%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : HWV003-2 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n011.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 : Sat Jul 16 18:29:09 EDT 2022
% Result : Unsatisfiable 52.71s 52.87s
% Output : CNFRefutation 56.21s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(or_commutative,axiom,
or(X,Y) = or(Y,X) ).
cnf(and_commutative,axiom,
and(X,Y) = and(Y,X) ).
cnf(or_associative,axiom,
or(or(X,Y),Z) = or(X,or(Y,Z)) ).
cnf(and_associative,axiom,
and(and(X,Y),Z) = and(X,and(Y,Z)) ).
cnf(or_identity,axiom,
or(X,ll0) = X ).
cnf(and_identity,axiom,
and(X,ll1) = X ).
cnf(or_distributive,axiom,
and(X,or(Y,Z)) = or(and(X,Y),and(X,Z)) ).
cnf(and_distributive,axiom,
or(X,and(Y,Z)) = and(or(X,Y),or(X,Z)) ).
cnf(or_complement,axiom,
or(X,not(X)) = ll1 ).
cnf(and_complement,axiom,
and(X,not(X)) = ll0 ).
cnf(or_idempotent,axiom,
or(X,X) = X ).
cnf(and_idempotent,axiom,
and(X,X) = X ).
cnf(not_involution,axiom,
not(not(X)) = X ).
cnf(ll0_inverse,axiom,
not(ll0) = ll1 ).
cnf(ll1_inverse,axiom,
not(ll1) = ll0 ).
cnf(or_boundedness,axiom,
or(X,ll1) = ll1 ).
cnf(and_boundedness,axiom,
and(X,ll0) = ll0 ).
cnf(or_absorption,axiom,
or(X,and(X,Y)) = X ).
cnf(and_absorption,axiom,
and(X,or(X,Y)) = X ).
cnf(or_demorgan,axiom,
not(or(X,Y)) = and(not(X),not(Y)) ).
cnf(and_demorgan,axiom,
not(and(X,Y)) = or(not(X),not(Y)) ).
cnf(xor_definition,axiom,
or(and(not(X),Y),and(X,not(Y))) = xor(X,Y) ).
cnf(xor_commutative,axiom,
xor(X,Y) = xor(Y,X) ).
cnf(xor_associative,axiom,
xor(X,xor(Y,Z)) = xor(xor(X,Y),Z) ).
cnf(sum_def,negated_conjecture,
xor(xor(a,b),cin) = sum_def ).
cnf(carry_def,negated_conjecture,
or(and(cin,or(a,b)),and(not(cin),and(a,b))) = carry_def ).
cnf(t1,negated_conjecture,
not(and(a,b)) = t1 ).
cnf(t2,negated_conjecture,
not(and(a,t1)) = t2 ).
cnf(t3,negated_conjecture,
not(and(b,t1)) = t3 ).
cnf(t4,negated_conjecture,
not(and(t2,t3)) = t4 ).
cnf(t5,negated_conjecture,
not(and(t4,cin)) = t5 ).
cnf(t6,negated_conjecture,
not(and(t4,t5)) = t6 ).
cnf(t7,negated_conjecture,
not(and(t5,cin)) = t7 ).
cnf(sum,negated_conjecture,
not(and(t6,t7)) = sum ).
cnf(carry,negated_conjecture,
not(and(t1,t5)) = carry ).
cnf(prove_circuit,negated_conjecture,
( sum != sum_def
| carry != carry_def ) ).
cnf(refute_0_0,plain,
xor(X_334,xor(X_334,X_335)) = xor(xor(X_334,X_334),X_335),
inference(subst,[],[xor_associative:[bind(X,$fot(X_334)),bind(Y,$fot(X_334)),bind(Z,$fot(X_335))]]) ).
cnf(refute_0_1,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_2,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_3,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( or(X,Y) != or(Y,X)
| or(Y,X) = or(X,Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(X,Y))),bind(Y0,$fot(or(Y,X)))]]) ).
cnf(refute_0_5,plain,
or(Y,X) = or(X,Y),
inference(resolve,[$cnf( $equal(or(X,Y),or(Y,X)) )],[or_commutative,refute_0_4]) ).
cnf(refute_0_6,plain,
or(and(not(X),Y),and(X,not(Y))) = or(and(X,not(Y)),and(not(X),Y)),
inference(subst,[],[refute_0_5:[bind(X,$fot(and(X,not(Y)))),bind(Y,$fot(and(not(X),Y)))]]) ).
cnf(refute_0_7,plain,
( or(and(not(X),Y),and(X,not(Y))) != or(and(X,not(Y)),and(not(X),Y))
| or(and(not(X),Y),and(X,not(Y))) != xor(X,Y)
| or(and(X,not(Y)),and(not(X),Y)) = xor(X,Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(not(X),Y),and(X,not(Y))),xor(X,Y)) ),[0],$fot(or(and(X,not(Y)),and(not(X),Y)))]]) ).
cnf(refute_0_8,plain,
( or(and(not(X),Y),and(X,not(Y))) != xor(X,Y)
| or(and(X,not(Y)),and(not(X),Y)) = xor(X,Y) ),
inference(resolve,[$cnf( $equal(or(and(not(X),Y),and(X,not(Y))),or(and(X,not(Y)),and(not(X),Y))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
or(and(X,not(Y)),and(not(X),Y)) = xor(X,Y),
inference(resolve,[$cnf( $equal(or(and(not(X),Y),and(X,not(Y))),xor(X,Y)) )],[xor_definition,refute_0_8]) ).
cnf(refute_0_10,plain,
or(and(X_63,not(not(not(X_63)))),and(not(X_63),not(not(X_63)))) = xor(X_63,not(not(X_63))),
inference(subst,[],[refute_0_9:[bind(X,$fot(X_63)),bind(Y,$fot(not(not(X_63))))]]) ).
cnf(refute_0_11,plain,
and(not(X_63),not(not(X_63))) = ll0,
inference(subst,[],[and_complement:[bind(X,$fot(not(X_63)))]]) ).
cnf(refute_0_12,plain,
( and(not(X_63),not(not(X_63))) != ll0
| or(and(X_63,not(not(not(X_63)))),and(not(X_63),not(not(X_63)))) != xor(X_63,not(not(X_63)))
| or(and(X_63,not(not(not(X_63)))),ll0) = xor(X_63,not(not(X_63))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X_63,not(not(not(X_63)))),and(not(X_63),not(not(X_63)))),xor(X_63,not(not(X_63)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_13,plain,
( or(and(X_63,not(not(not(X_63)))),and(not(X_63),not(not(X_63)))) != xor(X_63,not(not(X_63)))
| or(and(X_63,not(not(not(X_63)))),ll0) = xor(X_63,not(not(X_63))) ),
inference(resolve,[$cnf( $equal(and(not(X_63),not(not(X_63))),ll0) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
or(and(X_63,not(not(not(X_63)))),ll0) = xor(X_63,not(not(X_63))),
inference(resolve,[$cnf( $equal(or(and(X_63,not(not(not(X_63)))),and(not(X_63),not(not(X_63)))),xor(X_63,not(not(X_63)))) )],[refute_0_10,refute_0_13]) ).
cnf(refute_0_15,plain,
and(X_63,not(X_63)) = ll0,
inference(subst,[],[and_complement:[bind(X,$fot(X_63))]]) ).
cnf(refute_0_16,plain,
not(not(not(X_63))) = not(X_63),
inference(subst,[],[not_involution:[bind(X,$fot(not(X_63)))]]) ).
cnf(refute_0_17,plain,
and(X_63,not(not(not(X_63)))) = and(X_63,not(not(not(X_63)))),
introduced(tautology,[refl,[$fot(and(X_63,not(not(not(X_63)))))]]) ).
cnf(refute_0_18,plain,
( and(X_63,not(not(not(X_63)))) != and(X_63,not(not(not(X_63))))
| not(not(not(X_63))) != not(X_63)
| and(X_63,not(not(not(X_63)))) = and(X_63,not(X_63)) ),
introduced(tautology,[equality,[$cnf( $equal(and(X_63,not(not(not(X_63)))),and(X_63,not(not(not(X_63))))) ),[1,1],$fot(not(X_63))]]) ).
cnf(refute_0_19,plain,
( not(not(not(X_63))) != not(X_63)
| and(X_63,not(not(not(X_63)))) = and(X_63,not(X_63)) ),
inference(resolve,[$cnf( $equal(and(X_63,not(not(not(X_63)))),and(X_63,not(not(not(X_63))))) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
and(X_63,not(not(not(X_63)))) = and(X_63,not(X_63)),
inference(resolve,[$cnf( $equal(not(not(not(X_63))),not(X_63)) )],[refute_0_16,refute_0_19]) ).
cnf(refute_0_21,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_22,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_3,refute_0_21]) ).
cnf(refute_0_23,plain,
( and(X_63,not(X_63)) != ll0
| and(X_63,not(not(not(X_63)))) != and(X_63,not(X_63))
| and(X_63,not(not(not(X_63)))) = ll0 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(X_63,not(not(not(X_63)))))),bind(Y0,$fot(and(X_63,not(X_63)))),bind(Z0,$fot(ll0))]]) ).
cnf(refute_0_24,plain,
( and(X_63,not(X_63)) != ll0
| and(X_63,not(not(not(X_63)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(X_63,not(not(not(X_63)))),and(X_63,not(X_63))) )],[refute_0_20,refute_0_23]) ).
cnf(refute_0_25,plain,
and(X_63,not(not(not(X_63)))) = ll0,
inference(resolve,[$cnf( $equal(and(X_63,not(X_63)),ll0) )],[refute_0_15,refute_0_24]) ).
cnf(refute_0_26,plain,
or(and(X_63,not(not(not(X_63)))),ll0) = and(X_63,not(not(not(X_63)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(X_63,not(not(not(X_63))))))]]) ).
cnf(refute_0_27,plain,
( and(X_63,not(not(not(X_63)))) != ll0
| or(and(X_63,not(not(not(X_63)))),ll0) != and(X_63,not(not(not(X_63))))
| or(and(X_63,not(not(not(X_63)))),ll0) = ll0 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(X_63,not(not(not(X_63)))),ll0))),bind(Y0,$fot(and(X_63,not(not(not(X_63)))))),bind(Z0,$fot(ll0))]]) ).
cnf(refute_0_28,plain,
( and(X_63,not(not(not(X_63)))) != ll0
| or(and(X_63,not(not(not(X_63)))),ll0) = ll0 ),
inference(resolve,[$cnf( $equal(or(and(X_63,not(not(not(X_63)))),ll0),and(X_63,not(not(not(X_63))))) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
or(and(X_63,not(not(not(X_63)))),ll0) = ll0,
inference(resolve,[$cnf( $equal(and(X_63,not(not(not(X_63)))),ll0) )],[refute_0_25,refute_0_28]) ).
cnf(refute_0_30,plain,
( or(and(X_63,not(not(not(X_63)))),ll0) != ll0
| or(and(X_63,not(not(not(X_63)))),ll0) != xor(X_63,not(not(X_63)))
| ll0 = xor(X_63,not(not(X_63))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X_63,not(not(not(X_63)))),ll0),xor(X_63,not(not(X_63)))) ),[0],$fot(ll0)]]) ).
cnf(refute_0_31,plain,
( or(and(X_63,not(not(not(X_63)))),ll0) != xor(X_63,not(not(X_63)))
| ll0 = xor(X_63,not(not(X_63))) ),
inference(resolve,[$cnf( $equal(or(and(X_63,not(not(not(X_63)))),ll0),ll0) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
not(not(X_63)) = X_63,
inference(subst,[],[not_involution:[bind(X,$fot(X_63))]]) ).
cnf(refute_0_33,plain,
xor(X_63,not(not(X_63))) = xor(X_63,not(not(X_63))),
introduced(tautology,[refl,[$fot(xor(X_63,not(not(X_63))))]]) ).
cnf(refute_0_34,plain,
( not(not(X_63)) != X_63
| xor(X_63,not(not(X_63))) != xor(X_63,not(not(X_63)))
| xor(X_63,not(not(X_63))) = xor(X_63,X_63) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_63,not(not(X_63))),xor(X_63,not(not(X_63)))) ),[1,1],$fot(X_63)]]) ).
cnf(refute_0_35,plain,
( not(not(X_63)) != X_63
| xor(X_63,not(not(X_63))) = xor(X_63,X_63) ),
inference(resolve,[$cnf( $equal(xor(X_63,not(not(X_63))),xor(X_63,not(not(X_63)))) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
xor(X_63,not(not(X_63))) = xor(X_63,X_63),
inference(resolve,[$cnf( $equal(not(not(X_63)),X_63) )],[refute_0_32,refute_0_35]) ).
cnf(refute_0_37,plain,
( ll0 != xor(X_63,not(not(X_63)))
| xor(X_63,not(not(X_63))) != xor(X_63,X_63)
| ll0 = xor(X_63,X_63) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll0,xor(X_63,X_63)) ),[0],$fot(xor(X_63,not(not(X_63))))]]) ).
cnf(refute_0_38,plain,
( ll0 != xor(X_63,not(not(X_63)))
| ll0 = xor(X_63,X_63) ),
inference(resolve,[$cnf( $equal(xor(X_63,not(not(X_63))),xor(X_63,X_63)) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
( or(and(X_63,not(not(not(X_63)))),ll0) != xor(X_63,not(not(X_63)))
| ll0 = xor(X_63,X_63) ),
inference(resolve,[$cnf( $equal(ll0,xor(X_63,not(not(X_63)))) )],[refute_0_31,refute_0_38]) ).
cnf(refute_0_40,plain,
ll0 = xor(X_63,X_63),
inference(resolve,[$cnf( $equal(or(and(X_63,not(not(not(X_63)))),ll0),xor(X_63,not(not(X_63)))) )],[refute_0_14,refute_0_39]) ).
cnf(refute_0_41,plain,
ll0 = xor(X_334,X_334),
inference(subst,[],[refute_0_40:[bind(X_63,$fot(X_334))]]) ).
cnf(refute_0_42,plain,
( ll0 != xor(X_334,X_334)
| xor(X_334,X_334) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(xor(X_334,X_334)))]]) ).
cnf(refute_0_43,plain,
xor(X_334,X_334) = ll0,
inference(resolve,[$cnf( $equal(ll0,xor(X_334,X_334)) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
( xor(X_334,X_334) != ll0
| xor(X_334,xor(X_334,X_335)) != xor(xor(X_334,X_334),X_335)
| xor(X_334,xor(X_334,X_335)) = xor(ll0,X_335) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_334,xor(X_334,X_335)),xor(xor(X_334,X_334),X_335)) ),[1,0],$fot(ll0)]]) ).
cnf(refute_0_45,plain,
( xor(X_334,xor(X_334,X_335)) != xor(xor(X_334,X_334),X_335)
| xor(X_334,xor(X_334,X_335)) = xor(ll0,X_335) ),
inference(resolve,[$cnf( $equal(xor(X_334,X_334),ll0) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
xor(X_334,xor(X_334,X_335)) = xor(ll0,X_335),
inference(resolve,[$cnf( $equal(xor(X_334,xor(X_334,X_335)),xor(xor(X_334,X_334),X_335)) )],[refute_0_0,refute_0_45]) ).
cnf(refute_0_47,plain,
or(and(ll0,not(X_64)),and(not(ll0),X_64)) = xor(ll0,X_64),
inference(subst,[],[refute_0_9:[bind(X,$fot(ll0)),bind(Y,$fot(X_64))]]) ).
cnf(refute_0_48,plain,
( not(ll0) != ll1
| or(and(ll0,not(X_64)),and(not(ll0),X_64)) != xor(ll0,X_64)
| or(and(ll0,not(X_64)),and(ll1,X_64)) = xor(ll0,X_64) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(ll0,not(X_64)),and(not(ll0),X_64)),xor(ll0,X_64)) ),[0,1,0],$fot(ll1)]]) ).
cnf(refute_0_49,plain,
( or(and(ll0,not(X_64)),and(not(ll0),X_64)) != xor(ll0,X_64)
| or(and(ll0,not(X_64)),and(ll1,X_64)) = xor(ll0,X_64) ),
inference(resolve,[$cnf( $equal(not(ll0),ll1) )],[ll0_inverse,refute_0_48]) ).
cnf(refute_0_50,plain,
or(and(ll0,not(X_64)),and(ll1,X_64)) = xor(ll0,X_64),
inference(resolve,[$cnf( $equal(or(and(ll0,not(X_64)),and(not(ll0),X_64)),xor(ll0,X_64)) )],[refute_0_47,refute_0_49]) ).
cnf(refute_0_51,plain,
or(X_64,ll0) = X_64,
inference(subst,[],[or_identity:[bind(X,$fot(X_64))]]) ).
cnf(refute_0_52,plain,
and(X,ll0) = and(ll0,X),
inference(subst,[],[and_commutative:[bind(Y,$fot(ll0))]]) ).
cnf(refute_0_53,plain,
( and(X,ll0) != and(ll0,X)
| and(X,ll0) != ll0
| and(ll0,X) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(X,ll0),ll0) ),[0],$fot(and(ll0,X))]]) ).
cnf(refute_0_54,plain,
( and(X,ll0) != ll0
| and(ll0,X) = ll0 ),
inference(resolve,[$cnf( $equal(and(X,ll0),and(ll0,X)) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
and(ll0,X) = ll0,
inference(resolve,[$cnf( $equal(and(X,ll0),ll0) )],[and_boundedness,refute_0_54]) ).
cnf(refute_0_56,plain,
and(ll0,not(X_64)) = ll0,
inference(subst,[],[refute_0_55:[bind(X,$fot(not(X_64)))]]) ).
cnf(refute_0_57,plain,
or(X_64,and(ll0,not(X_64))) = or(X_64,and(ll0,not(X_64))),
introduced(tautology,[refl,[$fot(or(X_64,and(ll0,not(X_64))))]]) ).
cnf(refute_0_58,plain,
( and(ll0,not(X_64)) != ll0
| or(X_64,and(ll0,not(X_64))) != or(X_64,and(ll0,not(X_64)))
| or(X_64,and(ll0,not(X_64))) = or(X_64,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(or(X_64,and(ll0,not(X_64))),or(X_64,and(ll0,not(X_64)))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_59,plain,
( and(ll0,not(X_64)) != ll0
| or(X_64,and(ll0,not(X_64))) = or(X_64,ll0) ),
inference(resolve,[$cnf( $equal(or(X_64,and(ll0,not(X_64))),or(X_64,and(ll0,not(X_64)))) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
or(X_64,and(ll0,not(X_64))) = or(X_64,ll0),
inference(resolve,[$cnf( $equal(and(ll0,not(X_64)),ll0) )],[refute_0_56,refute_0_59]) ).
cnf(refute_0_61,plain,
and(X,ll1) = and(ll1,X),
inference(subst,[],[and_commutative:[bind(Y,$fot(ll1))]]) ).
cnf(refute_0_62,plain,
( and(X,ll1) != X
| and(X,ll1) != and(ll1,X)
| and(ll1,X) = X ),
introduced(tautology,[equality,[$cnf( $equal(and(X,ll1),X) ),[0],$fot(and(ll1,X))]]) ).
cnf(refute_0_63,plain,
( and(X,ll1) != X
| and(ll1,X) = X ),
inference(resolve,[$cnf( $equal(and(X,ll1),and(ll1,X)) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
and(ll1,X) = X,
inference(resolve,[$cnf( $equal(and(X,ll1),X) )],[and_identity,refute_0_63]) ).
cnf(refute_0_65,plain,
and(ll1,X_64) = X_64,
inference(subst,[],[refute_0_64:[bind(X,$fot(X_64))]]) ).
cnf(refute_0_66,plain,
or(and(ll1,X_64),and(ll0,not(X_64))) = or(and(ll1,X_64),and(ll0,not(X_64))),
introduced(tautology,[refl,[$fot(or(and(ll1,X_64),and(ll0,not(X_64))))]]) ).
cnf(refute_0_67,plain,
( and(ll1,X_64) != X_64
| or(and(ll1,X_64),and(ll0,not(X_64))) != or(and(ll1,X_64),and(ll0,not(X_64)))
| or(and(ll1,X_64),and(ll0,not(X_64))) = or(X_64,and(ll0,not(X_64))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(ll1,X_64),and(ll0,not(X_64))),or(and(ll1,X_64),and(ll0,not(X_64)))) ),[1,0],$fot(X_64)]]) ).
cnf(refute_0_68,plain,
( and(ll1,X_64) != X_64
| or(and(ll1,X_64),and(ll0,not(X_64))) = or(X_64,and(ll0,not(X_64))) ),
inference(resolve,[$cnf( $equal(or(and(ll1,X_64),and(ll0,not(X_64))),or(and(ll1,X_64),and(ll0,not(X_64)))) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
or(and(ll1,X_64),and(ll0,not(X_64))) = or(X_64,and(ll0,not(X_64))),
inference(resolve,[$cnf( $equal(and(ll1,X_64),X_64) )],[refute_0_65,refute_0_68]) ).
cnf(refute_0_70,plain,
( or(X_64,and(ll0,not(X_64))) != or(X_64,ll0)
| or(and(ll1,X_64),and(ll0,not(X_64))) != or(X_64,and(ll0,not(X_64)))
| or(and(ll1,X_64),and(ll0,not(X_64))) = or(X_64,ll0) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(ll1,X_64),and(ll0,not(X_64))))),bind(Y0,$fot(or(X_64,and(ll0,not(X_64))))),bind(Z0,$fot(or(X_64,ll0)))]]) ).
cnf(refute_0_71,plain,
( or(X_64,and(ll0,not(X_64))) != or(X_64,ll0)
| or(and(ll1,X_64),and(ll0,not(X_64))) = or(X_64,ll0) ),
inference(resolve,[$cnf( $equal(or(and(ll1,X_64),and(ll0,not(X_64))),or(X_64,and(ll0,not(X_64)))) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
or(and(ll1,X_64),and(ll0,not(X_64))) = or(X_64,ll0),
inference(resolve,[$cnf( $equal(or(X_64,and(ll0,not(X_64))),or(X_64,ll0)) )],[refute_0_60,refute_0_71]) ).
cnf(refute_0_73,plain,
( or(X_64,ll0) != X_64
| or(and(ll1,X_64),and(ll0,not(X_64))) != or(X_64,ll0)
| or(and(ll1,X_64),and(ll0,not(X_64))) = X_64 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(ll1,X_64),and(ll0,not(X_64))))),bind(Y0,$fot(or(X_64,ll0))),bind(Z0,$fot(X_64))]]) ).
cnf(refute_0_74,plain,
( or(X_64,ll0) != X_64
| or(and(ll1,X_64),and(ll0,not(X_64))) = X_64 ),
inference(resolve,[$cnf( $equal(or(and(ll1,X_64),and(ll0,not(X_64))),or(X_64,ll0)) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
or(and(ll1,X_64),and(ll0,not(X_64))) = X_64,
inference(resolve,[$cnf( $equal(or(X_64,ll0),X_64) )],[refute_0_51,refute_0_74]) ).
cnf(refute_0_76,plain,
or(and(ll0,not(X_64)),and(ll1,X_64)) = or(and(ll1,X_64),and(ll0,not(X_64))),
inference(subst,[],[refute_0_5:[bind(X,$fot(and(ll1,X_64))),bind(Y,$fot(and(ll0,not(X_64))))]]) ).
cnf(refute_0_77,plain,
( or(and(ll0,not(X_64)),and(ll1,X_64)) != or(and(ll1,X_64),and(ll0,not(X_64)))
| or(and(ll1,X_64),and(ll0,not(X_64))) != X_64
| or(and(ll0,not(X_64)),and(ll1,X_64)) = X_64 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(ll0,not(X_64)),and(ll1,X_64)))),bind(Y0,$fot(or(and(ll1,X_64),and(ll0,not(X_64))))),bind(Z0,$fot(X_64))]]) ).
cnf(refute_0_78,plain,
( or(and(ll1,X_64),and(ll0,not(X_64))) != X_64
| or(and(ll0,not(X_64)),and(ll1,X_64)) = X_64 ),
inference(resolve,[$cnf( $equal(or(and(ll0,not(X_64)),and(ll1,X_64)),or(and(ll1,X_64),and(ll0,not(X_64)))) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
or(and(ll0,not(X_64)),and(ll1,X_64)) = X_64,
inference(resolve,[$cnf( $equal(or(and(ll1,X_64),and(ll0,not(X_64))),X_64) )],[refute_0_75,refute_0_78]) ).
cnf(refute_0_80,plain,
( or(and(ll0,not(X_64)),and(ll1,X_64)) != X_64
| or(and(ll0,not(X_64)),and(ll1,X_64)) != xor(ll0,X_64)
| X_64 = xor(ll0,X_64) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(ll0,not(X_64)),and(ll1,X_64)),xor(ll0,X_64)) ),[0],$fot(X_64)]]) ).
cnf(refute_0_81,plain,
( or(and(ll0,not(X_64)),and(ll1,X_64)) != xor(ll0,X_64)
| X_64 = xor(ll0,X_64) ),
inference(resolve,[$cnf( $equal(or(and(ll0,not(X_64)),and(ll1,X_64)),X_64) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
X_64 = xor(ll0,X_64),
inference(resolve,[$cnf( $equal(or(and(ll0,not(X_64)),and(ll1,X_64)),xor(ll0,X_64)) )],[refute_0_50,refute_0_81]) ).
cnf(refute_0_83,plain,
( X_64 != xor(ll0,X_64)
| xor(ll0,X_64) = X_64 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_64)),bind(Y0,$fot(xor(ll0,X_64)))]]) ).
cnf(refute_0_84,plain,
xor(ll0,X_64) = X_64,
inference(resolve,[$cnf( $equal(X_64,xor(ll0,X_64)) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
xor(ll0,X_335) = X_335,
inference(subst,[],[refute_0_84:[bind(X_64,$fot(X_335))]]) ).
cnf(refute_0_86,plain,
( xor(X_334,xor(X_334,X_335)) != xor(ll0,X_335)
| xor(ll0,X_335) != X_335
| xor(X_334,xor(X_334,X_335)) = X_335 ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(X_334,xor(X_334,X_335)),X_335) ),[0],$fot(xor(ll0,X_335))]]) ).
cnf(refute_0_87,plain,
( xor(X_334,xor(X_334,X_335)) != xor(ll0,X_335)
| xor(X_334,xor(X_334,X_335)) = X_335 ),
inference(resolve,[$cnf( $equal(xor(ll0,X_335),X_335) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
xor(X_334,xor(X_334,X_335)) = X_335,
inference(resolve,[$cnf( $equal(xor(X_334,xor(X_334,X_335)),xor(ll0,X_335)) )],[refute_0_46,refute_0_87]) ).
cnf(refute_0_89,plain,
xor(carry,xor(carry,carry_def)) = carry_def,
inference(subst,[],[refute_0_88:[bind(X_334,$fot(carry)),bind(X_335,$fot(carry_def))]]) ).
cnf(refute_0_90,plain,
or(and(carry,not(carry_def)),and(not(carry),carry_def)) = xor(carry,carry_def),
inference(subst,[],[refute_0_9:[bind(X,$fot(carry)),bind(Y,$fot(carry_def))]]) ).
cnf(refute_0_91,plain,
or(and(or(X_147,X_146),not(or(X_146,X_147))),and(not(or(X_147,X_146)),or(X_146,X_147))) = xor(or(X_147,X_146),or(X_146,X_147)),
inference(subst,[],[refute_0_9:[bind(X,$fot(or(X_147,X_146))),bind(Y,$fot(or(X_146,X_147)))]]) ).
cnf(refute_0_92,plain,
and(or(X_28,X_27),not(or(X_28,X_27))) = ll0,
inference(subst,[],[and_complement:[bind(X,$fot(or(X_28,X_27)))]]) ).
cnf(refute_0_93,plain,
and(not(X_26),not(X_25)) = and(not(X_25),not(X_26)),
inference(subst,[],[and_commutative:[bind(X,$fot(not(X_26))),bind(Y,$fot(not(X_25)))]]) ).
cnf(refute_0_94,plain,
not(or(X_25,X_26)) = and(not(X_25),not(X_26)),
inference(subst,[],[or_demorgan:[bind(X,$fot(X_25)),bind(Y,$fot(X_26))]]) ).
cnf(refute_0_95,plain,
( not(or(X_25,X_26)) != and(not(X_25),not(X_26))
| and(not(X_25),not(X_26)) = not(or(X_25,X_26)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X_25,X_26)))),bind(Y0,$fot(and(not(X_25),not(X_26))))]]) ).
cnf(refute_0_96,plain,
and(not(X_25),not(X_26)) = not(or(X_25,X_26)),
inference(resolve,[$cnf( $equal(not(or(X_25,X_26)),and(not(X_25),not(X_26))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
( and(not(X_25),not(X_26)) != not(or(X_25,X_26))
| and(not(X_26),not(X_25)) != and(not(X_25),not(X_26))
| and(not(X_26),not(X_25)) = not(or(X_25,X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(X_26),not(X_25)),and(not(X_25),not(X_26))) ),[1],$fot(not(or(X_25,X_26)))]]) ).
cnf(refute_0_98,plain,
( and(not(X_26),not(X_25)) != and(not(X_25),not(X_26))
| and(not(X_26),not(X_25)) = not(or(X_25,X_26)) ),
inference(resolve,[$cnf( $equal(and(not(X_25),not(X_26)),not(or(X_25,X_26))) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
and(not(X_26),not(X_25)) = not(or(X_25,X_26)),
inference(resolve,[$cnf( $equal(and(not(X_26),not(X_25)),and(not(X_25),not(X_26))) )],[refute_0_93,refute_0_98]) ).
cnf(refute_0_100,plain,
( not(or(X,Y)) != and(not(X),not(Y))
| and(not(X),not(Y)) = not(or(X,Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X,Y)))),bind(Y0,$fot(and(not(X),not(Y))))]]) ).
cnf(refute_0_101,plain,
and(not(X),not(Y)) = not(or(X,Y)),
inference(resolve,[$cnf( $equal(not(or(X,Y)),and(not(X),not(Y))) )],[or_demorgan,refute_0_100]) ).
cnf(refute_0_102,plain,
and(not(X_26),not(X_25)) = not(or(X_26,X_25)),
inference(subst,[],[refute_0_101:[bind(X,$fot(X_26)),bind(Y,$fot(X_25))]]) ).
cnf(refute_0_103,plain,
( and(not(X_26),not(X_25)) != not(or(X_25,X_26))
| and(not(X_26),not(X_25)) != not(or(X_26,X_25))
| not(or(X_26,X_25)) = not(or(X_25,X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(X_26),not(X_25)),not(or(X_25,X_26))) ),[0],$fot(not(or(X_26,X_25)))]]) ).
cnf(refute_0_104,plain,
( and(not(X_26),not(X_25)) != not(or(X_25,X_26))
| not(or(X_26,X_25)) = not(or(X_25,X_26)) ),
inference(resolve,[$cnf( $equal(and(not(X_26),not(X_25)),not(or(X_26,X_25))) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
not(or(X_26,X_25)) = not(or(X_25,X_26)),
inference(resolve,[$cnf( $equal(and(not(X_26),not(X_25)),not(or(X_25,X_26))) )],[refute_0_99,refute_0_104]) ).
cnf(refute_0_106,plain,
not(or(X_28,X_27)) = not(or(X_27,X_28)),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(X_27)),bind(X_26,$fot(X_28))]]) ).
cnf(refute_0_107,plain,
( and(or(X_28,X_27),not(or(X_28,X_27))) != ll0
| not(or(X_28,X_27)) != not(or(X_27,X_28))
| and(or(X_28,X_27),not(or(X_27,X_28))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(X_28,X_27),not(or(X_28,X_27))),ll0) ),[0,1],$fot(not(or(X_27,X_28)))]]) ).
cnf(refute_0_108,plain,
( and(or(X_28,X_27),not(or(X_28,X_27))) != ll0
| and(or(X_28,X_27),not(or(X_27,X_28))) = ll0 ),
inference(resolve,[$cnf( $equal(not(or(X_28,X_27)),not(or(X_27,X_28))) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
and(or(X_28,X_27),not(or(X_27,X_28))) = ll0,
inference(resolve,[$cnf( $equal(and(or(X_28,X_27),not(or(X_28,X_27))),ll0) )],[refute_0_92,refute_0_108]) ).
cnf(refute_0_110,plain,
and(or(X_147,X_146),not(or(X_146,X_147))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(X_146)),bind(X_28,$fot(X_147))]]) ).
cnf(refute_0_111,plain,
( and(or(X_147,X_146),not(or(X_146,X_147))) != ll0
| or(and(or(X_147,X_146),not(or(X_146,X_147))),and(not(or(X_147,X_146)),or(X_146,X_147))) != xor(or(X_147,X_146),or(X_146,X_147))
| or(ll0,and(not(or(X_147,X_146)),or(X_146,X_147))) = xor(or(X_147,X_146),or(X_146,X_147)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(or(X_147,X_146),not(or(X_146,X_147))),and(not(or(X_147,X_146)),or(X_146,X_147))),xor(or(X_147,X_146),or(X_146,X_147))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_112,plain,
( or(and(or(X_147,X_146),not(or(X_146,X_147))),and(not(or(X_147,X_146)),or(X_146,X_147))) != xor(or(X_147,X_146),or(X_146,X_147))
| or(ll0,and(not(or(X_147,X_146)),or(X_146,X_147))) = xor(or(X_147,X_146),or(X_146,X_147)) ),
inference(resolve,[$cnf( $equal(and(or(X_147,X_146),not(or(X_146,X_147))),ll0) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
or(ll0,and(not(or(X_147,X_146)),or(X_146,X_147))) = xor(or(X_147,X_146),or(X_146,X_147)),
inference(resolve,[$cnf( $equal(or(and(or(X_147,X_146),not(or(X_146,X_147))),and(not(or(X_147,X_146)),or(X_146,X_147))),xor(or(X_147,X_146),or(X_146,X_147))) )],[refute_0_91,refute_0_112]) ).
cnf(refute_0_114,plain,
and(or(X_146,X_147),not(or(X_147,X_146))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(X_147)),bind(X_28,$fot(X_146))]]) ).
cnf(refute_0_115,plain,
( and(X,Y) != and(Y,X)
| and(Y,X) = and(X,Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X,Y))),bind(Y0,$fot(and(Y,X)))]]) ).
cnf(refute_0_116,plain,
and(Y,X) = and(X,Y),
inference(resolve,[$cnf( $equal(and(X,Y),and(Y,X)) )],[and_commutative,refute_0_115]) ).
cnf(refute_0_117,plain,
and(not(or(X_147,X_146)),or(X_146,X_147)) = and(or(X_146,X_147),not(or(X_147,X_146))),
inference(subst,[],[refute_0_116:[bind(X,$fot(or(X_146,X_147))),bind(Y,$fot(not(or(X_147,X_146))))]]) ).
cnf(refute_0_118,plain,
( and(not(or(X_147,X_146)),or(X_146,X_147)) != and(or(X_146,X_147),not(or(X_147,X_146)))
| and(or(X_146,X_147),not(or(X_147,X_146))) != ll0
| and(not(or(X_147,X_146)),or(X_146,X_147)) = ll0 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(or(X_147,X_146)),or(X_146,X_147)))),bind(Y0,$fot(and(or(X_146,X_147),not(or(X_147,X_146))))),bind(Z0,$fot(ll0))]]) ).
cnf(refute_0_119,plain,
( and(or(X_146,X_147),not(or(X_147,X_146))) != ll0
| and(not(or(X_147,X_146)),or(X_146,X_147)) = ll0 ),
inference(resolve,[$cnf( $equal(and(not(or(X_147,X_146)),or(X_146,X_147)),and(or(X_146,X_147),not(or(X_147,X_146)))) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
and(not(or(X_147,X_146)),or(X_146,X_147)) = ll0,
inference(resolve,[$cnf( $equal(and(or(X_146,X_147),not(or(X_147,X_146))),ll0) )],[refute_0_114,refute_0_119]) ).
cnf(refute_0_121,plain,
or(X,ll0) = or(ll0,X),
inference(subst,[],[or_commutative:[bind(Y,$fot(ll0))]]) ).
cnf(refute_0_122,plain,
( or(X,ll0) != X
| or(X,ll0) != or(ll0,X)
| or(ll0,X) = X ),
introduced(tautology,[equality,[$cnf( $equal(or(X,ll0),X) ),[0],$fot(or(ll0,X))]]) ).
cnf(refute_0_123,plain,
( or(X,ll0) != X
| or(ll0,X) = X ),
inference(resolve,[$cnf( $equal(or(X,ll0),or(ll0,X)) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
or(ll0,X) = X,
inference(resolve,[$cnf( $equal(or(X,ll0),X) )],[or_identity,refute_0_123]) ).
cnf(refute_0_125,plain,
or(ll0,and(not(or(X_147,X_146)),or(X_146,X_147))) = and(not(or(X_147,X_146)),or(X_146,X_147)),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(or(X_147,X_146)),or(X_146,X_147))))]]) ).
cnf(refute_0_126,plain,
( and(not(or(X_147,X_146)),or(X_146,X_147)) != ll0
| or(ll0,and(not(or(X_147,X_146)),or(X_146,X_147))) != and(not(or(X_147,X_146)),or(X_146,X_147))
| or(ll0,and(not(or(X_147,X_146)),or(X_146,X_147))) = ll0 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(ll0,and(not(or(X_147,X_146)),or(X_146,X_147))))),bind(Y0,$fot(and(not(or(X_147,X_146)),or(X_146,X_147)))),bind(Z0,$fot(ll0))]]) ).
cnf(refute_0_127,plain,
( and(not(or(X_147,X_146)),or(X_146,X_147)) != ll0
| or(ll0,and(not(or(X_147,X_146)),or(X_146,X_147))) = ll0 ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(or(X_147,X_146)),or(X_146,X_147))),and(not(or(X_147,X_146)),or(X_146,X_147))) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
or(ll0,and(not(or(X_147,X_146)),or(X_146,X_147))) = ll0,
inference(resolve,[$cnf( $equal(and(not(or(X_147,X_146)),or(X_146,X_147)),ll0) )],[refute_0_120,refute_0_127]) ).
cnf(refute_0_129,plain,
( or(ll0,and(not(or(X_147,X_146)),or(X_146,X_147))) != ll0
| or(ll0,and(not(or(X_147,X_146)),or(X_146,X_147))) != xor(or(X_147,X_146),or(X_146,X_147))
| ll0 = xor(or(X_147,X_146),or(X_146,X_147)) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(or(X_147,X_146)),or(X_146,X_147))),xor(or(X_147,X_146),or(X_146,X_147))) ),[0],$fot(ll0)]]) ).
cnf(refute_0_130,plain,
( or(ll0,and(not(or(X_147,X_146)),or(X_146,X_147))) != xor(or(X_147,X_146),or(X_146,X_147))
| ll0 = xor(or(X_147,X_146),or(X_146,X_147)) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(or(X_147,X_146)),or(X_146,X_147))),ll0) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
ll0 = xor(or(X_147,X_146),or(X_146,X_147)),
inference(resolve,[$cnf( $equal(or(ll0,and(not(or(X_147,X_146)),or(X_146,X_147))),xor(or(X_147,X_146),or(X_146,X_147))) )],[refute_0_113,refute_0_130]) ).
cnf(refute_0_132,plain,
ll0 = xor(or(carry_def,not(carry)),or(not(carry),carry_def)),
inference(subst,[],[refute_0_131:[bind(X_146,$fot(not(carry))),bind(X_147,$fot(carry_def))]]) ).
cnf(refute_0_133,plain,
or(or(X_37,X_38),not(or(X_37,X_38))) = ll1,
inference(subst,[],[or_complement:[bind(X,$fot(or(X_37,X_38)))]]) ).
cnf(refute_0_134,plain,
or(or(X_37,X_38),not(or(X_37,X_38))) = or(X_37,or(X_38,not(or(X_37,X_38)))),
inference(subst,[],[or_associative:[bind(X,$fot(X_37)),bind(Y,$fot(X_38)),bind(Z,$fot(not(or(X_37,X_38))))]]) ).
cnf(refute_0_135,plain,
( or(or(X_37,X_38),not(or(X_37,X_38))) != ll1
| or(or(X_37,X_38),not(or(X_37,X_38))) != or(X_37,or(X_38,not(or(X_37,X_38))))
| or(X_37,or(X_38,not(or(X_37,X_38)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(or(X_37,X_38),not(or(X_37,X_38))),ll1) ),[0],$fot(or(X_37,or(X_38,not(or(X_37,X_38)))))]]) ).
cnf(refute_0_136,plain,
( or(or(X_37,X_38),not(or(X_37,X_38))) != ll1
| or(X_37,or(X_38,not(or(X_37,X_38)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(or(X_37,X_38),not(or(X_37,X_38))),or(X_37,or(X_38,not(or(X_37,X_38))))) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
or(X_37,or(X_38,not(or(X_37,X_38)))) = ll1,
inference(resolve,[$cnf( $equal(or(or(X_37,X_38),not(or(X_37,X_38))),ll1) )],[refute_0_133,refute_0_136]) ).
cnf(refute_0_138,plain,
or(carry_def,or(not(or(a,t7)),not(or(carry_def,not(or(a,t7)))))) = ll1,
inference(subst,[],[refute_0_137:[bind(X_37,$fot(carry_def)),bind(X_38,$fot(not(or(a,t7))))]]) ).
cnf(refute_0_139,plain,
or(not(X_32),not(X_31)) = or(not(X_31),not(X_32)),
inference(subst,[],[or_commutative:[bind(X,$fot(not(X_32))),bind(Y,$fot(not(X_31)))]]) ).
cnf(refute_0_140,plain,
not(and(X_31,X_32)) = or(not(X_31),not(X_32)),
inference(subst,[],[and_demorgan:[bind(X,$fot(X_31)),bind(Y,$fot(X_32))]]) ).
cnf(refute_0_141,plain,
( not(and(X_31,X_32)) != or(not(X_31),not(X_32))
| or(not(X_31),not(X_32)) = not(and(X_31,X_32)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(X_31,X_32)))),bind(Y0,$fot(or(not(X_31),not(X_32))))]]) ).
cnf(refute_0_142,plain,
or(not(X_31),not(X_32)) = not(and(X_31,X_32)),
inference(resolve,[$cnf( $equal(not(and(X_31,X_32)),or(not(X_31),not(X_32))) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
( or(not(X_31),not(X_32)) != not(and(X_31,X_32))
| or(not(X_32),not(X_31)) != or(not(X_31),not(X_32))
| or(not(X_32),not(X_31)) = not(and(X_31,X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(X_32),not(X_31)),or(not(X_31),not(X_32))) ),[1],$fot(not(and(X_31,X_32)))]]) ).
cnf(refute_0_144,plain,
( or(not(X_32),not(X_31)) != or(not(X_31),not(X_32))
| or(not(X_32),not(X_31)) = not(and(X_31,X_32)) ),
inference(resolve,[$cnf( $equal(or(not(X_31),not(X_32)),not(and(X_31,X_32))) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
or(not(X_32),not(X_31)) = not(and(X_31,X_32)),
inference(resolve,[$cnf( $equal(or(not(X_32),not(X_31)),or(not(X_31),not(X_32))) )],[refute_0_139,refute_0_144]) ).
cnf(refute_0_146,plain,
( not(and(X,Y)) != or(not(X),not(Y))
| or(not(X),not(Y)) = not(and(X,Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(X,Y)))),bind(Y0,$fot(or(not(X),not(Y))))]]) ).
cnf(refute_0_147,plain,
or(not(X),not(Y)) = not(and(X,Y)),
inference(resolve,[$cnf( $equal(not(and(X,Y)),or(not(X),not(Y))) )],[and_demorgan,refute_0_146]) ).
cnf(refute_0_148,plain,
or(not(X_32),not(X_31)) = not(and(X_32,X_31)),
inference(subst,[],[refute_0_147:[bind(X,$fot(X_32)),bind(Y,$fot(X_31))]]) ).
cnf(refute_0_149,plain,
( or(not(X_32),not(X_31)) != not(and(X_31,X_32))
| or(not(X_32),not(X_31)) != not(and(X_32,X_31))
| not(and(X_32,X_31)) = not(and(X_31,X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(X_32),not(X_31)),not(and(X_31,X_32))) ),[0],$fot(not(and(X_32,X_31)))]]) ).
cnf(refute_0_150,plain,
( or(not(X_32),not(X_31)) != not(and(X_31,X_32))
| not(and(X_32,X_31)) = not(and(X_31,X_32)) ),
inference(resolve,[$cnf( $equal(or(not(X_32),not(X_31)),not(and(X_32,X_31))) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
not(and(X_32,X_31)) = not(and(X_31,X_32)),
inference(resolve,[$cnf( $equal(or(not(X_32),not(X_31)),not(and(X_31,X_32))) )],[refute_0_145,refute_0_150]) ).
cnf(refute_0_152,plain,
not(and(or(a,t7),not(carry_def))) = not(and(not(carry_def),or(a,t7))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(not(carry_def))),bind(X_32,$fot(or(a,t7)))]]) ).
cnf(refute_0_153,plain,
or(and(carry_def,not(or(a,t7))),and(not(carry_def),or(a,t7))) = xor(carry_def,or(a,t7)),
inference(subst,[],[refute_0_9:[bind(X,$fot(carry_def)),bind(Y,$fot(or(a,t7)))]]) ).
cnf(refute_0_154,plain,
ll0 = xor(or(carry,not(and(carry_def,cin))),or(not(and(carry_def,cin)),carry)),
inference(subst,[],[refute_0_131:[bind(X_146,$fot(not(and(carry_def,cin)))),bind(X_147,$fot(carry))]]) ).
cnf(refute_0_155,plain,
or(or(not(X_29),X_30),not(or(not(X_29),X_30))) = ll1,
inference(subst,[],[or_complement:[bind(X,$fot(or(not(X_29),X_30)))]]) ).
cnf(refute_0_156,plain,
not(or(not(X),X_26)) = and(not(not(X)),not(X_26)),
inference(subst,[],[or_demorgan:[bind(X,$fot(not(X))),bind(Y,$fot(X_26))]]) ).
cnf(refute_0_157,plain,
( not(not(X)) != X
| not(or(not(X),X_26)) != and(not(not(X)),not(X_26))
| not(or(not(X),X_26)) = and(X,not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(X),X_26)),and(not(not(X)),not(X_26))) ),[1,0],$fot(X)]]) ).
cnf(refute_0_158,plain,
( not(or(not(X),X_26)) != and(not(not(X)),not(X_26))
| not(or(not(X),X_26)) = and(X,not(X_26)) ),
inference(resolve,[$cnf( $equal(not(not(X)),X) )],[not_involution,refute_0_157]) ).
cnf(refute_0_159,plain,
not(or(not(X),X_26)) = and(X,not(X_26)),
inference(resolve,[$cnf( $equal(not(or(not(X),X_26)),and(not(not(X)),not(X_26))) )],[refute_0_156,refute_0_158]) ).
cnf(refute_0_160,plain,
not(or(not(X_29),X_30)) = and(X_29,not(X_30)),
inference(subst,[],[refute_0_159:[bind(X,$fot(X_29)),bind(X_26,$fot(X_30))]]) ).
cnf(refute_0_161,plain,
( not(or(not(X_29),X_30)) != and(X_29,not(X_30))
| or(or(not(X_29),X_30),not(or(not(X_29),X_30))) != ll1
| or(or(not(X_29),X_30),and(X_29,not(X_30))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(or(not(X_29),X_30),not(or(not(X_29),X_30))),ll1) ),[0,1],$fot(and(X_29,not(X_30)))]]) ).
cnf(refute_0_162,plain,
( or(or(not(X_29),X_30),not(or(not(X_29),X_30))) != ll1
| or(or(not(X_29),X_30),and(X_29,not(X_30))) = ll1 ),
inference(resolve,[$cnf( $equal(not(or(not(X_29),X_30)),and(X_29,not(X_30))) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
or(or(not(X_29),X_30),and(X_29,not(X_30))) = ll1,
inference(resolve,[$cnf( $equal(or(or(not(X_29),X_30),not(or(not(X_29),X_30))),ll1) )],[refute_0_155,refute_0_162]) ).
cnf(refute_0_164,plain,
or(or(not(X_29),X_30),and(X_29,not(X_30))) = or(not(X_29),or(X_30,and(X_29,not(X_30)))),
inference(subst,[],[or_associative:[bind(X,$fot(not(X_29))),bind(Y,$fot(X_30)),bind(Z,$fot(and(X_29,not(X_30))))]]) ).
cnf(refute_0_165,plain,
( or(or(not(X_29),X_30),and(X_29,not(X_30))) != ll1
| or(or(not(X_29),X_30),and(X_29,not(X_30))) != or(not(X_29),or(X_30,and(X_29,not(X_30))))
| or(not(X_29),or(X_30,and(X_29,not(X_30)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(or(not(X_29),X_30),and(X_29,not(X_30))),ll1) ),[0],$fot(or(not(X_29),or(X_30,and(X_29,not(X_30)))))]]) ).
cnf(refute_0_166,plain,
( or(or(not(X_29),X_30),and(X_29,not(X_30))) != ll1
| or(not(X_29),or(X_30,and(X_29,not(X_30)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(or(not(X_29),X_30),and(X_29,not(X_30))),or(not(X_29),or(X_30,and(X_29,not(X_30))))) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
or(not(X_29),or(X_30,and(X_29,not(X_30)))) = ll1,
inference(resolve,[$cnf( $equal(or(or(not(X_29),X_30),and(X_29,not(X_30))),ll1) )],[refute_0_163,refute_0_166]) ).
cnf(refute_0_168,plain,
or(not(cin),or(carry,and(cin,not(carry)))) = ll1,
inference(subst,[],[refute_0_167:[bind(X_29,$fot(cin)),bind(X_30,$fot(carry))]]) ).
cnf(refute_0_169,plain,
and(and(t1,t5),X_222) = and(t1,and(t5,X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(t1)),bind(Y,$fot(t5)),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_170,plain,
not(not(and(t1,t5))) = and(t1,t5),
inference(subst,[],[not_involution:[bind(X,$fot(and(t1,t5)))]]) ).
cnf(refute_0_171,plain,
( not(and(t1,t5)) != carry
| not(not(and(t1,t5))) != and(t1,t5)
| not(carry) = and(t1,t5) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(t1,t5))),and(t1,t5)) ),[0,0],$fot(carry)]]) ).
cnf(refute_0_172,plain,
( not(not(and(t1,t5))) != and(t1,t5)
| not(carry) = and(t1,t5) ),
inference(resolve,[$cnf( $equal(not(and(t1,t5)),carry) )],[carry,refute_0_171]) ).
cnf(refute_0_173,plain,
not(carry) = and(t1,t5),
inference(resolve,[$cnf( $equal(not(not(and(t1,t5))),and(t1,t5)) )],[refute_0_170,refute_0_172]) ).
cnf(refute_0_174,plain,
( not(carry) != and(t1,t5)
| and(t1,t5) = not(carry) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(carry))),bind(Y0,$fot(and(t1,t5)))]]) ).
cnf(refute_0_175,plain,
and(t1,t5) = not(carry),
inference(resolve,[$cnf( $equal(not(carry),and(t1,t5)) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
( and(and(t1,t5),X_222) != and(t1,and(t5,X_222))
| and(t1,t5) != not(carry)
| and(not(carry),X_222) = and(t1,and(t5,X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t1,t5),X_222),and(t1,and(t5,X_222))) ),[0,0],$fot(not(carry))]]) ).
cnf(refute_0_177,plain,
( and(and(t1,t5),X_222) != and(t1,and(t5,X_222))
| and(not(carry),X_222) = and(t1,and(t5,X_222)) ),
inference(resolve,[$cnf( $equal(and(t1,t5),not(carry)) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
and(not(carry),X_222) = and(t1,and(t5,X_222)),
inference(resolve,[$cnf( $equal(and(and(t1,t5),X_222),and(t1,and(t5,X_222))) )],[refute_0_169,refute_0_177]) ).
cnf(refute_0_179,plain,
and(not(carry),X_237) = and(t1,and(t5,X_237)),
inference(subst,[],[refute_0_178:[bind(X_222,$fot(X_237))]]) ).
cnf(refute_0_180,plain,
and(X_237,t5) = and(t5,X_237),
inference(subst,[],[and_commutative:[bind(X,$fot(X_237)),bind(Y,$fot(t5))]]) ).
cnf(refute_0_181,plain,
( and(X_237,t5) != and(t5,X_237)
| and(t5,X_237) = and(X_237,t5) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X_237,t5))),bind(Y0,$fot(and(t5,X_237)))]]) ).
cnf(refute_0_182,plain,
and(t5,X_237) = and(X_237,t5),
inference(resolve,[$cnf( $equal(and(X_237,t5),and(t5,X_237)) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
( and(not(carry),X_237) != and(t1,and(t5,X_237))
| and(t5,X_237) != and(X_237,t5)
| and(not(carry),X_237) = and(t1,and(X_237,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),X_237),and(t1,and(t5,X_237))) ),[1,1],$fot(and(X_237,t5))]]) ).
cnf(refute_0_184,plain,
( and(not(carry),X_237) != and(t1,and(t5,X_237))
| and(not(carry),X_237) = and(t1,and(X_237,t5)) ),
inference(resolve,[$cnf( $equal(and(t5,X_237),and(X_237,t5)) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
and(not(carry),X_237) = and(t1,and(X_237,t5)),
inference(resolve,[$cnf( $equal(and(not(carry),X_237),and(t1,and(t5,X_237))) )],[refute_0_179,refute_0_184]) ).
cnf(refute_0_186,plain,
and(not(carry),cin) = and(t1,and(cin,t5)),
inference(subst,[],[refute_0_185:[bind(X_237,$fot(cin))]]) ).
cnf(refute_0_187,plain,
not(not(and(cin,t5))) = and(cin,t5),
inference(subst,[],[not_involution:[bind(X,$fot(and(cin,t5)))]]) ).
cnf(refute_0_188,plain,
and(t5,cin) = and(cin,t5),
inference(subst,[],[refute_0_116:[bind(X,$fot(cin)),bind(Y,$fot(t5))]]) ).
cnf(refute_0_189,plain,
not(and(t5,cin)) = not(and(t5,cin)),
introduced(tautology,[refl,[$fot(not(and(t5,cin)))]]) ).
cnf(refute_0_190,plain,
( and(t5,cin) != and(cin,t5)
| not(and(t5,cin)) != not(and(t5,cin))
| not(and(t5,cin)) = not(and(cin,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(t5,cin)),not(and(t5,cin))) ),[1,0],$fot(and(cin,t5))]]) ).
cnf(refute_0_191,plain,
( and(t5,cin) != and(cin,t5)
| not(and(t5,cin)) = not(and(cin,t5)) ),
inference(resolve,[$cnf( $equal(not(and(t5,cin)),not(and(t5,cin))) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
not(and(t5,cin)) = not(and(cin,t5)),
inference(resolve,[$cnf( $equal(and(t5,cin),and(cin,t5)) )],[refute_0_188,refute_0_191]) ).
cnf(refute_0_193,plain,
( not(and(t5,cin)) != not(and(cin,t5))
| not(and(t5,cin)) != t7
| not(and(cin,t5)) = t7 ),
introduced(tautology,[equality,[$cnf( $equal(not(and(t5,cin)),t7) ),[0],$fot(not(and(cin,t5)))]]) ).
cnf(refute_0_194,plain,
( not(and(t5,cin)) != t7
| not(and(cin,t5)) = t7 ),
inference(resolve,[$cnf( $equal(not(and(t5,cin)),not(and(cin,t5))) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
not(and(cin,t5)) = t7,
inference(resolve,[$cnf( $equal(not(and(t5,cin)),t7) )],[t7,refute_0_194]) ).
cnf(refute_0_196,plain,
( not(and(cin,t5)) != t7
| not(not(and(cin,t5))) != and(cin,t5)
| not(t7) = and(cin,t5) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(cin,t5))),and(cin,t5)) ),[0,0],$fot(t7)]]) ).
cnf(refute_0_197,plain,
( not(not(and(cin,t5))) != and(cin,t5)
| not(t7) = and(cin,t5) ),
inference(resolve,[$cnf( $equal(not(and(cin,t5)),t7) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
not(t7) = and(cin,t5),
inference(resolve,[$cnf( $equal(not(not(and(cin,t5))),and(cin,t5)) )],[refute_0_187,refute_0_197]) ).
cnf(refute_0_199,plain,
( not(t7) != and(cin,t5)
| and(cin,t5) = not(t7) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t7))),bind(Y0,$fot(and(cin,t5)))]]) ).
cnf(refute_0_200,plain,
and(cin,t5) = not(t7),
inference(resolve,[$cnf( $equal(not(t7),and(cin,t5)) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
( and(cin,t5) != not(t7)
| and(not(carry),cin) != and(t1,and(cin,t5))
| and(not(carry),cin) = and(t1,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),cin),and(t1,and(cin,t5))) ),[1,1],$fot(not(t7))]]) ).
cnf(refute_0_202,plain,
( and(not(carry),cin) != and(t1,and(cin,t5))
| and(not(carry),cin) = and(t1,not(t7)) ),
inference(resolve,[$cnf( $equal(and(cin,t5),not(t7)) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
and(not(carry),cin) = and(t1,not(t7)),
inference(resolve,[$cnf( $equal(and(not(carry),cin),and(t1,and(cin,t5))) )],[refute_0_186,refute_0_202]) ).
cnf(refute_0_204,plain,
and(not(carry),cin) = and(cin,not(carry)),
inference(subst,[],[refute_0_116:[bind(X,$fot(cin)),bind(Y,$fot(not(carry)))]]) ).
cnf(refute_0_205,plain,
( and(not(carry),cin) != and(cin,not(carry))
| and(not(carry),cin) != and(t1,not(t7))
| and(cin,not(carry)) = and(t1,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),cin),and(t1,not(t7))) ),[0],$fot(and(cin,not(carry)))]]) ).
cnf(refute_0_206,plain,
( and(not(carry),cin) != and(t1,not(t7))
| and(cin,not(carry)) = and(t1,not(t7)) ),
inference(resolve,[$cnf( $equal(and(not(carry),cin),and(cin,not(carry))) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
and(not(carry),not(t7)) = and(t1,and(t5,not(t7))),
inference(subst,[],[refute_0_178:[bind(X_222,$fot(not(t7)))]]) ).
cnf(refute_0_208,plain,
and(X_19,or(X_19,X_20)) = X_19,
inference(subst,[],[and_absorption:[bind(X,$fot(X_19)),bind(Y,$fot(X_20))]]) ).
cnf(refute_0_209,plain,
or(X_20,X_19) = or(X_19,X_20),
inference(subst,[],[or_commutative:[bind(X,$fot(X_20)),bind(Y,$fot(X_19))]]) ).
cnf(refute_0_210,plain,
( or(X_20,X_19) != or(X_19,X_20)
| or(X_19,X_20) = or(X_20,X_19) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(X_20,X_19))),bind(Y0,$fot(or(X_19,X_20)))]]) ).
cnf(refute_0_211,plain,
or(X_19,X_20) = or(X_20,X_19),
inference(resolve,[$cnf( $equal(or(X_20,X_19),or(X_19,X_20)) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
( and(X_19,or(X_19,X_20)) != X_19
| or(X_19,X_20) != or(X_20,X_19)
| and(X_19,or(X_20,X_19)) = X_19 ),
introduced(tautology,[equality,[$cnf( $equal(and(X_19,or(X_19,X_20)),X_19) ),[0,1],$fot(or(X_20,X_19))]]) ).
cnf(refute_0_213,plain,
( and(X_19,or(X_19,X_20)) != X_19
| and(X_19,or(X_20,X_19)) = X_19 ),
inference(resolve,[$cnf( $equal(or(X_19,X_20),or(X_20,X_19)) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
and(X_19,or(X_20,X_19)) = X_19,
inference(resolve,[$cnf( $equal(and(X_19,or(X_19,X_20)),X_19) )],[refute_0_208,refute_0_213]) ).
cnf(refute_0_215,plain,
and(not(t7),or(t5,not(t7))) = not(t7),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(not(t7))),bind(X_20,$fot(t5))]]) ).
cnf(refute_0_216,plain,
or(X_13,and(X_13,X_14)) = X_13,
inference(subst,[],[or_absorption:[bind(X,$fot(X_13)),bind(Y,$fot(X_14))]]) ).
cnf(refute_0_217,plain,
and(X_14,X_13) = and(X_13,X_14),
inference(subst,[],[and_commutative:[bind(X,$fot(X_14)),bind(Y,$fot(X_13))]]) ).
cnf(refute_0_218,plain,
( and(X_14,X_13) != and(X_13,X_14)
| and(X_13,X_14) = and(X_14,X_13) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X_14,X_13))),bind(Y0,$fot(and(X_13,X_14)))]]) ).
cnf(refute_0_219,plain,
and(X_13,X_14) = and(X_14,X_13),
inference(resolve,[$cnf( $equal(and(X_14,X_13),and(X_13,X_14)) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
( and(X_13,X_14) != and(X_14,X_13)
| or(X_13,and(X_13,X_14)) != X_13
| or(X_13,and(X_14,X_13)) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(or(X_13,and(X_13,X_14)),X_13) ),[0,1],$fot(and(X_14,X_13))]]) ).
cnf(refute_0_221,plain,
( or(X_13,and(X_13,X_14)) != X_13
| or(X_13,and(X_14,X_13)) = X_13 ),
inference(resolve,[$cnf( $equal(and(X_13,X_14),and(X_14,X_13)) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
or(X_13,and(X_14,X_13)) = X_13,
inference(resolve,[$cnf( $equal(or(X_13,and(X_13,X_14)),X_13) )],[refute_0_216,refute_0_221]) ).
cnf(refute_0_223,plain,
or(t5,and(cin,t5)) = t5,
inference(subst,[],[refute_0_222:[bind(X_13,$fot(t5)),bind(X_14,$fot(cin))]]) ).
cnf(refute_0_224,plain,
( and(cin,t5) != not(t7)
| or(t5,and(cin,t5)) != t5
| or(t5,not(t7)) = t5 ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,and(cin,t5)),t5) ),[0,1],$fot(not(t7))]]) ).
cnf(refute_0_225,plain,
( or(t5,and(cin,t5)) != t5
| or(t5,not(t7)) = t5 ),
inference(resolve,[$cnf( $equal(and(cin,t5),not(t7)) )],[refute_0_200,refute_0_224]) ).
cnf(refute_0_226,plain,
or(t5,not(t7)) = t5,
inference(resolve,[$cnf( $equal(or(t5,and(cin,t5)),t5) )],[refute_0_223,refute_0_225]) ).
cnf(refute_0_227,plain,
( and(not(t7),or(t5,not(t7))) != not(t7)
| or(t5,not(t7)) != t5
| and(not(t7),t5) = not(t7) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t7),or(t5,not(t7))),not(t7)) ),[0,1],$fot(t5)]]) ).
cnf(refute_0_228,plain,
( and(not(t7),or(t5,not(t7))) != not(t7)
| and(not(t7),t5) = not(t7) ),
inference(resolve,[$cnf( $equal(or(t5,not(t7)),t5) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
and(not(t7),t5) = not(t7),
inference(resolve,[$cnf( $equal(and(not(t7),or(t5,not(t7))),not(t7)) )],[refute_0_215,refute_0_228]) ).
cnf(refute_0_230,plain,
and(not(t7),t5) = and(t5,not(t7)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t5)),bind(Y,$fot(not(t7)))]]) ).
cnf(refute_0_231,plain,
( and(not(t7),t5) != and(t5,not(t7))
| and(not(t7),t5) != not(t7)
| and(t5,not(t7)) = not(t7) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t7),t5),not(t7)) ),[0],$fot(and(t5,not(t7)))]]) ).
cnf(refute_0_232,plain,
( and(not(t7),t5) != not(t7)
| and(t5,not(t7)) = not(t7) ),
inference(resolve,[$cnf( $equal(and(not(t7),t5),and(t5,not(t7))) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
and(t5,not(t7)) = not(t7),
inference(resolve,[$cnf( $equal(and(not(t7),t5),not(t7)) )],[refute_0_229,refute_0_232]) ).
cnf(refute_0_234,plain,
( and(not(carry),not(t7)) != and(t1,and(t5,not(t7)))
| and(t5,not(t7)) != not(t7)
| and(not(carry),not(t7)) = and(t1,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),not(t7)),and(t1,and(t5,not(t7)))) ),[1,1],$fot(not(t7))]]) ).
cnf(refute_0_235,plain,
( and(not(carry),not(t7)) != and(t1,and(t5,not(t7)))
| and(not(carry),not(t7)) = and(t1,not(t7)) ),
inference(resolve,[$cnf( $equal(and(t5,not(t7)),not(t7)) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
and(not(carry),not(t7)) = and(t1,not(t7)),
inference(resolve,[$cnf( $equal(and(not(carry),not(t7)),and(t1,and(t5,not(t7)))) )],[refute_0_207,refute_0_235]) ).
cnf(refute_0_237,plain,
and(not(carry),not(t7)) = not(or(carry,t7)),
inference(subst,[],[refute_0_101:[bind(X,$fot(carry)),bind(Y,$fot(t7))]]) ).
cnf(refute_0_238,plain,
( and(not(carry),not(t7)) != and(t1,not(t7))
| and(not(carry),not(t7)) != not(or(carry,t7))
| not(or(carry,t7)) = and(t1,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),not(t7)),and(t1,not(t7))) ),[0],$fot(not(or(carry,t7)))]]) ).
cnf(refute_0_239,plain,
( and(not(carry),not(t7)) != and(t1,not(t7))
| not(or(carry,t7)) = and(t1,not(t7)) ),
inference(resolve,[$cnf( $equal(and(not(carry),not(t7)),not(or(carry,t7))) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
not(or(carry,t7)) = and(t1,not(t7)),
inference(resolve,[$cnf( $equal(and(not(carry),not(t7)),and(t1,not(t7))) )],[refute_0_236,refute_0_239]) ).
cnf(refute_0_241,plain,
( not(or(carry,t7)) != and(t1,not(t7))
| and(t1,not(t7)) = not(or(carry,t7)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(carry,t7)))),bind(Y0,$fot(and(t1,not(t7))))]]) ).
cnf(refute_0_242,plain,
and(t1,not(t7)) = not(or(carry,t7)),
inference(resolve,[$cnf( $equal(not(or(carry,t7)),and(t1,not(t7))) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
( and(cin,not(carry)) != and(t1,not(t7))
| and(t1,not(t7)) != not(or(carry,t7))
| and(cin,not(carry)) = not(or(carry,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(cin,not(carry)),not(or(carry,t7))) ),[0],$fot(and(t1,not(t7)))]]) ).
cnf(refute_0_244,plain,
( and(cin,not(carry)) != and(t1,not(t7))
| and(cin,not(carry)) = not(or(carry,t7)) ),
inference(resolve,[$cnf( $equal(and(t1,not(t7)),not(or(carry,t7))) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
( and(not(carry),cin) != and(t1,not(t7))
| and(cin,not(carry)) = not(or(carry,t7)) ),
inference(resolve,[$cnf( $equal(and(cin,not(carry)),and(t1,not(t7))) )],[refute_0_206,refute_0_244]) ).
cnf(refute_0_246,plain,
and(cin,not(carry)) = not(or(carry,t7)),
inference(resolve,[$cnf( $equal(and(not(carry),cin),and(t1,not(t7))) )],[refute_0_203,refute_0_245]) ).
cnf(refute_0_247,plain,
( and(cin,not(carry)) != not(or(carry,t7))
| or(not(cin),or(carry,and(cin,not(carry)))) != ll1
| or(not(cin),or(carry,not(or(carry,t7)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(not(cin),or(carry,and(cin,not(carry)))),ll1) ),[0,1,1],$fot(not(or(carry,t7)))]]) ).
cnf(refute_0_248,plain,
( or(not(cin),or(carry,and(cin,not(carry)))) != ll1
| or(not(cin),or(carry,not(or(carry,t7)))) = ll1 ),
inference(resolve,[$cnf( $equal(and(cin,not(carry)),not(or(carry,t7))) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
or(not(cin),or(carry,not(or(carry,t7)))) = ll1,
inference(resolve,[$cnf( $equal(or(not(cin),or(carry,and(cin,not(carry)))),ll1) )],[refute_0_168,refute_0_248]) ).
cnf(refute_0_250,plain,
or(not(cin),not(or(carry,t7))) = not(and(cin,or(carry,t7))),
inference(subst,[],[refute_0_147:[bind(X,$fot(cin)),bind(Y,$fot(or(carry,t7)))]]) ).
cnf(refute_0_251,plain,
or(carry,or(not(cin),not(or(carry,t7)))) = or(carry,or(not(cin),not(or(carry,t7)))),
introduced(tautology,[refl,[$fot(or(carry,or(not(cin),not(or(carry,t7)))))]]) ).
cnf(refute_0_252,plain,
( or(carry,or(not(cin),not(or(carry,t7)))) != or(carry,or(not(cin),not(or(carry,t7))))
| or(not(cin),not(or(carry,t7))) != not(and(cin,or(carry,t7)))
| or(carry,or(not(cin),not(or(carry,t7)))) = or(carry,not(and(cin,or(carry,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,or(not(cin),not(or(carry,t7)))),or(carry,or(not(cin),not(or(carry,t7))))) ),[1,1],$fot(not(and(cin,or(carry,t7))))]]) ).
cnf(refute_0_253,plain,
( or(not(cin),not(or(carry,t7))) != not(and(cin,or(carry,t7)))
| or(carry,or(not(cin),not(or(carry,t7)))) = or(carry,not(and(cin,or(carry,t7)))) ),
inference(resolve,[$cnf( $equal(or(carry,or(not(cin),not(or(carry,t7)))),or(carry,or(not(cin),not(or(carry,t7))))) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
or(carry,or(not(cin),not(or(carry,t7)))) = or(carry,not(and(cin,or(carry,t7)))),
inference(resolve,[$cnf( $equal(or(not(cin),not(or(carry,t7))),not(and(cin,or(carry,t7)))) )],[refute_0_250,refute_0_253]) ).
cnf(refute_0_255,plain,
or(or(X_37,X_38),X_39) = or(X_37,or(X_38,X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(X_37)),bind(Y,$fot(X_38)),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_256,plain,
or(X_38,X_37) = or(X_37,X_38),
inference(subst,[],[or_commutative:[bind(X,$fot(X_38)),bind(Y,$fot(X_37))]]) ).
cnf(refute_0_257,plain,
( or(X_38,X_37) != or(X_37,X_38)
| or(X_37,X_38) = or(X_38,X_37) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(X_38,X_37))),bind(Y0,$fot(or(X_37,X_38)))]]) ).
cnf(refute_0_258,plain,
or(X_37,X_38) = or(X_38,X_37),
inference(resolve,[$cnf( $equal(or(X_38,X_37),or(X_37,X_38)) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
( or(X_37,X_38) != or(X_38,X_37)
| or(or(X_37,X_38),X_39) != or(X_37,or(X_38,X_39))
| or(or(X_38,X_37),X_39) = or(X_37,or(X_38,X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(X_37,X_38),X_39),or(X_37,or(X_38,X_39))) ),[0,0],$fot(or(X_38,X_37))]]) ).
cnf(refute_0_260,plain,
( or(or(X_37,X_38),X_39) != or(X_37,or(X_38,X_39))
| or(or(X_38,X_37),X_39) = or(X_37,or(X_38,X_39)) ),
inference(resolve,[$cnf( $equal(or(X_37,X_38),or(X_38,X_37)) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
or(or(X_38,X_37),X_39) = or(X_37,or(X_38,X_39)),
inference(resolve,[$cnf( $equal(or(or(X_37,X_38),X_39),or(X_37,or(X_38,X_39))) )],[refute_0_255,refute_0_260]) ).
cnf(refute_0_262,plain,
or(or(X_38,X_37),X_39) = or(X_38,or(X_37,X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(X_38)),bind(Y,$fot(X_37)),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_263,plain,
( or(or(X_38,X_37),X_39) != or(X_37,or(X_38,X_39))
| or(or(X_38,X_37),X_39) != or(X_38,or(X_37,X_39))
| or(X_38,or(X_37,X_39)) = or(X_37,or(X_38,X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(X_38,X_37),X_39),or(X_37,or(X_38,X_39))) ),[0],$fot(or(X_38,or(X_37,X_39)))]]) ).
cnf(refute_0_264,plain,
( or(or(X_38,X_37),X_39) != or(X_37,or(X_38,X_39))
| or(X_38,or(X_37,X_39)) = or(X_37,or(X_38,X_39)) ),
inference(resolve,[$cnf( $equal(or(or(X_38,X_37),X_39),or(X_38,or(X_37,X_39))) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
or(X_38,or(X_37,X_39)) = or(X_37,or(X_38,X_39)),
inference(resolve,[$cnf( $equal(or(or(X_38,X_37),X_39),or(X_37,or(X_38,X_39))) )],[refute_0_261,refute_0_264]) ).
cnf(refute_0_266,plain,
( or(X_38,or(X_37,X_39)) != or(X_37,or(X_38,X_39))
| or(X_37,or(X_38,X_39)) = or(X_38,or(X_37,X_39)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(X_38,or(X_37,X_39)))),bind(Y0,$fot(or(X_37,or(X_38,X_39))))]]) ).
cnf(refute_0_267,plain,
or(X_37,or(X_38,X_39)) = or(X_38,or(X_37,X_39)),
inference(resolve,[$cnf( $equal(or(X_38,or(X_37,X_39)),or(X_37,or(X_38,X_39))) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
or(not(cin),or(carry,not(or(carry,t7)))) = or(carry,or(not(cin),not(or(carry,t7)))),
inference(subst,[],[refute_0_267:[bind(X_37,$fot(not(cin))),bind(X_38,$fot(carry)),bind(X_39,$fot(not(or(carry,t7))))]]) ).
cnf(refute_0_269,plain,
( or(carry,or(not(cin),not(or(carry,t7)))) != or(carry,not(and(cin,or(carry,t7))))
| or(not(cin),or(carry,not(or(carry,t7)))) != or(carry,or(not(cin),not(or(carry,t7))))
| or(not(cin),or(carry,not(or(carry,t7)))) = or(carry,not(and(cin,or(carry,t7)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(cin),or(carry,not(or(carry,t7)))))),bind(Y0,$fot(or(carry,or(not(cin),not(or(carry,t7)))))),bind(Z0,$fot(or(carry,not(and(cin,or(carry,t7))))))]]) ).
cnf(refute_0_270,plain,
( or(carry,or(not(cin),not(or(carry,t7)))) != or(carry,not(and(cin,or(carry,t7))))
| or(not(cin),or(carry,not(or(carry,t7)))) = or(carry,not(and(cin,or(carry,t7)))) ),
inference(resolve,[$cnf( $equal(or(not(cin),or(carry,not(or(carry,t7)))),or(carry,or(not(cin),not(or(carry,t7))))) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
or(not(cin),or(carry,not(or(carry,t7)))) = or(carry,not(and(cin,or(carry,t7)))),
inference(resolve,[$cnf( $equal(or(carry,or(not(cin),not(or(carry,t7)))),or(carry,not(and(cin,or(carry,t7))))) )],[refute_0_254,refute_0_270]) ).
cnf(refute_0_272,plain,
( or(not(cin),or(carry,not(or(carry,t7)))) != ll1
| or(not(cin),or(carry,not(or(carry,t7)))) != or(carry,not(and(cin,or(carry,t7))))
| or(carry,not(and(cin,or(carry,t7)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(not(cin),or(carry,not(or(carry,t7)))),ll1) ),[0],$fot(or(carry,not(and(cin,or(carry,t7)))))]]) ).
cnf(refute_0_273,plain,
( or(not(cin),or(carry,not(or(carry,t7)))) != ll1
| or(carry,not(and(cin,or(carry,t7)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(not(cin),or(carry,not(or(carry,t7)))),or(carry,not(and(cin,or(carry,t7))))) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
or(carry,not(and(cin,or(carry,t7)))) = ll1,
inference(resolve,[$cnf( $equal(or(not(cin),or(carry,not(or(carry,t7)))),ll1) )],[refute_0_249,refute_0_273]) ).
cnf(refute_0_275,plain,
not(and(not(t7),t1)) = not(and(t1,not(t7))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(t1)),bind(X_32,$fot(not(t7)))]]) ).
cnf(refute_0_276,plain,
and(and(t2,not(a)),X_222) = and(t2,and(not(a),X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(t2)),bind(Y,$fot(not(a))),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_277,plain,
not(or(a,not(t2))) = not(or(not(t2),a)),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(not(t2))),bind(X_26,$fot(a))]]) ).
cnf(refute_0_278,plain,
or(a,and(a,t1)) = a,
inference(subst,[],[or_absorption:[bind(X,$fot(a)),bind(Y,$fot(t1))]]) ).
cnf(refute_0_279,plain,
not(not(and(a,t1))) = and(a,t1),
inference(subst,[],[not_involution:[bind(X,$fot(and(a,t1)))]]) ).
cnf(refute_0_280,plain,
( not(and(a,t1)) != t2
| not(not(and(a,t1))) != and(a,t1)
| not(t2) = and(a,t1) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(a,t1))),and(a,t1)) ),[0,0],$fot(t2)]]) ).
cnf(refute_0_281,plain,
( not(not(and(a,t1))) != and(a,t1)
| not(t2) = and(a,t1) ),
inference(resolve,[$cnf( $equal(not(and(a,t1)),t2) )],[t2,refute_0_280]) ).
cnf(refute_0_282,plain,
not(t2) = and(a,t1),
inference(resolve,[$cnf( $equal(not(not(and(a,t1))),and(a,t1)) )],[refute_0_279,refute_0_281]) ).
cnf(refute_0_283,plain,
( not(t2) != and(a,t1)
| and(a,t1) = not(t2) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t2))),bind(Y0,$fot(and(a,t1)))]]) ).
cnf(refute_0_284,plain,
and(a,t1) = not(t2),
inference(resolve,[$cnf( $equal(not(t2),and(a,t1)) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
( and(a,t1) != not(t2)
| or(a,and(a,t1)) != a
| or(a,not(t2)) = a ),
introduced(tautology,[equality,[$cnf( $equal(or(a,and(a,t1)),a) ),[0,1],$fot(not(t2))]]) ).
cnf(refute_0_286,plain,
( or(a,and(a,t1)) != a
| or(a,not(t2)) = a ),
inference(resolve,[$cnf( $equal(and(a,t1),not(t2)) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
or(a,not(t2)) = a,
inference(resolve,[$cnf( $equal(or(a,and(a,t1)),a) )],[refute_0_278,refute_0_286]) ).
cnf(refute_0_288,plain,
( not(or(a,not(t2))) != not(or(not(t2),a))
| or(a,not(t2)) != a
| not(a) = not(or(not(t2),a)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(a,not(t2))),not(or(not(t2),a))) ),[0,0],$fot(a)]]) ).
cnf(refute_0_289,plain,
( not(or(a,not(t2))) != not(or(not(t2),a))
| not(a) = not(or(not(t2),a)) ),
inference(resolve,[$cnf( $equal(or(a,not(t2)),a) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
not(a) = not(or(not(t2),a)),
inference(resolve,[$cnf( $equal(not(or(a,not(t2))),not(or(not(t2),a))) )],[refute_0_277,refute_0_289]) ).
cnf(refute_0_291,plain,
not(or(not(t2),a)) = and(t2,not(a)),
inference(subst,[],[refute_0_159:[bind(X,$fot(t2)),bind(X_26,$fot(a))]]) ).
cnf(refute_0_292,plain,
( not(a) != not(or(not(t2),a))
| not(or(not(t2),a)) != and(t2,not(a))
| not(a) = and(t2,not(a)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(a),and(t2,not(a))) ),[0],$fot(not(or(not(t2),a)))]]) ).
cnf(refute_0_293,plain,
( not(a) != not(or(not(t2),a))
| not(a) = and(t2,not(a)) ),
inference(resolve,[$cnf( $equal(not(or(not(t2),a)),and(t2,not(a))) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
not(a) = and(t2,not(a)),
inference(resolve,[$cnf( $equal(not(a),not(or(not(t2),a))) )],[refute_0_290,refute_0_293]) ).
cnf(refute_0_295,plain,
( not(a) != and(t2,not(a))
| and(t2,not(a)) = not(a) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(a))),bind(Y0,$fot(and(t2,not(a))))]]) ).
cnf(refute_0_296,plain,
and(t2,not(a)) = not(a),
inference(resolve,[$cnf( $equal(not(a),and(t2,not(a))) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
( and(and(t2,not(a)),X_222) != and(t2,and(not(a),X_222))
| and(t2,not(a)) != not(a)
| and(not(a),X_222) = and(t2,and(not(a),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t2,not(a)),X_222),and(t2,and(not(a),X_222))) ),[0,0],$fot(not(a))]]) ).
cnf(refute_0_298,plain,
( and(and(t2,not(a)),X_222) != and(t2,and(not(a),X_222))
| and(not(a),X_222) = and(t2,and(not(a),X_222)) ),
inference(resolve,[$cnf( $equal(and(t2,not(a)),not(a)) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
and(not(a),X_222) = and(t2,and(not(a),X_222)),
inference(resolve,[$cnf( $equal(and(and(t2,not(a)),X_222),and(t2,and(not(a),X_222))) )],[refute_0_276,refute_0_298]) ).
cnf(refute_0_300,plain,
and(not(a),X_501) = and(t2,and(not(a),X_501)),
inference(subst,[],[refute_0_299:[bind(X_222,$fot(X_501))]]) ).
cnf(refute_0_301,plain,
and(X_501,not(a)) = and(not(a),X_501),
inference(subst,[],[and_commutative:[bind(X,$fot(X_501)),bind(Y,$fot(not(a)))]]) ).
cnf(refute_0_302,plain,
( and(X_501,not(a)) != and(not(a),X_501)
| and(not(a),X_501) = and(X_501,not(a)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X_501,not(a)))),bind(Y0,$fot(and(not(a),X_501)))]]) ).
cnf(refute_0_303,plain,
and(not(a),X_501) = and(X_501,not(a)),
inference(resolve,[$cnf( $equal(and(X_501,not(a)),and(not(a),X_501)) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
( and(not(a),X_501) != and(X_501,not(a))
| and(not(a),X_501) != and(t2,and(not(a),X_501))
| and(not(a),X_501) = and(t2,and(X_501,not(a))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(a),X_501),and(t2,and(not(a),X_501))) ),[1,1],$fot(and(X_501,not(a)))]]) ).
cnf(refute_0_305,plain,
( and(not(a),X_501) != and(t2,and(not(a),X_501))
| and(not(a),X_501) = and(t2,and(X_501,not(a))) ),
inference(resolve,[$cnf( $equal(and(not(a),X_501),and(X_501,not(a))) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
and(not(a),X_501) = and(t2,and(X_501,not(a))),
inference(resolve,[$cnf( $equal(and(not(a),X_501),and(t2,and(not(a),X_501))) )],[refute_0_300,refute_0_305]) ).
cnf(refute_0_307,plain,
and(not(a),xor(t2,t7)) = and(t2,and(xor(t2,t7),not(a))),
inference(subst,[],[refute_0_306:[bind(X_501,$fot(xor(t2,t7)))]]) ).
cnf(refute_0_308,plain,
and(and(t1,t2),Z) = and(t1,and(t2,Z)),
inference(subst,[],[and_associative:[bind(X,$fot(t1)),bind(Y,$fot(t2))]]) ).
cnf(refute_0_309,plain,
xor(a,xor(t1,X_335)) = xor(xor(a,t1),X_335),
inference(subst,[],[xor_associative:[bind(X,$fot(a)),bind(Y,$fot(t1)),bind(Z,$fot(X_335))]]) ).
cnf(refute_0_310,plain,
or(and(a,not(t1)),and(not(a),t1)) = xor(a,t1),
inference(subst,[],[refute_0_9:[bind(X,$fot(a)),bind(Y,$fot(t1))]]) ).
cnf(refute_0_311,plain,
and(not(t1),or(a,not(t1))) = not(t1),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(not(t1))),bind(X_20,$fot(a))]]) ).
cnf(refute_0_312,plain,
or(a,and(a,b)) = a,
inference(subst,[],[or_absorption:[bind(X,$fot(a)),bind(Y,$fot(b))]]) ).
cnf(refute_0_313,plain,
not(not(and(a,b))) = and(a,b),
inference(subst,[],[not_involution:[bind(X,$fot(and(a,b)))]]) ).
cnf(refute_0_314,plain,
( not(and(a,b)) != t1
| not(not(and(a,b))) != and(a,b)
| not(t1) = and(a,b) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(a,b))),and(a,b)) ),[0,0],$fot(t1)]]) ).
cnf(refute_0_315,plain,
( not(not(and(a,b))) != and(a,b)
| not(t1) = and(a,b) ),
inference(resolve,[$cnf( $equal(not(and(a,b)),t1) )],[t1,refute_0_314]) ).
cnf(refute_0_316,plain,
not(t1) = and(a,b),
inference(resolve,[$cnf( $equal(not(not(and(a,b))),and(a,b)) )],[refute_0_313,refute_0_315]) ).
cnf(refute_0_317,plain,
( not(t1) != and(a,b)
| and(a,b) = not(t1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t1))),bind(Y0,$fot(and(a,b)))]]) ).
cnf(refute_0_318,plain,
and(a,b) = not(t1),
inference(resolve,[$cnf( $equal(not(t1),and(a,b)) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
( and(a,b) != not(t1)
| or(a,and(a,b)) != a
| or(a,not(t1)) = a ),
introduced(tautology,[equality,[$cnf( $equal(or(a,and(a,b)),a) ),[0,1],$fot(not(t1))]]) ).
cnf(refute_0_320,plain,
( or(a,and(a,b)) != a
| or(a,not(t1)) = a ),
inference(resolve,[$cnf( $equal(and(a,b),not(t1)) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
or(a,not(t1)) = a,
inference(resolve,[$cnf( $equal(or(a,and(a,b)),a) )],[refute_0_312,refute_0_320]) ).
cnf(refute_0_322,plain,
( and(not(t1),or(a,not(t1))) != not(t1)
| or(a,not(t1)) != a
| and(not(t1),a) = not(t1) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t1),or(a,not(t1))),not(t1)) ),[0,1],$fot(a)]]) ).
cnf(refute_0_323,plain,
( and(not(t1),or(a,not(t1))) != not(t1)
| and(not(t1),a) = not(t1) ),
inference(resolve,[$cnf( $equal(or(a,not(t1)),a) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
and(not(t1),a) = not(t1),
inference(resolve,[$cnf( $equal(and(not(t1),or(a,not(t1))),not(t1)) )],[refute_0_311,refute_0_323]) ).
cnf(refute_0_325,plain,
and(not(t1),a) = and(a,not(t1)),
inference(subst,[],[refute_0_116:[bind(X,$fot(a)),bind(Y,$fot(not(t1)))]]) ).
cnf(refute_0_326,plain,
( and(not(t1),a) != and(a,not(t1))
| and(not(t1),a) != not(t1)
| and(a,not(t1)) = not(t1) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t1),a),not(t1)) ),[0],$fot(and(a,not(t1)))]]) ).
cnf(refute_0_327,plain,
( and(not(t1),a) != not(t1)
| and(a,not(t1)) = not(t1) ),
inference(resolve,[$cnf( $equal(and(not(t1),a),and(a,not(t1))) )],[refute_0_325,refute_0_326]) ).
cnf(refute_0_328,plain,
and(a,not(t1)) = not(t1),
inference(resolve,[$cnf( $equal(and(not(t1),a),not(t1)) )],[refute_0_324,refute_0_327]) ).
cnf(refute_0_329,plain,
( and(a,not(t1)) != not(t1)
| or(and(a,not(t1)),and(not(a),t1)) != xor(a,t1)
| or(not(t1),and(not(a),t1)) = xor(a,t1) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(a,not(t1)),and(not(a),t1)),xor(a,t1)) ),[0,0],$fot(not(t1))]]) ).
cnf(refute_0_330,plain,
( or(and(a,not(t1)),and(not(a),t1)) != xor(a,t1)
| or(not(t1),and(not(a),t1)) = xor(a,t1) ),
inference(resolve,[$cnf( $equal(and(a,not(t1)),not(t1)) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
or(not(t1),and(not(a),t1)) = xor(a,t1),
inference(resolve,[$cnf( $equal(or(and(a,not(t1)),and(not(a),t1)),xor(a,t1)) )],[refute_0_310,refute_0_330]) ).
cnf(refute_0_332,plain,
( not(and(X_32,X_31)) != not(and(X_31,X_32))
| not(and(X_31,X_32)) = not(and(X_32,X_31)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(X_32,X_31)))),bind(Y0,$fot(not(and(X_31,X_32))))]]) ).
cnf(refute_0_333,plain,
not(and(X_31,X_32)) = not(and(X_32,X_31)),
inference(resolve,[$cnf( $equal(not(and(X_32,X_31)),not(and(X_31,X_32))) )],[refute_0_151,refute_0_332]) ).
cnf(refute_0_334,plain,
not(and(t1,a)) = not(and(a,t1)),
inference(subst,[],[refute_0_333:[bind(X_31,$fot(t1)),bind(X_32,$fot(a))]]) ).
cnf(refute_0_335,plain,
( not(and(a,t1)) != t2
| not(and(t1,a)) != not(and(a,t1))
| not(and(t1,a)) = t2 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(t1,a)))),bind(Y0,$fot(not(and(a,t1)))),bind(Z0,$fot(t2))]]) ).
cnf(refute_0_336,plain,
( not(and(a,t1)) != t2
| not(and(t1,a)) = t2 ),
inference(resolve,[$cnf( $equal(not(and(t1,a)),not(and(a,t1))) )],[refute_0_334,refute_0_335]) ).
cnf(refute_0_337,plain,
not(and(t1,a)) = t2,
inference(resolve,[$cnf( $equal(not(and(a,t1)),t2) )],[t2,refute_0_336]) ).
cnf(refute_0_338,plain,
or(not(t1),not(a)) = not(and(t1,a)),
inference(subst,[],[refute_0_147:[bind(X,$fot(t1)),bind(Y,$fot(a))]]) ).
cnf(refute_0_339,plain,
( not(and(t1,a)) != t2
| or(not(t1),not(a)) != not(and(t1,a))
| or(not(t1),not(a)) = t2 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t1),not(a)))),bind(Y0,$fot(not(and(t1,a)))),bind(Z0,$fot(t2))]]) ).
cnf(refute_0_340,plain,
( not(and(t1,a)) != t2
| or(not(t1),not(a)) = t2 ),
inference(resolve,[$cnf( $equal(or(not(t1),not(a)),not(and(t1,a))) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
or(not(t1),not(a)) = t2,
inference(resolve,[$cnf( $equal(not(and(t1,a)),t2) )],[refute_0_337,refute_0_340]) ).
cnf(refute_0_342,plain,
not(or(a,not(t1))) = not(or(not(t1),a)),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(not(t1))),bind(X_26,$fot(a))]]) ).
cnf(refute_0_343,plain,
( not(or(a,not(t1))) != not(or(not(t1),a))
| or(a,not(t1)) != a
| not(a) = not(or(not(t1),a)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(a,not(t1))),not(or(not(t1),a))) ),[0,0],$fot(a)]]) ).
cnf(refute_0_344,plain,
( not(or(a,not(t1))) != not(or(not(t1),a))
| not(a) = not(or(not(t1),a)) ),
inference(resolve,[$cnf( $equal(or(a,not(t1)),a) )],[refute_0_321,refute_0_343]) ).
cnf(refute_0_345,plain,
not(a) = not(or(not(t1),a)),
inference(resolve,[$cnf( $equal(not(or(a,not(t1))),not(or(not(t1),a))) )],[refute_0_342,refute_0_344]) ).
cnf(refute_0_346,plain,
not(or(not(t1),a)) = and(t1,not(a)),
inference(subst,[],[refute_0_159:[bind(X,$fot(t1)),bind(X_26,$fot(a))]]) ).
cnf(refute_0_347,plain,
( not(a) != not(or(not(t1),a))
| not(or(not(t1),a)) != and(t1,not(a))
| not(a) = and(t1,not(a)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(a),and(t1,not(a))) ),[0],$fot(not(or(not(t1),a)))]]) ).
cnf(refute_0_348,plain,
( not(a) != not(or(not(t1),a))
| not(a) = and(t1,not(a)) ),
inference(resolve,[$cnf( $equal(not(or(not(t1),a)),and(t1,not(a))) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
not(a) = and(t1,not(a)),
inference(resolve,[$cnf( $equal(not(a),not(or(not(t1),a))) )],[refute_0_345,refute_0_348]) ).
cnf(refute_0_350,plain,
( not(a) != and(t1,not(a))
| and(t1,not(a)) = not(a) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(a))),bind(Y0,$fot(and(t1,not(a))))]]) ).
cnf(refute_0_351,plain,
and(t1,not(a)) = not(a),
inference(resolve,[$cnf( $equal(not(a),and(t1,not(a))) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
and(not(a),t1) = and(t1,not(a)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t1)),bind(Y,$fot(not(a)))]]) ).
cnf(refute_0_353,plain,
( and(not(a),t1) != and(t1,not(a))
| and(t1,not(a)) != not(a)
| and(not(a),t1) = not(a) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(a),t1))),bind(Y0,$fot(and(t1,not(a)))),bind(Z0,$fot(not(a)))]]) ).
cnf(refute_0_354,plain,
( and(t1,not(a)) != not(a)
| and(not(a),t1) = not(a) ),
inference(resolve,[$cnf( $equal(and(not(a),t1),and(t1,not(a))) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
and(not(a),t1) = not(a),
inference(resolve,[$cnf( $equal(and(t1,not(a)),not(a)) )],[refute_0_351,refute_0_354]) ).
cnf(refute_0_356,plain,
or(not(t1),and(not(a),t1)) = or(not(t1),and(not(a),t1)),
introduced(tautology,[refl,[$fot(or(not(t1),and(not(a),t1)))]]) ).
cnf(refute_0_357,plain,
( and(not(a),t1) != not(a)
| or(not(t1),and(not(a),t1)) != or(not(t1),and(not(a),t1))
| or(not(t1),and(not(a),t1)) = or(not(t1),not(a)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t1),and(not(a),t1)),or(not(t1),and(not(a),t1))) ),[1,1],$fot(not(a))]]) ).
cnf(refute_0_358,plain,
( and(not(a),t1) != not(a)
| or(not(t1),and(not(a),t1)) = or(not(t1),not(a)) ),
inference(resolve,[$cnf( $equal(or(not(t1),and(not(a),t1)),or(not(t1),and(not(a),t1))) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
or(not(t1),and(not(a),t1)) = or(not(t1),not(a)),
inference(resolve,[$cnf( $equal(and(not(a),t1),not(a)) )],[refute_0_355,refute_0_358]) ).
cnf(refute_0_360,plain,
( or(not(t1),and(not(a),t1)) != or(not(t1),not(a))
| or(not(t1),not(a)) != t2
| or(not(t1),and(not(a),t1)) = t2 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t1),and(not(a),t1)))),bind(Y0,$fot(or(not(t1),not(a)))),bind(Z0,$fot(t2))]]) ).
cnf(refute_0_361,plain,
( or(not(t1),not(a)) != t2
| or(not(t1),and(not(a),t1)) = t2 ),
inference(resolve,[$cnf( $equal(or(not(t1),and(not(a),t1)),or(not(t1),not(a))) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
or(not(t1),and(not(a),t1)) = t2,
inference(resolve,[$cnf( $equal(or(not(t1),not(a)),t2) )],[refute_0_341,refute_0_361]) ).
cnf(refute_0_363,plain,
( or(not(t1),and(not(a),t1)) != t2
| or(not(t1),and(not(a),t1)) != xor(a,t1)
| t2 = xor(a,t1) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t1),and(not(a),t1)),xor(a,t1)) ),[0],$fot(t2)]]) ).
cnf(refute_0_364,plain,
( or(not(t1),and(not(a),t1)) != xor(a,t1)
| t2 = xor(a,t1) ),
inference(resolve,[$cnf( $equal(or(not(t1),and(not(a),t1)),t2) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
t2 = xor(a,t1),
inference(resolve,[$cnf( $equal(or(not(t1),and(not(a),t1)),xor(a,t1)) )],[refute_0_331,refute_0_364]) ).
cnf(refute_0_366,plain,
( t2 != xor(a,t1)
| xor(a,t1) = t2 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(t2)),bind(Y0,$fot(xor(a,t1)))]]) ).
cnf(refute_0_367,plain,
xor(a,t1) = t2,
inference(resolve,[$cnf( $equal(t2,xor(a,t1)) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
( xor(a,t1) != t2
| xor(a,xor(t1,X_335)) != xor(xor(a,t1),X_335)
| xor(a,xor(t1,X_335)) = xor(t2,X_335) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t1,X_335)),xor(xor(a,t1),X_335)) ),[1,0],$fot(t2)]]) ).
cnf(refute_0_369,plain,
( xor(a,xor(t1,X_335)) != xor(xor(a,t1),X_335)
| xor(a,xor(t1,X_335)) = xor(t2,X_335) ),
inference(resolve,[$cnf( $equal(xor(a,t1),t2) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
xor(a,xor(t1,X_335)) = xor(t2,X_335),
inference(resolve,[$cnf( $equal(xor(a,xor(t1,X_335)),xor(xor(a,t1),X_335)) )],[refute_0_309,refute_0_369]) ).
cnf(refute_0_371,plain,
xor(a,xor(t1,xor(t2,and(t1,t2)))) = xor(t2,xor(t2,and(t1,t2))),
inference(subst,[],[refute_0_370:[bind(X_335,$fot(xor(t2,and(t1,t2))))]]) ).
cnf(refute_0_372,plain,
or(and(not(X_64),not(X_64)),and(not(not(X_64)),X_64)) = xor(not(X_64),X_64),
inference(subst,[],[refute_0_9:[bind(X,$fot(not(X_64))),bind(Y,$fot(X_64))]]) ).
cnf(refute_0_373,plain,
and(not(X_64),not(X_64)) = not(X_64),
inference(subst,[],[and_idempotent:[bind(X,$fot(not(X_64)))]]) ).
cnf(refute_0_374,plain,
( and(not(X_64),not(X_64)) != not(X_64)
| or(and(not(X_64),not(X_64)),and(not(not(X_64)),X_64)) != xor(not(X_64),X_64)
| or(not(X_64),and(not(not(X_64)),X_64)) = xor(not(X_64),X_64) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(not(X_64),not(X_64)),and(not(not(X_64)),X_64)),xor(not(X_64),X_64)) ),[0,0],$fot(not(X_64))]]) ).
cnf(refute_0_375,plain,
( or(and(not(X_64),not(X_64)),and(not(not(X_64)),X_64)) != xor(not(X_64),X_64)
| or(not(X_64),and(not(not(X_64)),X_64)) = xor(not(X_64),X_64) ),
inference(resolve,[$cnf( $equal(and(not(X_64),not(X_64)),not(X_64)) )],[refute_0_373,refute_0_374]) ).
cnf(refute_0_376,plain,
or(not(X_64),and(not(not(X_64)),X_64)) = xor(not(X_64),X_64),
inference(resolve,[$cnf( $equal(or(and(not(X_64),not(X_64)),and(not(not(X_64)),X_64)),xor(not(X_64),X_64)) )],[refute_0_372,refute_0_375]) ).
cnf(refute_0_377,plain,
or(X_64,not(X_64)) = ll1,
inference(subst,[],[or_complement:[bind(X,$fot(X_64))]]) ).
cnf(refute_0_378,plain,
or(not(X_64),X_64) = or(X_64,not(X_64)),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_64)),bind(Y,$fot(not(X_64)))]]) ).
cnf(refute_0_379,plain,
( or(X_64,not(X_64)) != ll1
| or(not(X_64),X_64) != or(X_64,not(X_64))
| or(not(X_64),X_64) = ll1 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(X_64),X_64))),bind(Y0,$fot(or(X_64,not(X_64)))),bind(Z0,$fot(ll1))]]) ).
cnf(refute_0_380,plain,
( or(X_64,not(X_64)) != ll1
| or(not(X_64),X_64) = ll1 ),
inference(resolve,[$cnf( $equal(or(not(X_64),X_64),or(X_64,not(X_64))) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
or(not(X_64),X_64) = ll1,
inference(resolve,[$cnf( $equal(or(X_64,not(X_64)),ll1) )],[refute_0_377,refute_0_380]) ).
cnf(refute_0_382,plain,
and(X_64,X_64) = X_64,
inference(subst,[],[and_idempotent:[bind(X,$fot(X_64))]]) ).
cnf(refute_0_383,plain,
not(not(X_64)) = X_64,
inference(subst,[],[not_involution:[bind(X,$fot(X_64))]]) ).
cnf(refute_0_384,plain,
and(X_64,not(not(X_64))) = and(X_64,not(not(X_64))),
introduced(tautology,[refl,[$fot(and(X_64,not(not(X_64))))]]) ).
cnf(refute_0_385,plain,
( and(X_64,not(not(X_64))) != and(X_64,not(not(X_64)))
| not(not(X_64)) != X_64
| and(X_64,not(not(X_64))) = and(X_64,X_64) ),
introduced(tautology,[equality,[$cnf( $equal(and(X_64,not(not(X_64))),and(X_64,not(not(X_64)))) ),[1,1],$fot(X_64)]]) ).
cnf(refute_0_386,plain,
( not(not(X_64)) != X_64
| and(X_64,not(not(X_64))) = and(X_64,X_64) ),
inference(resolve,[$cnf( $equal(and(X_64,not(not(X_64))),and(X_64,not(not(X_64)))) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
and(X_64,not(not(X_64))) = and(X_64,X_64),
inference(resolve,[$cnf( $equal(not(not(X_64)),X_64) )],[refute_0_383,refute_0_386]) ).
cnf(refute_0_388,plain,
( and(X_64,X_64) != X_64
| and(X_64,not(not(X_64))) != and(X_64,X_64)
| and(X_64,not(not(X_64))) = X_64 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(X_64,not(not(X_64))))),bind(Y0,$fot(and(X_64,X_64))),bind(Z0,$fot(X_64))]]) ).
cnf(refute_0_389,plain,
( and(X_64,X_64) != X_64
| and(X_64,not(not(X_64))) = X_64 ),
inference(resolve,[$cnf( $equal(and(X_64,not(not(X_64))),and(X_64,X_64)) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
and(X_64,not(not(X_64))) = X_64,
inference(resolve,[$cnf( $equal(and(X_64,X_64),X_64) )],[refute_0_382,refute_0_389]) ).
cnf(refute_0_391,plain,
and(not(not(X_64)),X_64) = and(X_64,not(not(X_64))),
inference(subst,[],[refute_0_116:[bind(X,$fot(X_64)),bind(Y,$fot(not(not(X_64))))]]) ).
cnf(refute_0_392,plain,
( and(X_64,not(not(X_64))) != X_64
| and(not(not(X_64)),X_64) != and(X_64,not(not(X_64)))
| and(not(not(X_64)),X_64) = X_64 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(not(X_64)),X_64))),bind(Y0,$fot(and(X_64,not(not(X_64))))),bind(Z0,$fot(X_64))]]) ).
cnf(refute_0_393,plain,
( and(X_64,not(not(X_64))) != X_64
| and(not(not(X_64)),X_64) = X_64 ),
inference(resolve,[$cnf( $equal(and(not(not(X_64)),X_64),and(X_64,not(not(X_64)))) )],[refute_0_391,refute_0_392]) ).
cnf(refute_0_394,plain,
and(not(not(X_64)),X_64) = X_64,
inference(resolve,[$cnf( $equal(and(X_64,not(not(X_64))),X_64) )],[refute_0_390,refute_0_393]) ).
cnf(refute_0_395,plain,
or(not(X_64),and(not(not(X_64)),X_64)) = or(not(X_64),and(not(not(X_64)),X_64)),
introduced(tautology,[refl,[$fot(or(not(X_64),and(not(not(X_64)),X_64)))]]) ).
cnf(refute_0_396,plain,
( and(not(not(X_64)),X_64) != X_64
| or(not(X_64),and(not(not(X_64)),X_64)) != or(not(X_64),and(not(not(X_64)),X_64))
| or(not(X_64),and(not(not(X_64)),X_64)) = or(not(X_64),X_64) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(X_64),and(not(not(X_64)),X_64)),or(not(X_64),and(not(not(X_64)),X_64))) ),[1,1],$fot(X_64)]]) ).
cnf(refute_0_397,plain,
( and(not(not(X_64)),X_64) != X_64
| or(not(X_64),and(not(not(X_64)),X_64)) = or(not(X_64),X_64) ),
inference(resolve,[$cnf( $equal(or(not(X_64),and(not(not(X_64)),X_64)),or(not(X_64),and(not(not(X_64)),X_64))) )],[refute_0_395,refute_0_396]) ).
cnf(refute_0_398,plain,
or(not(X_64),and(not(not(X_64)),X_64)) = or(not(X_64),X_64),
inference(resolve,[$cnf( $equal(and(not(not(X_64)),X_64),X_64) )],[refute_0_394,refute_0_397]) ).
cnf(refute_0_399,plain,
( or(not(X_64),X_64) != ll1
| or(not(X_64),and(not(not(X_64)),X_64)) != or(not(X_64),X_64)
| or(not(X_64),and(not(not(X_64)),X_64)) = ll1 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(X_64),and(not(not(X_64)),X_64)))),bind(Y0,$fot(or(not(X_64),X_64))),bind(Z0,$fot(ll1))]]) ).
cnf(refute_0_400,plain,
( or(not(X_64),X_64) != ll1
| or(not(X_64),and(not(not(X_64)),X_64)) = ll1 ),
inference(resolve,[$cnf( $equal(or(not(X_64),and(not(not(X_64)),X_64)),or(not(X_64),X_64)) )],[refute_0_398,refute_0_399]) ).
cnf(refute_0_401,plain,
or(not(X_64),and(not(not(X_64)),X_64)) = ll1,
inference(resolve,[$cnf( $equal(or(not(X_64),X_64),ll1) )],[refute_0_381,refute_0_400]) ).
cnf(refute_0_402,plain,
( or(not(X_64),and(not(not(X_64)),X_64)) != ll1
| or(not(X_64),and(not(not(X_64)),X_64)) != xor(not(X_64),X_64)
| ll1 = xor(not(X_64),X_64) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(X_64),and(not(not(X_64)),X_64)),xor(not(X_64),X_64)) ),[0],$fot(ll1)]]) ).
cnf(refute_0_403,plain,
( or(not(X_64),and(not(not(X_64)),X_64)) != xor(not(X_64),X_64)
| ll1 = xor(not(X_64),X_64) ),
inference(resolve,[$cnf( $equal(or(not(X_64),and(not(not(X_64)),X_64)),ll1) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
or(and(X_63,not(not(Y))),and(not(X_63),not(Y))) = xor(X_63,not(Y)),
inference(subst,[],[refute_0_9:[bind(X,$fot(X_63)),bind(Y,$fot(not(Y)))]]) ).
cnf(refute_0_405,plain,
not(or(X_63,Y)) = and(not(X_63),not(Y)),
inference(subst,[],[or_demorgan:[bind(X,$fot(X_63))]]) ).
cnf(refute_0_406,plain,
( not(or(X_63,Y)) != and(not(X_63),not(Y))
| and(not(X_63),not(Y)) = not(or(X_63,Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X_63,Y)))),bind(Y0,$fot(and(not(X_63),not(Y))))]]) ).
cnf(refute_0_407,plain,
and(not(X_63),not(Y)) = not(or(X_63,Y)),
inference(resolve,[$cnf( $equal(not(or(X_63,Y)),and(not(X_63),not(Y))) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
( and(not(X_63),not(Y)) != not(or(X_63,Y))
| or(and(X_63,not(not(Y))),and(not(X_63),not(Y))) != xor(X_63,not(Y))
| or(and(X_63,not(not(Y))),not(or(X_63,Y))) = xor(X_63,not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X_63,not(not(Y))),and(not(X_63),not(Y))),xor(X_63,not(Y))) ),[0,1],$fot(not(or(X_63,Y)))]]) ).
cnf(refute_0_409,plain,
( or(and(X_63,not(not(Y))),and(not(X_63),not(Y))) != xor(X_63,not(Y))
| or(and(X_63,not(not(Y))),not(or(X_63,Y))) = xor(X_63,not(Y)) ),
inference(resolve,[$cnf( $equal(and(not(X_63),not(Y)),not(or(X_63,Y))) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
or(and(X_63,not(not(Y))),not(or(X_63,Y))) = xor(X_63,not(Y)),
inference(resolve,[$cnf( $equal(or(and(X_63,not(not(Y))),and(not(X_63),not(Y))),xor(X_63,not(Y))) )],[refute_0_404,refute_0_409]) ).
cnf(refute_0_411,plain,
or(and(not(X),not(X_64)),and(not(not(X)),X_64)) = xor(not(X),X_64),
inference(subst,[],[refute_0_9:[bind(X,$fot(not(X))),bind(Y,$fot(X_64))]]) ).
cnf(refute_0_412,plain,
( not(not(X)) != X
| or(and(not(X),not(X_64)),and(not(not(X)),X_64)) != xor(not(X),X_64)
| or(and(not(X),not(X_64)),and(X,X_64)) = xor(not(X),X_64) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(not(X),not(X_64)),and(not(not(X)),X_64)),xor(not(X),X_64)) ),[0,1,0],$fot(X)]]) ).
cnf(refute_0_413,plain,
( or(and(not(X),not(X_64)),and(not(not(X)),X_64)) != xor(not(X),X_64)
| or(and(not(X),not(X_64)),and(X,X_64)) = xor(not(X),X_64) ),
inference(resolve,[$cnf( $equal(not(not(X)),X) )],[not_involution,refute_0_412]) ).
cnf(refute_0_414,plain,
or(and(not(X),not(X_64)),and(X,X_64)) = xor(not(X),X_64),
inference(resolve,[$cnf( $equal(or(and(not(X),not(X_64)),and(not(not(X)),X_64)),xor(not(X),X_64)) )],[refute_0_411,refute_0_413]) ).
cnf(refute_0_415,plain,
and(not(X),not(X_64)) = not(or(X,X_64)),
inference(subst,[],[refute_0_101:[bind(Y,$fot(X_64))]]) ).
cnf(refute_0_416,plain,
or(and(X,X_64),and(not(X),not(X_64))) = or(and(X,X_64),and(not(X),not(X_64))),
introduced(tautology,[refl,[$fot(or(and(X,X_64),and(not(X),not(X_64))))]]) ).
cnf(refute_0_417,plain,
( and(not(X),not(X_64)) != not(or(X,X_64))
| or(and(X,X_64),and(not(X),not(X_64))) != or(and(X,X_64),and(not(X),not(X_64)))
| or(and(X,X_64),and(not(X),not(X_64))) = or(and(X,X_64),not(or(X,X_64))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X,X_64),and(not(X),not(X_64))),or(and(X,X_64),and(not(X),not(X_64)))) ),[1,1],$fot(not(or(X,X_64)))]]) ).
cnf(refute_0_418,plain,
( and(not(X),not(X_64)) != not(or(X,X_64))
| or(and(X,X_64),and(not(X),not(X_64))) = or(and(X,X_64),not(or(X,X_64))) ),
inference(resolve,[$cnf( $equal(or(and(X,X_64),and(not(X),not(X_64))),or(and(X,X_64),and(not(X),not(X_64)))) )],[refute_0_416,refute_0_417]) ).
cnf(refute_0_419,plain,
or(and(X,X_64),and(not(X),not(X_64))) = or(and(X,X_64),not(or(X,X_64))),
inference(resolve,[$cnf( $equal(and(not(X),not(X_64)),not(or(X,X_64))) )],[refute_0_415,refute_0_418]) ).
cnf(refute_0_420,plain,
or(and(not(X),not(X_64)),and(X,X_64)) = or(and(X,X_64),and(not(X),not(X_64))),
inference(subst,[],[refute_0_5:[bind(X,$fot(and(X,X_64))),bind(Y,$fot(and(not(X),not(X_64))))]]) ).
cnf(refute_0_421,plain,
( or(and(X,X_64),and(not(X),not(X_64))) != or(and(X,X_64),not(or(X,X_64)))
| or(and(not(X),not(X_64)),and(X,X_64)) != or(and(X,X_64),and(not(X),not(X_64)))
| or(and(not(X),not(X_64)),and(X,X_64)) = or(and(X,X_64),not(or(X,X_64))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(not(X),not(X_64)),and(X,X_64)))),bind(Y0,$fot(or(and(X,X_64),and(not(X),not(X_64))))),bind(Z0,$fot(or(and(X,X_64),not(or(X,X_64)))))]]) ).
cnf(refute_0_422,plain,
( or(and(X,X_64),and(not(X),not(X_64))) != or(and(X,X_64),not(or(X,X_64)))
| or(and(not(X),not(X_64)),and(X,X_64)) = or(and(X,X_64),not(or(X,X_64))) ),
inference(resolve,[$cnf( $equal(or(and(not(X),not(X_64)),and(X,X_64)),or(and(X,X_64),and(not(X),not(X_64)))) )],[refute_0_420,refute_0_421]) ).
cnf(refute_0_423,plain,
or(and(not(X),not(X_64)),and(X,X_64)) = or(and(X,X_64),not(or(X,X_64))),
inference(resolve,[$cnf( $equal(or(and(X,X_64),and(not(X),not(X_64))),or(and(X,X_64),not(or(X,X_64)))) )],[refute_0_419,refute_0_422]) ).
cnf(refute_0_424,plain,
( or(and(not(X),not(X_64)),and(X,X_64)) != or(and(X,X_64),not(or(X,X_64)))
| or(and(not(X),not(X_64)),and(X,X_64)) != xor(not(X),X_64)
| or(and(X,X_64),not(or(X,X_64))) = xor(not(X),X_64) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(not(X),not(X_64)),and(X,X_64)),xor(not(X),X_64)) ),[0],$fot(or(and(X,X_64),not(or(X,X_64))))]]) ).
cnf(refute_0_425,plain,
( or(and(not(X),not(X_64)),and(X,X_64)) != xor(not(X),X_64)
| or(and(X,X_64),not(or(X,X_64))) = xor(not(X),X_64) ),
inference(resolve,[$cnf( $equal(or(and(not(X),not(X_64)),and(X,X_64)),or(and(X,X_64),not(or(X,X_64)))) )],[refute_0_423,refute_0_424]) ).
cnf(refute_0_426,plain,
or(and(X,X_64),not(or(X,X_64))) = xor(not(X),X_64),
inference(resolve,[$cnf( $equal(or(and(not(X),not(X_64)),and(X,X_64)),xor(not(X),X_64)) )],[refute_0_414,refute_0_425]) ).
cnf(refute_0_427,plain,
or(and(X_63,Y),not(or(X_63,Y))) = xor(not(X_63),Y),
inference(subst,[],[refute_0_426:[bind(X,$fot(X_63)),bind(X_64,$fot(Y))]]) ).
cnf(refute_0_428,plain,
or(not(or(X_63,Y)),and(X_63,Y)) = or(and(X_63,Y),not(or(X_63,Y))),
inference(subst,[],[refute_0_5:[bind(X,$fot(and(X_63,Y))),bind(Y,$fot(not(or(X_63,Y))))]]) ).
cnf(refute_0_429,plain,
( or(and(X_63,Y),not(or(X_63,Y))) != xor(not(X_63),Y)
| or(not(or(X_63,Y)),and(X_63,Y)) != or(and(X_63,Y),not(or(X_63,Y)))
| or(not(or(X_63,Y)),and(X_63,Y)) = xor(not(X_63),Y) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(or(X_63,Y)),and(X_63,Y)))),bind(Y0,$fot(or(and(X_63,Y),not(or(X_63,Y))))),bind(Z0,$fot(xor(not(X_63),Y)))]]) ).
cnf(refute_0_430,plain,
( or(and(X_63,Y),not(or(X_63,Y))) != xor(not(X_63),Y)
| or(not(or(X_63,Y)),and(X_63,Y)) = xor(not(X_63),Y) ),
inference(resolve,[$cnf( $equal(or(not(or(X_63,Y)),and(X_63,Y)),or(and(X_63,Y),not(or(X_63,Y)))) )],[refute_0_428,refute_0_429]) ).
cnf(refute_0_431,plain,
or(not(or(X_63,Y)),and(X_63,Y)) = xor(not(X_63),Y),
inference(resolve,[$cnf( $equal(or(and(X_63,Y),not(or(X_63,Y))),xor(not(X_63),Y)) )],[refute_0_427,refute_0_430]) ).
cnf(refute_0_432,plain,
not(not(or(not(X_29),X_30))) = or(not(X_29),X_30),
inference(subst,[],[not_involution:[bind(X,$fot(or(not(X_29),X_30)))]]) ).
cnf(refute_0_433,plain,
( not(not(or(not(X_29),X_30))) != or(not(X_29),X_30)
| not(or(not(X_29),X_30)) != and(X_29,not(X_30))
| not(and(X_29,not(X_30))) = or(not(X_29),X_30) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(or(not(X_29),X_30))),or(not(X_29),X_30)) ),[0,0],$fot(and(X_29,not(X_30)))]]) ).
cnf(refute_0_434,plain,
( not(not(or(not(X_29),X_30))) != or(not(X_29),X_30)
| not(and(X_29,not(X_30))) = or(not(X_29),X_30) ),
inference(resolve,[$cnf( $equal(not(or(not(X_29),X_30)),and(X_29,not(X_30))) )],[refute_0_160,refute_0_433]) ).
cnf(refute_0_435,plain,
not(and(X_29,not(X_30))) = or(not(X_29),X_30),
inference(resolve,[$cnf( $equal(not(not(or(not(X_29),X_30))),or(not(X_29),X_30)) )],[refute_0_432,refute_0_434]) ).
cnf(refute_0_436,plain,
not(and(or(X_63,Y),not(and(X_63,Y)))) = or(not(or(X_63,Y)),and(X_63,Y)),
inference(subst,[],[refute_0_435:[bind(X_29,$fot(or(X_63,Y))),bind(X_30,$fot(and(X_63,Y)))]]) ).
cnf(refute_0_437,plain,
( not(and(or(X_63,Y),not(and(X_63,Y)))) != or(not(or(X_63,Y)),and(X_63,Y))
| or(not(or(X_63,Y)),and(X_63,Y)) != xor(not(X_63),Y)
| not(and(or(X_63,Y),not(and(X_63,Y)))) = xor(not(X_63),Y) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(or(X_63,Y),not(and(X_63,Y)))))),bind(Y0,$fot(or(not(or(X_63,Y)),and(X_63,Y)))),bind(Z0,$fot(xor(not(X_63),Y)))]]) ).
cnf(refute_0_438,plain,
( or(not(or(X_63,Y)),and(X_63,Y)) != xor(not(X_63),Y)
| not(and(or(X_63,Y),not(and(X_63,Y)))) = xor(not(X_63),Y) ),
inference(resolve,[$cnf( $equal(not(and(or(X_63,Y),not(and(X_63,Y)))),or(not(or(X_63,Y)),and(X_63,Y))) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
not(and(or(X_63,Y),not(and(X_63,Y)))) = xor(not(X_63),Y),
inference(resolve,[$cnf( $equal(or(not(or(X_63,Y)),and(X_63,Y)),xor(not(X_63),Y)) )],[refute_0_431,refute_0_438]) ).
cnf(refute_0_440,plain,
or(not(X_63),not(Y)) = not(and(X_63,Y)),
inference(subst,[],[refute_0_147:[bind(X,$fot(X_63))]]) ).
cnf(refute_0_441,plain,
and(or(X_63,Y),or(not(X_63),not(Y))) = and(or(X_63,Y),or(not(X_63),not(Y))),
introduced(tautology,[refl,[$fot(and(or(X_63,Y),or(not(X_63),not(Y))))]]) ).
cnf(refute_0_442,plain,
( and(or(X_63,Y),or(not(X_63),not(Y))) != and(or(X_63,Y),or(not(X_63),not(Y)))
| or(not(X_63),not(Y)) != not(and(X_63,Y))
| and(or(X_63,Y),or(not(X_63),not(Y))) = and(or(X_63,Y),not(and(X_63,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(X_63,Y),or(not(X_63),not(Y))),and(or(X_63,Y),or(not(X_63),not(Y)))) ),[1,1],$fot(not(and(X_63,Y)))]]) ).
cnf(refute_0_443,plain,
( or(not(X_63),not(Y)) != not(and(X_63,Y))
| and(or(X_63,Y),or(not(X_63),not(Y))) = and(or(X_63,Y),not(and(X_63,Y))) ),
inference(resolve,[$cnf( $equal(and(or(X_63,Y),or(not(X_63),not(Y))),and(or(X_63,Y),or(not(X_63),not(Y)))) )],[refute_0_441,refute_0_442]) ).
cnf(refute_0_444,plain,
and(or(X_63,Y),or(not(X_63),not(Y))) = and(or(X_63,Y),not(and(X_63,Y))),
inference(resolve,[$cnf( $equal(or(not(X_63),not(Y)),not(and(X_63,Y))) )],[refute_0_440,refute_0_443]) ).
cnf(refute_0_445,plain,
not(and(or(X_63,Y),or(not(X_63),not(Y)))) = not(and(or(X_63,Y),or(not(X_63),not(Y)))),
introduced(tautology,[refl,[$fot(not(and(or(X_63,Y),or(not(X_63),not(Y)))))]]) ).
cnf(refute_0_446,plain,
( and(or(X_63,Y),or(not(X_63),not(Y))) != and(or(X_63,Y),not(and(X_63,Y)))
| not(and(or(X_63,Y),or(not(X_63),not(Y)))) != not(and(or(X_63,Y),or(not(X_63),not(Y))))
| not(and(or(X_63,Y),or(not(X_63),not(Y)))) = not(and(or(X_63,Y),not(and(X_63,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(X_63,Y),or(not(X_63),not(Y)))),not(and(or(X_63,Y),or(not(X_63),not(Y))))) ),[1,0],$fot(and(or(X_63,Y),not(and(X_63,Y))))]]) ).
cnf(refute_0_447,plain,
( and(or(X_63,Y),or(not(X_63),not(Y))) != and(or(X_63,Y),not(and(X_63,Y)))
| not(and(or(X_63,Y),or(not(X_63),not(Y)))) = not(and(or(X_63,Y),not(and(X_63,Y)))) ),
inference(resolve,[$cnf( $equal(not(and(or(X_63,Y),or(not(X_63),not(Y)))),not(and(or(X_63,Y),or(not(X_63),not(Y))))) )],[refute_0_445,refute_0_446]) ).
cnf(refute_0_448,plain,
not(and(or(X_63,Y),or(not(X_63),not(Y)))) = not(and(or(X_63,Y),not(and(X_63,Y)))),
inference(resolve,[$cnf( $equal(and(or(X_63,Y),or(not(X_63),not(Y))),and(or(X_63,Y),not(and(X_63,Y)))) )],[refute_0_444,refute_0_447]) ).
cnf(refute_0_449,plain,
( not(and(or(X_63,Y),not(and(X_63,Y)))) != xor(not(X_63),Y)
| not(and(or(X_63,Y),or(not(X_63),not(Y)))) != not(and(or(X_63,Y),not(and(X_63,Y))))
| not(and(or(X_63,Y),or(not(X_63),not(Y)))) = xor(not(X_63),Y) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(or(X_63,Y),or(not(X_63),not(Y)))))),bind(Y0,$fot(not(and(or(X_63,Y),not(and(X_63,Y)))))),bind(Z0,$fot(xor(not(X_63),Y)))]]) ).
cnf(refute_0_450,plain,
( not(and(or(X_63,Y),not(and(X_63,Y)))) != xor(not(X_63),Y)
| not(and(or(X_63,Y),or(not(X_63),not(Y)))) = xor(not(X_63),Y) ),
inference(resolve,[$cnf( $equal(not(and(or(X_63,Y),or(not(X_63),not(Y)))),not(and(or(X_63,Y),not(and(X_63,Y))))) )],[refute_0_448,refute_0_449]) ).
cnf(refute_0_451,plain,
not(and(or(X_63,Y),or(not(X_63),not(Y)))) = xor(not(X_63),Y),
inference(resolve,[$cnf( $equal(not(and(or(X_63,Y),not(and(X_63,Y)))),xor(not(X_63),Y)) )],[refute_0_439,refute_0_450]) ).
cnf(refute_0_452,plain,
not(and(or(not(X_63),not(Y)),or(X_63,Y))) = not(and(or(X_63,Y),or(not(X_63),not(Y)))),
inference(subst,[],[refute_0_333:[bind(X_31,$fot(or(not(X_63),not(Y)))),bind(X_32,$fot(or(X_63,Y)))]]) ).
cnf(refute_0_453,plain,
not(and(or(not(X),X_26),X_32)) = or(not(or(not(X),X_26)),not(X_32)),
inference(subst,[],[and_demorgan:[bind(X,$fot(or(not(X),X_26))),bind(Y,$fot(X_32))]]) ).
cnf(refute_0_454,plain,
( not(and(or(not(X),X_26),X_32)) != or(not(or(not(X),X_26)),not(X_32))
| not(or(not(X),X_26)) != and(X,not(X_26))
| not(and(or(not(X),X_26),X_32)) = or(and(X,not(X_26)),not(X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(not(X),X_26),X_32)),or(not(or(not(X),X_26)),not(X_32))) ),[1,0],$fot(and(X,not(X_26)))]]) ).
cnf(refute_0_455,plain,
( not(and(or(not(X),X_26),X_32)) != or(not(or(not(X),X_26)),not(X_32))
| not(and(or(not(X),X_26),X_32)) = or(and(X,not(X_26)),not(X_32)) ),
inference(resolve,[$cnf( $equal(not(or(not(X),X_26)),and(X,not(X_26))) )],[refute_0_159,refute_0_454]) ).
cnf(refute_0_456,plain,
not(and(or(not(X),X_26),X_32)) = or(and(X,not(X_26)),not(X_32)),
inference(resolve,[$cnf( $equal(not(and(or(not(X),X_26),X_32)),or(not(or(not(X),X_26)),not(X_32))) )],[refute_0_453,refute_0_455]) ).
cnf(refute_0_457,plain,
( not(and(or(not(X),X_26),X_32)) != or(and(X,not(X_26)),not(X_32))
| or(and(X,not(X_26)),not(X_32)) = not(and(or(not(X),X_26),X_32)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(or(not(X),X_26),X_32)))),bind(Y0,$fot(or(and(X,not(X_26)),not(X_32))))]]) ).
cnf(refute_0_458,plain,
or(and(X,not(X_26)),not(X_32)) = not(and(or(not(X),X_26),X_32)),
inference(resolve,[$cnf( $equal(not(and(or(not(X),X_26),X_32)),or(and(X,not(X_26)),not(X_32))) )],[refute_0_456,refute_0_457]) ).
cnf(refute_0_459,plain,
or(and(X_63,not(not(Y))),not(or(X_63,Y))) = not(and(or(not(X_63),not(Y)),or(X_63,Y))),
inference(subst,[],[refute_0_458:[bind(X,$fot(X_63)),bind(X_26,$fot(not(Y))),bind(X_32,$fot(or(X_63,Y)))]]) ).
cnf(refute_0_460,plain,
( not(and(or(not(X_63),not(Y)),or(X_63,Y))) != not(and(or(X_63,Y),or(not(X_63),not(Y))))
| or(and(X_63,not(not(Y))),not(or(X_63,Y))) != not(and(or(not(X_63),not(Y)),or(X_63,Y)))
| or(and(X_63,not(not(Y))),not(or(X_63,Y))) = not(and(or(X_63,Y),or(not(X_63),not(Y)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(X_63,not(not(Y))),not(or(X_63,Y))))),bind(Y0,$fot(not(and(or(not(X_63),not(Y)),or(X_63,Y))))),bind(Z0,$fot(not(and(or(X_63,Y),or(not(X_63),not(Y))))))]]) ).
cnf(refute_0_461,plain,
( not(and(or(not(X_63),not(Y)),or(X_63,Y))) != not(and(or(X_63,Y),or(not(X_63),not(Y))))
| or(and(X_63,not(not(Y))),not(or(X_63,Y))) = not(and(or(X_63,Y),or(not(X_63),not(Y)))) ),
inference(resolve,[$cnf( $equal(or(and(X_63,not(not(Y))),not(or(X_63,Y))),not(and(or(not(X_63),not(Y)),or(X_63,Y)))) )],[refute_0_459,refute_0_460]) ).
cnf(refute_0_462,plain,
or(and(X_63,not(not(Y))),not(or(X_63,Y))) = not(and(or(X_63,Y),or(not(X_63),not(Y)))),
inference(resolve,[$cnf( $equal(not(and(or(not(X_63),not(Y)),or(X_63,Y))),not(and(or(X_63,Y),or(not(X_63),not(Y))))) )],[refute_0_452,refute_0_461]) ).
cnf(refute_0_463,plain,
( not(and(or(X_63,Y),or(not(X_63),not(Y)))) != xor(not(X_63),Y)
| or(and(X_63,not(not(Y))),not(or(X_63,Y))) != not(and(or(X_63,Y),or(not(X_63),not(Y))))
| or(and(X_63,not(not(Y))),not(or(X_63,Y))) = xor(not(X_63),Y) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(X_63,not(not(Y))),not(or(X_63,Y))))),bind(Y0,$fot(not(and(or(X_63,Y),or(not(X_63),not(Y)))))),bind(Z0,$fot(xor(not(X_63),Y)))]]) ).
cnf(refute_0_464,plain,
( not(and(or(X_63,Y),or(not(X_63),not(Y)))) != xor(not(X_63),Y)
| or(and(X_63,not(not(Y))),not(or(X_63,Y))) = xor(not(X_63),Y) ),
inference(resolve,[$cnf( $equal(or(and(X_63,not(not(Y))),not(or(X_63,Y))),not(and(or(X_63,Y),or(not(X_63),not(Y))))) )],[refute_0_462,refute_0_463]) ).
cnf(refute_0_465,plain,
or(and(X_63,not(not(Y))),not(or(X_63,Y))) = xor(not(X_63),Y),
inference(resolve,[$cnf( $equal(not(and(or(X_63,Y),or(not(X_63),not(Y)))),xor(not(X_63),Y)) )],[refute_0_451,refute_0_464]) ).
cnf(refute_0_466,plain,
( or(and(X_63,not(not(Y))),not(or(X_63,Y))) != xor(X_63,not(Y))
| or(and(X_63,not(not(Y))),not(or(X_63,Y))) != xor(not(X_63),Y)
| xor(not(X_63),Y) = xor(X_63,not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X_63,not(not(Y))),not(or(X_63,Y))),xor(X_63,not(Y))) ),[0],$fot(xor(not(X_63),Y))]]) ).
cnf(refute_0_467,plain,
( or(and(X_63,not(not(Y))),not(or(X_63,Y))) != xor(X_63,not(Y))
| xor(not(X_63),Y) = xor(X_63,not(Y)) ),
inference(resolve,[$cnf( $equal(or(and(X_63,not(not(Y))),not(or(X_63,Y))),xor(not(X_63),Y)) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
xor(not(X_63),Y) = xor(X_63,not(Y)),
inference(resolve,[$cnf( $equal(or(and(X_63,not(not(Y))),not(or(X_63,Y))),xor(X_63,not(Y))) )],[refute_0_410,refute_0_467]) ).
cnf(refute_0_469,plain,
xor(not(X_64),X_64) = xor(X_64,not(X_64)),
inference(subst,[],[refute_0_468:[bind(Y,$fot(X_64)),bind(X_63,$fot(X_64))]]) ).
cnf(refute_0_470,plain,
( ll1 != xor(not(X_64),X_64)
| xor(not(X_64),X_64) != xor(X_64,not(X_64))
| ll1 = xor(X_64,not(X_64)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll1,xor(X_64,not(X_64))) ),[0],$fot(xor(not(X_64),X_64))]]) ).
cnf(refute_0_471,plain,
( ll1 != xor(not(X_64),X_64)
| ll1 = xor(X_64,not(X_64)) ),
inference(resolve,[$cnf( $equal(xor(not(X_64),X_64),xor(X_64,not(X_64))) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
( or(not(X_64),and(not(not(X_64)),X_64)) != xor(not(X_64),X_64)
| ll1 = xor(X_64,not(X_64)) ),
inference(resolve,[$cnf( $equal(ll1,xor(not(X_64),X_64)) )],[refute_0_403,refute_0_471]) ).
cnf(refute_0_473,plain,
ll1 = xor(X_64,not(X_64)),
inference(resolve,[$cnf( $equal(or(not(X_64),and(not(not(X_64)),X_64)),xor(not(X_64),X_64)) )],[refute_0_376,refute_0_472]) ).
cnf(refute_0_474,plain,
ll1 = xor(xor(t1,t2),not(xor(t1,t2))),
inference(subst,[],[refute_0_473:[bind(X_64,$fot(xor(t1,t2)))]]) ).
cnf(refute_0_475,plain,
not(not(and(t1,t2))) = and(t1,t2),
inference(subst,[],[not_involution:[bind(X,$fot(and(t1,t2)))]]) ).
cnf(refute_0_476,plain,
or(and(t1,not(t2)),and(not(t1),t2)) = xor(t1,t2),
inference(subst,[],[refute_0_9:[bind(X,$fot(t1)),bind(Y,$fot(t2))]]) ).
cnf(refute_0_477,plain,
and(not(t2),or(t1,not(t2))) = not(t2),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(not(t2))),bind(X_20,$fot(t1))]]) ).
cnf(refute_0_478,plain,
or(t1,and(a,t1)) = t1,
inference(subst,[],[refute_0_222:[bind(X_13,$fot(t1)),bind(X_14,$fot(a))]]) ).
cnf(refute_0_479,plain,
( and(a,t1) != not(t2)
| or(t1,and(a,t1)) != t1
| or(t1,not(t2)) = t1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,and(a,t1)),t1) ),[0,1],$fot(not(t2))]]) ).
cnf(refute_0_480,plain,
( or(t1,and(a,t1)) != t1
| or(t1,not(t2)) = t1 ),
inference(resolve,[$cnf( $equal(and(a,t1),not(t2)) )],[refute_0_284,refute_0_479]) ).
cnf(refute_0_481,plain,
or(t1,not(t2)) = t1,
inference(resolve,[$cnf( $equal(or(t1,and(a,t1)),t1) )],[refute_0_478,refute_0_480]) ).
cnf(refute_0_482,plain,
( and(not(t2),or(t1,not(t2))) != not(t2)
| or(t1,not(t2)) != t1
| and(not(t2),t1) = not(t2) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),or(t1,not(t2))),not(t2)) ),[0,1],$fot(t1)]]) ).
cnf(refute_0_483,plain,
( and(not(t2),or(t1,not(t2))) != not(t2)
| and(not(t2),t1) = not(t2) ),
inference(resolve,[$cnf( $equal(or(t1,not(t2)),t1) )],[refute_0_481,refute_0_482]) ).
cnf(refute_0_484,plain,
and(not(t2),t1) = not(t2),
inference(resolve,[$cnf( $equal(and(not(t2),or(t1,not(t2))),not(t2)) )],[refute_0_477,refute_0_483]) ).
cnf(refute_0_485,plain,
and(not(t2),t1) = and(t1,not(t2)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t1)),bind(Y,$fot(not(t2)))]]) ).
cnf(refute_0_486,plain,
( and(not(t2),t1) != and(t1,not(t2))
| and(not(t2),t1) != not(t2)
| and(t1,not(t2)) = not(t2) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),t1),not(t2)) ),[0],$fot(and(t1,not(t2)))]]) ).
cnf(refute_0_487,plain,
( and(not(t2),t1) != not(t2)
| and(t1,not(t2)) = not(t2) ),
inference(resolve,[$cnf( $equal(and(not(t2),t1),and(t1,not(t2))) )],[refute_0_485,refute_0_486]) ).
cnf(refute_0_488,plain,
and(t1,not(t2)) = not(t2),
inference(resolve,[$cnf( $equal(and(not(t2),t1),not(t2)) )],[refute_0_484,refute_0_487]) ).
cnf(refute_0_489,plain,
( and(t1,not(t2)) != not(t2)
| or(and(t1,not(t2)),and(not(t1),t2)) != xor(t1,t2)
| or(not(t2),and(not(t1),t2)) = xor(t1,t2) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t1,not(t2)),and(not(t1),t2)),xor(t1,t2)) ),[0,0],$fot(not(t2))]]) ).
cnf(refute_0_490,plain,
( or(and(t1,not(t2)),and(not(t1),t2)) != xor(t1,t2)
| or(not(t2),and(not(t1),t2)) = xor(t1,t2) ),
inference(resolve,[$cnf( $equal(and(t1,not(t2)),not(t2)) )],[refute_0_488,refute_0_489]) ).
cnf(refute_0_491,plain,
or(not(t2),and(not(t1),t2)) = xor(t1,t2),
inference(resolve,[$cnf( $equal(or(and(t1,not(t2)),and(not(t1),t2)),xor(t1,t2)) )],[refute_0_476,refute_0_490]) ).
cnf(refute_0_492,plain,
not(and(t2,t1)) = not(and(t1,t2)),
inference(subst,[],[refute_0_333:[bind(X_31,$fot(t2)),bind(X_32,$fot(t1))]]) ).
cnf(refute_0_493,plain,
or(not(t2),not(t1)) = not(and(t2,t1)),
inference(subst,[],[refute_0_147:[bind(X,$fot(t2)),bind(Y,$fot(t1))]]) ).
cnf(refute_0_494,plain,
( not(and(t2,t1)) != not(and(t1,t2))
| or(not(t2),not(t1)) != not(and(t2,t1))
| or(not(t2),not(t1)) = not(and(t1,t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t2),not(t1)))),bind(Y0,$fot(not(and(t2,t1)))),bind(Z0,$fot(not(and(t1,t2))))]]) ).
cnf(refute_0_495,plain,
( not(and(t2,t1)) != not(and(t1,t2))
| or(not(t2),not(t1)) = not(and(t1,t2)) ),
inference(resolve,[$cnf( $equal(or(not(t2),not(t1)),not(and(t2,t1))) )],[refute_0_493,refute_0_494]) ).
cnf(refute_0_496,plain,
or(not(t2),not(t1)) = not(and(t1,t2)),
inference(resolve,[$cnf( $equal(not(and(t2,t1)),not(and(t1,t2))) )],[refute_0_492,refute_0_495]) ).
cnf(refute_0_497,plain,
not(or(not(t2),t1)) = not(or(t1,not(t2))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(t1)),bind(X_26,$fot(not(t2)))]]) ).
cnf(refute_0_498,plain,
( not(or(not(t2),t1)) != not(or(t1,not(t2)))
| or(t1,not(t2)) != t1
| not(or(not(t2),t1)) = not(t1) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(t2),t1)),not(or(t1,not(t2)))) ),[1,0],$fot(t1)]]) ).
cnf(refute_0_499,plain,
( not(or(not(t2),t1)) != not(or(t1,not(t2)))
| not(or(not(t2),t1)) = not(t1) ),
inference(resolve,[$cnf( $equal(or(t1,not(t2)),t1) )],[refute_0_481,refute_0_498]) ).
cnf(refute_0_500,plain,
not(or(not(t2),t1)) = not(t1),
inference(resolve,[$cnf( $equal(not(or(not(t2),t1)),not(or(t1,not(t2)))) )],[refute_0_497,refute_0_499]) ).
cnf(refute_0_501,plain,
not(or(not(t2),t1)) = and(t2,not(t1)),
inference(subst,[],[refute_0_159:[bind(X,$fot(t2)),bind(X_26,$fot(t1))]]) ).
cnf(refute_0_502,plain,
( not(or(not(t2),t1)) != and(t2,not(t1))
| not(or(not(t2),t1)) != not(t1)
| and(t2,not(t1)) = not(t1) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(t2),t1)),not(t1)) ),[0],$fot(and(t2,not(t1)))]]) ).
cnf(refute_0_503,plain,
( not(or(not(t2),t1)) != not(t1)
| and(t2,not(t1)) = not(t1) ),
inference(resolve,[$cnf( $equal(not(or(not(t2),t1)),and(t2,not(t1))) )],[refute_0_501,refute_0_502]) ).
cnf(refute_0_504,plain,
and(t2,not(t1)) = not(t1),
inference(resolve,[$cnf( $equal(not(or(not(t2),t1)),not(t1)) )],[refute_0_500,refute_0_503]) ).
cnf(refute_0_505,plain,
and(not(t1),t2) = and(t2,not(t1)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t2)),bind(Y,$fot(not(t1)))]]) ).
cnf(refute_0_506,plain,
( and(not(t1),t2) != and(t2,not(t1))
| and(t2,not(t1)) != not(t1)
| and(not(t1),t2) = not(t1) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t1),t2))),bind(Y0,$fot(and(t2,not(t1)))),bind(Z0,$fot(not(t1)))]]) ).
cnf(refute_0_507,plain,
( and(t2,not(t1)) != not(t1)
| and(not(t1),t2) = not(t1) ),
inference(resolve,[$cnf( $equal(and(not(t1),t2),and(t2,not(t1))) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
and(not(t1),t2) = not(t1),
inference(resolve,[$cnf( $equal(and(t2,not(t1)),not(t1)) )],[refute_0_504,refute_0_507]) ).
cnf(refute_0_509,plain,
or(not(t2),and(not(t1),t2)) = or(not(t2),and(not(t1),t2)),
introduced(tautology,[refl,[$fot(or(not(t2),and(not(t1),t2)))]]) ).
cnf(refute_0_510,plain,
( and(not(t1),t2) != not(t1)
| or(not(t2),and(not(t1),t2)) != or(not(t2),and(not(t1),t2))
| or(not(t2),and(not(t1),t2)) = or(not(t2),not(t1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t2),and(not(t1),t2)),or(not(t2),and(not(t1),t2))) ),[1,1],$fot(not(t1))]]) ).
cnf(refute_0_511,plain,
( and(not(t1),t2) != not(t1)
| or(not(t2),and(not(t1),t2)) = or(not(t2),not(t1)) ),
inference(resolve,[$cnf( $equal(or(not(t2),and(not(t1),t2)),or(not(t2),and(not(t1),t2))) )],[refute_0_509,refute_0_510]) ).
cnf(refute_0_512,plain,
or(not(t2),and(not(t1),t2)) = or(not(t2),not(t1)),
inference(resolve,[$cnf( $equal(and(not(t1),t2),not(t1)) )],[refute_0_508,refute_0_511]) ).
cnf(refute_0_513,plain,
( or(not(t2),and(not(t1),t2)) != or(not(t2),not(t1))
| or(not(t2),not(t1)) != not(and(t1,t2))
| or(not(t2),and(not(t1),t2)) = not(and(t1,t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t2),and(not(t1),t2)))),bind(Y0,$fot(or(not(t2),not(t1)))),bind(Z0,$fot(not(and(t1,t2))))]]) ).
cnf(refute_0_514,plain,
( or(not(t2),not(t1)) != not(and(t1,t2))
| or(not(t2),and(not(t1),t2)) = not(and(t1,t2)) ),
inference(resolve,[$cnf( $equal(or(not(t2),and(not(t1),t2)),or(not(t2),not(t1))) )],[refute_0_512,refute_0_513]) ).
cnf(refute_0_515,plain,
or(not(t2),and(not(t1),t2)) = not(and(t1,t2)),
inference(resolve,[$cnf( $equal(or(not(t2),not(t1)),not(and(t1,t2))) )],[refute_0_496,refute_0_514]) ).
cnf(refute_0_516,plain,
( or(not(t2),and(not(t1),t2)) != not(and(t1,t2))
| or(not(t2),and(not(t1),t2)) != xor(t1,t2)
| not(and(t1,t2)) = xor(t1,t2) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t2),and(not(t1),t2)),xor(t1,t2)) ),[0],$fot(not(and(t1,t2)))]]) ).
cnf(refute_0_517,plain,
( or(not(t2),and(not(t1),t2)) != xor(t1,t2)
| not(and(t1,t2)) = xor(t1,t2) ),
inference(resolve,[$cnf( $equal(or(not(t2),and(not(t1),t2)),not(and(t1,t2))) )],[refute_0_515,refute_0_516]) ).
cnf(refute_0_518,plain,
not(and(t1,t2)) = xor(t1,t2),
inference(resolve,[$cnf( $equal(or(not(t2),and(not(t1),t2)),xor(t1,t2)) )],[refute_0_491,refute_0_517]) ).
cnf(refute_0_519,plain,
( not(and(t1,t2)) != xor(t1,t2)
| not(not(and(t1,t2))) != and(t1,t2)
| not(xor(t1,t2)) = and(t1,t2) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(t1,t2))),and(t1,t2)) ),[0,0],$fot(xor(t1,t2))]]) ).
cnf(refute_0_520,plain,
( not(not(and(t1,t2))) != and(t1,t2)
| not(xor(t1,t2)) = and(t1,t2) ),
inference(resolve,[$cnf( $equal(not(and(t1,t2)),xor(t1,t2)) )],[refute_0_518,refute_0_519]) ).
cnf(refute_0_521,plain,
not(xor(t1,t2)) = and(t1,t2),
inference(resolve,[$cnf( $equal(not(not(and(t1,t2))),and(t1,t2)) )],[refute_0_475,refute_0_520]) ).
cnf(refute_0_522,plain,
( ll1 != xor(xor(t1,t2),not(xor(t1,t2)))
| not(xor(t1,t2)) != and(t1,t2)
| ll1 = xor(xor(t1,t2),and(t1,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,xor(xor(t1,t2),not(xor(t1,t2)))) ),[1,1],$fot(and(t1,t2))]]) ).
cnf(refute_0_523,plain,
( ll1 != xor(xor(t1,t2),not(xor(t1,t2)))
| ll1 = xor(xor(t1,t2),and(t1,t2)) ),
inference(resolve,[$cnf( $equal(not(xor(t1,t2)),and(t1,t2)) )],[refute_0_521,refute_0_522]) ).
cnf(refute_0_524,plain,
ll1 = xor(xor(t1,t2),and(t1,t2)),
inference(resolve,[$cnf( $equal(ll1,xor(xor(t1,t2),not(xor(t1,t2)))) )],[refute_0_474,refute_0_523]) ).
cnf(refute_0_525,plain,
( xor(X,xor(Y,Z)) != xor(xor(X,Y),Z)
| xor(xor(X,Y),Z) = xor(X,xor(Y,Z)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X,xor(Y,Z)))),bind(Y0,$fot(xor(xor(X,Y),Z)))]]) ).
cnf(refute_0_526,plain,
xor(xor(X,Y),Z) = xor(X,xor(Y,Z)),
inference(resolve,[$cnf( $equal(xor(X,xor(Y,Z)),xor(xor(X,Y),Z)) )],[xor_associative,refute_0_525]) ).
cnf(refute_0_527,plain,
xor(xor(t1,t2),and(t1,t2)) = xor(t1,xor(t2,and(t1,t2))),
inference(subst,[],[refute_0_526:[bind(X,$fot(t1)),bind(Y,$fot(t2)),bind(Z,$fot(and(t1,t2)))]]) ).
cnf(refute_0_528,plain,
( ll1 != xor(xor(t1,t2),and(t1,t2))
| xor(xor(t1,t2),and(t1,t2)) != xor(t1,xor(t2,and(t1,t2)))
| ll1 = xor(t1,xor(t2,and(t1,t2))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll1,xor(t1,xor(t2,and(t1,t2)))) ),[0],$fot(xor(xor(t1,t2),and(t1,t2)))]]) ).
cnf(refute_0_529,plain,
( ll1 != xor(xor(t1,t2),and(t1,t2))
| ll1 = xor(t1,xor(t2,and(t1,t2))) ),
inference(resolve,[$cnf( $equal(xor(xor(t1,t2),and(t1,t2)),xor(t1,xor(t2,and(t1,t2)))) )],[refute_0_527,refute_0_528]) ).
cnf(refute_0_530,plain,
ll1 = xor(t1,xor(t2,and(t1,t2))),
inference(resolve,[$cnf( $equal(ll1,xor(xor(t1,t2),and(t1,t2))) )],[refute_0_524,refute_0_529]) ).
cnf(refute_0_531,plain,
( ll1 != xor(t1,xor(t2,and(t1,t2)))
| xor(t1,xor(t2,and(t1,t2))) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(xor(t1,xor(t2,and(t1,t2)))))]]) ).
cnf(refute_0_532,plain,
xor(t1,xor(t2,and(t1,t2))) = ll1,
inference(resolve,[$cnf( $equal(ll1,xor(t1,xor(t2,and(t1,t2)))) )],[refute_0_530,refute_0_531]) ).
cnf(refute_0_533,plain,
( xor(a,xor(t1,xor(t2,and(t1,t2)))) != xor(t2,xor(t2,and(t1,t2)))
| xor(t1,xor(t2,and(t1,t2))) != ll1
| xor(a,ll1) = xor(t2,xor(t2,and(t1,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t1,xor(t2,and(t1,t2)))),xor(t2,xor(t2,and(t1,t2)))) ),[0,1],$fot(ll1)]]) ).
cnf(refute_0_534,plain,
( xor(a,xor(t1,xor(t2,and(t1,t2)))) != xor(t2,xor(t2,and(t1,t2)))
| xor(a,ll1) = xor(t2,xor(t2,and(t1,t2))) ),
inference(resolve,[$cnf( $equal(xor(t1,xor(t2,and(t1,t2))),ll1) )],[refute_0_532,refute_0_533]) ).
cnf(refute_0_535,plain,
xor(a,ll1) = xor(t2,xor(t2,and(t1,t2))),
inference(resolve,[$cnf( $equal(xor(a,xor(t1,xor(t2,and(t1,t2)))),xor(t2,xor(t2,and(t1,t2)))) )],[refute_0_371,refute_0_534]) ).
cnf(refute_0_536,plain,
or(and(X_63,not(ll1)),and(not(X_63),ll1)) = xor(X_63,ll1),
inference(subst,[],[refute_0_9:[bind(X,$fot(X_63)),bind(Y,$fot(ll1))]]) ).
cnf(refute_0_537,plain,
and(not(X_63),ll1) = not(X_63),
inference(subst,[],[and_identity:[bind(X,$fot(not(X_63)))]]) ).
cnf(refute_0_538,plain,
( and(not(X_63),ll1) != not(X_63)
| or(and(X_63,not(ll1)),and(not(X_63),ll1)) != xor(X_63,ll1)
| or(and(X_63,not(ll1)),not(X_63)) = xor(X_63,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X_63,not(ll1)),and(not(X_63),ll1)),xor(X_63,ll1)) ),[0,1],$fot(not(X_63))]]) ).
cnf(refute_0_539,plain,
( or(and(X_63,not(ll1)),and(not(X_63),ll1)) != xor(X_63,ll1)
| or(and(X_63,not(ll1)),not(X_63)) = xor(X_63,ll1) ),
inference(resolve,[$cnf( $equal(and(not(X_63),ll1),not(X_63)) )],[refute_0_537,refute_0_538]) ).
cnf(refute_0_540,plain,
or(and(X_63,not(ll1)),not(X_63)) = xor(X_63,ll1),
inference(resolve,[$cnf( $equal(or(and(X_63,not(ll1)),and(not(X_63),ll1)),xor(X_63,ll1)) )],[refute_0_536,refute_0_539]) ).
cnf(refute_0_541,plain,
and(X_63,ll1) = X_63,
inference(subst,[],[and_identity:[bind(X,$fot(X_63))]]) ).
cnf(refute_0_542,plain,
or(ll1,and(ll1,X_14)) = ll1,
inference(subst,[],[or_absorption:[bind(X,$fot(ll1)),bind(Y,$fot(X_14))]]) ).
cnf(refute_0_543,plain,
and(ll1,X_14) = X_14,
inference(subst,[],[refute_0_64:[bind(X,$fot(X_14))]]) ).
cnf(refute_0_544,plain,
( and(ll1,X_14) != X_14
| or(ll1,and(ll1,X_14)) != ll1
| or(ll1,X_14) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(ll1,and(ll1,X_14)),ll1) ),[0,1],$fot(X_14)]]) ).
cnf(refute_0_545,plain,
( or(ll1,and(ll1,X_14)) != ll1
| or(ll1,X_14) = ll1 ),
inference(resolve,[$cnf( $equal(and(ll1,X_14),X_14) )],[refute_0_543,refute_0_544]) ).
cnf(refute_0_546,plain,
or(ll1,X_14) = ll1,
inference(resolve,[$cnf( $equal(or(ll1,and(ll1,X_14)),ll1) )],[refute_0_542,refute_0_545]) ).
cnf(refute_0_547,plain,
or(ll1,not(X_63)) = ll1,
inference(subst,[],[refute_0_546:[bind(X_14,$fot(not(X_63)))]]) ).
cnf(refute_0_548,plain,
and(X_63,or(ll1,not(X_63))) = and(X_63,or(ll1,not(X_63))),
introduced(tautology,[refl,[$fot(and(X_63,or(ll1,not(X_63))))]]) ).
cnf(refute_0_549,plain,
( and(X_63,or(ll1,not(X_63))) != and(X_63,or(ll1,not(X_63)))
| or(ll1,not(X_63)) != ll1
| and(X_63,or(ll1,not(X_63))) = and(X_63,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(and(X_63,or(ll1,not(X_63))),and(X_63,or(ll1,not(X_63)))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_550,plain,
( or(ll1,not(X_63)) != ll1
| and(X_63,or(ll1,not(X_63))) = and(X_63,ll1) ),
inference(resolve,[$cnf( $equal(and(X_63,or(ll1,not(X_63))),and(X_63,or(ll1,not(X_63)))) )],[refute_0_548,refute_0_549]) ).
cnf(refute_0_551,plain,
and(X_63,or(ll1,not(X_63))) = and(X_63,ll1),
inference(resolve,[$cnf( $equal(or(ll1,not(X_63)),ll1) )],[refute_0_547,refute_0_550]) ).
cnf(refute_0_552,plain,
( and(X_63,ll1) != X_63
| and(X_63,or(ll1,not(X_63))) != and(X_63,ll1)
| and(X_63,or(ll1,not(X_63))) = X_63 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(X_63,or(ll1,not(X_63))))),bind(Y0,$fot(and(X_63,ll1))),bind(Z0,$fot(X_63))]]) ).
cnf(refute_0_553,plain,
( and(X_63,ll1) != X_63
| and(X_63,or(ll1,not(X_63))) = X_63 ),
inference(resolve,[$cnf( $equal(and(X_63,or(ll1,not(X_63))),and(X_63,ll1)) )],[refute_0_551,refute_0_552]) ).
cnf(refute_0_554,plain,
and(X_63,or(ll1,not(X_63))) = X_63,
inference(resolve,[$cnf( $equal(and(X_63,ll1),X_63) )],[refute_0_541,refute_0_553]) ).
cnf(refute_0_555,plain,
not(and(X_63,or(ll1,not(X_63)))) = not(and(X_63,or(ll1,not(X_63)))),
introduced(tautology,[refl,[$fot(not(and(X_63,or(ll1,not(X_63)))))]]) ).
cnf(refute_0_556,plain,
( and(X_63,or(ll1,not(X_63))) != X_63
| not(and(X_63,or(ll1,not(X_63)))) != not(and(X_63,or(ll1,not(X_63))))
| not(and(X_63,or(ll1,not(X_63)))) = not(X_63) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X_63,or(ll1,not(X_63)))),not(and(X_63,or(ll1,not(X_63))))) ),[1,0],$fot(X_63)]]) ).
cnf(refute_0_557,plain,
( and(X_63,or(ll1,not(X_63))) != X_63
| not(and(X_63,or(ll1,not(X_63)))) = not(X_63) ),
inference(resolve,[$cnf( $equal(not(and(X_63,or(ll1,not(X_63)))),not(and(X_63,or(ll1,not(X_63))))) )],[refute_0_555,refute_0_556]) ).
cnf(refute_0_558,plain,
not(and(X_63,or(ll1,not(X_63)))) = not(X_63),
inference(resolve,[$cnf( $equal(and(X_63,or(ll1,not(X_63))),X_63) )],[refute_0_554,refute_0_557]) ).
cnf(refute_0_559,plain,
not(and(or(ll1,not(X_63)),X_63)) = not(and(X_63,or(ll1,not(X_63)))),
inference(subst,[],[refute_0_333:[bind(X_31,$fot(or(ll1,not(X_63)))),bind(X_32,$fot(X_63))]]) ).
cnf(refute_0_560,plain,
not(and(or(X_25,X_26),X_32)) = or(not(or(X_25,X_26)),not(X_32)),
inference(subst,[],[and_demorgan:[bind(X,$fot(or(X_25,X_26))),bind(Y,$fot(X_32))]]) ).
cnf(refute_0_561,plain,
( not(or(X_26,X_25)) != not(or(X_25,X_26))
| not(or(X_25,X_26)) = not(or(X_26,X_25)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X_26,X_25)))),bind(Y0,$fot(not(or(X_25,X_26))))]]) ).
cnf(refute_0_562,plain,
not(or(X_25,X_26)) = not(or(X_26,X_25)),
inference(resolve,[$cnf( $equal(not(or(X_26,X_25)),not(or(X_25,X_26))) )],[refute_0_105,refute_0_561]) ).
cnf(refute_0_563,plain,
( not(and(or(X_25,X_26),X_32)) != or(not(or(X_25,X_26)),not(X_32))
| not(or(X_25,X_26)) != not(or(X_26,X_25))
| not(and(or(X_25,X_26),X_32)) = or(not(or(X_26,X_25)),not(X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(X_25,X_26),X_32)),or(not(or(X_25,X_26)),not(X_32))) ),[1,0],$fot(not(or(X_26,X_25)))]]) ).
cnf(refute_0_564,plain,
( not(and(or(X_25,X_26),X_32)) != or(not(or(X_25,X_26)),not(X_32))
| not(and(or(X_25,X_26),X_32)) = or(not(or(X_26,X_25)),not(X_32)) ),
inference(resolve,[$cnf( $equal(not(or(X_25,X_26)),not(or(X_26,X_25))) )],[refute_0_562,refute_0_563]) ).
cnf(refute_0_565,plain,
not(and(or(X_25,X_26),X_32)) = or(not(or(X_26,X_25)),not(X_32)),
inference(resolve,[$cnf( $equal(not(and(or(X_25,X_26),X_32)),or(not(or(X_25,X_26)),not(X_32))) )],[refute_0_560,refute_0_564]) ).
cnf(refute_0_566,plain,
or(not(or(X_26,X_25)),not(X_32)) = not(and(or(X_26,X_25),X_32)),
inference(subst,[],[refute_0_147:[bind(X,$fot(or(X_26,X_25))),bind(Y,$fot(X_32))]]) ).
cnf(refute_0_567,plain,
( not(and(or(X_25,X_26),X_32)) != or(not(or(X_26,X_25)),not(X_32))
| or(not(or(X_26,X_25)),not(X_32)) != not(and(or(X_26,X_25),X_32))
| not(and(or(X_25,X_26),X_32)) = not(and(or(X_26,X_25),X_32)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(or(X_25,X_26),X_32)),not(and(or(X_26,X_25),X_32))) ),[0],$fot(or(not(or(X_26,X_25)),not(X_32)))]]) ).
cnf(refute_0_568,plain,
( not(and(or(X_25,X_26),X_32)) != or(not(or(X_26,X_25)),not(X_32))
| not(and(or(X_25,X_26),X_32)) = not(and(or(X_26,X_25),X_32)) ),
inference(resolve,[$cnf( $equal(or(not(or(X_26,X_25)),not(X_32)),not(and(or(X_26,X_25),X_32))) )],[refute_0_566,refute_0_567]) ).
cnf(refute_0_569,plain,
not(and(or(X_25,X_26),X_32)) = not(and(or(X_26,X_25),X_32)),
inference(resolve,[$cnf( $equal(not(and(or(X_25,X_26),X_32)),or(not(or(X_26,X_25)),not(X_32))) )],[refute_0_565,refute_0_568]) ).
cnf(refute_0_570,plain,
( not(and(or(X_25,X_26),X_32)) != not(and(or(X_26,X_25),X_32))
| not(and(or(X_26,X_25),X_32)) = not(and(or(X_25,X_26),X_32)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(or(X_25,X_26),X_32)))),bind(Y0,$fot(not(and(or(X_26,X_25),X_32))))]]) ).
cnf(refute_0_571,plain,
not(and(or(X_26,X_25),X_32)) = not(and(or(X_25,X_26),X_32)),
inference(resolve,[$cnf( $equal(not(and(or(X_25,X_26),X_32)),not(and(or(X_26,X_25),X_32))) )],[refute_0_569,refute_0_570]) ).
cnf(refute_0_572,plain,
not(and(or(not(X_63),ll1),X_63)) = not(and(or(ll1,not(X_63)),X_63)),
inference(subst,[],[refute_0_571:[bind(X_25,$fot(ll1)),bind(X_26,$fot(not(X_63))),bind(X_32,$fot(X_63))]]) ).
cnf(refute_0_573,plain,
( not(and(or(ll1,not(X_63)),X_63)) != not(and(X_63,or(ll1,not(X_63))))
| not(and(or(not(X_63),ll1),X_63)) != not(and(or(ll1,not(X_63)),X_63))
| not(and(or(not(X_63),ll1),X_63)) = not(and(X_63,or(ll1,not(X_63)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(or(not(X_63),ll1),X_63)))),bind(Y0,$fot(not(and(or(ll1,not(X_63)),X_63)))),bind(Z0,$fot(not(and(X_63,or(ll1,not(X_63))))))]]) ).
cnf(refute_0_574,plain,
( not(and(or(ll1,not(X_63)),X_63)) != not(and(X_63,or(ll1,not(X_63))))
| not(and(or(not(X_63),ll1),X_63)) = not(and(X_63,or(ll1,not(X_63)))) ),
inference(resolve,[$cnf( $equal(not(and(or(not(X_63),ll1),X_63)),not(and(or(ll1,not(X_63)),X_63))) )],[refute_0_572,refute_0_573]) ).
cnf(refute_0_575,plain,
not(and(or(not(X_63),ll1),X_63)) = not(and(X_63,or(ll1,not(X_63)))),
inference(resolve,[$cnf( $equal(not(and(or(ll1,not(X_63)),X_63)),not(and(X_63,or(ll1,not(X_63))))) )],[refute_0_559,refute_0_574]) ).
cnf(refute_0_576,plain,
or(and(X_63,not(ll1)),not(X_63)) = not(and(or(not(X_63),ll1),X_63)),
inference(subst,[],[refute_0_458:[bind(X,$fot(X_63)),bind(X_26,$fot(ll1)),bind(X_32,$fot(X_63))]]) ).
cnf(refute_0_577,plain,
( not(and(or(not(X_63),ll1),X_63)) != not(and(X_63,or(ll1,not(X_63))))
| or(and(X_63,not(ll1)),not(X_63)) != not(and(or(not(X_63),ll1),X_63))
| or(and(X_63,not(ll1)),not(X_63)) = not(and(X_63,or(ll1,not(X_63)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(X_63,not(ll1)),not(X_63)))),bind(Y0,$fot(not(and(or(not(X_63),ll1),X_63)))),bind(Z0,$fot(not(and(X_63,or(ll1,not(X_63))))))]]) ).
cnf(refute_0_578,plain,
( not(and(or(not(X_63),ll1),X_63)) != not(and(X_63,or(ll1,not(X_63))))
| or(and(X_63,not(ll1)),not(X_63)) = not(and(X_63,or(ll1,not(X_63)))) ),
inference(resolve,[$cnf( $equal(or(and(X_63,not(ll1)),not(X_63)),not(and(or(not(X_63),ll1),X_63))) )],[refute_0_576,refute_0_577]) ).
cnf(refute_0_579,plain,
or(and(X_63,not(ll1)),not(X_63)) = not(and(X_63,or(ll1,not(X_63)))),
inference(resolve,[$cnf( $equal(not(and(or(not(X_63),ll1),X_63)),not(and(X_63,or(ll1,not(X_63))))) )],[refute_0_575,refute_0_578]) ).
cnf(refute_0_580,plain,
( not(and(X_63,or(ll1,not(X_63)))) != not(X_63)
| or(and(X_63,not(ll1)),not(X_63)) != not(and(X_63,or(ll1,not(X_63))))
| or(and(X_63,not(ll1)),not(X_63)) = not(X_63) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(X_63,not(ll1)),not(X_63)))),bind(Y0,$fot(not(and(X_63,or(ll1,not(X_63)))))),bind(Z0,$fot(not(X_63)))]]) ).
cnf(refute_0_581,plain,
( not(and(X_63,or(ll1,not(X_63)))) != not(X_63)
| or(and(X_63,not(ll1)),not(X_63)) = not(X_63) ),
inference(resolve,[$cnf( $equal(or(and(X_63,not(ll1)),not(X_63)),not(and(X_63,or(ll1,not(X_63))))) )],[refute_0_579,refute_0_580]) ).
cnf(refute_0_582,plain,
or(and(X_63,not(ll1)),not(X_63)) = not(X_63),
inference(resolve,[$cnf( $equal(not(and(X_63,or(ll1,not(X_63)))),not(X_63)) )],[refute_0_558,refute_0_581]) ).
cnf(refute_0_583,plain,
( or(and(X_63,not(ll1)),not(X_63)) != not(X_63)
| or(and(X_63,not(ll1)),not(X_63)) != xor(X_63,ll1)
| not(X_63) = xor(X_63,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X_63,not(ll1)),not(X_63)),xor(X_63,ll1)) ),[0],$fot(not(X_63))]]) ).
cnf(refute_0_584,plain,
( or(and(X_63,not(ll1)),not(X_63)) != xor(X_63,ll1)
| not(X_63) = xor(X_63,ll1) ),
inference(resolve,[$cnf( $equal(or(and(X_63,not(ll1)),not(X_63)),not(X_63)) )],[refute_0_582,refute_0_583]) ).
cnf(refute_0_585,plain,
not(X_63) = xor(X_63,ll1),
inference(resolve,[$cnf( $equal(or(and(X_63,not(ll1)),not(X_63)),xor(X_63,ll1)) )],[refute_0_540,refute_0_584]) ).
cnf(refute_0_586,plain,
( not(X_63) != xor(X_63,ll1)
| xor(X_63,ll1) = not(X_63) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(X_63))),bind(Y0,$fot(xor(X_63,ll1)))]]) ).
cnf(refute_0_587,plain,
xor(X_63,ll1) = not(X_63),
inference(resolve,[$cnf( $equal(not(X_63),xor(X_63,ll1)) )],[refute_0_585,refute_0_586]) ).
cnf(refute_0_588,plain,
xor(a,ll1) = not(a),
inference(subst,[],[refute_0_587:[bind(X_63,$fot(a))]]) ).
cnf(refute_0_589,plain,
( xor(a,ll1) != not(a)
| xor(a,ll1) != xor(t2,xor(t2,and(t1,t2)))
| not(a) = xor(t2,xor(t2,and(t1,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,ll1),xor(t2,xor(t2,and(t1,t2)))) ),[0],$fot(not(a))]]) ).
cnf(refute_0_590,plain,
( xor(a,ll1) != xor(t2,xor(t2,and(t1,t2)))
| not(a) = xor(t2,xor(t2,and(t1,t2))) ),
inference(resolve,[$cnf( $equal(xor(a,ll1),not(a)) )],[refute_0_588,refute_0_589]) ).
cnf(refute_0_591,plain,
xor(t2,xor(t2,and(t1,t2))) = and(t1,t2),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(t2)),bind(X_335,$fot(and(t1,t2)))]]) ).
cnf(refute_0_592,plain,
( not(a) != xor(t2,xor(t2,and(t1,t2)))
| xor(t2,xor(t2,and(t1,t2))) != and(t1,t2)
| not(a) = and(t1,t2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(a),and(t1,t2)) ),[0],$fot(xor(t2,xor(t2,and(t1,t2))))]]) ).
cnf(refute_0_593,plain,
( not(a) != xor(t2,xor(t2,and(t1,t2)))
| not(a) = and(t1,t2) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t2,and(t1,t2))),and(t1,t2)) )],[refute_0_591,refute_0_592]) ).
cnf(refute_0_594,plain,
( xor(a,ll1) != xor(t2,xor(t2,and(t1,t2)))
| not(a) = and(t1,t2) ),
inference(resolve,[$cnf( $equal(not(a),xor(t2,xor(t2,and(t1,t2)))) )],[refute_0_590,refute_0_593]) ).
cnf(refute_0_595,plain,
not(a) = and(t1,t2),
inference(resolve,[$cnf( $equal(xor(a,ll1),xor(t2,xor(t2,and(t1,t2)))) )],[refute_0_535,refute_0_594]) ).
cnf(refute_0_596,plain,
( not(a) != and(t1,t2)
| and(t1,t2) = not(a) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(a))),bind(Y0,$fot(and(t1,t2)))]]) ).
cnf(refute_0_597,plain,
and(t1,t2) = not(a),
inference(resolve,[$cnf( $equal(not(a),and(t1,t2)) )],[refute_0_595,refute_0_596]) ).
cnf(refute_0_598,plain,
( and(and(t1,t2),Z) != and(t1,and(t2,Z))
| and(t1,t2) != not(a)
| and(not(a),Z) = and(t1,and(t2,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t1,t2),Z),and(t1,and(t2,Z))) ),[0,0],$fot(not(a))]]) ).
cnf(refute_0_599,plain,
( and(and(t1,t2),Z) != and(t1,and(t2,Z))
| and(not(a),Z) = and(t1,and(t2,Z)) ),
inference(resolve,[$cnf( $equal(and(t1,t2),not(a)) )],[refute_0_597,refute_0_598]) ).
cnf(refute_0_600,plain,
and(not(a),Z) = and(t1,and(t2,Z)),
inference(resolve,[$cnf( $equal(and(and(t1,t2),Z),and(t1,and(t2,Z))) )],[refute_0_308,refute_0_599]) ).
cnf(refute_0_601,plain,
and(not(a),xor(t2,t7)) = and(t1,and(t2,xor(t2,t7))),
inference(subst,[],[refute_0_600:[bind(Z,$fot(xor(t2,t7)))]]) ).
cnf(refute_0_602,plain,
and(and(t2,t3),X_222) = and(t2,and(t3,X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(t2)),bind(Y,$fot(t3)),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_603,plain,
not(not(and(t2,t3))) = and(t2,t3),
inference(subst,[],[not_involution:[bind(X,$fot(and(t2,t3)))]]) ).
cnf(refute_0_604,plain,
( not(and(t2,t3)) != t4
| not(not(and(t2,t3))) != and(t2,t3)
| not(t4) = and(t2,t3) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(t2,t3))),and(t2,t3)) ),[0,0],$fot(t4)]]) ).
cnf(refute_0_605,plain,
( not(not(and(t2,t3))) != and(t2,t3)
| not(t4) = and(t2,t3) ),
inference(resolve,[$cnf( $equal(not(and(t2,t3)),t4) )],[t4,refute_0_604]) ).
cnf(refute_0_606,plain,
not(t4) = and(t2,t3),
inference(resolve,[$cnf( $equal(not(not(and(t2,t3))),and(t2,t3)) )],[refute_0_603,refute_0_605]) ).
cnf(refute_0_607,plain,
( not(t4) != and(t2,t3)
| and(t2,t3) = not(t4) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t4))),bind(Y0,$fot(and(t2,t3)))]]) ).
cnf(refute_0_608,plain,
and(t2,t3) = not(t4),
inference(resolve,[$cnf( $equal(not(t4),and(t2,t3)) )],[refute_0_606,refute_0_607]) ).
cnf(refute_0_609,plain,
( and(and(t2,t3),X_222) != and(t2,and(t3,X_222))
| and(t2,t3) != not(t4)
| and(not(t4),X_222) = and(t2,and(t3,X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t2,t3),X_222),and(t2,and(t3,X_222))) ),[0,0],$fot(not(t4))]]) ).
cnf(refute_0_610,plain,
( and(and(t2,t3),X_222) != and(t2,and(t3,X_222))
| and(not(t4),X_222) = and(t2,and(t3,X_222)) ),
inference(resolve,[$cnf( $equal(and(t2,t3),not(t4)) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
and(not(t4),X_222) = and(t2,and(t3,X_222)),
inference(resolve,[$cnf( $equal(and(and(t2,t3),X_222),and(t2,and(t3,X_222))) )],[refute_0_602,refute_0_610]) ).
cnf(refute_0_612,plain,
and(not(t4),or(cin,sum)) = and(t2,and(t3,or(cin,sum))),
inference(subst,[],[refute_0_611:[bind(X_222,$fot(or(cin,sum)))]]) ).
cnf(refute_0_613,plain,
or(and(t3,not(xor(t4,t7))),and(not(t3),xor(t4,t7))) = xor(t3,xor(t4,t7)),
inference(subst,[],[refute_0_9:[bind(X,$fot(t3)),bind(Y,$fot(xor(t4,t7)))]]) ).
cnf(refute_0_614,plain,
and(or(t3,not(xor(t4,t7))),not(or(not(xor(t4,t7)),t3))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(not(xor(t4,t7)))),bind(X_28,$fot(t3))]]) ).
cnf(refute_0_615,plain,
or(or(t3,not(t4)),X_39) = or(t3,or(not(t4),X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(t3)),bind(Y,$fot(not(t4))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_616,plain,
or(t3,and(t2,t3)) = t3,
inference(subst,[],[refute_0_222:[bind(X_13,$fot(t3)),bind(X_14,$fot(t2))]]) ).
cnf(refute_0_617,plain,
( and(t2,t3) != not(t4)
| or(t3,and(t2,t3)) != t3
| or(t3,not(t4)) = t3 ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,and(t2,t3)),t3) ),[0,1],$fot(not(t4))]]) ).
cnf(refute_0_618,plain,
( or(t3,and(t2,t3)) != t3
| or(t3,not(t4)) = t3 ),
inference(resolve,[$cnf( $equal(and(t2,t3),not(t4)) )],[refute_0_608,refute_0_617]) ).
cnf(refute_0_619,plain,
or(t3,not(t4)) = t3,
inference(resolve,[$cnf( $equal(or(t3,and(t2,t3)),t3) )],[refute_0_616,refute_0_618]) ).
cnf(refute_0_620,plain,
( or(or(t3,not(t4)),X_39) != or(t3,or(not(t4),X_39))
| or(t3,not(t4)) != t3
| or(t3,X_39) = or(t3,or(not(t4),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t3,not(t4)),X_39),or(t3,or(not(t4),X_39))) ),[0,0],$fot(t3)]]) ).
cnf(refute_0_621,plain,
( or(or(t3,not(t4)),X_39) != or(t3,or(not(t4),X_39))
| or(t3,X_39) = or(t3,or(not(t4),X_39)) ),
inference(resolve,[$cnf( $equal(or(t3,not(t4)),t3) )],[refute_0_619,refute_0_620]) ).
cnf(refute_0_622,plain,
or(t3,X_39) = or(t3,or(not(t4),X_39)),
inference(resolve,[$cnf( $equal(or(or(t3,not(t4)),X_39),or(t3,or(not(t4),X_39))) )],[refute_0_615,refute_0_621]) ).
cnf(refute_0_623,plain,
or(t3,or(not(not(t4)),X_39)) = or(t3,or(not(t4),or(not(not(t4)),X_39))),
inference(subst,[],[refute_0_622:[bind(X_39,$fot(or(not(not(t4)),X_39)))]]) ).
cnf(refute_0_624,plain,
or(or(X_37,not(X_37)),X_39) = or(X_37,or(not(X_37),X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(X_37)),bind(Y,$fot(not(X_37))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_625,plain,
or(X_37,not(X_37)) = ll1,
inference(subst,[],[or_complement:[bind(X,$fot(X_37))]]) ).
cnf(refute_0_626,plain,
( or(X_37,not(X_37)) != ll1
| or(or(X_37,not(X_37)),X_39) != or(X_37,or(not(X_37),X_39))
| or(ll1,X_39) = or(X_37,or(not(X_37),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(X_37,not(X_37)),X_39),or(X_37,or(not(X_37),X_39))) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_627,plain,
( or(or(X_37,not(X_37)),X_39) != or(X_37,or(not(X_37),X_39))
| or(ll1,X_39) = or(X_37,or(not(X_37),X_39)) ),
inference(resolve,[$cnf( $equal(or(X_37,not(X_37)),ll1) )],[refute_0_625,refute_0_626]) ).
cnf(refute_0_628,plain,
or(ll1,X_39) = or(X_37,or(not(X_37),X_39)),
inference(resolve,[$cnf( $equal(or(or(X_37,not(X_37)),X_39),or(X_37,or(not(X_37),X_39))) )],[refute_0_624,refute_0_627]) ).
cnf(refute_0_629,plain,
or(ll1,X_39) = ll1,
inference(subst,[],[refute_0_546:[bind(X_14,$fot(X_39))]]) ).
cnf(refute_0_630,plain,
( or(ll1,X_39) != ll1
| or(ll1,X_39) != or(X_37,or(not(X_37),X_39))
| ll1 = or(X_37,or(not(X_37),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll1,X_39),or(X_37,or(not(X_37),X_39))) ),[0],$fot(ll1)]]) ).
cnf(refute_0_631,plain,
( or(ll1,X_39) != or(X_37,or(not(X_37),X_39))
| ll1 = or(X_37,or(not(X_37),X_39)) ),
inference(resolve,[$cnf( $equal(or(ll1,X_39),ll1) )],[refute_0_629,refute_0_630]) ).
cnf(refute_0_632,plain,
ll1 = or(X_37,or(not(X_37),X_39)),
inference(resolve,[$cnf( $equal(or(ll1,X_39),or(X_37,or(not(X_37),X_39))) )],[refute_0_628,refute_0_631]) ).
cnf(refute_0_633,plain,
ll1 = or(not(t4),or(not(not(t4)),X_39)),
inference(subst,[],[refute_0_632:[bind(X_37,$fot(not(t4)))]]) ).
cnf(refute_0_634,plain,
( ll1 != or(not(t4),or(not(not(t4)),X_39))
| or(not(t4),or(not(not(t4)),X_39)) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(not(t4),or(not(not(t4)),X_39))))]]) ).
cnf(refute_0_635,plain,
or(not(t4),or(not(not(t4)),X_39)) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(not(t4),or(not(not(t4)),X_39))) )],[refute_0_633,refute_0_634]) ).
cnf(refute_0_636,plain,
( or(not(t4),or(not(not(t4)),X_39)) != ll1
| or(t3,or(not(not(t4)),X_39)) != or(t3,or(not(t4),or(not(not(t4)),X_39)))
| or(t3,or(not(not(t4)),X_39)) = or(t3,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,or(not(not(t4)),X_39)),or(t3,or(not(t4),or(not(not(t4)),X_39)))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_637,plain,
( or(t3,or(not(not(t4)),X_39)) != or(t3,or(not(t4),or(not(not(t4)),X_39)))
| or(t3,or(not(not(t4)),X_39)) = or(t3,ll1) ),
inference(resolve,[$cnf( $equal(or(not(t4),or(not(not(t4)),X_39)),ll1) )],[refute_0_635,refute_0_636]) ).
cnf(refute_0_638,plain,
or(t3,or(not(not(t4)),X_39)) = or(t3,ll1),
inference(resolve,[$cnf( $equal(or(t3,or(not(not(t4)),X_39)),or(t3,or(not(t4),or(not(not(t4)),X_39)))) )],[refute_0_623,refute_0_637]) ).
cnf(refute_0_639,plain,
not(not(t4)) = t4,
inference(subst,[],[not_involution:[bind(X,$fot(t4))]]) ).
cnf(refute_0_640,plain,
or(not(not(t4)),X_39) = or(not(not(t4)),X_39),
introduced(tautology,[refl,[$fot(or(not(not(t4)),X_39))]]) ).
cnf(refute_0_641,plain,
( not(not(t4)) != t4
| or(not(not(t4)),X_39) != or(not(not(t4)),X_39)
| or(not(not(t4)),X_39) = or(t4,X_39) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(not(t4)),X_39),or(not(not(t4)),X_39)) ),[1,0],$fot(t4)]]) ).
cnf(refute_0_642,plain,
( not(not(t4)) != t4
| or(not(not(t4)),X_39) = or(t4,X_39) ),
inference(resolve,[$cnf( $equal(or(not(not(t4)),X_39),or(not(not(t4)),X_39)) )],[refute_0_640,refute_0_641]) ).
cnf(refute_0_643,plain,
or(not(not(t4)),X_39) = or(t4,X_39),
inference(resolve,[$cnf( $equal(not(not(t4)),t4) )],[refute_0_639,refute_0_642]) ).
cnf(refute_0_644,plain,
or(t3,or(not(not(t4)),X_39)) = or(t3,or(not(not(t4)),X_39)),
introduced(tautology,[refl,[$fot(or(t3,or(not(not(t4)),X_39)))]]) ).
cnf(refute_0_645,plain,
( or(not(not(t4)),X_39) != or(t4,X_39)
| or(t3,or(not(not(t4)),X_39)) != or(t3,or(not(not(t4)),X_39))
| or(t3,or(not(not(t4)),X_39)) = or(t3,or(t4,X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,or(not(not(t4)),X_39)),or(t3,or(not(not(t4)),X_39))) ),[1,1],$fot(or(t4,X_39))]]) ).
cnf(refute_0_646,plain,
( or(not(not(t4)),X_39) != or(t4,X_39)
| or(t3,or(not(not(t4)),X_39)) = or(t3,or(t4,X_39)) ),
inference(resolve,[$cnf( $equal(or(t3,or(not(not(t4)),X_39)),or(t3,or(not(not(t4)),X_39))) )],[refute_0_644,refute_0_645]) ).
cnf(refute_0_647,plain,
or(t3,or(not(not(t4)),X_39)) = or(t3,or(t4,X_39)),
inference(resolve,[$cnf( $equal(or(not(not(t4)),X_39),or(t4,X_39)) )],[refute_0_643,refute_0_646]) ).
cnf(refute_0_648,plain,
( or(t3,or(not(not(t4)),X_39)) != or(t3,ll1)
| or(t3,or(not(not(t4)),X_39)) != or(t3,or(t4,X_39))
| or(t3,or(t4,X_39)) = or(t3,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,or(not(not(t4)),X_39)),or(t3,ll1)) ),[0],$fot(or(t3,or(t4,X_39)))]]) ).
cnf(refute_0_649,plain,
( or(t3,or(not(not(t4)),X_39)) != or(t3,ll1)
| or(t3,or(t4,X_39)) = or(t3,ll1) ),
inference(resolve,[$cnf( $equal(or(t3,or(not(not(t4)),X_39)),or(t3,or(t4,X_39))) )],[refute_0_647,refute_0_648]) ).
cnf(refute_0_650,plain,
or(t3,ll1) = ll1,
inference(subst,[],[or_boundedness:[bind(X,$fot(t3))]]) ).
cnf(refute_0_651,plain,
( or(t3,ll1) != ll1
| or(t3,or(t4,X_39)) != or(t3,ll1)
| or(t3,or(t4,X_39)) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,or(t4,X_39)),or(t3,ll1)) ),[1],$fot(ll1)]]) ).
cnf(refute_0_652,plain,
( or(t3,or(t4,X_39)) != or(t3,ll1)
| or(t3,or(t4,X_39)) = ll1 ),
inference(resolve,[$cnf( $equal(or(t3,ll1),ll1) )],[refute_0_650,refute_0_651]) ).
cnf(refute_0_653,plain,
( or(t3,or(not(not(t4)),X_39)) != or(t3,ll1)
| or(t3,or(t4,X_39)) = ll1 ),
inference(resolve,[$cnf( $equal(or(t3,or(t4,X_39)),or(t3,ll1)) )],[refute_0_649,refute_0_652]) ).
cnf(refute_0_654,plain,
or(t3,or(t4,X_39)) = ll1,
inference(resolve,[$cnf( $equal(or(t3,or(not(not(t4)),X_39)),or(t3,ll1)) )],[refute_0_638,refute_0_653]) ).
cnf(refute_0_655,plain,
or(t3,or(t4,not(t7))) = ll1,
inference(subst,[],[refute_0_654:[bind(X_39,$fot(not(t7)))]]) ).
cnf(refute_0_656,plain,
not(and(not(t4),t7)) = not(and(t7,not(t4))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(t7)),bind(X_32,$fot(not(t4)))]]) ).
cnf(refute_0_657,plain,
or(and(t4,not(t7)),and(not(t4),t7)) = xor(t4,t7),
inference(subst,[],[refute_0_9:[bind(X,$fot(t4)),bind(Y,$fot(t7))]]) ).
cnf(refute_0_658,plain,
and(and(t4,t5),X_222) = and(t4,and(t5,X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(t4)),bind(Y,$fot(t5)),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_659,plain,
not(not(and(t4,t5))) = and(t4,t5),
inference(subst,[],[not_involution:[bind(X,$fot(and(t4,t5)))]]) ).
cnf(refute_0_660,plain,
( not(and(t4,t5)) != t6
| not(not(and(t4,t5))) != and(t4,t5)
| not(t6) = and(t4,t5) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(t4,t5))),and(t4,t5)) ),[0,0],$fot(t6)]]) ).
cnf(refute_0_661,plain,
( not(not(and(t4,t5))) != and(t4,t5)
| not(t6) = and(t4,t5) ),
inference(resolve,[$cnf( $equal(not(and(t4,t5)),t6) )],[t6,refute_0_660]) ).
cnf(refute_0_662,plain,
not(t6) = and(t4,t5),
inference(resolve,[$cnf( $equal(not(not(and(t4,t5))),and(t4,t5)) )],[refute_0_659,refute_0_661]) ).
cnf(refute_0_663,plain,
( not(t6) != and(t4,t5)
| and(t4,t5) = not(t6) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t6))),bind(Y0,$fot(and(t4,t5)))]]) ).
cnf(refute_0_664,plain,
and(t4,t5) = not(t6),
inference(resolve,[$cnf( $equal(not(t6),and(t4,t5)) )],[refute_0_662,refute_0_663]) ).
cnf(refute_0_665,plain,
( and(and(t4,t5),X_222) != and(t4,and(t5,X_222))
| and(t4,t5) != not(t6)
| and(not(t6),X_222) = and(t4,and(t5,X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t4,t5),X_222),and(t4,and(t5,X_222))) ),[0,0],$fot(not(t6))]]) ).
cnf(refute_0_666,plain,
( and(and(t4,t5),X_222) != and(t4,and(t5,X_222))
| and(not(t6),X_222) = and(t4,and(t5,X_222)) ),
inference(resolve,[$cnf( $equal(and(t4,t5),not(t6)) )],[refute_0_664,refute_0_665]) ).
cnf(refute_0_667,plain,
and(not(t6),X_222) = and(t4,and(t5,X_222)),
inference(resolve,[$cnf( $equal(and(and(t4,t5),X_222),and(t4,and(t5,X_222))) )],[refute_0_658,refute_0_666]) ).
cnf(refute_0_668,plain,
and(not(t6),not(t7)) = and(t4,and(t5,not(t7))),
inference(subst,[],[refute_0_667:[bind(X_222,$fot(not(t7)))]]) ).
cnf(refute_0_669,plain,
( and(not(t6),not(t7)) != and(t4,and(t5,not(t7)))
| and(t5,not(t7)) != not(t7)
| and(not(t6),not(t7)) = and(t4,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),not(t7)),and(t4,and(t5,not(t7)))) ),[1,1],$fot(not(t7))]]) ).
cnf(refute_0_670,plain,
( and(not(t6),not(t7)) != and(t4,and(t5,not(t7)))
| and(not(t6),not(t7)) = and(t4,not(t7)) ),
inference(resolve,[$cnf( $equal(and(t5,not(t7)),not(t7)) )],[refute_0_233,refute_0_669]) ).
cnf(refute_0_671,plain,
and(not(t6),not(t7)) = and(t4,not(t7)),
inference(resolve,[$cnf( $equal(and(not(t6),not(t7)),and(t4,and(t5,not(t7)))) )],[refute_0_668,refute_0_670]) ).
cnf(refute_0_672,plain,
or(or(t6,not(cin)),X_39) = or(t6,or(not(cin),X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(t6)),bind(Y,$fot(not(cin))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_673,plain,
not(and(cin,not(t6))) = or(not(cin),not(not(t6))),
inference(subst,[],[and_demorgan:[bind(X,$fot(cin)),bind(Y,$fot(not(t6)))]]) ).
cnf(refute_0_674,plain,
and(and(cin,t4),not(and(cin,t4))) = ll0,
inference(subst,[],[and_complement:[bind(X,$fot(and(cin,t4)))]]) ).
cnf(refute_0_675,plain,
and(t4,cin) = and(cin,t4),
inference(subst,[],[refute_0_116:[bind(X,$fot(cin)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_676,plain,
not(and(t4,cin)) = not(and(t4,cin)),
introduced(tautology,[refl,[$fot(not(and(t4,cin)))]]) ).
cnf(refute_0_677,plain,
( and(t4,cin) != and(cin,t4)
| not(and(t4,cin)) != not(and(t4,cin))
| not(and(t4,cin)) = not(and(cin,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(t4,cin)),not(and(t4,cin))) ),[1,0],$fot(and(cin,t4))]]) ).
cnf(refute_0_678,plain,
( and(t4,cin) != and(cin,t4)
| not(and(t4,cin)) = not(and(cin,t4)) ),
inference(resolve,[$cnf( $equal(not(and(t4,cin)),not(and(t4,cin))) )],[refute_0_676,refute_0_677]) ).
cnf(refute_0_679,plain,
not(and(t4,cin)) = not(and(cin,t4)),
inference(resolve,[$cnf( $equal(and(t4,cin),and(cin,t4)) )],[refute_0_675,refute_0_678]) ).
cnf(refute_0_680,plain,
( not(and(t4,cin)) != not(and(cin,t4))
| not(and(t4,cin)) != t5
| not(and(cin,t4)) = t5 ),
introduced(tautology,[equality,[$cnf( $equal(not(and(t4,cin)),t5) ),[0],$fot(not(and(cin,t4)))]]) ).
cnf(refute_0_681,plain,
( not(and(t4,cin)) != t5
| not(and(cin,t4)) = t5 ),
inference(resolve,[$cnf( $equal(not(and(t4,cin)),not(and(cin,t4))) )],[refute_0_679,refute_0_680]) ).
cnf(refute_0_682,plain,
not(and(cin,t4)) = t5,
inference(resolve,[$cnf( $equal(not(and(t4,cin)),t5) )],[t5,refute_0_681]) ).
cnf(refute_0_683,plain,
( and(and(cin,t4),not(and(cin,t4))) != ll0
| not(and(cin,t4)) != t5
| and(and(cin,t4),t5) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(cin,t4),not(and(cin,t4))),ll0) ),[0,1],$fot(t5)]]) ).
cnf(refute_0_684,plain,
( and(and(cin,t4),not(and(cin,t4))) != ll0
| and(and(cin,t4),t5) = ll0 ),
inference(resolve,[$cnf( $equal(not(and(cin,t4)),t5) )],[refute_0_682,refute_0_683]) ).
cnf(refute_0_685,plain,
and(and(cin,t4),t5) = ll0,
inference(resolve,[$cnf( $equal(and(and(cin,t4),not(and(cin,t4))),ll0) )],[refute_0_674,refute_0_684]) ).
cnf(refute_0_686,plain,
and(and(cin,t4),t5) = and(cin,and(t4,t5)),
inference(subst,[],[and_associative:[bind(X,$fot(cin)),bind(Y,$fot(t4)),bind(Z,$fot(t5))]]) ).
cnf(refute_0_687,plain,
( and(and(cin,t4),t5) != and(cin,and(t4,t5))
| and(and(cin,t4),t5) != ll0
| and(cin,and(t4,t5)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(cin,t4),t5),ll0) ),[0],$fot(and(cin,and(t4,t5)))]]) ).
cnf(refute_0_688,plain,
( and(and(cin,t4),t5) != ll0
| and(cin,and(t4,t5)) = ll0 ),
inference(resolve,[$cnf( $equal(and(and(cin,t4),t5),and(cin,and(t4,t5))) )],[refute_0_686,refute_0_687]) ).
cnf(refute_0_689,plain,
and(cin,and(t4,t5)) = ll0,
inference(resolve,[$cnf( $equal(and(and(cin,t4),t5),ll0) )],[refute_0_685,refute_0_688]) ).
cnf(refute_0_690,plain,
and(cin,and(t4,t5)) = and(cin,and(t4,t5)),
introduced(tautology,[refl,[$fot(and(cin,and(t4,t5)))]]) ).
cnf(refute_0_691,plain,
( and(cin,and(t4,t5)) != and(cin,and(t4,t5))
| and(t4,t5) != not(t6)
| and(cin,and(t4,t5)) = and(cin,not(t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,and(t4,t5)),and(cin,and(t4,t5))) ),[1,1],$fot(not(t6))]]) ).
cnf(refute_0_692,plain,
( and(t4,t5) != not(t6)
| and(cin,and(t4,t5)) = and(cin,not(t6)) ),
inference(resolve,[$cnf( $equal(and(cin,and(t4,t5)),and(cin,and(t4,t5))) )],[refute_0_690,refute_0_691]) ).
cnf(refute_0_693,plain,
and(cin,and(t4,t5)) = and(cin,not(t6)),
inference(resolve,[$cnf( $equal(and(t4,t5),not(t6)) )],[refute_0_664,refute_0_692]) ).
cnf(refute_0_694,plain,
( and(cin,and(t4,t5)) != and(cin,not(t6))
| and(cin,and(t4,t5)) != ll0
| and(cin,not(t6)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,and(t4,t5)),ll0) ),[0],$fot(and(cin,not(t6)))]]) ).
cnf(refute_0_695,plain,
( and(cin,and(t4,t5)) != ll0
| and(cin,not(t6)) = ll0 ),
inference(resolve,[$cnf( $equal(and(cin,and(t4,t5)),and(cin,not(t6))) )],[refute_0_693,refute_0_694]) ).
cnf(refute_0_696,plain,
and(cin,not(t6)) = ll0,
inference(resolve,[$cnf( $equal(and(cin,and(t4,t5)),ll0) )],[refute_0_689,refute_0_695]) ).
cnf(refute_0_697,plain,
( and(cin,not(t6)) != ll0
| not(and(cin,not(t6))) != or(not(cin),not(not(t6)))
| not(ll0) = or(not(cin),not(not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(cin,not(t6))),or(not(cin),not(not(t6)))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_698,plain,
( not(and(cin,not(t6))) != or(not(cin),not(not(t6)))
| not(ll0) = or(not(cin),not(not(t6))) ),
inference(resolve,[$cnf( $equal(and(cin,not(t6)),ll0) )],[refute_0_696,refute_0_697]) ).
cnf(refute_0_699,plain,
not(ll0) = or(not(cin),not(not(t6))),
inference(resolve,[$cnf( $equal(not(and(cin,not(t6))),or(not(cin),not(not(t6)))) )],[refute_0_673,refute_0_698]) ).
cnf(refute_0_700,plain,
( not(ll0) != ll1
| not(ll0) != or(not(cin),not(not(t6)))
| ll1 = or(not(cin),not(not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(ll0),or(not(cin),not(not(t6)))) ),[0],$fot(ll1)]]) ).
cnf(refute_0_701,plain,
( not(ll0) != or(not(cin),not(not(t6)))
| ll1 = or(not(cin),not(not(t6))) ),
inference(resolve,[$cnf( $equal(not(ll0),ll1) )],[ll0_inverse,refute_0_700]) ).
cnf(refute_0_702,plain,
or(not(cin),t6) = or(t6,not(cin)),
inference(subst,[],[refute_0_5:[bind(X,$fot(t6)),bind(Y,$fot(not(cin)))]]) ).
cnf(refute_0_703,plain,
not(and(cin,not(t6))) = or(not(cin),t6),
inference(subst,[],[refute_0_435:[bind(X_29,$fot(cin)),bind(X_30,$fot(t6))]]) ).
cnf(refute_0_704,plain,
( not(and(cin,not(t6))) != or(not(cin),t6)
| or(not(cin),t6) != or(t6,not(cin))
| not(and(cin,not(t6))) = or(t6,not(cin)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(cin,not(t6))))),bind(Y0,$fot(or(not(cin),t6))),bind(Z0,$fot(or(t6,not(cin))))]]) ).
cnf(refute_0_705,plain,
( or(not(cin),t6) != or(t6,not(cin))
| not(and(cin,not(t6))) = or(t6,not(cin)) ),
inference(resolve,[$cnf( $equal(not(and(cin,not(t6))),or(not(cin),t6)) )],[refute_0_703,refute_0_704]) ).
cnf(refute_0_706,plain,
not(and(cin,not(t6))) = or(t6,not(cin)),
inference(resolve,[$cnf( $equal(or(not(cin),t6),or(t6,not(cin))) )],[refute_0_702,refute_0_705]) ).
cnf(refute_0_707,plain,
or(not(cin),not(not(t6))) = not(and(cin,not(t6))),
inference(subst,[],[refute_0_147:[bind(X,$fot(cin)),bind(Y,$fot(not(t6)))]]) ).
cnf(refute_0_708,plain,
( not(and(cin,not(t6))) != or(t6,not(cin))
| or(not(cin),not(not(t6))) != not(and(cin,not(t6)))
| or(not(cin),not(not(t6))) = or(t6,not(cin)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(cin),not(not(t6))))),bind(Y0,$fot(not(and(cin,not(t6))))),bind(Z0,$fot(or(t6,not(cin))))]]) ).
cnf(refute_0_709,plain,
( not(and(cin,not(t6))) != or(t6,not(cin))
| or(not(cin),not(not(t6))) = or(t6,not(cin)) ),
inference(resolve,[$cnf( $equal(or(not(cin),not(not(t6))),not(and(cin,not(t6)))) )],[refute_0_707,refute_0_708]) ).
cnf(refute_0_710,plain,
or(not(cin),not(not(t6))) = or(t6,not(cin)),
inference(resolve,[$cnf( $equal(not(and(cin,not(t6))),or(t6,not(cin))) )],[refute_0_706,refute_0_709]) ).
cnf(refute_0_711,plain,
( ll1 != or(not(cin),not(not(t6)))
| or(not(cin),not(not(t6))) != or(t6,not(cin))
| ll1 = or(t6,not(cin)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll1,or(t6,not(cin))) ),[0],$fot(or(not(cin),not(not(t6))))]]) ).
cnf(refute_0_712,plain,
( ll1 != or(not(cin),not(not(t6)))
| ll1 = or(t6,not(cin)) ),
inference(resolve,[$cnf( $equal(or(not(cin),not(not(t6))),or(t6,not(cin))) )],[refute_0_710,refute_0_711]) ).
cnf(refute_0_713,plain,
( not(ll0) != or(not(cin),not(not(t6)))
| ll1 = or(t6,not(cin)) ),
inference(resolve,[$cnf( $equal(ll1,or(not(cin),not(not(t6)))) )],[refute_0_701,refute_0_712]) ).
cnf(refute_0_714,plain,
ll1 = or(t6,not(cin)),
inference(resolve,[$cnf( $equal(not(ll0),or(not(cin),not(not(t6)))) )],[refute_0_699,refute_0_713]) ).
cnf(refute_0_715,plain,
( ll1 != or(t6,not(cin))
| or(t6,not(cin)) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(t6,not(cin))))]]) ).
cnf(refute_0_716,plain,
or(t6,not(cin)) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(t6,not(cin))) )],[refute_0_714,refute_0_715]) ).
cnf(refute_0_717,plain,
( or(or(t6,not(cin)),X_39) != or(t6,or(not(cin),X_39))
| or(t6,not(cin)) != ll1
| or(ll1,X_39) = or(t6,or(not(cin),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t6,not(cin)),X_39),or(t6,or(not(cin),X_39))) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_718,plain,
( or(or(t6,not(cin)),X_39) != or(t6,or(not(cin),X_39))
| or(ll1,X_39) = or(t6,or(not(cin),X_39)) ),
inference(resolve,[$cnf( $equal(or(t6,not(cin)),ll1) )],[refute_0_716,refute_0_717]) ).
cnf(refute_0_719,plain,
or(ll1,X_39) = or(t6,or(not(cin),X_39)),
inference(resolve,[$cnf( $equal(or(or(t6,not(cin)),X_39),or(t6,or(not(cin),X_39))) )],[refute_0_672,refute_0_718]) ).
cnf(refute_0_720,plain,
( or(ll1,X_39) != ll1
| or(ll1,X_39) != or(t6,or(not(cin),X_39))
| ll1 = or(t6,or(not(cin),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll1,X_39),or(t6,or(not(cin),X_39))) ),[0],$fot(ll1)]]) ).
cnf(refute_0_721,plain,
( or(ll1,X_39) != or(t6,or(not(cin),X_39))
| ll1 = or(t6,or(not(cin),X_39)) ),
inference(resolve,[$cnf( $equal(or(ll1,X_39),ll1) )],[refute_0_629,refute_0_720]) ).
cnf(refute_0_722,plain,
ll1 = or(t6,or(not(cin),X_39)),
inference(resolve,[$cnf( $equal(or(ll1,X_39),or(t6,or(not(cin),X_39))) )],[refute_0_719,refute_0_721]) ).
cnf(refute_0_723,plain,
ll1 = or(t6,or(not(cin),X_45)),
inference(subst,[],[refute_0_722:[bind(X_39,$fot(X_45))]]) ).
cnf(refute_0_724,plain,
or(X_45,not(cin)) = or(not(cin),X_45),
inference(subst,[],[or_commutative:[bind(X,$fot(X_45)),bind(Y,$fot(not(cin)))]]) ).
cnf(refute_0_725,plain,
( or(X_45,not(cin)) != or(not(cin),X_45)
| or(not(cin),X_45) = or(X_45,not(cin)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(X_45,not(cin)))),bind(Y0,$fot(or(not(cin),X_45)))]]) ).
cnf(refute_0_726,plain,
or(not(cin),X_45) = or(X_45,not(cin)),
inference(resolve,[$cnf( $equal(or(X_45,not(cin)),or(not(cin),X_45)) )],[refute_0_724,refute_0_725]) ).
cnf(refute_0_727,plain,
( ll1 != or(t6,or(not(cin),X_45))
| or(not(cin),X_45) != or(X_45,not(cin))
| ll1 = or(t6,or(X_45,not(cin))) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t6,or(not(cin),X_45))) ),[1,1],$fot(or(X_45,not(cin)))]]) ).
cnf(refute_0_728,plain,
( ll1 != or(t6,or(not(cin),X_45))
| ll1 = or(t6,or(X_45,not(cin))) ),
inference(resolve,[$cnf( $equal(or(not(cin),X_45),or(X_45,not(cin))) )],[refute_0_726,refute_0_727]) ).
cnf(refute_0_729,plain,
ll1 = or(t6,or(X_45,not(cin))),
inference(resolve,[$cnf( $equal(ll1,or(t6,or(not(cin),X_45))) )],[refute_0_723,refute_0_728]) ).
cnf(refute_0_730,plain,
ll1 = or(t6,or(t7,not(cin))),
inference(subst,[],[refute_0_729:[bind(X_45,$fot(t7))]]) ).
cnf(refute_0_731,plain,
or(t7,and(t7,not(cin))) = t7,
inference(subst,[],[or_absorption:[bind(X,$fot(t7)),bind(Y,$fot(not(cin)))]]) ).
cnf(refute_0_732,plain,
not(or(cin,not(t7))) = not(or(not(t7),cin)),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(not(t7))),bind(X_26,$fot(cin))]]) ).
cnf(refute_0_733,plain,
or(cin,and(cin,t5)) = cin,
inference(subst,[],[or_absorption:[bind(X,$fot(cin)),bind(Y,$fot(t5))]]) ).
cnf(refute_0_734,plain,
( and(cin,t5) != not(t7)
| or(cin,and(cin,t5)) != cin
| or(cin,not(t7)) = cin ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,and(cin,t5)),cin) ),[0,1],$fot(not(t7))]]) ).
cnf(refute_0_735,plain,
( or(cin,and(cin,t5)) != cin
| or(cin,not(t7)) = cin ),
inference(resolve,[$cnf( $equal(and(cin,t5),not(t7)) )],[refute_0_200,refute_0_734]) ).
cnf(refute_0_736,plain,
or(cin,not(t7)) = cin,
inference(resolve,[$cnf( $equal(or(cin,and(cin,t5)),cin) )],[refute_0_733,refute_0_735]) ).
cnf(refute_0_737,plain,
( not(or(cin,not(t7))) != not(or(not(t7),cin))
| or(cin,not(t7)) != cin
| not(cin) = not(or(not(t7),cin)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(cin,not(t7))),not(or(not(t7),cin))) ),[0,0],$fot(cin)]]) ).
cnf(refute_0_738,plain,
( not(or(cin,not(t7))) != not(or(not(t7),cin))
| not(cin) = not(or(not(t7),cin)) ),
inference(resolve,[$cnf( $equal(or(cin,not(t7)),cin) )],[refute_0_736,refute_0_737]) ).
cnf(refute_0_739,plain,
not(cin) = not(or(not(t7),cin)),
inference(resolve,[$cnf( $equal(not(or(cin,not(t7))),not(or(not(t7),cin))) )],[refute_0_732,refute_0_738]) ).
cnf(refute_0_740,plain,
not(or(not(t7),cin)) = and(t7,not(cin)),
inference(subst,[],[refute_0_159:[bind(X,$fot(t7)),bind(X_26,$fot(cin))]]) ).
cnf(refute_0_741,plain,
( not(cin) != not(or(not(t7),cin))
| not(or(not(t7),cin)) != and(t7,not(cin))
| not(cin) = and(t7,not(cin)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(cin),and(t7,not(cin))) ),[0],$fot(not(or(not(t7),cin)))]]) ).
cnf(refute_0_742,plain,
( not(cin) != not(or(not(t7),cin))
| not(cin) = and(t7,not(cin)) ),
inference(resolve,[$cnf( $equal(not(or(not(t7),cin)),and(t7,not(cin))) )],[refute_0_740,refute_0_741]) ).
cnf(refute_0_743,plain,
not(cin) = and(t7,not(cin)),
inference(resolve,[$cnf( $equal(not(cin),not(or(not(t7),cin))) )],[refute_0_739,refute_0_742]) ).
cnf(refute_0_744,plain,
( not(cin) != and(t7,not(cin))
| and(t7,not(cin)) = not(cin) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(cin))),bind(Y0,$fot(and(t7,not(cin))))]]) ).
cnf(refute_0_745,plain,
and(t7,not(cin)) = not(cin),
inference(resolve,[$cnf( $equal(not(cin),and(t7,not(cin))) )],[refute_0_743,refute_0_744]) ).
cnf(refute_0_746,plain,
( and(t7,not(cin)) != not(cin)
| or(t7,and(t7,not(cin))) != t7
| or(t7,not(cin)) = t7 ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,and(t7,not(cin))),t7) ),[0,1],$fot(not(cin))]]) ).
cnf(refute_0_747,plain,
( or(t7,and(t7,not(cin))) != t7
| or(t7,not(cin)) = t7 ),
inference(resolve,[$cnf( $equal(and(t7,not(cin)),not(cin)) )],[refute_0_745,refute_0_746]) ).
cnf(refute_0_748,plain,
or(t7,not(cin)) = t7,
inference(resolve,[$cnf( $equal(or(t7,and(t7,not(cin))),t7) )],[refute_0_731,refute_0_747]) ).
cnf(refute_0_749,plain,
( ll1 != or(t6,or(t7,not(cin)))
| or(t7,not(cin)) != t7
| ll1 = or(t6,t7) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t6,or(t7,not(cin)))) ),[1,1],$fot(t7)]]) ).
cnf(refute_0_750,plain,
( ll1 != or(t6,or(t7,not(cin)))
| ll1 = or(t6,t7) ),
inference(resolve,[$cnf( $equal(or(t7,not(cin)),t7) )],[refute_0_748,refute_0_749]) ).
cnf(refute_0_751,plain,
ll1 = or(t6,t7),
inference(resolve,[$cnf( $equal(ll1,or(t6,or(t7,not(cin)))) )],[refute_0_730,refute_0_750]) ).
cnf(refute_0_752,plain,
( ll1 != or(t6,t7)
| or(t6,t7) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(t6,t7)))]]) ).
cnf(refute_0_753,plain,
or(t6,t7) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(t6,t7)) )],[refute_0_751,refute_0_752]) ).
cnf(refute_0_754,plain,
not(or(t6,t7)) = not(or(t6,t7)),
introduced(tautology,[refl,[$fot(not(or(t6,t7)))]]) ).
cnf(refute_0_755,plain,
( not(or(t6,t7)) != not(or(t6,t7))
| or(t6,t7) != ll1
| not(or(t6,t7)) = not(ll1) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t6,t7)),not(or(t6,t7))) ),[1,0],$fot(ll1)]]) ).
cnf(refute_0_756,plain,
( or(t6,t7) != ll1
| not(or(t6,t7)) = not(ll1) ),
inference(resolve,[$cnf( $equal(not(or(t6,t7)),not(or(t6,t7))) )],[refute_0_754,refute_0_755]) ).
cnf(refute_0_757,plain,
not(or(t6,t7)) = not(ll1),
inference(resolve,[$cnf( $equal(or(t6,t7),ll1) )],[refute_0_753,refute_0_756]) ).
cnf(refute_0_758,plain,
( not(ll1) != ll0
| not(or(t6,t7)) != not(ll1)
| not(or(t6,t7)) = ll0 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(t6,t7)))),bind(Y0,$fot(not(ll1))),bind(Z0,$fot(ll0))]]) ).
cnf(refute_0_759,plain,
( not(ll1) != ll0
| not(or(t6,t7)) = ll0 ),
inference(resolve,[$cnf( $equal(not(or(t6,t7)),not(ll1)) )],[refute_0_757,refute_0_758]) ).
cnf(refute_0_760,plain,
not(or(t6,t7)) = ll0,
inference(resolve,[$cnf( $equal(not(ll1),ll0) )],[ll1_inverse,refute_0_759]) ).
cnf(refute_0_761,plain,
and(not(t6),not(t7)) = not(or(t6,t7)),
inference(subst,[],[refute_0_101:[bind(X,$fot(t6)),bind(Y,$fot(t7))]]) ).
cnf(refute_0_762,plain,
( and(not(t6),not(t7)) != not(or(t6,t7))
| not(or(t6,t7)) != ll0
| and(not(t6),not(t7)) = ll0 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t6),not(t7)))),bind(Y0,$fot(not(or(t6,t7)))),bind(Z0,$fot(ll0))]]) ).
cnf(refute_0_763,plain,
( not(or(t6,t7)) != ll0
| and(not(t6),not(t7)) = ll0 ),
inference(resolve,[$cnf( $equal(and(not(t6),not(t7)),not(or(t6,t7))) )],[refute_0_761,refute_0_762]) ).
cnf(refute_0_764,plain,
and(not(t6),not(t7)) = ll0,
inference(resolve,[$cnf( $equal(not(or(t6,t7)),ll0) )],[refute_0_760,refute_0_763]) ).
cnf(refute_0_765,plain,
( and(not(t6),not(t7)) != and(t4,not(t7))
| and(not(t6),not(t7)) != ll0
| ll0 = and(t4,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),not(t7)),and(t4,not(t7))) ),[0],$fot(ll0)]]) ).
cnf(refute_0_766,plain,
( and(not(t6),not(t7)) != and(t4,not(t7))
| ll0 = and(t4,not(t7)) ),
inference(resolve,[$cnf( $equal(and(not(t6),not(t7)),ll0) )],[refute_0_764,refute_0_765]) ).
cnf(refute_0_767,plain,
ll0 = and(t4,not(t7)),
inference(resolve,[$cnf( $equal(and(not(t6),not(t7)),and(t4,not(t7))) )],[refute_0_671,refute_0_766]) ).
cnf(refute_0_768,plain,
( ll0 != and(t4,not(t7))
| and(t4,not(t7)) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(t4,not(t7))))]]) ).
cnf(refute_0_769,plain,
and(t4,not(t7)) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(t4,not(t7))) )],[refute_0_767,refute_0_768]) ).
cnf(refute_0_770,plain,
( and(t4,not(t7)) != ll0
| or(and(t4,not(t7)),and(not(t4),t7)) != xor(t4,t7)
| or(ll0,and(not(t4),t7)) = xor(t4,t7) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,not(t7)),and(not(t4),t7)),xor(t4,t7)) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_771,plain,
( or(and(t4,not(t7)),and(not(t4),t7)) != xor(t4,t7)
| or(ll0,and(not(t4),t7)) = xor(t4,t7) ),
inference(resolve,[$cnf( $equal(and(t4,not(t7)),ll0) )],[refute_0_769,refute_0_770]) ).
cnf(refute_0_772,plain,
or(ll0,and(not(t4),t7)) = xor(t4,t7),
inference(resolve,[$cnf( $equal(or(and(t4,not(t7)),and(not(t4),t7)),xor(t4,t7)) )],[refute_0_657,refute_0_771]) ).
cnf(refute_0_773,plain,
and(not(t4),t7) = and(t7,not(t4)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t7)),bind(Y,$fot(not(t4)))]]) ).
cnf(refute_0_774,plain,
or(ll0,and(not(t4),t7)) = and(not(t4),t7),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(t4),t7)))]]) ).
cnf(refute_0_775,plain,
( and(not(t4),t7) != and(t7,not(t4))
| or(ll0,and(not(t4),t7)) != and(not(t4),t7)
| or(ll0,and(not(t4),t7)) = and(t7,not(t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(ll0,and(not(t4),t7)))),bind(Y0,$fot(and(not(t4),t7))),bind(Z0,$fot(and(t7,not(t4))))]]) ).
cnf(refute_0_776,plain,
( and(not(t4),t7) != and(t7,not(t4))
| or(ll0,and(not(t4),t7)) = and(t7,not(t4)) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t4),t7)),and(not(t4),t7)) )],[refute_0_774,refute_0_775]) ).
cnf(refute_0_777,plain,
or(ll0,and(not(t4),t7)) = and(t7,not(t4)),
inference(resolve,[$cnf( $equal(and(not(t4),t7),and(t7,not(t4))) )],[refute_0_773,refute_0_776]) ).
cnf(refute_0_778,plain,
( or(ll0,and(not(t4),t7)) != and(t7,not(t4))
| or(ll0,and(not(t4),t7)) != xor(t4,t7)
| and(t7,not(t4)) = xor(t4,t7) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(t4),t7)),xor(t4,t7)) ),[0],$fot(and(t7,not(t4)))]]) ).
cnf(refute_0_779,plain,
( or(ll0,and(not(t4),t7)) != xor(t4,t7)
| and(t7,not(t4)) = xor(t4,t7) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t4),t7)),and(t7,not(t4))) )],[refute_0_777,refute_0_778]) ).
cnf(refute_0_780,plain,
and(t7,not(t4)) = xor(t4,t7),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t4),t7)),xor(t4,t7)) )],[refute_0_772,refute_0_779]) ).
cnf(refute_0_781,plain,
( and(t7,not(t4)) != xor(t4,t7)
| not(and(not(t4),t7)) != not(and(t7,not(t4)))
| not(and(not(t4),t7)) = not(xor(t4,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t4),t7)),not(and(t7,not(t4)))) ),[1,0],$fot(xor(t4,t7))]]) ).
cnf(refute_0_782,plain,
( not(and(not(t4),t7)) != not(and(t7,not(t4)))
| not(and(not(t4),t7)) = not(xor(t4,t7)) ),
inference(resolve,[$cnf( $equal(and(t7,not(t4)),xor(t4,t7)) )],[refute_0_780,refute_0_781]) ).
cnf(refute_0_783,plain,
not(and(not(t4),t7)) = not(xor(t4,t7)),
inference(resolve,[$cnf( $equal(not(and(not(t4),t7)),not(and(t7,not(t4)))) )],[refute_0_656,refute_0_782]) ).
cnf(refute_0_784,plain,
not(and(not(X),X_32)) = or(not(not(X)),not(X_32)),
inference(subst,[],[and_demorgan:[bind(X,$fot(not(X))),bind(Y,$fot(X_32))]]) ).
cnf(refute_0_785,plain,
( not(and(not(X),X_32)) != or(not(not(X)),not(X_32))
| not(not(X)) != X
| not(and(not(X),X_32)) = or(X,not(X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(X),X_32)),or(not(not(X)),not(X_32))) ),[1,0],$fot(X)]]) ).
cnf(refute_0_786,plain,
( not(and(not(X),X_32)) != or(not(not(X)),not(X_32))
| not(and(not(X),X_32)) = or(X,not(X_32)) ),
inference(resolve,[$cnf( $equal(not(not(X)),X) )],[not_involution,refute_0_785]) ).
cnf(refute_0_787,plain,
not(and(not(X),X_32)) = or(X,not(X_32)),
inference(resolve,[$cnf( $equal(not(and(not(X),X_32)),or(not(not(X)),not(X_32))) )],[refute_0_784,refute_0_786]) ).
cnf(refute_0_788,plain,
not(and(not(t4),t7)) = or(t4,not(t7)),
inference(subst,[],[refute_0_787:[bind(X,$fot(t4)),bind(X_32,$fot(t7))]]) ).
cnf(refute_0_789,plain,
( not(and(not(t4),t7)) != not(xor(t4,t7))
| not(and(not(t4),t7)) != or(t4,not(t7))
| or(t4,not(t7)) = not(xor(t4,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t4),t7)),not(xor(t4,t7))) ),[0],$fot(or(t4,not(t7)))]]) ).
cnf(refute_0_790,plain,
( not(and(not(t4),t7)) != not(xor(t4,t7))
| or(t4,not(t7)) = not(xor(t4,t7)) ),
inference(resolve,[$cnf( $equal(not(and(not(t4),t7)),or(t4,not(t7))) )],[refute_0_788,refute_0_789]) ).
cnf(refute_0_791,plain,
or(t4,not(t7)) = not(xor(t4,t7)),
inference(resolve,[$cnf( $equal(not(and(not(t4),t7)),not(xor(t4,t7))) )],[refute_0_783,refute_0_790]) ).
cnf(refute_0_792,plain,
( or(t3,or(t4,not(t7))) != ll1
| or(t4,not(t7)) != not(xor(t4,t7))
| or(t3,not(xor(t4,t7))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,or(t4,not(t7))),ll1) ),[0,1],$fot(not(xor(t4,t7)))]]) ).
cnf(refute_0_793,plain,
( or(t3,or(t4,not(t7))) != ll1
| or(t3,not(xor(t4,t7))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t4,not(t7)),not(xor(t4,t7))) )],[refute_0_791,refute_0_792]) ).
cnf(refute_0_794,plain,
or(t3,not(xor(t4,t7))) = ll1,
inference(resolve,[$cnf( $equal(or(t3,or(t4,not(t7))),ll1) )],[refute_0_655,refute_0_793]) ).
cnf(refute_0_795,plain,
( and(or(t3,not(xor(t4,t7))),not(or(not(xor(t4,t7)),t3))) != ll0
| or(t3,not(xor(t4,t7))) != ll1
| and(ll1,not(or(not(xor(t4,t7)),t3))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(t3,not(xor(t4,t7))),not(or(not(xor(t4,t7)),t3))),ll0) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_796,plain,
( and(or(t3,not(xor(t4,t7))),not(or(not(xor(t4,t7)),t3))) != ll0
| and(ll1,not(or(not(xor(t4,t7)),t3))) = ll0 ),
inference(resolve,[$cnf( $equal(or(t3,not(xor(t4,t7))),ll1) )],[refute_0_794,refute_0_795]) ).
cnf(refute_0_797,plain,
and(ll1,not(or(not(xor(t4,t7)),t3))) = ll0,
inference(resolve,[$cnf( $equal(and(or(t3,not(xor(t4,t7))),not(or(not(xor(t4,t7)),t3))),ll0) )],[refute_0_614,refute_0_796]) ).
cnf(refute_0_798,plain,
not(or(X_25,not(X))) = and(not(X_25),not(not(X))),
inference(subst,[],[or_demorgan:[bind(X,$fot(X_25)),bind(Y,$fot(not(X)))]]) ).
cnf(refute_0_799,plain,
( not(not(X)) != X
| not(or(X_25,not(X))) != and(not(X_25),not(not(X)))
| not(or(X_25,not(X))) = and(not(X_25),X) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X_25,not(X))),and(not(X_25),not(not(X)))) ),[1,1],$fot(X)]]) ).
cnf(refute_0_800,plain,
( not(or(X_25,not(X))) != and(not(X_25),not(not(X)))
| not(or(X_25,not(X))) = and(not(X_25),X) ),
inference(resolve,[$cnf( $equal(not(not(X)),X) )],[not_involution,refute_0_799]) ).
cnf(refute_0_801,plain,
not(or(X_25,not(X))) = and(not(X_25),X),
inference(resolve,[$cnf( $equal(not(or(X_25,not(X))),and(not(X_25),not(not(X)))) )],[refute_0_798,refute_0_800]) ).
cnf(refute_0_802,plain,
not(or(t3,not(xor(t4,t7)))) = and(not(t3),xor(t4,t7)),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(t4,t7))),bind(X_25,$fot(t3))]]) ).
cnf(refute_0_803,plain,
and(ll1,not(or(t3,not(xor(t4,t7))))) = not(or(t3,not(xor(t4,t7)))),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(or(t3,not(xor(t4,t7))))))]]) ).
cnf(refute_0_804,plain,
( and(ll1,not(or(t3,not(xor(t4,t7))))) != not(or(t3,not(xor(t4,t7))))
| not(or(t3,not(xor(t4,t7)))) != and(not(t3),xor(t4,t7))
| and(ll1,not(or(t3,not(xor(t4,t7))))) = and(not(t3),xor(t4,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(t3,not(xor(t4,t7))))))),bind(Y0,$fot(not(or(t3,not(xor(t4,t7)))))),bind(Z0,$fot(and(not(t3),xor(t4,t7))))]]) ).
cnf(refute_0_805,plain,
( not(or(t3,not(xor(t4,t7)))) != and(not(t3),xor(t4,t7))
| and(ll1,not(or(t3,not(xor(t4,t7))))) = and(not(t3),xor(t4,t7)) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t3,not(xor(t4,t7))))),not(or(t3,not(xor(t4,t7))))) )],[refute_0_803,refute_0_804]) ).
cnf(refute_0_806,plain,
and(ll1,not(or(t3,not(xor(t4,t7))))) = and(not(t3),xor(t4,t7)),
inference(resolve,[$cnf( $equal(not(or(t3,not(xor(t4,t7)))),and(not(t3),xor(t4,t7))) )],[refute_0_802,refute_0_805]) ).
cnf(refute_0_807,plain,
not(or(not(X_29),or(X_25,X_26))) = and(X_29,not(or(X_25,X_26))),
inference(subst,[],[refute_0_159:[bind(X,$fot(X_29)),bind(X_26,$fot(or(X_25,X_26)))]]) ).
cnf(refute_0_808,plain,
( not(or(X_25,X_26)) != not(or(X_26,X_25))
| not(or(not(X_29),or(X_25,X_26))) != and(X_29,not(or(X_25,X_26)))
| not(or(not(X_29),or(X_25,X_26))) = and(X_29,not(or(X_26,X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(X_29),or(X_25,X_26))),and(X_29,not(or(X_25,X_26)))) ),[1,1],$fot(not(or(X_26,X_25)))]]) ).
cnf(refute_0_809,plain,
( not(or(not(X_29),or(X_25,X_26))) != and(X_29,not(or(X_25,X_26)))
| not(or(not(X_29),or(X_25,X_26))) = and(X_29,not(or(X_26,X_25))) ),
inference(resolve,[$cnf( $equal(not(or(X_25,X_26)),not(or(X_26,X_25))) )],[refute_0_562,refute_0_808]) ).
cnf(refute_0_810,plain,
not(or(not(X_29),or(X_25,X_26))) = and(X_29,not(or(X_26,X_25))),
inference(resolve,[$cnf( $equal(not(or(not(X_29),or(X_25,X_26))),and(X_29,not(or(X_25,X_26)))) )],[refute_0_807,refute_0_809]) ).
cnf(refute_0_811,plain,
( not(or(not(X_29),or(X_25,X_26))) != and(X_29,not(or(X_25,X_26)))
| not(or(not(X_29),or(X_25,X_26))) != and(X_29,not(or(X_26,X_25)))
| and(X_29,not(or(X_25,X_26))) = and(X_29,not(or(X_26,X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(X_29),or(X_25,X_26))),and(X_29,not(or(X_26,X_25)))) ),[0],$fot(and(X_29,not(or(X_25,X_26))))]]) ).
cnf(refute_0_812,plain,
( not(or(not(X_29),or(X_25,X_26))) != and(X_29,not(or(X_26,X_25)))
| and(X_29,not(or(X_25,X_26))) = and(X_29,not(or(X_26,X_25))) ),
inference(resolve,[$cnf( $equal(not(or(not(X_29),or(X_25,X_26))),and(X_29,not(or(X_25,X_26)))) )],[refute_0_807,refute_0_811]) ).
cnf(refute_0_813,plain,
and(X_29,not(or(X_25,X_26))) = and(X_29,not(or(X_26,X_25))),
inference(resolve,[$cnf( $equal(not(or(not(X_29),or(X_25,X_26))),and(X_29,not(or(X_26,X_25)))) )],[refute_0_810,refute_0_812]) ).
cnf(refute_0_814,plain,
( and(X_29,not(or(X_25,X_26))) != and(X_29,not(or(X_26,X_25)))
| and(X_29,not(or(X_26,X_25))) = and(X_29,not(or(X_25,X_26))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X_29,not(or(X_25,X_26))))),bind(Y0,$fot(and(X_29,not(or(X_26,X_25)))))]]) ).
cnf(refute_0_815,plain,
and(X_29,not(or(X_26,X_25))) = and(X_29,not(or(X_25,X_26))),
inference(resolve,[$cnf( $equal(and(X_29,not(or(X_25,X_26))),and(X_29,not(or(X_26,X_25)))) )],[refute_0_813,refute_0_814]) ).
cnf(refute_0_816,plain,
and(ll1,not(or(not(xor(t4,t7)),t3))) = and(ll1,not(or(t3,not(xor(t4,t7))))),
inference(subst,[],[refute_0_815:[bind(X_25,$fot(t3)),bind(X_26,$fot(not(xor(t4,t7)))),bind(X_29,$fot(ll1))]]) ).
cnf(refute_0_817,plain,
( and(ll1,not(or(not(xor(t4,t7)),t3))) != and(ll1,not(or(t3,not(xor(t4,t7)))))
| and(ll1,not(or(t3,not(xor(t4,t7))))) != and(not(t3),xor(t4,t7))
| and(ll1,not(or(not(xor(t4,t7)),t3))) = and(not(t3),xor(t4,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(xor(t4,t7)),t3))))),bind(Y0,$fot(and(ll1,not(or(t3,not(xor(t4,t7))))))),bind(Z0,$fot(and(not(t3),xor(t4,t7))))]]) ).
cnf(refute_0_818,plain,
( and(ll1,not(or(t3,not(xor(t4,t7))))) != and(not(t3),xor(t4,t7))
| and(ll1,not(or(not(xor(t4,t7)),t3))) = and(not(t3),xor(t4,t7)) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t4,t7)),t3))),and(ll1,not(or(t3,not(xor(t4,t7)))))) )],[refute_0_816,refute_0_817]) ).
cnf(refute_0_819,plain,
and(ll1,not(or(not(xor(t4,t7)),t3))) = and(not(t3),xor(t4,t7)),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t3,not(xor(t4,t7))))),and(not(t3),xor(t4,t7))) )],[refute_0_806,refute_0_818]) ).
cnf(refute_0_820,plain,
( and(ll1,not(or(not(xor(t4,t7)),t3))) != and(not(t3),xor(t4,t7))
| and(ll1,not(or(not(xor(t4,t7)),t3))) != ll0
| and(not(t3),xor(t4,t7)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(ll1,not(or(not(xor(t4,t7)),t3))),ll0) ),[0],$fot(and(not(t3),xor(t4,t7)))]]) ).
cnf(refute_0_821,plain,
( and(ll1,not(or(not(xor(t4,t7)),t3))) != ll0
| and(not(t3),xor(t4,t7)) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t4,t7)),t3))),and(not(t3),xor(t4,t7))) )],[refute_0_819,refute_0_820]) ).
cnf(refute_0_822,plain,
and(not(t3),xor(t4,t7)) = ll0,
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t4,t7)),t3))),ll0) )],[refute_0_797,refute_0_821]) ).
cnf(refute_0_823,plain,
( and(not(t3),xor(t4,t7)) != ll0
| or(and(t3,not(xor(t4,t7))),and(not(t3),xor(t4,t7))) != xor(t3,xor(t4,t7))
| or(and(t3,not(xor(t4,t7))),ll0) = xor(t3,xor(t4,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t3,not(xor(t4,t7))),and(not(t3),xor(t4,t7))),xor(t3,xor(t4,t7))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_824,plain,
( or(and(t3,not(xor(t4,t7))),and(not(t3),xor(t4,t7))) != xor(t3,xor(t4,t7))
| or(and(t3,not(xor(t4,t7))),ll0) = xor(t3,xor(t4,t7)) ),
inference(resolve,[$cnf( $equal(and(not(t3),xor(t4,t7)),ll0) )],[refute_0_822,refute_0_823]) ).
cnf(refute_0_825,plain,
or(and(t3,not(xor(t4,t7))),ll0) = xor(t3,xor(t4,t7)),
inference(resolve,[$cnf( $equal(or(and(t3,not(xor(t4,t7))),and(not(t3),xor(t4,t7))),xor(t3,xor(t4,t7))) )],[refute_0_613,refute_0_824]) ).
cnf(refute_0_826,plain,
or(and(t3,not(xor(t4,t7))),ll0) = and(t3,not(xor(t4,t7))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t3,not(xor(t4,t7)))))]]) ).
cnf(refute_0_827,plain,
( or(and(t3,not(xor(t4,t7))),ll0) != and(t3,not(xor(t4,t7)))
| or(and(t3,not(xor(t4,t7))),ll0) != xor(t3,xor(t4,t7))
| and(t3,not(xor(t4,t7))) = xor(t3,xor(t4,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t3,not(xor(t4,t7))),ll0),xor(t3,xor(t4,t7))) ),[0],$fot(and(t3,not(xor(t4,t7))))]]) ).
cnf(refute_0_828,plain,
( or(and(t3,not(xor(t4,t7))),ll0) != xor(t3,xor(t4,t7))
| and(t3,not(xor(t4,t7))) = xor(t3,xor(t4,t7)) ),
inference(resolve,[$cnf( $equal(or(and(t3,not(xor(t4,t7))),ll0),and(t3,not(xor(t4,t7)))) )],[refute_0_826,refute_0_827]) ).
cnf(refute_0_829,plain,
and(t3,not(xor(t4,t7))) = xor(t3,xor(t4,t7)),
inference(resolve,[$cnf( $equal(or(and(t3,not(xor(t4,t7))),ll0),xor(t3,xor(t4,t7))) )],[refute_0_825,refute_0_828]) ).
cnf(refute_0_830,plain,
or(not(xor(t4,t7)),and(t5,not(xor(t4,t7)))) = not(xor(t4,t7)),
inference(subst,[],[refute_0_222:[bind(X_13,$fot(not(xor(t4,t7)))),bind(X_14,$fot(t5))]]) ).
cnf(refute_0_831,plain,
or(and(t5,not(xor(t4,t7))),and(not(t5),xor(t4,t7))) = xor(t5,xor(t4,t7)),
inference(subst,[],[refute_0_9:[bind(X,$fot(t5)),bind(Y,$fot(xor(t4,t7)))]]) ).
cnf(refute_0_832,plain,
and(and(cin,t4),X_222) = and(cin,and(t4,X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(cin)),bind(Y,$fot(t4)),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_833,plain,
not(not(and(cin,t4))) = and(cin,t4),
inference(subst,[],[not_involution:[bind(X,$fot(and(cin,t4)))]]) ).
cnf(refute_0_834,plain,
( not(and(cin,t4)) != t5
| not(not(and(cin,t4))) != and(cin,t4)
| not(t5) = and(cin,t4) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(cin,t4))),and(cin,t4)) ),[0,0],$fot(t5)]]) ).
cnf(refute_0_835,plain,
( not(not(and(cin,t4))) != and(cin,t4)
| not(t5) = and(cin,t4) ),
inference(resolve,[$cnf( $equal(not(and(cin,t4)),t5) )],[refute_0_682,refute_0_834]) ).
cnf(refute_0_836,plain,
not(t5) = and(cin,t4),
inference(resolve,[$cnf( $equal(not(not(and(cin,t4))),and(cin,t4)) )],[refute_0_833,refute_0_835]) ).
cnf(refute_0_837,plain,
( not(t5) != and(cin,t4)
| and(cin,t4) = not(t5) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t5))),bind(Y0,$fot(and(cin,t4)))]]) ).
cnf(refute_0_838,plain,
and(cin,t4) = not(t5),
inference(resolve,[$cnf( $equal(not(t5),and(cin,t4)) )],[refute_0_836,refute_0_837]) ).
cnf(refute_0_839,plain,
( and(and(cin,t4),X_222) != and(cin,and(t4,X_222))
| and(cin,t4) != not(t5)
| and(not(t5),X_222) = and(cin,and(t4,X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(cin,t4),X_222),and(cin,and(t4,X_222))) ),[0,0],$fot(not(t5))]]) ).
cnf(refute_0_840,plain,
( and(and(cin,t4),X_222) != and(cin,and(t4,X_222))
| and(not(t5),X_222) = and(cin,and(t4,X_222)) ),
inference(resolve,[$cnf( $equal(and(cin,t4),not(t5)) )],[refute_0_838,refute_0_839]) ).
cnf(refute_0_841,plain,
and(not(t5),X_222) = and(cin,and(t4,X_222)),
inference(resolve,[$cnf( $equal(and(and(cin,t4),X_222),and(cin,and(t4,X_222))) )],[refute_0_832,refute_0_840]) ).
cnf(refute_0_842,plain,
and(not(t5),xor(t4,t7)) = and(cin,and(t4,xor(t4,t7))),
inference(subst,[],[refute_0_841:[bind(X_222,$fot(xor(t4,t7)))]]) ).
cnf(refute_0_843,plain,
and(and(t3,and(t2,t4)),X_222) = and(t3,and(and(t2,t4),X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(t3)),bind(Y,$fot(and(t2,t4))),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_844,plain,
and(t2,and(t3,t4)) = and(and(t3,t4),t2),
inference(subst,[],[and_commutative:[bind(X,$fot(t2)),bind(Y,$fot(and(t3,t4)))]]) ).
cnf(refute_0_845,plain,
and(and(t2,t3),not(and(t2,t3))) = ll0,
inference(subst,[],[and_complement:[bind(X,$fot(and(t2,t3)))]]) ).
cnf(refute_0_846,plain,
( and(and(t2,t3),not(and(t2,t3))) != ll0
| not(and(t2,t3)) != t4
| and(and(t2,t3),t4) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t2,t3),not(and(t2,t3))),ll0) ),[0,1],$fot(t4)]]) ).
cnf(refute_0_847,plain,
( and(and(t2,t3),not(and(t2,t3))) != ll0
| and(and(t2,t3),t4) = ll0 ),
inference(resolve,[$cnf( $equal(not(and(t2,t3)),t4) )],[t4,refute_0_846]) ).
cnf(refute_0_848,plain,
and(and(t2,t3),t4) = ll0,
inference(resolve,[$cnf( $equal(and(and(t2,t3),not(and(t2,t3))),ll0) )],[refute_0_845,refute_0_847]) ).
cnf(refute_0_849,plain,
and(and(t2,t3),t4) = and(t2,and(t3,t4)),
inference(subst,[],[and_associative:[bind(X,$fot(t2)),bind(Y,$fot(t3)),bind(Z,$fot(t4))]]) ).
cnf(refute_0_850,plain,
( and(and(t2,t3),t4) != and(t2,and(t3,t4))
| and(and(t2,t3),t4) != ll0
| and(t2,and(t3,t4)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t2,t3),t4),ll0) ),[0],$fot(and(t2,and(t3,t4)))]]) ).
cnf(refute_0_851,plain,
( and(and(t2,t3),t4) != ll0
| and(t2,and(t3,t4)) = ll0 ),
inference(resolve,[$cnf( $equal(and(and(t2,t3),t4),and(t2,and(t3,t4))) )],[refute_0_849,refute_0_850]) ).
cnf(refute_0_852,plain,
and(t2,and(t3,t4)) = ll0,
inference(resolve,[$cnf( $equal(and(and(t2,t3),t4),ll0) )],[refute_0_848,refute_0_851]) ).
cnf(refute_0_853,plain,
( and(t2,and(t3,t4)) != and(and(t3,t4),t2)
| and(t2,and(t3,t4)) != ll0
| ll0 = and(and(t3,t4),t2) ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,and(t3,t4)),and(and(t3,t4),t2)) ),[0],$fot(ll0)]]) ).
cnf(refute_0_854,plain,
( and(t2,and(t3,t4)) != and(and(t3,t4),t2)
| ll0 = and(and(t3,t4),t2) ),
inference(resolve,[$cnf( $equal(and(t2,and(t3,t4)),ll0) )],[refute_0_852,refute_0_853]) ).
cnf(refute_0_855,plain,
ll0 = and(and(t3,t4),t2),
inference(resolve,[$cnf( $equal(and(t2,and(t3,t4)),and(and(t3,t4),t2)) )],[refute_0_844,refute_0_854]) ).
cnf(refute_0_856,plain,
and(t4,t2) = and(t2,t4),
inference(subst,[],[refute_0_116:[bind(X,$fot(t2)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_857,plain,
and(t3,and(t4,t2)) = and(t3,and(t4,t2)),
introduced(tautology,[refl,[$fot(and(t3,and(t4,t2)))]]) ).
cnf(refute_0_858,plain,
( and(t3,and(t4,t2)) != and(t3,and(t4,t2))
| and(t4,t2) != and(t2,t4)
| and(t3,and(t4,t2)) = and(t3,and(t2,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,and(t4,t2)),and(t3,and(t4,t2))) ),[1,1],$fot(and(t2,t4))]]) ).
cnf(refute_0_859,plain,
( and(t4,t2) != and(t2,t4)
| and(t3,and(t4,t2)) = and(t3,and(t2,t4)) ),
inference(resolve,[$cnf( $equal(and(t3,and(t4,t2)),and(t3,and(t4,t2))) )],[refute_0_857,refute_0_858]) ).
cnf(refute_0_860,plain,
and(t3,and(t4,t2)) = and(t3,and(t2,t4)),
inference(resolve,[$cnf( $equal(and(t4,t2),and(t2,t4)) )],[refute_0_856,refute_0_859]) ).
cnf(refute_0_861,plain,
and(and(t3,t4),t2) = and(t3,and(t4,t2)),
inference(subst,[],[and_associative:[bind(X,$fot(t3)),bind(Y,$fot(t4)),bind(Z,$fot(t2))]]) ).
cnf(refute_0_862,plain,
( and(and(t3,t4),t2) != and(t3,and(t4,t2))
| and(t3,and(t4,t2)) != and(t3,and(t2,t4))
| and(and(t3,t4),t2) = and(t3,and(t2,t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(t3,t4),t2))),bind(Y0,$fot(and(t3,and(t4,t2)))),bind(Z0,$fot(and(t3,and(t2,t4))))]]) ).
cnf(refute_0_863,plain,
( and(t3,and(t4,t2)) != and(t3,and(t2,t4))
| and(and(t3,t4),t2) = and(t3,and(t2,t4)) ),
inference(resolve,[$cnf( $equal(and(and(t3,t4),t2),and(t3,and(t4,t2))) )],[refute_0_861,refute_0_862]) ).
cnf(refute_0_864,plain,
and(and(t3,t4),t2) = and(t3,and(t2,t4)),
inference(resolve,[$cnf( $equal(and(t3,and(t4,t2)),and(t3,and(t2,t4))) )],[refute_0_860,refute_0_863]) ).
cnf(refute_0_865,plain,
( and(and(t3,t4),t2) != and(t3,and(t2,t4))
| ll0 != and(and(t3,t4),t2)
| ll0 = and(t3,and(t2,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(and(t3,t4),t2)) ),[1],$fot(and(t3,and(t2,t4)))]]) ).
cnf(refute_0_866,plain,
( ll0 != and(and(t3,t4),t2)
| ll0 = and(t3,and(t2,t4)) ),
inference(resolve,[$cnf( $equal(and(and(t3,t4),t2),and(t3,and(t2,t4))) )],[refute_0_864,refute_0_865]) ).
cnf(refute_0_867,plain,
ll0 = and(t3,and(t2,t4)),
inference(resolve,[$cnf( $equal(ll0,and(and(t3,t4),t2)) )],[refute_0_855,refute_0_866]) ).
cnf(refute_0_868,plain,
( ll0 != and(t3,and(t2,t4))
| and(t3,and(t2,t4)) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(t3,and(t2,t4))))]]) ).
cnf(refute_0_869,plain,
and(t3,and(t2,t4)) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(t3,and(t2,t4))) )],[refute_0_867,refute_0_868]) ).
cnf(refute_0_870,plain,
( and(and(t3,and(t2,t4)),X_222) != and(t3,and(and(t2,t4),X_222))
| and(t3,and(t2,t4)) != ll0
| and(ll0,X_222) = and(t3,and(and(t2,t4),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t3,and(t2,t4)),X_222),and(t3,and(and(t2,t4),X_222))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_871,plain,
( and(and(t3,and(t2,t4)),X_222) != and(t3,and(and(t2,t4),X_222))
| and(ll0,X_222) = and(t3,and(and(t2,t4),X_222)) ),
inference(resolve,[$cnf( $equal(and(t3,and(t2,t4)),ll0) )],[refute_0_869,refute_0_870]) ).
cnf(refute_0_872,plain,
and(ll0,X_222) = and(t3,and(and(t2,t4),X_222)),
inference(resolve,[$cnf( $equal(and(and(t3,and(t2,t4)),X_222),and(t3,and(and(t2,t4),X_222))) )],[refute_0_843,refute_0_871]) ).
cnf(refute_0_873,plain,
and(ll0,X_222) = ll0,
inference(subst,[],[refute_0_55:[bind(X,$fot(X_222))]]) ).
cnf(refute_0_874,plain,
( and(ll0,X_222) != and(t3,and(and(t2,t4),X_222))
| and(ll0,X_222) != ll0
| ll0 = and(t3,and(and(t2,t4),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(ll0,X_222),and(t3,and(and(t2,t4),X_222))) ),[0],$fot(ll0)]]) ).
cnf(refute_0_875,plain,
( and(ll0,X_222) != and(t3,and(and(t2,t4),X_222))
| ll0 = and(t3,and(and(t2,t4),X_222)) ),
inference(resolve,[$cnf( $equal(and(ll0,X_222),ll0) )],[refute_0_873,refute_0_874]) ).
cnf(refute_0_876,plain,
and(X,and(X_220,X_221)) = and(and(X_220,X_221),X),
inference(subst,[],[and_commutative:[bind(Y,$fot(and(X_220,X_221)))]]) ).
cnf(refute_0_877,plain,
and(and(X_220,X_221),X) = and(X_220,and(X_221,X)),
inference(subst,[],[and_associative:[bind(X,$fot(X_220)),bind(Y,$fot(X_221)),bind(Z,$fot(X))]]) ).
cnf(refute_0_878,plain,
( and(X,and(X_220,X_221)) != and(and(X_220,X_221),X)
| and(and(X_220,X_221),X) != and(X_220,and(X_221,X))
| and(X,and(X_220,X_221)) = and(X_220,and(X_221,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(X,and(X_220,X_221)),and(X_220,and(X_221,X))) ),[0],$fot(and(and(X_220,X_221),X))]]) ).
cnf(refute_0_879,plain,
( and(X,and(X_220,X_221)) != and(and(X_220,X_221),X)
| and(X,and(X_220,X_221)) = and(X_220,and(X_221,X)) ),
inference(resolve,[$cnf( $equal(and(and(X_220,X_221),X),and(X_220,and(X_221,X))) )],[refute_0_877,refute_0_878]) ).
cnf(refute_0_880,plain,
and(X,and(X_220,X_221)) = and(X_220,and(X_221,X)),
inference(resolve,[$cnf( $equal(and(X,and(X_220,X_221)),and(and(X_220,X_221),X)) )],[refute_0_876,refute_0_879]) ).
cnf(refute_0_881,plain,
and(not(t4),and(t4,X_222)) = and(t4,and(X_222,not(t4))),
inference(subst,[],[refute_0_880:[bind(X,$fot(not(t4))),bind(X_220,$fot(t4)),bind(X_221,$fot(X_222))]]) ).
cnf(refute_0_882,plain,
( and(not(t4),X_222) != and(t2,and(t3,X_222))
| and(t2,and(t3,X_222)) = and(not(t4),X_222) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t4),X_222))),bind(Y0,$fot(and(t2,and(t3,X_222))))]]) ).
cnf(refute_0_883,plain,
and(t2,and(t3,X_222)) = and(not(t4),X_222),
inference(resolve,[$cnf( $equal(and(not(t4),X_222),and(t2,and(t3,X_222))) )],[refute_0_611,refute_0_882]) ).
cnf(refute_0_884,plain,
and(t2,and(t3,and(t4,X_222))) = and(not(t4),and(t4,X_222)),
inference(subst,[],[refute_0_883:[bind(X_222,$fot(and(t4,X_222)))]]) ).
cnf(refute_0_885,plain,
( and(not(t4),and(t4,X_222)) != and(t4,and(X_222,not(t4)))
| and(t2,and(t3,and(t4,X_222))) != and(not(t4),and(t4,X_222))
| and(t2,and(t3,and(t4,X_222))) = and(t4,and(X_222,not(t4))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t2,and(t3,and(t4,X_222))))),bind(Y0,$fot(and(not(t4),and(t4,X_222)))),bind(Z0,$fot(and(t4,and(X_222,not(t4)))))]]) ).
cnf(refute_0_886,plain,
( and(not(t4),and(t4,X_222)) != and(t4,and(X_222,not(t4)))
| and(t2,and(t3,and(t4,X_222))) = and(t4,and(X_222,not(t4))) ),
inference(resolve,[$cnf( $equal(and(t2,and(t3,and(t4,X_222))),and(not(t4),and(t4,X_222))) )],[refute_0_884,refute_0_885]) ).
cnf(refute_0_887,plain,
and(t2,and(t3,and(t4,X_222))) = and(t4,and(X_222,not(t4))),
inference(resolve,[$cnf( $equal(and(not(t4),and(t4,X_222)),and(t4,and(X_222,not(t4)))) )],[refute_0_881,refute_0_886]) ).
cnf(refute_0_888,plain,
( and(X,and(X_220,X_221)) != and(X_220,and(X_221,X))
| and(X_220,and(X_221,X)) = and(X,and(X_220,X_221)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X,and(X_220,X_221)))),bind(Y0,$fot(and(X_220,and(X_221,X))))]]) ).
cnf(refute_0_889,plain,
and(X_220,and(X_221,X)) = and(X,and(X_220,X_221)),
inference(resolve,[$cnf( $equal(and(X,and(X_220,X_221)),and(X_220,and(X_221,X))) )],[refute_0_880,refute_0_888]) ).
cnf(refute_0_890,plain,
and(t4,and(X_222,t3)) = and(t3,and(t4,X_222)),
inference(subst,[],[refute_0_889:[bind(X,$fot(t3)),bind(X_220,$fot(t4)),bind(X_221,$fot(X_222))]]) ).
cnf(refute_0_891,plain,
and(and(t4,X_222),t3) = and(t4,and(X_222,t3)),
inference(subst,[],[and_associative:[bind(X,$fot(t4)),bind(Y,$fot(X_222)),bind(Z,$fot(t3))]]) ).
cnf(refute_0_892,plain,
( and(and(t4,X_222),t3) != and(t4,and(X_222,t3))
| and(t4,and(X_222,t3)) != and(t3,and(t4,X_222))
| and(and(t4,X_222),t3) = and(t3,and(t4,X_222)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(t4,X_222),t3))),bind(Y0,$fot(and(t4,and(X_222,t3)))),bind(Z0,$fot(and(t3,and(t4,X_222))))]]) ).
cnf(refute_0_893,plain,
( and(t4,and(X_222,t3)) != and(t3,and(t4,X_222))
| and(and(t4,X_222),t3) = and(t3,and(t4,X_222)) ),
inference(resolve,[$cnf( $equal(and(and(t4,X_222),t3),and(t4,and(X_222,t3))) )],[refute_0_891,refute_0_892]) ).
cnf(refute_0_894,plain,
and(and(t4,X_222),t3) = and(t3,and(t4,X_222)),
inference(resolve,[$cnf( $equal(and(t4,and(X_222,t3)),and(t3,and(t4,X_222))) )],[refute_0_890,refute_0_893]) ).
cnf(refute_0_895,plain,
and(t2,and(and(t4,X_222),t3)) = and(t2,and(and(t4,X_222),t3)),
introduced(tautology,[refl,[$fot(and(t2,and(and(t4,X_222),t3)))]]) ).
cnf(refute_0_896,plain,
( and(and(t4,X_222),t3) != and(t3,and(t4,X_222))
| and(t2,and(and(t4,X_222),t3)) != and(t2,and(and(t4,X_222),t3))
| and(t2,and(and(t4,X_222),t3)) = and(t2,and(t3,and(t4,X_222))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,and(and(t4,X_222),t3)),and(t2,and(and(t4,X_222),t3))) ),[1,1],$fot(and(t3,and(t4,X_222)))]]) ).
cnf(refute_0_897,plain,
( and(and(t4,X_222),t3) != and(t3,and(t4,X_222))
| and(t2,and(and(t4,X_222),t3)) = and(t2,and(t3,and(t4,X_222))) ),
inference(resolve,[$cnf( $equal(and(t2,and(and(t4,X_222),t3)),and(t2,and(and(t4,X_222),t3))) )],[refute_0_895,refute_0_896]) ).
cnf(refute_0_898,plain,
and(t2,and(and(t4,X_222),t3)) = and(t2,and(t3,and(t4,X_222))),
inference(resolve,[$cnf( $equal(and(and(t4,X_222),t3),and(t3,and(t4,X_222))) )],[refute_0_894,refute_0_897]) ).
cnf(refute_0_899,plain,
( and(t2,and(and(t4,X_222),t3)) != and(t2,and(t3,and(t4,X_222)))
| and(t2,and(t3,and(t4,X_222))) != and(t4,and(X_222,not(t4)))
| and(t2,and(and(t4,X_222),t3)) = and(t4,and(X_222,not(t4))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t2,and(and(t4,X_222),t3)))),bind(Y0,$fot(and(t2,and(t3,and(t4,X_222))))),bind(Z0,$fot(and(t4,and(X_222,not(t4)))))]]) ).
cnf(refute_0_900,plain,
( and(t2,and(t3,and(t4,X_222))) != and(t4,and(X_222,not(t4)))
| and(t2,and(and(t4,X_222),t3)) = and(t4,and(X_222,not(t4))) ),
inference(resolve,[$cnf( $equal(and(t2,and(and(t4,X_222),t3)),and(t2,and(t3,and(t4,X_222)))) )],[refute_0_898,refute_0_899]) ).
cnf(refute_0_901,plain,
and(t2,and(and(t4,X_222),t3)) = and(t4,and(X_222,not(t4))),
inference(resolve,[$cnf( $equal(and(t2,and(t3,and(t4,X_222))),and(t4,and(X_222,not(t4)))) )],[refute_0_887,refute_0_900]) ).
cnf(refute_0_902,plain,
and(t3,and(t2,and(t4,X_222))) = and(t2,and(and(t4,X_222),t3)),
inference(subst,[],[refute_0_880:[bind(X,$fot(t3)),bind(X_220,$fot(t2)),bind(X_221,$fot(and(t4,X_222)))]]) ).
cnf(refute_0_903,plain,
( and(t2,and(and(t4,X_222),t3)) != and(t4,and(X_222,not(t4)))
| and(t3,and(t2,and(t4,X_222))) != and(t2,and(and(t4,X_222),t3))
| and(t3,and(t2,and(t4,X_222))) = and(t4,and(X_222,not(t4))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t3,and(t2,and(t4,X_222))))),bind(Y0,$fot(and(t2,and(and(t4,X_222),t3)))),bind(Z0,$fot(and(t4,and(X_222,not(t4)))))]]) ).
cnf(refute_0_904,plain,
( and(t2,and(and(t4,X_222),t3)) != and(t4,and(X_222,not(t4)))
| and(t3,and(t2,and(t4,X_222))) = and(t4,and(X_222,not(t4))) ),
inference(resolve,[$cnf( $equal(and(t3,and(t2,and(t4,X_222))),and(t2,and(and(t4,X_222),t3))) )],[refute_0_902,refute_0_903]) ).
cnf(refute_0_905,plain,
and(t3,and(t2,and(t4,X_222))) = and(t4,and(X_222,not(t4))),
inference(resolve,[$cnf( $equal(and(t2,and(and(t4,X_222),t3)),and(t4,and(X_222,not(t4)))) )],[refute_0_901,refute_0_904]) ).
cnf(refute_0_906,plain,
and(and(t2,t4),X_222) = and(t2,and(t4,X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(t2)),bind(Y,$fot(t4)),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_907,plain,
and(t3,and(and(t2,t4),X_222)) = and(t3,and(and(t2,t4),X_222)),
introduced(tautology,[refl,[$fot(and(t3,and(and(t2,t4),X_222)))]]) ).
cnf(refute_0_908,plain,
( and(and(t2,t4),X_222) != and(t2,and(t4,X_222))
| and(t3,and(and(t2,t4),X_222)) != and(t3,and(and(t2,t4),X_222))
| and(t3,and(and(t2,t4),X_222)) = and(t3,and(t2,and(t4,X_222))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,and(and(t2,t4),X_222)),and(t3,and(and(t2,t4),X_222))) ),[1,1],$fot(and(t2,and(t4,X_222)))]]) ).
cnf(refute_0_909,plain,
( and(and(t2,t4),X_222) != and(t2,and(t4,X_222))
| and(t3,and(and(t2,t4),X_222)) = and(t3,and(t2,and(t4,X_222))) ),
inference(resolve,[$cnf( $equal(and(t3,and(and(t2,t4),X_222)),and(t3,and(and(t2,t4),X_222))) )],[refute_0_907,refute_0_908]) ).
cnf(refute_0_910,plain,
and(t3,and(and(t2,t4),X_222)) = and(t3,and(t2,and(t4,X_222))),
inference(resolve,[$cnf( $equal(and(and(t2,t4),X_222),and(t2,and(t4,X_222))) )],[refute_0_906,refute_0_909]) ).
cnf(refute_0_911,plain,
( and(t3,and(and(t2,t4),X_222)) != and(t3,and(t2,and(t4,X_222)))
| and(t3,and(t2,and(t4,X_222))) != and(t4,and(X_222,not(t4)))
| and(t3,and(and(t2,t4),X_222)) = and(t4,and(X_222,not(t4))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t3,and(and(t2,t4),X_222)))),bind(Y0,$fot(and(t3,and(t2,and(t4,X_222))))),bind(Z0,$fot(and(t4,and(X_222,not(t4)))))]]) ).
cnf(refute_0_912,plain,
( and(t3,and(t2,and(t4,X_222))) != and(t4,and(X_222,not(t4)))
| and(t3,and(and(t2,t4),X_222)) = and(t4,and(X_222,not(t4))) ),
inference(resolve,[$cnf( $equal(and(t3,and(and(t2,t4),X_222)),and(t3,and(t2,and(t4,X_222)))) )],[refute_0_910,refute_0_911]) ).
cnf(refute_0_913,plain,
and(t3,and(and(t2,t4),X_222)) = and(t4,and(X_222,not(t4))),
inference(resolve,[$cnf( $equal(and(t3,and(t2,and(t4,X_222))),and(t4,and(X_222,not(t4)))) )],[refute_0_905,refute_0_912]) ).
cnf(refute_0_914,plain,
( and(t3,and(and(t2,t4),X_222)) != and(t4,and(X_222,not(t4)))
| ll0 != and(t3,and(and(t2,t4),X_222))
| ll0 = and(t4,and(X_222,not(t4))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(t3,and(and(t2,t4),X_222))) ),[1],$fot(and(t4,and(X_222,not(t4))))]]) ).
cnf(refute_0_915,plain,
( ll0 != and(t3,and(and(t2,t4),X_222))
| ll0 = and(t4,and(X_222,not(t4))) ),
inference(resolve,[$cnf( $equal(and(t3,and(and(t2,t4),X_222)),and(t4,and(X_222,not(t4)))) )],[refute_0_913,refute_0_914]) ).
cnf(refute_0_916,plain,
( and(ll0,X_222) != and(t3,and(and(t2,t4),X_222))
| ll0 = and(t4,and(X_222,not(t4))) ),
inference(resolve,[$cnf( $equal(ll0,and(t3,and(and(t2,t4),X_222))) )],[refute_0_875,refute_0_915]) ).
cnf(refute_0_917,plain,
ll0 = and(t4,and(X_222,not(t4))),
inference(resolve,[$cnf( $equal(and(ll0,X_222),and(t3,and(and(t2,t4),X_222))) )],[refute_0_872,refute_0_916]) ).
cnf(refute_0_918,plain,
ll0 = and(t4,and(t7,not(t4))),
inference(subst,[],[refute_0_917:[bind(X_222,$fot(t7))]]) ).
cnf(refute_0_919,plain,
( and(t7,not(t4)) != xor(t4,t7)
| ll0 != and(t4,and(t7,not(t4)))
| ll0 = and(t4,xor(t4,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(t4,and(t7,not(t4)))) ),[1,1],$fot(xor(t4,t7))]]) ).
cnf(refute_0_920,plain,
( ll0 != and(t4,and(t7,not(t4)))
| ll0 = and(t4,xor(t4,t7)) ),
inference(resolve,[$cnf( $equal(and(t7,not(t4)),xor(t4,t7)) )],[refute_0_780,refute_0_919]) ).
cnf(refute_0_921,plain,
ll0 = and(t4,xor(t4,t7)),
inference(resolve,[$cnf( $equal(ll0,and(t4,and(t7,not(t4)))) )],[refute_0_918,refute_0_920]) ).
cnf(refute_0_922,plain,
( ll0 != and(t4,xor(t4,t7))
| and(t4,xor(t4,t7)) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(t4,xor(t4,t7))))]]) ).
cnf(refute_0_923,plain,
and(t4,xor(t4,t7)) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(t4,xor(t4,t7))) )],[refute_0_921,refute_0_922]) ).
cnf(refute_0_924,plain,
( and(not(t5),xor(t4,t7)) != and(cin,and(t4,xor(t4,t7)))
| and(t4,xor(t4,t7)) != ll0
| and(not(t5),xor(t4,t7)) = and(cin,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),xor(t4,t7)),and(cin,and(t4,xor(t4,t7)))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_925,plain,
( and(not(t5),xor(t4,t7)) != and(cin,and(t4,xor(t4,t7)))
| and(not(t5),xor(t4,t7)) = and(cin,ll0) ),
inference(resolve,[$cnf( $equal(and(t4,xor(t4,t7)),ll0) )],[refute_0_923,refute_0_924]) ).
cnf(refute_0_926,plain,
and(not(t5),xor(t4,t7)) = and(cin,ll0),
inference(resolve,[$cnf( $equal(and(not(t5),xor(t4,t7)),and(cin,and(t4,xor(t4,t7)))) )],[refute_0_842,refute_0_925]) ).
cnf(refute_0_927,plain,
and(cin,ll0) = ll0,
inference(subst,[],[and_boundedness:[bind(X,$fot(cin))]]) ).
cnf(refute_0_928,plain,
( and(cin,ll0) != ll0
| and(not(t5),xor(t4,t7)) != and(cin,ll0)
| and(not(t5),xor(t4,t7)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),xor(t4,t7)),and(cin,ll0)) ),[1],$fot(ll0)]]) ).
cnf(refute_0_929,plain,
( and(not(t5),xor(t4,t7)) != and(cin,ll0)
| and(not(t5),xor(t4,t7)) = ll0 ),
inference(resolve,[$cnf( $equal(and(cin,ll0),ll0) )],[refute_0_927,refute_0_928]) ).
cnf(refute_0_930,plain,
and(not(t5),xor(t4,t7)) = ll0,
inference(resolve,[$cnf( $equal(and(not(t5),xor(t4,t7)),and(cin,ll0)) )],[refute_0_926,refute_0_929]) ).
cnf(refute_0_931,plain,
( and(not(t5),xor(t4,t7)) != ll0
| or(and(t5,not(xor(t4,t7))),and(not(t5),xor(t4,t7))) != xor(t5,xor(t4,t7))
| or(and(t5,not(xor(t4,t7))),ll0) = xor(t5,xor(t4,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t5,not(xor(t4,t7))),and(not(t5),xor(t4,t7))),xor(t5,xor(t4,t7))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_932,plain,
( or(and(t5,not(xor(t4,t7))),and(not(t5),xor(t4,t7))) != xor(t5,xor(t4,t7))
| or(and(t5,not(xor(t4,t7))),ll0) = xor(t5,xor(t4,t7)) ),
inference(resolve,[$cnf( $equal(and(not(t5),xor(t4,t7)),ll0) )],[refute_0_930,refute_0_931]) ).
cnf(refute_0_933,plain,
or(and(t5,not(xor(t4,t7))),ll0) = xor(t5,xor(t4,t7)),
inference(resolve,[$cnf( $equal(or(and(t5,not(xor(t4,t7))),and(not(t5),xor(t4,t7))),xor(t5,xor(t4,t7))) )],[refute_0_831,refute_0_932]) ).
cnf(refute_0_934,plain,
or(and(t5,not(xor(t4,t7))),ll0) = and(t5,not(xor(t4,t7))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t5,not(xor(t4,t7)))))]]) ).
cnf(refute_0_935,plain,
( or(and(t5,not(xor(t4,t7))),ll0) != and(t5,not(xor(t4,t7)))
| or(and(t5,not(xor(t4,t7))),ll0) != xor(t5,xor(t4,t7))
| and(t5,not(xor(t4,t7))) = xor(t5,xor(t4,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t5,not(xor(t4,t7))),ll0),xor(t5,xor(t4,t7))) ),[0],$fot(and(t5,not(xor(t4,t7))))]]) ).
cnf(refute_0_936,plain,
( or(and(t5,not(xor(t4,t7))),ll0) != xor(t5,xor(t4,t7))
| and(t5,not(xor(t4,t7))) = xor(t5,xor(t4,t7)) ),
inference(resolve,[$cnf( $equal(or(and(t5,not(xor(t4,t7))),ll0),and(t5,not(xor(t4,t7)))) )],[refute_0_934,refute_0_935]) ).
cnf(refute_0_937,plain,
and(t5,not(xor(t4,t7))) = xor(t5,xor(t4,t7)),
inference(resolve,[$cnf( $equal(or(and(t5,not(xor(t4,t7))),ll0),xor(t5,xor(t4,t7))) )],[refute_0_933,refute_0_936]) ).
cnf(refute_0_938,plain,
( and(t5,not(xor(t4,t7))) != xor(t5,xor(t4,t7))
| or(not(xor(t4,t7)),and(t5,not(xor(t4,t7)))) != not(xor(t4,t7))
| or(not(xor(t4,t7)),xor(t5,xor(t4,t7))) = not(xor(t4,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(xor(t4,t7)),and(t5,not(xor(t4,t7)))),not(xor(t4,t7))) ),[0,1],$fot(xor(t5,xor(t4,t7)))]]) ).
cnf(refute_0_939,plain,
( or(not(xor(t4,t7)),and(t5,not(xor(t4,t7)))) != not(xor(t4,t7))
| or(not(xor(t4,t7)),xor(t5,xor(t4,t7))) = not(xor(t4,t7)) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t4,t7))),xor(t5,xor(t4,t7))) )],[refute_0_937,refute_0_938]) ).
cnf(refute_0_940,plain,
or(not(xor(t4,t7)),xor(t5,xor(t4,t7))) = not(xor(t4,t7)),
inference(resolve,[$cnf( $equal(or(not(xor(t4,t7)),and(t5,not(xor(t4,t7)))),not(xor(t4,t7))) )],[refute_0_830,refute_0_939]) ).
cnf(refute_0_941,plain,
or(or(t4,not(t7)),Z) = or(t4,or(not(t7),Z)),
inference(subst,[],[or_associative:[bind(X,$fot(t4)),bind(Y,$fot(not(t7)))]]) ).
cnf(refute_0_942,plain,
( or(or(t4,not(t7)),Z) != or(t4,or(not(t7),Z))
| or(t4,not(t7)) != not(xor(t4,t7))
| or(not(xor(t4,t7)),Z) = or(t4,or(not(t7),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t4,not(t7)),Z),or(t4,or(not(t7),Z))) ),[0,0],$fot(not(xor(t4,t7)))]]) ).
cnf(refute_0_943,plain,
( or(or(t4,not(t7)),Z) != or(t4,or(not(t7),Z))
| or(not(xor(t4,t7)),Z) = or(t4,or(not(t7),Z)) ),
inference(resolve,[$cnf( $equal(or(t4,not(t7)),not(xor(t4,t7))) )],[refute_0_791,refute_0_942]) ).
cnf(refute_0_944,plain,
or(not(xor(t4,t7)),Z) = or(t4,or(not(t7),Z)),
inference(resolve,[$cnf( $equal(or(or(t4,not(t7)),Z),or(t4,or(not(t7),Z))) )],[refute_0_941,refute_0_943]) ).
cnf(refute_0_945,plain,
or(not(xor(t4,t7)),xor(t5,xor(t4,t7))) = or(t4,or(not(t7),xor(t5,xor(t4,t7)))),
inference(subst,[],[refute_0_944:[bind(Z,$fot(xor(t5,xor(t4,t7))))]]) ).
cnf(refute_0_946,plain,
( or(not(xor(t4,t7)),xor(t5,xor(t4,t7))) != not(xor(t4,t7))
| or(not(xor(t4,t7)),xor(t5,xor(t4,t7))) != or(t4,or(not(t7),xor(t5,xor(t4,t7))))
| or(t4,or(not(t7),xor(t5,xor(t4,t7)))) = not(xor(t4,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(xor(t4,t7)),xor(t5,xor(t4,t7))),not(xor(t4,t7))) ),[0],$fot(or(t4,or(not(t7),xor(t5,xor(t4,t7)))))]]) ).
cnf(refute_0_947,plain,
( or(not(xor(t4,t7)),xor(t5,xor(t4,t7))) != not(xor(t4,t7))
| or(t4,or(not(t7),xor(t5,xor(t4,t7)))) = not(xor(t4,t7)) ),
inference(resolve,[$cnf( $equal(or(not(xor(t4,t7)),xor(t5,xor(t4,t7))),or(t4,or(not(t7),xor(t5,xor(t4,t7))))) )],[refute_0_945,refute_0_946]) ).
cnf(refute_0_948,plain,
or(t4,or(not(t7),xor(t5,xor(t4,t7)))) = not(xor(t4,t7)),
inference(resolve,[$cnf( $equal(or(not(xor(t4,t7)),xor(t5,xor(t4,t7))),not(xor(t4,t7))) )],[refute_0_940,refute_0_947]) ).
cnf(refute_0_949,plain,
xor(t4,xor(t5,X_335)) = xor(xor(t4,t5),X_335),
inference(subst,[],[xor_associative:[bind(X,$fot(t4)),bind(Y,$fot(t5)),bind(Z,$fot(X_335))]]) ).
cnf(refute_0_950,plain,
or(and(t4,not(t5)),and(not(t4),t5)) = xor(t4,t5),
inference(subst,[],[refute_0_9:[bind(X,$fot(t4)),bind(Y,$fot(t5))]]) ).
cnf(refute_0_951,plain,
and(not(t5),or(t4,not(t5))) = not(t5),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(not(t5))),bind(X_20,$fot(t4))]]) ).
cnf(refute_0_952,plain,
or(t4,and(cin,t4)) = t4,
inference(subst,[],[refute_0_222:[bind(X_13,$fot(t4)),bind(X_14,$fot(cin))]]) ).
cnf(refute_0_953,plain,
( and(cin,t4) != not(t5)
| or(t4,and(cin,t4)) != t4
| or(t4,not(t5)) = t4 ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,and(cin,t4)),t4) ),[0,1],$fot(not(t5))]]) ).
cnf(refute_0_954,plain,
( or(t4,and(cin,t4)) != t4
| or(t4,not(t5)) = t4 ),
inference(resolve,[$cnf( $equal(and(cin,t4),not(t5)) )],[refute_0_838,refute_0_953]) ).
cnf(refute_0_955,plain,
or(t4,not(t5)) = t4,
inference(resolve,[$cnf( $equal(or(t4,and(cin,t4)),t4) )],[refute_0_952,refute_0_954]) ).
cnf(refute_0_956,plain,
( and(not(t5),or(t4,not(t5))) != not(t5)
| or(t4,not(t5)) != t4
| and(not(t5),t4) = not(t5) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),or(t4,not(t5))),not(t5)) ),[0,1],$fot(t4)]]) ).
cnf(refute_0_957,plain,
( and(not(t5),or(t4,not(t5))) != not(t5)
| and(not(t5),t4) = not(t5) ),
inference(resolve,[$cnf( $equal(or(t4,not(t5)),t4) )],[refute_0_955,refute_0_956]) ).
cnf(refute_0_958,plain,
and(not(t5),t4) = not(t5),
inference(resolve,[$cnf( $equal(and(not(t5),or(t4,not(t5))),not(t5)) )],[refute_0_951,refute_0_957]) ).
cnf(refute_0_959,plain,
and(not(t5),t4) = and(t4,not(t5)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t4)),bind(Y,$fot(not(t5)))]]) ).
cnf(refute_0_960,plain,
( and(not(t5),t4) != and(t4,not(t5))
| and(not(t5),t4) != not(t5)
| and(t4,not(t5)) = not(t5) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),t4),not(t5)) ),[0],$fot(and(t4,not(t5)))]]) ).
cnf(refute_0_961,plain,
( and(not(t5),t4) != not(t5)
| and(t4,not(t5)) = not(t5) ),
inference(resolve,[$cnf( $equal(and(not(t5),t4),and(t4,not(t5))) )],[refute_0_959,refute_0_960]) ).
cnf(refute_0_962,plain,
and(t4,not(t5)) = not(t5),
inference(resolve,[$cnf( $equal(and(not(t5),t4),not(t5)) )],[refute_0_958,refute_0_961]) ).
cnf(refute_0_963,plain,
( and(t4,not(t5)) != not(t5)
| or(and(t4,not(t5)),and(not(t4),t5)) != xor(t4,t5)
| or(not(t5),and(not(t4),t5)) = xor(t4,t5) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,not(t5)),and(not(t4),t5)),xor(t4,t5)) ),[0,0],$fot(not(t5))]]) ).
cnf(refute_0_964,plain,
( or(and(t4,not(t5)),and(not(t4),t5)) != xor(t4,t5)
| or(not(t5),and(not(t4),t5)) = xor(t4,t5) ),
inference(resolve,[$cnf( $equal(and(t4,not(t5)),not(t5)) )],[refute_0_962,refute_0_963]) ).
cnf(refute_0_965,plain,
or(not(t5),and(not(t4),t5)) = xor(t4,t5),
inference(resolve,[$cnf( $equal(or(and(t4,not(t5)),and(not(t4),t5)),xor(t4,t5)) )],[refute_0_950,refute_0_964]) ).
cnf(refute_0_966,plain,
not(and(t5,t4)) = not(and(t4,t5)),
inference(subst,[],[refute_0_333:[bind(X_31,$fot(t5)),bind(X_32,$fot(t4))]]) ).
cnf(refute_0_967,plain,
( not(and(t4,t5)) != t6
| not(and(t5,t4)) != not(and(t4,t5))
| not(and(t5,t4)) = t6 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(t5,t4)))),bind(Y0,$fot(not(and(t4,t5)))),bind(Z0,$fot(t6))]]) ).
cnf(refute_0_968,plain,
( not(and(t4,t5)) != t6
| not(and(t5,t4)) = t6 ),
inference(resolve,[$cnf( $equal(not(and(t5,t4)),not(and(t4,t5))) )],[refute_0_966,refute_0_967]) ).
cnf(refute_0_969,plain,
not(and(t5,t4)) = t6,
inference(resolve,[$cnf( $equal(not(and(t4,t5)),t6) )],[t6,refute_0_968]) ).
cnf(refute_0_970,plain,
or(not(t5),not(t4)) = not(and(t5,t4)),
inference(subst,[],[refute_0_147:[bind(X,$fot(t5)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_971,plain,
( not(and(t5,t4)) != t6
| or(not(t5),not(t4)) != not(and(t5,t4))
| or(not(t5),not(t4)) = t6 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t5),not(t4)))),bind(Y0,$fot(not(and(t5,t4)))),bind(Z0,$fot(t6))]]) ).
cnf(refute_0_972,plain,
( not(and(t5,t4)) != t6
| or(not(t5),not(t4)) = t6 ),
inference(resolve,[$cnf( $equal(or(not(t5),not(t4)),not(and(t5,t4))) )],[refute_0_970,refute_0_971]) ).
cnf(refute_0_973,plain,
or(not(t5),not(t4)) = t6,
inference(resolve,[$cnf( $equal(not(and(t5,t4)),t6) )],[refute_0_969,refute_0_972]) ).
cnf(refute_0_974,plain,
not(or(not(t5),t4)) = not(or(t4,not(t5))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(t4)),bind(X_26,$fot(not(t5)))]]) ).
cnf(refute_0_975,plain,
( not(or(not(t5),t4)) != not(or(t4,not(t5)))
| or(t4,not(t5)) != t4
| not(or(not(t5),t4)) = not(t4) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(t5),t4)),not(or(t4,not(t5)))) ),[1,0],$fot(t4)]]) ).
cnf(refute_0_976,plain,
( not(or(not(t5),t4)) != not(or(t4,not(t5)))
| not(or(not(t5),t4)) = not(t4) ),
inference(resolve,[$cnf( $equal(or(t4,not(t5)),t4) )],[refute_0_955,refute_0_975]) ).
cnf(refute_0_977,plain,
not(or(not(t5),t4)) = not(t4),
inference(resolve,[$cnf( $equal(not(or(not(t5),t4)),not(or(t4,not(t5)))) )],[refute_0_974,refute_0_976]) ).
cnf(refute_0_978,plain,
not(or(not(t5),t4)) = and(t5,not(t4)),
inference(subst,[],[refute_0_159:[bind(X,$fot(t5)),bind(X_26,$fot(t4))]]) ).
cnf(refute_0_979,plain,
( not(or(not(t5),t4)) != and(t5,not(t4))
| not(or(not(t5),t4)) != not(t4)
| and(t5,not(t4)) = not(t4) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(t5),t4)),not(t4)) ),[0],$fot(and(t5,not(t4)))]]) ).
cnf(refute_0_980,plain,
( not(or(not(t5),t4)) != not(t4)
| and(t5,not(t4)) = not(t4) ),
inference(resolve,[$cnf( $equal(not(or(not(t5),t4)),and(t5,not(t4))) )],[refute_0_978,refute_0_979]) ).
cnf(refute_0_981,plain,
and(t5,not(t4)) = not(t4),
inference(resolve,[$cnf( $equal(not(or(not(t5),t4)),not(t4)) )],[refute_0_977,refute_0_980]) ).
cnf(refute_0_982,plain,
and(not(t4),t5) = and(t5,not(t4)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t5)),bind(Y,$fot(not(t4)))]]) ).
cnf(refute_0_983,plain,
( and(not(t4),t5) != and(t5,not(t4))
| and(t5,not(t4)) != not(t4)
| and(not(t4),t5) = not(t4) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t4),t5))),bind(Y0,$fot(and(t5,not(t4)))),bind(Z0,$fot(not(t4)))]]) ).
cnf(refute_0_984,plain,
( and(t5,not(t4)) != not(t4)
| and(not(t4),t5) = not(t4) ),
inference(resolve,[$cnf( $equal(and(not(t4),t5),and(t5,not(t4))) )],[refute_0_982,refute_0_983]) ).
cnf(refute_0_985,plain,
and(not(t4),t5) = not(t4),
inference(resolve,[$cnf( $equal(and(t5,not(t4)),not(t4)) )],[refute_0_981,refute_0_984]) ).
cnf(refute_0_986,plain,
or(not(t5),and(not(t4),t5)) = or(not(t5),and(not(t4),t5)),
introduced(tautology,[refl,[$fot(or(not(t5),and(not(t4),t5)))]]) ).
cnf(refute_0_987,plain,
( and(not(t4),t5) != not(t4)
| or(not(t5),and(not(t4),t5)) != or(not(t5),and(not(t4),t5))
| or(not(t5),and(not(t4),t5)) = or(not(t5),not(t4)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t5),and(not(t4),t5)),or(not(t5),and(not(t4),t5))) ),[1,1],$fot(not(t4))]]) ).
cnf(refute_0_988,plain,
( and(not(t4),t5) != not(t4)
| or(not(t5),and(not(t4),t5)) = or(not(t5),not(t4)) ),
inference(resolve,[$cnf( $equal(or(not(t5),and(not(t4),t5)),or(not(t5),and(not(t4),t5))) )],[refute_0_986,refute_0_987]) ).
cnf(refute_0_989,plain,
or(not(t5),and(not(t4),t5)) = or(not(t5),not(t4)),
inference(resolve,[$cnf( $equal(and(not(t4),t5),not(t4)) )],[refute_0_985,refute_0_988]) ).
cnf(refute_0_990,plain,
( or(not(t5),and(not(t4),t5)) != or(not(t5),not(t4))
| or(not(t5),not(t4)) != t6
| or(not(t5),and(not(t4),t5)) = t6 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t5),and(not(t4),t5)))),bind(Y0,$fot(or(not(t5),not(t4)))),bind(Z0,$fot(t6))]]) ).
cnf(refute_0_991,plain,
( or(not(t5),not(t4)) != t6
| or(not(t5),and(not(t4),t5)) = t6 ),
inference(resolve,[$cnf( $equal(or(not(t5),and(not(t4),t5)),or(not(t5),not(t4))) )],[refute_0_989,refute_0_990]) ).
cnf(refute_0_992,plain,
or(not(t5),and(not(t4),t5)) = t6,
inference(resolve,[$cnf( $equal(or(not(t5),not(t4)),t6) )],[refute_0_973,refute_0_991]) ).
cnf(refute_0_993,plain,
( or(not(t5),and(not(t4),t5)) != t6
| or(not(t5),and(not(t4),t5)) != xor(t4,t5)
| t6 = xor(t4,t5) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t5),and(not(t4),t5)),xor(t4,t5)) ),[0],$fot(t6)]]) ).
cnf(refute_0_994,plain,
( or(not(t5),and(not(t4),t5)) != xor(t4,t5)
| t6 = xor(t4,t5) ),
inference(resolve,[$cnf( $equal(or(not(t5),and(not(t4),t5)),t6) )],[refute_0_992,refute_0_993]) ).
cnf(refute_0_995,plain,
t6 = xor(t4,t5),
inference(resolve,[$cnf( $equal(or(not(t5),and(not(t4),t5)),xor(t4,t5)) )],[refute_0_965,refute_0_994]) ).
cnf(refute_0_996,plain,
( t6 != xor(t4,t5)
| xor(t4,t5) = t6 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(t6)),bind(Y0,$fot(xor(t4,t5)))]]) ).
cnf(refute_0_997,plain,
xor(t4,t5) = t6,
inference(resolve,[$cnf( $equal(t6,xor(t4,t5)) )],[refute_0_995,refute_0_996]) ).
cnf(refute_0_998,plain,
( xor(t4,t5) != t6
| xor(t4,xor(t5,X_335)) != xor(xor(t4,t5),X_335)
| xor(t4,xor(t5,X_335)) = xor(t6,X_335) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,xor(t5,X_335)),xor(xor(t4,t5),X_335)) ),[1,0],$fot(t6)]]) ).
cnf(refute_0_999,plain,
( xor(t4,xor(t5,X_335)) != xor(xor(t4,t5),X_335)
| xor(t4,xor(t5,X_335)) = xor(t6,X_335) ),
inference(resolve,[$cnf( $equal(xor(t4,t5),t6) )],[refute_0_997,refute_0_998]) ).
cnf(refute_0_1000,plain,
xor(t4,xor(t5,X_335)) = xor(t6,X_335),
inference(resolve,[$cnf( $equal(xor(t4,xor(t5,X_335)),xor(xor(t4,t5),X_335)) )],[refute_0_949,refute_0_999]) ).
cnf(refute_0_1001,plain,
xor(t4,xor(t5,t7)) = xor(t6,t7),
inference(subst,[],[refute_0_1000:[bind(X_335,$fot(t7))]]) ).
cnf(refute_0_1002,plain,
xor(X_333,xor(X_334,X_335)) = xor(xor(X_333,X_334),X_335),
inference(subst,[],[xor_associative:[bind(X,$fot(X_333)),bind(Y,$fot(X_334)),bind(Z,$fot(X_335))]]) ).
cnf(refute_0_1003,plain,
xor(X_334,X_333) = xor(X_333,X_334),
inference(subst,[],[xor_commutative:[bind(X,$fot(X_334)),bind(Y,$fot(X_333))]]) ).
cnf(refute_0_1004,plain,
( xor(X_334,X_333) != xor(X_333,X_334)
| xor(X_333,X_334) = xor(X_334,X_333) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X_334,X_333))),bind(Y0,$fot(xor(X_333,X_334)))]]) ).
cnf(refute_0_1005,plain,
xor(X_333,X_334) = xor(X_334,X_333),
inference(resolve,[$cnf( $equal(xor(X_334,X_333),xor(X_333,X_334)) )],[refute_0_1003,refute_0_1004]) ).
cnf(refute_0_1006,plain,
( xor(X_333,X_334) != xor(X_334,X_333)
| xor(X_333,xor(X_334,X_335)) != xor(xor(X_333,X_334),X_335)
| xor(X_333,xor(X_334,X_335)) = xor(xor(X_334,X_333),X_335) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,xor(X_334,X_335)),xor(xor(X_333,X_334),X_335)) ),[1,0],$fot(xor(X_334,X_333))]]) ).
cnf(refute_0_1007,plain,
( xor(X_333,xor(X_334,X_335)) != xor(xor(X_333,X_334),X_335)
| xor(X_333,xor(X_334,X_335)) = xor(xor(X_334,X_333),X_335) ),
inference(resolve,[$cnf( $equal(xor(X_333,X_334),xor(X_334,X_333)) )],[refute_0_1005,refute_0_1006]) ).
cnf(refute_0_1008,plain,
xor(X_333,xor(X_334,X_335)) = xor(xor(X_334,X_333),X_335),
inference(resolve,[$cnf( $equal(xor(X_333,xor(X_334,X_335)),xor(xor(X_333,X_334),X_335)) )],[refute_0_1002,refute_0_1007]) ).
cnf(refute_0_1009,plain,
xor(xor(X_334,X_333),X_335) = xor(X_334,xor(X_333,X_335)),
inference(subst,[],[refute_0_526:[bind(X,$fot(X_334)),bind(Y,$fot(X_333)),bind(Z,$fot(X_335))]]) ).
cnf(refute_0_1010,plain,
( xor(X_333,xor(X_334,X_335)) != xor(xor(X_334,X_333),X_335)
| xor(xor(X_334,X_333),X_335) != xor(X_334,xor(X_333,X_335))
| xor(X_333,xor(X_334,X_335)) = xor(X_334,xor(X_333,X_335)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(X_333,xor(X_334,X_335)),xor(X_334,xor(X_333,X_335))) ),[0],$fot(xor(xor(X_334,X_333),X_335))]]) ).
cnf(refute_0_1011,plain,
( xor(X_333,xor(X_334,X_335)) != xor(xor(X_334,X_333),X_335)
| xor(X_333,xor(X_334,X_335)) = xor(X_334,xor(X_333,X_335)) ),
inference(resolve,[$cnf( $equal(xor(xor(X_334,X_333),X_335),xor(X_334,xor(X_333,X_335))) )],[refute_0_1009,refute_0_1010]) ).
cnf(refute_0_1012,plain,
xor(X_333,xor(X_334,X_335)) = xor(X_334,xor(X_333,X_335)),
inference(resolve,[$cnf( $equal(xor(X_333,xor(X_334,X_335)),xor(xor(X_334,X_333),X_335)) )],[refute_0_1008,refute_0_1011]) ).
cnf(refute_0_1013,plain,
( xor(X_333,xor(X_334,X_335)) != xor(X_334,xor(X_333,X_335))
| xor(X_334,xor(X_333,X_335)) = xor(X_333,xor(X_334,X_335)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X_333,xor(X_334,X_335)))),bind(Y0,$fot(xor(X_334,xor(X_333,X_335))))]]) ).
cnf(refute_0_1014,plain,
xor(X_334,xor(X_333,X_335)) = xor(X_333,xor(X_334,X_335)),
inference(resolve,[$cnf( $equal(xor(X_333,xor(X_334,X_335)),xor(X_334,xor(X_333,X_335))) )],[refute_0_1012,refute_0_1013]) ).
cnf(refute_0_1015,plain,
xor(t5,xor(t4,t7)) = xor(t4,xor(t5,t7)),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(t4)),bind(X_334,$fot(t5)),bind(X_335,$fot(t7))]]) ).
cnf(refute_0_1016,plain,
( xor(t4,xor(t5,t7)) != xor(t6,t7)
| xor(t5,xor(t4,t7)) != xor(t4,xor(t5,t7))
| xor(t5,xor(t4,t7)) = xor(t6,t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t5,xor(t4,t7)))),bind(Y0,$fot(xor(t4,xor(t5,t7)))),bind(Z0,$fot(xor(t6,t7)))]]) ).
cnf(refute_0_1017,plain,
( xor(t4,xor(t5,t7)) != xor(t6,t7)
| xor(t5,xor(t4,t7)) = xor(t6,t7) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(t4,t7)),xor(t4,xor(t5,t7))) )],[refute_0_1015,refute_0_1016]) ).
cnf(refute_0_1018,plain,
xor(t5,xor(t4,t7)) = xor(t6,t7),
inference(resolve,[$cnf( $equal(xor(t4,xor(t5,t7)),xor(t6,t7)) )],[refute_0_1001,refute_0_1017]) ).
cnf(refute_0_1019,plain,
or(not(t7),xor(t5,xor(t4,t7))) = or(not(t7),xor(t5,xor(t4,t7))),
introduced(tautology,[refl,[$fot(or(not(t7),xor(t5,xor(t4,t7))))]]) ).
cnf(refute_0_1020,plain,
( or(not(t7),xor(t5,xor(t4,t7))) != or(not(t7),xor(t5,xor(t4,t7)))
| xor(t5,xor(t4,t7)) != xor(t6,t7)
| or(not(t7),xor(t5,xor(t4,t7))) = or(not(t7),xor(t6,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t7),xor(t5,xor(t4,t7))),or(not(t7),xor(t5,xor(t4,t7)))) ),[1,1],$fot(xor(t6,t7))]]) ).
cnf(refute_0_1021,plain,
( xor(t5,xor(t4,t7)) != xor(t6,t7)
| or(not(t7),xor(t5,xor(t4,t7))) = or(not(t7),xor(t6,t7)) ),
inference(resolve,[$cnf( $equal(or(not(t7),xor(t5,xor(t4,t7))),or(not(t7),xor(t5,xor(t4,t7)))) )],[refute_0_1019,refute_0_1020]) ).
cnf(refute_0_1022,plain,
or(not(t7),xor(t5,xor(t4,t7))) = or(not(t7),xor(t6,t7)),
inference(resolve,[$cnf( $equal(xor(t5,xor(t4,t7)),xor(t6,t7)) )],[refute_0_1018,refute_0_1021]) ).
cnf(refute_0_1023,plain,
or(t4,or(not(t7),xor(t5,xor(t4,t7)))) = or(t4,or(not(t7),xor(t5,xor(t4,t7)))),
introduced(tautology,[refl,[$fot(or(t4,or(not(t7),xor(t5,xor(t4,t7)))))]]) ).
cnf(refute_0_1024,plain,
( or(not(t7),xor(t5,xor(t4,t7))) != or(not(t7),xor(t6,t7))
| or(t4,or(not(t7),xor(t5,xor(t4,t7)))) != or(t4,or(not(t7),xor(t5,xor(t4,t7))))
| or(t4,or(not(t7),xor(t5,xor(t4,t7)))) = or(t4,or(not(t7),xor(t6,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,or(not(t7),xor(t5,xor(t4,t7)))),or(t4,or(not(t7),xor(t5,xor(t4,t7))))) ),[1,1],$fot(or(not(t7),xor(t6,t7)))]]) ).
cnf(refute_0_1025,plain,
( or(not(t7),xor(t5,xor(t4,t7))) != or(not(t7),xor(t6,t7))
| or(t4,or(not(t7),xor(t5,xor(t4,t7)))) = or(t4,or(not(t7),xor(t6,t7))) ),
inference(resolve,[$cnf( $equal(or(t4,or(not(t7),xor(t5,xor(t4,t7)))),or(t4,or(not(t7),xor(t5,xor(t4,t7))))) )],[refute_0_1023,refute_0_1024]) ).
cnf(refute_0_1026,plain,
or(t4,or(not(t7),xor(t5,xor(t4,t7)))) = or(t4,or(not(t7),xor(t6,t7))),
inference(resolve,[$cnf( $equal(or(not(t7),xor(t5,xor(t4,t7))),or(not(t7),xor(t6,t7))) )],[refute_0_1022,refute_0_1025]) ).
cnf(refute_0_1027,plain,
( or(t4,or(not(t7),xor(t5,xor(t4,t7)))) != not(xor(t4,t7))
| or(t4,or(not(t7),xor(t5,xor(t4,t7)))) != or(t4,or(not(t7),xor(t6,t7)))
| or(t4,or(not(t7),xor(t6,t7))) = not(xor(t4,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,or(not(t7),xor(t5,xor(t4,t7)))),not(xor(t4,t7))) ),[0],$fot(or(t4,or(not(t7),xor(t6,t7))))]]) ).
cnf(refute_0_1028,plain,
( or(t4,or(not(t7),xor(t5,xor(t4,t7)))) != not(xor(t4,t7))
| or(t4,or(not(t7),xor(t6,t7))) = not(xor(t4,t7)) ),
inference(resolve,[$cnf( $equal(or(t4,or(not(t7),xor(t5,xor(t4,t7)))),or(t4,or(not(t7),xor(t6,t7)))) )],[refute_0_1026,refute_0_1027]) ).
cnf(refute_0_1029,plain,
or(t4,or(not(t7),xor(t6,t7))) = not(xor(t4,t7)),
inference(resolve,[$cnf( $equal(or(t4,or(not(t7),xor(t5,xor(t4,t7)))),not(xor(t4,t7))) )],[refute_0_948,refute_0_1028]) ).
cnf(refute_0_1030,plain,
or(t4,sum) = or(sum,t4),
inference(subst,[],[refute_0_5:[bind(X,$fot(sum)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_1031,plain,
or(sum,and(sum,not(t7))) = sum,
inference(subst,[],[or_absorption:[bind(X,$fot(sum)),bind(Y,$fot(not(t7)))]]) ).
cnf(refute_0_1032,plain,
not(or(not(sum),t7)) = not(or(t7,not(sum))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(t7)),bind(X_26,$fot(not(sum)))]]) ).
cnf(refute_0_1033,plain,
or(t7,and(t6,t7)) = t7,
inference(subst,[],[refute_0_222:[bind(X_13,$fot(t7)),bind(X_14,$fot(t6))]]) ).
cnf(refute_0_1034,plain,
not(not(and(t6,t7))) = and(t6,t7),
inference(subst,[],[not_involution:[bind(X,$fot(and(t6,t7)))]]) ).
cnf(refute_0_1035,plain,
( not(and(t6,t7)) != sum
| not(not(and(t6,t7))) != and(t6,t7)
| not(sum) = and(t6,t7) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(t6,t7))),and(t6,t7)) ),[0,0],$fot(sum)]]) ).
cnf(refute_0_1036,plain,
( not(not(and(t6,t7))) != and(t6,t7)
| not(sum) = and(t6,t7) ),
inference(resolve,[$cnf( $equal(not(and(t6,t7)),sum) )],[sum,refute_0_1035]) ).
cnf(refute_0_1037,plain,
not(sum) = and(t6,t7),
inference(resolve,[$cnf( $equal(not(not(and(t6,t7))),and(t6,t7)) )],[refute_0_1034,refute_0_1036]) ).
cnf(refute_0_1038,plain,
( not(sum) != and(t6,t7)
| and(t6,t7) = not(sum) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(sum))),bind(Y0,$fot(and(t6,t7)))]]) ).
cnf(refute_0_1039,plain,
and(t6,t7) = not(sum),
inference(resolve,[$cnf( $equal(not(sum),and(t6,t7)) )],[refute_0_1037,refute_0_1038]) ).
cnf(refute_0_1040,plain,
( and(t6,t7) != not(sum)
| or(t7,and(t6,t7)) != t7
| or(t7,not(sum)) = t7 ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,and(t6,t7)),t7) ),[0,1],$fot(not(sum))]]) ).
cnf(refute_0_1041,plain,
( or(t7,and(t6,t7)) != t7
| or(t7,not(sum)) = t7 ),
inference(resolve,[$cnf( $equal(and(t6,t7),not(sum)) )],[refute_0_1039,refute_0_1040]) ).
cnf(refute_0_1042,plain,
or(t7,not(sum)) = t7,
inference(resolve,[$cnf( $equal(or(t7,and(t6,t7)),t7) )],[refute_0_1033,refute_0_1041]) ).
cnf(refute_0_1043,plain,
( not(or(not(sum),t7)) != not(or(t7,not(sum)))
| or(t7,not(sum)) != t7
| not(or(not(sum),t7)) = not(t7) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(sum),t7)),not(or(t7,not(sum)))) ),[1,0],$fot(t7)]]) ).
cnf(refute_0_1044,plain,
( not(or(not(sum),t7)) != not(or(t7,not(sum)))
| not(or(not(sum),t7)) = not(t7) ),
inference(resolve,[$cnf( $equal(or(t7,not(sum)),t7) )],[refute_0_1042,refute_0_1043]) ).
cnf(refute_0_1045,plain,
not(or(not(sum),t7)) = not(t7),
inference(resolve,[$cnf( $equal(not(or(not(sum),t7)),not(or(t7,not(sum)))) )],[refute_0_1032,refute_0_1044]) ).
cnf(refute_0_1046,plain,
not(or(not(sum),t7)) = and(sum,not(t7)),
inference(subst,[],[refute_0_159:[bind(X,$fot(sum)),bind(X_26,$fot(t7))]]) ).
cnf(refute_0_1047,plain,
( not(or(not(sum),t7)) != and(sum,not(t7))
| not(or(not(sum),t7)) != not(t7)
| and(sum,not(t7)) = not(t7) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(sum),t7)),not(t7)) ),[0],$fot(and(sum,not(t7)))]]) ).
cnf(refute_0_1048,plain,
( not(or(not(sum),t7)) != not(t7)
| and(sum,not(t7)) = not(t7) ),
inference(resolve,[$cnf( $equal(not(or(not(sum),t7)),and(sum,not(t7))) )],[refute_0_1046,refute_0_1047]) ).
cnf(refute_0_1049,plain,
and(sum,not(t7)) = not(t7),
inference(resolve,[$cnf( $equal(not(or(not(sum),t7)),not(t7)) )],[refute_0_1045,refute_0_1048]) ).
cnf(refute_0_1050,plain,
( and(sum,not(t7)) != not(t7)
| or(sum,and(sum,not(t7))) != sum
| or(sum,not(t7)) = sum ),
introduced(tautology,[equality,[$cnf( $equal(or(sum,and(sum,not(t7))),sum) ),[0,1],$fot(not(t7))]]) ).
cnf(refute_0_1051,plain,
( or(sum,and(sum,not(t7))) != sum
| or(sum,not(t7)) = sum ),
inference(resolve,[$cnf( $equal(and(sum,not(t7)),not(t7)) )],[refute_0_1049,refute_0_1050]) ).
cnf(refute_0_1052,plain,
or(sum,not(t7)) = sum,
inference(resolve,[$cnf( $equal(or(sum,and(sum,not(t7))),sum) )],[refute_0_1031,refute_0_1051]) ).
cnf(refute_0_1053,plain,
or(not(t7),sum) = or(sum,not(t7)),
inference(subst,[],[refute_0_5:[bind(X,$fot(sum)),bind(Y,$fot(not(t7)))]]) ).
cnf(refute_0_1054,plain,
( or(not(t7),sum) != or(sum,not(t7))
| or(sum,not(t7)) != sum
| or(not(t7),sum) = sum ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t7),sum))),bind(Y0,$fot(or(sum,not(t7)))),bind(Z0,$fot(sum))]]) ).
cnf(refute_0_1055,plain,
( or(sum,not(t7)) != sum
| or(not(t7),sum) = sum ),
inference(resolve,[$cnf( $equal(or(not(t7),sum),or(sum,not(t7))) )],[refute_0_1053,refute_0_1054]) ).
cnf(refute_0_1056,plain,
or(not(t7),sum) = sum,
inference(resolve,[$cnf( $equal(or(sum,not(t7)),sum) )],[refute_0_1052,refute_0_1055]) ).
cnf(refute_0_1057,plain,
not(not(xor(t6,t7))) = xor(t6,t7),
inference(subst,[],[not_involution:[bind(X,$fot(xor(t6,t7)))]]) ).
cnf(refute_0_1058,plain,
or(and(t6,not(and(cin,X_55))),and(not(t6),and(cin,X_55))) = xor(t6,and(cin,X_55)),
inference(subst,[],[refute_0_9:[bind(X,$fot(t6)),bind(Y,$fot(and(cin,X_55)))]]) ).
cnf(refute_0_1059,plain,
not(or(t6,not(and(cin,X_55)))) = and(not(t6),not(not(and(cin,X_55)))),
inference(subst,[],[or_demorgan:[bind(X,$fot(t6)),bind(Y,$fot(not(and(cin,X_55))))]]) ).
cnf(refute_0_1060,plain,
ll1 = or(t6,or(not(cin),not(Y))),
inference(subst,[],[refute_0_722:[bind(X_39,$fot(not(Y)))]]) ).
cnf(refute_0_1061,plain,
not(and(cin,Y)) = or(not(cin),not(Y)),
inference(subst,[],[and_demorgan:[bind(X,$fot(cin))]]) ).
cnf(refute_0_1062,plain,
( not(and(cin,Y)) != or(not(cin),not(Y))
| or(not(cin),not(Y)) = not(and(cin,Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(cin,Y)))),bind(Y0,$fot(or(not(cin),not(Y))))]]) ).
cnf(refute_0_1063,plain,
or(not(cin),not(Y)) = not(and(cin,Y)),
inference(resolve,[$cnf( $equal(not(and(cin,Y)),or(not(cin),not(Y))) )],[refute_0_1061,refute_0_1062]) ).
cnf(refute_0_1064,plain,
( ll1 != or(t6,or(not(cin),not(Y)))
| or(not(cin),not(Y)) != not(and(cin,Y))
| ll1 = or(t6,not(and(cin,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t6,or(not(cin),not(Y)))) ),[1,1],$fot(not(and(cin,Y)))]]) ).
cnf(refute_0_1065,plain,
( ll1 != or(t6,or(not(cin),not(Y)))
| ll1 = or(t6,not(and(cin,Y))) ),
inference(resolve,[$cnf( $equal(or(not(cin),not(Y)),not(and(cin,Y))) )],[refute_0_1063,refute_0_1064]) ).
cnf(refute_0_1066,plain,
ll1 = or(t6,not(and(cin,Y))),
inference(resolve,[$cnf( $equal(ll1,or(t6,or(not(cin),not(Y)))) )],[refute_0_1060,refute_0_1065]) ).
cnf(refute_0_1067,plain,
ll1 = or(t6,not(and(cin,X_55))),
inference(subst,[],[refute_0_1066:[bind(Y,$fot(X_55))]]) ).
cnf(refute_0_1068,plain,
( ll1 != or(t6,not(and(cin,X_55)))
| or(t6,not(and(cin,X_55))) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(t6,not(and(cin,X_55)))))]]) ).
cnf(refute_0_1069,plain,
or(t6,not(and(cin,X_55))) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(t6,not(and(cin,X_55)))) )],[refute_0_1067,refute_0_1068]) ).
cnf(refute_0_1070,plain,
( not(or(t6,not(and(cin,X_55)))) != and(not(t6),not(not(and(cin,X_55))))
| or(t6,not(and(cin,X_55))) != ll1
| not(ll1) = and(not(t6),not(not(and(cin,X_55)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t6,not(and(cin,X_55)))),and(not(t6),not(not(and(cin,X_55))))) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_1071,plain,
( not(or(t6,not(and(cin,X_55)))) != and(not(t6),not(not(and(cin,X_55))))
| not(ll1) = and(not(t6),not(not(and(cin,X_55)))) ),
inference(resolve,[$cnf( $equal(or(t6,not(and(cin,X_55))),ll1) )],[refute_0_1069,refute_0_1070]) ).
cnf(refute_0_1072,plain,
not(ll1) = and(not(t6),not(not(and(cin,X_55)))),
inference(resolve,[$cnf( $equal(not(or(t6,not(and(cin,X_55)))),and(not(t6),not(not(and(cin,X_55))))) )],[refute_0_1059,refute_0_1071]) ).
cnf(refute_0_1073,plain,
( not(ll1) != and(not(t6),not(not(and(cin,X_55))))
| not(ll1) != ll0
| ll0 = and(not(t6),not(not(and(cin,X_55)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(ll1),and(not(t6),not(not(and(cin,X_55))))) ),[0],$fot(ll0)]]) ).
cnf(refute_0_1074,plain,
( not(ll1) != and(not(t6),not(not(and(cin,X_55))))
| ll0 = and(not(t6),not(not(and(cin,X_55)))) ),
inference(resolve,[$cnf( $equal(not(ll1),ll0) )],[ll1_inverse,refute_0_1073]) ).
cnf(refute_0_1075,plain,
not(or(t6,not(and(cin,X_55)))) = and(not(t6),and(cin,X_55)),
inference(subst,[],[refute_0_801:[bind(X,$fot(and(cin,X_55))),bind(X_25,$fot(t6))]]) ).
cnf(refute_0_1076,plain,
and(not(t6),not(not(and(cin,X_55)))) = not(or(t6,not(and(cin,X_55)))),
inference(subst,[],[refute_0_101:[bind(X,$fot(t6)),bind(Y,$fot(not(and(cin,X_55))))]]) ).
cnf(refute_0_1077,plain,
( and(not(t6),not(not(and(cin,X_55)))) != not(or(t6,not(and(cin,X_55))))
| not(or(t6,not(and(cin,X_55)))) != and(not(t6),and(cin,X_55))
| and(not(t6),not(not(and(cin,X_55)))) = and(not(t6),and(cin,X_55)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t6),not(not(and(cin,X_55)))))),bind(Y0,$fot(not(or(t6,not(and(cin,X_55)))))),bind(Z0,$fot(and(not(t6),and(cin,X_55))))]]) ).
cnf(refute_0_1078,plain,
( not(or(t6,not(and(cin,X_55)))) != and(not(t6),and(cin,X_55))
| and(not(t6),not(not(and(cin,X_55)))) = and(not(t6),and(cin,X_55)) ),
inference(resolve,[$cnf( $equal(and(not(t6),not(not(and(cin,X_55)))),not(or(t6,not(and(cin,X_55))))) )],[refute_0_1076,refute_0_1077]) ).
cnf(refute_0_1079,plain,
and(not(t6),not(not(and(cin,X_55)))) = and(not(t6),and(cin,X_55)),
inference(resolve,[$cnf( $equal(not(or(t6,not(and(cin,X_55)))),and(not(t6),and(cin,X_55))) )],[refute_0_1075,refute_0_1078]) ).
cnf(refute_0_1080,plain,
( and(not(t6),not(not(and(cin,X_55)))) != and(not(t6),and(cin,X_55))
| ll0 != and(not(t6),not(not(and(cin,X_55))))
| ll0 = and(not(t6),and(cin,X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(not(t6),not(not(and(cin,X_55))))) ),[1],$fot(and(not(t6),and(cin,X_55)))]]) ).
cnf(refute_0_1081,plain,
( ll0 != and(not(t6),not(not(and(cin,X_55))))
| ll0 = and(not(t6),and(cin,X_55)) ),
inference(resolve,[$cnf( $equal(and(not(t6),not(not(and(cin,X_55)))),and(not(t6),and(cin,X_55))) )],[refute_0_1079,refute_0_1080]) ).
cnf(refute_0_1082,plain,
( not(ll1) != and(not(t6),not(not(and(cin,X_55))))
| ll0 = and(not(t6),and(cin,X_55)) ),
inference(resolve,[$cnf( $equal(ll0,and(not(t6),not(not(and(cin,X_55))))) )],[refute_0_1074,refute_0_1081]) ).
cnf(refute_0_1083,plain,
ll0 = and(not(t6),and(cin,X_55)),
inference(resolve,[$cnf( $equal(not(ll1),and(not(t6),not(not(and(cin,X_55))))) )],[refute_0_1072,refute_0_1082]) ).
cnf(refute_0_1084,plain,
( ll0 != and(not(t6),and(cin,X_55))
| and(not(t6),and(cin,X_55)) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(not(t6),and(cin,X_55))))]]) ).
cnf(refute_0_1085,plain,
and(not(t6),and(cin,X_55)) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(not(t6),and(cin,X_55))) )],[refute_0_1083,refute_0_1084]) ).
cnf(refute_0_1086,plain,
( and(not(t6),and(cin,X_55)) != ll0
| or(and(t6,not(and(cin,X_55))),and(not(t6),and(cin,X_55))) != xor(t6,and(cin,X_55))
| or(and(t6,not(and(cin,X_55))),ll0) = xor(t6,and(cin,X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,not(and(cin,X_55))),and(not(t6),and(cin,X_55))),xor(t6,and(cin,X_55))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_1087,plain,
( or(and(t6,not(and(cin,X_55))),and(not(t6),and(cin,X_55))) != xor(t6,and(cin,X_55))
| or(and(t6,not(and(cin,X_55))),ll0) = xor(t6,and(cin,X_55)) ),
inference(resolve,[$cnf( $equal(and(not(t6),and(cin,X_55)),ll0) )],[refute_0_1085,refute_0_1086]) ).
cnf(refute_0_1088,plain,
or(and(t6,not(and(cin,X_55))),ll0) = xor(t6,and(cin,X_55)),
inference(resolve,[$cnf( $equal(or(and(t6,not(and(cin,X_55))),and(not(t6),and(cin,X_55))),xor(t6,and(cin,X_55))) )],[refute_0_1058,refute_0_1087]) ).
cnf(refute_0_1089,plain,
or(and(t6,not(and(cin,X_55))),ll0) = and(t6,not(and(cin,X_55))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t6,not(and(cin,X_55)))))]]) ).
cnf(refute_0_1090,plain,
( or(and(t6,not(and(cin,X_55))),ll0) != and(t6,not(and(cin,X_55)))
| or(and(t6,not(and(cin,X_55))),ll0) != xor(t6,and(cin,X_55))
| and(t6,not(and(cin,X_55))) = xor(t6,and(cin,X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,not(and(cin,X_55))),ll0),xor(t6,and(cin,X_55))) ),[0],$fot(and(t6,not(and(cin,X_55))))]]) ).
cnf(refute_0_1091,plain,
( or(and(t6,not(and(cin,X_55))),ll0) != xor(t6,and(cin,X_55))
| and(t6,not(and(cin,X_55))) = xor(t6,and(cin,X_55)) ),
inference(resolve,[$cnf( $equal(or(and(t6,not(and(cin,X_55))),ll0),and(t6,not(and(cin,X_55)))) )],[refute_0_1089,refute_0_1090]) ).
cnf(refute_0_1092,plain,
and(t6,not(and(cin,X_55))) = xor(t6,and(cin,X_55)),
inference(resolve,[$cnf( $equal(or(and(t6,not(and(cin,X_55))),ll0),xor(t6,and(cin,X_55))) )],[refute_0_1088,refute_0_1091]) ).
cnf(refute_0_1093,plain,
and(t6,not(and(cin,not(t7)))) = xor(t6,and(cin,not(t7))),
inference(subst,[],[refute_0_1092:[bind(X_55,$fot(not(t7)))]]) ).
cnf(refute_0_1094,plain,
and(not(t7),or(cin,not(t7))) = not(t7),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(not(t7))),bind(X_20,$fot(cin))]]) ).
cnf(refute_0_1095,plain,
( and(not(t7),or(cin,not(t7))) != not(t7)
| or(cin,not(t7)) != cin
| and(not(t7),cin) = not(t7) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t7),or(cin,not(t7))),not(t7)) ),[0,1],$fot(cin)]]) ).
cnf(refute_0_1096,plain,
( and(not(t7),or(cin,not(t7))) != not(t7)
| and(not(t7),cin) = not(t7) ),
inference(resolve,[$cnf( $equal(or(cin,not(t7)),cin) )],[refute_0_736,refute_0_1095]) ).
cnf(refute_0_1097,plain,
and(not(t7),cin) = not(t7),
inference(resolve,[$cnf( $equal(and(not(t7),or(cin,not(t7))),not(t7)) )],[refute_0_1094,refute_0_1096]) ).
cnf(refute_0_1098,plain,
and(not(t7),cin) = and(cin,not(t7)),
inference(subst,[],[refute_0_116:[bind(X,$fot(cin)),bind(Y,$fot(not(t7)))]]) ).
cnf(refute_0_1099,plain,
( and(not(t7),cin) != and(cin,not(t7))
| and(not(t7),cin) != not(t7)
| and(cin,not(t7)) = not(t7) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t7),cin),not(t7)) ),[0],$fot(and(cin,not(t7)))]]) ).
cnf(refute_0_1100,plain,
( and(not(t7),cin) != not(t7)
| and(cin,not(t7)) = not(t7) ),
inference(resolve,[$cnf( $equal(and(not(t7),cin),and(cin,not(t7))) )],[refute_0_1098,refute_0_1099]) ).
cnf(refute_0_1101,plain,
and(cin,not(t7)) = not(t7),
inference(resolve,[$cnf( $equal(and(not(t7),cin),not(t7)) )],[refute_0_1097,refute_0_1100]) ).
cnf(refute_0_1102,plain,
( and(cin,not(t7)) != not(t7)
| and(t6,not(and(cin,not(t7)))) != xor(t6,and(cin,not(t7)))
| and(t6,not(not(t7))) = xor(t6,and(cin,not(t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(and(cin,not(t7)))),xor(t6,and(cin,not(t7)))) ),[0,1,0],$fot(not(t7))]]) ).
cnf(refute_0_1103,plain,
( and(t6,not(and(cin,not(t7)))) != xor(t6,and(cin,not(t7)))
| and(t6,not(not(t7))) = xor(t6,and(cin,not(t7))) ),
inference(resolve,[$cnf( $equal(and(cin,not(t7)),not(t7)) )],[refute_0_1101,refute_0_1102]) ).
cnf(refute_0_1104,plain,
and(t6,not(not(t7))) = xor(t6,and(cin,not(t7))),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,not(t7)))),xor(t6,and(cin,not(t7)))) )],[refute_0_1093,refute_0_1103]) ).
cnf(refute_0_1105,plain,
not(not(t7)) = t7,
inference(subst,[],[not_involution:[bind(X,$fot(t7))]]) ).
cnf(refute_0_1106,plain,
and(t6,not(not(t7))) = and(t6,not(not(t7))),
introduced(tautology,[refl,[$fot(and(t6,not(not(t7))))]]) ).
cnf(refute_0_1107,plain,
( and(t6,not(not(t7))) != and(t6,not(not(t7)))
| not(not(t7)) != t7
| and(t6,not(not(t7))) = and(t6,t7) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(not(t7))),and(t6,not(not(t7)))) ),[1,1],$fot(t7)]]) ).
cnf(refute_0_1108,plain,
( not(not(t7)) != t7
| and(t6,not(not(t7))) = and(t6,t7) ),
inference(resolve,[$cnf( $equal(and(t6,not(not(t7))),and(t6,not(not(t7)))) )],[refute_0_1106,refute_0_1107]) ).
cnf(refute_0_1109,plain,
and(t6,not(not(t7))) = and(t6,t7),
inference(resolve,[$cnf( $equal(not(not(t7)),t7) )],[refute_0_1105,refute_0_1108]) ).
cnf(refute_0_1110,plain,
( and(t6,not(not(t7))) != and(t6,t7)
| and(t6,t7) != not(sum)
| and(t6,not(not(t7))) = not(sum) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t6,not(not(t7))))),bind(Y0,$fot(and(t6,t7))),bind(Z0,$fot(not(sum)))]]) ).
cnf(refute_0_1111,plain,
( and(t6,t7) != not(sum)
| and(t6,not(not(t7))) = not(sum) ),
inference(resolve,[$cnf( $equal(and(t6,not(not(t7))),and(t6,t7)) )],[refute_0_1109,refute_0_1110]) ).
cnf(refute_0_1112,plain,
and(t6,not(not(t7))) = not(sum),
inference(resolve,[$cnf( $equal(and(t6,t7),not(sum)) )],[refute_0_1039,refute_0_1111]) ).
cnf(refute_0_1113,plain,
( and(t6,not(not(t7))) != not(sum)
| and(t6,not(not(t7))) != xor(t6,and(cin,not(t7)))
| not(sum) = xor(t6,and(cin,not(t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(not(t7))),xor(t6,and(cin,not(t7)))) ),[0],$fot(not(sum))]]) ).
cnf(refute_0_1114,plain,
( and(t6,not(not(t7))) != xor(t6,and(cin,not(t7)))
| not(sum) = xor(t6,and(cin,not(t7))) ),
inference(resolve,[$cnf( $equal(and(t6,not(not(t7))),not(sum)) )],[refute_0_1112,refute_0_1113]) ).
cnf(refute_0_1115,plain,
xor(t6,and(cin,not(t7))) = xor(t6,and(cin,not(t7))),
introduced(tautology,[refl,[$fot(xor(t6,and(cin,not(t7))))]]) ).
cnf(refute_0_1116,plain,
( and(cin,not(t7)) != not(t7)
| xor(t6,and(cin,not(t7))) != xor(t6,and(cin,not(t7)))
| xor(t6,and(cin,not(t7))) = xor(t6,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,and(cin,not(t7))),xor(t6,and(cin,not(t7)))) ),[1,1],$fot(not(t7))]]) ).
cnf(refute_0_1117,plain,
( and(cin,not(t7)) != not(t7)
| xor(t6,and(cin,not(t7))) = xor(t6,not(t7)) ),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,not(t7))),xor(t6,and(cin,not(t7)))) )],[refute_0_1115,refute_0_1116]) ).
cnf(refute_0_1118,plain,
xor(t6,and(cin,not(t7))) = xor(t6,not(t7)),
inference(resolve,[$cnf( $equal(and(cin,not(t7)),not(t7)) )],[refute_0_1101,refute_0_1117]) ).
cnf(refute_0_1119,plain,
( not(sum) != xor(t6,and(cin,not(t7)))
| xor(t6,and(cin,not(t7))) != xor(t6,not(t7))
| not(sum) = xor(t6,not(t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(sum),xor(t6,not(t7))) ),[0],$fot(xor(t6,and(cin,not(t7))))]]) ).
cnf(refute_0_1120,plain,
( not(sum) != xor(t6,and(cin,not(t7)))
| not(sum) = xor(t6,not(t7)) ),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,not(t7))),xor(t6,not(t7))) )],[refute_0_1118,refute_0_1119]) ).
cnf(refute_0_1121,plain,
( and(t6,not(not(t7))) != xor(t6,and(cin,not(t7)))
| not(sum) = xor(t6,not(t7)) ),
inference(resolve,[$cnf( $equal(not(sum),xor(t6,and(cin,not(t7)))) )],[refute_0_1114,refute_0_1120]) ).
cnf(refute_0_1122,plain,
not(sum) = xor(t6,not(t7)),
inference(resolve,[$cnf( $equal(and(t6,not(not(t7))),xor(t6,and(cin,not(t7)))) )],[refute_0_1104,refute_0_1121]) ).
cnf(refute_0_1123,plain,
not(xor(X_333,X_334)) = xor(xor(X_333,X_334),ll1),
inference(subst,[],[refute_0_585:[bind(X_63,$fot(xor(X_333,X_334)))]]) ).
cnf(refute_0_1124,plain,
xor(X_333,xor(X_334,ll1)) = xor(xor(X_333,X_334),ll1),
inference(subst,[],[xor_associative:[bind(X,$fot(X_333)),bind(Y,$fot(X_334)),bind(Z,$fot(ll1))]]) ).
cnf(refute_0_1125,plain,
( xor(X_333,xor(X_334,ll1)) != xor(xor(X_333,X_334),ll1)
| xor(xor(X_333,X_334),ll1) = xor(X_333,xor(X_334,ll1)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X_333,xor(X_334,ll1)))),bind(Y0,$fot(xor(xor(X_333,X_334),ll1)))]]) ).
cnf(refute_0_1126,plain,
xor(xor(X_333,X_334),ll1) = xor(X_333,xor(X_334,ll1)),
inference(resolve,[$cnf( $equal(xor(X_333,xor(X_334,ll1)),xor(xor(X_333,X_334),ll1)) )],[refute_0_1124,refute_0_1125]) ).
cnf(refute_0_1127,plain,
( not(xor(X_333,X_334)) != xor(xor(X_333,X_334),ll1)
| xor(xor(X_333,X_334),ll1) != xor(X_333,xor(X_334,ll1))
| not(xor(X_333,X_334)) = xor(X_333,xor(X_334,ll1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(X_333,X_334)),xor(X_333,xor(X_334,ll1))) ),[0],$fot(xor(xor(X_333,X_334),ll1))]]) ).
cnf(refute_0_1128,plain,
( not(xor(X_333,X_334)) != xor(xor(X_333,X_334),ll1)
| not(xor(X_333,X_334)) = xor(X_333,xor(X_334,ll1)) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,X_334),ll1),xor(X_333,xor(X_334,ll1))) )],[refute_0_1126,refute_0_1127]) ).
cnf(refute_0_1129,plain,
not(xor(X_333,X_334)) = xor(X_333,xor(X_334,ll1)),
inference(resolve,[$cnf( $equal(not(xor(X_333,X_334)),xor(xor(X_333,X_334),ll1)) )],[refute_0_1123,refute_0_1128]) ).
cnf(refute_0_1130,plain,
xor(X_334,ll1) = not(X_334),
inference(subst,[],[refute_0_587:[bind(X_63,$fot(X_334))]]) ).
cnf(refute_0_1131,plain,
xor(X_333,xor(X_334,ll1)) = xor(X_333,xor(X_334,ll1)),
introduced(tautology,[refl,[$fot(xor(X_333,xor(X_334,ll1)))]]) ).
cnf(refute_0_1132,plain,
( xor(X_333,xor(X_334,ll1)) != xor(X_333,xor(X_334,ll1))
| xor(X_334,ll1) != not(X_334)
| xor(X_333,xor(X_334,ll1)) = xor(X_333,not(X_334)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,xor(X_334,ll1)),xor(X_333,xor(X_334,ll1))) ),[1,1],$fot(not(X_334))]]) ).
cnf(refute_0_1133,plain,
( xor(X_334,ll1) != not(X_334)
| xor(X_333,xor(X_334,ll1)) = xor(X_333,not(X_334)) ),
inference(resolve,[$cnf( $equal(xor(X_333,xor(X_334,ll1)),xor(X_333,xor(X_334,ll1))) )],[refute_0_1131,refute_0_1132]) ).
cnf(refute_0_1134,plain,
xor(X_333,xor(X_334,ll1)) = xor(X_333,not(X_334)),
inference(resolve,[$cnf( $equal(xor(X_334,ll1),not(X_334)) )],[refute_0_1130,refute_0_1133]) ).
cnf(refute_0_1135,plain,
( not(xor(X_333,X_334)) != xor(X_333,xor(X_334,ll1))
| xor(X_333,xor(X_334,ll1)) != xor(X_333,not(X_334))
| not(xor(X_333,X_334)) = xor(X_333,not(X_334)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(X_333,X_334)),xor(X_333,not(X_334))) ),[0],$fot(xor(X_333,xor(X_334,ll1)))]]) ).
cnf(refute_0_1136,plain,
( not(xor(X_333,X_334)) != xor(X_333,xor(X_334,ll1))
| not(xor(X_333,X_334)) = xor(X_333,not(X_334)) ),
inference(resolve,[$cnf( $equal(xor(X_333,xor(X_334,ll1)),xor(X_333,not(X_334))) )],[refute_0_1134,refute_0_1135]) ).
cnf(refute_0_1137,plain,
not(xor(X_333,X_334)) = xor(X_333,not(X_334)),
inference(resolve,[$cnf( $equal(not(xor(X_333,X_334)),xor(X_333,xor(X_334,ll1))) )],[refute_0_1129,refute_0_1136]) ).
cnf(refute_0_1138,plain,
( not(xor(X_333,X_334)) != xor(X_333,not(X_334))
| xor(X_333,not(X_334)) = not(xor(X_333,X_334)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(xor(X_333,X_334)))),bind(Y0,$fot(xor(X_333,not(X_334))))]]) ).
cnf(refute_0_1139,plain,
xor(X_333,not(X_334)) = not(xor(X_333,X_334)),
inference(resolve,[$cnf( $equal(not(xor(X_333,X_334)),xor(X_333,not(X_334))) )],[refute_0_1137,refute_0_1138]) ).
cnf(refute_0_1140,plain,
xor(t6,not(t7)) = not(xor(t6,t7)),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t6)),bind(X_334,$fot(t7))]]) ).
cnf(refute_0_1141,plain,
( not(sum) != xor(t6,not(t7))
| xor(t6,not(t7)) != not(xor(t6,t7))
| not(sum) = not(xor(t6,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(sum),not(xor(t6,t7))) ),[0],$fot(xor(t6,not(t7)))]]) ).
cnf(refute_0_1142,plain,
( not(sum) != xor(t6,not(t7))
| not(sum) = not(xor(t6,t7)) ),
inference(resolve,[$cnf( $equal(xor(t6,not(t7)),not(xor(t6,t7))) )],[refute_0_1140,refute_0_1141]) ).
cnf(refute_0_1143,plain,
not(sum) = not(xor(t6,t7)),
inference(resolve,[$cnf( $equal(not(sum),xor(t6,not(t7))) )],[refute_0_1122,refute_0_1142]) ).
cnf(refute_0_1144,plain,
( not(sum) != not(xor(t6,t7))
| not(xor(t6,t7)) = not(sum) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(sum))),bind(Y0,$fot(not(xor(t6,t7))))]]) ).
cnf(refute_0_1145,plain,
not(xor(t6,t7)) = not(sum),
inference(resolve,[$cnf( $equal(not(sum),not(xor(t6,t7))) )],[refute_0_1143,refute_0_1144]) ).
cnf(refute_0_1146,plain,
( not(not(xor(t6,t7))) != xor(t6,t7)
| not(xor(t6,t7)) != not(sum)
| not(not(sum)) = xor(t6,t7) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(xor(t6,t7))),xor(t6,t7)) ),[0,0],$fot(not(sum))]]) ).
cnf(refute_0_1147,plain,
( not(not(xor(t6,t7))) != xor(t6,t7)
| not(not(sum)) = xor(t6,t7) ),
inference(resolve,[$cnf( $equal(not(xor(t6,t7)),not(sum)) )],[refute_0_1145,refute_0_1146]) ).
cnf(refute_0_1148,plain,
not(not(sum)) = xor(t6,t7),
inference(resolve,[$cnf( $equal(not(not(xor(t6,t7))),xor(t6,t7)) )],[refute_0_1057,refute_0_1147]) ).
cnf(refute_0_1149,plain,
not(not(sum)) = sum,
inference(subst,[],[not_involution:[bind(X,$fot(sum))]]) ).
cnf(refute_0_1150,plain,
( not(not(sum)) != sum
| not(not(sum)) != xor(t6,t7)
| sum = xor(t6,t7) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(sum)),xor(t6,t7)) ),[0],$fot(sum)]]) ).
cnf(refute_0_1151,plain,
( not(not(sum)) != xor(t6,t7)
| sum = xor(t6,t7) ),
inference(resolve,[$cnf( $equal(not(not(sum)),sum) )],[refute_0_1149,refute_0_1150]) ).
cnf(refute_0_1152,plain,
sum = xor(t6,t7),
inference(resolve,[$cnf( $equal(not(not(sum)),xor(t6,t7)) )],[refute_0_1148,refute_0_1151]) ).
cnf(refute_0_1153,plain,
( sum != xor(t6,t7)
| xor(t6,t7) = sum ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(sum)),bind(Y0,$fot(xor(t6,t7)))]]) ).
cnf(refute_0_1154,plain,
xor(t6,t7) = sum,
inference(resolve,[$cnf( $equal(sum,xor(t6,t7)) )],[refute_0_1152,refute_0_1153]) ).
cnf(refute_0_1155,plain,
or(not(t7),xor(t6,t7)) = or(not(t7),xor(t6,t7)),
introduced(tautology,[refl,[$fot(or(not(t7),xor(t6,t7)))]]) ).
cnf(refute_0_1156,plain,
( or(not(t7),xor(t6,t7)) != or(not(t7),xor(t6,t7))
| xor(t6,t7) != sum
| or(not(t7),xor(t6,t7)) = or(not(t7),sum) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t7),xor(t6,t7)),or(not(t7),xor(t6,t7))) ),[1,1],$fot(sum)]]) ).
cnf(refute_0_1157,plain,
( xor(t6,t7) != sum
| or(not(t7),xor(t6,t7)) = or(not(t7),sum) ),
inference(resolve,[$cnf( $equal(or(not(t7),xor(t6,t7)),or(not(t7),xor(t6,t7))) )],[refute_0_1155,refute_0_1156]) ).
cnf(refute_0_1158,plain,
or(not(t7),xor(t6,t7)) = or(not(t7),sum),
inference(resolve,[$cnf( $equal(xor(t6,t7),sum) )],[refute_0_1154,refute_0_1157]) ).
cnf(refute_0_1159,plain,
( or(not(t7),sum) != sum
| or(not(t7),xor(t6,t7)) != or(not(t7),sum)
| or(not(t7),xor(t6,t7)) = sum ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t7),xor(t6,t7)))),bind(Y0,$fot(or(not(t7),sum))),bind(Z0,$fot(sum))]]) ).
cnf(refute_0_1160,plain,
( or(not(t7),sum) != sum
| or(not(t7),xor(t6,t7)) = sum ),
inference(resolve,[$cnf( $equal(or(not(t7),xor(t6,t7)),or(not(t7),sum)) )],[refute_0_1158,refute_0_1159]) ).
cnf(refute_0_1161,plain,
or(not(t7),xor(t6,t7)) = sum,
inference(resolve,[$cnf( $equal(or(not(t7),sum),sum) )],[refute_0_1056,refute_0_1160]) ).
cnf(refute_0_1162,plain,
or(t4,or(not(t7),xor(t6,t7))) = or(t4,or(not(t7),xor(t6,t7))),
introduced(tautology,[refl,[$fot(or(t4,or(not(t7),xor(t6,t7))))]]) ).
cnf(refute_0_1163,plain,
( or(not(t7),xor(t6,t7)) != sum
| or(t4,or(not(t7),xor(t6,t7))) != or(t4,or(not(t7),xor(t6,t7)))
| or(t4,or(not(t7),xor(t6,t7))) = or(t4,sum) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,or(not(t7),xor(t6,t7))),or(t4,or(not(t7),xor(t6,t7)))) ),[1,1],$fot(sum)]]) ).
cnf(refute_0_1164,plain,
( or(not(t7),xor(t6,t7)) != sum
| or(t4,or(not(t7),xor(t6,t7))) = or(t4,sum) ),
inference(resolve,[$cnf( $equal(or(t4,or(not(t7),xor(t6,t7))),or(t4,or(not(t7),xor(t6,t7)))) )],[refute_0_1162,refute_0_1163]) ).
cnf(refute_0_1165,plain,
or(t4,or(not(t7),xor(t6,t7))) = or(t4,sum),
inference(resolve,[$cnf( $equal(or(not(t7),xor(t6,t7)),sum) )],[refute_0_1161,refute_0_1164]) ).
cnf(refute_0_1166,plain,
( or(t4,or(not(t7),xor(t6,t7))) != or(t4,sum)
| or(t4,sum) != or(sum,t4)
| or(t4,or(not(t7),xor(t6,t7))) = or(sum,t4) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t4,or(not(t7),xor(t6,t7))))),bind(Y0,$fot(or(t4,sum))),bind(Z0,$fot(or(sum,t4)))]]) ).
cnf(refute_0_1167,plain,
( or(t4,sum) != or(sum,t4)
| or(t4,or(not(t7),xor(t6,t7))) = or(sum,t4) ),
inference(resolve,[$cnf( $equal(or(t4,or(not(t7),xor(t6,t7))),or(t4,sum)) )],[refute_0_1165,refute_0_1166]) ).
cnf(refute_0_1168,plain,
or(t4,or(not(t7),xor(t6,t7))) = or(sum,t4),
inference(resolve,[$cnf( $equal(or(t4,sum),or(sum,t4)) )],[refute_0_1030,refute_0_1167]) ).
cnf(refute_0_1169,plain,
( or(t4,or(not(t7),xor(t6,t7))) != not(xor(t4,t7))
| or(t4,or(not(t7),xor(t6,t7))) != or(sum,t4)
| or(sum,t4) = not(xor(t4,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,or(not(t7),xor(t6,t7))),not(xor(t4,t7))) ),[0],$fot(or(sum,t4))]]) ).
cnf(refute_0_1170,plain,
( or(t4,or(not(t7),xor(t6,t7))) != not(xor(t4,t7))
| or(sum,t4) = not(xor(t4,t7)) ),
inference(resolve,[$cnf( $equal(or(t4,or(not(t7),xor(t6,t7))),or(sum,t4)) )],[refute_0_1168,refute_0_1169]) ).
cnf(refute_0_1171,plain,
or(sum,t4) = not(xor(t4,t7)),
inference(resolve,[$cnf( $equal(or(t4,or(not(t7),xor(t6,t7))),not(xor(t4,t7))) )],[refute_0_1029,refute_0_1170]) ).
cnf(refute_0_1172,plain,
( or(sum,t4) != not(xor(t4,t7))
| not(xor(t4,t7)) = or(sum,t4) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(sum,t4))),bind(Y0,$fot(not(xor(t4,t7))))]]) ).
cnf(refute_0_1173,plain,
not(xor(t4,t7)) = or(sum,t4),
inference(resolve,[$cnf( $equal(or(sum,t4),not(xor(t4,t7))) )],[refute_0_1171,refute_0_1172]) ).
cnf(refute_0_1174,plain,
and(t3,not(xor(t4,t7))) = and(t3,not(xor(t4,t7))),
introduced(tautology,[refl,[$fot(and(t3,not(xor(t4,t7))))]]) ).
cnf(refute_0_1175,plain,
( and(t3,not(xor(t4,t7))) != and(t3,not(xor(t4,t7)))
| not(xor(t4,t7)) != or(sum,t4)
| and(t3,not(xor(t4,t7))) = and(t3,or(sum,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,not(xor(t4,t7))),and(t3,not(xor(t4,t7)))) ),[1,1],$fot(or(sum,t4))]]) ).
cnf(refute_0_1176,plain,
( not(xor(t4,t7)) != or(sum,t4)
| and(t3,not(xor(t4,t7))) = and(t3,or(sum,t4)) ),
inference(resolve,[$cnf( $equal(and(t3,not(xor(t4,t7))),and(t3,not(xor(t4,t7)))) )],[refute_0_1174,refute_0_1175]) ).
cnf(refute_0_1177,plain,
and(t3,not(xor(t4,t7))) = and(t3,or(sum,t4)),
inference(resolve,[$cnf( $equal(not(xor(t4,t7)),or(sum,t4)) )],[refute_0_1173,refute_0_1176]) ).
cnf(refute_0_1178,plain,
( and(t3,not(xor(t4,t7))) != and(t3,or(sum,t4))
| and(t3,not(xor(t4,t7))) != xor(t3,xor(t4,t7))
| and(t3,or(sum,t4)) = xor(t3,xor(t4,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,not(xor(t4,t7))),xor(t3,xor(t4,t7))) ),[0],$fot(and(t3,or(sum,t4)))]]) ).
cnf(refute_0_1179,plain,
( and(t3,not(xor(t4,t7))) != xor(t3,xor(t4,t7))
| and(t3,or(sum,t4)) = xor(t3,xor(t4,t7)) ),
inference(resolve,[$cnf( $equal(and(t3,not(xor(t4,t7))),and(t3,or(sum,t4))) )],[refute_0_1177,refute_0_1178]) ).
cnf(refute_0_1180,plain,
and(t3,or(sum,t4)) = xor(t3,xor(t4,t7)),
inference(resolve,[$cnf( $equal(and(t3,not(xor(t4,t7))),xor(t3,xor(t4,t7))) )],[refute_0_829,refute_0_1179]) ).
cnf(refute_0_1181,plain,
xor(b,xor(xor(carry,t6),Z)) = xor(xor(b,xor(carry,t6)),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(b)),bind(Y,$fot(xor(carry,t6)))]]) ).
cnf(refute_0_1182,plain,
xor(b,xor(t1,X_335)) = xor(xor(b,t1),X_335),
inference(subst,[],[xor_associative:[bind(X,$fot(b)),bind(Y,$fot(t1)),bind(Z,$fot(X_335))]]) ).
cnf(refute_0_1183,plain,
or(and(b,not(t1)),and(not(b),t1)) = xor(b,t1),
inference(subst,[],[refute_0_9:[bind(X,$fot(b)),bind(Y,$fot(t1))]]) ).
cnf(refute_0_1184,plain,
and(not(t1),or(b,not(t1))) = not(t1),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(not(t1))),bind(X_20,$fot(b))]]) ).
cnf(refute_0_1185,plain,
or(b,and(a,b)) = b,
inference(subst,[],[refute_0_222:[bind(X_13,$fot(b)),bind(X_14,$fot(a))]]) ).
cnf(refute_0_1186,plain,
( and(a,b) != not(t1)
| or(b,and(a,b)) != b
| or(b,not(t1)) = b ),
introduced(tautology,[equality,[$cnf( $equal(or(b,and(a,b)),b) ),[0,1],$fot(not(t1))]]) ).
cnf(refute_0_1187,plain,
( or(b,and(a,b)) != b
| or(b,not(t1)) = b ),
inference(resolve,[$cnf( $equal(and(a,b),not(t1)) )],[refute_0_318,refute_0_1186]) ).
cnf(refute_0_1188,plain,
or(b,not(t1)) = b,
inference(resolve,[$cnf( $equal(or(b,and(a,b)),b) )],[refute_0_1185,refute_0_1187]) ).
cnf(refute_0_1189,plain,
( and(not(t1),or(b,not(t1))) != not(t1)
| or(b,not(t1)) != b
| and(not(t1),b) = not(t1) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t1),or(b,not(t1))),not(t1)) ),[0,1],$fot(b)]]) ).
cnf(refute_0_1190,plain,
( and(not(t1),or(b,not(t1))) != not(t1)
| and(not(t1),b) = not(t1) ),
inference(resolve,[$cnf( $equal(or(b,not(t1)),b) )],[refute_0_1188,refute_0_1189]) ).
cnf(refute_0_1191,plain,
and(not(t1),b) = not(t1),
inference(resolve,[$cnf( $equal(and(not(t1),or(b,not(t1))),not(t1)) )],[refute_0_1184,refute_0_1190]) ).
cnf(refute_0_1192,plain,
and(not(t1),b) = and(b,not(t1)),
inference(subst,[],[refute_0_116:[bind(X,$fot(b)),bind(Y,$fot(not(t1)))]]) ).
cnf(refute_0_1193,plain,
( and(not(t1),b) != and(b,not(t1))
| and(not(t1),b) != not(t1)
| and(b,not(t1)) = not(t1) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t1),b),not(t1)) ),[0],$fot(and(b,not(t1)))]]) ).
cnf(refute_0_1194,plain,
( and(not(t1),b) != not(t1)
| and(b,not(t1)) = not(t1) ),
inference(resolve,[$cnf( $equal(and(not(t1),b),and(b,not(t1))) )],[refute_0_1192,refute_0_1193]) ).
cnf(refute_0_1195,plain,
and(b,not(t1)) = not(t1),
inference(resolve,[$cnf( $equal(and(not(t1),b),not(t1)) )],[refute_0_1191,refute_0_1194]) ).
cnf(refute_0_1196,plain,
( and(b,not(t1)) != not(t1)
| or(and(b,not(t1)),and(not(b),t1)) != xor(b,t1)
| or(not(t1),and(not(b),t1)) = xor(b,t1) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(b,not(t1)),and(not(b),t1)),xor(b,t1)) ),[0,0],$fot(not(t1))]]) ).
cnf(refute_0_1197,plain,
( or(and(b,not(t1)),and(not(b),t1)) != xor(b,t1)
| or(not(t1),and(not(b),t1)) = xor(b,t1) ),
inference(resolve,[$cnf( $equal(and(b,not(t1)),not(t1)) )],[refute_0_1195,refute_0_1196]) ).
cnf(refute_0_1198,plain,
or(not(t1),and(not(b),t1)) = xor(b,t1),
inference(resolve,[$cnf( $equal(or(and(b,not(t1)),and(not(b),t1)),xor(b,t1)) )],[refute_0_1183,refute_0_1197]) ).
cnf(refute_0_1199,plain,
not(and(t1,b)) = not(and(b,t1)),
inference(subst,[],[refute_0_333:[bind(X_31,$fot(t1)),bind(X_32,$fot(b))]]) ).
cnf(refute_0_1200,plain,
( not(and(b,t1)) != t3
| not(and(t1,b)) != not(and(b,t1))
| not(and(t1,b)) = t3 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(t1,b)))),bind(Y0,$fot(not(and(b,t1)))),bind(Z0,$fot(t3))]]) ).
cnf(refute_0_1201,plain,
( not(and(b,t1)) != t3
| not(and(t1,b)) = t3 ),
inference(resolve,[$cnf( $equal(not(and(t1,b)),not(and(b,t1))) )],[refute_0_1199,refute_0_1200]) ).
cnf(refute_0_1202,plain,
not(and(t1,b)) = t3,
inference(resolve,[$cnf( $equal(not(and(b,t1)),t3) )],[t3,refute_0_1201]) ).
cnf(refute_0_1203,plain,
or(not(t1),not(b)) = not(and(t1,b)),
inference(subst,[],[refute_0_147:[bind(X,$fot(t1)),bind(Y,$fot(b))]]) ).
cnf(refute_0_1204,plain,
( not(and(t1,b)) != t3
| or(not(t1),not(b)) != not(and(t1,b))
| or(not(t1),not(b)) = t3 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t1),not(b)))),bind(Y0,$fot(not(and(t1,b)))),bind(Z0,$fot(t3))]]) ).
cnf(refute_0_1205,plain,
( not(and(t1,b)) != t3
| or(not(t1),not(b)) = t3 ),
inference(resolve,[$cnf( $equal(or(not(t1),not(b)),not(and(t1,b))) )],[refute_0_1203,refute_0_1204]) ).
cnf(refute_0_1206,plain,
or(not(t1),not(b)) = t3,
inference(resolve,[$cnf( $equal(not(and(t1,b)),t3) )],[refute_0_1202,refute_0_1205]) ).
cnf(refute_0_1207,plain,
not(or(not(t1),b)) = not(or(b,not(t1))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(b)),bind(X_26,$fot(not(t1)))]]) ).
cnf(refute_0_1208,plain,
( not(or(not(t1),b)) != not(or(b,not(t1)))
| or(b,not(t1)) != b
| not(or(not(t1),b)) = not(b) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(t1),b)),not(or(b,not(t1)))) ),[1,0],$fot(b)]]) ).
cnf(refute_0_1209,plain,
( not(or(not(t1),b)) != not(or(b,not(t1)))
| not(or(not(t1),b)) = not(b) ),
inference(resolve,[$cnf( $equal(or(b,not(t1)),b) )],[refute_0_1188,refute_0_1208]) ).
cnf(refute_0_1210,plain,
not(or(not(t1),b)) = not(b),
inference(resolve,[$cnf( $equal(not(or(not(t1),b)),not(or(b,not(t1)))) )],[refute_0_1207,refute_0_1209]) ).
cnf(refute_0_1211,plain,
not(or(not(t1),b)) = and(t1,not(b)),
inference(subst,[],[refute_0_159:[bind(X,$fot(t1)),bind(X_26,$fot(b))]]) ).
cnf(refute_0_1212,plain,
( not(or(not(t1),b)) != and(t1,not(b))
| not(or(not(t1),b)) != not(b)
| and(t1,not(b)) = not(b) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(t1),b)),not(b)) ),[0],$fot(and(t1,not(b)))]]) ).
cnf(refute_0_1213,plain,
( not(or(not(t1),b)) != not(b)
| and(t1,not(b)) = not(b) ),
inference(resolve,[$cnf( $equal(not(or(not(t1),b)),and(t1,not(b))) )],[refute_0_1211,refute_0_1212]) ).
cnf(refute_0_1214,plain,
and(t1,not(b)) = not(b),
inference(resolve,[$cnf( $equal(not(or(not(t1),b)),not(b)) )],[refute_0_1210,refute_0_1213]) ).
cnf(refute_0_1215,plain,
and(not(b),t1) = and(t1,not(b)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t1)),bind(Y,$fot(not(b)))]]) ).
cnf(refute_0_1216,plain,
( and(not(b),t1) != and(t1,not(b))
| and(t1,not(b)) != not(b)
| and(not(b),t1) = not(b) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(b),t1))),bind(Y0,$fot(and(t1,not(b)))),bind(Z0,$fot(not(b)))]]) ).
cnf(refute_0_1217,plain,
( and(t1,not(b)) != not(b)
| and(not(b),t1) = not(b) ),
inference(resolve,[$cnf( $equal(and(not(b),t1),and(t1,not(b))) )],[refute_0_1215,refute_0_1216]) ).
cnf(refute_0_1218,plain,
and(not(b),t1) = not(b),
inference(resolve,[$cnf( $equal(and(t1,not(b)),not(b)) )],[refute_0_1214,refute_0_1217]) ).
cnf(refute_0_1219,plain,
or(not(t1),and(not(b),t1)) = or(not(t1),and(not(b),t1)),
introduced(tautology,[refl,[$fot(or(not(t1),and(not(b),t1)))]]) ).
cnf(refute_0_1220,plain,
( and(not(b),t1) != not(b)
| or(not(t1),and(not(b),t1)) != or(not(t1),and(not(b),t1))
| or(not(t1),and(not(b),t1)) = or(not(t1),not(b)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t1),and(not(b),t1)),or(not(t1),and(not(b),t1))) ),[1,1],$fot(not(b))]]) ).
cnf(refute_0_1221,plain,
( and(not(b),t1) != not(b)
| or(not(t1),and(not(b),t1)) = or(not(t1),not(b)) ),
inference(resolve,[$cnf( $equal(or(not(t1),and(not(b),t1)),or(not(t1),and(not(b),t1))) )],[refute_0_1219,refute_0_1220]) ).
cnf(refute_0_1222,plain,
or(not(t1),and(not(b),t1)) = or(not(t1),not(b)),
inference(resolve,[$cnf( $equal(and(not(b),t1),not(b)) )],[refute_0_1218,refute_0_1221]) ).
cnf(refute_0_1223,plain,
( or(not(t1),and(not(b),t1)) != or(not(t1),not(b))
| or(not(t1),not(b)) != t3
| or(not(t1),and(not(b),t1)) = t3 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t1),and(not(b),t1)))),bind(Y0,$fot(or(not(t1),not(b)))),bind(Z0,$fot(t3))]]) ).
cnf(refute_0_1224,plain,
( or(not(t1),not(b)) != t3
| or(not(t1),and(not(b),t1)) = t3 ),
inference(resolve,[$cnf( $equal(or(not(t1),and(not(b),t1)),or(not(t1),not(b))) )],[refute_0_1222,refute_0_1223]) ).
cnf(refute_0_1225,plain,
or(not(t1),and(not(b),t1)) = t3,
inference(resolve,[$cnf( $equal(or(not(t1),not(b)),t3) )],[refute_0_1206,refute_0_1224]) ).
cnf(refute_0_1226,plain,
( or(not(t1),and(not(b),t1)) != t3
| or(not(t1),and(not(b),t1)) != xor(b,t1)
| t3 = xor(b,t1) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t1),and(not(b),t1)),xor(b,t1)) ),[0],$fot(t3)]]) ).
cnf(refute_0_1227,plain,
( or(not(t1),and(not(b),t1)) != xor(b,t1)
| t3 = xor(b,t1) ),
inference(resolve,[$cnf( $equal(or(not(t1),and(not(b),t1)),t3) )],[refute_0_1225,refute_0_1226]) ).
cnf(refute_0_1228,plain,
t3 = xor(b,t1),
inference(resolve,[$cnf( $equal(or(not(t1),and(not(b),t1)),xor(b,t1)) )],[refute_0_1198,refute_0_1227]) ).
cnf(refute_0_1229,plain,
( t3 != xor(b,t1)
| xor(b,t1) = t3 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(t3)),bind(Y0,$fot(xor(b,t1)))]]) ).
cnf(refute_0_1230,plain,
xor(b,t1) = t3,
inference(resolve,[$cnf( $equal(t3,xor(b,t1)) )],[refute_0_1228,refute_0_1229]) ).
cnf(refute_0_1231,plain,
( xor(b,t1) != t3
| xor(b,xor(t1,X_335)) != xor(xor(b,t1),X_335)
| xor(b,xor(t1,X_335)) = xor(t3,X_335) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,xor(t1,X_335)),xor(xor(b,t1),X_335)) ),[1,0],$fot(t3)]]) ).
cnf(refute_0_1232,plain,
( xor(b,xor(t1,X_335)) != xor(xor(b,t1),X_335)
| xor(b,xor(t1,X_335)) = xor(t3,X_335) ),
inference(resolve,[$cnf( $equal(xor(b,t1),t3) )],[refute_0_1230,refute_0_1231]) ).
cnf(refute_0_1233,plain,
xor(b,xor(t1,X_335)) = xor(t3,X_335),
inference(resolve,[$cnf( $equal(xor(b,xor(t1,X_335)),xor(xor(b,t1),X_335)) )],[refute_0_1182,refute_0_1232]) ).
cnf(refute_0_1234,plain,
xor(b,xor(t1,t4)) = xor(t3,t4),
inference(subst,[],[refute_0_1233:[bind(X_335,$fot(t4))]]) ).
cnf(refute_0_1235,plain,
xor(t1,xor(t5,X_335)) = xor(xor(t1,t5),X_335),
inference(subst,[],[xor_associative:[bind(X,$fot(t1)),bind(Y,$fot(t5)),bind(Z,$fot(X_335))]]) ).
cnf(refute_0_1236,plain,
or(and(t1,not(t5)),and(not(t1),t5)) = xor(t1,t5),
inference(subst,[],[refute_0_9:[bind(X,$fot(t1)),bind(Y,$fot(t5))]]) ).
cnf(refute_0_1237,plain,
not(or(not(t1),t5)) = not(or(t5,not(t1))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(t5)),bind(X_26,$fot(not(t1)))]]) ).
cnf(refute_0_1238,plain,
or(or(t5,not(t4)),X_39) = or(t5,or(not(t4),X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(t5)),bind(Y,$fot(not(t4))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_1239,plain,
or(t5,and(t5,not(t4))) = t5,
inference(subst,[],[or_absorption:[bind(X,$fot(t5)),bind(Y,$fot(not(t4)))]]) ).
cnf(refute_0_1240,plain,
( and(t5,not(t4)) != not(t4)
| or(t5,and(t5,not(t4))) != t5
| or(t5,not(t4)) = t5 ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,and(t5,not(t4))),t5) ),[0,1],$fot(not(t4))]]) ).
cnf(refute_0_1241,plain,
( or(t5,and(t5,not(t4))) != t5
| or(t5,not(t4)) = t5 ),
inference(resolve,[$cnf( $equal(and(t5,not(t4)),not(t4)) )],[refute_0_981,refute_0_1240]) ).
cnf(refute_0_1242,plain,
or(t5,not(t4)) = t5,
inference(resolve,[$cnf( $equal(or(t5,and(t5,not(t4))),t5) )],[refute_0_1239,refute_0_1241]) ).
cnf(refute_0_1243,plain,
( or(or(t5,not(t4)),X_39) != or(t5,or(not(t4),X_39))
| or(t5,not(t4)) != t5
| or(t5,X_39) = or(t5,or(not(t4),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t5,not(t4)),X_39),or(t5,or(not(t4),X_39))) ),[0,0],$fot(t5)]]) ).
cnf(refute_0_1244,plain,
( or(or(t5,not(t4)),X_39) != or(t5,or(not(t4),X_39))
| or(t5,X_39) = or(t5,or(not(t4),X_39)) ),
inference(resolve,[$cnf( $equal(or(t5,not(t4)),t5) )],[refute_0_1242,refute_0_1243]) ).
cnf(refute_0_1245,plain,
or(t5,X_39) = or(t5,or(not(t4),X_39)),
inference(resolve,[$cnf( $equal(or(or(t5,not(t4)),X_39),or(t5,or(not(t4),X_39))) )],[refute_0_1238,refute_0_1244]) ).
cnf(refute_0_1246,plain,
or(t5,and(X_14,not(t4))) = or(t5,or(not(t4),and(X_14,not(t4)))),
inference(subst,[],[refute_0_1245:[bind(X_39,$fot(and(X_14,not(t4))))]]) ).
cnf(refute_0_1247,plain,
or(not(t4),and(X_14,not(t4))) = not(t4),
inference(subst,[],[refute_0_222:[bind(X_13,$fot(not(t4)))]]) ).
cnf(refute_0_1248,plain,
( or(not(t4),and(X_14,not(t4))) != not(t4)
| or(t5,and(X_14,not(t4))) != or(t5,or(not(t4),and(X_14,not(t4))))
| or(t5,and(X_14,not(t4))) = or(t5,not(t4)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,and(X_14,not(t4))),or(t5,or(not(t4),and(X_14,not(t4))))) ),[1,1],$fot(not(t4))]]) ).
cnf(refute_0_1249,plain,
( or(t5,and(X_14,not(t4))) != or(t5,or(not(t4),and(X_14,not(t4))))
| or(t5,and(X_14,not(t4))) = or(t5,not(t4)) ),
inference(resolve,[$cnf( $equal(or(not(t4),and(X_14,not(t4))),not(t4)) )],[refute_0_1247,refute_0_1248]) ).
cnf(refute_0_1250,plain,
or(t5,and(X_14,not(t4))) = or(t5,not(t4)),
inference(resolve,[$cnf( $equal(or(t5,and(X_14,not(t4))),or(t5,or(not(t4),and(X_14,not(t4))))) )],[refute_0_1246,refute_0_1249]) ).
cnf(refute_0_1251,plain,
( or(t5,and(X_14,not(t4))) != or(t5,not(t4))
| or(t5,not(t4)) != t5
| or(t5,and(X_14,not(t4))) = t5 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(t5,and(X_14,not(t4))),t5) ),[0],$fot(or(t5,not(t4)))]]) ).
cnf(refute_0_1252,plain,
( or(t5,and(X_14,not(t4))) != or(t5,not(t4))
| or(t5,and(X_14,not(t4))) = t5 ),
inference(resolve,[$cnf( $equal(or(t5,not(t4)),t5) )],[refute_0_1242,refute_0_1251]) ).
cnf(refute_0_1253,plain,
or(t5,and(X_14,not(t4))) = t5,
inference(resolve,[$cnf( $equal(or(t5,and(X_14,not(t4))),or(t5,not(t4))) )],[refute_0_1250,refute_0_1252]) ).
cnf(refute_0_1254,plain,
or(t5,and(not(X),not(t4))) = t5,
inference(subst,[],[refute_0_1253:[bind(X_14,$fot(not(X)))]]) ).
cnf(refute_0_1255,plain,
not(or(X,t4)) = and(not(X),not(t4)),
inference(subst,[],[or_demorgan:[bind(Y,$fot(t4))]]) ).
cnf(refute_0_1256,plain,
( not(or(X,t4)) != and(not(X),not(t4))
| and(not(X),not(t4)) = not(or(X,t4)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X,t4)))),bind(Y0,$fot(and(not(X),not(t4))))]]) ).
cnf(refute_0_1257,plain,
and(not(X),not(t4)) = not(or(X,t4)),
inference(resolve,[$cnf( $equal(not(or(X,t4)),and(not(X),not(t4))) )],[refute_0_1255,refute_0_1256]) ).
cnf(refute_0_1258,plain,
( and(not(X),not(t4)) != not(or(X,t4))
| or(t5,and(not(X),not(t4))) != t5
| or(t5,not(or(X,t4))) = t5 ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,and(not(X),not(t4))),t5) ),[0,1],$fot(not(or(X,t4)))]]) ).
cnf(refute_0_1259,plain,
( or(t5,and(not(X),not(t4))) != t5
| or(t5,not(or(X,t4))) = t5 ),
inference(resolve,[$cnf( $equal(and(not(X),not(t4)),not(or(X,t4))) )],[refute_0_1257,refute_0_1258]) ).
cnf(refute_0_1260,plain,
or(t5,not(or(X,t4))) = t5,
inference(resolve,[$cnf( $equal(or(t5,and(not(X),not(t4))),t5) )],[refute_0_1254,refute_0_1259]) ).
cnf(refute_0_1261,plain,
or(t5,not(or(t1,t4))) = t5,
inference(subst,[],[refute_0_1260:[bind(X,$fot(t1))]]) ).
cnf(refute_0_1262,plain,
and(not(t4),not(t1)) = and(t2,and(t3,not(t1))),
inference(subst,[],[refute_0_611:[bind(X_222,$fot(not(t1)))]]) ).
cnf(refute_0_1263,plain,
not(or(not(t3),t1)) = not(or(t1,not(t3))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(t1)),bind(X_26,$fot(not(t3)))]]) ).
cnf(refute_0_1264,plain,
or(t1,and(b,t1)) = t1,
inference(subst,[],[refute_0_222:[bind(X_13,$fot(t1)),bind(X_14,$fot(b))]]) ).
cnf(refute_0_1265,plain,
not(not(and(b,t1))) = and(b,t1),
inference(subst,[],[not_involution:[bind(X,$fot(and(b,t1)))]]) ).
cnf(refute_0_1266,plain,
( not(and(b,t1)) != t3
| not(not(and(b,t1))) != and(b,t1)
| not(t3) = and(b,t1) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(b,t1))),and(b,t1)) ),[0,0],$fot(t3)]]) ).
cnf(refute_0_1267,plain,
( not(not(and(b,t1))) != and(b,t1)
| not(t3) = and(b,t1) ),
inference(resolve,[$cnf( $equal(not(and(b,t1)),t3) )],[t3,refute_0_1266]) ).
cnf(refute_0_1268,plain,
not(t3) = and(b,t1),
inference(resolve,[$cnf( $equal(not(not(and(b,t1))),and(b,t1)) )],[refute_0_1265,refute_0_1267]) ).
cnf(refute_0_1269,plain,
( not(t3) != and(b,t1)
| and(b,t1) = not(t3) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t3))),bind(Y0,$fot(and(b,t1)))]]) ).
cnf(refute_0_1270,plain,
and(b,t1) = not(t3),
inference(resolve,[$cnf( $equal(not(t3),and(b,t1)) )],[refute_0_1268,refute_0_1269]) ).
cnf(refute_0_1271,plain,
( and(b,t1) != not(t3)
| or(t1,and(b,t1)) != t1
| or(t1,not(t3)) = t1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,and(b,t1)),t1) ),[0,1],$fot(not(t3))]]) ).
cnf(refute_0_1272,plain,
( or(t1,and(b,t1)) != t1
| or(t1,not(t3)) = t1 ),
inference(resolve,[$cnf( $equal(and(b,t1),not(t3)) )],[refute_0_1270,refute_0_1271]) ).
cnf(refute_0_1273,plain,
or(t1,not(t3)) = t1,
inference(resolve,[$cnf( $equal(or(t1,and(b,t1)),t1) )],[refute_0_1264,refute_0_1272]) ).
cnf(refute_0_1274,plain,
( not(or(not(t3),t1)) != not(or(t1,not(t3)))
| or(t1,not(t3)) != t1
| not(or(not(t3),t1)) = not(t1) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(t3),t1)),not(or(t1,not(t3)))) ),[1,0],$fot(t1)]]) ).
cnf(refute_0_1275,plain,
( not(or(not(t3),t1)) != not(or(t1,not(t3)))
| not(or(not(t3),t1)) = not(t1) ),
inference(resolve,[$cnf( $equal(or(t1,not(t3)),t1) )],[refute_0_1273,refute_0_1274]) ).
cnf(refute_0_1276,plain,
not(or(not(t3),t1)) = not(t1),
inference(resolve,[$cnf( $equal(not(or(not(t3),t1)),not(or(t1,not(t3)))) )],[refute_0_1263,refute_0_1275]) ).
cnf(refute_0_1277,plain,
not(or(not(t3),t1)) = and(t3,not(t1)),
inference(subst,[],[refute_0_159:[bind(X,$fot(t3)),bind(X_26,$fot(t1))]]) ).
cnf(refute_0_1278,plain,
( not(or(not(t3),t1)) != and(t3,not(t1))
| not(or(not(t3),t1)) != not(t1)
| and(t3,not(t1)) = not(t1) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(t3),t1)),not(t1)) ),[0],$fot(and(t3,not(t1)))]]) ).
cnf(refute_0_1279,plain,
( not(or(not(t3),t1)) != not(t1)
| and(t3,not(t1)) = not(t1) ),
inference(resolve,[$cnf( $equal(not(or(not(t3),t1)),and(t3,not(t1))) )],[refute_0_1277,refute_0_1278]) ).
cnf(refute_0_1280,plain,
and(t3,not(t1)) = not(t1),
inference(resolve,[$cnf( $equal(not(or(not(t3),t1)),not(t1)) )],[refute_0_1276,refute_0_1279]) ).
cnf(refute_0_1281,plain,
( and(not(t4),not(t1)) != and(t2,and(t3,not(t1)))
| and(t3,not(t1)) != not(t1)
| and(not(t4),not(t1)) = and(t2,not(t1)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),not(t1)),and(t2,and(t3,not(t1)))) ),[1,1],$fot(not(t1))]]) ).
cnf(refute_0_1282,plain,
( and(not(t4),not(t1)) != and(t2,and(t3,not(t1)))
| and(not(t4),not(t1)) = and(t2,not(t1)) ),
inference(resolve,[$cnf( $equal(and(t3,not(t1)),not(t1)) )],[refute_0_1280,refute_0_1281]) ).
cnf(refute_0_1283,plain,
and(not(t4),not(t1)) = and(t2,not(t1)),
inference(resolve,[$cnf( $equal(and(not(t4),not(t1)),and(t2,and(t3,not(t1)))) )],[refute_0_1262,refute_0_1282]) ).
cnf(refute_0_1284,plain,
not(or(t4,t1)) = not(or(t1,t4)),
inference(subst,[],[refute_0_562:[bind(X_25,$fot(t4)),bind(X_26,$fot(t1))]]) ).
cnf(refute_0_1285,plain,
and(not(t4),not(t1)) = not(or(t4,t1)),
inference(subst,[],[refute_0_101:[bind(X,$fot(t4)),bind(Y,$fot(t1))]]) ).
cnf(refute_0_1286,plain,
( and(not(t4),not(t1)) != not(or(t4,t1))
| not(or(t4,t1)) != not(or(t1,t4))
| and(not(t4),not(t1)) = not(or(t1,t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t4),not(t1)))),bind(Y0,$fot(not(or(t4,t1)))),bind(Z0,$fot(not(or(t1,t4))))]]) ).
cnf(refute_0_1287,plain,
( not(or(t4,t1)) != not(or(t1,t4))
| and(not(t4),not(t1)) = not(or(t1,t4)) ),
inference(resolve,[$cnf( $equal(and(not(t4),not(t1)),not(or(t4,t1))) )],[refute_0_1285,refute_0_1286]) ).
cnf(refute_0_1288,plain,
and(not(t4),not(t1)) = not(or(t1,t4)),
inference(resolve,[$cnf( $equal(not(or(t4,t1)),not(or(t1,t4))) )],[refute_0_1284,refute_0_1287]) ).
cnf(refute_0_1289,plain,
( and(not(t4),not(t1)) != and(t2,not(t1))
| and(not(t4),not(t1)) != not(or(t1,t4))
| not(or(t1,t4)) = and(t2,not(t1)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),not(t1)),and(t2,not(t1))) ),[0],$fot(not(or(t1,t4)))]]) ).
cnf(refute_0_1290,plain,
( and(not(t4),not(t1)) != and(t2,not(t1))
| not(or(t1,t4)) = and(t2,not(t1)) ),
inference(resolve,[$cnf( $equal(and(not(t4),not(t1)),not(or(t1,t4))) )],[refute_0_1288,refute_0_1289]) ).
cnf(refute_0_1291,plain,
( and(t2,not(t1)) != not(t1)
| not(or(t1,t4)) != and(t2,not(t1))
| not(or(t1,t4)) = not(t1) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t1,t4)),and(t2,not(t1))) ),[1],$fot(not(t1))]]) ).
cnf(refute_0_1292,plain,
( not(or(t1,t4)) != and(t2,not(t1))
| not(or(t1,t4)) = not(t1) ),
inference(resolve,[$cnf( $equal(and(t2,not(t1)),not(t1)) )],[refute_0_504,refute_0_1291]) ).
cnf(refute_0_1293,plain,
( and(not(t4),not(t1)) != and(t2,not(t1))
| not(or(t1,t4)) = not(t1) ),
inference(resolve,[$cnf( $equal(not(or(t1,t4)),and(t2,not(t1))) )],[refute_0_1290,refute_0_1292]) ).
cnf(refute_0_1294,plain,
not(or(t1,t4)) = not(t1),
inference(resolve,[$cnf( $equal(and(not(t4),not(t1)),and(t2,not(t1))) )],[refute_0_1283,refute_0_1293]) ).
cnf(refute_0_1295,plain,
( not(or(t1,t4)) != not(t1)
| or(t5,not(or(t1,t4))) != t5
| or(t5,not(t1)) = t5 ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,not(or(t1,t4))),t5) ),[0,1],$fot(not(t1))]]) ).
cnf(refute_0_1296,plain,
( or(t5,not(or(t1,t4))) != t5
| or(t5,not(t1)) = t5 ),
inference(resolve,[$cnf( $equal(not(or(t1,t4)),not(t1)) )],[refute_0_1294,refute_0_1295]) ).
cnf(refute_0_1297,plain,
or(t5,not(t1)) = t5,
inference(resolve,[$cnf( $equal(or(t5,not(or(t1,t4))),t5) )],[refute_0_1261,refute_0_1296]) ).
cnf(refute_0_1298,plain,
( not(or(not(t1),t5)) != not(or(t5,not(t1)))
| or(t5,not(t1)) != t5
| not(or(not(t1),t5)) = not(t5) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(t1),t5)),not(or(t5,not(t1)))) ),[1,0],$fot(t5)]]) ).
cnf(refute_0_1299,plain,
( not(or(not(t1),t5)) != not(or(t5,not(t1)))
| not(or(not(t1),t5)) = not(t5) ),
inference(resolve,[$cnf( $equal(or(t5,not(t1)),t5) )],[refute_0_1297,refute_0_1298]) ).
cnf(refute_0_1300,plain,
not(or(not(t1),t5)) = not(t5),
inference(resolve,[$cnf( $equal(not(or(not(t1),t5)),not(or(t5,not(t1)))) )],[refute_0_1237,refute_0_1299]) ).
cnf(refute_0_1301,plain,
not(or(not(t1),t5)) = and(t1,not(t5)),
inference(subst,[],[refute_0_159:[bind(X,$fot(t1)),bind(X_26,$fot(t5))]]) ).
cnf(refute_0_1302,plain,
( not(or(not(t1),t5)) != and(t1,not(t5))
| not(or(not(t1),t5)) != not(t5)
| and(t1,not(t5)) = not(t5) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(t1),t5)),not(t5)) ),[0],$fot(and(t1,not(t5)))]]) ).
cnf(refute_0_1303,plain,
( not(or(not(t1),t5)) != not(t5)
| and(t1,not(t5)) = not(t5) ),
inference(resolve,[$cnf( $equal(not(or(not(t1),t5)),and(t1,not(t5))) )],[refute_0_1301,refute_0_1302]) ).
cnf(refute_0_1304,plain,
and(t1,not(t5)) = not(t5),
inference(resolve,[$cnf( $equal(not(or(not(t1),t5)),not(t5)) )],[refute_0_1300,refute_0_1303]) ).
cnf(refute_0_1305,plain,
( and(t1,not(t5)) != not(t5)
| or(and(t1,not(t5)),and(not(t1),t5)) != xor(t1,t5)
| or(not(t5),and(not(t1),t5)) = xor(t1,t5) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t1,not(t5)),and(not(t1),t5)),xor(t1,t5)) ),[0,0],$fot(not(t5))]]) ).
cnf(refute_0_1306,plain,
( or(and(t1,not(t5)),and(not(t1),t5)) != xor(t1,t5)
| or(not(t5),and(not(t1),t5)) = xor(t1,t5) ),
inference(resolve,[$cnf( $equal(and(t1,not(t5)),not(t5)) )],[refute_0_1304,refute_0_1305]) ).
cnf(refute_0_1307,plain,
or(not(t5),and(not(t1),t5)) = xor(t1,t5),
inference(resolve,[$cnf( $equal(or(and(t1,not(t5)),and(not(t1),t5)),xor(t1,t5)) )],[refute_0_1236,refute_0_1306]) ).
cnf(refute_0_1308,plain,
not(not(carry)) = carry,
inference(subst,[],[not_involution:[bind(X,$fot(carry))]]) ).
cnf(refute_0_1309,plain,
and(t5,t1) = and(t1,t5),
inference(subst,[],[refute_0_116:[bind(X,$fot(t1)),bind(Y,$fot(t5))]]) ).
cnf(refute_0_1310,plain,
( and(t1,t5) != not(carry)
| and(t5,t1) != and(t1,t5)
| and(t5,t1) = not(carry) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t5,t1))),bind(Y0,$fot(and(t1,t5))),bind(Z0,$fot(not(carry)))]]) ).
cnf(refute_0_1311,plain,
( and(t1,t5) != not(carry)
| and(t5,t1) = not(carry) ),
inference(resolve,[$cnf( $equal(and(t5,t1),and(t1,t5)) )],[refute_0_1309,refute_0_1310]) ).
cnf(refute_0_1312,plain,
and(t5,t1) = not(carry),
inference(resolve,[$cnf( $equal(and(t1,t5),not(carry)) )],[refute_0_175,refute_0_1311]) ).
cnf(refute_0_1313,plain,
or(t1,and(t1,not(t5))) = t1,
inference(subst,[],[or_absorption:[bind(X,$fot(t1)),bind(Y,$fot(not(t5)))]]) ).
cnf(refute_0_1314,plain,
( and(t1,not(t5)) != not(t5)
| or(t1,and(t1,not(t5))) != t1
| or(t1,not(t5)) = t1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,and(t1,not(t5))),t1) ),[0,1],$fot(not(t5))]]) ).
cnf(refute_0_1315,plain,
( or(t1,and(t1,not(t5))) != t1
| or(t1,not(t5)) = t1 ),
inference(resolve,[$cnf( $equal(and(t1,not(t5)),not(t5)) )],[refute_0_1304,refute_0_1314]) ).
cnf(refute_0_1316,plain,
or(t1,not(t5)) = t1,
inference(resolve,[$cnf( $equal(or(t1,and(t1,not(t5))),t1) )],[refute_0_1313,refute_0_1315]) ).
cnf(refute_0_1317,plain,
and(t5,or(t1,not(t5))) = and(t5,or(t1,not(t5))),
introduced(tautology,[refl,[$fot(and(t5,or(t1,not(t5))))]]) ).
cnf(refute_0_1318,plain,
( and(t5,or(t1,not(t5))) != and(t5,or(t1,not(t5)))
| or(t1,not(t5)) != t1
| and(t5,or(t1,not(t5))) = and(t5,t1) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,or(t1,not(t5))),and(t5,or(t1,not(t5)))) ),[1,1],$fot(t1)]]) ).
cnf(refute_0_1319,plain,
( or(t1,not(t5)) != t1
| and(t5,or(t1,not(t5))) = and(t5,t1) ),
inference(resolve,[$cnf( $equal(and(t5,or(t1,not(t5))),and(t5,or(t1,not(t5)))) )],[refute_0_1317,refute_0_1318]) ).
cnf(refute_0_1320,plain,
and(t5,or(t1,not(t5))) = and(t5,t1),
inference(resolve,[$cnf( $equal(or(t1,not(t5)),t1) )],[refute_0_1316,refute_0_1319]) ).
cnf(refute_0_1321,plain,
( and(t5,or(t1,not(t5))) != and(t5,t1)
| and(t5,t1) != not(carry)
| and(t5,or(t1,not(t5))) = not(carry) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t5,or(t1,not(t5))))),bind(Y0,$fot(and(t5,t1))),bind(Z0,$fot(not(carry)))]]) ).
cnf(refute_0_1322,plain,
( and(t5,t1) != not(carry)
| and(t5,or(t1,not(t5))) = not(carry) ),
inference(resolve,[$cnf( $equal(and(t5,or(t1,not(t5))),and(t5,t1)) )],[refute_0_1320,refute_0_1321]) ).
cnf(refute_0_1323,plain,
and(t5,or(t1,not(t5))) = not(carry),
inference(resolve,[$cnf( $equal(and(t5,t1),not(carry)) )],[refute_0_1312,refute_0_1322]) ).
cnf(refute_0_1324,plain,
not(and(t5,or(t1,not(t5)))) = not(and(t5,or(t1,not(t5)))),
introduced(tautology,[refl,[$fot(not(and(t5,or(t1,not(t5)))))]]) ).
cnf(refute_0_1325,plain,
( and(t5,or(t1,not(t5))) != not(carry)
| not(and(t5,or(t1,not(t5)))) != not(and(t5,or(t1,not(t5))))
| not(and(t5,or(t1,not(t5)))) = not(not(carry)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(t5,or(t1,not(t5)))),not(and(t5,or(t1,not(t5))))) ),[1,0],$fot(not(carry))]]) ).
cnf(refute_0_1326,plain,
( and(t5,or(t1,not(t5))) != not(carry)
| not(and(t5,or(t1,not(t5)))) = not(not(carry)) ),
inference(resolve,[$cnf( $equal(not(and(t5,or(t1,not(t5)))),not(and(t5,or(t1,not(t5))))) )],[refute_0_1324,refute_0_1325]) ).
cnf(refute_0_1327,plain,
not(and(t5,or(t1,not(t5)))) = not(not(carry)),
inference(resolve,[$cnf( $equal(and(t5,or(t1,not(t5))),not(carry)) )],[refute_0_1323,refute_0_1326]) ).
cnf(refute_0_1328,plain,
( not(and(t5,or(t1,not(t5)))) != not(not(carry))
| not(not(carry)) != carry
| not(and(t5,or(t1,not(t5)))) = carry ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(t5,or(t1,not(t5)))))),bind(Y0,$fot(not(not(carry)))),bind(Z0,$fot(carry))]]) ).
cnf(refute_0_1329,plain,
( not(not(carry)) != carry
| not(and(t5,or(t1,not(t5)))) = carry ),
inference(resolve,[$cnf( $equal(not(and(t5,or(t1,not(t5)))),not(not(carry))) )],[refute_0_1327,refute_0_1328]) ).
cnf(refute_0_1330,plain,
not(and(t5,or(t1,not(t5)))) = carry,
inference(resolve,[$cnf( $equal(not(not(carry)),carry) )],[refute_0_1308,refute_0_1329]) ).
cnf(refute_0_1331,plain,
not(and(X,or(X_79,not(X_78)))) = or(not(X),not(or(X_79,not(X_78)))),
inference(subst,[],[and_demorgan:[bind(Y,$fot(or(X_79,not(X_78))))]]) ).
cnf(refute_0_1332,plain,
not(or(X_79,not(X_78))) = and(not(X_79),X_78),
inference(subst,[],[refute_0_801:[bind(X,$fot(X_78)),bind(X_25,$fot(X_79))]]) ).
cnf(refute_0_1333,plain,
( not(and(X,or(X_79,not(X_78)))) != or(not(X),not(or(X_79,not(X_78))))
| not(or(X_79,not(X_78))) != and(not(X_79),X_78)
| not(and(X,or(X_79,not(X_78)))) = or(not(X),and(not(X_79),X_78)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X,or(X_79,not(X_78)))),or(not(X),not(or(X_79,not(X_78))))) ),[1,1],$fot(and(not(X_79),X_78))]]) ).
cnf(refute_0_1334,plain,
( not(and(X,or(X_79,not(X_78)))) != or(not(X),not(or(X_79,not(X_78))))
| not(and(X,or(X_79,not(X_78)))) = or(not(X),and(not(X_79),X_78)) ),
inference(resolve,[$cnf( $equal(not(or(X_79,not(X_78))),and(not(X_79),X_78)) )],[refute_0_1332,refute_0_1333]) ).
cnf(refute_0_1335,plain,
not(and(X,or(X_79,not(X_78)))) = or(not(X),and(not(X_79),X_78)),
inference(resolve,[$cnf( $equal(not(and(X,or(X_79,not(X_78)))),or(not(X),not(or(X_79,not(X_78))))) )],[refute_0_1331,refute_0_1334]) ).
cnf(refute_0_1336,plain,
( not(and(X,or(X_79,not(X_78)))) != or(not(X),and(not(X_79),X_78))
| or(not(X),and(not(X_79),X_78)) = not(and(X,or(X_79,not(X_78)))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(X,or(X_79,not(X_78)))))),bind(Y0,$fot(or(not(X),and(not(X_79),X_78))))]]) ).
cnf(refute_0_1337,plain,
or(not(X),and(not(X_79),X_78)) = not(and(X,or(X_79,not(X_78)))),
inference(resolve,[$cnf( $equal(not(and(X,or(X_79,not(X_78)))),or(not(X),and(not(X_79),X_78))) )],[refute_0_1335,refute_0_1336]) ).
cnf(refute_0_1338,plain,
or(not(t5),and(not(t1),t5)) = not(and(t5,or(t1,not(t5)))),
inference(subst,[],[refute_0_1337:[bind(X,$fot(t5)),bind(X_78,$fot(t5)),bind(X_79,$fot(t1))]]) ).
cnf(refute_0_1339,plain,
( not(and(t5,or(t1,not(t5)))) != carry
| or(not(t5),and(not(t1),t5)) != not(and(t5,or(t1,not(t5))))
| or(not(t5),and(not(t1),t5)) = carry ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t5),and(not(t1),t5)))),bind(Y0,$fot(not(and(t5,or(t1,not(t5)))))),bind(Z0,$fot(carry))]]) ).
cnf(refute_0_1340,plain,
( not(and(t5,or(t1,not(t5)))) != carry
| or(not(t5),and(not(t1),t5)) = carry ),
inference(resolve,[$cnf( $equal(or(not(t5),and(not(t1),t5)),not(and(t5,or(t1,not(t5))))) )],[refute_0_1338,refute_0_1339]) ).
cnf(refute_0_1341,plain,
or(not(t5),and(not(t1),t5)) = carry,
inference(resolve,[$cnf( $equal(not(and(t5,or(t1,not(t5)))),carry) )],[refute_0_1330,refute_0_1340]) ).
cnf(refute_0_1342,plain,
( or(not(t5),and(not(t1),t5)) != carry
| or(not(t5),and(not(t1),t5)) != xor(t1,t5)
| carry = xor(t1,t5) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t5),and(not(t1),t5)),xor(t1,t5)) ),[0],$fot(carry)]]) ).
cnf(refute_0_1343,plain,
( or(not(t5),and(not(t1),t5)) != xor(t1,t5)
| carry = xor(t1,t5) ),
inference(resolve,[$cnf( $equal(or(not(t5),and(not(t1),t5)),carry) )],[refute_0_1341,refute_0_1342]) ).
cnf(refute_0_1344,plain,
carry = xor(t1,t5),
inference(resolve,[$cnf( $equal(or(not(t5),and(not(t1),t5)),xor(t1,t5)) )],[refute_0_1307,refute_0_1343]) ).
cnf(refute_0_1345,plain,
( carry != xor(t1,t5)
| xor(t1,t5) = carry ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(carry)),bind(Y0,$fot(xor(t1,t5)))]]) ).
cnf(refute_0_1346,plain,
xor(t1,t5) = carry,
inference(resolve,[$cnf( $equal(carry,xor(t1,t5)) )],[refute_0_1344,refute_0_1345]) ).
cnf(refute_0_1347,plain,
( xor(t1,t5) != carry
| xor(t1,xor(t5,X_335)) != xor(xor(t1,t5),X_335)
| xor(t1,xor(t5,X_335)) = xor(carry,X_335) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,xor(t5,X_335)),xor(xor(t1,t5),X_335)) ),[1,0],$fot(carry)]]) ).
cnf(refute_0_1348,plain,
( xor(t1,xor(t5,X_335)) != xor(xor(t1,t5),X_335)
| xor(t1,xor(t5,X_335)) = xor(carry,X_335) ),
inference(resolve,[$cnf( $equal(xor(t1,t5),carry) )],[refute_0_1346,refute_0_1347]) ).
cnf(refute_0_1349,plain,
xor(t1,xor(t5,X_335)) = xor(carry,X_335),
inference(resolve,[$cnf( $equal(xor(t1,xor(t5,X_335)),xor(xor(t1,t5),X_335)) )],[refute_0_1235,refute_0_1348]) ).
cnf(refute_0_1350,plain,
xor(t1,xor(t5,t6)) = xor(carry,t6),
inference(subst,[],[refute_0_1349:[bind(X_335,$fot(t6))]]) ).
cnf(refute_0_1351,plain,
xor(t4,xor(t5,t5)) = xor(t6,t5),
inference(subst,[],[refute_0_1000:[bind(X_335,$fot(t5))]]) ).
cnf(refute_0_1352,plain,
ll0 = xor(t5,t5),
inference(subst,[],[refute_0_40:[bind(X_63,$fot(t5))]]) ).
cnf(refute_0_1353,plain,
( ll0 != xor(t5,t5)
| xor(t5,t5) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(xor(t5,t5)))]]) ).
cnf(refute_0_1354,plain,
xor(t5,t5) = ll0,
inference(resolve,[$cnf( $equal(ll0,xor(t5,t5)) )],[refute_0_1352,refute_0_1353]) ).
cnf(refute_0_1355,plain,
( xor(t4,xor(t5,t5)) != xor(t6,t5)
| xor(t5,t5) != ll0
| xor(t4,ll0) = xor(t6,t5) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,xor(t5,t5)),xor(t6,t5)) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_1356,plain,
( xor(t4,xor(t5,t5)) != xor(t6,t5)
| xor(t4,ll0) = xor(t6,t5) ),
inference(resolve,[$cnf( $equal(xor(t5,t5),ll0) )],[refute_0_1354,refute_0_1355]) ).
cnf(refute_0_1357,plain,
xor(t4,ll0) = xor(t6,t5),
inference(resolve,[$cnf( $equal(xor(t4,xor(t5,t5)),xor(t6,t5)) )],[refute_0_1351,refute_0_1356]) ).
cnf(refute_0_1358,plain,
or(and(X_63,not(ll0)),and(not(X_63),ll0)) = xor(X_63,ll0),
inference(subst,[],[refute_0_9:[bind(X,$fot(X_63)),bind(Y,$fot(ll0))]]) ).
cnf(refute_0_1359,plain,
and(not(X_63),ll0) = ll0,
inference(subst,[],[and_boundedness:[bind(X,$fot(not(X_63)))]]) ).
cnf(refute_0_1360,plain,
( and(not(X_63),ll0) != ll0
| or(and(X_63,not(ll0)),and(not(X_63),ll0)) != xor(X_63,ll0)
| or(and(X_63,not(ll0)),ll0) = xor(X_63,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X_63,not(ll0)),and(not(X_63),ll0)),xor(X_63,ll0)) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_1361,plain,
( or(and(X_63,not(ll0)),and(not(X_63),ll0)) != xor(X_63,ll0)
| or(and(X_63,not(ll0)),ll0) = xor(X_63,ll0) ),
inference(resolve,[$cnf( $equal(and(not(X_63),ll0),ll0) )],[refute_0_1359,refute_0_1360]) ).
cnf(refute_0_1362,plain,
or(and(X_63,not(ll0)),ll0) = xor(X_63,ll0),
inference(resolve,[$cnf( $equal(or(and(X_63,not(ll0)),and(not(X_63),ll0)),xor(X_63,ll0)) )],[refute_0_1358,refute_0_1361]) ).
cnf(refute_0_1363,plain,
and(X_63,not(ll0)) = and(X_63,not(ll0)),
introduced(tautology,[refl,[$fot(and(X_63,not(ll0)))]]) ).
cnf(refute_0_1364,plain,
( and(X_63,not(ll0)) != and(X_63,not(ll0))
| not(ll0) != ll1
| and(X_63,not(ll0)) = and(X_63,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(and(X_63,not(ll0)),and(X_63,not(ll0))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_1365,plain,
( not(ll0) != ll1
| and(X_63,not(ll0)) = and(X_63,ll1) ),
inference(resolve,[$cnf( $equal(and(X_63,not(ll0)),and(X_63,not(ll0))) )],[refute_0_1363,refute_0_1364]) ).
cnf(refute_0_1366,plain,
and(X_63,not(ll0)) = and(X_63,ll1),
inference(resolve,[$cnf( $equal(not(ll0),ll1) )],[ll0_inverse,refute_0_1365]) ).
cnf(refute_0_1367,plain,
( and(X_63,ll1) != X_63
| and(X_63,not(ll0)) != and(X_63,ll1)
| and(X_63,not(ll0)) = X_63 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(X_63,not(ll0)))),bind(Y0,$fot(and(X_63,ll1))),bind(Z0,$fot(X_63))]]) ).
cnf(refute_0_1368,plain,
( and(X_63,ll1) != X_63
| and(X_63,not(ll0)) = X_63 ),
inference(resolve,[$cnf( $equal(and(X_63,not(ll0)),and(X_63,ll1)) )],[refute_0_1366,refute_0_1367]) ).
cnf(refute_0_1369,plain,
and(X_63,not(ll0)) = X_63,
inference(resolve,[$cnf( $equal(and(X_63,ll1),X_63) )],[refute_0_541,refute_0_1368]) ).
cnf(refute_0_1370,plain,
or(and(X_63,not(ll0)),ll0) = and(X_63,not(ll0)),
inference(subst,[],[or_identity:[bind(X,$fot(and(X_63,not(ll0))))]]) ).
cnf(refute_0_1371,plain,
( and(X_63,not(ll0)) != X_63
| or(and(X_63,not(ll0)),ll0) != and(X_63,not(ll0))
| or(and(X_63,not(ll0)),ll0) = X_63 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(X_63,not(ll0)),ll0))),bind(Y0,$fot(and(X_63,not(ll0)))),bind(Z0,$fot(X_63))]]) ).
cnf(refute_0_1372,plain,
( and(X_63,not(ll0)) != X_63
| or(and(X_63,not(ll0)),ll0) = X_63 ),
inference(resolve,[$cnf( $equal(or(and(X_63,not(ll0)),ll0),and(X_63,not(ll0))) )],[refute_0_1370,refute_0_1371]) ).
cnf(refute_0_1373,plain,
or(and(X_63,not(ll0)),ll0) = X_63,
inference(resolve,[$cnf( $equal(and(X_63,not(ll0)),X_63) )],[refute_0_1369,refute_0_1372]) ).
cnf(refute_0_1374,plain,
( or(and(X_63,not(ll0)),ll0) != X_63
| or(and(X_63,not(ll0)),ll0) != xor(X_63,ll0)
| X_63 = xor(X_63,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X_63,not(ll0)),ll0),xor(X_63,ll0)) ),[0],$fot(X_63)]]) ).
cnf(refute_0_1375,plain,
( or(and(X_63,not(ll0)),ll0) != xor(X_63,ll0)
| X_63 = xor(X_63,ll0) ),
inference(resolve,[$cnf( $equal(or(and(X_63,not(ll0)),ll0),X_63) )],[refute_0_1373,refute_0_1374]) ).
cnf(refute_0_1376,plain,
X_63 = xor(X_63,ll0),
inference(resolve,[$cnf( $equal(or(and(X_63,not(ll0)),ll0),xor(X_63,ll0)) )],[refute_0_1362,refute_0_1375]) ).
cnf(refute_0_1377,plain,
( X_63 != xor(X_63,ll0)
| xor(X_63,ll0) = X_63 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_63)),bind(Y0,$fot(xor(X_63,ll0)))]]) ).
cnf(refute_0_1378,plain,
xor(X_63,ll0) = X_63,
inference(resolve,[$cnf( $equal(X_63,xor(X_63,ll0)) )],[refute_0_1376,refute_0_1377]) ).
cnf(refute_0_1379,plain,
xor(t4,ll0) = t4,
inference(subst,[],[refute_0_1378:[bind(X_63,$fot(t4))]]) ).
cnf(refute_0_1380,plain,
( xor(t4,ll0) != t4
| xor(t4,ll0) != xor(t6,t5)
| t4 = xor(t6,t5) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,ll0),xor(t6,t5)) ),[0],$fot(t4)]]) ).
cnf(refute_0_1381,plain,
( xor(t4,ll0) != xor(t6,t5)
| t4 = xor(t6,t5) ),
inference(resolve,[$cnf( $equal(xor(t4,ll0),t4) )],[refute_0_1379,refute_0_1380]) ).
cnf(refute_0_1382,plain,
xor(X_333,xor(cin,xor(cin,t6))) = xor(xor(X_333,cin),xor(cin,t6)),
inference(subst,[],[xor_associative:[bind(X,$fot(X_333)),bind(Y,$fot(cin)),bind(Z,$fot(xor(cin,t6)))]]) ).
cnf(refute_0_1383,plain,
or(and(cin,not(xor(cin,t6))),and(not(cin),xor(cin,t6))) = xor(cin,xor(cin,t6)),
inference(subst,[],[refute_0_9:[bind(X,$fot(cin)),bind(Y,$fot(xor(cin,t6)))]]) ).
cnf(refute_0_1384,plain,
and(cin,or(cin,not(t6))) = cin,
inference(subst,[],[and_absorption:[bind(X,$fot(cin)),bind(Y,$fot(not(t6)))]]) ).
cnf(refute_0_1385,plain,
not(and(t6,not(cin))) = or(not(t6),not(not(cin))),
inference(subst,[],[and_demorgan:[bind(X,$fot(t6)),bind(Y,$fot(not(cin)))]]) ).
cnf(refute_0_1386,plain,
or(and(cin,not(t6)),and(not(cin),t6)) = xor(cin,t6),
inference(subst,[],[refute_0_9:[bind(X,$fot(cin)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_1387,plain,
( and(cin,not(t6)) != ll0
| or(and(cin,not(t6)),and(not(cin),t6)) != xor(cin,t6)
| or(ll0,and(not(cin),t6)) = xor(cin,t6) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(cin,not(t6)),and(not(cin),t6)),xor(cin,t6)) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_1388,plain,
( or(and(cin,not(t6)),and(not(cin),t6)) != xor(cin,t6)
| or(ll0,and(not(cin),t6)) = xor(cin,t6) ),
inference(resolve,[$cnf( $equal(and(cin,not(t6)),ll0) )],[refute_0_696,refute_0_1387]) ).
cnf(refute_0_1389,plain,
or(ll0,and(not(cin),t6)) = xor(cin,t6),
inference(resolve,[$cnf( $equal(or(and(cin,not(t6)),and(not(cin),t6)),xor(cin,t6)) )],[refute_0_1386,refute_0_1388]) ).
cnf(refute_0_1390,plain,
and(not(cin),t6) = and(t6,not(cin)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t6)),bind(Y,$fot(not(cin)))]]) ).
cnf(refute_0_1391,plain,
or(ll0,and(not(cin),t6)) = and(not(cin),t6),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(cin),t6)))]]) ).
cnf(refute_0_1392,plain,
( and(not(cin),t6) != and(t6,not(cin))
| or(ll0,and(not(cin),t6)) != and(not(cin),t6)
| or(ll0,and(not(cin),t6)) = and(t6,not(cin)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(ll0,and(not(cin),t6)))),bind(Y0,$fot(and(not(cin),t6))),bind(Z0,$fot(and(t6,not(cin))))]]) ).
cnf(refute_0_1393,plain,
( and(not(cin),t6) != and(t6,not(cin))
| or(ll0,and(not(cin),t6)) = and(t6,not(cin)) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(cin),t6)),and(not(cin),t6)) )],[refute_0_1391,refute_0_1392]) ).
cnf(refute_0_1394,plain,
or(ll0,and(not(cin),t6)) = and(t6,not(cin)),
inference(resolve,[$cnf( $equal(and(not(cin),t6),and(t6,not(cin))) )],[refute_0_1390,refute_0_1393]) ).
cnf(refute_0_1395,plain,
( or(ll0,and(not(cin),t6)) != and(t6,not(cin))
| or(ll0,and(not(cin),t6)) != xor(cin,t6)
| and(t6,not(cin)) = xor(cin,t6) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(cin),t6)),xor(cin,t6)) ),[0],$fot(and(t6,not(cin)))]]) ).
cnf(refute_0_1396,plain,
( or(ll0,and(not(cin),t6)) != xor(cin,t6)
| and(t6,not(cin)) = xor(cin,t6) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(cin),t6)),and(t6,not(cin))) )],[refute_0_1394,refute_0_1395]) ).
cnf(refute_0_1397,plain,
and(t6,not(cin)) = xor(cin,t6),
inference(resolve,[$cnf( $equal(or(ll0,and(not(cin),t6)),xor(cin,t6)) )],[refute_0_1389,refute_0_1396]) ).
cnf(refute_0_1398,plain,
( and(t6,not(cin)) != xor(cin,t6)
| not(and(t6,not(cin))) != or(not(t6),not(not(cin)))
| not(xor(cin,t6)) = or(not(t6),not(not(cin))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(t6,not(cin))),or(not(t6),not(not(cin)))) ),[0,0],$fot(xor(cin,t6))]]) ).
cnf(refute_0_1399,plain,
( not(and(t6,not(cin))) != or(not(t6),not(not(cin)))
| not(xor(cin,t6)) = or(not(t6),not(not(cin))) ),
inference(resolve,[$cnf( $equal(and(t6,not(cin)),xor(cin,t6)) )],[refute_0_1397,refute_0_1398]) ).
cnf(refute_0_1400,plain,
not(xor(cin,t6)) = or(not(t6),not(not(cin))),
inference(resolve,[$cnf( $equal(not(and(t6,not(cin))),or(not(t6),not(not(cin)))) )],[refute_0_1385,refute_0_1399]) ).
cnf(refute_0_1401,plain,
or(not(t6),cin) = or(cin,not(t6)),
inference(subst,[],[refute_0_5:[bind(X,$fot(cin)),bind(Y,$fot(not(t6)))]]) ).
cnf(refute_0_1402,plain,
not(and(t6,not(cin))) = or(not(t6),cin),
inference(subst,[],[refute_0_435:[bind(X_29,$fot(t6)),bind(X_30,$fot(cin))]]) ).
cnf(refute_0_1403,plain,
( not(and(t6,not(cin))) != or(not(t6),cin)
| or(not(t6),cin) != or(cin,not(t6))
| not(and(t6,not(cin))) = or(cin,not(t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(t6,not(cin))))),bind(Y0,$fot(or(not(t6),cin))),bind(Z0,$fot(or(cin,not(t6))))]]) ).
cnf(refute_0_1404,plain,
( or(not(t6),cin) != or(cin,not(t6))
| not(and(t6,not(cin))) = or(cin,not(t6)) ),
inference(resolve,[$cnf( $equal(not(and(t6,not(cin))),or(not(t6),cin)) )],[refute_0_1402,refute_0_1403]) ).
cnf(refute_0_1405,plain,
not(and(t6,not(cin))) = or(cin,not(t6)),
inference(resolve,[$cnf( $equal(or(not(t6),cin),or(cin,not(t6))) )],[refute_0_1401,refute_0_1404]) ).
cnf(refute_0_1406,plain,
or(not(t6),not(not(cin))) = not(and(t6,not(cin))),
inference(subst,[],[refute_0_147:[bind(X,$fot(t6)),bind(Y,$fot(not(cin)))]]) ).
cnf(refute_0_1407,plain,
( not(and(t6,not(cin))) != or(cin,not(t6))
| or(not(t6),not(not(cin))) != not(and(t6,not(cin)))
| or(not(t6),not(not(cin))) = or(cin,not(t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t6),not(not(cin))))),bind(Y0,$fot(not(and(t6,not(cin))))),bind(Z0,$fot(or(cin,not(t6))))]]) ).
cnf(refute_0_1408,plain,
( not(and(t6,not(cin))) != or(cin,not(t6))
| or(not(t6),not(not(cin))) = or(cin,not(t6)) ),
inference(resolve,[$cnf( $equal(or(not(t6),not(not(cin))),not(and(t6,not(cin)))) )],[refute_0_1406,refute_0_1407]) ).
cnf(refute_0_1409,plain,
or(not(t6),not(not(cin))) = or(cin,not(t6)),
inference(resolve,[$cnf( $equal(not(and(t6,not(cin))),or(cin,not(t6))) )],[refute_0_1405,refute_0_1408]) ).
cnf(refute_0_1410,plain,
( not(xor(cin,t6)) != or(not(t6),not(not(cin)))
| or(not(t6),not(not(cin))) != or(cin,not(t6))
| not(xor(cin,t6)) = or(cin,not(t6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(cin,t6)),or(cin,not(t6))) ),[0],$fot(or(not(t6),not(not(cin))))]]) ).
cnf(refute_0_1411,plain,
( not(xor(cin,t6)) != or(not(t6),not(not(cin)))
| not(xor(cin,t6)) = or(cin,not(t6)) ),
inference(resolve,[$cnf( $equal(or(not(t6),not(not(cin))),or(cin,not(t6))) )],[refute_0_1409,refute_0_1410]) ).
cnf(refute_0_1412,plain,
not(xor(cin,t6)) = or(cin,not(t6)),
inference(resolve,[$cnf( $equal(not(xor(cin,t6)),or(not(t6),not(not(cin)))) )],[refute_0_1400,refute_0_1411]) ).
cnf(refute_0_1413,plain,
( not(xor(cin,t6)) != or(cin,not(t6))
| or(cin,not(t6)) = not(xor(cin,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(xor(cin,t6)))),bind(Y0,$fot(or(cin,not(t6))))]]) ).
cnf(refute_0_1414,plain,
or(cin,not(t6)) = not(xor(cin,t6)),
inference(resolve,[$cnf( $equal(not(xor(cin,t6)),or(cin,not(t6))) )],[refute_0_1412,refute_0_1413]) ).
cnf(refute_0_1415,plain,
( and(cin,or(cin,not(t6))) != cin
| or(cin,not(t6)) != not(xor(cin,t6))
| and(cin,not(xor(cin,t6))) = cin ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,or(cin,not(t6))),cin) ),[0,1],$fot(not(xor(cin,t6)))]]) ).
cnf(refute_0_1416,plain,
( and(cin,or(cin,not(t6))) != cin
| and(cin,not(xor(cin,t6))) = cin ),
inference(resolve,[$cnf( $equal(or(cin,not(t6)),not(xor(cin,t6))) )],[refute_0_1414,refute_0_1415]) ).
cnf(refute_0_1417,plain,
and(cin,not(xor(cin,t6))) = cin,
inference(resolve,[$cnf( $equal(and(cin,or(cin,not(t6))),cin) )],[refute_0_1384,refute_0_1416]) ).
cnf(refute_0_1418,plain,
( and(cin,not(xor(cin,t6))) != cin
| or(and(cin,not(xor(cin,t6))),and(not(cin),xor(cin,t6))) != xor(cin,xor(cin,t6))
| or(cin,and(not(cin),xor(cin,t6))) = xor(cin,xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(cin,not(xor(cin,t6))),and(not(cin),xor(cin,t6))),xor(cin,xor(cin,t6))) ),[0,0],$fot(cin)]]) ).
cnf(refute_0_1419,plain,
( or(and(cin,not(xor(cin,t6))),and(not(cin),xor(cin,t6))) != xor(cin,xor(cin,t6))
| or(cin,and(not(cin),xor(cin,t6))) = xor(cin,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(and(cin,not(xor(cin,t6))),cin) )],[refute_0_1417,refute_0_1418]) ).
cnf(refute_0_1420,plain,
or(cin,and(not(cin),xor(cin,t6))) = xor(cin,xor(cin,t6)),
inference(resolve,[$cnf( $equal(or(and(cin,not(xor(cin,t6))),and(not(cin),xor(cin,t6))),xor(cin,xor(cin,t6))) )],[refute_0_1383,refute_0_1419]) ).
cnf(refute_0_1421,plain,
and(xor(cin,t6),or(not(cin),xor(cin,t6))) = xor(cin,t6),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(xor(cin,t6))),bind(X_20,$fot(not(cin)))]]) ).
cnf(refute_0_1422,plain,
or(not(cin),and(t6,not(cin))) = not(cin),
inference(subst,[],[refute_0_222:[bind(X_13,$fot(not(cin))),bind(X_14,$fot(t6))]]) ).
cnf(refute_0_1423,plain,
( and(t6,not(cin)) != xor(cin,t6)
| or(not(cin),and(t6,not(cin))) != not(cin)
| or(not(cin),xor(cin,t6)) = not(cin) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(cin),and(t6,not(cin))),not(cin)) ),[0,1],$fot(xor(cin,t6))]]) ).
cnf(refute_0_1424,plain,
( or(not(cin),and(t6,not(cin))) != not(cin)
| or(not(cin),xor(cin,t6)) = not(cin) ),
inference(resolve,[$cnf( $equal(and(t6,not(cin)),xor(cin,t6)) )],[refute_0_1397,refute_0_1423]) ).
cnf(refute_0_1425,plain,
or(not(cin),xor(cin,t6)) = not(cin),
inference(resolve,[$cnf( $equal(or(not(cin),and(t6,not(cin))),not(cin)) )],[refute_0_1422,refute_0_1424]) ).
cnf(refute_0_1426,plain,
( and(xor(cin,t6),or(not(cin),xor(cin,t6))) != xor(cin,t6)
| or(not(cin),xor(cin,t6)) != not(cin)
| and(xor(cin,t6),not(cin)) = xor(cin,t6) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(cin,t6),or(not(cin),xor(cin,t6))),xor(cin,t6)) ),[0,1],$fot(not(cin))]]) ).
cnf(refute_0_1427,plain,
( and(xor(cin,t6),or(not(cin),xor(cin,t6))) != xor(cin,t6)
| and(xor(cin,t6),not(cin)) = xor(cin,t6) ),
inference(resolve,[$cnf( $equal(or(not(cin),xor(cin,t6)),not(cin)) )],[refute_0_1425,refute_0_1426]) ).
cnf(refute_0_1428,plain,
and(xor(cin,t6),not(cin)) = xor(cin,t6),
inference(resolve,[$cnf( $equal(and(xor(cin,t6),or(not(cin),xor(cin,t6))),xor(cin,t6)) )],[refute_0_1421,refute_0_1427]) ).
cnf(refute_0_1429,plain,
and(xor(cin,t6),not(cin)) = and(not(cin),xor(cin,t6)),
inference(subst,[],[refute_0_116:[bind(X,$fot(not(cin))),bind(Y,$fot(xor(cin,t6)))]]) ).
cnf(refute_0_1430,plain,
( and(xor(cin,t6),not(cin)) != and(not(cin),xor(cin,t6))
| and(xor(cin,t6),not(cin)) != xor(cin,t6)
| and(not(cin),xor(cin,t6)) = xor(cin,t6) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(cin,t6),not(cin)),xor(cin,t6)) ),[0],$fot(and(not(cin),xor(cin,t6)))]]) ).
cnf(refute_0_1431,plain,
( and(xor(cin,t6),not(cin)) != xor(cin,t6)
| and(not(cin),xor(cin,t6)) = xor(cin,t6) ),
inference(resolve,[$cnf( $equal(and(xor(cin,t6),not(cin)),and(not(cin),xor(cin,t6))) )],[refute_0_1429,refute_0_1430]) ).
cnf(refute_0_1432,plain,
and(not(cin),xor(cin,t6)) = xor(cin,t6),
inference(resolve,[$cnf( $equal(and(xor(cin,t6),not(cin)),xor(cin,t6)) )],[refute_0_1428,refute_0_1431]) ).
cnf(refute_0_1433,plain,
or(cin,and(not(cin),xor(cin,t6))) = or(cin,and(not(cin),xor(cin,t6))),
introduced(tautology,[refl,[$fot(or(cin,and(not(cin),xor(cin,t6))))]]) ).
cnf(refute_0_1434,plain,
( and(not(cin),xor(cin,t6)) != xor(cin,t6)
| or(cin,and(not(cin),xor(cin,t6))) != or(cin,and(not(cin),xor(cin,t6)))
| or(cin,and(not(cin),xor(cin,t6))) = or(cin,xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,and(not(cin),xor(cin,t6))),or(cin,and(not(cin),xor(cin,t6)))) ),[1,1],$fot(xor(cin,t6))]]) ).
cnf(refute_0_1435,plain,
( and(not(cin),xor(cin,t6)) != xor(cin,t6)
| or(cin,and(not(cin),xor(cin,t6))) = or(cin,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(or(cin,and(not(cin),xor(cin,t6))),or(cin,and(not(cin),xor(cin,t6)))) )],[refute_0_1433,refute_0_1434]) ).
cnf(refute_0_1436,plain,
or(cin,and(not(cin),xor(cin,t6))) = or(cin,xor(cin,t6)),
inference(resolve,[$cnf( $equal(and(not(cin),xor(cin,t6)),xor(cin,t6)) )],[refute_0_1432,refute_0_1435]) ).
cnf(refute_0_1437,plain,
( or(cin,and(not(cin),xor(cin,t6))) != or(cin,xor(cin,t6))
| or(cin,and(not(cin),xor(cin,t6))) != xor(cin,xor(cin,t6))
| or(cin,xor(cin,t6)) = xor(cin,xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,and(not(cin),xor(cin,t6))),xor(cin,xor(cin,t6))) ),[0],$fot(or(cin,xor(cin,t6)))]]) ).
cnf(refute_0_1438,plain,
( or(cin,and(not(cin),xor(cin,t6))) != xor(cin,xor(cin,t6))
| or(cin,xor(cin,t6)) = xor(cin,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(or(cin,and(not(cin),xor(cin,t6))),or(cin,xor(cin,t6))) )],[refute_0_1436,refute_0_1437]) ).
cnf(refute_0_1439,plain,
or(cin,xor(cin,t6)) = xor(cin,xor(cin,t6)),
inference(resolve,[$cnf( $equal(or(cin,and(not(cin),xor(cin,t6))),xor(cin,xor(cin,t6))) )],[refute_0_1420,refute_0_1438]) ).
cnf(refute_0_1440,plain,
( or(cin,xor(cin,t6)) != xor(cin,xor(cin,t6))
| xor(cin,xor(cin,t6)) = or(cin,xor(cin,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(cin,xor(cin,t6)))),bind(Y0,$fot(xor(cin,xor(cin,t6))))]]) ).
cnf(refute_0_1441,plain,
xor(cin,xor(cin,t6)) = or(cin,xor(cin,t6)),
inference(resolve,[$cnf( $equal(or(cin,xor(cin,t6)),xor(cin,xor(cin,t6))) )],[refute_0_1439,refute_0_1440]) ).
cnf(refute_0_1442,plain,
( xor(X_333,xor(cin,xor(cin,t6))) != xor(xor(X_333,cin),xor(cin,t6))
| xor(cin,xor(cin,t6)) != or(cin,xor(cin,t6))
| xor(X_333,or(cin,xor(cin,t6))) = xor(xor(X_333,cin),xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,xor(cin,xor(cin,t6))),xor(xor(X_333,cin),xor(cin,t6))) ),[0,1],$fot(or(cin,xor(cin,t6)))]]) ).
cnf(refute_0_1443,plain,
( xor(X_333,xor(cin,xor(cin,t6))) != xor(xor(X_333,cin),xor(cin,t6))
| xor(X_333,or(cin,xor(cin,t6))) = xor(xor(X_333,cin),xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(cin,t6)),or(cin,xor(cin,t6))) )],[refute_0_1441,refute_0_1442]) ).
cnf(refute_0_1444,plain,
xor(X_333,or(cin,xor(cin,t6))) = xor(xor(X_333,cin),xor(cin,t6)),
inference(resolve,[$cnf( $equal(xor(X_333,xor(cin,xor(cin,t6))),xor(xor(X_333,cin),xor(cin,t6))) )],[refute_0_1382,refute_0_1443]) ).
cnf(refute_0_1445,plain,
xor(X,xor(X_333,X_334)) = xor(xor(X_333,X_334),X),
inference(subst,[],[xor_commutative:[bind(Y,$fot(xor(X_333,X_334)))]]) ).
cnf(refute_0_1446,plain,
xor(X_333,xor(X_334,X)) = xor(xor(X_333,X_334),X),
inference(subst,[],[xor_associative:[bind(X,$fot(X_333)),bind(Y,$fot(X_334)),bind(Z,$fot(X))]]) ).
cnf(refute_0_1447,plain,
( xor(X_333,xor(X_334,X)) != xor(xor(X_333,X_334),X)
| xor(xor(X_333,X_334),X) = xor(X_333,xor(X_334,X)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X_333,xor(X_334,X)))),bind(Y0,$fot(xor(xor(X_333,X_334),X)))]]) ).
cnf(refute_0_1448,plain,
xor(xor(X_333,X_334),X) = xor(X_333,xor(X_334,X)),
inference(resolve,[$cnf( $equal(xor(X_333,xor(X_334,X)),xor(xor(X_333,X_334),X)) )],[refute_0_1446,refute_0_1447]) ).
cnf(refute_0_1449,plain,
( xor(X,xor(X_333,X_334)) != xor(xor(X_333,X_334),X)
| xor(xor(X_333,X_334),X) != xor(X_333,xor(X_334,X))
| xor(X,xor(X_333,X_334)) = xor(X_333,xor(X_334,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(X,xor(X_333,X_334)),xor(X_333,xor(X_334,X))) ),[0],$fot(xor(xor(X_333,X_334),X))]]) ).
cnf(refute_0_1450,plain,
( xor(X,xor(X_333,X_334)) != xor(xor(X_333,X_334),X)
| xor(X,xor(X_333,X_334)) = xor(X_333,xor(X_334,X)) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,X_334),X),xor(X_333,xor(X_334,X))) )],[refute_0_1448,refute_0_1449]) ).
cnf(refute_0_1451,plain,
xor(X,xor(X_333,X_334)) = xor(X_333,xor(X_334,X)),
inference(resolve,[$cnf( $equal(xor(X,xor(X_333,X_334)),xor(xor(X_333,X_334),X)) )],[refute_0_1445,refute_0_1450]) ).
cnf(refute_0_1452,plain,
( xor(X,xor(X_333,X_334)) != xor(X_333,xor(X_334,X))
| xor(X_333,xor(X_334,X)) = xor(X,xor(X_333,X_334)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X,xor(X_333,X_334)))),bind(Y0,$fot(xor(X_333,xor(X_334,X))))]]) ).
cnf(refute_0_1453,plain,
xor(X_333,xor(X_334,X)) = xor(X,xor(X_333,X_334)),
inference(resolve,[$cnf( $equal(xor(X,xor(X_333,X_334)),xor(X_333,xor(X_334,X))) )],[refute_0_1451,refute_0_1452]) ).
cnf(refute_0_1454,plain,
xor(t6,xor(X_333,cin)) = xor(cin,xor(t6,X_333)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(cin)),bind(X_333,$fot(t6)),bind(X_334,$fot(X_333))]]) ).
cnf(refute_0_1455,plain,
xor(cin,xor(t6,xor(X_333,cin))) = xor(cin,xor(t6,xor(X_333,cin))),
introduced(tautology,[refl,[$fot(xor(cin,xor(t6,xor(X_333,cin))))]]) ).
cnf(refute_0_1456,plain,
( xor(cin,xor(t6,xor(X_333,cin))) != xor(cin,xor(t6,xor(X_333,cin)))
| xor(t6,xor(X_333,cin)) != xor(cin,xor(t6,X_333))
| xor(cin,xor(t6,xor(X_333,cin))) = xor(cin,xor(cin,xor(t6,X_333))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t6,xor(X_333,cin))),xor(cin,xor(t6,xor(X_333,cin)))) ),[1,1],$fot(xor(cin,xor(t6,X_333)))]]) ).
cnf(refute_0_1457,plain,
( xor(t6,xor(X_333,cin)) != xor(cin,xor(t6,X_333))
| xor(cin,xor(t6,xor(X_333,cin))) = xor(cin,xor(cin,xor(t6,X_333))) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t6,xor(X_333,cin))),xor(cin,xor(t6,xor(X_333,cin)))) )],[refute_0_1455,refute_0_1456]) ).
cnf(refute_0_1458,plain,
xor(cin,xor(t6,xor(X_333,cin))) = xor(cin,xor(cin,xor(t6,X_333))),
inference(resolve,[$cnf( $equal(xor(t6,xor(X_333,cin)),xor(cin,xor(t6,X_333))) )],[refute_0_1454,refute_0_1457]) ).
cnf(refute_0_1459,plain,
xor(t6,xor(xor(X_333,cin),cin)) = xor(cin,xor(t6,xor(X_333,cin))),
inference(subst,[],[refute_0_1453:[bind(X,$fot(cin)),bind(X_333,$fot(t6)),bind(X_334,$fot(xor(X_333,cin)))]]) ).
cnf(refute_0_1460,plain,
xor(xor(X_333,cin),xor(cin,t6)) = xor(t6,xor(xor(X_333,cin),cin)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(t6)),bind(X_333,$fot(xor(X_333,cin))),bind(X_334,$fot(cin))]]) ).
cnf(refute_0_1461,plain,
( xor(t6,xor(xor(X_333,cin),cin)) != xor(cin,xor(t6,xor(X_333,cin)))
| xor(xor(X_333,cin),xor(cin,t6)) != xor(t6,xor(xor(X_333,cin),cin))
| xor(xor(X_333,cin),xor(cin,t6)) = xor(cin,xor(t6,xor(X_333,cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X_333,cin),xor(cin,t6)))),bind(Y0,$fot(xor(t6,xor(xor(X_333,cin),cin)))),bind(Z0,$fot(xor(cin,xor(t6,xor(X_333,cin)))))]]) ).
cnf(refute_0_1462,plain,
( xor(t6,xor(xor(X_333,cin),cin)) != xor(cin,xor(t6,xor(X_333,cin)))
| xor(xor(X_333,cin),xor(cin,t6)) = xor(cin,xor(t6,xor(X_333,cin))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,cin),xor(cin,t6)),xor(t6,xor(xor(X_333,cin),cin))) )],[refute_0_1460,refute_0_1461]) ).
cnf(refute_0_1463,plain,
xor(xor(X_333,cin),xor(cin,t6)) = xor(cin,xor(t6,xor(X_333,cin))),
inference(resolve,[$cnf( $equal(xor(t6,xor(xor(X_333,cin),cin)),xor(cin,xor(t6,xor(X_333,cin)))) )],[refute_0_1459,refute_0_1462]) ).
cnf(refute_0_1464,plain,
( xor(cin,xor(t6,xor(X_333,cin))) != xor(cin,xor(cin,xor(t6,X_333)))
| xor(xor(X_333,cin),xor(cin,t6)) != xor(cin,xor(t6,xor(X_333,cin)))
| xor(xor(X_333,cin),xor(cin,t6)) = xor(cin,xor(cin,xor(t6,X_333))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X_333,cin),xor(cin,t6)))),bind(Y0,$fot(xor(cin,xor(t6,xor(X_333,cin))))),bind(Z0,$fot(xor(cin,xor(cin,xor(t6,X_333)))))]]) ).
cnf(refute_0_1465,plain,
( xor(cin,xor(t6,xor(X_333,cin))) != xor(cin,xor(cin,xor(t6,X_333)))
| xor(xor(X_333,cin),xor(cin,t6)) = xor(cin,xor(cin,xor(t6,X_333))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,cin),xor(cin,t6)),xor(cin,xor(t6,xor(X_333,cin)))) )],[refute_0_1463,refute_0_1464]) ).
cnf(refute_0_1466,plain,
xor(xor(X_333,cin),xor(cin,t6)) = xor(cin,xor(cin,xor(t6,X_333))),
inference(resolve,[$cnf( $equal(xor(cin,xor(t6,xor(X_333,cin))),xor(cin,xor(cin,xor(t6,X_333)))) )],[refute_0_1458,refute_0_1465]) ).
cnf(refute_0_1467,plain,
( xor(X_333,or(cin,xor(cin,t6))) != xor(xor(X_333,cin),xor(cin,t6))
| xor(xor(X_333,cin),xor(cin,t6)) != xor(cin,xor(cin,xor(t6,X_333)))
| xor(X_333,or(cin,xor(cin,t6))) = xor(cin,xor(cin,xor(t6,X_333))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(X_333,or(cin,xor(cin,t6))),xor(cin,xor(cin,xor(t6,X_333)))) ),[0],$fot(xor(xor(X_333,cin),xor(cin,t6)))]]) ).
cnf(refute_0_1468,plain,
( xor(X_333,or(cin,xor(cin,t6))) != xor(xor(X_333,cin),xor(cin,t6))
| xor(X_333,or(cin,xor(cin,t6))) = xor(cin,xor(cin,xor(t6,X_333))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,cin),xor(cin,t6)),xor(cin,xor(cin,xor(t6,X_333)))) )],[refute_0_1466,refute_0_1467]) ).
cnf(refute_0_1469,plain,
xor(X_333,or(cin,xor(cin,t6))) = xor(cin,xor(cin,xor(t6,X_333))),
inference(resolve,[$cnf( $equal(xor(X_333,or(cin,xor(cin,t6))),xor(xor(X_333,cin),xor(cin,t6))) )],[refute_0_1444,refute_0_1468]) ).
cnf(refute_0_1470,plain,
xor(cin,xor(cin,t6)) = t6,
inference(subst,[],[refute_0_88:[bind(X_334,$fot(cin)),bind(X_335,$fot(t6))]]) ).
cnf(refute_0_1471,plain,
( or(cin,xor(cin,t6)) != xor(cin,xor(cin,t6))
| xor(cin,xor(cin,t6)) != t6
| or(cin,xor(cin,t6)) = t6 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(cin,xor(cin,t6)),t6) ),[0],$fot(xor(cin,xor(cin,t6)))]]) ).
cnf(refute_0_1472,plain,
( or(cin,xor(cin,t6)) != xor(cin,xor(cin,t6))
| or(cin,xor(cin,t6)) = t6 ),
inference(resolve,[$cnf( $equal(xor(cin,xor(cin,t6)),t6) )],[refute_0_1470,refute_0_1471]) ).
cnf(refute_0_1473,plain,
or(cin,xor(cin,t6)) = t6,
inference(resolve,[$cnf( $equal(or(cin,xor(cin,t6)),xor(cin,xor(cin,t6))) )],[refute_0_1439,refute_0_1472]) ).
cnf(refute_0_1474,plain,
xor(X_333,or(cin,xor(cin,t6))) = xor(X_333,or(cin,xor(cin,t6))),
introduced(tautology,[refl,[$fot(xor(X_333,or(cin,xor(cin,t6))))]]) ).
cnf(refute_0_1475,plain,
( or(cin,xor(cin,t6)) != t6
| xor(X_333,or(cin,xor(cin,t6))) != xor(X_333,or(cin,xor(cin,t6)))
| xor(X_333,or(cin,xor(cin,t6))) = xor(X_333,t6) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,or(cin,xor(cin,t6))),xor(X_333,or(cin,xor(cin,t6)))) ),[1,1],$fot(t6)]]) ).
cnf(refute_0_1476,plain,
( or(cin,xor(cin,t6)) != t6
| xor(X_333,or(cin,xor(cin,t6))) = xor(X_333,t6) ),
inference(resolve,[$cnf( $equal(xor(X_333,or(cin,xor(cin,t6))),xor(X_333,or(cin,xor(cin,t6)))) )],[refute_0_1474,refute_0_1475]) ).
cnf(refute_0_1477,plain,
xor(X_333,or(cin,xor(cin,t6))) = xor(X_333,t6),
inference(resolve,[$cnf( $equal(or(cin,xor(cin,t6)),t6) )],[refute_0_1473,refute_0_1476]) ).
cnf(refute_0_1478,plain,
( xor(X_333,or(cin,xor(cin,t6))) != xor(X_333,t6)
| xor(X_333,or(cin,xor(cin,t6))) != xor(cin,xor(cin,xor(t6,X_333)))
| xor(X_333,t6) = xor(cin,xor(cin,xor(t6,X_333))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,or(cin,xor(cin,t6))),xor(cin,xor(cin,xor(t6,X_333)))) ),[0],$fot(xor(X_333,t6))]]) ).
cnf(refute_0_1479,plain,
( xor(X_333,or(cin,xor(cin,t6))) != xor(cin,xor(cin,xor(t6,X_333)))
| xor(X_333,t6) = xor(cin,xor(cin,xor(t6,X_333))) ),
inference(resolve,[$cnf( $equal(xor(X_333,or(cin,xor(cin,t6))),xor(X_333,t6)) )],[refute_0_1477,refute_0_1478]) ).
cnf(refute_0_1480,plain,
xor(cin,xor(cin,xor(t6,X_333))) = xor(t6,X_333),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(cin)),bind(X_335,$fot(xor(t6,X_333)))]]) ).
cnf(refute_0_1481,plain,
( xor(X_333,t6) != xor(cin,xor(cin,xor(t6,X_333)))
| xor(cin,xor(cin,xor(t6,X_333))) != xor(t6,X_333)
| xor(X_333,t6) = xor(t6,X_333) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(X_333,t6),xor(t6,X_333)) ),[0],$fot(xor(cin,xor(cin,xor(t6,X_333))))]]) ).
cnf(refute_0_1482,plain,
( xor(X_333,t6) != xor(cin,xor(cin,xor(t6,X_333)))
| xor(X_333,t6) = xor(t6,X_333) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(cin,xor(t6,X_333))),xor(t6,X_333)) )],[refute_0_1480,refute_0_1481]) ).
cnf(refute_0_1483,plain,
( xor(X_333,or(cin,xor(cin,t6))) != xor(cin,xor(cin,xor(t6,X_333)))
| xor(X_333,t6) = xor(t6,X_333) ),
inference(resolve,[$cnf( $equal(xor(X_333,t6),xor(cin,xor(cin,xor(t6,X_333)))) )],[refute_0_1479,refute_0_1482]) ).
cnf(refute_0_1484,plain,
xor(X_333,t6) = xor(t6,X_333),
inference(resolve,[$cnf( $equal(xor(X_333,or(cin,xor(cin,t6))),xor(cin,xor(cin,xor(t6,X_333)))) )],[refute_0_1469,refute_0_1483]) ).
cnf(refute_0_1485,plain,
( xor(X_333,t6) != xor(t6,X_333)
| xor(t6,X_333) = xor(X_333,t6) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X_333,t6))),bind(Y0,$fot(xor(t6,X_333)))]]) ).
cnf(refute_0_1486,plain,
xor(t6,X_333) = xor(X_333,t6),
inference(resolve,[$cnf( $equal(xor(X_333,t6),xor(t6,X_333)) )],[refute_0_1484,refute_0_1485]) ).
cnf(refute_0_1487,plain,
xor(t6,t5) = xor(t5,t6),
inference(subst,[],[refute_0_1486:[bind(X_333,$fot(t5))]]) ).
cnf(refute_0_1488,plain,
( t4 != xor(t6,t5)
| xor(t6,t5) != xor(t5,t6)
| t4 = xor(t5,t6) ),
introduced(tautology,[equality,[$cnf( ~ $equal(t4,xor(t5,t6)) ),[0],$fot(xor(t6,t5))]]) ).
cnf(refute_0_1489,plain,
( t4 != xor(t6,t5)
| t4 = xor(t5,t6) ),
inference(resolve,[$cnf( $equal(xor(t6,t5),xor(t5,t6)) )],[refute_0_1487,refute_0_1488]) ).
cnf(refute_0_1490,plain,
( xor(t4,ll0) != xor(t6,t5)
| t4 = xor(t5,t6) ),
inference(resolve,[$cnf( $equal(t4,xor(t6,t5)) )],[refute_0_1381,refute_0_1489]) ).
cnf(refute_0_1491,plain,
t4 = xor(t5,t6),
inference(resolve,[$cnf( $equal(xor(t4,ll0),xor(t6,t5)) )],[refute_0_1357,refute_0_1490]) ).
cnf(refute_0_1492,plain,
( t4 != xor(t5,t6)
| xor(t5,t6) = t4 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(t4)),bind(Y0,$fot(xor(t5,t6)))]]) ).
cnf(refute_0_1493,plain,
xor(t5,t6) = t4,
inference(resolve,[$cnf( $equal(t4,xor(t5,t6)) )],[refute_0_1491,refute_0_1492]) ).
cnf(refute_0_1494,plain,
( xor(t1,xor(t5,t6)) != xor(carry,t6)
| xor(t5,t6) != t4
| xor(t1,t4) = xor(carry,t6) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,xor(t5,t6)),xor(carry,t6)) ),[0,1],$fot(t4)]]) ).
cnf(refute_0_1495,plain,
( xor(t1,xor(t5,t6)) != xor(carry,t6)
| xor(t1,t4) = xor(carry,t6) ),
inference(resolve,[$cnf( $equal(xor(t5,t6),t4) )],[refute_0_1493,refute_0_1494]) ).
cnf(refute_0_1496,plain,
xor(t1,t4) = xor(carry,t6),
inference(resolve,[$cnf( $equal(xor(t1,xor(t5,t6)),xor(carry,t6)) )],[refute_0_1350,refute_0_1495]) ).
cnf(refute_0_1497,plain,
( xor(b,xor(t1,t4)) != xor(t3,t4)
| xor(t1,t4) != xor(carry,t6)
| xor(b,xor(carry,t6)) = xor(t3,t4) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,xor(t1,t4)),xor(t3,t4)) ),[0,1],$fot(xor(carry,t6))]]) ).
cnf(refute_0_1498,plain,
( xor(b,xor(t1,t4)) != xor(t3,t4)
| xor(b,xor(carry,t6)) = xor(t3,t4) ),
inference(resolve,[$cnf( $equal(xor(t1,t4),xor(carry,t6)) )],[refute_0_1496,refute_0_1497]) ).
cnf(refute_0_1499,plain,
xor(b,xor(carry,t6)) = xor(t3,t4),
inference(resolve,[$cnf( $equal(xor(b,xor(t1,t4)),xor(t3,t4)) )],[refute_0_1234,refute_0_1498]) ).
cnf(refute_0_1500,plain,
( xor(b,xor(carry,t6)) != xor(t3,t4)
| xor(b,xor(xor(carry,t6),Z)) != xor(xor(b,xor(carry,t6)),Z)
| xor(b,xor(xor(carry,t6),Z)) = xor(xor(t3,t4),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,xor(xor(carry,t6),Z)),xor(xor(b,xor(carry,t6)),Z)) ),[1,0],$fot(xor(t3,t4))]]) ).
cnf(refute_0_1501,plain,
( xor(b,xor(xor(carry,t6),Z)) != xor(xor(b,xor(carry,t6)),Z)
| xor(b,xor(xor(carry,t6),Z)) = xor(xor(t3,t4),Z) ),
inference(resolve,[$cnf( $equal(xor(b,xor(carry,t6)),xor(t3,t4)) )],[refute_0_1499,refute_0_1500]) ).
cnf(refute_0_1502,plain,
xor(b,xor(xor(carry,t6),Z)) = xor(xor(t3,t4),Z),
inference(resolve,[$cnf( $equal(xor(b,xor(xor(carry,t6),Z)),xor(xor(b,xor(carry,t6)),Z)) )],[refute_0_1181,refute_0_1501]) ).
cnf(refute_0_1503,plain,
xor(xor(carry,t6),Z) = xor(carry,xor(t6,Z)),
inference(subst,[],[refute_0_526:[bind(X,$fot(carry)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_1504,plain,
xor(b,xor(xor(carry,t6),Z)) = xor(b,xor(xor(carry,t6),Z)),
introduced(tautology,[refl,[$fot(xor(b,xor(xor(carry,t6),Z)))]]) ).
cnf(refute_0_1505,plain,
( xor(b,xor(xor(carry,t6),Z)) != xor(b,xor(xor(carry,t6),Z))
| xor(xor(carry,t6),Z) != xor(carry,xor(t6,Z))
| xor(b,xor(xor(carry,t6),Z)) = xor(b,xor(carry,xor(t6,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,xor(xor(carry,t6),Z)),xor(b,xor(xor(carry,t6),Z))) ),[1,1],$fot(xor(carry,xor(t6,Z)))]]) ).
cnf(refute_0_1506,plain,
( xor(xor(carry,t6),Z) != xor(carry,xor(t6,Z))
| xor(b,xor(xor(carry,t6),Z)) = xor(b,xor(carry,xor(t6,Z))) ),
inference(resolve,[$cnf( $equal(xor(b,xor(xor(carry,t6),Z)),xor(b,xor(xor(carry,t6),Z))) )],[refute_0_1504,refute_0_1505]) ).
cnf(refute_0_1507,plain,
xor(b,xor(xor(carry,t6),Z)) = xor(b,xor(carry,xor(t6,Z))),
inference(resolve,[$cnf( $equal(xor(xor(carry,t6),Z),xor(carry,xor(t6,Z))) )],[refute_0_1503,refute_0_1506]) ).
cnf(refute_0_1508,plain,
( xor(b,xor(xor(carry,t6),Z)) != xor(b,xor(carry,xor(t6,Z)))
| xor(b,xor(xor(carry,t6),Z)) != xor(xor(t3,t4),Z)
| xor(b,xor(carry,xor(t6,Z))) = xor(xor(t3,t4),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,xor(xor(carry,t6),Z)),xor(xor(t3,t4),Z)) ),[0],$fot(xor(b,xor(carry,xor(t6,Z))))]]) ).
cnf(refute_0_1509,plain,
( xor(b,xor(xor(carry,t6),Z)) != xor(xor(t3,t4),Z)
| xor(b,xor(carry,xor(t6,Z))) = xor(xor(t3,t4),Z) ),
inference(resolve,[$cnf( $equal(xor(b,xor(xor(carry,t6),Z)),xor(b,xor(carry,xor(t6,Z)))) )],[refute_0_1507,refute_0_1508]) ).
cnf(refute_0_1510,plain,
xor(xor(t3,t4),Z) = xor(t3,xor(t4,Z)),
inference(subst,[],[refute_0_526:[bind(X,$fot(t3)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_1511,plain,
( xor(b,xor(carry,xor(t6,Z))) != xor(xor(t3,t4),Z)
| xor(xor(t3,t4),Z) != xor(t3,xor(t4,Z))
| xor(b,xor(carry,xor(t6,Z))) = xor(t3,xor(t4,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(b,xor(carry,xor(t6,Z))),xor(t3,xor(t4,Z))) ),[0],$fot(xor(xor(t3,t4),Z))]]) ).
cnf(refute_0_1512,plain,
( xor(b,xor(carry,xor(t6,Z))) != xor(xor(t3,t4),Z)
| xor(b,xor(carry,xor(t6,Z))) = xor(t3,xor(t4,Z)) ),
inference(resolve,[$cnf( $equal(xor(xor(t3,t4),Z),xor(t3,xor(t4,Z))) )],[refute_0_1510,refute_0_1511]) ).
cnf(refute_0_1513,plain,
( xor(b,xor(xor(carry,t6),Z)) != xor(xor(t3,t4),Z)
| xor(b,xor(carry,xor(t6,Z))) = xor(t3,xor(t4,Z)) ),
inference(resolve,[$cnf( $equal(xor(b,xor(carry,xor(t6,Z))),xor(xor(t3,t4),Z)) )],[refute_0_1509,refute_0_1512]) ).
cnf(refute_0_1514,plain,
xor(b,xor(carry,xor(t6,Z))) = xor(t3,xor(t4,Z)),
inference(resolve,[$cnf( $equal(xor(b,xor(xor(carry,t6),Z)),xor(xor(t3,t4),Z)) )],[refute_0_1502,refute_0_1513]) ).
cnf(refute_0_1515,plain,
xor(b,xor(b,xor(t2,Z))) = xor(t2,Z),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(b)),bind(X_335,$fot(xor(t2,Z)))]]) ).
cnf(refute_0_1516,plain,
or(and(xor(t1,t4),not(Y)),and(not(xor(t1,t4)),Y)) = xor(xor(t1,t4),Y),
inference(subst,[],[refute_0_9:[bind(X,$fot(xor(t1,t4)))]]) ).
cnf(refute_0_1517,plain,
not(not(and(or(carry,t4),or(t1,not(t4))))) = and(or(carry,t4),or(t1,not(t4))),
inference(subst,[],[not_involution:[bind(X,$fot(and(or(carry,t4),or(t1,not(t4)))))]]) ).
cnf(refute_0_1518,plain,
or(and(t1,not(t4)),and(not(t1),t4)) = xor(t1,t4),
inference(subst,[],[refute_0_9:[bind(X,$fot(t1)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_1519,plain,
and(not(carry),not(t4)) = and(t1,and(t5,not(t4))),
inference(subst,[],[refute_0_178:[bind(X_222,$fot(not(t4)))]]) ).
cnf(refute_0_1520,plain,
( and(not(carry),not(t4)) != and(t1,and(t5,not(t4)))
| and(t5,not(t4)) != not(t4)
| and(not(carry),not(t4)) = and(t1,not(t4)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),not(t4)),and(t1,and(t5,not(t4)))) ),[1,1],$fot(not(t4))]]) ).
cnf(refute_0_1521,plain,
( and(not(carry),not(t4)) != and(t1,and(t5,not(t4)))
| and(not(carry),not(t4)) = and(t1,not(t4)) ),
inference(resolve,[$cnf( $equal(and(t5,not(t4)),not(t4)) )],[refute_0_981,refute_0_1520]) ).
cnf(refute_0_1522,plain,
and(not(carry),not(t4)) = and(t1,not(t4)),
inference(resolve,[$cnf( $equal(and(not(carry),not(t4)),and(t1,and(t5,not(t4)))) )],[refute_0_1519,refute_0_1521]) ).
cnf(refute_0_1523,plain,
and(not(carry),not(t4)) = not(or(carry,t4)),
inference(subst,[],[refute_0_101:[bind(X,$fot(carry)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_1524,plain,
( and(not(carry),not(t4)) != and(t1,not(t4))
| and(not(carry),not(t4)) != not(or(carry,t4))
| not(or(carry,t4)) = and(t1,not(t4)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),not(t4)),and(t1,not(t4))) ),[0],$fot(not(or(carry,t4)))]]) ).
cnf(refute_0_1525,plain,
( and(not(carry),not(t4)) != and(t1,not(t4))
| not(or(carry,t4)) = and(t1,not(t4)) ),
inference(resolve,[$cnf( $equal(and(not(carry),not(t4)),not(or(carry,t4))) )],[refute_0_1523,refute_0_1524]) ).
cnf(refute_0_1526,plain,
not(or(carry,t4)) = and(t1,not(t4)),
inference(resolve,[$cnf( $equal(and(not(carry),not(t4)),and(t1,not(t4))) )],[refute_0_1522,refute_0_1525]) ).
cnf(refute_0_1527,plain,
( not(or(carry,t4)) != and(t1,not(t4))
| and(t1,not(t4)) = not(or(carry,t4)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(carry,t4)))),bind(Y0,$fot(and(t1,not(t4))))]]) ).
cnf(refute_0_1528,plain,
and(t1,not(t4)) = not(or(carry,t4)),
inference(resolve,[$cnf( $equal(not(or(carry,t4)),and(t1,not(t4))) )],[refute_0_1526,refute_0_1527]) ).
cnf(refute_0_1529,plain,
( and(t1,not(t4)) != not(or(carry,t4))
| or(and(t1,not(t4)),and(not(t1),t4)) != xor(t1,t4)
| or(not(or(carry,t4)),and(not(t1),t4)) = xor(t1,t4) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t1,not(t4)),and(not(t1),t4)),xor(t1,t4)) ),[0,0],$fot(not(or(carry,t4)))]]) ).
cnf(refute_0_1530,plain,
( or(and(t1,not(t4)),and(not(t1),t4)) != xor(t1,t4)
| or(not(or(carry,t4)),and(not(t1),t4)) = xor(t1,t4) ),
inference(resolve,[$cnf( $equal(and(t1,not(t4)),not(or(carry,t4))) )],[refute_0_1528,refute_0_1529]) ).
cnf(refute_0_1531,plain,
or(not(or(carry,t4)),and(not(t1),t4)) = xor(t1,t4),
inference(resolve,[$cnf( $equal(or(and(t1,not(t4)),and(not(t1),t4)),xor(t1,t4)) )],[refute_0_1518,refute_0_1530]) ).
cnf(refute_0_1532,plain,
or(not(or(carry,t4)),and(not(t1),t4)) = not(and(or(carry,t4),or(t1,not(t4)))),
inference(subst,[],[refute_0_1337:[bind(X,$fot(or(carry,t4))),bind(X_78,$fot(t4)),bind(X_79,$fot(t1))]]) ).
cnf(refute_0_1533,plain,
( or(not(or(carry,t4)),and(not(t1),t4)) != not(and(or(carry,t4),or(t1,not(t4))))
| or(not(or(carry,t4)),and(not(t1),t4)) != xor(t1,t4)
| not(and(or(carry,t4),or(t1,not(t4)))) = xor(t1,t4) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(or(carry,t4)),and(not(t1),t4)),xor(t1,t4)) ),[0],$fot(not(and(or(carry,t4),or(t1,not(t4)))))]]) ).
cnf(refute_0_1534,plain,
( or(not(or(carry,t4)),and(not(t1),t4)) != xor(t1,t4)
| not(and(or(carry,t4),or(t1,not(t4)))) = xor(t1,t4) ),
inference(resolve,[$cnf( $equal(or(not(or(carry,t4)),and(not(t1),t4)),not(and(or(carry,t4),or(t1,not(t4))))) )],[refute_0_1532,refute_0_1533]) ).
cnf(refute_0_1535,plain,
not(and(or(carry,t4),or(t1,not(t4)))) = xor(t1,t4),
inference(resolve,[$cnf( $equal(or(not(or(carry,t4)),and(not(t1),t4)),xor(t1,t4)) )],[refute_0_1531,refute_0_1534]) ).
cnf(refute_0_1536,plain,
( not(and(or(carry,t4),or(t1,not(t4)))) != xor(t1,t4)
| not(not(and(or(carry,t4),or(t1,not(t4))))) != and(or(carry,t4),or(t1,not(t4)))
| not(xor(t1,t4)) = and(or(carry,t4),or(t1,not(t4))) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(or(carry,t4),or(t1,not(t4))))),and(or(carry,t4),or(t1,not(t4)))) ),[0,0],$fot(xor(t1,t4))]]) ).
cnf(refute_0_1537,plain,
( not(not(and(or(carry,t4),or(t1,not(t4))))) != and(or(carry,t4),or(t1,not(t4)))
| not(xor(t1,t4)) = and(or(carry,t4),or(t1,not(t4))) ),
inference(resolve,[$cnf( $equal(not(and(or(carry,t4),or(t1,not(t4)))),xor(t1,t4)) )],[refute_0_1535,refute_0_1536]) ).
cnf(refute_0_1538,plain,
not(xor(t1,t4)) = and(or(carry,t4),or(t1,not(t4))),
inference(resolve,[$cnf( $equal(not(not(and(or(carry,t4),or(t1,not(t4))))),and(or(carry,t4),or(t1,not(t4)))) )],[refute_0_1517,refute_0_1537]) ).
cnf(refute_0_1539,plain,
and(or(carry,t4),ll1) = or(carry,t4),
inference(subst,[],[and_identity:[bind(X,$fot(or(carry,t4)))]]) ).
cnf(refute_0_1540,plain,
not(and(not(t1),t4)) = not(and(t4,not(t1))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(t4)),bind(X_32,$fot(not(t1)))]]) ).
cnf(refute_0_1541,plain,
ll0 = and(t4,and(not(X),not(t4))),
inference(subst,[],[refute_0_917:[bind(X_222,$fot(not(X)))]]) ).
cnf(refute_0_1542,plain,
( and(not(X),not(t4)) != not(or(X,t4))
| ll0 != and(t4,and(not(X),not(t4)))
| ll0 = and(t4,not(or(X,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(t4,and(not(X),not(t4)))) ),[1,1],$fot(not(or(X,t4)))]]) ).
cnf(refute_0_1543,plain,
( ll0 != and(t4,and(not(X),not(t4)))
| ll0 = and(t4,not(or(X,t4))) ),
inference(resolve,[$cnf( $equal(and(not(X),not(t4)),not(or(X,t4))) )],[refute_0_1257,refute_0_1542]) ).
cnf(refute_0_1544,plain,
ll0 = and(t4,not(or(X,t4))),
inference(resolve,[$cnf( $equal(ll0,and(t4,and(not(X),not(t4)))) )],[refute_0_1541,refute_0_1543]) ).
cnf(refute_0_1545,plain,
ll0 = and(t4,not(or(t1,t4))),
inference(subst,[],[refute_0_1544:[bind(X,$fot(t1))]]) ).
cnf(refute_0_1546,plain,
( ll0 != and(t4,not(or(t1,t4)))
| not(or(t1,t4)) != not(t1)
| ll0 = and(t4,not(t1)) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(t4,not(or(t1,t4)))) ),[1,1],$fot(not(t1))]]) ).
cnf(refute_0_1547,plain,
( ll0 != and(t4,not(or(t1,t4)))
| ll0 = and(t4,not(t1)) ),
inference(resolve,[$cnf( $equal(not(or(t1,t4)),not(t1)) )],[refute_0_1294,refute_0_1546]) ).
cnf(refute_0_1548,plain,
ll0 = and(t4,not(t1)),
inference(resolve,[$cnf( $equal(ll0,and(t4,not(or(t1,t4)))) )],[refute_0_1545,refute_0_1547]) ).
cnf(refute_0_1549,plain,
( ll0 != and(t4,not(t1))
| and(t4,not(t1)) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(t4,not(t1))))]]) ).
cnf(refute_0_1550,plain,
and(t4,not(t1)) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(t4,not(t1))) )],[refute_0_1548,refute_0_1549]) ).
cnf(refute_0_1551,plain,
( and(t4,not(t1)) != ll0
| not(and(not(t1),t4)) != not(and(t4,not(t1)))
| not(and(not(t1),t4)) = not(ll0) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t1),t4)),not(and(t4,not(t1)))) ),[1,0],$fot(ll0)]]) ).
cnf(refute_0_1552,plain,
( not(and(not(t1),t4)) != not(and(t4,not(t1)))
| not(and(not(t1),t4)) = not(ll0) ),
inference(resolve,[$cnf( $equal(and(t4,not(t1)),ll0) )],[refute_0_1550,refute_0_1551]) ).
cnf(refute_0_1553,plain,
not(and(not(t1),t4)) = not(ll0),
inference(resolve,[$cnf( $equal(not(and(not(t1),t4)),not(and(t4,not(t1)))) )],[refute_0_1540,refute_0_1552]) ).
cnf(refute_0_1554,plain,
not(and(not(t1),t4)) = or(t1,not(t4)),
inference(subst,[],[refute_0_787:[bind(X,$fot(t1)),bind(X_32,$fot(t4))]]) ).
cnf(refute_0_1555,plain,
( not(and(not(t1),t4)) != not(ll0)
| not(and(not(t1),t4)) != or(t1,not(t4))
| or(t1,not(t4)) = not(ll0) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t1),t4)),not(ll0)) ),[0],$fot(or(t1,not(t4)))]]) ).
cnf(refute_0_1556,plain,
( not(and(not(t1),t4)) != not(ll0)
| or(t1,not(t4)) = not(ll0) ),
inference(resolve,[$cnf( $equal(not(and(not(t1),t4)),or(t1,not(t4))) )],[refute_0_1554,refute_0_1555]) ).
cnf(refute_0_1557,plain,
( not(ll0) != ll1
| or(t1,not(t4)) != not(ll0)
| or(t1,not(t4)) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,not(t4)),not(ll0)) ),[1],$fot(ll1)]]) ).
cnf(refute_0_1558,plain,
( or(t1,not(t4)) != not(ll0)
| or(t1,not(t4)) = ll1 ),
inference(resolve,[$cnf( $equal(not(ll0),ll1) )],[ll0_inverse,refute_0_1557]) ).
cnf(refute_0_1559,plain,
( not(and(not(t1),t4)) != not(ll0)
| or(t1,not(t4)) = ll1 ),
inference(resolve,[$cnf( $equal(or(t1,not(t4)),not(ll0)) )],[refute_0_1556,refute_0_1558]) ).
cnf(refute_0_1560,plain,
or(t1,not(t4)) = ll1,
inference(resolve,[$cnf( $equal(not(and(not(t1),t4)),not(ll0)) )],[refute_0_1553,refute_0_1559]) ).
cnf(refute_0_1561,plain,
and(or(carry,t4),or(t1,not(t4))) = and(or(carry,t4),or(t1,not(t4))),
introduced(tautology,[refl,[$fot(and(or(carry,t4),or(t1,not(t4))))]]) ).
cnf(refute_0_1562,plain,
( and(or(carry,t4),or(t1,not(t4))) != and(or(carry,t4),or(t1,not(t4)))
| or(t1,not(t4)) != ll1
| and(or(carry,t4),or(t1,not(t4))) = and(or(carry,t4),ll1) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(carry,t4),or(t1,not(t4))),and(or(carry,t4),or(t1,not(t4)))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_1563,plain,
( or(t1,not(t4)) != ll1
| and(or(carry,t4),or(t1,not(t4))) = and(or(carry,t4),ll1) ),
inference(resolve,[$cnf( $equal(and(or(carry,t4),or(t1,not(t4))),and(or(carry,t4),or(t1,not(t4)))) )],[refute_0_1561,refute_0_1562]) ).
cnf(refute_0_1564,plain,
and(or(carry,t4),or(t1,not(t4))) = and(or(carry,t4),ll1),
inference(resolve,[$cnf( $equal(or(t1,not(t4)),ll1) )],[refute_0_1560,refute_0_1563]) ).
cnf(refute_0_1565,plain,
( and(or(carry,t4),ll1) != or(carry,t4)
| and(or(carry,t4),or(t1,not(t4))) != and(or(carry,t4),ll1)
| and(or(carry,t4),or(t1,not(t4))) = or(carry,t4) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(or(carry,t4),or(t1,not(t4))))),bind(Y0,$fot(and(or(carry,t4),ll1))),bind(Z0,$fot(or(carry,t4)))]]) ).
cnf(refute_0_1566,plain,
( and(or(carry,t4),ll1) != or(carry,t4)
| and(or(carry,t4),or(t1,not(t4))) = or(carry,t4) ),
inference(resolve,[$cnf( $equal(and(or(carry,t4),or(t1,not(t4))),and(or(carry,t4),ll1)) )],[refute_0_1564,refute_0_1565]) ).
cnf(refute_0_1567,plain,
and(or(carry,t4),or(t1,not(t4))) = or(carry,t4),
inference(resolve,[$cnf( $equal(and(or(carry,t4),ll1),or(carry,t4)) )],[refute_0_1539,refute_0_1566]) ).
cnf(refute_0_1568,plain,
( and(or(carry,t4),or(t1,not(t4))) != or(carry,t4)
| not(xor(t1,t4)) != and(or(carry,t4),or(t1,not(t4)))
| not(xor(t1,t4)) = or(carry,t4) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t1,t4)),and(or(carry,t4),or(t1,not(t4)))) ),[1],$fot(or(carry,t4))]]) ).
cnf(refute_0_1569,plain,
( not(xor(t1,t4)) != and(or(carry,t4),or(t1,not(t4)))
| not(xor(t1,t4)) = or(carry,t4) ),
inference(resolve,[$cnf( $equal(and(or(carry,t4),or(t1,not(t4))),or(carry,t4)) )],[refute_0_1567,refute_0_1568]) ).
cnf(refute_0_1570,plain,
not(xor(t1,t4)) = or(carry,t4),
inference(resolve,[$cnf( $equal(not(xor(t1,t4)),and(or(carry,t4),or(t1,not(t4)))) )],[refute_0_1538,refute_0_1569]) ).
cnf(refute_0_1571,plain,
( not(xor(t1,t4)) != or(carry,t4)
| or(and(xor(t1,t4),not(Y)),and(not(xor(t1,t4)),Y)) != xor(xor(t1,t4),Y)
| or(and(xor(t1,t4),not(Y)),and(or(carry,t4),Y)) = xor(xor(t1,t4),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(t1,t4),not(Y)),and(not(xor(t1,t4)),Y)),xor(xor(t1,t4),Y)) ),[0,1,0],$fot(or(carry,t4))]]) ).
cnf(refute_0_1572,plain,
( or(and(xor(t1,t4),not(Y)),and(not(xor(t1,t4)),Y)) != xor(xor(t1,t4),Y)
| or(and(xor(t1,t4),not(Y)),and(or(carry,t4),Y)) = xor(xor(t1,t4),Y) ),
inference(resolve,[$cnf( $equal(not(xor(t1,t4)),or(carry,t4)) )],[refute_0_1570,refute_0_1571]) ).
cnf(refute_0_1573,plain,
or(and(xor(t1,t4),not(Y)),and(or(carry,t4),Y)) = xor(xor(t1,t4),Y),
inference(resolve,[$cnf( $equal(or(and(xor(t1,t4),not(Y)),and(not(xor(t1,t4)),Y)),xor(xor(t1,t4),Y)) )],[refute_0_1516,refute_0_1572]) ).
cnf(refute_0_1574,plain,
or(and(xor(t1,t4),not(Y)),and(or(carry,t4),Y)) = or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y))),
inference(subst,[],[refute_0_5:[bind(X,$fot(and(or(carry,t4),Y))),bind(Y,$fot(and(xor(t1,t4),not(Y))))]]) ).
cnf(refute_0_1575,plain,
( or(and(xor(t1,t4),not(Y)),and(or(carry,t4),Y)) != or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y)))
| or(and(xor(t1,t4),not(Y)),and(or(carry,t4),Y)) != xor(xor(t1,t4),Y)
| or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y))) = xor(xor(t1,t4),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(t1,t4),not(Y)),and(or(carry,t4),Y)),xor(xor(t1,t4),Y)) ),[0],$fot(or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y))))]]) ).
cnf(refute_0_1576,plain,
( or(and(xor(t1,t4),not(Y)),and(or(carry,t4),Y)) != xor(xor(t1,t4),Y)
| or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y))) = xor(xor(t1,t4),Y) ),
inference(resolve,[$cnf( $equal(or(and(xor(t1,t4),not(Y)),and(or(carry,t4),Y)),or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y)))) )],[refute_0_1574,refute_0_1575]) ).
cnf(refute_0_1577,plain,
xor(xor(t1,t4),Y) = xor(t1,xor(t4,Y)),
inference(subst,[],[refute_0_526:[bind(X,$fot(t1)),bind(Y,$fot(t4)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_1578,plain,
( or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y))) != xor(xor(t1,t4),Y)
| xor(xor(t1,t4),Y) != xor(t1,xor(t4,Y))
| or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y))) = xor(t1,xor(t4,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y))),xor(t1,xor(t4,Y))) ),[0],$fot(xor(xor(t1,t4),Y))]]) ).
cnf(refute_0_1579,plain,
( or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y))) != xor(xor(t1,t4),Y)
| or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y))) = xor(t1,xor(t4,Y)) ),
inference(resolve,[$cnf( $equal(xor(xor(t1,t4),Y),xor(t1,xor(t4,Y))) )],[refute_0_1577,refute_0_1578]) ).
cnf(refute_0_1580,plain,
( or(and(xor(t1,t4),not(Y)),and(or(carry,t4),Y)) != xor(xor(t1,t4),Y)
| or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y))) = xor(t1,xor(t4,Y)) ),
inference(resolve,[$cnf( $equal(or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y))),xor(xor(t1,t4),Y)) )],[refute_0_1576,refute_0_1579]) ).
cnf(refute_0_1581,plain,
or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y))) = xor(t1,xor(t4,Y)),
inference(resolve,[$cnf( $equal(or(and(xor(t1,t4),not(Y)),and(or(carry,t4),Y)),xor(xor(t1,t4),Y)) )],[refute_0_1573,refute_0_1580]) ).
cnf(refute_0_1582,plain,
not(or(not(xor(t1,t4)),X_26)) = and(xor(t1,t4),not(X_26)),
inference(subst,[],[refute_0_159:[bind(X,$fot(xor(t1,t4)))]]) ).
cnf(refute_0_1583,plain,
( not(or(not(xor(t1,t4)),X_26)) != and(xor(t1,t4),not(X_26))
| not(xor(t1,t4)) != or(carry,t4)
| not(or(or(carry,t4),X_26)) = and(xor(t1,t4),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(xor(t1,t4)),X_26)),and(xor(t1,t4),not(X_26))) ),[0,0,0],$fot(or(carry,t4))]]) ).
cnf(refute_0_1584,plain,
( not(or(not(xor(t1,t4)),X_26)) != and(xor(t1,t4),not(X_26))
| not(or(or(carry,t4),X_26)) = and(xor(t1,t4),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(xor(t1,t4)),or(carry,t4)) )],[refute_0_1570,refute_0_1583]) ).
cnf(refute_0_1585,plain,
not(or(or(carry,t4),X_26)) = and(xor(t1,t4),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(not(xor(t1,t4)),X_26)),and(xor(t1,t4),not(X_26))) )],[refute_0_1582,refute_0_1584]) ).
cnf(refute_0_1586,plain,
or(or(carry,t4),X_26) = or(carry,or(t4,X_26)),
inference(subst,[],[or_associative:[bind(X,$fot(carry)),bind(Y,$fot(t4)),bind(Z,$fot(X_26))]]) ).
cnf(refute_0_1587,plain,
not(or(or(carry,t4),X_26)) = not(or(or(carry,t4),X_26)),
introduced(tautology,[refl,[$fot(not(or(or(carry,t4),X_26)))]]) ).
cnf(refute_0_1588,plain,
( not(or(or(carry,t4),X_26)) != not(or(or(carry,t4),X_26))
| or(or(carry,t4),X_26) != or(carry,or(t4,X_26))
| not(or(or(carry,t4),X_26)) = not(or(carry,or(t4,X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(or(carry,t4),X_26)),not(or(or(carry,t4),X_26))) ),[1,0],$fot(or(carry,or(t4,X_26)))]]) ).
cnf(refute_0_1589,plain,
( or(or(carry,t4),X_26) != or(carry,or(t4,X_26))
| not(or(or(carry,t4),X_26)) = not(or(carry,or(t4,X_26))) ),
inference(resolve,[$cnf( $equal(not(or(or(carry,t4),X_26)),not(or(or(carry,t4),X_26))) )],[refute_0_1587,refute_0_1588]) ).
cnf(refute_0_1590,plain,
not(or(or(carry,t4),X_26)) = not(or(carry,or(t4,X_26))),
inference(resolve,[$cnf( $equal(or(or(carry,t4),X_26),or(carry,or(t4,X_26))) )],[refute_0_1586,refute_0_1589]) ).
cnf(refute_0_1591,plain,
( not(or(or(carry,t4),X_26)) != and(xor(t1,t4),not(X_26))
| not(or(or(carry,t4),X_26)) != not(or(carry,or(t4,X_26)))
| not(or(carry,or(t4,X_26))) = and(xor(t1,t4),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(or(carry,t4),X_26)),and(xor(t1,t4),not(X_26))) ),[0],$fot(not(or(carry,or(t4,X_26))))]]) ).
cnf(refute_0_1592,plain,
( not(or(or(carry,t4),X_26)) != and(xor(t1,t4),not(X_26))
| not(or(carry,or(t4,X_26))) = and(xor(t1,t4),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(or(or(carry,t4),X_26)),not(or(carry,or(t4,X_26)))) )],[refute_0_1590,refute_0_1591]) ).
cnf(refute_0_1593,plain,
not(or(carry,or(t4,X_26))) = and(xor(t1,t4),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(or(carry,t4),X_26)),and(xor(t1,t4),not(X_26))) )],[refute_0_1585,refute_0_1592]) ).
cnf(refute_0_1594,plain,
( not(or(carry,or(t4,X_26))) != and(xor(t1,t4),not(X_26))
| and(xor(t1,t4),not(X_26)) = not(or(carry,or(t4,X_26))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(carry,or(t4,X_26))))),bind(Y0,$fot(and(xor(t1,t4),not(X_26))))]]) ).
cnf(refute_0_1595,plain,
and(xor(t1,t4),not(X_26)) = not(or(carry,or(t4,X_26))),
inference(resolve,[$cnf( $equal(not(or(carry,or(t4,X_26))),and(xor(t1,t4),not(X_26))) )],[refute_0_1593,refute_0_1594]) ).
cnf(refute_0_1596,plain,
and(xor(t1,t4),not(Y)) = not(or(carry,or(t4,Y))),
inference(subst,[],[refute_0_1595:[bind(X_26,$fot(Y))]]) ).
cnf(refute_0_1597,plain,
or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y))) = or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y))),
introduced(tautology,[refl,[$fot(or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y))))]]) ).
cnf(refute_0_1598,plain,
( and(xor(t1,t4),not(Y)) != not(or(carry,or(t4,Y)))
| or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y))) != or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y)))
| or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y))) = or(and(or(carry,t4),Y),not(or(carry,or(t4,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y))),or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y)))) ),[1,1],$fot(not(or(carry,or(t4,Y))))]]) ).
cnf(refute_0_1599,plain,
( and(xor(t1,t4),not(Y)) != not(or(carry,or(t4,Y)))
| or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y))) = or(and(or(carry,t4),Y),not(or(carry,or(t4,Y)))) ),
inference(resolve,[$cnf( $equal(or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y))),or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y)))) )],[refute_0_1597,refute_0_1598]) ).
cnf(refute_0_1600,plain,
or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y))) = or(and(or(carry,t4),Y),not(or(carry,or(t4,Y)))),
inference(resolve,[$cnf( $equal(and(xor(t1,t4),not(Y)),not(or(carry,or(t4,Y)))) )],[refute_0_1596,refute_0_1599]) ).
cnf(refute_0_1601,plain,
( or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y))) != or(and(or(carry,t4),Y),not(or(carry,or(t4,Y))))
| or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y))) != xor(t1,xor(t4,Y))
| or(and(or(carry,t4),Y),not(or(carry,or(t4,Y)))) = xor(t1,xor(t4,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y))),xor(t1,xor(t4,Y))) ),[0],$fot(or(and(or(carry,t4),Y),not(or(carry,or(t4,Y)))))]]) ).
cnf(refute_0_1602,plain,
( or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y))) != xor(t1,xor(t4,Y))
| or(and(or(carry,t4),Y),not(or(carry,or(t4,Y)))) = xor(t1,xor(t4,Y)) ),
inference(resolve,[$cnf( $equal(or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y))),or(and(or(carry,t4),Y),not(or(carry,or(t4,Y))))) )],[refute_0_1600,refute_0_1601]) ).
cnf(refute_0_1603,plain,
or(and(or(carry,t4),Y),not(or(carry,or(t4,Y)))) = xor(t1,xor(t4,Y)),
inference(resolve,[$cnf( $equal(or(and(or(carry,t4),Y),and(xor(t1,t4),not(Y))),xor(t1,xor(t4,Y))) )],[refute_0_1581,refute_0_1602]) ).
cnf(refute_0_1604,plain,
xor(t1,xor(t4,Z)) = xor(xor(t1,t4),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(t1)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_1605,plain,
( xor(t1,t4) != xor(carry,t6)
| xor(t1,xor(t4,Z)) != xor(xor(t1,t4),Z)
| xor(t1,xor(t4,Z)) = xor(xor(carry,t6),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,xor(t4,Z)),xor(xor(t1,t4),Z)) ),[1,0],$fot(xor(carry,t6))]]) ).
cnf(refute_0_1606,plain,
( xor(t1,xor(t4,Z)) != xor(xor(t1,t4),Z)
| xor(t1,xor(t4,Z)) = xor(xor(carry,t6),Z) ),
inference(resolve,[$cnf( $equal(xor(t1,t4),xor(carry,t6)) )],[refute_0_1496,refute_0_1605]) ).
cnf(refute_0_1607,plain,
xor(t1,xor(t4,Z)) = xor(xor(carry,t6),Z),
inference(resolve,[$cnf( $equal(xor(t1,xor(t4,Z)),xor(xor(t1,t4),Z)) )],[refute_0_1604,refute_0_1606]) ).
cnf(refute_0_1608,plain,
( xor(t1,xor(t4,Z)) != xor(xor(carry,t6),Z)
| xor(xor(carry,t6),Z) != xor(carry,xor(t6,Z))
| xor(t1,xor(t4,Z)) = xor(carry,xor(t6,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(t1,xor(t4,Z)),xor(carry,xor(t6,Z))) ),[0],$fot(xor(xor(carry,t6),Z))]]) ).
cnf(refute_0_1609,plain,
( xor(t1,xor(t4,Z)) != xor(xor(carry,t6),Z)
| xor(t1,xor(t4,Z)) = xor(carry,xor(t6,Z)) ),
inference(resolve,[$cnf( $equal(xor(xor(carry,t6),Z),xor(carry,xor(t6,Z))) )],[refute_0_1503,refute_0_1608]) ).
cnf(refute_0_1610,plain,
xor(t1,xor(t4,Z)) = xor(carry,xor(t6,Z)),
inference(resolve,[$cnf( $equal(xor(t1,xor(t4,Z)),xor(xor(carry,t6),Z)) )],[refute_0_1607,refute_0_1609]) ).
cnf(refute_0_1611,plain,
xor(t1,xor(t4,Y)) = xor(carry,xor(t6,Y)),
inference(subst,[],[refute_0_1610:[bind(Z,$fot(Y))]]) ).
cnf(refute_0_1612,plain,
( or(and(or(carry,t4),Y),not(or(carry,or(t4,Y)))) != xor(t1,xor(t4,Y))
| xor(t1,xor(t4,Y)) != xor(carry,xor(t6,Y))
| or(and(or(carry,t4),Y),not(or(carry,or(t4,Y)))) = xor(carry,xor(t6,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(and(or(carry,t4),Y),not(or(carry,or(t4,Y)))),xor(carry,xor(t6,Y))) ),[0],$fot(xor(t1,xor(t4,Y)))]]) ).
cnf(refute_0_1613,plain,
( or(and(or(carry,t4),Y),not(or(carry,or(t4,Y)))) != xor(t1,xor(t4,Y))
| or(and(or(carry,t4),Y),not(or(carry,or(t4,Y)))) = xor(carry,xor(t6,Y)) ),
inference(resolve,[$cnf( $equal(xor(t1,xor(t4,Y)),xor(carry,xor(t6,Y))) )],[refute_0_1611,refute_0_1612]) ).
cnf(refute_0_1614,plain,
or(and(or(carry,t4),Y),not(or(carry,or(t4,Y)))) = xor(carry,xor(t6,Y)),
inference(resolve,[$cnf( $equal(or(and(or(carry,t4),Y),not(or(carry,or(t4,Y)))),xor(t1,xor(t4,Y))) )],[refute_0_1603,refute_0_1613]) ).
cnf(refute_0_1615,plain,
xor(t3,xor(not(t2),X_335)) = xor(xor(t3,not(t2)),X_335),
inference(subst,[],[xor_associative:[bind(X,$fot(t3)),bind(Y,$fot(not(t2))),bind(Z,$fot(X_335))]]) ).
cnf(refute_0_1616,plain,
or(and(t3,not(and(a,X_42))),and(not(t3),and(a,X_42))) = xor(t3,and(a,X_42)),
inference(subst,[],[refute_0_9:[bind(X,$fot(t3)),bind(Y,$fot(and(a,X_42)))]]) ).
cnf(refute_0_1617,plain,
not(or(t3,not(and(a,X_42)))) = and(not(t3),not(not(and(a,X_42)))),
inference(subst,[],[or_demorgan:[bind(X,$fot(t3)),bind(Y,$fot(not(and(a,X_42))))]]) ).
cnf(refute_0_1618,plain,
or(or(t3,not(a)),X_39) = or(t3,or(not(a),X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(t3)),bind(Y,$fot(not(a))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_1619,plain,
not(and(a,not(t3))) = or(not(a),not(not(t3))),
inference(subst,[],[and_demorgan:[bind(X,$fot(a)),bind(Y,$fot(not(t3)))]]) ).
cnf(refute_0_1620,plain,
and(and(a,b),not(and(a,b))) = ll0,
inference(subst,[],[and_complement:[bind(X,$fot(and(a,b)))]]) ).
cnf(refute_0_1621,plain,
( and(and(a,b),not(and(a,b))) != ll0
| not(and(a,b)) != t1
| and(and(a,b),t1) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(a,b),not(and(a,b))),ll0) ),[0,1],$fot(t1)]]) ).
cnf(refute_0_1622,plain,
( and(and(a,b),not(and(a,b))) != ll0
| and(and(a,b),t1) = ll0 ),
inference(resolve,[$cnf( $equal(not(and(a,b)),t1) )],[t1,refute_0_1621]) ).
cnf(refute_0_1623,plain,
and(and(a,b),t1) = ll0,
inference(resolve,[$cnf( $equal(and(and(a,b),not(and(a,b))),ll0) )],[refute_0_1620,refute_0_1622]) ).
cnf(refute_0_1624,plain,
and(and(a,b),t1) = and(a,and(b,t1)),
inference(subst,[],[and_associative:[bind(X,$fot(a)),bind(Y,$fot(b)),bind(Z,$fot(t1))]]) ).
cnf(refute_0_1625,plain,
( and(and(a,b),t1) != and(a,and(b,t1))
| and(and(a,b),t1) != ll0
| and(a,and(b,t1)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(a,b),t1),ll0) ),[0],$fot(and(a,and(b,t1)))]]) ).
cnf(refute_0_1626,plain,
( and(and(a,b),t1) != ll0
| and(a,and(b,t1)) = ll0 ),
inference(resolve,[$cnf( $equal(and(and(a,b),t1),and(a,and(b,t1))) )],[refute_0_1624,refute_0_1625]) ).
cnf(refute_0_1627,plain,
and(a,and(b,t1)) = ll0,
inference(resolve,[$cnf( $equal(and(and(a,b),t1),ll0) )],[refute_0_1623,refute_0_1626]) ).
cnf(refute_0_1628,plain,
and(a,and(b,t1)) = and(a,and(b,t1)),
introduced(tautology,[refl,[$fot(and(a,and(b,t1)))]]) ).
cnf(refute_0_1629,plain,
( and(a,and(b,t1)) != and(a,and(b,t1))
| and(b,t1) != not(t3)
| and(a,and(b,t1)) = and(a,not(t3)) ),
introduced(tautology,[equality,[$cnf( $equal(and(a,and(b,t1)),and(a,and(b,t1))) ),[1,1],$fot(not(t3))]]) ).
cnf(refute_0_1630,plain,
( and(b,t1) != not(t3)
| and(a,and(b,t1)) = and(a,not(t3)) ),
inference(resolve,[$cnf( $equal(and(a,and(b,t1)),and(a,and(b,t1))) )],[refute_0_1628,refute_0_1629]) ).
cnf(refute_0_1631,plain,
and(a,and(b,t1)) = and(a,not(t3)),
inference(resolve,[$cnf( $equal(and(b,t1),not(t3)) )],[refute_0_1270,refute_0_1630]) ).
cnf(refute_0_1632,plain,
( and(a,and(b,t1)) != and(a,not(t3))
| and(a,and(b,t1)) != ll0
| and(a,not(t3)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(a,and(b,t1)),ll0) ),[0],$fot(and(a,not(t3)))]]) ).
cnf(refute_0_1633,plain,
( and(a,and(b,t1)) != ll0
| and(a,not(t3)) = ll0 ),
inference(resolve,[$cnf( $equal(and(a,and(b,t1)),and(a,not(t3))) )],[refute_0_1631,refute_0_1632]) ).
cnf(refute_0_1634,plain,
and(a,not(t3)) = ll0,
inference(resolve,[$cnf( $equal(and(a,and(b,t1)),ll0) )],[refute_0_1627,refute_0_1633]) ).
cnf(refute_0_1635,plain,
( and(a,not(t3)) != ll0
| not(and(a,not(t3))) != or(not(a),not(not(t3)))
| not(ll0) = or(not(a),not(not(t3))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(a,not(t3))),or(not(a),not(not(t3)))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_1636,plain,
( not(and(a,not(t3))) != or(not(a),not(not(t3)))
| not(ll0) = or(not(a),not(not(t3))) ),
inference(resolve,[$cnf( $equal(and(a,not(t3)),ll0) )],[refute_0_1634,refute_0_1635]) ).
cnf(refute_0_1637,plain,
not(ll0) = or(not(a),not(not(t3))),
inference(resolve,[$cnf( $equal(not(and(a,not(t3))),or(not(a),not(not(t3)))) )],[refute_0_1619,refute_0_1636]) ).
cnf(refute_0_1638,plain,
( not(ll0) != ll1
| not(ll0) != or(not(a),not(not(t3)))
| ll1 = or(not(a),not(not(t3))) ),
introduced(tautology,[equality,[$cnf( $equal(not(ll0),or(not(a),not(not(t3)))) ),[0],$fot(ll1)]]) ).
cnf(refute_0_1639,plain,
( not(ll0) != or(not(a),not(not(t3)))
| ll1 = or(not(a),not(not(t3))) ),
inference(resolve,[$cnf( $equal(not(ll0),ll1) )],[ll0_inverse,refute_0_1638]) ).
cnf(refute_0_1640,plain,
or(not(a),t3) = or(t3,not(a)),
inference(subst,[],[refute_0_5:[bind(X,$fot(t3)),bind(Y,$fot(not(a)))]]) ).
cnf(refute_0_1641,plain,
not(and(a,not(t3))) = or(not(a),t3),
inference(subst,[],[refute_0_435:[bind(X_29,$fot(a)),bind(X_30,$fot(t3))]]) ).
cnf(refute_0_1642,plain,
( not(and(a,not(t3))) != or(not(a),t3)
| or(not(a),t3) != or(t3,not(a))
| not(and(a,not(t3))) = or(t3,not(a)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(a,not(t3))))),bind(Y0,$fot(or(not(a),t3))),bind(Z0,$fot(or(t3,not(a))))]]) ).
cnf(refute_0_1643,plain,
( or(not(a),t3) != or(t3,not(a))
| not(and(a,not(t3))) = or(t3,not(a)) ),
inference(resolve,[$cnf( $equal(not(and(a,not(t3))),or(not(a),t3)) )],[refute_0_1641,refute_0_1642]) ).
cnf(refute_0_1644,plain,
not(and(a,not(t3))) = or(t3,not(a)),
inference(resolve,[$cnf( $equal(or(not(a),t3),or(t3,not(a))) )],[refute_0_1640,refute_0_1643]) ).
cnf(refute_0_1645,plain,
or(not(a),not(not(t3))) = not(and(a,not(t3))),
inference(subst,[],[refute_0_147:[bind(X,$fot(a)),bind(Y,$fot(not(t3)))]]) ).
cnf(refute_0_1646,plain,
( not(and(a,not(t3))) != or(t3,not(a))
| or(not(a),not(not(t3))) != not(and(a,not(t3)))
| or(not(a),not(not(t3))) = or(t3,not(a)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(a),not(not(t3))))),bind(Y0,$fot(not(and(a,not(t3))))),bind(Z0,$fot(or(t3,not(a))))]]) ).
cnf(refute_0_1647,plain,
( not(and(a,not(t3))) != or(t3,not(a))
| or(not(a),not(not(t3))) = or(t3,not(a)) ),
inference(resolve,[$cnf( $equal(or(not(a),not(not(t3))),not(and(a,not(t3)))) )],[refute_0_1645,refute_0_1646]) ).
cnf(refute_0_1648,plain,
or(not(a),not(not(t3))) = or(t3,not(a)),
inference(resolve,[$cnf( $equal(not(and(a,not(t3))),or(t3,not(a))) )],[refute_0_1644,refute_0_1647]) ).
cnf(refute_0_1649,plain,
( ll1 != or(not(a),not(not(t3)))
| or(not(a),not(not(t3))) != or(t3,not(a))
| ll1 = or(t3,not(a)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll1,or(t3,not(a))) ),[0],$fot(or(not(a),not(not(t3))))]]) ).
cnf(refute_0_1650,plain,
( ll1 != or(not(a),not(not(t3)))
| ll1 = or(t3,not(a)) ),
inference(resolve,[$cnf( $equal(or(not(a),not(not(t3))),or(t3,not(a))) )],[refute_0_1648,refute_0_1649]) ).
cnf(refute_0_1651,plain,
( not(ll0) != or(not(a),not(not(t3)))
| ll1 = or(t3,not(a)) ),
inference(resolve,[$cnf( $equal(ll1,or(not(a),not(not(t3)))) )],[refute_0_1639,refute_0_1650]) ).
cnf(refute_0_1652,plain,
ll1 = or(t3,not(a)),
inference(resolve,[$cnf( $equal(not(ll0),or(not(a),not(not(t3)))) )],[refute_0_1637,refute_0_1651]) ).
cnf(refute_0_1653,plain,
( ll1 != or(t3,not(a))
| or(t3,not(a)) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(t3,not(a))))]]) ).
cnf(refute_0_1654,plain,
or(t3,not(a)) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(t3,not(a))) )],[refute_0_1652,refute_0_1653]) ).
cnf(refute_0_1655,plain,
( or(or(t3,not(a)),X_39) != or(t3,or(not(a),X_39))
| or(t3,not(a)) != ll1
| or(ll1,X_39) = or(t3,or(not(a),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t3,not(a)),X_39),or(t3,or(not(a),X_39))) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_1656,plain,
( or(or(t3,not(a)),X_39) != or(t3,or(not(a),X_39))
| or(ll1,X_39) = or(t3,or(not(a),X_39)) ),
inference(resolve,[$cnf( $equal(or(t3,not(a)),ll1) )],[refute_0_1654,refute_0_1655]) ).
cnf(refute_0_1657,plain,
or(ll1,X_39) = or(t3,or(not(a),X_39)),
inference(resolve,[$cnf( $equal(or(or(t3,not(a)),X_39),or(t3,or(not(a),X_39))) )],[refute_0_1618,refute_0_1656]) ).
cnf(refute_0_1658,plain,
( or(ll1,X_39) != ll1
| or(ll1,X_39) != or(t3,or(not(a),X_39))
| ll1 = or(t3,or(not(a),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll1,X_39),or(t3,or(not(a),X_39))) ),[0],$fot(ll1)]]) ).
cnf(refute_0_1659,plain,
( or(ll1,X_39) != or(t3,or(not(a),X_39))
| ll1 = or(t3,or(not(a),X_39)) ),
inference(resolve,[$cnf( $equal(or(ll1,X_39),ll1) )],[refute_0_629,refute_0_1658]) ).
cnf(refute_0_1660,plain,
ll1 = or(t3,or(not(a),X_39)),
inference(resolve,[$cnf( $equal(or(ll1,X_39),or(t3,or(not(a),X_39))) )],[refute_0_1657,refute_0_1659]) ).
cnf(refute_0_1661,plain,
ll1 = or(t3,or(not(a),not(Y))),
inference(subst,[],[refute_0_1660:[bind(X_39,$fot(not(Y)))]]) ).
cnf(refute_0_1662,plain,
not(and(a,Y)) = or(not(a),not(Y)),
inference(subst,[],[and_demorgan:[bind(X,$fot(a))]]) ).
cnf(refute_0_1663,plain,
( not(and(a,Y)) != or(not(a),not(Y))
| or(not(a),not(Y)) = not(and(a,Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(a,Y)))),bind(Y0,$fot(or(not(a),not(Y))))]]) ).
cnf(refute_0_1664,plain,
or(not(a),not(Y)) = not(and(a,Y)),
inference(resolve,[$cnf( $equal(not(and(a,Y)),or(not(a),not(Y))) )],[refute_0_1662,refute_0_1663]) ).
cnf(refute_0_1665,plain,
( ll1 != or(t3,or(not(a),not(Y)))
| or(not(a),not(Y)) != not(and(a,Y))
| ll1 = or(t3,not(and(a,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t3,or(not(a),not(Y)))) ),[1,1],$fot(not(and(a,Y)))]]) ).
cnf(refute_0_1666,plain,
( ll1 != or(t3,or(not(a),not(Y)))
| ll1 = or(t3,not(and(a,Y))) ),
inference(resolve,[$cnf( $equal(or(not(a),not(Y)),not(and(a,Y))) )],[refute_0_1664,refute_0_1665]) ).
cnf(refute_0_1667,plain,
ll1 = or(t3,not(and(a,Y))),
inference(resolve,[$cnf( $equal(ll1,or(t3,or(not(a),not(Y)))) )],[refute_0_1661,refute_0_1666]) ).
cnf(refute_0_1668,plain,
ll1 = or(t3,not(and(a,X_42))),
inference(subst,[],[refute_0_1667:[bind(Y,$fot(X_42))]]) ).
cnf(refute_0_1669,plain,
( ll1 != or(t3,not(and(a,X_42)))
| or(t3,not(and(a,X_42))) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(t3,not(and(a,X_42)))))]]) ).
cnf(refute_0_1670,plain,
or(t3,not(and(a,X_42))) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(t3,not(and(a,X_42)))) )],[refute_0_1668,refute_0_1669]) ).
cnf(refute_0_1671,plain,
( not(or(t3,not(and(a,X_42)))) != and(not(t3),not(not(and(a,X_42))))
| or(t3,not(and(a,X_42))) != ll1
| not(ll1) = and(not(t3),not(not(and(a,X_42)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t3,not(and(a,X_42)))),and(not(t3),not(not(and(a,X_42))))) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_1672,plain,
( not(or(t3,not(and(a,X_42)))) != and(not(t3),not(not(and(a,X_42))))
| not(ll1) = and(not(t3),not(not(and(a,X_42)))) ),
inference(resolve,[$cnf( $equal(or(t3,not(and(a,X_42))),ll1) )],[refute_0_1670,refute_0_1671]) ).
cnf(refute_0_1673,plain,
not(ll1) = and(not(t3),not(not(and(a,X_42)))),
inference(resolve,[$cnf( $equal(not(or(t3,not(and(a,X_42)))),and(not(t3),not(not(and(a,X_42))))) )],[refute_0_1617,refute_0_1672]) ).
cnf(refute_0_1674,plain,
( not(ll1) != and(not(t3),not(not(and(a,X_42))))
| not(ll1) != ll0
| ll0 = and(not(t3),not(not(and(a,X_42)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(ll1),and(not(t3),not(not(and(a,X_42))))) ),[0],$fot(ll0)]]) ).
cnf(refute_0_1675,plain,
( not(ll1) != and(not(t3),not(not(and(a,X_42))))
| ll0 = and(not(t3),not(not(and(a,X_42)))) ),
inference(resolve,[$cnf( $equal(not(ll1),ll0) )],[ll1_inverse,refute_0_1674]) ).
cnf(refute_0_1676,plain,
not(or(t3,not(and(a,X_42)))) = and(not(t3),and(a,X_42)),
inference(subst,[],[refute_0_801:[bind(X,$fot(and(a,X_42))),bind(X_25,$fot(t3))]]) ).
cnf(refute_0_1677,plain,
and(not(t3),not(not(and(a,X_42)))) = not(or(t3,not(and(a,X_42)))),
inference(subst,[],[refute_0_101:[bind(X,$fot(t3)),bind(Y,$fot(not(and(a,X_42))))]]) ).
cnf(refute_0_1678,plain,
( and(not(t3),not(not(and(a,X_42)))) != not(or(t3,not(and(a,X_42))))
| not(or(t3,not(and(a,X_42)))) != and(not(t3),and(a,X_42))
| and(not(t3),not(not(and(a,X_42)))) = and(not(t3),and(a,X_42)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t3),not(not(and(a,X_42)))))),bind(Y0,$fot(not(or(t3,not(and(a,X_42)))))),bind(Z0,$fot(and(not(t3),and(a,X_42))))]]) ).
cnf(refute_0_1679,plain,
( not(or(t3,not(and(a,X_42)))) != and(not(t3),and(a,X_42))
| and(not(t3),not(not(and(a,X_42)))) = and(not(t3),and(a,X_42)) ),
inference(resolve,[$cnf( $equal(and(not(t3),not(not(and(a,X_42)))),not(or(t3,not(and(a,X_42))))) )],[refute_0_1677,refute_0_1678]) ).
cnf(refute_0_1680,plain,
and(not(t3),not(not(and(a,X_42)))) = and(not(t3),and(a,X_42)),
inference(resolve,[$cnf( $equal(not(or(t3,not(and(a,X_42)))),and(not(t3),and(a,X_42))) )],[refute_0_1676,refute_0_1679]) ).
cnf(refute_0_1681,plain,
( and(not(t3),not(not(and(a,X_42)))) != and(not(t3),and(a,X_42))
| ll0 != and(not(t3),not(not(and(a,X_42))))
| ll0 = and(not(t3),and(a,X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(not(t3),not(not(and(a,X_42))))) ),[1],$fot(and(not(t3),and(a,X_42)))]]) ).
cnf(refute_0_1682,plain,
( ll0 != and(not(t3),not(not(and(a,X_42))))
| ll0 = and(not(t3),and(a,X_42)) ),
inference(resolve,[$cnf( $equal(and(not(t3),not(not(and(a,X_42)))),and(not(t3),and(a,X_42))) )],[refute_0_1680,refute_0_1681]) ).
cnf(refute_0_1683,plain,
( not(ll1) != and(not(t3),not(not(and(a,X_42))))
| ll0 = and(not(t3),and(a,X_42)) ),
inference(resolve,[$cnf( $equal(ll0,and(not(t3),not(not(and(a,X_42))))) )],[refute_0_1675,refute_0_1682]) ).
cnf(refute_0_1684,plain,
ll0 = and(not(t3),and(a,X_42)),
inference(resolve,[$cnf( $equal(not(ll1),and(not(t3),not(not(and(a,X_42))))) )],[refute_0_1673,refute_0_1683]) ).
cnf(refute_0_1685,plain,
( ll0 != and(not(t3),and(a,X_42))
| and(not(t3),and(a,X_42)) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(not(t3),and(a,X_42))))]]) ).
cnf(refute_0_1686,plain,
and(not(t3),and(a,X_42)) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(not(t3),and(a,X_42))) )],[refute_0_1684,refute_0_1685]) ).
cnf(refute_0_1687,plain,
( and(not(t3),and(a,X_42)) != ll0
| or(and(t3,not(and(a,X_42))),and(not(t3),and(a,X_42))) != xor(t3,and(a,X_42))
| or(and(t3,not(and(a,X_42))),ll0) = xor(t3,and(a,X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t3,not(and(a,X_42))),and(not(t3),and(a,X_42))),xor(t3,and(a,X_42))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_1688,plain,
( or(and(t3,not(and(a,X_42))),and(not(t3),and(a,X_42))) != xor(t3,and(a,X_42))
| or(and(t3,not(and(a,X_42))),ll0) = xor(t3,and(a,X_42)) ),
inference(resolve,[$cnf( $equal(and(not(t3),and(a,X_42)),ll0) )],[refute_0_1686,refute_0_1687]) ).
cnf(refute_0_1689,plain,
or(and(t3,not(and(a,X_42))),ll0) = xor(t3,and(a,X_42)),
inference(resolve,[$cnf( $equal(or(and(t3,not(and(a,X_42))),and(not(t3),and(a,X_42))),xor(t3,and(a,X_42))) )],[refute_0_1616,refute_0_1688]) ).
cnf(refute_0_1690,plain,
or(and(t3,not(and(a,X_42))),ll0) = and(t3,not(and(a,X_42))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t3,not(and(a,X_42)))))]]) ).
cnf(refute_0_1691,plain,
( or(and(t3,not(and(a,X_42))),ll0) != and(t3,not(and(a,X_42)))
| or(and(t3,not(and(a,X_42))),ll0) != xor(t3,and(a,X_42))
| and(t3,not(and(a,X_42))) = xor(t3,and(a,X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t3,not(and(a,X_42))),ll0),xor(t3,and(a,X_42))) ),[0],$fot(and(t3,not(and(a,X_42))))]]) ).
cnf(refute_0_1692,plain,
( or(and(t3,not(and(a,X_42))),ll0) != xor(t3,and(a,X_42))
| and(t3,not(and(a,X_42))) = xor(t3,and(a,X_42)) ),
inference(resolve,[$cnf( $equal(or(and(t3,not(and(a,X_42))),ll0),and(t3,not(and(a,X_42)))) )],[refute_0_1690,refute_0_1691]) ).
cnf(refute_0_1693,plain,
and(t3,not(and(a,X_42))) = xor(t3,and(a,X_42)),
inference(resolve,[$cnf( $equal(or(and(t3,not(and(a,X_42))),ll0),xor(t3,and(a,X_42))) )],[refute_0_1689,refute_0_1692]) ).
cnf(refute_0_1694,plain,
and(t3,not(and(a,not(t2)))) = xor(t3,and(a,not(t2))),
inference(subst,[],[refute_0_1693:[bind(X_42,$fot(not(t2)))]]) ).
cnf(refute_0_1695,plain,
and(not(t2),or(a,not(t2))) = not(t2),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(not(t2))),bind(X_20,$fot(a))]]) ).
cnf(refute_0_1696,plain,
( and(not(t2),or(a,not(t2))) != not(t2)
| or(a,not(t2)) != a
| and(not(t2),a) = not(t2) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),or(a,not(t2))),not(t2)) ),[0,1],$fot(a)]]) ).
cnf(refute_0_1697,plain,
( and(not(t2),or(a,not(t2))) != not(t2)
| and(not(t2),a) = not(t2) ),
inference(resolve,[$cnf( $equal(or(a,not(t2)),a) )],[refute_0_287,refute_0_1696]) ).
cnf(refute_0_1698,plain,
and(not(t2),a) = not(t2),
inference(resolve,[$cnf( $equal(and(not(t2),or(a,not(t2))),not(t2)) )],[refute_0_1695,refute_0_1697]) ).
cnf(refute_0_1699,plain,
and(not(t2),a) = and(a,not(t2)),
inference(subst,[],[refute_0_116:[bind(X,$fot(a)),bind(Y,$fot(not(t2)))]]) ).
cnf(refute_0_1700,plain,
( and(not(t2),a) != and(a,not(t2))
| and(not(t2),a) != not(t2)
| and(a,not(t2)) = not(t2) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),a),not(t2)) ),[0],$fot(and(a,not(t2)))]]) ).
cnf(refute_0_1701,plain,
( and(not(t2),a) != not(t2)
| and(a,not(t2)) = not(t2) ),
inference(resolve,[$cnf( $equal(and(not(t2),a),and(a,not(t2))) )],[refute_0_1699,refute_0_1700]) ).
cnf(refute_0_1702,plain,
and(a,not(t2)) = not(t2),
inference(resolve,[$cnf( $equal(and(not(t2),a),not(t2)) )],[refute_0_1698,refute_0_1701]) ).
cnf(refute_0_1703,plain,
( and(a,not(t2)) != not(t2)
| and(t3,not(and(a,not(t2)))) != xor(t3,and(a,not(t2)))
| and(t3,not(not(t2))) = xor(t3,and(a,not(t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,not(and(a,not(t2)))),xor(t3,and(a,not(t2)))) ),[0,1,0],$fot(not(t2))]]) ).
cnf(refute_0_1704,plain,
( and(t3,not(and(a,not(t2)))) != xor(t3,and(a,not(t2)))
| and(t3,not(not(t2))) = xor(t3,and(a,not(t2))) ),
inference(resolve,[$cnf( $equal(and(a,not(t2)),not(t2)) )],[refute_0_1702,refute_0_1703]) ).
cnf(refute_0_1705,plain,
and(t3,not(not(t2))) = xor(t3,and(a,not(t2))),
inference(resolve,[$cnf( $equal(and(t3,not(and(a,not(t2)))),xor(t3,and(a,not(t2)))) )],[refute_0_1694,refute_0_1704]) ).
cnf(refute_0_1706,plain,
and(t3,t2) = and(t2,t3),
inference(subst,[],[refute_0_116:[bind(X,$fot(t2)),bind(Y,$fot(t3))]]) ).
cnf(refute_0_1707,plain,
( and(t2,t3) != not(t4)
| and(t3,t2) != and(t2,t3)
| and(t3,t2) = not(t4) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t3,t2))),bind(Y0,$fot(and(t2,t3))),bind(Z0,$fot(not(t4)))]]) ).
cnf(refute_0_1708,plain,
( and(t2,t3) != not(t4)
| and(t3,t2) = not(t4) ),
inference(resolve,[$cnf( $equal(and(t3,t2),and(t2,t3)) )],[refute_0_1706,refute_0_1707]) ).
cnf(refute_0_1709,plain,
and(t3,t2) = not(t4),
inference(resolve,[$cnf( $equal(and(t2,t3),not(t4)) )],[refute_0_608,refute_0_1708]) ).
cnf(refute_0_1710,plain,
not(not(t2)) = t2,
inference(subst,[],[not_involution:[bind(X,$fot(t2))]]) ).
cnf(refute_0_1711,plain,
and(t3,not(not(t2))) = and(t3,not(not(t2))),
introduced(tautology,[refl,[$fot(and(t3,not(not(t2))))]]) ).
cnf(refute_0_1712,plain,
( and(t3,not(not(t2))) != and(t3,not(not(t2)))
| not(not(t2)) != t2
| and(t3,not(not(t2))) = and(t3,t2) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,not(not(t2))),and(t3,not(not(t2)))) ),[1,1],$fot(t2)]]) ).
cnf(refute_0_1713,plain,
( not(not(t2)) != t2
| and(t3,not(not(t2))) = and(t3,t2) ),
inference(resolve,[$cnf( $equal(and(t3,not(not(t2))),and(t3,not(not(t2)))) )],[refute_0_1711,refute_0_1712]) ).
cnf(refute_0_1714,plain,
and(t3,not(not(t2))) = and(t3,t2),
inference(resolve,[$cnf( $equal(not(not(t2)),t2) )],[refute_0_1710,refute_0_1713]) ).
cnf(refute_0_1715,plain,
( and(t3,not(not(t2))) != and(t3,t2)
| and(t3,t2) != not(t4)
| and(t3,not(not(t2))) = not(t4) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t3,not(not(t2))))),bind(Y0,$fot(and(t3,t2))),bind(Z0,$fot(not(t4)))]]) ).
cnf(refute_0_1716,plain,
( and(t3,t2) != not(t4)
| and(t3,not(not(t2))) = not(t4) ),
inference(resolve,[$cnf( $equal(and(t3,not(not(t2))),and(t3,t2)) )],[refute_0_1714,refute_0_1715]) ).
cnf(refute_0_1717,plain,
and(t3,not(not(t2))) = not(t4),
inference(resolve,[$cnf( $equal(and(t3,t2),not(t4)) )],[refute_0_1709,refute_0_1716]) ).
cnf(refute_0_1718,plain,
( and(t3,not(not(t2))) != not(t4)
| and(t3,not(not(t2))) != xor(t3,and(a,not(t2)))
| not(t4) = xor(t3,and(a,not(t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,not(not(t2))),xor(t3,and(a,not(t2)))) ),[0],$fot(not(t4))]]) ).
cnf(refute_0_1719,plain,
( and(t3,not(not(t2))) != xor(t3,and(a,not(t2)))
| not(t4) = xor(t3,and(a,not(t2))) ),
inference(resolve,[$cnf( $equal(and(t3,not(not(t2))),not(t4)) )],[refute_0_1717,refute_0_1718]) ).
cnf(refute_0_1720,plain,
xor(t3,and(a,not(t2))) = xor(t3,and(a,not(t2))),
introduced(tautology,[refl,[$fot(xor(t3,and(a,not(t2))))]]) ).
cnf(refute_0_1721,plain,
( and(a,not(t2)) != not(t2)
| xor(t3,and(a,not(t2))) != xor(t3,and(a,not(t2)))
| xor(t3,and(a,not(t2))) = xor(t3,not(t2)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,and(a,not(t2))),xor(t3,and(a,not(t2)))) ),[1,1],$fot(not(t2))]]) ).
cnf(refute_0_1722,plain,
( and(a,not(t2)) != not(t2)
| xor(t3,and(a,not(t2))) = xor(t3,not(t2)) ),
inference(resolve,[$cnf( $equal(xor(t3,and(a,not(t2))),xor(t3,and(a,not(t2)))) )],[refute_0_1720,refute_0_1721]) ).
cnf(refute_0_1723,plain,
xor(t3,and(a,not(t2))) = xor(t3,not(t2)),
inference(resolve,[$cnf( $equal(and(a,not(t2)),not(t2)) )],[refute_0_1702,refute_0_1722]) ).
cnf(refute_0_1724,plain,
( not(t4) != xor(t3,and(a,not(t2)))
| xor(t3,and(a,not(t2))) != xor(t3,not(t2))
| not(t4) = xor(t3,not(t2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(t4),xor(t3,not(t2))) ),[0],$fot(xor(t3,and(a,not(t2))))]]) ).
cnf(refute_0_1725,plain,
( not(t4) != xor(t3,and(a,not(t2)))
| not(t4) = xor(t3,not(t2)) ),
inference(resolve,[$cnf( $equal(xor(t3,and(a,not(t2))),xor(t3,not(t2))) )],[refute_0_1723,refute_0_1724]) ).
cnf(refute_0_1726,plain,
( and(t3,not(not(t2))) != xor(t3,and(a,not(t2)))
| not(t4) = xor(t3,not(t2)) ),
inference(resolve,[$cnf( $equal(not(t4),xor(t3,and(a,not(t2)))) )],[refute_0_1719,refute_0_1725]) ).
cnf(refute_0_1727,plain,
not(t4) = xor(t3,not(t2)),
inference(resolve,[$cnf( $equal(and(t3,not(not(t2))),xor(t3,and(a,not(t2)))) )],[refute_0_1705,refute_0_1726]) ).
cnf(refute_0_1728,plain,
( not(t4) != xor(t3,not(t2))
| xor(t3,not(t2)) = not(t4) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t4))),bind(Y0,$fot(xor(t3,not(t2))))]]) ).
cnf(refute_0_1729,plain,
xor(t3,not(t2)) = not(t4),
inference(resolve,[$cnf( $equal(not(t4),xor(t3,not(t2))) )],[refute_0_1727,refute_0_1728]) ).
cnf(refute_0_1730,plain,
( xor(t3,not(t2)) != not(t4)
| xor(t3,xor(not(t2),X_335)) != xor(xor(t3,not(t2)),X_335)
| xor(t3,xor(not(t2),X_335)) = xor(not(t4),X_335) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,xor(not(t2),X_335)),xor(xor(t3,not(t2)),X_335)) ),[1,0],$fot(not(t4))]]) ).
cnf(refute_0_1731,plain,
( xor(t3,xor(not(t2),X_335)) != xor(xor(t3,not(t2)),X_335)
| xor(t3,xor(not(t2),X_335)) = xor(not(t4),X_335) ),
inference(resolve,[$cnf( $equal(xor(t3,not(t2)),not(t4)) )],[refute_0_1729,refute_0_1730]) ).
cnf(refute_0_1732,plain,
xor(t3,xor(not(t2),X_335)) = xor(not(t4),X_335),
inference(resolve,[$cnf( $equal(xor(t3,xor(not(t2),X_335)),xor(xor(t3,not(t2)),X_335)) )],[refute_0_1615,refute_0_1731]) ).
cnf(refute_0_1733,plain,
xor(t3,xor(t2,X_335)) = xor(t2,xor(X_335,t3)),
inference(subst,[],[refute_0_1451:[bind(X,$fot(t3)),bind(X_333,$fot(t2)),bind(X_334,$fot(X_335))]]) ).
cnf(refute_0_1734,plain,
not(xor(t3,xor(t2,X_335))) = not(xor(t3,xor(t2,X_335))),
introduced(tautology,[refl,[$fot(not(xor(t3,xor(t2,X_335))))]]) ).
cnf(refute_0_1735,plain,
( not(xor(t3,xor(t2,X_335))) != not(xor(t3,xor(t2,X_335)))
| xor(t3,xor(t2,X_335)) != xor(t2,xor(X_335,t3))
| not(xor(t3,xor(t2,X_335))) = not(xor(t2,xor(X_335,t3))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t3,xor(t2,X_335))),not(xor(t3,xor(t2,X_335)))) ),[1,0],$fot(xor(t2,xor(X_335,t3)))]]) ).
cnf(refute_0_1736,plain,
( xor(t3,xor(t2,X_335)) != xor(t2,xor(X_335,t3))
| not(xor(t3,xor(t2,X_335))) = not(xor(t2,xor(X_335,t3))) ),
inference(resolve,[$cnf( $equal(not(xor(t3,xor(t2,X_335))),not(xor(t3,xor(t2,X_335)))) )],[refute_0_1734,refute_0_1735]) ).
cnf(refute_0_1737,plain,
not(xor(t3,xor(t2,X_335))) = not(xor(t2,xor(X_335,t3))),
inference(resolve,[$cnf( $equal(xor(t3,xor(t2,X_335)),xor(t2,xor(X_335,t3))) )],[refute_0_1733,refute_0_1736]) ).
cnf(refute_0_1738,plain,
xor(t3,not(xor(t2,X_335))) = not(xor(t3,xor(t2,X_335))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t3)),bind(X_334,$fot(xor(t2,X_335)))]]) ).
cnf(refute_0_1739,plain,
( not(xor(t3,xor(t2,X_335))) != not(xor(t2,xor(X_335,t3)))
| xor(t3,not(xor(t2,X_335))) != not(xor(t3,xor(t2,X_335)))
| xor(t3,not(xor(t2,X_335))) = not(xor(t2,xor(X_335,t3))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t3,not(xor(t2,X_335))))),bind(Y0,$fot(not(xor(t3,xor(t2,X_335))))),bind(Z0,$fot(not(xor(t2,xor(X_335,t3)))))]]) ).
cnf(refute_0_1740,plain,
( not(xor(t3,xor(t2,X_335))) != not(xor(t2,xor(X_335,t3)))
| xor(t3,not(xor(t2,X_335))) = not(xor(t2,xor(X_335,t3))) ),
inference(resolve,[$cnf( $equal(xor(t3,not(xor(t2,X_335))),not(xor(t3,xor(t2,X_335)))) )],[refute_0_1738,refute_0_1739]) ).
cnf(refute_0_1741,plain,
xor(t3,not(xor(t2,X_335))) = not(xor(t2,xor(X_335,t3))),
inference(resolve,[$cnf( $equal(not(xor(t3,xor(t2,X_335))),not(xor(t2,xor(X_335,t3)))) )],[refute_0_1737,refute_0_1740]) ).
cnf(refute_0_1742,plain,
xor(t2,not(X_335)) = not(xor(t2,X_335)),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t2)),bind(X_334,$fot(X_335))]]) ).
cnf(refute_0_1743,plain,
xor(not(t2),X_335) = xor(t2,not(X_335)),
inference(subst,[],[refute_0_468:[bind(Y,$fot(X_335)),bind(X_63,$fot(t2))]]) ).
cnf(refute_0_1744,plain,
( xor(not(t2),X_335) != xor(t2,not(X_335))
| xor(t2,not(X_335)) != not(xor(t2,X_335))
| xor(not(t2),X_335) = not(xor(t2,X_335)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(not(t2),X_335))),bind(Y0,$fot(xor(t2,not(X_335)))),bind(Z0,$fot(not(xor(t2,X_335))))]]) ).
cnf(refute_0_1745,plain,
( xor(t2,not(X_335)) != not(xor(t2,X_335))
| xor(not(t2),X_335) = not(xor(t2,X_335)) ),
inference(resolve,[$cnf( $equal(xor(not(t2),X_335),xor(t2,not(X_335))) )],[refute_0_1743,refute_0_1744]) ).
cnf(refute_0_1746,plain,
xor(not(t2),X_335) = not(xor(t2,X_335)),
inference(resolve,[$cnf( $equal(xor(t2,not(X_335)),not(xor(t2,X_335))) )],[refute_0_1742,refute_0_1745]) ).
cnf(refute_0_1747,plain,
xor(t3,xor(not(t2),X_335)) = xor(t3,xor(not(t2),X_335)),
introduced(tautology,[refl,[$fot(xor(t3,xor(not(t2),X_335)))]]) ).
cnf(refute_0_1748,plain,
( xor(not(t2),X_335) != not(xor(t2,X_335))
| xor(t3,xor(not(t2),X_335)) != xor(t3,xor(not(t2),X_335))
| xor(t3,xor(not(t2),X_335)) = xor(t3,not(xor(t2,X_335))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,xor(not(t2),X_335)),xor(t3,xor(not(t2),X_335))) ),[1,1],$fot(not(xor(t2,X_335)))]]) ).
cnf(refute_0_1749,plain,
( xor(not(t2),X_335) != not(xor(t2,X_335))
| xor(t3,xor(not(t2),X_335)) = xor(t3,not(xor(t2,X_335))) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(not(t2),X_335)),xor(t3,xor(not(t2),X_335))) )],[refute_0_1747,refute_0_1748]) ).
cnf(refute_0_1750,plain,
xor(t3,xor(not(t2),X_335)) = xor(t3,not(xor(t2,X_335))),
inference(resolve,[$cnf( $equal(xor(not(t2),X_335),not(xor(t2,X_335))) )],[refute_0_1746,refute_0_1749]) ).
cnf(refute_0_1751,plain,
( xor(t3,not(xor(t2,X_335))) != not(xor(t2,xor(X_335,t3)))
| xor(t3,xor(not(t2),X_335)) != xor(t3,not(xor(t2,X_335)))
| xor(t3,xor(not(t2),X_335)) = not(xor(t2,xor(X_335,t3))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t3,xor(not(t2),X_335)))),bind(Y0,$fot(xor(t3,not(xor(t2,X_335))))),bind(Z0,$fot(not(xor(t2,xor(X_335,t3)))))]]) ).
cnf(refute_0_1752,plain,
( xor(t3,not(xor(t2,X_335))) != not(xor(t2,xor(X_335,t3)))
| xor(t3,xor(not(t2),X_335)) = not(xor(t2,xor(X_335,t3))) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(not(t2),X_335)),xor(t3,not(xor(t2,X_335)))) )],[refute_0_1750,refute_0_1751]) ).
cnf(refute_0_1753,plain,
xor(t3,xor(not(t2),X_335)) = not(xor(t2,xor(X_335,t3))),
inference(resolve,[$cnf( $equal(xor(t3,not(xor(t2,X_335))),not(xor(t2,xor(X_335,t3)))) )],[refute_0_1741,refute_0_1752]) ).
cnf(refute_0_1754,plain,
( xor(t3,xor(not(t2),X_335)) != not(xor(t2,xor(X_335,t3)))
| xor(t3,xor(not(t2),X_335)) != xor(not(t4),X_335)
| not(xor(t2,xor(X_335,t3))) = xor(not(t4),X_335) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,xor(not(t2),X_335)),xor(not(t4),X_335)) ),[0],$fot(not(xor(t2,xor(X_335,t3))))]]) ).
cnf(refute_0_1755,plain,
( xor(t3,xor(not(t2),X_335)) != xor(not(t4),X_335)
| not(xor(t2,xor(X_335,t3))) = xor(not(t4),X_335) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(not(t2),X_335)),not(xor(t2,xor(X_335,t3)))) )],[refute_0_1753,refute_0_1754]) ).
cnf(refute_0_1756,plain,
xor(t4,not(X_335)) = not(xor(t4,X_335)),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t4)),bind(X_334,$fot(X_335))]]) ).
cnf(refute_0_1757,plain,
xor(not(t4),X_335) = xor(t4,not(X_335)),
inference(subst,[],[refute_0_468:[bind(Y,$fot(X_335)),bind(X_63,$fot(t4))]]) ).
cnf(refute_0_1758,plain,
( xor(not(t4),X_335) != xor(t4,not(X_335))
| xor(t4,not(X_335)) != not(xor(t4,X_335))
| xor(not(t4),X_335) = not(xor(t4,X_335)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(not(t4),X_335))),bind(Y0,$fot(xor(t4,not(X_335)))),bind(Z0,$fot(not(xor(t4,X_335))))]]) ).
cnf(refute_0_1759,plain,
( xor(t4,not(X_335)) != not(xor(t4,X_335))
| xor(not(t4),X_335) = not(xor(t4,X_335)) ),
inference(resolve,[$cnf( $equal(xor(not(t4),X_335),xor(t4,not(X_335))) )],[refute_0_1757,refute_0_1758]) ).
cnf(refute_0_1760,plain,
xor(not(t4),X_335) = not(xor(t4,X_335)),
inference(resolve,[$cnf( $equal(xor(t4,not(X_335)),not(xor(t4,X_335))) )],[refute_0_1756,refute_0_1759]) ).
cnf(refute_0_1761,plain,
( not(xor(t2,xor(X_335,t3))) != xor(not(t4),X_335)
| xor(not(t4),X_335) != not(xor(t4,X_335))
| not(xor(t2,xor(X_335,t3))) = not(xor(t4,X_335)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(t2,xor(X_335,t3))),not(xor(t4,X_335))) ),[0],$fot(xor(not(t4),X_335))]]) ).
cnf(refute_0_1762,plain,
( not(xor(t2,xor(X_335,t3))) != xor(not(t4),X_335)
| not(xor(t2,xor(X_335,t3))) = not(xor(t4,X_335)) ),
inference(resolve,[$cnf( $equal(xor(not(t4),X_335),not(xor(t4,X_335))) )],[refute_0_1760,refute_0_1761]) ).
cnf(refute_0_1763,plain,
( xor(t3,xor(not(t2),X_335)) != xor(not(t4),X_335)
| not(xor(t2,xor(X_335,t3))) = not(xor(t4,X_335)) ),
inference(resolve,[$cnf( $equal(not(xor(t2,xor(X_335,t3))),xor(not(t4),X_335)) )],[refute_0_1755,refute_0_1762]) ).
cnf(refute_0_1764,plain,
not(xor(t2,xor(X_335,t3))) = not(xor(t4,X_335)),
inference(resolve,[$cnf( $equal(xor(t3,xor(not(t2),X_335)),xor(not(t4),X_335)) )],[refute_0_1732,refute_0_1763]) ).
cnf(refute_0_1765,plain,
not(xor(t2,xor(t1,t3))) = not(xor(t4,t1)),
inference(subst,[],[refute_0_1764:[bind(X_335,$fot(t1))]]) ).
cnf(refute_0_1766,plain,
xor(b,xor(t1,t1)) = xor(t3,t1),
inference(subst,[],[refute_0_1233:[bind(X_335,$fot(t1))]]) ).
cnf(refute_0_1767,plain,
ll0 = xor(t1,t1),
inference(subst,[],[refute_0_40:[bind(X_63,$fot(t1))]]) ).
cnf(refute_0_1768,plain,
( ll0 != xor(t1,t1)
| xor(t1,t1) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(xor(t1,t1)))]]) ).
cnf(refute_0_1769,plain,
xor(t1,t1) = ll0,
inference(resolve,[$cnf( $equal(ll0,xor(t1,t1)) )],[refute_0_1767,refute_0_1768]) ).
cnf(refute_0_1770,plain,
( xor(b,xor(t1,t1)) != xor(t3,t1)
| xor(t1,t1) != ll0
| xor(b,ll0) = xor(t3,t1) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,xor(t1,t1)),xor(t3,t1)) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_1771,plain,
( xor(b,xor(t1,t1)) != xor(t3,t1)
| xor(b,ll0) = xor(t3,t1) ),
inference(resolve,[$cnf( $equal(xor(t1,t1),ll0) )],[refute_0_1769,refute_0_1770]) ).
cnf(refute_0_1772,plain,
xor(b,ll0) = xor(t3,t1),
inference(resolve,[$cnf( $equal(xor(b,xor(t1,t1)),xor(t3,t1)) )],[refute_0_1766,refute_0_1771]) ).
cnf(refute_0_1773,plain,
xor(b,ll0) = b,
inference(subst,[],[refute_0_1378:[bind(X_63,$fot(b))]]) ).
cnf(refute_0_1774,plain,
( xor(b,ll0) != b
| xor(b,ll0) != xor(t3,t1)
| b = xor(t3,t1) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,ll0),xor(t3,t1)) ),[0],$fot(b)]]) ).
cnf(refute_0_1775,plain,
( xor(b,ll0) != xor(t3,t1)
| b = xor(t3,t1) ),
inference(resolve,[$cnf( $equal(xor(b,ll0),b) )],[refute_0_1773,refute_0_1774]) ).
cnf(refute_0_1776,plain,
xor(X_333,xor(a,xor(a,t3))) = xor(xor(X_333,a),xor(a,t3)),
inference(subst,[],[xor_associative:[bind(X,$fot(X_333)),bind(Y,$fot(a)),bind(Z,$fot(xor(a,t3)))]]) ).
cnf(refute_0_1777,plain,
or(and(a,not(xor(a,t3))),and(not(a),xor(a,t3))) = xor(a,xor(a,t3)),
inference(subst,[],[refute_0_9:[bind(X,$fot(a)),bind(Y,$fot(xor(a,t3)))]]) ).
cnf(refute_0_1778,plain,
not(or(xor(a,t3),not(a))) = not(or(not(a),xor(a,t3))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(not(a))),bind(X_26,$fot(xor(a,t3)))]]) ).
cnf(refute_0_1779,plain,
or(not(a),and(t3,not(a))) = not(a),
inference(subst,[],[refute_0_222:[bind(X_13,$fot(not(a))),bind(X_14,$fot(t3))]]) ).
cnf(refute_0_1780,plain,
or(and(a,not(t3)),and(not(a),t3)) = xor(a,t3),
inference(subst,[],[refute_0_9:[bind(X,$fot(a)),bind(Y,$fot(t3))]]) ).
cnf(refute_0_1781,plain,
( and(a,not(t3)) != ll0
| or(and(a,not(t3)),and(not(a),t3)) != xor(a,t3)
| or(ll0,and(not(a),t3)) = xor(a,t3) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(a,not(t3)),and(not(a),t3)),xor(a,t3)) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_1782,plain,
( or(and(a,not(t3)),and(not(a),t3)) != xor(a,t3)
| or(ll0,and(not(a),t3)) = xor(a,t3) ),
inference(resolve,[$cnf( $equal(and(a,not(t3)),ll0) )],[refute_0_1634,refute_0_1781]) ).
cnf(refute_0_1783,plain,
or(ll0,and(not(a),t3)) = xor(a,t3),
inference(resolve,[$cnf( $equal(or(and(a,not(t3)),and(not(a),t3)),xor(a,t3)) )],[refute_0_1780,refute_0_1782]) ).
cnf(refute_0_1784,plain,
and(not(a),t3) = and(t3,not(a)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t3)),bind(Y,$fot(not(a)))]]) ).
cnf(refute_0_1785,plain,
or(ll0,and(not(a),t3)) = and(not(a),t3),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(a),t3)))]]) ).
cnf(refute_0_1786,plain,
( and(not(a),t3) != and(t3,not(a))
| or(ll0,and(not(a),t3)) != and(not(a),t3)
| or(ll0,and(not(a),t3)) = and(t3,not(a)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(ll0,and(not(a),t3)))),bind(Y0,$fot(and(not(a),t3))),bind(Z0,$fot(and(t3,not(a))))]]) ).
cnf(refute_0_1787,plain,
( and(not(a),t3) != and(t3,not(a))
| or(ll0,and(not(a),t3)) = and(t3,not(a)) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(a),t3)),and(not(a),t3)) )],[refute_0_1785,refute_0_1786]) ).
cnf(refute_0_1788,plain,
or(ll0,and(not(a),t3)) = and(t3,not(a)),
inference(resolve,[$cnf( $equal(and(not(a),t3),and(t3,not(a))) )],[refute_0_1784,refute_0_1787]) ).
cnf(refute_0_1789,plain,
( or(ll0,and(not(a),t3)) != and(t3,not(a))
| or(ll0,and(not(a),t3)) != xor(a,t3)
| and(t3,not(a)) = xor(a,t3) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(a),t3)),xor(a,t3)) ),[0],$fot(and(t3,not(a)))]]) ).
cnf(refute_0_1790,plain,
( or(ll0,and(not(a),t3)) != xor(a,t3)
| and(t3,not(a)) = xor(a,t3) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(a),t3)),and(t3,not(a))) )],[refute_0_1788,refute_0_1789]) ).
cnf(refute_0_1791,plain,
and(t3,not(a)) = xor(a,t3),
inference(resolve,[$cnf( $equal(or(ll0,and(not(a),t3)),xor(a,t3)) )],[refute_0_1783,refute_0_1790]) ).
cnf(refute_0_1792,plain,
( and(t3,not(a)) != xor(a,t3)
| or(not(a),and(t3,not(a))) != not(a)
| or(not(a),xor(a,t3)) = not(a) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(a),and(t3,not(a))),not(a)) ),[0,1],$fot(xor(a,t3))]]) ).
cnf(refute_0_1793,plain,
( or(not(a),and(t3,not(a))) != not(a)
| or(not(a),xor(a,t3)) = not(a) ),
inference(resolve,[$cnf( $equal(and(t3,not(a)),xor(a,t3)) )],[refute_0_1791,refute_0_1792]) ).
cnf(refute_0_1794,plain,
or(not(a),xor(a,t3)) = not(a),
inference(resolve,[$cnf( $equal(or(not(a),and(t3,not(a))),not(a)) )],[refute_0_1779,refute_0_1793]) ).
cnf(refute_0_1795,plain,
( not(or(xor(a,t3),not(a))) != not(or(not(a),xor(a,t3)))
| or(not(a),xor(a,t3)) != not(a)
| not(or(xor(a,t3),not(a))) = not(not(a)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(a,t3),not(a))),not(or(not(a),xor(a,t3)))) ),[1,0],$fot(not(a))]]) ).
cnf(refute_0_1796,plain,
( not(or(xor(a,t3),not(a))) != not(or(not(a),xor(a,t3)))
| not(or(xor(a,t3),not(a))) = not(not(a)) ),
inference(resolve,[$cnf( $equal(or(not(a),xor(a,t3)),not(a)) )],[refute_0_1794,refute_0_1795]) ).
cnf(refute_0_1797,plain,
not(or(xor(a,t3),not(a))) = not(not(a)),
inference(resolve,[$cnf( $equal(not(or(xor(a,t3),not(a))),not(or(not(a),xor(a,t3)))) )],[refute_0_1778,refute_0_1796]) ).
cnf(refute_0_1798,plain,
and(not(xor(a,t3)),a) = and(a,not(xor(a,t3))),
inference(subst,[],[refute_0_116:[bind(X,$fot(a)),bind(Y,$fot(not(xor(a,t3))))]]) ).
cnf(refute_0_1799,plain,
not(or(xor(a,t3),not(a))) = and(not(xor(a,t3)),a),
inference(subst,[],[refute_0_801:[bind(X,$fot(a)),bind(X_25,$fot(xor(a,t3)))]]) ).
cnf(refute_0_1800,plain,
( and(not(xor(a,t3)),a) != and(a,not(xor(a,t3)))
| not(or(xor(a,t3),not(a))) != and(not(xor(a,t3)),a)
| not(or(xor(a,t3),not(a))) = and(a,not(xor(a,t3))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(xor(a,t3),not(a))))),bind(Y0,$fot(and(not(xor(a,t3)),a))),bind(Z0,$fot(and(a,not(xor(a,t3)))))]]) ).
cnf(refute_0_1801,plain,
( and(not(xor(a,t3)),a) != and(a,not(xor(a,t3)))
| not(or(xor(a,t3),not(a))) = and(a,not(xor(a,t3))) ),
inference(resolve,[$cnf( $equal(not(or(xor(a,t3),not(a))),and(not(xor(a,t3)),a)) )],[refute_0_1799,refute_0_1800]) ).
cnf(refute_0_1802,plain,
not(or(xor(a,t3),not(a))) = and(a,not(xor(a,t3))),
inference(resolve,[$cnf( $equal(and(not(xor(a,t3)),a),and(a,not(xor(a,t3)))) )],[refute_0_1798,refute_0_1801]) ).
cnf(refute_0_1803,plain,
( not(or(xor(a,t3),not(a))) != and(a,not(xor(a,t3)))
| not(or(xor(a,t3),not(a))) != not(not(a))
| and(a,not(xor(a,t3))) = not(not(a)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(a,t3),not(a))),not(not(a))) ),[0],$fot(and(a,not(xor(a,t3))))]]) ).
cnf(refute_0_1804,plain,
( not(or(xor(a,t3),not(a))) != not(not(a))
| and(a,not(xor(a,t3))) = not(not(a)) ),
inference(resolve,[$cnf( $equal(not(or(xor(a,t3),not(a))),and(a,not(xor(a,t3)))) )],[refute_0_1802,refute_0_1803]) ).
cnf(refute_0_1805,plain,
not(not(a)) = a,
inference(subst,[],[not_involution:[bind(X,$fot(a))]]) ).
cnf(refute_0_1806,plain,
( and(a,not(xor(a,t3))) != not(not(a))
| not(not(a)) != a
| and(a,not(xor(a,t3))) = a ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(a,not(xor(a,t3))),a) ),[0],$fot(not(not(a)))]]) ).
cnf(refute_0_1807,plain,
( and(a,not(xor(a,t3))) != not(not(a))
| and(a,not(xor(a,t3))) = a ),
inference(resolve,[$cnf( $equal(not(not(a)),a) )],[refute_0_1805,refute_0_1806]) ).
cnf(refute_0_1808,plain,
( not(or(xor(a,t3),not(a))) != not(not(a))
| and(a,not(xor(a,t3))) = a ),
inference(resolve,[$cnf( $equal(and(a,not(xor(a,t3))),not(not(a))) )],[refute_0_1804,refute_0_1807]) ).
cnf(refute_0_1809,plain,
and(a,not(xor(a,t3))) = a,
inference(resolve,[$cnf( $equal(not(or(xor(a,t3),not(a))),not(not(a))) )],[refute_0_1797,refute_0_1808]) ).
cnf(refute_0_1810,plain,
( and(a,not(xor(a,t3))) != a
| or(and(a,not(xor(a,t3))),and(not(a),xor(a,t3))) != xor(a,xor(a,t3))
| or(a,and(not(a),xor(a,t3))) = xor(a,xor(a,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(a,not(xor(a,t3))),and(not(a),xor(a,t3))),xor(a,xor(a,t3))) ),[0,0],$fot(a)]]) ).
cnf(refute_0_1811,plain,
( or(and(a,not(xor(a,t3))),and(not(a),xor(a,t3))) != xor(a,xor(a,t3))
| or(a,and(not(a),xor(a,t3))) = xor(a,xor(a,t3)) ),
inference(resolve,[$cnf( $equal(and(a,not(xor(a,t3))),a) )],[refute_0_1809,refute_0_1810]) ).
cnf(refute_0_1812,plain,
or(a,and(not(a),xor(a,t3))) = xor(a,xor(a,t3)),
inference(resolve,[$cnf( $equal(or(and(a,not(xor(a,t3))),and(not(a),xor(a,t3))),xor(a,xor(a,t3))) )],[refute_0_1777,refute_0_1811]) ).
cnf(refute_0_1813,plain,
and(xor(a,t3),or(not(a),xor(a,t3))) = xor(a,t3),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(xor(a,t3))),bind(X_20,$fot(not(a)))]]) ).
cnf(refute_0_1814,plain,
( and(xor(a,t3),or(not(a),xor(a,t3))) != xor(a,t3)
| or(not(a),xor(a,t3)) != not(a)
| and(xor(a,t3),not(a)) = xor(a,t3) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(a,t3),or(not(a),xor(a,t3))),xor(a,t3)) ),[0,1],$fot(not(a))]]) ).
cnf(refute_0_1815,plain,
( and(xor(a,t3),or(not(a),xor(a,t3))) != xor(a,t3)
| and(xor(a,t3),not(a)) = xor(a,t3) ),
inference(resolve,[$cnf( $equal(or(not(a),xor(a,t3)),not(a)) )],[refute_0_1794,refute_0_1814]) ).
cnf(refute_0_1816,plain,
and(xor(a,t3),not(a)) = xor(a,t3),
inference(resolve,[$cnf( $equal(and(xor(a,t3),or(not(a),xor(a,t3))),xor(a,t3)) )],[refute_0_1813,refute_0_1815]) ).
cnf(refute_0_1817,plain,
and(xor(a,t3),not(a)) = and(not(a),xor(a,t3)),
inference(subst,[],[refute_0_116:[bind(X,$fot(not(a))),bind(Y,$fot(xor(a,t3)))]]) ).
cnf(refute_0_1818,plain,
( and(xor(a,t3),not(a)) != and(not(a),xor(a,t3))
| and(xor(a,t3),not(a)) != xor(a,t3)
| and(not(a),xor(a,t3)) = xor(a,t3) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(a,t3),not(a)),xor(a,t3)) ),[0],$fot(and(not(a),xor(a,t3)))]]) ).
cnf(refute_0_1819,plain,
( and(xor(a,t3),not(a)) != xor(a,t3)
| and(not(a),xor(a,t3)) = xor(a,t3) ),
inference(resolve,[$cnf( $equal(and(xor(a,t3),not(a)),and(not(a),xor(a,t3))) )],[refute_0_1817,refute_0_1818]) ).
cnf(refute_0_1820,plain,
and(not(a),xor(a,t3)) = xor(a,t3),
inference(resolve,[$cnf( $equal(and(xor(a,t3),not(a)),xor(a,t3)) )],[refute_0_1816,refute_0_1819]) ).
cnf(refute_0_1821,plain,
or(a,and(not(a),xor(a,t3))) = or(a,and(not(a),xor(a,t3))),
introduced(tautology,[refl,[$fot(or(a,and(not(a),xor(a,t3))))]]) ).
cnf(refute_0_1822,plain,
( and(not(a),xor(a,t3)) != xor(a,t3)
| or(a,and(not(a),xor(a,t3))) != or(a,and(not(a),xor(a,t3)))
| or(a,and(not(a),xor(a,t3))) = or(a,xor(a,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(or(a,and(not(a),xor(a,t3))),or(a,and(not(a),xor(a,t3)))) ),[1,1],$fot(xor(a,t3))]]) ).
cnf(refute_0_1823,plain,
( and(not(a),xor(a,t3)) != xor(a,t3)
| or(a,and(not(a),xor(a,t3))) = or(a,xor(a,t3)) ),
inference(resolve,[$cnf( $equal(or(a,and(not(a),xor(a,t3))),or(a,and(not(a),xor(a,t3)))) )],[refute_0_1821,refute_0_1822]) ).
cnf(refute_0_1824,plain,
or(a,and(not(a),xor(a,t3))) = or(a,xor(a,t3)),
inference(resolve,[$cnf( $equal(and(not(a),xor(a,t3)),xor(a,t3)) )],[refute_0_1820,refute_0_1823]) ).
cnf(refute_0_1825,plain,
( or(a,and(not(a),xor(a,t3))) != or(a,xor(a,t3))
| or(a,and(not(a),xor(a,t3))) != xor(a,xor(a,t3))
| or(a,xor(a,t3)) = xor(a,xor(a,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(or(a,and(not(a),xor(a,t3))),xor(a,xor(a,t3))) ),[0],$fot(or(a,xor(a,t3)))]]) ).
cnf(refute_0_1826,plain,
( or(a,and(not(a),xor(a,t3))) != xor(a,xor(a,t3))
| or(a,xor(a,t3)) = xor(a,xor(a,t3)) ),
inference(resolve,[$cnf( $equal(or(a,and(not(a),xor(a,t3))),or(a,xor(a,t3))) )],[refute_0_1824,refute_0_1825]) ).
cnf(refute_0_1827,plain,
or(a,xor(a,t3)) = xor(a,xor(a,t3)),
inference(resolve,[$cnf( $equal(or(a,and(not(a),xor(a,t3))),xor(a,xor(a,t3))) )],[refute_0_1812,refute_0_1826]) ).
cnf(refute_0_1828,plain,
( or(a,xor(a,t3)) != xor(a,xor(a,t3))
| xor(a,xor(a,t3)) = or(a,xor(a,t3)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(a,xor(a,t3)))),bind(Y0,$fot(xor(a,xor(a,t3))))]]) ).
cnf(refute_0_1829,plain,
xor(a,xor(a,t3)) = or(a,xor(a,t3)),
inference(resolve,[$cnf( $equal(or(a,xor(a,t3)),xor(a,xor(a,t3))) )],[refute_0_1827,refute_0_1828]) ).
cnf(refute_0_1830,plain,
( xor(X_333,xor(a,xor(a,t3))) != xor(xor(X_333,a),xor(a,t3))
| xor(a,xor(a,t3)) != or(a,xor(a,t3))
| xor(X_333,or(a,xor(a,t3))) = xor(xor(X_333,a),xor(a,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,xor(a,xor(a,t3))),xor(xor(X_333,a),xor(a,t3))) ),[0,1],$fot(or(a,xor(a,t3)))]]) ).
cnf(refute_0_1831,plain,
( xor(X_333,xor(a,xor(a,t3))) != xor(xor(X_333,a),xor(a,t3))
| xor(X_333,or(a,xor(a,t3))) = xor(xor(X_333,a),xor(a,t3)) ),
inference(resolve,[$cnf( $equal(xor(a,xor(a,t3)),or(a,xor(a,t3))) )],[refute_0_1829,refute_0_1830]) ).
cnf(refute_0_1832,plain,
xor(X_333,or(a,xor(a,t3))) = xor(xor(X_333,a),xor(a,t3)),
inference(resolve,[$cnf( $equal(xor(X_333,xor(a,xor(a,t3))),xor(xor(X_333,a),xor(a,t3))) )],[refute_0_1776,refute_0_1831]) ).
cnf(refute_0_1833,plain,
xor(t3,xor(X_333,a)) = xor(a,xor(t3,X_333)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(a)),bind(X_333,$fot(t3)),bind(X_334,$fot(X_333))]]) ).
cnf(refute_0_1834,plain,
xor(a,xor(t3,xor(X_333,a))) = xor(a,xor(t3,xor(X_333,a))),
introduced(tautology,[refl,[$fot(xor(a,xor(t3,xor(X_333,a))))]]) ).
cnf(refute_0_1835,plain,
( xor(a,xor(t3,xor(X_333,a))) != xor(a,xor(t3,xor(X_333,a)))
| xor(t3,xor(X_333,a)) != xor(a,xor(t3,X_333))
| xor(a,xor(t3,xor(X_333,a))) = xor(a,xor(a,xor(t3,X_333))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t3,xor(X_333,a))),xor(a,xor(t3,xor(X_333,a)))) ),[1,1],$fot(xor(a,xor(t3,X_333)))]]) ).
cnf(refute_0_1836,plain,
( xor(t3,xor(X_333,a)) != xor(a,xor(t3,X_333))
| xor(a,xor(t3,xor(X_333,a))) = xor(a,xor(a,xor(t3,X_333))) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,xor(X_333,a))),xor(a,xor(t3,xor(X_333,a)))) )],[refute_0_1834,refute_0_1835]) ).
cnf(refute_0_1837,plain,
xor(a,xor(t3,xor(X_333,a))) = xor(a,xor(a,xor(t3,X_333))),
inference(resolve,[$cnf( $equal(xor(t3,xor(X_333,a)),xor(a,xor(t3,X_333))) )],[refute_0_1833,refute_0_1836]) ).
cnf(refute_0_1838,plain,
xor(t3,xor(xor(X_333,a),a)) = xor(a,xor(t3,xor(X_333,a))),
inference(subst,[],[refute_0_1453:[bind(X,$fot(a)),bind(X_333,$fot(t3)),bind(X_334,$fot(xor(X_333,a)))]]) ).
cnf(refute_0_1839,plain,
xor(xor(X_333,a),xor(a,t3)) = xor(t3,xor(xor(X_333,a),a)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(t3)),bind(X_333,$fot(xor(X_333,a))),bind(X_334,$fot(a))]]) ).
cnf(refute_0_1840,plain,
( xor(t3,xor(xor(X_333,a),a)) != xor(a,xor(t3,xor(X_333,a)))
| xor(xor(X_333,a),xor(a,t3)) != xor(t3,xor(xor(X_333,a),a))
| xor(xor(X_333,a),xor(a,t3)) = xor(a,xor(t3,xor(X_333,a))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X_333,a),xor(a,t3)))),bind(Y0,$fot(xor(t3,xor(xor(X_333,a),a)))),bind(Z0,$fot(xor(a,xor(t3,xor(X_333,a)))))]]) ).
cnf(refute_0_1841,plain,
( xor(t3,xor(xor(X_333,a),a)) != xor(a,xor(t3,xor(X_333,a)))
| xor(xor(X_333,a),xor(a,t3)) = xor(a,xor(t3,xor(X_333,a))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,a),xor(a,t3)),xor(t3,xor(xor(X_333,a),a))) )],[refute_0_1839,refute_0_1840]) ).
cnf(refute_0_1842,plain,
xor(xor(X_333,a),xor(a,t3)) = xor(a,xor(t3,xor(X_333,a))),
inference(resolve,[$cnf( $equal(xor(t3,xor(xor(X_333,a),a)),xor(a,xor(t3,xor(X_333,a)))) )],[refute_0_1838,refute_0_1841]) ).
cnf(refute_0_1843,plain,
( xor(a,xor(t3,xor(X_333,a))) != xor(a,xor(a,xor(t3,X_333)))
| xor(xor(X_333,a),xor(a,t3)) != xor(a,xor(t3,xor(X_333,a)))
| xor(xor(X_333,a),xor(a,t3)) = xor(a,xor(a,xor(t3,X_333))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X_333,a),xor(a,t3)))),bind(Y0,$fot(xor(a,xor(t3,xor(X_333,a))))),bind(Z0,$fot(xor(a,xor(a,xor(t3,X_333)))))]]) ).
cnf(refute_0_1844,plain,
( xor(a,xor(t3,xor(X_333,a))) != xor(a,xor(a,xor(t3,X_333)))
| xor(xor(X_333,a),xor(a,t3)) = xor(a,xor(a,xor(t3,X_333))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,a),xor(a,t3)),xor(a,xor(t3,xor(X_333,a)))) )],[refute_0_1842,refute_0_1843]) ).
cnf(refute_0_1845,plain,
xor(xor(X_333,a),xor(a,t3)) = xor(a,xor(a,xor(t3,X_333))),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,xor(X_333,a))),xor(a,xor(a,xor(t3,X_333)))) )],[refute_0_1837,refute_0_1844]) ).
cnf(refute_0_1846,plain,
( xor(X_333,or(a,xor(a,t3))) != xor(xor(X_333,a),xor(a,t3))
| xor(xor(X_333,a),xor(a,t3)) != xor(a,xor(a,xor(t3,X_333)))
| xor(X_333,or(a,xor(a,t3))) = xor(a,xor(a,xor(t3,X_333))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(X_333,or(a,xor(a,t3))),xor(a,xor(a,xor(t3,X_333)))) ),[0],$fot(xor(xor(X_333,a),xor(a,t3)))]]) ).
cnf(refute_0_1847,plain,
( xor(X_333,or(a,xor(a,t3))) != xor(xor(X_333,a),xor(a,t3))
| xor(X_333,or(a,xor(a,t3))) = xor(a,xor(a,xor(t3,X_333))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,a),xor(a,t3)),xor(a,xor(a,xor(t3,X_333)))) )],[refute_0_1845,refute_0_1846]) ).
cnf(refute_0_1848,plain,
xor(X_333,or(a,xor(a,t3))) = xor(a,xor(a,xor(t3,X_333))),
inference(resolve,[$cnf( $equal(xor(X_333,or(a,xor(a,t3))),xor(xor(X_333,a),xor(a,t3))) )],[refute_0_1832,refute_0_1847]) ).
cnf(refute_0_1849,plain,
xor(a,xor(a,t3)) = t3,
inference(subst,[],[refute_0_88:[bind(X_334,$fot(a)),bind(X_335,$fot(t3))]]) ).
cnf(refute_0_1850,plain,
( or(a,xor(a,t3)) != xor(a,xor(a,t3))
| xor(a,xor(a,t3)) != t3
| or(a,xor(a,t3)) = t3 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(a,xor(a,t3)),t3) ),[0],$fot(xor(a,xor(a,t3)))]]) ).
cnf(refute_0_1851,plain,
( or(a,xor(a,t3)) != xor(a,xor(a,t3))
| or(a,xor(a,t3)) = t3 ),
inference(resolve,[$cnf( $equal(xor(a,xor(a,t3)),t3) )],[refute_0_1849,refute_0_1850]) ).
cnf(refute_0_1852,plain,
or(a,xor(a,t3)) = t3,
inference(resolve,[$cnf( $equal(or(a,xor(a,t3)),xor(a,xor(a,t3))) )],[refute_0_1827,refute_0_1851]) ).
cnf(refute_0_1853,plain,
xor(X_333,or(a,xor(a,t3))) = xor(X_333,or(a,xor(a,t3))),
introduced(tautology,[refl,[$fot(xor(X_333,or(a,xor(a,t3))))]]) ).
cnf(refute_0_1854,plain,
( or(a,xor(a,t3)) != t3
| xor(X_333,or(a,xor(a,t3))) != xor(X_333,or(a,xor(a,t3)))
| xor(X_333,or(a,xor(a,t3))) = xor(X_333,t3) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,or(a,xor(a,t3))),xor(X_333,or(a,xor(a,t3)))) ),[1,1],$fot(t3)]]) ).
cnf(refute_0_1855,plain,
( or(a,xor(a,t3)) != t3
| xor(X_333,or(a,xor(a,t3))) = xor(X_333,t3) ),
inference(resolve,[$cnf( $equal(xor(X_333,or(a,xor(a,t3))),xor(X_333,or(a,xor(a,t3)))) )],[refute_0_1853,refute_0_1854]) ).
cnf(refute_0_1856,plain,
xor(X_333,or(a,xor(a,t3))) = xor(X_333,t3),
inference(resolve,[$cnf( $equal(or(a,xor(a,t3)),t3) )],[refute_0_1852,refute_0_1855]) ).
cnf(refute_0_1857,plain,
( xor(X_333,or(a,xor(a,t3))) != xor(X_333,t3)
| xor(X_333,or(a,xor(a,t3))) != xor(a,xor(a,xor(t3,X_333)))
| xor(X_333,t3) = xor(a,xor(a,xor(t3,X_333))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,or(a,xor(a,t3))),xor(a,xor(a,xor(t3,X_333)))) ),[0],$fot(xor(X_333,t3))]]) ).
cnf(refute_0_1858,plain,
( xor(X_333,or(a,xor(a,t3))) != xor(a,xor(a,xor(t3,X_333)))
| xor(X_333,t3) = xor(a,xor(a,xor(t3,X_333))) ),
inference(resolve,[$cnf( $equal(xor(X_333,or(a,xor(a,t3))),xor(X_333,t3)) )],[refute_0_1856,refute_0_1857]) ).
cnf(refute_0_1859,plain,
xor(a,xor(a,xor(t3,X_333))) = xor(t3,X_333),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(a)),bind(X_335,$fot(xor(t3,X_333)))]]) ).
cnf(refute_0_1860,plain,
( xor(X_333,t3) != xor(a,xor(a,xor(t3,X_333)))
| xor(a,xor(a,xor(t3,X_333))) != xor(t3,X_333)
| xor(X_333,t3) = xor(t3,X_333) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(X_333,t3),xor(t3,X_333)) ),[0],$fot(xor(a,xor(a,xor(t3,X_333))))]]) ).
cnf(refute_0_1861,plain,
( xor(X_333,t3) != xor(a,xor(a,xor(t3,X_333)))
| xor(X_333,t3) = xor(t3,X_333) ),
inference(resolve,[$cnf( $equal(xor(a,xor(a,xor(t3,X_333))),xor(t3,X_333)) )],[refute_0_1859,refute_0_1860]) ).
cnf(refute_0_1862,plain,
( xor(X_333,or(a,xor(a,t3))) != xor(a,xor(a,xor(t3,X_333)))
| xor(X_333,t3) = xor(t3,X_333) ),
inference(resolve,[$cnf( $equal(xor(X_333,t3),xor(a,xor(a,xor(t3,X_333)))) )],[refute_0_1858,refute_0_1861]) ).
cnf(refute_0_1863,plain,
xor(X_333,t3) = xor(t3,X_333),
inference(resolve,[$cnf( $equal(xor(X_333,or(a,xor(a,t3))),xor(a,xor(a,xor(t3,X_333)))) )],[refute_0_1848,refute_0_1862]) ).
cnf(refute_0_1864,plain,
( xor(X_333,t3) != xor(t3,X_333)
| xor(t3,X_333) = xor(X_333,t3) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X_333,t3))),bind(Y0,$fot(xor(t3,X_333)))]]) ).
cnf(refute_0_1865,plain,
xor(t3,X_333) = xor(X_333,t3),
inference(resolve,[$cnf( $equal(xor(X_333,t3),xor(t3,X_333)) )],[refute_0_1863,refute_0_1864]) ).
cnf(refute_0_1866,plain,
xor(t3,t1) = xor(t1,t3),
inference(subst,[],[refute_0_1865:[bind(X_333,$fot(t1))]]) ).
cnf(refute_0_1867,plain,
( b != xor(t3,t1)
| xor(t3,t1) != xor(t1,t3)
| b = xor(t1,t3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(b,xor(t1,t3)) ),[0],$fot(xor(t3,t1))]]) ).
cnf(refute_0_1868,plain,
( b != xor(t3,t1)
| b = xor(t1,t3) ),
inference(resolve,[$cnf( $equal(xor(t3,t1),xor(t1,t3)) )],[refute_0_1866,refute_0_1867]) ).
cnf(refute_0_1869,plain,
( xor(b,ll0) != xor(t3,t1)
| b = xor(t1,t3) ),
inference(resolve,[$cnf( $equal(b,xor(t3,t1)) )],[refute_0_1775,refute_0_1868]) ).
cnf(refute_0_1870,plain,
b = xor(t1,t3),
inference(resolve,[$cnf( $equal(xor(b,ll0),xor(t3,t1)) )],[refute_0_1772,refute_0_1869]) ).
cnf(refute_0_1871,plain,
( b != xor(t1,t3)
| xor(t1,t3) = b ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(b)),bind(Y0,$fot(xor(t1,t3)))]]) ).
cnf(refute_0_1872,plain,
xor(t1,t3) = b,
inference(resolve,[$cnf( $equal(b,xor(t1,t3)) )],[refute_0_1870,refute_0_1871]) ).
cnf(refute_0_1873,plain,
( not(xor(t2,xor(t1,t3))) != not(xor(t4,t1))
| xor(t1,t3) != b
| not(xor(t2,b)) = not(xor(t4,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t2,xor(t1,t3))),not(xor(t4,t1))) ),[0,0,1],$fot(b)]]) ).
cnf(refute_0_1874,plain,
( not(xor(t2,xor(t1,t3))) != not(xor(t4,t1))
| not(xor(t2,b)) = not(xor(t4,t1)) ),
inference(resolve,[$cnf( $equal(xor(t1,t3),b) )],[refute_0_1872,refute_0_1873]) ).
cnf(refute_0_1875,plain,
not(xor(t2,b)) = not(xor(t4,t1)),
inference(resolve,[$cnf( $equal(not(xor(t2,xor(t1,t3))),not(xor(t4,t1))) )],[refute_0_1765,refute_0_1874]) ).
cnf(refute_0_1876,plain,
not(not(and(or(b,t4),or(t2,not(b))))) = and(or(b,t4),or(t2,not(b))),
inference(subst,[],[not_involution:[bind(X,$fot(and(or(b,t4),or(t2,not(b)))))]]) ).
cnf(refute_0_1877,plain,
or(and(t2,not(b)),and(not(t2),b)) = xor(t2,b),
inference(subst,[],[refute_0_9:[bind(X,$fot(t2)),bind(Y,$fot(b))]]) ).
cnf(refute_0_1878,plain,
and(not(t4),not(b)) = and(t2,and(t3,not(b))),
inference(subst,[],[refute_0_611:[bind(X_222,$fot(not(b)))]]) ).
cnf(refute_0_1879,plain,
not(or(b,not(t3))) = not(or(not(t3),b)),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(not(t3))),bind(X_26,$fot(b))]]) ).
cnf(refute_0_1880,plain,
or(b,and(b,t1)) = b,
inference(subst,[],[or_absorption:[bind(X,$fot(b)),bind(Y,$fot(t1))]]) ).
cnf(refute_0_1881,plain,
( and(b,t1) != not(t3)
| or(b,and(b,t1)) != b
| or(b,not(t3)) = b ),
introduced(tautology,[equality,[$cnf( $equal(or(b,and(b,t1)),b) ),[0,1],$fot(not(t3))]]) ).
cnf(refute_0_1882,plain,
( or(b,and(b,t1)) != b
| or(b,not(t3)) = b ),
inference(resolve,[$cnf( $equal(and(b,t1),not(t3)) )],[refute_0_1270,refute_0_1881]) ).
cnf(refute_0_1883,plain,
or(b,not(t3)) = b,
inference(resolve,[$cnf( $equal(or(b,and(b,t1)),b) )],[refute_0_1880,refute_0_1882]) ).
cnf(refute_0_1884,plain,
( not(or(b,not(t3))) != not(or(not(t3),b))
| or(b,not(t3)) != b
| not(b) = not(or(not(t3),b)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(b,not(t3))),not(or(not(t3),b))) ),[0,0],$fot(b)]]) ).
cnf(refute_0_1885,plain,
( not(or(b,not(t3))) != not(or(not(t3),b))
| not(b) = not(or(not(t3),b)) ),
inference(resolve,[$cnf( $equal(or(b,not(t3)),b) )],[refute_0_1883,refute_0_1884]) ).
cnf(refute_0_1886,plain,
not(b) = not(or(not(t3),b)),
inference(resolve,[$cnf( $equal(not(or(b,not(t3))),not(or(not(t3),b))) )],[refute_0_1879,refute_0_1885]) ).
cnf(refute_0_1887,plain,
not(or(not(t3),b)) = and(t3,not(b)),
inference(subst,[],[refute_0_159:[bind(X,$fot(t3)),bind(X_26,$fot(b))]]) ).
cnf(refute_0_1888,plain,
( not(b) != not(or(not(t3),b))
| not(or(not(t3),b)) != and(t3,not(b))
| not(b) = and(t3,not(b)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(b),and(t3,not(b))) ),[0],$fot(not(or(not(t3),b)))]]) ).
cnf(refute_0_1889,plain,
( not(b) != not(or(not(t3),b))
| not(b) = and(t3,not(b)) ),
inference(resolve,[$cnf( $equal(not(or(not(t3),b)),and(t3,not(b))) )],[refute_0_1887,refute_0_1888]) ).
cnf(refute_0_1890,plain,
not(b) = and(t3,not(b)),
inference(resolve,[$cnf( $equal(not(b),not(or(not(t3),b))) )],[refute_0_1886,refute_0_1889]) ).
cnf(refute_0_1891,plain,
( not(b) != and(t3,not(b))
| and(t3,not(b)) = not(b) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(b))),bind(Y0,$fot(and(t3,not(b))))]]) ).
cnf(refute_0_1892,plain,
and(t3,not(b)) = not(b),
inference(resolve,[$cnf( $equal(not(b),and(t3,not(b))) )],[refute_0_1890,refute_0_1891]) ).
cnf(refute_0_1893,plain,
( and(not(t4),not(b)) != and(t2,and(t3,not(b)))
| and(t3,not(b)) != not(b)
| and(not(t4),not(b)) = and(t2,not(b)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),not(b)),and(t2,and(t3,not(b)))) ),[1,1],$fot(not(b))]]) ).
cnf(refute_0_1894,plain,
( and(not(t4),not(b)) != and(t2,and(t3,not(b)))
| and(not(t4),not(b)) = and(t2,not(b)) ),
inference(resolve,[$cnf( $equal(and(t3,not(b)),not(b)) )],[refute_0_1892,refute_0_1893]) ).
cnf(refute_0_1895,plain,
and(not(t4),not(b)) = and(t2,not(b)),
inference(resolve,[$cnf( $equal(and(not(t4),not(b)),and(t2,and(t3,not(b)))) )],[refute_0_1878,refute_0_1894]) ).
cnf(refute_0_1896,plain,
not(or(t4,b)) = not(or(b,t4)),
inference(subst,[],[refute_0_562:[bind(X_25,$fot(t4)),bind(X_26,$fot(b))]]) ).
cnf(refute_0_1897,plain,
and(not(t4),not(b)) = not(or(t4,b)),
inference(subst,[],[refute_0_101:[bind(X,$fot(t4)),bind(Y,$fot(b))]]) ).
cnf(refute_0_1898,plain,
( and(not(t4),not(b)) != not(or(t4,b))
| not(or(t4,b)) != not(or(b,t4))
| and(not(t4),not(b)) = not(or(b,t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t4),not(b)))),bind(Y0,$fot(not(or(t4,b)))),bind(Z0,$fot(not(or(b,t4))))]]) ).
cnf(refute_0_1899,plain,
( not(or(t4,b)) != not(or(b,t4))
| and(not(t4),not(b)) = not(or(b,t4)) ),
inference(resolve,[$cnf( $equal(and(not(t4),not(b)),not(or(t4,b))) )],[refute_0_1897,refute_0_1898]) ).
cnf(refute_0_1900,plain,
and(not(t4),not(b)) = not(or(b,t4)),
inference(resolve,[$cnf( $equal(not(or(t4,b)),not(or(b,t4))) )],[refute_0_1896,refute_0_1899]) ).
cnf(refute_0_1901,plain,
( and(not(t4),not(b)) != and(t2,not(b))
| and(not(t4),not(b)) != not(or(b,t4))
| not(or(b,t4)) = and(t2,not(b)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),not(b)),and(t2,not(b))) ),[0],$fot(not(or(b,t4)))]]) ).
cnf(refute_0_1902,plain,
( and(not(t4),not(b)) != and(t2,not(b))
| not(or(b,t4)) = and(t2,not(b)) ),
inference(resolve,[$cnf( $equal(and(not(t4),not(b)),not(or(b,t4))) )],[refute_0_1900,refute_0_1901]) ).
cnf(refute_0_1903,plain,
not(or(b,t4)) = and(t2,not(b)),
inference(resolve,[$cnf( $equal(and(not(t4),not(b)),and(t2,not(b))) )],[refute_0_1895,refute_0_1902]) ).
cnf(refute_0_1904,plain,
( not(or(b,t4)) != and(t2,not(b))
| and(t2,not(b)) = not(or(b,t4)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(b,t4)))),bind(Y0,$fot(and(t2,not(b))))]]) ).
cnf(refute_0_1905,plain,
and(t2,not(b)) = not(or(b,t4)),
inference(resolve,[$cnf( $equal(not(or(b,t4)),and(t2,not(b))) )],[refute_0_1903,refute_0_1904]) ).
cnf(refute_0_1906,plain,
( and(t2,not(b)) != not(or(b,t4))
| or(and(t2,not(b)),and(not(t2),b)) != xor(t2,b)
| or(not(or(b,t4)),and(not(t2),b)) = xor(t2,b) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t2,not(b)),and(not(t2),b)),xor(t2,b)) ),[0,0],$fot(not(or(b,t4)))]]) ).
cnf(refute_0_1907,plain,
( or(and(t2,not(b)),and(not(t2),b)) != xor(t2,b)
| or(not(or(b,t4)),and(not(t2),b)) = xor(t2,b) ),
inference(resolve,[$cnf( $equal(and(t2,not(b)),not(or(b,t4))) )],[refute_0_1905,refute_0_1906]) ).
cnf(refute_0_1908,plain,
or(not(or(b,t4)),and(not(t2),b)) = xor(t2,b),
inference(resolve,[$cnf( $equal(or(and(t2,not(b)),and(not(t2),b)),xor(t2,b)) )],[refute_0_1877,refute_0_1907]) ).
cnf(refute_0_1909,plain,
or(not(or(b,t4)),and(not(t2),b)) = not(and(or(b,t4),or(t2,not(b)))),
inference(subst,[],[refute_0_1337:[bind(X,$fot(or(b,t4))),bind(X_78,$fot(b)),bind(X_79,$fot(t2))]]) ).
cnf(refute_0_1910,plain,
( or(not(or(b,t4)),and(not(t2),b)) != not(and(or(b,t4),or(t2,not(b))))
| or(not(or(b,t4)),and(not(t2),b)) != xor(t2,b)
| not(and(or(b,t4),or(t2,not(b)))) = xor(t2,b) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(or(b,t4)),and(not(t2),b)),xor(t2,b)) ),[0],$fot(not(and(or(b,t4),or(t2,not(b)))))]]) ).
cnf(refute_0_1911,plain,
( or(not(or(b,t4)),and(not(t2),b)) != xor(t2,b)
| not(and(or(b,t4),or(t2,not(b)))) = xor(t2,b) ),
inference(resolve,[$cnf( $equal(or(not(or(b,t4)),and(not(t2),b)),not(and(or(b,t4),or(t2,not(b))))) )],[refute_0_1909,refute_0_1910]) ).
cnf(refute_0_1912,plain,
( xor(X,Y) != xor(Y,X)
| xor(Y,X) = xor(X,Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X,Y))),bind(Y0,$fot(xor(Y,X)))]]) ).
cnf(refute_0_1913,plain,
xor(Y,X) = xor(X,Y),
inference(resolve,[$cnf( $equal(xor(X,Y),xor(Y,X)) )],[xor_commutative,refute_0_1912]) ).
cnf(refute_0_1914,plain,
xor(t2,b) = xor(b,t2),
inference(subst,[],[refute_0_1913:[bind(X,$fot(b)),bind(Y,$fot(t2))]]) ).
cnf(refute_0_1915,plain,
( not(and(or(b,t4),or(t2,not(b)))) != xor(t2,b)
| xor(t2,b) != xor(b,t2)
| not(and(or(b,t4),or(t2,not(b)))) = xor(b,t2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(or(b,t4),or(t2,not(b)))),xor(b,t2)) ),[0],$fot(xor(t2,b))]]) ).
cnf(refute_0_1916,plain,
( not(and(or(b,t4),or(t2,not(b)))) != xor(t2,b)
| not(and(or(b,t4),or(t2,not(b)))) = xor(b,t2) ),
inference(resolve,[$cnf( $equal(xor(t2,b),xor(b,t2)) )],[refute_0_1914,refute_0_1915]) ).
cnf(refute_0_1917,plain,
( or(not(or(b,t4)),and(not(t2),b)) != xor(t2,b)
| not(and(or(b,t4),or(t2,not(b)))) = xor(b,t2) ),
inference(resolve,[$cnf( $equal(not(and(or(b,t4),or(t2,not(b)))),xor(t2,b)) )],[refute_0_1911,refute_0_1916]) ).
cnf(refute_0_1918,plain,
not(and(or(b,t4),or(t2,not(b)))) = xor(b,t2),
inference(resolve,[$cnf( $equal(or(not(or(b,t4)),and(not(t2),b)),xor(t2,b)) )],[refute_0_1908,refute_0_1917]) ).
cnf(refute_0_1919,plain,
( not(and(or(b,t4),or(t2,not(b)))) != xor(b,t2)
| not(not(and(or(b,t4),or(t2,not(b))))) != and(or(b,t4),or(t2,not(b)))
| not(xor(b,t2)) = and(or(b,t4),or(t2,not(b))) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(or(b,t4),or(t2,not(b))))),and(or(b,t4),or(t2,not(b)))) ),[0,0],$fot(xor(b,t2))]]) ).
cnf(refute_0_1920,plain,
( not(not(and(or(b,t4),or(t2,not(b))))) != and(or(b,t4),or(t2,not(b)))
| not(xor(b,t2)) = and(or(b,t4),or(t2,not(b))) ),
inference(resolve,[$cnf( $equal(not(and(or(b,t4),or(t2,not(b)))),xor(b,t2)) )],[refute_0_1918,refute_0_1919]) ).
cnf(refute_0_1921,plain,
not(xor(b,t2)) = and(or(b,t4),or(t2,not(b))),
inference(resolve,[$cnf( $equal(not(not(and(or(b,t4),or(t2,not(b))))),and(or(b,t4),or(t2,not(b)))) )],[refute_0_1876,refute_0_1920]) ).
cnf(refute_0_1922,plain,
and(or(b,t4),ll1) = or(b,t4),
inference(subst,[],[and_identity:[bind(X,$fot(or(b,t4)))]]) ).
cnf(refute_0_1923,plain,
not(and(not(t2),b)) = not(and(b,not(t2))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(b)),bind(X_32,$fot(not(t2)))]]) ).
cnf(refute_0_1924,plain,
and(and(a,t1),X_222) = and(a,and(t1,X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(a)),bind(Y,$fot(t1)),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_1925,plain,
( and(a,t1) != not(t2)
| and(and(a,t1),X_222) != and(a,and(t1,X_222))
| and(not(t2),X_222) = and(a,and(t1,X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(a,t1),X_222),and(a,and(t1,X_222))) ),[0,0],$fot(not(t2))]]) ).
cnf(refute_0_1926,plain,
( and(and(a,t1),X_222) != and(a,and(t1,X_222))
| and(not(t2),X_222) = and(a,and(t1,X_222)) ),
inference(resolve,[$cnf( $equal(and(a,t1),not(t2)) )],[refute_0_284,refute_0_1925]) ).
cnf(refute_0_1927,plain,
and(not(t2),X_222) = and(a,and(t1,X_222)),
inference(resolve,[$cnf( $equal(and(and(a,t1),X_222),and(a,and(t1,X_222))) )],[refute_0_1924,refute_0_1926]) ).
cnf(refute_0_1928,plain,
and(not(t2),b) = and(a,and(t1,b)),
inference(subst,[],[refute_0_1927:[bind(X_222,$fot(b))]]) ).
cnf(refute_0_1929,plain,
and(and(a,b),X_222) = and(a,and(b,X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(a)),bind(Y,$fot(b)),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_1930,plain,
( and(a,b) != not(t1)
| and(and(a,b),X_222) != and(a,and(b,X_222))
| and(not(t1),X_222) = and(a,and(b,X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(a,b),X_222),and(a,and(b,X_222))) ),[0,0],$fot(not(t1))]]) ).
cnf(refute_0_1931,plain,
( and(and(a,b),X_222) != and(a,and(b,X_222))
| and(not(t1),X_222) = and(a,and(b,X_222)) ),
inference(resolve,[$cnf( $equal(and(a,b),not(t1)) )],[refute_0_318,refute_0_1930]) ).
cnf(refute_0_1932,plain,
and(not(t1),X_222) = and(a,and(b,X_222)),
inference(resolve,[$cnf( $equal(and(and(a,b),X_222),and(a,and(b,X_222))) )],[refute_0_1929,refute_0_1931]) ).
cnf(refute_0_1933,plain,
and(not(t1),X_233) = and(a,and(b,X_233)),
inference(subst,[],[refute_0_1932:[bind(X_222,$fot(X_233))]]) ).
cnf(refute_0_1934,plain,
and(X_233,b) = and(b,X_233),
inference(subst,[],[and_commutative:[bind(X,$fot(X_233)),bind(Y,$fot(b))]]) ).
cnf(refute_0_1935,plain,
( and(X_233,b) != and(b,X_233)
| and(b,X_233) = and(X_233,b) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X_233,b))),bind(Y0,$fot(and(b,X_233)))]]) ).
cnf(refute_0_1936,plain,
and(b,X_233) = and(X_233,b),
inference(resolve,[$cnf( $equal(and(X_233,b),and(b,X_233)) )],[refute_0_1934,refute_0_1935]) ).
cnf(refute_0_1937,plain,
( and(b,X_233) != and(X_233,b)
| and(not(t1),X_233) != and(a,and(b,X_233))
| and(not(t1),X_233) = and(a,and(X_233,b)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t1),X_233),and(a,and(b,X_233))) ),[1,1],$fot(and(X_233,b))]]) ).
cnf(refute_0_1938,plain,
( and(not(t1),X_233) != and(a,and(b,X_233))
| and(not(t1),X_233) = and(a,and(X_233,b)) ),
inference(resolve,[$cnf( $equal(and(b,X_233),and(X_233,b)) )],[refute_0_1936,refute_0_1937]) ).
cnf(refute_0_1939,plain,
and(not(t1),X_233) = and(a,and(X_233,b)),
inference(resolve,[$cnf( $equal(and(not(t1),X_233),and(a,and(b,X_233))) )],[refute_0_1933,refute_0_1938]) ).
cnf(refute_0_1940,plain,
and(not(t1),t1) = and(a,and(t1,b)),
inference(subst,[],[refute_0_1939:[bind(X_233,$fot(t1))]]) ).
cnf(refute_0_1941,plain,
( and(not(t1),t1) != and(a,and(t1,b))
| and(a,and(t1,b)) = and(not(t1),t1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t1),t1))),bind(Y0,$fot(and(a,and(t1,b))))]]) ).
cnf(refute_0_1942,plain,
and(a,and(t1,b)) = and(not(t1),t1),
inference(resolve,[$cnf( $equal(and(not(t1),t1),and(a,and(t1,b))) )],[refute_0_1940,refute_0_1941]) ).
cnf(refute_0_1943,plain,
( and(a,and(t1,b)) != and(not(t1),t1)
| and(not(t2),b) != and(a,and(t1,b))
| and(not(t2),b) = and(not(t1),t1) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),b),and(a,and(t1,b))) ),[1],$fot(and(not(t1),t1))]]) ).
cnf(refute_0_1944,plain,
( and(not(t2),b) != and(a,and(t1,b))
| and(not(t2),b) = and(not(t1),t1) ),
inference(resolve,[$cnf( $equal(and(a,and(t1,b)),and(not(t1),t1)) )],[refute_0_1942,refute_0_1943]) ).
cnf(refute_0_1945,plain,
and(not(t2),b) = and(not(t1),t1),
inference(resolve,[$cnf( $equal(and(not(t2),b),and(a,and(t1,b))) )],[refute_0_1928,refute_0_1944]) ).
cnf(refute_0_1946,plain,
and(not(t2),b) = and(b,not(t2)),
inference(subst,[],[refute_0_116:[bind(X,$fot(b)),bind(Y,$fot(not(t2)))]]) ).
cnf(refute_0_1947,plain,
( and(not(t2),b) != and(b,not(t2))
| and(not(t2),b) != and(not(t1),t1)
| and(b,not(t2)) = and(not(t1),t1) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),b),and(not(t1),t1)) ),[0],$fot(and(b,not(t2)))]]) ).
cnf(refute_0_1948,plain,
( and(not(t2),b) != and(not(t1),t1)
| and(b,not(t2)) = and(not(t1),t1) ),
inference(resolve,[$cnf( $equal(and(not(t2),b),and(b,not(t2))) )],[refute_0_1946,refute_0_1947]) ).
cnf(refute_0_1949,plain,
and(t1,not(t1)) = ll0,
inference(subst,[],[and_complement:[bind(X,$fot(t1))]]) ).
cnf(refute_0_1950,plain,
and(not(t1),t1) = and(t1,not(t1)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t1)),bind(Y,$fot(not(t1)))]]) ).
cnf(refute_0_1951,plain,
( and(not(t1),t1) != and(t1,not(t1))
| and(t1,not(t1)) != ll0
| and(not(t1),t1) = ll0 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t1),t1))),bind(Y0,$fot(and(t1,not(t1)))),bind(Z0,$fot(ll0))]]) ).
cnf(refute_0_1952,plain,
( and(t1,not(t1)) != ll0
| and(not(t1),t1) = ll0 ),
inference(resolve,[$cnf( $equal(and(not(t1),t1),and(t1,not(t1))) )],[refute_0_1950,refute_0_1951]) ).
cnf(refute_0_1953,plain,
and(not(t1),t1) = ll0,
inference(resolve,[$cnf( $equal(and(t1,not(t1)),ll0) )],[refute_0_1949,refute_0_1952]) ).
cnf(refute_0_1954,plain,
( and(b,not(t2)) != and(not(t1),t1)
| and(not(t1),t1) != ll0
| and(b,not(t2)) = ll0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(b,not(t2)),ll0) ),[0],$fot(and(not(t1),t1))]]) ).
cnf(refute_0_1955,plain,
( and(b,not(t2)) != and(not(t1),t1)
| and(b,not(t2)) = ll0 ),
inference(resolve,[$cnf( $equal(and(not(t1),t1),ll0) )],[refute_0_1953,refute_0_1954]) ).
cnf(refute_0_1956,plain,
( and(not(t2),b) != and(not(t1),t1)
| and(b,not(t2)) = ll0 ),
inference(resolve,[$cnf( $equal(and(b,not(t2)),and(not(t1),t1)) )],[refute_0_1948,refute_0_1955]) ).
cnf(refute_0_1957,plain,
and(b,not(t2)) = ll0,
inference(resolve,[$cnf( $equal(and(not(t2),b),and(not(t1),t1)) )],[refute_0_1945,refute_0_1956]) ).
cnf(refute_0_1958,plain,
( and(b,not(t2)) != ll0
| not(and(not(t2),b)) != not(and(b,not(t2)))
| not(and(not(t2),b)) = not(ll0) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t2),b)),not(and(b,not(t2)))) ),[1,0],$fot(ll0)]]) ).
cnf(refute_0_1959,plain,
( not(and(not(t2),b)) != not(and(b,not(t2)))
| not(and(not(t2),b)) = not(ll0) ),
inference(resolve,[$cnf( $equal(and(b,not(t2)),ll0) )],[refute_0_1957,refute_0_1958]) ).
cnf(refute_0_1960,plain,
not(and(not(t2),b)) = not(ll0),
inference(resolve,[$cnf( $equal(not(and(not(t2),b)),not(and(b,not(t2)))) )],[refute_0_1923,refute_0_1959]) ).
cnf(refute_0_1961,plain,
not(and(not(t2),b)) = or(t2,not(b)),
inference(subst,[],[refute_0_787:[bind(X,$fot(t2)),bind(X_32,$fot(b))]]) ).
cnf(refute_0_1962,plain,
( not(and(not(t2),b)) != not(ll0)
| not(and(not(t2),b)) != or(t2,not(b))
| or(t2,not(b)) = not(ll0) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t2),b)),not(ll0)) ),[0],$fot(or(t2,not(b)))]]) ).
cnf(refute_0_1963,plain,
( not(and(not(t2),b)) != not(ll0)
| or(t2,not(b)) = not(ll0) ),
inference(resolve,[$cnf( $equal(not(and(not(t2),b)),or(t2,not(b))) )],[refute_0_1961,refute_0_1962]) ).
cnf(refute_0_1964,plain,
( not(ll0) != ll1
| or(t2,not(b)) != not(ll0)
| or(t2,not(b)) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,not(b)),not(ll0)) ),[1],$fot(ll1)]]) ).
cnf(refute_0_1965,plain,
( or(t2,not(b)) != not(ll0)
| or(t2,not(b)) = ll1 ),
inference(resolve,[$cnf( $equal(not(ll0),ll1) )],[ll0_inverse,refute_0_1964]) ).
cnf(refute_0_1966,plain,
( not(and(not(t2),b)) != not(ll0)
| or(t2,not(b)) = ll1 ),
inference(resolve,[$cnf( $equal(or(t2,not(b)),not(ll0)) )],[refute_0_1963,refute_0_1965]) ).
cnf(refute_0_1967,plain,
or(t2,not(b)) = ll1,
inference(resolve,[$cnf( $equal(not(and(not(t2),b)),not(ll0)) )],[refute_0_1960,refute_0_1966]) ).
cnf(refute_0_1968,plain,
and(or(b,t4),or(t2,not(b))) = and(or(b,t4),or(t2,not(b))),
introduced(tautology,[refl,[$fot(and(or(b,t4),or(t2,not(b))))]]) ).
cnf(refute_0_1969,plain,
( and(or(b,t4),or(t2,not(b))) != and(or(b,t4),or(t2,not(b)))
| or(t2,not(b)) != ll1
| and(or(b,t4),or(t2,not(b))) = and(or(b,t4),ll1) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(b,t4),or(t2,not(b))),and(or(b,t4),or(t2,not(b)))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_1970,plain,
( or(t2,not(b)) != ll1
| and(or(b,t4),or(t2,not(b))) = and(or(b,t4),ll1) ),
inference(resolve,[$cnf( $equal(and(or(b,t4),or(t2,not(b))),and(or(b,t4),or(t2,not(b)))) )],[refute_0_1968,refute_0_1969]) ).
cnf(refute_0_1971,plain,
and(or(b,t4),or(t2,not(b))) = and(or(b,t4),ll1),
inference(resolve,[$cnf( $equal(or(t2,not(b)),ll1) )],[refute_0_1967,refute_0_1970]) ).
cnf(refute_0_1972,plain,
( and(or(b,t4),ll1) != or(b,t4)
| and(or(b,t4),or(t2,not(b))) != and(or(b,t4),ll1)
| and(or(b,t4),or(t2,not(b))) = or(b,t4) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(or(b,t4),or(t2,not(b))))),bind(Y0,$fot(and(or(b,t4),ll1))),bind(Z0,$fot(or(b,t4)))]]) ).
cnf(refute_0_1973,plain,
( and(or(b,t4),ll1) != or(b,t4)
| and(or(b,t4),or(t2,not(b))) = or(b,t4) ),
inference(resolve,[$cnf( $equal(and(or(b,t4),or(t2,not(b))),and(or(b,t4),ll1)) )],[refute_0_1971,refute_0_1972]) ).
cnf(refute_0_1974,plain,
and(or(b,t4),or(t2,not(b))) = or(b,t4),
inference(resolve,[$cnf( $equal(and(or(b,t4),ll1),or(b,t4)) )],[refute_0_1922,refute_0_1973]) ).
cnf(refute_0_1975,plain,
( and(or(b,t4),or(t2,not(b))) != or(b,t4)
| not(xor(b,t2)) != and(or(b,t4),or(t2,not(b)))
| not(xor(b,t2)) = or(b,t4) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(b,t2)),and(or(b,t4),or(t2,not(b)))) ),[1],$fot(or(b,t4))]]) ).
cnf(refute_0_1976,plain,
( not(xor(b,t2)) != and(or(b,t4),or(t2,not(b)))
| not(xor(b,t2)) = or(b,t4) ),
inference(resolve,[$cnf( $equal(and(or(b,t4),or(t2,not(b))),or(b,t4)) )],[refute_0_1974,refute_0_1975]) ).
cnf(refute_0_1977,plain,
not(xor(b,t2)) = or(b,t4),
inference(resolve,[$cnf( $equal(not(xor(b,t2)),and(or(b,t4),or(t2,not(b)))) )],[refute_0_1921,refute_0_1976]) ).
cnf(refute_0_1978,plain,
not(xor(t2,b)) = not(xor(t2,b)),
introduced(tautology,[refl,[$fot(not(xor(t2,b)))]]) ).
cnf(refute_0_1979,plain,
( not(xor(t2,b)) != not(xor(t2,b))
| xor(t2,b) != xor(b,t2)
| not(xor(t2,b)) = not(xor(b,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t2,b)),not(xor(t2,b))) ),[1,0],$fot(xor(b,t2))]]) ).
cnf(refute_0_1980,plain,
( xor(t2,b) != xor(b,t2)
| not(xor(t2,b)) = not(xor(b,t2)) ),
inference(resolve,[$cnf( $equal(not(xor(t2,b)),not(xor(t2,b))) )],[refute_0_1978,refute_0_1979]) ).
cnf(refute_0_1981,plain,
not(xor(t2,b)) = not(xor(b,t2)),
inference(resolve,[$cnf( $equal(xor(t2,b),xor(b,t2)) )],[refute_0_1914,refute_0_1980]) ).
cnf(refute_0_1982,plain,
( not(xor(b,t2)) != or(b,t4)
| not(xor(t2,b)) != not(xor(b,t2))
| not(xor(t2,b)) = or(b,t4) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t2,b)))),bind(Y0,$fot(not(xor(b,t2)))),bind(Z0,$fot(or(b,t4)))]]) ).
cnf(refute_0_1983,plain,
( not(xor(b,t2)) != or(b,t4)
| not(xor(t2,b)) = or(b,t4) ),
inference(resolve,[$cnf( $equal(not(xor(t2,b)),not(xor(b,t2))) )],[refute_0_1981,refute_0_1982]) ).
cnf(refute_0_1984,plain,
not(xor(t2,b)) = or(b,t4),
inference(resolve,[$cnf( $equal(not(xor(b,t2)),or(b,t4)) )],[refute_0_1977,refute_0_1983]) ).
cnf(refute_0_1985,plain,
( not(xor(t2,b)) != not(xor(t4,t1))
| not(xor(t2,b)) != or(b,t4)
| or(b,t4) = not(xor(t4,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t2,b)),not(xor(t4,t1))) ),[0],$fot(or(b,t4))]]) ).
cnf(refute_0_1986,plain,
( not(xor(t2,b)) != not(xor(t4,t1))
| or(b,t4) = not(xor(t4,t1)) ),
inference(resolve,[$cnf( $equal(not(xor(t2,b)),or(b,t4)) )],[refute_0_1984,refute_0_1985]) ).
cnf(refute_0_1987,plain,
xor(X,xor(carry,xor(t6,and(t5,t6)))) = xor(xor(X,carry),xor(t6,and(t5,t6))),
inference(subst,[],[xor_associative:[bind(Y,$fot(carry)),bind(Z,$fot(xor(t6,and(t5,t6))))]]) ).
cnf(refute_0_1988,plain,
xor(t1,xor(t5,xor(t6,and(t5,t6)))) = xor(carry,xor(t6,and(t5,t6))),
inference(subst,[],[refute_0_1349:[bind(X_335,$fot(xor(t6,and(t5,t6))))]]) ).
cnf(refute_0_1989,plain,
ll1 = xor(xor(t5,t6),not(xor(t5,t6))),
inference(subst,[],[refute_0_473:[bind(X_64,$fot(xor(t5,t6)))]]) ).
cnf(refute_0_1990,plain,
not(not(and(t5,t6))) = and(t5,t6),
inference(subst,[],[not_involution:[bind(X,$fot(and(t5,t6)))]]) ).
cnf(refute_0_1991,plain,
or(and(t5,not(t6)),and(not(t5),t6)) = xor(t5,t6),
inference(subst,[],[refute_0_9:[bind(X,$fot(t5)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_1992,plain,
and(not(t6),or(t5,not(t6))) = not(t6),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(not(t6))),bind(X_20,$fot(t5))]]) ).
cnf(refute_0_1993,plain,
or(t5,and(t4,t5)) = t5,
inference(subst,[],[refute_0_222:[bind(X_13,$fot(t5)),bind(X_14,$fot(t4))]]) ).
cnf(refute_0_1994,plain,
( and(t4,t5) != not(t6)
| or(t5,and(t4,t5)) != t5
| or(t5,not(t6)) = t5 ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,and(t4,t5)),t5) ),[0,1],$fot(not(t6))]]) ).
cnf(refute_0_1995,plain,
( or(t5,and(t4,t5)) != t5
| or(t5,not(t6)) = t5 ),
inference(resolve,[$cnf( $equal(and(t4,t5),not(t6)) )],[refute_0_664,refute_0_1994]) ).
cnf(refute_0_1996,plain,
or(t5,not(t6)) = t5,
inference(resolve,[$cnf( $equal(or(t5,and(t4,t5)),t5) )],[refute_0_1993,refute_0_1995]) ).
cnf(refute_0_1997,plain,
( and(not(t6),or(t5,not(t6))) != not(t6)
| or(t5,not(t6)) != t5
| and(not(t6),t5) = not(t6) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),or(t5,not(t6))),not(t6)) ),[0,1],$fot(t5)]]) ).
cnf(refute_0_1998,plain,
( and(not(t6),or(t5,not(t6))) != not(t6)
| and(not(t6),t5) = not(t6) ),
inference(resolve,[$cnf( $equal(or(t5,not(t6)),t5) )],[refute_0_1996,refute_0_1997]) ).
cnf(refute_0_1999,plain,
and(not(t6),t5) = not(t6),
inference(resolve,[$cnf( $equal(and(not(t6),or(t5,not(t6))),not(t6)) )],[refute_0_1992,refute_0_1998]) ).
cnf(refute_0_2000,plain,
and(not(t6),t5) = and(t5,not(t6)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t5)),bind(Y,$fot(not(t6)))]]) ).
cnf(refute_0_2001,plain,
( and(not(t6),t5) != and(t5,not(t6))
| and(not(t6),t5) != not(t6)
| and(t5,not(t6)) = not(t6) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),t5),not(t6)) ),[0],$fot(and(t5,not(t6)))]]) ).
cnf(refute_0_2002,plain,
( and(not(t6),t5) != not(t6)
| and(t5,not(t6)) = not(t6) ),
inference(resolve,[$cnf( $equal(and(not(t6),t5),and(t5,not(t6))) )],[refute_0_2000,refute_0_2001]) ).
cnf(refute_0_2003,plain,
and(t5,not(t6)) = not(t6),
inference(resolve,[$cnf( $equal(and(not(t6),t5),not(t6)) )],[refute_0_1999,refute_0_2002]) ).
cnf(refute_0_2004,plain,
( and(t5,not(t6)) != not(t6)
| or(and(t5,not(t6)),and(not(t5),t6)) != xor(t5,t6)
| or(not(t6),and(not(t5),t6)) = xor(t5,t6) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t5,not(t6)),and(not(t5),t6)),xor(t5,t6)) ),[0,0],$fot(not(t6))]]) ).
cnf(refute_0_2005,plain,
( or(and(t5,not(t6)),and(not(t5),t6)) != xor(t5,t6)
| or(not(t6),and(not(t5),t6)) = xor(t5,t6) ),
inference(resolve,[$cnf( $equal(and(t5,not(t6)),not(t6)) )],[refute_0_2003,refute_0_2004]) ).
cnf(refute_0_2006,plain,
or(not(t6),and(not(t5),t6)) = xor(t5,t6),
inference(resolve,[$cnf( $equal(or(and(t5,not(t6)),and(not(t5),t6)),xor(t5,t6)) )],[refute_0_1991,refute_0_2005]) ).
cnf(refute_0_2007,plain,
not(and(t6,t5)) = not(and(t5,t6)),
inference(subst,[],[refute_0_333:[bind(X_31,$fot(t6)),bind(X_32,$fot(t5))]]) ).
cnf(refute_0_2008,plain,
or(not(t6),not(t5)) = not(and(t6,t5)),
inference(subst,[],[refute_0_147:[bind(X,$fot(t6)),bind(Y,$fot(t5))]]) ).
cnf(refute_0_2009,plain,
( not(and(t6,t5)) != not(and(t5,t6))
| or(not(t6),not(t5)) != not(and(t6,t5))
| or(not(t6),not(t5)) = not(and(t5,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t6),not(t5)))),bind(Y0,$fot(not(and(t6,t5)))),bind(Z0,$fot(not(and(t5,t6))))]]) ).
cnf(refute_0_2010,plain,
( not(and(t6,t5)) != not(and(t5,t6))
| or(not(t6),not(t5)) = not(and(t5,t6)) ),
inference(resolve,[$cnf( $equal(or(not(t6),not(t5)),not(and(t6,t5))) )],[refute_0_2008,refute_0_2009]) ).
cnf(refute_0_2011,plain,
or(not(t6),not(t5)) = not(and(t5,t6)),
inference(resolve,[$cnf( $equal(not(and(t6,t5)),not(and(t5,t6))) )],[refute_0_2007,refute_0_2010]) ).
cnf(refute_0_2012,plain,
not(or(not(t6),t5)) = not(or(t5,not(t6))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(t5)),bind(X_26,$fot(not(t6)))]]) ).
cnf(refute_0_2013,plain,
( not(or(not(t6),t5)) != not(or(t5,not(t6)))
| or(t5,not(t6)) != t5
| not(or(not(t6),t5)) = not(t5) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(t6),t5)),not(or(t5,not(t6)))) ),[1,0],$fot(t5)]]) ).
cnf(refute_0_2014,plain,
( not(or(not(t6),t5)) != not(or(t5,not(t6)))
| not(or(not(t6),t5)) = not(t5) ),
inference(resolve,[$cnf( $equal(or(t5,not(t6)),t5) )],[refute_0_1996,refute_0_2013]) ).
cnf(refute_0_2015,plain,
not(or(not(t6),t5)) = not(t5),
inference(resolve,[$cnf( $equal(not(or(not(t6),t5)),not(or(t5,not(t6)))) )],[refute_0_2012,refute_0_2014]) ).
cnf(refute_0_2016,plain,
not(or(not(t6),t5)) = and(t6,not(t5)),
inference(subst,[],[refute_0_159:[bind(X,$fot(t6)),bind(X_26,$fot(t5))]]) ).
cnf(refute_0_2017,plain,
( not(or(not(t6),t5)) != and(t6,not(t5))
| not(or(not(t6),t5)) != not(t5)
| and(t6,not(t5)) = not(t5) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(t6),t5)),not(t5)) ),[0],$fot(and(t6,not(t5)))]]) ).
cnf(refute_0_2018,plain,
( not(or(not(t6),t5)) != not(t5)
| and(t6,not(t5)) = not(t5) ),
inference(resolve,[$cnf( $equal(not(or(not(t6),t5)),and(t6,not(t5))) )],[refute_0_2016,refute_0_2017]) ).
cnf(refute_0_2019,plain,
and(t6,not(t5)) = not(t5),
inference(resolve,[$cnf( $equal(not(or(not(t6),t5)),not(t5)) )],[refute_0_2015,refute_0_2018]) ).
cnf(refute_0_2020,plain,
and(not(t5),t6) = and(t6,not(t5)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t6)),bind(Y,$fot(not(t5)))]]) ).
cnf(refute_0_2021,plain,
( and(not(t5),t6) != and(t6,not(t5))
| and(t6,not(t5)) != not(t5)
| and(not(t5),t6) = not(t5) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t5),t6))),bind(Y0,$fot(and(t6,not(t5)))),bind(Z0,$fot(not(t5)))]]) ).
cnf(refute_0_2022,plain,
( and(t6,not(t5)) != not(t5)
| and(not(t5),t6) = not(t5) ),
inference(resolve,[$cnf( $equal(and(not(t5),t6),and(t6,not(t5))) )],[refute_0_2020,refute_0_2021]) ).
cnf(refute_0_2023,plain,
and(not(t5),t6) = not(t5),
inference(resolve,[$cnf( $equal(and(t6,not(t5)),not(t5)) )],[refute_0_2019,refute_0_2022]) ).
cnf(refute_0_2024,plain,
or(not(t6),and(not(t5),t6)) = or(not(t6),and(not(t5),t6)),
introduced(tautology,[refl,[$fot(or(not(t6),and(not(t5),t6)))]]) ).
cnf(refute_0_2025,plain,
( and(not(t5),t6) != not(t5)
| or(not(t6),and(not(t5),t6)) != or(not(t6),and(not(t5),t6))
| or(not(t6),and(not(t5),t6)) = or(not(t6),not(t5)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t6),and(not(t5),t6)),or(not(t6),and(not(t5),t6))) ),[1,1],$fot(not(t5))]]) ).
cnf(refute_0_2026,plain,
( and(not(t5),t6) != not(t5)
| or(not(t6),and(not(t5),t6)) = or(not(t6),not(t5)) ),
inference(resolve,[$cnf( $equal(or(not(t6),and(not(t5),t6)),or(not(t6),and(not(t5),t6))) )],[refute_0_2024,refute_0_2025]) ).
cnf(refute_0_2027,plain,
or(not(t6),and(not(t5),t6)) = or(not(t6),not(t5)),
inference(resolve,[$cnf( $equal(and(not(t5),t6),not(t5)) )],[refute_0_2023,refute_0_2026]) ).
cnf(refute_0_2028,plain,
( or(not(t6),and(not(t5),t6)) != or(not(t6),not(t5))
| or(not(t6),not(t5)) != not(and(t5,t6))
| or(not(t6),and(not(t5),t6)) = not(and(t5,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t6),and(not(t5),t6)))),bind(Y0,$fot(or(not(t6),not(t5)))),bind(Z0,$fot(not(and(t5,t6))))]]) ).
cnf(refute_0_2029,plain,
( or(not(t6),not(t5)) != not(and(t5,t6))
| or(not(t6),and(not(t5),t6)) = not(and(t5,t6)) ),
inference(resolve,[$cnf( $equal(or(not(t6),and(not(t5),t6)),or(not(t6),not(t5))) )],[refute_0_2027,refute_0_2028]) ).
cnf(refute_0_2030,plain,
or(not(t6),and(not(t5),t6)) = not(and(t5,t6)),
inference(resolve,[$cnf( $equal(or(not(t6),not(t5)),not(and(t5,t6))) )],[refute_0_2011,refute_0_2029]) ).
cnf(refute_0_2031,plain,
( or(not(t6),and(not(t5),t6)) != not(and(t5,t6))
| or(not(t6),and(not(t5),t6)) != xor(t5,t6)
| not(and(t5,t6)) = xor(t5,t6) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t6),and(not(t5),t6)),xor(t5,t6)) ),[0],$fot(not(and(t5,t6)))]]) ).
cnf(refute_0_2032,plain,
( or(not(t6),and(not(t5),t6)) != xor(t5,t6)
| not(and(t5,t6)) = xor(t5,t6) ),
inference(resolve,[$cnf( $equal(or(not(t6),and(not(t5),t6)),not(and(t5,t6))) )],[refute_0_2030,refute_0_2031]) ).
cnf(refute_0_2033,plain,
not(and(t5,t6)) = xor(t5,t6),
inference(resolve,[$cnf( $equal(or(not(t6),and(not(t5),t6)),xor(t5,t6)) )],[refute_0_2006,refute_0_2032]) ).
cnf(refute_0_2034,plain,
( not(and(t5,t6)) != xor(t5,t6)
| not(not(and(t5,t6))) != and(t5,t6)
| not(xor(t5,t6)) = and(t5,t6) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(t5,t6))),and(t5,t6)) ),[0,0],$fot(xor(t5,t6))]]) ).
cnf(refute_0_2035,plain,
( not(not(and(t5,t6))) != and(t5,t6)
| not(xor(t5,t6)) = and(t5,t6) ),
inference(resolve,[$cnf( $equal(not(and(t5,t6)),xor(t5,t6)) )],[refute_0_2033,refute_0_2034]) ).
cnf(refute_0_2036,plain,
not(xor(t5,t6)) = and(t5,t6),
inference(resolve,[$cnf( $equal(not(not(and(t5,t6))),and(t5,t6)) )],[refute_0_1990,refute_0_2035]) ).
cnf(refute_0_2037,plain,
( ll1 != xor(xor(t5,t6),not(xor(t5,t6)))
| not(xor(t5,t6)) != and(t5,t6)
| ll1 = xor(xor(t5,t6),and(t5,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,xor(xor(t5,t6),not(xor(t5,t6)))) ),[1,1],$fot(and(t5,t6))]]) ).
cnf(refute_0_2038,plain,
( ll1 != xor(xor(t5,t6),not(xor(t5,t6)))
| ll1 = xor(xor(t5,t6),and(t5,t6)) ),
inference(resolve,[$cnf( $equal(not(xor(t5,t6)),and(t5,t6)) )],[refute_0_2036,refute_0_2037]) ).
cnf(refute_0_2039,plain,
ll1 = xor(xor(t5,t6),and(t5,t6)),
inference(resolve,[$cnf( $equal(ll1,xor(xor(t5,t6),not(xor(t5,t6)))) )],[refute_0_1989,refute_0_2038]) ).
cnf(refute_0_2040,plain,
xor(xor(t5,t6),and(t5,t6)) = xor(t5,xor(t6,and(t5,t6))),
inference(subst,[],[refute_0_526:[bind(X,$fot(t5)),bind(Y,$fot(t6)),bind(Z,$fot(and(t5,t6)))]]) ).
cnf(refute_0_2041,plain,
( ll1 != xor(xor(t5,t6),and(t5,t6))
| xor(xor(t5,t6),and(t5,t6)) != xor(t5,xor(t6,and(t5,t6)))
| ll1 = xor(t5,xor(t6,and(t5,t6))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll1,xor(t5,xor(t6,and(t5,t6)))) ),[0],$fot(xor(xor(t5,t6),and(t5,t6)))]]) ).
cnf(refute_0_2042,plain,
( ll1 != xor(xor(t5,t6),and(t5,t6))
| ll1 = xor(t5,xor(t6,and(t5,t6))) ),
inference(resolve,[$cnf( $equal(xor(xor(t5,t6),and(t5,t6)),xor(t5,xor(t6,and(t5,t6)))) )],[refute_0_2040,refute_0_2041]) ).
cnf(refute_0_2043,plain,
ll1 = xor(t5,xor(t6,and(t5,t6))),
inference(resolve,[$cnf( $equal(ll1,xor(xor(t5,t6),and(t5,t6))) )],[refute_0_2039,refute_0_2042]) ).
cnf(refute_0_2044,plain,
( ll1 != xor(t5,xor(t6,and(t5,t6)))
| xor(t5,xor(t6,and(t5,t6))) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(xor(t5,xor(t6,and(t5,t6)))))]]) ).
cnf(refute_0_2045,plain,
xor(t5,xor(t6,and(t5,t6))) = ll1,
inference(resolve,[$cnf( $equal(ll1,xor(t5,xor(t6,and(t5,t6)))) )],[refute_0_2043,refute_0_2044]) ).
cnf(refute_0_2046,plain,
( xor(t1,xor(t5,xor(t6,and(t5,t6)))) != xor(carry,xor(t6,and(t5,t6)))
| xor(t5,xor(t6,and(t5,t6))) != ll1
| xor(t1,ll1) = xor(carry,xor(t6,and(t5,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,xor(t5,xor(t6,and(t5,t6)))),xor(carry,xor(t6,and(t5,t6)))) ),[0,1],$fot(ll1)]]) ).
cnf(refute_0_2047,plain,
( xor(t1,xor(t5,xor(t6,and(t5,t6)))) != xor(carry,xor(t6,and(t5,t6)))
| xor(t1,ll1) = xor(carry,xor(t6,and(t5,t6))) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(t6,and(t5,t6))),ll1) )],[refute_0_2045,refute_0_2046]) ).
cnf(refute_0_2048,plain,
xor(t1,ll1) = xor(carry,xor(t6,and(t5,t6))),
inference(resolve,[$cnf( $equal(xor(t1,xor(t5,xor(t6,and(t5,t6)))),xor(carry,xor(t6,and(t5,t6)))) )],[refute_0_1988,refute_0_2047]) ).
cnf(refute_0_2049,plain,
xor(t1,ll1) = not(t1),
inference(subst,[],[refute_0_587:[bind(X_63,$fot(t1))]]) ).
cnf(refute_0_2050,plain,
( xor(t1,ll1) != not(t1)
| xor(t1,ll1) != xor(carry,xor(t6,and(t5,t6)))
| not(t1) = xor(carry,xor(t6,and(t5,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,ll1),xor(carry,xor(t6,and(t5,t6)))) ),[0],$fot(not(t1))]]) ).
cnf(refute_0_2051,plain,
( xor(t1,ll1) != xor(carry,xor(t6,and(t5,t6)))
| not(t1) = xor(carry,xor(t6,and(t5,t6))) ),
inference(resolve,[$cnf( $equal(xor(t1,ll1),not(t1)) )],[refute_0_2049,refute_0_2050]) ).
cnf(refute_0_2052,plain,
not(t1) = xor(carry,xor(t6,and(t5,t6))),
inference(resolve,[$cnf( $equal(xor(t1,ll1),xor(carry,xor(t6,and(t5,t6)))) )],[refute_0_2048,refute_0_2051]) ).
cnf(refute_0_2053,plain,
( not(t1) != xor(carry,xor(t6,and(t5,t6)))
| xor(carry,xor(t6,and(t5,t6))) = not(t1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t1))),bind(Y0,$fot(xor(carry,xor(t6,and(t5,t6)))))]]) ).
cnf(refute_0_2054,plain,
xor(carry,xor(t6,and(t5,t6))) = not(t1),
inference(resolve,[$cnf( $equal(not(t1),xor(carry,xor(t6,and(t5,t6)))) )],[refute_0_2052,refute_0_2053]) ).
cnf(refute_0_2055,plain,
( xor(X,xor(carry,xor(t6,and(t5,t6)))) != xor(xor(X,carry),xor(t6,and(t5,t6)))
| xor(carry,xor(t6,and(t5,t6))) != not(t1)
| xor(X,not(t1)) = xor(xor(X,carry),xor(t6,and(t5,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,xor(carry,xor(t6,and(t5,t6)))),xor(xor(X,carry),xor(t6,and(t5,t6)))) ),[0,1],$fot(not(t1))]]) ).
cnf(refute_0_2056,plain,
( xor(X,xor(carry,xor(t6,and(t5,t6)))) != xor(xor(X,carry),xor(t6,and(t5,t6)))
| xor(X,not(t1)) = xor(xor(X,carry),xor(t6,and(t5,t6))) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(t6,and(t5,t6))),not(t1)) )],[refute_0_2054,refute_0_2055]) ).
cnf(refute_0_2057,plain,
xor(X,not(t1)) = xor(xor(X,carry),xor(t6,and(t5,t6))),
inference(resolve,[$cnf( $equal(xor(X,xor(carry,xor(t6,and(t5,t6)))),xor(xor(X,carry),xor(t6,and(t5,t6)))) )],[refute_0_1987,refute_0_2056]) ).
cnf(refute_0_2058,plain,
xor(X,not(t1)) = not(xor(X,t1)),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(X)),bind(X_334,$fot(t1))]]) ).
cnf(refute_0_2059,plain,
( xor(X,not(t1)) != not(xor(X,t1))
| xor(X,not(t1)) != xor(xor(X,carry),xor(t6,and(t5,t6)))
| not(xor(X,t1)) = xor(xor(X,carry),xor(t6,and(t5,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,not(t1)),xor(xor(X,carry),xor(t6,and(t5,t6)))) ),[0],$fot(not(xor(X,t1)))]]) ).
cnf(refute_0_2060,plain,
( xor(X,not(t1)) != xor(xor(X,carry),xor(t6,and(t5,t6)))
| not(xor(X,t1)) = xor(xor(X,carry),xor(t6,and(t5,t6))) ),
inference(resolve,[$cnf( $equal(xor(X,not(t1)),not(xor(X,t1))) )],[refute_0_2058,refute_0_2059]) ).
cnf(refute_0_2061,plain,
xor(carry,xor(xor(t6,and(t5,t6)),Z)) = xor(xor(carry,xor(t6,and(t5,t6))),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(carry)),bind(Y,$fot(xor(t6,and(t5,t6))))]]) ).
cnf(refute_0_2062,plain,
( xor(carry,xor(t6,and(t5,t6))) != not(t1)
| xor(carry,xor(xor(t6,and(t5,t6)),Z)) != xor(xor(carry,xor(t6,and(t5,t6))),Z)
| xor(carry,xor(xor(t6,and(t5,t6)),Z)) = xor(not(t1),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(xor(t6,and(t5,t6)),Z)),xor(xor(carry,xor(t6,and(t5,t6))),Z)) ),[1,0],$fot(not(t1))]]) ).
cnf(refute_0_2063,plain,
( xor(carry,xor(xor(t6,and(t5,t6)),Z)) != xor(xor(carry,xor(t6,and(t5,t6))),Z)
| xor(carry,xor(xor(t6,and(t5,t6)),Z)) = xor(not(t1),Z) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(t6,and(t5,t6))),not(t1)) )],[refute_0_2054,refute_0_2062]) ).
cnf(refute_0_2064,plain,
xor(carry,xor(xor(t6,and(t5,t6)),Z)) = xor(not(t1),Z),
inference(resolve,[$cnf( $equal(xor(carry,xor(xor(t6,and(t5,t6)),Z)),xor(xor(carry,xor(t6,and(t5,t6))),Z)) )],[refute_0_2061,refute_0_2063]) ).
cnf(refute_0_2065,plain,
xor(xor(t6,and(t5,t6)),Z) = xor(t6,xor(and(t5,t6),Z)),
inference(subst,[],[refute_0_526:[bind(X,$fot(t6)),bind(Y,$fot(and(t5,t6)))]]) ).
cnf(refute_0_2066,plain,
xor(carry,xor(xor(t6,and(t5,t6)),Z)) = xor(carry,xor(xor(t6,and(t5,t6)),Z)),
introduced(tautology,[refl,[$fot(xor(carry,xor(xor(t6,and(t5,t6)),Z)))]]) ).
cnf(refute_0_2067,plain,
( xor(carry,xor(xor(t6,and(t5,t6)),Z)) != xor(carry,xor(xor(t6,and(t5,t6)),Z))
| xor(xor(t6,and(t5,t6)),Z) != xor(t6,xor(and(t5,t6),Z))
| xor(carry,xor(xor(t6,and(t5,t6)),Z)) = xor(carry,xor(t6,xor(and(t5,t6),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(xor(t6,and(t5,t6)),Z)),xor(carry,xor(xor(t6,and(t5,t6)),Z))) ),[1,1],$fot(xor(t6,xor(and(t5,t6),Z)))]]) ).
cnf(refute_0_2068,plain,
( xor(xor(t6,and(t5,t6)),Z) != xor(t6,xor(and(t5,t6),Z))
| xor(carry,xor(xor(t6,and(t5,t6)),Z)) = xor(carry,xor(t6,xor(and(t5,t6),Z))) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(xor(t6,and(t5,t6)),Z)),xor(carry,xor(xor(t6,and(t5,t6)),Z))) )],[refute_0_2066,refute_0_2067]) ).
cnf(refute_0_2069,plain,
xor(carry,xor(xor(t6,and(t5,t6)),Z)) = xor(carry,xor(t6,xor(and(t5,t6),Z))),
inference(resolve,[$cnf( $equal(xor(xor(t6,and(t5,t6)),Z),xor(t6,xor(and(t5,t6),Z))) )],[refute_0_2065,refute_0_2068]) ).
cnf(refute_0_2070,plain,
( xor(carry,xor(xor(t6,and(t5,t6)),Z)) != xor(carry,xor(t6,xor(and(t5,t6),Z)))
| xor(carry,xor(xor(t6,and(t5,t6)),Z)) != xor(not(t1),Z)
| xor(carry,xor(t6,xor(and(t5,t6),Z))) = xor(not(t1),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(xor(t6,and(t5,t6)),Z)),xor(not(t1),Z)) ),[0],$fot(xor(carry,xor(t6,xor(and(t5,t6),Z))))]]) ).
cnf(refute_0_2071,plain,
( xor(carry,xor(xor(t6,and(t5,t6)),Z)) != xor(not(t1),Z)
| xor(carry,xor(t6,xor(and(t5,t6),Z))) = xor(not(t1),Z) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(xor(t6,and(t5,t6)),Z)),xor(carry,xor(t6,xor(and(t5,t6),Z)))) )],[refute_0_2069,refute_0_2070]) ).
cnf(refute_0_2072,plain,
xor(X_63,not(Y)) = not(xor(X_63,Y)),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(X_63)),bind(X_334,$fot(Y))]]) ).
cnf(refute_0_2073,plain,
( xor(X_63,not(Y)) != not(xor(X_63,Y))
| xor(not(X_63),Y) != xor(X_63,not(Y))
| xor(not(X_63),Y) = not(xor(X_63,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(not(X_63),Y),xor(X_63,not(Y))) ),[1],$fot(not(xor(X_63,Y)))]]) ).
cnf(refute_0_2074,plain,
( xor(not(X_63),Y) != xor(X_63,not(Y))
| xor(not(X_63),Y) = not(xor(X_63,Y)) ),
inference(resolve,[$cnf( $equal(xor(X_63,not(Y)),not(xor(X_63,Y))) )],[refute_0_2072,refute_0_2073]) ).
cnf(refute_0_2075,plain,
xor(not(X_63),Y) = not(xor(X_63,Y)),
inference(resolve,[$cnf( $equal(xor(not(X_63),Y),xor(X_63,not(Y))) )],[refute_0_468,refute_0_2074]) ).
cnf(refute_0_2076,plain,
xor(not(t1),Z) = not(xor(t1,Z)),
inference(subst,[],[refute_0_2075:[bind(Y,$fot(Z)),bind(X_63,$fot(t1))]]) ).
cnf(refute_0_2077,plain,
( xor(carry,xor(t6,xor(and(t5,t6),Z))) != xor(not(t1),Z)
| xor(not(t1),Z) != not(xor(t1,Z))
| xor(carry,xor(t6,xor(and(t5,t6),Z))) = not(xor(t1,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(carry,xor(t6,xor(and(t5,t6),Z))),not(xor(t1,Z))) ),[0],$fot(xor(not(t1),Z))]]) ).
cnf(refute_0_2078,plain,
( xor(carry,xor(t6,xor(and(t5,t6),Z))) != xor(not(t1),Z)
| xor(carry,xor(t6,xor(and(t5,t6),Z))) = not(xor(t1,Z)) ),
inference(resolve,[$cnf( $equal(xor(not(t1),Z),not(xor(t1,Z))) )],[refute_0_2076,refute_0_2077]) ).
cnf(refute_0_2079,plain,
( xor(carry,xor(xor(t6,and(t5,t6)),Z)) != xor(not(t1),Z)
| xor(carry,xor(t6,xor(and(t5,t6),Z))) = not(xor(t1,Z)) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(t6,xor(and(t5,t6),Z))),xor(not(t1),Z)) )],[refute_0_2071,refute_0_2078]) ).
cnf(refute_0_2080,plain,
xor(carry,xor(t6,xor(and(t5,t6),Z))) = not(xor(t1,Z)),
inference(resolve,[$cnf( $equal(xor(carry,xor(xor(t6,and(t5,t6)),Z)),xor(not(t1),Z)) )],[refute_0_2064,refute_0_2079]) ).
cnf(refute_0_2081,plain,
xor(carry,xor(t6,xor(and(t5,t6),X))) = not(xor(t1,X)),
inference(subst,[],[refute_0_2080:[bind(Z,$fot(X))]]) ).
cnf(refute_0_2082,plain,
xor(t6,xor(carry,xor(and(t5,t6),X))) = xor(carry,xor(t6,xor(and(t5,t6),X))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(carry)),bind(X_334,$fot(t6)),bind(X_335,$fot(xor(and(t5,t6),X)))]]) ).
cnf(refute_0_2083,plain,
( xor(carry,xor(t6,xor(and(t5,t6),X))) != not(xor(t1,X))
| xor(t6,xor(carry,xor(and(t5,t6),X))) != xor(carry,xor(t6,xor(and(t5,t6),X)))
| xor(t6,xor(carry,xor(and(t5,t6),X))) = not(xor(t1,X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,xor(carry,xor(and(t5,t6),X))))),bind(Y0,$fot(xor(carry,xor(t6,xor(and(t5,t6),X))))),bind(Z0,$fot(not(xor(t1,X))))]]) ).
cnf(refute_0_2084,plain,
( xor(carry,xor(t6,xor(and(t5,t6),X))) != not(xor(t1,X))
| xor(t6,xor(carry,xor(and(t5,t6),X))) = not(xor(t1,X)) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(carry,xor(and(t5,t6),X))),xor(carry,xor(t6,xor(and(t5,t6),X)))) )],[refute_0_2082,refute_0_2083]) ).
cnf(refute_0_2085,plain,
xor(t6,xor(carry,xor(and(t5,t6),X))) = not(xor(t1,X)),
inference(resolve,[$cnf( $equal(xor(carry,xor(t6,xor(and(t5,t6),X))),not(xor(t1,X))) )],[refute_0_2081,refute_0_2084]) ).
cnf(refute_0_2086,plain,
xor(and(t5,t6),xor(X,carry)) = xor(carry,xor(and(t5,t6),X)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(carry)),bind(X_333,$fot(and(t5,t6))),bind(X_334,$fot(X))]]) ).
cnf(refute_0_2087,plain,
xor(t6,xor(and(t5,t6),xor(X,carry))) = xor(t6,xor(and(t5,t6),xor(X,carry))),
introduced(tautology,[refl,[$fot(xor(t6,xor(and(t5,t6),xor(X,carry))))]]) ).
cnf(refute_0_2088,plain,
( xor(and(t5,t6),xor(X,carry)) != xor(carry,xor(and(t5,t6),X))
| xor(t6,xor(and(t5,t6),xor(X,carry))) != xor(t6,xor(and(t5,t6),xor(X,carry)))
| xor(t6,xor(and(t5,t6),xor(X,carry))) = xor(t6,xor(carry,xor(and(t5,t6),X))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,xor(and(t5,t6),xor(X,carry))),xor(t6,xor(and(t5,t6),xor(X,carry)))) ),[1,1],$fot(xor(carry,xor(and(t5,t6),X)))]]) ).
cnf(refute_0_2089,plain,
( xor(and(t5,t6),xor(X,carry)) != xor(carry,xor(and(t5,t6),X))
| xor(t6,xor(and(t5,t6),xor(X,carry))) = xor(t6,xor(carry,xor(and(t5,t6),X))) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(and(t5,t6),xor(X,carry))),xor(t6,xor(and(t5,t6),xor(X,carry)))) )],[refute_0_2087,refute_0_2088]) ).
cnf(refute_0_2090,plain,
xor(t6,xor(and(t5,t6),xor(X,carry))) = xor(t6,xor(carry,xor(and(t5,t6),X))),
inference(resolve,[$cnf( $equal(xor(and(t5,t6),xor(X,carry)),xor(carry,xor(and(t5,t6),X))) )],[refute_0_2086,refute_0_2089]) ).
cnf(refute_0_2091,plain,
( xor(t6,xor(and(t5,t6),xor(X,carry))) != xor(t6,xor(carry,xor(and(t5,t6),X)))
| xor(t6,xor(carry,xor(and(t5,t6),X))) != not(xor(t1,X))
| xor(t6,xor(and(t5,t6),xor(X,carry))) = not(xor(t1,X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,xor(and(t5,t6),xor(X,carry))))),bind(Y0,$fot(xor(t6,xor(carry,xor(and(t5,t6),X))))),bind(Z0,$fot(not(xor(t1,X))))]]) ).
cnf(refute_0_2092,plain,
( xor(t6,xor(carry,xor(and(t5,t6),X))) != not(xor(t1,X))
| xor(t6,xor(and(t5,t6),xor(X,carry))) = not(xor(t1,X)) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(and(t5,t6),xor(X,carry))),xor(t6,xor(carry,xor(and(t5,t6),X)))) )],[refute_0_2090,refute_0_2091]) ).
cnf(refute_0_2093,plain,
xor(t6,xor(and(t5,t6),xor(X,carry))) = not(xor(t1,X)),
inference(resolve,[$cnf( $equal(xor(t6,xor(carry,xor(and(t5,t6),X))),not(xor(t1,X))) )],[refute_0_2085,refute_0_2092]) ).
cnf(refute_0_2094,plain,
xor(X_335,X_334) = xor(X_334,X_335),
inference(subst,[],[xor_commutative:[bind(X,$fot(X_335)),bind(Y,$fot(X_334))]]) ).
cnf(refute_0_2095,plain,
( xor(X_335,X_334) != xor(X_334,X_335)
| xor(X_334,X_335) = xor(X_335,X_334) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X_335,X_334))),bind(Y0,$fot(xor(X_334,X_335)))]]) ).
cnf(refute_0_2096,plain,
xor(X_334,X_335) = xor(X_335,X_334),
inference(resolve,[$cnf( $equal(xor(X_335,X_334),xor(X_334,X_335)) )],[refute_0_2094,refute_0_2095]) ).
cnf(refute_0_2097,plain,
( xor(X_333,xor(X_334,X_335)) != xor(xor(X_333,X_334),X_335)
| xor(X_334,X_335) != xor(X_335,X_334)
| xor(X_333,xor(X_335,X_334)) = xor(xor(X_333,X_334),X_335) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,xor(X_334,X_335)),xor(xor(X_333,X_334),X_335)) ),[0,1],$fot(xor(X_335,X_334))]]) ).
cnf(refute_0_2098,plain,
( xor(X_333,xor(X_334,X_335)) != xor(xor(X_333,X_334),X_335)
| xor(X_333,xor(X_335,X_334)) = xor(xor(X_333,X_334),X_335) ),
inference(resolve,[$cnf( $equal(xor(X_334,X_335),xor(X_335,X_334)) )],[refute_0_2096,refute_0_2097]) ).
cnf(refute_0_2099,plain,
xor(X_333,xor(X_335,X_334)) = xor(xor(X_333,X_334),X_335),
inference(resolve,[$cnf( $equal(xor(X_333,xor(X_334,X_335)),xor(xor(X_333,X_334),X_335)) )],[refute_0_1002,refute_0_2098]) ).
cnf(refute_0_2100,plain,
xor(xor(X_333,X_334),X_335) = xor(X_333,xor(X_334,X_335)),
inference(subst,[],[refute_0_526:[bind(X,$fot(X_333)),bind(Y,$fot(X_334)),bind(Z,$fot(X_335))]]) ).
cnf(refute_0_2101,plain,
( xor(X_333,xor(X_335,X_334)) != xor(xor(X_333,X_334),X_335)
| xor(xor(X_333,X_334),X_335) != xor(X_333,xor(X_334,X_335))
| xor(X_333,xor(X_335,X_334)) = xor(X_333,xor(X_334,X_335)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(X_333,xor(X_335,X_334)),xor(X_333,xor(X_334,X_335))) ),[0],$fot(xor(xor(X_333,X_334),X_335))]]) ).
cnf(refute_0_2102,plain,
( xor(X_333,xor(X_335,X_334)) != xor(xor(X_333,X_334),X_335)
| xor(X_333,xor(X_335,X_334)) = xor(X_333,xor(X_334,X_335)) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,X_334),X_335),xor(X_333,xor(X_334,X_335))) )],[refute_0_2100,refute_0_2101]) ).
cnf(refute_0_2103,plain,
xor(X_333,xor(X_335,X_334)) = xor(X_333,xor(X_334,X_335)),
inference(resolve,[$cnf( $equal(xor(X_333,xor(X_335,X_334)),xor(xor(X_333,X_334),X_335)) )],[refute_0_2099,refute_0_2102]) ).
cnf(refute_0_2104,plain,
( xor(X_333,xor(X_335,X_334)) != xor(X_333,xor(X_334,X_335))
| xor(X_333,xor(X_334,X_335)) = xor(X_333,xor(X_335,X_334)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X_333,xor(X_335,X_334)))),bind(Y0,$fot(xor(X_333,xor(X_334,X_335))))]]) ).
cnf(refute_0_2105,plain,
xor(X_333,xor(X_334,X_335)) = xor(X_333,xor(X_335,X_334)),
inference(resolve,[$cnf( $equal(xor(X_333,xor(X_335,X_334)),xor(X_333,xor(X_334,X_335))) )],[refute_0_2103,refute_0_2104]) ).
cnf(refute_0_2106,plain,
xor(t6,xor(xor(X,carry),and(t5,t6))) = xor(t6,xor(and(t5,t6),xor(X,carry))),
inference(subst,[],[refute_0_2105:[bind(X_333,$fot(t6)),bind(X_334,$fot(xor(X,carry))),bind(X_335,$fot(and(t5,t6)))]]) ).
cnf(refute_0_2107,plain,
xor(xor(X,carry),xor(t6,and(t5,t6))) = xor(t6,xor(xor(X,carry),and(t5,t6))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(t6)),bind(X_334,$fot(xor(X,carry))),bind(X_335,$fot(and(t5,t6)))]]) ).
cnf(refute_0_2108,plain,
( xor(t6,xor(xor(X,carry),and(t5,t6))) != xor(t6,xor(and(t5,t6),xor(X,carry)))
| xor(xor(X,carry),xor(t6,and(t5,t6))) != xor(t6,xor(xor(X,carry),and(t5,t6)))
| xor(xor(X,carry),xor(t6,and(t5,t6))) = xor(t6,xor(and(t5,t6),xor(X,carry))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X,carry),xor(t6,and(t5,t6))))),bind(Y0,$fot(xor(t6,xor(xor(X,carry),and(t5,t6))))),bind(Z0,$fot(xor(t6,xor(and(t5,t6),xor(X,carry)))))]]) ).
cnf(refute_0_2109,plain,
( xor(t6,xor(xor(X,carry),and(t5,t6))) != xor(t6,xor(and(t5,t6),xor(X,carry)))
| xor(xor(X,carry),xor(t6,and(t5,t6))) = xor(t6,xor(and(t5,t6),xor(X,carry))) ),
inference(resolve,[$cnf( $equal(xor(xor(X,carry),xor(t6,and(t5,t6))),xor(t6,xor(xor(X,carry),and(t5,t6)))) )],[refute_0_2107,refute_0_2108]) ).
cnf(refute_0_2110,plain,
xor(xor(X,carry),xor(t6,and(t5,t6))) = xor(t6,xor(and(t5,t6),xor(X,carry))),
inference(resolve,[$cnf( $equal(xor(t6,xor(xor(X,carry),and(t5,t6))),xor(t6,xor(and(t5,t6),xor(X,carry)))) )],[refute_0_2106,refute_0_2109]) ).
cnf(refute_0_2111,plain,
( xor(t6,xor(and(t5,t6),xor(X,carry))) != not(xor(t1,X))
| xor(xor(X,carry),xor(t6,and(t5,t6))) != xor(t6,xor(and(t5,t6),xor(X,carry)))
| xor(xor(X,carry),xor(t6,and(t5,t6))) = not(xor(t1,X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X,carry),xor(t6,and(t5,t6))))),bind(Y0,$fot(xor(t6,xor(and(t5,t6),xor(X,carry))))),bind(Z0,$fot(not(xor(t1,X))))]]) ).
cnf(refute_0_2112,plain,
( xor(t6,xor(and(t5,t6),xor(X,carry))) != not(xor(t1,X))
| xor(xor(X,carry),xor(t6,and(t5,t6))) = not(xor(t1,X)) ),
inference(resolve,[$cnf( $equal(xor(xor(X,carry),xor(t6,and(t5,t6))),xor(t6,xor(and(t5,t6),xor(X,carry)))) )],[refute_0_2110,refute_0_2111]) ).
cnf(refute_0_2113,plain,
xor(xor(X,carry),xor(t6,and(t5,t6))) = not(xor(t1,X)),
inference(resolve,[$cnf( $equal(xor(t6,xor(and(t5,t6),xor(X,carry))),not(xor(t1,X))) )],[refute_0_2093,refute_0_2112]) ).
cnf(refute_0_2114,plain,
( not(xor(X,t1)) != xor(xor(X,carry),xor(t6,and(t5,t6)))
| xor(xor(X,carry),xor(t6,and(t5,t6))) != not(xor(t1,X))
| not(xor(X,t1)) = not(xor(t1,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(X,t1)),not(xor(t1,X))) ),[0],$fot(xor(xor(X,carry),xor(t6,and(t5,t6))))]]) ).
cnf(refute_0_2115,plain,
( not(xor(X,t1)) != xor(xor(X,carry),xor(t6,and(t5,t6)))
| not(xor(X,t1)) = not(xor(t1,X)) ),
inference(resolve,[$cnf( $equal(xor(xor(X,carry),xor(t6,and(t5,t6))),not(xor(t1,X))) )],[refute_0_2113,refute_0_2114]) ).
cnf(refute_0_2116,plain,
( xor(X,not(t1)) != xor(xor(X,carry),xor(t6,and(t5,t6)))
| not(xor(X,t1)) = not(xor(t1,X)) ),
inference(resolve,[$cnf( $equal(not(xor(X,t1)),xor(xor(X,carry),xor(t6,and(t5,t6)))) )],[refute_0_2060,refute_0_2115]) ).
cnf(refute_0_2117,plain,
not(xor(X,t1)) = not(xor(t1,X)),
inference(resolve,[$cnf( $equal(xor(X,not(t1)),xor(xor(X,carry),xor(t6,and(t5,t6)))) )],[refute_0_2057,refute_0_2116]) ).
cnf(refute_0_2118,plain,
not(xor(t4,t1)) = not(xor(t1,t4)),
inference(subst,[],[refute_0_2117:[bind(X,$fot(t4))]]) ).
cnf(refute_0_2119,plain,
( not(xor(t1,t4)) != or(carry,t4)
| not(xor(t4,t1)) != not(xor(t1,t4))
| not(xor(t4,t1)) = or(carry,t4) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t4,t1)))),bind(Y0,$fot(not(xor(t1,t4)))),bind(Z0,$fot(or(carry,t4)))]]) ).
cnf(refute_0_2120,plain,
( not(xor(t1,t4)) != or(carry,t4)
| not(xor(t4,t1)) = or(carry,t4) ),
inference(resolve,[$cnf( $equal(not(xor(t4,t1)),not(xor(t1,t4))) )],[refute_0_2118,refute_0_2119]) ).
cnf(refute_0_2121,plain,
not(xor(t4,t1)) = or(carry,t4),
inference(resolve,[$cnf( $equal(not(xor(t1,t4)),or(carry,t4)) )],[refute_0_1570,refute_0_2120]) ).
cnf(refute_0_2122,plain,
( not(xor(t4,t1)) != or(carry,t4)
| or(b,t4) != not(xor(t4,t1))
| or(b,t4) = or(carry,t4) ),
introduced(tautology,[equality,[$cnf( $equal(or(b,t4),not(xor(t4,t1))) ),[1],$fot(or(carry,t4))]]) ).
cnf(refute_0_2123,plain,
( or(b,t4) != not(xor(t4,t1))
| or(b,t4) = or(carry,t4) ),
inference(resolve,[$cnf( $equal(not(xor(t4,t1)),or(carry,t4)) )],[refute_0_2121,refute_0_2122]) ).
cnf(refute_0_2124,plain,
( not(xor(t2,b)) != not(xor(t4,t1))
| or(b,t4) = or(carry,t4) ),
inference(resolve,[$cnf( $equal(or(b,t4),not(xor(t4,t1))) )],[refute_0_1986,refute_0_2123]) ).
cnf(refute_0_2125,plain,
or(b,t4) = or(carry,t4),
inference(resolve,[$cnf( $equal(not(xor(t2,b)),not(xor(t4,t1))) )],[refute_0_1875,refute_0_2124]) ).
cnf(refute_0_2126,plain,
( or(b,t4) != or(carry,t4)
| or(carry,t4) = or(b,t4) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(b,t4))),bind(Y0,$fot(or(carry,t4)))]]) ).
cnf(refute_0_2127,plain,
or(carry,t4) = or(b,t4),
inference(resolve,[$cnf( $equal(or(b,t4),or(carry,t4)) )],[refute_0_2125,refute_0_2126]) ).
cnf(refute_0_2128,plain,
and(or(carry,t4),Y) = and(or(carry,t4),Y),
introduced(tautology,[refl,[$fot(and(or(carry,t4),Y))]]) ).
cnf(refute_0_2129,plain,
( and(or(carry,t4),Y) != and(or(carry,t4),Y)
| or(carry,t4) != or(b,t4)
| and(or(carry,t4),Y) = and(or(b,t4),Y) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(carry,t4),Y),and(or(carry,t4),Y)) ),[1,0],$fot(or(b,t4))]]) ).
cnf(refute_0_2130,plain,
( or(carry,t4) != or(b,t4)
| and(or(carry,t4),Y) = and(or(b,t4),Y) ),
inference(resolve,[$cnf( $equal(and(or(carry,t4),Y),and(or(carry,t4),Y)) )],[refute_0_2128,refute_0_2129]) ).
cnf(refute_0_2131,plain,
and(or(carry,t4),Y) = and(or(b,t4),Y),
inference(resolve,[$cnf( $equal(or(carry,t4),or(b,t4)) )],[refute_0_2127,refute_0_2130]) ).
cnf(refute_0_2132,plain,
or(and(or(carry,t4),Y),not(or(carry,or(t4,Y)))) = or(and(or(carry,t4),Y),not(or(carry,or(t4,Y)))),
introduced(tautology,[refl,[$fot(or(and(or(carry,t4),Y),not(or(carry,or(t4,Y)))))]]) ).
cnf(refute_0_2133,plain,
( and(or(carry,t4),Y) != and(or(b,t4),Y)
| or(and(or(carry,t4),Y),not(or(carry,or(t4,Y)))) != or(and(or(carry,t4),Y),not(or(carry,or(t4,Y))))
| or(and(or(carry,t4),Y),not(or(carry,or(t4,Y)))) = or(and(or(b,t4),Y),not(or(carry,or(t4,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(or(carry,t4),Y),not(or(carry,or(t4,Y)))),or(and(or(carry,t4),Y),not(or(carry,or(t4,Y))))) ),[1,0],$fot(and(or(b,t4),Y))]]) ).
cnf(refute_0_2134,plain,
( and(or(carry,t4),Y) != and(or(b,t4),Y)
| or(and(or(carry,t4),Y),not(or(carry,or(t4,Y)))) = or(and(or(b,t4),Y),not(or(carry,or(t4,Y)))) ),
inference(resolve,[$cnf( $equal(or(and(or(carry,t4),Y),not(or(carry,or(t4,Y)))),or(and(or(carry,t4),Y),not(or(carry,or(t4,Y))))) )],[refute_0_2132,refute_0_2133]) ).
cnf(refute_0_2135,plain,
or(and(or(carry,t4),Y),not(or(carry,or(t4,Y)))) = or(and(or(b,t4),Y),not(or(carry,or(t4,Y)))),
inference(resolve,[$cnf( $equal(and(or(carry,t4),Y),and(or(b,t4),Y)) )],[refute_0_2131,refute_0_2134]) ).
cnf(refute_0_2136,plain,
( or(and(or(carry,t4),Y),not(or(carry,or(t4,Y)))) != or(and(or(b,t4),Y),not(or(carry,or(t4,Y))))
| or(and(or(carry,t4),Y),not(or(carry,or(t4,Y)))) != xor(carry,xor(t6,Y))
| or(and(or(b,t4),Y),not(or(carry,or(t4,Y)))) = xor(carry,xor(t6,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(or(carry,t4),Y),not(or(carry,or(t4,Y)))),xor(carry,xor(t6,Y))) ),[0],$fot(or(and(or(b,t4),Y),not(or(carry,or(t4,Y)))))]]) ).
cnf(refute_0_2137,plain,
( or(and(or(carry,t4),Y),not(or(carry,or(t4,Y)))) != xor(carry,xor(t6,Y))
| or(and(or(b,t4),Y),not(or(carry,or(t4,Y)))) = xor(carry,xor(t6,Y)) ),
inference(resolve,[$cnf( $equal(or(and(or(carry,t4),Y),not(or(carry,or(t4,Y)))),or(and(or(b,t4),Y),not(or(carry,or(t4,Y))))) )],[refute_0_2135,refute_0_2136]) ).
cnf(refute_0_2138,plain,
or(and(or(b,t4),Y),not(or(carry,or(t4,Y)))) = xor(carry,xor(t6,Y)),
inference(resolve,[$cnf( $equal(or(and(or(carry,t4),Y),not(or(carry,or(t4,Y)))),xor(carry,xor(t6,Y))) )],[refute_0_1614,refute_0_2137]) ).
cnf(refute_0_2139,plain,
or(and(xor(b,t2),not(Y)),and(not(xor(b,t2)),Y)) = xor(xor(b,t2),Y),
inference(subst,[],[refute_0_9:[bind(X,$fot(xor(b,t2)))]]) ).
cnf(refute_0_2140,plain,
( not(xor(b,t2)) != or(b,t4)
| or(and(xor(b,t2),not(Y)),and(not(xor(b,t2)),Y)) != xor(xor(b,t2),Y)
| or(and(xor(b,t2),not(Y)),and(or(b,t4),Y)) = xor(xor(b,t2),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(b,t2),not(Y)),and(not(xor(b,t2)),Y)),xor(xor(b,t2),Y)) ),[0,1,0],$fot(or(b,t4))]]) ).
cnf(refute_0_2141,plain,
( or(and(xor(b,t2),not(Y)),and(not(xor(b,t2)),Y)) != xor(xor(b,t2),Y)
| or(and(xor(b,t2),not(Y)),and(or(b,t4),Y)) = xor(xor(b,t2),Y) ),
inference(resolve,[$cnf( $equal(not(xor(b,t2)),or(b,t4)) )],[refute_0_1977,refute_0_2140]) ).
cnf(refute_0_2142,plain,
or(and(xor(b,t2),not(Y)),and(or(b,t4),Y)) = xor(xor(b,t2),Y),
inference(resolve,[$cnf( $equal(or(and(xor(b,t2),not(Y)),and(not(xor(b,t2)),Y)),xor(xor(b,t2),Y)) )],[refute_0_2139,refute_0_2141]) ).
cnf(refute_0_2143,plain,
or(and(xor(b,t2),not(Y)),and(or(b,t4),Y)) = or(and(or(b,t4),Y),and(xor(b,t2),not(Y))),
inference(subst,[],[refute_0_5:[bind(X,$fot(and(or(b,t4),Y))),bind(Y,$fot(and(xor(b,t2),not(Y))))]]) ).
cnf(refute_0_2144,plain,
( or(and(xor(b,t2),not(Y)),and(or(b,t4),Y)) != or(and(or(b,t4),Y),and(xor(b,t2),not(Y)))
| or(and(xor(b,t2),not(Y)),and(or(b,t4),Y)) != xor(xor(b,t2),Y)
| or(and(or(b,t4),Y),and(xor(b,t2),not(Y))) = xor(xor(b,t2),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(b,t2),not(Y)),and(or(b,t4),Y)),xor(xor(b,t2),Y)) ),[0],$fot(or(and(or(b,t4),Y),and(xor(b,t2),not(Y))))]]) ).
cnf(refute_0_2145,plain,
( or(and(xor(b,t2),not(Y)),and(or(b,t4),Y)) != xor(xor(b,t2),Y)
| or(and(or(b,t4),Y),and(xor(b,t2),not(Y))) = xor(xor(b,t2),Y) ),
inference(resolve,[$cnf( $equal(or(and(xor(b,t2),not(Y)),and(or(b,t4),Y)),or(and(or(b,t4),Y),and(xor(b,t2),not(Y)))) )],[refute_0_2143,refute_0_2144]) ).
cnf(refute_0_2146,plain,
xor(xor(b,t2),Y) = xor(b,xor(t2,Y)),
inference(subst,[],[refute_0_526:[bind(X,$fot(b)),bind(Y,$fot(t2)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_2147,plain,
( or(and(or(b,t4),Y),and(xor(b,t2),not(Y))) != xor(xor(b,t2),Y)
| xor(xor(b,t2),Y) != xor(b,xor(t2,Y))
| or(and(or(b,t4),Y),and(xor(b,t2),not(Y))) = xor(b,xor(t2,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(and(or(b,t4),Y),and(xor(b,t2),not(Y))),xor(b,xor(t2,Y))) ),[0],$fot(xor(xor(b,t2),Y))]]) ).
cnf(refute_0_2148,plain,
( or(and(or(b,t4),Y),and(xor(b,t2),not(Y))) != xor(xor(b,t2),Y)
| or(and(or(b,t4),Y),and(xor(b,t2),not(Y))) = xor(b,xor(t2,Y)) ),
inference(resolve,[$cnf( $equal(xor(xor(b,t2),Y),xor(b,xor(t2,Y))) )],[refute_0_2146,refute_0_2147]) ).
cnf(refute_0_2149,plain,
( or(and(xor(b,t2),not(Y)),and(or(b,t4),Y)) != xor(xor(b,t2),Y)
| or(and(or(b,t4),Y),and(xor(b,t2),not(Y))) = xor(b,xor(t2,Y)) ),
inference(resolve,[$cnf( $equal(or(and(or(b,t4),Y),and(xor(b,t2),not(Y))),xor(xor(b,t2),Y)) )],[refute_0_2145,refute_0_2148]) ).
cnf(refute_0_2150,plain,
or(and(or(b,t4),Y),and(xor(b,t2),not(Y))) = xor(b,xor(t2,Y)),
inference(resolve,[$cnf( $equal(or(and(xor(b,t2),not(Y)),and(or(b,t4),Y)),xor(xor(b,t2),Y)) )],[refute_0_2142,refute_0_2149]) ).
cnf(refute_0_2151,plain,
not(or(not(xor(b,t2)),X_26)) = and(xor(b,t2),not(X_26)),
inference(subst,[],[refute_0_159:[bind(X,$fot(xor(b,t2)))]]) ).
cnf(refute_0_2152,plain,
( not(or(not(xor(b,t2)),X_26)) != and(xor(b,t2),not(X_26))
| not(xor(b,t2)) != or(b,t4)
| not(or(or(b,t4),X_26)) = and(xor(b,t2),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(xor(b,t2)),X_26)),and(xor(b,t2),not(X_26))) ),[0,0,0],$fot(or(b,t4))]]) ).
cnf(refute_0_2153,plain,
( not(or(not(xor(b,t2)),X_26)) != and(xor(b,t2),not(X_26))
| not(or(or(b,t4),X_26)) = and(xor(b,t2),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(xor(b,t2)),or(b,t4)) )],[refute_0_1977,refute_0_2152]) ).
cnf(refute_0_2154,plain,
not(or(or(b,t4),X_26)) = and(xor(b,t2),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(not(xor(b,t2)),X_26)),and(xor(b,t2),not(X_26))) )],[refute_0_2151,refute_0_2153]) ).
cnf(refute_0_2155,plain,
or(or(b,t4),X_26) = or(b,or(t4,X_26)),
inference(subst,[],[or_associative:[bind(X,$fot(b)),bind(Y,$fot(t4)),bind(Z,$fot(X_26))]]) ).
cnf(refute_0_2156,plain,
not(or(or(b,t4),X_26)) = not(or(or(b,t4),X_26)),
introduced(tautology,[refl,[$fot(not(or(or(b,t4),X_26)))]]) ).
cnf(refute_0_2157,plain,
( not(or(or(b,t4),X_26)) != not(or(or(b,t4),X_26))
| or(or(b,t4),X_26) != or(b,or(t4,X_26))
| not(or(or(b,t4),X_26)) = not(or(b,or(t4,X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(or(b,t4),X_26)),not(or(or(b,t4),X_26))) ),[1,0],$fot(or(b,or(t4,X_26)))]]) ).
cnf(refute_0_2158,plain,
( or(or(b,t4),X_26) != or(b,or(t4,X_26))
| not(or(or(b,t4),X_26)) = not(or(b,or(t4,X_26))) ),
inference(resolve,[$cnf( $equal(not(or(or(b,t4),X_26)),not(or(or(b,t4),X_26))) )],[refute_0_2156,refute_0_2157]) ).
cnf(refute_0_2159,plain,
not(or(or(b,t4),X_26)) = not(or(b,or(t4,X_26))),
inference(resolve,[$cnf( $equal(or(or(b,t4),X_26),or(b,or(t4,X_26))) )],[refute_0_2155,refute_0_2158]) ).
cnf(refute_0_2160,plain,
( not(or(or(b,t4),X_26)) != and(xor(b,t2),not(X_26))
| not(or(or(b,t4),X_26)) != not(or(b,or(t4,X_26)))
| not(or(b,or(t4,X_26))) = and(xor(b,t2),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(or(b,t4),X_26)),and(xor(b,t2),not(X_26))) ),[0],$fot(not(or(b,or(t4,X_26))))]]) ).
cnf(refute_0_2161,plain,
( not(or(or(b,t4),X_26)) != and(xor(b,t2),not(X_26))
| not(or(b,or(t4,X_26))) = and(xor(b,t2),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(or(or(b,t4),X_26)),not(or(b,or(t4,X_26)))) )],[refute_0_2159,refute_0_2160]) ).
cnf(refute_0_2162,plain,
not(or(b,or(t4,X_26))) = and(xor(b,t2),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(or(b,t4),X_26)),and(xor(b,t2),not(X_26))) )],[refute_0_2154,refute_0_2161]) ).
cnf(refute_0_2163,plain,
( not(or(b,or(t4,X_26))) != and(xor(b,t2),not(X_26))
| and(xor(b,t2),not(X_26)) = not(or(b,or(t4,X_26))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(b,or(t4,X_26))))),bind(Y0,$fot(and(xor(b,t2),not(X_26))))]]) ).
cnf(refute_0_2164,plain,
and(xor(b,t2),not(X_26)) = not(or(b,or(t4,X_26))),
inference(resolve,[$cnf( $equal(not(or(b,or(t4,X_26))),and(xor(b,t2),not(X_26))) )],[refute_0_2162,refute_0_2163]) ).
cnf(refute_0_2165,plain,
and(xor(b,t2),not(Y)) = not(or(b,or(t4,Y))),
inference(subst,[],[refute_0_2164:[bind(X_26,$fot(Y))]]) ).
cnf(refute_0_2166,plain,
or(and(or(b,t4),Y),and(xor(b,t2),not(Y))) = or(and(or(b,t4),Y),and(xor(b,t2),not(Y))),
introduced(tautology,[refl,[$fot(or(and(or(b,t4),Y),and(xor(b,t2),not(Y))))]]) ).
cnf(refute_0_2167,plain,
( and(xor(b,t2),not(Y)) != not(or(b,or(t4,Y)))
| or(and(or(b,t4),Y),and(xor(b,t2),not(Y))) != or(and(or(b,t4),Y),and(xor(b,t2),not(Y)))
| or(and(or(b,t4),Y),and(xor(b,t2),not(Y))) = or(and(or(b,t4),Y),not(or(b,or(t4,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(or(b,t4),Y),and(xor(b,t2),not(Y))),or(and(or(b,t4),Y),and(xor(b,t2),not(Y)))) ),[1,1],$fot(not(or(b,or(t4,Y))))]]) ).
cnf(refute_0_2168,plain,
( and(xor(b,t2),not(Y)) != not(or(b,or(t4,Y)))
| or(and(or(b,t4),Y),and(xor(b,t2),not(Y))) = or(and(or(b,t4),Y),not(or(b,or(t4,Y)))) ),
inference(resolve,[$cnf( $equal(or(and(or(b,t4),Y),and(xor(b,t2),not(Y))),or(and(or(b,t4),Y),and(xor(b,t2),not(Y)))) )],[refute_0_2166,refute_0_2167]) ).
cnf(refute_0_2169,plain,
or(and(or(b,t4),Y),and(xor(b,t2),not(Y))) = or(and(or(b,t4),Y),not(or(b,or(t4,Y)))),
inference(resolve,[$cnf( $equal(and(xor(b,t2),not(Y)),not(or(b,or(t4,Y)))) )],[refute_0_2165,refute_0_2168]) ).
cnf(refute_0_2170,plain,
( or(and(or(b,t4),Y),and(xor(b,t2),not(Y))) != or(and(or(b,t4),Y),not(or(b,or(t4,Y))))
| or(and(or(b,t4),Y),and(xor(b,t2),not(Y))) != xor(b,xor(t2,Y))
| or(and(or(b,t4),Y),not(or(b,or(t4,Y)))) = xor(b,xor(t2,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(or(b,t4),Y),and(xor(b,t2),not(Y))),xor(b,xor(t2,Y))) ),[0],$fot(or(and(or(b,t4),Y),not(or(b,or(t4,Y)))))]]) ).
cnf(refute_0_2171,plain,
( or(and(or(b,t4),Y),and(xor(b,t2),not(Y))) != xor(b,xor(t2,Y))
| or(and(or(b,t4),Y),not(or(b,or(t4,Y)))) = xor(b,xor(t2,Y)) ),
inference(resolve,[$cnf( $equal(or(and(or(b,t4),Y),and(xor(b,t2),not(Y))),or(and(or(b,t4),Y),not(or(b,or(t4,Y))))) )],[refute_0_2169,refute_0_2170]) ).
cnf(refute_0_2172,plain,
or(and(or(b,t4),Y),not(or(b,or(t4,Y)))) = xor(b,xor(t2,Y)),
inference(resolve,[$cnf( $equal(or(and(or(b,t4),Y),and(xor(b,t2),not(Y))),xor(b,xor(t2,Y))) )],[refute_0_2150,refute_0_2171]) ).
cnf(refute_0_2173,plain,
and(xor(t1,t4),not(X_26)) = and(xor(t1,t4),not(X_26)),
introduced(tautology,[refl,[$fot(and(xor(t1,t4),not(X_26)))]]) ).
cnf(refute_0_2174,plain,
( and(xor(t1,t4),not(X_26)) != and(xor(t1,t4),not(X_26))
| xor(t1,t4) != xor(carry,t6)
| and(xor(t1,t4),not(X_26)) = and(xor(carry,t6),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t1,t4),not(X_26)),and(xor(t1,t4),not(X_26))) ),[1,0],$fot(xor(carry,t6))]]) ).
cnf(refute_0_2175,plain,
( xor(t1,t4) != xor(carry,t6)
| and(xor(t1,t4),not(X_26)) = and(xor(carry,t6),not(X_26)) ),
inference(resolve,[$cnf( $equal(and(xor(t1,t4),not(X_26)),and(xor(t1,t4),not(X_26))) )],[refute_0_2173,refute_0_2174]) ).
cnf(refute_0_2176,plain,
and(xor(t1,t4),not(X_26)) = and(xor(carry,t6),not(X_26)),
inference(resolve,[$cnf( $equal(xor(t1,t4),xor(carry,t6)) )],[refute_0_1496,refute_0_2175]) ).
cnf(refute_0_2177,plain,
( and(xor(t1,t4),not(X_26)) != and(xor(carry,t6),not(X_26))
| not(or(carry,or(t4,X_26))) != and(xor(t1,t4),not(X_26))
| not(or(carry,or(t4,X_26))) = and(xor(carry,t6),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,or(t4,X_26))),and(xor(t1,t4),not(X_26))) ),[1],$fot(and(xor(carry,t6),not(X_26)))]]) ).
cnf(refute_0_2178,plain,
( not(or(carry,or(t4,X_26))) != and(xor(t1,t4),not(X_26))
| not(or(carry,or(t4,X_26))) = and(xor(carry,t6),not(X_26)) ),
inference(resolve,[$cnf( $equal(and(xor(t1,t4),not(X_26)),and(xor(carry,t6),not(X_26))) )],[refute_0_2176,refute_0_2177]) ).
cnf(refute_0_2179,plain,
not(or(carry,or(t4,X_26))) = and(xor(carry,t6),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(carry,or(t4,X_26))),and(xor(t1,t4),not(X_26))) )],[refute_0_1593,refute_0_2178]) ).
cnf(refute_0_2180,plain,
or(and(t4,not(t1)),and(not(t4),t1)) = xor(t4,t1),
inference(subst,[],[refute_0_9:[bind(X,$fot(t4)),bind(Y,$fot(t1))]]) ).
cnf(refute_0_2181,plain,
( and(t4,not(t1)) != ll0
| or(and(t4,not(t1)),and(not(t4),t1)) != xor(t4,t1)
| or(ll0,and(not(t4),t1)) = xor(t4,t1) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,not(t1)),and(not(t4),t1)),xor(t4,t1)) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_2182,plain,
( or(and(t4,not(t1)),and(not(t4),t1)) != xor(t4,t1)
| or(ll0,and(not(t4),t1)) = xor(t4,t1) ),
inference(resolve,[$cnf( $equal(and(t4,not(t1)),ll0) )],[refute_0_1550,refute_0_2181]) ).
cnf(refute_0_2183,plain,
or(ll0,and(not(t4),t1)) = xor(t4,t1),
inference(resolve,[$cnf( $equal(or(and(t4,not(t1)),and(not(t4),t1)),xor(t4,t1)) )],[refute_0_2180,refute_0_2182]) ).
cnf(refute_0_2184,plain,
and(not(t4),t1) = and(t1,not(t4)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t1)),bind(Y,$fot(not(t4)))]]) ).
cnf(refute_0_2185,plain,
( and(not(t4),t1) != and(t1,not(t4))
| and(t1,not(t4)) != not(or(carry,t4))
| and(not(t4),t1) = not(or(carry,t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t4),t1))),bind(Y0,$fot(and(t1,not(t4)))),bind(Z0,$fot(not(or(carry,t4))))]]) ).
cnf(refute_0_2186,plain,
( and(t1,not(t4)) != not(or(carry,t4))
| and(not(t4),t1) = not(or(carry,t4)) ),
inference(resolve,[$cnf( $equal(and(not(t4),t1),and(t1,not(t4))) )],[refute_0_2184,refute_0_2185]) ).
cnf(refute_0_2187,plain,
and(not(t4),t1) = not(or(carry,t4)),
inference(resolve,[$cnf( $equal(and(t1,not(t4)),not(or(carry,t4))) )],[refute_0_1528,refute_0_2186]) ).
cnf(refute_0_2188,plain,
or(ll0,and(not(t4),t1)) = and(not(t4),t1),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(t4),t1)))]]) ).
cnf(refute_0_2189,plain,
( and(not(t4),t1) != not(or(carry,t4))
| or(ll0,and(not(t4),t1)) != and(not(t4),t1)
| or(ll0,and(not(t4),t1)) = not(or(carry,t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(ll0,and(not(t4),t1)))),bind(Y0,$fot(and(not(t4),t1))),bind(Z0,$fot(not(or(carry,t4))))]]) ).
cnf(refute_0_2190,plain,
( and(not(t4),t1) != not(or(carry,t4))
| or(ll0,and(not(t4),t1)) = not(or(carry,t4)) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t4),t1)),and(not(t4),t1)) )],[refute_0_2188,refute_0_2189]) ).
cnf(refute_0_2191,plain,
or(ll0,and(not(t4),t1)) = not(or(carry,t4)),
inference(resolve,[$cnf( $equal(and(not(t4),t1),not(or(carry,t4))) )],[refute_0_2187,refute_0_2190]) ).
cnf(refute_0_2192,plain,
( or(ll0,and(not(t4),t1)) != not(or(carry,t4))
| or(ll0,and(not(t4),t1)) != xor(t4,t1)
| not(or(carry,t4)) = xor(t4,t1) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(t4),t1)),xor(t4,t1)) ),[0],$fot(not(or(carry,t4)))]]) ).
cnf(refute_0_2193,plain,
( or(ll0,and(not(t4),t1)) != xor(t4,t1)
| not(or(carry,t4)) = xor(t4,t1) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t4),t1)),not(or(carry,t4))) )],[refute_0_2191,refute_0_2192]) ).
cnf(refute_0_2194,plain,
xor(t4,t1) = xor(t1,t4),
inference(subst,[],[refute_0_1913:[bind(X,$fot(t1)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_2195,plain,
( not(or(carry,t4)) != xor(t4,t1)
| xor(t4,t1) != xor(t1,t4)
| not(or(carry,t4)) = xor(t1,t4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(or(carry,t4)),xor(t1,t4)) ),[0],$fot(xor(t4,t1))]]) ).
cnf(refute_0_2196,plain,
( not(or(carry,t4)) != xor(t4,t1)
| not(or(carry,t4)) = xor(t1,t4) ),
inference(resolve,[$cnf( $equal(xor(t4,t1),xor(t1,t4)) )],[refute_0_2194,refute_0_2195]) ).
cnf(refute_0_2197,plain,
( or(ll0,and(not(t4),t1)) != xor(t4,t1)
| not(or(carry,t4)) = xor(t1,t4) ),
inference(resolve,[$cnf( $equal(not(or(carry,t4)),xor(t4,t1)) )],[refute_0_2193,refute_0_2196]) ).
cnf(refute_0_2198,plain,
not(or(carry,t4)) = xor(t1,t4),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t4),t1)),xor(t4,t1)) )],[refute_0_2183,refute_0_2197]) ).
cnf(refute_0_2199,plain,
( not(or(carry,t4)) != xor(t1,t4)
| xor(t1,t4) != xor(carry,t6)
| not(or(carry,t4)) = xor(carry,t6) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(or(carry,t4)),xor(carry,t6)) ),[0],$fot(xor(t1,t4))]]) ).
cnf(refute_0_2200,plain,
( not(or(carry,t4)) != xor(t1,t4)
| not(or(carry,t4)) = xor(carry,t6) ),
inference(resolve,[$cnf( $equal(xor(t1,t4),xor(carry,t6)) )],[refute_0_1496,refute_0_2199]) ).
cnf(refute_0_2201,plain,
not(or(carry,t4)) = xor(carry,t6),
inference(resolve,[$cnf( $equal(not(or(carry,t4)),xor(t1,t4)) )],[refute_0_2198,refute_0_2200]) ).
cnf(refute_0_2202,plain,
or(and(b,not(t2)),and(not(b),t2)) = xor(b,t2),
inference(subst,[],[refute_0_9:[bind(X,$fot(b)),bind(Y,$fot(t2))]]) ).
cnf(refute_0_2203,plain,
( and(b,not(t2)) != ll0
| or(and(b,not(t2)),and(not(b),t2)) != xor(b,t2)
| or(ll0,and(not(b),t2)) = xor(b,t2) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(b,not(t2)),and(not(b),t2)),xor(b,t2)) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_2204,plain,
( or(and(b,not(t2)),and(not(b),t2)) != xor(b,t2)
| or(ll0,and(not(b),t2)) = xor(b,t2) ),
inference(resolve,[$cnf( $equal(and(b,not(t2)),ll0) )],[refute_0_1957,refute_0_2203]) ).
cnf(refute_0_2205,plain,
or(ll0,and(not(b),t2)) = xor(b,t2),
inference(resolve,[$cnf( $equal(or(and(b,not(t2)),and(not(b),t2)),xor(b,t2)) )],[refute_0_2202,refute_0_2204]) ).
cnf(refute_0_2206,plain,
and(not(b),t2) = and(t2,not(b)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t2)),bind(Y,$fot(not(b)))]]) ).
cnf(refute_0_2207,plain,
( and(not(b),t2) != and(t2,not(b))
| and(t2,not(b)) != not(or(b,t4))
| and(not(b),t2) = not(or(b,t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(b),t2))),bind(Y0,$fot(and(t2,not(b)))),bind(Z0,$fot(not(or(b,t4))))]]) ).
cnf(refute_0_2208,plain,
( and(t2,not(b)) != not(or(b,t4))
| and(not(b),t2) = not(or(b,t4)) ),
inference(resolve,[$cnf( $equal(and(not(b),t2),and(t2,not(b))) )],[refute_0_2206,refute_0_2207]) ).
cnf(refute_0_2209,plain,
and(not(b),t2) = not(or(b,t4)),
inference(resolve,[$cnf( $equal(and(t2,not(b)),not(or(b,t4))) )],[refute_0_1905,refute_0_2208]) ).
cnf(refute_0_2210,plain,
or(ll0,and(not(b),t2)) = and(not(b),t2),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(b),t2)))]]) ).
cnf(refute_0_2211,plain,
( and(not(b),t2) != not(or(b,t4))
| or(ll0,and(not(b),t2)) != and(not(b),t2)
| or(ll0,and(not(b),t2)) = not(or(b,t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(ll0,and(not(b),t2)))),bind(Y0,$fot(and(not(b),t2))),bind(Z0,$fot(not(or(b,t4))))]]) ).
cnf(refute_0_2212,plain,
( and(not(b),t2) != not(or(b,t4))
| or(ll0,and(not(b),t2)) = not(or(b,t4)) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(b),t2)),and(not(b),t2)) )],[refute_0_2210,refute_0_2211]) ).
cnf(refute_0_2213,plain,
or(ll0,and(not(b),t2)) = not(or(b,t4)),
inference(resolve,[$cnf( $equal(and(not(b),t2),not(or(b,t4))) )],[refute_0_2209,refute_0_2212]) ).
cnf(refute_0_2214,plain,
( or(ll0,and(not(b),t2)) != not(or(b,t4))
| or(ll0,and(not(b),t2)) != xor(b,t2)
| not(or(b,t4)) = xor(b,t2) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(b),t2)),xor(b,t2)) ),[0],$fot(not(or(b,t4)))]]) ).
cnf(refute_0_2215,plain,
( or(ll0,and(not(b),t2)) != xor(b,t2)
| not(or(b,t4)) = xor(b,t2) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(b),t2)),not(or(b,t4))) )],[refute_0_2213,refute_0_2214]) ).
cnf(refute_0_2216,plain,
not(or(b,t4)) = xor(b,t2),
inference(resolve,[$cnf( $equal(or(ll0,and(not(b),t2)),xor(b,t2)) )],[refute_0_2205,refute_0_2215]) ).
cnf(refute_0_2217,plain,
not(or(carry,t4)) = not(or(carry,t4)),
introduced(tautology,[refl,[$fot(not(or(carry,t4)))]]) ).
cnf(refute_0_2218,plain,
( not(or(carry,t4)) != not(or(carry,t4))
| or(carry,t4) != or(b,t4)
| not(or(carry,t4)) = not(or(b,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,t4)),not(or(carry,t4))) ),[1,0],$fot(or(b,t4))]]) ).
cnf(refute_0_2219,plain,
( or(carry,t4) != or(b,t4)
| not(or(carry,t4)) = not(or(b,t4)) ),
inference(resolve,[$cnf( $equal(not(or(carry,t4)),not(or(carry,t4))) )],[refute_0_2217,refute_0_2218]) ).
cnf(refute_0_2220,plain,
not(or(carry,t4)) = not(or(b,t4)),
inference(resolve,[$cnf( $equal(or(carry,t4),or(b,t4)) )],[refute_0_2127,refute_0_2219]) ).
cnf(refute_0_2221,plain,
( not(or(b,t4)) != xor(b,t2)
| not(or(carry,t4)) != not(or(b,t4))
| not(or(carry,t4)) = xor(b,t2) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(carry,t4)))),bind(Y0,$fot(not(or(b,t4)))),bind(Z0,$fot(xor(b,t2)))]]) ).
cnf(refute_0_2222,plain,
( not(or(b,t4)) != xor(b,t2)
| not(or(carry,t4)) = xor(b,t2) ),
inference(resolve,[$cnf( $equal(not(or(carry,t4)),not(or(b,t4))) )],[refute_0_2220,refute_0_2221]) ).
cnf(refute_0_2223,plain,
not(or(carry,t4)) = xor(b,t2),
inference(resolve,[$cnf( $equal(not(or(b,t4)),xor(b,t2)) )],[refute_0_2216,refute_0_2222]) ).
cnf(refute_0_2224,plain,
( not(or(carry,t4)) != xor(b,t2)
| not(or(carry,t4)) != xor(carry,t6)
| xor(b,t2) = xor(carry,t6) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,t4)),xor(carry,t6)) ),[0],$fot(xor(b,t2))]]) ).
cnf(refute_0_2225,plain,
( not(or(carry,t4)) != xor(carry,t6)
| xor(b,t2) = xor(carry,t6) ),
inference(resolve,[$cnf( $equal(not(or(carry,t4)),xor(b,t2)) )],[refute_0_2223,refute_0_2224]) ).
cnf(refute_0_2226,plain,
xor(b,t2) = xor(carry,t6),
inference(resolve,[$cnf( $equal(not(or(carry,t4)),xor(carry,t6)) )],[refute_0_2201,refute_0_2225]) ).
cnf(refute_0_2227,plain,
( xor(b,t2) != xor(carry,t6)
| xor(carry,t6) = xor(b,t2) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(b,t2))),bind(Y0,$fot(xor(carry,t6)))]]) ).
cnf(refute_0_2228,plain,
xor(carry,t6) = xor(b,t2),
inference(resolve,[$cnf( $equal(xor(b,t2),xor(carry,t6)) )],[refute_0_2226,refute_0_2227]) ).
cnf(refute_0_2229,plain,
and(xor(carry,t6),not(X_26)) = and(xor(carry,t6),not(X_26)),
introduced(tautology,[refl,[$fot(and(xor(carry,t6),not(X_26)))]]) ).
cnf(refute_0_2230,plain,
( and(xor(carry,t6),not(X_26)) != and(xor(carry,t6),not(X_26))
| xor(carry,t6) != xor(b,t2)
| and(xor(carry,t6),not(X_26)) = and(xor(b,t2),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(carry,t6),not(X_26)),and(xor(carry,t6),not(X_26))) ),[1,0],$fot(xor(b,t2))]]) ).
cnf(refute_0_2231,plain,
( xor(carry,t6) != xor(b,t2)
| and(xor(carry,t6),not(X_26)) = and(xor(b,t2),not(X_26)) ),
inference(resolve,[$cnf( $equal(and(xor(carry,t6),not(X_26)),and(xor(carry,t6),not(X_26))) )],[refute_0_2229,refute_0_2230]) ).
cnf(refute_0_2232,plain,
and(xor(carry,t6),not(X_26)) = and(xor(b,t2),not(X_26)),
inference(resolve,[$cnf( $equal(xor(carry,t6),xor(b,t2)) )],[refute_0_2228,refute_0_2231]) ).
cnf(refute_0_2233,plain,
( and(xor(b,t2),not(X_26)) != not(or(b,or(t4,X_26)))
| and(xor(carry,t6),not(X_26)) != and(xor(b,t2),not(X_26))
| and(xor(carry,t6),not(X_26)) = not(or(b,or(t4,X_26))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(xor(carry,t6),not(X_26)))),bind(Y0,$fot(and(xor(b,t2),not(X_26)))),bind(Z0,$fot(not(or(b,or(t4,X_26)))))]]) ).
cnf(refute_0_2234,plain,
( and(xor(b,t2),not(X_26)) != not(or(b,or(t4,X_26)))
| and(xor(carry,t6),not(X_26)) = not(or(b,or(t4,X_26))) ),
inference(resolve,[$cnf( $equal(and(xor(carry,t6),not(X_26)),and(xor(b,t2),not(X_26))) )],[refute_0_2232,refute_0_2233]) ).
cnf(refute_0_2235,plain,
and(xor(carry,t6),not(X_26)) = not(or(b,or(t4,X_26))),
inference(resolve,[$cnf( $equal(and(xor(b,t2),not(X_26)),not(or(b,or(t4,X_26)))) )],[refute_0_2164,refute_0_2234]) ).
cnf(refute_0_2236,plain,
( and(xor(carry,t6),not(X_26)) != not(or(b,or(t4,X_26)))
| not(or(carry,or(t4,X_26))) != and(xor(carry,t6),not(X_26))
| not(or(carry,or(t4,X_26))) = not(or(b,or(t4,X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,or(t4,X_26))),and(xor(carry,t6),not(X_26))) ),[1],$fot(not(or(b,or(t4,X_26))))]]) ).
cnf(refute_0_2237,plain,
( not(or(carry,or(t4,X_26))) != and(xor(carry,t6),not(X_26))
| not(or(carry,or(t4,X_26))) = not(or(b,or(t4,X_26))) ),
inference(resolve,[$cnf( $equal(and(xor(carry,t6),not(X_26)),not(or(b,or(t4,X_26)))) )],[refute_0_2235,refute_0_2236]) ).
cnf(refute_0_2238,plain,
not(or(carry,or(t4,X_26))) = not(or(b,or(t4,X_26))),
inference(resolve,[$cnf( $equal(not(or(carry,or(t4,X_26))),and(xor(carry,t6),not(X_26))) )],[refute_0_2179,refute_0_2237]) ).
cnf(refute_0_2239,plain,
not(or(carry,or(t4,Y))) = not(or(b,or(t4,Y))),
inference(subst,[],[refute_0_2238:[bind(X_26,$fot(Y))]]) ).
cnf(refute_0_2240,plain,
or(and(or(b,t4),Y),not(or(carry,or(t4,Y)))) = or(and(or(b,t4),Y),not(or(carry,or(t4,Y)))),
introduced(tautology,[refl,[$fot(or(and(or(b,t4),Y),not(or(carry,or(t4,Y)))))]]) ).
cnf(refute_0_2241,plain,
( not(or(carry,or(t4,Y))) != not(or(b,or(t4,Y)))
| or(and(or(b,t4),Y),not(or(carry,or(t4,Y)))) != or(and(or(b,t4),Y),not(or(carry,or(t4,Y))))
| or(and(or(b,t4),Y),not(or(carry,or(t4,Y)))) = or(and(or(b,t4),Y),not(or(b,or(t4,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(or(b,t4),Y),not(or(carry,or(t4,Y)))),or(and(or(b,t4),Y),not(or(carry,or(t4,Y))))) ),[1,1],$fot(not(or(b,or(t4,Y))))]]) ).
cnf(refute_0_2242,plain,
( not(or(carry,or(t4,Y))) != not(or(b,or(t4,Y)))
| or(and(or(b,t4),Y),not(or(carry,or(t4,Y)))) = or(and(or(b,t4),Y),not(or(b,or(t4,Y)))) ),
inference(resolve,[$cnf( $equal(or(and(or(b,t4),Y),not(or(carry,or(t4,Y)))),or(and(or(b,t4),Y),not(or(carry,or(t4,Y))))) )],[refute_0_2240,refute_0_2241]) ).
cnf(refute_0_2243,plain,
or(and(or(b,t4),Y),not(or(carry,or(t4,Y)))) = or(and(or(b,t4),Y),not(or(b,or(t4,Y)))),
inference(resolve,[$cnf( $equal(not(or(carry,or(t4,Y))),not(or(b,or(t4,Y)))) )],[refute_0_2239,refute_0_2242]) ).
cnf(refute_0_2244,plain,
( or(and(or(b,t4),Y),not(or(b,or(t4,Y)))) != xor(b,xor(t2,Y))
| or(and(or(b,t4),Y),not(or(carry,or(t4,Y)))) != or(and(or(b,t4),Y),not(or(b,or(t4,Y))))
| or(and(or(b,t4),Y),not(or(carry,or(t4,Y)))) = xor(b,xor(t2,Y)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(or(b,t4),Y),not(or(carry,or(t4,Y)))))),bind(Y0,$fot(or(and(or(b,t4),Y),not(or(b,or(t4,Y)))))),bind(Z0,$fot(xor(b,xor(t2,Y))))]]) ).
cnf(refute_0_2245,plain,
( or(and(or(b,t4),Y),not(or(b,or(t4,Y)))) != xor(b,xor(t2,Y))
| or(and(or(b,t4),Y),not(or(carry,or(t4,Y)))) = xor(b,xor(t2,Y)) ),
inference(resolve,[$cnf( $equal(or(and(or(b,t4),Y),not(or(carry,or(t4,Y)))),or(and(or(b,t4),Y),not(or(b,or(t4,Y))))) )],[refute_0_2243,refute_0_2244]) ).
cnf(refute_0_2246,plain,
or(and(or(b,t4),Y),not(or(carry,or(t4,Y)))) = xor(b,xor(t2,Y)),
inference(resolve,[$cnf( $equal(or(and(or(b,t4),Y),not(or(b,or(t4,Y)))),xor(b,xor(t2,Y))) )],[refute_0_2172,refute_0_2245]) ).
cnf(refute_0_2247,plain,
( or(and(or(b,t4),Y),not(or(carry,or(t4,Y)))) != xor(b,xor(t2,Y))
| or(and(or(b,t4),Y),not(or(carry,or(t4,Y)))) != xor(carry,xor(t6,Y))
| xor(b,xor(t2,Y)) = xor(carry,xor(t6,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(or(b,t4),Y),not(or(carry,or(t4,Y)))),xor(carry,xor(t6,Y))) ),[0],$fot(xor(b,xor(t2,Y)))]]) ).
cnf(refute_0_2248,plain,
( or(and(or(b,t4),Y),not(or(carry,or(t4,Y)))) != xor(carry,xor(t6,Y))
| xor(b,xor(t2,Y)) = xor(carry,xor(t6,Y)) ),
inference(resolve,[$cnf( $equal(or(and(or(b,t4),Y),not(or(carry,or(t4,Y)))),xor(b,xor(t2,Y))) )],[refute_0_2246,refute_0_2247]) ).
cnf(refute_0_2249,plain,
xor(b,xor(t2,Y)) = xor(carry,xor(t6,Y)),
inference(resolve,[$cnf( $equal(or(and(or(b,t4),Y),not(or(carry,or(t4,Y)))),xor(carry,xor(t6,Y))) )],[refute_0_2138,refute_0_2248]) ).
cnf(refute_0_2250,plain,
( xor(b,xor(t2,Y)) != xor(carry,xor(t6,Y))
| xor(carry,xor(t6,Y)) = xor(b,xor(t2,Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(b,xor(t2,Y)))),bind(Y0,$fot(xor(carry,xor(t6,Y))))]]) ).
cnf(refute_0_2251,plain,
xor(carry,xor(t6,Y)) = xor(b,xor(t2,Y)),
inference(resolve,[$cnf( $equal(xor(b,xor(t2,Y)),xor(carry,xor(t6,Y))) )],[refute_0_2249,refute_0_2250]) ).
cnf(refute_0_2252,plain,
xor(carry,xor(t6,Z)) = xor(b,xor(t2,Z)),
inference(subst,[],[refute_0_2251:[bind(Y,$fot(Z))]]) ).
cnf(refute_0_2253,plain,
xor(b,xor(carry,xor(t6,Z))) = xor(b,xor(carry,xor(t6,Z))),
introduced(tautology,[refl,[$fot(xor(b,xor(carry,xor(t6,Z))))]]) ).
cnf(refute_0_2254,plain,
( xor(b,xor(carry,xor(t6,Z))) != xor(b,xor(carry,xor(t6,Z)))
| xor(carry,xor(t6,Z)) != xor(b,xor(t2,Z))
| xor(b,xor(carry,xor(t6,Z))) = xor(b,xor(b,xor(t2,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,xor(carry,xor(t6,Z))),xor(b,xor(carry,xor(t6,Z)))) ),[1,1],$fot(xor(b,xor(t2,Z)))]]) ).
cnf(refute_0_2255,plain,
( xor(carry,xor(t6,Z)) != xor(b,xor(t2,Z))
| xor(b,xor(carry,xor(t6,Z))) = xor(b,xor(b,xor(t2,Z))) ),
inference(resolve,[$cnf( $equal(xor(b,xor(carry,xor(t6,Z))),xor(b,xor(carry,xor(t6,Z)))) )],[refute_0_2253,refute_0_2254]) ).
cnf(refute_0_2256,plain,
xor(b,xor(carry,xor(t6,Z))) = xor(b,xor(b,xor(t2,Z))),
inference(resolve,[$cnf( $equal(xor(carry,xor(t6,Z)),xor(b,xor(t2,Z))) )],[refute_0_2252,refute_0_2255]) ).
cnf(refute_0_2257,plain,
( xor(b,xor(b,xor(t2,Z))) != xor(t2,Z)
| xor(b,xor(carry,xor(t6,Z))) != xor(b,xor(b,xor(t2,Z)))
| xor(b,xor(carry,xor(t6,Z))) = xor(t2,Z) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(b,xor(carry,xor(t6,Z))))),bind(Y0,$fot(xor(b,xor(b,xor(t2,Z))))),bind(Z0,$fot(xor(t2,Z)))]]) ).
cnf(refute_0_2258,plain,
( xor(b,xor(b,xor(t2,Z))) != xor(t2,Z)
| xor(b,xor(carry,xor(t6,Z))) = xor(t2,Z) ),
inference(resolve,[$cnf( $equal(xor(b,xor(carry,xor(t6,Z))),xor(b,xor(b,xor(t2,Z)))) )],[refute_0_2256,refute_0_2257]) ).
cnf(refute_0_2259,plain,
xor(b,xor(carry,xor(t6,Z))) = xor(t2,Z),
inference(resolve,[$cnf( $equal(xor(b,xor(b,xor(t2,Z))),xor(t2,Z)) )],[refute_0_1515,refute_0_2258]) ).
cnf(refute_0_2260,plain,
( xor(b,xor(carry,xor(t6,Z))) != xor(t2,Z)
| xor(b,xor(carry,xor(t6,Z))) != xor(t3,xor(t4,Z))
| xor(t2,Z) = xor(t3,xor(t4,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,xor(carry,xor(t6,Z))),xor(t3,xor(t4,Z))) ),[0],$fot(xor(t2,Z))]]) ).
cnf(refute_0_2261,plain,
( xor(b,xor(carry,xor(t6,Z))) != xor(t3,xor(t4,Z))
| xor(t2,Z) = xor(t3,xor(t4,Z)) ),
inference(resolve,[$cnf( $equal(xor(b,xor(carry,xor(t6,Z))),xor(t2,Z)) )],[refute_0_2259,refute_0_2260]) ).
cnf(refute_0_2262,plain,
xor(t2,Z) = xor(t3,xor(t4,Z)),
inference(resolve,[$cnf( $equal(xor(b,xor(carry,xor(t6,Z))),xor(t3,xor(t4,Z))) )],[refute_0_1514,refute_0_2261]) ).
cnf(refute_0_2263,plain,
( xor(t2,Z) != xor(t3,xor(t4,Z))
| xor(t3,xor(t4,Z)) = xor(t2,Z) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t2,Z))),bind(Y0,$fot(xor(t3,xor(t4,Z))))]]) ).
cnf(refute_0_2264,plain,
xor(t3,xor(t4,Z)) = xor(t2,Z),
inference(resolve,[$cnf( $equal(xor(t2,Z),xor(t3,xor(t4,Z))) )],[refute_0_2262,refute_0_2263]) ).
cnf(refute_0_2265,plain,
xor(t3,xor(t4,t7)) = xor(t2,t7),
inference(subst,[],[refute_0_2264:[bind(Z,$fot(t7))]]) ).
cnf(refute_0_2266,plain,
( and(t3,or(sum,t4)) != xor(t3,xor(t4,t7))
| xor(t3,xor(t4,t7)) != xor(t2,t7)
| and(t3,or(sum,t4)) = xor(t2,t7) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t3,or(sum,t4)),xor(t2,t7)) ),[0],$fot(xor(t3,xor(t4,t7)))]]) ).
cnf(refute_0_2267,plain,
( and(t3,or(sum,t4)) != xor(t3,xor(t4,t7))
| and(t3,or(sum,t4)) = xor(t2,t7) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(t4,t7)),xor(t2,t7)) )],[refute_0_2265,refute_0_2266]) ).
cnf(refute_0_2268,plain,
and(t3,or(sum,t4)) = xor(t2,t7),
inference(resolve,[$cnf( $equal(and(t3,or(sum,t4)),xor(t3,xor(t4,t7))) )],[refute_0_1180,refute_0_2267]) ).
cnf(refute_0_2269,plain,
or(not(xor(cin,t6)),and(t5,not(xor(cin,t6)))) = not(xor(cin,t6)),
inference(subst,[],[refute_0_222:[bind(X_13,$fot(not(xor(cin,t6)))),bind(X_14,$fot(t5))]]) ).
cnf(refute_0_2270,plain,
or(and(t5,not(xor(cin,t6))),and(not(t5),xor(cin,t6))) = xor(t5,xor(cin,t6)),
inference(subst,[],[refute_0_9:[bind(X,$fot(t5)),bind(Y,$fot(xor(cin,t6)))]]) ).
cnf(refute_0_2271,plain,
and(not(t5),xor(cin,t6)) = and(cin,and(t4,xor(cin,t6))),
inference(subst,[],[refute_0_841:[bind(X_222,$fot(xor(cin,t6)))]]) ).
cnf(refute_0_2272,plain,
and(not(t6),xor(cin,t6)) = and(t4,and(t5,xor(cin,t6))),
inference(subst,[],[refute_0_667:[bind(X_222,$fot(xor(cin,t6)))]]) ).
cnf(refute_0_2273,plain,
and(xor(cin,t6),or(t5,xor(cin,t6))) = xor(cin,t6),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(xor(cin,t6))),bind(X_20,$fot(t5))]]) ).
cnf(refute_0_2274,plain,
or(or(t5,not(cin)),X_39) = or(t5,or(not(cin),X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(t5)),bind(Y,$fot(not(cin))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_2275,plain,
or(t5,and(t5,not(cin))) = t5,
inference(subst,[],[or_absorption:[bind(X,$fot(t5)),bind(Y,$fot(not(cin)))]]) ).
cnf(refute_0_2276,plain,
not(or(cin,not(t5))) = not(or(not(t5),cin)),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(not(t5))),bind(X_26,$fot(cin))]]) ).
cnf(refute_0_2277,plain,
or(cin,and(cin,t4)) = cin,
inference(subst,[],[or_absorption:[bind(X,$fot(cin)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_2278,plain,
( and(cin,t4) != not(t5)
| or(cin,and(cin,t4)) != cin
| or(cin,not(t5)) = cin ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,and(cin,t4)),cin) ),[0,1],$fot(not(t5))]]) ).
cnf(refute_0_2279,plain,
( or(cin,and(cin,t4)) != cin
| or(cin,not(t5)) = cin ),
inference(resolve,[$cnf( $equal(and(cin,t4),not(t5)) )],[refute_0_838,refute_0_2278]) ).
cnf(refute_0_2280,plain,
or(cin,not(t5)) = cin,
inference(resolve,[$cnf( $equal(or(cin,and(cin,t4)),cin) )],[refute_0_2277,refute_0_2279]) ).
cnf(refute_0_2281,plain,
( not(or(cin,not(t5))) != not(or(not(t5),cin))
| or(cin,not(t5)) != cin
| not(cin) = not(or(not(t5),cin)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(cin,not(t5))),not(or(not(t5),cin))) ),[0,0],$fot(cin)]]) ).
cnf(refute_0_2282,plain,
( not(or(cin,not(t5))) != not(or(not(t5),cin))
| not(cin) = not(or(not(t5),cin)) ),
inference(resolve,[$cnf( $equal(or(cin,not(t5)),cin) )],[refute_0_2280,refute_0_2281]) ).
cnf(refute_0_2283,plain,
not(cin) = not(or(not(t5),cin)),
inference(resolve,[$cnf( $equal(not(or(cin,not(t5))),not(or(not(t5),cin))) )],[refute_0_2276,refute_0_2282]) ).
cnf(refute_0_2284,plain,
not(or(not(t5),cin)) = and(t5,not(cin)),
inference(subst,[],[refute_0_159:[bind(X,$fot(t5)),bind(X_26,$fot(cin))]]) ).
cnf(refute_0_2285,plain,
( not(cin) != not(or(not(t5),cin))
| not(or(not(t5),cin)) != and(t5,not(cin))
| not(cin) = and(t5,not(cin)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(cin),and(t5,not(cin))) ),[0],$fot(not(or(not(t5),cin)))]]) ).
cnf(refute_0_2286,plain,
( not(cin) != not(or(not(t5),cin))
| not(cin) = and(t5,not(cin)) ),
inference(resolve,[$cnf( $equal(not(or(not(t5),cin)),and(t5,not(cin))) )],[refute_0_2284,refute_0_2285]) ).
cnf(refute_0_2287,plain,
not(cin) = and(t5,not(cin)),
inference(resolve,[$cnf( $equal(not(cin),not(or(not(t5),cin))) )],[refute_0_2283,refute_0_2286]) ).
cnf(refute_0_2288,plain,
( not(cin) != and(t5,not(cin))
| and(t5,not(cin)) = not(cin) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(cin))),bind(Y0,$fot(and(t5,not(cin))))]]) ).
cnf(refute_0_2289,plain,
and(t5,not(cin)) = not(cin),
inference(resolve,[$cnf( $equal(not(cin),and(t5,not(cin))) )],[refute_0_2287,refute_0_2288]) ).
cnf(refute_0_2290,plain,
( and(t5,not(cin)) != not(cin)
| or(t5,and(t5,not(cin))) != t5
| or(t5,not(cin)) = t5 ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,and(t5,not(cin))),t5) ),[0,1],$fot(not(cin))]]) ).
cnf(refute_0_2291,plain,
( or(t5,and(t5,not(cin))) != t5
| or(t5,not(cin)) = t5 ),
inference(resolve,[$cnf( $equal(and(t5,not(cin)),not(cin)) )],[refute_0_2289,refute_0_2290]) ).
cnf(refute_0_2292,plain,
or(t5,not(cin)) = t5,
inference(resolve,[$cnf( $equal(or(t5,and(t5,not(cin))),t5) )],[refute_0_2275,refute_0_2291]) ).
cnf(refute_0_2293,plain,
( or(or(t5,not(cin)),X_39) != or(t5,or(not(cin),X_39))
| or(t5,not(cin)) != t5
| or(t5,X_39) = or(t5,or(not(cin),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t5,not(cin)),X_39),or(t5,or(not(cin),X_39))) ),[0,0],$fot(t5)]]) ).
cnf(refute_0_2294,plain,
( or(or(t5,not(cin)),X_39) != or(t5,or(not(cin),X_39))
| or(t5,X_39) = or(t5,or(not(cin),X_39)) ),
inference(resolve,[$cnf( $equal(or(t5,not(cin)),t5) )],[refute_0_2292,refute_0_2293]) ).
cnf(refute_0_2295,plain,
or(t5,X_39) = or(t5,or(not(cin),X_39)),
inference(resolve,[$cnf( $equal(or(or(t5,not(cin)),X_39),or(t5,or(not(cin),X_39))) )],[refute_0_2274,refute_0_2294]) ).
cnf(refute_0_2296,plain,
or(t5,xor(cin,t6)) = or(t5,or(not(cin),xor(cin,t6))),
inference(subst,[],[refute_0_2295:[bind(X_39,$fot(xor(cin,t6)))]]) ).
cnf(refute_0_2297,plain,
( or(not(cin),xor(cin,t6)) != not(cin)
| or(t5,xor(cin,t6)) != or(t5,or(not(cin),xor(cin,t6)))
| or(t5,xor(cin,t6)) = or(t5,not(cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,xor(cin,t6)),or(t5,or(not(cin),xor(cin,t6)))) ),[1,1],$fot(not(cin))]]) ).
cnf(refute_0_2298,plain,
( or(t5,xor(cin,t6)) != or(t5,or(not(cin),xor(cin,t6)))
| or(t5,xor(cin,t6)) = or(t5,not(cin)) ),
inference(resolve,[$cnf( $equal(or(not(cin),xor(cin,t6)),not(cin)) )],[refute_0_1425,refute_0_2297]) ).
cnf(refute_0_2299,plain,
or(t5,xor(cin,t6)) = or(t5,not(cin)),
inference(resolve,[$cnf( $equal(or(t5,xor(cin,t6)),or(t5,or(not(cin),xor(cin,t6)))) )],[refute_0_2296,refute_0_2298]) ).
cnf(refute_0_2300,plain,
( or(t5,not(cin)) != t5
| or(t5,xor(cin,t6)) != or(t5,not(cin))
| or(t5,xor(cin,t6)) = t5 ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,xor(cin,t6)),or(t5,not(cin))) ),[1],$fot(t5)]]) ).
cnf(refute_0_2301,plain,
( or(t5,xor(cin,t6)) != or(t5,not(cin))
| or(t5,xor(cin,t6)) = t5 ),
inference(resolve,[$cnf( $equal(or(t5,not(cin)),t5) )],[refute_0_2292,refute_0_2300]) ).
cnf(refute_0_2302,plain,
or(t5,xor(cin,t6)) = t5,
inference(resolve,[$cnf( $equal(or(t5,xor(cin,t6)),or(t5,not(cin))) )],[refute_0_2299,refute_0_2301]) ).
cnf(refute_0_2303,plain,
( and(xor(cin,t6),or(t5,xor(cin,t6))) != xor(cin,t6)
| or(t5,xor(cin,t6)) != t5
| and(xor(cin,t6),t5) = xor(cin,t6) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(cin,t6),or(t5,xor(cin,t6))),xor(cin,t6)) ),[0,1],$fot(t5)]]) ).
cnf(refute_0_2304,plain,
( and(xor(cin,t6),or(t5,xor(cin,t6))) != xor(cin,t6)
| and(xor(cin,t6),t5) = xor(cin,t6) ),
inference(resolve,[$cnf( $equal(or(t5,xor(cin,t6)),t5) )],[refute_0_2302,refute_0_2303]) ).
cnf(refute_0_2305,plain,
and(xor(cin,t6),t5) = xor(cin,t6),
inference(resolve,[$cnf( $equal(and(xor(cin,t6),or(t5,xor(cin,t6))),xor(cin,t6)) )],[refute_0_2273,refute_0_2304]) ).
cnf(refute_0_2306,plain,
and(xor(cin,t6),t5) = and(t5,xor(cin,t6)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t5)),bind(Y,$fot(xor(cin,t6)))]]) ).
cnf(refute_0_2307,plain,
( and(xor(cin,t6),t5) != and(t5,xor(cin,t6))
| and(xor(cin,t6),t5) != xor(cin,t6)
| and(t5,xor(cin,t6)) = xor(cin,t6) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(cin,t6),t5),xor(cin,t6)) ),[0],$fot(and(t5,xor(cin,t6)))]]) ).
cnf(refute_0_2308,plain,
( and(xor(cin,t6),t5) != xor(cin,t6)
| and(t5,xor(cin,t6)) = xor(cin,t6) ),
inference(resolve,[$cnf( $equal(and(xor(cin,t6),t5),and(t5,xor(cin,t6))) )],[refute_0_2306,refute_0_2307]) ).
cnf(refute_0_2309,plain,
and(t5,xor(cin,t6)) = xor(cin,t6),
inference(resolve,[$cnf( $equal(and(xor(cin,t6),t5),xor(cin,t6)) )],[refute_0_2305,refute_0_2308]) ).
cnf(refute_0_2310,plain,
( and(not(t6),xor(cin,t6)) != and(t4,and(t5,xor(cin,t6)))
| and(t5,xor(cin,t6)) != xor(cin,t6)
| and(not(t6),xor(cin,t6)) = and(t4,xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),xor(cin,t6)),and(t4,and(t5,xor(cin,t6)))) ),[1,1],$fot(xor(cin,t6))]]) ).
cnf(refute_0_2311,plain,
( and(not(t6),xor(cin,t6)) != and(t4,and(t5,xor(cin,t6)))
| and(not(t6),xor(cin,t6)) = and(t4,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(and(t5,xor(cin,t6)),xor(cin,t6)) )],[refute_0_2309,refute_0_2310]) ).
cnf(refute_0_2312,plain,
and(not(t6),xor(cin,t6)) = and(t4,xor(cin,t6)),
inference(resolve,[$cnf( $equal(and(not(t6),xor(cin,t6)),and(t4,and(t5,xor(cin,t6)))) )],[refute_0_2272,refute_0_2311]) ).
cnf(refute_0_2313,plain,
and(or(t6,not(xor(cin,t6))),not(or(not(xor(cin,t6)),t6))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(not(xor(cin,t6)))),bind(X_28,$fot(t6))]]) ).
cnf(refute_0_2314,plain,
ll1 = or(t6,or(not(t6),and(X_207,cin))),
inference(subst,[],[refute_0_632:[bind(X_37,$fot(t6)),bind(X_39,$fot(and(X_207,cin)))]]) ).
cnf(refute_0_2315,plain,
not(and(t6,not(and(X_75,cin)))) = or(not(t6),not(not(and(X_75,cin)))),
inference(subst,[],[and_demorgan:[bind(X,$fot(t6)),bind(Y,$fot(not(and(X_75,cin))))]]) ).
cnf(refute_0_2316,plain,
or(and(t6,not(and(X_60,cin))),and(not(t6),and(X_60,cin))) = xor(t6,and(X_60,cin)),
inference(subst,[],[refute_0_9:[bind(X,$fot(t6)),bind(Y,$fot(and(X_60,cin)))]]) ).
cnf(refute_0_2317,plain,
ll0 = and(not(t6),and(cin,X_60)),
inference(subst,[],[refute_0_1083:[bind(X_55,$fot(X_60))]]) ).
cnf(refute_0_2318,plain,
and(X_60,cin) = and(cin,X_60),
inference(subst,[],[and_commutative:[bind(X,$fot(X_60)),bind(Y,$fot(cin))]]) ).
cnf(refute_0_2319,plain,
( and(X_60,cin) != and(cin,X_60)
| and(cin,X_60) = and(X_60,cin) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X_60,cin))),bind(Y0,$fot(and(cin,X_60)))]]) ).
cnf(refute_0_2320,plain,
and(cin,X_60) = and(X_60,cin),
inference(resolve,[$cnf( $equal(and(X_60,cin),and(cin,X_60)) )],[refute_0_2318,refute_0_2319]) ).
cnf(refute_0_2321,plain,
( and(cin,X_60) != and(X_60,cin)
| ll0 != and(not(t6),and(cin,X_60))
| ll0 = and(not(t6),and(X_60,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(not(t6),and(cin,X_60))) ),[1,1],$fot(and(X_60,cin))]]) ).
cnf(refute_0_2322,plain,
( ll0 != and(not(t6),and(cin,X_60))
| ll0 = and(not(t6),and(X_60,cin)) ),
inference(resolve,[$cnf( $equal(and(cin,X_60),and(X_60,cin)) )],[refute_0_2320,refute_0_2321]) ).
cnf(refute_0_2323,plain,
ll0 = and(not(t6),and(X_60,cin)),
inference(resolve,[$cnf( $equal(ll0,and(not(t6),and(cin,X_60))) )],[refute_0_2317,refute_0_2322]) ).
cnf(refute_0_2324,plain,
( ll0 != and(not(t6),and(X_60,cin))
| and(not(t6),and(X_60,cin)) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(not(t6),and(X_60,cin))))]]) ).
cnf(refute_0_2325,plain,
and(not(t6),and(X_60,cin)) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(not(t6),and(X_60,cin))) )],[refute_0_2323,refute_0_2324]) ).
cnf(refute_0_2326,plain,
( and(not(t6),and(X_60,cin)) != ll0
| or(and(t6,not(and(X_60,cin))),and(not(t6),and(X_60,cin))) != xor(t6,and(X_60,cin))
| or(and(t6,not(and(X_60,cin))),ll0) = xor(t6,and(X_60,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,not(and(X_60,cin))),and(not(t6),and(X_60,cin))),xor(t6,and(X_60,cin))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_2327,plain,
( or(and(t6,not(and(X_60,cin))),and(not(t6),and(X_60,cin))) != xor(t6,and(X_60,cin))
| or(and(t6,not(and(X_60,cin))),ll0) = xor(t6,and(X_60,cin)) ),
inference(resolve,[$cnf( $equal(and(not(t6),and(X_60,cin)),ll0) )],[refute_0_2325,refute_0_2326]) ).
cnf(refute_0_2328,plain,
or(and(t6,not(and(X_60,cin))),ll0) = xor(t6,and(X_60,cin)),
inference(resolve,[$cnf( $equal(or(and(t6,not(and(X_60,cin))),and(not(t6),and(X_60,cin))),xor(t6,and(X_60,cin))) )],[refute_0_2316,refute_0_2327]) ).
cnf(refute_0_2329,plain,
or(and(t6,not(and(X_60,cin))),ll0) = and(t6,not(and(X_60,cin))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t6,not(and(X_60,cin)))))]]) ).
cnf(refute_0_2330,plain,
( or(and(t6,not(and(X_60,cin))),ll0) != and(t6,not(and(X_60,cin)))
| or(and(t6,not(and(X_60,cin))),ll0) != xor(t6,and(X_60,cin))
| and(t6,not(and(X_60,cin))) = xor(t6,and(X_60,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,not(and(X_60,cin))),ll0),xor(t6,and(X_60,cin))) ),[0],$fot(and(t6,not(and(X_60,cin))))]]) ).
cnf(refute_0_2331,plain,
( or(and(t6,not(and(X_60,cin))),ll0) != xor(t6,and(X_60,cin))
| and(t6,not(and(X_60,cin))) = xor(t6,and(X_60,cin)) ),
inference(resolve,[$cnf( $equal(or(and(t6,not(and(X_60,cin))),ll0),and(t6,not(and(X_60,cin)))) )],[refute_0_2329,refute_0_2330]) ).
cnf(refute_0_2332,plain,
and(t6,not(and(X_60,cin))) = xor(t6,and(X_60,cin)),
inference(resolve,[$cnf( $equal(or(and(t6,not(and(X_60,cin))),ll0),xor(t6,and(X_60,cin))) )],[refute_0_2328,refute_0_2331]) ).
cnf(refute_0_2333,plain,
and(t6,not(and(X_75,cin))) = xor(t6,and(X_75,cin)),
inference(subst,[],[refute_0_2332:[bind(X_60,$fot(X_75))]]) ).
cnf(refute_0_2334,plain,
( and(t6,not(and(X_75,cin))) != xor(t6,and(X_75,cin))
| not(and(t6,not(and(X_75,cin)))) != or(not(t6),not(not(and(X_75,cin))))
| not(xor(t6,and(X_75,cin))) = or(not(t6),not(not(and(X_75,cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(t6,not(and(X_75,cin)))),or(not(t6),not(not(and(X_75,cin))))) ),[0,0],$fot(xor(t6,and(X_75,cin)))]]) ).
cnf(refute_0_2335,plain,
( not(and(t6,not(and(X_75,cin)))) != or(not(t6),not(not(and(X_75,cin))))
| not(xor(t6,and(X_75,cin))) = or(not(t6),not(not(and(X_75,cin)))) ),
inference(resolve,[$cnf( $equal(and(t6,not(and(X_75,cin))),xor(t6,and(X_75,cin))) )],[refute_0_2333,refute_0_2334]) ).
cnf(refute_0_2336,plain,
not(xor(t6,and(X_75,cin))) = or(not(t6),not(not(and(X_75,cin)))),
inference(resolve,[$cnf( $equal(not(and(t6,not(and(X_75,cin)))),or(not(t6),not(not(and(X_75,cin))))) )],[refute_0_2315,refute_0_2335]) ).
cnf(refute_0_2337,plain,
not(and(t6,not(and(X_75,cin)))) = or(not(t6),and(X_75,cin)),
inference(subst,[],[refute_0_435:[bind(X_29,$fot(t6)),bind(X_30,$fot(and(X_75,cin)))]]) ).
cnf(refute_0_2338,plain,
or(not(t6),not(not(and(X_75,cin)))) = not(and(t6,not(and(X_75,cin)))),
inference(subst,[],[refute_0_147:[bind(X,$fot(t6)),bind(Y,$fot(not(and(X_75,cin))))]]) ).
cnf(refute_0_2339,plain,
( not(and(t6,not(and(X_75,cin)))) != or(not(t6),and(X_75,cin))
| or(not(t6),not(not(and(X_75,cin)))) != not(and(t6,not(and(X_75,cin))))
| or(not(t6),not(not(and(X_75,cin)))) = or(not(t6),and(X_75,cin)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t6),not(not(and(X_75,cin)))))),bind(Y0,$fot(not(and(t6,not(and(X_75,cin)))))),bind(Z0,$fot(or(not(t6),and(X_75,cin))))]]) ).
cnf(refute_0_2340,plain,
( not(and(t6,not(and(X_75,cin)))) != or(not(t6),and(X_75,cin))
| or(not(t6),not(not(and(X_75,cin)))) = or(not(t6),and(X_75,cin)) ),
inference(resolve,[$cnf( $equal(or(not(t6),not(not(and(X_75,cin)))),not(and(t6,not(and(X_75,cin))))) )],[refute_0_2338,refute_0_2339]) ).
cnf(refute_0_2341,plain,
or(not(t6),not(not(and(X_75,cin)))) = or(not(t6),and(X_75,cin)),
inference(resolve,[$cnf( $equal(not(and(t6,not(and(X_75,cin)))),or(not(t6),and(X_75,cin))) )],[refute_0_2337,refute_0_2340]) ).
cnf(refute_0_2342,plain,
( not(xor(t6,and(X_75,cin))) != or(not(t6),not(not(and(X_75,cin))))
| or(not(t6),not(not(and(X_75,cin)))) != or(not(t6),and(X_75,cin))
| not(xor(t6,and(X_75,cin))) = or(not(t6),and(X_75,cin)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(t6,and(X_75,cin))),or(not(t6),and(X_75,cin))) ),[0],$fot(or(not(t6),not(not(and(X_75,cin)))))]]) ).
cnf(refute_0_2343,plain,
( not(xor(t6,and(X_75,cin))) != or(not(t6),not(not(and(X_75,cin))))
| not(xor(t6,and(X_75,cin))) = or(not(t6),and(X_75,cin)) ),
inference(resolve,[$cnf( $equal(or(not(t6),not(not(and(X_75,cin)))),or(not(t6),and(X_75,cin))) )],[refute_0_2341,refute_0_2342]) ).
cnf(refute_0_2344,plain,
not(xor(t6,and(X_75,cin))) = or(not(t6),and(X_75,cin)),
inference(resolve,[$cnf( $equal(not(xor(t6,and(X_75,cin))),or(not(t6),not(not(and(X_75,cin))))) )],[refute_0_2336,refute_0_2343]) ).
cnf(refute_0_2345,plain,
not(xor(t6,and(X_207,cin))) = or(not(t6),and(X_207,cin)),
inference(subst,[],[refute_0_2344:[bind(X_75,$fot(X_207))]]) ).
cnf(refute_0_2346,plain,
( not(xor(t6,and(X_207,cin))) != or(not(t6),and(X_207,cin))
| or(not(t6),and(X_207,cin)) = not(xor(t6,and(X_207,cin))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(xor(t6,and(X_207,cin))))),bind(Y0,$fot(or(not(t6),and(X_207,cin))))]]) ).
cnf(refute_0_2347,plain,
or(not(t6),and(X_207,cin)) = not(xor(t6,and(X_207,cin))),
inference(resolve,[$cnf( $equal(not(xor(t6,and(X_207,cin))),or(not(t6),and(X_207,cin))) )],[refute_0_2345,refute_0_2346]) ).
cnf(refute_0_2348,plain,
( ll1 != or(t6,or(not(t6),and(X_207,cin)))
| or(not(t6),and(X_207,cin)) != not(xor(t6,and(X_207,cin)))
| ll1 = or(t6,not(xor(t6,and(X_207,cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t6,or(not(t6),and(X_207,cin)))) ),[1,1],$fot(not(xor(t6,and(X_207,cin))))]]) ).
cnf(refute_0_2349,plain,
( ll1 != or(t6,or(not(t6),and(X_207,cin)))
| ll1 = or(t6,not(xor(t6,and(X_207,cin)))) ),
inference(resolve,[$cnf( $equal(or(not(t6),and(X_207,cin)),not(xor(t6,and(X_207,cin)))) )],[refute_0_2347,refute_0_2348]) ).
cnf(refute_0_2350,plain,
ll1 = or(t6,not(xor(t6,and(X_207,cin)))),
inference(resolve,[$cnf( $equal(ll1,or(t6,or(not(t6),and(X_207,cin)))) )],[refute_0_2314,refute_0_2349]) ).
cnf(refute_0_2351,plain,
ll1 = or(t6,not(xor(t6,and(ll1,cin)))),
inference(subst,[],[refute_0_2350:[bind(X_207,$fot(ll1))]]) ).
cnf(refute_0_2352,plain,
and(ll1,cin) = cin,
inference(subst,[],[refute_0_64:[bind(X,$fot(cin))]]) ).
cnf(refute_0_2353,plain,
( and(ll1,cin) != cin
| ll1 != or(t6,not(xor(t6,and(ll1,cin))))
| ll1 = or(t6,not(xor(t6,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t6,not(xor(t6,and(ll1,cin))))) ),[1,1,0,1],$fot(cin)]]) ).
cnf(refute_0_2354,plain,
( ll1 != or(t6,not(xor(t6,and(ll1,cin))))
| ll1 = or(t6,not(xor(t6,cin))) ),
inference(resolve,[$cnf( $equal(and(ll1,cin),cin) )],[refute_0_2352,refute_0_2353]) ).
cnf(refute_0_2355,plain,
ll1 = or(t6,not(xor(t6,cin))),
inference(resolve,[$cnf( $equal(ll1,or(t6,not(xor(t6,and(ll1,cin))))) )],[refute_0_2351,refute_0_2354]) ).
cnf(refute_0_2356,plain,
xor(t6,cin) = xor(cin,t6),
inference(subst,[],[refute_0_1913:[bind(X,$fot(cin)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_2357,plain,
not(xor(t6,cin)) = not(xor(t6,cin)),
introduced(tautology,[refl,[$fot(not(xor(t6,cin)))]]) ).
cnf(refute_0_2358,plain,
( not(xor(t6,cin)) != not(xor(t6,cin))
| xor(t6,cin) != xor(cin,t6)
| not(xor(t6,cin)) = not(xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t6,cin)),not(xor(t6,cin))) ),[1,0],$fot(xor(cin,t6))]]) ).
cnf(refute_0_2359,plain,
( xor(t6,cin) != xor(cin,t6)
| not(xor(t6,cin)) = not(xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(not(xor(t6,cin)),not(xor(t6,cin))) )],[refute_0_2357,refute_0_2358]) ).
cnf(refute_0_2360,plain,
not(xor(t6,cin)) = not(xor(cin,t6)),
inference(resolve,[$cnf( $equal(xor(t6,cin),xor(cin,t6)) )],[refute_0_2356,refute_0_2359]) ).
cnf(refute_0_2361,plain,
or(t6,not(xor(t6,cin))) = or(t6,not(xor(t6,cin))),
introduced(tautology,[refl,[$fot(or(t6,not(xor(t6,cin))))]]) ).
cnf(refute_0_2362,plain,
( not(xor(t6,cin)) != not(xor(cin,t6))
| or(t6,not(xor(t6,cin))) != or(t6,not(xor(t6,cin)))
| or(t6,not(xor(t6,cin))) = or(t6,not(xor(cin,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,not(xor(t6,cin))),or(t6,not(xor(t6,cin)))) ),[1,1],$fot(not(xor(cin,t6)))]]) ).
cnf(refute_0_2363,plain,
( not(xor(t6,cin)) != not(xor(cin,t6))
| or(t6,not(xor(t6,cin))) = or(t6,not(xor(cin,t6))) ),
inference(resolve,[$cnf( $equal(or(t6,not(xor(t6,cin))),or(t6,not(xor(t6,cin)))) )],[refute_0_2361,refute_0_2362]) ).
cnf(refute_0_2364,plain,
or(t6,not(xor(t6,cin))) = or(t6,not(xor(cin,t6))),
inference(resolve,[$cnf( $equal(not(xor(t6,cin)),not(xor(cin,t6))) )],[refute_0_2360,refute_0_2363]) ).
cnf(refute_0_2365,plain,
( ll1 != or(t6,not(xor(t6,cin)))
| or(t6,not(xor(t6,cin))) != or(t6,not(xor(cin,t6)))
| ll1 = or(t6,not(xor(cin,t6))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll1,or(t6,not(xor(cin,t6)))) ),[0],$fot(or(t6,not(xor(t6,cin))))]]) ).
cnf(refute_0_2366,plain,
( ll1 != or(t6,not(xor(t6,cin)))
| ll1 = or(t6,not(xor(cin,t6))) ),
inference(resolve,[$cnf( $equal(or(t6,not(xor(t6,cin))),or(t6,not(xor(cin,t6)))) )],[refute_0_2364,refute_0_2365]) ).
cnf(refute_0_2367,plain,
ll1 = or(t6,not(xor(cin,t6))),
inference(resolve,[$cnf( $equal(ll1,or(t6,not(xor(t6,cin)))) )],[refute_0_2355,refute_0_2366]) ).
cnf(refute_0_2368,plain,
( ll1 != or(t6,not(xor(cin,t6)))
| or(t6,not(xor(cin,t6))) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(t6,not(xor(cin,t6)))))]]) ).
cnf(refute_0_2369,plain,
or(t6,not(xor(cin,t6))) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(t6,not(xor(cin,t6)))) )],[refute_0_2367,refute_0_2368]) ).
cnf(refute_0_2370,plain,
( and(or(t6,not(xor(cin,t6))),not(or(not(xor(cin,t6)),t6))) != ll0
| or(t6,not(xor(cin,t6))) != ll1
| and(ll1,not(or(not(xor(cin,t6)),t6))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(t6,not(xor(cin,t6))),not(or(not(xor(cin,t6)),t6))),ll0) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_2371,plain,
( and(or(t6,not(xor(cin,t6))),not(or(not(xor(cin,t6)),t6))) != ll0
| and(ll1,not(or(not(xor(cin,t6)),t6))) = ll0 ),
inference(resolve,[$cnf( $equal(or(t6,not(xor(cin,t6))),ll1) )],[refute_0_2369,refute_0_2370]) ).
cnf(refute_0_2372,plain,
and(ll1,not(or(not(xor(cin,t6)),t6))) = ll0,
inference(resolve,[$cnf( $equal(and(or(t6,not(xor(cin,t6))),not(or(not(xor(cin,t6)),t6))),ll0) )],[refute_0_2313,refute_0_2371]) ).
cnf(refute_0_2373,plain,
not(or(t6,not(xor(cin,t6)))) = and(not(t6),xor(cin,t6)),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(cin,t6))),bind(X_25,$fot(t6))]]) ).
cnf(refute_0_2374,plain,
and(ll1,not(or(t6,not(xor(cin,t6))))) = not(or(t6,not(xor(cin,t6)))),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(or(t6,not(xor(cin,t6))))))]]) ).
cnf(refute_0_2375,plain,
( and(ll1,not(or(t6,not(xor(cin,t6))))) != not(or(t6,not(xor(cin,t6))))
| not(or(t6,not(xor(cin,t6)))) != and(not(t6),xor(cin,t6))
| and(ll1,not(or(t6,not(xor(cin,t6))))) = and(not(t6),xor(cin,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(t6,not(xor(cin,t6))))))),bind(Y0,$fot(not(or(t6,not(xor(cin,t6)))))),bind(Z0,$fot(and(not(t6),xor(cin,t6))))]]) ).
cnf(refute_0_2376,plain,
( not(or(t6,not(xor(cin,t6)))) != and(not(t6),xor(cin,t6))
| and(ll1,not(or(t6,not(xor(cin,t6))))) = and(not(t6),xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t6,not(xor(cin,t6))))),not(or(t6,not(xor(cin,t6))))) )],[refute_0_2374,refute_0_2375]) ).
cnf(refute_0_2377,plain,
and(ll1,not(or(t6,not(xor(cin,t6))))) = and(not(t6),xor(cin,t6)),
inference(resolve,[$cnf( $equal(not(or(t6,not(xor(cin,t6)))),and(not(t6),xor(cin,t6))) )],[refute_0_2373,refute_0_2376]) ).
cnf(refute_0_2378,plain,
and(ll1,not(or(not(xor(cin,t6)),t6))) = and(ll1,not(or(t6,not(xor(cin,t6))))),
inference(subst,[],[refute_0_815:[bind(X_25,$fot(t6)),bind(X_26,$fot(not(xor(cin,t6)))),bind(X_29,$fot(ll1))]]) ).
cnf(refute_0_2379,plain,
( and(ll1,not(or(not(xor(cin,t6)),t6))) != and(ll1,not(or(t6,not(xor(cin,t6)))))
| and(ll1,not(or(t6,not(xor(cin,t6))))) != and(not(t6),xor(cin,t6))
| and(ll1,not(or(not(xor(cin,t6)),t6))) = and(not(t6),xor(cin,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(xor(cin,t6)),t6))))),bind(Y0,$fot(and(ll1,not(or(t6,not(xor(cin,t6))))))),bind(Z0,$fot(and(not(t6),xor(cin,t6))))]]) ).
cnf(refute_0_2380,plain,
( and(ll1,not(or(t6,not(xor(cin,t6))))) != and(not(t6),xor(cin,t6))
| and(ll1,not(or(not(xor(cin,t6)),t6))) = and(not(t6),xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(cin,t6)),t6))),and(ll1,not(or(t6,not(xor(cin,t6)))))) )],[refute_0_2378,refute_0_2379]) ).
cnf(refute_0_2381,plain,
and(ll1,not(or(not(xor(cin,t6)),t6))) = and(not(t6),xor(cin,t6)),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t6,not(xor(cin,t6))))),and(not(t6),xor(cin,t6))) )],[refute_0_2377,refute_0_2380]) ).
cnf(refute_0_2382,plain,
( and(ll1,not(or(not(xor(cin,t6)),t6))) != and(not(t6),xor(cin,t6))
| and(ll1,not(or(not(xor(cin,t6)),t6))) != ll0
| and(not(t6),xor(cin,t6)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(ll1,not(or(not(xor(cin,t6)),t6))),ll0) ),[0],$fot(and(not(t6),xor(cin,t6)))]]) ).
cnf(refute_0_2383,plain,
( and(ll1,not(or(not(xor(cin,t6)),t6))) != ll0
| and(not(t6),xor(cin,t6)) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(cin,t6)),t6))),and(not(t6),xor(cin,t6))) )],[refute_0_2381,refute_0_2382]) ).
cnf(refute_0_2384,plain,
and(not(t6),xor(cin,t6)) = ll0,
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(cin,t6)),t6))),ll0) )],[refute_0_2372,refute_0_2383]) ).
cnf(refute_0_2385,plain,
( and(not(t6),xor(cin,t6)) != and(t4,xor(cin,t6))
| and(not(t6),xor(cin,t6)) != ll0
| ll0 = and(t4,xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),xor(cin,t6)),and(t4,xor(cin,t6))) ),[0],$fot(ll0)]]) ).
cnf(refute_0_2386,plain,
( and(not(t6),xor(cin,t6)) != and(t4,xor(cin,t6))
| ll0 = and(t4,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(and(not(t6),xor(cin,t6)),ll0) )],[refute_0_2384,refute_0_2385]) ).
cnf(refute_0_2387,plain,
ll0 = and(t4,xor(cin,t6)),
inference(resolve,[$cnf( $equal(and(not(t6),xor(cin,t6)),and(t4,xor(cin,t6))) )],[refute_0_2312,refute_0_2386]) ).
cnf(refute_0_2388,plain,
( ll0 != and(t4,xor(cin,t6))
| and(t4,xor(cin,t6)) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(t4,xor(cin,t6))))]]) ).
cnf(refute_0_2389,plain,
and(t4,xor(cin,t6)) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(t4,xor(cin,t6))) )],[refute_0_2387,refute_0_2388]) ).
cnf(refute_0_2390,plain,
( and(not(t5),xor(cin,t6)) != and(cin,and(t4,xor(cin,t6)))
| and(t4,xor(cin,t6)) != ll0
| and(not(t5),xor(cin,t6)) = and(cin,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),xor(cin,t6)),and(cin,and(t4,xor(cin,t6)))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_2391,plain,
( and(not(t5),xor(cin,t6)) != and(cin,and(t4,xor(cin,t6)))
| and(not(t5),xor(cin,t6)) = and(cin,ll0) ),
inference(resolve,[$cnf( $equal(and(t4,xor(cin,t6)),ll0) )],[refute_0_2389,refute_0_2390]) ).
cnf(refute_0_2392,plain,
and(not(t5),xor(cin,t6)) = and(cin,ll0),
inference(resolve,[$cnf( $equal(and(not(t5),xor(cin,t6)),and(cin,and(t4,xor(cin,t6)))) )],[refute_0_2271,refute_0_2391]) ).
cnf(refute_0_2393,plain,
( and(cin,ll0) != ll0
| and(not(t5),xor(cin,t6)) != and(cin,ll0)
| and(not(t5),xor(cin,t6)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),xor(cin,t6)),and(cin,ll0)) ),[1],$fot(ll0)]]) ).
cnf(refute_0_2394,plain,
( and(not(t5),xor(cin,t6)) != and(cin,ll0)
| and(not(t5),xor(cin,t6)) = ll0 ),
inference(resolve,[$cnf( $equal(and(cin,ll0),ll0) )],[refute_0_927,refute_0_2393]) ).
cnf(refute_0_2395,plain,
and(not(t5),xor(cin,t6)) = ll0,
inference(resolve,[$cnf( $equal(and(not(t5),xor(cin,t6)),and(cin,ll0)) )],[refute_0_2392,refute_0_2394]) ).
cnf(refute_0_2396,plain,
( and(not(t5),xor(cin,t6)) != ll0
| or(and(t5,not(xor(cin,t6))),and(not(t5),xor(cin,t6))) != xor(t5,xor(cin,t6))
| or(and(t5,not(xor(cin,t6))),ll0) = xor(t5,xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t5,not(xor(cin,t6))),and(not(t5),xor(cin,t6))),xor(t5,xor(cin,t6))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_2397,plain,
( or(and(t5,not(xor(cin,t6))),and(not(t5),xor(cin,t6))) != xor(t5,xor(cin,t6))
| or(and(t5,not(xor(cin,t6))),ll0) = xor(t5,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(and(not(t5),xor(cin,t6)),ll0) )],[refute_0_2395,refute_0_2396]) ).
cnf(refute_0_2398,plain,
or(and(t5,not(xor(cin,t6))),ll0) = xor(t5,xor(cin,t6)),
inference(resolve,[$cnf( $equal(or(and(t5,not(xor(cin,t6))),and(not(t5),xor(cin,t6))),xor(t5,xor(cin,t6))) )],[refute_0_2270,refute_0_2397]) ).
cnf(refute_0_2399,plain,
or(and(t5,not(xor(cin,t6))),ll0) = and(t5,not(xor(cin,t6))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t5,not(xor(cin,t6)))))]]) ).
cnf(refute_0_2400,plain,
( or(and(t5,not(xor(cin,t6))),ll0) != and(t5,not(xor(cin,t6)))
| or(and(t5,not(xor(cin,t6))),ll0) != xor(t5,xor(cin,t6))
| and(t5,not(xor(cin,t6))) = xor(t5,xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t5,not(xor(cin,t6))),ll0),xor(t5,xor(cin,t6))) ),[0],$fot(and(t5,not(xor(cin,t6))))]]) ).
cnf(refute_0_2401,plain,
( or(and(t5,not(xor(cin,t6))),ll0) != xor(t5,xor(cin,t6))
| and(t5,not(xor(cin,t6))) = xor(t5,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(or(and(t5,not(xor(cin,t6))),ll0),and(t5,not(xor(cin,t6)))) )],[refute_0_2399,refute_0_2400]) ).
cnf(refute_0_2402,plain,
and(t5,not(xor(cin,t6))) = xor(t5,xor(cin,t6)),
inference(resolve,[$cnf( $equal(or(and(t5,not(xor(cin,t6))),ll0),xor(t5,xor(cin,t6))) )],[refute_0_2398,refute_0_2401]) ).
cnf(refute_0_2403,plain,
( and(t5,not(xor(cin,t6))) != xor(t5,xor(cin,t6))
| or(not(xor(cin,t6)),and(t5,not(xor(cin,t6)))) != not(xor(cin,t6))
| or(not(xor(cin,t6)),xor(t5,xor(cin,t6))) = not(xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(xor(cin,t6)),and(t5,not(xor(cin,t6)))),not(xor(cin,t6))) ),[0,1],$fot(xor(t5,xor(cin,t6)))]]) ).
cnf(refute_0_2404,plain,
( or(not(xor(cin,t6)),and(t5,not(xor(cin,t6)))) != not(xor(cin,t6))
| or(not(xor(cin,t6)),xor(t5,xor(cin,t6))) = not(xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(cin,t6))),xor(t5,xor(cin,t6))) )],[refute_0_2402,refute_0_2403]) ).
cnf(refute_0_2405,plain,
or(not(xor(cin,t6)),xor(t5,xor(cin,t6))) = not(xor(cin,t6)),
inference(resolve,[$cnf( $equal(or(not(xor(cin,t6)),and(t5,not(xor(cin,t6)))),not(xor(cin,t6))) )],[refute_0_2269,refute_0_2404]) ).
cnf(refute_0_2406,plain,
or(or(cin,not(t6)),Z) = or(cin,or(not(t6),Z)),
inference(subst,[],[or_associative:[bind(X,$fot(cin)),bind(Y,$fot(not(t6)))]]) ).
cnf(refute_0_2407,plain,
( or(cin,not(t6)) != not(xor(cin,t6))
| or(or(cin,not(t6)),Z) != or(cin,or(not(t6),Z))
| or(not(xor(cin,t6)),Z) = or(cin,or(not(t6),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(cin,not(t6)),Z),or(cin,or(not(t6),Z))) ),[0,0],$fot(not(xor(cin,t6)))]]) ).
cnf(refute_0_2408,plain,
( or(or(cin,not(t6)),Z) != or(cin,or(not(t6),Z))
| or(not(xor(cin,t6)),Z) = or(cin,or(not(t6),Z)) ),
inference(resolve,[$cnf( $equal(or(cin,not(t6)),not(xor(cin,t6))) )],[refute_0_1414,refute_0_2407]) ).
cnf(refute_0_2409,plain,
or(not(xor(cin,t6)),Z) = or(cin,or(not(t6),Z)),
inference(resolve,[$cnf( $equal(or(or(cin,not(t6)),Z),or(cin,or(not(t6),Z))) )],[refute_0_2406,refute_0_2408]) ).
cnf(refute_0_2410,plain,
or(not(xor(cin,t6)),xor(t5,xor(cin,t6))) = or(cin,or(not(t6),xor(t5,xor(cin,t6)))),
inference(subst,[],[refute_0_2409:[bind(Z,$fot(xor(t5,xor(cin,t6))))]]) ).
cnf(refute_0_2411,plain,
( or(not(xor(cin,t6)),xor(t5,xor(cin,t6))) != not(xor(cin,t6))
| or(not(xor(cin,t6)),xor(t5,xor(cin,t6))) != or(cin,or(not(t6),xor(t5,xor(cin,t6))))
| or(cin,or(not(t6),xor(t5,xor(cin,t6)))) = not(xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(xor(cin,t6)),xor(t5,xor(cin,t6))),not(xor(cin,t6))) ),[0],$fot(or(cin,or(not(t6),xor(t5,xor(cin,t6)))))]]) ).
cnf(refute_0_2412,plain,
( or(not(xor(cin,t6)),xor(t5,xor(cin,t6))) != not(xor(cin,t6))
| or(cin,or(not(t6),xor(t5,xor(cin,t6)))) = not(xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(or(not(xor(cin,t6)),xor(t5,xor(cin,t6))),or(cin,or(not(t6),xor(t5,xor(cin,t6))))) )],[refute_0_2410,refute_0_2411]) ).
cnf(refute_0_2413,plain,
or(cin,or(not(t6),xor(t5,xor(cin,t6)))) = not(xor(cin,t6)),
inference(resolve,[$cnf( $equal(or(not(xor(cin,t6)),xor(t5,xor(cin,t6))),not(xor(cin,t6))) )],[refute_0_2405,refute_0_2412]) ).
cnf(refute_0_2414,plain,
or(xor(t5,xor(cin,t6)),and(t4,xor(t5,xor(cin,t6)))) = xor(t5,xor(cin,t6)),
inference(subst,[],[refute_0_222:[bind(X_13,$fot(xor(t5,xor(cin,t6)))),bind(X_14,$fot(t4))]]) ).
cnf(refute_0_2415,plain,
and(not(t6),not(xor(cin,t6))) = and(t4,and(t5,not(xor(cin,t6)))),
inference(subst,[],[refute_0_667:[bind(X_222,$fot(not(xor(cin,t6))))]]) ).
cnf(refute_0_2416,plain,
( and(not(t6),not(xor(cin,t6))) != and(t4,and(t5,not(xor(cin,t6))))
| and(t5,not(xor(cin,t6))) != xor(t5,xor(cin,t6))
| and(not(t6),not(xor(cin,t6))) = and(t4,xor(t5,xor(cin,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),not(xor(cin,t6))),and(t4,and(t5,not(xor(cin,t6))))) ),[1,1],$fot(xor(t5,xor(cin,t6)))]]) ).
cnf(refute_0_2417,plain,
( and(not(t6),not(xor(cin,t6))) != and(t4,and(t5,not(xor(cin,t6))))
| and(not(t6),not(xor(cin,t6))) = and(t4,xor(t5,xor(cin,t6))) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(cin,t6))),xor(t5,xor(cin,t6))) )],[refute_0_2402,refute_0_2416]) ).
cnf(refute_0_2418,plain,
and(not(t6),not(xor(cin,t6))) = and(t4,xor(t5,xor(cin,t6))),
inference(resolve,[$cnf( $equal(and(not(t6),not(xor(cin,t6))),and(t4,and(t5,not(xor(cin,t6))))) )],[refute_0_2415,refute_0_2417]) ).
cnf(refute_0_2419,plain,
or(t6,and(t6,not(cin))) = t6,
inference(subst,[],[or_absorption:[bind(X,$fot(t6)),bind(Y,$fot(not(cin)))]]) ).
cnf(refute_0_2420,plain,
( and(t6,not(cin)) != xor(cin,t6)
| or(t6,and(t6,not(cin))) != t6
| or(t6,xor(cin,t6)) = t6 ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,and(t6,not(cin))),t6) ),[0,1],$fot(xor(cin,t6))]]) ).
cnf(refute_0_2421,plain,
( or(t6,and(t6,not(cin))) != t6
| or(t6,xor(cin,t6)) = t6 ),
inference(resolve,[$cnf( $equal(and(t6,not(cin)),xor(cin,t6)) )],[refute_0_1397,refute_0_2420]) ).
cnf(refute_0_2422,plain,
or(t6,xor(cin,t6)) = t6,
inference(resolve,[$cnf( $equal(or(t6,and(t6,not(cin))),t6) )],[refute_0_2419,refute_0_2421]) ).
cnf(refute_0_2423,plain,
not(or(t6,xor(cin,t6))) = not(or(t6,xor(cin,t6))),
introduced(tautology,[refl,[$fot(not(or(t6,xor(cin,t6))))]]) ).
cnf(refute_0_2424,plain,
( not(or(t6,xor(cin,t6))) != not(or(t6,xor(cin,t6)))
| or(t6,xor(cin,t6)) != t6
| not(or(t6,xor(cin,t6))) = not(t6) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t6,xor(cin,t6))),not(or(t6,xor(cin,t6)))) ),[1,0],$fot(t6)]]) ).
cnf(refute_0_2425,plain,
( or(t6,xor(cin,t6)) != t6
| not(or(t6,xor(cin,t6))) = not(t6) ),
inference(resolve,[$cnf( $equal(not(or(t6,xor(cin,t6))),not(or(t6,xor(cin,t6)))) )],[refute_0_2423,refute_0_2424]) ).
cnf(refute_0_2426,plain,
not(or(t6,xor(cin,t6))) = not(t6),
inference(resolve,[$cnf( $equal(or(t6,xor(cin,t6)),t6) )],[refute_0_2422,refute_0_2425]) ).
cnf(refute_0_2427,plain,
and(not(t6),not(xor(cin,t6))) = not(or(t6,xor(cin,t6))),
inference(subst,[],[refute_0_101:[bind(X,$fot(t6)),bind(Y,$fot(xor(cin,t6)))]]) ).
cnf(refute_0_2428,plain,
( and(not(t6),not(xor(cin,t6))) != not(or(t6,xor(cin,t6)))
| not(or(t6,xor(cin,t6))) != not(t6)
| and(not(t6),not(xor(cin,t6))) = not(t6) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t6),not(xor(cin,t6))))),bind(Y0,$fot(not(or(t6,xor(cin,t6))))),bind(Z0,$fot(not(t6)))]]) ).
cnf(refute_0_2429,plain,
( not(or(t6,xor(cin,t6))) != not(t6)
| and(not(t6),not(xor(cin,t6))) = not(t6) ),
inference(resolve,[$cnf( $equal(and(not(t6),not(xor(cin,t6))),not(or(t6,xor(cin,t6)))) )],[refute_0_2427,refute_0_2428]) ).
cnf(refute_0_2430,plain,
and(not(t6),not(xor(cin,t6))) = not(t6),
inference(resolve,[$cnf( $equal(not(or(t6,xor(cin,t6))),not(t6)) )],[refute_0_2426,refute_0_2429]) ).
cnf(refute_0_2431,plain,
( and(not(t6),not(xor(cin,t6))) != and(t4,xor(t5,xor(cin,t6)))
| and(not(t6),not(xor(cin,t6))) != not(t6)
| not(t6) = and(t4,xor(t5,xor(cin,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),not(xor(cin,t6))),and(t4,xor(t5,xor(cin,t6)))) ),[0],$fot(not(t6))]]) ).
cnf(refute_0_2432,plain,
( and(not(t6),not(xor(cin,t6))) != and(t4,xor(t5,xor(cin,t6)))
| not(t6) = and(t4,xor(t5,xor(cin,t6))) ),
inference(resolve,[$cnf( $equal(and(not(t6),not(xor(cin,t6))),not(t6)) )],[refute_0_2430,refute_0_2431]) ).
cnf(refute_0_2433,plain,
not(t6) = and(t4,xor(t5,xor(cin,t6))),
inference(resolve,[$cnf( $equal(and(not(t6),not(xor(cin,t6))),and(t4,xor(t5,xor(cin,t6)))) )],[refute_0_2418,refute_0_2432]) ).
cnf(refute_0_2434,plain,
( not(t6) != and(t4,xor(t5,xor(cin,t6)))
| and(t4,xor(t5,xor(cin,t6))) = not(t6) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t6))),bind(Y0,$fot(and(t4,xor(t5,xor(cin,t6)))))]]) ).
cnf(refute_0_2435,plain,
and(t4,xor(t5,xor(cin,t6))) = not(t6),
inference(resolve,[$cnf( $equal(not(t6),and(t4,xor(t5,xor(cin,t6)))) )],[refute_0_2433,refute_0_2434]) ).
cnf(refute_0_2436,plain,
( and(t4,xor(t5,xor(cin,t6))) != not(t6)
| or(xor(t5,xor(cin,t6)),and(t4,xor(t5,xor(cin,t6)))) != xor(t5,xor(cin,t6))
| or(xor(t5,xor(cin,t6)),not(t6)) = xor(t5,xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(t5,xor(cin,t6)),and(t4,xor(t5,xor(cin,t6)))),xor(t5,xor(cin,t6))) ),[0,1],$fot(not(t6))]]) ).
cnf(refute_0_2437,plain,
( or(xor(t5,xor(cin,t6)),and(t4,xor(t5,xor(cin,t6)))) != xor(t5,xor(cin,t6))
| or(xor(t5,xor(cin,t6)),not(t6)) = xor(t5,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(and(t4,xor(t5,xor(cin,t6))),not(t6)) )],[refute_0_2435,refute_0_2436]) ).
cnf(refute_0_2438,plain,
or(xor(t5,xor(cin,t6)),not(t6)) = xor(t5,xor(cin,t6)),
inference(resolve,[$cnf( $equal(or(xor(t5,xor(cin,t6)),and(t4,xor(t5,xor(cin,t6)))),xor(t5,xor(cin,t6))) )],[refute_0_2414,refute_0_2437]) ).
cnf(refute_0_2439,plain,
or(xor(t5,xor(cin,t6)),not(t6)) = or(not(t6),xor(t5,xor(cin,t6))),
inference(subst,[],[refute_0_5:[bind(X,$fot(not(t6))),bind(Y,$fot(xor(t5,xor(cin,t6))))]]) ).
cnf(refute_0_2440,plain,
( or(xor(t5,xor(cin,t6)),not(t6)) != or(not(t6),xor(t5,xor(cin,t6)))
| or(xor(t5,xor(cin,t6)),not(t6)) != xor(t5,xor(cin,t6))
| or(not(t6),xor(t5,xor(cin,t6))) = xor(t5,xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(t5,xor(cin,t6)),not(t6)),xor(t5,xor(cin,t6))) ),[0],$fot(or(not(t6),xor(t5,xor(cin,t6))))]]) ).
cnf(refute_0_2441,plain,
( or(xor(t5,xor(cin,t6)),not(t6)) != xor(t5,xor(cin,t6))
| or(not(t6),xor(t5,xor(cin,t6))) = xor(t5,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(or(xor(t5,xor(cin,t6)),not(t6)),or(not(t6),xor(t5,xor(cin,t6)))) )],[refute_0_2439,refute_0_2440]) ).
cnf(refute_0_2442,plain,
or(not(t6),xor(t5,xor(cin,t6))) = xor(t5,xor(cin,t6)),
inference(resolve,[$cnf( $equal(or(xor(t5,xor(cin,t6)),not(t6)),xor(t5,xor(cin,t6))) )],[refute_0_2438,refute_0_2441]) ).
cnf(refute_0_2443,plain,
or(cin,or(not(t6),xor(t5,xor(cin,t6)))) = or(cin,or(not(t6),xor(t5,xor(cin,t6)))),
introduced(tautology,[refl,[$fot(or(cin,or(not(t6),xor(t5,xor(cin,t6)))))]]) ).
cnf(refute_0_2444,plain,
( or(cin,or(not(t6),xor(t5,xor(cin,t6)))) != or(cin,or(not(t6),xor(t5,xor(cin,t6))))
| or(not(t6),xor(t5,xor(cin,t6))) != xor(t5,xor(cin,t6))
| or(cin,or(not(t6),xor(t5,xor(cin,t6)))) = or(cin,xor(t5,xor(cin,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,or(not(t6),xor(t5,xor(cin,t6)))),or(cin,or(not(t6),xor(t5,xor(cin,t6))))) ),[1,1],$fot(xor(t5,xor(cin,t6)))]]) ).
cnf(refute_0_2445,plain,
( or(not(t6),xor(t5,xor(cin,t6))) != xor(t5,xor(cin,t6))
| or(cin,or(not(t6),xor(t5,xor(cin,t6)))) = or(cin,xor(t5,xor(cin,t6))) ),
inference(resolve,[$cnf( $equal(or(cin,or(not(t6),xor(t5,xor(cin,t6)))),or(cin,or(not(t6),xor(t5,xor(cin,t6))))) )],[refute_0_2443,refute_0_2444]) ).
cnf(refute_0_2446,plain,
or(cin,or(not(t6),xor(t5,xor(cin,t6)))) = or(cin,xor(t5,xor(cin,t6))),
inference(resolve,[$cnf( $equal(or(not(t6),xor(t5,xor(cin,t6))),xor(t5,xor(cin,t6))) )],[refute_0_2442,refute_0_2445]) ).
cnf(refute_0_2447,plain,
( or(cin,or(not(t6),xor(t5,xor(cin,t6)))) != not(xor(cin,t6))
| or(cin,or(not(t6),xor(t5,xor(cin,t6)))) != or(cin,xor(t5,xor(cin,t6)))
| or(cin,xor(t5,xor(cin,t6))) = not(xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,or(not(t6),xor(t5,xor(cin,t6)))),not(xor(cin,t6))) ),[0],$fot(or(cin,xor(t5,xor(cin,t6))))]]) ).
cnf(refute_0_2448,plain,
( or(cin,or(not(t6),xor(t5,xor(cin,t6)))) != not(xor(cin,t6))
| or(cin,xor(t5,xor(cin,t6))) = not(xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(or(cin,or(not(t6),xor(t5,xor(cin,t6)))),or(cin,xor(t5,xor(cin,t6)))) )],[refute_0_2446,refute_0_2447]) ).
cnf(refute_0_2449,plain,
or(cin,xor(t5,xor(cin,t6))) = not(xor(cin,t6)),
inference(resolve,[$cnf( $equal(or(cin,or(not(t6),xor(t5,xor(cin,t6)))),not(xor(cin,t6))) )],[refute_0_2413,refute_0_2448]) ).
cnf(refute_0_2450,plain,
xor(t7,t6) = xor(t6,t7),
inference(subst,[],[refute_0_1913:[bind(X,$fot(t6)),bind(Y,$fot(t7))]]) ).
cnf(refute_0_2451,plain,
xor(cin,xor(t5,X_335)) = xor(xor(cin,t5),X_335),
inference(subst,[],[xor_associative:[bind(X,$fot(cin)),bind(Y,$fot(t5)),bind(Z,$fot(X_335))]]) ).
cnf(refute_0_2452,plain,
or(and(cin,not(t5)),and(not(cin),t5)) = xor(cin,t5),
inference(subst,[],[refute_0_9:[bind(X,$fot(cin)),bind(Y,$fot(t5))]]) ).
cnf(refute_0_2453,plain,
and(not(t5),or(cin,not(t5))) = not(t5),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(not(t5))),bind(X_20,$fot(cin))]]) ).
cnf(refute_0_2454,plain,
( and(not(t5),or(cin,not(t5))) != not(t5)
| or(cin,not(t5)) != cin
| and(not(t5),cin) = not(t5) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),or(cin,not(t5))),not(t5)) ),[0,1],$fot(cin)]]) ).
cnf(refute_0_2455,plain,
( and(not(t5),or(cin,not(t5))) != not(t5)
| and(not(t5),cin) = not(t5) ),
inference(resolve,[$cnf( $equal(or(cin,not(t5)),cin) )],[refute_0_2280,refute_0_2454]) ).
cnf(refute_0_2456,plain,
and(not(t5),cin) = not(t5),
inference(resolve,[$cnf( $equal(and(not(t5),or(cin,not(t5))),not(t5)) )],[refute_0_2453,refute_0_2455]) ).
cnf(refute_0_2457,plain,
and(not(t5),cin) = and(cin,not(t5)),
inference(subst,[],[refute_0_116:[bind(X,$fot(cin)),bind(Y,$fot(not(t5)))]]) ).
cnf(refute_0_2458,plain,
( and(not(t5),cin) != and(cin,not(t5))
| and(not(t5),cin) != not(t5)
| and(cin,not(t5)) = not(t5) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),cin),not(t5)) ),[0],$fot(and(cin,not(t5)))]]) ).
cnf(refute_0_2459,plain,
( and(not(t5),cin) != not(t5)
| and(cin,not(t5)) = not(t5) ),
inference(resolve,[$cnf( $equal(and(not(t5),cin),and(cin,not(t5))) )],[refute_0_2457,refute_0_2458]) ).
cnf(refute_0_2460,plain,
and(cin,not(t5)) = not(t5),
inference(resolve,[$cnf( $equal(and(not(t5),cin),not(t5)) )],[refute_0_2456,refute_0_2459]) ).
cnf(refute_0_2461,plain,
( and(cin,not(t5)) != not(t5)
| or(and(cin,not(t5)),and(not(cin),t5)) != xor(cin,t5)
| or(not(t5),and(not(cin),t5)) = xor(cin,t5) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(cin,not(t5)),and(not(cin),t5)),xor(cin,t5)) ),[0,0],$fot(not(t5))]]) ).
cnf(refute_0_2462,plain,
( or(and(cin,not(t5)),and(not(cin),t5)) != xor(cin,t5)
| or(not(t5),and(not(cin),t5)) = xor(cin,t5) ),
inference(resolve,[$cnf( $equal(and(cin,not(t5)),not(t5)) )],[refute_0_2460,refute_0_2461]) ).
cnf(refute_0_2463,plain,
or(not(t5),and(not(cin),t5)) = xor(cin,t5),
inference(resolve,[$cnf( $equal(or(and(cin,not(t5)),and(not(cin),t5)),xor(cin,t5)) )],[refute_0_2452,refute_0_2462]) ).
cnf(refute_0_2464,plain,
or(not(t5),not(cin)) = not(and(t5,cin)),
inference(subst,[],[refute_0_147:[bind(X,$fot(t5)),bind(Y,$fot(cin))]]) ).
cnf(refute_0_2465,plain,
( not(and(t5,cin)) != t7
| or(not(t5),not(cin)) != not(and(t5,cin))
| or(not(t5),not(cin)) = t7 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t5),not(cin)))),bind(Y0,$fot(not(and(t5,cin)))),bind(Z0,$fot(t7))]]) ).
cnf(refute_0_2466,plain,
( not(and(t5,cin)) != t7
| or(not(t5),not(cin)) = t7 ),
inference(resolve,[$cnf( $equal(or(not(t5),not(cin)),not(and(t5,cin))) )],[refute_0_2464,refute_0_2465]) ).
cnf(refute_0_2467,plain,
or(not(t5),not(cin)) = t7,
inference(resolve,[$cnf( $equal(not(and(t5,cin)),t7) )],[t7,refute_0_2466]) ).
cnf(refute_0_2468,plain,
and(not(cin),t5) = and(t5,not(cin)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t5)),bind(Y,$fot(not(cin)))]]) ).
cnf(refute_0_2469,plain,
( and(not(cin),t5) != and(t5,not(cin))
| and(t5,not(cin)) != not(cin)
| and(not(cin),t5) = not(cin) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(cin),t5))),bind(Y0,$fot(and(t5,not(cin)))),bind(Z0,$fot(not(cin)))]]) ).
cnf(refute_0_2470,plain,
( and(t5,not(cin)) != not(cin)
| and(not(cin),t5) = not(cin) ),
inference(resolve,[$cnf( $equal(and(not(cin),t5),and(t5,not(cin))) )],[refute_0_2468,refute_0_2469]) ).
cnf(refute_0_2471,plain,
and(not(cin),t5) = not(cin),
inference(resolve,[$cnf( $equal(and(t5,not(cin)),not(cin)) )],[refute_0_2289,refute_0_2470]) ).
cnf(refute_0_2472,plain,
or(not(t5),and(not(cin),t5)) = or(not(t5),and(not(cin),t5)),
introduced(tautology,[refl,[$fot(or(not(t5),and(not(cin),t5)))]]) ).
cnf(refute_0_2473,plain,
( and(not(cin),t5) != not(cin)
| or(not(t5),and(not(cin),t5)) != or(not(t5),and(not(cin),t5))
| or(not(t5),and(not(cin),t5)) = or(not(t5),not(cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t5),and(not(cin),t5)),or(not(t5),and(not(cin),t5))) ),[1,1],$fot(not(cin))]]) ).
cnf(refute_0_2474,plain,
( and(not(cin),t5) != not(cin)
| or(not(t5),and(not(cin),t5)) = or(not(t5),not(cin)) ),
inference(resolve,[$cnf( $equal(or(not(t5),and(not(cin),t5)),or(not(t5),and(not(cin),t5))) )],[refute_0_2472,refute_0_2473]) ).
cnf(refute_0_2475,plain,
or(not(t5),and(not(cin),t5)) = or(not(t5),not(cin)),
inference(resolve,[$cnf( $equal(and(not(cin),t5),not(cin)) )],[refute_0_2471,refute_0_2474]) ).
cnf(refute_0_2476,plain,
( or(not(t5),and(not(cin),t5)) != or(not(t5),not(cin))
| or(not(t5),not(cin)) != t7
| or(not(t5),and(not(cin),t5)) = t7 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t5),and(not(cin),t5)))),bind(Y0,$fot(or(not(t5),not(cin)))),bind(Z0,$fot(t7))]]) ).
cnf(refute_0_2477,plain,
( or(not(t5),not(cin)) != t7
| or(not(t5),and(not(cin),t5)) = t7 ),
inference(resolve,[$cnf( $equal(or(not(t5),and(not(cin),t5)),or(not(t5),not(cin))) )],[refute_0_2475,refute_0_2476]) ).
cnf(refute_0_2478,plain,
or(not(t5),and(not(cin),t5)) = t7,
inference(resolve,[$cnf( $equal(or(not(t5),not(cin)),t7) )],[refute_0_2467,refute_0_2477]) ).
cnf(refute_0_2479,plain,
( or(not(t5),and(not(cin),t5)) != t7
| or(not(t5),and(not(cin),t5)) != xor(cin,t5)
| t7 = xor(cin,t5) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t5),and(not(cin),t5)),xor(cin,t5)) ),[0],$fot(t7)]]) ).
cnf(refute_0_2480,plain,
( or(not(t5),and(not(cin),t5)) != xor(cin,t5)
| t7 = xor(cin,t5) ),
inference(resolve,[$cnf( $equal(or(not(t5),and(not(cin),t5)),t7) )],[refute_0_2478,refute_0_2479]) ).
cnf(refute_0_2481,plain,
t7 = xor(cin,t5),
inference(resolve,[$cnf( $equal(or(not(t5),and(not(cin),t5)),xor(cin,t5)) )],[refute_0_2463,refute_0_2480]) ).
cnf(refute_0_2482,plain,
( t7 != xor(cin,t5)
| xor(cin,t5) = t7 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(t7)),bind(Y0,$fot(xor(cin,t5)))]]) ).
cnf(refute_0_2483,plain,
xor(cin,t5) = t7,
inference(resolve,[$cnf( $equal(t7,xor(cin,t5)) )],[refute_0_2481,refute_0_2482]) ).
cnf(refute_0_2484,plain,
( xor(cin,t5) != t7
| xor(cin,xor(t5,X_335)) != xor(xor(cin,t5),X_335)
| xor(cin,xor(t5,X_335)) = xor(t7,X_335) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t5,X_335)),xor(xor(cin,t5),X_335)) ),[1,0],$fot(t7)]]) ).
cnf(refute_0_2485,plain,
( xor(cin,xor(t5,X_335)) != xor(xor(cin,t5),X_335)
| xor(cin,xor(t5,X_335)) = xor(t7,X_335) ),
inference(resolve,[$cnf( $equal(xor(cin,t5),t7) )],[refute_0_2483,refute_0_2484]) ).
cnf(refute_0_2486,plain,
xor(cin,xor(t5,X_335)) = xor(t7,X_335),
inference(resolve,[$cnf( $equal(xor(cin,xor(t5,X_335)),xor(xor(cin,t5),X_335)) )],[refute_0_2451,refute_0_2485]) ).
cnf(refute_0_2487,plain,
xor(cin,xor(t5,t6)) = xor(t7,t6),
inference(subst,[],[refute_0_2486:[bind(X_335,$fot(t6))]]) ).
cnf(refute_0_2488,plain,
( xor(cin,xor(t5,t6)) != xor(t7,t6)
| xor(t7,t6) != xor(t6,t7)
| xor(cin,xor(t5,t6)) = xor(t6,t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(cin,xor(t5,t6)))),bind(Y0,$fot(xor(t7,t6))),bind(Z0,$fot(xor(t6,t7)))]]) ).
cnf(refute_0_2489,plain,
( xor(t7,t6) != xor(t6,t7)
| xor(cin,xor(t5,t6)) = xor(t6,t7) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t5,t6)),xor(t7,t6)) )],[refute_0_2487,refute_0_2488]) ).
cnf(refute_0_2490,plain,
xor(cin,xor(t5,t6)) = xor(t6,t7),
inference(resolve,[$cnf( $equal(xor(t7,t6),xor(t6,t7)) )],[refute_0_2450,refute_0_2489]) ).
cnf(refute_0_2491,plain,
xor(t5,xor(cin,t6)) = xor(cin,xor(t5,t6)),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(cin)),bind(X_334,$fot(t5)),bind(X_335,$fot(t6))]]) ).
cnf(refute_0_2492,plain,
( xor(cin,xor(t5,t6)) != xor(t6,t7)
| xor(t5,xor(cin,t6)) != xor(cin,xor(t5,t6))
| xor(t5,xor(cin,t6)) = xor(t6,t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t5,xor(cin,t6)))),bind(Y0,$fot(xor(cin,xor(t5,t6)))),bind(Z0,$fot(xor(t6,t7)))]]) ).
cnf(refute_0_2493,plain,
( xor(cin,xor(t5,t6)) != xor(t6,t7)
| xor(t5,xor(cin,t6)) = xor(t6,t7) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(cin,t6)),xor(cin,xor(t5,t6))) )],[refute_0_2491,refute_0_2492]) ).
cnf(refute_0_2494,plain,
xor(t5,xor(cin,t6)) = xor(t6,t7),
inference(resolve,[$cnf( $equal(xor(cin,xor(t5,t6)),xor(t6,t7)) )],[refute_0_2490,refute_0_2493]) ).
cnf(refute_0_2495,plain,
or(cin,xor(t5,xor(cin,t6))) = or(cin,xor(t5,xor(cin,t6))),
introduced(tautology,[refl,[$fot(or(cin,xor(t5,xor(cin,t6))))]]) ).
cnf(refute_0_2496,plain,
( or(cin,xor(t5,xor(cin,t6))) != or(cin,xor(t5,xor(cin,t6)))
| xor(t5,xor(cin,t6)) != xor(t6,t7)
| or(cin,xor(t5,xor(cin,t6))) = or(cin,xor(t6,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,xor(t5,xor(cin,t6))),or(cin,xor(t5,xor(cin,t6)))) ),[1,1],$fot(xor(t6,t7))]]) ).
cnf(refute_0_2497,plain,
( xor(t5,xor(cin,t6)) != xor(t6,t7)
| or(cin,xor(t5,xor(cin,t6))) = or(cin,xor(t6,t7)) ),
inference(resolve,[$cnf( $equal(or(cin,xor(t5,xor(cin,t6))),or(cin,xor(t5,xor(cin,t6)))) )],[refute_0_2495,refute_0_2496]) ).
cnf(refute_0_2498,plain,
or(cin,xor(t5,xor(cin,t6))) = or(cin,xor(t6,t7)),
inference(resolve,[$cnf( $equal(xor(t5,xor(cin,t6)),xor(t6,t7)) )],[refute_0_2494,refute_0_2497]) ).
cnf(refute_0_2499,plain,
( or(cin,xor(t5,xor(cin,t6))) != not(xor(cin,t6))
| or(cin,xor(t5,xor(cin,t6))) != or(cin,xor(t6,t7))
| or(cin,xor(t6,t7)) = not(xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,xor(t5,xor(cin,t6))),not(xor(cin,t6))) ),[0],$fot(or(cin,xor(t6,t7)))]]) ).
cnf(refute_0_2500,plain,
( or(cin,xor(t5,xor(cin,t6))) != not(xor(cin,t6))
| or(cin,xor(t6,t7)) = not(xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(or(cin,xor(t5,xor(cin,t6))),or(cin,xor(t6,t7))) )],[refute_0_2498,refute_0_2499]) ).
cnf(refute_0_2501,plain,
or(cin,xor(t6,t7)) = not(xor(cin,t6)),
inference(resolve,[$cnf( $equal(or(cin,xor(t5,xor(cin,t6))),not(xor(cin,t6))) )],[refute_0_2449,refute_0_2500]) ).
cnf(refute_0_2502,plain,
or(cin,xor(t6,t7)) = or(cin,xor(t6,t7)),
introduced(tautology,[refl,[$fot(or(cin,xor(t6,t7)))]]) ).
cnf(refute_0_2503,plain,
( or(cin,xor(t6,t7)) != or(cin,xor(t6,t7))
| xor(t6,t7) != sum
| or(cin,xor(t6,t7)) = or(cin,sum) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,xor(t6,t7)),or(cin,xor(t6,t7))) ),[1,1],$fot(sum)]]) ).
cnf(refute_0_2504,plain,
( xor(t6,t7) != sum
| or(cin,xor(t6,t7)) = or(cin,sum) ),
inference(resolve,[$cnf( $equal(or(cin,xor(t6,t7)),or(cin,xor(t6,t7))) )],[refute_0_2502,refute_0_2503]) ).
cnf(refute_0_2505,plain,
or(cin,xor(t6,t7)) = or(cin,sum),
inference(resolve,[$cnf( $equal(xor(t6,t7),sum) )],[refute_0_1154,refute_0_2504]) ).
cnf(refute_0_2506,plain,
( or(cin,xor(t6,t7)) != not(xor(cin,t6))
| or(cin,xor(t6,t7)) != or(cin,sum)
| or(cin,sum) = not(xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,xor(t6,t7)),not(xor(cin,t6))) ),[0],$fot(or(cin,sum))]]) ).
cnf(refute_0_2507,plain,
( or(cin,xor(t6,t7)) != not(xor(cin,t6))
| or(cin,sum) = not(xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(or(cin,xor(t6,t7)),or(cin,sum)) )],[refute_0_2505,refute_0_2506]) ).
cnf(refute_0_2508,plain,
or(cin,sum) = not(xor(cin,t6)),
inference(resolve,[$cnf( $equal(or(cin,xor(t6,t7)),not(xor(cin,t6))) )],[refute_0_2501,refute_0_2507]) ).
cnf(refute_0_2509,plain,
( or(cin,sum) != not(xor(cin,t6))
| not(xor(cin,t6)) = or(cin,sum) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(cin,sum))),bind(Y0,$fot(not(xor(cin,t6))))]]) ).
cnf(refute_0_2510,plain,
not(xor(cin,t6)) = or(cin,sum),
inference(resolve,[$cnf( $equal(or(cin,sum),not(xor(cin,t6))) )],[refute_0_2508,refute_0_2509]) ).
cnf(refute_0_2511,plain,
xor(t4,xor(t5,X_338)) = xor(t6,X_338),
inference(subst,[],[refute_0_1000:[bind(X_335,$fot(X_338))]]) ).
cnf(refute_0_2512,plain,
xor(X_338,t5) = xor(t5,X_338),
inference(subst,[],[xor_commutative:[bind(X,$fot(X_338)),bind(Y,$fot(t5))]]) ).
cnf(refute_0_2513,plain,
( xor(X_338,t5) != xor(t5,X_338)
| xor(t5,X_338) = xor(X_338,t5) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X_338,t5))),bind(Y0,$fot(xor(t5,X_338)))]]) ).
cnf(refute_0_2514,plain,
xor(t5,X_338) = xor(X_338,t5),
inference(resolve,[$cnf( $equal(xor(X_338,t5),xor(t5,X_338)) )],[refute_0_2512,refute_0_2513]) ).
cnf(refute_0_2515,plain,
( xor(t4,xor(t5,X_338)) != xor(t6,X_338)
| xor(t5,X_338) != xor(X_338,t5)
| xor(t4,xor(X_338,t5)) = xor(t6,X_338) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,xor(t5,X_338)),xor(t6,X_338)) ),[0,1],$fot(xor(X_338,t5))]]) ).
cnf(refute_0_2516,plain,
( xor(t4,xor(t5,X_338)) != xor(t6,X_338)
| xor(t4,xor(X_338,t5)) = xor(t6,X_338) ),
inference(resolve,[$cnf( $equal(xor(t5,X_338),xor(X_338,t5)) )],[refute_0_2514,refute_0_2515]) ).
cnf(refute_0_2517,plain,
xor(t4,xor(X_338,t5)) = xor(t6,X_338),
inference(resolve,[$cnf( $equal(xor(t4,xor(t5,X_338)),xor(t6,X_338)) )],[refute_0_2511,refute_0_2516]) ).
cnf(refute_0_2518,plain,
xor(t4,xor(cin,t5)) = xor(t6,cin),
inference(subst,[],[refute_0_2517:[bind(X_338,$fot(cin))]]) ).
cnf(refute_0_2519,plain,
( xor(cin,t5) != t7
| xor(t4,xor(cin,t5)) != xor(t6,cin)
| xor(t4,t7) = xor(t6,cin) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,xor(cin,t5)),xor(t6,cin)) ),[0,1],$fot(t7)]]) ).
cnf(refute_0_2520,plain,
( xor(t4,xor(cin,t5)) != xor(t6,cin)
| xor(t4,t7) = xor(t6,cin) ),
inference(resolve,[$cnf( $equal(xor(cin,t5),t7) )],[refute_0_2483,refute_0_2519]) ).
cnf(refute_0_2521,plain,
xor(t4,t7) = xor(t6,cin),
inference(resolve,[$cnf( $equal(xor(t4,xor(cin,t5)),xor(t6,cin)) )],[refute_0_2518,refute_0_2520]) ).
cnf(refute_0_2522,plain,
( xor(t4,t7) != xor(t6,cin)
| xor(t6,cin) != xor(cin,t6)
| xor(t4,t7) = xor(cin,t6) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(t4,t7),xor(cin,t6)) ),[0],$fot(xor(t6,cin))]]) ).
cnf(refute_0_2523,plain,
( xor(t4,t7) != xor(t6,cin)
| xor(t4,t7) = xor(cin,t6) ),
inference(resolve,[$cnf( $equal(xor(t6,cin),xor(cin,t6)) )],[refute_0_2356,refute_0_2522]) ).
cnf(refute_0_2524,plain,
xor(t4,t7) = xor(cin,t6),
inference(resolve,[$cnf( $equal(xor(t4,t7),xor(t6,cin)) )],[refute_0_2521,refute_0_2523]) ).
cnf(refute_0_2525,plain,
not(xor(t4,t7)) = not(xor(t4,t7)),
introduced(tautology,[refl,[$fot(not(xor(t4,t7)))]]) ).
cnf(refute_0_2526,plain,
( not(xor(t4,t7)) != not(xor(t4,t7))
| xor(t4,t7) != xor(cin,t6)
| not(xor(t4,t7)) = not(xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t4,t7)),not(xor(t4,t7))) ),[1,0],$fot(xor(cin,t6))]]) ).
cnf(refute_0_2527,plain,
( xor(t4,t7) != xor(cin,t6)
| not(xor(t4,t7)) = not(xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(not(xor(t4,t7)),not(xor(t4,t7))) )],[refute_0_2525,refute_0_2526]) ).
cnf(refute_0_2528,plain,
not(xor(t4,t7)) = not(xor(cin,t6)),
inference(resolve,[$cnf( $equal(xor(t4,t7),xor(cin,t6)) )],[refute_0_2524,refute_0_2527]) ).
cnf(refute_0_2529,plain,
( not(xor(cin,t6)) != or(cin,sum)
| not(xor(t4,t7)) != not(xor(cin,t6))
| not(xor(t4,t7)) = or(cin,sum) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t4,t7)))),bind(Y0,$fot(not(xor(cin,t6)))),bind(Z0,$fot(or(cin,sum)))]]) ).
cnf(refute_0_2530,plain,
( not(xor(cin,t6)) != or(cin,sum)
| not(xor(t4,t7)) = or(cin,sum) ),
inference(resolve,[$cnf( $equal(not(xor(t4,t7)),not(xor(cin,t6))) )],[refute_0_2528,refute_0_2529]) ).
cnf(refute_0_2531,plain,
not(xor(t4,t7)) = or(cin,sum),
inference(resolve,[$cnf( $equal(not(xor(cin,t6)),or(cin,sum)) )],[refute_0_2510,refute_0_2530]) ).
cnf(refute_0_2532,plain,
( not(xor(t4,t7)) != or(cin,sum)
| or(sum,t4) != not(xor(t4,t7))
| or(sum,t4) = or(cin,sum) ),
introduced(tautology,[equality,[$cnf( $equal(or(sum,t4),not(xor(t4,t7))) ),[1],$fot(or(cin,sum))]]) ).
cnf(refute_0_2533,plain,
( or(sum,t4) != not(xor(t4,t7))
| or(sum,t4) = or(cin,sum) ),
inference(resolve,[$cnf( $equal(not(xor(t4,t7)),or(cin,sum)) )],[refute_0_2531,refute_0_2532]) ).
cnf(refute_0_2534,plain,
or(sum,t4) = or(cin,sum),
inference(resolve,[$cnf( $equal(or(sum,t4),not(xor(t4,t7))) )],[refute_0_1171,refute_0_2533]) ).
cnf(refute_0_2535,plain,
and(t3,or(sum,t4)) = and(t3,or(sum,t4)),
introduced(tautology,[refl,[$fot(and(t3,or(sum,t4)))]]) ).
cnf(refute_0_2536,plain,
( and(t3,or(sum,t4)) != and(t3,or(sum,t4))
| or(sum,t4) != or(cin,sum)
| and(t3,or(sum,t4)) = and(t3,or(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,or(sum,t4)),and(t3,or(sum,t4))) ),[1,1],$fot(or(cin,sum))]]) ).
cnf(refute_0_2537,plain,
( or(sum,t4) != or(cin,sum)
| and(t3,or(sum,t4)) = and(t3,or(cin,sum)) ),
inference(resolve,[$cnf( $equal(and(t3,or(sum,t4)),and(t3,or(sum,t4))) )],[refute_0_2535,refute_0_2536]) ).
cnf(refute_0_2538,plain,
and(t3,or(sum,t4)) = and(t3,or(cin,sum)),
inference(resolve,[$cnf( $equal(or(sum,t4),or(cin,sum)) )],[refute_0_2534,refute_0_2537]) ).
cnf(refute_0_2539,plain,
( and(t3,or(sum,t4)) != and(t3,or(cin,sum))
| and(t3,or(sum,t4)) != xor(t2,t7)
| and(t3,or(cin,sum)) = xor(t2,t7) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,or(sum,t4)),xor(t2,t7)) ),[0],$fot(and(t3,or(cin,sum)))]]) ).
cnf(refute_0_2540,plain,
( and(t3,or(sum,t4)) != xor(t2,t7)
| and(t3,or(cin,sum)) = xor(t2,t7) ),
inference(resolve,[$cnf( $equal(and(t3,or(sum,t4)),and(t3,or(cin,sum))) )],[refute_0_2538,refute_0_2539]) ).
cnf(refute_0_2541,plain,
and(t3,or(cin,sum)) = xor(t2,t7),
inference(resolve,[$cnf( $equal(and(t3,or(sum,t4)),xor(t2,t7)) )],[refute_0_2268,refute_0_2540]) ).
cnf(refute_0_2542,plain,
( and(not(t4),or(cin,sum)) != and(t2,and(t3,or(cin,sum)))
| and(t3,or(cin,sum)) != xor(t2,t7)
| and(not(t4),or(cin,sum)) = and(t2,xor(t2,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),or(cin,sum)),and(t2,and(t3,or(cin,sum)))) ),[1,1],$fot(xor(t2,t7))]]) ).
cnf(refute_0_2543,plain,
( and(not(t4),or(cin,sum)) != and(t2,and(t3,or(cin,sum)))
| and(not(t4),or(cin,sum)) = and(t2,xor(t2,t7)) ),
inference(resolve,[$cnf( $equal(and(t3,or(cin,sum)),xor(t2,t7)) )],[refute_0_2541,refute_0_2542]) ).
cnf(refute_0_2544,plain,
and(not(t4),or(cin,sum)) = and(t2,xor(t2,t7)),
inference(resolve,[$cnf( $equal(and(not(t4),or(cin,sum)),and(t2,and(t3,or(cin,sum)))) )],[refute_0_612,refute_0_2543]) ).
cnf(refute_0_2545,plain,
or(and(t4,not(xor(t4,t7))),and(not(t4),xor(t4,t7))) = xor(t4,xor(t4,t7)),
inference(subst,[],[refute_0_9:[bind(X,$fot(t4)),bind(Y,$fot(xor(t4,t7)))]]) ).
cnf(refute_0_2546,plain,
and(t4,or(t4,not(t7))) = t4,
inference(subst,[],[and_absorption:[bind(X,$fot(t4)),bind(Y,$fot(not(t7)))]]) ).
cnf(refute_0_2547,plain,
( and(t4,or(t4,not(t7))) != t4
| or(t4,not(t7)) != not(xor(t4,t7))
| and(t4,not(xor(t4,t7))) = t4 ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,or(t4,not(t7))),t4) ),[0,1],$fot(not(xor(t4,t7)))]]) ).
cnf(refute_0_2548,plain,
( and(t4,or(t4,not(t7))) != t4
| and(t4,not(xor(t4,t7))) = t4 ),
inference(resolve,[$cnf( $equal(or(t4,not(t7)),not(xor(t4,t7))) )],[refute_0_791,refute_0_2547]) ).
cnf(refute_0_2549,plain,
and(t4,not(xor(t4,t7))) = t4,
inference(resolve,[$cnf( $equal(and(t4,or(t4,not(t7))),t4) )],[refute_0_2546,refute_0_2548]) ).
cnf(refute_0_2550,plain,
( and(t4,not(xor(t4,t7))) != t4
| or(and(t4,not(xor(t4,t7))),and(not(t4),xor(t4,t7))) != xor(t4,xor(t4,t7))
| or(t4,and(not(t4),xor(t4,t7))) = xor(t4,xor(t4,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,not(xor(t4,t7))),and(not(t4),xor(t4,t7))),xor(t4,xor(t4,t7))) ),[0,0],$fot(t4)]]) ).
cnf(refute_0_2551,plain,
( or(and(t4,not(xor(t4,t7))),and(not(t4),xor(t4,t7))) != xor(t4,xor(t4,t7))
| or(t4,and(not(t4),xor(t4,t7))) = xor(t4,xor(t4,t7)) ),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t4,t7))),t4) )],[refute_0_2549,refute_0_2550]) ).
cnf(refute_0_2552,plain,
or(t4,and(not(t4),xor(t4,t7))) = xor(t4,xor(t4,t7)),
inference(resolve,[$cnf( $equal(or(and(t4,not(xor(t4,t7))),and(not(t4),xor(t4,t7))),xor(t4,xor(t4,t7))) )],[refute_0_2545,refute_0_2551]) ).
cnf(refute_0_2553,plain,
and(xor(t4,t7),or(not(t4),xor(t4,t7))) = xor(t4,t7),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(xor(t4,t7))),bind(X_20,$fot(not(t4)))]]) ).
cnf(refute_0_2554,plain,
or(not(t4),and(t7,not(t4))) = not(t4),
inference(subst,[],[refute_0_222:[bind(X_13,$fot(not(t4))),bind(X_14,$fot(t7))]]) ).
cnf(refute_0_2555,plain,
( and(t7,not(t4)) != xor(t4,t7)
| or(not(t4),and(t7,not(t4))) != not(t4)
| or(not(t4),xor(t4,t7)) = not(t4) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t4),and(t7,not(t4))),not(t4)) ),[0,1],$fot(xor(t4,t7))]]) ).
cnf(refute_0_2556,plain,
( or(not(t4),and(t7,not(t4))) != not(t4)
| or(not(t4),xor(t4,t7)) = not(t4) ),
inference(resolve,[$cnf( $equal(and(t7,not(t4)),xor(t4,t7)) )],[refute_0_780,refute_0_2555]) ).
cnf(refute_0_2557,plain,
or(not(t4),xor(t4,t7)) = not(t4),
inference(resolve,[$cnf( $equal(or(not(t4),and(t7,not(t4))),not(t4)) )],[refute_0_2554,refute_0_2556]) ).
cnf(refute_0_2558,plain,
( and(xor(t4,t7),or(not(t4),xor(t4,t7))) != xor(t4,t7)
| or(not(t4),xor(t4,t7)) != not(t4)
| and(xor(t4,t7),not(t4)) = xor(t4,t7) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t4,t7),or(not(t4),xor(t4,t7))),xor(t4,t7)) ),[0,1],$fot(not(t4))]]) ).
cnf(refute_0_2559,plain,
( and(xor(t4,t7),or(not(t4),xor(t4,t7))) != xor(t4,t7)
| and(xor(t4,t7),not(t4)) = xor(t4,t7) ),
inference(resolve,[$cnf( $equal(or(not(t4),xor(t4,t7)),not(t4)) )],[refute_0_2557,refute_0_2558]) ).
cnf(refute_0_2560,plain,
and(xor(t4,t7),not(t4)) = xor(t4,t7),
inference(resolve,[$cnf( $equal(and(xor(t4,t7),or(not(t4),xor(t4,t7))),xor(t4,t7)) )],[refute_0_2553,refute_0_2559]) ).
cnf(refute_0_2561,plain,
and(xor(t4,t7),not(t4)) = and(not(t4),xor(t4,t7)),
inference(subst,[],[refute_0_116:[bind(X,$fot(not(t4))),bind(Y,$fot(xor(t4,t7)))]]) ).
cnf(refute_0_2562,plain,
( and(xor(t4,t7),not(t4)) != and(not(t4),xor(t4,t7))
| and(xor(t4,t7),not(t4)) != xor(t4,t7)
| and(not(t4),xor(t4,t7)) = xor(t4,t7) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t4,t7),not(t4)),xor(t4,t7)) ),[0],$fot(and(not(t4),xor(t4,t7)))]]) ).
cnf(refute_0_2563,plain,
( and(xor(t4,t7),not(t4)) != xor(t4,t7)
| and(not(t4),xor(t4,t7)) = xor(t4,t7) ),
inference(resolve,[$cnf( $equal(and(xor(t4,t7),not(t4)),and(not(t4),xor(t4,t7))) )],[refute_0_2561,refute_0_2562]) ).
cnf(refute_0_2564,plain,
and(not(t4),xor(t4,t7)) = xor(t4,t7),
inference(resolve,[$cnf( $equal(and(xor(t4,t7),not(t4)),xor(t4,t7)) )],[refute_0_2560,refute_0_2563]) ).
cnf(refute_0_2565,plain,
or(t4,and(not(t4),xor(t4,t7))) = or(t4,and(not(t4),xor(t4,t7))),
introduced(tautology,[refl,[$fot(or(t4,and(not(t4),xor(t4,t7))))]]) ).
cnf(refute_0_2566,plain,
( and(not(t4),xor(t4,t7)) != xor(t4,t7)
| or(t4,and(not(t4),xor(t4,t7))) != or(t4,and(not(t4),xor(t4,t7)))
| or(t4,and(not(t4),xor(t4,t7))) = or(t4,xor(t4,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,and(not(t4),xor(t4,t7))),or(t4,and(not(t4),xor(t4,t7)))) ),[1,1],$fot(xor(t4,t7))]]) ).
cnf(refute_0_2567,plain,
( and(not(t4),xor(t4,t7)) != xor(t4,t7)
| or(t4,and(not(t4),xor(t4,t7))) = or(t4,xor(t4,t7)) ),
inference(resolve,[$cnf( $equal(or(t4,and(not(t4),xor(t4,t7))),or(t4,and(not(t4),xor(t4,t7)))) )],[refute_0_2565,refute_0_2566]) ).
cnf(refute_0_2568,plain,
or(t4,and(not(t4),xor(t4,t7))) = or(t4,xor(t4,t7)),
inference(resolve,[$cnf( $equal(and(not(t4),xor(t4,t7)),xor(t4,t7)) )],[refute_0_2564,refute_0_2567]) ).
cnf(refute_0_2569,plain,
( or(t4,and(not(t4),xor(t4,t7))) != or(t4,xor(t4,t7))
| or(t4,and(not(t4),xor(t4,t7))) != xor(t4,xor(t4,t7))
| or(t4,xor(t4,t7)) = xor(t4,xor(t4,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,and(not(t4),xor(t4,t7))),xor(t4,xor(t4,t7))) ),[0],$fot(or(t4,xor(t4,t7)))]]) ).
cnf(refute_0_2570,plain,
( or(t4,and(not(t4),xor(t4,t7))) != xor(t4,xor(t4,t7))
| or(t4,xor(t4,t7)) = xor(t4,xor(t4,t7)) ),
inference(resolve,[$cnf( $equal(or(t4,and(not(t4),xor(t4,t7))),or(t4,xor(t4,t7))) )],[refute_0_2568,refute_0_2569]) ).
cnf(refute_0_2571,plain,
or(t4,xor(t4,t7)) = xor(t4,xor(t4,t7)),
inference(resolve,[$cnf( $equal(or(t4,and(not(t4),xor(t4,t7))),xor(t4,xor(t4,t7))) )],[refute_0_2552,refute_0_2570]) ).
cnf(refute_0_2572,plain,
xor(t4,xor(t4,t7)) = t7,
inference(subst,[],[refute_0_88:[bind(X_334,$fot(t4)),bind(X_335,$fot(t7))]]) ).
cnf(refute_0_2573,plain,
( or(t4,xor(t4,t7)) != xor(t4,xor(t4,t7))
| xor(t4,xor(t4,t7)) != t7
| or(t4,xor(t4,t7)) = t7 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(t4,xor(t4,t7)),t7) ),[0],$fot(xor(t4,xor(t4,t7)))]]) ).
cnf(refute_0_2574,plain,
( or(t4,xor(t4,t7)) != xor(t4,xor(t4,t7))
| or(t4,xor(t4,t7)) = t7 ),
inference(resolve,[$cnf( $equal(xor(t4,xor(t4,t7)),t7) )],[refute_0_2572,refute_0_2573]) ).
cnf(refute_0_2575,plain,
or(t4,xor(t4,t7)) = t7,
inference(resolve,[$cnf( $equal(or(t4,xor(t4,t7)),xor(t4,xor(t4,t7))) )],[refute_0_2571,refute_0_2574]) ).
cnf(refute_0_2576,plain,
or(t4,xor(t4,t7)) = or(t4,xor(t4,t7)),
introduced(tautology,[refl,[$fot(or(t4,xor(t4,t7)))]]) ).
cnf(refute_0_2577,plain,
( or(t4,xor(t4,t7)) != or(t4,xor(t4,t7))
| xor(t4,t7) != xor(cin,t6)
| or(t4,xor(t4,t7)) = or(t4,xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,xor(t4,t7)),or(t4,xor(t4,t7))) ),[1,1],$fot(xor(cin,t6))]]) ).
cnf(refute_0_2578,plain,
( xor(t4,t7) != xor(cin,t6)
| or(t4,xor(t4,t7)) = or(t4,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(or(t4,xor(t4,t7)),or(t4,xor(t4,t7))) )],[refute_0_2576,refute_0_2577]) ).
cnf(refute_0_2579,plain,
or(t4,xor(t4,t7)) = or(t4,xor(cin,t6)),
inference(resolve,[$cnf( $equal(xor(t4,t7),xor(cin,t6)) )],[refute_0_2524,refute_0_2578]) ).
cnf(refute_0_2580,plain,
( or(t4,xor(t4,t7)) != or(t4,xor(cin,t6))
| or(t4,xor(t4,t7)) != t7
| or(t4,xor(cin,t6)) = t7 ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,xor(t4,t7)),t7) ),[0],$fot(or(t4,xor(cin,t6)))]]) ).
cnf(refute_0_2581,plain,
( or(t4,xor(t4,t7)) != t7
| or(t4,xor(cin,t6)) = t7 ),
inference(resolve,[$cnf( $equal(or(t4,xor(t4,t7)),or(t4,xor(cin,t6))) )],[refute_0_2579,refute_0_2580]) ).
cnf(refute_0_2582,plain,
or(t4,xor(cin,t6)) = t7,
inference(resolve,[$cnf( $equal(or(t4,xor(t4,t7)),t7) )],[refute_0_2575,refute_0_2581]) ).
cnf(refute_0_2583,plain,
not(or(t4,xor(cin,t6))) = not(or(t4,xor(cin,t6))),
introduced(tautology,[refl,[$fot(not(or(t4,xor(cin,t6))))]]) ).
cnf(refute_0_2584,plain,
( not(or(t4,xor(cin,t6))) != not(or(t4,xor(cin,t6)))
| or(t4,xor(cin,t6)) != t7
| not(or(t4,xor(cin,t6))) = not(t7) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t4,xor(cin,t6))),not(or(t4,xor(cin,t6)))) ),[1,0],$fot(t7)]]) ).
cnf(refute_0_2585,plain,
( or(t4,xor(cin,t6)) != t7
| not(or(t4,xor(cin,t6))) = not(t7) ),
inference(resolve,[$cnf( $equal(not(or(t4,xor(cin,t6))),not(or(t4,xor(cin,t6)))) )],[refute_0_2583,refute_0_2584]) ).
cnf(refute_0_2586,plain,
not(or(t4,xor(cin,t6))) = not(t7),
inference(resolve,[$cnf( $equal(or(t4,xor(cin,t6)),t7) )],[refute_0_2582,refute_0_2585]) ).
cnf(refute_0_2587,plain,
not(or(X,xor(cin,t6))) = and(not(X),not(xor(cin,t6))),
inference(subst,[],[or_demorgan:[bind(Y,$fot(xor(cin,t6)))]]) ).
cnf(refute_0_2588,plain,
( not(or(X,xor(cin,t6))) != and(not(X),not(xor(cin,t6)))
| not(xor(cin,t6)) != or(cin,sum)
| not(or(X,xor(cin,t6))) = and(not(X),or(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(cin,t6))),and(not(X),not(xor(cin,t6)))) ),[1,1],$fot(or(cin,sum))]]) ).
cnf(refute_0_2589,plain,
( not(or(X,xor(cin,t6))) != and(not(X),not(xor(cin,t6)))
| not(or(X,xor(cin,t6))) = and(not(X),or(cin,sum)) ),
inference(resolve,[$cnf( $equal(not(xor(cin,t6)),or(cin,sum)) )],[refute_0_2510,refute_0_2588]) ).
cnf(refute_0_2590,plain,
not(or(X,xor(cin,t6))) = and(not(X),or(cin,sum)),
inference(resolve,[$cnf( $equal(not(or(X,xor(cin,t6))),and(not(X),not(xor(cin,t6)))) )],[refute_0_2587,refute_0_2589]) ).
cnf(refute_0_2591,plain,
( not(or(X,xor(cin,t6))) != and(not(X),or(cin,sum))
| and(not(X),or(cin,sum)) = not(or(X,xor(cin,t6))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X,xor(cin,t6))))),bind(Y0,$fot(and(not(X),or(cin,sum))))]]) ).
cnf(refute_0_2592,plain,
and(not(X),or(cin,sum)) = not(or(X,xor(cin,t6))),
inference(resolve,[$cnf( $equal(not(or(X,xor(cin,t6))),and(not(X),or(cin,sum))) )],[refute_0_2590,refute_0_2591]) ).
cnf(refute_0_2593,plain,
and(not(t4),or(cin,sum)) = not(or(t4,xor(cin,t6))),
inference(subst,[],[refute_0_2592:[bind(X,$fot(t4))]]) ).
cnf(refute_0_2594,plain,
( and(not(t4),or(cin,sum)) != not(or(t4,xor(cin,t6)))
| not(or(t4,xor(cin,t6))) != not(t7)
| and(not(t4),or(cin,sum)) = not(t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t4),or(cin,sum)))),bind(Y0,$fot(not(or(t4,xor(cin,t6))))),bind(Z0,$fot(not(t7)))]]) ).
cnf(refute_0_2595,plain,
( not(or(t4,xor(cin,t6))) != not(t7)
| and(not(t4),or(cin,sum)) = not(t7) ),
inference(resolve,[$cnf( $equal(and(not(t4),or(cin,sum)),not(or(t4,xor(cin,t6)))) )],[refute_0_2593,refute_0_2594]) ).
cnf(refute_0_2596,plain,
and(not(t4),or(cin,sum)) = not(t7),
inference(resolve,[$cnf( $equal(not(or(t4,xor(cin,t6))),not(t7)) )],[refute_0_2586,refute_0_2595]) ).
cnf(refute_0_2597,plain,
( and(not(t4),or(cin,sum)) != and(t2,xor(t2,t7))
| and(not(t4),or(cin,sum)) != not(t7)
| not(t7) = and(t2,xor(t2,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),or(cin,sum)),and(t2,xor(t2,t7))) ),[0],$fot(not(t7))]]) ).
cnf(refute_0_2598,plain,
( and(not(t4),or(cin,sum)) != and(t2,xor(t2,t7))
| not(t7) = and(t2,xor(t2,t7)) ),
inference(resolve,[$cnf( $equal(and(not(t4),or(cin,sum)),not(t7)) )],[refute_0_2596,refute_0_2597]) ).
cnf(refute_0_2599,plain,
not(t7) = and(t2,xor(t2,t7)),
inference(resolve,[$cnf( $equal(and(not(t4),or(cin,sum)),and(t2,xor(t2,t7))) )],[refute_0_2544,refute_0_2598]) ).
cnf(refute_0_2600,plain,
( not(t7) != and(t2,xor(t2,t7))
| and(t2,xor(t2,t7)) = not(t7) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t7))),bind(Y0,$fot(and(t2,xor(t2,t7))))]]) ).
cnf(refute_0_2601,plain,
and(t2,xor(t2,t7)) = not(t7),
inference(resolve,[$cnf( $equal(not(t7),and(t2,xor(t2,t7))) )],[refute_0_2599,refute_0_2600]) ).
cnf(refute_0_2602,plain,
( and(not(a),xor(t2,t7)) != and(t1,and(t2,xor(t2,t7)))
| and(t2,xor(t2,t7)) != not(t7)
| and(not(a),xor(t2,t7)) = and(t1,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(a),xor(t2,t7)),and(t1,and(t2,xor(t2,t7)))) ),[1,1],$fot(not(t7))]]) ).
cnf(refute_0_2603,plain,
( and(not(a),xor(t2,t7)) != and(t1,and(t2,xor(t2,t7)))
| and(not(a),xor(t2,t7)) = and(t1,not(t7)) ),
inference(resolve,[$cnf( $equal(and(t2,xor(t2,t7)),not(t7)) )],[refute_0_2601,refute_0_2602]) ).
cnf(refute_0_2604,plain,
and(not(a),xor(t2,t7)) = and(t1,not(t7)),
inference(resolve,[$cnf( $equal(and(not(a),xor(t2,t7)),and(t1,and(t2,xor(t2,t7)))) )],[refute_0_601,refute_0_2603]) ).
cnf(refute_0_2605,plain,
( and(not(a),xor(t2,t7)) != and(t1,not(t7))
| and(t1,not(t7)) != not(or(carry,t7))
| and(not(a),xor(t2,t7)) = not(or(carry,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(a),xor(t2,t7)),not(or(carry,t7))) ),[0],$fot(and(t1,not(t7)))]]) ).
cnf(refute_0_2606,plain,
( and(not(a),xor(t2,t7)) != and(t1,not(t7))
| and(not(a),xor(t2,t7)) = not(or(carry,t7)) ),
inference(resolve,[$cnf( $equal(and(t1,not(t7)),not(or(carry,t7))) )],[refute_0_242,refute_0_2605]) ).
cnf(refute_0_2607,plain,
and(not(a),xor(t2,t7)) = not(or(carry,t7)),
inference(resolve,[$cnf( $equal(and(not(a),xor(t2,t7)),and(t1,not(t7))) )],[refute_0_2604,refute_0_2606]) ).
cnf(refute_0_2608,plain,
( and(not(a),xor(t2,t7)) != and(t2,and(xor(t2,t7),not(a)))
| and(not(a),xor(t2,t7)) != not(or(carry,t7))
| not(or(carry,t7)) = and(t2,and(xor(t2,t7),not(a))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(a),xor(t2,t7)),and(t2,and(xor(t2,t7),not(a)))) ),[0],$fot(not(or(carry,t7)))]]) ).
cnf(refute_0_2609,plain,
( and(not(a),xor(t2,t7)) != and(t2,and(xor(t2,t7),not(a)))
| not(or(carry,t7)) = and(t2,and(xor(t2,t7),not(a))) ),
inference(resolve,[$cnf( $equal(and(not(a),xor(t2,t7)),not(or(carry,t7))) )],[refute_0_2607,refute_0_2608]) ).
cnf(refute_0_2610,plain,
not(or(carry,t7)) = and(t2,and(xor(t2,t7),not(a))),
inference(resolve,[$cnf( $equal(and(not(a),xor(t2,t7)),and(t2,and(xor(t2,t7),not(a)))) )],[refute_0_307,refute_0_2609]) ).
cnf(refute_0_2611,plain,
not(or(X,xor(t1,t2))) = and(not(X),not(xor(t1,t2))),
inference(subst,[],[or_demorgan:[bind(Y,$fot(xor(t1,t2)))]]) ).
cnf(refute_0_2612,plain,
( not(or(X,xor(t1,t2))) != and(not(X),not(xor(t1,t2)))
| not(xor(t1,t2)) != and(t1,t2)
| not(or(X,xor(t1,t2))) = and(not(X),and(t1,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t1,t2))),and(not(X),not(xor(t1,t2)))) ),[1,1],$fot(and(t1,t2))]]) ).
cnf(refute_0_2613,plain,
( not(or(X,xor(t1,t2))) != and(not(X),not(xor(t1,t2)))
| not(or(X,xor(t1,t2))) = and(not(X),and(t1,t2)) ),
inference(resolve,[$cnf( $equal(not(xor(t1,t2)),and(t1,t2)) )],[refute_0_521,refute_0_2612]) ).
cnf(refute_0_2614,plain,
not(or(X,xor(t1,t2))) = and(not(X),and(t1,t2)),
inference(resolve,[$cnf( $equal(not(or(X,xor(t1,t2))),and(not(X),not(xor(t1,t2)))) )],[refute_0_2611,refute_0_2613]) ).
cnf(refute_0_2615,plain,
not(or(not(and(t1,t2)),X_26)) = and(and(t1,t2),not(X_26)),
inference(subst,[],[refute_0_159:[bind(X,$fot(and(t1,t2)))]]) ).
cnf(refute_0_2616,plain,
( not(and(t1,t2)) != xor(t1,t2)
| not(or(not(and(t1,t2)),X_26)) != and(and(t1,t2),not(X_26))
| not(or(xor(t1,t2),X_26)) = and(and(t1,t2),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(and(t1,t2)),X_26)),and(and(t1,t2),not(X_26))) ),[0,0,0],$fot(xor(t1,t2))]]) ).
cnf(refute_0_2617,plain,
( not(or(not(and(t1,t2)),X_26)) != and(and(t1,t2),not(X_26))
| not(or(xor(t1,t2),X_26)) = and(and(t1,t2),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(and(t1,t2)),xor(t1,t2)) )],[refute_0_518,refute_0_2616]) ).
cnf(refute_0_2618,plain,
not(or(xor(t1,t2),X_26)) = and(and(t1,t2),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(not(and(t1,t2)),X_26)),and(and(t1,t2),not(X_26))) )],[refute_0_2615,refute_0_2617]) ).
cnf(refute_0_2619,plain,
and(and(t1,t2),not(X_26)) = and(t1,and(t2,not(X_26))),
inference(subst,[],[and_associative:[bind(X,$fot(t1)),bind(Y,$fot(t2)),bind(Z,$fot(not(X_26)))]]) ).
cnf(refute_0_2620,plain,
( and(and(t1,t2),not(X_26)) != and(t1,and(t2,not(X_26)))
| not(or(xor(t1,t2),X_26)) != and(and(t1,t2),not(X_26))
| not(or(xor(t1,t2),X_26)) = and(t1,and(t2,not(X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(t1,t2),X_26)),and(and(t1,t2),not(X_26))) ),[1],$fot(and(t1,and(t2,not(X_26))))]]) ).
cnf(refute_0_2621,plain,
( not(or(xor(t1,t2),X_26)) != and(and(t1,t2),not(X_26))
| not(or(xor(t1,t2),X_26)) = and(t1,and(t2,not(X_26))) ),
inference(resolve,[$cnf( $equal(and(and(t1,t2),not(X_26)),and(t1,and(t2,not(X_26)))) )],[refute_0_2619,refute_0_2620]) ).
cnf(refute_0_2622,plain,
not(or(xor(t1,t2),X_26)) = and(t1,and(t2,not(X_26))),
inference(resolve,[$cnf( $equal(not(or(xor(t1,t2),X_26)),and(and(t1,t2),not(X_26))) )],[refute_0_2618,refute_0_2621]) ).
cnf(refute_0_2623,plain,
( not(or(xor(t1,t2),X_26)) != and(t1,and(t2,not(X_26)))
| and(t1,and(t2,not(X_26))) = not(or(xor(t1,t2),X_26)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(xor(t1,t2),X_26)))),bind(Y0,$fot(and(t1,and(t2,not(X_26)))))]]) ).
cnf(refute_0_2624,plain,
and(t1,and(t2,not(X_26))) = not(or(xor(t1,t2),X_26)),
inference(resolve,[$cnf( $equal(not(or(xor(t1,t2),X_26)),and(t1,and(t2,not(X_26)))) )],[refute_0_2622,refute_0_2623]) ).
cnf(refute_0_2625,plain,
and(t1,and(t2,not(X))) = not(or(xor(t1,t2),X)),
inference(subst,[],[refute_0_2624:[bind(X_26,$fot(X))]]) ).
cnf(refute_0_2626,plain,
and(and(X_220,X_221),X_222) = and(X_220,and(X_221,X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(X_220)),bind(Y,$fot(X_221)),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_2627,plain,
and(X_222,X_221) = and(X_221,X_222),
inference(subst,[],[and_commutative:[bind(X,$fot(X_222)),bind(Y,$fot(X_221))]]) ).
cnf(refute_0_2628,plain,
( and(X_222,X_221) != and(X_221,X_222)
| and(X_221,X_222) = and(X_222,X_221) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X_222,X_221))),bind(Y0,$fot(and(X_221,X_222)))]]) ).
cnf(refute_0_2629,plain,
and(X_221,X_222) = and(X_222,X_221),
inference(resolve,[$cnf( $equal(and(X_222,X_221),and(X_221,X_222)) )],[refute_0_2627,refute_0_2628]) ).
cnf(refute_0_2630,plain,
( and(X_221,X_222) != and(X_222,X_221)
| and(and(X_220,X_221),X_222) != and(X_220,and(X_221,X_222))
| and(and(X_220,X_221),X_222) = and(X_220,and(X_222,X_221)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X_220,X_221),X_222),and(X_220,and(X_221,X_222))) ),[1,1],$fot(and(X_222,X_221))]]) ).
cnf(refute_0_2631,plain,
( and(and(X_220,X_221),X_222) != and(X_220,and(X_221,X_222))
| and(and(X_220,X_221),X_222) = and(X_220,and(X_222,X_221)) ),
inference(resolve,[$cnf( $equal(and(X_221,X_222),and(X_222,X_221)) )],[refute_0_2629,refute_0_2630]) ).
cnf(refute_0_2632,plain,
and(and(X_220,X_221),X_222) = and(X_220,and(X_222,X_221)),
inference(resolve,[$cnf( $equal(and(and(X_220,X_221),X_222),and(X_220,and(X_221,X_222))) )],[refute_0_2626,refute_0_2631]) ).
cnf(refute_0_2633,plain,
( and(and(X_220,X_221),X_222) != and(X_220,and(X_221,X_222))
| and(and(X_220,X_221),X_222) != and(X_220,and(X_222,X_221))
| and(X_220,and(X_221,X_222)) = and(X_220,and(X_222,X_221)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X_220,X_221),X_222),and(X_220,and(X_222,X_221))) ),[0],$fot(and(X_220,and(X_221,X_222)))]]) ).
cnf(refute_0_2634,plain,
( and(and(X_220,X_221),X_222) != and(X_220,and(X_222,X_221))
| and(X_220,and(X_221,X_222)) = and(X_220,and(X_222,X_221)) ),
inference(resolve,[$cnf( $equal(and(and(X_220,X_221),X_222),and(X_220,and(X_221,X_222))) )],[refute_0_2626,refute_0_2633]) ).
cnf(refute_0_2635,plain,
and(X_220,and(X_221,X_222)) = and(X_220,and(X_222,X_221)),
inference(resolve,[$cnf( $equal(and(and(X_220,X_221),X_222),and(X_220,and(X_222,X_221))) )],[refute_0_2632,refute_0_2634]) ).
cnf(refute_0_2636,plain,
( and(X_220,and(X_221,X_222)) != and(X_220,and(X_222,X_221))
| and(X_220,and(X_222,X_221)) = and(X_220,and(X_221,X_222)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X_220,and(X_221,X_222)))),bind(Y0,$fot(and(X_220,and(X_222,X_221))))]]) ).
cnf(refute_0_2637,plain,
and(X_220,and(X_222,X_221)) = and(X_220,and(X_221,X_222)),
inference(resolve,[$cnf( $equal(and(X_220,and(X_221,X_222)),and(X_220,and(X_222,X_221))) )],[refute_0_2635,refute_0_2636]) ).
cnf(refute_0_2638,plain,
and(t1,and(not(X),t2)) = and(t1,and(t2,not(X))),
inference(subst,[],[refute_0_2637:[bind(X_220,$fot(t1)),bind(X_221,$fot(t2)),bind(X_222,$fot(not(X)))]]) ).
cnf(refute_0_2639,plain,
( and(t1,and(not(X),t2)) != and(t1,and(t2,not(X)))
| and(t1,and(t2,not(X))) != not(or(xor(t1,t2),X))
| and(t1,and(not(X),t2)) = not(or(xor(t1,t2),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t1,and(not(X),t2)))),bind(Y0,$fot(and(t1,and(t2,not(X))))),bind(Z0,$fot(not(or(xor(t1,t2),X))))]]) ).
cnf(refute_0_2640,plain,
( and(t1,and(t2,not(X))) != not(or(xor(t1,t2),X))
| and(t1,and(not(X),t2)) = not(or(xor(t1,t2),X)) ),
inference(resolve,[$cnf( $equal(and(t1,and(not(X),t2)),and(t1,and(t2,not(X)))) )],[refute_0_2638,refute_0_2639]) ).
cnf(refute_0_2641,plain,
and(t1,and(not(X),t2)) = not(or(xor(t1,t2),X)),
inference(resolve,[$cnf( $equal(and(t1,and(t2,not(X))),not(or(xor(t1,t2),X))) )],[refute_0_2625,refute_0_2640]) ).
cnf(refute_0_2642,plain,
and(X_221,X_220) = and(X_220,X_221),
inference(subst,[],[and_commutative:[bind(X,$fot(X_221)),bind(Y,$fot(X_220))]]) ).
cnf(refute_0_2643,plain,
( and(X_221,X_220) != and(X_220,X_221)
| and(X_220,X_221) = and(X_221,X_220) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X_221,X_220))),bind(Y0,$fot(and(X_220,X_221)))]]) ).
cnf(refute_0_2644,plain,
and(X_220,X_221) = and(X_221,X_220),
inference(resolve,[$cnf( $equal(and(X_221,X_220),and(X_220,X_221)) )],[refute_0_2642,refute_0_2643]) ).
cnf(refute_0_2645,plain,
( and(X_220,X_221) != and(X_221,X_220)
| and(and(X_220,X_221),X_222) != and(X_220,and(X_221,X_222))
| and(and(X_221,X_220),X_222) = and(X_220,and(X_221,X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X_220,X_221),X_222),and(X_220,and(X_221,X_222))) ),[0,0],$fot(and(X_221,X_220))]]) ).
cnf(refute_0_2646,plain,
( and(and(X_220,X_221),X_222) != and(X_220,and(X_221,X_222))
| and(and(X_221,X_220),X_222) = and(X_220,and(X_221,X_222)) ),
inference(resolve,[$cnf( $equal(and(X_220,X_221),and(X_221,X_220)) )],[refute_0_2644,refute_0_2645]) ).
cnf(refute_0_2647,plain,
and(and(X_221,X_220),X_222) = and(X_220,and(X_221,X_222)),
inference(resolve,[$cnf( $equal(and(and(X_220,X_221),X_222),and(X_220,and(X_221,X_222))) )],[refute_0_2626,refute_0_2646]) ).
cnf(refute_0_2648,plain,
and(and(X_221,X_220),X_222) = and(X_221,and(X_220,X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(X_221)),bind(Y,$fot(X_220)),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_2649,plain,
( and(and(X_221,X_220),X_222) != and(X_220,and(X_221,X_222))
| and(and(X_221,X_220),X_222) != and(X_221,and(X_220,X_222))
| and(X_221,and(X_220,X_222)) = and(X_220,and(X_221,X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X_221,X_220),X_222),and(X_220,and(X_221,X_222))) ),[0],$fot(and(X_221,and(X_220,X_222)))]]) ).
cnf(refute_0_2650,plain,
( and(and(X_221,X_220),X_222) != and(X_220,and(X_221,X_222))
| and(X_221,and(X_220,X_222)) = and(X_220,and(X_221,X_222)) ),
inference(resolve,[$cnf( $equal(and(and(X_221,X_220),X_222),and(X_221,and(X_220,X_222))) )],[refute_0_2648,refute_0_2649]) ).
cnf(refute_0_2651,plain,
and(X_221,and(X_220,X_222)) = and(X_220,and(X_221,X_222)),
inference(resolve,[$cnf( $equal(and(and(X_221,X_220),X_222),and(X_220,and(X_221,X_222))) )],[refute_0_2647,refute_0_2650]) ).
cnf(refute_0_2652,plain,
( and(X_221,and(X_220,X_222)) != and(X_220,and(X_221,X_222))
| and(X_220,and(X_221,X_222)) = and(X_221,and(X_220,X_222)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X_221,and(X_220,X_222)))),bind(Y0,$fot(and(X_220,and(X_221,X_222))))]]) ).
cnf(refute_0_2653,plain,
and(X_220,and(X_221,X_222)) = and(X_221,and(X_220,X_222)),
inference(resolve,[$cnf( $equal(and(X_221,and(X_220,X_222)),and(X_220,and(X_221,X_222))) )],[refute_0_2651,refute_0_2652]) ).
cnf(refute_0_2654,plain,
and(not(X),and(t1,t2)) = and(t1,and(not(X),t2)),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(X))),bind(X_221,$fot(t1)),bind(X_222,$fot(t2))]]) ).
cnf(refute_0_2655,plain,
( and(not(X),and(t1,t2)) != and(t1,and(not(X),t2))
| and(t1,and(not(X),t2)) != not(or(xor(t1,t2),X))
| and(not(X),and(t1,t2)) = not(or(xor(t1,t2),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(X),and(t1,t2)))),bind(Y0,$fot(and(t1,and(not(X),t2)))),bind(Z0,$fot(not(or(xor(t1,t2),X))))]]) ).
cnf(refute_0_2656,plain,
( and(t1,and(not(X),t2)) != not(or(xor(t1,t2),X))
| and(not(X),and(t1,t2)) = not(or(xor(t1,t2),X)) ),
inference(resolve,[$cnf( $equal(and(not(X),and(t1,t2)),and(t1,and(not(X),t2))) )],[refute_0_2654,refute_0_2655]) ).
cnf(refute_0_2657,plain,
and(not(X),and(t1,t2)) = not(or(xor(t1,t2),X)),
inference(resolve,[$cnf( $equal(and(t1,and(not(X),t2)),not(or(xor(t1,t2),X))) )],[refute_0_2641,refute_0_2656]) ).
cnf(refute_0_2658,plain,
( and(not(X),and(t1,t2)) != not(or(xor(t1,t2),X))
| not(or(X,xor(t1,t2))) != and(not(X),and(t1,t2))
| not(or(X,xor(t1,t2))) = not(or(xor(t1,t2),X)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t1,t2))),and(not(X),and(t1,t2))) ),[1],$fot(not(or(xor(t1,t2),X)))]]) ).
cnf(refute_0_2659,plain,
( not(or(X,xor(t1,t2))) != and(not(X),and(t1,t2))
| not(or(X,xor(t1,t2))) = not(or(xor(t1,t2),X)) ),
inference(resolve,[$cnf( $equal(and(not(X),and(t1,t2)),not(or(xor(t1,t2),X))) )],[refute_0_2657,refute_0_2658]) ).
cnf(refute_0_2660,plain,
not(or(X,xor(t1,t2))) = not(or(xor(t1,t2),X)),
inference(resolve,[$cnf( $equal(not(or(X,xor(t1,t2))),and(not(X),and(t1,t2))) )],[refute_0_2614,refute_0_2659]) ).
cnf(refute_0_2661,plain,
xor(a,xor(t1,t1)) = xor(t2,t1),
inference(subst,[],[refute_0_370:[bind(X_335,$fot(t1))]]) ).
cnf(refute_0_2662,plain,
( xor(a,xor(t1,t1)) != xor(t2,t1)
| xor(t1,t1) != ll0
| xor(a,ll0) = xor(t2,t1) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t1,t1)),xor(t2,t1)) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_2663,plain,
( xor(a,xor(t1,t1)) != xor(t2,t1)
| xor(a,ll0) = xor(t2,t1) ),
inference(resolve,[$cnf( $equal(xor(t1,t1),ll0) )],[refute_0_1769,refute_0_2662]) ).
cnf(refute_0_2664,plain,
xor(a,ll0) = xor(t2,t1),
inference(resolve,[$cnf( $equal(xor(a,xor(t1,t1)),xor(t2,t1)) )],[refute_0_2661,refute_0_2663]) ).
cnf(refute_0_2665,plain,
xor(a,ll0) = a,
inference(subst,[],[refute_0_1378:[bind(X_63,$fot(a))]]) ).
cnf(refute_0_2666,plain,
( xor(a,ll0) != a
| xor(a,ll0) != xor(t2,t1)
| a = xor(t2,t1) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,ll0),xor(t2,t1)) ),[0],$fot(a)]]) ).
cnf(refute_0_2667,plain,
( xor(a,ll0) != xor(t2,t1)
| a = xor(t2,t1) ),
inference(resolve,[$cnf( $equal(xor(a,ll0),a) )],[refute_0_2665,refute_0_2666]) ).
cnf(refute_0_2668,plain,
xor(t2,t1) = xor(t1,t2),
inference(subst,[],[refute_0_1913:[bind(X,$fot(t1)),bind(Y,$fot(t2))]]) ).
cnf(refute_0_2669,plain,
( a != xor(t2,t1)
| xor(t2,t1) != xor(t1,t2)
| a = xor(t1,t2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(a,xor(t1,t2)) ),[0],$fot(xor(t2,t1))]]) ).
cnf(refute_0_2670,plain,
( a != xor(t2,t1)
| a = xor(t1,t2) ),
inference(resolve,[$cnf( $equal(xor(t2,t1),xor(t1,t2)) )],[refute_0_2668,refute_0_2669]) ).
cnf(refute_0_2671,plain,
( xor(a,ll0) != xor(t2,t1)
| a = xor(t1,t2) ),
inference(resolve,[$cnf( $equal(a,xor(t2,t1)) )],[refute_0_2667,refute_0_2670]) ).
cnf(refute_0_2672,plain,
a = xor(t1,t2),
inference(resolve,[$cnf( $equal(xor(a,ll0),xor(t2,t1)) )],[refute_0_2664,refute_0_2671]) ).
cnf(refute_0_2673,plain,
( a != xor(t1,t2)
| xor(t1,t2) = a ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(a)),bind(Y0,$fot(xor(t1,t2)))]]) ).
cnf(refute_0_2674,plain,
xor(t1,t2) = a,
inference(resolve,[$cnf( $equal(a,xor(t1,t2)) )],[refute_0_2672,refute_0_2673]) ).
cnf(refute_0_2675,plain,
or(X,xor(t1,t2)) = or(X,xor(t1,t2)),
introduced(tautology,[refl,[$fot(or(X,xor(t1,t2)))]]) ).
cnf(refute_0_2676,plain,
( or(X,xor(t1,t2)) != or(X,xor(t1,t2))
| xor(t1,t2) != a
| or(X,xor(t1,t2)) = or(X,a) ),
introduced(tautology,[equality,[$cnf( $equal(or(X,xor(t1,t2)),or(X,xor(t1,t2))) ),[1,1],$fot(a)]]) ).
cnf(refute_0_2677,plain,
( xor(t1,t2) != a
| or(X,xor(t1,t2)) = or(X,a) ),
inference(resolve,[$cnf( $equal(or(X,xor(t1,t2)),or(X,xor(t1,t2))) )],[refute_0_2675,refute_0_2676]) ).
cnf(refute_0_2678,plain,
or(X,xor(t1,t2)) = or(X,a),
inference(resolve,[$cnf( $equal(xor(t1,t2),a) )],[refute_0_2674,refute_0_2677]) ).
cnf(refute_0_2679,plain,
not(or(X,xor(t1,t2))) = not(or(X,xor(t1,t2))),
introduced(tautology,[refl,[$fot(not(or(X,xor(t1,t2))))]]) ).
cnf(refute_0_2680,plain,
( not(or(X,xor(t1,t2))) != not(or(X,xor(t1,t2)))
| or(X,xor(t1,t2)) != or(X,a)
| not(or(X,xor(t1,t2))) = not(or(X,a)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t1,t2))),not(or(X,xor(t1,t2)))) ),[1,0],$fot(or(X,a))]]) ).
cnf(refute_0_2681,plain,
( or(X,xor(t1,t2)) != or(X,a)
| not(or(X,xor(t1,t2))) = not(or(X,a)) ),
inference(resolve,[$cnf( $equal(not(or(X,xor(t1,t2))),not(or(X,xor(t1,t2)))) )],[refute_0_2679,refute_0_2680]) ).
cnf(refute_0_2682,plain,
not(or(X,xor(t1,t2))) = not(or(X,a)),
inference(resolve,[$cnf( $equal(or(X,xor(t1,t2)),or(X,a)) )],[refute_0_2678,refute_0_2681]) ).
cnf(refute_0_2683,plain,
( not(or(X,xor(t1,t2))) != not(or(X,a))
| not(or(X,xor(t1,t2))) != not(or(xor(t1,t2),X))
| not(or(X,a)) = not(or(xor(t1,t2),X)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t1,t2))),not(or(xor(t1,t2),X))) ),[0],$fot(not(or(X,a)))]]) ).
cnf(refute_0_2684,plain,
( not(or(X,xor(t1,t2))) != not(or(xor(t1,t2),X))
| not(or(X,a)) = not(or(xor(t1,t2),X)) ),
inference(resolve,[$cnf( $equal(not(or(X,xor(t1,t2))),not(or(X,a))) )],[refute_0_2682,refute_0_2683]) ).
cnf(refute_0_2685,plain,
or(xor(t1,t2),X) = or(xor(t1,t2),X),
introduced(tautology,[refl,[$fot(or(xor(t1,t2),X))]]) ).
cnf(refute_0_2686,plain,
( or(xor(t1,t2),X) != or(xor(t1,t2),X)
| xor(t1,t2) != a
| or(xor(t1,t2),X) = or(a,X) ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(t1,t2),X),or(xor(t1,t2),X)) ),[1,0],$fot(a)]]) ).
cnf(refute_0_2687,plain,
( xor(t1,t2) != a
| or(xor(t1,t2),X) = or(a,X) ),
inference(resolve,[$cnf( $equal(or(xor(t1,t2),X),or(xor(t1,t2),X)) )],[refute_0_2685,refute_0_2686]) ).
cnf(refute_0_2688,plain,
or(xor(t1,t2),X) = or(a,X),
inference(resolve,[$cnf( $equal(xor(t1,t2),a) )],[refute_0_2674,refute_0_2687]) ).
cnf(refute_0_2689,plain,
not(or(xor(t1,t2),X)) = not(or(xor(t1,t2),X)),
introduced(tautology,[refl,[$fot(not(or(xor(t1,t2),X)))]]) ).
cnf(refute_0_2690,plain,
( not(or(xor(t1,t2),X)) != not(or(xor(t1,t2),X))
| or(xor(t1,t2),X) != or(a,X)
| not(or(xor(t1,t2),X)) = not(or(a,X)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(t1,t2),X)),not(or(xor(t1,t2),X))) ),[1,0],$fot(or(a,X))]]) ).
cnf(refute_0_2691,plain,
( or(xor(t1,t2),X) != or(a,X)
| not(or(xor(t1,t2),X)) = not(or(a,X)) ),
inference(resolve,[$cnf( $equal(not(or(xor(t1,t2),X)),not(or(xor(t1,t2),X))) )],[refute_0_2689,refute_0_2690]) ).
cnf(refute_0_2692,plain,
not(or(xor(t1,t2),X)) = not(or(a,X)),
inference(resolve,[$cnf( $equal(or(xor(t1,t2),X),or(a,X)) )],[refute_0_2688,refute_0_2691]) ).
cnf(refute_0_2693,plain,
( not(or(X,a)) != not(or(xor(t1,t2),X))
| not(or(xor(t1,t2),X)) != not(or(a,X))
| not(or(X,a)) = not(or(a,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(or(X,a)),not(or(a,X))) ),[0],$fot(not(or(xor(t1,t2),X)))]]) ).
cnf(refute_0_2694,plain,
( not(or(X,a)) != not(or(xor(t1,t2),X))
| not(or(X,a)) = not(or(a,X)) ),
inference(resolve,[$cnf( $equal(not(or(xor(t1,t2),X)),not(or(a,X))) )],[refute_0_2692,refute_0_2693]) ).
cnf(refute_0_2695,plain,
( not(or(X,xor(t1,t2))) != not(or(xor(t1,t2),X))
| not(or(X,a)) = not(or(a,X)) ),
inference(resolve,[$cnf( $equal(not(or(X,a)),not(or(xor(t1,t2),X))) )],[refute_0_2684,refute_0_2694]) ).
cnf(refute_0_2696,plain,
not(or(X,a)) = not(or(a,X)),
inference(resolve,[$cnf( $equal(not(or(X,xor(t1,t2))),not(or(xor(t1,t2),X))) )],[refute_0_2660,refute_0_2695]) ).
cnf(refute_0_2697,plain,
not(or(t7,a)) = not(or(a,t7)),
inference(subst,[],[refute_0_2696:[bind(X,$fot(t7))]]) ).
cnf(refute_0_2698,plain,
and(not(t7),not(a)) = not(or(t7,a)),
inference(subst,[],[refute_0_101:[bind(X,$fot(t7)),bind(Y,$fot(a))]]) ).
cnf(refute_0_2699,plain,
( and(not(t7),not(a)) != not(or(t7,a))
| not(or(t7,a)) != not(or(a,t7))
| and(not(t7),not(a)) = not(or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t7),not(a)))),bind(Y0,$fot(not(or(t7,a)))),bind(Z0,$fot(not(or(a,t7))))]]) ).
cnf(refute_0_2700,plain,
( not(or(t7,a)) != not(or(a,t7))
| and(not(t7),not(a)) = not(or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(not(t7),not(a)),not(or(t7,a))) )],[refute_0_2698,refute_0_2699]) ).
cnf(refute_0_2701,plain,
and(not(t7),not(a)) = not(or(a,t7)),
inference(resolve,[$cnf( $equal(not(or(t7,a)),not(or(a,t7))) )],[refute_0_2697,refute_0_2700]) ).
cnf(refute_0_2702,plain,
and(and(t2,xor(t2,t7)),Z) = and(t2,and(xor(t2,t7),Z)),
inference(subst,[],[and_associative:[bind(X,$fot(t2)),bind(Y,$fot(xor(t2,t7)))]]) ).
cnf(refute_0_2703,plain,
( and(and(t2,xor(t2,t7)),Z) != and(t2,and(xor(t2,t7),Z))
| and(t2,xor(t2,t7)) != not(t7)
| and(not(t7),Z) = and(t2,and(xor(t2,t7),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t2,xor(t2,t7)),Z),and(t2,and(xor(t2,t7),Z))) ),[0,0],$fot(not(t7))]]) ).
cnf(refute_0_2704,plain,
( and(and(t2,xor(t2,t7)),Z) != and(t2,and(xor(t2,t7),Z))
| and(not(t7),Z) = and(t2,and(xor(t2,t7),Z)) ),
inference(resolve,[$cnf( $equal(and(t2,xor(t2,t7)),not(t7)) )],[refute_0_2601,refute_0_2703]) ).
cnf(refute_0_2705,plain,
and(not(t7),Z) = and(t2,and(xor(t2,t7),Z)),
inference(resolve,[$cnf( $equal(and(and(t2,xor(t2,t7)),Z),and(t2,and(xor(t2,t7),Z))) )],[refute_0_2702,refute_0_2704]) ).
cnf(refute_0_2706,plain,
( and(not(t7),Z) != and(t2,and(xor(t2,t7),Z))
| and(t2,and(xor(t2,t7),Z)) = and(not(t7),Z) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t7),Z))),bind(Y0,$fot(and(t2,and(xor(t2,t7),Z))))]]) ).
cnf(refute_0_2707,plain,
and(t2,and(xor(t2,t7),Z)) = and(not(t7),Z),
inference(resolve,[$cnf( $equal(and(not(t7),Z),and(t2,and(xor(t2,t7),Z))) )],[refute_0_2705,refute_0_2706]) ).
cnf(refute_0_2708,plain,
and(t2,and(xor(t2,t7),not(a))) = and(not(t7),not(a)),
inference(subst,[],[refute_0_2707:[bind(Z,$fot(not(a)))]]) ).
cnf(refute_0_2709,plain,
( and(not(t7),not(a)) != not(or(a,t7))
| and(t2,and(xor(t2,t7),not(a))) != and(not(t7),not(a))
| and(t2,and(xor(t2,t7),not(a))) = not(or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t2,and(xor(t2,t7),not(a))))),bind(Y0,$fot(and(not(t7),not(a)))),bind(Z0,$fot(not(or(a,t7))))]]) ).
cnf(refute_0_2710,plain,
( and(not(t7),not(a)) != not(or(a,t7))
| and(t2,and(xor(t2,t7),not(a))) = not(or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(t2,and(xor(t2,t7),not(a))),and(not(t7),not(a))) )],[refute_0_2708,refute_0_2709]) ).
cnf(refute_0_2711,plain,
and(t2,and(xor(t2,t7),not(a))) = not(or(a,t7)),
inference(resolve,[$cnf( $equal(and(not(t7),not(a)),not(or(a,t7))) )],[refute_0_2701,refute_0_2710]) ).
cnf(refute_0_2712,plain,
( and(t2,and(xor(t2,t7),not(a))) != not(or(a,t7))
| not(or(carry,t7)) != and(t2,and(xor(t2,t7),not(a)))
| not(or(carry,t7)) = not(or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,t7)),and(t2,and(xor(t2,t7),not(a)))) ),[1],$fot(not(or(a,t7)))]]) ).
cnf(refute_0_2713,plain,
( not(or(carry,t7)) != and(t2,and(xor(t2,t7),not(a)))
| not(or(carry,t7)) = not(or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(t2,and(xor(t2,t7),not(a))),not(or(a,t7))) )],[refute_0_2711,refute_0_2712]) ).
cnf(refute_0_2714,plain,
not(or(carry,t7)) = not(or(a,t7)),
inference(resolve,[$cnf( $equal(not(or(carry,t7)),and(t2,and(xor(t2,t7),not(a)))) )],[refute_0_2610,refute_0_2713]) ).
cnf(refute_0_2715,plain,
( not(or(carry,t7)) != and(t1,not(t7))
| not(or(carry,t7)) != not(or(a,t7))
| not(or(a,t7)) = and(t1,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,t7)),and(t1,not(t7))) ),[0],$fot(not(or(a,t7)))]]) ).
cnf(refute_0_2716,plain,
( not(or(carry,t7)) != and(t1,not(t7))
| not(or(a,t7)) = and(t1,not(t7)) ),
inference(resolve,[$cnf( $equal(not(or(carry,t7)),not(or(a,t7))) )],[refute_0_2714,refute_0_2715]) ).
cnf(refute_0_2717,plain,
not(or(a,t7)) = and(t1,not(t7)),
inference(resolve,[$cnf( $equal(not(or(carry,t7)),and(t1,not(t7))) )],[refute_0_240,refute_0_2716]) ).
cnf(refute_0_2718,plain,
( not(or(a,t7)) != and(t1,not(t7))
| and(t1,not(t7)) = not(or(a,t7)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(a,t7)))),bind(Y0,$fot(and(t1,not(t7))))]]) ).
cnf(refute_0_2719,plain,
and(t1,not(t7)) = not(or(a,t7)),
inference(resolve,[$cnf( $equal(not(or(a,t7)),and(t1,not(t7))) )],[refute_0_2717,refute_0_2718]) ).
cnf(refute_0_2720,plain,
( and(t1,not(t7)) != not(or(a,t7))
| not(and(not(t7),t1)) != not(and(t1,not(t7)))
| not(and(not(t7),t1)) = not(not(or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t7),t1)),not(and(t1,not(t7)))) ),[1,0],$fot(not(or(a,t7)))]]) ).
cnf(refute_0_2721,plain,
( not(and(not(t7),t1)) != not(and(t1,not(t7)))
| not(and(not(t7),t1)) = not(not(or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(t1,not(t7)),not(or(a,t7))) )],[refute_0_2719,refute_0_2720]) ).
cnf(refute_0_2722,plain,
not(and(not(t7),t1)) = not(not(or(a,t7))),
inference(resolve,[$cnf( $equal(not(and(not(t7),t1)),not(and(t1,not(t7)))) )],[refute_0_275,refute_0_2721]) ).
cnf(refute_0_2723,plain,
( and(t1,not(t7)) != not(or(carry,t7))
| not(and(not(t7),t1)) != not(and(t1,not(t7)))
| not(and(not(t7),t1)) = not(not(or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t7),t1)),not(and(t1,not(t7)))) ),[1,0],$fot(not(or(carry,t7)))]]) ).
cnf(refute_0_2724,plain,
( not(and(not(t7),t1)) != not(and(t1,not(t7)))
| not(and(not(t7),t1)) = not(not(or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(t1,not(t7)),not(or(carry,t7))) )],[refute_0_242,refute_0_2723]) ).
cnf(refute_0_2725,plain,
not(and(not(t7),t1)) = not(not(or(carry,t7))),
inference(resolve,[$cnf( $equal(not(and(not(t7),t1)),not(and(t1,not(t7)))) )],[refute_0_275,refute_0_2724]) ).
cnf(refute_0_2726,plain,
not(and(not(t7),t1)) = or(t7,not(t1)),
inference(subst,[],[refute_0_787:[bind(X,$fot(t7)),bind(X_32,$fot(t1))]]) ).
cnf(refute_0_2727,plain,
( not(and(not(t7),t1)) != not(not(or(carry,t7)))
| not(and(not(t7),t1)) != or(t7,not(t1))
| or(t7,not(t1)) = not(not(or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t7),t1)),not(not(or(carry,t7)))) ),[0],$fot(or(t7,not(t1)))]]) ).
cnf(refute_0_2728,plain,
( not(and(not(t7),t1)) != not(not(or(carry,t7)))
| or(t7,not(t1)) = not(not(or(carry,t7))) ),
inference(resolve,[$cnf( $equal(not(and(not(t7),t1)),or(t7,not(t1))) )],[refute_0_2726,refute_0_2727]) ).
cnf(refute_0_2729,plain,
not(not(or(carry,t7))) = or(carry,t7),
inference(subst,[],[not_involution:[bind(X,$fot(or(carry,t7)))]]) ).
cnf(refute_0_2730,plain,
( not(not(or(carry,t7))) != or(carry,t7)
| or(t7,not(t1)) != not(not(or(carry,t7)))
| or(t7,not(t1)) = or(carry,t7) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,not(t1)),not(not(or(carry,t7)))) ),[1],$fot(or(carry,t7))]]) ).
cnf(refute_0_2731,plain,
( or(t7,not(t1)) != not(not(or(carry,t7)))
| or(t7,not(t1)) = or(carry,t7) ),
inference(resolve,[$cnf( $equal(not(not(or(carry,t7))),or(carry,t7)) )],[refute_0_2729,refute_0_2730]) ).
cnf(refute_0_2732,plain,
( not(and(not(t7),t1)) != not(not(or(carry,t7)))
| or(t7,not(t1)) = or(carry,t7) ),
inference(resolve,[$cnf( $equal(or(t7,not(t1)),not(not(or(carry,t7)))) )],[refute_0_2728,refute_0_2731]) ).
cnf(refute_0_2733,plain,
or(t7,not(t1)) = or(carry,t7),
inference(resolve,[$cnf( $equal(not(and(not(t7),t1)),not(not(or(carry,t7)))) )],[refute_0_2725,refute_0_2732]) ).
cnf(refute_0_2734,plain,
( not(and(not(t7),t1)) != or(t7,not(t1))
| or(t7,not(t1)) != or(carry,t7)
| not(and(not(t7),t1)) = or(carry,t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(not(t7),t1)))),bind(Y0,$fot(or(t7,not(t1)))),bind(Z0,$fot(or(carry,t7)))]]) ).
cnf(refute_0_2735,plain,
( or(t7,not(t1)) != or(carry,t7)
| not(and(not(t7),t1)) = or(carry,t7) ),
inference(resolve,[$cnf( $equal(not(and(not(t7),t1)),or(t7,not(t1))) )],[refute_0_2726,refute_0_2734]) ).
cnf(refute_0_2736,plain,
not(and(not(t7),t1)) = or(carry,t7),
inference(resolve,[$cnf( $equal(or(t7,not(t1)),or(carry,t7)) )],[refute_0_2733,refute_0_2735]) ).
cnf(refute_0_2737,plain,
( not(and(not(t7),t1)) != not(not(or(a,t7)))
| not(and(not(t7),t1)) != or(carry,t7)
| or(carry,t7) = not(not(or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t7),t1)),not(not(or(a,t7)))) ),[0],$fot(or(carry,t7))]]) ).
cnf(refute_0_2738,plain,
( not(and(not(t7),t1)) != not(not(or(a,t7)))
| or(carry,t7) = not(not(or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(and(not(t7),t1)),or(carry,t7)) )],[refute_0_2736,refute_0_2737]) ).
cnf(refute_0_2739,plain,
not(not(or(a,t7))) = or(a,t7),
inference(subst,[],[not_involution:[bind(X,$fot(or(a,t7)))]]) ).
cnf(refute_0_2740,plain,
( not(not(or(a,t7))) != or(a,t7)
| or(carry,t7) != not(not(or(a,t7)))
| or(carry,t7) = or(a,t7) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,t7),not(not(or(a,t7)))) ),[1],$fot(or(a,t7))]]) ).
cnf(refute_0_2741,plain,
( or(carry,t7) != not(not(or(a,t7)))
| or(carry,t7) = or(a,t7) ),
inference(resolve,[$cnf( $equal(not(not(or(a,t7))),or(a,t7)) )],[refute_0_2739,refute_0_2740]) ).
cnf(refute_0_2742,plain,
( not(and(not(t7),t1)) != not(not(or(a,t7)))
| or(carry,t7) = or(a,t7) ),
inference(resolve,[$cnf( $equal(or(carry,t7),not(not(or(a,t7)))) )],[refute_0_2738,refute_0_2741]) ).
cnf(refute_0_2743,plain,
or(carry,t7) = or(a,t7),
inference(resolve,[$cnf( $equal(not(and(not(t7),t1)),not(not(or(a,t7)))) )],[refute_0_2722,refute_0_2742]) ).
cnf(refute_0_2744,plain,
and(cin,or(carry,t7)) = and(cin,or(carry,t7)),
introduced(tautology,[refl,[$fot(and(cin,or(carry,t7)))]]) ).
cnf(refute_0_2745,plain,
( and(cin,or(carry,t7)) != and(cin,or(carry,t7))
| or(carry,t7) != or(a,t7)
| and(cin,or(carry,t7)) = and(cin,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,or(carry,t7)),and(cin,or(carry,t7))) ),[1,1],$fot(or(a,t7))]]) ).
cnf(refute_0_2746,plain,
( or(carry,t7) != or(a,t7)
| and(cin,or(carry,t7)) = and(cin,or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(cin,or(carry,t7)),and(cin,or(carry,t7))) )],[refute_0_2744,refute_0_2745]) ).
cnf(refute_0_2747,plain,
and(cin,or(carry,t7)) = and(cin,or(a,t7)),
inference(resolve,[$cnf( $equal(or(carry,t7),or(a,t7)) )],[refute_0_2743,refute_0_2746]) ).
cnf(refute_0_2748,plain,
not(and(cin,or(carry,t7))) = not(and(cin,or(carry,t7))),
introduced(tautology,[refl,[$fot(not(and(cin,or(carry,t7))))]]) ).
cnf(refute_0_2749,plain,
( and(cin,or(carry,t7)) != and(cin,or(a,t7))
| not(and(cin,or(carry,t7))) != not(and(cin,or(carry,t7)))
| not(and(cin,or(carry,t7))) = not(and(cin,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(cin,or(carry,t7))),not(and(cin,or(carry,t7)))) ),[1,0],$fot(and(cin,or(a,t7)))]]) ).
cnf(refute_0_2750,plain,
( and(cin,or(carry,t7)) != and(cin,or(a,t7))
| not(and(cin,or(carry,t7))) = not(and(cin,or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(and(cin,or(carry,t7))),not(and(cin,or(carry,t7)))) )],[refute_0_2748,refute_0_2749]) ).
cnf(refute_0_2751,plain,
not(and(cin,or(carry,t7))) = not(and(cin,or(a,t7))),
inference(resolve,[$cnf( $equal(and(cin,or(carry,t7)),and(cin,or(a,t7))) )],[refute_0_2747,refute_0_2750]) ).
cnf(refute_0_2752,plain,
or(carry,not(and(cin,or(carry,t7)))) = or(carry,not(and(cin,or(carry,t7)))),
introduced(tautology,[refl,[$fot(or(carry,not(and(cin,or(carry,t7)))))]]) ).
cnf(refute_0_2753,plain,
( not(and(cin,or(carry,t7))) != not(and(cin,or(a,t7)))
| or(carry,not(and(cin,or(carry,t7)))) != or(carry,not(and(cin,or(carry,t7))))
| or(carry,not(and(cin,or(carry,t7)))) = or(carry,not(and(cin,or(a,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(and(cin,or(carry,t7)))),or(carry,not(and(cin,or(carry,t7))))) ),[1,1],$fot(not(and(cin,or(a,t7))))]]) ).
cnf(refute_0_2754,plain,
( not(and(cin,or(carry,t7))) != not(and(cin,or(a,t7)))
| or(carry,not(and(cin,or(carry,t7)))) = or(carry,not(and(cin,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(or(carry,not(and(cin,or(carry,t7)))),or(carry,not(and(cin,or(carry,t7))))) )],[refute_0_2752,refute_0_2753]) ).
cnf(refute_0_2755,plain,
or(carry,not(and(cin,or(carry,t7)))) = or(carry,not(and(cin,or(a,t7)))),
inference(resolve,[$cnf( $equal(not(and(cin,or(carry,t7))),not(and(cin,or(a,t7)))) )],[refute_0_2751,refute_0_2754]) ).
cnf(refute_0_2756,plain,
( or(carry,not(and(cin,or(carry,t7)))) != ll1
| or(carry,not(and(cin,or(carry,t7)))) != or(carry,not(and(cin,or(a,t7))))
| or(carry,not(and(cin,or(a,t7)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(and(cin,or(carry,t7)))),ll1) ),[0],$fot(or(carry,not(and(cin,or(a,t7)))))]]) ).
cnf(refute_0_2757,plain,
( or(carry,not(and(cin,or(carry,t7)))) != ll1
| or(carry,not(and(cin,or(a,t7)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(carry,not(and(cin,or(carry,t7)))),or(carry,not(and(cin,or(a,t7))))) )],[refute_0_2755,refute_0_2756]) ).
cnf(refute_0_2758,plain,
or(carry,not(and(cin,or(a,t7)))) = ll1,
inference(resolve,[$cnf( $equal(or(carry,not(and(cin,or(carry,t7)))),ll1) )],[refute_0_274,refute_0_2757]) ).
cnf(refute_0_2759,plain,
xor(or(cin,t1),xor(or(cin,t1),and(cin,or(a,b)))) = and(cin,or(a,b)),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(or(cin,t1))),bind(X_335,$fot(and(cin,or(a,b))))]]) ).
cnf(refute_0_2760,plain,
not(and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def)) = not(and(carry_def,not(xor(or(cin,t1),and(cin,or(a,b)))))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(carry_def)),bind(X_32,$fot(not(xor(or(cin,t1),and(cin,or(a,b))))))]]) ).
cnf(refute_0_2761,plain,
and(not(xor(or(cin,t1),and(cin,or(a,b)))),or(carry_def,not(xor(or(cin,t1),and(cin,or(a,b)))))) = not(xor(or(cin,t1),and(cin,or(a,b)))),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(not(xor(or(cin,t1),and(cin,or(a,b)))))),bind(X_20,$fot(carry_def))]]) ).
cnf(refute_0_2762,plain,
not(and(not(carry_def),xor(or(cin,t1),and(cin,or(a,b))))) = or(not(not(carry_def)),not(xor(or(cin,t1),and(cin,or(a,b))))),
inference(subst,[],[and_demorgan:[bind(X,$fot(not(carry_def))),bind(Y,$fot(xor(or(cin,t1),and(cin,or(a,b)))))]]) ).
cnf(refute_0_2763,plain,
and(not(carry_def),or(not(carry_def),and(not(or(cin,t1)),and(cin,or(a,b))))) = not(carry_def),
inference(subst,[],[and_absorption:[bind(X,$fot(not(carry_def))),bind(Y,$fot(and(not(or(cin,t1)),and(cin,or(a,b)))))]]) ).
cnf(refute_0_2764,plain,
or(and(or(cin,t1),not(and(cin,or(a,b)))),and(not(or(cin,t1)),and(cin,or(a,b)))) = xor(or(cin,t1),and(cin,or(a,b))),
inference(subst,[],[refute_0_9:[bind(X,$fot(or(cin,t1))),bind(Y,$fot(and(cin,or(a,b))))]]) ).
cnf(refute_0_2765,plain,
not(or(not(or(cin,t1)),and(cin,or(a,b)))) = not(or(and(cin,or(a,b)),not(or(cin,t1)))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(and(cin,or(a,b)))),bind(X_26,$fot(not(or(cin,t1))))]]) ).
cnf(refute_0_2766,plain,
or(and(cin,or(a,b)),not(or(cin,t1))) = or(not(or(cin,t1)),and(cin,or(a,b))),
inference(subst,[],[refute_0_5:[bind(X,$fot(not(or(cin,t1)))),bind(Y,$fot(and(cin,or(a,b))))]]) ).
cnf(refute_0_2767,plain,
and(not(cin),not(t1)) = not(or(cin,t1)),
inference(subst,[],[refute_0_101:[bind(X,$fot(cin)),bind(Y,$fot(t1))]]) ).
cnf(refute_0_2768,plain,
and(not(cin),and(a,b)) = and(not(cin),and(a,b)),
introduced(tautology,[refl,[$fot(and(not(cin),and(a,b)))]]) ).
cnf(refute_0_2769,plain,
( and(a,b) != not(t1)
| and(not(cin),and(a,b)) != and(not(cin),and(a,b))
| and(not(cin),and(a,b)) = and(not(cin),not(t1)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(cin),and(a,b)),and(not(cin),and(a,b))) ),[1,1],$fot(not(t1))]]) ).
cnf(refute_0_2770,plain,
( and(a,b) != not(t1)
| and(not(cin),and(a,b)) = and(not(cin),not(t1)) ),
inference(resolve,[$cnf( $equal(and(not(cin),and(a,b)),and(not(cin),and(a,b))) )],[refute_0_2768,refute_0_2769]) ).
cnf(refute_0_2771,plain,
and(not(cin),and(a,b)) = and(not(cin),not(t1)),
inference(resolve,[$cnf( $equal(and(a,b),not(t1)) )],[refute_0_318,refute_0_2770]) ).
cnf(refute_0_2772,plain,
( and(not(cin),and(a,b)) != and(not(cin),not(t1))
| and(not(cin),not(t1)) != not(or(cin,t1))
| and(not(cin),and(a,b)) = not(or(cin,t1)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(cin),and(a,b)))),bind(Y0,$fot(and(not(cin),not(t1)))),bind(Z0,$fot(not(or(cin,t1))))]]) ).
cnf(refute_0_2773,plain,
( and(not(cin),not(t1)) != not(or(cin,t1))
| and(not(cin),and(a,b)) = not(or(cin,t1)) ),
inference(resolve,[$cnf( $equal(and(not(cin),and(a,b)),and(not(cin),not(t1))) )],[refute_0_2771,refute_0_2772]) ).
cnf(refute_0_2774,plain,
and(not(cin),and(a,b)) = not(or(cin,t1)),
inference(resolve,[$cnf( $equal(and(not(cin),not(t1)),not(or(cin,t1))) )],[refute_0_2767,refute_0_2773]) ).
cnf(refute_0_2775,plain,
or(and(cin,or(a,b)),and(not(cin),and(a,b))) = or(and(cin,or(a,b)),and(not(cin),and(a,b))),
introduced(tautology,[refl,[$fot(or(and(cin,or(a,b)),and(not(cin),and(a,b))))]]) ).
cnf(refute_0_2776,plain,
( and(not(cin),and(a,b)) != not(or(cin,t1))
| or(and(cin,or(a,b)),and(not(cin),and(a,b))) != or(and(cin,or(a,b)),and(not(cin),and(a,b)))
| or(and(cin,or(a,b)),and(not(cin),and(a,b))) = or(and(cin,or(a,b)),not(or(cin,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(cin,or(a,b)),and(not(cin),and(a,b))),or(and(cin,or(a,b)),and(not(cin),and(a,b)))) ),[1,1],$fot(not(or(cin,t1)))]]) ).
cnf(refute_0_2777,plain,
( and(not(cin),and(a,b)) != not(or(cin,t1))
| or(and(cin,or(a,b)),and(not(cin),and(a,b))) = or(and(cin,or(a,b)),not(or(cin,t1))) ),
inference(resolve,[$cnf( $equal(or(and(cin,or(a,b)),and(not(cin),and(a,b))),or(and(cin,or(a,b)),and(not(cin),and(a,b)))) )],[refute_0_2775,refute_0_2776]) ).
cnf(refute_0_2778,plain,
or(and(cin,or(a,b)),and(not(cin),and(a,b))) = or(and(cin,or(a,b)),not(or(cin,t1))),
inference(resolve,[$cnf( $equal(and(not(cin),and(a,b)),not(or(cin,t1))) )],[refute_0_2774,refute_0_2777]) ).
cnf(refute_0_2779,plain,
( or(and(cin,or(a,b)),and(not(cin),and(a,b))) != or(and(cin,or(a,b)),not(or(cin,t1)))
| or(and(cin,or(a,b)),not(or(cin,t1))) != or(not(or(cin,t1)),and(cin,or(a,b)))
| or(and(cin,or(a,b)),and(not(cin),and(a,b))) = or(not(or(cin,t1)),and(cin,or(a,b))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(cin,or(a,b)),and(not(cin),and(a,b))))),bind(Y0,$fot(or(and(cin,or(a,b)),not(or(cin,t1))))),bind(Z0,$fot(or(not(or(cin,t1)),and(cin,or(a,b)))))]]) ).
cnf(refute_0_2780,plain,
( or(and(cin,or(a,b)),not(or(cin,t1))) != or(not(or(cin,t1)),and(cin,or(a,b)))
| or(and(cin,or(a,b)),and(not(cin),and(a,b))) = or(not(or(cin,t1)),and(cin,or(a,b))) ),
inference(resolve,[$cnf( $equal(or(and(cin,or(a,b)),and(not(cin),and(a,b))),or(and(cin,or(a,b)),not(or(cin,t1)))) )],[refute_0_2778,refute_0_2779]) ).
cnf(refute_0_2781,plain,
or(and(cin,or(a,b)),and(not(cin),and(a,b))) = or(not(or(cin,t1)),and(cin,or(a,b))),
inference(resolve,[$cnf( $equal(or(and(cin,or(a,b)),not(or(cin,t1))),or(not(or(cin,t1)),and(cin,or(a,b)))) )],[refute_0_2766,refute_0_2780]) ).
cnf(refute_0_2782,plain,
( or(and(cin,or(a,b)),and(not(cin),and(a,b))) != carry_def
| or(and(cin,or(a,b)),and(not(cin),and(a,b))) != or(not(or(cin,t1)),and(cin,or(a,b)))
| or(not(or(cin,t1)),and(cin,or(a,b))) = carry_def ),
introduced(tautology,[equality,[$cnf( $equal(or(and(cin,or(a,b)),and(not(cin),and(a,b))),carry_def) ),[0],$fot(or(not(or(cin,t1)),and(cin,or(a,b))))]]) ).
cnf(refute_0_2783,plain,
( or(and(cin,or(a,b)),and(not(cin),and(a,b))) != carry_def
| or(not(or(cin,t1)),and(cin,or(a,b))) = carry_def ),
inference(resolve,[$cnf( $equal(or(and(cin,or(a,b)),and(not(cin),and(a,b))),or(not(or(cin,t1)),and(cin,or(a,b)))) )],[refute_0_2781,refute_0_2782]) ).
cnf(refute_0_2784,plain,
or(not(or(cin,t1)),and(cin,or(a,b))) = carry_def,
inference(resolve,[$cnf( $equal(or(and(cin,or(a,b)),and(not(cin),and(a,b))),carry_def) )],[carry_def,refute_0_2783]) ).
cnf(refute_0_2785,plain,
( not(or(not(or(cin,t1)),and(cin,or(a,b)))) != not(or(and(cin,or(a,b)),not(or(cin,t1))))
| or(not(or(cin,t1)),and(cin,or(a,b))) != carry_def
| not(carry_def) = not(or(and(cin,or(a,b)),not(or(cin,t1)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(or(cin,t1)),and(cin,or(a,b)))),not(or(and(cin,or(a,b)),not(or(cin,t1))))) ),[0,0],$fot(carry_def)]]) ).
cnf(refute_0_2786,plain,
( not(or(not(or(cin,t1)),and(cin,or(a,b)))) != not(or(and(cin,or(a,b)),not(or(cin,t1))))
| not(carry_def) = not(or(and(cin,or(a,b)),not(or(cin,t1)))) ),
inference(resolve,[$cnf( $equal(or(not(or(cin,t1)),and(cin,or(a,b))),carry_def) )],[refute_0_2784,refute_0_2785]) ).
cnf(refute_0_2787,plain,
not(carry_def) = not(or(and(cin,or(a,b)),not(or(cin,t1)))),
inference(resolve,[$cnf( $equal(not(or(not(or(cin,t1)),and(cin,or(a,b)))),not(or(and(cin,or(a,b)),not(or(cin,t1))))) )],[refute_0_2765,refute_0_2786]) ).
cnf(refute_0_2788,plain,
and(not(and(cin,or(a,b))),or(cin,t1)) = and(or(cin,t1),not(and(cin,or(a,b)))),
inference(subst,[],[refute_0_116:[bind(X,$fot(or(cin,t1))),bind(Y,$fot(not(and(cin,or(a,b)))))]]) ).
cnf(refute_0_2789,plain,
not(or(and(cin,or(a,b)),not(or(cin,t1)))) = and(not(and(cin,or(a,b))),or(cin,t1)),
inference(subst,[],[refute_0_801:[bind(X,$fot(or(cin,t1))),bind(X_25,$fot(and(cin,or(a,b))))]]) ).
cnf(refute_0_2790,plain,
( and(not(and(cin,or(a,b))),or(cin,t1)) != and(or(cin,t1),not(and(cin,or(a,b))))
| not(or(and(cin,or(a,b)),not(or(cin,t1)))) != and(not(and(cin,or(a,b))),or(cin,t1))
| not(or(and(cin,or(a,b)),not(or(cin,t1)))) = and(or(cin,t1),not(and(cin,or(a,b)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(and(cin,or(a,b)),not(or(cin,t1)))))),bind(Y0,$fot(and(not(and(cin,or(a,b))),or(cin,t1)))),bind(Z0,$fot(and(or(cin,t1),not(and(cin,or(a,b))))))]]) ).
cnf(refute_0_2791,plain,
( and(not(and(cin,or(a,b))),or(cin,t1)) != and(or(cin,t1),not(and(cin,or(a,b))))
| not(or(and(cin,or(a,b)),not(or(cin,t1)))) = and(or(cin,t1),not(and(cin,or(a,b)))) ),
inference(resolve,[$cnf( $equal(not(or(and(cin,or(a,b)),not(or(cin,t1)))),and(not(and(cin,or(a,b))),or(cin,t1))) )],[refute_0_2789,refute_0_2790]) ).
cnf(refute_0_2792,plain,
not(or(and(cin,or(a,b)),not(or(cin,t1)))) = and(or(cin,t1),not(and(cin,or(a,b)))),
inference(resolve,[$cnf( $equal(and(not(and(cin,or(a,b))),or(cin,t1)),and(or(cin,t1),not(and(cin,or(a,b))))) )],[refute_0_2788,refute_0_2791]) ).
cnf(refute_0_2793,plain,
( not(carry_def) != not(or(and(cin,or(a,b)),not(or(cin,t1))))
| not(or(and(cin,or(a,b)),not(or(cin,t1)))) != and(or(cin,t1),not(and(cin,or(a,b))))
| not(carry_def) = and(or(cin,t1),not(and(cin,or(a,b)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(carry_def),and(or(cin,t1),not(and(cin,or(a,b))))) ),[0],$fot(not(or(and(cin,or(a,b)),not(or(cin,t1)))))]]) ).
cnf(refute_0_2794,plain,
( not(carry_def) != not(or(and(cin,or(a,b)),not(or(cin,t1))))
| not(carry_def) = and(or(cin,t1),not(and(cin,or(a,b)))) ),
inference(resolve,[$cnf( $equal(not(or(and(cin,or(a,b)),not(or(cin,t1)))),and(or(cin,t1),not(and(cin,or(a,b))))) )],[refute_0_2792,refute_0_2793]) ).
cnf(refute_0_2795,plain,
not(carry_def) = and(or(cin,t1),not(and(cin,or(a,b)))),
inference(resolve,[$cnf( $equal(not(carry_def),not(or(and(cin,or(a,b)),not(or(cin,t1))))) )],[refute_0_2787,refute_0_2794]) ).
cnf(refute_0_2796,plain,
( not(carry_def) != and(or(cin,t1),not(and(cin,or(a,b))))
| and(or(cin,t1),not(and(cin,or(a,b)))) = not(carry_def) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(carry_def))),bind(Y0,$fot(and(or(cin,t1),not(and(cin,or(a,b))))))]]) ).
cnf(refute_0_2797,plain,
and(or(cin,t1),not(and(cin,or(a,b)))) = not(carry_def),
inference(resolve,[$cnf( $equal(not(carry_def),and(or(cin,t1),not(and(cin,or(a,b))))) )],[refute_0_2795,refute_0_2796]) ).
cnf(refute_0_2798,plain,
( and(or(cin,t1),not(and(cin,or(a,b)))) != not(carry_def)
| or(and(or(cin,t1),not(and(cin,or(a,b)))),and(not(or(cin,t1)),and(cin,or(a,b)))) != xor(or(cin,t1),and(cin,or(a,b)))
| or(not(carry_def),and(not(or(cin,t1)),and(cin,or(a,b)))) = xor(or(cin,t1),and(cin,or(a,b))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(or(cin,t1),not(and(cin,or(a,b)))),and(not(or(cin,t1)),and(cin,or(a,b)))),xor(or(cin,t1),and(cin,or(a,b)))) ),[0,0],$fot(not(carry_def))]]) ).
cnf(refute_0_2799,plain,
( or(and(or(cin,t1),not(and(cin,or(a,b)))),and(not(or(cin,t1)),and(cin,or(a,b)))) != xor(or(cin,t1),and(cin,or(a,b)))
| or(not(carry_def),and(not(or(cin,t1)),and(cin,or(a,b)))) = xor(or(cin,t1),and(cin,or(a,b))) ),
inference(resolve,[$cnf( $equal(and(or(cin,t1),not(and(cin,or(a,b)))),not(carry_def)) )],[refute_0_2797,refute_0_2798]) ).
cnf(refute_0_2800,plain,
or(not(carry_def),and(not(or(cin,t1)),and(cin,or(a,b)))) = xor(or(cin,t1),and(cin,or(a,b))),
inference(resolve,[$cnf( $equal(or(and(or(cin,t1),not(and(cin,or(a,b)))),and(not(or(cin,t1)),and(cin,or(a,b)))),xor(or(cin,t1),and(cin,or(a,b)))) )],[refute_0_2764,refute_0_2799]) ).
cnf(refute_0_2801,plain,
( and(not(carry_def),or(not(carry_def),and(not(or(cin,t1)),and(cin,or(a,b))))) != not(carry_def)
| or(not(carry_def),and(not(or(cin,t1)),and(cin,or(a,b)))) != xor(or(cin,t1),and(cin,or(a,b)))
| and(not(carry_def),xor(or(cin,t1),and(cin,or(a,b)))) = not(carry_def) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry_def),or(not(carry_def),and(not(or(cin,t1)),and(cin,or(a,b))))),not(carry_def)) ),[0,1],$fot(xor(or(cin,t1),and(cin,or(a,b))))]]) ).
cnf(refute_0_2802,plain,
( and(not(carry_def),or(not(carry_def),and(not(or(cin,t1)),and(cin,or(a,b))))) != not(carry_def)
| and(not(carry_def),xor(or(cin,t1),and(cin,or(a,b)))) = not(carry_def) ),
inference(resolve,[$cnf( $equal(or(not(carry_def),and(not(or(cin,t1)),and(cin,or(a,b)))),xor(or(cin,t1),and(cin,or(a,b)))) )],[refute_0_2800,refute_0_2801]) ).
cnf(refute_0_2803,plain,
and(not(carry_def),xor(or(cin,t1),and(cin,or(a,b)))) = not(carry_def),
inference(resolve,[$cnf( $equal(and(not(carry_def),or(not(carry_def),and(not(or(cin,t1)),and(cin,or(a,b))))),not(carry_def)) )],[refute_0_2763,refute_0_2802]) ).
cnf(refute_0_2804,plain,
( and(not(carry_def),xor(or(cin,t1),and(cin,or(a,b)))) != not(carry_def)
| not(and(not(carry_def),xor(or(cin,t1),and(cin,or(a,b))))) != or(not(not(carry_def)),not(xor(or(cin,t1),and(cin,or(a,b)))))
| not(not(carry_def)) = or(not(not(carry_def)),not(xor(or(cin,t1),and(cin,or(a,b))))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(carry_def),xor(or(cin,t1),and(cin,or(a,b))))),or(not(not(carry_def)),not(xor(or(cin,t1),and(cin,or(a,b)))))) ),[0,0],$fot(not(carry_def))]]) ).
cnf(refute_0_2805,plain,
( not(and(not(carry_def),xor(or(cin,t1),and(cin,or(a,b))))) != or(not(not(carry_def)),not(xor(or(cin,t1),and(cin,or(a,b)))))
| not(not(carry_def)) = or(not(not(carry_def)),not(xor(or(cin,t1),and(cin,or(a,b))))) ),
inference(resolve,[$cnf( $equal(and(not(carry_def),xor(or(cin,t1),and(cin,or(a,b)))),not(carry_def)) )],[refute_0_2803,refute_0_2804]) ).
cnf(refute_0_2806,plain,
not(not(carry_def)) = or(not(not(carry_def)),not(xor(or(cin,t1),and(cin,or(a,b))))),
inference(resolve,[$cnf( $equal(not(and(not(carry_def),xor(or(cin,t1),and(cin,or(a,b))))),or(not(not(carry_def)),not(xor(or(cin,t1),and(cin,or(a,b)))))) )],[refute_0_2762,refute_0_2805]) ).
cnf(refute_0_2807,plain,
not(not(carry_def)) = carry_def,
inference(subst,[],[not_involution:[bind(X,$fot(carry_def))]]) ).
cnf(refute_0_2808,plain,
( not(not(carry_def)) != carry_def
| not(not(carry_def)) != or(not(not(carry_def)),not(xor(or(cin,t1),and(cin,or(a,b)))))
| carry_def = or(not(not(carry_def)),not(xor(or(cin,t1),and(cin,or(a,b))))) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(carry_def)),or(not(not(carry_def)),not(xor(or(cin,t1),and(cin,or(a,b)))))) ),[0],$fot(carry_def)]]) ).
cnf(refute_0_2809,plain,
( not(not(carry_def)) != or(not(not(carry_def)),not(xor(or(cin,t1),and(cin,or(a,b)))))
| carry_def = or(not(not(carry_def)),not(xor(or(cin,t1),and(cin,or(a,b))))) ),
inference(resolve,[$cnf( $equal(not(not(carry_def)),carry_def) )],[refute_0_2807,refute_0_2808]) ).
cnf(refute_0_2810,plain,
not(and(not(carry_def),xor(or(cin,t1),and(cin,or(a,b))))) = or(carry_def,not(xor(or(cin,t1),and(cin,or(a,b))))),
inference(subst,[],[refute_0_787:[bind(X,$fot(carry_def)),bind(X_32,$fot(xor(or(cin,t1),and(cin,or(a,b)))))]]) ).
cnf(refute_0_2811,plain,
or(not(not(carry_def)),not(xor(or(cin,t1),and(cin,or(a,b))))) = not(and(not(carry_def),xor(or(cin,t1),and(cin,or(a,b))))),
inference(subst,[],[refute_0_147:[bind(X,$fot(not(carry_def))),bind(Y,$fot(xor(or(cin,t1),and(cin,or(a,b)))))]]) ).
cnf(refute_0_2812,plain,
( not(and(not(carry_def),xor(or(cin,t1),and(cin,or(a,b))))) != or(carry_def,not(xor(or(cin,t1),and(cin,or(a,b)))))
| or(not(not(carry_def)),not(xor(or(cin,t1),and(cin,or(a,b))))) != not(and(not(carry_def),xor(or(cin,t1),and(cin,or(a,b)))))
| or(not(not(carry_def)),not(xor(or(cin,t1),and(cin,or(a,b))))) = or(carry_def,not(xor(or(cin,t1),and(cin,or(a,b))))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(not(carry_def)),not(xor(or(cin,t1),and(cin,or(a,b))))))),bind(Y0,$fot(not(and(not(carry_def),xor(or(cin,t1),and(cin,or(a,b))))))),bind(Z0,$fot(or(carry_def,not(xor(or(cin,t1),and(cin,or(a,b)))))))]]) ).
cnf(refute_0_2813,plain,
( not(and(not(carry_def),xor(or(cin,t1),and(cin,or(a,b))))) != or(carry_def,not(xor(or(cin,t1),and(cin,or(a,b)))))
| or(not(not(carry_def)),not(xor(or(cin,t1),and(cin,or(a,b))))) = or(carry_def,not(xor(or(cin,t1),and(cin,or(a,b))))) ),
inference(resolve,[$cnf( $equal(or(not(not(carry_def)),not(xor(or(cin,t1),and(cin,or(a,b))))),not(and(not(carry_def),xor(or(cin,t1),and(cin,or(a,b)))))) )],[refute_0_2811,refute_0_2812]) ).
cnf(refute_0_2814,plain,
or(not(not(carry_def)),not(xor(or(cin,t1),and(cin,or(a,b))))) = or(carry_def,not(xor(or(cin,t1),and(cin,or(a,b))))),
inference(resolve,[$cnf( $equal(not(and(not(carry_def),xor(or(cin,t1),and(cin,or(a,b))))),or(carry_def,not(xor(or(cin,t1),and(cin,or(a,b)))))) )],[refute_0_2810,refute_0_2813]) ).
cnf(refute_0_2815,plain,
( carry_def != or(not(not(carry_def)),not(xor(or(cin,t1),and(cin,or(a,b)))))
| or(not(not(carry_def)),not(xor(or(cin,t1),and(cin,or(a,b))))) != or(carry_def,not(xor(or(cin,t1),and(cin,or(a,b)))))
| carry_def = or(carry_def,not(xor(or(cin,t1),and(cin,or(a,b))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(carry_def,or(carry_def,not(xor(or(cin,t1),and(cin,or(a,b)))))) ),[0],$fot(or(not(not(carry_def)),not(xor(or(cin,t1),and(cin,or(a,b))))))]]) ).
cnf(refute_0_2816,plain,
( carry_def != or(not(not(carry_def)),not(xor(or(cin,t1),and(cin,or(a,b)))))
| carry_def = or(carry_def,not(xor(or(cin,t1),and(cin,or(a,b))))) ),
inference(resolve,[$cnf( $equal(or(not(not(carry_def)),not(xor(or(cin,t1),and(cin,or(a,b))))),or(carry_def,not(xor(or(cin,t1),and(cin,or(a,b)))))) )],[refute_0_2814,refute_0_2815]) ).
cnf(refute_0_2817,plain,
( not(not(carry_def)) != or(not(not(carry_def)),not(xor(or(cin,t1),and(cin,or(a,b)))))
| carry_def = or(carry_def,not(xor(or(cin,t1),and(cin,or(a,b))))) ),
inference(resolve,[$cnf( $equal(carry_def,or(not(not(carry_def)),not(xor(or(cin,t1),and(cin,or(a,b)))))) )],[refute_0_2809,refute_0_2816]) ).
cnf(refute_0_2818,plain,
carry_def = or(carry_def,not(xor(or(cin,t1),and(cin,or(a,b))))),
inference(resolve,[$cnf( $equal(not(not(carry_def)),or(not(not(carry_def)),not(xor(or(cin,t1),and(cin,or(a,b)))))) )],[refute_0_2806,refute_0_2817]) ).
cnf(refute_0_2819,plain,
( carry_def != or(carry_def,not(xor(or(cin,t1),and(cin,or(a,b)))))
| or(carry_def,not(xor(or(cin,t1),and(cin,or(a,b))))) = carry_def ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(carry_def)),bind(Y0,$fot(or(carry_def,not(xor(or(cin,t1),and(cin,or(a,b)))))))]]) ).
cnf(refute_0_2820,plain,
or(carry_def,not(xor(or(cin,t1),and(cin,or(a,b))))) = carry_def,
inference(resolve,[$cnf( $equal(carry_def,or(carry_def,not(xor(or(cin,t1),and(cin,or(a,b)))))) )],[refute_0_2818,refute_0_2819]) ).
cnf(refute_0_2821,plain,
( and(not(xor(or(cin,t1),and(cin,or(a,b)))),or(carry_def,not(xor(or(cin,t1),and(cin,or(a,b)))))) != not(xor(or(cin,t1),and(cin,or(a,b))))
| or(carry_def,not(xor(or(cin,t1),and(cin,or(a,b))))) != carry_def
| and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def) = not(xor(or(cin,t1),and(cin,or(a,b)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(xor(or(cin,t1),and(cin,or(a,b)))),or(carry_def,not(xor(or(cin,t1),and(cin,or(a,b)))))),not(xor(or(cin,t1),and(cin,or(a,b))))) ),[0,1],$fot(carry_def)]]) ).
cnf(refute_0_2822,plain,
( and(not(xor(or(cin,t1),and(cin,or(a,b)))),or(carry_def,not(xor(or(cin,t1),and(cin,or(a,b)))))) != not(xor(or(cin,t1),and(cin,or(a,b))))
| and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def) = not(xor(or(cin,t1),and(cin,or(a,b)))) ),
inference(resolve,[$cnf( $equal(or(carry_def,not(xor(or(cin,t1),and(cin,or(a,b))))),carry_def) )],[refute_0_2820,refute_0_2821]) ).
cnf(refute_0_2823,plain,
and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def) = not(xor(or(cin,t1),and(cin,or(a,b)))),
inference(resolve,[$cnf( $equal(and(not(xor(or(cin,t1),and(cin,or(a,b)))),or(carry_def,not(xor(or(cin,t1),and(cin,or(a,b)))))),not(xor(or(cin,t1),and(cin,or(a,b))))) )],[refute_0_2761,refute_0_2822]) ).
cnf(refute_0_2824,plain,
and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def) = and(carry_def,not(xor(or(cin,t1),and(cin,or(a,b))))),
inference(subst,[],[refute_0_116:[bind(X,$fot(carry_def)),bind(Y,$fot(not(xor(or(cin,t1),and(cin,or(a,b))))))]]) ).
cnf(refute_0_2825,plain,
( and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def) != and(carry_def,not(xor(or(cin,t1),and(cin,or(a,b)))))
| and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def) != not(xor(or(cin,t1),and(cin,or(a,b))))
| and(carry_def,not(xor(or(cin,t1),and(cin,or(a,b))))) = not(xor(or(cin,t1),and(cin,or(a,b)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def),not(xor(or(cin,t1),and(cin,or(a,b))))) ),[0],$fot(and(carry_def,not(xor(or(cin,t1),and(cin,or(a,b))))))]]) ).
cnf(refute_0_2826,plain,
( and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def) != not(xor(or(cin,t1),and(cin,or(a,b))))
| and(carry_def,not(xor(or(cin,t1),and(cin,or(a,b))))) = not(xor(or(cin,t1),and(cin,or(a,b)))) ),
inference(resolve,[$cnf( $equal(and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def),and(carry_def,not(xor(or(cin,t1),and(cin,or(a,b)))))) )],[refute_0_2824,refute_0_2825]) ).
cnf(refute_0_2827,plain,
and(carry_def,not(xor(or(cin,t1),and(cin,or(a,b))))) = not(xor(or(cin,t1),and(cin,or(a,b)))),
inference(resolve,[$cnf( $equal(and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def),not(xor(or(cin,t1),and(cin,or(a,b))))) )],[refute_0_2823,refute_0_2826]) ).
cnf(refute_0_2828,plain,
( and(carry_def,not(xor(or(cin,t1),and(cin,or(a,b))))) != not(xor(or(cin,t1),and(cin,or(a,b))))
| not(and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def)) != not(and(carry_def,not(xor(or(cin,t1),and(cin,or(a,b))))))
| not(and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def)) = not(not(xor(or(cin,t1),and(cin,or(a,b))))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def)),not(and(carry_def,not(xor(or(cin,t1),and(cin,or(a,b))))))) ),[1,0],$fot(not(xor(or(cin,t1),and(cin,or(a,b)))))]]) ).
cnf(refute_0_2829,plain,
( not(and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def)) != not(and(carry_def,not(xor(or(cin,t1),and(cin,or(a,b))))))
| not(and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def)) = not(not(xor(or(cin,t1),and(cin,or(a,b))))) ),
inference(resolve,[$cnf( $equal(and(carry_def,not(xor(or(cin,t1),and(cin,or(a,b))))),not(xor(or(cin,t1),and(cin,or(a,b))))) )],[refute_0_2827,refute_0_2828]) ).
cnf(refute_0_2830,plain,
not(and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def)) = not(not(xor(or(cin,t1),and(cin,or(a,b))))),
inference(resolve,[$cnf( $equal(not(and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def)),not(and(carry_def,not(xor(or(cin,t1),and(cin,or(a,b))))))) )],[refute_0_2760,refute_0_2829]) ).
cnf(refute_0_2831,plain,
and(carry_def,carry_def) = carry_def,
inference(subst,[],[and_idempotent:[bind(X,$fot(carry_def))]]) ).
cnf(refute_0_2832,plain,
not(and(carry_def,carry_def)) = not(and(carry_def,carry_def)),
introduced(tautology,[refl,[$fot(not(and(carry_def,carry_def)))]]) ).
cnf(refute_0_2833,plain,
( and(carry_def,carry_def) != carry_def
| not(and(carry_def,carry_def)) != not(and(carry_def,carry_def))
| not(and(carry_def,carry_def)) = not(carry_def) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(carry_def,carry_def)),not(and(carry_def,carry_def))) ),[1,0],$fot(carry_def)]]) ).
cnf(refute_0_2834,plain,
( and(carry_def,carry_def) != carry_def
| not(and(carry_def,carry_def)) = not(carry_def) ),
inference(resolve,[$cnf( $equal(not(and(carry_def,carry_def)),not(and(carry_def,carry_def))) )],[refute_0_2832,refute_0_2833]) ).
cnf(refute_0_2835,plain,
not(and(carry_def,carry_def)) = not(carry_def),
inference(resolve,[$cnf( $equal(and(carry_def,carry_def),carry_def) )],[refute_0_2831,refute_0_2834]) ).
cnf(refute_0_2836,plain,
or(not(carry_def),not(carry_def)) = not(and(carry_def,carry_def)),
inference(subst,[],[refute_0_147:[bind(X,$fot(carry_def)),bind(Y,$fot(carry_def))]]) ).
cnf(refute_0_2837,plain,
or(or(not(carry_def),and(not(or(cin,t1)),and(cin,or(a,b)))),Z) = or(not(carry_def),or(and(not(or(cin,t1)),and(cin,or(a,b))),Z)),
inference(subst,[],[or_associative:[bind(X,$fot(not(carry_def))),bind(Y,$fot(and(not(or(cin,t1)),and(cin,or(a,b)))))]]) ).
cnf(refute_0_2838,plain,
( or(not(carry_def),and(not(or(cin,t1)),and(cin,or(a,b)))) != xor(or(cin,t1),and(cin,or(a,b)))
| or(or(not(carry_def),and(not(or(cin,t1)),and(cin,or(a,b)))),Z) != or(not(carry_def),or(and(not(or(cin,t1)),and(cin,or(a,b))),Z))
| or(xor(or(cin,t1),and(cin,or(a,b))),Z) = or(not(carry_def),or(and(not(or(cin,t1)),and(cin,or(a,b))),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(not(carry_def),and(not(or(cin,t1)),and(cin,or(a,b)))),Z),or(not(carry_def),or(and(not(or(cin,t1)),and(cin,or(a,b))),Z))) ),[0,0],$fot(xor(or(cin,t1),and(cin,or(a,b))))]]) ).
cnf(refute_0_2839,plain,
( or(or(not(carry_def),and(not(or(cin,t1)),and(cin,or(a,b)))),Z) != or(not(carry_def),or(and(not(or(cin,t1)),and(cin,or(a,b))),Z))
| or(xor(or(cin,t1),and(cin,or(a,b))),Z) = or(not(carry_def),or(and(not(or(cin,t1)),and(cin,or(a,b))),Z)) ),
inference(resolve,[$cnf( $equal(or(not(carry_def),and(not(or(cin,t1)),and(cin,or(a,b)))),xor(or(cin,t1),and(cin,or(a,b)))) )],[refute_0_2800,refute_0_2838]) ).
cnf(refute_0_2840,plain,
or(xor(or(cin,t1),and(cin,or(a,b))),Z) = or(not(carry_def),or(and(not(or(cin,t1)),and(cin,or(a,b))),Z)),
inference(resolve,[$cnf( $equal(or(or(not(carry_def),and(not(or(cin,t1)),and(cin,or(a,b)))),Z),or(not(carry_def),or(and(not(or(cin,t1)),and(cin,or(a,b))),Z))) )],[refute_0_2837,refute_0_2839]) ).
cnf(refute_0_2841,plain,
and(cin,and(not(or(cin,t1)),or(a,b))) = and(cin,and(or(a,b),not(or(cin,t1)))),
inference(subst,[],[refute_0_2637:[bind(X_220,$fot(cin)),bind(X_221,$fot(or(a,b))),bind(X_222,$fot(not(or(cin,t1))))]]) ).
cnf(refute_0_2842,plain,
and(not(or(cin,t1)),and(cin,or(a,b))) = and(cin,and(not(or(cin,t1)),or(a,b))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(or(cin,t1)))),bind(X_221,$fot(cin)),bind(X_222,$fot(or(a,b)))]]) ).
cnf(refute_0_2843,plain,
( and(cin,and(not(or(cin,t1)),or(a,b))) != and(cin,and(or(a,b),not(or(cin,t1))))
| and(not(or(cin,t1)),and(cin,or(a,b))) != and(cin,and(not(or(cin,t1)),or(a,b)))
| and(not(or(cin,t1)),and(cin,or(a,b))) = and(cin,and(or(a,b),not(or(cin,t1)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(or(cin,t1)),and(cin,or(a,b))))),bind(Y0,$fot(and(cin,and(not(or(cin,t1)),or(a,b))))),bind(Z0,$fot(and(cin,and(or(a,b),not(or(cin,t1))))))]]) ).
cnf(refute_0_2844,plain,
( and(cin,and(not(or(cin,t1)),or(a,b))) != and(cin,and(or(a,b),not(or(cin,t1))))
| and(not(or(cin,t1)),and(cin,or(a,b))) = and(cin,and(or(a,b),not(or(cin,t1)))) ),
inference(resolve,[$cnf( $equal(and(not(or(cin,t1)),and(cin,or(a,b))),and(cin,and(not(or(cin,t1)),or(a,b)))) )],[refute_0_2842,refute_0_2843]) ).
cnf(refute_0_2845,plain,
and(not(or(cin,t1)),and(cin,or(a,b))) = and(cin,and(or(a,b),not(or(cin,t1)))),
inference(resolve,[$cnf( $equal(and(cin,and(not(or(cin,t1)),or(a,b))),and(cin,and(or(a,b),not(or(cin,t1))))) )],[refute_0_2841,refute_0_2844]) ).
cnf(refute_0_2846,plain,
or(and(not(or(cin,t1)),and(cin,or(a,b))),Z) = or(and(not(or(cin,t1)),and(cin,or(a,b))),Z),
introduced(tautology,[refl,[$fot(or(and(not(or(cin,t1)),and(cin,or(a,b))),Z))]]) ).
cnf(refute_0_2847,plain,
( and(not(or(cin,t1)),and(cin,or(a,b))) != and(cin,and(or(a,b),not(or(cin,t1))))
| or(and(not(or(cin,t1)),and(cin,or(a,b))),Z) != or(and(not(or(cin,t1)),and(cin,or(a,b))),Z)
| or(and(not(or(cin,t1)),and(cin,or(a,b))),Z) = or(and(cin,and(or(a,b),not(or(cin,t1)))),Z) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(not(or(cin,t1)),and(cin,or(a,b))),Z),or(and(not(or(cin,t1)),and(cin,or(a,b))),Z)) ),[1,0],$fot(and(cin,and(or(a,b),not(or(cin,t1)))))]]) ).
cnf(refute_0_2848,plain,
( and(not(or(cin,t1)),and(cin,or(a,b))) != and(cin,and(or(a,b),not(or(cin,t1))))
| or(and(not(or(cin,t1)),and(cin,or(a,b))),Z) = or(and(cin,and(or(a,b),not(or(cin,t1)))),Z) ),
inference(resolve,[$cnf( $equal(or(and(not(or(cin,t1)),and(cin,or(a,b))),Z),or(and(not(or(cin,t1)),and(cin,or(a,b))),Z)) )],[refute_0_2846,refute_0_2847]) ).
cnf(refute_0_2849,plain,
or(and(not(or(cin,t1)),and(cin,or(a,b))),Z) = or(and(cin,and(or(a,b),not(or(cin,t1)))),Z),
inference(resolve,[$cnf( $equal(and(not(or(cin,t1)),and(cin,or(a,b))),and(cin,and(or(a,b),not(or(cin,t1))))) )],[refute_0_2845,refute_0_2848]) ).
cnf(refute_0_2850,plain,
or(not(carry_def),or(and(not(or(cin,t1)),and(cin,or(a,b))),Z)) = or(not(carry_def),or(and(not(or(cin,t1)),and(cin,or(a,b))),Z)),
introduced(tautology,[refl,[$fot(or(not(carry_def),or(and(not(or(cin,t1)),and(cin,or(a,b))),Z)))]]) ).
cnf(refute_0_2851,plain,
( or(and(not(or(cin,t1)),and(cin,or(a,b))),Z) != or(and(cin,and(or(a,b),not(or(cin,t1)))),Z)
| or(not(carry_def),or(and(not(or(cin,t1)),and(cin,or(a,b))),Z)) != or(not(carry_def),or(and(not(or(cin,t1)),and(cin,or(a,b))),Z))
| or(not(carry_def),or(and(not(or(cin,t1)),and(cin,or(a,b))),Z)) = or(not(carry_def),or(and(cin,and(or(a,b),not(or(cin,t1)))),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(carry_def),or(and(not(or(cin,t1)),and(cin,or(a,b))),Z)),or(not(carry_def),or(and(not(or(cin,t1)),and(cin,or(a,b))),Z))) ),[1,1],$fot(or(and(cin,and(or(a,b),not(or(cin,t1)))),Z))]]) ).
cnf(refute_0_2852,plain,
( or(and(not(or(cin,t1)),and(cin,or(a,b))),Z) != or(and(cin,and(or(a,b),not(or(cin,t1)))),Z)
| or(not(carry_def),or(and(not(or(cin,t1)),and(cin,or(a,b))),Z)) = or(not(carry_def),or(and(cin,and(or(a,b),not(or(cin,t1)))),Z)) ),
inference(resolve,[$cnf( $equal(or(not(carry_def),or(and(not(or(cin,t1)),and(cin,or(a,b))),Z)),or(not(carry_def),or(and(not(or(cin,t1)),and(cin,or(a,b))),Z))) )],[refute_0_2850,refute_0_2851]) ).
cnf(refute_0_2853,plain,
or(not(carry_def),or(and(not(or(cin,t1)),and(cin,or(a,b))),Z)) = or(not(carry_def),or(and(cin,and(or(a,b),not(or(cin,t1)))),Z)),
inference(resolve,[$cnf( $equal(or(and(not(or(cin,t1)),and(cin,or(a,b))),Z),or(and(cin,and(or(a,b),not(or(cin,t1)))),Z)) )],[refute_0_2849,refute_0_2852]) ).
cnf(refute_0_2854,plain,
( or(not(carry_def),or(and(not(or(cin,t1)),and(cin,or(a,b))),Z)) != or(not(carry_def),or(and(cin,and(or(a,b),not(or(cin,t1)))),Z))
| or(xor(or(cin,t1),and(cin,or(a,b))),Z) != or(not(carry_def),or(and(not(or(cin,t1)),and(cin,or(a,b))),Z))
| or(xor(or(cin,t1),and(cin,or(a,b))),Z) = or(not(carry_def),or(and(cin,and(or(a,b),not(or(cin,t1)))),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(or(cin,t1),and(cin,or(a,b))),Z),or(not(carry_def),or(and(not(or(cin,t1)),and(cin,or(a,b))),Z))) ),[1],$fot(or(not(carry_def),or(and(cin,and(or(a,b),not(or(cin,t1)))),Z)))]]) ).
cnf(refute_0_2855,plain,
( or(xor(or(cin,t1),and(cin,or(a,b))),Z) != or(not(carry_def),or(and(not(or(cin,t1)),and(cin,or(a,b))),Z))
| or(xor(or(cin,t1),and(cin,or(a,b))),Z) = or(not(carry_def),or(and(cin,and(or(a,b),not(or(cin,t1)))),Z)) ),
inference(resolve,[$cnf( $equal(or(not(carry_def),or(and(not(or(cin,t1)),and(cin,or(a,b))),Z)),or(not(carry_def),or(and(cin,and(or(a,b),not(or(cin,t1)))),Z))) )],[refute_0_2853,refute_0_2854]) ).
cnf(refute_0_2856,plain,
or(xor(or(cin,t1),and(cin,or(a,b))),Z) = or(not(carry_def),or(and(cin,and(or(a,b),not(or(cin,t1)))),Z)),
inference(resolve,[$cnf( $equal(or(xor(or(cin,t1),and(cin,or(a,b))),Z),or(not(carry_def),or(and(not(or(cin,t1)),and(cin,or(a,b))),Z))) )],[refute_0_2840,refute_0_2855]) ).
cnf(refute_0_2857,plain,
or(ll0,Z) = Z,
inference(subst,[],[refute_0_124:[bind(X,$fot(Z))]]) ).
cnf(refute_0_2858,plain,
not(or(not(X),or(not(not(X)),X_54))) = and(X,not(or(not(not(X)),X_54))),
inference(subst,[],[refute_0_159:[bind(X_26,$fot(or(not(not(X)),X_54)))]]) ).
cnf(refute_0_2859,plain,
ll1 = or(not(X),or(not(not(X)),X_54)),
inference(subst,[],[refute_0_632:[bind(X_37,$fot(not(X))),bind(X_39,$fot(X_54))]]) ).
cnf(refute_0_2860,plain,
( ll1 != or(not(X),or(not(not(X)),X_54))
| or(not(X),or(not(not(X)),X_54)) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(not(X),or(not(not(X)),X_54))))]]) ).
cnf(refute_0_2861,plain,
or(not(X),or(not(not(X)),X_54)) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(not(X),or(not(not(X)),X_54))) )],[refute_0_2859,refute_0_2860]) ).
cnf(refute_0_2862,plain,
( not(or(not(X),or(not(not(X)),X_54))) != and(X,not(or(not(not(X)),X_54)))
| or(not(X),or(not(not(X)),X_54)) != ll1
| not(ll1) = and(X,not(or(not(not(X)),X_54))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(X),or(not(not(X)),X_54))),and(X,not(or(not(not(X)),X_54)))) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_2863,plain,
( not(or(not(X),or(not(not(X)),X_54))) != and(X,not(or(not(not(X)),X_54)))
| not(ll1) = and(X,not(or(not(not(X)),X_54))) ),
inference(resolve,[$cnf( $equal(or(not(X),or(not(not(X)),X_54)),ll1) )],[refute_0_2861,refute_0_2862]) ).
cnf(refute_0_2864,plain,
not(ll1) = and(X,not(or(not(not(X)),X_54))),
inference(resolve,[$cnf( $equal(not(or(not(X),or(not(not(X)),X_54))),and(X,not(or(not(not(X)),X_54)))) )],[refute_0_2858,refute_0_2863]) ).
cnf(refute_0_2865,plain,
( not(ll1) != and(X,not(or(not(not(X)),X_54)))
| not(ll1) != ll0
| ll0 = and(X,not(or(not(not(X)),X_54))) ),
introduced(tautology,[equality,[$cnf( $equal(not(ll1),and(X,not(or(not(not(X)),X_54)))) ),[0],$fot(ll0)]]) ).
cnf(refute_0_2866,plain,
( not(ll1) != and(X,not(or(not(not(X)),X_54)))
| ll0 = and(X,not(or(not(not(X)),X_54))) ),
inference(resolve,[$cnf( $equal(not(ll1),ll0) )],[ll1_inverse,refute_0_2865]) ).
cnf(refute_0_2867,plain,
and(not(X),not(X_54)) = not(or(X,X_54)),
inference(subst,[],[refute_0_101:[bind(Y,$fot(X_54))]]) ).
cnf(refute_0_2868,plain,
not(or(not(not(X)),X_54)) = and(not(X),not(X_54)),
inference(subst,[],[refute_0_159:[bind(X,$fot(not(X))),bind(X_26,$fot(X_54))]]) ).
cnf(refute_0_2869,plain,
( and(not(X),not(X_54)) != not(or(X,X_54))
| not(or(not(not(X)),X_54)) != and(not(X),not(X_54))
| not(or(not(not(X)),X_54)) = not(or(X,X_54)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(not(not(X)),X_54)))),bind(Y0,$fot(and(not(X),not(X_54)))),bind(Z0,$fot(not(or(X,X_54))))]]) ).
cnf(refute_0_2870,plain,
( and(not(X),not(X_54)) != not(or(X,X_54))
| not(or(not(not(X)),X_54)) = not(or(X,X_54)) ),
inference(resolve,[$cnf( $equal(not(or(not(not(X)),X_54)),and(not(X),not(X_54))) )],[refute_0_2868,refute_0_2869]) ).
cnf(refute_0_2871,plain,
not(or(not(not(X)),X_54)) = not(or(X,X_54)),
inference(resolve,[$cnf( $equal(and(not(X),not(X_54)),not(or(X,X_54))) )],[refute_0_2867,refute_0_2870]) ).
cnf(refute_0_2872,plain,
and(X,not(or(not(not(X)),X_54))) = and(X,not(or(not(not(X)),X_54))),
introduced(tautology,[refl,[$fot(and(X,not(or(not(not(X)),X_54))))]]) ).
cnf(refute_0_2873,plain,
( and(X,not(or(not(not(X)),X_54))) != and(X,not(or(not(not(X)),X_54)))
| not(or(not(not(X)),X_54)) != not(or(X,X_54))
| and(X,not(or(not(not(X)),X_54))) = and(X,not(or(X,X_54))) ),
introduced(tautology,[equality,[$cnf( $equal(and(X,not(or(not(not(X)),X_54))),and(X,not(or(not(not(X)),X_54)))) ),[1,1],$fot(not(or(X,X_54)))]]) ).
cnf(refute_0_2874,plain,
( not(or(not(not(X)),X_54)) != not(or(X,X_54))
| and(X,not(or(not(not(X)),X_54))) = and(X,not(or(X,X_54))) ),
inference(resolve,[$cnf( $equal(and(X,not(or(not(not(X)),X_54))),and(X,not(or(not(not(X)),X_54)))) )],[refute_0_2872,refute_0_2873]) ).
cnf(refute_0_2875,plain,
and(X,not(or(not(not(X)),X_54))) = and(X,not(or(X,X_54))),
inference(resolve,[$cnf( $equal(not(or(not(not(X)),X_54)),not(or(X,X_54))) )],[refute_0_2871,refute_0_2874]) ).
cnf(refute_0_2876,plain,
( and(X,not(or(not(not(X)),X_54))) != and(X,not(or(X,X_54)))
| ll0 != and(X,not(or(not(not(X)),X_54)))
| ll0 = and(X,not(or(X,X_54))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(X,not(or(not(not(X)),X_54)))) ),[1],$fot(and(X,not(or(X,X_54))))]]) ).
cnf(refute_0_2877,plain,
( ll0 != and(X,not(or(not(not(X)),X_54)))
| ll0 = and(X,not(or(X,X_54))) ),
inference(resolve,[$cnf( $equal(and(X,not(or(not(not(X)),X_54))),and(X,not(or(X,X_54)))) )],[refute_0_2875,refute_0_2876]) ).
cnf(refute_0_2878,plain,
( not(ll1) != and(X,not(or(not(not(X)),X_54)))
| ll0 = and(X,not(or(X,X_54))) ),
inference(resolve,[$cnf( $equal(ll0,and(X,not(or(not(not(X)),X_54)))) )],[refute_0_2866,refute_0_2877]) ).
cnf(refute_0_2879,plain,
ll0 = and(X,not(or(X,X_54))),
inference(resolve,[$cnf( $equal(not(ll1),and(X,not(or(not(not(X)),X_54)))) )],[refute_0_2864,refute_0_2878]) ).
cnf(refute_0_2880,plain,
( ll0 != and(X,not(or(X,X_54)))
| and(X,not(or(X,X_54))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(X,not(or(X,X_54)))))]]) ).
cnf(refute_0_2881,plain,
and(X,not(or(X,X_54))) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(X,not(or(X,X_54)))) )],[refute_0_2879,refute_0_2880]) ).
cnf(refute_0_2882,plain,
and(cin,not(or(cin,t1))) = ll0,
inference(subst,[],[refute_0_2881:[bind(X,$fot(cin)),bind(X_54,$fot(t1))]]) ).
cnf(refute_0_2883,plain,
or(t1,and(t1,xor(a,t3))) = t1,
inference(subst,[],[or_absorption:[bind(X,$fot(t1)),bind(Y,$fot(xor(a,t3)))]]) ).
cnf(refute_0_2884,plain,
and(and(t1,not(a)),X_222) = and(t1,and(not(a),X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(t1)),bind(Y,$fot(not(a))),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_2885,plain,
( and(and(t1,not(a)),X_222) != and(t1,and(not(a),X_222))
| and(t1,not(a)) != not(a)
| and(not(a),X_222) = and(t1,and(not(a),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t1,not(a)),X_222),and(t1,and(not(a),X_222))) ),[0,0],$fot(not(a))]]) ).
cnf(refute_0_2886,plain,
( and(and(t1,not(a)),X_222) != and(t1,and(not(a),X_222))
| and(not(a),X_222) = and(t1,and(not(a),X_222)) ),
inference(resolve,[$cnf( $equal(and(t1,not(a)),not(a)) )],[refute_0_351,refute_0_2885]) ).
cnf(refute_0_2887,plain,
and(not(a),X_222) = and(t1,and(not(a),X_222)),
inference(resolve,[$cnf( $equal(and(and(t1,not(a)),X_222),and(t1,and(not(a),X_222))) )],[refute_0_2884,refute_0_2886]) ).
cnf(refute_0_2888,plain,
and(not(a),xor(a,t3)) = and(t1,and(not(a),xor(a,t3))),
inference(subst,[],[refute_0_2887:[bind(X_222,$fot(xor(a,t3)))]]) ).
cnf(refute_0_2889,plain,
( and(not(a),xor(a,t3)) != and(t1,and(not(a),xor(a,t3)))
| and(not(a),xor(a,t3)) != xor(a,t3)
| and(not(a),xor(a,t3)) = and(t1,xor(a,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(a),xor(a,t3)),and(t1,and(not(a),xor(a,t3)))) ),[1,1],$fot(xor(a,t3))]]) ).
cnf(refute_0_2890,plain,
( and(not(a),xor(a,t3)) != and(t1,and(not(a),xor(a,t3)))
| and(not(a),xor(a,t3)) = and(t1,xor(a,t3)) ),
inference(resolve,[$cnf( $equal(and(not(a),xor(a,t3)),xor(a,t3)) )],[refute_0_1820,refute_0_2889]) ).
cnf(refute_0_2891,plain,
and(not(a),xor(a,t3)) = and(t1,xor(a,t3)),
inference(resolve,[$cnf( $equal(and(not(a),xor(a,t3)),and(t1,and(not(a),xor(a,t3)))) )],[refute_0_2888,refute_0_2890]) ).
cnf(refute_0_2892,plain,
( and(not(a),xor(a,t3)) != and(t1,xor(a,t3))
| and(not(a),xor(a,t3)) != xor(a,t3)
| xor(a,t3) = and(t1,xor(a,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(a),xor(a,t3)),and(t1,xor(a,t3))) ),[0],$fot(xor(a,t3))]]) ).
cnf(refute_0_2893,plain,
( and(not(a),xor(a,t3)) != and(t1,xor(a,t3))
| xor(a,t3) = and(t1,xor(a,t3)) ),
inference(resolve,[$cnf( $equal(and(not(a),xor(a,t3)),xor(a,t3)) )],[refute_0_1820,refute_0_2892]) ).
cnf(refute_0_2894,plain,
xor(a,t3) = and(t1,xor(a,t3)),
inference(resolve,[$cnf( $equal(and(not(a),xor(a,t3)),and(t1,xor(a,t3))) )],[refute_0_2891,refute_0_2893]) ).
cnf(refute_0_2895,plain,
( xor(a,t3) != and(t1,xor(a,t3))
| and(t1,xor(a,t3)) = xor(a,t3) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(a,t3))),bind(Y0,$fot(and(t1,xor(a,t3))))]]) ).
cnf(refute_0_2896,plain,
and(t1,xor(a,t3)) = xor(a,t3),
inference(resolve,[$cnf( $equal(xor(a,t3),and(t1,xor(a,t3))) )],[refute_0_2894,refute_0_2895]) ).
cnf(refute_0_2897,plain,
( and(t1,xor(a,t3)) != xor(a,t3)
| or(t1,and(t1,xor(a,t3))) != t1
| or(t1,xor(a,t3)) = t1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,and(t1,xor(a,t3))),t1) ),[0,1],$fot(xor(a,t3))]]) ).
cnf(refute_0_2898,plain,
( or(t1,and(t1,xor(a,t3))) != t1
| or(t1,xor(a,t3)) = t1 ),
inference(resolve,[$cnf( $equal(and(t1,xor(a,t3)),xor(a,t3)) )],[refute_0_2896,refute_0_2897]) ).
cnf(refute_0_2899,plain,
or(t1,xor(a,t3)) = t1,
inference(resolve,[$cnf( $equal(or(t1,and(t1,xor(a,t3))),t1) )],[refute_0_2883,refute_0_2898]) ).
cnf(refute_0_2900,plain,
or(cin,or(t1,xor(a,t3))) = or(cin,or(t1,xor(a,t3))),
introduced(tautology,[refl,[$fot(or(cin,or(t1,xor(a,t3))))]]) ).
cnf(refute_0_2901,plain,
( or(cin,or(t1,xor(a,t3))) != or(cin,or(t1,xor(a,t3)))
| or(t1,xor(a,t3)) != t1
| or(cin,or(t1,xor(a,t3))) = or(cin,t1) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,or(t1,xor(a,t3))),or(cin,or(t1,xor(a,t3)))) ),[1,1],$fot(t1)]]) ).
cnf(refute_0_2902,plain,
( or(t1,xor(a,t3)) != t1
| or(cin,or(t1,xor(a,t3))) = or(cin,t1) ),
inference(resolve,[$cnf( $equal(or(cin,or(t1,xor(a,t3))),or(cin,or(t1,xor(a,t3)))) )],[refute_0_2900,refute_0_2901]) ).
cnf(refute_0_2903,plain,
or(cin,or(t1,xor(a,t3))) = or(cin,t1),
inference(resolve,[$cnf( $equal(or(t1,xor(a,t3)),t1) )],[refute_0_2899,refute_0_2902]) ).
cnf(refute_0_2904,plain,
not(or(cin,or(t1,xor(a,t3)))) = not(or(cin,or(t1,xor(a,t3)))),
introduced(tautology,[refl,[$fot(not(or(cin,or(t1,xor(a,t3)))))]]) ).
cnf(refute_0_2905,plain,
( not(or(cin,or(t1,xor(a,t3)))) != not(or(cin,or(t1,xor(a,t3))))
| or(cin,or(t1,xor(a,t3))) != or(cin,t1)
| not(or(cin,or(t1,xor(a,t3)))) = not(or(cin,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(cin,or(t1,xor(a,t3)))),not(or(cin,or(t1,xor(a,t3))))) ),[1,0],$fot(or(cin,t1))]]) ).
cnf(refute_0_2906,plain,
( or(cin,or(t1,xor(a,t3))) != or(cin,t1)
| not(or(cin,or(t1,xor(a,t3)))) = not(or(cin,t1)) ),
inference(resolve,[$cnf( $equal(not(or(cin,or(t1,xor(a,t3)))),not(or(cin,or(t1,xor(a,t3))))) )],[refute_0_2904,refute_0_2905]) ).
cnf(refute_0_2907,plain,
not(or(cin,or(t1,xor(a,t3)))) = not(or(cin,t1)),
inference(resolve,[$cnf( $equal(or(cin,or(t1,xor(a,t3))),or(cin,t1)) )],[refute_0_2903,refute_0_2906]) ).
cnf(refute_0_2908,plain,
not(or(X_26,or(X_37,X_38))) = not(or(or(X_37,X_38),X_26)),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(or(X_37,X_38)))]]) ).
cnf(refute_0_2909,plain,
or(or(X_37,X_38),X_26) = or(X_37,or(X_38,X_26)),
inference(subst,[],[or_associative:[bind(X,$fot(X_37)),bind(Y,$fot(X_38)),bind(Z,$fot(X_26))]]) ).
cnf(refute_0_2910,plain,
( not(or(X_26,or(X_37,X_38))) != not(or(or(X_37,X_38),X_26))
| or(or(X_37,X_38),X_26) != or(X_37,or(X_38,X_26))
| not(or(X_26,or(X_37,X_38))) = not(or(X_37,or(X_38,X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X_26,or(X_37,X_38))),not(or(or(X_37,X_38),X_26))) ),[1,0],$fot(or(X_37,or(X_38,X_26)))]]) ).
cnf(refute_0_2911,plain,
( not(or(X_26,or(X_37,X_38))) != not(or(or(X_37,X_38),X_26))
| not(or(X_26,or(X_37,X_38))) = not(or(X_37,or(X_38,X_26))) ),
inference(resolve,[$cnf( $equal(or(or(X_37,X_38),X_26),or(X_37,or(X_38,X_26))) )],[refute_0_2909,refute_0_2910]) ).
cnf(refute_0_2912,plain,
not(or(X_26,or(X_37,X_38))) = not(or(X_37,or(X_38,X_26))),
inference(resolve,[$cnf( $equal(not(or(X_26,or(X_37,X_38))),not(or(or(X_37,X_38),X_26))) )],[refute_0_2908,refute_0_2911]) ).
cnf(refute_0_2913,plain,
( not(or(X_26,or(X_37,X_38))) != not(or(X_37,or(X_38,X_26)))
| not(or(X_37,or(X_38,X_26))) = not(or(X_26,or(X_37,X_38))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X_26,or(X_37,X_38))))),bind(Y0,$fot(not(or(X_37,or(X_38,X_26)))))]]) ).
cnf(refute_0_2914,plain,
not(or(X_37,or(X_38,X_26))) = not(or(X_26,or(X_37,X_38))),
inference(resolve,[$cnf( $equal(not(or(X_26,or(X_37,X_38))),not(or(X_37,or(X_38,X_26)))) )],[refute_0_2912,refute_0_2913]) ).
cnf(refute_0_2915,plain,
not(or(t1,or(xor(a,t3),cin))) = not(or(cin,or(t1,xor(a,t3)))),
inference(subst,[],[refute_0_2914:[bind(X_26,$fot(cin)),bind(X_37,$fot(t1)),bind(X_38,$fot(xor(a,t3)))]]) ).
cnf(refute_0_2916,plain,
not(or(xor(a,t3),or(cin,t1))) = not(or(t1,or(xor(a,t3),cin))),
inference(subst,[],[refute_0_2914:[bind(X_26,$fot(t1)),bind(X_37,$fot(xor(a,t3))),bind(X_38,$fot(cin))]]) ).
cnf(refute_0_2917,plain,
( not(or(t1,or(xor(a,t3),cin))) != not(or(cin,or(t1,xor(a,t3))))
| not(or(xor(a,t3),or(cin,t1))) != not(or(t1,or(xor(a,t3),cin)))
| not(or(xor(a,t3),or(cin,t1))) = not(or(cin,or(t1,xor(a,t3)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(xor(a,t3),or(cin,t1))))),bind(Y0,$fot(not(or(t1,or(xor(a,t3),cin))))),bind(Z0,$fot(not(or(cin,or(t1,xor(a,t3))))))]]) ).
cnf(refute_0_2918,plain,
( not(or(t1,or(xor(a,t3),cin))) != not(or(cin,or(t1,xor(a,t3))))
| not(or(xor(a,t3),or(cin,t1))) = not(or(cin,or(t1,xor(a,t3)))) ),
inference(resolve,[$cnf( $equal(not(or(xor(a,t3),or(cin,t1))),not(or(t1,or(xor(a,t3),cin)))) )],[refute_0_2916,refute_0_2917]) ).
cnf(refute_0_2919,plain,
not(or(xor(a,t3),or(cin,t1))) = not(or(cin,or(t1,xor(a,t3)))),
inference(resolve,[$cnf( $equal(not(or(t1,or(xor(a,t3),cin))),not(or(cin,or(t1,xor(a,t3))))) )],[refute_0_2915,refute_0_2918]) ).
cnf(refute_0_2920,plain,
not(or(not(or(a,t4)),X_26)) = and(or(a,t4),not(X_26)),
inference(subst,[],[refute_0_159:[bind(X,$fot(or(a,t4)))]]) ).
cnf(refute_0_2921,plain,
and(not(t4),not(a)) = and(t2,and(t3,not(a))),
inference(subst,[],[refute_0_611:[bind(X_222,$fot(not(a)))]]) ).
cnf(refute_0_2922,plain,
( and(not(t4),not(a)) != and(t2,and(t3,not(a)))
| and(t3,not(a)) != xor(a,t3)
| and(not(t4),not(a)) = and(t2,xor(a,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),not(a)),and(t2,and(t3,not(a)))) ),[1,1],$fot(xor(a,t3))]]) ).
cnf(refute_0_2923,plain,
( and(not(t4),not(a)) != and(t2,and(t3,not(a)))
| and(not(t4),not(a)) = and(t2,xor(a,t3)) ),
inference(resolve,[$cnf( $equal(and(t3,not(a)),xor(a,t3)) )],[refute_0_1791,refute_0_2922]) ).
cnf(refute_0_2924,plain,
and(not(t4),not(a)) = and(t2,xor(a,t3)),
inference(resolve,[$cnf( $equal(and(not(t4),not(a)),and(t2,and(t3,not(a)))) )],[refute_0_2921,refute_0_2923]) ).
cnf(refute_0_2925,plain,
not(or(t4,a)) = not(or(a,t4)),
inference(subst,[],[refute_0_562:[bind(X_25,$fot(t4)),bind(X_26,$fot(a))]]) ).
cnf(refute_0_2926,plain,
and(not(t4),not(a)) = not(or(t4,a)),
inference(subst,[],[refute_0_101:[bind(X,$fot(t4)),bind(Y,$fot(a))]]) ).
cnf(refute_0_2927,plain,
( and(not(t4),not(a)) != not(or(t4,a))
| not(or(t4,a)) != not(or(a,t4))
| and(not(t4),not(a)) = not(or(a,t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t4),not(a)))),bind(Y0,$fot(not(or(t4,a)))),bind(Z0,$fot(not(or(a,t4))))]]) ).
cnf(refute_0_2928,plain,
( not(or(t4,a)) != not(or(a,t4))
| and(not(t4),not(a)) = not(or(a,t4)) ),
inference(resolve,[$cnf( $equal(and(not(t4),not(a)),not(or(t4,a))) )],[refute_0_2926,refute_0_2927]) ).
cnf(refute_0_2929,plain,
and(not(t4),not(a)) = not(or(a,t4)),
inference(resolve,[$cnf( $equal(not(or(t4,a)),not(or(a,t4))) )],[refute_0_2925,refute_0_2928]) ).
cnf(refute_0_2930,plain,
( and(not(t4),not(a)) != and(t2,xor(a,t3))
| and(not(t4),not(a)) != not(or(a,t4))
| not(or(a,t4)) = and(t2,xor(a,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),not(a)),and(t2,xor(a,t3))) ),[0],$fot(not(or(a,t4)))]]) ).
cnf(refute_0_2931,plain,
( and(not(t4),not(a)) != and(t2,xor(a,t3))
| not(or(a,t4)) = and(t2,xor(a,t3)) ),
inference(resolve,[$cnf( $equal(and(not(t4),not(a)),not(or(a,t4))) )],[refute_0_2929,refute_0_2930]) ).
cnf(refute_0_2932,plain,
and(xor(a,t3),or(t2,xor(a,t3))) = xor(a,t3),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(xor(a,t3))),bind(X_20,$fot(t2))]]) ).
cnf(refute_0_2933,plain,
or(or(t2,not(a)),X_39) = or(t2,or(not(a),X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(t2)),bind(Y,$fot(not(a))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_2934,plain,
or(t2,and(t2,not(a))) = t2,
inference(subst,[],[or_absorption:[bind(X,$fot(t2)),bind(Y,$fot(not(a)))]]) ).
cnf(refute_0_2935,plain,
( and(t2,not(a)) != not(a)
| or(t2,and(t2,not(a))) != t2
| or(t2,not(a)) = t2 ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,and(t2,not(a))),t2) ),[0,1],$fot(not(a))]]) ).
cnf(refute_0_2936,plain,
( or(t2,and(t2,not(a))) != t2
| or(t2,not(a)) = t2 ),
inference(resolve,[$cnf( $equal(and(t2,not(a)),not(a)) )],[refute_0_296,refute_0_2935]) ).
cnf(refute_0_2937,plain,
or(t2,not(a)) = t2,
inference(resolve,[$cnf( $equal(or(t2,and(t2,not(a))),t2) )],[refute_0_2934,refute_0_2936]) ).
cnf(refute_0_2938,plain,
( or(or(t2,not(a)),X_39) != or(t2,or(not(a),X_39))
| or(t2,not(a)) != t2
| or(t2,X_39) = or(t2,or(not(a),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t2,not(a)),X_39),or(t2,or(not(a),X_39))) ),[0,0],$fot(t2)]]) ).
cnf(refute_0_2939,plain,
( or(or(t2,not(a)),X_39) != or(t2,or(not(a),X_39))
| or(t2,X_39) = or(t2,or(not(a),X_39)) ),
inference(resolve,[$cnf( $equal(or(t2,not(a)),t2) )],[refute_0_2937,refute_0_2938]) ).
cnf(refute_0_2940,plain,
or(t2,X_39) = or(t2,or(not(a),X_39)),
inference(resolve,[$cnf( $equal(or(or(t2,not(a)),X_39),or(t2,or(not(a),X_39))) )],[refute_0_2933,refute_0_2939]) ).
cnf(refute_0_2941,plain,
or(t2,xor(a,t3)) = or(t2,or(not(a),xor(a,t3))),
inference(subst,[],[refute_0_2940:[bind(X_39,$fot(xor(a,t3)))]]) ).
cnf(refute_0_2942,plain,
( or(not(a),xor(a,t3)) != not(a)
| or(t2,xor(a,t3)) != or(t2,or(not(a),xor(a,t3)))
| or(t2,xor(a,t3)) = or(t2,not(a)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,xor(a,t3)),or(t2,or(not(a),xor(a,t3)))) ),[1,1],$fot(not(a))]]) ).
cnf(refute_0_2943,plain,
( or(t2,xor(a,t3)) != or(t2,or(not(a),xor(a,t3)))
| or(t2,xor(a,t3)) = or(t2,not(a)) ),
inference(resolve,[$cnf( $equal(or(not(a),xor(a,t3)),not(a)) )],[refute_0_1794,refute_0_2942]) ).
cnf(refute_0_2944,plain,
or(t2,xor(a,t3)) = or(t2,not(a)),
inference(resolve,[$cnf( $equal(or(t2,xor(a,t3)),or(t2,or(not(a),xor(a,t3)))) )],[refute_0_2941,refute_0_2943]) ).
cnf(refute_0_2945,plain,
( or(t2,not(a)) != t2
| or(t2,xor(a,t3)) != or(t2,not(a))
| or(t2,xor(a,t3)) = t2 ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,xor(a,t3)),or(t2,not(a))) ),[1],$fot(t2)]]) ).
cnf(refute_0_2946,plain,
( or(t2,xor(a,t3)) != or(t2,not(a))
| or(t2,xor(a,t3)) = t2 ),
inference(resolve,[$cnf( $equal(or(t2,not(a)),t2) )],[refute_0_2937,refute_0_2945]) ).
cnf(refute_0_2947,plain,
or(t2,xor(a,t3)) = t2,
inference(resolve,[$cnf( $equal(or(t2,xor(a,t3)),or(t2,not(a))) )],[refute_0_2944,refute_0_2946]) ).
cnf(refute_0_2948,plain,
( and(xor(a,t3),or(t2,xor(a,t3))) != xor(a,t3)
| or(t2,xor(a,t3)) != t2
| and(xor(a,t3),t2) = xor(a,t3) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(a,t3),or(t2,xor(a,t3))),xor(a,t3)) ),[0,1],$fot(t2)]]) ).
cnf(refute_0_2949,plain,
( and(xor(a,t3),or(t2,xor(a,t3))) != xor(a,t3)
| and(xor(a,t3),t2) = xor(a,t3) ),
inference(resolve,[$cnf( $equal(or(t2,xor(a,t3)),t2) )],[refute_0_2947,refute_0_2948]) ).
cnf(refute_0_2950,plain,
and(xor(a,t3),t2) = xor(a,t3),
inference(resolve,[$cnf( $equal(and(xor(a,t3),or(t2,xor(a,t3))),xor(a,t3)) )],[refute_0_2932,refute_0_2949]) ).
cnf(refute_0_2951,plain,
and(xor(a,t3),t2) = and(t2,xor(a,t3)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t2)),bind(Y,$fot(xor(a,t3)))]]) ).
cnf(refute_0_2952,plain,
( and(xor(a,t3),t2) != and(t2,xor(a,t3))
| and(xor(a,t3),t2) != xor(a,t3)
| and(t2,xor(a,t3)) = xor(a,t3) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(a,t3),t2),xor(a,t3)) ),[0],$fot(and(t2,xor(a,t3)))]]) ).
cnf(refute_0_2953,plain,
( and(xor(a,t3),t2) != xor(a,t3)
| and(t2,xor(a,t3)) = xor(a,t3) ),
inference(resolve,[$cnf( $equal(and(xor(a,t3),t2),and(t2,xor(a,t3))) )],[refute_0_2951,refute_0_2952]) ).
cnf(refute_0_2954,plain,
and(t2,xor(a,t3)) = xor(a,t3),
inference(resolve,[$cnf( $equal(and(xor(a,t3),t2),xor(a,t3)) )],[refute_0_2950,refute_0_2953]) ).
cnf(refute_0_2955,plain,
( and(t2,xor(a,t3)) != xor(a,t3)
| not(or(a,t4)) != and(t2,xor(a,t3))
| not(or(a,t4)) = xor(a,t3) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(a,t4)),and(t2,xor(a,t3))) ),[1],$fot(xor(a,t3))]]) ).
cnf(refute_0_2956,plain,
( not(or(a,t4)) != and(t2,xor(a,t3))
| not(or(a,t4)) = xor(a,t3) ),
inference(resolve,[$cnf( $equal(and(t2,xor(a,t3)),xor(a,t3)) )],[refute_0_2954,refute_0_2955]) ).
cnf(refute_0_2957,plain,
( and(not(t4),not(a)) != and(t2,xor(a,t3))
| not(or(a,t4)) = xor(a,t3) ),
inference(resolve,[$cnf( $equal(not(or(a,t4)),and(t2,xor(a,t3))) )],[refute_0_2931,refute_0_2956]) ).
cnf(refute_0_2958,plain,
not(or(a,t4)) = xor(a,t3),
inference(resolve,[$cnf( $equal(and(not(t4),not(a)),and(t2,xor(a,t3))) )],[refute_0_2924,refute_0_2957]) ).
cnf(refute_0_2959,plain,
( not(or(a,t4)) != xor(a,t3)
| not(or(not(or(a,t4)),X_26)) != and(or(a,t4),not(X_26))
| not(or(xor(a,t3),X_26)) = and(or(a,t4),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(or(a,t4)),X_26)),and(or(a,t4),not(X_26))) ),[0,0,0],$fot(xor(a,t3))]]) ).
cnf(refute_0_2960,plain,
( not(or(not(or(a,t4)),X_26)) != and(or(a,t4),not(X_26))
| not(or(xor(a,t3),X_26)) = and(or(a,t4),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(or(a,t4)),xor(a,t3)) )],[refute_0_2958,refute_0_2959]) ).
cnf(refute_0_2961,plain,
not(or(xor(a,t3),X_26)) = and(or(a,t4),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(not(or(a,t4)),X_26)),and(or(a,t4),not(X_26))) )],[refute_0_2920,refute_0_2960]) ).
cnf(refute_0_2962,plain,
or(or(a,not(t1)),X_39) = or(a,or(not(t1),X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(a)),bind(Y,$fot(not(t1))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_2963,plain,
( or(a,not(t1)) != a
| or(or(a,not(t1)),X_39) != or(a,or(not(t1),X_39))
| or(a,X_39) = or(a,or(not(t1),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(a,not(t1)),X_39),or(a,or(not(t1),X_39))) ),[0,0],$fot(a)]]) ).
cnf(refute_0_2964,plain,
( or(or(a,not(t1)),X_39) != or(a,or(not(t1),X_39))
| or(a,X_39) = or(a,or(not(t1),X_39)) ),
inference(resolve,[$cnf( $equal(or(a,not(t1)),a) )],[refute_0_321,refute_0_2963]) ).
cnf(refute_0_2965,plain,
or(a,X_39) = or(a,or(not(t1),X_39)),
inference(resolve,[$cnf( $equal(or(or(a,not(t1)),X_39),or(a,or(not(t1),X_39))) )],[refute_0_2962,refute_0_2964]) ).
cnf(refute_0_2966,plain,
or(a,not(Y)) = or(a,or(not(t1),not(Y))),
inference(subst,[],[refute_0_2965:[bind(X_39,$fot(not(Y)))]]) ).
cnf(refute_0_2967,plain,
not(and(t1,Y)) = or(not(t1),not(Y)),
inference(subst,[],[and_demorgan:[bind(X,$fot(t1))]]) ).
cnf(refute_0_2968,plain,
( not(and(t1,Y)) != or(not(t1),not(Y))
| or(not(t1),not(Y)) = not(and(t1,Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(t1,Y)))),bind(Y0,$fot(or(not(t1),not(Y))))]]) ).
cnf(refute_0_2969,plain,
or(not(t1),not(Y)) = not(and(t1,Y)),
inference(resolve,[$cnf( $equal(not(and(t1,Y)),or(not(t1),not(Y))) )],[refute_0_2967,refute_0_2968]) ).
cnf(refute_0_2970,plain,
( or(a,not(Y)) != or(a,or(not(t1),not(Y)))
| or(not(t1),not(Y)) != not(and(t1,Y))
| or(a,not(Y)) = or(a,not(and(t1,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(or(a,not(Y)),or(a,or(not(t1),not(Y)))) ),[1,1],$fot(not(and(t1,Y)))]]) ).
cnf(refute_0_2971,plain,
( or(a,not(Y)) != or(a,or(not(t1),not(Y)))
| or(a,not(Y)) = or(a,not(and(t1,Y))) ),
inference(resolve,[$cnf( $equal(or(not(t1),not(Y)),not(and(t1,Y))) )],[refute_0_2969,refute_0_2970]) ).
cnf(refute_0_2972,plain,
or(a,not(Y)) = or(a,not(and(t1,Y))),
inference(resolve,[$cnf( $equal(or(a,not(Y)),or(a,or(not(t1),not(Y)))) )],[refute_0_2966,refute_0_2971]) ).
cnf(refute_0_2973,plain,
or(a,not(t3)) = or(a,not(and(t1,t3))),
inference(subst,[],[refute_0_2972:[bind(Y,$fot(t3))]]) ).
cnf(refute_0_2974,plain,
xor(b,xor(t1,xor(t3,and(t1,t3)))) = xor(t3,xor(t3,and(t1,t3))),
inference(subst,[],[refute_0_1233:[bind(X_335,$fot(xor(t3,and(t1,t3))))]]) ).
cnf(refute_0_2975,plain,
ll1 = xor(xor(t1,t3),not(xor(t1,t3))),
inference(subst,[],[refute_0_473:[bind(X_64,$fot(xor(t1,t3)))]]) ).
cnf(refute_0_2976,plain,
not(not(and(t1,t3))) = and(t1,t3),
inference(subst,[],[not_involution:[bind(X,$fot(and(t1,t3)))]]) ).
cnf(refute_0_2977,plain,
or(and(t1,not(t3)),and(not(t1),t3)) = xor(t1,t3),
inference(subst,[],[refute_0_9:[bind(X,$fot(t1)),bind(Y,$fot(t3))]]) ).
cnf(refute_0_2978,plain,
and(not(t3),or(t1,not(t3))) = not(t3),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(not(t3))),bind(X_20,$fot(t1))]]) ).
cnf(refute_0_2979,plain,
( and(not(t3),or(t1,not(t3))) != not(t3)
| or(t1,not(t3)) != t1
| and(not(t3),t1) = not(t3) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t3),or(t1,not(t3))),not(t3)) ),[0,1],$fot(t1)]]) ).
cnf(refute_0_2980,plain,
( and(not(t3),or(t1,not(t3))) != not(t3)
| and(not(t3),t1) = not(t3) ),
inference(resolve,[$cnf( $equal(or(t1,not(t3)),t1) )],[refute_0_1273,refute_0_2979]) ).
cnf(refute_0_2981,plain,
and(not(t3),t1) = not(t3),
inference(resolve,[$cnf( $equal(and(not(t3),or(t1,not(t3))),not(t3)) )],[refute_0_2978,refute_0_2980]) ).
cnf(refute_0_2982,plain,
and(not(t3),t1) = and(t1,not(t3)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t1)),bind(Y,$fot(not(t3)))]]) ).
cnf(refute_0_2983,plain,
( and(not(t3),t1) != and(t1,not(t3))
| and(not(t3),t1) != not(t3)
| and(t1,not(t3)) = not(t3) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t3),t1),not(t3)) ),[0],$fot(and(t1,not(t3)))]]) ).
cnf(refute_0_2984,plain,
( and(not(t3),t1) != not(t3)
| and(t1,not(t3)) = not(t3) ),
inference(resolve,[$cnf( $equal(and(not(t3),t1),and(t1,not(t3))) )],[refute_0_2982,refute_0_2983]) ).
cnf(refute_0_2985,plain,
and(t1,not(t3)) = not(t3),
inference(resolve,[$cnf( $equal(and(not(t3),t1),not(t3)) )],[refute_0_2981,refute_0_2984]) ).
cnf(refute_0_2986,plain,
( and(t1,not(t3)) != not(t3)
| or(and(t1,not(t3)),and(not(t1),t3)) != xor(t1,t3)
| or(not(t3),and(not(t1),t3)) = xor(t1,t3) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t1,not(t3)),and(not(t1),t3)),xor(t1,t3)) ),[0,0],$fot(not(t3))]]) ).
cnf(refute_0_2987,plain,
( or(and(t1,not(t3)),and(not(t1),t3)) != xor(t1,t3)
| or(not(t3),and(not(t1),t3)) = xor(t1,t3) ),
inference(resolve,[$cnf( $equal(and(t1,not(t3)),not(t3)) )],[refute_0_2985,refute_0_2986]) ).
cnf(refute_0_2988,plain,
or(not(t3),and(not(t1),t3)) = xor(t1,t3),
inference(resolve,[$cnf( $equal(or(and(t1,not(t3)),and(not(t1),t3)),xor(t1,t3)) )],[refute_0_2977,refute_0_2987]) ).
cnf(refute_0_2989,plain,
not(and(t3,t1)) = not(and(t1,t3)),
inference(subst,[],[refute_0_333:[bind(X_31,$fot(t3)),bind(X_32,$fot(t1))]]) ).
cnf(refute_0_2990,plain,
or(not(t3),not(t1)) = not(and(t3,t1)),
inference(subst,[],[refute_0_147:[bind(X,$fot(t3)),bind(Y,$fot(t1))]]) ).
cnf(refute_0_2991,plain,
( not(and(t3,t1)) != not(and(t1,t3))
| or(not(t3),not(t1)) != not(and(t3,t1))
| or(not(t3),not(t1)) = not(and(t1,t3)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t3),not(t1)))),bind(Y0,$fot(not(and(t3,t1)))),bind(Z0,$fot(not(and(t1,t3))))]]) ).
cnf(refute_0_2992,plain,
( not(and(t3,t1)) != not(and(t1,t3))
| or(not(t3),not(t1)) = not(and(t1,t3)) ),
inference(resolve,[$cnf( $equal(or(not(t3),not(t1)),not(and(t3,t1))) )],[refute_0_2990,refute_0_2991]) ).
cnf(refute_0_2993,plain,
or(not(t3),not(t1)) = not(and(t1,t3)),
inference(resolve,[$cnf( $equal(not(and(t3,t1)),not(and(t1,t3))) )],[refute_0_2989,refute_0_2992]) ).
cnf(refute_0_2994,plain,
and(not(t1),t3) = and(t3,not(t1)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t3)),bind(Y,$fot(not(t1)))]]) ).
cnf(refute_0_2995,plain,
( and(not(t1),t3) != and(t3,not(t1))
| and(t3,not(t1)) != not(t1)
| and(not(t1),t3) = not(t1) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t1),t3))),bind(Y0,$fot(and(t3,not(t1)))),bind(Z0,$fot(not(t1)))]]) ).
cnf(refute_0_2996,plain,
( and(t3,not(t1)) != not(t1)
| and(not(t1),t3) = not(t1) ),
inference(resolve,[$cnf( $equal(and(not(t1),t3),and(t3,not(t1))) )],[refute_0_2994,refute_0_2995]) ).
cnf(refute_0_2997,plain,
and(not(t1),t3) = not(t1),
inference(resolve,[$cnf( $equal(and(t3,not(t1)),not(t1)) )],[refute_0_1280,refute_0_2996]) ).
cnf(refute_0_2998,plain,
or(not(t3),and(not(t1),t3)) = or(not(t3),and(not(t1),t3)),
introduced(tautology,[refl,[$fot(or(not(t3),and(not(t1),t3)))]]) ).
cnf(refute_0_2999,plain,
( and(not(t1),t3) != not(t1)
| or(not(t3),and(not(t1),t3)) != or(not(t3),and(not(t1),t3))
| or(not(t3),and(not(t1),t3)) = or(not(t3),not(t1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t3),and(not(t1),t3)),or(not(t3),and(not(t1),t3))) ),[1,1],$fot(not(t1))]]) ).
cnf(refute_0_3000,plain,
( and(not(t1),t3) != not(t1)
| or(not(t3),and(not(t1),t3)) = or(not(t3),not(t1)) ),
inference(resolve,[$cnf( $equal(or(not(t3),and(not(t1),t3)),or(not(t3),and(not(t1),t3))) )],[refute_0_2998,refute_0_2999]) ).
cnf(refute_0_3001,plain,
or(not(t3),and(not(t1),t3)) = or(not(t3),not(t1)),
inference(resolve,[$cnf( $equal(and(not(t1),t3),not(t1)) )],[refute_0_2997,refute_0_3000]) ).
cnf(refute_0_3002,plain,
( or(not(t3),and(not(t1),t3)) != or(not(t3),not(t1))
| or(not(t3),not(t1)) != not(and(t1,t3))
| or(not(t3),and(not(t1),t3)) = not(and(t1,t3)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t3),and(not(t1),t3)))),bind(Y0,$fot(or(not(t3),not(t1)))),bind(Z0,$fot(not(and(t1,t3))))]]) ).
cnf(refute_0_3003,plain,
( or(not(t3),not(t1)) != not(and(t1,t3))
| or(not(t3),and(not(t1),t3)) = not(and(t1,t3)) ),
inference(resolve,[$cnf( $equal(or(not(t3),and(not(t1),t3)),or(not(t3),not(t1))) )],[refute_0_3001,refute_0_3002]) ).
cnf(refute_0_3004,plain,
or(not(t3),and(not(t1),t3)) = not(and(t1,t3)),
inference(resolve,[$cnf( $equal(or(not(t3),not(t1)),not(and(t1,t3))) )],[refute_0_2993,refute_0_3003]) ).
cnf(refute_0_3005,plain,
( or(not(t3),and(not(t1),t3)) != not(and(t1,t3))
| or(not(t3),and(not(t1),t3)) != xor(t1,t3)
| not(and(t1,t3)) = xor(t1,t3) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t3),and(not(t1),t3)),xor(t1,t3)) ),[0],$fot(not(and(t1,t3)))]]) ).
cnf(refute_0_3006,plain,
( or(not(t3),and(not(t1),t3)) != xor(t1,t3)
| not(and(t1,t3)) = xor(t1,t3) ),
inference(resolve,[$cnf( $equal(or(not(t3),and(not(t1),t3)),not(and(t1,t3))) )],[refute_0_3004,refute_0_3005]) ).
cnf(refute_0_3007,plain,
not(and(t1,t3)) = xor(t1,t3),
inference(resolve,[$cnf( $equal(or(not(t3),and(not(t1),t3)),xor(t1,t3)) )],[refute_0_2988,refute_0_3006]) ).
cnf(refute_0_3008,plain,
( not(and(t1,t3)) != xor(t1,t3)
| not(not(and(t1,t3))) != and(t1,t3)
| not(xor(t1,t3)) = and(t1,t3) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(t1,t3))),and(t1,t3)) ),[0,0],$fot(xor(t1,t3))]]) ).
cnf(refute_0_3009,plain,
( not(not(and(t1,t3))) != and(t1,t3)
| not(xor(t1,t3)) = and(t1,t3) ),
inference(resolve,[$cnf( $equal(not(and(t1,t3)),xor(t1,t3)) )],[refute_0_3007,refute_0_3008]) ).
cnf(refute_0_3010,plain,
not(xor(t1,t3)) = and(t1,t3),
inference(resolve,[$cnf( $equal(not(not(and(t1,t3))),and(t1,t3)) )],[refute_0_2976,refute_0_3009]) ).
cnf(refute_0_3011,plain,
( ll1 != xor(xor(t1,t3),not(xor(t1,t3)))
| not(xor(t1,t3)) != and(t1,t3)
| ll1 = xor(xor(t1,t3),and(t1,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,xor(xor(t1,t3),not(xor(t1,t3)))) ),[1,1],$fot(and(t1,t3))]]) ).
cnf(refute_0_3012,plain,
( ll1 != xor(xor(t1,t3),not(xor(t1,t3)))
| ll1 = xor(xor(t1,t3),and(t1,t3)) ),
inference(resolve,[$cnf( $equal(not(xor(t1,t3)),and(t1,t3)) )],[refute_0_3010,refute_0_3011]) ).
cnf(refute_0_3013,plain,
ll1 = xor(xor(t1,t3),and(t1,t3)),
inference(resolve,[$cnf( $equal(ll1,xor(xor(t1,t3),not(xor(t1,t3)))) )],[refute_0_2975,refute_0_3012]) ).
cnf(refute_0_3014,plain,
xor(xor(t1,t3),and(t1,t3)) = xor(t1,xor(t3,and(t1,t3))),
inference(subst,[],[refute_0_526:[bind(X,$fot(t1)),bind(Y,$fot(t3)),bind(Z,$fot(and(t1,t3)))]]) ).
cnf(refute_0_3015,plain,
( ll1 != xor(xor(t1,t3),and(t1,t3))
| xor(xor(t1,t3),and(t1,t3)) != xor(t1,xor(t3,and(t1,t3)))
| ll1 = xor(t1,xor(t3,and(t1,t3))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll1,xor(t1,xor(t3,and(t1,t3)))) ),[0],$fot(xor(xor(t1,t3),and(t1,t3)))]]) ).
cnf(refute_0_3016,plain,
( ll1 != xor(xor(t1,t3),and(t1,t3))
| ll1 = xor(t1,xor(t3,and(t1,t3))) ),
inference(resolve,[$cnf( $equal(xor(xor(t1,t3),and(t1,t3)),xor(t1,xor(t3,and(t1,t3)))) )],[refute_0_3014,refute_0_3015]) ).
cnf(refute_0_3017,plain,
ll1 = xor(t1,xor(t3,and(t1,t3))),
inference(resolve,[$cnf( $equal(ll1,xor(xor(t1,t3),and(t1,t3))) )],[refute_0_3013,refute_0_3016]) ).
cnf(refute_0_3018,plain,
( ll1 != xor(t1,xor(t3,and(t1,t3)))
| xor(t1,xor(t3,and(t1,t3))) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(xor(t1,xor(t3,and(t1,t3)))))]]) ).
cnf(refute_0_3019,plain,
xor(t1,xor(t3,and(t1,t3))) = ll1,
inference(resolve,[$cnf( $equal(ll1,xor(t1,xor(t3,and(t1,t3)))) )],[refute_0_3017,refute_0_3018]) ).
cnf(refute_0_3020,plain,
( xor(b,xor(t1,xor(t3,and(t1,t3)))) != xor(t3,xor(t3,and(t1,t3)))
| xor(t1,xor(t3,and(t1,t3))) != ll1
| xor(b,ll1) = xor(t3,xor(t3,and(t1,t3))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,xor(t1,xor(t3,and(t1,t3)))),xor(t3,xor(t3,and(t1,t3)))) ),[0,1],$fot(ll1)]]) ).
cnf(refute_0_3021,plain,
( xor(b,xor(t1,xor(t3,and(t1,t3)))) != xor(t3,xor(t3,and(t1,t3)))
| xor(b,ll1) = xor(t3,xor(t3,and(t1,t3))) ),
inference(resolve,[$cnf( $equal(xor(t1,xor(t3,and(t1,t3))),ll1) )],[refute_0_3019,refute_0_3020]) ).
cnf(refute_0_3022,plain,
xor(b,ll1) = xor(t3,xor(t3,and(t1,t3))),
inference(resolve,[$cnf( $equal(xor(b,xor(t1,xor(t3,and(t1,t3)))),xor(t3,xor(t3,and(t1,t3)))) )],[refute_0_2974,refute_0_3021]) ).
cnf(refute_0_3023,plain,
xor(b,ll1) = not(b),
inference(subst,[],[refute_0_587:[bind(X_63,$fot(b))]]) ).
cnf(refute_0_3024,plain,
( xor(b,ll1) != not(b)
| xor(b,ll1) != xor(t3,xor(t3,and(t1,t3)))
| not(b) = xor(t3,xor(t3,and(t1,t3))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,ll1),xor(t3,xor(t3,and(t1,t3)))) ),[0],$fot(not(b))]]) ).
cnf(refute_0_3025,plain,
( xor(b,ll1) != xor(t3,xor(t3,and(t1,t3)))
| not(b) = xor(t3,xor(t3,and(t1,t3))) ),
inference(resolve,[$cnf( $equal(xor(b,ll1),not(b)) )],[refute_0_3023,refute_0_3024]) ).
cnf(refute_0_3026,plain,
xor(t3,xor(t3,and(t1,t3))) = and(t1,t3),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(t3)),bind(X_335,$fot(and(t1,t3)))]]) ).
cnf(refute_0_3027,plain,
( not(b) != xor(t3,xor(t3,and(t1,t3)))
| xor(t3,xor(t3,and(t1,t3))) != and(t1,t3)
| not(b) = and(t1,t3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(b),and(t1,t3)) ),[0],$fot(xor(t3,xor(t3,and(t1,t3))))]]) ).
cnf(refute_0_3028,plain,
( not(b) != xor(t3,xor(t3,and(t1,t3)))
| not(b) = and(t1,t3) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(t3,and(t1,t3))),and(t1,t3)) )],[refute_0_3026,refute_0_3027]) ).
cnf(refute_0_3029,plain,
( xor(b,ll1) != xor(t3,xor(t3,and(t1,t3)))
| not(b) = and(t1,t3) ),
inference(resolve,[$cnf( $equal(not(b),xor(t3,xor(t3,and(t1,t3)))) )],[refute_0_3025,refute_0_3028]) ).
cnf(refute_0_3030,plain,
not(b) = and(t1,t3),
inference(resolve,[$cnf( $equal(xor(b,ll1),xor(t3,xor(t3,and(t1,t3)))) )],[refute_0_3022,refute_0_3029]) ).
cnf(refute_0_3031,plain,
( not(b) != and(t1,t3)
| and(t1,t3) = not(b) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(b))),bind(Y0,$fot(and(t1,t3)))]]) ).
cnf(refute_0_3032,plain,
and(t1,t3) = not(b),
inference(resolve,[$cnf( $equal(not(b),and(t1,t3)) )],[refute_0_3030,refute_0_3031]) ).
cnf(refute_0_3033,plain,
( and(t1,t3) != not(b)
| or(a,not(t3)) != or(a,not(and(t1,t3)))
| or(a,not(t3)) = or(a,not(not(b))) ),
introduced(tautology,[equality,[$cnf( $equal(or(a,not(t3)),or(a,not(and(t1,t3)))) ),[1,1,0],$fot(not(b))]]) ).
cnf(refute_0_3034,plain,
( or(a,not(t3)) != or(a,not(and(t1,t3)))
| or(a,not(t3)) = or(a,not(not(b))) ),
inference(resolve,[$cnf( $equal(and(t1,t3),not(b)) )],[refute_0_3032,refute_0_3033]) ).
cnf(refute_0_3035,plain,
or(a,not(t3)) = or(a,not(not(b))),
inference(resolve,[$cnf( $equal(or(a,not(t3)),or(a,not(and(t1,t3)))) )],[refute_0_2973,refute_0_3034]) ).
cnf(refute_0_3036,plain,
not(and(t3,not(a))) = or(not(t3),not(not(a))),
inference(subst,[],[and_demorgan:[bind(X,$fot(t3)),bind(Y,$fot(not(a)))]]) ).
cnf(refute_0_3037,plain,
( and(t3,not(a)) != xor(a,t3)
| not(and(t3,not(a))) != or(not(t3),not(not(a)))
| not(xor(a,t3)) = or(not(t3),not(not(a))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(t3,not(a))),or(not(t3),not(not(a)))) ),[0,0],$fot(xor(a,t3))]]) ).
cnf(refute_0_3038,plain,
( not(and(t3,not(a))) != or(not(t3),not(not(a)))
| not(xor(a,t3)) = or(not(t3),not(not(a))) ),
inference(resolve,[$cnf( $equal(and(t3,not(a)),xor(a,t3)) )],[refute_0_1791,refute_0_3037]) ).
cnf(refute_0_3039,plain,
not(xor(a,t3)) = or(not(t3),not(not(a))),
inference(resolve,[$cnf( $equal(not(and(t3,not(a))),or(not(t3),not(not(a)))) )],[refute_0_3036,refute_0_3038]) ).
cnf(refute_0_3040,plain,
or(not(t3),a) = or(a,not(t3)),
inference(subst,[],[refute_0_5:[bind(X,$fot(a)),bind(Y,$fot(not(t3)))]]) ).
cnf(refute_0_3041,plain,
not(and(t3,not(a))) = or(not(t3),a),
inference(subst,[],[refute_0_435:[bind(X_29,$fot(t3)),bind(X_30,$fot(a))]]) ).
cnf(refute_0_3042,plain,
( not(and(t3,not(a))) != or(not(t3),a)
| or(not(t3),a) != or(a,not(t3))
| not(and(t3,not(a))) = or(a,not(t3)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(t3,not(a))))),bind(Y0,$fot(or(not(t3),a))),bind(Z0,$fot(or(a,not(t3))))]]) ).
cnf(refute_0_3043,plain,
( or(not(t3),a) != or(a,not(t3))
| not(and(t3,not(a))) = or(a,not(t3)) ),
inference(resolve,[$cnf( $equal(not(and(t3,not(a))),or(not(t3),a)) )],[refute_0_3041,refute_0_3042]) ).
cnf(refute_0_3044,plain,
not(and(t3,not(a))) = or(a,not(t3)),
inference(resolve,[$cnf( $equal(or(not(t3),a),or(a,not(t3))) )],[refute_0_3040,refute_0_3043]) ).
cnf(refute_0_3045,plain,
or(not(t3),not(not(a))) = not(and(t3,not(a))),
inference(subst,[],[refute_0_147:[bind(X,$fot(t3)),bind(Y,$fot(not(a)))]]) ).
cnf(refute_0_3046,plain,
( not(and(t3,not(a))) != or(a,not(t3))
| or(not(t3),not(not(a))) != not(and(t3,not(a)))
| or(not(t3),not(not(a))) = or(a,not(t3)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t3),not(not(a))))),bind(Y0,$fot(not(and(t3,not(a))))),bind(Z0,$fot(or(a,not(t3))))]]) ).
cnf(refute_0_3047,plain,
( not(and(t3,not(a))) != or(a,not(t3))
| or(not(t3),not(not(a))) = or(a,not(t3)) ),
inference(resolve,[$cnf( $equal(or(not(t3),not(not(a))),not(and(t3,not(a)))) )],[refute_0_3045,refute_0_3046]) ).
cnf(refute_0_3048,plain,
or(not(t3),not(not(a))) = or(a,not(t3)),
inference(resolve,[$cnf( $equal(not(and(t3,not(a))),or(a,not(t3))) )],[refute_0_3044,refute_0_3047]) ).
cnf(refute_0_3049,plain,
( not(xor(a,t3)) != or(not(t3),not(not(a)))
| or(not(t3),not(not(a))) != or(a,not(t3))
| not(xor(a,t3)) = or(a,not(t3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(a,t3)),or(a,not(t3))) ),[0],$fot(or(not(t3),not(not(a))))]]) ).
cnf(refute_0_3050,plain,
( not(xor(a,t3)) != or(not(t3),not(not(a)))
| not(xor(a,t3)) = or(a,not(t3)) ),
inference(resolve,[$cnf( $equal(or(not(t3),not(not(a))),or(a,not(t3))) )],[refute_0_3048,refute_0_3049]) ).
cnf(refute_0_3051,plain,
not(xor(a,t3)) = or(a,not(t3)),
inference(resolve,[$cnf( $equal(not(xor(a,t3)),or(not(t3),not(not(a)))) )],[refute_0_3039,refute_0_3050]) ).
cnf(refute_0_3052,plain,
not(not(or(a,t4))) = or(a,t4),
inference(subst,[],[not_involution:[bind(X,$fot(or(a,t4)))]]) ).
cnf(refute_0_3053,plain,
( not(not(or(a,t4))) != or(a,t4)
| not(or(a,t4)) != xor(a,t3)
| not(xor(a,t3)) = or(a,t4) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(or(a,t4))),or(a,t4)) ),[0,0],$fot(xor(a,t3))]]) ).
cnf(refute_0_3054,plain,
( not(not(or(a,t4))) != or(a,t4)
| not(xor(a,t3)) = or(a,t4) ),
inference(resolve,[$cnf( $equal(not(or(a,t4)),xor(a,t3)) )],[refute_0_2958,refute_0_3053]) ).
cnf(refute_0_3055,plain,
not(xor(a,t3)) = or(a,t4),
inference(resolve,[$cnf( $equal(not(not(or(a,t4))),or(a,t4)) )],[refute_0_3052,refute_0_3054]) ).
cnf(refute_0_3056,plain,
( not(xor(a,t3)) != or(a,not(t3))
| not(xor(a,t3)) != or(a,t4)
| or(a,t4) = or(a,not(t3)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(a,t3)),or(a,not(t3))) ),[0],$fot(or(a,t4))]]) ).
cnf(refute_0_3057,plain,
( not(xor(a,t3)) != or(a,not(t3))
| or(a,t4) = or(a,not(t3)) ),
inference(resolve,[$cnf( $equal(not(xor(a,t3)),or(a,t4)) )],[refute_0_3055,refute_0_3056]) ).
cnf(refute_0_3058,plain,
or(a,t4) = or(a,not(t3)),
inference(resolve,[$cnf( $equal(not(xor(a,t3)),or(a,not(t3))) )],[refute_0_3051,refute_0_3057]) ).
cnf(refute_0_3059,plain,
( or(a,t4) != or(a,not(t3))
| or(a,not(t3)) = or(a,t4) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(a,t4))),bind(Y0,$fot(or(a,not(t3))))]]) ).
cnf(refute_0_3060,plain,
or(a,not(t3)) = or(a,t4),
inference(resolve,[$cnf( $equal(or(a,t4),or(a,not(t3))) )],[refute_0_3058,refute_0_3059]) ).
cnf(refute_0_3061,plain,
( or(a,not(t3)) != or(a,not(not(b)))
| or(a,not(t3)) != or(a,t4)
| or(a,t4) = or(a,not(not(b))) ),
introduced(tautology,[equality,[$cnf( $equal(or(a,not(t3)),or(a,not(not(b)))) ),[0],$fot(or(a,t4))]]) ).
cnf(refute_0_3062,plain,
( or(a,not(t3)) != or(a,not(not(b)))
| or(a,t4) = or(a,not(not(b))) ),
inference(resolve,[$cnf( $equal(or(a,not(t3)),or(a,t4)) )],[refute_0_3060,refute_0_3061]) ).
cnf(refute_0_3063,plain,
not(not(b)) = b,
inference(subst,[],[not_involution:[bind(X,$fot(b))]]) ).
cnf(refute_0_3064,plain,
or(a,not(not(b))) = or(a,not(not(b))),
introduced(tautology,[refl,[$fot(or(a,not(not(b))))]]) ).
cnf(refute_0_3065,plain,
( not(not(b)) != b
| or(a,not(not(b))) != or(a,not(not(b)))
| or(a,not(not(b))) = or(a,b) ),
introduced(tautology,[equality,[$cnf( $equal(or(a,not(not(b))),or(a,not(not(b)))) ),[1,1],$fot(b)]]) ).
cnf(refute_0_3066,plain,
( not(not(b)) != b
| or(a,not(not(b))) = or(a,b) ),
inference(resolve,[$cnf( $equal(or(a,not(not(b))),or(a,not(not(b)))) )],[refute_0_3064,refute_0_3065]) ).
cnf(refute_0_3067,plain,
or(a,not(not(b))) = or(a,b),
inference(resolve,[$cnf( $equal(not(not(b)),b) )],[refute_0_3063,refute_0_3066]) ).
cnf(refute_0_3068,plain,
( or(a,not(not(b))) != or(a,b)
| or(a,t4) != or(a,not(not(b)))
| or(a,t4) = or(a,b) ),
introduced(tautology,[equality,[$cnf( $equal(or(a,t4),or(a,not(not(b)))) ),[1],$fot(or(a,b))]]) ).
cnf(refute_0_3069,plain,
( or(a,t4) != or(a,not(not(b)))
| or(a,t4) = or(a,b) ),
inference(resolve,[$cnf( $equal(or(a,not(not(b))),or(a,b)) )],[refute_0_3067,refute_0_3068]) ).
cnf(refute_0_3070,plain,
( or(a,not(t3)) != or(a,not(not(b)))
| or(a,t4) = or(a,b) ),
inference(resolve,[$cnf( $equal(or(a,t4),or(a,not(not(b)))) )],[refute_0_3062,refute_0_3069]) ).
cnf(refute_0_3071,plain,
or(a,t4) = or(a,b),
inference(resolve,[$cnf( $equal(or(a,not(t3)),or(a,not(not(b)))) )],[refute_0_3035,refute_0_3070]) ).
cnf(refute_0_3072,plain,
and(or(a,t4),not(X_26)) = and(or(a,t4),not(X_26)),
introduced(tautology,[refl,[$fot(and(or(a,t4),not(X_26)))]]) ).
cnf(refute_0_3073,plain,
( and(or(a,t4),not(X_26)) != and(or(a,t4),not(X_26))
| or(a,t4) != or(a,b)
| and(or(a,t4),not(X_26)) = and(or(a,b),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(a,t4),not(X_26)),and(or(a,t4),not(X_26))) ),[1,0],$fot(or(a,b))]]) ).
cnf(refute_0_3074,plain,
( or(a,t4) != or(a,b)
| and(or(a,t4),not(X_26)) = and(or(a,b),not(X_26)) ),
inference(resolve,[$cnf( $equal(and(or(a,t4),not(X_26)),and(or(a,t4),not(X_26))) )],[refute_0_3072,refute_0_3073]) ).
cnf(refute_0_3075,plain,
and(or(a,t4),not(X_26)) = and(or(a,b),not(X_26)),
inference(resolve,[$cnf( $equal(or(a,t4),or(a,b)) )],[refute_0_3071,refute_0_3074]) ).
cnf(refute_0_3076,plain,
( and(or(a,t4),not(X_26)) != and(or(a,b),not(X_26))
| not(or(xor(a,t3),X_26)) != and(or(a,t4),not(X_26))
| not(or(xor(a,t3),X_26)) = and(or(a,b),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(a,t3),X_26)),and(or(a,t4),not(X_26))) ),[1],$fot(and(or(a,b),not(X_26)))]]) ).
cnf(refute_0_3077,plain,
( not(or(xor(a,t3),X_26)) != and(or(a,t4),not(X_26))
| not(or(xor(a,t3),X_26)) = and(or(a,b),not(X_26)) ),
inference(resolve,[$cnf( $equal(and(or(a,t4),not(X_26)),and(or(a,b),not(X_26))) )],[refute_0_3075,refute_0_3076]) ).
cnf(refute_0_3078,plain,
not(or(xor(a,t3),X_26)) = and(or(a,b),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(xor(a,t3),X_26)),and(or(a,t4),not(X_26))) )],[refute_0_2961,refute_0_3077]) ).
cnf(refute_0_3079,plain,
( not(or(xor(a,t3),X_26)) != and(or(a,b),not(X_26))
| and(or(a,b),not(X_26)) = not(or(xor(a,t3),X_26)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(xor(a,t3),X_26)))),bind(Y0,$fot(and(or(a,b),not(X_26))))]]) ).
cnf(refute_0_3080,plain,
and(or(a,b),not(X_26)) = not(or(xor(a,t3),X_26)),
inference(resolve,[$cnf( $equal(not(or(xor(a,t3),X_26)),and(or(a,b),not(X_26))) )],[refute_0_3078,refute_0_3079]) ).
cnf(refute_0_3081,plain,
and(or(a,b),not(or(cin,t1))) = not(or(xor(a,t3),or(cin,t1))),
inference(subst,[],[refute_0_3080:[bind(X_26,$fot(or(cin,t1)))]]) ).
cnf(refute_0_3082,plain,
( and(or(a,b),not(or(cin,t1))) != not(or(xor(a,t3),or(cin,t1)))
| not(or(xor(a,t3),or(cin,t1))) != not(or(cin,or(t1,xor(a,t3))))
| and(or(a,b),not(or(cin,t1))) = not(or(cin,or(t1,xor(a,t3)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(or(a,b),not(or(cin,t1))))),bind(Y0,$fot(not(or(xor(a,t3),or(cin,t1))))),bind(Z0,$fot(not(or(cin,or(t1,xor(a,t3))))))]]) ).
cnf(refute_0_3083,plain,
( not(or(xor(a,t3),or(cin,t1))) != not(or(cin,or(t1,xor(a,t3))))
| and(or(a,b),not(or(cin,t1))) = not(or(cin,or(t1,xor(a,t3)))) ),
inference(resolve,[$cnf( $equal(and(or(a,b),not(or(cin,t1))),not(or(xor(a,t3),or(cin,t1)))) )],[refute_0_3081,refute_0_3082]) ).
cnf(refute_0_3084,plain,
and(or(a,b),not(or(cin,t1))) = not(or(cin,or(t1,xor(a,t3)))),
inference(resolve,[$cnf( $equal(not(or(xor(a,t3),or(cin,t1))),not(or(cin,or(t1,xor(a,t3))))) )],[refute_0_2919,refute_0_3083]) ).
cnf(refute_0_3085,plain,
( and(or(a,b),not(or(cin,t1))) != not(or(cin,or(t1,xor(a,t3))))
| not(or(cin,or(t1,xor(a,t3)))) != not(or(cin,t1))
| and(or(a,b),not(or(cin,t1))) = not(or(cin,t1)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(or(a,b),not(or(cin,t1))))),bind(Y0,$fot(not(or(cin,or(t1,xor(a,t3)))))),bind(Z0,$fot(not(or(cin,t1))))]]) ).
cnf(refute_0_3086,plain,
( not(or(cin,or(t1,xor(a,t3)))) != not(or(cin,t1))
| and(or(a,b),not(or(cin,t1))) = not(or(cin,t1)) ),
inference(resolve,[$cnf( $equal(and(or(a,b),not(or(cin,t1))),not(or(cin,or(t1,xor(a,t3))))) )],[refute_0_3084,refute_0_3085]) ).
cnf(refute_0_3087,plain,
and(or(a,b),not(or(cin,t1))) = not(or(cin,t1)),
inference(resolve,[$cnf( $equal(not(or(cin,or(t1,xor(a,t3)))),not(or(cin,t1))) )],[refute_0_2907,refute_0_3086]) ).
cnf(refute_0_3088,plain,
and(cin,and(or(a,b),not(or(cin,t1)))) = and(cin,and(or(a,b),not(or(cin,t1)))),
introduced(tautology,[refl,[$fot(and(cin,and(or(a,b),not(or(cin,t1)))))]]) ).
cnf(refute_0_3089,plain,
( and(cin,and(or(a,b),not(or(cin,t1)))) != and(cin,and(or(a,b),not(or(cin,t1))))
| and(or(a,b),not(or(cin,t1))) != not(or(cin,t1))
| and(cin,and(or(a,b),not(or(cin,t1)))) = and(cin,not(or(cin,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,and(or(a,b),not(or(cin,t1)))),and(cin,and(or(a,b),not(or(cin,t1))))) ),[1,1],$fot(not(or(cin,t1)))]]) ).
cnf(refute_0_3090,plain,
( and(or(a,b),not(or(cin,t1))) != not(or(cin,t1))
| and(cin,and(or(a,b),not(or(cin,t1)))) = and(cin,not(or(cin,t1))) ),
inference(resolve,[$cnf( $equal(and(cin,and(or(a,b),not(or(cin,t1)))),and(cin,and(or(a,b),not(or(cin,t1))))) )],[refute_0_3088,refute_0_3089]) ).
cnf(refute_0_3091,plain,
and(cin,and(or(a,b),not(or(cin,t1)))) = and(cin,not(or(cin,t1))),
inference(resolve,[$cnf( $equal(and(or(a,b),not(or(cin,t1))),not(or(cin,t1))) )],[refute_0_3087,refute_0_3090]) ).
cnf(refute_0_3092,plain,
( and(cin,and(or(a,b),not(or(cin,t1)))) != and(cin,not(or(cin,t1)))
| and(cin,not(or(cin,t1))) != ll0
| and(cin,and(or(a,b),not(or(cin,t1)))) = ll0 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(cin,and(or(a,b),not(or(cin,t1)))))),bind(Y0,$fot(and(cin,not(or(cin,t1))))),bind(Z0,$fot(ll0))]]) ).
cnf(refute_0_3093,plain,
( and(cin,not(or(cin,t1))) != ll0
| and(cin,and(or(a,b),not(or(cin,t1)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(cin,and(or(a,b),not(or(cin,t1)))),and(cin,not(or(cin,t1)))) )],[refute_0_3091,refute_0_3092]) ).
cnf(refute_0_3094,plain,
and(cin,and(or(a,b),not(or(cin,t1)))) = ll0,
inference(resolve,[$cnf( $equal(and(cin,not(or(cin,t1))),ll0) )],[refute_0_2882,refute_0_3093]) ).
cnf(refute_0_3095,plain,
or(and(cin,and(or(a,b),not(or(cin,t1)))),Z) = or(and(cin,and(or(a,b),not(or(cin,t1)))),Z),
introduced(tautology,[refl,[$fot(or(and(cin,and(or(a,b),not(or(cin,t1)))),Z))]]) ).
cnf(refute_0_3096,plain,
( and(cin,and(or(a,b),not(or(cin,t1)))) != ll0
| or(and(cin,and(or(a,b),not(or(cin,t1)))),Z) != or(and(cin,and(or(a,b),not(or(cin,t1)))),Z)
| or(and(cin,and(or(a,b),not(or(cin,t1)))),Z) = or(ll0,Z) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(cin,and(or(a,b),not(or(cin,t1)))),Z),or(and(cin,and(or(a,b),not(or(cin,t1)))),Z)) ),[1,0],$fot(ll0)]]) ).
cnf(refute_0_3097,plain,
( and(cin,and(or(a,b),not(or(cin,t1)))) != ll0
| or(and(cin,and(or(a,b),not(or(cin,t1)))),Z) = or(ll0,Z) ),
inference(resolve,[$cnf( $equal(or(and(cin,and(or(a,b),not(or(cin,t1)))),Z),or(and(cin,and(or(a,b),not(or(cin,t1)))),Z)) )],[refute_0_3095,refute_0_3096]) ).
cnf(refute_0_3098,plain,
or(and(cin,and(or(a,b),not(or(cin,t1)))),Z) = or(ll0,Z),
inference(resolve,[$cnf( $equal(and(cin,and(or(a,b),not(or(cin,t1)))),ll0) )],[refute_0_3094,refute_0_3097]) ).
cnf(refute_0_3099,plain,
( or(and(cin,and(or(a,b),not(or(cin,t1)))),Z) != or(ll0,Z)
| or(ll0,Z) != Z
| or(and(cin,and(or(a,b),not(or(cin,t1)))),Z) = Z ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(cin,and(or(a,b),not(or(cin,t1)))),Z))),bind(Y0,$fot(or(ll0,Z))),bind(Z0,$fot(Z))]]) ).
cnf(refute_0_3100,plain,
( or(ll0,Z) != Z
| or(and(cin,and(or(a,b),not(or(cin,t1)))),Z) = Z ),
inference(resolve,[$cnf( $equal(or(and(cin,and(or(a,b),not(or(cin,t1)))),Z),or(ll0,Z)) )],[refute_0_3098,refute_0_3099]) ).
cnf(refute_0_3101,plain,
or(and(cin,and(or(a,b),not(or(cin,t1)))),Z) = Z,
inference(resolve,[$cnf( $equal(or(ll0,Z),Z) )],[refute_0_2857,refute_0_3100]) ).
cnf(refute_0_3102,plain,
or(not(carry_def),or(and(cin,and(or(a,b),not(or(cin,t1)))),Z)) = or(not(carry_def),or(and(cin,and(or(a,b),not(or(cin,t1)))),Z)),
introduced(tautology,[refl,[$fot(or(not(carry_def),or(and(cin,and(or(a,b),not(or(cin,t1)))),Z)))]]) ).
cnf(refute_0_3103,plain,
( or(and(cin,and(or(a,b),not(or(cin,t1)))),Z) != Z
| or(not(carry_def),or(and(cin,and(or(a,b),not(or(cin,t1)))),Z)) != or(not(carry_def),or(and(cin,and(or(a,b),not(or(cin,t1)))),Z))
| or(not(carry_def),or(and(cin,and(or(a,b),not(or(cin,t1)))),Z)) = or(not(carry_def),Z) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(carry_def),or(and(cin,and(or(a,b),not(or(cin,t1)))),Z)),or(not(carry_def),or(and(cin,and(or(a,b),not(or(cin,t1)))),Z))) ),[1,1],$fot(Z)]]) ).
cnf(refute_0_3104,plain,
( or(and(cin,and(or(a,b),not(or(cin,t1)))),Z) != Z
| or(not(carry_def),or(and(cin,and(or(a,b),not(or(cin,t1)))),Z)) = or(not(carry_def),Z) ),
inference(resolve,[$cnf( $equal(or(not(carry_def),or(and(cin,and(or(a,b),not(or(cin,t1)))),Z)),or(not(carry_def),or(and(cin,and(or(a,b),not(or(cin,t1)))),Z))) )],[refute_0_3102,refute_0_3103]) ).
cnf(refute_0_3105,plain,
or(not(carry_def),or(and(cin,and(or(a,b),not(or(cin,t1)))),Z)) = or(not(carry_def),Z),
inference(resolve,[$cnf( $equal(or(and(cin,and(or(a,b),not(or(cin,t1)))),Z),Z) )],[refute_0_3101,refute_0_3104]) ).
cnf(refute_0_3106,plain,
( or(not(carry_def),or(and(cin,and(or(a,b),not(or(cin,t1)))),Z)) != or(not(carry_def),Z)
| or(xor(or(cin,t1),and(cin,or(a,b))),Z) != or(not(carry_def),or(and(cin,and(or(a,b),not(or(cin,t1)))),Z))
| or(xor(or(cin,t1),and(cin,or(a,b))),Z) = or(not(carry_def),Z) ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(or(cin,t1),and(cin,or(a,b))),Z),or(not(carry_def),or(and(cin,and(or(a,b),not(or(cin,t1)))),Z))) ),[1],$fot(or(not(carry_def),Z))]]) ).
cnf(refute_0_3107,plain,
( or(xor(or(cin,t1),and(cin,or(a,b))),Z) != or(not(carry_def),or(and(cin,and(or(a,b),not(or(cin,t1)))),Z))
| or(xor(or(cin,t1),and(cin,or(a,b))),Z) = or(not(carry_def),Z) ),
inference(resolve,[$cnf( $equal(or(not(carry_def),or(and(cin,and(or(a,b),not(or(cin,t1)))),Z)),or(not(carry_def),Z)) )],[refute_0_3105,refute_0_3106]) ).
cnf(refute_0_3108,plain,
or(xor(or(cin,t1),and(cin,or(a,b))),Z) = or(not(carry_def),Z),
inference(resolve,[$cnf( $equal(or(xor(or(cin,t1),and(cin,or(a,b))),Z),or(not(carry_def),or(and(cin,and(or(a,b),not(or(cin,t1)))),Z))) )],[refute_0_2856,refute_0_3107]) ).
cnf(refute_0_3109,plain,
or(xor(or(cin,t1),and(cin,or(a,b))),not(carry_def)) = or(not(carry_def),not(carry_def)),
inference(subst,[],[refute_0_3108:[bind(Z,$fot(not(carry_def)))]]) ).
cnf(refute_0_3110,plain,
( or(not(carry_def),not(carry_def)) != not(and(carry_def,carry_def))
| or(xor(or(cin,t1),and(cin,or(a,b))),not(carry_def)) != or(not(carry_def),not(carry_def))
| or(xor(or(cin,t1),and(cin,or(a,b))),not(carry_def)) = not(and(carry_def,carry_def)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(xor(or(cin,t1),and(cin,or(a,b))),not(carry_def)))),bind(Y0,$fot(or(not(carry_def),not(carry_def)))),bind(Z0,$fot(not(and(carry_def,carry_def))))]]) ).
cnf(refute_0_3111,plain,
( or(not(carry_def),not(carry_def)) != not(and(carry_def,carry_def))
| or(xor(or(cin,t1),and(cin,or(a,b))),not(carry_def)) = not(and(carry_def,carry_def)) ),
inference(resolve,[$cnf( $equal(or(xor(or(cin,t1),and(cin,or(a,b))),not(carry_def)),or(not(carry_def),not(carry_def))) )],[refute_0_3109,refute_0_3110]) ).
cnf(refute_0_3112,plain,
or(xor(or(cin,t1),and(cin,or(a,b))),not(carry_def)) = not(and(carry_def,carry_def)),
inference(resolve,[$cnf( $equal(or(not(carry_def),not(carry_def)),not(and(carry_def,carry_def))) )],[refute_0_2836,refute_0_3111]) ).
cnf(refute_0_3113,plain,
not(and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def)) = or(xor(or(cin,t1),and(cin,or(a,b))),not(carry_def)),
inference(subst,[],[refute_0_787:[bind(X,$fot(xor(or(cin,t1),and(cin,or(a,b))))),bind(X_32,$fot(carry_def))]]) ).
cnf(refute_0_3114,plain,
( not(and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def)) != or(xor(or(cin,t1),and(cin,or(a,b))),not(carry_def))
| or(xor(or(cin,t1),and(cin,or(a,b))),not(carry_def)) != not(and(carry_def,carry_def))
| not(and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def)) = not(and(carry_def,carry_def)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def)))),bind(Y0,$fot(or(xor(or(cin,t1),and(cin,or(a,b))),not(carry_def)))),bind(Z0,$fot(not(and(carry_def,carry_def))))]]) ).
cnf(refute_0_3115,plain,
( or(xor(or(cin,t1),and(cin,or(a,b))),not(carry_def)) != not(and(carry_def,carry_def))
| not(and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def)) = not(and(carry_def,carry_def)) ),
inference(resolve,[$cnf( $equal(not(and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def)),or(xor(or(cin,t1),and(cin,or(a,b))),not(carry_def))) )],[refute_0_3113,refute_0_3114]) ).
cnf(refute_0_3116,plain,
not(and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def)) = not(and(carry_def,carry_def)),
inference(resolve,[$cnf( $equal(or(xor(or(cin,t1),and(cin,or(a,b))),not(carry_def)),not(and(carry_def,carry_def))) )],[refute_0_3112,refute_0_3115]) ).
cnf(refute_0_3117,plain,
( not(and(carry_def,carry_def)) != not(carry_def)
| not(and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def)) != not(and(carry_def,carry_def))
| not(and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def)) = not(carry_def) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def)))),bind(Y0,$fot(not(and(carry_def,carry_def)))),bind(Z0,$fot(not(carry_def)))]]) ).
cnf(refute_0_3118,plain,
( not(and(carry_def,carry_def)) != not(carry_def)
| not(and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def)) = not(carry_def) ),
inference(resolve,[$cnf( $equal(not(and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def)),not(and(carry_def,carry_def))) )],[refute_0_3116,refute_0_3117]) ).
cnf(refute_0_3119,plain,
not(and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def)) = not(carry_def),
inference(resolve,[$cnf( $equal(not(and(carry_def,carry_def)),not(carry_def)) )],[refute_0_2835,refute_0_3118]) ).
cnf(refute_0_3120,plain,
( not(and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def)) != not(carry_def)
| not(and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def)) != not(not(xor(or(cin,t1),and(cin,or(a,b)))))
| not(carry_def) = not(not(xor(or(cin,t1),and(cin,or(a,b))))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def)),not(not(xor(or(cin,t1),and(cin,or(a,b)))))) ),[0],$fot(not(carry_def))]]) ).
cnf(refute_0_3121,plain,
( not(and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def)) != not(not(xor(or(cin,t1),and(cin,or(a,b)))))
| not(carry_def) = not(not(xor(or(cin,t1),and(cin,or(a,b))))) ),
inference(resolve,[$cnf( $equal(not(and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def)),not(carry_def)) )],[refute_0_3119,refute_0_3120]) ).
cnf(refute_0_3122,plain,
not(not(xor(or(cin,t1),and(cin,or(a,b))))) = xor(or(cin,t1),and(cin,or(a,b))),
inference(subst,[],[not_involution:[bind(X,$fot(xor(or(cin,t1),and(cin,or(a,b)))))]]) ).
cnf(refute_0_3123,plain,
( not(carry_def) != not(not(xor(or(cin,t1),and(cin,or(a,b)))))
| not(not(xor(or(cin,t1),and(cin,or(a,b))))) != xor(or(cin,t1),and(cin,or(a,b)))
| not(carry_def) = xor(or(cin,t1),and(cin,or(a,b))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(carry_def),xor(or(cin,t1),and(cin,or(a,b)))) ),[0],$fot(not(not(xor(or(cin,t1),and(cin,or(a,b))))))]]) ).
cnf(refute_0_3124,plain,
( not(carry_def) != not(not(xor(or(cin,t1),and(cin,or(a,b)))))
| not(carry_def) = xor(or(cin,t1),and(cin,or(a,b))) ),
inference(resolve,[$cnf( $equal(not(not(xor(or(cin,t1),and(cin,or(a,b))))),xor(or(cin,t1),and(cin,or(a,b)))) )],[refute_0_3122,refute_0_3123]) ).
cnf(refute_0_3125,plain,
( not(and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def)) != not(not(xor(or(cin,t1),and(cin,or(a,b)))))
| not(carry_def) = xor(or(cin,t1),and(cin,or(a,b))) ),
inference(resolve,[$cnf( $equal(not(carry_def),not(not(xor(or(cin,t1),and(cin,or(a,b)))))) )],[refute_0_3121,refute_0_3124]) ).
cnf(refute_0_3126,plain,
not(carry_def) = xor(or(cin,t1),and(cin,or(a,b))),
inference(resolve,[$cnf( $equal(not(and(not(xor(or(cin,t1),and(cin,or(a,b)))),carry_def)),not(not(xor(or(cin,t1),and(cin,or(a,b)))))) )],[refute_0_2830,refute_0_3125]) ).
cnf(refute_0_3127,plain,
( not(carry_def) != xor(or(cin,t1),and(cin,or(a,b)))
| xor(or(cin,t1),and(cin,or(a,b))) = not(carry_def) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(carry_def))),bind(Y0,$fot(xor(or(cin,t1),and(cin,or(a,b)))))]]) ).
cnf(refute_0_3128,plain,
xor(or(cin,t1),and(cin,or(a,b))) = not(carry_def),
inference(resolve,[$cnf( $equal(not(carry_def),xor(or(cin,t1),and(cin,or(a,b)))) )],[refute_0_3126,refute_0_3127]) ).
cnf(refute_0_3129,plain,
( xor(or(cin,t1),and(cin,or(a,b))) != not(carry_def)
| xor(or(cin,t1),xor(or(cin,t1),and(cin,or(a,b)))) != and(cin,or(a,b))
| xor(or(cin,t1),not(carry_def)) = and(cin,or(a,b)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(or(cin,t1),xor(or(cin,t1),and(cin,or(a,b)))),and(cin,or(a,b))) ),[0,1],$fot(not(carry_def))]]) ).
cnf(refute_0_3130,plain,
( xor(or(cin,t1),xor(or(cin,t1),and(cin,or(a,b)))) != and(cin,or(a,b))
| xor(or(cin,t1),not(carry_def)) = and(cin,or(a,b)) ),
inference(resolve,[$cnf( $equal(xor(or(cin,t1),and(cin,or(a,b))),not(carry_def)) )],[refute_0_3128,refute_0_3129]) ).
cnf(refute_0_3131,plain,
xor(or(cin,t1),not(carry_def)) = and(cin,or(a,b)),
inference(resolve,[$cnf( $equal(xor(or(cin,t1),xor(or(cin,t1),and(cin,or(a,b)))),and(cin,or(a,b))) )],[refute_0_2759,refute_0_3130]) ).
cnf(refute_0_3132,plain,
not(not(and(carry_def,or(cin,t1)))) = and(carry_def,or(cin,t1)),
inference(subst,[],[not_involution:[bind(X,$fot(and(carry_def,or(cin,t1))))]]) ).
cnf(refute_0_3133,plain,
or(and(carry_def,not(or(cin,t1))),and(not(carry_def),or(cin,t1))) = xor(carry_def,or(cin,t1)),
inference(subst,[],[refute_0_9:[bind(X,$fot(carry_def)),bind(Y,$fot(or(cin,t1)))]]) ).
cnf(refute_0_3134,plain,
and(not(or(cin,t1)),or(not(or(cin,t1)),and(cin,or(a,b)))) = not(or(cin,t1)),
inference(subst,[],[and_absorption:[bind(X,$fot(not(or(cin,t1)))),bind(Y,$fot(and(cin,or(a,b))))]]) ).
cnf(refute_0_3135,plain,
( and(not(or(cin,t1)),or(not(or(cin,t1)),and(cin,or(a,b)))) != not(or(cin,t1))
| or(not(or(cin,t1)),and(cin,or(a,b))) != carry_def
| and(not(or(cin,t1)),carry_def) = not(or(cin,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(or(cin,t1)),or(not(or(cin,t1)),and(cin,or(a,b)))),not(or(cin,t1))) ),[0,1],$fot(carry_def)]]) ).
cnf(refute_0_3136,plain,
( and(not(or(cin,t1)),or(not(or(cin,t1)),and(cin,or(a,b)))) != not(or(cin,t1))
| and(not(or(cin,t1)),carry_def) = not(or(cin,t1)) ),
inference(resolve,[$cnf( $equal(or(not(or(cin,t1)),and(cin,or(a,b))),carry_def) )],[refute_0_2784,refute_0_3135]) ).
cnf(refute_0_3137,plain,
and(not(or(cin,t1)),carry_def) = not(or(cin,t1)),
inference(resolve,[$cnf( $equal(and(not(or(cin,t1)),or(not(or(cin,t1)),and(cin,or(a,b)))),not(or(cin,t1))) )],[refute_0_3134,refute_0_3136]) ).
cnf(refute_0_3138,plain,
and(not(or(cin,t1)),carry_def) = and(carry_def,not(or(cin,t1))),
inference(subst,[],[refute_0_116:[bind(X,$fot(carry_def)),bind(Y,$fot(not(or(cin,t1))))]]) ).
cnf(refute_0_3139,plain,
( and(not(or(cin,t1)),carry_def) != and(carry_def,not(or(cin,t1)))
| and(not(or(cin,t1)),carry_def) != not(or(cin,t1))
| and(carry_def,not(or(cin,t1))) = not(or(cin,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(or(cin,t1)),carry_def),not(or(cin,t1))) ),[0],$fot(and(carry_def,not(or(cin,t1))))]]) ).
cnf(refute_0_3140,plain,
( and(not(or(cin,t1)),carry_def) != not(or(cin,t1))
| and(carry_def,not(or(cin,t1))) = not(or(cin,t1)) ),
inference(resolve,[$cnf( $equal(and(not(or(cin,t1)),carry_def),and(carry_def,not(or(cin,t1)))) )],[refute_0_3138,refute_0_3139]) ).
cnf(refute_0_3141,plain,
and(carry_def,not(or(cin,t1))) = not(or(cin,t1)),
inference(resolve,[$cnf( $equal(and(not(or(cin,t1)),carry_def),not(or(cin,t1))) )],[refute_0_3137,refute_0_3140]) ).
cnf(refute_0_3142,plain,
( and(carry_def,not(or(cin,t1))) != not(or(cin,t1))
| or(and(carry_def,not(or(cin,t1))),and(not(carry_def),or(cin,t1))) != xor(carry_def,or(cin,t1))
| or(not(or(cin,t1)),and(not(carry_def),or(cin,t1))) = xor(carry_def,or(cin,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(carry_def,not(or(cin,t1))),and(not(carry_def),or(cin,t1))),xor(carry_def,or(cin,t1))) ),[0,0],$fot(not(or(cin,t1)))]]) ).
cnf(refute_0_3143,plain,
( or(and(carry_def,not(or(cin,t1))),and(not(carry_def),or(cin,t1))) != xor(carry_def,or(cin,t1))
| or(not(or(cin,t1)),and(not(carry_def),or(cin,t1))) = xor(carry_def,or(cin,t1)) ),
inference(resolve,[$cnf( $equal(and(carry_def,not(or(cin,t1))),not(or(cin,t1))) )],[refute_0_3141,refute_0_3142]) ).
cnf(refute_0_3144,plain,
or(not(or(cin,t1)),and(not(carry_def),or(cin,t1))) = xor(carry_def,or(cin,t1)),
inference(resolve,[$cnf( $equal(or(and(carry_def,not(or(cin,t1))),and(not(carry_def),or(cin,t1))),xor(carry_def,or(cin,t1))) )],[refute_0_3133,refute_0_3143]) ).
cnf(refute_0_3145,plain,
not(and(or(cin,t1),carry_def)) = not(and(carry_def,or(cin,t1))),
inference(subst,[],[refute_0_333:[bind(X_31,$fot(or(cin,t1))),bind(X_32,$fot(carry_def))]]) ).
cnf(refute_0_3146,plain,
or(not(or(cin,t1)),not(carry_def)) = not(and(or(cin,t1),carry_def)),
inference(subst,[],[refute_0_147:[bind(X,$fot(or(cin,t1))),bind(Y,$fot(carry_def))]]) ).
cnf(refute_0_3147,plain,
( not(and(or(cin,t1),carry_def)) != not(and(carry_def,or(cin,t1)))
| or(not(or(cin,t1)),not(carry_def)) != not(and(or(cin,t1),carry_def))
| or(not(or(cin,t1)),not(carry_def)) = not(and(carry_def,or(cin,t1))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(or(cin,t1)),not(carry_def)))),bind(Y0,$fot(not(and(or(cin,t1),carry_def)))),bind(Z0,$fot(not(and(carry_def,or(cin,t1)))))]]) ).
cnf(refute_0_3148,plain,
( not(and(or(cin,t1),carry_def)) != not(and(carry_def,or(cin,t1)))
| or(not(or(cin,t1)),not(carry_def)) = not(and(carry_def,or(cin,t1))) ),
inference(resolve,[$cnf( $equal(or(not(or(cin,t1)),not(carry_def)),not(and(or(cin,t1),carry_def))) )],[refute_0_3146,refute_0_3147]) ).
cnf(refute_0_3149,plain,
or(not(or(cin,t1)),not(carry_def)) = not(and(carry_def,or(cin,t1))),
inference(resolve,[$cnf( $equal(not(and(or(cin,t1),carry_def)),not(and(carry_def,or(cin,t1)))) )],[refute_0_3145,refute_0_3148]) ).
cnf(refute_0_3150,plain,
not(or(carry_def,not(or(cin,t1)))) = not(or(not(or(cin,t1)),carry_def)),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(not(or(cin,t1)))),bind(X_26,$fot(carry_def))]]) ).
cnf(refute_0_3151,plain,
or(carry_def,and(carry_def,not(or(cin,t1)))) = carry_def,
inference(subst,[],[or_absorption:[bind(X,$fot(carry_def)),bind(Y,$fot(not(or(cin,t1))))]]) ).
cnf(refute_0_3152,plain,
( and(carry_def,not(or(cin,t1))) != not(or(cin,t1))
| or(carry_def,and(carry_def,not(or(cin,t1)))) != carry_def
| or(carry_def,not(or(cin,t1))) = carry_def ),
introduced(tautology,[equality,[$cnf( $equal(or(carry_def,and(carry_def,not(or(cin,t1)))),carry_def) ),[0,1],$fot(not(or(cin,t1)))]]) ).
cnf(refute_0_3153,plain,
( or(carry_def,and(carry_def,not(or(cin,t1)))) != carry_def
| or(carry_def,not(or(cin,t1))) = carry_def ),
inference(resolve,[$cnf( $equal(and(carry_def,not(or(cin,t1))),not(or(cin,t1))) )],[refute_0_3141,refute_0_3152]) ).
cnf(refute_0_3154,plain,
or(carry_def,not(or(cin,t1))) = carry_def,
inference(resolve,[$cnf( $equal(or(carry_def,and(carry_def,not(or(cin,t1)))),carry_def) )],[refute_0_3151,refute_0_3153]) ).
cnf(refute_0_3155,plain,
( not(or(carry_def,not(or(cin,t1)))) != not(or(not(or(cin,t1)),carry_def))
| or(carry_def,not(or(cin,t1))) != carry_def
| not(carry_def) = not(or(not(or(cin,t1)),carry_def)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry_def,not(or(cin,t1)))),not(or(not(or(cin,t1)),carry_def))) ),[0,0],$fot(carry_def)]]) ).
cnf(refute_0_3156,plain,
( not(or(carry_def,not(or(cin,t1)))) != not(or(not(or(cin,t1)),carry_def))
| not(carry_def) = not(or(not(or(cin,t1)),carry_def)) ),
inference(resolve,[$cnf( $equal(or(carry_def,not(or(cin,t1))),carry_def) )],[refute_0_3154,refute_0_3155]) ).
cnf(refute_0_3157,plain,
not(carry_def) = not(or(not(or(cin,t1)),carry_def)),
inference(resolve,[$cnf( $equal(not(or(carry_def,not(or(cin,t1)))),not(or(not(or(cin,t1)),carry_def))) )],[refute_0_3150,refute_0_3156]) ).
cnf(refute_0_3158,plain,
and(or(cin,t1),not(carry_def)) = and(not(carry_def),or(cin,t1)),
inference(subst,[],[refute_0_116:[bind(X,$fot(not(carry_def))),bind(Y,$fot(or(cin,t1)))]]) ).
cnf(refute_0_3159,plain,
not(or(not(or(cin,t1)),carry_def)) = and(or(cin,t1),not(carry_def)),
inference(subst,[],[refute_0_159:[bind(X,$fot(or(cin,t1))),bind(X_26,$fot(carry_def))]]) ).
cnf(refute_0_3160,plain,
( and(or(cin,t1),not(carry_def)) != and(not(carry_def),or(cin,t1))
| not(or(not(or(cin,t1)),carry_def)) != and(or(cin,t1),not(carry_def))
| not(or(not(or(cin,t1)),carry_def)) = and(not(carry_def),or(cin,t1)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(not(or(cin,t1)),carry_def)))),bind(Y0,$fot(and(or(cin,t1),not(carry_def)))),bind(Z0,$fot(and(not(carry_def),or(cin,t1))))]]) ).
cnf(refute_0_3161,plain,
( and(or(cin,t1),not(carry_def)) != and(not(carry_def),or(cin,t1))
| not(or(not(or(cin,t1)),carry_def)) = and(not(carry_def),or(cin,t1)) ),
inference(resolve,[$cnf( $equal(not(or(not(or(cin,t1)),carry_def)),and(or(cin,t1),not(carry_def))) )],[refute_0_3159,refute_0_3160]) ).
cnf(refute_0_3162,plain,
not(or(not(or(cin,t1)),carry_def)) = and(not(carry_def),or(cin,t1)),
inference(resolve,[$cnf( $equal(and(or(cin,t1),not(carry_def)),and(not(carry_def),or(cin,t1))) )],[refute_0_3158,refute_0_3161]) ).
cnf(refute_0_3163,plain,
( not(carry_def) != not(or(not(or(cin,t1)),carry_def))
| not(or(not(or(cin,t1)),carry_def)) != and(not(carry_def),or(cin,t1))
| not(carry_def) = and(not(carry_def),or(cin,t1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(carry_def),and(not(carry_def),or(cin,t1))) ),[0],$fot(not(or(not(or(cin,t1)),carry_def)))]]) ).
cnf(refute_0_3164,plain,
( not(carry_def) != not(or(not(or(cin,t1)),carry_def))
| not(carry_def) = and(not(carry_def),or(cin,t1)) ),
inference(resolve,[$cnf( $equal(not(or(not(or(cin,t1)),carry_def)),and(not(carry_def),or(cin,t1))) )],[refute_0_3162,refute_0_3163]) ).
cnf(refute_0_3165,plain,
not(carry_def) = and(not(carry_def),or(cin,t1)),
inference(resolve,[$cnf( $equal(not(carry_def),not(or(not(or(cin,t1)),carry_def))) )],[refute_0_3157,refute_0_3164]) ).
cnf(refute_0_3166,plain,
( not(carry_def) != and(not(carry_def),or(cin,t1))
| and(not(carry_def),or(cin,t1)) = not(carry_def) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(carry_def))),bind(Y0,$fot(and(not(carry_def),or(cin,t1))))]]) ).
cnf(refute_0_3167,plain,
and(not(carry_def),or(cin,t1)) = not(carry_def),
inference(resolve,[$cnf( $equal(not(carry_def),and(not(carry_def),or(cin,t1))) )],[refute_0_3165,refute_0_3166]) ).
cnf(refute_0_3168,plain,
or(not(or(cin,t1)),and(not(carry_def),or(cin,t1))) = or(not(or(cin,t1)),and(not(carry_def),or(cin,t1))),
introduced(tautology,[refl,[$fot(or(not(or(cin,t1)),and(not(carry_def),or(cin,t1))))]]) ).
cnf(refute_0_3169,plain,
( and(not(carry_def),or(cin,t1)) != not(carry_def)
| or(not(or(cin,t1)),and(not(carry_def),or(cin,t1))) != or(not(or(cin,t1)),and(not(carry_def),or(cin,t1)))
| or(not(or(cin,t1)),and(not(carry_def),or(cin,t1))) = or(not(or(cin,t1)),not(carry_def)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(or(cin,t1)),and(not(carry_def),or(cin,t1))),or(not(or(cin,t1)),and(not(carry_def),or(cin,t1)))) ),[1,1],$fot(not(carry_def))]]) ).
cnf(refute_0_3170,plain,
( and(not(carry_def),or(cin,t1)) != not(carry_def)
| or(not(or(cin,t1)),and(not(carry_def),or(cin,t1))) = or(not(or(cin,t1)),not(carry_def)) ),
inference(resolve,[$cnf( $equal(or(not(or(cin,t1)),and(not(carry_def),or(cin,t1))),or(not(or(cin,t1)),and(not(carry_def),or(cin,t1)))) )],[refute_0_3168,refute_0_3169]) ).
cnf(refute_0_3171,plain,
or(not(or(cin,t1)),and(not(carry_def),or(cin,t1))) = or(not(or(cin,t1)),not(carry_def)),
inference(resolve,[$cnf( $equal(and(not(carry_def),or(cin,t1)),not(carry_def)) )],[refute_0_3167,refute_0_3170]) ).
cnf(refute_0_3172,plain,
( or(not(or(cin,t1)),and(not(carry_def),or(cin,t1))) != or(not(or(cin,t1)),not(carry_def))
| or(not(or(cin,t1)),not(carry_def)) != not(and(carry_def,or(cin,t1)))
| or(not(or(cin,t1)),and(not(carry_def),or(cin,t1))) = not(and(carry_def,or(cin,t1))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(or(cin,t1)),and(not(carry_def),or(cin,t1))))),bind(Y0,$fot(or(not(or(cin,t1)),not(carry_def)))),bind(Z0,$fot(not(and(carry_def,or(cin,t1)))))]]) ).
cnf(refute_0_3173,plain,
( or(not(or(cin,t1)),not(carry_def)) != not(and(carry_def,or(cin,t1)))
| or(not(or(cin,t1)),and(not(carry_def),or(cin,t1))) = not(and(carry_def,or(cin,t1))) ),
inference(resolve,[$cnf( $equal(or(not(or(cin,t1)),and(not(carry_def),or(cin,t1))),or(not(or(cin,t1)),not(carry_def))) )],[refute_0_3171,refute_0_3172]) ).
cnf(refute_0_3174,plain,
or(not(or(cin,t1)),and(not(carry_def),or(cin,t1))) = not(and(carry_def,or(cin,t1))),
inference(resolve,[$cnf( $equal(or(not(or(cin,t1)),not(carry_def)),not(and(carry_def,or(cin,t1)))) )],[refute_0_3149,refute_0_3173]) ).
cnf(refute_0_3175,plain,
( or(not(or(cin,t1)),and(not(carry_def),or(cin,t1))) != not(and(carry_def,or(cin,t1)))
| or(not(or(cin,t1)),and(not(carry_def),or(cin,t1))) != xor(carry_def,or(cin,t1))
| not(and(carry_def,or(cin,t1))) = xor(carry_def,or(cin,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(or(cin,t1)),and(not(carry_def),or(cin,t1))),xor(carry_def,or(cin,t1))) ),[0],$fot(not(and(carry_def,or(cin,t1))))]]) ).
cnf(refute_0_3176,plain,
( or(not(or(cin,t1)),and(not(carry_def),or(cin,t1))) != xor(carry_def,or(cin,t1))
| not(and(carry_def,or(cin,t1))) = xor(carry_def,or(cin,t1)) ),
inference(resolve,[$cnf( $equal(or(not(or(cin,t1)),and(not(carry_def),or(cin,t1))),not(and(carry_def,or(cin,t1)))) )],[refute_0_3174,refute_0_3175]) ).
cnf(refute_0_3177,plain,
not(and(carry_def,or(cin,t1))) = xor(carry_def,or(cin,t1)),
inference(resolve,[$cnf( $equal(or(not(or(cin,t1)),and(not(carry_def),or(cin,t1))),xor(carry_def,or(cin,t1))) )],[refute_0_3144,refute_0_3176]) ).
cnf(refute_0_3178,plain,
( not(and(carry_def,or(cin,t1))) != xor(carry_def,or(cin,t1))
| not(not(and(carry_def,or(cin,t1)))) != and(carry_def,or(cin,t1))
| not(xor(carry_def,or(cin,t1))) = and(carry_def,or(cin,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(carry_def,or(cin,t1)))),and(carry_def,or(cin,t1))) ),[0,0],$fot(xor(carry_def,or(cin,t1)))]]) ).
cnf(refute_0_3179,plain,
( not(not(and(carry_def,or(cin,t1)))) != and(carry_def,or(cin,t1))
| not(xor(carry_def,or(cin,t1))) = and(carry_def,or(cin,t1)) ),
inference(resolve,[$cnf( $equal(not(and(carry_def,or(cin,t1))),xor(carry_def,or(cin,t1))) )],[refute_0_3177,refute_0_3178]) ).
cnf(refute_0_3180,plain,
not(xor(carry_def,or(cin,t1))) = and(carry_def,or(cin,t1)),
inference(resolve,[$cnf( $equal(not(not(and(carry_def,or(cin,t1)))),and(carry_def,or(cin,t1))) )],[refute_0_3132,refute_0_3179]) ).
cnf(refute_0_3181,plain,
xor(not(X_378),Y) = xor(Y,not(X_378)),
inference(subst,[],[xor_commutative:[bind(X,$fot(not(X_378)))]]) ).
cnf(refute_0_3182,plain,
not(xor(Y,X_378)) = xor(Y,not(X_378)),
inference(subst,[],[refute_0_1137:[bind(X_333,$fot(Y)),bind(X_334,$fot(X_378))]]) ).
cnf(refute_0_3183,plain,
( not(xor(Y,X_378)) != xor(Y,not(X_378))
| xor(Y,not(X_378)) = not(xor(Y,X_378)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(xor(Y,X_378)))),bind(Y0,$fot(xor(Y,not(X_378))))]]) ).
cnf(refute_0_3184,plain,
xor(Y,not(X_378)) = not(xor(Y,X_378)),
inference(resolve,[$cnf( $equal(not(xor(Y,X_378)),xor(Y,not(X_378))) )],[refute_0_3182,refute_0_3183]) ).
cnf(refute_0_3185,plain,
( xor(Y,not(X_378)) != not(xor(Y,X_378))
| xor(not(X_378),Y) != xor(Y,not(X_378))
| xor(not(X_378),Y) = not(xor(Y,X_378)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(not(X_378),Y),xor(Y,not(X_378))) ),[1],$fot(not(xor(Y,X_378)))]]) ).
cnf(refute_0_3186,plain,
( xor(not(X_378),Y) != xor(Y,not(X_378))
| xor(not(X_378),Y) = not(xor(Y,X_378)) ),
inference(resolve,[$cnf( $equal(xor(Y,not(X_378)),not(xor(Y,X_378))) )],[refute_0_3184,refute_0_3185]) ).
cnf(refute_0_3187,plain,
xor(not(X_378),Y) = not(xor(Y,X_378)),
inference(resolve,[$cnf( $equal(xor(not(X_378),Y),xor(Y,not(X_378))) )],[refute_0_3181,refute_0_3186]) ).
cnf(refute_0_3188,plain,
xor(not(X_378),Y) = not(xor(X_378,Y)),
inference(subst,[],[refute_0_2075:[bind(X_63,$fot(X_378))]]) ).
cnf(refute_0_3189,plain,
( xor(not(X_378),Y) != not(xor(Y,X_378))
| xor(not(X_378),Y) != not(xor(X_378,Y))
| not(xor(X_378,Y)) = not(xor(Y,X_378)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(not(X_378),Y),not(xor(Y,X_378))) ),[0],$fot(not(xor(X_378,Y)))]]) ).
cnf(refute_0_3190,plain,
( xor(not(X_378),Y) != not(xor(Y,X_378))
| not(xor(X_378,Y)) = not(xor(Y,X_378)) ),
inference(resolve,[$cnf( $equal(xor(not(X_378),Y),not(xor(X_378,Y))) )],[refute_0_3188,refute_0_3189]) ).
cnf(refute_0_3191,plain,
not(xor(X_378,Y)) = not(xor(Y,X_378)),
inference(resolve,[$cnf( $equal(xor(not(X_378),Y),not(xor(Y,X_378))) )],[refute_0_3187,refute_0_3190]) ).
cnf(refute_0_3192,plain,
( not(xor(X_378,Y)) != not(xor(Y,X_378))
| not(xor(Y,X_378)) = not(xor(X_378,Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(xor(X_378,Y)))),bind(Y0,$fot(not(xor(Y,X_378))))]]) ).
cnf(refute_0_3193,plain,
not(xor(Y,X_378)) = not(xor(X_378,Y)),
inference(resolve,[$cnf( $equal(not(xor(X_378,Y)),not(xor(Y,X_378))) )],[refute_0_3191,refute_0_3192]) ).
cnf(refute_0_3194,plain,
not(xor(or(cin,t1),carry_def)) = not(xor(carry_def,or(cin,t1))),
inference(subst,[],[refute_0_3193:[bind(Y,$fot(or(cin,t1))),bind(X_378,$fot(carry_def))]]) ).
cnf(refute_0_3195,plain,
( not(xor(carry_def,or(cin,t1))) != and(carry_def,or(cin,t1))
| not(xor(or(cin,t1),carry_def)) != not(xor(carry_def,or(cin,t1)))
| not(xor(or(cin,t1),carry_def)) = and(carry_def,or(cin,t1)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(or(cin,t1),carry_def)))),bind(Y0,$fot(not(xor(carry_def,or(cin,t1))))),bind(Z0,$fot(and(carry_def,or(cin,t1))))]]) ).
cnf(refute_0_3196,plain,
( not(xor(carry_def,or(cin,t1))) != and(carry_def,or(cin,t1))
| not(xor(or(cin,t1),carry_def)) = and(carry_def,or(cin,t1)) ),
inference(resolve,[$cnf( $equal(not(xor(or(cin,t1),carry_def)),not(xor(carry_def,or(cin,t1)))) )],[refute_0_3194,refute_0_3195]) ).
cnf(refute_0_3197,plain,
not(xor(or(cin,t1),carry_def)) = and(carry_def,or(cin,t1)),
inference(resolve,[$cnf( $equal(not(xor(carry_def,or(cin,t1))),and(carry_def,or(cin,t1))) )],[refute_0_3180,refute_0_3196]) ).
cnf(refute_0_3198,plain,
xor(or(cin,t1),not(carry_def)) = not(xor(or(cin,t1),carry_def)),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(or(cin,t1))),bind(X_334,$fot(carry_def))]]) ).
cnf(refute_0_3199,plain,
( not(xor(or(cin,t1),carry_def)) != and(carry_def,or(cin,t1))
| xor(or(cin,t1),not(carry_def)) != not(xor(or(cin,t1),carry_def))
| xor(or(cin,t1),not(carry_def)) = and(carry_def,or(cin,t1)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(or(cin,t1),not(carry_def)))),bind(Y0,$fot(not(xor(or(cin,t1),carry_def)))),bind(Z0,$fot(and(carry_def,or(cin,t1))))]]) ).
cnf(refute_0_3200,plain,
( not(xor(or(cin,t1),carry_def)) != and(carry_def,or(cin,t1))
| xor(or(cin,t1),not(carry_def)) = and(carry_def,or(cin,t1)) ),
inference(resolve,[$cnf( $equal(xor(or(cin,t1),not(carry_def)),not(xor(or(cin,t1),carry_def))) )],[refute_0_3198,refute_0_3199]) ).
cnf(refute_0_3201,plain,
xor(or(cin,t1),not(carry_def)) = and(carry_def,or(cin,t1)),
inference(resolve,[$cnf( $equal(not(xor(or(cin,t1),carry_def)),and(carry_def,or(cin,t1))) )],[refute_0_3197,refute_0_3200]) ).
cnf(refute_0_3202,plain,
( xor(or(cin,t1),not(carry_def)) != and(carry_def,or(cin,t1))
| xor(or(cin,t1),not(carry_def)) != and(cin,or(a,b))
| and(carry_def,or(cin,t1)) = and(cin,or(a,b)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(or(cin,t1),not(carry_def)),and(cin,or(a,b))) ),[0],$fot(and(carry_def,or(cin,t1)))]]) ).
cnf(refute_0_3203,plain,
( xor(or(cin,t1),not(carry_def)) != and(cin,or(a,b))
| and(carry_def,or(cin,t1)) = and(cin,or(a,b)) ),
inference(resolve,[$cnf( $equal(xor(or(cin,t1),not(carry_def)),and(carry_def,or(cin,t1))) )],[refute_0_3201,refute_0_3202]) ).
cnf(refute_0_3204,plain,
and(carry_def,or(cin,t1)) = and(cin,or(a,b)),
inference(resolve,[$cnf( $equal(xor(or(cin,t1),not(carry_def)),and(cin,or(a,b))) )],[refute_0_3131,refute_0_3203]) ).
cnf(refute_0_3205,plain,
and(and(carry_def,or(a,b)),cin) = and(cin,and(carry_def,or(a,b))),
inference(subst,[],[and_commutative:[bind(X,$fot(and(carry_def,or(a,b)))),bind(Y,$fot(cin))]]) ).
cnf(refute_0_3206,plain,
and(and(cin,or(a,b)),or(not(or(cin,t1)),and(cin,or(a,b)))) = and(cin,or(a,b)),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(and(cin,or(a,b)))),bind(X_20,$fot(not(or(cin,t1))))]]) ).
cnf(refute_0_3207,plain,
( and(and(cin,or(a,b)),or(not(or(cin,t1)),and(cin,or(a,b)))) != and(cin,or(a,b))
| or(not(or(cin,t1)),and(cin,or(a,b))) != carry_def
| and(and(cin,or(a,b)),carry_def) = and(cin,or(a,b)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(cin,or(a,b)),or(not(or(cin,t1)),and(cin,or(a,b)))),and(cin,or(a,b))) ),[0,1],$fot(carry_def)]]) ).
cnf(refute_0_3208,plain,
( and(and(cin,or(a,b)),or(not(or(cin,t1)),and(cin,or(a,b)))) != and(cin,or(a,b))
| and(and(cin,or(a,b)),carry_def) = and(cin,or(a,b)) ),
inference(resolve,[$cnf( $equal(or(not(or(cin,t1)),and(cin,or(a,b))),carry_def) )],[refute_0_2784,refute_0_3207]) ).
cnf(refute_0_3209,plain,
and(and(cin,or(a,b)),carry_def) = and(cin,or(a,b)),
inference(resolve,[$cnf( $equal(and(and(cin,or(a,b)),or(not(or(cin,t1)),and(cin,or(a,b)))),and(cin,or(a,b))) )],[refute_0_3206,refute_0_3208]) ).
cnf(refute_0_3210,plain,
and(or(a,b),carry_def) = and(carry_def,or(a,b)),
inference(subst,[],[refute_0_116:[bind(X,$fot(carry_def)),bind(Y,$fot(or(a,b)))]]) ).
cnf(refute_0_3211,plain,
and(cin,and(or(a,b),carry_def)) = and(cin,and(or(a,b),carry_def)),
introduced(tautology,[refl,[$fot(and(cin,and(or(a,b),carry_def)))]]) ).
cnf(refute_0_3212,plain,
( and(cin,and(or(a,b),carry_def)) != and(cin,and(or(a,b),carry_def))
| and(or(a,b),carry_def) != and(carry_def,or(a,b))
| and(cin,and(or(a,b),carry_def)) = and(cin,and(carry_def,or(a,b))) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,and(or(a,b),carry_def)),and(cin,and(or(a,b),carry_def))) ),[1,1],$fot(and(carry_def,or(a,b)))]]) ).
cnf(refute_0_3213,plain,
( and(or(a,b),carry_def) != and(carry_def,or(a,b))
| and(cin,and(or(a,b),carry_def)) = and(cin,and(carry_def,or(a,b))) ),
inference(resolve,[$cnf( $equal(and(cin,and(or(a,b),carry_def)),and(cin,and(or(a,b),carry_def))) )],[refute_0_3211,refute_0_3212]) ).
cnf(refute_0_3214,plain,
and(cin,and(or(a,b),carry_def)) = and(cin,and(carry_def,or(a,b))),
inference(resolve,[$cnf( $equal(and(or(a,b),carry_def),and(carry_def,or(a,b))) )],[refute_0_3210,refute_0_3213]) ).
cnf(refute_0_3215,plain,
and(and(cin,or(a,b)),carry_def) = and(cin,and(or(a,b),carry_def)),
inference(subst,[],[and_associative:[bind(X,$fot(cin)),bind(Y,$fot(or(a,b))),bind(Z,$fot(carry_def))]]) ).
cnf(refute_0_3216,plain,
( and(and(cin,or(a,b)),carry_def) != and(cin,and(or(a,b),carry_def))
| and(cin,and(or(a,b),carry_def)) != and(cin,and(carry_def,or(a,b)))
| and(and(cin,or(a,b)),carry_def) = and(cin,and(carry_def,or(a,b))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(cin,or(a,b)),carry_def))),bind(Y0,$fot(and(cin,and(or(a,b),carry_def)))),bind(Z0,$fot(and(cin,and(carry_def,or(a,b)))))]]) ).
cnf(refute_0_3217,plain,
( and(cin,and(or(a,b),carry_def)) != and(cin,and(carry_def,or(a,b)))
| and(and(cin,or(a,b)),carry_def) = and(cin,and(carry_def,or(a,b))) ),
inference(resolve,[$cnf( $equal(and(and(cin,or(a,b)),carry_def),and(cin,and(or(a,b),carry_def))) )],[refute_0_3215,refute_0_3216]) ).
cnf(refute_0_3218,plain,
and(and(cin,or(a,b)),carry_def) = and(cin,and(carry_def,or(a,b))),
inference(resolve,[$cnf( $equal(and(cin,and(or(a,b),carry_def)),and(cin,and(carry_def,or(a,b)))) )],[refute_0_3214,refute_0_3217]) ).
cnf(refute_0_3219,plain,
( and(and(cin,or(a,b)),carry_def) != and(cin,and(carry_def,or(a,b)))
| and(and(cin,or(a,b)),carry_def) != and(cin,or(a,b))
| and(cin,and(carry_def,or(a,b))) = and(cin,or(a,b)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(cin,or(a,b)),carry_def),and(cin,or(a,b))) ),[0],$fot(and(cin,and(carry_def,or(a,b))))]]) ).
cnf(refute_0_3220,plain,
( and(and(cin,or(a,b)),carry_def) != and(cin,or(a,b))
| and(cin,and(carry_def,or(a,b))) = and(cin,or(a,b)) ),
inference(resolve,[$cnf( $equal(and(and(cin,or(a,b)),carry_def),and(cin,and(carry_def,or(a,b)))) )],[refute_0_3218,refute_0_3219]) ).
cnf(refute_0_3221,plain,
and(cin,and(carry_def,or(a,b))) = and(cin,or(a,b)),
inference(resolve,[$cnf( $equal(and(and(cin,or(a,b)),carry_def),and(cin,or(a,b))) )],[refute_0_3209,refute_0_3220]) ).
cnf(refute_0_3222,plain,
( and(and(carry_def,or(a,b)),cin) != and(cin,and(carry_def,or(a,b)))
| and(cin,and(carry_def,or(a,b))) != and(cin,or(a,b))
| and(and(carry_def,or(a,b)),cin) = and(cin,or(a,b)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(and(carry_def,or(a,b)),cin),and(cin,or(a,b))) ),[0],$fot(and(cin,and(carry_def,or(a,b))))]]) ).
cnf(refute_0_3223,plain,
( and(and(carry_def,or(a,b)),cin) != and(cin,and(carry_def,or(a,b)))
| and(and(carry_def,or(a,b)),cin) = and(cin,or(a,b)) ),
inference(resolve,[$cnf( $equal(and(cin,and(carry_def,or(a,b))),and(cin,or(a,b))) )],[refute_0_3221,refute_0_3222]) ).
cnf(refute_0_3224,plain,
and(and(carry_def,or(a,b)),cin) = and(cin,or(a,b)),
inference(resolve,[$cnf( $equal(and(and(carry_def,or(a,b)),cin),and(cin,and(carry_def,or(a,b)))) )],[refute_0_3205,refute_0_3223]) ).
cnf(refute_0_3225,plain,
and(or(a,b),cin) = and(cin,or(a,b)),
inference(subst,[],[refute_0_116:[bind(X,$fot(cin)),bind(Y,$fot(or(a,b)))]]) ).
cnf(refute_0_3226,plain,
and(carry_def,and(or(a,b),cin)) = and(carry_def,and(or(a,b),cin)),
introduced(tautology,[refl,[$fot(and(carry_def,and(or(a,b),cin)))]]) ).
cnf(refute_0_3227,plain,
( and(carry_def,and(or(a,b),cin)) != and(carry_def,and(or(a,b),cin))
| and(or(a,b),cin) != and(cin,or(a,b))
| and(carry_def,and(or(a,b),cin)) = and(carry_def,and(cin,or(a,b))) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry_def,and(or(a,b),cin)),and(carry_def,and(or(a,b),cin))) ),[1,1],$fot(and(cin,or(a,b)))]]) ).
cnf(refute_0_3228,plain,
( and(or(a,b),cin) != and(cin,or(a,b))
| and(carry_def,and(or(a,b),cin)) = and(carry_def,and(cin,or(a,b))) ),
inference(resolve,[$cnf( $equal(and(carry_def,and(or(a,b),cin)),and(carry_def,and(or(a,b),cin))) )],[refute_0_3226,refute_0_3227]) ).
cnf(refute_0_3229,plain,
and(carry_def,and(or(a,b),cin)) = and(carry_def,and(cin,or(a,b))),
inference(resolve,[$cnf( $equal(and(or(a,b),cin),and(cin,or(a,b))) )],[refute_0_3225,refute_0_3228]) ).
cnf(refute_0_3230,plain,
and(and(carry_def,or(a,b)),cin) = and(carry_def,and(or(a,b),cin)),
inference(subst,[],[and_associative:[bind(X,$fot(carry_def)),bind(Y,$fot(or(a,b))),bind(Z,$fot(cin))]]) ).
cnf(refute_0_3231,plain,
( and(and(carry_def,or(a,b)),cin) != and(carry_def,and(or(a,b),cin))
| and(carry_def,and(or(a,b),cin)) != and(carry_def,and(cin,or(a,b)))
| and(and(carry_def,or(a,b)),cin) = and(carry_def,and(cin,or(a,b))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(carry_def,or(a,b)),cin))),bind(Y0,$fot(and(carry_def,and(or(a,b),cin)))),bind(Z0,$fot(and(carry_def,and(cin,or(a,b)))))]]) ).
cnf(refute_0_3232,plain,
( and(carry_def,and(or(a,b),cin)) != and(carry_def,and(cin,or(a,b)))
| and(and(carry_def,or(a,b)),cin) = and(carry_def,and(cin,or(a,b))) ),
inference(resolve,[$cnf( $equal(and(and(carry_def,or(a,b)),cin),and(carry_def,and(or(a,b),cin))) )],[refute_0_3230,refute_0_3231]) ).
cnf(refute_0_3233,plain,
and(and(carry_def,or(a,b)),cin) = and(carry_def,and(cin,or(a,b))),
inference(resolve,[$cnf( $equal(and(carry_def,and(or(a,b),cin)),and(carry_def,and(cin,or(a,b)))) )],[refute_0_3229,refute_0_3232]) ).
cnf(refute_0_3234,plain,
( and(and(carry_def,or(a,b)),cin) != and(carry_def,and(cin,or(a,b)))
| and(and(carry_def,or(a,b)),cin) != and(cin,or(a,b))
| and(carry_def,and(cin,or(a,b))) = and(cin,or(a,b)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(carry_def,or(a,b)),cin),and(cin,or(a,b))) ),[0],$fot(and(carry_def,and(cin,or(a,b))))]]) ).
cnf(refute_0_3235,plain,
( and(and(carry_def,or(a,b)),cin) != and(cin,or(a,b))
| and(carry_def,and(cin,or(a,b))) = and(cin,or(a,b)) ),
inference(resolve,[$cnf( $equal(and(and(carry_def,or(a,b)),cin),and(carry_def,and(cin,or(a,b)))) )],[refute_0_3233,refute_0_3234]) ).
cnf(refute_0_3236,plain,
and(carry_def,and(cin,or(a,b))) = and(cin,or(a,b)),
inference(resolve,[$cnf( $equal(and(and(carry_def,or(a,b)),cin),and(cin,or(a,b))) )],[refute_0_3224,refute_0_3235]) ).
cnf(refute_0_3237,plain,
and(and(X_221,X_221),X_222) = and(X_221,and(X_221,X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(X_221)),bind(Y,$fot(X_221)),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_3238,plain,
and(X_221,X_221) = X_221,
inference(subst,[],[and_idempotent:[bind(X,$fot(X_221))]]) ).
cnf(refute_0_3239,plain,
( and(X_221,X_221) != X_221
| and(and(X_221,X_221),X_222) != and(X_221,and(X_221,X_222))
| and(X_221,X_222) = and(X_221,and(X_221,X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X_221,X_221),X_222),and(X_221,and(X_221,X_222))) ),[0,0],$fot(X_221)]]) ).
cnf(refute_0_3240,plain,
( and(and(X_221,X_221),X_222) != and(X_221,and(X_221,X_222))
| and(X_221,X_222) = and(X_221,and(X_221,X_222)) ),
inference(resolve,[$cnf( $equal(and(X_221,X_221),X_221) )],[refute_0_3238,refute_0_3239]) ).
cnf(refute_0_3241,plain,
and(X_221,X_222) = and(X_221,and(X_221,X_222)),
inference(resolve,[$cnf( $equal(and(and(X_221,X_221),X_222),and(X_221,and(X_221,X_222))) )],[refute_0_3237,refute_0_3240]) ).
cnf(refute_0_3242,plain,
( and(X_221,X_222) != and(X_221,and(X_221,X_222))
| and(X_221,and(X_221,X_222)) = and(X_221,X_222) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X_221,X_222))),bind(Y0,$fot(and(X_221,and(X_221,X_222))))]]) ).
cnf(refute_0_3243,plain,
and(X_221,and(X_221,X_222)) = and(X_221,X_222),
inference(resolve,[$cnf( $equal(and(X_221,X_222),and(X_221,and(X_221,X_222))) )],[refute_0_3241,refute_0_3242]) ).
cnf(refute_0_3244,plain,
and(carry_def,and(carry_def,cin)) = and(carry_def,cin),
inference(subst,[],[refute_0_3243:[bind(X_221,$fot(carry_def)),bind(X_222,$fot(cin))]]) ).
cnf(refute_0_3245,plain,
and(carry_def,and(cin,carry_def)) = and(carry_def,and(carry_def,cin)),
inference(subst,[],[refute_0_2637:[bind(X_220,$fot(carry_def)),bind(X_221,$fot(carry_def)),bind(X_222,$fot(cin))]]) ).
cnf(refute_0_3246,plain,
( and(carry_def,and(carry_def,cin)) != and(carry_def,cin)
| and(carry_def,and(cin,carry_def)) != and(carry_def,and(carry_def,cin))
| and(carry_def,and(cin,carry_def)) = and(carry_def,cin) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(carry_def,and(cin,carry_def)))),bind(Y0,$fot(and(carry_def,and(carry_def,cin)))),bind(Z0,$fot(and(carry_def,cin)))]]) ).
cnf(refute_0_3247,plain,
( and(carry_def,and(carry_def,cin)) != and(carry_def,cin)
| and(carry_def,and(cin,carry_def)) = and(carry_def,cin) ),
inference(resolve,[$cnf( $equal(and(carry_def,and(cin,carry_def)),and(carry_def,and(carry_def,cin))) )],[refute_0_3245,refute_0_3246]) ).
cnf(refute_0_3248,plain,
and(carry_def,and(cin,carry_def)) = and(carry_def,cin),
inference(resolve,[$cnf( $equal(and(carry_def,and(carry_def,cin)),and(carry_def,cin)) )],[refute_0_3244,refute_0_3247]) ).
cnf(refute_0_3249,plain,
and(and(X_220,carry_def),and(cin,or(a,b))) = and(X_220,and(carry_def,and(cin,or(a,b)))),
inference(subst,[],[and_associative:[bind(X,$fot(X_220)),bind(Y,$fot(carry_def)),bind(Z,$fot(and(cin,or(a,b))))]]) ).
cnf(refute_0_3250,plain,
( and(and(X_220,carry_def),and(cin,or(a,b))) != and(X_220,and(carry_def,and(cin,or(a,b))))
| and(carry_def,and(cin,or(a,b))) != and(cin,or(a,b))
| and(and(X_220,carry_def),and(cin,or(a,b))) = and(X_220,and(cin,or(a,b))) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X_220,carry_def),and(cin,or(a,b))),and(X_220,and(carry_def,and(cin,or(a,b))))) ),[1,1],$fot(and(cin,or(a,b)))]]) ).
cnf(refute_0_3251,plain,
( and(and(X_220,carry_def),and(cin,or(a,b))) != and(X_220,and(carry_def,and(cin,or(a,b))))
| and(and(X_220,carry_def),and(cin,or(a,b))) = and(X_220,and(cin,or(a,b))) ),
inference(resolve,[$cnf( $equal(and(carry_def,and(cin,or(a,b))),and(cin,or(a,b))) )],[refute_0_3236,refute_0_3250]) ).
cnf(refute_0_3252,plain,
and(and(X_220,carry_def),and(cin,or(a,b))) = and(X_220,and(cin,or(a,b))),
inference(resolve,[$cnf( $equal(and(and(X_220,carry_def),and(cin,or(a,b))),and(X_220,and(carry_def,and(cin,or(a,b))))) )],[refute_0_3249,refute_0_3251]) ).
cnf(refute_0_3253,plain,
and(and(X_220,carry_def),or(a,b)) = and(X_220,and(carry_def,or(a,b))),
inference(subst,[],[and_associative:[bind(X,$fot(X_220)),bind(Y,$fot(carry_def)),bind(Z,$fot(or(a,b)))]]) ).
cnf(refute_0_3254,plain,
and(cin,and(and(X_220,carry_def),or(a,b))) = and(cin,and(and(X_220,carry_def),or(a,b))),
introduced(tautology,[refl,[$fot(and(cin,and(and(X_220,carry_def),or(a,b))))]]) ).
cnf(refute_0_3255,plain,
( and(and(X_220,carry_def),or(a,b)) != and(X_220,and(carry_def,or(a,b)))
| and(cin,and(and(X_220,carry_def),or(a,b))) != and(cin,and(and(X_220,carry_def),or(a,b)))
| and(cin,and(and(X_220,carry_def),or(a,b))) = and(cin,and(X_220,and(carry_def,or(a,b)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,and(and(X_220,carry_def),or(a,b))),and(cin,and(and(X_220,carry_def),or(a,b)))) ),[1,1],$fot(and(X_220,and(carry_def,or(a,b))))]]) ).
cnf(refute_0_3256,plain,
( and(and(X_220,carry_def),or(a,b)) != and(X_220,and(carry_def,or(a,b)))
| and(cin,and(and(X_220,carry_def),or(a,b))) = and(cin,and(X_220,and(carry_def,or(a,b)))) ),
inference(resolve,[$cnf( $equal(and(cin,and(and(X_220,carry_def),or(a,b))),and(cin,and(and(X_220,carry_def),or(a,b)))) )],[refute_0_3254,refute_0_3255]) ).
cnf(refute_0_3257,plain,
and(cin,and(and(X_220,carry_def),or(a,b))) = and(cin,and(X_220,and(carry_def,or(a,b)))),
inference(resolve,[$cnf( $equal(and(and(X_220,carry_def),or(a,b)),and(X_220,and(carry_def,or(a,b)))) )],[refute_0_3253,refute_0_3256]) ).
cnf(refute_0_3258,plain,
and(and(X_220,carry_def),and(cin,or(a,b))) = and(cin,and(and(X_220,carry_def),or(a,b))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(and(X_220,carry_def))),bind(X_221,$fot(cin)),bind(X_222,$fot(or(a,b)))]]) ).
cnf(refute_0_3259,plain,
( and(and(X_220,carry_def),and(cin,or(a,b))) != and(cin,and(and(X_220,carry_def),or(a,b)))
| and(cin,and(and(X_220,carry_def),or(a,b))) != and(cin,and(X_220,and(carry_def,or(a,b))))
| and(and(X_220,carry_def),and(cin,or(a,b))) = and(cin,and(X_220,and(carry_def,or(a,b)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(X_220,carry_def),and(cin,or(a,b))))),bind(Y0,$fot(and(cin,and(and(X_220,carry_def),or(a,b))))),bind(Z0,$fot(and(cin,and(X_220,and(carry_def,or(a,b))))))]]) ).
cnf(refute_0_3260,plain,
( and(cin,and(and(X_220,carry_def),or(a,b))) != and(cin,and(X_220,and(carry_def,or(a,b))))
| and(and(X_220,carry_def),and(cin,or(a,b))) = and(cin,and(X_220,and(carry_def,or(a,b)))) ),
inference(resolve,[$cnf( $equal(and(and(X_220,carry_def),and(cin,or(a,b))),and(cin,and(and(X_220,carry_def),or(a,b)))) )],[refute_0_3258,refute_0_3259]) ).
cnf(refute_0_3261,plain,
and(and(X_220,carry_def),and(cin,or(a,b))) = and(cin,and(X_220,and(carry_def,or(a,b)))),
inference(resolve,[$cnf( $equal(and(cin,and(and(X_220,carry_def),or(a,b))),and(cin,and(X_220,and(carry_def,or(a,b))))) )],[refute_0_3257,refute_0_3260]) ).
cnf(refute_0_3262,plain,
( and(and(X_220,carry_def),and(cin,or(a,b))) != and(X_220,and(cin,or(a,b)))
| and(and(X_220,carry_def),and(cin,or(a,b))) != and(cin,and(X_220,and(carry_def,or(a,b))))
| and(cin,and(X_220,and(carry_def,or(a,b)))) = and(X_220,and(cin,or(a,b))) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X_220,carry_def),and(cin,or(a,b))),and(X_220,and(cin,or(a,b)))) ),[0],$fot(and(cin,and(X_220,and(carry_def,or(a,b)))))]]) ).
cnf(refute_0_3263,plain,
( and(and(X_220,carry_def),and(cin,or(a,b))) != and(X_220,and(cin,or(a,b)))
| and(cin,and(X_220,and(carry_def,or(a,b)))) = and(X_220,and(cin,or(a,b))) ),
inference(resolve,[$cnf( $equal(and(and(X_220,carry_def),and(cin,or(a,b))),and(cin,and(X_220,and(carry_def,or(a,b))))) )],[refute_0_3261,refute_0_3262]) ).
cnf(refute_0_3264,plain,
and(cin,and(X_220,and(carry_def,or(a,b)))) = and(X_220,and(cin,or(a,b))),
inference(resolve,[$cnf( $equal(and(and(X_220,carry_def),and(cin,or(a,b))),and(X_220,and(cin,or(a,b)))) )],[refute_0_3252,refute_0_3263]) ).
cnf(refute_0_3265,plain,
and(cin,and(X_220,carry_def)) = and(carry_def,and(cin,X_220)),
inference(subst,[],[refute_0_889:[bind(X,$fot(carry_def)),bind(X_220,$fot(cin)),bind(X_221,$fot(X_220))]]) ).
cnf(refute_0_3266,plain,
or(and(carry_def,or(a,b)),and(cin,and(carry_def,or(a,b)))) = and(carry_def,or(a,b)),
inference(subst,[],[refute_0_222:[bind(X_13,$fot(and(carry_def,or(a,b)))),bind(X_14,$fot(cin))]]) ).
cnf(refute_0_3267,plain,
( and(cin,and(carry_def,or(a,b))) != and(cin,or(a,b))
| or(and(carry_def,or(a,b)),and(cin,and(carry_def,or(a,b)))) != and(carry_def,or(a,b))
| or(and(carry_def,or(a,b)),and(cin,or(a,b))) = and(carry_def,or(a,b)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(carry_def,or(a,b)),and(cin,and(carry_def,or(a,b)))),and(carry_def,or(a,b))) ),[0,1],$fot(and(cin,or(a,b)))]]) ).
cnf(refute_0_3268,plain,
( or(and(carry_def,or(a,b)),and(cin,and(carry_def,or(a,b)))) != and(carry_def,or(a,b))
| or(and(carry_def,or(a,b)),and(cin,or(a,b))) = and(carry_def,or(a,b)) ),
inference(resolve,[$cnf( $equal(and(cin,and(carry_def,or(a,b))),and(cin,or(a,b))) )],[refute_0_3221,refute_0_3267]) ).
cnf(refute_0_3269,plain,
or(and(carry_def,or(a,b)),and(cin,or(a,b))) = and(carry_def,or(a,b)),
inference(resolve,[$cnf( $equal(or(and(carry_def,or(a,b)),and(cin,and(carry_def,or(a,b)))),and(carry_def,or(a,b))) )],[refute_0_3266,refute_0_3268]) ).
cnf(refute_0_3270,plain,
and(carry_def,ll1) = carry_def,
inference(subst,[],[and_identity:[bind(X,$fot(carry_def))]]) ).
cnf(refute_0_3271,plain,
or(cin,ll1) = ll1,
inference(subst,[],[or_boundedness:[bind(X,$fot(cin))]]) ).
cnf(refute_0_3272,plain,
or(a,or(not(not(t1)),X_39)) = or(a,or(not(t1),or(not(not(t1)),X_39))),
inference(subst,[],[refute_0_2965:[bind(X_39,$fot(or(not(not(t1)),X_39)))]]) ).
cnf(refute_0_3273,plain,
ll1 = or(not(t1),or(not(not(t1)),X_39)),
inference(subst,[],[refute_0_632:[bind(X_37,$fot(not(t1)))]]) ).
cnf(refute_0_3274,plain,
( ll1 != or(not(t1),or(not(not(t1)),X_39))
| or(not(t1),or(not(not(t1)),X_39)) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(not(t1),or(not(not(t1)),X_39))))]]) ).
cnf(refute_0_3275,plain,
or(not(t1),or(not(not(t1)),X_39)) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(not(t1),or(not(not(t1)),X_39))) )],[refute_0_3273,refute_0_3274]) ).
cnf(refute_0_3276,plain,
( or(a,or(not(not(t1)),X_39)) != or(a,or(not(t1),or(not(not(t1)),X_39)))
| or(not(t1),or(not(not(t1)),X_39)) != ll1
| or(a,or(not(not(t1)),X_39)) = or(a,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(a,or(not(not(t1)),X_39)),or(a,or(not(t1),or(not(not(t1)),X_39)))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_3277,plain,
( or(a,or(not(not(t1)),X_39)) != or(a,or(not(t1),or(not(not(t1)),X_39)))
| or(a,or(not(not(t1)),X_39)) = or(a,ll1) ),
inference(resolve,[$cnf( $equal(or(not(t1),or(not(not(t1)),X_39)),ll1) )],[refute_0_3275,refute_0_3276]) ).
cnf(refute_0_3278,plain,
or(a,or(not(not(t1)),X_39)) = or(a,ll1),
inference(resolve,[$cnf( $equal(or(a,or(not(not(t1)),X_39)),or(a,or(not(t1),or(not(not(t1)),X_39)))) )],[refute_0_3272,refute_0_3277]) ).
cnf(refute_0_3279,plain,
not(not(t1)) = t1,
inference(subst,[],[not_involution:[bind(X,$fot(t1))]]) ).
cnf(refute_0_3280,plain,
or(not(not(t1)),X_39) = or(not(not(t1)),X_39),
introduced(tautology,[refl,[$fot(or(not(not(t1)),X_39))]]) ).
cnf(refute_0_3281,plain,
( not(not(t1)) != t1
| or(not(not(t1)),X_39) != or(not(not(t1)),X_39)
| or(not(not(t1)),X_39) = or(t1,X_39) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(not(t1)),X_39),or(not(not(t1)),X_39)) ),[1,0],$fot(t1)]]) ).
cnf(refute_0_3282,plain,
( not(not(t1)) != t1
| or(not(not(t1)),X_39) = or(t1,X_39) ),
inference(resolve,[$cnf( $equal(or(not(not(t1)),X_39),or(not(not(t1)),X_39)) )],[refute_0_3280,refute_0_3281]) ).
cnf(refute_0_3283,plain,
or(not(not(t1)),X_39) = or(t1,X_39),
inference(resolve,[$cnf( $equal(not(not(t1)),t1) )],[refute_0_3279,refute_0_3282]) ).
cnf(refute_0_3284,plain,
or(a,or(not(not(t1)),X_39)) = or(a,or(not(not(t1)),X_39)),
introduced(tautology,[refl,[$fot(or(a,or(not(not(t1)),X_39)))]]) ).
cnf(refute_0_3285,plain,
( or(a,or(not(not(t1)),X_39)) != or(a,or(not(not(t1)),X_39))
| or(not(not(t1)),X_39) != or(t1,X_39)
| or(a,or(not(not(t1)),X_39)) = or(a,or(t1,X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(a,or(not(not(t1)),X_39)),or(a,or(not(not(t1)),X_39))) ),[1,1],$fot(or(t1,X_39))]]) ).
cnf(refute_0_3286,plain,
( or(not(not(t1)),X_39) != or(t1,X_39)
| or(a,or(not(not(t1)),X_39)) = or(a,or(t1,X_39)) ),
inference(resolve,[$cnf( $equal(or(a,or(not(not(t1)),X_39)),or(a,or(not(not(t1)),X_39))) )],[refute_0_3284,refute_0_3285]) ).
cnf(refute_0_3287,plain,
or(a,or(not(not(t1)),X_39)) = or(a,or(t1,X_39)),
inference(resolve,[$cnf( $equal(or(not(not(t1)),X_39),or(t1,X_39)) )],[refute_0_3283,refute_0_3286]) ).
cnf(refute_0_3288,plain,
( or(a,or(not(not(t1)),X_39)) != or(a,ll1)
| or(a,or(not(not(t1)),X_39)) != or(a,or(t1,X_39))
| or(a,or(t1,X_39)) = or(a,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(a,or(not(not(t1)),X_39)),or(a,ll1)) ),[0],$fot(or(a,or(t1,X_39)))]]) ).
cnf(refute_0_3289,plain,
( or(a,or(not(not(t1)),X_39)) != or(a,ll1)
| or(a,or(t1,X_39)) = or(a,ll1) ),
inference(resolve,[$cnf( $equal(or(a,or(not(not(t1)),X_39)),or(a,or(t1,X_39))) )],[refute_0_3287,refute_0_3288]) ).
cnf(refute_0_3290,plain,
or(a,ll1) = ll1,
inference(subst,[],[or_boundedness:[bind(X,$fot(a))]]) ).
cnf(refute_0_3291,plain,
( or(a,ll1) != ll1
| or(a,or(t1,X_39)) != or(a,ll1)
| or(a,or(t1,X_39)) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(a,or(t1,X_39)),or(a,ll1)) ),[1],$fot(ll1)]]) ).
cnf(refute_0_3292,plain,
( or(a,or(t1,X_39)) != or(a,ll1)
| or(a,or(t1,X_39)) = ll1 ),
inference(resolve,[$cnf( $equal(or(a,ll1),ll1) )],[refute_0_3290,refute_0_3291]) ).
cnf(refute_0_3293,plain,
( or(a,or(not(not(t1)),X_39)) != or(a,ll1)
| or(a,or(t1,X_39)) = ll1 ),
inference(resolve,[$cnf( $equal(or(a,or(t1,X_39)),or(a,ll1)) )],[refute_0_3289,refute_0_3292]) ).
cnf(refute_0_3294,plain,
or(a,or(t1,X_39)) = ll1,
inference(resolve,[$cnf( $equal(or(a,or(not(not(t1)),X_39)),or(a,ll1)) )],[refute_0_3278,refute_0_3293]) ).
cnf(refute_0_3295,plain,
or(a,or(t1,X_81)) = ll1,
inference(subst,[],[refute_0_3294:[bind(X_39,$fot(X_81))]]) ).
cnf(refute_0_3296,plain,
or(X_81,t1) = or(t1,X_81),
inference(subst,[],[or_commutative:[bind(X,$fot(X_81)),bind(Y,$fot(t1))]]) ).
cnf(refute_0_3297,plain,
( or(X_81,t1) != or(t1,X_81)
| or(t1,X_81) = or(X_81,t1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(X_81,t1))),bind(Y0,$fot(or(t1,X_81)))]]) ).
cnf(refute_0_3298,plain,
or(t1,X_81) = or(X_81,t1),
inference(resolve,[$cnf( $equal(or(X_81,t1),or(t1,X_81)) )],[refute_0_3296,refute_0_3297]) ).
cnf(refute_0_3299,plain,
( or(a,or(t1,X_81)) != ll1
| or(t1,X_81) != or(X_81,t1)
| or(a,or(X_81,t1)) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(a,or(t1,X_81)),ll1) ),[0,1],$fot(or(X_81,t1))]]) ).
cnf(refute_0_3300,plain,
( or(a,or(t1,X_81)) != ll1
| or(a,or(X_81,t1)) = ll1 ),
inference(resolve,[$cnf( $equal(or(t1,X_81),or(X_81,t1)) )],[refute_0_3298,refute_0_3299]) ).
cnf(refute_0_3301,plain,
or(a,or(X_81,t1)) = ll1,
inference(resolve,[$cnf( $equal(or(a,or(t1,X_81)),ll1) )],[refute_0_3295,refute_0_3300]) ).
cnf(refute_0_3302,plain,
or(a,or(b,t1)) = ll1,
inference(subst,[],[refute_0_3301:[bind(X_81,$fot(b))]]) ).
cnf(refute_0_3303,plain,
or(or(a,or(b,carry)),Z) = or(a,or(or(b,carry),Z)),
inference(subst,[],[or_associative:[bind(X,$fot(a)),bind(Y,$fot(or(b,carry)))]]) ).
cnf(refute_0_3304,plain,
or(or(a,b),and(carry,or(a,b))) = or(a,b),
inference(subst,[],[refute_0_222:[bind(X_13,$fot(or(a,b))),bind(X_14,$fot(carry))]]) ).
cnf(refute_0_3305,plain,
and(carry,or(carry,t4)) = carry,
inference(subst,[],[and_absorption:[bind(X,$fot(carry)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_3306,plain,
( and(carry,or(carry,t4)) != carry
| or(carry,t4) != or(b,t4)
| and(carry,or(b,t4)) = carry ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,or(carry,t4)),carry) ),[0,1],$fot(or(b,t4))]]) ).
cnf(refute_0_3307,plain,
( and(carry,or(carry,t4)) != carry
| and(carry,or(b,t4)) = carry ),
inference(resolve,[$cnf( $equal(or(carry,t4),or(b,t4)) )],[refute_0_2127,refute_0_3306]) ).
cnf(refute_0_3308,plain,
and(carry,or(b,t4)) = carry,
inference(resolve,[$cnf( $equal(and(carry,or(carry,t4)),carry) )],[refute_0_3305,refute_0_3307]) ).
cnf(refute_0_3309,plain,
or(or(t4,and(b,t3)),and(not(b),or(t4,and(b,t3)))) = or(t4,and(b,t3)),
inference(subst,[],[refute_0_222:[bind(X_13,$fot(or(t4,and(b,t3)))),bind(X_14,$fot(not(b)))]]) ).
cnf(refute_0_3310,plain,
or(and(b,not(or(t4,and(b,t3)))),and(not(b),or(t4,and(b,t3)))) = xor(b,or(t4,and(b,t3))),
inference(subst,[],[refute_0_9:[bind(X,$fot(b)),bind(Y,$fot(or(t4,and(b,t3))))]]) ).
cnf(refute_0_3311,plain,
and(and(X_220,t3),and(b,xor(b,t3))) = and(X_220,and(t3,and(b,xor(b,t3)))),
inference(subst,[],[and_associative:[bind(X,$fot(X_220)),bind(Y,$fot(t3)),bind(Z,$fot(and(b,xor(b,t3))))]]) ).
cnf(refute_0_3312,plain,
and(and(t3,xor(b,t3)),b) = and(b,and(t3,xor(b,t3))),
inference(subst,[],[and_commutative:[bind(X,$fot(and(t3,xor(b,t3)))),bind(Y,$fot(b))]]) ).
cnf(refute_0_3313,plain,
and(and(b,t3),not(and(b,t3))) = ll0,
inference(subst,[],[and_complement:[bind(X,$fot(and(b,t3)))]]) ).
cnf(refute_0_3314,plain,
or(and(b,not(t3)),and(not(b),t3)) = xor(b,t3),
inference(subst,[],[refute_0_9:[bind(X,$fot(b)),bind(Y,$fot(t3))]]) ).
cnf(refute_0_3315,plain,
and(not(t3),or(b,not(t3))) = not(t3),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(not(t3))),bind(X_20,$fot(b))]]) ).
cnf(refute_0_3316,plain,
( and(not(t3),or(b,not(t3))) != not(t3)
| or(b,not(t3)) != b
| and(not(t3),b) = not(t3) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t3),or(b,not(t3))),not(t3)) ),[0,1],$fot(b)]]) ).
cnf(refute_0_3317,plain,
( and(not(t3),or(b,not(t3))) != not(t3)
| and(not(t3),b) = not(t3) ),
inference(resolve,[$cnf( $equal(or(b,not(t3)),b) )],[refute_0_1883,refute_0_3316]) ).
cnf(refute_0_3318,plain,
and(not(t3),b) = not(t3),
inference(resolve,[$cnf( $equal(and(not(t3),or(b,not(t3))),not(t3)) )],[refute_0_3315,refute_0_3317]) ).
cnf(refute_0_3319,plain,
and(not(t3),b) = and(b,not(t3)),
inference(subst,[],[refute_0_116:[bind(X,$fot(b)),bind(Y,$fot(not(t3)))]]) ).
cnf(refute_0_3320,plain,
( and(not(t3),b) != and(b,not(t3))
| and(not(t3),b) != not(t3)
| and(b,not(t3)) = not(t3) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t3),b),not(t3)) ),[0],$fot(and(b,not(t3)))]]) ).
cnf(refute_0_3321,plain,
( and(not(t3),b) != not(t3)
| and(b,not(t3)) = not(t3) ),
inference(resolve,[$cnf( $equal(and(not(t3),b),and(b,not(t3))) )],[refute_0_3319,refute_0_3320]) ).
cnf(refute_0_3322,plain,
and(b,not(t3)) = not(t3),
inference(resolve,[$cnf( $equal(and(not(t3),b),not(t3)) )],[refute_0_3318,refute_0_3321]) ).
cnf(refute_0_3323,plain,
( and(b,not(t3)) != not(t3)
| or(and(b,not(t3)),and(not(b),t3)) != xor(b,t3)
| or(not(t3),and(not(b),t3)) = xor(b,t3) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(b,not(t3)),and(not(b),t3)),xor(b,t3)) ),[0,0],$fot(not(t3))]]) ).
cnf(refute_0_3324,plain,
( or(and(b,not(t3)),and(not(b),t3)) != xor(b,t3)
| or(not(t3),and(not(b),t3)) = xor(b,t3) ),
inference(resolve,[$cnf( $equal(and(b,not(t3)),not(t3)) )],[refute_0_3322,refute_0_3323]) ).
cnf(refute_0_3325,plain,
or(not(t3),and(not(b),t3)) = xor(b,t3),
inference(resolve,[$cnf( $equal(or(and(b,not(t3)),and(not(b),t3)),xor(b,t3)) )],[refute_0_3314,refute_0_3324]) ).
cnf(refute_0_3326,plain,
not(and(t3,b)) = not(and(b,t3)),
inference(subst,[],[refute_0_333:[bind(X_31,$fot(t3)),bind(X_32,$fot(b))]]) ).
cnf(refute_0_3327,plain,
or(not(t3),not(b)) = not(and(t3,b)),
inference(subst,[],[refute_0_147:[bind(X,$fot(t3)),bind(Y,$fot(b))]]) ).
cnf(refute_0_3328,plain,
( not(and(t3,b)) != not(and(b,t3))
| or(not(t3),not(b)) != not(and(t3,b))
| or(not(t3),not(b)) = not(and(b,t3)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t3),not(b)))),bind(Y0,$fot(not(and(t3,b)))),bind(Z0,$fot(not(and(b,t3))))]]) ).
cnf(refute_0_3329,plain,
( not(and(t3,b)) != not(and(b,t3))
| or(not(t3),not(b)) = not(and(b,t3)) ),
inference(resolve,[$cnf( $equal(or(not(t3),not(b)),not(and(t3,b))) )],[refute_0_3327,refute_0_3328]) ).
cnf(refute_0_3330,plain,
or(not(t3),not(b)) = not(and(b,t3)),
inference(resolve,[$cnf( $equal(not(and(t3,b)),not(and(b,t3))) )],[refute_0_3326,refute_0_3329]) ).
cnf(refute_0_3331,plain,
and(not(b),t3) = and(t3,not(b)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t3)),bind(Y,$fot(not(b)))]]) ).
cnf(refute_0_3332,plain,
( and(not(b),t3) != and(t3,not(b))
| and(t3,not(b)) != not(b)
| and(not(b),t3) = not(b) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(b),t3))),bind(Y0,$fot(and(t3,not(b)))),bind(Z0,$fot(not(b)))]]) ).
cnf(refute_0_3333,plain,
( and(t3,not(b)) != not(b)
| and(not(b),t3) = not(b) ),
inference(resolve,[$cnf( $equal(and(not(b),t3),and(t3,not(b))) )],[refute_0_3331,refute_0_3332]) ).
cnf(refute_0_3334,plain,
and(not(b),t3) = not(b),
inference(resolve,[$cnf( $equal(and(t3,not(b)),not(b)) )],[refute_0_1892,refute_0_3333]) ).
cnf(refute_0_3335,plain,
or(not(t3),and(not(b),t3)) = or(not(t3),and(not(b),t3)),
introduced(tautology,[refl,[$fot(or(not(t3),and(not(b),t3)))]]) ).
cnf(refute_0_3336,plain,
( and(not(b),t3) != not(b)
| or(not(t3),and(not(b),t3)) != or(not(t3),and(not(b),t3))
| or(not(t3),and(not(b),t3)) = or(not(t3),not(b)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t3),and(not(b),t3)),or(not(t3),and(not(b),t3))) ),[1,1],$fot(not(b))]]) ).
cnf(refute_0_3337,plain,
( and(not(b),t3) != not(b)
| or(not(t3),and(not(b),t3)) = or(not(t3),not(b)) ),
inference(resolve,[$cnf( $equal(or(not(t3),and(not(b),t3)),or(not(t3),and(not(b),t3))) )],[refute_0_3335,refute_0_3336]) ).
cnf(refute_0_3338,plain,
or(not(t3),and(not(b),t3)) = or(not(t3),not(b)),
inference(resolve,[$cnf( $equal(and(not(b),t3),not(b)) )],[refute_0_3334,refute_0_3337]) ).
cnf(refute_0_3339,plain,
( or(not(t3),and(not(b),t3)) != or(not(t3),not(b))
| or(not(t3),not(b)) != not(and(b,t3))
| or(not(t3),and(not(b),t3)) = not(and(b,t3)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t3),and(not(b),t3)))),bind(Y0,$fot(or(not(t3),not(b)))),bind(Z0,$fot(not(and(b,t3))))]]) ).
cnf(refute_0_3340,plain,
( or(not(t3),not(b)) != not(and(b,t3))
| or(not(t3),and(not(b),t3)) = not(and(b,t3)) ),
inference(resolve,[$cnf( $equal(or(not(t3),and(not(b),t3)),or(not(t3),not(b))) )],[refute_0_3338,refute_0_3339]) ).
cnf(refute_0_3341,plain,
or(not(t3),and(not(b),t3)) = not(and(b,t3)),
inference(resolve,[$cnf( $equal(or(not(t3),not(b)),not(and(b,t3))) )],[refute_0_3330,refute_0_3340]) ).
cnf(refute_0_3342,plain,
( or(not(t3),and(not(b),t3)) != not(and(b,t3))
| or(not(t3),and(not(b),t3)) != xor(b,t3)
| not(and(b,t3)) = xor(b,t3) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t3),and(not(b),t3)),xor(b,t3)) ),[0],$fot(not(and(b,t3)))]]) ).
cnf(refute_0_3343,plain,
( or(not(t3),and(not(b),t3)) != xor(b,t3)
| not(and(b,t3)) = xor(b,t3) ),
inference(resolve,[$cnf( $equal(or(not(t3),and(not(b),t3)),not(and(b,t3))) )],[refute_0_3341,refute_0_3342]) ).
cnf(refute_0_3344,plain,
not(and(b,t3)) = xor(b,t3),
inference(resolve,[$cnf( $equal(or(not(t3),and(not(b),t3)),xor(b,t3)) )],[refute_0_3325,refute_0_3343]) ).
cnf(refute_0_3345,plain,
( and(and(b,t3),not(and(b,t3))) != ll0
| not(and(b,t3)) != xor(b,t3)
| and(and(b,t3),xor(b,t3)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(b,t3),not(and(b,t3))),ll0) ),[0,1],$fot(xor(b,t3))]]) ).
cnf(refute_0_3346,plain,
( and(and(b,t3),not(and(b,t3))) != ll0
| and(and(b,t3),xor(b,t3)) = ll0 ),
inference(resolve,[$cnf( $equal(not(and(b,t3)),xor(b,t3)) )],[refute_0_3344,refute_0_3345]) ).
cnf(refute_0_3347,plain,
and(and(b,t3),xor(b,t3)) = ll0,
inference(resolve,[$cnf( $equal(and(and(b,t3),not(and(b,t3))),ll0) )],[refute_0_3313,refute_0_3346]) ).
cnf(refute_0_3348,plain,
and(and(b,t3),xor(b,t3)) = and(b,and(t3,xor(b,t3))),
inference(subst,[],[and_associative:[bind(X,$fot(b)),bind(Y,$fot(t3)),bind(Z,$fot(xor(b,t3)))]]) ).
cnf(refute_0_3349,plain,
( and(and(b,t3),xor(b,t3)) != and(b,and(t3,xor(b,t3)))
| and(and(b,t3),xor(b,t3)) != ll0
| and(b,and(t3,xor(b,t3))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(b,t3),xor(b,t3)),ll0) ),[0],$fot(and(b,and(t3,xor(b,t3))))]]) ).
cnf(refute_0_3350,plain,
( and(and(b,t3),xor(b,t3)) != ll0
| and(b,and(t3,xor(b,t3))) = ll0 ),
inference(resolve,[$cnf( $equal(and(and(b,t3),xor(b,t3)),and(b,and(t3,xor(b,t3)))) )],[refute_0_3348,refute_0_3349]) ).
cnf(refute_0_3351,plain,
and(b,and(t3,xor(b,t3))) = ll0,
inference(resolve,[$cnf( $equal(and(and(b,t3),xor(b,t3)),ll0) )],[refute_0_3347,refute_0_3350]) ).
cnf(refute_0_3352,plain,
( and(and(t3,xor(b,t3)),b) != and(b,and(t3,xor(b,t3)))
| and(b,and(t3,xor(b,t3))) != ll0
| and(and(t3,xor(b,t3)),b) = ll0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(and(t3,xor(b,t3)),b),ll0) ),[0],$fot(and(b,and(t3,xor(b,t3))))]]) ).
cnf(refute_0_3353,plain,
( and(and(t3,xor(b,t3)),b) != and(b,and(t3,xor(b,t3)))
| and(and(t3,xor(b,t3)),b) = ll0 ),
inference(resolve,[$cnf( $equal(and(b,and(t3,xor(b,t3))),ll0) )],[refute_0_3351,refute_0_3352]) ).
cnf(refute_0_3354,plain,
and(and(t3,xor(b,t3)),b) = ll0,
inference(resolve,[$cnf( $equal(and(and(t3,xor(b,t3)),b),and(b,and(t3,xor(b,t3)))) )],[refute_0_3312,refute_0_3353]) ).
cnf(refute_0_3355,plain,
and(xor(b,t3),b) = and(b,xor(b,t3)),
inference(subst,[],[refute_0_116:[bind(X,$fot(b)),bind(Y,$fot(xor(b,t3)))]]) ).
cnf(refute_0_3356,plain,
and(t3,and(xor(b,t3),b)) = and(t3,and(xor(b,t3),b)),
introduced(tautology,[refl,[$fot(and(t3,and(xor(b,t3),b)))]]) ).
cnf(refute_0_3357,plain,
( and(t3,and(xor(b,t3),b)) != and(t3,and(xor(b,t3),b))
| and(xor(b,t3),b) != and(b,xor(b,t3))
| and(t3,and(xor(b,t3),b)) = and(t3,and(b,xor(b,t3))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,and(xor(b,t3),b)),and(t3,and(xor(b,t3),b))) ),[1,1],$fot(and(b,xor(b,t3)))]]) ).
cnf(refute_0_3358,plain,
( and(xor(b,t3),b) != and(b,xor(b,t3))
| and(t3,and(xor(b,t3),b)) = and(t3,and(b,xor(b,t3))) ),
inference(resolve,[$cnf( $equal(and(t3,and(xor(b,t3),b)),and(t3,and(xor(b,t3),b))) )],[refute_0_3356,refute_0_3357]) ).
cnf(refute_0_3359,plain,
and(t3,and(xor(b,t3),b)) = and(t3,and(b,xor(b,t3))),
inference(resolve,[$cnf( $equal(and(xor(b,t3),b),and(b,xor(b,t3))) )],[refute_0_3355,refute_0_3358]) ).
cnf(refute_0_3360,plain,
and(and(t3,xor(b,t3)),b) = and(t3,and(xor(b,t3),b)),
inference(subst,[],[and_associative:[bind(X,$fot(t3)),bind(Y,$fot(xor(b,t3))),bind(Z,$fot(b))]]) ).
cnf(refute_0_3361,plain,
( and(and(t3,xor(b,t3)),b) != and(t3,and(xor(b,t3),b))
| and(t3,and(xor(b,t3),b)) != and(t3,and(b,xor(b,t3)))
| and(and(t3,xor(b,t3)),b) = and(t3,and(b,xor(b,t3))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(t3,xor(b,t3)),b))),bind(Y0,$fot(and(t3,and(xor(b,t3),b)))),bind(Z0,$fot(and(t3,and(b,xor(b,t3)))))]]) ).
cnf(refute_0_3362,plain,
( and(t3,and(xor(b,t3),b)) != and(t3,and(b,xor(b,t3)))
| and(and(t3,xor(b,t3)),b) = and(t3,and(b,xor(b,t3))) ),
inference(resolve,[$cnf( $equal(and(and(t3,xor(b,t3)),b),and(t3,and(xor(b,t3),b))) )],[refute_0_3360,refute_0_3361]) ).
cnf(refute_0_3363,plain,
and(and(t3,xor(b,t3)),b) = and(t3,and(b,xor(b,t3))),
inference(resolve,[$cnf( $equal(and(t3,and(xor(b,t3),b)),and(t3,and(b,xor(b,t3)))) )],[refute_0_3359,refute_0_3362]) ).
cnf(refute_0_3364,plain,
( and(and(t3,xor(b,t3)),b) != and(t3,and(b,xor(b,t3)))
| and(and(t3,xor(b,t3)),b) != ll0
| and(t3,and(b,xor(b,t3))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t3,xor(b,t3)),b),ll0) ),[0],$fot(and(t3,and(b,xor(b,t3))))]]) ).
cnf(refute_0_3365,plain,
( and(and(t3,xor(b,t3)),b) != ll0
| and(t3,and(b,xor(b,t3))) = ll0 ),
inference(resolve,[$cnf( $equal(and(and(t3,xor(b,t3)),b),and(t3,and(b,xor(b,t3)))) )],[refute_0_3363,refute_0_3364]) ).
cnf(refute_0_3366,plain,
and(t3,and(b,xor(b,t3))) = ll0,
inference(resolve,[$cnf( $equal(and(and(t3,xor(b,t3)),b),ll0) )],[refute_0_3354,refute_0_3365]) ).
cnf(refute_0_3367,plain,
( and(and(X_220,t3),and(b,xor(b,t3))) != and(X_220,and(t3,and(b,xor(b,t3))))
| and(t3,and(b,xor(b,t3))) != ll0
| and(and(X_220,t3),and(b,xor(b,t3))) = and(X_220,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X_220,t3),and(b,xor(b,t3))),and(X_220,and(t3,and(b,xor(b,t3))))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_3368,plain,
( and(and(X_220,t3),and(b,xor(b,t3))) != and(X_220,and(t3,and(b,xor(b,t3))))
| and(and(X_220,t3),and(b,xor(b,t3))) = and(X_220,ll0) ),
inference(resolve,[$cnf( $equal(and(t3,and(b,xor(b,t3))),ll0) )],[refute_0_3366,refute_0_3367]) ).
cnf(refute_0_3369,plain,
and(and(X_220,t3),and(b,xor(b,t3))) = and(X_220,ll0),
inference(resolve,[$cnf( $equal(and(and(X_220,t3),and(b,xor(b,t3))),and(X_220,and(t3,and(b,xor(b,t3))))) )],[refute_0_3311,refute_0_3368]) ).
cnf(refute_0_3370,plain,
and(and(X_220,t3),xor(b,t3)) = and(X_220,and(t3,xor(b,t3))),
inference(subst,[],[and_associative:[bind(X,$fot(X_220)),bind(Y,$fot(t3)),bind(Z,$fot(xor(b,t3)))]]) ).
cnf(refute_0_3371,plain,
and(b,and(and(X_220,t3),xor(b,t3))) = and(b,and(and(X_220,t3),xor(b,t3))),
introduced(tautology,[refl,[$fot(and(b,and(and(X_220,t3),xor(b,t3))))]]) ).
cnf(refute_0_3372,plain,
( and(and(X_220,t3),xor(b,t3)) != and(X_220,and(t3,xor(b,t3)))
| and(b,and(and(X_220,t3),xor(b,t3))) != and(b,and(and(X_220,t3),xor(b,t3)))
| and(b,and(and(X_220,t3),xor(b,t3))) = and(b,and(X_220,and(t3,xor(b,t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(b,and(and(X_220,t3),xor(b,t3))),and(b,and(and(X_220,t3),xor(b,t3)))) ),[1,1],$fot(and(X_220,and(t3,xor(b,t3))))]]) ).
cnf(refute_0_3373,plain,
( and(and(X_220,t3),xor(b,t3)) != and(X_220,and(t3,xor(b,t3)))
| and(b,and(and(X_220,t3),xor(b,t3))) = and(b,and(X_220,and(t3,xor(b,t3)))) ),
inference(resolve,[$cnf( $equal(and(b,and(and(X_220,t3),xor(b,t3))),and(b,and(and(X_220,t3),xor(b,t3)))) )],[refute_0_3371,refute_0_3372]) ).
cnf(refute_0_3374,plain,
and(b,and(and(X_220,t3),xor(b,t3))) = and(b,and(X_220,and(t3,xor(b,t3)))),
inference(resolve,[$cnf( $equal(and(and(X_220,t3),xor(b,t3)),and(X_220,and(t3,xor(b,t3)))) )],[refute_0_3370,refute_0_3373]) ).
cnf(refute_0_3375,plain,
and(and(X_220,t3),and(b,xor(b,t3))) = and(b,and(and(X_220,t3),xor(b,t3))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(and(X_220,t3))),bind(X_221,$fot(b)),bind(X_222,$fot(xor(b,t3)))]]) ).
cnf(refute_0_3376,plain,
( and(and(X_220,t3),and(b,xor(b,t3))) != and(b,and(and(X_220,t3),xor(b,t3)))
| and(b,and(and(X_220,t3),xor(b,t3))) != and(b,and(X_220,and(t3,xor(b,t3))))
| and(and(X_220,t3),and(b,xor(b,t3))) = and(b,and(X_220,and(t3,xor(b,t3)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(X_220,t3),and(b,xor(b,t3))))),bind(Y0,$fot(and(b,and(and(X_220,t3),xor(b,t3))))),bind(Z0,$fot(and(b,and(X_220,and(t3,xor(b,t3))))))]]) ).
cnf(refute_0_3377,plain,
( and(b,and(and(X_220,t3),xor(b,t3))) != and(b,and(X_220,and(t3,xor(b,t3))))
| and(and(X_220,t3),and(b,xor(b,t3))) = and(b,and(X_220,and(t3,xor(b,t3)))) ),
inference(resolve,[$cnf( $equal(and(and(X_220,t3),and(b,xor(b,t3))),and(b,and(and(X_220,t3),xor(b,t3)))) )],[refute_0_3375,refute_0_3376]) ).
cnf(refute_0_3378,plain,
and(and(X_220,t3),and(b,xor(b,t3))) = and(b,and(X_220,and(t3,xor(b,t3)))),
inference(resolve,[$cnf( $equal(and(b,and(and(X_220,t3),xor(b,t3))),and(b,and(X_220,and(t3,xor(b,t3))))) )],[refute_0_3374,refute_0_3377]) ).
cnf(refute_0_3379,plain,
( and(and(X_220,t3),and(b,xor(b,t3))) != and(X_220,ll0)
| and(and(X_220,t3),and(b,xor(b,t3))) != and(b,and(X_220,and(t3,xor(b,t3))))
| and(b,and(X_220,and(t3,xor(b,t3)))) = and(X_220,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X_220,t3),and(b,xor(b,t3))),and(X_220,ll0)) ),[0],$fot(and(b,and(X_220,and(t3,xor(b,t3)))))]]) ).
cnf(refute_0_3380,plain,
( and(and(X_220,t3),and(b,xor(b,t3))) != and(X_220,ll0)
| and(b,and(X_220,and(t3,xor(b,t3)))) = and(X_220,ll0) ),
inference(resolve,[$cnf( $equal(and(and(X_220,t3),and(b,xor(b,t3))),and(b,and(X_220,and(t3,xor(b,t3))))) )],[refute_0_3378,refute_0_3379]) ).
cnf(refute_0_3381,plain,
and(X_220,ll0) = ll0,
inference(subst,[],[and_boundedness:[bind(X,$fot(X_220))]]) ).
cnf(refute_0_3382,plain,
( and(X_220,ll0) != ll0
| and(b,and(X_220,and(t3,xor(b,t3)))) != and(X_220,ll0)
| and(b,and(X_220,and(t3,xor(b,t3)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(b,and(X_220,and(t3,xor(b,t3)))),and(X_220,ll0)) ),[1],$fot(ll0)]]) ).
cnf(refute_0_3383,plain,
( and(b,and(X_220,and(t3,xor(b,t3)))) != and(X_220,ll0)
| and(b,and(X_220,and(t3,xor(b,t3)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(X_220,ll0),ll0) )],[refute_0_3381,refute_0_3382]) ).
cnf(refute_0_3384,plain,
( and(and(X_220,t3),and(b,xor(b,t3))) != and(X_220,ll0)
| and(b,and(X_220,and(t3,xor(b,t3)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(b,and(X_220,and(t3,xor(b,t3)))),and(X_220,ll0)) )],[refute_0_3380,refute_0_3383]) ).
cnf(refute_0_3385,plain,
and(b,and(X_220,and(t3,xor(b,t3)))) = ll0,
inference(resolve,[$cnf( $equal(and(and(X_220,t3),and(b,xor(b,t3))),and(X_220,ll0)) )],[refute_0_3369,refute_0_3384]) ).
cnf(refute_0_3386,plain,
and(b,and(t2,and(t3,xor(b,t3)))) = ll0,
inference(subst,[],[refute_0_3385:[bind(X_220,$fot(t2))]]) ).
cnf(refute_0_3387,plain,
and(not(t4),xor(b,t3)) = and(t2,and(t3,xor(b,t3))),
inference(subst,[],[refute_0_611:[bind(X_222,$fot(xor(b,t3)))]]) ).
cnf(refute_0_3388,plain,
( and(not(t4),xor(b,t3)) != and(t2,and(t3,xor(b,t3)))
| and(t2,and(t3,xor(b,t3))) = and(not(t4),xor(b,t3)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t4),xor(b,t3)))),bind(Y0,$fot(and(t2,and(t3,xor(b,t3)))))]]) ).
cnf(refute_0_3389,plain,
and(t2,and(t3,xor(b,t3))) = and(not(t4),xor(b,t3)),
inference(resolve,[$cnf( $equal(and(not(t4),xor(b,t3)),and(t2,and(t3,xor(b,t3)))) )],[refute_0_3387,refute_0_3388]) ).
cnf(refute_0_3390,plain,
( and(b,and(t2,and(t3,xor(b,t3)))) != ll0
| and(t2,and(t3,xor(b,t3))) != and(not(t4),xor(b,t3))
| and(b,and(not(t4),xor(b,t3))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(b,and(t2,and(t3,xor(b,t3)))),ll0) ),[0,1],$fot(and(not(t4),xor(b,t3)))]]) ).
cnf(refute_0_3391,plain,
( and(b,and(t2,and(t3,xor(b,t3)))) != ll0
| and(b,and(not(t4),xor(b,t3))) = ll0 ),
inference(resolve,[$cnf( $equal(and(t2,and(t3,xor(b,t3))),and(not(t4),xor(b,t3))) )],[refute_0_3389,refute_0_3390]) ).
cnf(refute_0_3392,plain,
and(b,and(not(t4),xor(b,t3))) = ll0,
inference(resolve,[$cnf( $equal(and(b,and(t2,and(t3,xor(b,t3)))),ll0) )],[refute_0_3386,refute_0_3391]) ).
cnf(refute_0_3393,plain,
not(or(X,and(b,t3))) = and(not(X),not(and(b,t3))),
inference(subst,[],[or_demorgan:[bind(Y,$fot(and(b,t3)))]]) ).
cnf(refute_0_3394,plain,
( not(and(b,t3)) != xor(b,t3)
| not(or(X,and(b,t3))) != and(not(X),not(and(b,t3)))
| not(or(X,and(b,t3))) = and(not(X),xor(b,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,and(b,t3))),and(not(X),not(and(b,t3)))) ),[1,1],$fot(xor(b,t3))]]) ).
cnf(refute_0_3395,plain,
( not(or(X,and(b,t3))) != and(not(X),not(and(b,t3)))
| not(or(X,and(b,t3))) = and(not(X),xor(b,t3)) ),
inference(resolve,[$cnf( $equal(not(and(b,t3)),xor(b,t3)) )],[refute_0_3344,refute_0_3394]) ).
cnf(refute_0_3396,plain,
not(or(X,and(b,t3))) = and(not(X),xor(b,t3)),
inference(resolve,[$cnf( $equal(not(or(X,and(b,t3))),and(not(X),not(and(b,t3)))) )],[refute_0_3393,refute_0_3395]) ).
cnf(refute_0_3397,plain,
( not(or(X,and(b,t3))) != and(not(X),xor(b,t3))
| and(not(X),xor(b,t3)) = not(or(X,and(b,t3))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X,and(b,t3))))),bind(Y0,$fot(and(not(X),xor(b,t3))))]]) ).
cnf(refute_0_3398,plain,
and(not(X),xor(b,t3)) = not(or(X,and(b,t3))),
inference(resolve,[$cnf( $equal(not(or(X,and(b,t3))),and(not(X),xor(b,t3))) )],[refute_0_3396,refute_0_3397]) ).
cnf(refute_0_3399,plain,
and(not(t4),xor(b,t3)) = not(or(t4,and(b,t3))),
inference(subst,[],[refute_0_3398:[bind(X,$fot(t4))]]) ).
cnf(refute_0_3400,plain,
and(b,and(not(t4),xor(b,t3))) = and(b,and(not(t4),xor(b,t3))),
introduced(tautology,[refl,[$fot(and(b,and(not(t4),xor(b,t3))))]]) ).
cnf(refute_0_3401,plain,
( and(b,and(not(t4),xor(b,t3))) != and(b,and(not(t4),xor(b,t3)))
| and(not(t4),xor(b,t3)) != not(or(t4,and(b,t3)))
| and(b,and(not(t4),xor(b,t3))) = and(b,not(or(t4,and(b,t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(b,and(not(t4),xor(b,t3))),and(b,and(not(t4),xor(b,t3)))) ),[1,1],$fot(not(or(t4,and(b,t3))))]]) ).
cnf(refute_0_3402,plain,
( and(not(t4),xor(b,t3)) != not(or(t4,and(b,t3)))
| and(b,and(not(t4),xor(b,t3))) = and(b,not(or(t4,and(b,t3)))) ),
inference(resolve,[$cnf( $equal(and(b,and(not(t4),xor(b,t3))),and(b,and(not(t4),xor(b,t3)))) )],[refute_0_3400,refute_0_3401]) ).
cnf(refute_0_3403,plain,
and(b,and(not(t4),xor(b,t3))) = and(b,not(or(t4,and(b,t3)))),
inference(resolve,[$cnf( $equal(and(not(t4),xor(b,t3)),not(or(t4,and(b,t3)))) )],[refute_0_3399,refute_0_3402]) ).
cnf(refute_0_3404,plain,
( and(b,and(not(t4),xor(b,t3))) != and(b,not(or(t4,and(b,t3))))
| and(b,and(not(t4),xor(b,t3))) != ll0
| and(b,not(or(t4,and(b,t3)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(b,and(not(t4),xor(b,t3))),ll0) ),[0],$fot(and(b,not(or(t4,and(b,t3)))))]]) ).
cnf(refute_0_3405,plain,
( and(b,and(not(t4),xor(b,t3))) != ll0
| and(b,not(or(t4,and(b,t3)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(b,and(not(t4),xor(b,t3))),and(b,not(or(t4,and(b,t3))))) )],[refute_0_3403,refute_0_3404]) ).
cnf(refute_0_3406,plain,
and(b,not(or(t4,and(b,t3)))) = ll0,
inference(resolve,[$cnf( $equal(and(b,and(not(t4),xor(b,t3))),ll0) )],[refute_0_3392,refute_0_3405]) ).
cnf(refute_0_3407,plain,
( and(b,not(or(t4,and(b,t3)))) != ll0
| or(and(b,not(or(t4,and(b,t3)))),and(not(b),or(t4,and(b,t3)))) != xor(b,or(t4,and(b,t3)))
| or(ll0,and(not(b),or(t4,and(b,t3)))) = xor(b,or(t4,and(b,t3))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(b,not(or(t4,and(b,t3)))),and(not(b),or(t4,and(b,t3)))),xor(b,or(t4,and(b,t3)))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_3408,plain,
( or(and(b,not(or(t4,and(b,t3)))),and(not(b),or(t4,and(b,t3)))) != xor(b,or(t4,and(b,t3)))
| or(ll0,and(not(b),or(t4,and(b,t3)))) = xor(b,or(t4,and(b,t3))) ),
inference(resolve,[$cnf( $equal(and(b,not(or(t4,and(b,t3)))),ll0) )],[refute_0_3406,refute_0_3407]) ).
cnf(refute_0_3409,plain,
or(ll0,and(not(b),or(t4,and(b,t3)))) = xor(b,or(t4,and(b,t3))),
inference(resolve,[$cnf( $equal(or(and(b,not(or(t4,and(b,t3)))),and(not(b),or(t4,and(b,t3)))),xor(b,or(t4,and(b,t3)))) )],[refute_0_3310,refute_0_3408]) ).
cnf(refute_0_3410,plain,
or(ll0,and(not(b),or(t4,and(b,t3)))) = and(not(b),or(t4,and(b,t3))),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(b),or(t4,and(b,t3)))))]]) ).
cnf(refute_0_3411,plain,
( or(ll0,and(not(b),or(t4,and(b,t3)))) != and(not(b),or(t4,and(b,t3)))
| or(ll0,and(not(b),or(t4,and(b,t3)))) != xor(b,or(t4,and(b,t3)))
| and(not(b),or(t4,and(b,t3))) = xor(b,or(t4,and(b,t3))) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(b),or(t4,and(b,t3)))),xor(b,or(t4,and(b,t3)))) ),[0],$fot(and(not(b),or(t4,and(b,t3))))]]) ).
cnf(refute_0_3412,plain,
( or(ll0,and(not(b),or(t4,and(b,t3)))) != xor(b,or(t4,and(b,t3)))
| and(not(b),or(t4,and(b,t3))) = xor(b,or(t4,and(b,t3))) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(b),or(t4,and(b,t3)))),and(not(b),or(t4,and(b,t3)))) )],[refute_0_3410,refute_0_3411]) ).
cnf(refute_0_3413,plain,
and(not(b),or(t4,and(b,t3))) = xor(b,or(t4,and(b,t3))),
inference(resolve,[$cnf( $equal(or(ll0,and(not(b),or(t4,and(b,t3)))),xor(b,or(t4,and(b,t3)))) )],[refute_0_3409,refute_0_3412]) ).
cnf(refute_0_3414,plain,
( and(not(b),or(t4,and(b,t3))) != xor(b,or(t4,and(b,t3)))
| or(or(t4,and(b,t3)),and(not(b),or(t4,and(b,t3)))) != or(t4,and(b,t3))
| or(or(t4,and(b,t3)),xor(b,or(t4,and(b,t3)))) = or(t4,and(b,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t4,and(b,t3)),and(not(b),or(t4,and(b,t3)))),or(t4,and(b,t3))) ),[0,1],$fot(xor(b,or(t4,and(b,t3))))]]) ).
cnf(refute_0_3415,plain,
( or(or(t4,and(b,t3)),and(not(b),or(t4,and(b,t3)))) != or(t4,and(b,t3))
| or(or(t4,and(b,t3)),xor(b,or(t4,and(b,t3)))) = or(t4,and(b,t3)) ),
inference(resolve,[$cnf( $equal(and(not(b),or(t4,and(b,t3))),xor(b,or(t4,and(b,t3)))) )],[refute_0_3413,refute_0_3414]) ).
cnf(refute_0_3416,plain,
or(or(t4,and(b,t3)),xor(b,or(t4,and(b,t3)))) = or(t4,and(b,t3)),
inference(resolve,[$cnf( $equal(or(or(t4,and(b,t3)),and(not(b),or(t4,and(b,t3)))),or(t4,and(b,t3))) )],[refute_0_3309,refute_0_3415]) ).
cnf(refute_0_3417,plain,
or(or(t4,and(b,t3)),xor(b,or(t4,and(b,t3)))) = or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3))))),
inference(subst,[],[or_associative:[bind(X,$fot(t4)),bind(Y,$fot(and(b,t3))),bind(Z,$fot(xor(b,or(t4,and(b,t3)))))]]) ).
cnf(refute_0_3418,plain,
( or(or(t4,and(b,t3)),xor(b,or(t4,and(b,t3)))) != or(t4,and(b,t3))
| or(or(t4,and(b,t3)),xor(b,or(t4,and(b,t3)))) != or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3)))))
| or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3))))) = or(t4,and(b,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t4,and(b,t3)),xor(b,or(t4,and(b,t3)))),or(t4,and(b,t3))) ),[0],$fot(or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3))))))]]) ).
cnf(refute_0_3419,plain,
( or(or(t4,and(b,t3)),xor(b,or(t4,and(b,t3)))) != or(t4,and(b,t3))
| or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3))))) = or(t4,and(b,t3)) ),
inference(resolve,[$cnf( $equal(or(or(t4,and(b,t3)),xor(b,or(t4,and(b,t3)))),or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3)))))) )],[refute_0_3417,refute_0_3418]) ).
cnf(refute_0_3420,plain,
or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3))))) = or(t4,and(b,t3)),
inference(resolve,[$cnf( $equal(or(or(t4,and(b,t3)),xor(b,or(t4,and(b,t3)))),or(t4,and(b,t3))) )],[refute_0_3416,refute_0_3419]) ).
cnf(refute_0_3421,plain,
or(t4,a) = or(a,t4),
inference(subst,[],[refute_0_5:[bind(X,$fot(a)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_3422,plain,
not(and(t1,t2)) = not(and(t1,t2)),
introduced(tautology,[refl,[$fot(not(and(t1,t2)))]]) ).
cnf(refute_0_3423,plain,
( and(t1,t2) != not(a)
| not(and(t1,t2)) != not(and(t1,t2))
| not(and(t1,t2)) = not(not(a)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(t1,t2)),not(and(t1,t2))) ),[1,0],$fot(not(a))]]) ).
cnf(refute_0_3424,plain,
( and(t1,t2) != not(a)
| not(and(t1,t2)) = not(not(a)) ),
inference(resolve,[$cnf( $equal(not(and(t1,t2)),not(and(t1,t2))) )],[refute_0_3422,refute_0_3423]) ).
cnf(refute_0_3425,plain,
not(and(t1,t2)) = not(not(a)),
inference(resolve,[$cnf( $equal(and(t1,t2),not(a)) )],[refute_0_597,refute_0_3424]) ).
cnf(refute_0_3426,plain,
( not(and(t1,t2)) != not(not(a))
| not(not(a)) != a
| not(and(t1,t2)) = a ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(t1,t2)))),bind(Y0,$fot(not(not(a)))),bind(Z0,$fot(a))]]) ).
cnf(refute_0_3427,plain,
( not(not(a)) != a
| not(and(t1,t2)) = a ),
inference(resolve,[$cnf( $equal(not(and(t1,t2)),not(not(a))) )],[refute_0_3425,refute_0_3426]) ).
cnf(refute_0_3428,plain,
not(and(t1,t2)) = a,
inference(resolve,[$cnf( $equal(not(not(a)),a) )],[refute_0_1805,refute_0_3427]) ).
cnf(refute_0_3429,plain,
or(not(t1),not(t2)) = not(and(t1,t2)),
inference(subst,[],[refute_0_147:[bind(X,$fot(t1)),bind(Y,$fot(t2))]]) ).
cnf(refute_0_3430,plain,
( not(and(t1,t2)) != a
| or(not(t1),not(t2)) != not(and(t1,t2))
| or(not(t1),not(t2)) = a ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t1),not(t2)))),bind(Y0,$fot(not(and(t1,t2)))),bind(Z0,$fot(a))]]) ).
cnf(refute_0_3431,plain,
( not(and(t1,t2)) != a
| or(not(t1),not(t2)) = a ),
inference(resolve,[$cnf( $equal(or(not(t1),not(t2)),not(and(t1,t2))) )],[refute_0_3429,refute_0_3430]) ).
cnf(refute_0_3432,plain,
or(not(t1),not(t2)) = a,
inference(resolve,[$cnf( $equal(not(and(t1,t2)),a) )],[refute_0_3428,refute_0_3431]) ).
cnf(refute_0_3433,plain,
not(or(X,xor(b,t2))) = and(not(X),not(xor(b,t2))),
inference(subst,[],[or_demorgan:[bind(Y,$fot(xor(b,t2)))]]) ).
cnf(refute_0_3434,plain,
( not(or(X,xor(b,t2))) != and(not(X),not(xor(b,t2)))
| not(xor(b,t2)) != or(b,t4)
| not(or(X,xor(b,t2))) = and(not(X),or(b,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(b,t2))),and(not(X),not(xor(b,t2)))) ),[1,1],$fot(or(b,t4))]]) ).
cnf(refute_0_3435,plain,
( not(or(X,xor(b,t2))) != and(not(X),not(xor(b,t2)))
| not(or(X,xor(b,t2))) = and(not(X),or(b,t4)) ),
inference(resolve,[$cnf( $equal(not(xor(b,t2)),or(b,t4)) )],[refute_0_1977,refute_0_3434]) ).
cnf(refute_0_3436,plain,
not(or(X,xor(b,t2))) = and(not(X),or(b,t4)),
inference(resolve,[$cnf( $equal(not(or(X,xor(b,t2))),and(not(X),not(xor(b,t2)))) )],[refute_0_3433,refute_0_3435]) ).
cnf(refute_0_3437,plain,
( not(or(X,xor(b,t2))) != and(not(X),or(b,t4))
| and(not(X),or(b,t4)) = not(or(X,xor(b,t2))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X,xor(b,t2))))),bind(Y0,$fot(and(not(X),or(b,t4))))]]) ).
cnf(refute_0_3438,plain,
and(not(X),or(b,t4)) = not(or(X,xor(b,t2))),
inference(resolve,[$cnf( $equal(not(or(X,xor(b,t2))),and(not(X),or(b,t4))) )],[refute_0_3436,refute_0_3437]) ).
cnf(refute_0_3439,plain,
and(not(b),or(b,t4)) = not(or(b,xor(b,t2))),
inference(subst,[],[refute_0_3438:[bind(X,$fot(b))]]) ).
cnf(refute_0_3440,plain,
not(and(not(t4),t1)) = not(and(t1,not(t4))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(t1)),bind(X_32,$fot(not(t4)))]]) ).
cnf(refute_0_3441,plain,
( and(t1,not(t4)) != not(or(carry,t4))
| not(and(not(t4),t1)) != not(and(t1,not(t4)))
| not(and(not(t4),t1)) = not(not(or(carry,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t4),t1)),not(and(t1,not(t4)))) ),[1,0],$fot(not(or(carry,t4)))]]) ).
cnf(refute_0_3442,plain,
( not(and(not(t4),t1)) != not(and(t1,not(t4)))
| not(and(not(t4),t1)) = not(not(or(carry,t4))) ),
inference(resolve,[$cnf( $equal(and(t1,not(t4)),not(or(carry,t4))) )],[refute_0_1528,refute_0_3441]) ).
cnf(refute_0_3443,plain,
not(and(not(t4),t1)) = not(not(or(carry,t4))),
inference(resolve,[$cnf( $equal(not(and(not(t4),t1)),not(and(t1,not(t4)))) )],[refute_0_3440,refute_0_3442]) ).
cnf(refute_0_3444,plain,
not(and(not(t4),t1)) = or(t4,not(t1)),
inference(subst,[],[refute_0_787:[bind(X,$fot(t4)),bind(X_32,$fot(t1))]]) ).
cnf(refute_0_3445,plain,
( not(and(not(t4),t1)) != not(not(or(carry,t4)))
| not(and(not(t4),t1)) != or(t4,not(t1))
| or(t4,not(t1)) = not(not(or(carry,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t4),t1)),not(not(or(carry,t4)))) ),[0],$fot(or(t4,not(t1)))]]) ).
cnf(refute_0_3446,plain,
( not(and(not(t4),t1)) != not(not(or(carry,t4)))
| or(t4,not(t1)) = not(not(or(carry,t4))) ),
inference(resolve,[$cnf( $equal(not(and(not(t4),t1)),or(t4,not(t1))) )],[refute_0_3444,refute_0_3445]) ).
cnf(refute_0_3447,plain,
not(not(or(carry,t4))) = or(carry,t4),
inference(subst,[],[not_involution:[bind(X,$fot(or(carry,t4)))]]) ).
cnf(refute_0_3448,plain,
( not(not(or(carry,t4))) != or(carry,t4)
| or(t4,not(t1)) != not(not(or(carry,t4)))
| or(t4,not(t1)) = or(carry,t4) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,not(t1)),not(not(or(carry,t4)))) ),[1],$fot(or(carry,t4))]]) ).
cnf(refute_0_3449,plain,
( or(t4,not(t1)) != not(not(or(carry,t4)))
| or(t4,not(t1)) = or(carry,t4) ),
inference(resolve,[$cnf( $equal(not(not(or(carry,t4))),or(carry,t4)) )],[refute_0_3447,refute_0_3448]) ).
cnf(refute_0_3450,plain,
( not(and(not(t4),t1)) != not(not(or(carry,t4)))
| or(t4,not(t1)) = or(carry,t4) ),
inference(resolve,[$cnf( $equal(or(t4,not(t1)),not(not(or(carry,t4)))) )],[refute_0_3446,refute_0_3449]) ).
cnf(refute_0_3451,plain,
or(t4,not(t1)) = or(carry,t4),
inference(resolve,[$cnf( $equal(not(and(not(t4),t1)),not(not(or(carry,t4)))) )],[refute_0_3443,refute_0_3450]) ).
cnf(refute_0_3452,plain,
( or(carry,t4) != or(b,t4)
| or(t4,not(t1)) != or(carry,t4)
| or(t4,not(t1)) = or(b,t4) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,not(t1)),or(carry,t4)) ),[1],$fot(or(b,t4))]]) ).
cnf(refute_0_3453,plain,
( or(t4,not(t1)) != or(carry,t4)
| or(t4,not(t1)) = or(b,t4) ),
inference(resolve,[$cnf( $equal(or(carry,t4),or(b,t4)) )],[refute_0_2127,refute_0_3452]) ).
cnf(refute_0_3454,plain,
or(t4,not(t1)) = or(b,t4),
inference(resolve,[$cnf( $equal(or(t4,not(t1)),or(carry,t4)) )],[refute_0_3451,refute_0_3453]) ).
cnf(refute_0_3455,plain,
xor(X_333,xor(and(b,t3),xor(b,t3))) = xor(xor(X_333,and(b,t3)),xor(b,t3)),
inference(subst,[],[xor_associative:[bind(X,$fot(X_333)),bind(Y,$fot(and(b,t3))),bind(Z,$fot(xor(b,t3)))]]) ).
cnf(refute_0_3456,plain,
ll1 = xor(and(b,t3),not(and(b,t3))),
inference(subst,[],[refute_0_473:[bind(X_64,$fot(and(b,t3)))]]) ).
cnf(refute_0_3457,plain,
( ll1 != xor(and(b,t3),not(and(b,t3)))
| not(and(b,t3)) != xor(b,t3)
| ll1 = xor(and(b,t3),xor(b,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,xor(and(b,t3),not(and(b,t3)))) ),[1,1],$fot(xor(b,t3))]]) ).
cnf(refute_0_3458,plain,
( ll1 != xor(and(b,t3),not(and(b,t3)))
| ll1 = xor(and(b,t3),xor(b,t3)) ),
inference(resolve,[$cnf( $equal(not(and(b,t3)),xor(b,t3)) )],[refute_0_3344,refute_0_3457]) ).
cnf(refute_0_3459,plain,
ll1 = xor(and(b,t3),xor(b,t3)),
inference(resolve,[$cnf( $equal(ll1,xor(and(b,t3),not(and(b,t3)))) )],[refute_0_3456,refute_0_3458]) ).
cnf(refute_0_3460,plain,
( ll1 != xor(and(b,t3),xor(b,t3))
| xor(and(b,t3),xor(b,t3)) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(xor(and(b,t3),xor(b,t3))))]]) ).
cnf(refute_0_3461,plain,
xor(and(b,t3),xor(b,t3)) = ll1,
inference(resolve,[$cnf( $equal(ll1,xor(and(b,t3),xor(b,t3))) )],[refute_0_3459,refute_0_3460]) ).
cnf(refute_0_3462,plain,
( xor(X_333,xor(and(b,t3),xor(b,t3))) != xor(xor(X_333,and(b,t3)),xor(b,t3))
| xor(and(b,t3),xor(b,t3)) != ll1
| xor(X_333,ll1) = xor(xor(X_333,and(b,t3)),xor(b,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,xor(and(b,t3),xor(b,t3))),xor(xor(X_333,and(b,t3)),xor(b,t3))) ),[0,1],$fot(ll1)]]) ).
cnf(refute_0_3463,plain,
( xor(X_333,xor(and(b,t3),xor(b,t3))) != xor(xor(X_333,and(b,t3)),xor(b,t3))
| xor(X_333,ll1) = xor(xor(X_333,and(b,t3)),xor(b,t3)) ),
inference(resolve,[$cnf( $equal(xor(and(b,t3),xor(b,t3)),ll1) )],[refute_0_3461,refute_0_3462]) ).
cnf(refute_0_3464,plain,
xor(X_333,ll1) = xor(xor(X_333,and(b,t3)),xor(b,t3)),
inference(resolve,[$cnf( $equal(xor(X_333,xor(and(b,t3),xor(b,t3))),xor(xor(X_333,and(b,t3)),xor(b,t3))) )],[refute_0_3455,refute_0_3463]) ).
cnf(refute_0_3465,plain,
xor(X_333,ll1) = not(X_333),
inference(subst,[],[refute_0_587:[bind(X_63,$fot(X_333))]]) ).
cnf(refute_0_3466,plain,
( xor(X_333,ll1) != not(X_333)
| xor(X_333,ll1) != xor(xor(X_333,and(b,t3)),xor(b,t3))
| not(X_333) = xor(xor(X_333,and(b,t3)),xor(b,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,ll1),xor(xor(X_333,and(b,t3)),xor(b,t3))) ),[0],$fot(not(X_333))]]) ).
cnf(refute_0_3467,plain,
( xor(X_333,ll1) != xor(xor(X_333,and(b,t3)),xor(b,t3))
| not(X_333) = xor(xor(X_333,and(b,t3)),xor(b,t3)) ),
inference(resolve,[$cnf( $equal(xor(X_333,ll1),not(X_333)) )],[refute_0_3465,refute_0_3466]) ).
cnf(refute_0_3468,plain,
xor(t3,xor(xor(X_333,and(b,t3)),b)) = xor(b,xor(t3,xor(X_333,and(b,t3)))),
inference(subst,[],[refute_0_1453:[bind(X,$fot(b)),bind(X_333,$fot(t3)),bind(X_334,$fot(xor(X_333,and(b,t3))))]]) ).
cnf(refute_0_3469,plain,
xor(xor(X_333,and(b,t3)),xor(b,t3)) = xor(t3,xor(xor(X_333,and(b,t3)),b)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(t3)),bind(X_333,$fot(xor(X_333,and(b,t3)))),bind(X_334,$fot(b))]]) ).
cnf(refute_0_3470,plain,
( xor(t3,xor(xor(X_333,and(b,t3)),b)) != xor(b,xor(t3,xor(X_333,and(b,t3))))
| xor(xor(X_333,and(b,t3)),xor(b,t3)) != xor(t3,xor(xor(X_333,and(b,t3)),b))
| xor(xor(X_333,and(b,t3)),xor(b,t3)) = xor(b,xor(t3,xor(X_333,and(b,t3)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X_333,and(b,t3)),xor(b,t3)))),bind(Y0,$fot(xor(t3,xor(xor(X_333,and(b,t3)),b)))),bind(Z0,$fot(xor(b,xor(t3,xor(X_333,and(b,t3))))))]]) ).
cnf(refute_0_3471,plain,
( xor(t3,xor(xor(X_333,and(b,t3)),b)) != xor(b,xor(t3,xor(X_333,and(b,t3))))
| xor(xor(X_333,and(b,t3)),xor(b,t3)) = xor(b,xor(t3,xor(X_333,and(b,t3)))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,and(b,t3)),xor(b,t3)),xor(t3,xor(xor(X_333,and(b,t3)),b))) )],[refute_0_3469,refute_0_3470]) ).
cnf(refute_0_3472,plain,
xor(xor(X_333,and(b,t3)),xor(b,t3)) = xor(b,xor(t3,xor(X_333,and(b,t3)))),
inference(resolve,[$cnf( $equal(xor(t3,xor(xor(X_333,and(b,t3)),b)),xor(b,xor(t3,xor(X_333,and(b,t3))))) )],[refute_0_3468,refute_0_3471]) ).
cnf(refute_0_3473,plain,
( not(X_333) != xor(xor(X_333,and(b,t3)),xor(b,t3))
| xor(xor(X_333,and(b,t3)),xor(b,t3)) != xor(b,xor(t3,xor(X_333,and(b,t3))))
| not(X_333) = xor(b,xor(t3,xor(X_333,and(b,t3)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(X_333),xor(b,xor(t3,xor(X_333,and(b,t3))))) ),[0],$fot(xor(xor(X_333,and(b,t3)),xor(b,t3)))]]) ).
cnf(refute_0_3474,plain,
( not(X_333) != xor(xor(X_333,and(b,t3)),xor(b,t3))
| not(X_333) = xor(b,xor(t3,xor(X_333,and(b,t3)))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,and(b,t3)),xor(b,t3)),xor(b,xor(t3,xor(X_333,and(b,t3))))) )],[refute_0_3472,refute_0_3473]) ).
cnf(refute_0_3475,plain,
( xor(X_333,ll1) != xor(xor(X_333,and(b,t3)),xor(b,t3))
| not(X_333) = xor(b,xor(t3,xor(X_333,and(b,t3)))) ),
inference(resolve,[$cnf( $equal(not(X_333),xor(xor(X_333,and(b,t3)),xor(b,t3))) )],[refute_0_3467,refute_0_3474]) ).
cnf(refute_0_3476,plain,
not(X_333) = xor(b,xor(t3,xor(X_333,and(b,t3)))),
inference(resolve,[$cnf( $equal(xor(X_333,ll1),xor(xor(X_333,and(b,t3)),xor(b,t3))) )],[refute_0_3464,refute_0_3475]) ).
cnf(refute_0_3477,plain,
not(t1) = xor(b,xor(t3,xor(t1,and(b,t3)))),
inference(subst,[],[refute_0_3476:[bind(X_333,$fot(t1))]]) ).
cnf(refute_0_3478,plain,
not(not(and(b,t3))) = and(b,t3),
inference(subst,[],[not_involution:[bind(X,$fot(and(b,t3)))]]) ).
cnf(refute_0_3479,plain,
( not(and(b,t3)) != xor(b,t3)
| not(not(and(b,t3))) != and(b,t3)
| not(xor(b,t3)) = and(b,t3) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(b,t3))),and(b,t3)) ),[0,0],$fot(xor(b,t3))]]) ).
cnf(refute_0_3480,plain,
( not(not(and(b,t3))) != and(b,t3)
| not(xor(b,t3)) = and(b,t3) ),
inference(resolve,[$cnf( $equal(not(and(b,t3)),xor(b,t3)) )],[refute_0_3344,refute_0_3479]) ).
cnf(refute_0_3481,plain,
not(xor(b,t3)) = and(b,t3),
inference(resolve,[$cnf( $equal(not(not(and(b,t3))),and(b,t3)) )],[refute_0_3478,refute_0_3480]) ).
cnf(refute_0_3482,plain,
xor(t3,b) = xor(b,t3),
inference(subst,[],[refute_0_1865:[bind(X_333,$fot(b))]]) ).
cnf(refute_0_3483,plain,
not(xor(t3,b)) = not(xor(t3,b)),
introduced(tautology,[refl,[$fot(not(xor(t3,b)))]]) ).
cnf(refute_0_3484,plain,
( not(xor(t3,b)) != not(xor(t3,b))
| xor(t3,b) != xor(b,t3)
| not(xor(t3,b)) = not(xor(b,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t3,b)),not(xor(t3,b))) ),[1,0],$fot(xor(b,t3))]]) ).
cnf(refute_0_3485,plain,
( xor(t3,b) != xor(b,t3)
| not(xor(t3,b)) = not(xor(b,t3)) ),
inference(resolve,[$cnf( $equal(not(xor(t3,b)),not(xor(t3,b))) )],[refute_0_3483,refute_0_3484]) ).
cnf(refute_0_3486,plain,
not(xor(t3,b)) = not(xor(b,t3)),
inference(resolve,[$cnf( $equal(xor(t3,b),xor(b,t3)) )],[refute_0_3482,refute_0_3485]) ).
cnf(refute_0_3487,plain,
( not(xor(b,t3)) != and(b,t3)
| not(xor(t3,b)) != not(xor(b,t3))
| not(xor(t3,b)) = and(b,t3) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t3,b)))),bind(Y0,$fot(not(xor(b,t3)))),bind(Z0,$fot(and(b,t3)))]]) ).
cnf(refute_0_3488,plain,
( not(xor(b,t3)) != and(b,t3)
| not(xor(t3,b)) = and(b,t3) ),
inference(resolve,[$cnf( $equal(not(xor(t3,b)),not(xor(b,t3))) )],[refute_0_3486,refute_0_3487]) ).
cnf(refute_0_3489,plain,
not(xor(t3,b)) = and(b,t3),
inference(resolve,[$cnf( $equal(not(xor(b,t3)),and(b,t3)) )],[refute_0_3481,refute_0_3488]) ).
cnf(refute_0_3490,plain,
xor(t3,not(b)) = not(xor(t3,b)),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t3)),bind(X_334,$fot(b))]]) ).
cnf(refute_0_3491,plain,
( not(xor(t3,b)) != and(b,t3)
| xor(t3,not(b)) != not(xor(t3,b))
| xor(t3,not(b)) = and(b,t3) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t3,not(b)))),bind(Y0,$fot(not(xor(t3,b)))),bind(Z0,$fot(and(b,t3)))]]) ).
cnf(refute_0_3492,plain,
( not(xor(t3,b)) != and(b,t3)
| xor(t3,not(b)) = and(b,t3) ),
inference(resolve,[$cnf( $equal(xor(t3,not(b)),not(xor(t3,b))) )],[refute_0_3490,refute_0_3491]) ).
cnf(refute_0_3493,plain,
xor(t3,not(b)) = and(b,t3),
inference(resolve,[$cnf( $equal(not(xor(t3,b)),and(b,t3)) )],[refute_0_3489,refute_0_3492]) ).
cnf(refute_0_3494,plain,
xor(t3,and(t1,t3)) = xor(t3,and(t1,t3)),
introduced(tautology,[refl,[$fot(xor(t3,and(t1,t3)))]]) ).
cnf(refute_0_3495,plain,
( and(t1,t3) != not(b)
| xor(t3,and(t1,t3)) != xor(t3,and(t1,t3))
| xor(t3,and(t1,t3)) = xor(t3,not(b)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,and(t1,t3)),xor(t3,and(t1,t3))) ),[1,1],$fot(not(b))]]) ).
cnf(refute_0_3496,plain,
( and(t1,t3) != not(b)
| xor(t3,and(t1,t3)) = xor(t3,not(b)) ),
inference(resolve,[$cnf( $equal(xor(t3,and(t1,t3)),xor(t3,and(t1,t3))) )],[refute_0_3494,refute_0_3495]) ).
cnf(refute_0_3497,plain,
xor(t3,and(t1,t3)) = xor(t3,not(b)),
inference(resolve,[$cnf( $equal(and(t1,t3),not(b)) )],[refute_0_3032,refute_0_3496]) ).
cnf(refute_0_3498,plain,
( xor(t3,and(t1,t3)) != xor(t3,not(b))
| xor(t3,not(b)) != and(b,t3)
| xor(t3,and(t1,t3)) = and(b,t3) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t3,and(t1,t3)))),bind(Y0,$fot(xor(t3,not(b)))),bind(Z0,$fot(and(b,t3)))]]) ).
cnf(refute_0_3499,plain,
( xor(t3,not(b)) != and(b,t3)
| xor(t3,and(t1,t3)) = and(b,t3) ),
inference(resolve,[$cnf( $equal(xor(t3,and(t1,t3)),xor(t3,not(b))) )],[refute_0_3497,refute_0_3498]) ).
cnf(refute_0_3500,plain,
xor(t3,and(t1,t3)) = and(b,t3),
inference(resolve,[$cnf( $equal(xor(t3,not(b)),and(b,t3)) )],[refute_0_3493,refute_0_3499]) ).
cnf(refute_0_3501,plain,
xor(t1,xor(t3,and(t1,t3))) = xor(t1,xor(t3,and(t1,t3))),
introduced(tautology,[refl,[$fot(xor(t1,xor(t3,and(t1,t3))))]]) ).
cnf(refute_0_3502,plain,
( xor(t1,xor(t3,and(t1,t3))) != xor(t1,xor(t3,and(t1,t3)))
| xor(t3,and(t1,t3)) != and(b,t3)
| xor(t1,xor(t3,and(t1,t3))) = xor(t1,and(b,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,xor(t3,and(t1,t3))),xor(t1,xor(t3,and(t1,t3)))) ),[1,1],$fot(and(b,t3))]]) ).
cnf(refute_0_3503,plain,
( xor(t3,and(t1,t3)) != and(b,t3)
| xor(t1,xor(t3,and(t1,t3))) = xor(t1,and(b,t3)) ),
inference(resolve,[$cnf( $equal(xor(t1,xor(t3,and(t1,t3))),xor(t1,xor(t3,and(t1,t3)))) )],[refute_0_3501,refute_0_3502]) ).
cnf(refute_0_3504,plain,
xor(t1,xor(t3,and(t1,t3))) = xor(t1,and(b,t3)),
inference(resolve,[$cnf( $equal(xor(t3,and(t1,t3)),and(b,t3)) )],[refute_0_3500,refute_0_3503]) ).
cnf(refute_0_3505,plain,
( ll1 != xor(t1,xor(t3,and(t1,t3)))
| xor(t1,xor(t3,and(t1,t3))) != xor(t1,and(b,t3))
| ll1 = xor(t1,and(b,t3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll1,xor(t1,and(b,t3))) ),[0],$fot(xor(t1,xor(t3,and(t1,t3))))]]) ).
cnf(refute_0_3506,plain,
( ll1 != xor(t1,xor(t3,and(t1,t3)))
| ll1 = xor(t1,and(b,t3)) ),
inference(resolve,[$cnf( $equal(xor(t1,xor(t3,and(t1,t3))),xor(t1,and(b,t3))) )],[refute_0_3504,refute_0_3505]) ).
cnf(refute_0_3507,plain,
ll1 = xor(t1,and(b,t3)),
inference(resolve,[$cnf( $equal(ll1,xor(t1,xor(t3,and(t1,t3)))) )],[refute_0_3017,refute_0_3506]) ).
cnf(refute_0_3508,plain,
( ll1 != xor(t1,and(b,t3))
| xor(t1,and(b,t3)) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(xor(t1,and(b,t3))))]]) ).
cnf(refute_0_3509,plain,
xor(t1,and(b,t3)) = ll1,
inference(resolve,[$cnf( $equal(ll1,xor(t1,and(b,t3))) )],[refute_0_3507,refute_0_3508]) ).
cnf(refute_0_3510,plain,
( not(t1) != xor(b,xor(t3,xor(t1,and(b,t3))))
| xor(t1,and(b,t3)) != ll1
| not(t1) = xor(b,xor(t3,ll1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(t1),xor(b,xor(t3,xor(t1,and(b,t3))))) ),[1,1,1],$fot(ll1)]]) ).
cnf(refute_0_3511,plain,
( not(t1) != xor(b,xor(t3,xor(t1,and(b,t3))))
| not(t1) = xor(b,xor(t3,ll1)) ),
inference(resolve,[$cnf( $equal(xor(t1,and(b,t3)),ll1) )],[refute_0_3509,refute_0_3510]) ).
cnf(refute_0_3512,plain,
not(t1) = xor(b,xor(t3,ll1)),
inference(resolve,[$cnf( $equal(not(t1),xor(b,xor(t3,xor(t1,and(b,t3))))) )],[refute_0_3477,refute_0_3511]) ).
cnf(refute_0_3513,plain,
xor(b,not(t3)) = not(xor(b,t3)),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(b)),bind(X_334,$fot(t3))]]) ).
cnf(refute_0_3514,plain,
( not(xor(b,t3)) != and(b,t3)
| xor(b,not(t3)) != not(xor(b,t3))
| xor(b,not(t3)) = and(b,t3) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(b,not(t3)))),bind(Y0,$fot(not(xor(b,t3)))),bind(Z0,$fot(and(b,t3)))]]) ).
cnf(refute_0_3515,plain,
( not(xor(b,t3)) != and(b,t3)
| xor(b,not(t3)) = and(b,t3) ),
inference(resolve,[$cnf( $equal(xor(b,not(t3)),not(xor(b,t3))) )],[refute_0_3513,refute_0_3514]) ).
cnf(refute_0_3516,plain,
xor(b,not(t3)) = and(b,t3),
inference(resolve,[$cnf( $equal(not(xor(b,t3)),and(b,t3)) )],[refute_0_3481,refute_0_3515]) ).
cnf(refute_0_3517,plain,
or(and(ll1,not(X_64)),and(not(ll1),X_64)) = xor(ll1,X_64),
inference(subst,[],[refute_0_9:[bind(X,$fot(ll1)),bind(Y,$fot(X_64))]]) ).
cnf(refute_0_3518,plain,
( not(ll1) != ll0
| or(and(ll1,not(X_64)),and(not(ll1),X_64)) != xor(ll1,X_64)
| or(and(ll1,not(X_64)),and(ll0,X_64)) = xor(ll1,X_64) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(ll1,not(X_64)),and(not(ll1),X_64)),xor(ll1,X_64)) ),[0,1,0],$fot(ll0)]]) ).
cnf(refute_0_3519,plain,
( or(and(ll1,not(X_64)),and(not(ll1),X_64)) != xor(ll1,X_64)
| or(and(ll1,not(X_64)),and(ll0,X_64)) = xor(ll1,X_64) ),
inference(resolve,[$cnf( $equal(not(ll1),ll0) )],[ll1_inverse,refute_0_3518]) ).
cnf(refute_0_3520,plain,
or(and(ll1,not(X_64)),and(ll0,X_64)) = xor(ll1,X_64),
inference(resolve,[$cnf( $equal(or(and(ll1,not(X_64)),and(not(ll1),X_64)),xor(ll1,X_64)) )],[refute_0_3517,refute_0_3519]) ).
cnf(refute_0_3521,plain,
or(ll0,not(X_64)) = not(X_64),
inference(subst,[],[refute_0_124:[bind(X,$fot(not(X_64)))]]) ).
cnf(refute_0_3522,plain,
and(ll1,not(X_64)) = not(X_64),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(X_64)))]]) ).
cnf(refute_0_3523,plain,
or(ll0,and(ll1,not(X_64))) = or(ll0,and(ll1,not(X_64))),
introduced(tautology,[refl,[$fot(or(ll0,and(ll1,not(X_64))))]]) ).
cnf(refute_0_3524,plain,
( and(ll1,not(X_64)) != not(X_64)
| or(ll0,and(ll1,not(X_64))) != or(ll0,and(ll1,not(X_64)))
| or(ll0,and(ll1,not(X_64))) = or(ll0,not(X_64)) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(ll1,not(X_64))),or(ll0,and(ll1,not(X_64)))) ),[1,1],$fot(not(X_64))]]) ).
cnf(refute_0_3525,plain,
( and(ll1,not(X_64)) != not(X_64)
| or(ll0,and(ll1,not(X_64))) = or(ll0,not(X_64)) ),
inference(resolve,[$cnf( $equal(or(ll0,and(ll1,not(X_64))),or(ll0,and(ll1,not(X_64)))) )],[refute_0_3523,refute_0_3524]) ).
cnf(refute_0_3526,plain,
or(ll0,and(ll1,not(X_64))) = or(ll0,not(X_64)),
inference(resolve,[$cnf( $equal(and(ll1,not(X_64)),not(X_64)) )],[refute_0_3522,refute_0_3525]) ).
cnf(refute_0_3527,plain,
and(ll0,X_64) = ll0,
inference(subst,[],[refute_0_55:[bind(X,$fot(X_64))]]) ).
cnf(refute_0_3528,plain,
or(and(ll0,X_64),and(ll1,not(X_64))) = or(and(ll0,X_64),and(ll1,not(X_64))),
introduced(tautology,[refl,[$fot(or(and(ll0,X_64),and(ll1,not(X_64))))]]) ).
cnf(refute_0_3529,plain,
( and(ll0,X_64) != ll0
| or(and(ll0,X_64),and(ll1,not(X_64))) != or(and(ll0,X_64),and(ll1,not(X_64)))
| or(and(ll0,X_64),and(ll1,not(X_64))) = or(ll0,and(ll1,not(X_64))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(ll0,X_64),and(ll1,not(X_64))),or(and(ll0,X_64),and(ll1,not(X_64)))) ),[1,0],$fot(ll0)]]) ).
cnf(refute_0_3530,plain,
( and(ll0,X_64) != ll0
| or(and(ll0,X_64),and(ll1,not(X_64))) = or(ll0,and(ll1,not(X_64))) ),
inference(resolve,[$cnf( $equal(or(and(ll0,X_64),and(ll1,not(X_64))),or(and(ll0,X_64),and(ll1,not(X_64)))) )],[refute_0_3528,refute_0_3529]) ).
cnf(refute_0_3531,plain,
or(and(ll0,X_64),and(ll1,not(X_64))) = or(ll0,and(ll1,not(X_64))),
inference(resolve,[$cnf( $equal(and(ll0,X_64),ll0) )],[refute_0_3527,refute_0_3530]) ).
cnf(refute_0_3532,plain,
( or(and(ll0,X_64),and(ll1,not(X_64))) != or(ll0,and(ll1,not(X_64)))
| or(ll0,and(ll1,not(X_64))) != or(ll0,not(X_64))
| or(and(ll0,X_64),and(ll1,not(X_64))) = or(ll0,not(X_64)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(ll0,X_64),and(ll1,not(X_64))))),bind(Y0,$fot(or(ll0,and(ll1,not(X_64))))),bind(Z0,$fot(or(ll0,not(X_64))))]]) ).
cnf(refute_0_3533,plain,
( or(ll0,and(ll1,not(X_64))) != or(ll0,not(X_64))
| or(and(ll0,X_64),and(ll1,not(X_64))) = or(ll0,not(X_64)) ),
inference(resolve,[$cnf( $equal(or(and(ll0,X_64),and(ll1,not(X_64))),or(ll0,and(ll1,not(X_64)))) )],[refute_0_3531,refute_0_3532]) ).
cnf(refute_0_3534,plain,
or(and(ll0,X_64),and(ll1,not(X_64))) = or(ll0,not(X_64)),
inference(resolve,[$cnf( $equal(or(ll0,and(ll1,not(X_64))),or(ll0,not(X_64))) )],[refute_0_3526,refute_0_3533]) ).
cnf(refute_0_3535,plain,
( or(and(ll0,X_64),and(ll1,not(X_64))) != or(ll0,not(X_64))
| or(ll0,not(X_64)) != not(X_64)
| or(and(ll0,X_64),and(ll1,not(X_64))) = not(X_64) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(ll0,X_64),and(ll1,not(X_64))))),bind(Y0,$fot(or(ll0,not(X_64)))),bind(Z0,$fot(not(X_64)))]]) ).
cnf(refute_0_3536,plain,
( or(ll0,not(X_64)) != not(X_64)
| or(and(ll0,X_64),and(ll1,not(X_64))) = not(X_64) ),
inference(resolve,[$cnf( $equal(or(and(ll0,X_64),and(ll1,not(X_64))),or(ll0,not(X_64))) )],[refute_0_3534,refute_0_3535]) ).
cnf(refute_0_3537,plain,
or(and(ll0,X_64),and(ll1,not(X_64))) = not(X_64),
inference(resolve,[$cnf( $equal(or(ll0,not(X_64)),not(X_64)) )],[refute_0_3521,refute_0_3536]) ).
cnf(refute_0_3538,plain,
or(and(ll1,not(X_64)),and(ll0,X_64)) = or(and(ll0,X_64),and(ll1,not(X_64))),
inference(subst,[],[refute_0_5:[bind(X,$fot(and(ll0,X_64))),bind(Y,$fot(and(ll1,not(X_64))))]]) ).
cnf(refute_0_3539,plain,
( or(and(ll0,X_64),and(ll1,not(X_64))) != not(X_64)
| or(and(ll1,not(X_64)),and(ll0,X_64)) != or(and(ll0,X_64),and(ll1,not(X_64)))
| or(and(ll1,not(X_64)),and(ll0,X_64)) = not(X_64) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(ll1,not(X_64)),and(ll0,X_64)))),bind(Y0,$fot(or(and(ll0,X_64),and(ll1,not(X_64))))),bind(Z0,$fot(not(X_64)))]]) ).
cnf(refute_0_3540,plain,
( or(and(ll0,X_64),and(ll1,not(X_64))) != not(X_64)
| or(and(ll1,not(X_64)),and(ll0,X_64)) = not(X_64) ),
inference(resolve,[$cnf( $equal(or(and(ll1,not(X_64)),and(ll0,X_64)),or(and(ll0,X_64),and(ll1,not(X_64)))) )],[refute_0_3538,refute_0_3539]) ).
cnf(refute_0_3541,plain,
or(and(ll1,not(X_64)),and(ll0,X_64)) = not(X_64),
inference(resolve,[$cnf( $equal(or(and(ll0,X_64),and(ll1,not(X_64))),not(X_64)) )],[refute_0_3537,refute_0_3540]) ).
cnf(refute_0_3542,plain,
( or(and(ll1,not(X_64)),and(ll0,X_64)) != not(X_64)
| or(and(ll1,not(X_64)),and(ll0,X_64)) != xor(ll1,X_64)
| not(X_64) = xor(ll1,X_64) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(ll1,not(X_64)),and(ll0,X_64)),xor(ll1,X_64)) ),[0],$fot(not(X_64))]]) ).
cnf(refute_0_3543,plain,
( or(and(ll1,not(X_64)),and(ll0,X_64)) != xor(ll1,X_64)
| not(X_64) = xor(ll1,X_64) ),
inference(resolve,[$cnf( $equal(or(and(ll1,not(X_64)),and(ll0,X_64)),not(X_64)) )],[refute_0_3541,refute_0_3542]) ).
cnf(refute_0_3544,plain,
not(X_64) = xor(ll1,X_64),
inference(resolve,[$cnf( $equal(or(and(ll1,not(X_64)),and(ll0,X_64)),xor(ll1,X_64)) )],[refute_0_3520,refute_0_3543]) ).
cnf(refute_0_3545,plain,
( not(X_64) != xor(ll1,X_64)
| xor(ll1,X_64) = not(X_64) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(X_64))),bind(Y0,$fot(xor(ll1,X_64)))]]) ).
cnf(refute_0_3546,plain,
xor(ll1,X_64) = not(X_64),
inference(resolve,[$cnf( $equal(not(X_64),xor(ll1,X_64)) )],[refute_0_3544,refute_0_3545]) ).
cnf(refute_0_3547,plain,
xor(ll1,t3) = not(t3),
inference(subst,[],[refute_0_3546:[bind(X_64,$fot(t3))]]) ).
cnf(refute_0_3548,plain,
xor(b,xor(ll1,t3)) = xor(b,xor(ll1,t3)),
introduced(tautology,[refl,[$fot(xor(b,xor(ll1,t3)))]]) ).
cnf(refute_0_3549,plain,
( xor(b,xor(ll1,t3)) != xor(b,xor(ll1,t3))
| xor(ll1,t3) != not(t3)
| xor(b,xor(ll1,t3)) = xor(b,not(t3)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,xor(ll1,t3)),xor(b,xor(ll1,t3))) ),[1,1],$fot(not(t3))]]) ).
cnf(refute_0_3550,plain,
( xor(ll1,t3) != not(t3)
| xor(b,xor(ll1,t3)) = xor(b,not(t3)) ),
inference(resolve,[$cnf( $equal(xor(b,xor(ll1,t3)),xor(b,xor(ll1,t3))) )],[refute_0_3548,refute_0_3549]) ).
cnf(refute_0_3551,plain,
xor(b,xor(ll1,t3)) = xor(b,not(t3)),
inference(resolve,[$cnf( $equal(xor(ll1,t3),not(t3)) )],[refute_0_3547,refute_0_3550]) ).
cnf(refute_0_3552,plain,
( xor(b,not(t3)) != and(b,t3)
| xor(b,xor(ll1,t3)) != xor(b,not(t3))
| xor(b,xor(ll1,t3)) = and(b,t3) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(b,xor(ll1,t3)))),bind(Y0,$fot(xor(b,not(t3)))),bind(Z0,$fot(and(b,t3)))]]) ).
cnf(refute_0_3553,plain,
( xor(b,not(t3)) != and(b,t3)
| xor(b,xor(ll1,t3)) = and(b,t3) ),
inference(resolve,[$cnf( $equal(xor(b,xor(ll1,t3)),xor(b,not(t3))) )],[refute_0_3551,refute_0_3552]) ).
cnf(refute_0_3554,plain,
xor(b,xor(ll1,t3)) = and(b,t3),
inference(resolve,[$cnf( $equal(xor(b,not(t3)),and(b,t3)) )],[refute_0_3516,refute_0_3553]) ).
cnf(refute_0_3555,plain,
xor(b,xor(t3,ll1)) = xor(b,xor(ll1,t3)),
inference(subst,[],[refute_0_2105:[bind(X_333,$fot(b)),bind(X_334,$fot(t3)),bind(X_335,$fot(ll1))]]) ).
cnf(refute_0_3556,plain,
( xor(b,xor(ll1,t3)) != and(b,t3)
| xor(b,xor(t3,ll1)) != xor(b,xor(ll1,t3))
| xor(b,xor(t3,ll1)) = and(b,t3) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(b,xor(t3,ll1)))),bind(Y0,$fot(xor(b,xor(ll1,t3)))),bind(Z0,$fot(and(b,t3)))]]) ).
cnf(refute_0_3557,plain,
( xor(b,xor(ll1,t3)) != and(b,t3)
| xor(b,xor(t3,ll1)) = and(b,t3) ),
inference(resolve,[$cnf( $equal(xor(b,xor(t3,ll1)),xor(b,xor(ll1,t3))) )],[refute_0_3555,refute_0_3556]) ).
cnf(refute_0_3558,plain,
xor(b,xor(t3,ll1)) = and(b,t3),
inference(resolve,[$cnf( $equal(xor(b,xor(ll1,t3)),and(b,t3)) )],[refute_0_3554,refute_0_3557]) ).
cnf(refute_0_3559,plain,
( not(t1) != xor(b,xor(t3,ll1))
| xor(b,xor(t3,ll1)) != and(b,t3)
| not(t1) = and(b,t3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(t1),and(b,t3)) ),[0],$fot(xor(b,xor(t3,ll1)))]]) ).
cnf(refute_0_3560,plain,
( not(t1) != xor(b,xor(t3,ll1))
| not(t1) = and(b,t3) ),
inference(resolve,[$cnf( $equal(xor(b,xor(t3,ll1)),and(b,t3)) )],[refute_0_3558,refute_0_3559]) ).
cnf(refute_0_3561,plain,
not(t1) = and(b,t3),
inference(resolve,[$cnf( $equal(not(t1),xor(b,xor(t3,ll1))) )],[refute_0_3512,refute_0_3560]) ).
cnf(refute_0_3562,plain,
( not(t1) != and(b,t3)
| and(b,t3) = not(t1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t1))),bind(Y0,$fot(and(b,t3)))]]) ).
cnf(refute_0_3563,plain,
and(b,t3) = not(t1),
inference(resolve,[$cnf( $equal(not(t1),and(b,t3)) )],[refute_0_3561,refute_0_3562]) ).
cnf(refute_0_3564,plain,
or(t4,and(b,t3)) = or(t4,and(b,t3)),
introduced(tautology,[refl,[$fot(or(t4,and(b,t3)))]]) ).
cnf(refute_0_3565,plain,
( and(b,t3) != not(t1)
| or(t4,and(b,t3)) != or(t4,and(b,t3))
| or(t4,and(b,t3)) = or(t4,not(t1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,and(b,t3)),or(t4,and(b,t3))) ),[1,1],$fot(not(t1))]]) ).
cnf(refute_0_3566,plain,
( and(b,t3) != not(t1)
| or(t4,and(b,t3)) = or(t4,not(t1)) ),
inference(resolve,[$cnf( $equal(or(t4,and(b,t3)),or(t4,and(b,t3))) )],[refute_0_3564,refute_0_3565]) ).
cnf(refute_0_3567,plain,
or(t4,and(b,t3)) = or(t4,not(t1)),
inference(resolve,[$cnf( $equal(and(b,t3),not(t1)) )],[refute_0_3563,refute_0_3566]) ).
cnf(refute_0_3568,plain,
( or(t4,and(b,t3)) != or(t4,not(t1))
| or(t4,not(t1)) != or(b,t4)
| or(t4,and(b,t3)) = or(b,t4) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t4,and(b,t3)))),bind(Y0,$fot(or(t4,not(t1)))),bind(Z0,$fot(or(b,t4)))]]) ).
cnf(refute_0_3569,plain,
( or(t4,not(t1)) != or(b,t4)
| or(t4,and(b,t3)) = or(b,t4) ),
inference(resolve,[$cnf( $equal(or(t4,and(b,t3)),or(t4,not(t1))) )],[refute_0_3567,refute_0_3568]) ).
cnf(refute_0_3570,plain,
or(t4,and(b,t3)) = or(b,t4),
inference(resolve,[$cnf( $equal(or(t4,not(t1)),or(b,t4)) )],[refute_0_3454,refute_0_3569]) ).
cnf(refute_0_3571,plain,
and(not(b),or(t4,and(b,t3))) = and(not(b),or(t4,and(b,t3))),
introduced(tautology,[refl,[$fot(and(not(b),or(t4,and(b,t3))))]]) ).
cnf(refute_0_3572,plain,
( and(not(b),or(t4,and(b,t3))) != and(not(b),or(t4,and(b,t3)))
| or(t4,and(b,t3)) != or(b,t4)
| and(not(b),or(t4,and(b,t3))) = and(not(b),or(b,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(b),or(t4,and(b,t3))),and(not(b),or(t4,and(b,t3)))) ),[1,1],$fot(or(b,t4))]]) ).
cnf(refute_0_3573,plain,
( or(t4,and(b,t3)) != or(b,t4)
| and(not(b),or(t4,and(b,t3))) = and(not(b),or(b,t4)) ),
inference(resolve,[$cnf( $equal(and(not(b),or(t4,and(b,t3))),and(not(b),or(t4,and(b,t3)))) )],[refute_0_3571,refute_0_3572]) ).
cnf(refute_0_3574,plain,
and(not(b),or(t4,and(b,t3))) = and(not(b),or(b,t4)),
inference(resolve,[$cnf( $equal(or(t4,and(b,t3)),or(b,t4)) )],[refute_0_3570,refute_0_3573]) ).
cnf(refute_0_3575,plain,
( and(not(b),or(b,t4)) != not(or(b,xor(b,t2)))
| and(not(b),or(t4,and(b,t3))) != and(not(b),or(b,t4))
| and(not(b),or(t4,and(b,t3))) = not(or(b,xor(b,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(b),or(t4,and(b,t3))))),bind(Y0,$fot(and(not(b),or(b,t4)))),bind(Z0,$fot(not(or(b,xor(b,t2)))))]]) ).
cnf(refute_0_3576,plain,
( and(not(b),or(b,t4)) != not(or(b,xor(b,t2)))
| and(not(b),or(t4,and(b,t3))) = not(or(b,xor(b,t2))) ),
inference(resolve,[$cnf( $equal(and(not(b),or(t4,and(b,t3))),and(not(b),or(b,t4))) )],[refute_0_3574,refute_0_3575]) ).
cnf(refute_0_3577,plain,
and(not(b),or(t4,and(b,t3))) = not(or(b,xor(b,t2))),
inference(resolve,[$cnf( $equal(and(not(b),or(b,t4)),not(or(b,xor(b,t2)))) )],[refute_0_3439,refute_0_3576]) ).
cnf(refute_0_3578,plain,
( and(not(b),or(t4,and(b,t3))) != not(or(b,xor(b,t2)))
| and(not(b),or(t4,and(b,t3))) != xor(b,or(t4,and(b,t3)))
| not(or(b,xor(b,t2))) = xor(b,or(t4,and(b,t3))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(b),or(t4,and(b,t3))),xor(b,or(t4,and(b,t3)))) ),[0],$fot(not(or(b,xor(b,t2))))]]) ).
cnf(refute_0_3579,plain,
( and(not(b),or(t4,and(b,t3))) != xor(b,or(t4,and(b,t3)))
| not(or(b,xor(b,t2))) = xor(b,or(t4,and(b,t3))) ),
inference(resolve,[$cnf( $equal(and(not(b),or(t4,and(b,t3))),not(or(b,xor(b,t2)))) )],[refute_0_3577,refute_0_3578]) ).
cnf(refute_0_3580,plain,
xor(b,or(t4,and(b,t3))) = xor(b,or(t4,and(b,t3))),
introduced(tautology,[refl,[$fot(xor(b,or(t4,and(b,t3))))]]) ).
cnf(refute_0_3581,plain,
( or(t4,and(b,t3)) != or(b,t4)
| xor(b,or(t4,and(b,t3))) != xor(b,or(t4,and(b,t3)))
| xor(b,or(t4,and(b,t3))) = xor(b,or(b,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,or(t4,and(b,t3))),xor(b,or(t4,and(b,t3)))) ),[1,1],$fot(or(b,t4))]]) ).
cnf(refute_0_3582,plain,
( or(t4,and(b,t3)) != or(b,t4)
| xor(b,or(t4,and(b,t3))) = xor(b,or(b,t4)) ),
inference(resolve,[$cnf( $equal(xor(b,or(t4,and(b,t3))),xor(b,or(t4,and(b,t3)))) )],[refute_0_3580,refute_0_3581]) ).
cnf(refute_0_3583,plain,
xor(b,or(t4,and(b,t3))) = xor(b,or(b,t4)),
inference(resolve,[$cnf( $equal(or(t4,and(b,t3)),or(b,t4)) )],[refute_0_3570,refute_0_3582]) ).
cnf(refute_0_3584,plain,
( not(or(b,xor(b,t2))) != xor(b,or(t4,and(b,t3)))
| xor(b,or(t4,and(b,t3))) != xor(b,or(b,t4))
| not(or(b,xor(b,t2))) = xor(b,or(b,t4)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(or(b,xor(b,t2))),xor(b,or(b,t4))) ),[0],$fot(xor(b,or(t4,and(b,t3))))]]) ).
cnf(refute_0_3585,plain,
( not(or(b,xor(b,t2))) != xor(b,or(t4,and(b,t3)))
| not(or(b,xor(b,t2))) = xor(b,or(b,t4)) ),
inference(resolve,[$cnf( $equal(xor(b,or(t4,and(b,t3))),xor(b,or(b,t4))) )],[refute_0_3583,refute_0_3584]) ).
cnf(refute_0_3586,plain,
( and(not(b),or(t4,and(b,t3))) != xor(b,or(t4,and(b,t3)))
| not(or(b,xor(b,t2))) = xor(b,or(b,t4)) ),
inference(resolve,[$cnf( $equal(not(or(b,xor(b,t2))),xor(b,or(t4,and(b,t3)))) )],[refute_0_3579,refute_0_3585]) ).
cnf(refute_0_3587,plain,
not(or(b,xor(b,t2))) = xor(b,or(b,t4)),
inference(resolve,[$cnf( $equal(and(not(b),or(t4,and(b,t3))),xor(b,or(t4,and(b,t3)))) )],[refute_0_3413,refute_0_3586]) ).
cnf(refute_0_3588,plain,
not(and(or(t4,and(b,t3)),not(b))) = not(and(not(b),or(t4,and(b,t3)))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(not(b))),bind(X_32,$fot(or(t4,and(b,t3))))]]) ).
cnf(refute_0_3589,plain,
( and(not(b),or(t4,and(b,t3))) != xor(b,or(t4,and(b,t3)))
| not(and(or(t4,and(b,t3)),not(b))) != not(and(not(b),or(t4,and(b,t3))))
| not(and(or(t4,and(b,t3)),not(b))) = not(xor(b,or(t4,and(b,t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(t4,and(b,t3)),not(b))),not(and(not(b),or(t4,and(b,t3))))) ),[1,0],$fot(xor(b,or(t4,and(b,t3))))]]) ).
cnf(refute_0_3590,plain,
( not(and(or(t4,and(b,t3)),not(b))) != not(and(not(b),or(t4,and(b,t3))))
| not(and(or(t4,and(b,t3)),not(b))) = not(xor(b,or(t4,and(b,t3)))) ),
inference(resolve,[$cnf( $equal(and(not(b),or(t4,and(b,t3))),xor(b,or(t4,and(b,t3)))) )],[refute_0_3413,refute_0_3589]) ).
cnf(refute_0_3591,plain,
not(and(or(t4,and(b,t3)),not(b))) = not(xor(b,or(t4,and(b,t3)))),
inference(resolve,[$cnf( $equal(not(and(or(t4,and(b,t3)),not(b))),not(and(not(b),or(t4,and(b,t3))))) )],[refute_0_3588,refute_0_3590]) ).
cnf(refute_0_3592,plain,
not(and(not(b),or(t4,and(b,t3)))) = or(b,not(or(t4,and(b,t3)))),
inference(subst,[],[refute_0_787:[bind(X,$fot(b)),bind(X_32,$fot(or(t4,and(b,t3))))]]) ).
cnf(refute_0_3593,plain,
( not(and(not(b),or(t4,and(b,t3)))) != or(b,not(or(t4,and(b,t3))))
| not(and(or(t4,and(b,t3)),not(b))) != not(and(not(b),or(t4,and(b,t3))))
| not(and(or(t4,and(b,t3)),not(b))) = or(b,not(or(t4,and(b,t3)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(or(t4,and(b,t3)),not(b))))),bind(Y0,$fot(not(and(not(b),or(t4,and(b,t3)))))),bind(Z0,$fot(or(b,not(or(t4,and(b,t3))))))]]) ).
cnf(refute_0_3594,plain,
( not(and(not(b),or(t4,and(b,t3)))) != or(b,not(or(t4,and(b,t3))))
| not(and(or(t4,and(b,t3)),not(b))) = or(b,not(or(t4,and(b,t3)))) ),
inference(resolve,[$cnf( $equal(not(and(or(t4,and(b,t3)),not(b))),not(and(not(b),or(t4,and(b,t3))))) )],[refute_0_3588,refute_0_3593]) ).
cnf(refute_0_3595,plain,
not(and(or(t4,and(b,t3)),not(b))) = or(b,not(or(t4,and(b,t3)))),
inference(resolve,[$cnf( $equal(not(and(not(b),or(t4,and(b,t3)))),or(b,not(or(t4,and(b,t3))))) )],[refute_0_3592,refute_0_3594]) ).
cnf(refute_0_3596,plain,
( not(and(or(t4,and(b,t3)),not(b))) != not(xor(b,or(t4,and(b,t3))))
| not(and(or(t4,and(b,t3)),not(b))) != or(b,not(or(t4,and(b,t3))))
| or(b,not(or(t4,and(b,t3)))) = not(xor(b,or(t4,and(b,t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(t4,and(b,t3)),not(b))),not(xor(b,or(t4,and(b,t3))))) ),[0],$fot(or(b,not(or(t4,and(b,t3)))))]]) ).
cnf(refute_0_3597,plain,
( not(and(or(t4,and(b,t3)),not(b))) != not(xor(b,or(t4,and(b,t3))))
| or(b,not(or(t4,and(b,t3)))) = not(xor(b,or(t4,and(b,t3)))) ),
inference(resolve,[$cnf( $equal(not(and(or(t4,and(b,t3)),not(b))),or(b,not(or(t4,and(b,t3))))) )],[refute_0_3595,refute_0_3596]) ).
cnf(refute_0_3598,plain,
or(b,not(or(t4,and(b,t3)))) = not(xor(b,or(t4,and(b,t3)))),
inference(resolve,[$cnf( $equal(not(and(or(t4,and(b,t3)),not(b))),not(xor(b,or(t4,and(b,t3))))) )],[refute_0_3591,refute_0_3597]) ).
cnf(refute_0_3599,plain,
not(or(t4,and(b,t3))) = not(or(t4,and(b,t3))),
introduced(tautology,[refl,[$fot(not(or(t4,and(b,t3))))]]) ).
cnf(refute_0_3600,plain,
( not(or(t4,and(b,t3))) != not(or(t4,and(b,t3)))
| or(t4,and(b,t3)) != or(b,t4)
| not(or(t4,and(b,t3))) = not(or(b,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t4,and(b,t3))),not(or(t4,and(b,t3)))) ),[1,0],$fot(or(b,t4))]]) ).
cnf(refute_0_3601,plain,
( or(t4,and(b,t3)) != or(b,t4)
| not(or(t4,and(b,t3))) = not(or(b,t4)) ),
inference(resolve,[$cnf( $equal(not(or(t4,and(b,t3))),not(or(t4,and(b,t3)))) )],[refute_0_3599,refute_0_3600]) ).
cnf(refute_0_3602,plain,
not(or(t4,and(b,t3))) = not(or(b,t4)),
inference(resolve,[$cnf( $equal(or(t4,and(b,t3)),or(b,t4)) )],[refute_0_3570,refute_0_3601]) ).
cnf(refute_0_3603,plain,
( not(or(b,t4)) != xor(b,t2)
| not(or(t4,and(b,t3))) != not(or(b,t4))
| not(or(t4,and(b,t3))) = xor(b,t2) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(t4,and(b,t3))))),bind(Y0,$fot(not(or(b,t4)))),bind(Z0,$fot(xor(b,t2)))]]) ).
cnf(refute_0_3604,plain,
( not(or(b,t4)) != xor(b,t2)
| not(or(t4,and(b,t3))) = xor(b,t2) ),
inference(resolve,[$cnf( $equal(not(or(t4,and(b,t3))),not(or(b,t4))) )],[refute_0_3602,refute_0_3603]) ).
cnf(refute_0_3605,plain,
not(or(t4,and(b,t3))) = xor(b,t2),
inference(resolve,[$cnf( $equal(not(or(b,t4)),xor(b,t2)) )],[refute_0_2216,refute_0_3604]) ).
cnf(refute_0_3606,plain,
or(b,not(or(t4,and(b,t3)))) = or(b,not(or(t4,and(b,t3)))),
introduced(tautology,[refl,[$fot(or(b,not(or(t4,and(b,t3)))))]]) ).
cnf(refute_0_3607,plain,
( not(or(t4,and(b,t3))) != xor(b,t2)
| or(b,not(or(t4,and(b,t3)))) != or(b,not(or(t4,and(b,t3))))
| or(b,not(or(t4,and(b,t3)))) = or(b,xor(b,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(b,not(or(t4,and(b,t3)))),or(b,not(or(t4,and(b,t3))))) ),[1,1],$fot(xor(b,t2))]]) ).
cnf(refute_0_3608,plain,
( not(or(t4,and(b,t3))) != xor(b,t2)
| or(b,not(or(t4,and(b,t3)))) = or(b,xor(b,t2)) ),
inference(resolve,[$cnf( $equal(or(b,not(or(t4,and(b,t3)))),or(b,not(or(t4,and(b,t3))))) )],[refute_0_3606,refute_0_3607]) ).
cnf(refute_0_3609,plain,
or(b,not(or(t4,and(b,t3)))) = or(b,xor(b,t2)),
inference(resolve,[$cnf( $equal(not(or(t4,and(b,t3))),xor(b,t2)) )],[refute_0_3605,refute_0_3608]) ).
cnf(refute_0_3610,plain,
( or(b,not(or(t4,and(b,t3)))) != not(xor(b,or(t4,and(b,t3))))
| or(b,not(or(t4,and(b,t3)))) != or(b,xor(b,t2))
| or(b,xor(b,t2)) = not(xor(b,or(t4,and(b,t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(b,not(or(t4,and(b,t3)))),not(xor(b,or(t4,and(b,t3))))) ),[0],$fot(or(b,xor(b,t2)))]]) ).
cnf(refute_0_3611,plain,
( or(b,not(or(t4,and(b,t3)))) != not(xor(b,or(t4,and(b,t3))))
| or(b,xor(b,t2)) = not(xor(b,or(t4,and(b,t3)))) ),
inference(resolve,[$cnf( $equal(or(b,not(or(t4,and(b,t3)))),or(b,xor(b,t2))) )],[refute_0_3609,refute_0_3610]) ).
cnf(refute_0_3612,plain,
xor(b,xor(b,t2)) = t2,
inference(subst,[],[refute_0_88:[bind(X_334,$fot(b)),bind(X_335,$fot(t2))]]) ).
cnf(refute_0_3613,plain,
or(and(X,not(xor(carry,t6))),and(not(X),xor(carry,t6))) = xor(X,xor(carry,t6)),
inference(subst,[],[refute_0_9:[bind(Y,$fot(xor(carry,t6)))]]) ).
cnf(refute_0_3614,plain,
not(xor(t1,t4)) = not(xor(t1,t4)),
introduced(tautology,[refl,[$fot(not(xor(t1,t4)))]]) ).
cnf(refute_0_3615,plain,
( not(xor(t1,t4)) != not(xor(t1,t4))
| xor(t1,t4) != xor(carry,t6)
| not(xor(t1,t4)) = not(xor(carry,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t1,t4)),not(xor(t1,t4))) ),[1,0],$fot(xor(carry,t6))]]) ).
cnf(refute_0_3616,plain,
( xor(t1,t4) != xor(carry,t6)
| not(xor(t1,t4)) = not(xor(carry,t6)) ),
inference(resolve,[$cnf( $equal(not(xor(t1,t4)),not(xor(t1,t4))) )],[refute_0_3614,refute_0_3615]) ).
cnf(refute_0_3617,plain,
not(xor(t1,t4)) = not(xor(carry,t6)),
inference(resolve,[$cnf( $equal(xor(t1,t4),xor(carry,t6)) )],[refute_0_1496,refute_0_3616]) ).
cnf(refute_0_3618,plain,
( not(xor(t1,t4)) != not(xor(carry,t6))
| not(xor(t1,t4)) != or(carry,t4)
| not(xor(carry,t6)) = or(carry,t4) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t1,t4)),or(carry,t4)) ),[0],$fot(not(xor(carry,t6)))]]) ).
cnf(refute_0_3619,plain,
( not(xor(t1,t4)) != or(carry,t4)
| not(xor(carry,t6)) = or(carry,t4) ),
inference(resolve,[$cnf( $equal(not(xor(t1,t4)),not(xor(carry,t6))) )],[refute_0_3617,refute_0_3618]) ).
cnf(refute_0_3620,plain,
not(xor(carry,t6)) = or(carry,t4),
inference(resolve,[$cnf( $equal(not(xor(t1,t4)),or(carry,t4)) )],[refute_0_1570,refute_0_3619]) ).
cnf(refute_0_3621,plain,
( not(xor(carry,t6)) != or(carry,t4)
| or(and(X,not(xor(carry,t6))),and(not(X),xor(carry,t6))) != xor(X,xor(carry,t6))
| or(and(X,or(carry,t4)),and(not(X),xor(carry,t6))) = xor(X,xor(carry,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X,not(xor(carry,t6))),and(not(X),xor(carry,t6))),xor(X,xor(carry,t6))) ),[0,0,1],$fot(or(carry,t4))]]) ).
cnf(refute_0_3622,plain,
( or(and(X,not(xor(carry,t6))),and(not(X),xor(carry,t6))) != xor(X,xor(carry,t6))
| or(and(X,or(carry,t4)),and(not(X),xor(carry,t6))) = xor(X,xor(carry,t6)) ),
inference(resolve,[$cnf( $equal(not(xor(carry,t6)),or(carry,t4)) )],[refute_0_3620,refute_0_3621]) ).
cnf(refute_0_3623,plain,
or(and(X,or(carry,t4)),and(not(X),xor(carry,t6))) = xor(X,xor(carry,t6)),
inference(resolve,[$cnf( $equal(or(and(X,not(xor(carry,t6))),and(not(X),xor(carry,t6))),xor(X,xor(carry,t6))) )],[refute_0_3613,refute_0_3622]) ).
cnf(refute_0_3624,plain,
xor(not(X),X_64) = xor(X,not(X_64)),
inference(subst,[],[refute_0_468:[bind(Y,$fot(X_64)),bind(X_63,$fot(X))]]) ).
cnf(refute_0_3625,plain,
( or(and(X,X_64),not(or(X,X_64))) != xor(not(X),X_64)
| xor(not(X),X_64) != xor(X,not(X_64))
| or(and(X,X_64),not(or(X,X_64))) = xor(X,not(X_64)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(and(X,X_64),not(or(X,X_64))),xor(X,not(X_64))) ),[0],$fot(xor(not(X),X_64))]]) ).
cnf(refute_0_3626,plain,
( or(and(X,X_64),not(or(X,X_64))) != xor(not(X),X_64)
| or(and(X,X_64),not(or(X,X_64))) = xor(X,not(X_64)) ),
inference(resolve,[$cnf( $equal(xor(not(X),X_64),xor(X,not(X_64))) )],[refute_0_3624,refute_0_3625]) ).
cnf(refute_0_3627,plain,
or(and(X,X_64),not(or(X,X_64))) = xor(X,not(X_64)),
inference(resolve,[$cnf( $equal(or(and(X,X_64),not(or(X,X_64))),xor(not(X),X_64)) )],[refute_0_426,refute_0_3626]) ).
cnf(refute_0_3628,plain,
xor(X,not(X_64)) = not(xor(X,X_64)),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(X)),bind(X_334,$fot(X_64))]]) ).
cnf(refute_0_3629,plain,
( or(and(X,X_64),not(or(X,X_64))) != xor(X,not(X_64))
| xor(X,not(X_64)) != not(xor(X,X_64))
| or(and(X,X_64),not(or(X,X_64))) = not(xor(X,X_64)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(and(X,X_64),not(or(X,X_64))),not(xor(X,X_64))) ),[0],$fot(xor(X,not(X_64)))]]) ).
cnf(refute_0_3630,plain,
( or(and(X,X_64),not(or(X,X_64))) != xor(X,not(X_64))
| or(and(X,X_64),not(or(X,X_64))) = not(xor(X,X_64)) ),
inference(resolve,[$cnf( $equal(xor(X,not(X_64)),not(xor(X,X_64))) )],[refute_0_3628,refute_0_3629]) ).
cnf(refute_0_3631,plain,
or(and(X,X_64),not(or(X,X_64))) = not(xor(X,X_64)),
inference(resolve,[$cnf( $equal(or(and(X,X_64),not(or(X,X_64))),xor(X,not(X_64))) )],[refute_0_3627,refute_0_3630]) ).
cnf(refute_0_3632,plain,
or(and(X,or(carry,t4)),not(or(X,or(carry,t4)))) = not(xor(X,or(carry,t4))),
inference(subst,[],[refute_0_3631:[bind(X_64,$fot(or(carry,t4)))]]) ).
cnf(refute_0_3633,plain,
not(or(X_25,not(xor(t1,t4)))) = and(not(X_25),xor(t1,t4)),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(t1,t4)))]]) ).
cnf(refute_0_3634,plain,
( not(or(X_25,not(xor(t1,t4)))) != and(not(X_25),xor(t1,t4))
| not(xor(t1,t4)) != or(carry,t4)
| not(or(X_25,or(carry,t4))) = and(not(X_25),xor(t1,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X_25,not(xor(t1,t4)))),and(not(X_25),xor(t1,t4))) ),[0,0,1],$fot(or(carry,t4))]]) ).
cnf(refute_0_3635,plain,
( not(or(X_25,not(xor(t1,t4)))) != and(not(X_25),xor(t1,t4))
| not(or(X_25,or(carry,t4))) = and(not(X_25),xor(t1,t4)) ),
inference(resolve,[$cnf( $equal(not(xor(t1,t4)),or(carry,t4)) )],[refute_0_1570,refute_0_3634]) ).
cnf(refute_0_3636,plain,
not(or(X_25,or(carry,t4))) = and(not(X_25),xor(t1,t4)),
inference(resolve,[$cnf( $equal(not(or(X_25,not(xor(t1,t4)))),and(not(X_25),xor(t1,t4))) )],[refute_0_3633,refute_0_3635]) ).
cnf(refute_0_3637,plain,
and(not(X_25),xor(t1,t4)) = and(not(X_25),xor(t1,t4)),
introduced(tautology,[refl,[$fot(and(not(X_25),xor(t1,t4)))]]) ).
cnf(refute_0_3638,plain,
( and(not(X_25),xor(t1,t4)) != and(not(X_25),xor(t1,t4))
| xor(t1,t4) != xor(carry,t6)
| and(not(X_25),xor(t1,t4)) = and(not(X_25),xor(carry,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(X_25),xor(t1,t4)),and(not(X_25),xor(t1,t4))) ),[1,1],$fot(xor(carry,t6))]]) ).
cnf(refute_0_3639,plain,
( xor(t1,t4) != xor(carry,t6)
| and(not(X_25),xor(t1,t4)) = and(not(X_25),xor(carry,t6)) ),
inference(resolve,[$cnf( $equal(and(not(X_25),xor(t1,t4)),and(not(X_25),xor(t1,t4))) )],[refute_0_3637,refute_0_3638]) ).
cnf(refute_0_3640,plain,
and(not(X_25),xor(t1,t4)) = and(not(X_25),xor(carry,t6)),
inference(resolve,[$cnf( $equal(xor(t1,t4),xor(carry,t6)) )],[refute_0_1496,refute_0_3639]) ).
cnf(refute_0_3641,plain,
( and(not(X_25),xor(t1,t4)) != and(not(X_25),xor(carry,t6))
| not(or(X_25,or(carry,t4))) != and(not(X_25),xor(t1,t4))
| not(or(X_25,or(carry,t4))) = and(not(X_25),xor(carry,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X_25,or(carry,t4))),and(not(X_25),xor(t1,t4))) ),[1],$fot(and(not(X_25),xor(carry,t6)))]]) ).
cnf(refute_0_3642,plain,
( not(or(X_25,or(carry,t4))) != and(not(X_25),xor(t1,t4))
| not(or(X_25,or(carry,t4))) = and(not(X_25),xor(carry,t6)) ),
inference(resolve,[$cnf( $equal(and(not(X_25),xor(t1,t4)),and(not(X_25),xor(carry,t6))) )],[refute_0_3640,refute_0_3641]) ).
cnf(refute_0_3643,plain,
not(or(X_25,or(carry,t4))) = and(not(X_25),xor(carry,t6)),
inference(resolve,[$cnf( $equal(not(or(X_25,or(carry,t4))),and(not(X_25),xor(t1,t4))) )],[refute_0_3636,refute_0_3642]) ).
cnf(refute_0_3644,plain,
( not(or(X_25,or(carry,t4))) != and(not(X_25),xor(carry,t6))
| and(not(X_25),xor(carry,t6)) = not(or(X_25,or(carry,t4))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X_25,or(carry,t4))))),bind(Y0,$fot(and(not(X_25),xor(carry,t6))))]]) ).
cnf(refute_0_3645,plain,
and(not(X_25),xor(carry,t6)) = not(or(X_25,or(carry,t4))),
inference(resolve,[$cnf( $equal(not(or(X_25,or(carry,t4))),and(not(X_25),xor(carry,t6))) )],[refute_0_3643,refute_0_3644]) ).
cnf(refute_0_3646,plain,
and(not(X),xor(carry,t6)) = not(or(X,or(carry,t4))),
inference(subst,[],[refute_0_3645:[bind(X_25,$fot(X))]]) ).
cnf(refute_0_3647,plain,
or(and(X,or(carry,t4)),and(not(X),xor(carry,t6))) = or(and(X,or(carry,t4)),and(not(X),xor(carry,t6))),
introduced(tautology,[refl,[$fot(or(and(X,or(carry,t4)),and(not(X),xor(carry,t6))))]]) ).
cnf(refute_0_3648,plain,
( and(not(X),xor(carry,t6)) != not(or(X,or(carry,t4)))
| or(and(X,or(carry,t4)),and(not(X),xor(carry,t6))) != or(and(X,or(carry,t4)),and(not(X),xor(carry,t6)))
| or(and(X,or(carry,t4)),and(not(X),xor(carry,t6))) = or(and(X,or(carry,t4)),not(or(X,or(carry,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X,or(carry,t4)),and(not(X),xor(carry,t6))),or(and(X,or(carry,t4)),and(not(X),xor(carry,t6)))) ),[1,1],$fot(not(or(X,or(carry,t4))))]]) ).
cnf(refute_0_3649,plain,
( and(not(X),xor(carry,t6)) != not(or(X,or(carry,t4)))
| or(and(X,or(carry,t4)),and(not(X),xor(carry,t6))) = or(and(X,or(carry,t4)),not(or(X,or(carry,t4)))) ),
inference(resolve,[$cnf( $equal(or(and(X,or(carry,t4)),and(not(X),xor(carry,t6))),or(and(X,or(carry,t4)),and(not(X),xor(carry,t6)))) )],[refute_0_3647,refute_0_3648]) ).
cnf(refute_0_3650,plain,
or(and(X,or(carry,t4)),and(not(X),xor(carry,t6))) = or(and(X,or(carry,t4)),not(or(X,or(carry,t4)))),
inference(resolve,[$cnf( $equal(and(not(X),xor(carry,t6)),not(or(X,or(carry,t4)))) )],[refute_0_3646,refute_0_3649]) ).
cnf(refute_0_3651,plain,
( or(and(X,or(carry,t4)),and(not(X),xor(carry,t6))) != or(and(X,or(carry,t4)),not(or(X,or(carry,t4))))
| or(and(X,or(carry,t4)),not(or(X,or(carry,t4)))) != not(xor(X,or(carry,t4)))
| or(and(X,or(carry,t4)),and(not(X),xor(carry,t6))) = not(xor(X,or(carry,t4))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(X,or(carry,t4)),and(not(X),xor(carry,t6))))),bind(Y0,$fot(or(and(X,or(carry,t4)),not(or(X,or(carry,t4)))))),bind(Z0,$fot(not(xor(X,or(carry,t4)))))]]) ).
cnf(refute_0_3652,plain,
( or(and(X,or(carry,t4)),not(or(X,or(carry,t4)))) != not(xor(X,or(carry,t4)))
| or(and(X,or(carry,t4)),and(not(X),xor(carry,t6))) = not(xor(X,or(carry,t4))) ),
inference(resolve,[$cnf( $equal(or(and(X,or(carry,t4)),and(not(X),xor(carry,t6))),or(and(X,or(carry,t4)),not(or(X,or(carry,t4))))) )],[refute_0_3650,refute_0_3651]) ).
cnf(refute_0_3653,plain,
or(and(X,or(carry,t4)),and(not(X),xor(carry,t6))) = not(xor(X,or(carry,t4))),
inference(resolve,[$cnf( $equal(or(and(X,or(carry,t4)),not(or(X,or(carry,t4)))),not(xor(X,or(carry,t4)))) )],[refute_0_3632,refute_0_3652]) ).
cnf(refute_0_3654,plain,
( or(and(X,or(carry,t4)),and(not(X),xor(carry,t6))) != not(xor(X,or(carry,t4)))
| or(and(X,or(carry,t4)),and(not(X),xor(carry,t6))) != xor(X,xor(carry,t6))
| not(xor(X,or(carry,t4))) = xor(X,xor(carry,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X,or(carry,t4)),and(not(X),xor(carry,t6))),xor(X,xor(carry,t6))) ),[0],$fot(not(xor(X,or(carry,t4))))]]) ).
cnf(refute_0_3655,plain,
( or(and(X,or(carry,t4)),and(not(X),xor(carry,t6))) != xor(X,xor(carry,t6))
| not(xor(X,or(carry,t4))) = xor(X,xor(carry,t6)) ),
inference(resolve,[$cnf( $equal(or(and(X,or(carry,t4)),and(not(X),xor(carry,t6))),not(xor(X,or(carry,t4)))) )],[refute_0_3653,refute_0_3654]) ).
cnf(refute_0_3656,plain,
not(xor(X,or(carry,t4))) = xor(X,xor(carry,t6)),
inference(resolve,[$cnf( $equal(or(and(X,or(carry,t4)),and(not(X),xor(carry,t6))),xor(X,xor(carry,t6))) )],[refute_0_3623,refute_0_3655]) ).
cnf(refute_0_3657,plain,
xor(X,or(carry,t4)) = xor(X,or(carry,t4)),
introduced(tautology,[refl,[$fot(xor(X,or(carry,t4)))]]) ).
cnf(refute_0_3658,plain,
( or(carry,t4) != or(b,t4)
| xor(X,or(carry,t4)) != xor(X,or(carry,t4))
| xor(X,or(carry,t4)) = xor(X,or(b,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,or(carry,t4)),xor(X,or(carry,t4))) ),[1,1],$fot(or(b,t4))]]) ).
cnf(refute_0_3659,plain,
( or(carry,t4) != or(b,t4)
| xor(X,or(carry,t4)) = xor(X,or(b,t4)) ),
inference(resolve,[$cnf( $equal(xor(X,or(carry,t4)),xor(X,or(carry,t4))) )],[refute_0_3657,refute_0_3658]) ).
cnf(refute_0_3660,plain,
xor(X,or(carry,t4)) = xor(X,or(b,t4)),
inference(resolve,[$cnf( $equal(or(carry,t4),or(b,t4)) )],[refute_0_2127,refute_0_3659]) ).
cnf(refute_0_3661,plain,
not(xor(X,or(carry,t4))) = not(xor(X,or(carry,t4))),
introduced(tautology,[refl,[$fot(not(xor(X,or(carry,t4))))]]) ).
cnf(refute_0_3662,plain,
( not(xor(X,or(carry,t4))) != not(xor(X,or(carry,t4)))
| xor(X,or(carry,t4)) != xor(X,or(b,t4))
| not(xor(X,or(carry,t4))) = not(xor(X,or(b,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(X,or(carry,t4))),not(xor(X,or(carry,t4)))) ),[1,0],$fot(xor(X,or(b,t4)))]]) ).
cnf(refute_0_3663,plain,
( xor(X,or(carry,t4)) != xor(X,or(b,t4))
| not(xor(X,or(carry,t4))) = not(xor(X,or(b,t4))) ),
inference(resolve,[$cnf( $equal(not(xor(X,or(carry,t4))),not(xor(X,or(carry,t4)))) )],[refute_0_3661,refute_0_3662]) ).
cnf(refute_0_3664,plain,
not(xor(X,or(carry,t4))) = not(xor(X,or(b,t4))),
inference(resolve,[$cnf( $equal(xor(X,or(carry,t4)),xor(X,or(b,t4))) )],[refute_0_3660,refute_0_3663]) ).
cnf(refute_0_3665,plain,
( not(xor(X,or(carry,t4))) != not(xor(X,or(b,t4)))
| not(xor(X,or(carry,t4))) != xor(X,xor(carry,t6))
| not(xor(X,or(b,t4))) = xor(X,xor(carry,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(X,or(carry,t4))),xor(X,xor(carry,t6))) ),[0],$fot(not(xor(X,or(b,t4))))]]) ).
cnf(refute_0_3666,plain,
( not(xor(X,or(carry,t4))) != xor(X,xor(carry,t6))
| not(xor(X,or(b,t4))) = xor(X,xor(carry,t6)) ),
inference(resolve,[$cnf( $equal(not(xor(X,or(carry,t4))),not(xor(X,or(b,t4)))) )],[refute_0_3664,refute_0_3665]) ).
cnf(refute_0_3667,plain,
xor(X,xor(carry,t6)) = xor(X,xor(carry,t6)),
introduced(tautology,[refl,[$fot(xor(X,xor(carry,t6)))]]) ).
cnf(refute_0_3668,plain,
( xor(X,xor(carry,t6)) != xor(X,xor(carry,t6))
| xor(carry,t6) != xor(b,t2)
| xor(X,xor(carry,t6)) = xor(X,xor(b,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,xor(carry,t6)),xor(X,xor(carry,t6))) ),[1,1],$fot(xor(b,t2))]]) ).
cnf(refute_0_3669,plain,
( xor(carry,t6) != xor(b,t2)
| xor(X,xor(carry,t6)) = xor(X,xor(b,t2)) ),
inference(resolve,[$cnf( $equal(xor(X,xor(carry,t6)),xor(X,xor(carry,t6))) )],[refute_0_3667,refute_0_3668]) ).
cnf(refute_0_3670,plain,
xor(X,xor(carry,t6)) = xor(X,xor(b,t2)),
inference(resolve,[$cnf( $equal(xor(carry,t6),xor(b,t2)) )],[refute_0_2228,refute_0_3669]) ).
cnf(refute_0_3671,plain,
( not(xor(X,or(b,t4))) != xor(X,xor(carry,t6))
| xor(X,xor(carry,t6)) != xor(X,xor(b,t2))
| not(xor(X,or(b,t4))) = xor(X,xor(b,t2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(X,or(b,t4))),xor(X,xor(b,t2))) ),[0],$fot(xor(X,xor(carry,t6)))]]) ).
cnf(refute_0_3672,plain,
( not(xor(X,or(b,t4))) != xor(X,xor(carry,t6))
| not(xor(X,or(b,t4))) = xor(X,xor(b,t2)) ),
inference(resolve,[$cnf( $equal(xor(X,xor(carry,t6)),xor(X,xor(b,t2))) )],[refute_0_3670,refute_0_3671]) ).
cnf(refute_0_3673,plain,
( not(xor(X,or(carry,t4))) != xor(X,xor(carry,t6))
| not(xor(X,or(b,t4))) = xor(X,xor(b,t2)) ),
inference(resolve,[$cnf( $equal(not(xor(X,or(b,t4))),xor(X,xor(carry,t6))) )],[refute_0_3666,refute_0_3672]) ).
cnf(refute_0_3674,plain,
not(xor(X,or(b,t4))) = xor(X,xor(b,t2)),
inference(resolve,[$cnf( $equal(not(xor(X,or(carry,t4))),xor(X,xor(carry,t6))) )],[refute_0_3656,refute_0_3673]) ).
cnf(refute_0_3675,plain,
not(xor(b,or(b,t4))) = xor(b,xor(b,t2)),
inference(subst,[],[refute_0_3674:[bind(X,$fot(b))]]) ).
cnf(refute_0_3676,plain,
( not(xor(b,or(b,t4))) != xor(b,xor(b,t2))
| xor(b,xor(b,t2)) != t2
| not(xor(b,or(b,t4))) = t2 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(b,or(b,t4))))),bind(Y0,$fot(xor(b,xor(b,t2)))),bind(Z0,$fot(t2))]]) ).
cnf(refute_0_3677,plain,
( xor(b,xor(b,t2)) != t2
| not(xor(b,or(b,t4))) = t2 ),
inference(resolve,[$cnf( $equal(not(xor(b,or(b,t4))),xor(b,xor(b,t2))) )],[refute_0_3675,refute_0_3676]) ).
cnf(refute_0_3678,plain,
not(xor(b,or(b,t4))) = t2,
inference(resolve,[$cnf( $equal(xor(b,xor(b,t2)),t2) )],[refute_0_3612,refute_0_3677]) ).
cnf(refute_0_3679,plain,
not(xor(b,or(t4,and(b,t3)))) = not(xor(b,or(t4,and(b,t3)))),
introduced(tautology,[refl,[$fot(not(xor(b,or(t4,and(b,t3)))))]]) ).
cnf(refute_0_3680,plain,
( not(xor(b,or(t4,and(b,t3)))) != not(xor(b,or(t4,and(b,t3))))
| xor(b,or(t4,and(b,t3))) != xor(b,or(b,t4))
| not(xor(b,or(t4,and(b,t3)))) = not(xor(b,or(b,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(b,or(t4,and(b,t3)))),not(xor(b,or(t4,and(b,t3))))) ),[1,0],$fot(xor(b,or(b,t4)))]]) ).
cnf(refute_0_3681,plain,
( xor(b,or(t4,and(b,t3))) != xor(b,or(b,t4))
| not(xor(b,or(t4,and(b,t3)))) = not(xor(b,or(b,t4))) ),
inference(resolve,[$cnf( $equal(not(xor(b,or(t4,and(b,t3)))),not(xor(b,or(t4,and(b,t3))))) )],[refute_0_3679,refute_0_3680]) ).
cnf(refute_0_3682,plain,
not(xor(b,or(t4,and(b,t3)))) = not(xor(b,or(b,t4))),
inference(resolve,[$cnf( $equal(xor(b,or(t4,and(b,t3))),xor(b,or(b,t4))) )],[refute_0_3583,refute_0_3681]) ).
cnf(refute_0_3683,plain,
( not(xor(b,or(b,t4))) != t2
| not(xor(b,or(t4,and(b,t3)))) != not(xor(b,or(b,t4)))
| not(xor(b,or(t4,and(b,t3)))) = t2 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(b,or(t4,and(b,t3)))))),bind(Y0,$fot(not(xor(b,or(b,t4))))),bind(Z0,$fot(t2))]]) ).
cnf(refute_0_3684,plain,
( not(xor(b,or(b,t4))) != t2
| not(xor(b,or(t4,and(b,t3)))) = t2 ),
inference(resolve,[$cnf( $equal(not(xor(b,or(t4,and(b,t3)))),not(xor(b,or(b,t4)))) )],[refute_0_3682,refute_0_3683]) ).
cnf(refute_0_3685,plain,
not(xor(b,or(t4,and(b,t3)))) = t2,
inference(resolve,[$cnf( $equal(not(xor(b,or(b,t4))),t2) )],[refute_0_3678,refute_0_3684]) ).
cnf(refute_0_3686,plain,
( not(xor(b,or(t4,and(b,t3)))) != t2
| or(b,xor(b,t2)) != not(xor(b,or(t4,and(b,t3))))
| or(b,xor(b,t2)) = t2 ),
introduced(tautology,[equality,[$cnf( $equal(or(b,xor(b,t2)),not(xor(b,or(t4,and(b,t3))))) ),[1],$fot(t2)]]) ).
cnf(refute_0_3687,plain,
( or(b,xor(b,t2)) != not(xor(b,or(t4,and(b,t3))))
| or(b,xor(b,t2)) = t2 ),
inference(resolve,[$cnf( $equal(not(xor(b,or(t4,and(b,t3)))),t2) )],[refute_0_3685,refute_0_3686]) ).
cnf(refute_0_3688,plain,
( or(b,not(or(t4,and(b,t3)))) != not(xor(b,or(t4,and(b,t3))))
| or(b,xor(b,t2)) = t2 ),
inference(resolve,[$cnf( $equal(or(b,xor(b,t2)),not(xor(b,or(t4,and(b,t3))))) )],[refute_0_3611,refute_0_3687]) ).
cnf(refute_0_3689,plain,
or(b,xor(b,t2)) = t2,
inference(resolve,[$cnf( $equal(or(b,not(or(t4,and(b,t3)))),not(xor(b,or(t4,and(b,t3))))) )],[refute_0_3598,refute_0_3688]) ).
cnf(refute_0_3690,plain,
not(or(b,xor(b,t2))) = not(or(b,xor(b,t2))),
introduced(tautology,[refl,[$fot(not(or(b,xor(b,t2))))]]) ).
cnf(refute_0_3691,plain,
( not(or(b,xor(b,t2))) != not(or(b,xor(b,t2)))
| or(b,xor(b,t2)) != t2
| not(or(b,xor(b,t2))) = not(t2) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(b,xor(b,t2))),not(or(b,xor(b,t2)))) ),[1,0],$fot(t2)]]) ).
cnf(refute_0_3692,plain,
( or(b,xor(b,t2)) != t2
| not(or(b,xor(b,t2))) = not(t2) ),
inference(resolve,[$cnf( $equal(not(or(b,xor(b,t2))),not(or(b,xor(b,t2)))) )],[refute_0_3690,refute_0_3691]) ).
cnf(refute_0_3693,plain,
not(or(b,xor(b,t2))) = not(t2),
inference(resolve,[$cnf( $equal(or(b,xor(b,t2)),t2) )],[refute_0_3689,refute_0_3692]) ).
cnf(refute_0_3694,plain,
( not(or(b,xor(b,t2))) != not(t2)
| not(or(b,xor(b,t2))) != xor(b,or(b,t4))
| not(t2) = xor(b,or(b,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(b,xor(b,t2))),xor(b,or(b,t4))) ),[0],$fot(not(t2))]]) ).
cnf(refute_0_3695,plain,
( not(or(b,xor(b,t2))) != xor(b,or(b,t4))
| not(t2) = xor(b,or(b,t4)) ),
inference(resolve,[$cnf( $equal(not(or(b,xor(b,t2))),not(t2)) )],[refute_0_3693,refute_0_3694]) ).
cnf(refute_0_3696,plain,
not(t2) = xor(b,or(b,t4)),
inference(resolve,[$cnf( $equal(not(or(b,xor(b,t2))),xor(b,or(b,t4))) )],[refute_0_3587,refute_0_3695]) ).
cnf(refute_0_3697,plain,
( not(t2) != xor(b,or(b,t4))
| xor(b,or(b,t4)) = not(t2) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t2))),bind(Y0,$fot(xor(b,or(b,t4))))]]) ).
cnf(refute_0_3698,plain,
xor(b,or(b,t4)) = not(t2),
inference(resolve,[$cnf( $equal(not(t2),xor(b,or(b,t4))) )],[refute_0_3696,refute_0_3697]) ).
cnf(refute_0_3699,plain,
( xor(b,or(b,t4)) != not(t2)
| xor(b,or(t4,and(b,t3))) != xor(b,or(b,t4))
| xor(b,or(t4,and(b,t3))) = not(t2) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(b,or(t4,and(b,t3))))),bind(Y0,$fot(xor(b,or(b,t4)))),bind(Z0,$fot(not(t2)))]]) ).
cnf(refute_0_3700,plain,
( xor(b,or(b,t4)) != not(t2)
| xor(b,or(t4,and(b,t3))) = not(t2) ),
inference(resolve,[$cnf( $equal(xor(b,or(t4,and(b,t3))),xor(b,or(b,t4))) )],[refute_0_3583,refute_0_3699]) ).
cnf(refute_0_3701,plain,
xor(b,or(t4,and(b,t3))) = not(t2),
inference(resolve,[$cnf( $equal(xor(b,or(b,t4)),not(t2)) )],[refute_0_3698,refute_0_3700]) ).
cnf(refute_0_3702,plain,
or(not(t1),xor(b,or(t4,and(b,t3)))) = or(not(t1),xor(b,or(t4,and(b,t3)))),
introduced(tautology,[refl,[$fot(or(not(t1),xor(b,or(t4,and(b,t3)))))]]) ).
cnf(refute_0_3703,plain,
( or(not(t1),xor(b,or(t4,and(b,t3)))) != or(not(t1),xor(b,or(t4,and(b,t3))))
| xor(b,or(t4,and(b,t3))) != not(t2)
| or(not(t1),xor(b,or(t4,and(b,t3)))) = or(not(t1),not(t2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t1),xor(b,or(t4,and(b,t3)))),or(not(t1),xor(b,or(t4,and(b,t3))))) ),[1,1],$fot(not(t2))]]) ).
cnf(refute_0_3704,plain,
( xor(b,or(t4,and(b,t3))) != not(t2)
| or(not(t1),xor(b,or(t4,and(b,t3)))) = or(not(t1),not(t2)) ),
inference(resolve,[$cnf( $equal(or(not(t1),xor(b,or(t4,and(b,t3)))),or(not(t1),xor(b,or(t4,and(b,t3))))) )],[refute_0_3702,refute_0_3703]) ).
cnf(refute_0_3705,plain,
or(not(t1),xor(b,or(t4,and(b,t3)))) = or(not(t1),not(t2)),
inference(resolve,[$cnf( $equal(xor(b,or(t4,and(b,t3))),not(t2)) )],[refute_0_3701,refute_0_3704]) ).
cnf(refute_0_3706,plain,
or(and(b,t3),xor(b,or(t4,and(b,t3)))) = or(and(b,t3),xor(b,or(t4,and(b,t3)))),
introduced(tautology,[refl,[$fot(or(and(b,t3),xor(b,or(t4,and(b,t3)))))]]) ).
cnf(refute_0_3707,plain,
( and(b,t3) != not(t1)
| or(and(b,t3),xor(b,or(t4,and(b,t3)))) != or(and(b,t3),xor(b,or(t4,and(b,t3))))
| or(and(b,t3),xor(b,or(t4,and(b,t3)))) = or(not(t1),xor(b,or(t4,and(b,t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(b,t3),xor(b,or(t4,and(b,t3)))),or(and(b,t3),xor(b,or(t4,and(b,t3))))) ),[1,0],$fot(not(t1))]]) ).
cnf(refute_0_3708,plain,
( and(b,t3) != not(t1)
| or(and(b,t3),xor(b,or(t4,and(b,t3)))) = or(not(t1),xor(b,or(t4,and(b,t3)))) ),
inference(resolve,[$cnf( $equal(or(and(b,t3),xor(b,or(t4,and(b,t3)))),or(and(b,t3),xor(b,or(t4,and(b,t3))))) )],[refute_0_3706,refute_0_3707]) ).
cnf(refute_0_3709,plain,
or(and(b,t3),xor(b,or(t4,and(b,t3)))) = or(not(t1),xor(b,or(t4,and(b,t3)))),
inference(resolve,[$cnf( $equal(and(b,t3),not(t1)) )],[refute_0_3563,refute_0_3708]) ).
cnf(refute_0_3710,plain,
( or(and(b,t3),xor(b,or(t4,and(b,t3)))) != or(not(t1),xor(b,or(t4,and(b,t3))))
| or(not(t1),xor(b,or(t4,and(b,t3)))) != or(not(t1),not(t2))
| or(and(b,t3),xor(b,or(t4,and(b,t3)))) = or(not(t1),not(t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(b,t3),xor(b,or(t4,and(b,t3)))))),bind(Y0,$fot(or(not(t1),xor(b,or(t4,and(b,t3)))))),bind(Z0,$fot(or(not(t1),not(t2))))]]) ).
cnf(refute_0_3711,plain,
( or(not(t1),xor(b,or(t4,and(b,t3)))) != or(not(t1),not(t2))
| or(and(b,t3),xor(b,or(t4,and(b,t3)))) = or(not(t1),not(t2)) ),
inference(resolve,[$cnf( $equal(or(and(b,t3),xor(b,or(t4,and(b,t3)))),or(not(t1),xor(b,or(t4,and(b,t3))))) )],[refute_0_3709,refute_0_3710]) ).
cnf(refute_0_3712,plain,
or(and(b,t3),xor(b,or(t4,and(b,t3)))) = or(not(t1),not(t2)),
inference(resolve,[$cnf( $equal(or(not(t1),xor(b,or(t4,and(b,t3)))),or(not(t1),not(t2))) )],[refute_0_3705,refute_0_3711]) ).
cnf(refute_0_3713,plain,
( or(and(b,t3),xor(b,or(t4,and(b,t3)))) != or(not(t1),not(t2))
| or(not(t1),not(t2)) != a
| or(and(b,t3),xor(b,or(t4,and(b,t3)))) = a ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(b,t3),xor(b,or(t4,and(b,t3)))))),bind(Y0,$fot(or(not(t1),not(t2)))),bind(Z0,$fot(a))]]) ).
cnf(refute_0_3714,plain,
( or(not(t1),not(t2)) != a
| or(and(b,t3),xor(b,or(t4,and(b,t3)))) = a ),
inference(resolve,[$cnf( $equal(or(and(b,t3),xor(b,or(t4,and(b,t3)))),or(not(t1),not(t2))) )],[refute_0_3712,refute_0_3713]) ).
cnf(refute_0_3715,plain,
or(and(b,t3),xor(b,or(t4,and(b,t3)))) = a,
inference(resolve,[$cnf( $equal(or(not(t1),not(t2)),a) )],[refute_0_3432,refute_0_3714]) ).
cnf(refute_0_3716,plain,
or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3))))) = or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3))))),
introduced(tautology,[refl,[$fot(or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3))))))]]) ).
cnf(refute_0_3717,plain,
( or(and(b,t3),xor(b,or(t4,and(b,t3)))) != a
| or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3))))) != or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3)))))
| or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3))))) = or(t4,a) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3))))),or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3)))))) ),[1,1],$fot(a)]]) ).
cnf(refute_0_3718,plain,
( or(and(b,t3),xor(b,or(t4,and(b,t3)))) != a
| or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3))))) = or(t4,a) ),
inference(resolve,[$cnf( $equal(or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3))))),or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3)))))) )],[refute_0_3716,refute_0_3717]) ).
cnf(refute_0_3719,plain,
or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3))))) = or(t4,a),
inference(resolve,[$cnf( $equal(or(and(b,t3),xor(b,or(t4,and(b,t3)))),a) )],[refute_0_3715,refute_0_3718]) ).
cnf(refute_0_3720,plain,
( or(t4,a) != or(a,t4)
| or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3))))) != or(t4,a)
| or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3))))) = or(a,t4) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3))))))),bind(Y0,$fot(or(t4,a))),bind(Z0,$fot(or(a,t4)))]]) ).
cnf(refute_0_3721,plain,
( or(t4,a) != or(a,t4)
| or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3))))) = or(a,t4) ),
inference(resolve,[$cnf( $equal(or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3))))),or(t4,a)) )],[refute_0_3719,refute_0_3720]) ).
cnf(refute_0_3722,plain,
or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3))))) = or(a,t4),
inference(resolve,[$cnf( $equal(or(t4,a),or(a,t4)) )],[refute_0_3421,refute_0_3721]) ).
cnf(refute_0_3723,plain,
( or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3))))) != or(a,t4)
| or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3))))) != or(t4,and(b,t3))
| or(a,t4) = or(t4,and(b,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3))))),or(t4,and(b,t3))) ),[0],$fot(or(a,t4))]]) ).
cnf(refute_0_3724,plain,
( or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3))))) != or(t4,and(b,t3))
| or(a,t4) = or(t4,and(b,t3)) ),
inference(resolve,[$cnf( $equal(or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3))))),or(a,t4)) )],[refute_0_3722,refute_0_3723]) ).
cnf(refute_0_3725,plain,
( or(a,t4) != or(t4,and(b,t3))
| or(t4,and(b,t3)) != or(b,t4)
| or(a,t4) = or(b,t4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(a,t4),or(b,t4)) ),[0],$fot(or(t4,and(b,t3)))]]) ).
cnf(refute_0_3726,plain,
( or(a,t4) != or(t4,and(b,t3))
| or(a,t4) = or(b,t4) ),
inference(resolve,[$cnf( $equal(or(t4,and(b,t3)),or(b,t4)) )],[refute_0_3570,refute_0_3725]) ).
cnf(refute_0_3727,plain,
( or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3))))) != or(t4,and(b,t3))
| or(a,t4) = or(b,t4) ),
inference(resolve,[$cnf( $equal(or(a,t4),or(t4,and(b,t3))) )],[refute_0_3724,refute_0_3726]) ).
cnf(refute_0_3728,plain,
or(a,t4) = or(b,t4),
inference(resolve,[$cnf( $equal(or(t4,or(and(b,t3),xor(b,or(t4,and(b,t3))))),or(t4,and(b,t3))) )],[refute_0_3420,refute_0_3727]) ).
cnf(refute_0_3729,plain,
( or(a,t4) != or(b,t4)
| or(b,t4) = or(a,t4) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(a,t4))),bind(Y0,$fot(or(b,t4)))]]) ).
cnf(refute_0_3730,plain,
or(b,t4) = or(a,t4),
inference(resolve,[$cnf( $equal(or(a,t4),or(b,t4)) )],[refute_0_3728,refute_0_3729]) ).
cnf(refute_0_3731,plain,
and(carry,or(b,t4)) = and(carry,or(b,t4)),
introduced(tautology,[refl,[$fot(and(carry,or(b,t4)))]]) ).
cnf(refute_0_3732,plain,
( and(carry,or(b,t4)) != and(carry,or(b,t4))
| or(b,t4) != or(a,t4)
| and(carry,or(b,t4)) = and(carry,or(a,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,or(b,t4)),and(carry,or(b,t4))) ),[1,1],$fot(or(a,t4))]]) ).
cnf(refute_0_3733,plain,
( or(b,t4) != or(a,t4)
| and(carry,or(b,t4)) = and(carry,or(a,t4)) ),
inference(resolve,[$cnf( $equal(and(carry,or(b,t4)),and(carry,or(b,t4))) )],[refute_0_3731,refute_0_3732]) ).
cnf(refute_0_3734,plain,
and(carry,or(b,t4)) = and(carry,or(a,t4)),
inference(resolve,[$cnf( $equal(or(b,t4),or(a,t4)) )],[refute_0_3730,refute_0_3733]) ).
cnf(refute_0_3735,plain,
( and(carry,or(b,t4)) != and(carry,or(a,t4))
| and(carry,or(b,t4)) != carry
| and(carry,or(a,t4)) = carry ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,or(b,t4)),carry) ),[0],$fot(and(carry,or(a,t4)))]]) ).
cnf(refute_0_3736,plain,
( and(carry,or(b,t4)) != carry
| and(carry,or(a,t4)) = carry ),
inference(resolve,[$cnf( $equal(and(carry,or(b,t4)),and(carry,or(a,t4))) )],[refute_0_3734,refute_0_3735]) ).
cnf(refute_0_3737,plain,
and(carry,or(a,t4)) = carry,
inference(resolve,[$cnf( $equal(and(carry,or(b,t4)),carry) )],[refute_0_3308,refute_0_3736]) ).
cnf(refute_0_3738,plain,
and(carry,or(a,t4)) = and(carry,or(a,t4)),
introduced(tautology,[refl,[$fot(and(carry,or(a,t4)))]]) ).
cnf(refute_0_3739,plain,
( and(carry,or(a,t4)) != and(carry,or(a,t4))
| or(a,t4) != or(a,b)
| and(carry,or(a,t4)) = and(carry,or(a,b)) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,or(a,t4)),and(carry,or(a,t4))) ),[1,1],$fot(or(a,b))]]) ).
cnf(refute_0_3740,plain,
( or(a,t4) != or(a,b)
| and(carry,or(a,t4)) = and(carry,or(a,b)) ),
inference(resolve,[$cnf( $equal(and(carry,or(a,t4)),and(carry,or(a,t4))) )],[refute_0_3738,refute_0_3739]) ).
cnf(refute_0_3741,plain,
and(carry,or(a,t4)) = and(carry,or(a,b)),
inference(resolve,[$cnf( $equal(or(a,t4),or(a,b)) )],[refute_0_3071,refute_0_3740]) ).
cnf(refute_0_3742,plain,
( and(carry,or(a,t4)) != and(carry,or(a,b))
| and(carry,or(a,t4)) != carry
| and(carry,or(a,b)) = carry ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,or(a,t4)),carry) ),[0],$fot(and(carry,or(a,b)))]]) ).
cnf(refute_0_3743,plain,
( and(carry,or(a,t4)) != carry
| and(carry,or(a,b)) = carry ),
inference(resolve,[$cnf( $equal(and(carry,or(a,t4)),and(carry,or(a,b))) )],[refute_0_3741,refute_0_3742]) ).
cnf(refute_0_3744,plain,
and(carry,or(a,b)) = carry,
inference(resolve,[$cnf( $equal(and(carry,or(a,t4)),carry) )],[refute_0_3737,refute_0_3743]) ).
cnf(refute_0_3745,plain,
( and(carry,or(a,b)) != carry
| or(or(a,b),and(carry,or(a,b))) != or(a,b)
| or(or(a,b),carry) = or(a,b) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(a,b),and(carry,or(a,b))),or(a,b)) ),[0,1],$fot(carry)]]) ).
cnf(refute_0_3746,plain,
( or(or(a,b),and(carry,or(a,b))) != or(a,b)
| or(or(a,b),carry) = or(a,b) ),
inference(resolve,[$cnf( $equal(and(carry,or(a,b)),carry) )],[refute_0_3744,refute_0_3745]) ).
cnf(refute_0_3747,plain,
or(or(a,b),carry) = or(a,b),
inference(resolve,[$cnf( $equal(or(or(a,b),and(carry,or(a,b))),or(a,b)) )],[refute_0_3304,refute_0_3746]) ).
cnf(refute_0_3748,plain,
or(or(a,b),carry) = or(a,or(b,carry)),
inference(subst,[],[or_associative:[bind(X,$fot(a)),bind(Y,$fot(b)),bind(Z,$fot(carry))]]) ).
cnf(refute_0_3749,plain,
( or(or(a,b),carry) != or(a,b)
| or(or(a,b),carry) != or(a,or(b,carry))
| or(a,or(b,carry)) = or(a,b) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(a,b),carry),or(a,b)) ),[0],$fot(or(a,or(b,carry)))]]) ).
cnf(refute_0_3750,plain,
( or(or(a,b),carry) != or(a,b)
| or(a,or(b,carry)) = or(a,b) ),
inference(resolve,[$cnf( $equal(or(or(a,b),carry),or(a,or(b,carry))) )],[refute_0_3748,refute_0_3749]) ).
cnf(refute_0_3751,plain,
or(a,or(b,carry)) = or(a,b),
inference(resolve,[$cnf( $equal(or(or(a,b),carry),or(a,b)) )],[refute_0_3747,refute_0_3750]) ).
cnf(refute_0_3752,plain,
( or(a,or(b,carry)) != or(a,b)
| or(or(a,or(b,carry)),Z) != or(a,or(or(b,carry),Z))
| or(or(a,b),Z) = or(a,or(or(b,carry),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(a,or(b,carry)),Z),or(a,or(or(b,carry),Z))) ),[0,0],$fot(or(a,b))]]) ).
cnf(refute_0_3753,plain,
( or(or(a,or(b,carry)),Z) != or(a,or(or(b,carry),Z))
| or(or(a,b),Z) = or(a,or(or(b,carry),Z)) ),
inference(resolve,[$cnf( $equal(or(a,or(b,carry)),or(a,b)) )],[refute_0_3751,refute_0_3752]) ).
cnf(refute_0_3754,plain,
or(or(a,b),Z) = or(a,or(or(b,carry),Z)),
inference(resolve,[$cnf( $equal(or(or(a,or(b,carry)),Z),or(a,or(or(b,carry),Z))) )],[refute_0_3303,refute_0_3753]) ).
cnf(refute_0_3755,plain,
or(or(a,b),Z) = or(a,or(b,Z)),
inference(subst,[],[or_associative:[bind(X,$fot(a)),bind(Y,$fot(b))]]) ).
cnf(refute_0_3756,plain,
( or(or(a,b),Z) != or(a,or(b,Z))
| or(or(a,b),Z) != or(a,or(or(b,carry),Z))
| or(a,or(b,Z)) = or(a,or(or(b,carry),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(a,b),Z),or(a,or(or(b,carry),Z))) ),[0],$fot(or(a,or(b,Z)))]]) ).
cnf(refute_0_3757,plain,
( or(or(a,b),Z) != or(a,or(or(b,carry),Z))
| or(a,or(b,Z)) = or(a,or(or(b,carry),Z)) ),
inference(resolve,[$cnf( $equal(or(or(a,b),Z),or(a,or(b,Z))) )],[refute_0_3755,refute_0_3756]) ).
cnf(refute_0_3758,plain,
or(or(X,a),or(b,carry)) = or(X,or(a,or(b,carry))),
inference(subst,[],[or_associative:[bind(Y,$fot(a)),bind(Z,$fot(or(b,carry)))]]) ).
cnf(refute_0_3759,plain,
( or(a,or(b,carry)) != or(a,b)
| or(or(X,a),or(b,carry)) != or(X,or(a,or(b,carry)))
| or(or(X,a),or(b,carry)) = or(X,or(a,b)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(X,a),or(b,carry)),or(X,or(a,or(b,carry)))) ),[1,1],$fot(or(a,b))]]) ).
cnf(refute_0_3760,plain,
( or(or(X,a),or(b,carry)) != or(X,or(a,or(b,carry)))
| or(or(X,a),or(b,carry)) = or(X,or(a,b)) ),
inference(resolve,[$cnf( $equal(or(a,or(b,carry)),or(a,b)) )],[refute_0_3751,refute_0_3759]) ).
cnf(refute_0_3761,plain,
or(or(X,a),or(b,carry)) = or(X,or(a,b)),
inference(resolve,[$cnf( $equal(or(or(X,a),or(b,carry)),or(X,or(a,or(b,carry)))) )],[refute_0_3758,refute_0_3760]) ).
cnf(refute_0_3762,plain,
or(b,or(a,or(carry,X))) = or(a,or(b,or(carry,X))),
inference(subst,[],[refute_0_267:[bind(X_37,$fot(b)),bind(X_38,$fot(a)),bind(X_39,$fot(or(carry,X)))]]) ).
cnf(refute_0_3763,plain,
or(X,or(X_37,X_38)) = or(or(X_37,X_38),X),
inference(subst,[],[or_commutative:[bind(Y,$fot(or(X_37,X_38)))]]) ).
cnf(refute_0_3764,plain,
or(or(X_37,X_38),X) = or(X_37,or(X_38,X)),
inference(subst,[],[or_associative:[bind(X,$fot(X_37)),bind(Y,$fot(X_38)),bind(Z,$fot(X))]]) ).
cnf(refute_0_3765,plain,
( or(X,or(X_37,X_38)) != or(or(X_37,X_38),X)
| or(or(X_37,X_38),X) != or(X_37,or(X_38,X))
| or(X,or(X_37,X_38)) = or(X_37,or(X_38,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(X,or(X_37,X_38)),or(X_37,or(X_38,X))) ),[0],$fot(or(or(X_37,X_38),X))]]) ).
cnf(refute_0_3766,plain,
( or(X,or(X_37,X_38)) != or(or(X_37,X_38),X)
| or(X,or(X_37,X_38)) = or(X_37,or(X_38,X)) ),
inference(resolve,[$cnf( $equal(or(or(X_37,X_38),X),or(X_37,or(X_38,X))) )],[refute_0_3764,refute_0_3765]) ).
cnf(refute_0_3767,plain,
or(X,or(X_37,X_38)) = or(X_37,or(X_38,X)),
inference(resolve,[$cnf( $equal(or(X,or(X_37,X_38)),or(or(X_37,X_38),X)) )],[refute_0_3763,refute_0_3766]) ).
cnf(refute_0_3768,plain,
( or(X,or(X_37,X_38)) != or(X_37,or(X_38,X))
| or(X_37,or(X_38,X)) = or(X,or(X_37,X_38)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(X,or(X_37,X_38)))),bind(Y0,$fot(or(X_37,or(X_38,X))))]]) ).
cnf(refute_0_3769,plain,
or(X_37,or(X_38,X)) = or(X,or(X_37,X_38)),
inference(resolve,[$cnf( $equal(or(X,or(X_37,X_38)),or(X_37,or(X_38,X))) )],[refute_0_3767,refute_0_3768]) ).
cnf(refute_0_3770,plain,
or(carry,or(X,a)) = or(a,or(carry,X)),
inference(subst,[],[refute_0_3769:[bind(X,$fot(a)),bind(X_37,$fot(carry)),bind(X_38,$fot(X))]]) ).
cnf(refute_0_3771,plain,
or(b,or(carry,or(X,a))) = or(b,or(carry,or(X,a))),
introduced(tautology,[refl,[$fot(or(b,or(carry,or(X,a))))]]) ).
cnf(refute_0_3772,plain,
( or(b,or(carry,or(X,a))) != or(b,or(carry,or(X,a)))
| or(carry,or(X,a)) != or(a,or(carry,X))
| or(b,or(carry,or(X,a))) = or(b,or(a,or(carry,X))) ),
introduced(tautology,[equality,[$cnf( $equal(or(b,or(carry,or(X,a))),or(b,or(carry,or(X,a)))) ),[1,1],$fot(or(a,or(carry,X)))]]) ).
cnf(refute_0_3773,plain,
( or(carry,or(X,a)) != or(a,or(carry,X))
| or(b,or(carry,or(X,a))) = or(b,or(a,or(carry,X))) ),
inference(resolve,[$cnf( $equal(or(b,or(carry,or(X,a))),or(b,or(carry,or(X,a)))) )],[refute_0_3771,refute_0_3772]) ).
cnf(refute_0_3774,plain,
or(b,or(carry,or(X,a))) = or(b,or(a,or(carry,X))),
inference(resolve,[$cnf( $equal(or(carry,or(X,a)),or(a,or(carry,X))) )],[refute_0_3770,refute_0_3773]) ).
cnf(refute_0_3775,plain,
( or(b,or(a,or(carry,X))) != or(a,or(b,or(carry,X)))
| or(b,or(carry,or(X,a))) != or(b,or(a,or(carry,X)))
| or(b,or(carry,or(X,a))) = or(a,or(b,or(carry,X))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(b,or(carry,or(X,a))))),bind(Y0,$fot(or(b,or(a,or(carry,X))))),bind(Z0,$fot(or(a,or(b,or(carry,X)))))]]) ).
cnf(refute_0_3776,plain,
( or(b,or(a,or(carry,X))) != or(a,or(b,or(carry,X)))
| or(b,or(carry,or(X,a))) = or(a,or(b,or(carry,X))) ),
inference(resolve,[$cnf( $equal(or(b,or(carry,or(X,a))),or(b,or(a,or(carry,X)))) )],[refute_0_3774,refute_0_3775]) ).
cnf(refute_0_3777,plain,
or(b,or(carry,or(X,a))) = or(a,or(b,or(carry,X))),
inference(resolve,[$cnf( $equal(or(b,or(a,or(carry,X))),or(a,or(b,or(carry,X)))) )],[refute_0_3762,refute_0_3776]) ).
cnf(refute_0_3778,plain,
or(X_39,X_38) = or(X_38,X_39),
inference(subst,[],[or_commutative:[bind(X,$fot(X_39)),bind(Y,$fot(X_38))]]) ).
cnf(refute_0_3779,plain,
( or(X_39,X_38) != or(X_38,X_39)
| or(X_38,X_39) = or(X_39,X_38) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(X_39,X_38))),bind(Y0,$fot(or(X_38,X_39)))]]) ).
cnf(refute_0_3780,plain,
or(X_38,X_39) = or(X_39,X_38),
inference(resolve,[$cnf( $equal(or(X_39,X_38),or(X_38,X_39)) )],[refute_0_3778,refute_0_3779]) ).
cnf(refute_0_3781,plain,
( or(X_38,X_39) != or(X_39,X_38)
| or(or(X_37,X_38),X_39) != or(X_37,or(X_38,X_39))
| or(or(X_37,X_38),X_39) = or(X_37,or(X_39,X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(X_37,X_38),X_39),or(X_37,or(X_38,X_39))) ),[1,1],$fot(or(X_39,X_38))]]) ).
cnf(refute_0_3782,plain,
( or(or(X_37,X_38),X_39) != or(X_37,or(X_38,X_39))
| or(or(X_37,X_38),X_39) = or(X_37,or(X_39,X_38)) ),
inference(resolve,[$cnf( $equal(or(X_38,X_39),or(X_39,X_38)) )],[refute_0_3780,refute_0_3781]) ).
cnf(refute_0_3783,plain,
or(or(X_37,X_38),X_39) = or(X_37,or(X_39,X_38)),
inference(resolve,[$cnf( $equal(or(or(X_37,X_38),X_39),or(X_37,or(X_38,X_39))) )],[refute_0_255,refute_0_3782]) ).
cnf(refute_0_3784,plain,
( or(or(X_37,X_38),X_39) != or(X_37,or(X_38,X_39))
| or(or(X_37,X_38),X_39) != or(X_37,or(X_39,X_38))
| or(X_37,or(X_38,X_39)) = or(X_37,or(X_39,X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(X_37,X_38),X_39),or(X_37,or(X_39,X_38))) ),[0],$fot(or(X_37,or(X_38,X_39)))]]) ).
cnf(refute_0_3785,plain,
( or(or(X_37,X_38),X_39) != or(X_37,or(X_39,X_38))
| or(X_37,or(X_38,X_39)) = or(X_37,or(X_39,X_38)) ),
inference(resolve,[$cnf( $equal(or(or(X_37,X_38),X_39),or(X_37,or(X_38,X_39))) )],[refute_0_255,refute_0_3784]) ).
cnf(refute_0_3786,plain,
or(X_37,or(X_38,X_39)) = or(X_37,or(X_39,X_38)),
inference(resolve,[$cnf( $equal(or(or(X_37,X_38),X_39),or(X_37,or(X_39,X_38))) )],[refute_0_3783,refute_0_3785]) ).
cnf(refute_0_3787,plain,
( or(X_37,or(X_38,X_39)) != or(X_37,or(X_39,X_38))
| or(X_37,or(X_39,X_38)) = or(X_37,or(X_38,X_39)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(X_37,or(X_38,X_39)))),bind(Y0,$fot(or(X_37,or(X_39,X_38))))]]) ).
cnf(refute_0_3788,plain,
or(X_37,or(X_39,X_38)) = or(X_37,or(X_38,X_39)),
inference(resolve,[$cnf( $equal(or(X_37,or(X_38,X_39)),or(X_37,or(X_39,X_38))) )],[refute_0_3786,refute_0_3787]) ).
cnf(refute_0_3789,plain,
or(b,or(or(X,a),carry)) = or(b,or(carry,or(X,a))),
inference(subst,[],[refute_0_3788:[bind(X_37,$fot(b)),bind(X_38,$fot(carry)),bind(X_39,$fot(or(X,a)))]]) ).
cnf(refute_0_3790,plain,
or(or(X,a),or(b,carry)) = or(b,or(or(X,a),carry)),
inference(subst,[],[refute_0_267:[bind(X_37,$fot(or(X,a))),bind(X_38,$fot(b)),bind(X_39,$fot(carry))]]) ).
cnf(refute_0_3791,plain,
( or(b,or(or(X,a),carry)) != or(b,or(carry,or(X,a)))
| or(or(X,a),or(b,carry)) != or(b,or(or(X,a),carry))
| or(or(X,a),or(b,carry)) = or(b,or(carry,or(X,a))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(or(X,a),or(b,carry)))),bind(Y0,$fot(or(b,or(or(X,a),carry)))),bind(Z0,$fot(or(b,or(carry,or(X,a)))))]]) ).
cnf(refute_0_3792,plain,
( or(b,or(or(X,a),carry)) != or(b,or(carry,or(X,a)))
| or(or(X,a),or(b,carry)) = or(b,or(carry,or(X,a))) ),
inference(resolve,[$cnf( $equal(or(or(X,a),or(b,carry)),or(b,or(or(X,a),carry))) )],[refute_0_3790,refute_0_3791]) ).
cnf(refute_0_3793,plain,
or(or(X,a),or(b,carry)) = or(b,or(carry,or(X,a))),
inference(resolve,[$cnf( $equal(or(b,or(or(X,a),carry)),or(b,or(carry,or(X,a)))) )],[refute_0_3789,refute_0_3792]) ).
cnf(refute_0_3794,plain,
( or(b,or(carry,or(X,a))) != or(a,or(b,or(carry,X)))
| or(or(X,a),or(b,carry)) != or(b,or(carry,or(X,a)))
| or(or(X,a),or(b,carry)) = or(a,or(b,or(carry,X))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(or(X,a),or(b,carry)))),bind(Y0,$fot(or(b,or(carry,or(X,a))))),bind(Z0,$fot(or(a,or(b,or(carry,X)))))]]) ).
cnf(refute_0_3795,plain,
( or(b,or(carry,or(X,a))) != or(a,or(b,or(carry,X)))
| or(or(X,a),or(b,carry)) = or(a,or(b,or(carry,X))) ),
inference(resolve,[$cnf( $equal(or(or(X,a),or(b,carry)),or(b,or(carry,or(X,a)))) )],[refute_0_3793,refute_0_3794]) ).
cnf(refute_0_3796,plain,
or(or(X,a),or(b,carry)) = or(a,or(b,or(carry,X))),
inference(resolve,[$cnf( $equal(or(b,or(carry,or(X,a))),or(a,or(b,or(carry,X)))) )],[refute_0_3777,refute_0_3795]) ).
cnf(refute_0_3797,plain,
( or(or(X,a),or(b,carry)) != or(X,or(a,b))
| or(or(X,a),or(b,carry)) != or(a,or(b,or(carry,X)))
| or(a,or(b,or(carry,X))) = or(X,or(a,b)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(X,a),or(b,carry)),or(X,or(a,b))) ),[0],$fot(or(a,or(b,or(carry,X))))]]) ).
cnf(refute_0_3798,plain,
( or(or(X,a),or(b,carry)) != or(X,or(a,b))
| or(a,or(b,or(carry,X))) = or(X,or(a,b)) ),
inference(resolve,[$cnf( $equal(or(or(X,a),or(b,carry)),or(a,or(b,or(carry,X)))) )],[refute_0_3796,refute_0_3797]) ).
cnf(refute_0_3799,plain,
or(a,or(b,or(carry,X))) = or(X,or(a,b)),
inference(resolve,[$cnf( $equal(or(or(X,a),or(b,carry)),or(X,or(a,b))) )],[refute_0_3761,refute_0_3798]) ).
cnf(refute_0_3800,plain,
or(a,or(b,or(carry,Z))) = or(Z,or(a,b)),
inference(subst,[],[refute_0_3799:[bind(X,$fot(Z))]]) ).
cnf(refute_0_3801,plain,
or(or(b,carry),Z) = or(b,or(carry,Z)),
inference(subst,[],[or_associative:[bind(X,$fot(b)),bind(Y,$fot(carry))]]) ).
cnf(refute_0_3802,plain,
or(a,or(or(b,carry),Z)) = or(a,or(or(b,carry),Z)),
introduced(tautology,[refl,[$fot(or(a,or(or(b,carry),Z)))]]) ).
cnf(refute_0_3803,plain,
( or(a,or(or(b,carry),Z)) != or(a,or(or(b,carry),Z))
| or(or(b,carry),Z) != or(b,or(carry,Z))
| or(a,or(or(b,carry),Z)) = or(a,or(b,or(carry,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(or(a,or(or(b,carry),Z)),or(a,or(or(b,carry),Z))) ),[1,1],$fot(or(b,or(carry,Z)))]]) ).
cnf(refute_0_3804,plain,
( or(or(b,carry),Z) != or(b,or(carry,Z))
| or(a,or(or(b,carry),Z)) = or(a,or(b,or(carry,Z))) ),
inference(resolve,[$cnf( $equal(or(a,or(or(b,carry),Z)),or(a,or(or(b,carry),Z))) )],[refute_0_3802,refute_0_3803]) ).
cnf(refute_0_3805,plain,
or(a,or(or(b,carry),Z)) = or(a,or(b,or(carry,Z))),
inference(resolve,[$cnf( $equal(or(or(b,carry),Z),or(b,or(carry,Z))) )],[refute_0_3801,refute_0_3804]) ).
cnf(refute_0_3806,plain,
( or(a,or(b,or(carry,Z))) != or(Z,or(a,b))
| or(a,or(or(b,carry),Z)) != or(a,or(b,or(carry,Z)))
| or(a,or(or(b,carry),Z)) = or(Z,or(a,b)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(a,or(or(b,carry),Z)))),bind(Y0,$fot(or(a,or(b,or(carry,Z))))),bind(Z0,$fot(or(Z,or(a,b))))]]) ).
cnf(refute_0_3807,plain,
( or(a,or(b,or(carry,Z))) != or(Z,or(a,b))
| or(a,or(or(b,carry),Z)) = or(Z,or(a,b)) ),
inference(resolve,[$cnf( $equal(or(a,or(or(b,carry),Z)),or(a,or(b,or(carry,Z)))) )],[refute_0_3805,refute_0_3806]) ).
cnf(refute_0_3808,plain,
or(a,or(or(b,carry),Z)) = or(Z,or(a,b)),
inference(resolve,[$cnf( $equal(or(a,or(b,or(carry,Z))),or(Z,or(a,b))) )],[refute_0_3800,refute_0_3807]) ).
cnf(refute_0_3809,plain,
( or(a,or(b,Z)) != or(a,or(or(b,carry),Z))
| or(a,or(or(b,carry),Z)) != or(Z,or(a,b))
| or(a,or(b,Z)) = or(Z,or(a,b)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(a,or(b,Z)),or(Z,or(a,b))) ),[0],$fot(or(a,or(or(b,carry),Z)))]]) ).
cnf(refute_0_3810,plain,
( or(a,or(b,Z)) != or(a,or(or(b,carry),Z))
| or(a,or(b,Z)) = or(Z,or(a,b)) ),
inference(resolve,[$cnf( $equal(or(a,or(or(b,carry),Z)),or(Z,or(a,b))) )],[refute_0_3808,refute_0_3809]) ).
cnf(refute_0_3811,plain,
( or(or(a,b),Z) != or(a,or(or(b,carry),Z))
| or(a,or(b,Z)) = or(Z,or(a,b)) ),
inference(resolve,[$cnf( $equal(or(a,or(b,Z)),or(a,or(or(b,carry),Z))) )],[refute_0_3757,refute_0_3810]) ).
cnf(refute_0_3812,plain,
or(a,or(b,Z)) = or(Z,or(a,b)),
inference(resolve,[$cnf( $equal(or(or(a,b),Z),or(a,or(or(b,carry),Z))) )],[refute_0_3754,refute_0_3811]) ).
cnf(refute_0_3813,plain,
( or(a,or(b,Z)) != or(Z,or(a,b))
| or(Z,or(a,b)) = or(a,or(b,Z)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(a,or(b,Z)))),bind(Y0,$fot(or(Z,or(a,b))))]]) ).
cnf(refute_0_3814,plain,
or(Z,or(a,b)) = or(a,or(b,Z)),
inference(resolve,[$cnf( $equal(or(a,or(b,Z)),or(Z,or(a,b))) )],[refute_0_3812,refute_0_3813]) ).
cnf(refute_0_3815,plain,
or(t1,or(a,b)) = or(a,or(b,t1)),
inference(subst,[],[refute_0_3814:[bind(Z,$fot(t1))]]) ).
cnf(refute_0_3816,plain,
( or(a,or(b,t1)) != ll1
| or(t1,or(a,b)) != or(a,or(b,t1))
| or(t1,or(a,b)) = ll1 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t1,or(a,b)))),bind(Y0,$fot(or(a,or(b,t1)))),bind(Z0,$fot(ll1))]]) ).
cnf(refute_0_3817,plain,
( or(a,or(b,t1)) != ll1
| or(t1,or(a,b)) = ll1 ),
inference(resolve,[$cnf( $equal(or(t1,or(a,b)),or(a,or(b,t1))) )],[refute_0_3815,refute_0_3816]) ).
cnf(refute_0_3818,plain,
or(t1,or(a,b)) = ll1,
inference(resolve,[$cnf( $equal(or(a,or(b,t1)),ll1) )],[refute_0_3302,refute_0_3817]) ).
cnf(refute_0_3819,plain,
or(cin,or(t1,or(a,b))) = or(cin,or(t1,or(a,b))),
introduced(tautology,[refl,[$fot(or(cin,or(t1,or(a,b))))]]) ).
cnf(refute_0_3820,plain,
( or(cin,or(t1,or(a,b))) != or(cin,or(t1,or(a,b)))
| or(t1,or(a,b)) != ll1
| or(cin,or(t1,or(a,b))) = or(cin,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,or(t1,or(a,b))),or(cin,or(t1,or(a,b)))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_3821,plain,
( or(t1,or(a,b)) != ll1
| or(cin,or(t1,or(a,b))) = or(cin,ll1) ),
inference(resolve,[$cnf( $equal(or(cin,or(t1,or(a,b))),or(cin,or(t1,or(a,b)))) )],[refute_0_3819,refute_0_3820]) ).
cnf(refute_0_3822,plain,
or(cin,or(t1,or(a,b))) = or(cin,ll1),
inference(resolve,[$cnf( $equal(or(t1,or(a,b)),ll1) )],[refute_0_3818,refute_0_3821]) ).
cnf(refute_0_3823,plain,
( or(cin,ll1) != ll1
| or(cin,or(t1,or(a,b))) != or(cin,ll1)
| or(cin,or(t1,or(a,b))) = ll1 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(cin,or(t1,or(a,b))))),bind(Y0,$fot(or(cin,ll1))),bind(Z0,$fot(ll1))]]) ).
cnf(refute_0_3824,plain,
( or(cin,ll1) != ll1
| or(cin,or(t1,or(a,b))) = ll1 ),
inference(resolve,[$cnf( $equal(or(cin,or(t1,or(a,b))),or(cin,ll1)) )],[refute_0_3822,refute_0_3823]) ).
cnf(refute_0_3825,plain,
or(cin,or(t1,or(a,b))) = ll1,
inference(resolve,[$cnf( $equal(or(cin,ll1),ll1) )],[refute_0_3271,refute_0_3824]) ).
cnf(refute_0_3826,plain,
or(cin,or(or(a,b),t1)) = or(cin,or(t1,or(a,b))),
inference(subst,[],[refute_0_3788:[bind(X_37,$fot(cin)),bind(X_38,$fot(t1)),bind(X_39,$fot(or(a,b)))]]) ).
cnf(refute_0_3827,plain,
or(or(a,b),or(cin,t1)) = or(cin,or(or(a,b),t1)),
inference(subst,[],[refute_0_267:[bind(X_37,$fot(or(a,b))),bind(X_38,$fot(cin)),bind(X_39,$fot(t1))]]) ).
cnf(refute_0_3828,plain,
( or(cin,or(or(a,b),t1)) != or(cin,or(t1,or(a,b)))
| or(or(a,b),or(cin,t1)) != or(cin,or(or(a,b),t1))
| or(or(a,b),or(cin,t1)) = or(cin,or(t1,or(a,b))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(or(a,b),or(cin,t1)))),bind(Y0,$fot(or(cin,or(or(a,b),t1)))),bind(Z0,$fot(or(cin,or(t1,or(a,b)))))]]) ).
cnf(refute_0_3829,plain,
( or(cin,or(or(a,b),t1)) != or(cin,or(t1,or(a,b)))
| or(or(a,b),or(cin,t1)) = or(cin,or(t1,or(a,b))) ),
inference(resolve,[$cnf( $equal(or(or(a,b),or(cin,t1)),or(cin,or(or(a,b),t1))) )],[refute_0_3827,refute_0_3828]) ).
cnf(refute_0_3830,plain,
or(or(a,b),or(cin,t1)) = or(cin,or(t1,or(a,b))),
inference(resolve,[$cnf( $equal(or(cin,or(or(a,b),t1)),or(cin,or(t1,or(a,b)))) )],[refute_0_3826,refute_0_3829]) ).
cnf(refute_0_3831,plain,
( or(cin,or(t1,or(a,b))) != ll1
| or(or(a,b),or(cin,t1)) != or(cin,or(t1,or(a,b)))
| or(or(a,b),or(cin,t1)) = ll1 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(or(a,b),or(cin,t1)))),bind(Y0,$fot(or(cin,or(t1,or(a,b))))),bind(Z0,$fot(ll1))]]) ).
cnf(refute_0_3832,plain,
( or(cin,or(t1,or(a,b))) != ll1
| or(or(a,b),or(cin,t1)) = ll1 ),
inference(resolve,[$cnf( $equal(or(or(a,b),or(cin,t1)),or(cin,or(t1,or(a,b)))) )],[refute_0_3830,refute_0_3831]) ).
cnf(refute_0_3833,plain,
or(or(a,b),or(cin,t1)) = ll1,
inference(resolve,[$cnf( $equal(or(cin,or(t1,or(a,b))),ll1) )],[refute_0_3825,refute_0_3832]) ).
cnf(refute_0_3834,plain,
and(carry_def,or(or(a,b),or(cin,t1))) = and(carry_def,or(or(a,b),or(cin,t1))),
introduced(tautology,[refl,[$fot(and(carry_def,or(or(a,b),or(cin,t1))))]]) ).
cnf(refute_0_3835,plain,
( and(carry_def,or(or(a,b),or(cin,t1))) != and(carry_def,or(or(a,b),or(cin,t1)))
| or(or(a,b),or(cin,t1)) != ll1
| and(carry_def,or(or(a,b),or(cin,t1))) = and(carry_def,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry_def,or(or(a,b),or(cin,t1))),and(carry_def,or(or(a,b),or(cin,t1)))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_3836,plain,
( or(or(a,b),or(cin,t1)) != ll1
| and(carry_def,or(or(a,b),or(cin,t1))) = and(carry_def,ll1) ),
inference(resolve,[$cnf( $equal(and(carry_def,or(or(a,b),or(cin,t1))),and(carry_def,or(or(a,b),or(cin,t1)))) )],[refute_0_3834,refute_0_3835]) ).
cnf(refute_0_3837,plain,
and(carry_def,or(or(a,b),or(cin,t1))) = and(carry_def,ll1),
inference(resolve,[$cnf( $equal(or(or(a,b),or(cin,t1)),ll1) )],[refute_0_3833,refute_0_3836]) ).
cnf(refute_0_3838,plain,
( and(carry_def,ll1) != carry_def
| and(carry_def,or(or(a,b),or(cin,t1))) != and(carry_def,ll1)
| and(carry_def,or(or(a,b),or(cin,t1))) = carry_def ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(carry_def,or(or(a,b),or(cin,t1))))),bind(Y0,$fot(and(carry_def,ll1))),bind(Z0,$fot(carry_def))]]) ).
cnf(refute_0_3839,plain,
( and(carry_def,ll1) != carry_def
| and(carry_def,or(or(a,b),or(cin,t1))) = carry_def ),
inference(resolve,[$cnf( $equal(and(carry_def,or(or(a,b),or(cin,t1))),and(carry_def,ll1)) )],[refute_0_3837,refute_0_3838]) ).
cnf(refute_0_3840,plain,
and(carry_def,or(or(a,b),or(cin,t1))) = carry_def,
inference(resolve,[$cnf( $equal(and(carry_def,ll1),carry_def) )],[refute_0_3270,refute_0_3839]) ).
cnf(refute_0_3841,plain,
( and(X,or(Y,Z)) != or(and(X,Y),and(X,Z))
| or(and(X,Y),and(X,Z)) = and(X,or(Y,Z)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X,or(Y,Z)))),bind(Y0,$fot(or(and(X,Y),and(X,Z))))]]) ).
cnf(refute_0_3842,plain,
or(and(X,Y),and(X,Z)) = and(X,or(Y,Z)),
inference(resolve,[$cnf( $equal(and(X,or(Y,Z)),or(and(X,Y),and(X,Z))) )],[or_distributive,refute_0_3841]) ).
cnf(refute_0_3843,plain,
or(and(carry_def,or(a,b)),and(carry_def,or(cin,t1))) = and(carry_def,or(or(a,b),or(cin,t1))),
inference(subst,[],[refute_0_3842:[bind(X,$fot(carry_def)),bind(Y,$fot(or(a,b))),bind(Z,$fot(or(cin,t1)))]]) ).
cnf(refute_0_3844,plain,
( and(carry_def,or(or(a,b),or(cin,t1))) != carry_def
| or(and(carry_def,or(a,b)),and(carry_def,or(cin,t1))) != and(carry_def,or(or(a,b),or(cin,t1)))
| or(and(carry_def,or(a,b)),and(carry_def,or(cin,t1))) = carry_def ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(carry_def,or(a,b)),and(carry_def,or(cin,t1))))),bind(Y0,$fot(and(carry_def,or(or(a,b),or(cin,t1))))),bind(Z0,$fot(carry_def))]]) ).
cnf(refute_0_3845,plain,
( and(carry_def,or(or(a,b),or(cin,t1))) != carry_def
| or(and(carry_def,or(a,b)),and(carry_def,or(cin,t1))) = carry_def ),
inference(resolve,[$cnf( $equal(or(and(carry_def,or(a,b)),and(carry_def,or(cin,t1))),and(carry_def,or(or(a,b),or(cin,t1)))) )],[refute_0_3843,refute_0_3844]) ).
cnf(refute_0_3846,plain,
or(and(carry_def,or(a,b)),and(carry_def,or(cin,t1))) = carry_def,
inference(resolve,[$cnf( $equal(and(carry_def,or(or(a,b),or(cin,t1))),carry_def) )],[refute_0_3840,refute_0_3845]) ).
cnf(refute_0_3847,plain,
( and(carry_def,or(cin,t1)) != and(cin,or(a,b))
| and(cin,or(a,b)) = and(carry_def,or(cin,t1)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(carry_def,or(cin,t1)))),bind(Y0,$fot(and(cin,or(a,b))))]]) ).
cnf(refute_0_3848,plain,
and(cin,or(a,b)) = and(carry_def,or(cin,t1)),
inference(resolve,[$cnf( $equal(and(carry_def,or(cin,t1)),and(cin,or(a,b))) )],[refute_0_3204,refute_0_3847]) ).
cnf(refute_0_3849,plain,
or(and(carry_def,or(a,b)),and(cin,or(a,b))) = or(and(carry_def,or(a,b)),and(cin,or(a,b))),
introduced(tautology,[refl,[$fot(or(and(carry_def,or(a,b)),and(cin,or(a,b))))]]) ).
cnf(refute_0_3850,plain,
( and(cin,or(a,b)) != and(carry_def,or(cin,t1))
| or(and(carry_def,or(a,b)),and(cin,or(a,b))) != or(and(carry_def,or(a,b)),and(cin,or(a,b)))
| or(and(carry_def,or(a,b)),and(cin,or(a,b))) = or(and(carry_def,or(a,b)),and(carry_def,or(cin,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(carry_def,or(a,b)),and(cin,or(a,b))),or(and(carry_def,or(a,b)),and(cin,or(a,b)))) ),[1,1],$fot(and(carry_def,or(cin,t1)))]]) ).
cnf(refute_0_3851,plain,
( and(cin,or(a,b)) != and(carry_def,or(cin,t1))
| or(and(carry_def,or(a,b)),and(cin,or(a,b))) = or(and(carry_def,or(a,b)),and(carry_def,or(cin,t1))) ),
inference(resolve,[$cnf( $equal(or(and(carry_def,or(a,b)),and(cin,or(a,b))),or(and(carry_def,or(a,b)),and(cin,or(a,b)))) )],[refute_0_3849,refute_0_3850]) ).
cnf(refute_0_3852,plain,
or(and(carry_def,or(a,b)),and(cin,or(a,b))) = or(and(carry_def,or(a,b)),and(carry_def,or(cin,t1))),
inference(resolve,[$cnf( $equal(and(cin,or(a,b)),and(carry_def,or(cin,t1))) )],[refute_0_3848,refute_0_3851]) ).
cnf(refute_0_3853,plain,
( or(and(carry_def,or(a,b)),and(carry_def,or(cin,t1))) != carry_def
| or(and(carry_def,or(a,b)),and(cin,or(a,b))) != or(and(carry_def,or(a,b)),and(carry_def,or(cin,t1)))
| or(and(carry_def,or(a,b)),and(cin,or(a,b))) = carry_def ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(carry_def,or(a,b)),and(cin,or(a,b))))),bind(Y0,$fot(or(and(carry_def,or(a,b)),and(carry_def,or(cin,t1))))),bind(Z0,$fot(carry_def))]]) ).
cnf(refute_0_3854,plain,
( or(and(carry_def,or(a,b)),and(carry_def,or(cin,t1))) != carry_def
| or(and(carry_def,or(a,b)),and(cin,or(a,b))) = carry_def ),
inference(resolve,[$cnf( $equal(or(and(carry_def,or(a,b)),and(cin,or(a,b))),or(and(carry_def,or(a,b)),and(carry_def,or(cin,t1)))) )],[refute_0_3852,refute_0_3853]) ).
cnf(refute_0_3855,plain,
or(and(carry_def,or(a,b)),and(cin,or(a,b))) = carry_def,
inference(resolve,[$cnf( $equal(or(and(carry_def,or(a,b)),and(carry_def,or(cin,t1))),carry_def) )],[refute_0_3846,refute_0_3854]) ).
cnf(refute_0_3856,plain,
( or(and(carry_def,or(a,b)),and(cin,or(a,b))) != and(carry_def,or(a,b))
| or(and(carry_def,or(a,b)),and(cin,or(a,b))) != carry_def
| carry_def = and(carry_def,or(a,b)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(carry_def,or(a,b)),and(cin,or(a,b))),and(carry_def,or(a,b))) ),[0],$fot(carry_def)]]) ).
cnf(refute_0_3857,plain,
( or(and(carry_def,or(a,b)),and(cin,or(a,b))) != and(carry_def,or(a,b))
| carry_def = and(carry_def,or(a,b)) ),
inference(resolve,[$cnf( $equal(or(and(carry_def,or(a,b)),and(cin,or(a,b))),carry_def) )],[refute_0_3855,refute_0_3856]) ).
cnf(refute_0_3858,plain,
carry_def = and(carry_def,or(a,b)),
inference(resolve,[$cnf( $equal(or(and(carry_def,or(a,b)),and(cin,or(a,b))),and(carry_def,or(a,b))) )],[refute_0_3269,refute_0_3857]) ).
cnf(refute_0_3859,plain,
( carry_def != and(carry_def,or(a,b))
| and(carry_def,or(a,b)) = carry_def ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(carry_def)),bind(Y0,$fot(and(carry_def,or(a,b))))]]) ).
cnf(refute_0_3860,plain,
and(carry_def,or(a,b)) = carry_def,
inference(resolve,[$cnf( $equal(carry_def,and(carry_def,or(a,b))) )],[refute_0_3858,refute_0_3859]) ).
cnf(refute_0_3861,plain,
and(X_220,and(carry_def,or(a,b))) = and(X_220,and(carry_def,or(a,b))),
introduced(tautology,[refl,[$fot(and(X_220,and(carry_def,or(a,b))))]]) ).
cnf(refute_0_3862,plain,
( and(X_220,and(carry_def,or(a,b))) != and(X_220,and(carry_def,or(a,b)))
| and(carry_def,or(a,b)) != carry_def
| and(X_220,and(carry_def,or(a,b))) = and(X_220,carry_def) ),
introduced(tautology,[equality,[$cnf( $equal(and(X_220,and(carry_def,or(a,b))),and(X_220,and(carry_def,or(a,b)))) ),[1,1],$fot(carry_def)]]) ).
cnf(refute_0_3863,plain,
( and(carry_def,or(a,b)) != carry_def
| and(X_220,and(carry_def,or(a,b))) = and(X_220,carry_def) ),
inference(resolve,[$cnf( $equal(and(X_220,and(carry_def,or(a,b))),and(X_220,and(carry_def,or(a,b)))) )],[refute_0_3861,refute_0_3862]) ).
cnf(refute_0_3864,plain,
and(X_220,and(carry_def,or(a,b))) = and(X_220,carry_def),
inference(resolve,[$cnf( $equal(and(carry_def,or(a,b)),carry_def) )],[refute_0_3860,refute_0_3863]) ).
cnf(refute_0_3865,plain,
and(cin,and(X_220,and(carry_def,or(a,b)))) = and(cin,and(X_220,and(carry_def,or(a,b)))),
introduced(tautology,[refl,[$fot(and(cin,and(X_220,and(carry_def,or(a,b)))))]]) ).
cnf(refute_0_3866,plain,
( and(X_220,and(carry_def,or(a,b))) != and(X_220,carry_def)
| and(cin,and(X_220,and(carry_def,or(a,b)))) != and(cin,and(X_220,and(carry_def,or(a,b))))
| and(cin,and(X_220,and(carry_def,or(a,b)))) = and(cin,and(X_220,carry_def)) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,and(X_220,and(carry_def,or(a,b)))),and(cin,and(X_220,and(carry_def,or(a,b))))) ),[1,1],$fot(and(X_220,carry_def))]]) ).
cnf(refute_0_3867,plain,
( and(X_220,and(carry_def,or(a,b))) != and(X_220,carry_def)
| and(cin,and(X_220,and(carry_def,or(a,b)))) = and(cin,and(X_220,carry_def)) ),
inference(resolve,[$cnf( $equal(and(cin,and(X_220,and(carry_def,or(a,b)))),and(cin,and(X_220,and(carry_def,or(a,b))))) )],[refute_0_3865,refute_0_3866]) ).
cnf(refute_0_3868,plain,
and(cin,and(X_220,and(carry_def,or(a,b)))) = and(cin,and(X_220,carry_def)),
inference(resolve,[$cnf( $equal(and(X_220,and(carry_def,or(a,b))),and(X_220,carry_def)) )],[refute_0_3864,refute_0_3867]) ).
cnf(refute_0_3869,plain,
( and(cin,and(X_220,and(carry_def,or(a,b)))) != and(cin,and(X_220,carry_def))
| and(cin,and(X_220,carry_def)) != and(carry_def,and(cin,X_220))
| and(cin,and(X_220,and(carry_def,or(a,b)))) = and(carry_def,and(cin,X_220)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(cin,and(X_220,and(carry_def,or(a,b)))))),bind(Y0,$fot(and(cin,and(X_220,carry_def)))),bind(Z0,$fot(and(carry_def,and(cin,X_220))))]]) ).
cnf(refute_0_3870,plain,
( and(cin,and(X_220,carry_def)) != and(carry_def,and(cin,X_220))
| and(cin,and(X_220,and(carry_def,or(a,b)))) = and(carry_def,and(cin,X_220)) ),
inference(resolve,[$cnf( $equal(and(cin,and(X_220,and(carry_def,or(a,b)))),and(cin,and(X_220,carry_def))) )],[refute_0_3868,refute_0_3869]) ).
cnf(refute_0_3871,plain,
and(cin,and(X_220,and(carry_def,or(a,b)))) = and(carry_def,and(cin,X_220)),
inference(resolve,[$cnf( $equal(and(cin,and(X_220,carry_def)),and(carry_def,and(cin,X_220))) )],[refute_0_3265,refute_0_3870]) ).
cnf(refute_0_3872,plain,
( and(cin,and(X_220,and(carry_def,or(a,b)))) != and(X_220,and(cin,or(a,b)))
| and(cin,and(X_220,and(carry_def,or(a,b)))) != and(carry_def,and(cin,X_220))
| and(carry_def,and(cin,X_220)) = and(X_220,and(cin,or(a,b))) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,and(X_220,and(carry_def,or(a,b)))),and(X_220,and(cin,or(a,b)))) ),[0],$fot(and(carry_def,and(cin,X_220)))]]) ).
cnf(refute_0_3873,plain,
( and(cin,and(X_220,and(carry_def,or(a,b)))) != and(X_220,and(cin,or(a,b)))
| and(carry_def,and(cin,X_220)) = and(X_220,and(cin,or(a,b))) ),
inference(resolve,[$cnf( $equal(and(cin,and(X_220,and(carry_def,or(a,b)))),and(carry_def,and(cin,X_220))) )],[refute_0_3871,refute_0_3872]) ).
cnf(refute_0_3874,plain,
and(X_220,and(cin,or(a,b))) = and(X_220,and(cin,or(a,b))),
introduced(tautology,[refl,[$fot(and(X_220,and(cin,or(a,b))))]]) ).
cnf(refute_0_3875,plain,
( and(X_220,and(cin,or(a,b))) != and(X_220,and(cin,or(a,b)))
| and(cin,or(a,b)) != and(carry_def,or(cin,t1))
| and(X_220,and(cin,or(a,b))) = and(X_220,and(carry_def,or(cin,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(and(X_220,and(cin,or(a,b))),and(X_220,and(cin,or(a,b)))) ),[1,1],$fot(and(carry_def,or(cin,t1)))]]) ).
cnf(refute_0_3876,plain,
( and(cin,or(a,b)) != and(carry_def,or(cin,t1))
| and(X_220,and(cin,or(a,b))) = and(X_220,and(carry_def,or(cin,t1))) ),
inference(resolve,[$cnf( $equal(and(X_220,and(cin,or(a,b))),and(X_220,and(cin,or(a,b)))) )],[refute_0_3874,refute_0_3875]) ).
cnf(refute_0_3877,plain,
and(X_220,and(cin,or(a,b))) = and(X_220,and(carry_def,or(cin,t1))),
inference(resolve,[$cnf( $equal(and(cin,or(a,b)),and(carry_def,or(cin,t1))) )],[refute_0_3848,refute_0_3876]) ).
cnf(refute_0_3878,plain,
( and(X_220,and(cin,or(a,b))) != and(X_220,and(carry_def,or(cin,t1)))
| and(carry_def,and(cin,X_220)) != and(X_220,and(cin,or(a,b)))
| and(carry_def,and(cin,X_220)) = and(X_220,and(carry_def,or(cin,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry_def,and(cin,X_220)),and(X_220,and(cin,or(a,b)))) ),[1],$fot(and(X_220,and(carry_def,or(cin,t1))))]]) ).
cnf(refute_0_3879,plain,
( and(carry_def,and(cin,X_220)) != and(X_220,and(cin,or(a,b)))
| and(carry_def,and(cin,X_220)) = and(X_220,and(carry_def,or(cin,t1))) ),
inference(resolve,[$cnf( $equal(and(X_220,and(cin,or(a,b))),and(X_220,and(carry_def,or(cin,t1)))) )],[refute_0_3877,refute_0_3878]) ).
cnf(refute_0_3880,plain,
( and(cin,and(X_220,and(carry_def,or(a,b)))) != and(X_220,and(cin,or(a,b)))
| and(carry_def,and(cin,X_220)) = and(X_220,and(carry_def,or(cin,t1))) ),
inference(resolve,[$cnf( $equal(and(carry_def,and(cin,X_220)),and(X_220,and(cin,or(a,b)))) )],[refute_0_3873,refute_0_3879]) ).
cnf(refute_0_3881,plain,
and(carry_def,and(cin,X_220)) = and(X_220,and(carry_def,or(cin,t1))),
inference(resolve,[$cnf( $equal(and(cin,and(X_220,and(carry_def,or(a,b)))),and(X_220,and(cin,or(a,b)))) )],[refute_0_3264,refute_0_3880]) ).
cnf(refute_0_3882,plain,
( and(carry_def,and(cin,X_220)) != and(X_220,and(carry_def,or(cin,t1)))
| and(X_220,and(carry_def,or(cin,t1))) = and(carry_def,and(cin,X_220)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(carry_def,and(cin,X_220)))),bind(Y0,$fot(and(X_220,and(carry_def,or(cin,t1)))))]]) ).
cnf(refute_0_3883,plain,
and(X_220,and(carry_def,or(cin,t1))) = and(carry_def,and(cin,X_220)),
inference(resolve,[$cnf( $equal(and(carry_def,and(cin,X_220)),and(X_220,and(carry_def,or(cin,t1)))) )],[refute_0_3881,refute_0_3882]) ).
cnf(refute_0_3884,plain,
and(carry_def,and(carry_def,or(cin,t1))) = and(carry_def,and(cin,carry_def)),
inference(subst,[],[refute_0_3883:[bind(X_220,$fot(carry_def))]]) ).
cnf(refute_0_3885,plain,
( and(carry_def,and(carry_def,or(cin,t1))) != and(carry_def,and(cin,carry_def))
| and(carry_def,and(cin,carry_def)) != and(carry_def,cin)
| and(carry_def,and(carry_def,or(cin,t1))) = and(carry_def,cin) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(carry_def,and(carry_def,or(cin,t1))))),bind(Y0,$fot(and(carry_def,and(cin,carry_def)))),bind(Z0,$fot(and(carry_def,cin)))]]) ).
cnf(refute_0_3886,plain,
( and(carry_def,and(cin,carry_def)) != and(carry_def,cin)
| and(carry_def,and(carry_def,or(cin,t1))) = and(carry_def,cin) ),
inference(resolve,[$cnf( $equal(and(carry_def,and(carry_def,or(cin,t1))),and(carry_def,and(cin,carry_def))) )],[refute_0_3884,refute_0_3885]) ).
cnf(refute_0_3887,plain,
and(carry_def,and(carry_def,or(cin,t1))) = and(carry_def,cin),
inference(resolve,[$cnf( $equal(and(carry_def,and(cin,carry_def)),and(carry_def,cin)) )],[refute_0_3248,refute_0_3886]) ).
cnf(refute_0_3888,plain,
and(carry_def,and(cin,or(a,b))) = and(carry_def,and(cin,or(a,b))),
introduced(tautology,[refl,[$fot(and(carry_def,and(cin,or(a,b))))]]) ).
cnf(refute_0_3889,plain,
( and(carry_def,and(cin,or(a,b))) != and(carry_def,and(cin,or(a,b)))
| and(cin,or(a,b)) != and(carry_def,or(cin,t1))
| and(carry_def,and(cin,or(a,b))) = and(carry_def,and(carry_def,or(cin,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry_def,and(cin,or(a,b))),and(carry_def,and(cin,or(a,b)))) ),[1,1],$fot(and(carry_def,or(cin,t1)))]]) ).
cnf(refute_0_3890,plain,
( and(cin,or(a,b)) != and(carry_def,or(cin,t1))
| and(carry_def,and(cin,or(a,b))) = and(carry_def,and(carry_def,or(cin,t1))) ),
inference(resolve,[$cnf( $equal(and(carry_def,and(cin,or(a,b))),and(carry_def,and(cin,or(a,b)))) )],[refute_0_3888,refute_0_3889]) ).
cnf(refute_0_3891,plain,
and(carry_def,and(cin,or(a,b))) = and(carry_def,and(carry_def,or(cin,t1))),
inference(resolve,[$cnf( $equal(and(cin,or(a,b)),and(carry_def,or(cin,t1))) )],[refute_0_3848,refute_0_3890]) ).
cnf(refute_0_3892,plain,
( and(carry_def,and(carry_def,or(cin,t1))) != and(carry_def,cin)
| and(carry_def,and(cin,or(a,b))) != and(carry_def,and(carry_def,or(cin,t1)))
| and(carry_def,and(cin,or(a,b))) = and(carry_def,cin) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(carry_def,and(cin,or(a,b))))),bind(Y0,$fot(and(carry_def,and(carry_def,or(cin,t1))))),bind(Z0,$fot(and(carry_def,cin)))]]) ).
cnf(refute_0_3893,plain,
( and(carry_def,and(carry_def,or(cin,t1))) != and(carry_def,cin)
| and(carry_def,and(cin,or(a,b))) = and(carry_def,cin) ),
inference(resolve,[$cnf( $equal(and(carry_def,and(cin,or(a,b))),and(carry_def,and(carry_def,or(cin,t1)))) )],[refute_0_3891,refute_0_3892]) ).
cnf(refute_0_3894,plain,
and(carry_def,and(cin,or(a,b))) = and(carry_def,cin),
inference(resolve,[$cnf( $equal(and(carry_def,and(carry_def,or(cin,t1))),and(carry_def,cin)) )],[refute_0_3887,refute_0_3893]) ).
cnf(refute_0_3895,plain,
( and(carry_def,and(cin,or(a,b))) != and(carry_def,cin)
| and(carry_def,and(cin,or(a,b))) != and(cin,or(a,b))
| and(carry_def,cin) = and(cin,or(a,b)) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry_def,and(cin,or(a,b))),and(cin,or(a,b))) ),[0],$fot(and(carry_def,cin))]]) ).
cnf(refute_0_3896,plain,
( and(carry_def,and(cin,or(a,b))) != and(cin,or(a,b))
| and(carry_def,cin) = and(cin,or(a,b)) ),
inference(resolve,[$cnf( $equal(and(carry_def,and(cin,or(a,b))),and(carry_def,cin)) )],[refute_0_3894,refute_0_3895]) ).
cnf(refute_0_3897,plain,
( and(carry_def,cin) != and(cin,or(a,b))
| and(cin,or(a,b)) != and(carry_def,or(cin,t1))
| and(carry_def,cin) = and(carry_def,or(cin,t1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(carry_def,cin),and(carry_def,or(cin,t1))) ),[0],$fot(and(cin,or(a,b)))]]) ).
cnf(refute_0_3898,plain,
( and(carry_def,cin) != and(cin,or(a,b))
| and(carry_def,cin) = and(carry_def,or(cin,t1)) ),
inference(resolve,[$cnf( $equal(and(cin,or(a,b)),and(carry_def,or(cin,t1))) )],[refute_0_3848,refute_0_3897]) ).
cnf(refute_0_3899,plain,
( and(carry_def,and(cin,or(a,b))) != and(cin,or(a,b))
| and(carry_def,cin) = and(carry_def,or(cin,t1)) ),
inference(resolve,[$cnf( $equal(and(carry_def,cin),and(cin,or(a,b))) )],[refute_0_3896,refute_0_3898]) ).
cnf(refute_0_3900,plain,
and(carry_def,cin) = and(carry_def,or(cin,t1)),
inference(resolve,[$cnf( $equal(and(carry_def,and(cin,or(a,b))),and(cin,or(a,b))) )],[refute_0_3236,refute_0_3899]) ).
cnf(refute_0_3901,plain,
( and(carry_def,cin) != and(carry_def,or(cin,t1))
| and(carry_def,or(cin,t1)) = and(carry_def,cin) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(carry_def,cin))),bind(Y0,$fot(and(carry_def,or(cin,t1))))]]) ).
cnf(refute_0_3902,plain,
and(carry_def,or(cin,t1)) = and(carry_def,cin),
inference(resolve,[$cnf( $equal(and(carry_def,cin),and(carry_def,or(cin,t1))) )],[refute_0_3900,refute_0_3901]) ).
cnf(refute_0_3903,plain,
( and(carry_def,or(cin,t1)) != and(carry_def,cin)
| and(carry_def,or(cin,t1)) != and(cin,or(a,b))
| and(carry_def,cin) = and(cin,or(a,b)) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry_def,or(cin,t1)),and(cin,or(a,b))) ),[0],$fot(and(carry_def,cin))]]) ).
cnf(refute_0_3904,plain,
( and(carry_def,or(cin,t1)) != and(cin,or(a,b))
| and(carry_def,cin) = and(cin,or(a,b)) ),
inference(resolve,[$cnf( $equal(and(carry_def,or(cin,t1)),and(carry_def,cin)) )],[refute_0_3902,refute_0_3903]) ).
cnf(refute_0_3905,plain,
and(carry_def,cin) = and(cin,or(a,b)),
inference(resolve,[$cnf( $equal(and(carry_def,or(cin,t1)),and(cin,or(a,b))) )],[refute_0_3204,refute_0_3904]) ).
cnf(refute_0_3906,plain,
( and(carry_def,cin) != and(cin,or(a,b))
| and(cin,or(a,b)) = and(carry_def,cin) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(carry_def,cin))),bind(Y0,$fot(and(cin,or(a,b))))]]) ).
cnf(refute_0_3907,plain,
and(cin,or(a,b)) = and(carry_def,cin),
inference(resolve,[$cnf( $equal(and(carry_def,cin),and(cin,or(a,b))) )],[refute_0_3905,refute_0_3906]) ).
cnf(refute_0_3908,plain,
and(cin,or(a,t4)) = and(cin,or(a,t4)),
introduced(tautology,[refl,[$fot(and(cin,or(a,t4)))]]) ).
cnf(refute_0_3909,plain,
( and(cin,or(a,t4)) != and(cin,or(a,t4))
| or(a,t4) != or(a,b)
| and(cin,or(a,t4)) = and(cin,or(a,b)) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,or(a,t4)),and(cin,or(a,t4))) ),[1,1],$fot(or(a,b))]]) ).
cnf(refute_0_3910,plain,
( or(a,t4) != or(a,b)
| and(cin,or(a,t4)) = and(cin,or(a,b)) ),
inference(resolve,[$cnf( $equal(and(cin,or(a,t4)),and(cin,or(a,t4))) )],[refute_0_3908,refute_0_3909]) ).
cnf(refute_0_3911,plain,
and(cin,or(a,t4)) = and(cin,or(a,b)),
inference(resolve,[$cnf( $equal(or(a,t4),or(a,b)) )],[refute_0_3071,refute_0_3910]) ).
cnf(refute_0_3912,plain,
( and(cin,or(a,b)) != and(carry_def,cin)
| and(cin,or(a,t4)) != and(cin,or(a,b))
| and(cin,or(a,t4)) = and(carry_def,cin) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(cin,or(a,t4)))),bind(Y0,$fot(and(cin,or(a,b)))),bind(Z0,$fot(and(carry_def,cin)))]]) ).
cnf(refute_0_3913,plain,
( and(cin,or(a,b)) != and(carry_def,cin)
| and(cin,or(a,t4)) = and(carry_def,cin) ),
inference(resolve,[$cnf( $equal(and(cin,or(a,t4)),and(cin,or(a,b))) )],[refute_0_3911,refute_0_3912]) ).
cnf(refute_0_3914,plain,
and(cin,or(a,t4)) = and(carry_def,cin),
inference(resolve,[$cnf( $equal(and(cin,or(a,b)),and(carry_def,cin)) )],[refute_0_3907,refute_0_3913]) ).
cnf(refute_0_3915,plain,
and(cin,or(X_753,t7)) = or(and(cin,X_753),and(cin,t7)),
inference(subst,[],[or_distributive:[bind(X,$fot(cin)),bind(Y,$fot(X_753)),bind(Z,$fot(t7))]]) ).
cnf(refute_0_3916,plain,
not(not(and(cin,t7))) = and(cin,t7),
inference(subst,[],[not_involution:[bind(X,$fot(and(cin,t7)))]]) ).
cnf(refute_0_3917,plain,
or(and(cin,not(t7)),and(not(cin),t7)) = xor(cin,t7),
inference(subst,[],[refute_0_9:[bind(X,$fot(cin)),bind(Y,$fot(t7))]]) ).
cnf(refute_0_3918,plain,
( and(cin,not(t7)) != not(t7)
| or(and(cin,not(t7)),and(not(cin),t7)) != xor(cin,t7)
| or(not(t7),and(not(cin),t7)) = xor(cin,t7) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(cin,not(t7)),and(not(cin),t7)),xor(cin,t7)) ),[0,0],$fot(not(t7))]]) ).
cnf(refute_0_3919,plain,
( or(and(cin,not(t7)),and(not(cin),t7)) != xor(cin,t7)
| or(not(t7),and(not(cin),t7)) = xor(cin,t7) ),
inference(resolve,[$cnf( $equal(and(cin,not(t7)),not(t7)) )],[refute_0_1101,refute_0_3918]) ).
cnf(refute_0_3920,plain,
or(not(t7),and(not(cin),t7)) = xor(cin,t7),
inference(resolve,[$cnf( $equal(or(and(cin,not(t7)),and(not(cin),t7)),xor(cin,t7)) )],[refute_0_3917,refute_0_3919]) ).
cnf(refute_0_3921,plain,
not(and(t7,cin)) = not(and(cin,t7)),
inference(subst,[],[refute_0_333:[bind(X_31,$fot(t7)),bind(X_32,$fot(cin))]]) ).
cnf(refute_0_3922,plain,
or(not(t7),not(cin)) = not(and(t7,cin)),
inference(subst,[],[refute_0_147:[bind(X,$fot(t7)),bind(Y,$fot(cin))]]) ).
cnf(refute_0_3923,plain,
( not(and(t7,cin)) != not(and(cin,t7))
| or(not(t7),not(cin)) != not(and(t7,cin))
| or(not(t7),not(cin)) = not(and(cin,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t7),not(cin)))),bind(Y0,$fot(not(and(t7,cin)))),bind(Z0,$fot(not(and(cin,t7))))]]) ).
cnf(refute_0_3924,plain,
( not(and(t7,cin)) != not(and(cin,t7))
| or(not(t7),not(cin)) = not(and(cin,t7)) ),
inference(resolve,[$cnf( $equal(or(not(t7),not(cin)),not(and(t7,cin))) )],[refute_0_3922,refute_0_3923]) ).
cnf(refute_0_3925,plain,
or(not(t7),not(cin)) = not(and(cin,t7)),
inference(resolve,[$cnf( $equal(not(and(t7,cin)),not(and(cin,t7))) )],[refute_0_3921,refute_0_3924]) ).
cnf(refute_0_3926,plain,
and(not(cin),t7) = and(t7,not(cin)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t7)),bind(Y,$fot(not(cin)))]]) ).
cnf(refute_0_3927,plain,
( and(not(cin),t7) != and(t7,not(cin))
| and(t7,not(cin)) != not(cin)
| and(not(cin),t7) = not(cin) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(cin),t7))),bind(Y0,$fot(and(t7,not(cin)))),bind(Z0,$fot(not(cin)))]]) ).
cnf(refute_0_3928,plain,
( and(t7,not(cin)) != not(cin)
| and(not(cin),t7) = not(cin) ),
inference(resolve,[$cnf( $equal(and(not(cin),t7),and(t7,not(cin))) )],[refute_0_3926,refute_0_3927]) ).
cnf(refute_0_3929,plain,
and(not(cin),t7) = not(cin),
inference(resolve,[$cnf( $equal(and(t7,not(cin)),not(cin)) )],[refute_0_745,refute_0_3928]) ).
cnf(refute_0_3930,plain,
or(not(t7),and(not(cin),t7)) = or(not(t7),and(not(cin),t7)),
introduced(tautology,[refl,[$fot(or(not(t7),and(not(cin),t7)))]]) ).
cnf(refute_0_3931,plain,
( and(not(cin),t7) != not(cin)
| or(not(t7),and(not(cin),t7)) != or(not(t7),and(not(cin),t7))
| or(not(t7),and(not(cin),t7)) = or(not(t7),not(cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t7),and(not(cin),t7)),or(not(t7),and(not(cin),t7))) ),[1,1],$fot(not(cin))]]) ).
cnf(refute_0_3932,plain,
( and(not(cin),t7) != not(cin)
| or(not(t7),and(not(cin),t7)) = or(not(t7),not(cin)) ),
inference(resolve,[$cnf( $equal(or(not(t7),and(not(cin),t7)),or(not(t7),and(not(cin),t7))) )],[refute_0_3930,refute_0_3931]) ).
cnf(refute_0_3933,plain,
or(not(t7),and(not(cin),t7)) = or(not(t7),not(cin)),
inference(resolve,[$cnf( $equal(and(not(cin),t7),not(cin)) )],[refute_0_3929,refute_0_3932]) ).
cnf(refute_0_3934,plain,
( or(not(t7),and(not(cin),t7)) != or(not(t7),not(cin))
| or(not(t7),not(cin)) != not(and(cin,t7))
| or(not(t7),and(not(cin),t7)) = not(and(cin,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t7),and(not(cin),t7)))),bind(Y0,$fot(or(not(t7),not(cin)))),bind(Z0,$fot(not(and(cin,t7))))]]) ).
cnf(refute_0_3935,plain,
( or(not(t7),not(cin)) != not(and(cin,t7))
| or(not(t7),and(not(cin),t7)) = not(and(cin,t7)) ),
inference(resolve,[$cnf( $equal(or(not(t7),and(not(cin),t7)),or(not(t7),not(cin))) )],[refute_0_3933,refute_0_3934]) ).
cnf(refute_0_3936,plain,
or(not(t7),and(not(cin),t7)) = not(and(cin,t7)),
inference(resolve,[$cnf( $equal(or(not(t7),not(cin)),not(and(cin,t7))) )],[refute_0_3925,refute_0_3935]) ).
cnf(refute_0_3937,plain,
( or(not(t7),and(not(cin),t7)) != not(and(cin,t7))
| or(not(t7),and(not(cin),t7)) != xor(cin,t7)
| not(and(cin,t7)) = xor(cin,t7) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t7),and(not(cin),t7)),xor(cin,t7)) ),[0],$fot(not(and(cin,t7)))]]) ).
cnf(refute_0_3938,plain,
( or(not(t7),and(not(cin),t7)) != xor(cin,t7)
| not(and(cin,t7)) = xor(cin,t7) ),
inference(resolve,[$cnf( $equal(or(not(t7),and(not(cin),t7)),not(and(cin,t7))) )],[refute_0_3936,refute_0_3937]) ).
cnf(refute_0_3939,plain,
not(and(cin,t7)) = xor(cin,t7),
inference(resolve,[$cnf( $equal(or(not(t7),and(not(cin),t7)),xor(cin,t7)) )],[refute_0_3920,refute_0_3938]) ).
cnf(refute_0_3940,plain,
( not(and(cin,t7)) != xor(cin,t7)
| not(not(and(cin,t7))) != and(cin,t7)
| not(xor(cin,t7)) = and(cin,t7) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(cin,t7))),and(cin,t7)) ),[0,0],$fot(xor(cin,t7))]]) ).
cnf(refute_0_3941,plain,
( not(not(and(cin,t7))) != and(cin,t7)
| not(xor(cin,t7)) = and(cin,t7) ),
inference(resolve,[$cnf( $equal(not(and(cin,t7)),xor(cin,t7)) )],[refute_0_3939,refute_0_3940]) ).
cnf(refute_0_3942,plain,
not(xor(cin,t7)) = and(cin,t7),
inference(resolve,[$cnf( $equal(not(not(and(cin,t7))),and(cin,t7)) )],[refute_0_3916,refute_0_3941]) ).
cnf(refute_0_3943,plain,
or(xor(cin,t7),and(t6,xor(cin,t7))) = xor(cin,t7),
inference(subst,[],[refute_0_222:[bind(X_13,$fot(xor(cin,t7))),bind(X_14,$fot(t6))]]) ).
cnf(refute_0_3944,plain,
xor(t4,xor(t5,and(cin,t7))) = xor(t6,and(cin,t7)),
inference(subst,[],[refute_0_1000:[bind(X_335,$fot(and(cin,t7)))]]) ).
cnf(refute_0_3945,plain,
xor(xor(t5,t7),and(t5,t7)) = xor(and(t5,t7),xor(t5,t7)),
inference(subst,[],[xor_commutative:[bind(X,$fot(xor(t5,t7))),bind(Y,$fot(and(t5,t7)))]]) ).
cnf(refute_0_3946,plain,
ll1 = xor(and(t5,t7),not(and(t5,t7))),
inference(subst,[],[refute_0_473:[bind(X_64,$fot(and(t5,t7)))]]) ).
cnf(refute_0_3947,plain,
or(and(t5,not(t7)),and(not(t5),t7)) = xor(t5,t7),
inference(subst,[],[refute_0_9:[bind(X,$fot(t5)),bind(Y,$fot(t7))]]) ).
cnf(refute_0_3948,plain,
( and(t5,not(t7)) != not(t7)
| or(and(t5,not(t7)),and(not(t5),t7)) != xor(t5,t7)
| or(not(t7),and(not(t5),t7)) = xor(t5,t7) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t5,not(t7)),and(not(t5),t7)),xor(t5,t7)) ),[0,0],$fot(not(t7))]]) ).
cnf(refute_0_3949,plain,
( or(and(t5,not(t7)),and(not(t5),t7)) != xor(t5,t7)
| or(not(t7),and(not(t5),t7)) = xor(t5,t7) ),
inference(resolve,[$cnf( $equal(and(t5,not(t7)),not(t7)) )],[refute_0_233,refute_0_3948]) ).
cnf(refute_0_3950,plain,
or(not(t7),and(not(t5),t7)) = xor(t5,t7),
inference(resolve,[$cnf( $equal(or(and(t5,not(t7)),and(not(t5),t7)),xor(t5,t7)) )],[refute_0_3947,refute_0_3949]) ).
cnf(refute_0_3951,plain,
not(and(t7,t5)) = not(and(t5,t7)),
inference(subst,[],[refute_0_333:[bind(X_31,$fot(t7)),bind(X_32,$fot(t5))]]) ).
cnf(refute_0_3952,plain,
or(not(t7),not(t5)) = not(and(t7,t5)),
inference(subst,[],[refute_0_147:[bind(X,$fot(t7)),bind(Y,$fot(t5))]]) ).
cnf(refute_0_3953,plain,
( not(and(t7,t5)) != not(and(t5,t7))
| or(not(t7),not(t5)) != not(and(t7,t5))
| or(not(t7),not(t5)) = not(and(t5,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t7),not(t5)))),bind(Y0,$fot(not(and(t7,t5)))),bind(Z0,$fot(not(and(t5,t7))))]]) ).
cnf(refute_0_3954,plain,
( not(and(t7,t5)) != not(and(t5,t7))
| or(not(t7),not(t5)) = not(and(t5,t7)) ),
inference(resolve,[$cnf( $equal(or(not(t7),not(t5)),not(and(t7,t5))) )],[refute_0_3952,refute_0_3953]) ).
cnf(refute_0_3955,plain,
or(not(t7),not(t5)) = not(and(t5,t7)),
inference(resolve,[$cnf( $equal(not(and(t7,t5)),not(and(t5,t7))) )],[refute_0_3951,refute_0_3954]) ).
cnf(refute_0_3956,plain,
not(or(not(t7),t5)) = not(or(t5,not(t7))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(t5)),bind(X_26,$fot(not(t7)))]]) ).
cnf(refute_0_3957,plain,
( not(or(not(t7),t5)) != not(or(t5,not(t7)))
| or(t5,not(t7)) != t5
| not(or(not(t7),t5)) = not(t5) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(t7),t5)),not(or(t5,not(t7)))) ),[1,0],$fot(t5)]]) ).
cnf(refute_0_3958,plain,
( not(or(not(t7),t5)) != not(or(t5,not(t7)))
| not(or(not(t7),t5)) = not(t5) ),
inference(resolve,[$cnf( $equal(or(t5,not(t7)),t5) )],[refute_0_226,refute_0_3957]) ).
cnf(refute_0_3959,plain,
not(or(not(t7),t5)) = not(t5),
inference(resolve,[$cnf( $equal(not(or(not(t7),t5)),not(or(t5,not(t7)))) )],[refute_0_3956,refute_0_3958]) ).
cnf(refute_0_3960,plain,
not(or(not(t7),t5)) = and(t7,not(t5)),
inference(subst,[],[refute_0_159:[bind(X,$fot(t7)),bind(X_26,$fot(t5))]]) ).
cnf(refute_0_3961,plain,
( not(or(not(t7),t5)) != and(t7,not(t5))
| not(or(not(t7),t5)) != not(t5)
| and(t7,not(t5)) = not(t5) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(t7),t5)),not(t5)) ),[0],$fot(and(t7,not(t5)))]]) ).
cnf(refute_0_3962,plain,
( not(or(not(t7),t5)) != not(t5)
| and(t7,not(t5)) = not(t5) ),
inference(resolve,[$cnf( $equal(not(or(not(t7),t5)),and(t7,not(t5))) )],[refute_0_3960,refute_0_3961]) ).
cnf(refute_0_3963,plain,
and(t7,not(t5)) = not(t5),
inference(resolve,[$cnf( $equal(not(or(not(t7),t5)),not(t5)) )],[refute_0_3959,refute_0_3962]) ).
cnf(refute_0_3964,plain,
and(not(t5),t7) = and(t7,not(t5)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t7)),bind(Y,$fot(not(t5)))]]) ).
cnf(refute_0_3965,plain,
( and(not(t5),t7) != and(t7,not(t5))
| and(t7,not(t5)) != not(t5)
| and(not(t5),t7) = not(t5) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t5),t7))),bind(Y0,$fot(and(t7,not(t5)))),bind(Z0,$fot(not(t5)))]]) ).
cnf(refute_0_3966,plain,
( and(t7,not(t5)) != not(t5)
| and(not(t5),t7) = not(t5) ),
inference(resolve,[$cnf( $equal(and(not(t5),t7),and(t7,not(t5))) )],[refute_0_3964,refute_0_3965]) ).
cnf(refute_0_3967,plain,
and(not(t5),t7) = not(t5),
inference(resolve,[$cnf( $equal(and(t7,not(t5)),not(t5)) )],[refute_0_3963,refute_0_3966]) ).
cnf(refute_0_3968,plain,
or(not(t7),and(not(t5),t7)) = or(not(t7),and(not(t5),t7)),
introduced(tautology,[refl,[$fot(or(not(t7),and(not(t5),t7)))]]) ).
cnf(refute_0_3969,plain,
( and(not(t5),t7) != not(t5)
| or(not(t7),and(not(t5),t7)) != or(not(t7),and(not(t5),t7))
| or(not(t7),and(not(t5),t7)) = or(not(t7),not(t5)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t7),and(not(t5),t7)),or(not(t7),and(not(t5),t7))) ),[1,1],$fot(not(t5))]]) ).
cnf(refute_0_3970,plain,
( and(not(t5),t7) != not(t5)
| or(not(t7),and(not(t5),t7)) = or(not(t7),not(t5)) ),
inference(resolve,[$cnf( $equal(or(not(t7),and(not(t5),t7)),or(not(t7),and(not(t5),t7))) )],[refute_0_3968,refute_0_3969]) ).
cnf(refute_0_3971,plain,
or(not(t7),and(not(t5),t7)) = or(not(t7),not(t5)),
inference(resolve,[$cnf( $equal(and(not(t5),t7),not(t5)) )],[refute_0_3967,refute_0_3970]) ).
cnf(refute_0_3972,plain,
( or(not(t7),and(not(t5),t7)) != or(not(t7),not(t5))
| or(not(t7),not(t5)) != not(and(t5,t7))
| or(not(t7),and(not(t5),t7)) = not(and(t5,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t7),and(not(t5),t7)))),bind(Y0,$fot(or(not(t7),not(t5)))),bind(Z0,$fot(not(and(t5,t7))))]]) ).
cnf(refute_0_3973,plain,
( or(not(t7),not(t5)) != not(and(t5,t7))
| or(not(t7),and(not(t5),t7)) = not(and(t5,t7)) ),
inference(resolve,[$cnf( $equal(or(not(t7),and(not(t5),t7)),or(not(t7),not(t5))) )],[refute_0_3971,refute_0_3972]) ).
cnf(refute_0_3974,plain,
or(not(t7),and(not(t5),t7)) = not(and(t5,t7)),
inference(resolve,[$cnf( $equal(or(not(t7),not(t5)),not(and(t5,t7))) )],[refute_0_3955,refute_0_3973]) ).
cnf(refute_0_3975,plain,
( or(not(t7),and(not(t5),t7)) != not(and(t5,t7))
| or(not(t7),and(not(t5),t7)) != xor(t5,t7)
| not(and(t5,t7)) = xor(t5,t7) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t7),and(not(t5),t7)),xor(t5,t7)) ),[0],$fot(not(and(t5,t7)))]]) ).
cnf(refute_0_3976,plain,
( or(not(t7),and(not(t5),t7)) != xor(t5,t7)
| not(and(t5,t7)) = xor(t5,t7) ),
inference(resolve,[$cnf( $equal(or(not(t7),and(not(t5),t7)),not(and(t5,t7))) )],[refute_0_3974,refute_0_3975]) ).
cnf(refute_0_3977,plain,
not(and(t5,t7)) = xor(t5,t7),
inference(resolve,[$cnf( $equal(or(not(t7),and(not(t5),t7)),xor(t5,t7)) )],[refute_0_3950,refute_0_3976]) ).
cnf(refute_0_3978,plain,
( ll1 != xor(and(t5,t7),not(and(t5,t7)))
| not(and(t5,t7)) != xor(t5,t7)
| ll1 = xor(and(t5,t7),xor(t5,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,xor(and(t5,t7),not(and(t5,t7)))) ),[1,1],$fot(xor(t5,t7))]]) ).
cnf(refute_0_3979,plain,
( ll1 != xor(and(t5,t7),not(and(t5,t7)))
| ll1 = xor(and(t5,t7),xor(t5,t7)) ),
inference(resolve,[$cnf( $equal(not(and(t5,t7)),xor(t5,t7)) )],[refute_0_3977,refute_0_3978]) ).
cnf(refute_0_3980,plain,
ll1 = xor(and(t5,t7),xor(t5,t7)),
inference(resolve,[$cnf( $equal(ll1,xor(and(t5,t7),not(and(t5,t7)))) )],[refute_0_3946,refute_0_3979]) ).
cnf(refute_0_3981,plain,
( ll1 != xor(and(t5,t7),xor(t5,t7))
| xor(and(t5,t7),xor(t5,t7)) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(xor(and(t5,t7),xor(t5,t7))))]]) ).
cnf(refute_0_3982,plain,
xor(and(t5,t7),xor(t5,t7)) = ll1,
inference(resolve,[$cnf( $equal(ll1,xor(and(t5,t7),xor(t5,t7))) )],[refute_0_3980,refute_0_3981]) ).
cnf(refute_0_3983,plain,
( xor(and(t5,t7),xor(t5,t7)) != ll1
| xor(xor(t5,t7),and(t5,t7)) != xor(and(t5,t7),xor(t5,t7))
| xor(xor(t5,t7),and(t5,t7)) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(xor(xor(t5,t7),and(t5,t7)),xor(and(t5,t7),xor(t5,t7))) ),[1],$fot(ll1)]]) ).
cnf(refute_0_3984,plain,
( xor(xor(t5,t7),and(t5,t7)) != xor(and(t5,t7),xor(t5,t7))
| xor(xor(t5,t7),and(t5,t7)) = ll1 ),
inference(resolve,[$cnf( $equal(xor(and(t5,t7),xor(t5,t7)),ll1) )],[refute_0_3982,refute_0_3983]) ).
cnf(refute_0_3985,plain,
xor(xor(t5,t7),and(t5,t7)) = ll1,
inference(resolve,[$cnf( $equal(xor(xor(t5,t7),and(t5,t7)),xor(and(t5,t7),xor(t5,t7))) )],[refute_0_3945,refute_0_3984]) ).
cnf(refute_0_3986,plain,
xor(xor(t5,t7),and(t5,t7)) = xor(t5,xor(t7,and(t5,t7))),
inference(subst,[],[refute_0_526:[bind(X,$fot(t5)),bind(Y,$fot(t7)),bind(Z,$fot(and(t5,t7)))]]) ).
cnf(refute_0_3987,plain,
( xor(xor(t5,t7),and(t5,t7)) != ll1
| xor(xor(t5,t7),and(t5,t7)) != xor(t5,xor(t7,and(t5,t7)))
| xor(t5,xor(t7,and(t5,t7))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(xor(xor(t5,t7),and(t5,t7)),ll1) ),[0],$fot(xor(t5,xor(t7,and(t5,t7))))]]) ).
cnf(refute_0_3988,plain,
( xor(xor(t5,t7),and(t5,t7)) != ll1
| xor(t5,xor(t7,and(t5,t7))) = ll1 ),
inference(resolve,[$cnf( $equal(xor(xor(t5,t7),and(t5,t7)),xor(t5,xor(t7,and(t5,t7)))) )],[refute_0_3986,refute_0_3987]) ).
cnf(refute_0_3989,plain,
xor(t5,xor(t7,and(t5,t7))) = ll1,
inference(resolve,[$cnf( $equal(xor(xor(t5,t7),and(t5,t7)),ll1) )],[refute_0_3985,refute_0_3988]) ).
cnf(refute_0_3990,plain,
xor(t7,cin) = xor(cin,t7),
inference(subst,[],[refute_0_1913:[bind(X,$fot(cin)),bind(Y,$fot(t7))]]) ).
cnf(refute_0_3991,plain,
not(xor(t7,cin)) = not(xor(t7,cin)),
introduced(tautology,[refl,[$fot(not(xor(t7,cin)))]]) ).
cnf(refute_0_3992,plain,
( not(xor(t7,cin)) != not(xor(t7,cin))
| xor(t7,cin) != xor(cin,t7)
| not(xor(t7,cin)) = not(xor(cin,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t7,cin)),not(xor(t7,cin))) ),[1,0],$fot(xor(cin,t7))]]) ).
cnf(refute_0_3993,plain,
( xor(t7,cin) != xor(cin,t7)
| not(xor(t7,cin)) = not(xor(cin,t7)) ),
inference(resolve,[$cnf( $equal(not(xor(t7,cin)),not(xor(t7,cin))) )],[refute_0_3991,refute_0_3992]) ).
cnf(refute_0_3994,plain,
not(xor(t7,cin)) = not(xor(cin,t7)),
inference(resolve,[$cnf( $equal(xor(t7,cin),xor(cin,t7)) )],[refute_0_3990,refute_0_3993]) ).
cnf(refute_0_3995,plain,
( not(xor(cin,t7)) != and(cin,t7)
| not(xor(t7,cin)) != not(xor(cin,t7))
| not(xor(t7,cin)) = and(cin,t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t7,cin)))),bind(Y0,$fot(not(xor(cin,t7)))),bind(Z0,$fot(and(cin,t7)))]]) ).
cnf(refute_0_3996,plain,
( not(xor(cin,t7)) != and(cin,t7)
| not(xor(t7,cin)) = and(cin,t7) ),
inference(resolve,[$cnf( $equal(not(xor(t7,cin)),not(xor(cin,t7))) )],[refute_0_3994,refute_0_3995]) ).
cnf(refute_0_3997,plain,
not(xor(t7,cin)) = and(cin,t7),
inference(resolve,[$cnf( $equal(not(xor(cin,t7)),and(cin,t7)) )],[refute_0_3942,refute_0_3996]) ).
cnf(refute_0_3998,plain,
xor(t7,not(cin)) = not(xor(t7,cin)),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t7)),bind(X_334,$fot(cin))]]) ).
cnf(refute_0_3999,plain,
( not(xor(t7,cin)) != and(cin,t7)
| xor(t7,not(cin)) != not(xor(t7,cin))
| xor(t7,not(cin)) = and(cin,t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t7,not(cin)))),bind(Y0,$fot(not(xor(t7,cin)))),bind(Z0,$fot(and(cin,t7)))]]) ).
cnf(refute_0_4000,plain,
( not(xor(t7,cin)) != and(cin,t7)
| xor(t7,not(cin)) = and(cin,t7) ),
inference(resolve,[$cnf( $equal(xor(t7,not(cin)),not(xor(t7,cin))) )],[refute_0_3998,refute_0_3999]) ).
cnf(refute_0_4001,plain,
xor(t7,not(cin)) = and(cin,t7),
inference(resolve,[$cnf( $equal(not(xor(t7,cin)),and(cin,t7)) )],[refute_0_3997,refute_0_4000]) ).
cnf(refute_0_4002,plain,
xor(cin,xor(t5,xor(t7,and(t5,t7)))) = xor(t7,xor(t7,and(t5,t7))),
inference(subst,[],[refute_0_2486:[bind(X_335,$fot(xor(t7,and(t5,t7))))]]) ).
cnf(refute_0_4003,plain,
( xor(cin,xor(t5,xor(t7,and(t5,t7)))) != xor(t7,xor(t7,and(t5,t7)))
| xor(t5,xor(t7,and(t5,t7))) != ll1
| xor(cin,ll1) = xor(t7,xor(t7,and(t5,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t5,xor(t7,and(t5,t7)))),xor(t7,xor(t7,and(t5,t7)))) ),[0,1],$fot(ll1)]]) ).
cnf(refute_0_4004,plain,
( xor(cin,xor(t5,xor(t7,and(t5,t7)))) != xor(t7,xor(t7,and(t5,t7)))
| xor(cin,ll1) = xor(t7,xor(t7,and(t5,t7))) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(t7,and(t5,t7))),ll1) )],[refute_0_3989,refute_0_4003]) ).
cnf(refute_0_4005,plain,
xor(cin,ll1) = xor(t7,xor(t7,and(t5,t7))),
inference(resolve,[$cnf( $equal(xor(cin,xor(t5,xor(t7,and(t5,t7)))),xor(t7,xor(t7,and(t5,t7)))) )],[refute_0_4002,refute_0_4004]) ).
cnf(refute_0_4006,plain,
xor(cin,ll1) = not(cin),
inference(subst,[],[refute_0_587:[bind(X_63,$fot(cin))]]) ).
cnf(refute_0_4007,plain,
( xor(cin,ll1) != not(cin)
| xor(cin,ll1) != xor(t7,xor(t7,and(t5,t7)))
| not(cin) = xor(t7,xor(t7,and(t5,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,ll1),xor(t7,xor(t7,and(t5,t7)))) ),[0],$fot(not(cin))]]) ).
cnf(refute_0_4008,plain,
( xor(cin,ll1) != xor(t7,xor(t7,and(t5,t7)))
| not(cin) = xor(t7,xor(t7,and(t5,t7))) ),
inference(resolve,[$cnf( $equal(xor(cin,ll1),not(cin)) )],[refute_0_4006,refute_0_4007]) ).
cnf(refute_0_4009,plain,
xor(t7,xor(t7,and(t5,t7))) = and(t5,t7),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(t7)),bind(X_335,$fot(and(t5,t7)))]]) ).
cnf(refute_0_4010,plain,
( not(cin) != xor(t7,xor(t7,and(t5,t7)))
| xor(t7,xor(t7,and(t5,t7))) != and(t5,t7)
| not(cin) = and(t5,t7) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(cin),and(t5,t7)) ),[0],$fot(xor(t7,xor(t7,and(t5,t7))))]]) ).
cnf(refute_0_4011,plain,
( not(cin) != xor(t7,xor(t7,and(t5,t7)))
| not(cin) = and(t5,t7) ),
inference(resolve,[$cnf( $equal(xor(t7,xor(t7,and(t5,t7))),and(t5,t7)) )],[refute_0_4009,refute_0_4010]) ).
cnf(refute_0_4012,plain,
( xor(cin,ll1) != xor(t7,xor(t7,and(t5,t7)))
| not(cin) = and(t5,t7) ),
inference(resolve,[$cnf( $equal(not(cin),xor(t7,xor(t7,and(t5,t7)))) )],[refute_0_4008,refute_0_4011]) ).
cnf(refute_0_4013,plain,
not(cin) = and(t5,t7),
inference(resolve,[$cnf( $equal(xor(cin,ll1),xor(t7,xor(t7,and(t5,t7)))) )],[refute_0_4005,refute_0_4012]) ).
cnf(refute_0_4014,plain,
( not(cin) != and(t5,t7)
| and(t5,t7) = not(cin) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(cin))),bind(Y0,$fot(and(t5,t7)))]]) ).
cnf(refute_0_4015,plain,
and(t5,t7) = not(cin),
inference(resolve,[$cnf( $equal(not(cin),and(t5,t7)) )],[refute_0_4013,refute_0_4014]) ).
cnf(refute_0_4016,plain,
xor(t7,and(t5,t7)) = xor(t7,and(t5,t7)),
introduced(tautology,[refl,[$fot(xor(t7,and(t5,t7)))]]) ).
cnf(refute_0_4017,plain,
( and(t5,t7) != not(cin)
| xor(t7,and(t5,t7)) != xor(t7,and(t5,t7))
| xor(t7,and(t5,t7)) = xor(t7,not(cin)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t7,and(t5,t7)),xor(t7,and(t5,t7))) ),[1,1],$fot(not(cin))]]) ).
cnf(refute_0_4018,plain,
( and(t5,t7) != not(cin)
| xor(t7,and(t5,t7)) = xor(t7,not(cin)) ),
inference(resolve,[$cnf( $equal(xor(t7,and(t5,t7)),xor(t7,and(t5,t7))) )],[refute_0_4016,refute_0_4017]) ).
cnf(refute_0_4019,plain,
xor(t7,and(t5,t7)) = xor(t7,not(cin)),
inference(resolve,[$cnf( $equal(and(t5,t7),not(cin)) )],[refute_0_4015,refute_0_4018]) ).
cnf(refute_0_4020,plain,
( xor(t7,and(t5,t7)) != xor(t7,not(cin))
| xor(t7,not(cin)) != and(cin,t7)
| xor(t7,and(t5,t7)) = and(cin,t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t7,and(t5,t7)))),bind(Y0,$fot(xor(t7,not(cin)))),bind(Z0,$fot(and(cin,t7)))]]) ).
cnf(refute_0_4021,plain,
( xor(t7,not(cin)) != and(cin,t7)
| xor(t7,and(t5,t7)) = and(cin,t7) ),
inference(resolve,[$cnf( $equal(xor(t7,and(t5,t7)),xor(t7,not(cin))) )],[refute_0_4019,refute_0_4020]) ).
cnf(refute_0_4022,plain,
xor(t7,and(t5,t7)) = and(cin,t7),
inference(resolve,[$cnf( $equal(xor(t7,not(cin)),and(cin,t7)) )],[refute_0_4001,refute_0_4021]) ).
cnf(refute_0_4023,plain,
xor(t5,xor(t7,and(t5,t7))) = xor(t5,xor(t7,and(t5,t7))),
introduced(tautology,[refl,[$fot(xor(t5,xor(t7,and(t5,t7))))]]) ).
cnf(refute_0_4024,plain,
( xor(t5,xor(t7,and(t5,t7))) != xor(t5,xor(t7,and(t5,t7)))
| xor(t7,and(t5,t7)) != and(cin,t7)
| xor(t5,xor(t7,and(t5,t7))) = xor(t5,and(cin,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t5,xor(t7,and(t5,t7))),xor(t5,xor(t7,and(t5,t7)))) ),[1,1],$fot(and(cin,t7))]]) ).
cnf(refute_0_4025,plain,
( xor(t7,and(t5,t7)) != and(cin,t7)
| xor(t5,xor(t7,and(t5,t7))) = xor(t5,and(cin,t7)) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(t7,and(t5,t7))),xor(t5,xor(t7,and(t5,t7)))) )],[refute_0_4023,refute_0_4024]) ).
cnf(refute_0_4026,plain,
xor(t5,xor(t7,and(t5,t7))) = xor(t5,and(cin,t7)),
inference(resolve,[$cnf( $equal(xor(t7,and(t5,t7)),and(cin,t7)) )],[refute_0_4022,refute_0_4025]) ).
cnf(refute_0_4027,plain,
( xor(t5,xor(t7,and(t5,t7))) != ll1
| xor(t5,xor(t7,and(t5,t7))) != xor(t5,and(cin,t7))
| xor(t5,and(cin,t7)) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(xor(t5,xor(t7,and(t5,t7))),ll1) ),[0],$fot(xor(t5,and(cin,t7)))]]) ).
cnf(refute_0_4028,plain,
( xor(t5,xor(t7,and(t5,t7))) != ll1
| xor(t5,and(cin,t7)) = ll1 ),
inference(resolve,[$cnf( $equal(xor(t5,xor(t7,and(t5,t7))),xor(t5,and(cin,t7))) )],[refute_0_4026,refute_0_4027]) ).
cnf(refute_0_4029,plain,
xor(t5,and(cin,t7)) = ll1,
inference(resolve,[$cnf( $equal(xor(t5,xor(t7,and(t5,t7))),ll1) )],[refute_0_3989,refute_0_4028]) ).
cnf(refute_0_4030,plain,
( xor(t4,xor(t5,and(cin,t7))) != xor(t6,and(cin,t7))
| xor(t5,and(cin,t7)) != ll1
| xor(t4,ll1) = xor(t6,and(cin,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,xor(t5,and(cin,t7))),xor(t6,and(cin,t7))) ),[0,1],$fot(ll1)]]) ).
cnf(refute_0_4031,plain,
( xor(t4,xor(t5,and(cin,t7))) != xor(t6,and(cin,t7))
| xor(t4,ll1) = xor(t6,and(cin,t7)) ),
inference(resolve,[$cnf( $equal(xor(t5,and(cin,t7)),ll1) )],[refute_0_4029,refute_0_4030]) ).
cnf(refute_0_4032,plain,
xor(t4,ll1) = xor(t6,and(cin,t7)),
inference(resolve,[$cnf( $equal(xor(t4,xor(t5,and(cin,t7))),xor(t6,and(cin,t7))) )],[refute_0_3944,refute_0_4031]) ).
cnf(refute_0_4033,plain,
xor(t4,ll1) = not(t4),
inference(subst,[],[refute_0_587:[bind(X_63,$fot(t4))]]) ).
cnf(refute_0_4034,plain,
( xor(t4,ll1) != not(t4)
| xor(t4,ll1) != xor(t6,and(cin,t7))
| not(t4) = xor(t6,and(cin,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,ll1),xor(t6,and(cin,t7))) ),[0],$fot(not(t4))]]) ).
cnf(refute_0_4035,plain,
( xor(t4,ll1) != xor(t6,and(cin,t7))
| not(t4) = xor(t6,and(cin,t7)) ),
inference(resolve,[$cnf( $equal(xor(t4,ll1),not(t4)) )],[refute_0_4033,refute_0_4034]) ).
cnf(refute_0_4036,plain,
and(t6,not(and(cin,t7))) = xor(t6,and(cin,t7)),
inference(subst,[],[refute_0_1092:[bind(X_55,$fot(t7))]]) ).
cnf(refute_0_4037,plain,
( and(t6,not(and(cin,t7))) != xor(t6,and(cin,t7))
| not(and(cin,t7)) != xor(cin,t7)
| and(t6,xor(cin,t7)) = xor(t6,and(cin,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(and(cin,t7))),xor(t6,and(cin,t7))) ),[0,1],$fot(xor(cin,t7))]]) ).
cnf(refute_0_4038,plain,
( and(t6,not(and(cin,t7))) != xor(t6,and(cin,t7))
| and(t6,xor(cin,t7)) = xor(t6,and(cin,t7)) ),
inference(resolve,[$cnf( $equal(not(and(cin,t7)),xor(cin,t7)) )],[refute_0_3939,refute_0_4037]) ).
cnf(refute_0_4039,plain,
and(t6,xor(cin,t7)) = xor(t6,and(cin,t7)),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,t7))),xor(t6,and(cin,t7))) )],[refute_0_4036,refute_0_4038]) ).
cnf(refute_0_4040,plain,
( and(t6,xor(cin,t7)) != xor(t6,and(cin,t7))
| xor(t6,and(cin,t7)) = and(t6,xor(cin,t7)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t6,xor(cin,t7)))),bind(Y0,$fot(xor(t6,and(cin,t7))))]]) ).
cnf(refute_0_4041,plain,
xor(t6,and(cin,t7)) = and(t6,xor(cin,t7)),
inference(resolve,[$cnf( $equal(and(t6,xor(cin,t7)),xor(t6,and(cin,t7))) )],[refute_0_4039,refute_0_4040]) ).
cnf(refute_0_4042,plain,
( not(t4) != xor(t6,and(cin,t7))
| xor(t6,and(cin,t7)) != and(t6,xor(cin,t7))
| not(t4) = and(t6,xor(cin,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(t4),and(t6,xor(cin,t7))) ),[0],$fot(xor(t6,and(cin,t7)))]]) ).
cnf(refute_0_4043,plain,
( not(t4) != xor(t6,and(cin,t7))
| not(t4) = and(t6,xor(cin,t7)) ),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,t7)),and(t6,xor(cin,t7))) )],[refute_0_4041,refute_0_4042]) ).
cnf(refute_0_4044,plain,
( xor(t4,ll1) != xor(t6,and(cin,t7))
| not(t4) = and(t6,xor(cin,t7)) ),
inference(resolve,[$cnf( $equal(not(t4),xor(t6,and(cin,t7))) )],[refute_0_4035,refute_0_4043]) ).
cnf(refute_0_4045,plain,
not(t4) = and(t6,xor(cin,t7)),
inference(resolve,[$cnf( $equal(xor(t4,ll1),xor(t6,and(cin,t7))) )],[refute_0_4032,refute_0_4044]) ).
cnf(refute_0_4046,plain,
( not(t4) != and(t6,xor(cin,t7))
| and(t6,xor(cin,t7)) = not(t4) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t4))),bind(Y0,$fot(and(t6,xor(cin,t7))))]]) ).
cnf(refute_0_4047,plain,
and(t6,xor(cin,t7)) = not(t4),
inference(resolve,[$cnf( $equal(not(t4),and(t6,xor(cin,t7))) )],[refute_0_4045,refute_0_4046]) ).
cnf(refute_0_4048,plain,
( and(t6,xor(cin,t7)) != not(t4)
| or(xor(cin,t7),and(t6,xor(cin,t7))) != xor(cin,t7)
| or(xor(cin,t7),not(t4)) = xor(cin,t7) ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(cin,t7),and(t6,xor(cin,t7))),xor(cin,t7)) ),[0,1],$fot(not(t4))]]) ).
cnf(refute_0_4049,plain,
( or(xor(cin,t7),and(t6,xor(cin,t7))) != xor(cin,t7)
| or(xor(cin,t7),not(t4)) = xor(cin,t7) ),
inference(resolve,[$cnf( $equal(and(t6,xor(cin,t7)),not(t4)) )],[refute_0_4047,refute_0_4048]) ).
cnf(refute_0_4050,plain,
or(xor(cin,t7),not(t4)) = xor(cin,t7),
inference(resolve,[$cnf( $equal(or(xor(cin,t7),and(t6,xor(cin,t7))),xor(cin,t7)) )],[refute_0_3943,refute_0_4049]) ).
cnf(refute_0_4051,plain,
not(not(t5)) = t5,
inference(subst,[],[not_involution:[bind(X,$fot(t5))]]) ).
cnf(refute_0_4052,plain,
( and(not(t5),X_222) != and(cin,and(t4,X_222))
| and(cin,and(t4,X_222)) = and(not(t5),X_222) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t5),X_222))),bind(Y0,$fot(and(cin,and(t4,X_222))))]]) ).
cnf(refute_0_4053,plain,
and(cin,and(t4,X_222)) = and(not(t5),X_222),
inference(resolve,[$cnf( $equal(and(not(t5),X_222),and(cin,and(t4,X_222))) )],[refute_0_841,refute_0_4052]) ).
cnf(refute_0_4054,plain,
and(cin,and(t4,t7)) = and(not(t5),t7),
inference(subst,[],[refute_0_4053:[bind(X_222,$fot(t7))]]) ).
cnf(refute_0_4055,plain,
( and(cin,and(t4,t7)) != and(not(t5),t7)
| and(not(t5),t7) != not(t5)
| and(cin,and(t4,t7)) = not(t5) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(cin,and(t4,t7)))),bind(Y0,$fot(and(not(t5),t7))),bind(Z0,$fot(not(t5)))]]) ).
cnf(refute_0_4056,plain,
( and(not(t5),t7) != not(t5)
| and(cin,and(t4,t7)) = not(t5) ),
inference(resolve,[$cnf( $equal(and(cin,and(t4,t7)),and(not(t5),t7)) )],[refute_0_4054,refute_0_4055]) ).
cnf(refute_0_4057,plain,
and(cin,and(t4,t7)) = not(t5),
inference(resolve,[$cnf( $equal(and(not(t5),t7),not(t5)) )],[refute_0_3967,refute_0_4056]) ).
cnf(refute_0_4058,plain,
not(and(cin,and(t4,t7))) = not(and(cin,and(t4,t7))),
introduced(tautology,[refl,[$fot(not(and(cin,and(t4,t7))))]]) ).
cnf(refute_0_4059,plain,
( and(cin,and(t4,t7)) != not(t5)
| not(and(cin,and(t4,t7))) != not(and(cin,and(t4,t7)))
| not(and(cin,and(t4,t7))) = not(not(t5)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(cin,and(t4,t7))),not(and(cin,and(t4,t7)))) ),[1,0],$fot(not(t5))]]) ).
cnf(refute_0_4060,plain,
( and(cin,and(t4,t7)) != not(t5)
| not(and(cin,and(t4,t7))) = not(not(t5)) ),
inference(resolve,[$cnf( $equal(not(and(cin,and(t4,t7))),not(and(cin,and(t4,t7)))) )],[refute_0_4058,refute_0_4059]) ).
cnf(refute_0_4061,plain,
not(and(cin,and(t4,t7))) = not(not(t5)),
inference(resolve,[$cnf( $equal(and(cin,and(t4,t7)),not(t5)) )],[refute_0_4057,refute_0_4060]) ).
cnf(refute_0_4062,plain,
( not(and(cin,and(t4,t7))) != not(not(t5))
| not(not(t5)) != t5
| not(and(cin,and(t4,t7))) = t5 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(cin,and(t4,t7))))),bind(Y0,$fot(not(not(t5)))),bind(Z0,$fot(t5))]]) ).
cnf(refute_0_4063,plain,
( not(not(t5)) != t5
| not(and(cin,and(t4,t7))) = t5 ),
inference(resolve,[$cnf( $equal(not(and(cin,and(t4,t7))),not(not(t5))) )],[refute_0_4061,refute_0_4062]) ).
cnf(refute_0_4064,plain,
not(and(cin,and(t4,t7))) = t5,
inference(resolve,[$cnf( $equal(not(not(t5)),t5) )],[refute_0_4051,refute_0_4063]) ).
cnf(refute_0_4065,plain,
not(and(X,and(X_206,X_205))) = or(not(X),not(and(X_206,X_205))),
inference(subst,[],[and_demorgan:[bind(Y,$fot(and(X_206,X_205)))]]) ).
cnf(refute_0_4066,plain,
not(and(X_206,X_205)) = not(and(X_205,X_206)),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(X_205)),bind(X_32,$fot(X_206))]]) ).
cnf(refute_0_4067,plain,
( not(and(X,and(X_206,X_205))) != or(not(X),not(and(X_206,X_205)))
| not(and(X_206,X_205)) != not(and(X_205,X_206))
| not(and(X,and(X_206,X_205))) = or(not(X),not(and(X_205,X_206))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X,and(X_206,X_205))),or(not(X),not(and(X_206,X_205)))) ),[1,1],$fot(not(and(X_205,X_206)))]]) ).
cnf(refute_0_4068,plain,
( not(and(X,and(X_206,X_205))) != or(not(X),not(and(X_206,X_205)))
| not(and(X,and(X_206,X_205))) = or(not(X),not(and(X_205,X_206))) ),
inference(resolve,[$cnf( $equal(not(and(X_206,X_205)),not(and(X_205,X_206))) )],[refute_0_4066,refute_0_4067]) ).
cnf(refute_0_4069,plain,
not(and(X,and(X_206,X_205))) = or(not(X),not(and(X_205,X_206))),
inference(resolve,[$cnf( $equal(not(and(X,and(X_206,X_205))),or(not(X),not(and(X_206,X_205)))) )],[refute_0_4065,refute_0_4068]) ).
cnf(refute_0_4070,plain,
or(not(X),not(and(X_205,X_206))) = not(and(X,and(X_205,X_206))),
inference(subst,[],[refute_0_147:[bind(Y,$fot(and(X_205,X_206)))]]) ).
cnf(refute_0_4071,plain,
( not(and(X,and(X_206,X_205))) != or(not(X),not(and(X_205,X_206)))
| or(not(X),not(and(X_205,X_206))) != not(and(X,and(X_205,X_206)))
| not(and(X,and(X_206,X_205))) = not(and(X,and(X_205,X_206))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(X,and(X_206,X_205))),not(and(X,and(X_205,X_206)))) ),[0],$fot(or(not(X),not(and(X_205,X_206))))]]) ).
cnf(refute_0_4072,plain,
( not(and(X,and(X_206,X_205))) != or(not(X),not(and(X_205,X_206)))
| not(and(X,and(X_206,X_205))) = not(and(X,and(X_205,X_206))) ),
inference(resolve,[$cnf( $equal(or(not(X),not(and(X_205,X_206))),not(and(X,and(X_205,X_206)))) )],[refute_0_4070,refute_0_4071]) ).
cnf(refute_0_4073,plain,
not(and(X,and(X_206,X_205))) = not(and(X,and(X_205,X_206))),
inference(resolve,[$cnf( $equal(not(and(X,and(X_206,X_205))),or(not(X),not(and(X_205,X_206)))) )],[refute_0_4069,refute_0_4072]) ).
cnf(refute_0_4074,plain,
( not(and(X,and(X_206,X_205))) != not(and(X,and(X_205,X_206)))
| not(and(X,and(X_205,X_206))) = not(and(X,and(X_206,X_205))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(X,and(X_206,X_205))))),bind(Y0,$fot(not(and(X,and(X_205,X_206)))))]]) ).
cnf(refute_0_4075,plain,
not(and(X,and(X_205,X_206))) = not(and(X,and(X_206,X_205))),
inference(resolve,[$cnf( $equal(not(and(X,and(X_206,X_205))),not(and(X,and(X_205,X_206)))) )],[refute_0_4073,refute_0_4074]) ).
cnf(refute_0_4076,plain,
not(and(cin,and(t7,t4))) = not(and(cin,and(t4,t7))),
inference(subst,[],[refute_0_4075:[bind(X,$fot(cin)),bind(X_205,$fot(t7)),bind(X_206,$fot(t4))]]) ).
cnf(refute_0_4077,plain,
not(and(and(cin,t7),Y)) = or(not(and(cin,t7)),not(Y)),
inference(subst,[],[and_demorgan:[bind(X,$fot(and(cin,t7)))]]) ).
cnf(refute_0_4078,plain,
( not(and(and(cin,t7),Y)) != or(not(and(cin,t7)),not(Y))
| not(and(cin,t7)) != xor(cin,t7)
| not(and(and(cin,t7),Y)) = or(xor(cin,t7),not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(cin,t7),Y)),or(not(and(cin,t7)),not(Y))) ),[1,0],$fot(xor(cin,t7))]]) ).
cnf(refute_0_4079,plain,
( not(and(and(cin,t7),Y)) != or(not(and(cin,t7)),not(Y))
| not(and(and(cin,t7),Y)) = or(xor(cin,t7),not(Y)) ),
inference(resolve,[$cnf( $equal(not(and(cin,t7)),xor(cin,t7)) )],[refute_0_3939,refute_0_4078]) ).
cnf(refute_0_4080,plain,
not(and(and(cin,t7),Y)) = or(xor(cin,t7),not(Y)),
inference(resolve,[$cnf( $equal(not(and(and(cin,t7),Y)),or(not(and(cin,t7)),not(Y))) )],[refute_0_4077,refute_0_4079]) ).
cnf(refute_0_4081,plain,
and(and(cin,t7),Y) = and(cin,and(t7,Y)),
inference(subst,[],[and_associative:[bind(X,$fot(cin)),bind(Y,$fot(t7)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_4082,plain,
not(and(and(cin,t7),Y)) = not(and(and(cin,t7),Y)),
introduced(tautology,[refl,[$fot(not(and(and(cin,t7),Y)))]]) ).
cnf(refute_0_4083,plain,
( and(and(cin,t7),Y) != and(cin,and(t7,Y))
| not(and(and(cin,t7),Y)) != not(and(and(cin,t7),Y))
| not(and(and(cin,t7),Y)) = not(and(cin,and(t7,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(cin,t7),Y)),not(and(and(cin,t7),Y))) ),[1,0],$fot(and(cin,and(t7,Y)))]]) ).
cnf(refute_0_4084,plain,
( and(and(cin,t7),Y) != and(cin,and(t7,Y))
| not(and(and(cin,t7),Y)) = not(and(cin,and(t7,Y))) ),
inference(resolve,[$cnf( $equal(not(and(and(cin,t7),Y)),not(and(and(cin,t7),Y))) )],[refute_0_4082,refute_0_4083]) ).
cnf(refute_0_4085,plain,
not(and(and(cin,t7),Y)) = not(and(cin,and(t7,Y))),
inference(resolve,[$cnf( $equal(and(and(cin,t7),Y),and(cin,and(t7,Y))) )],[refute_0_4081,refute_0_4084]) ).
cnf(refute_0_4086,plain,
( not(and(and(cin,t7),Y)) != not(and(cin,and(t7,Y)))
| not(and(and(cin,t7),Y)) != or(xor(cin,t7),not(Y))
| not(and(cin,and(t7,Y))) = or(xor(cin,t7),not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(cin,t7),Y)),or(xor(cin,t7),not(Y))) ),[0],$fot(not(and(cin,and(t7,Y))))]]) ).
cnf(refute_0_4087,plain,
( not(and(and(cin,t7),Y)) != or(xor(cin,t7),not(Y))
| not(and(cin,and(t7,Y))) = or(xor(cin,t7),not(Y)) ),
inference(resolve,[$cnf( $equal(not(and(and(cin,t7),Y)),not(and(cin,and(t7,Y)))) )],[refute_0_4085,refute_0_4086]) ).
cnf(refute_0_4088,plain,
not(and(cin,and(t7,Y))) = or(xor(cin,t7),not(Y)),
inference(resolve,[$cnf( $equal(not(and(and(cin,t7),Y)),or(xor(cin,t7),not(Y))) )],[refute_0_4080,refute_0_4087]) ).
cnf(refute_0_4089,plain,
( not(and(cin,and(t7,Y))) != or(xor(cin,t7),not(Y))
| or(xor(cin,t7),not(Y)) = not(and(cin,and(t7,Y))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(cin,and(t7,Y))))),bind(Y0,$fot(or(xor(cin,t7),not(Y))))]]) ).
cnf(refute_0_4090,plain,
or(xor(cin,t7),not(Y)) = not(and(cin,and(t7,Y))),
inference(resolve,[$cnf( $equal(not(and(cin,and(t7,Y))),or(xor(cin,t7),not(Y))) )],[refute_0_4088,refute_0_4089]) ).
cnf(refute_0_4091,plain,
or(xor(cin,t7),not(t4)) = not(and(cin,and(t7,t4))),
inference(subst,[],[refute_0_4090:[bind(Y,$fot(t4))]]) ).
cnf(refute_0_4092,plain,
( not(and(cin,and(t7,t4))) != not(and(cin,and(t4,t7)))
| or(xor(cin,t7),not(t4)) != not(and(cin,and(t7,t4)))
| or(xor(cin,t7),not(t4)) = not(and(cin,and(t4,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(xor(cin,t7),not(t4)))),bind(Y0,$fot(not(and(cin,and(t7,t4))))),bind(Z0,$fot(not(and(cin,and(t4,t7)))))]]) ).
cnf(refute_0_4093,plain,
( not(and(cin,and(t7,t4))) != not(and(cin,and(t4,t7)))
| or(xor(cin,t7),not(t4)) = not(and(cin,and(t4,t7))) ),
inference(resolve,[$cnf( $equal(or(xor(cin,t7),not(t4)),not(and(cin,and(t7,t4)))) )],[refute_0_4091,refute_0_4092]) ).
cnf(refute_0_4094,plain,
or(xor(cin,t7),not(t4)) = not(and(cin,and(t4,t7))),
inference(resolve,[$cnf( $equal(not(and(cin,and(t7,t4))),not(and(cin,and(t4,t7)))) )],[refute_0_4076,refute_0_4093]) ).
cnf(refute_0_4095,plain,
( not(and(cin,and(t4,t7))) != t5
| or(xor(cin,t7),not(t4)) != not(and(cin,and(t4,t7)))
| or(xor(cin,t7),not(t4)) = t5 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(xor(cin,t7),not(t4)))),bind(Y0,$fot(not(and(cin,and(t4,t7))))),bind(Z0,$fot(t5))]]) ).
cnf(refute_0_4096,plain,
( not(and(cin,and(t4,t7))) != t5
| or(xor(cin,t7),not(t4)) = t5 ),
inference(resolve,[$cnf( $equal(or(xor(cin,t7),not(t4)),not(and(cin,and(t4,t7)))) )],[refute_0_4094,refute_0_4095]) ).
cnf(refute_0_4097,plain,
or(xor(cin,t7),not(t4)) = t5,
inference(resolve,[$cnf( $equal(not(and(cin,and(t4,t7))),t5) )],[refute_0_4064,refute_0_4096]) ).
cnf(refute_0_4098,plain,
( or(xor(cin,t7),not(t4)) != t5
| or(xor(cin,t7),not(t4)) != xor(cin,t7)
| t5 = xor(cin,t7) ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(cin,t7),not(t4)),xor(cin,t7)) ),[0],$fot(t5)]]) ).
cnf(refute_0_4099,plain,
( or(xor(cin,t7),not(t4)) != xor(cin,t7)
| t5 = xor(cin,t7) ),
inference(resolve,[$cnf( $equal(or(xor(cin,t7),not(t4)),t5) )],[refute_0_4097,refute_0_4098]) ).
cnf(refute_0_4100,plain,
t5 = xor(cin,t7),
inference(resolve,[$cnf( $equal(or(xor(cin,t7),not(t4)),xor(cin,t7)) )],[refute_0_4050,refute_0_4099]) ).
cnf(refute_0_4101,plain,
( t5 != xor(cin,t7)
| xor(cin,t7) = t5 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(t5)),bind(Y0,$fot(xor(cin,t7)))]]) ).
cnf(refute_0_4102,plain,
xor(cin,t7) = t5,
inference(resolve,[$cnf( $equal(t5,xor(cin,t7)) )],[refute_0_4100,refute_0_4101]) ).
cnf(refute_0_4103,plain,
not(xor(cin,t7)) = not(xor(cin,t7)),
introduced(tautology,[refl,[$fot(not(xor(cin,t7)))]]) ).
cnf(refute_0_4104,plain,
( not(xor(cin,t7)) != not(xor(cin,t7))
| xor(cin,t7) != t5
| not(xor(cin,t7)) = not(t5) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(cin,t7)),not(xor(cin,t7))) ),[1,0],$fot(t5)]]) ).
cnf(refute_0_4105,plain,
( xor(cin,t7) != t5
| not(xor(cin,t7)) = not(t5) ),
inference(resolve,[$cnf( $equal(not(xor(cin,t7)),not(xor(cin,t7))) )],[refute_0_4103,refute_0_4104]) ).
cnf(refute_0_4106,plain,
not(xor(cin,t7)) = not(t5),
inference(resolve,[$cnf( $equal(xor(cin,t7),t5) )],[refute_0_4102,refute_0_4105]) ).
cnf(refute_0_4107,plain,
( not(xor(cin,t7)) != and(cin,t7)
| not(xor(cin,t7)) != not(t5)
| not(t5) = and(cin,t7) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(cin,t7)),and(cin,t7)) ),[0],$fot(not(t5))]]) ).
cnf(refute_0_4108,plain,
( not(xor(cin,t7)) != and(cin,t7)
| not(t5) = and(cin,t7) ),
inference(resolve,[$cnf( $equal(not(xor(cin,t7)),not(t5)) )],[refute_0_4106,refute_0_4107]) ).
cnf(refute_0_4109,plain,
not(t5) = and(cin,t7),
inference(resolve,[$cnf( $equal(not(xor(cin,t7)),and(cin,t7)) )],[refute_0_3942,refute_0_4108]) ).
cnf(refute_0_4110,plain,
( not(t5) != and(cin,t7)
| and(cin,t7) = not(t5) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t5))),bind(Y0,$fot(and(cin,t7)))]]) ).
cnf(refute_0_4111,plain,
and(cin,t7) = not(t5),
inference(resolve,[$cnf( $equal(not(t5),and(cin,t7)) )],[refute_0_4109,refute_0_4110]) ).
cnf(refute_0_4112,plain,
( and(cin,or(X_753,t7)) != or(and(cin,X_753),and(cin,t7))
| and(cin,t7) != not(t5)
| and(cin,or(X_753,t7)) = or(and(cin,X_753),not(t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,or(X_753,t7)),or(and(cin,X_753),and(cin,t7))) ),[1,1],$fot(not(t5))]]) ).
cnf(refute_0_4113,plain,
( and(cin,or(X_753,t7)) != or(and(cin,X_753),and(cin,t7))
| and(cin,or(X_753,t7)) = or(and(cin,X_753),not(t5)) ),
inference(resolve,[$cnf( $equal(and(cin,t7),not(t5)) )],[refute_0_4111,refute_0_4112]) ).
cnf(refute_0_4114,plain,
and(cin,or(X_753,t7)) = or(and(cin,X_753),not(t5)),
inference(resolve,[$cnf( $equal(and(cin,or(X_753,t7)),or(and(cin,X_753),and(cin,t7))) )],[refute_0_3915,refute_0_4113]) ).
cnf(refute_0_4115,plain,
and(cin,or(X_753,t4)) = or(and(cin,X_753),and(cin,t4)),
inference(subst,[],[or_distributive:[bind(X,$fot(cin)),bind(Y,$fot(X_753)),bind(Z,$fot(t4))]]) ).
cnf(refute_0_4116,plain,
( and(cin,or(X_753,t4)) != or(and(cin,X_753),and(cin,t4))
| and(cin,t4) != not(t5)
| and(cin,or(X_753,t4)) = or(and(cin,X_753),not(t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,or(X_753,t4)),or(and(cin,X_753),and(cin,t4))) ),[1,1],$fot(not(t5))]]) ).
cnf(refute_0_4117,plain,
( and(cin,or(X_753,t4)) != or(and(cin,X_753),and(cin,t4))
| and(cin,or(X_753,t4)) = or(and(cin,X_753),not(t5)) ),
inference(resolve,[$cnf( $equal(and(cin,t4),not(t5)) )],[refute_0_838,refute_0_4116]) ).
cnf(refute_0_4118,plain,
and(cin,or(X_753,t4)) = or(and(cin,X_753),not(t5)),
inference(resolve,[$cnf( $equal(and(cin,or(X_753,t4)),or(and(cin,X_753),and(cin,t4))) )],[refute_0_4115,refute_0_4117]) ).
cnf(refute_0_4119,plain,
and(cin,or(X_753,not(t5))) = or(and(cin,X_753),and(cin,not(t5))),
inference(subst,[],[or_distributive:[bind(X,$fot(cin)),bind(Y,$fot(X_753)),bind(Z,$fot(not(t5)))]]) ).
cnf(refute_0_4120,plain,
( and(cin,not(t5)) != not(t5)
| and(cin,or(X_753,not(t5))) != or(and(cin,X_753),and(cin,not(t5)))
| and(cin,or(X_753,not(t5))) = or(and(cin,X_753),not(t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,or(X_753,not(t5))),or(and(cin,X_753),and(cin,not(t5)))) ),[1,1],$fot(not(t5))]]) ).
cnf(refute_0_4121,plain,
( and(cin,or(X_753,not(t5))) != or(and(cin,X_753),and(cin,not(t5)))
| and(cin,or(X_753,not(t5))) = or(and(cin,X_753),not(t5)) ),
inference(resolve,[$cnf( $equal(and(cin,not(t5)),not(t5)) )],[refute_0_2460,refute_0_4120]) ).
cnf(refute_0_4122,plain,
and(cin,or(X_753,not(t5))) = or(and(cin,X_753),not(t5)),
inference(resolve,[$cnf( $equal(and(cin,or(X_753,not(t5))),or(and(cin,X_753),and(cin,not(t5)))) )],[refute_0_4119,refute_0_4121]) ).
cnf(refute_0_4123,plain,
or(and(cin,X_753),not(t5)) = or(not(t5),and(cin,X_753)),
inference(subst,[],[refute_0_5:[bind(X,$fot(not(t5))),bind(Y,$fot(and(cin,X_753)))]]) ).
cnf(refute_0_4124,plain,
( and(cin,or(X_753,not(t5))) != or(and(cin,X_753),not(t5))
| or(and(cin,X_753),not(t5)) != or(not(t5),and(cin,X_753))
| and(cin,or(X_753,not(t5))) = or(not(t5),and(cin,X_753)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(cin,or(X_753,not(t5))),or(not(t5),and(cin,X_753))) ),[0],$fot(or(and(cin,X_753),not(t5)))]]) ).
cnf(refute_0_4125,plain,
( and(cin,or(X_753,not(t5))) != or(and(cin,X_753),not(t5))
| and(cin,or(X_753,not(t5))) = or(not(t5),and(cin,X_753)) ),
inference(resolve,[$cnf( $equal(or(and(cin,X_753),not(t5)),or(not(t5),and(cin,X_753))) )],[refute_0_4123,refute_0_4124]) ).
cnf(refute_0_4126,plain,
and(cin,or(X_753,not(t5))) = or(not(t5),and(cin,X_753)),
inference(resolve,[$cnf( $equal(and(cin,or(X_753,not(t5))),or(and(cin,X_753),not(t5))) )],[refute_0_4122,refute_0_4125]) ).
cnf(refute_0_4127,plain,
( and(cin,or(X_753,not(t5))) != or(not(t5),and(cin,X_753))
| or(not(t5),and(cin,X_753)) = and(cin,or(X_753,not(t5))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(cin,or(X_753,not(t5))))),bind(Y0,$fot(or(not(t5),and(cin,X_753))))]]) ).
cnf(refute_0_4128,plain,
or(not(t5),and(cin,X_753)) = and(cin,or(X_753,not(t5))),
inference(resolve,[$cnf( $equal(and(cin,or(X_753,not(t5))),or(not(t5),and(cin,X_753))) )],[refute_0_4126,refute_0_4127]) ).
cnf(refute_0_4129,plain,
( or(and(cin,X_753),not(t5)) != or(not(t5),and(cin,X_753))
| or(not(t5),and(cin,X_753)) != and(cin,or(X_753,not(t5)))
| or(and(cin,X_753),not(t5)) = and(cin,or(X_753,not(t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(cin,X_753),not(t5)))),bind(Y0,$fot(or(not(t5),and(cin,X_753)))),bind(Z0,$fot(and(cin,or(X_753,not(t5)))))]]) ).
cnf(refute_0_4130,plain,
( or(not(t5),and(cin,X_753)) != and(cin,or(X_753,not(t5)))
| or(and(cin,X_753),not(t5)) = and(cin,or(X_753,not(t5))) ),
inference(resolve,[$cnf( $equal(or(and(cin,X_753),not(t5)),or(not(t5),and(cin,X_753))) )],[refute_0_4123,refute_0_4129]) ).
cnf(refute_0_4131,plain,
or(and(cin,X_753),not(t5)) = and(cin,or(X_753,not(t5))),
inference(resolve,[$cnf( $equal(or(not(t5),and(cin,X_753)),and(cin,or(X_753,not(t5)))) )],[refute_0_4128,refute_0_4130]) ).
cnf(refute_0_4132,plain,
( and(cin,or(X_753,t4)) != or(and(cin,X_753),not(t5))
| or(and(cin,X_753),not(t5)) != and(cin,or(X_753,not(t5)))
| and(cin,or(X_753,t4)) = and(cin,or(X_753,not(t5))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(cin,or(X_753,t4)),and(cin,or(X_753,not(t5)))) ),[0],$fot(or(and(cin,X_753),not(t5)))]]) ).
cnf(refute_0_4133,plain,
( and(cin,or(X_753,t4)) != or(and(cin,X_753),not(t5))
| and(cin,or(X_753,t4)) = and(cin,or(X_753,not(t5))) ),
inference(resolve,[$cnf( $equal(or(and(cin,X_753),not(t5)),and(cin,or(X_753,not(t5)))) )],[refute_0_4131,refute_0_4132]) ).
cnf(refute_0_4134,plain,
and(cin,or(X_753,t4)) = and(cin,or(X_753,not(t5))),
inference(resolve,[$cnf( $equal(and(cin,or(X_753,t4)),or(and(cin,X_753),not(t5))) )],[refute_0_4118,refute_0_4133]) ).
cnf(refute_0_4135,plain,
( and(cin,or(X_753,t4)) != and(cin,or(X_753,not(t5)))
| and(cin,or(X_753,not(t5))) = and(cin,or(X_753,t4)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(cin,or(X_753,t4)))),bind(Y0,$fot(and(cin,or(X_753,not(t5)))))]]) ).
cnf(refute_0_4136,plain,
and(cin,or(X_753,not(t5))) = and(cin,or(X_753,t4)),
inference(resolve,[$cnf( $equal(and(cin,or(X_753,t4)),and(cin,or(X_753,not(t5)))) )],[refute_0_4134,refute_0_4135]) ).
cnf(refute_0_4137,plain,
( and(cin,or(X_753,not(t5))) != and(cin,or(X_753,t4))
| or(not(t5),and(cin,X_753)) != and(cin,or(X_753,not(t5)))
| or(not(t5),and(cin,X_753)) = and(cin,or(X_753,t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t5),and(cin,X_753)))),bind(Y0,$fot(and(cin,or(X_753,not(t5))))),bind(Z0,$fot(and(cin,or(X_753,t4))))]]) ).
cnf(refute_0_4138,plain,
( and(cin,or(X_753,not(t5))) != and(cin,or(X_753,t4))
| or(not(t5),and(cin,X_753)) = and(cin,or(X_753,t4)) ),
inference(resolve,[$cnf( $equal(or(not(t5),and(cin,X_753)),and(cin,or(X_753,not(t5)))) )],[refute_0_4128,refute_0_4137]) ).
cnf(refute_0_4139,plain,
or(not(t5),and(cin,X_753)) = and(cin,or(X_753,t4)),
inference(resolve,[$cnf( $equal(and(cin,or(X_753,not(t5))),and(cin,or(X_753,t4))) )],[refute_0_4136,refute_0_4138]) ).
cnf(refute_0_4140,plain,
( or(and(cin,X_753),not(t5)) != or(not(t5),and(cin,X_753))
| or(not(t5),and(cin,X_753)) != and(cin,or(X_753,t4))
| or(and(cin,X_753),not(t5)) = and(cin,or(X_753,t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(cin,X_753),not(t5)))),bind(Y0,$fot(or(not(t5),and(cin,X_753)))),bind(Z0,$fot(and(cin,or(X_753,t4))))]]) ).
cnf(refute_0_4141,plain,
( or(not(t5),and(cin,X_753)) != and(cin,or(X_753,t4))
| or(and(cin,X_753),not(t5)) = and(cin,or(X_753,t4)) ),
inference(resolve,[$cnf( $equal(or(and(cin,X_753),not(t5)),or(not(t5),and(cin,X_753))) )],[refute_0_4123,refute_0_4140]) ).
cnf(refute_0_4142,plain,
or(and(cin,X_753),not(t5)) = and(cin,or(X_753,t4)),
inference(resolve,[$cnf( $equal(or(not(t5),and(cin,X_753)),and(cin,or(X_753,t4))) )],[refute_0_4139,refute_0_4141]) ).
cnf(refute_0_4143,plain,
( and(cin,or(X_753,t7)) != or(and(cin,X_753),not(t5))
| or(and(cin,X_753),not(t5)) != and(cin,or(X_753,t4))
| and(cin,or(X_753,t7)) = and(cin,or(X_753,t4)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(cin,or(X_753,t7)),and(cin,or(X_753,t4))) ),[0],$fot(or(and(cin,X_753),not(t5)))]]) ).
cnf(refute_0_4144,plain,
( and(cin,or(X_753,t7)) != or(and(cin,X_753),not(t5))
| and(cin,or(X_753,t7)) = and(cin,or(X_753,t4)) ),
inference(resolve,[$cnf( $equal(or(and(cin,X_753),not(t5)),and(cin,or(X_753,t4))) )],[refute_0_4142,refute_0_4143]) ).
cnf(refute_0_4145,plain,
and(cin,or(X_753,t7)) = and(cin,or(X_753,t4)),
inference(resolve,[$cnf( $equal(and(cin,or(X_753,t7)),or(and(cin,X_753),not(t5))) )],[refute_0_4114,refute_0_4144]) ).
cnf(refute_0_4146,plain,
and(cin,or(a,t7)) = and(cin,or(a,t4)),
inference(subst,[],[refute_0_4145:[bind(X_753,$fot(a))]]) ).
cnf(refute_0_4147,plain,
( and(cin,or(a,t4)) != and(carry_def,cin)
| and(cin,or(a,t7)) != and(cin,or(a,t4))
| and(cin,or(a,t7)) = and(carry_def,cin) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(cin,or(a,t7)))),bind(Y0,$fot(and(cin,or(a,t4)))),bind(Z0,$fot(and(carry_def,cin)))]]) ).
cnf(refute_0_4148,plain,
( and(cin,or(a,t4)) != and(carry_def,cin)
| and(cin,or(a,t7)) = and(carry_def,cin) ),
inference(resolve,[$cnf( $equal(and(cin,or(a,t7)),and(cin,or(a,t4))) )],[refute_0_4146,refute_0_4147]) ).
cnf(refute_0_4149,plain,
and(cin,or(a,t7)) = and(carry_def,cin),
inference(resolve,[$cnf( $equal(and(cin,or(a,t4)),and(carry_def,cin)) )],[refute_0_3914,refute_0_4148]) ).
cnf(refute_0_4150,plain,
not(and(cin,or(a,t7))) = not(and(cin,or(a,t7))),
introduced(tautology,[refl,[$fot(not(and(cin,or(a,t7))))]]) ).
cnf(refute_0_4151,plain,
( and(cin,or(a,t7)) != and(carry_def,cin)
| not(and(cin,or(a,t7))) != not(and(cin,or(a,t7)))
| not(and(cin,or(a,t7))) = not(and(carry_def,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(cin,or(a,t7))),not(and(cin,or(a,t7)))) ),[1,0],$fot(and(carry_def,cin))]]) ).
cnf(refute_0_4152,plain,
( and(cin,or(a,t7)) != and(carry_def,cin)
| not(and(cin,or(a,t7))) = not(and(carry_def,cin)) ),
inference(resolve,[$cnf( $equal(not(and(cin,or(a,t7))),not(and(cin,or(a,t7)))) )],[refute_0_4150,refute_0_4151]) ).
cnf(refute_0_4153,plain,
not(and(cin,or(a,t7))) = not(and(carry_def,cin)),
inference(resolve,[$cnf( $equal(and(cin,or(a,t7)),and(carry_def,cin)) )],[refute_0_4149,refute_0_4152]) ).
cnf(refute_0_4154,plain,
or(carry,not(and(cin,or(a,t7)))) = or(carry,not(and(cin,or(a,t7)))),
introduced(tautology,[refl,[$fot(or(carry,not(and(cin,or(a,t7)))))]]) ).
cnf(refute_0_4155,plain,
( not(and(cin,or(a,t7))) != not(and(carry_def,cin))
| or(carry,not(and(cin,or(a,t7)))) != or(carry,not(and(cin,or(a,t7))))
| or(carry,not(and(cin,or(a,t7)))) = or(carry,not(and(carry_def,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(and(cin,or(a,t7)))),or(carry,not(and(cin,or(a,t7))))) ),[1,1],$fot(not(and(carry_def,cin)))]]) ).
cnf(refute_0_4156,plain,
( not(and(cin,or(a,t7))) != not(and(carry_def,cin))
| or(carry,not(and(cin,or(a,t7)))) = or(carry,not(and(carry_def,cin))) ),
inference(resolve,[$cnf( $equal(or(carry,not(and(cin,or(a,t7)))),or(carry,not(and(cin,or(a,t7))))) )],[refute_0_4154,refute_0_4155]) ).
cnf(refute_0_4157,plain,
or(carry,not(and(cin,or(a,t7)))) = or(carry,not(and(carry_def,cin))),
inference(resolve,[$cnf( $equal(not(and(cin,or(a,t7))),not(and(carry_def,cin))) )],[refute_0_4153,refute_0_4156]) ).
cnf(refute_0_4158,plain,
( or(carry,not(and(cin,or(a,t7)))) != ll1
| or(carry,not(and(cin,or(a,t7)))) != or(carry,not(and(carry_def,cin)))
| or(carry,not(and(carry_def,cin))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(and(cin,or(a,t7)))),ll1) ),[0],$fot(or(carry,not(and(carry_def,cin))))]]) ).
cnf(refute_0_4159,plain,
( or(carry,not(and(cin,or(a,t7)))) != ll1
| or(carry,not(and(carry_def,cin))) = ll1 ),
inference(resolve,[$cnf( $equal(or(carry,not(and(cin,or(a,t7)))),or(carry,not(and(carry_def,cin)))) )],[refute_0_4157,refute_0_4158]) ).
cnf(refute_0_4160,plain,
or(carry,not(and(carry_def,cin))) = ll1,
inference(resolve,[$cnf( $equal(or(carry,not(and(cin,or(a,t7)))),ll1) )],[refute_0_2758,refute_0_4159]) ).
cnf(refute_0_4161,plain,
( ll0 != xor(or(carry,not(and(carry_def,cin))),or(not(and(carry_def,cin)),carry))
| or(carry,not(and(carry_def,cin))) != ll1
| ll0 = xor(ll1,or(not(and(carry_def,cin)),carry)) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,xor(or(carry,not(and(carry_def,cin))),or(not(and(carry_def,cin)),carry))) ),[1,0],$fot(ll1)]]) ).
cnf(refute_0_4162,plain,
( ll0 != xor(or(carry,not(and(carry_def,cin))),or(not(and(carry_def,cin)),carry))
| ll0 = xor(ll1,or(not(and(carry_def,cin)),carry)) ),
inference(resolve,[$cnf( $equal(or(carry,not(and(carry_def,cin))),ll1) )],[refute_0_4160,refute_0_4161]) ).
cnf(refute_0_4163,plain,
ll0 = xor(ll1,or(not(and(carry_def,cin)),carry)),
inference(resolve,[$cnf( $equal(ll0,xor(or(carry,not(and(carry_def,cin))),or(not(and(carry_def,cin)),carry))) )],[refute_0_154,refute_0_4162]) ).
cnf(refute_0_4164,plain,
( and(cin,not(carry)) != not(or(carry,t7))
| not(or(carry,t7)) != not(or(a,t7))
| and(cin,not(carry)) = not(or(a,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(cin,not(carry)),not(or(a,t7))) ),[0],$fot(not(or(carry,t7)))]]) ).
cnf(refute_0_4165,plain,
( and(cin,not(carry)) != not(or(carry,t7))
| and(cin,not(carry)) = not(or(a,t7)) ),
inference(resolve,[$cnf( $equal(not(or(carry,t7)),not(or(a,t7))) )],[refute_0_2714,refute_0_4164]) ).
cnf(refute_0_4166,plain,
and(cin,not(carry)) = not(or(a,t7)),
inference(resolve,[$cnf( $equal(and(cin,not(carry)),not(or(carry,t7))) )],[refute_0_246,refute_0_4165]) ).
cnf(refute_0_4167,plain,
and(carry_def,and(cin,not(carry))) = and(carry_def,and(cin,not(carry))),
introduced(tautology,[refl,[$fot(and(carry_def,and(cin,not(carry))))]]) ).
cnf(refute_0_4168,plain,
( and(carry_def,and(cin,not(carry))) != and(carry_def,and(cin,not(carry)))
| and(cin,not(carry)) != not(or(a,t7))
| and(carry_def,and(cin,not(carry))) = and(carry_def,not(or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry_def,and(cin,not(carry))),and(carry_def,and(cin,not(carry)))) ),[1,1],$fot(not(or(a,t7)))]]) ).
cnf(refute_0_4169,plain,
( and(cin,not(carry)) != not(or(a,t7))
| and(carry_def,and(cin,not(carry))) = and(carry_def,not(or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(carry_def,and(cin,not(carry))),and(carry_def,and(cin,not(carry)))) )],[refute_0_4167,refute_0_4168]) ).
cnf(refute_0_4170,plain,
and(carry_def,and(cin,not(carry))) = and(carry_def,not(or(a,t7))),
inference(resolve,[$cnf( $equal(and(cin,not(carry)),not(or(a,t7))) )],[refute_0_4166,refute_0_4169]) ).
cnf(refute_0_4171,plain,
and(carry_def,and(not(carry),cin)) = and(carry_def,and(cin,not(carry))),
inference(subst,[],[refute_0_2637:[bind(X_220,$fot(carry_def)),bind(X_221,$fot(cin)),bind(X_222,$fot(not(carry)))]]) ).
cnf(refute_0_4172,plain,
and(and(X,and(X_669,X)),Z) = and(X,and(and(X_669,X),Z)),
inference(subst,[],[and_associative:[bind(Y,$fot(and(X_669,X)))]]) ).
cnf(refute_0_4173,plain,
and(and(X_22,Y),or(X_22,and(X_22,Y))) = and(X_22,Y),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(and(X_22,Y))),bind(X_20,$fot(X_22))]]) ).
cnf(refute_0_4174,plain,
or(X_22,and(X_22,Y)) = X_22,
inference(subst,[],[or_absorption:[bind(X,$fot(X_22))]]) ).
cnf(refute_0_4175,plain,
( and(and(X_22,Y),or(X_22,and(X_22,Y))) != and(X_22,Y)
| or(X_22,and(X_22,Y)) != X_22
| and(and(X_22,Y),X_22) = and(X_22,Y) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X_22,Y),or(X_22,and(X_22,Y))),and(X_22,Y)) ),[0,1],$fot(X_22)]]) ).
cnf(refute_0_4176,plain,
( and(and(X_22,Y),or(X_22,and(X_22,Y))) != and(X_22,Y)
| and(and(X_22,Y),X_22) = and(X_22,Y) ),
inference(resolve,[$cnf( $equal(or(X_22,and(X_22,Y)),X_22) )],[refute_0_4174,refute_0_4175]) ).
cnf(refute_0_4177,plain,
and(and(X_22,Y),X_22) = and(X_22,Y),
inference(resolve,[$cnf( $equal(and(and(X_22,Y),or(X_22,and(X_22,Y))),and(X_22,Y)) )],[refute_0_4173,refute_0_4176]) ).
cnf(refute_0_4178,plain,
and(and(X_22,Y),X_22) = and(X_22,and(Y,X_22)),
inference(subst,[],[and_associative:[bind(X,$fot(X_22)),bind(Z,$fot(X_22))]]) ).
cnf(refute_0_4179,plain,
( and(and(X_22,Y),X_22) != and(X_22,Y)
| and(and(X_22,Y),X_22) != and(X_22,and(Y,X_22))
| and(X_22,and(Y,X_22)) = and(X_22,Y) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X_22,Y),X_22),and(X_22,Y)) ),[0],$fot(and(X_22,and(Y,X_22)))]]) ).
cnf(refute_0_4180,plain,
( and(and(X_22,Y),X_22) != and(X_22,Y)
| and(X_22,and(Y,X_22)) = and(X_22,Y) ),
inference(resolve,[$cnf( $equal(and(and(X_22,Y),X_22),and(X_22,and(Y,X_22))) )],[refute_0_4178,refute_0_4179]) ).
cnf(refute_0_4181,plain,
and(X_22,and(Y,X_22)) = and(X_22,Y),
inference(resolve,[$cnf( $equal(and(and(X_22,Y),X_22),and(X_22,Y)) )],[refute_0_4177,refute_0_4180]) ).
cnf(refute_0_4182,plain,
and(X,and(X_669,X)) = and(X,X_669),
inference(subst,[],[refute_0_4181:[bind(Y,$fot(X_669)),bind(X_22,$fot(X))]]) ).
cnf(refute_0_4183,plain,
( and(X,and(X_669,X)) != and(X,X_669)
| and(and(X,and(X_669,X)),Z) != and(X,and(and(X_669,X),Z))
| and(and(X,X_669),Z) = and(X,and(and(X_669,X),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X,and(X_669,X)),Z),and(X,and(and(X_669,X),Z))) ),[0,0],$fot(and(X,X_669))]]) ).
cnf(refute_0_4184,plain,
( and(and(X,and(X_669,X)),Z) != and(X,and(and(X_669,X),Z))
| and(and(X,X_669),Z) = and(X,and(and(X_669,X),Z)) ),
inference(resolve,[$cnf( $equal(and(X,and(X_669,X)),and(X,X_669)) )],[refute_0_4182,refute_0_4183]) ).
cnf(refute_0_4185,plain,
and(and(X,X_669),Z) = and(X,and(and(X_669,X),Z)),
inference(resolve,[$cnf( $equal(and(and(X,and(X_669,X)),Z),and(X,and(and(X_669,X),Z))) )],[refute_0_4172,refute_0_4184]) ).
cnf(refute_0_4186,plain,
and(and(X,X_669),Z) = and(X,and(X_669,Z)),
inference(subst,[],[and_associative:[bind(Y,$fot(X_669))]]) ).
cnf(refute_0_4187,plain,
( and(and(X,X_669),Z) != and(X,and(X_669,Z))
| and(and(X,X_669),Z) != and(X,and(and(X_669,X),Z))
| and(X,and(X_669,Z)) = and(X,and(and(X_669,X),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X,X_669),Z),and(X,and(and(X_669,X),Z))) ),[0],$fot(and(X,and(X_669,Z)))]]) ).
cnf(refute_0_4188,plain,
( and(and(X,X_669),Z) != and(X,and(and(X_669,X),Z))
| and(X,and(X_669,Z)) = and(X,and(and(X_669,X),Z)) ),
inference(resolve,[$cnf( $equal(and(and(X,X_669),Z),and(X,and(X_669,Z))) )],[refute_0_4186,refute_0_4187]) ).
cnf(refute_0_4189,plain,
and(and(X,Y),and(X_669,Y)) = and(X,and(Y,and(X_669,Y))),
inference(subst,[],[and_associative:[bind(Z,$fot(and(X_669,Y)))]]) ).
cnf(refute_0_4190,plain,
and(Y,and(X_669,Y)) = and(Y,X_669),
inference(subst,[],[refute_0_4181:[bind(Y,$fot(X_669)),bind(X_22,$fot(Y))]]) ).
cnf(refute_0_4191,plain,
( and(Y,and(X_669,Y)) != and(Y,X_669)
| and(and(X,Y),and(X_669,Y)) != and(X,and(Y,and(X_669,Y)))
| and(and(X,Y),and(X_669,Y)) = and(X,and(Y,X_669)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X,Y),and(X_669,Y)),and(X,and(Y,and(X_669,Y)))) ),[1,1],$fot(and(Y,X_669))]]) ).
cnf(refute_0_4192,plain,
( and(and(X,Y),and(X_669,Y)) != and(X,and(Y,and(X_669,Y)))
| and(and(X,Y),and(X_669,Y)) = and(X,and(Y,X_669)) ),
inference(resolve,[$cnf( $equal(and(Y,and(X_669,Y)),and(Y,X_669)) )],[refute_0_4190,refute_0_4191]) ).
cnf(refute_0_4193,plain,
and(and(X,Y),and(X_669,Y)) = and(X,and(Y,X_669)),
inference(resolve,[$cnf( $equal(and(and(X,Y),and(X_669,Y)),and(X,and(Y,and(X_669,Y)))) )],[refute_0_4189,refute_0_4192]) ).
cnf(refute_0_4194,plain,
and(and(X,Y),X_669) = and(X,and(Y,X_669)),
inference(subst,[],[and_associative:[bind(Z,$fot(X_669))]]) ).
cnf(refute_0_4195,plain,
and(Y,and(and(X,Y),X_669)) = and(Y,and(and(X,Y),X_669)),
introduced(tautology,[refl,[$fot(and(Y,and(and(X,Y),X_669)))]]) ).
cnf(refute_0_4196,plain,
( and(Y,and(and(X,Y),X_669)) != and(Y,and(and(X,Y),X_669))
| and(and(X,Y),X_669) != and(X,and(Y,X_669))
| and(Y,and(and(X,Y),X_669)) = and(Y,and(X,and(Y,X_669))) ),
introduced(tautology,[equality,[$cnf( $equal(and(Y,and(and(X,Y),X_669)),and(Y,and(and(X,Y),X_669))) ),[1,1],$fot(and(X,and(Y,X_669)))]]) ).
cnf(refute_0_4197,plain,
( and(and(X,Y),X_669) != and(X,and(Y,X_669))
| and(Y,and(and(X,Y),X_669)) = and(Y,and(X,and(Y,X_669))) ),
inference(resolve,[$cnf( $equal(and(Y,and(and(X,Y),X_669)),and(Y,and(and(X,Y),X_669))) )],[refute_0_4195,refute_0_4196]) ).
cnf(refute_0_4198,plain,
and(Y,and(and(X,Y),X_669)) = and(Y,and(X,and(Y,X_669))),
inference(resolve,[$cnf( $equal(and(and(X,Y),X_669),and(X,and(Y,X_669))) )],[refute_0_4194,refute_0_4197]) ).
cnf(refute_0_4199,plain,
and(and(X,Y),and(X_669,Y)) = and(Y,and(and(X,Y),X_669)),
inference(subst,[],[refute_0_889:[bind(X,$fot(Y)),bind(X_220,$fot(and(X,Y))),bind(X_221,$fot(X_669))]]) ).
cnf(refute_0_4200,plain,
( and(Y,and(and(X,Y),X_669)) != and(Y,and(X,and(Y,X_669)))
| and(and(X,Y),and(X_669,Y)) != and(Y,and(and(X,Y),X_669))
| and(and(X,Y),and(X_669,Y)) = and(Y,and(X,and(Y,X_669))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(X,Y),and(X_669,Y)))),bind(Y0,$fot(and(Y,and(and(X,Y),X_669)))),bind(Z0,$fot(and(Y,and(X,and(Y,X_669)))))]]) ).
cnf(refute_0_4201,plain,
( and(Y,and(and(X,Y),X_669)) != and(Y,and(X,and(Y,X_669)))
| and(and(X,Y),and(X_669,Y)) = and(Y,and(X,and(Y,X_669))) ),
inference(resolve,[$cnf( $equal(and(and(X,Y),and(X_669,Y)),and(Y,and(and(X,Y),X_669))) )],[refute_0_4199,refute_0_4200]) ).
cnf(refute_0_4202,plain,
and(and(X,Y),and(X_669,Y)) = and(Y,and(X,and(Y,X_669))),
inference(resolve,[$cnf( $equal(and(Y,and(and(X,Y),X_669)),and(Y,and(X,and(Y,X_669)))) )],[refute_0_4198,refute_0_4201]) ).
cnf(refute_0_4203,plain,
( and(and(X,Y),and(X_669,Y)) != and(X,and(Y,X_669))
| and(and(X,Y),and(X_669,Y)) != and(Y,and(X,and(Y,X_669)))
| and(Y,and(X,and(Y,X_669))) = and(X,and(Y,X_669)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X,Y),and(X_669,Y)),and(X,and(Y,X_669))) ),[0],$fot(and(Y,and(X,and(Y,X_669))))]]) ).
cnf(refute_0_4204,plain,
( and(and(X,Y),and(X_669,Y)) != and(X,and(Y,X_669))
| and(Y,and(X,and(Y,X_669))) = and(X,and(Y,X_669)) ),
inference(resolve,[$cnf( $equal(and(and(X,Y),and(X_669,Y)),and(Y,and(X,and(Y,X_669)))) )],[refute_0_4202,refute_0_4203]) ).
cnf(refute_0_4205,plain,
and(Y,and(X,and(Y,X_669))) = and(X,and(Y,X_669)),
inference(resolve,[$cnf( $equal(and(and(X,Y),and(X_669,Y)),and(X,and(Y,X_669))) )],[refute_0_4193,refute_0_4204]) ).
cnf(refute_0_4206,plain,
and(X,and(X_669,and(X,Z))) = and(X_669,and(X,Z)),
inference(subst,[],[refute_0_4205:[bind(X,$fot(X_669)),bind(Y,$fot(X)),bind(X_669,$fot(Z))]]) ).
cnf(refute_0_4207,plain,
and(and(X_669,X),Z) = and(X_669,and(X,Z)),
inference(subst,[],[and_associative:[bind(X,$fot(X_669)),bind(Y,$fot(X))]]) ).
cnf(refute_0_4208,plain,
and(X,and(and(X_669,X),Z)) = and(X,and(and(X_669,X),Z)),
introduced(tautology,[refl,[$fot(and(X,and(and(X_669,X),Z)))]]) ).
cnf(refute_0_4209,plain,
( and(X,and(and(X_669,X),Z)) != and(X,and(and(X_669,X),Z))
| and(and(X_669,X),Z) != and(X_669,and(X,Z))
| and(X,and(and(X_669,X),Z)) = and(X,and(X_669,and(X,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(and(X,and(and(X_669,X),Z)),and(X,and(and(X_669,X),Z))) ),[1,1],$fot(and(X_669,and(X,Z)))]]) ).
cnf(refute_0_4210,plain,
( and(and(X_669,X),Z) != and(X_669,and(X,Z))
| and(X,and(and(X_669,X),Z)) = and(X,and(X_669,and(X,Z))) ),
inference(resolve,[$cnf( $equal(and(X,and(and(X_669,X),Z)),and(X,and(and(X_669,X),Z))) )],[refute_0_4208,refute_0_4209]) ).
cnf(refute_0_4211,plain,
and(X,and(and(X_669,X),Z)) = and(X,and(X_669,and(X,Z))),
inference(resolve,[$cnf( $equal(and(and(X_669,X),Z),and(X_669,and(X,Z))) )],[refute_0_4207,refute_0_4210]) ).
cnf(refute_0_4212,plain,
( and(X,and(X_669,and(X,Z))) != and(X_669,and(X,Z))
| and(X,and(and(X_669,X),Z)) != and(X,and(X_669,and(X,Z)))
| and(X,and(and(X_669,X),Z)) = and(X_669,and(X,Z)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(X,and(and(X_669,X),Z)))),bind(Y0,$fot(and(X,and(X_669,and(X,Z))))),bind(Z0,$fot(and(X_669,and(X,Z))))]]) ).
cnf(refute_0_4213,plain,
( and(X,and(X_669,and(X,Z))) != and(X_669,and(X,Z))
| and(X,and(and(X_669,X),Z)) = and(X_669,and(X,Z)) ),
inference(resolve,[$cnf( $equal(and(X,and(and(X_669,X),Z)),and(X,and(X_669,and(X,Z)))) )],[refute_0_4211,refute_0_4212]) ).
cnf(refute_0_4214,plain,
and(X,and(and(X_669,X),Z)) = and(X_669,and(X,Z)),
inference(resolve,[$cnf( $equal(and(X,and(X_669,and(X,Z))),and(X_669,and(X,Z))) )],[refute_0_4206,refute_0_4213]) ).
cnf(refute_0_4215,plain,
( and(X,and(X_669,Z)) != and(X,and(and(X_669,X),Z))
| and(X,and(and(X_669,X),Z)) != and(X_669,and(X,Z))
| and(X,and(X_669,Z)) = and(X_669,and(X,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(X,and(X_669,Z)),and(X_669,and(X,Z))) ),[0],$fot(and(X,and(and(X_669,X),Z)))]]) ).
cnf(refute_0_4216,plain,
( and(X,and(X_669,Z)) != and(X,and(and(X_669,X),Z))
| and(X,and(X_669,Z)) = and(X_669,and(X,Z)) ),
inference(resolve,[$cnf( $equal(and(X,and(and(X_669,X),Z)),and(X_669,and(X,Z))) )],[refute_0_4214,refute_0_4215]) ).
cnf(refute_0_4217,plain,
( and(and(X,X_669),Z) != and(X,and(and(X_669,X),Z))
| and(X,and(X_669,Z)) = and(X_669,and(X,Z)) ),
inference(resolve,[$cnf( $equal(and(X,and(X_669,Z)),and(X,and(and(X_669,X),Z))) )],[refute_0_4188,refute_0_4216]) ).
cnf(refute_0_4218,plain,
and(X,and(X_669,Z)) = and(X_669,and(X,Z)),
inference(resolve,[$cnf( $equal(and(and(X,X_669),Z),and(X,and(and(X_669,X),Z))) )],[refute_0_4185,refute_0_4217]) ).
cnf(refute_0_4219,plain,
( and(X,and(X_669,Z)) != and(X_669,and(X,Z))
| and(X_669,and(X,Z)) = and(X,and(X_669,Z)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X,and(X_669,Z)))),bind(Y0,$fot(and(X_669,and(X,Z))))]]) ).
cnf(refute_0_4220,plain,
and(X_669,and(X,Z)) = and(X,and(X_669,Z)),
inference(resolve,[$cnf( $equal(and(X,and(X_669,Z)),and(X_669,and(X,Z))) )],[refute_0_4218,refute_0_4219]) ).
cnf(refute_0_4221,plain,
and(not(carry),and(carry_def,cin)) = and(carry_def,and(not(carry),cin)),
inference(subst,[],[refute_0_4220:[bind(X,$fot(carry_def)),bind(Z,$fot(cin)),bind(X_669,$fot(not(carry)))]]) ).
cnf(refute_0_4222,plain,
( and(carry_def,and(not(carry),cin)) != and(carry_def,and(cin,not(carry)))
| and(not(carry),and(carry_def,cin)) != and(carry_def,and(not(carry),cin))
| and(not(carry),and(carry_def,cin)) = and(carry_def,and(cin,not(carry))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(carry),and(carry_def,cin)))),bind(Y0,$fot(and(carry_def,and(not(carry),cin)))),bind(Z0,$fot(and(carry_def,and(cin,not(carry)))))]]) ).
cnf(refute_0_4223,plain,
( and(carry_def,and(not(carry),cin)) != and(carry_def,and(cin,not(carry)))
| and(not(carry),and(carry_def,cin)) = and(carry_def,and(cin,not(carry))) ),
inference(resolve,[$cnf( $equal(and(not(carry),and(carry_def,cin)),and(carry_def,and(not(carry),cin))) )],[refute_0_4221,refute_0_4222]) ).
cnf(refute_0_4224,plain,
and(not(carry),and(carry_def,cin)) = and(carry_def,and(cin,not(carry))),
inference(resolve,[$cnf( $equal(and(carry_def,and(not(carry),cin)),and(carry_def,and(cin,not(carry)))) )],[refute_0_4171,refute_0_4223]) ).
cnf(refute_0_4225,plain,
or(and(X_669,X_14),and(X_14,and(X_669,X_14))) = and(X_669,X_14),
inference(subst,[],[refute_0_222:[bind(X_13,$fot(and(X_669,X_14)))]]) ).
cnf(refute_0_4226,plain,
and(X_14,and(X_669,X_14)) = and(X_14,X_669),
inference(subst,[],[refute_0_4181:[bind(Y,$fot(X_669)),bind(X_22,$fot(X_14))]]) ).
cnf(refute_0_4227,plain,
( and(X_14,and(X_669,X_14)) != and(X_14,X_669)
| or(and(X_669,X_14),and(X_14,and(X_669,X_14))) != and(X_669,X_14)
| or(and(X_669,X_14),and(X_14,X_669)) = and(X_669,X_14) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X_669,X_14),and(X_14,and(X_669,X_14))),and(X_669,X_14)) ),[0,1],$fot(and(X_14,X_669))]]) ).
cnf(refute_0_4228,plain,
( or(and(X_669,X_14),and(X_14,and(X_669,X_14))) != and(X_669,X_14)
| or(and(X_669,X_14),and(X_14,X_669)) = and(X_669,X_14) ),
inference(resolve,[$cnf( $equal(and(X_14,and(X_669,X_14)),and(X_14,X_669)) )],[refute_0_4226,refute_0_4227]) ).
cnf(refute_0_4229,plain,
or(and(X_669,X_14),and(X_14,X_669)) = and(X_669,X_14),
inference(resolve,[$cnf( $equal(or(and(X_669,X_14),and(X_14,and(X_669,X_14))),and(X_669,X_14)) )],[refute_0_4225,refute_0_4228]) ).
cnf(refute_0_4230,plain,
or(X_669,X_669) = X_669,
inference(subst,[],[or_idempotent:[bind(X,$fot(X_669))]]) ).
cnf(refute_0_4231,plain,
and(X_14,or(X_669,X_669)) = and(X_14,or(X_669,X_669)),
introduced(tautology,[refl,[$fot(and(X_14,or(X_669,X_669)))]]) ).
cnf(refute_0_4232,plain,
( and(X_14,or(X_669,X_669)) != and(X_14,or(X_669,X_669))
| or(X_669,X_669) != X_669
| and(X_14,or(X_669,X_669)) = and(X_14,X_669) ),
introduced(tautology,[equality,[$cnf( $equal(and(X_14,or(X_669,X_669)),and(X_14,or(X_669,X_669))) ),[1,1],$fot(X_669)]]) ).
cnf(refute_0_4233,plain,
( or(X_669,X_669) != X_669
| and(X_14,or(X_669,X_669)) = and(X_14,X_669) ),
inference(resolve,[$cnf( $equal(and(X_14,or(X_669,X_669)),and(X_14,or(X_669,X_669))) )],[refute_0_4231,refute_0_4232]) ).
cnf(refute_0_4234,plain,
and(X_14,or(X_669,X_669)) = and(X_14,X_669),
inference(resolve,[$cnf( $equal(or(X_669,X_669),X_669) )],[refute_0_4230,refute_0_4233]) ).
cnf(refute_0_4235,plain,
and(X_752,or(X_753,X_754)) = or(and(X_752,X_753),and(X_752,X_754)),
inference(subst,[],[or_distributive:[bind(X,$fot(X_752)),bind(Y,$fot(X_753)),bind(Z,$fot(X_754))]]) ).
cnf(refute_0_4236,plain,
and(X_753,X_752) = and(X_752,X_753),
inference(subst,[],[and_commutative:[bind(X,$fot(X_753)),bind(Y,$fot(X_752))]]) ).
cnf(refute_0_4237,plain,
( and(X_753,X_752) != and(X_752,X_753)
| and(X_752,X_753) = and(X_753,X_752) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X_753,X_752))),bind(Y0,$fot(and(X_752,X_753)))]]) ).
cnf(refute_0_4238,plain,
and(X_752,X_753) = and(X_753,X_752),
inference(resolve,[$cnf( $equal(and(X_753,X_752),and(X_752,X_753)) )],[refute_0_4236,refute_0_4237]) ).
cnf(refute_0_4239,plain,
( and(X_752,X_753) != and(X_753,X_752)
| and(X_752,or(X_753,X_754)) != or(and(X_752,X_753),and(X_752,X_754))
| and(X_752,or(X_753,X_754)) = or(and(X_753,X_752),and(X_752,X_754)) ),
introduced(tautology,[equality,[$cnf( $equal(and(X_752,or(X_753,X_754)),or(and(X_752,X_753),and(X_752,X_754))) ),[1,0],$fot(and(X_753,X_752))]]) ).
cnf(refute_0_4240,plain,
( and(X_752,or(X_753,X_754)) != or(and(X_752,X_753),and(X_752,X_754))
| and(X_752,or(X_753,X_754)) = or(and(X_753,X_752),and(X_752,X_754)) ),
inference(resolve,[$cnf( $equal(and(X_752,X_753),and(X_753,X_752)) )],[refute_0_4238,refute_0_4239]) ).
cnf(refute_0_4241,plain,
and(X_752,or(X_753,X_754)) = or(and(X_753,X_752),and(X_752,X_754)),
inference(resolve,[$cnf( $equal(and(X_752,or(X_753,X_754)),or(and(X_752,X_753),and(X_752,X_754))) )],[refute_0_4235,refute_0_4240]) ).
cnf(refute_0_4242,plain,
( and(X_752,or(X_753,X_754)) != or(and(X_753,X_752),and(X_752,X_754))
| or(and(X_753,X_752),and(X_752,X_754)) = and(X_752,or(X_753,X_754)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X_752,or(X_753,X_754)))),bind(Y0,$fot(or(and(X_753,X_752),and(X_752,X_754))))]]) ).
cnf(refute_0_4243,plain,
or(and(X_753,X_752),and(X_752,X_754)) = and(X_752,or(X_753,X_754)),
inference(resolve,[$cnf( $equal(and(X_752,or(X_753,X_754)),or(and(X_753,X_752),and(X_752,X_754))) )],[refute_0_4241,refute_0_4242]) ).
cnf(refute_0_4244,plain,
or(and(X_669,X_14),and(X_14,X_669)) = and(X_14,or(X_669,X_669)),
inference(subst,[],[refute_0_4243:[bind(X_752,$fot(X_14)),bind(X_753,$fot(X_669)),bind(X_754,$fot(X_669))]]) ).
cnf(refute_0_4245,plain,
( and(X_14,or(X_669,X_669)) != and(X_14,X_669)
| or(and(X_669,X_14),and(X_14,X_669)) != and(X_14,or(X_669,X_669))
| or(and(X_669,X_14),and(X_14,X_669)) = and(X_14,X_669) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(X_669,X_14),and(X_14,X_669)))),bind(Y0,$fot(and(X_14,or(X_669,X_669)))),bind(Z0,$fot(and(X_14,X_669)))]]) ).
cnf(refute_0_4246,plain,
( and(X_14,or(X_669,X_669)) != and(X_14,X_669)
| or(and(X_669,X_14),and(X_14,X_669)) = and(X_14,X_669) ),
inference(resolve,[$cnf( $equal(or(and(X_669,X_14),and(X_14,X_669)),and(X_14,or(X_669,X_669))) )],[refute_0_4244,refute_0_4245]) ).
cnf(refute_0_4247,plain,
or(and(X_669,X_14),and(X_14,X_669)) = and(X_14,X_669),
inference(resolve,[$cnf( $equal(and(X_14,or(X_669,X_669)),and(X_14,X_669)) )],[refute_0_4234,refute_0_4246]) ).
cnf(refute_0_4248,plain,
( or(and(X_669,X_14),and(X_14,X_669)) != and(X_14,X_669)
| or(and(X_669,X_14),and(X_14,X_669)) != and(X_669,X_14)
| and(X_14,X_669) = and(X_669,X_14) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X_669,X_14),and(X_14,X_669)),and(X_669,X_14)) ),[0],$fot(and(X_14,X_669))]]) ).
cnf(refute_0_4249,plain,
( or(and(X_669,X_14),and(X_14,X_669)) != and(X_669,X_14)
| and(X_14,X_669) = and(X_669,X_14) ),
inference(resolve,[$cnf( $equal(or(and(X_669,X_14),and(X_14,X_669)),and(X_14,X_669)) )],[refute_0_4247,refute_0_4248]) ).
cnf(refute_0_4250,plain,
and(X_14,X_669) = and(X_669,X_14),
inference(resolve,[$cnf( $equal(or(and(X_669,X_14),and(X_14,X_669)),and(X_669,X_14)) )],[refute_0_4229,refute_0_4249]) ).
cnf(refute_0_4251,plain,
( and(X_14,X_669) != and(X_669,X_14)
| and(X_669,X_14) = and(X_14,X_669) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X_14,X_669))),bind(Y0,$fot(and(X_669,X_14)))]]) ).
cnf(refute_0_4252,plain,
and(X_669,X_14) = and(X_14,X_669),
inference(resolve,[$cnf( $equal(and(X_14,X_669),and(X_669,X_14)) )],[refute_0_4250,refute_0_4251]) ).
cnf(refute_0_4253,plain,
and(and(carry_def,cin),not(carry)) = and(not(carry),and(carry_def,cin)),
inference(subst,[],[refute_0_4252:[bind(X_14,$fot(not(carry))),bind(X_669,$fot(and(carry_def,cin)))]]) ).
cnf(refute_0_4254,plain,
( and(and(carry_def,cin),not(carry)) != and(not(carry),and(carry_def,cin))
| and(not(carry),and(carry_def,cin)) != and(carry_def,and(cin,not(carry)))
| and(and(carry_def,cin),not(carry)) = and(carry_def,and(cin,not(carry))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(carry_def,cin),not(carry)))),bind(Y0,$fot(and(not(carry),and(carry_def,cin)))),bind(Z0,$fot(and(carry_def,and(cin,not(carry)))))]]) ).
cnf(refute_0_4255,plain,
( and(not(carry),and(carry_def,cin)) != and(carry_def,and(cin,not(carry)))
| and(and(carry_def,cin),not(carry)) = and(carry_def,and(cin,not(carry))) ),
inference(resolve,[$cnf( $equal(and(and(carry_def,cin),not(carry)),and(not(carry),and(carry_def,cin))) )],[refute_0_4253,refute_0_4254]) ).
cnf(refute_0_4256,plain,
and(and(carry_def,cin),not(carry)) = and(carry_def,and(cin,not(carry))),
inference(resolve,[$cnf( $equal(and(not(carry),and(carry_def,cin)),and(carry_def,and(cin,not(carry)))) )],[refute_0_4224,refute_0_4255]) ).
cnf(refute_0_4257,plain,
not(or(not(and(carry_def,cin)),carry)) = and(and(carry_def,cin),not(carry)),
inference(subst,[],[refute_0_159:[bind(X,$fot(and(carry_def,cin))),bind(X_26,$fot(carry))]]) ).
cnf(refute_0_4258,plain,
( and(and(carry_def,cin),not(carry)) != and(carry_def,and(cin,not(carry)))
| not(or(not(and(carry_def,cin)),carry)) != and(and(carry_def,cin),not(carry))
| not(or(not(and(carry_def,cin)),carry)) = and(carry_def,and(cin,not(carry))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(not(and(carry_def,cin)),carry)))),bind(Y0,$fot(and(and(carry_def,cin),not(carry)))),bind(Z0,$fot(and(carry_def,and(cin,not(carry)))))]]) ).
cnf(refute_0_4259,plain,
( and(and(carry_def,cin),not(carry)) != and(carry_def,and(cin,not(carry)))
| not(or(not(and(carry_def,cin)),carry)) = and(carry_def,and(cin,not(carry))) ),
inference(resolve,[$cnf( $equal(not(or(not(and(carry_def,cin)),carry)),and(and(carry_def,cin),not(carry))) )],[refute_0_4257,refute_0_4258]) ).
cnf(refute_0_4260,plain,
not(or(not(and(carry_def,cin)),carry)) = and(carry_def,and(cin,not(carry))),
inference(resolve,[$cnf( $equal(and(and(carry_def,cin),not(carry)),and(carry_def,and(cin,not(carry)))) )],[refute_0_4256,refute_0_4259]) ).
cnf(refute_0_4261,plain,
xor(ll1,or(not(and(carry_def,cin)),carry)) = not(or(not(and(carry_def,cin)),carry)),
inference(subst,[],[refute_0_3546:[bind(X_64,$fot(or(not(and(carry_def,cin)),carry)))]]) ).
cnf(refute_0_4262,plain,
( not(or(not(and(carry_def,cin)),carry)) != and(carry_def,and(cin,not(carry)))
| xor(ll1,or(not(and(carry_def,cin)),carry)) != not(or(not(and(carry_def,cin)),carry))
| xor(ll1,or(not(and(carry_def,cin)),carry)) = and(carry_def,and(cin,not(carry))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(ll1,or(not(and(carry_def,cin)),carry)))),bind(Y0,$fot(not(or(not(and(carry_def,cin)),carry)))),bind(Z0,$fot(and(carry_def,and(cin,not(carry)))))]]) ).
cnf(refute_0_4263,plain,
( not(or(not(and(carry_def,cin)),carry)) != and(carry_def,and(cin,not(carry)))
| xor(ll1,or(not(and(carry_def,cin)),carry)) = and(carry_def,and(cin,not(carry))) ),
inference(resolve,[$cnf( $equal(xor(ll1,or(not(and(carry_def,cin)),carry)),not(or(not(and(carry_def,cin)),carry))) )],[refute_0_4261,refute_0_4262]) ).
cnf(refute_0_4264,plain,
xor(ll1,or(not(and(carry_def,cin)),carry)) = and(carry_def,and(cin,not(carry))),
inference(resolve,[$cnf( $equal(not(or(not(and(carry_def,cin)),carry)),and(carry_def,and(cin,not(carry)))) )],[refute_0_4260,refute_0_4263]) ).
cnf(refute_0_4265,plain,
( and(carry_def,and(cin,not(carry))) != and(carry_def,not(or(a,t7)))
| xor(ll1,or(not(and(carry_def,cin)),carry)) != and(carry_def,and(cin,not(carry)))
| xor(ll1,or(not(and(carry_def,cin)),carry)) = and(carry_def,not(or(a,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(ll1,or(not(and(carry_def,cin)),carry)))),bind(Y0,$fot(and(carry_def,and(cin,not(carry))))),bind(Z0,$fot(and(carry_def,not(or(a,t7)))))]]) ).
cnf(refute_0_4266,plain,
( and(carry_def,and(cin,not(carry))) != and(carry_def,not(or(a,t7)))
| xor(ll1,or(not(and(carry_def,cin)),carry)) = and(carry_def,not(or(a,t7))) ),
inference(resolve,[$cnf( $equal(xor(ll1,or(not(and(carry_def,cin)),carry)),and(carry_def,and(cin,not(carry)))) )],[refute_0_4264,refute_0_4265]) ).
cnf(refute_0_4267,plain,
xor(ll1,or(not(and(carry_def,cin)),carry)) = and(carry_def,not(or(a,t7))),
inference(resolve,[$cnf( $equal(and(carry_def,and(cin,not(carry))),and(carry_def,not(or(a,t7)))) )],[refute_0_4170,refute_0_4266]) ).
cnf(refute_0_4268,plain,
( ll0 != xor(ll1,or(not(and(carry_def,cin)),carry))
| xor(ll1,or(not(and(carry_def,cin)),carry)) != and(carry_def,not(or(a,t7)))
| ll0 = and(carry_def,not(or(a,t7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll0,and(carry_def,not(or(a,t7)))) ),[0],$fot(xor(ll1,or(not(and(carry_def,cin)),carry)))]]) ).
cnf(refute_0_4269,plain,
( ll0 != xor(ll1,or(not(and(carry_def,cin)),carry))
| ll0 = and(carry_def,not(or(a,t7))) ),
inference(resolve,[$cnf( $equal(xor(ll1,or(not(and(carry_def,cin)),carry)),and(carry_def,not(or(a,t7)))) )],[refute_0_4267,refute_0_4268]) ).
cnf(refute_0_4270,plain,
ll0 = and(carry_def,not(or(a,t7))),
inference(resolve,[$cnf( $equal(ll0,xor(ll1,or(not(and(carry_def,cin)),carry))) )],[refute_0_4163,refute_0_4269]) ).
cnf(refute_0_4271,plain,
( ll0 != and(carry_def,not(or(a,t7)))
| and(carry_def,not(or(a,t7))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(carry_def,not(or(a,t7)))))]]) ).
cnf(refute_0_4272,plain,
and(carry_def,not(or(a,t7))) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(carry_def,not(or(a,t7)))) )],[refute_0_4270,refute_0_4271]) ).
cnf(refute_0_4273,plain,
( and(carry_def,not(or(a,t7))) != ll0
| or(and(carry_def,not(or(a,t7))),and(not(carry_def),or(a,t7))) != xor(carry_def,or(a,t7))
| or(ll0,and(not(carry_def),or(a,t7))) = xor(carry_def,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(carry_def,not(or(a,t7))),and(not(carry_def),or(a,t7))),xor(carry_def,or(a,t7))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_4274,plain,
( or(and(carry_def,not(or(a,t7))),and(not(carry_def),or(a,t7))) != xor(carry_def,or(a,t7))
| or(ll0,and(not(carry_def),or(a,t7))) = xor(carry_def,or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(carry_def,not(or(a,t7))),ll0) )],[refute_0_4272,refute_0_4273]) ).
cnf(refute_0_4275,plain,
or(ll0,and(not(carry_def),or(a,t7))) = xor(carry_def,or(a,t7)),
inference(resolve,[$cnf( $equal(or(and(carry_def,not(or(a,t7))),and(not(carry_def),or(a,t7))),xor(carry_def,or(a,t7))) )],[refute_0_153,refute_0_4274]) ).
cnf(refute_0_4276,plain,
or(ll0,and(not(carry_def),or(a,t7))) = and(not(carry_def),or(a,t7)),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(carry_def),or(a,t7))))]]) ).
cnf(refute_0_4277,plain,
( or(ll0,and(not(carry_def),or(a,t7))) != and(not(carry_def),or(a,t7))
| or(ll0,and(not(carry_def),or(a,t7))) != xor(carry_def,or(a,t7))
| and(not(carry_def),or(a,t7)) = xor(carry_def,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(carry_def),or(a,t7))),xor(carry_def,or(a,t7))) ),[0],$fot(and(not(carry_def),or(a,t7)))]]) ).
cnf(refute_0_4278,plain,
( or(ll0,and(not(carry_def),or(a,t7))) != xor(carry_def,or(a,t7))
| and(not(carry_def),or(a,t7)) = xor(carry_def,or(a,t7)) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(carry_def),or(a,t7))),and(not(carry_def),or(a,t7))) )],[refute_0_4276,refute_0_4277]) ).
cnf(refute_0_4279,plain,
and(not(carry_def),or(a,t7)) = xor(carry_def,or(a,t7)),
inference(resolve,[$cnf( $equal(or(ll0,and(not(carry_def),or(a,t7))),xor(carry_def,or(a,t7))) )],[refute_0_4275,refute_0_4278]) ).
cnf(refute_0_4280,plain,
( and(not(carry_def),or(a,t7)) != xor(carry_def,or(a,t7))
| not(and(or(a,t7),not(carry_def))) != not(and(not(carry_def),or(a,t7)))
| not(and(or(a,t7),not(carry_def))) = not(xor(carry_def,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(a,t7),not(carry_def))),not(and(not(carry_def),or(a,t7)))) ),[1,0],$fot(xor(carry_def,or(a,t7)))]]) ).
cnf(refute_0_4281,plain,
( not(and(or(a,t7),not(carry_def))) != not(and(not(carry_def),or(a,t7)))
| not(and(or(a,t7),not(carry_def))) = not(xor(carry_def,or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(not(carry_def),or(a,t7)),xor(carry_def,or(a,t7))) )],[refute_0_4279,refute_0_4280]) ).
cnf(refute_0_4282,plain,
not(and(or(a,t7),not(carry_def))) = not(xor(carry_def,or(a,t7))),
inference(resolve,[$cnf( $equal(not(and(or(a,t7),not(carry_def))),not(and(not(carry_def),or(a,t7)))) )],[refute_0_152,refute_0_4281]) ).
cnf(refute_0_4283,plain,
not(and(not(carry_def),or(a,t7))) = or(carry_def,not(or(a,t7))),
inference(subst,[],[refute_0_787:[bind(X,$fot(carry_def)),bind(X_32,$fot(or(a,t7)))]]) ).
cnf(refute_0_4284,plain,
( not(and(not(carry_def),or(a,t7))) != or(carry_def,not(or(a,t7)))
| not(and(or(a,t7),not(carry_def))) != not(and(not(carry_def),or(a,t7)))
| not(and(or(a,t7),not(carry_def))) = or(carry_def,not(or(a,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(or(a,t7),not(carry_def))))),bind(Y0,$fot(not(and(not(carry_def),or(a,t7))))),bind(Z0,$fot(or(carry_def,not(or(a,t7)))))]]) ).
cnf(refute_0_4285,plain,
( not(and(not(carry_def),or(a,t7))) != or(carry_def,not(or(a,t7)))
| not(and(or(a,t7),not(carry_def))) = or(carry_def,not(or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(and(or(a,t7),not(carry_def))),not(and(not(carry_def),or(a,t7)))) )],[refute_0_152,refute_0_4284]) ).
cnf(refute_0_4286,plain,
not(and(or(a,t7),not(carry_def))) = or(carry_def,not(or(a,t7))),
inference(resolve,[$cnf( $equal(not(and(not(carry_def),or(a,t7))),or(carry_def,not(or(a,t7)))) )],[refute_0_4283,refute_0_4285]) ).
cnf(refute_0_4287,plain,
( not(and(or(a,t7),not(carry_def))) != not(xor(carry_def,or(a,t7)))
| not(and(or(a,t7),not(carry_def))) != or(carry_def,not(or(a,t7)))
| or(carry_def,not(or(a,t7))) = not(xor(carry_def,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(a,t7),not(carry_def))),not(xor(carry_def,or(a,t7)))) ),[0],$fot(or(carry_def,not(or(a,t7))))]]) ).
cnf(refute_0_4288,plain,
( not(and(or(a,t7),not(carry_def))) != not(xor(carry_def,or(a,t7)))
| or(carry_def,not(or(a,t7))) = not(xor(carry_def,or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(and(or(a,t7),not(carry_def))),or(carry_def,not(or(a,t7)))) )],[refute_0_4286,refute_0_4287]) ).
cnf(refute_0_4289,plain,
or(carry_def,not(or(a,t7))) = not(xor(carry_def,or(a,t7))),
inference(resolve,[$cnf( $equal(not(and(or(a,t7),not(carry_def))),not(xor(carry_def,or(a,t7)))) )],[refute_0_4282,refute_0_4288]) ).
cnf(refute_0_4290,plain,
( or(carry_def,not(or(a,t7))) != not(xor(carry_def,or(a,t7)))
| or(carry_def,or(not(or(a,t7)),not(or(carry_def,not(or(a,t7)))))) != ll1
| or(carry_def,or(not(or(a,t7)),not(not(xor(carry_def,or(a,t7)))))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(carry_def,or(not(or(a,t7)),not(or(carry_def,not(or(a,t7)))))),ll1) ),[0,1,1,0],$fot(not(xor(carry_def,or(a,t7))))]]) ).
cnf(refute_0_4291,plain,
( or(carry_def,or(not(or(a,t7)),not(or(carry_def,not(or(a,t7)))))) != ll1
| or(carry_def,or(not(or(a,t7)),not(not(xor(carry_def,or(a,t7)))))) = ll1 ),
inference(resolve,[$cnf( $equal(or(carry_def,not(or(a,t7))),not(xor(carry_def,or(a,t7)))) )],[refute_0_4289,refute_0_4290]) ).
cnf(refute_0_4292,plain,
or(carry_def,or(not(or(a,t7)),not(not(xor(carry_def,or(a,t7)))))) = ll1,
inference(resolve,[$cnf( $equal(or(carry_def,or(not(or(a,t7)),not(or(carry_def,not(or(a,t7)))))),ll1) )],[refute_0_138,refute_0_4291]) ).
cnf(refute_0_4293,plain,
not(and(or(a,t7),not(xor(carry_def,or(a,t7))))) = or(not(or(a,t7)),xor(carry_def,or(a,t7))),
inference(subst,[],[refute_0_435:[bind(X_29,$fot(or(a,t7))),bind(X_30,$fot(xor(carry_def,or(a,t7))))]]) ).
cnf(refute_0_4294,plain,
or(not(or(a,t7)),not(not(xor(carry_def,or(a,t7))))) = not(and(or(a,t7),not(xor(carry_def,or(a,t7))))),
inference(subst,[],[refute_0_147:[bind(X,$fot(or(a,t7))),bind(Y,$fot(not(xor(carry_def,or(a,t7)))))]]) ).
cnf(refute_0_4295,plain,
( not(and(or(a,t7),not(xor(carry_def,or(a,t7))))) != or(not(or(a,t7)),xor(carry_def,or(a,t7)))
| or(not(or(a,t7)),not(not(xor(carry_def,or(a,t7))))) != not(and(or(a,t7),not(xor(carry_def,or(a,t7)))))
| or(not(or(a,t7)),not(not(xor(carry_def,or(a,t7))))) = or(not(or(a,t7)),xor(carry_def,or(a,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(or(a,t7)),not(not(xor(carry_def,or(a,t7))))))),bind(Y0,$fot(not(and(or(a,t7),not(xor(carry_def,or(a,t7))))))),bind(Z0,$fot(or(not(or(a,t7)),xor(carry_def,or(a,t7)))))]]) ).
cnf(refute_0_4296,plain,
( not(and(or(a,t7),not(xor(carry_def,or(a,t7))))) != or(not(or(a,t7)),xor(carry_def,or(a,t7)))
| or(not(or(a,t7)),not(not(xor(carry_def,or(a,t7))))) = or(not(or(a,t7)),xor(carry_def,or(a,t7))) ),
inference(resolve,[$cnf( $equal(or(not(or(a,t7)),not(not(xor(carry_def,or(a,t7))))),not(and(or(a,t7),not(xor(carry_def,or(a,t7)))))) )],[refute_0_4294,refute_0_4295]) ).
cnf(refute_0_4297,plain,
or(not(or(a,t7)),not(not(xor(carry_def,or(a,t7))))) = or(not(or(a,t7)),xor(carry_def,or(a,t7))),
inference(resolve,[$cnf( $equal(not(and(or(a,t7),not(xor(carry_def,or(a,t7))))),or(not(or(a,t7)),xor(carry_def,or(a,t7)))) )],[refute_0_4293,refute_0_4296]) ).
cnf(refute_0_4298,plain,
or(carry_def,or(not(or(a,t7)),not(not(xor(carry_def,or(a,t7)))))) = or(carry_def,or(not(or(a,t7)),not(not(xor(carry_def,or(a,t7)))))),
introduced(tautology,[refl,[$fot(or(carry_def,or(not(or(a,t7)),not(not(xor(carry_def,or(a,t7)))))))]]) ).
cnf(refute_0_4299,plain,
( or(carry_def,or(not(or(a,t7)),not(not(xor(carry_def,or(a,t7)))))) != or(carry_def,or(not(or(a,t7)),not(not(xor(carry_def,or(a,t7))))))
| or(not(or(a,t7)),not(not(xor(carry_def,or(a,t7))))) != or(not(or(a,t7)),xor(carry_def,or(a,t7)))
| or(carry_def,or(not(or(a,t7)),not(not(xor(carry_def,or(a,t7)))))) = or(carry_def,or(not(or(a,t7)),xor(carry_def,or(a,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry_def,or(not(or(a,t7)),not(not(xor(carry_def,or(a,t7)))))),or(carry_def,or(not(or(a,t7)),not(not(xor(carry_def,or(a,t7))))))) ),[1,1],$fot(or(not(or(a,t7)),xor(carry_def,or(a,t7))))]]) ).
cnf(refute_0_4300,plain,
( or(not(or(a,t7)),not(not(xor(carry_def,or(a,t7))))) != or(not(or(a,t7)),xor(carry_def,or(a,t7)))
| or(carry_def,or(not(or(a,t7)),not(not(xor(carry_def,or(a,t7)))))) = or(carry_def,or(not(or(a,t7)),xor(carry_def,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(or(carry_def,or(not(or(a,t7)),not(not(xor(carry_def,or(a,t7)))))),or(carry_def,or(not(or(a,t7)),not(not(xor(carry_def,or(a,t7))))))) )],[refute_0_4298,refute_0_4299]) ).
cnf(refute_0_4301,plain,
or(carry_def,or(not(or(a,t7)),not(not(xor(carry_def,or(a,t7)))))) = or(carry_def,or(not(or(a,t7)),xor(carry_def,or(a,t7)))),
inference(resolve,[$cnf( $equal(or(not(or(a,t7)),not(not(xor(carry_def,or(a,t7))))),or(not(or(a,t7)),xor(carry_def,or(a,t7)))) )],[refute_0_4297,refute_0_4300]) ).
cnf(refute_0_4302,plain,
( or(carry_def,or(not(or(a,t7)),not(not(xor(carry_def,or(a,t7)))))) != ll1
| or(carry_def,or(not(or(a,t7)),not(not(xor(carry_def,or(a,t7)))))) != or(carry_def,or(not(or(a,t7)),xor(carry_def,or(a,t7))))
| or(carry_def,or(not(or(a,t7)),xor(carry_def,or(a,t7)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(carry_def,or(not(or(a,t7)),not(not(xor(carry_def,or(a,t7)))))),ll1) ),[0],$fot(or(carry_def,or(not(or(a,t7)),xor(carry_def,or(a,t7)))))]]) ).
cnf(refute_0_4303,plain,
( or(carry_def,or(not(or(a,t7)),not(not(xor(carry_def,or(a,t7)))))) != ll1
| or(carry_def,or(not(or(a,t7)),xor(carry_def,or(a,t7)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(carry_def,or(not(or(a,t7)),not(not(xor(carry_def,or(a,t7)))))),or(carry_def,or(not(or(a,t7)),xor(carry_def,or(a,t7))))) )],[refute_0_4301,refute_0_4302]) ).
cnf(refute_0_4304,plain,
or(carry_def,or(not(or(a,t7)),xor(carry_def,or(a,t7)))) = ll1,
inference(resolve,[$cnf( $equal(or(carry_def,or(not(or(a,t7)),not(not(xor(carry_def,or(a,t7)))))),ll1) )],[refute_0_4292,refute_0_4303]) ).
cnf(refute_0_4305,plain,
or(carry,and(carry,not(t5))) = carry,
inference(subst,[],[or_absorption:[bind(X,$fot(carry)),bind(Y,$fot(not(t5)))]]) ).
cnf(refute_0_4306,plain,
not(or(not(carry),t5)) = not(or(t5,not(carry))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(t5)),bind(X_26,$fot(not(carry)))]]) ).
cnf(refute_0_4307,plain,
or(t5,and(t1,t5)) = t5,
inference(subst,[],[refute_0_222:[bind(X_13,$fot(t5)),bind(X_14,$fot(t1))]]) ).
cnf(refute_0_4308,plain,
( and(t1,t5) != not(carry)
| or(t5,and(t1,t5)) != t5
| or(t5,not(carry)) = t5 ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,and(t1,t5)),t5) ),[0,1],$fot(not(carry))]]) ).
cnf(refute_0_4309,plain,
( or(t5,and(t1,t5)) != t5
| or(t5,not(carry)) = t5 ),
inference(resolve,[$cnf( $equal(and(t1,t5),not(carry)) )],[refute_0_175,refute_0_4308]) ).
cnf(refute_0_4310,plain,
or(t5,not(carry)) = t5,
inference(resolve,[$cnf( $equal(or(t5,and(t1,t5)),t5) )],[refute_0_4307,refute_0_4309]) ).
cnf(refute_0_4311,plain,
( not(or(not(carry),t5)) != not(or(t5,not(carry)))
| or(t5,not(carry)) != t5
| not(or(not(carry),t5)) = not(t5) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(carry),t5)),not(or(t5,not(carry)))) ),[1,0],$fot(t5)]]) ).
cnf(refute_0_4312,plain,
( not(or(not(carry),t5)) != not(or(t5,not(carry)))
| not(or(not(carry),t5)) = not(t5) ),
inference(resolve,[$cnf( $equal(or(t5,not(carry)),t5) )],[refute_0_4310,refute_0_4311]) ).
cnf(refute_0_4313,plain,
not(or(not(carry),t5)) = not(t5),
inference(resolve,[$cnf( $equal(not(or(not(carry),t5)),not(or(t5,not(carry)))) )],[refute_0_4306,refute_0_4312]) ).
cnf(refute_0_4314,plain,
not(or(not(carry),t5)) = and(carry,not(t5)),
inference(subst,[],[refute_0_159:[bind(X,$fot(carry)),bind(X_26,$fot(t5))]]) ).
cnf(refute_0_4315,plain,
( not(or(not(carry),t5)) != and(carry,not(t5))
| not(or(not(carry),t5)) != not(t5)
| and(carry,not(t5)) = not(t5) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(carry),t5)),not(t5)) ),[0],$fot(and(carry,not(t5)))]]) ).
cnf(refute_0_4316,plain,
( not(or(not(carry),t5)) != not(t5)
| and(carry,not(t5)) = not(t5) ),
inference(resolve,[$cnf( $equal(not(or(not(carry),t5)),and(carry,not(t5))) )],[refute_0_4314,refute_0_4315]) ).
cnf(refute_0_4317,plain,
and(carry,not(t5)) = not(t5),
inference(resolve,[$cnf( $equal(not(or(not(carry),t5)),not(t5)) )],[refute_0_4313,refute_0_4316]) ).
cnf(refute_0_4318,plain,
( and(carry,not(t5)) != not(t5)
| or(carry,and(carry,not(t5))) != carry
| or(carry,not(t5)) = carry ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,and(carry,not(t5))),carry) ),[0,1],$fot(not(t5))]]) ).
cnf(refute_0_4319,plain,
( or(carry,and(carry,not(t5))) != carry
| or(carry,not(t5)) = carry ),
inference(resolve,[$cnf( $equal(and(carry,not(t5)),not(t5)) )],[refute_0_4317,refute_0_4318]) ).
cnf(refute_0_4320,plain,
or(carry,not(t5)) = carry,
inference(resolve,[$cnf( $equal(or(carry,and(carry,not(t5))),carry) )],[refute_0_4305,refute_0_4319]) ).
cnf(refute_0_4321,plain,
or(carry,and(cin,t7)) = or(carry,and(cin,t7)),
introduced(tautology,[refl,[$fot(or(carry,and(cin,t7)))]]) ).
cnf(refute_0_4322,plain,
( and(cin,t7) != not(t5)
| or(carry,and(cin,t7)) != or(carry,and(cin,t7))
| or(carry,and(cin,t7)) = or(carry,not(t5)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,and(cin,t7)),or(carry,and(cin,t7))) ),[1,1],$fot(not(t5))]]) ).
cnf(refute_0_4323,plain,
( and(cin,t7) != not(t5)
| or(carry,and(cin,t7)) = or(carry,not(t5)) ),
inference(resolve,[$cnf( $equal(or(carry,and(cin,t7)),or(carry,and(cin,t7))) )],[refute_0_4321,refute_0_4322]) ).
cnf(refute_0_4324,plain,
or(carry,and(cin,t7)) = or(carry,not(t5)),
inference(resolve,[$cnf( $equal(and(cin,t7),not(t5)) )],[refute_0_4111,refute_0_4323]) ).
cnf(refute_0_4325,plain,
( or(carry,and(cin,t7)) != or(carry,not(t5))
| or(carry,not(t5)) != carry
| or(carry,and(cin,t7)) = carry ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(carry,and(cin,t7)))),bind(Y0,$fot(or(carry,not(t5)))),bind(Z0,$fot(carry))]]) ).
cnf(refute_0_4326,plain,
( or(carry,not(t5)) != carry
| or(carry,and(cin,t7)) = carry ),
inference(resolve,[$cnf( $equal(or(carry,and(cin,t7)),or(carry,not(t5))) )],[refute_0_4324,refute_0_4325]) ).
cnf(refute_0_4327,plain,
or(carry,and(cin,t7)) = carry,
inference(resolve,[$cnf( $equal(or(carry,not(t5)),carry) )],[refute_0_4320,refute_0_4326]) ).
cnf(refute_0_4328,plain,
and(or(X_818,X_820),or(X_818,X_819)) = and(or(X_818,X_819),or(X_818,X_820)),
inference(subst,[],[and_commutative:[bind(X,$fot(or(X_818,X_820))),bind(Y,$fot(or(X_818,X_819)))]]) ).
cnf(refute_0_4329,plain,
or(X_818,and(X_819,X_820)) = and(or(X_818,X_819),or(X_818,X_820)),
inference(subst,[],[and_distributive:[bind(X,$fot(X_818)),bind(Y,$fot(X_819)),bind(Z,$fot(X_820))]]) ).
cnf(refute_0_4330,plain,
( or(X_818,and(X_819,X_820)) != and(or(X_818,X_819),or(X_818,X_820))
| and(or(X_818,X_819),or(X_818,X_820)) = or(X_818,and(X_819,X_820)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(X_818,and(X_819,X_820)))),bind(Y0,$fot(and(or(X_818,X_819),or(X_818,X_820))))]]) ).
cnf(refute_0_4331,plain,
and(or(X_818,X_819),or(X_818,X_820)) = or(X_818,and(X_819,X_820)),
inference(resolve,[$cnf( $equal(or(X_818,and(X_819,X_820)),and(or(X_818,X_819),or(X_818,X_820))) )],[refute_0_4329,refute_0_4330]) ).
cnf(refute_0_4332,plain,
( and(or(X_818,X_819),or(X_818,X_820)) != or(X_818,and(X_819,X_820))
| and(or(X_818,X_820),or(X_818,X_819)) != and(or(X_818,X_819),or(X_818,X_820))
| and(or(X_818,X_820),or(X_818,X_819)) = or(X_818,and(X_819,X_820)) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(X_818,X_820),or(X_818,X_819)),and(or(X_818,X_819),or(X_818,X_820))) ),[1],$fot(or(X_818,and(X_819,X_820)))]]) ).
cnf(refute_0_4333,plain,
( and(or(X_818,X_820),or(X_818,X_819)) != and(or(X_818,X_819),or(X_818,X_820))
| and(or(X_818,X_820),or(X_818,X_819)) = or(X_818,and(X_819,X_820)) ),
inference(resolve,[$cnf( $equal(and(or(X_818,X_819),or(X_818,X_820)),or(X_818,and(X_819,X_820))) )],[refute_0_4331,refute_0_4332]) ).
cnf(refute_0_4334,plain,
and(or(X_818,X_820),or(X_818,X_819)) = or(X_818,and(X_819,X_820)),
inference(resolve,[$cnf( $equal(and(or(X_818,X_820),or(X_818,X_819)),and(or(X_818,X_819),or(X_818,X_820))) )],[refute_0_4328,refute_0_4333]) ).
cnf(refute_0_4335,plain,
( or(X,and(Y,Z)) != and(or(X,Y),or(X,Z))
| and(or(X,Y),or(X,Z)) = or(X,and(Y,Z)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(X,and(Y,Z)))),bind(Y0,$fot(and(or(X,Y),or(X,Z))))]]) ).
cnf(refute_0_4336,plain,
and(or(X,Y),or(X,Z)) = or(X,and(Y,Z)),
inference(resolve,[$cnf( $equal(or(X,and(Y,Z)),and(or(X,Y),or(X,Z))) )],[and_distributive,refute_0_4335]) ).
cnf(refute_0_4337,plain,
and(or(X_818,X_820),or(X_818,X_819)) = or(X_818,and(X_820,X_819)),
inference(subst,[],[refute_0_4336:[bind(X,$fot(X_818)),bind(Y,$fot(X_820)),bind(Z,$fot(X_819))]]) ).
cnf(refute_0_4338,plain,
( and(or(X_818,X_820),or(X_818,X_819)) != or(X_818,and(X_819,X_820))
| and(or(X_818,X_820),or(X_818,X_819)) != or(X_818,and(X_820,X_819))
| or(X_818,and(X_820,X_819)) = or(X_818,and(X_819,X_820)) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(X_818,X_820),or(X_818,X_819)),or(X_818,and(X_819,X_820))) ),[0],$fot(or(X_818,and(X_820,X_819)))]]) ).
cnf(refute_0_4339,plain,
( and(or(X_818,X_820),or(X_818,X_819)) != or(X_818,and(X_819,X_820))
| or(X_818,and(X_820,X_819)) = or(X_818,and(X_819,X_820)) ),
inference(resolve,[$cnf( $equal(and(or(X_818,X_820),or(X_818,X_819)),or(X_818,and(X_820,X_819))) )],[refute_0_4337,refute_0_4338]) ).
cnf(refute_0_4340,plain,
or(X_818,and(X_820,X_819)) = or(X_818,and(X_819,X_820)),
inference(resolve,[$cnf( $equal(and(or(X_818,X_820),or(X_818,X_819)),or(X_818,and(X_819,X_820))) )],[refute_0_4334,refute_0_4339]) ).
cnf(refute_0_4341,plain,
( or(X_818,and(X_820,X_819)) != or(X_818,and(X_819,X_820))
| or(X_818,and(X_819,X_820)) = or(X_818,and(X_820,X_819)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(X_818,and(X_820,X_819)))),bind(Y0,$fot(or(X_818,and(X_819,X_820))))]]) ).
cnf(refute_0_4342,plain,
or(X_818,and(X_819,X_820)) = or(X_818,and(X_820,X_819)),
inference(resolve,[$cnf( $equal(or(X_818,and(X_820,X_819)),or(X_818,and(X_819,X_820))) )],[refute_0_4340,refute_0_4341]) ).
cnf(refute_0_4343,plain,
or(carry,and(t7,cin)) = or(carry,and(cin,t7)),
inference(subst,[],[refute_0_4342:[bind(X_818,$fot(carry)),bind(X_819,$fot(t7)),bind(X_820,$fot(cin))]]) ).
cnf(refute_0_4344,plain,
or(carry,and(X_819,not(cin))) = and(or(carry,X_819),or(carry,not(cin))),
inference(subst,[],[and_distributive:[bind(X,$fot(carry)),bind(Y,$fot(X_819)),bind(Z,$fot(not(cin)))]]) ).
cnf(refute_0_4345,plain,
not(and(not(carry),cin)) = not(and(cin,not(carry))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(cin)),bind(X_32,$fot(not(carry)))]]) ).
cnf(refute_0_4346,plain,
( and(cin,not(carry)) != not(or(carry,t7))
| not(and(not(carry),cin)) != not(and(cin,not(carry)))
| not(and(not(carry),cin)) = not(not(or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(carry),cin)),not(and(cin,not(carry)))) ),[1,0],$fot(not(or(carry,t7)))]]) ).
cnf(refute_0_4347,plain,
( not(and(not(carry),cin)) != not(and(cin,not(carry)))
| not(and(not(carry),cin)) = not(not(or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(cin,not(carry)),not(or(carry,t7))) )],[refute_0_246,refute_0_4346]) ).
cnf(refute_0_4348,plain,
not(and(not(carry),cin)) = not(not(or(carry,t7))),
inference(resolve,[$cnf( $equal(not(and(not(carry),cin)),not(and(cin,not(carry)))) )],[refute_0_4345,refute_0_4347]) ).
cnf(refute_0_4349,plain,
not(and(not(carry),cin)) = or(carry,not(cin)),
inference(subst,[],[refute_0_787:[bind(X,$fot(carry)),bind(X_32,$fot(cin))]]) ).
cnf(refute_0_4350,plain,
( not(and(not(carry),cin)) != not(not(or(carry,t7)))
| not(and(not(carry),cin)) != or(carry,not(cin))
| or(carry,not(cin)) = not(not(or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(carry),cin)),not(not(or(carry,t7)))) ),[0],$fot(or(carry,not(cin)))]]) ).
cnf(refute_0_4351,plain,
( not(and(not(carry),cin)) != not(not(or(carry,t7)))
| or(carry,not(cin)) = not(not(or(carry,t7))) ),
inference(resolve,[$cnf( $equal(not(and(not(carry),cin)),or(carry,not(cin))) )],[refute_0_4349,refute_0_4350]) ).
cnf(refute_0_4352,plain,
( not(not(or(carry,t7))) != or(carry,t7)
| or(carry,not(cin)) != not(not(or(carry,t7)))
| or(carry,not(cin)) = or(carry,t7) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(cin)),not(not(or(carry,t7)))) ),[1],$fot(or(carry,t7))]]) ).
cnf(refute_0_4353,plain,
( or(carry,not(cin)) != not(not(or(carry,t7)))
| or(carry,not(cin)) = or(carry,t7) ),
inference(resolve,[$cnf( $equal(not(not(or(carry,t7))),or(carry,t7)) )],[refute_0_2729,refute_0_4352]) ).
cnf(refute_0_4354,plain,
( not(and(not(carry),cin)) != not(not(or(carry,t7)))
| or(carry,not(cin)) = or(carry,t7) ),
inference(resolve,[$cnf( $equal(or(carry,not(cin)),not(not(or(carry,t7)))) )],[refute_0_4351,refute_0_4353]) ).
cnf(refute_0_4355,plain,
or(carry,not(cin)) = or(carry,t7),
inference(resolve,[$cnf( $equal(not(and(not(carry),cin)),not(not(or(carry,t7)))) )],[refute_0_4348,refute_0_4354]) ).
cnf(refute_0_4356,plain,
( or(carry,not(cin)) != or(carry,t7)
| or(carry,t7) != or(a,t7)
| or(carry,not(cin)) = or(a,t7) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(carry,not(cin)),or(a,t7)) ),[0],$fot(or(carry,t7))]]) ).
cnf(refute_0_4357,plain,
( or(carry,not(cin)) != or(carry,t7)
| or(carry,not(cin)) = or(a,t7) ),
inference(resolve,[$cnf( $equal(or(carry,t7),or(a,t7)) )],[refute_0_2743,refute_0_4356]) ).
cnf(refute_0_4358,plain,
or(carry,not(cin)) = or(a,t7),
inference(resolve,[$cnf( $equal(or(carry,not(cin)),or(carry,t7)) )],[refute_0_4355,refute_0_4357]) ).
cnf(refute_0_4359,plain,
( or(carry,and(X_819,not(cin))) != and(or(carry,X_819),or(carry,not(cin)))
| or(carry,not(cin)) != or(a,t7)
| or(carry,and(X_819,not(cin))) = and(or(carry,X_819),or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,and(X_819,not(cin))),and(or(carry,X_819),or(carry,not(cin)))) ),[1,1],$fot(or(a,t7))]]) ).
cnf(refute_0_4360,plain,
( or(carry,and(X_819,not(cin))) != and(or(carry,X_819),or(carry,not(cin)))
| or(carry,and(X_819,not(cin))) = and(or(carry,X_819),or(a,t7)) ),
inference(resolve,[$cnf( $equal(or(carry,not(cin)),or(a,t7)) )],[refute_0_4358,refute_0_4359]) ).
cnf(refute_0_4361,plain,
or(carry,and(X_819,not(cin))) = and(or(carry,X_819),or(a,t7)),
inference(resolve,[$cnf( $equal(or(carry,and(X_819,not(cin))),and(or(carry,X_819),or(carry,not(cin)))) )],[refute_0_4344,refute_0_4360]) ).
cnf(refute_0_4362,plain,
and(or(carry,X_819),or(a,t7)) = and(or(a,t7),or(carry,X_819)),
inference(subst,[],[refute_0_4252:[bind(X_14,$fot(or(a,t7))),bind(X_669,$fot(or(carry,X_819)))]]) ).
cnf(refute_0_4363,plain,
( and(or(carry,X_819),or(a,t7)) != and(or(a,t7),or(carry,X_819))
| or(carry,and(X_819,not(cin))) != and(or(carry,X_819),or(a,t7))
| or(carry,and(X_819,not(cin))) = and(or(a,t7),or(carry,X_819)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,and(X_819,not(cin))),and(or(carry,X_819),or(a,t7))) ),[1],$fot(and(or(a,t7),or(carry,X_819)))]]) ).
cnf(refute_0_4364,plain,
( or(carry,and(X_819,not(cin))) != and(or(carry,X_819),or(a,t7))
| or(carry,and(X_819,not(cin))) = and(or(a,t7),or(carry,X_819)) ),
inference(resolve,[$cnf( $equal(and(or(carry,X_819),or(a,t7)),and(or(a,t7),or(carry,X_819))) )],[refute_0_4362,refute_0_4363]) ).
cnf(refute_0_4365,plain,
or(carry,and(X_819,not(cin))) = and(or(a,t7),or(carry,X_819)),
inference(resolve,[$cnf( $equal(or(carry,and(X_819,not(cin))),and(or(carry,X_819),or(a,t7))) )],[refute_0_4361,refute_0_4364]) ).
cnf(refute_0_4366,plain,
or(carry,and(t5,X_820)) = and(or(carry,t5),or(carry,X_820)),
inference(subst,[],[and_distributive:[bind(X,$fot(carry)),bind(Y,$fot(t5)),bind(Z,$fot(X_820))]]) ).
cnf(refute_0_4367,plain,
or(or(t5,not(carry)),X_39) = or(t5,or(not(carry),X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(t5)),bind(Y,$fot(not(carry))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_4368,plain,
( or(or(t5,not(carry)),X_39) != or(t5,or(not(carry),X_39))
| or(t5,not(carry)) != t5
| or(t5,X_39) = or(t5,or(not(carry),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t5,not(carry)),X_39),or(t5,or(not(carry),X_39))) ),[0,0],$fot(t5)]]) ).
cnf(refute_0_4369,plain,
( or(or(t5,not(carry)),X_39) != or(t5,or(not(carry),X_39))
| or(t5,X_39) = or(t5,or(not(carry),X_39)) ),
inference(resolve,[$cnf( $equal(or(t5,not(carry)),t5) )],[refute_0_4310,refute_0_4368]) ).
cnf(refute_0_4370,plain,
or(t5,X_39) = or(t5,or(not(carry),X_39)),
inference(resolve,[$cnf( $equal(or(or(t5,not(carry)),X_39),or(t5,or(not(carry),X_39))) )],[refute_0_4367,refute_0_4369]) ).
cnf(refute_0_4371,plain,
or(t5,not(not(carry))) = or(t5,or(not(carry),not(not(carry)))),
inference(subst,[],[refute_0_4370:[bind(X_39,$fot(not(not(carry))))]]) ).
cnf(refute_0_4372,plain,
or(not(carry),not(not(carry))) = ll1,
inference(subst,[],[or_complement:[bind(X,$fot(not(carry)))]]) ).
cnf(refute_0_4373,plain,
( or(not(carry),not(not(carry))) != ll1
| or(t5,not(not(carry))) != or(t5,or(not(carry),not(not(carry))))
| or(t5,not(not(carry))) = or(t5,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,not(not(carry))),or(t5,or(not(carry),not(not(carry))))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_4374,plain,
( or(t5,not(not(carry))) != or(t5,or(not(carry),not(not(carry))))
| or(t5,not(not(carry))) = or(t5,ll1) ),
inference(resolve,[$cnf( $equal(or(not(carry),not(not(carry))),ll1) )],[refute_0_4372,refute_0_4373]) ).
cnf(refute_0_4375,plain,
or(t5,not(not(carry))) = or(t5,ll1),
inference(resolve,[$cnf( $equal(or(t5,not(not(carry))),or(t5,or(not(carry),not(not(carry))))) )],[refute_0_4371,refute_0_4374]) ).
cnf(refute_0_4376,plain,
or(t5,carry) = or(carry,t5),
inference(subst,[],[refute_0_5:[bind(X,$fot(carry)),bind(Y,$fot(t5))]]) ).
cnf(refute_0_4377,plain,
or(t5,not(not(carry))) = or(t5,not(not(carry))),
introduced(tautology,[refl,[$fot(or(t5,not(not(carry))))]]) ).
cnf(refute_0_4378,plain,
( not(not(carry)) != carry
| or(t5,not(not(carry))) != or(t5,not(not(carry)))
| or(t5,not(not(carry))) = or(t5,carry) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,not(not(carry))),or(t5,not(not(carry)))) ),[1,1],$fot(carry)]]) ).
cnf(refute_0_4379,plain,
( not(not(carry)) != carry
| or(t5,not(not(carry))) = or(t5,carry) ),
inference(resolve,[$cnf( $equal(or(t5,not(not(carry))),or(t5,not(not(carry)))) )],[refute_0_4377,refute_0_4378]) ).
cnf(refute_0_4380,plain,
or(t5,not(not(carry))) = or(t5,carry),
inference(resolve,[$cnf( $equal(not(not(carry)),carry) )],[refute_0_1308,refute_0_4379]) ).
cnf(refute_0_4381,plain,
( or(t5,carry) != or(carry,t5)
| or(t5,not(not(carry))) != or(t5,carry)
| or(t5,not(not(carry))) = or(carry,t5) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t5,not(not(carry))))),bind(Y0,$fot(or(t5,carry))),bind(Z0,$fot(or(carry,t5)))]]) ).
cnf(refute_0_4382,plain,
( or(t5,carry) != or(carry,t5)
| or(t5,not(not(carry))) = or(carry,t5) ),
inference(resolve,[$cnf( $equal(or(t5,not(not(carry))),or(t5,carry)) )],[refute_0_4380,refute_0_4381]) ).
cnf(refute_0_4383,plain,
or(t5,not(not(carry))) = or(carry,t5),
inference(resolve,[$cnf( $equal(or(t5,carry),or(carry,t5)) )],[refute_0_4376,refute_0_4382]) ).
cnf(refute_0_4384,plain,
( or(t5,not(not(carry))) != or(carry,t5)
| or(t5,not(not(carry))) != or(t5,ll1)
| or(carry,t5) = or(t5,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,not(not(carry))),or(t5,ll1)) ),[0],$fot(or(carry,t5))]]) ).
cnf(refute_0_4385,plain,
( or(t5,not(not(carry))) != or(t5,ll1)
| or(carry,t5) = or(t5,ll1) ),
inference(resolve,[$cnf( $equal(or(t5,not(not(carry))),or(carry,t5)) )],[refute_0_4383,refute_0_4384]) ).
cnf(refute_0_4386,plain,
or(t5,ll1) = ll1,
inference(subst,[],[or_boundedness:[bind(X,$fot(t5))]]) ).
cnf(refute_0_4387,plain,
( or(carry,t5) != or(t5,ll1)
| or(t5,ll1) != ll1
| or(carry,t5) = ll1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(carry,t5),ll1) ),[0],$fot(or(t5,ll1))]]) ).
cnf(refute_0_4388,plain,
( or(carry,t5) != or(t5,ll1)
| or(carry,t5) = ll1 ),
inference(resolve,[$cnf( $equal(or(t5,ll1),ll1) )],[refute_0_4386,refute_0_4387]) ).
cnf(refute_0_4389,plain,
( or(t5,not(not(carry))) != or(t5,ll1)
| or(carry,t5) = ll1 ),
inference(resolve,[$cnf( $equal(or(carry,t5),or(t5,ll1)) )],[refute_0_4385,refute_0_4388]) ).
cnf(refute_0_4390,plain,
or(carry,t5) = ll1,
inference(resolve,[$cnf( $equal(or(t5,not(not(carry))),or(t5,ll1)) )],[refute_0_4375,refute_0_4389]) ).
cnf(refute_0_4391,plain,
( or(carry,and(t5,X_820)) != and(or(carry,t5),or(carry,X_820))
| or(carry,t5) != ll1
| or(carry,and(t5,X_820)) = and(ll1,or(carry,X_820)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,and(t5,X_820)),and(or(carry,t5),or(carry,X_820))) ),[1,0],$fot(ll1)]]) ).
cnf(refute_0_4392,plain,
( or(carry,and(t5,X_820)) != and(or(carry,t5),or(carry,X_820))
| or(carry,and(t5,X_820)) = and(ll1,or(carry,X_820)) ),
inference(resolve,[$cnf( $equal(or(carry,t5),ll1) )],[refute_0_4390,refute_0_4391]) ).
cnf(refute_0_4393,plain,
or(carry,and(t5,X_820)) = and(ll1,or(carry,X_820)),
inference(resolve,[$cnf( $equal(or(carry,and(t5,X_820)),and(or(carry,t5),or(carry,X_820))) )],[refute_0_4366,refute_0_4392]) ).
cnf(refute_0_4394,plain,
and(ll1,or(carry,X_820)) = or(carry,X_820),
inference(subst,[],[refute_0_64:[bind(X,$fot(or(carry,X_820)))]]) ).
cnf(refute_0_4395,plain,
( and(ll1,or(carry,X_820)) != or(carry,X_820)
| or(carry,and(t5,X_820)) != and(ll1,or(carry,X_820))
| or(carry,and(t5,X_820)) = or(carry,X_820) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,and(t5,X_820)),and(ll1,or(carry,X_820))) ),[1],$fot(or(carry,X_820))]]) ).
cnf(refute_0_4396,plain,
( or(carry,and(t5,X_820)) != and(ll1,or(carry,X_820))
| or(carry,and(t5,X_820)) = or(carry,X_820) ),
inference(resolve,[$cnf( $equal(and(ll1,or(carry,X_820)),or(carry,X_820)) )],[refute_0_4394,refute_0_4395]) ).
cnf(refute_0_4397,plain,
or(carry,and(t5,X_820)) = or(carry,X_820),
inference(resolve,[$cnf( $equal(or(carry,and(t5,X_820)),and(ll1,or(carry,X_820))) )],[refute_0_4393,refute_0_4396]) ).
cnf(refute_0_4398,plain,
or(carry,and(t5,and(X_301,not(cin)))) = or(carry,and(X_301,not(cin))),
inference(subst,[],[refute_0_4397:[bind(X_820,$fot(and(X_301,not(cin))))]]) ).
cnf(refute_0_4399,plain,
and(and(t5,not(cin)),X_222) = and(t5,and(not(cin),X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(t5)),bind(Y,$fot(not(cin))),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_4400,plain,
( and(and(t5,not(cin)),X_222) != and(t5,and(not(cin),X_222))
| and(t5,not(cin)) != not(cin)
| and(not(cin),X_222) = and(t5,and(not(cin),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t5,not(cin)),X_222),and(t5,and(not(cin),X_222))) ),[0,0],$fot(not(cin))]]) ).
cnf(refute_0_4401,plain,
( and(and(t5,not(cin)),X_222) != and(t5,and(not(cin),X_222))
| and(not(cin),X_222) = and(t5,and(not(cin),X_222)) ),
inference(resolve,[$cnf( $equal(and(t5,not(cin)),not(cin)) )],[refute_0_2289,refute_0_4400]) ).
cnf(refute_0_4402,plain,
and(not(cin),X_222) = and(t5,and(not(cin),X_222)),
inference(resolve,[$cnf( $equal(and(and(t5,not(cin)),X_222),and(t5,and(not(cin),X_222))) )],[refute_0_4399,refute_0_4401]) ).
cnf(refute_0_4403,plain,
and(not(cin),X_301) = and(t5,and(not(cin),X_301)),
inference(subst,[],[refute_0_4402:[bind(X_222,$fot(X_301))]]) ).
cnf(refute_0_4404,plain,
and(X_301,not(cin)) = and(not(cin),X_301),
inference(subst,[],[and_commutative:[bind(X,$fot(X_301)),bind(Y,$fot(not(cin)))]]) ).
cnf(refute_0_4405,plain,
( and(X_301,not(cin)) != and(not(cin),X_301)
| and(not(cin),X_301) = and(X_301,not(cin)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X_301,not(cin)))),bind(Y0,$fot(and(not(cin),X_301)))]]) ).
cnf(refute_0_4406,plain,
and(not(cin),X_301) = and(X_301,not(cin)),
inference(resolve,[$cnf( $equal(and(X_301,not(cin)),and(not(cin),X_301)) )],[refute_0_4404,refute_0_4405]) ).
cnf(refute_0_4407,plain,
( and(not(cin),X_301) != and(X_301,not(cin))
| and(not(cin),X_301) != and(t5,and(not(cin),X_301))
| and(not(cin),X_301) = and(t5,and(X_301,not(cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(cin),X_301),and(t5,and(not(cin),X_301))) ),[1,1],$fot(and(X_301,not(cin)))]]) ).
cnf(refute_0_4408,plain,
( and(not(cin),X_301) != and(t5,and(not(cin),X_301))
| and(not(cin),X_301) = and(t5,and(X_301,not(cin))) ),
inference(resolve,[$cnf( $equal(and(not(cin),X_301),and(X_301,not(cin))) )],[refute_0_4406,refute_0_4407]) ).
cnf(refute_0_4409,plain,
and(not(cin),X_301) = and(t5,and(X_301,not(cin))),
inference(resolve,[$cnf( $equal(and(not(cin),X_301),and(t5,and(not(cin),X_301))) )],[refute_0_4403,refute_0_4408]) ).
cnf(refute_0_4410,plain,
( and(not(cin),X_301) != and(t5,and(X_301,not(cin)))
| and(t5,and(X_301,not(cin))) = and(not(cin),X_301) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(cin),X_301))),bind(Y0,$fot(and(t5,and(X_301,not(cin)))))]]) ).
cnf(refute_0_4411,plain,
and(t5,and(X_301,not(cin))) = and(not(cin),X_301),
inference(resolve,[$cnf( $equal(and(not(cin),X_301),and(t5,and(X_301,not(cin)))) )],[refute_0_4409,refute_0_4410]) ).
cnf(refute_0_4412,plain,
( and(t5,and(X_301,not(cin))) != and(not(cin),X_301)
| or(carry,and(t5,and(X_301,not(cin)))) != or(carry,and(X_301,not(cin)))
| or(carry,and(not(cin),X_301)) = or(carry,and(X_301,not(cin))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,and(t5,and(X_301,not(cin)))),or(carry,and(X_301,not(cin)))) ),[0,1],$fot(and(not(cin),X_301))]]) ).
cnf(refute_0_4413,plain,
( or(carry,and(t5,and(X_301,not(cin)))) != or(carry,and(X_301,not(cin)))
| or(carry,and(not(cin),X_301)) = or(carry,and(X_301,not(cin))) ),
inference(resolve,[$cnf( $equal(and(t5,and(X_301,not(cin))),and(not(cin),X_301)) )],[refute_0_4411,refute_0_4412]) ).
cnf(refute_0_4414,plain,
or(carry,and(not(cin),X_301)) = or(carry,and(X_301,not(cin))),
inference(resolve,[$cnf( $equal(or(carry,and(t5,and(X_301,not(cin)))),or(carry,and(X_301,not(cin)))) )],[refute_0_4398,refute_0_4413]) ).
cnf(refute_0_4415,plain,
or(carry,and(t5,and(t7,Z))) = or(carry,and(t7,Z)),
inference(subst,[],[refute_0_4397:[bind(X_820,$fot(and(t7,Z)))]]) ).
cnf(refute_0_4416,plain,
and(and(t5,t7),Z) = and(t5,and(t7,Z)),
inference(subst,[],[and_associative:[bind(X,$fot(t5)),bind(Y,$fot(t7))]]) ).
cnf(refute_0_4417,plain,
( and(and(t5,t7),Z) != and(t5,and(t7,Z))
| and(t5,t7) != not(cin)
| and(not(cin),Z) = and(t5,and(t7,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t5,t7),Z),and(t5,and(t7,Z))) ),[0,0],$fot(not(cin))]]) ).
cnf(refute_0_4418,plain,
( and(and(t5,t7),Z) != and(t5,and(t7,Z))
| and(not(cin),Z) = and(t5,and(t7,Z)) ),
inference(resolve,[$cnf( $equal(and(t5,t7),not(cin)) )],[refute_0_4015,refute_0_4417]) ).
cnf(refute_0_4419,plain,
and(not(cin),Z) = and(t5,and(t7,Z)),
inference(resolve,[$cnf( $equal(and(and(t5,t7),Z),and(t5,and(t7,Z))) )],[refute_0_4416,refute_0_4418]) ).
cnf(refute_0_4420,plain,
( and(not(cin),Z) != and(t5,and(t7,Z))
| and(t5,and(t7,Z)) = and(not(cin),Z) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(cin),Z))),bind(Y0,$fot(and(t5,and(t7,Z))))]]) ).
cnf(refute_0_4421,plain,
and(t5,and(t7,Z)) = and(not(cin),Z),
inference(resolve,[$cnf( $equal(and(not(cin),Z),and(t5,and(t7,Z))) )],[refute_0_4419,refute_0_4420]) ).
cnf(refute_0_4422,plain,
( and(t5,and(t7,Z)) != and(not(cin),Z)
| or(carry,and(t5,and(t7,Z))) != or(carry,and(t7,Z))
| or(carry,and(not(cin),Z)) = or(carry,and(t7,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,and(t5,and(t7,Z))),or(carry,and(t7,Z))) ),[0,1],$fot(and(not(cin),Z))]]) ).
cnf(refute_0_4423,plain,
( or(carry,and(t5,and(t7,Z))) != or(carry,and(t7,Z))
| or(carry,and(not(cin),Z)) = or(carry,and(t7,Z)) ),
inference(resolve,[$cnf( $equal(and(t5,and(t7,Z)),and(not(cin),Z)) )],[refute_0_4421,refute_0_4422]) ).
cnf(refute_0_4424,plain,
or(carry,and(not(cin),Z)) = or(carry,and(t7,Z)),
inference(resolve,[$cnf( $equal(or(carry,and(t5,and(t7,Z))),or(carry,and(t7,Z))) )],[refute_0_4415,refute_0_4423]) ).
cnf(refute_0_4425,plain,
or(carry,and(not(cin),X_301)) = or(carry,and(t7,X_301)),
inference(subst,[],[refute_0_4424:[bind(Z,$fot(X_301))]]) ).
cnf(refute_0_4426,plain,
( or(carry,and(not(cin),X_301)) != or(carry,and(X_301,not(cin)))
| or(carry,and(not(cin),X_301)) != or(carry,and(t7,X_301))
| or(carry,and(t7,X_301)) = or(carry,and(X_301,not(cin))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,and(not(cin),X_301)),or(carry,and(X_301,not(cin)))) ),[0],$fot(or(carry,and(t7,X_301)))]]) ).
cnf(refute_0_4427,plain,
( or(carry,and(not(cin),X_301)) != or(carry,and(X_301,not(cin)))
| or(carry,and(t7,X_301)) = or(carry,and(X_301,not(cin))) ),
inference(resolve,[$cnf( $equal(or(carry,and(not(cin),X_301)),or(carry,and(t7,X_301))) )],[refute_0_4425,refute_0_4426]) ).
cnf(refute_0_4428,plain,
or(carry,and(t7,X_301)) = or(carry,and(X_301,not(cin))),
inference(resolve,[$cnf( $equal(or(carry,and(not(cin),X_301)),or(carry,and(X_301,not(cin)))) )],[refute_0_4414,refute_0_4427]) ).
cnf(refute_0_4429,plain,
( or(carry,and(t7,X_301)) != or(carry,and(X_301,not(cin)))
| or(carry,and(X_301,not(cin))) = or(carry,and(t7,X_301)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(carry,and(t7,X_301)))),bind(Y0,$fot(or(carry,and(X_301,not(cin)))))]]) ).
cnf(refute_0_4430,plain,
or(carry,and(X_301,not(cin))) = or(carry,and(t7,X_301)),
inference(resolve,[$cnf( $equal(or(carry,and(t7,X_301)),or(carry,and(X_301,not(cin)))) )],[refute_0_4428,refute_0_4429]) ).
cnf(refute_0_4431,plain,
or(carry,and(X_819,not(cin))) = or(carry,and(t7,X_819)),
inference(subst,[],[refute_0_4430:[bind(X_301,$fot(X_819))]]) ).
cnf(refute_0_4432,plain,
( or(carry,and(X_819,not(cin))) != and(or(a,t7),or(carry,X_819))
| or(carry,and(X_819,not(cin))) != or(carry,and(t7,X_819))
| or(carry,and(t7,X_819)) = and(or(a,t7),or(carry,X_819)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,and(X_819,not(cin))),and(or(a,t7),or(carry,X_819))) ),[0],$fot(or(carry,and(t7,X_819)))]]) ).
cnf(refute_0_4433,plain,
( or(carry,and(X_819,not(cin))) != and(or(a,t7),or(carry,X_819))
| or(carry,and(t7,X_819)) = and(or(a,t7),or(carry,X_819)) ),
inference(resolve,[$cnf( $equal(or(carry,and(X_819,not(cin))),or(carry,and(t7,X_819))) )],[refute_0_4431,refute_0_4432]) ).
cnf(refute_0_4434,plain,
or(carry,and(t7,X_819)) = and(or(a,t7),or(carry,X_819)),
inference(resolve,[$cnf( $equal(or(carry,and(X_819,not(cin))),and(or(a,t7),or(carry,X_819))) )],[refute_0_4365,refute_0_4433]) ).
cnf(refute_0_4435,plain,
( or(carry,and(t7,X_819)) != and(or(a,t7),or(carry,X_819))
| and(or(a,t7),or(carry,X_819)) = or(carry,and(t7,X_819)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(carry,and(t7,X_819)))),bind(Y0,$fot(and(or(a,t7),or(carry,X_819))))]]) ).
cnf(refute_0_4436,plain,
and(or(a,t7),or(carry,X_819)) = or(carry,and(t7,X_819)),
inference(resolve,[$cnf( $equal(or(carry,and(t7,X_819)),and(or(a,t7),or(carry,X_819))) )],[refute_0_4434,refute_0_4435]) ).
cnf(refute_0_4437,plain,
and(or(a,t7),or(carry,cin)) = or(carry,and(t7,cin)),
inference(subst,[],[refute_0_4436:[bind(X_819,$fot(cin))]]) ).
cnf(refute_0_4438,plain,
( and(or(a,t7),or(carry,cin)) != or(carry,and(t7,cin))
| or(carry,and(t7,cin)) != or(carry,and(cin,t7))
| and(or(a,t7),or(carry,cin)) = or(carry,and(cin,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(or(a,t7),or(carry,cin)))),bind(Y0,$fot(or(carry,and(t7,cin)))),bind(Z0,$fot(or(carry,and(cin,t7))))]]) ).
cnf(refute_0_4439,plain,
( or(carry,and(t7,cin)) != or(carry,and(cin,t7))
| and(or(a,t7),or(carry,cin)) = or(carry,and(cin,t7)) ),
inference(resolve,[$cnf( $equal(and(or(a,t7),or(carry,cin)),or(carry,and(t7,cin))) )],[refute_0_4437,refute_0_4438]) ).
cnf(refute_0_4440,plain,
and(or(a,t7),or(carry,cin)) = or(carry,and(cin,t7)),
inference(resolve,[$cnf( $equal(or(carry,and(t7,cin)),or(carry,and(cin,t7))) )],[refute_0_4343,refute_0_4439]) ).
cnf(refute_0_4441,plain,
( and(or(a,t7),or(carry,cin)) != or(carry,and(cin,t7))
| or(carry,and(cin,t7)) != carry
| and(or(a,t7),or(carry,cin)) = carry ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(or(a,t7),or(carry,cin)))),bind(Y0,$fot(or(carry,and(cin,t7)))),bind(Z0,$fot(carry))]]) ).
cnf(refute_0_4442,plain,
( or(carry,and(cin,t7)) != carry
| and(or(a,t7),or(carry,cin)) = carry ),
inference(resolve,[$cnf( $equal(and(or(a,t7),or(carry,cin)),or(carry,and(cin,t7))) )],[refute_0_4440,refute_0_4441]) ).
cnf(refute_0_4443,plain,
and(or(a,t7),or(carry,cin)) = carry,
inference(resolve,[$cnf( $equal(or(carry,and(cin,t7)),carry) )],[refute_0_4327,refute_0_4442]) ).
cnf(refute_0_4444,plain,
not(and(or(a,t7),or(carry,cin))) = not(and(or(a,t7),or(carry,cin))),
introduced(tautology,[refl,[$fot(not(and(or(a,t7),or(carry,cin))))]]) ).
cnf(refute_0_4445,plain,
( and(or(a,t7),or(carry,cin)) != carry
| not(and(or(a,t7),or(carry,cin))) != not(and(or(a,t7),or(carry,cin)))
| not(and(or(a,t7),or(carry,cin))) = not(carry) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(a,t7),or(carry,cin))),not(and(or(a,t7),or(carry,cin)))) ),[1,0],$fot(carry)]]) ).
cnf(refute_0_4446,plain,
( and(or(a,t7),or(carry,cin)) != carry
| not(and(or(a,t7),or(carry,cin))) = not(carry) ),
inference(resolve,[$cnf( $equal(not(and(or(a,t7),or(carry,cin))),not(and(or(a,t7),or(carry,cin)))) )],[refute_0_4444,refute_0_4445]) ).
cnf(refute_0_4447,plain,
not(and(or(a,t7),or(carry,cin))) = not(carry),
inference(resolve,[$cnf( $equal(and(or(a,t7),or(carry,cin)),carry) )],[refute_0_4443,refute_0_4446]) ).
cnf(refute_0_4448,plain,
or(not(or(a,t7)),not(or(carry,cin))) = not(and(or(a,t7),or(carry,cin))),
inference(subst,[],[refute_0_147:[bind(X,$fot(or(a,t7))),bind(Y,$fot(or(carry,cin)))]]) ).
cnf(refute_0_4449,plain,
( not(and(or(a,t7),or(carry,cin))) != not(carry)
| or(not(or(a,t7)),not(or(carry,cin))) != not(and(or(a,t7),or(carry,cin)))
| or(not(or(a,t7)),not(or(carry,cin))) = not(carry) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(or(a,t7)),not(or(carry,cin))))),bind(Y0,$fot(not(and(or(a,t7),or(carry,cin))))),bind(Z0,$fot(not(carry)))]]) ).
cnf(refute_0_4450,plain,
( not(and(or(a,t7),or(carry,cin))) != not(carry)
| or(not(or(a,t7)),not(or(carry,cin))) = not(carry) ),
inference(resolve,[$cnf( $equal(or(not(or(a,t7)),not(or(carry,cin))),not(and(or(a,t7),or(carry,cin)))) )],[refute_0_4448,refute_0_4449]) ).
cnf(refute_0_4451,plain,
or(not(or(a,t7)),not(or(carry,cin))) = not(carry),
inference(resolve,[$cnf( $equal(not(and(or(a,t7),or(carry,cin))),not(carry)) )],[refute_0_4447,refute_0_4450]) ).
cnf(refute_0_4452,plain,
not(xor(and(sum,t1),or(a,b))) = xor(and(sum,t1),not(or(a,b))),
inference(subst,[],[refute_0_1137:[bind(X_333,$fot(and(sum,t1))),bind(X_334,$fot(or(a,b)))]]) ).
cnf(refute_0_4453,plain,
xor(a,xor(xor(t3,t7),Z)) = xor(xor(a,xor(t3,t7)),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(a)),bind(Y,$fot(xor(t3,t7)))]]) ).
cnf(refute_0_4454,plain,
xor(t4,xor(or(sum,t4),Z)) = xor(xor(t4,or(sum,t4)),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(t4)),bind(Y,$fot(or(sum,t4)))]]) ).
cnf(refute_0_4455,plain,
and(not(t4),not(xor(t4,t7))) = and(t2,and(t3,not(xor(t4,t7)))),
inference(subst,[],[refute_0_611:[bind(X_222,$fot(not(xor(t4,t7))))]]) ).
cnf(refute_0_4456,plain,
( and(not(t4),not(xor(t4,t7))) != and(t2,and(t3,not(xor(t4,t7))))
| and(t3,not(xor(t4,t7))) != xor(t3,xor(t4,t7))
| and(not(t4),not(xor(t4,t7))) = and(t2,xor(t3,xor(t4,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),not(xor(t4,t7))),and(t2,and(t3,not(xor(t4,t7))))) ),[1,1],$fot(xor(t3,xor(t4,t7)))]]) ).
cnf(refute_0_4457,plain,
( and(not(t4),not(xor(t4,t7))) != and(t2,and(t3,not(xor(t4,t7))))
| and(not(t4),not(xor(t4,t7))) = and(t2,xor(t3,xor(t4,t7))) ),
inference(resolve,[$cnf( $equal(and(t3,not(xor(t4,t7))),xor(t3,xor(t4,t7))) )],[refute_0_829,refute_0_4456]) ).
cnf(refute_0_4458,plain,
and(not(t4),not(xor(t4,t7))) = and(t2,xor(t3,xor(t4,t7))),
inference(resolve,[$cnf( $equal(and(not(t4),not(xor(t4,t7))),and(t2,and(t3,not(xor(t4,t7))))) )],[refute_0_4455,refute_0_4457]) ).
cnf(refute_0_4459,plain,
and(not(t4),not(xor(t4,t7))) = not(or(t4,xor(t4,t7))),
inference(subst,[],[refute_0_101:[bind(X,$fot(t4)),bind(Y,$fot(xor(t4,t7)))]]) ).
cnf(refute_0_4460,plain,
( and(not(t4),not(xor(t4,t7))) != and(t2,xor(t3,xor(t4,t7)))
| and(not(t4),not(xor(t4,t7))) != not(or(t4,xor(t4,t7)))
| not(or(t4,xor(t4,t7))) = and(t2,xor(t3,xor(t4,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),not(xor(t4,t7))),and(t2,xor(t3,xor(t4,t7)))) ),[0],$fot(not(or(t4,xor(t4,t7))))]]) ).
cnf(refute_0_4461,plain,
( and(not(t4),not(xor(t4,t7))) != and(t2,xor(t3,xor(t4,t7)))
| not(or(t4,xor(t4,t7))) = and(t2,xor(t3,xor(t4,t7))) ),
inference(resolve,[$cnf( $equal(and(not(t4),not(xor(t4,t7))),not(or(t4,xor(t4,t7)))) )],[refute_0_4459,refute_0_4460]) ).
cnf(refute_0_4462,plain,
not(or(t4,xor(t4,t7))) = and(t2,xor(t3,xor(t4,t7))),
inference(resolve,[$cnf( $equal(and(not(t4),not(xor(t4,t7))),and(t2,xor(t3,xor(t4,t7)))) )],[refute_0_4458,refute_0_4461]) ).
cnf(refute_0_4463,plain,
not(or(t4,xor(t4,t7))) = not(or(t4,xor(t4,t7))),
introduced(tautology,[refl,[$fot(not(or(t4,xor(t4,t7))))]]) ).
cnf(refute_0_4464,plain,
( not(or(t4,xor(t4,t7))) != not(or(t4,xor(t4,t7)))
| or(t4,xor(t4,t7)) != t7
| not(or(t4,xor(t4,t7))) = not(t7) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t4,xor(t4,t7))),not(or(t4,xor(t4,t7)))) ),[1,0],$fot(t7)]]) ).
cnf(refute_0_4465,plain,
( or(t4,xor(t4,t7)) != t7
| not(or(t4,xor(t4,t7))) = not(t7) ),
inference(resolve,[$cnf( $equal(not(or(t4,xor(t4,t7))),not(or(t4,xor(t4,t7)))) )],[refute_0_4463,refute_0_4464]) ).
cnf(refute_0_4466,plain,
not(or(t4,xor(t4,t7))) = not(t7),
inference(resolve,[$cnf( $equal(or(t4,xor(t4,t7)),t7) )],[refute_0_2575,refute_0_4465]) ).
cnf(refute_0_4467,plain,
( not(or(t4,xor(t4,t7))) != and(t2,xor(t3,xor(t4,t7)))
| not(or(t4,xor(t4,t7))) != not(t7)
| not(t7) = and(t2,xor(t3,xor(t4,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t4,xor(t4,t7))),and(t2,xor(t3,xor(t4,t7)))) ),[0],$fot(not(t7))]]) ).
cnf(refute_0_4468,plain,
( not(or(t4,xor(t4,t7))) != and(t2,xor(t3,xor(t4,t7)))
| not(t7) = and(t2,xor(t3,xor(t4,t7))) ),
inference(resolve,[$cnf( $equal(not(or(t4,xor(t4,t7))),not(t7)) )],[refute_0_4466,refute_0_4467]) ).
cnf(refute_0_4469,plain,
not(t7) = and(t2,xor(t3,xor(t4,t7))),
inference(resolve,[$cnf( $equal(not(or(t4,xor(t4,t7))),and(t2,xor(t3,xor(t4,t7)))) )],[refute_0_4462,refute_0_4468]) ).
cnf(refute_0_4470,plain,
or(and(t4,not(or(X_274,t4))),and(not(t4),or(X_274,t4))) = xor(t4,or(X_274,t4)),
inference(subst,[],[refute_0_9:[bind(X,$fot(t4)),bind(Y,$fot(or(X_274,t4)))]]) ).
cnf(refute_0_4471,plain,
ll0 = and(t4,not(or(X_274,t4))),
inference(subst,[],[refute_0_1544:[bind(X,$fot(X_274))]]) ).
cnf(refute_0_4472,plain,
( ll0 != and(t4,not(or(X_274,t4)))
| and(t4,not(or(X_274,t4))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(t4,not(or(X_274,t4)))))]]) ).
cnf(refute_0_4473,plain,
and(t4,not(or(X_274,t4))) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(t4,not(or(X_274,t4)))) )],[refute_0_4471,refute_0_4472]) ).
cnf(refute_0_4474,plain,
( and(t4,not(or(X_274,t4))) != ll0
| or(and(t4,not(or(X_274,t4))),and(not(t4),or(X_274,t4))) != xor(t4,or(X_274,t4))
| or(ll0,and(not(t4),or(X_274,t4))) = xor(t4,or(X_274,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,not(or(X_274,t4))),and(not(t4),or(X_274,t4))),xor(t4,or(X_274,t4))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_4475,plain,
( or(and(t4,not(or(X_274,t4))),and(not(t4),or(X_274,t4))) != xor(t4,or(X_274,t4))
| or(ll0,and(not(t4),or(X_274,t4))) = xor(t4,or(X_274,t4)) ),
inference(resolve,[$cnf( $equal(and(t4,not(or(X_274,t4))),ll0) )],[refute_0_4473,refute_0_4474]) ).
cnf(refute_0_4476,plain,
or(ll0,and(not(t4),or(X_274,t4))) = xor(t4,or(X_274,t4)),
inference(resolve,[$cnf( $equal(or(and(t4,not(or(X_274,t4))),and(not(t4),or(X_274,t4))),xor(t4,or(X_274,t4))) )],[refute_0_4470,refute_0_4475]) ).
cnf(refute_0_4477,plain,
or(ll0,and(not(t4),or(X_274,t4))) = and(not(t4),or(X_274,t4)),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(t4),or(X_274,t4))))]]) ).
cnf(refute_0_4478,plain,
( or(ll0,and(not(t4),or(X_274,t4))) != and(not(t4),or(X_274,t4))
| or(ll0,and(not(t4),or(X_274,t4))) != xor(t4,or(X_274,t4))
| and(not(t4),or(X_274,t4)) = xor(t4,or(X_274,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(t4),or(X_274,t4))),xor(t4,or(X_274,t4))) ),[0],$fot(and(not(t4),or(X_274,t4)))]]) ).
cnf(refute_0_4479,plain,
( or(ll0,and(not(t4),or(X_274,t4))) != xor(t4,or(X_274,t4))
| and(not(t4),or(X_274,t4)) = xor(t4,or(X_274,t4)) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t4),or(X_274,t4))),and(not(t4),or(X_274,t4))) )],[refute_0_4477,refute_0_4478]) ).
cnf(refute_0_4480,plain,
and(not(t4),or(X_274,t4)) = xor(t4,or(X_274,t4)),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t4),or(X_274,t4))),xor(t4,or(X_274,t4))) )],[refute_0_4476,refute_0_4479]) ).
cnf(refute_0_4481,plain,
and(not(t4),or(sum,t4)) = xor(t4,or(sum,t4)),
inference(subst,[],[refute_0_4480:[bind(X_274,$fot(sum))]]) ).
cnf(refute_0_4482,plain,
and(t2,and(t3,or(sum,t4))) = and(not(t4),or(sum,t4)),
inference(subst,[],[refute_0_883:[bind(X_222,$fot(or(sum,t4)))]]) ).
cnf(refute_0_4483,plain,
( and(not(t4),or(sum,t4)) != xor(t4,or(sum,t4))
| and(t2,and(t3,or(sum,t4))) != and(not(t4),or(sum,t4))
| and(t2,and(t3,or(sum,t4))) = xor(t4,or(sum,t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t2,and(t3,or(sum,t4))))),bind(Y0,$fot(and(not(t4),or(sum,t4)))),bind(Z0,$fot(xor(t4,or(sum,t4))))]]) ).
cnf(refute_0_4484,plain,
( and(not(t4),or(sum,t4)) != xor(t4,or(sum,t4))
| and(t2,and(t3,or(sum,t4))) = xor(t4,or(sum,t4)) ),
inference(resolve,[$cnf( $equal(and(t2,and(t3,or(sum,t4))),and(not(t4),or(sum,t4))) )],[refute_0_4482,refute_0_4483]) ).
cnf(refute_0_4485,plain,
and(t2,and(t3,or(sum,t4))) = xor(t4,or(sum,t4)),
inference(resolve,[$cnf( $equal(and(not(t4),or(sum,t4)),xor(t4,or(sum,t4))) )],[refute_0_4481,refute_0_4484]) ).
cnf(refute_0_4486,plain,
( and(t3,or(sum,t4)) != xor(t3,xor(t4,t7))
| xor(t3,xor(t4,t7)) = and(t3,or(sum,t4)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t3,or(sum,t4)))),bind(Y0,$fot(xor(t3,xor(t4,t7))))]]) ).
cnf(refute_0_4487,plain,
xor(t3,xor(t4,t7)) = and(t3,or(sum,t4)),
inference(resolve,[$cnf( $equal(and(t3,or(sum,t4)),xor(t3,xor(t4,t7))) )],[refute_0_1180,refute_0_4486]) ).
cnf(refute_0_4488,plain,
and(t2,xor(t3,xor(t4,t7))) = and(t2,xor(t3,xor(t4,t7))),
introduced(tautology,[refl,[$fot(and(t2,xor(t3,xor(t4,t7))))]]) ).
cnf(refute_0_4489,plain,
( and(t2,xor(t3,xor(t4,t7))) != and(t2,xor(t3,xor(t4,t7)))
| xor(t3,xor(t4,t7)) != and(t3,or(sum,t4))
| and(t2,xor(t3,xor(t4,t7))) = and(t2,and(t3,or(sum,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,xor(t3,xor(t4,t7))),and(t2,xor(t3,xor(t4,t7)))) ),[1,1],$fot(and(t3,or(sum,t4)))]]) ).
cnf(refute_0_4490,plain,
( xor(t3,xor(t4,t7)) != and(t3,or(sum,t4))
| and(t2,xor(t3,xor(t4,t7))) = and(t2,and(t3,or(sum,t4))) ),
inference(resolve,[$cnf( $equal(and(t2,xor(t3,xor(t4,t7))),and(t2,xor(t3,xor(t4,t7)))) )],[refute_0_4488,refute_0_4489]) ).
cnf(refute_0_4491,plain,
and(t2,xor(t3,xor(t4,t7))) = and(t2,and(t3,or(sum,t4))),
inference(resolve,[$cnf( $equal(xor(t3,xor(t4,t7)),and(t3,or(sum,t4))) )],[refute_0_4487,refute_0_4490]) ).
cnf(refute_0_4492,plain,
( and(t2,and(t3,or(sum,t4))) != xor(t4,or(sum,t4))
| and(t2,xor(t3,xor(t4,t7))) != and(t2,and(t3,or(sum,t4)))
| and(t2,xor(t3,xor(t4,t7))) = xor(t4,or(sum,t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t2,xor(t3,xor(t4,t7))))),bind(Y0,$fot(and(t2,and(t3,or(sum,t4))))),bind(Z0,$fot(xor(t4,or(sum,t4))))]]) ).
cnf(refute_0_4493,plain,
( and(t2,and(t3,or(sum,t4))) != xor(t4,or(sum,t4))
| and(t2,xor(t3,xor(t4,t7))) = xor(t4,or(sum,t4)) ),
inference(resolve,[$cnf( $equal(and(t2,xor(t3,xor(t4,t7))),and(t2,and(t3,or(sum,t4)))) )],[refute_0_4491,refute_0_4492]) ).
cnf(refute_0_4494,plain,
and(t2,xor(t3,xor(t4,t7))) = xor(t4,or(sum,t4)),
inference(resolve,[$cnf( $equal(and(t2,and(t3,or(sum,t4))),xor(t4,or(sum,t4))) )],[refute_0_4485,refute_0_4493]) ).
cnf(refute_0_4495,plain,
( and(t2,xor(t3,xor(t4,t7))) != xor(t4,or(sum,t4))
| not(t7) != and(t2,xor(t3,xor(t4,t7)))
| not(t7) = xor(t4,or(sum,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(t7),and(t2,xor(t3,xor(t4,t7)))) ),[1],$fot(xor(t4,or(sum,t4)))]]) ).
cnf(refute_0_4496,plain,
( not(t7) != and(t2,xor(t3,xor(t4,t7)))
| not(t7) = xor(t4,or(sum,t4)) ),
inference(resolve,[$cnf( $equal(and(t2,xor(t3,xor(t4,t7))),xor(t4,or(sum,t4))) )],[refute_0_4494,refute_0_4495]) ).
cnf(refute_0_4497,plain,
not(t7) = xor(t4,or(sum,t4)),
inference(resolve,[$cnf( $equal(not(t7),and(t2,xor(t3,xor(t4,t7)))) )],[refute_0_4469,refute_0_4496]) ).
cnf(refute_0_4498,plain,
( not(t7) != xor(t4,or(sum,t4))
| xor(t4,or(sum,t4)) = not(t7) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t7))),bind(Y0,$fot(xor(t4,or(sum,t4))))]]) ).
cnf(refute_0_4499,plain,
xor(t4,or(sum,t4)) = not(t7),
inference(resolve,[$cnf( $equal(not(t7),xor(t4,or(sum,t4))) )],[refute_0_4497,refute_0_4498]) ).
cnf(refute_0_4500,plain,
( xor(t4,or(sum,t4)) != not(t7)
| xor(t4,xor(or(sum,t4),Z)) != xor(xor(t4,or(sum,t4)),Z)
| xor(t4,xor(or(sum,t4),Z)) = xor(not(t7),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,xor(or(sum,t4),Z)),xor(xor(t4,or(sum,t4)),Z)) ),[1,0],$fot(not(t7))]]) ).
cnf(refute_0_4501,plain,
( xor(t4,xor(or(sum,t4),Z)) != xor(xor(t4,or(sum,t4)),Z)
| xor(t4,xor(or(sum,t4),Z)) = xor(not(t7),Z) ),
inference(resolve,[$cnf( $equal(xor(t4,or(sum,t4)),not(t7)) )],[refute_0_4499,refute_0_4500]) ).
cnf(refute_0_4502,plain,
xor(t4,xor(or(sum,t4),Z)) = xor(not(t7),Z),
inference(resolve,[$cnf( $equal(xor(t4,xor(or(sum,t4),Z)),xor(xor(t4,or(sum,t4)),Z)) )],[refute_0_4454,refute_0_4501]) ).
cnf(refute_0_4503,plain,
xor(not(t7),Z) = not(xor(t7,Z)),
inference(subst,[],[refute_0_2075:[bind(Y,$fot(Z)),bind(X_63,$fot(t7))]]) ).
cnf(refute_0_4504,plain,
( xor(not(t7),Z) != not(xor(t7,Z))
| xor(t4,xor(or(sum,t4),Z)) != xor(not(t7),Z)
| xor(t4,xor(or(sum,t4),Z)) = not(xor(t7,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,xor(or(sum,t4),Z)),xor(not(t7),Z)) ),[1],$fot(not(xor(t7,Z)))]]) ).
cnf(refute_0_4505,plain,
( xor(t4,xor(or(sum,t4),Z)) != xor(not(t7),Z)
| xor(t4,xor(or(sum,t4),Z)) = not(xor(t7,Z)) ),
inference(resolve,[$cnf( $equal(xor(not(t7),Z),not(xor(t7,Z))) )],[refute_0_4503,refute_0_4504]) ).
cnf(refute_0_4506,plain,
xor(t4,xor(or(sum,t4),Z)) = not(xor(t7,Z)),
inference(resolve,[$cnf( $equal(xor(t4,xor(or(sum,t4),Z)),xor(not(t7),Z)) )],[refute_0_4502,refute_0_4505]) ).
cnf(refute_0_4507,plain,
xor(t4,xor(or(sum,t4),or(a,t4))) = not(xor(t7,or(a,t4))),
inference(subst,[],[refute_0_4506:[bind(Z,$fot(or(a,t4)))]]) ).
cnf(refute_0_4508,plain,
xor(cin,xor(t5,or(a,t4))) = xor(t7,or(a,t4)),
inference(subst,[],[refute_0_2486:[bind(X_335,$fot(or(a,t4)))]]) ).
cnf(refute_0_4509,plain,
xor(t6,xor(not(t5),X_335)) = xor(xor(t6,not(t5)),X_335),
inference(subst,[],[xor_associative:[bind(X,$fot(t6)),bind(Y,$fot(not(t5))),bind(Z,$fot(X_335))]]) ).
cnf(refute_0_4510,plain,
and(t6,not(and(cin,not(t5)))) = xor(t6,and(cin,not(t5))),
inference(subst,[],[refute_0_1092:[bind(X_55,$fot(not(t5)))]]) ).
cnf(refute_0_4511,plain,
( and(cin,not(t5)) != not(t5)
| and(t6,not(and(cin,not(t5)))) != xor(t6,and(cin,not(t5)))
| and(t6,not(not(t5))) = xor(t6,and(cin,not(t5))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(and(cin,not(t5)))),xor(t6,and(cin,not(t5)))) ),[0,1,0],$fot(not(t5))]]) ).
cnf(refute_0_4512,plain,
( and(t6,not(and(cin,not(t5)))) != xor(t6,and(cin,not(t5)))
| and(t6,not(not(t5))) = xor(t6,and(cin,not(t5))) ),
inference(resolve,[$cnf( $equal(and(cin,not(t5)),not(t5)) )],[refute_0_2460,refute_0_4511]) ).
cnf(refute_0_4513,plain,
and(t6,not(not(t5))) = xor(t6,and(cin,not(t5))),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,not(t5)))),xor(t6,and(cin,not(t5)))) )],[refute_0_4510,refute_0_4512]) ).
cnf(refute_0_4514,plain,
and(t6,t5) = and(t5,t6),
inference(subst,[],[refute_0_116:[bind(X,$fot(t5)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_4515,plain,
and(t6,not(not(t5))) = and(t6,not(not(t5))),
introduced(tautology,[refl,[$fot(and(t6,not(not(t5))))]]) ).
cnf(refute_0_4516,plain,
( and(t6,not(not(t5))) != and(t6,not(not(t5)))
| not(not(t5)) != t5
| and(t6,not(not(t5))) = and(t6,t5) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(not(t5))),and(t6,not(not(t5)))) ),[1,1],$fot(t5)]]) ).
cnf(refute_0_4517,plain,
( not(not(t5)) != t5
| and(t6,not(not(t5))) = and(t6,t5) ),
inference(resolve,[$cnf( $equal(and(t6,not(not(t5))),and(t6,not(not(t5)))) )],[refute_0_4515,refute_0_4516]) ).
cnf(refute_0_4518,plain,
and(t6,not(not(t5))) = and(t6,t5),
inference(resolve,[$cnf( $equal(not(not(t5)),t5) )],[refute_0_4051,refute_0_4517]) ).
cnf(refute_0_4519,plain,
( and(t6,not(not(t5))) != and(t6,t5)
| and(t6,t5) != and(t5,t6)
| and(t6,not(not(t5))) = and(t5,t6) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t6,not(not(t5))))),bind(Y0,$fot(and(t6,t5))),bind(Z0,$fot(and(t5,t6)))]]) ).
cnf(refute_0_4520,plain,
( and(t6,t5) != and(t5,t6)
| and(t6,not(not(t5))) = and(t5,t6) ),
inference(resolve,[$cnf( $equal(and(t6,not(not(t5))),and(t6,t5)) )],[refute_0_4518,refute_0_4519]) ).
cnf(refute_0_4521,plain,
and(t6,not(not(t5))) = and(t5,t6),
inference(resolve,[$cnf( $equal(and(t6,t5),and(t5,t6)) )],[refute_0_4514,refute_0_4520]) ).
cnf(refute_0_4522,plain,
( and(t6,not(not(t5))) != and(t5,t6)
| and(t6,not(not(t5))) != xor(t6,and(cin,not(t5)))
| and(t5,t6) = xor(t6,and(cin,not(t5))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(not(t5))),xor(t6,and(cin,not(t5)))) ),[0],$fot(and(t5,t6))]]) ).
cnf(refute_0_4523,plain,
( and(t6,not(not(t5))) != xor(t6,and(cin,not(t5)))
| and(t5,t6) = xor(t6,and(cin,not(t5))) ),
inference(resolve,[$cnf( $equal(and(t6,not(not(t5))),and(t5,t6)) )],[refute_0_4521,refute_0_4522]) ).
cnf(refute_0_4524,plain,
xor(t6,and(cin,not(t5))) = xor(t6,and(cin,not(t5))),
introduced(tautology,[refl,[$fot(xor(t6,and(cin,not(t5))))]]) ).
cnf(refute_0_4525,plain,
( and(cin,not(t5)) != not(t5)
| xor(t6,and(cin,not(t5))) != xor(t6,and(cin,not(t5)))
| xor(t6,and(cin,not(t5))) = xor(t6,not(t5)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,and(cin,not(t5))),xor(t6,and(cin,not(t5)))) ),[1,1],$fot(not(t5))]]) ).
cnf(refute_0_4526,plain,
( and(cin,not(t5)) != not(t5)
| xor(t6,and(cin,not(t5))) = xor(t6,not(t5)) ),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,not(t5))),xor(t6,and(cin,not(t5)))) )],[refute_0_4524,refute_0_4525]) ).
cnf(refute_0_4527,plain,
xor(t6,and(cin,not(t5))) = xor(t6,not(t5)),
inference(resolve,[$cnf( $equal(and(cin,not(t5)),not(t5)) )],[refute_0_2460,refute_0_4526]) ).
cnf(refute_0_4528,plain,
( and(t5,t6) != xor(t6,and(cin,not(t5)))
| xor(t6,and(cin,not(t5))) != xor(t6,not(t5))
| and(t5,t6) = xor(t6,not(t5)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t5,t6),xor(t6,not(t5))) ),[0],$fot(xor(t6,and(cin,not(t5))))]]) ).
cnf(refute_0_4529,plain,
( and(t5,t6) != xor(t6,and(cin,not(t5)))
| and(t5,t6) = xor(t6,not(t5)) ),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,not(t5))),xor(t6,not(t5))) )],[refute_0_4527,refute_0_4528]) ).
cnf(refute_0_4530,plain,
( and(t6,not(not(t5))) != xor(t6,and(cin,not(t5)))
| and(t5,t6) = xor(t6,not(t5)) ),
inference(resolve,[$cnf( $equal(and(t5,t6),xor(t6,and(cin,not(t5)))) )],[refute_0_4523,refute_0_4529]) ).
cnf(refute_0_4531,plain,
and(t5,t6) = xor(t6,not(t5)),
inference(resolve,[$cnf( $equal(and(t6,not(not(t5))),xor(t6,and(cin,not(t5)))) )],[refute_0_4513,refute_0_4530]) ).
cnf(refute_0_4532,plain,
( and(t5,t6) != xor(t6,not(t5))
| xor(t6,not(t5)) = and(t5,t6) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t5,t6))),bind(Y0,$fot(xor(t6,not(t5))))]]) ).
cnf(refute_0_4533,plain,
xor(t6,not(t5)) = and(t5,t6),
inference(resolve,[$cnf( $equal(and(t5,t6),xor(t6,not(t5))) )],[refute_0_4531,refute_0_4532]) ).
cnf(refute_0_4534,plain,
( xor(t6,not(t5)) != and(t5,t6)
| xor(t6,xor(not(t5),X_335)) != xor(xor(t6,not(t5)),X_335)
| xor(t6,xor(not(t5),X_335)) = xor(and(t5,t6),X_335) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,xor(not(t5),X_335)),xor(xor(t6,not(t5)),X_335)) ),[1,0],$fot(and(t5,t6))]]) ).
cnf(refute_0_4535,plain,
( xor(t6,xor(not(t5),X_335)) != xor(xor(t6,not(t5)),X_335)
| xor(t6,xor(not(t5),X_335)) = xor(and(t5,t6),X_335) ),
inference(resolve,[$cnf( $equal(xor(t6,not(t5)),and(t5,t6)) )],[refute_0_4533,refute_0_4534]) ).
cnf(refute_0_4536,plain,
xor(t6,xor(not(t5),X_335)) = xor(and(t5,t6),X_335),
inference(resolve,[$cnf( $equal(xor(t6,xor(not(t5),X_335)),xor(xor(t6,not(t5)),X_335)) )],[refute_0_4509,refute_0_4535]) ).
cnf(refute_0_4537,plain,
xor(t6,xor(t5,X_335)) = xor(t5,xor(X_335,t6)),
inference(subst,[],[refute_0_1451:[bind(X,$fot(t6)),bind(X_333,$fot(t5)),bind(X_334,$fot(X_335))]]) ).
cnf(refute_0_4538,plain,
not(xor(t6,xor(t5,X_335))) = not(xor(t6,xor(t5,X_335))),
introduced(tautology,[refl,[$fot(not(xor(t6,xor(t5,X_335))))]]) ).
cnf(refute_0_4539,plain,
( not(xor(t6,xor(t5,X_335))) != not(xor(t6,xor(t5,X_335)))
| xor(t6,xor(t5,X_335)) != xor(t5,xor(X_335,t6))
| not(xor(t6,xor(t5,X_335))) = not(xor(t5,xor(X_335,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t6,xor(t5,X_335))),not(xor(t6,xor(t5,X_335)))) ),[1,0],$fot(xor(t5,xor(X_335,t6)))]]) ).
cnf(refute_0_4540,plain,
( xor(t6,xor(t5,X_335)) != xor(t5,xor(X_335,t6))
| not(xor(t6,xor(t5,X_335))) = not(xor(t5,xor(X_335,t6))) ),
inference(resolve,[$cnf( $equal(not(xor(t6,xor(t5,X_335))),not(xor(t6,xor(t5,X_335)))) )],[refute_0_4538,refute_0_4539]) ).
cnf(refute_0_4541,plain,
not(xor(t6,xor(t5,X_335))) = not(xor(t5,xor(X_335,t6))),
inference(resolve,[$cnf( $equal(xor(t6,xor(t5,X_335)),xor(t5,xor(X_335,t6))) )],[refute_0_4537,refute_0_4540]) ).
cnf(refute_0_4542,plain,
xor(t6,not(xor(t5,X_335))) = not(xor(t6,xor(t5,X_335))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t6)),bind(X_334,$fot(xor(t5,X_335)))]]) ).
cnf(refute_0_4543,plain,
( not(xor(t6,xor(t5,X_335))) != not(xor(t5,xor(X_335,t6)))
| xor(t6,not(xor(t5,X_335))) != not(xor(t6,xor(t5,X_335)))
| xor(t6,not(xor(t5,X_335))) = not(xor(t5,xor(X_335,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,not(xor(t5,X_335))))),bind(Y0,$fot(not(xor(t6,xor(t5,X_335))))),bind(Z0,$fot(not(xor(t5,xor(X_335,t6)))))]]) ).
cnf(refute_0_4544,plain,
( not(xor(t6,xor(t5,X_335))) != not(xor(t5,xor(X_335,t6)))
| xor(t6,not(xor(t5,X_335))) = not(xor(t5,xor(X_335,t6))) ),
inference(resolve,[$cnf( $equal(xor(t6,not(xor(t5,X_335))),not(xor(t6,xor(t5,X_335)))) )],[refute_0_4542,refute_0_4543]) ).
cnf(refute_0_4545,plain,
xor(t6,not(xor(t5,X_335))) = not(xor(t5,xor(X_335,t6))),
inference(resolve,[$cnf( $equal(not(xor(t6,xor(t5,X_335))),not(xor(t5,xor(X_335,t6)))) )],[refute_0_4541,refute_0_4544]) ).
cnf(refute_0_4546,plain,
xor(t5,not(X_335)) = not(xor(t5,X_335)),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t5)),bind(X_334,$fot(X_335))]]) ).
cnf(refute_0_4547,plain,
xor(not(t5),X_335) = xor(t5,not(X_335)),
inference(subst,[],[refute_0_468:[bind(Y,$fot(X_335)),bind(X_63,$fot(t5))]]) ).
cnf(refute_0_4548,plain,
( xor(not(t5),X_335) != xor(t5,not(X_335))
| xor(t5,not(X_335)) != not(xor(t5,X_335))
| xor(not(t5),X_335) = not(xor(t5,X_335)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(not(t5),X_335))),bind(Y0,$fot(xor(t5,not(X_335)))),bind(Z0,$fot(not(xor(t5,X_335))))]]) ).
cnf(refute_0_4549,plain,
( xor(t5,not(X_335)) != not(xor(t5,X_335))
| xor(not(t5),X_335) = not(xor(t5,X_335)) ),
inference(resolve,[$cnf( $equal(xor(not(t5),X_335),xor(t5,not(X_335))) )],[refute_0_4547,refute_0_4548]) ).
cnf(refute_0_4550,plain,
xor(not(t5),X_335) = not(xor(t5,X_335)),
inference(resolve,[$cnf( $equal(xor(t5,not(X_335)),not(xor(t5,X_335))) )],[refute_0_4546,refute_0_4549]) ).
cnf(refute_0_4551,plain,
xor(t6,xor(not(t5),X_335)) = xor(t6,xor(not(t5),X_335)),
introduced(tautology,[refl,[$fot(xor(t6,xor(not(t5),X_335)))]]) ).
cnf(refute_0_4552,plain,
( xor(not(t5),X_335) != not(xor(t5,X_335))
| xor(t6,xor(not(t5),X_335)) != xor(t6,xor(not(t5),X_335))
| xor(t6,xor(not(t5),X_335)) = xor(t6,not(xor(t5,X_335))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,xor(not(t5),X_335)),xor(t6,xor(not(t5),X_335))) ),[1,1],$fot(not(xor(t5,X_335)))]]) ).
cnf(refute_0_4553,plain,
( xor(not(t5),X_335) != not(xor(t5,X_335))
| xor(t6,xor(not(t5),X_335)) = xor(t6,not(xor(t5,X_335))) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(not(t5),X_335)),xor(t6,xor(not(t5),X_335))) )],[refute_0_4551,refute_0_4552]) ).
cnf(refute_0_4554,plain,
xor(t6,xor(not(t5),X_335)) = xor(t6,not(xor(t5,X_335))),
inference(resolve,[$cnf( $equal(xor(not(t5),X_335),not(xor(t5,X_335))) )],[refute_0_4550,refute_0_4553]) ).
cnf(refute_0_4555,plain,
( xor(t6,not(xor(t5,X_335))) != not(xor(t5,xor(X_335,t6)))
| xor(t6,xor(not(t5),X_335)) != xor(t6,not(xor(t5,X_335)))
| xor(t6,xor(not(t5),X_335)) = not(xor(t5,xor(X_335,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,xor(not(t5),X_335)))),bind(Y0,$fot(xor(t6,not(xor(t5,X_335))))),bind(Z0,$fot(not(xor(t5,xor(X_335,t6)))))]]) ).
cnf(refute_0_4556,plain,
( xor(t6,not(xor(t5,X_335))) != not(xor(t5,xor(X_335,t6)))
| xor(t6,xor(not(t5),X_335)) = not(xor(t5,xor(X_335,t6))) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(not(t5),X_335)),xor(t6,not(xor(t5,X_335)))) )],[refute_0_4554,refute_0_4555]) ).
cnf(refute_0_4557,plain,
xor(t6,xor(not(t5),X_335)) = not(xor(t5,xor(X_335,t6))),
inference(resolve,[$cnf( $equal(xor(t6,not(xor(t5,X_335))),not(xor(t5,xor(X_335,t6)))) )],[refute_0_4545,refute_0_4556]) ).
cnf(refute_0_4558,plain,
( xor(t6,xor(not(t5),X_335)) != not(xor(t5,xor(X_335,t6)))
| xor(t6,xor(not(t5),X_335)) != xor(and(t5,t6),X_335)
| not(xor(t5,xor(X_335,t6))) = xor(and(t5,t6),X_335) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,xor(not(t5),X_335)),xor(and(t5,t6),X_335)) ),[0],$fot(not(xor(t5,xor(X_335,t6))))]]) ).
cnf(refute_0_4559,plain,
( xor(t6,xor(not(t5),X_335)) != xor(and(t5,t6),X_335)
| not(xor(t5,xor(X_335,t6))) = xor(and(t5,t6),X_335) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(not(t5),X_335)),not(xor(t5,xor(X_335,t6)))) )],[refute_0_4557,refute_0_4558]) ).
cnf(refute_0_4560,plain,
not(xor(t5,xor(X_335,t6))) = xor(and(t5,t6),X_335),
inference(resolve,[$cnf( $equal(xor(t6,xor(not(t5),X_335)),xor(and(t5,t6),X_335)) )],[refute_0_4536,refute_0_4559]) ).
cnf(refute_0_4561,plain,
xor(t4,xor(t5,xor(t6,and(t5,t6)))) = xor(t6,xor(t6,and(t5,t6))),
inference(subst,[],[refute_0_1000:[bind(X_335,$fot(xor(t6,and(t5,t6))))]]) ).
cnf(refute_0_4562,plain,
( xor(t4,xor(t5,xor(t6,and(t5,t6)))) != xor(t6,xor(t6,and(t5,t6)))
| xor(t5,xor(t6,and(t5,t6))) != ll1
| xor(t4,ll1) = xor(t6,xor(t6,and(t5,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,xor(t5,xor(t6,and(t5,t6)))),xor(t6,xor(t6,and(t5,t6)))) ),[0,1],$fot(ll1)]]) ).
cnf(refute_0_4563,plain,
( xor(t4,xor(t5,xor(t6,and(t5,t6)))) != xor(t6,xor(t6,and(t5,t6)))
| xor(t4,ll1) = xor(t6,xor(t6,and(t5,t6))) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(t6,and(t5,t6))),ll1) )],[refute_0_2045,refute_0_4562]) ).
cnf(refute_0_4564,plain,
xor(t4,ll1) = xor(t6,xor(t6,and(t5,t6))),
inference(resolve,[$cnf( $equal(xor(t4,xor(t5,xor(t6,and(t5,t6)))),xor(t6,xor(t6,and(t5,t6)))) )],[refute_0_4561,refute_0_4563]) ).
cnf(refute_0_4565,plain,
( xor(t4,ll1) != not(t4)
| xor(t4,ll1) != xor(t6,xor(t6,and(t5,t6)))
| not(t4) = xor(t6,xor(t6,and(t5,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,ll1),xor(t6,xor(t6,and(t5,t6)))) ),[0],$fot(not(t4))]]) ).
cnf(refute_0_4566,plain,
( xor(t4,ll1) != xor(t6,xor(t6,and(t5,t6)))
| not(t4) = xor(t6,xor(t6,and(t5,t6))) ),
inference(resolve,[$cnf( $equal(xor(t4,ll1),not(t4)) )],[refute_0_4033,refute_0_4565]) ).
cnf(refute_0_4567,plain,
xor(t6,xor(t6,and(t5,t6))) = and(t5,t6),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(t6)),bind(X_335,$fot(and(t5,t6)))]]) ).
cnf(refute_0_4568,plain,
( not(t4) != xor(t6,xor(t6,and(t5,t6)))
| xor(t6,xor(t6,and(t5,t6))) != and(t5,t6)
| not(t4) = and(t5,t6) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(t4),and(t5,t6)) ),[0],$fot(xor(t6,xor(t6,and(t5,t6))))]]) ).
cnf(refute_0_4569,plain,
( not(t4) != xor(t6,xor(t6,and(t5,t6)))
| not(t4) = and(t5,t6) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(t6,and(t5,t6))),and(t5,t6)) )],[refute_0_4567,refute_0_4568]) ).
cnf(refute_0_4570,plain,
( xor(t4,ll1) != xor(t6,xor(t6,and(t5,t6)))
| not(t4) = and(t5,t6) ),
inference(resolve,[$cnf( $equal(not(t4),xor(t6,xor(t6,and(t5,t6)))) )],[refute_0_4566,refute_0_4569]) ).
cnf(refute_0_4571,plain,
not(t4) = and(t5,t6),
inference(resolve,[$cnf( $equal(xor(t4,ll1),xor(t6,xor(t6,and(t5,t6)))) )],[refute_0_4564,refute_0_4570]) ).
cnf(refute_0_4572,plain,
( not(t4) != and(t5,t6)
| and(t5,t6) = not(t4) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t4))),bind(Y0,$fot(and(t5,t6)))]]) ).
cnf(refute_0_4573,plain,
and(t5,t6) = not(t4),
inference(resolve,[$cnf( $equal(not(t4),and(t5,t6)) )],[refute_0_4571,refute_0_4572]) ).
cnf(refute_0_4574,plain,
xor(and(t5,t6),X_335) = xor(and(t5,t6),X_335),
introduced(tautology,[refl,[$fot(xor(and(t5,t6),X_335))]]) ).
cnf(refute_0_4575,plain,
( and(t5,t6) != not(t4)
| xor(and(t5,t6),X_335) != xor(and(t5,t6),X_335)
| xor(and(t5,t6),X_335) = xor(not(t4),X_335) ),
introduced(tautology,[equality,[$cnf( $equal(xor(and(t5,t6),X_335),xor(and(t5,t6),X_335)) ),[1,0],$fot(not(t4))]]) ).
cnf(refute_0_4576,plain,
( and(t5,t6) != not(t4)
| xor(and(t5,t6),X_335) = xor(not(t4),X_335) ),
inference(resolve,[$cnf( $equal(xor(and(t5,t6),X_335),xor(and(t5,t6),X_335)) )],[refute_0_4574,refute_0_4575]) ).
cnf(refute_0_4577,plain,
xor(and(t5,t6),X_335) = xor(not(t4),X_335),
inference(resolve,[$cnf( $equal(and(t5,t6),not(t4)) )],[refute_0_4573,refute_0_4576]) ).
cnf(refute_0_4578,plain,
( xor(and(t5,t6),X_335) != xor(not(t4),X_335)
| xor(not(t4),X_335) != not(xor(t4,X_335))
| xor(and(t5,t6),X_335) = not(xor(t4,X_335)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(and(t5,t6),X_335))),bind(Y0,$fot(xor(not(t4),X_335))),bind(Z0,$fot(not(xor(t4,X_335))))]]) ).
cnf(refute_0_4579,plain,
( xor(not(t4),X_335) != not(xor(t4,X_335))
| xor(and(t5,t6),X_335) = not(xor(t4,X_335)) ),
inference(resolve,[$cnf( $equal(xor(and(t5,t6),X_335),xor(not(t4),X_335)) )],[refute_0_4577,refute_0_4578]) ).
cnf(refute_0_4580,plain,
xor(and(t5,t6),X_335) = not(xor(t4,X_335)),
inference(resolve,[$cnf( $equal(xor(not(t4),X_335),not(xor(t4,X_335))) )],[refute_0_1760,refute_0_4579]) ).
cnf(refute_0_4581,plain,
( not(xor(t5,xor(X_335,t6))) != xor(and(t5,t6),X_335)
| xor(and(t5,t6),X_335) != not(xor(t4,X_335))
| not(xor(t5,xor(X_335,t6))) = not(xor(t4,X_335)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(t5,xor(X_335,t6))),not(xor(t4,X_335))) ),[0],$fot(xor(and(t5,t6),X_335))]]) ).
cnf(refute_0_4582,plain,
( not(xor(t5,xor(X_335,t6))) != xor(and(t5,t6),X_335)
| not(xor(t5,xor(X_335,t6))) = not(xor(t4,X_335)) ),
inference(resolve,[$cnf( $equal(xor(and(t5,t6),X_335),not(xor(t4,X_335))) )],[refute_0_4580,refute_0_4581]) ).
cnf(refute_0_4583,plain,
not(xor(t5,xor(X_335,t6))) = not(xor(t4,X_335)),
inference(resolve,[$cnf( $equal(not(xor(t5,xor(X_335,t6))),xor(and(t5,t6),X_335)) )],[refute_0_4560,refute_0_4582]) ).
cnf(refute_0_4584,plain,
not(xor(t5,xor(carry,t6))) = not(xor(t4,carry)),
inference(subst,[],[refute_0_4583:[bind(X_335,$fot(carry))]]) ).
cnf(refute_0_4585,plain,
not(or(b,t4)) = not(or(b,t4)),
introduced(tautology,[refl,[$fot(not(or(b,t4)))]]) ).
cnf(refute_0_4586,plain,
( not(or(b,t4)) != not(or(b,t4))
| or(b,t4) != or(a,t4)
| not(or(b,t4)) = not(or(a,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(b,t4)),not(or(b,t4))) ),[1,0],$fot(or(a,t4))]]) ).
cnf(refute_0_4587,plain,
( or(b,t4) != or(a,t4)
| not(or(b,t4)) = not(or(a,t4)) ),
inference(resolve,[$cnf( $equal(not(or(b,t4)),not(or(b,t4))) )],[refute_0_4585,refute_0_4586]) ).
cnf(refute_0_4588,plain,
not(or(b,t4)) = not(or(a,t4)),
inference(resolve,[$cnf( $equal(or(b,t4),or(a,t4)) )],[refute_0_3730,refute_0_4587]) ).
cnf(refute_0_4589,plain,
( not(or(a,t4)) != xor(a,t3)
| not(or(b,t4)) != not(or(a,t4))
| not(or(b,t4)) = xor(a,t3) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(b,t4)))),bind(Y0,$fot(not(or(a,t4)))),bind(Z0,$fot(xor(a,t3)))]]) ).
cnf(refute_0_4590,plain,
( not(or(a,t4)) != xor(a,t3)
| not(or(b,t4)) = xor(a,t3) ),
inference(resolve,[$cnf( $equal(not(or(b,t4)),not(or(a,t4))) )],[refute_0_4588,refute_0_4589]) ).
cnf(refute_0_4591,plain,
not(or(b,t4)) = xor(a,t3),
inference(resolve,[$cnf( $equal(not(or(a,t4)),xor(a,t3)) )],[refute_0_2958,refute_0_4590]) ).
cnf(refute_0_4592,plain,
( not(or(b,t4)) != xor(a,t3)
| not(or(b,t4)) != xor(b,t2)
| xor(a,t3) = xor(b,t2) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(b,t4)),xor(b,t2)) ),[0],$fot(xor(a,t3))]]) ).
cnf(refute_0_4593,plain,
( not(or(b,t4)) != xor(b,t2)
| xor(a,t3) = xor(b,t2) ),
inference(resolve,[$cnf( $equal(not(or(b,t4)),xor(a,t3)) )],[refute_0_4591,refute_0_4592]) ).
cnf(refute_0_4594,plain,
xor(a,t3) = xor(b,t2),
inference(resolve,[$cnf( $equal(not(or(b,t4)),xor(b,t2)) )],[refute_0_2216,refute_0_4593]) ).
cnf(refute_0_4595,plain,
( xor(a,t3) != xor(b,t2)
| xor(b,t2) = xor(a,t3) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(a,t3))),bind(Y0,$fot(xor(b,t2)))]]) ).
cnf(refute_0_4596,plain,
xor(b,t2) = xor(a,t3),
inference(resolve,[$cnf( $equal(xor(a,t3),xor(b,t2)) )],[refute_0_4594,refute_0_4595]) ).
cnf(refute_0_4597,plain,
( xor(b,t2) != xor(a,t3)
| xor(b,t2) != xor(carry,t6)
| xor(a,t3) = xor(carry,t6) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,t2),xor(carry,t6)) ),[0],$fot(xor(a,t3))]]) ).
cnf(refute_0_4598,plain,
( xor(b,t2) != xor(carry,t6)
| xor(a,t3) = xor(carry,t6) ),
inference(resolve,[$cnf( $equal(xor(b,t2),xor(a,t3)) )],[refute_0_4596,refute_0_4597]) ).
cnf(refute_0_4599,plain,
xor(a,t3) = xor(carry,t6),
inference(resolve,[$cnf( $equal(xor(b,t2),xor(carry,t6)) )],[refute_0_2226,refute_0_4598]) ).
cnf(refute_0_4600,plain,
( xor(a,t3) != xor(carry,t6)
| xor(carry,t6) = xor(a,t3) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(a,t3))),bind(Y0,$fot(xor(carry,t6)))]]) ).
cnf(refute_0_4601,plain,
xor(carry,t6) = xor(a,t3),
inference(resolve,[$cnf( $equal(xor(a,t3),xor(carry,t6)) )],[refute_0_4599,refute_0_4600]) ).
cnf(refute_0_4602,plain,
( not(xor(t5,xor(carry,t6))) != not(xor(t4,carry))
| xor(carry,t6) != xor(a,t3)
| not(xor(t5,xor(a,t3))) = not(xor(t4,carry)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t5,xor(carry,t6))),not(xor(t4,carry))) ),[0,0,1],$fot(xor(a,t3))]]) ).
cnf(refute_0_4603,plain,
( not(xor(t5,xor(carry,t6))) != not(xor(t4,carry))
| not(xor(t5,xor(a,t3))) = not(xor(t4,carry)) ),
inference(resolve,[$cnf( $equal(xor(carry,t6),xor(a,t3)) )],[refute_0_4601,refute_0_4602]) ).
cnf(refute_0_4604,plain,
not(xor(t5,xor(a,t3))) = not(xor(t4,carry)),
inference(resolve,[$cnf( $equal(not(xor(t5,xor(carry,t6))),not(xor(t4,carry))) )],[refute_0_4584,refute_0_4603]) ).
cnf(refute_0_4605,plain,
or(and(X,not(or(carry,t4))),and(not(X),or(carry,t4))) = xor(X,or(carry,t4)),
inference(subst,[],[refute_0_9:[bind(Y,$fot(or(carry,t4)))]]) ).
cnf(refute_0_4606,plain,
( not(or(carry,t4)) != xor(carry,t6)
| or(and(X,not(or(carry,t4))),and(not(X),or(carry,t4))) != xor(X,or(carry,t4))
| or(and(X,xor(carry,t6)),and(not(X),or(carry,t4))) = xor(X,or(carry,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X,not(or(carry,t4))),and(not(X),or(carry,t4))),xor(X,or(carry,t4))) ),[0,0,1],$fot(xor(carry,t6))]]) ).
cnf(refute_0_4607,plain,
( or(and(X,not(or(carry,t4))),and(not(X),or(carry,t4))) != xor(X,or(carry,t4))
| or(and(X,xor(carry,t6)),and(not(X),or(carry,t4))) = xor(X,or(carry,t4)) ),
inference(resolve,[$cnf( $equal(not(or(carry,t4)),xor(carry,t6)) )],[refute_0_2201,refute_0_4606]) ).
cnf(refute_0_4608,plain,
or(and(X,xor(carry,t6)),and(not(X),or(carry,t4))) = xor(X,or(carry,t4)),
inference(resolve,[$cnf( $equal(or(and(X,not(or(carry,t4))),and(not(X),or(carry,t4))),xor(X,or(carry,t4))) )],[refute_0_4605,refute_0_4607]) ).
cnf(refute_0_4609,plain,
or(and(X,xor(carry,t6)),not(or(X,xor(carry,t6)))) = not(xor(X,xor(carry,t6))),
inference(subst,[],[refute_0_3631:[bind(X_64,$fot(xor(carry,t6)))]]) ).
cnf(refute_0_4610,plain,
not(or(X,xor(t1,t4))) = and(not(X),not(xor(t1,t4))),
inference(subst,[],[or_demorgan:[bind(Y,$fot(xor(t1,t4)))]]) ).
cnf(refute_0_4611,plain,
( not(or(X,xor(t1,t4))) != and(not(X),not(xor(t1,t4)))
| not(xor(t1,t4)) != or(carry,t4)
| not(or(X,xor(t1,t4))) = and(not(X),or(carry,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t1,t4))),and(not(X),not(xor(t1,t4)))) ),[1,1],$fot(or(carry,t4))]]) ).
cnf(refute_0_4612,plain,
( not(or(X,xor(t1,t4))) != and(not(X),not(xor(t1,t4)))
| not(or(X,xor(t1,t4))) = and(not(X),or(carry,t4)) ),
inference(resolve,[$cnf( $equal(not(xor(t1,t4)),or(carry,t4)) )],[refute_0_1570,refute_0_4611]) ).
cnf(refute_0_4613,plain,
not(or(X,xor(t1,t4))) = and(not(X),or(carry,t4)),
inference(resolve,[$cnf( $equal(not(or(X,xor(t1,t4))),and(not(X),not(xor(t1,t4)))) )],[refute_0_4610,refute_0_4612]) ).
cnf(refute_0_4614,plain,
or(X,xor(t1,t4)) = or(X,xor(t1,t4)),
introduced(tautology,[refl,[$fot(or(X,xor(t1,t4)))]]) ).
cnf(refute_0_4615,plain,
( or(X,xor(t1,t4)) != or(X,xor(t1,t4))
| xor(t1,t4) != xor(carry,t6)
| or(X,xor(t1,t4)) = or(X,xor(carry,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(X,xor(t1,t4)),or(X,xor(t1,t4))) ),[1,1],$fot(xor(carry,t6))]]) ).
cnf(refute_0_4616,plain,
( xor(t1,t4) != xor(carry,t6)
| or(X,xor(t1,t4)) = or(X,xor(carry,t6)) ),
inference(resolve,[$cnf( $equal(or(X,xor(t1,t4)),or(X,xor(t1,t4))) )],[refute_0_4614,refute_0_4615]) ).
cnf(refute_0_4617,plain,
or(X,xor(t1,t4)) = or(X,xor(carry,t6)),
inference(resolve,[$cnf( $equal(xor(t1,t4),xor(carry,t6)) )],[refute_0_1496,refute_0_4616]) ).
cnf(refute_0_4618,plain,
not(or(X,xor(t1,t4))) = not(or(X,xor(t1,t4))),
introduced(tautology,[refl,[$fot(not(or(X,xor(t1,t4))))]]) ).
cnf(refute_0_4619,plain,
( not(or(X,xor(t1,t4))) != not(or(X,xor(t1,t4)))
| or(X,xor(t1,t4)) != or(X,xor(carry,t6))
| not(or(X,xor(t1,t4))) = not(or(X,xor(carry,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t1,t4))),not(or(X,xor(t1,t4)))) ),[1,0],$fot(or(X,xor(carry,t6)))]]) ).
cnf(refute_0_4620,plain,
( or(X,xor(t1,t4)) != or(X,xor(carry,t6))
| not(or(X,xor(t1,t4))) = not(or(X,xor(carry,t6))) ),
inference(resolve,[$cnf( $equal(not(or(X,xor(t1,t4))),not(or(X,xor(t1,t4)))) )],[refute_0_4618,refute_0_4619]) ).
cnf(refute_0_4621,plain,
not(or(X,xor(t1,t4))) = not(or(X,xor(carry,t6))),
inference(resolve,[$cnf( $equal(or(X,xor(t1,t4)),or(X,xor(carry,t6))) )],[refute_0_4617,refute_0_4620]) ).
cnf(refute_0_4622,plain,
( not(or(X,xor(t1,t4))) != and(not(X),or(carry,t4))
| not(or(X,xor(t1,t4))) != not(or(X,xor(carry,t6)))
| not(or(X,xor(carry,t6))) = and(not(X),or(carry,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t1,t4))),and(not(X),or(carry,t4))) ),[0],$fot(not(or(X,xor(carry,t6))))]]) ).
cnf(refute_0_4623,plain,
( not(or(X,xor(t1,t4))) != and(not(X),or(carry,t4))
| not(or(X,xor(carry,t6))) = and(not(X),or(carry,t4)) ),
inference(resolve,[$cnf( $equal(not(or(X,xor(t1,t4))),not(or(X,xor(carry,t6)))) )],[refute_0_4621,refute_0_4622]) ).
cnf(refute_0_4624,plain,
not(or(X,xor(carry,t6))) = and(not(X),or(carry,t4)),
inference(resolve,[$cnf( $equal(not(or(X,xor(t1,t4))),and(not(X),or(carry,t4))) )],[refute_0_4613,refute_0_4623]) ).
cnf(refute_0_4625,plain,
( not(or(X,xor(carry,t6))) != and(not(X),or(carry,t4))
| and(not(X),or(carry,t4)) = not(or(X,xor(carry,t6))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X,xor(carry,t6))))),bind(Y0,$fot(and(not(X),or(carry,t4))))]]) ).
cnf(refute_0_4626,plain,
and(not(X),or(carry,t4)) = not(or(X,xor(carry,t6))),
inference(resolve,[$cnf( $equal(not(or(X,xor(carry,t6))),and(not(X),or(carry,t4))) )],[refute_0_4624,refute_0_4625]) ).
cnf(refute_0_4627,plain,
or(and(X,xor(carry,t6)),and(not(X),or(carry,t4))) = or(and(X,xor(carry,t6)),and(not(X),or(carry,t4))),
introduced(tautology,[refl,[$fot(or(and(X,xor(carry,t6)),and(not(X),or(carry,t4))))]]) ).
cnf(refute_0_4628,plain,
( and(not(X),or(carry,t4)) != not(or(X,xor(carry,t6)))
| or(and(X,xor(carry,t6)),and(not(X),or(carry,t4))) != or(and(X,xor(carry,t6)),and(not(X),or(carry,t4)))
| or(and(X,xor(carry,t6)),and(not(X),or(carry,t4))) = or(and(X,xor(carry,t6)),not(or(X,xor(carry,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X,xor(carry,t6)),and(not(X),or(carry,t4))),or(and(X,xor(carry,t6)),and(not(X),or(carry,t4)))) ),[1,1],$fot(not(or(X,xor(carry,t6))))]]) ).
cnf(refute_0_4629,plain,
( and(not(X),or(carry,t4)) != not(or(X,xor(carry,t6)))
| or(and(X,xor(carry,t6)),and(not(X),or(carry,t4))) = or(and(X,xor(carry,t6)),not(or(X,xor(carry,t6)))) ),
inference(resolve,[$cnf( $equal(or(and(X,xor(carry,t6)),and(not(X),or(carry,t4))),or(and(X,xor(carry,t6)),and(not(X),or(carry,t4)))) )],[refute_0_4627,refute_0_4628]) ).
cnf(refute_0_4630,plain,
or(and(X,xor(carry,t6)),and(not(X),or(carry,t4))) = or(and(X,xor(carry,t6)),not(or(X,xor(carry,t6)))),
inference(resolve,[$cnf( $equal(and(not(X),or(carry,t4)),not(or(X,xor(carry,t6)))) )],[refute_0_4626,refute_0_4629]) ).
cnf(refute_0_4631,plain,
( or(and(X,xor(carry,t6)),and(not(X),or(carry,t4))) != or(and(X,xor(carry,t6)),not(or(X,xor(carry,t6))))
| or(and(X,xor(carry,t6)),not(or(X,xor(carry,t6)))) != not(xor(X,xor(carry,t6)))
| or(and(X,xor(carry,t6)),and(not(X),or(carry,t4))) = not(xor(X,xor(carry,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(X,xor(carry,t6)),and(not(X),or(carry,t4))))),bind(Y0,$fot(or(and(X,xor(carry,t6)),not(or(X,xor(carry,t6)))))),bind(Z0,$fot(not(xor(X,xor(carry,t6)))))]]) ).
cnf(refute_0_4632,plain,
( or(and(X,xor(carry,t6)),not(or(X,xor(carry,t6)))) != not(xor(X,xor(carry,t6)))
| or(and(X,xor(carry,t6)),and(not(X),or(carry,t4))) = not(xor(X,xor(carry,t6))) ),
inference(resolve,[$cnf( $equal(or(and(X,xor(carry,t6)),and(not(X),or(carry,t4))),or(and(X,xor(carry,t6)),not(or(X,xor(carry,t6))))) )],[refute_0_4630,refute_0_4631]) ).
cnf(refute_0_4633,plain,
or(and(X,xor(carry,t6)),and(not(X),or(carry,t4))) = not(xor(X,xor(carry,t6))),
inference(resolve,[$cnf( $equal(or(and(X,xor(carry,t6)),not(or(X,xor(carry,t6)))),not(xor(X,xor(carry,t6)))) )],[refute_0_4609,refute_0_4632]) ).
cnf(refute_0_4634,plain,
( or(and(X,xor(carry,t6)),and(not(X),or(carry,t4))) != not(xor(X,xor(carry,t6)))
| or(and(X,xor(carry,t6)),and(not(X),or(carry,t4))) != xor(X,or(carry,t4))
| not(xor(X,xor(carry,t6))) = xor(X,or(carry,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X,xor(carry,t6)),and(not(X),or(carry,t4))),xor(X,or(carry,t4))) ),[0],$fot(not(xor(X,xor(carry,t6))))]]) ).
cnf(refute_0_4635,plain,
( or(and(X,xor(carry,t6)),and(not(X),or(carry,t4))) != xor(X,or(carry,t4))
| not(xor(X,xor(carry,t6))) = xor(X,or(carry,t4)) ),
inference(resolve,[$cnf( $equal(or(and(X,xor(carry,t6)),and(not(X),or(carry,t4))),not(xor(X,xor(carry,t6)))) )],[refute_0_4633,refute_0_4634]) ).
cnf(refute_0_4636,plain,
not(xor(X,xor(carry,t6))) = xor(X,or(carry,t4)),
inference(resolve,[$cnf( $equal(or(and(X,xor(carry,t6)),and(not(X),or(carry,t4))),xor(X,or(carry,t4))) )],[refute_0_4608,refute_0_4635]) ).
cnf(refute_0_4637,plain,
not(xor(X,xor(carry,t6))) = not(xor(X,xor(carry,t6))),
introduced(tautology,[refl,[$fot(not(xor(X,xor(carry,t6))))]]) ).
cnf(refute_0_4638,plain,
( not(xor(X,xor(carry,t6))) != not(xor(X,xor(carry,t6)))
| xor(X,xor(carry,t6)) != xor(X,xor(b,t2))
| not(xor(X,xor(carry,t6))) = not(xor(X,xor(b,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(X,xor(carry,t6))),not(xor(X,xor(carry,t6)))) ),[1,0],$fot(xor(X,xor(b,t2)))]]) ).
cnf(refute_0_4639,plain,
( xor(X,xor(carry,t6)) != xor(X,xor(b,t2))
| not(xor(X,xor(carry,t6))) = not(xor(X,xor(b,t2))) ),
inference(resolve,[$cnf( $equal(not(xor(X,xor(carry,t6))),not(xor(X,xor(carry,t6)))) )],[refute_0_4637,refute_0_4638]) ).
cnf(refute_0_4640,plain,
not(xor(X,xor(carry,t6))) = not(xor(X,xor(b,t2))),
inference(resolve,[$cnf( $equal(xor(X,xor(carry,t6)),xor(X,xor(b,t2))) )],[refute_0_3670,refute_0_4639]) ).
cnf(refute_0_4641,plain,
( not(xor(X,xor(carry,t6))) != not(xor(X,xor(b,t2)))
| not(xor(X,xor(carry,t6))) != xor(X,or(carry,t4))
| not(xor(X,xor(b,t2))) = xor(X,or(carry,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(X,xor(carry,t6))),xor(X,or(carry,t4))) ),[0],$fot(not(xor(X,xor(b,t2))))]]) ).
cnf(refute_0_4642,plain,
( not(xor(X,xor(carry,t6))) != xor(X,or(carry,t4))
| not(xor(X,xor(b,t2))) = xor(X,or(carry,t4)) ),
inference(resolve,[$cnf( $equal(not(xor(X,xor(carry,t6))),not(xor(X,xor(b,t2)))) )],[refute_0_4640,refute_0_4641]) ).
cnf(refute_0_4643,plain,
( not(xor(X,xor(b,t2))) != xor(X,or(carry,t4))
| xor(X,or(carry,t4)) != xor(X,or(b,t4))
| not(xor(X,xor(b,t2))) = xor(X,or(b,t4)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(X,xor(b,t2))),xor(X,or(b,t4))) ),[0],$fot(xor(X,or(carry,t4)))]]) ).
cnf(refute_0_4644,plain,
( not(xor(X,xor(b,t2))) != xor(X,or(carry,t4))
| not(xor(X,xor(b,t2))) = xor(X,or(b,t4)) ),
inference(resolve,[$cnf( $equal(xor(X,or(carry,t4)),xor(X,or(b,t4))) )],[refute_0_3660,refute_0_4643]) ).
cnf(refute_0_4645,plain,
( not(xor(X,xor(carry,t6))) != xor(X,or(carry,t4))
| not(xor(X,xor(b,t2))) = xor(X,or(b,t4)) ),
inference(resolve,[$cnf( $equal(not(xor(X,xor(b,t2))),xor(X,or(carry,t4))) )],[refute_0_4642,refute_0_4644]) ).
cnf(refute_0_4646,plain,
not(xor(X,xor(b,t2))) = xor(X,or(b,t4)),
inference(resolve,[$cnf( $equal(not(xor(X,xor(carry,t6))),xor(X,or(carry,t4))) )],[refute_0_4636,refute_0_4645]) ).
cnf(refute_0_4647,plain,
xor(X,xor(b,t2)) = xor(X,xor(b,t2)),
introduced(tautology,[refl,[$fot(xor(X,xor(b,t2)))]]) ).
cnf(refute_0_4648,plain,
( xor(X,xor(b,t2)) != xor(X,xor(b,t2))
| xor(b,t2) != xor(a,t3)
| xor(X,xor(b,t2)) = xor(X,xor(a,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,xor(b,t2)),xor(X,xor(b,t2))) ),[1,1],$fot(xor(a,t3))]]) ).
cnf(refute_0_4649,plain,
( xor(b,t2) != xor(a,t3)
| xor(X,xor(b,t2)) = xor(X,xor(a,t3)) ),
inference(resolve,[$cnf( $equal(xor(X,xor(b,t2)),xor(X,xor(b,t2))) )],[refute_0_4647,refute_0_4648]) ).
cnf(refute_0_4650,plain,
xor(X,xor(b,t2)) = xor(X,xor(a,t3)),
inference(resolve,[$cnf( $equal(xor(b,t2),xor(a,t3)) )],[refute_0_4596,refute_0_4649]) ).
cnf(refute_0_4651,plain,
not(xor(X,xor(b,t2))) = not(xor(X,xor(b,t2))),
introduced(tautology,[refl,[$fot(not(xor(X,xor(b,t2))))]]) ).
cnf(refute_0_4652,plain,
( not(xor(X,xor(b,t2))) != not(xor(X,xor(b,t2)))
| xor(X,xor(b,t2)) != xor(X,xor(a,t3))
| not(xor(X,xor(b,t2))) = not(xor(X,xor(a,t3))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(X,xor(b,t2))),not(xor(X,xor(b,t2)))) ),[1,0],$fot(xor(X,xor(a,t3)))]]) ).
cnf(refute_0_4653,plain,
( xor(X,xor(b,t2)) != xor(X,xor(a,t3))
| not(xor(X,xor(b,t2))) = not(xor(X,xor(a,t3))) ),
inference(resolve,[$cnf( $equal(not(xor(X,xor(b,t2))),not(xor(X,xor(b,t2)))) )],[refute_0_4651,refute_0_4652]) ).
cnf(refute_0_4654,plain,
not(xor(X,xor(b,t2))) = not(xor(X,xor(a,t3))),
inference(resolve,[$cnf( $equal(xor(X,xor(b,t2)),xor(X,xor(a,t3))) )],[refute_0_4650,refute_0_4653]) ).
cnf(refute_0_4655,plain,
( not(xor(X,xor(b,t2))) != not(xor(X,xor(a,t3)))
| not(xor(X,xor(b,t2))) != xor(X,or(b,t4))
| not(xor(X,xor(a,t3))) = xor(X,or(b,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(X,xor(b,t2))),xor(X,or(b,t4))) ),[0],$fot(not(xor(X,xor(a,t3))))]]) ).
cnf(refute_0_4656,plain,
( not(xor(X,xor(b,t2))) != xor(X,or(b,t4))
| not(xor(X,xor(a,t3))) = xor(X,or(b,t4)) ),
inference(resolve,[$cnf( $equal(not(xor(X,xor(b,t2))),not(xor(X,xor(a,t3)))) )],[refute_0_4654,refute_0_4655]) ).
cnf(refute_0_4657,plain,
xor(X,or(b,t4)) = xor(X,or(b,t4)),
introduced(tautology,[refl,[$fot(xor(X,or(b,t4)))]]) ).
cnf(refute_0_4658,plain,
( or(b,t4) != or(a,t4)
| xor(X,or(b,t4)) != xor(X,or(b,t4))
| xor(X,or(b,t4)) = xor(X,or(a,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,or(b,t4)),xor(X,or(b,t4))) ),[1,1],$fot(or(a,t4))]]) ).
cnf(refute_0_4659,plain,
( or(b,t4) != or(a,t4)
| xor(X,or(b,t4)) = xor(X,or(a,t4)) ),
inference(resolve,[$cnf( $equal(xor(X,or(b,t4)),xor(X,or(b,t4))) )],[refute_0_4657,refute_0_4658]) ).
cnf(refute_0_4660,plain,
xor(X,or(b,t4)) = xor(X,or(a,t4)),
inference(resolve,[$cnf( $equal(or(b,t4),or(a,t4)) )],[refute_0_3730,refute_0_4659]) ).
cnf(refute_0_4661,plain,
( not(xor(X,xor(a,t3))) != xor(X,or(b,t4))
| xor(X,or(b,t4)) != xor(X,or(a,t4))
| not(xor(X,xor(a,t3))) = xor(X,or(a,t4)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(X,xor(a,t3))),xor(X,or(a,t4))) ),[0],$fot(xor(X,or(b,t4)))]]) ).
cnf(refute_0_4662,plain,
( not(xor(X,xor(a,t3))) != xor(X,or(b,t4))
| not(xor(X,xor(a,t3))) = xor(X,or(a,t4)) ),
inference(resolve,[$cnf( $equal(xor(X,or(b,t4)),xor(X,or(a,t4))) )],[refute_0_4660,refute_0_4661]) ).
cnf(refute_0_4663,plain,
( not(xor(X,xor(b,t2))) != xor(X,or(b,t4))
| not(xor(X,xor(a,t3))) = xor(X,or(a,t4)) ),
inference(resolve,[$cnf( $equal(not(xor(X,xor(a,t3))),xor(X,or(b,t4))) )],[refute_0_4656,refute_0_4662]) ).
cnf(refute_0_4664,plain,
not(xor(X,xor(a,t3))) = xor(X,or(a,t4)),
inference(resolve,[$cnf( $equal(not(xor(X,xor(b,t2))),xor(X,or(b,t4))) )],[refute_0_4646,refute_0_4663]) ).
cnf(refute_0_4665,plain,
not(xor(t5,xor(a,t3))) = xor(t5,or(a,t4)),
inference(subst,[],[refute_0_4664:[bind(X,$fot(t5))]]) ).
cnf(refute_0_4666,plain,
( not(xor(t5,xor(a,t3))) != not(xor(t4,carry))
| not(xor(t5,xor(a,t3))) != xor(t5,or(a,t4))
| xor(t5,or(a,t4)) = not(xor(t4,carry)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t5,xor(a,t3))),not(xor(t4,carry))) ),[0],$fot(xor(t5,or(a,t4)))]]) ).
cnf(refute_0_4667,plain,
( not(xor(t5,xor(a,t3))) != not(xor(t4,carry))
| xor(t5,or(a,t4)) = not(xor(t4,carry)) ),
inference(resolve,[$cnf( $equal(not(xor(t5,xor(a,t3))),xor(t5,or(a,t4))) )],[refute_0_4665,refute_0_4666]) ).
cnf(refute_0_4668,plain,
not(xor(t2,xor(X_346,t3))) = not(xor(t4,X_346)),
inference(subst,[],[refute_0_1764:[bind(X_335,$fot(X_346))]]) ).
cnf(refute_0_4669,plain,
xor(X_346,t4) = xor(t4,X_346),
inference(subst,[],[xor_commutative:[bind(X,$fot(X_346)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_4670,plain,
( xor(X_346,t4) != xor(t4,X_346)
| xor(t4,X_346) = xor(X_346,t4) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X_346,t4))),bind(Y0,$fot(xor(t4,X_346)))]]) ).
cnf(refute_0_4671,plain,
xor(t4,X_346) = xor(X_346,t4),
inference(resolve,[$cnf( $equal(xor(X_346,t4),xor(t4,X_346)) )],[refute_0_4669,refute_0_4670]) ).
cnf(refute_0_4672,plain,
( not(xor(t2,xor(X_346,t3))) != not(xor(t4,X_346))
| xor(t4,X_346) != xor(X_346,t4)
| not(xor(t2,xor(X_346,t3))) = not(xor(X_346,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t2,xor(X_346,t3))),not(xor(t4,X_346))) ),[1,0],$fot(xor(X_346,t4))]]) ).
cnf(refute_0_4673,plain,
( not(xor(t2,xor(X_346,t3))) != not(xor(t4,X_346))
| not(xor(t2,xor(X_346,t3))) = not(xor(X_346,t4)) ),
inference(resolve,[$cnf( $equal(xor(t4,X_346),xor(X_346,t4)) )],[refute_0_4671,refute_0_4672]) ).
cnf(refute_0_4674,plain,
not(xor(t2,xor(X_346,t3))) = not(xor(X_346,t4)),
inference(resolve,[$cnf( $equal(not(xor(t2,xor(X_346,t3))),not(xor(t4,X_346))) )],[refute_0_4668,refute_0_4673]) ).
cnf(refute_0_4675,plain,
( not(xor(t2,xor(X_346,t3))) != not(xor(X_346,t4))
| not(xor(t2,xor(X_346,t3))) != not(xor(t4,X_346))
| not(xor(t4,X_346)) = not(xor(X_346,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t2,xor(X_346,t3))),not(xor(X_346,t4))) ),[0],$fot(not(xor(t4,X_346)))]]) ).
cnf(refute_0_4676,plain,
( not(xor(t2,xor(X_346,t3))) != not(xor(X_346,t4))
| not(xor(t4,X_346)) = not(xor(X_346,t4)) ),
inference(resolve,[$cnf( $equal(not(xor(t2,xor(X_346,t3))),not(xor(t4,X_346))) )],[refute_0_4668,refute_0_4675]) ).
cnf(refute_0_4677,plain,
not(xor(t4,X_346)) = not(xor(X_346,t4)),
inference(resolve,[$cnf( $equal(not(xor(t2,xor(X_346,t3))),not(xor(X_346,t4))) )],[refute_0_4674,refute_0_4676]) ).
cnf(refute_0_4678,plain,
not(xor(t4,carry)) = not(xor(carry,t4)),
inference(subst,[],[refute_0_4677:[bind(X_346,$fot(carry))]]) ).
cnf(refute_0_4679,plain,
( not(xor(t4,carry)) != not(xor(carry,t4))
| xor(t5,or(a,t4)) != not(xor(t4,carry))
| xor(t5,or(a,t4)) = not(xor(carry,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t5,or(a,t4)),not(xor(t4,carry))) ),[1],$fot(not(xor(carry,t4)))]]) ).
cnf(refute_0_4680,plain,
( xor(t5,or(a,t4)) != not(xor(t4,carry))
| xor(t5,or(a,t4)) = not(xor(carry,t4)) ),
inference(resolve,[$cnf( $equal(not(xor(t4,carry)),not(xor(carry,t4))) )],[refute_0_4678,refute_0_4679]) ).
cnf(refute_0_4681,plain,
( not(xor(t5,xor(a,t3))) != not(xor(t4,carry))
| xor(t5,or(a,t4)) = not(xor(carry,t4)) ),
inference(resolve,[$cnf( $equal(xor(t5,or(a,t4)),not(xor(t4,carry))) )],[refute_0_4667,refute_0_4680]) ).
cnf(refute_0_4682,plain,
xor(t5,or(a,t4)) = not(xor(carry,t4)),
inference(resolve,[$cnf( $equal(not(xor(t5,xor(a,t3))),not(xor(t4,carry))) )],[refute_0_4604,refute_0_4681]) ).
cnf(refute_0_4683,plain,
( xor(cin,xor(t5,or(a,t4))) != xor(t7,or(a,t4))
| xor(t5,or(a,t4)) != not(xor(carry,t4))
| xor(cin,not(xor(carry,t4))) = xor(t7,or(a,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t5,or(a,t4))),xor(t7,or(a,t4))) ),[0,1],$fot(not(xor(carry,t4)))]]) ).
cnf(refute_0_4684,plain,
( xor(cin,xor(t5,or(a,t4))) != xor(t7,or(a,t4))
| xor(cin,not(xor(carry,t4))) = xor(t7,or(a,t4)) ),
inference(resolve,[$cnf( $equal(xor(t5,or(a,t4)),not(xor(carry,t4))) )],[refute_0_4682,refute_0_4683]) ).
cnf(refute_0_4685,plain,
xor(cin,not(xor(carry,t4))) = xor(t7,or(a,t4)),
inference(resolve,[$cnf( $equal(xor(cin,xor(t5,or(a,t4))),xor(t7,or(a,t4))) )],[refute_0_4508,refute_0_4684]) ).
cnf(refute_0_4686,plain,
xor(cin,xor(t5,t5)) = xor(t7,t5),
inference(subst,[],[refute_0_2486:[bind(X_335,$fot(t5))]]) ).
cnf(refute_0_4687,plain,
( xor(cin,xor(t5,t5)) != xor(t7,t5)
| xor(t5,t5) != ll0
| xor(cin,ll0) = xor(t7,t5) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t5,t5)),xor(t7,t5)) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_4688,plain,
( xor(cin,xor(t5,t5)) != xor(t7,t5)
| xor(cin,ll0) = xor(t7,t5) ),
inference(resolve,[$cnf( $equal(xor(t5,t5),ll0) )],[refute_0_1354,refute_0_4687]) ).
cnf(refute_0_4689,plain,
xor(cin,ll0) = xor(t7,t5),
inference(resolve,[$cnf( $equal(xor(cin,xor(t5,t5)),xor(t7,t5)) )],[refute_0_4686,refute_0_4688]) ).
cnf(refute_0_4690,plain,
xor(cin,ll0) = cin,
inference(subst,[],[refute_0_1378:[bind(X_63,$fot(cin))]]) ).
cnf(refute_0_4691,plain,
( xor(cin,ll0) != cin
| xor(cin,ll0) != xor(t7,t5)
| cin = xor(t7,t5) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,ll0),xor(t7,t5)) ),[0],$fot(cin)]]) ).
cnf(refute_0_4692,plain,
( xor(cin,ll0) != xor(t7,t5)
| cin = xor(t7,t5) ),
inference(resolve,[$cnf( $equal(xor(cin,ll0),cin) )],[refute_0_4690,refute_0_4691]) ).
cnf(refute_0_4693,plain,
xor(t7,t5) = xor(t5,t7),
inference(subst,[],[refute_0_1913:[bind(X,$fot(t5)),bind(Y,$fot(t7))]]) ).
cnf(refute_0_4694,plain,
( cin != xor(t7,t5)
| xor(t7,t5) != xor(t5,t7)
| cin = xor(t5,t7) ),
introduced(tautology,[equality,[$cnf( ~ $equal(cin,xor(t5,t7)) ),[0],$fot(xor(t7,t5))]]) ).
cnf(refute_0_4695,plain,
( cin != xor(t7,t5)
| cin = xor(t5,t7) ),
inference(resolve,[$cnf( $equal(xor(t7,t5),xor(t5,t7)) )],[refute_0_4693,refute_0_4694]) ).
cnf(refute_0_4696,plain,
( xor(cin,ll0) != xor(t7,t5)
| cin = xor(t5,t7) ),
inference(resolve,[$cnf( $equal(cin,xor(t7,t5)) )],[refute_0_4692,refute_0_4695]) ).
cnf(refute_0_4697,plain,
cin = xor(t5,t7),
inference(resolve,[$cnf( $equal(xor(cin,ll0),xor(t7,t5)) )],[refute_0_4689,refute_0_4696]) ).
cnf(refute_0_4698,plain,
( cin != xor(t5,t7)
| xor(t5,t7) = cin ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(cin)),bind(Y0,$fot(xor(t5,t7)))]]) ).
cnf(refute_0_4699,plain,
xor(t5,t7) = cin,
inference(resolve,[$cnf( $equal(cin,xor(t5,t7)) )],[refute_0_4697,refute_0_4698]) ).
cnf(refute_0_4700,plain,
( xor(t4,xor(t5,t7)) != xor(t6,t7)
| xor(t5,t7) != cin
| xor(t4,cin) = xor(t6,t7) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,xor(t5,t7)),xor(t6,t7)) ),[0,1],$fot(cin)]]) ).
cnf(refute_0_4701,plain,
( xor(t4,xor(t5,t7)) != xor(t6,t7)
| xor(t4,cin) = xor(t6,t7) ),
inference(resolve,[$cnf( $equal(xor(t5,t7),cin) )],[refute_0_4699,refute_0_4700]) ).
cnf(refute_0_4702,plain,
xor(t4,cin) = xor(t6,t7),
inference(resolve,[$cnf( $equal(xor(t4,xor(t5,t7)),xor(t6,t7)) )],[refute_0_1001,refute_0_4701]) ).
cnf(refute_0_4703,plain,
xor(t4,cin) = xor(cin,t4),
inference(subst,[],[refute_0_1913:[bind(X,$fot(cin)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_4704,plain,
( xor(t4,cin) != xor(cin,t4)
| xor(t4,cin) != xor(t6,t7)
| xor(cin,t4) = xor(t6,t7) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,cin),xor(t6,t7)) ),[0],$fot(xor(cin,t4))]]) ).
cnf(refute_0_4705,plain,
( xor(t4,cin) != xor(t6,t7)
| xor(cin,t4) = xor(t6,t7) ),
inference(resolve,[$cnf( $equal(xor(t4,cin),xor(cin,t4)) )],[refute_0_4703,refute_0_4704]) ).
cnf(refute_0_4706,plain,
( xor(cin,t4) != xor(t6,t7)
| xor(t6,t7) != sum
| xor(cin,t4) = sum ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(cin,t4),sum) ),[0],$fot(xor(t6,t7))]]) ).
cnf(refute_0_4707,plain,
( xor(cin,t4) != xor(t6,t7)
| xor(cin,t4) = sum ),
inference(resolve,[$cnf( $equal(xor(t6,t7),sum) )],[refute_0_1154,refute_0_4706]) ).
cnf(refute_0_4708,plain,
( xor(t4,cin) != xor(t6,t7)
| xor(cin,t4) = sum ),
inference(resolve,[$cnf( $equal(xor(cin,t4),xor(t6,t7)) )],[refute_0_4705,refute_0_4707]) ).
cnf(refute_0_4709,plain,
xor(cin,t4) = sum,
inference(resolve,[$cnf( $equal(xor(t4,cin),xor(t6,t7)) )],[refute_0_4702,refute_0_4708]) ).
cnf(refute_0_4710,plain,
xor(carry,xor(cin,t4)) = xor(carry,xor(cin,t4)),
introduced(tautology,[refl,[$fot(xor(carry,xor(cin,t4)))]]) ).
cnf(refute_0_4711,plain,
( xor(carry,xor(cin,t4)) != xor(carry,xor(cin,t4))
| xor(cin,t4) != sum
| xor(carry,xor(cin,t4)) = xor(carry,sum) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(cin,t4)),xor(carry,xor(cin,t4))) ),[1,1],$fot(sum)]]) ).
cnf(refute_0_4712,plain,
( xor(cin,t4) != sum
| xor(carry,xor(cin,t4)) = xor(carry,sum) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(cin,t4)),xor(carry,xor(cin,t4))) )],[refute_0_4710,refute_0_4711]) ).
cnf(refute_0_4713,plain,
xor(carry,xor(cin,t4)) = xor(carry,sum),
inference(resolve,[$cnf( $equal(xor(cin,t4),sum) )],[refute_0_4709,refute_0_4712]) ).
cnf(refute_0_4714,plain,
xor(cin,xor(carry,t4)) = xor(carry,xor(cin,t4)),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(carry)),bind(X_334,$fot(cin)),bind(X_335,$fot(t4))]]) ).
cnf(refute_0_4715,plain,
( xor(carry,xor(cin,t4)) != xor(carry,sum)
| xor(cin,xor(carry,t4)) != xor(carry,xor(cin,t4))
| xor(cin,xor(carry,t4)) = xor(carry,sum) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(cin,xor(carry,t4)))),bind(Y0,$fot(xor(carry,xor(cin,t4)))),bind(Z0,$fot(xor(carry,sum)))]]) ).
cnf(refute_0_4716,plain,
( xor(carry,xor(cin,t4)) != xor(carry,sum)
| xor(cin,xor(carry,t4)) = xor(carry,sum) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(carry,t4)),xor(carry,xor(cin,t4))) )],[refute_0_4714,refute_0_4715]) ).
cnf(refute_0_4717,plain,
xor(cin,xor(carry,t4)) = xor(carry,sum),
inference(resolve,[$cnf( $equal(xor(carry,xor(cin,t4)),xor(carry,sum)) )],[refute_0_4713,refute_0_4716]) ).
cnf(refute_0_4718,plain,
not(xor(cin,xor(carry,t4))) = not(xor(cin,xor(carry,t4))),
introduced(tautology,[refl,[$fot(not(xor(cin,xor(carry,t4))))]]) ).
cnf(refute_0_4719,plain,
( not(xor(cin,xor(carry,t4))) != not(xor(cin,xor(carry,t4)))
| xor(cin,xor(carry,t4)) != xor(carry,sum)
| not(xor(cin,xor(carry,t4))) = not(xor(carry,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(cin,xor(carry,t4))),not(xor(cin,xor(carry,t4)))) ),[1,0],$fot(xor(carry,sum))]]) ).
cnf(refute_0_4720,plain,
( xor(cin,xor(carry,t4)) != xor(carry,sum)
| not(xor(cin,xor(carry,t4))) = not(xor(carry,sum)) ),
inference(resolve,[$cnf( $equal(not(xor(cin,xor(carry,t4))),not(xor(cin,xor(carry,t4)))) )],[refute_0_4718,refute_0_4719]) ).
cnf(refute_0_4721,plain,
not(xor(cin,xor(carry,t4))) = not(xor(carry,sum)),
inference(resolve,[$cnf( $equal(xor(cin,xor(carry,t4)),xor(carry,sum)) )],[refute_0_4717,refute_0_4720]) ).
cnf(refute_0_4722,plain,
xor(cin,not(xor(carry,t4))) = not(xor(cin,xor(carry,t4))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(cin)),bind(X_334,$fot(xor(carry,t4)))]]) ).
cnf(refute_0_4723,plain,
( not(xor(cin,xor(carry,t4))) != not(xor(carry,sum))
| xor(cin,not(xor(carry,t4))) != not(xor(cin,xor(carry,t4)))
| xor(cin,not(xor(carry,t4))) = not(xor(carry,sum)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(cin,not(xor(carry,t4))))),bind(Y0,$fot(not(xor(cin,xor(carry,t4))))),bind(Z0,$fot(not(xor(carry,sum))))]]) ).
cnf(refute_0_4724,plain,
( not(xor(cin,xor(carry,t4))) != not(xor(carry,sum))
| xor(cin,not(xor(carry,t4))) = not(xor(carry,sum)) ),
inference(resolve,[$cnf( $equal(xor(cin,not(xor(carry,t4))),not(xor(cin,xor(carry,t4)))) )],[refute_0_4722,refute_0_4723]) ).
cnf(refute_0_4725,plain,
xor(cin,not(xor(carry,t4))) = not(xor(carry,sum)),
inference(resolve,[$cnf( $equal(not(xor(cin,xor(carry,t4))),not(xor(carry,sum))) )],[refute_0_4721,refute_0_4724]) ).
cnf(refute_0_4726,plain,
( xor(cin,not(xor(carry,t4))) != not(xor(carry,sum))
| xor(cin,not(xor(carry,t4))) != xor(t7,or(a,t4))
| not(xor(carry,sum)) = xor(t7,or(a,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,not(xor(carry,t4))),xor(t7,or(a,t4))) ),[0],$fot(not(xor(carry,sum)))]]) ).
cnf(refute_0_4727,plain,
( xor(cin,not(xor(carry,t4))) != xor(t7,or(a,t4))
| not(xor(carry,sum)) = xor(t7,or(a,t4)) ),
inference(resolve,[$cnf( $equal(xor(cin,not(xor(carry,t4))),not(xor(carry,sum))) )],[refute_0_4725,refute_0_4726]) ).
cnf(refute_0_4728,plain,
not(xor(carry,sum)) = xor(t7,or(a,t4)),
inference(resolve,[$cnf( $equal(xor(cin,not(xor(carry,t4))),xor(t7,or(a,t4))) )],[refute_0_4685,refute_0_4727]) ).
cnf(refute_0_4729,plain,
( not(xor(carry,sum)) != xor(t7,or(a,t4))
| xor(t7,or(a,t4)) = not(xor(carry,sum)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(xor(carry,sum)))),bind(Y0,$fot(xor(t7,or(a,t4))))]]) ).
cnf(refute_0_4730,plain,
xor(t7,or(a,t4)) = not(xor(carry,sum)),
inference(resolve,[$cnf( $equal(not(xor(carry,sum)),xor(t7,or(a,t4))) )],[refute_0_4728,refute_0_4729]) ).
cnf(refute_0_4731,plain,
( xor(t4,xor(or(sum,t4),or(a,t4))) != not(xor(t7,or(a,t4)))
| xor(t7,or(a,t4)) != not(xor(carry,sum))
| xor(t4,xor(or(sum,t4),or(a,t4))) = not(not(xor(carry,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,xor(or(sum,t4),or(a,t4))),not(xor(t7,or(a,t4)))) ),[1,0],$fot(not(xor(carry,sum)))]]) ).
cnf(refute_0_4732,plain,
( xor(t4,xor(or(sum,t4),or(a,t4))) != not(xor(t7,or(a,t4)))
| xor(t4,xor(or(sum,t4),or(a,t4))) = not(not(xor(carry,sum))) ),
inference(resolve,[$cnf( $equal(xor(t7,or(a,t4)),not(xor(carry,sum))) )],[refute_0_4730,refute_0_4731]) ).
cnf(refute_0_4733,plain,
xor(t4,xor(or(sum,t4),or(a,t4))) = not(not(xor(carry,sum))),
inference(resolve,[$cnf( $equal(xor(t4,xor(or(sum,t4),or(a,t4))),not(xor(t7,or(a,t4)))) )],[refute_0_4507,refute_0_4732]) ).
cnf(refute_0_4734,plain,
xor(X,xor(b,t2)) = xor(xor(X,b),t2),
inference(subst,[],[xor_associative:[bind(Y,$fot(b)),bind(Z,$fot(t2))]]) ).
cnf(refute_0_4735,plain,
( xor(X,xor(b,t2)) != xor(xor(X,b),t2)
| xor(b,t2) != xor(a,t3)
| xor(X,xor(a,t3)) = xor(xor(X,b),t2) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,xor(b,t2)),xor(xor(X,b),t2)) ),[0,1],$fot(xor(a,t3))]]) ).
cnf(refute_0_4736,plain,
( xor(X,xor(b,t2)) != xor(xor(X,b),t2)
| xor(X,xor(a,t3)) = xor(xor(X,b),t2) ),
inference(resolve,[$cnf( $equal(xor(b,t2),xor(a,t3)) )],[refute_0_4596,refute_0_4735]) ).
cnf(refute_0_4737,plain,
xor(X,xor(a,t3)) = xor(xor(X,b),t2),
inference(resolve,[$cnf( $equal(xor(X,xor(b,t2)),xor(xor(X,b),t2)) )],[refute_0_4734,refute_0_4736]) ).
cnf(refute_0_4738,plain,
and(or(b,t4),Y) = and(or(b,t4),Y),
introduced(tautology,[refl,[$fot(and(or(b,t4),Y))]]) ).
cnf(refute_0_4739,plain,
( and(or(b,t4),Y) != and(or(b,t4),Y)
| or(b,t4) != or(a,t4)
| and(or(b,t4),Y) = and(or(a,t4),Y) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(b,t4),Y),and(or(b,t4),Y)) ),[1,0],$fot(or(a,t4))]]) ).
cnf(refute_0_4740,plain,
( or(b,t4) != or(a,t4)
| and(or(b,t4),Y) = and(or(a,t4),Y) ),
inference(resolve,[$cnf( $equal(and(or(b,t4),Y),and(or(b,t4),Y)) )],[refute_0_4738,refute_0_4739]) ).
cnf(refute_0_4741,plain,
and(or(b,t4),Y) = and(or(a,t4),Y),
inference(resolve,[$cnf( $equal(or(b,t4),or(a,t4)) )],[refute_0_3730,refute_0_4740]) ).
cnf(refute_0_4742,plain,
or(and(or(b,t4),Y),not(or(b,or(t4,Y)))) = or(and(or(b,t4),Y),not(or(b,or(t4,Y)))),
introduced(tautology,[refl,[$fot(or(and(or(b,t4),Y),not(or(b,or(t4,Y)))))]]) ).
cnf(refute_0_4743,plain,
( and(or(b,t4),Y) != and(or(a,t4),Y)
| or(and(or(b,t4),Y),not(or(b,or(t4,Y)))) != or(and(or(b,t4),Y),not(or(b,or(t4,Y))))
| or(and(or(b,t4),Y),not(or(b,or(t4,Y)))) = or(and(or(a,t4),Y),not(or(b,or(t4,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(or(b,t4),Y),not(or(b,or(t4,Y)))),or(and(or(b,t4),Y),not(or(b,or(t4,Y))))) ),[1,0],$fot(and(or(a,t4),Y))]]) ).
cnf(refute_0_4744,plain,
( and(or(b,t4),Y) != and(or(a,t4),Y)
| or(and(or(b,t4),Y),not(or(b,or(t4,Y)))) = or(and(or(a,t4),Y),not(or(b,or(t4,Y)))) ),
inference(resolve,[$cnf( $equal(or(and(or(b,t4),Y),not(or(b,or(t4,Y)))),or(and(or(b,t4),Y),not(or(b,or(t4,Y))))) )],[refute_0_4742,refute_0_4743]) ).
cnf(refute_0_4745,plain,
or(and(or(b,t4),Y),not(or(b,or(t4,Y)))) = or(and(or(a,t4),Y),not(or(b,or(t4,Y)))),
inference(resolve,[$cnf( $equal(and(or(b,t4),Y),and(or(a,t4),Y)) )],[refute_0_4741,refute_0_4744]) ).
cnf(refute_0_4746,plain,
( or(and(or(b,t4),Y),not(or(b,or(t4,Y)))) != or(and(or(a,t4),Y),not(or(b,or(t4,Y))))
| or(and(or(b,t4),Y),not(or(b,or(t4,Y)))) != xor(b,xor(t2,Y))
| or(and(or(a,t4),Y),not(or(b,or(t4,Y)))) = xor(b,xor(t2,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(or(b,t4),Y),not(or(b,or(t4,Y)))),xor(b,xor(t2,Y))) ),[0],$fot(or(and(or(a,t4),Y),not(or(b,or(t4,Y)))))]]) ).
cnf(refute_0_4747,plain,
( or(and(or(b,t4),Y),not(or(b,or(t4,Y)))) != xor(b,xor(t2,Y))
| or(and(or(a,t4),Y),not(or(b,or(t4,Y)))) = xor(b,xor(t2,Y)) ),
inference(resolve,[$cnf( $equal(or(and(or(b,t4),Y),not(or(b,or(t4,Y)))),or(and(or(a,t4),Y),not(or(b,or(t4,Y))))) )],[refute_0_4745,refute_0_4746]) ).
cnf(refute_0_4748,plain,
or(and(or(a,t4),Y),not(or(b,or(t4,Y)))) = xor(b,xor(t2,Y)),
inference(resolve,[$cnf( $equal(or(and(or(b,t4),Y),not(or(b,or(t4,Y)))),xor(b,xor(t2,Y))) )],[refute_0_2172,refute_0_4747]) ).
cnf(refute_0_4749,plain,
or(and(xor(a,t3),not(Y)),and(not(xor(a,t3)),Y)) = xor(xor(a,t3),Y),
inference(subst,[],[refute_0_9:[bind(X,$fot(xor(a,t3)))]]) ).
cnf(refute_0_4750,plain,
( not(xor(a,t3)) != or(a,t4)
| or(and(xor(a,t3),not(Y)),and(not(xor(a,t3)),Y)) != xor(xor(a,t3),Y)
| or(and(xor(a,t3),not(Y)),and(or(a,t4),Y)) = xor(xor(a,t3),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(a,t3),not(Y)),and(not(xor(a,t3)),Y)),xor(xor(a,t3),Y)) ),[0,1,0],$fot(or(a,t4))]]) ).
cnf(refute_0_4751,plain,
( or(and(xor(a,t3),not(Y)),and(not(xor(a,t3)),Y)) != xor(xor(a,t3),Y)
| or(and(xor(a,t3),not(Y)),and(or(a,t4),Y)) = xor(xor(a,t3),Y) ),
inference(resolve,[$cnf( $equal(not(xor(a,t3)),or(a,t4)) )],[refute_0_3055,refute_0_4750]) ).
cnf(refute_0_4752,plain,
or(and(xor(a,t3),not(Y)),and(or(a,t4),Y)) = xor(xor(a,t3),Y),
inference(resolve,[$cnf( $equal(or(and(xor(a,t3),not(Y)),and(not(xor(a,t3)),Y)),xor(xor(a,t3),Y)) )],[refute_0_4749,refute_0_4751]) ).
cnf(refute_0_4753,plain,
not(or(or(a,t4),Y)) = and(not(or(a,t4)),not(Y)),
inference(subst,[],[or_demorgan:[bind(X,$fot(or(a,t4)))]]) ).
cnf(refute_0_4754,plain,
( not(or(a,t4)) != xor(a,t3)
| not(or(or(a,t4),Y)) != and(not(or(a,t4)),not(Y))
| not(or(or(a,t4),Y)) = and(xor(a,t3),not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(or(a,t4),Y)),and(not(or(a,t4)),not(Y))) ),[1,0],$fot(xor(a,t3))]]) ).
cnf(refute_0_4755,plain,
( not(or(or(a,t4),Y)) != and(not(or(a,t4)),not(Y))
| not(or(or(a,t4),Y)) = and(xor(a,t3),not(Y)) ),
inference(resolve,[$cnf( $equal(not(or(a,t4)),xor(a,t3)) )],[refute_0_2958,refute_0_4754]) ).
cnf(refute_0_4756,plain,
not(or(or(a,t4),Y)) = and(xor(a,t3),not(Y)),
inference(resolve,[$cnf( $equal(not(or(or(a,t4),Y)),and(not(or(a,t4)),not(Y))) )],[refute_0_4753,refute_0_4755]) ).
cnf(refute_0_4757,plain,
or(or(a,t4),Y) = or(a,or(t4,Y)),
inference(subst,[],[or_associative:[bind(X,$fot(a)),bind(Y,$fot(t4)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_4758,plain,
not(or(or(a,t4),Y)) = not(or(or(a,t4),Y)),
introduced(tautology,[refl,[$fot(not(or(or(a,t4),Y)))]]) ).
cnf(refute_0_4759,plain,
( not(or(or(a,t4),Y)) != not(or(or(a,t4),Y))
| or(or(a,t4),Y) != or(a,or(t4,Y))
| not(or(or(a,t4),Y)) = not(or(a,or(t4,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(or(a,t4),Y)),not(or(or(a,t4),Y))) ),[1,0],$fot(or(a,or(t4,Y)))]]) ).
cnf(refute_0_4760,plain,
( or(or(a,t4),Y) != or(a,or(t4,Y))
| not(or(or(a,t4),Y)) = not(or(a,or(t4,Y))) ),
inference(resolve,[$cnf( $equal(not(or(or(a,t4),Y)),not(or(or(a,t4),Y))) )],[refute_0_4758,refute_0_4759]) ).
cnf(refute_0_4761,plain,
not(or(or(a,t4),Y)) = not(or(a,or(t4,Y))),
inference(resolve,[$cnf( $equal(or(or(a,t4),Y),or(a,or(t4,Y))) )],[refute_0_4757,refute_0_4760]) ).
cnf(refute_0_4762,plain,
( not(or(or(a,t4),Y)) != and(xor(a,t3),not(Y))
| not(or(or(a,t4),Y)) != not(or(a,or(t4,Y)))
| not(or(a,or(t4,Y))) = and(xor(a,t3),not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(or(a,t4),Y)),and(xor(a,t3),not(Y))) ),[0],$fot(not(or(a,or(t4,Y))))]]) ).
cnf(refute_0_4763,plain,
( not(or(or(a,t4),Y)) != and(xor(a,t3),not(Y))
| not(or(a,or(t4,Y))) = and(xor(a,t3),not(Y)) ),
inference(resolve,[$cnf( $equal(not(or(or(a,t4),Y)),not(or(a,or(t4,Y)))) )],[refute_0_4761,refute_0_4762]) ).
cnf(refute_0_4764,plain,
not(or(a,or(t4,Y))) = and(xor(a,t3),not(Y)),
inference(resolve,[$cnf( $equal(not(or(or(a,t4),Y)),and(xor(a,t3),not(Y))) )],[refute_0_4756,refute_0_4763]) ).
cnf(refute_0_4765,plain,
( not(or(a,or(t4,Y))) != and(xor(a,t3),not(Y))
| and(xor(a,t3),not(Y)) = not(or(a,or(t4,Y))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(a,or(t4,Y))))),bind(Y0,$fot(and(xor(a,t3),not(Y))))]]) ).
cnf(refute_0_4766,plain,
and(xor(a,t3),not(Y)) = not(or(a,or(t4,Y))),
inference(resolve,[$cnf( $equal(not(or(a,or(t4,Y))),and(xor(a,t3),not(Y))) )],[refute_0_4764,refute_0_4765]) ).
cnf(refute_0_4767,plain,
or(and(or(a,t4),Y),and(xor(a,t3),not(Y))) = or(and(or(a,t4),Y),and(xor(a,t3),not(Y))),
introduced(tautology,[refl,[$fot(or(and(or(a,t4),Y),and(xor(a,t3),not(Y))))]]) ).
cnf(refute_0_4768,plain,
( and(xor(a,t3),not(Y)) != not(or(a,or(t4,Y)))
| or(and(or(a,t4),Y),and(xor(a,t3),not(Y))) != or(and(or(a,t4),Y),and(xor(a,t3),not(Y)))
| or(and(or(a,t4),Y),and(xor(a,t3),not(Y))) = or(and(or(a,t4),Y),not(or(a,or(t4,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(or(a,t4),Y),and(xor(a,t3),not(Y))),or(and(or(a,t4),Y),and(xor(a,t3),not(Y)))) ),[1,1],$fot(not(or(a,or(t4,Y))))]]) ).
cnf(refute_0_4769,plain,
( and(xor(a,t3),not(Y)) != not(or(a,or(t4,Y)))
| or(and(or(a,t4),Y),and(xor(a,t3),not(Y))) = or(and(or(a,t4),Y),not(or(a,or(t4,Y)))) ),
inference(resolve,[$cnf( $equal(or(and(or(a,t4),Y),and(xor(a,t3),not(Y))),or(and(or(a,t4),Y),and(xor(a,t3),not(Y)))) )],[refute_0_4767,refute_0_4768]) ).
cnf(refute_0_4770,plain,
or(and(or(a,t4),Y),and(xor(a,t3),not(Y))) = or(and(or(a,t4),Y),not(or(a,or(t4,Y)))),
inference(resolve,[$cnf( $equal(and(xor(a,t3),not(Y)),not(or(a,or(t4,Y)))) )],[refute_0_4766,refute_0_4769]) ).
cnf(refute_0_4771,plain,
or(and(xor(a,t3),not(Y)),and(or(a,t4),Y)) = or(and(or(a,t4),Y),and(xor(a,t3),not(Y))),
inference(subst,[],[refute_0_5:[bind(X,$fot(and(or(a,t4),Y))),bind(Y,$fot(and(xor(a,t3),not(Y))))]]) ).
cnf(refute_0_4772,plain,
( or(and(or(a,t4),Y),and(xor(a,t3),not(Y))) != or(and(or(a,t4),Y),not(or(a,or(t4,Y))))
| or(and(xor(a,t3),not(Y)),and(or(a,t4),Y)) != or(and(or(a,t4),Y),and(xor(a,t3),not(Y)))
| or(and(xor(a,t3),not(Y)),and(or(a,t4),Y)) = or(and(or(a,t4),Y),not(or(a,or(t4,Y)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(xor(a,t3),not(Y)),and(or(a,t4),Y)))),bind(Y0,$fot(or(and(or(a,t4),Y),and(xor(a,t3),not(Y))))),bind(Z0,$fot(or(and(or(a,t4),Y),not(or(a,or(t4,Y))))))]]) ).
cnf(refute_0_4773,plain,
( or(and(or(a,t4),Y),and(xor(a,t3),not(Y))) != or(and(or(a,t4),Y),not(or(a,or(t4,Y))))
| or(and(xor(a,t3),not(Y)),and(or(a,t4),Y)) = or(and(or(a,t4),Y),not(or(a,or(t4,Y)))) ),
inference(resolve,[$cnf( $equal(or(and(xor(a,t3),not(Y)),and(or(a,t4),Y)),or(and(or(a,t4),Y),and(xor(a,t3),not(Y)))) )],[refute_0_4771,refute_0_4772]) ).
cnf(refute_0_4774,plain,
or(and(xor(a,t3),not(Y)),and(or(a,t4),Y)) = or(and(or(a,t4),Y),not(or(a,or(t4,Y)))),
inference(resolve,[$cnf( $equal(or(and(or(a,t4),Y),and(xor(a,t3),not(Y))),or(and(or(a,t4),Y),not(or(a,or(t4,Y))))) )],[refute_0_4770,refute_0_4773]) ).
cnf(refute_0_4775,plain,
( or(and(xor(a,t3),not(Y)),and(or(a,t4),Y)) != or(and(or(a,t4),Y),not(or(a,or(t4,Y))))
| or(and(xor(a,t3),not(Y)),and(or(a,t4),Y)) != xor(xor(a,t3),Y)
| or(and(or(a,t4),Y),not(or(a,or(t4,Y)))) = xor(xor(a,t3),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(a,t3),not(Y)),and(or(a,t4),Y)),xor(xor(a,t3),Y)) ),[0],$fot(or(and(or(a,t4),Y),not(or(a,or(t4,Y)))))]]) ).
cnf(refute_0_4776,plain,
( or(and(xor(a,t3),not(Y)),and(or(a,t4),Y)) != xor(xor(a,t3),Y)
| or(and(or(a,t4),Y),not(or(a,or(t4,Y)))) = xor(xor(a,t3),Y) ),
inference(resolve,[$cnf( $equal(or(and(xor(a,t3),not(Y)),and(or(a,t4),Y)),or(and(or(a,t4),Y),not(or(a,or(t4,Y))))) )],[refute_0_4774,refute_0_4775]) ).
cnf(refute_0_4777,plain,
xor(xor(a,t3),Y) = xor(a,xor(t3,Y)),
inference(subst,[],[refute_0_526:[bind(X,$fot(a)),bind(Y,$fot(t3)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_4778,plain,
( or(and(or(a,t4),Y),not(or(a,or(t4,Y)))) != xor(xor(a,t3),Y)
| xor(xor(a,t3),Y) != xor(a,xor(t3,Y))
| or(and(or(a,t4),Y),not(or(a,or(t4,Y)))) = xor(a,xor(t3,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(and(or(a,t4),Y),not(or(a,or(t4,Y)))),xor(a,xor(t3,Y))) ),[0],$fot(xor(xor(a,t3),Y))]]) ).
cnf(refute_0_4779,plain,
( or(and(or(a,t4),Y),not(or(a,or(t4,Y)))) != xor(xor(a,t3),Y)
| or(and(or(a,t4),Y),not(or(a,or(t4,Y)))) = xor(a,xor(t3,Y)) ),
inference(resolve,[$cnf( $equal(xor(xor(a,t3),Y),xor(a,xor(t3,Y))) )],[refute_0_4777,refute_0_4778]) ).
cnf(refute_0_4780,plain,
( or(and(xor(a,t3),not(Y)),and(or(a,t4),Y)) != xor(xor(a,t3),Y)
| or(and(or(a,t4),Y),not(or(a,or(t4,Y)))) = xor(a,xor(t3,Y)) ),
inference(resolve,[$cnf( $equal(or(and(or(a,t4),Y),not(or(a,or(t4,Y)))),xor(xor(a,t3),Y)) )],[refute_0_4776,refute_0_4779]) ).
cnf(refute_0_4781,plain,
or(and(or(a,t4),Y),not(or(a,or(t4,Y)))) = xor(a,xor(t3,Y)),
inference(resolve,[$cnf( $equal(or(and(xor(a,t3),not(Y)),and(or(a,t4),Y)),xor(xor(a,t3),Y)) )],[refute_0_4752,refute_0_4780]) ).
cnf(refute_0_4782,plain,
and(xor(a,t3),not(X_26)) = not(or(a,or(t4,X_26))),
inference(subst,[],[refute_0_4766:[bind(Y,$fot(X_26))]]) ).
cnf(refute_0_4783,plain,
and(xor(b,t2),not(X_26)) = and(xor(b,t2),not(X_26)),
introduced(tautology,[refl,[$fot(and(xor(b,t2),not(X_26)))]]) ).
cnf(refute_0_4784,plain,
( and(xor(b,t2),not(X_26)) != and(xor(b,t2),not(X_26))
| xor(b,t2) != xor(a,t3)
| and(xor(b,t2),not(X_26)) = and(xor(a,t3),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(b,t2),not(X_26)),and(xor(b,t2),not(X_26))) ),[1,0],$fot(xor(a,t3))]]) ).
cnf(refute_0_4785,plain,
( xor(b,t2) != xor(a,t3)
| and(xor(b,t2),not(X_26)) = and(xor(a,t3),not(X_26)) ),
inference(resolve,[$cnf( $equal(and(xor(b,t2),not(X_26)),and(xor(b,t2),not(X_26))) )],[refute_0_4783,refute_0_4784]) ).
cnf(refute_0_4786,plain,
and(xor(b,t2),not(X_26)) = and(xor(a,t3),not(X_26)),
inference(resolve,[$cnf( $equal(xor(b,t2),xor(a,t3)) )],[refute_0_4596,refute_0_4785]) ).
cnf(refute_0_4787,plain,
( and(xor(a,t3),not(X_26)) != not(or(a,or(t4,X_26)))
| and(xor(b,t2),not(X_26)) != and(xor(a,t3),not(X_26))
| and(xor(b,t2),not(X_26)) = not(or(a,or(t4,X_26))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(xor(b,t2),not(X_26)))),bind(Y0,$fot(and(xor(a,t3),not(X_26)))),bind(Z0,$fot(not(or(a,or(t4,X_26)))))]]) ).
cnf(refute_0_4788,plain,
( and(xor(a,t3),not(X_26)) != not(or(a,or(t4,X_26)))
| and(xor(b,t2),not(X_26)) = not(or(a,or(t4,X_26))) ),
inference(resolve,[$cnf( $equal(and(xor(b,t2),not(X_26)),and(xor(a,t3),not(X_26))) )],[refute_0_4786,refute_0_4787]) ).
cnf(refute_0_4789,plain,
and(xor(b,t2),not(X_26)) = not(or(a,or(t4,X_26))),
inference(resolve,[$cnf( $equal(and(xor(a,t3),not(X_26)),not(or(a,or(t4,X_26)))) )],[refute_0_4782,refute_0_4788]) ).
cnf(refute_0_4790,plain,
( and(xor(b,t2),not(X_26)) != not(or(a,or(t4,X_26)))
| not(or(b,or(t4,X_26))) != and(xor(b,t2),not(X_26))
| not(or(b,or(t4,X_26))) = not(or(a,or(t4,X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(b,or(t4,X_26))),and(xor(b,t2),not(X_26))) ),[1],$fot(not(or(a,or(t4,X_26))))]]) ).
cnf(refute_0_4791,plain,
( not(or(b,or(t4,X_26))) != and(xor(b,t2),not(X_26))
| not(or(b,or(t4,X_26))) = not(or(a,or(t4,X_26))) ),
inference(resolve,[$cnf( $equal(and(xor(b,t2),not(X_26)),not(or(a,or(t4,X_26)))) )],[refute_0_4789,refute_0_4790]) ).
cnf(refute_0_4792,plain,
not(or(b,or(t4,X_26))) = not(or(a,or(t4,X_26))),
inference(resolve,[$cnf( $equal(not(or(b,or(t4,X_26))),and(xor(b,t2),not(X_26))) )],[refute_0_2162,refute_0_4791]) ).
cnf(refute_0_4793,plain,
not(or(b,or(t4,Y))) = not(or(a,or(t4,Y))),
inference(subst,[],[refute_0_4792:[bind(X_26,$fot(Y))]]) ).
cnf(refute_0_4794,plain,
or(and(or(a,t4),Y),not(or(b,or(t4,Y)))) = or(and(or(a,t4),Y),not(or(b,or(t4,Y)))),
introduced(tautology,[refl,[$fot(or(and(or(a,t4),Y),not(or(b,or(t4,Y)))))]]) ).
cnf(refute_0_4795,plain,
( not(or(b,or(t4,Y))) != not(or(a,or(t4,Y)))
| or(and(or(a,t4),Y),not(or(b,or(t4,Y)))) != or(and(or(a,t4),Y),not(or(b,or(t4,Y))))
| or(and(or(a,t4),Y),not(or(b,or(t4,Y)))) = or(and(or(a,t4),Y),not(or(a,or(t4,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(or(a,t4),Y),not(or(b,or(t4,Y)))),or(and(or(a,t4),Y),not(or(b,or(t4,Y))))) ),[1,1],$fot(not(or(a,or(t4,Y))))]]) ).
cnf(refute_0_4796,plain,
( not(or(b,or(t4,Y))) != not(or(a,or(t4,Y)))
| or(and(or(a,t4),Y),not(or(b,or(t4,Y)))) = or(and(or(a,t4),Y),not(or(a,or(t4,Y)))) ),
inference(resolve,[$cnf( $equal(or(and(or(a,t4),Y),not(or(b,or(t4,Y)))),or(and(or(a,t4),Y),not(or(b,or(t4,Y))))) )],[refute_0_4794,refute_0_4795]) ).
cnf(refute_0_4797,plain,
or(and(or(a,t4),Y),not(or(b,or(t4,Y)))) = or(and(or(a,t4),Y),not(or(a,or(t4,Y)))),
inference(resolve,[$cnf( $equal(not(or(b,or(t4,Y))),not(or(a,or(t4,Y)))) )],[refute_0_4793,refute_0_4796]) ).
cnf(refute_0_4798,plain,
( or(and(or(a,t4),Y),not(or(a,or(t4,Y)))) != xor(a,xor(t3,Y))
| or(and(or(a,t4),Y),not(or(b,or(t4,Y)))) != or(and(or(a,t4),Y),not(or(a,or(t4,Y))))
| or(and(or(a,t4),Y),not(or(b,or(t4,Y)))) = xor(a,xor(t3,Y)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(or(a,t4),Y),not(or(b,or(t4,Y)))))),bind(Y0,$fot(or(and(or(a,t4),Y),not(or(a,or(t4,Y)))))),bind(Z0,$fot(xor(a,xor(t3,Y))))]]) ).
cnf(refute_0_4799,plain,
( or(and(or(a,t4),Y),not(or(a,or(t4,Y)))) != xor(a,xor(t3,Y))
| or(and(or(a,t4),Y),not(or(b,or(t4,Y)))) = xor(a,xor(t3,Y)) ),
inference(resolve,[$cnf( $equal(or(and(or(a,t4),Y),not(or(b,or(t4,Y)))),or(and(or(a,t4),Y),not(or(a,or(t4,Y))))) )],[refute_0_4797,refute_0_4798]) ).
cnf(refute_0_4800,plain,
or(and(or(a,t4),Y),not(or(b,or(t4,Y)))) = xor(a,xor(t3,Y)),
inference(resolve,[$cnf( $equal(or(and(or(a,t4),Y),not(or(a,or(t4,Y)))),xor(a,xor(t3,Y))) )],[refute_0_4781,refute_0_4799]) ).
cnf(refute_0_4801,plain,
( or(and(or(a,t4),Y),not(or(b,or(t4,Y)))) != xor(a,xor(t3,Y))
| or(and(or(a,t4),Y),not(or(b,or(t4,Y)))) != xor(b,xor(t2,Y))
| xor(a,xor(t3,Y)) = xor(b,xor(t2,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(or(a,t4),Y),not(or(b,or(t4,Y)))),xor(b,xor(t2,Y))) ),[0],$fot(xor(a,xor(t3,Y)))]]) ).
cnf(refute_0_4802,plain,
( or(and(or(a,t4),Y),not(or(b,or(t4,Y)))) != xor(b,xor(t2,Y))
| xor(a,xor(t3,Y)) = xor(b,xor(t2,Y)) ),
inference(resolve,[$cnf( $equal(or(and(or(a,t4),Y),not(or(b,or(t4,Y)))),xor(a,xor(t3,Y))) )],[refute_0_4800,refute_0_4801]) ).
cnf(refute_0_4803,plain,
xor(a,xor(t3,Y)) = xor(b,xor(t2,Y)),
inference(resolve,[$cnf( $equal(or(and(or(a,t4),Y),not(or(b,or(t4,Y)))),xor(b,xor(t2,Y))) )],[refute_0_4748,refute_0_4802]) ).
cnf(refute_0_4804,plain,
( xor(a,xor(t3,Y)) != xor(b,xor(t2,Y))
| xor(b,xor(t2,Y)) = xor(a,xor(t3,Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(a,xor(t3,Y)))),bind(Y0,$fot(xor(b,xor(t2,Y))))]]) ).
cnf(refute_0_4805,plain,
xor(b,xor(t2,Y)) = xor(a,xor(t3,Y)),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,Y)),xor(b,xor(t2,Y))) )],[refute_0_4803,refute_0_4804]) ).
cnf(refute_0_4806,plain,
xor(b,xor(t2,X)) = xor(a,xor(t3,X)),
inference(subst,[],[refute_0_4805:[bind(Y,$fot(X))]]) ).
cnf(refute_0_4807,plain,
xor(t2,xor(X,b)) = xor(b,xor(t2,X)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(b)),bind(X_333,$fot(t2)),bind(X_334,$fot(X))]]) ).
cnf(refute_0_4808,plain,
( xor(b,xor(t2,X)) != xor(a,xor(t3,X))
| xor(t2,xor(X,b)) != xor(b,xor(t2,X))
| xor(t2,xor(X,b)) = xor(a,xor(t3,X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,xor(X,b)))),bind(Y0,$fot(xor(b,xor(t2,X)))),bind(Z0,$fot(xor(a,xor(t3,X))))]]) ).
cnf(refute_0_4809,plain,
( xor(b,xor(t2,X)) != xor(a,xor(t3,X))
| xor(t2,xor(X,b)) = xor(a,xor(t3,X)) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(X,b)),xor(b,xor(t2,X))) )],[refute_0_4807,refute_0_4808]) ).
cnf(refute_0_4810,plain,
xor(t2,xor(X,b)) = xor(a,xor(t3,X)),
inference(resolve,[$cnf( $equal(xor(b,xor(t2,X)),xor(a,xor(t3,X))) )],[refute_0_4806,refute_0_4809]) ).
cnf(refute_0_4811,plain,
xor(X,xor(b,xor(carry,t6))) = xor(xor(X,b),xor(carry,t6)),
inference(subst,[],[xor_associative:[bind(Y,$fot(b)),bind(Z,$fot(xor(carry,t6)))]]) ).
cnf(refute_0_4812,plain,
( xor(X,xor(b,xor(carry,t6))) != xor(xor(X,b),xor(carry,t6))
| xor(b,xor(carry,t6)) != xor(t3,t4)
| xor(X,xor(t3,t4)) = xor(xor(X,b),xor(carry,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,xor(b,xor(carry,t6))),xor(xor(X,b),xor(carry,t6))) ),[0,1],$fot(xor(t3,t4))]]) ).
cnf(refute_0_4813,plain,
( xor(X,xor(b,xor(carry,t6))) != xor(xor(X,b),xor(carry,t6))
| xor(X,xor(t3,t4)) = xor(xor(X,b),xor(carry,t6)) ),
inference(resolve,[$cnf( $equal(xor(b,xor(carry,t6)),xor(t3,t4)) )],[refute_0_1499,refute_0_4812]) ).
cnf(refute_0_4814,plain,
xor(X,xor(t3,t4)) = xor(xor(X,b),xor(carry,t6)),
inference(resolve,[$cnf( $equal(xor(X,xor(b,xor(carry,t6))),xor(xor(X,b),xor(carry,t6))) )],[refute_0_4811,refute_0_4813]) ).
cnf(refute_0_4815,plain,
xor(b,xor(carry,xor(t6,X))) = xor(t3,xor(t4,X)),
inference(subst,[],[refute_0_1514:[bind(Z,$fot(X))]]) ).
cnf(refute_0_4816,plain,
xor(carry,xor(b,xor(t6,X))) = xor(b,xor(carry,xor(t6,X))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(b)),bind(X_334,$fot(carry)),bind(X_335,$fot(xor(t6,X)))]]) ).
cnf(refute_0_4817,plain,
( xor(b,xor(carry,xor(t6,X))) != xor(t3,xor(t4,X))
| xor(carry,xor(b,xor(t6,X))) != xor(b,xor(carry,xor(t6,X)))
| xor(carry,xor(b,xor(t6,X))) = xor(t3,xor(t4,X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(carry,xor(b,xor(t6,X))))),bind(Y0,$fot(xor(b,xor(carry,xor(t6,X))))),bind(Z0,$fot(xor(t3,xor(t4,X))))]]) ).
cnf(refute_0_4818,plain,
( xor(b,xor(carry,xor(t6,X))) != xor(t3,xor(t4,X))
| xor(carry,xor(b,xor(t6,X))) = xor(t3,xor(t4,X)) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(b,xor(t6,X))),xor(b,xor(carry,xor(t6,X)))) )],[refute_0_4816,refute_0_4817]) ).
cnf(refute_0_4819,plain,
xor(carry,xor(b,xor(t6,X))) = xor(t3,xor(t4,X)),
inference(resolve,[$cnf( $equal(xor(b,xor(carry,xor(t6,X))),xor(t3,xor(t4,X))) )],[refute_0_4815,refute_0_4818]) ).
cnf(refute_0_4820,plain,
xor(t6,xor(X,b)) = xor(b,xor(t6,X)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(b)),bind(X_333,$fot(t6)),bind(X_334,$fot(X))]]) ).
cnf(refute_0_4821,plain,
xor(carry,xor(t6,xor(X,b))) = xor(carry,xor(t6,xor(X,b))),
introduced(tautology,[refl,[$fot(xor(carry,xor(t6,xor(X,b))))]]) ).
cnf(refute_0_4822,plain,
( xor(carry,xor(t6,xor(X,b))) != xor(carry,xor(t6,xor(X,b)))
| xor(t6,xor(X,b)) != xor(b,xor(t6,X))
| xor(carry,xor(t6,xor(X,b))) = xor(carry,xor(b,xor(t6,X))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(t6,xor(X,b))),xor(carry,xor(t6,xor(X,b)))) ),[1,1],$fot(xor(b,xor(t6,X)))]]) ).
cnf(refute_0_4823,plain,
( xor(t6,xor(X,b)) != xor(b,xor(t6,X))
| xor(carry,xor(t6,xor(X,b))) = xor(carry,xor(b,xor(t6,X))) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(t6,xor(X,b))),xor(carry,xor(t6,xor(X,b)))) )],[refute_0_4821,refute_0_4822]) ).
cnf(refute_0_4824,plain,
xor(carry,xor(t6,xor(X,b))) = xor(carry,xor(b,xor(t6,X))),
inference(resolve,[$cnf( $equal(xor(t6,xor(X,b)),xor(b,xor(t6,X))) )],[refute_0_4820,refute_0_4823]) ).
cnf(refute_0_4825,plain,
( xor(carry,xor(b,xor(t6,X))) != xor(t3,xor(t4,X))
| xor(carry,xor(t6,xor(X,b))) != xor(carry,xor(b,xor(t6,X)))
| xor(carry,xor(t6,xor(X,b))) = xor(t3,xor(t4,X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(carry,xor(t6,xor(X,b))))),bind(Y0,$fot(xor(carry,xor(b,xor(t6,X))))),bind(Z0,$fot(xor(t3,xor(t4,X))))]]) ).
cnf(refute_0_4826,plain,
( xor(carry,xor(b,xor(t6,X))) != xor(t3,xor(t4,X))
| xor(carry,xor(t6,xor(X,b))) = xor(t3,xor(t4,X)) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(t6,xor(X,b))),xor(carry,xor(b,xor(t6,X)))) )],[refute_0_4824,refute_0_4825]) ).
cnf(refute_0_4827,plain,
xor(carry,xor(t6,xor(X,b))) = xor(t3,xor(t4,X)),
inference(resolve,[$cnf( $equal(xor(carry,xor(b,xor(t6,X))),xor(t3,xor(t4,X))) )],[refute_0_4819,refute_0_4826]) ).
cnf(refute_0_4828,plain,
xor(carry,xor(xor(X,b),t6)) = xor(carry,xor(t6,xor(X,b))),
inference(subst,[],[refute_0_2105:[bind(X_333,$fot(carry)),bind(X_334,$fot(xor(X,b))),bind(X_335,$fot(t6))]]) ).
cnf(refute_0_4829,plain,
xor(xor(X,b),xor(carry,t6)) = xor(carry,xor(xor(X,b),t6)),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(carry)),bind(X_334,$fot(xor(X,b))),bind(X_335,$fot(t6))]]) ).
cnf(refute_0_4830,plain,
( xor(carry,xor(xor(X,b),t6)) != xor(carry,xor(t6,xor(X,b)))
| xor(xor(X,b),xor(carry,t6)) != xor(carry,xor(xor(X,b),t6))
| xor(xor(X,b),xor(carry,t6)) = xor(carry,xor(t6,xor(X,b))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X,b),xor(carry,t6)))),bind(Y0,$fot(xor(carry,xor(xor(X,b),t6)))),bind(Z0,$fot(xor(carry,xor(t6,xor(X,b)))))]]) ).
cnf(refute_0_4831,plain,
( xor(carry,xor(xor(X,b),t6)) != xor(carry,xor(t6,xor(X,b)))
| xor(xor(X,b),xor(carry,t6)) = xor(carry,xor(t6,xor(X,b))) ),
inference(resolve,[$cnf( $equal(xor(xor(X,b),xor(carry,t6)),xor(carry,xor(xor(X,b),t6))) )],[refute_0_4829,refute_0_4830]) ).
cnf(refute_0_4832,plain,
xor(xor(X,b),xor(carry,t6)) = xor(carry,xor(t6,xor(X,b))),
inference(resolve,[$cnf( $equal(xor(carry,xor(xor(X,b),t6)),xor(carry,xor(t6,xor(X,b)))) )],[refute_0_4828,refute_0_4831]) ).
cnf(refute_0_4833,plain,
( xor(carry,xor(t6,xor(X,b))) != xor(t3,xor(t4,X))
| xor(xor(X,b),xor(carry,t6)) != xor(carry,xor(t6,xor(X,b)))
| xor(xor(X,b),xor(carry,t6)) = xor(t3,xor(t4,X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X,b),xor(carry,t6)))),bind(Y0,$fot(xor(carry,xor(t6,xor(X,b))))),bind(Z0,$fot(xor(t3,xor(t4,X))))]]) ).
cnf(refute_0_4834,plain,
( xor(carry,xor(t6,xor(X,b))) != xor(t3,xor(t4,X))
| xor(xor(X,b),xor(carry,t6)) = xor(t3,xor(t4,X)) ),
inference(resolve,[$cnf( $equal(xor(xor(X,b),xor(carry,t6)),xor(carry,xor(t6,xor(X,b)))) )],[refute_0_4832,refute_0_4833]) ).
cnf(refute_0_4835,plain,
xor(xor(X,b),xor(carry,t6)) = xor(t3,xor(t4,X)),
inference(resolve,[$cnf( $equal(xor(carry,xor(t6,xor(X,b))),xor(t3,xor(t4,X))) )],[refute_0_4827,refute_0_4834]) ).
cnf(refute_0_4836,plain,
( xor(X,xor(t3,t4)) != xor(xor(X,b),xor(carry,t6))
| xor(xor(X,b),xor(carry,t6)) != xor(t3,xor(t4,X))
| xor(X,xor(t3,t4)) = xor(t3,xor(t4,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(X,xor(t3,t4)),xor(t3,xor(t4,X))) ),[0],$fot(xor(xor(X,b),xor(carry,t6)))]]) ).
cnf(refute_0_4837,plain,
( xor(X,xor(t3,t4)) != xor(xor(X,b),xor(carry,t6))
| xor(X,xor(t3,t4)) = xor(t3,xor(t4,X)) ),
inference(resolve,[$cnf( $equal(xor(xor(X,b),xor(carry,t6)),xor(t3,xor(t4,X))) )],[refute_0_4835,refute_0_4836]) ).
cnf(refute_0_4838,plain,
xor(X,xor(t3,t4)) = xor(t3,xor(t4,X)),
inference(resolve,[$cnf( $equal(xor(X,xor(t3,t4)),xor(xor(X,b),xor(carry,t6))) )],[refute_0_4814,refute_0_4837]) ).
cnf(refute_0_4839,plain,
xor(b,xor(carry,t6)) = xor(b,xor(carry,t6)),
introduced(tautology,[refl,[$fot(xor(b,xor(carry,t6)))]]) ).
cnf(refute_0_4840,plain,
( xor(b,xor(carry,t6)) != xor(b,xor(carry,t6))
| xor(carry,t6) != xor(b,t2)
| xor(b,xor(carry,t6)) = xor(b,xor(b,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,xor(carry,t6)),xor(b,xor(carry,t6))) ),[1,1],$fot(xor(b,t2))]]) ).
cnf(refute_0_4841,plain,
( xor(carry,t6) != xor(b,t2)
| xor(b,xor(carry,t6)) = xor(b,xor(b,t2)) ),
inference(resolve,[$cnf( $equal(xor(b,xor(carry,t6)),xor(b,xor(carry,t6))) )],[refute_0_4839,refute_0_4840]) ).
cnf(refute_0_4842,plain,
xor(b,xor(carry,t6)) = xor(b,xor(b,t2)),
inference(resolve,[$cnf( $equal(xor(carry,t6),xor(b,t2)) )],[refute_0_2228,refute_0_4841]) ).
cnf(refute_0_4843,plain,
( xor(b,xor(b,t2)) != t2
| xor(b,xor(carry,t6)) != xor(b,xor(b,t2))
| xor(b,xor(carry,t6)) = t2 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(b,xor(carry,t6)))),bind(Y0,$fot(xor(b,xor(b,t2)))),bind(Z0,$fot(t2))]]) ).
cnf(refute_0_4844,plain,
( xor(b,xor(b,t2)) != t2
| xor(b,xor(carry,t6)) = t2 ),
inference(resolve,[$cnf( $equal(xor(b,xor(carry,t6)),xor(b,xor(b,t2))) )],[refute_0_4842,refute_0_4843]) ).
cnf(refute_0_4845,plain,
xor(b,xor(carry,t6)) = t2,
inference(resolve,[$cnf( $equal(xor(b,xor(b,t2)),t2) )],[refute_0_3612,refute_0_4844]) ).
cnf(refute_0_4846,plain,
( xor(b,xor(carry,t6)) != t2
| xor(b,xor(carry,t6)) != xor(t3,t4)
| t2 = xor(t3,t4) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,xor(carry,t6)),xor(t3,t4)) ),[0],$fot(t2)]]) ).
cnf(refute_0_4847,plain,
( xor(b,xor(carry,t6)) != xor(t3,t4)
| t2 = xor(t3,t4) ),
inference(resolve,[$cnf( $equal(xor(b,xor(carry,t6)),t2) )],[refute_0_4845,refute_0_4846]) ).
cnf(refute_0_4848,plain,
t2 = xor(t3,t4),
inference(resolve,[$cnf( $equal(xor(b,xor(carry,t6)),xor(t3,t4)) )],[refute_0_1499,refute_0_4847]) ).
cnf(refute_0_4849,plain,
( t2 != xor(t3,t4)
| xor(t3,t4) = t2 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(t2)),bind(Y0,$fot(xor(t3,t4)))]]) ).
cnf(refute_0_4850,plain,
xor(t3,t4) = t2,
inference(resolve,[$cnf( $equal(t2,xor(t3,t4)) )],[refute_0_4848,refute_0_4849]) ).
cnf(refute_0_4851,plain,
xor(X,xor(t3,t4)) = xor(X,xor(t3,t4)),
introduced(tautology,[refl,[$fot(xor(X,xor(t3,t4)))]]) ).
cnf(refute_0_4852,plain,
( xor(X,xor(t3,t4)) != xor(X,xor(t3,t4))
| xor(t3,t4) != t2
| xor(X,xor(t3,t4)) = xor(X,t2) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,xor(t3,t4)),xor(X,xor(t3,t4))) ),[1,1],$fot(t2)]]) ).
cnf(refute_0_4853,plain,
( xor(t3,t4) != t2
| xor(X,xor(t3,t4)) = xor(X,t2) ),
inference(resolve,[$cnf( $equal(xor(X,xor(t3,t4)),xor(X,xor(t3,t4))) )],[refute_0_4851,refute_0_4852]) ).
cnf(refute_0_4854,plain,
xor(X,xor(t3,t4)) = xor(X,t2),
inference(resolve,[$cnf( $equal(xor(t3,t4),t2) )],[refute_0_4850,refute_0_4853]) ).
cnf(refute_0_4855,plain,
( xor(X,xor(t3,t4)) != xor(X,t2)
| xor(X,xor(t3,t4)) != xor(t3,xor(t4,X))
| xor(X,t2) = xor(t3,xor(t4,X)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,xor(t3,t4)),xor(t3,xor(t4,X))) ),[0],$fot(xor(X,t2))]]) ).
cnf(refute_0_4856,plain,
( xor(X,xor(t3,t4)) != xor(t3,xor(t4,X))
| xor(X,t2) = xor(t3,xor(t4,X)) ),
inference(resolve,[$cnf( $equal(xor(X,xor(t3,t4)),xor(X,t2)) )],[refute_0_4854,refute_0_4855]) ).
cnf(refute_0_4857,plain,
xor(t3,xor(t4,X)) = xor(t2,X),
inference(subst,[],[refute_0_2264:[bind(Z,$fot(X))]]) ).
cnf(refute_0_4858,plain,
( xor(X,t2) != xor(t3,xor(t4,X))
| xor(t3,xor(t4,X)) != xor(t2,X)
| xor(X,t2) = xor(t2,X) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(X,t2),xor(t2,X)) ),[0],$fot(xor(t3,xor(t4,X)))]]) ).
cnf(refute_0_4859,plain,
( xor(X,t2) != xor(t3,xor(t4,X))
| xor(X,t2) = xor(t2,X) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(t4,X)),xor(t2,X)) )],[refute_0_4857,refute_0_4858]) ).
cnf(refute_0_4860,plain,
( xor(X,xor(t3,t4)) != xor(t3,xor(t4,X))
| xor(X,t2) = xor(t2,X) ),
inference(resolve,[$cnf( $equal(xor(X,t2),xor(t3,xor(t4,X))) )],[refute_0_4856,refute_0_4859]) ).
cnf(refute_0_4861,plain,
xor(X,t2) = xor(t2,X),
inference(resolve,[$cnf( $equal(xor(X,xor(t3,t4)),xor(t3,xor(t4,X))) )],[refute_0_4838,refute_0_4860]) ).
cnf(refute_0_4862,plain,
xor(xor(X,b),t2) = xor(t2,xor(X,b)),
inference(subst,[],[refute_0_4861:[bind(X,$fot(xor(X,b)))]]) ).
cnf(refute_0_4863,plain,
( xor(t2,xor(X,b)) != xor(a,xor(t3,X))
| xor(xor(X,b),t2) != xor(t2,xor(X,b))
| xor(xor(X,b),t2) = xor(a,xor(t3,X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X,b),t2))),bind(Y0,$fot(xor(t2,xor(X,b)))),bind(Z0,$fot(xor(a,xor(t3,X))))]]) ).
cnf(refute_0_4864,plain,
( xor(t2,xor(X,b)) != xor(a,xor(t3,X))
| xor(xor(X,b),t2) = xor(a,xor(t3,X)) ),
inference(resolve,[$cnf( $equal(xor(xor(X,b),t2),xor(t2,xor(X,b))) )],[refute_0_4862,refute_0_4863]) ).
cnf(refute_0_4865,plain,
xor(xor(X,b),t2) = xor(a,xor(t3,X)),
inference(resolve,[$cnf( $equal(xor(t2,xor(X,b)),xor(a,xor(t3,X))) )],[refute_0_4810,refute_0_4864]) ).
cnf(refute_0_4866,plain,
( xor(X,xor(a,t3)) != xor(xor(X,b),t2)
| xor(xor(X,b),t2) != xor(a,xor(t3,X))
| xor(X,xor(a,t3)) = xor(a,xor(t3,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(X,xor(a,t3)),xor(a,xor(t3,X))) ),[0],$fot(xor(xor(X,b),t2))]]) ).
cnf(refute_0_4867,plain,
( xor(X,xor(a,t3)) != xor(xor(X,b),t2)
| xor(X,xor(a,t3)) = xor(a,xor(t3,X)) ),
inference(resolve,[$cnf( $equal(xor(xor(X,b),t2),xor(a,xor(t3,X))) )],[refute_0_4865,refute_0_4866]) ).
cnf(refute_0_4868,plain,
xor(X,xor(a,t3)) = xor(a,xor(t3,X)),
inference(resolve,[$cnf( $equal(xor(X,xor(a,t3)),xor(xor(X,b),t2)) )],[refute_0_4737,refute_0_4867]) ).
cnf(refute_0_4869,plain,
xor(t7,xor(a,t3)) = xor(a,xor(t3,t7)),
inference(subst,[],[refute_0_4868:[bind(X,$fot(t7))]]) ).
cnf(refute_0_4870,plain,
not(xor(X,or(b,t4))) = not(xor(X,or(b,t4))),
introduced(tautology,[refl,[$fot(not(xor(X,or(b,t4))))]]) ).
cnf(refute_0_4871,plain,
( not(xor(X,or(b,t4))) != not(xor(X,or(b,t4)))
| xor(X,or(b,t4)) != xor(X,or(a,t4))
| not(xor(X,or(b,t4))) = not(xor(X,or(a,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(X,or(b,t4))),not(xor(X,or(b,t4)))) ),[1,0],$fot(xor(X,or(a,t4)))]]) ).
cnf(refute_0_4872,plain,
( xor(X,or(b,t4)) != xor(X,or(a,t4))
| not(xor(X,or(b,t4))) = not(xor(X,or(a,t4))) ),
inference(resolve,[$cnf( $equal(not(xor(X,or(b,t4))),not(xor(X,or(b,t4)))) )],[refute_0_4870,refute_0_4871]) ).
cnf(refute_0_4873,plain,
not(xor(X,or(b,t4))) = not(xor(X,or(a,t4))),
inference(resolve,[$cnf( $equal(xor(X,or(b,t4)),xor(X,or(a,t4))) )],[refute_0_4660,refute_0_4872]) ).
cnf(refute_0_4874,plain,
( not(xor(X,or(b,t4))) != not(xor(X,or(a,t4)))
| not(xor(X,or(b,t4))) != xor(X,xor(b,t2))
| not(xor(X,or(a,t4))) = xor(X,xor(b,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(X,or(b,t4))),xor(X,xor(b,t2))) ),[0],$fot(not(xor(X,or(a,t4))))]]) ).
cnf(refute_0_4875,plain,
( not(xor(X,or(b,t4))) != xor(X,xor(b,t2))
| not(xor(X,or(a,t4))) = xor(X,xor(b,t2)) ),
inference(resolve,[$cnf( $equal(not(xor(X,or(b,t4))),not(xor(X,or(a,t4)))) )],[refute_0_4873,refute_0_4874]) ).
cnf(refute_0_4876,plain,
( not(xor(X,or(a,t4))) != xor(X,xor(b,t2))
| xor(X,xor(b,t2)) != xor(X,xor(a,t3))
| not(xor(X,or(a,t4))) = xor(X,xor(a,t3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(X,or(a,t4))),xor(X,xor(a,t3))) ),[0],$fot(xor(X,xor(b,t2)))]]) ).
cnf(refute_0_4877,plain,
( not(xor(X,or(a,t4))) != xor(X,xor(b,t2))
| not(xor(X,or(a,t4))) = xor(X,xor(a,t3)) ),
inference(resolve,[$cnf( $equal(xor(X,xor(b,t2)),xor(X,xor(a,t3))) )],[refute_0_4650,refute_0_4876]) ).
cnf(refute_0_4878,plain,
( not(xor(X,or(b,t4))) != xor(X,xor(b,t2))
| not(xor(X,or(a,t4))) = xor(X,xor(a,t3)) ),
inference(resolve,[$cnf( $equal(not(xor(X,or(a,t4))),xor(X,xor(b,t2))) )],[refute_0_4875,refute_0_4877]) ).
cnf(refute_0_4879,plain,
not(xor(X,or(a,t4))) = xor(X,xor(a,t3)),
inference(resolve,[$cnf( $equal(not(xor(X,or(b,t4))),xor(X,xor(b,t2))) )],[refute_0_3674,refute_0_4878]) ).
cnf(refute_0_4880,plain,
not(xor(t7,or(a,t4))) = xor(t7,xor(a,t3)),
inference(subst,[],[refute_0_4879:[bind(X,$fot(t7))]]) ).
cnf(refute_0_4881,plain,
( not(xor(t7,or(a,t4))) != xor(t7,xor(a,t3))
| xor(t7,xor(a,t3)) != xor(a,xor(t3,t7))
| not(xor(t7,or(a,t4))) = xor(a,xor(t3,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t7,or(a,t4))))),bind(Y0,$fot(xor(t7,xor(a,t3)))),bind(Z0,$fot(xor(a,xor(t3,t7))))]]) ).
cnf(refute_0_4882,plain,
( xor(t7,xor(a,t3)) != xor(a,xor(t3,t7))
| not(xor(t7,or(a,t4))) = xor(a,xor(t3,t7)) ),
inference(resolve,[$cnf( $equal(not(xor(t7,or(a,t4))),xor(t7,xor(a,t3))) )],[refute_0_4880,refute_0_4881]) ).
cnf(refute_0_4883,plain,
not(xor(t7,or(a,t4))) = xor(a,xor(t3,t7)),
inference(resolve,[$cnf( $equal(xor(t7,xor(a,t3)),xor(a,xor(t3,t7))) )],[refute_0_4869,refute_0_4882]) ).
cnf(refute_0_4884,plain,
( not(xor(t7,or(a,t4))) != xor(a,xor(t3,t7))
| xor(t4,xor(or(sum,t4),or(a,t4))) != not(xor(t7,or(a,t4)))
| xor(t4,xor(or(sum,t4),or(a,t4))) = xor(a,xor(t3,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t4,xor(or(sum,t4),or(a,t4))))),bind(Y0,$fot(not(xor(t7,or(a,t4))))),bind(Z0,$fot(xor(a,xor(t3,t7))))]]) ).
cnf(refute_0_4885,plain,
( not(xor(t7,or(a,t4))) != xor(a,xor(t3,t7))
| xor(t4,xor(or(sum,t4),or(a,t4))) = xor(a,xor(t3,t7)) ),
inference(resolve,[$cnf( $equal(xor(t4,xor(or(sum,t4),or(a,t4))),not(xor(t7,or(a,t4)))) )],[refute_0_4507,refute_0_4884]) ).
cnf(refute_0_4886,plain,
xor(t4,xor(or(sum,t4),or(a,t4))) = xor(a,xor(t3,t7)),
inference(resolve,[$cnf( $equal(not(xor(t7,or(a,t4))),xor(a,xor(t3,t7))) )],[refute_0_4883,refute_0_4885]) ).
cnf(refute_0_4887,plain,
( xor(t4,xor(or(sum,t4),or(a,t4))) != not(not(xor(carry,sum)))
| xor(t4,xor(or(sum,t4),or(a,t4))) != xor(a,xor(t3,t7))
| xor(a,xor(t3,t7)) = not(not(xor(carry,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,xor(or(sum,t4),or(a,t4))),not(not(xor(carry,sum)))) ),[0],$fot(xor(a,xor(t3,t7)))]]) ).
cnf(refute_0_4888,plain,
( xor(t4,xor(or(sum,t4),or(a,t4))) != not(not(xor(carry,sum)))
| xor(a,xor(t3,t7)) = not(not(xor(carry,sum))) ),
inference(resolve,[$cnf( $equal(xor(t4,xor(or(sum,t4),or(a,t4))),xor(a,xor(t3,t7))) )],[refute_0_4886,refute_0_4887]) ).
cnf(refute_0_4889,plain,
not(not(xor(carry,sum))) = xor(carry,sum),
inference(subst,[],[not_involution:[bind(X,$fot(xor(carry,sum)))]]) ).
cnf(refute_0_4890,plain,
( not(not(xor(carry,sum))) != xor(carry,sum)
| xor(a,xor(t3,t7)) != not(not(xor(carry,sum)))
| xor(a,xor(t3,t7)) = xor(carry,sum) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t3,t7)),not(not(xor(carry,sum)))) ),[1],$fot(xor(carry,sum))]]) ).
cnf(refute_0_4891,plain,
( xor(a,xor(t3,t7)) != not(not(xor(carry,sum)))
| xor(a,xor(t3,t7)) = xor(carry,sum) ),
inference(resolve,[$cnf( $equal(not(not(xor(carry,sum))),xor(carry,sum)) )],[refute_0_4889,refute_0_4890]) ).
cnf(refute_0_4892,plain,
( xor(t4,xor(or(sum,t4),or(a,t4))) != not(not(xor(carry,sum)))
| xor(a,xor(t3,t7)) = xor(carry,sum) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,t7)),not(not(xor(carry,sum)))) )],[refute_0_4888,refute_0_4891]) ).
cnf(refute_0_4893,plain,
xor(a,xor(t3,t7)) = xor(carry,sum),
inference(resolve,[$cnf( $equal(xor(t4,xor(or(sum,t4),or(a,t4))),not(not(xor(carry,sum)))) )],[refute_0_4733,refute_0_4892]) ).
cnf(refute_0_4894,plain,
( xor(a,xor(t3,t7)) != xor(carry,sum)
| xor(a,xor(xor(t3,t7),Z)) != xor(xor(a,xor(t3,t7)),Z)
| xor(a,xor(xor(t3,t7),Z)) = xor(xor(carry,sum),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(xor(t3,t7),Z)),xor(xor(a,xor(t3,t7)),Z)) ),[1,0],$fot(xor(carry,sum))]]) ).
cnf(refute_0_4895,plain,
( xor(a,xor(xor(t3,t7),Z)) != xor(xor(a,xor(t3,t7)),Z)
| xor(a,xor(xor(t3,t7),Z)) = xor(xor(carry,sum),Z) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,t7)),xor(carry,sum)) )],[refute_0_4893,refute_0_4894]) ).
cnf(refute_0_4896,plain,
xor(a,xor(xor(t3,t7),Z)) = xor(xor(carry,sum),Z),
inference(resolve,[$cnf( $equal(xor(a,xor(xor(t3,t7),Z)),xor(xor(a,xor(t3,t7)),Z)) )],[refute_0_4453,refute_0_4895]) ).
cnf(refute_0_4897,plain,
xor(xor(t3,t7),Z) = xor(t3,xor(t7,Z)),
inference(subst,[],[refute_0_526:[bind(X,$fot(t3)),bind(Y,$fot(t7))]]) ).
cnf(refute_0_4898,plain,
xor(a,xor(xor(t3,t7),Z)) = xor(a,xor(xor(t3,t7),Z)),
introduced(tautology,[refl,[$fot(xor(a,xor(xor(t3,t7),Z)))]]) ).
cnf(refute_0_4899,plain,
( xor(a,xor(xor(t3,t7),Z)) != xor(a,xor(xor(t3,t7),Z))
| xor(xor(t3,t7),Z) != xor(t3,xor(t7,Z))
| xor(a,xor(xor(t3,t7),Z)) = xor(a,xor(t3,xor(t7,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(xor(t3,t7),Z)),xor(a,xor(xor(t3,t7),Z))) ),[1,1],$fot(xor(t3,xor(t7,Z)))]]) ).
cnf(refute_0_4900,plain,
( xor(xor(t3,t7),Z) != xor(t3,xor(t7,Z))
| xor(a,xor(xor(t3,t7),Z)) = xor(a,xor(t3,xor(t7,Z))) ),
inference(resolve,[$cnf( $equal(xor(a,xor(xor(t3,t7),Z)),xor(a,xor(xor(t3,t7),Z))) )],[refute_0_4898,refute_0_4899]) ).
cnf(refute_0_4901,plain,
xor(a,xor(xor(t3,t7),Z)) = xor(a,xor(t3,xor(t7,Z))),
inference(resolve,[$cnf( $equal(xor(xor(t3,t7),Z),xor(t3,xor(t7,Z))) )],[refute_0_4897,refute_0_4900]) ).
cnf(refute_0_4902,plain,
( xor(a,xor(xor(t3,t7),Z)) != xor(a,xor(t3,xor(t7,Z)))
| xor(a,xor(xor(t3,t7),Z)) != xor(xor(carry,sum),Z)
| xor(a,xor(t3,xor(t7,Z))) = xor(xor(carry,sum),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(xor(t3,t7),Z)),xor(xor(carry,sum),Z)) ),[0],$fot(xor(a,xor(t3,xor(t7,Z))))]]) ).
cnf(refute_0_4903,plain,
( xor(a,xor(xor(t3,t7),Z)) != xor(xor(carry,sum),Z)
| xor(a,xor(t3,xor(t7,Z))) = xor(xor(carry,sum),Z) ),
inference(resolve,[$cnf( $equal(xor(a,xor(xor(t3,t7),Z)),xor(a,xor(t3,xor(t7,Z)))) )],[refute_0_4901,refute_0_4902]) ).
cnf(refute_0_4904,plain,
xor(xor(carry,sum),Z) = xor(carry,xor(sum,Z)),
inference(subst,[],[refute_0_526:[bind(X,$fot(carry)),bind(Y,$fot(sum))]]) ).
cnf(refute_0_4905,plain,
( xor(a,xor(t3,xor(t7,Z))) != xor(xor(carry,sum),Z)
| xor(xor(carry,sum),Z) != xor(carry,xor(sum,Z))
| xor(a,xor(t3,xor(t7,Z))) = xor(carry,xor(sum,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(a,xor(t3,xor(t7,Z))),xor(carry,xor(sum,Z))) ),[0],$fot(xor(xor(carry,sum),Z))]]) ).
cnf(refute_0_4906,plain,
( xor(a,xor(t3,xor(t7,Z))) != xor(xor(carry,sum),Z)
| xor(a,xor(t3,xor(t7,Z))) = xor(carry,xor(sum,Z)) ),
inference(resolve,[$cnf( $equal(xor(xor(carry,sum),Z),xor(carry,xor(sum,Z))) )],[refute_0_4904,refute_0_4905]) ).
cnf(refute_0_4907,plain,
( xor(a,xor(xor(t3,t7),Z)) != xor(xor(carry,sum),Z)
| xor(a,xor(t3,xor(t7,Z))) = xor(carry,xor(sum,Z)) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,xor(t7,Z))),xor(xor(carry,sum),Z)) )],[refute_0_4903,refute_0_4906]) ).
cnf(refute_0_4908,plain,
xor(a,xor(t3,xor(t7,Z))) = xor(carry,xor(sum,Z)),
inference(resolve,[$cnf( $equal(xor(a,xor(xor(t3,t7),Z)),xor(xor(carry,sum),Z)) )],[refute_0_4896,refute_0_4907]) ).
cnf(refute_0_4909,plain,
xor(a,xor(t3,xor(t7,and(sum,or(a,b))))) = xor(carry,xor(sum,and(sum,or(a,b)))),
inference(subst,[],[refute_0_4908:[bind(Z,$fot(and(sum,or(a,b))))]]) ).
cnf(refute_0_4910,plain,
xor(sum,xor(t6,Z)) = xor(xor(sum,t6),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(sum)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_4911,plain,
or(and(sum,not(t6)),and(not(sum),t6)) = xor(sum,t6),
inference(subst,[],[refute_0_9:[bind(X,$fot(sum)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_4912,plain,
not(or(t6,not(sum))) = not(or(not(sum),t6)),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(not(sum))),bind(X_26,$fot(t6))]]) ).
cnf(refute_0_4913,plain,
or(t6,and(t6,t7)) = t6,
inference(subst,[],[or_absorption:[bind(X,$fot(t6)),bind(Y,$fot(t7))]]) ).
cnf(refute_0_4914,plain,
( and(t6,t7) != not(sum)
| or(t6,and(t6,t7)) != t6
| or(t6,not(sum)) = t6 ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,and(t6,t7)),t6) ),[0,1],$fot(not(sum))]]) ).
cnf(refute_0_4915,plain,
( or(t6,and(t6,t7)) != t6
| or(t6,not(sum)) = t6 ),
inference(resolve,[$cnf( $equal(and(t6,t7),not(sum)) )],[refute_0_1039,refute_0_4914]) ).
cnf(refute_0_4916,plain,
or(t6,not(sum)) = t6,
inference(resolve,[$cnf( $equal(or(t6,and(t6,t7)),t6) )],[refute_0_4913,refute_0_4915]) ).
cnf(refute_0_4917,plain,
( not(or(t6,not(sum))) != not(or(not(sum),t6))
| or(t6,not(sum)) != t6
| not(t6) = not(or(not(sum),t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t6,not(sum))),not(or(not(sum),t6))) ),[0,0],$fot(t6)]]) ).
cnf(refute_0_4918,plain,
( not(or(t6,not(sum))) != not(or(not(sum),t6))
| not(t6) = not(or(not(sum),t6)) ),
inference(resolve,[$cnf( $equal(or(t6,not(sum)),t6) )],[refute_0_4916,refute_0_4917]) ).
cnf(refute_0_4919,plain,
not(t6) = not(or(not(sum),t6)),
inference(resolve,[$cnf( $equal(not(or(t6,not(sum))),not(or(not(sum),t6))) )],[refute_0_4912,refute_0_4918]) ).
cnf(refute_0_4920,plain,
not(or(not(sum),t6)) = and(sum,not(t6)),
inference(subst,[],[refute_0_159:[bind(X,$fot(sum)),bind(X_26,$fot(t6))]]) ).
cnf(refute_0_4921,plain,
( not(or(not(sum),t6)) != and(sum,not(t6))
| not(t6) != not(or(not(sum),t6))
| not(t6) = and(sum,not(t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(t6),not(or(not(sum),t6))) ),[1],$fot(and(sum,not(t6)))]]) ).
cnf(refute_0_4922,plain,
( not(t6) != not(or(not(sum),t6))
| not(t6) = and(sum,not(t6)) ),
inference(resolve,[$cnf( $equal(not(or(not(sum),t6)),and(sum,not(t6))) )],[refute_0_4920,refute_0_4921]) ).
cnf(refute_0_4923,plain,
not(t6) = and(sum,not(t6)),
inference(resolve,[$cnf( $equal(not(t6),not(or(not(sum),t6))) )],[refute_0_4919,refute_0_4922]) ).
cnf(refute_0_4924,plain,
( not(t6) != and(sum,not(t6))
| and(sum,not(t6)) = not(t6) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t6))),bind(Y0,$fot(and(sum,not(t6))))]]) ).
cnf(refute_0_4925,plain,
and(sum,not(t6)) = not(t6),
inference(resolve,[$cnf( $equal(not(t6),and(sum,not(t6))) )],[refute_0_4923,refute_0_4924]) ).
cnf(refute_0_4926,plain,
( and(sum,not(t6)) != not(t6)
| or(and(sum,not(t6)),and(not(sum),t6)) != xor(sum,t6)
| or(not(t6),and(not(sum),t6)) = xor(sum,t6) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(sum,not(t6)),and(not(sum),t6)),xor(sum,t6)) ),[0,0],$fot(not(t6))]]) ).
cnf(refute_0_4927,plain,
( or(and(sum,not(t6)),and(not(sum),t6)) != xor(sum,t6)
| or(not(t6),and(not(sum),t6)) = xor(sum,t6) ),
inference(resolve,[$cnf( $equal(and(sum,not(t6)),not(t6)) )],[refute_0_4925,refute_0_4926]) ).
cnf(refute_0_4928,plain,
or(not(t6),and(not(sum),t6)) = xor(sum,t6),
inference(resolve,[$cnf( $equal(or(and(sum,not(t6)),and(not(sum),t6)),xor(sum,t6)) )],[refute_0_4911,refute_0_4927]) ).
cnf(refute_0_4929,plain,
not(and(t6,sum)) = not(and(sum,t6)),
inference(subst,[],[refute_0_333:[bind(X_31,$fot(t6)),bind(X_32,$fot(sum))]]) ).
cnf(refute_0_4930,plain,
or(not(t6),not(sum)) = not(and(t6,sum)),
inference(subst,[],[refute_0_147:[bind(X,$fot(t6)),bind(Y,$fot(sum))]]) ).
cnf(refute_0_4931,plain,
( not(and(t6,sum)) != not(and(sum,t6))
| or(not(t6),not(sum)) != not(and(t6,sum))
| or(not(t6),not(sum)) = not(and(sum,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t6),not(sum)))),bind(Y0,$fot(not(and(t6,sum)))),bind(Z0,$fot(not(and(sum,t6))))]]) ).
cnf(refute_0_4932,plain,
( not(and(t6,sum)) != not(and(sum,t6))
| or(not(t6),not(sum)) = not(and(sum,t6)) ),
inference(resolve,[$cnf( $equal(or(not(t6),not(sum)),not(and(t6,sum))) )],[refute_0_4930,refute_0_4931]) ).
cnf(refute_0_4933,plain,
or(not(t6),not(sum)) = not(and(sum,t6)),
inference(resolve,[$cnf( $equal(not(and(t6,sum)),not(and(sum,t6))) )],[refute_0_4929,refute_0_4932]) ).
cnf(refute_0_4934,plain,
and(not(sum),or(t6,not(sum))) = not(sum),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(not(sum))),bind(X_20,$fot(t6))]]) ).
cnf(refute_0_4935,plain,
( and(not(sum),or(t6,not(sum))) != not(sum)
| or(t6,not(sum)) != t6
| and(not(sum),t6) = not(sum) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(sum),or(t6,not(sum))),not(sum)) ),[0,1],$fot(t6)]]) ).
cnf(refute_0_4936,plain,
( and(not(sum),or(t6,not(sum))) != not(sum)
| and(not(sum),t6) = not(sum) ),
inference(resolve,[$cnf( $equal(or(t6,not(sum)),t6) )],[refute_0_4916,refute_0_4935]) ).
cnf(refute_0_4937,plain,
and(not(sum),t6) = not(sum),
inference(resolve,[$cnf( $equal(and(not(sum),or(t6,not(sum))),not(sum)) )],[refute_0_4934,refute_0_4936]) ).
cnf(refute_0_4938,plain,
or(not(t6),and(not(sum),t6)) = or(not(t6),and(not(sum),t6)),
introduced(tautology,[refl,[$fot(or(not(t6),and(not(sum),t6)))]]) ).
cnf(refute_0_4939,plain,
( and(not(sum),t6) != not(sum)
| or(not(t6),and(not(sum),t6)) != or(not(t6),and(not(sum),t6))
| or(not(t6),and(not(sum),t6)) = or(not(t6),not(sum)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t6),and(not(sum),t6)),or(not(t6),and(not(sum),t6))) ),[1,1],$fot(not(sum))]]) ).
cnf(refute_0_4940,plain,
( and(not(sum),t6) != not(sum)
| or(not(t6),and(not(sum),t6)) = or(not(t6),not(sum)) ),
inference(resolve,[$cnf( $equal(or(not(t6),and(not(sum),t6)),or(not(t6),and(not(sum),t6))) )],[refute_0_4938,refute_0_4939]) ).
cnf(refute_0_4941,plain,
or(not(t6),and(not(sum),t6)) = or(not(t6),not(sum)),
inference(resolve,[$cnf( $equal(and(not(sum),t6),not(sum)) )],[refute_0_4937,refute_0_4940]) ).
cnf(refute_0_4942,plain,
( or(not(t6),and(not(sum),t6)) != or(not(t6),not(sum))
| or(not(t6),not(sum)) != not(and(sum,t6))
| or(not(t6),and(not(sum),t6)) = not(and(sum,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t6),and(not(sum),t6)))),bind(Y0,$fot(or(not(t6),not(sum)))),bind(Z0,$fot(not(and(sum,t6))))]]) ).
cnf(refute_0_4943,plain,
( or(not(t6),not(sum)) != not(and(sum,t6))
| or(not(t6),and(not(sum),t6)) = not(and(sum,t6)) ),
inference(resolve,[$cnf( $equal(or(not(t6),and(not(sum),t6)),or(not(t6),not(sum))) )],[refute_0_4941,refute_0_4942]) ).
cnf(refute_0_4944,plain,
or(not(t6),and(not(sum),t6)) = not(and(sum,t6)),
inference(resolve,[$cnf( $equal(or(not(t6),not(sum)),not(and(sum,t6))) )],[refute_0_4933,refute_0_4943]) ).
cnf(refute_0_4945,plain,
( or(not(t6),and(not(sum),t6)) != not(and(sum,t6))
| or(not(t6),and(not(sum),t6)) != xor(sum,t6)
| not(and(sum,t6)) = xor(sum,t6) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t6),and(not(sum),t6)),xor(sum,t6)) ),[0],$fot(not(and(sum,t6)))]]) ).
cnf(refute_0_4946,plain,
( or(not(t6),and(not(sum),t6)) != xor(sum,t6)
| not(and(sum,t6)) = xor(sum,t6) ),
inference(resolve,[$cnf( $equal(or(not(t6),and(not(sum),t6)),not(and(sum,t6))) )],[refute_0_4944,refute_0_4945]) ).
cnf(refute_0_4947,plain,
not(and(sum,t6)) = xor(sum,t6),
inference(resolve,[$cnf( $equal(or(not(t6),and(not(sum),t6)),xor(sum,t6)) )],[refute_0_4928,refute_0_4946]) ).
cnf(refute_0_4948,plain,
not(not(xor(t5,xor(X_355,t6)))) = xor(t5,xor(X_355,t6)),
inference(subst,[],[not_involution:[bind(X,$fot(xor(t5,xor(X_355,t6))))]]) ).
cnf(refute_0_4949,plain,
not(xor(t5,xor(X_355,t6))) = not(xor(t4,X_355)),
inference(subst,[],[refute_0_4583:[bind(X_335,$fot(X_355))]]) ).
cnf(refute_0_4950,plain,
( not(not(xor(t5,xor(X_355,t6)))) != xor(t5,xor(X_355,t6))
| not(xor(t5,xor(X_355,t6))) != not(xor(t4,X_355))
| not(not(xor(t4,X_355))) = xor(t5,xor(X_355,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(xor(t5,xor(X_355,t6)))),xor(t5,xor(X_355,t6))) ),[0,0],$fot(not(xor(t4,X_355)))]]) ).
cnf(refute_0_4951,plain,
( not(not(xor(t5,xor(X_355,t6)))) != xor(t5,xor(X_355,t6))
| not(not(xor(t4,X_355))) = xor(t5,xor(X_355,t6)) ),
inference(resolve,[$cnf( $equal(not(xor(t5,xor(X_355,t6))),not(xor(t4,X_355))) )],[refute_0_4949,refute_0_4950]) ).
cnf(refute_0_4952,plain,
not(not(xor(t4,X_355))) = xor(t5,xor(X_355,t6)),
inference(resolve,[$cnf( $equal(not(not(xor(t5,xor(X_355,t6)))),xor(t5,xor(X_355,t6))) )],[refute_0_4948,refute_0_4951]) ).
cnf(refute_0_4953,plain,
not(not(xor(t4,X_355))) = xor(t4,X_355),
inference(subst,[],[not_involution:[bind(X,$fot(xor(t4,X_355)))]]) ).
cnf(refute_0_4954,plain,
( not(not(xor(t4,X_355))) != xor(t4,X_355)
| not(not(xor(t4,X_355))) != xor(t5,xor(X_355,t6))
| xor(t4,X_355) = xor(t5,xor(X_355,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(xor(t4,X_355))),xor(t5,xor(X_355,t6))) ),[0],$fot(xor(t4,X_355))]]) ).
cnf(refute_0_4955,plain,
( not(not(xor(t4,X_355))) != xor(t5,xor(X_355,t6))
| xor(t4,X_355) = xor(t5,xor(X_355,t6)) ),
inference(resolve,[$cnf( $equal(not(not(xor(t4,X_355))),xor(t4,X_355)) )],[refute_0_4953,refute_0_4954]) ).
cnf(refute_0_4956,plain,
xor(t4,X_355) = xor(t5,xor(X_355,t6)),
inference(resolve,[$cnf( $equal(not(not(xor(t4,X_355))),xor(t5,xor(X_355,t6))) )],[refute_0_4952,refute_0_4955]) ).
cnf(refute_0_4957,plain,
xor(t4,or(cin,sum)) = xor(t5,xor(or(cin,sum),t6)),
inference(subst,[],[refute_0_4956:[bind(X_355,$fot(or(cin,sum)))]]) ).
cnf(refute_0_4958,plain,
xor(t4,or(sum,t4)) = xor(t4,or(sum,t4)),
introduced(tautology,[refl,[$fot(xor(t4,or(sum,t4)))]]) ).
cnf(refute_0_4959,plain,
( or(sum,t4) != or(cin,sum)
| xor(t4,or(sum,t4)) != xor(t4,or(sum,t4))
| xor(t4,or(sum,t4)) = xor(t4,or(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,or(sum,t4)),xor(t4,or(sum,t4))) ),[1,1],$fot(or(cin,sum))]]) ).
cnf(refute_0_4960,plain,
( or(sum,t4) != or(cin,sum)
| xor(t4,or(sum,t4)) = xor(t4,or(cin,sum)) ),
inference(resolve,[$cnf( $equal(xor(t4,or(sum,t4)),xor(t4,or(sum,t4))) )],[refute_0_4958,refute_0_4959]) ).
cnf(refute_0_4961,plain,
xor(t4,or(sum,t4)) = xor(t4,or(cin,sum)),
inference(resolve,[$cnf( $equal(or(sum,t4),or(cin,sum)) )],[refute_0_2534,refute_0_4960]) ).
cnf(refute_0_4962,plain,
( not(t7) != xor(t4,or(sum,t4))
| xor(t4,or(sum,t4)) != xor(t4,or(cin,sum))
| not(t7) = xor(t4,or(cin,sum)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(t7),xor(t4,or(cin,sum))) ),[0],$fot(xor(t4,or(sum,t4)))]]) ).
cnf(refute_0_4963,plain,
( not(t7) != xor(t4,or(sum,t4))
| not(t7) = xor(t4,or(cin,sum)) ),
inference(resolve,[$cnf( $equal(xor(t4,or(sum,t4)),xor(t4,or(cin,sum))) )],[refute_0_4961,refute_0_4962]) ).
cnf(refute_0_4964,plain,
not(t7) = xor(t4,or(cin,sum)),
inference(resolve,[$cnf( $equal(not(t7),xor(t4,or(sum,t4))) )],[refute_0_4497,refute_0_4963]) ).
cnf(refute_0_4965,plain,
( not(t7) != xor(t4,or(cin,sum))
| xor(t4,or(cin,sum)) = not(t7) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t7))),bind(Y0,$fot(xor(t4,or(cin,sum))))]]) ).
cnf(refute_0_4966,plain,
xor(t4,or(cin,sum)) = not(t7),
inference(resolve,[$cnf( $equal(not(t7),xor(t4,or(cin,sum))) )],[refute_0_4964,refute_0_4965]) ).
cnf(refute_0_4967,plain,
( xor(t4,or(cin,sum)) != not(t7)
| xor(t4,or(cin,sum)) != xor(t5,xor(or(cin,sum),t6))
| not(t7) = xor(t5,xor(or(cin,sum),t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,or(cin,sum)),xor(t5,xor(or(cin,sum),t6))) ),[0],$fot(not(t7))]]) ).
cnf(refute_0_4968,plain,
( xor(t4,or(cin,sum)) != xor(t5,xor(or(cin,sum),t6))
| not(t7) = xor(t5,xor(or(cin,sum),t6)) ),
inference(resolve,[$cnf( $equal(xor(t4,or(cin,sum)),not(t7)) )],[refute_0_4966,refute_0_4967]) ).
cnf(refute_0_4969,plain,
not(t7) = xor(t5,xor(or(cin,sum),t6)),
inference(resolve,[$cnf( $equal(xor(t4,or(cin,sum)),xor(t5,xor(or(cin,sum),t6))) )],[refute_0_4957,refute_0_4968]) ).
cnf(refute_0_4970,plain,
not(not(and(sum,t6))) = and(sum,t6),
inference(subst,[],[not_involution:[bind(X,$fot(and(sum,t6)))]]) ).
cnf(refute_0_4971,plain,
( not(and(sum,t6)) != xor(sum,t6)
| not(not(and(sum,t6))) != and(sum,t6)
| not(xor(sum,t6)) = and(sum,t6) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(sum,t6))),and(sum,t6)) ),[0,0],$fot(xor(sum,t6))]]) ).
cnf(refute_0_4972,plain,
( not(not(and(sum,t6))) != and(sum,t6)
| not(xor(sum,t6)) = and(sum,t6) ),
inference(resolve,[$cnf( $equal(not(and(sum,t6)),xor(sum,t6)) )],[refute_0_4947,refute_0_4971]) ).
cnf(refute_0_4973,plain,
not(xor(sum,t6)) = and(sum,t6),
inference(resolve,[$cnf( $equal(not(not(and(sum,t6))),and(sum,t6)) )],[refute_0_4970,refute_0_4972]) ).
cnf(refute_0_4974,plain,
xor(t5,xor(or(cin,sum),Z)) = xor(xor(t5,or(cin,sum)),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(t5)),bind(Y,$fot(or(cin,sum)))]]) ).
cnf(refute_0_4975,plain,
xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335)) = xor(xor(t5,xor(t2,xor(t5,not(t2)))),X_335),
inference(subst,[],[xor_associative:[bind(X,$fot(t5)),bind(Y,$fot(xor(t2,xor(t5,not(t2))))),bind(Z,$fot(X_335))]]) ).
cnf(refute_0_4976,plain,
xor(xor(t5,not(xor(t2,t5))),t2) = xor(t2,xor(t5,not(xor(t2,t5)))),
inference(subst,[],[xor_commutative:[bind(X,$fot(xor(t5,not(xor(t2,t5))))),bind(Y,$fot(t2))]]) ).
cnf(refute_0_4977,plain,
ll1 = xor(and(or(carry,t2),or(t5,not(t2))),not(and(or(carry,t2),or(t5,not(t2))))),
inference(subst,[],[refute_0_473:[bind(X_64,$fot(and(or(carry,t2),or(t5,not(t2)))))]]) ).
cnf(refute_0_4978,plain,
or(and(t5,not(t2)),and(not(t5),t2)) = xor(t5,t2),
inference(subst,[],[refute_0_9:[bind(X,$fot(t5)),bind(Y,$fot(t2))]]) ).
cnf(refute_0_4979,plain,
and(not(t2),t5) = and(a,and(t1,t5)),
inference(subst,[],[refute_0_1927:[bind(X_222,$fot(t5))]]) ).
cnf(refute_0_4980,plain,
( and(not(t2),t5) != and(a,and(t1,t5))
| and(t1,t5) != not(carry)
| and(not(t2),t5) = and(a,not(carry)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),t5),and(a,and(t1,t5))) ),[1,1],$fot(not(carry))]]) ).
cnf(refute_0_4981,plain,
( and(not(t2),t5) != and(a,and(t1,t5))
| and(not(t2),t5) = and(a,not(carry)) ),
inference(resolve,[$cnf( $equal(and(t1,t5),not(carry)) )],[refute_0_175,refute_0_4980]) ).
cnf(refute_0_4982,plain,
and(not(t2),t5) = and(a,not(carry)),
inference(resolve,[$cnf( $equal(and(not(t2),t5),and(a,and(t1,t5))) )],[refute_0_4979,refute_0_4981]) ).
cnf(refute_0_4983,plain,
and(not(t2),t5) = and(t5,not(t2)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t5)),bind(Y,$fot(not(t2)))]]) ).
cnf(refute_0_4984,plain,
( and(not(t2),t5) != and(a,not(carry))
| and(not(t2),t5) != and(t5,not(t2))
| and(t5,not(t2)) = and(a,not(carry)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),t5),and(a,not(carry))) ),[0],$fot(and(t5,not(t2)))]]) ).
cnf(refute_0_4985,plain,
( and(not(t2),t5) != and(a,not(carry))
| and(t5,not(t2)) = and(a,not(carry)) ),
inference(resolve,[$cnf( $equal(and(not(t2),t5),and(t5,not(t2))) )],[refute_0_4983,refute_0_4984]) ).
cnf(refute_0_4986,plain,
and(not(t2),not(carry)) = and(a,and(t1,not(carry))),
inference(subst,[],[refute_0_1927:[bind(X_222,$fot(not(carry)))]]) ).
cnf(refute_0_4987,plain,
and(not(carry),or(t1,not(carry))) = not(carry),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(not(carry))),bind(X_20,$fot(t1))]]) ).
cnf(refute_0_4988,plain,
or(t1,and(t1,t5)) = t1,
inference(subst,[],[or_absorption:[bind(X,$fot(t1)),bind(Y,$fot(t5))]]) ).
cnf(refute_0_4989,plain,
( and(t1,t5) != not(carry)
| or(t1,and(t1,t5)) != t1
| or(t1,not(carry)) = t1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,and(t1,t5)),t1) ),[0,1],$fot(not(carry))]]) ).
cnf(refute_0_4990,plain,
( or(t1,and(t1,t5)) != t1
| or(t1,not(carry)) = t1 ),
inference(resolve,[$cnf( $equal(and(t1,t5),not(carry)) )],[refute_0_175,refute_0_4989]) ).
cnf(refute_0_4991,plain,
or(t1,not(carry)) = t1,
inference(resolve,[$cnf( $equal(or(t1,and(t1,t5)),t1) )],[refute_0_4988,refute_0_4990]) ).
cnf(refute_0_4992,plain,
( and(not(carry),or(t1,not(carry))) != not(carry)
| or(t1,not(carry)) != t1
| and(not(carry),t1) = not(carry) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),or(t1,not(carry))),not(carry)) ),[0,1],$fot(t1)]]) ).
cnf(refute_0_4993,plain,
( and(not(carry),or(t1,not(carry))) != not(carry)
| and(not(carry),t1) = not(carry) ),
inference(resolve,[$cnf( $equal(or(t1,not(carry)),t1) )],[refute_0_4991,refute_0_4992]) ).
cnf(refute_0_4994,plain,
and(not(carry),t1) = not(carry),
inference(resolve,[$cnf( $equal(and(not(carry),or(t1,not(carry))),not(carry)) )],[refute_0_4987,refute_0_4993]) ).
cnf(refute_0_4995,plain,
and(not(carry),t1) = and(t1,not(carry)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t1)),bind(Y,$fot(not(carry)))]]) ).
cnf(refute_0_4996,plain,
( and(not(carry),t1) != and(t1,not(carry))
| and(not(carry),t1) != not(carry)
| and(t1,not(carry)) = not(carry) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),t1),not(carry)) ),[0],$fot(and(t1,not(carry)))]]) ).
cnf(refute_0_4997,plain,
( and(not(carry),t1) != not(carry)
| and(t1,not(carry)) = not(carry) ),
inference(resolve,[$cnf( $equal(and(not(carry),t1),and(t1,not(carry))) )],[refute_0_4995,refute_0_4996]) ).
cnf(refute_0_4998,plain,
and(t1,not(carry)) = not(carry),
inference(resolve,[$cnf( $equal(and(not(carry),t1),not(carry)) )],[refute_0_4994,refute_0_4997]) ).
cnf(refute_0_4999,plain,
( and(not(t2),not(carry)) != and(a,and(t1,not(carry)))
| and(t1,not(carry)) != not(carry)
| and(not(t2),not(carry)) = and(a,not(carry)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),not(carry)),and(a,and(t1,not(carry)))) ),[1,1],$fot(not(carry))]]) ).
cnf(refute_0_5000,plain,
( and(not(t2),not(carry)) != and(a,and(t1,not(carry)))
| and(not(t2),not(carry)) = and(a,not(carry)) ),
inference(resolve,[$cnf( $equal(and(t1,not(carry)),not(carry)) )],[refute_0_4998,refute_0_4999]) ).
cnf(refute_0_5001,plain,
and(not(t2),not(carry)) = and(a,not(carry)),
inference(resolve,[$cnf( $equal(and(not(t2),not(carry)),and(a,and(t1,not(carry)))) )],[refute_0_4986,refute_0_5000]) ).
cnf(refute_0_5002,plain,
not(or(t2,carry)) = not(or(carry,t2)),
inference(subst,[],[refute_0_562:[bind(X_25,$fot(t2)),bind(X_26,$fot(carry))]]) ).
cnf(refute_0_5003,plain,
and(not(t2),not(carry)) = not(or(t2,carry)),
inference(subst,[],[refute_0_101:[bind(X,$fot(t2)),bind(Y,$fot(carry))]]) ).
cnf(refute_0_5004,plain,
( and(not(t2),not(carry)) != not(or(t2,carry))
| not(or(t2,carry)) != not(or(carry,t2))
| and(not(t2),not(carry)) = not(or(carry,t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t2),not(carry)))),bind(Y0,$fot(not(or(t2,carry)))),bind(Z0,$fot(not(or(carry,t2))))]]) ).
cnf(refute_0_5005,plain,
( not(or(t2,carry)) != not(or(carry,t2))
| and(not(t2),not(carry)) = not(or(carry,t2)) ),
inference(resolve,[$cnf( $equal(and(not(t2),not(carry)),not(or(t2,carry))) )],[refute_0_5003,refute_0_5004]) ).
cnf(refute_0_5006,plain,
and(not(t2),not(carry)) = not(or(carry,t2)),
inference(resolve,[$cnf( $equal(not(or(t2,carry)),not(or(carry,t2))) )],[refute_0_5002,refute_0_5005]) ).
cnf(refute_0_5007,plain,
( and(not(t2),not(carry)) != and(a,not(carry))
| and(not(t2),not(carry)) != not(or(carry,t2))
| not(or(carry,t2)) = and(a,not(carry)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),not(carry)),and(a,not(carry))) ),[0],$fot(not(or(carry,t2)))]]) ).
cnf(refute_0_5008,plain,
( and(not(t2),not(carry)) != and(a,not(carry))
| not(or(carry,t2)) = and(a,not(carry)) ),
inference(resolve,[$cnf( $equal(and(not(t2),not(carry)),not(or(carry,t2))) )],[refute_0_5006,refute_0_5007]) ).
cnf(refute_0_5009,plain,
not(or(carry,t2)) = and(a,not(carry)),
inference(resolve,[$cnf( $equal(and(not(t2),not(carry)),and(a,not(carry))) )],[refute_0_5001,refute_0_5008]) ).
cnf(refute_0_5010,plain,
( not(or(carry,t2)) != and(a,not(carry))
| and(a,not(carry)) = not(or(carry,t2)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(carry,t2)))),bind(Y0,$fot(and(a,not(carry))))]]) ).
cnf(refute_0_5011,plain,
and(a,not(carry)) = not(or(carry,t2)),
inference(resolve,[$cnf( $equal(not(or(carry,t2)),and(a,not(carry))) )],[refute_0_5009,refute_0_5010]) ).
cnf(refute_0_5012,plain,
( and(a,not(carry)) != not(or(carry,t2))
| and(t5,not(t2)) != and(a,not(carry))
| and(t5,not(t2)) = not(or(carry,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,not(t2)),and(a,not(carry))) ),[1],$fot(not(or(carry,t2)))]]) ).
cnf(refute_0_5013,plain,
( and(t5,not(t2)) != and(a,not(carry))
| and(t5,not(t2)) = not(or(carry,t2)) ),
inference(resolve,[$cnf( $equal(and(a,not(carry)),not(or(carry,t2))) )],[refute_0_5011,refute_0_5012]) ).
cnf(refute_0_5014,plain,
( and(not(t2),t5) != and(a,not(carry))
| and(t5,not(t2)) = not(or(carry,t2)) ),
inference(resolve,[$cnf( $equal(and(t5,not(t2)),and(a,not(carry))) )],[refute_0_4985,refute_0_5013]) ).
cnf(refute_0_5015,plain,
and(t5,not(t2)) = not(or(carry,t2)),
inference(resolve,[$cnf( $equal(and(not(t2),t5),and(a,not(carry))) )],[refute_0_4982,refute_0_5014]) ).
cnf(refute_0_5016,plain,
( and(t5,not(t2)) != not(or(carry,t2))
| or(and(t5,not(t2)),and(not(t5),t2)) != xor(t5,t2)
| or(not(or(carry,t2)),and(not(t5),t2)) = xor(t5,t2) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t5,not(t2)),and(not(t5),t2)),xor(t5,t2)) ),[0,0],$fot(not(or(carry,t2)))]]) ).
cnf(refute_0_5017,plain,
( or(and(t5,not(t2)),and(not(t5),t2)) != xor(t5,t2)
| or(not(or(carry,t2)),and(not(t5),t2)) = xor(t5,t2) ),
inference(resolve,[$cnf( $equal(and(t5,not(t2)),not(or(carry,t2))) )],[refute_0_5015,refute_0_5016]) ).
cnf(refute_0_5018,plain,
or(not(or(carry,t2)),and(not(t5),t2)) = xor(t5,t2),
inference(resolve,[$cnf( $equal(or(and(t5,not(t2)),and(not(t5),t2)),xor(t5,t2)) )],[refute_0_4978,refute_0_5017]) ).
cnf(refute_0_5019,plain,
or(not(or(carry,t2)),and(not(t5),t2)) = not(and(or(carry,t2),or(t5,not(t2)))),
inference(subst,[],[refute_0_1337:[bind(X,$fot(or(carry,t2))),bind(X_78,$fot(t2)),bind(X_79,$fot(t5))]]) ).
cnf(refute_0_5020,plain,
( or(not(or(carry,t2)),and(not(t5),t2)) != not(and(or(carry,t2),or(t5,not(t2))))
| or(not(or(carry,t2)),and(not(t5),t2)) != xor(t5,t2)
| not(and(or(carry,t2),or(t5,not(t2)))) = xor(t5,t2) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(or(carry,t2)),and(not(t5),t2)),xor(t5,t2)) ),[0],$fot(not(and(or(carry,t2),or(t5,not(t2)))))]]) ).
cnf(refute_0_5021,plain,
( or(not(or(carry,t2)),and(not(t5),t2)) != xor(t5,t2)
| not(and(or(carry,t2),or(t5,not(t2)))) = xor(t5,t2) ),
inference(resolve,[$cnf( $equal(or(not(or(carry,t2)),and(not(t5),t2)),not(and(or(carry,t2),or(t5,not(t2))))) )],[refute_0_5019,refute_0_5020]) ).
cnf(refute_0_5022,plain,
xor(t5,t2) = xor(t2,t5),
inference(subst,[],[refute_0_1913:[bind(X,$fot(t2)),bind(Y,$fot(t5))]]) ).
cnf(refute_0_5023,plain,
( not(and(or(carry,t2),or(t5,not(t2)))) != xor(t5,t2)
| xor(t5,t2) != xor(t2,t5)
| not(and(or(carry,t2),or(t5,not(t2)))) = xor(t2,t5) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(or(carry,t2),or(t5,not(t2)))),xor(t2,t5)) ),[0],$fot(xor(t5,t2))]]) ).
cnf(refute_0_5024,plain,
( not(and(or(carry,t2),or(t5,not(t2)))) != xor(t5,t2)
| not(and(or(carry,t2),or(t5,not(t2)))) = xor(t2,t5) ),
inference(resolve,[$cnf( $equal(xor(t5,t2),xor(t2,t5)) )],[refute_0_5022,refute_0_5023]) ).
cnf(refute_0_5025,plain,
( or(not(or(carry,t2)),and(not(t5),t2)) != xor(t5,t2)
| not(and(or(carry,t2),or(t5,not(t2)))) = xor(t2,t5) ),
inference(resolve,[$cnf( $equal(not(and(or(carry,t2),or(t5,not(t2)))),xor(t5,t2)) )],[refute_0_5021,refute_0_5024]) ).
cnf(refute_0_5026,plain,
not(and(or(carry,t2),or(t5,not(t2)))) = xor(t2,t5),
inference(resolve,[$cnf( $equal(or(not(or(carry,t2)),and(not(t5),t2)),xor(t5,t2)) )],[refute_0_5018,refute_0_5025]) ).
cnf(refute_0_5027,plain,
( ll1 != xor(and(or(carry,t2),or(t5,not(t2))),not(and(or(carry,t2),or(t5,not(t2)))))
| not(and(or(carry,t2),or(t5,not(t2)))) != xor(t2,t5)
| ll1 = xor(and(or(carry,t2),or(t5,not(t2))),xor(t2,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,xor(and(or(carry,t2),or(t5,not(t2))),not(and(or(carry,t2),or(t5,not(t2)))))) ),[1,1],$fot(xor(t2,t5))]]) ).
cnf(refute_0_5028,plain,
( ll1 != xor(and(or(carry,t2),or(t5,not(t2))),not(and(or(carry,t2),or(t5,not(t2)))))
| ll1 = xor(and(or(carry,t2),or(t5,not(t2))),xor(t2,t5)) ),
inference(resolve,[$cnf( $equal(not(and(or(carry,t2),or(t5,not(t2)))),xor(t2,t5)) )],[refute_0_5026,refute_0_5027]) ).
cnf(refute_0_5029,plain,
ll1 = xor(and(or(carry,t2),or(t5,not(t2))),xor(t2,t5)),
inference(resolve,[$cnf( $equal(ll1,xor(and(or(carry,t2),or(t5,not(t2))),not(and(or(carry,t2),or(t5,not(t2)))))) )],[refute_0_4977,refute_0_5028]) ).
cnf(refute_0_5030,plain,
xor(xor(t2,t5),and(or(carry,t2),or(t5,not(t2)))) = xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2))))),
inference(subst,[],[refute_0_526:[bind(X,$fot(t2)),bind(Y,$fot(t5)),bind(Z,$fot(and(or(carry,t2),or(t5,not(t2)))))]]) ).
cnf(refute_0_5031,plain,
xor(and(or(carry,t2),or(t5,not(t2))),xor(t2,t5)) = xor(xor(t2,t5),and(or(carry,t2),or(t5,not(t2)))),
inference(subst,[],[refute_0_1913:[bind(X,$fot(xor(t2,t5))),bind(Y,$fot(and(or(carry,t2),or(t5,not(t2)))))]]) ).
cnf(refute_0_5032,plain,
( xor(and(or(carry,t2),or(t5,not(t2))),xor(t2,t5)) != xor(xor(t2,t5),and(or(carry,t2),or(t5,not(t2))))
| xor(xor(t2,t5),and(or(carry,t2),or(t5,not(t2)))) != xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2)))))
| xor(and(or(carry,t2),or(t5,not(t2))),xor(t2,t5)) = xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2))))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(and(or(carry,t2),or(t5,not(t2))),xor(t2,t5)))),bind(Y0,$fot(xor(xor(t2,t5),and(or(carry,t2),or(t5,not(t2)))))),bind(Z0,$fot(xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2)))))))]]) ).
cnf(refute_0_5033,plain,
( xor(xor(t2,t5),and(or(carry,t2),or(t5,not(t2)))) != xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2)))))
| xor(and(or(carry,t2),or(t5,not(t2))),xor(t2,t5)) = xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2))))) ),
inference(resolve,[$cnf( $equal(xor(and(or(carry,t2),or(t5,not(t2))),xor(t2,t5)),xor(xor(t2,t5),and(or(carry,t2),or(t5,not(t2))))) )],[refute_0_5031,refute_0_5032]) ).
cnf(refute_0_5034,plain,
xor(and(or(carry,t2),or(t5,not(t2))),xor(t2,t5)) = xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2))))),
inference(resolve,[$cnf( $equal(xor(xor(t2,t5),and(or(carry,t2),or(t5,not(t2)))),xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2)))))) )],[refute_0_5030,refute_0_5033]) ).
cnf(refute_0_5035,plain,
( ll1 != xor(and(or(carry,t2),or(t5,not(t2))),xor(t2,t5))
| xor(and(or(carry,t2),or(t5,not(t2))),xor(t2,t5)) != xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2)))))
| ll1 = xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll1,xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2)))))) ),[0],$fot(xor(and(or(carry,t2),or(t5,not(t2))),xor(t2,t5)))]]) ).
cnf(refute_0_5036,plain,
( ll1 != xor(and(or(carry,t2),or(t5,not(t2))),xor(t2,t5))
| ll1 = xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2))))) ),
inference(resolve,[$cnf( $equal(xor(and(or(carry,t2),or(t5,not(t2))),xor(t2,t5)),xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2)))))) )],[refute_0_5034,refute_0_5035]) ).
cnf(refute_0_5037,plain,
ll1 = xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2))))),
inference(resolve,[$cnf( $equal(ll1,xor(and(or(carry,t2),or(t5,not(t2))),xor(t2,t5))) )],[refute_0_5029,refute_0_5036]) ).
cnf(refute_0_5038,plain,
or(and(X,not(and(or(carry,t2),or(t5,not(t2))))),and(not(X),and(or(carry,t2),or(t5,not(t2))))) = xor(X,and(or(carry,t2),or(t5,not(t2)))),
inference(subst,[],[refute_0_9:[bind(Y,$fot(and(or(carry,t2),or(t5,not(t2)))))]]) ).
cnf(refute_0_5039,plain,
( not(and(or(carry,t2),or(t5,not(t2)))) != xor(t2,t5)
| or(and(X,not(and(or(carry,t2),or(t5,not(t2))))),and(not(X),and(or(carry,t2),or(t5,not(t2))))) != xor(X,and(or(carry,t2),or(t5,not(t2))))
| or(and(X,xor(t2,t5)),and(not(X),and(or(carry,t2),or(t5,not(t2))))) = xor(X,and(or(carry,t2),or(t5,not(t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X,not(and(or(carry,t2),or(t5,not(t2))))),and(not(X),and(or(carry,t2),or(t5,not(t2))))),xor(X,and(or(carry,t2),or(t5,not(t2))))) ),[0,0,1],$fot(xor(t2,t5))]]) ).
cnf(refute_0_5040,plain,
( or(and(X,not(and(or(carry,t2),or(t5,not(t2))))),and(not(X),and(or(carry,t2),or(t5,not(t2))))) != xor(X,and(or(carry,t2),or(t5,not(t2))))
| or(and(X,xor(t2,t5)),and(not(X),and(or(carry,t2),or(t5,not(t2))))) = xor(X,and(or(carry,t2),or(t5,not(t2)))) ),
inference(resolve,[$cnf( $equal(not(and(or(carry,t2),or(t5,not(t2)))),xor(t2,t5)) )],[refute_0_5026,refute_0_5039]) ).
cnf(refute_0_5041,plain,
or(and(X,xor(t2,t5)),and(not(X),and(or(carry,t2),or(t5,not(t2))))) = xor(X,and(or(carry,t2),or(t5,not(t2)))),
inference(resolve,[$cnf( $equal(or(and(X,not(and(or(carry,t2),or(t5,not(t2))))),and(not(X),and(or(carry,t2),or(t5,not(t2))))),xor(X,and(or(carry,t2),or(t5,not(t2))))) )],[refute_0_5038,refute_0_5040]) ).
cnf(refute_0_5042,plain,
or(and(X,xor(t2,t5)),not(or(X,xor(t2,t5)))) = xor(X,not(xor(t2,t5))),
inference(subst,[],[refute_0_3627:[bind(X_64,$fot(xor(t2,t5)))]]) ).
cnf(refute_0_5043,plain,
not(or(X_25,not(and(or(carry,t2),or(t5,not(t2)))))) = and(not(X_25),and(or(carry,t2),or(t5,not(t2)))),
inference(subst,[],[refute_0_801:[bind(X,$fot(and(or(carry,t2),or(t5,not(t2)))))]]) ).
cnf(refute_0_5044,plain,
( not(and(or(carry,t2),or(t5,not(t2)))) != xor(t2,t5)
| not(or(X_25,not(and(or(carry,t2),or(t5,not(t2)))))) != and(not(X_25),and(or(carry,t2),or(t5,not(t2))))
| not(or(X_25,xor(t2,t5))) = and(not(X_25),and(or(carry,t2),or(t5,not(t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X_25,not(and(or(carry,t2),or(t5,not(t2)))))),and(not(X_25),and(or(carry,t2),or(t5,not(t2))))) ),[0,0,1],$fot(xor(t2,t5))]]) ).
cnf(refute_0_5045,plain,
( not(or(X_25,not(and(or(carry,t2),or(t5,not(t2)))))) != and(not(X_25),and(or(carry,t2),or(t5,not(t2))))
| not(or(X_25,xor(t2,t5))) = and(not(X_25),and(or(carry,t2),or(t5,not(t2)))) ),
inference(resolve,[$cnf( $equal(not(and(or(carry,t2),or(t5,not(t2)))),xor(t2,t5)) )],[refute_0_5026,refute_0_5044]) ).
cnf(refute_0_5046,plain,
not(or(X_25,xor(t2,t5))) = and(not(X_25),and(or(carry,t2),or(t5,not(t2)))),
inference(resolve,[$cnf( $equal(not(or(X_25,not(and(or(carry,t2),or(t5,not(t2)))))),and(not(X_25),and(or(carry,t2),or(t5,not(t2))))) )],[refute_0_5043,refute_0_5045]) ).
cnf(refute_0_5047,plain,
( not(or(X_25,xor(t2,t5))) != and(not(X_25),and(or(carry,t2),or(t5,not(t2))))
| and(not(X_25),and(or(carry,t2),or(t5,not(t2)))) = not(or(X_25,xor(t2,t5))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X_25,xor(t2,t5))))),bind(Y0,$fot(and(not(X_25),and(or(carry,t2),or(t5,not(t2))))))]]) ).
cnf(refute_0_5048,plain,
and(not(X_25),and(or(carry,t2),or(t5,not(t2)))) = not(or(X_25,xor(t2,t5))),
inference(resolve,[$cnf( $equal(not(or(X_25,xor(t2,t5))),and(not(X_25),and(or(carry,t2),or(t5,not(t2))))) )],[refute_0_5046,refute_0_5047]) ).
cnf(refute_0_5049,plain,
and(not(X),and(or(carry,t2),or(t5,not(t2)))) = not(or(X,xor(t2,t5))),
inference(subst,[],[refute_0_5048:[bind(X_25,$fot(X))]]) ).
cnf(refute_0_5050,plain,
or(and(X,xor(t2,t5)),and(not(X),and(or(carry,t2),or(t5,not(t2))))) = or(and(X,xor(t2,t5)),and(not(X),and(or(carry,t2),or(t5,not(t2))))),
introduced(tautology,[refl,[$fot(or(and(X,xor(t2,t5)),and(not(X),and(or(carry,t2),or(t5,not(t2))))))]]) ).
cnf(refute_0_5051,plain,
( and(not(X),and(or(carry,t2),or(t5,not(t2)))) != not(or(X,xor(t2,t5)))
| or(and(X,xor(t2,t5)),and(not(X),and(or(carry,t2),or(t5,not(t2))))) != or(and(X,xor(t2,t5)),and(not(X),and(or(carry,t2),or(t5,not(t2)))))
| or(and(X,xor(t2,t5)),and(not(X),and(or(carry,t2),or(t5,not(t2))))) = or(and(X,xor(t2,t5)),not(or(X,xor(t2,t5)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X,xor(t2,t5)),and(not(X),and(or(carry,t2),or(t5,not(t2))))),or(and(X,xor(t2,t5)),and(not(X),and(or(carry,t2),or(t5,not(t2)))))) ),[1,1],$fot(not(or(X,xor(t2,t5))))]]) ).
cnf(refute_0_5052,plain,
( and(not(X),and(or(carry,t2),or(t5,not(t2)))) != not(or(X,xor(t2,t5)))
| or(and(X,xor(t2,t5)),and(not(X),and(or(carry,t2),or(t5,not(t2))))) = or(and(X,xor(t2,t5)),not(or(X,xor(t2,t5)))) ),
inference(resolve,[$cnf( $equal(or(and(X,xor(t2,t5)),and(not(X),and(or(carry,t2),or(t5,not(t2))))),or(and(X,xor(t2,t5)),and(not(X),and(or(carry,t2),or(t5,not(t2)))))) )],[refute_0_5050,refute_0_5051]) ).
cnf(refute_0_5053,plain,
or(and(X,xor(t2,t5)),and(not(X),and(or(carry,t2),or(t5,not(t2))))) = or(and(X,xor(t2,t5)),not(or(X,xor(t2,t5)))),
inference(resolve,[$cnf( $equal(and(not(X),and(or(carry,t2),or(t5,not(t2)))),not(or(X,xor(t2,t5)))) )],[refute_0_5049,refute_0_5052]) ).
cnf(refute_0_5054,plain,
( or(and(X,xor(t2,t5)),and(not(X),and(or(carry,t2),or(t5,not(t2))))) != or(and(X,xor(t2,t5)),not(or(X,xor(t2,t5))))
| or(and(X,xor(t2,t5)),not(or(X,xor(t2,t5)))) != xor(X,not(xor(t2,t5)))
| or(and(X,xor(t2,t5)),and(not(X),and(or(carry,t2),or(t5,not(t2))))) = xor(X,not(xor(t2,t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(X,xor(t2,t5)),and(not(X),and(or(carry,t2),or(t5,not(t2))))))),bind(Y0,$fot(or(and(X,xor(t2,t5)),not(or(X,xor(t2,t5)))))),bind(Z0,$fot(xor(X,not(xor(t2,t5)))))]]) ).
cnf(refute_0_5055,plain,
( or(and(X,xor(t2,t5)),not(or(X,xor(t2,t5)))) != xor(X,not(xor(t2,t5)))
| or(and(X,xor(t2,t5)),and(not(X),and(or(carry,t2),or(t5,not(t2))))) = xor(X,not(xor(t2,t5))) ),
inference(resolve,[$cnf( $equal(or(and(X,xor(t2,t5)),and(not(X),and(or(carry,t2),or(t5,not(t2))))),or(and(X,xor(t2,t5)),not(or(X,xor(t2,t5))))) )],[refute_0_5053,refute_0_5054]) ).
cnf(refute_0_5056,plain,
or(and(X,xor(t2,t5)),and(not(X),and(or(carry,t2),or(t5,not(t2))))) = xor(X,not(xor(t2,t5))),
inference(resolve,[$cnf( $equal(or(and(X,xor(t2,t5)),not(or(X,xor(t2,t5)))),xor(X,not(xor(t2,t5)))) )],[refute_0_5042,refute_0_5055]) ).
cnf(refute_0_5057,plain,
( or(and(X,xor(t2,t5)),and(not(X),and(or(carry,t2),or(t5,not(t2))))) != xor(X,and(or(carry,t2),or(t5,not(t2))))
| or(and(X,xor(t2,t5)),and(not(X),and(or(carry,t2),or(t5,not(t2))))) != xor(X,not(xor(t2,t5)))
| xor(X,not(xor(t2,t5))) = xor(X,and(or(carry,t2),or(t5,not(t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X,xor(t2,t5)),and(not(X),and(or(carry,t2),or(t5,not(t2))))),xor(X,and(or(carry,t2),or(t5,not(t2))))) ),[0],$fot(xor(X,not(xor(t2,t5))))]]) ).
cnf(refute_0_5058,plain,
( or(and(X,xor(t2,t5)),and(not(X),and(or(carry,t2),or(t5,not(t2))))) != xor(X,and(or(carry,t2),or(t5,not(t2))))
| xor(X,not(xor(t2,t5))) = xor(X,and(or(carry,t2),or(t5,not(t2)))) ),
inference(resolve,[$cnf( $equal(or(and(X,xor(t2,t5)),and(not(X),and(or(carry,t2),or(t5,not(t2))))),xor(X,not(xor(t2,t5)))) )],[refute_0_5056,refute_0_5057]) ).
cnf(refute_0_5059,plain,
xor(X,not(xor(t2,t5))) = xor(X,and(or(carry,t2),or(t5,not(t2)))),
inference(resolve,[$cnf( $equal(or(and(X,xor(t2,t5)),and(not(X),and(or(carry,t2),or(t5,not(t2))))),xor(X,and(or(carry,t2),or(t5,not(t2))))) )],[refute_0_5041,refute_0_5058]) ).
cnf(refute_0_5060,plain,
( xor(X,not(xor(t2,t5))) != xor(X,and(or(carry,t2),or(t5,not(t2))))
| xor(X,and(or(carry,t2),or(t5,not(t2)))) = xor(X,not(xor(t2,t5))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X,not(xor(t2,t5))))),bind(Y0,$fot(xor(X,and(or(carry,t2),or(t5,not(t2))))))]]) ).
cnf(refute_0_5061,plain,
xor(X,and(or(carry,t2),or(t5,not(t2)))) = xor(X,not(xor(t2,t5))),
inference(resolve,[$cnf( $equal(xor(X,not(xor(t2,t5))),xor(X,and(or(carry,t2),or(t5,not(t2))))) )],[refute_0_5059,refute_0_5060]) ).
cnf(refute_0_5062,plain,
xor(t5,and(or(carry,t2),or(t5,not(t2)))) = xor(t5,not(xor(t2,t5))),
inference(subst,[],[refute_0_5061:[bind(X,$fot(t5))]]) ).
cnf(refute_0_5063,plain,
xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2))))) = xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2))))),
introduced(tautology,[refl,[$fot(xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2))))))]]) ).
cnf(refute_0_5064,plain,
( xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2))))) != xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2)))))
| xor(t5,and(or(carry,t2),or(t5,not(t2)))) != xor(t5,not(xor(t2,t5)))
| xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2))))) = xor(t2,xor(t5,not(xor(t2,t5)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2))))),xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2)))))) ),[1,1],$fot(xor(t5,not(xor(t2,t5))))]]) ).
cnf(refute_0_5065,plain,
( xor(t5,and(or(carry,t2),or(t5,not(t2)))) != xor(t5,not(xor(t2,t5)))
| xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2))))) = xor(t2,xor(t5,not(xor(t2,t5)))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2))))),xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2)))))) )],[refute_0_5063,refute_0_5064]) ).
cnf(refute_0_5066,plain,
xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2))))) = xor(t2,xor(t5,not(xor(t2,t5)))),
inference(resolve,[$cnf( $equal(xor(t5,and(or(carry,t2),or(t5,not(t2)))),xor(t5,not(xor(t2,t5)))) )],[refute_0_5062,refute_0_5065]) ).
cnf(refute_0_5067,plain,
( ll1 != xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2)))))
| xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2))))) != xor(t2,xor(t5,not(xor(t2,t5))))
| ll1 = xor(t2,xor(t5,not(xor(t2,t5)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll1,xor(t2,xor(t5,not(xor(t2,t5))))) ),[0],$fot(xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2))))))]]) ).
cnf(refute_0_5068,plain,
( ll1 != xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2)))))
| ll1 = xor(t2,xor(t5,not(xor(t2,t5)))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2))))),xor(t2,xor(t5,not(xor(t2,t5))))) )],[refute_0_5066,refute_0_5067]) ).
cnf(refute_0_5069,plain,
ll1 = xor(t2,xor(t5,not(xor(t2,t5)))),
inference(resolve,[$cnf( $equal(ll1,xor(t2,xor(t5,and(or(carry,t2),or(t5,not(t2)))))) )],[refute_0_5037,refute_0_5068]) ).
cnf(refute_0_5070,plain,
( ll1 != xor(t2,xor(t5,not(xor(t2,t5))))
| xor(t2,xor(t5,not(xor(t2,t5)))) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(xor(t2,xor(t5,not(xor(t2,t5))))))]]) ).
cnf(refute_0_5071,plain,
xor(t2,xor(t5,not(xor(t2,t5)))) = ll1,
inference(resolve,[$cnf( $equal(ll1,xor(t2,xor(t5,not(xor(t2,t5))))) )],[refute_0_5069,refute_0_5070]) ).
cnf(refute_0_5072,plain,
( xor(t2,xor(t5,not(xor(t2,t5)))) != ll1
| xor(xor(t5,not(xor(t2,t5))),t2) != xor(t2,xor(t5,not(xor(t2,t5))))
| xor(xor(t5,not(xor(t2,t5))),t2) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(xor(xor(t5,not(xor(t2,t5))),t2),xor(t2,xor(t5,not(xor(t2,t5))))) ),[1],$fot(ll1)]]) ).
cnf(refute_0_5073,plain,
( xor(xor(t5,not(xor(t2,t5))),t2) != xor(t2,xor(t5,not(xor(t2,t5))))
| xor(xor(t5,not(xor(t2,t5))),t2) = ll1 ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t5,not(xor(t2,t5)))),ll1) )],[refute_0_5071,refute_0_5072]) ).
cnf(refute_0_5074,plain,
xor(xor(t5,not(xor(t2,t5))),t2) = ll1,
inference(resolve,[$cnf( $equal(xor(xor(t5,not(xor(t2,t5))),t2),xor(t2,xor(t5,not(xor(t2,t5))))) )],[refute_0_4976,refute_0_5073]) ).
cnf(refute_0_5075,plain,
xor(xor(t2,t5),not(t2)) = xor(t2,xor(t5,not(t2))),
inference(subst,[],[refute_0_526:[bind(X,$fot(t2)),bind(Y,$fot(t5)),bind(Z,$fot(not(t2)))]]) ).
cnf(refute_0_5076,plain,
xor(not(xor(t2,t5)),t2) = xor(xor(t2,t5),not(t2)),
inference(subst,[],[refute_0_468:[bind(Y,$fot(t2)),bind(X_63,$fot(xor(t2,t5)))]]) ).
cnf(refute_0_5077,plain,
( xor(not(xor(t2,t5)),t2) != xor(xor(t2,t5),not(t2))
| xor(xor(t2,t5),not(t2)) != xor(t2,xor(t5,not(t2)))
| xor(not(xor(t2,t5)),t2) = xor(t2,xor(t5,not(t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(not(xor(t2,t5)),t2))),bind(Y0,$fot(xor(xor(t2,t5),not(t2)))),bind(Z0,$fot(xor(t2,xor(t5,not(t2)))))]]) ).
cnf(refute_0_5078,plain,
( xor(xor(t2,t5),not(t2)) != xor(t2,xor(t5,not(t2)))
| xor(not(xor(t2,t5)),t2) = xor(t2,xor(t5,not(t2))) ),
inference(resolve,[$cnf( $equal(xor(not(xor(t2,t5)),t2),xor(xor(t2,t5),not(t2))) )],[refute_0_5076,refute_0_5077]) ).
cnf(refute_0_5079,plain,
xor(not(xor(t2,t5)),t2) = xor(t2,xor(t5,not(t2))),
inference(resolve,[$cnf( $equal(xor(xor(t2,t5),not(t2)),xor(t2,xor(t5,not(t2)))) )],[refute_0_5075,refute_0_5078]) ).
cnf(refute_0_5080,plain,
xor(t5,xor(not(xor(t2,t5)),t2)) = xor(t5,xor(not(xor(t2,t5)),t2)),
introduced(tautology,[refl,[$fot(xor(t5,xor(not(xor(t2,t5)),t2)))]]) ).
cnf(refute_0_5081,plain,
( xor(not(xor(t2,t5)),t2) != xor(t2,xor(t5,not(t2)))
| xor(t5,xor(not(xor(t2,t5)),t2)) != xor(t5,xor(not(xor(t2,t5)),t2))
| xor(t5,xor(not(xor(t2,t5)),t2)) = xor(t5,xor(t2,xor(t5,not(t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t5,xor(not(xor(t2,t5)),t2)),xor(t5,xor(not(xor(t2,t5)),t2))) ),[1,1],$fot(xor(t2,xor(t5,not(t2))))]]) ).
cnf(refute_0_5082,plain,
( xor(not(xor(t2,t5)),t2) != xor(t2,xor(t5,not(t2)))
| xor(t5,xor(not(xor(t2,t5)),t2)) = xor(t5,xor(t2,xor(t5,not(t2)))) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(not(xor(t2,t5)),t2)),xor(t5,xor(not(xor(t2,t5)),t2))) )],[refute_0_5080,refute_0_5081]) ).
cnf(refute_0_5083,plain,
xor(t5,xor(not(xor(t2,t5)),t2)) = xor(t5,xor(t2,xor(t5,not(t2)))),
inference(resolve,[$cnf( $equal(xor(not(xor(t2,t5)),t2),xor(t2,xor(t5,not(t2)))) )],[refute_0_5079,refute_0_5082]) ).
cnf(refute_0_5084,plain,
xor(xor(t5,not(xor(t2,t5))),t2) = xor(t5,xor(not(xor(t2,t5)),t2)),
inference(subst,[],[refute_0_526:[bind(X,$fot(t5)),bind(Y,$fot(not(xor(t2,t5)))),bind(Z,$fot(t2))]]) ).
cnf(refute_0_5085,plain,
( xor(t5,xor(not(xor(t2,t5)),t2)) != xor(t5,xor(t2,xor(t5,not(t2))))
| xor(xor(t5,not(xor(t2,t5))),t2) != xor(t5,xor(not(xor(t2,t5)),t2))
| xor(xor(t5,not(xor(t2,t5))),t2) = xor(t5,xor(t2,xor(t5,not(t2)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(t5,not(xor(t2,t5))),t2))),bind(Y0,$fot(xor(t5,xor(not(xor(t2,t5)),t2)))),bind(Z0,$fot(xor(t5,xor(t2,xor(t5,not(t2))))))]]) ).
cnf(refute_0_5086,plain,
( xor(t5,xor(not(xor(t2,t5)),t2)) != xor(t5,xor(t2,xor(t5,not(t2))))
| xor(xor(t5,not(xor(t2,t5))),t2) = xor(t5,xor(t2,xor(t5,not(t2)))) ),
inference(resolve,[$cnf( $equal(xor(xor(t5,not(xor(t2,t5))),t2),xor(t5,xor(not(xor(t2,t5)),t2))) )],[refute_0_5084,refute_0_5085]) ).
cnf(refute_0_5087,plain,
xor(xor(t5,not(xor(t2,t5))),t2) = xor(t5,xor(t2,xor(t5,not(t2)))),
inference(resolve,[$cnf( $equal(xor(t5,xor(not(xor(t2,t5)),t2)),xor(t5,xor(t2,xor(t5,not(t2))))) )],[refute_0_5083,refute_0_5086]) ).
cnf(refute_0_5088,plain,
( xor(xor(t5,not(xor(t2,t5))),t2) != ll1
| xor(xor(t5,not(xor(t2,t5))),t2) != xor(t5,xor(t2,xor(t5,not(t2))))
| xor(t5,xor(t2,xor(t5,not(t2)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(xor(xor(t5,not(xor(t2,t5))),t2),ll1) ),[0],$fot(xor(t5,xor(t2,xor(t5,not(t2)))))]]) ).
cnf(refute_0_5089,plain,
( xor(xor(t5,not(xor(t2,t5))),t2) != ll1
| xor(t5,xor(t2,xor(t5,not(t2)))) = ll1 ),
inference(resolve,[$cnf( $equal(xor(xor(t5,not(xor(t2,t5))),t2),xor(t5,xor(t2,xor(t5,not(t2))))) )],[refute_0_5087,refute_0_5088]) ).
cnf(refute_0_5090,plain,
xor(t5,xor(t2,xor(t5,not(t2)))) = ll1,
inference(resolve,[$cnf( $equal(xor(xor(t5,not(xor(t2,t5))),t2),ll1) )],[refute_0_5074,refute_0_5089]) ).
cnf(refute_0_5091,plain,
( xor(t5,xor(t2,xor(t5,not(t2)))) != ll1
| xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335)) != xor(xor(t5,xor(t2,xor(t5,not(t2)))),X_335)
| xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335)) = xor(ll1,X_335) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335)),xor(xor(t5,xor(t2,xor(t5,not(t2)))),X_335)) ),[1,0],$fot(ll1)]]) ).
cnf(refute_0_5092,plain,
( xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335)) != xor(xor(t5,xor(t2,xor(t5,not(t2)))),X_335)
| xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335)) = xor(ll1,X_335) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(t2,xor(t5,not(t2)))),ll1) )],[refute_0_5090,refute_0_5091]) ).
cnf(refute_0_5093,plain,
xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335)) = xor(ll1,X_335),
inference(resolve,[$cnf( $equal(xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335)),xor(xor(t5,xor(t2,xor(t5,not(t2)))),X_335)) )],[refute_0_4975,refute_0_5092]) ).
cnf(refute_0_5094,plain,
xor(t5,not(xor(X_335,t5))) = not(xor(t5,xor(X_335,t5))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t5)),bind(X_334,$fot(xor(X_335,t5)))]]) ).
cnf(refute_0_5095,plain,
xor(X_333,xor(t5,xor(t2,xor(t5,not(t2))))) = xor(xor(X_333,t5),xor(t2,xor(t5,not(t2)))),
inference(subst,[],[xor_associative:[bind(X,$fot(X_333)),bind(Y,$fot(t5)),bind(Z,$fot(xor(t2,xor(t5,not(t2)))))]]) ).
cnf(refute_0_5096,plain,
( xor(X_333,xor(t5,xor(t2,xor(t5,not(t2))))) != xor(xor(X_333,t5),xor(t2,xor(t5,not(t2))))
| xor(t5,xor(t2,xor(t5,not(t2)))) != ll1
| xor(X_333,ll1) = xor(xor(X_333,t5),xor(t2,xor(t5,not(t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,xor(t5,xor(t2,xor(t5,not(t2))))),xor(xor(X_333,t5),xor(t2,xor(t5,not(t2))))) ),[0,1],$fot(ll1)]]) ).
cnf(refute_0_5097,plain,
( xor(X_333,xor(t5,xor(t2,xor(t5,not(t2))))) != xor(xor(X_333,t5),xor(t2,xor(t5,not(t2))))
| xor(X_333,ll1) = xor(xor(X_333,t5),xor(t2,xor(t5,not(t2)))) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(t2,xor(t5,not(t2)))),ll1) )],[refute_0_5090,refute_0_5096]) ).
cnf(refute_0_5098,plain,
xor(X_333,ll1) = xor(xor(X_333,t5),xor(t2,xor(t5,not(t2)))),
inference(resolve,[$cnf( $equal(xor(X_333,xor(t5,xor(t2,xor(t5,not(t2))))),xor(xor(X_333,t5),xor(t2,xor(t5,not(t2))))) )],[refute_0_5095,refute_0_5097]) ).
cnf(refute_0_5099,plain,
( xor(X_333,ll1) != not(X_333)
| xor(X_333,ll1) != xor(xor(X_333,t5),xor(t2,xor(t5,not(t2))))
| not(X_333) = xor(xor(X_333,t5),xor(t2,xor(t5,not(t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,ll1),xor(xor(X_333,t5),xor(t2,xor(t5,not(t2))))) ),[0],$fot(not(X_333))]]) ).
cnf(refute_0_5100,plain,
( xor(X_333,ll1) != xor(xor(X_333,t5),xor(t2,xor(t5,not(t2))))
| not(X_333) = xor(xor(X_333,t5),xor(t2,xor(t5,not(t2)))) ),
inference(resolve,[$cnf( $equal(xor(X_333,ll1),not(X_333)) )],[refute_0_3465,refute_0_5099]) ).
cnf(refute_0_5101,plain,
xor(t2,not(xor(t2,X_333))) = not(xor(t2,xor(t2,X_333))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t2)),bind(X_334,$fot(xor(t2,X_333)))]]) ).
cnf(refute_0_5102,plain,
xor(X_333,ll0) = X_333,
inference(subst,[],[refute_0_1378:[bind(X_63,$fot(X_333))]]) ).
cnf(refute_0_5103,plain,
xor(X_333,xor(t5,t5)) = xor(X_333,xor(t5,t5)),
introduced(tautology,[refl,[$fot(xor(X_333,xor(t5,t5)))]]) ).
cnf(refute_0_5104,plain,
( xor(X_333,xor(t5,t5)) != xor(X_333,xor(t5,t5))
| xor(t5,t5) != ll0
| xor(X_333,xor(t5,t5)) = xor(X_333,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,xor(t5,t5)),xor(X_333,xor(t5,t5))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_5105,plain,
( xor(t5,t5) != ll0
| xor(X_333,xor(t5,t5)) = xor(X_333,ll0) ),
inference(resolve,[$cnf( $equal(xor(X_333,xor(t5,t5)),xor(X_333,xor(t5,t5))) )],[refute_0_5103,refute_0_5104]) ).
cnf(refute_0_5106,plain,
xor(X_333,xor(t5,t5)) = xor(X_333,ll0),
inference(resolve,[$cnf( $equal(xor(t5,t5),ll0) )],[refute_0_1354,refute_0_5105]) ).
cnf(refute_0_5107,plain,
( xor(X_333,ll0) != X_333
| xor(X_333,xor(t5,t5)) != xor(X_333,ll0)
| xor(X_333,xor(t5,t5)) = X_333 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(X_333,xor(t5,t5)))),bind(Y0,$fot(xor(X_333,ll0))),bind(Z0,$fot(X_333))]]) ).
cnf(refute_0_5108,plain,
( xor(X_333,ll0) != X_333
| xor(X_333,xor(t5,t5)) = X_333 ),
inference(resolve,[$cnf( $equal(xor(X_333,xor(t5,t5)),xor(X_333,ll0)) )],[refute_0_5106,refute_0_5107]) ).
cnf(refute_0_5109,plain,
xor(X_333,xor(t5,t5)) = X_333,
inference(resolve,[$cnf( $equal(xor(X_333,ll0),X_333) )],[refute_0_5102,refute_0_5108]) ).
cnf(refute_0_5110,plain,
xor(xor(X_333,t5),t5) = xor(X_333,xor(t5,t5)),
inference(subst,[],[refute_0_526:[bind(X,$fot(X_333)),bind(Y,$fot(t5)),bind(Z,$fot(t5))]]) ).
cnf(refute_0_5111,plain,
( xor(X_333,xor(t5,t5)) != X_333
| xor(xor(X_333,t5),t5) != xor(X_333,xor(t5,t5))
| xor(xor(X_333,t5),t5) = X_333 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X_333,t5),t5))),bind(Y0,$fot(xor(X_333,xor(t5,t5)))),bind(Z0,$fot(X_333))]]) ).
cnf(refute_0_5112,plain,
( xor(X_333,xor(t5,t5)) != X_333
| xor(xor(X_333,t5),t5) = X_333 ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,t5),t5),xor(X_333,xor(t5,t5))) )],[refute_0_5110,refute_0_5111]) ).
cnf(refute_0_5113,plain,
xor(xor(X_333,t5),t5) = X_333,
inference(resolve,[$cnf( $equal(xor(X_333,xor(t5,t5)),X_333) )],[refute_0_5109,refute_0_5112]) ).
cnf(refute_0_5114,plain,
xor(t2,xor(xor(X_333,t5),t5)) = xor(t2,xor(xor(X_333,t5),t5)),
introduced(tautology,[refl,[$fot(xor(t2,xor(xor(X_333,t5),t5)))]]) ).
cnf(refute_0_5115,plain,
( xor(t2,xor(xor(X_333,t5),t5)) != xor(t2,xor(xor(X_333,t5),t5))
| xor(xor(X_333,t5),t5) != X_333
| xor(t2,xor(xor(X_333,t5),t5)) = xor(t2,X_333) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,xor(xor(X_333,t5),t5)),xor(t2,xor(xor(X_333,t5),t5))) ),[1,1],$fot(X_333)]]) ).
cnf(refute_0_5116,plain,
( xor(xor(X_333,t5),t5) != X_333
| xor(t2,xor(xor(X_333,t5),t5)) = xor(t2,X_333) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(xor(X_333,t5),t5)),xor(t2,xor(xor(X_333,t5),t5))) )],[refute_0_5114,refute_0_5115]) ).
cnf(refute_0_5117,plain,
xor(t2,xor(xor(X_333,t5),t5)) = xor(t2,X_333),
inference(resolve,[$cnf( $equal(xor(xor(X_333,t5),t5),X_333) )],[refute_0_5113,refute_0_5116]) ).
cnf(refute_0_5118,plain,
xor(t5,xor(t2,xor(X_333,t5))) = xor(t2,xor(xor(X_333,t5),t5)),
inference(subst,[],[refute_0_1451:[bind(X,$fot(t5)),bind(X_333,$fot(t2)),bind(X_334,$fot(xor(X_333,t5)))]]) ).
cnf(refute_0_5119,plain,
( xor(t2,xor(xor(X_333,t5),t5)) != xor(t2,X_333)
| xor(t5,xor(t2,xor(X_333,t5))) != xor(t2,xor(xor(X_333,t5),t5))
| xor(t5,xor(t2,xor(X_333,t5))) = xor(t2,X_333) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t5,xor(t2,xor(X_333,t5))))),bind(Y0,$fot(xor(t2,xor(xor(X_333,t5),t5)))),bind(Z0,$fot(xor(t2,X_333)))]]) ).
cnf(refute_0_5120,plain,
( xor(t2,xor(xor(X_333,t5),t5)) != xor(t2,X_333)
| xor(t5,xor(t2,xor(X_333,t5))) = xor(t2,X_333) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(t2,xor(X_333,t5))),xor(t2,xor(xor(X_333,t5),t5))) )],[refute_0_5118,refute_0_5119]) ).
cnf(refute_0_5121,plain,
xor(t5,xor(t2,xor(X_333,t5))) = xor(t2,X_333),
inference(resolve,[$cnf( $equal(xor(t2,xor(xor(X_333,t5),t5)),xor(t2,X_333)) )],[refute_0_5117,refute_0_5120]) ).
cnf(refute_0_5122,plain,
not(xor(t5,xor(t2,xor(X_333,t5)))) = not(xor(t5,xor(t2,xor(X_333,t5)))),
introduced(tautology,[refl,[$fot(not(xor(t5,xor(t2,xor(X_333,t5)))))]]) ).
cnf(refute_0_5123,plain,
( not(xor(t5,xor(t2,xor(X_333,t5)))) != not(xor(t5,xor(t2,xor(X_333,t5))))
| xor(t5,xor(t2,xor(X_333,t5))) != xor(t2,X_333)
| not(xor(t5,xor(t2,xor(X_333,t5)))) = not(xor(t2,X_333)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t5,xor(t2,xor(X_333,t5)))),not(xor(t5,xor(t2,xor(X_333,t5))))) ),[1,0],$fot(xor(t2,X_333))]]) ).
cnf(refute_0_5124,plain,
( xor(t5,xor(t2,xor(X_333,t5))) != xor(t2,X_333)
| not(xor(t5,xor(t2,xor(X_333,t5)))) = not(xor(t2,X_333)) ),
inference(resolve,[$cnf( $equal(not(xor(t5,xor(t2,xor(X_333,t5)))),not(xor(t5,xor(t2,xor(X_333,t5))))) )],[refute_0_5122,refute_0_5123]) ).
cnf(refute_0_5125,plain,
not(xor(t5,xor(t2,xor(X_333,t5)))) = not(xor(t2,X_333)),
inference(resolve,[$cnf( $equal(xor(t5,xor(t2,xor(X_333,t5))),xor(t2,X_333)) )],[refute_0_5121,refute_0_5124]) ).
cnf(refute_0_5126,plain,
xor(t5,not(xor(t2,xor(X_333,t5)))) = not(xor(t5,xor(t2,xor(X_333,t5)))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t5)),bind(X_334,$fot(xor(t2,xor(X_333,t5))))]]) ).
cnf(refute_0_5127,plain,
( not(xor(t5,xor(t2,xor(X_333,t5)))) != not(xor(t2,X_333))
| xor(t5,not(xor(t2,xor(X_333,t5)))) != not(xor(t5,xor(t2,xor(X_333,t5))))
| xor(t5,not(xor(t2,xor(X_333,t5)))) = not(xor(t2,X_333)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t5,not(xor(t2,xor(X_333,t5)))))),bind(Y0,$fot(not(xor(t5,xor(t2,xor(X_333,t5)))))),bind(Z0,$fot(not(xor(t2,X_333))))]]) ).
cnf(refute_0_5128,plain,
( not(xor(t5,xor(t2,xor(X_333,t5)))) != not(xor(t2,X_333))
| xor(t5,not(xor(t2,xor(X_333,t5)))) = not(xor(t2,X_333)) ),
inference(resolve,[$cnf( $equal(xor(t5,not(xor(t2,xor(X_333,t5)))),not(xor(t5,xor(t2,xor(X_333,t5))))) )],[refute_0_5126,refute_0_5127]) ).
cnf(refute_0_5129,plain,
xor(t5,not(xor(t2,xor(X_333,t5)))) = not(xor(t2,X_333)),
inference(resolve,[$cnf( $equal(not(xor(t5,xor(t2,xor(X_333,t5)))),not(xor(t2,X_333))) )],[refute_0_5125,refute_0_5128]) ).
cnf(refute_0_5130,plain,
xor(t5,xor(t2,X_333)) = xor(t2,xor(X_333,t5)),
inference(subst,[],[refute_0_1451:[bind(X,$fot(t5)),bind(X_333,$fot(t2)),bind(X_334,$fot(X_333))]]) ).
cnf(refute_0_5131,plain,
not(xor(t5,xor(t2,X_333))) = not(xor(t5,xor(t2,X_333))),
introduced(tautology,[refl,[$fot(not(xor(t5,xor(t2,X_333))))]]) ).
cnf(refute_0_5132,plain,
( not(xor(t5,xor(t2,X_333))) != not(xor(t5,xor(t2,X_333)))
| xor(t5,xor(t2,X_333)) != xor(t2,xor(X_333,t5))
| not(xor(t5,xor(t2,X_333))) = not(xor(t2,xor(X_333,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t5,xor(t2,X_333))),not(xor(t5,xor(t2,X_333)))) ),[1,0],$fot(xor(t2,xor(X_333,t5)))]]) ).
cnf(refute_0_5133,plain,
( xor(t5,xor(t2,X_333)) != xor(t2,xor(X_333,t5))
| not(xor(t5,xor(t2,X_333))) = not(xor(t2,xor(X_333,t5))) ),
inference(resolve,[$cnf( $equal(not(xor(t5,xor(t2,X_333))),not(xor(t5,xor(t2,X_333)))) )],[refute_0_5131,refute_0_5132]) ).
cnf(refute_0_5134,plain,
not(xor(t5,xor(t2,X_333))) = not(xor(t2,xor(X_333,t5))),
inference(resolve,[$cnf( $equal(xor(t5,xor(t2,X_333)),xor(t2,xor(X_333,t5))) )],[refute_0_5130,refute_0_5133]) ).
cnf(refute_0_5135,plain,
xor(t5,not(xor(t2,X_333))) = not(xor(t5,xor(t2,X_333))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t5)),bind(X_334,$fot(xor(t2,X_333)))]]) ).
cnf(refute_0_5136,plain,
( not(xor(t5,xor(t2,X_333))) != not(xor(t2,xor(X_333,t5)))
| xor(t5,not(xor(t2,X_333))) != not(xor(t5,xor(t2,X_333)))
| xor(t5,not(xor(t2,X_333))) = not(xor(t2,xor(X_333,t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t5,not(xor(t2,X_333))))),bind(Y0,$fot(not(xor(t5,xor(t2,X_333))))),bind(Z0,$fot(not(xor(t2,xor(X_333,t5)))))]]) ).
cnf(refute_0_5137,plain,
( not(xor(t5,xor(t2,X_333))) != not(xor(t2,xor(X_333,t5)))
| xor(t5,not(xor(t2,X_333))) = not(xor(t2,xor(X_333,t5))) ),
inference(resolve,[$cnf( $equal(xor(t5,not(xor(t2,X_333))),not(xor(t5,xor(t2,X_333)))) )],[refute_0_5135,refute_0_5136]) ).
cnf(refute_0_5138,plain,
xor(t5,not(xor(t2,X_333))) = not(xor(t2,xor(X_333,t5))),
inference(resolve,[$cnf( $equal(not(xor(t5,xor(t2,X_333))),not(xor(t2,xor(X_333,t5)))) )],[refute_0_5134,refute_0_5137]) ).
cnf(refute_0_5139,plain,
xor(t2,not(X_333)) = not(xor(t2,X_333)),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t2)),bind(X_334,$fot(X_333))]]) ).
cnf(refute_0_5140,plain,
xor(not(t2),X_333) = xor(t2,not(X_333)),
inference(subst,[],[refute_0_468:[bind(Y,$fot(X_333)),bind(X_63,$fot(t2))]]) ).
cnf(refute_0_5141,plain,
( xor(not(t2),X_333) != xor(t2,not(X_333))
| xor(t2,not(X_333)) != not(xor(t2,X_333))
| xor(not(t2),X_333) = not(xor(t2,X_333)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(not(t2),X_333))),bind(Y0,$fot(xor(t2,not(X_333)))),bind(Z0,$fot(not(xor(t2,X_333))))]]) ).
cnf(refute_0_5142,plain,
( xor(t2,not(X_333)) != not(xor(t2,X_333))
| xor(not(t2),X_333) = not(xor(t2,X_333)) ),
inference(resolve,[$cnf( $equal(xor(not(t2),X_333),xor(t2,not(X_333))) )],[refute_0_5140,refute_0_5141]) ).
cnf(refute_0_5143,plain,
xor(not(t2),X_333) = not(xor(t2,X_333)),
inference(resolve,[$cnf( $equal(xor(t2,not(X_333)),not(xor(t2,X_333))) )],[refute_0_5139,refute_0_5142]) ).
cnf(refute_0_5144,plain,
xor(t5,xor(not(t2),X_333)) = xor(t5,xor(not(t2),X_333)),
introduced(tautology,[refl,[$fot(xor(t5,xor(not(t2),X_333)))]]) ).
cnf(refute_0_5145,plain,
( xor(not(t2),X_333) != not(xor(t2,X_333))
| xor(t5,xor(not(t2),X_333)) != xor(t5,xor(not(t2),X_333))
| xor(t5,xor(not(t2),X_333)) = xor(t5,not(xor(t2,X_333))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t5,xor(not(t2),X_333)),xor(t5,xor(not(t2),X_333))) ),[1,1],$fot(not(xor(t2,X_333)))]]) ).
cnf(refute_0_5146,plain,
( xor(not(t2),X_333) != not(xor(t2,X_333))
| xor(t5,xor(not(t2),X_333)) = xor(t5,not(xor(t2,X_333))) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(not(t2),X_333)),xor(t5,xor(not(t2),X_333))) )],[refute_0_5144,refute_0_5145]) ).
cnf(refute_0_5147,plain,
xor(t5,xor(not(t2),X_333)) = xor(t5,not(xor(t2,X_333))),
inference(resolve,[$cnf( $equal(xor(not(t2),X_333),not(xor(t2,X_333))) )],[refute_0_5143,refute_0_5146]) ).
cnf(refute_0_5148,plain,
( xor(t5,not(xor(t2,X_333))) != not(xor(t2,xor(X_333,t5)))
| xor(t5,xor(not(t2),X_333)) != xor(t5,not(xor(t2,X_333)))
| xor(t5,xor(not(t2),X_333)) = not(xor(t2,xor(X_333,t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t5,xor(not(t2),X_333)))),bind(Y0,$fot(xor(t5,not(xor(t2,X_333))))),bind(Z0,$fot(not(xor(t2,xor(X_333,t5)))))]]) ).
cnf(refute_0_5149,plain,
( xor(t5,not(xor(t2,X_333))) != not(xor(t2,xor(X_333,t5)))
| xor(t5,xor(not(t2),X_333)) = not(xor(t2,xor(X_333,t5))) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(not(t2),X_333)),xor(t5,not(xor(t2,X_333)))) )],[refute_0_5147,refute_0_5148]) ).
cnf(refute_0_5150,plain,
xor(t5,xor(not(t2),X_333)) = not(xor(t2,xor(X_333,t5))),
inference(resolve,[$cnf( $equal(xor(t5,not(xor(t2,X_333))),not(xor(t2,xor(X_333,t5)))) )],[refute_0_5138,refute_0_5149]) ).
cnf(refute_0_5151,plain,
xor(xor(t5,not(t2)),X_333) = xor(t5,xor(not(t2),X_333)),
inference(subst,[],[refute_0_526:[bind(X,$fot(t5)),bind(Y,$fot(not(t2))),bind(Z,$fot(X_333))]]) ).
cnf(refute_0_5152,plain,
( xor(t5,xor(not(t2),X_333)) != not(xor(t2,xor(X_333,t5)))
| xor(xor(t5,not(t2)),X_333) != xor(t5,xor(not(t2),X_333))
| xor(xor(t5,not(t2)),X_333) = not(xor(t2,xor(X_333,t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(t5,not(t2)),X_333))),bind(Y0,$fot(xor(t5,xor(not(t2),X_333)))),bind(Z0,$fot(not(xor(t2,xor(X_333,t5)))))]]) ).
cnf(refute_0_5153,plain,
( xor(t5,xor(not(t2),X_333)) != not(xor(t2,xor(X_333,t5)))
| xor(xor(t5,not(t2)),X_333) = not(xor(t2,xor(X_333,t5))) ),
inference(resolve,[$cnf( $equal(xor(xor(t5,not(t2)),X_333),xor(t5,xor(not(t2),X_333))) )],[refute_0_5151,refute_0_5152]) ).
cnf(refute_0_5154,plain,
xor(xor(t5,not(t2)),X_333) = not(xor(t2,xor(X_333,t5))),
inference(resolve,[$cnf( $equal(xor(t5,xor(not(t2),X_333)),not(xor(t2,xor(X_333,t5)))) )],[refute_0_5150,refute_0_5153]) ).
cnf(refute_0_5155,plain,
xor(t5,xor(xor(t5,not(t2)),X_333)) = xor(t5,xor(xor(t5,not(t2)),X_333)),
introduced(tautology,[refl,[$fot(xor(t5,xor(xor(t5,not(t2)),X_333)))]]) ).
cnf(refute_0_5156,plain,
( xor(t5,xor(xor(t5,not(t2)),X_333)) != xor(t5,xor(xor(t5,not(t2)),X_333))
| xor(xor(t5,not(t2)),X_333) != not(xor(t2,xor(X_333,t5)))
| xor(t5,xor(xor(t5,not(t2)),X_333)) = xor(t5,not(xor(t2,xor(X_333,t5)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t5,xor(xor(t5,not(t2)),X_333)),xor(t5,xor(xor(t5,not(t2)),X_333))) ),[1,1],$fot(not(xor(t2,xor(X_333,t5))))]]) ).
cnf(refute_0_5157,plain,
( xor(xor(t5,not(t2)),X_333) != not(xor(t2,xor(X_333,t5)))
| xor(t5,xor(xor(t5,not(t2)),X_333)) = xor(t5,not(xor(t2,xor(X_333,t5)))) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(xor(t5,not(t2)),X_333)),xor(t5,xor(xor(t5,not(t2)),X_333))) )],[refute_0_5155,refute_0_5156]) ).
cnf(refute_0_5158,plain,
xor(t5,xor(xor(t5,not(t2)),X_333)) = xor(t5,not(xor(t2,xor(X_333,t5)))),
inference(resolve,[$cnf( $equal(xor(xor(t5,not(t2)),X_333),not(xor(t2,xor(X_333,t5)))) )],[refute_0_5154,refute_0_5157]) ).
cnf(refute_0_5159,plain,
( xor(t5,not(xor(t2,xor(X_333,t5)))) != not(xor(t2,X_333))
| xor(t5,xor(xor(t5,not(t2)),X_333)) != xor(t5,not(xor(t2,xor(X_333,t5))))
| xor(t5,xor(xor(t5,not(t2)),X_333)) = not(xor(t2,X_333)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t5,xor(xor(t5,not(t2)),X_333)))),bind(Y0,$fot(xor(t5,not(xor(t2,xor(X_333,t5)))))),bind(Z0,$fot(not(xor(t2,X_333))))]]) ).
cnf(refute_0_5160,plain,
( xor(t5,not(xor(t2,xor(X_333,t5)))) != not(xor(t2,X_333))
| xor(t5,xor(xor(t5,not(t2)),X_333)) = not(xor(t2,X_333)) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(xor(t5,not(t2)),X_333)),xor(t5,not(xor(t2,xor(X_333,t5))))) )],[refute_0_5158,refute_0_5159]) ).
cnf(refute_0_5161,plain,
xor(t5,xor(xor(t5,not(t2)),X_333)) = not(xor(t2,X_333)),
inference(resolve,[$cnf( $equal(xor(t5,not(xor(t2,xor(X_333,t5)))),not(xor(t2,X_333))) )],[refute_0_5129,refute_0_5160]) ).
cnf(refute_0_5162,plain,
xor(xor(t5,not(t2)),xor(X_333,t5)) = xor(t5,xor(xor(t5,not(t2)),X_333)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(t5)),bind(X_333,$fot(xor(t5,not(t2)))),bind(X_334,$fot(X_333))]]) ).
cnf(refute_0_5163,plain,
( xor(t5,xor(xor(t5,not(t2)),X_333)) != not(xor(t2,X_333))
| xor(xor(t5,not(t2)),xor(X_333,t5)) != xor(t5,xor(xor(t5,not(t2)),X_333))
| xor(xor(t5,not(t2)),xor(X_333,t5)) = not(xor(t2,X_333)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(t5,not(t2)),xor(X_333,t5)))),bind(Y0,$fot(xor(t5,xor(xor(t5,not(t2)),X_333)))),bind(Z0,$fot(not(xor(t2,X_333))))]]) ).
cnf(refute_0_5164,plain,
( xor(t5,xor(xor(t5,not(t2)),X_333)) != not(xor(t2,X_333))
| xor(xor(t5,not(t2)),xor(X_333,t5)) = not(xor(t2,X_333)) ),
inference(resolve,[$cnf( $equal(xor(xor(t5,not(t2)),xor(X_333,t5)),xor(t5,xor(xor(t5,not(t2)),X_333))) )],[refute_0_5162,refute_0_5163]) ).
cnf(refute_0_5165,plain,
xor(xor(t5,not(t2)),xor(X_333,t5)) = not(xor(t2,X_333)),
inference(resolve,[$cnf( $equal(xor(t5,xor(xor(t5,not(t2)),X_333)),not(xor(t2,X_333))) )],[refute_0_5161,refute_0_5164]) ).
cnf(refute_0_5166,plain,
xor(t2,xor(xor(t5,not(t2)),xor(X_333,t5))) = xor(t2,xor(xor(t5,not(t2)),xor(X_333,t5))),
introduced(tautology,[refl,[$fot(xor(t2,xor(xor(t5,not(t2)),xor(X_333,t5))))]]) ).
cnf(refute_0_5167,plain,
( xor(t2,xor(xor(t5,not(t2)),xor(X_333,t5))) != xor(t2,xor(xor(t5,not(t2)),xor(X_333,t5)))
| xor(xor(t5,not(t2)),xor(X_333,t5)) != not(xor(t2,X_333))
| xor(t2,xor(xor(t5,not(t2)),xor(X_333,t5))) = xor(t2,not(xor(t2,X_333))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,xor(xor(t5,not(t2)),xor(X_333,t5))),xor(t2,xor(xor(t5,not(t2)),xor(X_333,t5)))) ),[1,1],$fot(not(xor(t2,X_333)))]]) ).
cnf(refute_0_5168,plain,
( xor(xor(t5,not(t2)),xor(X_333,t5)) != not(xor(t2,X_333))
| xor(t2,xor(xor(t5,not(t2)),xor(X_333,t5))) = xor(t2,not(xor(t2,X_333))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(xor(t5,not(t2)),xor(X_333,t5))),xor(t2,xor(xor(t5,not(t2)),xor(X_333,t5)))) )],[refute_0_5166,refute_0_5167]) ).
cnf(refute_0_5169,plain,
xor(t2,xor(xor(t5,not(t2)),xor(X_333,t5))) = xor(t2,not(xor(t2,X_333))),
inference(resolve,[$cnf( $equal(xor(xor(t5,not(t2)),xor(X_333,t5)),not(xor(t2,X_333))) )],[refute_0_5165,refute_0_5168]) ).
cnf(refute_0_5170,plain,
( xor(t2,not(xor(t2,X_333))) != not(xor(t2,xor(t2,X_333)))
| xor(t2,xor(xor(t5,not(t2)),xor(X_333,t5))) != xor(t2,not(xor(t2,X_333)))
| xor(t2,xor(xor(t5,not(t2)),xor(X_333,t5))) = not(xor(t2,xor(t2,X_333))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,xor(xor(t5,not(t2)),xor(X_333,t5))))),bind(Y0,$fot(xor(t2,not(xor(t2,X_333))))),bind(Z0,$fot(not(xor(t2,xor(t2,X_333)))))]]) ).
cnf(refute_0_5171,plain,
( xor(t2,not(xor(t2,X_333))) != not(xor(t2,xor(t2,X_333)))
| xor(t2,xor(xor(t5,not(t2)),xor(X_333,t5))) = not(xor(t2,xor(t2,X_333))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(xor(t5,not(t2)),xor(X_333,t5))),xor(t2,not(xor(t2,X_333)))) )],[refute_0_5169,refute_0_5170]) ).
cnf(refute_0_5172,plain,
xor(t2,xor(xor(t5,not(t2)),xor(X_333,t5))) = not(xor(t2,xor(t2,X_333))),
inference(resolve,[$cnf( $equal(xor(t2,not(xor(t2,X_333))),not(xor(t2,xor(t2,X_333)))) )],[refute_0_5101,refute_0_5171]) ).
cnf(refute_0_5173,plain,
xor(xor(X_333,t5),xor(t2,xor(t5,not(t2)))) = xor(t2,xor(xor(t5,not(t2)),xor(X_333,t5))),
inference(subst,[],[refute_0_1451:[bind(X,$fot(xor(X_333,t5))),bind(X_333,$fot(t2)),bind(X_334,$fot(xor(t5,not(t2))))]]) ).
cnf(refute_0_5174,plain,
( xor(t2,xor(xor(t5,not(t2)),xor(X_333,t5))) != not(xor(t2,xor(t2,X_333)))
| xor(xor(X_333,t5),xor(t2,xor(t5,not(t2)))) != xor(t2,xor(xor(t5,not(t2)),xor(X_333,t5)))
| xor(xor(X_333,t5),xor(t2,xor(t5,not(t2)))) = not(xor(t2,xor(t2,X_333))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X_333,t5),xor(t2,xor(t5,not(t2)))))),bind(Y0,$fot(xor(t2,xor(xor(t5,not(t2)),xor(X_333,t5))))),bind(Z0,$fot(not(xor(t2,xor(t2,X_333)))))]]) ).
cnf(refute_0_5175,plain,
( xor(t2,xor(xor(t5,not(t2)),xor(X_333,t5))) != not(xor(t2,xor(t2,X_333)))
| xor(xor(X_333,t5),xor(t2,xor(t5,not(t2)))) = not(xor(t2,xor(t2,X_333))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,t5),xor(t2,xor(t5,not(t2)))),xor(t2,xor(xor(t5,not(t2)),xor(X_333,t5)))) )],[refute_0_5173,refute_0_5174]) ).
cnf(refute_0_5176,plain,
xor(xor(X_333,t5),xor(t2,xor(t5,not(t2)))) = not(xor(t2,xor(t2,X_333))),
inference(resolve,[$cnf( $equal(xor(t2,xor(xor(t5,not(t2)),xor(X_333,t5))),not(xor(t2,xor(t2,X_333)))) )],[refute_0_5172,refute_0_5175]) ).
cnf(refute_0_5177,plain,
( not(X_333) != xor(xor(X_333,t5),xor(t2,xor(t5,not(t2))))
| xor(xor(X_333,t5),xor(t2,xor(t5,not(t2)))) != not(xor(t2,xor(t2,X_333)))
| not(X_333) = not(xor(t2,xor(t2,X_333))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(X_333),not(xor(t2,xor(t2,X_333)))) ),[0],$fot(xor(xor(X_333,t5),xor(t2,xor(t5,not(t2)))))]]) ).
cnf(refute_0_5178,plain,
( not(X_333) != xor(xor(X_333,t5),xor(t2,xor(t5,not(t2))))
| not(X_333) = not(xor(t2,xor(t2,X_333))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,t5),xor(t2,xor(t5,not(t2)))),not(xor(t2,xor(t2,X_333)))) )],[refute_0_5176,refute_0_5177]) ).
cnf(refute_0_5179,plain,
( xor(X_333,ll1) != xor(xor(X_333,t5),xor(t2,xor(t5,not(t2))))
| not(X_333) = not(xor(t2,xor(t2,X_333))) ),
inference(resolve,[$cnf( $equal(not(X_333),xor(xor(X_333,t5),xor(t2,xor(t5,not(t2))))) )],[refute_0_5100,refute_0_5178]) ).
cnf(refute_0_5180,plain,
not(X_333) = not(xor(t2,xor(t2,X_333))),
inference(resolve,[$cnf( $equal(xor(X_333,ll1),xor(xor(X_333,t5),xor(t2,xor(t5,not(t2))))) )],[refute_0_5098,refute_0_5179]) ).
cnf(refute_0_5181,plain,
( not(X_333) != not(xor(t2,xor(t2,X_333)))
| not(xor(t2,xor(t2,X_333))) = not(X_333) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(X_333))),bind(Y0,$fot(not(xor(t2,xor(t2,X_333)))))]]) ).
cnf(refute_0_5182,plain,
not(xor(t2,xor(t2,X_333))) = not(X_333),
inference(resolve,[$cnf( $equal(not(X_333),not(xor(t2,xor(t2,X_333)))) )],[refute_0_5180,refute_0_5181]) ).
cnf(refute_0_5183,plain,
not(xor(t2,xor(t2,xor(X_335,t5)))) = not(xor(X_335,t5)),
inference(subst,[],[refute_0_5182:[bind(X_333,$fot(xor(X_335,t5)))]]) ).
cnf(refute_0_5184,plain,
xor(t2,not(xor(t2,xor(X_335,t5)))) = not(xor(t2,xor(t2,xor(X_335,t5)))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t2)),bind(X_334,$fot(xor(t2,xor(X_335,t5))))]]) ).
cnf(refute_0_5185,plain,
( not(xor(t2,xor(t2,xor(X_335,t5)))) != not(xor(X_335,t5))
| xor(t2,not(xor(t2,xor(X_335,t5)))) != not(xor(t2,xor(t2,xor(X_335,t5))))
| xor(t2,not(xor(t2,xor(X_335,t5)))) = not(xor(X_335,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,not(xor(t2,xor(X_335,t5)))))),bind(Y0,$fot(not(xor(t2,xor(t2,xor(X_335,t5)))))),bind(Z0,$fot(not(xor(X_335,t5))))]]) ).
cnf(refute_0_5186,plain,
( not(xor(t2,xor(t2,xor(X_335,t5)))) != not(xor(X_335,t5))
| xor(t2,not(xor(t2,xor(X_335,t5)))) = not(xor(X_335,t5)) ),
inference(resolve,[$cnf( $equal(xor(t2,not(xor(t2,xor(X_335,t5)))),not(xor(t2,xor(t2,xor(X_335,t5))))) )],[refute_0_5184,refute_0_5185]) ).
cnf(refute_0_5187,plain,
xor(t2,not(xor(t2,xor(X_335,t5)))) = not(xor(X_335,t5)),
inference(resolve,[$cnf( $equal(not(xor(t2,xor(t2,xor(X_335,t5)))),not(xor(X_335,t5))) )],[refute_0_5183,refute_0_5186]) ).
cnf(refute_0_5188,plain,
xor(t5,xor(t2,X_335)) = xor(t2,xor(X_335,t5)),
inference(subst,[],[refute_0_1451:[bind(X,$fot(t5)),bind(X_333,$fot(t2)),bind(X_334,$fot(X_335))]]) ).
cnf(refute_0_5189,plain,
not(xor(t5,xor(t2,X_335))) = not(xor(t5,xor(t2,X_335))),
introduced(tautology,[refl,[$fot(not(xor(t5,xor(t2,X_335))))]]) ).
cnf(refute_0_5190,plain,
( not(xor(t5,xor(t2,X_335))) != not(xor(t5,xor(t2,X_335)))
| xor(t5,xor(t2,X_335)) != xor(t2,xor(X_335,t5))
| not(xor(t5,xor(t2,X_335))) = not(xor(t2,xor(X_335,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t5,xor(t2,X_335))),not(xor(t5,xor(t2,X_335)))) ),[1,0],$fot(xor(t2,xor(X_335,t5)))]]) ).
cnf(refute_0_5191,plain,
( xor(t5,xor(t2,X_335)) != xor(t2,xor(X_335,t5))
| not(xor(t5,xor(t2,X_335))) = not(xor(t2,xor(X_335,t5))) ),
inference(resolve,[$cnf( $equal(not(xor(t5,xor(t2,X_335))),not(xor(t5,xor(t2,X_335)))) )],[refute_0_5189,refute_0_5190]) ).
cnf(refute_0_5192,plain,
not(xor(t5,xor(t2,X_335))) = not(xor(t2,xor(X_335,t5))),
inference(resolve,[$cnf( $equal(xor(t5,xor(t2,X_335)),xor(t2,xor(X_335,t5))) )],[refute_0_5188,refute_0_5191]) ).
cnf(refute_0_5193,plain,
xor(t5,not(xor(t2,X_335))) = not(xor(t5,xor(t2,X_335))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t5)),bind(X_334,$fot(xor(t2,X_335)))]]) ).
cnf(refute_0_5194,plain,
( not(xor(t5,xor(t2,X_335))) != not(xor(t2,xor(X_335,t5)))
| xor(t5,not(xor(t2,X_335))) != not(xor(t5,xor(t2,X_335)))
| xor(t5,not(xor(t2,X_335))) = not(xor(t2,xor(X_335,t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t5,not(xor(t2,X_335))))),bind(Y0,$fot(not(xor(t5,xor(t2,X_335))))),bind(Z0,$fot(not(xor(t2,xor(X_335,t5)))))]]) ).
cnf(refute_0_5195,plain,
( not(xor(t5,xor(t2,X_335))) != not(xor(t2,xor(X_335,t5)))
| xor(t5,not(xor(t2,X_335))) = not(xor(t2,xor(X_335,t5))) ),
inference(resolve,[$cnf( $equal(xor(t5,not(xor(t2,X_335))),not(xor(t5,xor(t2,X_335)))) )],[refute_0_5193,refute_0_5194]) ).
cnf(refute_0_5196,plain,
xor(t5,not(xor(t2,X_335))) = not(xor(t2,xor(X_335,t5))),
inference(resolve,[$cnf( $equal(not(xor(t5,xor(t2,X_335))),not(xor(t2,xor(X_335,t5)))) )],[refute_0_5192,refute_0_5195]) ).
cnf(refute_0_5197,plain,
xor(t5,xor(not(t2),X_335)) = xor(t5,xor(not(t2),X_335)),
introduced(tautology,[refl,[$fot(xor(t5,xor(not(t2),X_335)))]]) ).
cnf(refute_0_5198,plain,
( xor(not(t2),X_335) != not(xor(t2,X_335))
| xor(t5,xor(not(t2),X_335)) != xor(t5,xor(not(t2),X_335))
| xor(t5,xor(not(t2),X_335)) = xor(t5,not(xor(t2,X_335))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t5,xor(not(t2),X_335)),xor(t5,xor(not(t2),X_335))) ),[1,1],$fot(not(xor(t2,X_335)))]]) ).
cnf(refute_0_5199,plain,
( xor(not(t2),X_335) != not(xor(t2,X_335))
| xor(t5,xor(not(t2),X_335)) = xor(t5,not(xor(t2,X_335))) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(not(t2),X_335)),xor(t5,xor(not(t2),X_335))) )],[refute_0_5197,refute_0_5198]) ).
cnf(refute_0_5200,plain,
xor(t5,xor(not(t2),X_335)) = xor(t5,not(xor(t2,X_335))),
inference(resolve,[$cnf( $equal(xor(not(t2),X_335),not(xor(t2,X_335))) )],[refute_0_1746,refute_0_5199]) ).
cnf(refute_0_5201,plain,
( xor(t5,not(xor(t2,X_335))) != not(xor(t2,xor(X_335,t5)))
| xor(t5,xor(not(t2),X_335)) != xor(t5,not(xor(t2,X_335)))
| xor(t5,xor(not(t2),X_335)) = not(xor(t2,xor(X_335,t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t5,xor(not(t2),X_335)))),bind(Y0,$fot(xor(t5,not(xor(t2,X_335))))),bind(Z0,$fot(not(xor(t2,xor(X_335,t5)))))]]) ).
cnf(refute_0_5202,plain,
( xor(t5,not(xor(t2,X_335))) != not(xor(t2,xor(X_335,t5)))
| xor(t5,xor(not(t2),X_335)) = not(xor(t2,xor(X_335,t5))) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(not(t2),X_335)),xor(t5,not(xor(t2,X_335)))) )],[refute_0_5200,refute_0_5201]) ).
cnf(refute_0_5203,plain,
xor(t5,xor(not(t2),X_335)) = not(xor(t2,xor(X_335,t5))),
inference(resolve,[$cnf( $equal(xor(t5,not(xor(t2,X_335))),not(xor(t2,xor(X_335,t5)))) )],[refute_0_5196,refute_0_5202]) ).
cnf(refute_0_5204,plain,
xor(xor(t5,not(t2)),X_335) = xor(t5,xor(not(t2),X_335)),
inference(subst,[],[refute_0_526:[bind(X,$fot(t5)),bind(Y,$fot(not(t2))),bind(Z,$fot(X_335))]]) ).
cnf(refute_0_5205,plain,
( xor(t5,xor(not(t2),X_335)) != not(xor(t2,xor(X_335,t5)))
| xor(xor(t5,not(t2)),X_335) != xor(t5,xor(not(t2),X_335))
| xor(xor(t5,not(t2)),X_335) = not(xor(t2,xor(X_335,t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(t5,not(t2)),X_335))),bind(Y0,$fot(xor(t5,xor(not(t2),X_335)))),bind(Z0,$fot(not(xor(t2,xor(X_335,t5)))))]]) ).
cnf(refute_0_5206,plain,
( xor(t5,xor(not(t2),X_335)) != not(xor(t2,xor(X_335,t5)))
| xor(xor(t5,not(t2)),X_335) = not(xor(t2,xor(X_335,t5))) ),
inference(resolve,[$cnf( $equal(xor(xor(t5,not(t2)),X_335),xor(t5,xor(not(t2),X_335))) )],[refute_0_5204,refute_0_5205]) ).
cnf(refute_0_5207,plain,
xor(xor(t5,not(t2)),X_335) = not(xor(t2,xor(X_335,t5))),
inference(resolve,[$cnf( $equal(xor(t5,xor(not(t2),X_335)),not(xor(t2,xor(X_335,t5)))) )],[refute_0_5203,refute_0_5206]) ).
cnf(refute_0_5208,plain,
xor(t2,xor(xor(t5,not(t2)),X_335)) = xor(t2,xor(xor(t5,not(t2)),X_335)),
introduced(tautology,[refl,[$fot(xor(t2,xor(xor(t5,not(t2)),X_335)))]]) ).
cnf(refute_0_5209,plain,
( xor(t2,xor(xor(t5,not(t2)),X_335)) != xor(t2,xor(xor(t5,not(t2)),X_335))
| xor(xor(t5,not(t2)),X_335) != not(xor(t2,xor(X_335,t5)))
| xor(t2,xor(xor(t5,not(t2)),X_335)) = xor(t2,not(xor(t2,xor(X_335,t5)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,xor(xor(t5,not(t2)),X_335)),xor(t2,xor(xor(t5,not(t2)),X_335))) ),[1,1],$fot(not(xor(t2,xor(X_335,t5))))]]) ).
cnf(refute_0_5210,plain,
( xor(xor(t5,not(t2)),X_335) != not(xor(t2,xor(X_335,t5)))
| xor(t2,xor(xor(t5,not(t2)),X_335)) = xor(t2,not(xor(t2,xor(X_335,t5)))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(xor(t5,not(t2)),X_335)),xor(t2,xor(xor(t5,not(t2)),X_335))) )],[refute_0_5208,refute_0_5209]) ).
cnf(refute_0_5211,plain,
xor(t2,xor(xor(t5,not(t2)),X_335)) = xor(t2,not(xor(t2,xor(X_335,t5)))),
inference(resolve,[$cnf( $equal(xor(xor(t5,not(t2)),X_335),not(xor(t2,xor(X_335,t5)))) )],[refute_0_5207,refute_0_5210]) ).
cnf(refute_0_5212,plain,
( xor(t2,not(xor(t2,xor(X_335,t5)))) != not(xor(X_335,t5))
| xor(t2,xor(xor(t5,not(t2)),X_335)) != xor(t2,not(xor(t2,xor(X_335,t5))))
| xor(t2,xor(xor(t5,not(t2)),X_335)) = not(xor(X_335,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,xor(xor(t5,not(t2)),X_335)))),bind(Y0,$fot(xor(t2,not(xor(t2,xor(X_335,t5)))))),bind(Z0,$fot(not(xor(X_335,t5))))]]) ).
cnf(refute_0_5213,plain,
( xor(t2,not(xor(t2,xor(X_335,t5)))) != not(xor(X_335,t5))
| xor(t2,xor(xor(t5,not(t2)),X_335)) = not(xor(X_335,t5)) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(xor(t5,not(t2)),X_335)),xor(t2,not(xor(t2,xor(X_335,t5))))) )],[refute_0_5211,refute_0_5212]) ).
cnf(refute_0_5214,plain,
xor(t2,xor(xor(t5,not(t2)),X_335)) = not(xor(X_335,t5)),
inference(resolve,[$cnf( $equal(xor(t2,not(xor(t2,xor(X_335,t5)))),not(xor(X_335,t5))) )],[refute_0_5187,refute_0_5213]) ).
cnf(refute_0_5215,plain,
xor(xor(t2,xor(t5,not(t2))),X_335) = xor(t2,xor(xor(t5,not(t2)),X_335)),
inference(subst,[],[refute_0_526:[bind(X,$fot(t2)),bind(Y,$fot(xor(t5,not(t2)))),bind(Z,$fot(X_335))]]) ).
cnf(refute_0_5216,plain,
( xor(t2,xor(xor(t5,not(t2)),X_335)) != not(xor(X_335,t5))
| xor(xor(t2,xor(t5,not(t2))),X_335) != xor(t2,xor(xor(t5,not(t2)),X_335))
| xor(xor(t2,xor(t5,not(t2))),X_335) = not(xor(X_335,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(t2,xor(t5,not(t2))),X_335))),bind(Y0,$fot(xor(t2,xor(xor(t5,not(t2)),X_335)))),bind(Z0,$fot(not(xor(X_335,t5))))]]) ).
cnf(refute_0_5217,plain,
( xor(t2,xor(xor(t5,not(t2)),X_335)) != not(xor(X_335,t5))
| xor(xor(t2,xor(t5,not(t2))),X_335) = not(xor(X_335,t5)) ),
inference(resolve,[$cnf( $equal(xor(xor(t2,xor(t5,not(t2))),X_335),xor(t2,xor(xor(t5,not(t2)),X_335))) )],[refute_0_5215,refute_0_5216]) ).
cnf(refute_0_5218,plain,
xor(xor(t2,xor(t5,not(t2))),X_335) = not(xor(X_335,t5)),
inference(resolve,[$cnf( $equal(xor(t2,xor(xor(t5,not(t2)),X_335)),not(xor(X_335,t5))) )],[refute_0_5214,refute_0_5217]) ).
cnf(refute_0_5219,plain,
xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335)) = xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335)),
introduced(tautology,[refl,[$fot(xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335)))]]) ).
cnf(refute_0_5220,plain,
( xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335)) != xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335))
| xor(xor(t2,xor(t5,not(t2))),X_335) != not(xor(X_335,t5))
| xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335)) = xor(t5,not(xor(X_335,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335)),xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335))) ),[1,1],$fot(not(xor(X_335,t5)))]]) ).
cnf(refute_0_5221,plain,
( xor(xor(t2,xor(t5,not(t2))),X_335) != not(xor(X_335,t5))
| xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335)) = xor(t5,not(xor(X_335,t5))) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335)),xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335))) )],[refute_0_5219,refute_0_5220]) ).
cnf(refute_0_5222,plain,
xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335)) = xor(t5,not(xor(X_335,t5))),
inference(resolve,[$cnf( $equal(xor(xor(t2,xor(t5,not(t2))),X_335),not(xor(X_335,t5))) )],[refute_0_5218,refute_0_5221]) ).
cnf(refute_0_5223,plain,
( xor(t5,not(xor(X_335,t5))) != not(xor(t5,xor(X_335,t5)))
| xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335)) != xor(t5,not(xor(X_335,t5)))
| xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335)) = not(xor(t5,xor(X_335,t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335)))),bind(Y0,$fot(xor(t5,not(xor(X_335,t5))))),bind(Z0,$fot(not(xor(t5,xor(X_335,t5)))))]]) ).
cnf(refute_0_5224,plain,
( xor(t5,not(xor(X_335,t5))) != not(xor(t5,xor(X_335,t5)))
| xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335)) = not(xor(t5,xor(X_335,t5))) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335)),xor(t5,not(xor(X_335,t5)))) )],[refute_0_5222,refute_0_5223]) ).
cnf(refute_0_5225,plain,
xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335)) = not(xor(t5,xor(X_335,t5))),
inference(resolve,[$cnf( $equal(xor(t5,not(xor(X_335,t5))),not(xor(t5,xor(X_335,t5)))) )],[refute_0_5094,refute_0_5224]) ).
cnf(refute_0_5226,plain,
( xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335)) != not(xor(t5,xor(X_335,t5)))
| xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335)) != xor(ll1,X_335)
| not(xor(t5,xor(X_335,t5))) = xor(ll1,X_335) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335)),xor(ll1,X_335)) ),[0],$fot(not(xor(t5,xor(X_335,t5))))]]) ).
cnf(refute_0_5227,plain,
( xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335)) != xor(ll1,X_335)
| not(xor(t5,xor(X_335,t5))) = xor(ll1,X_335) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335)),not(xor(t5,xor(X_335,t5)))) )],[refute_0_5225,refute_0_5226]) ).
cnf(refute_0_5228,plain,
xor(ll1,X_335) = not(X_335),
inference(subst,[],[refute_0_3546:[bind(X_64,$fot(X_335))]]) ).
cnf(refute_0_5229,plain,
( not(xor(t5,xor(X_335,t5))) != xor(ll1,X_335)
| xor(ll1,X_335) != not(X_335)
| not(xor(t5,xor(X_335,t5))) = not(X_335) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(t5,xor(X_335,t5))),not(X_335)) ),[0],$fot(xor(ll1,X_335))]]) ).
cnf(refute_0_5230,plain,
( not(xor(t5,xor(X_335,t5))) != xor(ll1,X_335)
| not(xor(t5,xor(X_335,t5))) = not(X_335) ),
inference(resolve,[$cnf( $equal(xor(ll1,X_335),not(X_335)) )],[refute_0_5228,refute_0_5229]) ).
cnf(refute_0_5231,plain,
( xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335)) != xor(ll1,X_335)
| not(xor(t5,xor(X_335,t5))) = not(X_335) ),
inference(resolve,[$cnf( $equal(not(xor(t5,xor(X_335,t5))),xor(ll1,X_335)) )],[refute_0_5227,refute_0_5230]) ).
cnf(refute_0_5232,plain,
not(xor(t5,xor(X_335,t5))) = not(X_335),
inference(resolve,[$cnf( $equal(xor(t5,xor(xor(t2,xor(t5,not(t2))),X_335)),xor(ll1,X_335)) )],[refute_0_5093,refute_0_5231]) ).
cnf(refute_0_5233,plain,
not(xor(t5,xor(sum,t5))) = not(sum),
inference(subst,[],[refute_0_5232:[bind(X_335,$fot(sum))]]) ).
cnf(refute_0_5234,plain,
or(and(sum,not(t5)),and(not(sum),t5)) = xor(sum,t5),
inference(subst,[],[refute_0_9:[bind(X,$fot(sum)),bind(Y,$fot(t5))]]) ).
cnf(refute_0_5235,plain,
and(not(t5),xor(t5,xor(cin,t6))) = and(cin,and(t4,xor(t5,xor(cin,t6)))),
inference(subst,[],[refute_0_841:[bind(X_222,$fot(xor(t5,xor(cin,t6))))]]) ).
cnf(refute_0_5236,plain,
( and(not(t5),xor(t5,xor(cin,t6))) != and(cin,and(t4,xor(t5,xor(cin,t6))))
| and(t4,xor(t5,xor(cin,t6))) != not(t6)
| and(not(t5),xor(t5,xor(cin,t6))) = and(cin,not(t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),xor(t5,xor(cin,t6))),and(cin,and(t4,xor(t5,xor(cin,t6))))) ),[1,1],$fot(not(t6))]]) ).
cnf(refute_0_5237,plain,
( and(not(t5),xor(t5,xor(cin,t6))) != and(cin,and(t4,xor(t5,xor(cin,t6))))
| and(not(t5),xor(t5,xor(cin,t6))) = and(cin,not(t6)) ),
inference(resolve,[$cnf( $equal(and(t4,xor(t5,xor(cin,t6))),not(t6)) )],[refute_0_2435,refute_0_5236]) ).
cnf(refute_0_5238,plain,
and(not(t5),xor(t5,xor(cin,t6))) = and(cin,not(t6)),
inference(resolve,[$cnf( $equal(and(not(t5),xor(t5,xor(cin,t6))),and(cin,and(t4,xor(t5,xor(cin,t6))))) )],[refute_0_5235,refute_0_5237]) ).
cnf(refute_0_5239,plain,
( and(cin,not(t6)) != ll0
| and(not(t5),xor(t5,xor(cin,t6))) != and(cin,not(t6))
| and(not(t5),xor(t5,xor(cin,t6))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),xor(t5,xor(cin,t6))),and(cin,not(t6))) ),[1],$fot(ll0)]]) ).
cnf(refute_0_5240,plain,
( and(not(t5),xor(t5,xor(cin,t6))) != and(cin,not(t6))
| and(not(t5),xor(t5,xor(cin,t6))) = ll0 ),
inference(resolve,[$cnf( $equal(and(cin,not(t6)),ll0) )],[refute_0_696,refute_0_5239]) ).
cnf(refute_0_5241,plain,
and(not(t5),xor(t5,xor(cin,t6))) = ll0,
inference(resolve,[$cnf( $equal(and(not(t5),xor(t5,xor(cin,t6))),and(cin,not(t6))) )],[refute_0_5238,refute_0_5240]) ).
cnf(refute_0_5242,plain,
and(not(t5),xor(t5,xor(cin,t6))) = and(not(t5),xor(t5,xor(cin,t6))),
introduced(tautology,[refl,[$fot(and(not(t5),xor(t5,xor(cin,t6))))]]) ).
cnf(refute_0_5243,plain,
( and(not(t5),xor(t5,xor(cin,t6))) != and(not(t5),xor(t5,xor(cin,t6)))
| xor(t5,xor(cin,t6)) != xor(t6,t7)
| and(not(t5),xor(t5,xor(cin,t6))) = and(not(t5),xor(t6,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),xor(t5,xor(cin,t6))),and(not(t5),xor(t5,xor(cin,t6)))) ),[1,1],$fot(xor(t6,t7))]]) ).
cnf(refute_0_5244,plain,
( xor(t5,xor(cin,t6)) != xor(t6,t7)
| and(not(t5),xor(t5,xor(cin,t6))) = and(not(t5),xor(t6,t7)) ),
inference(resolve,[$cnf( $equal(and(not(t5),xor(t5,xor(cin,t6))),and(not(t5),xor(t5,xor(cin,t6)))) )],[refute_0_5242,refute_0_5243]) ).
cnf(refute_0_5245,plain,
and(not(t5),xor(t5,xor(cin,t6))) = and(not(t5),xor(t6,t7)),
inference(resolve,[$cnf( $equal(xor(t5,xor(cin,t6)),xor(t6,t7)) )],[refute_0_2494,refute_0_5244]) ).
cnf(refute_0_5246,plain,
( and(not(t5),xor(t5,xor(cin,t6))) != and(not(t5),xor(t6,t7))
| and(not(t5),xor(t5,xor(cin,t6))) != ll0
| and(not(t5),xor(t6,t7)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),xor(t5,xor(cin,t6))),ll0) ),[0],$fot(and(not(t5),xor(t6,t7)))]]) ).
cnf(refute_0_5247,plain,
( and(not(t5),xor(t5,xor(cin,t6))) != ll0
| and(not(t5),xor(t6,t7)) = ll0 ),
inference(resolve,[$cnf( $equal(and(not(t5),xor(t5,xor(cin,t6))),and(not(t5),xor(t6,t7))) )],[refute_0_5245,refute_0_5246]) ).
cnf(refute_0_5248,plain,
and(not(t5),xor(t6,t7)) = ll0,
inference(resolve,[$cnf( $equal(and(not(t5),xor(t5,xor(cin,t6))),ll0) )],[refute_0_5241,refute_0_5247]) ).
cnf(refute_0_5249,plain,
and(not(t5),sum) = and(sum,not(t5)),
inference(subst,[],[refute_0_116:[bind(X,$fot(sum)),bind(Y,$fot(not(t5)))]]) ).
cnf(refute_0_5250,plain,
and(not(t5),xor(t6,t7)) = and(not(t5),xor(t6,t7)),
introduced(tautology,[refl,[$fot(and(not(t5),xor(t6,t7)))]]) ).
cnf(refute_0_5251,plain,
( and(not(t5),xor(t6,t7)) != and(not(t5),xor(t6,t7))
| xor(t6,t7) != sum
| and(not(t5),xor(t6,t7)) = and(not(t5),sum) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),xor(t6,t7)),and(not(t5),xor(t6,t7))) ),[1,1],$fot(sum)]]) ).
cnf(refute_0_5252,plain,
( xor(t6,t7) != sum
| and(not(t5),xor(t6,t7)) = and(not(t5),sum) ),
inference(resolve,[$cnf( $equal(and(not(t5),xor(t6,t7)),and(not(t5),xor(t6,t7))) )],[refute_0_5250,refute_0_5251]) ).
cnf(refute_0_5253,plain,
and(not(t5),xor(t6,t7)) = and(not(t5),sum),
inference(resolve,[$cnf( $equal(xor(t6,t7),sum) )],[refute_0_1154,refute_0_5252]) ).
cnf(refute_0_5254,plain,
( and(not(t5),sum) != and(sum,not(t5))
| and(not(t5),xor(t6,t7)) != and(not(t5),sum)
| and(not(t5),xor(t6,t7)) = and(sum,not(t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t5),xor(t6,t7)))),bind(Y0,$fot(and(not(t5),sum))),bind(Z0,$fot(and(sum,not(t5))))]]) ).
cnf(refute_0_5255,plain,
( and(not(t5),sum) != and(sum,not(t5))
| and(not(t5),xor(t6,t7)) = and(sum,not(t5)) ),
inference(resolve,[$cnf( $equal(and(not(t5),xor(t6,t7)),and(not(t5),sum)) )],[refute_0_5253,refute_0_5254]) ).
cnf(refute_0_5256,plain,
and(not(t5),xor(t6,t7)) = and(sum,not(t5)),
inference(resolve,[$cnf( $equal(and(not(t5),sum),and(sum,not(t5))) )],[refute_0_5249,refute_0_5255]) ).
cnf(refute_0_5257,plain,
( and(not(t5),xor(t6,t7)) != and(sum,not(t5))
| and(not(t5),xor(t6,t7)) != ll0
| and(sum,not(t5)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),xor(t6,t7)),ll0) ),[0],$fot(and(sum,not(t5)))]]) ).
cnf(refute_0_5258,plain,
( and(not(t5),xor(t6,t7)) != ll0
| and(sum,not(t5)) = ll0 ),
inference(resolve,[$cnf( $equal(and(not(t5),xor(t6,t7)),and(sum,not(t5))) )],[refute_0_5256,refute_0_5257]) ).
cnf(refute_0_5259,plain,
and(sum,not(t5)) = ll0,
inference(resolve,[$cnf( $equal(and(not(t5),xor(t6,t7)),ll0) )],[refute_0_5248,refute_0_5258]) ).
cnf(refute_0_5260,plain,
( and(sum,not(t5)) != ll0
| or(and(sum,not(t5)),and(not(sum),t5)) != xor(sum,t5)
| or(ll0,and(not(sum),t5)) = xor(sum,t5) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(sum,not(t5)),and(not(sum),t5)),xor(sum,t5)) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_5261,plain,
( or(and(sum,not(t5)),and(not(sum),t5)) != xor(sum,t5)
| or(ll0,and(not(sum),t5)) = xor(sum,t5) ),
inference(resolve,[$cnf( $equal(and(sum,not(t5)),ll0) )],[refute_0_5259,refute_0_5260]) ).
cnf(refute_0_5262,plain,
or(ll0,and(not(sum),t5)) = xor(sum,t5),
inference(resolve,[$cnf( $equal(or(and(sum,not(t5)),and(not(sum),t5)),xor(sum,t5)) )],[refute_0_5234,refute_0_5261]) ).
cnf(refute_0_5263,plain,
or(and(t5,not(xor(t5,xor(cin,t6)))),and(not(t5),xor(t5,xor(cin,t6)))) = xor(t5,xor(t5,xor(cin,t6))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t5)),bind(Y,$fot(xor(t5,xor(cin,t6))))]]) ).
cnf(refute_0_5264,plain,
( and(not(t5),xor(t5,xor(cin,t6))) != ll0
| or(and(t5,not(xor(t5,xor(cin,t6)))),and(not(t5),xor(t5,xor(cin,t6)))) != xor(t5,xor(t5,xor(cin,t6)))
| or(and(t5,not(xor(t5,xor(cin,t6)))),ll0) = xor(t5,xor(t5,xor(cin,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t5,not(xor(t5,xor(cin,t6)))),and(not(t5),xor(t5,xor(cin,t6)))),xor(t5,xor(t5,xor(cin,t6)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_5265,plain,
( or(and(t5,not(xor(t5,xor(cin,t6)))),and(not(t5),xor(t5,xor(cin,t6)))) != xor(t5,xor(t5,xor(cin,t6)))
| or(and(t5,not(xor(t5,xor(cin,t6)))),ll0) = xor(t5,xor(t5,xor(cin,t6))) ),
inference(resolve,[$cnf( $equal(and(not(t5),xor(t5,xor(cin,t6))),ll0) )],[refute_0_5241,refute_0_5264]) ).
cnf(refute_0_5266,plain,
or(and(t5,not(xor(t5,xor(cin,t6)))),ll0) = xor(t5,xor(t5,xor(cin,t6))),
inference(resolve,[$cnf( $equal(or(and(t5,not(xor(t5,xor(cin,t6)))),and(not(t5),xor(t5,xor(cin,t6)))),xor(t5,xor(t5,xor(cin,t6)))) )],[refute_0_5263,refute_0_5265]) ).
cnf(refute_0_5267,plain,
or(and(t5,not(xor(t5,xor(cin,t6)))),ll0) = and(t5,not(xor(t5,xor(cin,t6)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t5,not(xor(t5,xor(cin,t6))))))]]) ).
cnf(refute_0_5268,plain,
( or(and(t5,not(xor(t5,xor(cin,t6)))),ll0) != and(t5,not(xor(t5,xor(cin,t6))))
| or(and(t5,not(xor(t5,xor(cin,t6)))),ll0) != xor(t5,xor(t5,xor(cin,t6)))
| and(t5,not(xor(t5,xor(cin,t6)))) = xor(t5,xor(t5,xor(cin,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t5,not(xor(t5,xor(cin,t6)))),ll0),xor(t5,xor(t5,xor(cin,t6)))) ),[0],$fot(and(t5,not(xor(t5,xor(cin,t6)))))]]) ).
cnf(refute_0_5269,plain,
( or(and(t5,not(xor(t5,xor(cin,t6)))),ll0) != xor(t5,xor(t5,xor(cin,t6)))
| and(t5,not(xor(t5,xor(cin,t6)))) = xor(t5,xor(t5,xor(cin,t6))) ),
inference(resolve,[$cnf( $equal(or(and(t5,not(xor(t5,xor(cin,t6)))),ll0),and(t5,not(xor(t5,xor(cin,t6))))) )],[refute_0_5267,refute_0_5268]) ).
cnf(refute_0_5270,plain,
and(t5,not(xor(t5,xor(cin,t6)))) = xor(t5,xor(t5,xor(cin,t6))),
inference(resolve,[$cnf( $equal(or(and(t5,not(xor(t5,xor(cin,t6)))),ll0),xor(t5,xor(t5,xor(cin,t6)))) )],[refute_0_5266,refute_0_5269]) ).
cnf(refute_0_5271,plain,
xor(and(t5,t6),cin) = xor(cin,and(t5,t6)),
inference(subst,[],[refute_0_1913:[bind(X,$fot(cin)),bind(Y,$fot(and(t5,t6)))]]) ).
cnf(refute_0_5272,plain,
not(xor(t5,xor(cin,t6))) = xor(and(t5,t6),cin),
inference(subst,[],[refute_0_4560:[bind(X_335,$fot(cin))]]) ).
cnf(refute_0_5273,plain,
( not(xor(t5,xor(cin,t6))) != xor(and(t5,t6),cin)
| xor(and(t5,t6),cin) != xor(cin,and(t5,t6))
| not(xor(t5,xor(cin,t6))) = xor(cin,and(t5,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t5,xor(cin,t6))))),bind(Y0,$fot(xor(and(t5,t6),cin))),bind(Z0,$fot(xor(cin,and(t5,t6))))]]) ).
cnf(refute_0_5274,plain,
( xor(and(t5,t6),cin) != xor(cin,and(t5,t6))
| not(xor(t5,xor(cin,t6))) = xor(cin,and(t5,t6)) ),
inference(resolve,[$cnf( $equal(not(xor(t5,xor(cin,t6))),xor(and(t5,t6),cin)) )],[refute_0_5272,refute_0_5273]) ).
cnf(refute_0_5275,plain,
not(xor(t5,xor(cin,t6))) = xor(cin,and(t5,t6)),
inference(resolve,[$cnf( $equal(xor(and(t5,t6),cin),xor(cin,and(t5,t6))) )],[refute_0_5271,refute_0_5274]) ).
cnf(refute_0_5276,plain,
and(t5,not(xor(t5,xor(cin,t6)))) = and(t5,not(xor(t5,xor(cin,t6)))),
introduced(tautology,[refl,[$fot(and(t5,not(xor(t5,xor(cin,t6)))))]]) ).
cnf(refute_0_5277,plain,
( and(t5,not(xor(t5,xor(cin,t6)))) != and(t5,not(xor(t5,xor(cin,t6))))
| not(xor(t5,xor(cin,t6))) != xor(cin,and(t5,t6))
| and(t5,not(xor(t5,xor(cin,t6)))) = and(t5,xor(cin,and(t5,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,not(xor(t5,xor(cin,t6)))),and(t5,not(xor(t5,xor(cin,t6))))) ),[1,1],$fot(xor(cin,and(t5,t6)))]]) ).
cnf(refute_0_5278,plain,
( not(xor(t5,xor(cin,t6))) != xor(cin,and(t5,t6))
| and(t5,not(xor(t5,xor(cin,t6)))) = and(t5,xor(cin,and(t5,t6))) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t5,xor(cin,t6)))),and(t5,not(xor(t5,xor(cin,t6))))) )],[refute_0_5276,refute_0_5277]) ).
cnf(refute_0_5279,plain,
and(t5,not(xor(t5,xor(cin,t6)))) = and(t5,xor(cin,and(t5,t6))),
inference(resolve,[$cnf( $equal(not(xor(t5,xor(cin,t6))),xor(cin,and(t5,t6))) )],[refute_0_5275,refute_0_5278]) ).
cnf(refute_0_5280,plain,
( and(t5,not(xor(t5,xor(cin,t6)))) != and(t5,xor(cin,and(t5,t6)))
| and(t5,not(xor(t5,xor(cin,t6)))) != xor(t5,xor(t5,xor(cin,t6)))
| and(t5,xor(cin,and(t5,t6))) = xor(t5,xor(t5,xor(cin,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,not(xor(t5,xor(cin,t6)))),xor(t5,xor(t5,xor(cin,t6)))) ),[0],$fot(and(t5,xor(cin,and(t5,t6))))]]) ).
cnf(refute_0_5281,plain,
( and(t5,not(xor(t5,xor(cin,t6)))) != xor(t5,xor(t5,xor(cin,t6)))
| and(t5,xor(cin,and(t5,t6))) = xor(t5,xor(t5,xor(cin,t6))) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t5,xor(cin,t6)))),and(t5,xor(cin,and(t5,t6)))) )],[refute_0_5279,refute_0_5280]) ).
cnf(refute_0_5282,plain,
xor(t5,xor(t5,xor(cin,t6))) = xor(cin,t6),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(t5)),bind(X_335,$fot(xor(cin,t6)))]]) ).
cnf(refute_0_5283,plain,
( and(t5,xor(cin,and(t5,t6))) != xor(t5,xor(t5,xor(cin,t6)))
| xor(t5,xor(t5,xor(cin,t6))) != xor(cin,t6)
| and(t5,xor(cin,and(t5,t6))) = xor(cin,t6) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t5,xor(cin,and(t5,t6))),xor(cin,t6)) ),[0],$fot(xor(t5,xor(t5,xor(cin,t6))))]]) ).
cnf(refute_0_5284,plain,
( and(t5,xor(cin,and(t5,t6))) != xor(t5,xor(t5,xor(cin,t6)))
| and(t5,xor(cin,and(t5,t6))) = xor(cin,t6) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(t5,xor(cin,t6))),xor(cin,t6)) )],[refute_0_5282,refute_0_5283]) ).
cnf(refute_0_5285,plain,
( and(t5,not(xor(t5,xor(cin,t6)))) != xor(t5,xor(t5,xor(cin,t6)))
| and(t5,xor(cin,and(t5,t6))) = xor(cin,t6) ),
inference(resolve,[$cnf( $equal(and(t5,xor(cin,and(t5,t6))),xor(t5,xor(t5,xor(cin,t6)))) )],[refute_0_5281,refute_0_5284]) ).
cnf(refute_0_5286,plain,
and(t5,xor(cin,and(t5,t6))) = xor(cin,t6),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t5,xor(cin,t6)))),xor(t5,xor(t5,xor(cin,t6)))) )],[refute_0_5270,refute_0_5285]) ).
cnf(refute_0_5287,plain,
not(and(not(xor(cin,t6)),t5)) = not(and(t5,not(xor(cin,t6)))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(t5)),bind(X_32,$fot(not(xor(cin,t6))))]]) ).
cnf(refute_0_5288,plain,
( and(t5,not(xor(cin,t6))) != xor(t5,xor(cin,t6))
| not(and(not(xor(cin,t6)),t5)) != not(and(t5,not(xor(cin,t6))))
| not(and(not(xor(cin,t6)),t5)) = not(xor(t5,xor(cin,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(xor(cin,t6)),t5)),not(and(t5,not(xor(cin,t6))))) ),[1,0],$fot(xor(t5,xor(cin,t6)))]]) ).
cnf(refute_0_5289,plain,
( not(and(not(xor(cin,t6)),t5)) != not(and(t5,not(xor(cin,t6))))
| not(and(not(xor(cin,t6)),t5)) = not(xor(t5,xor(cin,t6))) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(cin,t6))),xor(t5,xor(cin,t6))) )],[refute_0_2402,refute_0_5288]) ).
cnf(refute_0_5290,plain,
not(and(not(xor(cin,t6)),t5)) = not(xor(t5,xor(cin,t6))),
inference(resolve,[$cnf( $equal(not(and(not(xor(cin,t6)),t5)),not(and(t5,not(xor(cin,t6))))) )],[refute_0_5287,refute_0_5289]) ).
cnf(refute_0_5291,plain,
or(xor(cin,t6),not(t5)) = or(not(t5),xor(cin,t6)),
inference(subst,[],[refute_0_5:[bind(X,$fot(not(t5))),bind(Y,$fot(xor(cin,t6)))]]) ).
cnf(refute_0_5292,plain,
not(and(not(xor(cin,t6)),t5)) = or(xor(cin,t6),not(t5)),
inference(subst,[],[refute_0_787:[bind(X,$fot(xor(cin,t6))),bind(X_32,$fot(t5))]]) ).
cnf(refute_0_5293,plain,
( not(and(not(xor(cin,t6)),t5)) != or(xor(cin,t6),not(t5))
| or(xor(cin,t6),not(t5)) != or(not(t5),xor(cin,t6))
| not(and(not(xor(cin,t6)),t5)) = or(not(t5),xor(cin,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(not(xor(cin,t6)),t5)))),bind(Y0,$fot(or(xor(cin,t6),not(t5)))),bind(Z0,$fot(or(not(t5),xor(cin,t6))))]]) ).
cnf(refute_0_5294,plain,
( or(xor(cin,t6),not(t5)) != or(not(t5),xor(cin,t6))
| not(and(not(xor(cin,t6)),t5)) = or(not(t5),xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(not(and(not(xor(cin,t6)),t5)),or(xor(cin,t6),not(t5))) )],[refute_0_5292,refute_0_5293]) ).
cnf(refute_0_5295,plain,
not(and(not(xor(cin,t6)),t5)) = or(not(t5),xor(cin,t6)),
inference(resolve,[$cnf( $equal(or(xor(cin,t6),not(t5)),or(not(t5),xor(cin,t6))) )],[refute_0_5291,refute_0_5294]) ).
cnf(refute_0_5296,plain,
( not(and(not(xor(cin,t6)),t5)) != not(xor(t5,xor(cin,t6)))
| not(and(not(xor(cin,t6)),t5)) != or(not(t5),xor(cin,t6))
| or(not(t5),xor(cin,t6)) = not(xor(t5,xor(cin,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(xor(cin,t6)),t5)),not(xor(t5,xor(cin,t6)))) ),[0],$fot(or(not(t5),xor(cin,t6)))]]) ).
cnf(refute_0_5297,plain,
( not(and(not(xor(cin,t6)),t5)) != not(xor(t5,xor(cin,t6)))
| or(not(t5),xor(cin,t6)) = not(xor(t5,xor(cin,t6))) ),
inference(resolve,[$cnf( $equal(not(and(not(xor(cin,t6)),t5)),or(not(t5),xor(cin,t6))) )],[refute_0_5295,refute_0_5296]) ).
cnf(refute_0_5298,plain,
or(not(t5),xor(cin,t6)) = not(xor(t5,xor(cin,t6))),
inference(resolve,[$cnf( $equal(not(and(not(xor(cin,t6)),t5)),not(xor(t5,xor(cin,t6)))) )],[refute_0_5290,refute_0_5297]) ).
cnf(refute_0_5299,plain,
( not(xor(t5,xor(cin,t6))) != xor(cin,and(t5,t6))
| or(not(t5),xor(cin,t6)) != not(xor(t5,xor(cin,t6)))
| or(not(t5),xor(cin,t6)) = xor(cin,and(t5,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t5),xor(cin,t6)),not(xor(t5,xor(cin,t6)))) ),[1],$fot(xor(cin,and(t5,t6)))]]) ).
cnf(refute_0_5300,plain,
( or(not(t5),xor(cin,t6)) != not(xor(t5,xor(cin,t6)))
| or(not(t5),xor(cin,t6)) = xor(cin,and(t5,t6)) ),
inference(resolve,[$cnf( $equal(not(xor(t5,xor(cin,t6))),xor(cin,and(t5,t6))) )],[refute_0_5275,refute_0_5299]) ).
cnf(refute_0_5301,plain,
or(not(t5),xor(cin,t6)) = xor(cin,and(t5,t6)),
inference(resolve,[$cnf( $equal(or(not(t5),xor(cin,t6)),not(xor(t5,xor(cin,t6)))) )],[refute_0_5298,refute_0_5300]) ).
cnf(refute_0_5302,plain,
( and(t5,not(xor(cin,t6))) != xor(t5,xor(cin,t6))
| xor(t5,xor(cin,t6)) != xor(t6,t7)
| and(t5,not(xor(cin,t6))) = xor(t6,t7) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t5,not(xor(cin,t6))),xor(t6,t7)) ),[0],$fot(xor(t5,xor(cin,t6)))]]) ).
cnf(refute_0_5303,plain,
( and(t5,not(xor(cin,t6))) != xor(t5,xor(cin,t6))
| and(t5,not(xor(cin,t6))) = xor(t6,t7) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(cin,t6)),xor(t6,t7)) )],[refute_0_2494,refute_0_5302]) ).
cnf(refute_0_5304,plain,
and(t5,not(xor(cin,t6))) = xor(t6,t7),
inference(resolve,[$cnf( $equal(and(t5,not(xor(cin,t6))),xor(t5,xor(cin,t6))) )],[refute_0_2402,refute_0_5303]) ).
cnf(refute_0_5305,plain,
( and(t5,not(xor(cin,t6))) != xor(t6,t7)
| xor(t6,t7) != sum
| and(t5,not(xor(cin,t6))) = sum ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t5,not(xor(cin,t6))),sum) ),[0],$fot(xor(t6,t7))]]) ).
cnf(refute_0_5306,plain,
( and(t5,not(xor(cin,t6))) != xor(t6,t7)
| and(t5,not(xor(cin,t6))) = sum ),
inference(resolve,[$cnf( $equal(xor(t6,t7),sum) )],[refute_0_1154,refute_0_5305]) ).
cnf(refute_0_5307,plain,
and(t5,not(xor(cin,t6))) = sum,
inference(resolve,[$cnf( $equal(and(t5,not(xor(cin,t6))),xor(t6,t7)) )],[refute_0_5304,refute_0_5306]) ).
cnf(refute_0_5308,plain,
and(t5,not(xor(cin,t6))) = and(t5,not(xor(cin,t6))),
introduced(tautology,[refl,[$fot(and(t5,not(xor(cin,t6))))]]) ).
cnf(refute_0_5309,plain,
( and(t5,not(xor(cin,t6))) != and(t5,not(xor(cin,t6)))
| not(xor(cin,t6)) != or(cin,sum)
| and(t5,not(xor(cin,t6))) = and(t5,or(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,not(xor(cin,t6))),and(t5,not(xor(cin,t6)))) ),[1,1],$fot(or(cin,sum))]]) ).
cnf(refute_0_5310,plain,
( not(xor(cin,t6)) != or(cin,sum)
| and(t5,not(xor(cin,t6))) = and(t5,or(cin,sum)) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(cin,t6))),and(t5,not(xor(cin,t6)))) )],[refute_0_5308,refute_0_5309]) ).
cnf(refute_0_5311,plain,
and(t5,not(xor(cin,t6))) = and(t5,or(cin,sum)),
inference(resolve,[$cnf( $equal(not(xor(cin,t6)),or(cin,sum)) )],[refute_0_2510,refute_0_5310]) ).
cnf(refute_0_5312,plain,
( and(t5,not(xor(cin,t6))) != and(t5,or(cin,sum))
| and(t5,not(xor(cin,t6))) != sum
| and(t5,or(cin,sum)) = sum ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,not(xor(cin,t6))),sum) ),[0],$fot(and(t5,or(cin,sum)))]]) ).
cnf(refute_0_5313,plain,
( and(t5,not(xor(cin,t6))) != sum
| and(t5,or(cin,sum)) = sum ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(cin,t6))),and(t5,or(cin,sum))) )],[refute_0_5311,refute_0_5312]) ).
cnf(refute_0_5314,plain,
and(t5,or(cin,sum)) = sum,
inference(resolve,[$cnf( $equal(and(t5,not(xor(cin,t6))),sum) )],[refute_0_5307,refute_0_5313]) ).
cnf(refute_0_5315,plain,
not(and(t5,or(cin,sum))) = not(and(t5,or(cin,sum))),
introduced(tautology,[refl,[$fot(not(and(t5,or(cin,sum))))]]) ).
cnf(refute_0_5316,plain,
( and(t5,or(cin,sum)) != sum
| not(and(t5,or(cin,sum))) != not(and(t5,or(cin,sum)))
| not(and(t5,or(cin,sum))) = not(sum) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(t5,or(cin,sum))),not(and(t5,or(cin,sum)))) ),[1,0],$fot(sum)]]) ).
cnf(refute_0_5317,plain,
( and(t5,or(cin,sum)) != sum
| not(and(t5,or(cin,sum))) = not(sum) ),
inference(resolve,[$cnf( $equal(not(and(t5,or(cin,sum))),not(and(t5,or(cin,sum)))) )],[refute_0_5315,refute_0_5316]) ).
cnf(refute_0_5318,plain,
not(and(t5,or(cin,sum))) = not(sum),
inference(resolve,[$cnf( $equal(and(t5,or(cin,sum)),sum) )],[refute_0_5314,refute_0_5317]) ).
cnf(refute_0_5319,plain,
not(and(X,or(cin,sum))) = or(not(X),not(or(cin,sum))),
inference(subst,[],[and_demorgan:[bind(Y,$fot(or(cin,sum)))]]) ).
cnf(refute_0_5320,plain,
not(not(xor(cin,t6))) = xor(cin,t6),
inference(subst,[],[not_involution:[bind(X,$fot(xor(cin,t6)))]]) ).
cnf(refute_0_5321,plain,
( not(not(xor(cin,t6))) != xor(cin,t6)
| not(xor(cin,t6)) != or(cin,sum)
| not(or(cin,sum)) = xor(cin,t6) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(xor(cin,t6))),xor(cin,t6)) ),[0,0],$fot(or(cin,sum))]]) ).
cnf(refute_0_5322,plain,
( not(not(xor(cin,t6))) != xor(cin,t6)
| not(or(cin,sum)) = xor(cin,t6) ),
inference(resolve,[$cnf( $equal(not(xor(cin,t6)),or(cin,sum)) )],[refute_0_2510,refute_0_5321]) ).
cnf(refute_0_5323,plain,
not(or(cin,sum)) = xor(cin,t6),
inference(resolve,[$cnf( $equal(not(not(xor(cin,t6))),xor(cin,t6)) )],[refute_0_5320,refute_0_5322]) ).
cnf(refute_0_5324,plain,
( not(and(X,or(cin,sum))) != or(not(X),not(or(cin,sum)))
| not(or(cin,sum)) != xor(cin,t6)
| not(and(X,or(cin,sum))) = or(not(X),xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X,or(cin,sum))),or(not(X),not(or(cin,sum)))) ),[1,1],$fot(xor(cin,t6))]]) ).
cnf(refute_0_5325,plain,
( not(and(X,or(cin,sum))) != or(not(X),not(or(cin,sum)))
| not(and(X,or(cin,sum))) = or(not(X),xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(not(or(cin,sum)),xor(cin,t6)) )],[refute_0_5323,refute_0_5324]) ).
cnf(refute_0_5326,plain,
not(and(X,or(cin,sum))) = or(not(X),xor(cin,t6)),
inference(resolve,[$cnf( $equal(not(and(X,or(cin,sum))),or(not(X),not(or(cin,sum)))) )],[refute_0_5319,refute_0_5325]) ).
cnf(refute_0_5327,plain,
( not(and(X,or(cin,sum))) != or(not(X),xor(cin,t6))
| or(not(X),xor(cin,t6)) = not(and(X,or(cin,sum))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(X,or(cin,sum))))),bind(Y0,$fot(or(not(X),xor(cin,t6))))]]) ).
cnf(refute_0_5328,plain,
or(not(X),xor(cin,t6)) = not(and(X,or(cin,sum))),
inference(resolve,[$cnf( $equal(not(and(X,or(cin,sum))),or(not(X),xor(cin,t6))) )],[refute_0_5326,refute_0_5327]) ).
cnf(refute_0_5329,plain,
or(not(t5),xor(cin,t6)) = not(and(t5,or(cin,sum))),
inference(subst,[],[refute_0_5328:[bind(X,$fot(t5))]]) ).
cnf(refute_0_5330,plain,
( not(and(t5,or(cin,sum))) != not(sum)
| or(not(t5),xor(cin,t6)) != not(and(t5,or(cin,sum)))
| or(not(t5),xor(cin,t6)) = not(sum) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t5),xor(cin,t6)))),bind(Y0,$fot(not(and(t5,or(cin,sum))))),bind(Z0,$fot(not(sum)))]]) ).
cnf(refute_0_5331,plain,
( not(and(t5,or(cin,sum))) != not(sum)
| or(not(t5),xor(cin,t6)) = not(sum) ),
inference(resolve,[$cnf( $equal(or(not(t5),xor(cin,t6)),not(and(t5,or(cin,sum)))) )],[refute_0_5329,refute_0_5330]) ).
cnf(refute_0_5332,plain,
or(not(t5),xor(cin,t6)) = not(sum),
inference(resolve,[$cnf( $equal(not(and(t5,or(cin,sum))),not(sum)) )],[refute_0_5318,refute_0_5331]) ).
cnf(refute_0_5333,plain,
( or(not(t5),xor(cin,t6)) != not(sum)
| or(not(t5),xor(cin,t6)) != xor(cin,and(t5,t6))
| not(sum) = xor(cin,and(t5,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t5),xor(cin,t6)),xor(cin,and(t5,t6))) ),[0],$fot(not(sum))]]) ).
cnf(refute_0_5334,plain,
( or(not(t5),xor(cin,t6)) != xor(cin,and(t5,t6))
| not(sum) = xor(cin,and(t5,t6)) ),
inference(resolve,[$cnf( $equal(or(not(t5),xor(cin,t6)),not(sum)) )],[refute_0_5332,refute_0_5333]) ).
cnf(refute_0_5335,plain,
not(sum) = xor(cin,and(t5,t6)),
inference(resolve,[$cnf( $equal(or(not(t5),xor(cin,t6)),xor(cin,and(t5,t6))) )],[refute_0_5301,refute_0_5334]) ).
cnf(refute_0_5336,plain,
( not(sum) != xor(cin,and(t5,t6))
| xor(cin,and(t5,t6)) = not(sum) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(sum))),bind(Y0,$fot(xor(cin,and(t5,t6))))]]) ).
cnf(refute_0_5337,plain,
xor(cin,and(t5,t6)) = not(sum),
inference(resolve,[$cnf( $equal(not(sum),xor(cin,and(t5,t6))) )],[refute_0_5335,refute_0_5336]) ).
cnf(refute_0_5338,plain,
and(t5,xor(cin,and(t5,t6))) = and(t5,xor(cin,and(t5,t6))),
introduced(tautology,[refl,[$fot(and(t5,xor(cin,and(t5,t6))))]]) ).
cnf(refute_0_5339,plain,
( and(t5,xor(cin,and(t5,t6))) != and(t5,xor(cin,and(t5,t6)))
| xor(cin,and(t5,t6)) != not(sum)
| and(t5,xor(cin,and(t5,t6))) = and(t5,not(sum)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,xor(cin,and(t5,t6))),and(t5,xor(cin,and(t5,t6)))) ),[1,1],$fot(not(sum))]]) ).
cnf(refute_0_5340,plain,
( xor(cin,and(t5,t6)) != not(sum)
| and(t5,xor(cin,and(t5,t6))) = and(t5,not(sum)) ),
inference(resolve,[$cnf( $equal(and(t5,xor(cin,and(t5,t6))),and(t5,xor(cin,and(t5,t6)))) )],[refute_0_5338,refute_0_5339]) ).
cnf(refute_0_5341,plain,
and(t5,xor(cin,and(t5,t6))) = and(t5,not(sum)),
inference(resolve,[$cnf( $equal(xor(cin,and(t5,t6)),not(sum)) )],[refute_0_5337,refute_0_5340]) ).
cnf(refute_0_5342,plain,
( and(t5,xor(cin,and(t5,t6))) != and(t5,not(sum))
| and(t5,xor(cin,and(t5,t6))) != xor(cin,t6)
| and(t5,not(sum)) = xor(cin,t6) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,xor(cin,and(t5,t6))),xor(cin,t6)) ),[0],$fot(and(t5,not(sum)))]]) ).
cnf(refute_0_5343,plain,
( and(t5,xor(cin,and(t5,t6))) != xor(cin,t6)
| and(t5,not(sum)) = xor(cin,t6) ),
inference(resolve,[$cnf( $equal(and(t5,xor(cin,and(t5,t6))),and(t5,not(sum))) )],[refute_0_5341,refute_0_5342]) ).
cnf(refute_0_5344,plain,
and(t5,not(sum)) = xor(cin,t6),
inference(resolve,[$cnf( $equal(and(t5,xor(cin,and(t5,t6))),xor(cin,t6)) )],[refute_0_5286,refute_0_5343]) ).
cnf(refute_0_5345,plain,
and(not(sum),t5) = and(t5,not(sum)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t5)),bind(Y,$fot(not(sum)))]]) ).
cnf(refute_0_5346,plain,
( and(not(sum),t5) != and(t5,not(sum))
| and(t5,not(sum)) != xor(cin,t6)
| and(not(sum),t5) = xor(cin,t6) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(sum),t5))),bind(Y0,$fot(and(t5,not(sum)))),bind(Z0,$fot(xor(cin,t6)))]]) ).
cnf(refute_0_5347,plain,
( and(t5,not(sum)) != xor(cin,t6)
| and(not(sum),t5) = xor(cin,t6) ),
inference(resolve,[$cnf( $equal(and(not(sum),t5),and(t5,not(sum))) )],[refute_0_5345,refute_0_5346]) ).
cnf(refute_0_5348,plain,
and(not(sum),t5) = xor(cin,t6),
inference(resolve,[$cnf( $equal(and(t5,not(sum)),xor(cin,t6)) )],[refute_0_5344,refute_0_5347]) ).
cnf(refute_0_5349,plain,
or(ll0,and(not(sum),t5)) = and(not(sum),t5),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(sum),t5)))]]) ).
cnf(refute_0_5350,plain,
( and(not(sum),t5) != xor(cin,t6)
| or(ll0,and(not(sum),t5)) != and(not(sum),t5)
| or(ll0,and(not(sum),t5)) = xor(cin,t6) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(ll0,and(not(sum),t5)))),bind(Y0,$fot(and(not(sum),t5))),bind(Z0,$fot(xor(cin,t6)))]]) ).
cnf(refute_0_5351,plain,
( and(not(sum),t5) != xor(cin,t6)
| or(ll0,and(not(sum),t5)) = xor(cin,t6) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(sum),t5)),and(not(sum),t5)) )],[refute_0_5349,refute_0_5350]) ).
cnf(refute_0_5352,plain,
or(ll0,and(not(sum),t5)) = xor(cin,t6),
inference(resolve,[$cnf( $equal(and(not(sum),t5),xor(cin,t6)) )],[refute_0_5348,refute_0_5351]) ).
cnf(refute_0_5353,plain,
( or(ll0,and(not(sum),t5)) != xor(cin,t6)
| or(ll0,and(not(sum),t5)) != xor(sum,t5)
| xor(cin,t6) = xor(sum,t5) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(sum),t5)),xor(sum,t5)) ),[0],$fot(xor(cin,t6))]]) ).
cnf(refute_0_5354,plain,
( or(ll0,and(not(sum),t5)) != xor(sum,t5)
| xor(cin,t6) = xor(sum,t5) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(sum),t5)),xor(cin,t6)) )],[refute_0_5352,refute_0_5353]) ).
cnf(refute_0_5355,plain,
xor(cin,t6) = xor(sum,t5),
inference(resolve,[$cnf( $equal(or(ll0,and(not(sum),t5)),xor(sum,t5)) )],[refute_0_5262,refute_0_5354]) ).
cnf(refute_0_5356,plain,
( xor(cin,t6) != xor(sum,t5)
| xor(sum,t5) = xor(cin,t6) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(cin,t6))),bind(Y0,$fot(xor(sum,t5)))]]) ).
cnf(refute_0_5357,plain,
xor(sum,t5) = xor(cin,t6),
inference(resolve,[$cnf( $equal(xor(cin,t6),xor(sum,t5)) )],[refute_0_5355,refute_0_5356]) ).
cnf(refute_0_5358,plain,
( not(xor(t5,xor(sum,t5))) != not(sum)
| xor(sum,t5) != xor(cin,t6)
| not(xor(t5,xor(cin,t6))) = not(sum) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t5,xor(sum,t5))),not(sum)) ),[0,0,1],$fot(xor(cin,t6))]]) ).
cnf(refute_0_5359,plain,
( not(xor(t5,xor(sum,t5))) != not(sum)
| not(xor(t5,xor(cin,t6))) = not(sum) ),
inference(resolve,[$cnf( $equal(xor(sum,t5),xor(cin,t6)) )],[refute_0_5357,refute_0_5358]) ).
cnf(refute_0_5360,plain,
not(xor(t5,xor(cin,t6))) = not(sum),
inference(resolve,[$cnf( $equal(not(xor(t5,xor(sum,t5))),not(sum)) )],[refute_0_5233,refute_0_5359]) ).
cnf(refute_0_5361,plain,
or(and(X,not(or(cin,sum))),and(not(X),or(cin,sum))) = xor(X,or(cin,sum)),
inference(subst,[],[refute_0_9:[bind(Y,$fot(or(cin,sum)))]]) ).
cnf(refute_0_5362,plain,
( not(or(cin,sum)) != xor(cin,t6)
| or(and(X,not(or(cin,sum))),and(not(X),or(cin,sum))) != xor(X,or(cin,sum))
| or(and(X,xor(cin,t6)),and(not(X),or(cin,sum))) = xor(X,or(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X,not(or(cin,sum))),and(not(X),or(cin,sum))),xor(X,or(cin,sum))) ),[0,0,1],$fot(xor(cin,t6))]]) ).
cnf(refute_0_5363,plain,
( or(and(X,not(or(cin,sum))),and(not(X),or(cin,sum))) != xor(X,or(cin,sum))
| or(and(X,xor(cin,t6)),and(not(X),or(cin,sum))) = xor(X,or(cin,sum)) ),
inference(resolve,[$cnf( $equal(not(or(cin,sum)),xor(cin,t6)) )],[refute_0_5323,refute_0_5362]) ).
cnf(refute_0_5364,plain,
or(and(X,xor(cin,t6)),and(not(X),or(cin,sum))) = xor(X,or(cin,sum)),
inference(resolve,[$cnf( $equal(or(and(X,not(or(cin,sum))),and(not(X),or(cin,sum))),xor(X,or(cin,sum))) )],[refute_0_5361,refute_0_5363]) ).
cnf(refute_0_5365,plain,
or(and(X,xor(cin,t6)),not(or(X,xor(cin,t6)))) = not(xor(X,xor(cin,t6))),
inference(subst,[],[refute_0_3631:[bind(X_64,$fot(xor(cin,t6)))]]) ).
cnf(refute_0_5366,plain,
or(and(X,xor(cin,t6)),and(not(X),or(cin,sum))) = or(and(X,xor(cin,t6)),and(not(X),or(cin,sum))),
introduced(tautology,[refl,[$fot(or(and(X,xor(cin,t6)),and(not(X),or(cin,sum))))]]) ).
cnf(refute_0_5367,plain,
( and(not(X),or(cin,sum)) != not(or(X,xor(cin,t6)))
| or(and(X,xor(cin,t6)),and(not(X),or(cin,sum))) != or(and(X,xor(cin,t6)),and(not(X),or(cin,sum)))
| or(and(X,xor(cin,t6)),and(not(X),or(cin,sum))) = or(and(X,xor(cin,t6)),not(or(X,xor(cin,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X,xor(cin,t6)),and(not(X),or(cin,sum))),or(and(X,xor(cin,t6)),and(not(X),or(cin,sum)))) ),[1,1],$fot(not(or(X,xor(cin,t6))))]]) ).
cnf(refute_0_5368,plain,
( and(not(X),or(cin,sum)) != not(or(X,xor(cin,t6)))
| or(and(X,xor(cin,t6)),and(not(X),or(cin,sum))) = or(and(X,xor(cin,t6)),not(or(X,xor(cin,t6)))) ),
inference(resolve,[$cnf( $equal(or(and(X,xor(cin,t6)),and(not(X),or(cin,sum))),or(and(X,xor(cin,t6)),and(not(X),or(cin,sum)))) )],[refute_0_5366,refute_0_5367]) ).
cnf(refute_0_5369,plain,
or(and(X,xor(cin,t6)),and(not(X),or(cin,sum))) = or(and(X,xor(cin,t6)),not(or(X,xor(cin,t6)))),
inference(resolve,[$cnf( $equal(and(not(X),or(cin,sum)),not(or(X,xor(cin,t6)))) )],[refute_0_2592,refute_0_5368]) ).
cnf(refute_0_5370,plain,
( or(and(X,xor(cin,t6)),and(not(X),or(cin,sum))) != or(and(X,xor(cin,t6)),not(or(X,xor(cin,t6))))
| or(and(X,xor(cin,t6)),not(or(X,xor(cin,t6)))) != not(xor(X,xor(cin,t6)))
| or(and(X,xor(cin,t6)),and(not(X),or(cin,sum))) = not(xor(X,xor(cin,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(X,xor(cin,t6)),and(not(X),or(cin,sum))))),bind(Y0,$fot(or(and(X,xor(cin,t6)),not(or(X,xor(cin,t6)))))),bind(Z0,$fot(not(xor(X,xor(cin,t6)))))]]) ).
cnf(refute_0_5371,plain,
( or(and(X,xor(cin,t6)),not(or(X,xor(cin,t6)))) != not(xor(X,xor(cin,t6)))
| or(and(X,xor(cin,t6)),and(not(X),or(cin,sum))) = not(xor(X,xor(cin,t6))) ),
inference(resolve,[$cnf( $equal(or(and(X,xor(cin,t6)),and(not(X),or(cin,sum))),or(and(X,xor(cin,t6)),not(or(X,xor(cin,t6))))) )],[refute_0_5369,refute_0_5370]) ).
cnf(refute_0_5372,plain,
or(and(X,xor(cin,t6)),and(not(X),or(cin,sum))) = not(xor(X,xor(cin,t6))),
inference(resolve,[$cnf( $equal(or(and(X,xor(cin,t6)),not(or(X,xor(cin,t6)))),not(xor(X,xor(cin,t6)))) )],[refute_0_5365,refute_0_5371]) ).
cnf(refute_0_5373,plain,
( or(and(X,xor(cin,t6)),and(not(X),or(cin,sum))) != not(xor(X,xor(cin,t6)))
| or(and(X,xor(cin,t6)),and(not(X),or(cin,sum))) != xor(X,or(cin,sum))
| not(xor(X,xor(cin,t6))) = xor(X,or(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X,xor(cin,t6)),and(not(X),or(cin,sum))),xor(X,or(cin,sum))) ),[0],$fot(not(xor(X,xor(cin,t6))))]]) ).
cnf(refute_0_5374,plain,
( or(and(X,xor(cin,t6)),and(not(X),or(cin,sum))) != xor(X,or(cin,sum))
| not(xor(X,xor(cin,t6))) = xor(X,or(cin,sum)) ),
inference(resolve,[$cnf( $equal(or(and(X,xor(cin,t6)),and(not(X),or(cin,sum))),not(xor(X,xor(cin,t6)))) )],[refute_0_5372,refute_0_5373]) ).
cnf(refute_0_5375,plain,
not(xor(X,xor(cin,t6))) = xor(X,or(cin,sum)),
inference(resolve,[$cnf( $equal(or(and(X,xor(cin,t6)),and(not(X),or(cin,sum))),xor(X,or(cin,sum))) )],[refute_0_5364,refute_0_5374]) ).
cnf(refute_0_5376,plain,
not(xor(t5,xor(cin,t6))) = xor(t5,or(cin,sum)),
inference(subst,[],[refute_0_5375:[bind(X,$fot(t5))]]) ).
cnf(refute_0_5377,plain,
( not(xor(t5,xor(cin,t6))) != not(sum)
| not(xor(t5,xor(cin,t6))) != xor(t5,or(cin,sum))
| xor(t5,or(cin,sum)) = not(sum) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t5,xor(cin,t6))),not(sum)) ),[0],$fot(xor(t5,or(cin,sum)))]]) ).
cnf(refute_0_5378,plain,
( not(xor(t5,xor(cin,t6))) != not(sum)
| xor(t5,or(cin,sum)) = not(sum) ),
inference(resolve,[$cnf( $equal(not(xor(t5,xor(cin,t6))),xor(t5,or(cin,sum))) )],[refute_0_5376,refute_0_5377]) ).
cnf(refute_0_5379,plain,
xor(t5,or(cin,sum)) = not(sum),
inference(resolve,[$cnf( $equal(not(xor(t5,xor(cin,t6))),not(sum)) )],[refute_0_5360,refute_0_5378]) ).
cnf(refute_0_5380,plain,
( xor(t5,or(cin,sum)) != not(sum)
| xor(t5,xor(or(cin,sum),Z)) != xor(xor(t5,or(cin,sum)),Z)
| xor(t5,xor(or(cin,sum),Z)) = xor(not(sum),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t5,xor(or(cin,sum),Z)),xor(xor(t5,or(cin,sum)),Z)) ),[1,0],$fot(not(sum))]]) ).
cnf(refute_0_5381,plain,
( xor(t5,xor(or(cin,sum),Z)) != xor(xor(t5,or(cin,sum)),Z)
| xor(t5,xor(or(cin,sum),Z)) = xor(not(sum),Z) ),
inference(resolve,[$cnf( $equal(xor(t5,or(cin,sum)),not(sum)) )],[refute_0_5379,refute_0_5380]) ).
cnf(refute_0_5382,plain,
xor(t5,xor(or(cin,sum),Z)) = xor(not(sum),Z),
inference(resolve,[$cnf( $equal(xor(t5,xor(or(cin,sum),Z)),xor(xor(t5,or(cin,sum)),Z)) )],[refute_0_4974,refute_0_5381]) ).
cnf(refute_0_5383,plain,
xor(not(sum),Z) = not(xor(sum,Z)),
inference(subst,[],[refute_0_2075:[bind(Y,$fot(Z)),bind(X_63,$fot(sum))]]) ).
cnf(refute_0_5384,plain,
( xor(not(sum),Z) != not(xor(sum,Z))
| xor(t5,xor(or(cin,sum),Z)) != xor(not(sum),Z)
| xor(t5,xor(or(cin,sum),Z)) = not(xor(sum,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t5,xor(or(cin,sum),Z)),xor(not(sum),Z)) ),[1],$fot(not(xor(sum,Z)))]]) ).
cnf(refute_0_5385,plain,
( xor(t5,xor(or(cin,sum),Z)) != xor(not(sum),Z)
| xor(t5,xor(or(cin,sum),Z)) = not(xor(sum,Z)) ),
inference(resolve,[$cnf( $equal(xor(not(sum),Z),not(xor(sum,Z))) )],[refute_0_5383,refute_0_5384]) ).
cnf(refute_0_5386,plain,
xor(t5,xor(or(cin,sum),Z)) = not(xor(sum,Z)),
inference(resolve,[$cnf( $equal(xor(t5,xor(or(cin,sum),Z)),xor(not(sum),Z)) )],[refute_0_5382,refute_0_5385]) ).
cnf(refute_0_5387,plain,
xor(t5,xor(or(cin,sum),t6)) = not(xor(sum,t6)),
inference(subst,[],[refute_0_5386:[bind(Z,$fot(t6))]]) ).
cnf(refute_0_5388,plain,
( not(xor(sum,t6)) != and(sum,t6)
| xor(t5,xor(or(cin,sum),t6)) != not(xor(sum,t6))
| xor(t5,xor(or(cin,sum),t6)) = and(sum,t6) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t5,xor(or(cin,sum),t6)))),bind(Y0,$fot(not(xor(sum,t6)))),bind(Z0,$fot(and(sum,t6)))]]) ).
cnf(refute_0_5389,plain,
( not(xor(sum,t6)) != and(sum,t6)
| xor(t5,xor(or(cin,sum),t6)) = and(sum,t6) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(or(cin,sum),t6)),not(xor(sum,t6))) )],[refute_0_5387,refute_0_5388]) ).
cnf(refute_0_5390,plain,
xor(t5,xor(or(cin,sum),t6)) = and(sum,t6),
inference(resolve,[$cnf( $equal(not(xor(sum,t6)),and(sum,t6)) )],[refute_0_4973,refute_0_5389]) ).
cnf(refute_0_5391,plain,
( not(t7) != xor(t5,xor(or(cin,sum),t6))
| xor(t5,xor(or(cin,sum),t6)) != and(sum,t6)
| not(t7) = and(sum,t6) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(t7),and(sum,t6)) ),[0],$fot(xor(t5,xor(or(cin,sum),t6)))]]) ).
cnf(refute_0_5392,plain,
( not(t7) != xor(t5,xor(or(cin,sum),t6))
| not(t7) = and(sum,t6) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(or(cin,sum),t6)),and(sum,t6)) )],[refute_0_5390,refute_0_5391]) ).
cnf(refute_0_5393,plain,
not(t7) = and(sum,t6),
inference(resolve,[$cnf( $equal(not(t7),xor(t5,xor(or(cin,sum),t6))) )],[refute_0_4969,refute_0_5392]) ).
cnf(refute_0_5394,plain,
( not(t7) != and(sum,t6)
| and(sum,t6) = not(t7) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t7))),bind(Y0,$fot(and(sum,t6)))]]) ).
cnf(refute_0_5395,plain,
and(sum,t6) = not(t7),
inference(resolve,[$cnf( $equal(not(t7),and(sum,t6)) )],[refute_0_5393,refute_0_5394]) ).
cnf(refute_0_5396,plain,
not(and(sum,t6)) = not(and(sum,t6)),
introduced(tautology,[refl,[$fot(not(and(sum,t6)))]]) ).
cnf(refute_0_5397,plain,
( and(sum,t6) != not(t7)
| not(and(sum,t6)) != not(and(sum,t6))
| not(and(sum,t6)) = not(not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(sum,t6)),not(and(sum,t6))) ),[1,0],$fot(not(t7))]]) ).
cnf(refute_0_5398,plain,
( and(sum,t6) != not(t7)
| not(and(sum,t6)) = not(not(t7)) ),
inference(resolve,[$cnf( $equal(not(and(sum,t6)),not(and(sum,t6))) )],[refute_0_5396,refute_0_5397]) ).
cnf(refute_0_5399,plain,
not(and(sum,t6)) = not(not(t7)),
inference(resolve,[$cnf( $equal(and(sum,t6),not(t7)) )],[refute_0_5395,refute_0_5398]) ).
cnf(refute_0_5400,plain,
( not(and(sum,t6)) != not(not(t7))
| not(not(t7)) != t7
| not(and(sum,t6)) = t7 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(sum,t6)))),bind(Y0,$fot(not(not(t7)))),bind(Z0,$fot(t7))]]) ).
cnf(refute_0_5401,plain,
( not(not(t7)) != t7
| not(and(sum,t6)) = t7 ),
inference(resolve,[$cnf( $equal(not(and(sum,t6)),not(not(t7))) )],[refute_0_5399,refute_0_5400]) ).
cnf(refute_0_5402,plain,
not(and(sum,t6)) = t7,
inference(resolve,[$cnf( $equal(not(not(t7)),t7) )],[refute_0_1105,refute_0_5401]) ).
cnf(refute_0_5403,plain,
( not(and(sum,t6)) != t7
| not(and(sum,t6)) != xor(sum,t6)
| t7 = xor(sum,t6) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(sum,t6)),xor(sum,t6)) ),[0],$fot(t7)]]) ).
cnf(refute_0_5404,plain,
( not(and(sum,t6)) != xor(sum,t6)
| t7 = xor(sum,t6) ),
inference(resolve,[$cnf( $equal(not(and(sum,t6)),t7) )],[refute_0_5402,refute_0_5403]) ).
cnf(refute_0_5405,plain,
t7 = xor(sum,t6),
inference(resolve,[$cnf( $equal(not(and(sum,t6)),xor(sum,t6)) )],[refute_0_4947,refute_0_5404]) ).
cnf(refute_0_5406,plain,
( t7 != xor(sum,t6)
| xor(sum,t6) = t7 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(t7)),bind(Y0,$fot(xor(sum,t6)))]]) ).
cnf(refute_0_5407,plain,
xor(sum,t6) = t7,
inference(resolve,[$cnf( $equal(t7,xor(sum,t6)) )],[refute_0_5405,refute_0_5406]) ).
cnf(refute_0_5408,plain,
( xor(sum,t6) != t7
| xor(sum,xor(t6,Z)) != xor(xor(sum,t6),Z)
| xor(sum,xor(t6,Z)) = xor(t7,Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,xor(t6,Z)),xor(xor(sum,t6),Z)) ),[1,0],$fot(t7)]]) ).
cnf(refute_0_5409,plain,
( xor(sum,xor(t6,Z)) != xor(xor(sum,t6),Z)
| xor(sum,xor(t6,Z)) = xor(t7,Z) ),
inference(resolve,[$cnf( $equal(xor(sum,t6),t7) )],[refute_0_5407,refute_0_5408]) ).
cnf(refute_0_5410,plain,
xor(sum,xor(t6,Z)) = xor(t7,Z),
inference(resolve,[$cnf( $equal(xor(sum,xor(t6,Z)),xor(xor(sum,t6),Z)) )],[refute_0_4910,refute_0_5409]) ).
cnf(refute_0_5411,plain,
xor(sum,xor(t6,and(sum,or(a,b)))) = xor(t7,and(sum,or(a,b))),
inference(subst,[],[refute_0_5410:[bind(Z,$fot(and(sum,or(a,b))))]]) ).
cnf(refute_0_5412,plain,
xor(t6,xor(t6,or(t1,t7))) = or(t1,t7),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(t6)),bind(X_335,$fot(or(t1,t7)))]]) ).
cnf(refute_0_5413,plain,
or(and(sum,not(xor(t7,or(t1,and(t3,t7))))),and(not(sum),xor(t7,or(t1,and(t3,t7))))) = xor(sum,xor(t7,or(t1,and(t3,t7)))),
inference(subst,[],[refute_0_9:[bind(X,$fot(sum)),bind(Y,$fot(xor(t7,or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_5414,plain,
and(and(t6,t7),X_222) = and(t6,and(t7,X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(t6)),bind(Y,$fot(t7)),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_5415,plain,
( and(and(t6,t7),X_222) != and(t6,and(t7,X_222))
| and(t6,t7) != not(sum)
| and(not(sum),X_222) = and(t6,and(t7,X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t6,t7),X_222),and(t6,and(t7,X_222))) ),[0,0],$fot(not(sum))]]) ).
cnf(refute_0_5416,plain,
( and(and(t6,t7),X_222) != and(t6,and(t7,X_222))
| and(not(sum),X_222) = and(t6,and(t7,X_222)) ),
inference(resolve,[$cnf( $equal(and(t6,t7),not(sum)) )],[refute_0_1039,refute_0_5415]) ).
cnf(refute_0_5417,plain,
and(not(sum),X_222) = and(t6,and(t7,X_222)),
inference(resolve,[$cnf( $equal(and(and(t6,t7),X_222),and(t6,and(t7,X_222))) )],[refute_0_5414,refute_0_5416]) ).
cnf(refute_0_5418,plain,
and(not(sum),xor(t7,or(t1,and(t3,t7)))) = and(t6,and(t7,xor(t7,or(t1,and(t3,t7))))),
inference(subst,[],[refute_0_5417:[bind(X_222,$fot(xor(t7,or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_5419,plain,
and(and(X_220,not(X_220)),X_222) = and(X_220,and(not(X_220),X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(X_220)),bind(Y,$fot(not(X_220))),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_5420,plain,
and(X_220,not(X_220)) = ll0,
inference(subst,[],[and_complement:[bind(X,$fot(X_220))]]) ).
cnf(refute_0_5421,plain,
( and(X_220,not(X_220)) != ll0
| and(and(X_220,not(X_220)),X_222) != and(X_220,and(not(X_220),X_222))
| and(ll0,X_222) = and(X_220,and(not(X_220),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X_220,not(X_220)),X_222),and(X_220,and(not(X_220),X_222))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_5422,plain,
( and(and(X_220,not(X_220)),X_222) != and(X_220,and(not(X_220),X_222))
| and(ll0,X_222) = and(X_220,and(not(X_220),X_222)) ),
inference(resolve,[$cnf( $equal(and(X_220,not(X_220)),ll0) )],[refute_0_5420,refute_0_5421]) ).
cnf(refute_0_5423,plain,
and(ll0,X_222) = and(X_220,and(not(X_220),X_222)),
inference(resolve,[$cnf( $equal(and(and(X_220,not(X_220)),X_222),and(X_220,and(not(X_220),X_222))) )],[refute_0_5419,refute_0_5422]) ).
cnf(refute_0_5424,plain,
( and(ll0,X_222) != and(X_220,and(not(X_220),X_222))
| and(ll0,X_222) != ll0
| ll0 = and(X_220,and(not(X_220),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(ll0,X_222),and(X_220,and(not(X_220),X_222))) ),[0],$fot(ll0)]]) ).
cnf(refute_0_5425,plain,
( and(ll0,X_222) != and(X_220,and(not(X_220),X_222))
| ll0 = and(X_220,and(not(X_220),X_222)) ),
inference(resolve,[$cnf( $equal(and(ll0,X_222),ll0) )],[refute_0_873,refute_0_5424]) ).
cnf(refute_0_5426,plain,
ll0 = and(X_220,and(not(X_220),X_222)),
inference(resolve,[$cnf( $equal(and(ll0,X_222),and(X_220,and(not(X_220),X_222))) )],[refute_0_5423,refute_0_5425]) ).
cnf(refute_0_5427,plain,
ll0 = and(t7,and(not(t7),or(t1,and(t3,t7)))),
inference(subst,[],[refute_0_5426:[bind(X_220,$fot(t7)),bind(X_222,$fot(or(t1,and(t3,t7))))]]) ).
cnf(refute_0_5428,plain,
or(and(t7,not(or(t1,and(t3,t7)))),and(not(t7),or(t1,and(t3,t7)))) = xor(t7,or(t1,and(t3,t7))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t7)),bind(Y,$fot(or(t1,and(t3,t7))))]]) ).
cnf(refute_0_5429,plain,
and(and(b,t3),Z) = and(b,and(t3,Z)),
inference(subst,[],[and_associative:[bind(X,$fot(b)),bind(Y,$fot(t3))]]) ).
cnf(refute_0_5430,plain,
( and(and(b,t3),Z) != and(b,and(t3,Z))
| and(b,t3) != not(t1)
| and(not(t1),Z) = and(b,and(t3,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(b,t3),Z),and(b,and(t3,Z))) ),[0,0],$fot(not(t1))]]) ).
cnf(refute_0_5431,plain,
( and(and(b,t3),Z) != and(b,and(t3,Z))
| and(not(t1),Z) = and(b,and(t3,Z)) ),
inference(resolve,[$cnf( $equal(and(b,t3),not(t1)) )],[refute_0_3563,refute_0_5430]) ).
cnf(refute_0_5432,plain,
and(not(t1),Z) = and(b,and(t3,Z)),
inference(resolve,[$cnf( $equal(and(and(b,t3),Z),and(b,and(t3,Z))) )],[refute_0_5429,refute_0_5431]) ).
cnf(refute_0_5433,plain,
and(not(t1),and(t7,xor(t3,t7))) = and(b,and(t3,and(t7,xor(t3,t7)))),
inference(subst,[],[refute_0_5432:[bind(Z,$fot(and(t7,xor(t3,t7))))]]) ).
cnf(refute_0_5434,plain,
and(and(t3,t7),not(and(t3,t7))) = ll0,
inference(subst,[],[and_complement:[bind(X,$fot(and(t3,t7)))]]) ).
cnf(refute_0_5435,plain,
or(and(t7,not(t3)),and(not(t7),t3)) = xor(t7,t3),
inference(subst,[],[refute_0_9:[bind(X,$fot(t7)),bind(Y,$fot(t3))]]) ).
cnf(refute_0_5436,plain,
not(or(not(t7),t3)) = not(or(t3,not(t7))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(t3)),bind(X_26,$fot(not(t7)))]]) ).
cnf(refute_0_5437,plain,
or(t3,and(X_14,not(t4))) = or(t3,or(not(t4),and(X_14,not(t4)))),
inference(subst,[],[refute_0_622:[bind(X_39,$fot(and(X_14,not(t4))))]]) ).
cnf(refute_0_5438,plain,
( or(not(t4),and(X_14,not(t4))) != not(t4)
| or(t3,and(X_14,not(t4))) != or(t3,or(not(t4),and(X_14,not(t4))))
| or(t3,and(X_14,not(t4))) = or(t3,not(t4)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,and(X_14,not(t4))),or(t3,or(not(t4),and(X_14,not(t4))))) ),[1,1],$fot(not(t4))]]) ).
cnf(refute_0_5439,plain,
( or(t3,and(X_14,not(t4))) != or(t3,or(not(t4),and(X_14,not(t4))))
| or(t3,and(X_14,not(t4))) = or(t3,not(t4)) ),
inference(resolve,[$cnf( $equal(or(not(t4),and(X_14,not(t4))),not(t4)) )],[refute_0_1247,refute_0_5438]) ).
cnf(refute_0_5440,plain,
or(t3,and(X_14,not(t4))) = or(t3,not(t4)),
inference(resolve,[$cnf( $equal(or(t3,and(X_14,not(t4))),or(t3,or(not(t4),and(X_14,not(t4))))) )],[refute_0_5437,refute_0_5439]) ).
cnf(refute_0_5441,plain,
( or(t3,and(X_14,not(t4))) != or(t3,not(t4))
| or(t3,not(t4)) != t3
| or(t3,and(X_14,not(t4))) = t3 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(t3,and(X_14,not(t4))),t3) ),[0],$fot(or(t3,not(t4)))]]) ).
cnf(refute_0_5442,plain,
( or(t3,and(X_14,not(t4))) != or(t3,not(t4))
| or(t3,and(X_14,not(t4))) = t3 ),
inference(resolve,[$cnf( $equal(or(t3,not(t4)),t3) )],[refute_0_619,refute_0_5441]) ).
cnf(refute_0_5443,plain,
or(t3,and(X_14,not(t4))) = t3,
inference(resolve,[$cnf( $equal(or(t3,and(X_14,not(t4))),or(t3,not(t4))) )],[refute_0_5440,refute_0_5442]) ).
cnf(refute_0_5444,plain,
or(t3,and(cin,not(t4))) = t3,
inference(subst,[],[refute_0_5443:[bind(X_14,$fot(cin))]]) ).
cnf(refute_0_5445,plain,
and(and(cin,not(t4)),or(t4,and(cin,not(t4)))) = and(cin,not(t4)),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(and(cin,not(t4)))),bind(X_20,$fot(t4))]]) ).
cnf(refute_0_5446,plain,
not(not(or(t4,and(cin,not(t4))))) = or(t4,and(cin,not(t4))),
inference(subst,[],[not_involution:[bind(X,$fot(or(t4,and(cin,not(t4)))))]]) ).
cnf(refute_0_5447,plain,
and(and(t5,t6),Z) = and(t5,and(t6,Z)),
inference(subst,[],[and_associative:[bind(X,$fot(t5)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_5448,plain,
( and(and(t5,t6),Z) != and(t5,and(t6,Z))
| and(t5,t6) != not(t4)
| and(not(t4),Z) = and(t5,and(t6,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t5,t6),Z),and(t5,and(t6,Z))) ),[0,0],$fot(not(t4))]]) ).
cnf(refute_0_5449,plain,
( and(and(t5,t6),Z) != and(t5,and(t6,Z))
| and(not(t4),Z) = and(t5,and(t6,Z)) ),
inference(resolve,[$cnf( $equal(and(t5,t6),not(t4)) )],[refute_0_4573,refute_0_5448]) ).
cnf(refute_0_5450,plain,
and(not(t4),Z) = and(t5,and(t6,Z)),
inference(resolve,[$cnf( $equal(and(and(t5,t6),Z),and(t5,and(t6,Z))) )],[refute_0_5447,refute_0_5449]) ).
cnf(refute_0_5451,plain,
and(not(t4),or(t4,not(cin))) = and(t5,and(t6,or(t4,not(cin)))),
inference(subst,[],[refute_0_5450:[bind(Z,$fot(or(t4,not(cin))))]]) ).
cnf(refute_0_5452,plain,
not(not(and(or(cin,t6),or(t4,not(cin))))) = and(or(cin,t6),or(t4,not(cin))),
inference(subst,[],[not_involution:[bind(X,$fot(and(or(cin,t6),or(t4,not(cin)))))]]) ).
cnf(refute_0_5453,plain,
or(and(t4,not(cin)),and(not(t4),cin)) = xor(t4,cin),
inference(subst,[],[refute_0_9:[bind(X,$fot(t4)),bind(Y,$fot(cin))]]) ).
cnf(refute_0_5454,plain,
and(not(t6),not(cin)) = and(t4,and(t5,not(cin))),
inference(subst,[],[refute_0_667:[bind(X_222,$fot(not(cin)))]]) ).
cnf(refute_0_5455,plain,
( and(not(t6),not(cin)) != and(t4,and(t5,not(cin)))
| and(t5,not(cin)) != not(cin)
| and(not(t6),not(cin)) = and(t4,not(cin)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),not(cin)),and(t4,and(t5,not(cin)))) ),[1,1],$fot(not(cin))]]) ).
cnf(refute_0_5456,plain,
( and(not(t6),not(cin)) != and(t4,and(t5,not(cin)))
| and(not(t6),not(cin)) = and(t4,not(cin)) ),
inference(resolve,[$cnf( $equal(and(t5,not(cin)),not(cin)) )],[refute_0_2289,refute_0_5455]) ).
cnf(refute_0_5457,plain,
and(not(t6),not(cin)) = and(t4,not(cin)),
inference(resolve,[$cnf( $equal(and(not(t6),not(cin)),and(t4,and(t5,not(cin)))) )],[refute_0_5454,refute_0_5456]) ).
cnf(refute_0_5458,plain,
not(or(t6,cin)) = not(or(cin,t6)),
inference(subst,[],[refute_0_562:[bind(X_25,$fot(t6)),bind(X_26,$fot(cin))]]) ).
cnf(refute_0_5459,plain,
and(not(t6),not(cin)) = not(or(t6,cin)),
inference(subst,[],[refute_0_101:[bind(X,$fot(t6)),bind(Y,$fot(cin))]]) ).
cnf(refute_0_5460,plain,
( and(not(t6),not(cin)) != not(or(t6,cin))
| not(or(t6,cin)) != not(or(cin,t6))
| and(not(t6),not(cin)) = not(or(cin,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t6),not(cin)))),bind(Y0,$fot(not(or(t6,cin)))),bind(Z0,$fot(not(or(cin,t6))))]]) ).
cnf(refute_0_5461,plain,
( not(or(t6,cin)) != not(or(cin,t6))
| and(not(t6),not(cin)) = not(or(cin,t6)) ),
inference(resolve,[$cnf( $equal(and(not(t6),not(cin)),not(or(t6,cin))) )],[refute_0_5459,refute_0_5460]) ).
cnf(refute_0_5462,plain,
and(not(t6),not(cin)) = not(or(cin,t6)),
inference(resolve,[$cnf( $equal(not(or(t6,cin)),not(or(cin,t6))) )],[refute_0_5458,refute_0_5461]) ).
cnf(refute_0_5463,plain,
( and(not(t6),not(cin)) != and(t4,not(cin))
| and(not(t6),not(cin)) != not(or(cin,t6))
| not(or(cin,t6)) = and(t4,not(cin)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),not(cin)),and(t4,not(cin))) ),[0],$fot(not(or(cin,t6)))]]) ).
cnf(refute_0_5464,plain,
( and(not(t6),not(cin)) != and(t4,not(cin))
| not(or(cin,t6)) = and(t4,not(cin)) ),
inference(resolve,[$cnf( $equal(and(not(t6),not(cin)),not(or(cin,t6))) )],[refute_0_5462,refute_0_5463]) ).
cnf(refute_0_5465,plain,
not(or(cin,t6)) = and(t4,not(cin)),
inference(resolve,[$cnf( $equal(and(not(t6),not(cin)),and(t4,not(cin))) )],[refute_0_5457,refute_0_5464]) ).
cnf(refute_0_5466,plain,
( not(or(cin,t6)) != and(t4,not(cin))
| and(t4,not(cin)) = not(or(cin,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(cin,t6)))),bind(Y0,$fot(and(t4,not(cin))))]]) ).
cnf(refute_0_5467,plain,
and(t4,not(cin)) = not(or(cin,t6)),
inference(resolve,[$cnf( $equal(not(or(cin,t6)),and(t4,not(cin))) )],[refute_0_5465,refute_0_5466]) ).
cnf(refute_0_5468,plain,
( and(t4,not(cin)) != not(or(cin,t6))
| or(and(t4,not(cin)),and(not(t4),cin)) != xor(t4,cin)
| or(not(or(cin,t6)),and(not(t4),cin)) = xor(t4,cin) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,not(cin)),and(not(t4),cin)),xor(t4,cin)) ),[0,0],$fot(not(or(cin,t6)))]]) ).
cnf(refute_0_5469,plain,
( or(and(t4,not(cin)),and(not(t4),cin)) != xor(t4,cin)
| or(not(or(cin,t6)),and(not(t4),cin)) = xor(t4,cin) ),
inference(resolve,[$cnf( $equal(and(t4,not(cin)),not(or(cin,t6))) )],[refute_0_5467,refute_0_5468]) ).
cnf(refute_0_5470,plain,
or(not(or(cin,t6)),and(not(t4),cin)) = xor(t4,cin),
inference(resolve,[$cnf( $equal(or(and(t4,not(cin)),and(not(t4),cin)),xor(t4,cin)) )],[refute_0_5453,refute_0_5469]) ).
cnf(refute_0_5471,plain,
or(not(or(cin,t6)),and(not(t4),cin)) = not(and(or(cin,t6),or(t4,not(cin)))),
inference(subst,[],[refute_0_1337:[bind(X,$fot(or(cin,t6))),bind(X_78,$fot(cin)),bind(X_79,$fot(t4))]]) ).
cnf(refute_0_5472,plain,
( or(not(or(cin,t6)),and(not(t4),cin)) != not(and(or(cin,t6),or(t4,not(cin))))
| or(not(or(cin,t6)),and(not(t4),cin)) != xor(t4,cin)
| not(and(or(cin,t6),or(t4,not(cin)))) = xor(t4,cin) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(or(cin,t6)),and(not(t4),cin)),xor(t4,cin)) ),[0],$fot(not(and(or(cin,t6),or(t4,not(cin)))))]]) ).
cnf(refute_0_5473,plain,
( or(not(or(cin,t6)),and(not(t4),cin)) != xor(t4,cin)
| not(and(or(cin,t6),or(t4,not(cin)))) = xor(t4,cin) ),
inference(resolve,[$cnf( $equal(or(not(or(cin,t6)),and(not(t4),cin)),not(and(or(cin,t6),or(t4,not(cin))))) )],[refute_0_5471,refute_0_5472]) ).
cnf(refute_0_5474,plain,
( not(and(or(cin,t6),or(t4,not(cin)))) != xor(t4,cin)
| xor(t4,cin) != xor(cin,t4)
| not(and(or(cin,t6),or(t4,not(cin)))) = xor(cin,t4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(or(cin,t6),or(t4,not(cin)))),xor(cin,t4)) ),[0],$fot(xor(t4,cin))]]) ).
cnf(refute_0_5475,plain,
( not(and(or(cin,t6),or(t4,not(cin)))) != xor(t4,cin)
| not(and(or(cin,t6),or(t4,not(cin)))) = xor(cin,t4) ),
inference(resolve,[$cnf( $equal(xor(t4,cin),xor(cin,t4)) )],[refute_0_4703,refute_0_5474]) ).
cnf(refute_0_5476,plain,
( or(not(or(cin,t6)),and(not(t4),cin)) != xor(t4,cin)
| not(and(or(cin,t6),or(t4,not(cin)))) = xor(cin,t4) ),
inference(resolve,[$cnf( $equal(not(and(or(cin,t6),or(t4,not(cin)))),xor(t4,cin)) )],[refute_0_5473,refute_0_5475]) ).
cnf(refute_0_5477,plain,
not(and(or(cin,t6),or(t4,not(cin)))) = xor(cin,t4),
inference(resolve,[$cnf( $equal(or(not(or(cin,t6)),and(not(t4),cin)),xor(t4,cin)) )],[refute_0_5470,refute_0_5476]) ).
cnf(refute_0_5478,plain,
( not(and(or(cin,t6),or(t4,not(cin)))) != xor(cin,t4)
| not(not(and(or(cin,t6),or(t4,not(cin))))) != and(or(cin,t6),or(t4,not(cin)))
| not(xor(cin,t4)) = and(or(cin,t6),or(t4,not(cin))) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(or(cin,t6),or(t4,not(cin))))),and(or(cin,t6),or(t4,not(cin)))) ),[0,0],$fot(xor(cin,t4))]]) ).
cnf(refute_0_5479,plain,
( not(not(and(or(cin,t6),or(t4,not(cin))))) != and(or(cin,t6),or(t4,not(cin)))
| not(xor(cin,t4)) = and(or(cin,t6),or(t4,not(cin))) ),
inference(resolve,[$cnf( $equal(not(and(or(cin,t6),or(t4,not(cin)))),xor(cin,t4)) )],[refute_0_5477,refute_0_5478]) ).
cnf(refute_0_5480,plain,
not(xor(cin,t4)) = and(or(cin,t6),or(t4,not(cin))),
inference(resolve,[$cnf( $equal(not(not(and(or(cin,t6),or(t4,not(cin))))),and(or(cin,t6),or(t4,not(cin)))) )],[refute_0_5452,refute_0_5479]) ).
cnf(refute_0_5481,plain,
or(t6,and(cin,t6)) = t6,
inference(subst,[],[refute_0_222:[bind(X_13,$fot(t6)),bind(X_14,$fot(cin))]]) ).
cnf(refute_0_5482,plain,
and(cin,or(cin,xor(cin,t6))) = cin,
inference(subst,[],[and_absorption:[bind(X,$fot(cin)),bind(Y,$fot(xor(cin,t6)))]]) ).
cnf(refute_0_5483,plain,
( and(cin,or(cin,xor(cin,t6))) != cin
| or(cin,xor(cin,t6)) != t6
| and(cin,t6) = cin ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,or(cin,xor(cin,t6))),cin) ),[0,1],$fot(t6)]]) ).
cnf(refute_0_5484,plain,
( and(cin,or(cin,xor(cin,t6))) != cin
| and(cin,t6) = cin ),
inference(resolve,[$cnf( $equal(or(cin,xor(cin,t6)),t6) )],[refute_0_1473,refute_0_5483]) ).
cnf(refute_0_5485,plain,
and(cin,t6) = cin,
inference(resolve,[$cnf( $equal(and(cin,or(cin,xor(cin,t6))),cin) )],[refute_0_5482,refute_0_5484]) ).
cnf(refute_0_5486,plain,
( and(cin,t6) != cin
| or(t6,and(cin,t6)) != t6
| or(t6,cin) = t6 ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,and(cin,t6)),t6) ),[0,1],$fot(cin)]]) ).
cnf(refute_0_5487,plain,
( or(t6,and(cin,t6)) != t6
| or(t6,cin) = t6 ),
inference(resolve,[$cnf( $equal(and(cin,t6),cin) )],[refute_0_5485,refute_0_5486]) ).
cnf(refute_0_5488,plain,
or(t6,cin) = t6,
inference(resolve,[$cnf( $equal(or(t6,and(cin,t6)),t6) )],[refute_0_5481,refute_0_5487]) ).
cnf(refute_0_5489,plain,
or(t6,cin) = or(cin,t6),
inference(subst,[],[refute_0_5:[bind(X,$fot(cin)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_5490,plain,
( or(t6,cin) != or(cin,t6)
| or(t6,cin) != t6
| or(cin,t6) = t6 ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,cin),t6) ),[0],$fot(or(cin,t6))]]) ).
cnf(refute_0_5491,plain,
( or(t6,cin) != t6
| or(cin,t6) = t6 ),
inference(resolve,[$cnf( $equal(or(t6,cin),or(cin,t6)) )],[refute_0_5489,refute_0_5490]) ).
cnf(refute_0_5492,plain,
or(cin,t6) = t6,
inference(resolve,[$cnf( $equal(or(t6,cin),t6) )],[refute_0_5488,refute_0_5491]) ).
cnf(refute_0_5493,plain,
and(or(cin,t6),or(t4,not(cin))) = and(or(cin,t6),or(t4,not(cin))),
introduced(tautology,[refl,[$fot(and(or(cin,t6),or(t4,not(cin))))]]) ).
cnf(refute_0_5494,plain,
( and(or(cin,t6),or(t4,not(cin))) != and(or(cin,t6),or(t4,not(cin)))
| or(cin,t6) != t6
| and(or(cin,t6),or(t4,not(cin))) = and(t6,or(t4,not(cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(cin,t6),or(t4,not(cin))),and(or(cin,t6),or(t4,not(cin)))) ),[1,0],$fot(t6)]]) ).
cnf(refute_0_5495,plain,
( or(cin,t6) != t6
| and(or(cin,t6),or(t4,not(cin))) = and(t6,or(t4,not(cin))) ),
inference(resolve,[$cnf( $equal(and(or(cin,t6),or(t4,not(cin))),and(or(cin,t6),or(t4,not(cin)))) )],[refute_0_5493,refute_0_5494]) ).
cnf(refute_0_5496,plain,
and(or(cin,t6),or(t4,not(cin))) = and(t6,or(t4,not(cin))),
inference(resolve,[$cnf( $equal(or(cin,t6),t6) )],[refute_0_5492,refute_0_5495]) ).
cnf(refute_0_5497,plain,
( and(or(cin,t6),or(t4,not(cin))) != and(t6,or(t4,not(cin)))
| not(xor(cin,t4)) != and(or(cin,t6),or(t4,not(cin)))
| not(xor(cin,t4)) = and(t6,or(t4,not(cin))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(cin,t4)),and(or(cin,t6),or(t4,not(cin)))) ),[1],$fot(and(t6,or(t4,not(cin))))]]) ).
cnf(refute_0_5498,plain,
( not(xor(cin,t4)) != and(or(cin,t6),or(t4,not(cin)))
| not(xor(cin,t4)) = and(t6,or(t4,not(cin))) ),
inference(resolve,[$cnf( $equal(and(or(cin,t6),or(t4,not(cin))),and(t6,or(t4,not(cin)))) )],[refute_0_5496,refute_0_5497]) ).
cnf(refute_0_5499,plain,
not(xor(cin,t4)) = and(t6,or(t4,not(cin))),
inference(resolve,[$cnf( $equal(not(xor(cin,t4)),and(or(cin,t6),or(t4,not(cin)))) )],[refute_0_5480,refute_0_5498]) ).
cnf(refute_0_5500,plain,
not(xor(cin,t4)) = not(xor(cin,t4)),
introduced(tautology,[refl,[$fot(not(xor(cin,t4)))]]) ).
cnf(refute_0_5501,plain,
( not(xor(cin,t4)) != not(xor(cin,t4))
| xor(cin,t4) != sum
| not(xor(cin,t4)) = not(sum) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(cin,t4)),not(xor(cin,t4))) ),[1,0],$fot(sum)]]) ).
cnf(refute_0_5502,plain,
( xor(cin,t4) != sum
| not(xor(cin,t4)) = not(sum) ),
inference(resolve,[$cnf( $equal(not(xor(cin,t4)),not(xor(cin,t4))) )],[refute_0_5500,refute_0_5501]) ).
cnf(refute_0_5503,plain,
not(xor(cin,t4)) = not(sum),
inference(resolve,[$cnf( $equal(xor(cin,t4),sum) )],[refute_0_4709,refute_0_5502]) ).
cnf(refute_0_5504,plain,
( not(xor(cin,t4)) != and(t6,or(t4,not(cin)))
| not(xor(cin,t4)) != not(sum)
| not(sum) = and(t6,or(t4,not(cin))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(cin,t4)),and(t6,or(t4,not(cin)))) ),[0],$fot(not(sum))]]) ).
cnf(refute_0_5505,plain,
( not(xor(cin,t4)) != and(t6,or(t4,not(cin)))
| not(sum) = and(t6,or(t4,not(cin))) ),
inference(resolve,[$cnf( $equal(not(xor(cin,t4)),not(sum)) )],[refute_0_5503,refute_0_5504]) ).
cnf(refute_0_5506,plain,
not(sum) = and(t6,or(t4,not(cin))),
inference(resolve,[$cnf( $equal(not(xor(cin,t4)),and(t6,or(t4,not(cin)))) )],[refute_0_5499,refute_0_5505]) ).
cnf(refute_0_5507,plain,
( not(sum) != and(t6,or(t4,not(cin)))
| and(t6,or(t4,not(cin))) = not(sum) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(sum))),bind(Y0,$fot(and(t6,or(t4,not(cin)))))]]) ).
cnf(refute_0_5508,plain,
and(t6,or(t4,not(cin))) = not(sum),
inference(resolve,[$cnf( $equal(not(sum),and(t6,or(t4,not(cin)))) )],[refute_0_5506,refute_0_5507]) ).
cnf(refute_0_5509,plain,
( and(not(t4),or(t4,not(cin))) != and(t5,and(t6,or(t4,not(cin))))
| and(t6,or(t4,not(cin))) != not(sum)
| and(not(t4),or(t4,not(cin))) = and(t5,not(sum)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),or(t4,not(cin))),and(t5,and(t6,or(t4,not(cin))))) ),[1,1],$fot(not(sum))]]) ).
cnf(refute_0_5510,plain,
( and(not(t4),or(t4,not(cin))) != and(t5,and(t6,or(t4,not(cin))))
| and(not(t4),or(t4,not(cin))) = and(t5,not(sum)) ),
inference(resolve,[$cnf( $equal(and(t6,or(t4,not(cin))),not(sum)) )],[refute_0_5508,refute_0_5509]) ).
cnf(refute_0_5511,plain,
and(not(t4),or(t4,not(cin))) = and(t5,not(sum)),
inference(resolve,[$cnf( $equal(and(not(t4),or(t4,not(cin))),and(t5,and(t6,or(t4,not(cin))))) )],[refute_0_5451,refute_0_5510]) ).
cnf(refute_0_5512,plain,
not(or(X,and(X_206,X_205))) = and(not(X),not(and(X_206,X_205))),
inference(subst,[],[or_demorgan:[bind(Y,$fot(and(X_206,X_205)))]]) ).
cnf(refute_0_5513,plain,
( not(and(X_206,X_205)) != not(and(X_205,X_206))
| not(or(X,and(X_206,X_205))) != and(not(X),not(and(X_206,X_205)))
| not(or(X,and(X_206,X_205))) = and(not(X),not(and(X_205,X_206))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,and(X_206,X_205))),and(not(X),not(and(X_206,X_205)))) ),[1,1],$fot(not(and(X_205,X_206)))]]) ).
cnf(refute_0_5514,plain,
( not(or(X,and(X_206,X_205))) != and(not(X),not(and(X_206,X_205)))
| not(or(X,and(X_206,X_205))) = and(not(X),not(and(X_205,X_206))) ),
inference(resolve,[$cnf( $equal(not(and(X_206,X_205)),not(and(X_205,X_206))) )],[refute_0_4066,refute_0_5513]) ).
cnf(refute_0_5515,plain,
not(or(X,and(X_206,X_205))) = and(not(X),not(and(X_205,X_206))),
inference(resolve,[$cnf( $equal(not(or(X,and(X_206,X_205))),and(not(X),not(and(X_206,X_205)))) )],[refute_0_5512,refute_0_5514]) ).
cnf(refute_0_5516,plain,
and(not(X),not(and(X_205,X_206))) = not(or(X,and(X_205,X_206))),
inference(subst,[],[refute_0_101:[bind(Y,$fot(and(X_205,X_206)))]]) ).
cnf(refute_0_5517,plain,
( and(not(X),not(and(X_205,X_206))) != not(or(X,and(X_205,X_206)))
| not(or(X,and(X_206,X_205))) != and(not(X),not(and(X_205,X_206)))
| not(or(X,and(X_206,X_205))) = not(or(X,and(X_205,X_206))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,and(X_206,X_205))),and(not(X),not(and(X_205,X_206)))) ),[1],$fot(not(or(X,and(X_205,X_206))))]]) ).
cnf(refute_0_5518,plain,
( not(or(X,and(X_206,X_205))) != and(not(X),not(and(X_205,X_206)))
| not(or(X,and(X_206,X_205))) = not(or(X,and(X_205,X_206))) ),
inference(resolve,[$cnf( $equal(and(not(X),not(and(X_205,X_206))),not(or(X,and(X_205,X_206)))) )],[refute_0_5516,refute_0_5517]) ).
cnf(refute_0_5519,plain,
not(or(X,and(X_206,X_205))) = not(or(X,and(X_205,X_206))),
inference(resolve,[$cnf( $equal(not(or(X,and(X_206,X_205))),and(not(X),not(and(X_205,X_206)))) )],[refute_0_5515,refute_0_5518]) ).
cnf(refute_0_5520,plain,
( not(or(X,and(X_206,X_205))) != not(or(X,and(X_205,X_206)))
| not(or(X,and(X_205,X_206))) = not(or(X,and(X_206,X_205))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X,and(X_206,X_205))))),bind(Y0,$fot(not(or(X,and(X_205,X_206)))))]]) ).
cnf(refute_0_5521,plain,
not(or(X,and(X_205,X_206))) = not(or(X,and(X_206,X_205))),
inference(resolve,[$cnf( $equal(not(or(X,and(X_206,X_205))),not(or(X,and(X_205,X_206)))) )],[refute_0_5519,refute_0_5520]) ).
cnf(refute_0_5522,plain,
not(or(t4,and(not(t4),cin))) = not(or(t4,and(cin,not(t4)))),
inference(subst,[],[refute_0_5521:[bind(X,$fot(t4)),bind(X_205,$fot(not(t4))),bind(X_206,$fot(cin))]]) ).
cnf(refute_0_5523,plain,
not(or(X,and(not(X_33),X_34))) = and(not(X),not(and(not(X_33),X_34))),
inference(subst,[],[or_demorgan:[bind(Y,$fot(and(not(X_33),X_34)))]]) ).
cnf(refute_0_5524,plain,
not(and(not(X_33),X_34)) = or(X_33,not(X_34)),
inference(subst,[],[refute_0_787:[bind(X,$fot(X_33)),bind(X_32,$fot(X_34))]]) ).
cnf(refute_0_5525,plain,
( not(and(not(X_33),X_34)) != or(X_33,not(X_34))
| not(or(X,and(not(X_33),X_34))) != and(not(X),not(and(not(X_33),X_34)))
| not(or(X,and(not(X_33),X_34))) = and(not(X),or(X_33,not(X_34))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,and(not(X_33),X_34))),and(not(X),not(and(not(X_33),X_34)))) ),[1,1],$fot(or(X_33,not(X_34)))]]) ).
cnf(refute_0_5526,plain,
( not(or(X,and(not(X_33),X_34))) != and(not(X),not(and(not(X_33),X_34)))
| not(or(X,and(not(X_33),X_34))) = and(not(X),or(X_33,not(X_34))) ),
inference(resolve,[$cnf( $equal(not(and(not(X_33),X_34)),or(X_33,not(X_34))) )],[refute_0_5524,refute_0_5525]) ).
cnf(refute_0_5527,plain,
not(or(X,and(not(X_33),X_34))) = and(not(X),or(X_33,not(X_34))),
inference(resolve,[$cnf( $equal(not(or(X,and(not(X_33),X_34))),and(not(X),not(and(not(X_33),X_34)))) )],[refute_0_5523,refute_0_5526]) ).
cnf(refute_0_5528,plain,
( not(or(X,and(not(X_33),X_34))) != and(not(X),or(X_33,not(X_34)))
| and(not(X),or(X_33,not(X_34))) = not(or(X,and(not(X_33),X_34))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X,and(not(X_33),X_34))))),bind(Y0,$fot(and(not(X),or(X_33,not(X_34)))))]]) ).
cnf(refute_0_5529,plain,
and(not(X),or(X_33,not(X_34))) = not(or(X,and(not(X_33),X_34))),
inference(resolve,[$cnf( $equal(not(or(X,and(not(X_33),X_34))),and(not(X),or(X_33,not(X_34)))) )],[refute_0_5527,refute_0_5528]) ).
cnf(refute_0_5530,plain,
and(not(t4),or(t4,not(cin))) = not(or(t4,and(not(t4),cin))),
inference(subst,[],[refute_0_5529:[bind(X,$fot(t4)),bind(X_33,$fot(t4)),bind(X_34,$fot(cin))]]) ).
cnf(refute_0_5531,plain,
( and(not(t4),or(t4,not(cin))) != not(or(t4,and(not(t4),cin)))
| not(or(t4,and(not(t4),cin))) != not(or(t4,and(cin,not(t4))))
| and(not(t4),or(t4,not(cin))) = not(or(t4,and(cin,not(t4)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t4),or(t4,not(cin))))),bind(Y0,$fot(not(or(t4,and(not(t4),cin))))),bind(Z0,$fot(not(or(t4,and(cin,not(t4))))))]]) ).
cnf(refute_0_5532,plain,
( not(or(t4,and(not(t4),cin))) != not(or(t4,and(cin,not(t4))))
| and(not(t4),or(t4,not(cin))) = not(or(t4,and(cin,not(t4)))) ),
inference(resolve,[$cnf( $equal(and(not(t4),or(t4,not(cin))),not(or(t4,and(not(t4),cin)))) )],[refute_0_5530,refute_0_5531]) ).
cnf(refute_0_5533,plain,
and(not(t4),or(t4,not(cin))) = not(or(t4,and(cin,not(t4)))),
inference(resolve,[$cnf( $equal(not(or(t4,and(not(t4),cin))),not(or(t4,and(cin,not(t4))))) )],[refute_0_5522,refute_0_5532]) ).
cnf(refute_0_5534,plain,
( and(not(t4),or(t4,not(cin))) != and(t5,not(sum))
| and(not(t4),or(t4,not(cin))) != not(or(t4,and(cin,not(t4))))
| not(or(t4,and(cin,not(t4)))) = and(t5,not(sum)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),or(t4,not(cin))),and(t5,not(sum))) ),[0],$fot(not(or(t4,and(cin,not(t4)))))]]) ).
cnf(refute_0_5535,plain,
( and(not(t4),or(t4,not(cin))) != and(t5,not(sum))
| not(or(t4,and(cin,not(t4)))) = and(t5,not(sum)) ),
inference(resolve,[$cnf( $equal(and(not(t4),or(t4,not(cin))),not(or(t4,and(cin,not(t4))))) )],[refute_0_5533,refute_0_5534]) ).
cnf(refute_0_5536,plain,
( and(t5,not(sum)) != xor(cin,t6)
| not(or(t4,and(cin,not(t4)))) != and(t5,not(sum))
| not(or(t4,and(cin,not(t4)))) = xor(cin,t6) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t4,and(cin,not(t4)))),and(t5,not(sum))) ),[1],$fot(xor(cin,t6))]]) ).
cnf(refute_0_5537,plain,
( not(or(t4,and(cin,not(t4)))) != and(t5,not(sum))
| not(or(t4,and(cin,not(t4)))) = xor(cin,t6) ),
inference(resolve,[$cnf( $equal(and(t5,not(sum)),xor(cin,t6)) )],[refute_0_5344,refute_0_5536]) ).
cnf(refute_0_5538,plain,
( and(not(t4),or(t4,not(cin))) != and(t5,not(sum))
| not(or(t4,and(cin,not(t4)))) = xor(cin,t6) ),
inference(resolve,[$cnf( $equal(not(or(t4,and(cin,not(t4)))),and(t5,not(sum))) )],[refute_0_5535,refute_0_5537]) ).
cnf(refute_0_5539,plain,
not(or(t4,and(cin,not(t4)))) = xor(cin,t6),
inference(resolve,[$cnf( $equal(and(not(t4),or(t4,not(cin))),and(t5,not(sum))) )],[refute_0_5511,refute_0_5538]) ).
cnf(refute_0_5540,plain,
( not(not(or(t4,and(cin,not(t4))))) != or(t4,and(cin,not(t4)))
| not(or(t4,and(cin,not(t4)))) != xor(cin,t6)
| not(xor(cin,t6)) = or(t4,and(cin,not(t4))) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(or(t4,and(cin,not(t4))))),or(t4,and(cin,not(t4)))) ),[0,0],$fot(xor(cin,t6))]]) ).
cnf(refute_0_5541,plain,
( not(not(or(t4,and(cin,not(t4))))) != or(t4,and(cin,not(t4)))
| not(xor(cin,t6)) = or(t4,and(cin,not(t4))) ),
inference(resolve,[$cnf( $equal(not(or(t4,and(cin,not(t4)))),xor(cin,t6)) )],[refute_0_5539,refute_0_5540]) ).
cnf(refute_0_5542,plain,
not(xor(cin,t6)) = or(t4,and(cin,not(t4))),
inference(resolve,[$cnf( $equal(not(not(or(t4,and(cin,not(t4))))),or(t4,and(cin,not(t4)))) )],[refute_0_5446,refute_0_5541]) ).
cnf(refute_0_5543,plain,
( not(xor(cin,t6)) != or(cin,sum)
| not(xor(cin,t6)) != or(t4,and(cin,not(t4)))
| or(cin,sum) = or(t4,and(cin,not(t4))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(cin,t6)),or(t4,and(cin,not(t4)))) ),[0],$fot(or(cin,sum))]]) ).
cnf(refute_0_5544,plain,
( not(xor(cin,t6)) != or(t4,and(cin,not(t4)))
| or(cin,sum) = or(t4,and(cin,not(t4))) ),
inference(resolve,[$cnf( $equal(not(xor(cin,t6)),or(cin,sum)) )],[refute_0_2510,refute_0_5543]) ).
cnf(refute_0_5545,plain,
or(cin,sum) = or(t4,and(cin,not(t4))),
inference(resolve,[$cnf( $equal(not(xor(cin,t6)),or(t4,and(cin,not(t4)))) )],[refute_0_5542,refute_0_5544]) ).
cnf(refute_0_5546,plain,
( or(cin,sum) != or(t4,and(cin,not(t4)))
| or(t4,and(cin,not(t4))) = or(cin,sum) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(cin,sum))),bind(Y0,$fot(or(t4,and(cin,not(t4)))))]]) ).
cnf(refute_0_5547,plain,
or(t4,and(cin,not(t4))) = or(cin,sum),
inference(resolve,[$cnf( $equal(or(cin,sum),or(t4,and(cin,not(t4)))) )],[refute_0_5545,refute_0_5546]) ).
cnf(refute_0_5548,plain,
( and(and(cin,not(t4)),or(t4,and(cin,not(t4)))) != and(cin,not(t4))
| or(t4,and(cin,not(t4))) != or(cin,sum)
| and(and(cin,not(t4)),or(cin,sum)) = and(cin,not(t4)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(cin,not(t4)),or(t4,and(cin,not(t4)))),and(cin,not(t4))) ),[0,1],$fot(or(cin,sum))]]) ).
cnf(refute_0_5549,plain,
( and(and(cin,not(t4)),or(t4,and(cin,not(t4)))) != and(cin,not(t4))
| and(and(cin,not(t4)),or(cin,sum)) = and(cin,not(t4)) ),
inference(resolve,[$cnf( $equal(or(t4,and(cin,not(t4))),or(cin,sum)) )],[refute_0_5547,refute_0_5548]) ).
cnf(refute_0_5550,plain,
and(and(cin,not(t4)),or(cin,sum)) = and(cin,not(t4)),
inference(resolve,[$cnf( $equal(and(and(cin,not(t4)),or(t4,and(cin,not(t4)))),and(cin,not(t4))) )],[refute_0_5445,refute_0_5549]) ).
cnf(refute_0_5551,plain,
and(cin,and(not(t4),or(cin,sum))) = and(cin,and(not(t4),or(cin,sum))),
introduced(tautology,[refl,[$fot(and(cin,and(not(t4),or(cin,sum))))]]) ).
cnf(refute_0_5552,plain,
( and(cin,and(not(t4),or(cin,sum))) != and(cin,and(not(t4),or(cin,sum)))
| and(not(t4),or(cin,sum)) != not(t7)
| and(cin,and(not(t4),or(cin,sum))) = and(cin,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,and(not(t4),or(cin,sum))),and(cin,and(not(t4),or(cin,sum)))) ),[1,1],$fot(not(t7))]]) ).
cnf(refute_0_5553,plain,
( and(not(t4),or(cin,sum)) != not(t7)
| and(cin,and(not(t4),or(cin,sum))) = and(cin,not(t7)) ),
inference(resolve,[$cnf( $equal(and(cin,and(not(t4),or(cin,sum))),and(cin,and(not(t4),or(cin,sum)))) )],[refute_0_5551,refute_0_5552]) ).
cnf(refute_0_5554,plain,
and(cin,and(not(t4),or(cin,sum))) = and(cin,not(t7)),
inference(resolve,[$cnf( $equal(and(not(t4),or(cin,sum)),not(t7)) )],[refute_0_2596,refute_0_5553]) ).
cnf(refute_0_5555,plain,
( and(cin,and(not(t4),or(cin,sum))) != and(cin,not(t7))
| and(cin,not(t7)) != not(t7)
| and(cin,and(not(t4),or(cin,sum))) = not(t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(cin,and(not(t4),or(cin,sum))))),bind(Y0,$fot(and(cin,not(t7)))),bind(Z0,$fot(not(t7)))]]) ).
cnf(refute_0_5556,plain,
( and(cin,not(t7)) != not(t7)
| and(cin,and(not(t4),or(cin,sum))) = not(t7) ),
inference(resolve,[$cnf( $equal(and(cin,and(not(t4),or(cin,sum))),and(cin,not(t7))) )],[refute_0_5554,refute_0_5555]) ).
cnf(refute_0_5557,plain,
and(cin,and(not(t4),or(cin,sum))) = not(t7),
inference(resolve,[$cnf( $equal(and(cin,not(t7)),not(t7)) )],[refute_0_1101,refute_0_5556]) ).
cnf(refute_0_5558,plain,
and(and(cin,not(t4)),or(cin,sum)) = and(cin,and(not(t4),or(cin,sum))),
inference(subst,[],[and_associative:[bind(X,$fot(cin)),bind(Y,$fot(not(t4))),bind(Z,$fot(or(cin,sum)))]]) ).
cnf(refute_0_5559,plain,
( and(and(cin,not(t4)),or(cin,sum)) != and(cin,and(not(t4),or(cin,sum)))
| and(cin,and(not(t4),or(cin,sum))) != not(t7)
| and(and(cin,not(t4)),or(cin,sum)) = not(t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(cin,not(t4)),or(cin,sum)))),bind(Y0,$fot(and(cin,and(not(t4),or(cin,sum))))),bind(Z0,$fot(not(t7)))]]) ).
cnf(refute_0_5560,plain,
( and(cin,and(not(t4),or(cin,sum))) != not(t7)
| and(and(cin,not(t4)),or(cin,sum)) = not(t7) ),
inference(resolve,[$cnf( $equal(and(and(cin,not(t4)),or(cin,sum)),and(cin,and(not(t4),or(cin,sum)))) )],[refute_0_5558,refute_0_5559]) ).
cnf(refute_0_5561,plain,
and(and(cin,not(t4)),or(cin,sum)) = not(t7),
inference(resolve,[$cnf( $equal(and(cin,and(not(t4),or(cin,sum))),not(t7)) )],[refute_0_5557,refute_0_5560]) ).
cnf(refute_0_5562,plain,
( and(and(cin,not(t4)),or(cin,sum)) != and(cin,not(t4))
| and(and(cin,not(t4)),or(cin,sum)) != not(t7)
| not(t7) = and(cin,not(t4)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(cin,not(t4)),or(cin,sum)),and(cin,not(t4))) ),[0],$fot(not(t7))]]) ).
cnf(refute_0_5563,plain,
( and(and(cin,not(t4)),or(cin,sum)) != and(cin,not(t4))
| not(t7) = and(cin,not(t4)) ),
inference(resolve,[$cnf( $equal(and(and(cin,not(t4)),or(cin,sum)),not(t7)) )],[refute_0_5561,refute_0_5562]) ).
cnf(refute_0_5564,plain,
not(t7) = and(cin,not(t4)),
inference(resolve,[$cnf( $equal(and(and(cin,not(t4)),or(cin,sum)),and(cin,not(t4))) )],[refute_0_5550,refute_0_5563]) ).
cnf(refute_0_5565,plain,
( not(t7) != and(cin,not(t4))
| and(cin,not(t4)) = not(t7) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t7))),bind(Y0,$fot(and(cin,not(t4))))]]) ).
cnf(refute_0_5566,plain,
and(cin,not(t4)) = not(t7),
inference(resolve,[$cnf( $equal(not(t7),and(cin,not(t4))) )],[refute_0_5564,refute_0_5565]) ).
cnf(refute_0_5567,plain,
( and(cin,not(t4)) != not(t7)
| or(t3,and(cin,not(t4))) != t3
| or(t3,not(t7)) = t3 ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,and(cin,not(t4))),t3) ),[0,1],$fot(not(t7))]]) ).
cnf(refute_0_5568,plain,
( or(t3,and(cin,not(t4))) != t3
| or(t3,not(t7)) = t3 ),
inference(resolve,[$cnf( $equal(and(cin,not(t4)),not(t7)) )],[refute_0_5566,refute_0_5567]) ).
cnf(refute_0_5569,plain,
or(t3,not(t7)) = t3,
inference(resolve,[$cnf( $equal(or(t3,and(cin,not(t4))),t3) )],[refute_0_5444,refute_0_5568]) ).
cnf(refute_0_5570,plain,
( not(or(not(t7),t3)) != not(or(t3,not(t7)))
| or(t3,not(t7)) != t3
| not(or(not(t7),t3)) = not(t3) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(t7),t3)),not(or(t3,not(t7)))) ),[1,0],$fot(t3)]]) ).
cnf(refute_0_5571,plain,
( not(or(not(t7),t3)) != not(or(t3,not(t7)))
| not(or(not(t7),t3)) = not(t3) ),
inference(resolve,[$cnf( $equal(or(t3,not(t7)),t3) )],[refute_0_5569,refute_0_5570]) ).
cnf(refute_0_5572,plain,
not(or(not(t7),t3)) = not(t3),
inference(resolve,[$cnf( $equal(not(or(not(t7),t3)),not(or(t3,not(t7)))) )],[refute_0_5436,refute_0_5571]) ).
cnf(refute_0_5573,plain,
and(not(t3),t7) = and(t7,not(t3)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t7)),bind(Y,$fot(not(t3)))]]) ).
cnf(refute_0_5574,plain,
not(or(t3,not(t7))) = and(not(t3),t7),
inference(subst,[],[refute_0_801:[bind(X,$fot(t7)),bind(X_25,$fot(t3))]]) ).
cnf(refute_0_5575,plain,
( and(not(t3),t7) != and(t7,not(t3))
| not(or(t3,not(t7))) != and(not(t3),t7)
| not(or(t3,not(t7))) = and(t7,not(t3)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(t3,not(t7))))),bind(Y0,$fot(and(not(t3),t7))),bind(Z0,$fot(and(t7,not(t3))))]]) ).
cnf(refute_0_5576,plain,
( and(not(t3),t7) != and(t7,not(t3))
| not(or(t3,not(t7))) = and(t7,not(t3)) ),
inference(resolve,[$cnf( $equal(not(or(t3,not(t7))),and(not(t3),t7)) )],[refute_0_5574,refute_0_5575]) ).
cnf(refute_0_5577,plain,
not(or(t3,not(t7))) = and(t7,not(t3)),
inference(resolve,[$cnf( $equal(and(not(t3),t7),and(t7,not(t3))) )],[refute_0_5573,refute_0_5576]) ).
cnf(refute_0_5578,plain,
( not(or(not(t7),t3)) != not(or(t3,not(t7)))
| not(or(t3,not(t7))) != and(t7,not(t3))
| not(or(not(t7),t3)) = and(t7,not(t3)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(not(t7),t3)))),bind(Y0,$fot(not(or(t3,not(t7))))),bind(Z0,$fot(and(t7,not(t3))))]]) ).
cnf(refute_0_5579,plain,
( not(or(t3,not(t7))) != and(t7,not(t3))
| not(or(not(t7),t3)) = and(t7,not(t3)) ),
inference(resolve,[$cnf( $equal(not(or(not(t7),t3)),not(or(t3,not(t7)))) )],[refute_0_5436,refute_0_5578]) ).
cnf(refute_0_5580,plain,
not(or(not(t7),t3)) = and(t7,not(t3)),
inference(resolve,[$cnf( $equal(not(or(t3,not(t7))),and(t7,not(t3))) )],[refute_0_5577,refute_0_5579]) ).
cnf(refute_0_5581,plain,
( not(or(not(t7),t3)) != and(t7,not(t3))
| not(or(not(t7),t3)) != not(t3)
| and(t7,not(t3)) = not(t3) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(t7),t3)),not(t3)) ),[0],$fot(and(t7,not(t3)))]]) ).
cnf(refute_0_5582,plain,
( not(or(not(t7),t3)) != not(t3)
| and(t7,not(t3)) = not(t3) ),
inference(resolve,[$cnf( $equal(not(or(not(t7),t3)),and(t7,not(t3))) )],[refute_0_5580,refute_0_5581]) ).
cnf(refute_0_5583,plain,
and(t7,not(t3)) = not(t3),
inference(resolve,[$cnf( $equal(not(or(not(t7),t3)),not(t3)) )],[refute_0_5572,refute_0_5582]) ).
cnf(refute_0_5584,plain,
( and(t7,not(t3)) != not(t3)
| or(and(t7,not(t3)),and(not(t7),t3)) != xor(t7,t3)
| or(not(t3),and(not(t7),t3)) = xor(t7,t3) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t7,not(t3)),and(not(t7),t3)),xor(t7,t3)) ),[0,0],$fot(not(t3))]]) ).
cnf(refute_0_5585,plain,
( or(and(t7,not(t3)),and(not(t7),t3)) != xor(t7,t3)
| or(not(t3),and(not(t7),t3)) = xor(t7,t3) ),
inference(resolve,[$cnf( $equal(and(t7,not(t3)),not(t3)) )],[refute_0_5583,refute_0_5584]) ).
cnf(refute_0_5586,plain,
or(not(t3),and(not(t7),t3)) = xor(t7,t3),
inference(resolve,[$cnf( $equal(or(and(t7,not(t3)),and(not(t7),t3)),xor(t7,t3)) )],[refute_0_5435,refute_0_5585]) ).
cnf(refute_0_5587,plain,
or(t7,and(t7,not(t3))) = t7,
inference(subst,[],[or_absorption:[bind(X,$fot(t7)),bind(Y,$fot(not(t3)))]]) ).
cnf(refute_0_5588,plain,
( and(t7,not(t3)) != not(t3)
| or(t7,and(t7,not(t3))) != t7
| or(t7,not(t3)) = t7 ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,and(t7,not(t3))),t7) ),[0,1],$fot(not(t3))]]) ).
cnf(refute_0_5589,plain,
( or(t7,and(t7,not(t3))) != t7
| or(t7,not(t3)) = t7 ),
inference(resolve,[$cnf( $equal(and(t7,not(t3)),not(t3)) )],[refute_0_5583,refute_0_5588]) ).
cnf(refute_0_5590,plain,
or(t7,not(t3)) = t7,
inference(resolve,[$cnf( $equal(or(t7,and(t7,not(t3))),t7) )],[refute_0_5587,refute_0_5589]) ).
cnf(refute_0_5591,plain,
and(t3,or(t7,not(t3))) = and(t3,or(t7,not(t3))),
introduced(tautology,[refl,[$fot(and(t3,or(t7,not(t3))))]]) ).
cnf(refute_0_5592,plain,
( and(t3,or(t7,not(t3))) != and(t3,or(t7,not(t3)))
| or(t7,not(t3)) != t7
| and(t3,or(t7,not(t3))) = and(t3,t7) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,or(t7,not(t3))),and(t3,or(t7,not(t3)))) ),[1,1],$fot(t7)]]) ).
cnf(refute_0_5593,plain,
( or(t7,not(t3)) != t7
| and(t3,or(t7,not(t3))) = and(t3,t7) ),
inference(resolve,[$cnf( $equal(and(t3,or(t7,not(t3))),and(t3,or(t7,not(t3)))) )],[refute_0_5591,refute_0_5592]) ).
cnf(refute_0_5594,plain,
and(t3,or(t7,not(t3))) = and(t3,t7),
inference(resolve,[$cnf( $equal(or(t7,not(t3)),t7) )],[refute_0_5590,refute_0_5593]) ).
cnf(refute_0_5595,plain,
not(and(t3,or(t7,not(t3)))) = not(and(t3,or(t7,not(t3)))),
introduced(tautology,[refl,[$fot(not(and(t3,or(t7,not(t3)))))]]) ).
cnf(refute_0_5596,plain,
( and(t3,or(t7,not(t3))) != and(t3,t7)
| not(and(t3,or(t7,not(t3)))) != not(and(t3,or(t7,not(t3))))
| not(and(t3,or(t7,not(t3)))) = not(and(t3,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(t3,or(t7,not(t3)))),not(and(t3,or(t7,not(t3))))) ),[1,0],$fot(and(t3,t7))]]) ).
cnf(refute_0_5597,plain,
( and(t3,or(t7,not(t3))) != and(t3,t7)
| not(and(t3,or(t7,not(t3)))) = not(and(t3,t7)) ),
inference(resolve,[$cnf( $equal(not(and(t3,or(t7,not(t3)))),not(and(t3,or(t7,not(t3))))) )],[refute_0_5595,refute_0_5596]) ).
cnf(refute_0_5598,plain,
not(and(t3,or(t7,not(t3)))) = not(and(t3,t7)),
inference(resolve,[$cnf( $equal(and(t3,or(t7,not(t3))),and(t3,t7)) )],[refute_0_5594,refute_0_5597]) ).
cnf(refute_0_5599,plain,
or(not(t3),and(not(t7),t3)) = not(and(t3,or(t7,not(t3)))),
inference(subst,[],[refute_0_1337:[bind(X,$fot(t3)),bind(X_78,$fot(t3)),bind(X_79,$fot(t7))]]) ).
cnf(refute_0_5600,plain,
( not(and(t3,or(t7,not(t3)))) != not(and(t3,t7))
| or(not(t3),and(not(t7),t3)) != not(and(t3,or(t7,not(t3))))
| or(not(t3),and(not(t7),t3)) = not(and(t3,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t3),and(not(t7),t3)))),bind(Y0,$fot(not(and(t3,or(t7,not(t3)))))),bind(Z0,$fot(not(and(t3,t7))))]]) ).
cnf(refute_0_5601,plain,
( not(and(t3,or(t7,not(t3)))) != not(and(t3,t7))
| or(not(t3),and(not(t7),t3)) = not(and(t3,t7)) ),
inference(resolve,[$cnf( $equal(or(not(t3),and(not(t7),t3)),not(and(t3,or(t7,not(t3))))) )],[refute_0_5599,refute_0_5600]) ).
cnf(refute_0_5602,plain,
or(not(t3),and(not(t7),t3)) = not(and(t3,t7)),
inference(resolve,[$cnf( $equal(not(and(t3,or(t7,not(t3)))),not(and(t3,t7))) )],[refute_0_5598,refute_0_5601]) ).
cnf(refute_0_5603,plain,
( or(not(t3),and(not(t7),t3)) != not(and(t3,t7))
| or(not(t3),and(not(t7),t3)) != xor(t7,t3)
| not(and(t3,t7)) = xor(t7,t3) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t3),and(not(t7),t3)),xor(t7,t3)) ),[0],$fot(not(and(t3,t7)))]]) ).
cnf(refute_0_5604,plain,
( or(not(t3),and(not(t7),t3)) != xor(t7,t3)
| not(and(t3,t7)) = xor(t7,t3) ),
inference(resolve,[$cnf( $equal(or(not(t3),and(not(t7),t3)),not(and(t3,t7))) )],[refute_0_5602,refute_0_5603]) ).
cnf(refute_0_5605,plain,
xor(t7,t3) = xor(t3,t7),
inference(subst,[],[refute_0_1863:[bind(X_333,$fot(t7))]]) ).
cnf(refute_0_5606,plain,
( not(and(t3,t7)) != xor(t7,t3)
| xor(t7,t3) != xor(t3,t7)
| not(and(t3,t7)) = xor(t3,t7) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(t3,t7)),xor(t3,t7)) ),[0],$fot(xor(t7,t3))]]) ).
cnf(refute_0_5607,plain,
( not(and(t3,t7)) != xor(t7,t3)
| not(and(t3,t7)) = xor(t3,t7) ),
inference(resolve,[$cnf( $equal(xor(t7,t3),xor(t3,t7)) )],[refute_0_5605,refute_0_5606]) ).
cnf(refute_0_5608,plain,
( or(not(t3),and(not(t7),t3)) != xor(t7,t3)
| not(and(t3,t7)) = xor(t3,t7) ),
inference(resolve,[$cnf( $equal(not(and(t3,t7)),xor(t7,t3)) )],[refute_0_5604,refute_0_5607]) ).
cnf(refute_0_5609,plain,
not(and(t3,t7)) = xor(t3,t7),
inference(resolve,[$cnf( $equal(or(not(t3),and(not(t7),t3)),xor(t7,t3)) )],[refute_0_5586,refute_0_5608]) ).
cnf(refute_0_5610,plain,
( and(and(t3,t7),not(and(t3,t7))) != ll0
| not(and(t3,t7)) != xor(t3,t7)
| and(and(t3,t7),xor(t3,t7)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t3,t7),not(and(t3,t7))),ll0) ),[0,1],$fot(xor(t3,t7))]]) ).
cnf(refute_0_5611,plain,
( and(and(t3,t7),not(and(t3,t7))) != ll0
| and(and(t3,t7),xor(t3,t7)) = ll0 ),
inference(resolve,[$cnf( $equal(not(and(t3,t7)),xor(t3,t7)) )],[refute_0_5609,refute_0_5610]) ).
cnf(refute_0_5612,plain,
and(and(t3,t7),xor(t3,t7)) = ll0,
inference(resolve,[$cnf( $equal(and(and(t3,t7),not(and(t3,t7))),ll0) )],[refute_0_5434,refute_0_5611]) ).
cnf(refute_0_5613,plain,
and(and(t3,t7),xor(t3,t7)) = and(t3,and(t7,xor(t3,t7))),
inference(subst,[],[and_associative:[bind(X,$fot(t3)),bind(Y,$fot(t7)),bind(Z,$fot(xor(t3,t7)))]]) ).
cnf(refute_0_5614,plain,
( and(and(t3,t7),xor(t3,t7)) != and(t3,and(t7,xor(t3,t7)))
| and(and(t3,t7),xor(t3,t7)) != ll0
| and(t3,and(t7,xor(t3,t7))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t3,t7),xor(t3,t7)),ll0) ),[0],$fot(and(t3,and(t7,xor(t3,t7))))]]) ).
cnf(refute_0_5615,plain,
( and(and(t3,t7),xor(t3,t7)) != ll0
| and(t3,and(t7,xor(t3,t7))) = ll0 ),
inference(resolve,[$cnf( $equal(and(and(t3,t7),xor(t3,t7)),and(t3,and(t7,xor(t3,t7)))) )],[refute_0_5613,refute_0_5614]) ).
cnf(refute_0_5616,plain,
and(t3,and(t7,xor(t3,t7))) = ll0,
inference(resolve,[$cnf( $equal(and(and(t3,t7),xor(t3,t7)),ll0) )],[refute_0_5612,refute_0_5615]) ).
cnf(refute_0_5617,plain,
( and(not(t1),and(t7,xor(t3,t7))) != and(b,and(t3,and(t7,xor(t3,t7))))
| and(t3,and(t7,xor(t3,t7))) != ll0
| and(not(t1),and(t7,xor(t3,t7))) = and(b,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t1),and(t7,xor(t3,t7))),and(b,and(t3,and(t7,xor(t3,t7))))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_5618,plain,
( and(not(t1),and(t7,xor(t3,t7))) != and(b,and(t3,and(t7,xor(t3,t7))))
| and(not(t1),and(t7,xor(t3,t7))) = and(b,ll0) ),
inference(resolve,[$cnf( $equal(and(t3,and(t7,xor(t3,t7))),ll0) )],[refute_0_5616,refute_0_5617]) ).
cnf(refute_0_5619,plain,
and(not(t1),and(t7,xor(t3,t7))) = and(b,ll0),
inference(resolve,[$cnf( $equal(and(not(t1),and(t7,xor(t3,t7))),and(b,and(t3,and(t7,xor(t3,t7))))) )],[refute_0_5433,refute_0_5618]) ).
cnf(refute_0_5620,plain,
not(or(X,and(t3,t7))) = and(not(X),not(and(t3,t7))),
inference(subst,[],[or_demorgan:[bind(Y,$fot(and(t3,t7)))]]) ).
cnf(refute_0_5621,plain,
( not(and(t3,t7)) != xor(t3,t7)
| not(or(X,and(t3,t7))) != and(not(X),not(and(t3,t7)))
| not(or(X,and(t3,t7))) = and(not(X),xor(t3,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,and(t3,t7))),and(not(X),not(and(t3,t7)))) ),[1,1],$fot(xor(t3,t7))]]) ).
cnf(refute_0_5622,plain,
( not(or(X,and(t3,t7))) != and(not(X),not(and(t3,t7)))
| not(or(X,and(t3,t7))) = and(not(X),xor(t3,t7)) ),
inference(resolve,[$cnf( $equal(not(and(t3,t7)),xor(t3,t7)) )],[refute_0_5609,refute_0_5621]) ).
cnf(refute_0_5623,plain,
not(or(X,and(t3,t7))) = and(not(X),xor(t3,t7)),
inference(resolve,[$cnf( $equal(not(or(X,and(t3,t7))),and(not(X),not(and(t3,t7)))) )],[refute_0_5620,refute_0_5622]) ).
cnf(refute_0_5624,plain,
( not(or(X,and(t3,t7))) != and(not(X),xor(t3,t7))
| and(not(X),xor(t3,t7)) = not(or(X,and(t3,t7))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X,and(t3,t7))))),bind(Y0,$fot(and(not(X),xor(t3,t7))))]]) ).
cnf(refute_0_5625,plain,
and(not(X),xor(t3,t7)) = not(or(X,and(t3,t7))),
inference(resolve,[$cnf( $equal(not(or(X,and(t3,t7))),and(not(X),xor(t3,t7))) )],[refute_0_5623,refute_0_5624]) ).
cnf(refute_0_5626,plain,
and(not(t1),xor(t3,t7)) = not(or(t1,and(t3,t7))),
inference(subst,[],[refute_0_5625:[bind(X,$fot(t1))]]) ).
cnf(refute_0_5627,plain,
and(t7,and(not(t1),xor(t3,t7))) = and(t7,and(not(t1),xor(t3,t7))),
introduced(tautology,[refl,[$fot(and(t7,and(not(t1),xor(t3,t7))))]]) ).
cnf(refute_0_5628,plain,
( and(not(t1),xor(t3,t7)) != not(or(t1,and(t3,t7)))
| and(t7,and(not(t1),xor(t3,t7))) != and(t7,and(not(t1),xor(t3,t7)))
| and(t7,and(not(t1),xor(t3,t7))) = and(t7,not(or(t1,and(t3,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t7,and(not(t1),xor(t3,t7))),and(t7,and(not(t1),xor(t3,t7)))) ),[1,1],$fot(not(or(t1,and(t3,t7))))]]) ).
cnf(refute_0_5629,plain,
( and(not(t1),xor(t3,t7)) != not(or(t1,and(t3,t7)))
| and(t7,and(not(t1),xor(t3,t7))) = and(t7,not(or(t1,and(t3,t7)))) ),
inference(resolve,[$cnf( $equal(and(t7,and(not(t1),xor(t3,t7))),and(t7,and(not(t1),xor(t3,t7)))) )],[refute_0_5627,refute_0_5628]) ).
cnf(refute_0_5630,plain,
and(t7,and(not(t1),xor(t3,t7))) = and(t7,not(or(t1,and(t3,t7)))),
inference(resolve,[$cnf( $equal(and(not(t1),xor(t3,t7)),not(or(t1,and(t3,t7)))) )],[refute_0_5626,refute_0_5629]) ).
cnf(refute_0_5631,plain,
and(not(t1),and(t7,xor(t3,t7))) = and(t7,and(not(t1),xor(t3,t7))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(t1))),bind(X_221,$fot(t7)),bind(X_222,$fot(xor(t3,t7)))]]) ).
cnf(refute_0_5632,plain,
( and(not(t1),and(t7,xor(t3,t7))) != and(t7,and(not(t1),xor(t3,t7)))
| and(t7,and(not(t1),xor(t3,t7))) != and(t7,not(or(t1,and(t3,t7))))
| and(not(t1),and(t7,xor(t3,t7))) = and(t7,not(or(t1,and(t3,t7)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t1),and(t7,xor(t3,t7))))),bind(Y0,$fot(and(t7,and(not(t1),xor(t3,t7))))),bind(Z0,$fot(and(t7,not(or(t1,and(t3,t7))))))]]) ).
cnf(refute_0_5633,plain,
( and(t7,and(not(t1),xor(t3,t7))) != and(t7,not(or(t1,and(t3,t7))))
| and(not(t1),and(t7,xor(t3,t7))) = and(t7,not(or(t1,and(t3,t7)))) ),
inference(resolve,[$cnf( $equal(and(not(t1),and(t7,xor(t3,t7))),and(t7,and(not(t1),xor(t3,t7)))) )],[refute_0_5631,refute_0_5632]) ).
cnf(refute_0_5634,plain,
and(not(t1),and(t7,xor(t3,t7))) = and(t7,not(or(t1,and(t3,t7)))),
inference(resolve,[$cnf( $equal(and(t7,and(not(t1),xor(t3,t7))),and(t7,not(or(t1,and(t3,t7))))) )],[refute_0_5630,refute_0_5633]) ).
cnf(refute_0_5635,plain,
( and(not(t1),and(t7,xor(t3,t7))) != and(b,ll0)
| and(not(t1),and(t7,xor(t3,t7))) != and(t7,not(or(t1,and(t3,t7))))
| and(t7,not(or(t1,and(t3,t7)))) = and(b,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t1),and(t7,xor(t3,t7))),and(b,ll0)) ),[0],$fot(and(t7,not(or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_5636,plain,
( and(not(t1),and(t7,xor(t3,t7))) != and(b,ll0)
| and(t7,not(or(t1,and(t3,t7)))) = and(b,ll0) ),
inference(resolve,[$cnf( $equal(and(not(t1),and(t7,xor(t3,t7))),and(t7,not(or(t1,and(t3,t7))))) )],[refute_0_5634,refute_0_5635]) ).
cnf(refute_0_5637,plain,
and(b,ll0) = ll0,
inference(subst,[],[and_boundedness:[bind(X,$fot(b))]]) ).
cnf(refute_0_5638,plain,
( and(b,ll0) != ll0
| and(t7,not(or(t1,and(t3,t7)))) != and(b,ll0)
| and(t7,not(or(t1,and(t3,t7)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(t7,not(or(t1,and(t3,t7)))),and(b,ll0)) ),[1],$fot(ll0)]]) ).
cnf(refute_0_5639,plain,
( and(t7,not(or(t1,and(t3,t7)))) != and(b,ll0)
| and(t7,not(or(t1,and(t3,t7)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(b,ll0),ll0) )],[refute_0_5637,refute_0_5638]) ).
cnf(refute_0_5640,plain,
( and(not(t1),and(t7,xor(t3,t7))) != and(b,ll0)
| and(t7,not(or(t1,and(t3,t7)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(t7,not(or(t1,and(t3,t7)))),and(b,ll0)) )],[refute_0_5636,refute_0_5639]) ).
cnf(refute_0_5641,plain,
and(t7,not(or(t1,and(t3,t7)))) = ll0,
inference(resolve,[$cnf( $equal(and(not(t1),and(t7,xor(t3,t7))),and(b,ll0)) )],[refute_0_5619,refute_0_5640]) ).
cnf(refute_0_5642,plain,
( and(t7,not(or(t1,and(t3,t7)))) != ll0
| or(and(t7,not(or(t1,and(t3,t7)))),and(not(t7),or(t1,and(t3,t7)))) != xor(t7,or(t1,and(t3,t7)))
| or(ll0,and(not(t7),or(t1,and(t3,t7)))) = xor(t7,or(t1,and(t3,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t7,not(or(t1,and(t3,t7)))),and(not(t7),or(t1,and(t3,t7)))),xor(t7,or(t1,and(t3,t7)))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_5643,plain,
( or(and(t7,not(or(t1,and(t3,t7)))),and(not(t7),or(t1,and(t3,t7)))) != xor(t7,or(t1,and(t3,t7)))
| or(ll0,and(not(t7),or(t1,and(t3,t7)))) = xor(t7,or(t1,and(t3,t7))) ),
inference(resolve,[$cnf( $equal(and(t7,not(or(t1,and(t3,t7)))),ll0) )],[refute_0_5641,refute_0_5642]) ).
cnf(refute_0_5644,plain,
or(ll0,and(not(t7),or(t1,and(t3,t7)))) = xor(t7,or(t1,and(t3,t7))),
inference(resolve,[$cnf( $equal(or(and(t7,not(or(t1,and(t3,t7)))),and(not(t7),or(t1,and(t3,t7)))),xor(t7,or(t1,and(t3,t7)))) )],[refute_0_5428,refute_0_5643]) ).
cnf(refute_0_5645,plain,
or(ll0,and(not(t7),or(t1,and(t3,t7)))) = and(not(t7),or(t1,and(t3,t7))),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(t7),or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_5646,plain,
( or(ll0,and(not(t7),or(t1,and(t3,t7)))) != and(not(t7),or(t1,and(t3,t7)))
| or(ll0,and(not(t7),or(t1,and(t3,t7)))) != xor(t7,or(t1,and(t3,t7)))
| and(not(t7),or(t1,and(t3,t7))) = xor(t7,or(t1,and(t3,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(t7),or(t1,and(t3,t7)))),xor(t7,or(t1,and(t3,t7)))) ),[0],$fot(and(not(t7),or(t1,and(t3,t7))))]]) ).
cnf(refute_0_5647,plain,
( or(ll0,and(not(t7),or(t1,and(t3,t7)))) != xor(t7,or(t1,and(t3,t7)))
| and(not(t7),or(t1,and(t3,t7))) = xor(t7,or(t1,and(t3,t7))) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t7),or(t1,and(t3,t7)))),and(not(t7),or(t1,and(t3,t7)))) )],[refute_0_5645,refute_0_5646]) ).
cnf(refute_0_5648,plain,
and(not(t7),or(t1,and(t3,t7))) = xor(t7,or(t1,and(t3,t7))),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t7),or(t1,and(t3,t7)))),xor(t7,or(t1,and(t3,t7)))) )],[refute_0_5644,refute_0_5647]) ).
cnf(refute_0_5649,plain,
( and(not(t7),or(t1,and(t3,t7))) != xor(t7,or(t1,and(t3,t7)))
| ll0 != and(t7,and(not(t7),or(t1,and(t3,t7))))
| ll0 = and(t7,xor(t7,or(t1,and(t3,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(t7,and(not(t7),or(t1,and(t3,t7))))) ),[1,1],$fot(xor(t7,or(t1,and(t3,t7))))]]) ).
cnf(refute_0_5650,plain,
( ll0 != and(t7,and(not(t7),or(t1,and(t3,t7))))
| ll0 = and(t7,xor(t7,or(t1,and(t3,t7)))) ),
inference(resolve,[$cnf( $equal(and(not(t7),or(t1,and(t3,t7))),xor(t7,or(t1,and(t3,t7)))) )],[refute_0_5648,refute_0_5649]) ).
cnf(refute_0_5651,plain,
ll0 = and(t7,xor(t7,or(t1,and(t3,t7)))),
inference(resolve,[$cnf( $equal(ll0,and(t7,and(not(t7),or(t1,and(t3,t7))))) )],[refute_0_5427,refute_0_5650]) ).
cnf(refute_0_5652,plain,
( ll0 != and(t7,xor(t7,or(t1,and(t3,t7))))
| and(t7,xor(t7,or(t1,and(t3,t7)))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(t7,xor(t7,or(t1,and(t3,t7))))))]]) ).
cnf(refute_0_5653,plain,
and(t7,xor(t7,or(t1,and(t3,t7)))) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(t7,xor(t7,or(t1,and(t3,t7))))) )],[refute_0_5651,refute_0_5652]) ).
cnf(refute_0_5654,plain,
( and(not(sum),xor(t7,or(t1,and(t3,t7)))) != and(t6,and(t7,xor(t7,or(t1,and(t3,t7)))))
| and(t7,xor(t7,or(t1,and(t3,t7)))) != ll0
| and(not(sum),xor(t7,or(t1,and(t3,t7)))) = and(t6,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(sum),xor(t7,or(t1,and(t3,t7)))),and(t6,and(t7,xor(t7,or(t1,and(t3,t7)))))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_5655,plain,
( and(not(sum),xor(t7,or(t1,and(t3,t7)))) != and(t6,and(t7,xor(t7,or(t1,and(t3,t7)))))
| and(not(sum),xor(t7,or(t1,and(t3,t7)))) = and(t6,ll0) ),
inference(resolve,[$cnf( $equal(and(t7,xor(t7,or(t1,and(t3,t7)))),ll0) )],[refute_0_5653,refute_0_5654]) ).
cnf(refute_0_5656,plain,
and(not(sum),xor(t7,or(t1,and(t3,t7)))) = and(t6,ll0),
inference(resolve,[$cnf( $equal(and(not(sum),xor(t7,or(t1,and(t3,t7)))),and(t6,and(t7,xor(t7,or(t1,and(t3,t7)))))) )],[refute_0_5418,refute_0_5655]) ).
cnf(refute_0_5657,plain,
and(t6,ll0) = ll0,
inference(subst,[],[and_boundedness:[bind(X,$fot(t6))]]) ).
cnf(refute_0_5658,plain,
( and(not(sum),xor(t7,or(t1,and(t3,t7)))) != and(t6,ll0)
| and(t6,ll0) != ll0
| and(not(sum),xor(t7,or(t1,and(t3,t7)))) = ll0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(sum),xor(t7,or(t1,and(t3,t7)))),ll0) ),[0],$fot(and(t6,ll0))]]) ).
cnf(refute_0_5659,plain,
( and(not(sum),xor(t7,or(t1,and(t3,t7)))) != and(t6,ll0)
| and(not(sum),xor(t7,or(t1,and(t3,t7)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(t6,ll0),ll0) )],[refute_0_5657,refute_0_5658]) ).
cnf(refute_0_5660,plain,
and(not(sum),xor(t7,or(t1,and(t3,t7)))) = ll0,
inference(resolve,[$cnf( $equal(and(not(sum),xor(t7,or(t1,and(t3,t7)))),and(t6,ll0)) )],[refute_0_5656,refute_0_5659]) ).
cnf(refute_0_5661,plain,
( and(not(sum),xor(t7,or(t1,and(t3,t7)))) != ll0
| or(and(sum,not(xor(t7,or(t1,and(t3,t7))))),and(not(sum),xor(t7,or(t1,and(t3,t7))))) != xor(sum,xor(t7,or(t1,and(t3,t7))))
| or(and(sum,not(xor(t7,or(t1,and(t3,t7))))),ll0) = xor(sum,xor(t7,or(t1,and(t3,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(sum,not(xor(t7,or(t1,and(t3,t7))))),and(not(sum),xor(t7,or(t1,and(t3,t7))))),xor(sum,xor(t7,or(t1,and(t3,t7))))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_5662,plain,
( or(and(sum,not(xor(t7,or(t1,and(t3,t7))))),and(not(sum),xor(t7,or(t1,and(t3,t7))))) != xor(sum,xor(t7,or(t1,and(t3,t7))))
| or(and(sum,not(xor(t7,or(t1,and(t3,t7))))),ll0) = xor(sum,xor(t7,or(t1,and(t3,t7)))) ),
inference(resolve,[$cnf( $equal(and(not(sum),xor(t7,or(t1,and(t3,t7)))),ll0) )],[refute_0_5660,refute_0_5661]) ).
cnf(refute_0_5663,plain,
or(and(sum,not(xor(t7,or(t1,and(t3,t7))))),ll0) = xor(sum,xor(t7,or(t1,and(t3,t7)))),
inference(resolve,[$cnf( $equal(or(and(sum,not(xor(t7,or(t1,and(t3,t7))))),and(not(sum),xor(t7,or(t1,and(t3,t7))))),xor(sum,xor(t7,or(t1,and(t3,t7))))) )],[refute_0_5413,refute_0_5662]) ).
cnf(refute_0_5664,plain,
or(and(sum,not(xor(t7,or(t1,and(t3,t7))))),ll0) = and(sum,not(xor(t7,or(t1,and(t3,t7))))),
inference(subst,[],[or_identity:[bind(X,$fot(and(sum,not(xor(t7,or(t1,and(t3,t7)))))))]]) ).
cnf(refute_0_5665,plain,
( or(and(sum,not(xor(t7,or(t1,and(t3,t7))))),ll0) != and(sum,not(xor(t7,or(t1,and(t3,t7)))))
| or(and(sum,not(xor(t7,or(t1,and(t3,t7))))),ll0) != xor(sum,xor(t7,or(t1,and(t3,t7))))
| and(sum,not(xor(t7,or(t1,and(t3,t7))))) = xor(sum,xor(t7,or(t1,and(t3,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(sum,not(xor(t7,or(t1,and(t3,t7))))),ll0),xor(sum,xor(t7,or(t1,and(t3,t7))))) ),[0],$fot(and(sum,not(xor(t7,or(t1,and(t3,t7))))))]]) ).
cnf(refute_0_5666,plain,
( or(and(sum,not(xor(t7,or(t1,and(t3,t7))))),ll0) != xor(sum,xor(t7,or(t1,and(t3,t7))))
| and(sum,not(xor(t7,or(t1,and(t3,t7))))) = xor(sum,xor(t7,or(t1,and(t3,t7)))) ),
inference(resolve,[$cnf( $equal(or(and(sum,not(xor(t7,or(t1,and(t3,t7))))),ll0),and(sum,not(xor(t7,or(t1,and(t3,t7)))))) )],[refute_0_5664,refute_0_5665]) ).
cnf(refute_0_5667,plain,
xor(or(t1,and(t3,t7)),t6) = xor(t6,or(t1,and(t3,t7))),
inference(subst,[],[refute_0_1484:[bind(X_333,$fot(or(t1,and(t3,t7))))]]) ).
cnf(refute_0_5668,plain,
xor(X_333,xor(sum,xor(t7,and(sum,t7)))) = xor(xor(X_333,sum),xor(t7,and(sum,t7))),
inference(subst,[],[xor_associative:[bind(X,$fot(X_333)),bind(Y,$fot(sum)),bind(Z,$fot(xor(t7,and(sum,t7))))]]) ).
cnf(refute_0_5669,plain,
ll1 = xor(xor(sum,t7),not(xor(sum,t7))),
inference(subst,[],[refute_0_473:[bind(X_64,$fot(xor(sum,t7)))]]) ).
cnf(refute_0_5670,plain,
not(not(and(sum,t7))) = and(sum,t7),
inference(subst,[],[not_involution:[bind(X,$fot(and(sum,t7)))]]) ).
cnf(refute_0_5671,plain,
or(and(sum,not(t7)),and(not(sum),t7)) = xor(sum,t7),
inference(subst,[],[refute_0_9:[bind(X,$fot(sum)),bind(Y,$fot(t7))]]) ).
cnf(refute_0_5672,plain,
( and(sum,not(t7)) != not(t7)
| or(and(sum,not(t7)),and(not(sum),t7)) != xor(sum,t7)
| or(not(t7),and(not(sum),t7)) = xor(sum,t7) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(sum,not(t7)),and(not(sum),t7)),xor(sum,t7)) ),[0,0],$fot(not(t7))]]) ).
cnf(refute_0_5673,plain,
( or(and(sum,not(t7)),and(not(sum),t7)) != xor(sum,t7)
| or(not(t7),and(not(sum),t7)) = xor(sum,t7) ),
inference(resolve,[$cnf( $equal(and(sum,not(t7)),not(t7)) )],[refute_0_1049,refute_0_5672]) ).
cnf(refute_0_5674,plain,
or(not(t7),and(not(sum),t7)) = xor(sum,t7),
inference(resolve,[$cnf( $equal(or(and(sum,not(t7)),and(not(sum),t7)),xor(sum,t7)) )],[refute_0_5671,refute_0_5673]) ).
cnf(refute_0_5675,plain,
not(and(t7,sum)) = not(and(sum,t7)),
inference(subst,[],[refute_0_333:[bind(X_31,$fot(t7)),bind(X_32,$fot(sum))]]) ).
cnf(refute_0_5676,plain,
or(not(t7),not(sum)) = not(and(t7,sum)),
inference(subst,[],[refute_0_147:[bind(X,$fot(t7)),bind(Y,$fot(sum))]]) ).
cnf(refute_0_5677,plain,
( not(and(t7,sum)) != not(and(sum,t7))
| or(not(t7),not(sum)) != not(and(t7,sum))
| or(not(t7),not(sum)) = not(and(sum,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t7),not(sum)))),bind(Y0,$fot(not(and(t7,sum)))),bind(Z0,$fot(not(and(sum,t7))))]]) ).
cnf(refute_0_5678,plain,
( not(and(t7,sum)) != not(and(sum,t7))
| or(not(t7),not(sum)) = not(and(sum,t7)) ),
inference(resolve,[$cnf( $equal(or(not(t7),not(sum)),not(and(t7,sum))) )],[refute_0_5676,refute_0_5677]) ).
cnf(refute_0_5679,plain,
or(not(t7),not(sum)) = not(and(sum,t7)),
inference(resolve,[$cnf( $equal(not(and(t7,sum)),not(and(sum,t7))) )],[refute_0_5675,refute_0_5678]) ).
cnf(refute_0_5680,plain,
and(not(sum),or(t7,not(sum))) = not(sum),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(not(sum))),bind(X_20,$fot(t7))]]) ).
cnf(refute_0_5681,plain,
( and(not(sum),or(t7,not(sum))) != not(sum)
| or(t7,not(sum)) != t7
| and(not(sum),t7) = not(sum) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(sum),or(t7,not(sum))),not(sum)) ),[0,1],$fot(t7)]]) ).
cnf(refute_0_5682,plain,
( and(not(sum),or(t7,not(sum))) != not(sum)
| and(not(sum),t7) = not(sum) ),
inference(resolve,[$cnf( $equal(or(t7,not(sum)),t7) )],[refute_0_1042,refute_0_5681]) ).
cnf(refute_0_5683,plain,
and(not(sum),t7) = not(sum),
inference(resolve,[$cnf( $equal(and(not(sum),or(t7,not(sum))),not(sum)) )],[refute_0_5680,refute_0_5682]) ).
cnf(refute_0_5684,plain,
or(not(t7),and(not(sum),t7)) = or(not(t7),and(not(sum),t7)),
introduced(tautology,[refl,[$fot(or(not(t7),and(not(sum),t7)))]]) ).
cnf(refute_0_5685,plain,
( and(not(sum),t7) != not(sum)
| or(not(t7),and(not(sum),t7)) != or(not(t7),and(not(sum),t7))
| or(not(t7),and(not(sum),t7)) = or(not(t7),not(sum)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t7),and(not(sum),t7)),or(not(t7),and(not(sum),t7))) ),[1,1],$fot(not(sum))]]) ).
cnf(refute_0_5686,plain,
( and(not(sum),t7) != not(sum)
| or(not(t7),and(not(sum),t7)) = or(not(t7),not(sum)) ),
inference(resolve,[$cnf( $equal(or(not(t7),and(not(sum),t7)),or(not(t7),and(not(sum),t7))) )],[refute_0_5684,refute_0_5685]) ).
cnf(refute_0_5687,plain,
or(not(t7),and(not(sum),t7)) = or(not(t7),not(sum)),
inference(resolve,[$cnf( $equal(and(not(sum),t7),not(sum)) )],[refute_0_5683,refute_0_5686]) ).
cnf(refute_0_5688,plain,
( or(not(t7),and(not(sum),t7)) != or(not(t7),not(sum))
| or(not(t7),not(sum)) != not(and(sum,t7))
| or(not(t7),and(not(sum),t7)) = not(and(sum,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t7),and(not(sum),t7)))),bind(Y0,$fot(or(not(t7),not(sum)))),bind(Z0,$fot(not(and(sum,t7))))]]) ).
cnf(refute_0_5689,plain,
( or(not(t7),not(sum)) != not(and(sum,t7))
| or(not(t7),and(not(sum),t7)) = not(and(sum,t7)) ),
inference(resolve,[$cnf( $equal(or(not(t7),and(not(sum),t7)),or(not(t7),not(sum))) )],[refute_0_5687,refute_0_5688]) ).
cnf(refute_0_5690,plain,
or(not(t7),and(not(sum),t7)) = not(and(sum,t7)),
inference(resolve,[$cnf( $equal(or(not(t7),not(sum)),not(and(sum,t7))) )],[refute_0_5679,refute_0_5689]) ).
cnf(refute_0_5691,plain,
( or(not(t7),and(not(sum),t7)) != not(and(sum,t7))
| or(not(t7),and(not(sum),t7)) != xor(sum,t7)
| not(and(sum,t7)) = xor(sum,t7) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t7),and(not(sum),t7)),xor(sum,t7)) ),[0],$fot(not(and(sum,t7)))]]) ).
cnf(refute_0_5692,plain,
( or(not(t7),and(not(sum),t7)) != xor(sum,t7)
| not(and(sum,t7)) = xor(sum,t7) ),
inference(resolve,[$cnf( $equal(or(not(t7),and(not(sum),t7)),not(and(sum,t7))) )],[refute_0_5690,refute_0_5691]) ).
cnf(refute_0_5693,plain,
not(and(sum,t7)) = xor(sum,t7),
inference(resolve,[$cnf( $equal(or(not(t7),and(not(sum),t7)),xor(sum,t7)) )],[refute_0_5674,refute_0_5692]) ).
cnf(refute_0_5694,plain,
( not(and(sum,t7)) != xor(sum,t7)
| not(not(and(sum,t7))) != and(sum,t7)
| not(xor(sum,t7)) = and(sum,t7) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(sum,t7))),and(sum,t7)) ),[0,0],$fot(xor(sum,t7))]]) ).
cnf(refute_0_5695,plain,
( not(not(and(sum,t7))) != and(sum,t7)
| not(xor(sum,t7)) = and(sum,t7) ),
inference(resolve,[$cnf( $equal(not(and(sum,t7)),xor(sum,t7)) )],[refute_0_5693,refute_0_5694]) ).
cnf(refute_0_5696,plain,
not(xor(sum,t7)) = and(sum,t7),
inference(resolve,[$cnf( $equal(not(not(and(sum,t7))),and(sum,t7)) )],[refute_0_5670,refute_0_5695]) ).
cnf(refute_0_5697,plain,
( ll1 != xor(xor(sum,t7),not(xor(sum,t7)))
| not(xor(sum,t7)) != and(sum,t7)
| ll1 = xor(xor(sum,t7),and(sum,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,xor(xor(sum,t7),not(xor(sum,t7)))) ),[1,1],$fot(and(sum,t7))]]) ).
cnf(refute_0_5698,plain,
( ll1 != xor(xor(sum,t7),not(xor(sum,t7)))
| ll1 = xor(xor(sum,t7),and(sum,t7)) ),
inference(resolve,[$cnf( $equal(not(xor(sum,t7)),and(sum,t7)) )],[refute_0_5696,refute_0_5697]) ).
cnf(refute_0_5699,plain,
ll1 = xor(xor(sum,t7),and(sum,t7)),
inference(resolve,[$cnf( $equal(ll1,xor(xor(sum,t7),not(xor(sum,t7)))) )],[refute_0_5669,refute_0_5698]) ).
cnf(refute_0_5700,plain,
xor(xor(sum,t7),and(sum,t7)) = xor(sum,xor(t7,and(sum,t7))),
inference(subst,[],[refute_0_526:[bind(X,$fot(sum)),bind(Y,$fot(t7)),bind(Z,$fot(and(sum,t7)))]]) ).
cnf(refute_0_5701,plain,
( ll1 != xor(xor(sum,t7),and(sum,t7))
| xor(xor(sum,t7),and(sum,t7)) != xor(sum,xor(t7,and(sum,t7)))
| ll1 = xor(sum,xor(t7,and(sum,t7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll1,xor(sum,xor(t7,and(sum,t7)))) ),[0],$fot(xor(xor(sum,t7),and(sum,t7)))]]) ).
cnf(refute_0_5702,plain,
( ll1 != xor(xor(sum,t7),and(sum,t7))
| ll1 = xor(sum,xor(t7,and(sum,t7))) ),
inference(resolve,[$cnf( $equal(xor(xor(sum,t7),and(sum,t7)),xor(sum,xor(t7,and(sum,t7)))) )],[refute_0_5700,refute_0_5701]) ).
cnf(refute_0_5703,plain,
ll1 = xor(sum,xor(t7,and(sum,t7))),
inference(resolve,[$cnf( $equal(ll1,xor(xor(sum,t7),and(sum,t7))) )],[refute_0_5699,refute_0_5702]) ).
cnf(refute_0_5704,plain,
( ll1 != xor(sum,xor(t7,and(sum,t7)))
| xor(sum,xor(t7,and(sum,t7))) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(xor(sum,xor(t7,and(sum,t7)))))]]) ).
cnf(refute_0_5705,plain,
xor(sum,xor(t7,and(sum,t7))) = ll1,
inference(resolve,[$cnf( $equal(ll1,xor(sum,xor(t7,and(sum,t7)))) )],[refute_0_5703,refute_0_5704]) ).
cnf(refute_0_5706,plain,
( xor(X_333,xor(sum,xor(t7,and(sum,t7)))) != xor(xor(X_333,sum),xor(t7,and(sum,t7)))
| xor(sum,xor(t7,and(sum,t7))) != ll1
| xor(X_333,ll1) = xor(xor(X_333,sum),xor(t7,and(sum,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,xor(sum,xor(t7,and(sum,t7)))),xor(xor(X_333,sum),xor(t7,and(sum,t7)))) ),[0,1],$fot(ll1)]]) ).
cnf(refute_0_5707,plain,
( xor(X_333,xor(sum,xor(t7,and(sum,t7)))) != xor(xor(X_333,sum),xor(t7,and(sum,t7)))
| xor(X_333,ll1) = xor(xor(X_333,sum),xor(t7,and(sum,t7))) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(t7,and(sum,t7))),ll1) )],[refute_0_5705,refute_0_5706]) ).
cnf(refute_0_5708,plain,
xor(X_333,ll1) = xor(xor(X_333,sum),xor(t7,and(sum,t7))),
inference(resolve,[$cnf( $equal(xor(X_333,xor(sum,xor(t7,and(sum,t7)))),xor(xor(X_333,sum),xor(t7,and(sum,t7)))) )],[refute_0_5668,refute_0_5707]) ).
cnf(refute_0_5709,plain,
( xor(X_333,ll1) != not(X_333)
| xor(X_333,ll1) != xor(xor(X_333,sum),xor(t7,and(sum,t7)))
| not(X_333) = xor(xor(X_333,sum),xor(t7,and(sum,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,ll1),xor(xor(X_333,sum),xor(t7,and(sum,t7)))) ),[0],$fot(not(X_333))]]) ).
cnf(refute_0_5710,plain,
( xor(X_333,ll1) != xor(xor(X_333,sum),xor(t7,and(sum,t7)))
| not(X_333) = xor(xor(X_333,sum),xor(t7,and(sum,t7))) ),
inference(resolve,[$cnf( $equal(xor(X_333,ll1),not(X_333)) )],[refute_0_3465,refute_0_5709]) ).
cnf(refute_0_5711,plain,
xor(and(sum,t7),xor(X_333,t7)) = xor(t7,xor(and(sum,t7),X_333)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(t7)),bind(X_333,$fot(and(sum,t7))),bind(X_334,$fot(X_333))]]) ).
cnf(refute_0_5712,plain,
xor(xor(and(sum,t7),X_333),t7) = xor(and(sum,t7),xor(X_333,t7)),
inference(subst,[],[refute_0_526:[bind(X,$fot(and(sum,t7))),bind(Y,$fot(X_333)),bind(Z,$fot(t7))]]) ).
cnf(refute_0_5713,plain,
( xor(and(sum,t7),xor(X_333,t7)) != xor(t7,xor(and(sum,t7),X_333))
| xor(xor(and(sum,t7),X_333),t7) != xor(and(sum,t7),xor(X_333,t7))
| xor(xor(and(sum,t7),X_333),t7) = xor(t7,xor(and(sum,t7),X_333)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(and(sum,t7),X_333),t7))),bind(Y0,$fot(xor(and(sum,t7),xor(X_333,t7)))),bind(Z0,$fot(xor(t7,xor(and(sum,t7),X_333))))]]) ).
cnf(refute_0_5714,plain,
( xor(and(sum,t7),xor(X_333,t7)) != xor(t7,xor(and(sum,t7),X_333))
| xor(xor(and(sum,t7),X_333),t7) = xor(t7,xor(and(sum,t7),X_333)) ),
inference(resolve,[$cnf( $equal(xor(xor(and(sum,t7),X_333),t7),xor(and(sum,t7),xor(X_333,t7))) )],[refute_0_5712,refute_0_5713]) ).
cnf(refute_0_5715,plain,
xor(xor(and(sum,t7),X_333),t7) = xor(t7,xor(and(sum,t7),X_333)),
inference(resolve,[$cnf( $equal(xor(and(sum,t7),xor(X_333,t7)),xor(t7,xor(and(sum,t7),X_333))) )],[refute_0_5711,refute_0_5714]) ).
cnf(refute_0_5716,plain,
xor(sum,xor(xor(and(sum,t7),X_333),t7)) = xor(sum,xor(xor(and(sum,t7),X_333),t7)),
introduced(tautology,[refl,[$fot(xor(sum,xor(xor(and(sum,t7),X_333),t7)))]]) ).
cnf(refute_0_5717,plain,
( xor(sum,xor(xor(and(sum,t7),X_333),t7)) != xor(sum,xor(xor(and(sum,t7),X_333),t7))
| xor(xor(and(sum,t7),X_333),t7) != xor(t7,xor(and(sum,t7),X_333))
| xor(sum,xor(xor(and(sum,t7),X_333),t7)) = xor(sum,xor(t7,xor(and(sum,t7),X_333))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,xor(xor(and(sum,t7),X_333),t7)),xor(sum,xor(xor(and(sum,t7),X_333),t7))) ),[1,1],$fot(xor(t7,xor(and(sum,t7),X_333)))]]) ).
cnf(refute_0_5718,plain,
( xor(xor(and(sum,t7),X_333),t7) != xor(t7,xor(and(sum,t7),X_333))
| xor(sum,xor(xor(and(sum,t7),X_333),t7)) = xor(sum,xor(t7,xor(and(sum,t7),X_333))) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(xor(and(sum,t7),X_333),t7)),xor(sum,xor(xor(and(sum,t7),X_333),t7))) )],[refute_0_5716,refute_0_5717]) ).
cnf(refute_0_5719,plain,
xor(sum,xor(xor(and(sum,t7),X_333),t7)) = xor(sum,xor(t7,xor(and(sum,t7),X_333))),
inference(resolve,[$cnf( $equal(xor(xor(and(sum,t7),X_333),t7),xor(t7,xor(and(sum,t7),X_333))) )],[refute_0_5715,refute_0_5718]) ).
cnf(refute_0_5720,plain,
xor(t7,xor(sum,xor(and(sum,t7),X_333))) = xor(sum,xor(xor(and(sum,t7),X_333),t7)),
inference(subst,[],[refute_0_1451:[bind(X,$fot(t7)),bind(X_333,$fot(sum)),bind(X_334,$fot(xor(and(sum,t7),X_333)))]]) ).
cnf(refute_0_5721,plain,
( xor(sum,xor(xor(and(sum,t7),X_333),t7)) != xor(sum,xor(t7,xor(and(sum,t7),X_333)))
| xor(t7,xor(sum,xor(and(sum,t7),X_333))) != xor(sum,xor(xor(and(sum,t7),X_333),t7))
| xor(t7,xor(sum,xor(and(sum,t7),X_333))) = xor(sum,xor(t7,xor(and(sum,t7),X_333))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t7,xor(sum,xor(and(sum,t7),X_333))))),bind(Y0,$fot(xor(sum,xor(xor(and(sum,t7),X_333),t7)))),bind(Z0,$fot(xor(sum,xor(t7,xor(and(sum,t7),X_333)))))]]) ).
cnf(refute_0_5722,plain,
( xor(sum,xor(xor(and(sum,t7),X_333),t7)) != xor(sum,xor(t7,xor(and(sum,t7),X_333)))
| xor(t7,xor(sum,xor(and(sum,t7),X_333))) = xor(sum,xor(t7,xor(and(sum,t7),X_333))) ),
inference(resolve,[$cnf( $equal(xor(t7,xor(sum,xor(and(sum,t7),X_333))),xor(sum,xor(xor(and(sum,t7),X_333),t7))) )],[refute_0_5720,refute_0_5721]) ).
cnf(refute_0_5723,plain,
xor(t7,xor(sum,xor(and(sum,t7),X_333))) = xor(sum,xor(t7,xor(and(sum,t7),X_333))),
inference(resolve,[$cnf( $equal(xor(sum,xor(xor(and(sum,t7),X_333),t7)),xor(sum,xor(t7,xor(and(sum,t7),X_333)))) )],[refute_0_5719,refute_0_5722]) ).
cnf(refute_0_5724,plain,
xor(and(sum,t7),xor(X_333,sum)) = xor(sum,xor(and(sum,t7),X_333)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(sum)),bind(X_333,$fot(and(sum,t7))),bind(X_334,$fot(X_333))]]) ).
cnf(refute_0_5725,plain,
xor(t7,xor(and(sum,t7),xor(X_333,sum))) = xor(t7,xor(and(sum,t7),xor(X_333,sum))),
introduced(tautology,[refl,[$fot(xor(t7,xor(and(sum,t7),xor(X_333,sum))))]]) ).
cnf(refute_0_5726,plain,
( xor(and(sum,t7),xor(X_333,sum)) != xor(sum,xor(and(sum,t7),X_333))
| xor(t7,xor(and(sum,t7),xor(X_333,sum))) != xor(t7,xor(and(sum,t7),xor(X_333,sum)))
| xor(t7,xor(and(sum,t7),xor(X_333,sum))) = xor(t7,xor(sum,xor(and(sum,t7),X_333))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t7,xor(and(sum,t7),xor(X_333,sum))),xor(t7,xor(and(sum,t7),xor(X_333,sum)))) ),[1,1],$fot(xor(sum,xor(and(sum,t7),X_333)))]]) ).
cnf(refute_0_5727,plain,
( xor(and(sum,t7),xor(X_333,sum)) != xor(sum,xor(and(sum,t7),X_333))
| xor(t7,xor(and(sum,t7),xor(X_333,sum))) = xor(t7,xor(sum,xor(and(sum,t7),X_333))) ),
inference(resolve,[$cnf( $equal(xor(t7,xor(and(sum,t7),xor(X_333,sum))),xor(t7,xor(and(sum,t7),xor(X_333,sum)))) )],[refute_0_5725,refute_0_5726]) ).
cnf(refute_0_5728,plain,
xor(t7,xor(and(sum,t7),xor(X_333,sum))) = xor(t7,xor(sum,xor(and(sum,t7),X_333))),
inference(resolve,[$cnf( $equal(xor(and(sum,t7),xor(X_333,sum)),xor(sum,xor(and(sum,t7),X_333))) )],[refute_0_5724,refute_0_5727]) ).
cnf(refute_0_5729,plain,
( xor(t7,xor(and(sum,t7),xor(X_333,sum))) != xor(t7,xor(sum,xor(and(sum,t7),X_333)))
| xor(t7,xor(sum,xor(and(sum,t7),X_333))) != xor(sum,xor(t7,xor(and(sum,t7),X_333)))
| xor(t7,xor(and(sum,t7),xor(X_333,sum))) = xor(sum,xor(t7,xor(and(sum,t7),X_333))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t7,xor(and(sum,t7),xor(X_333,sum))))),bind(Y0,$fot(xor(t7,xor(sum,xor(and(sum,t7),X_333))))),bind(Z0,$fot(xor(sum,xor(t7,xor(and(sum,t7),X_333)))))]]) ).
cnf(refute_0_5730,plain,
( xor(t7,xor(sum,xor(and(sum,t7),X_333))) != xor(sum,xor(t7,xor(and(sum,t7),X_333)))
| xor(t7,xor(and(sum,t7),xor(X_333,sum))) = xor(sum,xor(t7,xor(and(sum,t7),X_333))) ),
inference(resolve,[$cnf( $equal(xor(t7,xor(and(sum,t7),xor(X_333,sum))),xor(t7,xor(sum,xor(and(sum,t7),X_333)))) )],[refute_0_5728,refute_0_5729]) ).
cnf(refute_0_5731,plain,
xor(t7,xor(and(sum,t7),xor(X_333,sum))) = xor(sum,xor(t7,xor(and(sum,t7),X_333))),
inference(resolve,[$cnf( $equal(xor(t7,xor(sum,xor(and(sum,t7),X_333))),xor(sum,xor(t7,xor(and(sum,t7),X_333)))) )],[refute_0_5723,refute_0_5730]) ).
cnf(refute_0_5732,plain,
xor(and(sum,t7),xor(xor(X_333,sum),t7)) = xor(t7,xor(and(sum,t7),xor(X_333,sum))),
inference(subst,[],[refute_0_1453:[bind(X,$fot(t7)),bind(X_333,$fot(and(sum,t7))),bind(X_334,$fot(xor(X_333,sum)))]]) ).
cnf(refute_0_5733,plain,
xor(xor(X_333,sum),xor(t7,and(sum,t7))) = xor(and(sum,t7),xor(xor(X_333,sum),t7)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(and(sum,t7))),bind(X_333,$fot(xor(X_333,sum))),bind(X_334,$fot(t7))]]) ).
cnf(refute_0_5734,plain,
( xor(and(sum,t7),xor(xor(X_333,sum),t7)) != xor(t7,xor(and(sum,t7),xor(X_333,sum)))
| xor(xor(X_333,sum),xor(t7,and(sum,t7))) != xor(and(sum,t7),xor(xor(X_333,sum),t7))
| xor(xor(X_333,sum),xor(t7,and(sum,t7))) = xor(t7,xor(and(sum,t7),xor(X_333,sum))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X_333,sum),xor(t7,and(sum,t7))))),bind(Y0,$fot(xor(and(sum,t7),xor(xor(X_333,sum),t7)))),bind(Z0,$fot(xor(t7,xor(and(sum,t7),xor(X_333,sum)))))]]) ).
cnf(refute_0_5735,plain,
( xor(and(sum,t7),xor(xor(X_333,sum),t7)) != xor(t7,xor(and(sum,t7),xor(X_333,sum)))
| xor(xor(X_333,sum),xor(t7,and(sum,t7))) = xor(t7,xor(and(sum,t7),xor(X_333,sum))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,sum),xor(t7,and(sum,t7))),xor(and(sum,t7),xor(xor(X_333,sum),t7))) )],[refute_0_5733,refute_0_5734]) ).
cnf(refute_0_5736,plain,
xor(xor(X_333,sum),xor(t7,and(sum,t7))) = xor(t7,xor(and(sum,t7),xor(X_333,sum))),
inference(resolve,[$cnf( $equal(xor(and(sum,t7),xor(xor(X_333,sum),t7)),xor(t7,xor(and(sum,t7),xor(X_333,sum)))) )],[refute_0_5732,refute_0_5735]) ).
cnf(refute_0_5737,plain,
( xor(t7,xor(and(sum,t7),xor(X_333,sum))) != xor(sum,xor(t7,xor(and(sum,t7),X_333)))
| xor(xor(X_333,sum),xor(t7,and(sum,t7))) != xor(t7,xor(and(sum,t7),xor(X_333,sum)))
| xor(xor(X_333,sum),xor(t7,and(sum,t7))) = xor(sum,xor(t7,xor(and(sum,t7),X_333))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X_333,sum),xor(t7,and(sum,t7))))),bind(Y0,$fot(xor(t7,xor(and(sum,t7),xor(X_333,sum))))),bind(Z0,$fot(xor(sum,xor(t7,xor(and(sum,t7),X_333)))))]]) ).
cnf(refute_0_5738,plain,
( xor(t7,xor(and(sum,t7),xor(X_333,sum))) != xor(sum,xor(t7,xor(and(sum,t7),X_333)))
| xor(xor(X_333,sum),xor(t7,and(sum,t7))) = xor(sum,xor(t7,xor(and(sum,t7),X_333))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,sum),xor(t7,and(sum,t7))),xor(t7,xor(and(sum,t7),xor(X_333,sum)))) )],[refute_0_5736,refute_0_5737]) ).
cnf(refute_0_5739,plain,
xor(xor(X_333,sum),xor(t7,and(sum,t7))) = xor(sum,xor(t7,xor(and(sum,t7),X_333))),
inference(resolve,[$cnf( $equal(xor(t7,xor(and(sum,t7),xor(X_333,sum))),xor(sum,xor(t7,xor(and(sum,t7),X_333)))) )],[refute_0_5731,refute_0_5738]) ).
cnf(refute_0_5740,plain,
( not(X_333) != xor(xor(X_333,sum),xor(t7,and(sum,t7)))
| xor(xor(X_333,sum),xor(t7,and(sum,t7))) != xor(sum,xor(t7,xor(and(sum,t7),X_333)))
| not(X_333) = xor(sum,xor(t7,xor(and(sum,t7),X_333))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(X_333),xor(sum,xor(t7,xor(and(sum,t7),X_333)))) ),[0],$fot(xor(xor(X_333,sum),xor(t7,and(sum,t7))))]]) ).
cnf(refute_0_5741,plain,
( not(X_333) != xor(xor(X_333,sum),xor(t7,and(sum,t7)))
| not(X_333) = xor(sum,xor(t7,xor(and(sum,t7),X_333))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,sum),xor(t7,and(sum,t7))),xor(sum,xor(t7,xor(and(sum,t7),X_333)))) )],[refute_0_5739,refute_0_5740]) ).
cnf(refute_0_5742,plain,
( xor(X_333,ll1) != xor(xor(X_333,sum),xor(t7,and(sum,t7)))
| not(X_333) = xor(sum,xor(t7,xor(and(sum,t7),X_333))) ),
inference(resolve,[$cnf( $equal(not(X_333),xor(xor(X_333,sum),xor(t7,and(sum,t7)))) )],[refute_0_5710,refute_0_5741]) ).
cnf(refute_0_5743,plain,
not(X_333) = xor(sum,xor(t7,xor(and(sum,t7),X_333))),
inference(resolve,[$cnf( $equal(xor(X_333,ll1),xor(xor(X_333,sum),xor(t7,and(sum,t7)))) )],[refute_0_5708,refute_0_5742]) ).
cnf(refute_0_5744,plain,
not(xor(X_385,and(sum,t7))) = xor(sum,xor(t7,xor(and(sum,t7),xor(X_385,and(sum,t7))))),
inference(subst,[],[refute_0_5743:[bind(X_333,$fot(xor(X_385,and(sum,t7))))]]) ).
cnf(refute_0_5745,plain,
not(xor(sum,xor(t7,xor(X_384,and(sum,t7))))) = xor(sum,not(xor(t7,xor(X_384,and(sum,t7))))),
inference(subst,[],[refute_0_1137:[bind(X_333,$fot(sum)),bind(X_334,$fot(xor(t7,xor(X_384,and(sum,t7)))))]]) ).
cnf(refute_0_5746,plain,
xor(X_333,xor(and(sum,t7),xor(sum,t7))) = xor(xor(X_333,and(sum,t7)),xor(sum,t7)),
inference(subst,[],[xor_associative:[bind(X,$fot(X_333)),bind(Y,$fot(and(sum,t7))),bind(Z,$fot(xor(sum,t7)))]]) ).
cnf(refute_0_5747,plain,
ll1 = xor(and(sum,t7),not(and(sum,t7))),
inference(subst,[],[refute_0_473:[bind(X_64,$fot(and(sum,t7)))]]) ).
cnf(refute_0_5748,plain,
( ll1 != xor(and(sum,t7),not(and(sum,t7)))
| not(and(sum,t7)) != xor(sum,t7)
| ll1 = xor(and(sum,t7),xor(sum,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,xor(and(sum,t7),not(and(sum,t7)))) ),[1,1],$fot(xor(sum,t7))]]) ).
cnf(refute_0_5749,plain,
( ll1 != xor(and(sum,t7),not(and(sum,t7)))
| ll1 = xor(and(sum,t7),xor(sum,t7)) ),
inference(resolve,[$cnf( $equal(not(and(sum,t7)),xor(sum,t7)) )],[refute_0_5693,refute_0_5748]) ).
cnf(refute_0_5750,plain,
ll1 = xor(and(sum,t7),xor(sum,t7)),
inference(resolve,[$cnf( $equal(ll1,xor(and(sum,t7),not(and(sum,t7)))) )],[refute_0_5747,refute_0_5749]) ).
cnf(refute_0_5751,plain,
( ll1 != xor(and(sum,t7),xor(sum,t7))
| xor(and(sum,t7),xor(sum,t7)) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(xor(and(sum,t7),xor(sum,t7))))]]) ).
cnf(refute_0_5752,plain,
xor(and(sum,t7),xor(sum,t7)) = ll1,
inference(resolve,[$cnf( $equal(ll1,xor(and(sum,t7),xor(sum,t7))) )],[refute_0_5750,refute_0_5751]) ).
cnf(refute_0_5753,plain,
( xor(X_333,xor(and(sum,t7),xor(sum,t7))) != xor(xor(X_333,and(sum,t7)),xor(sum,t7))
| xor(and(sum,t7),xor(sum,t7)) != ll1
| xor(X_333,ll1) = xor(xor(X_333,and(sum,t7)),xor(sum,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,xor(and(sum,t7),xor(sum,t7))),xor(xor(X_333,and(sum,t7)),xor(sum,t7))) ),[0,1],$fot(ll1)]]) ).
cnf(refute_0_5754,plain,
( xor(X_333,xor(and(sum,t7),xor(sum,t7))) != xor(xor(X_333,and(sum,t7)),xor(sum,t7))
| xor(X_333,ll1) = xor(xor(X_333,and(sum,t7)),xor(sum,t7)) ),
inference(resolve,[$cnf( $equal(xor(and(sum,t7),xor(sum,t7)),ll1) )],[refute_0_5752,refute_0_5753]) ).
cnf(refute_0_5755,plain,
xor(X_333,ll1) = xor(xor(X_333,and(sum,t7)),xor(sum,t7)),
inference(resolve,[$cnf( $equal(xor(X_333,xor(and(sum,t7),xor(sum,t7))),xor(xor(X_333,and(sum,t7)),xor(sum,t7))) )],[refute_0_5746,refute_0_5754]) ).
cnf(refute_0_5756,plain,
( xor(X_333,ll1) != not(X_333)
| xor(X_333,ll1) != xor(xor(X_333,and(sum,t7)),xor(sum,t7))
| not(X_333) = xor(xor(X_333,and(sum,t7)),xor(sum,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,ll1),xor(xor(X_333,and(sum,t7)),xor(sum,t7))) ),[0],$fot(not(X_333))]]) ).
cnf(refute_0_5757,plain,
( xor(X_333,ll1) != xor(xor(X_333,and(sum,t7)),xor(sum,t7))
| not(X_333) = xor(xor(X_333,and(sum,t7)),xor(sum,t7)) ),
inference(resolve,[$cnf( $equal(xor(X_333,ll1),not(X_333)) )],[refute_0_3465,refute_0_5756]) ).
cnf(refute_0_5758,plain,
xor(t7,xor(xor(X_333,and(sum,t7)),sum)) = xor(sum,xor(t7,xor(X_333,and(sum,t7)))),
inference(subst,[],[refute_0_1453:[bind(X,$fot(sum)),bind(X_333,$fot(t7)),bind(X_334,$fot(xor(X_333,and(sum,t7))))]]) ).
cnf(refute_0_5759,plain,
xor(xor(X_333,and(sum,t7)),xor(sum,t7)) = xor(t7,xor(xor(X_333,and(sum,t7)),sum)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(t7)),bind(X_333,$fot(xor(X_333,and(sum,t7)))),bind(X_334,$fot(sum))]]) ).
cnf(refute_0_5760,plain,
( xor(t7,xor(xor(X_333,and(sum,t7)),sum)) != xor(sum,xor(t7,xor(X_333,and(sum,t7))))
| xor(xor(X_333,and(sum,t7)),xor(sum,t7)) != xor(t7,xor(xor(X_333,and(sum,t7)),sum))
| xor(xor(X_333,and(sum,t7)),xor(sum,t7)) = xor(sum,xor(t7,xor(X_333,and(sum,t7)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X_333,and(sum,t7)),xor(sum,t7)))),bind(Y0,$fot(xor(t7,xor(xor(X_333,and(sum,t7)),sum)))),bind(Z0,$fot(xor(sum,xor(t7,xor(X_333,and(sum,t7))))))]]) ).
cnf(refute_0_5761,plain,
( xor(t7,xor(xor(X_333,and(sum,t7)),sum)) != xor(sum,xor(t7,xor(X_333,and(sum,t7))))
| xor(xor(X_333,and(sum,t7)),xor(sum,t7)) = xor(sum,xor(t7,xor(X_333,and(sum,t7)))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,and(sum,t7)),xor(sum,t7)),xor(t7,xor(xor(X_333,and(sum,t7)),sum))) )],[refute_0_5759,refute_0_5760]) ).
cnf(refute_0_5762,plain,
xor(xor(X_333,and(sum,t7)),xor(sum,t7)) = xor(sum,xor(t7,xor(X_333,and(sum,t7)))),
inference(resolve,[$cnf( $equal(xor(t7,xor(xor(X_333,and(sum,t7)),sum)),xor(sum,xor(t7,xor(X_333,and(sum,t7))))) )],[refute_0_5758,refute_0_5761]) ).
cnf(refute_0_5763,plain,
( not(X_333) != xor(xor(X_333,and(sum,t7)),xor(sum,t7))
| xor(xor(X_333,and(sum,t7)),xor(sum,t7)) != xor(sum,xor(t7,xor(X_333,and(sum,t7))))
| not(X_333) = xor(sum,xor(t7,xor(X_333,and(sum,t7)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(X_333),xor(sum,xor(t7,xor(X_333,and(sum,t7))))) ),[0],$fot(xor(xor(X_333,and(sum,t7)),xor(sum,t7)))]]) ).
cnf(refute_0_5764,plain,
( not(X_333) != xor(xor(X_333,and(sum,t7)),xor(sum,t7))
| not(X_333) = xor(sum,xor(t7,xor(X_333,and(sum,t7)))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,and(sum,t7)),xor(sum,t7)),xor(sum,xor(t7,xor(X_333,and(sum,t7))))) )],[refute_0_5762,refute_0_5763]) ).
cnf(refute_0_5765,plain,
( xor(X_333,ll1) != xor(xor(X_333,and(sum,t7)),xor(sum,t7))
| not(X_333) = xor(sum,xor(t7,xor(X_333,and(sum,t7)))) ),
inference(resolve,[$cnf( $equal(not(X_333),xor(xor(X_333,and(sum,t7)),xor(sum,t7))) )],[refute_0_5757,refute_0_5764]) ).
cnf(refute_0_5766,plain,
not(X_333) = xor(sum,xor(t7,xor(X_333,and(sum,t7)))),
inference(resolve,[$cnf( $equal(xor(X_333,ll1),xor(xor(X_333,and(sum,t7)),xor(sum,t7))) )],[refute_0_5755,refute_0_5765]) ).
cnf(refute_0_5767,plain,
not(X_384) = xor(sum,xor(t7,xor(X_384,and(sum,t7)))),
inference(subst,[],[refute_0_5766:[bind(X_333,$fot(X_384))]]) ).
cnf(refute_0_5768,plain,
( not(X_384) != xor(sum,xor(t7,xor(X_384,and(sum,t7))))
| xor(sum,xor(t7,xor(X_384,and(sum,t7)))) = not(X_384) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(X_384))),bind(Y0,$fot(xor(sum,xor(t7,xor(X_384,and(sum,t7))))))]]) ).
cnf(refute_0_5769,plain,
xor(sum,xor(t7,xor(X_384,and(sum,t7)))) = not(X_384),
inference(resolve,[$cnf( $equal(not(X_384),xor(sum,xor(t7,xor(X_384,and(sum,t7))))) )],[refute_0_5767,refute_0_5768]) ).
cnf(refute_0_5770,plain,
( not(xor(sum,xor(t7,xor(X_384,and(sum,t7))))) != xor(sum,not(xor(t7,xor(X_384,and(sum,t7)))))
| xor(sum,xor(t7,xor(X_384,and(sum,t7)))) != not(X_384)
| not(not(X_384)) = xor(sum,not(xor(t7,xor(X_384,and(sum,t7))))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(sum,xor(t7,xor(X_384,and(sum,t7))))),xor(sum,not(xor(t7,xor(X_384,and(sum,t7)))))) ),[0,0],$fot(not(X_384))]]) ).
cnf(refute_0_5771,plain,
( not(xor(sum,xor(t7,xor(X_384,and(sum,t7))))) != xor(sum,not(xor(t7,xor(X_384,and(sum,t7)))))
| not(not(X_384)) = xor(sum,not(xor(t7,xor(X_384,and(sum,t7))))) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(t7,xor(X_384,and(sum,t7)))),not(X_384)) )],[refute_0_5769,refute_0_5770]) ).
cnf(refute_0_5772,plain,
not(not(X_384)) = xor(sum,not(xor(t7,xor(X_384,and(sum,t7))))),
inference(resolve,[$cnf( $equal(not(xor(sum,xor(t7,xor(X_384,and(sum,t7))))),xor(sum,not(xor(t7,xor(X_384,and(sum,t7)))))) )],[refute_0_5745,refute_0_5771]) ).
cnf(refute_0_5773,plain,
not(not(X_384)) = X_384,
inference(subst,[],[not_involution:[bind(X,$fot(X_384))]]) ).
cnf(refute_0_5774,plain,
( not(not(X_384)) != X_384
| not(not(X_384)) != xor(sum,not(xor(t7,xor(X_384,and(sum,t7)))))
| X_384 = xor(sum,not(xor(t7,xor(X_384,and(sum,t7))))) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(X_384)),xor(sum,not(xor(t7,xor(X_384,and(sum,t7)))))) ),[0],$fot(X_384)]]) ).
cnf(refute_0_5775,plain,
( not(not(X_384)) != xor(sum,not(xor(t7,xor(X_384,and(sum,t7)))))
| X_384 = xor(sum,not(xor(t7,xor(X_384,and(sum,t7))))) ),
inference(resolve,[$cnf( $equal(not(not(X_384)),X_384) )],[refute_0_5773,refute_0_5774]) ).
cnf(refute_0_5776,plain,
or(and(and(sum,t7),not(Y)),and(not(and(sum,t7)),Y)) = xor(and(sum,t7),Y),
inference(subst,[],[refute_0_9:[bind(X,$fot(and(sum,t7)))]]) ).
cnf(refute_0_5777,plain,
( not(and(sum,t7)) != xor(sum,t7)
| or(and(and(sum,t7),not(Y)),and(not(and(sum,t7)),Y)) != xor(and(sum,t7),Y)
| or(and(and(sum,t7),not(Y)),and(xor(sum,t7),Y)) = xor(and(sum,t7),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(and(sum,t7),not(Y)),and(not(and(sum,t7)),Y)),xor(and(sum,t7),Y)) ),[0,1,0],$fot(xor(sum,t7))]]) ).
cnf(refute_0_5778,plain,
( or(and(and(sum,t7),not(Y)),and(not(and(sum,t7)),Y)) != xor(and(sum,t7),Y)
| or(and(and(sum,t7),not(Y)),and(xor(sum,t7),Y)) = xor(and(sum,t7),Y) ),
inference(resolve,[$cnf( $equal(not(and(sum,t7)),xor(sum,t7)) )],[refute_0_5693,refute_0_5777]) ).
cnf(refute_0_5779,plain,
or(and(and(sum,t7),not(Y)),and(xor(sum,t7),Y)) = xor(and(sum,t7),Y),
inference(resolve,[$cnf( $equal(or(and(and(sum,t7),not(Y)),and(not(and(sum,t7)),Y)),xor(and(sum,t7),Y)) )],[refute_0_5776,refute_0_5778]) ).
cnf(refute_0_5780,plain,
and(and(sum,t7),not(Y)) = and(sum,and(t7,not(Y))),
inference(subst,[],[and_associative:[bind(X,$fot(sum)),bind(Y,$fot(t7)),bind(Z,$fot(not(Y)))]]) ).
cnf(refute_0_5781,plain,
or(and(xor(sum,t7),Y),and(and(sum,t7),not(Y))) = or(and(xor(sum,t7),Y),and(and(sum,t7),not(Y))),
introduced(tautology,[refl,[$fot(or(and(xor(sum,t7),Y),and(and(sum,t7),not(Y))))]]) ).
cnf(refute_0_5782,plain,
( and(and(sum,t7),not(Y)) != and(sum,and(t7,not(Y)))
| or(and(xor(sum,t7),Y),and(and(sum,t7),not(Y))) != or(and(xor(sum,t7),Y),and(and(sum,t7),not(Y)))
| or(and(xor(sum,t7),Y),and(and(sum,t7),not(Y))) = or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(sum,t7),Y),and(and(sum,t7),not(Y))),or(and(xor(sum,t7),Y),and(and(sum,t7),not(Y)))) ),[1,1],$fot(and(sum,and(t7,not(Y))))]]) ).
cnf(refute_0_5783,plain,
( and(and(sum,t7),not(Y)) != and(sum,and(t7,not(Y)))
| or(and(xor(sum,t7),Y),and(and(sum,t7),not(Y))) = or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y)))) ),
inference(resolve,[$cnf( $equal(or(and(xor(sum,t7),Y),and(and(sum,t7),not(Y))),or(and(xor(sum,t7),Y),and(and(sum,t7),not(Y)))) )],[refute_0_5781,refute_0_5782]) ).
cnf(refute_0_5784,plain,
or(and(xor(sum,t7),Y),and(and(sum,t7),not(Y))) = or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y)))),
inference(resolve,[$cnf( $equal(and(and(sum,t7),not(Y)),and(sum,and(t7,not(Y)))) )],[refute_0_5780,refute_0_5783]) ).
cnf(refute_0_5785,plain,
or(and(and(sum,t7),not(Y)),and(xor(sum,t7),Y)) = or(and(xor(sum,t7),Y),and(and(sum,t7),not(Y))),
inference(subst,[],[refute_0_5:[bind(X,$fot(and(xor(sum,t7),Y))),bind(Y,$fot(and(and(sum,t7),not(Y))))]]) ).
cnf(refute_0_5786,plain,
( or(and(and(sum,t7),not(Y)),and(xor(sum,t7),Y)) != or(and(xor(sum,t7),Y),and(and(sum,t7),not(Y)))
| or(and(xor(sum,t7),Y),and(and(sum,t7),not(Y))) != or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y))))
| or(and(and(sum,t7),not(Y)),and(xor(sum,t7),Y)) = or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(and(sum,t7),not(Y)),and(xor(sum,t7),Y)))),bind(Y0,$fot(or(and(xor(sum,t7),Y),and(and(sum,t7),not(Y))))),bind(Z0,$fot(or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y))))))]]) ).
cnf(refute_0_5787,plain,
( or(and(xor(sum,t7),Y),and(and(sum,t7),not(Y))) != or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y))))
| or(and(and(sum,t7),not(Y)),and(xor(sum,t7),Y)) = or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y)))) ),
inference(resolve,[$cnf( $equal(or(and(and(sum,t7),not(Y)),and(xor(sum,t7),Y)),or(and(xor(sum,t7),Y),and(and(sum,t7),not(Y)))) )],[refute_0_5785,refute_0_5786]) ).
cnf(refute_0_5788,plain,
or(and(and(sum,t7),not(Y)),and(xor(sum,t7),Y)) = or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y)))),
inference(resolve,[$cnf( $equal(or(and(xor(sum,t7),Y),and(and(sum,t7),not(Y))),or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y))))) )],[refute_0_5784,refute_0_5787]) ).
cnf(refute_0_5789,plain,
( or(and(and(sum,t7),not(Y)),and(xor(sum,t7),Y)) != or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y))))
| or(and(and(sum,t7),not(Y)),and(xor(sum,t7),Y)) != xor(and(sum,t7),Y)
| or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y)))) = xor(and(sum,t7),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(and(sum,t7),not(Y)),and(xor(sum,t7),Y)),xor(and(sum,t7),Y)) ),[0],$fot(or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y)))))]]) ).
cnf(refute_0_5790,plain,
( or(and(and(sum,t7),not(Y)),and(xor(sum,t7),Y)) != xor(and(sum,t7),Y)
| or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y)))) = xor(and(sum,t7),Y) ),
inference(resolve,[$cnf( $equal(or(and(and(sum,t7),not(Y)),and(xor(sum,t7),Y)),or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y))))) )],[refute_0_5788,refute_0_5789]) ).
cnf(refute_0_5791,plain,
or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y)))) = xor(and(sum,t7),Y),
inference(resolve,[$cnf( $equal(or(and(and(sum,t7),not(Y)),and(xor(sum,t7),Y)),xor(and(sum,t7),Y)) )],[refute_0_5779,refute_0_5790]) ).
cnf(refute_0_5792,plain,
xor(xor(sum,t7),not(Y)) = xor(sum,xor(t7,not(Y))),
inference(subst,[],[refute_0_526:[bind(X,$fot(sum)),bind(Y,$fot(t7)),bind(Z,$fot(not(Y)))]]) ).
cnf(refute_0_5793,plain,
or(and(xor(sum,t7),Y),not(or(xor(sum,t7),Y))) = xor(xor(sum,t7),not(Y)),
inference(subst,[],[refute_0_3627:[bind(X,$fot(xor(sum,t7))),bind(X_64,$fot(Y))]]) ).
cnf(refute_0_5794,plain,
( or(and(xor(sum,t7),Y),not(or(xor(sum,t7),Y))) != xor(xor(sum,t7),not(Y))
| xor(xor(sum,t7),not(Y)) != xor(sum,xor(t7,not(Y)))
| or(and(xor(sum,t7),Y),not(or(xor(sum,t7),Y))) = xor(sum,xor(t7,not(Y))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(xor(sum,t7),Y),not(or(xor(sum,t7),Y))))),bind(Y0,$fot(xor(xor(sum,t7),not(Y)))),bind(Z0,$fot(xor(sum,xor(t7,not(Y)))))]]) ).
cnf(refute_0_5795,plain,
( xor(xor(sum,t7),not(Y)) != xor(sum,xor(t7,not(Y)))
| or(and(xor(sum,t7),Y),not(or(xor(sum,t7),Y))) = xor(sum,xor(t7,not(Y))) ),
inference(resolve,[$cnf( $equal(or(and(xor(sum,t7),Y),not(or(xor(sum,t7),Y))),xor(xor(sum,t7),not(Y))) )],[refute_0_5793,refute_0_5794]) ).
cnf(refute_0_5796,plain,
or(and(xor(sum,t7),Y),not(or(xor(sum,t7),Y))) = xor(sum,xor(t7,not(Y))),
inference(resolve,[$cnf( $equal(xor(xor(sum,t7),not(Y)),xor(sum,xor(t7,not(Y)))) )],[refute_0_5792,refute_0_5795]) ).
cnf(refute_0_5797,plain,
not(or(not(and(sum,t7)),X_26)) = and(and(sum,t7),not(X_26)),
inference(subst,[],[refute_0_159:[bind(X,$fot(and(sum,t7)))]]) ).
cnf(refute_0_5798,plain,
( not(and(sum,t7)) != xor(sum,t7)
| not(or(not(and(sum,t7)),X_26)) != and(and(sum,t7),not(X_26))
| not(or(xor(sum,t7),X_26)) = and(and(sum,t7),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(and(sum,t7)),X_26)),and(and(sum,t7),not(X_26))) ),[0,0,0],$fot(xor(sum,t7))]]) ).
cnf(refute_0_5799,plain,
( not(or(not(and(sum,t7)),X_26)) != and(and(sum,t7),not(X_26))
| not(or(xor(sum,t7),X_26)) = and(and(sum,t7),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(and(sum,t7)),xor(sum,t7)) )],[refute_0_5693,refute_0_5798]) ).
cnf(refute_0_5800,plain,
not(or(xor(sum,t7),X_26)) = and(and(sum,t7),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(not(and(sum,t7)),X_26)),and(and(sum,t7),not(X_26))) )],[refute_0_5797,refute_0_5799]) ).
cnf(refute_0_5801,plain,
and(and(sum,t7),not(X_26)) = and(sum,and(t7,not(X_26))),
inference(subst,[],[and_associative:[bind(X,$fot(sum)),bind(Y,$fot(t7)),bind(Z,$fot(not(X_26)))]]) ).
cnf(refute_0_5802,plain,
( and(and(sum,t7),not(X_26)) != and(sum,and(t7,not(X_26)))
| not(or(xor(sum,t7),X_26)) != and(and(sum,t7),not(X_26))
| not(or(xor(sum,t7),X_26)) = and(sum,and(t7,not(X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(sum,t7),X_26)),and(and(sum,t7),not(X_26))) ),[1],$fot(and(sum,and(t7,not(X_26))))]]) ).
cnf(refute_0_5803,plain,
( not(or(xor(sum,t7),X_26)) != and(and(sum,t7),not(X_26))
| not(or(xor(sum,t7),X_26)) = and(sum,and(t7,not(X_26))) ),
inference(resolve,[$cnf( $equal(and(and(sum,t7),not(X_26)),and(sum,and(t7,not(X_26)))) )],[refute_0_5801,refute_0_5802]) ).
cnf(refute_0_5804,plain,
not(or(xor(sum,t7),X_26)) = and(sum,and(t7,not(X_26))),
inference(resolve,[$cnf( $equal(not(or(xor(sum,t7),X_26)),and(and(sum,t7),not(X_26))) )],[refute_0_5800,refute_0_5803]) ).
cnf(refute_0_5805,plain,
( not(or(xor(sum,t7),X_26)) != and(sum,and(t7,not(X_26)))
| and(sum,and(t7,not(X_26))) = not(or(xor(sum,t7),X_26)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(xor(sum,t7),X_26)))),bind(Y0,$fot(and(sum,and(t7,not(X_26)))))]]) ).
cnf(refute_0_5806,plain,
and(sum,and(t7,not(X_26))) = not(or(xor(sum,t7),X_26)),
inference(resolve,[$cnf( $equal(not(or(xor(sum,t7),X_26)),and(sum,and(t7,not(X_26)))) )],[refute_0_5804,refute_0_5805]) ).
cnf(refute_0_5807,plain,
and(sum,and(t7,not(Y))) = not(or(xor(sum,t7),Y)),
inference(subst,[],[refute_0_5806:[bind(X_26,$fot(Y))]]) ).
cnf(refute_0_5808,plain,
or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y)))) = or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y)))),
introduced(tautology,[refl,[$fot(or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y)))))]]) ).
cnf(refute_0_5809,plain,
( and(sum,and(t7,not(Y))) != not(or(xor(sum,t7),Y))
| or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y)))) != or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y))))
| or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y)))) = or(and(xor(sum,t7),Y),not(or(xor(sum,t7),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y)))),or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y))))) ),[1,1],$fot(not(or(xor(sum,t7),Y)))]]) ).
cnf(refute_0_5810,plain,
( and(sum,and(t7,not(Y))) != not(or(xor(sum,t7),Y))
| or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y)))) = or(and(xor(sum,t7),Y),not(or(xor(sum,t7),Y))) ),
inference(resolve,[$cnf( $equal(or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y)))),or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y))))) )],[refute_0_5808,refute_0_5809]) ).
cnf(refute_0_5811,plain,
or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y)))) = or(and(xor(sum,t7),Y),not(or(xor(sum,t7),Y))),
inference(resolve,[$cnf( $equal(and(sum,and(t7,not(Y))),not(or(xor(sum,t7),Y))) )],[refute_0_5807,refute_0_5810]) ).
cnf(refute_0_5812,plain,
( or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y)))) != or(and(xor(sum,t7),Y),not(or(xor(sum,t7),Y)))
| or(and(xor(sum,t7),Y),not(or(xor(sum,t7),Y))) != xor(sum,xor(t7,not(Y)))
| or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y)))) = xor(sum,xor(t7,not(Y))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y)))))),bind(Y0,$fot(or(and(xor(sum,t7),Y),not(or(xor(sum,t7),Y))))),bind(Z0,$fot(xor(sum,xor(t7,not(Y)))))]]) ).
cnf(refute_0_5813,plain,
( or(and(xor(sum,t7),Y),not(or(xor(sum,t7),Y))) != xor(sum,xor(t7,not(Y)))
| or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y)))) = xor(sum,xor(t7,not(Y))) ),
inference(resolve,[$cnf( $equal(or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y)))),or(and(xor(sum,t7),Y),not(or(xor(sum,t7),Y)))) )],[refute_0_5811,refute_0_5812]) ).
cnf(refute_0_5814,plain,
or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y)))) = xor(sum,xor(t7,not(Y))),
inference(resolve,[$cnf( $equal(or(and(xor(sum,t7),Y),not(or(xor(sum,t7),Y))),xor(sum,xor(t7,not(Y)))) )],[refute_0_5796,refute_0_5813]) ).
cnf(refute_0_5815,plain,
( or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y)))) != xor(and(sum,t7),Y)
| or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y)))) != xor(sum,xor(t7,not(Y)))
| xor(sum,xor(t7,not(Y))) = xor(and(sum,t7),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y)))),xor(and(sum,t7),Y)) ),[0],$fot(xor(sum,xor(t7,not(Y))))]]) ).
cnf(refute_0_5816,plain,
( or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y)))) != xor(and(sum,t7),Y)
| xor(sum,xor(t7,not(Y))) = xor(and(sum,t7),Y) ),
inference(resolve,[$cnf( $equal(or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y)))),xor(sum,xor(t7,not(Y)))) )],[refute_0_5814,refute_0_5815]) ).
cnf(refute_0_5817,plain,
xor(sum,xor(t7,not(Y))) = xor(and(sum,t7),Y),
inference(resolve,[$cnf( $equal(or(and(xor(sum,t7),Y),and(sum,and(t7,not(Y)))),xor(and(sum,t7),Y)) )],[refute_0_5791,refute_0_5816]) ).
cnf(refute_0_5818,plain,
xor(sum,not(xor(t7,Y))) = not(xor(sum,xor(t7,Y))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(sum)),bind(X_334,$fot(xor(t7,Y)))]]) ).
cnf(refute_0_5819,plain,
xor(t7,not(Y)) = not(xor(t7,Y)),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t7)),bind(X_334,$fot(Y))]]) ).
cnf(refute_0_5820,plain,
xor(sum,xor(t7,not(Y))) = xor(sum,xor(t7,not(Y))),
introduced(tautology,[refl,[$fot(xor(sum,xor(t7,not(Y))))]]) ).
cnf(refute_0_5821,plain,
( xor(sum,xor(t7,not(Y))) != xor(sum,xor(t7,not(Y)))
| xor(t7,not(Y)) != not(xor(t7,Y))
| xor(sum,xor(t7,not(Y))) = xor(sum,not(xor(t7,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,xor(t7,not(Y))),xor(sum,xor(t7,not(Y)))) ),[1,1],$fot(not(xor(t7,Y)))]]) ).
cnf(refute_0_5822,plain,
( xor(t7,not(Y)) != not(xor(t7,Y))
| xor(sum,xor(t7,not(Y))) = xor(sum,not(xor(t7,Y))) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(t7,not(Y))),xor(sum,xor(t7,not(Y)))) )],[refute_0_5820,refute_0_5821]) ).
cnf(refute_0_5823,plain,
xor(sum,xor(t7,not(Y))) = xor(sum,not(xor(t7,Y))),
inference(resolve,[$cnf( $equal(xor(t7,not(Y)),not(xor(t7,Y))) )],[refute_0_5819,refute_0_5822]) ).
cnf(refute_0_5824,plain,
( xor(sum,not(xor(t7,Y))) != not(xor(sum,xor(t7,Y)))
| xor(sum,xor(t7,not(Y))) != xor(sum,not(xor(t7,Y)))
| xor(sum,xor(t7,not(Y))) = not(xor(sum,xor(t7,Y))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(sum,xor(t7,not(Y))))),bind(Y0,$fot(xor(sum,not(xor(t7,Y))))),bind(Z0,$fot(not(xor(sum,xor(t7,Y)))))]]) ).
cnf(refute_0_5825,plain,
( xor(sum,not(xor(t7,Y))) != not(xor(sum,xor(t7,Y)))
| xor(sum,xor(t7,not(Y))) = not(xor(sum,xor(t7,Y))) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(t7,not(Y))),xor(sum,not(xor(t7,Y)))) )],[refute_0_5823,refute_0_5824]) ).
cnf(refute_0_5826,plain,
xor(sum,xor(t7,not(Y))) = not(xor(sum,xor(t7,Y))),
inference(resolve,[$cnf( $equal(xor(sum,not(xor(t7,Y))),not(xor(sum,xor(t7,Y)))) )],[refute_0_5818,refute_0_5825]) ).
cnf(refute_0_5827,plain,
( xor(sum,xor(t7,not(Y))) != not(xor(sum,xor(t7,Y)))
| xor(sum,xor(t7,not(Y))) != xor(and(sum,t7),Y)
| not(xor(sum,xor(t7,Y))) = xor(and(sum,t7),Y) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,xor(t7,not(Y))),xor(and(sum,t7),Y)) ),[0],$fot(not(xor(sum,xor(t7,Y))))]]) ).
cnf(refute_0_5828,plain,
( xor(sum,xor(t7,not(Y))) != xor(and(sum,t7),Y)
| not(xor(sum,xor(t7,Y))) = xor(and(sum,t7),Y) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(t7,not(Y))),not(xor(sum,xor(t7,Y)))) )],[refute_0_5826,refute_0_5827]) ).
cnf(refute_0_5829,plain,
not(xor(sum,xor(t7,Y))) = xor(and(sum,t7),Y),
inference(resolve,[$cnf( $equal(xor(sum,xor(t7,not(Y))),xor(and(sum,t7),Y)) )],[refute_0_5817,refute_0_5828]) ).
cnf(refute_0_5830,plain,
not(xor(sum,xor(t7,xor(X_384,and(sum,t7))))) = xor(and(sum,t7),xor(X_384,and(sum,t7))),
inference(subst,[],[refute_0_5829:[bind(Y,$fot(xor(X_384,and(sum,t7))))]]) ).
cnf(refute_0_5831,plain,
xor(sum,not(xor(t7,xor(X_384,and(sum,t7))))) = not(xor(sum,xor(t7,xor(X_384,and(sum,t7))))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(sum)),bind(X_334,$fot(xor(t7,xor(X_384,and(sum,t7)))))]]) ).
cnf(refute_0_5832,plain,
( not(xor(sum,xor(t7,xor(X_384,and(sum,t7))))) != xor(and(sum,t7),xor(X_384,and(sum,t7)))
| xor(sum,not(xor(t7,xor(X_384,and(sum,t7))))) != not(xor(sum,xor(t7,xor(X_384,and(sum,t7)))))
| xor(sum,not(xor(t7,xor(X_384,and(sum,t7))))) = xor(and(sum,t7),xor(X_384,and(sum,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(sum,not(xor(t7,xor(X_384,and(sum,t7))))))),bind(Y0,$fot(not(xor(sum,xor(t7,xor(X_384,and(sum,t7))))))),bind(Z0,$fot(xor(and(sum,t7),xor(X_384,and(sum,t7)))))]]) ).
cnf(refute_0_5833,plain,
( not(xor(sum,xor(t7,xor(X_384,and(sum,t7))))) != xor(and(sum,t7),xor(X_384,and(sum,t7)))
| xor(sum,not(xor(t7,xor(X_384,and(sum,t7))))) = xor(and(sum,t7),xor(X_384,and(sum,t7))) ),
inference(resolve,[$cnf( $equal(xor(sum,not(xor(t7,xor(X_384,and(sum,t7))))),not(xor(sum,xor(t7,xor(X_384,and(sum,t7)))))) )],[refute_0_5831,refute_0_5832]) ).
cnf(refute_0_5834,plain,
xor(sum,not(xor(t7,xor(X_384,and(sum,t7))))) = xor(and(sum,t7),xor(X_384,and(sum,t7))),
inference(resolve,[$cnf( $equal(not(xor(sum,xor(t7,xor(X_384,and(sum,t7))))),xor(and(sum,t7),xor(X_384,and(sum,t7)))) )],[refute_0_5830,refute_0_5833]) ).
cnf(refute_0_5835,plain,
( X_384 != xor(sum,not(xor(t7,xor(X_384,and(sum,t7)))))
| xor(sum,not(xor(t7,xor(X_384,and(sum,t7))))) != xor(and(sum,t7),xor(X_384,and(sum,t7)))
| X_384 = xor(and(sum,t7),xor(X_384,and(sum,t7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_384,xor(and(sum,t7),xor(X_384,and(sum,t7)))) ),[0],$fot(xor(sum,not(xor(t7,xor(X_384,and(sum,t7))))))]]) ).
cnf(refute_0_5836,plain,
( X_384 != xor(sum,not(xor(t7,xor(X_384,and(sum,t7)))))
| X_384 = xor(and(sum,t7),xor(X_384,and(sum,t7))) ),
inference(resolve,[$cnf( $equal(xor(sum,not(xor(t7,xor(X_384,and(sum,t7))))),xor(and(sum,t7),xor(X_384,and(sum,t7)))) )],[refute_0_5834,refute_0_5835]) ).
cnf(refute_0_5837,plain,
( not(not(X_384)) != xor(sum,not(xor(t7,xor(X_384,and(sum,t7)))))
| X_384 = xor(and(sum,t7),xor(X_384,and(sum,t7))) ),
inference(resolve,[$cnf( $equal(X_384,xor(sum,not(xor(t7,xor(X_384,and(sum,t7)))))) )],[refute_0_5775,refute_0_5836]) ).
cnf(refute_0_5838,plain,
X_384 = xor(and(sum,t7),xor(X_384,and(sum,t7))),
inference(resolve,[$cnf( $equal(not(not(X_384)),xor(sum,not(xor(t7,xor(X_384,and(sum,t7)))))) )],[refute_0_5772,refute_0_5837]) ).
cnf(refute_0_5839,plain,
X_385 = xor(and(sum,t7),xor(X_385,and(sum,t7))),
inference(subst,[],[refute_0_5838:[bind(X_384,$fot(X_385))]]) ).
cnf(refute_0_5840,plain,
( X_385 != xor(and(sum,t7),xor(X_385,and(sum,t7)))
| xor(and(sum,t7),xor(X_385,and(sum,t7))) = X_385 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_385)),bind(Y0,$fot(xor(and(sum,t7),xor(X_385,and(sum,t7)))))]]) ).
cnf(refute_0_5841,plain,
xor(and(sum,t7),xor(X_385,and(sum,t7))) = X_385,
inference(resolve,[$cnf( $equal(X_385,xor(and(sum,t7),xor(X_385,and(sum,t7)))) )],[refute_0_5839,refute_0_5840]) ).
cnf(refute_0_5842,plain,
( not(xor(X_385,and(sum,t7))) != xor(sum,xor(t7,xor(and(sum,t7),xor(X_385,and(sum,t7)))))
| xor(and(sum,t7),xor(X_385,and(sum,t7))) != X_385
| not(xor(X_385,and(sum,t7))) = xor(sum,xor(t7,X_385)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(X_385,and(sum,t7))),xor(sum,xor(t7,xor(and(sum,t7),xor(X_385,and(sum,t7)))))) ),[1,1,1],$fot(X_385)]]) ).
cnf(refute_0_5843,plain,
( not(xor(X_385,and(sum,t7))) != xor(sum,xor(t7,xor(and(sum,t7),xor(X_385,and(sum,t7)))))
| not(xor(X_385,and(sum,t7))) = xor(sum,xor(t7,X_385)) ),
inference(resolve,[$cnf( $equal(xor(and(sum,t7),xor(X_385,and(sum,t7))),X_385) )],[refute_0_5841,refute_0_5842]) ).
cnf(refute_0_5844,plain,
not(xor(X_385,and(sum,t7))) = xor(sum,xor(t7,X_385)),
inference(resolve,[$cnf( $equal(not(xor(X_385,and(sum,t7))),xor(sum,xor(t7,xor(and(sum,t7),xor(X_385,and(sum,t7)))))) )],[refute_0_5744,refute_0_5843]) ).
cnf(refute_0_5845,plain,
not(xor(X_377,and(sum,t7))) = xor(X_377,not(and(sum,t7))),
inference(subst,[],[refute_0_1137:[bind(X_333,$fot(X_377)),bind(X_334,$fot(and(sum,t7)))]]) ).
cnf(refute_0_5846,plain,
( not(and(sum,t7)) != xor(sum,t7)
| not(xor(X_377,and(sum,t7))) != xor(X_377,not(and(sum,t7)))
| not(xor(X_377,and(sum,t7))) = xor(X_377,xor(sum,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(X_377,and(sum,t7))),xor(X_377,not(and(sum,t7)))) ),[1,1],$fot(xor(sum,t7))]]) ).
cnf(refute_0_5847,plain,
( not(xor(X_377,and(sum,t7))) != xor(X_377,not(and(sum,t7)))
| not(xor(X_377,and(sum,t7))) = xor(X_377,xor(sum,t7)) ),
inference(resolve,[$cnf( $equal(not(and(sum,t7)),xor(sum,t7)) )],[refute_0_5693,refute_0_5846]) ).
cnf(refute_0_5848,plain,
not(xor(X_377,and(sum,t7))) = xor(X_377,xor(sum,t7)),
inference(resolve,[$cnf( $equal(not(xor(X_377,and(sum,t7))),xor(X_377,not(and(sum,t7)))) )],[refute_0_5845,refute_0_5847]) ).
cnf(refute_0_5849,plain,
not(xor(X_385,and(sum,t7))) = xor(X_385,xor(sum,t7)),
inference(subst,[],[refute_0_5848:[bind(X_377,$fot(X_385))]]) ).
cnf(refute_0_5850,plain,
( not(xor(X_385,and(sum,t7))) != xor(X_385,xor(sum,t7))
| not(xor(X_385,and(sum,t7))) != xor(sum,xor(t7,X_385))
| xor(X_385,xor(sum,t7)) = xor(sum,xor(t7,X_385)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(X_385,and(sum,t7))),xor(sum,xor(t7,X_385))) ),[0],$fot(xor(X_385,xor(sum,t7)))]]) ).
cnf(refute_0_5851,plain,
( not(xor(X_385,and(sum,t7))) != xor(sum,xor(t7,X_385))
| xor(X_385,xor(sum,t7)) = xor(sum,xor(t7,X_385)) ),
inference(resolve,[$cnf( $equal(not(xor(X_385,and(sum,t7))),xor(X_385,xor(sum,t7))) )],[refute_0_5849,refute_0_5850]) ).
cnf(refute_0_5852,plain,
xor(X_385,xor(sum,t7)) = xor(sum,xor(t7,X_385)),
inference(resolve,[$cnf( $equal(not(xor(X_385,and(sum,t7))),xor(sum,xor(t7,X_385))) )],[refute_0_5844,refute_0_5851]) ).
cnf(refute_0_5853,plain,
xor(cin,xor(t5,X_336)) = xor(t7,X_336),
inference(subst,[],[refute_0_2486:[bind(X_335,$fot(X_336))]]) ).
cnf(refute_0_5854,plain,
xor(X_336,t5) = xor(t5,X_336),
inference(subst,[],[xor_commutative:[bind(X,$fot(X_336)),bind(Y,$fot(t5))]]) ).
cnf(refute_0_5855,plain,
( xor(X_336,t5) != xor(t5,X_336)
| xor(t5,X_336) = xor(X_336,t5) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X_336,t5))),bind(Y0,$fot(xor(t5,X_336)))]]) ).
cnf(refute_0_5856,plain,
xor(t5,X_336) = xor(X_336,t5),
inference(resolve,[$cnf( $equal(xor(X_336,t5),xor(t5,X_336)) )],[refute_0_5854,refute_0_5855]) ).
cnf(refute_0_5857,plain,
( xor(cin,xor(t5,X_336)) != xor(t7,X_336)
| xor(t5,X_336) != xor(X_336,t5)
| xor(cin,xor(X_336,t5)) = xor(t7,X_336) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t5,X_336)),xor(t7,X_336)) ),[0,1],$fot(xor(X_336,t5))]]) ).
cnf(refute_0_5858,plain,
( xor(cin,xor(t5,X_336)) != xor(t7,X_336)
| xor(cin,xor(X_336,t5)) = xor(t7,X_336) ),
inference(resolve,[$cnf( $equal(xor(t5,X_336),xor(X_336,t5)) )],[refute_0_5856,refute_0_5857]) ).
cnf(refute_0_5859,plain,
xor(cin,xor(X_336,t5)) = xor(t7,X_336),
inference(resolve,[$cnf( $equal(xor(cin,xor(t5,X_336)),xor(t7,X_336)) )],[refute_0_5853,refute_0_5858]) ).
cnf(refute_0_5860,plain,
xor(cin,xor(sum,t5)) = xor(t7,sum),
inference(subst,[],[refute_0_5859:[bind(X_336,$fot(sum))]]) ).
cnf(refute_0_5861,plain,
( xor(cin,xor(sum,t5)) != xor(t7,sum)
| xor(sum,t5) != xor(cin,t6)
| xor(cin,xor(cin,t6)) = xor(t7,sum) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(sum,t5)),xor(t7,sum)) ),[0,1],$fot(xor(cin,t6))]]) ).
cnf(refute_0_5862,plain,
( xor(cin,xor(sum,t5)) != xor(t7,sum)
| xor(cin,xor(cin,t6)) = xor(t7,sum) ),
inference(resolve,[$cnf( $equal(xor(sum,t5),xor(cin,t6)) )],[refute_0_5357,refute_0_5861]) ).
cnf(refute_0_5863,plain,
xor(cin,xor(cin,t6)) = xor(t7,sum),
inference(resolve,[$cnf( $equal(xor(cin,xor(sum,t5)),xor(t7,sum)) )],[refute_0_5860,refute_0_5862]) ).
cnf(refute_0_5864,plain,
( xor(cin,xor(cin,t6)) != t6
| xor(cin,xor(cin,t6)) != xor(t7,sum)
| t6 = xor(t7,sum) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(cin,t6)),xor(t7,sum)) ),[0],$fot(t6)]]) ).
cnf(refute_0_5865,plain,
( xor(cin,xor(cin,t6)) != xor(t7,sum)
| t6 = xor(t7,sum) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(cin,t6)),t6) )],[refute_0_1470,refute_0_5864]) ).
cnf(refute_0_5866,plain,
xor(X_333,xor(a,xor(b,cin))) = xor(xor(X_333,a),xor(b,cin)),
inference(subst,[],[xor_associative:[bind(X,$fot(X_333)),bind(Y,$fot(a)),bind(Z,$fot(xor(b,cin)))]]) ).
cnf(refute_0_5867,plain,
xor(xor(a,b),cin) = xor(a,xor(b,cin)),
inference(subst,[],[refute_0_526:[bind(X,$fot(a)),bind(Y,$fot(b)),bind(Z,$fot(cin))]]) ).
cnf(refute_0_5868,plain,
( xor(xor(a,b),cin) != sum_def
| xor(xor(a,b),cin) != xor(a,xor(b,cin))
| xor(a,xor(b,cin)) = sum_def ),
introduced(tautology,[equality,[$cnf( $equal(xor(xor(a,b),cin),sum_def) ),[0],$fot(xor(a,xor(b,cin)))]]) ).
cnf(refute_0_5869,plain,
( xor(xor(a,b),cin) != sum_def
| xor(a,xor(b,cin)) = sum_def ),
inference(resolve,[$cnf( $equal(xor(xor(a,b),cin),xor(a,xor(b,cin))) )],[refute_0_5867,refute_0_5868]) ).
cnf(refute_0_5870,plain,
xor(a,xor(b,cin)) = sum_def,
inference(resolve,[$cnf( $equal(xor(xor(a,b),cin),sum_def) )],[sum_def,refute_0_5869]) ).
cnf(refute_0_5871,plain,
( xor(X_333,xor(a,xor(b,cin))) != xor(xor(X_333,a),xor(b,cin))
| xor(a,xor(b,cin)) != sum_def
| xor(X_333,sum_def) = xor(xor(X_333,a),xor(b,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,xor(a,xor(b,cin))),xor(xor(X_333,a),xor(b,cin))) ),[0,1],$fot(sum_def)]]) ).
cnf(refute_0_5872,plain,
( xor(X_333,xor(a,xor(b,cin))) != xor(xor(X_333,a),xor(b,cin))
| xor(X_333,sum_def) = xor(xor(X_333,a),xor(b,cin)) ),
inference(resolve,[$cnf( $equal(xor(a,xor(b,cin)),sum_def) )],[refute_0_5870,refute_0_5871]) ).
cnf(refute_0_5873,plain,
xor(X_333,sum_def) = xor(xor(X_333,a),xor(b,cin)),
inference(resolve,[$cnf( $equal(xor(X_333,xor(a,xor(b,cin))),xor(xor(X_333,a),xor(b,cin))) )],[refute_0_5866,refute_0_5872]) ).
cnf(refute_0_5874,plain,
xor(cin,xor(X_333,b)) = xor(b,xor(cin,X_333)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(b)),bind(X_333,$fot(cin)),bind(X_334,$fot(X_333))]]) ).
cnf(refute_0_5875,plain,
xor(xor(cin,X_333),b) = xor(cin,xor(X_333,b)),
inference(subst,[],[refute_0_526:[bind(X,$fot(cin)),bind(Y,$fot(X_333)),bind(Z,$fot(b))]]) ).
cnf(refute_0_5876,plain,
( xor(cin,xor(X_333,b)) != xor(b,xor(cin,X_333))
| xor(xor(cin,X_333),b) != xor(cin,xor(X_333,b))
| xor(xor(cin,X_333),b) = xor(b,xor(cin,X_333)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(cin,X_333),b))),bind(Y0,$fot(xor(cin,xor(X_333,b)))),bind(Z0,$fot(xor(b,xor(cin,X_333))))]]) ).
cnf(refute_0_5877,plain,
( xor(cin,xor(X_333,b)) != xor(b,xor(cin,X_333))
| xor(xor(cin,X_333),b) = xor(b,xor(cin,X_333)) ),
inference(resolve,[$cnf( $equal(xor(xor(cin,X_333),b),xor(cin,xor(X_333,b))) )],[refute_0_5875,refute_0_5876]) ).
cnf(refute_0_5878,plain,
xor(xor(cin,X_333),b) = xor(b,xor(cin,X_333)),
inference(resolve,[$cnf( $equal(xor(cin,xor(X_333,b)),xor(b,xor(cin,X_333))) )],[refute_0_5874,refute_0_5877]) ).
cnf(refute_0_5879,plain,
xor(a,xor(xor(cin,X_333),b)) = xor(a,xor(xor(cin,X_333),b)),
introduced(tautology,[refl,[$fot(xor(a,xor(xor(cin,X_333),b)))]]) ).
cnf(refute_0_5880,plain,
( xor(a,xor(xor(cin,X_333),b)) != xor(a,xor(xor(cin,X_333),b))
| xor(xor(cin,X_333),b) != xor(b,xor(cin,X_333))
| xor(a,xor(xor(cin,X_333),b)) = xor(a,xor(b,xor(cin,X_333))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(xor(cin,X_333),b)),xor(a,xor(xor(cin,X_333),b))) ),[1,1],$fot(xor(b,xor(cin,X_333)))]]) ).
cnf(refute_0_5881,plain,
( xor(xor(cin,X_333),b) != xor(b,xor(cin,X_333))
| xor(a,xor(xor(cin,X_333),b)) = xor(a,xor(b,xor(cin,X_333))) ),
inference(resolve,[$cnf( $equal(xor(a,xor(xor(cin,X_333),b)),xor(a,xor(xor(cin,X_333),b))) )],[refute_0_5879,refute_0_5880]) ).
cnf(refute_0_5882,plain,
xor(a,xor(xor(cin,X_333),b)) = xor(a,xor(b,xor(cin,X_333))),
inference(resolve,[$cnf( $equal(xor(xor(cin,X_333),b),xor(b,xor(cin,X_333))) )],[refute_0_5878,refute_0_5881]) ).
cnf(refute_0_5883,plain,
xor(b,xor(a,xor(cin,X_333))) = xor(a,xor(xor(cin,X_333),b)),
inference(subst,[],[refute_0_1451:[bind(X,$fot(b)),bind(X_333,$fot(a)),bind(X_334,$fot(xor(cin,X_333)))]]) ).
cnf(refute_0_5884,plain,
( xor(a,xor(xor(cin,X_333),b)) != xor(a,xor(b,xor(cin,X_333)))
| xor(b,xor(a,xor(cin,X_333))) != xor(a,xor(xor(cin,X_333),b))
| xor(b,xor(a,xor(cin,X_333))) = xor(a,xor(b,xor(cin,X_333))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(b,xor(a,xor(cin,X_333))))),bind(Y0,$fot(xor(a,xor(xor(cin,X_333),b)))),bind(Z0,$fot(xor(a,xor(b,xor(cin,X_333)))))]]) ).
cnf(refute_0_5885,plain,
( xor(a,xor(xor(cin,X_333),b)) != xor(a,xor(b,xor(cin,X_333)))
| xor(b,xor(a,xor(cin,X_333))) = xor(a,xor(b,xor(cin,X_333))) ),
inference(resolve,[$cnf( $equal(xor(b,xor(a,xor(cin,X_333))),xor(a,xor(xor(cin,X_333),b))) )],[refute_0_5883,refute_0_5884]) ).
cnf(refute_0_5886,plain,
xor(b,xor(a,xor(cin,X_333))) = xor(a,xor(b,xor(cin,X_333))),
inference(resolve,[$cnf( $equal(xor(a,xor(xor(cin,X_333),b)),xor(a,xor(b,xor(cin,X_333)))) )],[refute_0_5882,refute_0_5885]) ).
cnf(refute_0_5887,plain,
xor(cin,xor(X_333,a)) = xor(a,xor(cin,X_333)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(a)),bind(X_333,$fot(cin)),bind(X_334,$fot(X_333))]]) ).
cnf(refute_0_5888,plain,
xor(b,xor(cin,xor(X_333,a))) = xor(b,xor(cin,xor(X_333,a))),
introduced(tautology,[refl,[$fot(xor(b,xor(cin,xor(X_333,a))))]]) ).
cnf(refute_0_5889,plain,
( xor(b,xor(cin,xor(X_333,a))) != xor(b,xor(cin,xor(X_333,a)))
| xor(cin,xor(X_333,a)) != xor(a,xor(cin,X_333))
| xor(b,xor(cin,xor(X_333,a))) = xor(b,xor(a,xor(cin,X_333))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,xor(cin,xor(X_333,a))),xor(b,xor(cin,xor(X_333,a)))) ),[1,1],$fot(xor(a,xor(cin,X_333)))]]) ).
cnf(refute_0_5890,plain,
( xor(cin,xor(X_333,a)) != xor(a,xor(cin,X_333))
| xor(b,xor(cin,xor(X_333,a))) = xor(b,xor(a,xor(cin,X_333))) ),
inference(resolve,[$cnf( $equal(xor(b,xor(cin,xor(X_333,a))),xor(b,xor(cin,xor(X_333,a)))) )],[refute_0_5888,refute_0_5889]) ).
cnf(refute_0_5891,plain,
xor(b,xor(cin,xor(X_333,a))) = xor(b,xor(a,xor(cin,X_333))),
inference(resolve,[$cnf( $equal(xor(cin,xor(X_333,a)),xor(a,xor(cin,X_333))) )],[refute_0_5887,refute_0_5890]) ).
cnf(refute_0_5892,plain,
( xor(b,xor(a,xor(cin,X_333))) != xor(a,xor(b,xor(cin,X_333)))
| xor(b,xor(cin,xor(X_333,a))) != xor(b,xor(a,xor(cin,X_333)))
| xor(b,xor(cin,xor(X_333,a))) = xor(a,xor(b,xor(cin,X_333))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(b,xor(cin,xor(X_333,a))))),bind(Y0,$fot(xor(b,xor(a,xor(cin,X_333))))),bind(Z0,$fot(xor(a,xor(b,xor(cin,X_333)))))]]) ).
cnf(refute_0_5893,plain,
( xor(b,xor(a,xor(cin,X_333))) != xor(a,xor(b,xor(cin,X_333)))
| xor(b,xor(cin,xor(X_333,a))) = xor(a,xor(b,xor(cin,X_333))) ),
inference(resolve,[$cnf( $equal(xor(b,xor(cin,xor(X_333,a))),xor(b,xor(a,xor(cin,X_333)))) )],[refute_0_5891,refute_0_5892]) ).
cnf(refute_0_5894,plain,
xor(b,xor(cin,xor(X_333,a))) = xor(a,xor(b,xor(cin,X_333))),
inference(resolve,[$cnf( $equal(xor(b,xor(a,xor(cin,X_333))),xor(a,xor(b,xor(cin,X_333)))) )],[refute_0_5886,refute_0_5893]) ).
cnf(refute_0_5895,plain,
xor(cin,xor(xor(X_333,a),b)) = xor(b,xor(cin,xor(X_333,a))),
inference(subst,[],[refute_0_1453:[bind(X,$fot(b)),bind(X_333,$fot(cin)),bind(X_334,$fot(xor(X_333,a)))]]) ).
cnf(refute_0_5896,plain,
xor(xor(X_333,a),xor(b,cin)) = xor(cin,xor(xor(X_333,a),b)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(cin)),bind(X_333,$fot(xor(X_333,a))),bind(X_334,$fot(b))]]) ).
cnf(refute_0_5897,plain,
( xor(cin,xor(xor(X_333,a),b)) != xor(b,xor(cin,xor(X_333,a)))
| xor(xor(X_333,a),xor(b,cin)) != xor(cin,xor(xor(X_333,a),b))
| xor(xor(X_333,a),xor(b,cin)) = xor(b,xor(cin,xor(X_333,a))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X_333,a),xor(b,cin)))),bind(Y0,$fot(xor(cin,xor(xor(X_333,a),b)))),bind(Z0,$fot(xor(b,xor(cin,xor(X_333,a)))))]]) ).
cnf(refute_0_5898,plain,
( xor(cin,xor(xor(X_333,a),b)) != xor(b,xor(cin,xor(X_333,a)))
| xor(xor(X_333,a),xor(b,cin)) = xor(b,xor(cin,xor(X_333,a))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,a),xor(b,cin)),xor(cin,xor(xor(X_333,a),b))) )],[refute_0_5896,refute_0_5897]) ).
cnf(refute_0_5899,plain,
xor(xor(X_333,a),xor(b,cin)) = xor(b,xor(cin,xor(X_333,a))),
inference(resolve,[$cnf( $equal(xor(cin,xor(xor(X_333,a),b)),xor(b,xor(cin,xor(X_333,a)))) )],[refute_0_5895,refute_0_5898]) ).
cnf(refute_0_5900,plain,
( xor(b,xor(cin,xor(X_333,a))) != xor(a,xor(b,xor(cin,X_333)))
| xor(xor(X_333,a),xor(b,cin)) != xor(b,xor(cin,xor(X_333,a)))
| xor(xor(X_333,a),xor(b,cin)) = xor(a,xor(b,xor(cin,X_333))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X_333,a),xor(b,cin)))),bind(Y0,$fot(xor(b,xor(cin,xor(X_333,a))))),bind(Z0,$fot(xor(a,xor(b,xor(cin,X_333)))))]]) ).
cnf(refute_0_5901,plain,
( xor(b,xor(cin,xor(X_333,a))) != xor(a,xor(b,xor(cin,X_333)))
| xor(xor(X_333,a),xor(b,cin)) = xor(a,xor(b,xor(cin,X_333))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,a),xor(b,cin)),xor(b,xor(cin,xor(X_333,a)))) )],[refute_0_5899,refute_0_5900]) ).
cnf(refute_0_5902,plain,
xor(xor(X_333,a),xor(b,cin)) = xor(a,xor(b,xor(cin,X_333))),
inference(resolve,[$cnf( $equal(xor(b,xor(cin,xor(X_333,a))),xor(a,xor(b,xor(cin,X_333)))) )],[refute_0_5894,refute_0_5901]) ).
cnf(refute_0_5903,plain,
( xor(X_333,sum_def) != xor(xor(X_333,a),xor(b,cin))
| xor(xor(X_333,a),xor(b,cin)) != xor(a,xor(b,xor(cin,X_333)))
| xor(X_333,sum_def) = xor(a,xor(b,xor(cin,X_333))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(X_333,sum_def),xor(a,xor(b,xor(cin,X_333)))) ),[0],$fot(xor(xor(X_333,a),xor(b,cin)))]]) ).
cnf(refute_0_5904,plain,
( xor(X_333,sum_def) != xor(xor(X_333,a),xor(b,cin))
| xor(X_333,sum_def) = xor(a,xor(b,xor(cin,X_333))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,a),xor(b,cin)),xor(a,xor(b,xor(cin,X_333)))) )],[refute_0_5902,refute_0_5903]) ).
cnf(refute_0_5905,plain,
xor(X_333,sum_def) = xor(a,xor(b,xor(cin,X_333))),
inference(resolve,[$cnf( $equal(xor(X_333,sum_def),xor(xor(X_333,a),xor(b,cin))) )],[refute_0_5873,refute_0_5904]) ).
cnf(refute_0_5906,plain,
( xor(cin,t4) != sum
| xor(t4,cin) != xor(cin,t4)
| xor(t4,cin) = sum ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t4,cin))),bind(Y0,$fot(xor(cin,t4))),bind(Z0,$fot(sum))]]) ).
cnf(refute_0_5907,plain,
( xor(cin,t4) != sum
| xor(t4,cin) = sum ),
inference(resolve,[$cnf( $equal(xor(t4,cin),xor(cin,t4)) )],[refute_0_4703,refute_0_5906]) ).
cnf(refute_0_5908,plain,
xor(t4,cin) = sum,
inference(resolve,[$cnf( $equal(xor(cin,t4),sum) )],[refute_0_4709,refute_0_5907]) ).
cnf(refute_0_5909,plain,
xor(a,xor(b,Z)) = xor(xor(a,b),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(a)),bind(Y,$fot(b))]]) ).
cnf(refute_0_5910,plain,
xor(b,xor(t1,t2)) = xor(t3,t2),
inference(subst,[],[refute_0_1233:[bind(X_335,$fot(t2))]]) ).
cnf(refute_0_5911,plain,
( xor(b,xor(t1,t2)) != xor(t3,t2)
| xor(t1,t2) != a
| xor(b,a) = xor(t3,t2) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,xor(t1,t2)),xor(t3,t2)) ),[0,1],$fot(a)]]) ).
cnf(refute_0_5912,plain,
( xor(b,xor(t1,t2)) != xor(t3,t2)
| xor(b,a) = xor(t3,t2) ),
inference(resolve,[$cnf( $equal(xor(t1,t2),a) )],[refute_0_2674,refute_0_5911]) ).
cnf(refute_0_5913,plain,
xor(b,a) = xor(t3,t2),
inference(resolve,[$cnf( $equal(xor(b,xor(t1,t2)),xor(t3,t2)) )],[refute_0_5910,refute_0_5912]) ).
cnf(refute_0_5914,plain,
xor(b,a) = xor(a,b),
inference(subst,[],[refute_0_1913:[bind(X,$fot(a)),bind(Y,$fot(b))]]) ).
cnf(refute_0_5915,plain,
( xor(b,a) != xor(a,b)
| xor(b,a) != xor(t3,t2)
| xor(a,b) = xor(t3,t2) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,a),xor(t3,t2)) ),[0],$fot(xor(a,b))]]) ).
cnf(refute_0_5916,plain,
( xor(b,a) != xor(t3,t2)
| xor(a,b) = xor(t3,t2) ),
inference(resolve,[$cnf( $equal(xor(b,a),xor(a,b)) )],[refute_0_5914,refute_0_5915]) ).
cnf(refute_0_5917,plain,
not(not(xor(t2,t3))) = xor(t2,t3),
inference(subst,[],[not_involution:[bind(X,$fot(xor(t2,t3)))]]) ).
cnf(refute_0_5918,plain,
xor(t3,t2) = xor(t2,t3),
inference(subst,[],[refute_0_1913:[bind(X,$fot(t2)),bind(Y,$fot(t3))]]) ).
cnf(refute_0_5919,plain,
not(xor(t3,t2)) = not(xor(t3,t2)),
introduced(tautology,[refl,[$fot(not(xor(t3,t2)))]]) ).
cnf(refute_0_5920,plain,
( not(xor(t3,t2)) != not(xor(t3,t2))
| xor(t3,t2) != xor(t2,t3)
| not(xor(t3,t2)) = not(xor(t2,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t3,t2)),not(xor(t3,t2))) ),[1,0],$fot(xor(t2,t3))]]) ).
cnf(refute_0_5921,plain,
( xor(t3,t2) != xor(t2,t3)
| not(xor(t3,t2)) = not(xor(t2,t3)) ),
inference(resolve,[$cnf( $equal(not(xor(t3,t2)),not(xor(t3,t2))) )],[refute_0_5919,refute_0_5920]) ).
cnf(refute_0_5922,plain,
not(xor(t3,t2)) = not(xor(t2,t3)),
inference(resolve,[$cnf( $equal(xor(t3,t2),xor(t2,t3)) )],[refute_0_5918,refute_0_5921]) ).
cnf(refute_0_5923,plain,
xor(t3,not(t2)) = not(xor(t3,t2)),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t3)),bind(X_334,$fot(t2))]]) ).
cnf(refute_0_5924,plain,
( not(xor(t3,t2)) != not(xor(t2,t3))
| xor(t3,not(t2)) != not(xor(t3,t2))
| xor(t3,not(t2)) = not(xor(t2,t3)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t3,not(t2)))),bind(Y0,$fot(not(xor(t3,t2)))),bind(Z0,$fot(not(xor(t2,t3))))]]) ).
cnf(refute_0_5925,plain,
( not(xor(t3,t2)) != not(xor(t2,t3))
| xor(t3,not(t2)) = not(xor(t2,t3)) ),
inference(resolve,[$cnf( $equal(xor(t3,not(t2)),not(xor(t3,t2))) )],[refute_0_5923,refute_0_5924]) ).
cnf(refute_0_5926,plain,
xor(t3,not(t2)) = not(xor(t2,t3)),
inference(resolve,[$cnf( $equal(not(xor(t3,t2)),not(xor(t2,t3))) )],[refute_0_5922,refute_0_5925]) ).
cnf(refute_0_5927,plain,
( not(t4) != xor(t3,not(t2))
| xor(t3,not(t2)) != not(xor(t2,t3))
| not(t4) = not(xor(t2,t3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(t4),not(xor(t2,t3))) ),[0],$fot(xor(t3,not(t2)))]]) ).
cnf(refute_0_5928,plain,
( not(t4) != xor(t3,not(t2))
| not(t4) = not(xor(t2,t3)) ),
inference(resolve,[$cnf( $equal(xor(t3,not(t2)),not(xor(t2,t3))) )],[refute_0_5926,refute_0_5927]) ).
cnf(refute_0_5929,plain,
not(t4) = not(xor(t2,t3)),
inference(resolve,[$cnf( $equal(not(t4),xor(t3,not(t2))) )],[refute_0_1727,refute_0_5928]) ).
cnf(refute_0_5930,plain,
( not(t4) != not(xor(t2,t3))
| not(xor(t2,t3)) = not(t4) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t4))),bind(Y0,$fot(not(xor(t2,t3))))]]) ).
cnf(refute_0_5931,plain,
not(xor(t2,t3)) = not(t4),
inference(resolve,[$cnf( $equal(not(t4),not(xor(t2,t3))) )],[refute_0_5929,refute_0_5930]) ).
cnf(refute_0_5932,plain,
( not(not(xor(t2,t3))) != xor(t2,t3)
| not(xor(t2,t3)) != not(t4)
| not(not(t4)) = xor(t2,t3) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(xor(t2,t3))),xor(t2,t3)) ),[0,0],$fot(not(t4))]]) ).
cnf(refute_0_5933,plain,
( not(not(xor(t2,t3))) != xor(t2,t3)
| not(not(t4)) = xor(t2,t3) ),
inference(resolve,[$cnf( $equal(not(xor(t2,t3)),not(t4)) )],[refute_0_5931,refute_0_5932]) ).
cnf(refute_0_5934,plain,
not(not(t4)) = xor(t2,t3),
inference(resolve,[$cnf( $equal(not(not(xor(t2,t3))),xor(t2,t3)) )],[refute_0_5917,refute_0_5933]) ).
cnf(refute_0_5935,plain,
( not(not(t4)) != t4
| not(not(t4)) != xor(t2,t3)
| t4 = xor(t2,t3) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(t4)),xor(t2,t3)) ),[0],$fot(t4)]]) ).
cnf(refute_0_5936,plain,
( not(not(t4)) != xor(t2,t3)
| t4 = xor(t2,t3) ),
inference(resolve,[$cnf( $equal(not(not(t4)),t4) )],[refute_0_639,refute_0_5935]) ).
cnf(refute_0_5937,plain,
t4 = xor(t2,t3),
inference(resolve,[$cnf( $equal(not(not(t4)),xor(t2,t3)) )],[refute_0_5934,refute_0_5936]) ).
cnf(refute_0_5938,plain,
( t4 != xor(t2,t3)
| xor(t2,t3) = t4 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(t4)),bind(Y0,$fot(xor(t2,t3)))]]) ).
cnf(refute_0_5939,plain,
xor(t2,t3) = t4,
inference(resolve,[$cnf( $equal(t4,xor(t2,t3)) )],[refute_0_5937,refute_0_5938]) ).
cnf(refute_0_5940,plain,
( xor(t2,t3) != t4
| xor(t3,t2) != xor(t2,t3)
| xor(t3,t2) = t4 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t3,t2))),bind(Y0,$fot(xor(t2,t3))),bind(Z0,$fot(t4))]]) ).
cnf(refute_0_5941,plain,
( xor(t2,t3) != t4
| xor(t3,t2) = t4 ),
inference(resolve,[$cnf( $equal(xor(t3,t2),xor(t2,t3)) )],[refute_0_5918,refute_0_5940]) ).
cnf(refute_0_5942,plain,
xor(t3,t2) = t4,
inference(resolve,[$cnf( $equal(xor(t2,t3),t4) )],[refute_0_5939,refute_0_5941]) ).
cnf(refute_0_5943,plain,
( xor(a,b) != xor(t3,t2)
| xor(t3,t2) != t4
| xor(a,b) = t4 ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(a,b),t4) ),[0],$fot(xor(t3,t2))]]) ).
cnf(refute_0_5944,plain,
( xor(a,b) != xor(t3,t2)
| xor(a,b) = t4 ),
inference(resolve,[$cnf( $equal(xor(t3,t2),t4) )],[refute_0_5942,refute_0_5943]) ).
cnf(refute_0_5945,plain,
( xor(b,a) != xor(t3,t2)
| xor(a,b) = t4 ),
inference(resolve,[$cnf( $equal(xor(a,b),xor(t3,t2)) )],[refute_0_5916,refute_0_5944]) ).
cnf(refute_0_5946,plain,
xor(a,b) = t4,
inference(resolve,[$cnf( $equal(xor(b,a),xor(t3,t2)) )],[refute_0_5913,refute_0_5945]) ).
cnf(refute_0_5947,plain,
( xor(a,b) != t4
| xor(a,xor(b,Z)) != xor(xor(a,b),Z)
| xor(a,xor(b,Z)) = xor(t4,Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(b,Z)),xor(xor(a,b),Z)) ),[1,0],$fot(t4)]]) ).
cnf(refute_0_5948,plain,
( xor(a,xor(b,Z)) != xor(xor(a,b),Z)
| xor(a,xor(b,Z)) = xor(t4,Z) ),
inference(resolve,[$cnf( $equal(xor(a,b),t4) )],[refute_0_5946,refute_0_5947]) ).
cnf(refute_0_5949,plain,
xor(a,xor(b,Z)) = xor(t4,Z),
inference(resolve,[$cnf( $equal(xor(a,xor(b,Z)),xor(xor(a,b),Z)) )],[refute_0_5909,refute_0_5948]) ).
cnf(refute_0_5950,plain,
xor(a,xor(b,cin)) = xor(t4,cin),
inference(subst,[],[refute_0_5949:[bind(Z,$fot(cin))]]) ).
cnf(refute_0_5951,plain,
( xor(a,xor(b,cin)) != xor(t4,cin)
| xor(t4,cin) != sum
| xor(a,xor(b,cin)) = sum ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(a,xor(b,cin)))),bind(Y0,$fot(xor(t4,cin))),bind(Z0,$fot(sum))]]) ).
cnf(refute_0_5952,plain,
( xor(t4,cin) != sum
| xor(a,xor(b,cin)) = sum ),
inference(resolve,[$cnf( $equal(xor(a,xor(b,cin)),xor(t4,cin)) )],[refute_0_5950,refute_0_5951]) ).
cnf(refute_0_5953,plain,
xor(a,xor(b,cin)) = sum,
inference(resolve,[$cnf( $equal(xor(t4,cin),sum) )],[refute_0_5908,refute_0_5952]) ).
cnf(refute_0_5954,plain,
( xor(a,xor(b,cin)) != sum
| xor(a,xor(b,cin)) != sum_def
| sum = sum_def ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(b,cin)),sum_def) ),[0],$fot(sum)]]) ).
cnf(refute_0_5955,plain,
( xor(a,xor(b,cin)) != sum_def
| sum = sum_def ),
inference(resolve,[$cnf( $equal(xor(a,xor(b,cin)),sum) )],[refute_0_5953,refute_0_5954]) ).
cnf(refute_0_5956,plain,
sum = sum_def,
inference(resolve,[$cnf( $equal(xor(a,xor(b,cin)),sum_def) )],[refute_0_5870,refute_0_5955]) ).
cnf(refute_0_5957,plain,
( sum != sum_def
| sum_def = sum ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(sum)),bind(Y0,$fot(sum_def))]]) ).
cnf(refute_0_5958,plain,
sum_def = sum,
inference(resolve,[$cnf( $equal(sum,sum_def) )],[refute_0_5956,refute_0_5957]) ).
cnf(refute_0_5959,plain,
xor(X_333,sum_def) = xor(X_333,sum_def),
introduced(tautology,[refl,[$fot(xor(X_333,sum_def))]]) ).
cnf(refute_0_5960,plain,
( sum_def != sum
| xor(X_333,sum_def) != xor(X_333,sum_def)
| xor(X_333,sum_def) = xor(X_333,sum) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,sum_def),xor(X_333,sum_def)) ),[1,1],$fot(sum)]]) ).
cnf(refute_0_5961,plain,
( sum_def != sum
| xor(X_333,sum_def) = xor(X_333,sum) ),
inference(resolve,[$cnf( $equal(xor(X_333,sum_def),xor(X_333,sum_def)) )],[refute_0_5959,refute_0_5960]) ).
cnf(refute_0_5962,plain,
xor(X_333,sum_def) = xor(X_333,sum),
inference(resolve,[$cnf( $equal(sum_def,sum) )],[refute_0_5958,refute_0_5961]) ).
cnf(refute_0_5963,plain,
( xor(X_333,sum_def) != xor(X_333,sum)
| xor(X_333,sum_def) != xor(a,xor(b,xor(cin,X_333)))
| xor(X_333,sum) = xor(a,xor(b,xor(cin,X_333))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,sum_def),xor(a,xor(b,xor(cin,X_333)))) ),[0],$fot(xor(X_333,sum))]]) ).
cnf(refute_0_5964,plain,
( xor(X_333,sum_def) != xor(a,xor(b,xor(cin,X_333)))
| xor(X_333,sum) = xor(a,xor(b,xor(cin,X_333))) ),
inference(resolve,[$cnf( $equal(xor(X_333,sum_def),xor(X_333,sum)) )],[refute_0_5962,refute_0_5963]) ).
cnf(refute_0_5965,plain,
xor(cin,xor(t4,Z)) = xor(xor(cin,t4),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(cin)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_5966,plain,
( xor(cin,t4) != sum
| xor(cin,xor(t4,Z)) != xor(xor(cin,t4),Z)
| xor(cin,xor(t4,Z)) = xor(sum,Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t4,Z)),xor(xor(cin,t4),Z)) ),[1,0],$fot(sum)]]) ).
cnf(refute_0_5967,plain,
( xor(cin,xor(t4,Z)) != xor(xor(cin,t4),Z)
| xor(cin,xor(t4,Z)) = xor(sum,Z) ),
inference(resolve,[$cnf( $equal(xor(cin,t4),sum) )],[refute_0_4709,refute_0_5966]) ).
cnf(refute_0_5968,plain,
xor(cin,xor(t4,Z)) = xor(sum,Z),
inference(resolve,[$cnf( $equal(xor(cin,xor(t4,Z)),xor(xor(cin,t4),Z)) )],[refute_0_5965,refute_0_5967]) ).
cnf(refute_0_5969,plain,
xor(cin,xor(t4,X_333)) = xor(sum,X_333),
inference(subst,[],[refute_0_5968:[bind(Z,$fot(X_333))]]) ).
cnf(refute_0_5970,plain,
xor(t4,xor(cin,X_333)) = xor(cin,xor(t4,X_333)),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(cin)),bind(X_334,$fot(t4)),bind(X_335,$fot(X_333))]]) ).
cnf(refute_0_5971,plain,
( xor(cin,xor(t4,X_333)) != xor(sum,X_333)
| xor(t4,xor(cin,X_333)) != xor(cin,xor(t4,X_333))
| xor(t4,xor(cin,X_333)) = xor(sum,X_333) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t4,xor(cin,X_333)))),bind(Y0,$fot(xor(cin,xor(t4,X_333)))),bind(Z0,$fot(xor(sum,X_333)))]]) ).
cnf(refute_0_5972,plain,
( xor(cin,xor(t4,X_333)) != xor(sum,X_333)
| xor(t4,xor(cin,X_333)) = xor(sum,X_333) ),
inference(resolve,[$cnf( $equal(xor(t4,xor(cin,X_333)),xor(cin,xor(t4,X_333))) )],[refute_0_5970,refute_0_5971]) ).
cnf(refute_0_5973,plain,
xor(t4,xor(cin,X_333)) = xor(sum,X_333),
inference(resolve,[$cnf( $equal(xor(cin,xor(t4,X_333)),xor(sum,X_333)) )],[refute_0_5969,refute_0_5972]) ).
cnf(refute_0_5974,plain,
xor(a,xor(b,xor(cin,X_333))) = xor(t4,xor(cin,X_333)),
inference(subst,[],[refute_0_5949:[bind(Z,$fot(xor(cin,X_333)))]]) ).
cnf(refute_0_5975,plain,
( xor(a,xor(b,xor(cin,X_333))) != xor(t4,xor(cin,X_333))
| xor(t4,xor(cin,X_333)) != xor(sum,X_333)
| xor(a,xor(b,xor(cin,X_333))) = xor(sum,X_333) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(a,xor(b,xor(cin,X_333))))),bind(Y0,$fot(xor(t4,xor(cin,X_333)))),bind(Z0,$fot(xor(sum,X_333)))]]) ).
cnf(refute_0_5976,plain,
( xor(t4,xor(cin,X_333)) != xor(sum,X_333)
| xor(a,xor(b,xor(cin,X_333))) = xor(sum,X_333) ),
inference(resolve,[$cnf( $equal(xor(a,xor(b,xor(cin,X_333))),xor(t4,xor(cin,X_333))) )],[refute_0_5974,refute_0_5975]) ).
cnf(refute_0_5977,plain,
xor(a,xor(b,xor(cin,X_333))) = xor(sum,X_333),
inference(resolve,[$cnf( $equal(xor(t4,xor(cin,X_333)),xor(sum,X_333)) )],[refute_0_5973,refute_0_5976]) ).
cnf(refute_0_5978,plain,
( xor(X_333,sum) != xor(a,xor(b,xor(cin,X_333)))
| xor(a,xor(b,xor(cin,X_333))) != xor(sum,X_333)
| xor(X_333,sum) = xor(sum,X_333) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(X_333,sum),xor(sum,X_333)) ),[0],$fot(xor(a,xor(b,xor(cin,X_333))))]]) ).
cnf(refute_0_5979,plain,
( xor(X_333,sum) != xor(a,xor(b,xor(cin,X_333)))
| xor(X_333,sum) = xor(sum,X_333) ),
inference(resolve,[$cnf( $equal(xor(a,xor(b,xor(cin,X_333))),xor(sum,X_333)) )],[refute_0_5977,refute_0_5978]) ).
cnf(refute_0_5980,plain,
( xor(X_333,sum_def) != xor(a,xor(b,xor(cin,X_333)))
| xor(X_333,sum) = xor(sum,X_333) ),
inference(resolve,[$cnf( $equal(xor(X_333,sum),xor(a,xor(b,xor(cin,X_333)))) )],[refute_0_5964,refute_0_5979]) ).
cnf(refute_0_5981,plain,
xor(X_333,sum) = xor(sum,X_333),
inference(resolve,[$cnf( $equal(xor(X_333,sum_def),xor(a,xor(b,xor(cin,X_333)))) )],[refute_0_5905,refute_0_5980]) ).
cnf(refute_0_5982,plain,
xor(t7,sum) = xor(sum,t7),
inference(subst,[],[refute_0_5981:[bind(X_333,$fot(t7))]]) ).
cnf(refute_0_5983,plain,
( t6 != xor(t7,sum)
| xor(t7,sum) != xor(sum,t7)
| t6 = xor(sum,t7) ),
introduced(tautology,[equality,[$cnf( ~ $equal(t6,xor(sum,t7)) ),[0],$fot(xor(t7,sum))]]) ).
cnf(refute_0_5984,plain,
( t6 != xor(t7,sum)
| t6 = xor(sum,t7) ),
inference(resolve,[$cnf( $equal(xor(t7,sum),xor(sum,t7)) )],[refute_0_5982,refute_0_5983]) ).
cnf(refute_0_5985,plain,
( xor(cin,xor(cin,t6)) != xor(t7,sum)
| t6 = xor(sum,t7) ),
inference(resolve,[$cnf( $equal(t6,xor(t7,sum)) )],[refute_0_5865,refute_0_5984]) ).
cnf(refute_0_5986,plain,
t6 = xor(sum,t7),
inference(resolve,[$cnf( $equal(xor(cin,xor(cin,t6)),xor(t7,sum)) )],[refute_0_5863,refute_0_5985]) ).
cnf(refute_0_5987,plain,
( t6 != xor(sum,t7)
| xor(sum,t7) = t6 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(t6)),bind(Y0,$fot(xor(sum,t7)))]]) ).
cnf(refute_0_5988,plain,
xor(sum,t7) = t6,
inference(resolve,[$cnf( $equal(t6,xor(sum,t7)) )],[refute_0_5986,refute_0_5987]) ).
cnf(refute_0_5989,plain,
xor(X_385,xor(sum,t7)) = xor(X_385,xor(sum,t7)),
introduced(tautology,[refl,[$fot(xor(X_385,xor(sum,t7)))]]) ).
cnf(refute_0_5990,plain,
( xor(X_385,xor(sum,t7)) != xor(X_385,xor(sum,t7))
| xor(sum,t7) != t6
| xor(X_385,xor(sum,t7)) = xor(X_385,t6) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_385,xor(sum,t7)),xor(X_385,xor(sum,t7))) ),[1,1],$fot(t6)]]) ).
cnf(refute_0_5991,plain,
( xor(sum,t7) != t6
| xor(X_385,xor(sum,t7)) = xor(X_385,t6) ),
inference(resolve,[$cnf( $equal(xor(X_385,xor(sum,t7)),xor(X_385,xor(sum,t7))) )],[refute_0_5989,refute_0_5990]) ).
cnf(refute_0_5992,plain,
xor(X_385,xor(sum,t7)) = xor(X_385,t6),
inference(resolve,[$cnf( $equal(xor(sum,t7),t6) )],[refute_0_5988,refute_0_5991]) ).
cnf(refute_0_5993,plain,
( xor(X_385,xor(sum,t7)) != xor(X_385,t6)
| xor(X_385,xor(sum,t7)) != xor(sum,xor(t7,X_385))
| xor(X_385,t6) = xor(sum,xor(t7,X_385)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_385,xor(sum,t7)),xor(sum,xor(t7,X_385))) ),[0],$fot(xor(X_385,t6))]]) ).
cnf(refute_0_5994,plain,
( xor(X_385,xor(sum,t7)) != xor(sum,xor(t7,X_385))
| xor(X_385,t6) = xor(sum,xor(t7,X_385)) ),
inference(resolve,[$cnf( $equal(xor(X_385,xor(sum,t7)),xor(X_385,t6)) )],[refute_0_5992,refute_0_5993]) ).
cnf(refute_0_5995,plain,
xor(X_385,t6) = xor(sum,xor(t7,X_385)),
inference(resolve,[$cnf( $equal(xor(X_385,xor(sum,t7)),xor(sum,xor(t7,X_385))) )],[refute_0_5852,refute_0_5994]) ).
cnf(refute_0_5996,plain,
( xor(X_385,t6) != xor(sum,xor(t7,X_385))
| xor(sum,xor(t7,X_385)) = xor(X_385,t6) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X_385,t6))),bind(Y0,$fot(xor(sum,xor(t7,X_385))))]]) ).
cnf(refute_0_5997,plain,
xor(sum,xor(t7,X_385)) = xor(X_385,t6),
inference(resolve,[$cnf( $equal(xor(X_385,t6),xor(sum,xor(t7,X_385))) )],[refute_0_5995,refute_0_5996]) ).
cnf(refute_0_5998,plain,
xor(sum,xor(t7,or(t1,and(t3,t7)))) = xor(or(t1,and(t3,t7)),t6),
inference(subst,[],[refute_0_5997:[bind(X_385,$fot(or(t1,and(t3,t7))))]]) ).
cnf(refute_0_5999,plain,
( xor(or(t1,and(t3,t7)),t6) != xor(t6,or(t1,and(t3,t7)))
| xor(sum,xor(t7,or(t1,and(t3,t7)))) != xor(or(t1,and(t3,t7)),t6)
| xor(sum,xor(t7,or(t1,and(t3,t7)))) = xor(t6,or(t1,and(t3,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(sum,xor(t7,or(t1,and(t3,t7)))))),bind(Y0,$fot(xor(or(t1,and(t3,t7)),t6))),bind(Z0,$fot(xor(t6,or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_6000,plain,
( xor(or(t1,and(t3,t7)),t6) != xor(t6,or(t1,and(t3,t7)))
| xor(sum,xor(t7,or(t1,and(t3,t7)))) = xor(t6,or(t1,and(t3,t7))) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(t7,or(t1,and(t3,t7)))),xor(or(t1,and(t3,t7)),t6)) )],[refute_0_5998,refute_0_5999]) ).
cnf(refute_0_6001,plain,
xor(sum,xor(t7,or(t1,and(t3,t7)))) = xor(t6,or(t1,and(t3,t7))),
inference(resolve,[$cnf( $equal(xor(or(t1,and(t3,t7)),t6),xor(t6,or(t1,and(t3,t7)))) )],[refute_0_5667,refute_0_6000]) ).
cnf(refute_0_6002,plain,
( and(sum,not(xor(t7,or(t1,and(t3,t7))))) != xor(sum,xor(t7,or(t1,and(t3,t7))))
| xor(sum,xor(t7,or(t1,and(t3,t7)))) != xor(t6,or(t1,and(t3,t7)))
| and(sum,not(xor(t7,or(t1,and(t3,t7))))) = xor(t6,or(t1,and(t3,t7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(sum,not(xor(t7,or(t1,and(t3,t7))))),xor(t6,or(t1,and(t3,t7)))) ),[0],$fot(xor(sum,xor(t7,or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_6003,plain,
( and(sum,not(xor(t7,or(t1,and(t3,t7))))) != xor(sum,xor(t7,or(t1,and(t3,t7))))
| and(sum,not(xor(t7,or(t1,and(t3,t7))))) = xor(t6,or(t1,and(t3,t7))) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(t7,or(t1,and(t3,t7)))),xor(t6,or(t1,and(t3,t7)))) )],[refute_0_6001,refute_0_6002]) ).
cnf(refute_0_6004,plain,
( or(and(sum,not(xor(t7,or(t1,and(t3,t7))))),ll0) != xor(sum,xor(t7,or(t1,and(t3,t7))))
| and(sum,not(xor(t7,or(t1,and(t3,t7))))) = xor(t6,or(t1,and(t3,t7))) ),
inference(resolve,[$cnf( $equal(and(sum,not(xor(t7,or(t1,and(t3,t7))))),xor(sum,xor(t7,or(t1,and(t3,t7))))) )],[refute_0_5666,refute_0_6003]) ).
cnf(refute_0_6005,plain,
and(sum,not(xor(t7,or(t1,and(t3,t7))))) = xor(t6,or(t1,and(t3,t7))),
inference(resolve,[$cnf( $equal(or(and(sum,not(xor(t7,or(t1,and(t3,t7))))),ll0),xor(sum,xor(t7,or(t1,and(t3,t7))))) )],[refute_0_5663,refute_0_6004]) ).
cnf(refute_0_6006,plain,
and(sum,or(a,t4)) = and(sum,or(a,t4)),
introduced(tautology,[refl,[$fot(and(sum,or(a,t4)))]]) ).
cnf(refute_0_6007,plain,
( and(sum,or(a,t4)) != and(sum,or(a,t4))
| or(a,t4) != or(a,b)
| and(sum,or(a,t4)) = and(sum,or(a,b)) ),
introduced(tautology,[equality,[$cnf( $equal(and(sum,or(a,t4)),and(sum,or(a,t4))) ),[1,1],$fot(or(a,b))]]) ).
cnf(refute_0_6008,plain,
( or(a,t4) != or(a,b)
| and(sum,or(a,t4)) = and(sum,or(a,b)) ),
inference(resolve,[$cnf( $equal(and(sum,or(a,t4)),and(sum,or(a,t4))) )],[refute_0_6006,refute_0_6007]) ).
cnf(refute_0_6009,plain,
and(sum,or(a,t4)) = and(sum,or(a,b)),
inference(resolve,[$cnf( $equal(or(a,t4),or(a,b)) )],[refute_0_3071,refute_0_6008]) ).
cnf(refute_0_6010,plain,
and(sum,or(X_753,t7)) = or(and(sum,X_753),and(sum,t7)),
inference(subst,[],[or_distributive:[bind(X,$fot(sum)),bind(Y,$fot(X_753)),bind(Z,$fot(t7))]]) ).
cnf(refute_0_6011,plain,
not(xor(sum,t7)) = not(xor(sum,t7)),
introduced(tautology,[refl,[$fot(not(xor(sum,t7)))]]) ).
cnf(refute_0_6012,plain,
( not(xor(sum,t7)) != not(xor(sum,t7))
| xor(sum,t7) != t6
| not(xor(sum,t7)) = not(t6) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(sum,t7)),not(xor(sum,t7))) ),[1,0],$fot(t6)]]) ).
cnf(refute_0_6013,plain,
( xor(sum,t7) != t6
| not(xor(sum,t7)) = not(t6) ),
inference(resolve,[$cnf( $equal(not(xor(sum,t7)),not(xor(sum,t7))) )],[refute_0_6011,refute_0_6012]) ).
cnf(refute_0_6014,plain,
not(xor(sum,t7)) = not(t6),
inference(resolve,[$cnf( $equal(xor(sum,t7),t6) )],[refute_0_5988,refute_0_6013]) ).
cnf(refute_0_6015,plain,
( not(xor(sum,t7)) != and(sum,t7)
| not(xor(sum,t7)) != not(t6)
| not(t6) = and(sum,t7) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(sum,t7)),and(sum,t7)) ),[0],$fot(not(t6))]]) ).
cnf(refute_0_6016,plain,
( not(xor(sum,t7)) != and(sum,t7)
| not(t6) = and(sum,t7) ),
inference(resolve,[$cnf( $equal(not(xor(sum,t7)),not(t6)) )],[refute_0_6014,refute_0_6015]) ).
cnf(refute_0_6017,plain,
not(t6) = and(sum,t7),
inference(resolve,[$cnf( $equal(not(xor(sum,t7)),and(sum,t7)) )],[refute_0_5696,refute_0_6016]) ).
cnf(refute_0_6018,plain,
( not(t6) != and(sum,t7)
| and(sum,t7) = not(t6) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t6))),bind(Y0,$fot(and(sum,t7)))]]) ).
cnf(refute_0_6019,plain,
and(sum,t7) = not(t6),
inference(resolve,[$cnf( $equal(not(t6),and(sum,t7)) )],[refute_0_6017,refute_0_6018]) ).
cnf(refute_0_6020,plain,
( and(sum,or(X_753,t7)) != or(and(sum,X_753),and(sum,t7))
| and(sum,t7) != not(t6)
| and(sum,or(X_753,t7)) = or(and(sum,X_753),not(t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(sum,or(X_753,t7)),or(and(sum,X_753),and(sum,t7))) ),[1,1],$fot(not(t6))]]) ).
cnf(refute_0_6021,plain,
( and(sum,or(X_753,t7)) != or(and(sum,X_753),and(sum,t7))
| and(sum,or(X_753,t7)) = or(and(sum,X_753),not(t6)) ),
inference(resolve,[$cnf( $equal(and(sum,t7),not(t6)) )],[refute_0_6019,refute_0_6020]) ).
cnf(refute_0_6022,plain,
and(sum,or(X_753,t7)) = or(and(sum,X_753),not(t6)),
inference(resolve,[$cnf( $equal(and(sum,or(X_753,t7)),or(and(sum,X_753),and(sum,t7))) )],[refute_0_6010,refute_0_6021]) ).
cnf(refute_0_6023,plain,
and(sum,or(X_753,t4)) = or(and(sum,X_753),and(sum,t4)),
inference(subst,[],[or_distributive:[bind(X,$fot(sum)),bind(Y,$fot(X_753)),bind(Z,$fot(t4))]]) ).
cnf(refute_0_6024,plain,
and(t4,xor(t5,xor(cin,t6))) = and(t4,xor(t5,xor(cin,t6))),
introduced(tautology,[refl,[$fot(and(t4,xor(t5,xor(cin,t6))))]]) ).
cnf(refute_0_6025,plain,
( and(t4,xor(t5,xor(cin,t6))) != and(t4,xor(t5,xor(cin,t6)))
| xor(t5,xor(cin,t6)) != xor(t6,t7)
| and(t4,xor(t5,xor(cin,t6))) = and(t4,xor(t6,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,xor(t5,xor(cin,t6))),and(t4,xor(t5,xor(cin,t6)))) ),[1,1],$fot(xor(t6,t7))]]) ).
cnf(refute_0_6026,plain,
( xor(t5,xor(cin,t6)) != xor(t6,t7)
| and(t4,xor(t5,xor(cin,t6))) = and(t4,xor(t6,t7)) ),
inference(resolve,[$cnf( $equal(and(t4,xor(t5,xor(cin,t6))),and(t4,xor(t5,xor(cin,t6)))) )],[refute_0_6024,refute_0_6025]) ).
cnf(refute_0_6027,plain,
and(t4,xor(t5,xor(cin,t6))) = and(t4,xor(t6,t7)),
inference(resolve,[$cnf( $equal(xor(t5,xor(cin,t6)),xor(t6,t7)) )],[refute_0_2494,refute_0_6026]) ).
cnf(refute_0_6028,plain,
( and(t4,xor(t5,xor(cin,t6))) != and(t4,xor(t6,t7))
| not(t6) != and(t4,xor(t5,xor(cin,t6)))
| not(t6) = and(t4,xor(t6,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(t6),and(t4,xor(t5,xor(cin,t6)))) ),[1],$fot(and(t4,xor(t6,t7)))]]) ).
cnf(refute_0_6029,plain,
( not(t6) != and(t4,xor(t5,xor(cin,t6)))
| not(t6) = and(t4,xor(t6,t7)) ),
inference(resolve,[$cnf( $equal(and(t4,xor(t5,xor(cin,t6))),and(t4,xor(t6,t7))) )],[refute_0_6027,refute_0_6028]) ).
cnf(refute_0_6030,plain,
not(t6) = and(t4,xor(t6,t7)),
inference(resolve,[$cnf( $equal(not(t6),and(t4,xor(t5,xor(cin,t6)))) )],[refute_0_2433,refute_0_6029]) ).
cnf(refute_0_6031,plain,
and(t4,sum) = and(sum,t4),
inference(subst,[],[refute_0_116:[bind(X,$fot(sum)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_6032,plain,
and(t4,xor(t6,t7)) = and(t4,xor(t6,t7)),
introduced(tautology,[refl,[$fot(and(t4,xor(t6,t7)))]]) ).
cnf(refute_0_6033,plain,
( and(t4,xor(t6,t7)) != and(t4,xor(t6,t7))
| xor(t6,t7) != sum
| and(t4,xor(t6,t7)) = and(t4,sum) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,xor(t6,t7)),and(t4,xor(t6,t7))) ),[1,1],$fot(sum)]]) ).
cnf(refute_0_6034,plain,
( xor(t6,t7) != sum
| and(t4,xor(t6,t7)) = and(t4,sum) ),
inference(resolve,[$cnf( $equal(and(t4,xor(t6,t7)),and(t4,xor(t6,t7))) )],[refute_0_6032,refute_0_6033]) ).
cnf(refute_0_6035,plain,
and(t4,xor(t6,t7)) = and(t4,sum),
inference(resolve,[$cnf( $equal(xor(t6,t7),sum) )],[refute_0_1154,refute_0_6034]) ).
cnf(refute_0_6036,plain,
( and(t4,sum) != and(sum,t4)
| and(t4,xor(t6,t7)) != and(t4,sum)
| and(t4,xor(t6,t7)) = and(sum,t4) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t4,xor(t6,t7)))),bind(Y0,$fot(and(t4,sum))),bind(Z0,$fot(and(sum,t4)))]]) ).
cnf(refute_0_6037,plain,
( and(t4,sum) != and(sum,t4)
| and(t4,xor(t6,t7)) = and(sum,t4) ),
inference(resolve,[$cnf( $equal(and(t4,xor(t6,t7)),and(t4,sum)) )],[refute_0_6035,refute_0_6036]) ).
cnf(refute_0_6038,plain,
and(t4,xor(t6,t7)) = and(sum,t4),
inference(resolve,[$cnf( $equal(and(t4,sum),and(sum,t4)) )],[refute_0_6031,refute_0_6037]) ).
cnf(refute_0_6039,plain,
( and(t4,xor(t6,t7)) != and(sum,t4)
| not(t6) != and(t4,xor(t6,t7))
| not(t6) = and(sum,t4) ),
introduced(tautology,[equality,[$cnf( $equal(not(t6),and(t4,xor(t6,t7))) ),[1],$fot(and(sum,t4))]]) ).
cnf(refute_0_6040,plain,
( not(t6) != and(t4,xor(t6,t7))
| not(t6) = and(sum,t4) ),
inference(resolve,[$cnf( $equal(and(t4,xor(t6,t7)),and(sum,t4)) )],[refute_0_6038,refute_0_6039]) ).
cnf(refute_0_6041,plain,
not(t6) = and(sum,t4),
inference(resolve,[$cnf( $equal(not(t6),and(t4,xor(t6,t7))) )],[refute_0_6030,refute_0_6040]) ).
cnf(refute_0_6042,plain,
( not(t6) != and(sum,t4)
| and(sum,t4) = not(t6) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t6))),bind(Y0,$fot(and(sum,t4)))]]) ).
cnf(refute_0_6043,plain,
and(sum,t4) = not(t6),
inference(resolve,[$cnf( $equal(not(t6),and(sum,t4)) )],[refute_0_6041,refute_0_6042]) ).
cnf(refute_0_6044,plain,
( and(sum,or(X_753,t4)) != or(and(sum,X_753),and(sum,t4))
| and(sum,t4) != not(t6)
| and(sum,or(X_753,t4)) = or(and(sum,X_753),not(t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(sum,or(X_753,t4)),or(and(sum,X_753),and(sum,t4))) ),[1,1],$fot(not(t6))]]) ).
cnf(refute_0_6045,plain,
( and(sum,or(X_753,t4)) != or(and(sum,X_753),and(sum,t4))
| and(sum,or(X_753,t4)) = or(and(sum,X_753),not(t6)) ),
inference(resolve,[$cnf( $equal(and(sum,t4),not(t6)) )],[refute_0_6043,refute_0_6044]) ).
cnf(refute_0_6046,plain,
and(sum,or(X_753,t4)) = or(and(sum,X_753),not(t6)),
inference(resolve,[$cnf( $equal(and(sum,or(X_753,t4)),or(and(sum,X_753),and(sum,t4))) )],[refute_0_6023,refute_0_6045]) ).
cnf(refute_0_6047,plain,
and(sum,or(X_753,not(cin))) = or(and(sum,X_753),and(sum,not(cin))),
inference(subst,[],[or_distributive:[bind(X,$fot(sum)),bind(Y,$fot(X_753)),bind(Z,$fot(not(cin)))]]) ).
cnf(refute_0_6048,plain,
and(not(cin),not(xor(t6,and(cin,sum)))) = and(t5,and(t7,not(xor(t6,and(cin,sum))))),
inference(subst,[],[refute_0_4419:[bind(Z,$fot(not(xor(t6,and(cin,sum)))))]]) ).
cnf(refute_0_6049,plain,
or(and(t7,not(xor(t6,and(cin,sum)))),and(not(t7),xor(t6,and(cin,sum)))) = xor(t7,xor(t6,and(cin,sum))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t7)),bind(Y,$fot(xor(t6,and(cin,sum))))]]) ).
cnf(refute_0_6050,plain,
and(or(t7,not(xor(t6,and(cin,sum)))),not(or(not(xor(t6,and(cin,sum))),t7))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(not(xor(t6,and(cin,sum))))),bind(X_28,$fot(t7))]]) ).
cnf(refute_0_6051,plain,
or(or(t7,and(cin,sum)),Z) = or(t7,or(and(cin,sum),Z)),
inference(subst,[],[or_associative:[bind(X,$fot(t7)),bind(Y,$fot(and(cin,sum)))]]) ).
cnf(refute_0_6052,plain,
or(or(t7,not(cin)),X_39) = or(t7,or(not(cin),X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(t7)),bind(Y,$fot(not(cin))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_6053,plain,
( or(or(t7,not(cin)),X_39) != or(t7,or(not(cin),X_39))
| or(t7,not(cin)) != t7
| or(t7,X_39) = or(t7,or(not(cin),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t7,not(cin)),X_39),or(t7,or(not(cin),X_39))) ),[0,0],$fot(t7)]]) ).
cnf(refute_0_6054,plain,
( or(or(t7,not(cin)),X_39) != or(t7,or(not(cin),X_39))
| or(t7,X_39) = or(t7,or(not(cin),X_39)) ),
inference(resolve,[$cnf( $equal(or(t7,not(cin)),t7) )],[refute_0_748,refute_0_6053]) ).
cnf(refute_0_6055,plain,
or(t7,X_39) = or(t7,or(not(cin),X_39)),
inference(resolve,[$cnf( $equal(or(or(t7,not(cin)),X_39),or(t7,or(not(cin),X_39))) )],[refute_0_6052,refute_0_6054]) ).
cnf(refute_0_6056,plain,
or(t7,or(X_38,not(or(not(cin),X_38)))) = or(t7,or(not(cin),or(X_38,not(or(not(cin),X_38))))),
inference(subst,[],[refute_0_6055:[bind(X_39,$fot(or(X_38,not(or(not(cin),X_38)))))]]) ).
cnf(refute_0_6057,plain,
or(not(cin),or(X_38,not(or(not(cin),X_38)))) = ll1,
inference(subst,[],[refute_0_137:[bind(X_37,$fot(not(cin)))]]) ).
cnf(refute_0_6058,plain,
( or(not(cin),or(X_38,not(or(not(cin),X_38)))) != ll1
| or(t7,or(X_38,not(or(not(cin),X_38)))) != or(t7,or(not(cin),or(X_38,not(or(not(cin),X_38)))))
| or(t7,or(X_38,not(or(not(cin),X_38)))) = or(t7,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,or(X_38,not(or(not(cin),X_38)))),or(t7,or(not(cin),or(X_38,not(or(not(cin),X_38)))))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_6059,plain,
( or(t7,or(X_38,not(or(not(cin),X_38)))) != or(t7,or(not(cin),or(X_38,not(or(not(cin),X_38)))))
| or(t7,or(X_38,not(or(not(cin),X_38)))) = or(t7,ll1) ),
inference(resolve,[$cnf( $equal(or(not(cin),or(X_38,not(or(not(cin),X_38)))),ll1) )],[refute_0_6057,refute_0_6058]) ).
cnf(refute_0_6060,plain,
or(t7,or(X_38,not(or(not(cin),X_38)))) = or(t7,ll1),
inference(resolve,[$cnf( $equal(or(t7,or(X_38,not(or(not(cin),X_38)))),or(t7,or(not(cin),or(X_38,not(or(not(cin),X_38)))))) )],[refute_0_6056,refute_0_6059]) ).
cnf(refute_0_6061,plain,
not(or(not(cin),X_38)) = and(cin,not(X_38)),
inference(subst,[],[refute_0_159:[bind(X,$fot(cin)),bind(X_26,$fot(X_38))]]) ).
cnf(refute_0_6062,plain,
or(X_38,not(or(not(cin),X_38))) = or(X_38,not(or(not(cin),X_38))),
introduced(tautology,[refl,[$fot(or(X_38,not(or(not(cin),X_38))))]]) ).
cnf(refute_0_6063,plain,
( not(or(not(cin),X_38)) != and(cin,not(X_38))
| or(X_38,not(or(not(cin),X_38))) != or(X_38,not(or(not(cin),X_38)))
| or(X_38,not(or(not(cin),X_38))) = or(X_38,and(cin,not(X_38))) ),
introduced(tautology,[equality,[$cnf( $equal(or(X_38,not(or(not(cin),X_38))),or(X_38,not(or(not(cin),X_38)))) ),[1,1],$fot(and(cin,not(X_38)))]]) ).
cnf(refute_0_6064,plain,
( not(or(not(cin),X_38)) != and(cin,not(X_38))
| or(X_38,not(or(not(cin),X_38))) = or(X_38,and(cin,not(X_38))) ),
inference(resolve,[$cnf( $equal(or(X_38,not(or(not(cin),X_38))),or(X_38,not(or(not(cin),X_38)))) )],[refute_0_6062,refute_0_6063]) ).
cnf(refute_0_6065,plain,
or(X_38,not(or(not(cin),X_38))) = or(X_38,and(cin,not(X_38))),
inference(resolve,[$cnf( $equal(not(or(not(cin),X_38)),and(cin,not(X_38))) )],[refute_0_6061,refute_0_6064]) ).
cnf(refute_0_6066,plain,
or(t7,or(X_38,not(or(not(cin),X_38)))) = or(t7,or(X_38,not(or(not(cin),X_38)))),
introduced(tautology,[refl,[$fot(or(t7,or(X_38,not(or(not(cin),X_38)))))]]) ).
cnf(refute_0_6067,plain,
( or(X_38,not(or(not(cin),X_38))) != or(X_38,and(cin,not(X_38)))
| or(t7,or(X_38,not(or(not(cin),X_38)))) != or(t7,or(X_38,not(or(not(cin),X_38))))
| or(t7,or(X_38,not(or(not(cin),X_38)))) = or(t7,or(X_38,and(cin,not(X_38)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,or(X_38,not(or(not(cin),X_38)))),or(t7,or(X_38,not(or(not(cin),X_38))))) ),[1,1],$fot(or(X_38,and(cin,not(X_38))))]]) ).
cnf(refute_0_6068,plain,
( or(X_38,not(or(not(cin),X_38))) != or(X_38,and(cin,not(X_38)))
| or(t7,or(X_38,not(or(not(cin),X_38)))) = or(t7,or(X_38,and(cin,not(X_38)))) ),
inference(resolve,[$cnf( $equal(or(t7,or(X_38,not(or(not(cin),X_38)))),or(t7,or(X_38,not(or(not(cin),X_38))))) )],[refute_0_6066,refute_0_6067]) ).
cnf(refute_0_6069,plain,
or(t7,or(X_38,not(or(not(cin),X_38)))) = or(t7,or(X_38,and(cin,not(X_38)))),
inference(resolve,[$cnf( $equal(or(X_38,not(or(not(cin),X_38))),or(X_38,and(cin,not(X_38)))) )],[refute_0_6065,refute_0_6068]) ).
cnf(refute_0_6070,plain,
( or(t7,or(X_38,not(or(not(cin),X_38)))) != or(t7,ll1)
| or(t7,or(X_38,not(or(not(cin),X_38)))) != or(t7,or(X_38,and(cin,not(X_38))))
| or(t7,or(X_38,and(cin,not(X_38)))) = or(t7,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,or(X_38,not(or(not(cin),X_38)))),or(t7,ll1)) ),[0],$fot(or(t7,or(X_38,and(cin,not(X_38)))))]]) ).
cnf(refute_0_6071,plain,
( or(t7,or(X_38,not(or(not(cin),X_38)))) != or(t7,ll1)
| or(t7,or(X_38,and(cin,not(X_38)))) = or(t7,ll1) ),
inference(resolve,[$cnf( $equal(or(t7,or(X_38,not(or(not(cin),X_38)))),or(t7,or(X_38,and(cin,not(X_38))))) )],[refute_0_6069,refute_0_6070]) ).
cnf(refute_0_6072,plain,
or(t7,ll1) = ll1,
inference(subst,[],[or_boundedness:[bind(X,$fot(t7))]]) ).
cnf(refute_0_6073,plain,
( or(t7,ll1) != ll1
| or(t7,or(X_38,and(cin,not(X_38)))) != or(t7,ll1)
| or(t7,or(X_38,and(cin,not(X_38)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,or(X_38,and(cin,not(X_38)))),or(t7,ll1)) ),[1],$fot(ll1)]]) ).
cnf(refute_0_6074,plain,
( or(t7,or(X_38,and(cin,not(X_38)))) != or(t7,ll1)
| or(t7,or(X_38,and(cin,not(X_38)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t7,ll1),ll1) )],[refute_0_6072,refute_0_6073]) ).
cnf(refute_0_6075,plain,
( or(t7,or(X_38,not(or(not(cin),X_38)))) != or(t7,ll1)
| or(t7,or(X_38,and(cin,not(X_38)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t7,or(X_38,and(cin,not(X_38)))),or(t7,ll1)) )],[refute_0_6071,refute_0_6074]) ).
cnf(refute_0_6076,plain,
or(t7,or(X_38,and(cin,not(X_38)))) = ll1,
inference(resolve,[$cnf( $equal(or(t7,or(X_38,not(or(not(cin),X_38)))),or(t7,ll1)) )],[refute_0_6060,refute_0_6075]) ).
cnf(refute_0_6077,plain,
or(t7,or(not(sum),and(cin,not(not(sum))))) = ll1,
inference(subst,[],[refute_0_6076:[bind(X_38,$fot(not(sum)))]]) ).
cnf(refute_0_6078,plain,
or(or(t7,not(sum)),X_39) = or(t7,or(not(sum),X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(t7)),bind(Y,$fot(not(sum))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_6079,plain,
( or(or(t7,not(sum)),X_39) != or(t7,or(not(sum),X_39))
| or(t7,not(sum)) != t7
| or(t7,X_39) = or(t7,or(not(sum),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t7,not(sum)),X_39),or(t7,or(not(sum),X_39))) ),[0,0],$fot(t7)]]) ).
cnf(refute_0_6080,plain,
( or(or(t7,not(sum)),X_39) != or(t7,or(not(sum),X_39))
| or(t7,X_39) = or(t7,or(not(sum),X_39)) ),
inference(resolve,[$cnf( $equal(or(t7,not(sum)),t7) )],[refute_0_1042,refute_0_6079]) ).
cnf(refute_0_6081,plain,
or(t7,X_39) = or(t7,or(not(sum),X_39)),
inference(resolve,[$cnf( $equal(or(or(t7,not(sum)),X_39),or(t7,or(not(sum),X_39))) )],[refute_0_6078,refute_0_6080]) ).
cnf(refute_0_6082,plain,
or(t7,and(cin,not(not(sum)))) = or(t7,or(not(sum),and(cin,not(not(sum))))),
inference(subst,[],[refute_0_6081:[bind(X_39,$fot(and(cin,not(not(sum)))))]]) ).
cnf(refute_0_6083,plain,
( or(t7,and(cin,not(not(sum)))) != or(t7,or(not(sum),and(cin,not(not(sum)))))
| or(t7,or(not(sum),and(cin,not(not(sum))))) = or(t7,and(cin,not(not(sum)))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(t7,and(cin,not(not(sum)))))),bind(Y0,$fot(or(t7,or(not(sum),and(cin,not(not(sum)))))))]]) ).
cnf(refute_0_6084,plain,
or(t7,or(not(sum),and(cin,not(not(sum))))) = or(t7,and(cin,not(not(sum)))),
inference(resolve,[$cnf( $equal(or(t7,and(cin,not(not(sum)))),or(t7,or(not(sum),and(cin,not(not(sum)))))) )],[refute_0_6082,refute_0_6083]) ).
cnf(refute_0_6085,plain,
( or(t7,or(not(sum),and(cin,not(not(sum))))) != ll1
| or(t7,or(not(sum),and(cin,not(not(sum))))) != or(t7,and(cin,not(not(sum))))
| or(t7,and(cin,not(not(sum)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,or(not(sum),and(cin,not(not(sum))))),ll1) ),[0],$fot(or(t7,and(cin,not(not(sum)))))]]) ).
cnf(refute_0_6086,plain,
( or(t7,or(not(sum),and(cin,not(not(sum))))) != ll1
| or(t7,and(cin,not(not(sum)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t7,or(not(sum),and(cin,not(not(sum))))),or(t7,and(cin,not(not(sum))))) )],[refute_0_6084,refute_0_6085]) ).
cnf(refute_0_6087,plain,
or(t7,and(cin,not(not(sum)))) = ll1,
inference(resolve,[$cnf( $equal(or(t7,or(not(sum),and(cin,not(not(sum))))),ll1) )],[refute_0_6077,refute_0_6086]) ).
cnf(refute_0_6088,plain,
and(cin,not(not(sum))) = and(cin,not(not(sum))),
introduced(tautology,[refl,[$fot(and(cin,not(not(sum))))]]) ).
cnf(refute_0_6089,plain,
( and(cin,not(not(sum))) != and(cin,not(not(sum)))
| not(not(sum)) != sum
| and(cin,not(not(sum))) = and(cin,sum) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,not(not(sum))),and(cin,not(not(sum)))) ),[1,1],$fot(sum)]]) ).
cnf(refute_0_6090,plain,
( not(not(sum)) != sum
| and(cin,not(not(sum))) = and(cin,sum) ),
inference(resolve,[$cnf( $equal(and(cin,not(not(sum))),and(cin,not(not(sum)))) )],[refute_0_6088,refute_0_6089]) ).
cnf(refute_0_6091,plain,
and(cin,not(not(sum))) = and(cin,sum),
inference(resolve,[$cnf( $equal(not(not(sum)),sum) )],[refute_0_1149,refute_0_6090]) ).
cnf(refute_0_6092,plain,
or(t7,and(cin,not(not(sum)))) = or(t7,and(cin,not(not(sum)))),
introduced(tautology,[refl,[$fot(or(t7,and(cin,not(not(sum)))))]]) ).
cnf(refute_0_6093,plain,
( and(cin,not(not(sum))) != and(cin,sum)
| or(t7,and(cin,not(not(sum)))) != or(t7,and(cin,not(not(sum))))
| or(t7,and(cin,not(not(sum)))) = or(t7,and(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,and(cin,not(not(sum)))),or(t7,and(cin,not(not(sum))))) ),[1,1],$fot(and(cin,sum))]]) ).
cnf(refute_0_6094,plain,
( and(cin,not(not(sum))) != and(cin,sum)
| or(t7,and(cin,not(not(sum)))) = or(t7,and(cin,sum)) ),
inference(resolve,[$cnf( $equal(or(t7,and(cin,not(not(sum)))),or(t7,and(cin,not(not(sum))))) )],[refute_0_6092,refute_0_6093]) ).
cnf(refute_0_6095,plain,
or(t7,and(cin,not(not(sum)))) = or(t7,and(cin,sum)),
inference(resolve,[$cnf( $equal(and(cin,not(not(sum))),and(cin,sum)) )],[refute_0_6091,refute_0_6094]) ).
cnf(refute_0_6096,plain,
( or(t7,and(cin,not(not(sum)))) != ll1
| or(t7,and(cin,not(not(sum)))) != or(t7,and(cin,sum))
| or(t7,and(cin,sum)) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,and(cin,not(not(sum)))),ll1) ),[0],$fot(or(t7,and(cin,sum)))]]) ).
cnf(refute_0_6097,plain,
( or(t7,and(cin,not(not(sum)))) != ll1
| or(t7,and(cin,sum)) = ll1 ),
inference(resolve,[$cnf( $equal(or(t7,and(cin,not(not(sum)))),or(t7,and(cin,sum))) )],[refute_0_6095,refute_0_6096]) ).
cnf(refute_0_6098,plain,
or(t7,and(cin,sum)) = ll1,
inference(resolve,[$cnf( $equal(or(t7,and(cin,not(not(sum)))),ll1) )],[refute_0_6087,refute_0_6097]) ).
cnf(refute_0_6099,plain,
( or(or(t7,and(cin,sum)),Z) != or(t7,or(and(cin,sum),Z))
| or(t7,and(cin,sum)) != ll1
| or(ll1,Z) = or(t7,or(and(cin,sum),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t7,and(cin,sum)),Z),or(t7,or(and(cin,sum),Z))) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_6100,plain,
( or(or(t7,and(cin,sum)),Z) != or(t7,or(and(cin,sum),Z))
| or(ll1,Z) = or(t7,or(and(cin,sum),Z)) ),
inference(resolve,[$cnf( $equal(or(t7,and(cin,sum)),ll1) )],[refute_0_6098,refute_0_6099]) ).
cnf(refute_0_6101,plain,
or(ll1,Z) = or(t7,or(and(cin,sum),Z)),
inference(resolve,[$cnf( $equal(or(or(t7,and(cin,sum)),Z),or(t7,or(and(cin,sum),Z))) )],[refute_0_6051,refute_0_6100]) ).
cnf(refute_0_6102,plain,
or(ll1,Z) = ll1,
inference(subst,[],[refute_0_546:[bind(X_14,$fot(Z))]]) ).
cnf(refute_0_6103,plain,
( or(ll1,Z) != ll1
| or(ll1,Z) != or(t7,or(and(cin,sum),Z))
| ll1 = or(t7,or(and(cin,sum),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll1,Z),or(t7,or(and(cin,sum),Z))) ),[0],$fot(ll1)]]) ).
cnf(refute_0_6104,plain,
( or(ll1,Z) != or(t7,or(and(cin,sum),Z))
| ll1 = or(t7,or(and(cin,sum),Z)) ),
inference(resolve,[$cnf( $equal(or(ll1,Z),ll1) )],[refute_0_6102,refute_0_6103]) ).
cnf(refute_0_6105,plain,
ll1 = or(t7,or(and(cin,sum),Z)),
inference(resolve,[$cnf( $equal(or(ll1,Z),or(t7,or(and(cin,sum),Z))) )],[refute_0_6101,refute_0_6104]) ).
cnf(refute_0_6106,plain,
ll1 = or(t7,or(and(cin,sum),X_194)),
inference(subst,[],[refute_0_6105:[bind(Z,$fot(X_194))]]) ).
cnf(refute_0_6107,plain,
or(X_194,and(cin,sum)) = or(and(cin,sum),X_194),
inference(subst,[],[or_commutative:[bind(X,$fot(X_194)),bind(Y,$fot(and(cin,sum)))]]) ).
cnf(refute_0_6108,plain,
( or(X_194,and(cin,sum)) != or(and(cin,sum),X_194)
| or(and(cin,sum),X_194) = or(X_194,and(cin,sum)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(X_194,and(cin,sum)))),bind(Y0,$fot(or(and(cin,sum),X_194)))]]) ).
cnf(refute_0_6109,plain,
or(and(cin,sum),X_194) = or(X_194,and(cin,sum)),
inference(resolve,[$cnf( $equal(or(X_194,and(cin,sum)),or(and(cin,sum),X_194)) )],[refute_0_6107,refute_0_6108]) ).
cnf(refute_0_6110,plain,
( ll1 != or(t7,or(and(cin,sum),X_194))
| or(and(cin,sum),X_194) != or(X_194,and(cin,sum))
| ll1 = or(t7,or(X_194,and(cin,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t7,or(and(cin,sum),X_194))) ),[1,1],$fot(or(X_194,and(cin,sum)))]]) ).
cnf(refute_0_6111,plain,
( ll1 != or(t7,or(and(cin,sum),X_194))
| ll1 = or(t7,or(X_194,and(cin,sum))) ),
inference(resolve,[$cnf( $equal(or(and(cin,sum),X_194),or(X_194,and(cin,sum))) )],[refute_0_6109,refute_0_6110]) ).
cnf(refute_0_6112,plain,
ll1 = or(t7,or(X_194,and(cin,sum))),
inference(resolve,[$cnf( $equal(ll1,or(t7,or(and(cin,sum),X_194))) )],[refute_0_6106,refute_0_6111]) ).
cnf(refute_0_6113,plain,
ll1 = or(t7,or(not(t6),and(cin,sum))),
inference(subst,[],[refute_0_6112:[bind(X_194,$fot(not(t6)))]]) ).
cnf(refute_0_6114,plain,
not(and(t6,not(and(cin,X_74)))) = or(not(t6),not(not(and(cin,X_74)))),
inference(subst,[],[and_demorgan:[bind(X,$fot(t6)),bind(Y,$fot(not(and(cin,X_74))))]]) ).
cnf(refute_0_6115,plain,
and(t6,not(and(cin,X_74))) = xor(t6,and(cin,X_74)),
inference(subst,[],[refute_0_1092:[bind(X_55,$fot(X_74))]]) ).
cnf(refute_0_6116,plain,
( and(t6,not(and(cin,X_74))) != xor(t6,and(cin,X_74))
| not(and(t6,not(and(cin,X_74)))) != or(not(t6),not(not(and(cin,X_74))))
| not(xor(t6,and(cin,X_74))) = or(not(t6),not(not(and(cin,X_74)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(t6,not(and(cin,X_74)))),or(not(t6),not(not(and(cin,X_74))))) ),[0,0],$fot(xor(t6,and(cin,X_74)))]]) ).
cnf(refute_0_6117,plain,
( not(and(t6,not(and(cin,X_74)))) != or(not(t6),not(not(and(cin,X_74))))
| not(xor(t6,and(cin,X_74))) = or(not(t6),not(not(and(cin,X_74)))) ),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,X_74))),xor(t6,and(cin,X_74))) )],[refute_0_6115,refute_0_6116]) ).
cnf(refute_0_6118,plain,
not(xor(t6,and(cin,X_74))) = or(not(t6),not(not(and(cin,X_74)))),
inference(resolve,[$cnf( $equal(not(and(t6,not(and(cin,X_74)))),or(not(t6),not(not(and(cin,X_74))))) )],[refute_0_6114,refute_0_6117]) ).
cnf(refute_0_6119,plain,
not(and(t6,not(and(cin,X_74)))) = or(not(t6),and(cin,X_74)),
inference(subst,[],[refute_0_435:[bind(X_29,$fot(t6)),bind(X_30,$fot(and(cin,X_74)))]]) ).
cnf(refute_0_6120,plain,
or(not(t6),not(not(and(cin,X_74)))) = not(and(t6,not(and(cin,X_74)))),
inference(subst,[],[refute_0_147:[bind(X,$fot(t6)),bind(Y,$fot(not(and(cin,X_74))))]]) ).
cnf(refute_0_6121,plain,
( not(and(t6,not(and(cin,X_74)))) != or(not(t6),and(cin,X_74))
| or(not(t6),not(not(and(cin,X_74)))) != not(and(t6,not(and(cin,X_74))))
| or(not(t6),not(not(and(cin,X_74)))) = or(not(t6),and(cin,X_74)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t6),not(not(and(cin,X_74)))))),bind(Y0,$fot(not(and(t6,not(and(cin,X_74)))))),bind(Z0,$fot(or(not(t6),and(cin,X_74))))]]) ).
cnf(refute_0_6122,plain,
( not(and(t6,not(and(cin,X_74)))) != or(not(t6),and(cin,X_74))
| or(not(t6),not(not(and(cin,X_74)))) = or(not(t6),and(cin,X_74)) ),
inference(resolve,[$cnf( $equal(or(not(t6),not(not(and(cin,X_74)))),not(and(t6,not(and(cin,X_74))))) )],[refute_0_6120,refute_0_6121]) ).
cnf(refute_0_6123,plain,
or(not(t6),not(not(and(cin,X_74)))) = or(not(t6),and(cin,X_74)),
inference(resolve,[$cnf( $equal(not(and(t6,not(and(cin,X_74)))),or(not(t6),and(cin,X_74))) )],[refute_0_6119,refute_0_6122]) ).
cnf(refute_0_6124,plain,
( not(xor(t6,and(cin,X_74))) != or(not(t6),not(not(and(cin,X_74))))
| or(not(t6),not(not(and(cin,X_74)))) != or(not(t6),and(cin,X_74))
| not(xor(t6,and(cin,X_74))) = or(not(t6),and(cin,X_74)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(t6,and(cin,X_74))),or(not(t6),and(cin,X_74))) ),[0],$fot(or(not(t6),not(not(and(cin,X_74)))))]]) ).
cnf(refute_0_6125,plain,
( not(xor(t6,and(cin,X_74))) != or(not(t6),not(not(and(cin,X_74))))
| not(xor(t6,and(cin,X_74))) = or(not(t6),and(cin,X_74)) ),
inference(resolve,[$cnf( $equal(or(not(t6),not(not(and(cin,X_74)))),or(not(t6),and(cin,X_74))) )],[refute_0_6123,refute_0_6124]) ).
cnf(refute_0_6126,plain,
not(xor(t6,and(cin,X_74))) = or(not(t6),and(cin,X_74)),
inference(resolve,[$cnf( $equal(not(xor(t6,and(cin,X_74))),or(not(t6),not(not(and(cin,X_74))))) )],[refute_0_6118,refute_0_6125]) ).
cnf(refute_0_6127,plain,
not(xor(t6,and(cin,sum))) = or(not(t6),and(cin,sum)),
inference(subst,[],[refute_0_6126:[bind(X_74,$fot(sum))]]) ).
cnf(refute_0_6128,plain,
( not(xor(t6,and(cin,sum))) != or(not(t6),and(cin,sum))
| or(not(t6),and(cin,sum)) = not(xor(t6,and(cin,sum))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(xor(t6,and(cin,sum))))),bind(Y0,$fot(or(not(t6),and(cin,sum))))]]) ).
cnf(refute_0_6129,plain,
or(not(t6),and(cin,sum)) = not(xor(t6,and(cin,sum))),
inference(resolve,[$cnf( $equal(not(xor(t6,and(cin,sum))),or(not(t6),and(cin,sum))) )],[refute_0_6127,refute_0_6128]) ).
cnf(refute_0_6130,plain,
( ll1 != or(t7,or(not(t6),and(cin,sum)))
| or(not(t6),and(cin,sum)) != not(xor(t6,and(cin,sum)))
| ll1 = or(t7,not(xor(t6,and(cin,sum)))) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t7,or(not(t6),and(cin,sum)))) ),[1,1],$fot(not(xor(t6,and(cin,sum))))]]) ).
cnf(refute_0_6131,plain,
( ll1 != or(t7,or(not(t6),and(cin,sum)))
| ll1 = or(t7,not(xor(t6,and(cin,sum)))) ),
inference(resolve,[$cnf( $equal(or(not(t6),and(cin,sum)),not(xor(t6,and(cin,sum)))) )],[refute_0_6129,refute_0_6130]) ).
cnf(refute_0_6132,plain,
ll1 = or(t7,not(xor(t6,and(cin,sum)))),
inference(resolve,[$cnf( $equal(ll1,or(t7,or(not(t6),and(cin,sum)))) )],[refute_0_6113,refute_0_6131]) ).
cnf(refute_0_6133,plain,
( ll1 != or(t7,not(xor(t6,and(cin,sum))))
| or(t7,not(xor(t6,and(cin,sum)))) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(t7,not(xor(t6,and(cin,sum))))))]]) ).
cnf(refute_0_6134,plain,
or(t7,not(xor(t6,and(cin,sum)))) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(t7,not(xor(t6,and(cin,sum))))) )],[refute_0_6132,refute_0_6133]) ).
cnf(refute_0_6135,plain,
( and(or(t7,not(xor(t6,and(cin,sum)))),not(or(not(xor(t6,and(cin,sum))),t7))) != ll0
| or(t7,not(xor(t6,and(cin,sum)))) != ll1
| and(ll1,not(or(not(xor(t6,and(cin,sum))),t7))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(t7,not(xor(t6,and(cin,sum)))),not(or(not(xor(t6,and(cin,sum))),t7))),ll0) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_6136,plain,
( and(or(t7,not(xor(t6,and(cin,sum)))),not(or(not(xor(t6,and(cin,sum))),t7))) != ll0
| and(ll1,not(or(not(xor(t6,and(cin,sum))),t7))) = ll0 ),
inference(resolve,[$cnf( $equal(or(t7,not(xor(t6,and(cin,sum)))),ll1) )],[refute_0_6134,refute_0_6135]) ).
cnf(refute_0_6137,plain,
and(ll1,not(or(not(xor(t6,and(cin,sum))),t7))) = ll0,
inference(resolve,[$cnf( $equal(and(or(t7,not(xor(t6,and(cin,sum)))),not(or(not(xor(t6,and(cin,sum))),t7))),ll0) )],[refute_0_6050,refute_0_6136]) ).
cnf(refute_0_6138,plain,
not(or(t7,not(xor(t6,and(cin,sum))))) = and(not(t7),xor(t6,and(cin,sum))),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(t6,and(cin,sum)))),bind(X_25,$fot(t7))]]) ).
cnf(refute_0_6139,plain,
and(ll1,not(or(t7,not(xor(t6,and(cin,sum)))))) = not(or(t7,not(xor(t6,and(cin,sum))))),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(or(t7,not(xor(t6,and(cin,sum)))))))]]) ).
cnf(refute_0_6140,plain,
( and(ll1,not(or(t7,not(xor(t6,and(cin,sum)))))) != not(or(t7,not(xor(t6,and(cin,sum)))))
| not(or(t7,not(xor(t6,and(cin,sum))))) != and(not(t7),xor(t6,and(cin,sum)))
| and(ll1,not(or(t7,not(xor(t6,and(cin,sum)))))) = and(not(t7),xor(t6,and(cin,sum))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(t7,not(xor(t6,and(cin,sum)))))))),bind(Y0,$fot(not(or(t7,not(xor(t6,and(cin,sum))))))),bind(Z0,$fot(and(not(t7),xor(t6,and(cin,sum)))))]]) ).
cnf(refute_0_6141,plain,
( not(or(t7,not(xor(t6,and(cin,sum))))) != and(not(t7),xor(t6,and(cin,sum)))
| and(ll1,not(or(t7,not(xor(t6,and(cin,sum)))))) = and(not(t7),xor(t6,and(cin,sum))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t7,not(xor(t6,and(cin,sum)))))),not(or(t7,not(xor(t6,and(cin,sum)))))) )],[refute_0_6139,refute_0_6140]) ).
cnf(refute_0_6142,plain,
and(ll1,not(or(t7,not(xor(t6,and(cin,sum)))))) = and(not(t7),xor(t6,and(cin,sum))),
inference(resolve,[$cnf( $equal(not(or(t7,not(xor(t6,and(cin,sum))))),and(not(t7),xor(t6,and(cin,sum)))) )],[refute_0_6138,refute_0_6141]) ).
cnf(refute_0_6143,plain,
and(ll1,not(or(not(xor(t6,and(cin,sum))),t7))) = and(ll1,not(or(t7,not(xor(t6,and(cin,sum)))))),
inference(subst,[],[refute_0_815:[bind(X_25,$fot(t7)),bind(X_26,$fot(not(xor(t6,and(cin,sum))))),bind(X_29,$fot(ll1))]]) ).
cnf(refute_0_6144,plain,
( and(ll1,not(or(not(xor(t6,and(cin,sum))),t7))) != and(ll1,not(or(t7,not(xor(t6,and(cin,sum))))))
| and(ll1,not(or(t7,not(xor(t6,and(cin,sum)))))) != and(not(t7),xor(t6,and(cin,sum)))
| and(ll1,not(or(not(xor(t6,and(cin,sum))),t7))) = and(not(t7),xor(t6,and(cin,sum))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(xor(t6,and(cin,sum))),t7))))),bind(Y0,$fot(and(ll1,not(or(t7,not(xor(t6,and(cin,sum)))))))),bind(Z0,$fot(and(not(t7),xor(t6,and(cin,sum)))))]]) ).
cnf(refute_0_6145,plain,
( and(ll1,not(or(t7,not(xor(t6,and(cin,sum)))))) != and(not(t7),xor(t6,and(cin,sum)))
| and(ll1,not(or(not(xor(t6,and(cin,sum))),t7))) = and(not(t7),xor(t6,and(cin,sum))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t6,and(cin,sum))),t7))),and(ll1,not(or(t7,not(xor(t6,and(cin,sum))))))) )],[refute_0_6143,refute_0_6144]) ).
cnf(refute_0_6146,plain,
and(ll1,not(or(not(xor(t6,and(cin,sum))),t7))) = and(not(t7),xor(t6,and(cin,sum))),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t7,not(xor(t6,and(cin,sum)))))),and(not(t7),xor(t6,and(cin,sum)))) )],[refute_0_6142,refute_0_6145]) ).
cnf(refute_0_6147,plain,
( and(ll1,not(or(not(xor(t6,and(cin,sum))),t7))) != and(not(t7),xor(t6,and(cin,sum)))
| and(ll1,not(or(not(xor(t6,and(cin,sum))),t7))) != ll0
| and(not(t7),xor(t6,and(cin,sum))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(ll1,not(or(not(xor(t6,and(cin,sum))),t7))),ll0) ),[0],$fot(and(not(t7),xor(t6,and(cin,sum))))]]) ).
cnf(refute_0_6148,plain,
( and(ll1,not(or(not(xor(t6,and(cin,sum))),t7))) != ll0
| and(not(t7),xor(t6,and(cin,sum))) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t6,and(cin,sum))),t7))),and(not(t7),xor(t6,and(cin,sum)))) )],[refute_0_6146,refute_0_6147]) ).
cnf(refute_0_6149,plain,
and(not(t7),xor(t6,and(cin,sum))) = ll0,
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t6,and(cin,sum))),t7))),ll0) )],[refute_0_6137,refute_0_6148]) ).
cnf(refute_0_6150,plain,
( and(not(t7),xor(t6,and(cin,sum))) != ll0
| or(and(t7,not(xor(t6,and(cin,sum)))),and(not(t7),xor(t6,and(cin,sum)))) != xor(t7,xor(t6,and(cin,sum)))
| or(and(t7,not(xor(t6,and(cin,sum)))),ll0) = xor(t7,xor(t6,and(cin,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t7,not(xor(t6,and(cin,sum)))),and(not(t7),xor(t6,and(cin,sum)))),xor(t7,xor(t6,and(cin,sum)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_6151,plain,
( or(and(t7,not(xor(t6,and(cin,sum)))),and(not(t7),xor(t6,and(cin,sum)))) != xor(t7,xor(t6,and(cin,sum)))
| or(and(t7,not(xor(t6,and(cin,sum)))),ll0) = xor(t7,xor(t6,and(cin,sum))) ),
inference(resolve,[$cnf( $equal(and(not(t7),xor(t6,and(cin,sum))),ll0) )],[refute_0_6149,refute_0_6150]) ).
cnf(refute_0_6152,plain,
or(and(t7,not(xor(t6,and(cin,sum)))),ll0) = xor(t7,xor(t6,and(cin,sum))),
inference(resolve,[$cnf( $equal(or(and(t7,not(xor(t6,and(cin,sum)))),and(not(t7),xor(t6,and(cin,sum)))),xor(t7,xor(t6,and(cin,sum)))) )],[refute_0_6049,refute_0_6151]) ).
cnf(refute_0_6153,plain,
or(and(t7,not(xor(t6,and(cin,sum)))),ll0) = and(t7,not(xor(t6,and(cin,sum)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t7,not(xor(t6,and(cin,sum))))))]]) ).
cnf(refute_0_6154,plain,
( or(and(t7,not(xor(t6,and(cin,sum)))),ll0) != and(t7,not(xor(t6,and(cin,sum))))
| or(and(t7,not(xor(t6,and(cin,sum)))),ll0) != xor(t7,xor(t6,and(cin,sum)))
| and(t7,not(xor(t6,and(cin,sum)))) = xor(t7,xor(t6,and(cin,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t7,not(xor(t6,and(cin,sum)))),ll0),xor(t7,xor(t6,and(cin,sum)))) ),[0],$fot(and(t7,not(xor(t6,and(cin,sum)))))]]) ).
cnf(refute_0_6155,plain,
( or(and(t7,not(xor(t6,and(cin,sum)))),ll0) != xor(t7,xor(t6,and(cin,sum)))
| and(t7,not(xor(t6,and(cin,sum)))) = xor(t7,xor(t6,and(cin,sum))) ),
inference(resolve,[$cnf( $equal(or(and(t7,not(xor(t6,and(cin,sum)))),ll0),and(t7,not(xor(t6,and(cin,sum))))) )],[refute_0_6153,refute_0_6154]) ).
cnf(refute_0_6156,plain,
or(and(xor(t6,t7),not(Y)),and(not(xor(t6,t7)),Y)) = xor(xor(t6,t7),Y),
inference(subst,[],[refute_0_9:[bind(X,$fot(xor(t6,t7)))]]) ).
cnf(refute_0_6157,plain,
( not(xor(t6,t7)) != not(sum)
| or(and(xor(t6,t7),not(Y)),and(not(xor(t6,t7)),Y)) != xor(xor(t6,t7),Y)
| or(and(xor(t6,t7),not(Y)),and(not(sum),Y)) = xor(xor(t6,t7),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(t6,t7),not(Y)),and(not(xor(t6,t7)),Y)),xor(xor(t6,t7),Y)) ),[0,1,0],$fot(not(sum))]]) ).
cnf(refute_0_6158,plain,
( or(and(xor(t6,t7),not(Y)),and(not(xor(t6,t7)),Y)) != xor(xor(t6,t7),Y)
| or(and(xor(t6,t7),not(Y)),and(not(sum),Y)) = xor(xor(t6,t7),Y) ),
inference(resolve,[$cnf( $equal(not(xor(t6,t7)),not(sum)) )],[refute_0_1145,refute_0_6157]) ).
cnf(refute_0_6159,plain,
or(and(xor(t6,t7),not(Y)),and(not(sum),Y)) = xor(xor(t6,t7),Y),
inference(resolve,[$cnf( $equal(or(and(xor(t6,t7),not(Y)),and(not(xor(t6,t7)),Y)),xor(xor(t6,t7),Y)) )],[refute_0_6156,refute_0_6158]) ).
cnf(refute_0_6160,plain,
or(and(xor(t6,t7),not(Y)),and(not(sum),Y)) = or(and(not(sum),Y),and(xor(t6,t7),not(Y))),
inference(subst,[],[refute_0_5:[bind(X,$fot(and(not(sum),Y))),bind(Y,$fot(and(xor(t6,t7),not(Y))))]]) ).
cnf(refute_0_6161,plain,
( or(and(xor(t6,t7),not(Y)),and(not(sum),Y)) != or(and(not(sum),Y),and(xor(t6,t7),not(Y)))
| or(and(xor(t6,t7),not(Y)),and(not(sum),Y)) != xor(xor(t6,t7),Y)
| or(and(not(sum),Y),and(xor(t6,t7),not(Y))) = xor(xor(t6,t7),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(t6,t7),not(Y)),and(not(sum),Y)),xor(xor(t6,t7),Y)) ),[0],$fot(or(and(not(sum),Y),and(xor(t6,t7),not(Y))))]]) ).
cnf(refute_0_6162,plain,
( or(and(xor(t6,t7),not(Y)),and(not(sum),Y)) != xor(xor(t6,t7),Y)
| or(and(not(sum),Y),and(xor(t6,t7),not(Y))) = xor(xor(t6,t7),Y) ),
inference(resolve,[$cnf( $equal(or(and(xor(t6,t7),not(Y)),and(not(sum),Y)),or(and(not(sum),Y),and(xor(t6,t7),not(Y)))) )],[refute_0_6160,refute_0_6161]) ).
cnf(refute_0_6163,plain,
xor(xor(t6,t7),Y) = xor(t6,xor(t7,Y)),
inference(subst,[],[refute_0_526:[bind(X,$fot(t6)),bind(Y,$fot(t7)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_6164,plain,
( or(and(not(sum),Y),and(xor(t6,t7),not(Y))) != xor(xor(t6,t7),Y)
| xor(xor(t6,t7),Y) != xor(t6,xor(t7,Y))
| or(and(not(sum),Y),and(xor(t6,t7),not(Y))) = xor(t6,xor(t7,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(and(not(sum),Y),and(xor(t6,t7),not(Y))),xor(t6,xor(t7,Y))) ),[0],$fot(xor(xor(t6,t7),Y))]]) ).
cnf(refute_0_6165,plain,
( or(and(not(sum),Y),and(xor(t6,t7),not(Y))) != xor(xor(t6,t7),Y)
| or(and(not(sum),Y),and(xor(t6,t7),not(Y))) = xor(t6,xor(t7,Y)) ),
inference(resolve,[$cnf( $equal(xor(xor(t6,t7),Y),xor(t6,xor(t7,Y))) )],[refute_0_6163,refute_0_6164]) ).
cnf(refute_0_6166,plain,
( or(and(xor(t6,t7),not(Y)),and(not(sum),Y)) != xor(xor(t6,t7),Y)
| or(and(not(sum),Y),and(xor(t6,t7),not(Y))) = xor(t6,xor(t7,Y)) ),
inference(resolve,[$cnf( $equal(or(and(not(sum),Y),and(xor(t6,t7),not(Y))),xor(xor(t6,t7),Y)) )],[refute_0_6162,refute_0_6165]) ).
cnf(refute_0_6167,plain,
or(and(not(sum),Y),and(xor(t6,t7),not(Y))) = xor(t6,xor(t7,Y)),
inference(resolve,[$cnf( $equal(or(and(xor(t6,t7),not(Y)),and(not(sum),Y)),xor(xor(t6,t7),Y)) )],[refute_0_6159,refute_0_6166]) ).
cnf(refute_0_6168,plain,
or(and(sum,not(Y)),and(not(sum),Y)) = xor(sum,Y),
inference(subst,[],[refute_0_9:[bind(X,$fot(sum))]]) ).
cnf(refute_0_6169,plain,
or(and(not(sum),Y),and(sum,not(Y))) = or(and(sum,not(Y)),and(not(sum),Y)),
inference(subst,[],[refute_0_5:[bind(X,$fot(and(sum,not(Y)))),bind(Y,$fot(and(not(sum),Y)))]]) ).
cnf(refute_0_6170,plain,
( or(and(not(sum),Y),and(sum,not(Y))) != or(and(sum,not(Y)),and(not(sum),Y))
| or(and(sum,not(Y)),and(not(sum),Y)) != xor(sum,Y)
| or(and(not(sum),Y),and(sum,not(Y))) = xor(sum,Y) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(not(sum),Y),and(sum,not(Y))))),bind(Y0,$fot(or(and(sum,not(Y)),and(not(sum),Y)))),bind(Z0,$fot(xor(sum,Y)))]]) ).
cnf(refute_0_6171,plain,
( or(and(sum,not(Y)),and(not(sum),Y)) != xor(sum,Y)
| or(and(not(sum),Y),and(sum,not(Y))) = xor(sum,Y) ),
inference(resolve,[$cnf( $equal(or(and(not(sum),Y),and(sum,not(Y))),or(and(sum,not(Y)),and(not(sum),Y))) )],[refute_0_6169,refute_0_6170]) ).
cnf(refute_0_6172,plain,
or(and(not(sum),Y),and(sum,not(Y))) = xor(sum,Y),
inference(resolve,[$cnf( $equal(or(and(sum,not(Y)),and(not(sum),Y)),xor(sum,Y)) )],[refute_0_6168,refute_0_6171]) ).
cnf(refute_0_6173,plain,
not(or(not(xor(t6,t7)),X_26)) = and(xor(t6,t7),not(X_26)),
inference(subst,[],[refute_0_159:[bind(X,$fot(xor(t6,t7)))]]) ).
cnf(refute_0_6174,plain,
( not(or(not(xor(t6,t7)),X_26)) != and(xor(t6,t7),not(X_26))
| not(xor(t6,t7)) != not(sum)
| not(or(not(sum),X_26)) = and(xor(t6,t7),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(xor(t6,t7)),X_26)),and(xor(t6,t7),not(X_26))) ),[0,0,0],$fot(not(sum))]]) ).
cnf(refute_0_6175,plain,
( not(or(not(xor(t6,t7)),X_26)) != and(xor(t6,t7),not(X_26))
| not(or(not(sum),X_26)) = and(xor(t6,t7),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(xor(t6,t7)),not(sum)) )],[refute_0_1145,refute_0_6174]) ).
cnf(refute_0_6176,plain,
not(or(not(sum),X_26)) = and(xor(t6,t7),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(not(xor(t6,t7)),X_26)),and(xor(t6,t7),not(X_26))) )],[refute_0_6173,refute_0_6175]) ).
cnf(refute_0_6177,plain,
not(or(not(sum),X_26)) = and(sum,not(X_26)),
inference(subst,[],[refute_0_159:[bind(X,$fot(sum))]]) ).
cnf(refute_0_6178,plain,
( not(or(not(sum),X_26)) != and(sum,not(X_26))
| not(or(not(sum),X_26)) != and(xor(t6,t7),not(X_26))
| and(sum,not(X_26)) = and(xor(t6,t7),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(sum),X_26)),and(xor(t6,t7),not(X_26))) ),[0],$fot(and(sum,not(X_26)))]]) ).
cnf(refute_0_6179,plain,
( not(or(not(sum),X_26)) != and(xor(t6,t7),not(X_26))
| and(sum,not(X_26)) = and(xor(t6,t7),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(or(not(sum),X_26)),and(sum,not(X_26))) )],[refute_0_6177,refute_0_6178]) ).
cnf(refute_0_6180,plain,
and(sum,not(X_26)) = and(xor(t6,t7),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(not(sum),X_26)),and(xor(t6,t7),not(X_26))) )],[refute_0_6176,refute_0_6179]) ).
cnf(refute_0_6181,plain,
( and(sum,not(X_26)) != and(xor(t6,t7),not(X_26))
| and(xor(t6,t7),not(X_26)) = and(sum,not(X_26)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(sum,not(X_26)))),bind(Y0,$fot(and(xor(t6,t7),not(X_26))))]]) ).
cnf(refute_0_6182,plain,
and(xor(t6,t7),not(X_26)) = and(sum,not(X_26)),
inference(resolve,[$cnf( $equal(and(sum,not(X_26)),and(xor(t6,t7),not(X_26))) )],[refute_0_6180,refute_0_6181]) ).
cnf(refute_0_6183,plain,
and(xor(t6,t7),not(Y)) = and(sum,not(Y)),
inference(subst,[],[refute_0_6182:[bind(X_26,$fot(Y))]]) ).
cnf(refute_0_6184,plain,
or(and(not(sum),Y),and(xor(t6,t7),not(Y))) = or(and(not(sum),Y),and(xor(t6,t7),not(Y))),
introduced(tautology,[refl,[$fot(or(and(not(sum),Y),and(xor(t6,t7),not(Y))))]]) ).
cnf(refute_0_6185,plain,
( and(xor(t6,t7),not(Y)) != and(sum,not(Y))
| or(and(not(sum),Y),and(xor(t6,t7),not(Y))) != or(and(not(sum),Y),and(xor(t6,t7),not(Y)))
| or(and(not(sum),Y),and(xor(t6,t7),not(Y))) = or(and(not(sum),Y),and(sum,not(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(not(sum),Y),and(xor(t6,t7),not(Y))),or(and(not(sum),Y),and(xor(t6,t7),not(Y)))) ),[1,1],$fot(and(sum,not(Y)))]]) ).
cnf(refute_0_6186,plain,
( and(xor(t6,t7),not(Y)) != and(sum,not(Y))
| or(and(not(sum),Y),and(xor(t6,t7),not(Y))) = or(and(not(sum),Y),and(sum,not(Y))) ),
inference(resolve,[$cnf( $equal(or(and(not(sum),Y),and(xor(t6,t7),not(Y))),or(and(not(sum),Y),and(xor(t6,t7),not(Y)))) )],[refute_0_6184,refute_0_6185]) ).
cnf(refute_0_6187,plain,
or(and(not(sum),Y),and(xor(t6,t7),not(Y))) = or(and(not(sum),Y),and(sum,not(Y))),
inference(resolve,[$cnf( $equal(and(xor(t6,t7),not(Y)),and(sum,not(Y))) )],[refute_0_6183,refute_0_6186]) ).
cnf(refute_0_6188,plain,
( or(and(not(sum),Y),and(sum,not(Y))) != xor(sum,Y)
| or(and(not(sum),Y),and(xor(t6,t7),not(Y))) != or(and(not(sum),Y),and(sum,not(Y)))
| or(and(not(sum),Y),and(xor(t6,t7),not(Y))) = xor(sum,Y) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(not(sum),Y),and(xor(t6,t7),not(Y))))),bind(Y0,$fot(or(and(not(sum),Y),and(sum,not(Y))))),bind(Z0,$fot(xor(sum,Y)))]]) ).
cnf(refute_0_6189,plain,
( or(and(not(sum),Y),and(sum,not(Y))) != xor(sum,Y)
| or(and(not(sum),Y),and(xor(t6,t7),not(Y))) = xor(sum,Y) ),
inference(resolve,[$cnf( $equal(or(and(not(sum),Y),and(xor(t6,t7),not(Y))),or(and(not(sum),Y),and(sum,not(Y)))) )],[refute_0_6187,refute_0_6188]) ).
cnf(refute_0_6190,plain,
or(and(not(sum),Y),and(xor(t6,t7),not(Y))) = xor(sum,Y),
inference(resolve,[$cnf( $equal(or(and(not(sum),Y),and(sum,not(Y))),xor(sum,Y)) )],[refute_0_6172,refute_0_6189]) ).
cnf(refute_0_6191,plain,
( or(and(not(sum),Y),and(xor(t6,t7),not(Y))) != xor(sum,Y)
| or(and(not(sum),Y),and(xor(t6,t7),not(Y))) != xor(t6,xor(t7,Y))
| xor(sum,Y) = xor(t6,xor(t7,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(not(sum),Y),and(xor(t6,t7),not(Y))),xor(t6,xor(t7,Y))) ),[0],$fot(xor(sum,Y))]]) ).
cnf(refute_0_6192,plain,
( or(and(not(sum),Y),and(xor(t6,t7),not(Y))) != xor(t6,xor(t7,Y))
| xor(sum,Y) = xor(t6,xor(t7,Y)) ),
inference(resolve,[$cnf( $equal(or(and(not(sum),Y),and(xor(t6,t7),not(Y))),xor(sum,Y)) )],[refute_0_6190,refute_0_6191]) ).
cnf(refute_0_6193,plain,
xor(sum,Y) = xor(t6,xor(t7,Y)),
inference(resolve,[$cnf( $equal(or(and(not(sum),Y),and(xor(t6,t7),not(Y))),xor(t6,xor(t7,Y))) )],[refute_0_6167,refute_0_6192]) ).
cnf(refute_0_6194,plain,
( xor(sum,Y) != xor(t6,xor(t7,Y))
| xor(t6,xor(t7,Y)) = xor(sum,Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(sum,Y))),bind(Y0,$fot(xor(t6,xor(t7,Y))))]]) ).
cnf(refute_0_6195,plain,
xor(t6,xor(t7,Y)) = xor(sum,Y),
inference(resolve,[$cnf( $equal(xor(sum,Y),xor(t6,xor(t7,Y))) )],[refute_0_6193,refute_0_6194]) ).
cnf(refute_0_6196,plain,
xor(t6,xor(t7,and(cin,sum))) = xor(sum,and(cin,sum)),
inference(subst,[],[refute_0_6195:[bind(Y,$fot(and(cin,sum)))]]) ).
cnf(refute_0_6197,plain,
xor(t7,xor(t6,and(cin,sum))) = xor(t6,xor(t7,and(cin,sum))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(t6)),bind(X_334,$fot(t7)),bind(X_335,$fot(and(cin,sum)))]]) ).
cnf(refute_0_6198,plain,
( xor(t6,xor(t7,and(cin,sum))) != xor(sum,and(cin,sum))
| xor(t7,xor(t6,and(cin,sum))) != xor(t6,xor(t7,and(cin,sum)))
| xor(t7,xor(t6,and(cin,sum))) = xor(sum,and(cin,sum)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t7,xor(t6,and(cin,sum))))),bind(Y0,$fot(xor(t6,xor(t7,and(cin,sum))))),bind(Z0,$fot(xor(sum,and(cin,sum))))]]) ).
cnf(refute_0_6199,plain,
( xor(t6,xor(t7,and(cin,sum))) != xor(sum,and(cin,sum))
| xor(t7,xor(t6,and(cin,sum))) = xor(sum,and(cin,sum)) ),
inference(resolve,[$cnf( $equal(xor(t7,xor(t6,and(cin,sum))),xor(t6,xor(t7,and(cin,sum)))) )],[refute_0_6197,refute_0_6198]) ).
cnf(refute_0_6200,plain,
xor(t7,xor(t6,and(cin,sum))) = xor(sum,and(cin,sum)),
inference(resolve,[$cnf( $equal(xor(t6,xor(t7,and(cin,sum))),xor(sum,and(cin,sum))) )],[refute_0_6196,refute_0_6199]) ).
cnf(refute_0_6201,plain,
( and(t7,not(xor(t6,and(cin,sum)))) != xor(t7,xor(t6,and(cin,sum)))
| xor(t7,xor(t6,and(cin,sum))) != xor(sum,and(cin,sum))
| and(t7,not(xor(t6,and(cin,sum)))) = xor(sum,and(cin,sum)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t7,not(xor(t6,and(cin,sum)))),xor(sum,and(cin,sum))) ),[0],$fot(xor(t7,xor(t6,and(cin,sum))))]]) ).
cnf(refute_0_6202,plain,
( and(t7,not(xor(t6,and(cin,sum)))) != xor(t7,xor(t6,and(cin,sum)))
| and(t7,not(xor(t6,and(cin,sum)))) = xor(sum,and(cin,sum)) ),
inference(resolve,[$cnf( $equal(xor(t7,xor(t6,and(cin,sum))),xor(sum,and(cin,sum))) )],[refute_0_6200,refute_0_6201]) ).
cnf(refute_0_6203,plain,
( or(and(t7,not(xor(t6,and(cin,sum)))),ll0) != xor(t7,xor(t6,and(cin,sum)))
| and(t7,not(xor(t6,and(cin,sum)))) = xor(sum,and(cin,sum)) ),
inference(resolve,[$cnf( $equal(and(t7,not(xor(t6,and(cin,sum)))),xor(t7,xor(t6,and(cin,sum)))) )],[refute_0_6155,refute_0_6202]) ).
cnf(refute_0_6204,plain,
and(t7,not(xor(t6,and(cin,sum)))) = xor(sum,and(cin,sum)),
inference(resolve,[$cnf( $equal(or(and(t7,not(xor(t6,and(cin,sum)))),ll0),xor(t7,xor(t6,and(cin,sum)))) )],[refute_0_6152,refute_0_6203]) ).
cnf(refute_0_6205,plain,
( and(not(cin),not(xor(t6,and(cin,sum)))) != and(t5,and(t7,not(xor(t6,and(cin,sum)))))
| and(t7,not(xor(t6,and(cin,sum)))) != xor(sum,and(cin,sum))
| and(not(cin),not(xor(t6,and(cin,sum)))) = and(t5,xor(sum,and(cin,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(cin),not(xor(t6,and(cin,sum)))),and(t5,and(t7,not(xor(t6,and(cin,sum)))))) ),[1,1],$fot(xor(sum,and(cin,sum)))]]) ).
cnf(refute_0_6206,plain,
( and(not(cin),not(xor(t6,and(cin,sum)))) != and(t5,and(t7,not(xor(t6,and(cin,sum)))))
| and(not(cin),not(xor(t6,and(cin,sum)))) = and(t5,xor(sum,and(cin,sum))) ),
inference(resolve,[$cnf( $equal(and(t7,not(xor(t6,and(cin,sum)))),xor(sum,and(cin,sum))) )],[refute_0_6204,refute_0_6205]) ).
cnf(refute_0_6207,plain,
and(not(cin),not(xor(t6,and(cin,sum)))) = and(t5,xor(sum,and(cin,sum))),
inference(resolve,[$cnf( $equal(and(not(cin),not(xor(t6,and(cin,sum)))),and(t5,and(t7,not(xor(t6,and(cin,sum)))))) )],[refute_0_6048,refute_0_6206]) ).
cnf(refute_0_6208,plain,
and(not(cin),not(xor(t6,and(cin,sum)))) = not(or(cin,xor(t6,and(cin,sum)))),
inference(subst,[],[refute_0_101:[bind(X,$fot(cin)),bind(Y,$fot(xor(t6,and(cin,sum))))]]) ).
cnf(refute_0_6209,plain,
( and(not(cin),not(xor(t6,and(cin,sum)))) != and(t5,xor(sum,and(cin,sum)))
| and(not(cin),not(xor(t6,and(cin,sum)))) != not(or(cin,xor(t6,and(cin,sum))))
| not(or(cin,xor(t6,and(cin,sum)))) = and(t5,xor(sum,and(cin,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(cin),not(xor(t6,and(cin,sum)))),and(t5,xor(sum,and(cin,sum)))) ),[0],$fot(not(or(cin,xor(t6,and(cin,sum)))))]]) ).
cnf(refute_0_6210,plain,
( and(not(cin),not(xor(t6,and(cin,sum)))) != and(t5,xor(sum,and(cin,sum)))
| not(or(cin,xor(t6,and(cin,sum)))) = and(t5,xor(sum,and(cin,sum))) ),
inference(resolve,[$cnf( $equal(and(not(cin),not(xor(t6,and(cin,sum)))),not(or(cin,xor(t6,and(cin,sum))))) )],[refute_0_6208,refute_0_6209]) ).
cnf(refute_0_6211,plain,
not(or(cin,xor(t6,and(cin,sum)))) = and(t5,xor(sum,and(cin,sum))),
inference(resolve,[$cnf( $equal(and(not(cin),not(xor(t6,and(cin,sum)))),and(t5,xor(sum,and(cin,sum)))) )],[refute_0_6207,refute_0_6210]) ).
cnf(refute_0_6212,plain,
and(not(cin),sum) = and(sum,not(cin)),
inference(subst,[],[refute_0_116:[bind(X,$fot(sum)),bind(Y,$fot(not(cin)))]]) ).
cnf(refute_0_6213,plain,
not(or(cin,not(sum))) = and(not(cin),sum),
inference(subst,[],[refute_0_801:[bind(X,$fot(sum)),bind(X_25,$fot(cin))]]) ).
cnf(refute_0_6214,plain,
( and(not(cin),sum) != and(sum,not(cin))
| not(or(cin,not(sum))) != and(not(cin),sum)
| not(or(cin,not(sum))) = and(sum,not(cin)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(cin,not(sum))))),bind(Y0,$fot(and(not(cin),sum))),bind(Z0,$fot(and(sum,not(cin))))]]) ).
cnf(refute_0_6215,plain,
( and(not(cin),sum) != and(sum,not(cin))
| not(or(cin,not(sum))) = and(sum,not(cin)) ),
inference(resolve,[$cnf( $equal(not(or(cin,not(sum))),and(not(cin),sum)) )],[refute_0_6213,refute_0_6214]) ).
cnf(refute_0_6216,plain,
not(or(cin,not(sum))) = and(sum,not(cin)),
inference(resolve,[$cnf( $equal(and(not(cin),sum),and(sum,not(cin))) )],[refute_0_6212,refute_0_6215]) ).
cnf(refute_0_6217,plain,
( not(xor(t6,t7)) != not(sum)
| xor(t6,not(t7)) != not(xor(t6,t7))
| xor(t6,not(t7)) = not(sum) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,not(t7)))),bind(Y0,$fot(not(xor(t6,t7)))),bind(Z0,$fot(not(sum)))]]) ).
cnf(refute_0_6218,plain,
( not(xor(t6,t7)) != not(sum)
| xor(t6,not(t7)) = not(sum) ),
inference(resolve,[$cnf( $equal(xor(t6,not(t7)),not(xor(t6,t7))) )],[refute_0_1140,refute_0_6217]) ).
cnf(refute_0_6219,plain,
xor(t6,not(t7)) = not(sum),
inference(resolve,[$cnf( $equal(not(xor(t6,t7)),not(sum)) )],[refute_0_1145,refute_0_6218]) ).
cnf(refute_0_6220,plain,
and(and(cin,sum),or(t6,and(cin,sum))) = and(cin,sum),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(and(cin,sum))),bind(X_20,$fot(t6))]]) ).
cnf(refute_0_6221,plain,
or(t6,and(t6,not(xor(t6,and(cin,sum))))) = t6,
inference(subst,[],[or_absorption:[bind(X,$fot(t6)),bind(Y,$fot(not(xor(t6,and(cin,sum)))))]]) ).
cnf(refute_0_6222,plain,
or(and(t6,not(xor(t6,and(cin,sum)))),and(not(t6),xor(t6,and(cin,sum)))) = xor(t6,xor(t6,and(cin,sum))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t6)),bind(Y,$fot(xor(t6,and(cin,sum))))]]) ).
cnf(refute_0_6223,plain,
and(or(cin,not(xor(t6,and(cin,sum)))),not(or(not(xor(t6,and(cin,sum))),cin))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(not(xor(t6,and(cin,sum))))),bind(X_28,$fot(cin))]]) ).
cnf(refute_0_6224,plain,
not(and(xor(t6,and(cin,sum)),not(cin))) = not(and(not(cin),xor(t6,and(cin,sum)))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(not(cin))),bind(X_32,$fot(xor(t6,and(cin,sum))))]]) ).
cnf(refute_0_6225,plain,
and(not(cin),xor(t6,and(cin,sum))) = and(t5,and(t7,xor(t6,and(cin,sum)))),
inference(subst,[],[refute_0_4419:[bind(Z,$fot(xor(t6,and(cin,sum))))]]) ).
cnf(refute_0_6226,plain,
and(xor(t6,and(cin,sum)),or(xor(sum,and(cin,sum)),xor(t6,and(cin,sum)))) = xor(t6,and(cin,sum)),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(xor(t6,and(cin,sum)))),bind(X_20,$fot(xor(sum,and(cin,sum))))]]) ).
cnf(refute_0_6227,plain,
or(and(xor(sum,and(cin,sum)),not(xor(t6,and(cin,sum)))),and(not(xor(sum,and(cin,sum))),xor(t6,and(cin,sum)))) = xor(xor(sum,and(cin,sum)),xor(t6,and(cin,sum))),
inference(subst,[],[refute_0_9:[bind(X,$fot(xor(sum,and(cin,sum)))),bind(Y,$fot(xor(t6,and(cin,sum))))]]) ).
cnf(refute_0_6228,plain,
and(not(xor(t6,and(cin,sum))),and(t7,not(xor(t6,and(cin,sum))))) = and(not(xor(t6,and(cin,sum))),t7),
inference(subst,[],[refute_0_4181:[bind(Y,$fot(t7)),bind(X_22,$fot(not(xor(t6,and(cin,sum)))))]]) ).
cnf(refute_0_6229,plain,
( and(not(xor(t6,and(cin,sum))),and(t7,not(xor(t6,and(cin,sum))))) != and(not(xor(t6,and(cin,sum))),t7)
| and(t7,not(xor(t6,and(cin,sum)))) != xor(sum,and(cin,sum))
| and(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum))) = and(not(xor(t6,and(cin,sum))),t7) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(xor(t6,and(cin,sum))),and(t7,not(xor(t6,and(cin,sum))))),and(not(xor(t6,and(cin,sum))),t7)) ),[0,1],$fot(xor(sum,and(cin,sum)))]]) ).
cnf(refute_0_6230,plain,
( and(not(xor(t6,and(cin,sum))),and(t7,not(xor(t6,and(cin,sum))))) != and(not(xor(t6,and(cin,sum))),t7)
| and(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum))) = and(not(xor(t6,and(cin,sum))),t7) ),
inference(resolve,[$cnf( $equal(and(t7,not(xor(t6,and(cin,sum)))),xor(sum,and(cin,sum))) )],[refute_0_6204,refute_0_6229]) ).
cnf(refute_0_6231,plain,
and(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum))) = and(not(xor(t6,and(cin,sum))),t7),
inference(resolve,[$cnf( $equal(and(not(xor(t6,and(cin,sum))),and(t7,not(xor(t6,and(cin,sum))))),and(not(xor(t6,and(cin,sum))),t7)) )],[refute_0_6228,refute_0_6230]) ).
cnf(refute_0_6232,plain,
and(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum))) = and(xor(sum,and(cin,sum)),not(xor(t6,and(cin,sum)))),
inference(subst,[],[refute_0_116:[bind(X,$fot(xor(sum,and(cin,sum)))),bind(Y,$fot(not(xor(t6,and(cin,sum)))))]]) ).
cnf(refute_0_6233,plain,
( and(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum))) != and(not(xor(t6,and(cin,sum))),t7)
| and(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum))) != and(xor(sum,and(cin,sum)),not(xor(t6,and(cin,sum))))
| and(xor(sum,and(cin,sum)),not(xor(t6,and(cin,sum)))) = and(not(xor(t6,and(cin,sum))),t7) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum))),and(not(xor(t6,and(cin,sum))),t7)) ),[0],$fot(and(xor(sum,and(cin,sum)),not(xor(t6,and(cin,sum)))))]]) ).
cnf(refute_0_6234,plain,
( and(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum))) != and(not(xor(t6,and(cin,sum))),t7)
| and(xor(sum,and(cin,sum)),not(xor(t6,and(cin,sum)))) = and(not(xor(t6,and(cin,sum))),t7) ),
inference(resolve,[$cnf( $equal(and(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum))),and(xor(sum,and(cin,sum)),not(xor(t6,and(cin,sum))))) )],[refute_0_6232,refute_0_6233]) ).
cnf(refute_0_6235,plain,
and(not(xor(t6,and(cin,sum))),t7) = and(t7,not(xor(t6,and(cin,sum)))),
inference(subst,[],[refute_0_116:[bind(X,$fot(t7)),bind(Y,$fot(not(xor(t6,and(cin,sum)))))]]) ).
cnf(refute_0_6236,plain,
( and(not(xor(t6,and(cin,sum))),t7) != and(t7,not(xor(t6,and(cin,sum))))
| and(t7,not(xor(t6,and(cin,sum)))) != xor(sum,and(cin,sum))
| and(not(xor(t6,and(cin,sum))),t7) = xor(sum,and(cin,sum)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(xor(t6,and(cin,sum))),t7))),bind(Y0,$fot(and(t7,not(xor(t6,and(cin,sum)))))),bind(Z0,$fot(xor(sum,and(cin,sum))))]]) ).
cnf(refute_0_6237,plain,
( and(t7,not(xor(t6,and(cin,sum)))) != xor(sum,and(cin,sum))
| and(not(xor(t6,and(cin,sum))),t7) = xor(sum,and(cin,sum)) ),
inference(resolve,[$cnf( $equal(and(not(xor(t6,and(cin,sum))),t7),and(t7,not(xor(t6,and(cin,sum))))) )],[refute_0_6235,refute_0_6236]) ).
cnf(refute_0_6238,plain,
and(not(xor(t6,and(cin,sum))),t7) = xor(sum,and(cin,sum)),
inference(resolve,[$cnf( $equal(and(t7,not(xor(t6,and(cin,sum)))),xor(sum,and(cin,sum))) )],[refute_0_6204,refute_0_6237]) ).
cnf(refute_0_6239,plain,
( and(not(xor(t6,and(cin,sum))),t7) != xor(sum,and(cin,sum))
| and(xor(sum,and(cin,sum)),not(xor(t6,and(cin,sum)))) != and(not(xor(t6,and(cin,sum))),t7)
| and(xor(sum,and(cin,sum)),not(xor(t6,and(cin,sum)))) = xor(sum,and(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(sum,and(cin,sum)),not(xor(t6,and(cin,sum)))),and(not(xor(t6,and(cin,sum))),t7)) ),[1],$fot(xor(sum,and(cin,sum)))]]) ).
cnf(refute_0_6240,plain,
( and(xor(sum,and(cin,sum)),not(xor(t6,and(cin,sum)))) != and(not(xor(t6,and(cin,sum))),t7)
| and(xor(sum,and(cin,sum)),not(xor(t6,and(cin,sum)))) = xor(sum,and(cin,sum)) ),
inference(resolve,[$cnf( $equal(and(not(xor(t6,and(cin,sum))),t7),xor(sum,and(cin,sum))) )],[refute_0_6238,refute_0_6239]) ).
cnf(refute_0_6241,plain,
( and(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum))) != and(not(xor(t6,and(cin,sum))),t7)
| and(xor(sum,and(cin,sum)),not(xor(t6,and(cin,sum)))) = xor(sum,and(cin,sum)) ),
inference(resolve,[$cnf( $equal(and(xor(sum,and(cin,sum)),not(xor(t6,and(cin,sum)))),and(not(xor(t6,and(cin,sum))),t7)) )],[refute_0_6234,refute_0_6240]) ).
cnf(refute_0_6242,plain,
and(xor(sum,and(cin,sum)),not(xor(t6,and(cin,sum)))) = xor(sum,and(cin,sum)),
inference(resolve,[$cnf( $equal(and(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum))),and(not(xor(t6,and(cin,sum))),t7)) )],[refute_0_6231,refute_0_6241]) ).
cnf(refute_0_6243,plain,
( and(xor(sum,and(cin,sum)),not(xor(t6,and(cin,sum)))) != xor(sum,and(cin,sum))
| or(and(xor(sum,and(cin,sum)),not(xor(t6,and(cin,sum)))),and(not(xor(sum,and(cin,sum))),xor(t6,and(cin,sum)))) != xor(xor(sum,and(cin,sum)),xor(t6,and(cin,sum)))
| or(xor(sum,and(cin,sum)),and(not(xor(sum,and(cin,sum))),xor(t6,and(cin,sum)))) = xor(xor(sum,and(cin,sum)),xor(t6,and(cin,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(sum,and(cin,sum)),not(xor(t6,and(cin,sum)))),and(not(xor(sum,and(cin,sum))),xor(t6,and(cin,sum)))),xor(xor(sum,and(cin,sum)),xor(t6,and(cin,sum)))) ),[0,0],$fot(xor(sum,and(cin,sum)))]]) ).
cnf(refute_0_6244,plain,
( or(and(xor(sum,and(cin,sum)),not(xor(t6,and(cin,sum)))),and(not(xor(sum,and(cin,sum))),xor(t6,and(cin,sum)))) != xor(xor(sum,and(cin,sum)),xor(t6,and(cin,sum)))
| or(xor(sum,and(cin,sum)),and(not(xor(sum,and(cin,sum))),xor(t6,and(cin,sum)))) = xor(xor(sum,and(cin,sum)),xor(t6,and(cin,sum))) ),
inference(resolve,[$cnf( $equal(and(xor(sum,and(cin,sum)),not(xor(t6,and(cin,sum)))),xor(sum,and(cin,sum))) )],[refute_0_6242,refute_0_6243]) ).
cnf(refute_0_6245,plain,
or(xor(sum,and(cin,sum)),and(not(xor(sum,and(cin,sum))),xor(t6,and(cin,sum)))) = xor(xor(sum,and(cin,sum)),xor(t6,and(cin,sum))),
inference(resolve,[$cnf( $equal(or(and(xor(sum,and(cin,sum)),not(xor(t6,and(cin,sum)))),and(not(xor(sum,and(cin,sum))),xor(t6,and(cin,sum)))),xor(xor(sum,and(cin,sum)),xor(t6,and(cin,sum)))) )],[refute_0_6227,refute_0_6244]) ).
cnf(refute_0_6246,plain,
and(not(xor(sum,and(cin,sum))),xor(t6,and(cin,sum))) = and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum)))),
inference(subst,[],[refute_0_116:[bind(X,$fot(xor(t6,and(cin,sum)))),bind(Y,$fot(not(xor(sum,and(cin,sum)))))]]) ).
cnf(refute_0_6247,plain,
or(xor(sum,and(cin,sum)),and(not(xor(sum,and(cin,sum))),xor(t6,and(cin,sum)))) = or(xor(sum,and(cin,sum)),and(not(xor(sum,and(cin,sum))),xor(t6,and(cin,sum)))),
introduced(tautology,[refl,[$fot(or(xor(sum,and(cin,sum)),and(not(xor(sum,and(cin,sum))),xor(t6,and(cin,sum)))))]]) ).
cnf(refute_0_6248,plain,
( and(not(xor(sum,and(cin,sum))),xor(t6,and(cin,sum))) != and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))
| or(xor(sum,and(cin,sum)),and(not(xor(sum,and(cin,sum))),xor(t6,and(cin,sum)))) != or(xor(sum,and(cin,sum)),and(not(xor(sum,and(cin,sum))),xor(t6,and(cin,sum))))
| or(xor(sum,and(cin,sum)),and(not(xor(sum,and(cin,sum))),xor(t6,and(cin,sum)))) = or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))) ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(sum,and(cin,sum)),and(not(xor(sum,and(cin,sum))),xor(t6,and(cin,sum)))),or(xor(sum,and(cin,sum)),and(not(xor(sum,and(cin,sum))),xor(t6,and(cin,sum))))) ),[1,1],$fot(and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum)))))]]) ).
cnf(refute_0_6249,plain,
( and(not(xor(sum,and(cin,sum))),xor(t6,and(cin,sum))) != and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))
| or(xor(sum,and(cin,sum)),and(not(xor(sum,and(cin,sum))),xor(t6,and(cin,sum)))) = or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))) ),
inference(resolve,[$cnf( $equal(or(xor(sum,and(cin,sum)),and(not(xor(sum,and(cin,sum))),xor(t6,and(cin,sum)))),or(xor(sum,and(cin,sum)),and(not(xor(sum,and(cin,sum))),xor(t6,and(cin,sum))))) )],[refute_0_6247,refute_0_6248]) ).
cnf(refute_0_6250,plain,
or(xor(sum,and(cin,sum)),and(not(xor(sum,and(cin,sum))),xor(t6,and(cin,sum)))) = or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))),
inference(resolve,[$cnf( $equal(and(not(xor(sum,and(cin,sum))),xor(t6,and(cin,sum))),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))) )],[refute_0_6246,refute_0_6249]) ).
cnf(refute_0_6251,plain,
( or(xor(sum,and(cin,sum)),and(not(xor(sum,and(cin,sum))),xor(t6,and(cin,sum)))) != or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum)))))
| or(xor(sum,and(cin,sum)),and(not(xor(sum,and(cin,sum))),xor(t6,and(cin,sum)))) != xor(xor(sum,and(cin,sum)),xor(t6,and(cin,sum)))
| or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))) = xor(xor(sum,and(cin,sum)),xor(t6,and(cin,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(sum,and(cin,sum)),and(not(xor(sum,and(cin,sum))),xor(t6,and(cin,sum)))),xor(xor(sum,and(cin,sum)),xor(t6,and(cin,sum)))) ),[0],$fot(or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))))]]) ).
cnf(refute_0_6252,plain,
( or(xor(sum,and(cin,sum)),and(not(xor(sum,and(cin,sum))),xor(t6,and(cin,sum)))) != xor(xor(sum,and(cin,sum)),xor(t6,and(cin,sum)))
| or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))) = xor(xor(sum,and(cin,sum)),xor(t6,and(cin,sum))) ),
inference(resolve,[$cnf( $equal(or(xor(sum,and(cin,sum)),and(not(xor(sum,and(cin,sum))),xor(t6,and(cin,sum)))),or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum)))))) )],[refute_0_6250,refute_0_6251]) ).
cnf(refute_0_6253,plain,
xor(xor(Y,X_560),Y) = xor(Y,xor(Y,X_560)),
inference(subst,[],[xor_commutative:[bind(X,$fot(xor(Y,X_560)))]]) ).
cnf(refute_0_6254,plain,
xor(Y,xor(Y,X_560)) = X_560,
inference(subst,[],[refute_0_88:[bind(X_334,$fot(Y)),bind(X_335,$fot(X_560))]]) ).
cnf(refute_0_6255,plain,
( xor(Y,xor(Y,X_560)) != X_560
| xor(xor(Y,X_560),Y) != xor(Y,xor(Y,X_560))
| xor(xor(Y,X_560),Y) = X_560 ),
introduced(tautology,[equality,[$cnf( $equal(xor(xor(Y,X_560),Y),xor(Y,xor(Y,X_560))) ),[1],$fot(X_560)]]) ).
cnf(refute_0_6256,plain,
( xor(xor(Y,X_560),Y) != xor(Y,xor(Y,X_560))
| xor(xor(Y,X_560),Y) = X_560 ),
inference(resolve,[$cnf( $equal(xor(Y,xor(Y,X_560)),X_560) )],[refute_0_6254,refute_0_6255]) ).
cnf(refute_0_6257,plain,
xor(xor(Y,X_560),Y) = X_560,
inference(resolve,[$cnf( $equal(xor(xor(Y,X_560),Y),xor(Y,xor(Y,X_560))) )],[refute_0_6253,refute_0_6256]) ).
cnf(refute_0_6258,plain,
xor(xor(Y,X_560),Y) = xor(Y,xor(X_560,Y)),
inference(subst,[],[refute_0_526:[bind(X,$fot(Y)),bind(Y,$fot(X_560)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_6259,plain,
( xor(xor(Y,X_560),Y) != X_560
| xor(xor(Y,X_560),Y) != xor(Y,xor(X_560,Y))
| xor(Y,xor(X_560,Y)) = X_560 ),
introduced(tautology,[equality,[$cnf( $equal(xor(xor(Y,X_560),Y),X_560) ),[0],$fot(xor(Y,xor(X_560,Y)))]]) ).
cnf(refute_0_6260,plain,
( xor(xor(Y,X_560),Y) != X_560
| xor(Y,xor(X_560,Y)) = X_560 ),
inference(resolve,[$cnf( $equal(xor(xor(Y,X_560),Y),xor(Y,xor(X_560,Y))) )],[refute_0_6258,refute_0_6259]) ).
cnf(refute_0_6261,plain,
xor(Y,xor(X_560,Y)) = X_560,
inference(resolve,[$cnf( $equal(xor(xor(Y,X_560),Y),X_560) )],[refute_0_6257,refute_0_6260]) ).
cnf(refute_0_6262,plain,
xor(and(cin,sum),xor(t7,and(cin,sum))) = t7,
inference(subst,[],[refute_0_6261:[bind(Y,$fot(and(cin,sum))),bind(X_560,$fot(t7))]]) ).
cnf(refute_0_6263,plain,
xor(X,xor(sum,xor(X_561,t6))) = xor(xor(X,sum),xor(X_561,t6)),
inference(subst,[],[xor_associative:[bind(Y,$fot(sum)),bind(Z,$fot(xor(X_561,t6)))]]) ).
cnf(refute_0_6264,plain,
xor(sum,xor(sum,xor(t7,X_385))) = xor(t7,X_385),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(sum)),bind(X_335,$fot(xor(t7,X_385)))]]) ).
cnf(refute_0_6265,plain,
( xor(sum,xor(sum,xor(t7,X_385))) != xor(t7,X_385)
| xor(sum,xor(t7,X_385)) != xor(X_385,t6)
| xor(sum,xor(X_385,t6)) = xor(t7,X_385) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,xor(sum,xor(t7,X_385))),xor(t7,X_385)) ),[0,1],$fot(xor(X_385,t6))]]) ).
cnf(refute_0_6266,plain,
( xor(sum,xor(sum,xor(t7,X_385))) != xor(t7,X_385)
| xor(sum,xor(X_385,t6)) = xor(t7,X_385) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(t7,X_385)),xor(X_385,t6)) )],[refute_0_5997,refute_0_6265]) ).
cnf(refute_0_6267,plain,
xor(sum,xor(X_385,t6)) = xor(t7,X_385),
inference(resolve,[$cnf( $equal(xor(sum,xor(sum,xor(t7,X_385))),xor(t7,X_385)) )],[refute_0_6264,refute_0_6266]) ).
cnf(refute_0_6268,plain,
xor(sum,xor(X_561,t6)) = xor(t7,X_561),
inference(subst,[],[refute_0_6267:[bind(X_385,$fot(X_561))]]) ).
cnf(refute_0_6269,plain,
( xor(X,xor(sum,xor(X_561,t6))) != xor(xor(X,sum),xor(X_561,t6))
| xor(sum,xor(X_561,t6)) != xor(t7,X_561)
| xor(X,xor(t7,X_561)) = xor(xor(X,sum),xor(X_561,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,xor(sum,xor(X_561,t6))),xor(xor(X,sum),xor(X_561,t6))) ),[0,1],$fot(xor(t7,X_561))]]) ).
cnf(refute_0_6270,plain,
( xor(X,xor(sum,xor(X_561,t6))) != xor(xor(X,sum),xor(X_561,t6))
| xor(X,xor(t7,X_561)) = xor(xor(X,sum),xor(X_561,t6)) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(X_561,t6)),xor(t7,X_561)) )],[refute_0_6268,refute_0_6269]) ).
cnf(refute_0_6271,plain,
xor(X,xor(t7,X_561)) = xor(xor(X,sum),xor(X_561,t6)),
inference(resolve,[$cnf( $equal(xor(X,xor(sum,xor(X_561,t6))),xor(xor(X,sum),xor(X_561,t6))) )],[refute_0_6263,refute_0_6270]) ).
cnf(refute_0_6272,plain,
xor(xor(X,sum),X_561) = xor(X,xor(sum,X_561)),
inference(subst,[],[refute_0_526:[bind(Y,$fot(sum)),bind(Z,$fot(X_561))]]) ).
cnf(refute_0_6273,plain,
xor(t6,xor(xor(X,sum),X_561)) = xor(t6,xor(xor(X,sum),X_561)),
introduced(tautology,[refl,[$fot(xor(t6,xor(xor(X,sum),X_561)))]]) ).
cnf(refute_0_6274,plain,
( xor(t6,xor(xor(X,sum),X_561)) != xor(t6,xor(xor(X,sum),X_561))
| xor(xor(X,sum),X_561) != xor(X,xor(sum,X_561))
| xor(t6,xor(xor(X,sum),X_561)) = xor(t6,xor(X,xor(sum,X_561))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,xor(xor(X,sum),X_561)),xor(t6,xor(xor(X,sum),X_561))) ),[1,1],$fot(xor(X,xor(sum,X_561)))]]) ).
cnf(refute_0_6275,plain,
( xor(xor(X,sum),X_561) != xor(X,xor(sum,X_561))
| xor(t6,xor(xor(X,sum),X_561)) = xor(t6,xor(X,xor(sum,X_561))) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(xor(X,sum),X_561)),xor(t6,xor(xor(X,sum),X_561))) )],[refute_0_6273,refute_0_6274]) ).
cnf(refute_0_6276,plain,
xor(t6,xor(xor(X,sum),X_561)) = xor(t6,xor(X,xor(sum,X_561))),
inference(resolve,[$cnf( $equal(xor(xor(X,sum),X_561),xor(X,xor(sum,X_561))) )],[refute_0_6272,refute_0_6275]) ).
cnf(refute_0_6277,plain,
xor(X_545,t6) = xor(sum,xor(t7,X_545)),
inference(subst,[],[refute_0_5995:[bind(X_385,$fot(X_545))]]) ).
cnf(refute_0_6278,plain,
xor(X_545,t7) = xor(t7,X_545),
inference(subst,[],[xor_commutative:[bind(X,$fot(X_545)),bind(Y,$fot(t7))]]) ).
cnf(refute_0_6279,plain,
( xor(X_545,t7) != xor(t7,X_545)
| xor(t7,X_545) = xor(X_545,t7) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X_545,t7))),bind(Y0,$fot(xor(t7,X_545)))]]) ).
cnf(refute_0_6280,plain,
xor(t7,X_545) = xor(X_545,t7),
inference(resolve,[$cnf( $equal(xor(X_545,t7),xor(t7,X_545)) )],[refute_0_6278,refute_0_6279]) ).
cnf(refute_0_6281,plain,
( xor(X_545,t6) != xor(sum,xor(t7,X_545))
| xor(t7,X_545) != xor(X_545,t7)
| xor(X_545,t6) = xor(sum,xor(X_545,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_545,t6),xor(sum,xor(t7,X_545))) ),[1,1],$fot(xor(X_545,t7))]]) ).
cnf(refute_0_6282,plain,
( xor(X_545,t6) != xor(sum,xor(t7,X_545))
| xor(X_545,t6) = xor(sum,xor(X_545,t7)) ),
inference(resolve,[$cnf( $equal(xor(t7,X_545),xor(X_545,t7)) )],[refute_0_6280,refute_0_6281]) ).
cnf(refute_0_6283,plain,
xor(X_545,t6) = xor(sum,xor(X_545,t7)),
inference(resolve,[$cnf( $equal(xor(X_545,t6),xor(sum,xor(t7,X_545))) )],[refute_0_6277,refute_0_6282]) ).
cnf(refute_0_6284,plain,
xor(xor(X,Y),t6) = xor(sum,xor(xor(X,Y),t7)),
inference(subst,[],[refute_0_6283:[bind(X_545,$fot(xor(X,Y)))]]) ).
cnf(refute_0_6285,plain,
xor(X,xor(Y,t6)) = xor(xor(X,Y),t6),
inference(subst,[],[xor_associative:[bind(Z,$fot(t6))]]) ).
cnf(refute_0_6286,plain,
( xor(X,xor(Y,t6)) != xor(xor(X,Y),t6)
| xor(xor(X,Y),t6) = xor(X,xor(Y,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X,xor(Y,t6)))),bind(Y0,$fot(xor(xor(X,Y),t6)))]]) ).
cnf(refute_0_6287,plain,
xor(xor(X,Y),t6) = xor(X,xor(Y,t6)),
inference(resolve,[$cnf( $equal(xor(X,xor(Y,t6)),xor(xor(X,Y),t6)) )],[refute_0_6285,refute_0_6286]) ).
cnf(refute_0_6288,plain,
( xor(xor(X,Y),t6) != xor(X,xor(Y,t6))
| xor(xor(X,Y),t6) != xor(sum,xor(xor(X,Y),t7))
| xor(X,xor(Y,t6)) = xor(sum,xor(xor(X,Y),t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(xor(X,Y),t6),xor(sum,xor(xor(X,Y),t7))) ),[0],$fot(xor(X,xor(Y,t6)))]]) ).
cnf(refute_0_6289,plain,
( xor(xor(X,Y),t6) != xor(sum,xor(xor(X,Y),t7))
| xor(X,xor(Y,t6)) = xor(sum,xor(xor(X,Y),t7)) ),
inference(resolve,[$cnf( $equal(xor(xor(X,Y),t6),xor(X,xor(Y,t6))) )],[refute_0_6287,refute_0_6288]) ).
cnf(refute_0_6290,plain,
xor(X,xor(Y,t6)) = xor(sum,xor(xor(X,Y),t7)),
inference(resolve,[$cnf( $equal(xor(xor(X,Y),t6),xor(sum,xor(xor(X,Y),t7))) )],[refute_0_6284,refute_0_6289]) ).
cnf(refute_0_6291,plain,
xor(xor(X,Y),t6) = xor(t6,xor(X,Y)),
inference(subst,[],[refute_0_1484:[bind(X_333,$fot(xor(X,Y)))]]) ).
cnf(refute_0_6292,plain,
( xor(X_545,t6) != xor(sum,xor(X_545,t7))
| xor(sum,xor(X_545,t7)) = xor(X_545,t6) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X_545,t6))),bind(Y0,$fot(xor(sum,xor(X_545,t7))))]]) ).
cnf(refute_0_6293,plain,
xor(sum,xor(X_545,t7)) = xor(X_545,t6),
inference(resolve,[$cnf( $equal(xor(X_545,t6),xor(sum,xor(X_545,t7))) )],[refute_0_6283,refute_0_6292]) ).
cnf(refute_0_6294,plain,
xor(sum,xor(xor(X,Y),t7)) = xor(xor(X,Y),t6),
inference(subst,[],[refute_0_6293:[bind(X_545,$fot(xor(X,Y)))]]) ).
cnf(refute_0_6295,plain,
( xor(sum,xor(xor(X,Y),t7)) != xor(xor(X,Y),t6)
| xor(xor(X,Y),t6) != xor(t6,xor(X,Y))
| xor(sum,xor(xor(X,Y),t7)) = xor(t6,xor(X,Y)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(sum,xor(xor(X,Y),t7)))),bind(Y0,$fot(xor(xor(X,Y),t6))),bind(Z0,$fot(xor(t6,xor(X,Y))))]]) ).
cnf(refute_0_6296,plain,
( xor(xor(X,Y),t6) != xor(t6,xor(X,Y))
| xor(sum,xor(xor(X,Y),t7)) = xor(t6,xor(X,Y)) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(xor(X,Y),t7)),xor(xor(X,Y),t6)) )],[refute_0_6294,refute_0_6295]) ).
cnf(refute_0_6297,plain,
xor(sum,xor(xor(X,Y),t7)) = xor(t6,xor(X,Y)),
inference(resolve,[$cnf( $equal(xor(xor(X,Y),t6),xor(t6,xor(X,Y))) )],[refute_0_6291,refute_0_6296]) ).
cnf(refute_0_6298,plain,
( xor(X,xor(Y,t6)) != xor(sum,xor(xor(X,Y),t7))
| xor(sum,xor(xor(X,Y),t7)) != xor(t6,xor(X,Y))
| xor(X,xor(Y,t6)) = xor(t6,xor(X,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(X,xor(Y,t6)),xor(t6,xor(X,Y))) ),[0],$fot(xor(sum,xor(xor(X,Y),t7)))]]) ).
cnf(refute_0_6299,plain,
( xor(X,xor(Y,t6)) != xor(sum,xor(xor(X,Y),t7))
| xor(X,xor(Y,t6)) = xor(t6,xor(X,Y)) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(xor(X,Y),t7)),xor(t6,xor(X,Y))) )],[refute_0_6297,refute_0_6298]) ).
cnf(refute_0_6300,plain,
xor(X,xor(Y,t6)) = xor(t6,xor(X,Y)),
inference(resolve,[$cnf( $equal(xor(X,xor(Y,t6)),xor(sum,xor(xor(X,Y),t7))) )],[refute_0_6290,refute_0_6299]) ).
cnf(refute_0_6301,plain,
xor(xor(X,sum),xor(X_561,t6)) = xor(t6,xor(xor(X,sum),X_561)),
inference(subst,[],[refute_0_6300:[bind(X,$fot(xor(X,sum))),bind(Y,$fot(X_561))]]) ).
cnf(refute_0_6302,plain,
( xor(t6,xor(xor(X,sum),X_561)) != xor(t6,xor(X,xor(sum,X_561)))
| xor(xor(X,sum),xor(X_561,t6)) != xor(t6,xor(xor(X,sum),X_561))
| xor(xor(X,sum),xor(X_561,t6)) = xor(t6,xor(X,xor(sum,X_561))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X,sum),xor(X_561,t6)))),bind(Y0,$fot(xor(t6,xor(xor(X,sum),X_561)))),bind(Z0,$fot(xor(t6,xor(X,xor(sum,X_561)))))]]) ).
cnf(refute_0_6303,plain,
( xor(t6,xor(xor(X,sum),X_561)) != xor(t6,xor(X,xor(sum,X_561)))
| xor(xor(X,sum),xor(X_561,t6)) = xor(t6,xor(X,xor(sum,X_561))) ),
inference(resolve,[$cnf( $equal(xor(xor(X,sum),xor(X_561,t6)),xor(t6,xor(xor(X,sum),X_561))) )],[refute_0_6301,refute_0_6302]) ).
cnf(refute_0_6304,plain,
xor(xor(X,sum),xor(X_561,t6)) = xor(t6,xor(X,xor(sum,X_561))),
inference(resolve,[$cnf( $equal(xor(t6,xor(xor(X,sum),X_561)),xor(t6,xor(X,xor(sum,X_561)))) )],[refute_0_6276,refute_0_6303]) ).
cnf(refute_0_6305,plain,
( xor(X,xor(t7,X_561)) != xor(xor(X,sum),xor(X_561,t6))
| xor(xor(X,sum),xor(X_561,t6)) != xor(t6,xor(X,xor(sum,X_561)))
| xor(X,xor(t7,X_561)) = xor(t6,xor(X,xor(sum,X_561))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(X,xor(t7,X_561)),xor(t6,xor(X,xor(sum,X_561)))) ),[0],$fot(xor(xor(X,sum),xor(X_561,t6)))]]) ).
cnf(refute_0_6306,plain,
( xor(X,xor(t7,X_561)) != xor(xor(X,sum),xor(X_561,t6))
| xor(X,xor(t7,X_561)) = xor(t6,xor(X,xor(sum,X_561))) ),
inference(resolve,[$cnf( $equal(xor(xor(X,sum),xor(X_561,t6)),xor(t6,xor(X,xor(sum,X_561)))) )],[refute_0_6304,refute_0_6305]) ).
cnf(refute_0_6307,plain,
xor(X,xor(t7,X_561)) = xor(t6,xor(X,xor(sum,X_561))),
inference(resolve,[$cnf( $equal(xor(X,xor(t7,X_561)),xor(xor(X,sum),xor(X_561,t6))) )],[refute_0_6271,refute_0_6306]) ).
cnf(refute_0_6308,plain,
( xor(X,xor(t7,X_561)) != xor(t6,xor(X,xor(sum,X_561)))
| xor(t6,xor(X,xor(sum,X_561))) = xor(X,xor(t7,X_561)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X,xor(t7,X_561)))),bind(Y0,$fot(xor(t6,xor(X,xor(sum,X_561)))))]]) ).
cnf(refute_0_6309,plain,
xor(t6,xor(X,xor(sum,X_561))) = xor(X,xor(t7,X_561)),
inference(resolve,[$cnf( $equal(xor(X,xor(t7,X_561)),xor(t6,xor(X,xor(sum,X_561)))) )],[refute_0_6307,refute_0_6308]) ).
cnf(refute_0_6310,plain,
xor(t6,xor(and(cin,sum),xor(sum,and(cin,sum)))) = xor(and(cin,sum),xor(t7,and(cin,sum))),
inference(subst,[],[refute_0_6309:[bind(X,$fot(and(cin,sum))),bind(X_561,$fot(and(cin,sum)))]]) ).
cnf(refute_0_6311,plain,
( xor(and(cin,sum),xor(t7,and(cin,sum))) != t7
| xor(t6,xor(and(cin,sum),xor(sum,and(cin,sum)))) != xor(and(cin,sum),xor(t7,and(cin,sum)))
| xor(t6,xor(and(cin,sum),xor(sum,and(cin,sum)))) = t7 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,xor(and(cin,sum),xor(sum,and(cin,sum)))))),bind(Y0,$fot(xor(and(cin,sum),xor(t7,and(cin,sum))))),bind(Z0,$fot(t7))]]) ).
cnf(refute_0_6312,plain,
( xor(and(cin,sum),xor(t7,and(cin,sum))) != t7
| xor(t6,xor(and(cin,sum),xor(sum,and(cin,sum)))) = t7 ),
inference(resolve,[$cnf( $equal(xor(t6,xor(and(cin,sum),xor(sum,and(cin,sum)))),xor(and(cin,sum),xor(t7,and(cin,sum)))) )],[refute_0_6310,refute_0_6311]) ).
cnf(refute_0_6313,plain,
xor(t6,xor(and(cin,sum),xor(sum,and(cin,sum)))) = t7,
inference(resolve,[$cnf( $equal(xor(and(cin,sum),xor(t7,and(cin,sum))),t7) )],[refute_0_6262,refute_0_6312]) ).
cnf(refute_0_6314,plain,
xor(t6,xor(xor(sum,and(cin,sum)),and(cin,sum))) = xor(t6,xor(and(cin,sum),xor(sum,and(cin,sum)))),
inference(subst,[],[refute_0_2105:[bind(X_333,$fot(t6)),bind(X_334,$fot(xor(sum,and(cin,sum)))),bind(X_335,$fot(and(cin,sum)))]]) ).
cnf(refute_0_6315,plain,
( xor(t6,xor(and(cin,sum),xor(sum,and(cin,sum)))) != t7
| xor(t6,xor(xor(sum,and(cin,sum)),and(cin,sum))) != xor(t6,xor(and(cin,sum),xor(sum,and(cin,sum))))
| xor(t6,xor(xor(sum,and(cin,sum)),and(cin,sum))) = t7 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,xor(xor(sum,and(cin,sum)),and(cin,sum))))),bind(Y0,$fot(xor(t6,xor(and(cin,sum),xor(sum,and(cin,sum)))))),bind(Z0,$fot(t7))]]) ).
cnf(refute_0_6316,plain,
( xor(t6,xor(and(cin,sum),xor(sum,and(cin,sum)))) != t7
| xor(t6,xor(xor(sum,and(cin,sum)),and(cin,sum))) = t7 ),
inference(resolve,[$cnf( $equal(xor(t6,xor(xor(sum,and(cin,sum)),and(cin,sum))),xor(t6,xor(and(cin,sum),xor(sum,and(cin,sum))))) )],[refute_0_6314,refute_0_6315]) ).
cnf(refute_0_6317,plain,
xor(t6,xor(xor(sum,and(cin,sum)),and(cin,sum))) = t7,
inference(resolve,[$cnf( $equal(xor(t6,xor(and(cin,sum),xor(sum,and(cin,sum)))),t7) )],[refute_0_6313,refute_0_6316]) ).
cnf(refute_0_6318,plain,
xor(sum,xor(xor(t7,X_545),Z)) = xor(xor(sum,xor(t7,X_545)),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(sum)),bind(Y,$fot(xor(t7,X_545)))]]) ).
cnf(refute_0_6319,plain,
( xor(X_545,t6) != xor(sum,xor(t7,X_545))
| xor(sum,xor(t7,X_545)) = xor(X_545,t6) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X_545,t6))),bind(Y0,$fot(xor(sum,xor(t7,X_545))))]]) ).
cnf(refute_0_6320,plain,
xor(sum,xor(t7,X_545)) = xor(X_545,t6),
inference(resolve,[$cnf( $equal(xor(X_545,t6),xor(sum,xor(t7,X_545))) )],[refute_0_6277,refute_0_6319]) ).
cnf(refute_0_6321,plain,
( xor(sum,xor(t7,X_545)) != xor(X_545,t6)
| xor(sum,xor(xor(t7,X_545),Z)) != xor(xor(sum,xor(t7,X_545)),Z)
| xor(sum,xor(xor(t7,X_545),Z)) = xor(xor(X_545,t6),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,xor(xor(t7,X_545),Z)),xor(xor(sum,xor(t7,X_545)),Z)) ),[1,0],$fot(xor(X_545,t6))]]) ).
cnf(refute_0_6322,plain,
( xor(sum,xor(xor(t7,X_545),Z)) != xor(xor(sum,xor(t7,X_545)),Z)
| xor(sum,xor(xor(t7,X_545),Z)) = xor(xor(X_545,t6),Z) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(t7,X_545)),xor(X_545,t6)) )],[refute_0_6320,refute_0_6321]) ).
cnf(refute_0_6323,plain,
xor(sum,xor(xor(t7,X_545),Z)) = xor(xor(X_545,t6),Z),
inference(resolve,[$cnf( $equal(xor(sum,xor(xor(t7,X_545),Z)),xor(xor(sum,xor(t7,X_545)),Z)) )],[refute_0_6318,refute_0_6322]) ).
cnf(refute_0_6324,plain,
xor(xor(X_545,Z),t6) = xor(t6,xor(X_545,Z)),
inference(subst,[],[refute_0_1484:[bind(X_333,$fot(xor(X_545,Z)))]]) ).
cnf(refute_0_6325,plain,
xor(sum,xor(t7,xor(X_545,Z))) = xor(xor(X_545,Z),t6),
inference(subst,[],[refute_0_5997:[bind(X_385,$fot(xor(X_545,Z)))]]) ).
cnf(refute_0_6326,plain,
( xor(sum,xor(t7,xor(X_545,Z))) != xor(xor(X_545,Z),t6)
| xor(xor(X_545,Z),t6) != xor(t6,xor(X_545,Z))
| xor(sum,xor(t7,xor(X_545,Z))) = xor(t6,xor(X_545,Z)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(sum,xor(t7,xor(X_545,Z))))),bind(Y0,$fot(xor(xor(X_545,Z),t6))),bind(Z0,$fot(xor(t6,xor(X_545,Z))))]]) ).
cnf(refute_0_6327,plain,
( xor(xor(X_545,Z),t6) != xor(t6,xor(X_545,Z))
| xor(sum,xor(t7,xor(X_545,Z))) = xor(t6,xor(X_545,Z)) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(t7,xor(X_545,Z))),xor(xor(X_545,Z),t6)) )],[refute_0_6325,refute_0_6326]) ).
cnf(refute_0_6328,plain,
xor(sum,xor(t7,xor(X_545,Z))) = xor(t6,xor(X_545,Z)),
inference(resolve,[$cnf( $equal(xor(xor(X_545,Z),t6),xor(t6,xor(X_545,Z))) )],[refute_0_6324,refute_0_6327]) ).
cnf(refute_0_6329,plain,
xor(xor(t7,X_545),Z) = xor(t7,xor(X_545,Z)),
inference(subst,[],[refute_0_526:[bind(X,$fot(t7)),bind(Y,$fot(X_545))]]) ).
cnf(refute_0_6330,plain,
xor(sum,xor(xor(t7,X_545),Z)) = xor(sum,xor(xor(t7,X_545),Z)),
introduced(tautology,[refl,[$fot(xor(sum,xor(xor(t7,X_545),Z)))]]) ).
cnf(refute_0_6331,plain,
( xor(sum,xor(xor(t7,X_545),Z)) != xor(sum,xor(xor(t7,X_545),Z))
| xor(xor(t7,X_545),Z) != xor(t7,xor(X_545,Z))
| xor(sum,xor(xor(t7,X_545),Z)) = xor(sum,xor(t7,xor(X_545,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,xor(xor(t7,X_545),Z)),xor(sum,xor(xor(t7,X_545),Z))) ),[1,1],$fot(xor(t7,xor(X_545,Z)))]]) ).
cnf(refute_0_6332,plain,
( xor(xor(t7,X_545),Z) != xor(t7,xor(X_545,Z))
| xor(sum,xor(xor(t7,X_545),Z)) = xor(sum,xor(t7,xor(X_545,Z))) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(xor(t7,X_545),Z)),xor(sum,xor(xor(t7,X_545),Z))) )],[refute_0_6330,refute_0_6331]) ).
cnf(refute_0_6333,plain,
xor(sum,xor(xor(t7,X_545),Z)) = xor(sum,xor(t7,xor(X_545,Z))),
inference(resolve,[$cnf( $equal(xor(xor(t7,X_545),Z),xor(t7,xor(X_545,Z))) )],[refute_0_6329,refute_0_6332]) ).
cnf(refute_0_6334,plain,
( xor(sum,xor(t7,xor(X_545,Z))) != xor(t6,xor(X_545,Z))
| xor(sum,xor(xor(t7,X_545),Z)) != xor(sum,xor(t7,xor(X_545,Z)))
| xor(sum,xor(xor(t7,X_545),Z)) = xor(t6,xor(X_545,Z)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(sum,xor(xor(t7,X_545),Z)))),bind(Y0,$fot(xor(sum,xor(t7,xor(X_545,Z))))),bind(Z0,$fot(xor(t6,xor(X_545,Z))))]]) ).
cnf(refute_0_6335,plain,
( xor(sum,xor(t7,xor(X_545,Z))) != xor(t6,xor(X_545,Z))
| xor(sum,xor(xor(t7,X_545),Z)) = xor(t6,xor(X_545,Z)) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(xor(t7,X_545),Z)),xor(sum,xor(t7,xor(X_545,Z)))) )],[refute_0_6333,refute_0_6334]) ).
cnf(refute_0_6336,plain,
xor(sum,xor(xor(t7,X_545),Z)) = xor(t6,xor(X_545,Z)),
inference(resolve,[$cnf( $equal(xor(sum,xor(t7,xor(X_545,Z))),xor(t6,xor(X_545,Z))) )],[refute_0_6328,refute_0_6335]) ).
cnf(refute_0_6337,plain,
( xor(sum,xor(xor(t7,X_545),Z)) != xor(t6,xor(X_545,Z))
| xor(sum,xor(xor(t7,X_545),Z)) != xor(xor(X_545,t6),Z)
| xor(t6,xor(X_545,Z)) = xor(xor(X_545,t6),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,xor(xor(t7,X_545),Z)),xor(xor(X_545,t6),Z)) ),[0],$fot(xor(t6,xor(X_545,Z)))]]) ).
cnf(refute_0_6338,plain,
( xor(sum,xor(xor(t7,X_545),Z)) != xor(xor(X_545,t6),Z)
| xor(t6,xor(X_545,Z)) = xor(xor(X_545,t6),Z) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(xor(t7,X_545),Z)),xor(t6,xor(X_545,Z))) )],[refute_0_6336,refute_0_6337]) ).
cnf(refute_0_6339,plain,
xor(xor(X_545,t6),Z) = xor(X_545,xor(t6,Z)),
inference(subst,[],[refute_0_526:[bind(X,$fot(X_545)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_6340,plain,
( xor(t6,xor(X_545,Z)) != xor(xor(X_545,t6),Z)
| xor(xor(X_545,t6),Z) != xor(X_545,xor(t6,Z))
| xor(t6,xor(X_545,Z)) = xor(X_545,xor(t6,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(t6,xor(X_545,Z)),xor(X_545,xor(t6,Z))) ),[0],$fot(xor(xor(X_545,t6),Z))]]) ).
cnf(refute_0_6341,plain,
( xor(t6,xor(X_545,Z)) != xor(xor(X_545,t6),Z)
| xor(t6,xor(X_545,Z)) = xor(X_545,xor(t6,Z)) ),
inference(resolve,[$cnf( $equal(xor(xor(X_545,t6),Z),xor(X_545,xor(t6,Z))) )],[refute_0_6339,refute_0_6340]) ).
cnf(refute_0_6342,plain,
( xor(sum,xor(xor(t7,X_545),Z)) != xor(xor(X_545,t6),Z)
| xor(t6,xor(X_545,Z)) = xor(X_545,xor(t6,Z)) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(X_545,Z)),xor(xor(X_545,t6),Z)) )],[refute_0_6338,refute_0_6341]) ).
cnf(refute_0_6343,plain,
xor(t6,xor(X_545,Z)) = xor(X_545,xor(t6,Z)),
inference(resolve,[$cnf( $equal(xor(sum,xor(xor(t7,X_545),Z)),xor(xor(X_545,t6),Z)) )],[refute_0_6323,refute_0_6342]) ).
cnf(refute_0_6344,plain,
( xor(t6,xor(X_545,Z)) != xor(X_545,xor(t6,Z))
| xor(X_545,xor(t6,Z)) = xor(t6,xor(X_545,Z)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t6,xor(X_545,Z)))),bind(Y0,$fot(xor(X_545,xor(t6,Z))))]]) ).
cnf(refute_0_6345,plain,
xor(X_545,xor(t6,Z)) = xor(t6,xor(X_545,Z)),
inference(resolve,[$cnf( $equal(xor(t6,xor(X_545,Z)),xor(X_545,xor(t6,Z))) )],[refute_0_6343,refute_0_6344]) ).
cnf(refute_0_6346,plain,
xor(xor(sum,and(cin,sum)),xor(t6,and(cin,sum))) = xor(t6,xor(xor(sum,and(cin,sum)),and(cin,sum))),
inference(subst,[],[refute_0_6345:[bind(Z,$fot(and(cin,sum))),bind(X_545,$fot(xor(sum,and(cin,sum))))]]) ).
cnf(refute_0_6347,plain,
( xor(t6,xor(xor(sum,and(cin,sum)),and(cin,sum))) != t7
| xor(xor(sum,and(cin,sum)),xor(t6,and(cin,sum))) != xor(t6,xor(xor(sum,and(cin,sum)),and(cin,sum)))
| xor(xor(sum,and(cin,sum)),xor(t6,and(cin,sum))) = t7 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(sum,and(cin,sum)),xor(t6,and(cin,sum))))),bind(Y0,$fot(xor(t6,xor(xor(sum,and(cin,sum)),and(cin,sum))))),bind(Z0,$fot(t7))]]) ).
cnf(refute_0_6348,plain,
( xor(t6,xor(xor(sum,and(cin,sum)),and(cin,sum))) != t7
| xor(xor(sum,and(cin,sum)),xor(t6,and(cin,sum))) = t7 ),
inference(resolve,[$cnf( $equal(xor(xor(sum,and(cin,sum)),xor(t6,and(cin,sum))),xor(t6,xor(xor(sum,and(cin,sum)),and(cin,sum)))) )],[refute_0_6346,refute_0_6347]) ).
cnf(refute_0_6349,plain,
xor(xor(sum,and(cin,sum)),xor(t6,and(cin,sum))) = t7,
inference(resolve,[$cnf( $equal(xor(t6,xor(xor(sum,and(cin,sum)),and(cin,sum))),t7) )],[refute_0_6317,refute_0_6348]) ).
cnf(refute_0_6350,plain,
( or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))) != xor(xor(sum,and(cin,sum)),xor(t6,and(cin,sum)))
| xor(xor(sum,and(cin,sum)),xor(t6,and(cin,sum))) != t7
| or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))) = t7 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))),t7) ),[0],$fot(xor(xor(sum,and(cin,sum)),xor(t6,and(cin,sum))))]]) ).
cnf(refute_0_6351,plain,
( or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))) != xor(xor(sum,and(cin,sum)),xor(t6,and(cin,sum)))
| or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))) = t7 ),
inference(resolve,[$cnf( $equal(xor(xor(sum,and(cin,sum)),xor(t6,and(cin,sum))),t7) )],[refute_0_6349,refute_0_6350]) ).
cnf(refute_0_6352,plain,
( or(xor(sum,and(cin,sum)),and(not(xor(sum,and(cin,sum))),xor(t6,and(cin,sum)))) != xor(xor(sum,and(cin,sum)),xor(t6,and(cin,sum)))
| or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))) = t7 ),
inference(resolve,[$cnf( $equal(or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))),xor(xor(sum,and(cin,sum)),xor(t6,and(cin,sum)))) )],[refute_0_6252,refute_0_6351]) ).
cnf(refute_0_6353,plain,
or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))) = t7,
inference(resolve,[$cnf( $equal(or(xor(sum,and(cin,sum)),and(not(xor(sum,and(cin,sum))),xor(t6,and(cin,sum)))),xor(xor(sum,and(cin,sum)),xor(t6,and(cin,sum)))) )],[refute_0_6245,refute_0_6352]) ).
cnf(refute_0_6354,plain,
and(xor(t6,and(cin,sum)),or(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))) = xor(t6,and(cin,sum)),
inference(subst,[],[and_absorption:[bind(X,$fot(xor(t6,and(cin,sum)))),bind(Y,$fot(not(xor(sum,and(cin,sum)))))]]) ).
cnf(refute_0_6355,plain,
not(and(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum)))) = not(and(xor(sum,and(cin,sum)),not(xor(t6,and(cin,sum))))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(xor(sum,and(cin,sum)))),bind(X_32,$fot(not(xor(t6,and(cin,sum)))))]]) ).
cnf(refute_0_6356,plain,
( and(xor(sum,and(cin,sum)),not(xor(t6,and(cin,sum)))) != xor(sum,and(cin,sum))
| not(and(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum)))) != not(and(xor(sum,and(cin,sum)),not(xor(t6,and(cin,sum)))))
| not(and(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum)))) = not(xor(sum,and(cin,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum)))),not(and(xor(sum,and(cin,sum)),not(xor(t6,and(cin,sum)))))) ),[1,0],$fot(xor(sum,and(cin,sum)))]]) ).
cnf(refute_0_6357,plain,
( not(and(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum)))) != not(and(xor(sum,and(cin,sum)),not(xor(t6,and(cin,sum)))))
| not(and(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum)))) = not(xor(sum,and(cin,sum))) ),
inference(resolve,[$cnf( $equal(and(xor(sum,and(cin,sum)),not(xor(t6,and(cin,sum)))),xor(sum,and(cin,sum))) )],[refute_0_6242,refute_0_6356]) ).
cnf(refute_0_6358,plain,
not(and(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum)))) = not(xor(sum,and(cin,sum))),
inference(resolve,[$cnf( $equal(not(and(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum)))),not(and(xor(sum,and(cin,sum)),not(xor(t6,and(cin,sum)))))) )],[refute_0_6355,refute_0_6357]) ).
cnf(refute_0_6359,plain,
not(and(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum)))) = or(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum)))),
inference(subst,[],[refute_0_787:[bind(X,$fot(xor(t6,and(cin,sum)))),bind(X_32,$fot(xor(sum,and(cin,sum))))]]) ).
cnf(refute_0_6360,plain,
( not(and(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum)))) != not(xor(sum,and(cin,sum)))
| not(and(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum)))) != or(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))
| or(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum)))) = not(xor(sum,and(cin,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum)))),not(xor(sum,and(cin,sum)))) ),[0],$fot(or(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum)))))]]) ).
cnf(refute_0_6361,plain,
( not(and(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum)))) != not(xor(sum,and(cin,sum)))
| or(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum)))) = not(xor(sum,and(cin,sum))) ),
inference(resolve,[$cnf( $equal(not(and(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum)))),or(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))) )],[refute_0_6359,refute_0_6360]) ).
cnf(refute_0_6362,plain,
or(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum)))) = not(xor(sum,and(cin,sum))),
inference(resolve,[$cnf( $equal(not(and(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum)))),not(xor(sum,and(cin,sum)))) )],[refute_0_6358,refute_0_6361]) ).
cnf(refute_0_6363,plain,
( and(xor(t6,and(cin,sum)),or(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))) != xor(t6,and(cin,sum))
| or(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum)))) != not(xor(sum,and(cin,sum)))
| and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum)))) = xor(t6,and(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t6,and(cin,sum)),or(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))),xor(t6,and(cin,sum))) ),[0,1],$fot(not(xor(sum,and(cin,sum))))]]) ).
cnf(refute_0_6364,plain,
( and(xor(t6,and(cin,sum)),or(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))) != xor(t6,and(cin,sum))
| and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum)))) = xor(t6,and(cin,sum)) ),
inference(resolve,[$cnf( $equal(or(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum)))),not(xor(sum,and(cin,sum)))) )],[refute_0_6362,refute_0_6363]) ).
cnf(refute_0_6365,plain,
and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum)))) = xor(t6,and(cin,sum)),
inference(resolve,[$cnf( $equal(and(xor(t6,and(cin,sum)),or(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))),xor(t6,and(cin,sum))) )],[refute_0_6354,refute_0_6364]) ).
cnf(refute_0_6366,plain,
or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))) = or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))),
introduced(tautology,[refl,[$fot(or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))))]]) ).
cnf(refute_0_6367,plain,
( and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum)))) != xor(t6,and(cin,sum))
| or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))) != or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum)))))
| or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))) = or(xor(sum,and(cin,sum)),xor(t6,and(cin,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))),or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum)))))) ),[1,1],$fot(xor(t6,and(cin,sum)))]]) ).
cnf(refute_0_6368,plain,
( and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum)))) != xor(t6,and(cin,sum))
| or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))) = or(xor(sum,and(cin,sum)),xor(t6,and(cin,sum))) ),
inference(resolve,[$cnf( $equal(or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))),or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum)))))) )],[refute_0_6366,refute_0_6367]) ).
cnf(refute_0_6369,plain,
or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))) = or(xor(sum,and(cin,sum)),xor(t6,and(cin,sum))),
inference(resolve,[$cnf( $equal(and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum)))),xor(t6,and(cin,sum))) )],[refute_0_6365,refute_0_6368]) ).
cnf(refute_0_6370,plain,
( or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))) != or(xor(sum,and(cin,sum)),xor(t6,and(cin,sum)))
| or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))) != t7
| or(xor(sum,and(cin,sum)),xor(t6,and(cin,sum))) = t7 ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))),t7) ),[0],$fot(or(xor(sum,and(cin,sum)),xor(t6,and(cin,sum))))]]) ).
cnf(refute_0_6371,plain,
( or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))) != t7
| or(xor(sum,and(cin,sum)),xor(t6,and(cin,sum))) = t7 ),
inference(resolve,[$cnf( $equal(or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))),or(xor(sum,and(cin,sum)),xor(t6,and(cin,sum)))) )],[refute_0_6369,refute_0_6370]) ).
cnf(refute_0_6372,plain,
or(xor(sum,and(cin,sum)),xor(t6,and(cin,sum))) = t7,
inference(resolve,[$cnf( $equal(or(xor(sum,and(cin,sum)),and(xor(t6,and(cin,sum)),not(xor(sum,and(cin,sum))))),t7) )],[refute_0_6353,refute_0_6371]) ).
cnf(refute_0_6373,plain,
( and(xor(t6,and(cin,sum)),or(xor(sum,and(cin,sum)),xor(t6,and(cin,sum)))) != xor(t6,and(cin,sum))
| or(xor(sum,and(cin,sum)),xor(t6,and(cin,sum))) != t7
| and(xor(t6,and(cin,sum)),t7) = xor(t6,and(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t6,and(cin,sum)),or(xor(sum,and(cin,sum)),xor(t6,and(cin,sum)))),xor(t6,and(cin,sum))) ),[0,1],$fot(t7)]]) ).
cnf(refute_0_6374,plain,
( and(xor(t6,and(cin,sum)),or(xor(sum,and(cin,sum)),xor(t6,and(cin,sum)))) != xor(t6,and(cin,sum))
| and(xor(t6,and(cin,sum)),t7) = xor(t6,and(cin,sum)) ),
inference(resolve,[$cnf( $equal(or(xor(sum,and(cin,sum)),xor(t6,and(cin,sum))),t7) )],[refute_0_6372,refute_0_6373]) ).
cnf(refute_0_6375,plain,
and(xor(t6,and(cin,sum)),t7) = xor(t6,and(cin,sum)),
inference(resolve,[$cnf( $equal(and(xor(t6,and(cin,sum)),or(xor(sum,and(cin,sum)),xor(t6,and(cin,sum)))),xor(t6,and(cin,sum))) )],[refute_0_6226,refute_0_6374]) ).
cnf(refute_0_6376,plain,
and(xor(t6,and(cin,sum)),t7) = and(t7,xor(t6,and(cin,sum))),
inference(subst,[],[refute_0_116:[bind(X,$fot(t7)),bind(Y,$fot(xor(t6,and(cin,sum))))]]) ).
cnf(refute_0_6377,plain,
( and(xor(t6,and(cin,sum)),t7) != and(t7,xor(t6,and(cin,sum)))
| and(xor(t6,and(cin,sum)),t7) != xor(t6,and(cin,sum))
| and(t7,xor(t6,and(cin,sum))) = xor(t6,and(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t6,and(cin,sum)),t7),xor(t6,and(cin,sum))) ),[0],$fot(and(t7,xor(t6,and(cin,sum))))]]) ).
cnf(refute_0_6378,plain,
( and(xor(t6,and(cin,sum)),t7) != xor(t6,and(cin,sum))
| and(t7,xor(t6,and(cin,sum))) = xor(t6,and(cin,sum)) ),
inference(resolve,[$cnf( $equal(and(xor(t6,and(cin,sum)),t7),and(t7,xor(t6,and(cin,sum)))) )],[refute_0_6376,refute_0_6377]) ).
cnf(refute_0_6379,plain,
and(t7,xor(t6,and(cin,sum))) = xor(t6,and(cin,sum)),
inference(resolve,[$cnf( $equal(and(xor(t6,and(cin,sum)),t7),xor(t6,and(cin,sum))) )],[refute_0_6375,refute_0_6378]) ).
cnf(refute_0_6380,plain,
( and(not(cin),xor(t6,and(cin,sum))) != and(t5,and(t7,xor(t6,and(cin,sum))))
| and(t7,xor(t6,and(cin,sum))) != xor(t6,and(cin,sum))
| and(not(cin),xor(t6,and(cin,sum))) = and(t5,xor(t6,and(cin,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(cin),xor(t6,and(cin,sum))),and(t5,and(t7,xor(t6,and(cin,sum))))) ),[1,1],$fot(xor(t6,and(cin,sum)))]]) ).
cnf(refute_0_6381,plain,
( and(not(cin),xor(t6,and(cin,sum))) != and(t5,and(t7,xor(t6,and(cin,sum))))
| and(not(cin),xor(t6,and(cin,sum))) = and(t5,xor(t6,and(cin,sum))) ),
inference(resolve,[$cnf( $equal(and(t7,xor(t6,and(cin,sum))),xor(t6,and(cin,sum))) )],[refute_0_6379,refute_0_6380]) ).
cnf(refute_0_6382,plain,
and(not(cin),xor(t6,and(cin,sum))) = and(t5,xor(t6,and(cin,sum))),
inference(resolve,[$cnf( $equal(and(not(cin),xor(t6,and(cin,sum))),and(t5,and(t7,xor(t6,and(cin,sum))))) )],[refute_0_6225,refute_0_6381]) ).
cnf(refute_0_6383,plain,
and(not(t4),not(and(cin,X_55))) = and(t5,and(t6,not(and(cin,X_55)))),
inference(subst,[],[refute_0_5450:[bind(Z,$fot(not(and(cin,X_55))))]]) ).
cnf(refute_0_6384,plain,
( and(not(t4),not(and(cin,X_55))) != and(t5,and(t6,not(and(cin,X_55))))
| and(t6,not(and(cin,X_55))) != xor(t6,and(cin,X_55))
| and(not(t4),not(and(cin,X_55))) = and(t5,xor(t6,and(cin,X_55))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),not(and(cin,X_55))),and(t5,and(t6,not(and(cin,X_55))))) ),[1,1],$fot(xor(t6,and(cin,X_55)))]]) ).
cnf(refute_0_6385,plain,
( and(not(t4),not(and(cin,X_55))) != and(t5,and(t6,not(and(cin,X_55))))
| and(not(t4),not(and(cin,X_55))) = and(t5,xor(t6,and(cin,X_55))) ),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,X_55))),xor(t6,and(cin,X_55))) )],[refute_0_1092,refute_0_6384]) ).
cnf(refute_0_6386,plain,
and(not(t4),not(and(cin,X_55))) = and(t5,xor(t6,and(cin,X_55))),
inference(resolve,[$cnf( $equal(and(not(t4),not(and(cin,X_55))),and(t5,and(t6,not(and(cin,X_55))))) )],[refute_0_6383,refute_0_6385]) ).
cnf(refute_0_6387,plain,
and(not(t4),not(and(cin,X_55))) = not(or(t4,and(cin,X_55))),
inference(subst,[],[refute_0_101:[bind(X,$fot(t4)),bind(Y,$fot(and(cin,X_55)))]]) ).
cnf(refute_0_6388,plain,
( and(not(t4),not(and(cin,X_55))) != and(t5,xor(t6,and(cin,X_55)))
| and(not(t4),not(and(cin,X_55))) != not(or(t4,and(cin,X_55)))
| not(or(t4,and(cin,X_55))) = and(t5,xor(t6,and(cin,X_55))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),not(and(cin,X_55))),and(t5,xor(t6,and(cin,X_55)))) ),[0],$fot(not(or(t4,and(cin,X_55))))]]) ).
cnf(refute_0_6389,plain,
( and(not(t4),not(and(cin,X_55))) != and(t5,xor(t6,and(cin,X_55)))
| not(or(t4,and(cin,X_55))) = and(t5,xor(t6,and(cin,X_55))) ),
inference(resolve,[$cnf( $equal(and(not(t4),not(and(cin,X_55))),not(or(t4,and(cin,X_55)))) )],[refute_0_6387,refute_0_6388]) ).
cnf(refute_0_6390,plain,
not(or(t4,and(cin,X_55))) = and(t5,xor(t6,and(cin,X_55))),
inference(resolve,[$cnf( $equal(and(not(t4),not(and(cin,X_55))),and(t5,xor(t6,and(cin,X_55)))) )],[refute_0_6386,refute_0_6389]) ).
cnf(refute_0_6391,plain,
( not(or(t4,and(cin,X_55))) != and(t5,xor(t6,and(cin,X_55)))
| and(t5,xor(t6,and(cin,X_55))) = not(or(t4,and(cin,X_55))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(t4,and(cin,X_55))))),bind(Y0,$fot(and(t5,xor(t6,and(cin,X_55)))))]]) ).
cnf(refute_0_6392,plain,
and(t5,xor(t6,and(cin,X_55))) = not(or(t4,and(cin,X_55))),
inference(resolve,[$cnf( $equal(not(or(t4,and(cin,X_55))),and(t5,xor(t6,and(cin,X_55)))) )],[refute_0_6390,refute_0_6391]) ).
cnf(refute_0_6393,plain,
and(t5,xor(t6,and(cin,sum))) = not(or(t4,and(cin,sum))),
inference(subst,[],[refute_0_6392:[bind(X_55,$fot(sum))]]) ).
cnf(refute_0_6394,plain,
( and(not(cin),xor(t6,and(cin,sum))) != and(t5,xor(t6,and(cin,sum)))
| and(t5,xor(t6,and(cin,sum))) != not(or(t4,and(cin,sum)))
| and(not(cin),xor(t6,and(cin,sum))) = not(or(t4,and(cin,sum))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(cin),xor(t6,and(cin,sum))),not(or(t4,and(cin,sum)))) ),[0],$fot(and(t5,xor(t6,and(cin,sum))))]]) ).
cnf(refute_0_6395,plain,
( and(not(cin),xor(t6,and(cin,sum))) != and(t5,xor(t6,and(cin,sum)))
| and(not(cin),xor(t6,and(cin,sum))) = not(or(t4,and(cin,sum))) ),
inference(resolve,[$cnf( $equal(and(t5,xor(t6,and(cin,sum))),not(or(t4,and(cin,sum)))) )],[refute_0_6393,refute_0_6394]) ).
cnf(refute_0_6396,plain,
and(not(cin),xor(t6,and(cin,sum))) = not(or(t4,and(cin,sum))),
inference(resolve,[$cnf( $equal(and(not(cin),xor(t6,and(cin,sum))),and(t5,xor(t6,and(cin,sum)))) )],[refute_0_6382,refute_0_6395]) ).
cnf(refute_0_6397,plain,
( and(not(cin),xor(t6,and(cin,sum))) != not(or(t4,and(cin,sum)))
| not(and(xor(t6,and(cin,sum)),not(cin))) != not(and(not(cin),xor(t6,and(cin,sum))))
| not(and(xor(t6,and(cin,sum)),not(cin))) = not(not(or(t4,and(cin,sum)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(xor(t6,and(cin,sum)),not(cin))),not(and(not(cin),xor(t6,and(cin,sum))))) ),[1,0],$fot(not(or(t4,and(cin,sum))))]]) ).
cnf(refute_0_6398,plain,
( not(and(xor(t6,and(cin,sum)),not(cin))) != not(and(not(cin),xor(t6,and(cin,sum))))
| not(and(xor(t6,and(cin,sum)),not(cin))) = not(not(or(t4,and(cin,sum)))) ),
inference(resolve,[$cnf( $equal(and(not(cin),xor(t6,and(cin,sum))),not(or(t4,and(cin,sum)))) )],[refute_0_6396,refute_0_6397]) ).
cnf(refute_0_6399,plain,
not(and(xor(t6,and(cin,sum)),not(cin))) = not(not(or(t4,and(cin,sum)))),
inference(resolve,[$cnf( $equal(not(and(xor(t6,and(cin,sum)),not(cin))),not(and(not(cin),xor(t6,and(cin,sum))))) )],[refute_0_6224,refute_0_6398]) ).
cnf(refute_0_6400,plain,
not(and(not(cin),xor(t6,and(cin,sum)))) = or(cin,not(xor(t6,and(cin,sum)))),
inference(subst,[],[refute_0_787:[bind(X,$fot(cin)),bind(X_32,$fot(xor(t6,and(cin,sum))))]]) ).
cnf(refute_0_6401,plain,
( not(and(not(cin),xor(t6,and(cin,sum)))) != or(cin,not(xor(t6,and(cin,sum))))
| not(and(xor(t6,and(cin,sum)),not(cin))) != not(and(not(cin),xor(t6,and(cin,sum))))
| not(and(xor(t6,and(cin,sum)),not(cin))) = or(cin,not(xor(t6,and(cin,sum)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(xor(t6,and(cin,sum)),not(cin))))),bind(Y0,$fot(not(and(not(cin),xor(t6,and(cin,sum)))))),bind(Z0,$fot(or(cin,not(xor(t6,and(cin,sum))))))]]) ).
cnf(refute_0_6402,plain,
( not(and(not(cin),xor(t6,and(cin,sum)))) != or(cin,not(xor(t6,and(cin,sum))))
| not(and(xor(t6,and(cin,sum)),not(cin))) = or(cin,not(xor(t6,and(cin,sum)))) ),
inference(resolve,[$cnf( $equal(not(and(xor(t6,and(cin,sum)),not(cin))),not(and(not(cin),xor(t6,and(cin,sum))))) )],[refute_0_6224,refute_0_6401]) ).
cnf(refute_0_6403,plain,
not(and(xor(t6,and(cin,sum)),not(cin))) = or(cin,not(xor(t6,and(cin,sum)))),
inference(resolve,[$cnf( $equal(not(and(not(cin),xor(t6,and(cin,sum)))),or(cin,not(xor(t6,and(cin,sum))))) )],[refute_0_6400,refute_0_6402]) ).
cnf(refute_0_6404,plain,
( not(and(xor(t6,and(cin,sum)),not(cin))) != not(not(or(t4,and(cin,sum))))
| not(and(xor(t6,and(cin,sum)),not(cin))) != or(cin,not(xor(t6,and(cin,sum))))
| or(cin,not(xor(t6,and(cin,sum)))) = not(not(or(t4,and(cin,sum)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(xor(t6,and(cin,sum)),not(cin))),not(not(or(t4,and(cin,sum))))) ),[0],$fot(or(cin,not(xor(t6,and(cin,sum)))))]]) ).
cnf(refute_0_6405,plain,
( not(and(xor(t6,and(cin,sum)),not(cin))) != not(not(or(t4,and(cin,sum))))
| or(cin,not(xor(t6,and(cin,sum)))) = not(not(or(t4,and(cin,sum)))) ),
inference(resolve,[$cnf( $equal(not(and(xor(t6,and(cin,sum)),not(cin))),or(cin,not(xor(t6,and(cin,sum))))) )],[refute_0_6403,refute_0_6404]) ).
cnf(refute_0_6406,plain,
not(not(or(t4,and(cin,sum)))) = or(t4,and(cin,sum)),
inference(subst,[],[not_involution:[bind(X,$fot(or(t4,and(cin,sum))))]]) ).
cnf(refute_0_6407,plain,
( not(not(or(t4,and(cin,sum)))) != or(t4,and(cin,sum))
| or(cin,not(xor(t6,and(cin,sum)))) != not(not(or(t4,and(cin,sum))))
| or(cin,not(xor(t6,and(cin,sum)))) = or(t4,and(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,not(xor(t6,and(cin,sum)))),not(not(or(t4,and(cin,sum))))) ),[1],$fot(or(t4,and(cin,sum)))]]) ).
cnf(refute_0_6408,plain,
( or(cin,not(xor(t6,and(cin,sum)))) != not(not(or(t4,and(cin,sum))))
| or(cin,not(xor(t6,and(cin,sum)))) = or(t4,and(cin,sum)) ),
inference(resolve,[$cnf( $equal(not(not(or(t4,and(cin,sum)))),or(t4,and(cin,sum))) )],[refute_0_6406,refute_0_6407]) ).
cnf(refute_0_6409,plain,
( not(and(xor(t6,and(cin,sum)),not(cin))) != not(not(or(t4,and(cin,sum))))
| or(cin,not(xor(t6,and(cin,sum)))) = or(t4,and(cin,sum)) ),
inference(resolve,[$cnf( $equal(or(cin,not(xor(t6,and(cin,sum)))),not(not(or(t4,and(cin,sum))))) )],[refute_0_6405,refute_0_6408]) ).
cnf(refute_0_6410,plain,
or(cin,not(xor(t6,and(cin,sum)))) = or(t4,and(cin,sum)),
inference(resolve,[$cnf( $equal(not(and(xor(t6,and(cin,sum)),not(cin))),not(not(or(t4,and(cin,sum))))) )],[refute_0_6399,refute_0_6409]) ).
cnf(refute_0_6411,plain,
or(or(t4,and(cin,sum)),and(cin,or(t4,and(cin,sum)))) = or(t4,and(cin,sum)),
inference(subst,[],[refute_0_222:[bind(X_13,$fot(or(t4,and(cin,sum)))),bind(X_14,$fot(cin))]]) ).
cnf(refute_0_6412,plain,
not(not(and(cin,or(t4,and(cin,sum))))) = and(cin,or(t4,and(cin,sum))),
inference(subst,[],[not_involution:[bind(X,$fot(and(cin,or(t4,and(cin,sum)))))]]) ).
cnf(refute_0_6413,plain,
or(not(cin),and(not(cin),xor(t6,and(cin,sum)))) = not(cin),
inference(subst,[],[or_absorption:[bind(X,$fot(not(cin))),bind(Y,$fot(xor(t6,and(cin,sum))))]]) ).
cnf(refute_0_6414,plain,
( and(not(cin),xor(t6,and(cin,sum))) != not(or(t4,and(cin,sum)))
| or(not(cin),and(not(cin),xor(t6,and(cin,sum)))) != not(cin)
| or(not(cin),not(or(t4,and(cin,sum)))) = not(cin) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(cin),and(not(cin),xor(t6,and(cin,sum)))),not(cin)) ),[0,1],$fot(not(or(t4,and(cin,sum))))]]) ).
cnf(refute_0_6415,plain,
( or(not(cin),and(not(cin),xor(t6,and(cin,sum)))) != not(cin)
| or(not(cin),not(or(t4,and(cin,sum)))) = not(cin) ),
inference(resolve,[$cnf( $equal(and(not(cin),xor(t6,and(cin,sum))),not(or(t4,and(cin,sum)))) )],[refute_0_6396,refute_0_6414]) ).
cnf(refute_0_6416,plain,
or(not(cin),not(or(t4,and(cin,sum)))) = not(cin),
inference(resolve,[$cnf( $equal(or(not(cin),and(not(cin),xor(t6,and(cin,sum)))),not(cin)) )],[refute_0_6413,refute_0_6415]) ).
cnf(refute_0_6417,plain,
or(not(cin),not(or(t4,and(cin,sum)))) = not(and(cin,or(t4,and(cin,sum)))),
inference(subst,[],[refute_0_147:[bind(X,$fot(cin)),bind(Y,$fot(or(t4,and(cin,sum))))]]) ).
cnf(refute_0_6418,plain,
( or(not(cin),not(or(t4,and(cin,sum)))) != not(and(cin,or(t4,and(cin,sum))))
| or(not(cin),not(or(t4,and(cin,sum)))) != not(cin)
| not(and(cin,or(t4,and(cin,sum)))) = not(cin) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(cin),not(or(t4,and(cin,sum)))),not(cin)) ),[0],$fot(not(and(cin,or(t4,and(cin,sum)))))]]) ).
cnf(refute_0_6419,plain,
( or(not(cin),not(or(t4,and(cin,sum)))) != not(cin)
| not(and(cin,or(t4,and(cin,sum)))) = not(cin) ),
inference(resolve,[$cnf( $equal(or(not(cin),not(or(t4,and(cin,sum)))),not(and(cin,or(t4,and(cin,sum))))) )],[refute_0_6417,refute_0_6418]) ).
cnf(refute_0_6420,plain,
not(and(cin,or(t4,and(cin,sum)))) = not(cin),
inference(resolve,[$cnf( $equal(or(not(cin),not(or(t4,and(cin,sum)))),not(cin)) )],[refute_0_6416,refute_0_6419]) ).
cnf(refute_0_6421,plain,
( not(and(cin,or(t4,and(cin,sum)))) != not(cin)
| not(not(and(cin,or(t4,and(cin,sum))))) != and(cin,or(t4,and(cin,sum)))
| not(not(cin)) = and(cin,or(t4,and(cin,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(cin,or(t4,and(cin,sum))))),and(cin,or(t4,and(cin,sum)))) ),[0,0],$fot(not(cin))]]) ).
cnf(refute_0_6422,plain,
( not(not(and(cin,or(t4,and(cin,sum))))) != and(cin,or(t4,and(cin,sum)))
| not(not(cin)) = and(cin,or(t4,and(cin,sum))) ),
inference(resolve,[$cnf( $equal(not(and(cin,or(t4,and(cin,sum)))),not(cin)) )],[refute_0_6420,refute_0_6421]) ).
cnf(refute_0_6423,plain,
not(not(cin)) = and(cin,or(t4,and(cin,sum))),
inference(resolve,[$cnf( $equal(not(not(and(cin,or(t4,and(cin,sum))))),and(cin,or(t4,and(cin,sum)))) )],[refute_0_6412,refute_0_6422]) ).
cnf(refute_0_6424,plain,
not(not(cin)) = cin,
inference(subst,[],[not_involution:[bind(X,$fot(cin))]]) ).
cnf(refute_0_6425,plain,
( not(not(cin)) != and(cin,or(t4,and(cin,sum)))
| not(not(cin)) != cin
| cin = and(cin,or(t4,and(cin,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(cin)),and(cin,or(t4,and(cin,sum)))) ),[0],$fot(cin)]]) ).
cnf(refute_0_6426,plain,
( not(not(cin)) != and(cin,or(t4,and(cin,sum)))
| cin = and(cin,or(t4,and(cin,sum))) ),
inference(resolve,[$cnf( $equal(not(not(cin)),cin) )],[refute_0_6424,refute_0_6425]) ).
cnf(refute_0_6427,plain,
cin = and(cin,or(t4,and(cin,sum))),
inference(resolve,[$cnf( $equal(not(not(cin)),and(cin,or(t4,and(cin,sum)))) )],[refute_0_6423,refute_0_6426]) ).
cnf(refute_0_6428,plain,
( cin != and(cin,or(t4,and(cin,sum)))
| and(cin,or(t4,and(cin,sum))) = cin ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(cin)),bind(Y0,$fot(and(cin,or(t4,and(cin,sum)))))]]) ).
cnf(refute_0_6429,plain,
and(cin,or(t4,and(cin,sum))) = cin,
inference(resolve,[$cnf( $equal(cin,and(cin,or(t4,and(cin,sum)))) )],[refute_0_6427,refute_0_6428]) ).
cnf(refute_0_6430,plain,
( and(cin,or(t4,and(cin,sum))) != cin
| or(or(t4,and(cin,sum)),and(cin,or(t4,and(cin,sum)))) != or(t4,and(cin,sum))
| or(or(t4,and(cin,sum)),cin) = or(t4,and(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t4,and(cin,sum)),and(cin,or(t4,and(cin,sum)))),or(t4,and(cin,sum))) ),[0,1],$fot(cin)]]) ).
cnf(refute_0_6431,plain,
( or(or(t4,and(cin,sum)),and(cin,or(t4,and(cin,sum)))) != or(t4,and(cin,sum))
| or(or(t4,and(cin,sum)),cin) = or(t4,and(cin,sum)) ),
inference(resolve,[$cnf( $equal(and(cin,or(t4,and(cin,sum))),cin) )],[refute_0_6429,refute_0_6430]) ).
cnf(refute_0_6432,plain,
or(or(t4,and(cin,sum)),cin) = or(t4,and(cin,sum)),
inference(resolve,[$cnf( $equal(or(or(t4,and(cin,sum)),and(cin,or(t4,and(cin,sum)))),or(t4,and(cin,sum))) )],[refute_0_6411,refute_0_6431]) ).
cnf(refute_0_6433,plain,
or(sum,and(cin,sum)) = sum,
inference(subst,[],[refute_0_222:[bind(X_13,$fot(sum)),bind(X_14,$fot(cin))]]) ).
cnf(refute_0_6434,plain,
or(cin,or(sum,and(cin,sum))) = or(cin,or(sum,and(cin,sum))),
introduced(tautology,[refl,[$fot(or(cin,or(sum,and(cin,sum))))]]) ).
cnf(refute_0_6435,plain,
( or(cin,or(sum,and(cin,sum))) != or(cin,or(sum,and(cin,sum)))
| or(sum,and(cin,sum)) != sum
| or(cin,or(sum,and(cin,sum))) = or(cin,sum) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,or(sum,and(cin,sum))),or(cin,or(sum,and(cin,sum)))) ),[1,1],$fot(sum)]]) ).
cnf(refute_0_6436,plain,
( or(sum,and(cin,sum)) != sum
| or(cin,or(sum,and(cin,sum))) = or(cin,sum) ),
inference(resolve,[$cnf( $equal(or(cin,or(sum,and(cin,sum))),or(cin,or(sum,and(cin,sum)))) )],[refute_0_6434,refute_0_6435]) ).
cnf(refute_0_6437,plain,
or(cin,or(sum,and(cin,sum))) = or(cin,sum),
inference(resolve,[$cnf( $equal(or(sum,and(cin,sum)),sum) )],[refute_0_6433,refute_0_6436]) ).
cnf(refute_0_6438,plain,
or(or(cin,t4),Z) = or(cin,or(t4,Z)),
inference(subst,[],[or_associative:[bind(X,$fot(cin)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_6439,plain,
not(not(or(cin,t4))) = or(cin,t4),
inference(subst,[],[not_involution:[bind(X,$fot(or(cin,t4)))]]) ).
cnf(refute_0_6440,plain,
and(not(t4),not(cin)) = and(t5,and(t6,not(cin))),
inference(subst,[],[refute_0_5450:[bind(Z,$fot(not(cin)))]]) ).
cnf(refute_0_6441,plain,
( and(not(t4),not(cin)) != and(t5,and(t6,not(cin)))
| and(t6,not(cin)) != xor(cin,t6)
| and(not(t4),not(cin)) = and(t5,xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),not(cin)),and(t5,and(t6,not(cin)))) ),[1,1],$fot(xor(cin,t6))]]) ).
cnf(refute_0_6442,plain,
( and(not(t4),not(cin)) != and(t5,and(t6,not(cin)))
| and(not(t4),not(cin)) = and(t5,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(and(t6,not(cin)),xor(cin,t6)) )],[refute_0_1397,refute_0_6441]) ).
cnf(refute_0_6443,plain,
and(not(t4),not(cin)) = and(t5,xor(cin,t6)),
inference(resolve,[$cnf( $equal(and(not(t4),not(cin)),and(t5,and(t6,not(cin)))) )],[refute_0_6440,refute_0_6442]) ).
cnf(refute_0_6444,plain,
not(or(X,xor(t3,or(b,t2)))) = and(not(X),not(xor(t3,or(b,t2)))),
inference(subst,[],[or_demorgan:[bind(Y,$fot(xor(t3,or(b,t2))))]]) ).
cnf(refute_0_6445,plain,
and(t3,not(and(a,not(b)))) = xor(t3,and(a,not(b))),
inference(subst,[],[refute_0_1693:[bind(X_42,$fot(not(b)))]]) ).
cnf(refute_0_6446,plain,
and(not(t2),not(b)) = and(a,and(t1,not(b))),
inference(subst,[],[refute_0_1927:[bind(X_222,$fot(not(b)))]]) ).
cnf(refute_0_6447,plain,
( and(not(t2),not(b)) != and(a,and(t1,not(b)))
| and(t1,not(b)) != not(b)
| and(not(t2),not(b)) = and(a,not(b)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),not(b)),and(a,and(t1,not(b)))) ),[1,1],$fot(not(b))]]) ).
cnf(refute_0_6448,plain,
( and(not(t2),not(b)) != and(a,and(t1,not(b)))
| and(not(t2),not(b)) = and(a,not(b)) ),
inference(resolve,[$cnf( $equal(and(t1,not(b)),not(b)) )],[refute_0_1214,refute_0_6447]) ).
cnf(refute_0_6449,plain,
and(not(t2),not(b)) = and(a,not(b)),
inference(resolve,[$cnf( $equal(and(not(t2),not(b)),and(a,and(t1,not(b)))) )],[refute_0_6446,refute_0_6448]) ).
cnf(refute_0_6450,plain,
not(or(t2,b)) = not(or(b,t2)),
inference(subst,[],[refute_0_562:[bind(X_25,$fot(t2)),bind(X_26,$fot(b))]]) ).
cnf(refute_0_6451,plain,
and(not(t2),not(b)) = not(or(t2,b)),
inference(subst,[],[refute_0_101:[bind(X,$fot(t2)),bind(Y,$fot(b))]]) ).
cnf(refute_0_6452,plain,
( and(not(t2),not(b)) != not(or(t2,b))
| not(or(t2,b)) != not(or(b,t2))
| and(not(t2),not(b)) = not(or(b,t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t2),not(b)))),bind(Y0,$fot(not(or(t2,b)))),bind(Z0,$fot(not(or(b,t2))))]]) ).
cnf(refute_0_6453,plain,
( not(or(t2,b)) != not(or(b,t2))
| and(not(t2),not(b)) = not(or(b,t2)) ),
inference(resolve,[$cnf( $equal(and(not(t2),not(b)),not(or(t2,b))) )],[refute_0_6451,refute_0_6452]) ).
cnf(refute_0_6454,plain,
and(not(t2),not(b)) = not(or(b,t2)),
inference(resolve,[$cnf( $equal(not(or(t2,b)),not(or(b,t2))) )],[refute_0_6450,refute_0_6453]) ).
cnf(refute_0_6455,plain,
( and(not(t2),not(b)) != and(a,not(b))
| and(not(t2),not(b)) != not(or(b,t2))
| not(or(b,t2)) = and(a,not(b)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),not(b)),and(a,not(b))) ),[0],$fot(not(or(b,t2)))]]) ).
cnf(refute_0_6456,plain,
( and(not(t2),not(b)) != and(a,not(b))
| not(or(b,t2)) = and(a,not(b)) ),
inference(resolve,[$cnf( $equal(and(not(t2),not(b)),not(or(b,t2))) )],[refute_0_6454,refute_0_6455]) ).
cnf(refute_0_6457,plain,
not(or(b,t2)) = and(a,not(b)),
inference(resolve,[$cnf( $equal(and(not(t2),not(b)),and(a,not(b))) )],[refute_0_6449,refute_0_6456]) ).
cnf(refute_0_6458,plain,
( not(or(b,t2)) != and(a,not(b))
| and(a,not(b)) = not(or(b,t2)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(b,t2)))),bind(Y0,$fot(and(a,not(b))))]]) ).
cnf(refute_0_6459,plain,
and(a,not(b)) = not(or(b,t2)),
inference(resolve,[$cnf( $equal(not(or(b,t2)),and(a,not(b))) )],[refute_0_6457,refute_0_6458]) ).
cnf(refute_0_6460,plain,
( and(a,not(b)) != not(or(b,t2))
| and(t3,not(and(a,not(b)))) != xor(t3,and(a,not(b)))
| and(t3,not(and(a,not(b)))) = xor(t3,not(or(b,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,not(and(a,not(b)))),xor(t3,and(a,not(b)))) ),[1,1],$fot(not(or(b,t2)))]]) ).
cnf(refute_0_6461,plain,
( and(t3,not(and(a,not(b)))) != xor(t3,and(a,not(b)))
| and(t3,not(and(a,not(b)))) = xor(t3,not(or(b,t2))) ),
inference(resolve,[$cnf( $equal(and(a,not(b)),not(or(b,t2))) )],[refute_0_6459,refute_0_6460]) ).
cnf(refute_0_6462,plain,
and(t3,not(and(a,not(b)))) = xor(t3,not(or(b,t2))),
inference(resolve,[$cnf( $equal(and(t3,not(and(a,not(b)))),xor(t3,and(a,not(b)))) )],[refute_0_6445,refute_0_6461]) ).
cnf(refute_0_6463,plain,
not(and(not(b),a)) = not(and(a,not(b))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(a)),bind(X_32,$fot(not(b)))]]) ).
cnf(refute_0_6464,plain,
( and(a,not(b)) != not(or(b,t2))
| not(and(not(b),a)) != not(and(a,not(b)))
| not(and(not(b),a)) = not(not(or(b,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(b),a)),not(and(a,not(b)))) ),[1,0],$fot(not(or(b,t2)))]]) ).
cnf(refute_0_6465,plain,
( not(and(not(b),a)) != not(and(a,not(b)))
| not(and(not(b),a)) = not(not(or(b,t2))) ),
inference(resolve,[$cnf( $equal(and(a,not(b)),not(or(b,t2))) )],[refute_0_6459,refute_0_6464]) ).
cnf(refute_0_6466,plain,
not(and(not(b),a)) = not(not(or(b,t2))),
inference(resolve,[$cnf( $equal(not(and(not(b),a)),not(and(a,not(b)))) )],[refute_0_6463,refute_0_6465]) ).
cnf(refute_0_6467,plain,
not(and(not(b),a)) = or(b,not(a)),
inference(subst,[],[refute_0_787:[bind(X,$fot(b)),bind(X_32,$fot(a))]]) ).
cnf(refute_0_6468,plain,
( not(and(not(b),a)) != not(not(or(b,t2)))
| not(and(not(b),a)) != or(b,not(a))
| or(b,not(a)) = not(not(or(b,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(b),a)),not(not(or(b,t2)))) ),[0],$fot(or(b,not(a)))]]) ).
cnf(refute_0_6469,plain,
( not(and(not(b),a)) != not(not(or(b,t2)))
| or(b,not(a)) = not(not(or(b,t2))) ),
inference(resolve,[$cnf( $equal(not(and(not(b),a)),or(b,not(a))) )],[refute_0_6467,refute_0_6468]) ).
cnf(refute_0_6470,plain,
not(not(or(b,t2))) = or(b,t2),
inference(subst,[],[not_involution:[bind(X,$fot(or(b,t2)))]]) ).
cnf(refute_0_6471,plain,
( not(not(or(b,t2))) != or(b,t2)
| or(b,not(a)) != not(not(or(b,t2)))
| or(b,not(a)) = or(b,t2) ),
introduced(tautology,[equality,[$cnf( $equal(or(b,not(a)),not(not(or(b,t2)))) ),[1],$fot(or(b,t2))]]) ).
cnf(refute_0_6472,plain,
( or(b,not(a)) != not(not(or(b,t2)))
| or(b,not(a)) = or(b,t2) ),
inference(resolve,[$cnf( $equal(not(not(or(b,t2))),or(b,t2)) )],[refute_0_6470,refute_0_6471]) ).
cnf(refute_0_6473,plain,
( not(and(not(b),a)) != not(not(or(b,t2)))
| or(b,not(a)) = or(b,t2) ),
inference(resolve,[$cnf( $equal(or(b,not(a)),not(not(or(b,t2)))) )],[refute_0_6469,refute_0_6472]) ).
cnf(refute_0_6474,plain,
or(b,not(a)) = or(b,t2),
inference(resolve,[$cnf( $equal(not(and(not(b),a)),not(not(or(b,t2)))) )],[refute_0_6466,refute_0_6473]) ).
cnf(refute_0_6475,plain,
and(t3,or(b,not(a))) = and(t3,or(b,not(a))),
introduced(tautology,[refl,[$fot(and(t3,or(b,not(a))))]]) ).
cnf(refute_0_6476,plain,
( and(t3,or(b,not(a))) != and(t3,or(b,not(a)))
| or(b,not(a)) != or(b,t2)
| and(t3,or(b,not(a))) = and(t3,or(b,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,or(b,not(a))),and(t3,or(b,not(a)))) ),[1,1],$fot(or(b,t2))]]) ).
cnf(refute_0_6477,plain,
( or(b,not(a)) != or(b,t2)
| and(t3,or(b,not(a))) = and(t3,or(b,t2)) ),
inference(resolve,[$cnf( $equal(and(t3,or(b,not(a))),and(t3,or(b,not(a)))) )],[refute_0_6475,refute_0_6476]) ).
cnf(refute_0_6478,plain,
and(t3,or(b,not(a))) = and(t3,or(b,t2)),
inference(resolve,[$cnf( $equal(or(b,not(a)),or(b,t2)) )],[refute_0_6474,refute_0_6477]) ).
cnf(refute_0_6479,plain,
or(and(t3,not(and(X_47,a))),and(not(t3),and(X_47,a))) = xor(t3,and(X_47,a)),
inference(subst,[],[refute_0_9:[bind(X,$fot(t3)),bind(Y,$fot(and(X_47,a)))]]) ).
cnf(refute_0_6480,plain,
ll0 = and(not(t3),and(a,X_47)),
inference(subst,[],[refute_0_1684:[bind(X_42,$fot(X_47))]]) ).
cnf(refute_0_6481,plain,
and(X_47,a) = and(a,X_47),
inference(subst,[],[and_commutative:[bind(X,$fot(X_47)),bind(Y,$fot(a))]]) ).
cnf(refute_0_6482,plain,
( and(X_47,a) != and(a,X_47)
| and(a,X_47) = and(X_47,a) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X_47,a))),bind(Y0,$fot(and(a,X_47)))]]) ).
cnf(refute_0_6483,plain,
and(a,X_47) = and(X_47,a),
inference(resolve,[$cnf( $equal(and(X_47,a),and(a,X_47)) )],[refute_0_6481,refute_0_6482]) ).
cnf(refute_0_6484,plain,
( and(a,X_47) != and(X_47,a)
| ll0 != and(not(t3),and(a,X_47))
| ll0 = and(not(t3),and(X_47,a)) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(not(t3),and(a,X_47))) ),[1,1],$fot(and(X_47,a))]]) ).
cnf(refute_0_6485,plain,
( ll0 != and(not(t3),and(a,X_47))
| ll0 = and(not(t3),and(X_47,a)) ),
inference(resolve,[$cnf( $equal(and(a,X_47),and(X_47,a)) )],[refute_0_6483,refute_0_6484]) ).
cnf(refute_0_6486,plain,
ll0 = and(not(t3),and(X_47,a)),
inference(resolve,[$cnf( $equal(ll0,and(not(t3),and(a,X_47))) )],[refute_0_6480,refute_0_6485]) ).
cnf(refute_0_6487,plain,
( ll0 != and(not(t3),and(X_47,a))
| and(not(t3),and(X_47,a)) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(not(t3),and(X_47,a))))]]) ).
cnf(refute_0_6488,plain,
and(not(t3),and(X_47,a)) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(not(t3),and(X_47,a))) )],[refute_0_6486,refute_0_6487]) ).
cnf(refute_0_6489,plain,
( and(not(t3),and(X_47,a)) != ll0
| or(and(t3,not(and(X_47,a))),and(not(t3),and(X_47,a))) != xor(t3,and(X_47,a))
| or(and(t3,not(and(X_47,a))),ll0) = xor(t3,and(X_47,a)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t3,not(and(X_47,a))),and(not(t3),and(X_47,a))),xor(t3,and(X_47,a))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_6490,plain,
( or(and(t3,not(and(X_47,a))),and(not(t3),and(X_47,a))) != xor(t3,and(X_47,a))
| or(and(t3,not(and(X_47,a))),ll0) = xor(t3,and(X_47,a)) ),
inference(resolve,[$cnf( $equal(and(not(t3),and(X_47,a)),ll0) )],[refute_0_6488,refute_0_6489]) ).
cnf(refute_0_6491,plain,
or(and(t3,not(and(X_47,a))),ll0) = xor(t3,and(X_47,a)),
inference(resolve,[$cnf( $equal(or(and(t3,not(and(X_47,a))),and(not(t3),and(X_47,a))),xor(t3,and(X_47,a))) )],[refute_0_6479,refute_0_6490]) ).
cnf(refute_0_6492,plain,
or(and(t3,not(and(X_47,a))),ll0) = and(t3,not(and(X_47,a))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t3,not(and(X_47,a)))))]]) ).
cnf(refute_0_6493,plain,
( or(and(t3,not(and(X_47,a))),ll0) != and(t3,not(and(X_47,a)))
| or(and(t3,not(and(X_47,a))),ll0) != xor(t3,and(X_47,a))
| and(t3,not(and(X_47,a))) = xor(t3,and(X_47,a)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t3,not(and(X_47,a))),ll0),xor(t3,and(X_47,a))) ),[0],$fot(and(t3,not(and(X_47,a))))]]) ).
cnf(refute_0_6494,plain,
( or(and(t3,not(and(X_47,a))),ll0) != xor(t3,and(X_47,a))
| and(t3,not(and(X_47,a))) = xor(t3,and(X_47,a)) ),
inference(resolve,[$cnf( $equal(or(and(t3,not(and(X_47,a))),ll0),and(t3,not(and(X_47,a)))) )],[refute_0_6492,refute_0_6493]) ).
cnf(refute_0_6495,plain,
and(t3,not(and(X_47,a))) = xor(t3,and(X_47,a)),
inference(resolve,[$cnf( $equal(or(and(t3,not(and(X_47,a))),ll0),xor(t3,and(X_47,a))) )],[refute_0_6491,refute_0_6494]) ).
cnf(refute_0_6496,plain,
and(t3,not(and(not(X),a))) = xor(t3,and(not(X),a)),
inference(subst,[],[refute_0_6495:[bind(X_47,$fot(not(X)))]]) ).
cnf(refute_0_6497,plain,
not(and(not(X),a)) = or(X,not(a)),
inference(subst,[],[refute_0_787:[bind(X_32,$fot(a))]]) ).
cnf(refute_0_6498,plain,
( and(t3,not(and(not(X),a))) != xor(t3,and(not(X),a))
| not(and(not(X),a)) != or(X,not(a))
| and(t3,or(X,not(a))) = xor(t3,and(not(X),a)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,not(and(not(X),a))),xor(t3,and(not(X),a))) ),[0,1],$fot(or(X,not(a)))]]) ).
cnf(refute_0_6499,plain,
( and(t3,not(and(not(X),a))) != xor(t3,and(not(X),a))
| and(t3,or(X,not(a))) = xor(t3,and(not(X),a)) ),
inference(resolve,[$cnf( $equal(not(and(not(X),a)),or(X,not(a))) )],[refute_0_6497,refute_0_6498]) ).
cnf(refute_0_6500,plain,
and(t3,or(X,not(a))) = xor(t3,and(not(X),a)),
inference(resolve,[$cnf( $equal(and(t3,not(and(not(X),a))),xor(t3,and(not(X),a))) )],[refute_0_6496,refute_0_6499]) ).
cnf(refute_0_6501,plain,
and(t3,not(and(X_73,a))) = xor(t3,and(X_73,a)),
inference(subst,[],[refute_0_6495:[bind(X_47,$fot(X_73))]]) ).
cnf(refute_0_6502,plain,
and(a,X_73) = and(X_73,a),
inference(subst,[],[and_commutative:[bind(X,$fot(a)),bind(Y,$fot(X_73))]]) ).
cnf(refute_0_6503,plain,
( and(a,X_73) != and(X_73,a)
| and(X_73,a) = and(a,X_73) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(a,X_73))),bind(Y0,$fot(and(X_73,a)))]]) ).
cnf(refute_0_6504,plain,
and(X_73,a) = and(a,X_73),
inference(resolve,[$cnf( $equal(and(a,X_73),and(X_73,a)) )],[refute_0_6502,refute_0_6503]) ).
cnf(refute_0_6505,plain,
( and(X_73,a) != and(a,X_73)
| and(t3,not(and(X_73,a))) != xor(t3,and(X_73,a))
| and(t3,not(and(a,X_73))) = xor(t3,and(X_73,a)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,not(and(X_73,a))),xor(t3,and(X_73,a))) ),[0,1,0],$fot(and(a,X_73))]]) ).
cnf(refute_0_6506,plain,
( and(t3,not(and(X_73,a))) != xor(t3,and(X_73,a))
| and(t3,not(and(a,X_73))) = xor(t3,and(X_73,a)) ),
inference(resolve,[$cnf( $equal(and(X_73,a),and(a,X_73)) )],[refute_0_6504,refute_0_6505]) ).
cnf(refute_0_6507,plain,
and(t3,not(and(a,X_73))) = xor(t3,and(X_73,a)),
inference(resolve,[$cnf( $equal(and(t3,not(and(X_73,a))),xor(t3,and(X_73,a))) )],[refute_0_6501,refute_0_6506]) ).
cnf(refute_0_6508,plain,
and(t3,not(and(a,X_73))) = xor(t3,and(a,X_73)),
inference(subst,[],[refute_0_1693:[bind(X_42,$fot(X_73))]]) ).
cnf(refute_0_6509,plain,
( and(t3,not(and(a,X_73))) != xor(t3,and(X_73,a))
| and(t3,not(and(a,X_73))) != xor(t3,and(a,X_73))
| xor(t3,and(a,X_73)) = xor(t3,and(X_73,a)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,not(and(a,X_73))),xor(t3,and(X_73,a))) ),[0],$fot(xor(t3,and(a,X_73)))]]) ).
cnf(refute_0_6510,plain,
( and(t3,not(and(a,X_73))) != xor(t3,and(X_73,a))
| xor(t3,and(a,X_73)) = xor(t3,and(X_73,a)) ),
inference(resolve,[$cnf( $equal(and(t3,not(and(a,X_73))),xor(t3,and(a,X_73))) )],[refute_0_6508,refute_0_6509]) ).
cnf(refute_0_6511,plain,
xor(t3,and(a,X_73)) = xor(t3,and(X_73,a)),
inference(resolve,[$cnf( $equal(and(t3,not(and(a,X_73))),xor(t3,and(X_73,a))) )],[refute_0_6507,refute_0_6510]) ).
cnf(refute_0_6512,plain,
( xor(t3,and(a,X_73)) != xor(t3,and(X_73,a))
| xor(t3,and(X_73,a)) = xor(t3,and(a,X_73)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t3,and(a,X_73)))),bind(Y0,$fot(xor(t3,and(X_73,a))))]]) ).
cnf(refute_0_6513,plain,
xor(t3,and(X_73,a)) = xor(t3,and(a,X_73)),
inference(resolve,[$cnf( $equal(xor(t3,and(a,X_73)),xor(t3,and(X_73,a))) )],[refute_0_6511,refute_0_6512]) ).
cnf(refute_0_6514,plain,
xor(t3,and(not(X),a)) = xor(t3,and(a,not(X))),
inference(subst,[],[refute_0_6513:[bind(X_73,$fot(not(X)))]]) ).
cnf(refute_0_6515,plain,
( and(t3,or(X,not(a))) != xor(t3,and(not(X),a))
| xor(t3,and(not(X),a)) != xor(t3,and(a,not(X)))
| and(t3,or(X,not(a))) = xor(t3,and(a,not(X))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t3,or(X,not(a))),xor(t3,and(a,not(X)))) ),[0],$fot(xor(t3,and(not(X),a)))]]) ).
cnf(refute_0_6516,plain,
( and(t3,or(X,not(a))) != xor(t3,and(not(X),a))
| and(t3,or(X,not(a))) = xor(t3,and(a,not(X))) ),
inference(resolve,[$cnf( $equal(xor(t3,and(not(X),a)),xor(t3,and(a,not(X)))) )],[refute_0_6514,refute_0_6515]) ).
cnf(refute_0_6517,plain,
and(t3,or(X,not(a))) = xor(t3,and(a,not(X))),
inference(resolve,[$cnf( $equal(and(t3,or(X,not(a))),xor(t3,and(not(X),a))) )],[refute_0_6500,refute_0_6516]) ).
cnf(refute_0_6518,plain,
( and(t3,or(X,not(a))) != xor(t3,and(a,not(X)))
| xor(t3,and(a,not(X))) = and(t3,or(X,not(a))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t3,or(X,not(a))))),bind(Y0,$fot(xor(t3,and(a,not(X)))))]]) ).
cnf(refute_0_6519,plain,
xor(t3,and(a,not(X))) = and(t3,or(X,not(a))),
inference(resolve,[$cnf( $equal(and(t3,or(X,not(a))),xor(t3,and(a,not(X)))) )],[refute_0_6517,refute_0_6518]) ).
cnf(refute_0_6520,plain,
xor(t3,and(a,not(b))) = and(t3,or(b,not(a))),
inference(subst,[],[refute_0_6519:[bind(X,$fot(b))]]) ).
cnf(refute_0_6521,plain,
( and(t3,not(and(a,not(b)))) != xor(t3,and(a,not(b)))
| xor(t3,and(a,not(b))) != and(t3,or(b,not(a)))
| and(t3,not(and(a,not(b)))) = and(t3,or(b,not(a))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t3,not(and(a,not(b)))))),bind(Y0,$fot(xor(t3,and(a,not(b))))),bind(Z0,$fot(and(t3,or(b,not(a)))))]]) ).
cnf(refute_0_6522,plain,
( xor(t3,and(a,not(b))) != and(t3,or(b,not(a)))
| and(t3,not(and(a,not(b)))) = and(t3,or(b,not(a))) ),
inference(resolve,[$cnf( $equal(and(t3,not(and(a,not(b)))),xor(t3,and(a,not(b)))) )],[refute_0_6445,refute_0_6521]) ).
cnf(refute_0_6523,plain,
and(t3,not(and(a,not(b)))) = and(t3,or(b,not(a))),
inference(resolve,[$cnf( $equal(xor(t3,and(a,not(b))),and(t3,or(b,not(a)))) )],[refute_0_6520,refute_0_6522]) ).
cnf(refute_0_6524,plain,
( and(t3,not(and(a,not(b)))) != and(t3,or(b,not(a)))
| and(t3,or(b,not(a))) != and(t3,or(b,t2))
| and(t3,not(and(a,not(b)))) = and(t3,or(b,t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t3,not(and(a,not(b)))))),bind(Y0,$fot(and(t3,or(b,not(a))))),bind(Z0,$fot(and(t3,or(b,t2))))]]) ).
cnf(refute_0_6525,plain,
( and(t3,or(b,not(a))) != and(t3,or(b,t2))
| and(t3,not(and(a,not(b)))) = and(t3,or(b,t2)) ),
inference(resolve,[$cnf( $equal(and(t3,not(and(a,not(b)))),and(t3,or(b,not(a)))) )],[refute_0_6523,refute_0_6524]) ).
cnf(refute_0_6526,plain,
and(t3,not(and(a,not(b)))) = and(t3,or(b,t2)),
inference(resolve,[$cnf( $equal(and(t3,or(b,not(a))),and(t3,or(b,t2))) )],[refute_0_6478,refute_0_6525]) ).
cnf(refute_0_6527,plain,
( and(t3,not(and(a,not(b)))) != and(t3,or(b,t2))
| and(t3,not(and(a,not(b)))) != xor(t3,not(or(b,t2)))
| and(t3,or(b,t2)) = xor(t3,not(or(b,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,not(and(a,not(b)))),xor(t3,not(or(b,t2)))) ),[0],$fot(and(t3,or(b,t2)))]]) ).
cnf(refute_0_6528,plain,
( and(t3,not(and(a,not(b)))) != xor(t3,not(or(b,t2)))
| and(t3,or(b,t2)) = xor(t3,not(or(b,t2))) ),
inference(resolve,[$cnf( $equal(and(t3,not(and(a,not(b)))),and(t3,or(b,t2))) )],[refute_0_6526,refute_0_6527]) ).
cnf(refute_0_6529,plain,
and(t3,or(b,t2)) = xor(t3,not(or(b,t2))),
inference(resolve,[$cnf( $equal(and(t3,not(and(a,not(b)))),xor(t3,not(or(b,t2)))) )],[refute_0_6462,refute_0_6528]) ).
cnf(refute_0_6530,plain,
xor(t3,not(or(b,t2))) = not(xor(t3,or(b,t2))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t3)),bind(X_334,$fot(or(b,t2)))]]) ).
cnf(refute_0_6531,plain,
( and(t3,or(b,t2)) != xor(t3,not(or(b,t2)))
| xor(t3,not(or(b,t2))) != not(xor(t3,or(b,t2)))
| and(t3,or(b,t2)) = not(xor(t3,or(b,t2))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t3,or(b,t2)),not(xor(t3,or(b,t2)))) ),[0],$fot(xor(t3,not(or(b,t2))))]]) ).
cnf(refute_0_6532,plain,
( and(t3,or(b,t2)) != xor(t3,not(or(b,t2)))
| and(t3,or(b,t2)) = not(xor(t3,or(b,t2))) ),
inference(resolve,[$cnf( $equal(xor(t3,not(or(b,t2))),not(xor(t3,or(b,t2)))) )],[refute_0_6530,refute_0_6531]) ).
cnf(refute_0_6533,plain,
and(t3,or(b,t2)) = not(xor(t3,or(b,t2))),
inference(resolve,[$cnf( $equal(and(t3,or(b,t2)),xor(t3,not(or(b,t2)))) )],[refute_0_6529,refute_0_6532]) ).
cnf(refute_0_6534,plain,
( and(t3,or(b,t2)) != not(xor(t3,or(b,t2)))
| not(xor(t3,or(b,t2))) = and(t3,or(b,t2)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t3,or(b,t2)))),bind(Y0,$fot(not(xor(t3,or(b,t2)))))]]) ).
cnf(refute_0_6535,plain,
not(xor(t3,or(b,t2))) = and(t3,or(b,t2)),
inference(resolve,[$cnf( $equal(and(t3,or(b,t2)),not(xor(t3,or(b,t2)))) )],[refute_0_6533,refute_0_6534]) ).
cnf(refute_0_6536,plain,
( not(or(X,xor(t3,or(b,t2)))) != and(not(X),not(xor(t3,or(b,t2))))
| not(xor(t3,or(b,t2))) != and(t3,or(b,t2))
| not(or(X,xor(t3,or(b,t2)))) = and(not(X),and(t3,or(b,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t3,or(b,t2)))),and(not(X),not(xor(t3,or(b,t2))))) ),[1,1],$fot(and(t3,or(b,t2)))]]) ).
cnf(refute_0_6537,plain,
( not(or(X,xor(t3,or(b,t2)))) != and(not(X),not(xor(t3,or(b,t2))))
| not(or(X,xor(t3,or(b,t2)))) = and(not(X),and(t3,or(b,t2))) ),
inference(resolve,[$cnf( $equal(not(xor(t3,or(b,t2))),and(t3,or(b,t2))) )],[refute_0_6535,refute_0_6536]) ).
cnf(refute_0_6538,plain,
not(or(X,xor(t3,or(b,t2)))) = and(not(X),and(t3,or(b,t2))),
inference(resolve,[$cnf( $equal(not(or(X,xor(t3,or(b,t2)))),and(not(X),not(xor(t3,or(b,t2))))) )],[refute_0_6444,refute_0_6537]) ).
cnf(refute_0_6539,plain,
and(not(X),and(t3,or(b,t2))) = and(t3,and(not(X),or(b,t2))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(X))),bind(X_221,$fot(t3)),bind(X_222,$fot(or(b,t2)))]]) ).
cnf(refute_0_6540,plain,
( and(not(X),and(t3,or(b,t2))) != and(t3,and(not(X),or(b,t2)))
| not(or(X,xor(t3,or(b,t2)))) != and(not(X),and(t3,or(b,t2)))
| not(or(X,xor(t3,or(b,t2)))) = and(t3,and(not(X),or(b,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t3,or(b,t2)))),and(not(X),and(t3,or(b,t2)))) ),[1],$fot(and(t3,and(not(X),or(b,t2))))]]) ).
cnf(refute_0_6541,plain,
( not(or(X,xor(t3,or(b,t2)))) != and(not(X),and(t3,or(b,t2)))
| not(or(X,xor(t3,or(b,t2)))) = and(t3,and(not(X),or(b,t2))) ),
inference(resolve,[$cnf( $equal(and(not(X),and(t3,or(b,t2))),and(t3,and(not(X),or(b,t2)))) )],[refute_0_6539,refute_0_6540]) ).
cnf(refute_0_6542,plain,
not(or(X,xor(t3,or(b,t2)))) = and(t3,and(not(X),or(b,t2))),
inference(resolve,[$cnf( $equal(not(or(X,xor(t3,or(b,t2)))),and(not(X),and(t3,or(b,t2)))) )],[refute_0_6538,refute_0_6541]) ).
cnf(refute_0_6543,plain,
or(and(t2,not(xor(t2,or(b,and(t1,t2))))),and(not(t2),xor(t2,or(b,and(t1,t2))))) = xor(t2,xor(t2,or(b,and(t1,t2)))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t2)),bind(Y,$fot(xor(t2,or(b,and(t1,t2)))))]]) ).
cnf(refute_0_6544,plain,
not(or(xor(t2,or(b,and(t1,t2))),not(t2))) = not(or(not(t2),xor(t2,or(b,and(t1,t2))))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(not(t2))),bind(X_26,$fot(xor(t2,or(b,and(t1,t2)))))]]) ).
cnf(refute_0_6545,plain,
or(not(t2),and(not(t2),or(b,and(t1,t2)))) = not(t2),
inference(subst,[],[or_absorption:[bind(X,$fot(not(t2))),bind(Y,$fot(or(b,and(t1,t2))))]]) ).
cnf(refute_0_6546,plain,
or(and(t2,not(or(b,and(t1,t2)))),and(not(t2),or(b,and(t1,t2)))) = xor(t2,or(b,and(t1,t2))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t2)),bind(Y,$fot(or(b,and(t1,t2))))]]) ).
cnf(refute_0_6547,plain,
and(and(t1,not(b)),X_222) = and(t1,and(not(b),X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(t1)),bind(Y,$fot(not(b))),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_6548,plain,
( and(and(t1,not(b)),X_222) != and(t1,and(not(b),X_222))
| and(t1,not(b)) != not(b)
| and(not(b),X_222) = and(t1,and(not(b),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t1,not(b)),X_222),and(t1,and(not(b),X_222))) ),[0,0],$fot(not(b))]]) ).
cnf(refute_0_6549,plain,
( and(and(t1,not(b)),X_222) != and(t1,and(not(b),X_222))
| and(not(b),X_222) = and(t1,and(not(b),X_222)) ),
inference(resolve,[$cnf( $equal(and(t1,not(b)),not(b)) )],[refute_0_1214,refute_0_6548]) ).
cnf(refute_0_6550,plain,
and(not(b),X_222) = and(t1,and(not(b),X_222)),
inference(resolve,[$cnf( $equal(and(and(t1,not(b)),X_222),and(t1,and(not(b),X_222))) )],[refute_0_6547,refute_0_6549]) ).
cnf(refute_0_6551,plain,
and(not(b),and(t2,xor(t1,t2))) = and(t1,and(not(b),and(t2,xor(t1,t2)))),
inference(subst,[],[refute_0_6550:[bind(X_222,$fot(and(t2,xor(t1,t2))))]]) ).
cnf(refute_0_6552,plain,
and(and(X_220,t2),and(t1,xor(t1,t2))) = and(X_220,and(t2,and(t1,xor(t1,t2)))),
inference(subst,[],[and_associative:[bind(X,$fot(X_220)),bind(Y,$fot(t2)),bind(Z,$fot(and(t1,xor(t1,t2))))]]) ).
cnf(refute_0_6553,plain,
and(and(t2,xor(t1,t2)),t1) = and(t1,and(t2,xor(t1,t2))),
inference(subst,[],[and_commutative:[bind(X,$fot(and(t2,xor(t1,t2)))),bind(Y,$fot(t1))]]) ).
cnf(refute_0_6554,plain,
and(and(t1,t2),not(and(t1,t2))) = ll0,
inference(subst,[],[and_complement:[bind(X,$fot(and(t1,t2)))]]) ).
cnf(refute_0_6555,plain,
( and(and(t1,t2),not(and(t1,t2))) != ll0
| not(and(t1,t2)) != xor(t1,t2)
| and(and(t1,t2),xor(t1,t2)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t1,t2),not(and(t1,t2))),ll0) ),[0,1],$fot(xor(t1,t2))]]) ).
cnf(refute_0_6556,plain,
( and(and(t1,t2),not(and(t1,t2))) != ll0
| and(and(t1,t2),xor(t1,t2)) = ll0 ),
inference(resolve,[$cnf( $equal(not(and(t1,t2)),xor(t1,t2)) )],[refute_0_518,refute_0_6555]) ).
cnf(refute_0_6557,plain,
and(and(t1,t2),xor(t1,t2)) = ll0,
inference(resolve,[$cnf( $equal(and(and(t1,t2),not(and(t1,t2))),ll0) )],[refute_0_6554,refute_0_6556]) ).
cnf(refute_0_6558,plain,
and(and(t1,t2),xor(t1,t2)) = and(t1,and(t2,xor(t1,t2))),
inference(subst,[],[and_associative:[bind(X,$fot(t1)),bind(Y,$fot(t2)),bind(Z,$fot(xor(t1,t2)))]]) ).
cnf(refute_0_6559,plain,
( and(and(t1,t2),xor(t1,t2)) != and(t1,and(t2,xor(t1,t2)))
| and(and(t1,t2),xor(t1,t2)) != ll0
| and(t1,and(t2,xor(t1,t2))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t1,t2),xor(t1,t2)),ll0) ),[0],$fot(and(t1,and(t2,xor(t1,t2))))]]) ).
cnf(refute_0_6560,plain,
( and(and(t1,t2),xor(t1,t2)) != ll0
| and(t1,and(t2,xor(t1,t2))) = ll0 ),
inference(resolve,[$cnf( $equal(and(and(t1,t2),xor(t1,t2)),and(t1,and(t2,xor(t1,t2)))) )],[refute_0_6558,refute_0_6559]) ).
cnf(refute_0_6561,plain,
and(t1,and(t2,xor(t1,t2))) = ll0,
inference(resolve,[$cnf( $equal(and(and(t1,t2),xor(t1,t2)),ll0) )],[refute_0_6557,refute_0_6560]) ).
cnf(refute_0_6562,plain,
( and(and(t2,xor(t1,t2)),t1) != and(t1,and(t2,xor(t1,t2)))
| and(t1,and(t2,xor(t1,t2))) != ll0
| and(and(t2,xor(t1,t2)),t1) = ll0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(and(t2,xor(t1,t2)),t1),ll0) ),[0],$fot(and(t1,and(t2,xor(t1,t2))))]]) ).
cnf(refute_0_6563,plain,
( and(and(t2,xor(t1,t2)),t1) != and(t1,and(t2,xor(t1,t2)))
| and(and(t2,xor(t1,t2)),t1) = ll0 ),
inference(resolve,[$cnf( $equal(and(t1,and(t2,xor(t1,t2))),ll0) )],[refute_0_6561,refute_0_6562]) ).
cnf(refute_0_6564,plain,
and(and(t2,xor(t1,t2)),t1) = ll0,
inference(resolve,[$cnf( $equal(and(and(t2,xor(t1,t2)),t1),and(t1,and(t2,xor(t1,t2)))) )],[refute_0_6553,refute_0_6563]) ).
cnf(refute_0_6565,plain,
and(xor(t1,t2),t1) = and(t1,xor(t1,t2)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t1)),bind(Y,$fot(xor(t1,t2)))]]) ).
cnf(refute_0_6566,plain,
and(t2,and(xor(t1,t2),t1)) = and(t2,and(xor(t1,t2),t1)),
introduced(tautology,[refl,[$fot(and(t2,and(xor(t1,t2),t1)))]]) ).
cnf(refute_0_6567,plain,
( and(t2,and(xor(t1,t2),t1)) != and(t2,and(xor(t1,t2),t1))
| and(xor(t1,t2),t1) != and(t1,xor(t1,t2))
| and(t2,and(xor(t1,t2),t1)) = and(t2,and(t1,xor(t1,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,and(xor(t1,t2),t1)),and(t2,and(xor(t1,t2),t1))) ),[1,1],$fot(and(t1,xor(t1,t2)))]]) ).
cnf(refute_0_6568,plain,
( and(xor(t1,t2),t1) != and(t1,xor(t1,t2))
| and(t2,and(xor(t1,t2),t1)) = and(t2,and(t1,xor(t1,t2))) ),
inference(resolve,[$cnf( $equal(and(t2,and(xor(t1,t2),t1)),and(t2,and(xor(t1,t2),t1))) )],[refute_0_6566,refute_0_6567]) ).
cnf(refute_0_6569,plain,
and(t2,and(xor(t1,t2),t1)) = and(t2,and(t1,xor(t1,t2))),
inference(resolve,[$cnf( $equal(and(xor(t1,t2),t1),and(t1,xor(t1,t2))) )],[refute_0_6565,refute_0_6568]) ).
cnf(refute_0_6570,plain,
and(and(t2,xor(t1,t2)),t1) = and(t2,and(xor(t1,t2),t1)),
inference(subst,[],[and_associative:[bind(X,$fot(t2)),bind(Y,$fot(xor(t1,t2))),bind(Z,$fot(t1))]]) ).
cnf(refute_0_6571,plain,
( and(and(t2,xor(t1,t2)),t1) != and(t2,and(xor(t1,t2),t1))
| and(t2,and(xor(t1,t2),t1)) != and(t2,and(t1,xor(t1,t2)))
| and(and(t2,xor(t1,t2)),t1) = and(t2,and(t1,xor(t1,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(t2,xor(t1,t2)),t1))),bind(Y0,$fot(and(t2,and(xor(t1,t2),t1)))),bind(Z0,$fot(and(t2,and(t1,xor(t1,t2)))))]]) ).
cnf(refute_0_6572,plain,
( and(t2,and(xor(t1,t2),t1)) != and(t2,and(t1,xor(t1,t2)))
| and(and(t2,xor(t1,t2)),t1) = and(t2,and(t1,xor(t1,t2))) ),
inference(resolve,[$cnf( $equal(and(and(t2,xor(t1,t2)),t1),and(t2,and(xor(t1,t2),t1))) )],[refute_0_6570,refute_0_6571]) ).
cnf(refute_0_6573,plain,
and(and(t2,xor(t1,t2)),t1) = and(t2,and(t1,xor(t1,t2))),
inference(resolve,[$cnf( $equal(and(t2,and(xor(t1,t2),t1)),and(t2,and(t1,xor(t1,t2)))) )],[refute_0_6569,refute_0_6572]) ).
cnf(refute_0_6574,plain,
( and(and(t2,xor(t1,t2)),t1) != and(t2,and(t1,xor(t1,t2)))
| and(and(t2,xor(t1,t2)),t1) != ll0
| and(t2,and(t1,xor(t1,t2))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t2,xor(t1,t2)),t1),ll0) ),[0],$fot(and(t2,and(t1,xor(t1,t2))))]]) ).
cnf(refute_0_6575,plain,
( and(and(t2,xor(t1,t2)),t1) != ll0
| and(t2,and(t1,xor(t1,t2))) = ll0 ),
inference(resolve,[$cnf( $equal(and(and(t2,xor(t1,t2)),t1),and(t2,and(t1,xor(t1,t2)))) )],[refute_0_6573,refute_0_6574]) ).
cnf(refute_0_6576,plain,
and(t2,and(t1,xor(t1,t2))) = ll0,
inference(resolve,[$cnf( $equal(and(and(t2,xor(t1,t2)),t1),ll0) )],[refute_0_6564,refute_0_6575]) ).
cnf(refute_0_6577,plain,
( and(and(X_220,t2),and(t1,xor(t1,t2))) != and(X_220,and(t2,and(t1,xor(t1,t2))))
| and(t2,and(t1,xor(t1,t2))) != ll0
| and(and(X_220,t2),and(t1,xor(t1,t2))) = and(X_220,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X_220,t2),and(t1,xor(t1,t2))),and(X_220,and(t2,and(t1,xor(t1,t2))))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_6578,plain,
( and(and(X_220,t2),and(t1,xor(t1,t2))) != and(X_220,and(t2,and(t1,xor(t1,t2))))
| and(and(X_220,t2),and(t1,xor(t1,t2))) = and(X_220,ll0) ),
inference(resolve,[$cnf( $equal(and(t2,and(t1,xor(t1,t2))),ll0) )],[refute_0_6576,refute_0_6577]) ).
cnf(refute_0_6579,plain,
and(and(X_220,t2),and(t1,xor(t1,t2))) = and(X_220,ll0),
inference(resolve,[$cnf( $equal(and(and(X_220,t2),and(t1,xor(t1,t2))),and(X_220,and(t2,and(t1,xor(t1,t2))))) )],[refute_0_6552,refute_0_6578]) ).
cnf(refute_0_6580,plain,
and(and(X_220,t2),xor(t1,t2)) = and(X_220,and(t2,xor(t1,t2))),
inference(subst,[],[and_associative:[bind(X,$fot(X_220)),bind(Y,$fot(t2)),bind(Z,$fot(xor(t1,t2)))]]) ).
cnf(refute_0_6581,plain,
and(t1,and(and(X_220,t2),xor(t1,t2))) = and(t1,and(and(X_220,t2),xor(t1,t2))),
introduced(tautology,[refl,[$fot(and(t1,and(and(X_220,t2),xor(t1,t2))))]]) ).
cnf(refute_0_6582,plain,
( and(and(X_220,t2),xor(t1,t2)) != and(X_220,and(t2,xor(t1,t2)))
| and(t1,and(and(X_220,t2),xor(t1,t2))) != and(t1,and(and(X_220,t2),xor(t1,t2)))
| and(t1,and(and(X_220,t2),xor(t1,t2))) = and(t1,and(X_220,and(t2,xor(t1,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,and(and(X_220,t2),xor(t1,t2))),and(t1,and(and(X_220,t2),xor(t1,t2)))) ),[1,1],$fot(and(X_220,and(t2,xor(t1,t2))))]]) ).
cnf(refute_0_6583,plain,
( and(and(X_220,t2),xor(t1,t2)) != and(X_220,and(t2,xor(t1,t2)))
| and(t1,and(and(X_220,t2),xor(t1,t2))) = and(t1,and(X_220,and(t2,xor(t1,t2)))) ),
inference(resolve,[$cnf( $equal(and(t1,and(and(X_220,t2),xor(t1,t2))),and(t1,and(and(X_220,t2),xor(t1,t2)))) )],[refute_0_6581,refute_0_6582]) ).
cnf(refute_0_6584,plain,
and(t1,and(and(X_220,t2),xor(t1,t2))) = and(t1,and(X_220,and(t2,xor(t1,t2)))),
inference(resolve,[$cnf( $equal(and(and(X_220,t2),xor(t1,t2)),and(X_220,and(t2,xor(t1,t2)))) )],[refute_0_6580,refute_0_6583]) ).
cnf(refute_0_6585,plain,
and(and(X_220,t2),and(t1,xor(t1,t2))) = and(t1,and(and(X_220,t2),xor(t1,t2))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(and(X_220,t2))),bind(X_221,$fot(t1)),bind(X_222,$fot(xor(t1,t2)))]]) ).
cnf(refute_0_6586,plain,
( and(and(X_220,t2),and(t1,xor(t1,t2))) != and(t1,and(and(X_220,t2),xor(t1,t2)))
| and(t1,and(and(X_220,t2),xor(t1,t2))) != and(t1,and(X_220,and(t2,xor(t1,t2))))
| and(and(X_220,t2),and(t1,xor(t1,t2))) = and(t1,and(X_220,and(t2,xor(t1,t2)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(X_220,t2),and(t1,xor(t1,t2))))),bind(Y0,$fot(and(t1,and(and(X_220,t2),xor(t1,t2))))),bind(Z0,$fot(and(t1,and(X_220,and(t2,xor(t1,t2))))))]]) ).
cnf(refute_0_6587,plain,
( and(t1,and(and(X_220,t2),xor(t1,t2))) != and(t1,and(X_220,and(t2,xor(t1,t2))))
| and(and(X_220,t2),and(t1,xor(t1,t2))) = and(t1,and(X_220,and(t2,xor(t1,t2)))) ),
inference(resolve,[$cnf( $equal(and(and(X_220,t2),and(t1,xor(t1,t2))),and(t1,and(and(X_220,t2),xor(t1,t2)))) )],[refute_0_6585,refute_0_6586]) ).
cnf(refute_0_6588,plain,
and(and(X_220,t2),and(t1,xor(t1,t2))) = and(t1,and(X_220,and(t2,xor(t1,t2)))),
inference(resolve,[$cnf( $equal(and(t1,and(and(X_220,t2),xor(t1,t2))),and(t1,and(X_220,and(t2,xor(t1,t2))))) )],[refute_0_6584,refute_0_6587]) ).
cnf(refute_0_6589,plain,
( and(and(X_220,t2),and(t1,xor(t1,t2))) != and(X_220,ll0)
| and(and(X_220,t2),and(t1,xor(t1,t2))) != and(t1,and(X_220,and(t2,xor(t1,t2))))
| and(t1,and(X_220,and(t2,xor(t1,t2)))) = and(X_220,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X_220,t2),and(t1,xor(t1,t2))),and(X_220,ll0)) ),[0],$fot(and(t1,and(X_220,and(t2,xor(t1,t2)))))]]) ).
cnf(refute_0_6590,plain,
( and(and(X_220,t2),and(t1,xor(t1,t2))) != and(X_220,ll0)
| and(t1,and(X_220,and(t2,xor(t1,t2)))) = and(X_220,ll0) ),
inference(resolve,[$cnf( $equal(and(and(X_220,t2),and(t1,xor(t1,t2))),and(t1,and(X_220,and(t2,xor(t1,t2))))) )],[refute_0_6588,refute_0_6589]) ).
cnf(refute_0_6591,plain,
( and(X_220,ll0) != ll0
| and(t1,and(X_220,and(t2,xor(t1,t2)))) != and(X_220,ll0)
| and(t1,and(X_220,and(t2,xor(t1,t2)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,and(X_220,and(t2,xor(t1,t2)))),and(X_220,ll0)) ),[1],$fot(ll0)]]) ).
cnf(refute_0_6592,plain,
( and(t1,and(X_220,and(t2,xor(t1,t2)))) != and(X_220,ll0)
| and(t1,and(X_220,and(t2,xor(t1,t2)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(X_220,ll0),ll0) )],[refute_0_3381,refute_0_6591]) ).
cnf(refute_0_6593,plain,
( and(and(X_220,t2),and(t1,xor(t1,t2))) != and(X_220,ll0)
| and(t1,and(X_220,and(t2,xor(t1,t2)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(t1,and(X_220,and(t2,xor(t1,t2)))),and(X_220,ll0)) )],[refute_0_6590,refute_0_6592]) ).
cnf(refute_0_6594,plain,
and(t1,and(X_220,and(t2,xor(t1,t2)))) = ll0,
inference(resolve,[$cnf( $equal(and(and(X_220,t2),and(t1,xor(t1,t2))),and(X_220,ll0)) )],[refute_0_6579,refute_0_6593]) ).
cnf(refute_0_6595,plain,
and(t1,and(not(b),and(t2,xor(t1,t2)))) = ll0,
inference(subst,[],[refute_0_6594:[bind(X_220,$fot(not(b)))]]) ).
cnf(refute_0_6596,plain,
( and(not(b),and(t2,xor(t1,t2))) != and(t1,and(not(b),and(t2,xor(t1,t2))))
| and(t1,and(not(b),and(t2,xor(t1,t2)))) != ll0
| and(not(b),and(t2,xor(t1,t2))) = ll0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(b),and(t2,xor(t1,t2))),ll0) ),[0],$fot(and(t1,and(not(b),and(t2,xor(t1,t2)))))]]) ).
cnf(refute_0_6597,plain,
( and(not(b),and(t2,xor(t1,t2))) != and(t1,and(not(b),and(t2,xor(t1,t2))))
| and(not(b),and(t2,xor(t1,t2))) = ll0 ),
inference(resolve,[$cnf( $equal(and(t1,and(not(b),and(t2,xor(t1,t2)))),ll0) )],[refute_0_6595,refute_0_6596]) ).
cnf(refute_0_6598,plain,
and(not(b),and(t2,xor(t1,t2))) = ll0,
inference(resolve,[$cnf( $equal(and(not(b),and(t2,xor(t1,t2))),and(t1,and(not(b),and(t2,xor(t1,t2))))) )],[refute_0_6551,refute_0_6597]) ).
cnf(refute_0_6599,plain,
not(or(X,and(t1,t2))) = and(not(X),not(and(t1,t2))),
inference(subst,[],[or_demorgan:[bind(Y,$fot(and(t1,t2)))]]) ).
cnf(refute_0_6600,plain,
( not(and(t1,t2)) != xor(t1,t2)
| not(or(X,and(t1,t2))) != and(not(X),not(and(t1,t2)))
| not(or(X,and(t1,t2))) = and(not(X),xor(t1,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,and(t1,t2))),and(not(X),not(and(t1,t2)))) ),[1,1],$fot(xor(t1,t2))]]) ).
cnf(refute_0_6601,plain,
( not(or(X,and(t1,t2))) != and(not(X),not(and(t1,t2)))
| not(or(X,and(t1,t2))) = and(not(X),xor(t1,t2)) ),
inference(resolve,[$cnf( $equal(not(and(t1,t2)),xor(t1,t2)) )],[refute_0_518,refute_0_6600]) ).
cnf(refute_0_6602,plain,
not(or(X,and(t1,t2))) = and(not(X),xor(t1,t2)),
inference(resolve,[$cnf( $equal(not(or(X,and(t1,t2))),and(not(X),not(and(t1,t2)))) )],[refute_0_6599,refute_0_6601]) ).
cnf(refute_0_6603,plain,
( not(or(X,and(t1,t2))) != and(not(X),xor(t1,t2))
| and(not(X),xor(t1,t2)) = not(or(X,and(t1,t2))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X,and(t1,t2))))),bind(Y0,$fot(and(not(X),xor(t1,t2))))]]) ).
cnf(refute_0_6604,plain,
and(not(X),xor(t1,t2)) = not(or(X,and(t1,t2))),
inference(resolve,[$cnf( $equal(not(or(X,and(t1,t2))),and(not(X),xor(t1,t2))) )],[refute_0_6602,refute_0_6603]) ).
cnf(refute_0_6605,plain,
and(not(b),xor(t1,t2)) = not(or(b,and(t1,t2))),
inference(subst,[],[refute_0_6604:[bind(X,$fot(b))]]) ).
cnf(refute_0_6606,plain,
and(t2,and(not(b),xor(t1,t2))) = and(t2,and(not(b),xor(t1,t2))),
introduced(tautology,[refl,[$fot(and(t2,and(not(b),xor(t1,t2))))]]) ).
cnf(refute_0_6607,plain,
( and(not(b),xor(t1,t2)) != not(or(b,and(t1,t2)))
| and(t2,and(not(b),xor(t1,t2))) != and(t2,and(not(b),xor(t1,t2)))
| and(t2,and(not(b),xor(t1,t2))) = and(t2,not(or(b,and(t1,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,and(not(b),xor(t1,t2))),and(t2,and(not(b),xor(t1,t2)))) ),[1,1],$fot(not(or(b,and(t1,t2))))]]) ).
cnf(refute_0_6608,plain,
( and(not(b),xor(t1,t2)) != not(or(b,and(t1,t2)))
| and(t2,and(not(b),xor(t1,t2))) = and(t2,not(or(b,and(t1,t2)))) ),
inference(resolve,[$cnf( $equal(and(t2,and(not(b),xor(t1,t2))),and(t2,and(not(b),xor(t1,t2)))) )],[refute_0_6606,refute_0_6607]) ).
cnf(refute_0_6609,plain,
and(t2,and(not(b),xor(t1,t2))) = and(t2,not(or(b,and(t1,t2)))),
inference(resolve,[$cnf( $equal(and(not(b),xor(t1,t2)),not(or(b,and(t1,t2)))) )],[refute_0_6605,refute_0_6608]) ).
cnf(refute_0_6610,plain,
and(not(b),and(t2,xor(t1,t2))) = and(t2,and(not(b),xor(t1,t2))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(b))),bind(X_221,$fot(t2)),bind(X_222,$fot(xor(t1,t2)))]]) ).
cnf(refute_0_6611,plain,
( and(not(b),and(t2,xor(t1,t2))) != and(t2,and(not(b),xor(t1,t2)))
| and(t2,and(not(b),xor(t1,t2))) != and(t2,not(or(b,and(t1,t2))))
| and(not(b),and(t2,xor(t1,t2))) = and(t2,not(or(b,and(t1,t2)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(b),and(t2,xor(t1,t2))))),bind(Y0,$fot(and(t2,and(not(b),xor(t1,t2))))),bind(Z0,$fot(and(t2,not(or(b,and(t1,t2))))))]]) ).
cnf(refute_0_6612,plain,
( and(t2,and(not(b),xor(t1,t2))) != and(t2,not(or(b,and(t1,t2))))
| and(not(b),and(t2,xor(t1,t2))) = and(t2,not(or(b,and(t1,t2)))) ),
inference(resolve,[$cnf( $equal(and(not(b),and(t2,xor(t1,t2))),and(t2,and(not(b),xor(t1,t2)))) )],[refute_0_6610,refute_0_6611]) ).
cnf(refute_0_6613,plain,
and(not(b),and(t2,xor(t1,t2))) = and(t2,not(or(b,and(t1,t2)))),
inference(resolve,[$cnf( $equal(and(t2,and(not(b),xor(t1,t2))),and(t2,not(or(b,and(t1,t2))))) )],[refute_0_6609,refute_0_6612]) ).
cnf(refute_0_6614,plain,
( and(not(b),and(t2,xor(t1,t2))) != and(t2,not(or(b,and(t1,t2))))
| and(not(b),and(t2,xor(t1,t2))) != ll0
| and(t2,not(or(b,and(t1,t2)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(not(b),and(t2,xor(t1,t2))),ll0) ),[0],$fot(and(t2,not(or(b,and(t1,t2)))))]]) ).
cnf(refute_0_6615,plain,
( and(not(b),and(t2,xor(t1,t2))) != ll0
| and(t2,not(or(b,and(t1,t2)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(not(b),and(t2,xor(t1,t2))),and(t2,not(or(b,and(t1,t2))))) )],[refute_0_6613,refute_0_6614]) ).
cnf(refute_0_6616,plain,
and(t2,not(or(b,and(t1,t2)))) = ll0,
inference(resolve,[$cnf( $equal(and(not(b),and(t2,xor(t1,t2))),ll0) )],[refute_0_6598,refute_0_6615]) ).
cnf(refute_0_6617,plain,
( and(t2,not(or(b,and(t1,t2)))) != ll0
| or(and(t2,not(or(b,and(t1,t2)))),and(not(t2),or(b,and(t1,t2)))) != xor(t2,or(b,and(t1,t2)))
| or(ll0,and(not(t2),or(b,and(t1,t2)))) = xor(t2,or(b,and(t1,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t2,not(or(b,and(t1,t2)))),and(not(t2),or(b,and(t1,t2)))),xor(t2,or(b,and(t1,t2)))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_6618,plain,
( or(and(t2,not(or(b,and(t1,t2)))),and(not(t2),or(b,and(t1,t2)))) != xor(t2,or(b,and(t1,t2)))
| or(ll0,and(not(t2),or(b,and(t1,t2)))) = xor(t2,or(b,and(t1,t2))) ),
inference(resolve,[$cnf( $equal(and(t2,not(or(b,and(t1,t2)))),ll0) )],[refute_0_6616,refute_0_6617]) ).
cnf(refute_0_6619,plain,
or(ll0,and(not(t2),or(b,and(t1,t2)))) = xor(t2,or(b,and(t1,t2))),
inference(resolve,[$cnf( $equal(or(and(t2,not(or(b,and(t1,t2)))),and(not(t2),or(b,and(t1,t2)))),xor(t2,or(b,and(t1,t2)))) )],[refute_0_6546,refute_0_6618]) ).
cnf(refute_0_6620,plain,
or(ll0,and(not(t2),or(b,and(t1,t2)))) = and(not(t2),or(b,and(t1,t2))),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(t2),or(b,and(t1,t2)))))]]) ).
cnf(refute_0_6621,plain,
( or(ll0,and(not(t2),or(b,and(t1,t2)))) != and(not(t2),or(b,and(t1,t2)))
| or(ll0,and(not(t2),or(b,and(t1,t2)))) != xor(t2,or(b,and(t1,t2)))
| and(not(t2),or(b,and(t1,t2))) = xor(t2,or(b,and(t1,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(t2),or(b,and(t1,t2)))),xor(t2,or(b,and(t1,t2)))) ),[0],$fot(and(not(t2),or(b,and(t1,t2))))]]) ).
cnf(refute_0_6622,plain,
( or(ll0,and(not(t2),or(b,and(t1,t2)))) != xor(t2,or(b,and(t1,t2)))
| and(not(t2),or(b,and(t1,t2))) = xor(t2,or(b,and(t1,t2))) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t2),or(b,and(t1,t2)))),and(not(t2),or(b,and(t1,t2)))) )],[refute_0_6620,refute_0_6621]) ).
cnf(refute_0_6623,plain,
and(not(t2),or(b,and(t1,t2))) = xor(t2,or(b,and(t1,t2))),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t2),or(b,and(t1,t2)))),xor(t2,or(b,and(t1,t2)))) )],[refute_0_6619,refute_0_6622]) ).
cnf(refute_0_6624,plain,
( and(not(t2),or(b,and(t1,t2))) != xor(t2,or(b,and(t1,t2)))
| or(not(t2),and(not(t2),or(b,and(t1,t2)))) != not(t2)
| or(not(t2),xor(t2,or(b,and(t1,t2)))) = not(t2) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t2),and(not(t2),or(b,and(t1,t2)))),not(t2)) ),[0,1],$fot(xor(t2,or(b,and(t1,t2))))]]) ).
cnf(refute_0_6625,plain,
( or(not(t2),and(not(t2),or(b,and(t1,t2)))) != not(t2)
| or(not(t2),xor(t2,or(b,and(t1,t2)))) = not(t2) ),
inference(resolve,[$cnf( $equal(and(not(t2),or(b,and(t1,t2))),xor(t2,or(b,and(t1,t2)))) )],[refute_0_6623,refute_0_6624]) ).
cnf(refute_0_6626,plain,
or(not(t2),xor(t2,or(b,and(t1,t2)))) = not(t2),
inference(resolve,[$cnf( $equal(or(not(t2),and(not(t2),or(b,and(t1,t2)))),not(t2)) )],[refute_0_6545,refute_0_6625]) ).
cnf(refute_0_6627,plain,
( not(or(xor(t2,or(b,and(t1,t2))),not(t2))) != not(or(not(t2),xor(t2,or(b,and(t1,t2)))))
| or(not(t2),xor(t2,or(b,and(t1,t2)))) != not(t2)
| not(or(xor(t2,or(b,and(t1,t2))),not(t2))) = not(not(t2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(t2,or(b,and(t1,t2))),not(t2))),not(or(not(t2),xor(t2,or(b,and(t1,t2)))))) ),[1,0],$fot(not(t2))]]) ).
cnf(refute_0_6628,plain,
( not(or(xor(t2,or(b,and(t1,t2))),not(t2))) != not(or(not(t2),xor(t2,or(b,and(t1,t2)))))
| not(or(xor(t2,or(b,and(t1,t2))),not(t2))) = not(not(t2)) ),
inference(resolve,[$cnf( $equal(or(not(t2),xor(t2,or(b,and(t1,t2)))),not(t2)) )],[refute_0_6626,refute_0_6627]) ).
cnf(refute_0_6629,plain,
not(or(xor(t2,or(b,and(t1,t2))),not(t2))) = not(not(t2)),
inference(resolve,[$cnf( $equal(not(or(xor(t2,or(b,and(t1,t2))),not(t2))),not(or(not(t2),xor(t2,or(b,and(t1,t2)))))) )],[refute_0_6544,refute_0_6628]) ).
cnf(refute_0_6630,plain,
and(not(xor(t2,or(b,and(t1,t2)))),t2) = and(t2,not(xor(t2,or(b,and(t1,t2))))),
inference(subst,[],[refute_0_116:[bind(X,$fot(t2)),bind(Y,$fot(not(xor(t2,or(b,and(t1,t2))))))]]) ).
cnf(refute_0_6631,plain,
not(or(xor(t2,or(b,and(t1,t2))),not(t2))) = and(not(xor(t2,or(b,and(t1,t2)))),t2),
inference(subst,[],[refute_0_801:[bind(X,$fot(t2)),bind(X_25,$fot(xor(t2,or(b,and(t1,t2)))))]]) ).
cnf(refute_0_6632,plain,
( and(not(xor(t2,or(b,and(t1,t2)))),t2) != and(t2,not(xor(t2,or(b,and(t1,t2)))))
| not(or(xor(t2,or(b,and(t1,t2))),not(t2))) != and(not(xor(t2,or(b,and(t1,t2)))),t2)
| not(or(xor(t2,or(b,and(t1,t2))),not(t2))) = and(t2,not(xor(t2,or(b,and(t1,t2))))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(xor(t2,or(b,and(t1,t2))),not(t2))))),bind(Y0,$fot(and(not(xor(t2,or(b,and(t1,t2)))),t2))),bind(Z0,$fot(and(t2,not(xor(t2,or(b,and(t1,t2)))))))]]) ).
cnf(refute_0_6633,plain,
( and(not(xor(t2,or(b,and(t1,t2)))),t2) != and(t2,not(xor(t2,or(b,and(t1,t2)))))
| not(or(xor(t2,or(b,and(t1,t2))),not(t2))) = and(t2,not(xor(t2,or(b,and(t1,t2))))) ),
inference(resolve,[$cnf( $equal(not(or(xor(t2,or(b,and(t1,t2))),not(t2))),and(not(xor(t2,or(b,and(t1,t2)))),t2)) )],[refute_0_6631,refute_0_6632]) ).
cnf(refute_0_6634,plain,
not(or(xor(t2,or(b,and(t1,t2))),not(t2))) = and(t2,not(xor(t2,or(b,and(t1,t2))))),
inference(resolve,[$cnf( $equal(and(not(xor(t2,or(b,and(t1,t2)))),t2),and(t2,not(xor(t2,or(b,and(t1,t2)))))) )],[refute_0_6630,refute_0_6633]) ).
cnf(refute_0_6635,plain,
( not(or(xor(t2,or(b,and(t1,t2))),not(t2))) != and(t2,not(xor(t2,or(b,and(t1,t2)))))
| not(or(xor(t2,or(b,and(t1,t2))),not(t2))) != not(not(t2))
| and(t2,not(xor(t2,or(b,and(t1,t2))))) = not(not(t2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(t2,or(b,and(t1,t2))),not(t2))),not(not(t2))) ),[0],$fot(and(t2,not(xor(t2,or(b,and(t1,t2))))))]]) ).
cnf(refute_0_6636,plain,
( not(or(xor(t2,or(b,and(t1,t2))),not(t2))) != not(not(t2))
| and(t2,not(xor(t2,or(b,and(t1,t2))))) = not(not(t2)) ),
inference(resolve,[$cnf( $equal(not(or(xor(t2,or(b,and(t1,t2))),not(t2))),and(t2,not(xor(t2,or(b,and(t1,t2)))))) )],[refute_0_6634,refute_0_6635]) ).
cnf(refute_0_6637,plain,
( and(t2,not(xor(t2,or(b,and(t1,t2))))) != not(not(t2))
| not(not(t2)) != t2
| and(t2,not(xor(t2,or(b,and(t1,t2))))) = t2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t2,not(xor(t2,or(b,and(t1,t2))))),t2) ),[0],$fot(not(not(t2)))]]) ).
cnf(refute_0_6638,plain,
( and(t2,not(xor(t2,or(b,and(t1,t2))))) != not(not(t2))
| and(t2,not(xor(t2,or(b,and(t1,t2))))) = t2 ),
inference(resolve,[$cnf( $equal(not(not(t2)),t2) )],[refute_0_1710,refute_0_6637]) ).
cnf(refute_0_6639,plain,
( not(or(xor(t2,or(b,and(t1,t2))),not(t2))) != not(not(t2))
| and(t2,not(xor(t2,or(b,and(t1,t2))))) = t2 ),
inference(resolve,[$cnf( $equal(and(t2,not(xor(t2,or(b,and(t1,t2))))),not(not(t2))) )],[refute_0_6636,refute_0_6638]) ).
cnf(refute_0_6640,plain,
and(t2,not(xor(t2,or(b,and(t1,t2))))) = t2,
inference(resolve,[$cnf( $equal(not(or(xor(t2,or(b,and(t1,t2))),not(t2))),not(not(t2))) )],[refute_0_6629,refute_0_6639]) ).
cnf(refute_0_6641,plain,
( and(t2,not(xor(t2,or(b,and(t1,t2))))) != t2
| or(and(t2,not(xor(t2,or(b,and(t1,t2))))),and(not(t2),xor(t2,or(b,and(t1,t2))))) != xor(t2,xor(t2,or(b,and(t1,t2))))
| or(t2,and(not(t2),xor(t2,or(b,and(t1,t2))))) = xor(t2,xor(t2,or(b,and(t1,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t2,not(xor(t2,or(b,and(t1,t2))))),and(not(t2),xor(t2,or(b,and(t1,t2))))),xor(t2,xor(t2,or(b,and(t1,t2))))) ),[0,0],$fot(t2)]]) ).
cnf(refute_0_6642,plain,
( or(and(t2,not(xor(t2,or(b,and(t1,t2))))),and(not(t2),xor(t2,or(b,and(t1,t2))))) != xor(t2,xor(t2,or(b,and(t1,t2))))
| or(t2,and(not(t2),xor(t2,or(b,and(t1,t2))))) = xor(t2,xor(t2,or(b,and(t1,t2)))) ),
inference(resolve,[$cnf( $equal(and(t2,not(xor(t2,or(b,and(t1,t2))))),t2) )],[refute_0_6640,refute_0_6641]) ).
cnf(refute_0_6643,plain,
or(t2,and(not(t2),xor(t2,or(b,and(t1,t2))))) = xor(t2,xor(t2,or(b,and(t1,t2)))),
inference(resolve,[$cnf( $equal(or(and(t2,not(xor(t2,or(b,and(t1,t2))))),and(not(t2),xor(t2,or(b,and(t1,t2))))),xor(t2,xor(t2,or(b,and(t1,t2))))) )],[refute_0_6543,refute_0_6642]) ).
cnf(refute_0_6644,plain,
and(xor(t2,or(b,and(t1,t2))),or(not(t2),xor(t2,or(b,and(t1,t2))))) = xor(t2,or(b,and(t1,t2))),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(xor(t2,or(b,and(t1,t2))))),bind(X_20,$fot(not(t2)))]]) ).
cnf(refute_0_6645,plain,
( and(xor(t2,or(b,and(t1,t2))),or(not(t2),xor(t2,or(b,and(t1,t2))))) != xor(t2,or(b,and(t1,t2)))
| or(not(t2),xor(t2,or(b,and(t1,t2)))) != not(t2)
| and(xor(t2,or(b,and(t1,t2))),not(t2)) = xor(t2,or(b,and(t1,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t2,or(b,and(t1,t2))),or(not(t2),xor(t2,or(b,and(t1,t2))))),xor(t2,or(b,and(t1,t2)))) ),[0,1],$fot(not(t2))]]) ).
cnf(refute_0_6646,plain,
( and(xor(t2,or(b,and(t1,t2))),or(not(t2),xor(t2,or(b,and(t1,t2))))) != xor(t2,or(b,and(t1,t2)))
| and(xor(t2,or(b,and(t1,t2))),not(t2)) = xor(t2,or(b,and(t1,t2))) ),
inference(resolve,[$cnf( $equal(or(not(t2),xor(t2,or(b,and(t1,t2)))),not(t2)) )],[refute_0_6626,refute_0_6645]) ).
cnf(refute_0_6647,plain,
and(xor(t2,or(b,and(t1,t2))),not(t2)) = xor(t2,or(b,and(t1,t2))),
inference(resolve,[$cnf( $equal(and(xor(t2,or(b,and(t1,t2))),or(not(t2),xor(t2,or(b,and(t1,t2))))),xor(t2,or(b,and(t1,t2)))) )],[refute_0_6644,refute_0_6646]) ).
cnf(refute_0_6648,plain,
and(xor(t2,or(b,and(t1,t2))),not(t2)) = and(not(t2),xor(t2,or(b,and(t1,t2)))),
inference(subst,[],[refute_0_116:[bind(X,$fot(not(t2))),bind(Y,$fot(xor(t2,or(b,and(t1,t2)))))]]) ).
cnf(refute_0_6649,plain,
( and(xor(t2,or(b,and(t1,t2))),not(t2)) != and(not(t2),xor(t2,or(b,and(t1,t2))))
| and(xor(t2,or(b,and(t1,t2))),not(t2)) != xor(t2,or(b,and(t1,t2)))
| and(not(t2),xor(t2,or(b,and(t1,t2)))) = xor(t2,or(b,and(t1,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t2,or(b,and(t1,t2))),not(t2)),xor(t2,or(b,and(t1,t2)))) ),[0],$fot(and(not(t2),xor(t2,or(b,and(t1,t2)))))]]) ).
cnf(refute_0_6650,plain,
( and(xor(t2,or(b,and(t1,t2))),not(t2)) != xor(t2,or(b,and(t1,t2)))
| and(not(t2),xor(t2,or(b,and(t1,t2)))) = xor(t2,or(b,and(t1,t2))) ),
inference(resolve,[$cnf( $equal(and(xor(t2,or(b,and(t1,t2))),not(t2)),and(not(t2),xor(t2,or(b,and(t1,t2))))) )],[refute_0_6648,refute_0_6649]) ).
cnf(refute_0_6651,plain,
and(not(t2),xor(t2,or(b,and(t1,t2)))) = xor(t2,or(b,and(t1,t2))),
inference(resolve,[$cnf( $equal(and(xor(t2,or(b,and(t1,t2))),not(t2)),xor(t2,or(b,and(t1,t2)))) )],[refute_0_6647,refute_0_6650]) ).
cnf(refute_0_6652,plain,
or(t2,and(not(t2),xor(t2,or(b,and(t1,t2))))) = or(t2,and(not(t2),xor(t2,or(b,and(t1,t2))))),
introduced(tautology,[refl,[$fot(or(t2,and(not(t2),xor(t2,or(b,and(t1,t2))))))]]) ).
cnf(refute_0_6653,plain,
( and(not(t2),xor(t2,or(b,and(t1,t2)))) != xor(t2,or(b,and(t1,t2)))
| or(t2,and(not(t2),xor(t2,or(b,and(t1,t2))))) != or(t2,and(not(t2),xor(t2,or(b,and(t1,t2)))))
| or(t2,and(not(t2),xor(t2,or(b,and(t1,t2))))) = or(t2,xor(t2,or(b,and(t1,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,and(not(t2),xor(t2,or(b,and(t1,t2))))),or(t2,and(not(t2),xor(t2,or(b,and(t1,t2)))))) ),[1,1],$fot(xor(t2,or(b,and(t1,t2))))]]) ).
cnf(refute_0_6654,plain,
( and(not(t2),xor(t2,or(b,and(t1,t2)))) != xor(t2,or(b,and(t1,t2)))
| or(t2,and(not(t2),xor(t2,or(b,and(t1,t2))))) = or(t2,xor(t2,or(b,and(t1,t2)))) ),
inference(resolve,[$cnf( $equal(or(t2,and(not(t2),xor(t2,or(b,and(t1,t2))))),or(t2,and(not(t2),xor(t2,or(b,and(t1,t2)))))) )],[refute_0_6652,refute_0_6653]) ).
cnf(refute_0_6655,plain,
or(t2,and(not(t2),xor(t2,or(b,and(t1,t2))))) = or(t2,xor(t2,or(b,and(t1,t2)))),
inference(resolve,[$cnf( $equal(and(not(t2),xor(t2,or(b,and(t1,t2)))),xor(t2,or(b,and(t1,t2)))) )],[refute_0_6651,refute_0_6654]) ).
cnf(refute_0_6656,plain,
( or(t2,and(not(t2),xor(t2,or(b,and(t1,t2))))) != or(t2,xor(t2,or(b,and(t1,t2))))
| or(t2,and(not(t2),xor(t2,or(b,and(t1,t2))))) != xor(t2,xor(t2,or(b,and(t1,t2))))
| or(t2,xor(t2,or(b,and(t1,t2)))) = xor(t2,xor(t2,or(b,and(t1,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,and(not(t2),xor(t2,or(b,and(t1,t2))))),xor(t2,xor(t2,or(b,and(t1,t2))))) ),[0],$fot(or(t2,xor(t2,or(b,and(t1,t2)))))]]) ).
cnf(refute_0_6657,plain,
( or(t2,and(not(t2),xor(t2,or(b,and(t1,t2))))) != xor(t2,xor(t2,or(b,and(t1,t2))))
| or(t2,xor(t2,or(b,and(t1,t2)))) = xor(t2,xor(t2,or(b,and(t1,t2)))) ),
inference(resolve,[$cnf( $equal(or(t2,and(not(t2),xor(t2,or(b,and(t1,t2))))),or(t2,xor(t2,or(b,and(t1,t2))))) )],[refute_0_6655,refute_0_6656]) ).
cnf(refute_0_6658,plain,
or(t2,xor(t2,or(b,and(t1,t2)))) = xor(t2,xor(t2,or(b,and(t1,t2)))),
inference(resolve,[$cnf( $equal(or(t2,and(not(t2),xor(t2,or(b,and(t1,t2))))),xor(t2,xor(t2,or(b,and(t1,t2))))) )],[refute_0_6643,refute_0_6657]) ).
cnf(refute_0_6659,plain,
xor(t2,xor(t2,or(b,and(t1,t2)))) = or(b,and(t1,t2)),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(t2)),bind(X_335,$fot(or(b,and(t1,t2))))]]) ).
cnf(refute_0_6660,plain,
( or(t2,xor(t2,or(b,and(t1,t2)))) != xor(t2,xor(t2,or(b,and(t1,t2))))
| xor(t2,xor(t2,or(b,and(t1,t2)))) != or(b,and(t1,t2))
| or(t2,xor(t2,or(b,and(t1,t2)))) = or(b,and(t1,t2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(t2,xor(t2,or(b,and(t1,t2)))),or(b,and(t1,t2))) ),[0],$fot(xor(t2,xor(t2,or(b,and(t1,t2)))))]]) ).
cnf(refute_0_6661,plain,
( or(t2,xor(t2,or(b,and(t1,t2)))) != xor(t2,xor(t2,or(b,and(t1,t2))))
| or(t2,xor(t2,or(b,and(t1,t2)))) = or(b,and(t1,t2)) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t2,or(b,and(t1,t2)))),or(b,and(t1,t2))) )],[refute_0_6659,refute_0_6660]) ).
cnf(refute_0_6662,plain,
or(t2,xor(t2,or(b,and(t1,t2)))) = or(b,and(t1,t2)),
inference(resolve,[$cnf( $equal(or(t2,xor(t2,or(b,and(t1,t2)))),xor(t2,xor(t2,or(b,and(t1,t2))))) )],[refute_0_6658,refute_0_6661]) ).
cnf(refute_0_6663,plain,
or(b,and(t1,t2)) = or(b,and(t1,t2)),
introduced(tautology,[refl,[$fot(or(b,and(t1,t2)))]]) ).
cnf(refute_0_6664,plain,
( and(t1,t2) != not(a)
| or(b,and(t1,t2)) != or(b,and(t1,t2))
| or(b,and(t1,t2)) = or(b,not(a)) ),
introduced(tautology,[equality,[$cnf( $equal(or(b,and(t1,t2)),or(b,and(t1,t2))) ),[1,1],$fot(not(a))]]) ).
cnf(refute_0_6665,plain,
( and(t1,t2) != not(a)
| or(b,and(t1,t2)) = or(b,not(a)) ),
inference(resolve,[$cnf( $equal(or(b,and(t1,t2)),or(b,and(t1,t2))) )],[refute_0_6663,refute_0_6664]) ).
cnf(refute_0_6666,plain,
or(b,and(t1,t2)) = or(b,not(a)),
inference(resolve,[$cnf( $equal(and(t1,t2),not(a)) )],[refute_0_597,refute_0_6665]) ).
cnf(refute_0_6667,plain,
( or(b,and(t1,t2)) != or(b,not(a))
| or(b,not(a)) != or(b,t2)
| or(b,and(t1,t2)) = or(b,t2) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(b,and(t1,t2)))),bind(Y0,$fot(or(b,not(a)))),bind(Z0,$fot(or(b,t2)))]]) ).
cnf(refute_0_6668,plain,
( or(b,not(a)) != or(b,t2)
| or(b,and(t1,t2)) = or(b,t2) ),
inference(resolve,[$cnf( $equal(or(b,and(t1,t2)),or(b,not(a))) )],[refute_0_6666,refute_0_6667]) ).
cnf(refute_0_6669,plain,
or(b,and(t1,t2)) = or(b,t2),
inference(resolve,[$cnf( $equal(or(b,not(a)),or(b,t2)) )],[refute_0_6474,refute_0_6668]) ).
cnf(refute_0_6670,plain,
xor(t2,or(b,and(t1,t2))) = xor(t2,or(b,and(t1,t2))),
introduced(tautology,[refl,[$fot(xor(t2,or(b,and(t1,t2))))]]) ).
cnf(refute_0_6671,plain,
( or(b,and(t1,t2)) != or(b,t2)
| xor(t2,or(b,and(t1,t2))) != xor(t2,or(b,and(t1,t2)))
| xor(t2,or(b,and(t1,t2))) = xor(t2,or(b,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,or(b,and(t1,t2))),xor(t2,or(b,and(t1,t2)))) ),[1,1],$fot(or(b,t2))]]) ).
cnf(refute_0_6672,plain,
( or(b,and(t1,t2)) != or(b,t2)
| xor(t2,or(b,and(t1,t2))) = xor(t2,or(b,t2)) ),
inference(resolve,[$cnf( $equal(xor(t2,or(b,and(t1,t2))),xor(t2,or(b,and(t1,t2)))) )],[refute_0_6670,refute_0_6671]) ).
cnf(refute_0_6673,plain,
xor(t2,or(b,and(t1,t2))) = xor(t2,or(b,t2)),
inference(resolve,[$cnf( $equal(or(b,and(t1,t2)),or(b,t2)) )],[refute_0_6669,refute_0_6672]) ).
cnf(refute_0_6674,plain,
or(t2,xor(t2,or(b,and(t1,t2)))) = or(t2,xor(t2,or(b,and(t1,t2)))),
introduced(tautology,[refl,[$fot(or(t2,xor(t2,or(b,and(t1,t2)))))]]) ).
cnf(refute_0_6675,plain,
( or(t2,xor(t2,or(b,and(t1,t2)))) != or(t2,xor(t2,or(b,and(t1,t2))))
| xor(t2,or(b,and(t1,t2))) != xor(t2,or(b,t2))
| or(t2,xor(t2,or(b,and(t1,t2)))) = or(t2,xor(t2,or(b,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,xor(t2,or(b,and(t1,t2)))),or(t2,xor(t2,or(b,and(t1,t2))))) ),[1,1],$fot(xor(t2,or(b,t2)))]]) ).
cnf(refute_0_6676,plain,
( xor(t2,or(b,and(t1,t2))) != xor(t2,or(b,t2))
| or(t2,xor(t2,or(b,and(t1,t2)))) = or(t2,xor(t2,or(b,t2))) ),
inference(resolve,[$cnf( $equal(or(t2,xor(t2,or(b,and(t1,t2)))),or(t2,xor(t2,or(b,and(t1,t2))))) )],[refute_0_6674,refute_0_6675]) ).
cnf(refute_0_6677,plain,
or(t2,xor(t2,or(b,and(t1,t2)))) = or(t2,xor(t2,or(b,t2))),
inference(resolve,[$cnf( $equal(xor(t2,or(b,and(t1,t2))),xor(t2,or(b,t2))) )],[refute_0_6673,refute_0_6676]) ).
cnf(refute_0_6678,plain,
( or(t2,xor(t2,or(b,and(t1,t2)))) != or(b,and(t1,t2))
| or(t2,xor(t2,or(b,and(t1,t2)))) != or(t2,xor(t2,or(b,t2)))
| or(t2,xor(t2,or(b,t2))) = or(b,and(t1,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,xor(t2,or(b,and(t1,t2)))),or(b,and(t1,t2))) ),[0],$fot(or(t2,xor(t2,or(b,t2))))]]) ).
cnf(refute_0_6679,plain,
( or(t2,xor(t2,or(b,and(t1,t2)))) != or(b,and(t1,t2))
| or(t2,xor(t2,or(b,t2))) = or(b,and(t1,t2)) ),
inference(resolve,[$cnf( $equal(or(t2,xor(t2,or(b,and(t1,t2)))),or(t2,xor(t2,or(b,t2)))) )],[refute_0_6677,refute_0_6678]) ).
cnf(refute_0_6680,plain,
( or(b,and(t1,t2)) != or(b,t2)
| or(t2,xor(t2,or(b,t2))) != or(b,and(t1,t2))
| or(t2,xor(t2,or(b,t2))) = or(b,t2) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,xor(t2,or(b,t2))),or(b,and(t1,t2))) ),[1],$fot(or(b,t2))]]) ).
cnf(refute_0_6681,plain,
( or(t2,xor(t2,or(b,t2))) != or(b,and(t1,t2))
| or(t2,xor(t2,or(b,t2))) = or(b,t2) ),
inference(resolve,[$cnf( $equal(or(b,and(t1,t2)),or(b,t2)) )],[refute_0_6669,refute_0_6680]) ).
cnf(refute_0_6682,plain,
( or(t2,xor(t2,or(b,and(t1,t2)))) != or(b,and(t1,t2))
| or(t2,xor(t2,or(b,t2))) = or(b,t2) ),
inference(resolve,[$cnf( $equal(or(t2,xor(t2,or(b,t2))),or(b,and(t1,t2))) )],[refute_0_6679,refute_0_6681]) ).
cnf(refute_0_6683,plain,
or(t2,xor(t2,or(b,t2))) = or(b,t2),
inference(resolve,[$cnf( $equal(or(t2,xor(t2,or(b,and(t1,t2)))),or(b,and(t1,t2))) )],[refute_0_6662,refute_0_6682]) ).
cnf(refute_0_6684,plain,
or(t2,ll0) = t2,
inference(subst,[],[or_identity:[bind(X,$fot(t2))]]) ).
cnf(refute_0_6685,plain,
and(or(b,not(and(a,or(b,t2)))),not(or(not(and(a,or(b,t2))),b))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(not(and(a,or(b,t2))))),bind(X_28,$fot(b))]]) ).
cnf(refute_0_6686,plain,
or(not(a),or(b,and(a,not(b)))) = ll1,
inference(subst,[],[refute_0_167:[bind(X_29,$fot(a)),bind(X_30,$fot(b))]]) ).
cnf(refute_0_6687,plain,
( and(a,not(b)) != not(or(b,t2))
| or(not(a),or(b,and(a,not(b)))) != ll1
| or(not(a),or(b,not(or(b,t2)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(not(a),or(b,and(a,not(b)))),ll1) ),[0,1,1],$fot(not(or(b,t2)))]]) ).
cnf(refute_0_6688,plain,
( or(not(a),or(b,and(a,not(b)))) != ll1
| or(not(a),or(b,not(or(b,t2)))) = ll1 ),
inference(resolve,[$cnf( $equal(and(a,not(b)),not(or(b,t2))) )],[refute_0_6459,refute_0_6687]) ).
cnf(refute_0_6689,plain,
or(not(a),or(b,not(or(b,t2)))) = ll1,
inference(resolve,[$cnf( $equal(or(not(a),or(b,and(a,not(b)))),ll1) )],[refute_0_6686,refute_0_6688]) ).
cnf(refute_0_6690,plain,
or(not(a),not(or(b,t2))) = not(and(a,or(b,t2))),
inference(subst,[],[refute_0_147:[bind(X,$fot(a)),bind(Y,$fot(or(b,t2)))]]) ).
cnf(refute_0_6691,plain,
or(b,or(not(a),not(or(b,t2)))) = or(b,or(not(a),not(or(b,t2)))),
introduced(tautology,[refl,[$fot(or(b,or(not(a),not(or(b,t2)))))]]) ).
cnf(refute_0_6692,plain,
( or(b,or(not(a),not(or(b,t2)))) != or(b,or(not(a),not(or(b,t2))))
| or(not(a),not(or(b,t2))) != not(and(a,or(b,t2)))
| or(b,or(not(a),not(or(b,t2)))) = or(b,not(and(a,or(b,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(b,or(not(a),not(or(b,t2)))),or(b,or(not(a),not(or(b,t2))))) ),[1,1],$fot(not(and(a,or(b,t2))))]]) ).
cnf(refute_0_6693,plain,
( or(not(a),not(or(b,t2))) != not(and(a,or(b,t2)))
| or(b,or(not(a),not(or(b,t2)))) = or(b,not(and(a,or(b,t2)))) ),
inference(resolve,[$cnf( $equal(or(b,or(not(a),not(or(b,t2)))),or(b,or(not(a),not(or(b,t2))))) )],[refute_0_6691,refute_0_6692]) ).
cnf(refute_0_6694,plain,
or(b,or(not(a),not(or(b,t2)))) = or(b,not(and(a,or(b,t2)))),
inference(resolve,[$cnf( $equal(or(not(a),not(or(b,t2))),not(and(a,or(b,t2)))) )],[refute_0_6690,refute_0_6693]) ).
cnf(refute_0_6695,plain,
or(not(a),or(b,not(or(b,t2)))) = or(b,or(not(a),not(or(b,t2)))),
inference(subst,[],[refute_0_267:[bind(X_37,$fot(not(a))),bind(X_38,$fot(b)),bind(X_39,$fot(not(or(b,t2))))]]) ).
cnf(refute_0_6696,plain,
( or(b,or(not(a),not(or(b,t2)))) != or(b,not(and(a,or(b,t2))))
| or(not(a),or(b,not(or(b,t2)))) != or(b,or(not(a),not(or(b,t2))))
| or(not(a),or(b,not(or(b,t2)))) = or(b,not(and(a,or(b,t2)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(a),or(b,not(or(b,t2)))))),bind(Y0,$fot(or(b,or(not(a),not(or(b,t2)))))),bind(Z0,$fot(or(b,not(and(a,or(b,t2))))))]]) ).
cnf(refute_0_6697,plain,
( or(b,or(not(a),not(or(b,t2)))) != or(b,not(and(a,or(b,t2))))
| or(not(a),or(b,not(or(b,t2)))) = or(b,not(and(a,or(b,t2)))) ),
inference(resolve,[$cnf( $equal(or(not(a),or(b,not(or(b,t2)))),or(b,or(not(a),not(or(b,t2))))) )],[refute_0_6695,refute_0_6696]) ).
cnf(refute_0_6698,plain,
or(not(a),or(b,not(or(b,t2)))) = or(b,not(and(a,or(b,t2)))),
inference(resolve,[$cnf( $equal(or(b,or(not(a),not(or(b,t2)))),or(b,not(and(a,or(b,t2))))) )],[refute_0_6694,refute_0_6697]) ).
cnf(refute_0_6699,plain,
( or(not(a),or(b,not(or(b,t2)))) != ll1
| or(not(a),or(b,not(or(b,t2)))) != or(b,not(and(a,or(b,t2))))
| or(b,not(and(a,or(b,t2)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(not(a),or(b,not(or(b,t2)))),ll1) ),[0],$fot(or(b,not(and(a,or(b,t2)))))]]) ).
cnf(refute_0_6700,plain,
( or(not(a),or(b,not(or(b,t2)))) != ll1
| or(b,not(and(a,or(b,t2)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(not(a),or(b,not(or(b,t2)))),or(b,not(and(a,or(b,t2))))) )],[refute_0_6698,refute_0_6699]) ).
cnf(refute_0_6701,plain,
or(b,not(and(a,or(b,t2)))) = ll1,
inference(resolve,[$cnf( $equal(or(not(a),or(b,not(or(b,t2)))),ll1) )],[refute_0_6689,refute_0_6700]) ).
cnf(refute_0_6702,plain,
( and(or(b,not(and(a,or(b,t2)))),not(or(not(and(a,or(b,t2))),b))) != ll0
| or(b,not(and(a,or(b,t2)))) != ll1
| and(ll1,not(or(not(and(a,or(b,t2))),b))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(b,not(and(a,or(b,t2)))),not(or(not(and(a,or(b,t2))),b))),ll0) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_6703,plain,
( and(or(b,not(and(a,or(b,t2)))),not(or(not(and(a,or(b,t2))),b))) != ll0
| and(ll1,not(or(not(and(a,or(b,t2))),b))) = ll0 ),
inference(resolve,[$cnf( $equal(or(b,not(and(a,or(b,t2)))),ll1) )],[refute_0_6701,refute_0_6702]) ).
cnf(refute_0_6704,plain,
and(ll1,not(or(not(and(a,or(b,t2))),b))) = ll0,
inference(resolve,[$cnf( $equal(and(or(b,not(and(a,or(b,t2)))),not(or(not(and(a,or(b,t2))),b))),ll0) )],[refute_0_6685,refute_0_6703]) ).
cnf(refute_0_6705,plain,
and(not(b),and(a,or(b,t2))) = and(a,and(not(b),or(b,t2))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(b))),bind(X_221,$fot(a)),bind(X_222,$fot(or(b,t2)))]]) ).
cnf(refute_0_6706,plain,
not(or(b,not(and(a,or(b,t2))))) = and(not(b),and(a,or(b,t2))),
inference(subst,[],[refute_0_801:[bind(X,$fot(and(a,or(b,t2)))),bind(X_25,$fot(b))]]) ).
cnf(refute_0_6707,plain,
( and(not(b),and(a,or(b,t2))) != and(a,and(not(b),or(b,t2)))
| not(or(b,not(and(a,or(b,t2))))) != and(not(b),and(a,or(b,t2)))
| not(or(b,not(and(a,or(b,t2))))) = and(a,and(not(b),or(b,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(b,not(and(a,or(b,t2))))))),bind(Y0,$fot(and(not(b),and(a,or(b,t2))))),bind(Z0,$fot(and(a,and(not(b),or(b,t2)))))]]) ).
cnf(refute_0_6708,plain,
( and(not(b),and(a,or(b,t2))) != and(a,and(not(b),or(b,t2)))
| not(or(b,not(and(a,or(b,t2))))) = and(a,and(not(b),or(b,t2))) ),
inference(resolve,[$cnf( $equal(not(or(b,not(and(a,or(b,t2))))),and(not(b),and(a,or(b,t2)))) )],[refute_0_6706,refute_0_6707]) ).
cnf(refute_0_6709,plain,
not(or(b,not(and(a,or(b,t2))))) = and(a,and(not(b),or(b,t2))),
inference(resolve,[$cnf( $equal(and(not(b),and(a,or(b,t2))),and(a,and(not(b),or(b,t2)))) )],[refute_0_6705,refute_0_6708]) ).
cnf(refute_0_6710,plain,
and(ll1,not(or(b,not(and(a,or(b,t2)))))) = not(or(b,not(and(a,or(b,t2))))),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(or(b,not(and(a,or(b,t2)))))))]]) ).
cnf(refute_0_6711,plain,
( and(ll1,not(or(b,not(and(a,or(b,t2)))))) != not(or(b,not(and(a,or(b,t2)))))
| not(or(b,not(and(a,or(b,t2))))) != and(a,and(not(b),or(b,t2)))
| and(ll1,not(or(b,not(and(a,or(b,t2)))))) = and(a,and(not(b),or(b,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(b,not(and(a,or(b,t2)))))))),bind(Y0,$fot(not(or(b,not(and(a,or(b,t2))))))),bind(Z0,$fot(and(a,and(not(b),or(b,t2)))))]]) ).
cnf(refute_0_6712,plain,
( not(or(b,not(and(a,or(b,t2))))) != and(a,and(not(b),or(b,t2)))
| and(ll1,not(or(b,not(and(a,or(b,t2)))))) = and(a,and(not(b),or(b,t2))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(b,not(and(a,or(b,t2)))))),not(or(b,not(and(a,or(b,t2)))))) )],[refute_0_6710,refute_0_6711]) ).
cnf(refute_0_6713,plain,
and(ll1,not(or(b,not(and(a,or(b,t2)))))) = and(a,and(not(b),or(b,t2))),
inference(resolve,[$cnf( $equal(not(or(b,not(and(a,or(b,t2))))),and(a,and(not(b),or(b,t2)))) )],[refute_0_6709,refute_0_6712]) ).
cnf(refute_0_6714,plain,
and(ll1,not(or(not(and(a,or(b,t2))),b))) = and(ll1,not(or(b,not(and(a,or(b,t2)))))),
inference(subst,[],[refute_0_815:[bind(X_25,$fot(b)),bind(X_26,$fot(not(and(a,or(b,t2))))),bind(X_29,$fot(ll1))]]) ).
cnf(refute_0_6715,plain,
( and(ll1,not(or(b,not(and(a,or(b,t2)))))) != and(a,and(not(b),or(b,t2)))
| and(ll1,not(or(not(and(a,or(b,t2))),b))) != and(ll1,not(or(b,not(and(a,or(b,t2))))))
| and(ll1,not(or(not(and(a,or(b,t2))),b))) = and(a,and(not(b),or(b,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(and(a,or(b,t2))),b))))),bind(Y0,$fot(and(ll1,not(or(b,not(and(a,or(b,t2)))))))),bind(Z0,$fot(and(a,and(not(b),or(b,t2)))))]]) ).
cnf(refute_0_6716,plain,
( and(ll1,not(or(b,not(and(a,or(b,t2)))))) != and(a,and(not(b),or(b,t2)))
| and(ll1,not(or(not(and(a,or(b,t2))),b))) = and(a,and(not(b),or(b,t2))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(and(a,or(b,t2))),b))),and(ll1,not(or(b,not(and(a,or(b,t2))))))) )],[refute_0_6714,refute_0_6715]) ).
cnf(refute_0_6717,plain,
and(ll1,not(or(not(and(a,or(b,t2))),b))) = and(a,and(not(b),or(b,t2))),
inference(resolve,[$cnf( $equal(and(ll1,not(or(b,not(and(a,or(b,t2)))))),and(a,and(not(b),or(b,t2)))) )],[refute_0_6713,refute_0_6716]) ).
cnf(refute_0_6718,plain,
( and(ll1,not(or(not(and(a,or(b,t2))),b))) != and(a,and(not(b),or(b,t2)))
| and(ll1,not(or(not(and(a,or(b,t2))),b))) != ll0
| and(a,and(not(b),or(b,t2))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(ll1,not(or(not(and(a,or(b,t2))),b))),ll0) ),[0],$fot(and(a,and(not(b),or(b,t2))))]]) ).
cnf(refute_0_6719,plain,
( and(ll1,not(or(not(and(a,or(b,t2))),b))) != ll0
| and(a,and(not(b),or(b,t2))) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(and(a,or(b,t2))),b))),and(a,and(not(b),or(b,t2)))) )],[refute_0_6717,refute_0_6718]) ).
cnf(refute_0_6720,plain,
and(a,and(not(b),or(b,t2))) = ll0,
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(and(a,or(b,t2))),b))),ll0) )],[refute_0_6704,refute_0_6719]) ).
cnf(refute_0_6721,plain,
or(and(t2,not(or(X_248,t2))),and(not(t2),or(X_248,t2))) = xor(t2,or(X_248,t2)),
inference(subst,[],[refute_0_9:[bind(X,$fot(t2)),bind(Y,$fot(or(X_248,t2)))]]) ).
cnf(refute_0_6722,plain,
and(and(t1,and(a,t2)),X_222) = and(t1,and(and(a,t2),X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(t1)),bind(Y,$fot(and(a,t2))),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_6723,plain,
and(a,and(t1,t2)) = and(and(t1,t2),a),
inference(subst,[],[and_commutative:[bind(X,$fot(a)),bind(Y,$fot(and(t1,t2)))]]) ).
cnf(refute_0_6724,plain,
and(and(a,t1),not(and(a,t1))) = ll0,
inference(subst,[],[and_complement:[bind(X,$fot(and(a,t1)))]]) ).
cnf(refute_0_6725,plain,
( and(and(a,t1),not(and(a,t1))) != ll0
| not(and(a,t1)) != t2
| and(and(a,t1),t2) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(a,t1),not(and(a,t1))),ll0) ),[0,1],$fot(t2)]]) ).
cnf(refute_0_6726,plain,
( and(and(a,t1),not(and(a,t1))) != ll0
| and(and(a,t1),t2) = ll0 ),
inference(resolve,[$cnf( $equal(not(and(a,t1)),t2) )],[t2,refute_0_6725]) ).
cnf(refute_0_6727,plain,
and(and(a,t1),t2) = ll0,
inference(resolve,[$cnf( $equal(and(and(a,t1),not(and(a,t1))),ll0) )],[refute_0_6724,refute_0_6726]) ).
cnf(refute_0_6728,plain,
and(and(a,t1),t2) = and(a,and(t1,t2)),
inference(subst,[],[and_associative:[bind(X,$fot(a)),bind(Y,$fot(t1)),bind(Z,$fot(t2))]]) ).
cnf(refute_0_6729,plain,
( and(and(a,t1),t2) != and(a,and(t1,t2))
| and(and(a,t1),t2) != ll0
| and(a,and(t1,t2)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(a,t1),t2),ll0) ),[0],$fot(and(a,and(t1,t2)))]]) ).
cnf(refute_0_6730,plain,
( and(and(a,t1),t2) != ll0
| and(a,and(t1,t2)) = ll0 ),
inference(resolve,[$cnf( $equal(and(and(a,t1),t2),and(a,and(t1,t2))) )],[refute_0_6728,refute_0_6729]) ).
cnf(refute_0_6731,plain,
and(a,and(t1,t2)) = ll0,
inference(resolve,[$cnf( $equal(and(and(a,t1),t2),ll0) )],[refute_0_6727,refute_0_6730]) ).
cnf(refute_0_6732,plain,
( and(a,and(t1,t2)) != and(and(t1,t2),a)
| and(a,and(t1,t2)) != ll0
| ll0 = and(and(t1,t2),a) ),
introduced(tautology,[equality,[$cnf( $equal(and(a,and(t1,t2)),and(and(t1,t2),a)) ),[0],$fot(ll0)]]) ).
cnf(refute_0_6733,plain,
( and(a,and(t1,t2)) != and(and(t1,t2),a)
| ll0 = and(and(t1,t2),a) ),
inference(resolve,[$cnf( $equal(and(a,and(t1,t2)),ll0) )],[refute_0_6731,refute_0_6732]) ).
cnf(refute_0_6734,plain,
ll0 = and(and(t1,t2),a),
inference(resolve,[$cnf( $equal(and(a,and(t1,t2)),and(and(t1,t2),a)) )],[refute_0_6723,refute_0_6733]) ).
cnf(refute_0_6735,plain,
and(t2,a) = and(a,t2),
inference(subst,[],[refute_0_116:[bind(X,$fot(a)),bind(Y,$fot(t2))]]) ).
cnf(refute_0_6736,plain,
and(t1,and(t2,a)) = and(t1,and(t2,a)),
introduced(tautology,[refl,[$fot(and(t1,and(t2,a)))]]) ).
cnf(refute_0_6737,plain,
( and(t1,and(t2,a)) != and(t1,and(t2,a))
| and(t2,a) != and(a,t2)
| and(t1,and(t2,a)) = and(t1,and(a,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,and(t2,a)),and(t1,and(t2,a))) ),[1,1],$fot(and(a,t2))]]) ).
cnf(refute_0_6738,plain,
( and(t2,a) != and(a,t2)
| and(t1,and(t2,a)) = and(t1,and(a,t2)) ),
inference(resolve,[$cnf( $equal(and(t1,and(t2,a)),and(t1,and(t2,a))) )],[refute_0_6736,refute_0_6737]) ).
cnf(refute_0_6739,plain,
and(t1,and(t2,a)) = and(t1,and(a,t2)),
inference(resolve,[$cnf( $equal(and(t2,a),and(a,t2)) )],[refute_0_6735,refute_0_6738]) ).
cnf(refute_0_6740,plain,
and(and(t1,t2),a) = and(t1,and(t2,a)),
inference(subst,[],[and_associative:[bind(X,$fot(t1)),bind(Y,$fot(t2)),bind(Z,$fot(a))]]) ).
cnf(refute_0_6741,plain,
( and(and(t1,t2),a) != and(t1,and(t2,a))
| and(t1,and(t2,a)) != and(t1,and(a,t2))
| and(and(t1,t2),a) = and(t1,and(a,t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(t1,t2),a))),bind(Y0,$fot(and(t1,and(t2,a)))),bind(Z0,$fot(and(t1,and(a,t2))))]]) ).
cnf(refute_0_6742,plain,
( and(t1,and(t2,a)) != and(t1,and(a,t2))
| and(and(t1,t2),a) = and(t1,and(a,t2)) ),
inference(resolve,[$cnf( $equal(and(and(t1,t2),a),and(t1,and(t2,a))) )],[refute_0_6740,refute_0_6741]) ).
cnf(refute_0_6743,plain,
and(and(t1,t2),a) = and(t1,and(a,t2)),
inference(resolve,[$cnf( $equal(and(t1,and(t2,a)),and(t1,and(a,t2))) )],[refute_0_6739,refute_0_6742]) ).
cnf(refute_0_6744,plain,
( and(and(t1,t2),a) != and(t1,and(a,t2))
| ll0 != and(and(t1,t2),a)
| ll0 = and(t1,and(a,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(and(t1,t2),a)) ),[1],$fot(and(t1,and(a,t2)))]]) ).
cnf(refute_0_6745,plain,
( ll0 != and(and(t1,t2),a)
| ll0 = and(t1,and(a,t2)) ),
inference(resolve,[$cnf( $equal(and(and(t1,t2),a),and(t1,and(a,t2))) )],[refute_0_6743,refute_0_6744]) ).
cnf(refute_0_6746,plain,
ll0 = and(t1,and(a,t2)),
inference(resolve,[$cnf( $equal(ll0,and(and(t1,t2),a)) )],[refute_0_6734,refute_0_6745]) ).
cnf(refute_0_6747,plain,
( ll0 != and(t1,and(a,t2))
| and(t1,and(a,t2)) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(t1,and(a,t2))))]]) ).
cnf(refute_0_6748,plain,
and(t1,and(a,t2)) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(t1,and(a,t2))) )],[refute_0_6746,refute_0_6747]) ).
cnf(refute_0_6749,plain,
( and(and(t1,and(a,t2)),X_222) != and(t1,and(and(a,t2),X_222))
| and(t1,and(a,t2)) != ll0
| and(ll0,X_222) = and(t1,and(and(a,t2),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t1,and(a,t2)),X_222),and(t1,and(and(a,t2),X_222))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_6750,plain,
( and(and(t1,and(a,t2)),X_222) != and(t1,and(and(a,t2),X_222))
| and(ll0,X_222) = and(t1,and(and(a,t2),X_222)) ),
inference(resolve,[$cnf( $equal(and(t1,and(a,t2)),ll0) )],[refute_0_6748,refute_0_6749]) ).
cnf(refute_0_6751,plain,
and(ll0,X_222) = and(t1,and(and(a,t2),X_222)),
inference(resolve,[$cnf( $equal(and(and(t1,and(a,t2)),X_222),and(t1,and(and(a,t2),X_222))) )],[refute_0_6722,refute_0_6750]) ).
cnf(refute_0_6752,plain,
( and(ll0,X_222) != and(t1,and(and(a,t2),X_222))
| and(ll0,X_222) != ll0
| ll0 = and(t1,and(and(a,t2),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(ll0,X_222),and(t1,and(and(a,t2),X_222))) ),[0],$fot(ll0)]]) ).
cnf(refute_0_6753,plain,
( and(ll0,X_222) != and(t1,and(and(a,t2),X_222))
| ll0 = and(t1,and(and(a,t2),X_222)) ),
inference(resolve,[$cnf( $equal(and(ll0,X_222),ll0) )],[refute_0_873,refute_0_6752]) ).
cnf(refute_0_6754,plain,
and(not(t2),and(t2,X_222)) = and(t2,and(X_222,not(t2))),
inference(subst,[],[refute_0_880:[bind(X,$fot(not(t2))),bind(X_220,$fot(t2)),bind(X_221,$fot(X_222))]]) ).
cnf(refute_0_6755,plain,
( and(not(t2),X_222) != and(a,and(t1,X_222))
| and(a,and(t1,X_222)) = and(not(t2),X_222) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t2),X_222))),bind(Y0,$fot(and(a,and(t1,X_222))))]]) ).
cnf(refute_0_6756,plain,
and(a,and(t1,X_222)) = and(not(t2),X_222),
inference(resolve,[$cnf( $equal(and(not(t2),X_222),and(a,and(t1,X_222))) )],[refute_0_1927,refute_0_6755]) ).
cnf(refute_0_6757,plain,
and(a,and(t1,and(t2,X_222))) = and(not(t2),and(t2,X_222)),
inference(subst,[],[refute_0_6756:[bind(X_222,$fot(and(t2,X_222)))]]) ).
cnf(refute_0_6758,plain,
( and(a,and(t1,and(t2,X_222))) != and(not(t2),and(t2,X_222))
| and(not(t2),and(t2,X_222)) != and(t2,and(X_222,not(t2)))
| and(a,and(t1,and(t2,X_222))) = and(t2,and(X_222,not(t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(a,and(t1,and(t2,X_222))))),bind(Y0,$fot(and(not(t2),and(t2,X_222)))),bind(Z0,$fot(and(t2,and(X_222,not(t2)))))]]) ).
cnf(refute_0_6759,plain,
( and(not(t2),and(t2,X_222)) != and(t2,and(X_222,not(t2)))
| and(a,and(t1,and(t2,X_222))) = and(t2,and(X_222,not(t2))) ),
inference(resolve,[$cnf( $equal(and(a,and(t1,and(t2,X_222))),and(not(t2),and(t2,X_222))) )],[refute_0_6757,refute_0_6758]) ).
cnf(refute_0_6760,plain,
and(a,and(t1,and(t2,X_222))) = and(t2,and(X_222,not(t2))),
inference(resolve,[$cnf( $equal(and(not(t2),and(t2,X_222)),and(t2,and(X_222,not(t2)))) )],[refute_0_6754,refute_0_6759]) ).
cnf(refute_0_6761,plain,
and(t2,and(X_222,t1)) = and(t1,and(t2,X_222)),
inference(subst,[],[refute_0_889:[bind(X,$fot(t1)),bind(X_220,$fot(t2)),bind(X_221,$fot(X_222))]]) ).
cnf(refute_0_6762,plain,
and(and(t2,X_222),t1) = and(t2,and(X_222,t1)),
inference(subst,[],[and_associative:[bind(X,$fot(t2)),bind(Y,$fot(X_222)),bind(Z,$fot(t1))]]) ).
cnf(refute_0_6763,plain,
( and(and(t2,X_222),t1) != and(t2,and(X_222,t1))
| and(t2,and(X_222,t1)) != and(t1,and(t2,X_222))
| and(and(t2,X_222),t1) = and(t1,and(t2,X_222)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(t2,X_222),t1))),bind(Y0,$fot(and(t2,and(X_222,t1)))),bind(Z0,$fot(and(t1,and(t2,X_222))))]]) ).
cnf(refute_0_6764,plain,
( and(t2,and(X_222,t1)) != and(t1,and(t2,X_222))
| and(and(t2,X_222),t1) = and(t1,and(t2,X_222)) ),
inference(resolve,[$cnf( $equal(and(and(t2,X_222),t1),and(t2,and(X_222,t1))) )],[refute_0_6762,refute_0_6763]) ).
cnf(refute_0_6765,plain,
and(and(t2,X_222),t1) = and(t1,and(t2,X_222)),
inference(resolve,[$cnf( $equal(and(t2,and(X_222,t1)),and(t1,and(t2,X_222))) )],[refute_0_6761,refute_0_6764]) ).
cnf(refute_0_6766,plain,
and(a,and(and(t2,X_222),t1)) = and(a,and(and(t2,X_222),t1)),
introduced(tautology,[refl,[$fot(and(a,and(and(t2,X_222),t1)))]]) ).
cnf(refute_0_6767,plain,
( and(a,and(and(t2,X_222),t1)) != and(a,and(and(t2,X_222),t1))
| and(and(t2,X_222),t1) != and(t1,and(t2,X_222))
| and(a,and(and(t2,X_222),t1)) = and(a,and(t1,and(t2,X_222))) ),
introduced(tautology,[equality,[$cnf( $equal(and(a,and(and(t2,X_222),t1)),and(a,and(and(t2,X_222),t1))) ),[1,1],$fot(and(t1,and(t2,X_222)))]]) ).
cnf(refute_0_6768,plain,
( and(and(t2,X_222),t1) != and(t1,and(t2,X_222))
| and(a,and(and(t2,X_222),t1)) = and(a,and(t1,and(t2,X_222))) ),
inference(resolve,[$cnf( $equal(and(a,and(and(t2,X_222),t1)),and(a,and(and(t2,X_222),t1))) )],[refute_0_6766,refute_0_6767]) ).
cnf(refute_0_6769,plain,
and(a,and(and(t2,X_222),t1)) = and(a,and(t1,and(t2,X_222))),
inference(resolve,[$cnf( $equal(and(and(t2,X_222),t1),and(t1,and(t2,X_222))) )],[refute_0_6765,refute_0_6768]) ).
cnf(refute_0_6770,plain,
( and(a,and(and(t2,X_222),t1)) != and(a,and(t1,and(t2,X_222)))
| and(a,and(t1,and(t2,X_222))) != and(t2,and(X_222,not(t2)))
| and(a,and(and(t2,X_222),t1)) = and(t2,and(X_222,not(t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(a,and(and(t2,X_222),t1)))),bind(Y0,$fot(and(a,and(t1,and(t2,X_222))))),bind(Z0,$fot(and(t2,and(X_222,not(t2)))))]]) ).
cnf(refute_0_6771,plain,
( and(a,and(t1,and(t2,X_222))) != and(t2,and(X_222,not(t2)))
| and(a,and(and(t2,X_222),t1)) = and(t2,and(X_222,not(t2))) ),
inference(resolve,[$cnf( $equal(and(a,and(and(t2,X_222),t1)),and(a,and(t1,and(t2,X_222)))) )],[refute_0_6769,refute_0_6770]) ).
cnf(refute_0_6772,plain,
and(a,and(and(t2,X_222),t1)) = and(t2,and(X_222,not(t2))),
inference(resolve,[$cnf( $equal(and(a,and(t1,and(t2,X_222))),and(t2,and(X_222,not(t2)))) )],[refute_0_6760,refute_0_6771]) ).
cnf(refute_0_6773,plain,
and(t1,and(a,and(t2,X_222))) = and(a,and(and(t2,X_222),t1)),
inference(subst,[],[refute_0_880:[bind(X,$fot(t1)),bind(X_220,$fot(a)),bind(X_221,$fot(and(t2,X_222)))]]) ).
cnf(refute_0_6774,plain,
( and(a,and(and(t2,X_222),t1)) != and(t2,and(X_222,not(t2)))
| and(t1,and(a,and(t2,X_222))) != and(a,and(and(t2,X_222),t1))
| and(t1,and(a,and(t2,X_222))) = and(t2,and(X_222,not(t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t1,and(a,and(t2,X_222))))),bind(Y0,$fot(and(a,and(and(t2,X_222),t1)))),bind(Z0,$fot(and(t2,and(X_222,not(t2)))))]]) ).
cnf(refute_0_6775,plain,
( and(a,and(and(t2,X_222),t1)) != and(t2,and(X_222,not(t2)))
| and(t1,and(a,and(t2,X_222))) = and(t2,and(X_222,not(t2))) ),
inference(resolve,[$cnf( $equal(and(t1,and(a,and(t2,X_222))),and(a,and(and(t2,X_222),t1))) )],[refute_0_6773,refute_0_6774]) ).
cnf(refute_0_6776,plain,
and(t1,and(a,and(t2,X_222))) = and(t2,and(X_222,not(t2))),
inference(resolve,[$cnf( $equal(and(a,and(and(t2,X_222),t1)),and(t2,and(X_222,not(t2)))) )],[refute_0_6772,refute_0_6775]) ).
cnf(refute_0_6777,plain,
and(and(a,t2),X_222) = and(a,and(t2,X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(a)),bind(Y,$fot(t2)),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_6778,plain,
and(t1,and(and(a,t2),X_222)) = and(t1,and(and(a,t2),X_222)),
introduced(tautology,[refl,[$fot(and(t1,and(and(a,t2),X_222)))]]) ).
cnf(refute_0_6779,plain,
( and(and(a,t2),X_222) != and(a,and(t2,X_222))
| and(t1,and(and(a,t2),X_222)) != and(t1,and(and(a,t2),X_222))
| and(t1,and(and(a,t2),X_222)) = and(t1,and(a,and(t2,X_222))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,and(and(a,t2),X_222)),and(t1,and(and(a,t2),X_222))) ),[1,1],$fot(and(a,and(t2,X_222)))]]) ).
cnf(refute_0_6780,plain,
( and(and(a,t2),X_222) != and(a,and(t2,X_222))
| and(t1,and(and(a,t2),X_222)) = and(t1,and(a,and(t2,X_222))) ),
inference(resolve,[$cnf( $equal(and(t1,and(and(a,t2),X_222)),and(t1,and(and(a,t2),X_222))) )],[refute_0_6778,refute_0_6779]) ).
cnf(refute_0_6781,plain,
and(t1,and(and(a,t2),X_222)) = and(t1,and(a,and(t2,X_222))),
inference(resolve,[$cnf( $equal(and(and(a,t2),X_222),and(a,and(t2,X_222))) )],[refute_0_6777,refute_0_6780]) ).
cnf(refute_0_6782,plain,
( and(t1,and(a,and(t2,X_222))) != and(t2,and(X_222,not(t2)))
| and(t1,and(and(a,t2),X_222)) != and(t1,and(a,and(t2,X_222)))
| and(t1,and(and(a,t2),X_222)) = and(t2,and(X_222,not(t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t1,and(and(a,t2),X_222)))),bind(Y0,$fot(and(t1,and(a,and(t2,X_222))))),bind(Z0,$fot(and(t2,and(X_222,not(t2)))))]]) ).
cnf(refute_0_6783,plain,
( and(t1,and(a,and(t2,X_222))) != and(t2,and(X_222,not(t2)))
| and(t1,and(and(a,t2),X_222)) = and(t2,and(X_222,not(t2))) ),
inference(resolve,[$cnf( $equal(and(t1,and(and(a,t2),X_222)),and(t1,and(a,and(t2,X_222)))) )],[refute_0_6781,refute_0_6782]) ).
cnf(refute_0_6784,plain,
and(t1,and(and(a,t2),X_222)) = and(t2,and(X_222,not(t2))),
inference(resolve,[$cnf( $equal(and(t1,and(a,and(t2,X_222))),and(t2,and(X_222,not(t2)))) )],[refute_0_6776,refute_0_6783]) ).
cnf(refute_0_6785,plain,
( and(t1,and(and(a,t2),X_222)) != and(t2,and(X_222,not(t2)))
| ll0 != and(t1,and(and(a,t2),X_222))
| ll0 = and(t2,and(X_222,not(t2))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(t1,and(and(a,t2),X_222))) ),[1],$fot(and(t2,and(X_222,not(t2))))]]) ).
cnf(refute_0_6786,plain,
( ll0 != and(t1,and(and(a,t2),X_222))
| ll0 = and(t2,and(X_222,not(t2))) ),
inference(resolve,[$cnf( $equal(and(t1,and(and(a,t2),X_222)),and(t2,and(X_222,not(t2)))) )],[refute_0_6784,refute_0_6785]) ).
cnf(refute_0_6787,plain,
( and(ll0,X_222) != and(t1,and(and(a,t2),X_222))
| ll0 = and(t2,and(X_222,not(t2))) ),
inference(resolve,[$cnf( $equal(ll0,and(t1,and(and(a,t2),X_222))) )],[refute_0_6753,refute_0_6786]) ).
cnf(refute_0_6788,plain,
ll0 = and(t2,and(X_222,not(t2))),
inference(resolve,[$cnf( $equal(and(ll0,X_222),and(t1,and(and(a,t2),X_222))) )],[refute_0_6751,refute_0_6787]) ).
cnf(refute_0_6789,plain,
ll0 = and(t2,and(not(X),not(t2))),
inference(subst,[],[refute_0_6788:[bind(X_222,$fot(not(X)))]]) ).
cnf(refute_0_6790,plain,
not(or(X,t2)) = and(not(X),not(t2)),
inference(subst,[],[or_demorgan:[bind(Y,$fot(t2))]]) ).
cnf(refute_0_6791,plain,
( not(or(X,t2)) != and(not(X),not(t2))
| and(not(X),not(t2)) = not(or(X,t2)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X,t2)))),bind(Y0,$fot(and(not(X),not(t2))))]]) ).
cnf(refute_0_6792,plain,
and(not(X),not(t2)) = not(or(X,t2)),
inference(resolve,[$cnf( $equal(not(or(X,t2)),and(not(X),not(t2))) )],[refute_0_6790,refute_0_6791]) ).
cnf(refute_0_6793,plain,
( and(not(X),not(t2)) != not(or(X,t2))
| ll0 != and(t2,and(not(X),not(t2)))
| ll0 = and(t2,not(or(X,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(t2,and(not(X),not(t2)))) ),[1,1],$fot(not(or(X,t2)))]]) ).
cnf(refute_0_6794,plain,
( ll0 != and(t2,and(not(X),not(t2)))
| ll0 = and(t2,not(or(X,t2))) ),
inference(resolve,[$cnf( $equal(and(not(X),not(t2)),not(or(X,t2))) )],[refute_0_6792,refute_0_6793]) ).
cnf(refute_0_6795,plain,
ll0 = and(t2,not(or(X,t2))),
inference(resolve,[$cnf( $equal(ll0,and(t2,and(not(X),not(t2)))) )],[refute_0_6789,refute_0_6794]) ).
cnf(refute_0_6796,plain,
ll0 = and(t2,not(or(X_248,t2))),
inference(subst,[],[refute_0_6795:[bind(X,$fot(X_248))]]) ).
cnf(refute_0_6797,plain,
( ll0 != and(t2,not(or(X_248,t2)))
| and(t2,not(or(X_248,t2))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(t2,not(or(X_248,t2)))))]]) ).
cnf(refute_0_6798,plain,
and(t2,not(or(X_248,t2))) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(t2,not(or(X_248,t2)))) )],[refute_0_6796,refute_0_6797]) ).
cnf(refute_0_6799,plain,
( and(t2,not(or(X_248,t2))) != ll0
| or(and(t2,not(or(X_248,t2))),and(not(t2),or(X_248,t2))) != xor(t2,or(X_248,t2))
| or(ll0,and(not(t2),or(X_248,t2))) = xor(t2,or(X_248,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t2,not(or(X_248,t2))),and(not(t2),or(X_248,t2))),xor(t2,or(X_248,t2))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_6800,plain,
( or(and(t2,not(or(X_248,t2))),and(not(t2),or(X_248,t2))) != xor(t2,or(X_248,t2))
| or(ll0,and(not(t2),or(X_248,t2))) = xor(t2,or(X_248,t2)) ),
inference(resolve,[$cnf( $equal(and(t2,not(or(X_248,t2))),ll0) )],[refute_0_6798,refute_0_6799]) ).
cnf(refute_0_6801,plain,
or(ll0,and(not(t2),or(X_248,t2))) = xor(t2,or(X_248,t2)),
inference(resolve,[$cnf( $equal(or(and(t2,not(or(X_248,t2))),and(not(t2),or(X_248,t2))),xor(t2,or(X_248,t2))) )],[refute_0_6721,refute_0_6800]) ).
cnf(refute_0_6802,plain,
or(ll0,and(not(t2),or(X_248,t2))) = and(not(t2),or(X_248,t2)),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(t2),or(X_248,t2))))]]) ).
cnf(refute_0_6803,plain,
( or(ll0,and(not(t2),or(X_248,t2))) != and(not(t2),or(X_248,t2))
| or(ll0,and(not(t2),or(X_248,t2))) != xor(t2,or(X_248,t2))
| and(not(t2),or(X_248,t2)) = xor(t2,or(X_248,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(t2),or(X_248,t2))),xor(t2,or(X_248,t2))) ),[0],$fot(and(not(t2),or(X_248,t2)))]]) ).
cnf(refute_0_6804,plain,
( or(ll0,and(not(t2),or(X_248,t2))) != xor(t2,or(X_248,t2))
| and(not(t2),or(X_248,t2)) = xor(t2,or(X_248,t2)) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t2),or(X_248,t2))),and(not(t2),or(X_248,t2))) )],[refute_0_6802,refute_0_6803]) ).
cnf(refute_0_6805,plain,
and(not(t2),or(X_248,t2)) = xor(t2,or(X_248,t2)),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t2),or(X_248,t2))),xor(t2,or(X_248,t2))) )],[refute_0_6801,refute_0_6804]) ).
cnf(refute_0_6806,plain,
and(not(t2),or(b,t2)) = xor(t2,or(b,t2)),
inference(subst,[],[refute_0_6805:[bind(X_248,$fot(b))]]) ).
cnf(refute_0_6807,plain,
and(and(a,not(b)),Z) = and(a,and(not(b),Z)),
inference(subst,[],[and_associative:[bind(X,$fot(a)),bind(Y,$fot(not(b)))]]) ).
cnf(refute_0_6808,plain,
( and(a,not(b)) != not(or(b,t2))
| and(and(a,not(b)),Z) != and(a,and(not(b),Z))
| and(not(or(b,t2)),Z) = and(a,and(not(b),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(a,not(b)),Z),and(a,and(not(b),Z))) ),[0,0],$fot(not(or(b,t2)))]]) ).
cnf(refute_0_6809,plain,
( and(and(a,not(b)),Z) != and(a,and(not(b),Z))
| and(not(or(b,t2)),Z) = and(a,and(not(b),Z)) ),
inference(resolve,[$cnf( $equal(and(a,not(b)),not(or(b,t2))) )],[refute_0_6459,refute_0_6808]) ).
cnf(refute_0_6810,plain,
and(not(or(b,t2)),Z) = and(a,and(not(b),Z)),
inference(resolve,[$cnf( $equal(and(and(a,not(b)),Z),and(a,and(not(b),Z))) )],[refute_0_6807,refute_0_6809]) ).
cnf(refute_0_6811,plain,
and(not(t2),t3) = and(a,and(t1,t3)),
inference(subst,[],[refute_0_1927:[bind(X_222,$fot(t3))]]) ).
cnf(refute_0_6812,plain,
( and(not(t2),t3) != and(a,and(t1,t3))
| and(t1,t3) != not(b)
| and(not(t2),t3) = and(a,not(b)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),t3),and(a,and(t1,t3))) ),[1,1],$fot(not(b))]]) ).
cnf(refute_0_6813,plain,
( and(not(t2),t3) != and(a,and(t1,t3))
| and(not(t2),t3) = and(a,not(b)) ),
inference(resolve,[$cnf( $equal(and(t1,t3),not(b)) )],[refute_0_3032,refute_0_6812]) ).
cnf(refute_0_6814,plain,
and(not(t2),t3) = and(a,not(b)),
inference(resolve,[$cnf( $equal(and(not(t2),t3),and(a,and(t1,t3))) )],[refute_0_6811,refute_0_6813]) ).
cnf(refute_0_6815,plain,
and(not(t2),or(t3,not(t2))) = not(t2),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(not(t2))),bind(X_20,$fot(t3))]]) ).
cnf(refute_0_6816,plain,
or(or(a,not(t2)),X_39) = or(a,or(not(t2),X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(a)),bind(Y,$fot(not(t2))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_6817,plain,
( or(a,not(t2)) != a
| or(or(a,not(t2)),X_39) != or(a,or(not(t2),X_39))
| or(a,X_39) = or(a,or(not(t2),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(a,not(t2)),X_39),or(a,or(not(t2),X_39))) ),[0,0],$fot(a)]]) ).
cnf(refute_0_6818,plain,
( or(or(a,not(t2)),X_39) != or(a,or(not(t2),X_39))
| or(a,X_39) = or(a,or(not(t2),X_39)) ),
inference(resolve,[$cnf( $equal(or(a,not(t2)),a) )],[refute_0_287,refute_0_6817]) ).
cnf(refute_0_6819,plain,
or(a,X_39) = or(a,or(not(t2),X_39)),
inference(resolve,[$cnf( $equal(or(or(a,not(t2)),X_39),or(a,or(not(t2),X_39))) )],[refute_0_6816,refute_0_6818]) ).
cnf(refute_0_6820,plain,
or(a,t3) = or(a,or(not(t2),t3)),
inference(subst,[],[refute_0_6819:[bind(X_39,$fot(t3))]]) ).
cnf(refute_0_6821,plain,
or(t3,and(t3,or(a,t4))) = t3,
inference(subst,[],[or_absorption:[bind(X,$fot(t3)),bind(Y,$fot(or(a,t4)))]]) ).
cnf(refute_0_6822,plain,
xor(xor(a,t3),t3) = xor(t3,xor(a,t3)),
inference(subst,[],[xor_commutative:[bind(X,$fot(xor(a,t3))),bind(Y,$fot(t3))]]) ).
cnf(refute_0_6823,plain,
or(and(t3,not(xor(a,t3))),and(not(t3),xor(a,t3))) = xor(t3,xor(a,t3)),
inference(subst,[],[refute_0_9:[bind(X,$fot(t3)),bind(Y,$fot(xor(a,t3)))]]) ).
cnf(refute_0_6824,plain,
and(or(t3,not(xor(t3,and(X_162,a)))),not(or(not(xor(t3,and(X_162,a))),t3))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(not(xor(t3,and(X_162,a))))),bind(X_28,$fot(t3))]]) ).
cnf(refute_0_6825,plain,
ll1 = or(t3,or(not(t3),and(X_161,a))),
inference(subst,[],[refute_0_632:[bind(X_37,$fot(t3)),bind(X_39,$fot(and(X_161,a)))]]) ).
cnf(refute_0_6826,plain,
not(and(t3,not(and(X_73,a)))) = or(not(t3),not(not(and(X_73,a)))),
inference(subst,[],[and_demorgan:[bind(X,$fot(t3)),bind(Y,$fot(not(and(X_73,a))))]]) ).
cnf(refute_0_6827,plain,
( and(t3,not(and(X_73,a))) != xor(t3,and(X_73,a))
| not(and(t3,not(and(X_73,a)))) != or(not(t3),not(not(and(X_73,a))))
| not(xor(t3,and(X_73,a))) = or(not(t3),not(not(and(X_73,a)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(t3,not(and(X_73,a)))),or(not(t3),not(not(and(X_73,a))))) ),[0,0],$fot(xor(t3,and(X_73,a)))]]) ).
cnf(refute_0_6828,plain,
( not(and(t3,not(and(X_73,a)))) != or(not(t3),not(not(and(X_73,a))))
| not(xor(t3,and(X_73,a))) = or(not(t3),not(not(and(X_73,a)))) ),
inference(resolve,[$cnf( $equal(and(t3,not(and(X_73,a))),xor(t3,and(X_73,a))) )],[refute_0_6501,refute_0_6827]) ).
cnf(refute_0_6829,plain,
not(xor(t3,and(X_73,a))) = or(not(t3),not(not(and(X_73,a)))),
inference(resolve,[$cnf( $equal(not(and(t3,not(and(X_73,a)))),or(not(t3),not(not(and(X_73,a))))) )],[refute_0_6826,refute_0_6828]) ).
cnf(refute_0_6830,plain,
not(and(t3,not(and(X_73,a)))) = or(not(t3),and(X_73,a)),
inference(subst,[],[refute_0_435:[bind(X_29,$fot(t3)),bind(X_30,$fot(and(X_73,a)))]]) ).
cnf(refute_0_6831,plain,
or(not(t3),not(not(and(X_73,a)))) = not(and(t3,not(and(X_73,a)))),
inference(subst,[],[refute_0_147:[bind(X,$fot(t3)),bind(Y,$fot(not(and(X_73,a))))]]) ).
cnf(refute_0_6832,plain,
( not(and(t3,not(and(X_73,a)))) != or(not(t3),and(X_73,a))
| or(not(t3),not(not(and(X_73,a)))) != not(and(t3,not(and(X_73,a))))
| or(not(t3),not(not(and(X_73,a)))) = or(not(t3),and(X_73,a)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t3),not(not(and(X_73,a)))))),bind(Y0,$fot(not(and(t3,not(and(X_73,a)))))),bind(Z0,$fot(or(not(t3),and(X_73,a))))]]) ).
cnf(refute_0_6833,plain,
( not(and(t3,not(and(X_73,a)))) != or(not(t3),and(X_73,a))
| or(not(t3),not(not(and(X_73,a)))) = or(not(t3),and(X_73,a)) ),
inference(resolve,[$cnf( $equal(or(not(t3),not(not(and(X_73,a)))),not(and(t3,not(and(X_73,a))))) )],[refute_0_6831,refute_0_6832]) ).
cnf(refute_0_6834,plain,
or(not(t3),not(not(and(X_73,a)))) = or(not(t3),and(X_73,a)),
inference(resolve,[$cnf( $equal(not(and(t3,not(and(X_73,a)))),or(not(t3),and(X_73,a))) )],[refute_0_6830,refute_0_6833]) ).
cnf(refute_0_6835,plain,
( not(xor(t3,and(X_73,a))) != or(not(t3),not(not(and(X_73,a))))
| or(not(t3),not(not(and(X_73,a)))) != or(not(t3),and(X_73,a))
| not(xor(t3,and(X_73,a))) = or(not(t3),and(X_73,a)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(t3,and(X_73,a))),or(not(t3),and(X_73,a))) ),[0],$fot(or(not(t3),not(not(and(X_73,a)))))]]) ).
cnf(refute_0_6836,plain,
( not(xor(t3,and(X_73,a))) != or(not(t3),not(not(and(X_73,a))))
| not(xor(t3,and(X_73,a))) = or(not(t3),and(X_73,a)) ),
inference(resolve,[$cnf( $equal(or(not(t3),not(not(and(X_73,a)))),or(not(t3),and(X_73,a))) )],[refute_0_6834,refute_0_6835]) ).
cnf(refute_0_6837,plain,
not(xor(t3,and(X_73,a))) = or(not(t3),and(X_73,a)),
inference(resolve,[$cnf( $equal(not(xor(t3,and(X_73,a))),or(not(t3),not(not(and(X_73,a))))) )],[refute_0_6829,refute_0_6836]) ).
cnf(refute_0_6838,plain,
not(xor(t3,and(X_161,a))) = or(not(t3),and(X_161,a)),
inference(subst,[],[refute_0_6837:[bind(X_73,$fot(X_161))]]) ).
cnf(refute_0_6839,plain,
( not(xor(t3,and(X_161,a))) != or(not(t3),and(X_161,a))
| or(not(t3),and(X_161,a)) = not(xor(t3,and(X_161,a))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(xor(t3,and(X_161,a))))),bind(Y0,$fot(or(not(t3),and(X_161,a))))]]) ).
cnf(refute_0_6840,plain,
or(not(t3),and(X_161,a)) = not(xor(t3,and(X_161,a))),
inference(resolve,[$cnf( $equal(not(xor(t3,and(X_161,a))),or(not(t3),and(X_161,a))) )],[refute_0_6838,refute_0_6839]) ).
cnf(refute_0_6841,plain,
( ll1 != or(t3,or(not(t3),and(X_161,a)))
| or(not(t3),and(X_161,a)) != not(xor(t3,and(X_161,a)))
| ll1 = or(t3,not(xor(t3,and(X_161,a)))) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t3,or(not(t3),and(X_161,a)))) ),[1,1],$fot(not(xor(t3,and(X_161,a))))]]) ).
cnf(refute_0_6842,plain,
( ll1 != or(t3,or(not(t3),and(X_161,a)))
| ll1 = or(t3,not(xor(t3,and(X_161,a)))) ),
inference(resolve,[$cnf( $equal(or(not(t3),and(X_161,a)),not(xor(t3,and(X_161,a)))) )],[refute_0_6840,refute_0_6841]) ).
cnf(refute_0_6843,plain,
ll1 = or(t3,not(xor(t3,and(X_161,a)))),
inference(resolve,[$cnf( $equal(ll1,or(t3,or(not(t3),and(X_161,a)))) )],[refute_0_6825,refute_0_6842]) ).
cnf(refute_0_6844,plain,
ll1 = or(t3,not(xor(t3,and(X_162,a)))),
inference(subst,[],[refute_0_6843:[bind(X_161,$fot(X_162))]]) ).
cnf(refute_0_6845,plain,
( ll1 != or(t3,not(xor(t3,and(X_162,a))))
| or(t3,not(xor(t3,and(X_162,a)))) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(t3,not(xor(t3,and(X_162,a))))))]]) ).
cnf(refute_0_6846,plain,
or(t3,not(xor(t3,and(X_162,a)))) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(t3,not(xor(t3,and(X_162,a))))) )],[refute_0_6844,refute_0_6845]) ).
cnf(refute_0_6847,plain,
( and(or(t3,not(xor(t3,and(X_162,a)))),not(or(not(xor(t3,and(X_162,a))),t3))) != ll0
| or(t3,not(xor(t3,and(X_162,a)))) != ll1
| and(ll1,not(or(not(xor(t3,and(X_162,a))),t3))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(t3,not(xor(t3,and(X_162,a)))),not(or(not(xor(t3,and(X_162,a))),t3))),ll0) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_6848,plain,
( and(or(t3,not(xor(t3,and(X_162,a)))),not(or(not(xor(t3,and(X_162,a))),t3))) != ll0
| and(ll1,not(or(not(xor(t3,and(X_162,a))),t3))) = ll0 ),
inference(resolve,[$cnf( $equal(or(t3,not(xor(t3,and(X_162,a)))),ll1) )],[refute_0_6846,refute_0_6847]) ).
cnf(refute_0_6849,plain,
and(ll1,not(or(not(xor(t3,and(X_162,a))),t3))) = ll0,
inference(resolve,[$cnf( $equal(and(or(t3,not(xor(t3,and(X_162,a)))),not(or(not(xor(t3,and(X_162,a))),t3))),ll0) )],[refute_0_6824,refute_0_6848]) ).
cnf(refute_0_6850,plain,
not(or(t3,not(xor(t3,and(X_162,a))))) = and(not(t3),xor(t3,and(X_162,a))),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(t3,and(X_162,a)))),bind(X_25,$fot(t3))]]) ).
cnf(refute_0_6851,plain,
and(ll1,not(or(t3,not(xor(t3,and(X_162,a)))))) = not(or(t3,not(xor(t3,and(X_162,a))))),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(or(t3,not(xor(t3,and(X_162,a)))))))]]) ).
cnf(refute_0_6852,plain,
( and(ll1,not(or(t3,not(xor(t3,and(X_162,a)))))) != not(or(t3,not(xor(t3,and(X_162,a)))))
| not(or(t3,not(xor(t3,and(X_162,a))))) != and(not(t3),xor(t3,and(X_162,a)))
| and(ll1,not(or(t3,not(xor(t3,and(X_162,a)))))) = and(not(t3),xor(t3,and(X_162,a))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(t3,not(xor(t3,and(X_162,a)))))))),bind(Y0,$fot(not(or(t3,not(xor(t3,and(X_162,a))))))),bind(Z0,$fot(and(not(t3),xor(t3,and(X_162,a)))))]]) ).
cnf(refute_0_6853,plain,
( not(or(t3,not(xor(t3,and(X_162,a))))) != and(not(t3),xor(t3,and(X_162,a)))
| and(ll1,not(or(t3,not(xor(t3,and(X_162,a)))))) = and(not(t3),xor(t3,and(X_162,a))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t3,not(xor(t3,and(X_162,a)))))),not(or(t3,not(xor(t3,and(X_162,a)))))) )],[refute_0_6851,refute_0_6852]) ).
cnf(refute_0_6854,plain,
and(ll1,not(or(t3,not(xor(t3,and(X_162,a)))))) = and(not(t3),xor(t3,and(X_162,a))),
inference(resolve,[$cnf( $equal(not(or(t3,not(xor(t3,and(X_162,a))))),and(not(t3),xor(t3,and(X_162,a)))) )],[refute_0_6850,refute_0_6853]) ).
cnf(refute_0_6855,plain,
and(ll1,not(or(not(xor(t3,and(X_162,a))),t3))) = and(ll1,not(or(t3,not(xor(t3,and(X_162,a)))))),
inference(subst,[],[refute_0_815:[bind(X_25,$fot(t3)),bind(X_26,$fot(not(xor(t3,and(X_162,a))))),bind(X_29,$fot(ll1))]]) ).
cnf(refute_0_6856,plain,
( and(ll1,not(or(not(xor(t3,and(X_162,a))),t3))) != and(ll1,not(or(t3,not(xor(t3,and(X_162,a))))))
| and(ll1,not(or(t3,not(xor(t3,and(X_162,a)))))) != and(not(t3),xor(t3,and(X_162,a)))
| and(ll1,not(or(not(xor(t3,and(X_162,a))),t3))) = and(not(t3),xor(t3,and(X_162,a))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(xor(t3,and(X_162,a))),t3))))),bind(Y0,$fot(and(ll1,not(or(t3,not(xor(t3,and(X_162,a)))))))),bind(Z0,$fot(and(not(t3),xor(t3,and(X_162,a)))))]]) ).
cnf(refute_0_6857,plain,
( and(ll1,not(or(t3,not(xor(t3,and(X_162,a)))))) != and(not(t3),xor(t3,and(X_162,a)))
| and(ll1,not(or(not(xor(t3,and(X_162,a))),t3))) = and(not(t3),xor(t3,and(X_162,a))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t3,and(X_162,a))),t3))),and(ll1,not(or(t3,not(xor(t3,and(X_162,a))))))) )],[refute_0_6855,refute_0_6856]) ).
cnf(refute_0_6858,plain,
and(ll1,not(or(not(xor(t3,and(X_162,a))),t3))) = and(not(t3),xor(t3,and(X_162,a))),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t3,not(xor(t3,and(X_162,a)))))),and(not(t3),xor(t3,and(X_162,a)))) )],[refute_0_6854,refute_0_6857]) ).
cnf(refute_0_6859,plain,
( and(ll1,not(or(not(xor(t3,and(X_162,a))),t3))) != and(not(t3),xor(t3,and(X_162,a)))
| and(ll1,not(or(not(xor(t3,and(X_162,a))),t3))) != ll0
| and(not(t3),xor(t3,and(X_162,a))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(ll1,not(or(not(xor(t3,and(X_162,a))),t3))),ll0) ),[0],$fot(and(not(t3),xor(t3,and(X_162,a))))]]) ).
cnf(refute_0_6860,plain,
( and(ll1,not(or(not(xor(t3,and(X_162,a))),t3))) != ll0
| and(not(t3),xor(t3,and(X_162,a))) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t3,and(X_162,a))),t3))),and(not(t3),xor(t3,and(X_162,a)))) )],[refute_0_6858,refute_0_6859]) ).
cnf(refute_0_6861,plain,
and(not(t3),xor(t3,and(X_162,a))) = ll0,
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t3,and(X_162,a))),t3))),ll0) )],[refute_0_6849,refute_0_6860]) ).
cnf(refute_0_6862,plain,
and(not(t3),xor(t3,and(ll1,a))) = ll0,
inference(subst,[],[refute_0_6861:[bind(X_162,$fot(ll1))]]) ).
cnf(refute_0_6863,plain,
and(ll1,a) = a,
inference(subst,[],[refute_0_64:[bind(X,$fot(a))]]) ).
cnf(refute_0_6864,plain,
( and(ll1,a) != a
| and(not(t3),xor(t3,and(ll1,a))) != ll0
| and(not(t3),xor(t3,a)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t3),xor(t3,and(ll1,a))),ll0) ),[0,1,1],$fot(a)]]) ).
cnf(refute_0_6865,plain,
( and(not(t3),xor(t3,and(ll1,a))) != ll0
| and(not(t3),xor(t3,a)) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,a),a) )],[refute_0_6863,refute_0_6864]) ).
cnf(refute_0_6866,plain,
and(not(t3),xor(t3,a)) = ll0,
inference(resolve,[$cnf( $equal(and(not(t3),xor(t3,and(ll1,a))),ll0) )],[refute_0_6862,refute_0_6865]) ).
cnf(refute_0_6867,plain,
xor(t3,a) = xor(a,t3),
inference(subst,[],[refute_0_1913:[bind(X,$fot(a)),bind(Y,$fot(t3))]]) ).
cnf(refute_0_6868,plain,
and(not(t3),xor(t3,a)) = and(not(t3),xor(t3,a)),
introduced(tautology,[refl,[$fot(and(not(t3),xor(t3,a)))]]) ).
cnf(refute_0_6869,plain,
( and(not(t3),xor(t3,a)) != and(not(t3),xor(t3,a))
| xor(t3,a) != xor(a,t3)
| and(not(t3),xor(t3,a)) = and(not(t3),xor(a,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t3),xor(t3,a)),and(not(t3),xor(t3,a))) ),[1,1],$fot(xor(a,t3))]]) ).
cnf(refute_0_6870,plain,
( xor(t3,a) != xor(a,t3)
| and(not(t3),xor(t3,a)) = and(not(t3),xor(a,t3)) ),
inference(resolve,[$cnf( $equal(and(not(t3),xor(t3,a)),and(not(t3),xor(t3,a))) )],[refute_0_6868,refute_0_6869]) ).
cnf(refute_0_6871,plain,
and(not(t3),xor(t3,a)) = and(not(t3),xor(a,t3)),
inference(resolve,[$cnf( $equal(xor(t3,a),xor(a,t3)) )],[refute_0_6867,refute_0_6870]) ).
cnf(refute_0_6872,plain,
( and(not(t3),xor(t3,a)) != and(not(t3),xor(a,t3))
| and(not(t3),xor(t3,a)) != ll0
| and(not(t3),xor(a,t3)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t3),xor(t3,a)),ll0) ),[0],$fot(and(not(t3),xor(a,t3)))]]) ).
cnf(refute_0_6873,plain,
( and(not(t3),xor(t3,a)) != ll0
| and(not(t3),xor(a,t3)) = ll0 ),
inference(resolve,[$cnf( $equal(and(not(t3),xor(t3,a)),and(not(t3),xor(a,t3))) )],[refute_0_6871,refute_0_6872]) ).
cnf(refute_0_6874,plain,
and(not(t3),xor(a,t3)) = ll0,
inference(resolve,[$cnf( $equal(and(not(t3),xor(t3,a)),ll0) )],[refute_0_6866,refute_0_6873]) ).
cnf(refute_0_6875,plain,
( and(not(t3),xor(a,t3)) != ll0
| or(and(t3,not(xor(a,t3))),and(not(t3),xor(a,t3))) != xor(t3,xor(a,t3))
| or(and(t3,not(xor(a,t3))),ll0) = xor(t3,xor(a,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t3,not(xor(a,t3))),and(not(t3),xor(a,t3))),xor(t3,xor(a,t3))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_6876,plain,
( or(and(t3,not(xor(a,t3))),and(not(t3),xor(a,t3))) != xor(t3,xor(a,t3))
| or(and(t3,not(xor(a,t3))),ll0) = xor(t3,xor(a,t3)) ),
inference(resolve,[$cnf( $equal(and(not(t3),xor(a,t3)),ll0) )],[refute_0_6874,refute_0_6875]) ).
cnf(refute_0_6877,plain,
or(and(t3,not(xor(a,t3))),ll0) = xor(t3,xor(a,t3)),
inference(resolve,[$cnf( $equal(or(and(t3,not(xor(a,t3))),and(not(t3),xor(a,t3))),xor(t3,xor(a,t3))) )],[refute_0_6823,refute_0_6876]) ).
cnf(refute_0_6878,plain,
or(and(t3,not(xor(a,t3))),ll0) = and(t3,not(xor(a,t3))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t3,not(xor(a,t3)))))]]) ).
cnf(refute_0_6879,plain,
( or(and(t3,not(xor(a,t3))),ll0) != and(t3,not(xor(a,t3)))
| or(and(t3,not(xor(a,t3))),ll0) != xor(t3,xor(a,t3))
| and(t3,not(xor(a,t3))) = xor(t3,xor(a,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t3,not(xor(a,t3))),ll0),xor(t3,xor(a,t3))) ),[0],$fot(and(t3,not(xor(a,t3))))]]) ).
cnf(refute_0_6880,plain,
( or(and(t3,not(xor(a,t3))),ll0) != xor(t3,xor(a,t3))
| and(t3,not(xor(a,t3))) = xor(t3,xor(a,t3)) ),
inference(resolve,[$cnf( $equal(or(and(t3,not(xor(a,t3))),ll0),and(t3,not(xor(a,t3)))) )],[refute_0_6878,refute_0_6879]) ).
cnf(refute_0_6881,plain,
and(t3,not(xor(a,t3))) = xor(t3,xor(a,t3)),
inference(resolve,[$cnf( $equal(or(and(t3,not(xor(a,t3))),ll0),xor(t3,xor(a,t3))) )],[refute_0_6877,refute_0_6880]) ).
cnf(refute_0_6882,plain,
and(t3,not(xor(a,t3))) = and(t3,not(xor(a,t3))),
introduced(tautology,[refl,[$fot(and(t3,not(xor(a,t3))))]]) ).
cnf(refute_0_6883,plain,
( and(t3,not(xor(a,t3))) != and(t3,not(xor(a,t3)))
| not(xor(a,t3)) != or(a,t4)
| and(t3,not(xor(a,t3))) = and(t3,or(a,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,not(xor(a,t3))),and(t3,not(xor(a,t3)))) ),[1,1],$fot(or(a,t4))]]) ).
cnf(refute_0_6884,plain,
( not(xor(a,t3)) != or(a,t4)
| and(t3,not(xor(a,t3))) = and(t3,or(a,t4)) ),
inference(resolve,[$cnf( $equal(and(t3,not(xor(a,t3))),and(t3,not(xor(a,t3)))) )],[refute_0_6882,refute_0_6883]) ).
cnf(refute_0_6885,plain,
and(t3,not(xor(a,t3))) = and(t3,or(a,t4)),
inference(resolve,[$cnf( $equal(not(xor(a,t3)),or(a,t4)) )],[refute_0_3055,refute_0_6884]) ).
cnf(refute_0_6886,plain,
( and(t3,not(xor(a,t3))) != and(t3,or(a,t4))
| and(t3,not(xor(a,t3))) != xor(t3,xor(a,t3))
| and(t3,or(a,t4)) = xor(t3,xor(a,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,not(xor(a,t3))),xor(t3,xor(a,t3))) ),[0],$fot(and(t3,or(a,t4)))]]) ).
cnf(refute_0_6887,plain,
( and(t3,not(xor(a,t3))) != xor(t3,xor(a,t3))
| and(t3,or(a,t4)) = xor(t3,xor(a,t3)) ),
inference(resolve,[$cnf( $equal(and(t3,not(xor(a,t3))),and(t3,or(a,t4))) )],[refute_0_6885,refute_0_6886]) ).
cnf(refute_0_6888,plain,
and(t3,or(a,t4)) = xor(t3,xor(a,t3)),
inference(resolve,[$cnf( $equal(and(t3,not(xor(a,t3))),xor(t3,xor(a,t3))) )],[refute_0_6881,refute_0_6887]) ).
cnf(refute_0_6889,plain,
( and(t3,or(a,t4)) != xor(t3,xor(a,t3))
| xor(t3,xor(a,t3)) = and(t3,or(a,t4)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t3,or(a,t4)))),bind(Y0,$fot(xor(t3,xor(a,t3))))]]) ).
cnf(refute_0_6890,plain,
xor(t3,xor(a,t3)) = and(t3,or(a,t4)),
inference(resolve,[$cnf( $equal(and(t3,or(a,t4)),xor(t3,xor(a,t3))) )],[refute_0_6888,refute_0_6889]) ).
cnf(refute_0_6891,plain,
( xor(t3,xor(a,t3)) != and(t3,or(a,t4))
| xor(xor(a,t3),t3) != xor(t3,xor(a,t3))
| xor(xor(a,t3),t3) = and(t3,or(a,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(xor(a,t3),t3),xor(t3,xor(a,t3))) ),[1],$fot(and(t3,or(a,t4)))]]) ).
cnf(refute_0_6892,plain,
( xor(xor(a,t3),t3) != xor(t3,xor(a,t3))
| xor(xor(a,t3),t3) = and(t3,or(a,t4)) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(a,t3)),and(t3,or(a,t4))) )],[refute_0_6890,refute_0_6891]) ).
cnf(refute_0_6893,plain,
xor(xor(a,t3),t3) = and(t3,or(a,t4)),
inference(resolve,[$cnf( $equal(xor(xor(a,t3),t3),xor(t3,xor(a,t3))) )],[refute_0_6822,refute_0_6892]) ).
cnf(refute_0_6894,plain,
( ll0 != xor(X_63,X_63)
| xor(X_63,X_63) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(xor(X_63,X_63)))]]) ).
cnf(refute_0_6895,plain,
xor(X_63,X_63) = ll0,
inference(resolve,[$cnf( $equal(ll0,xor(X_63,X_63)) )],[refute_0_40,refute_0_6894]) ).
cnf(refute_0_6896,plain,
xor(t3,t3) = ll0,
inference(subst,[],[refute_0_6895:[bind(X_63,$fot(t3))]]) ).
cnf(refute_0_6897,plain,
xor(a,xor(t3,t3)) = xor(a,xor(t3,t3)),
introduced(tautology,[refl,[$fot(xor(a,xor(t3,t3)))]]) ).
cnf(refute_0_6898,plain,
( xor(a,xor(t3,t3)) != xor(a,xor(t3,t3))
| xor(t3,t3) != ll0
| xor(a,xor(t3,t3)) = xor(a,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t3,t3)),xor(a,xor(t3,t3))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_6899,plain,
( xor(t3,t3) != ll0
| xor(a,xor(t3,t3)) = xor(a,ll0) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,t3)),xor(a,xor(t3,t3))) )],[refute_0_6897,refute_0_6898]) ).
cnf(refute_0_6900,plain,
xor(a,xor(t3,t3)) = xor(a,ll0),
inference(resolve,[$cnf( $equal(xor(t3,t3),ll0) )],[refute_0_6896,refute_0_6899]) ).
cnf(refute_0_6901,plain,
( xor(a,ll0) != a
| xor(a,xor(t3,t3)) != xor(a,ll0)
| xor(a,xor(t3,t3)) = a ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(a,xor(t3,t3)))),bind(Y0,$fot(xor(a,ll0))),bind(Z0,$fot(a))]]) ).
cnf(refute_0_6902,plain,
( xor(a,ll0) != a
| xor(a,xor(t3,t3)) = a ),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,t3)),xor(a,ll0)) )],[refute_0_6900,refute_0_6901]) ).
cnf(refute_0_6903,plain,
xor(a,xor(t3,t3)) = a,
inference(resolve,[$cnf( $equal(xor(a,ll0),a) )],[refute_0_2665,refute_0_6902]) ).
cnf(refute_0_6904,plain,
xor(xor(a,t3),t3) = xor(a,xor(t3,t3)),
inference(subst,[],[refute_0_526:[bind(X,$fot(a)),bind(Y,$fot(t3)),bind(Z,$fot(t3))]]) ).
cnf(refute_0_6905,plain,
( xor(a,xor(t3,t3)) != a
| xor(xor(a,t3),t3) != xor(a,xor(t3,t3))
| xor(xor(a,t3),t3) = a ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(a,t3),t3))),bind(Y0,$fot(xor(a,xor(t3,t3)))),bind(Z0,$fot(a))]]) ).
cnf(refute_0_6906,plain,
( xor(a,xor(t3,t3)) != a
| xor(xor(a,t3),t3) = a ),
inference(resolve,[$cnf( $equal(xor(xor(a,t3),t3),xor(a,xor(t3,t3))) )],[refute_0_6904,refute_0_6905]) ).
cnf(refute_0_6907,plain,
xor(xor(a,t3),t3) = a,
inference(resolve,[$cnf( $equal(xor(a,xor(t3,t3)),a) )],[refute_0_6903,refute_0_6906]) ).
cnf(refute_0_6908,plain,
( xor(xor(a,t3),t3) != a
| xor(xor(a,t3),t3) != and(t3,or(a,t4))
| a = and(t3,or(a,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(xor(a,t3),t3),and(t3,or(a,t4))) ),[0],$fot(a)]]) ).
cnf(refute_0_6909,plain,
( xor(xor(a,t3),t3) != and(t3,or(a,t4))
| a = and(t3,or(a,t4)) ),
inference(resolve,[$cnf( $equal(xor(xor(a,t3),t3),a) )],[refute_0_6907,refute_0_6908]) ).
cnf(refute_0_6910,plain,
a = and(t3,or(a,t4)),
inference(resolve,[$cnf( $equal(xor(xor(a,t3),t3),and(t3,or(a,t4))) )],[refute_0_6893,refute_0_6909]) ).
cnf(refute_0_6911,plain,
( a != and(t3,or(a,t4))
| and(t3,or(a,t4)) = a ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(a)),bind(Y0,$fot(and(t3,or(a,t4))))]]) ).
cnf(refute_0_6912,plain,
and(t3,or(a,t4)) = a,
inference(resolve,[$cnf( $equal(a,and(t3,or(a,t4))) )],[refute_0_6910,refute_0_6911]) ).
cnf(refute_0_6913,plain,
( and(t3,or(a,t4)) != a
| or(t3,and(t3,or(a,t4))) != t3
| or(t3,a) = t3 ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,and(t3,or(a,t4))),t3) ),[0,1],$fot(a)]]) ).
cnf(refute_0_6914,plain,
( or(t3,and(t3,or(a,t4))) != t3
| or(t3,a) = t3 ),
inference(resolve,[$cnf( $equal(and(t3,or(a,t4)),a) )],[refute_0_6912,refute_0_6913]) ).
cnf(refute_0_6915,plain,
or(t3,a) = t3,
inference(resolve,[$cnf( $equal(or(t3,and(t3,or(a,t4))),t3) )],[refute_0_6821,refute_0_6914]) ).
cnf(refute_0_6916,plain,
or(t3,a) = or(a,t3),
inference(subst,[],[refute_0_5:[bind(X,$fot(a)),bind(Y,$fot(t3))]]) ).
cnf(refute_0_6917,plain,
( or(t3,a) != or(a,t3)
| or(t3,a) != t3
| or(a,t3) = t3 ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,a),t3) ),[0],$fot(or(a,t3))]]) ).
cnf(refute_0_6918,plain,
( or(t3,a) != t3
| or(a,t3) = t3 ),
inference(resolve,[$cnf( $equal(or(t3,a),or(a,t3)) )],[refute_0_6916,refute_0_6917]) ).
cnf(refute_0_6919,plain,
or(a,t3) = t3,
inference(resolve,[$cnf( $equal(or(t3,a),t3) )],[refute_0_6915,refute_0_6918]) ).
cnf(refute_0_6920,plain,
( or(a,t3) != or(a,or(not(t2),t3))
| or(a,t3) != t3
| t3 = or(a,or(not(t2),t3)) ),
introduced(tautology,[equality,[$cnf( $equal(or(a,t3),or(a,or(not(t2),t3))) ),[0],$fot(t3)]]) ).
cnf(refute_0_6921,plain,
( or(a,t3) != or(a,or(not(t2),t3))
| t3 = or(a,or(not(t2),t3)) ),
inference(resolve,[$cnf( $equal(or(a,t3),t3) )],[refute_0_6919,refute_0_6920]) ).
cnf(refute_0_6922,plain,
t3 = or(a,or(not(t2),t3)),
inference(resolve,[$cnf( $equal(or(a,t3),or(a,or(not(t2),t3))) )],[refute_0_6820,refute_0_6921]) ).
cnf(refute_0_6923,plain,
or(or(a,t3),Z) = or(a,or(t3,Z)),
inference(subst,[],[or_associative:[bind(X,$fot(a)),bind(Y,$fot(t3))]]) ).
cnf(refute_0_6924,plain,
( or(a,t3) != t3
| or(or(a,t3),Z) != or(a,or(t3,Z))
| or(t3,Z) = or(a,or(t3,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(a,t3),Z),or(a,or(t3,Z))) ),[0,0],$fot(t3)]]) ).
cnf(refute_0_6925,plain,
( or(or(a,t3),Z) != or(a,or(t3,Z))
| or(t3,Z) = or(a,or(t3,Z)) ),
inference(resolve,[$cnf( $equal(or(a,t3),t3) )],[refute_0_6919,refute_0_6924]) ).
cnf(refute_0_6926,plain,
or(t3,Z) = or(a,or(t3,Z)),
inference(resolve,[$cnf( $equal(or(or(a,t3),Z),or(a,or(t3,Z))) )],[refute_0_6923,refute_0_6925]) ).
cnf(refute_0_6927,plain,
( or(t3,Z) != or(a,or(t3,Z))
| or(a,or(t3,Z)) = or(t3,Z) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(t3,Z))),bind(Y0,$fot(or(a,or(t3,Z))))]]) ).
cnf(refute_0_6928,plain,
or(a,or(t3,Z)) = or(t3,Z),
inference(resolve,[$cnf( $equal(or(t3,Z),or(a,or(t3,Z))) )],[refute_0_6926,refute_0_6927]) ).
cnf(refute_0_6929,plain,
or(a,or(t3,not(t2))) = or(t3,not(t2)),
inference(subst,[],[refute_0_6928:[bind(Z,$fot(not(t2)))]]) ).
cnf(refute_0_6930,plain,
or(a,or(not(t2),t3)) = or(a,or(t3,not(t2))),
inference(subst,[],[refute_0_3788:[bind(X_37,$fot(a)),bind(X_38,$fot(t3)),bind(X_39,$fot(not(t2)))]]) ).
cnf(refute_0_6931,plain,
( or(a,or(not(t2),t3)) != or(a,or(t3,not(t2)))
| or(a,or(t3,not(t2))) != or(t3,not(t2))
| or(a,or(not(t2),t3)) = or(t3,not(t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(a,or(not(t2),t3)))),bind(Y0,$fot(or(a,or(t3,not(t2))))),bind(Z0,$fot(or(t3,not(t2))))]]) ).
cnf(refute_0_6932,plain,
( or(a,or(t3,not(t2))) != or(t3,not(t2))
| or(a,or(not(t2),t3)) = or(t3,not(t2)) ),
inference(resolve,[$cnf( $equal(or(a,or(not(t2),t3)),or(a,or(t3,not(t2)))) )],[refute_0_6930,refute_0_6931]) ).
cnf(refute_0_6933,plain,
or(a,or(not(t2),t3)) = or(t3,not(t2)),
inference(resolve,[$cnf( $equal(or(a,or(t3,not(t2))),or(t3,not(t2))) )],[refute_0_6929,refute_0_6932]) ).
cnf(refute_0_6934,plain,
( or(a,or(not(t2),t3)) != or(t3,not(t2))
| t3 != or(a,or(not(t2),t3))
| t3 = or(t3,not(t2)) ),
introduced(tautology,[equality,[$cnf( $equal(t3,or(a,or(not(t2),t3))) ),[1],$fot(or(t3,not(t2)))]]) ).
cnf(refute_0_6935,plain,
( t3 != or(a,or(not(t2),t3))
| t3 = or(t3,not(t2)) ),
inference(resolve,[$cnf( $equal(or(a,or(not(t2),t3)),or(t3,not(t2))) )],[refute_0_6933,refute_0_6934]) ).
cnf(refute_0_6936,plain,
t3 = or(t3,not(t2)),
inference(resolve,[$cnf( $equal(t3,or(a,or(not(t2),t3))) )],[refute_0_6922,refute_0_6935]) ).
cnf(refute_0_6937,plain,
( t3 != or(t3,not(t2))
| or(t3,not(t2)) = t3 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(t3)),bind(Y0,$fot(or(t3,not(t2))))]]) ).
cnf(refute_0_6938,plain,
or(t3,not(t2)) = t3,
inference(resolve,[$cnf( $equal(t3,or(t3,not(t2))) )],[refute_0_6936,refute_0_6937]) ).
cnf(refute_0_6939,plain,
( and(not(t2),or(t3,not(t2))) != not(t2)
| or(t3,not(t2)) != t3
| and(not(t2),t3) = not(t2) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),or(t3,not(t2))),not(t2)) ),[0,1],$fot(t3)]]) ).
cnf(refute_0_6940,plain,
( and(not(t2),or(t3,not(t2))) != not(t2)
| and(not(t2),t3) = not(t2) ),
inference(resolve,[$cnf( $equal(or(t3,not(t2)),t3) )],[refute_0_6938,refute_0_6939]) ).
cnf(refute_0_6941,plain,
and(not(t2),t3) = not(t2),
inference(resolve,[$cnf( $equal(and(not(t2),or(t3,not(t2))),not(t2)) )],[refute_0_6815,refute_0_6940]) ).
cnf(refute_0_6942,plain,
( and(not(t2),t3) != and(a,not(b))
| and(not(t2),t3) != not(t2)
| not(t2) = and(a,not(b)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),t3),and(a,not(b))) ),[0],$fot(not(t2))]]) ).
cnf(refute_0_6943,plain,
( and(not(t2),t3) != and(a,not(b))
| not(t2) = and(a,not(b)) ),
inference(resolve,[$cnf( $equal(and(not(t2),t3),not(t2)) )],[refute_0_6941,refute_0_6942]) ).
cnf(refute_0_6944,plain,
( and(a,not(b)) != not(or(b,t2))
| not(t2) != and(a,not(b))
| not(t2) = not(or(b,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(t2),and(a,not(b))) ),[1],$fot(not(or(b,t2)))]]) ).
cnf(refute_0_6945,plain,
( not(t2) != and(a,not(b))
| not(t2) = not(or(b,t2)) ),
inference(resolve,[$cnf( $equal(and(a,not(b)),not(or(b,t2))) )],[refute_0_6459,refute_0_6944]) ).
cnf(refute_0_6946,plain,
( and(not(t2),t3) != and(a,not(b))
| not(t2) = not(or(b,t2)) ),
inference(resolve,[$cnf( $equal(not(t2),and(a,not(b))) )],[refute_0_6943,refute_0_6945]) ).
cnf(refute_0_6947,plain,
not(t2) = not(or(b,t2)),
inference(resolve,[$cnf( $equal(and(not(t2),t3),and(a,not(b))) )],[refute_0_6814,refute_0_6946]) ).
cnf(refute_0_6948,plain,
( not(t2) != not(or(b,t2))
| not(or(b,t2)) = not(t2) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t2))),bind(Y0,$fot(not(or(b,t2))))]]) ).
cnf(refute_0_6949,plain,
not(or(b,t2)) = not(t2),
inference(resolve,[$cnf( $equal(not(t2),not(or(b,t2))) )],[refute_0_6947,refute_0_6948]) ).
cnf(refute_0_6950,plain,
and(not(or(b,t2)),Z) = and(not(or(b,t2)),Z),
introduced(tautology,[refl,[$fot(and(not(or(b,t2)),Z))]]) ).
cnf(refute_0_6951,plain,
( and(not(or(b,t2)),Z) != and(not(or(b,t2)),Z)
| not(or(b,t2)) != not(t2)
| and(not(or(b,t2)),Z) = and(not(t2),Z) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(or(b,t2)),Z),and(not(or(b,t2)),Z)) ),[1,0],$fot(not(t2))]]) ).
cnf(refute_0_6952,plain,
( not(or(b,t2)) != not(t2)
| and(not(or(b,t2)),Z) = and(not(t2),Z) ),
inference(resolve,[$cnf( $equal(and(not(or(b,t2)),Z),and(not(or(b,t2)),Z)) )],[refute_0_6950,refute_0_6951]) ).
cnf(refute_0_6953,plain,
and(not(or(b,t2)),Z) = and(not(t2),Z),
inference(resolve,[$cnf( $equal(not(or(b,t2)),not(t2)) )],[refute_0_6949,refute_0_6952]) ).
cnf(refute_0_6954,plain,
( and(not(or(b,t2)),Z) != and(a,and(not(b),Z))
| and(not(or(b,t2)),Z) != and(not(t2),Z)
| and(not(t2),Z) = and(a,and(not(b),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(or(b,t2)),Z),and(a,and(not(b),Z))) ),[0],$fot(and(not(t2),Z))]]) ).
cnf(refute_0_6955,plain,
( and(not(or(b,t2)),Z) != and(a,and(not(b),Z))
| and(not(t2),Z) = and(a,and(not(b),Z)) ),
inference(resolve,[$cnf( $equal(and(not(or(b,t2)),Z),and(not(t2),Z)) )],[refute_0_6953,refute_0_6954]) ).
cnf(refute_0_6956,plain,
and(not(t2),Z) = and(a,and(not(b),Z)),
inference(resolve,[$cnf( $equal(and(not(or(b,t2)),Z),and(a,and(not(b),Z))) )],[refute_0_6810,refute_0_6955]) ).
cnf(refute_0_6957,plain,
( and(not(t2),Z) != and(a,and(not(b),Z))
| and(a,and(not(b),Z)) = and(not(t2),Z) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t2),Z))),bind(Y0,$fot(and(a,and(not(b),Z))))]]) ).
cnf(refute_0_6958,plain,
and(a,and(not(b),Z)) = and(not(t2),Z),
inference(resolve,[$cnf( $equal(and(not(t2),Z),and(a,and(not(b),Z))) )],[refute_0_6956,refute_0_6957]) ).
cnf(refute_0_6959,plain,
and(a,and(not(b),or(b,t2))) = and(not(t2),or(b,t2)),
inference(subst,[],[refute_0_6958:[bind(Z,$fot(or(b,t2)))]]) ).
cnf(refute_0_6960,plain,
( and(a,and(not(b),or(b,t2))) != and(not(t2),or(b,t2))
| and(not(t2),or(b,t2)) != xor(t2,or(b,t2))
| and(a,and(not(b),or(b,t2))) = xor(t2,or(b,t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(a,and(not(b),or(b,t2))))),bind(Y0,$fot(and(not(t2),or(b,t2)))),bind(Z0,$fot(xor(t2,or(b,t2))))]]) ).
cnf(refute_0_6961,plain,
( and(not(t2),or(b,t2)) != xor(t2,or(b,t2))
| and(a,and(not(b),or(b,t2))) = xor(t2,or(b,t2)) ),
inference(resolve,[$cnf( $equal(and(a,and(not(b),or(b,t2))),and(not(t2),or(b,t2))) )],[refute_0_6959,refute_0_6960]) ).
cnf(refute_0_6962,plain,
and(a,and(not(b),or(b,t2))) = xor(t2,or(b,t2)),
inference(resolve,[$cnf( $equal(and(not(t2),or(b,t2)),xor(t2,or(b,t2))) )],[refute_0_6806,refute_0_6961]) ).
cnf(refute_0_6963,plain,
( and(a,and(not(b),or(b,t2))) != ll0
| and(a,and(not(b),or(b,t2))) != xor(t2,or(b,t2))
| xor(t2,or(b,t2)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(a,and(not(b),or(b,t2))),ll0) ),[0],$fot(xor(t2,or(b,t2)))]]) ).
cnf(refute_0_6964,plain,
( and(a,and(not(b),or(b,t2))) != ll0
| xor(t2,or(b,t2)) = ll0 ),
inference(resolve,[$cnf( $equal(and(a,and(not(b),or(b,t2))),xor(t2,or(b,t2))) )],[refute_0_6962,refute_0_6963]) ).
cnf(refute_0_6965,plain,
xor(t2,or(b,t2)) = ll0,
inference(resolve,[$cnf( $equal(and(a,and(not(b),or(b,t2))),ll0) )],[refute_0_6720,refute_0_6964]) ).
cnf(refute_0_6966,plain,
or(t2,xor(t2,or(b,t2))) = or(t2,xor(t2,or(b,t2))),
introduced(tautology,[refl,[$fot(or(t2,xor(t2,or(b,t2))))]]) ).
cnf(refute_0_6967,plain,
( or(t2,xor(t2,or(b,t2))) != or(t2,xor(t2,or(b,t2)))
| xor(t2,or(b,t2)) != ll0
| or(t2,xor(t2,or(b,t2))) = or(t2,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,xor(t2,or(b,t2))),or(t2,xor(t2,or(b,t2)))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_6968,plain,
( xor(t2,or(b,t2)) != ll0
| or(t2,xor(t2,or(b,t2))) = or(t2,ll0) ),
inference(resolve,[$cnf( $equal(or(t2,xor(t2,or(b,t2))),or(t2,xor(t2,or(b,t2)))) )],[refute_0_6966,refute_0_6967]) ).
cnf(refute_0_6969,plain,
or(t2,xor(t2,or(b,t2))) = or(t2,ll0),
inference(resolve,[$cnf( $equal(xor(t2,or(b,t2)),ll0) )],[refute_0_6965,refute_0_6968]) ).
cnf(refute_0_6970,plain,
( or(t2,ll0) != t2
| or(t2,xor(t2,or(b,t2))) != or(t2,ll0)
| or(t2,xor(t2,or(b,t2))) = t2 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t2,xor(t2,or(b,t2))))),bind(Y0,$fot(or(t2,ll0))),bind(Z0,$fot(t2))]]) ).
cnf(refute_0_6971,plain,
( or(t2,ll0) != t2
| or(t2,xor(t2,or(b,t2))) = t2 ),
inference(resolve,[$cnf( $equal(or(t2,xor(t2,or(b,t2))),or(t2,ll0)) )],[refute_0_6969,refute_0_6970]) ).
cnf(refute_0_6972,plain,
or(t2,xor(t2,or(b,t2))) = t2,
inference(resolve,[$cnf( $equal(or(t2,ll0),t2) )],[refute_0_6684,refute_0_6971]) ).
cnf(refute_0_6973,plain,
( or(t2,xor(t2,or(b,t2))) != or(b,t2)
| or(t2,xor(t2,or(b,t2))) != t2
| t2 = or(b,t2) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,xor(t2,or(b,t2))),or(b,t2)) ),[0],$fot(t2)]]) ).
cnf(refute_0_6974,plain,
( or(t2,xor(t2,or(b,t2))) != or(b,t2)
| t2 = or(b,t2) ),
inference(resolve,[$cnf( $equal(or(t2,xor(t2,or(b,t2))),t2) )],[refute_0_6972,refute_0_6973]) ).
cnf(refute_0_6975,plain,
t2 = or(b,t2),
inference(resolve,[$cnf( $equal(or(t2,xor(t2,or(b,t2))),or(b,t2)) )],[refute_0_6683,refute_0_6974]) ).
cnf(refute_0_6976,plain,
( t2 != or(b,t2)
| or(b,t2) = t2 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(t2)),bind(Y0,$fot(or(b,t2)))]]) ).
cnf(refute_0_6977,plain,
or(b,t2) = t2,
inference(resolve,[$cnf( $equal(t2,or(b,t2)) )],[refute_0_6975,refute_0_6976]) ).
cnf(refute_0_6978,plain,
xor(t3,or(b,t2)) = xor(t3,or(b,t2)),
introduced(tautology,[refl,[$fot(xor(t3,or(b,t2)))]]) ).
cnf(refute_0_6979,plain,
( or(b,t2) != t2
| xor(t3,or(b,t2)) != xor(t3,or(b,t2))
| xor(t3,or(b,t2)) = xor(t3,t2) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,or(b,t2)),xor(t3,or(b,t2))) ),[1,1],$fot(t2)]]) ).
cnf(refute_0_6980,plain,
( or(b,t2) != t2
| xor(t3,or(b,t2)) = xor(t3,t2) ),
inference(resolve,[$cnf( $equal(xor(t3,or(b,t2)),xor(t3,or(b,t2))) )],[refute_0_6978,refute_0_6979]) ).
cnf(refute_0_6981,plain,
xor(t3,or(b,t2)) = xor(t3,t2),
inference(resolve,[$cnf( $equal(or(b,t2),t2) )],[refute_0_6977,refute_0_6980]) ).
cnf(refute_0_6982,plain,
( xor(t3,or(b,t2)) != xor(t3,t2)
| xor(t3,t2) != t4
| xor(t3,or(b,t2)) = t4 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t3,or(b,t2)))),bind(Y0,$fot(xor(t3,t2))),bind(Z0,$fot(t4))]]) ).
cnf(refute_0_6983,plain,
( xor(t3,t2) != t4
| xor(t3,or(b,t2)) = t4 ),
inference(resolve,[$cnf( $equal(xor(t3,or(b,t2)),xor(t3,t2)) )],[refute_0_6981,refute_0_6982]) ).
cnf(refute_0_6984,plain,
xor(t3,or(b,t2)) = t4,
inference(resolve,[$cnf( $equal(xor(t3,t2),t4) )],[refute_0_5942,refute_0_6983]) ).
cnf(refute_0_6985,plain,
or(X,xor(t3,or(b,t2))) = or(X,xor(t3,or(b,t2))),
introduced(tautology,[refl,[$fot(or(X,xor(t3,or(b,t2))))]]) ).
cnf(refute_0_6986,plain,
( or(X,xor(t3,or(b,t2))) != or(X,xor(t3,or(b,t2)))
| xor(t3,or(b,t2)) != t4
| or(X,xor(t3,or(b,t2))) = or(X,t4) ),
introduced(tautology,[equality,[$cnf( $equal(or(X,xor(t3,or(b,t2))),or(X,xor(t3,or(b,t2)))) ),[1,1],$fot(t4)]]) ).
cnf(refute_0_6987,plain,
( xor(t3,or(b,t2)) != t4
| or(X,xor(t3,or(b,t2))) = or(X,t4) ),
inference(resolve,[$cnf( $equal(or(X,xor(t3,or(b,t2))),or(X,xor(t3,or(b,t2)))) )],[refute_0_6985,refute_0_6986]) ).
cnf(refute_0_6988,plain,
or(X,xor(t3,or(b,t2))) = or(X,t4),
inference(resolve,[$cnf( $equal(xor(t3,or(b,t2)),t4) )],[refute_0_6984,refute_0_6987]) ).
cnf(refute_0_6989,plain,
not(or(X,xor(t3,or(b,t2)))) = not(or(X,xor(t3,or(b,t2)))),
introduced(tautology,[refl,[$fot(not(or(X,xor(t3,or(b,t2)))))]]) ).
cnf(refute_0_6990,plain,
( not(or(X,xor(t3,or(b,t2)))) != not(or(X,xor(t3,or(b,t2))))
| or(X,xor(t3,or(b,t2))) != or(X,t4)
| not(or(X,xor(t3,or(b,t2)))) = not(or(X,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t3,or(b,t2)))),not(or(X,xor(t3,or(b,t2))))) ),[1,0],$fot(or(X,t4))]]) ).
cnf(refute_0_6991,plain,
( or(X,xor(t3,or(b,t2))) != or(X,t4)
| not(or(X,xor(t3,or(b,t2)))) = not(or(X,t4)) ),
inference(resolve,[$cnf( $equal(not(or(X,xor(t3,or(b,t2)))),not(or(X,xor(t3,or(b,t2))))) )],[refute_0_6989,refute_0_6990]) ).
cnf(refute_0_6992,plain,
not(or(X,xor(t3,or(b,t2)))) = not(or(X,t4)),
inference(resolve,[$cnf( $equal(or(X,xor(t3,or(b,t2))),or(X,t4)) )],[refute_0_6988,refute_0_6991]) ).
cnf(refute_0_6993,plain,
( not(or(X,xor(t3,or(b,t2)))) != and(t3,and(not(X),or(b,t2)))
| not(or(X,xor(t3,or(b,t2)))) != not(or(X,t4))
| not(or(X,t4)) = and(t3,and(not(X),or(b,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t3,or(b,t2)))),and(t3,and(not(X),or(b,t2)))) ),[0],$fot(not(or(X,t4)))]]) ).
cnf(refute_0_6994,plain,
( not(or(X,xor(t3,or(b,t2)))) != and(t3,and(not(X),or(b,t2)))
| not(or(X,t4)) = and(t3,and(not(X),or(b,t2))) ),
inference(resolve,[$cnf( $equal(not(or(X,xor(t3,or(b,t2)))),not(or(X,t4))) )],[refute_0_6992,refute_0_6993]) ).
cnf(refute_0_6995,plain,
and(not(t4),not(X)) = not(or(t4,X)),
inference(subst,[],[refute_0_101:[bind(X,$fot(t4)),bind(Y,$fot(X))]]) ).
cnf(refute_0_6996,plain,
and(t2,and(t3,not(X))) = and(not(t4),not(X)),
inference(subst,[],[refute_0_883:[bind(X_222,$fot(not(X)))]]) ).
cnf(refute_0_6997,plain,
( and(not(t4),not(X)) != not(or(t4,X))
| and(t2,and(t3,not(X))) != and(not(t4),not(X))
| and(t2,and(t3,not(X))) = not(or(t4,X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t2,and(t3,not(X))))),bind(Y0,$fot(and(not(t4),not(X)))),bind(Z0,$fot(not(or(t4,X))))]]) ).
cnf(refute_0_6998,plain,
( and(not(t4),not(X)) != not(or(t4,X))
| and(t2,and(t3,not(X))) = not(or(t4,X)) ),
inference(resolve,[$cnf( $equal(and(t2,and(t3,not(X))),and(not(t4),not(X))) )],[refute_0_6996,refute_0_6997]) ).
cnf(refute_0_6999,plain,
and(t2,and(t3,not(X))) = not(or(t4,X)),
inference(resolve,[$cnf( $equal(and(not(t4),not(X)),not(or(t4,X))) )],[refute_0_6995,refute_0_6998]) ).
cnf(refute_0_7000,plain,
and(t3,and(t2,not(X))) = and(t2,and(t3,not(X))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(t3)),bind(X_221,$fot(t2)),bind(X_222,$fot(not(X)))]]) ).
cnf(refute_0_7001,plain,
( and(t2,and(t3,not(X))) != not(or(t4,X))
| and(t3,and(t2,not(X))) != and(t2,and(t3,not(X)))
| and(t3,and(t2,not(X))) = not(or(t4,X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t3,and(t2,not(X))))),bind(Y0,$fot(and(t2,and(t3,not(X))))),bind(Z0,$fot(not(or(t4,X))))]]) ).
cnf(refute_0_7002,plain,
( and(t2,and(t3,not(X))) != not(or(t4,X))
| and(t3,and(t2,not(X))) = not(or(t4,X)) ),
inference(resolve,[$cnf( $equal(and(t3,and(t2,not(X))),and(t2,and(t3,not(X)))) )],[refute_0_7000,refute_0_7001]) ).
cnf(refute_0_7003,plain,
and(t3,and(t2,not(X))) = not(or(t4,X)),
inference(resolve,[$cnf( $equal(and(t2,and(t3,not(X))),not(or(t4,X))) )],[refute_0_6999,refute_0_7002]) ).
cnf(refute_0_7004,plain,
and(not(X),t2) = and(t2,not(X)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t2)),bind(Y,$fot(not(X)))]]) ).
cnf(refute_0_7005,plain,
and(not(X),or(b,t2)) = and(not(X),or(b,t2)),
introduced(tautology,[refl,[$fot(and(not(X),or(b,t2)))]]) ).
cnf(refute_0_7006,plain,
( and(not(X),or(b,t2)) != and(not(X),or(b,t2))
| or(b,t2) != t2
| and(not(X),or(b,t2)) = and(not(X),t2) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(X),or(b,t2)),and(not(X),or(b,t2))) ),[1,1],$fot(t2)]]) ).
cnf(refute_0_7007,plain,
( or(b,t2) != t2
| and(not(X),or(b,t2)) = and(not(X),t2) ),
inference(resolve,[$cnf( $equal(and(not(X),or(b,t2)),and(not(X),or(b,t2))) )],[refute_0_7005,refute_0_7006]) ).
cnf(refute_0_7008,plain,
and(not(X),or(b,t2)) = and(not(X),t2),
inference(resolve,[$cnf( $equal(or(b,t2),t2) )],[refute_0_6977,refute_0_7007]) ).
cnf(refute_0_7009,plain,
( and(not(X),or(b,t2)) != and(not(X),t2)
| and(not(X),t2) != and(t2,not(X))
| and(not(X),or(b,t2)) = and(t2,not(X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(X),or(b,t2)))),bind(Y0,$fot(and(not(X),t2))),bind(Z0,$fot(and(t2,not(X))))]]) ).
cnf(refute_0_7010,plain,
( and(not(X),t2) != and(t2,not(X))
| and(not(X),or(b,t2)) = and(t2,not(X)) ),
inference(resolve,[$cnf( $equal(and(not(X),or(b,t2)),and(not(X),t2)) )],[refute_0_7008,refute_0_7009]) ).
cnf(refute_0_7011,plain,
and(not(X),or(b,t2)) = and(t2,not(X)),
inference(resolve,[$cnf( $equal(and(not(X),t2),and(t2,not(X))) )],[refute_0_7004,refute_0_7010]) ).
cnf(refute_0_7012,plain,
and(t3,and(not(X),or(b,t2))) = and(t3,and(not(X),or(b,t2))),
introduced(tautology,[refl,[$fot(and(t3,and(not(X),or(b,t2))))]]) ).
cnf(refute_0_7013,plain,
( and(not(X),or(b,t2)) != and(t2,not(X))
| and(t3,and(not(X),or(b,t2))) != and(t3,and(not(X),or(b,t2)))
| and(t3,and(not(X),or(b,t2))) = and(t3,and(t2,not(X))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,and(not(X),or(b,t2))),and(t3,and(not(X),or(b,t2)))) ),[1,1],$fot(and(t2,not(X)))]]) ).
cnf(refute_0_7014,plain,
( and(not(X),or(b,t2)) != and(t2,not(X))
| and(t3,and(not(X),or(b,t2))) = and(t3,and(t2,not(X))) ),
inference(resolve,[$cnf( $equal(and(t3,and(not(X),or(b,t2))),and(t3,and(not(X),or(b,t2)))) )],[refute_0_7012,refute_0_7013]) ).
cnf(refute_0_7015,plain,
and(t3,and(not(X),or(b,t2))) = and(t3,and(t2,not(X))),
inference(resolve,[$cnf( $equal(and(not(X),or(b,t2)),and(t2,not(X))) )],[refute_0_7011,refute_0_7014]) ).
cnf(refute_0_7016,plain,
( and(t3,and(not(X),or(b,t2))) != and(t3,and(t2,not(X)))
| and(t3,and(t2,not(X))) != not(or(t4,X))
| and(t3,and(not(X),or(b,t2))) = not(or(t4,X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t3,and(not(X),or(b,t2))))),bind(Y0,$fot(and(t3,and(t2,not(X))))),bind(Z0,$fot(not(or(t4,X))))]]) ).
cnf(refute_0_7017,plain,
( and(t3,and(t2,not(X))) != not(or(t4,X))
| and(t3,and(not(X),or(b,t2))) = not(or(t4,X)) ),
inference(resolve,[$cnf( $equal(and(t3,and(not(X),or(b,t2))),and(t3,and(t2,not(X)))) )],[refute_0_7015,refute_0_7016]) ).
cnf(refute_0_7018,plain,
and(t3,and(not(X),or(b,t2))) = not(or(t4,X)),
inference(resolve,[$cnf( $equal(and(t3,and(t2,not(X))),not(or(t4,X))) )],[refute_0_7003,refute_0_7017]) ).
cnf(refute_0_7019,plain,
( and(t3,and(not(X),or(b,t2))) != not(or(t4,X))
| not(or(X,t4)) != and(t3,and(not(X),or(b,t2)))
| not(or(X,t4)) = not(or(t4,X)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,t4)),and(t3,and(not(X),or(b,t2)))) ),[1],$fot(not(or(t4,X)))]]) ).
cnf(refute_0_7020,plain,
( not(or(X,t4)) != and(t3,and(not(X),or(b,t2)))
| not(or(X,t4)) = not(or(t4,X)) ),
inference(resolve,[$cnf( $equal(and(t3,and(not(X),or(b,t2))),not(or(t4,X))) )],[refute_0_7018,refute_0_7019]) ).
cnf(refute_0_7021,plain,
( not(or(X,xor(t3,or(b,t2)))) != and(t3,and(not(X),or(b,t2)))
| not(or(X,t4)) = not(or(t4,X)) ),
inference(resolve,[$cnf( $equal(not(or(X,t4)),and(t3,and(not(X),or(b,t2)))) )],[refute_0_6994,refute_0_7020]) ).
cnf(refute_0_7022,plain,
not(or(X,t4)) = not(or(t4,X)),
inference(resolve,[$cnf( $equal(not(or(X,xor(t3,or(b,t2)))),and(t3,and(not(X),or(b,t2)))) )],[refute_0_6542,refute_0_7021]) ).
cnf(refute_0_7023,plain,
( not(or(X,t4)) != not(or(t4,X))
| not(or(t4,X)) = not(or(X,t4)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X,t4)))),bind(Y0,$fot(not(or(t4,X))))]]) ).
cnf(refute_0_7024,plain,
not(or(t4,X)) = not(or(X,t4)),
inference(resolve,[$cnf( $equal(not(or(X,t4)),not(or(t4,X))) )],[refute_0_7022,refute_0_7023]) ).
cnf(refute_0_7025,plain,
not(or(t4,cin)) = not(or(cin,t4)),
inference(subst,[],[refute_0_7024:[bind(X,$fot(cin))]]) ).
cnf(refute_0_7026,plain,
and(not(t4),not(cin)) = not(or(t4,cin)),
inference(subst,[],[refute_0_101:[bind(X,$fot(t4)),bind(Y,$fot(cin))]]) ).
cnf(refute_0_7027,plain,
( and(not(t4),not(cin)) != not(or(t4,cin))
| not(or(t4,cin)) != not(or(cin,t4))
| and(not(t4),not(cin)) = not(or(cin,t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t4),not(cin)))),bind(Y0,$fot(not(or(t4,cin)))),bind(Z0,$fot(not(or(cin,t4))))]]) ).
cnf(refute_0_7028,plain,
( not(or(t4,cin)) != not(or(cin,t4))
| and(not(t4),not(cin)) = not(or(cin,t4)) ),
inference(resolve,[$cnf( $equal(and(not(t4),not(cin)),not(or(t4,cin))) )],[refute_0_7026,refute_0_7027]) ).
cnf(refute_0_7029,plain,
and(not(t4),not(cin)) = not(or(cin,t4)),
inference(resolve,[$cnf( $equal(not(or(t4,cin)),not(or(cin,t4))) )],[refute_0_7025,refute_0_7028]) ).
cnf(refute_0_7030,plain,
( and(not(t4),not(cin)) != and(t5,xor(cin,t6))
| and(not(t4),not(cin)) != not(or(cin,t4))
| not(or(cin,t4)) = and(t5,xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),not(cin)),and(t5,xor(cin,t6))) ),[0],$fot(not(or(cin,t4)))]]) ).
cnf(refute_0_7031,plain,
( and(not(t4),not(cin)) != and(t5,xor(cin,t6))
| not(or(cin,t4)) = and(t5,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(and(not(t4),not(cin)),not(or(cin,t4))) )],[refute_0_7029,refute_0_7030]) ).
cnf(refute_0_7032,plain,
( and(t5,xor(cin,t6)) != xor(cin,t6)
| not(or(cin,t4)) != and(t5,xor(cin,t6))
| not(or(cin,t4)) = xor(cin,t6) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(cin,t4)),and(t5,xor(cin,t6))) ),[1],$fot(xor(cin,t6))]]) ).
cnf(refute_0_7033,plain,
( not(or(cin,t4)) != and(t5,xor(cin,t6))
| not(or(cin,t4)) = xor(cin,t6) ),
inference(resolve,[$cnf( $equal(and(t5,xor(cin,t6)),xor(cin,t6)) )],[refute_0_2309,refute_0_7032]) ).
cnf(refute_0_7034,plain,
( and(not(t4),not(cin)) != and(t5,xor(cin,t6))
| not(or(cin,t4)) = xor(cin,t6) ),
inference(resolve,[$cnf( $equal(not(or(cin,t4)),and(t5,xor(cin,t6))) )],[refute_0_7031,refute_0_7033]) ).
cnf(refute_0_7035,plain,
not(or(cin,t4)) = xor(cin,t6),
inference(resolve,[$cnf( $equal(and(not(t4),not(cin)),and(t5,xor(cin,t6))) )],[refute_0_6443,refute_0_7034]) ).
cnf(refute_0_7036,plain,
( not(not(or(cin,t4))) != or(cin,t4)
| not(or(cin,t4)) != xor(cin,t6)
| not(xor(cin,t6)) = or(cin,t4) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(or(cin,t4))),or(cin,t4)) ),[0,0],$fot(xor(cin,t6))]]) ).
cnf(refute_0_7037,plain,
( not(not(or(cin,t4))) != or(cin,t4)
| not(xor(cin,t6)) = or(cin,t4) ),
inference(resolve,[$cnf( $equal(not(or(cin,t4)),xor(cin,t6)) )],[refute_0_7035,refute_0_7036]) ).
cnf(refute_0_7038,plain,
not(xor(cin,t6)) = or(cin,t4),
inference(resolve,[$cnf( $equal(not(not(or(cin,t4))),or(cin,t4)) )],[refute_0_6439,refute_0_7037]) ).
cnf(refute_0_7039,plain,
( not(xor(cin,t6)) != or(cin,sum)
| not(xor(cin,t6)) != or(cin,t4)
| or(cin,sum) = or(cin,t4) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(cin,t6)),or(cin,t4)) ),[0],$fot(or(cin,sum))]]) ).
cnf(refute_0_7040,plain,
( not(xor(cin,t6)) != or(cin,t4)
| or(cin,sum) = or(cin,t4) ),
inference(resolve,[$cnf( $equal(not(xor(cin,t6)),or(cin,sum)) )],[refute_0_2510,refute_0_7039]) ).
cnf(refute_0_7041,plain,
or(cin,sum) = or(cin,t4),
inference(resolve,[$cnf( $equal(not(xor(cin,t6)),or(cin,t4)) )],[refute_0_7038,refute_0_7040]) ).
cnf(refute_0_7042,plain,
( or(cin,sum) != or(cin,t4)
| or(cin,t4) = or(cin,sum) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(cin,sum))),bind(Y0,$fot(or(cin,t4)))]]) ).
cnf(refute_0_7043,plain,
or(cin,t4) = or(cin,sum),
inference(resolve,[$cnf( $equal(or(cin,sum),or(cin,t4)) )],[refute_0_7041,refute_0_7042]) ).
cnf(refute_0_7044,plain,
( or(cin,t4) != or(cin,sum)
| or(or(cin,t4),Z) != or(cin,or(t4,Z))
| or(or(cin,sum),Z) = or(cin,or(t4,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(cin,t4),Z),or(cin,or(t4,Z))) ),[0,0],$fot(or(cin,sum))]]) ).
cnf(refute_0_7045,plain,
( or(or(cin,t4),Z) != or(cin,or(t4,Z))
| or(or(cin,sum),Z) = or(cin,or(t4,Z)) ),
inference(resolve,[$cnf( $equal(or(cin,t4),or(cin,sum)) )],[refute_0_7043,refute_0_7044]) ).
cnf(refute_0_7046,plain,
or(or(cin,sum),Z) = or(cin,or(t4,Z)),
inference(resolve,[$cnf( $equal(or(or(cin,t4),Z),or(cin,or(t4,Z))) )],[refute_0_6438,refute_0_7045]) ).
cnf(refute_0_7047,plain,
or(or(cin,sum),Z) = or(cin,or(sum,Z)),
inference(subst,[],[or_associative:[bind(X,$fot(cin)),bind(Y,$fot(sum))]]) ).
cnf(refute_0_7048,plain,
( or(or(cin,sum),Z) != or(cin,or(sum,Z))
| or(or(cin,sum),Z) != or(cin,or(t4,Z))
| or(cin,or(sum,Z)) = or(cin,or(t4,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(cin,sum),Z),or(cin,or(t4,Z))) ),[0],$fot(or(cin,or(sum,Z)))]]) ).
cnf(refute_0_7049,plain,
( or(or(cin,sum),Z) != or(cin,or(t4,Z))
| or(cin,or(sum,Z)) = or(cin,or(t4,Z)) ),
inference(resolve,[$cnf( $equal(or(or(cin,sum),Z),or(cin,or(sum,Z))) )],[refute_0_7047,refute_0_7048]) ).
cnf(refute_0_7050,plain,
or(cin,or(sum,Z)) = or(cin,or(t4,Z)),
inference(resolve,[$cnf( $equal(or(or(cin,sum),Z),or(cin,or(t4,Z))) )],[refute_0_7046,refute_0_7049]) ).
cnf(refute_0_7051,plain,
( or(cin,or(sum,Z)) != or(cin,or(t4,Z))
| or(cin,or(t4,Z)) = or(cin,or(sum,Z)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(cin,or(sum,Z)))),bind(Y0,$fot(or(cin,or(t4,Z))))]]) ).
cnf(refute_0_7052,plain,
or(cin,or(t4,Z)) = or(cin,or(sum,Z)),
inference(resolve,[$cnf( $equal(or(cin,or(sum,Z)),or(cin,or(t4,Z))) )],[refute_0_7050,refute_0_7051]) ).
cnf(refute_0_7053,plain,
or(cin,or(t4,and(cin,sum))) = or(cin,or(sum,and(cin,sum))),
inference(subst,[],[refute_0_7052:[bind(Z,$fot(and(cin,sum)))]]) ).
cnf(refute_0_7054,plain,
or(t4,or(cin,and(cin,sum))) = or(cin,or(t4,and(cin,sum))),
inference(subst,[],[refute_0_267:[bind(X_37,$fot(t4)),bind(X_38,$fot(cin)),bind(X_39,$fot(and(cin,sum)))]]) ).
cnf(refute_0_7055,plain,
( or(cin,or(t4,and(cin,sum))) != or(cin,or(sum,and(cin,sum)))
| or(t4,or(cin,and(cin,sum))) != or(cin,or(t4,and(cin,sum)))
| or(t4,or(cin,and(cin,sum))) = or(cin,or(sum,and(cin,sum))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t4,or(cin,and(cin,sum))))),bind(Y0,$fot(or(cin,or(t4,and(cin,sum))))),bind(Z0,$fot(or(cin,or(sum,and(cin,sum)))))]]) ).
cnf(refute_0_7056,plain,
( or(cin,or(t4,and(cin,sum))) != or(cin,or(sum,and(cin,sum)))
| or(t4,or(cin,and(cin,sum))) = or(cin,or(sum,and(cin,sum))) ),
inference(resolve,[$cnf( $equal(or(t4,or(cin,and(cin,sum))),or(cin,or(t4,and(cin,sum)))) )],[refute_0_7054,refute_0_7055]) ).
cnf(refute_0_7057,plain,
or(t4,or(cin,and(cin,sum))) = or(cin,or(sum,and(cin,sum))),
inference(resolve,[$cnf( $equal(or(cin,or(t4,and(cin,sum))),or(cin,or(sum,and(cin,sum)))) )],[refute_0_7053,refute_0_7056]) ).
cnf(refute_0_7058,plain,
or(t4,or(and(cin,sum),cin)) = or(t4,or(cin,and(cin,sum))),
inference(subst,[],[refute_0_3788:[bind(X_37,$fot(t4)),bind(X_38,$fot(cin)),bind(X_39,$fot(and(cin,sum)))]]) ).
cnf(refute_0_7059,plain,
( or(t4,or(and(cin,sum),cin)) != or(t4,or(cin,and(cin,sum)))
| or(t4,or(cin,and(cin,sum))) != or(cin,or(sum,and(cin,sum)))
| or(t4,or(and(cin,sum),cin)) = or(cin,or(sum,and(cin,sum))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t4,or(and(cin,sum),cin)))),bind(Y0,$fot(or(t4,or(cin,and(cin,sum))))),bind(Z0,$fot(or(cin,or(sum,and(cin,sum)))))]]) ).
cnf(refute_0_7060,plain,
( or(t4,or(cin,and(cin,sum))) != or(cin,or(sum,and(cin,sum)))
| or(t4,or(and(cin,sum),cin)) = or(cin,or(sum,and(cin,sum))) ),
inference(resolve,[$cnf( $equal(or(t4,or(and(cin,sum),cin)),or(t4,or(cin,and(cin,sum)))) )],[refute_0_7058,refute_0_7059]) ).
cnf(refute_0_7061,plain,
or(t4,or(and(cin,sum),cin)) = or(cin,or(sum,and(cin,sum))),
inference(resolve,[$cnf( $equal(or(t4,or(cin,and(cin,sum))),or(cin,or(sum,and(cin,sum)))) )],[refute_0_7057,refute_0_7060]) ).
cnf(refute_0_7062,plain,
or(or(t4,and(cin,sum)),cin) = or(t4,or(and(cin,sum),cin)),
inference(subst,[],[or_associative:[bind(X,$fot(t4)),bind(Y,$fot(and(cin,sum))),bind(Z,$fot(cin))]]) ).
cnf(refute_0_7063,plain,
( or(or(t4,and(cin,sum)),cin) != or(t4,or(and(cin,sum),cin))
| or(t4,or(and(cin,sum),cin)) != or(cin,or(sum,and(cin,sum)))
| or(or(t4,and(cin,sum)),cin) = or(cin,or(sum,and(cin,sum))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(or(t4,and(cin,sum)),cin))),bind(Y0,$fot(or(t4,or(and(cin,sum),cin)))),bind(Z0,$fot(or(cin,or(sum,and(cin,sum)))))]]) ).
cnf(refute_0_7064,plain,
( or(t4,or(and(cin,sum),cin)) != or(cin,or(sum,and(cin,sum)))
| or(or(t4,and(cin,sum)),cin) = or(cin,or(sum,and(cin,sum))) ),
inference(resolve,[$cnf( $equal(or(or(t4,and(cin,sum)),cin),or(t4,or(and(cin,sum),cin))) )],[refute_0_7062,refute_0_7063]) ).
cnf(refute_0_7065,plain,
or(or(t4,and(cin,sum)),cin) = or(cin,or(sum,and(cin,sum))),
inference(resolve,[$cnf( $equal(or(t4,or(and(cin,sum),cin)),or(cin,or(sum,and(cin,sum)))) )],[refute_0_7061,refute_0_7064]) ).
cnf(refute_0_7066,plain,
( or(cin,or(sum,and(cin,sum))) != or(cin,sum)
| or(or(t4,and(cin,sum)),cin) != or(cin,or(sum,and(cin,sum)))
| or(or(t4,and(cin,sum)),cin) = or(cin,sum) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(or(t4,and(cin,sum)),cin))),bind(Y0,$fot(or(cin,or(sum,and(cin,sum))))),bind(Z0,$fot(or(cin,sum)))]]) ).
cnf(refute_0_7067,plain,
( or(cin,or(sum,and(cin,sum))) != or(cin,sum)
| or(or(t4,and(cin,sum)),cin) = or(cin,sum) ),
inference(resolve,[$cnf( $equal(or(or(t4,and(cin,sum)),cin),or(cin,or(sum,and(cin,sum)))) )],[refute_0_7065,refute_0_7066]) ).
cnf(refute_0_7068,plain,
or(or(t4,and(cin,sum)),cin) = or(cin,sum),
inference(resolve,[$cnf( $equal(or(cin,or(sum,and(cin,sum))),or(cin,sum)) )],[refute_0_6437,refute_0_7067]) ).
cnf(refute_0_7069,plain,
( or(or(t4,and(cin,sum)),cin) != or(cin,sum)
| or(or(t4,and(cin,sum)),cin) != or(t4,and(cin,sum))
| or(cin,sum) = or(t4,and(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t4,and(cin,sum)),cin),or(t4,and(cin,sum))) ),[0],$fot(or(cin,sum))]]) ).
cnf(refute_0_7070,plain,
( or(or(t4,and(cin,sum)),cin) != or(t4,and(cin,sum))
| or(cin,sum) = or(t4,and(cin,sum)) ),
inference(resolve,[$cnf( $equal(or(or(t4,and(cin,sum)),cin),or(cin,sum)) )],[refute_0_7068,refute_0_7069]) ).
cnf(refute_0_7071,plain,
or(cin,sum) = or(t4,and(cin,sum)),
inference(resolve,[$cnf( $equal(or(or(t4,and(cin,sum)),cin),or(t4,and(cin,sum))) )],[refute_0_6432,refute_0_7070]) ).
cnf(refute_0_7072,plain,
( or(cin,sum) != or(t4,and(cin,sum))
| or(t4,and(cin,sum)) = or(cin,sum) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(cin,sum))),bind(Y0,$fot(or(t4,and(cin,sum))))]]) ).
cnf(refute_0_7073,plain,
or(t4,and(cin,sum)) = or(cin,sum),
inference(resolve,[$cnf( $equal(or(cin,sum),or(t4,and(cin,sum))) )],[refute_0_7071,refute_0_7072]) ).
cnf(refute_0_7074,plain,
( or(cin,not(xor(t6,and(cin,sum)))) != or(t4,and(cin,sum))
| or(t4,and(cin,sum)) != or(cin,sum)
| or(cin,not(xor(t6,and(cin,sum)))) = or(cin,sum) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(cin,not(xor(t6,and(cin,sum)))),or(cin,sum)) ),[0],$fot(or(t4,and(cin,sum)))]]) ).
cnf(refute_0_7075,plain,
( or(cin,not(xor(t6,and(cin,sum)))) != or(t4,and(cin,sum))
| or(cin,not(xor(t6,and(cin,sum)))) = or(cin,sum) ),
inference(resolve,[$cnf( $equal(or(t4,and(cin,sum)),or(cin,sum)) )],[refute_0_7073,refute_0_7074]) ).
cnf(refute_0_7076,plain,
or(cin,not(xor(t6,and(cin,sum)))) = or(cin,sum),
inference(resolve,[$cnf( $equal(or(cin,not(xor(t6,and(cin,sum)))),or(t4,and(cin,sum))) )],[refute_0_6410,refute_0_7075]) ).
cnf(refute_0_7077,plain,
( and(or(cin,not(xor(t6,and(cin,sum)))),not(or(not(xor(t6,and(cin,sum))),cin))) != ll0
| or(cin,not(xor(t6,and(cin,sum)))) != or(cin,sum)
| and(or(cin,sum),not(or(not(xor(t6,and(cin,sum))),cin))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(cin,not(xor(t6,and(cin,sum)))),not(or(not(xor(t6,and(cin,sum))),cin))),ll0) ),[0,0],$fot(or(cin,sum))]]) ).
cnf(refute_0_7078,plain,
( and(or(cin,not(xor(t6,and(cin,sum)))),not(or(not(xor(t6,and(cin,sum))),cin))) != ll0
| and(or(cin,sum),not(or(not(xor(t6,and(cin,sum))),cin))) = ll0 ),
inference(resolve,[$cnf( $equal(or(cin,not(xor(t6,and(cin,sum)))),or(cin,sum)) )],[refute_0_7076,refute_0_7077]) ).
cnf(refute_0_7079,plain,
and(or(cin,sum),not(or(not(xor(t6,and(cin,sum))),cin))) = ll0,
inference(resolve,[$cnf( $equal(and(or(cin,not(xor(t6,and(cin,sum)))),not(or(not(xor(t6,and(cin,sum))),cin))),ll0) )],[refute_0_6223,refute_0_7078]) ).
cnf(refute_0_7080,plain,
and(xor(t6,and(cin,sum)),not(t6)) = and(not(t6),xor(t6,and(cin,sum))),
inference(subst,[],[refute_0_116:[bind(X,$fot(not(t6))),bind(Y,$fot(xor(t6,and(cin,sum))))]]) ).
cnf(refute_0_7081,plain,
not(or(cin,xor(cin,t6))) = not(or(cin,xor(cin,t6))),
introduced(tautology,[refl,[$fot(not(or(cin,xor(cin,t6))))]]) ).
cnf(refute_0_7082,plain,
( not(or(cin,xor(cin,t6))) != not(or(cin,xor(cin,t6)))
| or(cin,xor(cin,t6)) != t6
| not(or(cin,xor(cin,t6))) = not(t6) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(cin,xor(cin,t6))),not(or(cin,xor(cin,t6)))) ),[1,0],$fot(t6)]]) ).
cnf(refute_0_7083,plain,
( or(cin,xor(cin,t6)) != t6
| not(or(cin,xor(cin,t6))) = not(t6) ),
inference(resolve,[$cnf( $equal(not(or(cin,xor(cin,t6))),not(or(cin,xor(cin,t6)))) )],[refute_0_7081,refute_0_7082]) ).
cnf(refute_0_7084,plain,
not(or(cin,xor(cin,t6))) = not(t6),
inference(resolve,[$cnf( $equal(or(cin,xor(cin,t6)),t6) )],[refute_0_1473,refute_0_7083]) ).
cnf(refute_0_7085,plain,
and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6)))) = and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6)))),
introduced(tautology,[refl,[$fot(and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6)))))]]) ).
cnf(refute_0_7086,plain,
( and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6)))) != and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6))))
| not(or(cin,xor(cin,t6))) != not(t6)
| and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6)))) = and(xor(t6,and(cin,sum)),not(t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6)))),and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6))))) ),[1,1],$fot(not(t6))]]) ).
cnf(refute_0_7087,plain,
( not(or(cin,xor(cin,t6))) != not(t6)
| and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6)))) = and(xor(t6,and(cin,sum)),not(t6)) ),
inference(resolve,[$cnf( $equal(and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6)))),and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6))))) )],[refute_0_7085,refute_0_7086]) ).
cnf(refute_0_7088,plain,
and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6)))) = and(xor(t6,and(cin,sum)),not(t6)),
inference(resolve,[$cnf( $equal(not(or(cin,xor(cin,t6))),not(t6)) )],[refute_0_7084,refute_0_7087]) ).
cnf(refute_0_7089,plain,
( and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6)))) != and(xor(t6,and(cin,sum)),not(t6))
| and(xor(t6,and(cin,sum)),not(t6)) != and(not(t6),xor(t6,and(cin,sum)))
| and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6)))) = and(not(t6),xor(t6,and(cin,sum))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6)))))),bind(Y0,$fot(and(xor(t6,and(cin,sum)),not(t6)))),bind(Z0,$fot(and(not(t6),xor(t6,and(cin,sum)))))]]) ).
cnf(refute_0_7090,plain,
( and(xor(t6,and(cin,sum)),not(t6)) != and(not(t6),xor(t6,and(cin,sum)))
| and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6)))) = and(not(t6),xor(t6,and(cin,sum))) ),
inference(resolve,[$cnf( $equal(and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6)))),and(xor(t6,and(cin,sum)),not(t6))) )],[refute_0_7088,refute_0_7089]) ).
cnf(refute_0_7091,plain,
and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6)))) = and(not(t6),xor(t6,and(cin,sum))),
inference(resolve,[$cnf( $equal(and(xor(t6,and(cin,sum)),not(t6)),and(not(t6),xor(t6,and(cin,sum)))) )],[refute_0_7080,refute_0_7090]) ).
cnf(refute_0_7092,plain,
and(not(or(cin,xor(cin,t6))),xor(t6,and(cin,sum))) = and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6)))),
inference(subst,[],[refute_0_116:[bind(X,$fot(xor(t6,and(cin,sum)))),bind(Y,$fot(not(or(cin,xor(cin,t6)))))]]) ).
cnf(refute_0_7093,plain,
not(or(or(X,Y),not(X_78))) = and(not(or(X,Y)),X_78),
inference(subst,[],[refute_0_801:[bind(X,$fot(X_78)),bind(X_25,$fot(or(X,Y)))]]) ).
cnf(refute_0_7094,plain,
or(or(X,Y),not(X_78)) = or(X,or(Y,not(X_78))),
inference(subst,[],[or_associative:[bind(Z,$fot(not(X_78)))]]) ).
cnf(refute_0_7095,plain,
( not(or(or(X,Y),not(X_78))) != and(not(or(X,Y)),X_78)
| or(or(X,Y),not(X_78)) != or(X,or(Y,not(X_78)))
| not(or(X,or(Y,not(X_78)))) = and(not(or(X,Y)),X_78) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(or(X,Y),not(X_78))),and(not(or(X,Y)),X_78)) ),[0,0],$fot(or(X,or(Y,not(X_78))))]]) ).
cnf(refute_0_7096,plain,
( not(or(or(X,Y),not(X_78))) != and(not(or(X,Y)),X_78)
| not(or(X,or(Y,not(X_78)))) = and(not(or(X,Y)),X_78) ),
inference(resolve,[$cnf( $equal(or(or(X,Y),not(X_78)),or(X,or(Y,not(X_78)))) )],[refute_0_7094,refute_0_7095]) ).
cnf(refute_0_7097,plain,
not(or(X,or(Y,not(X_78)))) = and(not(or(X,Y)),X_78),
inference(resolve,[$cnf( $equal(not(or(or(X,Y),not(X_78))),and(not(or(X,Y)),X_78)) )],[refute_0_7093,refute_0_7096]) ).
cnf(refute_0_7098,plain,
not(or(cin,or(xor(cin,t6),not(xor(t6,and(cin,sum)))))) = and(not(or(cin,xor(cin,t6))),xor(t6,and(cin,sum))),
inference(subst,[],[refute_0_7097:[bind(X,$fot(cin)),bind(Y,$fot(xor(cin,t6))),bind(X_78,$fot(xor(t6,and(cin,sum))))]]) ).
cnf(refute_0_7099,plain,
( and(not(or(cin,xor(cin,t6))),xor(t6,and(cin,sum))) != and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6))))
| not(or(cin,or(xor(cin,t6),not(xor(t6,and(cin,sum)))))) != and(not(or(cin,xor(cin,t6))),xor(t6,and(cin,sum)))
| not(or(cin,or(xor(cin,t6),not(xor(t6,and(cin,sum)))))) = and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(cin,or(xor(cin,t6),not(xor(t6,and(cin,sum)))))))),bind(Y0,$fot(and(not(or(cin,xor(cin,t6))),xor(t6,and(cin,sum))))),bind(Z0,$fot(and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6))))))]]) ).
cnf(refute_0_7100,plain,
( and(not(or(cin,xor(cin,t6))),xor(t6,and(cin,sum))) != and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6))))
| not(or(cin,or(xor(cin,t6),not(xor(t6,and(cin,sum)))))) = and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6)))) ),
inference(resolve,[$cnf( $equal(not(or(cin,or(xor(cin,t6),not(xor(t6,and(cin,sum)))))),and(not(or(cin,xor(cin,t6))),xor(t6,and(cin,sum)))) )],[refute_0_7098,refute_0_7099]) ).
cnf(refute_0_7101,plain,
not(or(cin,or(xor(cin,t6),not(xor(t6,and(cin,sum)))))) = and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6)))),
inference(resolve,[$cnf( $equal(and(not(or(cin,xor(cin,t6))),xor(t6,and(cin,sum))),and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6))))) )],[refute_0_7092,refute_0_7100]) ).
cnf(refute_0_7102,plain,
not(or(xor(cin,t6),or(not(xor(t6,and(cin,sum))),cin))) = not(or(cin,or(xor(cin,t6),not(xor(t6,and(cin,sum)))))),
inference(subst,[],[refute_0_2914:[bind(X_26,$fot(cin)),bind(X_37,$fot(xor(cin,t6))),bind(X_38,$fot(not(xor(t6,and(cin,sum)))))]]) ).
cnf(refute_0_7103,plain,
( not(or(cin,or(xor(cin,t6),not(xor(t6,and(cin,sum)))))) != and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6))))
| not(or(xor(cin,t6),or(not(xor(t6,and(cin,sum))),cin))) != not(or(cin,or(xor(cin,t6),not(xor(t6,and(cin,sum))))))
| not(or(xor(cin,t6),or(not(xor(t6,and(cin,sum))),cin))) = and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(xor(cin,t6),or(not(xor(t6,and(cin,sum))),cin))))),bind(Y0,$fot(not(or(cin,or(xor(cin,t6),not(xor(t6,and(cin,sum)))))))),bind(Z0,$fot(and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6))))))]]) ).
cnf(refute_0_7104,plain,
( not(or(cin,or(xor(cin,t6),not(xor(t6,and(cin,sum)))))) != and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6))))
| not(or(xor(cin,t6),or(not(xor(t6,and(cin,sum))),cin))) = and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6)))) ),
inference(resolve,[$cnf( $equal(not(or(xor(cin,t6),or(not(xor(t6,and(cin,sum))),cin))),not(or(cin,or(xor(cin,t6),not(xor(t6,and(cin,sum))))))) )],[refute_0_7102,refute_0_7103]) ).
cnf(refute_0_7105,plain,
not(or(xor(cin,t6),or(not(xor(t6,and(cin,sum))),cin))) = and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6)))),
inference(resolve,[$cnf( $equal(not(or(cin,or(xor(cin,t6),not(xor(t6,and(cin,sum)))))),and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6))))) )],[refute_0_7101,refute_0_7104]) ).
cnf(refute_0_7106,plain,
not(or(xor(cin,t6),Y)) = and(not(xor(cin,t6)),not(Y)),
inference(subst,[],[or_demorgan:[bind(X,$fot(xor(cin,t6)))]]) ).
cnf(refute_0_7107,plain,
( not(or(xor(cin,t6),Y)) != and(not(xor(cin,t6)),not(Y))
| not(xor(cin,t6)) != or(cin,sum)
| not(or(xor(cin,t6),Y)) = and(or(cin,sum),not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(cin,t6),Y)),and(not(xor(cin,t6)),not(Y))) ),[1,0],$fot(or(cin,sum))]]) ).
cnf(refute_0_7108,plain,
( not(or(xor(cin,t6),Y)) != and(not(xor(cin,t6)),not(Y))
| not(or(xor(cin,t6),Y)) = and(or(cin,sum),not(Y)) ),
inference(resolve,[$cnf( $equal(not(xor(cin,t6)),or(cin,sum)) )],[refute_0_2510,refute_0_7107]) ).
cnf(refute_0_7109,plain,
not(or(xor(cin,t6),Y)) = and(or(cin,sum),not(Y)),
inference(resolve,[$cnf( $equal(not(or(xor(cin,t6),Y)),and(not(xor(cin,t6)),not(Y))) )],[refute_0_7106,refute_0_7108]) ).
cnf(refute_0_7110,plain,
( not(or(xor(cin,t6),Y)) != and(or(cin,sum),not(Y))
| and(or(cin,sum),not(Y)) = not(or(xor(cin,t6),Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(xor(cin,t6),Y)))),bind(Y0,$fot(and(or(cin,sum),not(Y))))]]) ).
cnf(refute_0_7111,plain,
and(or(cin,sum),not(Y)) = not(or(xor(cin,t6),Y)),
inference(resolve,[$cnf( $equal(not(or(xor(cin,t6),Y)),and(or(cin,sum),not(Y))) )],[refute_0_7109,refute_0_7110]) ).
cnf(refute_0_7112,plain,
and(or(cin,sum),not(or(not(xor(t6,and(cin,sum))),cin))) = not(or(xor(cin,t6),or(not(xor(t6,and(cin,sum))),cin))),
inference(subst,[],[refute_0_7111:[bind(Y,$fot(or(not(xor(t6,and(cin,sum))),cin)))]]) ).
cnf(refute_0_7113,plain,
( and(or(cin,sum),not(or(not(xor(t6,and(cin,sum))),cin))) != not(or(xor(cin,t6),or(not(xor(t6,and(cin,sum))),cin)))
| not(or(xor(cin,t6),or(not(xor(t6,and(cin,sum))),cin))) != and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6))))
| and(or(cin,sum),not(or(not(xor(t6,and(cin,sum))),cin))) = and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(or(cin,sum),not(or(not(xor(t6,and(cin,sum))),cin))))),bind(Y0,$fot(not(or(xor(cin,t6),or(not(xor(t6,and(cin,sum))),cin))))),bind(Z0,$fot(and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6))))))]]) ).
cnf(refute_0_7114,plain,
( not(or(xor(cin,t6),or(not(xor(t6,and(cin,sum))),cin))) != and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6))))
| and(or(cin,sum),not(or(not(xor(t6,and(cin,sum))),cin))) = and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6)))) ),
inference(resolve,[$cnf( $equal(and(or(cin,sum),not(or(not(xor(t6,and(cin,sum))),cin))),not(or(xor(cin,t6),or(not(xor(t6,and(cin,sum))),cin)))) )],[refute_0_7112,refute_0_7113]) ).
cnf(refute_0_7115,plain,
and(or(cin,sum),not(or(not(xor(t6,and(cin,sum))),cin))) = and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6)))),
inference(resolve,[$cnf( $equal(not(or(xor(cin,t6),or(not(xor(t6,and(cin,sum))),cin))),and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6))))) )],[refute_0_7105,refute_0_7114]) ).
cnf(refute_0_7116,plain,
( and(or(cin,sum),not(or(not(xor(t6,and(cin,sum))),cin))) != and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6))))
| and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6)))) != and(not(t6),xor(t6,and(cin,sum)))
| and(or(cin,sum),not(or(not(xor(t6,and(cin,sum))),cin))) = and(not(t6),xor(t6,and(cin,sum))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(or(cin,sum),not(or(not(xor(t6,and(cin,sum))),cin))))),bind(Y0,$fot(and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6)))))),bind(Z0,$fot(and(not(t6),xor(t6,and(cin,sum)))))]]) ).
cnf(refute_0_7117,plain,
( and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6)))) != and(not(t6),xor(t6,and(cin,sum)))
| and(or(cin,sum),not(or(not(xor(t6,and(cin,sum))),cin))) = and(not(t6),xor(t6,and(cin,sum))) ),
inference(resolve,[$cnf( $equal(and(or(cin,sum),not(or(not(xor(t6,and(cin,sum))),cin))),and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6))))) )],[refute_0_7115,refute_0_7116]) ).
cnf(refute_0_7118,plain,
and(or(cin,sum),not(or(not(xor(t6,and(cin,sum))),cin))) = and(not(t6),xor(t6,and(cin,sum))),
inference(resolve,[$cnf( $equal(and(xor(t6,and(cin,sum)),not(or(cin,xor(cin,t6)))),and(not(t6),xor(t6,and(cin,sum)))) )],[refute_0_7091,refute_0_7117]) ).
cnf(refute_0_7119,plain,
( and(or(cin,sum),not(or(not(xor(t6,and(cin,sum))),cin))) != and(not(t6),xor(t6,and(cin,sum)))
| and(or(cin,sum),not(or(not(xor(t6,and(cin,sum))),cin))) != ll0
| and(not(t6),xor(t6,and(cin,sum))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(cin,sum),not(or(not(xor(t6,and(cin,sum))),cin))),ll0) ),[0],$fot(and(not(t6),xor(t6,and(cin,sum))))]]) ).
cnf(refute_0_7120,plain,
( and(or(cin,sum),not(or(not(xor(t6,and(cin,sum))),cin))) != ll0
| and(not(t6),xor(t6,and(cin,sum))) = ll0 ),
inference(resolve,[$cnf( $equal(and(or(cin,sum),not(or(not(xor(t6,and(cin,sum))),cin))),and(not(t6),xor(t6,and(cin,sum)))) )],[refute_0_7118,refute_0_7119]) ).
cnf(refute_0_7121,plain,
and(not(t6),xor(t6,and(cin,sum))) = ll0,
inference(resolve,[$cnf( $equal(and(or(cin,sum),not(or(not(xor(t6,and(cin,sum))),cin))),ll0) )],[refute_0_7079,refute_0_7120]) ).
cnf(refute_0_7122,plain,
( and(not(t6),xor(t6,and(cin,sum))) != ll0
| or(and(t6,not(xor(t6,and(cin,sum)))),and(not(t6),xor(t6,and(cin,sum)))) != xor(t6,xor(t6,and(cin,sum)))
| or(and(t6,not(xor(t6,and(cin,sum)))),ll0) = xor(t6,xor(t6,and(cin,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,not(xor(t6,and(cin,sum)))),and(not(t6),xor(t6,and(cin,sum)))),xor(t6,xor(t6,and(cin,sum)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_7123,plain,
( or(and(t6,not(xor(t6,and(cin,sum)))),and(not(t6),xor(t6,and(cin,sum)))) != xor(t6,xor(t6,and(cin,sum)))
| or(and(t6,not(xor(t6,and(cin,sum)))),ll0) = xor(t6,xor(t6,and(cin,sum))) ),
inference(resolve,[$cnf( $equal(and(not(t6),xor(t6,and(cin,sum))),ll0) )],[refute_0_7121,refute_0_7122]) ).
cnf(refute_0_7124,plain,
or(and(t6,not(xor(t6,and(cin,sum)))),ll0) = xor(t6,xor(t6,and(cin,sum))),
inference(resolve,[$cnf( $equal(or(and(t6,not(xor(t6,and(cin,sum)))),and(not(t6),xor(t6,and(cin,sum)))),xor(t6,xor(t6,and(cin,sum)))) )],[refute_0_6222,refute_0_7123]) ).
cnf(refute_0_7125,plain,
or(and(t6,not(xor(t6,and(cin,sum)))),ll0) = and(t6,not(xor(t6,and(cin,sum)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t6,not(xor(t6,and(cin,sum))))))]]) ).
cnf(refute_0_7126,plain,
( or(and(t6,not(xor(t6,and(cin,sum)))),ll0) != and(t6,not(xor(t6,and(cin,sum))))
| or(and(t6,not(xor(t6,and(cin,sum)))),ll0) != xor(t6,xor(t6,and(cin,sum)))
| and(t6,not(xor(t6,and(cin,sum)))) = xor(t6,xor(t6,and(cin,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,not(xor(t6,and(cin,sum)))),ll0),xor(t6,xor(t6,and(cin,sum)))) ),[0],$fot(and(t6,not(xor(t6,and(cin,sum)))))]]) ).
cnf(refute_0_7127,plain,
( or(and(t6,not(xor(t6,and(cin,sum)))),ll0) != xor(t6,xor(t6,and(cin,sum)))
| and(t6,not(xor(t6,and(cin,sum)))) = xor(t6,xor(t6,and(cin,sum))) ),
inference(resolve,[$cnf( $equal(or(and(t6,not(xor(t6,and(cin,sum)))),ll0),and(t6,not(xor(t6,and(cin,sum))))) )],[refute_0_7125,refute_0_7126]) ).
cnf(refute_0_7128,plain,
xor(t6,xor(t6,and(cin,sum))) = and(cin,sum),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(t6)),bind(X_335,$fot(and(cin,sum)))]]) ).
cnf(refute_0_7129,plain,
( and(t6,not(xor(t6,and(cin,sum)))) != xor(t6,xor(t6,and(cin,sum)))
| xor(t6,xor(t6,and(cin,sum))) != and(cin,sum)
| and(t6,not(xor(t6,and(cin,sum)))) = and(cin,sum) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,not(xor(t6,and(cin,sum)))),and(cin,sum)) ),[0],$fot(xor(t6,xor(t6,and(cin,sum))))]]) ).
cnf(refute_0_7130,plain,
( and(t6,not(xor(t6,and(cin,sum)))) != xor(t6,xor(t6,and(cin,sum)))
| and(t6,not(xor(t6,and(cin,sum)))) = and(cin,sum) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(t6,and(cin,sum))),and(cin,sum)) )],[refute_0_7128,refute_0_7129]) ).
cnf(refute_0_7131,plain,
( or(and(t6,not(xor(t6,and(cin,sum)))),ll0) != xor(t6,xor(t6,and(cin,sum)))
| and(t6,not(xor(t6,and(cin,sum)))) = and(cin,sum) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(t6,and(cin,sum)))),xor(t6,xor(t6,and(cin,sum)))) )],[refute_0_7127,refute_0_7130]) ).
cnf(refute_0_7132,plain,
and(t6,not(xor(t6,and(cin,sum)))) = and(cin,sum),
inference(resolve,[$cnf( $equal(or(and(t6,not(xor(t6,and(cin,sum)))),ll0),xor(t6,xor(t6,and(cin,sum)))) )],[refute_0_7124,refute_0_7131]) ).
cnf(refute_0_7133,plain,
( and(t6,not(xor(t6,and(cin,sum)))) != and(cin,sum)
| or(t6,and(t6,not(xor(t6,and(cin,sum))))) != t6
| or(t6,and(cin,sum)) = t6 ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,and(t6,not(xor(t6,and(cin,sum))))),t6) ),[0,1],$fot(and(cin,sum))]]) ).
cnf(refute_0_7134,plain,
( or(t6,and(t6,not(xor(t6,and(cin,sum))))) != t6
| or(t6,and(cin,sum)) = t6 ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(t6,and(cin,sum)))),and(cin,sum)) )],[refute_0_7132,refute_0_7133]) ).
cnf(refute_0_7135,plain,
or(t6,and(cin,sum)) = t6,
inference(resolve,[$cnf( $equal(or(t6,and(t6,not(xor(t6,and(cin,sum))))),t6) )],[refute_0_6221,refute_0_7134]) ).
cnf(refute_0_7136,plain,
( and(and(cin,sum),or(t6,and(cin,sum))) != and(cin,sum)
| or(t6,and(cin,sum)) != t6
| and(and(cin,sum),t6) = and(cin,sum) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(cin,sum),or(t6,and(cin,sum))),and(cin,sum)) ),[0,1],$fot(t6)]]) ).
cnf(refute_0_7137,plain,
( and(and(cin,sum),or(t6,and(cin,sum))) != and(cin,sum)
| and(and(cin,sum),t6) = and(cin,sum) ),
inference(resolve,[$cnf( $equal(or(t6,and(cin,sum)),t6) )],[refute_0_7135,refute_0_7136]) ).
cnf(refute_0_7138,plain,
and(and(cin,sum),t6) = and(cin,sum),
inference(resolve,[$cnf( $equal(and(and(cin,sum),or(t6,and(cin,sum))),and(cin,sum)) )],[refute_0_6220,refute_0_7137]) ).
cnf(refute_0_7139,plain,
and(cin,and(sum,t6)) = and(cin,and(sum,t6)),
introduced(tautology,[refl,[$fot(and(cin,and(sum,t6)))]]) ).
cnf(refute_0_7140,plain,
( and(cin,and(sum,t6)) != and(cin,and(sum,t6))
| and(sum,t6) != not(t7)
| and(cin,and(sum,t6)) = and(cin,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,and(sum,t6)),and(cin,and(sum,t6))) ),[1,1],$fot(not(t7))]]) ).
cnf(refute_0_7141,plain,
( and(sum,t6) != not(t7)
| and(cin,and(sum,t6)) = and(cin,not(t7)) ),
inference(resolve,[$cnf( $equal(and(cin,and(sum,t6)),and(cin,and(sum,t6))) )],[refute_0_7139,refute_0_7140]) ).
cnf(refute_0_7142,plain,
and(cin,and(sum,t6)) = and(cin,not(t7)),
inference(resolve,[$cnf( $equal(and(sum,t6),not(t7)) )],[refute_0_5395,refute_0_7141]) ).
cnf(refute_0_7143,plain,
( and(cin,and(sum,t6)) != and(cin,not(t7))
| and(cin,not(t7)) != not(t7)
| and(cin,and(sum,t6)) = not(t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(cin,and(sum,t6)))),bind(Y0,$fot(and(cin,not(t7)))),bind(Z0,$fot(not(t7)))]]) ).
cnf(refute_0_7144,plain,
( and(cin,not(t7)) != not(t7)
| and(cin,and(sum,t6)) = not(t7) ),
inference(resolve,[$cnf( $equal(and(cin,and(sum,t6)),and(cin,not(t7))) )],[refute_0_7142,refute_0_7143]) ).
cnf(refute_0_7145,plain,
and(cin,and(sum,t6)) = not(t7),
inference(resolve,[$cnf( $equal(and(cin,not(t7)),not(t7)) )],[refute_0_1101,refute_0_7144]) ).
cnf(refute_0_7146,plain,
and(and(cin,sum),t6) = and(cin,and(sum,t6)),
inference(subst,[],[and_associative:[bind(X,$fot(cin)),bind(Y,$fot(sum)),bind(Z,$fot(t6))]]) ).
cnf(refute_0_7147,plain,
( and(and(cin,sum),t6) != and(cin,and(sum,t6))
| and(cin,and(sum,t6)) != not(t7)
| and(and(cin,sum),t6) = not(t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(cin,sum),t6))),bind(Y0,$fot(and(cin,and(sum,t6)))),bind(Z0,$fot(not(t7)))]]) ).
cnf(refute_0_7148,plain,
( and(cin,and(sum,t6)) != not(t7)
| and(and(cin,sum),t6) = not(t7) ),
inference(resolve,[$cnf( $equal(and(and(cin,sum),t6),and(cin,and(sum,t6))) )],[refute_0_7146,refute_0_7147]) ).
cnf(refute_0_7149,plain,
and(and(cin,sum),t6) = not(t7),
inference(resolve,[$cnf( $equal(and(cin,and(sum,t6)),not(t7)) )],[refute_0_7145,refute_0_7148]) ).
cnf(refute_0_7150,plain,
( and(and(cin,sum),t6) != and(cin,sum)
| and(and(cin,sum),t6) != not(t7)
| not(t7) = and(cin,sum) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(cin,sum),t6),and(cin,sum)) ),[0],$fot(not(t7))]]) ).
cnf(refute_0_7151,plain,
( and(and(cin,sum),t6) != and(cin,sum)
| not(t7) = and(cin,sum) ),
inference(resolve,[$cnf( $equal(and(and(cin,sum),t6),not(t7)) )],[refute_0_7149,refute_0_7150]) ).
cnf(refute_0_7152,plain,
not(t7) = and(cin,sum),
inference(resolve,[$cnf( $equal(and(and(cin,sum),t6),and(cin,sum)) )],[refute_0_7138,refute_0_7151]) ).
cnf(refute_0_7153,plain,
( not(t7) != and(cin,sum)
| and(cin,sum) = not(t7) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t7))),bind(Y0,$fot(and(cin,sum)))]]) ).
cnf(refute_0_7154,plain,
and(cin,sum) = not(t7),
inference(resolve,[$cnf( $equal(not(t7),and(cin,sum)) )],[refute_0_7152,refute_0_7153]) ).
cnf(refute_0_7155,plain,
xor(t6,and(cin,sum)) = xor(t6,and(cin,sum)),
introduced(tautology,[refl,[$fot(xor(t6,and(cin,sum)))]]) ).
cnf(refute_0_7156,plain,
( and(cin,sum) != not(t7)
| xor(t6,and(cin,sum)) != xor(t6,and(cin,sum))
| xor(t6,and(cin,sum)) = xor(t6,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,and(cin,sum)),xor(t6,and(cin,sum))) ),[1,1],$fot(not(t7))]]) ).
cnf(refute_0_7157,plain,
( and(cin,sum) != not(t7)
| xor(t6,and(cin,sum)) = xor(t6,not(t7)) ),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,sum)),xor(t6,and(cin,sum))) )],[refute_0_7155,refute_0_7156]) ).
cnf(refute_0_7158,plain,
xor(t6,and(cin,sum)) = xor(t6,not(t7)),
inference(resolve,[$cnf( $equal(and(cin,sum),not(t7)) )],[refute_0_7154,refute_0_7157]) ).
cnf(refute_0_7159,plain,
( xor(t6,and(cin,sum)) != xor(t6,not(t7))
| xor(t6,not(t7)) != not(sum)
| xor(t6,and(cin,sum)) = not(sum) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,and(cin,sum)))),bind(Y0,$fot(xor(t6,not(t7)))),bind(Z0,$fot(not(sum)))]]) ).
cnf(refute_0_7160,plain,
( xor(t6,not(t7)) != not(sum)
| xor(t6,and(cin,sum)) = not(sum) ),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,sum)),xor(t6,not(t7))) )],[refute_0_7158,refute_0_7159]) ).
cnf(refute_0_7161,plain,
xor(t6,and(cin,sum)) = not(sum),
inference(resolve,[$cnf( $equal(xor(t6,not(t7)),not(sum)) )],[refute_0_6219,refute_0_7160]) ).
cnf(refute_0_7162,plain,
or(cin,xor(t6,and(cin,sum))) = or(cin,xor(t6,and(cin,sum))),
introduced(tautology,[refl,[$fot(or(cin,xor(t6,and(cin,sum))))]]) ).
cnf(refute_0_7163,plain,
( or(cin,xor(t6,and(cin,sum))) != or(cin,xor(t6,and(cin,sum)))
| xor(t6,and(cin,sum)) != not(sum)
| or(cin,xor(t6,and(cin,sum))) = or(cin,not(sum)) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,xor(t6,and(cin,sum))),or(cin,xor(t6,and(cin,sum)))) ),[1,1],$fot(not(sum))]]) ).
cnf(refute_0_7164,plain,
( xor(t6,and(cin,sum)) != not(sum)
| or(cin,xor(t6,and(cin,sum))) = or(cin,not(sum)) ),
inference(resolve,[$cnf( $equal(or(cin,xor(t6,and(cin,sum))),or(cin,xor(t6,and(cin,sum)))) )],[refute_0_7162,refute_0_7163]) ).
cnf(refute_0_7165,plain,
or(cin,xor(t6,and(cin,sum))) = or(cin,not(sum)),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,sum)),not(sum)) )],[refute_0_7161,refute_0_7164]) ).
cnf(refute_0_7166,plain,
not(or(cin,xor(t6,and(cin,sum)))) = not(or(cin,xor(t6,and(cin,sum)))),
introduced(tautology,[refl,[$fot(not(or(cin,xor(t6,and(cin,sum)))))]]) ).
cnf(refute_0_7167,plain,
( not(or(cin,xor(t6,and(cin,sum)))) != not(or(cin,xor(t6,and(cin,sum))))
| or(cin,xor(t6,and(cin,sum))) != or(cin,not(sum))
| not(or(cin,xor(t6,and(cin,sum)))) = not(or(cin,not(sum))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(cin,xor(t6,and(cin,sum)))),not(or(cin,xor(t6,and(cin,sum))))) ),[1,0],$fot(or(cin,not(sum)))]]) ).
cnf(refute_0_7168,plain,
( or(cin,xor(t6,and(cin,sum))) != or(cin,not(sum))
| not(or(cin,xor(t6,and(cin,sum)))) = not(or(cin,not(sum))) ),
inference(resolve,[$cnf( $equal(not(or(cin,xor(t6,and(cin,sum)))),not(or(cin,xor(t6,and(cin,sum))))) )],[refute_0_7166,refute_0_7167]) ).
cnf(refute_0_7169,plain,
not(or(cin,xor(t6,and(cin,sum)))) = not(or(cin,not(sum))),
inference(resolve,[$cnf( $equal(or(cin,xor(t6,and(cin,sum))),or(cin,not(sum))) )],[refute_0_7165,refute_0_7168]) ).
cnf(refute_0_7170,plain,
( not(or(cin,not(sum))) != and(sum,not(cin))
| not(or(cin,xor(t6,and(cin,sum)))) != not(or(cin,not(sum)))
| not(or(cin,xor(t6,and(cin,sum)))) = and(sum,not(cin)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(cin,xor(t6,and(cin,sum)))))),bind(Y0,$fot(not(or(cin,not(sum))))),bind(Z0,$fot(and(sum,not(cin))))]]) ).
cnf(refute_0_7171,plain,
( not(or(cin,not(sum))) != and(sum,not(cin))
| not(or(cin,xor(t6,and(cin,sum)))) = and(sum,not(cin)) ),
inference(resolve,[$cnf( $equal(not(or(cin,xor(t6,and(cin,sum)))),not(or(cin,not(sum)))) )],[refute_0_7169,refute_0_7170]) ).
cnf(refute_0_7172,plain,
not(or(cin,xor(t6,and(cin,sum)))) = and(sum,not(cin)),
inference(resolve,[$cnf( $equal(not(or(cin,not(sum))),and(sum,not(cin))) )],[refute_0_6216,refute_0_7171]) ).
cnf(refute_0_7173,plain,
( not(or(cin,xor(t6,and(cin,sum)))) != and(sum,not(cin))
| not(or(cin,xor(t6,and(cin,sum)))) != and(t5,xor(sum,and(cin,sum)))
| and(sum,not(cin)) = and(t5,xor(sum,and(cin,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(cin,xor(t6,and(cin,sum)))),and(t5,xor(sum,and(cin,sum)))) ),[0],$fot(and(sum,not(cin)))]]) ).
cnf(refute_0_7174,plain,
( not(or(cin,xor(t6,and(cin,sum)))) != and(t5,xor(sum,and(cin,sum)))
| and(sum,not(cin)) = and(t5,xor(sum,and(cin,sum))) ),
inference(resolve,[$cnf( $equal(not(or(cin,xor(t6,and(cin,sum)))),and(sum,not(cin))) )],[refute_0_7172,refute_0_7173]) ).
cnf(refute_0_7175,plain,
xor(sum,not(t7)) = not(xor(sum,t7)),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(sum)),bind(X_334,$fot(t7))]]) ).
cnf(refute_0_7176,plain,
( not(xor(sum,t7)) != not(t6)
| xor(sum,not(t7)) != not(xor(sum,t7))
| xor(sum,not(t7)) = not(t6) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(sum,not(t7)))),bind(Y0,$fot(not(xor(sum,t7)))),bind(Z0,$fot(not(t6)))]]) ).
cnf(refute_0_7177,plain,
( not(xor(sum,t7)) != not(t6)
| xor(sum,not(t7)) = not(t6) ),
inference(resolve,[$cnf( $equal(xor(sum,not(t7)),not(xor(sum,t7))) )],[refute_0_7175,refute_0_7176]) ).
cnf(refute_0_7178,plain,
xor(sum,not(t7)) = not(t6),
inference(resolve,[$cnf( $equal(not(xor(sum,t7)),not(t6)) )],[refute_0_6014,refute_0_7177]) ).
cnf(refute_0_7179,plain,
xor(sum,and(cin,sum)) = xor(sum,and(cin,sum)),
introduced(tautology,[refl,[$fot(xor(sum,and(cin,sum)))]]) ).
cnf(refute_0_7180,plain,
( and(cin,sum) != not(t7)
| xor(sum,and(cin,sum)) != xor(sum,and(cin,sum))
| xor(sum,and(cin,sum)) = xor(sum,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,and(cin,sum)),xor(sum,and(cin,sum))) ),[1,1],$fot(not(t7))]]) ).
cnf(refute_0_7181,plain,
( and(cin,sum) != not(t7)
| xor(sum,and(cin,sum)) = xor(sum,not(t7)) ),
inference(resolve,[$cnf( $equal(xor(sum,and(cin,sum)),xor(sum,and(cin,sum))) )],[refute_0_7179,refute_0_7180]) ).
cnf(refute_0_7182,plain,
xor(sum,and(cin,sum)) = xor(sum,not(t7)),
inference(resolve,[$cnf( $equal(and(cin,sum),not(t7)) )],[refute_0_7154,refute_0_7181]) ).
cnf(refute_0_7183,plain,
( xor(sum,and(cin,sum)) != xor(sum,not(t7))
| xor(sum,not(t7)) != not(t6)
| xor(sum,and(cin,sum)) = not(t6) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(sum,and(cin,sum)))),bind(Y0,$fot(xor(sum,not(t7)))),bind(Z0,$fot(not(t6)))]]) ).
cnf(refute_0_7184,plain,
( xor(sum,not(t7)) != not(t6)
| xor(sum,and(cin,sum)) = not(t6) ),
inference(resolve,[$cnf( $equal(xor(sum,and(cin,sum)),xor(sum,not(t7))) )],[refute_0_7182,refute_0_7183]) ).
cnf(refute_0_7185,plain,
xor(sum,and(cin,sum)) = not(t6),
inference(resolve,[$cnf( $equal(xor(sum,not(t7)),not(t6)) )],[refute_0_7178,refute_0_7184]) ).
cnf(refute_0_7186,plain,
and(t5,xor(sum,and(cin,sum))) = and(t5,xor(sum,and(cin,sum))),
introduced(tautology,[refl,[$fot(and(t5,xor(sum,and(cin,sum))))]]) ).
cnf(refute_0_7187,plain,
( and(t5,xor(sum,and(cin,sum))) != and(t5,xor(sum,and(cin,sum)))
| xor(sum,and(cin,sum)) != not(t6)
| and(t5,xor(sum,and(cin,sum))) = and(t5,not(t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,xor(sum,and(cin,sum))),and(t5,xor(sum,and(cin,sum)))) ),[1,1],$fot(not(t6))]]) ).
cnf(refute_0_7188,plain,
( xor(sum,and(cin,sum)) != not(t6)
| and(t5,xor(sum,and(cin,sum))) = and(t5,not(t6)) ),
inference(resolve,[$cnf( $equal(and(t5,xor(sum,and(cin,sum))),and(t5,xor(sum,and(cin,sum)))) )],[refute_0_7186,refute_0_7187]) ).
cnf(refute_0_7189,plain,
and(t5,xor(sum,and(cin,sum))) = and(t5,not(t6)),
inference(resolve,[$cnf( $equal(xor(sum,and(cin,sum)),not(t6)) )],[refute_0_7185,refute_0_7188]) ).
cnf(refute_0_7190,plain,
( and(t5,not(t6)) != not(t6)
| and(t5,xor(sum,and(cin,sum))) != and(t5,not(t6))
| and(t5,xor(sum,and(cin,sum))) = not(t6) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t5,xor(sum,and(cin,sum))))),bind(Y0,$fot(and(t5,not(t6)))),bind(Z0,$fot(not(t6)))]]) ).
cnf(refute_0_7191,plain,
( and(t5,not(t6)) != not(t6)
| and(t5,xor(sum,and(cin,sum))) = not(t6) ),
inference(resolve,[$cnf( $equal(and(t5,xor(sum,and(cin,sum))),and(t5,not(t6))) )],[refute_0_7189,refute_0_7190]) ).
cnf(refute_0_7192,plain,
and(t5,xor(sum,and(cin,sum))) = not(t6),
inference(resolve,[$cnf( $equal(and(t5,not(t6)),not(t6)) )],[refute_0_2003,refute_0_7191]) ).
cnf(refute_0_7193,plain,
( and(sum,not(cin)) != and(t5,xor(sum,and(cin,sum)))
| and(t5,xor(sum,and(cin,sum))) != not(t6)
| and(sum,not(cin)) = not(t6) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(sum,not(cin)),not(t6)) ),[0],$fot(and(t5,xor(sum,and(cin,sum))))]]) ).
cnf(refute_0_7194,plain,
( and(sum,not(cin)) != and(t5,xor(sum,and(cin,sum)))
| and(sum,not(cin)) = not(t6) ),
inference(resolve,[$cnf( $equal(and(t5,xor(sum,and(cin,sum))),not(t6)) )],[refute_0_7192,refute_0_7193]) ).
cnf(refute_0_7195,plain,
( not(or(cin,xor(t6,and(cin,sum)))) != and(t5,xor(sum,and(cin,sum)))
| and(sum,not(cin)) = not(t6) ),
inference(resolve,[$cnf( $equal(and(sum,not(cin)),and(t5,xor(sum,and(cin,sum)))) )],[refute_0_7174,refute_0_7194]) ).
cnf(refute_0_7196,plain,
and(sum,not(cin)) = not(t6),
inference(resolve,[$cnf( $equal(not(or(cin,xor(t6,and(cin,sum)))),and(t5,xor(sum,and(cin,sum)))) )],[refute_0_6211,refute_0_7195]) ).
cnf(refute_0_7197,plain,
( and(sum,not(cin)) != not(t6)
| and(sum,or(X_753,not(cin))) != or(and(sum,X_753),and(sum,not(cin)))
| and(sum,or(X_753,not(cin))) = or(and(sum,X_753),not(t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(sum,or(X_753,not(cin))),or(and(sum,X_753),and(sum,not(cin)))) ),[1,1],$fot(not(t6))]]) ).
cnf(refute_0_7198,plain,
( and(sum,or(X_753,not(cin))) != or(and(sum,X_753),and(sum,not(cin)))
| and(sum,or(X_753,not(cin))) = or(and(sum,X_753),not(t6)) ),
inference(resolve,[$cnf( $equal(and(sum,not(cin)),not(t6)) )],[refute_0_7196,refute_0_7197]) ).
cnf(refute_0_7199,plain,
and(sum,or(X_753,not(cin))) = or(and(sum,X_753),not(t6)),
inference(resolve,[$cnf( $equal(and(sum,or(X_753,not(cin))),or(and(sum,X_753),and(sum,not(cin)))) )],[refute_0_6047,refute_0_7198]) ).
cnf(refute_0_7200,plain,
or(and(sum,X_753),not(t6)) = or(not(t6),and(sum,X_753)),
inference(subst,[],[refute_0_5:[bind(X,$fot(not(t6))),bind(Y,$fot(and(sum,X_753)))]]) ).
cnf(refute_0_7201,plain,
( and(sum,or(X_753,not(cin))) != or(and(sum,X_753),not(t6))
| or(and(sum,X_753),not(t6)) != or(not(t6),and(sum,X_753))
| and(sum,or(X_753,not(cin))) = or(not(t6),and(sum,X_753)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(sum,or(X_753,not(cin))),or(not(t6),and(sum,X_753))) ),[0],$fot(or(and(sum,X_753),not(t6)))]]) ).
cnf(refute_0_7202,plain,
( and(sum,or(X_753,not(cin))) != or(and(sum,X_753),not(t6))
| and(sum,or(X_753,not(cin))) = or(not(t6),and(sum,X_753)) ),
inference(resolve,[$cnf( $equal(or(and(sum,X_753),not(t6)),or(not(t6),and(sum,X_753))) )],[refute_0_7200,refute_0_7201]) ).
cnf(refute_0_7203,plain,
and(sum,or(X_753,not(cin))) = or(not(t6),and(sum,X_753)),
inference(resolve,[$cnf( $equal(and(sum,or(X_753,not(cin))),or(and(sum,X_753),not(t6))) )],[refute_0_7199,refute_0_7202]) ).
cnf(refute_0_7204,plain,
( and(sum,or(X_753,not(cin))) != or(not(t6),and(sum,X_753))
| or(not(t6),and(sum,X_753)) = and(sum,or(X_753,not(cin))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(sum,or(X_753,not(cin))))),bind(Y0,$fot(or(not(t6),and(sum,X_753))))]]) ).
cnf(refute_0_7205,plain,
or(not(t6),and(sum,X_753)) = and(sum,or(X_753,not(cin))),
inference(resolve,[$cnf( $equal(and(sum,or(X_753,not(cin))),or(not(t6),and(sum,X_753))) )],[refute_0_7203,refute_0_7204]) ).
cnf(refute_0_7206,plain,
( or(and(sum,X_753),not(t6)) != or(not(t6),and(sum,X_753))
| or(not(t6),and(sum,X_753)) != and(sum,or(X_753,not(cin)))
| or(and(sum,X_753),not(t6)) = and(sum,or(X_753,not(cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(sum,X_753),not(t6)))),bind(Y0,$fot(or(not(t6),and(sum,X_753)))),bind(Z0,$fot(and(sum,or(X_753,not(cin)))))]]) ).
cnf(refute_0_7207,plain,
( or(not(t6),and(sum,X_753)) != and(sum,or(X_753,not(cin)))
| or(and(sum,X_753),not(t6)) = and(sum,or(X_753,not(cin))) ),
inference(resolve,[$cnf( $equal(or(and(sum,X_753),not(t6)),or(not(t6),and(sum,X_753))) )],[refute_0_7200,refute_0_7206]) ).
cnf(refute_0_7208,plain,
or(and(sum,X_753),not(t6)) = and(sum,or(X_753,not(cin))),
inference(resolve,[$cnf( $equal(or(not(t6),and(sum,X_753)),and(sum,or(X_753,not(cin)))) )],[refute_0_7205,refute_0_7207]) ).
cnf(refute_0_7209,plain,
( and(sum,or(X_753,t4)) != or(and(sum,X_753),not(t6))
| or(and(sum,X_753),not(t6)) != and(sum,or(X_753,not(cin)))
| and(sum,or(X_753,t4)) = and(sum,or(X_753,not(cin))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(sum,or(X_753,t4)),and(sum,or(X_753,not(cin)))) ),[0],$fot(or(and(sum,X_753),not(t6)))]]) ).
cnf(refute_0_7210,plain,
( and(sum,or(X_753,t4)) != or(and(sum,X_753),not(t6))
| and(sum,or(X_753,t4)) = and(sum,or(X_753,not(cin))) ),
inference(resolve,[$cnf( $equal(or(and(sum,X_753),not(t6)),and(sum,or(X_753,not(cin)))) )],[refute_0_7208,refute_0_7209]) ).
cnf(refute_0_7211,plain,
and(sum,or(X_753,t4)) = and(sum,or(X_753,not(cin))),
inference(resolve,[$cnf( $equal(and(sum,or(X_753,t4)),or(and(sum,X_753),not(t6))) )],[refute_0_6046,refute_0_7210]) ).
cnf(refute_0_7212,plain,
( and(sum,or(X_753,t4)) != and(sum,or(X_753,not(cin)))
| and(sum,or(X_753,not(cin))) = and(sum,or(X_753,t4)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(sum,or(X_753,t4)))),bind(Y0,$fot(and(sum,or(X_753,not(cin)))))]]) ).
cnf(refute_0_7213,plain,
and(sum,or(X_753,not(cin))) = and(sum,or(X_753,t4)),
inference(resolve,[$cnf( $equal(and(sum,or(X_753,t4)),and(sum,or(X_753,not(cin)))) )],[refute_0_7211,refute_0_7212]) ).
cnf(refute_0_7214,plain,
( and(sum,or(X_753,not(cin))) != and(sum,or(X_753,t4))
| or(not(t6),and(sum,X_753)) != and(sum,or(X_753,not(cin)))
| or(not(t6),and(sum,X_753)) = and(sum,or(X_753,t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t6),and(sum,X_753)))),bind(Y0,$fot(and(sum,or(X_753,not(cin))))),bind(Z0,$fot(and(sum,or(X_753,t4))))]]) ).
cnf(refute_0_7215,plain,
( and(sum,or(X_753,not(cin))) != and(sum,or(X_753,t4))
| or(not(t6),and(sum,X_753)) = and(sum,or(X_753,t4)) ),
inference(resolve,[$cnf( $equal(or(not(t6),and(sum,X_753)),and(sum,or(X_753,not(cin)))) )],[refute_0_7205,refute_0_7214]) ).
cnf(refute_0_7216,plain,
or(not(t6),and(sum,X_753)) = and(sum,or(X_753,t4)),
inference(resolve,[$cnf( $equal(and(sum,or(X_753,not(cin))),and(sum,or(X_753,t4))) )],[refute_0_7213,refute_0_7215]) ).
cnf(refute_0_7217,plain,
( or(and(sum,X_753),not(t6)) != or(not(t6),and(sum,X_753))
| or(not(t6),and(sum,X_753)) != and(sum,or(X_753,t4))
| or(and(sum,X_753),not(t6)) = and(sum,or(X_753,t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(sum,X_753),not(t6)))),bind(Y0,$fot(or(not(t6),and(sum,X_753)))),bind(Z0,$fot(and(sum,or(X_753,t4))))]]) ).
cnf(refute_0_7218,plain,
( or(not(t6),and(sum,X_753)) != and(sum,or(X_753,t4))
| or(and(sum,X_753),not(t6)) = and(sum,or(X_753,t4)) ),
inference(resolve,[$cnf( $equal(or(and(sum,X_753),not(t6)),or(not(t6),and(sum,X_753))) )],[refute_0_7200,refute_0_7217]) ).
cnf(refute_0_7219,plain,
or(and(sum,X_753),not(t6)) = and(sum,or(X_753,t4)),
inference(resolve,[$cnf( $equal(or(not(t6),and(sum,X_753)),and(sum,or(X_753,t4))) )],[refute_0_7216,refute_0_7218]) ).
cnf(refute_0_7220,plain,
( and(sum,or(X_753,t7)) != or(and(sum,X_753),not(t6))
| or(and(sum,X_753),not(t6)) != and(sum,or(X_753,t4))
| and(sum,or(X_753,t7)) = and(sum,or(X_753,t4)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(sum,or(X_753,t7)),and(sum,or(X_753,t4))) ),[0],$fot(or(and(sum,X_753),not(t6)))]]) ).
cnf(refute_0_7221,plain,
( and(sum,or(X_753,t7)) != or(and(sum,X_753),not(t6))
| and(sum,or(X_753,t7)) = and(sum,or(X_753,t4)) ),
inference(resolve,[$cnf( $equal(or(and(sum,X_753),not(t6)),and(sum,or(X_753,t4))) )],[refute_0_7219,refute_0_7220]) ).
cnf(refute_0_7222,plain,
and(sum,or(X_753,t7)) = and(sum,or(X_753,t4)),
inference(resolve,[$cnf( $equal(and(sum,or(X_753,t7)),or(and(sum,X_753),not(t6))) )],[refute_0_6022,refute_0_7221]) ).
cnf(refute_0_7223,plain,
and(sum,or(a,t7)) = and(sum,or(a,t4)),
inference(subst,[],[refute_0_7222:[bind(X_753,$fot(a))]]) ).
cnf(refute_0_7224,plain,
( and(sum,or(a,t4)) != and(sum,or(a,b))
| and(sum,or(a,t7)) != and(sum,or(a,t4))
| and(sum,or(a,t7)) = and(sum,or(a,b)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(sum,or(a,t7)))),bind(Y0,$fot(and(sum,or(a,t4)))),bind(Z0,$fot(and(sum,or(a,b))))]]) ).
cnf(refute_0_7225,plain,
( and(sum,or(a,t4)) != and(sum,or(a,b))
| and(sum,or(a,t7)) = and(sum,or(a,b)) ),
inference(resolve,[$cnf( $equal(and(sum,or(a,t7)),and(sum,or(a,t4))) )],[refute_0_7223,refute_0_7224]) ).
cnf(refute_0_7226,plain,
and(sum,or(a,t7)) = and(sum,or(a,b)),
inference(resolve,[$cnf( $equal(and(sum,or(a,t4)),and(sum,or(a,b))) )],[refute_0_6009,refute_0_7225]) ).
cnf(refute_0_7227,plain,
or(and(t6,not(xor(sum,or(t1,and(t3,t7))))),and(not(t6),xor(sum,or(t1,and(t3,t7))))) = xor(t6,xor(sum,or(t1,and(t3,t7)))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t6)),bind(Y,$fot(xor(sum,or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_7228,plain,
ll0 = xor(or(t6,not(xor(sum,or(t1,and(t3,t7))))),or(not(xor(sum,or(t1,and(t3,t7)))),t6)),
inference(subst,[],[refute_0_131:[bind(X_146,$fot(not(xor(sum,or(t1,and(t3,t7)))))),bind(X_147,$fot(t6))]]) ).
cnf(refute_0_7229,plain,
ll1 = or(X_53,or(not(X_53),not(Y))),
inference(subst,[],[refute_0_632:[bind(X_37,$fot(X_53)),bind(X_39,$fot(not(Y)))]]) ).
cnf(refute_0_7230,plain,
not(and(X_53,Y)) = or(not(X_53),not(Y)),
inference(subst,[],[and_demorgan:[bind(X,$fot(X_53))]]) ).
cnf(refute_0_7231,plain,
( not(and(X_53,Y)) != or(not(X_53),not(Y))
| or(not(X_53),not(Y)) = not(and(X_53,Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(X_53,Y)))),bind(Y0,$fot(or(not(X_53),not(Y))))]]) ).
cnf(refute_0_7232,plain,
or(not(X_53),not(Y)) = not(and(X_53,Y)),
inference(resolve,[$cnf( $equal(not(and(X_53,Y)),or(not(X_53),not(Y))) )],[refute_0_7230,refute_0_7231]) ).
cnf(refute_0_7233,plain,
( ll1 != or(X_53,or(not(X_53),not(Y)))
| or(not(X_53),not(Y)) != not(and(X_53,Y))
| ll1 = or(X_53,not(and(X_53,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(X_53,or(not(X_53),not(Y)))) ),[1,1],$fot(not(and(X_53,Y)))]]) ).
cnf(refute_0_7234,plain,
( ll1 != or(X_53,or(not(X_53),not(Y)))
| ll1 = or(X_53,not(and(X_53,Y))) ),
inference(resolve,[$cnf( $equal(or(not(X_53),not(Y)),not(and(X_53,Y))) )],[refute_0_7232,refute_0_7233]) ).
cnf(refute_0_7235,plain,
ll1 = or(X_53,not(and(X_53,Y))),
inference(resolve,[$cnf( $equal(ll1,or(X_53,or(not(X_53),not(Y)))) )],[refute_0_7229,refute_0_7234]) ).
cnf(refute_0_7236,plain,
ll1 = or(t6,not(and(t6,not(xor(t7,or(t1,and(t3,t7))))))),
inference(subst,[],[refute_0_7235:[bind(Y,$fot(not(xor(t7,or(t1,and(t3,t7)))))),bind(X_53,$fot(t6))]]) ).
cnf(refute_0_7237,plain,
or(and(t6,not(xor(t7,or(t1,and(t3,t7))))),and(not(t6),xor(t7,or(t1,and(t3,t7))))) = xor(t6,xor(t7,or(t1,and(t3,t7)))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t6)),bind(Y,$fot(xor(t7,or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_7238,plain,
ll0 = xor(or(t6,not(xor(t7,or(t1,and(t3,t7))))),or(not(xor(t7,or(t1,and(t3,t7)))),t6)),
inference(subst,[],[refute_0_131:[bind(X_146,$fot(not(xor(t7,or(t1,and(t3,t7)))))),bind(X_147,$fot(t6))]]) ).
cnf(refute_0_7239,plain,
or(or(t6,not(t4)),X_39) = or(t6,or(not(t4),X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(t6)),bind(Y,$fot(not(t4))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_7240,plain,
or(t6,and(t6,not(t4))) = t6,
inference(subst,[],[or_absorption:[bind(X,$fot(t6)),bind(Y,$fot(not(t4)))]]) ).
cnf(refute_0_7241,plain,
not(or(t4,not(t6))) = not(or(not(t6),t4)),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(not(t6))),bind(X_26,$fot(t4))]]) ).
cnf(refute_0_7242,plain,
or(t4,and(t4,t5)) = t4,
inference(subst,[],[or_absorption:[bind(X,$fot(t4)),bind(Y,$fot(t5))]]) ).
cnf(refute_0_7243,plain,
( and(t4,t5) != not(t6)
| or(t4,and(t4,t5)) != t4
| or(t4,not(t6)) = t4 ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,and(t4,t5)),t4) ),[0,1],$fot(not(t6))]]) ).
cnf(refute_0_7244,plain,
( or(t4,and(t4,t5)) != t4
| or(t4,not(t6)) = t4 ),
inference(resolve,[$cnf( $equal(and(t4,t5),not(t6)) )],[refute_0_664,refute_0_7243]) ).
cnf(refute_0_7245,plain,
or(t4,not(t6)) = t4,
inference(resolve,[$cnf( $equal(or(t4,and(t4,t5)),t4) )],[refute_0_7242,refute_0_7244]) ).
cnf(refute_0_7246,plain,
( not(or(t4,not(t6))) != not(or(not(t6),t4))
| or(t4,not(t6)) != t4
| not(t4) = not(or(not(t6),t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t4,not(t6))),not(or(not(t6),t4))) ),[0,0],$fot(t4)]]) ).
cnf(refute_0_7247,plain,
( not(or(t4,not(t6))) != not(or(not(t6),t4))
| not(t4) = not(or(not(t6),t4)) ),
inference(resolve,[$cnf( $equal(or(t4,not(t6)),t4) )],[refute_0_7245,refute_0_7246]) ).
cnf(refute_0_7248,plain,
not(t4) = not(or(not(t6),t4)),
inference(resolve,[$cnf( $equal(not(or(t4,not(t6))),not(or(not(t6),t4))) )],[refute_0_7241,refute_0_7247]) ).
cnf(refute_0_7249,plain,
not(or(not(t6),t4)) = and(t6,not(t4)),
inference(subst,[],[refute_0_159:[bind(X,$fot(t6)),bind(X_26,$fot(t4))]]) ).
cnf(refute_0_7250,plain,
( not(or(not(t6),t4)) != and(t6,not(t4))
| not(t4) != not(or(not(t6),t4))
| not(t4) = and(t6,not(t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(t4),not(or(not(t6),t4))) ),[1],$fot(and(t6,not(t4)))]]) ).
cnf(refute_0_7251,plain,
( not(t4) != not(or(not(t6),t4))
| not(t4) = and(t6,not(t4)) ),
inference(resolve,[$cnf( $equal(not(or(not(t6),t4)),and(t6,not(t4))) )],[refute_0_7249,refute_0_7250]) ).
cnf(refute_0_7252,plain,
not(t4) = and(t6,not(t4)),
inference(resolve,[$cnf( $equal(not(t4),not(or(not(t6),t4))) )],[refute_0_7248,refute_0_7251]) ).
cnf(refute_0_7253,plain,
( not(t4) != and(t6,not(t4))
| and(t6,not(t4)) = not(t4) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t4))),bind(Y0,$fot(and(t6,not(t4))))]]) ).
cnf(refute_0_7254,plain,
and(t6,not(t4)) = not(t4),
inference(resolve,[$cnf( $equal(not(t4),and(t6,not(t4))) )],[refute_0_7252,refute_0_7253]) ).
cnf(refute_0_7255,plain,
( and(t6,not(t4)) != not(t4)
| or(t6,and(t6,not(t4))) != t6
| or(t6,not(t4)) = t6 ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,and(t6,not(t4))),t6) ),[0,1],$fot(not(t4))]]) ).
cnf(refute_0_7256,plain,
( or(t6,and(t6,not(t4))) != t6
| or(t6,not(t4)) = t6 ),
inference(resolve,[$cnf( $equal(and(t6,not(t4)),not(t4)) )],[refute_0_7254,refute_0_7255]) ).
cnf(refute_0_7257,plain,
or(t6,not(t4)) = t6,
inference(resolve,[$cnf( $equal(or(t6,and(t6,not(t4))),t6) )],[refute_0_7240,refute_0_7256]) ).
cnf(refute_0_7258,plain,
( or(or(t6,not(t4)),X_39) != or(t6,or(not(t4),X_39))
| or(t6,not(t4)) != t6
| or(t6,X_39) = or(t6,or(not(t4),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t6,not(t4)),X_39),or(t6,or(not(t4),X_39))) ),[0,0],$fot(t6)]]) ).
cnf(refute_0_7259,plain,
( or(or(t6,not(t4)),X_39) != or(t6,or(not(t4),X_39))
| or(t6,X_39) = or(t6,or(not(t4),X_39)) ),
inference(resolve,[$cnf( $equal(or(t6,not(t4)),t6) )],[refute_0_7257,refute_0_7258]) ).
cnf(refute_0_7260,plain,
or(t6,X_39) = or(t6,or(not(t4),X_39)),
inference(resolve,[$cnf( $equal(or(or(t6,not(t4)),X_39),or(t6,or(not(t4),X_39))) )],[refute_0_7239,refute_0_7259]) ).
cnf(refute_0_7261,plain,
or(t6,not(and(X_34,or(not(t4),not(X_34))))) = or(t6,or(not(t4),not(and(X_34,or(not(t4),not(X_34)))))),
inference(subst,[],[refute_0_7260:[bind(X_39,$fot(not(and(X_34,or(not(t4),not(X_34))))))]]) ).
cnf(refute_0_7262,plain,
or(and(not(X_33),X_34),not(and(not(X_33),X_34))) = ll1,
inference(subst,[],[or_complement:[bind(X,$fot(and(not(X_33),X_34)))]]) ).
cnf(refute_0_7263,plain,
( not(and(not(X_33),X_34)) != or(X_33,not(X_34))
| or(and(not(X_33),X_34),not(and(not(X_33),X_34))) != ll1
| or(and(not(X_33),X_34),or(X_33,not(X_34))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(and(not(X_33),X_34),not(and(not(X_33),X_34))),ll1) ),[0,1],$fot(or(X_33,not(X_34)))]]) ).
cnf(refute_0_7264,plain,
( or(and(not(X_33),X_34),not(and(not(X_33),X_34))) != ll1
| or(and(not(X_33),X_34),or(X_33,not(X_34))) = ll1 ),
inference(resolve,[$cnf( $equal(not(and(not(X_33),X_34)),or(X_33,not(X_34))) )],[refute_0_5524,refute_0_7263]) ).
cnf(refute_0_7265,plain,
or(and(not(X_33),X_34),or(X_33,not(X_34))) = ll1,
inference(resolve,[$cnf( $equal(or(and(not(X_33),X_34),not(and(not(X_33),X_34))),ll1) )],[refute_0_7262,refute_0_7264]) ).
cnf(refute_0_7266,plain,
not(and(or(X_33,not(X_34)),X_34)) = not(and(X_34,or(X_33,not(X_34)))),
inference(subst,[],[refute_0_333:[bind(X_31,$fot(or(X_33,not(X_34)))),bind(X_32,$fot(X_34))]]) ).
cnf(refute_0_7267,plain,
not(and(not(and(not(X_33),X_34)),X_32)) = or(and(not(X_33),X_34),not(X_32)),
inference(subst,[],[refute_0_787:[bind(X,$fot(and(not(X_33),X_34)))]]) ).
cnf(refute_0_7268,plain,
( not(and(not(X_33),X_34)) != or(X_33,not(X_34))
| not(and(not(and(not(X_33),X_34)),X_32)) != or(and(not(X_33),X_34),not(X_32))
| not(and(or(X_33,not(X_34)),X_32)) = or(and(not(X_33),X_34),not(X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(and(not(X_33),X_34)),X_32)),or(and(not(X_33),X_34),not(X_32))) ),[0,0,0],$fot(or(X_33,not(X_34)))]]) ).
cnf(refute_0_7269,plain,
( not(and(not(and(not(X_33),X_34)),X_32)) != or(and(not(X_33),X_34),not(X_32))
| not(and(or(X_33,not(X_34)),X_32)) = or(and(not(X_33),X_34),not(X_32)) ),
inference(resolve,[$cnf( $equal(not(and(not(X_33),X_34)),or(X_33,not(X_34))) )],[refute_0_5524,refute_0_7268]) ).
cnf(refute_0_7270,plain,
not(and(or(X_33,not(X_34)),X_32)) = or(and(not(X_33),X_34),not(X_32)),
inference(resolve,[$cnf( $equal(not(and(not(and(not(X_33),X_34)),X_32)),or(and(not(X_33),X_34),not(X_32))) )],[refute_0_7267,refute_0_7269]) ).
cnf(refute_0_7271,plain,
( not(and(or(X_33,not(X_34)),X_32)) != or(and(not(X_33),X_34),not(X_32))
| or(and(not(X_33),X_34),not(X_32)) = not(and(or(X_33,not(X_34)),X_32)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(or(X_33,not(X_34)),X_32)))),bind(Y0,$fot(or(and(not(X_33),X_34),not(X_32))))]]) ).
cnf(refute_0_7272,plain,
or(and(not(X_33),X_34),not(X_32)) = not(and(or(X_33,not(X_34)),X_32)),
inference(resolve,[$cnf( $equal(not(and(or(X_33,not(X_34)),X_32)),or(and(not(X_33),X_34),not(X_32))) )],[refute_0_7270,refute_0_7271]) ).
cnf(refute_0_7273,plain,
or(and(not(X_33),X_34),not(X_34)) = not(and(or(X_33,not(X_34)),X_34)),
inference(subst,[],[refute_0_7272:[bind(X_32,$fot(X_34))]]) ).
cnf(refute_0_7274,plain,
( not(and(or(X_33,not(X_34)),X_34)) != not(and(X_34,or(X_33,not(X_34))))
| or(and(not(X_33),X_34),not(X_34)) != not(and(or(X_33,not(X_34)),X_34))
| or(and(not(X_33),X_34),not(X_34)) = not(and(X_34,or(X_33,not(X_34)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(not(X_33),X_34),not(X_34)))),bind(Y0,$fot(not(and(or(X_33,not(X_34)),X_34)))),bind(Z0,$fot(not(and(X_34,or(X_33,not(X_34))))))]]) ).
cnf(refute_0_7275,plain,
( not(and(or(X_33,not(X_34)),X_34)) != not(and(X_34,or(X_33,not(X_34))))
| or(and(not(X_33),X_34),not(X_34)) = not(and(X_34,or(X_33,not(X_34)))) ),
inference(resolve,[$cnf( $equal(or(and(not(X_33),X_34),not(X_34)),not(and(or(X_33,not(X_34)),X_34))) )],[refute_0_7273,refute_0_7274]) ).
cnf(refute_0_7276,plain,
or(and(not(X_33),X_34),not(X_34)) = not(and(X_34,or(X_33,not(X_34)))),
inference(resolve,[$cnf( $equal(not(and(or(X_33,not(X_34)),X_34)),not(and(X_34,or(X_33,not(X_34))))) )],[refute_0_7266,refute_0_7275]) ).
cnf(refute_0_7277,plain,
or(X_33,or(and(not(X_33),X_34),not(X_34))) = or(X_33,or(and(not(X_33),X_34),not(X_34))),
introduced(tautology,[refl,[$fot(or(X_33,or(and(not(X_33),X_34),not(X_34))))]]) ).
cnf(refute_0_7278,plain,
( or(X_33,or(and(not(X_33),X_34),not(X_34))) != or(X_33,or(and(not(X_33),X_34),not(X_34)))
| or(and(not(X_33),X_34),not(X_34)) != not(and(X_34,or(X_33,not(X_34))))
| or(X_33,or(and(not(X_33),X_34),not(X_34))) = or(X_33,not(and(X_34,or(X_33,not(X_34))))) ),
introduced(tautology,[equality,[$cnf( $equal(or(X_33,or(and(not(X_33),X_34),not(X_34))),or(X_33,or(and(not(X_33),X_34),not(X_34)))) ),[1,1],$fot(not(and(X_34,or(X_33,not(X_34)))))]]) ).
cnf(refute_0_7279,plain,
( or(and(not(X_33),X_34),not(X_34)) != not(and(X_34,or(X_33,not(X_34))))
| or(X_33,or(and(not(X_33),X_34),not(X_34))) = or(X_33,not(and(X_34,or(X_33,not(X_34))))) ),
inference(resolve,[$cnf( $equal(or(X_33,or(and(not(X_33),X_34),not(X_34))),or(X_33,or(and(not(X_33),X_34),not(X_34)))) )],[refute_0_7277,refute_0_7278]) ).
cnf(refute_0_7280,plain,
or(X_33,or(and(not(X_33),X_34),not(X_34))) = or(X_33,not(and(X_34,or(X_33,not(X_34))))),
inference(resolve,[$cnf( $equal(or(and(not(X_33),X_34),not(X_34)),not(and(X_34,or(X_33,not(X_34))))) )],[refute_0_7276,refute_0_7279]) ).
cnf(refute_0_7281,plain,
not(and(not(or(X_25,X_26)),X_34)) = or(or(X_25,X_26),not(X_34)),
inference(subst,[],[refute_0_787:[bind(X,$fot(or(X_25,X_26))),bind(X_32,$fot(X_34))]]) ).
cnf(refute_0_7282,plain,
( not(and(not(or(X_25,X_26)),X_34)) != or(or(X_25,X_26),not(X_34))
| not(or(X_25,X_26)) != not(or(X_26,X_25))
| not(and(not(or(X_26,X_25)),X_34)) = or(or(X_25,X_26),not(X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(or(X_25,X_26)),X_34)),or(or(X_25,X_26),not(X_34))) ),[0,0,0],$fot(not(or(X_26,X_25)))]]) ).
cnf(refute_0_7283,plain,
( not(and(not(or(X_25,X_26)),X_34)) != or(or(X_25,X_26),not(X_34))
| not(and(not(or(X_26,X_25)),X_34)) = or(or(X_25,X_26),not(X_34)) ),
inference(resolve,[$cnf( $equal(not(or(X_25,X_26)),not(or(X_26,X_25))) )],[refute_0_562,refute_0_7282]) ).
cnf(refute_0_7284,plain,
not(and(not(or(X_26,X_25)),X_34)) = or(or(X_25,X_26),not(X_34)),
inference(resolve,[$cnf( $equal(not(and(not(or(X_25,X_26)),X_34)),or(or(X_25,X_26),not(X_34))) )],[refute_0_7281,refute_0_7283]) ).
cnf(refute_0_7285,plain,
or(or(X_26,X_25),not(X_34)) = or(X_26,or(X_25,not(X_34))),
inference(subst,[],[or_associative:[bind(X,$fot(X_26)),bind(Y,$fot(X_25)),bind(Z,$fot(not(X_34)))]]) ).
cnf(refute_0_7286,plain,
not(and(not(or(X_26,X_25)),X_34)) = or(or(X_26,X_25),not(X_34)),
inference(subst,[],[refute_0_787:[bind(X,$fot(or(X_26,X_25))),bind(X_32,$fot(X_34))]]) ).
cnf(refute_0_7287,plain,
( not(and(not(or(X_26,X_25)),X_34)) != or(or(X_26,X_25),not(X_34))
| or(or(X_26,X_25),not(X_34)) != or(X_26,or(X_25,not(X_34)))
| not(and(not(or(X_26,X_25)),X_34)) = or(X_26,or(X_25,not(X_34))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(not(or(X_26,X_25)),X_34)))),bind(Y0,$fot(or(or(X_26,X_25),not(X_34)))),bind(Z0,$fot(or(X_26,or(X_25,not(X_34)))))]]) ).
cnf(refute_0_7288,plain,
( or(or(X_26,X_25),not(X_34)) != or(X_26,or(X_25,not(X_34)))
| not(and(not(or(X_26,X_25)),X_34)) = or(X_26,or(X_25,not(X_34))) ),
inference(resolve,[$cnf( $equal(not(and(not(or(X_26,X_25)),X_34)),or(or(X_26,X_25),not(X_34))) )],[refute_0_7286,refute_0_7287]) ).
cnf(refute_0_7289,plain,
not(and(not(or(X_26,X_25)),X_34)) = or(X_26,or(X_25,not(X_34))),
inference(resolve,[$cnf( $equal(or(or(X_26,X_25),not(X_34)),or(X_26,or(X_25,not(X_34)))) )],[refute_0_7285,refute_0_7288]) ).
cnf(refute_0_7290,plain,
( not(and(not(or(X_26,X_25)),X_34)) != or(X_26,or(X_25,not(X_34)))
| not(and(not(or(X_26,X_25)),X_34)) != or(or(X_25,X_26),not(X_34))
| or(X_26,or(X_25,not(X_34))) = or(or(X_25,X_26),not(X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(or(X_26,X_25)),X_34)),or(or(X_25,X_26),not(X_34))) ),[0],$fot(or(X_26,or(X_25,not(X_34))))]]) ).
cnf(refute_0_7291,plain,
( not(and(not(or(X_26,X_25)),X_34)) != or(or(X_25,X_26),not(X_34))
| or(X_26,or(X_25,not(X_34))) = or(or(X_25,X_26),not(X_34)) ),
inference(resolve,[$cnf( $equal(not(and(not(or(X_26,X_25)),X_34)),or(X_26,or(X_25,not(X_34)))) )],[refute_0_7289,refute_0_7290]) ).
cnf(refute_0_7292,plain,
or(or(X_25,X_26),not(X_34)) = or(X_25,or(X_26,not(X_34))),
inference(subst,[],[or_associative:[bind(X,$fot(X_25)),bind(Y,$fot(X_26)),bind(Z,$fot(not(X_34)))]]) ).
cnf(refute_0_7293,plain,
( or(X_26,or(X_25,not(X_34))) != or(or(X_25,X_26),not(X_34))
| or(or(X_25,X_26),not(X_34)) != or(X_25,or(X_26,not(X_34)))
| or(X_26,or(X_25,not(X_34))) = or(X_25,or(X_26,not(X_34))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(X_26,or(X_25,not(X_34))),or(X_25,or(X_26,not(X_34)))) ),[0],$fot(or(or(X_25,X_26),not(X_34)))]]) ).
cnf(refute_0_7294,plain,
( or(X_26,or(X_25,not(X_34))) != or(or(X_25,X_26),not(X_34))
| or(X_26,or(X_25,not(X_34))) = or(X_25,or(X_26,not(X_34))) ),
inference(resolve,[$cnf( $equal(or(or(X_25,X_26),not(X_34)),or(X_25,or(X_26,not(X_34)))) )],[refute_0_7292,refute_0_7293]) ).
cnf(refute_0_7295,plain,
( not(and(not(or(X_26,X_25)),X_34)) != or(or(X_25,X_26),not(X_34))
| or(X_26,or(X_25,not(X_34))) = or(X_25,or(X_26,not(X_34))) ),
inference(resolve,[$cnf( $equal(or(X_26,or(X_25,not(X_34))),or(or(X_25,X_26),not(X_34))) )],[refute_0_7291,refute_0_7294]) ).
cnf(refute_0_7296,plain,
or(X_26,or(X_25,not(X_34))) = or(X_25,or(X_26,not(X_34))),
inference(resolve,[$cnf( $equal(not(and(not(or(X_26,X_25)),X_34)),or(or(X_25,X_26),not(X_34))) )],[refute_0_7284,refute_0_7295]) ).
cnf(refute_0_7297,plain,
( or(X_26,or(X_25,not(X_34))) != or(X_25,or(X_26,not(X_34)))
| or(X_25,or(X_26,not(X_34))) = or(X_26,or(X_25,not(X_34))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(X_26,or(X_25,not(X_34))))),bind(Y0,$fot(or(X_25,or(X_26,not(X_34)))))]]) ).
cnf(refute_0_7298,plain,
or(X_25,or(X_26,not(X_34))) = or(X_26,or(X_25,not(X_34))),
inference(resolve,[$cnf( $equal(or(X_26,or(X_25,not(X_34))),or(X_25,or(X_26,not(X_34)))) )],[refute_0_7296,refute_0_7297]) ).
cnf(refute_0_7299,plain,
or(and(not(X_33),X_34),or(X_33,not(X_34))) = or(X_33,or(and(not(X_33),X_34),not(X_34))),
inference(subst,[],[refute_0_7298:[bind(X_25,$fot(and(not(X_33),X_34))),bind(X_26,$fot(X_33))]]) ).
cnf(refute_0_7300,plain,
( or(X_33,or(and(not(X_33),X_34),not(X_34))) != or(X_33,not(and(X_34,or(X_33,not(X_34)))))
| or(and(not(X_33),X_34),or(X_33,not(X_34))) != or(X_33,or(and(not(X_33),X_34),not(X_34)))
| or(and(not(X_33),X_34),or(X_33,not(X_34))) = or(X_33,not(and(X_34,or(X_33,not(X_34))))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(not(X_33),X_34),or(X_33,not(X_34))))),bind(Y0,$fot(or(X_33,or(and(not(X_33),X_34),not(X_34))))),bind(Z0,$fot(or(X_33,not(and(X_34,or(X_33,not(X_34)))))))]]) ).
cnf(refute_0_7301,plain,
( or(X_33,or(and(not(X_33),X_34),not(X_34))) != or(X_33,not(and(X_34,or(X_33,not(X_34)))))
| or(and(not(X_33),X_34),or(X_33,not(X_34))) = or(X_33,not(and(X_34,or(X_33,not(X_34))))) ),
inference(resolve,[$cnf( $equal(or(and(not(X_33),X_34),or(X_33,not(X_34))),or(X_33,or(and(not(X_33),X_34),not(X_34)))) )],[refute_0_7299,refute_0_7300]) ).
cnf(refute_0_7302,plain,
or(and(not(X_33),X_34),or(X_33,not(X_34))) = or(X_33,not(and(X_34,or(X_33,not(X_34))))),
inference(resolve,[$cnf( $equal(or(X_33,or(and(not(X_33),X_34),not(X_34))),or(X_33,not(and(X_34,or(X_33,not(X_34)))))) )],[refute_0_7280,refute_0_7301]) ).
cnf(refute_0_7303,plain,
( or(and(not(X_33),X_34),or(X_33,not(X_34))) != ll1
| or(and(not(X_33),X_34),or(X_33,not(X_34))) != or(X_33,not(and(X_34,or(X_33,not(X_34)))))
| or(X_33,not(and(X_34,or(X_33,not(X_34))))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(and(not(X_33),X_34),or(X_33,not(X_34))),ll1) ),[0],$fot(or(X_33,not(and(X_34,or(X_33,not(X_34))))))]]) ).
cnf(refute_0_7304,plain,
( or(and(not(X_33),X_34),or(X_33,not(X_34))) != ll1
| or(X_33,not(and(X_34,or(X_33,not(X_34))))) = ll1 ),
inference(resolve,[$cnf( $equal(or(and(not(X_33),X_34),or(X_33,not(X_34))),or(X_33,not(and(X_34,or(X_33,not(X_34)))))) )],[refute_0_7302,refute_0_7303]) ).
cnf(refute_0_7305,plain,
or(X_33,not(and(X_34,or(X_33,not(X_34))))) = ll1,
inference(resolve,[$cnf( $equal(or(and(not(X_33),X_34),or(X_33,not(X_34))),ll1) )],[refute_0_7265,refute_0_7304]) ).
cnf(refute_0_7306,plain,
or(not(t4),not(and(X_34,or(not(t4),not(X_34))))) = ll1,
inference(subst,[],[refute_0_7305:[bind(X_33,$fot(not(t4)))]]) ).
cnf(refute_0_7307,plain,
( or(not(t4),not(and(X_34,or(not(t4),not(X_34))))) != ll1
| or(t6,not(and(X_34,or(not(t4),not(X_34))))) != or(t6,or(not(t4),not(and(X_34,or(not(t4),not(X_34))))))
| or(t6,not(and(X_34,or(not(t4),not(X_34))))) = or(t6,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,not(and(X_34,or(not(t4),not(X_34))))),or(t6,or(not(t4),not(and(X_34,or(not(t4),not(X_34))))))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_7308,plain,
( or(t6,not(and(X_34,or(not(t4),not(X_34))))) != or(t6,or(not(t4),not(and(X_34,or(not(t4),not(X_34))))))
| or(t6,not(and(X_34,or(not(t4),not(X_34))))) = or(t6,ll1) ),
inference(resolve,[$cnf( $equal(or(not(t4),not(and(X_34,or(not(t4),not(X_34))))),ll1) )],[refute_0_7306,refute_0_7307]) ).
cnf(refute_0_7309,plain,
or(t6,not(and(X_34,or(not(t4),not(X_34))))) = or(t6,ll1),
inference(resolve,[$cnf( $equal(or(t6,not(and(X_34,or(not(t4),not(X_34))))),or(t6,or(not(t4),not(and(X_34,or(not(t4),not(X_34))))))) )],[refute_0_7261,refute_0_7308]) ).
cnf(refute_0_7310,plain,
not(and(X_34,not(and(t4,X_34)))) = or(not(X_34),and(t4,X_34)),
inference(subst,[],[refute_0_435:[bind(X_29,$fot(X_34)),bind(X_30,$fot(and(t4,X_34)))]]) ).
cnf(refute_0_7311,plain,
or(not(t4),not(X_34)) = not(and(t4,X_34)),
inference(subst,[],[refute_0_147:[bind(X,$fot(t4)),bind(Y,$fot(X_34))]]) ).
cnf(refute_0_7312,plain,
and(X_34,or(not(t4),not(X_34))) = and(X_34,or(not(t4),not(X_34))),
introduced(tautology,[refl,[$fot(and(X_34,or(not(t4),not(X_34))))]]) ).
cnf(refute_0_7313,plain,
( and(X_34,or(not(t4),not(X_34))) != and(X_34,or(not(t4),not(X_34)))
| or(not(t4),not(X_34)) != not(and(t4,X_34))
| and(X_34,or(not(t4),not(X_34))) = and(X_34,not(and(t4,X_34))) ),
introduced(tautology,[equality,[$cnf( $equal(and(X_34,or(not(t4),not(X_34))),and(X_34,or(not(t4),not(X_34)))) ),[1,1],$fot(not(and(t4,X_34)))]]) ).
cnf(refute_0_7314,plain,
( or(not(t4),not(X_34)) != not(and(t4,X_34))
| and(X_34,or(not(t4),not(X_34))) = and(X_34,not(and(t4,X_34))) ),
inference(resolve,[$cnf( $equal(and(X_34,or(not(t4),not(X_34))),and(X_34,or(not(t4),not(X_34)))) )],[refute_0_7312,refute_0_7313]) ).
cnf(refute_0_7315,plain,
and(X_34,or(not(t4),not(X_34))) = and(X_34,not(and(t4,X_34))),
inference(resolve,[$cnf( $equal(or(not(t4),not(X_34)),not(and(t4,X_34))) )],[refute_0_7311,refute_0_7314]) ).
cnf(refute_0_7316,plain,
not(and(X_34,or(not(t4),not(X_34)))) = not(and(X_34,or(not(t4),not(X_34)))),
introduced(tautology,[refl,[$fot(not(and(X_34,or(not(t4),not(X_34)))))]]) ).
cnf(refute_0_7317,plain,
( and(X_34,or(not(t4),not(X_34))) != and(X_34,not(and(t4,X_34)))
| not(and(X_34,or(not(t4),not(X_34)))) != not(and(X_34,or(not(t4),not(X_34))))
| not(and(X_34,or(not(t4),not(X_34)))) = not(and(X_34,not(and(t4,X_34)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X_34,or(not(t4),not(X_34)))),not(and(X_34,or(not(t4),not(X_34))))) ),[1,0],$fot(and(X_34,not(and(t4,X_34))))]]) ).
cnf(refute_0_7318,plain,
( and(X_34,or(not(t4),not(X_34))) != and(X_34,not(and(t4,X_34)))
| not(and(X_34,or(not(t4),not(X_34)))) = not(and(X_34,not(and(t4,X_34)))) ),
inference(resolve,[$cnf( $equal(not(and(X_34,or(not(t4),not(X_34)))),not(and(X_34,or(not(t4),not(X_34))))) )],[refute_0_7316,refute_0_7317]) ).
cnf(refute_0_7319,plain,
not(and(X_34,or(not(t4),not(X_34)))) = not(and(X_34,not(and(t4,X_34)))),
inference(resolve,[$cnf( $equal(and(X_34,or(not(t4),not(X_34))),and(X_34,not(and(t4,X_34)))) )],[refute_0_7315,refute_0_7318]) ).
cnf(refute_0_7320,plain,
( not(and(X_34,not(and(t4,X_34)))) != or(not(X_34),and(t4,X_34))
| not(and(X_34,or(not(t4),not(X_34)))) != not(and(X_34,not(and(t4,X_34))))
| not(and(X_34,or(not(t4),not(X_34)))) = or(not(X_34),and(t4,X_34)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(X_34,or(not(t4),not(X_34)))))),bind(Y0,$fot(not(and(X_34,not(and(t4,X_34)))))),bind(Z0,$fot(or(not(X_34),and(t4,X_34))))]]) ).
cnf(refute_0_7321,plain,
( not(and(X_34,not(and(t4,X_34)))) != or(not(X_34),and(t4,X_34))
| not(and(X_34,or(not(t4),not(X_34)))) = or(not(X_34),and(t4,X_34)) ),
inference(resolve,[$cnf( $equal(not(and(X_34,or(not(t4),not(X_34)))),not(and(X_34,not(and(t4,X_34))))) )],[refute_0_7319,refute_0_7320]) ).
cnf(refute_0_7322,plain,
not(and(X_34,or(not(t4),not(X_34)))) = or(not(X_34),and(t4,X_34)),
inference(resolve,[$cnf( $equal(not(and(X_34,not(and(t4,X_34)))),or(not(X_34),and(t4,X_34))) )],[refute_0_7310,refute_0_7321]) ).
cnf(refute_0_7323,plain,
or(t6,not(and(X_34,or(not(t4),not(X_34))))) = or(t6,not(and(X_34,or(not(t4),not(X_34))))),
introduced(tautology,[refl,[$fot(or(t6,not(and(X_34,or(not(t4),not(X_34))))))]]) ).
cnf(refute_0_7324,plain,
( not(and(X_34,or(not(t4),not(X_34)))) != or(not(X_34),and(t4,X_34))
| or(t6,not(and(X_34,or(not(t4),not(X_34))))) != or(t6,not(and(X_34,or(not(t4),not(X_34)))))
| or(t6,not(and(X_34,or(not(t4),not(X_34))))) = or(t6,or(not(X_34),and(t4,X_34))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,not(and(X_34,or(not(t4),not(X_34))))),or(t6,not(and(X_34,or(not(t4),not(X_34)))))) ),[1,1],$fot(or(not(X_34),and(t4,X_34)))]]) ).
cnf(refute_0_7325,plain,
( not(and(X_34,or(not(t4),not(X_34)))) != or(not(X_34),and(t4,X_34))
| or(t6,not(and(X_34,or(not(t4),not(X_34))))) = or(t6,or(not(X_34),and(t4,X_34))) ),
inference(resolve,[$cnf( $equal(or(t6,not(and(X_34,or(not(t4),not(X_34))))),or(t6,not(and(X_34,or(not(t4),not(X_34)))))) )],[refute_0_7323,refute_0_7324]) ).
cnf(refute_0_7326,plain,
or(t6,not(and(X_34,or(not(t4),not(X_34))))) = or(t6,or(not(X_34),and(t4,X_34))),
inference(resolve,[$cnf( $equal(not(and(X_34,or(not(t4),not(X_34)))),or(not(X_34),and(t4,X_34))) )],[refute_0_7322,refute_0_7325]) ).
cnf(refute_0_7327,plain,
( or(t6,not(and(X_34,or(not(t4),not(X_34))))) != or(t6,ll1)
| or(t6,not(and(X_34,or(not(t4),not(X_34))))) != or(t6,or(not(X_34),and(t4,X_34)))
| or(t6,or(not(X_34),and(t4,X_34))) = or(t6,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,not(and(X_34,or(not(t4),not(X_34))))),or(t6,ll1)) ),[0],$fot(or(t6,or(not(X_34),and(t4,X_34))))]]) ).
cnf(refute_0_7328,plain,
( or(t6,not(and(X_34,or(not(t4),not(X_34))))) != or(t6,ll1)
| or(t6,or(not(X_34),and(t4,X_34))) = or(t6,ll1) ),
inference(resolve,[$cnf( $equal(or(t6,not(and(X_34,or(not(t4),not(X_34))))),or(t6,or(not(X_34),and(t4,X_34)))) )],[refute_0_7326,refute_0_7327]) ).
cnf(refute_0_7329,plain,
or(t6,ll1) = ll1,
inference(subst,[],[or_boundedness:[bind(X,$fot(t6))]]) ).
cnf(refute_0_7330,plain,
( or(t6,ll1) != ll1
| or(t6,or(not(X_34),and(t4,X_34))) != or(t6,ll1)
| or(t6,or(not(X_34),and(t4,X_34))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,or(not(X_34),and(t4,X_34))),or(t6,ll1)) ),[1],$fot(ll1)]]) ).
cnf(refute_0_7331,plain,
( or(t6,or(not(X_34),and(t4,X_34))) != or(t6,ll1)
| or(t6,or(not(X_34),and(t4,X_34))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t6,ll1),ll1) )],[refute_0_7329,refute_0_7330]) ).
cnf(refute_0_7332,plain,
( or(t6,not(and(X_34,or(not(t4),not(X_34))))) != or(t6,ll1)
| or(t6,or(not(X_34),and(t4,X_34))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t6,or(not(X_34),and(t4,X_34))),or(t6,ll1)) )],[refute_0_7328,refute_0_7331]) ).
cnf(refute_0_7333,plain,
or(t6,or(not(X_34),and(t4,X_34))) = ll1,
inference(resolve,[$cnf( $equal(or(t6,not(and(X_34,or(not(t4),not(X_34))))),or(t6,ll1)) )],[refute_0_7309,refute_0_7332]) ).
cnf(refute_0_7334,plain,
or(t6,or(not(xor(t7,or(t1,and(t3,t7)))),and(t4,xor(t7,or(t1,and(t3,t7)))))) = ll1,
inference(subst,[],[refute_0_7333:[bind(X_34,$fot(xor(t7,or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_7335,plain,
and(and(t4,not(t7)),Z) = and(t4,and(not(t7),Z)),
inference(subst,[],[and_associative:[bind(X,$fot(t4)),bind(Y,$fot(not(t7)))]]) ).
cnf(refute_0_7336,plain,
( and(and(t4,not(t7)),Z) != and(t4,and(not(t7),Z))
| and(t4,not(t7)) != ll0
| and(ll0,Z) = and(t4,and(not(t7),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t4,not(t7)),Z),and(t4,and(not(t7),Z))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_7337,plain,
( and(and(t4,not(t7)),Z) != and(t4,and(not(t7),Z))
| and(ll0,Z) = and(t4,and(not(t7),Z)) ),
inference(resolve,[$cnf( $equal(and(t4,not(t7)),ll0) )],[refute_0_769,refute_0_7336]) ).
cnf(refute_0_7338,plain,
and(ll0,Z) = and(t4,and(not(t7),Z)),
inference(resolve,[$cnf( $equal(and(and(t4,not(t7)),Z),and(t4,and(not(t7),Z))) )],[refute_0_7335,refute_0_7337]) ).
cnf(refute_0_7339,plain,
and(ll0,Z) = ll0,
inference(subst,[],[refute_0_55:[bind(X,$fot(Z))]]) ).
cnf(refute_0_7340,plain,
( and(ll0,Z) != and(t4,and(not(t7),Z))
| and(ll0,Z) != ll0
| ll0 = and(t4,and(not(t7),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(ll0,Z),and(t4,and(not(t7),Z))) ),[0],$fot(ll0)]]) ).
cnf(refute_0_7341,plain,
( and(ll0,Z) != and(t4,and(not(t7),Z))
| ll0 = and(t4,and(not(t7),Z)) ),
inference(resolve,[$cnf( $equal(and(ll0,Z),ll0) )],[refute_0_7339,refute_0_7340]) ).
cnf(refute_0_7342,plain,
ll0 = and(t4,and(not(t7),Z)),
inference(resolve,[$cnf( $equal(and(ll0,Z),and(t4,and(not(t7),Z))) )],[refute_0_7338,refute_0_7341]) ).
cnf(refute_0_7343,plain,
ll0 = and(t4,and(not(t7),or(t1,and(t3,t7)))),
inference(subst,[],[refute_0_7342:[bind(Z,$fot(or(t1,and(t3,t7))))]]) ).
cnf(refute_0_7344,plain,
( and(not(t7),or(t1,and(t3,t7))) != xor(t7,or(t1,and(t3,t7)))
| ll0 != and(t4,and(not(t7),or(t1,and(t3,t7))))
| ll0 = and(t4,xor(t7,or(t1,and(t3,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(t4,and(not(t7),or(t1,and(t3,t7))))) ),[1,1],$fot(xor(t7,or(t1,and(t3,t7))))]]) ).
cnf(refute_0_7345,plain,
( ll0 != and(t4,and(not(t7),or(t1,and(t3,t7))))
| ll0 = and(t4,xor(t7,or(t1,and(t3,t7)))) ),
inference(resolve,[$cnf( $equal(and(not(t7),or(t1,and(t3,t7))),xor(t7,or(t1,and(t3,t7)))) )],[refute_0_5648,refute_0_7344]) ).
cnf(refute_0_7346,plain,
ll0 = and(t4,xor(t7,or(t1,and(t3,t7)))),
inference(resolve,[$cnf( $equal(ll0,and(t4,and(not(t7),or(t1,and(t3,t7))))) )],[refute_0_7343,refute_0_7345]) ).
cnf(refute_0_7347,plain,
( ll0 != and(t4,xor(t7,or(t1,and(t3,t7))))
| and(t4,xor(t7,or(t1,and(t3,t7)))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(t4,xor(t7,or(t1,and(t3,t7))))))]]) ).
cnf(refute_0_7348,plain,
and(t4,xor(t7,or(t1,and(t3,t7)))) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(t4,xor(t7,or(t1,and(t3,t7))))) )],[refute_0_7346,refute_0_7347]) ).
cnf(refute_0_7349,plain,
( and(t4,xor(t7,or(t1,and(t3,t7)))) != ll0
| or(t6,or(not(xor(t7,or(t1,and(t3,t7)))),and(t4,xor(t7,or(t1,and(t3,t7)))))) != ll1
| or(t6,or(not(xor(t7,or(t1,and(t3,t7)))),ll0)) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,or(not(xor(t7,or(t1,and(t3,t7)))),and(t4,xor(t7,or(t1,and(t3,t7)))))),ll1) ),[0,1,1],$fot(ll0)]]) ).
cnf(refute_0_7350,plain,
( or(t6,or(not(xor(t7,or(t1,and(t3,t7)))),and(t4,xor(t7,or(t1,and(t3,t7)))))) != ll1
| or(t6,or(not(xor(t7,or(t1,and(t3,t7)))),ll0)) = ll1 ),
inference(resolve,[$cnf( $equal(and(t4,xor(t7,or(t1,and(t3,t7)))),ll0) )],[refute_0_7348,refute_0_7349]) ).
cnf(refute_0_7351,plain,
or(t6,or(not(xor(t7,or(t1,and(t3,t7)))),ll0)) = ll1,
inference(resolve,[$cnf( $equal(or(t6,or(not(xor(t7,or(t1,and(t3,t7)))),and(t4,xor(t7,or(t1,and(t3,t7)))))),ll1) )],[refute_0_7334,refute_0_7350]) ).
cnf(refute_0_7352,plain,
or(ll0,or(t6,not(xor(t7,or(t1,and(t3,t7)))))) = or(t6,not(xor(t7,or(t1,and(t3,t7))))),
inference(subst,[],[refute_0_124:[bind(X,$fot(or(t6,not(xor(t7,or(t1,and(t3,t7)))))))]]) ).
cnf(refute_0_7353,plain,
or(t6,or(ll0,not(xor(t7,or(t1,and(t3,t7)))))) = or(ll0,or(t6,not(xor(t7,or(t1,and(t3,t7)))))),
inference(subst,[],[refute_0_267:[bind(X_37,$fot(t6)),bind(X_38,$fot(ll0)),bind(X_39,$fot(not(xor(t7,or(t1,and(t3,t7))))))]]) ).
cnf(refute_0_7354,plain,
( or(ll0,or(t6,not(xor(t7,or(t1,and(t3,t7)))))) != or(t6,not(xor(t7,or(t1,and(t3,t7)))))
| or(t6,or(ll0,not(xor(t7,or(t1,and(t3,t7)))))) != or(ll0,or(t6,not(xor(t7,or(t1,and(t3,t7))))))
| or(t6,or(ll0,not(xor(t7,or(t1,and(t3,t7)))))) = or(t6,not(xor(t7,or(t1,and(t3,t7))))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t6,or(ll0,not(xor(t7,or(t1,and(t3,t7)))))))),bind(Y0,$fot(or(ll0,or(t6,not(xor(t7,or(t1,and(t3,t7)))))))),bind(Z0,$fot(or(t6,not(xor(t7,or(t1,and(t3,t7)))))))]]) ).
cnf(refute_0_7355,plain,
( or(ll0,or(t6,not(xor(t7,or(t1,and(t3,t7)))))) != or(t6,not(xor(t7,or(t1,and(t3,t7)))))
| or(t6,or(ll0,not(xor(t7,or(t1,and(t3,t7)))))) = or(t6,not(xor(t7,or(t1,and(t3,t7))))) ),
inference(resolve,[$cnf( $equal(or(t6,or(ll0,not(xor(t7,or(t1,and(t3,t7)))))),or(ll0,or(t6,not(xor(t7,or(t1,and(t3,t7))))))) )],[refute_0_7353,refute_0_7354]) ).
cnf(refute_0_7356,plain,
or(t6,or(ll0,not(xor(t7,or(t1,and(t3,t7)))))) = or(t6,not(xor(t7,or(t1,and(t3,t7))))),
inference(resolve,[$cnf( $equal(or(ll0,or(t6,not(xor(t7,or(t1,and(t3,t7)))))),or(t6,not(xor(t7,or(t1,and(t3,t7)))))) )],[refute_0_7352,refute_0_7355]) ).
cnf(refute_0_7357,plain,
or(t6,or(not(xor(t7,or(t1,and(t3,t7)))),ll0)) = or(t6,or(ll0,not(xor(t7,or(t1,and(t3,t7)))))),
inference(subst,[],[refute_0_3788:[bind(X_37,$fot(t6)),bind(X_38,$fot(ll0)),bind(X_39,$fot(not(xor(t7,or(t1,and(t3,t7))))))]]) ).
cnf(refute_0_7358,plain,
( or(t6,or(ll0,not(xor(t7,or(t1,and(t3,t7)))))) != or(t6,not(xor(t7,or(t1,and(t3,t7)))))
| or(t6,or(not(xor(t7,or(t1,and(t3,t7)))),ll0)) != or(t6,or(ll0,not(xor(t7,or(t1,and(t3,t7))))))
| or(t6,or(not(xor(t7,or(t1,and(t3,t7)))),ll0)) = or(t6,not(xor(t7,or(t1,and(t3,t7))))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t6,or(not(xor(t7,or(t1,and(t3,t7)))),ll0)))),bind(Y0,$fot(or(t6,or(ll0,not(xor(t7,or(t1,and(t3,t7)))))))),bind(Z0,$fot(or(t6,not(xor(t7,or(t1,and(t3,t7)))))))]]) ).
cnf(refute_0_7359,plain,
( or(t6,or(ll0,not(xor(t7,or(t1,and(t3,t7)))))) != or(t6,not(xor(t7,or(t1,and(t3,t7)))))
| or(t6,or(not(xor(t7,or(t1,and(t3,t7)))),ll0)) = or(t6,not(xor(t7,or(t1,and(t3,t7))))) ),
inference(resolve,[$cnf( $equal(or(t6,or(not(xor(t7,or(t1,and(t3,t7)))),ll0)),or(t6,or(ll0,not(xor(t7,or(t1,and(t3,t7))))))) )],[refute_0_7357,refute_0_7358]) ).
cnf(refute_0_7360,plain,
or(t6,or(not(xor(t7,or(t1,and(t3,t7)))),ll0)) = or(t6,not(xor(t7,or(t1,and(t3,t7))))),
inference(resolve,[$cnf( $equal(or(t6,or(ll0,not(xor(t7,or(t1,and(t3,t7)))))),or(t6,not(xor(t7,or(t1,and(t3,t7)))))) )],[refute_0_7356,refute_0_7359]) ).
cnf(refute_0_7361,plain,
( or(t6,or(not(xor(t7,or(t1,and(t3,t7)))),ll0)) != ll1
| or(t6,or(not(xor(t7,or(t1,and(t3,t7)))),ll0)) != or(t6,not(xor(t7,or(t1,and(t3,t7)))))
| or(t6,not(xor(t7,or(t1,and(t3,t7))))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,or(not(xor(t7,or(t1,and(t3,t7)))),ll0)),ll1) ),[0],$fot(or(t6,not(xor(t7,or(t1,and(t3,t7))))))]]) ).
cnf(refute_0_7362,plain,
( or(t6,or(not(xor(t7,or(t1,and(t3,t7)))),ll0)) != ll1
| or(t6,not(xor(t7,or(t1,and(t3,t7))))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t6,or(not(xor(t7,or(t1,and(t3,t7)))),ll0)),or(t6,not(xor(t7,or(t1,and(t3,t7)))))) )],[refute_0_7360,refute_0_7361]) ).
cnf(refute_0_7363,plain,
or(t6,not(xor(t7,or(t1,and(t3,t7))))) = ll1,
inference(resolve,[$cnf( $equal(or(t6,or(not(xor(t7,or(t1,and(t3,t7)))),ll0)),ll1) )],[refute_0_7351,refute_0_7362]) ).
cnf(refute_0_7364,plain,
( ll0 != xor(or(t6,not(xor(t7,or(t1,and(t3,t7))))),or(not(xor(t7,or(t1,and(t3,t7)))),t6))
| or(t6,not(xor(t7,or(t1,and(t3,t7))))) != ll1
| ll0 = xor(ll1,or(not(xor(t7,or(t1,and(t3,t7)))),t6)) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,xor(or(t6,not(xor(t7,or(t1,and(t3,t7))))),or(not(xor(t7,or(t1,and(t3,t7)))),t6))) ),[1,0],$fot(ll1)]]) ).
cnf(refute_0_7365,plain,
( ll0 != xor(or(t6,not(xor(t7,or(t1,and(t3,t7))))),or(not(xor(t7,or(t1,and(t3,t7)))),t6))
| ll0 = xor(ll1,or(not(xor(t7,or(t1,and(t3,t7)))),t6)) ),
inference(resolve,[$cnf( $equal(or(t6,not(xor(t7,or(t1,and(t3,t7))))),ll1) )],[refute_0_7363,refute_0_7364]) ).
cnf(refute_0_7366,plain,
ll0 = xor(ll1,or(not(xor(t7,or(t1,and(t3,t7)))),t6)),
inference(resolve,[$cnf( $equal(ll0,xor(or(t6,not(xor(t7,or(t1,and(t3,t7))))),or(not(xor(t7,or(t1,and(t3,t7)))),t6))) )],[refute_0_7238,refute_0_7365]) ).
cnf(refute_0_7367,plain,
not(or(t6,not(xor(t7,or(t1,and(t3,t7)))))) = and(not(t6),xor(t7,or(t1,and(t3,t7)))),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(t7,or(t1,and(t3,t7))))),bind(X_25,$fot(t6))]]) ).
cnf(refute_0_7368,plain,
not(or(X,xor(sum,t7))) = and(not(X),not(xor(sum,t7))),
inference(subst,[],[or_demorgan:[bind(Y,$fot(xor(sum,t7)))]]) ).
cnf(refute_0_7369,plain,
( not(or(X,xor(sum,t7))) != and(not(X),not(xor(sum,t7)))
| not(xor(sum,t7)) != and(sum,t7)
| not(or(X,xor(sum,t7))) = and(not(X),and(sum,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(sum,t7))),and(not(X),not(xor(sum,t7)))) ),[1,1],$fot(and(sum,t7))]]) ).
cnf(refute_0_7370,plain,
( not(or(X,xor(sum,t7))) != and(not(X),not(xor(sum,t7)))
| not(or(X,xor(sum,t7))) = and(not(X),and(sum,t7)) ),
inference(resolve,[$cnf( $equal(not(xor(sum,t7)),and(sum,t7)) )],[refute_0_5696,refute_0_7369]) ).
cnf(refute_0_7371,plain,
not(or(X,xor(sum,t7))) = and(not(X),and(sum,t7)),
inference(resolve,[$cnf( $equal(not(or(X,xor(sum,t7))),and(not(X),not(xor(sum,t7)))) )],[refute_0_7368,refute_0_7370]) ).
cnf(refute_0_7372,plain,
and(sum,and(t7,not(X))) = not(or(xor(sum,t7),X)),
inference(subst,[],[refute_0_5806:[bind(X_26,$fot(X))]]) ).
cnf(refute_0_7373,plain,
and(sum,and(not(X),t7)) = and(sum,and(t7,not(X))),
inference(subst,[],[refute_0_2637:[bind(X_220,$fot(sum)),bind(X_221,$fot(t7)),bind(X_222,$fot(not(X)))]]) ).
cnf(refute_0_7374,plain,
( and(sum,and(not(X),t7)) != and(sum,and(t7,not(X)))
| and(sum,and(t7,not(X))) != not(or(xor(sum,t7),X))
| and(sum,and(not(X),t7)) = not(or(xor(sum,t7),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(sum,and(not(X),t7)))),bind(Y0,$fot(and(sum,and(t7,not(X))))),bind(Z0,$fot(not(or(xor(sum,t7),X))))]]) ).
cnf(refute_0_7375,plain,
( and(sum,and(t7,not(X))) != not(or(xor(sum,t7),X))
| and(sum,and(not(X),t7)) = not(or(xor(sum,t7),X)) ),
inference(resolve,[$cnf( $equal(and(sum,and(not(X),t7)),and(sum,and(t7,not(X)))) )],[refute_0_7373,refute_0_7374]) ).
cnf(refute_0_7376,plain,
and(sum,and(not(X),t7)) = not(or(xor(sum,t7),X)),
inference(resolve,[$cnf( $equal(and(sum,and(t7,not(X))),not(or(xor(sum,t7),X))) )],[refute_0_7372,refute_0_7375]) ).
cnf(refute_0_7377,plain,
and(not(X),and(sum,t7)) = and(sum,and(not(X),t7)),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(X))),bind(X_221,$fot(sum)),bind(X_222,$fot(t7))]]) ).
cnf(refute_0_7378,plain,
( and(not(X),and(sum,t7)) != and(sum,and(not(X),t7))
| and(sum,and(not(X),t7)) != not(or(xor(sum,t7),X))
| and(not(X),and(sum,t7)) = not(or(xor(sum,t7),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(X),and(sum,t7)))),bind(Y0,$fot(and(sum,and(not(X),t7)))),bind(Z0,$fot(not(or(xor(sum,t7),X))))]]) ).
cnf(refute_0_7379,plain,
( and(sum,and(not(X),t7)) != not(or(xor(sum,t7),X))
| and(not(X),and(sum,t7)) = not(or(xor(sum,t7),X)) ),
inference(resolve,[$cnf( $equal(and(not(X),and(sum,t7)),and(sum,and(not(X),t7))) )],[refute_0_7377,refute_0_7378]) ).
cnf(refute_0_7380,plain,
and(not(X),and(sum,t7)) = not(or(xor(sum,t7),X)),
inference(resolve,[$cnf( $equal(and(sum,and(not(X),t7)),not(or(xor(sum,t7),X))) )],[refute_0_7376,refute_0_7379]) ).
cnf(refute_0_7381,plain,
( and(not(X),and(sum,t7)) != not(or(xor(sum,t7),X))
| not(or(X,xor(sum,t7))) != and(not(X),and(sum,t7))
| not(or(X,xor(sum,t7))) = not(or(xor(sum,t7),X)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(sum,t7))),and(not(X),and(sum,t7))) ),[1],$fot(not(or(xor(sum,t7),X)))]]) ).
cnf(refute_0_7382,plain,
( not(or(X,xor(sum,t7))) != and(not(X),and(sum,t7))
| not(or(X,xor(sum,t7))) = not(or(xor(sum,t7),X)) ),
inference(resolve,[$cnf( $equal(and(not(X),and(sum,t7)),not(or(xor(sum,t7),X))) )],[refute_0_7380,refute_0_7381]) ).
cnf(refute_0_7383,plain,
not(or(X,xor(sum,t7))) = not(or(xor(sum,t7),X)),
inference(resolve,[$cnf( $equal(not(or(X,xor(sum,t7))),and(not(X),and(sum,t7))) )],[refute_0_7371,refute_0_7382]) ).
cnf(refute_0_7384,plain,
or(X,xor(sum,t7)) = or(X,xor(sum,t7)),
introduced(tautology,[refl,[$fot(or(X,xor(sum,t7)))]]) ).
cnf(refute_0_7385,plain,
( or(X,xor(sum,t7)) != or(X,xor(sum,t7))
| xor(sum,t7) != t6
| or(X,xor(sum,t7)) = or(X,t6) ),
introduced(tautology,[equality,[$cnf( $equal(or(X,xor(sum,t7)),or(X,xor(sum,t7))) ),[1,1],$fot(t6)]]) ).
cnf(refute_0_7386,plain,
( xor(sum,t7) != t6
| or(X,xor(sum,t7)) = or(X,t6) ),
inference(resolve,[$cnf( $equal(or(X,xor(sum,t7)),or(X,xor(sum,t7))) )],[refute_0_7384,refute_0_7385]) ).
cnf(refute_0_7387,plain,
or(X,xor(sum,t7)) = or(X,t6),
inference(resolve,[$cnf( $equal(xor(sum,t7),t6) )],[refute_0_5988,refute_0_7386]) ).
cnf(refute_0_7388,plain,
not(or(X,xor(sum,t7))) = not(or(X,xor(sum,t7))),
introduced(tautology,[refl,[$fot(not(or(X,xor(sum,t7))))]]) ).
cnf(refute_0_7389,plain,
( not(or(X,xor(sum,t7))) != not(or(X,xor(sum,t7)))
| or(X,xor(sum,t7)) != or(X,t6)
| not(or(X,xor(sum,t7))) = not(or(X,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(sum,t7))),not(or(X,xor(sum,t7)))) ),[1,0],$fot(or(X,t6))]]) ).
cnf(refute_0_7390,plain,
( or(X,xor(sum,t7)) != or(X,t6)
| not(or(X,xor(sum,t7))) = not(or(X,t6)) ),
inference(resolve,[$cnf( $equal(not(or(X,xor(sum,t7))),not(or(X,xor(sum,t7)))) )],[refute_0_7388,refute_0_7389]) ).
cnf(refute_0_7391,plain,
not(or(X,xor(sum,t7))) = not(or(X,t6)),
inference(resolve,[$cnf( $equal(or(X,xor(sum,t7)),or(X,t6)) )],[refute_0_7387,refute_0_7390]) ).
cnf(refute_0_7392,plain,
( not(or(X,xor(sum,t7))) != not(or(X,t6))
| not(or(X,xor(sum,t7))) != not(or(xor(sum,t7),X))
| not(or(X,t6)) = not(or(xor(sum,t7),X)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(sum,t7))),not(or(xor(sum,t7),X))) ),[0],$fot(not(or(X,t6)))]]) ).
cnf(refute_0_7393,plain,
( not(or(X,xor(sum,t7))) != not(or(xor(sum,t7),X))
| not(or(X,t6)) = not(or(xor(sum,t7),X)) ),
inference(resolve,[$cnf( $equal(not(or(X,xor(sum,t7))),not(or(X,t6))) )],[refute_0_7391,refute_0_7392]) ).
cnf(refute_0_7394,plain,
or(xor(sum,t7),X) = or(xor(sum,t7),X),
introduced(tautology,[refl,[$fot(or(xor(sum,t7),X))]]) ).
cnf(refute_0_7395,plain,
( or(xor(sum,t7),X) != or(xor(sum,t7),X)
| xor(sum,t7) != t6
| or(xor(sum,t7),X) = or(t6,X) ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(sum,t7),X),or(xor(sum,t7),X)) ),[1,0],$fot(t6)]]) ).
cnf(refute_0_7396,plain,
( xor(sum,t7) != t6
| or(xor(sum,t7),X) = or(t6,X) ),
inference(resolve,[$cnf( $equal(or(xor(sum,t7),X),or(xor(sum,t7),X)) )],[refute_0_7394,refute_0_7395]) ).
cnf(refute_0_7397,plain,
or(xor(sum,t7),X) = or(t6,X),
inference(resolve,[$cnf( $equal(xor(sum,t7),t6) )],[refute_0_5988,refute_0_7396]) ).
cnf(refute_0_7398,plain,
not(or(xor(sum,t7),X)) = not(or(xor(sum,t7),X)),
introduced(tautology,[refl,[$fot(not(or(xor(sum,t7),X)))]]) ).
cnf(refute_0_7399,plain,
( not(or(xor(sum,t7),X)) != not(or(xor(sum,t7),X))
| or(xor(sum,t7),X) != or(t6,X)
| not(or(xor(sum,t7),X)) = not(or(t6,X)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(sum,t7),X)),not(or(xor(sum,t7),X))) ),[1,0],$fot(or(t6,X))]]) ).
cnf(refute_0_7400,plain,
( or(xor(sum,t7),X) != or(t6,X)
| not(or(xor(sum,t7),X)) = not(or(t6,X)) ),
inference(resolve,[$cnf( $equal(not(or(xor(sum,t7),X)),not(or(xor(sum,t7),X))) )],[refute_0_7398,refute_0_7399]) ).
cnf(refute_0_7401,plain,
not(or(xor(sum,t7),X)) = not(or(t6,X)),
inference(resolve,[$cnf( $equal(or(xor(sum,t7),X),or(t6,X)) )],[refute_0_7397,refute_0_7400]) ).
cnf(refute_0_7402,plain,
( not(or(X,t6)) != not(or(xor(sum,t7),X))
| not(or(xor(sum,t7),X)) != not(or(t6,X))
| not(or(X,t6)) = not(or(t6,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(or(X,t6)),not(or(t6,X))) ),[0],$fot(not(or(xor(sum,t7),X)))]]) ).
cnf(refute_0_7403,plain,
( not(or(X,t6)) != not(or(xor(sum,t7),X))
| not(or(X,t6)) = not(or(t6,X)) ),
inference(resolve,[$cnf( $equal(not(or(xor(sum,t7),X)),not(or(t6,X))) )],[refute_0_7401,refute_0_7402]) ).
cnf(refute_0_7404,plain,
( not(or(X,xor(sum,t7))) != not(or(xor(sum,t7),X))
| not(or(X,t6)) = not(or(t6,X)) ),
inference(resolve,[$cnf( $equal(not(or(X,t6)),not(or(xor(sum,t7),X))) )],[refute_0_7393,refute_0_7403]) ).
cnf(refute_0_7405,plain,
not(or(X,t6)) = not(or(t6,X)),
inference(resolve,[$cnf( $equal(not(or(X,xor(sum,t7))),not(or(xor(sum,t7),X))) )],[refute_0_7383,refute_0_7404]) ).
cnf(refute_0_7406,plain,
not(or(not(xor(t7,or(t1,and(t3,t7)))),t6)) = not(or(t6,not(xor(t7,or(t1,and(t3,t7)))))),
inference(subst,[],[refute_0_7405:[bind(X,$fot(not(xor(t7,or(t1,and(t3,t7))))))]]) ).
cnf(refute_0_7407,plain,
( not(or(not(xor(t7,or(t1,and(t3,t7)))),t6)) != not(or(t6,not(xor(t7,or(t1,and(t3,t7))))))
| not(or(t6,not(xor(t7,or(t1,and(t3,t7)))))) != and(not(t6),xor(t7,or(t1,and(t3,t7))))
| not(or(not(xor(t7,or(t1,and(t3,t7)))),t6)) = and(not(t6),xor(t7,or(t1,and(t3,t7)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(not(xor(t7,or(t1,and(t3,t7)))),t6)))),bind(Y0,$fot(not(or(t6,not(xor(t7,or(t1,and(t3,t7)))))))),bind(Z0,$fot(and(not(t6),xor(t7,or(t1,and(t3,t7))))))]]) ).
cnf(refute_0_7408,plain,
( not(or(t6,not(xor(t7,or(t1,and(t3,t7)))))) != and(not(t6),xor(t7,or(t1,and(t3,t7))))
| not(or(not(xor(t7,or(t1,and(t3,t7)))),t6)) = and(not(t6),xor(t7,or(t1,and(t3,t7)))) ),
inference(resolve,[$cnf( $equal(not(or(not(xor(t7,or(t1,and(t3,t7)))),t6)),not(or(t6,not(xor(t7,or(t1,and(t3,t7))))))) )],[refute_0_7406,refute_0_7407]) ).
cnf(refute_0_7409,plain,
not(or(not(xor(t7,or(t1,and(t3,t7)))),t6)) = and(not(t6),xor(t7,or(t1,and(t3,t7)))),
inference(resolve,[$cnf( $equal(not(or(t6,not(xor(t7,or(t1,and(t3,t7)))))),and(not(t6),xor(t7,or(t1,and(t3,t7))))) )],[refute_0_7367,refute_0_7408]) ).
cnf(refute_0_7410,plain,
xor(ll1,or(not(xor(t7,or(t1,and(t3,t7)))),t6)) = not(or(not(xor(t7,or(t1,and(t3,t7)))),t6)),
inference(subst,[],[refute_0_3546:[bind(X_64,$fot(or(not(xor(t7,or(t1,and(t3,t7)))),t6)))]]) ).
cnf(refute_0_7411,plain,
( not(or(not(xor(t7,or(t1,and(t3,t7)))),t6)) != and(not(t6),xor(t7,or(t1,and(t3,t7))))
| xor(ll1,or(not(xor(t7,or(t1,and(t3,t7)))),t6)) != not(or(not(xor(t7,or(t1,and(t3,t7)))),t6))
| xor(ll1,or(not(xor(t7,or(t1,and(t3,t7)))),t6)) = and(not(t6),xor(t7,or(t1,and(t3,t7)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(ll1,or(not(xor(t7,or(t1,and(t3,t7)))),t6)))),bind(Y0,$fot(not(or(not(xor(t7,or(t1,and(t3,t7)))),t6)))),bind(Z0,$fot(and(not(t6),xor(t7,or(t1,and(t3,t7))))))]]) ).
cnf(refute_0_7412,plain,
( not(or(not(xor(t7,or(t1,and(t3,t7)))),t6)) != and(not(t6),xor(t7,or(t1,and(t3,t7))))
| xor(ll1,or(not(xor(t7,or(t1,and(t3,t7)))),t6)) = and(not(t6),xor(t7,or(t1,and(t3,t7)))) ),
inference(resolve,[$cnf( $equal(xor(ll1,or(not(xor(t7,or(t1,and(t3,t7)))),t6)),not(or(not(xor(t7,or(t1,and(t3,t7)))),t6))) )],[refute_0_7410,refute_0_7411]) ).
cnf(refute_0_7413,plain,
xor(ll1,or(not(xor(t7,or(t1,and(t3,t7)))),t6)) = and(not(t6),xor(t7,or(t1,and(t3,t7)))),
inference(resolve,[$cnf( $equal(not(or(not(xor(t7,or(t1,and(t3,t7)))),t6)),and(not(t6),xor(t7,or(t1,and(t3,t7))))) )],[refute_0_7409,refute_0_7412]) ).
cnf(refute_0_7414,plain,
( ll0 != xor(ll1,or(not(xor(t7,or(t1,and(t3,t7)))),t6))
| xor(ll1,or(not(xor(t7,or(t1,and(t3,t7)))),t6)) != and(not(t6),xor(t7,or(t1,and(t3,t7))))
| ll0 = and(not(t6),xor(t7,or(t1,and(t3,t7)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll0,and(not(t6),xor(t7,or(t1,and(t3,t7))))) ),[0],$fot(xor(ll1,or(not(xor(t7,or(t1,and(t3,t7)))),t6)))]]) ).
cnf(refute_0_7415,plain,
( ll0 != xor(ll1,or(not(xor(t7,or(t1,and(t3,t7)))),t6))
| ll0 = and(not(t6),xor(t7,or(t1,and(t3,t7)))) ),
inference(resolve,[$cnf( $equal(xor(ll1,or(not(xor(t7,or(t1,and(t3,t7)))),t6)),and(not(t6),xor(t7,or(t1,and(t3,t7))))) )],[refute_0_7413,refute_0_7414]) ).
cnf(refute_0_7416,plain,
ll0 = and(not(t6),xor(t7,or(t1,and(t3,t7)))),
inference(resolve,[$cnf( $equal(ll0,xor(ll1,or(not(xor(t7,or(t1,and(t3,t7)))),t6))) )],[refute_0_7366,refute_0_7415]) ).
cnf(refute_0_7417,plain,
( ll0 != and(not(t6),xor(t7,or(t1,and(t3,t7))))
| and(not(t6),xor(t7,or(t1,and(t3,t7)))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(not(t6),xor(t7,or(t1,and(t3,t7))))))]]) ).
cnf(refute_0_7418,plain,
and(not(t6),xor(t7,or(t1,and(t3,t7)))) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(not(t6),xor(t7,or(t1,and(t3,t7))))) )],[refute_0_7416,refute_0_7417]) ).
cnf(refute_0_7419,plain,
( and(not(t6),xor(t7,or(t1,and(t3,t7)))) != ll0
| or(and(t6,not(xor(t7,or(t1,and(t3,t7))))),and(not(t6),xor(t7,or(t1,and(t3,t7))))) != xor(t6,xor(t7,or(t1,and(t3,t7))))
| or(and(t6,not(xor(t7,or(t1,and(t3,t7))))),ll0) = xor(t6,xor(t7,or(t1,and(t3,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,not(xor(t7,or(t1,and(t3,t7))))),and(not(t6),xor(t7,or(t1,and(t3,t7))))),xor(t6,xor(t7,or(t1,and(t3,t7))))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_7420,plain,
( or(and(t6,not(xor(t7,or(t1,and(t3,t7))))),and(not(t6),xor(t7,or(t1,and(t3,t7))))) != xor(t6,xor(t7,or(t1,and(t3,t7))))
| or(and(t6,not(xor(t7,or(t1,and(t3,t7))))),ll0) = xor(t6,xor(t7,or(t1,and(t3,t7)))) ),
inference(resolve,[$cnf( $equal(and(not(t6),xor(t7,or(t1,and(t3,t7)))),ll0) )],[refute_0_7418,refute_0_7419]) ).
cnf(refute_0_7421,plain,
or(and(t6,not(xor(t7,or(t1,and(t3,t7))))),ll0) = xor(t6,xor(t7,or(t1,and(t3,t7)))),
inference(resolve,[$cnf( $equal(or(and(t6,not(xor(t7,or(t1,and(t3,t7))))),and(not(t6),xor(t7,or(t1,and(t3,t7))))),xor(t6,xor(t7,or(t1,and(t3,t7))))) )],[refute_0_7237,refute_0_7420]) ).
cnf(refute_0_7422,plain,
or(and(t6,not(xor(t7,or(t1,and(t3,t7))))),ll0) = and(t6,not(xor(t7,or(t1,and(t3,t7))))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t6,not(xor(t7,or(t1,and(t3,t7)))))))]]) ).
cnf(refute_0_7423,plain,
( or(and(t6,not(xor(t7,or(t1,and(t3,t7))))),ll0) != and(t6,not(xor(t7,or(t1,and(t3,t7)))))
| or(and(t6,not(xor(t7,or(t1,and(t3,t7))))),ll0) != xor(t6,xor(t7,or(t1,and(t3,t7))))
| and(t6,not(xor(t7,or(t1,and(t3,t7))))) = xor(t6,xor(t7,or(t1,and(t3,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,not(xor(t7,or(t1,and(t3,t7))))),ll0),xor(t6,xor(t7,or(t1,and(t3,t7))))) ),[0],$fot(and(t6,not(xor(t7,or(t1,and(t3,t7))))))]]) ).
cnf(refute_0_7424,plain,
( or(and(t6,not(xor(t7,or(t1,and(t3,t7))))),ll0) != xor(t6,xor(t7,or(t1,and(t3,t7))))
| and(t6,not(xor(t7,or(t1,and(t3,t7))))) = xor(t6,xor(t7,or(t1,and(t3,t7)))) ),
inference(resolve,[$cnf( $equal(or(and(t6,not(xor(t7,or(t1,and(t3,t7))))),ll0),and(t6,not(xor(t7,or(t1,and(t3,t7)))))) )],[refute_0_7422,refute_0_7423]) ).
cnf(refute_0_7425,plain,
xor(t6,xor(t7,or(t1,and(t3,t7)))) = xor(sum,or(t1,and(t3,t7))),
inference(subst,[],[refute_0_6195:[bind(Y,$fot(or(t1,and(t3,t7))))]]) ).
cnf(refute_0_7426,plain,
( and(t6,not(xor(t7,or(t1,and(t3,t7))))) != xor(t6,xor(t7,or(t1,and(t3,t7))))
| xor(t6,xor(t7,or(t1,and(t3,t7)))) != xor(sum,or(t1,and(t3,t7)))
| and(t6,not(xor(t7,or(t1,and(t3,t7))))) = xor(sum,or(t1,and(t3,t7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,not(xor(t7,or(t1,and(t3,t7))))),xor(sum,or(t1,and(t3,t7)))) ),[0],$fot(xor(t6,xor(t7,or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_7427,plain,
( and(t6,not(xor(t7,or(t1,and(t3,t7))))) != xor(t6,xor(t7,or(t1,and(t3,t7))))
| and(t6,not(xor(t7,or(t1,and(t3,t7))))) = xor(sum,or(t1,and(t3,t7))) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(t7,or(t1,and(t3,t7)))),xor(sum,or(t1,and(t3,t7)))) )],[refute_0_7425,refute_0_7426]) ).
cnf(refute_0_7428,plain,
( or(and(t6,not(xor(t7,or(t1,and(t3,t7))))),ll0) != xor(t6,xor(t7,or(t1,and(t3,t7))))
| and(t6,not(xor(t7,or(t1,and(t3,t7))))) = xor(sum,or(t1,and(t3,t7))) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(t7,or(t1,and(t3,t7))))),xor(t6,xor(t7,or(t1,and(t3,t7))))) )],[refute_0_7424,refute_0_7427]) ).
cnf(refute_0_7429,plain,
and(t6,not(xor(t7,or(t1,and(t3,t7))))) = xor(sum,or(t1,and(t3,t7))),
inference(resolve,[$cnf( $equal(or(and(t6,not(xor(t7,or(t1,and(t3,t7))))),ll0),xor(t6,xor(t7,or(t1,and(t3,t7))))) )],[refute_0_7421,refute_0_7428]) ).
cnf(refute_0_7430,plain,
( and(t6,not(xor(t7,or(t1,and(t3,t7))))) != xor(sum,or(t1,and(t3,t7)))
| ll1 != or(t6,not(and(t6,not(xor(t7,or(t1,and(t3,t7)))))))
| ll1 = or(t6,not(xor(sum,or(t1,and(t3,t7))))) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t6,not(and(t6,not(xor(t7,or(t1,and(t3,t7)))))))) ),[1,1,0],$fot(xor(sum,or(t1,and(t3,t7))))]]) ).
cnf(refute_0_7431,plain,
( ll1 != or(t6,not(and(t6,not(xor(t7,or(t1,and(t3,t7)))))))
| ll1 = or(t6,not(xor(sum,or(t1,and(t3,t7))))) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(t7,or(t1,and(t3,t7))))),xor(sum,or(t1,and(t3,t7)))) )],[refute_0_7429,refute_0_7430]) ).
cnf(refute_0_7432,plain,
ll1 = or(t6,not(xor(sum,or(t1,and(t3,t7))))),
inference(resolve,[$cnf( $equal(ll1,or(t6,not(and(t6,not(xor(t7,or(t1,and(t3,t7)))))))) )],[refute_0_7236,refute_0_7431]) ).
cnf(refute_0_7433,plain,
( ll1 != or(t6,not(xor(sum,or(t1,and(t3,t7)))))
| or(t6,not(xor(sum,or(t1,and(t3,t7))))) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(t6,not(xor(sum,or(t1,and(t3,t7)))))))]]) ).
cnf(refute_0_7434,plain,
or(t6,not(xor(sum,or(t1,and(t3,t7))))) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(t6,not(xor(sum,or(t1,and(t3,t7)))))) )],[refute_0_7432,refute_0_7433]) ).
cnf(refute_0_7435,plain,
( ll0 != xor(or(t6,not(xor(sum,or(t1,and(t3,t7))))),or(not(xor(sum,or(t1,and(t3,t7)))),t6))
| or(t6,not(xor(sum,or(t1,and(t3,t7))))) != ll1
| ll0 = xor(ll1,or(not(xor(sum,or(t1,and(t3,t7)))),t6)) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,xor(or(t6,not(xor(sum,or(t1,and(t3,t7))))),or(not(xor(sum,or(t1,and(t3,t7)))),t6))) ),[1,0],$fot(ll1)]]) ).
cnf(refute_0_7436,plain,
( ll0 != xor(or(t6,not(xor(sum,or(t1,and(t3,t7))))),or(not(xor(sum,or(t1,and(t3,t7)))),t6))
| ll0 = xor(ll1,or(not(xor(sum,or(t1,and(t3,t7)))),t6)) ),
inference(resolve,[$cnf( $equal(or(t6,not(xor(sum,or(t1,and(t3,t7))))),ll1) )],[refute_0_7434,refute_0_7435]) ).
cnf(refute_0_7437,plain,
ll0 = xor(ll1,or(not(xor(sum,or(t1,and(t3,t7)))),t6)),
inference(resolve,[$cnf( $equal(ll0,xor(or(t6,not(xor(sum,or(t1,and(t3,t7))))),or(not(xor(sum,or(t1,and(t3,t7)))),t6))) )],[refute_0_7228,refute_0_7436]) ).
cnf(refute_0_7438,plain,
not(or(t6,not(xor(sum,or(t1,and(t3,t7)))))) = and(not(t6),xor(sum,or(t1,and(t3,t7)))),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(sum,or(t1,and(t3,t7))))),bind(X_25,$fot(t6))]]) ).
cnf(refute_0_7439,plain,
not(or(not(xor(sum,or(t1,and(t3,t7)))),t6)) = not(or(t6,not(xor(sum,or(t1,and(t3,t7)))))),
inference(subst,[],[refute_0_7405:[bind(X,$fot(not(xor(sum,or(t1,and(t3,t7))))))]]) ).
cnf(refute_0_7440,plain,
( not(or(not(xor(sum,or(t1,and(t3,t7)))),t6)) != not(or(t6,not(xor(sum,or(t1,and(t3,t7))))))
| not(or(t6,not(xor(sum,or(t1,and(t3,t7)))))) != and(not(t6),xor(sum,or(t1,and(t3,t7))))
| not(or(not(xor(sum,or(t1,and(t3,t7)))),t6)) = and(not(t6),xor(sum,or(t1,and(t3,t7)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(not(xor(sum,or(t1,and(t3,t7)))),t6)))),bind(Y0,$fot(not(or(t6,not(xor(sum,or(t1,and(t3,t7)))))))),bind(Z0,$fot(and(not(t6),xor(sum,or(t1,and(t3,t7))))))]]) ).
cnf(refute_0_7441,plain,
( not(or(t6,not(xor(sum,or(t1,and(t3,t7)))))) != and(not(t6),xor(sum,or(t1,and(t3,t7))))
| not(or(not(xor(sum,or(t1,and(t3,t7)))),t6)) = and(not(t6),xor(sum,or(t1,and(t3,t7)))) ),
inference(resolve,[$cnf( $equal(not(or(not(xor(sum,or(t1,and(t3,t7)))),t6)),not(or(t6,not(xor(sum,or(t1,and(t3,t7))))))) )],[refute_0_7439,refute_0_7440]) ).
cnf(refute_0_7442,plain,
not(or(not(xor(sum,or(t1,and(t3,t7)))),t6)) = and(not(t6),xor(sum,or(t1,and(t3,t7)))),
inference(resolve,[$cnf( $equal(not(or(t6,not(xor(sum,or(t1,and(t3,t7)))))),and(not(t6),xor(sum,or(t1,and(t3,t7))))) )],[refute_0_7438,refute_0_7441]) ).
cnf(refute_0_7443,plain,
xor(ll1,or(not(xor(sum,or(t1,and(t3,t7)))),t6)) = not(or(not(xor(sum,or(t1,and(t3,t7)))),t6)),
inference(subst,[],[refute_0_3546:[bind(X_64,$fot(or(not(xor(sum,or(t1,and(t3,t7)))),t6)))]]) ).
cnf(refute_0_7444,plain,
( not(or(not(xor(sum,or(t1,and(t3,t7)))),t6)) != and(not(t6),xor(sum,or(t1,and(t3,t7))))
| xor(ll1,or(not(xor(sum,or(t1,and(t3,t7)))),t6)) != not(or(not(xor(sum,or(t1,and(t3,t7)))),t6))
| xor(ll1,or(not(xor(sum,or(t1,and(t3,t7)))),t6)) = and(not(t6),xor(sum,or(t1,and(t3,t7)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(ll1,or(not(xor(sum,or(t1,and(t3,t7)))),t6)))),bind(Y0,$fot(not(or(not(xor(sum,or(t1,and(t3,t7)))),t6)))),bind(Z0,$fot(and(not(t6),xor(sum,or(t1,and(t3,t7))))))]]) ).
cnf(refute_0_7445,plain,
( not(or(not(xor(sum,or(t1,and(t3,t7)))),t6)) != and(not(t6),xor(sum,or(t1,and(t3,t7))))
| xor(ll1,or(not(xor(sum,or(t1,and(t3,t7)))),t6)) = and(not(t6),xor(sum,or(t1,and(t3,t7)))) ),
inference(resolve,[$cnf( $equal(xor(ll1,or(not(xor(sum,or(t1,and(t3,t7)))),t6)),not(or(not(xor(sum,or(t1,and(t3,t7)))),t6))) )],[refute_0_7443,refute_0_7444]) ).
cnf(refute_0_7446,plain,
xor(ll1,or(not(xor(sum,or(t1,and(t3,t7)))),t6)) = and(not(t6),xor(sum,or(t1,and(t3,t7)))),
inference(resolve,[$cnf( $equal(not(or(not(xor(sum,or(t1,and(t3,t7)))),t6)),and(not(t6),xor(sum,or(t1,and(t3,t7))))) )],[refute_0_7442,refute_0_7445]) ).
cnf(refute_0_7447,plain,
( ll0 != xor(ll1,or(not(xor(sum,or(t1,and(t3,t7)))),t6))
| xor(ll1,or(not(xor(sum,or(t1,and(t3,t7)))),t6)) != and(not(t6),xor(sum,or(t1,and(t3,t7))))
| ll0 = and(not(t6),xor(sum,or(t1,and(t3,t7)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll0,and(not(t6),xor(sum,or(t1,and(t3,t7))))) ),[0],$fot(xor(ll1,or(not(xor(sum,or(t1,and(t3,t7)))),t6)))]]) ).
cnf(refute_0_7448,plain,
( ll0 != xor(ll1,or(not(xor(sum,or(t1,and(t3,t7)))),t6))
| ll0 = and(not(t6),xor(sum,or(t1,and(t3,t7)))) ),
inference(resolve,[$cnf( $equal(xor(ll1,or(not(xor(sum,or(t1,and(t3,t7)))),t6)),and(not(t6),xor(sum,or(t1,and(t3,t7))))) )],[refute_0_7446,refute_0_7447]) ).
cnf(refute_0_7449,plain,
ll0 = and(not(t6),xor(sum,or(t1,and(t3,t7)))),
inference(resolve,[$cnf( $equal(ll0,xor(ll1,or(not(xor(sum,or(t1,and(t3,t7)))),t6))) )],[refute_0_7437,refute_0_7448]) ).
cnf(refute_0_7450,plain,
( ll0 != and(not(t6),xor(sum,or(t1,and(t3,t7))))
| and(not(t6),xor(sum,or(t1,and(t3,t7)))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(not(t6),xor(sum,or(t1,and(t3,t7))))))]]) ).
cnf(refute_0_7451,plain,
and(not(t6),xor(sum,or(t1,and(t3,t7)))) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(not(t6),xor(sum,or(t1,and(t3,t7))))) )],[refute_0_7449,refute_0_7450]) ).
cnf(refute_0_7452,plain,
( and(not(t6),xor(sum,or(t1,and(t3,t7)))) != ll0
| or(and(t6,not(xor(sum,or(t1,and(t3,t7))))),and(not(t6),xor(sum,or(t1,and(t3,t7))))) != xor(t6,xor(sum,or(t1,and(t3,t7))))
| or(and(t6,not(xor(sum,or(t1,and(t3,t7))))),ll0) = xor(t6,xor(sum,or(t1,and(t3,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,not(xor(sum,or(t1,and(t3,t7))))),and(not(t6),xor(sum,or(t1,and(t3,t7))))),xor(t6,xor(sum,or(t1,and(t3,t7))))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_7453,plain,
( or(and(t6,not(xor(sum,or(t1,and(t3,t7))))),and(not(t6),xor(sum,or(t1,and(t3,t7))))) != xor(t6,xor(sum,or(t1,and(t3,t7))))
| or(and(t6,not(xor(sum,or(t1,and(t3,t7))))),ll0) = xor(t6,xor(sum,or(t1,and(t3,t7)))) ),
inference(resolve,[$cnf( $equal(and(not(t6),xor(sum,or(t1,and(t3,t7)))),ll0) )],[refute_0_7451,refute_0_7452]) ).
cnf(refute_0_7454,plain,
or(and(t6,not(xor(sum,or(t1,and(t3,t7))))),ll0) = xor(t6,xor(sum,or(t1,and(t3,t7)))),
inference(resolve,[$cnf( $equal(or(and(t6,not(xor(sum,or(t1,and(t3,t7))))),and(not(t6),xor(sum,or(t1,and(t3,t7))))),xor(t6,xor(sum,or(t1,and(t3,t7))))) )],[refute_0_7227,refute_0_7453]) ).
cnf(refute_0_7455,plain,
or(and(t6,not(xor(sum,or(t1,and(t3,t7))))),ll0) = and(t6,not(xor(sum,or(t1,and(t3,t7))))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t6,not(xor(sum,or(t1,and(t3,t7)))))))]]) ).
cnf(refute_0_7456,plain,
( or(and(t6,not(xor(sum,or(t1,and(t3,t7))))),ll0) != and(t6,not(xor(sum,or(t1,and(t3,t7)))))
| or(and(t6,not(xor(sum,or(t1,and(t3,t7))))),ll0) != xor(t6,xor(sum,or(t1,and(t3,t7))))
| and(t6,not(xor(sum,or(t1,and(t3,t7))))) = xor(t6,xor(sum,or(t1,and(t3,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,not(xor(sum,or(t1,and(t3,t7))))),ll0),xor(t6,xor(sum,or(t1,and(t3,t7))))) ),[0],$fot(and(t6,not(xor(sum,or(t1,and(t3,t7))))))]]) ).
cnf(refute_0_7457,plain,
( or(and(t6,not(xor(sum,or(t1,and(t3,t7))))),ll0) != xor(t6,xor(sum,or(t1,and(t3,t7))))
| and(t6,not(xor(sum,or(t1,and(t3,t7))))) = xor(t6,xor(sum,or(t1,and(t3,t7)))) ),
inference(resolve,[$cnf( $equal(or(and(t6,not(xor(sum,or(t1,and(t3,t7))))),ll0),and(t6,not(xor(sum,or(t1,and(t3,t7)))))) )],[refute_0_7455,refute_0_7456]) ).
cnf(refute_0_7458,plain,
xor(sum,xor(or(t1,and(t3,t7)),t6)) = xor(t7,or(t1,and(t3,t7))),
inference(subst,[],[refute_0_6267:[bind(X_385,$fot(or(t1,and(t3,t7))))]]) ).
cnf(refute_0_7459,plain,
( xor(X,xor(Y,t6)) != xor(t6,xor(X,Y))
| xor(t6,xor(X,Y)) = xor(X,xor(Y,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X,xor(Y,t6)))),bind(Y0,$fot(xor(t6,xor(X,Y))))]]) ).
cnf(refute_0_7460,plain,
xor(t6,xor(X,Y)) = xor(X,xor(Y,t6)),
inference(resolve,[$cnf( $equal(xor(X,xor(Y,t6)),xor(t6,xor(X,Y))) )],[refute_0_6300,refute_0_7459]) ).
cnf(refute_0_7461,plain,
xor(t6,xor(sum,or(t1,and(t3,t7)))) = xor(sum,xor(or(t1,and(t3,t7)),t6)),
inference(subst,[],[refute_0_7460:[bind(X,$fot(sum)),bind(Y,$fot(or(t1,and(t3,t7))))]]) ).
cnf(refute_0_7462,plain,
( xor(sum,xor(or(t1,and(t3,t7)),t6)) != xor(t7,or(t1,and(t3,t7)))
| xor(t6,xor(sum,or(t1,and(t3,t7)))) != xor(sum,xor(or(t1,and(t3,t7)),t6))
| xor(t6,xor(sum,or(t1,and(t3,t7)))) = xor(t7,or(t1,and(t3,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,xor(sum,or(t1,and(t3,t7)))))),bind(Y0,$fot(xor(sum,xor(or(t1,and(t3,t7)),t6)))),bind(Z0,$fot(xor(t7,or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_7463,plain,
( xor(sum,xor(or(t1,and(t3,t7)),t6)) != xor(t7,or(t1,and(t3,t7)))
| xor(t6,xor(sum,or(t1,and(t3,t7)))) = xor(t7,or(t1,and(t3,t7))) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(sum,or(t1,and(t3,t7)))),xor(sum,xor(or(t1,and(t3,t7)),t6))) )],[refute_0_7461,refute_0_7462]) ).
cnf(refute_0_7464,plain,
xor(t6,xor(sum,or(t1,and(t3,t7)))) = xor(t7,or(t1,and(t3,t7))),
inference(resolve,[$cnf( $equal(xor(sum,xor(or(t1,and(t3,t7)),t6)),xor(t7,or(t1,and(t3,t7)))) )],[refute_0_7458,refute_0_7463]) ).
cnf(refute_0_7465,plain,
( and(t6,not(xor(sum,or(t1,and(t3,t7))))) != xor(t6,xor(sum,or(t1,and(t3,t7))))
| xor(t6,xor(sum,or(t1,and(t3,t7)))) != xor(t7,or(t1,and(t3,t7)))
| and(t6,not(xor(sum,or(t1,and(t3,t7))))) = xor(t7,or(t1,and(t3,t7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,not(xor(sum,or(t1,and(t3,t7))))),xor(t7,or(t1,and(t3,t7)))) ),[0],$fot(xor(t6,xor(sum,or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_7466,plain,
( and(t6,not(xor(sum,or(t1,and(t3,t7))))) != xor(t6,xor(sum,or(t1,and(t3,t7))))
| and(t6,not(xor(sum,or(t1,and(t3,t7))))) = xor(t7,or(t1,and(t3,t7))) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(sum,or(t1,and(t3,t7)))),xor(t7,or(t1,and(t3,t7)))) )],[refute_0_7464,refute_0_7465]) ).
cnf(refute_0_7467,plain,
( or(and(t6,not(xor(sum,or(t1,and(t3,t7))))),ll0) != xor(t6,xor(sum,or(t1,and(t3,t7))))
| and(t6,not(xor(sum,or(t1,and(t3,t7))))) = xor(t7,or(t1,and(t3,t7))) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(sum,or(t1,and(t3,t7))))),xor(t6,xor(sum,or(t1,and(t3,t7))))) )],[refute_0_7457,refute_0_7466]) ).
cnf(refute_0_7468,plain,
and(t6,not(xor(sum,or(t1,and(t3,t7))))) = xor(t7,or(t1,and(t3,t7))),
inference(resolve,[$cnf( $equal(or(and(t6,not(xor(sum,or(t1,and(t3,t7))))),ll0),xor(t6,xor(sum,or(t1,and(t3,t7))))) )],[refute_0_7454,refute_0_7467]) ).
cnf(refute_0_7469,plain,
not(or(not(X),or(carry,and(t6,or(a,t7))))) = and(X,not(or(carry,and(t6,or(a,t7))))),
inference(subst,[],[refute_0_159:[bind(X_26,$fot(or(carry,and(t6,or(a,t7)))))]]) ).
cnf(refute_0_7470,plain,
and(not(carry),xor(t6,or(a,t7))) = and(t1,and(t5,xor(t6,or(a,t7)))),
inference(subst,[],[refute_0_178:[bind(X_222,$fot(xor(t6,or(a,t7))))]]) ).
cnf(refute_0_7471,plain,
and(xor(t6,or(a,t7)),or(t5,xor(t6,or(a,t7)))) = xor(t6,or(a,t7)),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(xor(t6,or(a,t7)))),bind(X_20,$fot(t5))]]) ).
cnf(refute_0_7472,plain,
not(not(or(t5,xor(t6,or(a,t7))))) = or(t5,xor(t6,or(a,t7))),
inference(subst,[],[not_involution:[bind(X,$fot(or(t5,xor(t6,or(a,t7)))))]]) ).
cnf(refute_0_7473,plain,
and(and(t6,not(t5)),X_222) = and(t6,and(not(t5),X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(t6)),bind(Y,$fot(not(t5))),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_7474,plain,
( and(and(t6,not(t5)),X_222) != and(t6,and(not(t5),X_222))
| and(t6,not(t5)) != not(t5)
| and(not(t5),X_222) = and(t6,and(not(t5),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t6,not(t5)),X_222),and(t6,and(not(t5),X_222))) ),[0,0],$fot(not(t5))]]) ).
cnf(refute_0_7475,plain,
( and(and(t6,not(t5)),X_222) != and(t6,and(not(t5),X_222))
| and(not(t5),X_222) = and(t6,and(not(t5),X_222)) ),
inference(resolve,[$cnf( $equal(and(t6,not(t5)),not(t5)) )],[refute_0_2019,refute_0_7474]) ).
cnf(refute_0_7476,plain,
and(not(t5),X_222) = and(t6,and(not(t5),X_222)),
inference(resolve,[$cnf( $equal(and(and(t6,not(t5)),X_222),and(t6,and(not(t5),X_222))) )],[refute_0_7473,refute_0_7475]) ).
cnf(refute_0_7477,plain,
and(not(t5),or(a,t7)) = and(t6,and(not(t5),or(a,t7))),
inference(subst,[],[refute_0_7476:[bind(X_222,$fot(or(a,t7)))]]) ).
cnf(refute_0_7478,plain,
not(or(not(or(a,t7)),t5)) = not(or(t5,not(or(a,t7)))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(t5)),bind(X_26,$fot(not(or(a,t7))))]]) ).
cnf(refute_0_7479,plain,
or(t5,and(X_14,not(carry))) = or(t5,or(not(carry),and(X_14,not(carry)))),
inference(subst,[],[refute_0_4370:[bind(X_39,$fot(and(X_14,not(carry))))]]) ).
cnf(refute_0_7480,plain,
or(not(carry),and(X_14,not(carry))) = not(carry),
inference(subst,[],[refute_0_222:[bind(X_13,$fot(not(carry)))]]) ).
cnf(refute_0_7481,plain,
( or(not(carry),and(X_14,not(carry))) != not(carry)
| or(t5,and(X_14,not(carry))) != or(t5,or(not(carry),and(X_14,not(carry))))
| or(t5,and(X_14,not(carry))) = or(t5,not(carry)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,and(X_14,not(carry))),or(t5,or(not(carry),and(X_14,not(carry))))) ),[1,1],$fot(not(carry))]]) ).
cnf(refute_0_7482,plain,
( or(t5,and(X_14,not(carry))) != or(t5,or(not(carry),and(X_14,not(carry))))
| or(t5,and(X_14,not(carry))) = or(t5,not(carry)) ),
inference(resolve,[$cnf( $equal(or(not(carry),and(X_14,not(carry))),not(carry)) )],[refute_0_7480,refute_0_7481]) ).
cnf(refute_0_7483,plain,
or(t5,and(X_14,not(carry))) = or(t5,not(carry)),
inference(resolve,[$cnf( $equal(or(t5,and(X_14,not(carry))),or(t5,or(not(carry),and(X_14,not(carry))))) )],[refute_0_7479,refute_0_7482]) ).
cnf(refute_0_7484,plain,
( or(t5,and(X_14,not(carry))) != or(t5,not(carry))
| or(t5,not(carry)) != t5
| or(t5,and(X_14,not(carry))) = t5 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(t5,and(X_14,not(carry))),t5) ),[0],$fot(or(t5,not(carry)))]]) ).
cnf(refute_0_7485,plain,
( or(t5,and(X_14,not(carry))) != or(t5,not(carry))
| or(t5,and(X_14,not(carry))) = t5 ),
inference(resolve,[$cnf( $equal(or(t5,not(carry)),t5) )],[refute_0_4310,refute_0_7484]) ).
cnf(refute_0_7486,plain,
or(t5,and(X_14,not(carry))) = t5,
inference(resolve,[$cnf( $equal(or(t5,and(X_14,not(carry))),or(t5,not(carry))) )],[refute_0_7483,refute_0_7485]) ).
cnf(refute_0_7487,plain,
or(t5,and(cin,not(carry))) = t5,
inference(subst,[],[refute_0_7486:[bind(X_14,$fot(cin))]]) ).
cnf(refute_0_7488,plain,
( and(cin,not(carry)) != not(or(a,t7))
| or(t5,and(cin,not(carry))) != t5
| or(t5,not(or(a,t7))) = t5 ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,and(cin,not(carry))),t5) ),[0,1],$fot(not(or(a,t7)))]]) ).
cnf(refute_0_7489,plain,
( or(t5,and(cin,not(carry))) != t5
| or(t5,not(or(a,t7))) = t5 ),
inference(resolve,[$cnf( $equal(and(cin,not(carry)),not(or(a,t7))) )],[refute_0_4166,refute_0_7488]) ).
cnf(refute_0_7490,plain,
or(t5,not(or(a,t7))) = t5,
inference(resolve,[$cnf( $equal(or(t5,and(cin,not(carry))),t5) )],[refute_0_7487,refute_0_7489]) ).
cnf(refute_0_7491,plain,
( not(or(not(or(a,t7)),t5)) != not(or(t5,not(or(a,t7))))
| or(t5,not(or(a,t7))) != t5
| not(or(not(or(a,t7)),t5)) = not(t5) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(or(a,t7)),t5)),not(or(t5,not(or(a,t7))))) ),[1,0],$fot(t5)]]) ).
cnf(refute_0_7492,plain,
( not(or(not(or(a,t7)),t5)) != not(or(t5,not(or(a,t7))))
| not(or(not(or(a,t7)),t5)) = not(t5) ),
inference(resolve,[$cnf( $equal(or(t5,not(or(a,t7))),t5) )],[refute_0_7490,refute_0_7491]) ).
cnf(refute_0_7493,plain,
not(or(not(or(a,t7)),t5)) = not(t5),
inference(resolve,[$cnf( $equal(not(or(not(or(a,t7)),t5)),not(or(t5,not(or(a,t7))))) )],[refute_0_7478,refute_0_7492]) ).
cnf(refute_0_7494,plain,
not(or(t5,not(or(a,t7)))) = and(not(t5),or(a,t7)),
inference(subst,[],[refute_0_801:[bind(X,$fot(or(a,t7))),bind(X_25,$fot(t5))]]) ).
cnf(refute_0_7495,plain,
( not(or(not(or(a,t7)),t5)) != not(or(t5,not(or(a,t7))))
| not(or(t5,not(or(a,t7)))) != and(not(t5),or(a,t7))
| not(or(not(or(a,t7)),t5)) = and(not(t5),or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(not(or(a,t7)),t5)))),bind(Y0,$fot(not(or(t5,not(or(a,t7)))))),bind(Z0,$fot(and(not(t5),or(a,t7))))]]) ).
cnf(refute_0_7496,plain,
( not(or(t5,not(or(a,t7)))) != and(not(t5),or(a,t7))
| not(or(not(or(a,t7)),t5)) = and(not(t5),or(a,t7)) ),
inference(resolve,[$cnf( $equal(not(or(not(or(a,t7)),t5)),not(or(t5,not(or(a,t7))))) )],[refute_0_7478,refute_0_7495]) ).
cnf(refute_0_7497,plain,
not(or(not(or(a,t7)),t5)) = and(not(t5),or(a,t7)),
inference(resolve,[$cnf( $equal(not(or(t5,not(or(a,t7)))),and(not(t5),or(a,t7))) )],[refute_0_7494,refute_0_7496]) ).
cnf(refute_0_7498,plain,
( not(or(not(or(a,t7)),t5)) != and(not(t5),or(a,t7))
| not(or(not(or(a,t7)),t5)) != not(t5)
| and(not(t5),or(a,t7)) = not(t5) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(or(a,t7)),t5)),not(t5)) ),[0],$fot(and(not(t5),or(a,t7)))]]) ).
cnf(refute_0_7499,plain,
( not(or(not(or(a,t7)),t5)) != not(t5)
| and(not(t5),or(a,t7)) = not(t5) ),
inference(resolve,[$cnf( $equal(not(or(not(or(a,t7)),t5)),and(not(t5),or(a,t7))) )],[refute_0_7497,refute_0_7498]) ).
cnf(refute_0_7500,plain,
and(not(t5),or(a,t7)) = not(t5),
inference(resolve,[$cnf( $equal(not(or(not(or(a,t7)),t5)),not(t5)) )],[refute_0_7493,refute_0_7499]) ).
cnf(refute_0_7501,plain,
( and(not(t5),or(a,t7)) != and(t6,and(not(t5),or(a,t7)))
| and(not(t5),or(a,t7)) != not(t5)
| not(t5) = and(t6,and(not(t5),or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),or(a,t7)),and(t6,and(not(t5),or(a,t7)))) ),[0],$fot(not(t5))]]) ).
cnf(refute_0_7502,plain,
( and(not(t5),or(a,t7)) != and(t6,and(not(t5),or(a,t7)))
| not(t5) = and(t6,and(not(t5),or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(not(t5),or(a,t7)),not(t5)) )],[refute_0_7500,refute_0_7501]) ).
cnf(refute_0_7503,plain,
not(t5) = and(t6,and(not(t5),or(a,t7))),
inference(resolve,[$cnf( $equal(and(not(t5),or(a,t7)),and(t6,and(not(t5),or(a,t7)))) )],[refute_0_7477,refute_0_7502]) ).
cnf(refute_0_7504,plain,
not(or(X,xor(t6,or(carry,t7)))) = and(not(X),not(xor(t6,or(carry,t7)))),
inference(subst,[],[or_demorgan:[bind(Y,$fot(xor(t6,or(carry,t7))))]]) ).
cnf(refute_0_7505,plain,
and(t6,not(and(cin,not(carry)))) = xor(t6,and(cin,not(carry))),
inference(subst,[],[refute_0_1092:[bind(X_55,$fot(not(carry)))]]) ).
cnf(refute_0_7506,plain,
( and(cin,not(carry)) != not(or(carry,t7))
| and(t6,not(and(cin,not(carry)))) != xor(t6,and(cin,not(carry)))
| and(t6,not(and(cin,not(carry)))) = xor(t6,not(or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(and(cin,not(carry)))),xor(t6,and(cin,not(carry)))) ),[1,1],$fot(not(or(carry,t7)))]]) ).
cnf(refute_0_7507,plain,
( and(t6,not(and(cin,not(carry)))) != xor(t6,and(cin,not(carry)))
| and(t6,not(and(cin,not(carry)))) = xor(t6,not(or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(cin,not(carry)),not(or(carry,t7))) )],[refute_0_246,refute_0_7506]) ).
cnf(refute_0_7508,plain,
and(t6,not(and(cin,not(carry)))) = xor(t6,not(or(carry,t7))),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,not(carry)))),xor(t6,and(cin,not(carry)))) )],[refute_0_7505,refute_0_7507]) ).
cnf(refute_0_7509,plain,
and(t6,or(carry,not(cin))) = and(t6,or(carry,not(cin))),
introduced(tautology,[refl,[$fot(and(t6,or(carry,not(cin))))]]) ).
cnf(refute_0_7510,plain,
( and(t6,or(carry,not(cin))) != and(t6,or(carry,not(cin)))
| or(carry,not(cin)) != or(carry,t7)
| and(t6,or(carry,not(cin))) = and(t6,or(carry,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(carry,not(cin))),and(t6,or(carry,not(cin)))) ),[1,1],$fot(or(carry,t7))]]) ).
cnf(refute_0_7511,plain,
( or(carry,not(cin)) != or(carry,t7)
| and(t6,or(carry,not(cin))) = and(t6,or(carry,t7)) ),
inference(resolve,[$cnf( $equal(and(t6,or(carry,not(cin))),and(t6,or(carry,not(cin)))) )],[refute_0_7509,refute_0_7510]) ).
cnf(refute_0_7512,plain,
and(t6,or(carry,not(cin))) = and(t6,or(carry,t7)),
inference(resolve,[$cnf( $equal(or(carry,not(cin)),or(carry,t7)) )],[refute_0_4355,refute_0_7511]) ).
cnf(refute_0_7513,plain,
and(t6,not(and(not(X),cin))) = xor(t6,and(not(X),cin)),
inference(subst,[],[refute_0_2332:[bind(X_60,$fot(not(X)))]]) ).
cnf(refute_0_7514,plain,
not(and(not(X),cin)) = or(X,not(cin)),
inference(subst,[],[refute_0_787:[bind(X_32,$fot(cin))]]) ).
cnf(refute_0_7515,plain,
( and(t6,not(and(not(X),cin))) != xor(t6,and(not(X),cin))
| not(and(not(X),cin)) != or(X,not(cin))
| and(t6,or(X,not(cin))) = xor(t6,and(not(X),cin)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(and(not(X),cin))),xor(t6,and(not(X),cin))) ),[0,1],$fot(or(X,not(cin)))]]) ).
cnf(refute_0_7516,plain,
( and(t6,not(and(not(X),cin))) != xor(t6,and(not(X),cin))
| and(t6,or(X,not(cin))) = xor(t6,and(not(X),cin)) ),
inference(resolve,[$cnf( $equal(not(and(not(X),cin)),or(X,not(cin))) )],[refute_0_7514,refute_0_7515]) ).
cnf(refute_0_7517,plain,
and(t6,or(X,not(cin))) = xor(t6,and(not(X),cin)),
inference(resolve,[$cnf( $equal(and(t6,not(and(not(X),cin))),xor(t6,and(not(X),cin))) )],[refute_0_7513,refute_0_7516]) ).
cnf(refute_0_7518,plain,
and(cin,X_75) = and(X_75,cin),
inference(subst,[],[and_commutative:[bind(X,$fot(cin)),bind(Y,$fot(X_75))]]) ).
cnf(refute_0_7519,plain,
( and(cin,X_75) != and(X_75,cin)
| and(X_75,cin) = and(cin,X_75) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(cin,X_75))),bind(Y0,$fot(and(X_75,cin)))]]) ).
cnf(refute_0_7520,plain,
and(X_75,cin) = and(cin,X_75),
inference(resolve,[$cnf( $equal(and(cin,X_75),and(X_75,cin)) )],[refute_0_7518,refute_0_7519]) ).
cnf(refute_0_7521,plain,
( and(X_75,cin) != and(cin,X_75)
| and(t6,not(and(X_75,cin))) != xor(t6,and(X_75,cin))
| and(t6,not(and(cin,X_75))) = xor(t6,and(X_75,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(and(X_75,cin))),xor(t6,and(X_75,cin))) ),[0,1,0],$fot(and(cin,X_75))]]) ).
cnf(refute_0_7522,plain,
( and(t6,not(and(X_75,cin))) != xor(t6,and(X_75,cin))
| and(t6,not(and(cin,X_75))) = xor(t6,and(X_75,cin)) ),
inference(resolve,[$cnf( $equal(and(X_75,cin),and(cin,X_75)) )],[refute_0_7520,refute_0_7521]) ).
cnf(refute_0_7523,plain,
and(t6,not(and(cin,X_75))) = xor(t6,and(X_75,cin)),
inference(resolve,[$cnf( $equal(and(t6,not(and(X_75,cin))),xor(t6,and(X_75,cin))) )],[refute_0_2333,refute_0_7522]) ).
cnf(refute_0_7524,plain,
and(t6,not(and(cin,X_75))) = xor(t6,and(cin,X_75)),
inference(subst,[],[refute_0_1092:[bind(X_55,$fot(X_75))]]) ).
cnf(refute_0_7525,plain,
( and(t6,not(and(cin,X_75))) != xor(t6,and(X_75,cin))
| and(t6,not(and(cin,X_75))) != xor(t6,and(cin,X_75))
| xor(t6,and(cin,X_75)) = xor(t6,and(X_75,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(and(cin,X_75))),xor(t6,and(X_75,cin))) ),[0],$fot(xor(t6,and(cin,X_75)))]]) ).
cnf(refute_0_7526,plain,
( and(t6,not(and(cin,X_75))) != xor(t6,and(X_75,cin))
| xor(t6,and(cin,X_75)) = xor(t6,and(X_75,cin)) ),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,X_75))),xor(t6,and(cin,X_75))) )],[refute_0_7524,refute_0_7525]) ).
cnf(refute_0_7527,plain,
xor(t6,and(cin,X_75)) = xor(t6,and(X_75,cin)),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,X_75))),xor(t6,and(X_75,cin))) )],[refute_0_7523,refute_0_7526]) ).
cnf(refute_0_7528,plain,
( xor(t6,and(cin,X_75)) != xor(t6,and(X_75,cin))
| xor(t6,and(X_75,cin)) = xor(t6,and(cin,X_75)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t6,and(cin,X_75)))),bind(Y0,$fot(xor(t6,and(X_75,cin))))]]) ).
cnf(refute_0_7529,plain,
xor(t6,and(X_75,cin)) = xor(t6,and(cin,X_75)),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,X_75)),xor(t6,and(X_75,cin))) )],[refute_0_7527,refute_0_7528]) ).
cnf(refute_0_7530,plain,
xor(t6,and(not(X),cin)) = xor(t6,and(cin,not(X))),
inference(subst,[],[refute_0_7529:[bind(X_75,$fot(not(X)))]]) ).
cnf(refute_0_7531,plain,
( and(t6,or(X,not(cin))) != xor(t6,and(not(X),cin))
| xor(t6,and(not(X),cin)) != xor(t6,and(cin,not(X)))
| and(t6,or(X,not(cin))) = xor(t6,and(cin,not(X))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,or(X,not(cin))),xor(t6,and(cin,not(X)))) ),[0],$fot(xor(t6,and(not(X),cin)))]]) ).
cnf(refute_0_7532,plain,
( and(t6,or(X,not(cin))) != xor(t6,and(not(X),cin))
| and(t6,or(X,not(cin))) = xor(t6,and(cin,not(X))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(not(X),cin)),xor(t6,and(cin,not(X)))) )],[refute_0_7530,refute_0_7531]) ).
cnf(refute_0_7533,plain,
and(t6,or(X,not(cin))) = xor(t6,and(cin,not(X))),
inference(resolve,[$cnf( $equal(and(t6,or(X,not(cin))),xor(t6,and(not(X),cin))) )],[refute_0_7517,refute_0_7532]) ).
cnf(refute_0_7534,plain,
( and(t6,or(X,not(cin))) != xor(t6,and(cin,not(X)))
| xor(t6,and(cin,not(X))) = and(t6,or(X,not(cin))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t6,or(X,not(cin))))),bind(Y0,$fot(xor(t6,and(cin,not(X)))))]]) ).
cnf(refute_0_7535,plain,
xor(t6,and(cin,not(X))) = and(t6,or(X,not(cin))),
inference(resolve,[$cnf( $equal(and(t6,or(X,not(cin))),xor(t6,and(cin,not(X)))) )],[refute_0_7533,refute_0_7534]) ).
cnf(refute_0_7536,plain,
xor(t6,and(cin,not(carry))) = and(t6,or(carry,not(cin))),
inference(subst,[],[refute_0_7535:[bind(X,$fot(carry))]]) ).
cnf(refute_0_7537,plain,
( and(t6,not(and(cin,not(carry)))) != xor(t6,and(cin,not(carry)))
| xor(t6,and(cin,not(carry))) != and(t6,or(carry,not(cin)))
| and(t6,not(and(cin,not(carry)))) = and(t6,or(carry,not(cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t6,not(and(cin,not(carry)))))),bind(Y0,$fot(xor(t6,and(cin,not(carry))))),bind(Z0,$fot(and(t6,or(carry,not(cin)))))]]) ).
cnf(refute_0_7538,plain,
( xor(t6,and(cin,not(carry))) != and(t6,or(carry,not(cin)))
| and(t6,not(and(cin,not(carry)))) = and(t6,or(carry,not(cin))) ),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,not(carry)))),xor(t6,and(cin,not(carry)))) )],[refute_0_7505,refute_0_7537]) ).
cnf(refute_0_7539,plain,
and(t6,not(and(cin,not(carry)))) = and(t6,or(carry,not(cin))),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,not(carry))),and(t6,or(carry,not(cin)))) )],[refute_0_7536,refute_0_7538]) ).
cnf(refute_0_7540,plain,
( and(t6,not(and(cin,not(carry)))) != and(t6,or(carry,not(cin)))
| and(t6,or(carry,not(cin))) != and(t6,or(carry,t7))
| and(t6,not(and(cin,not(carry)))) = and(t6,or(carry,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t6,not(and(cin,not(carry)))))),bind(Y0,$fot(and(t6,or(carry,not(cin))))),bind(Z0,$fot(and(t6,or(carry,t7))))]]) ).
cnf(refute_0_7541,plain,
( and(t6,or(carry,not(cin))) != and(t6,or(carry,t7))
| and(t6,not(and(cin,not(carry)))) = and(t6,or(carry,t7)) ),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,not(carry)))),and(t6,or(carry,not(cin)))) )],[refute_0_7539,refute_0_7540]) ).
cnf(refute_0_7542,plain,
and(t6,not(and(cin,not(carry)))) = and(t6,or(carry,t7)),
inference(resolve,[$cnf( $equal(and(t6,or(carry,not(cin))),and(t6,or(carry,t7))) )],[refute_0_7512,refute_0_7541]) ).
cnf(refute_0_7543,plain,
( and(t6,not(and(cin,not(carry)))) != and(t6,or(carry,t7))
| and(t6,not(and(cin,not(carry)))) != xor(t6,not(or(carry,t7)))
| and(t6,or(carry,t7)) = xor(t6,not(or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(and(cin,not(carry)))),xor(t6,not(or(carry,t7)))) ),[0],$fot(and(t6,or(carry,t7)))]]) ).
cnf(refute_0_7544,plain,
( and(t6,not(and(cin,not(carry)))) != xor(t6,not(or(carry,t7)))
| and(t6,or(carry,t7)) = xor(t6,not(or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,not(carry)))),and(t6,or(carry,t7))) )],[refute_0_7542,refute_0_7543]) ).
cnf(refute_0_7545,plain,
xor(t6,not(or(carry,t7))) = not(xor(t6,or(carry,t7))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t6)),bind(X_334,$fot(or(carry,t7)))]]) ).
cnf(refute_0_7546,plain,
( and(t6,or(carry,t7)) != xor(t6,not(or(carry,t7)))
| xor(t6,not(or(carry,t7))) != not(xor(t6,or(carry,t7)))
| and(t6,or(carry,t7)) = not(xor(t6,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,or(carry,t7)),not(xor(t6,or(carry,t7)))) ),[0],$fot(xor(t6,not(or(carry,t7))))]]) ).
cnf(refute_0_7547,plain,
( and(t6,or(carry,t7)) != xor(t6,not(or(carry,t7)))
| and(t6,or(carry,t7)) = not(xor(t6,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(xor(t6,not(or(carry,t7))),not(xor(t6,or(carry,t7)))) )],[refute_0_7545,refute_0_7546]) ).
cnf(refute_0_7548,plain,
( and(t6,not(and(cin,not(carry)))) != xor(t6,not(or(carry,t7)))
| and(t6,or(carry,t7)) = not(xor(t6,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(t6,or(carry,t7)),xor(t6,not(or(carry,t7)))) )],[refute_0_7544,refute_0_7547]) ).
cnf(refute_0_7549,plain,
and(t6,or(carry,t7)) = not(xor(t6,or(carry,t7))),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,not(carry)))),xor(t6,not(or(carry,t7)))) )],[refute_0_7508,refute_0_7548]) ).
cnf(refute_0_7550,plain,
( and(t6,or(carry,t7)) != not(xor(t6,or(carry,t7)))
| not(xor(t6,or(carry,t7))) = and(t6,or(carry,t7)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t6,or(carry,t7)))),bind(Y0,$fot(not(xor(t6,or(carry,t7)))))]]) ).
cnf(refute_0_7551,plain,
not(xor(t6,or(carry,t7))) = and(t6,or(carry,t7)),
inference(resolve,[$cnf( $equal(and(t6,or(carry,t7)),not(xor(t6,or(carry,t7)))) )],[refute_0_7549,refute_0_7550]) ).
cnf(refute_0_7552,plain,
( not(or(X,xor(t6,or(carry,t7)))) != and(not(X),not(xor(t6,or(carry,t7))))
| not(xor(t6,or(carry,t7))) != and(t6,or(carry,t7))
| not(or(X,xor(t6,or(carry,t7)))) = and(not(X),and(t6,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t6,or(carry,t7)))),and(not(X),not(xor(t6,or(carry,t7))))) ),[1,1],$fot(and(t6,or(carry,t7)))]]) ).
cnf(refute_0_7553,plain,
( not(or(X,xor(t6,or(carry,t7)))) != and(not(X),not(xor(t6,or(carry,t7))))
| not(or(X,xor(t6,or(carry,t7)))) = and(not(X),and(t6,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(not(xor(t6,or(carry,t7))),and(t6,or(carry,t7))) )],[refute_0_7551,refute_0_7552]) ).
cnf(refute_0_7554,plain,
not(or(X,xor(t6,or(carry,t7)))) = and(not(X),and(t6,or(carry,t7))),
inference(resolve,[$cnf( $equal(not(or(X,xor(t6,or(carry,t7)))),and(not(X),not(xor(t6,or(carry,t7))))) )],[refute_0_7504,refute_0_7553]) ).
cnf(refute_0_7555,plain,
and(not(X),and(t6,or(carry,t7))) = and(t6,and(not(X),or(carry,t7))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(X))),bind(X_221,$fot(t6)),bind(X_222,$fot(or(carry,t7)))]]) ).
cnf(refute_0_7556,plain,
( and(not(X),and(t6,or(carry,t7))) != and(t6,and(not(X),or(carry,t7)))
| not(or(X,xor(t6,or(carry,t7)))) != and(not(X),and(t6,or(carry,t7)))
| not(or(X,xor(t6,or(carry,t7)))) = and(t6,and(not(X),or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t6,or(carry,t7)))),and(not(X),and(t6,or(carry,t7)))) ),[1],$fot(and(t6,and(not(X),or(carry,t7))))]]) ).
cnf(refute_0_7557,plain,
( not(or(X,xor(t6,or(carry,t7)))) != and(not(X),and(t6,or(carry,t7)))
| not(or(X,xor(t6,or(carry,t7)))) = and(t6,and(not(X),or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(not(X),and(t6,or(carry,t7))),and(t6,and(not(X),or(carry,t7)))) )],[refute_0_7555,refute_0_7556]) ).
cnf(refute_0_7558,plain,
not(or(X,xor(t6,or(carry,t7)))) = and(t6,and(not(X),or(carry,t7))),
inference(resolve,[$cnf( $equal(not(or(X,xor(t6,or(carry,t7)))),and(not(X),and(t6,or(carry,t7)))) )],[refute_0_7554,refute_0_7557]) ).
cnf(refute_0_7559,plain,
xor(t6,or(carry,t7)) = xor(t6,or(carry,t7)),
introduced(tautology,[refl,[$fot(xor(t6,or(carry,t7)))]]) ).
cnf(refute_0_7560,plain,
( or(carry,t7) != or(a,t7)
| xor(t6,or(carry,t7)) != xor(t6,or(carry,t7))
| xor(t6,or(carry,t7)) = xor(t6,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,or(carry,t7)),xor(t6,or(carry,t7))) ),[1,1],$fot(or(a,t7))]]) ).
cnf(refute_0_7561,plain,
( or(carry,t7) != or(a,t7)
| xor(t6,or(carry,t7)) = xor(t6,or(a,t7)) ),
inference(resolve,[$cnf( $equal(xor(t6,or(carry,t7)),xor(t6,or(carry,t7))) )],[refute_0_7559,refute_0_7560]) ).
cnf(refute_0_7562,plain,
xor(t6,or(carry,t7)) = xor(t6,or(a,t7)),
inference(resolve,[$cnf( $equal(or(carry,t7),or(a,t7)) )],[refute_0_2743,refute_0_7561]) ).
cnf(refute_0_7563,plain,
or(X,xor(t6,or(carry,t7))) = or(X,xor(t6,or(carry,t7))),
introduced(tautology,[refl,[$fot(or(X,xor(t6,or(carry,t7))))]]) ).
cnf(refute_0_7564,plain,
( or(X,xor(t6,or(carry,t7))) != or(X,xor(t6,or(carry,t7)))
| xor(t6,or(carry,t7)) != xor(t6,or(a,t7))
| or(X,xor(t6,or(carry,t7))) = or(X,xor(t6,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(X,xor(t6,or(carry,t7))),or(X,xor(t6,or(carry,t7)))) ),[1,1],$fot(xor(t6,or(a,t7)))]]) ).
cnf(refute_0_7565,plain,
( xor(t6,or(carry,t7)) != xor(t6,or(a,t7))
| or(X,xor(t6,or(carry,t7))) = or(X,xor(t6,or(a,t7))) ),
inference(resolve,[$cnf( $equal(or(X,xor(t6,or(carry,t7))),or(X,xor(t6,or(carry,t7)))) )],[refute_0_7563,refute_0_7564]) ).
cnf(refute_0_7566,plain,
or(X,xor(t6,or(carry,t7))) = or(X,xor(t6,or(a,t7))),
inference(resolve,[$cnf( $equal(xor(t6,or(carry,t7)),xor(t6,or(a,t7))) )],[refute_0_7562,refute_0_7565]) ).
cnf(refute_0_7567,plain,
not(or(X,xor(t6,or(carry,t7)))) = not(or(X,xor(t6,or(carry,t7)))),
introduced(tautology,[refl,[$fot(not(or(X,xor(t6,or(carry,t7)))))]]) ).
cnf(refute_0_7568,plain,
( not(or(X,xor(t6,or(carry,t7)))) != not(or(X,xor(t6,or(carry,t7))))
| or(X,xor(t6,or(carry,t7))) != or(X,xor(t6,or(a,t7)))
| not(or(X,xor(t6,or(carry,t7)))) = not(or(X,xor(t6,or(a,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t6,or(carry,t7)))),not(or(X,xor(t6,or(carry,t7))))) ),[1,0],$fot(or(X,xor(t6,or(a,t7))))]]) ).
cnf(refute_0_7569,plain,
( or(X,xor(t6,or(carry,t7))) != or(X,xor(t6,or(a,t7)))
| not(or(X,xor(t6,or(carry,t7)))) = not(or(X,xor(t6,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(not(or(X,xor(t6,or(carry,t7)))),not(or(X,xor(t6,or(carry,t7))))) )],[refute_0_7567,refute_0_7568]) ).
cnf(refute_0_7570,plain,
not(or(X,xor(t6,or(carry,t7)))) = not(or(X,xor(t6,or(a,t7)))),
inference(resolve,[$cnf( $equal(or(X,xor(t6,or(carry,t7))),or(X,xor(t6,or(a,t7)))) )],[refute_0_7566,refute_0_7569]) ).
cnf(refute_0_7571,plain,
( not(or(X,xor(t6,or(carry,t7)))) != and(t6,and(not(X),or(carry,t7)))
| not(or(X,xor(t6,or(carry,t7)))) != not(or(X,xor(t6,or(a,t7))))
| not(or(X,xor(t6,or(a,t7)))) = and(t6,and(not(X),or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t6,or(carry,t7)))),and(t6,and(not(X),or(carry,t7)))) ),[0],$fot(not(or(X,xor(t6,or(a,t7)))))]]) ).
cnf(refute_0_7572,plain,
( not(or(X,xor(t6,or(carry,t7)))) != and(t6,and(not(X),or(carry,t7)))
| not(or(X,xor(t6,or(a,t7)))) = and(t6,and(not(X),or(carry,t7))) ),
inference(resolve,[$cnf( $equal(not(or(X,xor(t6,or(carry,t7)))),not(or(X,xor(t6,or(a,t7))))) )],[refute_0_7570,refute_0_7571]) ).
cnf(refute_0_7573,plain,
and(not(X),or(carry,t7)) = and(not(X),or(carry,t7)),
introduced(tautology,[refl,[$fot(and(not(X),or(carry,t7)))]]) ).
cnf(refute_0_7574,plain,
( and(not(X),or(carry,t7)) != and(not(X),or(carry,t7))
| or(carry,t7) != or(a,t7)
| and(not(X),or(carry,t7)) = and(not(X),or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(X),or(carry,t7)),and(not(X),or(carry,t7))) ),[1,1],$fot(or(a,t7))]]) ).
cnf(refute_0_7575,plain,
( or(carry,t7) != or(a,t7)
| and(not(X),or(carry,t7)) = and(not(X),or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(not(X),or(carry,t7)),and(not(X),or(carry,t7))) )],[refute_0_7573,refute_0_7574]) ).
cnf(refute_0_7576,plain,
and(not(X),or(carry,t7)) = and(not(X),or(a,t7)),
inference(resolve,[$cnf( $equal(or(carry,t7),or(a,t7)) )],[refute_0_2743,refute_0_7575]) ).
cnf(refute_0_7577,plain,
and(t6,and(not(X),or(carry,t7))) = and(t6,and(not(X),or(carry,t7))),
introduced(tautology,[refl,[$fot(and(t6,and(not(X),or(carry,t7))))]]) ).
cnf(refute_0_7578,plain,
( and(not(X),or(carry,t7)) != and(not(X),or(a,t7))
| and(t6,and(not(X),or(carry,t7))) != and(t6,and(not(X),or(carry,t7)))
| and(t6,and(not(X),or(carry,t7))) = and(t6,and(not(X),or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,and(not(X),or(carry,t7))),and(t6,and(not(X),or(carry,t7)))) ),[1,1],$fot(and(not(X),or(a,t7)))]]) ).
cnf(refute_0_7579,plain,
( and(not(X),or(carry,t7)) != and(not(X),or(a,t7))
| and(t6,and(not(X),or(carry,t7))) = and(t6,and(not(X),or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(t6,and(not(X),or(carry,t7))),and(t6,and(not(X),or(carry,t7)))) )],[refute_0_7577,refute_0_7578]) ).
cnf(refute_0_7580,plain,
and(t6,and(not(X),or(carry,t7))) = and(t6,and(not(X),or(a,t7))),
inference(resolve,[$cnf( $equal(and(not(X),or(carry,t7)),and(not(X),or(a,t7))) )],[refute_0_7576,refute_0_7579]) ).
cnf(refute_0_7581,plain,
( and(t6,and(not(X),or(carry,t7))) != and(t6,and(not(X),or(a,t7)))
| not(or(X,xor(t6,or(a,t7)))) != and(t6,and(not(X),or(carry,t7)))
| not(or(X,xor(t6,or(a,t7)))) = and(t6,and(not(X),or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t6,or(a,t7)))),and(t6,and(not(X),or(carry,t7)))) ),[1],$fot(and(t6,and(not(X),or(a,t7))))]]) ).
cnf(refute_0_7582,plain,
( not(or(X,xor(t6,or(a,t7)))) != and(t6,and(not(X),or(carry,t7)))
| not(or(X,xor(t6,or(a,t7)))) = and(t6,and(not(X),or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(t6,and(not(X),or(carry,t7))),and(t6,and(not(X),or(a,t7)))) )],[refute_0_7580,refute_0_7581]) ).
cnf(refute_0_7583,plain,
( not(or(X,xor(t6,or(carry,t7)))) != and(t6,and(not(X),or(carry,t7)))
| not(or(X,xor(t6,or(a,t7)))) = and(t6,and(not(X),or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(or(X,xor(t6,or(a,t7)))),and(t6,and(not(X),or(carry,t7)))) )],[refute_0_7572,refute_0_7582]) ).
cnf(refute_0_7584,plain,
not(or(X,xor(t6,or(a,t7)))) = and(t6,and(not(X),or(a,t7))),
inference(resolve,[$cnf( $equal(not(or(X,xor(t6,or(carry,t7)))),and(t6,and(not(X),or(carry,t7)))) )],[refute_0_7558,refute_0_7583]) ).
cnf(refute_0_7585,plain,
( not(or(X,xor(t6,or(a,t7)))) != and(t6,and(not(X),or(a,t7)))
| and(t6,and(not(X),or(a,t7))) = not(or(X,xor(t6,or(a,t7)))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X,xor(t6,or(a,t7)))))),bind(Y0,$fot(and(t6,and(not(X),or(a,t7)))))]]) ).
cnf(refute_0_7586,plain,
and(t6,and(not(X),or(a,t7))) = not(or(X,xor(t6,or(a,t7)))),
inference(resolve,[$cnf( $equal(not(or(X,xor(t6,or(a,t7)))),and(t6,and(not(X),or(a,t7)))) )],[refute_0_7584,refute_0_7585]) ).
cnf(refute_0_7587,plain,
and(t6,and(not(t5),or(a,t7))) = not(or(t5,xor(t6,or(a,t7)))),
inference(subst,[],[refute_0_7586:[bind(X,$fot(t5))]]) ).
cnf(refute_0_7588,plain,
( and(t6,and(not(t5),or(a,t7))) != not(or(t5,xor(t6,or(a,t7))))
| not(t5) != and(t6,and(not(t5),or(a,t7)))
| not(t5) = not(or(t5,xor(t6,or(a,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(t5),and(t6,and(not(t5),or(a,t7)))) ),[1],$fot(not(or(t5,xor(t6,or(a,t7)))))]]) ).
cnf(refute_0_7589,plain,
( not(t5) != and(t6,and(not(t5),or(a,t7)))
| not(t5) = not(or(t5,xor(t6,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(and(t6,and(not(t5),or(a,t7))),not(or(t5,xor(t6,or(a,t7))))) )],[refute_0_7587,refute_0_7588]) ).
cnf(refute_0_7590,plain,
not(t5) = not(or(t5,xor(t6,or(a,t7)))),
inference(resolve,[$cnf( $equal(not(t5),and(t6,and(not(t5),or(a,t7)))) )],[refute_0_7503,refute_0_7589]) ).
cnf(refute_0_7591,plain,
( not(t5) != not(or(t5,xor(t6,or(a,t7))))
| not(or(t5,xor(t6,or(a,t7)))) = not(t5) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t5))),bind(Y0,$fot(not(or(t5,xor(t6,or(a,t7))))))]]) ).
cnf(refute_0_7592,plain,
not(or(t5,xor(t6,or(a,t7)))) = not(t5),
inference(resolve,[$cnf( $equal(not(t5),not(or(t5,xor(t6,or(a,t7))))) )],[refute_0_7590,refute_0_7591]) ).
cnf(refute_0_7593,plain,
( not(not(or(t5,xor(t6,or(a,t7))))) != or(t5,xor(t6,or(a,t7)))
| not(or(t5,xor(t6,or(a,t7)))) != not(t5)
| not(not(t5)) = or(t5,xor(t6,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(or(t5,xor(t6,or(a,t7))))),or(t5,xor(t6,or(a,t7)))) ),[0,0],$fot(not(t5))]]) ).
cnf(refute_0_7594,plain,
( not(not(or(t5,xor(t6,or(a,t7))))) != or(t5,xor(t6,or(a,t7)))
| not(not(t5)) = or(t5,xor(t6,or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(or(t5,xor(t6,or(a,t7)))),not(t5)) )],[refute_0_7592,refute_0_7593]) ).
cnf(refute_0_7595,plain,
not(not(t5)) = or(t5,xor(t6,or(a,t7))),
inference(resolve,[$cnf( $equal(not(not(or(t5,xor(t6,or(a,t7))))),or(t5,xor(t6,or(a,t7)))) )],[refute_0_7472,refute_0_7594]) ).
cnf(refute_0_7596,plain,
( not(not(t5)) != or(t5,xor(t6,or(a,t7)))
| not(not(t5)) != t5
| t5 = or(t5,xor(t6,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(t5)),or(t5,xor(t6,or(a,t7)))) ),[0],$fot(t5)]]) ).
cnf(refute_0_7597,plain,
( not(not(t5)) != or(t5,xor(t6,or(a,t7)))
| t5 = or(t5,xor(t6,or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(not(t5)),t5) )],[refute_0_4051,refute_0_7596]) ).
cnf(refute_0_7598,plain,
t5 = or(t5,xor(t6,or(a,t7))),
inference(resolve,[$cnf( $equal(not(not(t5)),or(t5,xor(t6,or(a,t7)))) )],[refute_0_7595,refute_0_7597]) ).
cnf(refute_0_7599,plain,
( t5 != or(t5,xor(t6,or(a,t7)))
| or(t5,xor(t6,or(a,t7))) = t5 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(t5)),bind(Y0,$fot(or(t5,xor(t6,or(a,t7)))))]]) ).
cnf(refute_0_7600,plain,
or(t5,xor(t6,or(a,t7))) = t5,
inference(resolve,[$cnf( $equal(t5,or(t5,xor(t6,or(a,t7)))) )],[refute_0_7598,refute_0_7599]) ).
cnf(refute_0_7601,plain,
( and(xor(t6,or(a,t7)),or(t5,xor(t6,or(a,t7)))) != xor(t6,or(a,t7))
| or(t5,xor(t6,or(a,t7))) != t5
| and(xor(t6,or(a,t7)),t5) = xor(t6,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t6,or(a,t7)),or(t5,xor(t6,or(a,t7)))),xor(t6,or(a,t7))) ),[0,1],$fot(t5)]]) ).
cnf(refute_0_7602,plain,
( and(xor(t6,or(a,t7)),or(t5,xor(t6,or(a,t7)))) != xor(t6,or(a,t7))
| and(xor(t6,or(a,t7)),t5) = xor(t6,or(a,t7)) ),
inference(resolve,[$cnf( $equal(or(t5,xor(t6,or(a,t7))),t5) )],[refute_0_7600,refute_0_7601]) ).
cnf(refute_0_7603,plain,
and(xor(t6,or(a,t7)),t5) = xor(t6,or(a,t7)),
inference(resolve,[$cnf( $equal(and(xor(t6,or(a,t7)),or(t5,xor(t6,or(a,t7)))),xor(t6,or(a,t7))) )],[refute_0_7471,refute_0_7602]) ).
cnf(refute_0_7604,plain,
and(xor(t6,or(a,t7)),t5) = and(t5,xor(t6,or(a,t7))),
inference(subst,[],[refute_0_116:[bind(X,$fot(t5)),bind(Y,$fot(xor(t6,or(a,t7))))]]) ).
cnf(refute_0_7605,plain,
( and(xor(t6,or(a,t7)),t5) != and(t5,xor(t6,or(a,t7)))
| and(xor(t6,or(a,t7)),t5) != xor(t6,or(a,t7))
| and(t5,xor(t6,or(a,t7))) = xor(t6,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t6,or(a,t7)),t5),xor(t6,or(a,t7))) ),[0],$fot(and(t5,xor(t6,or(a,t7))))]]) ).
cnf(refute_0_7606,plain,
( and(xor(t6,or(a,t7)),t5) != xor(t6,or(a,t7))
| and(t5,xor(t6,or(a,t7))) = xor(t6,or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(xor(t6,or(a,t7)),t5),and(t5,xor(t6,or(a,t7)))) )],[refute_0_7604,refute_0_7605]) ).
cnf(refute_0_7607,plain,
and(t5,xor(t6,or(a,t7))) = xor(t6,or(a,t7)),
inference(resolve,[$cnf( $equal(and(xor(t6,or(a,t7)),t5),xor(t6,or(a,t7))) )],[refute_0_7603,refute_0_7606]) ).
cnf(refute_0_7608,plain,
( and(not(carry),xor(t6,or(a,t7))) != and(t1,and(t5,xor(t6,or(a,t7))))
| and(t5,xor(t6,or(a,t7))) != xor(t6,or(a,t7))
| and(not(carry),xor(t6,or(a,t7))) = and(t1,xor(t6,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),xor(t6,or(a,t7))),and(t1,and(t5,xor(t6,or(a,t7))))) ),[1,1],$fot(xor(t6,or(a,t7)))]]) ).
cnf(refute_0_7609,plain,
( and(not(carry),xor(t6,or(a,t7))) != and(t1,and(t5,xor(t6,or(a,t7))))
| and(not(carry),xor(t6,or(a,t7))) = and(t1,xor(t6,or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(t5,xor(t6,or(a,t7))),xor(t6,or(a,t7))) )],[refute_0_7607,refute_0_7608]) ).
cnf(refute_0_7610,plain,
and(not(carry),xor(t6,or(a,t7))) = and(t1,xor(t6,or(a,t7))),
inference(resolve,[$cnf( $equal(and(not(carry),xor(t6,or(a,t7))),and(t1,and(t5,xor(t6,or(a,t7))))) )],[refute_0_7470,refute_0_7609]) ).
cnf(refute_0_7611,plain,
not(or(X_25,not(xor(t6,or(carry,t7))))) = and(not(X_25),xor(t6,or(carry,t7))),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(t6,or(carry,t7))))]]) ).
cnf(refute_0_7612,plain,
( not(or(X_25,not(xor(t6,or(carry,t7))))) != and(not(X_25),xor(t6,or(carry,t7)))
| not(xor(t6,or(carry,t7))) != and(t6,or(carry,t7))
| not(or(X_25,and(t6,or(carry,t7)))) = and(not(X_25),xor(t6,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X_25,not(xor(t6,or(carry,t7))))),and(not(X_25),xor(t6,or(carry,t7)))) ),[0,0,1],$fot(and(t6,or(carry,t7)))]]) ).
cnf(refute_0_7613,plain,
( not(or(X_25,not(xor(t6,or(carry,t7))))) != and(not(X_25),xor(t6,or(carry,t7)))
| not(or(X_25,and(t6,or(carry,t7)))) = and(not(X_25),xor(t6,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(not(xor(t6,or(carry,t7))),and(t6,or(carry,t7))) )],[refute_0_7551,refute_0_7612]) ).
cnf(refute_0_7614,plain,
not(or(X_25,and(t6,or(carry,t7)))) = and(not(X_25),xor(t6,or(carry,t7))),
inference(resolve,[$cnf( $equal(not(or(X_25,not(xor(t6,or(carry,t7))))),and(not(X_25),xor(t6,or(carry,t7)))) )],[refute_0_7611,refute_0_7613]) ).
cnf(refute_0_7615,plain,
and(t6,or(carry,t7)) = and(t6,or(carry,t7)),
introduced(tautology,[refl,[$fot(and(t6,or(carry,t7)))]]) ).
cnf(refute_0_7616,plain,
( and(t6,or(carry,t7)) != and(t6,or(carry,t7))
| or(carry,t7) != or(a,t7)
| and(t6,or(carry,t7)) = and(t6,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(carry,t7)),and(t6,or(carry,t7))) ),[1,1],$fot(or(a,t7))]]) ).
cnf(refute_0_7617,plain,
( or(carry,t7) != or(a,t7)
| and(t6,or(carry,t7)) = and(t6,or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(t6,or(carry,t7)),and(t6,or(carry,t7))) )],[refute_0_7615,refute_0_7616]) ).
cnf(refute_0_7618,plain,
and(t6,or(carry,t7)) = and(t6,or(a,t7)),
inference(resolve,[$cnf( $equal(or(carry,t7),or(a,t7)) )],[refute_0_2743,refute_0_7617]) ).
cnf(refute_0_7619,plain,
or(X_25,and(t6,or(carry,t7))) = or(X_25,and(t6,or(carry,t7))),
introduced(tautology,[refl,[$fot(or(X_25,and(t6,or(carry,t7))))]]) ).
cnf(refute_0_7620,plain,
( and(t6,or(carry,t7)) != and(t6,or(a,t7))
| or(X_25,and(t6,or(carry,t7))) != or(X_25,and(t6,or(carry,t7)))
| or(X_25,and(t6,or(carry,t7))) = or(X_25,and(t6,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(X_25,and(t6,or(carry,t7))),or(X_25,and(t6,or(carry,t7)))) ),[1,1],$fot(and(t6,or(a,t7)))]]) ).
cnf(refute_0_7621,plain,
( and(t6,or(carry,t7)) != and(t6,or(a,t7))
| or(X_25,and(t6,or(carry,t7))) = or(X_25,and(t6,or(a,t7))) ),
inference(resolve,[$cnf( $equal(or(X_25,and(t6,or(carry,t7))),or(X_25,and(t6,or(carry,t7)))) )],[refute_0_7619,refute_0_7620]) ).
cnf(refute_0_7622,plain,
or(X_25,and(t6,or(carry,t7))) = or(X_25,and(t6,or(a,t7))),
inference(resolve,[$cnf( $equal(and(t6,or(carry,t7)),and(t6,or(a,t7))) )],[refute_0_7618,refute_0_7621]) ).
cnf(refute_0_7623,plain,
not(or(X_25,and(t6,or(carry,t7)))) = not(or(X_25,and(t6,or(carry,t7)))),
introduced(tautology,[refl,[$fot(not(or(X_25,and(t6,or(carry,t7)))))]]) ).
cnf(refute_0_7624,plain,
( not(or(X_25,and(t6,or(carry,t7)))) != not(or(X_25,and(t6,or(carry,t7))))
| or(X_25,and(t6,or(carry,t7))) != or(X_25,and(t6,or(a,t7)))
| not(or(X_25,and(t6,or(carry,t7)))) = not(or(X_25,and(t6,or(a,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X_25,and(t6,or(carry,t7)))),not(or(X_25,and(t6,or(carry,t7))))) ),[1,0],$fot(or(X_25,and(t6,or(a,t7))))]]) ).
cnf(refute_0_7625,plain,
( or(X_25,and(t6,or(carry,t7))) != or(X_25,and(t6,or(a,t7)))
| not(or(X_25,and(t6,or(carry,t7)))) = not(or(X_25,and(t6,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(not(or(X_25,and(t6,or(carry,t7)))),not(or(X_25,and(t6,or(carry,t7))))) )],[refute_0_7623,refute_0_7624]) ).
cnf(refute_0_7626,plain,
not(or(X_25,and(t6,or(carry,t7)))) = not(or(X_25,and(t6,or(a,t7)))),
inference(resolve,[$cnf( $equal(or(X_25,and(t6,or(carry,t7))),or(X_25,and(t6,or(a,t7)))) )],[refute_0_7622,refute_0_7625]) ).
cnf(refute_0_7627,plain,
( not(or(X_25,and(t6,or(carry,t7)))) != and(not(X_25),xor(t6,or(carry,t7)))
| not(or(X_25,and(t6,or(carry,t7)))) != not(or(X_25,and(t6,or(a,t7))))
| not(or(X_25,and(t6,or(a,t7)))) = and(not(X_25),xor(t6,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X_25,and(t6,or(carry,t7)))),and(not(X_25),xor(t6,or(carry,t7)))) ),[0],$fot(not(or(X_25,and(t6,or(a,t7)))))]]) ).
cnf(refute_0_7628,plain,
( not(or(X_25,and(t6,or(carry,t7)))) != and(not(X_25),xor(t6,or(carry,t7)))
| not(or(X_25,and(t6,or(a,t7)))) = and(not(X_25),xor(t6,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(not(or(X_25,and(t6,or(carry,t7)))),not(or(X_25,and(t6,or(a,t7))))) )],[refute_0_7626,refute_0_7627]) ).
cnf(refute_0_7629,plain,
and(not(X_25),xor(t6,or(carry,t7))) = and(not(X_25),xor(t6,or(carry,t7))),
introduced(tautology,[refl,[$fot(and(not(X_25),xor(t6,or(carry,t7))))]]) ).
cnf(refute_0_7630,plain,
( and(not(X_25),xor(t6,or(carry,t7))) != and(not(X_25),xor(t6,or(carry,t7)))
| xor(t6,or(carry,t7)) != xor(t6,or(a,t7))
| and(not(X_25),xor(t6,or(carry,t7))) = and(not(X_25),xor(t6,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(X_25),xor(t6,or(carry,t7))),and(not(X_25),xor(t6,or(carry,t7)))) ),[1,1],$fot(xor(t6,or(a,t7)))]]) ).
cnf(refute_0_7631,plain,
( xor(t6,or(carry,t7)) != xor(t6,or(a,t7))
| and(not(X_25),xor(t6,or(carry,t7))) = and(not(X_25),xor(t6,or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(not(X_25),xor(t6,or(carry,t7))),and(not(X_25),xor(t6,or(carry,t7)))) )],[refute_0_7629,refute_0_7630]) ).
cnf(refute_0_7632,plain,
and(not(X_25),xor(t6,or(carry,t7))) = and(not(X_25),xor(t6,or(a,t7))),
inference(resolve,[$cnf( $equal(xor(t6,or(carry,t7)),xor(t6,or(a,t7))) )],[refute_0_7562,refute_0_7631]) ).
cnf(refute_0_7633,plain,
( and(not(X_25),xor(t6,or(carry,t7))) != and(not(X_25),xor(t6,or(a,t7)))
| not(or(X_25,and(t6,or(a,t7)))) != and(not(X_25),xor(t6,or(carry,t7)))
| not(or(X_25,and(t6,or(a,t7)))) = and(not(X_25),xor(t6,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X_25,and(t6,or(a,t7)))),and(not(X_25),xor(t6,or(carry,t7)))) ),[1],$fot(and(not(X_25),xor(t6,or(a,t7))))]]) ).
cnf(refute_0_7634,plain,
( not(or(X_25,and(t6,or(a,t7)))) != and(not(X_25),xor(t6,or(carry,t7)))
| not(or(X_25,and(t6,or(a,t7)))) = and(not(X_25),xor(t6,or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(not(X_25),xor(t6,or(carry,t7))),and(not(X_25),xor(t6,or(a,t7)))) )],[refute_0_7632,refute_0_7633]) ).
cnf(refute_0_7635,plain,
( not(or(X_25,and(t6,or(carry,t7)))) != and(not(X_25),xor(t6,or(carry,t7)))
| not(or(X_25,and(t6,or(a,t7)))) = and(not(X_25),xor(t6,or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(or(X_25,and(t6,or(a,t7)))),and(not(X_25),xor(t6,or(carry,t7)))) )],[refute_0_7628,refute_0_7634]) ).
cnf(refute_0_7636,plain,
not(or(X_25,and(t6,or(a,t7)))) = and(not(X_25),xor(t6,or(a,t7))),
inference(resolve,[$cnf( $equal(not(or(X_25,and(t6,or(carry,t7)))),and(not(X_25),xor(t6,or(carry,t7)))) )],[refute_0_7614,refute_0_7635]) ).
cnf(refute_0_7637,plain,
( not(or(X_25,and(t6,or(a,t7)))) != and(not(X_25),xor(t6,or(a,t7)))
| and(not(X_25),xor(t6,or(a,t7))) = not(or(X_25,and(t6,or(a,t7)))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X_25,and(t6,or(a,t7)))))),bind(Y0,$fot(and(not(X_25),xor(t6,or(a,t7)))))]]) ).
cnf(refute_0_7638,plain,
and(not(X_25),xor(t6,or(a,t7))) = not(or(X_25,and(t6,or(a,t7)))),
inference(resolve,[$cnf( $equal(not(or(X_25,and(t6,or(a,t7)))),and(not(X_25),xor(t6,or(a,t7)))) )],[refute_0_7636,refute_0_7637]) ).
cnf(refute_0_7639,plain,
and(not(carry),xor(t6,or(a,t7))) = not(or(carry,and(t6,or(a,t7)))),
inference(subst,[],[refute_0_7638:[bind(X_25,$fot(carry))]]) ).
cnf(refute_0_7640,plain,
( and(not(carry),xor(t6,or(a,t7))) != and(t1,xor(t6,or(a,t7)))
| and(not(carry),xor(t6,or(a,t7))) != not(or(carry,and(t6,or(a,t7))))
| not(or(carry,and(t6,or(a,t7)))) = and(t1,xor(t6,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),xor(t6,or(a,t7))),and(t1,xor(t6,or(a,t7)))) ),[0],$fot(not(or(carry,and(t6,or(a,t7)))))]]) ).
cnf(refute_0_7641,plain,
( and(not(carry),xor(t6,or(a,t7))) != and(t1,xor(t6,or(a,t7)))
| not(or(carry,and(t6,or(a,t7)))) = and(t1,xor(t6,or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(not(carry),xor(t6,or(a,t7))),not(or(carry,and(t6,or(a,t7))))) )],[refute_0_7639,refute_0_7640]) ).
cnf(refute_0_7642,plain,
not(or(carry,and(t6,or(a,t7)))) = and(t1,xor(t6,or(a,t7))),
inference(resolve,[$cnf( $equal(and(not(carry),xor(t6,or(a,t7))),and(t1,xor(t6,or(a,t7)))) )],[refute_0_7610,refute_0_7641]) ).
cnf(refute_0_7643,plain,
( not(or(carry,and(t6,or(a,t7)))) != and(t1,xor(t6,or(a,t7)))
| not(or(not(X),or(carry,and(t6,or(a,t7))))) != and(X,not(or(carry,and(t6,or(a,t7)))))
| not(or(not(X),or(carry,and(t6,or(a,t7))))) = and(X,and(t1,xor(t6,or(a,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(X),or(carry,and(t6,or(a,t7))))),and(X,not(or(carry,and(t6,or(a,t7)))))) ),[1,1],$fot(and(t1,xor(t6,or(a,t7))))]]) ).
cnf(refute_0_7644,plain,
( not(or(not(X),or(carry,and(t6,or(a,t7))))) != and(X,not(or(carry,and(t6,or(a,t7)))))
| not(or(not(X),or(carry,and(t6,or(a,t7))))) = and(X,and(t1,xor(t6,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(not(or(carry,and(t6,or(a,t7)))),and(t1,xor(t6,or(a,t7)))) )],[refute_0_7642,refute_0_7643]) ).
cnf(refute_0_7645,plain,
not(or(not(X),or(carry,and(t6,or(a,t7))))) = and(X,and(t1,xor(t6,or(a,t7)))),
inference(resolve,[$cnf( $equal(not(or(not(X),or(carry,and(t6,or(a,t7))))),and(X,not(or(carry,and(t6,or(a,t7)))))) )],[refute_0_7469,refute_0_7644]) ).
cnf(refute_0_7646,plain,
and(and(t1,xor(t6,or(a,t7))),X) = and(t1,and(xor(t6,or(a,t7)),X)),
inference(subst,[],[and_associative:[bind(X,$fot(t1)),bind(Y,$fot(xor(t6,or(a,t7)))),bind(Z,$fot(X))]]) ).
cnf(refute_0_7647,plain,
and(not(or(carry,and(t6,or(a,t7)))),X) = and(not(or(carry,and(t6,or(a,t7)))),X),
introduced(tautology,[refl,[$fot(and(not(or(carry,and(t6,or(a,t7)))),X))]]) ).
cnf(refute_0_7648,plain,
( and(not(or(carry,and(t6,or(a,t7)))),X) != and(not(or(carry,and(t6,or(a,t7)))),X)
| not(or(carry,and(t6,or(a,t7)))) != and(t1,xor(t6,or(a,t7)))
| and(not(or(carry,and(t6,or(a,t7)))),X) = and(and(t1,xor(t6,or(a,t7))),X) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(or(carry,and(t6,or(a,t7)))),X),and(not(or(carry,and(t6,or(a,t7)))),X)) ),[1,0],$fot(and(t1,xor(t6,or(a,t7))))]]) ).
cnf(refute_0_7649,plain,
( not(or(carry,and(t6,or(a,t7)))) != and(t1,xor(t6,or(a,t7)))
| and(not(or(carry,and(t6,or(a,t7)))),X) = and(and(t1,xor(t6,or(a,t7))),X) ),
inference(resolve,[$cnf( $equal(and(not(or(carry,and(t6,or(a,t7)))),X),and(not(or(carry,and(t6,or(a,t7)))),X)) )],[refute_0_7647,refute_0_7648]) ).
cnf(refute_0_7650,plain,
and(not(or(carry,and(t6,or(a,t7)))),X) = and(and(t1,xor(t6,or(a,t7))),X),
inference(resolve,[$cnf( $equal(not(or(carry,and(t6,or(a,t7)))),and(t1,xor(t6,or(a,t7)))) )],[refute_0_7642,refute_0_7649]) ).
cnf(refute_0_7651,plain,
( and(and(t1,xor(t6,or(a,t7))),X) != and(t1,and(xor(t6,or(a,t7)),X))
| and(not(or(carry,and(t6,or(a,t7)))),X) != and(and(t1,xor(t6,or(a,t7))),X)
| and(not(or(carry,and(t6,or(a,t7)))),X) = and(t1,and(xor(t6,or(a,t7)),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(or(carry,and(t6,or(a,t7)))),X))),bind(Y0,$fot(and(and(t1,xor(t6,or(a,t7))),X))),bind(Z0,$fot(and(t1,and(xor(t6,or(a,t7)),X))))]]) ).
cnf(refute_0_7652,plain,
( and(and(t1,xor(t6,or(a,t7))),X) != and(t1,and(xor(t6,or(a,t7)),X))
| and(not(or(carry,and(t6,or(a,t7)))),X) = and(t1,and(xor(t6,or(a,t7)),X)) ),
inference(resolve,[$cnf( $equal(and(not(or(carry,and(t6,or(a,t7)))),X),and(and(t1,xor(t6,or(a,t7))),X)) )],[refute_0_7650,refute_0_7651]) ).
cnf(refute_0_7653,plain,
and(not(or(carry,and(t6,or(a,t7)))),X) = and(t1,and(xor(t6,or(a,t7)),X)),
inference(resolve,[$cnf( $equal(and(and(t1,xor(t6,or(a,t7))),X),and(t1,and(xor(t6,or(a,t7)),X))) )],[refute_0_7646,refute_0_7652]) ).
cnf(refute_0_7654,plain,
not(or(carry,or(and(t6,or(a,t7)),not(X)))) = and(not(or(carry,and(t6,or(a,t7)))),X),
inference(subst,[],[refute_0_7097:[bind(X,$fot(carry)),bind(Y,$fot(and(t6,or(a,t7)))),bind(X_78,$fot(X))]]) ).
cnf(refute_0_7655,plain,
not(or(not(X),or(carry,and(t6,or(a,t7))))) = not(or(carry,or(and(t6,or(a,t7)),not(X)))),
inference(subst,[],[refute_0_2912:[bind(X_26,$fot(not(X))),bind(X_37,$fot(carry)),bind(X_38,$fot(and(t6,or(a,t7))))]]) ).
cnf(refute_0_7656,plain,
( not(or(carry,or(and(t6,or(a,t7)),not(X)))) != and(not(or(carry,and(t6,or(a,t7)))),X)
| not(or(not(X),or(carry,and(t6,or(a,t7))))) != not(or(carry,or(and(t6,or(a,t7)),not(X))))
| not(or(not(X),or(carry,and(t6,or(a,t7))))) = and(not(or(carry,and(t6,or(a,t7)))),X) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(not(X),or(carry,and(t6,or(a,t7))))))),bind(Y0,$fot(not(or(carry,or(and(t6,or(a,t7)),not(X)))))),bind(Z0,$fot(and(not(or(carry,and(t6,or(a,t7)))),X)))]]) ).
cnf(refute_0_7657,plain,
( not(or(carry,or(and(t6,or(a,t7)),not(X)))) != and(not(or(carry,and(t6,or(a,t7)))),X)
| not(or(not(X),or(carry,and(t6,or(a,t7))))) = and(not(or(carry,and(t6,or(a,t7)))),X) ),
inference(resolve,[$cnf( $equal(not(or(not(X),or(carry,and(t6,or(a,t7))))),not(or(carry,or(and(t6,or(a,t7)),not(X))))) )],[refute_0_7655,refute_0_7656]) ).
cnf(refute_0_7658,plain,
not(or(not(X),or(carry,and(t6,or(a,t7))))) = and(not(or(carry,and(t6,or(a,t7)))),X),
inference(resolve,[$cnf( $equal(not(or(carry,or(and(t6,or(a,t7)),not(X)))),and(not(or(carry,and(t6,or(a,t7)))),X)) )],[refute_0_7654,refute_0_7657]) ).
cnf(refute_0_7659,plain,
( and(not(or(carry,and(t6,or(a,t7)))),X) != and(t1,and(xor(t6,or(a,t7)),X))
| not(or(not(X),or(carry,and(t6,or(a,t7))))) != and(not(or(carry,and(t6,or(a,t7)))),X)
| not(or(not(X),or(carry,and(t6,or(a,t7))))) = and(t1,and(xor(t6,or(a,t7)),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(not(X),or(carry,and(t6,or(a,t7))))))),bind(Y0,$fot(and(not(or(carry,and(t6,or(a,t7)))),X))),bind(Z0,$fot(and(t1,and(xor(t6,or(a,t7)),X))))]]) ).
cnf(refute_0_7660,plain,
( and(not(or(carry,and(t6,or(a,t7)))),X) != and(t1,and(xor(t6,or(a,t7)),X))
| not(or(not(X),or(carry,and(t6,or(a,t7))))) = and(t1,and(xor(t6,or(a,t7)),X)) ),
inference(resolve,[$cnf( $equal(not(or(not(X),or(carry,and(t6,or(a,t7))))),and(not(or(carry,and(t6,or(a,t7)))),X)) )],[refute_0_7658,refute_0_7659]) ).
cnf(refute_0_7661,plain,
not(or(not(X),or(carry,and(t6,or(a,t7))))) = and(t1,and(xor(t6,or(a,t7)),X)),
inference(resolve,[$cnf( $equal(and(not(or(carry,and(t6,or(a,t7)))),X),and(t1,and(xor(t6,or(a,t7)),X))) )],[refute_0_7653,refute_0_7660]) ).
cnf(refute_0_7662,plain,
( not(or(not(X),or(carry,and(t6,or(a,t7))))) != and(X,and(t1,xor(t6,or(a,t7))))
| not(or(not(X),or(carry,and(t6,or(a,t7))))) != and(t1,and(xor(t6,or(a,t7)),X))
| and(t1,and(xor(t6,or(a,t7)),X)) = and(X,and(t1,xor(t6,or(a,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(X),or(carry,and(t6,or(a,t7))))),and(X,and(t1,xor(t6,or(a,t7))))) ),[0],$fot(and(t1,and(xor(t6,or(a,t7)),X)))]]) ).
cnf(refute_0_7663,plain,
( not(or(not(X),or(carry,and(t6,or(a,t7))))) != and(X,and(t1,xor(t6,or(a,t7))))
| and(t1,and(xor(t6,or(a,t7)),X)) = and(X,and(t1,xor(t6,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(not(or(not(X),or(carry,and(t6,or(a,t7))))),and(t1,and(xor(t6,or(a,t7)),X))) )],[refute_0_7661,refute_0_7662]) ).
cnf(refute_0_7664,plain,
and(t1,and(xor(t6,or(a,t7)),X)) = and(X,and(t1,xor(t6,or(a,t7)))),
inference(resolve,[$cnf( $equal(not(or(not(X),or(carry,and(t6,or(a,t7))))),and(X,and(t1,xor(t6,or(a,t7))))) )],[refute_0_7645,refute_0_7663]) ).
cnf(refute_0_7665,plain,
and(t1,and(t1,X)) = and(t1,X),
inference(subst,[],[refute_0_3243:[bind(X_221,$fot(t1)),bind(X_222,$fot(X))]]) ).
cnf(refute_0_7666,plain,
and(sum,and(t1,and(t1,X))) = and(sum,and(t1,and(t1,X))),
introduced(tautology,[refl,[$fot(and(sum,and(t1,and(t1,X))))]]) ).
cnf(refute_0_7667,plain,
( and(sum,and(t1,and(t1,X))) != and(sum,and(t1,and(t1,X)))
| and(t1,and(t1,X)) != and(t1,X)
| and(sum,and(t1,and(t1,X))) = and(sum,and(t1,X)) ),
introduced(tautology,[equality,[$cnf( $equal(and(sum,and(t1,and(t1,X))),and(sum,and(t1,and(t1,X)))) ),[1,1],$fot(and(t1,X))]]) ).
cnf(refute_0_7668,plain,
( and(t1,and(t1,X)) != and(t1,X)
| and(sum,and(t1,and(t1,X))) = and(sum,and(t1,X)) ),
inference(resolve,[$cnf( $equal(and(sum,and(t1,and(t1,X))),and(sum,and(t1,and(t1,X)))) )],[refute_0_7666,refute_0_7667]) ).
cnf(refute_0_7669,plain,
and(sum,and(t1,and(t1,X))) = and(sum,and(t1,X)),
inference(resolve,[$cnf( $equal(and(t1,and(t1,X)),and(t1,X)) )],[refute_0_7665,refute_0_7668]) ).
cnf(refute_0_7670,plain,
and(t1,and(sum,and(t1,X))) = and(sum,and(t1,and(t1,X))),
inference(subst,[],[refute_0_4220:[bind(X,$fot(sum)),bind(Z,$fot(and(t1,X))),bind(X_669,$fot(t1))]]) ).
cnf(refute_0_7671,plain,
( and(sum,and(t1,and(t1,X))) != and(sum,and(t1,X))
| and(t1,and(sum,and(t1,X))) != and(sum,and(t1,and(t1,X)))
| and(t1,and(sum,and(t1,X))) = and(sum,and(t1,X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t1,and(sum,and(t1,X))))),bind(Y0,$fot(and(sum,and(t1,and(t1,X))))),bind(Z0,$fot(and(sum,and(t1,X))))]]) ).
cnf(refute_0_7672,plain,
( and(sum,and(t1,and(t1,X))) != and(sum,and(t1,X))
| and(t1,and(sum,and(t1,X))) = and(sum,and(t1,X)) ),
inference(resolve,[$cnf( $equal(and(t1,and(sum,and(t1,X))),and(sum,and(t1,and(t1,X)))) )],[refute_0_7670,refute_0_7671]) ).
cnf(refute_0_7673,plain,
and(t1,and(sum,and(t1,X))) = and(sum,and(t1,X)),
inference(resolve,[$cnf( $equal(and(sum,and(t1,and(t1,X))),and(sum,and(t1,X))) )],[refute_0_7669,refute_0_7672]) ).
cnf(refute_0_7674,plain,
and(and(sum,t1),X) = and(sum,and(t1,X)),
inference(subst,[],[and_associative:[bind(X,$fot(sum)),bind(Y,$fot(t1)),bind(Z,$fot(X))]]) ).
cnf(refute_0_7675,plain,
or(and(sum,not(xor(t7,or(carry,t7)))),and(not(sum),xor(t7,or(carry,t7)))) = xor(sum,xor(t7,or(carry,t7))),
inference(subst,[],[refute_0_9:[bind(X,$fot(sum)),bind(Y,$fot(xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_7676,plain,
and(or(sum,not(xor(t7,or(carry,t7)))),not(or(not(xor(t7,or(carry,t7))),sum))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(not(xor(t7,or(carry,t7))))),bind(X_28,$fot(sum))]]) ).
cnf(refute_0_7677,plain,
or(t7,or(not(not(sum)),X_39)) = or(t7,or(not(sum),or(not(not(sum)),X_39))),
inference(subst,[],[refute_0_6081:[bind(X_39,$fot(or(not(not(sum)),X_39)))]]) ).
cnf(refute_0_7678,plain,
ll1 = or(not(sum),or(not(not(sum)),X_39)),
inference(subst,[],[refute_0_632:[bind(X_37,$fot(not(sum)))]]) ).
cnf(refute_0_7679,plain,
( ll1 != or(not(sum),or(not(not(sum)),X_39))
| or(not(sum),or(not(not(sum)),X_39)) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(not(sum),or(not(not(sum)),X_39))))]]) ).
cnf(refute_0_7680,plain,
or(not(sum),or(not(not(sum)),X_39)) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(not(sum),or(not(not(sum)),X_39))) )],[refute_0_7678,refute_0_7679]) ).
cnf(refute_0_7681,plain,
( or(not(sum),or(not(not(sum)),X_39)) != ll1
| or(t7,or(not(not(sum)),X_39)) != or(t7,or(not(sum),or(not(not(sum)),X_39)))
| or(t7,or(not(not(sum)),X_39)) = or(t7,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,or(not(not(sum)),X_39)),or(t7,or(not(sum),or(not(not(sum)),X_39)))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_7682,plain,
( or(t7,or(not(not(sum)),X_39)) != or(t7,or(not(sum),or(not(not(sum)),X_39)))
| or(t7,or(not(not(sum)),X_39)) = or(t7,ll1) ),
inference(resolve,[$cnf( $equal(or(not(sum),or(not(not(sum)),X_39)),ll1) )],[refute_0_7680,refute_0_7681]) ).
cnf(refute_0_7683,plain,
or(t7,or(not(not(sum)),X_39)) = or(t7,ll1),
inference(resolve,[$cnf( $equal(or(t7,or(not(not(sum)),X_39)),or(t7,or(not(sum),or(not(not(sum)),X_39)))) )],[refute_0_7677,refute_0_7682]) ).
cnf(refute_0_7684,plain,
or(t7,or(sum,X_39)) = or(sum,or(t7,X_39)),
inference(subst,[],[refute_0_267:[bind(X_37,$fot(t7)),bind(X_38,$fot(sum))]]) ).
cnf(refute_0_7685,plain,
or(not(not(sum)),X_39) = or(not(not(sum)),X_39),
introduced(tautology,[refl,[$fot(or(not(not(sum)),X_39))]]) ).
cnf(refute_0_7686,plain,
( not(not(sum)) != sum
| or(not(not(sum)),X_39) != or(not(not(sum)),X_39)
| or(not(not(sum)),X_39) = or(sum,X_39) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(not(sum)),X_39),or(not(not(sum)),X_39)) ),[1,0],$fot(sum)]]) ).
cnf(refute_0_7687,plain,
( not(not(sum)) != sum
| or(not(not(sum)),X_39) = or(sum,X_39) ),
inference(resolve,[$cnf( $equal(or(not(not(sum)),X_39),or(not(not(sum)),X_39)) )],[refute_0_7685,refute_0_7686]) ).
cnf(refute_0_7688,plain,
or(not(not(sum)),X_39) = or(sum,X_39),
inference(resolve,[$cnf( $equal(not(not(sum)),sum) )],[refute_0_1149,refute_0_7687]) ).
cnf(refute_0_7689,plain,
or(t7,or(not(not(sum)),X_39)) = or(t7,or(not(not(sum)),X_39)),
introduced(tautology,[refl,[$fot(or(t7,or(not(not(sum)),X_39)))]]) ).
cnf(refute_0_7690,plain,
( or(not(not(sum)),X_39) != or(sum,X_39)
| or(t7,or(not(not(sum)),X_39)) != or(t7,or(not(not(sum)),X_39))
| or(t7,or(not(not(sum)),X_39)) = or(t7,or(sum,X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,or(not(not(sum)),X_39)),or(t7,or(not(not(sum)),X_39))) ),[1,1],$fot(or(sum,X_39))]]) ).
cnf(refute_0_7691,plain,
( or(not(not(sum)),X_39) != or(sum,X_39)
| or(t7,or(not(not(sum)),X_39)) = or(t7,or(sum,X_39)) ),
inference(resolve,[$cnf( $equal(or(t7,or(not(not(sum)),X_39)),or(t7,or(not(not(sum)),X_39))) )],[refute_0_7689,refute_0_7690]) ).
cnf(refute_0_7692,plain,
or(t7,or(not(not(sum)),X_39)) = or(t7,or(sum,X_39)),
inference(resolve,[$cnf( $equal(or(not(not(sum)),X_39),or(sum,X_39)) )],[refute_0_7688,refute_0_7691]) ).
cnf(refute_0_7693,plain,
( or(t7,or(not(not(sum)),X_39)) != or(t7,or(sum,X_39))
| or(t7,or(sum,X_39)) != or(sum,or(t7,X_39))
| or(t7,or(not(not(sum)),X_39)) = or(sum,or(t7,X_39)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t7,or(not(not(sum)),X_39)))),bind(Y0,$fot(or(t7,or(sum,X_39)))),bind(Z0,$fot(or(sum,or(t7,X_39))))]]) ).
cnf(refute_0_7694,plain,
( or(t7,or(sum,X_39)) != or(sum,or(t7,X_39))
| or(t7,or(not(not(sum)),X_39)) = or(sum,or(t7,X_39)) ),
inference(resolve,[$cnf( $equal(or(t7,or(not(not(sum)),X_39)),or(t7,or(sum,X_39))) )],[refute_0_7692,refute_0_7693]) ).
cnf(refute_0_7695,plain,
or(t7,or(not(not(sum)),X_39)) = or(sum,or(t7,X_39)),
inference(resolve,[$cnf( $equal(or(t7,or(sum,X_39)),or(sum,or(t7,X_39))) )],[refute_0_7684,refute_0_7694]) ).
cnf(refute_0_7696,plain,
( or(t7,or(not(not(sum)),X_39)) != or(sum,or(t7,X_39))
| or(t7,or(not(not(sum)),X_39)) != or(t7,ll1)
| or(sum,or(t7,X_39)) = or(t7,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,or(not(not(sum)),X_39)),or(t7,ll1)) ),[0],$fot(or(sum,or(t7,X_39)))]]) ).
cnf(refute_0_7697,plain,
( or(t7,or(not(not(sum)),X_39)) != or(t7,ll1)
| or(sum,or(t7,X_39)) = or(t7,ll1) ),
inference(resolve,[$cnf( $equal(or(t7,or(not(not(sum)),X_39)),or(sum,or(t7,X_39))) )],[refute_0_7695,refute_0_7696]) ).
cnf(refute_0_7698,plain,
( or(sum,or(t7,X_39)) != or(t7,ll1)
| or(t7,ll1) != ll1
| or(sum,or(t7,X_39)) = ll1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(sum,or(t7,X_39)),ll1) ),[0],$fot(or(t7,ll1))]]) ).
cnf(refute_0_7699,plain,
( or(sum,or(t7,X_39)) != or(t7,ll1)
| or(sum,or(t7,X_39)) = ll1 ),
inference(resolve,[$cnf( $equal(or(t7,ll1),ll1) )],[refute_0_6072,refute_0_7698]) ).
cnf(refute_0_7700,plain,
( or(t7,or(not(not(sum)),X_39)) != or(t7,ll1)
| or(sum,or(t7,X_39)) = ll1 ),
inference(resolve,[$cnf( $equal(or(sum,or(t7,X_39)),or(t7,ll1)) )],[refute_0_7697,refute_0_7699]) ).
cnf(refute_0_7701,plain,
or(sum,or(t7,X_39)) = ll1,
inference(resolve,[$cnf( $equal(or(t7,or(not(not(sum)),X_39)),or(t7,ll1)) )],[refute_0_7683,refute_0_7700]) ).
cnf(refute_0_7702,plain,
or(sum,or(t7,not(or(carry,t7)))) = ll1,
inference(subst,[],[refute_0_7701:[bind(X_39,$fot(not(or(carry,t7))))]]) ).
cnf(refute_0_7703,plain,
not(and(or(carry,and(t5,t7)),not(t7))) = not(and(not(t7),or(carry,and(t5,t7)))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(not(t7))),bind(X_32,$fot(or(carry,and(t5,t7))))]]) ).
cnf(refute_0_7704,plain,
or(and(t7,not(or(carry,and(t5,t7)))),and(not(t7),or(carry,and(t5,t7)))) = xor(t7,or(carry,and(t5,t7))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t7)),bind(Y,$fot(or(carry,and(t5,t7))))]]) ).
cnf(refute_0_7705,plain,
and(not(carry),and(t7,xor(t5,t7))) = and(t1,and(t5,and(t7,xor(t5,t7)))),
inference(subst,[],[refute_0_178:[bind(X_222,$fot(and(t7,xor(t5,t7))))]]) ).
cnf(refute_0_7706,plain,
and(and(t5,t7),not(and(t5,t7))) = ll0,
inference(subst,[],[and_complement:[bind(X,$fot(and(t5,t7)))]]) ).
cnf(refute_0_7707,plain,
( and(and(t5,t7),not(and(t5,t7))) != ll0
| not(and(t5,t7)) != xor(t5,t7)
| and(and(t5,t7),xor(t5,t7)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t5,t7),not(and(t5,t7))),ll0) ),[0,1],$fot(xor(t5,t7))]]) ).
cnf(refute_0_7708,plain,
( and(and(t5,t7),not(and(t5,t7))) != ll0
| and(and(t5,t7),xor(t5,t7)) = ll0 ),
inference(resolve,[$cnf( $equal(not(and(t5,t7)),xor(t5,t7)) )],[refute_0_3977,refute_0_7707]) ).
cnf(refute_0_7709,plain,
and(and(t5,t7),xor(t5,t7)) = ll0,
inference(resolve,[$cnf( $equal(and(and(t5,t7),not(and(t5,t7))),ll0) )],[refute_0_7706,refute_0_7708]) ).
cnf(refute_0_7710,plain,
and(and(t5,t7),xor(t5,t7)) = and(t5,and(t7,xor(t5,t7))),
inference(subst,[],[and_associative:[bind(X,$fot(t5)),bind(Y,$fot(t7)),bind(Z,$fot(xor(t5,t7)))]]) ).
cnf(refute_0_7711,plain,
( and(and(t5,t7),xor(t5,t7)) != and(t5,and(t7,xor(t5,t7)))
| and(and(t5,t7),xor(t5,t7)) != ll0
| and(t5,and(t7,xor(t5,t7))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t5,t7),xor(t5,t7)),ll0) ),[0],$fot(and(t5,and(t7,xor(t5,t7))))]]) ).
cnf(refute_0_7712,plain,
( and(and(t5,t7),xor(t5,t7)) != ll0
| and(t5,and(t7,xor(t5,t7))) = ll0 ),
inference(resolve,[$cnf( $equal(and(and(t5,t7),xor(t5,t7)),and(t5,and(t7,xor(t5,t7)))) )],[refute_0_7710,refute_0_7711]) ).
cnf(refute_0_7713,plain,
and(t5,and(t7,xor(t5,t7))) = ll0,
inference(resolve,[$cnf( $equal(and(and(t5,t7),xor(t5,t7)),ll0) )],[refute_0_7709,refute_0_7712]) ).
cnf(refute_0_7714,plain,
( and(not(carry),and(t7,xor(t5,t7))) != and(t1,and(t5,and(t7,xor(t5,t7))))
| and(t5,and(t7,xor(t5,t7))) != ll0
| and(not(carry),and(t7,xor(t5,t7))) = and(t1,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),and(t7,xor(t5,t7))),and(t1,and(t5,and(t7,xor(t5,t7))))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_7715,plain,
( and(not(carry),and(t7,xor(t5,t7))) != and(t1,and(t5,and(t7,xor(t5,t7))))
| and(not(carry),and(t7,xor(t5,t7))) = and(t1,ll0) ),
inference(resolve,[$cnf( $equal(and(t5,and(t7,xor(t5,t7))),ll0) )],[refute_0_7713,refute_0_7714]) ).
cnf(refute_0_7716,plain,
and(not(carry),and(t7,xor(t5,t7))) = and(t1,ll0),
inference(resolve,[$cnf( $equal(and(not(carry),and(t7,xor(t5,t7))),and(t1,and(t5,and(t7,xor(t5,t7))))) )],[refute_0_7705,refute_0_7715]) ).
cnf(refute_0_7717,plain,
not(or(X,and(t5,t7))) = and(not(X),not(and(t5,t7))),
inference(subst,[],[or_demorgan:[bind(Y,$fot(and(t5,t7)))]]) ).
cnf(refute_0_7718,plain,
( not(and(t5,t7)) != xor(t5,t7)
| not(or(X,and(t5,t7))) != and(not(X),not(and(t5,t7)))
| not(or(X,and(t5,t7))) = and(not(X),xor(t5,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,and(t5,t7))),and(not(X),not(and(t5,t7)))) ),[1,1],$fot(xor(t5,t7))]]) ).
cnf(refute_0_7719,plain,
( not(or(X,and(t5,t7))) != and(not(X),not(and(t5,t7)))
| not(or(X,and(t5,t7))) = and(not(X),xor(t5,t7)) ),
inference(resolve,[$cnf( $equal(not(and(t5,t7)),xor(t5,t7)) )],[refute_0_3977,refute_0_7718]) ).
cnf(refute_0_7720,plain,
not(or(X,and(t5,t7))) = and(not(X),xor(t5,t7)),
inference(resolve,[$cnf( $equal(not(or(X,and(t5,t7))),and(not(X),not(and(t5,t7)))) )],[refute_0_7717,refute_0_7719]) ).
cnf(refute_0_7721,plain,
( not(or(X,and(t5,t7))) != and(not(X),xor(t5,t7))
| and(not(X),xor(t5,t7)) = not(or(X,and(t5,t7))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X,and(t5,t7))))),bind(Y0,$fot(and(not(X),xor(t5,t7))))]]) ).
cnf(refute_0_7722,plain,
and(not(X),xor(t5,t7)) = not(or(X,and(t5,t7))),
inference(resolve,[$cnf( $equal(not(or(X,and(t5,t7))),and(not(X),xor(t5,t7))) )],[refute_0_7720,refute_0_7721]) ).
cnf(refute_0_7723,plain,
and(not(carry),xor(t5,t7)) = not(or(carry,and(t5,t7))),
inference(subst,[],[refute_0_7722:[bind(X,$fot(carry))]]) ).
cnf(refute_0_7724,plain,
and(t7,and(not(carry),xor(t5,t7))) = and(t7,and(not(carry),xor(t5,t7))),
introduced(tautology,[refl,[$fot(and(t7,and(not(carry),xor(t5,t7))))]]) ).
cnf(refute_0_7725,plain,
( and(not(carry),xor(t5,t7)) != not(or(carry,and(t5,t7)))
| and(t7,and(not(carry),xor(t5,t7))) != and(t7,and(not(carry),xor(t5,t7)))
| and(t7,and(not(carry),xor(t5,t7))) = and(t7,not(or(carry,and(t5,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t7,and(not(carry),xor(t5,t7))),and(t7,and(not(carry),xor(t5,t7)))) ),[1,1],$fot(not(or(carry,and(t5,t7))))]]) ).
cnf(refute_0_7726,plain,
( and(not(carry),xor(t5,t7)) != not(or(carry,and(t5,t7)))
| and(t7,and(not(carry),xor(t5,t7))) = and(t7,not(or(carry,and(t5,t7)))) ),
inference(resolve,[$cnf( $equal(and(t7,and(not(carry),xor(t5,t7))),and(t7,and(not(carry),xor(t5,t7)))) )],[refute_0_7724,refute_0_7725]) ).
cnf(refute_0_7727,plain,
and(t7,and(not(carry),xor(t5,t7))) = and(t7,not(or(carry,and(t5,t7)))),
inference(resolve,[$cnf( $equal(and(not(carry),xor(t5,t7)),not(or(carry,and(t5,t7)))) )],[refute_0_7723,refute_0_7726]) ).
cnf(refute_0_7728,plain,
and(not(carry),and(t7,xor(t5,t7))) = and(t7,and(not(carry),xor(t5,t7))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(carry))),bind(X_221,$fot(t7)),bind(X_222,$fot(xor(t5,t7)))]]) ).
cnf(refute_0_7729,plain,
( and(not(carry),and(t7,xor(t5,t7))) != and(t7,and(not(carry),xor(t5,t7)))
| and(t7,and(not(carry),xor(t5,t7))) != and(t7,not(or(carry,and(t5,t7))))
| and(not(carry),and(t7,xor(t5,t7))) = and(t7,not(or(carry,and(t5,t7)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(carry),and(t7,xor(t5,t7))))),bind(Y0,$fot(and(t7,and(not(carry),xor(t5,t7))))),bind(Z0,$fot(and(t7,not(or(carry,and(t5,t7))))))]]) ).
cnf(refute_0_7730,plain,
( and(t7,and(not(carry),xor(t5,t7))) != and(t7,not(or(carry,and(t5,t7))))
| and(not(carry),and(t7,xor(t5,t7))) = and(t7,not(or(carry,and(t5,t7)))) ),
inference(resolve,[$cnf( $equal(and(not(carry),and(t7,xor(t5,t7))),and(t7,and(not(carry),xor(t5,t7)))) )],[refute_0_7728,refute_0_7729]) ).
cnf(refute_0_7731,plain,
and(not(carry),and(t7,xor(t5,t7))) = and(t7,not(or(carry,and(t5,t7)))),
inference(resolve,[$cnf( $equal(and(t7,and(not(carry),xor(t5,t7))),and(t7,not(or(carry,and(t5,t7))))) )],[refute_0_7727,refute_0_7730]) ).
cnf(refute_0_7732,plain,
( and(not(carry),and(t7,xor(t5,t7))) != and(t1,ll0)
| and(not(carry),and(t7,xor(t5,t7))) != and(t7,not(or(carry,and(t5,t7))))
| and(t7,not(or(carry,and(t5,t7)))) = and(t1,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),and(t7,xor(t5,t7))),and(t1,ll0)) ),[0],$fot(and(t7,not(or(carry,and(t5,t7)))))]]) ).
cnf(refute_0_7733,plain,
( and(not(carry),and(t7,xor(t5,t7))) != and(t1,ll0)
| and(t7,not(or(carry,and(t5,t7)))) = and(t1,ll0) ),
inference(resolve,[$cnf( $equal(and(not(carry),and(t7,xor(t5,t7))),and(t7,not(or(carry,and(t5,t7))))) )],[refute_0_7731,refute_0_7732]) ).
cnf(refute_0_7734,plain,
and(t1,ll0) = ll0,
inference(subst,[],[and_boundedness:[bind(X,$fot(t1))]]) ).
cnf(refute_0_7735,plain,
( and(t1,ll0) != ll0
| and(t7,not(or(carry,and(t5,t7)))) != and(t1,ll0)
| and(t7,not(or(carry,and(t5,t7)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(t7,not(or(carry,and(t5,t7)))),and(t1,ll0)) ),[1],$fot(ll0)]]) ).
cnf(refute_0_7736,plain,
( and(t7,not(or(carry,and(t5,t7)))) != and(t1,ll0)
| and(t7,not(or(carry,and(t5,t7)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(t1,ll0),ll0) )],[refute_0_7734,refute_0_7735]) ).
cnf(refute_0_7737,plain,
( and(not(carry),and(t7,xor(t5,t7))) != and(t1,ll0)
| and(t7,not(or(carry,and(t5,t7)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(t7,not(or(carry,and(t5,t7)))),and(t1,ll0)) )],[refute_0_7733,refute_0_7736]) ).
cnf(refute_0_7738,plain,
and(t7,not(or(carry,and(t5,t7)))) = ll0,
inference(resolve,[$cnf( $equal(and(not(carry),and(t7,xor(t5,t7))),and(t1,ll0)) )],[refute_0_7716,refute_0_7737]) ).
cnf(refute_0_7739,plain,
( and(t7,not(or(carry,and(t5,t7)))) != ll0
| or(and(t7,not(or(carry,and(t5,t7)))),and(not(t7),or(carry,and(t5,t7)))) != xor(t7,or(carry,and(t5,t7)))
| or(ll0,and(not(t7),or(carry,and(t5,t7)))) = xor(t7,or(carry,and(t5,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t7,not(or(carry,and(t5,t7)))),and(not(t7),or(carry,and(t5,t7)))),xor(t7,or(carry,and(t5,t7)))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_7740,plain,
( or(and(t7,not(or(carry,and(t5,t7)))),and(not(t7),or(carry,and(t5,t7)))) != xor(t7,or(carry,and(t5,t7)))
| or(ll0,and(not(t7),or(carry,and(t5,t7)))) = xor(t7,or(carry,and(t5,t7))) ),
inference(resolve,[$cnf( $equal(and(t7,not(or(carry,and(t5,t7)))),ll0) )],[refute_0_7738,refute_0_7739]) ).
cnf(refute_0_7741,plain,
or(ll0,and(not(t7),or(carry,and(t5,t7)))) = xor(t7,or(carry,and(t5,t7))),
inference(resolve,[$cnf( $equal(or(and(t7,not(or(carry,and(t5,t7)))),and(not(t7),or(carry,and(t5,t7)))),xor(t7,or(carry,and(t5,t7)))) )],[refute_0_7704,refute_0_7740]) ).
cnf(refute_0_7742,plain,
or(ll0,and(not(t7),or(carry,and(t5,t7)))) = and(not(t7),or(carry,and(t5,t7))),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(t7),or(carry,and(t5,t7)))))]]) ).
cnf(refute_0_7743,plain,
( or(ll0,and(not(t7),or(carry,and(t5,t7)))) != and(not(t7),or(carry,and(t5,t7)))
| or(ll0,and(not(t7),or(carry,and(t5,t7)))) != xor(t7,or(carry,and(t5,t7)))
| and(not(t7),or(carry,and(t5,t7))) = xor(t7,or(carry,and(t5,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(t7),or(carry,and(t5,t7)))),xor(t7,or(carry,and(t5,t7)))) ),[0],$fot(and(not(t7),or(carry,and(t5,t7))))]]) ).
cnf(refute_0_7744,plain,
( or(ll0,and(not(t7),or(carry,and(t5,t7)))) != xor(t7,or(carry,and(t5,t7)))
| and(not(t7),or(carry,and(t5,t7))) = xor(t7,or(carry,and(t5,t7))) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t7),or(carry,and(t5,t7)))),and(not(t7),or(carry,and(t5,t7)))) )],[refute_0_7742,refute_0_7743]) ).
cnf(refute_0_7745,plain,
and(not(t7),or(carry,and(t5,t7))) = xor(t7,or(carry,and(t5,t7))),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t7),or(carry,and(t5,t7)))),xor(t7,or(carry,and(t5,t7)))) )],[refute_0_7741,refute_0_7744]) ).
cnf(refute_0_7746,plain,
( and(not(t7),or(carry,and(t5,t7))) != xor(t7,or(carry,and(t5,t7)))
| not(and(or(carry,and(t5,t7)),not(t7))) != not(and(not(t7),or(carry,and(t5,t7))))
| not(and(or(carry,and(t5,t7)),not(t7))) = not(xor(t7,or(carry,and(t5,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(carry,and(t5,t7)),not(t7))),not(and(not(t7),or(carry,and(t5,t7))))) ),[1,0],$fot(xor(t7,or(carry,and(t5,t7))))]]) ).
cnf(refute_0_7747,plain,
( not(and(or(carry,and(t5,t7)),not(t7))) != not(and(not(t7),or(carry,and(t5,t7))))
| not(and(or(carry,and(t5,t7)),not(t7))) = not(xor(t7,or(carry,and(t5,t7)))) ),
inference(resolve,[$cnf( $equal(and(not(t7),or(carry,and(t5,t7))),xor(t7,or(carry,and(t5,t7)))) )],[refute_0_7745,refute_0_7746]) ).
cnf(refute_0_7748,plain,
not(and(or(carry,and(t5,t7)),not(t7))) = not(xor(t7,or(carry,and(t5,t7)))),
inference(resolve,[$cnf( $equal(not(and(or(carry,and(t5,t7)),not(t7))),not(and(not(t7),or(carry,and(t5,t7))))) )],[refute_0_7703,refute_0_7747]) ).
cnf(refute_0_7749,plain,
not(and(not(t7),or(carry,and(t5,t7)))) = or(t7,not(or(carry,and(t5,t7)))),
inference(subst,[],[refute_0_787:[bind(X,$fot(t7)),bind(X_32,$fot(or(carry,and(t5,t7))))]]) ).
cnf(refute_0_7750,plain,
( not(and(not(t7),or(carry,and(t5,t7)))) != or(t7,not(or(carry,and(t5,t7))))
| not(and(or(carry,and(t5,t7)),not(t7))) != not(and(not(t7),or(carry,and(t5,t7))))
| not(and(or(carry,and(t5,t7)),not(t7))) = or(t7,not(or(carry,and(t5,t7)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(or(carry,and(t5,t7)),not(t7))))),bind(Y0,$fot(not(and(not(t7),or(carry,and(t5,t7)))))),bind(Z0,$fot(or(t7,not(or(carry,and(t5,t7))))))]]) ).
cnf(refute_0_7751,plain,
( not(and(not(t7),or(carry,and(t5,t7)))) != or(t7,not(or(carry,and(t5,t7))))
| not(and(or(carry,and(t5,t7)),not(t7))) = or(t7,not(or(carry,and(t5,t7)))) ),
inference(resolve,[$cnf( $equal(not(and(or(carry,and(t5,t7)),not(t7))),not(and(not(t7),or(carry,and(t5,t7))))) )],[refute_0_7703,refute_0_7750]) ).
cnf(refute_0_7752,plain,
not(and(or(carry,and(t5,t7)),not(t7))) = or(t7,not(or(carry,and(t5,t7)))),
inference(resolve,[$cnf( $equal(not(and(not(t7),or(carry,and(t5,t7)))),or(t7,not(or(carry,and(t5,t7))))) )],[refute_0_7749,refute_0_7751]) ).
cnf(refute_0_7753,plain,
( not(and(or(carry,and(t5,t7)),not(t7))) != not(xor(t7,or(carry,and(t5,t7))))
| not(and(or(carry,and(t5,t7)),not(t7))) != or(t7,not(or(carry,and(t5,t7))))
| or(t7,not(or(carry,and(t5,t7)))) = not(xor(t7,or(carry,and(t5,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(carry,and(t5,t7)),not(t7))),not(xor(t7,or(carry,and(t5,t7))))) ),[0],$fot(or(t7,not(or(carry,and(t5,t7)))))]]) ).
cnf(refute_0_7754,plain,
( not(and(or(carry,and(t5,t7)),not(t7))) != not(xor(t7,or(carry,and(t5,t7))))
| or(t7,not(or(carry,and(t5,t7)))) = not(xor(t7,or(carry,and(t5,t7)))) ),
inference(resolve,[$cnf( $equal(not(and(or(carry,and(t5,t7)),not(t7))),or(t7,not(or(carry,and(t5,t7))))) )],[refute_0_7752,refute_0_7753]) ).
cnf(refute_0_7755,plain,
or(t7,not(or(carry,and(t5,t7)))) = not(xor(t7,or(carry,and(t5,t7)))),
inference(resolve,[$cnf( $equal(not(and(or(carry,and(t5,t7)),not(t7))),not(xor(t7,or(carry,and(t5,t7))))) )],[refute_0_7748,refute_0_7754]) ).
cnf(refute_0_7756,plain,
not(or(carry,not(cin))) = and(not(carry),cin),
inference(subst,[],[refute_0_801:[bind(X,$fot(cin)),bind(X_25,$fot(carry))]]) ).
cnf(refute_0_7757,plain,
( and(not(carry),cin) != and(cin,not(carry))
| not(or(carry,not(cin))) != and(not(carry),cin)
| not(or(carry,not(cin))) = and(cin,not(carry)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(carry,not(cin))))),bind(Y0,$fot(and(not(carry),cin))),bind(Z0,$fot(and(cin,not(carry))))]]) ).
cnf(refute_0_7758,plain,
( and(not(carry),cin) != and(cin,not(carry))
| not(or(carry,not(cin))) = and(cin,not(carry)) ),
inference(resolve,[$cnf( $equal(not(or(carry,not(cin))),and(not(carry),cin)) )],[refute_0_7756,refute_0_7757]) ).
cnf(refute_0_7759,plain,
not(or(carry,not(cin))) = and(cin,not(carry)),
inference(resolve,[$cnf( $equal(and(not(carry),cin),and(cin,not(carry))) )],[refute_0_204,refute_0_7758]) ).
cnf(refute_0_7760,plain,
or(carry,and(t5,t7)) = or(carry,and(t5,t7)),
introduced(tautology,[refl,[$fot(or(carry,and(t5,t7)))]]) ).
cnf(refute_0_7761,plain,
( and(t5,t7) != not(cin)
| or(carry,and(t5,t7)) != or(carry,and(t5,t7))
| or(carry,and(t5,t7)) = or(carry,not(cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,and(t5,t7)),or(carry,and(t5,t7))) ),[1,1],$fot(not(cin))]]) ).
cnf(refute_0_7762,plain,
( and(t5,t7) != not(cin)
| or(carry,and(t5,t7)) = or(carry,not(cin)) ),
inference(resolve,[$cnf( $equal(or(carry,and(t5,t7)),or(carry,and(t5,t7))) )],[refute_0_7760,refute_0_7761]) ).
cnf(refute_0_7763,plain,
or(carry,and(t5,t7)) = or(carry,not(cin)),
inference(resolve,[$cnf( $equal(and(t5,t7),not(cin)) )],[refute_0_4015,refute_0_7762]) ).
cnf(refute_0_7764,plain,
not(or(carry,and(t5,t7))) = not(or(carry,and(t5,t7))),
introduced(tautology,[refl,[$fot(not(or(carry,and(t5,t7))))]]) ).
cnf(refute_0_7765,plain,
( not(or(carry,and(t5,t7))) != not(or(carry,and(t5,t7)))
| or(carry,and(t5,t7)) != or(carry,not(cin))
| not(or(carry,and(t5,t7))) = not(or(carry,not(cin))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,and(t5,t7))),not(or(carry,and(t5,t7)))) ),[1,0],$fot(or(carry,not(cin)))]]) ).
cnf(refute_0_7766,plain,
( or(carry,and(t5,t7)) != or(carry,not(cin))
| not(or(carry,and(t5,t7))) = not(or(carry,not(cin))) ),
inference(resolve,[$cnf( $equal(not(or(carry,and(t5,t7))),not(or(carry,and(t5,t7)))) )],[refute_0_7764,refute_0_7765]) ).
cnf(refute_0_7767,plain,
not(or(carry,and(t5,t7))) = not(or(carry,not(cin))),
inference(resolve,[$cnf( $equal(or(carry,and(t5,t7)),or(carry,not(cin))) )],[refute_0_7763,refute_0_7766]) ).
cnf(refute_0_7768,plain,
( not(or(carry,and(t5,t7))) != not(or(carry,not(cin)))
| not(or(carry,not(cin))) != and(cin,not(carry))
| not(or(carry,and(t5,t7))) = and(cin,not(carry)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(carry,and(t5,t7))))),bind(Y0,$fot(not(or(carry,not(cin))))),bind(Z0,$fot(and(cin,not(carry))))]]) ).
cnf(refute_0_7769,plain,
( not(or(carry,not(cin))) != and(cin,not(carry))
| not(or(carry,and(t5,t7))) = and(cin,not(carry)) ),
inference(resolve,[$cnf( $equal(not(or(carry,and(t5,t7))),not(or(carry,not(cin)))) )],[refute_0_7767,refute_0_7768]) ).
cnf(refute_0_7770,plain,
not(or(carry,and(t5,t7))) = and(cin,not(carry)),
inference(resolve,[$cnf( $equal(not(or(carry,not(cin))),and(cin,not(carry))) )],[refute_0_7759,refute_0_7769]) ).
cnf(refute_0_7771,plain,
or(t7,not(or(carry,and(t5,t7)))) = or(t7,not(or(carry,and(t5,t7)))),
introduced(tautology,[refl,[$fot(or(t7,not(or(carry,and(t5,t7)))))]]) ).
cnf(refute_0_7772,plain,
( not(or(carry,and(t5,t7))) != and(cin,not(carry))
| or(t7,not(or(carry,and(t5,t7)))) != or(t7,not(or(carry,and(t5,t7))))
| or(t7,not(or(carry,and(t5,t7)))) = or(t7,and(cin,not(carry))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,not(or(carry,and(t5,t7)))),or(t7,not(or(carry,and(t5,t7))))) ),[1,1],$fot(and(cin,not(carry)))]]) ).
cnf(refute_0_7773,plain,
( not(or(carry,and(t5,t7))) != and(cin,not(carry))
| or(t7,not(or(carry,and(t5,t7)))) = or(t7,and(cin,not(carry))) ),
inference(resolve,[$cnf( $equal(or(t7,not(or(carry,and(t5,t7)))),or(t7,not(or(carry,and(t5,t7))))) )],[refute_0_7771,refute_0_7772]) ).
cnf(refute_0_7774,plain,
or(t7,not(or(carry,and(t5,t7)))) = or(t7,and(cin,not(carry))),
inference(resolve,[$cnf( $equal(not(or(carry,and(t5,t7))),and(cin,not(carry))) )],[refute_0_7770,refute_0_7773]) ).
cnf(refute_0_7775,plain,
( or(t7,not(or(carry,and(t5,t7)))) != not(xor(t7,or(carry,and(t5,t7))))
| or(t7,not(or(carry,and(t5,t7)))) != or(t7,and(cin,not(carry)))
| or(t7,and(cin,not(carry))) = not(xor(t7,or(carry,and(t5,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,not(or(carry,and(t5,t7)))),not(xor(t7,or(carry,and(t5,t7))))) ),[0],$fot(or(t7,and(cin,not(carry))))]]) ).
cnf(refute_0_7776,plain,
( or(t7,not(or(carry,and(t5,t7)))) != not(xor(t7,or(carry,and(t5,t7))))
| or(t7,and(cin,not(carry))) = not(xor(t7,or(carry,and(t5,t7)))) ),
inference(resolve,[$cnf( $equal(or(t7,not(or(carry,and(t5,t7)))),or(t7,and(cin,not(carry)))) )],[refute_0_7774,refute_0_7775]) ).
cnf(refute_0_7777,plain,
xor(t7,or(carry,and(t5,t7))) = xor(t7,or(carry,and(t5,t7))),
introduced(tautology,[refl,[$fot(xor(t7,or(carry,and(t5,t7))))]]) ).
cnf(refute_0_7778,plain,
( or(carry,and(t5,t7)) != or(carry,not(cin))
| xor(t7,or(carry,and(t5,t7))) != xor(t7,or(carry,and(t5,t7)))
| xor(t7,or(carry,and(t5,t7))) = xor(t7,or(carry,not(cin))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t7,or(carry,and(t5,t7))),xor(t7,or(carry,and(t5,t7)))) ),[1,1],$fot(or(carry,not(cin)))]]) ).
cnf(refute_0_7779,plain,
( or(carry,and(t5,t7)) != or(carry,not(cin))
| xor(t7,or(carry,and(t5,t7))) = xor(t7,or(carry,not(cin))) ),
inference(resolve,[$cnf( $equal(xor(t7,or(carry,and(t5,t7))),xor(t7,or(carry,and(t5,t7)))) )],[refute_0_7777,refute_0_7778]) ).
cnf(refute_0_7780,plain,
xor(t7,or(carry,and(t5,t7))) = xor(t7,or(carry,not(cin))),
inference(resolve,[$cnf( $equal(or(carry,and(t5,t7)),or(carry,not(cin))) )],[refute_0_7763,refute_0_7779]) ).
cnf(refute_0_7781,plain,
not(xor(t7,or(carry,and(t5,t7)))) = not(xor(t7,or(carry,and(t5,t7)))),
introduced(tautology,[refl,[$fot(not(xor(t7,or(carry,and(t5,t7)))))]]) ).
cnf(refute_0_7782,plain,
( not(xor(t7,or(carry,and(t5,t7)))) != not(xor(t7,or(carry,and(t5,t7))))
| xor(t7,or(carry,and(t5,t7))) != xor(t7,or(carry,not(cin)))
| not(xor(t7,or(carry,and(t5,t7)))) = not(xor(t7,or(carry,not(cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t7,or(carry,and(t5,t7)))),not(xor(t7,or(carry,and(t5,t7))))) ),[1,0],$fot(xor(t7,or(carry,not(cin))))]]) ).
cnf(refute_0_7783,plain,
( xor(t7,or(carry,and(t5,t7))) != xor(t7,or(carry,not(cin)))
| not(xor(t7,or(carry,and(t5,t7)))) = not(xor(t7,or(carry,not(cin)))) ),
inference(resolve,[$cnf( $equal(not(xor(t7,or(carry,and(t5,t7)))),not(xor(t7,or(carry,and(t5,t7))))) )],[refute_0_7781,refute_0_7782]) ).
cnf(refute_0_7784,plain,
not(xor(t7,or(carry,and(t5,t7)))) = not(xor(t7,or(carry,not(cin)))),
inference(resolve,[$cnf( $equal(xor(t7,or(carry,and(t5,t7))),xor(t7,or(carry,not(cin)))) )],[refute_0_7780,refute_0_7783]) ).
cnf(refute_0_7785,plain,
( not(xor(t7,or(carry,and(t5,t7)))) != not(xor(t7,or(carry,not(cin))))
| or(t7,and(cin,not(carry))) != not(xor(t7,or(carry,and(t5,t7))))
| or(t7,and(cin,not(carry))) = not(xor(t7,or(carry,not(cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,and(cin,not(carry))),not(xor(t7,or(carry,and(t5,t7))))) ),[1],$fot(not(xor(t7,or(carry,not(cin)))))]]) ).
cnf(refute_0_7786,plain,
( or(t7,and(cin,not(carry))) != not(xor(t7,or(carry,and(t5,t7))))
| or(t7,and(cin,not(carry))) = not(xor(t7,or(carry,not(cin)))) ),
inference(resolve,[$cnf( $equal(not(xor(t7,or(carry,and(t5,t7)))),not(xor(t7,or(carry,not(cin))))) )],[refute_0_7784,refute_0_7785]) ).
cnf(refute_0_7787,plain,
( or(t7,not(or(carry,and(t5,t7)))) != not(xor(t7,or(carry,and(t5,t7))))
| or(t7,and(cin,not(carry))) = not(xor(t7,or(carry,not(cin)))) ),
inference(resolve,[$cnf( $equal(or(t7,and(cin,not(carry))),not(xor(t7,or(carry,and(t5,t7))))) )],[refute_0_7776,refute_0_7786]) ).
cnf(refute_0_7788,plain,
or(t7,and(cin,not(carry))) = not(xor(t7,or(carry,not(cin)))),
inference(resolve,[$cnf( $equal(or(t7,not(or(carry,and(t5,t7)))),not(xor(t7,or(carry,and(t5,t7))))) )],[refute_0_7755,refute_0_7787]) ).
cnf(refute_0_7789,plain,
xor(t7,and(not(carry),cin)) = xor(t7,and(not(carry),cin)),
introduced(tautology,[refl,[$fot(xor(t7,and(not(carry),cin)))]]) ).
cnf(refute_0_7790,plain,
( and(not(carry),cin) != and(cin,not(carry))
| xor(t7,and(not(carry),cin)) != xor(t7,and(not(carry),cin))
| xor(t7,and(not(carry),cin)) = xor(t7,and(cin,not(carry))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t7,and(not(carry),cin)),xor(t7,and(not(carry),cin))) ),[1,1],$fot(and(cin,not(carry)))]]) ).
cnf(refute_0_7791,plain,
( and(not(carry),cin) != and(cin,not(carry))
| xor(t7,and(not(carry),cin)) = xor(t7,and(cin,not(carry))) ),
inference(resolve,[$cnf( $equal(xor(t7,and(not(carry),cin)),xor(t7,and(not(carry),cin))) )],[refute_0_7789,refute_0_7790]) ).
cnf(refute_0_7792,plain,
xor(t7,and(not(carry),cin)) = xor(t7,and(cin,not(carry))),
inference(resolve,[$cnf( $equal(and(not(carry),cin),and(cin,not(carry))) )],[refute_0_204,refute_0_7791]) ).
cnf(refute_0_7793,plain,
not(xor(X_377,or(X_25,not(X)))) = xor(X_377,not(or(X_25,not(X)))),
inference(subst,[],[refute_0_1137:[bind(X_333,$fot(X_377)),bind(X_334,$fot(or(X_25,not(X))))]]) ).
cnf(refute_0_7794,plain,
( not(or(X_25,not(X))) != and(not(X_25),X)
| not(xor(X_377,or(X_25,not(X)))) != xor(X_377,not(or(X_25,not(X))))
| not(xor(X_377,or(X_25,not(X)))) = xor(X_377,and(not(X_25),X)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(X_377,or(X_25,not(X)))),xor(X_377,not(or(X_25,not(X))))) ),[1,1],$fot(and(not(X_25),X))]]) ).
cnf(refute_0_7795,plain,
( not(xor(X_377,or(X_25,not(X)))) != xor(X_377,not(or(X_25,not(X))))
| not(xor(X_377,or(X_25,not(X)))) = xor(X_377,and(not(X_25),X)) ),
inference(resolve,[$cnf( $equal(not(or(X_25,not(X))),and(not(X_25),X)) )],[refute_0_801,refute_0_7794]) ).
cnf(refute_0_7796,plain,
not(xor(X_377,or(X_25,not(X)))) = xor(X_377,and(not(X_25),X)),
inference(resolve,[$cnf( $equal(not(xor(X_377,or(X_25,not(X)))),xor(X_377,not(or(X_25,not(X))))) )],[refute_0_7793,refute_0_7795]) ).
cnf(refute_0_7797,plain,
not(xor(t7,or(carry,not(cin)))) = xor(t7,and(not(carry),cin)),
inference(subst,[],[refute_0_7796:[bind(X,$fot(cin)),bind(X_25,$fot(carry)),bind(X_377,$fot(t7))]]) ).
cnf(refute_0_7798,plain,
( not(xor(t7,or(carry,not(cin)))) != xor(t7,and(not(carry),cin))
| xor(t7,and(not(carry),cin)) != xor(t7,and(cin,not(carry)))
| not(xor(t7,or(carry,not(cin)))) = xor(t7,and(cin,not(carry))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t7,or(carry,not(cin)))))),bind(Y0,$fot(xor(t7,and(not(carry),cin)))),bind(Z0,$fot(xor(t7,and(cin,not(carry)))))]]) ).
cnf(refute_0_7799,plain,
( xor(t7,and(not(carry),cin)) != xor(t7,and(cin,not(carry)))
| not(xor(t7,or(carry,not(cin)))) = xor(t7,and(cin,not(carry))) ),
inference(resolve,[$cnf( $equal(not(xor(t7,or(carry,not(cin)))),xor(t7,and(not(carry),cin))) )],[refute_0_7797,refute_0_7798]) ).
cnf(refute_0_7800,plain,
not(xor(t7,or(carry,not(cin)))) = xor(t7,and(cin,not(carry))),
inference(resolve,[$cnf( $equal(xor(t7,and(not(carry),cin)),xor(t7,and(cin,not(carry)))) )],[refute_0_7792,refute_0_7799]) ).
cnf(refute_0_7801,plain,
( not(xor(t7,or(carry,not(cin)))) != xor(t7,and(cin,not(carry)))
| or(t7,and(cin,not(carry))) != not(xor(t7,or(carry,not(cin))))
| or(t7,and(cin,not(carry))) = xor(t7,and(cin,not(carry))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,and(cin,not(carry))),not(xor(t7,or(carry,not(cin))))) ),[1],$fot(xor(t7,and(cin,not(carry))))]]) ).
cnf(refute_0_7802,plain,
( or(t7,and(cin,not(carry))) != not(xor(t7,or(carry,not(cin))))
| or(t7,and(cin,not(carry))) = xor(t7,and(cin,not(carry))) ),
inference(resolve,[$cnf( $equal(not(xor(t7,or(carry,not(cin)))),xor(t7,and(cin,not(carry)))) )],[refute_0_7800,refute_0_7801]) ).
cnf(refute_0_7803,plain,
or(t7,and(cin,not(carry))) = xor(t7,and(cin,not(carry))),
inference(resolve,[$cnf( $equal(or(t7,and(cin,not(carry))),not(xor(t7,or(carry,not(cin))))) )],[refute_0_7788,refute_0_7802]) ).
cnf(refute_0_7804,plain,
or(t7,and(cin,not(carry))) = or(t7,and(cin,not(carry))),
introduced(tautology,[refl,[$fot(or(t7,and(cin,not(carry))))]]) ).
cnf(refute_0_7805,plain,
( and(cin,not(carry)) != not(or(carry,t7))
| or(t7,and(cin,not(carry))) != or(t7,and(cin,not(carry)))
| or(t7,and(cin,not(carry))) = or(t7,not(or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,and(cin,not(carry))),or(t7,and(cin,not(carry)))) ),[1,1],$fot(not(or(carry,t7)))]]) ).
cnf(refute_0_7806,plain,
( and(cin,not(carry)) != not(or(carry,t7))
| or(t7,and(cin,not(carry))) = or(t7,not(or(carry,t7))) ),
inference(resolve,[$cnf( $equal(or(t7,and(cin,not(carry))),or(t7,and(cin,not(carry)))) )],[refute_0_7804,refute_0_7805]) ).
cnf(refute_0_7807,plain,
or(t7,and(cin,not(carry))) = or(t7,not(or(carry,t7))),
inference(resolve,[$cnf( $equal(and(cin,not(carry)),not(or(carry,t7))) )],[refute_0_246,refute_0_7806]) ).
cnf(refute_0_7808,plain,
( or(t7,and(cin,not(carry))) != or(t7,not(or(carry,t7)))
| or(t7,and(cin,not(carry))) != xor(t7,and(cin,not(carry)))
| or(t7,not(or(carry,t7))) = xor(t7,and(cin,not(carry))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,and(cin,not(carry))),xor(t7,and(cin,not(carry)))) ),[0],$fot(or(t7,not(or(carry,t7))))]]) ).
cnf(refute_0_7809,plain,
( or(t7,and(cin,not(carry))) != xor(t7,and(cin,not(carry)))
| or(t7,not(or(carry,t7))) = xor(t7,and(cin,not(carry))) ),
inference(resolve,[$cnf( $equal(or(t7,and(cin,not(carry))),or(t7,not(or(carry,t7)))) )],[refute_0_7807,refute_0_7808]) ).
cnf(refute_0_7810,plain,
xor(t7,not(or(carry,t7))) = not(xor(t7,or(carry,t7))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t7)),bind(X_334,$fot(or(carry,t7)))]]) ).
cnf(refute_0_7811,plain,
xor(t7,and(cin,not(carry))) = xor(t7,and(cin,not(carry))),
introduced(tautology,[refl,[$fot(xor(t7,and(cin,not(carry))))]]) ).
cnf(refute_0_7812,plain,
( and(cin,not(carry)) != not(or(carry,t7))
| xor(t7,and(cin,not(carry))) != xor(t7,and(cin,not(carry)))
| xor(t7,and(cin,not(carry))) = xor(t7,not(or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t7,and(cin,not(carry))),xor(t7,and(cin,not(carry)))) ),[1,1],$fot(not(or(carry,t7)))]]) ).
cnf(refute_0_7813,plain,
( and(cin,not(carry)) != not(or(carry,t7))
| xor(t7,and(cin,not(carry))) = xor(t7,not(or(carry,t7))) ),
inference(resolve,[$cnf( $equal(xor(t7,and(cin,not(carry))),xor(t7,and(cin,not(carry)))) )],[refute_0_7811,refute_0_7812]) ).
cnf(refute_0_7814,plain,
xor(t7,and(cin,not(carry))) = xor(t7,not(or(carry,t7))),
inference(resolve,[$cnf( $equal(and(cin,not(carry)),not(or(carry,t7))) )],[refute_0_246,refute_0_7813]) ).
cnf(refute_0_7815,plain,
( xor(t7,and(cin,not(carry))) != xor(t7,not(or(carry,t7)))
| xor(t7,not(or(carry,t7))) != not(xor(t7,or(carry,t7)))
| xor(t7,and(cin,not(carry))) = not(xor(t7,or(carry,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t7,and(cin,not(carry))))),bind(Y0,$fot(xor(t7,not(or(carry,t7))))),bind(Z0,$fot(not(xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_7816,plain,
( xor(t7,not(or(carry,t7))) != not(xor(t7,or(carry,t7)))
| xor(t7,and(cin,not(carry))) = not(xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(xor(t7,and(cin,not(carry))),xor(t7,not(or(carry,t7)))) )],[refute_0_7814,refute_0_7815]) ).
cnf(refute_0_7817,plain,
xor(t7,and(cin,not(carry))) = not(xor(t7,or(carry,t7))),
inference(resolve,[$cnf( $equal(xor(t7,not(or(carry,t7))),not(xor(t7,or(carry,t7)))) )],[refute_0_7810,refute_0_7816]) ).
cnf(refute_0_7818,plain,
( or(t7,not(or(carry,t7))) != xor(t7,and(cin,not(carry)))
| xor(t7,and(cin,not(carry))) != not(xor(t7,or(carry,t7)))
| or(t7,not(or(carry,t7))) = not(xor(t7,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(t7,not(or(carry,t7))),not(xor(t7,or(carry,t7)))) ),[0],$fot(xor(t7,and(cin,not(carry))))]]) ).
cnf(refute_0_7819,plain,
( or(t7,not(or(carry,t7))) != xor(t7,and(cin,not(carry)))
| or(t7,not(or(carry,t7))) = not(xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(xor(t7,and(cin,not(carry))),not(xor(t7,or(carry,t7)))) )],[refute_0_7817,refute_0_7818]) ).
cnf(refute_0_7820,plain,
( or(t7,and(cin,not(carry))) != xor(t7,and(cin,not(carry)))
| or(t7,not(or(carry,t7))) = not(xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(or(t7,not(or(carry,t7))),xor(t7,and(cin,not(carry)))) )],[refute_0_7809,refute_0_7819]) ).
cnf(refute_0_7821,plain,
or(t7,not(or(carry,t7))) = not(xor(t7,or(carry,t7))),
inference(resolve,[$cnf( $equal(or(t7,and(cin,not(carry))),xor(t7,and(cin,not(carry)))) )],[refute_0_7803,refute_0_7820]) ).
cnf(refute_0_7822,plain,
( or(sum,or(t7,not(or(carry,t7)))) != ll1
| or(t7,not(or(carry,t7))) != not(xor(t7,or(carry,t7)))
| or(sum,not(xor(t7,or(carry,t7)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(sum,or(t7,not(or(carry,t7)))),ll1) ),[0,1],$fot(not(xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_7823,plain,
( or(sum,or(t7,not(or(carry,t7)))) != ll1
| or(sum,not(xor(t7,or(carry,t7)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t7,not(or(carry,t7))),not(xor(t7,or(carry,t7)))) )],[refute_0_7821,refute_0_7822]) ).
cnf(refute_0_7824,plain,
or(sum,not(xor(t7,or(carry,t7)))) = ll1,
inference(resolve,[$cnf( $equal(or(sum,or(t7,not(or(carry,t7)))),ll1) )],[refute_0_7702,refute_0_7823]) ).
cnf(refute_0_7825,plain,
( and(or(sum,not(xor(t7,or(carry,t7)))),not(or(not(xor(t7,or(carry,t7))),sum))) != ll0
| or(sum,not(xor(t7,or(carry,t7)))) != ll1
| and(ll1,not(or(not(xor(t7,or(carry,t7))),sum))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(sum,not(xor(t7,or(carry,t7)))),not(or(not(xor(t7,or(carry,t7))),sum))),ll0) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_7826,plain,
( and(or(sum,not(xor(t7,or(carry,t7)))),not(or(not(xor(t7,or(carry,t7))),sum))) != ll0
| and(ll1,not(or(not(xor(t7,or(carry,t7))),sum))) = ll0 ),
inference(resolve,[$cnf( $equal(or(sum,not(xor(t7,or(carry,t7)))),ll1) )],[refute_0_7824,refute_0_7825]) ).
cnf(refute_0_7827,plain,
and(ll1,not(or(not(xor(t7,or(carry,t7))),sum))) = ll0,
inference(resolve,[$cnf( $equal(and(or(sum,not(xor(t7,or(carry,t7)))),not(or(not(xor(t7,or(carry,t7))),sum))),ll0) )],[refute_0_7676,refute_0_7826]) ).
cnf(refute_0_7828,plain,
not(or(sum,not(xor(t7,or(carry,t7))))) = and(not(sum),xor(t7,or(carry,t7))),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(t7,or(carry,t7)))),bind(X_25,$fot(sum))]]) ).
cnf(refute_0_7829,plain,
and(ll1,not(or(sum,not(xor(t7,or(carry,t7)))))) = not(or(sum,not(xor(t7,or(carry,t7))))),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(or(sum,not(xor(t7,or(carry,t7)))))))]]) ).
cnf(refute_0_7830,plain,
( and(ll1,not(or(sum,not(xor(t7,or(carry,t7)))))) != not(or(sum,not(xor(t7,or(carry,t7)))))
| not(or(sum,not(xor(t7,or(carry,t7))))) != and(not(sum),xor(t7,or(carry,t7)))
| and(ll1,not(or(sum,not(xor(t7,or(carry,t7)))))) = and(not(sum),xor(t7,or(carry,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(sum,not(xor(t7,or(carry,t7)))))))),bind(Y0,$fot(not(or(sum,not(xor(t7,or(carry,t7))))))),bind(Z0,$fot(and(not(sum),xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_7831,plain,
( not(or(sum,not(xor(t7,or(carry,t7))))) != and(not(sum),xor(t7,or(carry,t7)))
| and(ll1,not(or(sum,not(xor(t7,or(carry,t7)))))) = and(not(sum),xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(sum,not(xor(t7,or(carry,t7)))))),not(or(sum,not(xor(t7,or(carry,t7)))))) )],[refute_0_7829,refute_0_7830]) ).
cnf(refute_0_7832,plain,
and(ll1,not(or(sum,not(xor(t7,or(carry,t7)))))) = and(not(sum),xor(t7,or(carry,t7))),
inference(resolve,[$cnf( $equal(not(or(sum,not(xor(t7,or(carry,t7))))),and(not(sum),xor(t7,or(carry,t7)))) )],[refute_0_7828,refute_0_7831]) ).
cnf(refute_0_7833,plain,
and(ll1,not(or(not(xor(t7,or(carry,t7))),sum))) = and(ll1,not(or(sum,not(xor(t7,or(carry,t7)))))),
inference(subst,[],[refute_0_815:[bind(X_25,$fot(sum)),bind(X_26,$fot(not(xor(t7,or(carry,t7))))),bind(X_29,$fot(ll1))]]) ).
cnf(refute_0_7834,plain,
( and(ll1,not(or(not(xor(t7,or(carry,t7))),sum))) != and(ll1,not(or(sum,not(xor(t7,or(carry,t7))))))
| and(ll1,not(or(sum,not(xor(t7,or(carry,t7)))))) != and(not(sum),xor(t7,or(carry,t7)))
| and(ll1,not(or(not(xor(t7,or(carry,t7))),sum))) = and(not(sum),xor(t7,or(carry,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(xor(t7,or(carry,t7))),sum))))),bind(Y0,$fot(and(ll1,not(or(sum,not(xor(t7,or(carry,t7)))))))),bind(Z0,$fot(and(not(sum),xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_7835,plain,
( and(ll1,not(or(sum,not(xor(t7,or(carry,t7)))))) != and(not(sum),xor(t7,or(carry,t7)))
| and(ll1,not(or(not(xor(t7,or(carry,t7))),sum))) = and(not(sum),xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t7,or(carry,t7))),sum))),and(ll1,not(or(sum,not(xor(t7,or(carry,t7))))))) )],[refute_0_7833,refute_0_7834]) ).
cnf(refute_0_7836,plain,
and(ll1,not(or(not(xor(t7,or(carry,t7))),sum))) = and(not(sum),xor(t7,or(carry,t7))),
inference(resolve,[$cnf( $equal(and(ll1,not(or(sum,not(xor(t7,or(carry,t7)))))),and(not(sum),xor(t7,or(carry,t7)))) )],[refute_0_7832,refute_0_7835]) ).
cnf(refute_0_7837,plain,
( and(ll1,not(or(not(xor(t7,or(carry,t7))),sum))) != and(not(sum),xor(t7,or(carry,t7)))
| and(ll1,not(or(not(xor(t7,or(carry,t7))),sum))) != ll0
| and(not(sum),xor(t7,or(carry,t7))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(ll1,not(or(not(xor(t7,or(carry,t7))),sum))),ll0) ),[0],$fot(and(not(sum),xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_7838,plain,
( and(ll1,not(or(not(xor(t7,or(carry,t7))),sum))) != ll0
| and(not(sum),xor(t7,or(carry,t7))) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t7,or(carry,t7))),sum))),and(not(sum),xor(t7,or(carry,t7)))) )],[refute_0_7836,refute_0_7837]) ).
cnf(refute_0_7839,plain,
and(not(sum),xor(t7,or(carry,t7))) = ll0,
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t7,or(carry,t7))),sum))),ll0) )],[refute_0_7827,refute_0_7838]) ).
cnf(refute_0_7840,plain,
( and(not(sum),xor(t7,or(carry,t7))) != ll0
| or(and(sum,not(xor(t7,or(carry,t7)))),and(not(sum),xor(t7,or(carry,t7)))) != xor(sum,xor(t7,or(carry,t7)))
| or(and(sum,not(xor(t7,or(carry,t7)))),ll0) = xor(sum,xor(t7,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(sum,not(xor(t7,or(carry,t7)))),and(not(sum),xor(t7,or(carry,t7)))),xor(sum,xor(t7,or(carry,t7)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_7841,plain,
( or(and(sum,not(xor(t7,or(carry,t7)))),and(not(sum),xor(t7,or(carry,t7)))) != xor(sum,xor(t7,or(carry,t7)))
| or(and(sum,not(xor(t7,or(carry,t7)))),ll0) = xor(sum,xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(not(sum),xor(t7,or(carry,t7))),ll0) )],[refute_0_7839,refute_0_7840]) ).
cnf(refute_0_7842,plain,
or(and(sum,not(xor(t7,or(carry,t7)))),ll0) = xor(sum,xor(t7,or(carry,t7))),
inference(resolve,[$cnf( $equal(or(and(sum,not(xor(t7,or(carry,t7)))),and(not(sum),xor(t7,or(carry,t7)))),xor(sum,xor(t7,or(carry,t7)))) )],[refute_0_7675,refute_0_7841]) ).
cnf(refute_0_7843,plain,
or(and(sum,not(xor(t7,or(carry,t7)))),ll0) = and(sum,not(xor(t7,or(carry,t7)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(sum,not(xor(t7,or(carry,t7))))))]]) ).
cnf(refute_0_7844,plain,
( or(and(sum,not(xor(t7,or(carry,t7)))),ll0) != and(sum,not(xor(t7,or(carry,t7))))
| or(and(sum,not(xor(t7,or(carry,t7)))),ll0) != xor(sum,xor(t7,or(carry,t7)))
| and(sum,not(xor(t7,or(carry,t7)))) = xor(sum,xor(t7,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(sum,not(xor(t7,or(carry,t7)))),ll0),xor(sum,xor(t7,or(carry,t7)))) ),[0],$fot(and(sum,not(xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_7845,plain,
( or(and(sum,not(xor(t7,or(carry,t7)))),ll0) != xor(sum,xor(t7,or(carry,t7)))
| and(sum,not(xor(t7,or(carry,t7)))) = xor(sum,xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(or(and(sum,not(xor(t7,or(carry,t7)))),ll0),and(sum,not(xor(t7,or(carry,t7))))) )],[refute_0_7843,refute_0_7844]) ).
cnf(refute_0_7846,plain,
xor(or(carry,t7),t6) = xor(t6,or(carry,t7)),
inference(subst,[],[refute_0_1484:[bind(X_333,$fot(or(carry,t7)))]]) ).
cnf(refute_0_7847,plain,
xor(sum,xor(t7,or(carry,t7))) = xor(or(carry,t7),t6),
inference(subst,[],[refute_0_5997:[bind(X_385,$fot(or(carry,t7)))]]) ).
cnf(refute_0_7848,plain,
( xor(or(carry,t7),t6) != xor(t6,or(carry,t7))
| xor(sum,xor(t7,or(carry,t7))) != xor(or(carry,t7),t6)
| xor(sum,xor(t7,or(carry,t7))) = xor(t6,or(carry,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(sum,xor(t7,or(carry,t7))))),bind(Y0,$fot(xor(or(carry,t7),t6))),bind(Z0,$fot(xor(t6,or(carry,t7))))]]) ).
cnf(refute_0_7849,plain,
( xor(or(carry,t7),t6) != xor(t6,or(carry,t7))
| xor(sum,xor(t7,or(carry,t7))) = xor(t6,or(carry,t7)) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(t7,or(carry,t7))),xor(or(carry,t7),t6)) )],[refute_0_7847,refute_0_7848]) ).
cnf(refute_0_7850,plain,
xor(sum,xor(t7,or(carry,t7))) = xor(t6,or(carry,t7)),
inference(resolve,[$cnf( $equal(xor(or(carry,t7),t6),xor(t6,or(carry,t7))) )],[refute_0_7846,refute_0_7849]) ).
cnf(refute_0_7851,plain,
( and(sum,not(xor(t7,or(carry,t7)))) != xor(sum,xor(t7,or(carry,t7)))
| xor(sum,xor(t7,or(carry,t7))) != xor(t6,or(carry,t7))
| and(sum,not(xor(t7,or(carry,t7)))) = xor(t6,or(carry,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(sum,not(xor(t7,or(carry,t7)))),xor(t6,or(carry,t7))) ),[0],$fot(xor(sum,xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_7852,plain,
( and(sum,not(xor(t7,or(carry,t7)))) != xor(sum,xor(t7,or(carry,t7)))
| and(sum,not(xor(t7,or(carry,t7)))) = xor(t6,or(carry,t7)) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(t7,or(carry,t7))),xor(t6,or(carry,t7))) )],[refute_0_7850,refute_0_7851]) ).
cnf(refute_0_7853,plain,
( or(and(sum,not(xor(t7,or(carry,t7)))),ll0) != xor(sum,xor(t7,or(carry,t7)))
| and(sum,not(xor(t7,or(carry,t7)))) = xor(t6,or(carry,t7)) ),
inference(resolve,[$cnf( $equal(and(sum,not(xor(t7,or(carry,t7)))),xor(sum,xor(t7,or(carry,t7)))) )],[refute_0_7845,refute_0_7852]) ).
cnf(refute_0_7854,plain,
and(sum,not(xor(t7,or(carry,t7)))) = xor(t6,or(carry,t7)),
inference(resolve,[$cnf( $equal(or(and(sum,not(xor(t7,or(carry,t7)))),ll0),xor(sum,xor(t7,or(carry,t7)))) )],[refute_0_7842,refute_0_7853]) ).
cnf(refute_0_7855,plain,
xor(t7,or(carry,t7)) = xor(t7,or(carry,t7)),
introduced(tautology,[refl,[$fot(xor(t7,or(carry,t7)))]]) ).
cnf(refute_0_7856,plain,
( or(carry,t7) != or(a,t7)
| xor(t7,or(carry,t7)) != xor(t7,or(carry,t7))
| xor(t7,or(carry,t7)) = xor(t7,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t7,or(carry,t7)),xor(t7,or(carry,t7))) ),[1,1],$fot(or(a,t7))]]) ).
cnf(refute_0_7857,plain,
( or(carry,t7) != or(a,t7)
| xor(t7,or(carry,t7)) = xor(t7,or(a,t7)) ),
inference(resolve,[$cnf( $equal(xor(t7,or(carry,t7)),xor(t7,or(carry,t7))) )],[refute_0_7855,refute_0_7856]) ).
cnf(refute_0_7858,plain,
xor(t7,or(carry,t7)) = xor(t7,or(a,t7)),
inference(resolve,[$cnf( $equal(or(carry,t7),or(a,t7)) )],[refute_0_2743,refute_0_7857]) ).
cnf(refute_0_7859,plain,
not(xor(t7,or(carry,t7))) = not(xor(t7,or(carry,t7))),
introduced(tautology,[refl,[$fot(not(xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_7860,plain,
( not(xor(t7,or(carry,t7))) != not(xor(t7,or(carry,t7)))
| xor(t7,or(carry,t7)) != xor(t7,or(a,t7))
| not(xor(t7,or(carry,t7))) = not(xor(t7,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t7,or(carry,t7))),not(xor(t7,or(carry,t7)))) ),[1,0],$fot(xor(t7,or(a,t7)))]]) ).
cnf(refute_0_7861,plain,
( xor(t7,or(carry,t7)) != xor(t7,or(a,t7))
| not(xor(t7,or(carry,t7))) = not(xor(t7,or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(xor(t7,or(carry,t7))),not(xor(t7,or(carry,t7)))) )],[refute_0_7859,refute_0_7860]) ).
cnf(refute_0_7862,plain,
not(xor(t7,or(carry,t7))) = not(xor(t7,or(a,t7))),
inference(resolve,[$cnf( $equal(xor(t7,or(carry,t7)),xor(t7,or(a,t7))) )],[refute_0_7858,refute_0_7861]) ).
cnf(refute_0_7863,plain,
and(sum,not(xor(t7,or(carry,t7)))) = and(sum,not(xor(t7,or(carry,t7)))),
introduced(tautology,[refl,[$fot(and(sum,not(xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_7864,plain,
( and(sum,not(xor(t7,or(carry,t7)))) != and(sum,not(xor(t7,or(carry,t7))))
| not(xor(t7,or(carry,t7))) != not(xor(t7,or(a,t7)))
| and(sum,not(xor(t7,or(carry,t7)))) = and(sum,not(xor(t7,or(a,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(sum,not(xor(t7,or(carry,t7)))),and(sum,not(xor(t7,or(carry,t7))))) ),[1,1],$fot(not(xor(t7,or(a,t7))))]]) ).
cnf(refute_0_7865,plain,
( not(xor(t7,or(carry,t7))) != not(xor(t7,or(a,t7)))
| and(sum,not(xor(t7,or(carry,t7)))) = and(sum,not(xor(t7,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(and(sum,not(xor(t7,or(carry,t7)))),and(sum,not(xor(t7,or(carry,t7))))) )],[refute_0_7863,refute_0_7864]) ).
cnf(refute_0_7866,plain,
and(sum,not(xor(t7,or(carry,t7)))) = and(sum,not(xor(t7,or(a,t7)))),
inference(resolve,[$cnf( $equal(not(xor(t7,or(carry,t7))),not(xor(t7,or(a,t7)))) )],[refute_0_7862,refute_0_7865]) ).
cnf(refute_0_7867,plain,
( and(sum,not(xor(t7,or(carry,t7)))) != and(sum,not(xor(t7,or(a,t7))))
| and(sum,not(xor(t7,or(carry,t7)))) != xor(t6,or(carry,t7))
| and(sum,not(xor(t7,or(a,t7)))) = xor(t6,or(carry,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(sum,not(xor(t7,or(carry,t7)))),xor(t6,or(carry,t7))) ),[0],$fot(and(sum,not(xor(t7,or(a,t7)))))]]) ).
cnf(refute_0_7868,plain,
( and(sum,not(xor(t7,or(carry,t7)))) != xor(t6,or(carry,t7))
| and(sum,not(xor(t7,or(a,t7)))) = xor(t6,or(carry,t7)) ),
inference(resolve,[$cnf( $equal(and(sum,not(xor(t7,or(carry,t7)))),and(sum,not(xor(t7,or(a,t7))))) )],[refute_0_7866,refute_0_7867]) ).
cnf(refute_0_7869,plain,
( and(sum,not(xor(t7,or(a,t7)))) != xor(t6,or(carry,t7))
| xor(t6,or(carry,t7)) != xor(t6,or(a,t7))
| and(sum,not(xor(t7,or(a,t7)))) = xor(t6,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(sum,not(xor(t7,or(a,t7)))),xor(t6,or(a,t7))) ),[0],$fot(xor(t6,or(carry,t7)))]]) ).
cnf(refute_0_7870,plain,
( and(sum,not(xor(t7,or(a,t7)))) != xor(t6,or(carry,t7))
| and(sum,not(xor(t7,or(a,t7)))) = xor(t6,or(a,t7)) ),
inference(resolve,[$cnf( $equal(xor(t6,or(carry,t7)),xor(t6,or(a,t7))) )],[refute_0_7562,refute_0_7869]) ).
cnf(refute_0_7871,plain,
( and(sum,not(xor(t7,or(carry,t7)))) != xor(t6,or(carry,t7))
| and(sum,not(xor(t7,or(a,t7)))) = xor(t6,or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(sum,not(xor(t7,or(a,t7)))),xor(t6,or(carry,t7))) )],[refute_0_7868,refute_0_7870]) ).
cnf(refute_0_7872,plain,
and(sum,not(xor(t7,or(a,t7)))) = xor(t6,or(a,t7)),
inference(resolve,[$cnf( $equal(and(sum,not(xor(t7,or(carry,t7)))),xor(t6,or(carry,t7))) )],[refute_0_7854,refute_0_7871]) ).
cnf(refute_0_7873,plain,
not(not(or(t1,t4))) = or(t1,t4),
inference(subst,[],[not_involution:[bind(X,$fot(or(t1,t4)))]]) ).
cnf(refute_0_7874,plain,
( not(not(or(t1,t4))) != or(t1,t4)
| not(or(t1,t4)) != not(t1)
| not(not(t1)) = or(t1,t4) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(or(t1,t4))),or(t1,t4)) ),[0,0],$fot(not(t1))]]) ).
cnf(refute_0_7875,plain,
( not(not(or(t1,t4))) != or(t1,t4)
| not(not(t1)) = or(t1,t4) ),
inference(resolve,[$cnf( $equal(not(or(t1,t4)),not(t1)) )],[refute_0_1294,refute_0_7874]) ).
cnf(refute_0_7876,plain,
not(not(t1)) = or(t1,t4),
inference(resolve,[$cnf( $equal(not(not(or(t1,t4))),or(t1,t4)) )],[refute_0_7873,refute_0_7875]) ).
cnf(refute_0_7877,plain,
( not(not(t1)) != or(t1,t4)
| not(not(t1)) != t1
| t1 = or(t1,t4) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(t1)),or(t1,t4)) ),[0],$fot(t1)]]) ).
cnf(refute_0_7878,plain,
( not(not(t1)) != or(t1,t4)
| t1 = or(t1,t4) ),
inference(resolve,[$cnf( $equal(not(not(t1)),t1) )],[refute_0_3279,refute_0_7877]) ).
cnf(refute_0_7879,plain,
t1 = or(t1,t4),
inference(resolve,[$cnf( $equal(not(not(t1)),or(t1,t4)) )],[refute_0_7876,refute_0_7878]) ).
cnf(refute_0_7880,plain,
( t1 != or(t1,t4)
| or(t1,t4) = t1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(t1)),bind(Y0,$fot(or(t1,t4)))]]) ).
cnf(refute_0_7881,plain,
or(t1,t4) = t1,
inference(resolve,[$cnf( $equal(t1,or(t1,t4)) )],[refute_0_7879,refute_0_7880]) ).
cnf(refute_0_7882,plain,
and(sum,or(t1,t4)) = and(sum,or(t1,t4)),
introduced(tautology,[refl,[$fot(and(sum,or(t1,t4)))]]) ).
cnf(refute_0_7883,plain,
( and(sum,or(t1,t4)) != and(sum,or(t1,t4))
| or(t1,t4) != t1
| and(sum,or(t1,t4)) = and(sum,t1) ),
introduced(tautology,[equality,[$cnf( $equal(and(sum,or(t1,t4)),and(sum,or(t1,t4))) ),[1,1],$fot(t1)]]) ).
cnf(refute_0_7884,plain,
( or(t1,t4) != t1
| and(sum,or(t1,t4)) = and(sum,t1) ),
inference(resolve,[$cnf( $equal(and(sum,or(t1,t4)),and(sum,or(t1,t4))) )],[refute_0_7882,refute_0_7883]) ).
cnf(refute_0_7885,plain,
and(sum,or(t1,t4)) = and(sum,t1),
inference(resolve,[$cnf( $equal(or(t1,t4),t1) )],[refute_0_7881,refute_0_7884]) ).
cnf(refute_0_7886,plain,
and(sum,or(t7,X_754)) = or(and(sum,t7),and(sum,X_754)),
inference(subst,[],[or_distributive:[bind(X,$fot(sum)),bind(Y,$fot(t7)),bind(Z,$fot(X_754))]]) ).
cnf(refute_0_7887,plain,
( and(sum,or(t7,X_754)) != or(and(sum,t7),and(sum,X_754))
| and(sum,t7) != not(t6)
| and(sum,or(t7,X_754)) = or(not(t6),and(sum,X_754)) ),
introduced(tautology,[equality,[$cnf( $equal(and(sum,or(t7,X_754)),or(and(sum,t7),and(sum,X_754))) ),[1,0],$fot(not(t6))]]) ).
cnf(refute_0_7888,plain,
( and(sum,or(t7,X_754)) != or(and(sum,t7),and(sum,X_754))
| and(sum,or(t7,X_754)) = or(not(t6),and(sum,X_754)) ),
inference(resolve,[$cnf( $equal(and(sum,t7),not(t6)) )],[refute_0_6019,refute_0_7887]) ).
cnf(refute_0_7889,plain,
and(sum,or(t7,X_754)) = or(not(t6),and(sum,X_754)),
inference(resolve,[$cnf( $equal(and(sum,or(t7,X_754)),or(and(sum,t7),and(sum,X_754))) )],[refute_0_7886,refute_0_7888]) ).
cnf(refute_0_7890,plain,
and(sum,or(X_754,not(cin))) = and(sum,or(X_754,t4)),
inference(subst,[],[refute_0_7213:[bind(X_753,$fot(X_754))]]) ).
cnf(refute_0_7891,plain,
or(not(t6),and(sum,X_754)) = and(sum,or(X_754,not(cin))),
inference(subst,[],[refute_0_7205:[bind(X_753,$fot(X_754))]]) ).
cnf(refute_0_7892,plain,
( and(sum,or(X_754,not(cin))) != and(sum,or(X_754,t4))
| or(not(t6),and(sum,X_754)) != and(sum,or(X_754,not(cin)))
| or(not(t6),and(sum,X_754)) = and(sum,or(X_754,t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t6),and(sum,X_754)))),bind(Y0,$fot(and(sum,or(X_754,not(cin))))),bind(Z0,$fot(and(sum,or(X_754,t4))))]]) ).
cnf(refute_0_7893,plain,
( and(sum,or(X_754,not(cin))) != and(sum,or(X_754,t4))
| or(not(t6),and(sum,X_754)) = and(sum,or(X_754,t4)) ),
inference(resolve,[$cnf( $equal(or(not(t6),and(sum,X_754)),and(sum,or(X_754,not(cin)))) )],[refute_0_7891,refute_0_7892]) ).
cnf(refute_0_7894,plain,
or(not(t6),and(sum,X_754)) = and(sum,or(X_754,t4)),
inference(resolve,[$cnf( $equal(and(sum,or(X_754,not(cin))),and(sum,or(X_754,t4))) )],[refute_0_7890,refute_0_7893]) ).
cnf(refute_0_7895,plain,
( and(sum,or(t7,X_754)) != or(not(t6),and(sum,X_754))
| or(not(t6),and(sum,X_754)) != and(sum,or(X_754,t4))
| and(sum,or(t7,X_754)) = and(sum,or(X_754,t4)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(sum,or(t7,X_754)),and(sum,or(X_754,t4))) ),[0],$fot(or(not(t6),and(sum,X_754)))]]) ).
cnf(refute_0_7896,plain,
( and(sum,or(t7,X_754)) != or(not(t6),and(sum,X_754))
| and(sum,or(t7,X_754)) = and(sum,or(X_754,t4)) ),
inference(resolve,[$cnf( $equal(or(not(t6),and(sum,X_754)),and(sum,or(X_754,t4))) )],[refute_0_7894,refute_0_7895]) ).
cnf(refute_0_7897,plain,
and(sum,or(t7,X_754)) = and(sum,or(X_754,t4)),
inference(resolve,[$cnf( $equal(and(sum,or(t7,X_754)),or(not(t6),and(sum,X_754))) )],[refute_0_7889,refute_0_7896]) ).
cnf(refute_0_7898,plain,
and(sum,or(t7,t1)) = and(sum,or(t1,t4)),
inference(subst,[],[refute_0_7897:[bind(X_754,$fot(t1))]]) ).
cnf(refute_0_7899,plain,
( and(sum,or(t1,t4)) != and(sum,t1)
| and(sum,or(t7,t1)) != and(sum,or(t1,t4))
| and(sum,or(t7,t1)) = and(sum,t1) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(sum,or(t7,t1)))),bind(Y0,$fot(and(sum,or(t1,t4)))),bind(Z0,$fot(and(sum,t1)))]]) ).
cnf(refute_0_7900,plain,
( and(sum,or(t1,t4)) != and(sum,t1)
| and(sum,or(t7,t1)) = and(sum,t1) ),
inference(resolve,[$cnf( $equal(and(sum,or(t7,t1)),and(sum,or(t1,t4))) )],[refute_0_7898,refute_0_7899]) ).
cnf(refute_0_7901,plain,
and(sum,or(t7,t1)) = and(sum,t1),
inference(resolve,[$cnf( $equal(and(sum,or(t1,t4)),and(sum,t1)) )],[refute_0_7885,refute_0_7900]) ).
cnf(refute_0_7902,plain,
and(sum,or(X_753,not(carry))) = or(and(sum,X_753),and(sum,not(carry))),
inference(subst,[],[or_distributive:[bind(X,$fot(sum)),bind(Y,$fot(X_753)),bind(Z,$fot(not(carry)))]]) ).
cnf(refute_0_7903,plain,
and(not(carry),xor(t5,xor(cin,t6))) = and(t1,and(t5,xor(t5,xor(cin,t6)))),
inference(subst,[],[refute_0_178:[bind(X_222,$fot(xor(t5,xor(cin,t6))))]]) ).
cnf(refute_0_7904,plain,
and(xor(t5,xor(cin,t6)),or(t5,xor(t5,xor(cin,t6)))) = xor(t5,xor(cin,t6)),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(xor(t5,xor(cin,t6)))),bind(X_20,$fot(t5))]]) ).
cnf(refute_0_7905,plain,
or(t5,and(t5,not(xor(cin,t6)))) = t5,
inference(subst,[],[or_absorption:[bind(X,$fot(t5)),bind(Y,$fot(not(xor(cin,t6))))]]) ).
cnf(refute_0_7906,plain,
( and(t5,not(xor(cin,t6))) != xor(t5,xor(cin,t6))
| or(t5,and(t5,not(xor(cin,t6)))) != t5
| or(t5,xor(t5,xor(cin,t6))) = t5 ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,and(t5,not(xor(cin,t6)))),t5) ),[0,1],$fot(xor(t5,xor(cin,t6)))]]) ).
cnf(refute_0_7907,plain,
( or(t5,and(t5,not(xor(cin,t6)))) != t5
| or(t5,xor(t5,xor(cin,t6))) = t5 ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(cin,t6))),xor(t5,xor(cin,t6))) )],[refute_0_2402,refute_0_7906]) ).
cnf(refute_0_7908,plain,
or(t5,xor(t5,xor(cin,t6))) = t5,
inference(resolve,[$cnf( $equal(or(t5,and(t5,not(xor(cin,t6)))),t5) )],[refute_0_7905,refute_0_7907]) ).
cnf(refute_0_7909,plain,
( and(xor(t5,xor(cin,t6)),or(t5,xor(t5,xor(cin,t6)))) != xor(t5,xor(cin,t6))
| or(t5,xor(t5,xor(cin,t6))) != t5
| and(xor(t5,xor(cin,t6)),t5) = xor(t5,xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t5,xor(cin,t6)),or(t5,xor(t5,xor(cin,t6)))),xor(t5,xor(cin,t6))) ),[0,1],$fot(t5)]]) ).
cnf(refute_0_7910,plain,
( and(xor(t5,xor(cin,t6)),or(t5,xor(t5,xor(cin,t6)))) != xor(t5,xor(cin,t6))
| and(xor(t5,xor(cin,t6)),t5) = xor(t5,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(or(t5,xor(t5,xor(cin,t6))),t5) )],[refute_0_7908,refute_0_7909]) ).
cnf(refute_0_7911,plain,
and(xor(t5,xor(cin,t6)),t5) = xor(t5,xor(cin,t6)),
inference(resolve,[$cnf( $equal(and(xor(t5,xor(cin,t6)),or(t5,xor(t5,xor(cin,t6)))),xor(t5,xor(cin,t6))) )],[refute_0_7904,refute_0_7910]) ).
cnf(refute_0_7912,plain,
and(xor(t5,xor(cin,t6)),t5) = and(t5,xor(t5,xor(cin,t6))),
inference(subst,[],[refute_0_116:[bind(X,$fot(t5)),bind(Y,$fot(xor(t5,xor(cin,t6))))]]) ).
cnf(refute_0_7913,plain,
( and(xor(t5,xor(cin,t6)),t5) != and(t5,xor(t5,xor(cin,t6)))
| and(xor(t5,xor(cin,t6)),t5) != xor(t5,xor(cin,t6))
| and(t5,xor(t5,xor(cin,t6))) = xor(t5,xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t5,xor(cin,t6)),t5),xor(t5,xor(cin,t6))) ),[0],$fot(and(t5,xor(t5,xor(cin,t6))))]]) ).
cnf(refute_0_7914,plain,
( and(xor(t5,xor(cin,t6)),t5) != xor(t5,xor(cin,t6))
| and(t5,xor(t5,xor(cin,t6))) = xor(t5,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(and(xor(t5,xor(cin,t6)),t5),and(t5,xor(t5,xor(cin,t6)))) )],[refute_0_7912,refute_0_7913]) ).
cnf(refute_0_7915,plain,
and(t5,xor(t5,xor(cin,t6))) = xor(t5,xor(cin,t6)),
inference(resolve,[$cnf( $equal(and(xor(t5,xor(cin,t6)),t5),xor(t5,xor(cin,t6))) )],[refute_0_7911,refute_0_7914]) ).
cnf(refute_0_7916,plain,
( and(not(carry),xor(t5,xor(cin,t6))) != and(t1,and(t5,xor(t5,xor(cin,t6))))
| and(t5,xor(t5,xor(cin,t6))) != xor(t5,xor(cin,t6))
| and(not(carry),xor(t5,xor(cin,t6))) = and(t1,xor(t5,xor(cin,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),xor(t5,xor(cin,t6))),and(t1,and(t5,xor(t5,xor(cin,t6))))) ),[1,1],$fot(xor(t5,xor(cin,t6)))]]) ).
cnf(refute_0_7917,plain,
( and(not(carry),xor(t5,xor(cin,t6))) != and(t1,and(t5,xor(t5,xor(cin,t6))))
| and(not(carry),xor(t5,xor(cin,t6))) = and(t1,xor(t5,xor(cin,t6))) ),
inference(resolve,[$cnf( $equal(and(t5,xor(t5,xor(cin,t6))),xor(t5,xor(cin,t6))) )],[refute_0_7915,refute_0_7916]) ).
cnf(refute_0_7918,plain,
and(not(carry),xor(t5,xor(cin,t6))) = and(t1,xor(t5,xor(cin,t6))),
inference(resolve,[$cnf( $equal(and(not(carry),xor(t5,xor(cin,t6))),and(t1,and(t5,xor(t5,xor(cin,t6))))) )],[refute_0_7903,refute_0_7917]) ).
cnf(refute_0_7919,plain,
and(not(carry),not(xor(cin,t6))) = and(t1,and(t5,not(xor(cin,t6)))),
inference(subst,[],[refute_0_178:[bind(X_222,$fot(not(xor(cin,t6))))]]) ).
cnf(refute_0_7920,plain,
( and(not(carry),not(xor(cin,t6))) != and(t1,and(t5,not(xor(cin,t6))))
| and(t5,not(xor(cin,t6))) != xor(t5,xor(cin,t6))
| and(not(carry),not(xor(cin,t6))) = and(t1,xor(t5,xor(cin,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),not(xor(cin,t6))),and(t1,and(t5,not(xor(cin,t6))))) ),[1,1],$fot(xor(t5,xor(cin,t6)))]]) ).
cnf(refute_0_7921,plain,
( and(not(carry),not(xor(cin,t6))) != and(t1,and(t5,not(xor(cin,t6))))
| and(not(carry),not(xor(cin,t6))) = and(t1,xor(t5,xor(cin,t6))) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(cin,t6))),xor(t5,xor(cin,t6))) )],[refute_0_2402,refute_0_7920]) ).
cnf(refute_0_7922,plain,
and(not(carry),not(xor(cin,t6))) = and(t1,xor(t5,xor(cin,t6))),
inference(resolve,[$cnf( $equal(and(not(carry),not(xor(cin,t6))),and(t1,and(t5,not(xor(cin,t6))))) )],[refute_0_7919,refute_0_7921]) ).
cnf(refute_0_7923,plain,
and(not(carry),not(xor(cin,t6))) = not(or(carry,xor(cin,t6))),
inference(subst,[],[refute_0_101:[bind(X,$fot(carry)),bind(Y,$fot(xor(cin,t6)))]]) ).
cnf(refute_0_7924,plain,
( and(not(carry),not(xor(cin,t6))) != and(t1,xor(t5,xor(cin,t6)))
| and(not(carry),not(xor(cin,t6))) != not(or(carry,xor(cin,t6)))
| not(or(carry,xor(cin,t6))) = and(t1,xor(t5,xor(cin,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),not(xor(cin,t6))),and(t1,xor(t5,xor(cin,t6)))) ),[0],$fot(not(or(carry,xor(cin,t6))))]]) ).
cnf(refute_0_7925,plain,
( and(not(carry),not(xor(cin,t6))) != and(t1,xor(t5,xor(cin,t6)))
| not(or(carry,xor(cin,t6))) = and(t1,xor(t5,xor(cin,t6))) ),
inference(resolve,[$cnf( $equal(and(not(carry),not(xor(cin,t6))),not(or(carry,xor(cin,t6)))) )],[refute_0_7923,refute_0_7924]) ).
cnf(refute_0_7926,plain,
not(or(carry,xor(cin,t6))) = and(t1,xor(t5,xor(cin,t6))),
inference(resolve,[$cnf( $equal(and(not(carry),not(xor(cin,t6))),and(t1,xor(t5,xor(cin,t6)))) )],[refute_0_7922,refute_0_7925]) ).
cnf(refute_0_7927,plain,
( not(or(carry,xor(cin,t6))) != and(t1,xor(t5,xor(cin,t6)))
| and(t1,xor(t5,xor(cin,t6))) = not(or(carry,xor(cin,t6))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(carry,xor(cin,t6))))),bind(Y0,$fot(and(t1,xor(t5,xor(cin,t6)))))]]) ).
cnf(refute_0_7928,plain,
and(t1,xor(t5,xor(cin,t6))) = not(or(carry,xor(cin,t6))),
inference(resolve,[$cnf( $equal(not(or(carry,xor(cin,t6))),and(t1,xor(t5,xor(cin,t6)))) )],[refute_0_7926,refute_0_7927]) ).
cnf(refute_0_7929,plain,
( and(not(carry),xor(t5,xor(cin,t6))) != and(t1,xor(t5,xor(cin,t6)))
| and(t1,xor(t5,xor(cin,t6))) != not(or(carry,xor(cin,t6)))
| and(not(carry),xor(t5,xor(cin,t6))) = not(or(carry,xor(cin,t6))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(carry),xor(t5,xor(cin,t6))),not(or(carry,xor(cin,t6)))) ),[0],$fot(and(t1,xor(t5,xor(cin,t6))))]]) ).
cnf(refute_0_7930,plain,
( and(not(carry),xor(t5,xor(cin,t6))) != and(t1,xor(t5,xor(cin,t6)))
| and(not(carry),xor(t5,xor(cin,t6))) = not(or(carry,xor(cin,t6))) ),
inference(resolve,[$cnf( $equal(and(t1,xor(t5,xor(cin,t6))),not(or(carry,xor(cin,t6)))) )],[refute_0_7928,refute_0_7929]) ).
cnf(refute_0_7931,plain,
and(not(carry),xor(t5,xor(cin,t6))) = not(or(carry,xor(cin,t6))),
inference(resolve,[$cnf( $equal(and(not(carry),xor(t5,xor(cin,t6))),and(t1,xor(t5,xor(cin,t6)))) )],[refute_0_7918,refute_0_7930]) ).
cnf(refute_0_7932,plain,
and(not(carry),xor(t5,xor(cin,t6))) = and(not(carry),xor(t5,xor(cin,t6))),
introduced(tautology,[refl,[$fot(and(not(carry),xor(t5,xor(cin,t6))))]]) ).
cnf(refute_0_7933,plain,
( and(not(carry),xor(t5,xor(cin,t6))) != and(not(carry),xor(t5,xor(cin,t6)))
| xor(t5,xor(cin,t6)) != xor(t6,t7)
| and(not(carry),xor(t5,xor(cin,t6))) = and(not(carry),xor(t6,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),xor(t5,xor(cin,t6))),and(not(carry),xor(t5,xor(cin,t6)))) ),[1,1],$fot(xor(t6,t7))]]) ).
cnf(refute_0_7934,plain,
( xor(t5,xor(cin,t6)) != xor(t6,t7)
| and(not(carry),xor(t5,xor(cin,t6))) = and(not(carry),xor(t6,t7)) ),
inference(resolve,[$cnf( $equal(and(not(carry),xor(t5,xor(cin,t6))),and(not(carry),xor(t5,xor(cin,t6)))) )],[refute_0_7932,refute_0_7933]) ).
cnf(refute_0_7935,plain,
and(not(carry),xor(t5,xor(cin,t6))) = and(not(carry),xor(t6,t7)),
inference(resolve,[$cnf( $equal(xor(t5,xor(cin,t6)),xor(t6,t7)) )],[refute_0_2494,refute_0_7934]) ).
cnf(refute_0_7936,plain,
( and(not(carry),xor(t5,xor(cin,t6))) != and(not(carry),xor(t6,t7))
| and(not(carry),xor(t5,xor(cin,t6))) != not(or(carry,xor(cin,t6)))
| and(not(carry),xor(t6,t7)) = not(or(carry,xor(cin,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),xor(t5,xor(cin,t6))),not(or(carry,xor(cin,t6)))) ),[0],$fot(and(not(carry),xor(t6,t7)))]]) ).
cnf(refute_0_7937,plain,
( and(not(carry),xor(t5,xor(cin,t6))) != not(or(carry,xor(cin,t6)))
| and(not(carry),xor(t6,t7)) = not(or(carry,xor(cin,t6))) ),
inference(resolve,[$cnf( $equal(and(not(carry),xor(t5,xor(cin,t6))),and(not(carry),xor(t6,t7))) )],[refute_0_7935,refute_0_7936]) ).
cnf(refute_0_7938,plain,
and(t1,xor(t5,xor(cin,t6))) = and(t1,xor(t5,xor(cin,t6))),
introduced(tautology,[refl,[$fot(and(t1,xor(t5,xor(cin,t6))))]]) ).
cnf(refute_0_7939,plain,
( and(t1,xor(t5,xor(cin,t6))) != and(t1,xor(t5,xor(cin,t6)))
| xor(t5,xor(cin,t6)) != xor(t6,t7)
| and(t1,xor(t5,xor(cin,t6))) = and(t1,xor(t6,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,xor(t5,xor(cin,t6))),and(t1,xor(t5,xor(cin,t6)))) ),[1,1],$fot(xor(t6,t7))]]) ).
cnf(refute_0_7940,plain,
( xor(t5,xor(cin,t6)) != xor(t6,t7)
| and(t1,xor(t5,xor(cin,t6))) = and(t1,xor(t6,t7)) ),
inference(resolve,[$cnf( $equal(and(t1,xor(t5,xor(cin,t6))),and(t1,xor(t5,xor(cin,t6)))) )],[refute_0_7938,refute_0_7939]) ).
cnf(refute_0_7941,plain,
and(t1,xor(t5,xor(cin,t6))) = and(t1,xor(t6,t7)),
inference(resolve,[$cnf( $equal(xor(t5,xor(cin,t6)),xor(t6,t7)) )],[refute_0_2494,refute_0_7940]) ).
cnf(refute_0_7942,plain,
( and(t1,xor(t5,xor(cin,t6))) != and(t1,xor(t6,t7))
| not(or(carry,xor(cin,t6))) != and(t1,xor(t5,xor(cin,t6)))
| not(or(carry,xor(cin,t6))) = and(t1,xor(t6,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,xor(cin,t6))),and(t1,xor(t5,xor(cin,t6)))) ),[1],$fot(and(t1,xor(t6,t7)))]]) ).
cnf(refute_0_7943,plain,
( not(or(carry,xor(cin,t6))) != and(t1,xor(t5,xor(cin,t6)))
| not(or(carry,xor(cin,t6))) = and(t1,xor(t6,t7)) ),
inference(resolve,[$cnf( $equal(and(t1,xor(t5,xor(cin,t6))),and(t1,xor(t6,t7))) )],[refute_0_7941,refute_0_7942]) ).
cnf(refute_0_7944,plain,
not(or(carry,xor(cin,t6))) = and(t1,xor(t6,t7)),
inference(resolve,[$cnf( $equal(not(or(carry,xor(cin,t6))),and(t1,xor(t5,xor(cin,t6)))) )],[refute_0_7926,refute_0_7943]) ).
cnf(refute_0_7945,plain,
( and(not(carry),xor(t6,t7)) != not(or(carry,xor(cin,t6)))
| not(or(carry,xor(cin,t6))) != and(t1,xor(t6,t7))
| and(not(carry),xor(t6,t7)) = and(t1,xor(t6,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(carry),xor(t6,t7)),and(t1,xor(t6,t7))) ),[0],$fot(not(or(carry,xor(cin,t6))))]]) ).
cnf(refute_0_7946,plain,
( and(not(carry),xor(t6,t7)) != not(or(carry,xor(cin,t6)))
| and(not(carry),xor(t6,t7)) = and(t1,xor(t6,t7)) ),
inference(resolve,[$cnf( $equal(not(or(carry,xor(cin,t6))),and(t1,xor(t6,t7))) )],[refute_0_7944,refute_0_7945]) ).
cnf(refute_0_7947,plain,
( and(not(carry),xor(t5,xor(cin,t6))) != not(or(carry,xor(cin,t6)))
| and(not(carry),xor(t6,t7)) = and(t1,xor(t6,t7)) ),
inference(resolve,[$cnf( $equal(and(not(carry),xor(t6,t7)),not(or(carry,xor(cin,t6)))) )],[refute_0_7937,refute_0_7946]) ).
cnf(refute_0_7948,plain,
and(not(carry),xor(t6,t7)) = and(t1,xor(t6,t7)),
inference(resolve,[$cnf( $equal(and(not(carry),xor(t5,xor(cin,t6))),not(or(carry,xor(cin,t6)))) )],[refute_0_7931,refute_0_7947]) ).
cnf(refute_0_7949,plain,
and(not(carry),sum) = and(sum,not(carry)),
inference(subst,[],[refute_0_116:[bind(X,$fot(sum)),bind(Y,$fot(not(carry)))]]) ).
cnf(refute_0_7950,plain,
and(not(carry),xor(t6,t7)) = and(not(carry),xor(t6,t7)),
introduced(tautology,[refl,[$fot(and(not(carry),xor(t6,t7)))]]) ).
cnf(refute_0_7951,plain,
( and(not(carry),xor(t6,t7)) != and(not(carry),xor(t6,t7))
| xor(t6,t7) != sum
| and(not(carry),xor(t6,t7)) = and(not(carry),sum) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),xor(t6,t7)),and(not(carry),xor(t6,t7))) ),[1,1],$fot(sum)]]) ).
cnf(refute_0_7952,plain,
( xor(t6,t7) != sum
| and(not(carry),xor(t6,t7)) = and(not(carry),sum) ),
inference(resolve,[$cnf( $equal(and(not(carry),xor(t6,t7)),and(not(carry),xor(t6,t7))) )],[refute_0_7950,refute_0_7951]) ).
cnf(refute_0_7953,plain,
and(not(carry),xor(t6,t7)) = and(not(carry),sum),
inference(resolve,[$cnf( $equal(xor(t6,t7),sum) )],[refute_0_1154,refute_0_7952]) ).
cnf(refute_0_7954,plain,
( and(not(carry),sum) != and(sum,not(carry))
| and(not(carry),xor(t6,t7)) != and(not(carry),sum)
| and(not(carry),xor(t6,t7)) = and(sum,not(carry)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(carry),xor(t6,t7)))),bind(Y0,$fot(and(not(carry),sum))),bind(Z0,$fot(and(sum,not(carry))))]]) ).
cnf(refute_0_7955,plain,
( and(not(carry),sum) != and(sum,not(carry))
| and(not(carry),xor(t6,t7)) = and(sum,not(carry)) ),
inference(resolve,[$cnf( $equal(and(not(carry),xor(t6,t7)),and(not(carry),sum)) )],[refute_0_7953,refute_0_7954]) ).
cnf(refute_0_7956,plain,
and(not(carry),xor(t6,t7)) = and(sum,not(carry)),
inference(resolve,[$cnf( $equal(and(not(carry),sum),and(sum,not(carry))) )],[refute_0_7949,refute_0_7955]) ).
cnf(refute_0_7957,plain,
( and(not(carry),xor(t6,t7)) != and(sum,not(carry))
| and(not(carry),xor(t6,t7)) != and(t1,xor(t6,t7))
| and(sum,not(carry)) = and(t1,xor(t6,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),xor(t6,t7)),and(t1,xor(t6,t7))) ),[0],$fot(and(sum,not(carry)))]]) ).
cnf(refute_0_7958,plain,
( and(not(carry),xor(t6,t7)) != and(t1,xor(t6,t7))
| and(sum,not(carry)) = and(t1,xor(t6,t7)) ),
inference(resolve,[$cnf( $equal(and(not(carry),xor(t6,t7)),and(sum,not(carry))) )],[refute_0_7956,refute_0_7957]) ).
cnf(refute_0_7959,plain,
and(t1,sum) = and(sum,t1),
inference(subst,[],[refute_0_116:[bind(X,$fot(sum)),bind(Y,$fot(t1))]]) ).
cnf(refute_0_7960,plain,
and(t1,xor(t6,t7)) = and(t1,xor(t6,t7)),
introduced(tautology,[refl,[$fot(and(t1,xor(t6,t7)))]]) ).
cnf(refute_0_7961,plain,
( and(t1,xor(t6,t7)) != and(t1,xor(t6,t7))
| xor(t6,t7) != sum
| and(t1,xor(t6,t7)) = and(t1,sum) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,xor(t6,t7)),and(t1,xor(t6,t7))) ),[1,1],$fot(sum)]]) ).
cnf(refute_0_7962,plain,
( xor(t6,t7) != sum
| and(t1,xor(t6,t7)) = and(t1,sum) ),
inference(resolve,[$cnf( $equal(and(t1,xor(t6,t7)),and(t1,xor(t6,t7))) )],[refute_0_7960,refute_0_7961]) ).
cnf(refute_0_7963,plain,
and(t1,xor(t6,t7)) = and(t1,sum),
inference(resolve,[$cnf( $equal(xor(t6,t7),sum) )],[refute_0_1154,refute_0_7962]) ).
cnf(refute_0_7964,plain,
( and(t1,sum) != and(sum,t1)
| and(t1,xor(t6,t7)) != and(t1,sum)
| and(t1,xor(t6,t7)) = and(sum,t1) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t1,xor(t6,t7)))),bind(Y0,$fot(and(t1,sum))),bind(Z0,$fot(and(sum,t1)))]]) ).
cnf(refute_0_7965,plain,
( and(t1,sum) != and(sum,t1)
| and(t1,xor(t6,t7)) = and(sum,t1) ),
inference(resolve,[$cnf( $equal(and(t1,xor(t6,t7)),and(t1,sum)) )],[refute_0_7963,refute_0_7964]) ).
cnf(refute_0_7966,plain,
and(t1,xor(t6,t7)) = and(sum,t1),
inference(resolve,[$cnf( $equal(and(t1,sum),and(sum,t1)) )],[refute_0_7959,refute_0_7965]) ).
cnf(refute_0_7967,plain,
( and(sum,not(carry)) != and(t1,xor(t6,t7))
| and(t1,xor(t6,t7)) != and(sum,t1)
| and(sum,not(carry)) = and(sum,t1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(sum,not(carry)),and(sum,t1)) ),[0],$fot(and(t1,xor(t6,t7)))]]) ).
cnf(refute_0_7968,plain,
( and(sum,not(carry)) != and(t1,xor(t6,t7))
| and(sum,not(carry)) = and(sum,t1) ),
inference(resolve,[$cnf( $equal(and(t1,xor(t6,t7)),and(sum,t1)) )],[refute_0_7966,refute_0_7967]) ).
cnf(refute_0_7969,plain,
( and(not(carry),xor(t6,t7)) != and(t1,xor(t6,t7))
| and(sum,not(carry)) = and(sum,t1) ),
inference(resolve,[$cnf( $equal(and(sum,not(carry)),and(t1,xor(t6,t7))) )],[refute_0_7958,refute_0_7968]) ).
cnf(refute_0_7970,plain,
and(sum,not(carry)) = and(sum,t1),
inference(resolve,[$cnf( $equal(and(not(carry),xor(t6,t7)),and(t1,xor(t6,t7))) )],[refute_0_7948,refute_0_7969]) ).
cnf(refute_0_7971,plain,
( and(sum,not(carry)) != and(sum,t1)
| and(sum,or(X_753,not(carry))) != or(and(sum,X_753),and(sum,not(carry)))
| and(sum,or(X_753,not(carry))) = or(and(sum,X_753),and(sum,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(and(sum,or(X_753,not(carry))),or(and(sum,X_753),and(sum,not(carry)))) ),[1,1],$fot(and(sum,t1))]]) ).
cnf(refute_0_7972,plain,
( and(sum,or(X_753,not(carry))) != or(and(sum,X_753),and(sum,not(carry)))
| and(sum,or(X_753,not(carry))) = or(and(sum,X_753),and(sum,t1)) ),
inference(resolve,[$cnf( $equal(and(sum,not(carry)),and(sum,t1)) )],[refute_0_7970,refute_0_7971]) ).
cnf(refute_0_7973,plain,
and(sum,or(X_753,not(carry))) = or(and(sum,X_753),and(sum,t1)),
inference(resolve,[$cnf( $equal(and(sum,or(X_753,not(carry))),or(and(sum,X_753),and(sum,not(carry)))) )],[refute_0_7902,refute_0_7972]) ).
cnf(refute_0_7974,plain,
or(and(sum,X_753),and(sum,t1)) = and(sum,or(X_753,t1)),
inference(subst,[],[refute_0_3842:[bind(X,$fot(sum)),bind(Y,$fot(X_753)),bind(Z,$fot(t1))]]) ).
cnf(refute_0_7975,plain,
( and(sum,or(X_753,not(carry))) != or(and(sum,X_753),and(sum,t1))
| or(and(sum,X_753),and(sum,t1)) != and(sum,or(X_753,t1))
| and(sum,or(X_753,not(carry))) = and(sum,or(X_753,t1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(sum,or(X_753,not(carry))),and(sum,or(X_753,t1))) ),[0],$fot(or(and(sum,X_753),and(sum,t1)))]]) ).
cnf(refute_0_7976,plain,
( and(sum,or(X_753,not(carry))) != or(and(sum,X_753),and(sum,t1))
| and(sum,or(X_753,not(carry))) = and(sum,or(X_753,t1)) ),
inference(resolve,[$cnf( $equal(or(and(sum,X_753),and(sum,t1)),and(sum,or(X_753,t1))) )],[refute_0_7974,refute_0_7975]) ).
cnf(refute_0_7977,plain,
and(sum,or(X_753,not(carry))) = and(sum,or(X_753,t1)),
inference(resolve,[$cnf( $equal(and(sum,or(X_753,not(carry))),or(and(sum,X_753),and(sum,t1))) )],[refute_0_7973,refute_0_7976]) ).
cnf(refute_0_7978,plain,
and(sum,or(t7,not(carry))) = and(sum,or(t7,t1)),
inference(subst,[],[refute_0_7977:[bind(X_753,$fot(t7))]]) ).
cnf(refute_0_7979,plain,
( and(sum,or(t7,not(carry))) != and(sum,or(t7,t1))
| and(sum,or(t7,t1)) != and(sum,t1)
| and(sum,or(t7,not(carry))) = and(sum,t1) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(sum,or(t7,not(carry))))),bind(Y0,$fot(and(sum,or(t7,t1)))),bind(Z0,$fot(and(sum,t1)))]]) ).
cnf(refute_0_7980,plain,
( and(sum,or(t7,t1)) != and(sum,t1)
| and(sum,or(t7,not(carry))) = and(sum,t1) ),
inference(resolve,[$cnf( $equal(and(sum,or(t7,not(carry))),and(sum,or(t7,t1))) )],[refute_0_7978,refute_0_7979]) ).
cnf(refute_0_7981,plain,
and(sum,or(t7,not(carry))) = and(sum,t1),
inference(resolve,[$cnf( $equal(and(sum,or(t7,t1)),and(sum,t1)) )],[refute_0_7901,refute_0_7980]) ).
cnf(refute_0_7982,plain,
or(not(carry),t7) = or(t7,not(carry)),
inference(subst,[],[refute_0_5:[bind(X,$fot(t7)),bind(Y,$fot(not(carry)))]]) ).
cnf(refute_0_7983,plain,
not(and(carry,not(t7))) = or(not(carry),t7),
inference(subst,[],[refute_0_435:[bind(X_29,$fot(carry)),bind(X_30,$fot(t7))]]) ).
cnf(refute_0_7984,plain,
( not(and(carry,not(t7))) != or(not(carry),t7)
| or(not(carry),t7) != or(t7,not(carry))
| not(and(carry,not(t7))) = or(t7,not(carry)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(carry,not(t7))))),bind(Y0,$fot(or(not(carry),t7))),bind(Z0,$fot(or(t7,not(carry))))]]) ).
cnf(refute_0_7985,plain,
( or(not(carry),t7) != or(t7,not(carry))
| not(and(carry,not(t7))) = or(t7,not(carry)) ),
inference(resolve,[$cnf( $equal(not(and(carry,not(t7))),or(not(carry),t7)) )],[refute_0_7983,refute_0_7984]) ).
cnf(refute_0_7986,plain,
not(and(carry,not(t7))) = or(t7,not(carry)),
inference(resolve,[$cnf( $equal(or(not(carry),t7),or(t7,not(carry))) )],[refute_0_7982,refute_0_7985]) ).
cnf(refute_0_7987,plain,
xor(t6,xor(t6,and(carry,not(t7)))) = and(carry,not(t7)),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(t6)),bind(X_335,$fot(and(carry,not(t7))))]]) ).
cnf(refute_0_7988,plain,
and(t6,or(xor(carry,t5),not(cin))) = xor(t6,and(cin,not(xor(carry,t5)))),
inference(subst,[],[refute_0_7533:[bind(X,$fot(xor(carry,t5)))]]) ).
cnf(refute_0_7989,plain,
not(not(and(carry,t5))) = and(carry,t5),
inference(subst,[],[not_involution:[bind(X,$fot(and(carry,t5)))]]) ).
cnf(refute_0_7990,plain,
or(and(carry,not(t5)),and(not(carry),t5)) = xor(carry,t5),
inference(subst,[],[refute_0_9:[bind(X,$fot(carry)),bind(Y,$fot(t5))]]) ).
cnf(refute_0_7991,plain,
( and(carry,not(t5)) != not(t5)
| or(and(carry,not(t5)),and(not(carry),t5)) != xor(carry,t5)
| or(not(t5),and(not(carry),t5)) = xor(carry,t5) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(carry,not(t5)),and(not(carry),t5)),xor(carry,t5)) ),[0,0],$fot(not(t5))]]) ).
cnf(refute_0_7992,plain,
( or(and(carry,not(t5)),and(not(carry),t5)) != xor(carry,t5)
| or(not(t5),and(not(carry),t5)) = xor(carry,t5) ),
inference(resolve,[$cnf( $equal(and(carry,not(t5)),not(t5)) )],[refute_0_4317,refute_0_7991]) ).
cnf(refute_0_7993,plain,
or(not(t5),and(not(carry),t5)) = xor(carry,t5),
inference(resolve,[$cnf( $equal(or(and(carry,not(t5)),and(not(carry),t5)),xor(carry,t5)) )],[refute_0_7990,refute_0_7992]) ).
cnf(refute_0_7994,plain,
not(and(t5,carry)) = not(and(carry,t5)),
inference(subst,[],[refute_0_333:[bind(X_31,$fot(t5)),bind(X_32,$fot(carry))]]) ).
cnf(refute_0_7995,plain,
or(not(t5),not(carry)) = not(and(t5,carry)),
inference(subst,[],[refute_0_147:[bind(X,$fot(t5)),bind(Y,$fot(carry))]]) ).
cnf(refute_0_7996,plain,
( not(and(t5,carry)) != not(and(carry,t5))
| or(not(t5),not(carry)) != not(and(t5,carry))
| or(not(t5),not(carry)) = not(and(carry,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t5),not(carry)))),bind(Y0,$fot(not(and(t5,carry)))),bind(Z0,$fot(not(and(carry,t5))))]]) ).
cnf(refute_0_7997,plain,
( not(and(t5,carry)) != not(and(carry,t5))
| or(not(t5),not(carry)) = not(and(carry,t5)) ),
inference(resolve,[$cnf( $equal(or(not(t5),not(carry)),not(and(t5,carry))) )],[refute_0_7995,refute_0_7996]) ).
cnf(refute_0_7998,plain,
or(not(t5),not(carry)) = not(and(carry,t5)),
inference(resolve,[$cnf( $equal(not(and(t5,carry)),not(and(carry,t5))) )],[refute_0_7994,refute_0_7997]) ).
cnf(refute_0_7999,plain,
and(not(carry),or(t5,not(carry))) = not(carry),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(not(carry))),bind(X_20,$fot(t5))]]) ).
cnf(refute_0_8000,plain,
( and(not(carry),or(t5,not(carry))) != not(carry)
| or(t5,not(carry)) != t5
| and(not(carry),t5) = not(carry) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),or(t5,not(carry))),not(carry)) ),[0,1],$fot(t5)]]) ).
cnf(refute_0_8001,plain,
( and(not(carry),or(t5,not(carry))) != not(carry)
| and(not(carry),t5) = not(carry) ),
inference(resolve,[$cnf( $equal(or(t5,not(carry)),t5) )],[refute_0_4310,refute_0_8000]) ).
cnf(refute_0_8002,plain,
and(not(carry),t5) = not(carry),
inference(resolve,[$cnf( $equal(and(not(carry),or(t5,not(carry))),not(carry)) )],[refute_0_7999,refute_0_8001]) ).
cnf(refute_0_8003,plain,
or(not(t5),and(not(carry),t5)) = or(not(t5),and(not(carry),t5)),
introduced(tautology,[refl,[$fot(or(not(t5),and(not(carry),t5)))]]) ).
cnf(refute_0_8004,plain,
( and(not(carry),t5) != not(carry)
| or(not(t5),and(not(carry),t5)) != or(not(t5),and(not(carry),t5))
| or(not(t5),and(not(carry),t5)) = or(not(t5),not(carry)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t5),and(not(carry),t5)),or(not(t5),and(not(carry),t5))) ),[1,1],$fot(not(carry))]]) ).
cnf(refute_0_8005,plain,
( and(not(carry),t5) != not(carry)
| or(not(t5),and(not(carry),t5)) = or(not(t5),not(carry)) ),
inference(resolve,[$cnf( $equal(or(not(t5),and(not(carry),t5)),or(not(t5),and(not(carry),t5))) )],[refute_0_8003,refute_0_8004]) ).
cnf(refute_0_8006,plain,
or(not(t5),and(not(carry),t5)) = or(not(t5),not(carry)),
inference(resolve,[$cnf( $equal(and(not(carry),t5),not(carry)) )],[refute_0_8002,refute_0_8005]) ).
cnf(refute_0_8007,plain,
( or(not(t5),and(not(carry),t5)) != or(not(t5),not(carry))
| or(not(t5),not(carry)) != not(and(carry,t5))
| or(not(t5),and(not(carry),t5)) = not(and(carry,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t5),and(not(carry),t5)))),bind(Y0,$fot(or(not(t5),not(carry)))),bind(Z0,$fot(not(and(carry,t5))))]]) ).
cnf(refute_0_8008,plain,
( or(not(t5),not(carry)) != not(and(carry,t5))
| or(not(t5),and(not(carry),t5)) = not(and(carry,t5)) ),
inference(resolve,[$cnf( $equal(or(not(t5),and(not(carry),t5)),or(not(t5),not(carry))) )],[refute_0_8006,refute_0_8007]) ).
cnf(refute_0_8009,plain,
or(not(t5),and(not(carry),t5)) = not(and(carry,t5)),
inference(resolve,[$cnf( $equal(or(not(t5),not(carry)),not(and(carry,t5))) )],[refute_0_7998,refute_0_8008]) ).
cnf(refute_0_8010,plain,
( or(not(t5),and(not(carry),t5)) != not(and(carry,t5))
| or(not(t5),and(not(carry),t5)) != xor(carry,t5)
| not(and(carry,t5)) = xor(carry,t5) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t5),and(not(carry),t5)),xor(carry,t5)) ),[0],$fot(not(and(carry,t5)))]]) ).
cnf(refute_0_8011,plain,
( or(not(t5),and(not(carry),t5)) != xor(carry,t5)
| not(and(carry,t5)) = xor(carry,t5) ),
inference(resolve,[$cnf( $equal(or(not(t5),and(not(carry),t5)),not(and(carry,t5))) )],[refute_0_8009,refute_0_8010]) ).
cnf(refute_0_8012,plain,
not(and(carry,t5)) = xor(carry,t5),
inference(resolve,[$cnf( $equal(or(not(t5),and(not(carry),t5)),xor(carry,t5)) )],[refute_0_7993,refute_0_8011]) ).
cnf(refute_0_8013,plain,
( not(and(carry,t5)) != xor(carry,t5)
| not(not(and(carry,t5))) != and(carry,t5)
| not(xor(carry,t5)) = and(carry,t5) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(carry,t5))),and(carry,t5)) ),[0,0],$fot(xor(carry,t5))]]) ).
cnf(refute_0_8014,plain,
( not(not(and(carry,t5))) != and(carry,t5)
| not(xor(carry,t5)) = and(carry,t5) ),
inference(resolve,[$cnf( $equal(not(and(carry,t5)),xor(carry,t5)) )],[refute_0_8012,refute_0_8013]) ).
cnf(refute_0_8015,plain,
not(xor(carry,t5)) = and(carry,t5),
inference(resolve,[$cnf( $equal(not(not(and(carry,t5))),and(carry,t5)) )],[refute_0_7989,refute_0_8014]) ).
cnf(refute_0_8016,plain,
( and(t6,or(xor(carry,t5),not(cin))) != xor(t6,and(cin,not(xor(carry,t5))))
| not(xor(carry,t5)) != and(carry,t5)
| and(t6,or(xor(carry,t5),not(cin))) = xor(t6,and(cin,and(carry,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(xor(carry,t5),not(cin))),xor(t6,and(cin,not(xor(carry,t5))))) ),[1,1,1],$fot(and(carry,t5))]]) ).
cnf(refute_0_8017,plain,
( and(t6,or(xor(carry,t5),not(cin))) != xor(t6,and(cin,not(xor(carry,t5))))
| and(t6,or(xor(carry,t5),not(cin))) = xor(t6,and(cin,and(carry,t5))) ),
inference(resolve,[$cnf( $equal(not(xor(carry,t5)),and(carry,t5)) )],[refute_0_8015,refute_0_8016]) ).
cnf(refute_0_8018,plain,
and(t6,or(xor(carry,t5),not(cin))) = xor(t6,and(cin,and(carry,t5))),
inference(resolve,[$cnf( $equal(and(t6,or(xor(carry,t5),not(cin))),xor(t6,and(cin,not(xor(carry,t5))))) )],[refute_0_7988,refute_0_8017]) ).
cnf(refute_0_8019,plain,
and(carry,and(cin,t5)) = and(carry,and(cin,t5)),
introduced(tautology,[refl,[$fot(and(carry,and(cin,t5)))]]) ).
cnf(refute_0_8020,plain,
( and(carry,and(cin,t5)) != and(carry,and(cin,t5))
| and(cin,t5) != not(t7)
| and(carry,and(cin,t5)) = and(carry,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,and(cin,t5)),and(carry,and(cin,t5))) ),[1,1],$fot(not(t7))]]) ).
cnf(refute_0_8021,plain,
( and(cin,t5) != not(t7)
| and(carry,and(cin,t5)) = and(carry,not(t7)) ),
inference(resolve,[$cnf( $equal(and(carry,and(cin,t5)),and(carry,and(cin,t5))) )],[refute_0_8019,refute_0_8020]) ).
cnf(refute_0_8022,plain,
and(carry,and(cin,t5)) = and(carry,not(t7)),
inference(resolve,[$cnf( $equal(and(cin,t5),not(t7)) )],[refute_0_200,refute_0_8021]) ).
cnf(refute_0_8023,plain,
not(and(carry,and(cin,t5))) = not(and(carry,and(cin,t5))),
introduced(tautology,[refl,[$fot(not(and(carry,and(cin,t5))))]]) ).
cnf(refute_0_8024,plain,
( and(carry,and(cin,t5)) != and(carry,not(t7))
| not(and(carry,and(cin,t5))) != not(and(carry,and(cin,t5)))
| not(and(carry,and(cin,t5))) = not(and(carry,not(t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(carry,and(cin,t5))),not(and(carry,and(cin,t5)))) ),[1,0],$fot(and(carry,not(t7)))]]) ).
cnf(refute_0_8025,plain,
( and(carry,and(cin,t5)) != and(carry,not(t7))
| not(and(carry,and(cin,t5))) = not(and(carry,not(t7))) ),
inference(resolve,[$cnf( $equal(not(and(carry,and(cin,t5))),not(and(carry,and(cin,t5)))) )],[refute_0_8023,refute_0_8024]) ).
cnf(refute_0_8026,plain,
not(and(carry,and(cin,t5))) = not(and(carry,not(t7))),
inference(resolve,[$cnf( $equal(and(carry,and(cin,t5)),and(carry,not(t7))) )],[refute_0_8022,refute_0_8025]) ).
cnf(refute_0_8027,plain,
( not(and(carry,and(cin,t5))) != not(and(carry,not(t7)))
| not(and(carry,not(t7))) != or(t7,not(carry))
| not(and(carry,and(cin,t5))) = or(t7,not(carry)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(carry,and(cin,t5))))),bind(Y0,$fot(not(and(carry,not(t7))))),bind(Z0,$fot(or(t7,not(carry))))]]) ).
cnf(refute_0_8028,plain,
( not(and(carry,not(t7))) != or(t7,not(carry))
| not(and(carry,and(cin,t5))) = or(t7,not(carry)) ),
inference(resolve,[$cnf( $equal(not(and(carry,and(cin,t5))),not(and(carry,not(t7)))) )],[refute_0_8026,refute_0_8027]) ).
cnf(refute_0_8029,plain,
not(and(carry,and(cin,t5))) = or(t7,not(carry)),
inference(resolve,[$cnf( $equal(not(and(carry,not(t7))),or(t7,not(carry))) )],[refute_0_7986,refute_0_8028]) ).
cnf(refute_0_8030,plain,
not(and(and(X_206,X_205),Y)) = or(not(and(X_206,X_205)),not(Y)),
inference(subst,[],[and_demorgan:[bind(X,$fot(and(X_206,X_205)))]]) ).
cnf(refute_0_8031,plain,
( not(and(X_206,X_205)) != not(and(X_205,X_206))
| not(and(and(X_206,X_205),Y)) != or(not(and(X_206,X_205)),not(Y))
| not(and(and(X_206,X_205),Y)) = or(not(and(X_205,X_206)),not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(X_206,X_205),Y)),or(not(and(X_206,X_205)),not(Y))) ),[1,0],$fot(not(and(X_205,X_206)))]]) ).
cnf(refute_0_8032,plain,
( not(and(and(X_206,X_205),Y)) != or(not(and(X_206,X_205)),not(Y))
| not(and(and(X_206,X_205),Y)) = or(not(and(X_205,X_206)),not(Y)) ),
inference(resolve,[$cnf( $equal(not(and(X_206,X_205)),not(and(X_205,X_206))) )],[refute_0_4066,refute_0_8031]) ).
cnf(refute_0_8033,plain,
not(and(and(X_206,X_205),Y)) = or(not(and(X_205,X_206)),not(Y)),
inference(resolve,[$cnf( $equal(not(and(and(X_206,X_205),Y)),or(not(and(X_206,X_205)),not(Y))) )],[refute_0_8030,refute_0_8032]) ).
cnf(refute_0_8034,plain,
and(and(X_206,X_205),Y) = and(X_206,and(X_205,Y)),
inference(subst,[],[and_associative:[bind(X,$fot(X_206)),bind(Y,$fot(X_205)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_8035,plain,
not(and(and(X_206,X_205),Y)) = not(and(and(X_206,X_205),Y)),
introduced(tautology,[refl,[$fot(not(and(and(X_206,X_205),Y)))]]) ).
cnf(refute_0_8036,plain,
( and(and(X_206,X_205),Y) != and(X_206,and(X_205,Y))
| not(and(and(X_206,X_205),Y)) != not(and(and(X_206,X_205),Y))
| not(and(and(X_206,X_205),Y)) = not(and(X_206,and(X_205,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(X_206,X_205),Y)),not(and(and(X_206,X_205),Y))) ),[1,0],$fot(and(X_206,and(X_205,Y)))]]) ).
cnf(refute_0_8037,plain,
( and(and(X_206,X_205),Y) != and(X_206,and(X_205,Y))
| not(and(and(X_206,X_205),Y)) = not(and(X_206,and(X_205,Y))) ),
inference(resolve,[$cnf( $equal(not(and(and(X_206,X_205),Y)),not(and(and(X_206,X_205),Y))) )],[refute_0_8035,refute_0_8036]) ).
cnf(refute_0_8038,plain,
not(and(and(X_206,X_205),Y)) = not(and(X_206,and(X_205,Y))),
inference(resolve,[$cnf( $equal(and(and(X_206,X_205),Y),and(X_206,and(X_205,Y))) )],[refute_0_8034,refute_0_8037]) ).
cnf(refute_0_8039,plain,
( not(and(and(X_206,X_205),Y)) != not(and(X_206,and(X_205,Y)))
| not(and(and(X_206,X_205),Y)) != or(not(and(X_205,X_206)),not(Y))
| not(and(X_206,and(X_205,Y))) = or(not(and(X_205,X_206)),not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(X_206,X_205),Y)),or(not(and(X_205,X_206)),not(Y))) ),[0],$fot(not(and(X_206,and(X_205,Y))))]]) ).
cnf(refute_0_8040,plain,
( not(and(and(X_206,X_205),Y)) != or(not(and(X_205,X_206)),not(Y))
| not(and(X_206,and(X_205,Y))) = or(not(and(X_205,X_206)),not(Y)) ),
inference(resolve,[$cnf( $equal(not(and(and(X_206,X_205),Y)),not(and(X_206,and(X_205,Y)))) )],[refute_0_8038,refute_0_8039]) ).
cnf(refute_0_8041,plain,
and(and(X_205,X_206),Y) = and(X_205,and(X_206,Y)),
inference(subst,[],[and_associative:[bind(X,$fot(X_205)),bind(Y,$fot(X_206)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_8042,plain,
not(and(and(X_205,X_206),Y)) = not(and(and(X_205,X_206),Y)),
introduced(tautology,[refl,[$fot(not(and(and(X_205,X_206),Y)))]]) ).
cnf(refute_0_8043,plain,
( and(and(X_205,X_206),Y) != and(X_205,and(X_206,Y))
| not(and(and(X_205,X_206),Y)) != not(and(and(X_205,X_206),Y))
| not(and(and(X_205,X_206),Y)) = not(and(X_205,and(X_206,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(X_205,X_206),Y)),not(and(and(X_205,X_206),Y))) ),[1,0],$fot(and(X_205,and(X_206,Y)))]]) ).
cnf(refute_0_8044,plain,
( and(and(X_205,X_206),Y) != and(X_205,and(X_206,Y))
| not(and(and(X_205,X_206),Y)) = not(and(X_205,and(X_206,Y))) ),
inference(resolve,[$cnf( $equal(not(and(and(X_205,X_206),Y)),not(and(and(X_205,X_206),Y))) )],[refute_0_8042,refute_0_8043]) ).
cnf(refute_0_8045,plain,
not(and(and(X_205,X_206),Y)) = not(and(X_205,and(X_206,Y))),
inference(resolve,[$cnf( $equal(and(and(X_205,X_206),Y),and(X_205,and(X_206,Y))) )],[refute_0_8041,refute_0_8044]) ).
cnf(refute_0_8046,plain,
or(not(and(X_205,X_206)),not(Y)) = not(and(and(X_205,X_206),Y)),
inference(subst,[],[refute_0_147:[bind(X,$fot(and(X_205,X_206)))]]) ).
cnf(refute_0_8047,plain,
( not(and(and(X_205,X_206),Y)) != not(and(X_205,and(X_206,Y)))
| or(not(and(X_205,X_206)),not(Y)) != not(and(and(X_205,X_206),Y))
| or(not(and(X_205,X_206)),not(Y)) = not(and(X_205,and(X_206,Y))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(and(X_205,X_206)),not(Y)))),bind(Y0,$fot(not(and(and(X_205,X_206),Y)))),bind(Z0,$fot(not(and(X_205,and(X_206,Y)))))]]) ).
cnf(refute_0_8048,plain,
( not(and(and(X_205,X_206),Y)) != not(and(X_205,and(X_206,Y)))
| or(not(and(X_205,X_206)),not(Y)) = not(and(X_205,and(X_206,Y))) ),
inference(resolve,[$cnf( $equal(or(not(and(X_205,X_206)),not(Y)),not(and(and(X_205,X_206),Y))) )],[refute_0_8046,refute_0_8047]) ).
cnf(refute_0_8049,plain,
or(not(and(X_205,X_206)),not(Y)) = not(and(X_205,and(X_206,Y))),
inference(resolve,[$cnf( $equal(not(and(and(X_205,X_206),Y)),not(and(X_205,and(X_206,Y)))) )],[refute_0_8045,refute_0_8048]) ).
cnf(refute_0_8050,plain,
( not(and(X_206,and(X_205,Y))) != or(not(and(X_205,X_206)),not(Y))
| or(not(and(X_205,X_206)),not(Y)) != not(and(X_205,and(X_206,Y)))
| not(and(X_206,and(X_205,Y))) = not(and(X_205,and(X_206,Y))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(X_206,and(X_205,Y))),not(and(X_205,and(X_206,Y)))) ),[0],$fot(or(not(and(X_205,X_206)),not(Y)))]]) ).
cnf(refute_0_8051,plain,
( not(and(X_206,and(X_205,Y))) != or(not(and(X_205,X_206)),not(Y))
| not(and(X_206,and(X_205,Y))) = not(and(X_205,and(X_206,Y))) ),
inference(resolve,[$cnf( $equal(or(not(and(X_205,X_206)),not(Y)),not(and(X_205,and(X_206,Y)))) )],[refute_0_8049,refute_0_8050]) ).
cnf(refute_0_8052,plain,
( not(and(and(X_206,X_205),Y)) != or(not(and(X_205,X_206)),not(Y))
| not(and(X_206,and(X_205,Y))) = not(and(X_205,and(X_206,Y))) ),
inference(resolve,[$cnf( $equal(not(and(X_206,and(X_205,Y))),or(not(and(X_205,X_206)),not(Y))) )],[refute_0_8040,refute_0_8051]) ).
cnf(refute_0_8053,plain,
not(and(X_206,and(X_205,Y))) = not(and(X_205,and(X_206,Y))),
inference(resolve,[$cnf( $equal(not(and(and(X_206,X_205),Y)),or(not(and(X_205,X_206)),not(Y))) )],[refute_0_8033,refute_0_8052]) ).
cnf(refute_0_8054,plain,
( not(and(X_206,and(X_205,Y))) != not(and(X_205,and(X_206,Y)))
| not(and(X_205,and(X_206,Y))) = not(and(X_206,and(X_205,Y))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(X_206,and(X_205,Y))))),bind(Y0,$fot(not(and(X_205,and(X_206,Y)))))]]) ).
cnf(refute_0_8055,plain,
not(and(X_205,and(X_206,Y))) = not(and(X_206,and(X_205,Y))),
inference(resolve,[$cnf( $equal(not(and(X_206,and(X_205,Y))),not(and(X_205,and(X_206,Y)))) )],[refute_0_8053,refute_0_8054]) ).
cnf(refute_0_8056,plain,
not(and(cin,and(carry,t5))) = not(and(carry,and(cin,t5))),
inference(subst,[],[refute_0_8055:[bind(Y,$fot(t5)),bind(X_205,$fot(cin)),bind(X_206,$fot(carry))]]) ).
cnf(refute_0_8057,plain,
not(and(X,and(carry,t5))) = or(not(X),not(and(carry,t5))),
inference(subst,[],[and_demorgan:[bind(Y,$fot(and(carry,t5)))]]) ).
cnf(refute_0_8058,plain,
( not(and(X,and(carry,t5))) != or(not(X),not(and(carry,t5)))
| not(and(carry,t5)) != xor(carry,t5)
| not(and(X,and(carry,t5))) = or(not(X),xor(carry,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X,and(carry,t5))),or(not(X),not(and(carry,t5)))) ),[1,1],$fot(xor(carry,t5))]]) ).
cnf(refute_0_8059,plain,
( not(and(X,and(carry,t5))) != or(not(X),not(and(carry,t5)))
| not(and(X,and(carry,t5))) = or(not(X),xor(carry,t5)) ),
inference(resolve,[$cnf( $equal(not(and(carry,t5)),xor(carry,t5)) )],[refute_0_8012,refute_0_8058]) ).
cnf(refute_0_8060,plain,
not(and(X,and(carry,t5))) = or(not(X),xor(carry,t5)),
inference(resolve,[$cnf( $equal(not(and(X,and(carry,t5))),or(not(X),not(and(carry,t5)))) )],[refute_0_8057,refute_0_8059]) ).
cnf(refute_0_8061,plain,
( not(and(X,and(carry,t5))) != or(not(X),xor(carry,t5))
| or(not(X),xor(carry,t5)) = not(and(X,and(carry,t5))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(X,and(carry,t5))))),bind(Y0,$fot(or(not(X),xor(carry,t5))))]]) ).
cnf(refute_0_8062,plain,
or(not(X),xor(carry,t5)) = not(and(X,and(carry,t5))),
inference(resolve,[$cnf( $equal(not(and(X,and(carry,t5))),or(not(X),xor(carry,t5))) )],[refute_0_8060,refute_0_8061]) ).
cnf(refute_0_8063,plain,
or(not(cin),xor(carry,t5)) = not(and(cin,and(carry,t5))),
inference(subst,[],[refute_0_8062:[bind(X,$fot(cin))]]) ).
cnf(refute_0_8064,plain,
( not(and(cin,and(carry,t5))) != not(and(carry,and(cin,t5)))
| or(not(cin),xor(carry,t5)) != not(and(cin,and(carry,t5)))
| or(not(cin),xor(carry,t5)) = not(and(carry,and(cin,t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(cin),xor(carry,t5)))),bind(Y0,$fot(not(and(cin,and(carry,t5))))),bind(Z0,$fot(not(and(carry,and(cin,t5)))))]]) ).
cnf(refute_0_8065,plain,
( not(and(cin,and(carry,t5))) != not(and(carry,and(cin,t5)))
| or(not(cin),xor(carry,t5)) = not(and(carry,and(cin,t5))) ),
inference(resolve,[$cnf( $equal(or(not(cin),xor(carry,t5)),not(and(cin,and(carry,t5)))) )],[refute_0_8063,refute_0_8064]) ).
cnf(refute_0_8066,plain,
or(not(cin),xor(carry,t5)) = not(and(carry,and(cin,t5))),
inference(resolve,[$cnf( $equal(not(and(cin,and(carry,t5))),not(and(carry,and(cin,t5)))) )],[refute_0_8056,refute_0_8065]) ).
cnf(refute_0_8067,plain,
( not(and(carry,and(cin,t5))) != or(t7,not(carry))
| or(not(cin),xor(carry,t5)) != not(and(carry,and(cin,t5)))
| or(not(cin),xor(carry,t5)) = or(t7,not(carry)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(cin),xor(carry,t5)))),bind(Y0,$fot(not(and(carry,and(cin,t5))))),bind(Z0,$fot(or(t7,not(carry))))]]) ).
cnf(refute_0_8068,plain,
( not(and(carry,and(cin,t5))) != or(t7,not(carry))
| or(not(cin),xor(carry,t5)) = or(t7,not(carry)) ),
inference(resolve,[$cnf( $equal(or(not(cin),xor(carry,t5)),not(and(carry,and(cin,t5)))) )],[refute_0_8066,refute_0_8067]) ).
cnf(refute_0_8069,plain,
or(not(cin),xor(carry,t5)) = or(t7,not(carry)),
inference(resolve,[$cnf( $equal(not(and(carry,and(cin,t5))),or(t7,not(carry))) )],[refute_0_8029,refute_0_8068]) ).
cnf(refute_0_8070,plain,
and(t6,or(not(cin),xor(carry,t5))) = and(t6,or(not(cin),xor(carry,t5))),
introduced(tautology,[refl,[$fot(and(t6,or(not(cin),xor(carry,t5))))]]) ).
cnf(refute_0_8071,plain,
( and(t6,or(not(cin),xor(carry,t5))) != and(t6,or(not(cin),xor(carry,t5)))
| or(not(cin),xor(carry,t5)) != or(t7,not(carry))
| and(t6,or(not(cin),xor(carry,t5))) = and(t6,or(t7,not(carry))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(not(cin),xor(carry,t5))),and(t6,or(not(cin),xor(carry,t5)))) ),[1,1],$fot(or(t7,not(carry)))]]) ).
cnf(refute_0_8072,plain,
( or(not(cin),xor(carry,t5)) != or(t7,not(carry))
| and(t6,or(not(cin),xor(carry,t5))) = and(t6,or(t7,not(carry))) ),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(carry,t5))),and(t6,or(not(cin),xor(carry,t5)))) )],[refute_0_8070,refute_0_8071]) ).
cnf(refute_0_8073,plain,
and(t6,or(not(cin),xor(carry,t5))) = and(t6,or(t7,not(carry))),
inference(resolve,[$cnf( $equal(or(not(cin),xor(carry,t5)),or(t7,not(carry))) )],[refute_0_8069,refute_0_8072]) ).
cnf(refute_0_8074,plain,
and(t6,or(X_209,not(cin))) = xor(t6,and(cin,not(X_209))),
inference(subst,[],[refute_0_7533:[bind(X,$fot(X_209))]]) ).
cnf(refute_0_8075,plain,
or(not(cin),X_209) = or(X_209,not(cin)),
inference(subst,[],[or_commutative:[bind(X,$fot(not(cin))),bind(Y,$fot(X_209))]]) ).
cnf(refute_0_8076,plain,
( or(not(cin),X_209) != or(X_209,not(cin))
| or(X_209,not(cin)) = or(not(cin),X_209) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(not(cin),X_209))),bind(Y0,$fot(or(X_209,not(cin))))]]) ).
cnf(refute_0_8077,plain,
or(X_209,not(cin)) = or(not(cin),X_209),
inference(resolve,[$cnf( $equal(or(not(cin),X_209),or(X_209,not(cin))) )],[refute_0_8075,refute_0_8076]) ).
cnf(refute_0_8078,plain,
( and(t6,or(X_209,not(cin))) != xor(t6,and(cin,not(X_209)))
| or(X_209,not(cin)) != or(not(cin),X_209)
| and(t6,or(not(cin),X_209)) = xor(t6,and(cin,not(X_209))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(X_209,not(cin))),xor(t6,and(cin,not(X_209)))) ),[0,1],$fot(or(not(cin),X_209))]]) ).
cnf(refute_0_8079,plain,
( and(t6,or(X_209,not(cin))) != xor(t6,and(cin,not(X_209)))
| and(t6,or(not(cin),X_209)) = xor(t6,and(cin,not(X_209))) ),
inference(resolve,[$cnf( $equal(or(X_209,not(cin)),or(not(cin),X_209)) )],[refute_0_8077,refute_0_8078]) ).
cnf(refute_0_8080,plain,
and(t6,or(not(cin),X_209)) = xor(t6,and(cin,not(X_209))),
inference(resolve,[$cnf( $equal(and(t6,or(X_209,not(cin))),xor(t6,and(cin,not(X_209)))) )],[refute_0_8074,refute_0_8079]) ).
cnf(refute_0_8081,plain,
xor(t6,and(cin,not(X_209))) = and(t6,or(X_209,not(cin))),
inference(subst,[],[refute_0_7535:[bind(X,$fot(X_209))]]) ).
cnf(refute_0_8082,plain,
( and(t6,or(not(cin),X_209)) != xor(t6,and(cin,not(X_209)))
| xor(t6,and(cin,not(X_209))) != and(t6,or(X_209,not(cin)))
| and(t6,or(not(cin),X_209)) = and(t6,or(X_209,not(cin))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,or(not(cin),X_209)),and(t6,or(X_209,not(cin)))) ),[0],$fot(xor(t6,and(cin,not(X_209))))]]) ).
cnf(refute_0_8083,plain,
( and(t6,or(not(cin),X_209)) != xor(t6,and(cin,not(X_209)))
| and(t6,or(not(cin),X_209)) = and(t6,or(X_209,not(cin))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,not(X_209))),and(t6,or(X_209,not(cin)))) )],[refute_0_8081,refute_0_8082]) ).
cnf(refute_0_8084,plain,
and(t6,or(not(cin),X_209)) = and(t6,or(X_209,not(cin))),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),X_209)),xor(t6,and(cin,not(X_209)))) )],[refute_0_8080,refute_0_8083]) ).
cnf(refute_0_8085,plain,
( and(t6,or(not(cin),X_209)) != and(t6,or(X_209,not(cin)))
| and(t6,or(X_209,not(cin))) = and(t6,or(not(cin),X_209)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t6,or(not(cin),X_209)))),bind(Y0,$fot(and(t6,or(X_209,not(cin)))))]]) ).
cnf(refute_0_8086,plain,
and(t6,or(X_209,not(cin))) = and(t6,or(not(cin),X_209)),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),X_209)),and(t6,or(X_209,not(cin)))) )],[refute_0_8084,refute_0_8085]) ).
cnf(refute_0_8087,plain,
and(t6,or(xor(carry,t5),not(cin))) = and(t6,or(not(cin),xor(carry,t5))),
inference(subst,[],[refute_0_8086:[bind(X_209,$fot(xor(carry,t5)))]]) ).
cnf(refute_0_8088,plain,
( and(t6,or(not(cin),xor(carry,t5))) != and(t6,or(t7,not(carry)))
| and(t6,or(xor(carry,t5),not(cin))) != and(t6,or(not(cin),xor(carry,t5)))
| and(t6,or(xor(carry,t5),not(cin))) = and(t6,or(t7,not(carry))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t6,or(xor(carry,t5),not(cin))))),bind(Y0,$fot(and(t6,or(not(cin),xor(carry,t5))))),bind(Z0,$fot(and(t6,or(t7,not(carry)))))]]) ).
cnf(refute_0_8089,plain,
( and(t6,or(not(cin),xor(carry,t5))) != and(t6,or(t7,not(carry)))
| and(t6,or(xor(carry,t5),not(cin))) = and(t6,or(t7,not(carry))) ),
inference(resolve,[$cnf( $equal(and(t6,or(xor(carry,t5),not(cin))),and(t6,or(not(cin),xor(carry,t5)))) )],[refute_0_8087,refute_0_8088]) ).
cnf(refute_0_8090,plain,
and(t6,or(xor(carry,t5),not(cin))) = and(t6,or(t7,not(carry))),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(carry,t5))),and(t6,or(t7,not(carry)))) )],[refute_0_8073,refute_0_8089]) ).
cnf(refute_0_8091,plain,
( and(t6,or(xor(carry,t5),not(cin))) != and(t6,or(t7,not(carry)))
| and(t6,or(xor(carry,t5),not(cin))) != xor(t6,and(cin,and(carry,t5)))
| and(t6,or(t7,not(carry))) = xor(t6,and(cin,and(carry,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(xor(carry,t5),not(cin))),xor(t6,and(cin,and(carry,t5)))) ),[0],$fot(and(t6,or(t7,not(carry))))]]) ).
cnf(refute_0_8092,plain,
( and(t6,or(xor(carry,t5),not(cin))) != xor(t6,and(cin,and(carry,t5)))
| and(t6,or(t7,not(carry))) = xor(t6,and(cin,and(carry,t5))) ),
inference(resolve,[$cnf( $equal(and(t6,or(xor(carry,t5),not(cin))),and(t6,or(t7,not(carry)))) )],[refute_0_8090,refute_0_8091]) ).
cnf(refute_0_8093,plain,
and(t6,or(t7,not(carry))) = xor(t6,and(cin,and(carry,t5))),
inference(resolve,[$cnf( $equal(and(t6,or(xor(carry,t5),not(cin))),xor(t6,and(cin,and(carry,t5)))) )],[refute_0_8018,refute_0_8092]) ).
cnf(refute_0_8094,plain,
and(carry,and(t5,cin)) = and(carry,and(cin,t5)),
inference(subst,[],[refute_0_2637:[bind(X_220,$fot(carry)),bind(X_221,$fot(cin)),bind(X_222,$fot(t5))]]) ).
cnf(refute_0_8095,plain,
( and(carry,and(cin,t5)) != and(carry,not(t7))
| and(carry,and(t5,cin)) != and(carry,and(cin,t5))
| and(carry,and(t5,cin)) = and(carry,not(t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(carry,and(t5,cin)))),bind(Y0,$fot(and(carry,and(cin,t5)))),bind(Z0,$fot(and(carry,not(t7))))]]) ).
cnf(refute_0_8096,plain,
( and(carry,and(cin,t5)) != and(carry,not(t7))
| and(carry,and(t5,cin)) = and(carry,not(t7)) ),
inference(resolve,[$cnf( $equal(and(carry,and(t5,cin)),and(carry,and(cin,t5))) )],[refute_0_8094,refute_0_8095]) ).
cnf(refute_0_8097,plain,
and(carry,and(t5,cin)) = and(carry,not(t7)),
inference(resolve,[$cnf( $equal(and(carry,and(cin,t5)),and(carry,not(t7))) )],[refute_0_8022,refute_0_8096]) ).
cnf(refute_0_8098,plain,
xor(t6,and(carry,and(t5,cin))) = xor(t6,and(carry,and(t5,cin))),
introduced(tautology,[refl,[$fot(xor(t6,and(carry,and(t5,cin))))]]) ).
cnf(refute_0_8099,plain,
( and(carry,and(t5,cin)) != and(carry,not(t7))
| xor(t6,and(carry,and(t5,cin))) != xor(t6,and(carry,and(t5,cin)))
| xor(t6,and(carry,and(t5,cin))) = xor(t6,and(carry,not(t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,and(carry,and(t5,cin))),xor(t6,and(carry,and(t5,cin)))) ),[1,1],$fot(and(carry,not(t7)))]]) ).
cnf(refute_0_8100,plain,
( and(carry,and(t5,cin)) != and(carry,not(t7))
| xor(t6,and(carry,and(t5,cin))) = xor(t6,and(carry,not(t7))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(carry,and(t5,cin))),xor(t6,and(carry,and(t5,cin)))) )],[refute_0_8098,refute_0_8099]) ).
cnf(refute_0_8101,plain,
xor(t6,and(carry,and(t5,cin))) = xor(t6,and(carry,not(t7))),
inference(resolve,[$cnf( $equal(and(carry,and(t5,cin)),and(carry,not(t7))) )],[refute_0_8097,refute_0_8100]) ).
cnf(refute_0_8102,plain,
and(t6,not(and(and(X_220,X_221),cin))) = xor(t6,and(and(X_220,X_221),cin)),
inference(subst,[],[refute_0_2332:[bind(X_60,$fot(and(X_220,X_221)))]]) ).
cnf(refute_0_8103,plain,
and(and(X_220,X_221),cin) = and(X_220,and(X_221,cin)),
inference(subst,[],[and_associative:[bind(X,$fot(X_220)),bind(Y,$fot(X_221)),bind(Z,$fot(cin))]]) ).
cnf(refute_0_8104,plain,
( and(and(X_220,X_221),cin) != and(X_220,and(X_221,cin))
| and(t6,not(and(and(X_220,X_221),cin))) != xor(t6,and(and(X_220,X_221),cin))
| and(t6,not(and(and(X_220,X_221),cin))) = xor(t6,and(X_220,and(X_221,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(and(and(X_220,X_221),cin))),xor(t6,and(and(X_220,X_221),cin))) ),[1,1],$fot(and(X_220,and(X_221,cin)))]]) ).
cnf(refute_0_8105,plain,
( and(t6,not(and(and(X_220,X_221),cin))) != xor(t6,and(and(X_220,X_221),cin))
| and(t6,not(and(and(X_220,X_221),cin))) = xor(t6,and(X_220,and(X_221,cin))) ),
inference(resolve,[$cnf( $equal(and(and(X_220,X_221),cin),and(X_220,and(X_221,cin))) )],[refute_0_8103,refute_0_8104]) ).
cnf(refute_0_8106,plain,
and(t6,not(and(and(X_220,X_221),cin))) = xor(t6,and(X_220,and(X_221,cin))),
inference(resolve,[$cnf( $equal(and(t6,not(and(and(X_220,X_221),cin))),xor(t6,and(and(X_220,X_221),cin))) )],[refute_0_8102,refute_0_8105]) ).
cnf(refute_0_8107,plain,
and(t6,not(and(cin,and(X_220,X_221)))) = xor(t6,and(cin,and(X_220,X_221))),
inference(subst,[],[refute_0_1092:[bind(X_55,$fot(and(X_220,X_221)))]]) ).
cnf(refute_0_8108,plain,
not(or(not(X),and(X_206,X_205))) = and(X,not(and(X_206,X_205))),
inference(subst,[],[refute_0_159:[bind(X_26,$fot(and(X_206,X_205)))]]) ).
cnf(refute_0_8109,plain,
( not(and(X_206,X_205)) != not(and(X_205,X_206))
| not(or(not(X),and(X_206,X_205))) != and(X,not(and(X_206,X_205)))
| not(or(not(X),and(X_206,X_205))) = and(X,not(and(X_205,X_206))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(X),and(X_206,X_205))),and(X,not(and(X_206,X_205)))) ),[1,1],$fot(not(and(X_205,X_206)))]]) ).
cnf(refute_0_8110,plain,
( not(or(not(X),and(X_206,X_205))) != and(X,not(and(X_206,X_205)))
| not(or(not(X),and(X_206,X_205))) = and(X,not(and(X_205,X_206))) ),
inference(resolve,[$cnf( $equal(not(and(X_206,X_205)),not(and(X_205,X_206))) )],[refute_0_4066,refute_0_8109]) ).
cnf(refute_0_8111,plain,
not(or(not(X),and(X_206,X_205))) = and(X,not(and(X_205,X_206))),
inference(resolve,[$cnf( $equal(not(or(not(X),and(X_206,X_205))),and(X,not(and(X_206,X_205)))) )],[refute_0_8108,refute_0_8110]) ).
cnf(refute_0_8112,plain,
( not(or(not(X),and(X_206,X_205))) != and(X,not(and(X_205,X_206)))
| not(or(not(X),and(X_206,X_205))) != and(X,not(and(X_206,X_205)))
| and(X,not(and(X_206,X_205))) = and(X,not(and(X_205,X_206))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(X),and(X_206,X_205))),and(X,not(and(X_205,X_206)))) ),[0],$fot(and(X,not(and(X_206,X_205))))]]) ).
cnf(refute_0_8113,plain,
( not(or(not(X),and(X_206,X_205))) != and(X,not(and(X_205,X_206)))
| and(X,not(and(X_206,X_205))) = and(X,not(and(X_205,X_206))) ),
inference(resolve,[$cnf( $equal(not(or(not(X),and(X_206,X_205))),and(X,not(and(X_206,X_205)))) )],[refute_0_8108,refute_0_8112]) ).
cnf(refute_0_8114,plain,
and(X,not(and(X_206,X_205))) = and(X,not(and(X_205,X_206))),
inference(resolve,[$cnf( $equal(not(or(not(X),and(X_206,X_205))),and(X,not(and(X_205,X_206)))) )],[refute_0_8111,refute_0_8113]) ).
cnf(refute_0_8115,plain,
( and(X,not(and(X_206,X_205))) != and(X,not(and(X_205,X_206)))
| and(X,not(and(X_205,X_206))) = and(X,not(and(X_206,X_205))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X,not(and(X_206,X_205))))),bind(Y0,$fot(and(X,not(and(X_205,X_206)))))]]) ).
cnf(refute_0_8116,plain,
and(X,not(and(X_205,X_206))) = and(X,not(and(X_206,X_205))),
inference(resolve,[$cnf( $equal(and(X,not(and(X_206,X_205))),and(X,not(and(X_205,X_206)))) )],[refute_0_8114,refute_0_8115]) ).
cnf(refute_0_8117,plain,
and(t6,not(and(and(X_220,X_221),cin))) = and(t6,not(and(cin,and(X_220,X_221)))),
inference(subst,[],[refute_0_8116:[bind(X,$fot(t6)),bind(X_205,$fot(and(X_220,X_221))),bind(X_206,$fot(cin))]]) ).
cnf(refute_0_8118,plain,
( and(t6,not(and(and(X_220,X_221),cin))) != and(t6,not(and(cin,and(X_220,X_221))))
| and(t6,not(and(cin,and(X_220,X_221)))) != xor(t6,and(cin,and(X_220,X_221)))
| and(t6,not(and(and(X_220,X_221),cin))) = xor(t6,and(cin,and(X_220,X_221))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t6,not(and(and(X_220,X_221),cin))))),bind(Y0,$fot(and(t6,not(and(cin,and(X_220,X_221)))))),bind(Z0,$fot(xor(t6,and(cin,and(X_220,X_221)))))]]) ).
cnf(refute_0_8119,plain,
( and(t6,not(and(cin,and(X_220,X_221)))) != xor(t6,and(cin,and(X_220,X_221)))
| and(t6,not(and(and(X_220,X_221),cin))) = xor(t6,and(cin,and(X_220,X_221))) ),
inference(resolve,[$cnf( $equal(and(t6,not(and(and(X_220,X_221),cin))),and(t6,not(and(cin,and(X_220,X_221))))) )],[refute_0_8117,refute_0_8118]) ).
cnf(refute_0_8120,plain,
and(t6,not(and(and(X_220,X_221),cin))) = xor(t6,and(cin,and(X_220,X_221))),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,and(X_220,X_221)))),xor(t6,and(cin,and(X_220,X_221)))) )],[refute_0_8107,refute_0_8119]) ).
cnf(refute_0_8121,plain,
( and(t6,not(and(and(X_220,X_221),cin))) != xor(t6,and(X_220,and(X_221,cin)))
| and(t6,not(and(and(X_220,X_221),cin))) != xor(t6,and(cin,and(X_220,X_221)))
| xor(t6,and(cin,and(X_220,X_221))) = xor(t6,and(X_220,and(X_221,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(and(and(X_220,X_221),cin))),xor(t6,and(X_220,and(X_221,cin)))) ),[0],$fot(xor(t6,and(cin,and(X_220,X_221))))]]) ).
cnf(refute_0_8122,plain,
( and(t6,not(and(and(X_220,X_221),cin))) != xor(t6,and(X_220,and(X_221,cin)))
| xor(t6,and(cin,and(X_220,X_221))) = xor(t6,and(X_220,and(X_221,cin))) ),
inference(resolve,[$cnf( $equal(and(t6,not(and(and(X_220,X_221),cin))),xor(t6,and(cin,and(X_220,X_221)))) )],[refute_0_8120,refute_0_8121]) ).
cnf(refute_0_8123,plain,
xor(t6,and(cin,and(X_220,X_221))) = xor(t6,and(X_220,and(X_221,cin))),
inference(resolve,[$cnf( $equal(and(t6,not(and(and(X_220,X_221),cin))),xor(t6,and(X_220,and(X_221,cin)))) )],[refute_0_8106,refute_0_8122]) ).
cnf(refute_0_8124,plain,
xor(t6,and(cin,and(carry,t5))) = xor(t6,and(carry,and(t5,cin))),
inference(subst,[],[refute_0_8123:[bind(X_220,$fot(carry)),bind(X_221,$fot(t5))]]) ).
cnf(refute_0_8125,plain,
( xor(t6,and(carry,and(t5,cin))) != xor(t6,and(carry,not(t7)))
| xor(t6,and(cin,and(carry,t5))) != xor(t6,and(carry,and(t5,cin)))
| xor(t6,and(cin,and(carry,t5))) = xor(t6,and(carry,not(t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,and(cin,and(carry,t5))))),bind(Y0,$fot(xor(t6,and(carry,and(t5,cin))))),bind(Z0,$fot(xor(t6,and(carry,not(t7)))))]]) ).
cnf(refute_0_8126,plain,
( xor(t6,and(carry,and(t5,cin))) != xor(t6,and(carry,not(t7)))
| xor(t6,and(cin,and(carry,t5))) = xor(t6,and(carry,not(t7))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,and(carry,t5))),xor(t6,and(carry,and(t5,cin)))) )],[refute_0_8124,refute_0_8125]) ).
cnf(refute_0_8127,plain,
xor(t6,and(cin,and(carry,t5))) = xor(t6,and(carry,not(t7))),
inference(resolve,[$cnf( $equal(xor(t6,and(carry,and(t5,cin))),xor(t6,and(carry,not(t7)))) )],[refute_0_8101,refute_0_8126]) ).
cnf(refute_0_8128,plain,
( and(t6,or(t7,not(carry))) != xor(t6,and(cin,and(carry,t5)))
| xor(t6,and(cin,and(carry,t5))) != xor(t6,and(carry,not(t7)))
| and(t6,or(t7,not(carry))) = xor(t6,and(carry,not(t7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,or(t7,not(carry))),xor(t6,and(carry,not(t7)))) ),[0],$fot(xor(t6,and(cin,and(carry,t5))))]]) ).
cnf(refute_0_8129,plain,
( and(t6,or(t7,not(carry))) != xor(t6,and(cin,and(carry,t5)))
| and(t6,or(t7,not(carry))) = xor(t6,and(carry,not(t7))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,and(carry,t5))),xor(t6,and(carry,not(t7)))) )],[refute_0_8127,refute_0_8128]) ).
cnf(refute_0_8130,plain,
and(t6,or(t7,not(carry))) = xor(t6,and(carry,not(t7))),
inference(resolve,[$cnf( $equal(and(t6,or(t7,not(carry))),xor(t6,and(cin,and(carry,t5)))) )],[refute_0_8093,refute_0_8129]) ).
cnf(refute_0_8131,plain,
( and(t6,or(t7,not(carry))) != xor(t6,and(carry,not(t7)))
| xor(t6,and(carry,not(t7))) = and(t6,or(t7,not(carry))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t6,or(t7,not(carry))))),bind(Y0,$fot(xor(t6,and(carry,not(t7)))))]]) ).
cnf(refute_0_8132,plain,
xor(t6,and(carry,not(t7))) = and(t6,or(t7,not(carry))),
inference(resolve,[$cnf( $equal(and(t6,or(t7,not(carry))),xor(t6,and(carry,not(t7)))) )],[refute_0_8130,refute_0_8131]) ).
cnf(refute_0_8133,plain,
( xor(t6,and(carry,not(t7))) != and(t6,or(t7,not(carry)))
| xor(t6,xor(t6,and(carry,not(t7)))) != and(carry,not(t7))
| xor(t6,and(t6,or(t7,not(carry)))) = and(carry,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,xor(t6,and(carry,not(t7)))),and(carry,not(t7))) ),[0,1],$fot(and(t6,or(t7,not(carry))))]]) ).
cnf(refute_0_8134,plain,
( xor(t6,xor(t6,and(carry,not(t7)))) != and(carry,not(t7))
| xor(t6,and(t6,or(t7,not(carry)))) = and(carry,not(t7)) ),
inference(resolve,[$cnf( $equal(xor(t6,and(carry,not(t7))),and(t6,or(t7,not(carry)))) )],[refute_0_8132,refute_0_8133]) ).
cnf(refute_0_8135,plain,
xor(t6,and(t6,or(t7,not(carry)))) = and(carry,not(t7)),
inference(resolve,[$cnf( $equal(xor(t6,xor(t6,and(carry,not(t7)))),and(carry,not(t7))) )],[refute_0_7987,refute_0_8134]) ).
cnf(refute_0_8136,plain,
xor(sum,xor(or(a,t7),t6)) = xor(t7,or(a,t7)),
inference(subst,[],[refute_0_6267:[bind(X_385,$fot(or(a,t7)))]]) ).
cnf(refute_0_8137,plain,
xor(t6,xor(sum,or(a,t7))) = xor(sum,xor(or(a,t7),t6)),
inference(subst,[],[refute_0_7460:[bind(X,$fot(sum)),bind(Y,$fot(or(a,t7)))]]) ).
cnf(refute_0_8138,plain,
( xor(sum,xor(or(a,t7),t6)) != xor(t7,or(a,t7))
| xor(t6,xor(sum,or(a,t7))) != xor(sum,xor(or(a,t7),t6))
| xor(t6,xor(sum,or(a,t7))) = xor(t7,or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,xor(sum,or(a,t7))))),bind(Y0,$fot(xor(sum,xor(or(a,t7),t6)))),bind(Z0,$fot(xor(t7,or(a,t7))))]]) ).
cnf(refute_0_8139,plain,
( xor(sum,xor(or(a,t7),t6)) != xor(t7,or(a,t7))
| xor(t6,xor(sum,or(a,t7))) = xor(t7,or(a,t7)) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(sum,or(a,t7))),xor(sum,xor(or(a,t7),t6))) )],[refute_0_8137,refute_0_8138]) ).
cnf(refute_0_8140,plain,
xor(t6,xor(sum,or(a,t7))) = xor(t7,or(a,t7)),
inference(resolve,[$cnf( $equal(xor(sum,xor(or(a,t7),t6)),xor(t7,or(a,t7))) )],[refute_0_8136,refute_0_8139]) ).
cnf(refute_0_8141,plain,
xor(sum,xor(sum,and(t6,or(t7,not(carry))))) = and(t6,or(t7,not(carry))),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(sum)),bind(X_335,$fot(and(t6,or(t7,not(carry)))))]]) ).
cnf(refute_0_8142,plain,
xor(sum,xor(t6,and(carry,not(t7)))) = xor(t7,and(carry,not(t7))),
inference(subst,[],[refute_0_5410:[bind(Z,$fot(and(carry,not(t7))))]]) ).
cnf(refute_0_8143,plain,
( xor(sum,xor(t6,and(carry,not(t7)))) != xor(t7,and(carry,not(t7)))
| xor(t6,and(carry,not(t7))) != and(t6,or(t7,not(carry)))
| xor(sum,and(t6,or(t7,not(carry)))) = xor(t7,and(carry,not(t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,xor(t6,and(carry,not(t7)))),xor(t7,and(carry,not(t7)))) ),[0,1],$fot(and(t6,or(t7,not(carry))))]]) ).
cnf(refute_0_8144,plain,
( xor(sum,xor(t6,and(carry,not(t7)))) != xor(t7,and(carry,not(t7)))
| xor(sum,and(t6,or(t7,not(carry)))) = xor(t7,and(carry,not(t7))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(carry,not(t7))),and(t6,or(t7,not(carry)))) )],[refute_0_8132,refute_0_8143]) ).
cnf(refute_0_8145,plain,
xor(sum,and(t6,or(t7,not(carry)))) = xor(t7,and(carry,not(t7))),
inference(resolve,[$cnf( $equal(xor(sum,xor(t6,and(carry,not(t7)))),xor(t7,and(carry,not(t7)))) )],[refute_0_8142,refute_0_8144]) ).
cnf(refute_0_8146,plain,
and(and(X,cin),and(sum,not(t4))) = and(X,and(cin,and(sum,not(t4)))),
inference(subst,[],[and_associative:[bind(Y,$fot(cin)),bind(Z,$fot(and(sum,not(t4))))]]) ).
cnf(refute_0_8147,plain,
not(or(not(and(cin,sum)),t4)) = not(or(t4,not(and(cin,sum)))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(t4)),bind(X_26,$fot(not(and(cin,sum))))]]) ).
cnf(refute_0_8148,plain,
or(or(t4,not(cin)),and(or(cin,t6),or(t4,not(cin)))) = or(t4,not(cin)),
inference(subst,[],[refute_0_222:[bind(X_13,$fot(or(t4,not(cin)))),bind(X_14,$fot(or(cin,t6)))]]) ).
cnf(refute_0_8149,plain,
( not(xor(cin,t4)) != and(or(cin,t6),or(t4,not(cin)))
| and(or(cin,t6),or(t4,not(cin))) = not(xor(cin,t4)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(xor(cin,t4)))),bind(Y0,$fot(and(or(cin,t6),or(t4,not(cin)))))]]) ).
cnf(refute_0_8150,plain,
and(or(cin,t6),or(t4,not(cin))) = not(xor(cin,t4)),
inference(resolve,[$cnf( $equal(not(xor(cin,t4)),and(or(cin,t6),or(t4,not(cin)))) )],[refute_0_5480,refute_0_8149]) ).
cnf(refute_0_8151,plain,
( and(or(cin,t6),or(t4,not(cin))) != not(xor(cin,t4))
| or(or(t4,not(cin)),and(or(cin,t6),or(t4,not(cin)))) != or(t4,not(cin))
| or(or(t4,not(cin)),not(xor(cin,t4))) = or(t4,not(cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t4,not(cin)),and(or(cin,t6),or(t4,not(cin)))),or(t4,not(cin))) ),[0,1],$fot(not(xor(cin,t4)))]]) ).
cnf(refute_0_8152,plain,
( or(or(t4,not(cin)),and(or(cin,t6),or(t4,not(cin)))) != or(t4,not(cin))
| or(or(t4,not(cin)),not(xor(cin,t4))) = or(t4,not(cin)) ),
inference(resolve,[$cnf( $equal(and(or(cin,t6),or(t4,not(cin))),not(xor(cin,t4))) )],[refute_0_8150,refute_0_8151]) ).
cnf(refute_0_8153,plain,
or(or(t4,not(cin)),not(xor(cin,t4))) = or(t4,not(cin)),
inference(resolve,[$cnf( $equal(or(or(t4,not(cin)),and(or(cin,t6),or(t4,not(cin)))),or(t4,not(cin))) )],[refute_0_8148,refute_0_8152]) ).
cnf(refute_0_8154,plain,
or(not(cin),not(xor(cin,t4))) = not(and(cin,xor(cin,t4))),
inference(subst,[],[refute_0_147:[bind(X,$fot(cin)),bind(Y,$fot(xor(cin,t4)))]]) ).
cnf(refute_0_8155,plain,
or(t4,or(not(cin),not(xor(cin,t4)))) = or(t4,or(not(cin),not(xor(cin,t4)))),
introduced(tautology,[refl,[$fot(or(t4,or(not(cin),not(xor(cin,t4)))))]]) ).
cnf(refute_0_8156,plain,
( or(not(cin),not(xor(cin,t4))) != not(and(cin,xor(cin,t4)))
| or(t4,or(not(cin),not(xor(cin,t4)))) != or(t4,or(not(cin),not(xor(cin,t4))))
| or(t4,or(not(cin),not(xor(cin,t4)))) = or(t4,not(and(cin,xor(cin,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,or(not(cin),not(xor(cin,t4)))),or(t4,or(not(cin),not(xor(cin,t4))))) ),[1,1],$fot(not(and(cin,xor(cin,t4))))]]) ).
cnf(refute_0_8157,plain,
( or(not(cin),not(xor(cin,t4))) != not(and(cin,xor(cin,t4)))
| or(t4,or(not(cin),not(xor(cin,t4)))) = or(t4,not(and(cin,xor(cin,t4)))) ),
inference(resolve,[$cnf( $equal(or(t4,or(not(cin),not(xor(cin,t4)))),or(t4,or(not(cin),not(xor(cin,t4))))) )],[refute_0_8155,refute_0_8156]) ).
cnf(refute_0_8158,plain,
or(t4,or(not(cin),not(xor(cin,t4)))) = or(t4,not(and(cin,xor(cin,t4)))),
inference(resolve,[$cnf( $equal(or(not(cin),not(xor(cin,t4))),not(and(cin,xor(cin,t4)))) )],[refute_0_8154,refute_0_8157]) ).
cnf(refute_0_8159,plain,
or(or(t4,not(cin)),not(xor(cin,t4))) = or(t4,or(not(cin),not(xor(cin,t4)))),
inference(subst,[],[or_associative:[bind(X,$fot(t4)),bind(Y,$fot(not(cin))),bind(Z,$fot(not(xor(cin,t4))))]]) ).
cnf(refute_0_8160,plain,
( or(or(t4,not(cin)),not(xor(cin,t4))) != or(t4,or(not(cin),not(xor(cin,t4))))
| or(t4,or(not(cin),not(xor(cin,t4)))) != or(t4,not(and(cin,xor(cin,t4))))
| or(or(t4,not(cin)),not(xor(cin,t4))) = or(t4,not(and(cin,xor(cin,t4)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(or(t4,not(cin)),not(xor(cin,t4))))),bind(Y0,$fot(or(t4,or(not(cin),not(xor(cin,t4)))))),bind(Z0,$fot(or(t4,not(and(cin,xor(cin,t4))))))]]) ).
cnf(refute_0_8161,plain,
( or(t4,or(not(cin),not(xor(cin,t4)))) != or(t4,not(and(cin,xor(cin,t4))))
| or(or(t4,not(cin)),not(xor(cin,t4))) = or(t4,not(and(cin,xor(cin,t4)))) ),
inference(resolve,[$cnf( $equal(or(or(t4,not(cin)),not(xor(cin,t4))),or(t4,or(not(cin),not(xor(cin,t4))))) )],[refute_0_8159,refute_0_8160]) ).
cnf(refute_0_8162,plain,
or(or(t4,not(cin)),not(xor(cin,t4))) = or(t4,not(and(cin,xor(cin,t4)))),
inference(resolve,[$cnf( $equal(or(t4,or(not(cin),not(xor(cin,t4)))),or(t4,not(and(cin,xor(cin,t4))))) )],[refute_0_8158,refute_0_8161]) ).
cnf(refute_0_8163,plain,
( or(or(t4,not(cin)),not(xor(cin,t4))) != or(t4,not(and(cin,xor(cin,t4))))
| or(or(t4,not(cin)),not(xor(cin,t4))) != or(t4,not(cin))
| or(t4,not(and(cin,xor(cin,t4)))) = or(t4,not(cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t4,not(cin)),not(xor(cin,t4))),or(t4,not(cin))) ),[0],$fot(or(t4,not(and(cin,xor(cin,t4)))))]]) ).
cnf(refute_0_8164,plain,
( or(or(t4,not(cin)),not(xor(cin,t4))) != or(t4,not(cin))
| or(t4,not(and(cin,xor(cin,t4)))) = or(t4,not(cin)) ),
inference(resolve,[$cnf( $equal(or(or(t4,not(cin)),not(xor(cin,t4))),or(t4,not(and(cin,xor(cin,t4))))) )],[refute_0_8162,refute_0_8163]) ).
cnf(refute_0_8165,plain,
or(t4,not(and(cin,xor(cin,t4)))) = or(t4,not(cin)),
inference(resolve,[$cnf( $equal(or(or(t4,not(cin)),not(xor(cin,t4))),or(t4,not(cin))) )],[refute_0_8153,refute_0_8164]) ).
cnf(refute_0_8166,plain,
and(cin,xor(cin,t4)) = and(cin,xor(cin,t4)),
introduced(tautology,[refl,[$fot(and(cin,xor(cin,t4)))]]) ).
cnf(refute_0_8167,plain,
( and(cin,xor(cin,t4)) != and(cin,xor(cin,t4))
| xor(cin,t4) != sum
| and(cin,xor(cin,t4)) = and(cin,sum) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,xor(cin,t4)),and(cin,xor(cin,t4))) ),[1,1],$fot(sum)]]) ).
cnf(refute_0_8168,plain,
( xor(cin,t4) != sum
| and(cin,xor(cin,t4)) = and(cin,sum) ),
inference(resolve,[$cnf( $equal(and(cin,xor(cin,t4)),and(cin,xor(cin,t4))) )],[refute_0_8166,refute_0_8167]) ).
cnf(refute_0_8169,plain,
and(cin,xor(cin,t4)) = and(cin,sum),
inference(resolve,[$cnf( $equal(xor(cin,t4),sum) )],[refute_0_4709,refute_0_8168]) ).
cnf(refute_0_8170,plain,
not(and(cin,xor(cin,t4))) = not(and(cin,xor(cin,t4))),
introduced(tautology,[refl,[$fot(not(and(cin,xor(cin,t4))))]]) ).
cnf(refute_0_8171,plain,
( and(cin,xor(cin,t4)) != and(cin,sum)
| not(and(cin,xor(cin,t4))) != not(and(cin,xor(cin,t4)))
| not(and(cin,xor(cin,t4))) = not(and(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(cin,xor(cin,t4))),not(and(cin,xor(cin,t4)))) ),[1,0],$fot(and(cin,sum))]]) ).
cnf(refute_0_8172,plain,
( and(cin,xor(cin,t4)) != and(cin,sum)
| not(and(cin,xor(cin,t4))) = not(and(cin,sum)) ),
inference(resolve,[$cnf( $equal(not(and(cin,xor(cin,t4))),not(and(cin,xor(cin,t4)))) )],[refute_0_8170,refute_0_8171]) ).
cnf(refute_0_8173,plain,
not(and(cin,xor(cin,t4))) = not(and(cin,sum)),
inference(resolve,[$cnf( $equal(and(cin,xor(cin,t4)),and(cin,sum)) )],[refute_0_8169,refute_0_8172]) ).
cnf(refute_0_8174,plain,
or(t4,not(and(cin,xor(cin,t4)))) = or(t4,not(and(cin,xor(cin,t4)))),
introduced(tautology,[refl,[$fot(or(t4,not(and(cin,xor(cin,t4)))))]]) ).
cnf(refute_0_8175,plain,
( not(and(cin,xor(cin,t4))) != not(and(cin,sum))
| or(t4,not(and(cin,xor(cin,t4)))) != or(t4,not(and(cin,xor(cin,t4))))
| or(t4,not(and(cin,xor(cin,t4)))) = or(t4,not(and(cin,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,not(and(cin,xor(cin,t4)))),or(t4,not(and(cin,xor(cin,t4))))) ),[1,1],$fot(not(and(cin,sum)))]]) ).
cnf(refute_0_8176,plain,
( not(and(cin,xor(cin,t4))) != not(and(cin,sum))
| or(t4,not(and(cin,xor(cin,t4)))) = or(t4,not(and(cin,sum))) ),
inference(resolve,[$cnf( $equal(or(t4,not(and(cin,xor(cin,t4)))),or(t4,not(and(cin,xor(cin,t4))))) )],[refute_0_8174,refute_0_8175]) ).
cnf(refute_0_8177,plain,
or(t4,not(and(cin,xor(cin,t4)))) = or(t4,not(and(cin,sum))),
inference(resolve,[$cnf( $equal(not(and(cin,xor(cin,t4))),not(and(cin,sum))) )],[refute_0_8173,refute_0_8176]) ).
cnf(refute_0_8178,plain,
( or(t4,not(and(cin,xor(cin,t4)))) != or(t4,not(and(cin,sum)))
| or(t4,not(and(cin,xor(cin,t4)))) != or(t4,not(cin))
| or(t4,not(and(cin,sum))) = or(t4,not(cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,not(and(cin,xor(cin,t4)))),or(t4,not(cin))) ),[0],$fot(or(t4,not(and(cin,sum))))]]) ).
cnf(refute_0_8179,plain,
( or(t4,not(and(cin,xor(cin,t4)))) != or(t4,not(cin))
| or(t4,not(and(cin,sum))) = or(t4,not(cin)) ),
inference(resolve,[$cnf( $equal(or(t4,not(and(cin,xor(cin,t4)))),or(t4,not(and(cin,sum)))) )],[refute_0_8177,refute_0_8178]) ).
cnf(refute_0_8180,plain,
or(t4,not(and(cin,sum))) = or(t4,not(cin)),
inference(resolve,[$cnf( $equal(or(t4,not(and(cin,xor(cin,t4)))),or(t4,not(cin))) )],[refute_0_8165,refute_0_8179]) ).
cnf(refute_0_8181,plain,
( not(or(not(and(cin,sum)),t4)) != not(or(t4,not(and(cin,sum))))
| or(t4,not(and(cin,sum))) != or(t4,not(cin))
| not(or(not(and(cin,sum)),t4)) = not(or(t4,not(cin))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(and(cin,sum)),t4)),not(or(t4,not(and(cin,sum))))) ),[1,0],$fot(or(t4,not(cin)))]]) ).
cnf(refute_0_8182,plain,
( not(or(not(and(cin,sum)),t4)) != not(or(t4,not(and(cin,sum))))
| not(or(not(and(cin,sum)),t4)) = not(or(t4,not(cin))) ),
inference(resolve,[$cnf( $equal(or(t4,not(and(cin,sum))),or(t4,not(cin))) )],[refute_0_8180,refute_0_8181]) ).
cnf(refute_0_8183,plain,
not(or(not(and(cin,sum)),t4)) = not(or(t4,not(cin))),
inference(resolve,[$cnf( $equal(not(or(not(and(cin,sum)),t4)),not(or(t4,not(and(cin,sum))))) )],[refute_0_8147,refute_0_8182]) ).
cnf(refute_0_8184,plain,
and(cin,and(not(t4),sum)) = and(cin,and(sum,not(t4))),
inference(subst,[],[refute_0_2637:[bind(X_220,$fot(cin)),bind(X_221,$fot(sum)),bind(X_222,$fot(not(t4)))]]) ).
cnf(refute_0_8185,plain,
and(not(t4),and(cin,sum)) = and(cin,and(not(t4),sum)),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(t4))),bind(X_221,$fot(cin)),bind(X_222,$fot(sum))]]) ).
cnf(refute_0_8186,plain,
( and(cin,and(not(t4),sum)) != and(cin,and(sum,not(t4)))
| and(not(t4),and(cin,sum)) != and(cin,and(not(t4),sum))
| and(not(t4),and(cin,sum)) = and(cin,and(sum,not(t4))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t4),and(cin,sum)))),bind(Y0,$fot(and(cin,and(not(t4),sum)))),bind(Z0,$fot(and(cin,and(sum,not(t4)))))]]) ).
cnf(refute_0_8187,plain,
( and(cin,and(not(t4),sum)) != and(cin,and(sum,not(t4)))
| and(not(t4),and(cin,sum)) = and(cin,and(sum,not(t4))) ),
inference(resolve,[$cnf( $equal(and(not(t4),and(cin,sum)),and(cin,and(not(t4),sum))) )],[refute_0_8185,refute_0_8186]) ).
cnf(refute_0_8188,plain,
and(not(t4),and(cin,sum)) = and(cin,and(sum,not(t4))),
inference(resolve,[$cnf( $equal(and(cin,and(not(t4),sum)),and(cin,and(sum,not(t4)))) )],[refute_0_8184,refute_0_8187]) ).
cnf(refute_0_8189,plain,
not(or(t4,not(and(cin,sum)))) = and(not(t4),and(cin,sum)),
inference(subst,[],[refute_0_801:[bind(X,$fot(and(cin,sum))),bind(X_25,$fot(t4))]]) ).
cnf(refute_0_8190,plain,
( and(not(t4),and(cin,sum)) != and(cin,and(sum,not(t4)))
| not(or(t4,not(and(cin,sum)))) != and(not(t4),and(cin,sum))
| not(or(t4,not(and(cin,sum)))) = and(cin,and(sum,not(t4))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(t4,not(and(cin,sum)))))),bind(Y0,$fot(and(not(t4),and(cin,sum)))),bind(Z0,$fot(and(cin,and(sum,not(t4)))))]]) ).
cnf(refute_0_8191,plain,
( and(not(t4),and(cin,sum)) != and(cin,and(sum,not(t4)))
| not(or(t4,not(and(cin,sum)))) = and(cin,and(sum,not(t4))) ),
inference(resolve,[$cnf( $equal(not(or(t4,not(and(cin,sum)))),and(not(t4),and(cin,sum))) )],[refute_0_8189,refute_0_8190]) ).
cnf(refute_0_8192,plain,
not(or(t4,not(and(cin,sum)))) = and(cin,and(sum,not(t4))),
inference(resolve,[$cnf( $equal(and(not(t4),and(cin,sum)),and(cin,and(sum,not(t4)))) )],[refute_0_8188,refute_0_8191]) ).
cnf(refute_0_8193,plain,
( not(or(not(and(cin,sum)),t4)) != not(or(t4,not(and(cin,sum))))
| not(or(t4,not(and(cin,sum)))) != and(cin,and(sum,not(t4)))
| not(or(not(and(cin,sum)),t4)) = and(cin,and(sum,not(t4))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(not(and(cin,sum)),t4)))),bind(Y0,$fot(not(or(t4,not(and(cin,sum)))))),bind(Z0,$fot(and(cin,and(sum,not(t4)))))]]) ).
cnf(refute_0_8194,plain,
( not(or(t4,not(and(cin,sum)))) != and(cin,and(sum,not(t4)))
| not(or(not(and(cin,sum)),t4)) = and(cin,and(sum,not(t4))) ),
inference(resolve,[$cnf( $equal(not(or(not(and(cin,sum)),t4)),not(or(t4,not(and(cin,sum))))) )],[refute_0_8147,refute_0_8193]) ).
cnf(refute_0_8195,plain,
not(or(not(and(cin,sum)),t4)) = and(cin,and(sum,not(t4))),
inference(resolve,[$cnf( $equal(not(or(t4,not(and(cin,sum)))),and(cin,and(sum,not(t4)))) )],[refute_0_8192,refute_0_8194]) ).
cnf(refute_0_8196,plain,
( not(or(not(and(cin,sum)),t4)) != and(cin,and(sum,not(t4)))
| not(or(not(and(cin,sum)),t4)) != not(or(t4,not(cin)))
| and(cin,and(sum,not(t4))) = not(or(t4,not(cin))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(and(cin,sum)),t4)),not(or(t4,not(cin)))) ),[0],$fot(and(cin,and(sum,not(t4))))]]) ).
cnf(refute_0_8197,plain,
( not(or(not(and(cin,sum)),t4)) != not(or(t4,not(cin)))
| and(cin,and(sum,not(t4))) = not(or(t4,not(cin))) ),
inference(resolve,[$cnf( $equal(not(or(not(and(cin,sum)),t4)),and(cin,and(sum,not(t4)))) )],[refute_0_8195,refute_0_8196]) ).
cnf(refute_0_8198,plain,
and(not(t4),cin) = and(cin,not(t4)),
inference(subst,[],[refute_0_116:[bind(X,$fot(cin)),bind(Y,$fot(not(t4)))]]) ).
cnf(refute_0_8199,plain,
not(or(t4,not(cin))) = and(not(t4),cin),
inference(subst,[],[refute_0_801:[bind(X,$fot(cin)),bind(X_25,$fot(t4))]]) ).
cnf(refute_0_8200,plain,
( and(not(t4),cin) != and(cin,not(t4))
| not(or(t4,not(cin))) != and(not(t4),cin)
| not(or(t4,not(cin))) = and(cin,not(t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(t4,not(cin))))),bind(Y0,$fot(and(not(t4),cin))),bind(Z0,$fot(and(cin,not(t4))))]]) ).
cnf(refute_0_8201,plain,
( and(not(t4),cin) != and(cin,not(t4))
| not(or(t4,not(cin))) = and(cin,not(t4)) ),
inference(resolve,[$cnf( $equal(not(or(t4,not(cin))),and(not(t4),cin)) )],[refute_0_8199,refute_0_8200]) ).
cnf(refute_0_8202,plain,
not(or(t4,not(cin))) = and(cin,not(t4)),
inference(resolve,[$cnf( $equal(and(not(t4),cin),and(cin,not(t4))) )],[refute_0_8198,refute_0_8201]) ).
cnf(refute_0_8203,plain,
( and(cin,and(sum,not(t4))) != not(or(t4,not(cin)))
| not(or(t4,not(cin))) != and(cin,not(t4))
| and(cin,and(sum,not(t4))) = and(cin,not(t4)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(cin,and(sum,not(t4))),and(cin,not(t4))) ),[0],$fot(not(or(t4,not(cin))))]]) ).
cnf(refute_0_8204,plain,
( and(cin,and(sum,not(t4))) != not(or(t4,not(cin)))
| and(cin,and(sum,not(t4))) = and(cin,not(t4)) ),
inference(resolve,[$cnf( $equal(not(or(t4,not(cin))),and(cin,not(t4))) )],[refute_0_8202,refute_0_8203]) ).
cnf(refute_0_8205,plain,
( not(or(not(and(cin,sum)),t4)) != not(or(t4,not(cin)))
| and(cin,and(sum,not(t4))) = and(cin,not(t4)) ),
inference(resolve,[$cnf( $equal(and(cin,and(sum,not(t4))),not(or(t4,not(cin)))) )],[refute_0_8197,refute_0_8204]) ).
cnf(refute_0_8206,plain,
and(cin,and(sum,not(t4))) = and(cin,not(t4)),
inference(resolve,[$cnf( $equal(not(or(not(and(cin,sum)),t4)),not(or(t4,not(cin)))) )],[refute_0_8183,refute_0_8205]) ).
cnf(refute_0_8207,plain,
( and(and(X,cin),and(sum,not(t4))) != and(X,and(cin,and(sum,not(t4))))
| and(cin,and(sum,not(t4))) != and(cin,not(t4))
| and(and(X,cin),and(sum,not(t4))) = and(X,and(cin,not(t4))) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X,cin),and(sum,not(t4))),and(X,and(cin,and(sum,not(t4))))) ),[1,1],$fot(and(cin,not(t4)))]]) ).
cnf(refute_0_8208,plain,
( and(and(X,cin),and(sum,not(t4))) != and(X,and(cin,and(sum,not(t4))))
| and(and(X,cin),and(sum,not(t4))) = and(X,and(cin,not(t4))) ),
inference(resolve,[$cnf( $equal(and(cin,and(sum,not(t4))),and(cin,not(t4))) )],[refute_0_8206,refute_0_8207]) ).
cnf(refute_0_8209,plain,
and(and(X,cin),and(sum,not(t4))) = and(X,and(cin,not(t4))),
inference(resolve,[$cnf( $equal(and(and(X,cin),and(sum,not(t4))),and(X,and(cin,and(sum,not(t4))))) )],[refute_0_8146,refute_0_8208]) ).
cnf(refute_0_8210,plain,
and(sum,and(cin,and(not(t4),X))) = and(cin,and(sum,and(not(t4),X))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(sum)),bind(X_221,$fot(cin)),bind(X_222,$fot(and(not(t4),X)))]]) ).
cnf(refute_0_8211,plain,
and(not(t4),and(X,cin)) = and(cin,and(not(t4),X)),
inference(subst,[],[refute_0_889:[bind(X,$fot(cin)),bind(X_220,$fot(not(t4))),bind(X_221,$fot(X))]]) ).
cnf(refute_0_8212,plain,
and(sum,and(not(t4),and(X,cin))) = and(sum,and(not(t4),and(X,cin))),
introduced(tautology,[refl,[$fot(and(sum,and(not(t4),and(X,cin))))]]) ).
cnf(refute_0_8213,plain,
( and(not(t4),and(X,cin)) != and(cin,and(not(t4),X))
| and(sum,and(not(t4),and(X,cin))) != and(sum,and(not(t4),and(X,cin)))
| and(sum,and(not(t4),and(X,cin))) = and(sum,and(cin,and(not(t4),X))) ),
introduced(tautology,[equality,[$cnf( $equal(and(sum,and(not(t4),and(X,cin))),and(sum,and(not(t4),and(X,cin)))) ),[1,1],$fot(and(cin,and(not(t4),X)))]]) ).
cnf(refute_0_8214,plain,
( and(not(t4),and(X,cin)) != and(cin,and(not(t4),X))
| and(sum,and(not(t4),and(X,cin))) = and(sum,and(cin,and(not(t4),X))) ),
inference(resolve,[$cnf( $equal(and(sum,and(not(t4),and(X,cin))),and(sum,and(not(t4),and(X,cin)))) )],[refute_0_8212,refute_0_8213]) ).
cnf(refute_0_8215,plain,
and(sum,and(not(t4),and(X,cin))) = and(sum,and(cin,and(not(t4),X))),
inference(resolve,[$cnf( $equal(and(not(t4),and(X,cin)),and(cin,and(not(t4),X))) )],[refute_0_8211,refute_0_8214]) ).
cnf(refute_0_8216,plain,
( and(sum,and(cin,and(not(t4),X))) != and(cin,and(sum,and(not(t4),X)))
| and(sum,and(not(t4),and(X,cin))) != and(sum,and(cin,and(not(t4),X)))
| and(sum,and(not(t4),and(X,cin))) = and(cin,and(sum,and(not(t4),X))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(sum,and(not(t4),and(X,cin))))),bind(Y0,$fot(and(sum,and(cin,and(not(t4),X))))),bind(Z0,$fot(and(cin,and(sum,and(not(t4),X)))))]]) ).
cnf(refute_0_8217,plain,
( and(sum,and(cin,and(not(t4),X))) != and(cin,and(sum,and(not(t4),X)))
| and(sum,and(not(t4),and(X,cin))) = and(cin,and(sum,and(not(t4),X))) ),
inference(resolve,[$cnf( $equal(and(sum,and(not(t4),and(X,cin))),and(sum,and(cin,and(not(t4),X)))) )],[refute_0_8215,refute_0_8216]) ).
cnf(refute_0_8218,plain,
and(sum,and(not(t4),and(X,cin))) = and(cin,and(sum,and(not(t4),X))),
inference(resolve,[$cnf( $equal(and(sum,and(cin,and(not(t4),X))),and(cin,and(sum,and(not(t4),X)))) )],[refute_0_8210,refute_0_8217]) ).
cnf(refute_0_8219,plain,
and(sum,and(and(X,cin),not(t4))) = and(sum,and(not(t4),and(X,cin))),
inference(subst,[],[refute_0_2637:[bind(X_220,$fot(sum)),bind(X_221,$fot(not(t4))),bind(X_222,$fot(and(X,cin)))]]) ).
cnf(refute_0_8220,plain,
and(and(X,cin),and(sum,not(t4))) = and(sum,and(and(X,cin),not(t4))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(and(X,cin))),bind(X_221,$fot(sum)),bind(X_222,$fot(not(t4)))]]) ).
cnf(refute_0_8221,plain,
( and(and(X,cin),and(sum,not(t4))) != and(sum,and(and(X,cin),not(t4)))
| and(sum,and(and(X,cin),not(t4))) != and(sum,and(not(t4),and(X,cin)))
| and(and(X,cin),and(sum,not(t4))) = and(sum,and(not(t4),and(X,cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(X,cin),and(sum,not(t4))))),bind(Y0,$fot(and(sum,and(and(X,cin),not(t4))))),bind(Z0,$fot(and(sum,and(not(t4),and(X,cin)))))]]) ).
cnf(refute_0_8222,plain,
( and(sum,and(and(X,cin),not(t4))) != and(sum,and(not(t4),and(X,cin)))
| and(and(X,cin),and(sum,not(t4))) = and(sum,and(not(t4),and(X,cin))) ),
inference(resolve,[$cnf( $equal(and(and(X,cin),and(sum,not(t4))),and(sum,and(and(X,cin),not(t4)))) )],[refute_0_8220,refute_0_8221]) ).
cnf(refute_0_8223,plain,
and(and(X,cin),and(sum,not(t4))) = and(sum,and(not(t4),and(X,cin))),
inference(resolve,[$cnf( $equal(and(sum,and(and(X,cin),not(t4))),and(sum,and(not(t4),and(X,cin)))) )],[refute_0_8219,refute_0_8222]) ).
cnf(refute_0_8224,plain,
( and(and(X,cin),and(sum,not(t4))) != and(sum,and(not(t4),and(X,cin)))
| and(sum,and(not(t4),and(X,cin))) != and(cin,and(sum,and(not(t4),X)))
| and(and(X,cin),and(sum,not(t4))) = and(cin,and(sum,and(not(t4),X))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(X,cin),and(sum,not(t4))))),bind(Y0,$fot(and(sum,and(not(t4),and(X,cin))))),bind(Z0,$fot(and(cin,and(sum,and(not(t4),X)))))]]) ).
cnf(refute_0_8225,plain,
( and(sum,and(not(t4),and(X,cin))) != and(cin,and(sum,and(not(t4),X)))
| and(and(X,cin),and(sum,not(t4))) = and(cin,and(sum,and(not(t4),X))) ),
inference(resolve,[$cnf( $equal(and(and(X,cin),and(sum,not(t4))),and(sum,and(not(t4),and(X,cin)))) )],[refute_0_8223,refute_0_8224]) ).
cnf(refute_0_8226,plain,
and(and(X,cin),and(sum,not(t4))) = and(cin,and(sum,and(not(t4),X))),
inference(resolve,[$cnf( $equal(and(sum,and(not(t4),and(X,cin))),and(cin,and(sum,and(not(t4),X)))) )],[refute_0_8218,refute_0_8225]) ).
cnf(refute_0_8227,plain,
( and(and(X,cin),and(sum,not(t4))) != and(X,and(cin,not(t4)))
| and(and(X,cin),and(sum,not(t4))) != and(cin,and(sum,and(not(t4),X)))
| and(cin,and(sum,and(not(t4),X))) = and(X,and(cin,not(t4))) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X,cin),and(sum,not(t4))),and(X,and(cin,not(t4)))) ),[0],$fot(and(cin,and(sum,and(not(t4),X))))]]) ).
cnf(refute_0_8228,plain,
( and(and(X,cin),and(sum,not(t4))) != and(X,and(cin,not(t4)))
| and(cin,and(sum,and(not(t4),X))) = and(X,and(cin,not(t4))) ),
inference(resolve,[$cnf( $equal(and(and(X,cin),and(sum,not(t4))),and(cin,and(sum,and(not(t4),X)))) )],[refute_0_8226,refute_0_8227]) ).
cnf(refute_0_8229,plain,
and(cin,and(sum,and(not(t4),X))) = and(X,and(cin,not(t4))),
inference(resolve,[$cnf( $equal(and(and(X,cin),and(sum,not(t4))),and(X,and(cin,not(t4)))) )],[refute_0_8209,refute_0_8228]) ).
cnf(refute_0_8230,plain,
and(X,and(cin,not(t4))) = and(X,and(cin,not(t4))),
introduced(tautology,[refl,[$fot(and(X,and(cin,not(t4))))]]) ).
cnf(refute_0_8231,plain,
( and(X,and(cin,not(t4))) != and(X,and(cin,not(t4)))
| and(cin,not(t4)) != not(t7)
| and(X,and(cin,not(t4))) = and(X,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(X,and(cin,not(t4))),and(X,and(cin,not(t4)))) ),[1,1],$fot(not(t7))]]) ).
cnf(refute_0_8232,plain,
( and(cin,not(t4)) != not(t7)
| and(X,and(cin,not(t4))) = and(X,not(t7)) ),
inference(resolve,[$cnf( $equal(and(X,and(cin,not(t4))),and(X,and(cin,not(t4)))) )],[refute_0_8230,refute_0_8231]) ).
cnf(refute_0_8233,plain,
and(X,and(cin,not(t4))) = and(X,not(t7)),
inference(resolve,[$cnf( $equal(and(cin,not(t4)),not(t7)) )],[refute_0_5566,refute_0_8232]) ).
cnf(refute_0_8234,plain,
( and(X,and(cin,not(t4))) != and(X,not(t7))
| and(cin,and(sum,and(not(t4),X))) != and(X,and(cin,not(t4)))
| and(cin,and(sum,and(not(t4),X))) = and(X,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,and(sum,and(not(t4),X))),and(X,and(cin,not(t4)))) ),[1],$fot(and(X,not(t7)))]]) ).
cnf(refute_0_8235,plain,
( and(cin,and(sum,and(not(t4),X))) != and(X,and(cin,not(t4)))
| and(cin,and(sum,and(not(t4),X))) = and(X,not(t7)) ),
inference(resolve,[$cnf( $equal(and(X,and(cin,not(t4))),and(X,not(t7))) )],[refute_0_8233,refute_0_8234]) ).
cnf(refute_0_8236,plain,
and(cin,and(sum,and(not(t4),X))) = and(X,not(t7)),
inference(resolve,[$cnf( $equal(and(cin,and(sum,and(not(t4),X))),and(X,and(cin,not(t4)))) )],[refute_0_8229,refute_0_8235]) ).
cnf(refute_0_8237,plain,
and(not(t4),not(t7)) = and(t5,and(t6,not(t7))),
inference(subst,[],[refute_0_5450:[bind(Z,$fot(not(t7)))]]) ).
cnf(refute_0_8238,plain,
not(or(not(t6),t7)) = not(or(t7,not(t6))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(t7)),bind(X_26,$fot(not(t6)))]]) ).
cnf(refute_0_8239,plain,
or(t7,and(not(cin),Y)) = or(t7,or(not(cin),and(not(cin),Y))),
inference(subst,[],[refute_0_6055:[bind(X_39,$fot(and(not(cin),Y)))]]) ).
cnf(refute_0_8240,plain,
or(not(cin),and(not(cin),Y)) = not(cin),
inference(subst,[],[or_absorption:[bind(X,$fot(not(cin)))]]) ).
cnf(refute_0_8241,plain,
( or(not(cin),and(not(cin),Y)) != not(cin)
| or(t7,and(not(cin),Y)) != or(t7,or(not(cin),and(not(cin),Y)))
| or(t7,and(not(cin),Y)) = or(t7,not(cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,and(not(cin),Y)),or(t7,or(not(cin),and(not(cin),Y)))) ),[1,1],$fot(not(cin))]]) ).
cnf(refute_0_8242,plain,
( or(t7,and(not(cin),Y)) != or(t7,or(not(cin),and(not(cin),Y)))
| or(t7,and(not(cin),Y)) = or(t7,not(cin)) ),
inference(resolve,[$cnf( $equal(or(not(cin),and(not(cin),Y)),not(cin)) )],[refute_0_8240,refute_0_8241]) ).
cnf(refute_0_8243,plain,
or(t7,and(not(cin),Y)) = or(t7,not(cin)),
inference(resolve,[$cnf( $equal(or(t7,and(not(cin),Y)),or(t7,or(not(cin),and(not(cin),Y)))) )],[refute_0_8239,refute_0_8242]) ).
cnf(refute_0_8244,plain,
( or(t7,and(not(cin),Y)) != or(t7,not(cin))
| or(t7,not(cin)) != t7
| or(t7,and(not(cin),Y)) = t7 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(t7,and(not(cin),Y)),t7) ),[0],$fot(or(t7,not(cin)))]]) ).
cnf(refute_0_8245,plain,
( or(t7,and(not(cin),Y)) != or(t7,not(cin))
| or(t7,and(not(cin),Y)) = t7 ),
inference(resolve,[$cnf( $equal(or(t7,not(cin)),t7) )],[refute_0_748,refute_0_8244]) ).
cnf(refute_0_8246,plain,
or(t7,and(not(cin),Y)) = t7,
inference(resolve,[$cnf( $equal(or(t7,and(not(cin),Y)),or(t7,not(cin))) )],[refute_0_8243,refute_0_8245]) ).
cnf(refute_0_8247,plain,
or(t7,and(not(cin),not(Y))) = t7,
inference(subst,[],[refute_0_8246:[bind(Y,$fot(not(Y)))]]) ).
cnf(refute_0_8248,plain,
not(or(cin,Y)) = and(not(cin),not(Y)),
inference(subst,[],[or_demorgan:[bind(X,$fot(cin))]]) ).
cnf(refute_0_8249,plain,
( not(or(cin,Y)) != and(not(cin),not(Y))
| and(not(cin),not(Y)) = not(or(cin,Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(cin,Y)))),bind(Y0,$fot(and(not(cin),not(Y))))]]) ).
cnf(refute_0_8250,plain,
and(not(cin),not(Y)) = not(or(cin,Y)),
inference(resolve,[$cnf( $equal(not(or(cin,Y)),and(not(cin),not(Y))) )],[refute_0_8248,refute_0_8249]) ).
cnf(refute_0_8251,plain,
( and(not(cin),not(Y)) != not(or(cin,Y))
| or(t7,and(not(cin),not(Y))) != t7
| or(t7,not(or(cin,Y))) = t7 ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,and(not(cin),not(Y))),t7) ),[0,1],$fot(not(or(cin,Y)))]]) ).
cnf(refute_0_8252,plain,
( or(t7,and(not(cin),not(Y))) != t7
| or(t7,not(or(cin,Y))) = t7 ),
inference(resolve,[$cnf( $equal(and(not(cin),not(Y)),not(or(cin,Y))) )],[refute_0_8250,refute_0_8251]) ).
cnf(refute_0_8253,plain,
or(t7,not(or(cin,Y))) = t7,
inference(resolve,[$cnf( $equal(or(t7,and(not(cin),not(Y))),t7) )],[refute_0_8247,refute_0_8252]) ).
cnf(refute_0_8254,plain,
or(t7,not(or(cin,xor(cin,t6)))) = t7,
inference(subst,[],[refute_0_8253:[bind(Y,$fot(xor(cin,t6)))]]) ).
cnf(refute_0_8255,plain,
( or(cin,xor(cin,t6)) != t6
| or(t7,not(or(cin,xor(cin,t6)))) != t7
| or(t7,not(t6)) = t7 ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,not(or(cin,xor(cin,t6)))),t7) ),[0,1,0],$fot(t6)]]) ).
cnf(refute_0_8256,plain,
( or(t7,not(or(cin,xor(cin,t6)))) != t7
| or(t7,not(t6)) = t7 ),
inference(resolve,[$cnf( $equal(or(cin,xor(cin,t6)),t6) )],[refute_0_1473,refute_0_8255]) ).
cnf(refute_0_8257,plain,
or(t7,not(t6)) = t7,
inference(resolve,[$cnf( $equal(or(t7,not(or(cin,xor(cin,t6)))),t7) )],[refute_0_8254,refute_0_8256]) ).
cnf(refute_0_8258,plain,
( not(or(not(t6),t7)) != not(or(t7,not(t6)))
| or(t7,not(t6)) != t7
| not(or(not(t6),t7)) = not(t7) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(t6),t7)),not(or(t7,not(t6)))) ),[1,0],$fot(t7)]]) ).
cnf(refute_0_8259,plain,
( not(or(not(t6),t7)) != not(or(t7,not(t6)))
| not(or(not(t6),t7)) = not(t7) ),
inference(resolve,[$cnf( $equal(or(t7,not(t6)),t7) )],[refute_0_8257,refute_0_8258]) ).
cnf(refute_0_8260,plain,
not(or(not(t6),t7)) = not(t7),
inference(resolve,[$cnf( $equal(not(or(not(t6),t7)),not(or(t7,not(t6)))) )],[refute_0_8238,refute_0_8259]) ).
cnf(refute_0_8261,plain,
not(or(not(t6),t7)) = and(t6,not(t7)),
inference(subst,[],[refute_0_159:[bind(X,$fot(t6)),bind(X_26,$fot(t7))]]) ).
cnf(refute_0_8262,plain,
( not(or(not(t6),t7)) != and(t6,not(t7))
| not(or(not(t6),t7)) != not(t7)
| and(t6,not(t7)) = not(t7) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(t6),t7)),not(t7)) ),[0],$fot(and(t6,not(t7)))]]) ).
cnf(refute_0_8263,plain,
( not(or(not(t6),t7)) != not(t7)
| and(t6,not(t7)) = not(t7) ),
inference(resolve,[$cnf( $equal(not(or(not(t6),t7)),and(t6,not(t7))) )],[refute_0_8261,refute_0_8262]) ).
cnf(refute_0_8264,plain,
and(t6,not(t7)) = not(t7),
inference(resolve,[$cnf( $equal(not(or(not(t6),t7)),not(t7)) )],[refute_0_8260,refute_0_8263]) ).
cnf(refute_0_8265,plain,
( and(not(t4),not(t7)) != and(t5,and(t6,not(t7)))
| and(t6,not(t7)) != not(t7)
| and(not(t4),not(t7)) = and(t5,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),not(t7)),and(t5,and(t6,not(t7)))) ),[1,1],$fot(not(t7))]]) ).
cnf(refute_0_8266,plain,
( and(not(t4),not(t7)) != and(t5,and(t6,not(t7)))
| and(not(t4),not(t7)) = and(t5,not(t7)) ),
inference(resolve,[$cnf( $equal(and(t6,not(t7)),not(t7)) )],[refute_0_8264,refute_0_8265]) ).
cnf(refute_0_8267,plain,
and(not(t4),not(t7)) = and(t5,not(t7)),
inference(resolve,[$cnf( $equal(and(not(t4),not(t7)),and(t5,and(t6,not(t7)))) )],[refute_0_8237,refute_0_8266]) ).
cnf(refute_0_8268,plain,
and(not(t4),not(t7)) = not(or(t4,t7)),
inference(subst,[],[refute_0_101:[bind(X,$fot(t4)),bind(Y,$fot(t7))]]) ).
cnf(refute_0_8269,plain,
( and(not(t4),not(t7)) != and(t5,not(t7))
| and(not(t4),not(t7)) != not(or(t4,t7))
| not(or(t4,t7)) = and(t5,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),not(t7)),and(t5,not(t7))) ),[0],$fot(not(or(t4,t7)))]]) ).
cnf(refute_0_8270,plain,
( and(not(t4),not(t7)) != and(t5,not(t7))
| not(or(t4,t7)) = and(t5,not(t7)) ),
inference(resolve,[$cnf( $equal(and(not(t4),not(t7)),not(or(t4,t7))) )],[refute_0_8268,refute_0_8269]) ).
cnf(refute_0_8271,plain,
( and(t5,not(t7)) != not(t7)
| not(or(t4,t7)) != and(t5,not(t7))
| not(or(t4,t7)) = not(t7) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t4,t7)),and(t5,not(t7))) ),[1],$fot(not(t7))]]) ).
cnf(refute_0_8272,plain,
( not(or(t4,t7)) != and(t5,not(t7))
| not(or(t4,t7)) = not(t7) ),
inference(resolve,[$cnf( $equal(and(t5,not(t7)),not(t7)) )],[refute_0_233,refute_0_8271]) ).
cnf(refute_0_8273,plain,
( and(not(t4),not(t7)) != and(t5,not(t7))
| not(or(t4,t7)) = not(t7) ),
inference(resolve,[$cnf( $equal(not(or(t4,t7)),and(t5,not(t7))) )],[refute_0_8270,refute_0_8272]) ).
cnf(refute_0_8274,plain,
not(or(t4,t7)) = not(t7),
inference(resolve,[$cnf( $equal(and(not(t4),not(t7)),and(t5,not(t7))) )],[refute_0_8267,refute_0_8273]) ).
cnf(refute_0_8275,plain,
and(not(or(t4,t7)),X) = and(not(or(t4,t7)),X),
introduced(tautology,[refl,[$fot(and(not(or(t4,t7)),X))]]) ).
cnf(refute_0_8276,plain,
( and(not(or(t4,t7)),X) != and(not(or(t4,t7)),X)
| not(or(t4,t7)) != not(t7)
| and(not(or(t4,t7)),X) = and(not(t7),X) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(or(t4,t7)),X),and(not(or(t4,t7)),X)) ),[1,0],$fot(not(t7))]]) ).
cnf(refute_0_8277,plain,
( not(or(t4,t7)) != not(t7)
| and(not(or(t4,t7)),X) = and(not(t7),X) ),
inference(resolve,[$cnf( $equal(and(not(or(t4,t7)),X),and(not(or(t4,t7)),X)) )],[refute_0_8275,refute_0_8276]) ).
cnf(refute_0_8278,plain,
and(not(or(t4,t7)),X) = and(not(t7),X),
inference(resolve,[$cnf( $equal(not(or(t4,t7)),not(t7)) )],[refute_0_8274,refute_0_8277]) ).
cnf(refute_0_8279,plain,
not(or(X,or(X_79,not(X_78)))) = and(not(X),not(or(X_79,not(X_78)))),
inference(subst,[],[or_demorgan:[bind(Y,$fot(or(X_79,not(X_78))))]]) ).
cnf(refute_0_8280,plain,
( not(or(X,or(X_79,not(X_78)))) != and(not(X),not(or(X_79,not(X_78))))
| not(or(X_79,not(X_78))) != and(not(X_79),X_78)
| not(or(X,or(X_79,not(X_78)))) = and(not(X),and(not(X_79),X_78)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,or(X_79,not(X_78)))),and(not(X),not(or(X_79,not(X_78))))) ),[1,1],$fot(and(not(X_79),X_78))]]) ).
cnf(refute_0_8281,plain,
( not(or(X,or(X_79,not(X_78)))) != and(not(X),not(or(X_79,not(X_78))))
| not(or(X,or(X_79,not(X_78)))) = and(not(X),and(not(X_79),X_78)) ),
inference(resolve,[$cnf( $equal(not(or(X_79,not(X_78))),and(not(X_79),X_78)) )],[refute_0_1332,refute_0_8280]) ).
cnf(refute_0_8282,plain,
not(or(X,or(X_79,not(X_78)))) = and(not(X),and(not(X_79),X_78)),
inference(resolve,[$cnf( $equal(not(or(X,or(X_79,not(X_78)))),and(not(X),not(or(X_79,not(X_78))))) )],[refute_0_8279,refute_0_8281]) ).
cnf(refute_0_8283,plain,
not(or(X,or(X_79,not(X_78)))) = and(not(or(X,X_79)),X_78),
inference(subst,[],[refute_0_7097:[bind(Y,$fot(X_79))]]) ).
cnf(refute_0_8284,plain,
( not(or(X,or(X_79,not(X_78)))) != and(not(X),and(not(X_79),X_78))
| not(or(X,or(X_79,not(X_78)))) != and(not(or(X,X_79)),X_78)
| and(not(or(X,X_79)),X_78) = and(not(X),and(not(X_79),X_78)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,or(X_79,not(X_78)))),and(not(X),and(not(X_79),X_78))) ),[0],$fot(and(not(or(X,X_79)),X_78))]]) ).
cnf(refute_0_8285,plain,
( not(or(X,or(X_79,not(X_78)))) != and(not(X),and(not(X_79),X_78))
| and(not(or(X,X_79)),X_78) = and(not(X),and(not(X_79),X_78)) ),
inference(resolve,[$cnf( $equal(not(or(X,or(X_79,not(X_78)))),and(not(or(X,X_79)),X_78)) )],[refute_0_8283,refute_0_8284]) ).
cnf(refute_0_8286,plain,
and(not(or(X,X_79)),X_78) = and(not(X),and(not(X_79),X_78)),
inference(resolve,[$cnf( $equal(not(or(X,or(X_79,not(X_78)))),and(not(X),and(not(X_79),X_78))) )],[refute_0_8282,refute_0_8285]) ).
cnf(refute_0_8287,plain,
( and(not(or(X,X_79)),X_78) != and(not(X),and(not(X_79),X_78))
| and(not(X),and(not(X_79),X_78)) = and(not(or(X,X_79)),X_78) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(or(X,X_79)),X_78))),bind(Y0,$fot(and(not(X),and(not(X_79),X_78))))]]) ).
cnf(refute_0_8288,plain,
and(not(X),and(not(X_79),X_78)) = and(not(or(X,X_79)),X_78),
inference(resolve,[$cnf( $equal(and(not(or(X,X_79)),X_78),and(not(X),and(not(X_79),X_78))) )],[refute_0_8286,refute_0_8287]) ).
cnf(refute_0_8289,plain,
and(not(t4),and(not(t7),X)) = and(not(or(t4,t7)),X),
inference(subst,[],[refute_0_8288:[bind(X,$fot(t4)),bind(X_78,$fot(X)),bind(X_79,$fot(t7))]]) ).
cnf(refute_0_8290,plain,
and(not(t7),and(not(t4),X)) = and(not(t4),and(not(t7),X)),
inference(subst,[],[refute_0_4220:[bind(X,$fot(not(t4))),bind(Z,$fot(X)),bind(X_669,$fot(not(t7)))]]) ).
cnf(refute_0_8291,plain,
( and(not(t4),and(not(t7),X)) != and(not(or(t4,t7)),X)
| and(not(t7),and(not(t4),X)) != and(not(t4),and(not(t7),X))
| and(not(t7),and(not(t4),X)) = and(not(or(t4,t7)),X) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t7),and(not(t4),X)))),bind(Y0,$fot(and(not(t4),and(not(t7),X)))),bind(Z0,$fot(and(not(or(t4,t7)),X)))]]) ).
cnf(refute_0_8292,plain,
( and(not(t4),and(not(t7),X)) != and(not(or(t4,t7)),X)
| and(not(t7),and(not(t4),X)) = and(not(or(t4,t7)),X) ),
inference(resolve,[$cnf( $equal(and(not(t7),and(not(t4),X)),and(not(t4),and(not(t7),X))) )],[refute_0_8290,refute_0_8291]) ).
cnf(refute_0_8293,plain,
and(not(t7),and(not(t4),X)) = and(not(or(t4,t7)),X),
inference(resolve,[$cnf( $equal(and(not(t4),and(not(t7),X)),and(not(or(t4,t7)),X)) )],[refute_0_8289,refute_0_8292]) ).
cnf(refute_0_8294,plain,
and(and(t6,not(xor(t6,and(cin,sum)))),Z) = and(t6,and(not(xor(t6,and(cin,sum))),Z)),
inference(subst,[],[and_associative:[bind(X,$fot(t6)),bind(Y,$fot(not(xor(t6,and(cin,sum)))))]]) ).
cnf(refute_0_8295,plain,
( and(and(t6,not(xor(t6,and(cin,sum)))),Z) != and(t6,and(not(xor(t6,and(cin,sum))),Z))
| and(t6,not(xor(t6,and(cin,sum)))) != and(cin,sum)
| and(and(cin,sum),Z) = and(t6,and(not(xor(t6,and(cin,sum))),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t6,not(xor(t6,and(cin,sum)))),Z),and(t6,and(not(xor(t6,and(cin,sum))),Z))) ),[0,0],$fot(and(cin,sum))]]) ).
cnf(refute_0_8296,plain,
( and(and(t6,not(xor(t6,and(cin,sum)))),Z) != and(t6,and(not(xor(t6,and(cin,sum))),Z))
| and(and(cin,sum),Z) = and(t6,and(not(xor(t6,and(cin,sum))),Z)) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(t6,and(cin,sum)))),and(cin,sum)) )],[refute_0_7132,refute_0_8295]) ).
cnf(refute_0_8297,plain,
and(and(cin,sum),Z) = and(t6,and(not(xor(t6,and(cin,sum))),Z)),
inference(resolve,[$cnf( $equal(and(and(t6,not(xor(t6,and(cin,sum)))),Z),and(t6,and(not(xor(t6,and(cin,sum))),Z))) )],[refute_0_8294,refute_0_8296]) ).
cnf(refute_0_8298,plain,
and(and(cin,sum),Z) = and(cin,and(sum,Z)),
inference(subst,[],[and_associative:[bind(X,$fot(cin)),bind(Y,$fot(sum))]]) ).
cnf(refute_0_8299,plain,
( and(and(cin,sum),Z) != and(cin,and(sum,Z))
| and(and(cin,sum),Z) != and(t6,and(not(xor(t6,and(cin,sum))),Z))
| and(cin,and(sum,Z)) = and(t6,and(not(xor(t6,and(cin,sum))),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(cin,sum),Z),and(t6,and(not(xor(t6,and(cin,sum))),Z))) ),[0],$fot(and(cin,and(sum,Z)))]]) ).
cnf(refute_0_8300,plain,
( and(and(cin,sum),Z) != and(t6,and(not(xor(t6,and(cin,sum))),Z))
| and(cin,and(sum,Z)) = and(t6,and(not(xor(t6,and(cin,sum))),Z)) ),
inference(resolve,[$cnf( $equal(and(and(cin,sum),Z),and(cin,and(sum,Z))) )],[refute_0_8298,refute_0_8299]) ).
cnf(refute_0_8301,plain,
and(cin,and(sum,Z)) = and(t6,and(not(xor(t6,and(cin,sum))),Z)),
inference(resolve,[$cnf( $equal(and(and(cin,sum),Z),and(t6,and(not(xor(t6,and(cin,sum))),Z))) )],[refute_0_8297,refute_0_8300]) ).
cnf(refute_0_8302,plain,
and(and(sum,t6),Z) = and(sum,and(t6,Z)),
inference(subst,[],[and_associative:[bind(X,$fot(sum)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_8303,plain,
( and(and(sum,t6),Z) != and(sum,and(t6,Z))
| and(sum,t6) != not(t7)
| and(not(t7),Z) = and(sum,and(t6,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(sum,t6),Z),and(sum,and(t6,Z))) ),[0,0],$fot(not(t7))]]) ).
cnf(refute_0_8304,plain,
( and(and(sum,t6),Z) != and(sum,and(t6,Z))
| and(not(t7),Z) = and(sum,and(t6,Z)) ),
inference(resolve,[$cnf( $equal(and(sum,t6),not(t7)) )],[refute_0_5395,refute_0_8303]) ).
cnf(refute_0_8305,plain,
and(not(t7),Z) = and(sum,and(t6,Z)),
inference(resolve,[$cnf( $equal(and(and(sum,t6),Z),and(sum,and(t6,Z))) )],[refute_0_8302,refute_0_8304]) ).
cnf(refute_0_8306,plain,
( and(not(t7),Z) != and(sum,and(t6,Z))
| and(sum,and(t6,Z)) = and(not(t7),Z) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t7),Z))),bind(Y0,$fot(and(sum,and(t6,Z))))]]) ).
cnf(refute_0_8307,plain,
and(sum,and(t6,Z)) = and(not(t7),Z),
inference(resolve,[$cnf( $equal(and(not(t7),Z),and(sum,and(t6,Z))) )],[refute_0_8305,refute_0_8306]) ).
cnf(refute_0_8308,plain,
and(t6,and(sum,Z)) = and(sum,and(t6,Z)),
inference(subst,[],[refute_0_4220:[bind(X,$fot(sum)),bind(X_669,$fot(t6))]]) ).
cnf(refute_0_8309,plain,
( and(sum,and(t6,Z)) != and(not(t7),Z)
| and(t6,and(sum,Z)) != and(sum,and(t6,Z))
| and(t6,and(sum,Z)) = and(not(t7),Z) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t6,and(sum,Z)))),bind(Y0,$fot(and(sum,and(t6,Z)))),bind(Z0,$fot(and(not(t7),Z)))]]) ).
cnf(refute_0_8310,plain,
( and(sum,and(t6,Z)) != and(not(t7),Z)
| and(t6,and(sum,Z)) = and(not(t7),Z) ),
inference(resolve,[$cnf( $equal(and(t6,and(sum,Z)),and(sum,and(t6,Z))) )],[refute_0_8308,refute_0_8309]) ).
cnf(refute_0_8311,plain,
and(t6,and(sum,Z)) = and(not(t7),Z),
inference(resolve,[$cnf( $equal(and(sum,and(t6,Z)),and(not(t7),Z)) )],[refute_0_8307,refute_0_8310]) ).
cnf(refute_0_8312,plain,
not(xor(t6,and(cin,sum))) = not(xor(t6,and(cin,sum))),
introduced(tautology,[refl,[$fot(not(xor(t6,and(cin,sum))))]]) ).
cnf(refute_0_8313,plain,
( not(xor(t6,and(cin,sum))) != not(xor(t6,and(cin,sum)))
| xor(t6,and(cin,sum)) != not(sum)
| not(xor(t6,and(cin,sum))) = not(not(sum)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t6,and(cin,sum))),not(xor(t6,and(cin,sum)))) ),[1,0],$fot(not(sum))]]) ).
cnf(refute_0_8314,plain,
( xor(t6,and(cin,sum)) != not(sum)
| not(xor(t6,and(cin,sum))) = not(not(sum)) ),
inference(resolve,[$cnf( $equal(not(xor(t6,and(cin,sum))),not(xor(t6,and(cin,sum)))) )],[refute_0_8312,refute_0_8313]) ).
cnf(refute_0_8315,plain,
not(xor(t6,and(cin,sum))) = not(not(sum)),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,sum)),not(sum)) )],[refute_0_7161,refute_0_8314]) ).
cnf(refute_0_8316,plain,
( not(not(sum)) != sum
| not(xor(t6,and(cin,sum))) != not(not(sum))
| not(xor(t6,and(cin,sum))) = sum ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t6,and(cin,sum))))),bind(Y0,$fot(not(not(sum)))),bind(Z0,$fot(sum))]]) ).
cnf(refute_0_8317,plain,
( not(not(sum)) != sum
| not(xor(t6,and(cin,sum))) = sum ),
inference(resolve,[$cnf( $equal(not(xor(t6,and(cin,sum))),not(not(sum))) )],[refute_0_8315,refute_0_8316]) ).
cnf(refute_0_8318,plain,
not(xor(t6,and(cin,sum))) = sum,
inference(resolve,[$cnf( $equal(not(not(sum)),sum) )],[refute_0_1149,refute_0_8317]) ).
cnf(refute_0_8319,plain,
and(not(xor(t6,and(cin,sum))),Z) = and(not(xor(t6,and(cin,sum))),Z),
introduced(tautology,[refl,[$fot(and(not(xor(t6,and(cin,sum))),Z))]]) ).
cnf(refute_0_8320,plain,
( and(not(xor(t6,and(cin,sum))),Z) != and(not(xor(t6,and(cin,sum))),Z)
| not(xor(t6,and(cin,sum))) != sum
| and(not(xor(t6,and(cin,sum))),Z) = and(sum,Z) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(xor(t6,and(cin,sum))),Z),and(not(xor(t6,and(cin,sum))),Z)) ),[1,0],$fot(sum)]]) ).
cnf(refute_0_8321,plain,
( not(xor(t6,and(cin,sum))) != sum
| and(not(xor(t6,and(cin,sum))),Z) = and(sum,Z) ),
inference(resolve,[$cnf( $equal(and(not(xor(t6,and(cin,sum))),Z),and(not(xor(t6,and(cin,sum))),Z)) )],[refute_0_8319,refute_0_8320]) ).
cnf(refute_0_8322,plain,
and(not(xor(t6,and(cin,sum))),Z) = and(sum,Z),
inference(resolve,[$cnf( $equal(not(xor(t6,and(cin,sum))),sum) )],[refute_0_8318,refute_0_8321]) ).
cnf(refute_0_8323,plain,
and(t6,and(not(xor(t6,and(cin,sum))),Z)) = and(t6,and(not(xor(t6,and(cin,sum))),Z)),
introduced(tautology,[refl,[$fot(and(t6,and(not(xor(t6,and(cin,sum))),Z)))]]) ).
cnf(refute_0_8324,plain,
( and(not(xor(t6,and(cin,sum))),Z) != and(sum,Z)
| and(t6,and(not(xor(t6,and(cin,sum))),Z)) != and(t6,and(not(xor(t6,and(cin,sum))),Z))
| and(t6,and(not(xor(t6,and(cin,sum))),Z)) = and(t6,and(sum,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,and(not(xor(t6,and(cin,sum))),Z)),and(t6,and(not(xor(t6,and(cin,sum))),Z))) ),[1,1],$fot(and(sum,Z))]]) ).
cnf(refute_0_8325,plain,
( and(not(xor(t6,and(cin,sum))),Z) != and(sum,Z)
| and(t6,and(not(xor(t6,and(cin,sum))),Z)) = and(t6,and(sum,Z)) ),
inference(resolve,[$cnf( $equal(and(t6,and(not(xor(t6,and(cin,sum))),Z)),and(t6,and(not(xor(t6,and(cin,sum))),Z))) )],[refute_0_8323,refute_0_8324]) ).
cnf(refute_0_8326,plain,
and(t6,and(not(xor(t6,and(cin,sum))),Z)) = and(t6,and(sum,Z)),
inference(resolve,[$cnf( $equal(and(not(xor(t6,and(cin,sum))),Z),and(sum,Z)) )],[refute_0_8322,refute_0_8325]) ).
cnf(refute_0_8327,plain,
( and(t6,and(not(xor(t6,and(cin,sum))),Z)) != and(t6,and(sum,Z))
| and(t6,and(sum,Z)) != and(not(t7),Z)
| and(t6,and(not(xor(t6,and(cin,sum))),Z)) = and(not(t7),Z) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t6,and(not(xor(t6,and(cin,sum))),Z)))),bind(Y0,$fot(and(t6,and(sum,Z)))),bind(Z0,$fot(and(not(t7),Z)))]]) ).
cnf(refute_0_8328,plain,
( and(t6,and(sum,Z)) != and(not(t7),Z)
| and(t6,and(not(xor(t6,and(cin,sum))),Z)) = and(not(t7),Z) ),
inference(resolve,[$cnf( $equal(and(t6,and(not(xor(t6,and(cin,sum))),Z)),and(t6,and(sum,Z))) )],[refute_0_8326,refute_0_8327]) ).
cnf(refute_0_8329,plain,
and(t6,and(not(xor(t6,and(cin,sum))),Z)) = and(not(t7),Z),
inference(resolve,[$cnf( $equal(and(t6,and(sum,Z)),and(not(t7),Z)) )],[refute_0_8311,refute_0_8328]) ).
cnf(refute_0_8330,plain,
( and(cin,and(sum,Z)) != and(t6,and(not(xor(t6,and(cin,sum))),Z))
| and(t6,and(not(xor(t6,and(cin,sum))),Z)) != and(not(t7),Z)
| and(cin,and(sum,Z)) = and(not(t7),Z) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(cin,and(sum,Z)),and(not(t7),Z)) ),[0],$fot(and(t6,and(not(xor(t6,and(cin,sum))),Z)))]]) ).
cnf(refute_0_8331,plain,
( and(cin,and(sum,Z)) != and(t6,and(not(xor(t6,and(cin,sum))),Z))
| and(cin,and(sum,Z)) = and(not(t7),Z) ),
inference(resolve,[$cnf( $equal(and(t6,and(not(xor(t6,and(cin,sum))),Z)),and(not(t7),Z)) )],[refute_0_8329,refute_0_8330]) ).
cnf(refute_0_8332,plain,
and(cin,and(sum,Z)) = and(not(t7),Z),
inference(resolve,[$cnf( $equal(and(cin,and(sum,Z)),and(t6,and(not(xor(t6,and(cin,sum))),Z))) )],[refute_0_8301,refute_0_8331]) ).
cnf(refute_0_8333,plain,
and(cin,and(sum,and(not(t4),X))) = and(not(t7),and(not(t4),X)),
inference(subst,[],[refute_0_8332:[bind(Z,$fot(and(not(t4),X)))]]) ).
cnf(refute_0_8334,plain,
( and(cin,and(sum,and(not(t4),X))) != and(not(t7),and(not(t4),X))
| and(not(t7),and(not(t4),X)) != and(not(or(t4,t7)),X)
| and(cin,and(sum,and(not(t4),X))) = and(not(or(t4,t7)),X) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(cin,and(sum,and(not(t4),X))))),bind(Y0,$fot(and(not(t7),and(not(t4),X)))),bind(Z0,$fot(and(not(or(t4,t7)),X)))]]) ).
cnf(refute_0_8335,plain,
( and(not(t7),and(not(t4),X)) != and(not(or(t4,t7)),X)
| and(cin,and(sum,and(not(t4),X))) = and(not(or(t4,t7)),X) ),
inference(resolve,[$cnf( $equal(and(cin,and(sum,and(not(t4),X))),and(not(t7),and(not(t4),X))) )],[refute_0_8333,refute_0_8334]) ).
cnf(refute_0_8336,plain,
and(cin,and(sum,and(not(t4),X))) = and(not(or(t4,t7)),X),
inference(resolve,[$cnf( $equal(and(not(t7),and(not(t4),X)),and(not(or(t4,t7)),X)) )],[refute_0_8293,refute_0_8335]) ).
cnf(refute_0_8337,plain,
( and(cin,and(sum,and(not(t4),X))) != and(not(or(t4,t7)),X)
| and(not(or(t4,t7)),X) != and(not(t7),X)
| and(cin,and(sum,and(not(t4),X))) = and(not(t7),X) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(cin,and(sum,and(not(t4),X))))),bind(Y0,$fot(and(not(or(t4,t7)),X))),bind(Z0,$fot(and(not(t7),X)))]]) ).
cnf(refute_0_8338,plain,
( and(not(or(t4,t7)),X) != and(not(t7),X)
| and(cin,and(sum,and(not(t4),X))) = and(not(t7),X) ),
inference(resolve,[$cnf( $equal(and(cin,and(sum,and(not(t4),X))),and(not(or(t4,t7)),X)) )],[refute_0_8336,refute_0_8337]) ).
cnf(refute_0_8339,plain,
and(cin,and(sum,and(not(t4),X))) = and(not(t7),X),
inference(resolve,[$cnf( $equal(and(not(or(t4,t7)),X),and(not(t7),X)) )],[refute_0_8278,refute_0_8338]) ).
cnf(refute_0_8340,plain,
( and(cin,and(sum,and(not(t4),X))) != and(X,not(t7))
| and(cin,and(sum,and(not(t4),X))) != and(not(t7),X)
| and(not(t7),X) = and(X,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,and(sum,and(not(t4),X))),and(X,not(t7))) ),[0],$fot(and(not(t7),X))]]) ).
cnf(refute_0_8341,plain,
( and(cin,and(sum,and(not(t4),X))) != and(X,not(t7))
| and(not(t7),X) = and(X,not(t7)) ),
inference(resolve,[$cnf( $equal(and(cin,and(sum,and(not(t4),X))),and(not(t7),X)) )],[refute_0_8339,refute_0_8340]) ).
cnf(refute_0_8342,plain,
and(not(t7),X) = and(X,not(t7)),
inference(resolve,[$cnf( $equal(and(cin,and(sum,and(not(t4),X))),and(X,not(t7))) )],[refute_0_8236,refute_0_8341]) ).
cnf(refute_0_8343,plain,
and(not(t7),carry) = and(carry,not(t7)),
inference(subst,[],[refute_0_8342:[bind(X,$fot(carry))]]) ).
cnf(refute_0_8344,plain,
or(t7,and(not(t7),carry)) = or(t7,and(not(t7),carry)),
introduced(tautology,[refl,[$fot(or(t7,and(not(t7),carry)))]]) ).
cnf(refute_0_8345,plain,
( and(not(t7),carry) != and(carry,not(t7))
| or(t7,and(not(t7),carry)) != or(t7,and(not(t7),carry))
| or(t7,and(not(t7),carry)) = or(t7,and(carry,not(t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,and(not(t7),carry)),or(t7,and(not(t7),carry))) ),[1,1],$fot(and(carry,not(t7)))]]) ).
cnf(refute_0_8346,plain,
( and(not(t7),carry) != and(carry,not(t7))
| or(t7,and(not(t7),carry)) = or(t7,and(carry,not(t7))) ),
inference(resolve,[$cnf( $equal(or(t7,and(not(t7),carry)),or(t7,and(not(t7),carry))) )],[refute_0_8344,refute_0_8345]) ).
cnf(refute_0_8347,plain,
or(t7,and(not(t7),carry)) = or(t7,and(carry,not(t7))),
inference(resolve,[$cnf( $equal(and(not(t7),carry),and(carry,not(t7))) )],[refute_0_8343,refute_0_8346]) ).
cnf(refute_0_8348,plain,
or(and(X,not(and(X_669,not(X)))),and(not(X),and(X_669,not(X)))) = xor(X,and(X_669,not(X))),
inference(subst,[],[refute_0_9:[bind(Y,$fot(and(X_669,not(X))))]]) ).
cnf(refute_0_8349,plain,
and(not(X),and(X_669,not(X))) = and(not(X),X_669),
inference(subst,[],[refute_0_4181:[bind(Y,$fot(X_669)),bind(X_22,$fot(not(X)))]]) ).
cnf(refute_0_8350,plain,
( and(not(X),and(X_669,not(X))) != and(not(X),X_669)
| or(and(X,not(and(X_669,not(X)))),and(not(X),and(X_669,not(X)))) != xor(X,and(X_669,not(X)))
| or(and(X,not(and(X_669,not(X)))),and(not(X),X_669)) = xor(X,and(X_669,not(X))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X,not(and(X_669,not(X)))),and(not(X),and(X_669,not(X)))),xor(X,and(X_669,not(X)))) ),[0,1],$fot(and(not(X),X_669))]]) ).
cnf(refute_0_8351,plain,
( or(and(X,not(and(X_669,not(X)))),and(not(X),and(X_669,not(X)))) != xor(X,and(X_669,not(X)))
| or(and(X,not(and(X_669,not(X)))),and(not(X),X_669)) = xor(X,and(X_669,not(X))) ),
inference(resolve,[$cnf( $equal(and(not(X),and(X_669,not(X))),and(not(X),X_669)) )],[refute_0_8349,refute_0_8350]) ).
cnf(refute_0_8352,plain,
or(and(X,not(and(X_669,not(X)))),and(not(X),X_669)) = xor(X,and(X_669,not(X))),
inference(resolve,[$cnf( $equal(or(and(X,not(and(X_669,not(X)))),and(not(X),and(X_669,not(X)))),xor(X,and(X_669,not(X)))) )],[refute_0_8348,refute_0_8351]) ).
cnf(refute_0_8353,plain,
or(and(not(X),X_669),X) = or(X,and(not(X),X_669)),
inference(subst,[],[refute_0_5:[bind(Y,$fot(and(not(X),X_669)))]]) ).
cnf(refute_0_8354,plain,
and(X,or(not(X_669),X)) = X,
inference(subst,[],[refute_0_214:[bind(X_19,$fot(X)),bind(X_20,$fot(not(X_669)))]]) ).
cnf(refute_0_8355,plain,
not(and(X_669,not(X))) = or(not(X_669),X),
inference(subst,[],[refute_0_435:[bind(X_29,$fot(X_669)),bind(X_30,$fot(X))]]) ).
cnf(refute_0_8356,plain,
and(X,not(and(X_669,not(X)))) = and(X,not(and(X_669,not(X)))),
introduced(tautology,[refl,[$fot(and(X,not(and(X_669,not(X)))))]]) ).
cnf(refute_0_8357,plain,
( and(X,not(and(X_669,not(X)))) != and(X,not(and(X_669,not(X))))
| not(and(X_669,not(X))) != or(not(X_669),X)
| and(X,not(and(X_669,not(X)))) = and(X,or(not(X_669),X)) ),
introduced(tautology,[equality,[$cnf( $equal(and(X,not(and(X_669,not(X)))),and(X,not(and(X_669,not(X))))) ),[1,1],$fot(or(not(X_669),X))]]) ).
cnf(refute_0_8358,plain,
( not(and(X_669,not(X))) != or(not(X_669),X)
| and(X,not(and(X_669,not(X)))) = and(X,or(not(X_669),X)) ),
inference(resolve,[$cnf( $equal(and(X,not(and(X_669,not(X)))),and(X,not(and(X_669,not(X))))) )],[refute_0_8356,refute_0_8357]) ).
cnf(refute_0_8359,plain,
and(X,not(and(X_669,not(X)))) = and(X,or(not(X_669),X)),
inference(resolve,[$cnf( $equal(not(and(X_669,not(X))),or(not(X_669),X)) )],[refute_0_8355,refute_0_8358]) ).
cnf(refute_0_8360,plain,
( and(X,not(and(X_669,not(X)))) != and(X,or(not(X_669),X))
| and(X,or(not(X_669),X)) != X
| and(X,not(and(X_669,not(X)))) = X ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(X,not(and(X_669,not(X)))))),bind(Y0,$fot(and(X,or(not(X_669),X)))),bind(Z0,$fot(X))]]) ).
cnf(refute_0_8361,plain,
( and(X,or(not(X_669),X)) != X
| and(X,not(and(X_669,not(X)))) = X ),
inference(resolve,[$cnf( $equal(and(X,not(and(X_669,not(X)))),and(X,or(not(X_669),X))) )],[refute_0_8359,refute_0_8360]) ).
cnf(refute_0_8362,plain,
and(X,not(and(X_669,not(X)))) = X,
inference(resolve,[$cnf( $equal(and(X,or(not(X_669),X)),X) )],[refute_0_8354,refute_0_8361]) ).
cnf(refute_0_8363,plain,
or(and(not(X),X_669),and(X,not(and(X_669,not(X))))) = or(and(not(X),X_669),and(X,not(and(X_669,not(X))))),
introduced(tautology,[refl,[$fot(or(and(not(X),X_669),and(X,not(and(X_669,not(X))))))]]) ).
cnf(refute_0_8364,plain,
( and(X,not(and(X_669,not(X)))) != X
| or(and(not(X),X_669),and(X,not(and(X_669,not(X))))) != or(and(not(X),X_669),and(X,not(and(X_669,not(X)))))
| or(and(not(X),X_669),and(X,not(and(X_669,not(X))))) = or(and(not(X),X_669),X) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(not(X),X_669),and(X,not(and(X_669,not(X))))),or(and(not(X),X_669),and(X,not(and(X_669,not(X)))))) ),[1,1],$fot(X)]]) ).
cnf(refute_0_8365,plain,
( and(X,not(and(X_669,not(X)))) != X
| or(and(not(X),X_669),and(X,not(and(X_669,not(X))))) = or(and(not(X),X_669),X) ),
inference(resolve,[$cnf( $equal(or(and(not(X),X_669),and(X,not(and(X_669,not(X))))),or(and(not(X),X_669),and(X,not(and(X_669,not(X)))))) )],[refute_0_8363,refute_0_8364]) ).
cnf(refute_0_8366,plain,
or(and(not(X),X_669),and(X,not(and(X_669,not(X))))) = or(and(not(X),X_669),X),
inference(resolve,[$cnf( $equal(and(X,not(and(X_669,not(X)))),X) )],[refute_0_8362,refute_0_8365]) ).
cnf(refute_0_8367,plain,
( or(and(not(X),X_669),X) != or(X,and(not(X),X_669))
| or(and(not(X),X_669),and(X,not(and(X_669,not(X))))) != or(and(not(X),X_669),X)
| or(and(not(X),X_669),and(X,not(and(X_669,not(X))))) = or(X,and(not(X),X_669)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(not(X),X_669),and(X,not(and(X_669,not(X))))))),bind(Y0,$fot(or(and(not(X),X_669),X))),bind(Z0,$fot(or(X,and(not(X),X_669))))]]) ).
cnf(refute_0_8368,plain,
( or(and(not(X),X_669),X) != or(X,and(not(X),X_669))
| or(and(not(X),X_669),and(X,not(and(X_669,not(X))))) = or(X,and(not(X),X_669)) ),
inference(resolve,[$cnf( $equal(or(and(not(X),X_669),and(X,not(and(X_669,not(X))))),or(and(not(X),X_669),X)) )],[refute_0_8366,refute_0_8367]) ).
cnf(refute_0_8369,plain,
or(and(not(X),X_669),and(X,not(and(X_669,not(X))))) = or(X,and(not(X),X_669)),
inference(resolve,[$cnf( $equal(or(and(not(X),X_669),X),or(X,and(not(X),X_669))) )],[refute_0_8353,refute_0_8368]) ).
cnf(refute_0_8370,plain,
or(and(X,not(and(X_669,not(X)))),and(not(X),X_669)) = or(and(not(X),X_669),and(X,not(and(X_669,not(X))))),
inference(subst,[],[refute_0_5:[bind(X,$fot(and(not(X),X_669))),bind(Y,$fot(and(X,not(and(X_669,not(X))))))]]) ).
cnf(refute_0_8371,plain,
( or(and(X,not(and(X_669,not(X)))),and(not(X),X_669)) != or(and(not(X),X_669),and(X,not(and(X_669,not(X)))))
| or(and(not(X),X_669),and(X,not(and(X_669,not(X))))) != or(X,and(not(X),X_669))
| or(and(X,not(and(X_669,not(X)))),and(not(X),X_669)) = or(X,and(not(X),X_669)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(X,not(and(X_669,not(X)))),and(not(X),X_669)))),bind(Y0,$fot(or(and(not(X),X_669),and(X,not(and(X_669,not(X))))))),bind(Z0,$fot(or(X,and(not(X),X_669))))]]) ).
cnf(refute_0_8372,plain,
( or(and(not(X),X_669),and(X,not(and(X_669,not(X))))) != or(X,and(not(X),X_669))
| or(and(X,not(and(X_669,not(X)))),and(not(X),X_669)) = or(X,and(not(X),X_669)) ),
inference(resolve,[$cnf( $equal(or(and(X,not(and(X_669,not(X)))),and(not(X),X_669)),or(and(not(X),X_669),and(X,not(and(X_669,not(X)))))) )],[refute_0_8370,refute_0_8371]) ).
cnf(refute_0_8373,plain,
or(and(X,not(and(X_669,not(X)))),and(not(X),X_669)) = or(X,and(not(X),X_669)),
inference(resolve,[$cnf( $equal(or(and(not(X),X_669),and(X,not(and(X_669,not(X))))),or(X,and(not(X),X_669))) )],[refute_0_8369,refute_0_8372]) ).
cnf(refute_0_8374,plain,
( or(and(X,not(and(X_669,not(X)))),and(not(X),X_669)) != or(X,and(not(X),X_669))
| or(and(X,not(and(X_669,not(X)))),and(not(X),X_669)) != xor(X,and(X_669,not(X)))
| or(X,and(not(X),X_669)) = xor(X,and(X_669,not(X))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X,not(and(X_669,not(X)))),and(not(X),X_669)),xor(X,and(X_669,not(X)))) ),[0],$fot(or(X,and(not(X),X_669)))]]) ).
cnf(refute_0_8375,plain,
( or(and(X,not(and(X_669,not(X)))),and(not(X),X_669)) != xor(X,and(X_669,not(X)))
| or(X,and(not(X),X_669)) = xor(X,and(X_669,not(X))) ),
inference(resolve,[$cnf( $equal(or(and(X,not(and(X_669,not(X)))),and(not(X),X_669)),or(X,and(not(X),X_669))) )],[refute_0_8373,refute_0_8374]) ).
cnf(refute_0_8376,plain,
or(X,and(not(X),X_669)) = xor(X,and(X_669,not(X))),
inference(resolve,[$cnf( $equal(or(and(X,not(and(X_669,not(X)))),and(not(X),X_669)),xor(X,and(X_669,not(X)))) )],[refute_0_8352,refute_0_8375]) ).
cnf(refute_0_8377,plain,
( or(X,and(not(X),X_669)) != xor(X,and(X_669,not(X)))
| xor(X,and(X_669,not(X))) = or(X,and(not(X),X_669)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(X,and(not(X),X_669)))),bind(Y0,$fot(xor(X,and(X_669,not(X)))))]]) ).
cnf(refute_0_8378,plain,
xor(X,and(X_669,not(X))) = or(X,and(not(X),X_669)),
inference(resolve,[$cnf( $equal(or(X,and(not(X),X_669)),xor(X,and(X_669,not(X)))) )],[refute_0_8376,refute_0_8377]) ).
cnf(refute_0_8379,plain,
xor(t7,and(carry,not(t7))) = or(t7,and(not(t7),carry)),
inference(subst,[],[refute_0_8378:[bind(X,$fot(t7)),bind(X_669,$fot(carry))]]) ).
cnf(refute_0_8380,plain,
( or(t7,and(not(t7),carry)) != or(t7,and(carry,not(t7)))
| xor(t7,and(carry,not(t7))) != or(t7,and(not(t7),carry))
| xor(t7,and(carry,not(t7))) = or(t7,and(carry,not(t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t7,and(carry,not(t7))))),bind(Y0,$fot(or(t7,and(not(t7),carry)))),bind(Z0,$fot(or(t7,and(carry,not(t7)))))]]) ).
cnf(refute_0_8381,plain,
( or(t7,and(not(t7),carry)) != or(t7,and(carry,not(t7)))
| xor(t7,and(carry,not(t7))) = or(t7,and(carry,not(t7))) ),
inference(resolve,[$cnf( $equal(xor(t7,and(carry,not(t7))),or(t7,and(not(t7),carry))) )],[refute_0_8379,refute_0_8380]) ).
cnf(refute_0_8382,plain,
xor(t7,and(carry,not(t7))) = or(t7,and(carry,not(t7))),
inference(resolve,[$cnf( $equal(or(t7,and(not(t7),carry)),or(t7,and(carry,not(t7)))) )],[refute_0_8347,refute_0_8381]) ).
cnf(refute_0_8383,plain,
( xor(sum,and(t6,or(t7,not(carry)))) != xor(t7,and(carry,not(t7)))
| xor(t7,and(carry,not(t7))) != or(t7,and(carry,not(t7)))
| xor(sum,and(t6,or(t7,not(carry)))) = or(t7,and(carry,not(t7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(sum,and(t6,or(t7,not(carry)))),or(t7,and(carry,not(t7)))) ),[0],$fot(xor(t7,and(carry,not(t7))))]]) ).
cnf(refute_0_8384,plain,
( xor(sum,and(t6,or(t7,not(carry)))) != xor(t7,and(carry,not(t7)))
| xor(sum,and(t6,or(t7,not(carry)))) = or(t7,and(carry,not(t7))) ),
inference(resolve,[$cnf( $equal(xor(t7,and(carry,not(t7))),or(t7,and(carry,not(t7)))) )],[refute_0_8382,refute_0_8383]) ).
cnf(refute_0_8385,plain,
xor(sum,and(t6,or(t7,not(carry)))) = or(t7,and(carry,not(t7))),
inference(resolve,[$cnf( $equal(xor(sum,and(t6,or(t7,not(carry)))),xor(t7,and(carry,not(t7)))) )],[refute_0_8145,refute_0_8384]) ).
cnf(refute_0_8386,plain,
( xor(sum,and(t6,or(t7,not(carry)))) != or(t7,and(carry,not(t7)))
| xor(sum,xor(sum,and(t6,or(t7,not(carry))))) != and(t6,or(t7,not(carry)))
| xor(sum,or(t7,and(carry,not(t7)))) = and(t6,or(t7,not(carry))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,xor(sum,and(t6,or(t7,not(carry))))),and(t6,or(t7,not(carry)))) ),[0,1],$fot(or(t7,and(carry,not(t7))))]]) ).
cnf(refute_0_8387,plain,
( xor(sum,xor(sum,and(t6,or(t7,not(carry))))) != and(t6,or(t7,not(carry)))
| xor(sum,or(t7,and(carry,not(t7)))) = and(t6,or(t7,not(carry))) ),
inference(resolve,[$cnf( $equal(xor(sum,and(t6,or(t7,not(carry)))),or(t7,and(carry,not(t7)))) )],[refute_0_8385,refute_0_8386]) ).
cnf(refute_0_8388,plain,
xor(sum,or(t7,and(carry,not(t7)))) = and(t6,or(t7,not(carry))),
inference(resolve,[$cnf( $equal(xor(sum,xor(sum,and(t6,or(t7,not(carry))))),and(t6,or(t7,not(carry)))) )],[refute_0_8141,refute_0_8387]) ).
cnf(refute_0_8389,plain,
or(t7,carry) = or(carry,t7),
inference(subst,[],[refute_0_5:[bind(X,$fot(carry)),bind(Y,$fot(t7))]]) ).
cnf(refute_0_8390,plain,
( or(carry,t7) != or(a,t7)
| or(t7,carry) != or(carry,t7)
| or(t7,carry) = or(a,t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t7,carry))),bind(Y0,$fot(or(carry,t7))),bind(Z0,$fot(or(a,t7)))]]) ).
cnf(refute_0_8391,plain,
( or(carry,t7) != or(a,t7)
| or(t7,carry) = or(a,t7) ),
inference(resolve,[$cnf( $equal(or(t7,carry),or(carry,t7)) )],[refute_0_8389,refute_0_8390]) ).
cnf(refute_0_8392,plain,
or(t7,carry) = or(a,t7),
inference(resolve,[$cnf( $equal(or(carry,t7),or(a,t7)) )],[refute_0_2743,refute_0_8391]) ).
cnf(refute_0_8393,plain,
or(X_818,and(X_819,not(X_818))) = and(or(X_818,X_819),or(X_818,not(X_818))),
inference(subst,[],[and_distributive:[bind(X,$fot(X_818)),bind(Y,$fot(X_819)),bind(Z,$fot(not(X_818)))]]) ).
cnf(refute_0_8394,plain,
or(X_818,not(X_818)) = ll1,
inference(subst,[],[or_complement:[bind(X,$fot(X_818))]]) ).
cnf(refute_0_8395,plain,
( or(X_818,and(X_819,not(X_818))) != and(or(X_818,X_819),or(X_818,not(X_818)))
| or(X_818,not(X_818)) != ll1
| or(X_818,and(X_819,not(X_818))) = and(or(X_818,X_819),ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(X_818,and(X_819,not(X_818))),and(or(X_818,X_819),or(X_818,not(X_818)))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_8396,plain,
( or(X_818,and(X_819,not(X_818))) != and(or(X_818,X_819),or(X_818,not(X_818)))
| or(X_818,and(X_819,not(X_818))) = and(or(X_818,X_819),ll1) ),
inference(resolve,[$cnf( $equal(or(X_818,not(X_818)),ll1) )],[refute_0_8394,refute_0_8395]) ).
cnf(refute_0_8397,plain,
or(X_818,and(X_819,not(X_818))) = and(or(X_818,X_819),ll1),
inference(resolve,[$cnf( $equal(or(X_818,and(X_819,not(X_818))),and(or(X_818,X_819),or(X_818,not(X_818)))) )],[refute_0_8393,refute_0_8396]) ).
cnf(refute_0_8398,plain,
and(ll1,or(X_818,X_819)) = or(X_818,X_819),
inference(subst,[],[refute_0_64:[bind(X,$fot(or(X_818,X_819)))]]) ).
cnf(refute_0_8399,plain,
and(or(X_818,X_819),ll1) = and(ll1,or(X_818,X_819)),
inference(subst,[],[refute_0_4252:[bind(X_14,$fot(ll1)),bind(X_669,$fot(or(X_818,X_819)))]]) ).
cnf(refute_0_8400,plain,
( and(ll1,or(X_818,X_819)) != or(X_818,X_819)
| and(or(X_818,X_819),ll1) != and(ll1,or(X_818,X_819))
| and(or(X_818,X_819),ll1) = or(X_818,X_819) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(or(X_818,X_819),ll1))),bind(Y0,$fot(and(ll1,or(X_818,X_819)))),bind(Z0,$fot(or(X_818,X_819)))]]) ).
cnf(refute_0_8401,plain,
( and(ll1,or(X_818,X_819)) != or(X_818,X_819)
| and(or(X_818,X_819),ll1) = or(X_818,X_819) ),
inference(resolve,[$cnf( $equal(and(or(X_818,X_819),ll1),and(ll1,or(X_818,X_819))) )],[refute_0_8399,refute_0_8400]) ).
cnf(refute_0_8402,plain,
and(or(X_818,X_819),ll1) = or(X_818,X_819),
inference(resolve,[$cnf( $equal(and(ll1,or(X_818,X_819)),or(X_818,X_819)) )],[refute_0_8398,refute_0_8401]) ).
cnf(refute_0_8403,plain,
( and(or(X_818,X_819),ll1) != or(X_818,X_819)
| or(X_818,and(X_819,not(X_818))) != and(or(X_818,X_819),ll1)
| or(X_818,and(X_819,not(X_818))) = or(X_818,X_819) ),
introduced(tautology,[equality,[$cnf( $equal(or(X_818,and(X_819,not(X_818))),and(or(X_818,X_819),ll1)) ),[1],$fot(or(X_818,X_819))]]) ).
cnf(refute_0_8404,plain,
( or(X_818,and(X_819,not(X_818))) != and(or(X_818,X_819),ll1)
| or(X_818,and(X_819,not(X_818))) = or(X_818,X_819) ),
inference(resolve,[$cnf( $equal(and(or(X_818,X_819),ll1),or(X_818,X_819)) )],[refute_0_8402,refute_0_8403]) ).
cnf(refute_0_8405,plain,
or(X_818,and(X_819,not(X_818))) = or(X_818,X_819),
inference(resolve,[$cnf( $equal(or(X_818,and(X_819,not(X_818))),and(or(X_818,X_819),ll1)) )],[refute_0_8397,refute_0_8404]) ).
cnf(refute_0_8406,plain,
or(t7,and(carry,not(t7))) = or(t7,carry),
inference(subst,[],[refute_0_8405:[bind(X_818,$fot(t7)),bind(X_819,$fot(carry))]]) ).
cnf(refute_0_8407,plain,
( or(t7,and(carry,not(t7))) != or(t7,carry)
| or(t7,carry) != or(a,t7)
| or(t7,and(carry,not(t7))) = or(a,t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t7,and(carry,not(t7))))),bind(Y0,$fot(or(t7,carry))),bind(Z0,$fot(or(a,t7)))]]) ).
cnf(refute_0_8408,plain,
( or(t7,carry) != or(a,t7)
| or(t7,and(carry,not(t7))) = or(a,t7) ),
inference(resolve,[$cnf( $equal(or(t7,and(carry,not(t7))),or(t7,carry)) )],[refute_0_8406,refute_0_8407]) ).
cnf(refute_0_8409,plain,
or(t7,and(carry,not(t7))) = or(a,t7),
inference(resolve,[$cnf( $equal(or(t7,carry),or(a,t7)) )],[refute_0_8392,refute_0_8408]) ).
cnf(refute_0_8410,plain,
xor(sum,or(t7,and(carry,not(t7)))) = xor(sum,or(t7,and(carry,not(t7)))),
introduced(tautology,[refl,[$fot(xor(sum,or(t7,and(carry,not(t7)))))]]) ).
cnf(refute_0_8411,plain,
( or(t7,and(carry,not(t7))) != or(a,t7)
| xor(sum,or(t7,and(carry,not(t7)))) != xor(sum,or(t7,and(carry,not(t7))))
| xor(sum,or(t7,and(carry,not(t7)))) = xor(sum,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,or(t7,and(carry,not(t7)))),xor(sum,or(t7,and(carry,not(t7))))) ),[1,1],$fot(or(a,t7))]]) ).
cnf(refute_0_8412,plain,
( or(t7,and(carry,not(t7))) != or(a,t7)
| xor(sum,or(t7,and(carry,not(t7)))) = xor(sum,or(a,t7)) ),
inference(resolve,[$cnf( $equal(xor(sum,or(t7,and(carry,not(t7)))),xor(sum,or(t7,and(carry,not(t7))))) )],[refute_0_8410,refute_0_8411]) ).
cnf(refute_0_8413,plain,
xor(sum,or(t7,and(carry,not(t7)))) = xor(sum,or(a,t7)),
inference(resolve,[$cnf( $equal(or(t7,and(carry,not(t7))),or(a,t7)) )],[refute_0_8409,refute_0_8412]) ).
cnf(refute_0_8414,plain,
( xor(sum,or(t7,and(carry,not(t7)))) != and(t6,or(t7,not(carry)))
| xor(sum,or(t7,and(carry,not(t7)))) != xor(sum,or(a,t7))
| xor(sum,or(a,t7)) = and(t6,or(t7,not(carry))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,or(t7,and(carry,not(t7)))),and(t6,or(t7,not(carry)))) ),[0],$fot(xor(sum,or(a,t7)))]]) ).
cnf(refute_0_8415,plain,
( xor(sum,or(t7,and(carry,not(t7)))) != and(t6,or(t7,not(carry)))
| xor(sum,or(a,t7)) = and(t6,or(t7,not(carry))) ),
inference(resolve,[$cnf( $equal(xor(sum,or(t7,and(carry,not(t7)))),xor(sum,or(a,t7))) )],[refute_0_8413,refute_0_8414]) ).
cnf(refute_0_8416,plain,
xor(sum,or(a,t7)) = and(t6,or(t7,not(carry))),
inference(resolve,[$cnf( $equal(xor(sum,or(t7,and(carry,not(t7)))),and(t6,or(t7,not(carry)))) )],[refute_0_8388,refute_0_8415]) ).
cnf(refute_0_8417,plain,
( xor(sum,or(a,t7)) != and(t6,or(t7,not(carry)))
| and(t6,or(t7,not(carry))) = xor(sum,or(a,t7)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(sum,or(a,t7)))),bind(Y0,$fot(and(t6,or(t7,not(carry)))))]]) ).
cnf(refute_0_8418,plain,
and(t6,or(t7,not(carry))) = xor(sum,or(a,t7)),
inference(resolve,[$cnf( $equal(xor(sum,or(a,t7)),and(t6,or(t7,not(carry)))) )],[refute_0_8416,refute_0_8417]) ).
cnf(refute_0_8419,plain,
xor(t6,and(t6,or(t7,not(carry)))) = xor(t6,and(t6,or(t7,not(carry)))),
introduced(tautology,[refl,[$fot(xor(t6,and(t6,or(t7,not(carry)))))]]) ).
cnf(refute_0_8420,plain,
( and(t6,or(t7,not(carry))) != xor(sum,or(a,t7))
| xor(t6,and(t6,or(t7,not(carry)))) != xor(t6,and(t6,or(t7,not(carry))))
| xor(t6,and(t6,or(t7,not(carry)))) = xor(t6,xor(sum,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,and(t6,or(t7,not(carry)))),xor(t6,and(t6,or(t7,not(carry))))) ),[1,1],$fot(xor(sum,or(a,t7)))]]) ).
cnf(refute_0_8421,plain,
( and(t6,or(t7,not(carry))) != xor(sum,or(a,t7))
| xor(t6,and(t6,or(t7,not(carry)))) = xor(t6,xor(sum,or(a,t7))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(t6,or(t7,not(carry)))),xor(t6,and(t6,or(t7,not(carry))))) )],[refute_0_8419,refute_0_8420]) ).
cnf(refute_0_8422,plain,
xor(t6,and(t6,or(t7,not(carry)))) = xor(t6,xor(sum,or(a,t7))),
inference(resolve,[$cnf( $equal(and(t6,or(t7,not(carry))),xor(sum,or(a,t7))) )],[refute_0_8418,refute_0_8421]) ).
cnf(refute_0_8423,plain,
( xor(t6,and(t6,or(t7,not(carry)))) != xor(t6,xor(sum,or(a,t7)))
| xor(t6,xor(sum,or(a,t7))) != xor(t7,or(a,t7))
| xor(t6,and(t6,or(t7,not(carry)))) = xor(t7,or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,and(t6,or(t7,not(carry)))))),bind(Y0,$fot(xor(t6,xor(sum,or(a,t7))))),bind(Z0,$fot(xor(t7,or(a,t7))))]]) ).
cnf(refute_0_8424,plain,
( xor(t6,xor(sum,or(a,t7))) != xor(t7,or(a,t7))
| xor(t6,and(t6,or(t7,not(carry)))) = xor(t7,or(a,t7)) ),
inference(resolve,[$cnf( $equal(xor(t6,and(t6,or(t7,not(carry)))),xor(t6,xor(sum,or(a,t7)))) )],[refute_0_8422,refute_0_8423]) ).
cnf(refute_0_8425,plain,
xor(t6,and(t6,or(t7,not(carry)))) = xor(t7,or(a,t7)),
inference(resolve,[$cnf( $equal(xor(t6,xor(sum,or(a,t7))),xor(t7,or(a,t7))) )],[refute_0_8140,refute_0_8424]) ).
cnf(refute_0_8426,plain,
( xor(t6,and(t6,or(t7,not(carry)))) != and(carry,not(t7))
| xor(t6,and(t6,or(t7,not(carry)))) != xor(t7,or(a,t7))
| xor(t7,or(a,t7)) = and(carry,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,and(t6,or(t7,not(carry)))),and(carry,not(t7))) ),[0],$fot(xor(t7,or(a,t7)))]]) ).
cnf(refute_0_8427,plain,
( xor(t6,and(t6,or(t7,not(carry)))) != and(carry,not(t7))
| xor(t7,or(a,t7)) = and(carry,not(t7)) ),
inference(resolve,[$cnf( $equal(xor(t6,and(t6,or(t7,not(carry)))),xor(t7,or(a,t7))) )],[refute_0_8425,refute_0_8426]) ).
cnf(refute_0_8428,plain,
xor(t7,or(a,t7)) = and(carry,not(t7)),
inference(resolve,[$cnf( $equal(xor(t6,and(t6,or(t7,not(carry)))),and(carry,not(t7))) )],[refute_0_8135,refute_0_8427]) ).
cnf(refute_0_8429,plain,
not(xor(t7,or(a,t7))) = not(xor(t7,or(a,t7))),
introduced(tautology,[refl,[$fot(not(xor(t7,or(a,t7))))]]) ).
cnf(refute_0_8430,plain,
( not(xor(t7,or(a,t7))) != not(xor(t7,or(a,t7)))
| xor(t7,or(a,t7)) != and(carry,not(t7))
| not(xor(t7,or(a,t7))) = not(and(carry,not(t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t7,or(a,t7))),not(xor(t7,or(a,t7)))) ),[1,0],$fot(and(carry,not(t7)))]]) ).
cnf(refute_0_8431,plain,
( xor(t7,or(a,t7)) != and(carry,not(t7))
| not(xor(t7,or(a,t7))) = not(and(carry,not(t7))) ),
inference(resolve,[$cnf( $equal(not(xor(t7,or(a,t7))),not(xor(t7,or(a,t7)))) )],[refute_0_8429,refute_0_8430]) ).
cnf(refute_0_8432,plain,
not(xor(t7,or(a,t7))) = not(and(carry,not(t7))),
inference(resolve,[$cnf( $equal(xor(t7,or(a,t7)),and(carry,not(t7))) )],[refute_0_8428,refute_0_8431]) ).
cnf(refute_0_8433,plain,
( not(and(carry,not(t7))) != or(t7,not(carry))
| not(xor(t7,or(a,t7))) != not(and(carry,not(t7)))
| not(xor(t7,or(a,t7))) = or(t7,not(carry)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t7,or(a,t7))))),bind(Y0,$fot(not(and(carry,not(t7))))),bind(Z0,$fot(or(t7,not(carry))))]]) ).
cnf(refute_0_8434,plain,
( not(and(carry,not(t7))) != or(t7,not(carry))
| not(xor(t7,or(a,t7))) = or(t7,not(carry)) ),
inference(resolve,[$cnf( $equal(not(xor(t7,or(a,t7))),not(and(carry,not(t7)))) )],[refute_0_8432,refute_0_8433]) ).
cnf(refute_0_8435,plain,
not(xor(t7,or(a,t7))) = or(t7,not(carry)),
inference(resolve,[$cnf( $equal(not(and(carry,not(t7))),or(t7,not(carry))) )],[refute_0_7986,refute_0_8434]) ).
cnf(refute_0_8436,plain,
and(sum,not(xor(t7,or(a,t7)))) = and(sum,not(xor(t7,or(a,t7)))),
introduced(tautology,[refl,[$fot(and(sum,not(xor(t7,or(a,t7)))))]]) ).
cnf(refute_0_8437,plain,
( and(sum,not(xor(t7,or(a,t7)))) != and(sum,not(xor(t7,or(a,t7))))
| not(xor(t7,or(a,t7))) != or(t7,not(carry))
| and(sum,not(xor(t7,or(a,t7)))) = and(sum,or(t7,not(carry))) ),
introduced(tautology,[equality,[$cnf( $equal(and(sum,not(xor(t7,or(a,t7)))),and(sum,not(xor(t7,or(a,t7))))) ),[1,1],$fot(or(t7,not(carry)))]]) ).
cnf(refute_0_8438,plain,
( not(xor(t7,or(a,t7))) != or(t7,not(carry))
| and(sum,not(xor(t7,or(a,t7)))) = and(sum,or(t7,not(carry))) ),
inference(resolve,[$cnf( $equal(and(sum,not(xor(t7,or(a,t7)))),and(sum,not(xor(t7,or(a,t7))))) )],[refute_0_8436,refute_0_8437]) ).
cnf(refute_0_8439,plain,
and(sum,not(xor(t7,or(a,t7)))) = and(sum,or(t7,not(carry))),
inference(resolve,[$cnf( $equal(not(xor(t7,or(a,t7))),or(t7,not(carry))) )],[refute_0_8435,refute_0_8438]) ).
cnf(refute_0_8440,plain,
( and(sum,not(xor(t7,or(a,t7)))) != and(sum,or(t7,not(carry)))
| and(sum,or(t7,not(carry))) != and(sum,t1)
| and(sum,not(xor(t7,or(a,t7)))) = and(sum,t1) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(sum,not(xor(t7,or(a,t7)))))),bind(Y0,$fot(and(sum,or(t7,not(carry))))),bind(Z0,$fot(and(sum,t1)))]]) ).
cnf(refute_0_8441,plain,
( and(sum,or(t7,not(carry))) != and(sum,t1)
| and(sum,not(xor(t7,or(a,t7)))) = and(sum,t1) ),
inference(resolve,[$cnf( $equal(and(sum,not(xor(t7,or(a,t7)))),and(sum,or(t7,not(carry)))) )],[refute_0_8439,refute_0_8440]) ).
cnf(refute_0_8442,plain,
and(sum,not(xor(t7,or(a,t7)))) = and(sum,t1),
inference(resolve,[$cnf( $equal(and(sum,or(t7,not(carry))),and(sum,t1)) )],[refute_0_7981,refute_0_8441]) ).
cnf(refute_0_8443,plain,
( and(sum,not(xor(t7,or(a,t7)))) != and(sum,t1)
| and(sum,not(xor(t7,or(a,t7)))) != xor(t6,or(a,t7))
| and(sum,t1) = xor(t6,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(sum,not(xor(t7,or(a,t7)))),xor(t6,or(a,t7))) ),[0],$fot(and(sum,t1))]]) ).
cnf(refute_0_8444,plain,
( and(sum,not(xor(t7,or(a,t7)))) != xor(t6,or(a,t7))
| and(sum,t1) = xor(t6,or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(sum,not(xor(t7,or(a,t7)))),and(sum,t1)) )],[refute_0_8442,refute_0_8443]) ).
cnf(refute_0_8445,plain,
and(sum,t1) = xor(t6,or(a,t7)),
inference(resolve,[$cnf( $equal(and(sum,not(xor(t7,or(a,t7)))),xor(t6,or(a,t7))) )],[refute_0_7872,refute_0_8444]) ).
cnf(refute_0_8446,plain,
( and(sum,t1) != xor(t6,or(a,t7))
| xor(t6,or(a,t7)) = and(sum,t1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(sum,t1))),bind(Y0,$fot(xor(t6,or(a,t7))))]]) ).
cnf(refute_0_8447,plain,
xor(t6,or(a,t7)) = and(sum,t1),
inference(resolve,[$cnf( $equal(and(sum,t1),xor(t6,or(a,t7))) )],[refute_0_8445,refute_0_8446]) ).
cnf(refute_0_8448,plain,
and(xor(t6,or(a,t7)),X) = and(xor(t6,or(a,t7)),X),
introduced(tautology,[refl,[$fot(and(xor(t6,or(a,t7)),X))]]) ).
cnf(refute_0_8449,plain,
( and(xor(t6,or(a,t7)),X) != and(xor(t6,or(a,t7)),X)
| xor(t6,or(a,t7)) != and(sum,t1)
| and(xor(t6,or(a,t7)),X) = and(and(sum,t1),X) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t6,or(a,t7)),X),and(xor(t6,or(a,t7)),X)) ),[1,0],$fot(and(sum,t1))]]) ).
cnf(refute_0_8450,plain,
( xor(t6,or(a,t7)) != and(sum,t1)
| and(xor(t6,or(a,t7)),X) = and(and(sum,t1),X) ),
inference(resolve,[$cnf( $equal(and(xor(t6,or(a,t7)),X),and(xor(t6,or(a,t7)),X)) )],[refute_0_8448,refute_0_8449]) ).
cnf(refute_0_8451,plain,
and(xor(t6,or(a,t7)),X) = and(and(sum,t1),X),
inference(resolve,[$cnf( $equal(xor(t6,or(a,t7)),and(sum,t1)) )],[refute_0_8447,refute_0_8450]) ).
cnf(refute_0_8452,plain,
( and(and(sum,t1),X) != and(sum,and(t1,X))
| and(xor(t6,or(a,t7)),X) != and(and(sum,t1),X)
| and(xor(t6,or(a,t7)),X) = and(sum,and(t1,X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(xor(t6,or(a,t7)),X))),bind(Y0,$fot(and(and(sum,t1),X))),bind(Z0,$fot(and(sum,and(t1,X))))]]) ).
cnf(refute_0_8453,plain,
( and(and(sum,t1),X) != and(sum,and(t1,X))
| and(xor(t6,or(a,t7)),X) = and(sum,and(t1,X)) ),
inference(resolve,[$cnf( $equal(and(xor(t6,or(a,t7)),X),and(and(sum,t1),X)) )],[refute_0_8451,refute_0_8452]) ).
cnf(refute_0_8454,plain,
and(xor(t6,or(a,t7)),X) = and(sum,and(t1,X)),
inference(resolve,[$cnf( $equal(and(and(sum,t1),X),and(sum,and(t1,X))) )],[refute_0_7674,refute_0_8453]) ).
cnf(refute_0_8455,plain,
and(t1,and(xor(t6,or(a,t7)),X)) = and(t1,and(xor(t6,or(a,t7)),X)),
introduced(tautology,[refl,[$fot(and(t1,and(xor(t6,or(a,t7)),X)))]]) ).
cnf(refute_0_8456,plain,
( and(t1,and(xor(t6,or(a,t7)),X)) != and(t1,and(xor(t6,or(a,t7)),X))
| and(xor(t6,or(a,t7)),X) != and(sum,and(t1,X))
| and(t1,and(xor(t6,or(a,t7)),X)) = and(t1,and(sum,and(t1,X))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,and(xor(t6,or(a,t7)),X)),and(t1,and(xor(t6,or(a,t7)),X))) ),[1,1],$fot(and(sum,and(t1,X)))]]) ).
cnf(refute_0_8457,plain,
( and(xor(t6,or(a,t7)),X) != and(sum,and(t1,X))
| and(t1,and(xor(t6,or(a,t7)),X)) = and(t1,and(sum,and(t1,X))) ),
inference(resolve,[$cnf( $equal(and(t1,and(xor(t6,or(a,t7)),X)),and(t1,and(xor(t6,or(a,t7)),X))) )],[refute_0_8455,refute_0_8456]) ).
cnf(refute_0_8458,plain,
and(t1,and(xor(t6,or(a,t7)),X)) = and(t1,and(sum,and(t1,X))),
inference(resolve,[$cnf( $equal(and(xor(t6,or(a,t7)),X),and(sum,and(t1,X))) )],[refute_0_8454,refute_0_8457]) ).
cnf(refute_0_8459,plain,
( and(t1,and(sum,and(t1,X))) != and(sum,and(t1,X))
| and(t1,and(xor(t6,or(a,t7)),X)) != and(t1,and(sum,and(t1,X)))
| and(t1,and(xor(t6,or(a,t7)),X)) = and(sum,and(t1,X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t1,and(xor(t6,or(a,t7)),X)))),bind(Y0,$fot(and(t1,and(sum,and(t1,X))))),bind(Z0,$fot(and(sum,and(t1,X))))]]) ).
cnf(refute_0_8460,plain,
( and(t1,and(sum,and(t1,X))) != and(sum,and(t1,X))
| and(t1,and(xor(t6,or(a,t7)),X)) = and(sum,and(t1,X)) ),
inference(resolve,[$cnf( $equal(and(t1,and(xor(t6,or(a,t7)),X)),and(t1,and(sum,and(t1,X)))) )],[refute_0_8458,refute_0_8459]) ).
cnf(refute_0_8461,plain,
and(t1,and(xor(t6,or(a,t7)),X)) = and(sum,and(t1,X)),
inference(resolve,[$cnf( $equal(and(t1,and(sum,and(t1,X))),and(sum,and(t1,X))) )],[refute_0_7673,refute_0_8460]) ).
cnf(refute_0_8462,plain,
( and(t1,and(xor(t6,or(a,t7)),X)) != and(X,and(t1,xor(t6,or(a,t7))))
| and(t1,and(xor(t6,or(a,t7)),X)) != and(sum,and(t1,X))
| and(sum,and(t1,X)) = and(X,and(t1,xor(t6,or(a,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,and(xor(t6,or(a,t7)),X)),and(X,and(t1,xor(t6,or(a,t7))))) ),[0],$fot(and(sum,and(t1,X)))]]) ).
cnf(refute_0_8463,plain,
( and(t1,and(xor(t6,or(a,t7)),X)) != and(X,and(t1,xor(t6,or(a,t7))))
| and(sum,and(t1,X)) = and(X,and(t1,xor(t6,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(and(t1,and(xor(t6,or(a,t7)),X)),and(sum,and(t1,X))) )],[refute_0_8461,refute_0_8462]) ).
cnf(refute_0_8464,plain,
and(t1,t1) = t1,
inference(subst,[],[and_idempotent:[bind(X,$fot(t1))]]) ).
cnf(refute_0_8465,plain,
and(sum,and(t1,t1)) = and(sum,and(t1,t1)),
introduced(tautology,[refl,[$fot(and(sum,and(t1,t1)))]]) ).
cnf(refute_0_8466,plain,
( and(sum,and(t1,t1)) != and(sum,and(t1,t1))
| and(t1,t1) != t1
| and(sum,and(t1,t1)) = and(sum,t1) ),
introduced(tautology,[equality,[$cnf( $equal(and(sum,and(t1,t1)),and(sum,and(t1,t1))) ),[1,1],$fot(t1)]]) ).
cnf(refute_0_8467,plain,
( and(t1,t1) != t1
| and(sum,and(t1,t1)) = and(sum,t1) ),
inference(resolve,[$cnf( $equal(and(sum,and(t1,t1)),and(sum,and(t1,t1))) )],[refute_0_8465,refute_0_8466]) ).
cnf(refute_0_8468,plain,
and(sum,and(t1,t1)) = and(sum,t1),
inference(resolve,[$cnf( $equal(and(t1,t1),t1) )],[refute_0_8464,refute_0_8467]) ).
cnf(refute_0_8469,plain,
and(t1,and(sum,t1)) = and(sum,and(t1,t1)),
inference(subst,[],[refute_0_4220:[bind(X,$fot(sum)),bind(Z,$fot(t1)),bind(X_669,$fot(t1))]]) ).
cnf(refute_0_8470,plain,
( and(sum,and(t1,t1)) != and(sum,t1)
| and(t1,and(sum,t1)) != and(sum,and(t1,t1))
| and(t1,and(sum,t1)) = and(sum,t1) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t1,and(sum,t1)))),bind(Y0,$fot(and(sum,and(t1,t1)))),bind(Z0,$fot(and(sum,t1)))]]) ).
cnf(refute_0_8471,plain,
( and(sum,and(t1,t1)) != and(sum,t1)
| and(t1,and(sum,t1)) = and(sum,t1) ),
inference(resolve,[$cnf( $equal(and(t1,and(sum,t1)),and(sum,and(t1,t1))) )],[refute_0_8469,refute_0_8470]) ).
cnf(refute_0_8472,plain,
and(t1,and(sum,t1)) = and(sum,t1),
inference(resolve,[$cnf( $equal(and(sum,and(t1,t1)),and(sum,t1)) )],[refute_0_8468,refute_0_8471]) ).
cnf(refute_0_8473,plain,
and(t1,xor(t6,or(a,t7))) = and(t1,xor(t6,or(a,t7))),
introduced(tautology,[refl,[$fot(and(t1,xor(t6,or(a,t7))))]]) ).
cnf(refute_0_8474,plain,
( and(t1,xor(t6,or(a,t7))) != and(t1,xor(t6,or(a,t7)))
| xor(t6,or(a,t7)) != and(sum,t1)
| and(t1,xor(t6,or(a,t7))) = and(t1,and(sum,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,xor(t6,or(a,t7))),and(t1,xor(t6,or(a,t7)))) ),[1,1],$fot(and(sum,t1))]]) ).
cnf(refute_0_8475,plain,
( xor(t6,or(a,t7)) != and(sum,t1)
| and(t1,xor(t6,or(a,t7))) = and(t1,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(and(t1,xor(t6,or(a,t7))),and(t1,xor(t6,or(a,t7)))) )],[refute_0_8473,refute_0_8474]) ).
cnf(refute_0_8476,plain,
and(t1,xor(t6,or(a,t7))) = and(t1,and(sum,t1)),
inference(resolve,[$cnf( $equal(xor(t6,or(a,t7)),and(sum,t1)) )],[refute_0_8447,refute_0_8475]) ).
cnf(refute_0_8477,plain,
( and(t1,and(sum,t1)) != and(sum,t1)
| and(t1,xor(t6,or(a,t7))) != and(t1,and(sum,t1))
| and(t1,xor(t6,or(a,t7))) = and(sum,t1) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t1,xor(t6,or(a,t7))))),bind(Y0,$fot(and(t1,and(sum,t1)))),bind(Z0,$fot(and(sum,t1)))]]) ).
cnf(refute_0_8478,plain,
( and(t1,and(sum,t1)) != and(sum,t1)
| and(t1,xor(t6,or(a,t7))) = and(sum,t1) ),
inference(resolve,[$cnf( $equal(and(t1,xor(t6,or(a,t7))),and(t1,and(sum,t1))) )],[refute_0_8476,refute_0_8477]) ).
cnf(refute_0_8479,plain,
and(t1,xor(t6,or(a,t7))) = and(sum,t1),
inference(resolve,[$cnf( $equal(and(t1,and(sum,t1)),and(sum,t1)) )],[refute_0_8472,refute_0_8478]) ).
cnf(refute_0_8480,plain,
and(X,and(t1,xor(t6,or(a,t7)))) = and(X,and(t1,xor(t6,or(a,t7)))),
introduced(tautology,[refl,[$fot(and(X,and(t1,xor(t6,or(a,t7)))))]]) ).
cnf(refute_0_8481,plain,
( and(X,and(t1,xor(t6,or(a,t7)))) != and(X,and(t1,xor(t6,or(a,t7))))
| and(t1,xor(t6,or(a,t7))) != and(sum,t1)
| and(X,and(t1,xor(t6,or(a,t7)))) = and(X,and(sum,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(and(X,and(t1,xor(t6,or(a,t7)))),and(X,and(t1,xor(t6,or(a,t7))))) ),[1,1],$fot(and(sum,t1))]]) ).
cnf(refute_0_8482,plain,
( and(t1,xor(t6,or(a,t7))) != and(sum,t1)
| and(X,and(t1,xor(t6,or(a,t7)))) = and(X,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(and(X,and(t1,xor(t6,or(a,t7)))),and(X,and(t1,xor(t6,or(a,t7))))) )],[refute_0_8480,refute_0_8481]) ).
cnf(refute_0_8483,plain,
and(X,and(t1,xor(t6,or(a,t7)))) = and(X,and(sum,t1)),
inference(resolve,[$cnf( $equal(and(t1,xor(t6,or(a,t7))),and(sum,t1)) )],[refute_0_8479,refute_0_8482]) ).
cnf(refute_0_8484,plain,
( and(X,and(t1,xor(t6,or(a,t7)))) != and(X,and(sum,t1))
| and(sum,and(t1,X)) != and(X,and(t1,xor(t6,or(a,t7))))
| and(sum,and(t1,X)) = and(X,and(sum,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(and(sum,and(t1,X)),and(X,and(t1,xor(t6,or(a,t7))))) ),[1],$fot(and(X,and(sum,t1)))]]) ).
cnf(refute_0_8485,plain,
( and(sum,and(t1,X)) != and(X,and(t1,xor(t6,or(a,t7))))
| and(sum,and(t1,X)) = and(X,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(and(X,and(t1,xor(t6,or(a,t7)))),and(X,and(sum,t1))) )],[refute_0_8483,refute_0_8484]) ).
cnf(refute_0_8486,plain,
( and(t1,and(xor(t6,or(a,t7)),X)) != and(X,and(t1,xor(t6,or(a,t7))))
| and(sum,and(t1,X)) = and(X,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(and(sum,and(t1,X)),and(X,and(t1,xor(t6,or(a,t7))))) )],[refute_0_8463,refute_0_8485]) ).
cnf(refute_0_8487,plain,
and(sum,and(t1,X)) = and(X,and(sum,t1)),
inference(resolve,[$cnf( $equal(and(t1,and(xor(t6,or(a,t7)),X)),and(X,and(t1,xor(t6,or(a,t7))))) )],[refute_0_7664,refute_0_8486]) ).
cnf(refute_0_8488,plain,
( and(sum,and(t1,X)) != and(X,and(sum,t1))
| and(X,and(sum,t1)) = and(sum,and(t1,X)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(sum,and(t1,X)))),bind(Y0,$fot(and(X,and(sum,t1))))]]) ).
cnf(refute_0_8489,plain,
and(X,and(sum,t1)) = and(sum,and(t1,X)),
inference(resolve,[$cnf( $equal(and(sum,and(t1,X)),and(X,and(sum,t1))) )],[refute_0_8487,refute_0_8488]) ).
cnf(refute_0_8490,plain,
and(t6,and(sum,t1)) = and(sum,and(t1,t6)),
inference(subst,[],[refute_0_8489:[bind(X,$fot(t6))]]) ).
cnf(refute_0_8491,plain,
not(not(and(sum,t1))) = and(sum,t1),
inference(subst,[],[not_involution:[bind(X,$fot(and(sum,t1)))]]) ).
cnf(refute_0_8492,plain,
and(t6,or(or(t4,xor(t7,or(carry,t7))),not(cin))) = xor(t6,and(cin,not(or(t4,xor(t7,or(carry,t7)))))),
inference(subst,[],[refute_0_7533:[bind(X,$fot(or(t4,xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_8493,plain,
and(not(t4),not(xor(t7,or(carry,t7)))) = and(t5,and(t6,not(xor(t7,or(carry,t7))))),
inference(subst,[],[refute_0_5450:[bind(Z,$fot(not(xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_8494,plain,
or(and(t6,not(xor(t7,or(carry,t7)))),and(not(t6),xor(t7,or(carry,t7)))) = xor(t6,xor(t7,or(carry,t7))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t6)),bind(Y,$fot(xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_8495,plain,
and(or(t6,not(xor(t7,or(carry,t7)))),not(or(not(xor(t7,or(carry,t7))),t6))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(not(xor(t7,or(carry,t7))))),bind(X_28,$fot(t6))]]) ).
cnf(refute_0_8496,plain,
or(or(t6,t7),Z) = or(t6,or(t7,Z)),
inference(subst,[],[or_associative:[bind(X,$fot(t6)),bind(Y,$fot(t7))]]) ).
cnf(refute_0_8497,plain,
( or(or(t6,t7),Z) != or(t6,or(t7,Z))
| or(t6,t7) != ll1
| or(ll1,Z) = or(t6,or(t7,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t6,t7),Z),or(t6,or(t7,Z))) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_8498,plain,
( or(or(t6,t7),Z) != or(t6,or(t7,Z))
| or(ll1,Z) = or(t6,or(t7,Z)) ),
inference(resolve,[$cnf( $equal(or(t6,t7),ll1) )],[refute_0_753,refute_0_8497]) ).
cnf(refute_0_8499,plain,
or(ll1,Z) = or(t6,or(t7,Z)),
inference(resolve,[$cnf( $equal(or(or(t6,t7),Z),or(t6,or(t7,Z))) )],[refute_0_8496,refute_0_8498]) ).
cnf(refute_0_8500,plain,
( or(ll1,Z) != ll1
| or(ll1,Z) != or(t6,or(t7,Z))
| ll1 = or(t6,or(t7,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll1,Z),or(t6,or(t7,Z))) ),[0],$fot(ll1)]]) ).
cnf(refute_0_8501,plain,
( or(ll1,Z) != or(t6,or(t7,Z))
| ll1 = or(t6,or(t7,Z)) ),
inference(resolve,[$cnf( $equal(or(ll1,Z),ll1) )],[refute_0_6102,refute_0_8500]) ).
cnf(refute_0_8502,plain,
ll1 = or(t6,or(t7,Z)),
inference(resolve,[$cnf( $equal(or(ll1,Z),or(t6,or(t7,Z))) )],[refute_0_8499,refute_0_8501]) ).
cnf(refute_0_8503,plain,
ll1 = or(t6,or(t7,not(or(carry,t7)))),
inference(subst,[],[refute_0_8502:[bind(Z,$fot(not(or(carry,t7))))]]) ).
cnf(refute_0_8504,plain,
( ll1 != or(t6,or(t7,not(or(carry,t7))))
| or(t7,not(or(carry,t7))) != not(xor(t7,or(carry,t7)))
| ll1 = or(t6,not(xor(t7,or(carry,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t6,or(t7,not(or(carry,t7))))) ),[1,1],$fot(not(xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_8505,plain,
( ll1 != or(t6,or(t7,not(or(carry,t7))))
| ll1 = or(t6,not(xor(t7,or(carry,t7)))) ),
inference(resolve,[$cnf( $equal(or(t7,not(or(carry,t7))),not(xor(t7,or(carry,t7)))) )],[refute_0_7821,refute_0_8504]) ).
cnf(refute_0_8506,plain,
ll1 = or(t6,not(xor(t7,or(carry,t7)))),
inference(resolve,[$cnf( $equal(ll1,or(t6,or(t7,not(or(carry,t7))))) )],[refute_0_8503,refute_0_8505]) ).
cnf(refute_0_8507,plain,
( ll1 != or(t6,not(xor(t7,or(carry,t7))))
| or(t6,not(xor(t7,or(carry,t7)))) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(t6,not(xor(t7,or(carry,t7))))))]]) ).
cnf(refute_0_8508,plain,
or(t6,not(xor(t7,or(carry,t7)))) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(t6,not(xor(t7,or(carry,t7))))) )],[refute_0_8506,refute_0_8507]) ).
cnf(refute_0_8509,plain,
( and(or(t6,not(xor(t7,or(carry,t7)))),not(or(not(xor(t7,or(carry,t7))),t6))) != ll0
| or(t6,not(xor(t7,or(carry,t7)))) != ll1
| and(ll1,not(or(not(xor(t7,or(carry,t7))),t6))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(t6,not(xor(t7,or(carry,t7)))),not(or(not(xor(t7,or(carry,t7))),t6))),ll0) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_8510,plain,
( and(or(t6,not(xor(t7,or(carry,t7)))),not(or(not(xor(t7,or(carry,t7))),t6))) != ll0
| and(ll1,not(or(not(xor(t7,or(carry,t7))),t6))) = ll0 ),
inference(resolve,[$cnf( $equal(or(t6,not(xor(t7,or(carry,t7)))),ll1) )],[refute_0_8508,refute_0_8509]) ).
cnf(refute_0_8511,plain,
and(ll1,not(or(not(xor(t7,or(carry,t7))),t6))) = ll0,
inference(resolve,[$cnf( $equal(and(or(t6,not(xor(t7,or(carry,t7)))),not(or(not(xor(t7,or(carry,t7))),t6))),ll0) )],[refute_0_8495,refute_0_8510]) ).
cnf(refute_0_8512,plain,
not(or(t6,not(xor(t7,or(carry,t7))))) = and(not(t6),xor(t7,or(carry,t7))),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(t7,or(carry,t7)))),bind(X_25,$fot(t6))]]) ).
cnf(refute_0_8513,plain,
and(ll1,not(or(t6,not(xor(t7,or(carry,t7)))))) = not(or(t6,not(xor(t7,or(carry,t7))))),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(or(t6,not(xor(t7,or(carry,t7)))))))]]) ).
cnf(refute_0_8514,plain,
( and(ll1,not(or(t6,not(xor(t7,or(carry,t7)))))) != not(or(t6,not(xor(t7,or(carry,t7)))))
| not(or(t6,not(xor(t7,or(carry,t7))))) != and(not(t6),xor(t7,or(carry,t7)))
| and(ll1,not(or(t6,not(xor(t7,or(carry,t7)))))) = and(not(t6),xor(t7,or(carry,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(t6,not(xor(t7,or(carry,t7)))))))),bind(Y0,$fot(not(or(t6,not(xor(t7,or(carry,t7))))))),bind(Z0,$fot(and(not(t6),xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_8515,plain,
( not(or(t6,not(xor(t7,or(carry,t7))))) != and(not(t6),xor(t7,or(carry,t7)))
| and(ll1,not(or(t6,not(xor(t7,or(carry,t7)))))) = and(not(t6),xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t6,not(xor(t7,or(carry,t7)))))),not(or(t6,not(xor(t7,or(carry,t7)))))) )],[refute_0_8513,refute_0_8514]) ).
cnf(refute_0_8516,plain,
and(ll1,not(or(t6,not(xor(t7,or(carry,t7)))))) = and(not(t6),xor(t7,or(carry,t7))),
inference(resolve,[$cnf( $equal(not(or(t6,not(xor(t7,or(carry,t7))))),and(not(t6),xor(t7,or(carry,t7)))) )],[refute_0_8512,refute_0_8515]) ).
cnf(refute_0_8517,plain,
and(ll1,not(or(not(xor(t7,or(carry,t7))),t6))) = and(ll1,not(or(t6,not(xor(t7,or(carry,t7)))))),
inference(subst,[],[refute_0_815:[bind(X_25,$fot(t6)),bind(X_26,$fot(not(xor(t7,or(carry,t7))))),bind(X_29,$fot(ll1))]]) ).
cnf(refute_0_8518,plain,
( and(ll1,not(or(not(xor(t7,or(carry,t7))),t6))) != and(ll1,not(or(t6,not(xor(t7,or(carry,t7))))))
| and(ll1,not(or(t6,not(xor(t7,or(carry,t7)))))) != and(not(t6),xor(t7,or(carry,t7)))
| and(ll1,not(or(not(xor(t7,or(carry,t7))),t6))) = and(not(t6),xor(t7,or(carry,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(xor(t7,or(carry,t7))),t6))))),bind(Y0,$fot(and(ll1,not(or(t6,not(xor(t7,or(carry,t7)))))))),bind(Z0,$fot(and(not(t6),xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_8519,plain,
( and(ll1,not(or(t6,not(xor(t7,or(carry,t7)))))) != and(not(t6),xor(t7,or(carry,t7)))
| and(ll1,not(or(not(xor(t7,or(carry,t7))),t6))) = and(not(t6),xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t7,or(carry,t7))),t6))),and(ll1,not(or(t6,not(xor(t7,or(carry,t7))))))) )],[refute_0_8517,refute_0_8518]) ).
cnf(refute_0_8520,plain,
and(ll1,not(or(not(xor(t7,or(carry,t7))),t6))) = and(not(t6),xor(t7,or(carry,t7))),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t6,not(xor(t7,or(carry,t7)))))),and(not(t6),xor(t7,or(carry,t7)))) )],[refute_0_8516,refute_0_8519]) ).
cnf(refute_0_8521,plain,
( and(ll1,not(or(not(xor(t7,or(carry,t7))),t6))) != and(not(t6),xor(t7,or(carry,t7)))
| and(ll1,not(or(not(xor(t7,or(carry,t7))),t6))) != ll0
| and(not(t6),xor(t7,or(carry,t7))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(ll1,not(or(not(xor(t7,or(carry,t7))),t6))),ll0) ),[0],$fot(and(not(t6),xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_8522,plain,
( and(ll1,not(or(not(xor(t7,or(carry,t7))),t6))) != ll0
| and(not(t6),xor(t7,or(carry,t7))) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t7,or(carry,t7))),t6))),and(not(t6),xor(t7,or(carry,t7)))) )],[refute_0_8520,refute_0_8521]) ).
cnf(refute_0_8523,plain,
and(not(t6),xor(t7,or(carry,t7))) = ll0,
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t7,or(carry,t7))),t6))),ll0) )],[refute_0_8511,refute_0_8522]) ).
cnf(refute_0_8524,plain,
( and(not(t6),xor(t7,or(carry,t7))) != ll0
| or(and(t6,not(xor(t7,or(carry,t7)))),and(not(t6),xor(t7,or(carry,t7)))) != xor(t6,xor(t7,or(carry,t7)))
| or(and(t6,not(xor(t7,or(carry,t7)))),ll0) = xor(t6,xor(t7,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,not(xor(t7,or(carry,t7)))),and(not(t6),xor(t7,or(carry,t7)))),xor(t6,xor(t7,or(carry,t7)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_8525,plain,
( or(and(t6,not(xor(t7,or(carry,t7)))),and(not(t6),xor(t7,or(carry,t7)))) != xor(t6,xor(t7,or(carry,t7)))
| or(and(t6,not(xor(t7,or(carry,t7)))),ll0) = xor(t6,xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(not(t6),xor(t7,or(carry,t7))),ll0) )],[refute_0_8523,refute_0_8524]) ).
cnf(refute_0_8526,plain,
or(and(t6,not(xor(t7,or(carry,t7)))),ll0) = xor(t6,xor(t7,or(carry,t7))),
inference(resolve,[$cnf( $equal(or(and(t6,not(xor(t7,or(carry,t7)))),and(not(t6),xor(t7,or(carry,t7)))),xor(t6,xor(t7,or(carry,t7)))) )],[refute_0_8494,refute_0_8525]) ).
cnf(refute_0_8527,plain,
or(and(t6,not(xor(t7,or(carry,t7)))),ll0) = and(t6,not(xor(t7,or(carry,t7)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t6,not(xor(t7,or(carry,t7))))))]]) ).
cnf(refute_0_8528,plain,
( or(and(t6,not(xor(t7,or(carry,t7)))),ll0) != and(t6,not(xor(t7,or(carry,t7))))
| or(and(t6,not(xor(t7,or(carry,t7)))),ll0) != xor(t6,xor(t7,or(carry,t7)))
| and(t6,not(xor(t7,or(carry,t7)))) = xor(t6,xor(t7,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,not(xor(t7,or(carry,t7)))),ll0),xor(t6,xor(t7,or(carry,t7)))) ),[0],$fot(and(t6,not(xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_8529,plain,
( or(and(t6,not(xor(t7,or(carry,t7)))),ll0) != xor(t6,xor(t7,or(carry,t7)))
| and(t6,not(xor(t7,or(carry,t7)))) = xor(t6,xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(or(and(t6,not(xor(t7,or(carry,t7)))),ll0),and(t6,not(xor(t7,or(carry,t7))))) )],[refute_0_8527,refute_0_8528]) ).
cnf(refute_0_8530,plain,
xor(t6,xor(t7,or(carry,t7))) = xor(sum,or(carry,t7)),
inference(subst,[],[refute_0_6195:[bind(Y,$fot(or(carry,t7)))]]) ).
cnf(refute_0_8531,plain,
( and(t6,not(xor(t7,or(carry,t7)))) != xor(t6,xor(t7,or(carry,t7)))
| xor(t6,xor(t7,or(carry,t7))) != xor(sum,or(carry,t7))
| and(t6,not(xor(t7,or(carry,t7)))) = xor(sum,or(carry,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,not(xor(t7,or(carry,t7)))),xor(sum,or(carry,t7))) ),[0],$fot(xor(t6,xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_8532,plain,
( and(t6,not(xor(t7,or(carry,t7)))) != xor(t6,xor(t7,or(carry,t7)))
| and(t6,not(xor(t7,or(carry,t7)))) = xor(sum,or(carry,t7)) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(t7,or(carry,t7))),xor(sum,or(carry,t7))) )],[refute_0_8530,refute_0_8531]) ).
cnf(refute_0_8533,plain,
( or(and(t6,not(xor(t7,or(carry,t7)))),ll0) != xor(t6,xor(t7,or(carry,t7)))
| and(t6,not(xor(t7,or(carry,t7)))) = xor(sum,or(carry,t7)) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(t7,or(carry,t7)))),xor(t6,xor(t7,or(carry,t7)))) )],[refute_0_8529,refute_0_8532]) ).
cnf(refute_0_8534,plain,
and(t6,not(xor(t7,or(carry,t7)))) = xor(sum,or(carry,t7)),
inference(resolve,[$cnf( $equal(or(and(t6,not(xor(t7,or(carry,t7)))),ll0),xor(t6,xor(t7,or(carry,t7)))) )],[refute_0_8526,refute_0_8533]) ).
cnf(refute_0_8535,plain,
( and(not(t4),not(xor(t7,or(carry,t7)))) != and(t5,and(t6,not(xor(t7,or(carry,t7)))))
| and(t6,not(xor(t7,or(carry,t7)))) != xor(sum,or(carry,t7))
| and(not(t4),not(xor(t7,or(carry,t7)))) = and(t5,xor(sum,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),not(xor(t7,or(carry,t7)))),and(t5,and(t6,not(xor(t7,or(carry,t7)))))) ),[1,1],$fot(xor(sum,or(carry,t7)))]]) ).
cnf(refute_0_8536,plain,
( and(not(t4),not(xor(t7,or(carry,t7)))) != and(t5,and(t6,not(xor(t7,or(carry,t7)))))
| and(not(t4),not(xor(t7,or(carry,t7)))) = and(t5,xor(sum,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(t7,or(carry,t7)))),xor(sum,or(carry,t7))) )],[refute_0_8534,refute_0_8535]) ).
cnf(refute_0_8537,plain,
and(not(t4),not(xor(t7,or(carry,t7)))) = and(t5,xor(sum,or(carry,t7))),
inference(resolve,[$cnf( $equal(and(not(t4),not(xor(t7,or(carry,t7)))),and(t5,and(t6,not(xor(t7,or(carry,t7)))))) )],[refute_0_8493,refute_0_8536]) ).
cnf(refute_0_8538,plain,
and(not(t4),not(xor(t7,or(carry,t7)))) = not(or(t4,xor(t7,or(carry,t7)))),
inference(subst,[],[refute_0_101:[bind(X,$fot(t4)),bind(Y,$fot(xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_8539,plain,
( and(not(t4),not(xor(t7,or(carry,t7)))) != and(t5,xor(sum,or(carry,t7)))
| and(not(t4),not(xor(t7,or(carry,t7)))) != not(or(t4,xor(t7,or(carry,t7))))
| not(or(t4,xor(t7,or(carry,t7)))) = and(t5,xor(sum,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),not(xor(t7,or(carry,t7)))),and(t5,xor(sum,or(carry,t7)))) ),[0],$fot(not(or(t4,xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_8540,plain,
( and(not(t4),not(xor(t7,or(carry,t7)))) != and(t5,xor(sum,or(carry,t7)))
| not(or(t4,xor(t7,or(carry,t7)))) = and(t5,xor(sum,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(not(t4),not(xor(t7,or(carry,t7)))),not(or(t4,xor(t7,or(carry,t7))))) )],[refute_0_8538,refute_0_8539]) ).
cnf(refute_0_8541,plain,
not(or(t4,xor(t7,or(carry,t7)))) = and(t5,xor(sum,or(carry,t7))),
inference(resolve,[$cnf( $equal(and(not(t4),not(xor(t7,or(carry,t7)))),and(t5,xor(sum,or(carry,t7)))) )],[refute_0_8537,refute_0_8540]) ).
cnf(refute_0_8542,plain,
( and(t6,or(or(t4,xor(t7,or(carry,t7))),not(cin))) != xor(t6,and(cin,not(or(t4,xor(t7,or(carry,t7))))))
| not(or(t4,xor(t7,or(carry,t7)))) != and(t5,xor(sum,or(carry,t7)))
| and(t6,or(or(t4,xor(t7,or(carry,t7))),not(cin))) = xor(t6,and(cin,and(t5,xor(sum,or(carry,t7))))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(or(t4,xor(t7,or(carry,t7))),not(cin))),xor(t6,and(cin,not(or(t4,xor(t7,or(carry,t7))))))) ),[1,1,1],$fot(and(t5,xor(sum,or(carry,t7))))]]) ).
cnf(refute_0_8543,plain,
( and(t6,or(or(t4,xor(t7,or(carry,t7))),not(cin))) != xor(t6,and(cin,not(or(t4,xor(t7,or(carry,t7))))))
| and(t6,or(or(t4,xor(t7,or(carry,t7))),not(cin))) = xor(t6,and(cin,and(t5,xor(sum,or(carry,t7))))) ),
inference(resolve,[$cnf( $equal(not(or(t4,xor(t7,or(carry,t7)))),and(t5,xor(sum,or(carry,t7)))) )],[refute_0_8541,refute_0_8542]) ).
cnf(refute_0_8544,plain,
and(t6,or(or(t4,xor(t7,or(carry,t7))),not(cin))) = xor(t6,and(cin,and(t5,xor(sum,or(carry,t7))))),
inference(resolve,[$cnf( $equal(and(t6,or(or(t4,xor(t7,or(carry,t7))),not(cin))),xor(t6,and(cin,not(or(t4,xor(t7,or(carry,t7))))))) )],[refute_0_8492,refute_0_8543]) ).
cnf(refute_0_8545,plain,
or(and(t7,not(xor(t7,or(carry,and(t5,t7))))),and(not(t7),xor(t7,or(carry,and(t5,t7))))) = xor(t7,xor(t7,or(carry,and(t5,t7)))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t7)),bind(Y,$fot(xor(t7,or(carry,and(t5,t7)))))]]) ).
cnf(refute_0_8546,plain,
not(or(xor(t7,or(carry,and(t5,t7))),not(t7))) = not(or(not(t7),xor(t7,or(carry,and(t5,t7))))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(not(t7))),bind(X_26,$fot(xor(t7,or(carry,and(t5,t7)))))]]) ).
cnf(refute_0_8547,plain,
or(not(t7),and(not(t7),or(carry,and(t5,t7)))) = not(t7),
inference(subst,[],[or_absorption:[bind(X,$fot(not(t7))),bind(Y,$fot(or(carry,and(t5,t7))))]]) ).
cnf(refute_0_8548,plain,
( and(not(t7),or(carry,and(t5,t7))) != xor(t7,or(carry,and(t5,t7)))
| or(not(t7),and(not(t7),or(carry,and(t5,t7)))) != not(t7)
| or(not(t7),xor(t7,or(carry,and(t5,t7)))) = not(t7) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t7),and(not(t7),or(carry,and(t5,t7)))),not(t7)) ),[0,1],$fot(xor(t7,or(carry,and(t5,t7))))]]) ).
cnf(refute_0_8549,plain,
( or(not(t7),and(not(t7),or(carry,and(t5,t7)))) != not(t7)
| or(not(t7),xor(t7,or(carry,and(t5,t7)))) = not(t7) ),
inference(resolve,[$cnf( $equal(and(not(t7),or(carry,and(t5,t7))),xor(t7,or(carry,and(t5,t7)))) )],[refute_0_7745,refute_0_8548]) ).
cnf(refute_0_8550,plain,
or(not(t7),xor(t7,or(carry,and(t5,t7)))) = not(t7),
inference(resolve,[$cnf( $equal(or(not(t7),and(not(t7),or(carry,and(t5,t7)))),not(t7)) )],[refute_0_8547,refute_0_8549]) ).
cnf(refute_0_8551,plain,
( not(or(xor(t7,or(carry,and(t5,t7))),not(t7))) != not(or(not(t7),xor(t7,or(carry,and(t5,t7)))))
| or(not(t7),xor(t7,or(carry,and(t5,t7)))) != not(t7)
| not(or(xor(t7,or(carry,and(t5,t7))),not(t7))) = not(not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(t7,or(carry,and(t5,t7))),not(t7))),not(or(not(t7),xor(t7,or(carry,and(t5,t7)))))) ),[1,0],$fot(not(t7))]]) ).
cnf(refute_0_8552,plain,
( not(or(xor(t7,or(carry,and(t5,t7))),not(t7))) != not(or(not(t7),xor(t7,or(carry,and(t5,t7)))))
| not(or(xor(t7,or(carry,and(t5,t7))),not(t7))) = not(not(t7)) ),
inference(resolve,[$cnf( $equal(or(not(t7),xor(t7,or(carry,and(t5,t7)))),not(t7)) )],[refute_0_8550,refute_0_8551]) ).
cnf(refute_0_8553,plain,
not(or(xor(t7,or(carry,and(t5,t7))),not(t7))) = not(not(t7)),
inference(resolve,[$cnf( $equal(not(or(xor(t7,or(carry,and(t5,t7))),not(t7))),not(or(not(t7),xor(t7,or(carry,and(t5,t7)))))) )],[refute_0_8546,refute_0_8552]) ).
cnf(refute_0_8554,plain,
and(not(xor(t7,or(carry,and(t5,t7)))),t7) = and(t7,not(xor(t7,or(carry,and(t5,t7))))),
inference(subst,[],[refute_0_116:[bind(X,$fot(t7)),bind(Y,$fot(not(xor(t7,or(carry,and(t5,t7))))))]]) ).
cnf(refute_0_8555,plain,
not(or(xor(t7,or(carry,and(t5,t7))),not(t7))) = and(not(xor(t7,or(carry,and(t5,t7)))),t7),
inference(subst,[],[refute_0_801:[bind(X,$fot(t7)),bind(X_25,$fot(xor(t7,or(carry,and(t5,t7)))))]]) ).
cnf(refute_0_8556,plain,
( and(not(xor(t7,or(carry,and(t5,t7)))),t7) != and(t7,not(xor(t7,or(carry,and(t5,t7)))))
| not(or(xor(t7,or(carry,and(t5,t7))),not(t7))) != and(not(xor(t7,or(carry,and(t5,t7)))),t7)
| not(or(xor(t7,or(carry,and(t5,t7))),not(t7))) = and(t7,not(xor(t7,or(carry,and(t5,t7))))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(xor(t7,or(carry,and(t5,t7))),not(t7))))),bind(Y0,$fot(and(not(xor(t7,or(carry,and(t5,t7)))),t7))),bind(Z0,$fot(and(t7,not(xor(t7,or(carry,and(t5,t7)))))))]]) ).
cnf(refute_0_8557,plain,
( and(not(xor(t7,or(carry,and(t5,t7)))),t7) != and(t7,not(xor(t7,or(carry,and(t5,t7)))))
| not(or(xor(t7,or(carry,and(t5,t7))),not(t7))) = and(t7,not(xor(t7,or(carry,and(t5,t7))))) ),
inference(resolve,[$cnf( $equal(not(or(xor(t7,or(carry,and(t5,t7))),not(t7))),and(not(xor(t7,or(carry,and(t5,t7)))),t7)) )],[refute_0_8555,refute_0_8556]) ).
cnf(refute_0_8558,plain,
not(or(xor(t7,or(carry,and(t5,t7))),not(t7))) = and(t7,not(xor(t7,or(carry,and(t5,t7))))),
inference(resolve,[$cnf( $equal(and(not(xor(t7,or(carry,and(t5,t7)))),t7),and(t7,not(xor(t7,or(carry,and(t5,t7)))))) )],[refute_0_8554,refute_0_8557]) ).
cnf(refute_0_8559,plain,
( not(or(xor(t7,or(carry,and(t5,t7))),not(t7))) != and(t7,not(xor(t7,or(carry,and(t5,t7)))))
| not(or(xor(t7,or(carry,and(t5,t7))),not(t7))) != not(not(t7))
| and(t7,not(xor(t7,or(carry,and(t5,t7))))) = not(not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(t7,or(carry,and(t5,t7))),not(t7))),not(not(t7))) ),[0],$fot(and(t7,not(xor(t7,or(carry,and(t5,t7))))))]]) ).
cnf(refute_0_8560,plain,
( not(or(xor(t7,or(carry,and(t5,t7))),not(t7))) != not(not(t7))
| and(t7,not(xor(t7,or(carry,and(t5,t7))))) = not(not(t7)) ),
inference(resolve,[$cnf( $equal(not(or(xor(t7,or(carry,and(t5,t7))),not(t7))),and(t7,not(xor(t7,or(carry,and(t5,t7)))))) )],[refute_0_8558,refute_0_8559]) ).
cnf(refute_0_8561,plain,
( and(t7,not(xor(t7,or(carry,and(t5,t7))))) != not(not(t7))
| not(not(t7)) != t7
| and(t7,not(xor(t7,or(carry,and(t5,t7))))) = t7 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t7,not(xor(t7,or(carry,and(t5,t7))))),t7) ),[0],$fot(not(not(t7)))]]) ).
cnf(refute_0_8562,plain,
( and(t7,not(xor(t7,or(carry,and(t5,t7))))) != not(not(t7))
| and(t7,not(xor(t7,or(carry,and(t5,t7))))) = t7 ),
inference(resolve,[$cnf( $equal(not(not(t7)),t7) )],[refute_0_1105,refute_0_8561]) ).
cnf(refute_0_8563,plain,
( not(or(xor(t7,or(carry,and(t5,t7))),not(t7))) != not(not(t7))
| and(t7,not(xor(t7,or(carry,and(t5,t7))))) = t7 ),
inference(resolve,[$cnf( $equal(and(t7,not(xor(t7,or(carry,and(t5,t7))))),not(not(t7))) )],[refute_0_8560,refute_0_8562]) ).
cnf(refute_0_8564,plain,
and(t7,not(xor(t7,or(carry,and(t5,t7))))) = t7,
inference(resolve,[$cnf( $equal(not(or(xor(t7,or(carry,and(t5,t7))),not(t7))),not(not(t7))) )],[refute_0_8553,refute_0_8563]) ).
cnf(refute_0_8565,plain,
( and(t7,not(xor(t7,or(carry,and(t5,t7))))) != t7
| or(and(t7,not(xor(t7,or(carry,and(t5,t7))))),and(not(t7),xor(t7,or(carry,and(t5,t7))))) != xor(t7,xor(t7,or(carry,and(t5,t7))))
| or(t7,and(not(t7),xor(t7,or(carry,and(t5,t7))))) = xor(t7,xor(t7,or(carry,and(t5,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t7,not(xor(t7,or(carry,and(t5,t7))))),and(not(t7),xor(t7,or(carry,and(t5,t7))))),xor(t7,xor(t7,or(carry,and(t5,t7))))) ),[0,0],$fot(t7)]]) ).
cnf(refute_0_8566,plain,
( or(and(t7,not(xor(t7,or(carry,and(t5,t7))))),and(not(t7),xor(t7,or(carry,and(t5,t7))))) != xor(t7,xor(t7,or(carry,and(t5,t7))))
| or(t7,and(not(t7),xor(t7,or(carry,and(t5,t7))))) = xor(t7,xor(t7,or(carry,and(t5,t7)))) ),
inference(resolve,[$cnf( $equal(and(t7,not(xor(t7,or(carry,and(t5,t7))))),t7) )],[refute_0_8564,refute_0_8565]) ).
cnf(refute_0_8567,plain,
or(t7,and(not(t7),xor(t7,or(carry,and(t5,t7))))) = xor(t7,xor(t7,or(carry,and(t5,t7)))),
inference(resolve,[$cnf( $equal(or(and(t7,not(xor(t7,or(carry,and(t5,t7))))),and(not(t7),xor(t7,or(carry,and(t5,t7))))),xor(t7,xor(t7,or(carry,and(t5,t7))))) )],[refute_0_8545,refute_0_8566]) ).
cnf(refute_0_8568,plain,
and(xor(t7,or(carry,and(t5,t7))),or(not(t7),xor(t7,or(carry,and(t5,t7))))) = xor(t7,or(carry,and(t5,t7))),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(xor(t7,or(carry,and(t5,t7))))),bind(X_20,$fot(not(t7)))]]) ).
cnf(refute_0_8569,plain,
( and(xor(t7,or(carry,and(t5,t7))),or(not(t7),xor(t7,or(carry,and(t5,t7))))) != xor(t7,or(carry,and(t5,t7)))
| or(not(t7),xor(t7,or(carry,and(t5,t7)))) != not(t7)
| and(xor(t7,or(carry,and(t5,t7))),not(t7)) = xor(t7,or(carry,and(t5,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t7,or(carry,and(t5,t7))),or(not(t7),xor(t7,or(carry,and(t5,t7))))),xor(t7,or(carry,and(t5,t7)))) ),[0,1],$fot(not(t7))]]) ).
cnf(refute_0_8570,plain,
( and(xor(t7,or(carry,and(t5,t7))),or(not(t7),xor(t7,or(carry,and(t5,t7))))) != xor(t7,or(carry,and(t5,t7)))
| and(xor(t7,or(carry,and(t5,t7))),not(t7)) = xor(t7,or(carry,and(t5,t7))) ),
inference(resolve,[$cnf( $equal(or(not(t7),xor(t7,or(carry,and(t5,t7)))),not(t7)) )],[refute_0_8550,refute_0_8569]) ).
cnf(refute_0_8571,plain,
and(xor(t7,or(carry,and(t5,t7))),not(t7)) = xor(t7,or(carry,and(t5,t7))),
inference(resolve,[$cnf( $equal(and(xor(t7,or(carry,and(t5,t7))),or(not(t7),xor(t7,or(carry,and(t5,t7))))),xor(t7,or(carry,and(t5,t7)))) )],[refute_0_8568,refute_0_8570]) ).
cnf(refute_0_8572,plain,
and(xor(t7,or(carry,and(t5,t7))),not(t7)) = and(not(t7),xor(t7,or(carry,and(t5,t7)))),
inference(subst,[],[refute_0_116:[bind(X,$fot(not(t7))),bind(Y,$fot(xor(t7,or(carry,and(t5,t7)))))]]) ).
cnf(refute_0_8573,plain,
( and(xor(t7,or(carry,and(t5,t7))),not(t7)) != and(not(t7),xor(t7,or(carry,and(t5,t7))))
| and(xor(t7,or(carry,and(t5,t7))),not(t7)) != xor(t7,or(carry,and(t5,t7)))
| and(not(t7),xor(t7,or(carry,and(t5,t7)))) = xor(t7,or(carry,and(t5,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t7,or(carry,and(t5,t7))),not(t7)),xor(t7,or(carry,and(t5,t7)))) ),[0],$fot(and(not(t7),xor(t7,or(carry,and(t5,t7)))))]]) ).
cnf(refute_0_8574,plain,
( and(xor(t7,or(carry,and(t5,t7))),not(t7)) != xor(t7,or(carry,and(t5,t7)))
| and(not(t7),xor(t7,or(carry,and(t5,t7)))) = xor(t7,or(carry,and(t5,t7))) ),
inference(resolve,[$cnf( $equal(and(xor(t7,or(carry,and(t5,t7))),not(t7)),and(not(t7),xor(t7,or(carry,and(t5,t7))))) )],[refute_0_8572,refute_0_8573]) ).
cnf(refute_0_8575,plain,
and(not(t7),xor(t7,or(carry,and(t5,t7)))) = xor(t7,or(carry,and(t5,t7))),
inference(resolve,[$cnf( $equal(and(xor(t7,or(carry,and(t5,t7))),not(t7)),xor(t7,or(carry,and(t5,t7)))) )],[refute_0_8571,refute_0_8574]) ).
cnf(refute_0_8576,plain,
or(t7,and(not(t7),xor(t7,or(carry,and(t5,t7))))) = or(t7,and(not(t7),xor(t7,or(carry,and(t5,t7))))),
introduced(tautology,[refl,[$fot(or(t7,and(not(t7),xor(t7,or(carry,and(t5,t7))))))]]) ).
cnf(refute_0_8577,plain,
( and(not(t7),xor(t7,or(carry,and(t5,t7)))) != xor(t7,or(carry,and(t5,t7)))
| or(t7,and(not(t7),xor(t7,or(carry,and(t5,t7))))) != or(t7,and(not(t7),xor(t7,or(carry,and(t5,t7)))))
| or(t7,and(not(t7),xor(t7,or(carry,and(t5,t7))))) = or(t7,xor(t7,or(carry,and(t5,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,and(not(t7),xor(t7,or(carry,and(t5,t7))))),or(t7,and(not(t7),xor(t7,or(carry,and(t5,t7)))))) ),[1,1],$fot(xor(t7,or(carry,and(t5,t7))))]]) ).
cnf(refute_0_8578,plain,
( and(not(t7),xor(t7,or(carry,and(t5,t7)))) != xor(t7,or(carry,and(t5,t7)))
| or(t7,and(not(t7),xor(t7,or(carry,and(t5,t7))))) = or(t7,xor(t7,or(carry,and(t5,t7)))) ),
inference(resolve,[$cnf( $equal(or(t7,and(not(t7),xor(t7,or(carry,and(t5,t7))))),or(t7,and(not(t7),xor(t7,or(carry,and(t5,t7)))))) )],[refute_0_8576,refute_0_8577]) ).
cnf(refute_0_8579,plain,
or(t7,and(not(t7),xor(t7,or(carry,and(t5,t7))))) = or(t7,xor(t7,or(carry,and(t5,t7)))),
inference(resolve,[$cnf( $equal(and(not(t7),xor(t7,or(carry,and(t5,t7)))),xor(t7,or(carry,and(t5,t7)))) )],[refute_0_8575,refute_0_8578]) ).
cnf(refute_0_8580,plain,
( or(t7,and(not(t7),xor(t7,or(carry,and(t5,t7))))) != or(t7,xor(t7,or(carry,and(t5,t7))))
| or(t7,and(not(t7),xor(t7,or(carry,and(t5,t7))))) != xor(t7,xor(t7,or(carry,and(t5,t7))))
| or(t7,xor(t7,or(carry,and(t5,t7)))) = xor(t7,xor(t7,or(carry,and(t5,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,and(not(t7),xor(t7,or(carry,and(t5,t7))))),xor(t7,xor(t7,or(carry,and(t5,t7))))) ),[0],$fot(or(t7,xor(t7,or(carry,and(t5,t7)))))]]) ).
cnf(refute_0_8581,plain,
( or(t7,and(not(t7),xor(t7,or(carry,and(t5,t7))))) != xor(t7,xor(t7,or(carry,and(t5,t7))))
| or(t7,xor(t7,or(carry,and(t5,t7)))) = xor(t7,xor(t7,or(carry,and(t5,t7)))) ),
inference(resolve,[$cnf( $equal(or(t7,and(not(t7),xor(t7,or(carry,and(t5,t7))))),or(t7,xor(t7,or(carry,and(t5,t7))))) )],[refute_0_8579,refute_0_8580]) ).
cnf(refute_0_8582,plain,
or(t7,xor(t7,or(carry,and(t5,t7)))) = xor(t7,xor(t7,or(carry,and(t5,t7)))),
inference(resolve,[$cnf( $equal(or(t7,and(not(t7),xor(t7,or(carry,and(t5,t7))))),xor(t7,xor(t7,or(carry,and(t5,t7))))) )],[refute_0_8567,refute_0_8581]) ).
cnf(refute_0_8583,plain,
xor(t7,xor(t7,or(carry,and(t5,t7)))) = or(carry,and(t5,t7)),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(t7)),bind(X_335,$fot(or(carry,and(t5,t7))))]]) ).
cnf(refute_0_8584,plain,
( or(t7,xor(t7,or(carry,and(t5,t7)))) != xor(t7,xor(t7,or(carry,and(t5,t7))))
| xor(t7,xor(t7,or(carry,and(t5,t7)))) != or(carry,and(t5,t7))
| or(t7,xor(t7,or(carry,and(t5,t7)))) = or(carry,and(t5,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(t7,xor(t7,or(carry,and(t5,t7)))),or(carry,and(t5,t7))) ),[0],$fot(xor(t7,xor(t7,or(carry,and(t5,t7)))))]]) ).
cnf(refute_0_8585,plain,
( or(t7,xor(t7,or(carry,and(t5,t7)))) != xor(t7,xor(t7,or(carry,and(t5,t7))))
| or(t7,xor(t7,or(carry,and(t5,t7)))) = or(carry,and(t5,t7)) ),
inference(resolve,[$cnf( $equal(xor(t7,xor(t7,or(carry,and(t5,t7)))),or(carry,and(t5,t7))) )],[refute_0_8583,refute_0_8584]) ).
cnf(refute_0_8586,plain,
or(t7,xor(t7,or(carry,and(t5,t7)))) = or(carry,and(t5,t7)),
inference(resolve,[$cnf( $equal(or(t7,xor(t7,or(carry,and(t5,t7)))),xor(t7,xor(t7,or(carry,and(t5,t7))))) )],[refute_0_8582,refute_0_8585]) ).
cnf(refute_0_8587,plain,
or(t7,xor(t7,or(carry,and(t5,t7)))) = or(t7,xor(t7,or(carry,and(t5,t7)))),
introduced(tautology,[refl,[$fot(or(t7,xor(t7,or(carry,and(t5,t7)))))]]) ).
cnf(refute_0_8588,plain,
( or(t7,xor(t7,or(carry,and(t5,t7)))) != or(t7,xor(t7,or(carry,and(t5,t7))))
| xor(t7,or(carry,and(t5,t7))) != xor(t7,or(carry,not(cin)))
| or(t7,xor(t7,or(carry,and(t5,t7)))) = or(t7,xor(t7,or(carry,not(cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,xor(t7,or(carry,and(t5,t7)))),or(t7,xor(t7,or(carry,and(t5,t7))))) ),[1,1],$fot(xor(t7,or(carry,not(cin))))]]) ).
cnf(refute_0_8589,plain,
( xor(t7,or(carry,and(t5,t7))) != xor(t7,or(carry,not(cin)))
| or(t7,xor(t7,or(carry,and(t5,t7)))) = or(t7,xor(t7,or(carry,not(cin)))) ),
inference(resolve,[$cnf( $equal(or(t7,xor(t7,or(carry,and(t5,t7)))),or(t7,xor(t7,or(carry,and(t5,t7))))) )],[refute_0_8587,refute_0_8588]) ).
cnf(refute_0_8590,plain,
or(t7,xor(t7,or(carry,and(t5,t7)))) = or(t7,xor(t7,or(carry,not(cin)))),
inference(resolve,[$cnf( $equal(xor(t7,or(carry,and(t5,t7))),xor(t7,or(carry,not(cin)))) )],[refute_0_7780,refute_0_8589]) ).
cnf(refute_0_8591,plain,
( or(t7,xor(t7,or(carry,and(t5,t7)))) != or(carry,and(t5,t7))
| or(t7,xor(t7,or(carry,and(t5,t7)))) != or(t7,xor(t7,or(carry,not(cin))))
| or(t7,xor(t7,or(carry,not(cin)))) = or(carry,and(t5,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,xor(t7,or(carry,and(t5,t7)))),or(carry,and(t5,t7))) ),[0],$fot(or(t7,xor(t7,or(carry,not(cin)))))]]) ).
cnf(refute_0_8592,plain,
( or(t7,xor(t7,or(carry,and(t5,t7)))) != or(carry,and(t5,t7))
| or(t7,xor(t7,or(carry,not(cin)))) = or(carry,and(t5,t7)) ),
inference(resolve,[$cnf( $equal(or(t7,xor(t7,or(carry,and(t5,t7)))),or(t7,xor(t7,or(carry,not(cin))))) )],[refute_0_8590,refute_0_8591]) ).
cnf(refute_0_8593,plain,
( or(carry,and(t5,t7)) != or(carry,not(cin))
| or(t7,xor(t7,or(carry,not(cin)))) != or(carry,and(t5,t7))
| or(t7,xor(t7,or(carry,not(cin)))) = or(carry,not(cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,xor(t7,or(carry,not(cin)))),or(carry,and(t5,t7))) ),[1],$fot(or(carry,not(cin)))]]) ).
cnf(refute_0_8594,plain,
( or(t7,xor(t7,or(carry,not(cin)))) != or(carry,and(t5,t7))
| or(t7,xor(t7,or(carry,not(cin)))) = or(carry,not(cin)) ),
inference(resolve,[$cnf( $equal(or(carry,and(t5,t7)),or(carry,not(cin))) )],[refute_0_7763,refute_0_8593]) ).
cnf(refute_0_8595,plain,
( or(t7,xor(t7,or(carry,and(t5,t7)))) != or(carry,and(t5,t7))
| or(t7,xor(t7,or(carry,not(cin)))) = or(carry,not(cin)) ),
inference(resolve,[$cnf( $equal(or(t7,xor(t7,or(carry,not(cin)))),or(carry,and(t5,t7))) )],[refute_0_8592,refute_0_8594]) ).
cnf(refute_0_8596,plain,
or(t7,xor(t7,or(carry,not(cin)))) = or(carry,not(cin)),
inference(resolve,[$cnf( $equal(or(t7,xor(t7,or(carry,and(t5,t7)))),or(carry,and(t5,t7))) )],[refute_0_8586,refute_0_8595]) ).
cnf(refute_0_8597,plain,
not(or(t7,and(not(carry),cin))) = not(or(t7,and(cin,not(carry)))),
inference(subst,[],[refute_0_5521:[bind(X,$fot(t7)),bind(X_205,$fot(not(carry))),bind(X_206,$fot(cin))]]) ).
cnf(refute_0_8598,plain,
and(not(t7),or(carry,not(cin))) = not(or(t7,and(not(carry),cin))),
inference(subst,[],[refute_0_5529:[bind(X,$fot(t7)),bind(X_33,$fot(carry)),bind(X_34,$fot(cin))]]) ).
cnf(refute_0_8599,plain,
( and(not(t7),or(carry,not(cin))) != not(or(t7,and(not(carry),cin)))
| not(or(t7,and(not(carry),cin))) != not(or(t7,and(cin,not(carry))))
| and(not(t7),or(carry,not(cin))) = not(or(t7,and(cin,not(carry)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t7),or(carry,not(cin))))),bind(Y0,$fot(not(or(t7,and(not(carry),cin))))),bind(Z0,$fot(not(or(t7,and(cin,not(carry))))))]]) ).
cnf(refute_0_8600,plain,
( not(or(t7,and(not(carry),cin))) != not(or(t7,and(cin,not(carry))))
| and(not(t7),or(carry,not(cin))) = not(or(t7,and(cin,not(carry)))) ),
inference(resolve,[$cnf( $equal(and(not(t7),or(carry,not(cin))),not(or(t7,and(not(carry),cin)))) )],[refute_0_8598,refute_0_8599]) ).
cnf(refute_0_8601,plain,
and(not(t7),or(carry,not(cin))) = not(or(t7,and(cin,not(carry)))),
inference(resolve,[$cnf( $equal(not(or(t7,and(not(carry),cin))),not(or(t7,and(cin,not(carry))))) )],[refute_0_8597,refute_0_8600]) ).
cnf(refute_0_8602,plain,
and(not(t7),or(carry,and(t5,t7))) = and(not(t7),or(carry,and(t5,t7))),
introduced(tautology,[refl,[$fot(and(not(t7),or(carry,and(t5,t7))))]]) ).
cnf(refute_0_8603,plain,
( and(not(t7),or(carry,and(t5,t7))) != and(not(t7),or(carry,and(t5,t7)))
| or(carry,and(t5,t7)) != or(carry,not(cin))
| and(not(t7),or(carry,and(t5,t7))) = and(not(t7),or(carry,not(cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t7),or(carry,and(t5,t7))),and(not(t7),or(carry,and(t5,t7)))) ),[1,1],$fot(or(carry,not(cin)))]]) ).
cnf(refute_0_8604,plain,
( or(carry,and(t5,t7)) != or(carry,not(cin))
| and(not(t7),or(carry,and(t5,t7))) = and(not(t7),or(carry,not(cin))) ),
inference(resolve,[$cnf( $equal(and(not(t7),or(carry,and(t5,t7))),and(not(t7),or(carry,and(t5,t7)))) )],[refute_0_8602,refute_0_8603]) ).
cnf(refute_0_8605,plain,
and(not(t7),or(carry,and(t5,t7))) = and(not(t7),or(carry,not(cin))),
inference(resolve,[$cnf( $equal(or(carry,and(t5,t7)),or(carry,not(cin))) )],[refute_0_7763,refute_0_8604]) ).
cnf(refute_0_8606,plain,
( and(not(t7),or(carry,and(t5,t7))) != and(not(t7),or(carry,not(cin)))
| and(not(t7),or(carry,not(cin))) != not(or(t7,and(cin,not(carry))))
| and(not(t7),or(carry,and(t5,t7))) = not(or(t7,and(cin,not(carry)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t7),or(carry,and(t5,t7))))),bind(Y0,$fot(and(not(t7),or(carry,not(cin))))),bind(Z0,$fot(not(or(t7,and(cin,not(carry))))))]]) ).
cnf(refute_0_8607,plain,
( and(not(t7),or(carry,not(cin))) != not(or(t7,and(cin,not(carry))))
| and(not(t7),or(carry,and(t5,t7))) = not(or(t7,and(cin,not(carry)))) ),
inference(resolve,[$cnf( $equal(and(not(t7),or(carry,and(t5,t7))),and(not(t7),or(carry,not(cin)))) )],[refute_0_8605,refute_0_8606]) ).
cnf(refute_0_8608,plain,
and(not(t7),or(carry,and(t5,t7))) = not(or(t7,and(cin,not(carry)))),
inference(resolve,[$cnf( $equal(and(not(t7),or(carry,not(cin))),not(or(t7,and(cin,not(carry))))) )],[refute_0_8601,refute_0_8607]) ).
cnf(refute_0_8609,plain,
( and(not(t7),or(carry,and(t5,t7))) != not(or(t7,and(cin,not(carry))))
| and(not(t7),or(carry,and(t5,t7))) != xor(t7,or(carry,and(t5,t7)))
| not(or(t7,and(cin,not(carry)))) = xor(t7,or(carry,and(t5,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t7),or(carry,and(t5,t7))),xor(t7,or(carry,and(t5,t7)))) ),[0],$fot(not(or(t7,and(cin,not(carry)))))]]) ).
cnf(refute_0_8610,plain,
( and(not(t7),or(carry,and(t5,t7))) != xor(t7,or(carry,and(t5,t7)))
| not(or(t7,and(cin,not(carry)))) = xor(t7,or(carry,and(t5,t7))) ),
inference(resolve,[$cnf( $equal(and(not(t7),or(carry,and(t5,t7))),not(or(t7,and(cin,not(carry))))) )],[refute_0_8608,refute_0_8609]) ).
cnf(refute_0_8611,plain,
( not(or(t7,and(cin,not(carry)))) != xor(t7,or(carry,and(t5,t7)))
| xor(t7,or(carry,and(t5,t7))) != xor(t7,or(carry,not(cin)))
| not(or(t7,and(cin,not(carry)))) = xor(t7,or(carry,not(cin))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(or(t7,and(cin,not(carry)))),xor(t7,or(carry,not(cin)))) ),[0],$fot(xor(t7,or(carry,and(t5,t7))))]]) ).
cnf(refute_0_8612,plain,
( not(or(t7,and(cin,not(carry)))) != xor(t7,or(carry,and(t5,t7)))
| not(or(t7,and(cin,not(carry)))) = xor(t7,or(carry,not(cin))) ),
inference(resolve,[$cnf( $equal(xor(t7,or(carry,and(t5,t7))),xor(t7,or(carry,not(cin)))) )],[refute_0_7780,refute_0_8611]) ).
cnf(refute_0_8613,plain,
( and(not(t7),or(carry,and(t5,t7))) != xor(t7,or(carry,and(t5,t7)))
| not(or(t7,and(cin,not(carry)))) = xor(t7,or(carry,not(cin))) ),
inference(resolve,[$cnf( $equal(not(or(t7,and(cin,not(carry)))),xor(t7,or(carry,and(t5,t7)))) )],[refute_0_8610,refute_0_8612]) ).
cnf(refute_0_8614,plain,
not(or(t7,and(cin,not(carry)))) = xor(t7,or(carry,not(cin))),
inference(resolve,[$cnf( $equal(and(not(t7),or(carry,and(t5,t7))),xor(t7,or(carry,and(t5,t7)))) )],[refute_0_7745,refute_0_8613]) ).
cnf(refute_0_8615,plain,
or(and(t7,not(or(X_232,t7))),and(not(t7),or(X_232,t7))) = xor(t7,or(X_232,t7)),
inference(subst,[],[refute_0_9:[bind(X,$fot(t7)),bind(Y,$fot(or(X_232,t7)))]]) ).
cnf(refute_0_8616,plain,
and(and(t5,and(cin,t7)),X_222) = and(t5,and(and(cin,t7),X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(t5)),bind(Y,$fot(and(cin,t7))),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_8617,plain,
and(cin,and(t5,t7)) = and(and(t5,t7),cin),
inference(subst,[],[and_commutative:[bind(X,$fot(cin)),bind(Y,$fot(and(t5,t7)))]]) ).
cnf(refute_0_8618,plain,
and(and(cin,t5),not(and(cin,t5))) = ll0,
inference(subst,[],[and_complement:[bind(X,$fot(and(cin,t5)))]]) ).
cnf(refute_0_8619,plain,
( and(and(cin,t5),not(and(cin,t5))) != ll0
| not(and(cin,t5)) != t7
| and(and(cin,t5),t7) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(cin,t5),not(and(cin,t5))),ll0) ),[0,1],$fot(t7)]]) ).
cnf(refute_0_8620,plain,
( and(and(cin,t5),not(and(cin,t5))) != ll0
| and(and(cin,t5),t7) = ll0 ),
inference(resolve,[$cnf( $equal(not(and(cin,t5)),t7) )],[refute_0_195,refute_0_8619]) ).
cnf(refute_0_8621,plain,
and(and(cin,t5),t7) = ll0,
inference(resolve,[$cnf( $equal(and(and(cin,t5),not(and(cin,t5))),ll0) )],[refute_0_8618,refute_0_8620]) ).
cnf(refute_0_8622,plain,
and(and(cin,t5),t7) = and(cin,and(t5,t7)),
inference(subst,[],[and_associative:[bind(X,$fot(cin)),bind(Y,$fot(t5)),bind(Z,$fot(t7))]]) ).
cnf(refute_0_8623,plain,
( and(and(cin,t5),t7) != and(cin,and(t5,t7))
| and(and(cin,t5),t7) != ll0
| and(cin,and(t5,t7)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(cin,t5),t7),ll0) ),[0],$fot(and(cin,and(t5,t7)))]]) ).
cnf(refute_0_8624,plain,
( and(and(cin,t5),t7) != ll0
| and(cin,and(t5,t7)) = ll0 ),
inference(resolve,[$cnf( $equal(and(and(cin,t5),t7),and(cin,and(t5,t7))) )],[refute_0_8622,refute_0_8623]) ).
cnf(refute_0_8625,plain,
and(cin,and(t5,t7)) = ll0,
inference(resolve,[$cnf( $equal(and(and(cin,t5),t7),ll0) )],[refute_0_8621,refute_0_8624]) ).
cnf(refute_0_8626,plain,
( and(cin,and(t5,t7)) != and(and(t5,t7),cin)
| and(cin,and(t5,t7)) != ll0
| ll0 = and(and(t5,t7),cin) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,and(t5,t7)),and(and(t5,t7),cin)) ),[0],$fot(ll0)]]) ).
cnf(refute_0_8627,plain,
( and(cin,and(t5,t7)) != and(and(t5,t7),cin)
| ll0 = and(and(t5,t7),cin) ),
inference(resolve,[$cnf( $equal(and(cin,and(t5,t7)),ll0) )],[refute_0_8625,refute_0_8626]) ).
cnf(refute_0_8628,plain,
ll0 = and(and(t5,t7),cin),
inference(resolve,[$cnf( $equal(and(cin,and(t5,t7)),and(and(t5,t7),cin)) )],[refute_0_8617,refute_0_8627]) ).
cnf(refute_0_8629,plain,
and(t7,cin) = and(cin,t7),
inference(subst,[],[refute_0_116:[bind(X,$fot(cin)),bind(Y,$fot(t7))]]) ).
cnf(refute_0_8630,plain,
and(t5,and(t7,cin)) = and(t5,and(t7,cin)),
introduced(tautology,[refl,[$fot(and(t5,and(t7,cin)))]]) ).
cnf(refute_0_8631,plain,
( and(t5,and(t7,cin)) != and(t5,and(t7,cin))
| and(t7,cin) != and(cin,t7)
| and(t5,and(t7,cin)) = and(t5,and(cin,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,and(t7,cin)),and(t5,and(t7,cin))) ),[1,1],$fot(and(cin,t7))]]) ).
cnf(refute_0_8632,plain,
( and(t7,cin) != and(cin,t7)
| and(t5,and(t7,cin)) = and(t5,and(cin,t7)) ),
inference(resolve,[$cnf( $equal(and(t5,and(t7,cin)),and(t5,and(t7,cin))) )],[refute_0_8630,refute_0_8631]) ).
cnf(refute_0_8633,plain,
and(t5,and(t7,cin)) = and(t5,and(cin,t7)),
inference(resolve,[$cnf( $equal(and(t7,cin),and(cin,t7)) )],[refute_0_8629,refute_0_8632]) ).
cnf(refute_0_8634,plain,
and(and(t5,t7),cin) = and(t5,and(t7,cin)),
inference(subst,[],[and_associative:[bind(X,$fot(t5)),bind(Y,$fot(t7)),bind(Z,$fot(cin))]]) ).
cnf(refute_0_8635,plain,
( and(and(t5,t7),cin) != and(t5,and(t7,cin))
| and(t5,and(t7,cin)) != and(t5,and(cin,t7))
| and(and(t5,t7),cin) = and(t5,and(cin,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(t5,t7),cin))),bind(Y0,$fot(and(t5,and(t7,cin)))),bind(Z0,$fot(and(t5,and(cin,t7))))]]) ).
cnf(refute_0_8636,plain,
( and(t5,and(t7,cin)) != and(t5,and(cin,t7))
| and(and(t5,t7),cin) = and(t5,and(cin,t7)) ),
inference(resolve,[$cnf( $equal(and(and(t5,t7),cin),and(t5,and(t7,cin))) )],[refute_0_8634,refute_0_8635]) ).
cnf(refute_0_8637,plain,
and(and(t5,t7),cin) = and(t5,and(cin,t7)),
inference(resolve,[$cnf( $equal(and(t5,and(t7,cin)),and(t5,and(cin,t7))) )],[refute_0_8633,refute_0_8636]) ).
cnf(refute_0_8638,plain,
( and(and(t5,t7),cin) != and(t5,and(cin,t7))
| ll0 != and(and(t5,t7),cin)
| ll0 = and(t5,and(cin,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(and(t5,t7),cin)) ),[1],$fot(and(t5,and(cin,t7)))]]) ).
cnf(refute_0_8639,plain,
( ll0 != and(and(t5,t7),cin)
| ll0 = and(t5,and(cin,t7)) ),
inference(resolve,[$cnf( $equal(and(and(t5,t7),cin),and(t5,and(cin,t7))) )],[refute_0_8637,refute_0_8638]) ).
cnf(refute_0_8640,plain,
ll0 = and(t5,and(cin,t7)),
inference(resolve,[$cnf( $equal(ll0,and(and(t5,t7),cin)) )],[refute_0_8628,refute_0_8639]) ).
cnf(refute_0_8641,plain,
( ll0 != and(t5,and(cin,t7))
| and(t5,and(cin,t7)) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(t5,and(cin,t7))))]]) ).
cnf(refute_0_8642,plain,
and(t5,and(cin,t7)) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(t5,and(cin,t7))) )],[refute_0_8640,refute_0_8641]) ).
cnf(refute_0_8643,plain,
( and(and(t5,and(cin,t7)),X_222) != and(t5,and(and(cin,t7),X_222))
| and(t5,and(cin,t7)) != ll0
| and(ll0,X_222) = and(t5,and(and(cin,t7),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t5,and(cin,t7)),X_222),and(t5,and(and(cin,t7),X_222))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_8644,plain,
( and(and(t5,and(cin,t7)),X_222) != and(t5,and(and(cin,t7),X_222))
| and(ll0,X_222) = and(t5,and(and(cin,t7),X_222)) ),
inference(resolve,[$cnf( $equal(and(t5,and(cin,t7)),ll0) )],[refute_0_8642,refute_0_8643]) ).
cnf(refute_0_8645,plain,
and(ll0,X_222) = and(t5,and(and(cin,t7),X_222)),
inference(resolve,[$cnf( $equal(and(and(t5,and(cin,t7)),X_222),and(t5,and(and(cin,t7),X_222))) )],[refute_0_8616,refute_0_8644]) ).
cnf(refute_0_8646,plain,
( and(ll0,X_222) != and(t5,and(and(cin,t7),X_222))
| and(ll0,X_222) != ll0
| ll0 = and(t5,and(and(cin,t7),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(ll0,X_222),and(t5,and(and(cin,t7),X_222))) ),[0],$fot(ll0)]]) ).
cnf(refute_0_8647,plain,
( and(ll0,X_222) != and(t5,and(and(cin,t7),X_222))
| ll0 = and(t5,and(and(cin,t7),X_222)) ),
inference(resolve,[$cnf( $equal(and(ll0,X_222),ll0) )],[refute_0_873,refute_0_8646]) ).
cnf(refute_0_8648,plain,
and(not(t7),and(t7,X_222)) = and(t7,and(X_222,not(t7))),
inference(subst,[],[refute_0_880:[bind(X,$fot(not(t7))),bind(X_220,$fot(t7)),bind(X_221,$fot(X_222))]]) ).
cnf(refute_0_8649,plain,
and(and(cin,t5),X_222) = and(cin,and(t5,X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(cin)),bind(Y,$fot(t5)),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_8650,plain,
( and(and(cin,t5),X_222) != and(cin,and(t5,X_222))
| and(cin,t5) != not(t7)
| and(not(t7),X_222) = and(cin,and(t5,X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(cin,t5),X_222),and(cin,and(t5,X_222))) ),[0,0],$fot(not(t7))]]) ).
cnf(refute_0_8651,plain,
( and(and(cin,t5),X_222) != and(cin,and(t5,X_222))
| and(not(t7),X_222) = and(cin,and(t5,X_222)) ),
inference(resolve,[$cnf( $equal(and(cin,t5),not(t7)) )],[refute_0_200,refute_0_8650]) ).
cnf(refute_0_8652,plain,
and(not(t7),X_222) = and(cin,and(t5,X_222)),
inference(resolve,[$cnf( $equal(and(and(cin,t5),X_222),and(cin,and(t5,X_222))) )],[refute_0_8649,refute_0_8651]) ).
cnf(refute_0_8653,plain,
( and(not(t7),X_222) != and(cin,and(t5,X_222))
| and(cin,and(t5,X_222)) = and(not(t7),X_222) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t7),X_222))),bind(Y0,$fot(and(cin,and(t5,X_222))))]]) ).
cnf(refute_0_8654,plain,
and(cin,and(t5,X_222)) = and(not(t7),X_222),
inference(resolve,[$cnf( $equal(and(not(t7),X_222),and(cin,and(t5,X_222))) )],[refute_0_8652,refute_0_8653]) ).
cnf(refute_0_8655,plain,
and(cin,and(t5,and(t7,X_222))) = and(not(t7),and(t7,X_222)),
inference(subst,[],[refute_0_8654:[bind(X_222,$fot(and(t7,X_222)))]]) ).
cnf(refute_0_8656,plain,
( and(cin,and(t5,and(t7,X_222))) != and(not(t7),and(t7,X_222))
| and(not(t7),and(t7,X_222)) != and(t7,and(X_222,not(t7)))
| and(cin,and(t5,and(t7,X_222))) = and(t7,and(X_222,not(t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(cin,and(t5,and(t7,X_222))))),bind(Y0,$fot(and(not(t7),and(t7,X_222)))),bind(Z0,$fot(and(t7,and(X_222,not(t7)))))]]) ).
cnf(refute_0_8657,plain,
( and(not(t7),and(t7,X_222)) != and(t7,and(X_222,not(t7)))
| and(cin,and(t5,and(t7,X_222))) = and(t7,and(X_222,not(t7))) ),
inference(resolve,[$cnf( $equal(and(cin,and(t5,and(t7,X_222))),and(not(t7),and(t7,X_222))) )],[refute_0_8655,refute_0_8656]) ).
cnf(refute_0_8658,plain,
and(cin,and(t5,and(t7,X_222))) = and(t7,and(X_222,not(t7))),
inference(resolve,[$cnf( $equal(and(not(t7),and(t7,X_222)),and(t7,and(X_222,not(t7)))) )],[refute_0_8648,refute_0_8657]) ).
cnf(refute_0_8659,plain,
and(t7,and(X_222,t5)) = and(t5,and(t7,X_222)),
inference(subst,[],[refute_0_889:[bind(X,$fot(t5)),bind(X_220,$fot(t7)),bind(X_221,$fot(X_222))]]) ).
cnf(refute_0_8660,plain,
and(and(t7,X_222),t5) = and(t7,and(X_222,t5)),
inference(subst,[],[and_associative:[bind(X,$fot(t7)),bind(Y,$fot(X_222)),bind(Z,$fot(t5))]]) ).
cnf(refute_0_8661,plain,
( and(and(t7,X_222),t5) != and(t7,and(X_222,t5))
| and(t7,and(X_222,t5)) != and(t5,and(t7,X_222))
| and(and(t7,X_222),t5) = and(t5,and(t7,X_222)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(t7,X_222),t5))),bind(Y0,$fot(and(t7,and(X_222,t5)))),bind(Z0,$fot(and(t5,and(t7,X_222))))]]) ).
cnf(refute_0_8662,plain,
( and(t7,and(X_222,t5)) != and(t5,and(t7,X_222))
| and(and(t7,X_222),t5) = and(t5,and(t7,X_222)) ),
inference(resolve,[$cnf( $equal(and(and(t7,X_222),t5),and(t7,and(X_222,t5))) )],[refute_0_8660,refute_0_8661]) ).
cnf(refute_0_8663,plain,
and(and(t7,X_222),t5) = and(t5,and(t7,X_222)),
inference(resolve,[$cnf( $equal(and(t7,and(X_222,t5)),and(t5,and(t7,X_222))) )],[refute_0_8659,refute_0_8662]) ).
cnf(refute_0_8664,plain,
and(cin,and(and(t7,X_222),t5)) = and(cin,and(and(t7,X_222),t5)),
introduced(tautology,[refl,[$fot(and(cin,and(and(t7,X_222),t5)))]]) ).
cnf(refute_0_8665,plain,
( and(and(t7,X_222),t5) != and(t5,and(t7,X_222))
| and(cin,and(and(t7,X_222),t5)) != and(cin,and(and(t7,X_222),t5))
| and(cin,and(and(t7,X_222),t5)) = and(cin,and(t5,and(t7,X_222))) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,and(and(t7,X_222),t5)),and(cin,and(and(t7,X_222),t5))) ),[1,1],$fot(and(t5,and(t7,X_222)))]]) ).
cnf(refute_0_8666,plain,
( and(and(t7,X_222),t5) != and(t5,and(t7,X_222))
| and(cin,and(and(t7,X_222),t5)) = and(cin,and(t5,and(t7,X_222))) ),
inference(resolve,[$cnf( $equal(and(cin,and(and(t7,X_222),t5)),and(cin,and(and(t7,X_222),t5))) )],[refute_0_8664,refute_0_8665]) ).
cnf(refute_0_8667,plain,
and(cin,and(and(t7,X_222),t5)) = and(cin,and(t5,and(t7,X_222))),
inference(resolve,[$cnf( $equal(and(and(t7,X_222),t5),and(t5,and(t7,X_222))) )],[refute_0_8663,refute_0_8666]) ).
cnf(refute_0_8668,plain,
( and(cin,and(and(t7,X_222),t5)) != and(cin,and(t5,and(t7,X_222)))
| and(cin,and(t5,and(t7,X_222))) != and(t7,and(X_222,not(t7)))
| and(cin,and(and(t7,X_222),t5)) = and(t7,and(X_222,not(t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(cin,and(and(t7,X_222),t5)))),bind(Y0,$fot(and(cin,and(t5,and(t7,X_222))))),bind(Z0,$fot(and(t7,and(X_222,not(t7)))))]]) ).
cnf(refute_0_8669,plain,
( and(cin,and(t5,and(t7,X_222))) != and(t7,and(X_222,not(t7)))
| and(cin,and(and(t7,X_222),t5)) = and(t7,and(X_222,not(t7))) ),
inference(resolve,[$cnf( $equal(and(cin,and(and(t7,X_222),t5)),and(cin,and(t5,and(t7,X_222)))) )],[refute_0_8667,refute_0_8668]) ).
cnf(refute_0_8670,plain,
and(cin,and(and(t7,X_222),t5)) = and(t7,and(X_222,not(t7))),
inference(resolve,[$cnf( $equal(and(cin,and(t5,and(t7,X_222))),and(t7,and(X_222,not(t7)))) )],[refute_0_8658,refute_0_8669]) ).
cnf(refute_0_8671,plain,
and(t5,and(cin,and(t7,X_222))) = and(cin,and(and(t7,X_222),t5)),
inference(subst,[],[refute_0_880:[bind(X,$fot(t5)),bind(X_220,$fot(cin)),bind(X_221,$fot(and(t7,X_222)))]]) ).
cnf(refute_0_8672,plain,
( and(cin,and(and(t7,X_222),t5)) != and(t7,and(X_222,not(t7)))
| and(t5,and(cin,and(t7,X_222))) != and(cin,and(and(t7,X_222),t5))
| and(t5,and(cin,and(t7,X_222))) = and(t7,and(X_222,not(t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t5,and(cin,and(t7,X_222))))),bind(Y0,$fot(and(cin,and(and(t7,X_222),t5)))),bind(Z0,$fot(and(t7,and(X_222,not(t7)))))]]) ).
cnf(refute_0_8673,plain,
( and(cin,and(and(t7,X_222),t5)) != and(t7,and(X_222,not(t7)))
| and(t5,and(cin,and(t7,X_222))) = and(t7,and(X_222,not(t7))) ),
inference(resolve,[$cnf( $equal(and(t5,and(cin,and(t7,X_222))),and(cin,and(and(t7,X_222),t5))) )],[refute_0_8671,refute_0_8672]) ).
cnf(refute_0_8674,plain,
and(t5,and(cin,and(t7,X_222))) = and(t7,and(X_222,not(t7))),
inference(resolve,[$cnf( $equal(and(cin,and(and(t7,X_222),t5)),and(t7,and(X_222,not(t7)))) )],[refute_0_8670,refute_0_8673]) ).
cnf(refute_0_8675,plain,
and(and(cin,t7),X_222) = and(cin,and(t7,X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(cin)),bind(Y,$fot(t7)),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_8676,plain,
and(t5,and(and(cin,t7),X_222)) = and(t5,and(and(cin,t7),X_222)),
introduced(tautology,[refl,[$fot(and(t5,and(and(cin,t7),X_222)))]]) ).
cnf(refute_0_8677,plain,
( and(and(cin,t7),X_222) != and(cin,and(t7,X_222))
| and(t5,and(and(cin,t7),X_222)) != and(t5,and(and(cin,t7),X_222))
| and(t5,and(and(cin,t7),X_222)) = and(t5,and(cin,and(t7,X_222))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,and(and(cin,t7),X_222)),and(t5,and(and(cin,t7),X_222))) ),[1,1],$fot(and(cin,and(t7,X_222)))]]) ).
cnf(refute_0_8678,plain,
( and(and(cin,t7),X_222) != and(cin,and(t7,X_222))
| and(t5,and(and(cin,t7),X_222)) = and(t5,and(cin,and(t7,X_222))) ),
inference(resolve,[$cnf( $equal(and(t5,and(and(cin,t7),X_222)),and(t5,and(and(cin,t7),X_222))) )],[refute_0_8676,refute_0_8677]) ).
cnf(refute_0_8679,plain,
and(t5,and(and(cin,t7),X_222)) = and(t5,and(cin,and(t7,X_222))),
inference(resolve,[$cnf( $equal(and(and(cin,t7),X_222),and(cin,and(t7,X_222))) )],[refute_0_8675,refute_0_8678]) ).
cnf(refute_0_8680,plain,
( and(t5,and(and(cin,t7),X_222)) != and(t5,and(cin,and(t7,X_222)))
| and(t5,and(cin,and(t7,X_222))) != and(t7,and(X_222,not(t7)))
| and(t5,and(and(cin,t7),X_222)) = and(t7,and(X_222,not(t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t5,and(and(cin,t7),X_222)))),bind(Y0,$fot(and(t5,and(cin,and(t7,X_222))))),bind(Z0,$fot(and(t7,and(X_222,not(t7)))))]]) ).
cnf(refute_0_8681,plain,
( and(t5,and(cin,and(t7,X_222))) != and(t7,and(X_222,not(t7)))
| and(t5,and(and(cin,t7),X_222)) = and(t7,and(X_222,not(t7))) ),
inference(resolve,[$cnf( $equal(and(t5,and(and(cin,t7),X_222)),and(t5,and(cin,and(t7,X_222)))) )],[refute_0_8679,refute_0_8680]) ).
cnf(refute_0_8682,plain,
and(t5,and(and(cin,t7),X_222)) = and(t7,and(X_222,not(t7))),
inference(resolve,[$cnf( $equal(and(t5,and(cin,and(t7,X_222))),and(t7,and(X_222,not(t7)))) )],[refute_0_8674,refute_0_8681]) ).
cnf(refute_0_8683,plain,
( and(t5,and(and(cin,t7),X_222)) != and(t7,and(X_222,not(t7)))
| ll0 != and(t5,and(and(cin,t7),X_222))
| ll0 = and(t7,and(X_222,not(t7))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(t5,and(and(cin,t7),X_222))) ),[1],$fot(and(t7,and(X_222,not(t7))))]]) ).
cnf(refute_0_8684,plain,
( ll0 != and(t5,and(and(cin,t7),X_222))
| ll0 = and(t7,and(X_222,not(t7))) ),
inference(resolve,[$cnf( $equal(and(t5,and(and(cin,t7),X_222)),and(t7,and(X_222,not(t7)))) )],[refute_0_8682,refute_0_8683]) ).
cnf(refute_0_8685,plain,
( and(ll0,X_222) != and(t5,and(and(cin,t7),X_222))
| ll0 = and(t7,and(X_222,not(t7))) ),
inference(resolve,[$cnf( $equal(ll0,and(t5,and(and(cin,t7),X_222))) )],[refute_0_8647,refute_0_8684]) ).
cnf(refute_0_8686,plain,
ll0 = and(t7,and(X_222,not(t7))),
inference(resolve,[$cnf( $equal(and(ll0,X_222),and(t5,and(and(cin,t7),X_222))) )],[refute_0_8645,refute_0_8685]) ).
cnf(refute_0_8687,plain,
ll0 = and(t7,and(not(X),not(t7))),
inference(subst,[],[refute_0_8686:[bind(X_222,$fot(not(X)))]]) ).
cnf(refute_0_8688,plain,
not(or(X,t7)) = and(not(X),not(t7)),
inference(subst,[],[or_demorgan:[bind(Y,$fot(t7))]]) ).
cnf(refute_0_8689,plain,
( not(or(X,t7)) != and(not(X),not(t7))
| and(not(X),not(t7)) = not(or(X,t7)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X,t7)))),bind(Y0,$fot(and(not(X),not(t7))))]]) ).
cnf(refute_0_8690,plain,
and(not(X),not(t7)) = not(or(X,t7)),
inference(resolve,[$cnf( $equal(not(or(X,t7)),and(not(X),not(t7))) )],[refute_0_8688,refute_0_8689]) ).
cnf(refute_0_8691,plain,
( and(not(X),not(t7)) != not(or(X,t7))
| ll0 != and(t7,and(not(X),not(t7)))
| ll0 = and(t7,not(or(X,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(t7,and(not(X),not(t7)))) ),[1,1],$fot(not(or(X,t7)))]]) ).
cnf(refute_0_8692,plain,
( ll0 != and(t7,and(not(X),not(t7)))
| ll0 = and(t7,not(or(X,t7))) ),
inference(resolve,[$cnf( $equal(and(not(X),not(t7)),not(or(X,t7))) )],[refute_0_8690,refute_0_8691]) ).
cnf(refute_0_8693,plain,
ll0 = and(t7,not(or(X,t7))),
inference(resolve,[$cnf( $equal(ll0,and(t7,and(not(X),not(t7)))) )],[refute_0_8687,refute_0_8692]) ).
cnf(refute_0_8694,plain,
ll0 = and(t7,not(or(X_232,t7))),
inference(subst,[],[refute_0_8693:[bind(X,$fot(X_232))]]) ).
cnf(refute_0_8695,plain,
( ll0 != and(t7,not(or(X_232,t7)))
| and(t7,not(or(X_232,t7))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(t7,not(or(X_232,t7)))))]]) ).
cnf(refute_0_8696,plain,
and(t7,not(or(X_232,t7))) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(t7,not(or(X_232,t7)))) )],[refute_0_8694,refute_0_8695]) ).
cnf(refute_0_8697,plain,
( and(t7,not(or(X_232,t7))) != ll0
| or(and(t7,not(or(X_232,t7))),and(not(t7),or(X_232,t7))) != xor(t7,or(X_232,t7))
| or(ll0,and(not(t7),or(X_232,t7))) = xor(t7,or(X_232,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t7,not(or(X_232,t7))),and(not(t7),or(X_232,t7))),xor(t7,or(X_232,t7))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_8698,plain,
( or(and(t7,not(or(X_232,t7))),and(not(t7),or(X_232,t7))) != xor(t7,or(X_232,t7))
| or(ll0,and(not(t7),or(X_232,t7))) = xor(t7,or(X_232,t7)) ),
inference(resolve,[$cnf( $equal(and(t7,not(or(X_232,t7))),ll0) )],[refute_0_8696,refute_0_8697]) ).
cnf(refute_0_8699,plain,
or(ll0,and(not(t7),or(X_232,t7))) = xor(t7,or(X_232,t7)),
inference(resolve,[$cnf( $equal(or(and(t7,not(or(X_232,t7))),and(not(t7),or(X_232,t7))),xor(t7,or(X_232,t7))) )],[refute_0_8615,refute_0_8698]) ).
cnf(refute_0_8700,plain,
or(ll0,and(not(t7),or(X_232,t7))) = and(not(t7),or(X_232,t7)),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(t7),or(X_232,t7))))]]) ).
cnf(refute_0_8701,plain,
( or(ll0,and(not(t7),or(X_232,t7))) != and(not(t7),or(X_232,t7))
| or(ll0,and(not(t7),or(X_232,t7))) != xor(t7,or(X_232,t7))
| and(not(t7),or(X_232,t7)) = xor(t7,or(X_232,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(t7),or(X_232,t7))),xor(t7,or(X_232,t7))) ),[0],$fot(and(not(t7),or(X_232,t7)))]]) ).
cnf(refute_0_8702,plain,
( or(ll0,and(not(t7),or(X_232,t7))) != xor(t7,or(X_232,t7))
| and(not(t7),or(X_232,t7)) = xor(t7,or(X_232,t7)) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t7),or(X_232,t7))),and(not(t7),or(X_232,t7))) )],[refute_0_8700,refute_0_8701]) ).
cnf(refute_0_8703,plain,
and(not(t7),or(X_232,t7)) = xor(t7,or(X_232,t7)),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t7),or(X_232,t7))),xor(t7,or(X_232,t7))) )],[refute_0_8699,refute_0_8702]) ).
cnf(refute_0_8704,plain,
and(not(t7),or(carry,t7)) = xor(t7,or(carry,t7)),
inference(subst,[],[refute_0_8703:[bind(X_232,$fot(carry))]]) ).
cnf(refute_0_8705,plain,
not(or(t7,not(or(carry,t7)))) = and(not(t7),or(carry,t7)),
inference(subst,[],[refute_0_801:[bind(X,$fot(or(carry,t7))),bind(X_25,$fot(t7))]]) ).
cnf(refute_0_8706,plain,
( and(not(t7),or(carry,t7)) != xor(t7,or(carry,t7))
| not(or(t7,not(or(carry,t7)))) != and(not(t7),or(carry,t7))
| not(or(t7,not(or(carry,t7)))) = xor(t7,or(carry,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(t7,not(or(carry,t7)))))),bind(Y0,$fot(and(not(t7),or(carry,t7)))),bind(Z0,$fot(xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_8707,plain,
( and(not(t7),or(carry,t7)) != xor(t7,or(carry,t7))
| not(or(t7,not(or(carry,t7)))) = xor(t7,or(carry,t7)) ),
inference(resolve,[$cnf( $equal(not(or(t7,not(or(carry,t7)))),and(not(t7),or(carry,t7))) )],[refute_0_8705,refute_0_8706]) ).
cnf(refute_0_8708,plain,
not(or(t7,not(or(carry,t7)))) = xor(t7,or(carry,t7)),
inference(resolve,[$cnf( $equal(and(not(t7),or(carry,t7)),xor(t7,or(carry,t7))) )],[refute_0_8704,refute_0_8707]) ).
cnf(refute_0_8709,plain,
not(or(t7,and(cin,not(carry)))) = not(or(t7,and(cin,not(carry)))),
introduced(tautology,[refl,[$fot(not(or(t7,and(cin,not(carry)))))]]) ).
cnf(refute_0_8710,plain,
( not(or(t7,and(cin,not(carry)))) != not(or(t7,and(cin,not(carry))))
| or(t7,and(cin,not(carry))) != or(t7,not(or(carry,t7)))
| not(or(t7,and(cin,not(carry)))) = not(or(t7,not(or(carry,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t7,and(cin,not(carry)))),not(or(t7,and(cin,not(carry))))) ),[1,0],$fot(or(t7,not(or(carry,t7))))]]) ).
cnf(refute_0_8711,plain,
( or(t7,and(cin,not(carry))) != or(t7,not(or(carry,t7)))
| not(or(t7,and(cin,not(carry)))) = not(or(t7,not(or(carry,t7)))) ),
inference(resolve,[$cnf( $equal(not(or(t7,and(cin,not(carry)))),not(or(t7,and(cin,not(carry))))) )],[refute_0_8709,refute_0_8710]) ).
cnf(refute_0_8712,plain,
not(or(t7,and(cin,not(carry)))) = not(or(t7,not(or(carry,t7)))),
inference(resolve,[$cnf( $equal(or(t7,and(cin,not(carry))),or(t7,not(or(carry,t7)))) )],[refute_0_7807,refute_0_8711]) ).
cnf(refute_0_8713,plain,
( not(or(t7,and(cin,not(carry)))) != not(or(t7,not(or(carry,t7))))
| not(or(t7,not(or(carry,t7)))) != xor(t7,or(carry,t7))
| not(or(t7,and(cin,not(carry)))) = xor(t7,or(carry,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(t7,and(cin,not(carry)))))),bind(Y0,$fot(not(or(t7,not(or(carry,t7)))))),bind(Z0,$fot(xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_8714,plain,
( not(or(t7,not(or(carry,t7)))) != xor(t7,or(carry,t7))
| not(or(t7,and(cin,not(carry)))) = xor(t7,or(carry,t7)) ),
inference(resolve,[$cnf( $equal(not(or(t7,and(cin,not(carry)))),not(or(t7,not(or(carry,t7))))) )],[refute_0_8712,refute_0_8713]) ).
cnf(refute_0_8715,plain,
not(or(t7,and(cin,not(carry)))) = xor(t7,or(carry,t7)),
inference(resolve,[$cnf( $equal(not(or(t7,not(or(carry,t7)))),xor(t7,or(carry,t7))) )],[refute_0_8708,refute_0_8714]) ).
cnf(refute_0_8716,plain,
( not(or(t7,and(cin,not(carry)))) != xor(t7,or(carry,not(cin)))
| not(or(t7,and(cin,not(carry)))) != xor(t7,or(carry,t7))
| xor(t7,or(carry,t7)) = xor(t7,or(carry,not(cin))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t7,and(cin,not(carry)))),xor(t7,or(carry,not(cin)))) ),[0],$fot(xor(t7,or(carry,t7)))]]) ).
cnf(refute_0_8717,plain,
( not(or(t7,and(cin,not(carry)))) != xor(t7,or(carry,not(cin)))
| xor(t7,or(carry,t7)) = xor(t7,or(carry,not(cin))) ),
inference(resolve,[$cnf( $equal(not(or(t7,and(cin,not(carry)))),xor(t7,or(carry,t7))) )],[refute_0_8715,refute_0_8716]) ).
cnf(refute_0_8718,plain,
xor(t7,or(carry,t7)) = xor(t7,or(carry,not(cin))),
inference(resolve,[$cnf( $equal(not(or(t7,and(cin,not(carry)))),xor(t7,or(carry,not(cin)))) )],[refute_0_8614,refute_0_8717]) ).
cnf(refute_0_8719,plain,
( xor(t7,or(carry,t7)) != xor(t7,or(carry,not(cin)))
| xor(t7,or(carry,not(cin))) = xor(t7,or(carry,t7)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t7,or(carry,t7)))),bind(Y0,$fot(xor(t7,or(carry,not(cin)))))]]) ).
cnf(refute_0_8720,plain,
xor(t7,or(carry,not(cin))) = xor(t7,or(carry,t7)),
inference(resolve,[$cnf( $equal(xor(t7,or(carry,t7)),xor(t7,or(carry,not(cin)))) )],[refute_0_8718,refute_0_8719]) ).
cnf(refute_0_8721,plain,
or(t7,xor(t7,or(carry,not(cin)))) = or(t7,xor(t7,or(carry,not(cin)))),
introduced(tautology,[refl,[$fot(or(t7,xor(t7,or(carry,not(cin)))))]]) ).
cnf(refute_0_8722,plain,
( or(t7,xor(t7,or(carry,not(cin)))) != or(t7,xor(t7,or(carry,not(cin))))
| xor(t7,or(carry,not(cin))) != xor(t7,or(carry,t7))
| or(t7,xor(t7,or(carry,not(cin)))) = or(t7,xor(t7,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,xor(t7,or(carry,not(cin)))),or(t7,xor(t7,or(carry,not(cin))))) ),[1,1],$fot(xor(t7,or(carry,t7)))]]) ).
cnf(refute_0_8723,plain,
( xor(t7,or(carry,not(cin))) != xor(t7,or(carry,t7))
| or(t7,xor(t7,or(carry,not(cin)))) = or(t7,xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(or(t7,xor(t7,or(carry,not(cin)))),or(t7,xor(t7,or(carry,not(cin))))) )],[refute_0_8721,refute_0_8722]) ).
cnf(refute_0_8724,plain,
or(t7,xor(t7,or(carry,not(cin)))) = or(t7,xor(t7,or(carry,t7))),
inference(resolve,[$cnf( $equal(xor(t7,or(carry,not(cin))),xor(t7,or(carry,t7))) )],[refute_0_8720,refute_0_8723]) ).
cnf(refute_0_8725,plain,
( or(t7,xor(t7,or(carry,not(cin)))) != or(carry,not(cin))
| or(t7,xor(t7,or(carry,not(cin)))) != or(t7,xor(t7,or(carry,t7)))
| or(t7,xor(t7,or(carry,t7))) = or(carry,not(cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,xor(t7,or(carry,not(cin)))),or(carry,not(cin))) ),[0],$fot(or(t7,xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_8726,plain,
( or(t7,xor(t7,or(carry,not(cin)))) != or(carry,not(cin))
| or(t7,xor(t7,or(carry,t7))) = or(carry,not(cin)) ),
inference(resolve,[$cnf( $equal(or(t7,xor(t7,or(carry,not(cin)))),or(t7,xor(t7,or(carry,t7)))) )],[refute_0_8724,refute_0_8725]) ).
cnf(refute_0_8727,plain,
or(t7,xor(t7,or(carry,t7))) = or(carry,not(cin)),
inference(resolve,[$cnf( $equal(or(t7,xor(t7,or(carry,not(cin)))),or(carry,not(cin))) )],[refute_0_8596,refute_0_8726]) ).
cnf(refute_0_8728,plain,
( or(carry,not(cin)) != or(carry,t7)
| or(t7,xor(t7,or(carry,t7))) != or(carry,not(cin))
| or(t7,xor(t7,or(carry,t7))) = or(carry,t7) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,xor(t7,or(carry,t7))),or(carry,not(cin))) ),[1],$fot(or(carry,t7))]]) ).
cnf(refute_0_8729,plain,
( or(t7,xor(t7,or(carry,t7))) != or(carry,not(cin))
| or(t7,xor(t7,or(carry,t7))) = or(carry,t7) ),
inference(resolve,[$cnf( $equal(or(carry,not(cin)),or(carry,t7)) )],[refute_0_4355,refute_0_8728]) ).
cnf(refute_0_8730,plain,
or(t7,xor(t7,or(carry,t7))) = or(carry,t7),
inference(resolve,[$cnf( $equal(or(t7,xor(t7,or(carry,t7))),or(carry,not(cin))) )],[refute_0_8727,refute_0_8729]) ).
cnf(refute_0_8731,plain,
or(or(t4,not(cin)),Z) = or(t4,or(not(cin),Z)),
inference(subst,[],[or_associative:[bind(X,$fot(t4)),bind(Y,$fot(not(cin)))]]) ).
cnf(refute_0_8732,plain,
not(and(not(t4),cin)) = not(and(cin,not(t4))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(cin)),bind(X_32,$fot(not(t4)))]]) ).
cnf(refute_0_8733,plain,
( and(cin,not(t4)) != not(t7)
| not(and(not(t4),cin)) != not(and(cin,not(t4)))
| not(and(not(t4),cin)) = not(not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t4),cin)),not(and(cin,not(t4)))) ),[1,0],$fot(not(t7))]]) ).
cnf(refute_0_8734,plain,
( not(and(not(t4),cin)) != not(and(cin,not(t4)))
| not(and(not(t4),cin)) = not(not(t7)) ),
inference(resolve,[$cnf( $equal(and(cin,not(t4)),not(t7)) )],[refute_0_5566,refute_0_8733]) ).
cnf(refute_0_8735,plain,
not(and(not(t4),cin)) = not(not(t7)),
inference(resolve,[$cnf( $equal(not(and(not(t4),cin)),not(and(cin,not(t4)))) )],[refute_0_8732,refute_0_8734]) ).
cnf(refute_0_8736,plain,
not(and(not(t4),cin)) = or(t4,not(cin)),
inference(subst,[],[refute_0_787:[bind(X,$fot(t4)),bind(X_32,$fot(cin))]]) ).
cnf(refute_0_8737,plain,
( not(and(not(t4),cin)) != not(not(t7))
| not(and(not(t4),cin)) != or(t4,not(cin))
| or(t4,not(cin)) = not(not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t4),cin)),not(not(t7))) ),[0],$fot(or(t4,not(cin)))]]) ).
cnf(refute_0_8738,plain,
( not(and(not(t4),cin)) != not(not(t7))
| or(t4,not(cin)) = not(not(t7)) ),
inference(resolve,[$cnf( $equal(not(and(not(t4),cin)),or(t4,not(cin))) )],[refute_0_8736,refute_0_8737]) ).
cnf(refute_0_8739,plain,
( not(not(t7)) != t7
| or(t4,not(cin)) != not(not(t7))
| or(t4,not(cin)) = t7 ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,not(cin)),not(not(t7))) ),[1],$fot(t7)]]) ).
cnf(refute_0_8740,plain,
( or(t4,not(cin)) != not(not(t7))
| or(t4,not(cin)) = t7 ),
inference(resolve,[$cnf( $equal(not(not(t7)),t7) )],[refute_0_1105,refute_0_8739]) ).
cnf(refute_0_8741,plain,
( not(and(not(t4),cin)) != not(not(t7))
| or(t4,not(cin)) = t7 ),
inference(resolve,[$cnf( $equal(or(t4,not(cin)),not(not(t7))) )],[refute_0_8738,refute_0_8740]) ).
cnf(refute_0_8742,plain,
or(t4,not(cin)) = t7,
inference(resolve,[$cnf( $equal(not(and(not(t4),cin)),not(not(t7))) )],[refute_0_8735,refute_0_8741]) ).
cnf(refute_0_8743,plain,
( or(or(t4,not(cin)),Z) != or(t4,or(not(cin),Z))
| or(t4,not(cin)) != t7
| or(t7,Z) = or(t4,or(not(cin),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t4,not(cin)),Z),or(t4,or(not(cin),Z))) ),[0,0],$fot(t7)]]) ).
cnf(refute_0_8744,plain,
( or(or(t4,not(cin)),Z) != or(t4,or(not(cin),Z))
| or(t7,Z) = or(t4,or(not(cin),Z)) ),
inference(resolve,[$cnf( $equal(or(t4,not(cin)),t7) )],[refute_0_8742,refute_0_8743]) ).
cnf(refute_0_8745,plain,
or(t7,Z) = or(t4,or(not(cin),Z)),
inference(resolve,[$cnf( $equal(or(or(t4,not(cin)),Z),or(t4,or(not(cin),Z))) )],[refute_0_8731,refute_0_8744]) ).
cnf(refute_0_8746,plain,
( or(t7,Z) != or(t4,or(not(cin),Z))
| or(t4,or(not(cin),Z)) = or(t7,Z) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(t7,Z))),bind(Y0,$fot(or(t4,or(not(cin),Z))))]]) ).
cnf(refute_0_8747,plain,
or(t4,or(not(cin),Z)) = or(t7,Z),
inference(resolve,[$cnf( $equal(or(t7,Z),or(t4,or(not(cin),Z))) )],[refute_0_8745,refute_0_8746]) ).
cnf(refute_0_8748,plain,
or(t4,or(not(cin),xor(t7,or(carry,t7)))) = or(t7,xor(t7,or(carry,t7))),
inference(subst,[],[refute_0_8747:[bind(Z,$fot(xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_8749,plain,
( or(t4,or(not(cin),xor(t7,or(carry,t7)))) != or(t7,xor(t7,or(carry,t7)))
| or(t7,xor(t7,or(carry,t7))) != or(carry,t7)
| or(t4,or(not(cin),xor(t7,or(carry,t7)))) = or(carry,t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t4,or(not(cin),xor(t7,or(carry,t7)))))),bind(Y0,$fot(or(t7,xor(t7,or(carry,t7))))),bind(Z0,$fot(or(carry,t7)))]]) ).
cnf(refute_0_8750,plain,
( or(t7,xor(t7,or(carry,t7))) != or(carry,t7)
| or(t4,or(not(cin),xor(t7,or(carry,t7)))) = or(carry,t7) ),
inference(resolve,[$cnf( $equal(or(t4,or(not(cin),xor(t7,or(carry,t7)))),or(t7,xor(t7,or(carry,t7)))) )],[refute_0_8748,refute_0_8749]) ).
cnf(refute_0_8751,plain,
or(t4,or(not(cin),xor(t7,or(carry,t7)))) = or(carry,t7),
inference(resolve,[$cnf( $equal(or(t7,xor(t7,or(carry,t7))),or(carry,t7)) )],[refute_0_8730,refute_0_8750]) ).
cnf(refute_0_8752,plain,
or(not(cin),or(t4,xor(t7,or(carry,t7)))) = or(t4,or(not(cin),xor(t7,or(carry,t7)))),
inference(subst,[],[refute_0_267:[bind(X_37,$fot(not(cin))),bind(X_38,$fot(t4)),bind(X_39,$fot(xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_8753,plain,
( or(not(cin),or(t4,xor(t7,or(carry,t7)))) != or(t4,or(not(cin),xor(t7,or(carry,t7))))
| or(t4,or(not(cin),xor(t7,or(carry,t7)))) != or(carry,t7)
| or(not(cin),or(t4,xor(t7,or(carry,t7)))) = or(carry,t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(cin),or(t4,xor(t7,or(carry,t7)))))),bind(Y0,$fot(or(t4,or(not(cin),xor(t7,or(carry,t7)))))),bind(Z0,$fot(or(carry,t7)))]]) ).
cnf(refute_0_8754,plain,
( or(t4,or(not(cin),xor(t7,or(carry,t7)))) != or(carry,t7)
| or(not(cin),or(t4,xor(t7,or(carry,t7)))) = or(carry,t7) ),
inference(resolve,[$cnf( $equal(or(not(cin),or(t4,xor(t7,or(carry,t7)))),or(t4,or(not(cin),xor(t7,or(carry,t7))))) )],[refute_0_8752,refute_0_8753]) ).
cnf(refute_0_8755,plain,
or(not(cin),or(t4,xor(t7,or(carry,t7)))) = or(carry,t7),
inference(resolve,[$cnf( $equal(or(t4,or(not(cin),xor(t7,or(carry,t7)))),or(carry,t7)) )],[refute_0_8751,refute_0_8754]) ).
cnf(refute_0_8756,plain,
and(t6,or(not(cin),or(t4,xor(t7,or(carry,t7))))) = and(t6,or(not(cin),or(t4,xor(t7,or(carry,t7))))),
introduced(tautology,[refl,[$fot(and(t6,or(not(cin),or(t4,xor(t7,or(carry,t7))))))]]) ).
cnf(refute_0_8757,plain,
( and(t6,or(not(cin),or(t4,xor(t7,or(carry,t7))))) != and(t6,or(not(cin),or(t4,xor(t7,or(carry,t7)))))
| or(not(cin),or(t4,xor(t7,or(carry,t7)))) != or(carry,t7)
| and(t6,or(not(cin),or(t4,xor(t7,or(carry,t7))))) = and(t6,or(carry,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(not(cin),or(t4,xor(t7,or(carry,t7))))),and(t6,or(not(cin),or(t4,xor(t7,or(carry,t7)))))) ),[1,1],$fot(or(carry,t7))]]) ).
cnf(refute_0_8758,plain,
( or(not(cin),or(t4,xor(t7,or(carry,t7)))) != or(carry,t7)
| and(t6,or(not(cin),or(t4,xor(t7,or(carry,t7))))) = and(t6,or(carry,t7)) ),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),or(t4,xor(t7,or(carry,t7))))),and(t6,or(not(cin),or(t4,xor(t7,or(carry,t7)))))) )],[refute_0_8756,refute_0_8757]) ).
cnf(refute_0_8759,plain,
and(t6,or(not(cin),or(t4,xor(t7,or(carry,t7))))) = and(t6,or(carry,t7)),
inference(resolve,[$cnf( $equal(or(not(cin),or(t4,xor(t7,or(carry,t7)))),or(carry,t7)) )],[refute_0_8755,refute_0_8758]) ).
cnf(refute_0_8760,plain,
and(t6,or(xor(t4,xor(X_388,t4)),not(cin))) = xor(t6,and(cin,not(xor(t4,xor(X_388,t4))))),
inference(subst,[],[refute_0_7533:[bind(X,$fot(xor(t4,xor(X_388,t4))))]]) ).
cnf(refute_0_8761,plain,
xor(X_333,xor(and(t5,t6),xor(t5,t6))) = xor(xor(X_333,and(t5,t6)),xor(t5,t6)),
inference(subst,[],[xor_associative:[bind(X,$fot(X_333)),bind(Y,$fot(and(t5,t6))),bind(Z,$fot(xor(t5,t6)))]]) ).
cnf(refute_0_8762,plain,
ll1 = xor(and(t5,t6),not(and(t5,t6))),
inference(subst,[],[refute_0_473:[bind(X_64,$fot(and(t5,t6)))]]) ).
cnf(refute_0_8763,plain,
( ll1 != xor(and(t5,t6),not(and(t5,t6)))
| not(and(t5,t6)) != xor(t5,t6)
| ll1 = xor(and(t5,t6),xor(t5,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,xor(and(t5,t6),not(and(t5,t6)))) ),[1,1],$fot(xor(t5,t6))]]) ).
cnf(refute_0_8764,plain,
( ll1 != xor(and(t5,t6),not(and(t5,t6)))
| ll1 = xor(and(t5,t6),xor(t5,t6)) ),
inference(resolve,[$cnf( $equal(not(and(t5,t6)),xor(t5,t6)) )],[refute_0_2033,refute_0_8763]) ).
cnf(refute_0_8765,plain,
ll1 = xor(and(t5,t6),xor(t5,t6)),
inference(resolve,[$cnf( $equal(ll1,xor(and(t5,t6),not(and(t5,t6)))) )],[refute_0_8762,refute_0_8764]) ).
cnf(refute_0_8766,plain,
( ll1 != xor(and(t5,t6),xor(t5,t6))
| xor(and(t5,t6),xor(t5,t6)) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(xor(and(t5,t6),xor(t5,t6))))]]) ).
cnf(refute_0_8767,plain,
xor(and(t5,t6),xor(t5,t6)) = ll1,
inference(resolve,[$cnf( $equal(ll1,xor(and(t5,t6),xor(t5,t6))) )],[refute_0_8765,refute_0_8766]) ).
cnf(refute_0_8768,plain,
( xor(X_333,xor(and(t5,t6),xor(t5,t6))) != xor(xor(X_333,and(t5,t6)),xor(t5,t6))
| xor(and(t5,t6),xor(t5,t6)) != ll1
| xor(X_333,ll1) = xor(xor(X_333,and(t5,t6)),xor(t5,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,xor(and(t5,t6),xor(t5,t6))),xor(xor(X_333,and(t5,t6)),xor(t5,t6))) ),[0,1],$fot(ll1)]]) ).
cnf(refute_0_8769,plain,
( xor(X_333,xor(and(t5,t6),xor(t5,t6))) != xor(xor(X_333,and(t5,t6)),xor(t5,t6))
| xor(X_333,ll1) = xor(xor(X_333,and(t5,t6)),xor(t5,t6)) ),
inference(resolve,[$cnf( $equal(xor(and(t5,t6),xor(t5,t6)),ll1) )],[refute_0_8767,refute_0_8768]) ).
cnf(refute_0_8770,plain,
xor(X_333,ll1) = xor(xor(X_333,and(t5,t6)),xor(t5,t6)),
inference(resolve,[$cnf( $equal(xor(X_333,xor(and(t5,t6),xor(t5,t6))),xor(xor(X_333,and(t5,t6)),xor(t5,t6))) )],[refute_0_8761,refute_0_8769]) ).
cnf(refute_0_8771,plain,
( xor(X_333,ll1) != not(X_333)
| xor(X_333,ll1) != xor(xor(X_333,and(t5,t6)),xor(t5,t6))
| not(X_333) = xor(xor(X_333,and(t5,t6)),xor(t5,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,ll1),xor(xor(X_333,and(t5,t6)),xor(t5,t6))) ),[0],$fot(not(X_333))]]) ).
cnf(refute_0_8772,plain,
( xor(X_333,ll1) != xor(xor(X_333,and(t5,t6)),xor(t5,t6))
| not(X_333) = xor(xor(X_333,and(t5,t6)),xor(t5,t6)) ),
inference(resolve,[$cnf( $equal(xor(X_333,ll1),not(X_333)) )],[refute_0_3465,refute_0_8771]) ).
cnf(refute_0_8773,plain,
xor(t6,xor(xor(X_333,and(t5,t6)),t5)) = xor(t5,xor(t6,xor(X_333,and(t5,t6)))),
inference(subst,[],[refute_0_1453:[bind(X,$fot(t5)),bind(X_333,$fot(t6)),bind(X_334,$fot(xor(X_333,and(t5,t6))))]]) ).
cnf(refute_0_8774,plain,
xor(xor(X_333,and(t5,t6)),xor(t5,t6)) = xor(t6,xor(xor(X_333,and(t5,t6)),t5)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(t6)),bind(X_333,$fot(xor(X_333,and(t5,t6)))),bind(X_334,$fot(t5))]]) ).
cnf(refute_0_8775,plain,
( xor(t6,xor(xor(X_333,and(t5,t6)),t5)) != xor(t5,xor(t6,xor(X_333,and(t5,t6))))
| xor(xor(X_333,and(t5,t6)),xor(t5,t6)) != xor(t6,xor(xor(X_333,and(t5,t6)),t5))
| xor(xor(X_333,and(t5,t6)),xor(t5,t6)) = xor(t5,xor(t6,xor(X_333,and(t5,t6)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X_333,and(t5,t6)),xor(t5,t6)))),bind(Y0,$fot(xor(t6,xor(xor(X_333,and(t5,t6)),t5)))),bind(Z0,$fot(xor(t5,xor(t6,xor(X_333,and(t5,t6))))))]]) ).
cnf(refute_0_8776,plain,
( xor(t6,xor(xor(X_333,and(t5,t6)),t5)) != xor(t5,xor(t6,xor(X_333,and(t5,t6))))
| xor(xor(X_333,and(t5,t6)),xor(t5,t6)) = xor(t5,xor(t6,xor(X_333,and(t5,t6)))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,and(t5,t6)),xor(t5,t6)),xor(t6,xor(xor(X_333,and(t5,t6)),t5))) )],[refute_0_8774,refute_0_8775]) ).
cnf(refute_0_8777,plain,
xor(xor(X_333,and(t5,t6)),xor(t5,t6)) = xor(t5,xor(t6,xor(X_333,and(t5,t6)))),
inference(resolve,[$cnf( $equal(xor(t6,xor(xor(X_333,and(t5,t6)),t5)),xor(t5,xor(t6,xor(X_333,and(t5,t6))))) )],[refute_0_8773,refute_0_8776]) ).
cnf(refute_0_8778,plain,
( not(X_333) != xor(xor(X_333,and(t5,t6)),xor(t5,t6))
| xor(xor(X_333,and(t5,t6)),xor(t5,t6)) != xor(t5,xor(t6,xor(X_333,and(t5,t6))))
| not(X_333) = xor(t5,xor(t6,xor(X_333,and(t5,t6)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(X_333),xor(t5,xor(t6,xor(X_333,and(t5,t6))))) ),[0],$fot(xor(xor(X_333,and(t5,t6)),xor(t5,t6)))]]) ).
cnf(refute_0_8779,plain,
( not(X_333) != xor(xor(X_333,and(t5,t6)),xor(t5,t6))
| not(X_333) = xor(t5,xor(t6,xor(X_333,and(t5,t6)))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,and(t5,t6)),xor(t5,t6)),xor(t5,xor(t6,xor(X_333,and(t5,t6))))) )],[refute_0_8777,refute_0_8778]) ).
cnf(refute_0_8780,plain,
( xor(X_333,ll1) != xor(xor(X_333,and(t5,t6)),xor(t5,t6))
| not(X_333) = xor(t5,xor(t6,xor(X_333,and(t5,t6)))) ),
inference(resolve,[$cnf( $equal(not(X_333),xor(xor(X_333,and(t5,t6)),xor(t5,t6))) )],[refute_0_8772,refute_0_8779]) ).
cnf(refute_0_8781,plain,
not(X_333) = xor(t5,xor(t6,xor(X_333,and(t5,t6)))),
inference(resolve,[$cnf( $equal(xor(X_333,ll1),xor(xor(X_333,and(t5,t6)),xor(t5,t6))) )],[refute_0_8770,refute_0_8780]) ).
cnf(refute_0_8782,plain,
xor(t4,not(xor(X_333,t4))) = not(xor(t4,xor(X_333,t4))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t4)),bind(X_334,$fot(xor(X_333,t4)))]]) ).
cnf(refute_0_8783,plain,
xor(X_333,not(t4)) = not(xor(X_333,t4)),
inference(subst,[],[refute_0_1139:[bind(X_334,$fot(t4))]]) ).
cnf(refute_0_8784,plain,
xor(X_333,and(t5,t6)) = xor(X_333,and(t5,t6)),
introduced(tautology,[refl,[$fot(xor(X_333,and(t5,t6)))]]) ).
cnf(refute_0_8785,plain,
( and(t5,t6) != not(t4)
| xor(X_333,and(t5,t6)) != xor(X_333,and(t5,t6))
| xor(X_333,and(t5,t6)) = xor(X_333,not(t4)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,and(t5,t6)),xor(X_333,and(t5,t6))) ),[1,1],$fot(not(t4))]]) ).
cnf(refute_0_8786,plain,
( and(t5,t6) != not(t4)
| xor(X_333,and(t5,t6)) = xor(X_333,not(t4)) ),
inference(resolve,[$cnf( $equal(xor(X_333,and(t5,t6)),xor(X_333,and(t5,t6))) )],[refute_0_8784,refute_0_8785]) ).
cnf(refute_0_8787,plain,
xor(X_333,and(t5,t6)) = xor(X_333,not(t4)),
inference(resolve,[$cnf( $equal(and(t5,t6),not(t4)) )],[refute_0_4573,refute_0_8786]) ).
cnf(refute_0_8788,plain,
( xor(X_333,and(t5,t6)) != xor(X_333,not(t4))
| xor(X_333,not(t4)) != not(xor(X_333,t4))
| xor(X_333,and(t5,t6)) = not(xor(X_333,t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(X_333,and(t5,t6)))),bind(Y0,$fot(xor(X_333,not(t4)))),bind(Z0,$fot(not(xor(X_333,t4))))]]) ).
cnf(refute_0_8789,plain,
( xor(X_333,not(t4)) != not(xor(X_333,t4))
| xor(X_333,and(t5,t6)) = not(xor(X_333,t4)) ),
inference(resolve,[$cnf( $equal(xor(X_333,and(t5,t6)),xor(X_333,not(t4))) )],[refute_0_8787,refute_0_8788]) ).
cnf(refute_0_8790,plain,
xor(X_333,and(t5,t6)) = not(xor(X_333,t4)),
inference(resolve,[$cnf( $equal(xor(X_333,not(t4)),not(xor(X_333,t4))) )],[refute_0_8783,refute_0_8789]) ).
cnf(refute_0_8791,plain,
xor(t4,xor(X_333,and(t5,t6))) = xor(t4,xor(X_333,and(t5,t6))),
introduced(tautology,[refl,[$fot(xor(t4,xor(X_333,and(t5,t6))))]]) ).
cnf(refute_0_8792,plain,
( xor(X_333,and(t5,t6)) != not(xor(X_333,t4))
| xor(t4,xor(X_333,and(t5,t6))) != xor(t4,xor(X_333,and(t5,t6)))
| xor(t4,xor(X_333,and(t5,t6))) = xor(t4,not(xor(X_333,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,xor(X_333,and(t5,t6))),xor(t4,xor(X_333,and(t5,t6)))) ),[1,1],$fot(not(xor(X_333,t4)))]]) ).
cnf(refute_0_8793,plain,
( xor(X_333,and(t5,t6)) != not(xor(X_333,t4))
| xor(t4,xor(X_333,and(t5,t6))) = xor(t4,not(xor(X_333,t4))) ),
inference(resolve,[$cnf( $equal(xor(t4,xor(X_333,and(t5,t6))),xor(t4,xor(X_333,and(t5,t6)))) )],[refute_0_8791,refute_0_8792]) ).
cnf(refute_0_8794,plain,
xor(t4,xor(X_333,and(t5,t6))) = xor(t4,not(xor(X_333,t4))),
inference(resolve,[$cnf( $equal(xor(X_333,and(t5,t6)),not(xor(X_333,t4))) )],[refute_0_8790,refute_0_8793]) ).
cnf(refute_0_8795,plain,
( xor(t4,not(xor(X_333,t4))) != not(xor(t4,xor(X_333,t4)))
| xor(t4,xor(X_333,and(t5,t6))) != xor(t4,not(xor(X_333,t4)))
| xor(t4,xor(X_333,and(t5,t6))) = not(xor(t4,xor(X_333,t4))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t4,xor(X_333,and(t5,t6))))),bind(Y0,$fot(xor(t4,not(xor(X_333,t4))))),bind(Z0,$fot(not(xor(t4,xor(X_333,t4)))))]]) ).
cnf(refute_0_8796,plain,
( xor(t4,not(xor(X_333,t4))) != not(xor(t4,xor(X_333,t4)))
| xor(t4,xor(X_333,and(t5,t6))) = not(xor(t4,xor(X_333,t4))) ),
inference(resolve,[$cnf( $equal(xor(t4,xor(X_333,and(t5,t6))),xor(t4,not(xor(X_333,t4)))) )],[refute_0_8794,refute_0_8795]) ).
cnf(refute_0_8797,plain,
xor(t4,xor(X_333,and(t5,t6))) = not(xor(t4,xor(X_333,t4))),
inference(resolve,[$cnf( $equal(xor(t4,not(xor(X_333,t4))),not(xor(t4,xor(X_333,t4)))) )],[refute_0_8782,refute_0_8796]) ).
cnf(refute_0_8798,plain,
xor(t5,xor(t6,Z)) = xor(xor(t5,t6),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(t5)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_8799,plain,
( xor(t5,t6) != t4
| xor(t5,xor(t6,Z)) != xor(xor(t5,t6),Z)
| xor(t5,xor(t6,Z)) = xor(t4,Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t5,xor(t6,Z)),xor(xor(t5,t6),Z)) ),[1,0],$fot(t4)]]) ).
cnf(refute_0_8800,plain,
( xor(t5,xor(t6,Z)) != xor(xor(t5,t6),Z)
| xor(t5,xor(t6,Z)) = xor(t4,Z) ),
inference(resolve,[$cnf( $equal(xor(t5,t6),t4) )],[refute_0_1493,refute_0_8799]) ).
cnf(refute_0_8801,plain,
xor(t5,xor(t6,Z)) = xor(t4,Z),
inference(resolve,[$cnf( $equal(xor(t5,xor(t6,Z)),xor(xor(t5,t6),Z)) )],[refute_0_8798,refute_0_8800]) ).
cnf(refute_0_8802,plain,
xor(t5,xor(t6,xor(X_333,and(t5,t6)))) = xor(t4,xor(X_333,and(t5,t6))),
inference(subst,[],[refute_0_8801:[bind(Z,$fot(xor(X_333,and(t5,t6))))]]) ).
cnf(refute_0_8803,plain,
( xor(t4,xor(X_333,and(t5,t6))) != not(xor(t4,xor(X_333,t4)))
| xor(t5,xor(t6,xor(X_333,and(t5,t6)))) != xor(t4,xor(X_333,and(t5,t6)))
| xor(t5,xor(t6,xor(X_333,and(t5,t6)))) = not(xor(t4,xor(X_333,t4))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t5,xor(t6,xor(X_333,and(t5,t6)))))),bind(Y0,$fot(xor(t4,xor(X_333,and(t5,t6))))),bind(Z0,$fot(not(xor(t4,xor(X_333,t4)))))]]) ).
cnf(refute_0_8804,plain,
( xor(t4,xor(X_333,and(t5,t6))) != not(xor(t4,xor(X_333,t4)))
| xor(t5,xor(t6,xor(X_333,and(t5,t6)))) = not(xor(t4,xor(X_333,t4))) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(t6,xor(X_333,and(t5,t6)))),xor(t4,xor(X_333,and(t5,t6)))) )],[refute_0_8802,refute_0_8803]) ).
cnf(refute_0_8805,plain,
xor(t5,xor(t6,xor(X_333,and(t5,t6)))) = not(xor(t4,xor(X_333,t4))),
inference(resolve,[$cnf( $equal(xor(t4,xor(X_333,and(t5,t6))),not(xor(t4,xor(X_333,t4)))) )],[refute_0_8797,refute_0_8804]) ).
cnf(refute_0_8806,plain,
( not(X_333) != xor(t5,xor(t6,xor(X_333,and(t5,t6))))
| xor(t5,xor(t6,xor(X_333,and(t5,t6)))) != not(xor(t4,xor(X_333,t4)))
| not(X_333) = not(xor(t4,xor(X_333,t4))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(X_333),not(xor(t4,xor(X_333,t4)))) ),[0],$fot(xor(t5,xor(t6,xor(X_333,and(t5,t6)))))]]) ).
cnf(refute_0_8807,plain,
( not(X_333) != xor(t5,xor(t6,xor(X_333,and(t5,t6))))
| not(X_333) = not(xor(t4,xor(X_333,t4))) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(t6,xor(X_333,and(t5,t6)))),not(xor(t4,xor(X_333,t4)))) )],[refute_0_8805,refute_0_8806]) ).
cnf(refute_0_8808,plain,
not(X_333) = not(xor(t4,xor(X_333,t4))),
inference(resolve,[$cnf( $equal(not(X_333),xor(t5,xor(t6,xor(X_333,and(t5,t6))))) )],[refute_0_8781,refute_0_8807]) ).
cnf(refute_0_8809,plain,
not(X_388) = not(xor(t4,xor(X_388,t4))),
inference(subst,[],[refute_0_8808:[bind(X_333,$fot(X_388))]]) ).
cnf(refute_0_8810,plain,
( not(X_388) != not(xor(t4,xor(X_388,t4)))
| not(xor(t4,xor(X_388,t4))) = not(X_388) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(X_388))),bind(Y0,$fot(not(xor(t4,xor(X_388,t4)))))]]) ).
cnf(refute_0_8811,plain,
not(xor(t4,xor(X_388,t4))) = not(X_388),
inference(resolve,[$cnf( $equal(not(X_388),not(xor(t4,xor(X_388,t4)))) )],[refute_0_8809,refute_0_8810]) ).
cnf(refute_0_8812,plain,
( and(t6,or(xor(t4,xor(X_388,t4)),not(cin))) != xor(t6,and(cin,not(xor(t4,xor(X_388,t4)))))
| not(xor(t4,xor(X_388,t4))) != not(X_388)
| and(t6,or(xor(t4,xor(X_388,t4)),not(cin))) = xor(t6,and(cin,not(X_388))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(xor(t4,xor(X_388,t4)),not(cin))),xor(t6,and(cin,not(xor(t4,xor(X_388,t4)))))) ),[1,1,1],$fot(not(X_388))]]) ).
cnf(refute_0_8813,plain,
( and(t6,or(xor(t4,xor(X_388,t4)),not(cin))) != xor(t6,and(cin,not(xor(t4,xor(X_388,t4)))))
| and(t6,or(xor(t4,xor(X_388,t4)),not(cin))) = xor(t6,and(cin,not(X_388))) ),
inference(resolve,[$cnf( $equal(not(xor(t4,xor(X_388,t4))),not(X_388)) )],[refute_0_8811,refute_0_8812]) ).
cnf(refute_0_8814,plain,
and(t6,or(xor(t4,xor(X_388,t4)),not(cin))) = xor(t6,and(cin,not(X_388))),
inference(resolve,[$cnf( $equal(and(t6,or(xor(t4,xor(X_388,t4)),not(cin))),xor(t6,and(cin,not(xor(t4,xor(X_388,t4)))))) )],[refute_0_8760,refute_0_8813]) ).
cnf(refute_0_8815,plain,
and(t6,or(xor(b,xor(X_386,b)),not(cin))) = xor(t6,and(cin,not(xor(b,xor(X_386,b))))),
inference(subst,[],[refute_0_7533:[bind(X,$fot(xor(b,xor(X_386,b))))]]) ).
cnf(refute_0_8816,plain,
xor(X_333,xor(and(t1,t3),xor(t1,t3))) = xor(xor(X_333,and(t1,t3)),xor(t1,t3)),
inference(subst,[],[xor_associative:[bind(X,$fot(X_333)),bind(Y,$fot(and(t1,t3))),bind(Z,$fot(xor(t1,t3)))]]) ).
cnf(refute_0_8817,plain,
ll1 = xor(and(t1,t3),not(and(t1,t3))),
inference(subst,[],[refute_0_473:[bind(X_64,$fot(and(t1,t3)))]]) ).
cnf(refute_0_8818,plain,
( ll1 != xor(and(t1,t3),not(and(t1,t3)))
| not(and(t1,t3)) != xor(t1,t3)
| ll1 = xor(and(t1,t3),xor(t1,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,xor(and(t1,t3),not(and(t1,t3)))) ),[1,1],$fot(xor(t1,t3))]]) ).
cnf(refute_0_8819,plain,
( ll1 != xor(and(t1,t3),not(and(t1,t3)))
| ll1 = xor(and(t1,t3),xor(t1,t3)) ),
inference(resolve,[$cnf( $equal(not(and(t1,t3)),xor(t1,t3)) )],[refute_0_3007,refute_0_8818]) ).
cnf(refute_0_8820,plain,
ll1 = xor(and(t1,t3),xor(t1,t3)),
inference(resolve,[$cnf( $equal(ll1,xor(and(t1,t3),not(and(t1,t3)))) )],[refute_0_8817,refute_0_8819]) ).
cnf(refute_0_8821,plain,
( ll1 != xor(and(t1,t3),xor(t1,t3))
| xor(and(t1,t3),xor(t1,t3)) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(xor(and(t1,t3),xor(t1,t3))))]]) ).
cnf(refute_0_8822,plain,
xor(and(t1,t3),xor(t1,t3)) = ll1,
inference(resolve,[$cnf( $equal(ll1,xor(and(t1,t3),xor(t1,t3))) )],[refute_0_8820,refute_0_8821]) ).
cnf(refute_0_8823,plain,
( xor(X_333,xor(and(t1,t3),xor(t1,t3))) != xor(xor(X_333,and(t1,t3)),xor(t1,t3))
| xor(and(t1,t3),xor(t1,t3)) != ll1
| xor(X_333,ll1) = xor(xor(X_333,and(t1,t3)),xor(t1,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,xor(and(t1,t3),xor(t1,t3))),xor(xor(X_333,and(t1,t3)),xor(t1,t3))) ),[0,1],$fot(ll1)]]) ).
cnf(refute_0_8824,plain,
( xor(X_333,xor(and(t1,t3),xor(t1,t3))) != xor(xor(X_333,and(t1,t3)),xor(t1,t3))
| xor(X_333,ll1) = xor(xor(X_333,and(t1,t3)),xor(t1,t3)) ),
inference(resolve,[$cnf( $equal(xor(and(t1,t3),xor(t1,t3)),ll1) )],[refute_0_8822,refute_0_8823]) ).
cnf(refute_0_8825,plain,
xor(X_333,ll1) = xor(xor(X_333,and(t1,t3)),xor(t1,t3)),
inference(resolve,[$cnf( $equal(xor(X_333,xor(and(t1,t3),xor(t1,t3))),xor(xor(X_333,and(t1,t3)),xor(t1,t3))) )],[refute_0_8816,refute_0_8824]) ).
cnf(refute_0_8826,plain,
( xor(X_333,ll1) != not(X_333)
| xor(X_333,ll1) != xor(xor(X_333,and(t1,t3)),xor(t1,t3))
| not(X_333) = xor(xor(X_333,and(t1,t3)),xor(t1,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,ll1),xor(xor(X_333,and(t1,t3)),xor(t1,t3))) ),[0],$fot(not(X_333))]]) ).
cnf(refute_0_8827,plain,
( xor(X_333,ll1) != xor(xor(X_333,and(t1,t3)),xor(t1,t3))
| not(X_333) = xor(xor(X_333,and(t1,t3)),xor(t1,t3)) ),
inference(resolve,[$cnf( $equal(xor(X_333,ll1),not(X_333)) )],[refute_0_3465,refute_0_8826]) ).
cnf(refute_0_8828,plain,
xor(t3,xor(xor(X_333,and(t1,t3)),t1)) = xor(t1,xor(t3,xor(X_333,and(t1,t3)))),
inference(subst,[],[refute_0_1453:[bind(X,$fot(t1)),bind(X_333,$fot(t3)),bind(X_334,$fot(xor(X_333,and(t1,t3))))]]) ).
cnf(refute_0_8829,plain,
xor(xor(X_333,and(t1,t3)),xor(t1,t3)) = xor(t3,xor(xor(X_333,and(t1,t3)),t1)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(t3)),bind(X_333,$fot(xor(X_333,and(t1,t3)))),bind(X_334,$fot(t1))]]) ).
cnf(refute_0_8830,plain,
( xor(t3,xor(xor(X_333,and(t1,t3)),t1)) != xor(t1,xor(t3,xor(X_333,and(t1,t3))))
| xor(xor(X_333,and(t1,t3)),xor(t1,t3)) != xor(t3,xor(xor(X_333,and(t1,t3)),t1))
| xor(xor(X_333,and(t1,t3)),xor(t1,t3)) = xor(t1,xor(t3,xor(X_333,and(t1,t3)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X_333,and(t1,t3)),xor(t1,t3)))),bind(Y0,$fot(xor(t3,xor(xor(X_333,and(t1,t3)),t1)))),bind(Z0,$fot(xor(t1,xor(t3,xor(X_333,and(t1,t3))))))]]) ).
cnf(refute_0_8831,plain,
( xor(t3,xor(xor(X_333,and(t1,t3)),t1)) != xor(t1,xor(t3,xor(X_333,and(t1,t3))))
| xor(xor(X_333,and(t1,t3)),xor(t1,t3)) = xor(t1,xor(t3,xor(X_333,and(t1,t3)))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,and(t1,t3)),xor(t1,t3)),xor(t3,xor(xor(X_333,and(t1,t3)),t1))) )],[refute_0_8829,refute_0_8830]) ).
cnf(refute_0_8832,plain,
xor(xor(X_333,and(t1,t3)),xor(t1,t3)) = xor(t1,xor(t3,xor(X_333,and(t1,t3)))),
inference(resolve,[$cnf( $equal(xor(t3,xor(xor(X_333,and(t1,t3)),t1)),xor(t1,xor(t3,xor(X_333,and(t1,t3))))) )],[refute_0_8828,refute_0_8831]) ).
cnf(refute_0_8833,plain,
( not(X_333) != xor(xor(X_333,and(t1,t3)),xor(t1,t3))
| xor(xor(X_333,and(t1,t3)),xor(t1,t3)) != xor(t1,xor(t3,xor(X_333,and(t1,t3))))
| not(X_333) = xor(t1,xor(t3,xor(X_333,and(t1,t3)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(X_333),xor(t1,xor(t3,xor(X_333,and(t1,t3))))) ),[0],$fot(xor(xor(X_333,and(t1,t3)),xor(t1,t3)))]]) ).
cnf(refute_0_8834,plain,
( not(X_333) != xor(xor(X_333,and(t1,t3)),xor(t1,t3))
| not(X_333) = xor(t1,xor(t3,xor(X_333,and(t1,t3)))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,and(t1,t3)),xor(t1,t3)),xor(t1,xor(t3,xor(X_333,and(t1,t3))))) )],[refute_0_8832,refute_0_8833]) ).
cnf(refute_0_8835,plain,
( xor(X_333,ll1) != xor(xor(X_333,and(t1,t3)),xor(t1,t3))
| not(X_333) = xor(t1,xor(t3,xor(X_333,and(t1,t3)))) ),
inference(resolve,[$cnf( $equal(not(X_333),xor(xor(X_333,and(t1,t3)),xor(t1,t3))) )],[refute_0_8827,refute_0_8834]) ).
cnf(refute_0_8836,plain,
not(X_333) = xor(t1,xor(t3,xor(X_333,and(t1,t3)))),
inference(resolve,[$cnf( $equal(xor(X_333,ll1),xor(xor(X_333,and(t1,t3)),xor(t1,t3))) )],[refute_0_8825,refute_0_8835]) ).
cnf(refute_0_8837,plain,
xor(b,not(xor(X_333,b))) = not(xor(b,xor(X_333,b))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(b)),bind(X_334,$fot(xor(X_333,b)))]]) ).
cnf(refute_0_8838,plain,
xor(X_333,not(b)) = not(xor(X_333,b)),
inference(subst,[],[refute_0_1139:[bind(X_334,$fot(b))]]) ).
cnf(refute_0_8839,plain,
xor(X_333,and(t1,t3)) = xor(X_333,and(t1,t3)),
introduced(tautology,[refl,[$fot(xor(X_333,and(t1,t3)))]]) ).
cnf(refute_0_8840,plain,
( and(t1,t3) != not(b)
| xor(X_333,and(t1,t3)) != xor(X_333,and(t1,t3))
| xor(X_333,and(t1,t3)) = xor(X_333,not(b)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,and(t1,t3)),xor(X_333,and(t1,t3))) ),[1,1],$fot(not(b))]]) ).
cnf(refute_0_8841,plain,
( and(t1,t3) != not(b)
| xor(X_333,and(t1,t3)) = xor(X_333,not(b)) ),
inference(resolve,[$cnf( $equal(xor(X_333,and(t1,t3)),xor(X_333,and(t1,t3))) )],[refute_0_8839,refute_0_8840]) ).
cnf(refute_0_8842,plain,
xor(X_333,and(t1,t3)) = xor(X_333,not(b)),
inference(resolve,[$cnf( $equal(and(t1,t3),not(b)) )],[refute_0_3032,refute_0_8841]) ).
cnf(refute_0_8843,plain,
( xor(X_333,and(t1,t3)) != xor(X_333,not(b))
| xor(X_333,not(b)) != not(xor(X_333,b))
| xor(X_333,and(t1,t3)) = not(xor(X_333,b)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(X_333,and(t1,t3)))),bind(Y0,$fot(xor(X_333,not(b)))),bind(Z0,$fot(not(xor(X_333,b))))]]) ).
cnf(refute_0_8844,plain,
( xor(X_333,not(b)) != not(xor(X_333,b))
| xor(X_333,and(t1,t3)) = not(xor(X_333,b)) ),
inference(resolve,[$cnf( $equal(xor(X_333,and(t1,t3)),xor(X_333,not(b))) )],[refute_0_8842,refute_0_8843]) ).
cnf(refute_0_8845,plain,
xor(X_333,and(t1,t3)) = not(xor(X_333,b)),
inference(resolve,[$cnf( $equal(xor(X_333,not(b)),not(xor(X_333,b))) )],[refute_0_8838,refute_0_8844]) ).
cnf(refute_0_8846,plain,
xor(b,xor(X_333,and(t1,t3))) = xor(b,xor(X_333,and(t1,t3))),
introduced(tautology,[refl,[$fot(xor(b,xor(X_333,and(t1,t3))))]]) ).
cnf(refute_0_8847,plain,
( xor(X_333,and(t1,t3)) != not(xor(X_333,b))
| xor(b,xor(X_333,and(t1,t3))) != xor(b,xor(X_333,and(t1,t3)))
| xor(b,xor(X_333,and(t1,t3))) = xor(b,not(xor(X_333,b))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,xor(X_333,and(t1,t3))),xor(b,xor(X_333,and(t1,t3)))) ),[1,1],$fot(not(xor(X_333,b)))]]) ).
cnf(refute_0_8848,plain,
( xor(X_333,and(t1,t3)) != not(xor(X_333,b))
| xor(b,xor(X_333,and(t1,t3))) = xor(b,not(xor(X_333,b))) ),
inference(resolve,[$cnf( $equal(xor(b,xor(X_333,and(t1,t3))),xor(b,xor(X_333,and(t1,t3)))) )],[refute_0_8846,refute_0_8847]) ).
cnf(refute_0_8849,plain,
xor(b,xor(X_333,and(t1,t3))) = xor(b,not(xor(X_333,b))),
inference(resolve,[$cnf( $equal(xor(X_333,and(t1,t3)),not(xor(X_333,b))) )],[refute_0_8845,refute_0_8848]) ).
cnf(refute_0_8850,plain,
( xor(b,not(xor(X_333,b))) != not(xor(b,xor(X_333,b)))
| xor(b,xor(X_333,and(t1,t3))) != xor(b,not(xor(X_333,b)))
| xor(b,xor(X_333,and(t1,t3))) = not(xor(b,xor(X_333,b))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(b,xor(X_333,and(t1,t3))))),bind(Y0,$fot(xor(b,not(xor(X_333,b))))),bind(Z0,$fot(not(xor(b,xor(X_333,b)))))]]) ).
cnf(refute_0_8851,plain,
( xor(b,not(xor(X_333,b))) != not(xor(b,xor(X_333,b)))
| xor(b,xor(X_333,and(t1,t3))) = not(xor(b,xor(X_333,b))) ),
inference(resolve,[$cnf( $equal(xor(b,xor(X_333,and(t1,t3))),xor(b,not(xor(X_333,b)))) )],[refute_0_8849,refute_0_8850]) ).
cnf(refute_0_8852,plain,
xor(b,xor(X_333,and(t1,t3))) = not(xor(b,xor(X_333,b))),
inference(resolve,[$cnf( $equal(xor(b,not(xor(X_333,b))),not(xor(b,xor(X_333,b)))) )],[refute_0_8837,refute_0_8851]) ).
cnf(refute_0_8853,plain,
xor(t1,xor(t3,Z)) = xor(xor(t1,t3),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(t1)),bind(Y,$fot(t3))]]) ).
cnf(refute_0_8854,plain,
( xor(t1,t3) != b
| xor(t1,xor(t3,Z)) != xor(xor(t1,t3),Z)
| xor(t1,xor(t3,Z)) = xor(b,Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,xor(t3,Z)),xor(xor(t1,t3),Z)) ),[1,0],$fot(b)]]) ).
cnf(refute_0_8855,plain,
( xor(t1,xor(t3,Z)) != xor(xor(t1,t3),Z)
| xor(t1,xor(t3,Z)) = xor(b,Z) ),
inference(resolve,[$cnf( $equal(xor(t1,t3),b) )],[refute_0_1872,refute_0_8854]) ).
cnf(refute_0_8856,plain,
xor(t1,xor(t3,Z)) = xor(b,Z),
inference(resolve,[$cnf( $equal(xor(t1,xor(t3,Z)),xor(xor(t1,t3),Z)) )],[refute_0_8853,refute_0_8855]) ).
cnf(refute_0_8857,plain,
xor(t1,xor(t3,xor(X_333,and(t1,t3)))) = xor(b,xor(X_333,and(t1,t3))),
inference(subst,[],[refute_0_8856:[bind(Z,$fot(xor(X_333,and(t1,t3))))]]) ).
cnf(refute_0_8858,plain,
( xor(b,xor(X_333,and(t1,t3))) != not(xor(b,xor(X_333,b)))
| xor(t1,xor(t3,xor(X_333,and(t1,t3)))) != xor(b,xor(X_333,and(t1,t3)))
| xor(t1,xor(t3,xor(X_333,and(t1,t3)))) = not(xor(b,xor(X_333,b))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t1,xor(t3,xor(X_333,and(t1,t3)))))),bind(Y0,$fot(xor(b,xor(X_333,and(t1,t3))))),bind(Z0,$fot(not(xor(b,xor(X_333,b)))))]]) ).
cnf(refute_0_8859,plain,
( xor(b,xor(X_333,and(t1,t3))) != not(xor(b,xor(X_333,b)))
| xor(t1,xor(t3,xor(X_333,and(t1,t3)))) = not(xor(b,xor(X_333,b))) ),
inference(resolve,[$cnf( $equal(xor(t1,xor(t3,xor(X_333,and(t1,t3)))),xor(b,xor(X_333,and(t1,t3)))) )],[refute_0_8857,refute_0_8858]) ).
cnf(refute_0_8860,plain,
xor(t1,xor(t3,xor(X_333,and(t1,t3)))) = not(xor(b,xor(X_333,b))),
inference(resolve,[$cnf( $equal(xor(b,xor(X_333,and(t1,t3))),not(xor(b,xor(X_333,b)))) )],[refute_0_8852,refute_0_8859]) ).
cnf(refute_0_8861,plain,
( not(X_333) != xor(t1,xor(t3,xor(X_333,and(t1,t3))))
| xor(t1,xor(t3,xor(X_333,and(t1,t3)))) != not(xor(b,xor(X_333,b)))
| not(X_333) = not(xor(b,xor(X_333,b))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(X_333),not(xor(b,xor(X_333,b)))) ),[0],$fot(xor(t1,xor(t3,xor(X_333,and(t1,t3)))))]]) ).
cnf(refute_0_8862,plain,
( not(X_333) != xor(t1,xor(t3,xor(X_333,and(t1,t3))))
| not(X_333) = not(xor(b,xor(X_333,b))) ),
inference(resolve,[$cnf( $equal(xor(t1,xor(t3,xor(X_333,and(t1,t3)))),not(xor(b,xor(X_333,b)))) )],[refute_0_8860,refute_0_8861]) ).
cnf(refute_0_8863,plain,
not(X_333) = not(xor(b,xor(X_333,b))),
inference(resolve,[$cnf( $equal(not(X_333),xor(t1,xor(t3,xor(X_333,and(t1,t3))))) )],[refute_0_8836,refute_0_8862]) ).
cnf(refute_0_8864,plain,
not(X_386) = not(xor(b,xor(X_386,b))),
inference(subst,[],[refute_0_8863:[bind(X_333,$fot(X_386))]]) ).
cnf(refute_0_8865,plain,
( not(X_386) != not(xor(b,xor(X_386,b)))
| not(xor(b,xor(X_386,b))) = not(X_386) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(X_386))),bind(Y0,$fot(not(xor(b,xor(X_386,b)))))]]) ).
cnf(refute_0_8866,plain,
not(xor(b,xor(X_386,b))) = not(X_386),
inference(resolve,[$cnf( $equal(not(X_386),not(xor(b,xor(X_386,b)))) )],[refute_0_8864,refute_0_8865]) ).
cnf(refute_0_8867,plain,
( and(t6,or(xor(b,xor(X_386,b)),not(cin))) != xor(t6,and(cin,not(xor(b,xor(X_386,b)))))
| not(xor(b,xor(X_386,b))) != not(X_386)
| and(t6,or(xor(b,xor(X_386,b)),not(cin))) = xor(t6,and(cin,not(X_386))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(xor(b,xor(X_386,b)),not(cin))),xor(t6,and(cin,not(xor(b,xor(X_386,b)))))) ),[1,1,1],$fot(not(X_386))]]) ).
cnf(refute_0_8868,plain,
( and(t6,or(xor(b,xor(X_386,b)),not(cin))) != xor(t6,and(cin,not(xor(b,xor(X_386,b)))))
| and(t6,or(xor(b,xor(X_386,b)),not(cin))) = xor(t6,and(cin,not(X_386))) ),
inference(resolve,[$cnf( $equal(not(xor(b,xor(X_386,b))),not(X_386)) )],[refute_0_8866,refute_0_8867]) ).
cnf(refute_0_8869,plain,
and(t6,or(xor(b,xor(X_386,b)),not(cin))) = xor(t6,and(cin,not(X_386))),
inference(resolve,[$cnf( $equal(and(t6,or(xor(b,xor(X_386,b)),not(cin))),xor(t6,and(cin,not(xor(b,xor(X_386,b)))))) )],[refute_0_8815,refute_0_8868]) ).
cnf(refute_0_8870,plain,
and(t6,or(xor(t5,xor(X_358,t5)),not(cin))) = xor(t6,and(cin,not(xor(t5,xor(X_358,t5))))),
inference(subst,[],[refute_0_7533:[bind(X,$fot(xor(t5,xor(X_358,t5))))]]) ).
cnf(refute_0_8871,plain,
not(xor(t5,xor(X_358,t5))) = not(X_358),
inference(subst,[],[refute_0_5232:[bind(X_335,$fot(X_358))]]) ).
cnf(refute_0_8872,plain,
( and(t6,or(xor(t5,xor(X_358,t5)),not(cin))) != xor(t6,and(cin,not(xor(t5,xor(X_358,t5)))))
| not(xor(t5,xor(X_358,t5))) != not(X_358)
| and(t6,or(xor(t5,xor(X_358,t5)),not(cin))) = xor(t6,and(cin,not(X_358))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(xor(t5,xor(X_358,t5)),not(cin))),xor(t6,and(cin,not(xor(t5,xor(X_358,t5)))))) ),[1,1,1],$fot(not(X_358))]]) ).
cnf(refute_0_8873,plain,
( and(t6,or(xor(t5,xor(X_358,t5)),not(cin))) != xor(t6,and(cin,not(xor(t5,xor(X_358,t5)))))
| and(t6,or(xor(t5,xor(X_358,t5)),not(cin))) = xor(t6,and(cin,not(X_358))) ),
inference(resolve,[$cnf( $equal(not(xor(t5,xor(X_358,t5))),not(X_358)) )],[refute_0_8871,refute_0_8872]) ).
cnf(refute_0_8874,plain,
and(t6,or(xor(t5,xor(X_358,t5)),not(cin))) = xor(t6,and(cin,not(X_358))),
inference(resolve,[$cnf( $equal(and(t6,or(xor(t5,xor(X_358,t5)),not(cin))),xor(t6,and(cin,not(xor(t5,xor(X_358,t5)))))) )],[refute_0_8870,refute_0_8873]) ).
cnf(refute_0_8875,plain,
and(t6,or(xor(cin,xor(X_351,cin)),not(cin))) = xor(t6,and(cin,not(xor(cin,xor(X_351,cin))))),
inference(subst,[],[refute_0_7533:[bind(X,$fot(xor(cin,xor(X_351,cin))))]]) ).
cnf(refute_0_8876,plain,
xor(X_333,xor(and(t5,t7),xor(t5,t7))) = xor(xor(X_333,and(t5,t7)),xor(t5,t7)),
inference(subst,[],[xor_associative:[bind(X,$fot(X_333)),bind(Y,$fot(and(t5,t7))),bind(Z,$fot(xor(t5,t7)))]]) ).
cnf(refute_0_8877,plain,
( xor(X_333,xor(and(t5,t7),xor(t5,t7))) != xor(xor(X_333,and(t5,t7)),xor(t5,t7))
| xor(and(t5,t7),xor(t5,t7)) != ll1
| xor(X_333,ll1) = xor(xor(X_333,and(t5,t7)),xor(t5,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,xor(and(t5,t7),xor(t5,t7))),xor(xor(X_333,and(t5,t7)),xor(t5,t7))) ),[0,1],$fot(ll1)]]) ).
cnf(refute_0_8878,plain,
( xor(X_333,xor(and(t5,t7),xor(t5,t7))) != xor(xor(X_333,and(t5,t7)),xor(t5,t7))
| xor(X_333,ll1) = xor(xor(X_333,and(t5,t7)),xor(t5,t7)) ),
inference(resolve,[$cnf( $equal(xor(and(t5,t7),xor(t5,t7)),ll1) )],[refute_0_3982,refute_0_8877]) ).
cnf(refute_0_8879,plain,
xor(X_333,ll1) = xor(xor(X_333,and(t5,t7)),xor(t5,t7)),
inference(resolve,[$cnf( $equal(xor(X_333,xor(and(t5,t7),xor(t5,t7))),xor(xor(X_333,and(t5,t7)),xor(t5,t7))) )],[refute_0_8876,refute_0_8878]) ).
cnf(refute_0_8880,plain,
( xor(X_333,ll1) != not(X_333)
| xor(X_333,ll1) != xor(xor(X_333,and(t5,t7)),xor(t5,t7))
| not(X_333) = xor(xor(X_333,and(t5,t7)),xor(t5,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,ll1),xor(xor(X_333,and(t5,t7)),xor(t5,t7))) ),[0],$fot(not(X_333))]]) ).
cnf(refute_0_8881,plain,
( xor(X_333,ll1) != xor(xor(X_333,and(t5,t7)),xor(t5,t7))
| not(X_333) = xor(xor(X_333,and(t5,t7)),xor(t5,t7)) ),
inference(resolve,[$cnf( $equal(xor(X_333,ll1),not(X_333)) )],[refute_0_3465,refute_0_8880]) ).
cnf(refute_0_8882,plain,
xor(t7,xor(xor(X_333,and(t5,t7)),t5)) = xor(t5,xor(t7,xor(X_333,and(t5,t7)))),
inference(subst,[],[refute_0_1453:[bind(X,$fot(t5)),bind(X_333,$fot(t7)),bind(X_334,$fot(xor(X_333,and(t5,t7))))]]) ).
cnf(refute_0_8883,plain,
xor(xor(X_333,and(t5,t7)),xor(t5,t7)) = xor(t7,xor(xor(X_333,and(t5,t7)),t5)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(t7)),bind(X_333,$fot(xor(X_333,and(t5,t7)))),bind(X_334,$fot(t5))]]) ).
cnf(refute_0_8884,plain,
( xor(t7,xor(xor(X_333,and(t5,t7)),t5)) != xor(t5,xor(t7,xor(X_333,and(t5,t7))))
| xor(xor(X_333,and(t5,t7)),xor(t5,t7)) != xor(t7,xor(xor(X_333,and(t5,t7)),t5))
| xor(xor(X_333,and(t5,t7)),xor(t5,t7)) = xor(t5,xor(t7,xor(X_333,and(t5,t7)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X_333,and(t5,t7)),xor(t5,t7)))),bind(Y0,$fot(xor(t7,xor(xor(X_333,and(t5,t7)),t5)))),bind(Z0,$fot(xor(t5,xor(t7,xor(X_333,and(t5,t7))))))]]) ).
cnf(refute_0_8885,plain,
( xor(t7,xor(xor(X_333,and(t5,t7)),t5)) != xor(t5,xor(t7,xor(X_333,and(t5,t7))))
| xor(xor(X_333,and(t5,t7)),xor(t5,t7)) = xor(t5,xor(t7,xor(X_333,and(t5,t7)))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,and(t5,t7)),xor(t5,t7)),xor(t7,xor(xor(X_333,and(t5,t7)),t5))) )],[refute_0_8883,refute_0_8884]) ).
cnf(refute_0_8886,plain,
xor(xor(X_333,and(t5,t7)),xor(t5,t7)) = xor(t5,xor(t7,xor(X_333,and(t5,t7)))),
inference(resolve,[$cnf( $equal(xor(t7,xor(xor(X_333,and(t5,t7)),t5)),xor(t5,xor(t7,xor(X_333,and(t5,t7))))) )],[refute_0_8882,refute_0_8885]) ).
cnf(refute_0_8887,plain,
( not(X_333) != xor(xor(X_333,and(t5,t7)),xor(t5,t7))
| xor(xor(X_333,and(t5,t7)),xor(t5,t7)) != xor(t5,xor(t7,xor(X_333,and(t5,t7))))
| not(X_333) = xor(t5,xor(t7,xor(X_333,and(t5,t7)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(X_333),xor(t5,xor(t7,xor(X_333,and(t5,t7))))) ),[0],$fot(xor(xor(X_333,and(t5,t7)),xor(t5,t7)))]]) ).
cnf(refute_0_8888,plain,
( not(X_333) != xor(xor(X_333,and(t5,t7)),xor(t5,t7))
| not(X_333) = xor(t5,xor(t7,xor(X_333,and(t5,t7)))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,and(t5,t7)),xor(t5,t7)),xor(t5,xor(t7,xor(X_333,and(t5,t7))))) )],[refute_0_8886,refute_0_8887]) ).
cnf(refute_0_8889,plain,
( xor(X_333,ll1) != xor(xor(X_333,and(t5,t7)),xor(t5,t7))
| not(X_333) = xor(t5,xor(t7,xor(X_333,and(t5,t7)))) ),
inference(resolve,[$cnf( $equal(not(X_333),xor(xor(X_333,and(t5,t7)),xor(t5,t7))) )],[refute_0_8881,refute_0_8888]) ).
cnf(refute_0_8890,plain,
not(X_333) = xor(t5,xor(t7,xor(X_333,and(t5,t7)))),
inference(resolve,[$cnf( $equal(xor(X_333,ll1),xor(xor(X_333,and(t5,t7)),xor(t5,t7))) )],[refute_0_8879,refute_0_8889]) ).
cnf(refute_0_8891,plain,
xor(cin,not(xor(X_333,cin))) = not(xor(cin,xor(X_333,cin))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(cin)),bind(X_334,$fot(xor(X_333,cin)))]]) ).
cnf(refute_0_8892,plain,
xor(X_333,not(cin)) = not(xor(X_333,cin)),
inference(subst,[],[refute_0_1139:[bind(X_334,$fot(cin))]]) ).
cnf(refute_0_8893,plain,
xor(X_333,and(t5,t7)) = xor(X_333,and(t5,t7)),
introduced(tautology,[refl,[$fot(xor(X_333,and(t5,t7)))]]) ).
cnf(refute_0_8894,plain,
( and(t5,t7) != not(cin)
| xor(X_333,and(t5,t7)) != xor(X_333,and(t5,t7))
| xor(X_333,and(t5,t7)) = xor(X_333,not(cin)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,and(t5,t7)),xor(X_333,and(t5,t7))) ),[1,1],$fot(not(cin))]]) ).
cnf(refute_0_8895,plain,
( and(t5,t7) != not(cin)
| xor(X_333,and(t5,t7)) = xor(X_333,not(cin)) ),
inference(resolve,[$cnf( $equal(xor(X_333,and(t5,t7)),xor(X_333,and(t5,t7))) )],[refute_0_8893,refute_0_8894]) ).
cnf(refute_0_8896,plain,
xor(X_333,and(t5,t7)) = xor(X_333,not(cin)),
inference(resolve,[$cnf( $equal(and(t5,t7),not(cin)) )],[refute_0_4015,refute_0_8895]) ).
cnf(refute_0_8897,plain,
( xor(X_333,and(t5,t7)) != xor(X_333,not(cin))
| xor(X_333,not(cin)) != not(xor(X_333,cin))
| xor(X_333,and(t5,t7)) = not(xor(X_333,cin)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(X_333,and(t5,t7)))),bind(Y0,$fot(xor(X_333,not(cin)))),bind(Z0,$fot(not(xor(X_333,cin))))]]) ).
cnf(refute_0_8898,plain,
( xor(X_333,not(cin)) != not(xor(X_333,cin))
| xor(X_333,and(t5,t7)) = not(xor(X_333,cin)) ),
inference(resolve,[$cnf( $equal(xor(X_333,and(t5,t7)),xor(X_333,not(cin))) )],[refute_0_8896,refute_0_8897]) ).
cnf(refute_0_8899,plain,
xor(X_333,and(t5,t7)) = not(xor(X_333,cin)),
inference(resolve,[$cnf( $equal(xor(X_333,not(cin)),not(xor(X_333,cin))) )],[refute_0_8892,refute_0_8898]) ).
cnf(refute_0_8900,plain,
xor(cin,xor(X_333,and(t5,t7))) = xor(cin,xor(X_333,and(t5,t7))),
introduced(tautology,[refl,[$fot(xor(cin,xor(X_333,and(t5,t7))))]]) ).
cnf(refute_0_8901,plain,
( xor(X_333,and(t5,t7)) != not(xor(X_333,cin))
| xor(cin,xor(X_333,and(t5,t7))) != xor(cin,xor(X_333,and(t5,t7)))
| xor(cin,xor(X_333,and(t5,t7))) = xor(cin,not(xor(X_333,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(X_333,and(t5,t7))),xor(cin,xor(X_333,and(t5,t7)))) ),[1,1],$fot(not(xor(X_333,cin)))]]) ).
cnf(refute_0_8902,plain,
( xor(X_333,and(t5,t7)) != not(xor(X_333,cin))
| xor(cin,xor(X_333,and(t5,t7))) = xor(cin,not(xor(X_333,cin))) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(X_333,and(t5,t7))),xor(cin,xor(X_333,and(t5,t7)))) )],[refute_0_8900,refute_0_8901]) ).
cnf(refute_0_8903,plain,
xor(cin,xor(X_333,and(t5,t7))) = xor(cin,not(xor(X_333,cin))),
inference(resolve,[$cnf( $equal(xor(X_333,and(t5,t7)),not(xor(X_333,cin))) )],[refute_0_8899,refute_0_8902]) ).
cnf(refute_0_8904,plain,
( xor(cin,not(xor(X_333,cin))) != not(xor(cin,xor(X_333,cin)))
| xor(cin,xor(X_333,and(t5,t7))) != xor(cin,not(xor(X_333,cin)))
| xor(cin,xor(X_333,and(t5,t7))) = not(xor(cin,xor(X_333,cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(cin,xor(X_333,and(t5,t7))))),bind(Y0,$fot(xor(cin,not(xor(X_333,cin))))),bind(Z0,$fot(not(xor(cin,xor(X_333,cin)))))]]) ).
cnf(refute_0_8905,plain,
( xor(cin,not(xor(X_333,cin))) != not(xor(cin,xor(X_333,cin)))
| xor(cin,xor(X_333,and(t5,t7))) = not(xor(cin,xor(X_333,cin))) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(X_333,and(t5,t7))),xor(cin,not(xor(X_333,cin)))) )],[refute_0_8903,refute_0_8904]) ).
cnf(refute_0_8906,plain,
xor(cin,xor(X_333,and(t5,t7))) = not(xor(cin,xor(X_333,cin))),
inference(resolve,[$cnf( $equal(xor(cin,not(xor(X_333,cin))),not(xor(cin,xor(X_333,cin)))) )],[refute_0_8891,refute_0_8905]) ).
cnf(refute_0_8907,plain,
xor(t5,xor(t7,Z)) = xor(xor(t5,t7),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(t5)),bind(Y,$fot(t7))]]) ).
cnf(refute_0_8908,plain,
( xor(t5,t7) != cin
| xor(t5,xor(t7,Z)) != xor(xor(t5,t7),Z)
| xor(t5,xor(t7,Z)) = xor(cin,Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t5,xor(t7,Z)),xor(xor(t5,t7),Z)) ),[1,0],$fot(cin)]]) ).
cnf(refute_0_8909,plain,
( xor(t5,xor(t7,Z)) != xor(xor(t5,t7),Z)
| xor(t5,xor(t7,Z)) = xor(cin,Z) ),
inference(resolve,[$cnf( $equal(xor(t5,t7),cin) )],[refute_0_4699,refute_0_8908]) ).
cnf(refute_0_8910,plain,
xor(t5,xor(t7,Z)) = xor(cin,Z),
inference(resolve,[$cnf( $equal(xor(t5,xor(t7,Z)),xor(xor(t5,t7),Z)) )],[refute_0_8907,refute_0_8909]) ).
cnf(refute_0_8911,plain,
xor(t5,xor(t7,xor(X_333,and(t5,t7)))) = xor(cin,xor(X_333,and(t5,t7))),
inference(subst,[],[refute_0_8910:[bind(Z,$fot(xor(X_333,and(t5,t7))))]]) ).
cnf(refute_0_8912,plain,
( xor(cin,xor(X_333,and(t5,t7))) != not(xor(cin,xor(X_333,cin)))
| xor(t5,xor(t7,xor(X_333,and(t5,t7)))) != xor(cin,xor(X_333,and(t5,t7)))
| xor(t5,xor(t7,xor(X_333,and(t5,t7)))) = not(xor(cin,xor(X_333,cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t5,xor(t7,xor(X_333,and(t5,t7)))))),bind(Y0,$fot(xor(cin,xor(X_333,and(t5,t7))))),bind(Z0,$fot(not(xor(cin,xor(X_333,cin)))))]]) ).
cnf(refute_0_8913,plain,
( xor(cin,xor(X_333,and(t5,t7))) != not(xor(cin,xor(X_333,cin)))
| xor(t5,xor(t7,xor(X_333,and(t5,t7)))) = not(xor(cin,xor(X_333,cin))) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(t7,xor(X_333,and(t5,t7)))),xor(cin,xor(X_333,and(t5,t7)))) )],[refute_0_8911,refute_0_8912]) ).
cnf(refute_0_8914,plain,
xor(t5,xor(t7,xor(X_333,and(t5,t7)))) = not(xor(cin,xor(X_333,cin))),
inference(resolve,[$cnf( $equal(xor(cin,xor(X_333,and(t5,t7))),not(xor(cin,xor(X_333,cin)))) )],[refute_0_8906,refute_0_8913]) ).
cnf(refute_0_8915,plain,
( not(X_333) != xor(t5,xor(t7,xor(X_333,and(t5,t7))))
| xor(t5,xor(t7,xor(X_333,and(t5,t7)))) != not(xor(cin,xor(X_333,cin)))
| not(X_333) = not(xor(cin,xor(X_333,cin))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(X_333),not(xor(cin,xor(X_333,cin)))) ),[0],$fot(xor(t5,xor(t7,xor(X_333,and(t5,t7)))))]]) ).
cnf(refute_0_8916,plain,
( not(X_333) != xor(t5,xor(t7,xor(X_333,and(t5,t7))))
| not(X_333) = not(xor(cin,xor(X_333,cin))) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(t7,xor(X_333,and(t5,t7)))),not(xor(cin,xor(X_333,cin)))) )],[refute_0_8914,refute_0_8915]) ).
cnf(refute_0_8917,plain,
not(X_333) = not(xor(cin,xor(X_333,cin))),
inference(resolve,[$cnf( $equal(not(X_333),xor(t5,xor(t7,xor(X_333,and(t5,t7))))) )],[refute_0_8890,refute_0_8916]) ).
cnf(refute_0_8918,plain,
not(X_351) = not(xor(cin,xor(X_351,cin))),
inference(subst,[],[refute_0_8917:[bind(X_333,$fot(X_351))]]) ).
cnf(refute_0_8919,plain,
( not(X_351) != not(xor(cin,xor(X_351,cin)))
| not(xor(cin,xor(X_351,cin))) = not(X_351) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(X_351))),bind(Y0,$fot(not(xor(cin,xor(X_351,cin)))))]]) ).
cnf(refute_0_8920,plain,
not(xor(cin,xor(X_351,cin))) = not(X_351),
inference(resolve,[$cnf( $equal(not(X_351),not(xor(cin,xor(X_351,cin)))) )],[refute_0_8918,refute_0_8919]) ).
cnf(refute_0_8921,plain,
( and(t6,or(xor(cin,xor(X_351,cin)),not(cin))) != xor(t6,and(cin,not(xor(cin,xor(X_351,cin)))))
| not(xor(cin,xor(X_351,cin))) != not(X_351)
| and(t6,or(xor(cin,xor(X_351,cin)),not(cin))) = xor(t6,and(cin,not(X_351))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(xor(cin,xor(X_351,cin)),not(cin))),xor(t6,and(cin,not(xor(cin,xor(X_351,cin)))))) ),[1,1,1],$fot(not(X_351))]]) ).
cnf(refute_0_8922,plain,
( and(t6,or(xor(cin,xor(X_351,cin)),not(cin))) != xor(t6,and(cin,not(xor(cin,xor(X_351,cin)))))
| and(t6,or(xor(cin,xor(X_351,cin)),not(cin))) = xor(t6,and(cin,not(X_351))) ),
inference(resolve,[$cnf( $equal(not(xor(cin,xor(X_351,cin))),not(X_351)) )],[refute_0_8920,refute_0_8921]) ).
cnf(refute_0_8923,plain,
and(t6,or(xor(cin,xor(X_351,cin)),not(cin))) = xor(t6,and(cin,not(X_351))),
inference(resolve,[$cnf( $equal(and(t6,or(xor(cin,xor(X_351,cin)),not(cin))),xor(t6,and(cin,not(xor(cin,xor(X_351,cin)))))) )],[refute_0_8875,refute_0_8922]) ).
cnf(refute_0_8924,plain,
and(t6,or(xor(t1,xor(X_349,t1)),not(cin))) = xor(t6,and(cin,not(xor(t1,xor(X_349,t1))))),
inference(subst,[],[refute_0_7533:[bind(X,$fot(xor(t1,xor(X_349,t1))))]]) ).
cnf(refute_0_8925,plain,
xor(X_333,xor(and(carry,t5),xor(carry,t5))) = xor(xor(X_333,and(carry,t5)),xor(carry,t5)),
inference(subst,[],[xor_associative:[bind(X,$fot(X_333)),bind(Y,$fot(and(carry,t5))),bind(Z,$fot(xor(carry,t5)))]]) ).
cnf(refute_0_8926,plain,
ll1 = xor(and(carry,t5),not(and(carry,t5))),
inference(subst,[],[refute_0_473:[bind(X_64,$fot(and(carry,t5)))]]) ).
cnf(refute_0_8927,plain,
( ll1 != xor(and(carry,t5),not(and(carry,t5)))
| not(and(carry,t5)) != xor(carry,t5)
| ll1 = xor(and(carry,t5),xor(carry,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,xor(and(carry,t5),not(and(carry,t5)))) ),[1,1],$fot(xor(carry,t5))]]) ).
cnf(refute_0_8928,plain,
( ll1 != xor(and(carry,t5),not(and(carry,t5)))
| ll1 = xor(and(carry,t5),xor(carry,t5)) ),
inference(resolve,[$cnf( $equal(not(and(carry,t5)),xor(carry,t5)) )],[refute_0_8012,refute_0_8927]) ).
cnf(refute_0_8929,plain,
ll1 = xor(and(carry,t5),xor(carry,t5)),
inference(resolve,[$cnf( $equal(ll1,xor(and(carry,t5),not(and(carry,t5)))) )],[refute_0_8926,refute_0_8928]) ).
cnf(refute_0_8930,plain,
( ll1 != xor(and(carry,t5),xor(carry,t5))
| xor(and(carry,t5),xor(carry,t5)) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(xor(and(carry,t5),xor(carry,t5))))]]) ).
cnf(refute_0_8931,plain,
xor(and(carry,t5),xor(carry,t5)) = ll1,
inference(resolve,[$cnf( $equal(ll1,xor(and(carry,t5),xor(carry,t5))) )],[refute_0_8929,refute_0_8930]) ).
cnf(refute_0_8932,plain,
( xor(X_333,xor(and(carry,t5),xor(carry,t5))) != xor(xor(X_333,and(carry,t5)),xor(carry,t5))
| xor(and(carry,t5),xor(carry,t5)) != ll1
| xor(X_333,ll1) = xor(xor(X_333,and(carry,t5)),xor(carry,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,xor(and(carry,t5),xor(carry,t5))),xor(xor(X_333,and(carry,t5)),xor(carry,t5))) ),[0,1],$fot(ll1)]]) ).
cnf(refute_0_8933,plain,
( xor(X_333,xor(and(carry,t5),xor(carry,t5))) != xor(xor(X_333,and(carry,t5)),xor(carry,t5))
| xor(X_333,ll1) = xor(xor(X_333,and(carry,t5)),xor(carry,t5)) ),
inference(resolve,[$cnf( $equal(xor(and(carry,t5),xor(carry,t5)),ll1) )],[refute_0_8931,refute_0_8932]) ).
cnf(refute_0_8934,plain,
xor(X_333,ll1) = xor(xor(X_333,and(carry,t5)),xor(carry,t5)),
inference(resolve,[$cnf( $equal(xor(X_333,xor(and(carry,t5),xor(carry,t5))),xor(xor(X_333,and(carry,t5)),xor(carry,t5))) )],[refute_0_8925,refute_0_8933]) ).
cnf(refute_0_8935,plain,
( xor(X_333,ll1) != not(X_333)
| xor(X_333,ll1) != xor(xor(X_333,and(carry,t5)),xor(carry,t5))
| not(X_333) = xor(xor(X_333,and(carry,t5)),xor(carry,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,ll1),xor(xor(X_333,and(carry,t5)),xor(carry,t5))) ),[0],$fot(not(X_333))]]) ).
cnf(refute_0_8936,plain,
( xor(X_333,ll1) != xor(xor(X_333,and(carry,t5)),xor(carry,t5))
| not(X_333) = xor(xor(X_333,and(carry,t5)),xor(carry,t5)) ),
inference(resolve,[$cnf( $equal(xor(X_333,ll1),not(X_333)) )],[refute_0_3465,refute_0_8935]) ).
cnf(refute_0_8937,plain,
xor(t5,xor(xor(X_333,and(carry,t5)),carry)) = xor(carry,xor(t5,xor(X_333,and(carry,t5)))),
inference(subst,[],[refute_0_1453:[bind(X,$fot(carry)),bind(X_333,$fot(t5)),bind(X_334,$fot(xor(X_333,and(carry,t5))))]]) ).
cnf(refute_0_8938,plain,
xor(xor(X_333,and(carry,t5)),xor(carry,t5)) = xor(t5,xor(xor(X_333,and(carry,t5)),carry)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(t5)),bind(X_333,$fot(xor(X_333,and(carry,t5)))),bind(X_334,$fot(carry))]]) ).
cnf(refute_0_8939,plain,
( xor(t5,xor(xor(X_333,and(carry,t5)),carry)) != xor(carry,xor(t5,xor(X_333,and(carry,t5))))
| xor(xor(X_333,and(carry,t5)),xor(carry,t5)) != xor(t5,xor(xor(X_333,and(carry,t5)),carry))
| xor(xor(X_333,and(carry,t5)),xor(carry,t5)) = xor(carry,xor(t5,xor(X_333,and(carry,t5)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X_333,and(carry,t5)),xor(carry,t5)))),bind(Y0,$fot(xor(t5,xor(xor(X_333,and(carry,t5)),carry)))),bind(Z0,$fot(xor(carry,xor(t5,xor(X_333,and(carry,t5))))))]]) ).
cnf(refute_0_8940,plain,
( xor(t5,xor(xor(X_333,and(carry,t5)),carry)) != xor(carry,xor(t5,xor(X_333,and(carry,t5))))
| xor(xor(X_333,and(carry,t5)),xor(carry,t5)) = xor(carry,xor(t5,xor(X_333,and(carry,t5)))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,and(carry,t5)),xor(carry,t5)),xor(t5,xor(xor(X_333,and(carry,t5)),carry))) )],[refute_0_8938,refute_0_8939]) ).
cnf(refute_0_8941,plain,
xor(xor(X_333,and(carry,t5)),xor(carry,t5)) = xor(carry,xor(t5,xor(X_333,and(carry,t5)))),
inference(resolve,[$cnf( $equal(xor(t5,xor(xor(X_333,and(carry,t5)),carry)),xor(carry,xor(t5,xor(X_333,and(carry,t5))))) )],[refute_0_8937,refute_0_8940]) ).
cnf(refute_0_8942,plain,
( not(X_333) != xor(xor(X_333,and(carry,t5)),xor(carry,t5))
| xor(xor(X_333,and(carry,t5)),xor(carry,t5)) != xor(carry,xor(t5,xor(X_333,and(carry,t5))))
| not(X_333) = xor(carry,xor(t5,xor(X_333,and(carry,t5)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(X_333),xor(carry,xor(t5,xor(X_333,and(carry,t5))))) ),[0],$fot(xor(xor(X_333,and(carry,t5)),xor(carry,t5)))]]) ).
cnf(refute_0_8943,plain,
( not(X_333) != xor(xor(X_333,and(carry,t5)),xor(carry,t5))
| not(X_333) = xor(carry,xor(t5,xor(X_333,and(carry,t5)))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,and(carry,t5)),xor(carry,t5)),xor(carry,xor(t5,xor(X_333,and(carry,t5))))) )],[refute_0_8941,refute_0_8942]) ).
cnf(refute_0_8944,plain,
( xor(X_333,ll1) != xor(xor(X_333,and(carry,t5)),xor(carry,t5))
| not(X_333) = xor(carry,xor(t5,xor(X_333,and(carry,t5)))) ),
inference(resolve,[$cnf( $equal(not(X_333),xor(xor(X_333,and(carry,t5)),xor(carry,t5))) )],[refute_0_8936,refute_0_8943]) ).
cnf(refute_0_8945,plain,
not(X_333) = xor(carry,xor(t5,xor(X_333,and(carry,t5)))),
inference(resolve,[$cnf( $equal(xor(X_333,ll1),xor(xor(X_333,and(carry,t5)),xor(carry,t5))) )],[refute_0_8934,refute_0_8944]) ).
cnf(refute_0_8946,plain,
xor(t1,not(xor(X_333,t1))) = not(xor(t1,xor(X_333,t1))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t1)),bind(X_334,$fot(xor(X_333,t1)))]]) ).
cnf(refute_0_8947,plain,
xor(X_333,not(t1)) = not(xor(X_333,t1)),
inference(subst,[],[refute_0_1139:[bind(X_334,$fot(t1))]]) ).
cnf(refute_0_8948,plain,
xor(t1,xor(t5,t5)) = xor(carry,t5),
inference(subst,[],[refute_0_1349:[bind(X_335,$fot(t5))]]) ).
cnf(refute_0_8949,plain,
( xor(t1,xor(t5,t5)) != xor(carry,t5)
| xor(t5,t5) != ll0
| xor(t1,ll0) = xor(carry,t5) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,xor(t5,t5)),xor(carry,t5)) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_8950,plain,
( xor(t1,xor(t5,t5)) != xor(carry,t5)
| xor(t1,ll0) = xor(carry,t5) ),
inference(resolve,[$cnf( $equal(xor(t5,t5),ll0) )],[refute_0_1354,refute_0_8949]) ).
cnf(refute_0_8951,plain,
xor(t1,ll0) = xor(carry,t5),
inference(resolve,[$cnf( $equal(xor(t1,xor(t5,t5)),xor(carry,t5)) )],[refute_0_8948,refute_0_8950]) ).
cnf(refute_0_8952,plain,
xor(t1,ll0) = t1,
inference(subst,[],[refute_0_1378:[bind(X_63,$fot(t1))]]) ).
cnf(refute_0_8953,plain,
( xor(t1,ll0) != t1
| xor(t1,ll0) != xor(carry,t5)
| t1 = xor(carry,t5) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,ll0),xor(carry,t5)) ),[0],$fot(t1)]]) ).
cnf(refute_0_8954,plain,
( xor(t1,ll0) != xor(carry,t5)
| t1 = xor(carry,t5) ),
inference(resolve,[$cnf( $equal(xor(t1,ll0),t1) )],[refute_0_8952,refute_0_8953]) ).
cnf(refute_0_8955,plain,
t1 = xor(carry,t5),
inference(resolve,[$cnf( $equal(xor(t1,ll0),xor(carry,t5)) )],[refute_0_8951,refute_0_8954]) ).
cnf(refute_0_8956,plain,
( t1 != xor(carry,t5)
| xor(carry,t5) = t1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(t1)),bind(Y0,$fot(xor(carry,t5)))]]) ).
cnf(refute_0_8957,plain,
xor(carry,t5) = t1,
inference(resolve,[$cnf( $equal(t1,xor(carry,t5)) )],[refute_0_8955,refute_0_8956]) ).
cnf(refute_0_8958,plain,
not(xor(carry,t5)) = not(xor(carry,t5)),
introduced(tautology,[refl,[$fot(not(xor(carry,t5)))]]) ).
cnf(refute_0_8959,plain,
( not(xor(carry,t5)) != not(xor(carry,t5))
| xor(carry,t5) != t1
| not(xor(carry,t5)) = not(t1) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(carry,t5)),not(xor(carry,t5))) ),[1,0],$fot(t1)]]) ).
cnf(refute_0_8960,plain,
( xor(carry,t5) != t1
| not(xor(carry,t5)) = not(t1) ),
inference(resolve,[$cnf( $equal(not(xor(carry,t5)),not(xor(carry,t5))) )],[refute_0_8958,refute_0_8959]) ).
cnf(refute_0_8961,plain,
not(xor(carry,t5)) = not(t1),
inference(resolve,[$cnf( $equal(xor(carry,t5),t1) )],[refute_0_8957,refute_0_8960]) ).
cnf(refute_0_8962,plain,
( not(xor(carry,t5)) != and(carry,t5)
| not(xor(carry,t5)) != not(t1)
| not(t1) = and(carry,t5) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(carry,t5)),and(carry,t5)) ),[0],$fot(not(t1))]]) ).
cnf(refute_0_8963,plain,
( not(xor(carry,t5)) != and(carry,t5)
| not(t1) = and(carry,t5) ),
inference(resolve,[$cnf( $equal(not(xor(carry,t5)),not(t1)) )],[refute_0_8961,refute_0_8962]) ).
cnf(refute_0_8964,plain,
not(t1) = and(carry,t5),
inference(resolve,[$cnf( $equal(not(xor(carry,t5)),and(carry,t5)) )],[refute_0_8015,refute_0_8963]) ).
cnf(refute_0_8965,plain,
( not(t1) != and(carry,t5)
| and(carry,t5) = not(t1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t1))),bind(Y0,$fot(and(carry,t5)))]]) ).
cnf(refute_0_8966,plain,
and(carry,t5) = not(t1),
inference(resolve,[$cnf( $equal(not(t1),and(carry,t5)) )],[refute_0_8964,refute_0_8965]) ).
cnf(refute_0_8967,plain,
xor(X_333,and(carry,t5)) = xor(X_333,and(carry,t5)),
introduced(tautology,[refl,[$fot(xor(X_333,and(carry,t5)))]]) ).
cnf(refute_0_8968,plain,
( and(carry,t5) != not(t1)
| xor(X_333,and(carry,t5)) != xor(X_333,and(carry,t5))
| xor(X_333,and(carry,t5)) = xor(X_333,not(t1)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,and(carry,t5)),xor(X_333,and(carry,t5))) ),[1,1],$fot(not(t1))]]) ).
cnf(refute_0_8969,plain,
( and(carry,t5) != not(t1)
| xor(X_333,and(carry,t5)) = xor(X_333,not(t1)) ),
inference(resolve,[$cnf( $equal(xor(X_333,and(carry,t5)),xor(X_333,and(carry,t5))) )],[refute_0_8967,refute_0_8968]) ).
cnf(refute_0_8970,plain,
xor(X_333,and(carry,t5)) = xor(X_333,not(t1)),
inference(resolve,[$cnf( $equal(and(carry,t5),not(t1)) )],[refute_0_8966,refute_0_8969]) ).
cnf(refute_0_8971,plain,
( xor(X_333,and(carry,t5)) != xor(X_333,not(t1))
| xor(X_333,not(t1)) != not(xor(X_333,t1))
| xor(X_333,and(carry,t5)) = not(xor(X_333,t1)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(X_333,and(carry,t5)))),bind(Y0,$fot(xor(X_333,not(t1)))),bind(Z0,$fot(not(xor(X_333,t1))))]]) ).
cnf(refute_0_8972,plain,
( xor(X_333,not(t1)) != not(xor(X_333,t1))
| xor(X_333,and(carry,t5)) = not(xor(X_333,t1)) ),
inference(resolve,[$cnf( $equal(xor(X_333,and(carry,t5)),xor(X_333,not(t1))) )],[refute_0_8970,refute_0_8971]) ).
cnf(refute_0_8973,plain,
xor(X_333,and(carry,t5)) = not(xor(X_333,t1)),
inference(resolve,[$cnf( $equal(xor(X_333,not(t1)),not(xor(X_333,t1))) )],[refute_0_8947,refute_0_8972]) ).
cnf(refute_0_8974,plain,
xor(t1,xor(X_333,and(carry,t5))) = xor(t1,xor(X_333,and(carry,t5))),
introduced(tautology,[refl,[$fot(xor(t1,xor(X_333,and(carry,t5))))]]) ).
cnf(refute_0_8975,plain,
( xor(X_333,and(carry,t5)) != not(xor(X_333,t1))
| xor(t1,xor(X_333,and(carry,t5))) != xor(t1,xor(X_333,and(carry,t5)))
| xor(t1,xor(X_333,and(carry,t5))) = xor(t1,not(xor(X_333,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,xor(X_333,and(carry,t5))),xor(t1,xor(X_333,and(carry,t5)))) ),[1,1],$fot(not(xor(X_333,t1)))]]) ).
cnf(refute_0_8976,plain,
( xor(X_333,and(carry,t5)) != not(xor(X_333,t1))
| xor(t1,xor(X_333,and(carry,t5))) = xor(t1,not(xor(X_333,t1))) ),
inference(resolve,[$cnf( $equal(xor(t1,xor(X_333,and(carry,t5))),xor(t1,xor(X_333,and(carry,t5)))) )],[refute_0_8974,refute_0_8975]) ).
cnf(refute_0_8977,plain,
xor(t1,xor(X_333,and(carry,t5))) = xor(t1,not(xor(X_333,t1))),
inference(resolve,[$cnf( $equal(xor(X_333,and(carry,t5)),not(xor(X_333,t1))) )],[refute_0_8973,refute_0_8976]) ).
cnf(refute_0_8978,plain,
( xor(t1,not(xor(X_333,t1))) != not(xor(t1,xor(X_333,t1)))
| xor(t1,xor(X_333,and(carry,t5))) != xor(t1,not(xor(X_333,t1)))
| xor(t1,xor(X_333,and(carry,t5))) = not(xor(t1,xor(X_333,t1))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t1,xor(X_333,and(carry,t5))))),bind(Y0,$fot(xor(t1,not(xor(X_333,t1))))),bind(Z0,$fot(not(xor(t1,xor(X_333,t1)))))]]) ).
cnf(refute_0_8979,plain,
( xor(t1,not(xor(X_333,t1))) != not(xor(t1,xor(X_333,t1)))
| xor(t1,xor(X_333,and(carry,t5))) = not(xor(t1,xor(X_333,t1))) ),
inference(resolve,[$cnf( $equal(xor(t1,xor(X_333,and(carry,t5))),xor(t1,not(xor(X_333,t1)))) )],[refute_0_8977,refute_0_8978]) ).
cnf(refute_0_8980,plain,
xor(t1,xor(X_333,and(carry,t5))) = not(xor(t1,xor(X_333,t1))),
inference(resolve,[$cnf( $equal(xor(t1,not(xor(X_333,t1))),not(xor(t1,xor(X_333,t1)))) )],[refute_0_8946,refute_0_8979]) ).
cnf(refute_0_8981,plain,
xor(carry,xor(t5,Z)) = xor(xor(carry,t5),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(carry)),bind(Y,$fot(t5))]]) ).
cnf(refute_0_8982,plain,
( xor(carry,t5) != t1
| xor(carry,xor(t5,Z)) != xor(xor(carry,t5),Z)
| xor(carry,xor(t5,Z)) = xor(t1,Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(t5,Z)),xor(xor(carry,t5),Z)) ),[1,0],$fot(t1)]]) ).
cnf(refute_0_8983,plain,
( xor(carry,xor(t5,Z)) != xor(xor(carry,t5),Z)
| xor(carry,xor(t5,Z)) = xor(t1,Z) ),
inference(resolve,[$cnf( $equal(xor(carry,t5),t1) )],[refute_0_8957,refute_0_8982]) ).
cnf(refute_0_8984,plain,
xor(carry,xor(t5,Z)) = xor(t1,Z),
inference(resolve,[$cnf( $equal(xor(carry,xor(t5,Z)),xor(xor(carry,t5),Z)) )],[refute_0_8981,refute_0_8983]) ).
cnf(refute_0_8985,plain,
xor(carry,xor(t5,xor(X_333,and(carry,t5)))) = xor(t1,xor(X_333,and(carry,t5))),
inference(subst,[],[refute_0_8984:[bind(Z,$fot(xor(X_333,and(carry,t5))))]]) ).
cnf(refute_0_8986,plain,
( xor(carry,xor(t5,xor(X_333,and(carry,t5)))) != xor(t1,xor(X_333,and(carry,t5)))
| xor(t1,xor(X_333,and(carry,t5))) != not(xor(t1,xor(X_333,t1)))
| xor(carry,xor(t5,xor(X_333,and(carry,t5)))) = not(xor(t1,xor(X_333,t1))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(carry,xor(t5,xor(X_333,and(carry,t5)))))),bind(Y0,$fot(xor(t1,xor(X_333,and(carry,t5))))),bind(Z0,$fot(not(xor(t1,xor(X_333,t1)))))]]) ).
cnf(refute_0_8987,plain,
( xor(t1,xor(X_333,and(carry,t5))) != not(xor(t1,xor(X_333,t1)))
| xor(carry,xor(t5,xor(X_333,and(carry,t5)))) = not(xor(t1,xor(X_333,t1))) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(t5,xor(X_333,and(carry,t5)))),xor(t1,xor(X_333,and(carry,t5)))) )],[refute_0_8985,refute_0_8986]) ).
cnf(refute_0_8988,plain,
xor(carry,xor(t5,xor(X_333,and(carry,t5)))) = not(xor(t1,xor(X_333,t1))),
inference(resolve,[$cnf( $equal(xor(t1,xor(X_333,and(carry,t5))),not(xor(t1,xor(X_333,t1)))) )],[refute_0_8980,refute_0_8987]) ).
cnf(refute_0_8989,plain,
( not(X_333) != xor(carry,xor(t5,xor(X_333,and(carry,t5))))
| xor(carry,xor(t5,xor(X_333,and(carry,t5)))) != not(xor(t1,xor(X_333,t1)))
| not(X_333) = not(xor(t1,xor(X_333,t1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(X_333),not(xor(t1,xor(X_333,t1)))) ),[0],$fot(xor(carry,xor(t5,xor(X_333,and(carry,t5)))))]]) ).
cnf(refute_0_8990,plain,
( not(X_333) != xor(carry,xor(t5,xor(X_333,and(carry,t5))))
| not(X_333) = not(xor(t1,xor(X_333,t1))) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(t5,xor(X_333,and(carry,t5)))),not(xor(t1,xor(X_333,t1)))) )],[refute_0_8988,refute_0_8989]) ).
cnf(refute_0_8991,plain,
not(X_333) = not(xor(t1,xor(X_333,t1))),
inference(resolve,[$cnf( $equal(not(X_333),xor(carry,xor(t5,xor(X_333,and(carry,t5))))) )],[refute_0_8945,refute_0_8990]) ).
cnf(refute_0_8992,plain,
not(X_349) = not(xor(t1,xor(X_349,t1))),
inference(subst,[],[refute_0_8991:[bind(X_333,$fot(X_349))]]) ).
cnf(refute_0_8993,plain,
( not(X_349) != not(xor(t1,xor(X_349,t1)))
| not(xor(t1,xor(X_349,t1))) = not(X_349) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(X_349))),bind(Y0,$fot(not(xor(t1,xor(X_349,t1)))))]]) ).
cnf(refute_0_8994,plain,
not(xor(t1,xor(X_349,t1))) = not(X_349),
inference(resolve,[$cnf( $equal(not(X_349),not(xor(t1,xor(X_349,t1)))) )],[refute_0_8992,refute_0_8993]) ).
cnf(refute_0_8995,plain,
( and(t6,or(xor(t1,xor(X_349,t1)),not(cin))) != xor(t6,and(cin,not(xor(t1,xor(X_349,t1)))))
| not(xor(t1,xor(X_349,t1))) != not(X_349)
| and(t6,or(xor(t1,xor(X_349,t1)),not(cin))) = xor(t6,and(cin,not(X_349))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(xor(t1,xor(X_349,t1)),not(cin))),xor(t6,and(cin,not(xor(t1,xor(X_349,t1)))))) ),[1,1,1],$fot(not(X_349))]]) ).
cnf(refute_0_8996,plain,
( and(t6,or(xor(t1,xor(X_349,t1)),not(cin))) != xor(t6,and(cin,not(xor(t1,xor(X_349,t1)))))
| and(t6,or(xor(t1,xor(X_349,t1)),not(cin))) = xor(t6,and(cin,not(X_349))) ),
inference(resolve,[$cnf( $equal(not(xor(t1,xor(X_349,t1))),not(X_349)) )],[refute_0_8994,refute_0_8995]) ).
cnf(refute_0_8997,plain,
and(t6,or(xor(t1,xor(X_349,t1)),not(cin))) = xor(t6,and(cin,not(X_349))),
inference(resolve,[$cnf( $equal(and(t6,or(xor(t1,xor(X_349,t1)),not(cin))),xor(t6,and(cin,not(xor(t1,xor(X_349,t1)))))) )],[refute_0_8924,refute_0_8996]) ).
cnf(refute_0_8998,plain,
and(t6,or(xor(t2,xor(X_344,t2)),not(cin))) = xor(t6,and(cin,not(xor(t2,xor(X_344,t2))))),
inference(subst,[],[refute_0_7533:[bind(X,$fot(xor(t2,xor(X_344,t2))))]]) ).
cnf(refute_0_8999,plain,
xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335)) = xor(xor(t2,xor(cin,xor(t2,not(cin)))),X_335),
inference(subst,[],[xor_associative:[bind(X,$fot(t2)),bind(Y,$fot(xor(cin,xor(t2,not(cin))))),bind(Z,$fot(X_335))]]) ).
cnf(refute_0_9000,plain,
xor(xor(t2,not(xor(cin,t2))),cin) = xor(cin,xor(t2,not(xor(cin,t2)))),
inference(subst,[],[xor_commutative:[bind(X,$fot(xor(t2,not(xor(cin,t2))))),bind(Y,$fot(cin))]]) ).
cnf(refute_0_9001,plain,
ll1 = xor(and(or(t2,t5),or(cin,not(t2))),not(and(or(t2,t5),or(cin,not(t2))))),
inference(subst,[],[refute_0_473:[bind(X_64,$fot(and(or(t2,t5),or(cin,not(t2)))))]]) ).
cnf(refute_0_9002,plain,
or(and(cin,not(t2)),and(not(cin),t2)) = xor(cin,t2),
inference(subst,[],[refute_0_9:[bind(X,$fot(cin)),bind(Y,$fot(t2))]]) ).
cnf(refute_0_9003,plain,
and(not(t5),not(t2)) = and(cin,and(t4,not(t2))),
inference(subst,[],[refute_0_841:[bind(X_222,$fot(not(t2)))]]) ).
cnf(refute_0_9004,plain,
not(or(t2,not(t4))) = not(or(not(t4),t2)),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(not(t4))),bind(X_26,$fot(t2))]]) ).
cnf(refute_0_9005,plain,
or(t2,and(t2,t3)) = t2,
inference(subst,[],[or_absorption:[bind(X,$fot(t2)),bind(Y,$fot(t3))]]) ).
cnf(refute_0_9006,plain,
( and(t2,t3) != not(t4)
| or(t2,and(t2,t3)) != t2
| or(t2,not(t4)) = t2 ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,and(t2,t3)),t2) ),[0,1],$fot(not(t4))]]) ).
cnf(refute_0_9007,plain,
( or(t2,and(t2,t3)) != t2
| or(t2,not(t4)) = t2 ),
inference(resolve,[$cnf( $equal(and(t2,t3),not(t4)) )],[refute_0_608,refute_0_9006]) ).
cnf(refute_0_9008,plain,
or(t2,not(t4)) = t2,
inference(resolve,[$cnf( $equal(or(t2,and(t2,t3)),t2) )],[refute_0_9005,refute_0_9007]) ).
cnf(refute_0_9009,plain,
( not(or(t2,not(t4))) != not(or(not(t4),t2))
| or(t2,not(t4)) != t2
| not(t2) = not(or(not(t4),t2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t2,not(t4))),not(or(not(t4),t2))) ),[0,0],$fot(t2)]]) ).
cnf(refute_0_9010,plain,
( not(or(t2,not(t4))) != not(or(not(t4),t2))
| not(t2) = not(or(not(t4),t2)) ),
inference(resolve,[$cnf( $equal(or(t2,not(t4)),t2) )],[refute_0_9008,refute_0_9009]) ).
cnf(refute_0_9011,plain,
not(t2) = not(or(not(t4),t2)),
inference(resolve,[$cnf( $equal(not(or(t2,not(t4))),not(or(not(t4),t2))) )],[refute_0_9004,refute_0_9010]) ).
cnf(refute_0_9012,plain,
not(or(not(t4),t2)) = and(t4,not(t2)),
inference(subst,[],[refute_0_159:[bind(X,$fot(t4)),bind(X_26,$fot(t2))]]) ).
cnf(refute_0_9013,plain,
( not(or(not(t4),t2)) != and(t4,not(t2))
| not(t2) != not(or(not(t4),t2))
| not(t2) = and(t4,not(t2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(t2),not(or(not(t4),t2))) ),[1],$fot(and(t4,not(t2)))]]) ).
cnf(refute_0_9014,plain,
( not(t2) != not(or(not(t4),t2))
| not(t2) = and(t4,not(t2)) ),
inference(resolve,[$cnf( $equal(not(or(not(t4),t2)),and(t4,not(t2))) )],[refute_0_9012,refute_0_9013]) ).
cnf(refute_0_9015,plain,
not(t2) = and(t4,not(t2)),
inference(resolve,[$cnf( $equal(not(t2),not(or(not(t4),t2))) )],[refute_0_9011,refute_0_9014]) ).
cnf(refute_0_9016,plain,
( not(t2) != and(t4,not(t2))
| and(t4,not(t2)) = not(t2) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t2))),bind(Y0,$fot(and(t4,not(t2))))]]) ).
cnf(refute_0_9017,plain,
and(t4,not(t2)) = not(t2),
inference(resolve,[$cnf( $equal(not(t2),and(t4,not(t2))) )],[refute_0_9015,refute_0_9016]) ).
cnf(refute_0_9018,plain,
( and(not(t5),not(t2)) != and(cin,and(t4,not(t2)))
| and(t4,not(t2)) != not(t2)
| and(not(t5),not(t2)) = and(cin,not(t2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),not(t2)),and(cin,and(t4,not(t2)))) ),[1,1],$fot(not(t2))]]) ).
cnf(refute_0_9019,plain,
( and(not(t5),not(t2)) != and(cin,and(t4,not(t2)))
| and(not(t5),not(t2)) = and(cin,not(t2)) ),
inference(resolve,[$cnf( $equal(and(t4,not(t2)),not(t2)) )],[refute_0_9017,refute_0_9018]) ).
cnf(refute_0_9020,plain,
and(not(t5),not(t2)) = and(cin,not(t2)),
inference(resolve,[$cnf( $equal(and(not(t5),not(t2)),and(cin,and(t4,not(t2)))) )],[refute_0_9003,refute_0_9019]) ).
cnf(refute_0_9021,plain,
not(or(t5,t2)) = not(or(t2,t5)),
inference(subst,[],[refute_0_562:[bind(X_25,$fot(t5)),bind(X_26,$fot(t2))]]) ).
cnf(refute_0_9022,plain,
and(not(t5),not(t2)) = not(or(t5,t2)),
inference(subst,[],[refute_0_101:[bind(X,$fot(t5)),bind(Y,$fot(t2))]]) ).
cnf(refute_0_9023,plain,
( and(not(t5),not(t2)) != not(or(t5,t2))
| not(or(t5,t2)) != not(or(t2,t5))
| and(not(t5),not(t2)) = not(or(t2,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t5),not(t2)))),bind(Y0,$fot(not(or(t5,t2)))),bind(Z0,$fot(not(or(t2,t5))))]]) ).
cnf(refute_0_9024,plain,
( not(or(t5,t2)) != not(or(t2,t5))
| and(not(t5),not(t2)) = not(or(t2,t5)) ),
inference(resolve,[$cnf( $equal(and(not(t5),not(t2)),not(or(t5,t2))) )],[refute_0_9022,refute_0_9023]) ).
cnf(refute_0_9025,plain,
and(not(t5),not(t2)) = not(or(t2,t5)),
inference(resolve,[$cnf( $equal(not(or(t5,t2)),not(or(t2,t5))) )],[refute_0_9021,refute_0_9024]) ).
cnf(refute_0_9026,plain,
( and(not(t5),not(t2)) != and(cin,not(t2))
| and(not(t5),not(t2)) != not(or(t2,t5))
| not(or(t2,t5)) = and(cin,not(t2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),not(t2)),and(cin,not(t2))) ),[0],$fot(not(or(t2,t5)))]]) ).
cnf(refute_0_9027,plain,
( and(not(t5),not(t2)) != and(cin,not(t2))
| not(or(t2,t5)) = and(cin,not(t2)) ),
inference(resolve,[$cnf( $equal(and(not(t5),not(t2)),not(or(t2,t5))) )],[refute_0_9025,refute_0_9026]) ).
cnf(refute_0_9028,plain,
not(or(t2,t5)) = and(cin,not(t2)),
inference(resolve,[$cnf( $equal(and(not(t5),not(t2)),and(cin,not(t2))) )],[refute_0_9020,refute_0_9027]) ).
cnf(refute_0_9029,plain,
( not(or(t2,t5)) != and(cin,not(t2))
| and(cin,not(t2)) = not(or(t2,t5)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(t2,t5)))),bind(Y0,$fot(and(cin,not(t2))))]]) ).
cnf(refute_0_9030,plain,
and(cin,not(t2)) = not(or(t2,t5)),
inference(resolve,[$cnf( $equal(not(or(t2,t5)),and(cin,not(t2))) )],[refute_0_9028,refute_0_9029]) ).
cnf(refute_0_9031,plain,
( and(cin,not(t2)) != not(or(t2,t5))
| or(and(cin,not(t2)),and(not(cin),t2)) != xor(cin,t2)
| or(not(or(t2,t5)),and(not(cin),t2)) = xor(cin,t2) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(cin,not(t2)),and(not(cin),t2)),xor(cin,t2)) ),[0,0],$fot(not(or(t2,t5)))]]) ).
cnf(refute_0_9032,plain,
( or(and(cin,not(t2)),and(not(cin),t2)) != xor(cin,t2)
| or(not(or(t2,t5)),and(not(cin),t2)) = xor(cin,t2) ),
inference(resolve,[$cnf( $equal(and(cin,not(t2)),not(or(t2,t5))) )],[refute_0_9030,refute_0_9031]) ).
cnf(refute_0_9033,plain,
or(not(or(t2,t5)),and(not(cin),t2)) = xor(cin,t2),
inference(resolve,[$cnf( $equal(or(and(cin,not(t2)),and(not(cin),t2)),xor(cin,t2)) )],[refute_0_9002,refute_0_9032]) ).
cnf(refute_0_9034,plain,
or(not(or(t2,t5)),and(not(cin),t2)) = not(and(or(t2,t5),or(cin,not(t2)))),
inference(subst,[],[refute_0_1337:[bind(X,$fot(or(t2,t5))),bind(X_78,$fot(t2)),bind(X_79,$fot(cin))]]) ).
cnf(refute_0_9035,plain,
( or(not(or(t2,t5)),and(not(cin),t2)) != not(and(or(t2,t5),or(cin,not(t2))))
| or(not(or(t2,t5)),and(not(cin),t2)) != xor(cin,t2)
| not(and(or(t2,t5),or(cin,not(t2)))) = xor(cin,t2) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(or(t2,t5)),and(not(cin),t2)),xor(cin,t2)) ),[0],$fot(not(and(or(t2,t5),or(cin,not(t2)))))]]) ).
cnf(refute_0_9036,plain,
( or(not(or(t2,t5)),and(not(cin),t2)) != xor(cin,t2)
| not(and(or(t2,t5),or(cin,not(t2)))) = xor(cin,t2) ),
inference(resolve,[$cnf( $equal(or(not(or(t2,t5)),and(not(cin),t2)),not(and(or(t2,t5),or(cin,not(t2))))) )],[refute_0_9034,refute_0_9035]) ).
cnf(refute_0_9037,plain,
not(and(or(t2,t5),or(cin,not(t2)))) = xor(cin,t2),
inference(resolve,[$cnf( $equal(or(not(or(t2,t5)),and(not(cin),t2)),xor(cin,t2)) )],[refute_0_9033,refute_0_9036]) ).
cnf(refute_0_9038,plain,
( ll1 != xor(and(or(t2,t5),or(cin,not(t2))),not(and(or(t2,t5),or(cin,not(t2)))))
| not(and(or(t2,t5),or(cin,not(t2)))) != xor(cin,t2)
| ll1 = xor(and(or(t2,t5),or(cin,not(t2))),xor(cin,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,xor(and(or(t2,t5),or(cin,not(t2))),not(and(or(t2,t5),or(cin,not(t2)))))) ),[1,1],$fot(xor(cin,t2))]]) ).
cnf(refute_0_9039,plain,
( ll1 != xor(and(or(t2,t5),or(cin,not(t2))),not(and(or(t2,t5),or(cin,not(t2)))))
| ll1 = xor(and(or(t2,t5),or(cin,not(t2))),xor(cin,t2)) ),
inference(resolve,[$cnf( $equal(not(and(or(t2,t5),or(cin,not(t2)))),xor(cin,t2)) )],[refute_0_9037,refute_0_9038]) ).
cnf(refute_0_9040,plain,
ll1 = xor(and(or(t2,t5),or(cin,not(t2))),xor(cin,t2)),
inference(resolve,[$cnf( $equal(ll1,xor(and(or(t2,t5),or(cin,not(t2))),not(and(or(t2,t5),or(cin,not(t2)))))) )],[refute_0_9001,refute_0_9039]) ).
cnf(refute_0_9041,plain,
xor(xor(cin,t2),and(or(t2,t5),or(cin,not(t2)))) = xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2))))),
inference(subst,[],[refute_0_526:[bind(X,$fot(cin)),bind(Y,$fot(t2)),bind(Z,$fot(and(or(t2,t5),or(cin,not(t2)))))]]) ).
cnf(refute_0_9042,plain,
xor(and(or(t2,t5),or(cin,not(t2))),xor(cin,t2)) = xor(xor(cin,t2),and(or(t2,t5),or(cin,not(t2)))),
inference(subst,[],[refute_0_1913:[bind(X,$fot(xor(cin,t2))),bind(Y,$fot(and(or(t2,t5),or(cin,not(t2)))))]]) ).
cnf(refute_0_9043,plain,
( xor(and(or(t2,t5),or(cin,not(t2))),xor(cin,t2)) != xor(xor(cin,t2),and(or(t2,t5),or(cin,not(t2))))
| xor(xor(cin,t2),and(or(t2,t5),or(cin,not(t2)))) != xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2)))))
| xor(and(or(t2,t5),or(cin,not(t2))),xor(cin,t2)) = xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2))))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(and(or(t2,t5),or(cin,not(t2))),xor(cin,t2)))),bind(Y0,$fot(xor(xor(cin,t2),and(or(t2,t5),or(cin,not(t2)))))),bind(Z0,$fot(xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2)))))))]]) ).
cnf(refute_0_9044,plain,
( xor(xor(cin,t2),and(or(t2,t5),or(cin,not(t2)))) != xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2)))))
| xor(and(or(t2,t5),or(cin,not(t2))),xor(cin,t2)) = xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2))))) ),
inference(resolve,[$cnf( $equal(xor(and(or(t2,t5),or(cin,not(t2))),xor(cin,t2)),xor(xor(cin,t2),and(or(t2,t5),or(cin,not(t2))))) )],[refute_0_9042,refute_0_9043]) ).
cnf(refute_0_9045,plain,
xor(and(or(t2,t5),or(cin,not(t2))),xor(cin,t2)) = xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2))))),
inference(resolve,[$cnf( $equal(xor(xor(cin,t2),and(or(t2,t5),or(cin,not(t2)))),xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2)))))) )],[refute_0_9041,refute_0_9044]) ).
cnf(refute_0_9046,plain,
( ll1 != xor(and(or(t2,t5),or(cin,not(t2))),xor(cin,t2))
| xor(and(or(t2,t5),or(cin,not(t2))),xor(cin,t2)) != xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2)))))
| ll1 = xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll1,xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2)))))) ),[0],$fot(xor(and(or(t2,t5),or(cin,not(t2))),xor(cin,t2)))]]) ).
cnf(refute_0_9047,plain,
( ll1 != xor(and(or(t2,t5),or(cin,not(t2))),xor(cin,t2))
| ll1 = xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2))))) ),
inference(resolve,[$cnf( $equal(xor(and(or(t2,t5),or(cin,not(t2))),xor(cin,t2)),xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2)))))) )],[refute_0_9045,refute_0_9046]) ).
cnf(refute_0_9048,plain,
ll1 = xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2))))),
inference(resolve,[$cnf( $equal(ll1,xor(and(or(t2,t5),or(cin,not(t2))),xor(cin,t2))) )],[refute_0_9040,refute_0_9047]) ).
cnf(refute_0_9049,plain,
or(and(X,not(and(or(t2,t5),or(cin,not(t2))))),and(not(X),and(or(t2,t5),or(cin,not(t2))))) = xor(X,and(or(t2,t5),or(cin,not(t2)))),
inference(subst,[],[refute_0_9:[bind(Y,$fot(and(or(t2,t5),or(cin,not(t2)))))]]) ).
cnf(refute_0_9050,plain,
( not(and(or(t2,t5),or(cin,not(t2)))) != xor(cin,t2)
| or(and(X,not(and(or(t2,t5),or(cin,not(t2))))),and(not(X),and(or(t2,t5),or(cin,not(t2))))) != xor(X,and(or(t2,t5),or(cin,not(t2))))
| or(and(X,xor(cin,t2)),and(not(X),and(or(t2,t5),or(cin,not(t2))))) = xor(X,and(or(t2,t5),or(cin,not(t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X,not(and(or(t2,t5),or(cin,not(t2))))),and(not(X),and(or(t2,t5),or(cin,not(t2))))),xor(X,and(or(t2,t5),or(cin,not(t2))))) ),[0,0,1],$fot(xor(cin,t2))]]) ).
cnf(refute_0_9051,plain,
( or(and(X,not(and(or(t2,t5),or(cin,not(t2))))),and(not(X),and(or(t2,t5),or(cin,not(t2))))) != xor(X,and(or(t2,t5),or(cin,not(t2))))
| or(and(X,xor(cin,t2)),and(not(X),and(or(t2,t5),or(cin,not(t2))))) = xor(X,and(or(t2,t5),or(cin,not(t2)))) ),
inference(resolve,[$cnf( $equal(not(and(or(t2,t5),or(cin,not(t2)))),xor(cin,t2)) )],[refute_0_9037,refute_0_9050]) ).
cnf(refute_0_9052,plain,
or(and(X,xor(cin,t2)),and(not(X),and(or(t2,t5),or(cin,not(t2))))) = xor(X,and(or(t2,t5),or(cin,not(t2)))),
inference(resolve,[$cnf( $equal(or(and(X,not(and(or(t2,t5),or(cin,not(t2))))),and(not(X),and(or(t2,t5),or(cin,not(t2))))),xor(X,and(or(t2,t5),or(cin,not(t2))))) )],[refute_0_9049,refute_0_9051]) ).
cnf(refute_0_9053,plain,
or(and(X,xor(cin,t2)),not(or(X,xor(cin,t2)))) = xor(X,not(xor(cin,t2))),
inference(subst,[],[refute_0_3627:[bind(X_64,$fot(xor(cin,t2)))]]) ).
cnf(refute_0_9054,plain,
not(or(X_25,not(and(or(t2,t5),or(cin,not(t2)))))) = and(not(X_25),and(or(t2,t5),or(cin,not(t2)))),
inference(subst,[],[refute_0_801:[bind(X,$fot(and(or(t2,t5),or(cin,not(t2)))))]]) ).
cnf(refute_0_9055,plain,
( not(and(or(t2,t5),or(cin,not(t2)))) != xor(cin,t2)
| not(or(X_25,not(and(or(t2,t5),or(cin,not(t2)))))) != and(not(X_25),and(or(t2,t5),or(cin,not(t2))))
| not(or(X_25,xor(cin,t2))) = and(not(X_25),and(or(t2,t5),or(cin,not(t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X_25,not(and(or(t2,t5),or(cin,not(t2)))))),and(not(X_25),and(or(t2,t5),or(cin,not(t2))))) ),[0,0,1],$fot(xor(cin,t2))]]) ).
cnf(refute_0_9056,plain,
( not(or(X_25,not(and(or(t2,t5),or(cin,not(t2)))))) != and(not(X_25),and(or(t2,t5),or(cin,not(t2))))
| not(or(X_25,xor(cin,t2))) = and(not(X_25),and(or(t2,t5),or(cin,not(t2)))) ),
inference(resolve,[$cnf( $equal(not(and(or(t2,t5),or(cin,not(t2)))),xor(cin,t2)) )],[refute_0_9037,refute_0_9055]) ).
cnf(refute_0_9057,plain,
not(or(X_25,xor(cin,t2))) = and(not(X_25),and(or(t2,t5),or(cin,not(t2)))),
inference(resolve,[$cnf( $equal(not(or(X_25,not(and(or(t2,t5),or(cin,not(t2)))))),and(not(X_25),and(or(t2,t5),or(cin,not(t2))))) )],[refute_0_9054,refute_0_9056]) ).
cnf(refute_0_9058,plain,
( not(or(X_25,xor(cin,t2))) != and(not(X_25),and(or(t2,t5),or(cin,not(t2))))
| and(not(X_25),and(or(t2,t5),or(cin,not(t2)))) = not(or(X_25,xor(cin,t2))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X_25,xor(cin,t2))))),bind(Y0,$fot(and(not(X_25),and(or(t2,t5),or(cin,not(t2))))))]]) ).
cnf(refute_0_9059,plain,
and(not(X_25),and(or(t2,t5),or(cin,not(t2)))) = not(or(X_25,xor(cin,t2))),
inference(resolve,[$cnf( $equal(not(or(X_25,xor(cin,t2))),and(not(X_25),and(or(t2,t5),or(cin,not(t2))))) )],[refute_0_9057,refute_0_9058]) ).
cnf(refute_0_9060,plain,
and(not(X),and(or(t2,t5),or(cin,not(t2)))) = not(or(X,xor(cin,t2))),
inference(subst,[],[refute_0_9059:[bind(X_25,$fot(X))]]) ).
cnf(refute_0_9061,plain,
or(and(X,xor(cin,t2)),and(not(X),and(or(t2,t5),or(cin,not(t2))))) = or(and(X,xor(cin,t2)),and(not(X),and(or(t2,t5),or(cin,not(t2))))),
introduced(tautology,[refl,[$fot(or(and(X,xor(cin,t2)),and(not(X),and(or(t2,t5),or(cin,not(t2))))))]]) ).
cnf(refute_0_9062,plain,
( and(not(X),and(or(t2,t5),or(cin,not(t2)))) != not(or(X,xor(cin,t2)))
| or(and(X,xor(cin,t2)),and(not(X),and(or(t2,t5),or(cin,not(t2))))) != or(and(X,xor(cin,t2)),and(not(X),and(or(t2,t5),or(cin,not(t2)))))
| or(and(X,xor(cin,t2)),and(not(X),and(or(t2,t5),or(cin,not(t2))))) = or(and(X,xor(cin,t2)),not(or(X,xor(cin,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X,xor(cin,t2)),and(not(X),and(or(t2,t5),or(cin,not(t2))))),or(and(X,xor(cin,t2)),and(not(X),and(or(t2,t5),or(cin,not(t2)))))) ),[1,1],$fot(not(or(X,xor(cin,t2))))]]) ).
cnf(refute_0_9063,plain,
( and(not(X),and(or(t2,t5),or(cin,not(t2)))) != not(or(X,xor(cin,t2)))
| or(and(X,xor(cin,t2)),and(not(X),and(or(t2,t5),or(cin,not(t2))))) = or(and(X,xor(cin,t2)),not(or(X,xor(cin,t2)))) ),
inference(resolve,[$cnf( $equal(or(and(X,xor(cin,t2)),and(not(X),and(or(t2,t5),or(cin,not(t2))))),or(and(X,xor(cin,t2)),and(not(X),and(or(t2,t5),or(cin,not(t2)))))) )],[refute_0_9061,refute_0_9062]) ).
cnf(refute_0_9064,plain,
or(and(X,xor(cin,t2)),and(not(X),and(or(t2,t5),or(cin,not(t2))))) = or(and(X,xor(cin,t2)),not(or(X,xor(cin,t2)))),
inference(resolve,[$cnf( $equal(and(not(X),and(or(t2,t5),or(cin,not(t2)))),not(or(X,xor(cin,t2)))) )],[refute_0_9060,refute_0_9063]) ).
cnf(refute_0_9065,plain,
( or(and(X,xor(cin,t2)),and(not(X),and(or(t2,t5),or(cin,not(t2))))) != or(and(X,xor(cin,t2)),not(or(X,xor(cin,t2))))
| or(and(X,xor(cin,t2)),not(or(X,xor(cin,t2)))) != xor(X,not(xor(cin,t2)))
| or(and(X,xor(cin,t2)),and(not(X),and(or(t2,t5),or(cin,not(t2))))) = xor(X,not(xor(cin,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(X,xor(cin,t2)),and(not(X),and(or(t2,t5),or(cin,not(t2))))))),bind(Y0,$fot(or(and(X,xor(cin,t2)),not(or(X,xor(cin,t2)))))),bind(Z0,$fot(xor(X,not(xor(cin,t2)))))]]) ).
cnf(refute_0_9066,plain,
( or(and(X,xor(cin,t2)),not(or(X,xor(cin,t2)))) != xor(X,not(xor(cin,t2)))
| or(and(X,xor(cin,t2)),and(not(X),and(or(t2,t5),or(cin,not(t2))))) = xor(X,not(xor(cin,t2))) ),
inference(resolve,[$cnf( $equal(or(and(X,xor(cin,t2)),and(not(X),and(or(t2,t5),or(cin,not(t2))))),or(and(X,xor(cin,t2)),not(or(X,xor(cin,t2))))) )],[refute_0_9064,refute_0_9065]) ).
cnf(refute_0_9067,plain,
or(and(X,xor(cin,t2)),and(not(X),and(or(t2,t5),or(cin,not(t2))))) = xor(X,not(xor(cin,t2))),
inference(resolve,[$cnf( $equal(or(and(X,xor(cin,t2)),not(or(X,xor(cin,t2)))),xor(X,not(xor(cin,t2)))) )],[refute_0_9053,refute_0_9066]) ).
cnf(refute_0_9068,plain,
( or(and(X,xor(cin,t2)),and(not(X),and(or(t2,t5),or(cin,not(t2))))) != xor(X,and(or(t2,t5),or(cin,not(t2))))
| or(and(X,xor(cin,t2)),and(not(X),and(or(t2,t5),or(cin,not(t2))))) != xor(X,not(xor(cin,t2)))
| xor(X,not(xor(cin,t2))) = xor(X,and(or(t2,t5),or(cin,not(t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X,xor(cin,t2)),and(not(X),and(or(t2,t5),or(cin,not(t2))))),xor(X,and(or(t2,t5),or(cin,not(t2))))) ),[0],$fot(xor(X,not(xor(cin,t2))))]]) ).
cnf(refute_0_9069,plain,
( or(and(X,xor(cin,t2)),and(not(X),and(or(t2,t5),or(cin,not(t2))))) != xor(X,and(or(t2,t5),or(cin,not(t2))))
| xor(X,not(xor(cin,t2))) = xor(X,and(or(t2,t5),or(cin,not(t2)))) ),
inference(resolve,[$cnf( $equal(or(and(X,xor(cin,t2)),and(not(X),and(or(t2,t5),or(cin,not(t2))))),xor(X,not(xor(cin,t2)))) )],[refute_0_9067,refute_0_9068]) ).
cnf(refute_0_9070,plain,
xor(X,not(xor(cin,t2))) = xor(X,and(or(t2,t5),or(cin,not(t2)))),
inference(resolve,[$cnf( $equal(or(and(X,xor(cin,t2)),and(not(X),and(or(t2,t5),or(cin,not(t2))))),xor(X,and(or(t2,t5),or(cin,not(t2))))) )],[refute_0_9052,refute_0_9069]) ).
cnf(refute_0_9071,plain,
( xor(X,not(xor(cin,t2))) != xor(X,and(or(t2,t5),or(cin,not(t2))))
| xor(X,and(or(t2,t5),or(cin,not(t2)))) = xor(X,not(xor(cin,t2))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X,not(xor(cin,t2))))),bind(Y0,$fot(xor(X,and(or(t2,t5),or(cin,not(t2))))))]]) ).
cnf(refute_0_9072,plain,
xor(X,and(or(t2,t5),or(cin,not(t2)))) = xor(X,not(xor(cin,t2))),
inference(resolve,[$cnf( $equal(xor(X,not(xor(cin,t2))),xor(X,and(or(t2,t5),or(cin,not(t2))))) )],[refute_0_9070,refute_0_9071]) ).
cnf(refute_0_9073,plain,
xor(t2,and(or(t2,t5),or(cin,not(t2)))) = xor(t2,not(xor(cin,t2))),
inference(subst,[],[refute_0_9072:[bind(X,$fot(t2))]]) ).
cnf(refute_0_9074,plain,
xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2))))) = xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2))))),
introduced(tautology,[refl,[$fot(xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2))))))]]) ).
cnf(refute_0_9075,plain,
( xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2))))) != xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2)))))
| xor(t2,and(or(t2,t5),or(cin,not(t2)))) != xor(t2,not(xor(cin,t2)))
| xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2))))) = xor(cin,xor(t2,not(xor(cin,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2))))),xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2)))))) ),[1,1],$fot(xor(t2,not(xor(cin,t2))))]]) ).
cnf(refute_0_9076,plain,
( xor(t2,and(or(t2,t5),or(cin,not(t2)))) != xor(t2,not(xor(cin,t2)))
| xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2))))) = xor(cin,xor(t2,not(xor(cin,t2)))) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2))))),xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2)))))) )],[refute_0_9074,refute_0_9075]) ).
cnf(refute_0_9077,plain,
xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2))))) = xor(cin,xor(t2,not(xor(cin,t2)))),
inference(resolve,[$cnf( $equal(xor(t2,and(or(t2,t5),or(cin,not(t2)))),xor(t2,not(xor(cin,t2)))) )],[refute_0_9073,refute_0_9076]) ).
cnf(refute_0_9078,plain,
( ll1 != xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2)))))
| xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2))))) != xor(cin,xor(t2,not(xor(cin,t2))))
| ll1 = xor(cin,xor(t2,not(xor(cin,t2)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll1,xor(cin,xor(t2,not(xor(cin,t2))))) ),[0],$fot(xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2))))))]]) ).
cnf(refute_0_9079,plain,
( ll1 != xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2)))))
| ll1 = xor(cin,xor(t2,not(xor(cin,t2)))) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2))))),xor(cin,xor(t2,not(xor(cin,t2))))) )],[refute_0_9077,refute_0_9078]) ).
cnf(refute_0_9080,plain,
ll1 = xor(cin,xor(t2,not(xor(cin,t2)))),
inference(resolve,[$cnf( $equal(ll1,xor(cin,xor(t2,and(or(t2,t5),or(cin,not(t2)))))) )],[refute_0_9048,refute_0_9079]) ).
cnf(refute_0_9081,plain,
( ll1 != xor(cin,xor(t2,not(xor(cin,t2))))
| xor(cin,xor(t2,not(xor(cin,t2)))) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(xor(cin,xor(t2,not(xor(cin,t2))))))]]) ).
cnf(refute_0_9082,plain,
xor(cin,xor(t2,not(xor(cin,t2)))) = ll1,
inference(resolve,[$cnf( $equal(ll1,xor(cin,xor(t2,not(xor(cin,t2))))) )],[refute_0_9080,refute_0_9081]) ).
cnf(refute_0_9083,plain,
( xor(cin,xor(t2,not(xor(cin,t2)))) != ll1
| xor(xor(t2,not(xor(cin,t2))),cin) != xor(cin,xor(t2,not(xor(cin,t2))))
| xor(xor(t2,not(xor(cin,t2))),cin) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(xor(xor(t2,not(xor(cin,t2))),cin),xor(cin,xor(t2,not(xor(cin,t2))))) ),[1],$fot(ll1)]]) ).
cnf(refute_0_9084,plain,
( xor(xor(t2,not(xor(cin,t2))),cin) != xor(cin,xor(t2,not(xor(cin,t2))))
| xor(xor(t2,not(xor(cin,t2))),cin) = ll1 ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t2,not(xor(cin,t2)))),ll1) )],[refute_0_9082,refute_0_9083]) ).
cnf(refute_0_9085,plain,
xor(xor(t2,not(xor(cin,t2))),cin) = ll1,
inference(resolve,[$cnf( $equal(xor(xor(t2,not(xor(cin,t2))),cin),xor(cin,xor(t2,not(xor(cin,t2))))) )],[refute_0_9000,refute_0_9084]) ).
cnf(refute_0_9086,plain,
xor(xor(cin,t2),not(cin)) = xor(cin,xor(t2,not(cin))),
inference(subst,[],[refute_0_526:[bind(X,$fot(cin)),bind(Y,$fot(t2)),bind(Z,$fot(not(cin)))]]) ).
cnf(refute_0_9087,plain,
xor(not(xor(cin,t2)),cin) = xor(xor(cin,t2),not(cin)),
inference(subst,[],[refute_0_468:[bind(Y,$fot(cin)),bind(X_63,$fot(xor(cin,t2)))]]) ).
cnf(refute_0_9088,plain,
( xor(not(xor(cin,t2)),cin) != xor(xor(cin,t2),not(cin))
| xor(xor(cin,t2),not(cin)) != xor(cin,xor(t2,not(cin)))
| xor(not(xor(cin,t2)),cin) = xor(cin,xor(t2,not(cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(not(xor(cin,t2)),cin))),bind(Y0,$fot(xor(xor(cin,t2),not(cin)))),bind(Z0,$fot(xor(cin,xor(t2,not(cin)))))]]) ).
cnf(refute_0_9089,plain,
( xor(xor(cin,t2),not(cin)) != xor(cin,xor(t2,not(cin)))
| xor(not(xor(cin,t2)),cin) = xor(cin,xor(t2,not(cin))) ),
inference(resolve,[$cnf( $equal(xor(not(xor(cin,t2)),cin),xor(xor(cin,t2),not(cin))) )],[refute_0_9087,refute_0_9088]) ).
cnf(refute_0_9090,plain,
xor(not(xor(cin,t2)),cin) = xor(cin,xor(t2,not(cin))),
inference(resolve,[$cnf( $equal(xor(xor(cin,t2),not(cin)),xor(cin,xor(t2,not(cin)))) )],[refute_0_9086,refute_0_9089]) ).
cnf(refute_0_9091,plain,
xor(t2,xor(not(xor(cin,t2)),cin)) = xor(t2,xor(not(xor(cin,t2)),cin)),
introduced(tautology,[refl,[$fot(xor(t2,xor(not(xor(cin,t2)),cin)))]]) ).
cnf(refute_0_9092,plain,
( xor(not(xor(cin,t2)),cin) != xor(cin,xor(t2,not(cin)))
| xor(t2,xor(not(xor(cin,t2)),cin)) != xor(t2,xor(not(xor(cin,t2)),cin))
| xor(t2,xor(not(xor(cin,t2)),cin)) = xor(t2,xor(cin,xor(t2,not(cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,xor(not(xor(cin,t2)),cin)),xor(t2,xor(not(xor(cin,t2)),cin))) ),[1,1],$fot(xor(cin,xor(t2,not(cin))))]]) ).
cnf(refute_0_9093,plain,
( xor(not(xor(cin,t2)),cin) != xor(cin,xor(t2,not(cin)))
| xor(t2,xor(not(xor(cin,t2)),cin)) = xor(t2,xor(cin,xor(t2,not(cin)))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(not(xor(cin,t2)),cin)),xor(t2,xor(not(xor(cin,t2)),cin))) )],[refute_0_9091,refute_0_9092]) ).
cnf(refute_0_9094,plain,
xor(t2,xor(not(xor(cin,t2)),cin)) = xor(t2,xor(cin,xor(t2,not(cin)))),
inference(resolve,[$cnf( $equal(xor(not(xor(cin,t2)),cin),xor(cin,xor(t2,not(cin)))) )],[refute_0_9090,refute_0_9093]) ).
cnf(refute_0_9095,plain,
xor(xor(t2,not(xor(cin,t2))),cin) = xor(t2,xor(not(xor(cin,t2)),cin)),
inference(subst,[],[refute_0_526:[bind(X,$fot(t2)),bind(Y,$fot(not(xor(cin,t2)))),bind(Z,$fot(cin))]]) ).
cnf(refute_0_9096,plain,
( xor(t2,xor(not(xor(cin,t2)),cin)) != xor(t2,xor(cin,xor(t2,not(cin))))
| xor(xor(t2,not(xor(cin,t2))),cin) != xor(t2,xor(not(xor(cin,t2)),cin))
| xor(xor(t2,not(xor(cin,t2))),cin) = xor(t2,xor(cin,xor(t2,not(cin)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(t2,not(xor(cin,t2))),cin))),bind(Y0,$fot(xor(t2,xor(not(xor(cin,t2)),cin)))),bind(Z0,$fot(xor(t2,xor(cin,xor(t2,not(cin))))))]]) ).
cnf(refute_0_9097,plain,
( xor(t2,xor(not(xor(cin,t2)),cin)) != xor(t2,xor(cin,xor(t2,not(cin))))
| xor(xor(t2,not(xor(cin,t2))),cin) = xor(t2,xor(cin,xor(t2,not(cin)))) ),
inference(resolve,[$cnf( $equal(xor(xor(t2,not(xor(cin,t2))),cin),xor(t2,xor(not(xor(cin,t2)),cin))) )],[refute_0_9095,refute_0_9096]) ).
cnf(refute_0_9098,plain,
xor(xor(t2,not(xor(cin,t2))),cin) = xor(t2,xor(cin,xor(t2,not(cin)))),
inference(resolve,[$cnf( $equal(xor(t2,xor(not(xor(cin,t2)),cin)),xor(t2,xor(cin,xor(t2,not(cin))))) )],[refute_0_9094,refute_0_9097]) ).
cnf(refute_0_9099,plain,
( xor(xor(t2,not(xor(cin,t2))),cin) != ll1
| xor(xor(t2,not(xor(cin,t2))),cin) != xor(t2,xor(cin,xor(t2,not(cin))))
| xor(t2,xor(cin,xor(t2,not(cin)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(xor(xor(t2,not(xor(cin,t2))),cin),ll1) ),[0],$fot(xor(t2,xor(cin,xor(t2,not(cin)))))]]) ).
cnf(refute_0_9100,plain,
( xor(xor(t2,not(xor(cin,t2))),cin) != ll1
| xor(t2,xor(cin,xor(t2,not(cin)))) = ll1 ),
inference(resolve,[$cnf( $equal(xor(xor(t2,not(xor(cin,t2))),cin),xor(t2,xor(cin,xor(t2,not(cin))))) )],[refute_0_9098,refute_0_9099]) ).
cnf(refute_0_9101,plain,
xor(t2,xor(cin,xor(t2,not(cin)))) = ll1,
inference(resolve,[$cnf( $equal(xor(xor(t2,not(xor(cin,t2))),cin),ll1) )],[refute_0_9085,refute_0_9100]) ).
cnf(refute_0_9102,plain,
( xor(t2,xor(cin,xor(t2,not(cin)))) != ll1
| xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335)) != xor(xor(t2,xor(cin,xor(t2,not(cin)))),X_335)
| xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335)) = xor(ll1,X_335) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335)),xor(xor(t2,xor(cin,xor(t2,not(cin)))),X_335)) ),[1,0],$fot(ll1)]]) ).
cnf(refute_0_9103,plain,
( xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335)) != xor(xor(t2,xor(cin,xor(t2,not(cin)))),X_335)
| xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335)) = xor(ll1,X_335) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(cin,xor(t2,not(cin)))),ll1) )],[refute_0_9101,refute_0_9102]) ).
cnf(refute_0_9104,plain,
xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335)) = xor(ll1,X_335),
inference(resolve,[$cnf( $equal(xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335)),xor(xor(t2,xor(cin,xor(t2,not(cin)))),X_335)) )],[refute_0_8999,refute_0_9103]) ).
cnf(refute_0_9105,plain,
xor(t2,not(xor(X_335,t2))) = not(xor(t2,xor(X_335,t2))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t2)),bind(X_334,$fot(xor(X_335,t2)))]]) ).
cnf(refute_0_9106,plain,
xor(X_333,xor(t2,xor(cin,xor(t2,not(cin))))) = xor(xor(X_333,t2),xor(cin,xor(t2,not(cin)))),
inference(subst,[],[xor_associative:[bind(X,$fot(X_333)),bind(Y,$fot(t2)),bind(Z,$fot(xor(cin,xor(t2,not(cin)))))]]) ).
cnf(refute_0_9107,plain,
( xor(X_333,xor(t2,xor(cin,xor(t2,not(cin))))) != xor(xor(X_333,t2),xor(cin,xor(t2,not(cin))))
| xor(t2,xor(cin,xor(t2,not(cin)))) != ll1
| xor(X_333,ll1) = xor(xor(X_333,t2),xor(cin,xor(t2,not(cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,xor(t2,xor(cin,xor(t2,not(cin))))),xor(xor(X_333,t2),xor(cin,xor(t2,not(cin))))) ),[0,1],$fot(ll1)]]) ).
cnf(refute_0_9108,plain,
( xor(X_333,xor(t2,xor(cin,xor(t2,not(cin))))) != xor(xor(X_333,t2),xor(cin,xor(t2,not(cin))))
| xor(X_333,ll1) = xor(xor(X_333,t2),xor(cin,xor(t2,not(cin)))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(cin,xor(t2,not(cin)))),ll1) )],[refute_0_9101,refute_0_9107]) ).
cnf(refute_0_9109,plain,
xor(X_333,ll1) = xor(xor(X_333,t2),xor(cin,xor(t2,not(cin)))),
inference(resolve,[$cnf( $equal(xor(X_333,xor(t2,xor(cin,xor(t2,not(cin))))),xor(xor(X_333,t2),xor(cin,xor(t2,not(cin))))) )],[refute_0_9106,refute_0_9108]) ).
cnf(refute_0_9110,plain,
( xor(X_333,ll1) != not(X_333)
| xor(X_333,ll1) != xor(xor(X_333,t2),xor(cin,xor(t2,not(cin))))
| not(X_333) = xor(xor(X_333,t2),xor(cin,xor(t2,not(cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,ll1),xor(xor(X_333,t2),xor(cin,xor(t2,not(cin))))) ),[0],$fot(not(X_333))]]) ).
cnf(refute_0_9111,plain,
( xor(X_333,ll1) != xor(xor(X_333,t2),xor(cin,xor(t2,not(cin))))
| not(X_333) = xor(xor(X_333,t2),xor(cin,xor(t2,not(cin)))) ),
inference(resolve,[$cnf( $equal(xor(X_333,ll1),not(X_333)) )],[refute_0_3465,refute_0_9110]) ).
cnf(refute_0_9112,plain,
xor(cin,not(xor(cin,X_333))) = not(xor(cin,xor(cin,X_333))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(cin)),bind(X_334,$fot(xor(cin,X_333)))]]) ).
cnf(refute_0_9113,plain,
xor(t2,t2) = ll0,
inference(subst,[],[refute_0_6895:[bind(X_63,$fot(t2))]]) ).
cnf(refute_0_9114,plain,
xor(X_333,xor(t2,t2)) = xor(X_333,xor(t2,t2)),
introduced(tautology,[refl,[$fot(xor(X_333,xor(t2,t2)))]]) ).
cnf(refute_0_9115,plain,
( xor(X_333,xor(t2,t2)) != xor(X_333,xor(t2,t2))
| xor(t2,t2) != ll0
| xor(X_333,xor(t2,t2)) = xor(X_333,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,xor(t2,t2)),xor(X_333,xor(t2,t2))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_9116,plain,
( xor(t2,t2) != ll0
| xor(X_333,xor(t2,t2)) = xor(X_333,ll0) ),
inference(resolve,[$cnf( $equal(xor(X_333,xor(t2,t2)),xor(X_333,xor(t2,t2))) )],[refute_0_9114,refute_0_9115]) ).
cnf(refute_0_9117,plain,
xor(X_333,xor(t2,t2)) = xor(X_333,ll0),
inference(resolve,[$cnf( $equal(xor(t2,t2),ll0) )],[refute_0_9113,refute_0_9116]) ).
cnf(refute_0_9118,plain,
( xor(X_333,ll0) != X_333
| xor(X_333,xor(t2,t2)) != xor(X_333,ll0)
| xor(X_333,xor(t2,t2)) = X_333 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(X_333,xor(t2,t2)))),bind(Y0,$fot(xor(X_333,ll0))),bind(Z0,$fot(X_333))]]) ).
cnf(refute_0_9119,plain,
( xor(X_333,ll0) != X_333
| xor(X_333,xor(t2,t2)) = X_333 ),
inference(resolve,[$cnf( $equal(xor(X_333,xor(t2,t2)),xor(X_333,ll0)) )],[refute_0_9117,refute_0_9118]) ).
cnf(refute_0_9120,plain,
xor(X_333,xor(t2,t2)) = X_333,
inference(resolve,[$cnf( $equal(xor(X_333,ll0),X_333) )],[refute_0_5102,refute_0_9119]) ).
cnf(refute_0_9121,plain,
xor(xor(X_333,t2),t2) = xor(X_333,xor(t2,t2)),
inference(subst,[],[refute_0_526:[bind(X,$fot(X_333)),bind(Y,$fot(t2)),bind(Z,$fot(t2))]]) ).
cnf(refute_0_9122,plain,
( xor(X_333,xor(t2,t2)) != X_333
| xor(xor(X_333,t2),t2) != xor(X_333,xor(t2,t2))
| xor(xor(X_333,t2),t2) = X_333 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X_333,t2),t2))),bind(Y0,$fot(xor(X_333,xor(t2,t2)))),bind(Z0,$fot(X_333))]]) ).
cnf(refute_0_9123,plain,
( xor(X_333,xor(t2,t2)) != X_333
| xor(xor(X_333,t2),t2) = X_333 ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,t2),t2),xor(X_333,xor(t2,t2))) )],[refute_0_9121,refute_0_9122]) ).
cnf(refute_0_9124,plain,
xor(xor(X_333,t2),t2) = X_333,
inference(resolve,[$cnf( $equal(xor(X_333,xor(t2,t2)),X_333) )],[refute_0_9120,refute_0_9123]) ).
cnf(refute_0_9125,plain,
xor(cin,xor(xor(X_333,t2),t2)) = xor(cin,xor(xor(X_333,t2),t2)),
introduced(tautology,[refl,[$fot(xor(cin,xor(xor(X_333,t2),t2)))]]) ).
cnf(refute_0_9126,plain,
( xor(cin,xor(xor(X_333,t2),t2)) != xor(cin,xor(xor(X_333,t2),t2))
| xor(xor(X_333,t2),t2) != X_333
| xor(cin,xor(xor(X_333,t2),t2)) = xor(cin,X_333) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(xor(X_333,t2),t2)),xor(cin,xor(xor(X_333,t2),t2))) ),[1,1],$fot(X_333)]]) ).
cnf(refute_0_9127,plain,
( xor(xor(X_333,t2),t2) != X_333
| xor(cin,xor(xor(X_333,t2),t2)) = xor(cin,X_333) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(xor(X_333,t2),t2)),xor(cin,xor(xor(X_333,t2),t2))) )],[refute_0_9125,refute_0_9126]) ).
cnf(refute_0_9128,plain,
xor(cin,xor(xor(X_333,t2),t2)) = xor(cin,X_333),
inference(resolve,[$cnf( $equal(xor(xor(X_333,t2),t2),X_333) )],[refute_0_9124,refute_0_9127]) ).
cnf(refute_0_9129,plain,
xor(t2,xor(cin,xor(X_333,t2))) = xor(cin,xor(xor(X_333,t2),t2)),
inference(subst,[],[refute_0_1451:[bind(X,$fot(t2)),bind(X_333,$fot(cin)),bind(X_334,$fot(xor(X_333,t2)))]]) ).
cnf(refute_0_9130,plain,
( xor(cin,xor(xor(X_333,t2),t2)) != xor(cin,X_333)
| xor(t2,xor(cin,xor(X_333,t2))) != xor(cin,xor(xor(X_333,t2),t2))
| xor(t2,xor(cin,xor(X_333,t2))) = xor(cin,X_333) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,xor(cin,xor(X_333,t2))))),bind(Y0,$fot(xor(cin,xor(xor(X_333,t2),t2)))),bind(Z0,$fot(xor(cin,X_333)))]]) ).
cnf(refute_0_9131,plain,
( xor(cin,xor(xor(X_333,t2),t2)) != xor(cin,X_333)
| xor(t2,xor(cin,xor(X_333,t2))) = xor(cin,X_333) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(cin,xor(X_333,t2))),xor(cin,xor(xor(X_333,t2),t2))) )],[refute_0_9129,refute_0_9130]) ).
cnf(refute_0_9132,plain,
xor(t2,xor(cin,xor(X_333,t2))) = xor(cin,X_333),
inference(resolve,[$cnf( $equal(xor(cin,xor(xor(X_333,t2),t2)),xor(cin,X_333)) )],[refute_0_9128,refute_0_9131]) ).
cnf(refute_0_9133,plain,
not(xor(t2,xor(cin,xor(X_333,t2)))) = not(xor(t2,xor(cin,xor(X_333,t2)))),
introduced(tautology,[refl,[$fot(not(xor(t2,xor(cin,xor(X_333,t2)))))]]) ).
cnf(refute_0_9134,plain,
( not(xor(t2,xor(cin,xor(X_333,t2)))) != not(xor(t2,xor(cin,xor(X_333,t2))))
| xor(t2,xor(cin,xor(X_333,t2))) != xor(cin,X_333)
| not(xor(t2,xor(cin,xor(X_333,t2)))) = not(xor(cin,X_333)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t2,xor(cin,xor(X_333,t2)))),not(xor(t2,xor(cin,xor(X_333,t2))))) ),[1,0],$fot(xor(cin,X_333))]]) ).
cnf(refute_0_9135,plain,
( xor(t2,xor(cin,xor(X_333,t2))) != xor(cin,X_333)
| not(xor(t2,xor(cin,xor(X_333,t2)))) = not(xor(cin,X_333)) ),
inference(resolve,[$cnf( $equal(not(xor(t2,xor(cin,xor(X_333,t2)))),not(xor(t2,xor(cin,xor(X_333,t2))))) )],[refute_0_9133,refute_0_9134]) ).
cnf(refute_0_9136,plain,
not(xor(t2,xor(cin,xor(X_333,t2)))) = not(xor(cin,X_333)),
inference(resolve,[$cnf( $equal(xor(t2,xor(cin,xor(X_333,t2))),xor(cin,X_333)) )],[refute_0_9132,refute_0_9135]) ).
cnf(refute_0_9137,plain,
xor(t2,not(xor(cin,xor(X_333,t2)))) = not(xor(t2,xor(cin,xor(X_333,t2)))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t2)),bind(X_334,$fot(xor(cin,xor(X_333,t2))))]]) ).
cnf(refute_0_9138,plain,
( not(xor(t2,xor(cin,xor(X_333,t2)))) != not(xor(cin,X_333))
| xor(t2,not(xor(cin,xor(X_333,t2)))) != not(xor(t2,xor(cin,xor(X_333,t2))))
| xor(t2,not(xor(cin,xor(X_333,t2)))) = not(xor(cin,X_333)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,not(xor(cin,xor(X_333,t2)))))),bind(Y0,$fot(not(xor(t2,xor(cin,xor(X_333,t2)))))),bind(Z0,$fot(not(xor(cin,X_333))))]]) ).
cnf(refute_0_9139,plain,
( not(xor(t2,xor(cin,xor(X_333,t2)))) != not(xor(cin,X_333))
| xor(t2,not(xor(cin,xor(X_333,t2)))) = not(xor(cin,X_333)) ),
inference(resolve,[$cnf( $equal(xor(t2,not(xor(cin,xor(X_333,t2)))),not(xor(t2,xor(cin,xor(X_333,t2))))) )],[refute_0_9137,refute_0_9138]) ).
cnf(refute_0_9140,plain,
xor(t2,not(xor(cin,xor(X_333,t2)))) = not(xor(cin,X_333)),
inference(resolve,[$cnf( $equal(not(xor(t2,xor(cin,xor(X_333,t2)))),not(xor(cin,X_333))) )],[refute_0_9136,refute_0_9139]) ).
cnf(refute_0_9141,plain,
xor(t2,xor(cin,X_333)) = xor(cin,xor(X_333,t2)),
inference(subst,[],[refute_0_1451:[bind(X,$fot(t2)),bind(X_333,$fot(cin)),bind(X_334,$fot(X_333))]]) ).
cnf(refute_0_9142,plain,
not(xor(t2,xor(cin,X_333))) = not(xor(t2,xor(cin,X_333))),
introduced(tautology,[refl,[$fot(not(xor(t2,xor(cin,X_333))))]]) ).
cnf(refute_0_9143,plain,
( not(xor(t2,xor(cin,X_333))) != not(xor(t2,xor(cin,X_333)))
| xor(t2,xor(cin,X_333)) != xor(cin,xor(X_333,t2))
| not(xor(t2,xor(cin,X_333))) = not(xor(cin,xor(X_333,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t2,xor(cin,X_333))),not(xor(t2,xor(cin,X_333)))) ),[1,0],$fot(xor(cin,xor(X_333,t2)))]]) ).
cnf(refute_0_9144,plain,
( xor(t2,xor(cin,X_333)) != xor(cin,xor(X_333,t2))
| not(xor(t2,xor(cin,X_333))) = not(xor(cin,xor(X_333,t2))) ),
inference(resolve,[$cnf( $equal(not(xor(t2,xor(cin,X_333))),not(xor(t2,xor(cin,X_333)))) )],[refute_0_9142,refute_0_9143]) ).
cnf(refute_0_9145,plain,
not(xor(t2,xor(cin,X_333))) = not(xor(cin,xor(X_333,t2))),
inference(resolve,[$cnf( $equal(xor(t2,xor(cin,X_333)),xor(cin,xor(X_333,t2))) )],[refute_0_9141,refute_0_9144]) ).
cnf(refute_0_9146,plain,
xor(t2,not(xor(cin,X_333))) = not(xor(t2,xor(cin,X_333))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t2)),bind(X_334,$fot(xor(cin,X_333)))]]) ).
cnf(refute_0_9147,plain,
( not(xor(t2,xor(cin,X_333))) != not(xor(cin,xor(X_333,t2)))
| xor(t2,not(xor(cin,X_333))) != not(xor(t2,xor(cin,X_333)))
| xor(t2,not(xor(cin,X_333))) = not(xor(cin,xor(X_333,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,not(xor(cin,X_333))))),bind(Y0,$fot(not(xor(t2,xor(cin,X_333))))),bind(Z0,$fot(not(xor(cin,xor(X_333,t2)))))]]) ).
cnf(refute_0_9148,plain,
( not(xor(t2,xor(cin,X_333))) != not(xor(cin,xor(X_333,t2)))
| xor(t2,not(xor(cin,X_333))) = not(xor(cin,xor(X_333,t2))) ),
inference(resolve,[$cnf( $equal(xor(t2,not(xor(cin,X_333))),not(xor(t2,xor(cin,X_333)))) )],[refute_0_9146,refute_0_9147]) ).
cnf(refute_0_9149,plain,
xor(t2,not(xor(cin,X_333))) = not(xor(cin,xor(X_333,t2))),
inference(resolve,[$cnf( $equal(not(xor(t2,xor(cin,X_333))),not(xor(cin,xor(X_333,t2)))) )],[refute_0_9145,refute_0_9148]) ).
cnf(refute_0_9150,plain,
xor(cin,not(X_333)) = not(xor(cin,X_333)),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(cin)),bind(X_334,$fot(X_333))]]) ).
cnf(refute_0_9151,plain,
xor(not(cin),X_333) = xor(cin,not(X_333)),
inference(subst,[],[refute_0_468:[bind(Y,$fot(X_333)),bind(X_63,$fot(cin))]]) ).
cnf(refute_0_9152,plain,
( xor(cin,not(X_333)) != not(xor(cin,X_333))
| xor(not(cin),X_333) != xor(cin,not(X_333))
| xor(not(cin),X_333) = not(xor(cin,X_333)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(not(cin),X_333))),bind(Y0,$fot(xor(cin,not(X_333)))),bind(Z0,$fot(not(xor(cin,X_333))))]]) ).
cnf(refute_0_9153,plain,
( xor(cin,not(X_333)) != not(xor(cin,X_333))
| xor(not(cin),X_333) = not(xor(cin,X_333)) ),
inference(resolve,[$cnf( $equal(xor(not(cin),X_333),xor(cin,not(X_333))) )],[refute_0_9151,refute_0_9152]) ).
cnf(refute_0_9154,plain,
xor(not(cin),X_333) = not(xor(cin,X_333)),
inference(resolve,[$cnf( $equal(xor(cin,not(X_333)),not(xor(cin,X_333))) )],[refute_0_9150,refute_0_9153]) ).
cnf(refute_0_9155,plain,
xor(t2,xor(not(cin),X_333)) = xor(t2,xor(not(cin),X_333)),
introduced(tautology,[refl,[$fot(xor(t2,xor(not(cin),X_333)))]]) ).
cnf(refute_0_9156,plain,
( xor(not(cin),X_333) != not(xor(cin,X_333))
| xor(t2,xor(not(cin),X_333)) != xor(t2,xor(not(cin),X_333))
| xor(t2,xor(not(cin),X_333)) = xor(t2,not(xor(cin,X_333))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,xor(not(cin),X_333)),xor(t2,xor(not(cin),X_333))) ),[1,1],$fot(not(xor(cin,X_333)))]]) ).
cnf(refute_0_9157,plain,
( xor(not(cin),X_333) != not(xor(cin,X_333))
| xor(t2,xor(not(cin),X_333)) = xor(t2,not(xor(cin,X_333))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(not(cin),X_333)),xor(t2,xor(not(cin),X_333))) )],[refute_0_9155,refute_0_9156]) ).
cnf(refute_0_9158,plain,
xor(t2,xor(not(cin),X_333)) = xor(t2,not(xor(cin,X_333))),
inference(resolve,[$cnf( $equal(xor(not(cin),X_333),not(xor(cin,X_333))) )],[refute_0_9154,refute_0_9157]) ).
cnf(refute_0_9159,plain,
( xor(t2,not(xor(cin,X_333))) != not(xor(cin,xor(X_333,t2)))
| xor(t2,xor(not(cin),X_333)) != xor(t2,not(xor(cin,X_333)))
| xor(t2,xor(not(cin),X_333)) = not(xor(cin,xor(X_333,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,xor(not(cin),X_333)))),bind(Y0,$fot(xor(t2,not(xor(cin,X_333))))),bind(Z0,$fot(not(xor(cin,xor(X_333,t2)))))]]) ).
cnf(refute_0_9160,plain,
( xor(t2,not(xor(cin,X_333))) != not(xor(cin,xor(X_333,t2)))
| xor(t2,xor(not(cin),X_333)) = not(xor(cin,xor(X_333,t2))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(not(cin),X_333)),xor(t2,not(xor(cin,X_333)))) )],[refute_0_9158,refute_0_9159]) ).
cnf(refute_0_9161,plain,
xor(t2,xor(not(cin),X_333)) = not(xor(cin,xor(X_333,t2))),
inference(resolve,[$cnf( $equal(xor(t2,not(xor(cin,X_333))),not(xor(cin,xor(X_333,t2)))) )],[refute_0_9149,refute_0_9160]) ).
cnf(refute_0_9162,plain,
xor(xor(t2,not(cin)),X_333) = xor(t2,xor(not(cin),X_333)),
inference(subst,[],[refute_0_526:[bind(X,$fot(t2)),bind(Y,$fot(not(cin))),bind(Z,$fot(X_333))]]) ).
cnf(refute_0_9163,plain,
( xor(t2,xor(not(cin),X_333)) != not(xor(cin,xor(X_333,t2)))
| xor(xor(t2,not(cin)),X_333) != xor(t2,xor(not(cin),X_333))
| xor(xor(t2,not(cin)),X_333) = not(xor(cin,xor(X_333,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(t2,not(cin)),X_333))),bind(Y0,$fot(xor(t2,xor(not(cin),X_333)))),bind(Z0,$fot(not(xor(cin,xor(X_333,t2)))))]]) ).
cnf(refute_0_9164,plain,
( xor(t2,xor(not(cin),X_333)) != not(xor(cin,xor(X_333,t2)))
| xor(xor(t2,not(cin)),X_333) = not(xor(cin,xor(X_333,t2))) ),
inference(resolve,[$cnf( $equal(xor(xor(t2,not(cin)),X_333),xor(t2,xor(not(cin),X_333))) )],[refute_0_9162,refute_0_9163]) ).
cnf(refute_0_9165,plain,
xor(xor(t2,not(cin)),X_333) = not(xor(cin,xor(X_333,t2))),
inference(resolve,[$cnf( $equal(xor(t2,xor(not(cin),X_333)),not(xor(cin,xor(X_333,t2)))) )],[refute_0_9161,refute_0_9164]) ).
cnf(refute_0_9166,plain,
xor(t2,xor(xor(t2,not(cin)),X_333)) = xor(t2,xor(xor(t2,not(cin)),X_333)),
introduced(tautology,[refl,[$fot(xor(t2,xor(xor(t2,not(cin)),X_333)))]]) ).
cnf(refute_0_9167,plain,
( xor(t2,xor(xor(t2,not(cin)),X_333)) != xor(t2,xor(xor(t2,not(cin)),X_333))
| xor(xor(t2,not(cin)),X_333) != not(xor(cin,xor(X_333,t2)))
| xor(t2,xor(xor(t2,not(cin)),X_333)) = xor(t2,not(xor(cin,xor(X_333,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,xor(xor(t2,not(cin)),X_333)),xor(t2,xor(xor(t2,not(cin)),X_333))) ),[1,1],$fot(not(xor(cin,xor(X_333,t2))))]]) ).
cnf(refute_0_9168,plain,
( xor(xor(t2,not(cin)),X_333) != not(xor(cin,xor(X_333,t2)))
| xor(t2,xor(xor(t2,not(cin)),X_333)) = xor(t2,not(xor(cin,xor(X_333,t2)))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(xor(t2,not(cin)),X_333)),xor(t2,xor(xor(t2,not(cin)),X_333))) )],[refute_0_9166,refute_0_9167]) ).
cnf(refute_0_9169,plain,
xor(t2,xor(xor(t2,not(cin)),X_333)) = xor(t2,not(xor(cin,xor(X_333,t2)))),
inference(resolve,[$cnf( $equal(xor(xor(t2,not(cin)),X_333),not(xor(cin,xor(X_333,t2)))) )],[refute_0_9165,refute_0_9168]) ).
cnf(refute_0_9170,plain,
( xor(t2,not(xor(cin,xor(X_333,t2)))) != not(xor(cin,X_333))
| xor(t2,xor(xor(t2,not(cin)),X_333)) != xor(t2,not(xor(cin,xor(X_333,t2))))
| xor(t2,xor(xor(t2,not(cin)),X_333)) = not(xor(cin,X_333)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,xor(xor(t2,not(cin)),X_333)))),bind(Y0,$fot(xor(t2,not(xor(cin,xor(X_333,t2)))))),bind(Z0,$fot(not(xor(cin,X_333))))]]) ).
cnf(refute_0_9171,plain,
( xor(t2,not(xor(cin,xor(X_333,t2)))) != not(xor(cin,X_333))
| xor(t2,xor(xor(t2,not(cin)),X_333)) = not(xor(cin,X_333)) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(xor(t2,not(cin)),X_333)),xor(t2,not(xor(cin,xor(X_333,t2))))) )],[refute_0_9169,refute_0_9170]) ).
cnf(refute_0_9172,plain,
xor(t2,xor(xor(t2,not(cin)),X_333)) = not(xor(cin,X_333)),
inference(resolve,[$cnf( $equal(xor(t2,not(xor(cin,xor(X_333,t2)))),not(xor(cin,X_333))) )],[refute_0_9140,refute_0_9171]) ).
cnf(refute_0_9173,plain,
xor(xor(t2,not(cin)),xor(X_333,t2)) = xor(t2,xor(xor(t2,not(cin)),X_333)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(t2)),bind(X_333,$fot(xor(t2,not(cin)))),bind(X_334,$fot(X_333))]]) ).
cnf(refute_0_9174,plain,
( xor(t2,xor(xor(t2,not(cin)),X_333)) != not(xor(cin,X_333))
| xor(xor(t2,not(cin)),xor(X_333,t2)) != xor(t2,xor(xor(t2,not(cin)),X_333))
| xor(xor(t2,not(cin)),xor(X_333,t2)) = not(xor(cin,X_333)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(t2,not(cin)),xor(X_333,t2)))),bind(Y0,$fot(xor(t2,xor(xor(t2,not(cin)),X_333)))),bind(Z0,$fot(not(xor(cin,X_333))))]]) ).
cnf(refute_0_9175,plain,
( xor(t2,xor(xor(t2,not(cin)),X_333)) != not(xor(cin,X_333))
| xor(xor(t2,not(cin)),xor(X_333,t2)) = not(xor(cin,X_333)) ),
inference(resolve,[$cnf( $equal(xor(xor(t2,not(cin)),xor(X_333,t2)),xor(t2,xor(xor(t2,not(cin)),X_333))) )],[refute_0_9173,refute_0_9174]) ).
cnf(refute_0_9176,plain,
xor(xor(t2,not(cin)),xor(X_333,t2)) = not(xor(cin,X_333)),
inference(resolve,[$cnf( $equal(xor(t2,xor(xor(t2,not(cin)),X_333)),not(xor(cin,X_333))) )],[refute_0_9172,refute_0_9175]) ).
cnf(refute_0_9177,plain,
xor(cin,xor(xor(t2,not(cin)),xor(X_333,t2))) = xor(cin,xor(xor(t2,not(cin)),xor(X_333,t2))),
introduced(tautology,[refl,[$fot(xor(cin,xor(xor(t2,not(cin)),xor(X_333,t2))))]]) ).
cnf(refute_0_9178,plain,
( xor(cin,xor(xor(t2,not(cin)),xor(X_333,t2))) != xor(cin,xor(xor(t2,not(cin)),xor(X_333,t2)))
| xor(xor(t2,not(cin)),xor(X_333,t2)) != not(xor(cin,X_333))
| xor(cin,xor(xor(t2,not(cin)),xor(X_333,t2))) = xor(cin,not(xor(cin,X_333))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(xor(t2,not(cin)),xor(X_333,t2))),xor(cin,xor(xor(t2,not(cin)),xor(X_333,t2)))) ),[1,1],$fot(not(xor(cin,X_333)))]]) ).
cnf(refute_0_9179,plain,
( xor(xor(t2,not(cin)),xor(X_333,t2)) != not(xor(cin,X_333))
| xor(cin,xor(xor(t2,not(cin)),xor(X_333,t2))) = xor(cin,not(xor(cin,X_333))) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(xor(t2,not(cin)),xor(X_333,t2))),xor(cin,xor(xor(t2,not(cin)),xor(X_333,t2)))) )],[refute_0_9177,refute_0_9178]) ).
cnf(refute_0_9180,plain,
xor(cin,xor(xor(t2,not(cin)),xor(X_333,t2))) = xor(cin,not(xor(cin,X_333))),
inference(resolve,[$cnf( $equal(xor(xor(t2,not(cin)),xor(X_333,t2)),not(xor(cin,X_333))) )],[refute_0_9176,refute_0_9179]) ).
cnf(refute_0_9181,plain,
( xor(cin,not(xor(cin,X_333))) != not(xor(cin,xor(cin,X_333)))
| xor(cin,xor(xor(t2,not(cin)),xor(X_333,t2))) != xor(cin,not(xor(cin,X_333)))
| xor(cin,xor(xor(t2,not(cin)),xor(X_333,t2))) = not(xor(cin,xor(cin,X_333))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(cin,xor(xor(t2,not(cin)),xor(X_333,t2))))),bind(Y0,$fot(xor(cin,not(xor(cin,X_333))))),bind(Z0,$fot(not(xor(cin,xor(cin,X_333)))))]]) ).
cnf(refute_0_9182,plain,
( xor(cin,not(xor(cin,X_333))) != not(xor(cin,xor(cin,X_333)))
| xor(cin,xor(xor(t2,not(cin)),xor(X_333,t2))) = not(xor(cin,xor(cin,X_333))) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(xor(t2,not(cin)),xor(X_333,t2))),xor(cin,not(xor(cin,X_333)))) )],[refute_0_9180,refute_0_9181]) ).
cnf(refute_0_9183,plain,
xor(cin,xor(xor(t2,not(cin)),xor(X_333,t2))) = not(xor(cin,xor(cin,X_333))),
inference(resolve,[$cnf( $equal(xor(cin,not(xor(cin,X_333))),not(xor(cin,xor(cin,X_333)))) )],[refute_0_9112,refute_0_9182]) ).
cnf(refute_0_9184,plain,
xor(xor(X_333,t2),xor(cin,xor(t2,not(cin)))) = xor(cin,xor(xor(t2,not(cin)),xor(X_333,t2))),
inference(subst,[],[refute_0_1451:[bind(X,$fot(xor(X_333,t2))),bind(X_333,$fot(cin)),bind(X_334,$fot(xor(t2,not(cin))))]]) ).
cnf(refute_0_9185,plain,
( xor(cin,xor(xor(t2,not(cin)),xor(X_333,t2))) != not(xor(cin,xor(cin,X_333)))
| xor(xor(X_333,t2),xor(cin,xor(t2,not(cin)))) != xor(cin,xor(xor(t2,not(cin)),xor(X_333,t2)))
| xor(xor(X_333,t2),xor(cin,xor(t2,not(cin)))) = not(xor(cin,xor(cin,X_333))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X_333,t2),xor(cin,xor(t2,not(cin)))))),bind(Y0,$fot(xor(cin,xor(xor(t2,not(cin)),xor(X_333,t2))))),bind(Z0,$fot(not(xor(cin,xor(cin,X_333)))))]]) ).
cnf(refute_0_9186,plain,
( xor(cin,xor(xor(t2,not(cin)),xor(X_333,t2))) != not(xor(cin,xor(cin,X_333)))
| xor(xor(X_333,t2),xor(cin,xor(t2,not(cin)))) = not(xor(cin,xor(cin,X_333))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,t2),xor(cin,xor(t2,not(cin)))),xor(cin,xor(xor(t2,not(cin)),xor(X_333,t2)))) )],[refute_0_9184,refute_0_9185]) ).
cnf(refute_0_9187,plain,
xor(xor(X_333,t2),xor(cin,xor(t2,not(cin)))) = not(xor(cin,xor(cin,X_333))),
inference(resolve,[$cnf( $equal(xor(cin,xor(xor(t2,not(cin)),xor(X_333,t2))),not(xor(cin,xor(cin,X_333)))) )],[refute_0_9183,refute_0_9186]) ).
cnf(refute_0_9188,plain,
( not(X_333) != xor(xor(X_333,t2),xor(cin,xor(t2,not(cin))))
| xor(xor(X_333,t2),xor(cin,xor(t2,not(cin)))) != not(xor(cin,xor(cin,X_333)))
| not(X_333) = not(xor(cin,xor(cin,X_333))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(X_333),not(xor(cin,xor(cin,X_333)))) ),[0],$fot(xor(xor(X_333,t2),xor(cin,xor(t2,not(cin)))))]]) ).
cnf(refute_0_9189,plain,
( not(X_333) != xor(xor(X_333,t2),xor(cin,xor(t2,not(cin))))
| not(X_333) = not(xor(cin,xor(cin,X_333))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,t2),xor(cin,xor(t2,not(cin)))),not(xor(cin,xor(cin,X_333)))) )],[refute_0_9187,refute_0_9188]) ).
cnf(refute_0_9190,plain,
( xor(X_333,ll1) != xor(xor(X_333,t2),xor(cin,xor(t2,not(cin))))
| not(X_333) = not(xor(cin,xor(cin,X_333))) ),
inference(resolve,[$cnf( $equal(not(X_333),xor(xor(X_333,t2),xor(cin,xor(t2,not(cin))))) )],[refute_0_9111,refute_0_9189]) ).
cnf(refute_0_9191,plain,
not(X_333) = not(xor(cin,xor(cin,X_333))),
inference(resolve,[$cnf( $equal(xor(X_333,ll1),xor(xor(X_333,t2),xor(cin,xor(t2,not(cin))))) )],[refute_0_9109,refute_0_9190]) ).
cnf(refute_0_9192,plain,
( not(X_333) != not(xor(cin,xor(cin,X_333)))
| not(xor(cin,xor(cin,X_333))) = not(X_333) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(X_333))),bind(Y0,$fot(not(xor(cin,xor(cin,X_333)))))]]) ).
cnf(refute_0_9193,plain,
not(xor(cin,xor(cin,X_333))) = not(X_333),
inference(resolve,[$cnf( $equal(not(X_333),not(xor(cin,xor(cin,X_333)))) )],[refute_0_9191,refute_0_9192]) ).
cnf(refute_0_9194,plain,
not(xor(cin,xor(cin,xor(X_335,t2)))) = not(xor(X_335,t2)),
inference(subst,[],[refute_0_9193:[bind(X_333,$fot(xor(X_335,t2)))]]) ).
cnf(refute_0_9195,plain,
xor(cin,not(xor(cin,xor(X_335,t2)))) = not(xor(cin,xor(cin,xor(X_335,t2)))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(cin)),bind(X_334,$fot(xor(cin,xor(X_335,t2))))]]) ).
cnf(refute_0_9196,plain,
( not(xor(cin,xor(cin,xor(X_335,t2)))) != not(xor(X_335,t2))
| xor(cin,not(xor(cin,xor(X_335,t2)))) != not(xor(cin,xor(cin,xor(X_335,t2))))
| xor(cin,not(xor(cin,xor(X_335,t2)))) = not(xor(X_335,t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(cin,not(xor(cin,xor(X_335,t2)))))),bind(Y0,$fot(not(xor(cin,xor(cin,xor(X_335,t2)))))),bind(Z0,$fot(not(xor(X_335,t2))))]]) ).
cnf(refute_0_9197,plain,
( not(xor(cin,xor(cin,xor(X_335,t2)))) != not(xor(X_335,t2))
| xor(cin,not(xor(cin,xor(X_335,t2)))) = not(xor(X_335,t2)) ),
inference(resolve,[$cnf( $equal(xor(cin,not(xor(cin,xor(X_335,t2)))),not(xor(cin,xor(cin,xor(X_335,t2))))) )],[refute_0_9195,refute_0_9196]) ).
cnf(refute_0_9198,plain,
xor(cin,not(xor(cin,xor(X_335,t2)))) = not(xor(X_335,t2)),
inference(resolve,[$cnf( $equal(not(xor(cin,xor(cin,xor(X_335,t2)))),not(xor(X_335,t2))) )],[refute_0_9194,refute_0_9197]) ).
cnf(refute_0_9199,plain,
xor(t2,xor(cin,X_335)) = xor(cin,xor(X_335,t2)),
inference(subst,[],[refute_0_1451:[bind(X,$fot(t2)),bind(X_333,$fot(cin)),bind(X_334,$fot(X_335))]]) ).
cnf(refute_0_9200,plain,
not(xor(t2,xor(cin,X_335))) = not(xor(t2,xor(cin,X_335))),
introduced(tautology,[refl,[$fot(not(xor(t2,xor(cin,X_335))))]]) ).
cnf(refute_0_9201,plain,
( not(xor(t2,xor(cin,X_335))) != not(xor(t2,xor(cin,X_335)))
| xor(t2,xor(cin,X_335)) != xor(cin,xor(X_335,t2))
| not(xor(t2,xor(cin,X_335))) = not(xor(cin,xor(X_335,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t2,xor(cin,X_335))),not(xor(t2,xor(cin,X_335)))) ),[1,0],$fot(xor(cin,xor(X_335,t2)))]]) ).
cnf(refute_0_9202,plain,
( xor(t2,xor(cin,X_335)) != xor(cin,xor(X_335,t2))
| not(xor(t2,xor(cin,X_335))) = not(xor(cin,xor(X_335,t2))) ),
inference(resolve,[$cnf( $equal(not(xor(t2,xor(cin,X_335))),not(xor(t2,xor(cin,X_335)))) )],[refute_0_9200,refute_0_9201]) ).
cnf(refute_0_9203,plain,
not(xor(t2,xor(cin,X_335))) = not(xor(cin,xor(X_335,t2))),
inference(resolve,[$cnf( $equal(xor(t2,xor(cin,X_335)),xor(cin,xor(X_335,t2))) )],[refute_0_9199,refute_0_9202]) ).
cnf(refute_0_9204,plain,
xor(t2,not(xor(cin,X_335))) = not(xor(t2,xor(cin,X_335))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t2)),bind(X_334,$fot(xor(cin,X_335)))]]) ).
cnf(refute_0_9205,plain,
( not(xor(t2,xor(cin,X_335))) != not(xor(cin,xor(X_335,t2)))
| xor(t2,not(xor(cin,X_335))) != not(xor(t2,xor(cin,X_335)))
| xor(t2,not(xor(cin,X_335))) = not(xor(cin,xor(X_335,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,not(xor(cin,X_335))))),bind(Y0,$fot(not(xor(t2,xor(cin,X_335))))),bind(Z0,$fot(not(xor(cin,xor(X_335,t2)))))]]) ).
cnf(refute_0_9206,plain,
( not(xor(t2,xor(cin,X_335))) != not(xor(cin,xor(X_335,t2)))
| xor(t2,not(xor(cin,X_335))) = not(xor(cin,xor(X_335,t2))) ),
inference(resolve,[$cnf( $equal(xor(t2,not(xor(cin,X_335))),not(xor(t2,xor(cin,X_335)))) )],[refute_0_9204,refute_0_9205]) ).
cnf(refute_0_9207,plain,
xor(t2,not(xor(cin,X_335))) = not(xor(cin,xor(X_335,t2))),
inference(resolve,[$cnf( $equal(not(xor(t2,xor(cin,X_335))),not(xor(cin,xor(X_335,t2)))) )],[refute_0_9203,refute_0_9206]) ).
cnf(refute_0_9208,plain,
xor(cin,not(X_335)) = not(xor(cin,X_335)),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(cin)),bind(X_334,$fot(X_335))]]) ).
cnf(refute_0_9209,plain,
xor(not(cin),X_335) = xor(cin,not(X_335)),
inference(subst,[],[refute_0_468:[bind(Y,$fot(X_335)),bind(X_63,$fot(cin))]]) ).
cnf(refute_0_9210,plain,
( xor(cin,not(X_335)) != not(xor(cin,X_335))
| xor(not(cin),X_335) != xor(cin,not(X_335))
| xor(not(cin),X_335) = not(xor(cin,X_335)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(not(cin),X_335))),bind(Y0,$fot(xor(cin,not(X_335)))),bind(Z0,$fot(not(xor(cin,X_335))))]]) ).
cnf(refute_0_9211,plain,
( xor(cin,not(X_335)) != not(xor(cin,X_335))
| xor(not(cin),X_335) = not(xor(cin,X_335)) ),
inference(resolve,[$cnf( $equal(xor(not(cin),X_335),xor(cin,not(X_335))) )],[refute_0_9209,refute_0_9210]) ).
cnf(refute_0_9212,plain,
xor(not(cin),X_335) = not(xor(cin,X_335)),
inference(resolve,[$cnf( $equal(xor(cin,not(X_335)),not(xor(cin,X_335))) )],[refute_0_9208,refute_0_9211]) ).
cnf(refute_0_9213,plain,
xor(t2,xor(not(cin),X_335)) = xor(t2,xor(not(cin),X_335)),
introduced(tautology,[refl,[$fot(xor(t2,xor(not(cin),X_335)))]]) ).
cnf(refute_0_9214,plain,
( xor(not(cin),X_335) != not(xor(cin,X_335))
| xor(t2,xor(not(cin),X_335)) != xor(t2,xor(not(cin),X_335))
| xor(t2,xor(not(cin),X_335)) = xor(t2,not(xor(cin,X_335))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,xor(not(cin),X_335)),xor(t2,xor(not(cin),X_335))) ),[1,1],$fot(not(xor(cin,X_335)))]]) ).
cnf(refute_0_9215,plain,
( xor(not(cin),X_335) != not(xor(cin,X_335))
| xor(t2,xor(not(cin),X_335)) = xor(t2,not(xor(cin,X_335))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(not(cin),X_335)),xor(t2,xor(not(cin),X_335))) )],[refute_0_9213,refute_0_9214]) ).
cnf(refute_0_9216,plain,
xor(t2,xor(not(cin),X_335)) = xor(t2,not(xor(cin,X_335))),
inference(resolve,[$cnf( $equal(xor(not(cin),X_335),not(xor(cin,X_335))) )],[refute_0_9212,refute_0_9215]) ).
cnf(refute_0_9217,plain,
( xor(t2,not(xor(cin,X_335))) != not(xor(cin,xor(X_335,t2)))
| xor(t2,xor(not(cin),X_335)) != xor(t2,not(xor(cin,X_335)))
| xor(t2,xor(not(cin),X_335)) = not(xor(cin,xor(X_335,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,xor(not(cin),X_335)))),bind(Y0,$fot(xor(t2,not(xor(cin,X_335))))),bind(Z0,$fot(not(xor(cin,xor(X_335,t2)))))]]) ).
cnf(refute_0_9218,plain,
( xor(t2,not(xor(cin,X_335))) != not(xor(cin,xor(X_335,t2)))
| xor(t2,xor(not(cin),X_335)) = not(xor(cin,xor(X_335,t2))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(not(cin),X_335)),xor(t2,not(xor(cin,X_335)))) )],[refute_0_9216,refute_0_9217]) ).
cnf(refute_0_9219,plain,
xor(t2,xor(not(cin),X_335)) = not(xor(cin,xor(X_335,t2))),
inference(resolve,[$cnf( $equal(xor(t2,not(xor(cin,X_335))),not(xor(cin,xor(X_335,t2)))) )],[refute_0_9207,refute_0_9218]) ).
cnf(refute_0_9220,plain,
xor(xor(t2,not(cin)),X_335) = xor(t2,xor(not(cin),X_335)),
inference(subst,[],[refute_0_526:[bind(X,$fot(t2)),bind(Y,$fot(not(cin))),bind(Z,$fot(X_335))]]) ).
cnf(refute_0_9221,plain,
( xor(t2,xor(not(cin),X_335)) != not(xor(cin,xor(X_335,t2)))
| xor(xor(t2,not(cin)),X_335) != xor(t2,xor(not(cin),X_335))
| xor(xor(t2,not(cin)),X_335) = not(xor(cin,xor(X_335,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(t2,not(cin)),X_335))),bind(Y0,$fot(xor(t2,xor(not(cin),X_335)))),bind(Z0,$fot(not(xor(cin,xor(X_335,t2)))))]]) ).
cnf(refute_0_9222,plain,
( xor(t2,xor(not(cin),X_335)) != not(xor(cin,xor(X_335,t2)))
| xor(xor(t2,not(cin)),X_335) = not(xor(cin,xor(X_335,t2))) ),
inference(resolve,[$cnf( $equal(xor(xor(t2,not(cin)),X_335),xor(t2,xor(not(cin),X_335))) )],[refute_0_9220,refute_0_9221]) ).
cnf(refute_0_9223,plain,
xor(xor(t2,not(cin)),X_335) = not(xor(cin,xor(X_335,t2))),
inference(resolve,[$cnf( $equal(xor(t2,xor(not(cin),X_335)),not(xor(cin,xor(X_335,t2)))) )],[refute_0_9219,refute_0_9222]) ).
cnf(refute_0_9224,plain,
xor(cin,xor(xor(t2,not(cin)),X_335)) = xor(cin,xor(xor(t2,not(cin)),X_335)),
introduced(tautology,[refl,[$fot(xor(cin,xor(xor(t2,not(cin)),X_335)))]]) ).
cnf(refute_0_9225,plain,
( xor(cin,xor(xor(t2,not(cin)),X_335)) != xor(cin,xor(xor(t2,not(cin)),X_335))
| xor(xor(t2,not(cin)),X_335) != not(xor(cin,xor(X_335,t2)))
| xor(cin,xor(xor(t2,not(cin)),X_335)) = xor(cin,not(xor(cin,xor(X_335,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(xor(t2,not(cin)),X_335)),xor(cin,xor(xor(t2,not(cin)),X_335))) ),[1,1],$fot(not(xor(cin,xor(X_335,t2))))]]) ).
cnf(refute_0_9226,plain,
( xor(xor(t2,not(cin)),X_335) != not(xor(cin,xor(X_335,t2)))
| xor(cin,xor(xor(t2,not(cin)),X_335)) = xor(cin,not(xor(cin,xor(X_335,t2)))) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(xor(t2,not(cin)),X_335)),xor(cin,xor(xor(t2,not(cin)),X_335))) )],[refute_0_9224,refute_0_9225]) ).
cnf(refute_0_9227,plain,
xor(cin,xor(xor(t2,not(cin)),X_335)) = xor(cin,not(xor(cin,xor(X_335,t2)))),
inference(resolve,[$cnf( $equal(xor(xor(t2,not(cin)),X_335),not(xor(cin,xor(X_335,t2)))) )],[refute_0_9223,refute_0_9226]) ).
cnf(refute_0_9228,plain,
( xor(cin,not(xor(cin,xor(X_335,t2)))) != not(xor(X_335,t2))
| xor(cin,xor(xor(t2,not(cin)),X_335)) != xor(cin,not(xor(cin,xor(X_335,t2))))
| xor(cin,xor(xor(t2,not(cin)),X_335)) = not(xor(X_335,t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(cin,xor(xor(t2,not(cin)),X_335)))),bind(Y0,$fot(xor(cin,not(xor(cin,xor(X_335,t2)))))),bind(Z0,$fot(not(xor(X_335,t2))))]]) ).
cnf(refute_0_9229,plain,
( xor(cin,not(xor(cin,xor(X_335,t2)))) != not(xor(X_335,t2))
| xor(cin,xor(xor(t2,not(cin)),X_335)) = not(xor(X_335,t2)) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(xor(t2,not(cin)),X_335)),xor(cin,not(xor(cin,xor(X_335,t2))))) )],[refute_0_9227,refute_0_9228]) ).
cnf(refute_0_9230,plain,
xor(cin,xor(xor(t2,not(cin)),X_335)) = not(xor(X_335,t2)),
inference(resolve,[$cnf( $equal(xor(cin,not(xor(cin,xor(X_335,t2)))),not(xor(X_335,t2))) )],[refute_0_9198,refute_0_9229]) ).
cnf(refute_0_9231,plain,
xor(xor(cin,xor(t2,not(cin))),X_335) = xor(cin,xor(xor(t2,not(cin)),X_335)),
inference(subst,[],[refute_0_526:[bind(X,$fot(cin)),bind(Y,$fot(xor(t2,not(cin)))),bind(Z,$fot(X_335))]]) ).
cnf(refute_0_9232,plain,
( xor(cin,xor(xor(t2,not(cin)),X_335)) != not(xor(X_335,t2))
| xor(xor(cin,xor(t2,not(cin))),X_335) != xor(cin,xor(xor(t2,not(cin)),X_335))
| xor(xor(cin,xor(t2,not(cin))),X_335) = not(xor(X_335,t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(cin,xor(t2,not(cin))),X_335))),bind(Y0,$fot(xor(cin,xor(xor(t2,not(cin)),X_335)))),bind(Z0,$fot(not(xor(X_335,t2))))]]) ).
cnf(refute_0_9233,plain,
( xor(cin,xor(xor(t2,not(cin)),X_335)) != not(xor(X_335,t2))
| xor(xor(cin,xor(t2,not(cin))),X_335) = not(xor(X_335,t2)) ),
inference(resolve,[$cnf( $equal(xor(xor(cin,xor(t2,not(cin))),X_335),xor(cin,xor(xor(t2,not(cin)),X_335))) )],[refute_0_9231,refute_0_9232]) ).
cnf(refute_0_9234,plain,
xor(xor(cin,xor(t2,not(cin))),X_335) = not(xor(X_335,t2)),
inference(resolve,[$cnf( $equal(xor(cin,xor(xor(t2,not(cin)),X_335)),not(xor(X_335,t2))) )],[refute_0_9230,refute_0_9233]) ).
cnf(refute_0_9235,plain,
xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335)) = xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335)),
introduced(tautology,[refl,[$fot(xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335)))]]) ).
cnf(refute_0_9236,plain,
( xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335)) != xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335))
| xor(xor(cin,xor(t2,not(cin))),X_335) != not(xor(X_335,t2))
| xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335)) = xor(t2,not(xor(X_335,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335)),xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335))) ),[1,1],$fot(not(xor(X_335,t2)))]]) ).
cnf(refute_0_9237,plain,
( xor(xor(cin,xor(t2,not(cin))),X_335) != not(xor(X_335,t2))
| xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335)) = xor(t2,not(xor(X_335,t2))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335)),xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335))) )],[refute_0_9235,refute_0_9236]) ).
cnf(refute_0_9238,plain,
xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335)) = xor(t2,not(xor(X_335,t2))),
inference(resolve,[$cnf( $equal(xor(xor(cin,xor(t2,not(cin))),X_335),not(xor(X_335,t2))) )],[refute_0_9234,refute_0_9237]) ).
cnf(refute_0_9239,plain,
( xor(t2,not(xor(X_335,t2))) != not(xor(t2,xor(X_335,t2)))
| xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335)) != xor(t2,not(xor(X_335,t2)))
| xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335)) = not(xor(t2,xor(X_335,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335)))),bind(Y0,$fot(xor(t2,not(xor(X_335,t2))))),bind(Z0,$fot(not(xor(t2,xor(X_335,t2)))))]]) ).
cnf(refute_0_9240,plain,
( xor(t2,not(xor(X_335,t2))) != not(xor(t2,xor(X_335,t2)))
| xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335)) = not(xor(t2,xor(X_335,t2))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335)),xor(t2,not(xor(X_335,t2)))) )],[refute_0_9238,refute_0_9239]) ).
cnf(refute_0_9241,plain,
xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335)) = not(xor(t2,xor(X_335,t2))),
inference(resolve,[$cnf( $equal(xor(t2,not(xor(X_335,t2))),not(xor(t2,xor(X_335,t2)))) )],[refute_0_9105,refute_0_9240]) ).
cnf(refute_0_9242,plain,
( xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335)) != not(xor(t2,xor(X_335,t2)))
| xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335)) != xor(ll1,X_335)
| not(xor(t2,xor(X_335,t2))) = xor(ll1,X_335) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335)),xor(ll1,X_335)) ),[0],$fot(not(xor(t2,xor(X_335,t2))))]]) ).
cnf(refute_0_9243,plain,
( xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335)) != xor(ll1,X_335)
| not(xor(t2,xor(X_335,t2))) = xor(ll1,X_335) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335)),not(xor(t2,xor(X_335,t2)))) )],[refute_0_9241,refute_0_9242]) ).
cnf(refute_0_9244,plain,
( not(xor(t2,xor(X_335,t2))) != xor(ll1,X_335)
| xor(ll1,X_335) != not(X_335)
| not(xor(t2,xor(X_335,t2))) = not(X_335) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(t2,xor(X_335,t2))),not(X_335)) ),[0],$fot(xor(ll1,X_335))]]) ).
cnf(refute_0_9245,plain,
( not(xor(t2,xor(X_335,t2))) != xor(ll1,X_335)
| not(xor(t2,xor(X_335,t2))) = not(X_335) ),
inference(resolve,[$cnf( $equal(xor(ll1,X_335),not(X_335)) )],[refute_0_5228,refute_0_9244]) ).
cnf(refute_0_9246,plain,
( xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335)) != xor(ll1,X_335)
| not(xor(t2,xor(X_335,t2))) = not(X_335) ),
inference(resolve,[$cnf( $equal(not(xor(t2,xor(X_335,t2))),xor(ll1,X_335)) )],[refute_0_9243,refute_0_9245]) ).
cnf(refute_0_9247,plain,
not(xor(t2,xor(X_335,t2))) = not(X_335),
inference(resolve,[$cnf( $equal(xor(t2,xor(xor(cin,xor(t2,not(cin))),X_335)),xor(ll1,X_335)) )],[refute_0_9104,refute_0_9246]) ).
cnf(refute_0_9248,plain,
not(xor(t2,xor(X_344,t2))) = not(X_344),
inference(subst,[],[refute_0_9247:[bind(X_335,$fot(X_344))]]) ).
cnf(refute_0_9249,plain,
( and(t6,or(xor(t2,xor(X_344,t2)),not(cin))) != xor(t6,and(cin,not(xor(t2,xor(X_344,t2)))))
| not(xor(t2,xor(X_344,t2))) != not(X_344)
| and(t6,or(xor(t2,xor(X_344,t2)),not(cin))) = xor(t6,and(cin,not(X_344))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(xor(t2,xor(X_344,t2)),not(cin))),xor(t6,and(cin,not(xor(t2,xor(X_344,t2)))))) ),[1,1,1],$fot(not(X_344))]]) ).
cnf(refute_0_9250,plain,
( and(t6,or(xor(t2,xor(X_344,t2)),not(cin))) != xor(t6,and(cin,not(xor(t2,xor(X_344,t2)))))
| and(t6,or(xor(t2,xor(X_344,t2)),not(cin))) = xor(t6,and(cin,not(X_344))) ),
inference(resolve,[$cnf( $equal(not(xor(t2,xor(X_344,t2))),not(X_344)) )],[refute_0_9248,refute_0_9249]) ).
cnf(refute_0_9251,plain,
and(t6,or(xor(t2,xor(X_344,t2)),not(cin))) = xor(t6,and(cin,not(X_344))),
inference(resolve,[$cnf( $equal(and(t6,or(xor(t2,xor(X_344,t2)),not(cin))),xor(t6,and(cin,not(xor(t2,xor(X_344,t2)))))) )],[refute_0_8998,refute_0_9250]) ).
cnf(refute_0_9252,plain,
and(t6,or(xor(t2,xor(X_344,t2)),not(cin))) = and(t6,or(not(cin),xor(t2,xor(X_344,t2)))),
inference(subst,[],[refute_0_8086:[bind(X_209,$fot(xor(t2,xor(X_344,t2))))]]) ).
cnf(refute_0_9253,plain,
( and(t6,or(xor(t2,xor(X_344,t2)),not(cin))) != and(t6,or(not(cin),xor(t2,xor(X_344,t2))))
| and(t6,or(xor(t2,xor(X_344,t2)),not(cin))) != xor(t6,and(cin,not(X_344)))
| and(t6,or(not(cin),xor(t2,xor(X_344,t2)))) = xor(t6,and(cin,not(X_344))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(xor(t2,xor(X_344,t2)),not(cin))),xor(t6,and(cin,not(X_344)))) ),[0],$fot(and(t6,or(not(cin),xor(t2,xor(X_344,t2)))))]]) ).
cnf(refute_0_9254,plain,
( and(t6,or(xor(t2,xor(X_344,t2)),not(cin))) != xor(t6,and(cin,not(X_344)))
| and(t6,or(not(cin),xor(t2,xor(X_344,t2)))) = xor(t6,and(cin,not(X_344))) ),
inference(resolve,[$cnf( $equal(and(t6,or(xor(t2,xor(X_344,t2)),not(cin))),and(t6,or(not(cin),xor(t2,xor(X_344,t2))))) )],[refute_0_9252,refute_0_9253]) ).
cnf(refute_0_9255,plain,
xor(t6,and(cin,not(X_344))) = and(t6,or(X_344,not(cin))),
inference(subst,[],[refute_0_7535:[bind(X,$fot(X_344))]]) ).
cnf(refute_0_9256,plain,
( and(t6,or(not(cin),xor(t2,xor(X_344,t2)))) != xor(t6,and(cin,not(X_344)))
| xor(t6,and(cin,not(X_344))) != and(t6,or(X_344,not(cin)))
| and(t6,or(not(cin),xor(t2,xor(X_344,t2)))) = and(t6,or(X_344,not(cin))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,or(not(cin),xor(t2,xor(X_344,t2)))),and(t6,or(X_344,not(cin)))) ),[0],$fot(xor(t6,and(cin,not(X_344))))]]) ).
cnf(refute_0_9257,plain,
( and(t6,or(not(cin),xor(t2,xor(X_344,t2)))) != xor(t6,and(cin,not(X_344)))
| and(t6,or(not(cin),xor(t2,xor(X_344,t2)))) = and(t6,or(X_344,not(cin))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,not(X_344))),and(t6,or(X_344,not(cin)))) )],[refute_0_9255,refute_0_9256]) ).
cnf(refute_0_9258,plain,
( and(t6,or(xor(t2,xor(X_344,t2)),not(cin))) != xor(t6,and(cin,not(X_344)))
| and(t6,or(not(cin),xor(t2,xor(X_344,t2)))) = and(t6,or(X_344,not(cin))) ),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(t2,xor(X_344,t2)))),xor(t6,and(cin,not(X_344)))) )],[refute_0_9254,refute_0_9257]) ).
cnf(refute_0_9259,plain,
and(t6,or(not(cin),xor(t2,xor(X_344,t2)))) = and(t6,or(X_344,not(cin))),
inference(resolve,[$cnf( $equal(and(t6,or(xor(t2,xor(X_344,t2)),not(cin))),xor(t6,and(cin,not(X_344)))) )],[refute_0_9251,refute_0_9258]) ).
cnf(refute_0_9260,plain,
not(not(xor(t2,xor(X_344,t2)))) = xor(t2,xor(X_344,t2)),
inference(subst,[],[not_involution:[bind(X,$fot(xor(t2,xor(X_344,t2))))]]) ).
cnf(refute_0_9261,plain,
( not(not(xor(t2,xor(X_344,t2)))) != xor(t2,xor(X_344,t2))
| not(xor(t2,xor(X_344,t2))) != not(X_344)
| not(not(X_344)) = xor(t2,xor(X_344,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(xor(t2,xor(X_344,t2)))),xor(t2,xor(X_344,t2))) ),[0,0],$fot(not(X_344))]]) ).
cnf(refute_0_9262,plain,
( not(not(xor(t2,xor(X_344,t2)))) != xor(t2,xor(X_344,t2))
| not(not(X_344)) = xor(t2,xor(X_344,t2)) ),
inference(resolve,[$cnf( $equal(not(xor(t2,xor(X_344,t2))),not(X_344)) )],[refute_0_9248,refute_0_9261]) ).
cnf(refute_0_9263,plain,
not(not(X_344)) = xor(t2,xor(X_344,t2)),
inference(resolve,[$cnf( $equal(not(not(xor(t2,xor(X_344,t2)))),xor(t2,xor(X_344,t2))) )],[refute_0_9260,refute_0_9262]) ).
cnf(refute_0_9264,plain,
not(not(X_344)) = X_344,
inference(subst,[],[not_involution:[bind(X,$fot(X_344))]]) ).
cnf(refute_0_9265,plain,
( not(not(X_344)) != X_344
| not(not(X_344)) != xor(t2,xor(X_344,t2))
| X_344 = xor(t2,xor(X_344,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(X_344)),xor(t2,xor(X_344,t2))) ),[0],$fot(X_344)]]) ).
cnf(refute_0_9266,plain,
( not(not(X_344)) != xor(t2,xor(X_344,t2))
| X_344 = xor(t2,xor(X_344,t2)) ),
inference(resolve,[$cnf( $equal(not(not(X_344)),X_344) )],[refute_0_9264,refute_0_9265]) ).
cnf(refute_0_9267,plain,
X_344 = xor(t2,xor(X_344,t2)),
inference(resolve,[$cnf( $equal(not(not(X_344)),xor(t2,xor(X_344,t2))) )],[refute_0_9263,refute_0_9266]) ).
cnf(refute_0_9268,plain,
( X_344 != xor(t2,xor(X_344,t2))
| xor(t2,xor(X_344,t2)) = X_344 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_344)),bind(Y0,$fot(xor(t2,xor(X_344,t2))))]]) ).
cnf(refute_0_9269,plain,
xor(t2,xor(X_344,t2)) = X_344,
inference(resolve,[$cnf( $equal(X_344,xor(t2,xor(X_344,t2))) )],[refute_0_9267,refute_0_9268]) ).
cnf(refute_0_9270,plain,
or(not(cin),xor(t2,xor(X_344,t2))) = or(not(cin),xor(t2,xor(X_344,t2))),
introduced(tautology,[refl,[$fot(or(not(cin),xor(t2,xor(X_344,t2))))]]) ).
cnf(refute_0_9271,plain,
( or(not(cin),xor(t2,xor(X_344,t2))) != or(not(cin),xor(t2,xor(X_344,t2)))
| xor(t2,xor(X_344,t2)) != X_344
| or(not(cin),xor(t2,xor(X_344,t2))) = or(not(cin),X_344) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(cin),xor(t2,xor(X_344,t2))),or(not(cin),xor(t2,xor(X_344,t2)))) ),[1,1],$fot(X_344)]]) ).
cnf(refute_0_9272,plain,
( xor(t2,xor(X_344,t2)) != X_344
| or(not(cin),xor(t2,xor(X_344,t2))) = or(not(cin),X_344) ),
inference(resolve,[$cnf( $equal(or(not(cin),xor(t2,xor(X_344,t2))),or(not(cin),xor(t2,xor(X_344,t2)))) )],[refute_0_9270,refute_0_9271]) ).
cnf(refute_0_9273,plain,
or(not(cin),xor(t2,xor(X_344,t2))) = or(not(cin),X_344),
inference(resolve,[$cnf( $equal(xor(t2,xor(X_344,t2)),X_344) )],[refute_0_9269,refute_0_9272]) ).
cnf(refute_0_9274,plain,
and(t6,or(not(cin),xor(t2,xor(X_344,t2)))) = and(t6,or(not(cin),xor(t2,xor(X_344,t2)))),
introduced(tautology,[refl,[$fot(and(t6,or(not(cin),xor(t2,xor(X_344,t2)))))]]) ).
cnf(refute_0_9275,plain,
( and(t6,or(not(cin),xor(t2,xor(X_344,t2)))) != and(t6,or(not(cin),xor(t2,xor(X_344,t2))))
| or(not(cin),xor(t2,xor(X_344,t2))) != or(not(cin),X_344)
| and(t6,or(not(cin),xor(t2,xor(X_344,t2)))) = and(t6,or(not(cin),X_344)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(not(cin),xor(t2,xor(X_344,t2)))),and(t6,or(not(cin),xor(t2,xor(X_344,t2))))) ),[1,1],$fot(or(not(cin),X_344))]]) ).
cnf(refute_0_9276,plain,
( or(not(cin),xor(t2,xor(X_344,t2))) != or(not(cin),X_344)
| and(t6,or(not(cin),xor(t2,xor(X_344,t2)))) = and(t6,or(not(cin),X_344)) ),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(t2,xor(X_344,t2)))),and(t6,or(not(cin),xor(t2,xor(X_344,t2))))) )],[refute_0_9274,refute_0_9275]) ).
cnf(refute_0_9277,plain,
and(t6,or(not(cin),xor(t2,xor(X_344,t2)))) = and(t6,or(not(cin),X_344)),
inference(resolve,[$cnf( $equal(or(not(cin),xor(t2,xor(X_344,t2))),or(not(cin),X_344)) )],[refute_0_9273,refute_0_9276]) ).
cnf(refute_0_9278,plain,
( and(t6,or(not(cin),xor(t2,xor(X_344,t2)))) != and(t6,or(X_344,not(cin)))
| and(t6,or(not(cin),xor(t2,xor(X_344,t2)))) != and(t6,or(not(cin),X_344))
| and(t6,or(not(cin),X_344)) = and(t6,or(X_344,not(cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(not(cin),xor(t2,xor(X_344,t2)))),and(t6,or(X_344,not(cin)))) ),[0],$fot(and(t6,or(not(cin),X_344)))]]) ).
cnf(refute_0_9279,plain,
( and(t6,or(not(cin),xor(t2,xor(X_344,t2)))) != and(t6,or(X_344,not(cin)))
| and(t6,or(not(cin),X_344)) = and(t6,or(X_344,not(cin))) ),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(t2,xor(X_344,t2)))),and(t6,or(not(cin),X_344))) )],[refute_0_9277,refute_0_9278]) ).
cnf(refute_0_9280,plain,
and(t6,or(not(cin),X_344)) = and(t6,or(X_344,not(cin))),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(t2,xor(X_344,t2)))),and(t6,or(X_344,not(cin)))) )],[refute_0_9259,refute_0_9279]) ).
cnf(refute_0_9281,plain,
( and(t6,or(not(cin),X_344)) != and(t6,or(X_344,not(cin)))
| and(t6,or(X_344,not(cin))) = and(t6,or(not(cin),X_344)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t6,or(not(cin),X_344)))),bind(Y0,$fot(and(t6,or(X_344,not(cin)))))]]) ).
cnf(refute_0_9282,plain,
and(t6,or(X_344,not(cin))) = and(t6,or(not(cin),X_344)),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),X_344)),and(t6,or(X_344,not(cin)))) )],[refute_0_9280,refute_0_9281]) ).
cnf(refute_0_9283,plain,
and(t6,or(xor(t1,xor(X_349,t1)),not(cin))) = and(t6,or(not(cin),xor(t1,xor(X_349,t1)))),
inference(subst,[],[refute_0_9282:[bind(X_344,$fot(xor(t1,xor(X_349,t1))))]]) ).
cnf(refute_0_9284,plain,
( and(t6,or(xor(t1,xor(X_349,t1)),not(cin))) != and(t6,or(not(cin),xor(t1,xor(X_349,t1))))
| and(t6,or(xor(t1,xor(X_349,t1)),not(cin))) != xor(t6,and(cin,not(X_349)))
| and(t6,or(not(cin),xor(t1,xor(X_349,t1)))) = xor(t6,and(cin,not(X_349))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(xor(t1,xor(X_349,t1)),not(cin))),xor(t6,and(cin,not(X_349)))) ),[0],$fot(and(t6,or(not(cin),xor(t1,xor(X_349,t1)))))]]) ).
cnf(refute_0_9285,plain,
( and(t6,or(xor(t1,xor(X_349,t1)),not(cin))) != xor(t6,and(cin,not(X_349)))
| and(t6,or(not(cin),xor(t1,xor(X_349,t1)))) = xor(t6,and(cin,not(X_349))) ),
inference(resolve,[$cnf( $equal(and(t6,or(xor(t1,xor(X_349,t1)),not(cin))),and(t6,or(not(cin),xor(t1,xor(X_349,t1))))) )],[refute_0_9283,refute_0_9284]) ).
cnf(refute_0_9286,plain,
xor(t6,and(cin,not(X_349))) = and(t6,or(X_349,not(cin))),
inference(subst,[],[refute_0_7535:[bind(X,$fot(X_349))]]) ).
cnf(refute_0_9287,plain,
( and(t6,or(not(cin),xor(t1,xor(X_349,t1)))) != xor(t6,and(cin,not(X_349)))
| xor(t6,and(cin,not(X_349))) != and(t6,or(X_349,not(cin)))
| and(t6,or(not(cin),xor(t1,xor(X_349,t1)))) = and(t6,or(X_349,not(cin))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,or(not(cin),xor(t1,xor(X_349,t1)))),and(t6,or(X_349,not(cin)))) ),[0],$fot(xor(t6,and(cin,not(X_349))))]]) ).
cnf(refute_0_9288,plain,
( and(t6,or(not(cin),xor(t1,xor(X_349,t1)))) != xor(t6,and(cin,not(X_349)))
| and(t6,or(not(cin),xor(t1,xor(X_349,t1)))) = and(t6,or(X_349,not(cin))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,not(X_349))),and(t6,or(X_349,not(cin)))) )],[refute_0_9286,refute_0_9287]) ).
cnf(refute_0_9289,plain,
( and(t6,or(xor(t1,xor(X_349,t1)),not(cin))) != xor(t6,and(cin,not(X_349)))
| and(t6,or(not(cin),xor(t1,xor(X_349,t1)))) = and(t6,or(X_349,not(cin))) ),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(t1,xor(X_349,t1)))),xor(t6,and(cin,not(X_349)))) )],[refute_0_9285,refute_0_9288]) ).
cnf(refute_0_9290,plain,
and(t6,or(not(cin),xor(t1,xor(X_349,t1)))) = and(t6,or(X_349,not(cin))),
inference(resolve,[$cnf( $equal(and(t6,or(xor(t1,xor(X_349,t1)),not(cin))),xor(t6,and(cin,not(X_349)))) )],[refute_0_8997,refute_0_9289]) ).
cnf(refute_0_9291,plain,
not(not(xor(t1,xor(X_349,t1)))) = xor(t1,xor(X_349,t1)),
inference(subst,[],[not_involution:[bind(X,$fot(xor(t1,xor(X_349,t1))))]]) ).
cnf(refute_0_9292,plain,
( not(not(xor(t1,xor(X_349,t1)))) != xor(t1,xor(X_349,t1))
| not(xor(t1,xor(X_349,t1))) != not(X_349)
| not(not(X_349)) = xor(t1,xor(X_349,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(xor(t1,xor(X_349,t1)))),xor(t1,xor(X_349,t1))) ),[0,0],$fot(not(X_349))]]) ).
cnf(refute_0_9293,plain,
( not(not(xor(t1,xor(X_349,t1)))) != xor(t1,xor(X_349,t1))
| not(not(X_349)) = xor(t1,xor(X_349,t1)) ),
inference(resolve,[$cnf( $equal(not(xor(t1,xor(X_349,t1))),not(X_349)) )],[refute_0_8994,refute_0_9292]) ).
cnf(refute_0_9294,plain,
not(not(X_349)) = xor(t1,xor(X_349,t1)),
inference(resolve,[$cnf( $equal(not(not(xor(t1,xor(X_349,t1)))),xor(t1,xor(X_349,t1))) )],[refute_0_9291,refute_0_9293]) ).
cnf(refute_0_9295,plain,
not(not(X_349)) = X_349,
inference(subst,[],[not_involution:[bind(X,$fot(X_349))]]) ).
cnf(refute_0_9296,plain,
( not(not(X_349)) != X_349
| not(not(X_349)) != xor(t1,xor(X_349,t1))
| X_349 = xor(t1,xor(X_349,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(X_349)),xor(t1,xor(X_349,t1))) ),[0],$fot(X_349)]]) ).
cnf(refute_0_9297,plain,
( not(not(X_349)) != xor(t1,xor(X_349,t1))
| X_349 = xor(t1,xor(X_349,t1)) ),
inference(resolve,[$cnf( $equal(not(not(X_349)),X_349) )],[refute_0_9295,refute_0_9296]) ).
cnf(refute_0_9298,plain,
X_349 = xor(t1,xor(X_349,t1)),
inference(resolve,[$cnf( $equal(not(not(X_349)),xor(t1,xor(X_349,t1))) )],[refute_0_9294,refute_0_9297]) ).
cnf(refute_0_9299,plain,
( X_349 != xor(t1,xor(X_349,t1))
| xor(t1,xor(X_349,t1)) = X_349 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_349)),bind(Y0,$fot(xor(t1,xor(X_349,t1))))]]) ).
cnf(refute_0_9300,plain,
xor(t1,xor(X_349,t1)) = X_349,
inference(resolve,[$cnf( $equal(X_349,xor(t1,xor(X_349,t1))) )],[refute_0_9298,refute_0_9299]) ).
cnf(refute_0_9301,plain,
or(not(cin),xor(t1,xor(X_349,t1))) = or(not(cin),xor(t1,xor(X_349,t1))),
introduced(tautology,[refl,[$fot(or(not(cin),xor(t1,xor(X_349,t1))))]]) ).
cnf(refute_0_9302,plain,
( or(not(cin),xor(t1,xor(X_349,t1))) != or(not(cin),xor(t1,xor(X_349,t1)))
| xor(t1,xor(X_349,t1)) != X_349
| or(not(cin),xor(t1,xor(X_349,t1))) = or(not(cin),X_349) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(cin),xor(t1,xor(X_349,t1))),or(not(cin),xor(t1,xor(X_349,t1)))) ),[1,1],$fot(X_349)]]) ).
cnf(refute_0_9303,plain,
( xor(t1,xor(X_349,t1)) != X_349
| or(not(cin),xor(t1,xor(X_349,t1))) = or(not(cin),X_349) ),
inference(resolve,[$cnf( $equal(or(not(cin),xor(t1,xor(X_349,t1))),or(not(cin),xor(t1,xor(X_349,t1)))) )],[refute_0_9301,refute_0_9302]) ).
cnf(refute_0_9304,plain,
or(not(cin),xor(t1,xor(X_349,t1))) = or(not(cin),X_349),
inference(resolve,[$cnf( $equal(xor(t1,xor(X_349,t1)),X_349) )],[refute_0_9300,refute_0_9303]) ).
cnf(refute_0_9305,plain,
and(t6,or(not(cin),xor(t1,xor(X_349,t1)))) = and(t6,or(not(cin),xor(t1,xor(X_349,t1)))),
introduced(tautology,[refl,[$fot(and(t6,or(not(cin),xor(t1,xor(X_349,t1)))))]]) ).
cnf(refute_0_9306,plain,
( and(t6,or(not(cin),xor(t1,xor(X_349,t1)))) != and(t6,or(not(cin),xor(t1,xor(X_349,t1))))
| or(not(cin),xor(t1,xor(X_349,t1))) != or(not(cin),X_349)
| and(t6,or(not(cin),xor(t1,xor(X_349,t1)))) = and(t6,or(not(cin),X_349)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(not(cin),xor(t1,xor(X_349,t1)))),and(t6,or(not(cin),xor(t1,xor(X_349,t1))))) ),[1,1],$fot(or(not(cin),X_349))]]) ).
cnf(refute_0_9307,plain,
( or(not(cin),xor(t1,xor(X_349,t1))) != or(not(cin),X_349)
| and(t6,or(not(cin),xor(t1,xor(X_349,t1)))) = and(t6,or(not(cin),X_349)) ),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(t1,xor(X_349,t1)))),and(t6,or(not(cin),xor(t1,xor(X_349,t1))))) )],[refute_0_9305,refute_0_9306]) ).
cnf(refute_0_9308,plain,
and(t6,or(not(cin),xor(t1,xor(X_349,t1)))) = and(t6,or(not(cin),X_349)),
inference(resolve,[$cnf( $equal(or(not(cin),xor(t1,xor(X_349,t1))),or(not(cin),X_349)) )],[refute_0_9304,refute_0_9307]) ).
cnf(refute_0_9309,plain,
( and(t6,or(not(cin),xor(t1,xor(X_349,t1)))) != and(t6,or(X_349,not(cin)))
| and(t6,or(not(cin),xor(t1,xor(X_349,t1)))) != and(t6,or(not(cin),X_349))
| and(t6,or(not(cin),X_349)) = and(t6,or(X_349,not(cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(not(cin),xor(t1,xor(X_349,t1)))),and(t6,or(X_349,not(cin)))) ),[0],$fot(and(t6,or(not(cin),X_349)))]]) ).
cnf(refute_0_9310,plain,
( and(t6,or(not(cin),xor(t1,xor(X_349,t1)))) != and(t6,or(X_349,not(cin)))
| and(t6,or(not(cin),X_349)) = and(t6,or(X_349,not(cin))) ),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(t1,xor(X_349,t1)))),and(t6,or(not(cin),X_349))) )],[refute_0_9308,refute_0_9309]) ).
cnf(refute_0_9311,plain,
and(t6,or(not(cin),X_349)) = and(t6,or(X_349,not(cin))),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(t1,xor(X_349,t1)))),and(t6,or(X_349,not(cin)))) )],[refute_0_9290,refute_0_9310]) ).
cnf(refute_0_9312,plain,
( and(t6,or(not(cin),X_349)) != and(t6,or(X_349,not(cin)))
| and(t6,or(X_349,not(cin))) = and(t6,or(not(cin),X_349)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t6,or(not(cin),X_349)))),bind(Y0,$fot(and(t6,or(X_349,not(cin)))))]]) ).
cnf(refute_0_9313,plain,
and(t6,or(X_349,not(cin))) = and(t6,or(not(cin),X_349)),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),X_349)),and(t6,or(X_349,not(cin)))) )],[refute_0_9311,refute_0_9312]) ).
cnf(refute_0_9314,plain,
and(t6,or(xor(cin,xor(X_351,cin)),not(cin))) = and(t6,or(not(cin),xor(cin,xor(X_351,cin)))),
inference(subst,[],[refute_0_9313:[bind(X_349,$fot(xor(cin,xor(X_351,cin))))]]) ).
cnf(refute_0_9315,plain,
( and(t6,or(xor(cin,xor(X_351,cin)),not(cin))) != and(t6,or(not(cin),xor(cin,xor(X_351,cin))))
| and(t6,or(xor(cin,xor(X_351,cin)),not(cin))) != xor(t6,and(cin,not(X_351)))
| and(t6,or(not(cin),xor(cin,xor(X_351,cin)))) = xor(t6,and(cin,not(X_351))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(xor(cin,xor(X_351,cin)),not(cin))),xor(t6,and(cin,not(X_351)))) ),[0],$fot(and(t6,or(not(cin),xor(cin,xor(X_351,cin)))))]]) ).
cnf(refute_0_9316,plain,
( and(t6,or(xor(cin,xor(X_351,cin)),not(cin))) != xor(t6,and(cin,not(X_351)))
| and(t6,or(not(cin),xor(cin,xor(X_351,cin)))) = xor(t6,and(cin,not(X_351))) ),
inference(resolve,[$cnf( $equal(and(t6,or(xor(cin,xor(X_351,cin)),not(cin))),and(t6,or(not(cin),xor(cin,xor(X_351,cin))))) )],[refute_0_9314,refute_0_9315]) ).
cnf(refute_0_9317,plain,
xor(t6,and(cin,not(X_351))) = and(t6,or(X_351,not(cin))),
inference(subst,[],[refute_0_7535:[bind(X,$fot(X_351))]]) ).
cnf(refute_0_9318,plain,
( and(t6,or(not(cin),xor(cin,xor(X_351,cin)))) != xor(t6,and(cin,not(X_351)))
| xor(t6,and(cin,not(X_351))) != and(t6,or(X_351,not(cin)))
| and(t6,or(not(cin),xor(cin,xor(X_351,cin)))) = and(t6,or(X_351,not(cin))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,or(not(cin),xor(cin,xor(X_351,cin)))),and(t6,or(X_351,not(cin)))) ),[0],$fot(xor(t6,and(cin,not(X_351))))]]) ).
cnf(refute_0_9319,plain,
( and(t6,or(not(cin),xor(cin,xor(X_351,cin)))) != xor(t6,and(cin,not(X_351)))
| and(t6,or(not(cin),xor(cin,xor(X_351,cin)))) = and(t6,or(X_351,not(cin))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,not(X_351))),and(t6,or(X_351,not(cin)))) )],[refute_0_9317,refute_0_9318]) ).
cnf(refute_0_9320,plain,
( and(t6,or(xor(cin,xor(X_351,cin)),not(cin))) != xor(t6,and(cin,not(X_351)))
| and(t6,or(not(cin),xor(cin,xor(X_351,cin)))) = and(t6,or(X_351,not(cin))) ),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(cin,xor(X_351,cin)))),xor(t6,and(cin,not(X_351)))) )],[refute_0_9316,refute_0_9319]) ).
cnf(refute_0_9321,plain,
and(t6,or(not(cin),xor(cin,xor(X_351,cin)))) = and(t6,or(X_351,not(cin))),
inference(resolve,[$cnf( $equal(and(t6,or(xor(cin,xor(X_351,cin)),not(cin))),xor(t6,and(cin,not(X_351)))) )],[refute_0_8923,refute_0_9320]) ).
cnf(refute_0_9322,plain,
not(not(xor(cin,xor(X_351,cin)))) = xor(cin,xor(X_351,cin)),
inference(subst,[],[not_involution:[bind(X,$fot(xor(cin,xor(X_351,cin))))]]) ).
cnf(refute_0_9323,plain,
( not(not(xor(cin,xor(X_351,cin)))) != xor(cin,xor(X_351,cin))
| not(xor(cin,xor(X_351,cin))) != not(X_351)
| not(not(X_351)) = xor(cin,xor(X_351,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(xor(cin,xor(X_351,cin)))),xor(cin,xor(X_351,cin))) ),[0,0],$fot(not(X_351))]]) ).
cnf(refute_0_9324,plain,
( not(not(xor(cin,xor(X_351,cin)))) != xor(cin,xor(X_351,cin))
| not(not(X_351)) = xor(cin,xor(X_351,cin)) ),
inference(resolve,[$cnf( $equal(not(xor(cin,xor(X_351,cin))),not(X_351)) )],[refute_0_8920,refute_0_9323]) ).
cnf(refute_0_9325,plain,
not(not(X_351)) = xor(cin,xor(X_351,cin)),
inference(resolve,[$cnf( $equal(not(not(xor(cin,xor(X_351,cin)))),xor(cin,xor(X_351,cin))) )],[refute_0_9322,refute_0_9324]) ).
cnf(refute_0_9326,plain,
not(not(X_351)) = X_351,
inference(subst,[],[not_involution:[bind(X,$fot(X_351))]]) ).
cnf(refute_0_9327,plain,
( not(not(X_351)) != X_351
| not(not(X_351)) != xor(cin,xor(X_351,cin))
| X_351 = xor(cin,xor(X_351,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(X_351)),xor(cin,xor(X_351,cin))) ),[0],$fot(X_351)]]) ).
cnf(refute_0_9328,plain,
( not(not(X_351)) != xor(cin,xor(X_351,cin))
| X_351 = xor(cin,xor(X_351,cin)) ),
inference(resolve,[$cnf( $equal(not(not(X_351)),X_351) )],[refute_0_9326,refute_0_9327]) ).
cnf(refute_0_9329,plain,
X_351 = xor(cin,xor(X_351,cin)),
inference(resolve,[$cnf( $equal(not(not(X_351)),xor(cin,xor(X_351,cin))) )],[refute_0_9325,refute_0_9328]) ).
cnf(refute_0_9330,plain,
( X_351 != xor(cin,xor(X_351,cin))
| xor(cin,xor(X_351,cin)) = X_351 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_351)),bind(Y0,$fot(xor(cin,xor(X_351,cin))))]]) ).
cnf(refute_0_9331,plain,
xor(cin,xor(X_351,cin)) = X_351,
inference(resolve,[$cnf( $equal(X_351,xor(cin,xor(X_351,cin))) )],[refute_0_9329,refute_0_9330]) ).
cnf(refute_0_9332,plain,
or(not(cin),xor(cin,xor(X_351,cin))) = or(not(cin),xor(cin,xor(X_351,cin))),
introduced(tautology,[refl,[$fot(or(not(cin),xor(cin,xor(X_351,cin))))]]) ).
cnf(refute_0_9333,plain,
( or(not(cin),xor(cin,xor(X_351,cin))) != or(not(cin),xor(cin,xor(X_351,cin)))
| xor(cin,xor(X_351,cin)) != X_351
| or(not(cin),xor(cin,xor(X_351,cin))) = or(not(cin),X_351) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(cin),xor(cin,xor(X_351,cin))),or(not(cin),xor(cin,xor(X_351,cin)))) ),[1,1],$fot(X_351)]]) ).
cnf(refute_0_9334,plain,
( xor(cin,xor(X_351,cin)) != X_351
| or(not(cin),xor(cin,xor(X_351,cin))) = or(not(cin),X_351) ),
inference(resolve,[$cnf( $equal(or(not(cin),xor(cin,xor(X_351,cin))),or(not(cin),xor(cin,xor(X_351,cin)))) )],[refute_0_9332,refute_0_9333]) ).
cnf(refute_0_9335,plain,
or(not(cin),xor(cin,xor(X_351,cin))) = or(not(cin),X_351),
inference(resolve,[$cnf( $equal(xor(cin,xor(X_351,cin)),X_351) )],[refute_0_9331,refute_0_9334]) ).
cnf(refute_0_9336,plain,
and(t6,or(not(cin),xor(cin,xor(X_351,cin)))) = and(t6,or(not(cin),xor(cin,xor(X_351,cin)))),
introduced(tautology,[refl,[$fot(and(t6,or(not(cin),xor(cin,xor(X_351,cin)))))]]) ).
cnf(refute_0_9337,plain,
( and(t6,or(not(cin),xor(cin,xor(X_351,cin)))) != and(t6,or(not(cin),xor(cin,xor(X_351,cin))))
| or(not(cin),xor(cin,xor(X_351,cin))) != or(not(cin),X_351)
| and(t6,or(not(cin),xor(cin,xor(X_351,cin)))) = and(t6,or(not(cin),X_351)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(not(cin),xor(cin,xor(X_351,cin)))),and(t6,or(not(cin),xor(cin,xor(X_351,cin))))) ),[1,1],$fot(or(not(cin),X_351))]]) ).
cnf(refute_0_9338,plain,
( or(not(cin),xor(cin,xor(X_351,cin))) != or(not(cin),X_351)
| and(t6,or(not(cin),xor(cin,xor(X_351,cin)))) = and(t6,or(not(cin),X_351)) ),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(cin,xor(X_351,cin)))),and(t6,or(not(cin),xor(cin,xor(X_351,cin))))) )],[refute_0_9336,refute_0_9337]) ).
cnf(refute_0_9339,plain,
and(t6,or(not(cin),xor(cin,xor(X_351,cin)))) = and(t6,or(not(cin),X_351)),
inference(resolve,[$cnf( $equal(or(not(cin),xor(cin,xor(X_351,cin))),or(not(cin),X_351)) )],[refute_0_9335,refute_0_9338]) ).
cnf(refute_0_9340,plain,
( and(t6,or(not(cin),xor(cin,xor(X_351,cin)))) != and(t6,or(X_351,not(cin)))
| and(t6,or(not(cin),xor(cin,xor(X_351,cin)))) != and(t6,or(not(cin),X_351))
| and(t6,or(not(cin),X_351)) = and(t6,or(X_351,not(cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(not(cin),xor(cin,xor(X_351,cin)))),and(t6,or(X_351,not(cin)))) ),[0],$fot(and(t6,or(not(cin),X_351)))]]) ).
cnf(refute_0_9341,plain,
( and(t6,or(not(cin),xor(cin,xor(X_351,cin)))) != and(t6,or(X_351,not(cin)))
| and(t6,or(not(cin),X_351)) = and(t6,or(X_351,not(cin))) ),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(cin,xor(X_351,cin)))),and(t6,or(not(cin),X_351))) )],[refute_0_9339,refute_0_9340]) ).
cnf(refute_0_9342,plain,
and(t6,or(not(cin),X_351)) = and(t6,or(X_351,not(cin))),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(cin,xor(X_351,cin)))),and(t6,or(X_351,not(cin)))) )],[refute_0_9321,refute_0_9341]) ).
cnf(refute_0_9343,plain,
( and(t6,or(not(cin),X_351)) != and(t6,or(X_351,not(cin)))
| and(t6,or(X_351,not(cin))) = and(t6,or(not(cin),X_351)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t6,or(not(cin),X_351)))),bind(Y0,$fot(and(t6,or(X_351,not(cin)))))]]) ).
cnf(refute_0_9344,plain,
and(t6,or(X_351,not(cin))) = and(t6,or(not(cin),X_351)),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),X_351)),and(t6,or(X_351,not(cin)))) )],[refute_0_9342,refute_0_9343]) ).
cnf(refute_0_9345,plain,
and(t6,or(xor(t5,xor(X_358,t5)),not(cin))) = and(t6,or(not(cin),xor(t5,xor(X_358,t5)))),
inference(subst,[],[refute_0_9344:[bind(X_351,$fot(xor(t5,xor(X_358,t5))))]]) ).
cnf(refute_0_9346,plain,
( and(t6,or(xor(t5,xor(X_358,t5)),not(cin))) != and(t6,or(not(cin),xor(t5,xor(X_358,t5))))
| and(t6,or(xor(t5,xor(X_358,t5)),not(cin))) != xor(t6,and(cin,not(X_358)))
| and(t6,or(not(cin),xor(t5,xor(X_358,t5)))) = xor(t6,and(cin,not(X_358))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(xor(t5,xor(X_358,t5)),not(cin))),xor(t6,and(cin,not(X_358)))) ),[0],$fot(and(t6,or(not(cin),xor(t5,xor(X_358,t5)))))]]) ).
cnf(refute_0_9347,plain,
( and(t6,or(xor(t5,xor(X_358,t5)),not(cin))) != xor(t6,and(cin,not(X_358)))
| and(t6,or(not(cin),xor(t5,xor(X_358,t5)))) = xor(t6,and(cin,not(X_358))) ),
inference(resolve,[$cnf( $equal(and(t6,or(xor(t5,xor(X_358,t5)),not(cin))),and(t6,or(not(cin),xor(t5,xor(X_358,t5))))) )],[refute_0_9345,refute_0_9346]) ).
cnf(refute_0_9348,plain,
xor(t6,and(cin,not(X_358))) = and(t6,or(X_358,not(cin))),
inference(subst,[],[refute_0_7535:[bind(X,$fot(X_358))]]) ).
cnf(refute_0_9349,plain,
( and(t6,or(not(cin),xor(t5,xor(X_358,t5)))) != xor(t6,and(cin,not(X_358)))
| xor(t6,and(cin,not(X_358))) != and(t6,or(X_358,not(cin)))
| and(t6,or(not(cin),xor(t5,xor(X_358,t5)))) = and(t6,or(X_358,not(cin))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,or(not(cin),xor(t5,xor(X_358,t5)))),and(t6,or(X_358,not(cin)))) ),[0],$fot(xor(t6,and(cin,not(X_358))))]]) ).
cnf(refute_0_9350,plain,
( and(t6,or(not(cin),xor(t5,xor(X_358,t5)))) != xor(t6,and(cin,not(X_358)))
| and(t6,or(not(cin),xor(t5,xor(X_358,t5)))) = and(t6,or(X_358,not(cin))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,not(X_358))),and(t6,or(X_358,not(cin)))) )],[refute_0_9348,refute_0_9349]) ).
cnf(refute_0_9351,plain,
( and(t6,or(xor(t5,xor(X_358,t5)),not(cin))) != xor(t6,and(cin,not(X_358)))
| and(t6,or(not(cin),xor(t5,xor(X_358,t5)))) = and(t6,or(X_358,not(cin))) ),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(t5,xor(X_358,t5)))),xor(t6,and(cin,not(X_358)))) )],[refute_0_9347,refute_0_9350]) ).
cnf(refute_0_9352,plain,
and(t6,or(not(cin),xor(t5,xor(X_358,t5)))) = and(t6,or(X_358,not(cin))),
inference(resolve,[$cnf( $equal(and(t6,or(xor(t5,xor(X_358,t5)),not(cin))),xor(t6,and(cin,not(X_358)))) )],[refute_0_8874,refute_0_9351]) ).
cnf(refute_0_9353,plain,
not(not(xor(t5,xor(X_358,t5)))) = xor(t5,xor(X_358,t5)),
inference(subst,[],[not_involution:[bind(X,$fot(xor(t5,xor(X_358,t5))))]]) ).
cnf(refute_0_9354,plain,
( not(not(xor(t5,xor(X_358,t5)))) != xor(t5,xor(X_358,t5))
| not(xor(t5,xor(X_358,t5))) != not(X_358)
| not(not(X_358)) = xor(t5,xor(X_358,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(xor(t5,xor(X_358,t5)))),xor(t5,xor(X_358,t5))) ),[0,0],$fot(not(X_358))]]) ).
cnf(refute_0_9355,plain,
( not(not(xor(t5,xor(X_358,t5)))) != xor(t5,xor(X_358,t5))
| not(not(X_358)) = xor(t5,xor(X_358,t5)) ),
inference(resolve,[$cnf( $equal(not(xor(t5,xor(X_358,t5))),not(X_358)) )],[refute_0_8871,refute_0_9354]) ).
cnf(refute_0_9356,plain,
not(not(X_358)) = xor(t5,xor(X_358,t5)),
inference(resolve,[$cnf( $equal(not(not(xor(t5,xor(X_358,t5)))),xor(t5,xor(X_358,t5))) )],[refute_0_9353,refute_0_9355]) ).
cnf(refute_0_9357,plain,
not(not(X_358)) = X_358,
inference(subst,[],[not_involution:[bind(X,$fot(X_358))]]) ).
cnf(refute_0_9358,plain,
( not(not(X_358)) != X_358
| not(not(X_358)) != xor(t5,xor(X_358,t5))
| X_358 = xor(t5,xor(X_358,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(X_358)),xor(t5,xor(X_358,t5))) ),[0],$fot(X_358)]]) ).
cnf(refute_0_9359,plain,
( not(not(X_358)) != xor(t5,xor(X_358,t5))
| X_358 = xor(t5,xor(X_358,t5)) ),
inference(resolve,[$cnf( $equal(not(not(X_358)),X_358) )],[refute_0_9357,refute_0_9358]) ).
cnf(refute_0_9360,plain,
X_358 = xor(t5,xor(X_358,t5)),
inference(resolve,[$cnf( $equal(not(not(X_358)),xor(t5,xor(X_358,t5))) )],[refute_0_9356,refute_0_9359]) ).
cnf(refute_0_9361,plain,
( X_358 != xor(t5,xor(X_358,t5))
| xor(t5,xor(X_358,t5)) = X_358 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_358)),bind(Y0,$fot(xor(t5,xor(X_358,t5))))]]) ).
cnf(refute_0_9362,plain,
xor(t5,xor(X_358,t5)) = X_358,
inference(resolve,[$cnf( $equal(X_358,xor(t5,xor(X_358,t5))) )],[refute_0_9360,refute_0_9361]) ).
cnf(refute_0_9363,plain,
or(not(cin),xor(t5,xor(X_358,t5))) = or(not(cin),xor(t5,xor(X_358,t5))),
introduced(tautology,[refl,[$fot(or(not(cin),xor(t5,xor(X_358,t5))))]]) ).
cnf(refute_0_9364,plain,
( or(not(cin),xor(t5,xor(X_358,t5))) != or(not(cin),xor(t5,xor(X_358,t5)))
| xor(t5,xor(X_358,t5)) != X_358
| or(not(cin),xor(t5,xor(X_358,t5))) = or(not(cin),X_358) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(cin),xor(t5,xor(X_358,t5))),or(not(cin),xor(t5,xor(X_358,t5)))) ),[1,1],$fot(X_358)]]) ).
cnf(refute_0_9365,plain,
( xor(t5,xor(X_358,t5)) != X_358
| or(not(cin),xor(t5,xor(X_358,t5))) = or(not(cin),X_358) ),
inference(resolve,[$cnf( $equal(or(not(cin),xor(t5,xor(X_358,t5))),or(not(cin),xor(t5,xor(X_358,t5)))) )],[refute_0_9363,refute_0_9364]) ).
cnf(refute_0_9366,plain,
or(not(cin),xor(t5,xor(X_358,t5))) = or(not(cin),X_358),
inference(resolve,[$cnf( $equal(xor(t5,xor(X_358,t5)),X_358) )],[refute_0_9362,refute_0_9365]) ).
cnf(refute_0_9367,plain,
and(t6,or(not(cin),xor(t5,xor(X_358,t5)))) = and(t6,or(not(cin),xor(t5,xor(X_358,t5)))),
introduced(tautology,[refl,[$fot(and(t6,or(not(cin),xor(t5,xor(X_358,t5)))))]]) ).
cnf(refute_0_9368,plain,
( and(t6,or(not(cin),xor(t5,xor(X_358,t5)))) != and(t6,or(not(cin),xor(t5,xor(X_358,t5))))
| or(not(cin),xor(t5,xor(X_358,t5))) != or(not(cin),X_358)
| and(t6,or(not(cin),xor(t5,xor(X_358,t5)))) = and(t6,or(not(cin),X_358)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(not(cin),xor(t5,xor(X_358,t5)))),and(t6,or(not(cin),xor(t5,xor(X_358,t5))))) ),[1,1],$fot(or(not(cin),X_358))]]) ).
cnf(refute_0_9369,plain,
( or(not(cin),xor(t5,xor(X_358,t5))) != or(not(cin),X_358)
| and(t6,or(not(cin),xor(t5,xor(X_358,t5)))) = and(t6,or(not(cin),X_358)) ),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(t5,xor(X_358,t5)))),and(t6,or(not(cin),xor(t5,xor(X_358,t5))))) )],[refute_0_9367,refute_0_9368]) ).
cnf(refute_0_9370,plain,
and(t6,or(not(cin),xor(t5,xor(X_358,t5)))) = and(t6,or(not(cin),X_358)),
inference(resolve,[$cnf( $equal(or(not(cin),xor(t5,xor(X_358,t5))),or(not(cin),X_358)) )],[refute_0_9366,refute_0_9369]) ).
cnf(refute_0_9371,plain,
( and(t6,or(not(cin),xor(t5,xor(X_358,t5)))) != and(t6,or(X_358,not(cin)))
| and(t6,or(not(cin),xor(t5,xor(X_358,t5)))) != and(t6,or(not(cin),X_358))
| and(t6,or(not(cin),X_358)) = and(t6,or(X_358,not(cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(not(cin),xor(t5,xor(X_358,t5)))),and(t6,or(X_358,not(cin)))) ),[0],$fot(and(t6,or(not(cin),X_358)))]]) ).
cnf(refute_0_9372,plain,
( and(t6,or(not(cin),xor(t5,xor(X_358,t5)))) != and(t6,or(X_358,not(cin)))
| and(t6,or(not(cin),X_358)) = and(t6,or(X_358,not(cin))) ),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(t5,xor(X_358,t5)))),and(t6,or(not(cin),X_358))) )],[refute_0_9370,refute_0_9371]) ).
cnf(refute_0_9373,plain,
and(t6,or(not(cin),X_358)) = and(t6,or(X_358,not(cin))),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(t5,xor(X_358,t5)))),and(t6,or(X_358,not(cin)))) )],[refute_0_9352,refute_0_9372]) ).
cnf(refute_0_9374,plain,
( and(t6,or(not(cin),X_358)) != and(t6,or(X_358,not(cin)))
| and(t6,or(X_358,not(cin))) = and(t6,or(not(cin),X_358)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t6,or(not(cin),X_358)))),bind(Y0,$fot(and(t6,or(X_358,not(cin)))))]]) ).
cnf(refute_0_9375,plain,
and(t6,or(X_358,not(cin))) = and(t6,or(not(cin),X_358)),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),X_358)),and(t6,or(X_358,not(cin)))) )],[refute_0_9373,refute_0_9374]) ).
cnf(refute_0_9376,plain,
and(t6,or(xor(b,xor(X_386,b)),not(cin))) = and(t6,or(not(cin),xor(b,xor(X_386,b)))),
inference(subst,[],[refute_0_9375:[bind(X_358,$fot(xor(b,xor(X_386,b))))]]) ).
cnf(refute_0_9377,plain,
( and(t6,or(xor(b,xor(X_386,b)),not(cin))) != and(t6,or(not(cin),xor(b,xor(X_386,b))))
| and(t6,or(xor(b,xor(X_386,b)),not(cin))) != xor(t6,and(cin,not(X_386)))
| and(t6,or(not(cin),xor(b,xor(X_386,b)))) = xor(t6,and(cin,not(X_386))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(xor(b,xor(X_386,b)),not(cin))),xor(t6,and(cin,not(X_386)))) ),[0],$fot(and(t6,or(not(cin),xor(b,xor(X_386,b)))))]]) ).
cnf(refute_0_9378,plain,
( and(t6,or(xor(b,xor(X_386,b)),not(cin))) != xor(t6,and(cin,not(X_386)))
| and(t6,or(not(cin),xor(b,xor(X_386,b)))) = xor(t6,and(cin,not(X_386))) ),
inference(resolve,[$cnf( $equal(and(t6,or(xor(b,xor(X_386,b)),not(cin))),and(t6,or(not(cin),xor(b,xor(X_386,b))))) )],[refute_0_9376,refute_0_9377]) ).
cnf(refute_0_9379,plain,
xor(t6,and(cin,not(X_386))) = and(t6,or(X_386,not(cin))),
inference(subst,[],[refute_0_7535:[bind(X,$fot(X_386))]]) ).
cnf(refute_0_9380,plain,
( and(t6,or(not(cin),xor(b,xor(X_386,b)))) != xor(t6,and(cin,not(X_386)))
| xor(t6,and(cin,not(X_386))) != and(t6,or(X_386,not(cin)))
| and(t6,or(not(cin),xor(b,xor(X_386,b)))) = and(t6,or(X_386,not(cin))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,or(not(cin),xor(b,xor(X_386,b)))),and(t6,or(X_386,not(cin)))) ),[0],$fot(xor(t6,and(cin,not(X_386))))]]) ).
cnf(refute_0_9381,plain,
( and(t6,or(not(cin),xor(b,xor(X_386,b)))) != xor(t6,and(cin,not(X_386)))
| and(t6,or(not(cin),xor(b,xor(X_386,b)))) = and(t6,or(X_386,not(cin))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,not(X_386))),and(t6,or(X_386,not(cin)))) )],[refute_0_9379,refute_0_9380]) ).
cnf(refute_0_9382,plain,
( and(t6,or(xor(b,xor(X_386,b)),not(cin))) != xor(t6,and(cin,not(X_386)))
| and(t6,or(not(cin),xor(b,xor(X_386,b)))) = and(t6,or(X_386,not(cin))) ),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(b,xor(X_386,b)))),xor(t6,and(cin,not(X_386)))) )],[refute_0_9378,refute_0_9381]) ).
cnf(refute_0_9383,plain,
and(t6,or(not(cin),xor(b,xor(X_386,b)))) = and(t6,or(X_386,not(cin))),
inference(resolve,[$cnf( $equal(and(t6,or(xor(b,xor(X_386,b)),not(cin))),xor(t6,and(cin,not(X_386)))) )],[refute_0_8869,refute_0_9382]) ).
cnf(refute_0_9384,plain,
not(not(xor(b,xor(X_386,b)))) = xor(b,xor(X_386,b)),
inference(subst,[],[not_involution:[bind(X,$fot(xor(b,xor(X_386,b))))]]) ).
cnf(refute_0_9385,plain,
( not(not(xor(b,xor(X_386,b)))) != xor(b,xor(X_386,b))
| not(xor(b,xor(X_386,b))) != not(X_386)
| not(not(X_386)) = xor(b,xor(X_386,b)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(xor(b,xor(X_386,b)))),xor(b,xor(X_386,b))) ),[0,0],$fot(not(X_386))]]) ).
cnf(refute_0_9386,plain,
( not(not(xor(b,xor(X_386,b)))) != xor(b,xor(X_386,b))
| not(not(X_386)) = xor(b,xor(X_386,b)) ),
inference(resolve,[$cnf( $equal(not(xor(b,xor(X_386,b))),not(X_386)) )],[refute_0_8866,refute_0_9385]) ).
cnf(refute_0_9387,plain,
not(not(X_386)) = xor(b,xor(X_386,b)),
inference(resolve,[$cnf( $equal(not(not(xor(b,xor(X_386,b)))),xor(b,xor(X_386,b))) )],[refute_0_9384,refute_0_9386]) ).
cnf(refute_0_9388,plain,
not(not(X_386)) = X_386,
inference(subst,[],[not_involution:[bind(X,$fot(X_386))]]) ).
cnf(refute_0_9389,plain,
( not(not(X_386)) != X_386
| not(not(X_386)) != xor(b,xor(X_386,b))
| X_386 = xor(b,xor(X_386,b)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(X_386)),xor(b,xor(X_386,b))) ),[0],$fot(X_386)]]) ).
cnf(refute_0_9390,plain,
( not(not(X_386)) != xor(b,xor(X_386,b))
| X_386 = xor(b,xor(X_386,b)) ),
inference(resolve,[$cnf( $equal(not(not(X_386)),X_386) )],[refute_0_9388,refute_0_9389]) ).
cnf(refute_0_9391,plain,
X_386 = xor(b,xor(X_386,b)),
inference(resolve,[$cnf( $equal(not(not(X_386)),xor(b,xor(X_386,b))) )],[refute_0_9387,refute_0_9390]) ).
cnf(refute_0_9392,plain,
( X_386 != xor(b,xor(X_386,b))
| xor(b,xor(X_386,b)) = X_386 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_386)),bind(Y0,$fot(xor(b,xor(X_386,b))))]]) ).
cnf(refute_0_9393,plain,
xor(b,xor(X_386,b)) = X_386,
inference(resolve,[$cnf( $equal(X_386,xor(b,xor(X_386,b))) )],[refute_0_9391,refute_0_9392]) ).
cnf(refute_0_9394,plain,
or(not(cin),xor(b,xor(X_386,b))) = or(not(cin),xor(b,xor(X_386,b))),
introduced(tautology,[refl,[$fot(or(not(cin),xor(b,xor(X_386,b))))]]) ).
cnf(refute_0_9395,plain,
( or(not(cin),xor(b,xor(X_386,b))) != or(not(cin),xor(b,xor(X_386,b)))
| xor(b,xor(X_386,b)) != X_386
| or(not(cin),xor(b,xor(X_386,b))) = or(not(cin),X_386) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(cin),xor(b,xor(X_386,b))),or(not(cin),xor(b,xor(X_386,b)))) ),[1,1],$fot(X_386)]]) ).
cnf(refute_0_9396,plain,
( xor(b,xor(X_386,b)) != X_386
| or(not(cin),xor(b,xor(X_386,b))) = or(not(cin),X_386) ),
inference(resolve,[$cnf( $equal(or(not(cin),xor(b,xor(X_386,b))),or(not(cin),xor(b,xor(X_386,b)))) )],[refute_0_9394,refute_0_9395]) ).
cnf(refute_0_9397,plain,
or(not(cin),xor(b,xor(X_386,b))) = or(not(cin),X_386),
inference(resolve,[$cnf( $equal(xor(b,xor(X_386,b)),X_386) )],[refute_0_9393,refute_0_9396]) ).
cnf(refute_0_9398,plain,
and(t6,or(not(cin),xor(b,xor(X_386,b)))) = and(t6,or(not(cin),xor(b,xor(X_386,b)))),
introduced(tautology,[refl,[$fot(and(t6,or(not(cin),xor(b,xor(X_386,b)))))]]) ).
cnf(refute_0_9399,plain,
( and(t6,or(not(cin),xor(b,xor(X_386,b)))) != and(t6,or(not(cin),xor(b,xor(X_386,b))))
| or(not(cin),xor(b,xor(X_386,b))) != or(not(cin),X_386)
| and(t6,or(not(cin),xor(b,xor(X_386,b)))) = and(t6,or(not(cin),X_386)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(not(cin),xor(b,xor(X_386,b)))),and(t6,or(not(cin),xor(b,xor(X_386,b))))) ),[1,1],$fot(or(not(cin),X_386))]]) ).
cnf(refute_0_9400,plain,
( or(not(cin),xor(b,xor(X_386,b))) != or(not(cin),X_386)
| and(t6,or(not(cin),xor(b,xor(X_386,b)))) = and(t6,or(not(cin),X_386)) ),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(b,xor(X_386,b)))),and(t6,or(not(cin),xor(b,xor(X_386,b))))) )],[refute_0_9398,refute_0_9399]) ).
cnf(refute_0_9401,plain,
and(t6,or(not(cin),xor(b,xor(X_386,b)))) = and(t6,or(not(cin),X_386)),
inference(resolve,[$cnf( $equal(or(not(cin),xor(b,xor(X_386,b))),or(not(cin),X_386)) )],[refute_0_9397,refute_0_9400]) ).
cnf(refute_0_9402,plain,
( and(t6,or(not(cin),xor(b,xor(X_386,b)))) != and(t6,or(X_386,not(cin)))
| and(t6,or(not(cin),xor(b,xor(X_386,b)))) != and(t6,or(not(cin),X_386))
| and(t6,or(not(cin),X_386)) = and(t6,or(X_386,not(cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(not(cin),xor(b,xor(X_386,b)))),and(t6,or(X_386,not(cin)))) ),[0],$fot(and(t6,or(not(cin),X_386)))]]) ).
cnf(refute_0_9403,plain,
( and(t6,or(not(cin),xor(b,xor(X_386,b)))) != and(t6,or(X_386,not(cin)))
| and(t6,or(not(cin),X_386)) = and(t6,or(X_386,not(cin))) ),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(b,xor(X_386,b)))),and(t6,or(not(cin),X_386))) )],[refute_0_9401,refute_0_9402]) ).
cnf(refute_0_9404,plain,
and(t6,or(not(cin),X_386)) = and(t6,or(X_386,not(cin))),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(b,xor(X_386,b)))),and(t6,or(X_386,not(cin)))) )],[refute_0_9383,refute_0_9403]) ).
cnf(refute_0_9405,plain,
( and(t6,or(not(cin),X_386)) != and(t6,or(X_386,not(cin)))
| and(t6,or(X_386,not(cin))) = and(t6,or(not(cin),X_386)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t6,or(not(cin),X_386)))),bind(Y0,$fot(and(t6,or(X_386,not(cin)))))]]) ).
cnf(refute_0_9406,plain,
and(t6,or(X_386,not(cin))) = and(t6,or(not(cin),X_386)),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),X_386)),and(t6,or(X_386,not(cin)))) )],[refute_0_9404,refute_0_9405]) ).
cnf(refute_0_9407,plain,
and(t6,or(xor(t4,xor(X_388,t4)),not(cin))) = and(t6,or(not(cin),xor(t4,xor(X_388,t4)))),
inference(subst,[],[refute_0_9406:[bind(X_386,$fot(xor(t4,xor(X_388,t4))))]]) ).
cnf(refute_0_9408,plain,
( and(t6,or(xor(t4,xor(X_388,t4)),not(cin))) != and(t6,or(not(cin),xor(t4,xor(X_388,t4))))
| and(t6,or(xor(t4,xor(X_388,t4)),not(cin))) != xor(t6,and(cin,not(X_388)))
| and(t6,or(not(cin),xor(t4,xor(X_388,t4)))) = xor(t6,and(cin,not(X_388))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(xor(t4,xor(X_388,t4)),not(cin))),xor(t6,and(cin,not(X_388)))) ),[0],$fot(and(t6,or(not(cin),xor(t4,xor(X_388,t4)))))]]) ).
cnf(refute_0_9409,plain,
( and(t6,or(xor(t4,xor(X_388,t4)),not(cin))) != xor(t6,and(cin,not(X_388)))
| and(t6,or(not(cin),xor(t4,xor(X_388,t4)))) = xor(t6,and(cin,not(X_388))) ),
inference(resolve,[$cnf( $equal(and(t6,or(xor(t4,xor(X_388,t4)),not(cin))),and(t6,or(not(cin),xor(t4,xor(X_388,t4))))) )],[refute_0_9407,refute_0_9408]) ).
cnf(refute_0_9410,plain,
xor(t6,and(cin,not(X_388))) = and(t6,or(X_388,not(cin))),
inference(subst,[],[refute_0_7535:[bind(X,$fot(X_388))]]) ).
cnf(refute_0_9411,plain,
( and(t6,or(not(cin),xor(t4,xor(X_388,t4)))) != xor(t6,and(cin,not(X_388)))
| xor(t6,and(cin,not(X_388))) != and(t6,or(X_388,not(cin)))
| and(t6,or(not(cin),xor(t4,xor(X_388,t4)))) = and(t6,or(X_388,not(cin))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,or(not(cin),xor(t4,xor(X_388,t4)))),and(t6,or(X_388,not(cin)))) ),[0],$fot(xor(t6,and(cin,not(X_388))))]]) ).
cnf(refute_0_9412,plain,
( and(t6,or(not(cin),xor(t4,xor(X_388,t4)))) != xor(t6,and(cin,not(X_388)))
| and(t6,or(not(cin),xor(t4,xor(X_388,t4)))) = and(t6,or(X_388,not(cin))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,not(X_388))),and(t6,or(X_388,not(cin)))) )],[refute_0_9410,refute_0_9411]) ).
cnf(refute_0_9413,plain,
( and(t6,or(xor(t4,xor(X_388,t4)),not(cin))) != xor(t6,and(cin,not(X_388)))
| and(t6,or(not(cin),xor(t4,xor(X_388,t4)))) = and(t6,or(X_388,not(cin))) ),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(t4,xor(X_388,t4)))),xor(t6,and(cin,not(X_388)))) )],[refute_0_9409,refute_0_9412]) ).
cnf(refute_0_9414,plain,
and(t6,or(not(cin),xor(t4,xor(X_388,t4)))) = and(t6,or(X_388,not(cin))),
inference(resolve,[$cnf( $equal(and(t6,or(xor(t4,xor(X_388,t4)),not(cin))),xor(t6,and(cin,not(X_388)))) )],[refute_0_8814,refute_0_9413]) ).
cnf(refute_0_9415,plain,
not(not(xor(t4,xor(X_388,t4)))) = xor(t4,xor(X_388,t4)),
inference(subst,[],[not_involution:[bind(X,$fot(xor(t4,xor(X_388,t4))))]]) ).
cnf(refute_0_9416,plain,
( not(not(xor(t4,xor(X_388,t4)))) != xor(t4,xor(X_388,t4))
| not(xor(t4,xor(X_388,t4))) != not(X_388)
| not(not(X_388)) = xor(t4,xor(X_388,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(xor(t4,xor(X_388,t4)))),xor(t4,xor(X_388,t4))) ),[0,0],$fot(not(X_388))]]) ).
cnf(refute_0_9417,plain,
( not(not(xor(t4,xor(X_388,t4)))) != xor(t4,xor(X_388,t4))
| not(not(X_388)) = xor(t4,xor(X_388,t4)) ),
inference(resolve,[$cnf( $equal(not(xor(t4,xor(X_388,t4))),not(X_388)) )],[refute_0_8811,refute_0_9416]) ).
cnf(refute_0_9418,plain,
not(not(X_388)) = xor(t4,xor(X_388,t4)),
inference(resolve,[$cnf( $equal(not(not(xor(t4,xor(X_388,t4)))),xor(t4,xor(X_388,t4))) )],[refute_0_9415,refute_0_9417]) ).
cnf(refute_0_9419,plain,
not(not(X_388)) = X_388,
inference(subst,[],[not_involution:[bind(X,$fot(X_388))]]) ).
cnf(refute_0_9420,plain,
( not(not(X_388)) != X_388
| not(not(X_388)) != xor(t4,xor(X_388,t4))
| X_388 = xor(t4,xor(X_388,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(X_388)),xor(t4,xor(X_388,t4))) ),[0],$fot(X_388)]]) ).
cnf(refute_0_9421,plain,
( not(not(X_388)) != xor(t4,xor(X_388,t4))
| X_388 = xor(t4,xor(X_388,t4)) ),
inference(resolve,[$cnf( $equal(not(not(X_388)),X_388) )],[refute_0_9419,refute_0_9420]) ).
cnf(refute_0_9422,plain,
X_388 = xor(t4,xor(X_388,t4)),
inference(resolve,[$cnf( $equal(not(not(X_388)),xor(t4,xor(X_388,t4))) )],[refute_0_9418,refute_0_9421]) ).
cnf(refute_0_9423,plain,
( X_388 != xor(t4,xor(X_388,t4))
| xor(t4,xor(X_388,t4)) = X_388 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_388)),bind(Y0,$fot(xor(t4,xor(X_388,t4))))]]) ).
cnf(refute_0_9424,plain,
xor(t4,xor(X_388,t4)) = X_388,
inference(resolve,[$cnf( $equal(X_388,xor(t4,xor(X_388,t4))) )],[refute_0_9422,refute_0_9423]) ).
cnf(refute_0_9425,plain,
or(not(cin),xor(t4,xor(X_388,t4))) = or(not(cin),xor(t4,xor(X_388,t4))),
introduced(tautology,[refl,[$fot(or(not(cin),xor(t4,xor(X_388,t4))))]]) ).
cnf(refute_0_9426,plain,
( or(not(cin),xor(t4,xor(X_388,t4))) != or(not(cin),xor(t4,xor(X_388,t4)))
| xor(t4,xor(X_388,t4)) != X_388
| or(not(cin),xor(t4,xor(X_388,t4))) = or(not(cin),X_388) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(cin),xor(t4,xor(X_388,t4))),or(not(cin),xor(t4,xor(X_388,t4)))) ),[1,1],$fot(X_388)]]) ).
cnf(refute_0_9427,plain,
( xor(t4,xor(X_388,t4)) != X_388
| or(not(cin),xor(t4,xor(X_388,t4))) = or(not(cin),X_388) ),
inference(resolve,[$cnf( $equal(or(not(cin),xor(t4,xor(X_388,t4))),or(not(cin),xor(t4,xor(X_388,t4)))) )],[refute_0_9425,refute_0_9426]) ).
cnf(refute_0_9428,plain,
or(not(cin),xor(t4,xor(X_388,t4))) = or(not(cin),X_388),
inference(resolve,[$cnf( $equal(xor(t4,xor(X_388,t4)),X_388) )],[refute_0_9424,refute_0_9427]) ).
cnf(refute_0_9429,plain,
and(t6,or(not(cin),xor(t4,xor(X_388,t4)))) = and(t6,or(not(cin),xor(t4,xor(X_388,t4)))),
introduced(tautology,[refl,[$fot(and(t6,or(not(cin),xor(t4,xor(X_388,t4)))))]]) ).
cnf(refute_0_9430,plain,
( and(t6,or(not(cin),xor(t4,xor(X_388,t4)))) != and(t6,or(not(cin),xor(t4,xor(X_388,t4))))
| or(not(cin),xor(t4,xor(X_388,t4))) != or(not(cin),X_388)
| and(t6,or(not(cin),xor(t4,xor(X_388,t4)))) = and(t6,or(not(cin),X_388)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(not(cin),xor(t4,xor(X_388,t4)))),and(t6,or(not(cin),xor(t4,xor(X_388,t4))))) ),[1,1],$fot(or(not(cin),X_388))]]) ).
cnf(refute_0_9431,plain,
( or(not(cin),xor(t4,xor(X_388,t4))) != or(not(cin),X_388)
| and(t6,or(not(cin),xor(t4,xor(X_388,t4)))) = and(t6,or(not(cin),X_388)) ),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(t4,xor(X_388,t4)))),and(t6,or(not(cin),xor(t4,xor(X_388,t4))))) )],[refute_0_9429,refute_0_9430]) ).
cnf(refute_0_9432,plain,
and(t6,or(not(cin),xor(t4,xor(X_388,t4)))) = and(t6,or(not(cin),X_388)),
inference(resolve,[$cnf( $equal(or(not(cin),xor(t4,xor(X_388,t4))),or(not(cin),X_388)) )],[refute_0_9428,refute_0_9431]) ).
cnf(refute_0_9433,plain,
( and(t6,or(not(cin),xor(t4,xor(X_388,t4)))) != and(t6,or(X_388,not(cin)))
| and(t6,or(not(cin),xor(t4,xor(X_388,t4)))) != and(t6,or(not(cin),X_388))
| and(t6,or(not(cin),X_388)) = and(t6,or(X_388,not(cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(not(cin),xor(t4,xor(X_388,t4)))),and(t6,or(X_388,not(cin)))) ),[0],$fot(and(t6,or(not(cin),X_388)))]]) ).
cnf(refute_0_9434,plain,
( and(t6,or(not(cin),xor(t4,xor(X_388,t4)))) != and(t6,or(X_388,not(cin)))
| and(t6,or(not(cin),X_388)) = and(t6,or(X_388,not(cin))) ),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(t4,xor(X_388,t4)))),and(t6,or(not(cin),X_388))) )],[refute_0_9432,refute_0_9433]) ).
cnf(refute_0_9435,plain,
and(t6,or(not(cin),X_388)) = and(t6,or(X_388,not(cin))),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(t4,xor(X_388,t4)))),and(t6,or(X_388,not(cin)))) )],[refute_0_9414,refute_0_9434]) ).
cnf(refute_0_9436,plain,
( and(t6,or(not(cin),X_388)) != and(t6,or(X_388,not(cin)))
| and(t6,or(X_388,not(cin))) = and(t6,or(not(cin),X_388)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t6,or(not(cin),X_388)))),bind(Y0,$fot(and(t6,or(X_388,not(cin)))))]]) ).
cnf(refute_0_9437,plain,
and(t6,or(X_388,not(cin))) = and(t6,or(not(cin),X_388)),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),X_388)),and(t6,or(X_388,not(cin)))) )],[refute_0_9435,refute_0_9436]) ).
cnf(refute_0_9438,plain,
and(t6,or(or(t4,xor(t7,or(carry,t7))),not(cin))) = and(t6,or(not(cin),or(t4,xor(t7,or(carry,t7))))),
inference(subst,[],[refute_0_9437:[bind(X_388,$fot(or(t4,xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_9439,plain,
( and(t6,or(not(cin),or(t4,xor(t7,or(carry,t7))))) != and(t6,or(carry,t7))
| and(t6,or(or(t4,xor(t7,or(carry,t7))),not(cin))) != and(t6,or(not(cin),or(t4,xor(t7,or(carry,t7)))))
| and(t6,or(or(t4,xor(t7,or(carry,t7))),not(cin))) = and(t6,or(carry,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t6,or(or(t4,xor(t7,or(carry,t7))),not(cin))))),bind(Y0,$fot(and(t6,or(not(cin),or(t4,xor(t7,or(carry,t7))))))),bind(Z0,$fot(and(t6,or(carry,t7))))]]) ).
cnf(refute_0_9440,plain,
( and(t6,or(not(cin),or(t4,xor(t7,or(carry,t7))))) != and(t6,or(carry,t7))
| and(t6,or(or(t4,xor(t7,or(carry,t7))),not(cin))) = and(t6,or(carry,t7)) ),
inference(resolve,[$cnf( $equal(and(t6,or(or(t4,xor(t7,or(carry,t7))),not(cin))),and(t6,or(not(cin),or(t4,xor(t7,or(carry,t7)))))) )],[refute_0_9438,refute_0_9439]) ).
cnf(refute_0_9441,plain,
and(t6,or(or(t4,xor(t7,or(carry,t7))),not(cin))) = and(t6,or(carry,t7)),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),or(t4,xor(t7,or(carry,t7))))),and(t6,or(carry,t7))) )],[refute_0_8759,refute_0_9440]) ).
cnf(refute_0_9442,plain,
( and(t6,or(or(t4,xor(t7,or(carry,t7))),not(cin))) != and(t6,or(carry,t7))
| and(t6,or(or(t4,xor(t7,or(carry,t7))),not(cin))) != xor(t6,and(cin,and(t5,xor(sum,or(carry,t7)))))
| and(t6,or(carry,t7)) = xor(t6,and(cin,and(t5,xor(sum,or(carry,t7))))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(or(t4,xor(t7,or(carry,t7))),not(cin))),xor(t6,and(cin,and(t5,xor(sum,or(carry,t7)))))) ),[0],$fot(and(t6,or(carry,t7)))]]) ).
cnf(refute_0_9443,plain,
( and(t6,or(or(t4,xor(t7,or(carry,t7))),not(cin))) != xor(t6,and(cin,and(t5,xor(sum,or(carry,t7)))))
| and(t6,or(carry,t7)) = xor(t6,and(cin,and(t5,xor(sum,or(carry,t7))))) ),
inference(resolve,[$cnf( $equal(and(t6,or(or(t4,xor(t7,or(carry,t7))),not(cin))),and(t6,or(carry,t7))) )],[refute_0_9441,refute_0_9442]) ).
cnf(refute_0_9444,plain,
and(cin,and(t5,xor(sum,or(carry,t7)))) = and(not(t7),xor(sum,or(carry,t7))),
inference(subst,[],[refute_0_8654:[bind(X_222,$fot(xor(sum,or(carry,t7))))]]) ).
cnf(refute_0_9445,plain,
xor(t6,and(cin,and(t5,xor(sum,or(carry,t7))))) = xor(t6,and(cin,and(t5,xor(sum,or(carry,t7))))),
introduced(tautology,[refl,[$fot(xor(t6,and(cin,and(t5,xor(sum,or(carry,t7))))))]]) ).
cnf(refute_0_9446,plain,
( and(cin,and(t5,xor(sum,or(carry,t7)))) != and(not(t7),xor(sum,or(carry,t7)))
| xor(t6,and(cin,and(t5,xor(sum,or(carry,t7))))) != xor(t6,and(cin,and(t5,xor(sum,or(carry,t7)))))
| xor(t6,and(cin,and(t5,xor(sum,or(carry,t7))))) = xor(t6,and(not(t7),xor(sum,or(carry,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,and(cin,and(t5,xor(sum,or(carry,t7))))),xor(t6,and(cin,and(t5,xor(sum,or(carry,t7)))))) ),[1,1],$fot(and(not(t7),xor(sum,or(carry,t7))))]]) ).
cnf(refute_0_9447,plain,
( and(cin,and(t5,xor(sum,or(carry,t7)))) != and(not(t7),xor(sum,or(carry,t7)))
| xor(t6,and(cin,and(t5,xor(sum,or(carry,t7))))) = xor(t6,and(not(t7),xor(sum,or(carry,t7)))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,and(t5,xor(sum,or(carry,t7))))),xor(t6,and(cin,and(t5,xor(sum,or(carry,t7)))))) )],[refute_0_9445,refute_0_9446]) ).
cnf(refute_0_9448,plain,
xor(t6,and(cin,and(t5,xor(sum,or(carry,t7))))) = xor(t6,and(not(t7),xor(sum,or(carry,t7)))),
inference(resolve,[$cnf( $equal(and(cin,and(t5,xor(sum,or(carry,t7)))),and(not(t7),xor(sum,or(carry,t7)))) )],[refute_0_9444,refute_0_9447]) ).
cnf(refute_0_9449,plain,
( and(t6,or(carry,t7)) != xor(t6,and(cin,and(t5,xor(sum,or(carry,t7)))))
| xor(t6,and(cin,and(t5,xor(sum,or(carry,t7))))) != xor(t6,and(not(t7),xor(sum,or(carry,t7))))
| and(t6,or(carry,t7)) = xor(t6,and(not(t7),xor(sum,or(carry,t7)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,or(carry,t7)),xor(t6,and(not(t7),xor(sum,or(carry,t7))))) ),[0],$fot(xor(t6,and(cin,and(t5,xor(sum,or(carry,t7))))))]]) ).
cnf(refute_0_9450,plain,
( and(t6,or(carry,t7)) != xor(t6,and(cin,and(t5,xor(sum,or(carry,t7)))))
| and(t6,or(carry,t7)) = xor(t6,and(not(t7),xor(sum,or(carry,t7)))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,and(t5,xor(sum,or(carry,t7))))),xor(t6,and(not(t7),xor(sum,or(carry,t7))))) )],[refute_0_9448,refute_0_9449]) ).
cnf(refute_0_9451,plain,
( and(t6,or(or(t4,xor(t7,or(carry,t7))),not(cin))) != xor(t6,and(cin,and(t5,xor(sum,or(carry,t7)))))
| and(t6,or(carry,t7)) = xor(t6,and(not(t7),xor(sum,or(carry,t7)))) ),
inference(resolve,[$cnf( $equal(and(t6,or(carry,t7)),xor(t6,and(cin,and(t5,xor(sum,or(carry,t7)))))) )],[refute_0_9443,refute_0_9450]) ).
cnf(refute_0_9452,plain,
and(t6,or(carry,t7)) = xor(t6,and(not(t7),xor(sum,or(carry,t7)))),
inference(resolve,[$cnf( $equal(and(t6,or(or(t4,xor(t7,or(carry,t7))),not(cin))),xor(t6,and(cin,and(t5,xor(sum,or(carry,t7)))))) )],[refute_0_8544,refute_0_9451]) ).
cnf(refute_0_9453,plain,
( and(t6,or(carry,t7)) != and(t6,or(a,t7))
| and(t6,or(carry,t7)) != xor(t6,and(not(t7),xor(sum,or(carry,t7))))
| and(t6,or(a,t7)) = xor(t6,and(not(t7),xor(sum,or(carry,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(carry,t7)),xor(t6,and(not(t7),xor(sum,or(carry,t7))))) ),[0],$fot(and(t6,or(a,t7)))]]) ).
cnf(refute_0_9454,plain,
( and(t6,or(carry,t7)) != xor(t6,and(not(t7),xor(sum,or(carry,t7))))
| and(t6,or(a,t7)) = xor(t6,and(not(t7),xor(sum,or(carry,t7)))) ),
inference(resolve,[$cnf( $equal(and(t6,or(carry,t7)),and(t6,or(a,t7))) )],[refute_0_7618,refute_0_9453]) ).
cnf(refute_0_9455,plain,
xor(sum,or(carry,t7)) = xor(sum,or(carry,t7)),
introduced(tautology,[refl,[$fot(xor(sum,or(carry,t7)))]]) ).
cnf(refute_0_9456,plain,
( or(carry,t7) != or(a,t7)
| xor(sum,or(carry,t7)) != xor(sum,or(carry,t7))
| xor(sum,or(carry,t7)) = xor(sum,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,or(carry,t7)),xor(sum,or(carry,t7))) ),[1,1],$fot(or(a,t7))]]) ).
cnf(refute_0_9457,plain,
( or(carry,t7) != or(a,t7)
| xor(sum,or(carry,t7)) = xor(sum,or(a,t7)) ),
inference(resolve,[$cnf( $equal(xor(sum,or(carry,t7)),xor(sum,or(carry,t7))) )],[refute_0_9455,refute_0_9456]) ).
cnf(refute_0_9458,plain,
xor(sum,or(carry,t7)) = xor(sum,or(a,t7)),
inference(resolve,[$cnf( $equal(or(carry,t7),or(a,t7)) )],[refute_0_2743,refute_0_9457]) ).
cnf(refute_0_9459,plain,
and(not(t7),xor(sum,or(carry,t7))) = and(not(t7),xor(sum,or(carry,t7))),
introduced(tautology,[refl,[$fot(and(not(t7),xor(sum,or(carry,t7))))]]) ).
cnf(refute_0_9460,plain,
( and(not(t7),xor(sum,or(carry,t7))) != and(not(t7),xor(sum,or(carry,t7)))
| xor(sum,or(carry,t7)) != xor(sum,or(a,t7))
| and(not(t7),xor(sum,or(carry,t7))) = and(not(t7),xor(sum,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t7),xor(sum,or(carry,t7))),and(not(t7),xor(sum,or(carry,t7)))) ),[1,1],$fot(xor(sum,or(a,t7)))]]) ).
cnf(refute_0_9461,plain,
( xor(sum,or(carry,t7)) != xor(sum,or(a,t7))
| and(not(t7),xor(sum,or(carry,t7))) = and(not(t7),xor(sum,or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(not(t7),xor(sum,or(carry,t7))),and(not(t7),xor(sum,or(carry,t7)))) )],[refute_0_9459,refute_0_9460]) ).
cnf(refute_0_9462,plain,
and(not(t7),xor(sum,or(carry,t7))) = and(not(t7),xor(sum,or(a,t7))),
inference(resolve,[$cnf( $equal(xor(sum,or(carry,t7)),xor(sum,or(a,t7))) )],[refute_0_9458,refute_0_9461]) ).
cnf(refute_0_9463,plain,
xor(t6,and(not(t7),xor(sum,or(carry,t7)))) = xor(t6,and(not(t7),xor(sum,or(carry,t7)))),
introduced(tautology,[refl,[$fot(xor(t6,and(not(t7),xor(sum,or(carry,t7)))))]]) ).
cnf(refute_0_9464,plain,
( and(not(t7),xor(sum,or(carry,t7))) != and(not(t7),xor(sum,or(a,t7)))
| xor(t6,and(not(t7),xor(sum,or(carry,t7)))) != xor(t6,and(not(t7),xor(sum,or(carry,t7))))
| xor(t6,and(not(t7),xor(sum,or(carry,t7)))) = xor(t6,and(not(t7),xor(sum,or(a,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,and(not(t7),xor(sum,or(carry,t7)))),xor(t6,and(not(t7),xor(sum,or(carry,t7))))) ),[1,1],$fot(and(not(t7),xor(sum,or(a,t7))))]]) ).
cnf(refute_0_9465,plain,
( and(not(t7),xor(sum,or(carry,t7))) != and(not(t7),xor(sum,or(a,t7)))
| xor(t6,and(not(t7),xor(sum,or(carry,t7)))) = xor(t6,and(not(t7),xor(sum,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(not(t7),xor(sum,or(carry,t7)))),xor(t6,and(not(t7),xor(sum,or(carry,t7))))) )],[refute_0_9463,refute_0_9464]) ).
cnf(refute_0_9466,plain,
xor(t6,and(not(t7),xor(sum,or(carry,t7)))) = xor(t6,and(not(t7),xor(sum,or(a,t7)))),
inference(resolve,[$cnf( $equal(and(not(t7),xor(sum,or(carry,t7))),and(not(t7),xor(sum,or(a,t7)))) )],[refute_0_9462,refute_0_9465]) ).
cnf(refute_0_9467,plain,
( and(t6,or(a,t7)) != xor(t6,and(not(t7),xor(sum,or(carry,t7))))
| xor(t6,and(not(t7),xor(sum,or(carry,t7)))) != xor(t6,and(not(t7),xor(sum,or(a,t7))))
| and(t6,or(a,t7)) = xor(t6,and(not(t7),xor(sum,or(a,t7)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,or(a,t7)),xor(t6,and(not(t7),xor(sum,or(a,t7))))) ),[0],$fot(xor(t6,and(not(t7),xor(sum,or(carry,t7)))))]]) ).
cnf(refute_0_9468,plain,
( and(t6,or(a,t7)) != xor(t6,and(not(t7),xor(sum,or(carry,t7))))
| and(t6,or(a,t7)) = xor(t6,and(not(t7),xor(sum,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(not(t7),xor(sum,or(carry,t7)))),xor(t6,and(not(t7),xor(sum,or(a,t7))))) )],[refute_0_9466,refute_0_9467]) ).
cnf(refute_0_9469,plain,
( and(t6,or(carry,t7)) != xor(t6,and(not(t7),xor(sum,or(carry,t7))))
| and(t6,or(a,t7)) = xor(t6,and(not(t7),xor(sum,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(and(t6,or(a,t7)),xor(t6,and(not(t7),xor(sum,or(carry,t7))))) )],[refute_0_9454,refute_0_9468]) ).
cnf(refute_0_9470,plain,
and(t6,or(a,t7)) = xor(t6,and(not(t7),xor(sum,or(a,t7)))),
inference(resolve,[$cnf( $equal(and(t6,or(carry,t7)),xor(t6,and(not(t7),xor(sum,or(carry,t7))))) )],[refute_0_9452,refute_0_9469]) ).
cnf(refute_0_9471,plain,
( and(t6,or(carry,t7)) != and(t6,or(a,t7))
| and(t6,or(carry,t7)) != not(xor(t6,or(carry,t7)))
| and(t6,or(a,t7)) = not(xor(t6,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(carry,t7)),not(xor(t6,or(carry,t7)))) ),[0],$fot(and(t6,or(a,t7)))]]) ).
cnf(refute_0_9472,plain,
( and(t6,or(carry,t7)) != not(xor(t6,or(carry,t7)))
| and(t6,or(a,t7)) = not(xor(t6,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(t6,or(carry,t7)),and(t6,or(a,t7))) )],[refute_0_7618,refute_0_9471]) ).
cnf(refute_0_9473,plain,
not(xor(t6,or(carry,t7))) = not(xor(t6,or(carry,t7))),
introduced(tautology,[refl,[$fot(not(xor(t6,or(carry,t7))))]]) ).
cnf(refute_0_9474,plain,
( not(xor(t6,or(carry,t7))) != not(xor(t6,or(carry,t7)))
| xor(t6,or(carry,t7)) != xor(t6,or(a,t7))
| not(xor(t6,or(carry,t7))) = not(xor(t6,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t6,or(carry,t7))),not(xor(t6,or(carry,t7)))) ),[1,0],$fot(xor(t6,or(a,t7)))]]) ).
cnf(refute_0_9475,plain,
( xor(t6,or(carry,t7)) != xor(t6,or(a,t7))
| not(xor(t6,or(carry,t7))) = not(xor(t6,or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(xor(t6,or(carry,t7))),not(xor(t6,or(carry,t7)))) )],[refute_0_9473,refute_0_9474]) ).
cnf(refute_0_9476,plain,
not(xor(t6,or(carry,t7))) = not(xor(t6,or(a,t7))),
inference(resolve,[$cnf( $equal(xor(t6,or(carry,t7)),xor(t6,or(a,t7))) )],[refute_0_7562,refute_0_9475]) ).
cnf(refute_0_9477,plain,
( and(t6,or(a,t7)) != not(xor(t6,or(carry,t7)))
| not(xor(t6,or(carry,t7))) != not(xor(t6,or(a,t7)))
| and(t6,or(a,t7)) = not(xor(t6,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,or(a,t7)),not(xor(t6,or(a,t7)))) ),[0],$fot(not(xor(t6,or(carry,t7))))]]) ).
cnf(refute_0_9478,plain,
( and(t6,or(a,t7)) != not(xor(t6,or(carry,t7)))
| and(t6,or(a,t7)) = not(xor(t6,or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(xor(t6,or(carry,t7))),not(xor(t6,or(a,t7)))) )],[refute_0_9476,refute_0_9477]) ).
cnf(refute_0_9479,plain,
( and(t6,or(carry,t7)) != not(xor(t6,or(carry,t7)))
| and(t6,or(a,t7)) = not(xor(t6,or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(t6,or(a,t7)),not(xor(t6,or(carry,t7)))) )],[refute_0_9472,refute_0_9478]) ).
cnf(refute_0_9480,plain,
and(t6,or(a,t7)) = not(xor(t6,or(a,t7))),
inference(resolve,[$cnf( $equal(and(t6,or(carry,t7)),not(xor(t6,or(carry,t7)))) )],[refute_0_7549,refute_0_9479]) ).
cnf(refute_0_9481,plain,
not(xor(t6,or(a,t7))) = not(xor(t6,or(a,t7))),
introduced(tautology,[refl,[$fot(not(xor(t6,or(a,t7))))]]) ).
cnf(refute_0_9482,plain,
( not(xor(t6,or(a,t7))) != not(xor(t6,or(a,t7)))
| xor(t6,or(a,t7)) != and(sum,t1)
| not(xor(t6,or(a,t7))) = not(and(sum,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t6,or(a,t7))),not(xor(t6,or(a,t7)))) ),[1,0],$fot(and(sum,t1))]]) ).
cnf(refute_0_9483,plain,
( xor(t6,or(a,t7)) != and(sum,t1)
| not(xor(t6,or(a,t7))) = not(and(sum,t1)) ),
inference(resolve,[$cnf( $equal(not(xor(t6,or(a,t7))),not(xor(t6,or(a,t7)))) )],[refute_0_9481,refute_0_9482]) ).
cnf(refute_0_9484,plain,
not(xor(t6,or(a,t7))) = not(and(sum,t1)),
inference(resolve,[$cnf( $equal(xor(t6,or(a,t7)),and(sum,t1)) )],[refute_0_8447,refute_0_9483]) ).
cnf(refute_0_9485,plain,
( and(t6,or(a,t7)) != not(xor(t6,or(a,t7)))
| not(xor(t6,or(a,t7))) != not(and(sum,t1))
| and(t6,or(a,t7)) = not(and(sum,t1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,or(a,t7)),not(and(sum,t1))) ),[0],$fot(not(xor(t6,or(a,t7))))]]) ).
cnf(refute_0_9486,plain,
( and(t6,or(a,t7)) != not(xor(t6,or(a,t7)))
| and(t6,or(a,t7)) = not(and(sum,t1)) ),
inference(resolve,[$cnf( $equal(not(xor(t6,or(a,t7))),not(and(sum,t1))) )],[refute_0_9484,refute_0_9485]) ).
cnf(refute_0_9487,plain,
and(t6,or(a,t7)) = not(and(sum,t1)),
inference(resolve,[$cnf( $equal(and(t6,or(a,t7)),not(xor(t6,or(a,t7)))) )],[refute_0_9480,refute_0_9486]) ).
cnf(refute_0_9488,plain,
( and(t6,or(a,t7)) != not(and(sum,t1))
| and(t6,or(a,t7)) != xor(t6,and(not(t7),xor(sum,or(a,t7))))
| not(and(sum,t1)) = xor(t6,and(not(t7),xor(sum,or(a,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(a,t7)),xor(t6,and(not(t7),xor(sum,or(a,t7))))) ),[0],$fot(not(and(sum,t1)))]]) ).
cnf(refute_0_9489,plain,
( and(t6,or(a,t7)) != xor(t6,and(not(t7),xor(sum,or(a,t7))))
| not(and(sum,t1)) = xor(t6,and(not(t7),xor(sum,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(and(t6,or(a,t7)),not(and(sum,t1))) )],[refute_0_9487,refute_0_9488]) ).
cnf(refute_0_9490,plain,
not(and(sum,t1)) = xor(t6,and(not(t7),xor(sum,or(a,t7)))),
inference(resolve,[$cnf( $equal(and(t6,or(a,t7)),xor(t6,and(not(t7),xor(sum,or(a,t7))))) )],[refute_0_9470,refute_0_9489]) ).
cnf(refute_0_9491,plain,
xor(t6,xor(t7,or(t1,t7))) = xor(sum,or(t1,t7)),
inference(subst,[],[refute_0_6195:[bind(Y,$fot(or(t1,t7)))]]) ).
cnf(refute_0_9492,plain,
and(not(t7),or(t1,t7)) = xor(t7,or(t1,t7)),
inference(subst,[],[refute_0_8703:[bind(X_232,$fot(t1))]]) ).
cnf(refute_0_9493,plain,
and(and(t6,not(t7)),Z) = and(t6,and(not(t7),Z)),
inference(subst,[],[and_associative:[bind(X,$fot(t6)),bind(Y,$fot(not(t7)))]]) ).
cnf(refute_0_9494,plain,
( and(and(t6,not(t7)),Z) != and(t6,and(not(t7),Z))
| and(t6,not(t7)) != not(t7)
| and(not(t7),Z) = and(t6,and(not(t7),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t6,not(t7)),Z),and(t6,and(not(t7),Z))) ),[0,0],$fot(not(t7))]]) ).
cnf(refute_0_9495,plain,
( and(and(t6,not(t7)),Z) != and(t6,and(not(t7),Z))
| and(not(t7),Z) = and(t6,and(not(t7),Z)) ),
inference(resolve,[$cnf( $equal(and(t6,not(t7)),not(t7)) )],[refute_0_8264,refute_0_9494]) ).
cnf(refute_0_9496,plain,
and(not(t7),Z) = and(t6,and(not(t7),Z)),
inference(resolve,[$cnf( $equal(and(and(t6,not(t7)),Z),and(t6,and(not(t7),Z))) )],[refute_0_9493,refute_0_9495]) ).
cnf(refute_0_9497,plain,
( and(not(t7),Z) != and(t6,and(not(t7),Z))
| and(t6,and(not(t7),Z)) = and(not(t7),Z) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t7),Z))),bind(Y0,$fot(and(t6,and(not(t7),Z))))]]) ).
cnf(refute_0_9498,plain,
and(t6,and(not(t7),Z)) = and(not(t7),Z),
inference(resolve,[$cnf( $equal(and(not(t7),Z),and(t6,and(not(t7),Z))) )],[refute_0_9496,refute_0_9497]) ).
cnf(refute_0_9499,plain,
and(t6,and(not(t7),or(t1,t7))) = and(not(t7),or(t1,t7)),
inference(subst,[],[refute_0_9498:[bind(Z,$fot(or(t1,t7)))]]) ).
cnf(refute_0_9500,plain,
( and(not(t7),or(t1,t7)) != xor(t7,or(t1,t7))
| and(t6,and(not(t7),or(t1,t7))) != and(not(t7),or(t1,t7))
| and(t6,and(not(t7),or(t1,t7))) = xor(t7,or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t6,and(not(t7),or(t1,t7))))),bind(Y0,$fot(and(not(t7),or(t1,t7)))),bind(Z0,$fot(xor(t7,or(t1,t7))))]]) ).
cnf(refute_0_9501,plain,
( and(not(t7),or(t1,t7)) != xor(t7,or(t1,t7))
| and(t6,and(not(t7),or(t1,t7))) = xor(t7,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(t6,and(not(t7),or(t1,t7))),and(not(t7),or(t1,t7))) )],[refute_0_9499,refute_0_9500]) ).
cnf(refute_0_9502,plain,
and(t6,and(not(t7),or(t1,t7))) = xor(t7,or(t1,t7)),
inference(resolve,[$cnf( $equal(and(not(t7),or(t1,t7)),xor(t7,or(t1,t7))) )],[refute_0_9492,refute_0_9501]) ).
cnf(refute_0_9503,plain,
and(not(t7),and(t6,or(t1,t7))) = and(t6,and(not(t7),or(t1,t7))),
inference(subst,[],[refute_0_4220:[bind(X,$fot(t6)),bind(Z,$fot(or(t1,t7))),bind(X_669,$fot(not(t7)))]]) ).
cnf(refute_0_9504,plain,
( and(not(t7),and(t6,or(t1,t7))) != and(t6,and(not(t7),or(t1,t7)))
| and(t6,and(not(t7),or(t1,t7))) != xor(t7,or(t1,t7))
| and(not(t7),and(t6,or(t1,t7))) = xor(t7,or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t7),and(t6,or(t1,t7))))),bind(Y0,$fot(and(t6,and(not(t7),or(t1,t7))))),bind(Z0,$fot(xor(t7,or(t1,t7))))]]) ).
cnf(refute_0_9505,plain,
( and(t6,and(not(t7),or(t1,t7))) != xor(t7,or(t1,t7))
| and(not(t7),and(t6,or(t1,t7))) = xor(t7,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(not(t7),and(t6,or(t1,t7))),and(t6,and(not(t7),or(t1,t7)))) )],[refute_0_9503,refute_0_9504]) ).
cnf(refute_0_9506,plain,
and(not(t7),and(t6,or(t1,t7))) = xor(t7,or(t1,t7)),
inference(resolve,[$cnf( $equal(and(t6,and(not(t7),or(t1,t7))),xor(t7,or(t1,t7))) )],[refute_0_9502,refute_0_9505]) ).
cnf(refute_0_9507,plain,
( and(t6,or(t7,not(carry))) != xor(sum,or(a,t7))
| and(t6,or(t7,not(carry))) != xor(t6,and(carry,not(t7)))
| xor(sum,or(a,t7)) = xor(t6,and(carry,not(t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(t7,not(carry))),xor(t6,and(carry,not(t7)))) ),[0],$fot(xor(sum,or(a,t7)))]]) ).
cnf(refute_0_9508,plain,
( and(t6,or(t7,not(carry))) != xor(t6,and(carry,not(t7)))
| xor(sum,or(a,t7)) = xor(t6,and(carry,not(t7))) ),
inference(resolve,[$cnf( $equal(and(t6,or(t7,not(carry))),xor(sum,or(a,t7))) )],[refute_0_8418,refute_0_9507]) ).
cnf(refute_0_9509,plain,
xor(sum,or(a,t7)) = xor(t6,and(carry,not(t7))),
inference(resolve,[$cnf( $equal(and(t6,or(t7,not(carry))),xor(t6,and(carry,not(t7)))) )],[refute_0_8130,refute_0_9508]) ).
cnf(refute_0_9510,plain,
xor(t6,and(cin,not(t1))) = xor(t6,and(not(t1),cin)),
inference(subst,[],[refute_0_7527:[bind(X_75,$fot(not(t1)))]]) ).
cnf(refute_0_9511,plain,
and(and(cin,xor(t2,t7)),and(b,and(cin,xor(t2,t7)))) = and(and(cin,xor(t2,t7)),b),
inference(subst,[],[refute_0_4181:[bind(Y,$fot(b)),bind(X_22,$fot(and(cin,xor(t2,t7))))]]) ).
cnf(refute_0_9512,plain,
xor(t6,xor(t6,and(b,and(cin,xor(t2,t7))))) = and(b,and(cin,xor(t2,t7))),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(t6)),bind(X_335,$fot(and(b,and(cin,xor(t2,t7)))))]]) ).
cnf(refute_0_9513,plain,
and(t6,or(or(t1,xor(cin,t6)),not(cin))) = xor(t6,and(cin,not(or(t1,xor(cin,t6))))),
inference(subst,[],[refute_0_7533:[bind(X,$fot(or(t1,xor(cin,t6))))]]) ).
cnf(refute_0_9514,plain,
and(not(t1),or(cin,sum)) = and(b,and(t3,or(cin,sum))),
inference(subst,[],[refute_0_5432:[bind(Z,$fot(or(cin,sum)))]]) ).
cnf(refute_0_9515,plain,
( and(not(t1),or(cin,sum)) != and(b,and(t3,or(cin,sum)))
| and(t3,or(cin,sum)) != xor(t2,t7)
| and(not(t1),or(cin,sum)) = and(b,xor(t2,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t1),or(cin,sum)),and(b,and(t3,or(cin,sum)))) ),[1,1],$fot(xor(t2,t7))]]) ).
cnf(refute_0_9516,plain,
( and(not(t1),or(cin,sum)) != and(b,and(t3,or(cin,sum)))
| and(not(t1),or(cin,sum)) = and(b,xor(t2,t7)) ),
inference(resolve,[$cnf( $equal(and(t3,or(cin,sum)),xor(t2,t7)) )],[refute_0_2541,refute_0_9515]) ).
cnf(refute_0_9517,plain,
and(not(t1),or(cin,sum)) = and(b,xor(t2,t7)),
inference(resolve,[$cnf( $equal(and(not(t1),or(cin,sum)),and(b,and(t3,or(cin,sum)))) )],[refute_0_9514,refute_0_9516]) ).
cnf(refute_0_9518,plain,
and(not(t1),or(cin,sum)) = not(or(t1,xor(cin,t6))),
inference(subst,[],[refute_0_2592:[bind(X,$fot(t1))]]) ).
cnf(refute_0_9519,plain,
( and(not(t1),or(cin,sum)) != and(b,xor(t2,t7))
| and(not(t1),or(cin,sum)) != not(or(t1,xor(cin,t6)))
| not(or(t1,xor(cin,t6))) = and(b,xor(t2,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t1),or(cin,sum)),and(b,xor(t2,t7))) ),[0],$fot(not(or(t1,xor(cin,t6))))]]) ).
cnf(refute_0_9520,plain,
( and(not(t1),or(cin,sum)) != and(b,xor(t2,t7))
| not(or(t1,xor(cin,t6))) = and(b,xor(t2,t7)) ),
inference(resolve,[$cnf( $equal(and(not(t1),or(cin,sum)),not(or(t1,xor(cin,t6)))) )],[refute_0_9518,refute_0_9519]) ).
cnf(refute_0_9521,plain,
not(or(t1,xor(cin,t6))) = and(b,xor(t2,t7)),
inference(resolve,[$cnf( $equal(and(not(t1),or(cin,sum)),and(b,xor(t2,t7))) )],[refute_0_9517,refute_0_9520]) ).
cnf(refute_0_9522,plain,
( and(t6,or(or(t1,xor(cin,t6)),not(cin))) != xor(t6,and(cin,not(or(t1,xor(cin,t6)))))
| not(or(t1,xor(cin,t6))) != and(b,xor(t2,t7))
| and(t6,or(or(t1,xor(cin,t6)),not(cin))) = xor(t6,and(cin,and(b,xor(t2,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(or(t1,xor(cin,t6)),not(cin))),xor(t6,and(cin,not(or(t1,xor(cin,t6)))))) ),[1,1,1],$fot(and(b,xor(t2,t7)))]]) ).
cnf(refute_0_9523,plain,
( and(t6,or(or(t1,xor(cin,t6)),not(cin))) != xor(t6,and(cin,not(or(t1,xor(cin,t6)))))
| and(t6,or(or(t1,xor(cin,t6)),not(cin))) = xor(t6,and(cin,and(b,xor(t2,t7)))) ),
inference(resolve,[$cnf( $equal(not(or(t1,xor(cin,t6))),and(b,xor(t2,t7))) )],[refute_0_9521,refute_0_9522]) ).
cnf(refute_0_9524,plain,
and(t6,or(or(t1,xor(cin,t6)),not(cin))) = xor(t6,and(cin,and(b,xor(t2,t7)))),
inference(resolve,[$cnf( $equal(and(t6,or(or(t1,xor(cin,t6)),not(cin))),xor(t6,and(cin,not(or(t1,xor(cin,t6)))))) )],[refute_0_9513,refute_0_9523]) ).
cnf(refute_0_9525,plain,
or(t1,or(not(cin),xor(cin,t6))) = or(t1,or(not(cin),xor(cin,t6))),
introduced(tautology,[refl,[$fot(or(t1,or(not(cin),xor(cin,t6))))]]) ).
cnf(refute_0_9526,plain,
( or(not(cin),xor(cin,t6)) != not(cin)
| or(t1,or(not(cin),xor(cin,t6))) != or(t1,or(not(cin),xor(cin,t6)))
| or(t1,or(not(cin),xor(cin,t6))) = or(t1,not(cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,or(not(cin),xor(cin,t6))),or(t1,or(not(cin),xor(cin,t6)))) ),[1,1],$fot(not(cin))]]) ).
cnf(refute_0_9527,plain,
( or(not(cin),xor(cin,t6)) != not(cin)
| or(t1,or(not(cin),xor(cin,t6))) = or(t1,not(cin)) ),
inference(resolve,[$cnf( $equal(or(t1,or(not(cin),xor(cin,t6))),or(t1,or(not(cin),xor(cin,t6)))) )],[refute_0_9525,refute_0_9526]) ).
cnf(refute_0_9528,plain,
or(t1,or(not(cin),xor(cin,t6))) = or(t1,not(cin)),
inference(resolve,[$cnf( $equal(or(not(cin),xor(cin,t6)),not(cin)) )],[refute_0_1425,refute_0_9527]) ).
cnf(refute_0_9529,plain,
or(not(cin),or(t1,xor(cin,t6))) = or(t1,or(not(cin),xor(cin,t6))),
inference(subst,[],[refute_0_267:[bind(X_37,$fot(not(cin))),bind(X_38,$fot(t1)),bind(X_39,$fot(xor(cin,t6)))]]) ).
cnf(refute_0_9530,plain,
( or(not(cin),or(t1,xor(cin,t6))) != or(t1,or(not(cin),xor(cin,t6)))
| or(t1,or(not(cin),xor(cin,t6))) != or(t1,not(cin))
| or(not(cin),or(t1,xor(cin,t6))) = or(t1,not(cin)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(cin),or(t1,xor(cin,t6))))),bind(Y0,$fot(or(t1,or(not(cin),xor(cin,t6))))),bind(Z0,$fot(or(t1,not(cin))))]]) ).
cnf(refute_0_9531,plain,
( or(t1,or(not(cin),xor(cin,t6))) != or(t1,not(cin))
| or(not(cin),or(t1,xor(cin,t6))) = or(t1,not(cin)) ),
inference(resolve,[$cnf( $equal(or(not(cin),or(t1,xor(cin,t6))),or(t1,or(not(cin),xor(cin,t6)))) )],[refute_0_9529,refute_0_9530]) ).
cnf(refute_0_9532,plain,
or(not(cin),or(t1,xor(cin,t6))) = or(t1,not(cin)),
inference(resolve,[$cnf( $equal(or(t1,or(not(cin),xor(cin,t6))),or(t1,not(cin))) )],[refute_0_9528,refute_0_9531]) ).
cnf(refute_0_9533,plain,
and(t6,or(not(cin),or(t1,xor(cin,t6)))) = and(t6,or(not(cin),or(t1,xor(cin,t6)))),
introduced(tautology,[refl,[$fot(and(t6,or(not(cin),or(t1,xor(cin,t6)))))]]) ).
cnf(refute_0_9534,plain,
( and(t6,or(not(cin),or(t1,xor(cin,t6)))) != and(t6,or(not(cin),or(t1,xor(cin,t6))))
| or(not(cin),or(t1,xor(cin,t6))) != or(t1,not(cin))
| and(t6,or(not(cin),or(t1,xor(cin,t6)))) = and(t6,or(t1,not(cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(not(cin),or(t1,xor(cin,t6)))),and(t6,or(not(cin),or(t1,xor(cin,t6))))) ),[1,1],$fot(or(t1,not(cin)))]]) ).
cnf(refute_0_9535,plain,
( or(not(cin),or(t1,xor(cin,t6))) != or(t1,not(cin))
| and(t6,or(not(cin),or(t1,xor(cin,t6)))) = and(t6,or(t1,not(cin))) ),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),or(t1,xor(cin,t6)))),and(t6,or(not(cin),or(t1,xor(cin,t6))))) )],[refute_0_9533,refute_0_9534]) ).
cnf(refute_0_9536,plain,
and(t6,or(not(cin),or(t1,xor(cin,t6)))) = and(t6,or(t1,not(cin))),
inference(resolve,[$cnf( $equal(or(not(cin),or(t1,xor(cin,t6))),or(t1,not(cin))) )],[refute_0_9532,refute_0_9535]) ).
cnf(refute_0_9537,plain,
and(t6,or(xor(t3,xor(X_453,t3)),not(cin))) = xor(t6,and(cin,not(xor(t3,xor(X_453,t3))))),
inference(subst,[],[refute_0_7533:[bind(X,$fot(xor(t3,xor(X_453,t3))))]]) ).
cnf(refute_0_9538,plain,
xor(X_333,xor(and(t2,t4),xor(t2,t4))) = xor(xor(X_333,and(t2,t4)),xor(t2,t4)),
inference(subst,[],[xor_associative:[bind(X,$fot(X_333)),bind(Y,$fot(and(t2,t4))),bind(Z,$fot(xor(t2,t4)))]]) ).
cnf(refute_0_9539,plain,
ll1 = xor(and(t2,t4),not(and(t2,t4))),
inference(subst,[],[refute_0_473:[bind(X_64,$fot(and(t2,t4)))]]) ).
cnf(refute_0_9540,plain,
or(and(t2,not(t4)),and(not(t2),t4)) = xor(t2,t4),
inference(subst,[],[refute_0_9:[bind(X,$fot(t2)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_9541,plain,
and(not(t4),or(t2,not(t4))) = not(t4),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(not(t4))),bind(X_20,$fot(t2))]]) ).
cnf(refute_0_9542,plain,
( and(not(t4),or(t2,not(t4))) != not(t4)
| or(t2,not(t4)) != t2
| and(not(t4),t2) = not(t4) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),or(t2,not(t4))),not(t4)) ),[0,1],$fot(t2)]]) ).
cnf(refute_0_9543,plain,
( and(not(t4),or(t2,not(t4))) != not(t4)
| and(not(t4),t2) = not(t4) ),
inference(resolve,[$cnf( $equal(or(t2,not(t4)),t2) )],[refute_0_9008,refute_0_9542]) ).
cnf(refute_0_9544,plain,
and(not(t4),t2) = not(t4),
inference(resolve,[$cnf( $equal(and(not(t4),or(t2,not(t4))),not(t4)) )],[refute_0_9541,refute_0_9543]) ).
cnf(refute_0_9545,plain,
and(not(t4),t2) = and(t2,not(t4)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t2)),bind(Y,$fot(not(t4)))]]) ).
cnf(refute_0_9546,plain,
( and(not(t4),t2) != and(t2,not(t4))
| and(not(t4),t2) != not(t4)
| and(t2,not(t4)) = not(t4) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),t2),not(t4)) ),[0],$fot(and(t2,not(t4)))]]) ).
cnf(refute_0_9547,plain,
( and(not(t4),t2) != not(t4)
| and(t2,not(t4)) = not(t4) ),
inference(resolve,[$cnf( $equal(and(not(t4),t2),and(t2,not(t4))) )],[refute_0_9545,refute_0_9546]) ).
cnf(refute_0_9548,plain,
and(t2,not(t4)) = not(t4),
inference(resolve,[$cnf( $equal(and(not(t4),t2),not(t4)) )],[refute_0_9544,refute_0_9547]) ).
cnf(refute_0_9549,plain,
( and(t2,not(t4)) != not(t4)
| or(and(t2,not(t4)),and(not(t2),t4)) != xor(t2,t4)
| or(not(t4),and(not(t2),t4)) = xor(t2,t4) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t2,not(t4)),and(not(t2),t4)),xor(t2,t4)) ),[0,0],$fot(not(t4))]]) ).
cnf(refute_0_9550,plain,
( or(and(t2,not(t4)),and(not(t2),t4)) != xor(t2,t4)
| or(not(t4),and(not(t2),t4)) = xor(t2,t4) ),
inference(resolve,[$cnf( $equal(and(t2,not(t4)),not(t4)) )],[refute_0_9548,refute_0_9549]) ).
cnf(refute_0_9551,plain,
or(not(t4),and(not(t2),t4)) = xor(t2,t4),
inference(resolve,[$cnf( $equal(or(and(t2,not(t4)),and(not(t2),t4)),xor(t2,t4)) )],[refute_0_9540,refute_0_9550]) ).
cnf(refute_0_9552,plain,
not(and(t4,t2)) = not(and(t2,t4)),
inference(subst,[],[refute_0_333:[bind(X_31,$fot(t4)),bind(X_32,$fot(t2))]]) ).
cnf(refute_0_9553,plain,
or(not(t4),not(t2)) = not(and(t4,t2)),
inference(subst,[],[refute_0_147:[bind(X,$fot(t4)),bind(Y,$fot(t2))]]) ).
cnf(refute_0_9554,plain,
( not(and(t4,t2)) != not(and(t2,t4))
| or(not(t4),not(t2)) != not(and(t4,t2))
| or(not(t4),not(t2)) = not(and(t2,t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t4),not(t2)))),bind(Y0,$fot(not(and(t4,t2)))),bind(Z0,$fot(not(and(t2,t4))))]]) ).
cnf(refute_0_9555,plain,
( not(and(t4,t2)) != not(and(t2,t4))
| or(not(t4),not(t2)) = not(and(t2,t4)) ),
inference(resolve,[$cnf( $equal(or(not(t4),not(t2)),not(and(t4,t2))) )],[refute_0_9553,refute_0_9554]) ).
cnf(refute_0_9556,plain,
or(not(t4),not(t2)) = not(and(t2,t4)),
inference(resolve,[$cnf( $equal(not(and(t4,t2)),not(and(t2,t4))) )],[refute_0_9552,refute_0_9555]) ).
cnf(refute_0_9557,plain,
and(not(t2),t4) = and(t4,not(t2)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t4)),bind(Y,$fot(not(t2)))]]) ).
cnf(refute_0_9558,plain,
( and(not(t2),t4) != and(t4,not(t2))
| and(t4,not(t2)) != not(t2)
| and(not(t2),t4) = not(t2) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t2),t4))),bind(Y0,$fot(and(t4,not(t2)))),bind(Z0,$fot(not(t2)))]]) ).
cnf(refute_0_9559,plain,
( and(t4,not(t2)) != not(t2)
| and(not(t2),t4) = not(t2) ),
inference(resolve,[$cnf( $equal(and(not(t2),t4),and(t4,not(t2))) )],[refute_0_9557,refute_0_9558]) ).
cnf(refute_0_9560,plain,
and(not(t2),t4) = not(t2),
inference(resolve,[$cnf( $equal(and(t4,not(t2)),not(t2)) )],[refute_0_9017,refute_0_9559]) ).
cnf(refute_0_9561,plain,
or(not(t4),and(not(t2),t4)) = or(not(t4),and(not(t2),t4)),
introduced(tautology,[refl,[$fot(or(not(t4),and(not(t2),t4)))]]) ).
cnf(refute_0_9562,plain,
( and(not(t2),t4) != not(t2)
| or(not(t4),and(not(t2),t4)) != or(not(t4),and(not(t2),t4))
| or(not(t4),and(not(t2),t4)) = or(not(t4),not(t2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t4),and(not(t2),t4)),or(not(t4),and(not(t2),t4))) ),[1,1],$fot(not(t2))]]) ).
cnf(refute_0_9563,plain,
( and(not(t2),t4) != not(t2)
| or(not(t4),and(not(t2),t4)) = or(not(t4),not(t2)) ),
inference(resolve,[$cnf( $equal(or(not(t4),and(not(t2),t4)),or(not(t4),and(not(t2),t4))) )],[refute_0_9561,refute_0_9562]) ).
cnf(refute_0_9564,plain,
or(not(t4),and(not(t2),t4)) = or(not(t4),not(t2)),
inference(resolve,[$cnf( $equal(and(not(t2),t4),not(t2)) )],[refute_0_9560,refute_0_9563]) ).
cnf(refute_0_9565,plain,
( or(not(t4),and(not(t2),t4)) != or(not(t4),not(t2))
| or(not(t4),not(t2)) != not(and(t2,t4))
| or(not(t4),and(not(t2),t4)) = not(and(t2,t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t4),and(not(t2),t4)))),bind(Y0,$fot(or(not(t4),not(t2)))),bind(Z0,$fot(not(and(t2,t4))))]]) ).
cnf(refute_0_9566,plain,
( or(not(t4),not(t2)) != not(and(t2,t4))
| or(not(t4),and(not(t2),t4)) = not(and(t2,t4)) ),
inference(resolve,[$cnf( $equal(or(not(t4),and(not(t2),t4)),or(not(t4),not(t2))) )],[refute_0_9564,refute_0_9565]) ).
cnf(refute_0_9567,plain,
or(not(t4),and(not(t2),t4)) = not(and(t2,t4)),
inference(resolve,[$cnf( $equal(or(not(t4),not(t2)),not(and(t2,t4))) )],[refute_0_9556,refute_0_9566]) ).
cnf(refute_0_9568,plain,
( or(not(t4),and(not(t2),t4)) != not(and(t2,t4))
| or(not(t4),and(not(t2),t4)) != xor(t2,t4)
| not(and(t2,t4)) = xor(t2,t4) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t4),and(not(t2),t4)),xor(t2,t4)) ),[0],$fot(not(and(t2,t4)))]]) ).
cnf(refute_0_9569,plain,
( or(not(t4),and(not(t2),t4)) != xor(t2,t4)
| not(and(t2,t4)) = xor(t2,t4) ),
inference(resolve,[$cnf( $equal(or(not(t4),and(not(t2),t4)),not(and(t2,t4))) )],[refute_0_9567,refute_0_9568]) ).
cnf(refute_0_9570,plain,
not(and(t2,t4)) = xor(t2,t4),
inference(resolve,[$cnf( $equal(or(not(t4),and(not(t2),t4)),xor(t2,t4)) )],[refute_0_9551,refute_0_9569]) ).
cnf(refute_0_9571,plain,
( ll1 != xor(and(t2,t4),not(and(t2,t4)))
| not(and(t2,t4)) != xor(t2,t4)
| ll1 = xor(and(t2,t4),xor(t2,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,xor(and(t2,t4),not(and(t2,t4)))) ),[1,1],$fot(xor(t2,t4))]]) ).
cnf(refute_0_9572,plain,
( ll1 != xor(and(t2,t4),not(and(t2,t4)))
| ll1 = xor(and(t2,t4),xor(t2,t4)) ),
inference(resolve,[$cnf( $equal(not(and(t2,t4)),xor(t2,t4)) )],[refute_0_9570,refute_0_9571]) ).
cnf(refute_0_9573,plain,
ll1 = xor(and(t2,t4),xor(t2,t4)),
inference(resolve,[$cnf( $equal(ll1,xor(and(t2,t4),not(and(t2,t4)))) )],[refute_0_9539,refute_0_9572]) ).
cnf(refute_0_9574,plain,
( ll1 != xor(and(t2,t4),xor(t2,t4))
| xor(and(t2,t4),xor(t2,t4)) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(xor(and(t2,t4),xor(t2,t4))))]]) ).
cnf(refute_0_9575,plain,
xor(and(t2,t4),xor(t2,t4)) = ll1,
inference(resolve,[$cnf( $equal(ll1,xor(and(t2,t4),xor(t2,t4))) )],[refute_0_9573,refute_0_9574]) ).
cnf(refute_0_9576,plain,
( xor(X_333,xor(and(t2,t4),xor(t2,t4))) != xor(xor(X_333,and(t2,t4)),xor(t2,t4))
| xor(and(t2,t4),xor(t2,t4)) != ll1
| xor(X_333,ll1) = xor(xor(X_333,and(t2,t4)),xor(t2,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,xor(and(t2,t4),xor(t2,t4))),xor(xor(X_333,and(t2,t4)),xor(t2,t4))) ),[0,1],$fot(ll1)]]) ).
cnf(refute_0_9577,plain,
( xor(X_333,xor(and(t2,t4),xor(t2,t4))) != xor(xor(X_333,and(t2,t4)),xor(t2,t4))
| xor(X_333,ll1) = xor(xor(X_333,and(t2,t4)),xor(t2,t4)) ),
inference(resolve,[$cnf( $equal(xor(and(t2,t4),xor(t2,t4)),ll1) )],[refute_0_9575,refute_0_9576]) ).
cnf(refute_0_9578,plain,
xor(X_333,ll1) = xor(xor(X_333,and(t2,t4)),xor(t2,t4)),
inference(resolve,[$cnf( $equal(xor(X_333,xor(and(t2,t4),xor(t2,t4))),xor(xor(X_333,and(t2,t4)),xor(t2,t4))) )],[refute_0_9538,refute_0_9577]) ).
cnf(refute_0_9579,plain,
( xor(X_333,ll1) != not(X_333)
| xor(X_333,ll1) != xor(xor(X_333,and(t2,t4)),xor(t2,t4))
| not(X_333) = xor(xor(X_333,and(t2,t4)),xor(t2,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,ll1),xor(xor(X_333,and(t2,t4)),xor(t2,t4))) ),[0],$fot(not(X_333))]]) ).
cnf(refute_0_9580,plain,
( xor(X_333,ll1) != xor(xor(X_333,and(t2,t4)),xor(t2,t4))
| not(X_333) = xor(xor(X_333,and(t2,t4)),xor(t2,t4)) ),
inference(resolve,[$cnf( $equal(xor(X_333,ll1),not(X_333)) )],[refute_0_3465,refute_0_9579]) ).
cnf(refute_0_9581,plain,
xor(t4,xor(xor(X_333,and(t2,t4)),t2)) = xor(t2,xor(t4,xor(X_333,and(t2,t4)))),
inference(subst,[],[refute_0_1453:[bind(X,$fot(t2)),bind(X_333,$fot(t4)),bind(X_334,$fot(xor(X_333,and(t2,t4))))]]) ).
cnf(refute_0_9582,plain,
xor(xor(X_333,and(t2,t4)),xor(t2,t4)) = xor(t4,xor(xor(X_333,and(t2,t4)),t2)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(t4)),bind(X_333,$fot(xor(X_333,and(t2,t4)))),bind(X_334,$fot(t2))]]) ).
cnf(refute_0_9583,plain,
( xor(t4,xor(xor(X_333,and(t2,t4)),t2)) != xor(t2,xor(t4,xor(X_333,and(t2,t4))))
| xor(xor(X_333,and(t2,t4)),xor(t2,t4)) != xor(t4,xor(xor(X_333,and(t2,t4)),t2))
| xor(xor(X_333,and(t2,t4)),xor(t2,t4)) = xor(t2,xor(t4,xor(X_333,and(t2,t4)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X_333,and(t2,t4)),xor(t2,t4)))),bind(Y0,$fot(xor(t4,xor(xor(X_333,and(t2,t4)),t2)))),bind(Z0,$fot(xor(t2,xor(t4,xor(X_333,and(t2,t4))))))]]) ).
cnf(refute_0_9584,plain,
( xor(t4,xor(xor(X_333,and(t2,t4)),t2)) != xor(t2,xor(t4,xor(X_333,and(t2,t4))))
| xor(xor(X_333,and(t2,t4)),xor(t2,t4)) = xor(t2,xor(t4,xor(X_333,and(t2,t4)))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,and(t2,t4)),xor(t2,t4)),xor(t4,xor(xor(X_333,and(t2,t4)),t2))) )],[refute_0_9582,refute_0_9583]) ).
cnf(refute_0_9585,plain,
xor(xor(X_333,and(t2,t4)),xor(t2,t4)) = xor(t2,xor(t4,xor(X_333,and(t2,t4)))),
inference(resolve,[$cnf( $equal(xor(t4,xor(xor(X_333,and(t2,t4)),t2)),xor(t2,xor(t4,xor(X_333,and(t2,t4))))) )],[refute_0_9581,refute_0_9584]) ).
cnf(refute_0_9586,plain,
( not(X_333) != xor(xor(X_333,and(t2,t4)),xor(t2,t4))
| xor(xor(X_333,and(t2,t4)),xor(t2,t4)) != xor(t2,xor(t4,xor(X_333,and(t2,t4))))
| not(X_333) = xor(t2,xor(t4,xor(X_333,and(t2,t4)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(X_333),xor(t2,xor(t4,xor(X_333,and(t2,t4))))) ),[0],$fot(xor(xor(X_333,and(t2,t4)),xor(t2,t4)))]]) ).
cnf(refute_0_9587,plain,
( not(X_333) != xor(xor(X_333,and(t2,t4)),xor(t2,t4))
| not(X_333) = xor(t2,xor(t4,xor(X_333,and(t2,t4)))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,and(t2,t4)),xor(t2,t4)),xor(t2,xor(t4,xor(X_333,and(t2,t4))))) )],[refute_0_9585,refute_0_9586]) ).
cnf(refute_0_9588,plain,
( xor(X_333,ll1) != xor(xor(X_333,and(t2,t4)),xor(t2,t4))
| not(X_333) = xor(t2,xor(t4,xor(X_333,and(t2,t4)))) ),
inference(resolve,[$cnf( $equal(not(X_333),xor(xor(X_333,and(t2,t4)),xor(t2,t4))) )],[refute_0_9580,refute_0_9587]) ).
cnf(refute_0_9589,plain,
not(X_333) = xor(t2,xor(t4,xor(X_333,and(t2,t4)))),
inference(resolve,[$cnf( $equal(xor(X_333,ll1),xor(xor(X_333,and(t2,t4)),xor(t2,t4))) )],[refute_0_9578,refute_0_9588]) ).
cnf(refute_0_9590,plain,
xor(t3,not(xor(X_333,t3))) = not(xor(t3,xor(X_333,t3))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t3)),bind(X_334,$fot(xor(X_333,t3)))]]) ).
cnf(refute_0_9591,plain,
xor(X_333,not(t3)) = not(xor(X_333,t3)),
inference(subst,[],[refute_0_1139:[bind(X_334,$fot(t3))]]) ).
cnf(refute_0_9592,plain,
not(not(and(t2,t4))) = and(t2,t4),
inference(subst,[],[not_involution:[bind(X,$fot(and(t2,t4)))]]) ).
cnf(refute_0_9593,plain,
( not(and(t2,t4)) != xor(t2,t4)
| not(not(and(t2,t4))) != and(t2,t4)
| not(xor(t2,t4)) = and(t2,t4) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(t2,t4))),and(t2,t4)) ),[0,0],$fot(xor(t2,t4))]]) ).
cnf(refute_0_9594,plain,
( not(not(and(t2,t4))) != and(t2,t4)
| not(xor(t2,t4)) = and(t2,t4) ),
inference(resolve,[$cnf( $equal(not(and(t2,t4)),xor(t2,t4)) )],[refute_0_9570,refute_0_9593]) ).
cnf(refute_0_9595,plain,
not(xor(t2,t4)) = and(t2,t4),
inference(resolve,[$cnf( $equal(not(not(and(t2,t4))),and(t2,t4)) )],[refute_0_9592,refute_0_9594]) ).
cnf(refute_0_9596,plain,
xor(a,xor(t1,t4)) = xor(t2,t4),
inference(subst,[],[refute_0_370:[bind(X_335,$fot(t4))]]) ).
cnf(refute_0_9597,plain,
( xor(carry,t6) != xor(b,t2)
| xor(t1,t4) != xor(carry,t6)
| xor(t1,t4) = xor(b,t2) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,t4),xor(carry,t6)) ),[1],$fot(xor(b,t2))]]) ).
cnf(refute_0_9598,plain,
( xor(t1,t4) != xor(carry,t6)
| xor(t1,t4) = xor(b,t2) ),
inference(resolve,[$cnf( $equal(xor(carry,t6),xor(b,t2)) )],[refute_0_2228,refute_0_9597]) ).
cnf(refute_0_9599,plain,
xor(t1,t4) = xor(b,t2),
inference(resolve,[$cnf( $equal(xor(t1,t4),xor(carry,t6)) )],[refute_0_1496,refute_0_9598]) ).
cnf(refute_0_9600,plain,
( xor(b,t2) != xor(a,t3)
| xor(t1,t4) != xor(b,t2)
| xor(t1,t4) = xor(a,t3) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,t4),xor(b,t2)) ),[1],$fot(xor(a,t3))]]) ).
cnf(refute_0_9601,plain,
( xor(t1,t4) != xor(b,t2)
| xor(t1,t4) = xor(a,t3) ),
inference(resolve,[$cnf( $equal(xor(b,t2),xor(a,t3)) )],[refute_0_4596,refute_0_9600]) ).
cnf(refute_0_9602,plain,
xor(t1,t4) = xor(a,t3),
inference(resolve,[$cnf( $equal(xor(t1,t4),xor(b,t2)) )],[refute_0_9599,refute_0_9601]) ).
cnf(refute_0_9603,plain,
( xor(a,xor(t1,t4)) != xor(t2,t4)
| xor(t1,t4) != xor(a,t3)
| xor(a,xor(a,t3)) = xor(t2,t4) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t1,t4)),xor(t2,t4)) ),[0,1],$fot(xor(a,t3))]]) ).
cnf(refute_0_9604,plain,
( xor(a,xor(t1,t4)) != xor(t2,t4)
| xor(a,xor(a,t3)) = xor(t2,t4) ),
inference(resolve,[$cnf( $equal(xor(t1,t4),xor(a,t3)) )],[refute_0_9602,refute_0_9603]) ).
cnf(refute_0_9605,plain,
xor(a,xor(a,t3)) = xor(t2,t4),
inference(resolve,[$cnf( $equal(xor(a,xor(t1,t4)),xor(t2,t4)) )],[refute_0_9596,refute_0_9604]) ).
cnf(refute_0_9606,plain,
( xor(a,xor(a,t3)) != t3
| xor(a,xor(a,t3)) != xor(t2,t4)
| t3 = xor(t2,t4) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(a,t3)),xor(t2,t4)) ),[0],$fot(t3)]]) ).
cnf(refute_0_9607,plain,
( xor(a,xor(a,t3)) != xor(t2,t4)
| t3 = xor(t2,t4) ),
inference(resolve,[$cnf( $equal(xor(a,xor(a,t3)),t3) )],[refute_0_1849,refute_0_9606]) ).
cnf(refute_0_9608,plain,
t3 = xor(t2,t4),
inference(resolve,[$cnf( $equal(xor(a,xor(a,t3)),xor(t2,t4)) )],[refute_0_9605,refute_0_9607]) ).
cnf(refute_0_9609,plain,
( t3 != xor(t2,t4)
| xor(t2,t4) = t3 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(t3)),bind(Y0,$fot(xor(t2,t4)))]]) ).
cnf(refute_0_9610,plain,
xor(t2,t4) = t3,
inference(resolve,[$cnf( $equal(t3,xor(t2,t4)) )],[refute_0_9608,refute_0_9609]) ).
cnf(refute_0_9611,plain,
not(xor(t2,t4)) = not(xor(t2,t4)),
introduced(tautology,[refl,[$fot(not(xor(t2,t4)))]]) ).
cnf(refute_0_9612,plain,
( not(xor(t2,t4)) != not(xor(t2,t4))
| xor(t2,t4) != t3
| not(xor(t2,t4)) = not(t3) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t2,t4)),not(xor(t2,t4))) ),[1,0],$fot(t3)]]) ).
cnf(refute_0_9613,plain,
( xor(t2,t4) != t3
| not(xor(t2,t4)) = not(t3) ),
inference(resolve,[$cnf( $equal(not(xor(t2,t4)),not(xor(t2,t4))) )],[refute_0_9611,refute_0_9612]) ).
cnf(refute_0_9614,plain,
not(xor(t2,t4)) = not(t3),
inference(resolve,[$cnf( $equal(xor(t2,t4),t3) )],[refute_0_9610,refute_0_9613]) ).
cnf(refute_0_9615,plain,
( not(xor(t2,t4)) != and(t2,t4)
| not(xor(t2,t4)) != not(t3)
| not(t3) = and(t2,t4) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t2,t4)),and(t2,t4)) ),[0],$fot(not(t3))]]) ).
cnf(refute_0_9616,plain,
( not(xor(t2,t4)) != and(t2,t4)
| not(t3) = and(t2,t4) ),
inference(resolve,[$cnf( $equal(not(xor(t2,t4)),not(t3)) )],[refute_0_9614,refute_0_9615]) ).
cnf(refute_0_9617,plain,
not(t3) = and(t2,t4),
inference(resolve,[$cnf( $equal(not(xor(t2,t4)),and(t2,t4)) )],[refute_0_9595,refute_0_9616]) ).
cnf(refute_0_9618,plain,
( not(t3) != and(t2,t4)
| and(t2,t4) = not(t3) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t3))),bind(Y0,$fot(and(t2,t4)))]]) ).
cnf(refute_0_9619,plain,
and(t2,t4) = not(t3),
inference(resolve,[$cnf( $equal(not(t3),and(t2,t4)) )],[refute_0_9617,refute_0_9618]) ).
cnf(refute_0_9620,plain,
xor(X_333,and(t2,t4)) = xor(X_333,and(t2,t4)),
introduced(tautology,[refl,[$fot(xor(X_333,and(t2,t4)))]]) ).
cnf(refute_0_9621,plain,
( and(t2,t4) != not(t3)
| xor(X_333,and(t2,t4)) != xor(X_333,and(t2,t4))
| xor(X_333,and(t2,t4)) = xor(X_333,not(t3)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,and(t2,t4)),xor(X_333,and(t2,t4))) ),[1,1],$fot(not(t3))]]) ).
cnf(refute_0_9622,plain,
( and(t2,t4) != not(t3)
| xor(X_333,and(t2,t4)) = xor(X_333,not(t3)) ),
inference(resolve,[$cnf( $equal(xor(X_333,and(t2,t4)),xor(X_333,and(t2,t4))) )],[refute_0_9620,refute_0_9621]) ).
cnf(refute_0_9623,plain,
xor(X_333,and(t2,t4)) = xor(X_333,not(t3)),
inference(resolve,[$cnf( $equal(and(t2,t4),not(t3)) )],[refute_0_9619,refute_0_9622]) ).
cnf(refute_0_9624,plain,
( xor(X_333,and(t2,t4)) != xor(X_333,not(t3))
| xor(X_333,not(t3)) != not(xor(X_333,t3))
| xor(X_333,and(t2,t4)) = not(xor(X_333,t3)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(X_333,and(t2,t4)))),bind(Y0,$fot(xor(X_333,not(t3)))),bind(Z0,$fot(not(xor(X_333,t3))))]]) ).
cnf(refute_0_9625,plain,
( xor(X_333,not(t3)) != not(xor(X_333,t3))
| xor(X_333,and(t2,t4)) = not(xor(X_333,t3)) ),
inference(resolve,[$cnf( $equal(xor(X_333,and(t2,t4)),xor(X_333,not(t3))) )],[refute_0_9623,refute_0_9624]) ).
cnf(refute_0_9626,plain,
xor(X_333,and(t2,t4)) = not(xor(X_333,t3)),
inference(resolve,[$cnf( $equal(xor(X_333,not(t3)),not(xor(X_333,t3))) )],[refute_0_9591,refute_0_9625]) ).
cnf(refute_0_9627,plain,
xor(t3,xor(X_333,and(t2,t4))) = xor(t3,xor(X_333,and(t2,t4))),
introduced(tautology,[refl,[$fot(xor(t3,xor(X_333,and(t2,t4))))]]) ).
cnf(refute_0_9628,plain,
( xor(X_333,and(t2,t4)) != not(xor(X_333,t3))
| xor(t3,xor(X_333,and(t2,t4))) != xor(t3,xor(X_333,and(t2,t4)))
| xor(t3,xor(X_333,and(t2,t4))) = xor(t3,not(xor(X_333,t3))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,xor(X_333,and(t2,t4))),xor(t3,xor(X_333,and(t2,t4)))) ),[1,1],$fot(not(xor(X_333,t3)))]]) ).
cnf(refute_0_9629,plain,
( xor(X_333,and(t2,t4)) != not(xor(X_333,t3))
| xor(t3,xor(X_333,and(t2,t4))) = xor(t3,not(xor(X_333,t3))) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(X_333,and(t2,t4))),xor(t3,xor(X_333,and(t2,t4)))) )],[refute_0_9627,refute_0_9628]) ).
cnf(refute_0_9630,plain,
xor(t3,xor(X_333,and(t2,t4))) = xor(t3,not(xor(X_333,t3))),
inference(resolve,[$cnf( $equal(xor(X_333,and(t2,t4)),not(xor(X_333,t3))) )],[refute_0_9626,refute_0_9629]) ).
cnf(refute_0_9631,plain,
( xor(t3,not(xor(X_333,t3))) != not(xor(t3,xor(X_333,t3)))
| xor(t3,xor(X_333,and(t2,t4))) != xor(t3,not(xor(X_333,t3)))
| xor(t3,xor(X_333,and(t2,t4))) = not(xor(t3,xor(X_333,t3))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t3,xor(X_333,and(t2,t4))))),bind(Y0,$fot(xor(t3,not(xor(X_333,t3))))),bind(Z0,$fot(not(xor(t3,xor(X_333,t3)))))]]) ).
cnf(refute_0_9632,plain,
( xor(t3,not(xor(X_333,t3))) != not(xor(t3,xor(X_333,t3)))
| xor(t3,xor(X_333,and(t2,t4))) = not(xor(t3,xor(X_333,t3))) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(X_333,and(t2,t4))),xor(t3,not(xor(X_333,t3)))) )],[refute_0_9630,refute_0_9631]) ).
cnf(refute_0_9633,plain,
xor(t3,xor(X_333,and(t2,t4))) = not(xor(t3,xor(X_333,t3))),
inference(resolve,[$cnf( $equal(xor(t3,not(xor(X_333,t3))),not(xor(t3,xor(X_333,t3)))) )],[refute_0_9590,refute_0_9632]) ).
cnf(refute_0_9634,plain,
xor(xor(X_333,and(t2,t4)),t3) = xor(t3,xor(X_333,and(t2,t4))),
inference(subst,[],[refute_0_1863:[bind(X_333,$fot(xor(X_333,and(t2,t4))))]]) ).
cnf(refute_0_9635,plain,
xor(X,xor(a,xor(carry,t6))) = xor(xor(X,a),xor(carry,t6)),
inference(subst,[],[xor_associative:[bind(Y,$fot(a)),bind(Z,$fot(xor(carry,t6)))]]) ).
cnf(refute_0_9636,plain,
( xor(a,xor(t1,t4)) != xor(t2,t4)
| xor(t1,t4) != xor(carry,t6)
| xor(a,xor(carry,t6)) = xor(t2,t4) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t1,t4)),xor(t2,t4)) ),[0,1],$fot(xor(carry,t6))]]) ).
cnf(refute_0_9637,plain,
( xor(a,xor(t1,t4)) != xor(t2,t4)
| xor(a,xor(carry,t6)) = xor(t2,t4) ),
inference(resolve,[$cnf( $equal(xor(t1,t4),xor(carry,t6)) )],[refute_0_1496,refute_0_9636]) ).
cnf(refute_0_9638,plain,
xor(a,xor(carry,t6)) = xor(t2,t4),
inference(resolve,[$cnf( $equal(xor(a,xor(t1,t4)),xor(t2,t4)) )],[refute_0_9596,refute_0_9637]) ).
cnf(refute_0_9639,plain,
( xor(X,xor(a,xor(carry,t6))) != xor(xor(X,a),xor(carry,t6))
| xor(a,xor(carry,t6)) != xor(t2,t4)
| xor(X,xor(t2,t4)) = xor(xor(X,a),xor(carry,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,xor(a,xor(carry,t6))),xor(xor(X,a),xor(carry,t6))) ),[0,1],$fot(xor(t2,t4))]]) ).
cnf(refute_0_9640,plain,
( xor(X,xor(a,xor(carry,t6))) != xor(xor(X,a),xor(carry,t6))
| xor(X,xor(t2,t4)) = xor(xor(X,a),xor(carry,t6)) ),
inference(resolve,[$cnf( $equal(xor(a,xor(carry,t6)),xor(t2,t4)) )],[refute_0_9638,refute_0_9639]) ).
cnf(refute_0_9641,plain,
xor(X,xor(t2,t4)) = xor(xor(X,a),xor(carry,t6)),
inference(resolve,[$cnf( $equal(xor(X,xor(a,xor(carry,t6))),xor(xor(X,a),xor(carry,t6))) )],[refute_0_9635,refute_0_9640]) ).
cnf(refute_0_9642,plain,
xor(a,xor(xor(carry,t6),Z)) = xor(xor(a,xor(carry,t6)),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(a)),bind(Y,$fot(xor(carry,t6)))]]) ).
cnf(refute_0_9643,plain,
( xor(a,xor(carry,t6)) != xor(t2,t4)
| xor(a,xor(xor(carry,t6),Z)) != xor(xor(a,xor(carry,t6)),Z)
| xor(a,xor(xor(carry,t6),Z)) = xor(xor(t2,t4),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(xor(carry,t6),Z)),xor(xor(a,xor(carry,t6)),Z)) ),[1,0],$fot(xor(t2,t4))]]) ).
cnf(refute_0_9644,plain,
( xor(a,xor(xor(carry,t6),Z)) != xor(xor(a,xor(carry,t6)),Z)
| xor(a,xor(xor(carry,t6),Z)) = xor(xor(t2,t4),Z) ),
inference(resolve,[$cnf( $equal(xor(a,xor(carry,t6)),xor(t2,t4)) )],[refute_0_9638,refute_0_9643]) ).
cnf(refute_0_9645,plain,
xor(a,xor(xor(carry,t6),Z)) = xor(xor(t2,t4),Z),
inference(resolve,[$cnf( $equal(xor(a,xor(xor(carry,t6),Z)),xor(xor(a,xor(carry,t6)),Z)) )],[refute_0_9642,refute_0_9644]) ).
cnf(refute_0_9646,plain,
xor(a,xor(xor(carry,t6),Z)) = xor(a,xor(xor(carry,t6),Z)),
introduced(tautology,[refl,[$fot(xor(a,xor(xor(carry,t6),Z)))]]) ).
cnf(refute_0_9647,plain,
( xor(a,xor(xor(carry,t6),Z)) != xor(a,xor(xor(carry,t6),Z))
| xor(xor(carry,t6),Z) != xor(carry,xor(t6,Z))
| xor(a,xor(xor(carry,t6),Z)) = xor(a,xor(carry,xor(t6,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(xor(carry,t6),Z)),xor(a,xor(xor(carry,t6),Z))) ),[1,1],$fot(xor(carry,xor(t6,Z)))]]) ).
cnf(refute_0_9648,plain,
( xor(xor(carry,t6),Z) != xor(carry,xor(t6,Z))
| xor(a,xor(xor(carry,t6),Z)) = xor(a,xor(carry,xor(t6,Z))) ),
inference(resolve,[$cnf( $equal(xor(a,xor(xor(carry,t6),Z)),xor(a,xor(xor(carry,t6),Z))) )],[refute_0_9646,refute_0_9647]) ).
cnf(refute_0_9649,plain,
xor(a,xor(xor(carry,t6),Z)) = xor(a,xor(carry,xor(t6,Z))),
inference(resolve,[$cnf( $equal(xor(xor(carry,t6),Z),xor(carry,xor(t6,Z))) )],[refute_0_1503,refute_0_9648]) ).
cnf(refute_0_9650,plain,
( xor(a,xor(xor(carry,t6),Z)) != xor(a,xor(carry,xor(t6,Z)))
| xor(a,xor(xor(carry,t6),Z)) != xor(xor(t2,t4),Z)
| xor(a,xor(carry,xor(t6,Z))) = xor(xor(t2,t4),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(xor(carry,t6),Z)),xor(xor(t2,t4),Z)) ),[0],$fot(xor(a,xor(carry,xor(t6,Z))))]]) ).
cnf(refute_0_9651,plain,
( xor(a,xor(xor(carry,t6),Z)) != xor(xor(t2,t4),Z)
| xor(a,xor(carry,xor(t6,Z))) = xor(xor(t2,t4),Z) ),
inference(resolve,[$cnf( $equal(xor(a,xor(xor(carry,t6),Z)),xor(a,xor(carry,xor(t6,Z)))) )],[refute_0_9649,refute_0_9650]) ).
cnf(refute_0_9652,plain,
xor(xor(t2,t4),Z) = xor(t2,xor(t4,Z)),
inference(subst,[],[refute_0_526:[bind(X,$fot(t2)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_9653,plain,
( xor(a,xor(carry,xor(t6,Z))) != xor(xor(t2,t4),Z)
| xor(xor(t2,t4),Z) != xor(t2,xor(t4,Z))
| xor(a,xor(carry,xor(t6,Z))) = xor(t2,xor(t4,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(a,xor(carry,xor(t6,Z))),xor(t2,xor(t4,Z))) ),[0],$fot(xor(xor(t2,t4),Z))]]) ).
cnf(refute_0_9654,plain,
( xor(a,xor(carry,xor(t6,Z))) != xor(xor(t2,t4),Z)
| xor(a,xor(carry,xor(t6,Z))) = xor(t2,xor(t4,Z)) ),
inference(resolve,[$cnf( $equal(xor(xor(t2,t4),Z),xor(t2,xor(t4,Z))) )],[refute_0_9652,refute_0_9653]) ).
cnf(refute_0_9655,plain,
( xor(a,xor(xor(carry,t6),Z)) != xor(xor(t2,t4),Z)
| xor(a,xor(carry,xor(t6,Z))) = xor(t2,xor(t4,Z)) ),
inference(resolve,[$cnf( $equal(xor(a,xor(carry,xor(t6,Z))),xor(xor(t2,t4),Z)) )],[refute_0_9651,refute_0_9654]) ).
cnf(refute_0_9656,plain,
xor(a,xor(carry,xor(t6,Z))) = xor(t2,xor(t4,Z)),
inference(resolve,[$cnf( $equal(xor(a,xor(xor(carry,t6),Z)),xor(xor(t2,t4),Z)) )],[refute_0_9645,refute_0_9655]) ).
cnf(refute_0_9657,plain,
xor(a,xor(carry,xor(t6,X))) = xor(t2,xor(t4,X)),
inference(subst,[],[refute_0_9656:[bind(Z,$fot(X))]]) ).
cnf(refute_0_9658,plain,
xor(carry,xor(a,xor(t6,X))) = xor(a,xor(carry,xor(t6,X))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(a)),bind(X_334,$fot(carry)),bind(X_335,$fot(xor(t6,X)))]]) ).
cnf(refute_0_9659,plain,
( xor(a,xor(carry,xor(t6,X))) != xor(t2,xor(t4,X))
| xor(carry,xor(a,xor(t6,X))) != xor(a,xor(carry,xor(t6,X)))
| xor(carry,xor(a,xor(t6,X))) = xor(t2,xor(t4,X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(carry,xor(a,xor(t6,X))))),bind(Y0,$fot(xor(a,xor(carry,xor(t6,X))))),bind(Z0,$fot(xor(t2,xor(t4,X))))]]) ).
cnf(refute_0_9660,plain,
( xor(a,xor(carry,xor(t6,X))) != xor(t2,xor(t4,X))
| xor(carry,xor(a,xor(t6,X))) = xor(t2,xor(t4,X)) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(a,xor(t6,X))),xor(a,xor(carry,xor(t6,X)))) )],[refute_0_9658,refute_0_9659]) ).
cnf(refute_0_9661,plain,
xor(carry,xor(a,xor(t6,X))) = xor(t2,xor(t4,X)),
inference(resolve,[$cnf( $equal(xor(a,xor(carry,xor(t6,X))),xor(t2,xor(t4,X))) )],[refute_0_9657,refute_0_9660]) ).
cnf(refute_0_9662,plain,
xor(t6,xor(X,a)) = xor(a,xor(t6,X)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(a)),bind(X_333,$fot(t6)),bind(X_334,$fot(X))]]) ).
cnf(refute_0_9663,plain,
xor(carry,xor(t6,xor(X,a))) = xor(carry,xor(t6,xor(X,a))),
introduced(tautology,[refl,[$fot(xor(carry,xor(t6,xor(X,a))))]]) ).
cnf(refute_0_9664,plain,
( xor(carry,xor(t6,xor(X,a))) != xor(carry,xor(t6,xor(X,a)))
| xor(t6,xor(X,a)) != xor(a,xor(t6,X))
| xor(carry,xor(t6,xor(X,a))) = xor(carry,xor(a,xor(t6,X))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(t6,xor(X,a))),xor(carry,xor(t6,xor(X,a)))) ),[1,1],$fot(xor(a,xor(t6,X)))]]) ).
cnf(refute_0_9665,plain,
( xor(t6,xor(X,a)) != xor(a,xor(t6,X))
| xor(carry,xor(t6,xor(X,a))) = xor(carry,xor(a,xor(t6,X))) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(t6,xor(X,a))),xor(carry,xor(t6,xor(X,a)))) )],[refute_0_9663,refute_0_9664]) ).
cnf(refute_0_9666,plain,
xor(carry,xor(t6,xor(X,a))) = xor(carry,xor(a,xor(t6,X))),
inference(resolve,[$cnf( $equal(xor(t6,xor(X,a)),xor(a,xor(t6,X))) )],[refute_0_9662,refute_0_9665]) ).
cnf(refute_0_9667,plain,
( xor(carry,xor(a,xor(t6,X))) != xor(t2,xor(t4,X))
| xor(carry,xor(t6,xor(X,a))) != xor(carry,xor(a,xor(t6,X)))
| xor(carry,xor(t6,xor(X,a))) = xor(t2,xor(t4,X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(carry,xor(t6,xor(X,a))))),bind(Y0,$fot(xor(carry,xor(a,xor(t6,X))))),bind(Z0,$fot(xor(t2,xor(t4,X))))]]) ).
cnf(refute_0_9668,plain,
( xor(carry,xor(a,xor(t6,X))) != xor(t2,xor(t4,X))
| xor(carry,xor(t6,xor(X,a))) = xor(t2,xor(t4,X)) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(t6,xor(X,a))),xor(carry,xor(a,xor(t6,X)))) )],[refute_0_9666,refute_0_9667]) ).
cnf(refute_0_9669,plain,
xor(carry,xor(t6,xor(X,a))) = xor(t2,xor(t4,X)),
inference(resolve,[$cnf( $equal(xor(carry,xor(a,xor(t6,X))),xor(t2,xor(t4,X))) )],[refute_0_9661,refute_0_9668]) ).
cnf(refute_0_9670,plain,
xor(carry,xor(xor(X,a),t6)) = xor(carry,xor(t6,xor(X,a))),
inference(subst,[],[refute_0_2105:[bind(X_333,$fot(carry)),bind(X_334,$fot(xor(X,a))),bind(X_335,$fot(t6))]]) ).
cnf(refute_0_9671,plain,
xor(xor(X,a),xor(carry,t6)) = xor(carry,xor(xor(X,a),t6)),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(carry)),bind(X_334,$fot(xor(X,a))),bind(X_335,$fot(t6))]]) ).
cnf(refute_0_9672,plain,
( xor(carry,xor(xor(X,a),t6)) != xor(carry,xor(t6,xor(X,a)))
| xor(xor(X,a),xor(carry,t6)) != xor(carry,xor(xor(X,a),t6))
| xor(xor(X,a),xor(carry,t6)) = xor(carry,xor(t6,xor(X,a))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X,a),xor(carry,t6)))),bind(Y0,$fot(xor(carry,xor(xor(X,a),t6)))),bind(Z0,$fot(xor(carry,xor(t6,xor(X,a)))))]]) ).
cnf(refute_0_9673,plain,
( xor(carry,xor(xor(X,a),t6)) != xor(carry,xor(t6,xor(X,a)))
| xor(xor(X,a),xor(carry,t6)) = xor(carry,xor(t6,xor(X,a))) ),
inference(resolve,[$cnf( $equal(xor(xor(X,a),xor(carry,t6)),xor(carry,xor(xor(X,a),t6))) )],[refute_0_9671,refute_0_9672]) ).
cnf(refute_0_9674,plain,
xor(xor(X,a),xor(carry,t6)) = xor(carry,xor(t6,xor(X,a))),
inference(resolve,[$cnf( $equal(xor(carry,xor(xor(X,a),t6)),xor(carry,xor(t6,xor(X,a)))) )],[refute_0_9670,refute_0_9673]) ).
cnf(refute_0_9675,plain,
( xor(carry,xor(t6,xor(X,a))) != xor(t2,xor(t4,X))
| xor(xor(X,a),xor(carry,t6)) != xor(carry,xor(t6,xor(X,a)))
| xor(xor(X,a),xor(carry,t6)) = xor(t2,xor(t4,X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X,a),xor(carry,t6)))),bind(Y0,$fot(xor(carry,xor(t6,xor(X,a))))),bind(Z0,$fot(xor(t2,xor(t4,X))))]]) ).
cnf(refute_0_9676,plain,
( xor(carry,xor(t6,xor(X,a))) != xor(t2,xor(t4,X))
| xor(xor(X,a),xor(carry,t6)) = xor(t2,xor(t4,X)) ),
inference(resolve,[$cnf( $equal(xor(xor(X,a),xor(carry,t6)),xor(carry,xor(t6,xor(X,a)))) )],[refute_0_9674,refute_0_9675]) ).
cnf(refute_0_9677,plain,
xor(xor(X,a),xor(carry,t6)) = xor(t2,xor(t4,X)),
inference(resolve,[$cnf( $equal(xor(carry,xor(t6,xor(X,a))),xor(t2,xor(t4,X))) )],[refute_0_9669,refute_0_9676]) ).
cnf(refute_0_9678,plain,
( xor(X,xor(t2,t4)) != xor(xor(X,a),xor(carry,t6))
| xor(xor(X,a),xor(carry,t6)) != xor(t2,xor(t4,X))
| xor(X,xor(t2,t4)) = xor(t2,xor(t4,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(X,xor(t2,t4)),xor(t2,xor(t4,X))) ),[0],$fot(xor(xor(X,a),xor(carry,t6)))]]) ).
cnf(refute_0_9679,plain,
( xor(X,xor(t2,t4)) != xor(xor(X,a),xor(carry,t6))
| xor(X,xor(t2,t4)) = xor(t2,xor(t4,X)) ),
inference(resolve,[$cnf( $equal(xor(xor(X,a),xor(carry,t6)),xor(t2,xor(t4,X))) )],[refute_0_9677,refute_0_9678]) ).
cnf(refute_0_9680,plain,
xor(X,xor(t2,t4)) = xor(t2,xor(t4,X)),
inference(resolve,[$cnf( $equal(xor(X,xor(t2,t4)),xor(xor(X,a),xor(carry,t6))) )],[refute_0_9641,refute_0_9679]) ).
cnf(refute_0_9681,plain,
xor(X,xor(t2,t4)) = xor(X,xor(t2,t4)),
introduced(tautology,[refl,[$fot(xor(X,xor(t2,t4)))]]) ).
cnf(refute_0_9682,plain,
( xor(X,xor(t2,t4)) != xor(X,xor(t2,t4))
| xor(t2,t4) != t3
| xor(X,xor(t2,t4)) = xor(X,t3) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,xor(t2,t4)),xor(X,xor(t2,t4))) ),[1,1],$fot(t3)]]) ).
cnf(refute_0_9683,plain,
( xor(t2,t4) != t3
| xor(X,xor(t2,t4)) = xor(X,t3) ),
inference(resolve,[$cnf( $equal(xor(X,xor(t2,t4)),xor(X,xor(t2,t4))) )],[refute_0_9681,refute_0_9682]) ).
cnf(refute_0_9684,plain,
xor(X,xor(t2,t4)) = xor(X,t3),
inference(resolve,[$cnf( $equal(xor(t2,t4),t3) )],[refute_0_9610,refute_0_9683]) ).
cnf(refute_0_9685,plain,
( xor(X,xor(t2,t4)) != xor(X,t3)
| xor(X,xor(t2,t4)) != xor(t2,xor(t4,X))
| xor(X,t3) = xor(t2,xor(t4,X)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,xor(t2,t4)),xor(t2,xor(t4,X))) ),[0],$fot(xor(X,t3))]]) ).
cnf(refute_0_9686,plain,
( xor(X,xor(t2,t4)) != xor(t2,xor(t4,X))
| xor(X,t3) = xor(t2,xor(t4,X)) ),
inference(resolve,[$cnf( $equal(xor(X,xor(t2,t4)),xor(X,t3)) )],[refute_0_9684,refute_0_9685]) ).
cnf(refute_0_9687,plain,
xor(X,t3) = xor(t2,xor(t4,X)),
inference(resolve,[$cnf( $equal(xor(X,xor(t2,t4)),xor(t2,xor(t4,X))) )],[refute_0_9680,refute_0_9686]) ).
cnf(refute_0_9688,plain,
( xor(X,t3) != xor(t2,xor(t4,X))
| xor(t2,xor(t4,X)) = xor(X,t3) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X,t3))),bind(Y0,$fot(xor(t2,xor(t4,X))))]]) ).
cnf(refute_0_9689,plain,
xor(t2,xor(t4,X)) = xor(X,t3),
inference(resolve,[$cnf( $equal(xor(X,t3),xor(t2,xor(t4,X))) )],[refute_0_9687,refute_0_9688]) ).
cnf(refute_0_9690,plain,
xor(t2,xor(t4,xor(X_333,and(t2,t4)))) = xor(xor(X_333,and(t2,t4)),t3),
inference(subst,[],[refute_0_9689:[bind(X,$fot(xor(X_333,and(t2,t4))))]]) ).
cnf(refute_0_9691,plain,
( xor(t2,xor(t4,xor(X_333,and(t2,t4)))) != xor(xor(X_333,and(t2,t4)),t3)
| xor(xor(X_333,and(t2,t4)),t3) != xor(t3,xor(X_333,and(t2,t4)))
| xor(t2,xor(t4,xor(X_333,and(t2,t4)))) = xor(t3,xor(X_333,and(t2,t4))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,xor(t4,xor(X_333,and(t2,t4)))))),bind(Y0,$fot(xor(xor(X_333,and(t2,t4)),t3))),bind(Z0,$fot(xor(t3,xor(X_333,and(t2,t4)))))]]) ).
cnf(refute_0_9692,plain,
( xor(xor(X_333,and(t2,t4)),t3) != xor(t3,xor(X_333,and(t2,t4)))
| xor(t2,xor(t4,xor(X_333,and(t2,t4)))) = xor(t3,xor(X_333,and(t2,t4))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t4,xor(X_333,and(t2,t4)))),xor(xor(X_333,and(t2,t4)),t3)) )],[refute_0_9690,refute_0_9691]) ).
cnf(refute_0_9693,plain,
xor(t2,xor(t4,xor(X_333,and(t2,t4)))) = xor(t3,xor(X_333,and(t2,t4))),
inference(resolve,[$cnf( $equal(xor(xor(X_333,and(t2,t4)),t3),xor(t3,xor(X_333,and(t2,t4)))) )],[refute_0_9634,refute_0_9692]) ).
cnf(refute_0_9694,plain,
( xor(t2,xor(t4,xor(X_333,and(t2,t4)))) != xor(t3,xor(X_333,and(t2,t4)))
| xor(t3,xor(X_333,and(t2,t4))) != not(xor(t3,xor(X_333,t3)))
| xor(t2,xor(t4,xor(X_333,and(t2,t4)))) = not(xor(t3,xor(X_333,t3))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,xor(t4,xor(X_333,and(t2,t4)))))),bind(Y0,$fot(xor(t3,xor(X_333,and(t2,t4))))),bind(Z0,$fot(not(xor(t3,xor(X_333,t3)))))]]) ).
cnf(refute_0_9695,plain,
( xor(t3,xor(X_333,and(t2,t4))) != not(xor(t3,xor(X_333,t3)))
| xor(t2,xor(t4,xor(X_333,and(t2,t4)))) = not(xor(t3,xor(X_333,t3))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t4,xor(X_333,and(t2,t4)))),xor(t3,xor(X_333,and(t2,t4)))) )],[refute_0_9693,refute_0_9694]) ).
cnf(refute_0_9696,plain,
xor(t2,xor(t4,xor(X_333,and(t2,t4)))) = not(xor(t3,xor(X_333,t3))),
inference(resolve,[$cnf( $equal(xor(t3,xor(X_333,and(t2,t4))),not(xor(t3,xor(X_333,t3)))) )],[refute_0_9633,refute_0_9695]) ).
cnf(refute_0_9697,plain,
( not(X_333) != xor(t2,xor(t4,xor(X_333,and(t2,t4))))
| xor(t2,xor(t4,xor(X_333,and(t2,t4)))) != not(xor(t3,xor(X_333,t3)))
| not(X_333) = not(xor(t3,xor(X_333,t3))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(X_333),not(xor(t3,xor(X_333,t3)))) ),[0],$fot(xor(t2,xor(t4,xor(X_333,and(t2,t4)))))]]) ).
cnf(refute_0_9698,plain,
( not(X_333) != xor(t2,xor(t4,xor(X_333,and(t2,t4))))
| not(X_333) = not(xor(t3,xor(X_333,t3))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t4,xor(X_333,and(t2,t4)))),not(xor(t3,xor(X_333,t3)))) )],[refute_0_9696,refute_0_9697]) ).
cnf(refute_0_9699,plain,
not(X_333) = not(xor(t3,xor(X_333,t3))),
inference(resolve,[$cnf( $equal(not(X_333),xor(t2,xor(t4,xor(X_333,and(t2,t4))))) )],[refute_0_9589,refute_0_9698]) ).
cnf(refute_0_9700,plain,
not(X_453) = not(xor(t3,xor(X_453,t3))),
inference(subst,[],[refute_0_9699:[bind(X_333,$fot(X_453))]]) ).
cnf(refute_0_9701,plain,
( not(X_453) != not(xor(t3,xor(X_453,t3)))
| not(xor(t3,xor(X_453,t3))) = not(X_453) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(X_453))),bind(Y0,$fot(not(xor(t3,xor(X_453,t3)))))]]) ).
cnf(refute_0_9702,plain,
not(xor(t3,xor(X_453,t3))) = not(X_453),
inference(resolve,[$cnf( $equal(not(X_453),not(xor(t3,xor(X_453,t3)))) )],[refute_0_9700,refute_0_9701]) ).
cnf(refute_0_9703,plain,
( and(t6,or(xor(t3,xor(X_453,t3)),not(cin))) != xor(t6,and(cin,not(xor(t3,xor(X_453,t3)))))
| not(xor(t3,xor(X_453,t3))) != not(X_453)
| and(t6,or(xor(t3,xor(X_453,t3)),not(cin))) = xor(t6,and(cin,not(X_453))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(xor(t3,xor(X_453,t3)),not(cin))),xor(t6,and(cin,not(xor(t3,xor(X_453,t3)))))) ),[1,1,1],$fot(not(X_453))]]) ).
cnf(refute_0_9704,plain,
( and(t6,or(xor(t3,xor(X_453,t3)),not(cin))) != xor(t6,and(cin,not(xor(t3,xor(X_453,t3)))))
| and(t6,or(xor(t3,xor(X_453,t3)),not(cin))) = xor(t6,and(cin,not(X_453))) ),
inference(resolve,[$cnf( $equal(not(xor(t3,xor(X_453,t3))),not(X_453)) )],[refute_0_9702,refute_0_9703]) ).
cnf(refute_0_9705,plain,
and(t6,or(xor(t3,xor(X_453,t3)),not(cin))) = xor(t6,and(cin,not(X_453))),
inference(resolve,[$cnf( $equal(and(t6,or(xor(t3,xor(X_453,t3)),not(cin))),xor(t6,and(cin,not(xor(t3,xor(X_453,t3)))))) )],[refute_0_9537,refute_0_9704]) ).
cnf(refute_0_9706,plain,
and(t6,or(xor(t3,xor(X_453,t3)),not(cin))) = and(t6,or(not(cin),xor(t3,xor(X_453,t3)))),
inference(subst,[],[refute_0_9437:[bind(X_388,$fot(xor(t3,xor(X_453,t3))))]]) ).
cnf(refute_0_9707,plain,
( and(t6,or(xor(t3,xor(X_453,t3)),not(cin))) != and(t6,or(not(cin),xor(t3,xor(X_453,t3))))
| and(t6,or(xor(t3,xor(X_453,t3)),not(cin))) != xor(t6,and(cin,not(X_453)))
| and(t6,or(not(cin),xor(t3,xor(X_453,t3)))) = xor(t6,and(cin,not(X_453))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(xor(t3,xor(X_453,t3)),not(cin))),xor(t6,and(cin,not(X_453)))) ),[0],$fot(and(t6,or(not(cin),xor(t3,xor(X_453,t3)))))]]) ).
cnf(refute_0_9708,plain,
( and(t6,or(xor(t3,xor(X_453,t3)),not(cin))) != xor(t6,and(cin,not(X_453)))
| and(t6,or(not(cin),xor(t3,xor(X_453,t3)))) = xor(t6,and(cin,not(X_453))) ),
inference(resolve,[$cnf( $equal(and(t6,or(xor(t3,xor(X_453,t3)),not(cin))),and(t6,or(not(cin),xor(t3,xor(X_453,t3))))) )],[refute_0_9706,refute_0_9707]) ).
cnf(refute_0_9709,plain,
xor(t6,and(cin,not(X_453))) = and(t6,or(X_453,not(cin))),
inference(subst,[],[refute_0_7535:[bind(X,$fot(X_453))]]) ).
cnf(refute_0_9710,plain,
( and(t6,or(not(cin),xor(t3,xor(X_453,t3)))) != xor(t6,and(cin,not(X_453)))
| xor(t6,and(cin,not(X_453))) != and(t6,or(X_453,not(cin)))
| and(t6,or(not(cin),xor(t3,xor(X_453,t3)))) = and(t6,or(X_453,not(cin))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,or(not(cin),xor(t3,xor(X_453,t3)))),and(t6,or(X_453,not(cin)))) ),[0],$fot(xor(t6,and(cin,not(X_453))))]]) ).
cnf(refute_0_9711,plain,
( and(t6,or(not(cin),xor(t3,xor(X_453,t3)))) != xor(t6,and(cin,not(X_453)))
| and(t6,or(not(cin),xor(t3,xor(X_453,t3)))) = and(t6,or(X_453,not(cin))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,not(X_453))),and(t6,or(X_453,not(cin)))) )],[refute_0_9709,refute_0_9710]) ).
cnf(refute_0_9712,plain,
( and(t6,or(xor(t3,xor(X_453,t3)),not(cin))) != xor(t6,and(cin,not(X_453)))
| and(t6,or(not(cin),xor(t3,xor(X_453,t3)))) = and(t6,or(X_453,not(cin))) ),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(t3,xor(X_453,t3)))),xor(t6,and(cin,not(X_453)))) )],[refute_0_9708,refute_0_9711]) ).
cnf(refute_0_9713,plain,
and(t6,or(not(cin),xor(t3,xor(X_453,t3)))) = and(t6,or(X_453,not(cin))),
inference(resolve,[$cnf( $equal(and(t6,or(xor(t3,xor(X_453,t3)),not(cin))),xor(t6,and(cin,not(X_453)))) )],[refute_0_9705,refute_0_9712]) ).
cnf(refute_0_9714,plain,
not(not(xor(t3,xor(X_453,t3)))) = xor(t3,xor(X_453,t3)),
inference(subst,[],[not_involution:[bind(X,$fot(xor(t3,xor(X_453,t3))))]]) ).
cnf(refute_0_9715,plain,
( not(not(xor(t3,xor(X_453,t3)))) != xor(t3,xor(X_453,t3))
| not(xor(t3,xor(X_453,t3))) != not(X_453)
| not(not(X_453)) = xor(t3,xor(X_453,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(xor(t3,xor(X_453,t3)))),xor(t3,xor(X_453,t3))) ),[0,0],$fot(not(X_453))]]) ).
cnf(refute_0_9716,plain,
( not(not(xor(t3,xor(X_453,t3)))) != xor(t3,xor(X_453,t3))
| not(not(X_453)) = xor(t3,xor(X_453,t3)) ),
inference(resolve,[$cnf( $equal(not(xor(t3,xor(X_453,t3))),not(X_453)) )],[refute_0_9702,refute_0_9715]) ).
cnf(refute_0_9717,plain,
not(not(X_453)) = xor(t3,xor(X_453,t3)),
inference(resolve,[$cnf( $equal(not(not(xor(t3,xor(X_453,t3)))),xor(t3,xor(X_453,t3))) )],[refute_0_9714,refute_0_9716]) ).
cnf(refute_0_9718,plain,
not(not(X_453)) = X_453,
inference(subst,[],[not_involution:[bind(X,$fot(X_453))]]) ).
cnf(refute_0_9719,plain,
( not(not(X_453)) != X_453
| not(not(X_453)) != xor(t3,xor(X_453,t3))
| X_453 = xor(t3,xor(X_453,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(X_453)),xor(t3,xor(X_453,t3))) ),[0],$fot(X_453)]]) ).
cnf(refute_0_9720,plain,
( not(not(X_453)) != xor(t3,xor(X_453,t3))
| X_453 = xor(t3,xor(X_453,t3)) ),
inference(resolve,[$cnf( $equal(not(not(X_453)),X_453) )],[refute_0_9718,refute_0_9719]) ).
cnf(refute_0_9721,plain,
X_453 = xor(t3,xor(X_453,t3)),
inference(resolve,[$cnf( $equal(not(not(X_453)),xor(t3,xor(X_453,t3))) )],[refute_0_9717,refute_0_9720]) ).
cnf(refute_0_9722,plain,
( X_453 != xor(t3,xor(X_453,t3))
| xor(t3,xor(X_453,t3)) = X_453 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_453)),bind(Y0,$fot(xor(t3,xor(X_453,t3))))]]) ).
cnf(refute_0_9723,plain,
xor(t3,xor(X_453,t3)) = X_453,
inference(resolve,[$cnf( $equal(X_453,xor(t3,xor(X_453,t3))) )],[refute_0_9721,refute_0_9722]) ).
cnf(refute_0_9724,plain,
or(not(cin),xor(t3,xor(X_453,t3))) = or(not(cin),xor(t3,xor(X_453,t3))),
introduced(tautology,[refl,[$fot(or(not(cin),xor(t3,xor(X_453,t3))))]]) ).
cnf(refute_0_9725,plain,
( or(not(cin),xor(t3,xor(X_453,t3))) != or(not(cin),xor(t3,xor(X_453,t3)))
| xor(t3,xor(X_453,t3)) != X_453
| or(not(cin),xor(t3,xor(X_453,t3))) = or(not(cin),X_453) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(cin),xor(t3,xor(X_453,t3))),or(not(cin),xor(t3,xor(X_453,t3)))) ),[1,1],$fot(X_453)]]) ).
cnf(refute_0_9726,plain,
( xor(t3,xor(X_453,t3)) != X_453
| or(not(cin),xor(t3,xor(X_453,t3))) = or(not(cin),X_453) ),
inference(resolve,[$cnf( $equal(or(not(cin),xor(t3,xor(X_453,t3))),or(not(cin),xor(t3,xor(X_453,t3)))) )],[refute_0_9724,refute_0_9725]) ).
cnf(refute_0_9727,plain,
or(not(cin),xor(t3,xor(X_453,t3))) = or(not(cin),X_453),
inference(resolve,[$cnf( $equal(xor(t3,xor(X_453,t3)),X_453) )],[refute_0_9723,refute_0_9726]) ).
cnf(refute_0_9728,plain,
and(t6,or(not(cin),xor(t3,xor(X_453,t3)))) = and(t6,or(not(cin),xor(t3,xor(X_453,t3)))),
introduced(tautology,[refl,[$fot(and(t6,or(not(cin),xor(t3,xor(X_453,t3)))))]]) ).
cnf(refute_0_9729,plain,
( and(t6,or(not(cin),xor(t3,xor(X_453,t3)))) != and(t6,or(not(cin),xor(t3,xor(X_453,t3))))
| or(not(cin),xor(t3,xor(X_453,t3))) != or(not(cin),X_453)
| and(t6,or(not(cin),xor(t3,xor(X_453,t3)))) = and(t6,or(not(cin),X_453)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(not(cin),xor(t3,xor(X_453,t3)))),and(t6,or(not(cin),xor(t3,xor(X_453,t3))))) ),[1,1],$fot(or(not(cin),X_453))]]) ).
cnf(refute_0_9730,plain,
( or(not(cin),xor(t3,xor(X_453,t3))) != or(not(cin),X_453)
| and(t6,or(not(cin),xor(t3,xor(X_453,t3)))) = and(t6,or(not(cin),X_453)) ),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(t3,xor(X_453,t3)))),and(t6,or(not(cin),xor(t3,xor(X_453,t3))))) )],[refute_0_9728,refute_0_9729]) ).
cnf(refute_0_9731,plain,
and(t6,or(not(cin),xor(t3,xor(X_453,t3)))) = and(t6,or(not(cin),X_453)),
inference(resolve,[$cnf( $equal(or(not(cin),xor(t3,xor(X_453,t3))),or(not(cin),X_453)) )],[refute_0_9727,refute_0_9730]) ).
cnf(refute_0_9732,plain,
( and(t6,or(not(cin),xor(t3,xor(X_453,t3)))) != and(t6,or(X_453,not(cin)))
| and(t6,or(not(cin),xor(t3,xor(X_453,t3)))) != and(t6,or(not(cin),X_453))
| and(t6,or(not(cin),X_453)) = and(t6,or(X_453,not(cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(not(cin),xor(t3,xor(X_453,t3)))),and(t6,or(X_453,not(cin)))) ),[0],$fot(and(t6,or(not(cin),X_453)))]]) ).
cnf(refute_0_9733,plain,
( and(t6,or(not(cin),xor(t3,xor(X_453,t3)))) != and(t6,or(X_453,not(cin)))
| and(t6,or(not(cin),X_453)) = and(t6,or(X_453,not(cin))) ),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(t3,xor(X_453,t3)))),and(t6,or(not(cin),X_453))) )],[refute_0_9731,refute_0_9732]) ).
cnf(refute_0_9734,plain,
and(t6,or(not(cin),X_453)) = and(t6,or(X_453,not(cin))),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(t3,xor(X_453,t3)))),and(t6,or(X_453,not(cin)))) )],[refute_0_9713,refute_0_9733]) ).
cnf(refute_0_9735,plain,
( and(t6,or(not(cin),X_453)) != and(t6,or(X_453,not(cin)))
| and(t6,or(X_453,not(cin))) = and(t6,or(not(cin),X_453)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t6,or(not(cin),X_453)))),bind(Y0,$fot(and(t6,or(X_453,not(cin)))))]]) ).
cnf(refute_0_9736,plain,
and(t6,or(X_453,not(cin))) = and(t6,or(not(cin),X_453)),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),X_453)),and(t6,or(X_453,not(cin)))) )],[refute_0_9734,refute_0_9735]) ).
cnf(refute_0_9737,plain,
and(t6,or(or(t1,xor(cin,t6)),not(cin))) = and(t6,or(not(cin),or(t1,xor(cin,t6)))),
inference(subst,[],[refute_0_9736:[bind(X_453,$fot(or(t1,xor(cin,t6))))]]) ).
cnf(refute_0_9738,plain,
( and(t6,or(not(cin),or(t1,xor(cin,t6)))) != and(t6,or(t1,not(cin)))
| and(t6,or(or(t1,xor(cin,t6)),not(cin))) != and(t6,or(not(cin),or(t1,xor(cin,t6))))
| and(t6,or(or(t1,xor(cin,t6)),not(cin))) = and(t6,or(t1,not(cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t6,or(or(t1,xor(cin,t6)),not(cin))))),bind(Y0,$fot(and(t6,or(not(cin),or(t1,xor(cin,t6)))))),bind(Z0,$fot(and(t6,or(t1,not(cin)))))]]) ).
cnf(refute_0_9739,plain,
( and(t6,or(not(cin),or(t1,xor(cin,t6)))) != and(t6,or(t1,not(cin)))
| and(t6,or(or(t1,xor(cin,t6)),not(cin))) = and(t6,or(t1,not(cin))) ),
inference(resolve,[$cnf( $equal(and(t6,or(or(t1,xor(cin,t6)),not(cin))),and(t6,or(not(cin),or(t1,xor(cin,t6))))) )],[refute_0_9737,refute_0_9738]) ).
cnf(refute_0_9740,plain,
and(t6,or(or(t1,xor(cin,t6)),not(cin))) = and(t6,or(t1,not(cin))),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),or(t1,xor(cin,t6)))),and(t6,or(t1,not(cin)))) )],[refute_0_9536,refute_0_9739]) ).
cnf(refute_0_9741,plain,
( and(t6,or(or(t1,xor(cin,t6)),not(cin))) != and(t6,or(t1,not(cin)))
| and(t6,or(or(t1,xor(cin,t6)),not(cin))) != xor(t6,and(cin,and(b,xor(t2,t7))))
| and(t6,or(t1,not(cin))) = xor(t6,and(cin,and(b,xor(t2,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(or(t1,xor(cin,t6)),not(cin))),xor(t6,and(cin,and(b,xor(t2,t7))))) ),[0],$fot(and(t6,or(t1,not(cin))))]]) ).
cnf(refute_0_9742,plain,
( and(t6,or(or(t1,xor(cin,t6)),not(cin))) != xor(t6,and(cin,and(b,xor(t2,t7))))
| and(t6,or(t1,not(cin))) = xor(t6,and(cin,and(b,xor(t2,t7)))) ),
inference(resolve,[$cnf( $equal(and(t6,or(or(t1,xor(cin,t6)),not(cin))),and(t6,or(t1,not(cin)))) )],[refute_0_9740,refute_0_9741]) ).
cnf(refute_0_9743,plain,
and(b,and(xor(t2,t7),cin)) = and(b,and(cin,xor(t2,t7))),
inference(subst,[],[refute_0_2637:[bind(X_220,$fot(b)),bind(X_221,$fot(cin)),bind(X_222,$fot(xor(t2,t7)))]]) ).
cnf(refute_0_9744,plain,
xor(t6,and(b,and(xor(t2,t7),cin))) = xor(t6,and(b,and(xor(t2,t7),cin))),
introduced(tautology,[refl,[$fot(xor(t6,and(b,and(xor(t2,t7),cin))))]]) ).
cnf(refute_0_9745,plain,
( and(b,and(xor(t2,t7),cin)) != and(b,and(cin,xor(t2,t7)))
| xor(t6,and(b,and(xor(t2,t7),cin))) != xor(t6,and(b,and(xor(t2,t7),cin)))
| xor(t6,and(b,and(xor(t2,t7),cin))) = xor(t6,and(b,and(cin,xor(t2,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,and(b,and(xor(t2,t7),cin))),xor(t6,and(b,and(xor(t2,t7),cin)))) ),[1,1],$fot(and(b,and(cin,xor(t2,t7))))]]) ).
cnf(refute_0_9746,plain,
( and(b,and(xor(t2,t7),cin)) != and(b,and(cin,xor(t2,t7)))
| xor(t6,and(b,and(xor(t2,t7),cin))) = xor(t6,and(b,and(cin,xor(t2,t7)))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(b,and(xor(t2,t7),cin))),xor(t6,and(b,and(xor(t2,t7),cin)))) )],[refute_0_9744,refute_0_9745]) ).
cnf(refute_0_9747,plain,
xor(t6,and(b,and(xor(t2,t7),cin))) = xor(t6,and(b,and(cin,xor(t2,t7)))),
inference(resolve,[$cnf( $equal(and(b,and(xor(t2,t7),cin)),and(b,and(cin,xor(t2,t7)))) )],[refute_0_9743,refute_0_9746]) ).
cnf(refute_0_9748,plain,
xor(t6,and(cin,and(b,xor(t2,t7)))) = xor(t6,and(b,and(xor(t2,t7),cin))),
inference(subst,[],[refute_0_8123:[bind(X_220,$fot(b)),bind(X_221,$fot(xor(t2,t7)))]]) ).
cnf(refute_0_9749,plain,
( xor(t6,and(b,and(xor(t2,t7),cin))) != xor(t6,and(b,and(cin,xor(t2,t7))))
| xor(t6,and(cin,and(b,xor(t2,t7)))) != xor(t6,and(b,and(xor(t2,t7),cin)))
| xor(t6,and(cin,and(b,xor(t2,t7)))) = xor(t6,and(b,and(cin,xor(t2,t7)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,and(cin,and(b,xor(t2,t7)))))),bind(Y0,$fot(xor(t6,and(b,and(xor(t2,t7),cin))))),bind(Z0,$fot(xor(t6,and(b,and(cin,xor(t2,t7))))))]]) ).
cnf(refute_0_9750,plain,
( xor(t6,and(b,and(xor(t2,t7),cin))) != xor(t6,and(b,and(cin,xor(t2,t7))))
| xor(t6,and(cin,and(b,xor(t2,t7)))) = xor(t6,and(b,and(cin,xor(t2,t7)))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,and(b,xor(t2,t7)))),xor(t6,and(b,and(xor(t2,t7),cin)))) )],[refute_0_9748,refute_0_9749]) ).
cnf(refute_0_9751,plain,
xor(t6,and(cin,and(b,xor(t2,t7)))) = xor(t6,and(b,and(cin,xor(t2,t7)))),
inference(resolve,[$cnf( $equal(xor(t6,and(b,and(xor(t2,t7),cin))),xor(t6,and(b,and(cin,xor(t2,t7))))) )],[refute_0_9747,refute_0_9750]) ).
cnf(refute_0_9752,plain,
( and(t6,or(t1,not(cin))) != xor(t6,and(cin,and(b,xor(t2,t7))))
| xor(t6,and(cin,and(b,xor(t2,t7)))) != xor(t6,and(b,and(cin,xor(t2,t7))))
| and(t6,or(t1,not(cin))) = xor(t6,and(b,and(cin,xor(t2,t7)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,or(t1,not(cin))),xor(t6,and(b,and(cin,xor(t2,t7))))) ),[0],$fot(xor(t6,and(cin,and(b,xor(t2,t7)))))]]) ).
cnf(refute_0_9753,plain,
( and(t6,or(t1,not(cin))) != xor(t6,and(cin,and(b,xor(t2,t7))))
| and(t6,or(t1,not(cin))) = xor(t6,and(b,and(cin,xor(t2,t7)))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,and(b,xor(t2,t7)))),xor(t6,and(b,and(cin,xor(t2,t7))))) )],[refute_0_9751,refute_0_9752]) ).
cnf(refute_0_9754,plain,
( and(t6,or(or(t1,xor(cin,t6)),not(cin))) != xor(t6,and(cin,and(b,xor(t2,t7))))
| and(t6,or(t1,not(cin))) = xor(t6,and(b,and(cin,xor(t2,t7)))) ),
inference(resolve,[$cnf( $equal(and(t6,or(t1,not(cin))),xor(t6,and(cin,and(b,xor(t2,t7))))) )],[refute_0_9742,refute_0_9753]) ).
cnf(refute_0_9755,plain,
and(t6,or(t1,not(cin))) = xor(t6,and(b,and(cin,xor(t2,t7)))),
inference(resolve,[$cnf( $equal(and(t6,or(or(t1,xor(cin,t6)),not(cin))),xor(t6,and(cin,and(b,xor(t2,t7))))) )],[refute_0_9524,refute_0_9754]) ).
cnf(refute_0_9756,plain,
( and(t6,or(t1,not(cin))) != xor(t6,and(b,and(cin,xor(t2,t7))))
| xor(t6,and(b,and(cin,xor(t2,t7)))) = and(t6,or(t1,not(cin))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t6,or(t1,not(cin))))),bind(Y0,$fot(xor(t6,and(b,and(cin,xor(t2,t7))))))]]) ).
cnf(refute_0_9757,plain,
xor(t6,and(b,and(cin,xor(t2,t7)))) = and(t6,or(t1,not(cin))),
inference(resolve,[$cnf( $equal(and(t6,or(t1,not(cin))),xor(t6,and(b,and(cin,xor(t2,t7))))) )],[refute_0_9755,refute_0_9756]) ).
cnf(refute_0_9758,plain,
( xor(t6,and(b,and(cin,xor(t2,t7)))) != and(t6,or(t1,not(cin)))
| xor(t6,xor(t6,and(b,and(cin,xor(t2,t7))))) != and(b,and(cin,xor(t2,t7)))
| xor(t6,and(t6,or(t1,not(cin)))) = and(b,and(cin,xor(t2,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,xor(t6,and(b,and(cin,xor(t2,t7))))),and(b,and(cin,xor(t2,t7)))) ),[0,1],$fot(and(t6,or(t1,not(cin))))]]) ).
cnf(refute_0_9759,plain,
( xor(t6,xor(t6,and(b,and(cin,xor(t2,t7))))) != and(b,and(cin,xor(t2,t7)))
| xor(t6,and(t6,or(t1,not(cin)))) = and(b,and(cin,xor(t2,t7))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(b,and(cin,xor(t2,t7)))),and(t6,or(t1,not(cin)))) )],[refute_0_9757,refute_0_9758]) ).
cnf(refute_0_9760,plain,
xor(t6,and(t6,or(t1,not(cin)))) = and(b,and(cin,xor(t2,t7))),
inference(resolve,[$cnf( $equal(xor(t6,xor(t6,and(b,and(cin,xor(t2,t7))))),and(b,and(cin,xor(t2,t7)))) )],[refute_0_9512,refute_0_9759]) ).
cnf(refute_0_9761,plain,
xor(t6,xor(t6,and(cin,not(X)))) = and(cin,not(X)),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(t6)),bind(X_335,$fot(and(cin,not(X))))]]) ).
cnf(refute_0_9762,plain,
( xor(t6,and(cin,not(X))) != and(t6,or(X,not(cin)))
| xor(t6,xor(t6,and(cin,not(X)))) != and(cin,not(X))
| xor(t6,and(t6,or(X,not(cin)))) = and(cin,not(X)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,xor(t6,and(cin,not(X)))),and(cin,not(X))) ),[0,1],$fot(and(t6,or(X,not(cin))))]]) ).
cnf(refute_0_9763,plain,
( xor(t6,xor(t6,and(cin,not(X)))) != and(cin,not(X))
| xor(t6,and(t6,or(X,not(cin)))) = and(cin,not(X)) ),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,not(X))),and(t6,or(X,not(cin)))) )],[refute_0_7535,refute_0_9762]) ).
cnf(refute_0_9764,plain,
xor(t6,and(t6,or(X,not(cin)))) = and(cin,not(X)),
inference(resolve,[$cnf( $equal(xor(t6,xor(t6,and(cin,not(X)))),and(cin,not(X))) )],[refute_0_9761,refute_0_9763]) ).
cnf(refute_0_9765,plain,
xor(t6,and(t6,or(t1,not(cin)))) = and(cin,not(t1)),
inference(subst,[],[refute_0_9764:[bind(X,$fot(t1))]]) ).
cnf(refute_0_9766,plain,
( xor(t6,and(t6,or(t1,not(cin)))) != and(b,and(cin,xor(t2,t7)))
| xor(t6,and(t6,or(t1,not(cin)))) != and(cin,not(t1))
| and(cin,not(t1)) = and(b,and(cin,xor(t2,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,and(t6,or(t1,not(cin)))),and(b,and(cin,xor(t2,t7)))) ),[0],$fot(and(cin,not(t1)))]]) ).
cnf(refute_0_9767,plain,
( xor(t6,and(t6,or(t1,not(cin)))) != and(b,and(cin,xor(t2,t7)))
| and(cin,not(t1)) = and(b,and(cin,xor(t2,t7))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(t6,or(t1,not(cin)))),and(cin,not(t1))) )],[refute_0_9765,refute_0_9766]) ).
cnf(refute_0_9768,plain,
and(cin,not(t1)) = and(b,and(cin,xor(t2,t7))),
inference(resolve,[$cnf( $equal(xor(t6,and(t6,or(t1,not(cin)))),and(b,and(cin,xor(t2,t7)))) )],[refute_0_9760,refute_0_9767]) ).
cnf(refute_0_9769,plain,
( and(cin,not(t1)) != and(b,and(cin,xor(t2,t7)))
| and(b,and(cin,xor(t2,t7))) = and(cin,not(t1)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(cin,not(t1)))),bind(Y0,$fot(and(b,and(cin,xor(t2,t7)))))]]) ).
cnf(refute_0_9770,plain,
and(b,and(cin,xor(t2,t7))) = and(cin,not(t1)),
inference(resolve,[$cnf( $equal(and(cin,not(t1)),and(b,and(cin,xor(t2,t7)))) )],[refute_0_9768,refute_0_9769]) ).
cnf(refute_0_9771,plain,
( and(and(cin,xor(t2,t7)),and(b,and(cin,xor(t2,t7)))) != and(and(cin,xor(t2,t7)),b)
| and(b,and(cin,xor(t2,t7))) != and(cin,not(t1))
| and(and(cin,xor(t2,t7)),and(cin,not(t1))) = and(and(cin,xor(t2,t7)),b) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(cin,xor(t2,t7)),and(b,and(cin,xor(t2,t7)))),and(and(cin,xor(t2,t7)),b)) ),[0,1],$fot(and(cin,not(t1)))]]) ).
cnf(refute_0_9772,plain,
( and(and(cin,xor(t2,t7)),and(b,and(cin,xor(t2,t7)))) != and(and(cin,xor(t2,t7)),b)
| and(and(cin,xor(t2,t7)),and(cin,not(t1))) = and(and(cin,xor(t2,t7)),b) ),
inference(resolve,[$cnf( $equal(and(b,and(cin,xor(t2,t7))),and(cin,not(t1))) )],[refute_0_9770,refute_0_9771]) ).
cnf(refute_0_9773,plain,
and(and(cin,xor(t2,t7)),and(cin,not(t1))) = and(and(cin,xor(t2,t7)),b),
inference(resolve,[$cnf( $equal(and(and(cin,xor(t2,t7)),and(b,and(cin,xor(t2,t7)))),and(and(cin,xor(t2,t7)),b)) )],[refute_0_9511,refute_0_9772]) ).
cnf(refute_0_9774,plain,
and(not(or(X_624,t7)),or(cin,not(or(X_624,t7)))) = not(or(X_624,t7)),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(not(or(X_624,t7)))),bind(X_20,$fot(cin))]]) ).
cnf(refute_0_9775,plain,
or(or(cin,not(t7)),X_39) = or(cin,or(not(t7),X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(cin)),bind(Y,$fot(not(t7))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_9776,plain,
( or(cin,not(t7)) != cin
| or(or(cin,not(t7)),X_39) != or(cin,or(not(t7),X_39))
| or(cin,X_39) = or(cin,or(not(t7),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(cin,not(t7)),X_39),or(cin,or(not(t7),X_39))) ),[0,0],$fot(cin)]]) ).
cnf(refute_0_9777,plain,
( or(or(cin,not(t7)),X_39) != or(cin,or(not(t7),X_39))
| or(cin,X_39) = or(cin,or(not(t7),X_39)) ),
inference(resolve,[$cnf( $equal(or(cin,not(t7)),cin) )],[refute_0_736,refute_0_9776]) ).
cnf(refute_0_9778,plain,
or(cin,X_39) = or(cin,or(not(t7),X_39)),
inference(resolve,[$cnf( $equal(or(or(cin,not(t7)),X_39),or(cin,or(not(t7),X_39))) )],[refute_0_9775,refute_0_9777]) ).
cnf(refute_0_9779,plain,
or(cin,and(X_14,not(t7))) = or(cin,or(not(t7),and(X_14,not(t7)))),
inference(subst,[],[refute_0_9778:[bind(X_39,$fot(and(X_14,not(t7))))]]) ).
cnf(refute_0_9780,plain,
or(not(t7),and(X_14,not(t7))) = not(t7),
inference(subst,[],[refute_0_222:[bind(X_13,$fot(not(t7)))]]) ).
cnf(refute_0_9781,plain,
( or(cin,and(X_14,not(t7))) != or(cin,or(not(t7),and(X_14,not(t7))))
| or(not(t7),and(X_14,not(t7))) != not(t7)
| or(cin,and(X_14,not(t7))) = or(cin,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,and(X_14,not(t7))),or(cin,or(not(t7),and(X_14,not(t7))))) ),[1,1],$fot(not(t7))]]) ).
cnf(refute_0_9782,plain,
( or(cin,and(X_14,not(t7))) != or(cin,or(not(t7),and(X_14,not(t7))))
| or(cin,and(X_14,not(t7))) = or(cin,not(t7)) ),
inference(resolve,[$cnf( $equal(or(not(t7),and(X_14,not(t7))),not(t7)) )],[refute_0_9780,refute_0_9781]) ).
cnf(refute_0_9783,plain,
or(cin,and(X_14,not(t7))) = or(cin,not(t7)),
inference(resolve,[$cnf( $equal(or(cin,and(X_14,not(t7))),or(cin,or(not(t7),and(X_14,not(t7))))) )],[refute_0_9779,refute_0_9782]) ).
cnf(refute_0_9784,plain,
( or(cin,and(X_14,not(t7))) != or(cin,not(t7))
| or(cin,not(t7)) != cin
| or(cin,and(X_14,not(t7))) = cin ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(cin,and(X_14,not(t7))),cin) ),[0],$fot(or(cin,not(t7)))]]) ).
cnf(refute_0_9785,plain,
( or(cin,and(X_14,not(t7))) != or(cin,not(t7))
| or(cin,and(X_14,not(t7))) = cin ),
inference(resolve,[$cnf( $equal(or(cin,not(t7)),cin) )],[refute_0_736,refute_0_9784]) ).
cnf(refute_0_9786,plain,
or(cin,and(X_14,not(t7))) = cin,
inference(resolve,[$cnf( $equal(or(cin,and(X_14,not(t7))),or(cin,not(t7))) )],[refute_0_9783,refute_0_9785]) ).
cnf(refute_0_9787,plain,
or(cin,and(not(X),not(t7))) = cin,
inference(subst,[],[refute_0_9786:[bind(X_14,$fot(not(X)))]]) ).
cnf(refute_0_9788,plain,
( and(not(X),not(t7)) != not(or(X,t7))
| or(cin,and(not(X),not(t7))) != cin
| or(cin,not(or(X,t7))) = cin ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,and(not(X),not(t7))),cin) ),[0,1],$fot(not(or(X,t7)))]]) ).
cnf(refute_0_9789,plain,
( or(cin,and(not(X),not(t7))) != cin
| or(cin,not(or(X,t7))) = cin ),
inference(resolve,[$cnf( $equal(and(not(X),not(t7)),not(or(X,t7))) )],[refute_0_8690,refute_0_9788]) ).
cnf(refute_0_9790,plain,
or(cin,not(or(X,t7))) = cin,
inference(resolve,[$cnf( $equal(or(cin,and(not(X),not(t7))),cin) )],[refute_0_9787,refute_0_9789]) ).
cnf(refute_0_9791,plain,
or(cin,not(or(X_624,t7))) = cin,
inference(subst,[],[refute_0_9790:[bind(X,$fot(X_624))]]) ).
cnf(refute_0_9792,plain,
( and(not(or(X_624,t7)),or(cin,not(or(X_624,t7)))) != not(or(X_624,t7))
| or(cin,not(or(X_624,t7))) != cin
| and(not(or(X_624,t7)),cin) = not(or(X_624,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(or(X_624,t7)),or(cin,not(or(X_624,t7)))),not(or(X_624,t7))) ),[0,1],$fot(cin)]]) ).
cnf(refute_0_9793,plain,
( and(not(or(X_624,t7)),or(cin,not(or(X_624,t7)))) != not(or(X_624,t7))
| and(not(or(X_624,t7)),cin) = not(or(X_624,t7)) ),
inference(resolve,[$cnf( $equal(or(cin,not(or(X_624,t7))),cin) )],[refute_0_9791,refute_0_9792]) ).
cnf(refute_0_9794,plain,
and(not(or(X_624,t7)),cin) = not(or(X_624,t7)),
inference(resolve,[$cnf( $equal(and(not(or(X_624,t7)),or(cin,not(or(X_624,t7)))),not(or(X_624,t7))) )],[refute_0_9774,refute_0_9793]) ).
cnf(refute_0_9795,plain,
and(not(or(X_624,t7)),cin) = and(cin,not(or(X_624,t7))),
inference(subst,[],[refute_0_116:[bind(X,$fot(cin)),bind(Y,$fot(not(or(X_624,t7))))]]) ).
cnf(refute_0_9796,plain,
( and(not(or(X_624,t7)),cin) != and(cin,not(or(X_624,t7)))
| and(not(or(X_624,t7)),cin) != not(or(X_624,t7))
| and(cin,not(or(X_624,t7))) = not(or(X_624,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(or(X_624,t7)),cin),not(or(X_624,t7))) ),[0],$fot(and(cin,not(or(X_624,t7))))]]) ).
cnf(refute_0_9797,plain,
( and(not(or(X_624,t7)),cin) != not(or(X_624,t7))
| and(cin,not(or(X_624,t7))) = not(or(X_624,t7)) ),
inference(resolve,[$cnf( $equal(and(not(or(X_624,t7)),cin),and(cin,not(or(X_624,t7)))) )],[refute_0_9795,refute_0_9796]) ).
cnf(refute_0_9798,plain,
and(cin,not(or(X_624,t7))) = not(or(X_624,t7)),
inference(resolve,[$cnf( $equal(and(not(or(X_624,t7)),cin),not(or(X_624,t7))) )],[refute_0_9794,refute_0_9797]) ).
cnf(refute_0_9799,plain,
and(cin,not(or(t1,t7))) = not(or(t1,t7)),
inference(subst,[],[refute_0_9798:[bind(X_624,$fot(t1))]]) ).
cnf(refute_0_9800,plain,
not(or(not(xor(t2,t7)),t1)) = not(or(t1,not(xor(t2,t7)))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(t1)),bind(X_26,$fot(not(xor(t2,t7))))]]) ).
cnf(refute_0_9801,plain,
or(or(t1,not(b)),X_39) = or(t1,or(not(b),X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(t1)),bind(Y,$fot(not(b))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_9802,plain,
or(t1,and(t1,not(b))) = t1,
inference(subst,[],[or_absorption:[bind(X,$fot(t1)),bind(Y,$fot(not(b)))]]) ).
cnf(refute_0_9803,plain,
( and(t1,not(b)) != not(b)
| or(t1,and(t1,not(b))) != t1
| or(t1,not(b)) = t1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,and(t1,not(b))),t1) ),[0,1],$fot(not(b))]]) ).
cnf(refute_0_9804,plain,
( or(t1,and(t1,not(b))) != t1
| or(t1,not(b)) = t1 ),
inference(resolve,[$cnf( $equal(and(t1,not(b)),not(b)) )],[refute_0_1214,refute_0_9803]) ).
cnf(refute_0_9805,plain,
or(t1,not(b)) = t1,
inference(resolve,[$cnf( $equal(or(t1,and(t1,not(b))),t1) )],[refute_0_9802,refute_0_9804]) ).
cnf(refute_0_9806,plain,
( or(or(t1,not(b)),X_39) != or(t1,or(not(b),X_39))
| or(t1,not(b)) != t1
| or(t1,X_39) = or(t1,or(not(b),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t1,not(b)),X_39),or(t1,or(not(b),X_39))) ),[0,0],$fot(t1)]]) ).
cnf(refute_0_9807,plain,
( or(or(t1,not(b)),X_39) != or(t1,or(not(b),X_39))
| or(t1,X_39) = or(t1,or(not(b),X_39)) ),
inference(resolve,[$cnf( $equal(or(t1,not(b)),t1) )],[refute_0_9805,refute_0_9806]) ).
cnf(refute_0_9808,plain,
or(t1,X_39) = or(t1,or(not(b),X_39)),
inference(resolve,[$cnf( $equal(or(or(t1,not(b)),X_39),or(t1,or(not(b),X_39))) )],[refute_0_9801,refute_0_9807]) ).
cnf(refute_0_9809,plain,
or(t1,not(Y)) = or(t1,or(not(b),not(Y))),
inference(subst,[],[refute_0_9808:[bind(X_39,$fot(not(Y)))]]) ).
cnf(refute_0_9810,plain,
not(and(b,Y)) = or(not(b),not(Y)),
inference(subst,[],[and_demorgan:[bind(X,$fot(b))]]) ).
cnf(refute_0_9811,plain,
( not(and(b,Y)) != or(not(b),not(Y))
| or(not(b),not(Y)) = not(and(b,Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(b,Y)))),bind(Y0,$fot(or(not(b),not(Y))))]]) ).
cnf(refute_0_9812,plain,
or(not(b),not(Y)) = not(and(b,Y)),
inference(resolve,[$cnf( $equal(not(and(b,Y)),or(not(b),not(Y))) )],[refute_0_9810,refute_0_9811]) ).
cnf(refute_0_9813,plain,
( or(not(b),not(Y)) != not(and(b,Y))
| or(t1,not(Y)) != or(t1,or(not(b),not(Y)))
| or(t1,not(Y)) = or(t1,not(and(b,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,not(Y)),or(t1,or(not(b),not(Y)))) ),[1,1],$fot(not(and(b,Y)))]]) ).
cnf(refute_0_9814,plain,
( or(t1,not(Y)) != or(t1,or(not(b),not(Y)))
| or(t1,not(Y)) = or(t1,not(and(b,Y))) ),
inference(resolve,[$cnf( $equal(or(not(b),not(Y)),not(and(b,Y))) )],[refute_0_9812,refute_0_9813]) ).
cnf(refute_0_9815,plain,
or(t1,not(Y)) = or(t1,not(and(b,Y))),
inference(resolve,[$cnf( $equal(or(t1,not(Y)),or(t1,or(not(b),not(Y)))) )],[refute_0_9809,refute_0_9814]) ).
cnf(refute_0_9816,plain,
or(t1,not(and(b,xor(t2,t7)))) = or(t1,not(and(b,and(b,xor(t2,t7))))),
inference(subst,[],[refute_0_9815:[bind(Y,$fot(and(b,xor(t2,t7))))]]) ).
cnf(refute_0_9817,plain,
not(not(or(t1,xor(cin,t6)))) = or(t1,xor(cin,t6)),
inference(subst,[],[not_involution:[bind(X,$fot(or(t1,xor(cin,t6))))]]) ).
cnf(refute_0_9818,plain,
( not(not(or(t1,xor(cin,t6)))) != or(t1,xor(cin,t6))
| not(or(t1,xor(cin,t6))) != and(b,xor(t2,t7))
| not(and(b,xor(t2,t7))) = or(t1,xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(or(t1,xor(cin,t6)))),or(t1,xor(cin,t6))) ),[0,0],$fot(and(b,xor(t2,t7)))]]) ).
cnf(refute_0_9819,plain,
( not(not(or(t1,xor(cin,t6)))) != or(t1,xor(cin,t6))
| not(and(b,xor(t2,t7))) = or(t1,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(not(or(t1,xor(cin,t6))),and(b,xor(t2,t7))) )],[refute_0_9521,refute_0_9818]) ).
cnf(refute_0_9820,plain,
not(and(b,xor(t2,t7))) = or(t1,xor(cin,t6)),
inference(resolve,[$cnf( $equal(not(not(or(t1,xor(cin,t6)))),or(t1,xor(cin,t6))) )],[refute_0_9817,refute_0_9819]) ).
cnf(refute_0_9821,plain,
( not(and(b,xor(t2,t7))) != or(t1,xor(cin,t6))
| or(t1,not(and(b,xor(t2,t7)))) != or(t1,not(and(b,and(b,xor(t2,t7)))))
| or(t1,or(t1,xor(cin,t6))) = or(t1,not(and(b,and(b,xor(t2,t7))))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,not(and(b,xor(t2,t7)))),or(t1,not(and(b,and(b,xor(t2,t7)))))) ),[0,1],$fot(or(t1,xor(cin,t6)))]]) ).
cnf(refute_0_9822,plain,
( or(t1,not(and(b,xor(t2,t7)))) != or(t1,not(and(b,and(b,xor(t2,t7)))))
| or(t1,or(t1,xor(cin,t6))) = or(t1,not(and(b,and(b,xor(t2,t7))))) ),
inference(resolve,[$cnf( $equal(not(and(b,xor(t2,t7))),or(t1,xor(cin,t6))) )],[refute_0_9820,refute_0_9821]) ).
cnf(refute_0_9823,plain,
or(t1,or(t1,xor(cin,t6))) = or(t1,not(and(b,and(b,xor(t2,t7))))),
inference(resolve,[$cnf( $equal(or(t1,not(and(b,xor(t2,t7)))),or(t1,not(and(b,and(b,xor(t2,t7)))))) )],[refute_0_9816,refute_0_9822]) ).
cnf(refute_0_9824,plain,
or(or(X_38,X_38),X_39) = or(X_38,or(X_38,X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(X_38)),bind(Y,$fot(X_38)),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_9825,plain,
or(X_38,X_38) = X_38,
inference(subst,[],[or_idempotent:[bind(X,$fot(X_38))]]) ).
cnf(refute_0_9826,plain,
( or(X_38,X_38) != X_38
| or(or(X_38,X_38),X_39) != or(X_38,or(X_38,X_39))
| or(X_38,X_39) = or(X_38,or(X_38,X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(X_38,X_38),X_39),or(X_38,or(X_38,X_39))) ),[0,0],$fot(X_38)]]) ).
cnf(refute_0_9827,plain,
( or(or(X_38,X_38),X_39) != or(X_38,or(X_38,X_39))
| or(X_38,X_39) = or(X_38,or(X_38,X_39)) ),
inference(resolve,[$cnf( $equal(or(X_38,X_38),X_38) )],[refute_0_9825,refute_0_9826]) ).
cnf(refute_0_9828,plain,
or(X_38,X_39) = or(X_38,or(X_38,X_39)),
inference(resolve,[$cnf( $equal(or(or(X_38,X_38),X_39),or(X_38,or(X_38,X_39))) )],[refute_0_9824,refute_0_9827]) ).
cnf(refute_0_9829,plain,
( or(X_38,X_39) != or(X_38,or(X_38,X_39))
| or(X_38,or(X_38,X_39)) = or(X_38,X_39) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(X_38,X_39))),bind(Y0,$fot(or(X_38,or(X_38,X_39))))]]) ).
cnf(refute_0_9830,plain,
or(X_38,or(X_38,X_39)) = or(X_38,X_39),
inference(resolve,[$cnf( $equal(or(X_38,X_39),or(X_38,or(X_38,X_39))) )],[refute_0_9828,refute_0_9829]) ).
cnf(refute_0_9831,plain,
or(t1,or(t1,xor(cin,t6))) = or(t1,xor(cin,t6)),
inference(subst,[],[refute_0_9830:[bind(X_38,$fot(t1)),bind(X_39,$fot(xor(cin,t6)))]]) ).
cnf(refute_0_9832,plain,
( or(t1,or(t1,xor(cin,t6))) != or(t1,not(and(b,and(b,xor(t2,t7)))))
| or(t1,or(t1,xor(cin,t6))) != or(t1,xor(cin,t6))
| or(t1,xor(cin,t6)) = or(t1,not(and(b,and(b,xor(t2,t7))))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,or(t1,xor(cin,t6))),or(t1,not(and(b,and(b,xor(t2,t7)))))) ),[0],$fot(or(t1,xor(cin,t6)))]]) ).
cnf(refute_0_9833,plain,
( or(t1,or(t1,xor(cin,t6))) != or(t1,not(and(b,and(b,xor(t2,t7)))))
| or(t1,xor(cin,t6)) = or(t1,not(and(b,and(b,xor(t2,t7))))) ),
inference(resolve,[$cnf( $equal(or(t1,or(t1,xor(cin,t6))),or(t1,xor(cin,t6))) )],[refute_0_9831,refute_0_9832]) ).
cnf(refute_0_9834,plain,
( or(t1,not(Y)) != or(t1,not(and(b,Y)))
| or(t1,not(and(b,Y))) = or(t1,not(Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(t1,not(Y)))),bind(Y0,$fot(or(t1,not(and(b,Y)))))]]) ).
cnf(refute_0_9835,plain,
or(t1,not(and(b,Y))) = or(t1,not(Y)),
inference(resolve,[$cnf( $equal(or(t1,not(Y)),or(t1,not(and(b,Y)))) )],[refute_0_9815,refute_0_9834]) ).
cnf(refute_0_9836,plain,
or(t1,not(and(b,xor(t2,t7)))) = or(t1,not(xor(t2,t7))),
inference(subst,[],[refute_0_9835:[bind(Y,$fot(xor(t2,t7)))]]) ).
cnf(refute_0_9837,plain,
or(t1,not(and(b,and(b,xor(t2,t7))))) = or(t1,not(and(b,xor(t2,t7)))),
inference(subst,[],[refute_0_9835:[bind(Y,$fot(and(b,xor(t2,t7))))]]) ).
cnf(refute_0_9838,plain,
( or(t1,not(and(b,and(b,xor(t2,t7))))) != or(t1,not(and(b,xor(t2,t7))))
| or(t1,not(and(b,xor(t2,t7)))) != or(t1,not(xor(t2,t7)))
| or(t1,not(and(b,and(b,xor(t2,t7))))) = or(t1,not(xor(t2,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t1,not(and(b,and(b,xor(t2,t7))))))),bind(Y0,$fot(or(t1,not(and(b,xor(t2,t7)))))),bind(Z0,$fot(or(t1,not(xor(t2,t7)))))]]) ).
cnf(refute_0_9839,plain,
( or(t1,not(and(b,xor(t2,t7)))) != or(t1,not(xor(t2,t7)))
| or(t1,not(and(b,and(b,xor(t2,t7))))) = or(t1,not(xor(t2,t7))) ),
inference(resolve,[$cnf( $equal(or(t1,not(and(b,and(b,xor(t2,t7))))),or(t1,not(and(b,xor(t2,t7))))) )],[refute_0_9837,refute_0_9838]) ).
cnf(refute_0_9840,plain,
or(t1,not(and(b,and(b,xor(t2,t7))))) = or(t1,not(xor(t2,t7))),
inference(resolve,[$cnf( $equal(or(t1,not(and(b,xor(t2,t7)))),or(t1,not(xor(t2,t7)))) )],[refute_0_9836,refute_0_9839]) ).
cnf(refute_0_9841,plain,
( or(t1,not(and(b,and(b,xor(t2,t7))))) != or(t1,not(xor(t2,t7)))
| or(t1,xor(cin,t6)) != or(t1,not(and(b,and(b,xor(t2,t7)))))
| or(t1,xor(cin,t6)) = or(t1,not(xor(t2,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,xor(cin,t6)),or(t1,not(and(b,and(b,xor(t2,t7)))))) ),[1],$fot(or(t1,not(xor(t2,t7))))]]) ).
cnf(refute_0_9842,plain,
( or(t1,xor(cin,t6)) != or(t1,not(and(b,and(b,xor(t2,t7)))))
| or(t1,xor(cin,t6)) = or(t1,not(xor(t2,t7))) ),
inference(resolve,[$cnf( $equal(or(t1,not(and(b,and(b,xor(t2,t7))))),or(t1,not(xor(t2,t7)))) )],[refute_0_9840,refute_0_9841]) ).
cnf(refute_0_9843,plain,
( or(t1,or(t1,xor(cin,t6))) != or(t1,not(and(b,and(b,xor(t2,t7)))))
| or(t1,xor(cin,t6)) = or(t1,not(xor(t2,t7))) ),
inference(resolve,[$cnf( $equal(or(t1,xor(cin,t6)),or(t1,not(and(b,and(b,xor(t2,t7)))))) )],[refute_0_9833,refute_0_9842]) ).
cnf(refute_0_9844,plain,
or(t1,xor(cin,t6)) = or(t1,not(xor(t2,t7))),
inference(resolve,[$cnf( $equal(or(t1,or(t1,xor(cin,t6))),or(t1,not(and(b,and(b,xor(t2,t7)))))) )],[refute_0_9823,refute_0_9843]) ).
cnf(refute_0_9845,plain,
( or(t1,xor(cin,t6)) != or(t1,not(xor(t2,t7)))
| or(t1,not(xor(t2,t7))) = or(t1,xor(cin,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(t1,xor(cin,t6)))),bind(Y0,$fot(or(t1,not(xor(t2,t7)))))]]) ).
cnf(refute_0_9846,plain,
or(t1,not(xor(t2,t7))) = or(t1,xor(cin,t6)),
inference(resolve,[$cnf( $equal(or(t1,xor(cin,t6)),or(t1,not(xor(t2,t7)))) )],[refute_0_9844,refute_0_9845]) ).
cnf(refute_0_9847,plain,
( not(or(not(xor(t2,t7)),t1)) != not(or(t1,not(xor(t2,t7))))
| or(t1,not(xor(t2,t7))) != or(t1,xor(cin,t6))
| not(or(not(xor(t2,t7)),t1)) = not(or(t1,xor(cin,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(xor(t2,t7)),t1)),not(or(t1,not(xor(t2,t7))))) ),[1,0],$fot(or(t1,xor(cin,t6)))]]) ).
cnf(refute_0_9848,plain,
( not(or(not(xor(t2,t7)),t1)) != not(or(t1,not(xor(t2,t7))))
| not(or(not(xor(t2,t7)),t1)) = not(or(t1,xor(cin,t6))) ),
inference(resolve,[$cnf( $equal(or(t1,not(xor(t2,t7))),or(t1,xor(cin,t6))) )],[refute_0_9846,refute_0_9847]) ).
cnf(refute_0_9849,plain,
not(or(not(xor(t2,t7)),t1)) = not(or(t1,xor(cin,t6))),
inference(resolve,[$cnf( $equal(not(or(not(xor(t2,t7)),t1)),not(or(t1,not(xor(t2,t7))))) )],[refute_0_9800,refute_0_9848]) ).
cnf(refute_0_9850,plain,
not(or(t1,not(xor(t2,t7)))) = and(not(t1),xor(t2,t7)),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(t2,t7))),bind(X_25,$fot(t1))]]) ).
cnf(refute_0_9851,plain,
( not(or(not(xor(t2,t7)),t1)) != not(or(t1,not(xor(t2,t7))))
| not(or(t1,not(xor(t2,t7)))) != and(not(t1),xor(t2,t7))
| not(or(not(xor(t2,t7)),t1)) = and(not(t1),xor(t2,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(not(xor(t2,t7)),t1)))),bind(Y0,$fot(not(or(t1,not(xor(t2,t7)))))),bind(Z0,$fot(and(not(t1),xor(t2,t7))))]]) ).
cnf(refute_0_9852,plain,
( not(or(t1,not(xor(t2,t7)))) != and(not(t1),xor(t2,t7))
| not(or(not(xor(t2,t7)),t1)) = and(not(t1),xor(t2,t7)) ),
inference(resolve,[$cnf( $equal(not(or(not(xor(t2,t7)),t1)),not(or(t1,not(xor(t2,t7))))) )],[refute_0_9800,refute_0_9851]) ).
cnf(refute_0_9853,plain,
not(or(not(xor(t2,t7)),t1)) = and(not(t1),xor(t2,t7)),
inference(resolve,[$cnf( $equal(not(or(t1,not(xor(t2,t7)))),and(not(t1),xor(t2,t7))) )],[refute_0_9850,refute_0_9852]) ).
cnf(refute_0_9854,plain,
( not(or(not(xor(t2,t7)),t1)) != and(not(t1),xor(t2,t7))
| not(or(not(xor(t2,t7)),t1)) != not(or(t1,xor(cin,t6)))
| and(not(t1),xor(t2,t7)) = not(or(t1,xor(cin,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(xor(t2,t7)),t1)),not(or(t1,xor(cin,t6)))) ),[0],$fot(and(not(t1),xor(t2,t7)))]]) ).
cnf(refute_0_9855,plain,
( not(or(not(xor(t2,t7)),t1)) != not(or(t1,xor(cin,t6)))
| and(not(t1),xor(t2,t7)) = not(or(t1,xor(cin,t6))) ),
inference(resolve,[$cnf( $equal(not(or(not(xor(t2,t7)),t1)),and(not(t1),xor(t2,t7))) )],[refute_0_9853,refute_0_9854]) ).
cnf(refute_0_9856,plain,
( and(not(t1),xor(t2,t7)) != not(or(t1,xor(cin,t6)))
| not(or(t1,xor(cin,t6))) != and(b,xor(t2,t7))
| and(not(t1),xor(t2,t7)) = and(b,xor(t2,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(t1),xor(t2,t7)),and(b,xor(t2,t7))) ),[0],$fot(not(or(t1,xor(cin,t6))))]]) ).
cnf(refute_0_9857,plain,
( and(not(t1),xor(t2,t7)) != not(or(t1,xor(cin,t6)))
| and(not(t1),xor(t2,t7)) = and(b,xor(t2,t7)) ),
inference(resolve,[$cnf( $equal(not(or(t1,xor(cin,t6))),and(b,xor(t2,t7))) )],[refute_0_9521,refute_0_9856]) ).
cnf(refute_0_9858,plain,
( not(or(not(xor(t2,t7)),t1)) != not(or(t1,xor(cin,t6)))
| and(not(t1),xor(t2,t7)) = and(b,xor(t2,t7)) ),
inference(resolve,[$cnf( $equal(and(not(t1),xor(t2,t7)),not(or(t1,xor(cin,t6)))) )],[refute_0_9855,refute_0_9857]) ).
cnf(refute_0_9859,plain,
and(not(t1),xor(t2,t7)) = and(b,xor(t2,t7)),
inference(resolve,[$cnf( $equal(not(or(not(xor(t2,t7)),t1)),not(or(t1,xor(cin,t6)))) )],[refute_0_9849,refute_0_9858]) ).
cnf(refute_0_9860,plain,
and(and(t2,not(t1)),X_222) = and(t2,and(not(t1),X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(t2)),bind(Y,$fot(not(t1))),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_9861,plain,
( and(and(t2,not(t1)),X_222) != and(t2,and(not(t1),X_222))
| and(t2,not(t1)) != not(t1)
| and(not(t1),X_222) = and(t2,and(not(t1),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t2,not(t1)),X_222),and(t2,and(not(t1),X_222))) ),[0,0],$fot(not(t1))]]) ).
cnf(refute_0_9862,plain,
( and(and(t2,not(t1)),X_222) != and(t2,and(not(t1),X_222))
| and(not(t1),X_222) = and(t2,and(not(t1),X_222)) ),
inference(resolve,[$cnf( $equal(and(t2,not(t1)),not(t1)) )],[refute_0_504,refute_0_9861]) ).
cnf(refute_0_9863,plain,
and(not(t1),X_222) = and(t2,and(not(t1),X_222)),
inference(resolve,[$cnf( $equal(and(and(t2,not(t1)),X_222),and(t2,and(not(t1),X_222))) )],[refute_0_9860,refute_0_9862]) ).
cnf(refute_0_9864,plain,
and(not(t1),X_503) = and(t2,and(not(t1),X_503)),
inference(subst,[],[refute_0_9863:[bind(X_222,$fot(X_503))]]) ).
cnf(refute_0_9865,plain,
and(X_503,not(t1)) = and(not(t1),X_503),
inference(subst,[],[and_commutative:[bind(X,$fot(X_503)),bind(Y,$fot(not(t1)))]]) ).
cnf(refute_0_9866,plain,
( and(X_503,not(t1)) != and(not(t1),X_503)
| and(not(t1),X_503) = and(X_503,not(t1)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X_503,not(t1)))),bind(Y0,$fot(and(not(t1),X_503)))]]) ).
cnf(refute_0_9867,plain,
and(not(t1),X_503) = and(X_503,not(t1)),
inference(resolve,[$cnf( $equal(and(X_503,not(t1)),and(not(t1),X_503)) )],[refute_0_9865,refute_0_9866]) ).
cnf(refute_0_9868,plain,
( and(not(t1),X_503) != and(X_503,not(t1))
| and(not(t1),X_503) != and(t2,and(not(t1),X_503))
| and(not(t1),X_503) = and(t2,and(X_503,not(t1))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t1),X_503),and(t2,and(not(t1),X_503))) ),[1,1],$fot(and(X_503,not(t1)))]]) ).
cnf(refute_0_9869,plain,
( and(not(t1),X_503) != and(t2,and(not(t1),X_503))
| and(not(t1),X_503) = and(t2,and(X_503,not(t1))) ),
inference(resolve,[$cnf( $equal(and(not(t1),X_503),and(X_503,not(t1))) )],[refute_0_9867,refute_0_9868]) ).
cnf(refute_0_9870,plain,
and(not(t1),X_503) = and(t2,and(X_503,not(t1))),
inference(resolve,[$cnf( $equal(and(not(t1),X_503),and(t2,and(not(t1),X_503))) )],[refute_0_9864,refute_0_9869]) ).
cnf(refute_0_9871,plain,
and(not(t1),xor(t2,t7)) = and(t2,and(xor(t2,t7),not(t1))),
inference(subst,[],[refute_0_9870:[bind(X_503,$fot(xor(t2,t7)))]]) ).
cnf(refute_0_9872,plain,
( and(not(t1),xor(t2,t7)) != and(b,xor(t2,t7))
| and(not(t1),xor(t2,t7)) != and(t2,and(xor(t2,t7),not(t1)))
| and(b,xor(t2,t7)) = and(t2,and(xor(t2,t7),not(t1))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t1),xor(t2,t7)),and(t2,and(xor(t2,t7),not(t1)))) ),[0],$fot(and(b,xor(t2,t7)))]]) ).
cnf(refute_0_9873,plain,
( and(not(t1),xor(t2,t7)) != and(t2,and(xor(t2,t7),not(t1)))
| and(b,xor(t2,t7)) = and(t2,and(xor(t2,t7),not(t1))) ),
inference(resolve,[$cnf( $equal(and(not(t1),xor(t2,t7)),and(b,xor(t2,t7))) )],[refute_0_9859,refute_0_9872]) ).
cnf(refute_0_9874,plain,
and(b,xor(t2,t7)) = and(t2,and(xor(t2,t7),not(t1))),
inference(resolve,[$cnf( $equal(and(not(t1),xor(t2,t7)),and(t2,and(xor(t2,t7),not(t1)))) )],[refute_0_9871,refute_0_9873]) ).
cnf(refute_0_9875,plain,
not(or(X,or(t4,xor(a,t3)))) = and(not(X),not(or(t4,xor(a,t3)))),
inference(subst,[],[or_demorgan:[bind(Y,$fot(or(t4,xor(a,t3))))]]) ).
cnf(refute_0_9876,plain,
and(not(t4),or(a,t4)) = and(t2,and(t3,or(a,t4))),
inference(subst,[],[refute_0_611:[bind(X_222,$fot(or(a,t4)))]]) ).
cnf(refute_0_9877,plain,
( and(not(t4),or(a,t4)) != and(t2,and(t3,or(a,t4)))
| and(t3,or(a,t4)) != a
| and(not(t4),or(a,t4)) = and(t2,a) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),or(a,t4)),and(t2,and(t3,or(a,t4)))) ),[1,1],$fot(a)]]) ).
cnf(refute_0_9878,plain,
( and(not(t4),or(a,t4)) != and(t2,and(t3,or(a,t4)))
| and(not(t4),or(a,t4)) = and(t2,a) ),
inference(resolve,[$cnf( $equal(and(t3,or(a,t4)),a) )],[refute_0_6912,refute_0_9877]) ).
cnf(refute_0_9879,plain,
and(not(t4),or(a,t4)) = and(t2,a),
inference(resolve,[$cnf( $equal(and(not(t4),or(a,t4)),and(t2,and(t3,or(a,t4)))) )],[refute_0_9876,refute_0_9878]) ).
cnf(refute_0_9880,plain,
not(or(X_25,not(or(a,t4)))) = and(not(X_25),or(a,t4)),
inference(subst,[],[refute_0_801:[bind(X,$fot(or(a,t4)))]]) ).
cnf(refute_0_9881,plain,
( not(or(X_25,not(or(a,t4)))) != and(not(X_25),or(a,t4))
| not(or(a,t4)) != xor(a,t3)
| not(or(X_25,xor(a,t3))) = and(not(X_25),or(a,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X_25,not(or(a,t4)))),and(not(X_25),or(a,t4))) ),[0,0,1],$fot(xor(a,t3))]]) ).
cnf(refute_0_9882,plain,
( not(or(X_25,not(or(a,t4)))) != and(not(X_25),or(a,t4))
| not(or(X_25,xor(a,t3))) = and(not(X_25),or(a,t4)) ),
inference(resolve,[$cnf( $equal(not(or(a,t4)),xor(a,t3)) )],[refute_0_2958,refute_0_9881]) ).
cnf(refute_0_9883,plain,
not(or(X_25,xor(a,t3))) = and(not(X_25),or(a,t4)),
inference(resolve,[$cnf( $equal(not(or(X_25,not(or(a,t4)))),and(not(X_25),or(a,t4))) )],[refute_0_9880,refute_0_9882]) ).
cnf(refute_0_9884,plain,
( not(or(X_25,xor(a,t3))) != and(not(X_25),or(a,t4))
| and(not(X_25),or(a,t4)) = not(or(X_25,xor(a,t3))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X_25,xor(a,t3))))),bind(Y0,$fot(and(not(X_25),or(a,t4))))]]) ).
cnf(refute_0_9885,plain,
and(not(X_25),or(a,t4)) = not(or(X_25,xor(a,t3))),
inference(resolve,[$cnf( $equal(not(or(X_25,xor(a,t3))),and(not(X_25),or(a,t4))) )],[refute_0_9883,refute_0_9884]) ).
cnf(refute_0_9886,plain,
and(not(t4),or(a,t4)) = not(or(t4,xor(a,t3))),
inference(subst,[],[refute_0_9885:[bind(X_25,$fot(t4))]]) ).
cnf(refute_0_9887,plain,
( and(not(t4),or(a,t4)) != and(t2,a)
| and(not(t4),or(a,t4)) != not(or(t4,xor(a,t3)))
| not(or(t4,xor(a,t3))) = and(t2,a) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),or(a,t4)),and(t2,a)) ),[0],$fot(not(or(t4,xor(a,t3))))]]) ).
cnf(refute_0_9888,plain,
( and(not(t4),or(a,t4)) != and(t2,a)
| not(or(t4,xor(a,t3))) = and(t2,a) ),
inference(resolve,[$cnf( $equal(and(not(t4),or(a,t4)),not(or(t4,xor(a,t3)))) )],[refute_0_9886,refute_0_9887]) ).
cnf(refute_0_9889,plain,
( and(t2,a) != and(a,t2)
| not(or(t4,xor(a,t3))) != and(t2,a)
| not(or(t4,xor(a,t3))) = and(a,t2) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t4,xor(a,t3))),and(t2,a)) ),[1],$fot(and(a,t2))]]) ).
cnf(refute_0_9890,plain,
( not(or(t4,xor(a,t3))) != and(t2,a)
| not(or(t4,xor(a,t3))) = and(a,t2) ),
inference(resolve,[$cnf( $equal(and(t2,a),and(a,t2)) )],[refute_0_6735,refute_0_9889]) ).
cnf(refute_0_9891,plain,
( and(not(t4),or(a,t4)) != and(t2,a)
| not(or(t4,xor(a,t3))) = and(a,t2) ),
inference(resolve,[$cnf( $equal(not(or(t4,xor(a,t3))),and(t2,a)) )],[refute_0_9888,refute_0_9890]) ).
cnf(refute_0_9892,plain,
not(or(t4,xor(a,t3))) = and(a,t2),
inference(resolve,[$cnf( $equal(and(not(t4),or(a,t4)),and(t2,a)) )],[refute_0_9879,refute_0_9891]) ).
cnf(refute_0_9893,plain,
( not(or(X,or(t4,xor(a,t3)))) != and(not(X),not(or(t4,xor(a,t3))))
| not(or(t4,xor(a,t3))) != and(a,t2)
| not(or(X,or(t4,xor(a,t3)))) = and(not(X),and(a,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,or(t4,xor(a,t3)))),and(not(X),not(or(t4,xor(a,t3))))) ),[1,1],$fot(and(a,t2))]]) ).
cnf(refute_0_9894,plain,
( not(or(X,or(t4,xor(a,t3)))) != and(not(X),not(or(t4,xor(a,t3))))
| not(or(X,or(t4,xor(a,t3)))) = and(not(X),and(a,t2)) ),
inference(resolve,[$cnf( $equal(not(or(t4,xor(a,t3))),and(a,t2)) )],[refute_0_9892,refute_0_9893]) ).
cnf(refute_0_9895,plain,
not(or(X,or(t4,xor(a,t3)))) = and(not(X),and(a,t2)),
inference(resolve,[$cnf( $equal(not(or(X,or(t4,xor(a,t3)))),and(not(X),not(or(t4,xor(a,t3))))) )],[refute_0_9875,refute_0_9894]) ).
cnf(refute_0_9896,plain,
not(or(not(and(a,t2)),X_26)) = and(and(a,t2),not(X_26)),
inference(subst,[],[refute_0_159:[bind(X,$fot(and(a,t2)))]]) ).
cnf(refute_0_9897,plain,
or(and(a,not(t2)),and(not(a),t2)) = xor(a,t2),
inference(subst,[],[refute_0_9:[bind(X,$fot(a)),bind(Y,$fot(t2))]]) ).
cnf(refute_0_9898,plain,
( and(a,not(t2)) != not(t2)
| or(and(a,not(t2)),and(not(a),t2)) != xor(a,t2)
| or(not(t2),and(not(a),t2)) = xor(a,t2) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(a,not(t2)),and(not(a),t2)),xor(a,t2)) ),[0,0],$fot(not(t2))]]) ).
cnf(refute_0_9899,plain,
( or(and(a,not(t2)),and(not(a),t2)) != xor(a,t2)
| or(not(t2),and(not(a),t2)) = xor(a,t2) ),
inference(resolve,[$cnf( $equal(and(a,not(t2)),not(t2)) )],[refute_0_1702,refute_0_9898]) ).
cnf(refute_0_9900,plain,
or(not(t2),and(not(a),t2)) = xor(a,t2),
inference(resolve,[$cnf( $equal(or(and(a,not(t2)),and(not(a),t2)),xor(a,t2)) )],[refute_0_9897,refute_0_9899]) ).
cnf(refute_0_9901,plain,
not(and(t2,a)) = not(and(a,t2)),
inference(subst,[],[refute_0_333:[bind(X_31,$fot(t2)),bind(X_32,$fot(a))]]) ).
cnf(refute_0_9902,plain,
or(not(t2),not(a)) = not(and(t2,a)),
inference(subst,[],[refute_0_147:[bind(X,$fot(t2)),bind(Y,$fot(a))]]) ).
cnf(refute_0_9903,plain,
( not(and(t2,a)) != not(and(a,t2))
| or(not(t2),not(a)) != not(and(t2,a))
| or(not(t2),not(a)) = not(and(a,t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t2),not(a)))),bind(Y0,$fot(not(and(t2,a)))),bind(Z0,$fot(not(and(a,t2))))]]) ).
cnf(refute_0_9904,plain,
( not(and(t2,a)) != not(and(a,t2))
| or(not(t2),not(a)) = not(and(a,t2)) ),
inference(resolve,[$cnf( $equal(or(not(t2),not(a)),not(and(t2,a))) )],[refute_0_9902,refute_0_9903]) ).
cnf(refute_0_9905,plain,
or(not(t2),not(a)) = not(and(a,t2)),
inference(resolve,[$cnf( $equal(not(and(t2,a)),not(and(a,t2))) )],[refute_0_9901,refute_0_9904]) ).
cnf(refute_0_9906,plain,
and(not(a),t2) = and(t2,not(a)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t2)),bind(Y,$fot(not(a)))]]) ).
cnf(refute_0_9907,plain,
( and(not(a),t2) != and(t2,not(a))
| and(t2,not(a)) != not(a)
| and(not(a),t2) = not(a) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(a),t2))),bind(Y0,$fot(and(t2,not(a)))),bind(Z0,$fot(not(a)))]]) ).
cnf(refute_0_9908,plain,
( and(t2,not(a)) != not(a)
| and(not(a),t2) = not(a) ),
inference(resolve,[$cnf( $equal(and(not(a),t2),and(t2,not(a))) )],[refute_0_9906,refute_0_9907]) ).
cnf(refute_0_9909,plain,
and(not(a),t2) = not(a),
inference(resolve,[$cnf( $equal(and(t2,not(a)),not(a)) )],[refute_0_296,refute_0_9908]) ).
cnf(refute_0_9910,plain,
or(not(t2),and(not(a),t2)) = or(not(t2),and(not(a),t2)),
introduced(tautology,[refl,[$fot(or(not(t2),and(not(a),t2)))]]) ).
cnf(refute_0_9911,plain,
( and(not(a),t2) != not(a)
| or(not(t2),and(not(a),t2)) != or(not(t2),and(not(a),t2))
| or(not(t2),and(not(a),t2)) = or(not(t2),not(a)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t2),and(not(a),t2)),or(not(t2),and(not(a),t2))) ),[1,1],$fot(not(a))]]) ).
cnf(refute_0_9912,plain,
( and(not(a),t2) != not(a)
| or(not(t2),and(not(a),t2)) = or(not(t2),not(a)) ),
inference(resolve,[$cnf( $equal(or(not(t2),and(not(a),t2)),or(not(t2),and(not(a),t2))) )],[refute_0_9910,refute_0_9911]) ).
cnf(refute_0_9913,plain,
or(not(t2),and(not(a),t2)) = or(not(t2),not(a)),
inference(resolve,[$cnf( $equal(and(not(a),t2),not(a)) )],[refute_0_9909,refute_0_9912]) ).
cnf(refute_0_9914,plain,
( or(not(t2),and(not(a),t2)) != or(not(t2),not(a))
| or(not(t2),not(a)) != not(and(a,t2))
| or(not(t2),and(not(a),t2)) = not(and(a,t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t2),and(not(a),t2)))),bind(Y0,$fot(or(not(t2),not(a)))),bind(Z0,$fot(not(and(a,t2))))]]) ).
cnf(refute_0_9915,plain,
( or(not(t2),not(a)) != not(and(a,t2))
| or(not(t2),and(not(a),t2)) = not(and(a,t2)) ),
inference(resolve,[$cnf( $equal(or(not(t2),and(not(a),t2)),or(not(t2),not(a))) )],[refute_0_9913,refute_0_9914]) ).
cnf(refute_0_9916,plain,
or(not(t2),and(not(a),t2)) = not(and(a,t2)),
inference(resolve,[$cnf( $equal(or(not(t2),not(a)),not(and(a,t2))) )],[refute_0_9905,refute_0_9915]) ).
cnf(refute_0_9917,plain,
( or(not(t2),and(not(a),t2)) != not(and(a,t2))
| or(not(t2),and(not(a),t2)) != xor(a,t2)
| not(and(a,t2)) = xor(a,t2) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t2),and(not(a),t2)),xor(a,t2)) ),[0],$fot(not(and(a,t2)))]]) ).
cnf(refute_0_9918,plain,
( or(not(t2),and(not(a),t2)) != xor(a,t2)
| not(and(a,t2)) = xor(a,t2) ),
inference(resolve,[$cnf( $equal(or(not(t2),and(not(a),t2)),not(and(a,t2))) )],[refute_0_9916,refute_0_9917]) ).
cnf(refute_0_9919,plain,
not(and(a,t2)) = xor(a,t2),
inference(resolve,[$cnf( $equal(or(not(t2),and(not(a),t2)),xor(a,t2)) )],[refute_0_9900,refute_0_9918]) ).
cnf(refute_0_9920,plain,
( not(and(a,t2)) != xor(a,t2)
| not(or(not(and(a,t2)),X_26)) != and(and(a,t2),not(X_26))
| not(or(xor(a,t2),X_26)) = and(and(a,t2),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(and(a,t2)),X_26)),and(and(a,t2),not(X_26))) ),[0,0,0],$fot(xor(a,t2))]]) ).
cnf(refute_0_9921,plain,
( not(or(not(and(a,t2)),X_26)) != and(and(a,t2),not(X_26))
| not(or(xor(a,t2),X_26)) = and(and(a,t2),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(and(a,t2)),xor(a,t2)) )],[refute_0_9919,refute_0_9920]) ).
cnf(refute_0_9922,plain,
not(or(xor(a,t2),X_26)) = and(and(a,t2),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(not(and(a,t2)),X_26)),and(and(a,t2),not(X_26))) )],[refute_0_9896,refute_0_9921]) ).
cnf(refute_0_9923,plain,
and(and(a,t2),not(X_26)) = and(a,and(t2,not(X_26))),
inference(subst,[],[and_associative:[bind(X,$fot(a)),bind(Y,$fot(t2)),bind(Z,$fot(not(X_26)))]]) ).
cnf(refute_0_9924,plain,
( and(and(a,t2),not(X_26)) != and(a,and(t2,not(X_26)))
| not(or(xor(a,t2),X_26)) != and(and(a,t2),not(X_26))
| not(or(xor(a,t2),X_26)) = and(a,and(t2,not(X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(a,t2),X_26)),and(and(a,t2),not(X_26))) ),[1],$fot(and(a,and(t2,not(X_26))))]]) ).
cnf(refute_0_9925,plain,
( not(or(xor(a,t2),X_26)) != and(and(a,t2),not(X_26))
| not(or(xor(a,t2),X_26)) = and(a,and(t2,not(X_26))) ),
inference(resolve,[$cnf( $equal(and(and(a,t2),not(X_26)),and(a,and(t2,not(X_26)))) )],[refute_0_9923,refute_0_9924]) ).
cnf(refute_0_9926,plain,
not(or(xor(a,t2),X_26)) = and(a,and(t2,not(X_26))),
inference(resolve,[$cnf( $equal(not(or(xor(a,t2),X_26)),and(and(a,t2),not(X_26))) )],[refute_0_9922,refute_0_9925]) ).
cnf(refute_0_9927,plain,
( not(or(xor(a,t2),X_26)) != and(a,and(t2,not(X_26)))
| and(a,and(t2,not(X_26))) = not(or(xor(a,t2),X_26)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(xor(a,t2),X_26)))),bind(Y0,$fot(and(a,and(t2,not(X_26)))))]]) ).
cnf(refute_0_9928,plain,
and(a,and(t2,not(X_26))) = not(or(xor(a,t2),X_26)),
inference(resolve,[$cnf( $equal(not(or(xor(a,t2),X_26)),and(a,and(t2,not(X_26)))) )],[refute_0_9926,refute_0_9927]) ).
cnf(refute_0_9929,plain,
and(a,and(t2,not(X))) = not(or(xor(a,t2),X)),
inference(subst,[],[refute_0_9928:[bind(X_26,$fot(X))]]) ).
cnf(refute_0_9930,plain,
not(or(not(X),or(t4,xor(a,t3)))) = and(X,not(or(t4,xor(a,t3)))),
inference(subst,[],[refute_0_159:[bind(X_26,$fot(or(t4,xor(a,t3))))]]) ).
cnf(refute_0_9931,plain,
( not(or(not(X),or(t4,xor(a,t3)))) != and(X,not(or(t4,xor(a,t3))))
| not(or(t4,xor(a,t3))) != and(a,t2)
| not(or(not(X),or(t4,xor(a,t3)))) = and(X,and(a,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(X),or(t4,xor(a,t3)))),and(X,not(or(t4,xor(a,t3))))) ),[1,1],$fot(and(a,t2))]]) ).
cnf(refute_0_9932,plain,
( not(or(not(X),or(t4,xor(a,t3)))) != and(X,not(or(t4,xor(a,t3))))
| not(or(not(X),or(t4,xor(a,t3)))) = and(X,and(a,t2)) ),
inference(resolve,[$cnf( $equal(not(or(t4,xor(a,t3))),and(a,t2)) )],[refute_0_9892,refute_0_9931]) ).
cnf(refute_0_9933,plain,
not(or(not(X),or(t4,xor(a,t3)))) = and(X,and(a,t2)),
inference(resolve,[$cnf( $equal(not(or(not(X),or(t4,xor(a,t3)))),and(X,not(or(t4,xor(a,t3))))) )],[refute_0_9930,refute_0_9932]) ).
cnf(refute_0_9934,plain,
and(and(a,t2),X) = and(a,and(t2,X)),
inference(subst,[],[and_associative:[bind(X,$fot(a)),bind(Y,$fot(t2)),bind(Z,$fot(X))]]) ).
cnf(refute_0_9935,plain,
and(not(or(t4,xor(a,t3))),X) = and(not(or(t4,xor(a,t3))),X),
introduced(tautology,[refl,[$fot(and(not(or(t4,xor(a,t3))),X))]]) ).
cnf(refute_0_9936,plain,
( and(not(or(t4,xor(a,t3))),X) != and(not(or(t4,xor(a,t3))),X)
| not(or(t4,xor(a,t3))) != and(a,t2)
| and(not(or(t4,xor(a,t3))),X) = and(and(a,t2),X) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(or(t4,xor(a,t3))),X),and(not(or(t4,xor(a,t3))),X)) ),[1,0],$fot(and(a,t2))]]) ).
cnf(refute_0_9937,plain,
( not(or(t4,xor(a,t3))) != and(a,t2)
| and(not(or(t4,xor(a,t3))),X) = and(and(a,t2),X) ),
inference(resolve,[$cnf( $equal(and(not(or(t4,xor(a,t3))),X),and(not(or(t4,xor(a,t3))),X)) )],[refute_0_9935,refute_0_9936]) ).
cnf(refute_0_9938,plain,
and(not(or(t4,xor(a,t3))),X) = and(and(a,t2),X),
inference(resolve,[$cnf( $equal(not(or(t4,xor(a,t3))),and(a,t2)) )],[refute_0_9892,refute_0_9937]) ).
cnf(refute_0_9939,plain,
( and(and(a,t2),X) != and(a,and(t2,X))
| and(not(or(t4,xor(a,t3))),X) != and(and(a,t2),X)
| and(not(or(t4,xor(a,t3))),X) = and(a,and(t2,X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(or(t4,xor(a,t3))),X))),bind(Y0,$fot(and(and(a,t2),X))),bind(Z0,$fot(and(a,and(t2,X))))]]) ).
cnf(refute_0_9940,plain,
( and(and(a,t2),X) != and(a,and(t2,X))
| and(not(or(t4,xor(a,t3))),X) = and(a,and(t2,X)) ),
inference(resolve,[$cnf( $equal(and(not(or(t4,xor(a,t3))),X),and(and(a,t2),X)) )],[refute_0_9938,refute_0_9939]) ).
cnf(refute_0_9941,plain,
and(not(or(t4,xor(a,t3))),X) = and(a,and(t2,X)),
inference(resolve,[$cnf( $equal(and(and(a,t2),X),and(a,and(t2,X))) )],[refute_0_9934,refute_0_9940]) ).
cnf(refute_0_9942,plain,
not(or(t4,or(xor(a,t3),not(X)))) = and(not(or(t4,xor(a,t3))),X),
inference(subst,[],[refute_0_7097:[bind(X,$fot(t4)),bind(Y,$fot(xor(a,t3))),bind(X_78,$fot(X))]]) ).
cnf(refute_0_9943,plain,
not(or(not(X),or(t4,xor(a,t3)))) = not(or(t4,or(xor(a,t3),not(X)))),
inference(subst,[],[refute_0_2912:[bind(X_26,$fot(not(X))),bind(X_37,$fot(t4)),bind(X_38,$fot(xor(a,t3)))]]) ).
cnf(refute_0_9944,plain,
( not(or(not(X),or(t4,xor(a,t3)))) != not(or(t4,or(xor(a,t3),not(X))))
| not(or(t4,or(xor(a,t3),not(X)))) != and(not(or(t4,xor(a,t3))),X)
| not(or(not(X),or(t4,xor(a,t3)))) = and(not(or(t4,xor(a,t3))),X) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(not(X),or(t4,xor(a,t3)))))),bind(Y0,$fot(not(or(t4,or(xor(a,t3),not(X)))))),bind(Z0,$fot(and(not(or(t4,xor(a,t3))),X)))]]) ).
cnf(refute_0_9945,plain,
( not(or(t4,or(xor(a,t3),not(X)))) != and(not(or(t4,xor(a,t3))),X)
| not(or(not(X),or(t4,xor(a,t3)))) = and(not(or(t4,xor(a,t3))),X) ),
inference(resolve,[$cnf( $equal(not(or(not(X),or(t4,xor(a,t3)))),not(or(t4,or(xor(a,t3),not(X))))) )],[refute_0_9943,refute_0_9944]) ).
cnf(refute_0_9946,plain,
not(or(not(X),or(t4,xor(a,t3)))) = and(not(or(t4,xor(a,t3))),X),
inference(resolve,[$cnf( $equal(not(or(t4,or(xor(a,t3),not(X)))),and(not(or(t4,xor(a,t3))),X)) )],[refute_0_9942,refute_0_9945]) ).
cnf(refute_0_9947,plain,
( and(not(or(t4,xor(a,t3))),X) != and(a,and(t2,X))
| not(or(not(X),or(t4,xor(a,t3)))) != and(not(or(t4,xor(a,t3))),X)
| not(or(not(X),or(t4,xor(a,t3)))) = and(a,and(t2,X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(not(X),or(t4,xor(a,t3)))))),bind(Y0,$fot(and(not(or(t4,xor(a,t3))),X))),bind(Z0,$fot(and(a,and(t2,X))))]]) ).
cnf(refute_0_9948,plain,
( and(not(or(t4,xor(a,t3))),X) != and(a,and(t2,X))
| not(or(not(X),or(t4,xor(a,t3)))) = and(a,and(t2,X)) ),
inference(resolve,[$cnf( $equal(not(or(not(X),or(t4,xor(a,t3)))),and(not(or(t4,xor(a,t3))),X)) )],[refute_0_9946,refute_0_9947]) ).
cnf(refute_0_9949,plain,
not(or(not(X),or(t4,xor(a,t3)))) = and(a,and(t2,X)),
inference(resolve,[$cnf( $equal(and(not(or(t4,xor(a,t3))),X),and(a,and(t2,X))) )],[refute_0_9941,refute_0_9948]) ).
cnf(refute_0_9950,plain,
( not(or(not(X),or(t4,xor(a,t3)))) != and(X,and(a,t2))
| not(or(not(X),or(t4,xor(a,t3)))) != and(a,and(t2,X))
| and(a,and(t2,X)) = and(X,and(a,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(X),or(t4,xor(a,t3)))),and(X,and(a,t2))) ),[0],$fot(and(a,and(t2,X)))]]) ).
cnf(refute_0_9951,plain,
( not(or(not(X),or(t4,xor(a,t3)))) != and(X,and(a,t2))
| and(a,and(t2,X)) = and(X,and(a,t2)) ),
inference(resolve,[$cnf( $equal(not(or(not(X),or(t4,xor(a,t3)))),and(a,and(t2,X))) )],[refute_0_9949,refute_0_9950]) ).
cnf(refute_0_9952,plain,
and(a,and(t2,X)) = and(X,and(a,t2)),
inference(resolve,[$cnf( $equal(not(or(not(X),or(t4,xor(a,t3)))),and(X,and(a,t2))) )],[refute_0_9933,refute_0_9951]) ).
cnf(refute_0_9953,plain,
( and(a,and(t2,X)) != and(X,and(a,t2))
| and(X,and(a,t2)) = and(a,and(t2,X)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(a,and(t2,X)))),bind(Y0,$fot(and(X,and(a,t2))))]]) ).
cnf(refute_0_9954,plain,
and(X,and(a,t2)) = and(a,and(t2,X)),
inference(resolve,[$cnf( $equal(and(a,and(t2,X)),and(X,and(a,t2))) )],[refute_0_9952,refute_0_9953]) ).
cnf(refute_0_9955,plain,
and(not(X),and(a,t2)) = and(a,and(t2,not(X))),
inference(subst,[],[refute_0_9954:[bind(X,$fot(not(X)))]]) ).
cnf(refute_0_9956,plain,
( and(a,and(t2,not(X))) != not(or(xor(a,t2),X))
| and(not(X),and(a,t2)) != and(a,and(t2,not(X)))
| and(not(X),and(a,t2)) = not(or(xor(a,t2),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(X),and(a,t2)))),bind(Y0,$fot(and(a,and(t2,not(X))))),bind(Z0,$fot(not(or(xor(a,t2),X))))]]) ).
cnf(refute_0_9957,plain,
( and(a,and(t2,not(X))) != not(or(xor(a,t2),X))
| and(not(X),and(a,t2)) = not(or(xor(a,t2),X)) ),
inference(resolve,[$cnf( $equal(and(not(X),and(a,t2)),and(a,and(t2,not(X)))) )],[refute_0_9955,refute_0_9956]) ).
cnf(refute_0_9958,plain,
and(not(X),and(a,t2)) = not(or(xor(a,t2),X)),
inference(resolve,[$cnf( $equal(and(a,and(t2,not(X))),not(or(xor(a,t2),X))) )],[refute_0_9929,refute_0_9957]) ).
cnf(refute_0_9959,plain,
( and(not(X),and(a,t2)) != not(or(xor(a,t2),X))
| not(or(X,or(t4,xor(a,t3)))) != and(not(X),and(a,t2))
| not(or(X,or(t4,xor(a,t3)))) = not(or(xor(a,t2),X)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,or(t4,xor(a,t3)))),and(not(X),and(a,t2))) ),[1],$fot(not(or(xor(a,t2),X)))]]) ).
cnf(refute_0_9960,plain,
( not(or(X,or(t4,xor(a,t3)))) != and(not(X),and(a,t2))
| not(or(X,or(t4,xor(a,t3)))) = not(or(xor(a,t2),X)) ),
inference(resolve,[$cnf( $equal(and(not(X),and(a,t2)),not(or(xor(a,t2),X))) )],[refute_0_9958,refute_0_9959]) ).
cnf(refute_0_9961,plain,
not(or(X,or(t4,xor(a,t3)))) = not(or(xor(a,t2),X)),
inference(resolve,[$cnf( $equal(not(or(X,or(t4,xor(a,t3)))),and(not(X),and(a,t2))) )],[refute_0_9895,refute_0_9960]) ).
cnf(refute_0_9962,plain,
not(not(or(t4,xor(a,t3)))) = or(t4,xor(a,t3)),
inference(subst,[],[not_involution:[bind(X,$fot(or(t4,xor(a,t3))))]]) ).
cnf(refute_0_9963,plain,
( not(not(or(t4,xor(a,t3)))) != or(t4,xor(a,t3))
| not(or(t4,xor(a,t3))) != and(a,t2)
| not(and(a,t2)) = or(t4,xor(a,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(or(t4,xor(a,t3)))),or(t4,xor(a,t3))) ),[0,0],$fot(and(a,t2))]]) ).
cnf(refute_0_9964,plain,
( not(not(or(t4,xor(a,t3)))) != or(t4,xor(a,t3))
| not(and(a,t2)) = or(t4,xor(a,t3)) ),
inference(resolve,[$cnf( $equal(not(or(t4,xor(a,t3))),and(a,t2)) )],[refute_0_9892,refute_0_9963]) ).
cnf(refute_0_9965,plain,
not(and(a,t2)) = or(t4,xor(a,t3)),
inference(resolve,[$cnf( $equal(not(not(or(t4,xor(a,t3)))),or(t4,xor(a,t3))) )],[refute_0_9962,refute_0_9964]) ).
cnf(refute_0_9966,plain,
( not(and(a,t2)) != or(t4,xor(a,t3))
| not(and(a,t2)) != xor(a,t2)
| xor(a,t2) = or(t4,xor(a,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(a,t2)),or(t4,xor(a,t3))) ),[0],$fot(xor(a,t2))]]) ).
cnf(refute_0_9967,plain,
( not(and(a,t2)) != or(t4,xor(a,t3))
| xor(a,t2) = or(t4,xor(a,t3)) ),
inference(resolve,[$cnf( $equal(not(and(a,t2)),xor(a,t2)) )],[refute_0_9919,refute_0_9966]) ).
cnf(refute_0_9968,plain,
xor(a,t2) = or(t4,xor(a,t3)),
inference(resolve,[$cnf( $equal(not(and(a,t2)),or(t4,xor(a,t3))) )],[refute_0_9965,refute_0_9967]) ).
cnf(refute_0_9969,plain,
( xor(a,t2) != or(t4,xor(a,t3))
| or(t4,xor(a,t3)) = xor(a,t2) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(a,t2))),bind(Y0,$fot(or(t4,xor(a,t3))))]]) ).
cnf(refute_0_9970,plain,
or(t4,xor(a,t3)) = xor(a,t2),
inference(resolve,[$cnf( $equal(xor(a,t2),or(t4,xor(a,t3))) )],[refute_0_9968,refute_0_9969]) ).
cnf(refute_0_9971,plain,
or(X,or(t4,xor(a,t3))) = or(X,or(t4,xor(a,t3))),
introduced(tautology,[refl,[$fot(or(X,or(t4,xor(a,t3))))]]) ).
cnf(refute_0_9972,plain,
( or(X,or(t4,xor(a,t3))) != or(X,or(t4,xor(a,t3)))
| or(t4,xor(a,t3)) != xor(a,t2)
| or(X,or(t4,xor(a,t3))) = or(X,xor(a,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(X,or(t4,xor(a,t3))),or(X,or(t4,xor(a,t3)))) ),[1,1],$fot(xor(a,t2))]]) ).
cnf(refute_0_9973,plain,
( or(t4,xor(a,t3)) != xor(a,t2)
| or(X,or(t4,xor(a,t3))) = or(X,xor(a,t2)) ),
inference(resolve,[$cnf( $equal(or(X,or(t4,xor(a,t3))),or(X,or(t4,xor(a,t3)))) )],[refute_0_9971,refute_0_9972]) ).
cnf(refute_0_9974,plain,
or(X,or(t4,xor(a,t3))) = or(X,xor(a,t2)),
inference(resolve,[$cnf( $equal(or(t4,xor(a,t3)),xor(a,t2)) )],[refute_0_9970,refute_0_9973]) ).
cnf(refute_0_9975,plain,
not(or(X,or(t4,xor(a,t3)))) = not(or(X,or(t4,xor(a,t3)))),
introduced(tautology,[refl,[$fot(not(or(X,or(t4,xor(a,t3)))))]]) ).
cnf(refute_0_9976,plain,
( not(or(X,or(t4,xor(a,t3)))) != not(or(X,or(t4,xor(a,t3))))
| or(X,or(t4,xor(a,t3))) != or(X,xor(a,t2))
| not(or(X,or(t4,xor(a,t3)))) = not(or(X,xor(a,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,or(t4,xor(a,t3)))),not(or(X,or(t4,xor(a,t3))))) ),[1,0],$fot(or(X,xor(a,t2)))]]) ).
cnf(refute_0_9977,plain,
( or(X,or(t4,xor(a,t3))) != or(X,xor(a,t2))
| not(or(X,or(t4,xor(a,t3)))) = not(or(X,xor(a,t2))) ),
inference(resolve,[$cnf( $equal(not(or(X,or(t4,xor(a,t3)))),not(or(X,or(t4,xor(a,t3))))) )],[refute_0_9975,refute_0_9976]) ).
cnf(refute_0_9978,plain,
not(or(X,or(t4,xor(a,t3)))) = not(or(X,xor(a,t2))),
inference(resolve,[$cnf( $equal(or(X,or(t4,xor(a,t3))),or(X,xor(a,t2))) )],[refute_0_9974,refute_0_9977]) ).
cnf(refute_0_9979,plain,
( not(or(X,or(t4,xor(a,t3)))) != not(or(X,xor(a,t2)))
| not(or(X,or(t4,xor(a,t3)))) != not(or(xor(a,t2),X))
| not(or(X,xor(a,t2))) = not(or(xor(a,t2),X)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,or(t4,xor(a,t3)))),not(or(xor(a,t2),X))) ),[0],$fot(not(or(X,xor(a,t2))))]]) ).
cnf(refute_0_9980,plain,
( not(or(X,or(t4,xor(a,t3)))) != not(or(xor(a,t2),X))
| not(or(X,xor(a,t2))) = not(or(xor(a,t2),X)) ),
inference(resolve,[$cnf( $equal(not(or(X,or(t4,xor(a,t3)))),not(or(X,xor(a,t2)))) )],[refute_0_9978,refute_0_9979]) ).
cnf(refute_0_9981,plain,
not(or(X,xor(a,t2))) = not(or(xor(a,t2),X)),
inference(resolve,[$cnf( $equal(not(or(X,or(t4,xor(a,t3)))),not(or(xor(a,t2),X))) )],[refute_0_9961,refute_0_9980]) ).
cnf(refute_0_9982,plain,
or(and(t1,not(xor(t2,or(b,and(t1,t2))))),and(not(t1),xor(t2,or(b,and(t1,t2))))) = xor(t1,xor(t2,or(b,and(t1,t2)))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t1)),bind(Y,$fot(xor(t2,or(b,and(t1,t2)))))]]) ).
cnf(refute_0_9983,plain,
and(not(t1),xor(t2,or(b,and(t1,t2)))) = and(a,and(b,xor(t2,or(b,and(t1,t2))))),
inference(subst,[],[refute_0_1932:[bind(X_222,$fot(xor(t2,or(b,and(t1,t2)))))]]) ).
cnf(refute_0_9984,plain,
and(and(b,not(t2)),Z) = and(b,and(not(t2),Z)),
inference(subst,[],[and_associative:[bind(X,$fot(b)),bind(Y,$fot(not(t2)))]]) ).
cnf(refute_0_9985,plain,
( and(and(b,not(t2)),Z) != and(b,and(not(t2),Z))
| and(b,not(t2)) != ll0
| and(ll0,Z) = and(b,and(not(t2),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(b,not(t2)),Z),and(b,and(not(t2),Z))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_9986,plain,
( and(and(b,not(t2)),Z) != and(b,and(not(t2),Z))
| and(ll0,Z) = and(b,and(not(t2),Z)) ),
inference(resolve,[$cnf( $equal(and(b,not(t2)),ll0) )],[refute_0_1957,refute_0_9985]) ).
cnf(refute_0_9987,plain,
and(ll0,Z) = and(b,and(not(t2),Z)),
inference(resolve,[$cnf( $equal(and(and(b,not(t2)),Z),and(b,and(not(t2),Z))) )],[refute_0_9984,refute_0_9986]) ).
cnf(refute_0_9988,plain,
( and(ll0,Z) != and(b,and(not(t2),Z))
| and(ll0,Z) != ll0
| ll0 = and(b,and(not(t2),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(ll0,Z),and(b,and(not(t2),Z))) ),[0],$fot(ll0)]]) ).
cnf(refute_0_9989,plain,
( and(ll0,Z) != and(b,and(not(t2),Z))
| ll0 = and(b,and(not(t2),Z)) ),
inference(resolve,[$cnf( $equal(and(ll0,Z),ll0) )],[refute_0_7339,refute_0_9988]) ).
cnf(refute_0_9990,plain,
ll0 = and(b,and(not(t2),Z)),
inference(resolve,[$cnf( $equal(and(ll0,Z),and(b,and(not(t2),Z))) )],[refute_0_9987,refute_0_9989]) ).
cnf(refute_0_9991,plain,
ll0 = and(b,and(not(t2),or(b,and(t1,t2)))),
inference(subst,[],[refute_0_9990:[bind(Z,$fot(or(b,and(t1,t2))))]]) ).
cnf(refute_0_9992,plain,
( and(not(t2),or(b,and(t1,t2))) != xor(t2,or(b,and(t1,t2)))
| ll0 != and(b,and(not(t2),or(b,and(t1,t2))))
| ll0 = and(b,xor(t2,or(b,and(t1,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(b,and(not(t2),or(b,and(t1,t2))))) ),[1,1],$fot(xor(t2,or(b,and(t1,t2))))]]) ).
cnf(refute_0_9993,plain,
( ll0 != and(b,and(not(t2),or(b,and(t1,t2))))
| ll0 = and(b,xor(t2,or(b,and(t1,t2)))) ),
inference(resolve,[$cnf( $equal(and(not(t2),or(b,and(t1,t2))),xor(t2,or(b,and(t1,t2)))) )],[refute_0_6623,refute_0_9992]) ).
cnf(refute_0_9994,plain,
ll0 = and(b,xor(t2,or(b,and(t1,t2)))),
inference(resolve,[$cnf( $equal(ll0,and(b,and(not(t2),or(b,and(t1,t2))))) )],[refute_0_9991,refute_0_9993]) ).
cnf(refute_0_9995,plain,
( ll0 != and(b,xor(t2,or(b,and(t1,t2))))
| and(b,xor(t2,or(b,and(t1,t2)))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(b,xor(t2,or(b,and(t1,t2))))))]]) ).
cnf(refute_0_9996,plain,
and(b,xor(t2,or(b,and(t1,t2)))) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(b,xor(t2,or(b,and(t1,t2))))) )],[refute_0_9994,refute_0_9995]) ).
cnf(refute_0_9997,plain,
( and(b,xor(t2,or(b,and(t1,t2)))) != ll0
| and(not(t1),xor(t2,or(b,and(t1,t2)))) != and(a,and(b,xor(t2,or(b,and(t1,t2)))))
| and(not(t1),xor(t2,or(b,and(t1,t2)))) = and(a,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t1),xor(t2,or(b,and(t1,t2)))),and(a,and(b,xor(t2,or(b,and(t1,t2)))))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_9998,plain,
( and(not(t1),xor(t2,or(b,and(t1,t2)))) != and(a,and(b,xor(t2,or(b,and(t1,t2)))))
| and(not(t1),xor(t2,or(b,and(t1,t2)))) = and(a,ll0) ),
inference(resolve,[$cnf( $equal(and(b,xor(t2,or(b,and(t1,t2)))),ll0) )],[refute_0_9996,refute_0_9997]) ).
cnf(refute_0_9999,plain,
and(not(t1),xor(t2,or(b,and(t1,t2)))) = and(a,ll0),
inference(resolve,[$cnf( $equal(and(not(t1),xor(t2,or(b,and(t1,t2)))),and(a,and(b,xor(t2,or(b,and(t1,t2)))))) )],[refute_0_9983,refute_0_9998]) ).
cnf(refute_0_10000,plain,
and(a,ll0) = ll0,
inference(subst,[],[and_boundedness:[bind(X,$fot(a))]]) ).
cnf(refute_0_10001,plain,
( and(a,ll0) != ll0
| and(not(t1),xor(t2,or(b,and(t1,t2)))) != and(a,ll0)
| and(not(t1),xor(t2,or(b,and(t1,t2)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t1),xor(t2,or(b,and(t1,t2)))),and(a,ll0)) ),[1],$fot(ll0)]]) ).
cnf(refute_0_10002,plain,
( and(not(t1),xor(t2,or(b,and(t1,t2)))) != and(a,ll0)
| and(not(t1),xor(t2,or(b,and(t1,t2)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(a,ll0),ll0) )],[refute_0_10000,refute_0_10001]) ).
cnf(refute_0_10003,plain,
and(not(t1),xor(t2,or(b,and(t1,t2)))) = ll0,
inference(resolve,[$cnf( $equal(and(not(t1),xor(t2,or(b,and(t1,t2)))),and(a,ll0)) )],[refute_0_9999,refute_0_10002]) ).
cnf(refute_0_10004,plain,
( and(not(t1),xor(t2,or(b,and(t1,t2)))) != ll0
| or(and(t1,not(xor(t2,or(b,and(t1,t2))))),and(not(t1),xor(t2,or(b,and(t1,t2))))) != xor(t1,xor(t2,or(b,and(t1,t2))))
| or(and(t1,not(xor(t2,or(b,and(t1,t2))))),ll0) = xor(t1,xor(t2,or(b,and(t1,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t1,not(xor(t2,or(b,and(t1,t2))))),and(not(t1),xor(t2,or(b,and(t1,t2))))),xor(t1,xor(t2,or(b,and(t1,t2))))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_10005,plain,
( or(and(t1,not(xor(t2,or(b,and(t1,t2))))),and(not(t1),xor(t2,or(b,and(t1,t2))))) != xor(t1,xor(t2,or(b,and(t1,t2))))
| or(and(t1,not(xor(t2,or(b,and(t1,t2))))),ll0) = xor(t1,xor(t2,or(b,and(t1,t2)))) ),
inference(resolve,[$cnf( $equal(and(not(t1),xor(t2,or(b,and(t1,t2)))),ll0) )],[refute_0_10003,refute_0_10004]) ).
cnf(refute_0_10006,plain,
or(and(t1,not(xor(t2,or(b,and(t1,t2))))),ll0) = xor(t1,xor(t2,or(b,and(t1,t2)))),
inference(resolve,[$cnf( $equal(or(and(t1,not(xor(t2,or(b,and(t1,t2))))),and(not(t1),xor(t2,or(b,and(t1,t2))))),xor(t1,xor(t2,or(b,and(t1,t2))))) )],[refute_0_9982,refute_0_10005]) ).
cnf(refute_0_10007,plain,
or(and(t1,not(xor(t2,or(b,and(t1,t2))))),ll0) = and(t1,not(xor(t2,or(b,and(t1,t2))))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t1,not(xor(t2,or(b,and(t1,t2)))))))]]) ).
cnf(refute_0_10008,plain,
( or(and(t1,not(xor(t2,or(b,and(t1,t2))))),ll0) != and(t1,not(xor(t2,or(b,and(t1,t2)))))
| or(and(t1,not(xor(t2,or(b,and(t1,t2))))),ll0) != xor(t1,xor(t2,or(b,and(t1,t2))))
| and(t1,not(xor(t2,or(b,and(t1,t2))))) = xor(t1,xor(t2,or(b,and(t1,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t1,not(xor(t2,or(b,and(t1,t2))))),ll0),xor(t1,xor(t2,or(b,and(t1,t2))))) ),[0],$fot(and(t1,not(xor(t2,or(b,and(t1,t2))))))]]) ).
cnf(refute_0_10009,plain,
( or(and(t1,not(xor(t2,or(b,and(t1,t2))))),ll0) != xor(t1,xor(t2,or(b,and(t1,t2))))
| and(t1,not(xor(t2,or(b,and(t1,t2))))) = xor(t1,xor(t2,or(b,and(t1,t2)))) ),
inference(resolve,[$cnf( $equal(or(and(t1,not(xor(t2,or(b,and(t1,t2))))),ll0),and(t1,not(xor(t2,or(b,and(t1,t2)))))) )],[refute_0_10007,refute_0_10008]) ).
cnf(refute_0_10010,plain,
and(t1,not(xor(t2,or(b,and(t1,t2))))) = xor(t1,xor(t2,or(b,and(t1,t2)))),
inference(resolve,[$cnf( $equal(or(and(t1,not(xor(t2,or(b,and(t1,t2))))),ll0),xor(t1,xor(t2,or(b,and(t1,t2))))) )],[refute_0_10006,refute_0_10009]) ).
cnf(refute_0_10011,plain,
not(xor(t2,or(b,and(t1,t2)))) = not(xor(t2,or(b,and(t1,t2)))),
introduced(tautology,[refl,[$fot(not(xor(t2,or(b,and(t1,t2)))))]]) ).
cnf(refute_0_10012,plain,
( not(xor(t2,or(b,and(t1,t2)))) != not(xor(t2,or(b,and(t1,t2))))
| xor(t2,or(b,and(t1,t2))) != xor(t2,or(b,t2))
| not(xor(t2,or(b,and(t1,t2)))) = not(xor(t2,or(b,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t2,or(b,and(t1,t2)))),not(xor(t2,or(b,and(t1,t2))))) ),[1,0],$fot(xor(t2,or(b,t2)))]]) ).
cnf(refute_0_10013,plain,
( xor(t2,or(b,and(t1,t2))) != xor(t2,or(b,t2))
| not(xor(t2,or(b,and(t1,t2)))) = not(xor(t2,or(b,t2))) ),
inference(resolve,[$cnf( $equal(not(xor(t2,or(b,and(t1,t2)))),not(xor(t2,or(b,and(t1,t2))))) )],[refute_0_10011,refute_0_10012]) ).
cnf(refute_0_10014,plain,
not(xor(t2,or(b,and(t1,t2)))) = not(xor(t2,or(b,t2))),
inference(resolve,[$cnf( $equal(xor(t2,or(b,and(t1,t2))),xor(t2,or(b,t2))) )],[refute_0_6673,refute_0_10013]) ).
cnf(refute_0_10015,plain,
and(t1,not(xor(t2,or(b,and(t1,t2))))) = and(t1,not(xor(t2,or(b,and(t1,t2))))),
introduced(tautology,[refl,[$fot(and(t1,not(xor(t2,or(b,and(t1,t2))))))]]) ).
cnf(refute_0_10016,plain,
( and(t1,not(xor(t2,or(b,and(t1,t2))))) != and(t1,not(xor(t2,or(b,and(t1,t2)))))
| not(xor(t2,or(b,and(t1,t2)))) != not(xor(t2,or(b,t2)))
| and(t1,not(xor(t2,or(b,and(t1,t2))))) = and(t1,not(xor(t2,or(b,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,not(xor(t2,or(b,and(t1,t2))))),and(t1,not(xor(t2,or(b,and(t1,t2)))))) ),[1,1],$fot(not(xor(t2,or(b,t2))))]]) ).
cnf(refute_0_10017,plain,
( not(xor(t2,or(b,and(t1,t2)))) != not(xor(t2,or(b,t2)))
| and(t1,not(xor(t2,or(b,and(t1,t2))))) = and(t1,not(xor(t2,or(b,t2)))) ),
inference(resolve,[$cnf( $equal(and(t1,not(xor(t2,or(b,and(t1,t2))))),and(t1,not(xor(t2,or(b,and(t1,t2)))))) )],[refute_0_10015,refute_0_10016]) ).
cnf(refute_0_10018,plain,
and(t1,not(xor(t2,or(b,and(t1,t2))))) = and(t1,not(xor(t2,or(b,t2)))),
inference(resolve,[$cnf( $equal(not(xor(t2,or(b,and(t1,t2)))),not(xor(t2,or(b,t2)))) )],[refute_0_10014,refute_0_10017]) ).
cnf(refute_0_10019,plain,
( and(t1,not(xor(t2,or(b,and(t1,t2))))) != and(t1,not(xor(t2,or(b,t2))))
| and(t1,not(xor(t2,or(b,and(t1,t2))))) != xor(t1,xor(t2,or(b,and(t1,t2))))
| and(t1,not(xor(t2,or(b,t2)))) = xor(t1,xor(t2,or(b,and(t1,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,not(xor(t2,or(b,and(t1,t2))))),xor(t1,xor(t2,or(b,and(t1,t2))))) ),[0],$fot(and(t1,not(xor(t2,or(b,t2)))))]]) ).
cnf(refute_0_10020,plain,
( and(t1,not(xor(t2,or(b,and(t1,t2))))) != xor(t1,xor(t2,or(b,and(t1,t2))))
| and(t1,not(xor(t2,or(b,t2)))) = xor(t1,xor(t2,or(b,and(t1,t2)))) ),
inference(resolve,[$cnf( $equal(and(t1,not(xor(t2,or(b,and(t1,t2))))),and(t1,not(xor(t2,or(b,t2))))) )],[refute_0_10018,refute_0_10019]) ).
cnf(refute_0_10021,plain,
xor(t1,xor(t2,or(b,and(t1,t2)))) = xor(t1,xor(t2,or(b,and(t1,t2)))),
introduced(tautology,[refl,[$fot(xor(t1,xor(t2,or(b,and(t1,t2)))))]]) ).
cnf(refute_0_10022,plain,
( xor(t1,xor(t2,or(b,and(t1,t2)))) != xor(t1,xor(t2,or(b,and(t1,t2))))
| xor(t2,or(b,and(t1,t2))) != xor(t2,or(b,t2))
| xor(t1,xor(t2,or(b,and(t1,t2)))) = xor(t1,xor(t2,or(b,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,xor(t2,or(b,and(t1,t2)))),xor(t1,xor(t2,or(b,and(t1,t2))))) ),[1,1],$fot(xor(t2,or(b,t2)))]]) ).
cnf(refute_0_10023,plain,
( xor(t2,or(b,and(t1,t2))) != xor(t2,or(b,t2))
| xor(t1,xor(t2,or(b,and(t1,t2)))) = xor(t1,xor(t2,or(b,t2))) ),
inference(resolve,[$cnf( $equal(xor(t1,xor(t2,or(b,and(t1,t2)))),xor(t1,xor(t2,or(b,and(t1,t2))))) )],[refute_0_10021,refute_0_10022]) ).
cnf(refute_0_10024,plain,
xor(t1,xor(t2,or(b,and(t1,t2)))) = xor(t1,xor(t2,or(b,t2))),
inference(resolve,[$cnf( $equal(xor(t2,or(b,and(t1,t2))),xor(t2,or(b,t2))) )],[refute_0_6673,refute_0_10023]) ).
cnf(refute_0_10025,plain,
( and(t1,not(xor(t2,or(b,t2)))) != xor(t1,xor(t2,or(b,and(t1,t2))))
| xor(t1,xor(t2,or(b,and(t1,t2)))) != xor(t1,xor(t2,or(b,t2)))
| and(t1,not(xor(t2,or(b,t2)))) = xor(t1,xor(t2,or(b,t2))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t1,not(xor(t2,or(b,t2)))),xor(t1,xor(t2,or(b,t2)))) ),[0],$fot(xor(t1,xor(t2,or(b,and(t1,t2)))))]]) ).
cnf(refute_0_10026,plain,
( and(t1,not(xor(t2,or(b,t2)))) != xor(t1,xor(t2,or(b,and(t1,t2))))
| and(t1,not(xor(t2,or(b,t2)))) = xor(t1,xor(t2,or(b,t2))) ),
inference(resolve,[$cnf( $equal(xor(t1,xor(t2,or(b,and(t1,t2)))),xor(t1,xor(t2,or(b,t2)))) )],[refute_0_10024,refute_0_10025]) ).
cnf(refute_0_10027,plain,
( and(t1,not(xor(t2,or(b,and(t1,t2))))) != xor(t1,xor(t2,or(b,and(t1,t2))))
| and(t1,not(xor(t2,or(b,t2)))) = xor(t1,xor(t2,or(b,t2))) ),
inference(resolve,[$cnf( $equal(and(t1,not(xor(t2,or(b,t2)))),xor(t1,xor(t2,or(b,and(t1,t2))))) )],[refute_0_10020,refute_0_10026]) ).
cnf(refute_0_10028,plain,
and(t1,not(xor(t2,or(b,t2)))) = xor(t1,xor(t2,or(b,t2))),
inference(resolve,[$cnf( $equal(and(t1,not(xor(t2,or(b,and(t1,t2))))),xor(t1,xor(t2,or(b,and(t1,t2))))) )],[refute_0_10010,refute_0_10027]) ).
cnf(refute_0_10029,plain,
or(and(xor(t1,t2),not(Y)),and(not(xor(t1,t2)),Y)) = xor(xor(t1,t2),Y),
inference(subst,[],[refute_0_9:[bind(X,$fot(xor(t1,t2)))]]) ).
cnf(refute_0_10030,plain,
( not(xor(t1,t2)) != and(t1,t2)
| or(and(xor(t1,t2),not(Y)),and(not(xor(t1,t2)),Y)) != xor(xor(t1,t2),Y)
| or(and(xor(t1,t2),not(Y)),and(and(t1,t2),Y)) = xor(xor(t1,t2),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(t1,t2),not(Y)),and(not(xor(t1,t2)),Y)),xor(xor(t1,t2),Y)) ),[0,1,0],$fot(and(t1,t2))]]) ).
cnf(refute_0_10031,plain,
( or(and(xor(t1,t2),not(Y)),and(not(xor(t1,t2)),Y)) != xor(xor(t1,t2),Y)
| or(and(xor(t1,t2),not(Y)),and(and(t1,t2),Y)) = xor(xor(t1,t2),Y) ),
inference(resolve,[$cnf( $equal(not(xor(t1,t2)),and(t1,t2)) )],[refute_0_521,refute_0_10030]) ).
cnf(refute_0_10032,plain,
or(and(xor(t1,t2),not(Y)),and(and(t1,t2),Y)) = xor(xor(t1,t2),Y),
inference(resolve,[$cnf( $equal(or(and(xor(t1,t2),not(Y)),and(not(xor(t1,t2)),Y)),xor(xor(t1,t2),Y)) )],[refute_0_10029,refute_0_10031]) ).
cnf(refute_0_10033,plain,
not(or(and(t1,t2),Y)) = and(not(and(t1,t2)),not(Y)),
inference(subst,[],[or_demorgan:[bind(X,$fot(and(t1,t2)))]]) ).
cnf(refute_0_10034,plain,
( not(and(t1,t2)) != xor(t1,t2)
| not(or(and(t1,t2),Y)) != and(not(and(t1,t2)),not(Y))
| not(or(and(t1,t2),Y)) = and(xor(t1,t2),not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(and(t1,t2),Y)),and(not(and(t1,t2)),not(Y))) ),[1,0],$fot(xor(t1,t2))]]) ).
cnf(refute_0_10035,plain,
( not(or(and(t1,t2),Y)) != and(not(and(t1,t2)),not(Y))
| not(or(and(t1,t2),Y)) = and(xor(t1,t2),not(Y)) ),
inference(resolve,[$cnf( $equal(not(and(t1,t2)),xor(t1,t2)) )],[refute_0_518,refute_0_10034]) ).
cnf(refute_0_10036,plain,
not(or(and(t1,t2),Y)) = and(xor(t1,t2),not(Y)),
inference(resolve,[$cnf( $equal(not(or(and(t1,t2),Y)),and(not(and(t1,t2)),not(Y))) )],[refute_0_10033,refute_0_10035]) ).
cnf(refute_0_10037,plain,
( not(or(and(t1,t2),Y)) != and(xor(t1,t2),not(Y))
| and(xor(t1,t2),not(Y)) = not(or(and(t1,t2),Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(and(t1,t2),Y)))),bind(Y0,$fot(and(xor(t1,t2),not(Y))))]]) ).
cnf(refute_0_10038,plain,
and(xor(t1,t2),not(Y)) = not(or(and(t1,t2),Y)),
inference(resolve,[$cnf( $equal(not(or(and(t1,t2),Y)),and(xor(t1,t2),not(Y))) )],[refute_0_10036,refute_0_10037]) ).
cnf(refute_0_10039,plain,
or(and(t1,and(t2,Y)),and(xor(t1,t2),not(Y))) = or(and(t1,and(t2,Y)),and(xor(t1,t2),not(Y))),
introduced(tautology,[refl,[$fot(or(and(t1,and(t2,Y)),and(xor(t1,t2),not(Y))))]]) ).
cnf(refute_0_10040,plain,
( and(xor(t1,t2),not(Y)) != not(or(and(t1,t2),Y))
| or(and(t1,and(t2,Y)),and(xor(t1,t2),not(Y))) != or(and(t1,and(t2,Y)),and(xor(t1,t2),not(Y)))
| or(and(t1,and(t2,Y)),and(xor(t1,t2),not(Y))) = or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t1,and(t2,Y)),and(xor(t1,t2),not(Y))),or(and(t1,and(t2,Y)),and(xor(t1,t2),not(Y)))) ),[1,1],$fot(not(or(and(t1,t2),Y)))]]) ).
cnf(refute_0_10041,plain,
( and(xor(t1,t2),not(Y)) != not(or(and(t1,t2),Y))
| or(and(t1,and(t2,Y)),and(xor(t1,t2),not(Y))) = or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))) ),
inference(resolve,[$cnf( $equal(or(and(t1,and(t2,Y)),and(xor(t1,t2),not(Y))),or(and(t1,and(t2,Y)),and(xor(t1,t2),not(Y)))) )],[refute_0_10039,refute_0_10040]) ).
cnf(refute_0_10042,plain,
or(and(t1,and(t2,Y)),and(xor(t1,t2),not(Y))) = or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))),
inference(resolve,[$cnf( $equal(and(xor(t1,t2),not(Y)),not(or(and(t1,t2),Y))) )],[refute_0_10038,refute_0_10041]) ).
cnf(refute_0_10043,plain,
and(and(t1,t2),Y) = and(t1,and(t2,Y)),
inference(subst,[],[and_associative:[bind(X,$fot(t1)),bind(Y,$fot(t2)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_10044,plain,
or(and(and(t1,t2),Y),and(xor(t1,t2),not(Y))) = or(and(and(t1,t2),Y),and(xor(t1,t2),not(Y))),
introduced(tautology,[refl,[$fot(or(and(and(t1,t2),Y),and(xor(t1,t2),not(Y))))]]) ).
cnf(refute_0_10045,plain,
( and(and(t1,t2),Y) != and(t1,and(t2,Y))
| or(and(and(t1,t2),Y),and(xor(t1,t2),not(Y))) != or(and(and(t1,t2),Y),and(xor(t1,t2),not(Y)))
| or(and(and(t1,t2),Y),and(xor(t1,t2),not(Y))) = or(and(t1,and(t2,Y)),and(xor(t1,t2),not(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(and(t1,t2),Y),and(xor(t1,t2),not(Y))),or(and(and(t1,t2),Y),and(xor(t1,t2),not(Y)))) ),[1,0],$fot(and(t1,and(t2,Y)))]]) ).
cnf(refute_0_10046,plain,
( and(and(t1,t2),Y) != and(t1,and(t2,Y))
| or(and(and(t1,t2),Y),and(xor(t1,t2),not(Y))) = or(and(t1,and(t2,Y)),and(xor(t1,t2),not(Y))) ),
inference(resolve,[$cnf( $equal(or(and(and(t1,t2),Y),and(xor(t1,t2),not(Y))),or(and(and(t1,t2),Y),and(xor(t1,t2),not(Y)))) )],[refute_0_10044,refute_0_10045]) ).
cnf(refute_0_10047,plain,
or(and(and(t1,t2),Y),and(xor(t1,t2),not(Y))) = or(and(t1,and(t2,Y)),and(xor(t1,t2),not(Y))),
inference(resolve,[$cnf( $equal(and(and(t1,t2),Y),and(t1,and(t2,Y))) )],[refute_0_10043,refute_0_10046]) ).
cnf(refute_0_10048,plain,
( or(and(and(t1,t2),Y),and(xor(t1,t2),not(Y))) != or(and(t1,and(t2,Y)),and(xor(t1,t2),not(Y)))
| or(and(t1,and(t2,Y)),and(xor(t1,t2),not(Y))) != or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y)))
| or(and(and(t1,t2),Y),and(xor(t1,t2),not(Y))) = or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(and(t1,t2),Y),and(xor(t1,t2),not(Y))))),bind(Y0,$fot(or(and(t1,and(t2,Y)),and(xor(t1,t2),not(Y))))),bind(Z0,$fot(or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y)))))]]) ).
cnf(refute_0_10049,plain,
( or(and(t1,and(t2,Y)),and(xor(t1,t2),not(Y))) != or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y)))
| or(and(and(t1,t2),Y),and(xor(t1,t2),not(Y))) = or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))) ),
inference(resolve,[$cnf( $equal(or(and(and(t1,t2),Y),and(xor(t1,t2),not(Y))),or(and(t1,and(t2,Y)),and(xor(t1,t2),not(Y)))) )],[refute_0_10047,refute_0_10048]) ).
cnf(refute_0_10050,plain,
or(and(and(t1,t2),Y),and(xor(t1,t2),not(Y))) = or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))),
inference(resolve,[$cnf( $equal(or(and(t1,and(t2,Y)),and(xor(t1,t2),not(Y))),or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y)))) )],[refute_0_10042,refute_0_10049]) ).
cnf(refute_0_10051,plain,
or(and(xor(t1,t2),not(Y)),and(and(t1,t2),Y)) = or(and(and(t1,t2),Y),and(xor(t1,t2),not(Y))),
inference(subst,[],[refute_0_5:[bind(X,$fot(and(and(t1,t2),Y))),bind(Y,$fot(and(xor(t1,t2),not(Y))))]]) ).
cnf(refute_0_10052,plain,
( or(and(and(t1,t2),Y),and(xor(t1,t2),not(Y))) != or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y)))
| or(and(xor(t1,t2),not(Y)),and(and(t1,t2),Y)) != or(and(and(t1,t2),Y),and(xor(t1,t2),not(Y)))
| or(and(xor(t1,t2),not(Y)),and(and(t1,t2),Y)) = or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(xor(t1,t2),not(Y)),and(and(t1,t2),Y)))),bind(Y0,$fot(or(and(and(t1,t2),Y),and(xor(t1,t2),not(Y))))),bind(Z0,$fot(or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y)))))]]) ).
cnf(refute_0_10053,plain,
( or(and(and(t1,t2),Y),and(xor(t1,t2),not(Y))) != or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y)))
| or(and(xor(t1,t2),not(Y)),and(and(t1,t2),Y)) = or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))) ),
inference(resolve,[$cnf( $equal(or(and(xor(t1,t2),not(Y)),and(and(t1,t2),Y)),or(and(and(t1,t2),Y),and(xor(t1,t2),not(Y)))) )],[refute_0_10051,refute_0_10052]) ).
cnf(refute_0_10054,plain,
or(and(xor(t1,t2),not(Y)),and(and(t1,t2),Y)) = or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))),
inference(resolve,[$cnf( $equal(or(and(and(t1,t2),Y),and(xor(t1,t2),not(Y))),or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y)))) )],[refute_0_10050,refute_0_10053]) ).
cnf(refute_0_10055,plain,
( or(and(xor(t1,t2),not(Y)),and(and(t1,t2),Y)) != or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y)))
| or(and(xor(t1,t2),not(Y)),and(and(t1,t2),Y)) != xor(xor(t1,t2),Y)
| or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))) = xor(xor(t1,t2),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(t1,t2),not(Y)),and(and(t1,t2),Y)),xor(xor(t1,t2),Y)) ),[0],$fot(or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))))]]) ).
cnf(refute_0_10056,plain,
( or(and(xor(t1,t2),not(Y)),and(and(t1,t2),Y)) != xor(xor(t1,t2),Y)
| or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))) = xor(xor(t1,t2),Y) ),
inference(resolve,[$cnf( $equal(or(and(xor(t1,t2),not(Y)),and(and(t1,t2),Y)),or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y)))) )],[refute_0_10054,refute_0_10055]) ).
cnf(refute_0_10057,plain,
xor(xor(t1,t2),Y) = xor(t1,xor(t2,Y)),
inference(subst,[],[refute_0_526:[bind(X,$fot(t1)),bind(Y,$fot(t2)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_10058,plain,
( or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))) != xor(xor(t1,t2),Y)
| xor(xor(t1,t2),Y) != xor(t1,xor(t2,Y))
| or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))) = xor(t1,xor(t2,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))),xor(t1,xor(t2,Y))) ),[0],$fot(xor(xor(t1,t2),Y))]]) ).
cnf(refute_0_10059,plain,
( or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))) != xor(xor(t1,t2),Y)
| or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))) = xor(t1,xor(t2,Y)) ),
inference(resolve,[$cnf( $equal(xor(xor(t1,t2),Y),xor(t1,xor(t2,Y))) )],[refute_0_10057,refute_0_10058]) ).
cnf(refute_0_10060,plain,
( or(and(xor(t1,t2),not(Y)),and(and(t1,t2),Y)) != xor(xor(t1,t2),Y)
| or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))) = xor(t1,xor(t2,Y)) ),
inference(resolve,[$cnf( $equal(or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))),xor(xor(t1,t2),Y)) )],[refute_0_10056,refute_0_10059]) ).
cnf(refute_0_10061,plain,
or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))) = xor(t1,xor(t2,Y)),
inference(resolve,[$cnf( $equal(or(and(xor(t1,t2),not(Y)),and(and(t1,t2),Y)),xor(xor(t1,t2),Y)) )],[refute_0_10032,refute_0_10060]) ).
cnf(refute_0_10062,plain,
or(and(t1,and(t2,Y)),and(a,not(Y))) = or(and(a,not(Y)),and(t1,and(t2,Y))),
inference(subst,[],[refute_0_5:[bind(X,$fot(and(a,not(Y)))),bind(Y,$fot(and(t1,and(t2,Y))))]]) ).
cnf(refute_0_10063,plain,
not(or(not(a),Y)) = and(a,not(Y)),
inference(subst,[],[refute_0_159:[bind(X,$fot(a)),bind(X_26,$fot(Y))]]) ).
cnf(refute_0_10064,plain,
or(and(t1,t2),Y) = or(and(t1,t2),Y),
introduced(tautology,[refl,[$fot(or(and(t1,t2),Y))]]) ).
cnf(refute_0_10065,plain,
( and(t1,t2) != not(a)
| or(and(t1,t2),Y) != or(and(t1,t2),Y)
| or(and(t1,t2),Y) = or(not(a),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t1,t2),Y),or(and(t1,t2),Y)) ),[1,0],$fot(not(a))]]) ).
cnf(refute_0_10066,plain,
( and(t1,t2) != not(a)
| or(and(t1,t2),Y) = or(not(a),Y) ),
inference(resolve,[$cnf( $equal(or(and(t1,t2),Y),or(and(t1,t2),Y)) )],[refute_0_10064,refute_0_10065]) ).
cnf(refute_0_10067,plain,
or(and(t1,t2),Y) = or(not(a),Y),
inference(resolve,[$cnf( $equal(and(t1,t2),not(a)) )],[refute_0_597,refute_0_10066]) ).
cnf(refute_0_10068,plain,
not(or(and(t1,t2),Y)) = not(or(and(t1,t2),Y)),
introduced(tautology,[refl,[$fot(not(or(and(t1,t2),Y)))]]) ).
cnf(refute_0_10069,plain,
( not(or(and(t1,t2),Y)) != not(or(and(t1,t2),Y))
| or(and(t1,t2),Y) != or(not(a),Y)
| not(or(and(t1,t2),Y)) = not(or(not(a),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(and(t1,t2),Y)),not(or(and(t1,t2),Y))) ),[1,0],$fot(or(not(a),Y))]]) ).
cnf(refute_0_10070,plain,
( or(and(t1,t2),Y) != or(not(a),Y)
| not(or(and(t1,t2),Y)) = not(or(not(a),Y)) ),
inference(resolve,[$cnf( $equal(not(or(and(t1,t2),Y)),not(or(and(t1,t2),Y))) )],[refute_0_10068,refute_0_10069]) ).
cnf(refute_0_10071,plain,
not(or(and(t1,t2),Y)) = not(or(not(a),Y)),
inference(resolve,[$cnf( $equal(or(and(t1,t2),Y),or(not(a),Y)) )],[refute_0_10067,refute_0_10070]) ).
cnf(refute_0_10072,plain,
( not(or(and(t1,t2),Y)) != not(or(not(a),Y))
| not(or(not(a),Y)) != and(a,not(Y))
| not(or(and(t1,t2),Y)) = and(a,not(Y)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(and(t1,t2),Y)))),bind(Y0,$fot(not(or(not(a),Y)))),bind(Z0,$fot(and(a,not(Y))))]]) ).
cnf(refute_0_10073,plain,
( not(or(not(a),Y)) != and(a,not(Y))
| not(or(and(t1,t2),Y)) = and(a,not(Y)) ),
inference(resolve,[$cnf( $equal(not(or(and(t1,t2),Y)),not(or(not(a),Y))) )],[refute_0_10071,refute_0_10072]) ).
cnf(refute_0_10074,plain,
not(or(and(t1,t2),Y)) = and(a,not(Y)),
inference(resolve,[$cnf( $equal(not(or(not(a),Y)),and(a,not(Y))) )],[refute_0_10063,refute_0_10073]) ).
cnf(refute_0_10075,plain,
or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))) = or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))),
introduced(tautology,[refl,[$fot(or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))))]]) ).
cnf(refute_0_10076,plain,
( not(or(and(t1,t2),Y)) != and(a,not(Y))
| or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))) != or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y)))
| or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))) = or(and(t1,and(t2,Y)),and(a,not(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))),or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y)))) ),[1,1],$fot(and(a,not(Y)))]]) ).
cnf(refute_0_10077,plain,
( not(or(and(t1,t2),Y)) != and(a,not(Y))
| or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))) = or(and(t1,and(t2,Y)),and(a,not(Y))) ),
inference(resolve,[$cnf( $equal(or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))),or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y)))) )],[refute_0_10075,refute_0_10076]) ).
cnf(refute_0_10078,plain,
or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))) = or(and(t1,and(t2,Y)),and(a,not(Y))),
inference(resolve,[$cnf( $equal(not(or(and(t1,t2),Y)),and(a,not(Y))) )],[refute_0_10074,refute_0_10077]) ).
cnf(refute_0_10079,plain,
( or(and(t1,and(t2,Y)),and(a,not(Y))) != or(and(a,not(Y)),and(t1,and(t2,Y)))
| or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))) != or(and(t1,and(t2,Y)),and(a,not(Y)))
| or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))) = or(and(a,not(Y)),and(t1,and(t2,Y))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))))),bind(Y0,$fot(or(and(t1,and(t2,Y)),and(a,not(Y))))),bind(Z0,$fot(or(and(a,not(Y)),and(t1,and(t2,Y)))))]]) ).
cnf(refute_0_10080,plain,
( or(and(t1,and(t2,Y)),and(a,not(Y))) != or(and(a,not(Y)),and(t1,and(t2,Y)))
| or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))) = or(and(a,not(Y)),and(t1,and(t2,Y))) ),
inference(resolve,[$cnf( $equal(or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))),or(and(t1,and(t2,Y)),and(a,not(Y)))) )],[refute_0_10078,refute_0_10079]) ).
cnf(refute_0_10081,plain,
or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))) = or(and(a,not(Y)),and(t1,and(t2,Y))),
inference(resolve,[$cnf( $equal(or(and(t1,and(t2,Y)),and(a,not(Y))),or(and(a,not(Y)),and(t1,and(t2,Y)))) )],[refute_0_10062,refute_0_10080]) ).
cnf(refute_0_10082,plain,
( or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))) != or(and(a,not(Y)),and(t1,and(t2,Y)))
| or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))) != xor(t1,xor(t2,Y))
| or(and(a,not(Y)),and(t1,and(t2,Y))) = xor(t1,xor(t2,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))),xor(t1,xor(t2,Y))) ),[0],$fot(or(and(a,not(Y)),and(t1,and(t2,Y))))]]) ).
cnf(refute_0_10083,plain,
( or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))) != xor(t1,xor(t2,Y))
| or(and(a,not(Y)),and(t1,and(t2,Y))) = xor(t1,xor(t2,Y)) ),
inference(resolve,[$cnf( $equal(or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))),or(and(a,not(Y)),and(t1,and(t2,Y)))) )],[refute_0_10081,refute_0_10082]) ).
cnf(refute_0_10084,plain,
or(and(a,not(Y)),and(t1,and(t2,Y))) = xor(t1,xor(t2,Y)),
inference(resolve,[$cnf( $equal(or(and(t1,and(t2,Y)),not(or(and(t1,t2),Y))),xor(t1,xor(t2,Y))) )],[refute_0_10061,refute_0_10083]) ).
cnf(refute_0_10085,plain,
or(and(a,not(Y)),and(not(a),Y)) = xor(a,Y),
inference(subst,[],[refute_0_9:[bind(X,$fot(a))]]) ).
cnf(refute_0_10086,plain,
( and(not(a),Z) != and(t1,and(t2,Z))
| and(t1,and(t2,Z)) = and(not(a),Z) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(a),Z))),bind(Y0,$fot(and(t1,and(t2,Z))))]]) ).
cnf(refute_0_10087,plain,
and(t1,and(t2,Z)) = and(not(a),Z),
inference(resolve,[$cnf( $equal(and(not(a),Z),and(t1,and(t2,Z))) )],[refute_0_600,refute_0_10086]) ).
cnf(refute_0_10088,plain,
and(t1,and(t2,Y)) = and(not(a),Y),
inference(subst,[],[refute_0_10087:[bind(Z,$fot(Y))]]) ).
cnf(refute_0_10089,plain,
or(and(a,not(Y)),and(t1,and(t2,Y))) = or(and(a,not(Y)),and(t1,and(t2,Y))),
introduced(tautology,[refl,[$fot(or(and(a,not(Y)),and(t1,and(t2,Y))))]]) ).
cnf(refute_0_10090,plain,
( and(t1,and(t2,Y)) != and(not(a),Y)
| or(and(a,not(Y)),and(t1,and(t2,Y))) != or(and(a,not(Y)),and(t1,and(t2,Y)))
| or(and(a,not(Y)),and(t1,and(t2,Y))) = or(and(a,not(Y)),and(not(a),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(a,not(Y)),and(t1,and(t2,Y))),or(and(a,not(Y)),and(t1,and(t2,Y)))) ),[1,1],$fot(and(not(a),Y))]]) ).
cnf(refute_0_10091,plain,
( and(t1,and(t2,Y)) != and(not(a),Y)
| or(and(a,not(Y)),and(t1,and(t2,Y))) = or(and(a,not(Y)),and(not(a),Y)) ),
inference(resolve,[$cnf( $equal(or(and(a,not(Y)),and(t1,and(t2,Y))),or(and(a,not(Y)),and(t1,and(t2,Y)))) )],[refute_0_10089,refute_0_10090]) ).
cnf(refute_0_10092,plain,
or(and(a,not(Y)),and(t1,and(t2,Y))) = or(and(a,not(Y)),and(not(a),Y)),
inference(resolve,[$cnf( $equal(and(t1,and(t2,Y)),and(not(a),Y)) )],[refute_0_10088,refute_0_10091]) ).
cnf(refute_0_10093,plain,
( or(and(a,not(Y)),and(not(a),Y)) != xor(a,Y)
| or(and(a,not(Y)),and(t1,and(t2,Y))) != or(and(a,not(Y)),and(not(a),Y))
| or(and(a,not(Y)),and(t1,and(t2,Y))) = xor(a,Y) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(a,not(Y)),and(t1,and(t2,Y))))),bind(Y0,$fot(or(and(a,not(Y)),and(not(a),Y)))),bind(Z0,$fot(xor(a,Y)))]]) ).
cnf(refute_0_10094,plain,
( or(and(a,not(Y)),and(not(a),Y)) != xor(a,Y)
| or(and(a,not(Y)),and(t1,and(t2,Y))) = xor(a,Y) ),
inference(resolve,[$cnf( $equal(or(and(a,not(Y)),and(t1,and(t2,Y))),or(and(a,not(Y)),and(not(a),Y))) )],[refute_0_10092,refute_0_10093]) ).
cnf(refute_0_10095,plain,
or(and(a,not(Y)),and(t1,and(t2,Y))) = xor(a,Y),
inference(resolve,[$cnf( $equal(or(and(a,not(Y)),and(not(a),Y)),xor(a,Y)) )],[refute_0_10085,refute_0_10094]) ).
cnf(refute_0_10096,plain,
( or(and(a,not(Y)),and(t1,and(t2,Y))) != xor(a,Y)
| or(and(a,not(Y)),and(t1,and(t2,Y))) != xor(t1,xor(t2,Y))
| xor(a,Y) = xor(t1,xor(t2,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(a,not(Y)),and(t1,and(t2,Y))),xor(t1,xor(t2,Y))) ),[0],$fot(xor(a,Y))]]) ).
cnf(refute_0_10097,plain,
( or(and(a,not(Y)),and(t1,and(t2,Y))) != xor(t1,xor(t2,Y))
| xor(a,Y) = xor(t1,xor(t2,Y)) ),
inference(resolve,[$cnf( $equal(or(and(a,not(Y)),and(t1,and(t2,Y))),xor(a,Y)) )],[refute_0_10095,refute_0_10096]) ).
cnf(refute_0_10098,plain,
xor(a,Y) = xor(t1,xor(t2,Y)),
inference(resolve,[$cnf( $equal(or(and(a,not(Y)),and(t1,and(t2,Y))),xor(t1,xor(t2,Y))) )],[refute_0_10084,refute_0_10097]) ).
cnf(refute_0_10099,plain,
( xor(a,Y) != xor(t1,xor(t2,Y))
| xor(t1,xor(t2,Y)) = xor(a,Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(a,Y))),bind(Y0,$fot(xor(t1,xor(t2,Y))))]]) ).
cnf(refute_0_10100,plain,
xor(t1,xor(t2,Y)) = xor(a,Y),
inference(resolve,[$cnf( $equal(xor(a,Y),xor(t1,xor(t2,Y))) )],[refute_0_10098,refute_0_10099]) ).
cnf(refute_0_10101,plain,
xor(t1,xor(t2,or(b,t2))) = xor(a,or(b,t2)),
inference(subst,[],[refute_0_10100:[bind(Y,$fot(or(b,t2)))]]) ).
cnf(refute_0_10102,plain,
( and(t1,not(xor(t2,or(b,t2)))) != xor(t1,xor(t2,or(b,t2)))
| xor(t1,xor(t2,or(b,t2))) != xor(a,or(b,t2))
| and(t1,not(xor(t2,or(b,t2)))) = xor(a,or(b,t2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t1,not(xor(t2,or(b,t2)))),xor(a,or(b,t2))) ),[0],$fot(xor(t1,xor(t2,or(b,t2))))]]) ).
cnf(refute_0_10103,plain,
( and(t1,not(xor(t2,or(b,t2)))) != xor(t1,xor(t2,or(b,t2)))
| and(t1,not(xor(t2,or(b,t2)))) = xor(a,or(b,t2)) ),
inference(resolve,[$cnf( $equal(xor(t1,xor(t2,or(b,t2))),xor(a,or(b,t2))) )],[refute_0_10101,refute_0_10102]) ).
cnf(refute_0_10104,plain,
and(t1,not(xor(t2,or(b,t2)))) = xor(a,or(b,t2)),
inference(resolve,[$cnf( $equal(and(t1,not(xor(t2,or(b,t2)))),xor(t1,xor(t2,or(b,t2)))) )],[refute_0_10028,refute_0_10103]) ).
cnf(refute_0_10105,plain,
and(t1,ll1) = t1,
inference(subst,[],[and_identity:[bind(X,$fot(t1))]]) ).
cnf(refute_0_10106,plain,
not(xor(t2,or(b,t2))) = not(xor(t2,or(b,t2))),
introduced(tautology,[refl,[$fot(not(xor(t2,or(b,t2))))]]) ).
cnf(refute_0_10107,plain,
( not(xor(t2,or(b,t2))) != not(xor(t2,or(b,t2)))
| xor(t2,or(b,t2)) != ll0
| not(xor(t2,or(b,t2))) = not(ll0) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t2,or(b,t2))),not(xor(t2,or(b,t2)))) ),[1,0],$fot(ll0)]]) ).
cnf(refute_0_10108,plain,
( xor(t2,or(b,t2)) != ll0
| not(xor(t2,or(b,t2))) = not(ll0) ),
inference(resolve,[$cnf( $equal(not(xor(t2,or(b,t2))),not(xor(t2,or(b,t2)))) )],[refute_0_10106,refute_0_10107]) ).
cnf(refute_0_10109,plain,
not(xor(t2,or(b,t2))) = not(ll0),
inference(resolve,[$cnf( $equal(xor(t2,or(b,t2)),ll0) )],[refute_0_6965,refute_0_10108]) ).
cnf(refute_0_10110,plain,
( not(ll0) != ll1
| not(xor(t2,or(b,t2))) != not(ll0)
| not(xor(t2,or(b,t2))) = ll1 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t2,or(b,t2))))),bind(Y0,$fot(not(ll0))),bind(Z0,$fot(ll1))]]) ).
cnf(refute_0_10111,plain,
( not(ll0) != ll1
| not(xor(t2,or(b,t2))) = ll1 ),
inference(resolve,[$cnf( $equal(not(xor(t2,or(b,t2))),not(ll0)) )],[refute_0_10109,refute_0_10110]) ).
cnf(refute_0_10112,plain,
not(xor(t2,or(b,t2))) = ll1,
inference(resolve,[$cnf( $equal(not(ll0),ll1) )],[ll0_inverse,refute_0_10111]) ).
cnf(refute_0_10113,plain,
and(t1,not(xor(t2,or(b,t2)))) = and(t1,not(xor(t2,or(b,t2)))),
introduced(tautology,[refl,[$fot(and(t1,not(xor(t2,or(b,t2)))))]]) ).
cnf(refute_0_10114,plain,
( and(t1,not(xor(t2,or(b,t2)))) != and(t1,not(xor(t2,or(b,t2))))
| not(xor(t2,or(b,t2))) != ll1
| and(t1,not(xor(t2,or(b,t2)))) = and(t1,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,not(xor(t2,or(b,t2)))),and(t1,not(xor(t2,or(b,t2))))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_10115,plain,
( not(xor(t2,or(b,t2))) != ll1
| and(t1,not(xor(t2,or(b,t2)))) = and(t1,ll1) ),
inference(resolve,[$cnf( $equal(and(t1,not(xor(t2,or(b,t2)))),and(t1,not(xor(t2,or(b,t2))))) )],[refute_0_10113,refute_0_10114]) ).
cnf(refute_0_10116,plain,
and(t1,not(xor(t2,or(b,t2)))) = and(t1,ll1),
inference(resolve,[$cnf( $equal(not(xor(t2,or(b,t2))),ll1) )],[refute_0_10112,refute_0_10115]) ).
cnf(refute_0_10117,plain,
( and(t1,ll1) != t1
| and(t1,not(xor(t2,or(b,t2)))) != and(t1,ll1)
| and(t1,not(xor(t2,or(b,t2)))) = t1 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t1,not(xor(t2,or(b,t2)))))),bind(Y0,$fot(and(t1,ll1))),bind(Z0,$fot(t1))]]) ).
cnf(refute_0_10118,plain,
( and(t1,ll1) != t1
| and(t1,not(xor(t2,or(b,t2)))) = t1 ),
inference(resolve,[$cnf( $equal(and(t1,not(xor(t2,or(b,t2)))),and(t1,ll1)) )],[refute_0_10116,refute_0_10117]) ).
cnf(refute_0_10119,plain,
and(t1,not(xor(t2,or(b,t2)))) = t1,
inference(resolve,[$cnf( $equal(and(t1,ll1),t1) )],[refute_0_10105,refute_0_10118]) ).
cnf(refute_0_10120,plain,
( and(t1,not(xor(t2,or(b,t2)))) != t1
| and(t1,not(xor(t2,or(b,t2)))) != xor(a,or(b,t2))
| t1 = xor(a,or(b,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,not(xor(t2,or(b,t2)))),xor(a,or(b,t2))) ),[0],$fot(t1)]]) ).
cnf(refute_0_10121,plain,
( and(t1,not(xor(t2,or(b,t2)))) != xor(a,or(b,t2))
| t1 = xor(a,or(b,t2)) ),
inference(resolve,[$cnf( $equal(and(t1,not(xor(t2,or(b,t2)))),t1) )],[refute_0_10119,refute_0_10120]) ).
cnf(refute_0_10122,plain,
xor(a,or(b,t2)) = xor(a,or(b,t2)),
introduced(tautology,[refl,[$fot(xor(a,or(b,t2)))]]) ).
cnf(refute_0_10123,plain,
( or(b,t2) != t2
| xor(a,or(b,t2)) != xor(a,or(b,t2))
| xor(a,or(b,t2)) = xor(a,t2) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,or(b,t2)),xor(a,or(b,t2))) ),[1,1],$fot(t2)]]) ).
cnf(refute_0_10124,plain,
( or(b,t2) != t2
| xor(a,or(b,t2)) = xor(a,t2) ),
inference(resolve,[$cnf( $equal(xor(a,or(b,t2)),xor(a,or(b,t2))) )],[refute_0_10122,refute_0_10123]) ).
cnf(refute_0_10125,plain,
xor(a,or(b,t2)) = xor(a,t2),
inference(resolve,[$cnf( $equal(or(b,t2),t2) )],[refute_0_6977,refute_0_10124]) ).
cnf(refute_0_10126,plain,
( t1 != xor(a,or(b,t2))
| xor(a,or(b,t2)) != xor(a,t2)
| t1 = xor(a,t2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(t1,xor(a,t2)) ),[0],$fot(xor(a,or(b,t2)))]]) ).
cnf(refute_0_10127,plain,
( t1 != xor(a,or(b,t2))
| t1 = xor(a,t2) ),
inference(resolve,[$cnf( $equal(xor(a,or(b,t2)),xor(a,t2)) )],[refute_0_10125,refute_0_10126]) ).
cnf(refute_0_10128,plain,
( and(t1,not(xor(t2,or(b,t2)))) != xor(a,or(b,t2))
| t1 = xor(a,t2) ),
inference(resolve,[$cnf( $equal(t1,xor(a,or(b,t2))) )],[refute_0_10121,refute_0_10127]) ).
cnf(refute_0_10129,plain,
t1 = xor(a,t2),
inference(resolve,[$cnf( $equal(and(t1,not(xor(t2,or(b,t2)))),xor(a,or(b,t2))) )],[refute_0_10104,refute_0_10128]) ).
cnf(refute_0_10130,plain,
( t1 != xor(a,t2)
| xor(a,t2) = t1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(t1)),bind(Y0,$fot(xor(a,t2)))]]) ).
cnf(refute_0_10131,plain,
xor(a,t2) = t1,
inference(resolve,[$cnf( $equal(t1,xor(a,t2)) )],[refute_0_10129,refute_0_10130]) ).
cnf(refute_0_10132,plain,
or(X,xor(a,t2)) = or(X,xor(a,t2)),
introduced(tautology,[refl,[$fot(or(X,xor(a,t2)))]]) ).
cnf(refute_0_10133,plain,
( or(X,xor(a,t2)) != or(X,xor(a,t2))
| xor(a,t2) != t1
| or(X,xor(a,t2)) = or(X,t1) ),
introduced(tautology,[equality,[$cnf( $equal(or(X,xor(a,t2)),or(X,xor(a,t2))) ),[1,1],$fot(t1)]]) ).
cnf(refute_0_10134,plain,
( xor(a,t2) != t1
| or(X,xor(a,t2)) = or(X,t1) ),
inference(resolve,[$cnf( $equal(or(X,xor(a,t2)),or(X,xor(a,t2))) )],[refute_0_10132,refute_0_10133]) ).
cnf(refute_0_10135,plain,
or(X,xor(a,t2)) = or(X,t1),
inference(resolve,[$cnf( $equal(xor(a,t2),t1) )],[refute_0_10131,refute_0_10134]) ).
cnf(refute_0_10136,plain,
not(or(X,xor(a,t2))) = not(or(X,xor(a,t2))),
introduced(tautology,[refl,[$fot(not(or(X,xor(a,t2))))]]) ).
cnf(refute_0_10137,plain,
( not(or(X,xor(a,t2))) != not(or(X,xor(a,t2)))
| or(X,xor(a,t2)) != or(X,t1)
| not(or(X,xor(a,t2))) = not(or(X,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(a,t2))),not(or(X,xor(a,t2)))) ),[1,0],$fot(or(X,t1))]]) ).
cnf(refute_0_10138,plain,
( or(X,xor(a,t2)) != or(X,t1)
| not(or(X,xor(a,t2))) = not(or(X,t1)) ),
inference(resolve,[$cnf( $equal(not(or(X,xor(a,t2))),not(or(X,xor(a,t2)))) )],[refute_0_10136,refute_0_10137]) ).
cnf(refute_0_10139,plain,
not(or(X,xor(a,t2))) = not(or(X,t1)),
inference(resolve,[$cnf( $equal(or(X,xor(a,t2)),or(X,t1)) )],[refute_0_10135,refute_0_10138]) ).
cnf(refute_0_10140,plain,
( not(or(X,xor(a,t2))) != not(or(X,t1))
| not(or(X,xor(a,t2))) != not(or(xor(a,t2),X))
| not(or(X,t1)) = not(or(xor(a,t2),X)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(a,t2))),not(or(xor(a,t2),X))) ),[0],$fot(not(or(X,t1)))]]) ).
cnf(refute_0_10141,plain,
( not(or(X,xor(a,t2))) != not(or(xor(a,t2),X))
| not(or(X,t1)) = not(or(xor(a,t2),X)) ),
inference(resolve,[$cnf( $equal(not(or(X,xor(a,t2))),not(or(X,t1))) )],[refute_0_10139,refute_0_10140]) ).
cnf(refute_0_10142,plain,
or(xor(a,t2),X) = or(xor(a,t2),X),
introduced(tautology,[refl,[$fot(or(xor(a,t2),X))]]) ).
cnf(refute_0_10143,plain,
( or(xor(a,t2),X) != or(xor(a,t2),X)
| xor(a,t2) != t1
| or(xor(a,t2),X) = or(t1,X) ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(a,t2),X),or(xor(a,t2),X)) ),[1,0],$fot(t1)]]) ).
cnf(refute_0_10144,plain,
( xor(a,t2) != t1
| or(xor(a,t2),X) = or(t1,X) ),
inference(resolve,[$cnf( $equal(or(xor(a,t2),X),or(xor(a,t2),X)) )],[refute_0_10142,refute_0_10143]) ).
cnf(refute_0_10145,plain,
or(xor(a,t2),X) = or(t1,X),
inference(resolve,[$cnf( $equal(xor(a,t2),t1) )],[refute_0_10131,refute_0_10144]) ).
cnf(refute_0_10146,plain,
not(or(xor(a,t2),X)) = not(or(xor(a,t2),X)),
introduced(tautology,[refl,[$fot(not(or(xor(a,t2),X)))]]) ).
cnf(refute_0_10147,plain,
( not(or(xor(a,t2),X)) != not(or(xor(a,t2),X))
| or(xor(a,t2),X) != or(t1,X)
| not(or(xor(a,t2),X)) = not(or(t1,X)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(a,t2),X)),not(or(xor(a,t2),X))) ),[1,0],$fot(or(t1,X))]]) ).
cnf(refute_0_10148,plain,
( or(xor(a,t2),X) != or(t1,X)
| not(or(xor(a,t2),X)) = not(or(t1,X)) ),
inference(resolve,[$cnf( $equal(not(or(xor(a,t2),X)),not(or(xor(a,t2),X))) )],[refute_0_10146,refute_0_10147]) ).
cnf(refute_0_10149,plain,
not(or(xor(a,t2),X)) = not(or(t1,X)),
inference(resolve,[$cnf( $equal(or(xor(a,t2),X),or(t1,X)) )],[refute_0_10145,refute_0_10148]) ).
cnf(refute_0_10150,plain,
( not(or(X,t1)) != not(or(xor(a,t2),X))
| not(or(xor(a,t2),X)) != not(or(t1,X))
| not(or(X,t1)) = not(or(t1,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(or(X,t1)),not(or(t1,X))) ),[0],$fot(not(or(xor(a,t2),X)))]]) ).
cnf(refute_0_10151,plain,
( not(or(X,t1)) != not(or(xor(a,t2),X))
| not(or(X,t1)) = not(or(t1,X)) ),
inference(resolve,[$cnf( $equal(not(or(xor(a,t2),X)),not(or(t1,X))) )],[refute_0_10149,refute_0_10150]) ).
cnf(refute_0_10152,plain,
( not(or(X,xor(a,t2))) != not(or(xor(a,t2),X))
| not(or(X,t1)) = not(or(t1,X)) ),
inference(resolve,[$cnf( $equal(not(or(X,t1)),not(or(xor(a,t2),X))) )],[refute_0_10141,refute_0_10151]) ).
cnf(refute_0_10153,plain,
not(or(X,t1)) = not(or(t1,X)),
inference(resolve,[$cnf( $equal(not(or(X,xor(a,t2))),not(or(xor(a,t2),X))) )],[refute_0_9981,refute_0_10152]) ).
cnf(refute_0_10154,plain,
not(or(t7,t1)) = not(or(t1,t7)),
inference(subst,[],[refute_0_10153:[bind(X,$fot(t7))]]) ).
cnf(refute_0_10155,plain,
and(not(t7),not(t1)) = not(or(t7,t1)),
inference(subst,[],[refute_0_101:[bind(X,$fot(t7)),bind(Y,$fot(t1))]]) ).
cnf(refute_0_10156,plain,
( and(not(t7),not(t1)) != not(or(t7,t1))
| not(or(t7,t1)) != not(or(t1,t7))
| and(not(t7),not(t1)) = not(or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t7),not(t1)))),bind(Y0,$fot(not(or(t7,t1)))),bind(Z0,$fot(not(or(t1,t7))))]]) ).
cnf(refute_0_10157,plain,
( not(or(t7,t1)) != not(or(t1,t7))
| and(not(t7),not(t1)) = not(or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(not(t7),not(t1)),not(or(t7,t1))) )],[refute_0_10155,refute_0_10156]) ).
cnf(refute_0_10158,plain,
and(not(t7),not(t1)) = not(or(t1,t7)),
inference(resolve,[$cnf( $equal(not(or(t7,t1)),not(or(t1,t7))) )],[refute_0_10154,refute_0_10157]) ).
cnf(refute_0_10159,plain,
and(t2,and(xor(t2,t7),not(t1))) = and(not(t7),not(t1)),
inference(subst,[],[refute_0_2707:[bind(Z,$fot(not(t1)))]]) ).
cnf(refute_0_10160,plain,
( and(not(t7),not(t1)) != not(or(t1,t7))
| and(t2,and(xor(t2,t7),not(t1))) != and(not(t7),not(t1))
| and(t2,and(xor(t2,t7),not(t1))) = not(or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t2,and(xor(t2,t7),not(t1))))),bind(Y0,$fot(and(not(t7),not(t1)))),bind(Z0,$fot(not(or(t1,t7))))]]) ).
cnf(refute_0_10161,plain,
( and(not(t7),not(t1)) != not(or(t1,t7))
| and(t2,and(xor(t2,t7),not(t1))) = not(or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(t2,and(xor(t2,t7),not(t1))),and(not(t7),not(t1))) )],[refute_0_10159,refute_0_10160]) ).
cnf(refute_0_10162,plain,
and(t2,and(xor(t2,t7),not(t1))) = not(or(t1,t7)),
inference(resolve,[$cnf( $equal(and(not(t7),not(t1)),not(or(t1,t7))) )],[refute_0_10158,refute_0_10161]) ).
cnf(refute_0_10163,plain,
( and(b,xor(t2,t7)) != and(t2,and(xor(t2,t7),not(t1)))
| and(t2,and(xor(t2,t7),not(t1))) != not(or(t1,t7))
| and(b,xor(t2,t7)) = not(or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(b,xor(t2,t7)),not(or(t1,t7))) ),[0],$fot(and(t2,and(xor(t2,t7),not(t1))))]]) ).
cnf(refute_0_10164,plain,
( and(b,xor(t2,t7)) != and(t2,and(xor(t2,t7),not(t1)))
| and(b,xor(t2,t7)) = not(or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(t2,and(xor(t2,t7),not(t1))),not(or(t1,t7))) )],[refute_0_10162,refute_0_10163]) ).
cnf(refute_0_10165,plain,
and(b,xor(t2,t7)) = not(or(t1,t7)),
inference(resolve,[$cnf( $equal(and(b,xor(t2,t7)),and(t2,and(xor(t2,t7),not(t1)))) )],[refute_0_9874,refute_0_10164]) ).
cnf(refute_0_10166,plain,
( and(b,xor(t2,t7)) != not(or(t1,t7))
| and(not(t1),xor(t2,t7)) != and(b,xor(t2,t7))
| and(not(t1),xor(t2,t7)) = not(or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t1),xor(t2,t7)),and(b,xor(t2,t7))) ),[1],$fot(not(or(t1,t7)))]]) ).
cnf(refute_0_10167,plain,
( and(not(t1),xor(t2,t7)) != and(b,xor(t2,t7))
| and(not(t1),xor(t2,t7)) = not(or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(b,xor(t2,t7)),not(or(t1,t7))) )],[refute_0_10165,refute_0_10166]) ).
cnf(refute_0_10168,plain,
and(not(t1),xor(t2,t7)) = not(or(t1,t7)),
inference(resolve,[$cnf( $equal(and(not(t1),xor(t2,t7)),and(b,xor(t2,t7))) )],[refute_0_9859,refute_0_10167]) ).
cnf(refute_0_10169,plain,
and(cin,and(not(t1),xor(t2,t7))) = and(cin,and(not(t1),xor(t2,t7))),
introduced(tautology,[refl,[$fot(and(cin,and(not(t1),xor(t2,t7))))]]) ).
cnf(refute_0_10170,plain,
( and(cin,and(not(t1),xor(t2,t7))) != and(cin,and(not(t1),xor(t2,t7)))
| and(not(t1),xor(t2,t7)) != not(or(t1,t7))
| and(cin,and(not(t1),xor(t2,t7))) = and(cin,not(or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,and(not(t1),xor(t2,t7))),and(cin,and(not(t1),xor(t2,t7)))) ),[1,1],$fot(not(or(t1,t7)))]]) ).
cnf(refute_0_10171,plain,
( and(not(t1),xor(t2,t7)) != not(or(t1,t7))
| and(cin,and(not(t1),xor(t2,t7))) = and(cin,not(or(t1,t7))) ),
inference(resolve,[$cnf( $equal(and(cin,and(not(t1),xor(t2,t7))),and(cin,and(not(t1),xor(t2,t7)))) )],[refute_0_10169,refute_0_10170]) ).
cnf(refute_0_10172,plain,
and(cin,and(not(t1),xor(t2,t7))) = and(cin,not(or(t1,t7))),
inference(resolve,[$cnf( $equal(and(not(t1),xor(t2,t7)),not(or(t1,t7))) )],[refute_0_10168,refute_0_10171]) ).
cnf(refute_0_10173,plain,
( and(cin,and(not(t1),xor(t2,t7))) != and(cin,not(or(t1,t7)))
| and(cin,not(or(t1,t7))) != not(or(t1,t7))
| and(cin,and(not(t1),xor(t2,t7))) = not(or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(cin,and(not(t1),xor(t2,t7))))),bind(Y0,$fot(and(cin,not(or(t1,t7))))),bind(Z0,$fot(not(or(t1,t7))))]]) ).
cnf(refute_0_10174,plain,
( and(cin,not(or(t1,t7))) != not(or(t1,t7))
| and(cin,and(not(t1),xor(t2,t7))) = not(or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(cin,and(not(t1),xor(t2,t7))),and(cin,not(or(t1,t7)))) )],[refute_0_10172,refute_0_10173]) ).
cnf(refute_0_10175,plain,
and(cin,and(not(t1),xor(t2,t7))) = not(or(t1,t7)),
inference(resolve,[$cnf( $equal(and(cin,not(or(t1,t7))),not(or(t1,t7))) )],[refute_0_9799,refute_0_10174]) ).
cnf(refute_0_10176,plain,
and(not(t1),and(cin,xor(t2,t7))) = and(cin,and(not(t1),xor(t2,t7))),
inference(subst,[],[refute_0_4220:[bind(X,$fot(cin)),bind(Z,$fot(xor(t2,t7))),bind(X_669,$fot(not(t1)))]]) ).
cnf(refute_0_10177,plain,
and(cin,and(not(t1),and(cin,xor(t2,t7)))) = and(not(t1),and(cin,xor(t2,t7))),
inference(subst,[],[refute_0_4205:[bind(X,$fot(not(t1))),bind(Y,$fot(cin)),bind(X_669,$fot(xor(t2,t7)))]]) ).
cnf(refute_0_10178,plain,
( and(cin,and(not(t1),and(cin,xor(t2,t7)))) != and(not(t1),and(cin,xor(t2,t7)))
| and(not(t1),and(cin,xor(t2,t7))) != and(cin,and(not(t1),xor(t2,t7)))
| and(cin,and(not(t1),and(cin,xor(t2,t7)))) = and(cin,and(not(t1),xor(t2,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(cin,and(not(t1),and(cin,xor(t2,t7)))))),bind(Y0,$fot(and(not(t1),and(cin,xor(t2,t7))))),bind(Z0,$fot(and(cin,and(not(t1),xor(t2,t7)))))]]) ).
cnf(refute_0_10179,plain,
( and(not(t1),and(cin,xor(t2,t7))) != and(cin,and(not(t1),xor(t2,t7)))
| and(cin,and(not(t1),and(cin,xor(t2,t7)))) = and(cin,and(not(t1),xor(t2,t7))) ),
inference(resolve,[$cnf( $equal(and(cin,and(not(t1),and(cin,xor(t2,t7)))),and(not(t1),and(cin,xor(t2,t7)))) )],[refute_0_10177,refute_0_10178]) ).
cnf(refute_0_10180,plain,
and(cin,and(not(t1),and(cin,xor(t2,t7)))) = and(cin,and(not(t1),xor(t2,t7))),
inference(resolve,[$cnf( $equal(and(not(t1),and(cin,xor(t2,t7))),and(cin,and(not(t1),xor(t2,t7)))) )],[refute_0_10176,refute_0_10179]) ).
cnf(refute_0_10181,plain,
and(cin,and(and(cin,xor(t2,t7)),not(t1))) = and(cin,and(not(t1),and(cin,xor(t2,t7)))),
inference(subst,[],[refute_0_2637:[bind(X_220,$fot(cin)),bind(X_221,$fot(not(t1))),bind(X_222,$fot(and(cin,xor(t2,t7))))]]) ).
cnf(refute_0_10182,plain,
( and(cin,and(and(cin,xor(t2,t7)),not(t1))) != and(cin,and(not(t1),and(cin,xor(t2,t7))))
| and(cin,and(not(t1),and(cin,xor(t2,t7)))) != and(cin,and(not(t1),xor(t2,t7)))
| and(cin,and(and(cin,xor(t2,t7)),not(t1))) = and(cin,and(not(t1),xor(t2,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(cin,and(and(cin,xor(t2,t7)),not(t1))))),bind(Y0,$fot(and(cin,and(not(t1),and(cin,xor(t2,t7)))))),bind(Z0,$fot(and(cin,and(not(t1),xor(t2,t7)))))]]) ).
cnf(refute_0_10183,plain,
( and(cin,and(not(t1),and(cin,xor(t2,t7)))) != and(cin,and(not(t1),xor(t2,t7)))
| and(cin,and(and(cin,xor(t2,t7)),not(t1))) = and(cin,and(not(t1),xor(t2,t7))) ),
inference(resolve,[$cnf( $equal(and(cin,and(and(cin,xor(t2,t7)),not(t1))),and(cin,and(not(t1),and(cin,xor(t2,t7))))) )],[refute_0_10181,refute_0_10182]) ).
cnf(refute_0_10184,plain,
and(cin,and(and(cin,xor(t2,t7)),not(t1))) = and(cin,and(not(t1),xor(t2,t7))),
inference(resolve,[$cnf( $equal(and(cin,and(not(t1),and(cin,xor(t2,t7)))),and(cin,and(not(t1),xor(t2,t7)))) )],[refute_0_10180,refute_0_10183]) ).
cnf(refute_0_10185,plain,
and(and(cin,xor(t2,t7)),and(cin,not(t1))) = and(cin,and(and(cin,xor(t2,t7)),not(t1))),
inference(subst,[],[refute_0_4220:[bind(X,$fot(cin)),bind(Z,$fot(not(t1))),bind(X_669,$fot(and(cin,xor(t2,t7))))]]) ).
cnf(refute_0_10186,plain,
( and(and(cin,xor(t2,t7)),and(cin,not(t1))) != and(cin,and(and(cin,xor(t2,t7)),not(t1)))
| and(cin,and(and(cin,xor(t2,t7)),not(t1))) != and(cin,and(not(t1),xor(t2,t7)))
| and(and(cin,xor(t2,t7)),and(cin,not(t1))) = and(cin,and(not(t1),xor(t2,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(cin,xor(t2,t7)),and(cin,not(t1))))),bind(Y0,$fot(and(cin,and(and(cin,xor(t2,t7)),not(t1))))),bind(Z0,$fot(and(cin,and(not(t1),xor(t2,t7)))))]]) ).
cnf(refute_0_10187,plain,
( and(cin,and(and(cin,xor(t2,t7)),not(t1))) != and(cin,and(not(t1),xor(t2,t7)))
| and(and(cin,xor(t2,t7)),and(cin,not(t1))) = and(cin,and(not(t1),xor(t2,t7))) ),
inference(resolve,[$cnf( $equal(and(and(cin,xor(t2,t7)),and(cin,not(t1))),and(cin,and(and(cin,xor(t2,t7)),not(t1)))) )],[refute_0_10185,refute_0_10186]) ).
cnf(refute_0_10188,plain,
and(and(cin,xor(t2,t7)),and(cin,not(t1))) = and(cin,and(not(t1),xor(t2,t7))),
inference(resolve,[$cnf( $equal(and(cin,and(and(cin,xor(t2,t7)),not(t1))),and(cin,and(not(t1),xor(t2,t7)))) )],[refute_0_10184,refute_0_10187]) ).
cnf(refute_0_10189,plain,
( and(and(cin,xor(t2,t7)),and(cin,not(t1))) != and(cin,and(not(t1),xor(t2,t7)))
| and(cin,and(not(t1),xor(t2,t7))) != not(or(t1,t7))
| and(and(cin,xor(t2,t7)),and(cin,not(t1))) = not(or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(cin,xor(t2,t7)),and(cin,not(t1))))),bind(Y0,$fot(and(cin,and(not(t1),xor(t2,t7))))),bind(Z0,$fot(not(or(t1,t7))))]]) ).
cnf(refute_0_10190,plain,
( and(cin,and(not(t1),xor(t2,t7))) != not(or(t1,t7))
| and(and(cin,xor(t2,t7)),and(cin,not(t1))) = not(or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(and(cin,xor(t2,t7)),and(cin,not(t1))),and(cin,and(not(t1),xor(t2,t7)))) )],[refute_0_10188,refute_0_10189]) ).
cnf(refute_0_10191,plain,
and(and(cin,xor(t2,t7)),and(cin,not(t1))) = not(or(t1,t7)),
inference(resolve,[$cnf( $equal(and(cin,and(not(t1),xor(t2,t7))),not(or(t1,t7))) )],[refute_0_10175,refute_0_10190]) ).
cnf(refute_0_10192,plain,
( and(and(cin,xor(t2,t7)),and(cin,not(t1))) != and(and(cin,xor(t2,t7)),b)
| and(and(cin,xor(t2,t7)),and(cin,not(t1))) != not(or(t1,t7))
| not(or(t1,t7)) = and(and(cin,xor(t2,t7)),b) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(cin,xor(t2,t7)),and(cin,not(t1))),and(and(cin,xor(t2,t7)),b)) ),[0],$fot(not(or(t1,t7)))]]) ).
cnf(refute_0_10193,plain,
( and(and(cin,xor(t2,t7)),and(cin,not(t1))) != and(and(cin,xor(t2,t7)),b)
| not(or(t1,t7)) = and(and(cin,xor(t2,t7)),b) ),
inference(resolve,[$cnf( $equal(and(and(cin,xor(t2,t7)),and(cin,not(t1))),not(or(t1,t7))) )],[refute_0_10191,refute_0_10192]) ).
cnf(refute_0_10194,plain,
and(cin,and(b,xor(t2,t7))) = and(b,and(cin,xor(t2,t7))),
inference(subst,[],[refute_0_4220:[bind(X,$fot(b)),bind(Z,$fot(xor(t2,t7))),bind(X_669,$fot(cin))]]) ).
cnf(refute_0_10195,plain,
( and(b,and(cin,xor(t2,t7))) != and(cin,not(t1))
| and(cin,and(b,xor(t2,t7))) != and(b,and(cin,xor(t2,t7)))
| and(cin,and(b,xor(t2,t7))) = and(cin,not(t1)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(cin,and(b,xor(t2,t7))))),bind(Y0,$fot(and(b,and(cin,xor(t2,t7))))),bind(Z0,$fot(and(cin,not(t1))))]]) ).
cnf(refute_0_10196,plain,
( and(b,and(cin,xor(t2,t7))) != and(cin,not(t1))
| and(cin,and(b,xor(t2,t7))) = and(cin,not(t1)) ),
inference(resolve,[$cnf( $equal(and(cin,and(b,xor(t2,t7))),and(b,and(cin,xor(t2,t7)))) )],[refute_0_10194,refute_0_10195]) ).
cnf(refute_0_10197,plain,
and(cin,and(b,xor(t2,t7))) = and(cin,not(t1)),
inference(resolve,[$cnf( $equal(and(b,and(cin,xor(t2,t7))),and(cin,not(t1))) )],[refute_0_9770,refute_0_10196]) ).
cnf(refute_0_10198,plain,
and(cin,and(xor(t2,t7),b)) = and(cin,and(b,xor(t2,t7))),
inference(subst,[],[refute_0_2637:[bind(X_220,$fot(cin)),bind(X_221,$fot(b)),bind(X_222,$fot(xor(t2,t7)))]]) ).
cnf(refute_0_10199,plain,
( and(cin,and(b,xor(t2,t7))) != and(cin,not(t1))
| and(cin,and(xor(t2,t7),b)) != and(cin,and(b,xor(t2,t7)))
| and(cin,and(xor(t2,t7),b)) = and(cin,not(t1)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(cin,and(xor(t2,t7),b)))),bind(Y0,$fot(and(cin,and(b,xor(t2,t7))))),bind(Z0,$fot(and(cin,not(t1))))]]) ).
cnf(refute_0_10200,plain,
( and(cin,and(b,xor(t2,t7))) != and(cin,not(t1))
| and(cin,and(xor(t2,t7),b)) = and(cin,not(t1)) ),
inference(resolve,[$cnf( $equal(and(cin,and(xor(t2,t7),b)),and(cin,and(b,xor(t2,t7)))) )],[refute_0_10198,refute_0_10199]) ).
cnf(refute_0_10201,plain,
and(cin,and(xor(t2,t7),b)) = and(cin,not(t1)),
inference(resolve,[$cnf( $equal(and(cin,and(b,xor(t2,t7))),and(cin,not(t1))) )],[refute_0_10197,refute_0_10200]) ).
cnf(refute_0_10202,plain,
and(and(cin,xor(t2,t7)),b) = and(cin,and(xor(t2,t7),b)),
inference(subst,[],[and_associative:[bind(X,$fot(cin)),bind(Y,$fot(xor(t2,t7))),bind(Z,$fot(b))]]) ).
cnf(refute_0_10203,plain,
( and(and(cin,xor(t2,t7)),b) != and(cin,and(xor(t2,t7),b))
| and(cin,and(xor(t2,t7),b)) != and(cin,not(t1))
| and(and(cin,xor(t2,t7)),b) = and(cin,not(t1)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(cin,xor(t2,t7)),b))),bind(Y0,$fot(and(cin,and(xor(t2,t7),b)))),bind(Z0,$fot(and(cin,not(t1))))]]) ).
cnf(refute_0_10204,plain,
( and(cin,and(xor(t2,t7),b)) != and(cin,not(t1))
| and(and(cin,xor(t2,t7)),b) = and(cin,not(t1)) ),
inference(resolve,[$cnf( $equal(and(and(cin,xor(t2,t7)),b),and(cin,and(xor(t2,t7),b))) )],[refute_0_10202,refute_0_10203]) ).
cnf(refute_0_10205,plain,
and(and(cin,xor(t2,t7)),b) = and(cin,not(t1)),
inference(resolve,[$cnf( $equal(and(cin,and(xor(t2,t7),b)),and(cin,not(t1))) )],[refute_0_10201,refute_0_10204]) ).
cnf(refute_0_10206,plain,
( and(and(cin,xor(t2,t7)),b) != and(cin,not(t1))
| not(or(t1,t7)) != and(and(cin,xor(t2,t7)),b)
| not(or(t1,t7)) = and(cin,not(t1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t1,t7)),and(and(cin,xor(t2,t7)),b)) ),[1],$fot(and(cin,not(t1)))]]) ).
cnf(refute_0_10207,plain,
( not(or(t1,t7)) != and(and(cin,xor(t2,t7)),b)
| not(or(t1,t7)) = and(cin,not(t1)) ),
inference(resolve,[$cnf( $equal(and(and(cin,xor(t2,t7)),b),and(cin,not(t1))) )],[refute_0_10205,refute_0_10206]) ).
cnf(refute_0_10208,plain,
( and(and(cin,xor(t2,t7)),and(cin,not(t1))) != and(and(cin,xor(t2,t7)),b)
| not(or(t1,t7)) = and(cin,not(t1)) ),
inference(resolve,[$cnf( $equal(not(or(t1,t7)),and(and(cin,xor(t2,t7)),b)) )],[refute_0_10193,refute_0_10207]) ).
cnf(refute_0_10209,plain,
not(or(t1,t7)) = and(cin,not(t1)),
inference(resolve,[$cnf( $equal(and(and(cin,xor(t2,t7)),and(cin,not(t1))),and(and(cin,xor(t2,t7)),b)) )],[refute_0_9773,refute_0_10208]) ).
cnf(refute_0_10210,plain,
( not(or(t1,t7)) != and(cin,not(t1))
| and(cin,not(t1)) = not(or(t1,t7)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(t1,t7)))),bind(Y0,$fot(and(cin,not(t1))))]]) ).
cnf(refute_0_10211,plain,
and(cin,not(t1)) = not(or(t1,t7)),
inference(resolve,[$cnf( $equal(not(or(t1,t7)),and(cin,not(t1))) )],[refute_0_10209,refute_0_10210]) ).
cnf(refute_0_10212,plain,
( and(cin,not(t1)) != not(or(t1,t7))
| xor(t6,and(cin,not(t1))) != xor(t6,and(not(t1),cin))
| xor(t6,not(or(t1,t7))) = xor(t6,and(not(t1),cin)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,and(cin,not(t1))),xor(t6,and(not(t1),cin))) ),[0,1],$fot(not(or(t1,t7)))]]) ).
cnf(refute_0_10213,plain,
( xor(t6,and(cin,not(t1))) != xor(t6,and(not(t1),cin))
| xor(t6,not(or(t1,t7))) = xor(t6,and(not(t1),cin)) ),
inference(resolve,[$cnf( $equal(and(cin,not(t1)),not(or(t1,t7))) )],[refute_0_10211,refute_0_10212]) ).
cnf(refute_0_10214,plain,
xor(t6,not(or(t1,t7))) = xor(t6,and(not(t1),cin)),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,not(t1))),xor(t6,and(not(t1),cin))) )],[refute_0_9510,refute_0_10213]) ).
cnf(refute_0_10215,plain,
xor(t6,not(or(t1,t7))) = not(xor(t6,or(t1,t7))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t6)),bind(X_334,$fot(or(t1,t7)))]]) ).
cnf(refute_0_10216,plain,
( xor(t6,not(or(t1,t7))) != not(xor(t6,or(t1,t7)))
| xor(t6,not(or(t1,t7))) != xor(t6,and(not(t1),cin))
| not(xor(t6,or(t1,t7))) = xor(t6,and(not(t1),cin)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,not(or(t1,t7))),xor(t6,and(not(t1),cin))) ),[0],$fot(not(xor(t6,or(t1,t7))))]]) ).
cnf(refute_0_10217,plain,
( xor(t6,not(or(t1,t7))) != xor(t6,and(not(t1),cin))
| not(xor(t6,or(t1,t7))) = xor(t6,and(not(t1),cin)) ),
inference(resolve,[$cnf( $equal(xor(t6,not(or(t1,t7))),not(xor(t6,or(t1,t7)))) )],[refute_0_10215,refute_0_10216]) ).
cnf(refute_0_10218,plain,
not(and(and(cin,xor(t2,t7)),b)) = not(and(b,and(cin,xor(t2,t7)))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(b)),bind(X_32,$fot(and(cin,xor(t2,t7))))]]) ).
cnf(refute_0_10219,plain,
( and(b,and(cin,xor(t2,t7))) != and(cin,not(t1))
| not(and(and(cin,xor(t2,t7)),b)) != not(and(b,and(cin,xor(t2,t7))))
| not(and(and(cin,xor(t2,t7)),b)) = not(and(cin,not(t1))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(cin,xor(t2,t7)),b)),not(and(b,and(cin,xor(t2,t7))))) ),[1,0],$fot(and(cin,not(t1)))]]) ).
cnf(refute_0_10220,plain,
( not(and(and(cin,xor(t2,t7)),b)) != not(and(b,and(cin,xor(t2,t7))))
| not(and(and(cin,xor(t2,t7)),b)) = not(and(cin,not(t1))) ),
inference(resolve,[$cnf( $equal(and(b,and(cin,xor(t2,t7))),and(cin,not(t1))) )],[refute_0_9770,refute_0_10219]) ).
cnf(refute_0_10221,plain,
not(and(and(cin,xor(t2,t7)),b)) = not(and(cin,not(t1))),
inference(resolve,[$cnf( $equal(not(and(and(cin,xor(t2,t7)),b)),not(and(b,and(cin,xor(t2,t7))))) )],[refute_0_10218,refute_0_10220]) ).
cnf(refute_0_10222,plain,
not(not(or(t1,t7))) = or(t1,t7),
inference(subst,[],[not_involution:[bind(X,$fot(or(t1,t7)))]]) ).
cnf(refute_0_10223,plain,
( and(b,and(cin,xor(t2,t7))) != and(cin,not(t1))
| and(cin,not(t1)) != not(or(t1,t7))
| and(b,and(cin,xor(t2,t7))) = not(or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(b,and(cin,xor(t2,t7))))),bind(Y0,$fot(and(cin,not(t1)))),bind(Z0,$fot(not(or(t1,t7))))]]) ).
cnf(refute_0_10224,plain,
( and(cin,not(t1)) != not(or(t1,t7))
| and(b,and(cin,xor(t2,t7))) = not(or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(b,and(cin,xor(t2,t7))),and(cin,not(t1))) )],[refute_0_9770,refute_0_10223]) ).
cnf(refute_0_10225,plain,
and(b,and(cin,xor(t2,t7))) = not(or(t1,t7)),
inference(resolve,[$cnf( $equal(and(cin,not(t1)),not(or(t1,t7))) )],[refute_0_10211,refute_0_10224]) ).
cnf(refute_0_10226,plain,
not(and(b,and(cin,xor(t2,t7)))) = not(and(b,and(cin,xor(t2,t7)))),
introduced(tautology,[refl,[$fot(not(and(b,and(cin,xor(t2,t7)))))]]) ).
cnf(refute_0_10227,plain,
( and(b,and(cin,xor(t2,t7))) != not(or(t1,t7))
| not(and(b,and(cin,xor(t2,t7)))) != not(and(b,and(cin,xor(t2,t7))))
| not(and(b,and(cin,xor(t2,t7)))) = not(not(or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(b,and(cin,xor(t2,t7)))),not(and(b,and(cin,xor(t2,t7))))) ),[1,0],$fot(not(or(t1,t7)))]]) ).
cnf(refute_0_10228,plain,
( and(b,and(cin,xor(t2,t7))) != not(or(t1,t7))
| not(and(b,and(cin,xor(t2,t7)))) = not(not(or(t1,t7))) ),
inference(resolve,[$cnf( $equal(not(and(b,and(cin,xor(t2,t7)))),not(and(b,and(cin,xor(t2,t7))))) )],[refute_0_10226,refute_0_10227]) ).
cnf(refute_0_10229,plain,
not(and(b,and(cin,xor(t2,t7)))) = not(not(or(t1,t7))),
inference(resolve,[$cnf( $equal(and(b,and(cin,xor(t2,t7))),not(or(t1,t7))) )],[refute_0_10225,refute_0_10228]) ).
cnf(refute_0_10230,plain,
( not(and(b,and(cin,xor(t2,t7)))) != not(not(or(t1,t7)))
| not(not(or(t1,t7))) != or(t1,t7)
| not(and(b,and(cin,xor(t2,t7)))) = or(t1,t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(b,and(cin,xor(t2,t7)))))),bind(Y0,$fot(not(not(or(t1,t7))))),bind(Z0,$fot(or(t1,t7)))]]) ).
cnf(refute_0_10231,plain,
( not(not(or(t1,t7))) != or(t1,t7)
| not(and(b,and(cin,xor(t2,t7)))) = or(t1,t7) ),
inference(resolve,[$cnf( $equal(not(and(b,and(cin,xor(t2,t7)))),not(not(or(t1,t7)))) )],[refute_0_10229,refute_0_10230]) ).
cnf(refute_0_10232,plain,
not(and(b,and(cin,xor(t2,t7)))) = or(t1,t7),
inference(resolve,[$cnf( $equal(not(not(or(t1,t7))),or(t1,t7)) )],[refute_0_10222,refute_0_10231]) ).
cnf(refute_0_10233,plain,
( not(and(and(cin,xor(t2,t7)),b)) != not(and(b,and(cin,xor(t2,t7))))
| not(and(b,and(cin,xor(t2,t7)))) != or(t1,t7)
| not(and(and(cin,xor(t2,t7)),b)) = or(t1,t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(and(cin,xor(t2,t7)),b)))),bind(Y0,$fot(not(and(b,and(cin,xor(t2,t7)))))),bind(Z0,$fot(or(t1,t7)))]]) ).
cnf(refute_0_10234,plain,
( not(and(b,and(cin,xor(t2,t7)))) != or(t1,t7)
| not(and(and(cin,xor(t2,t7)),b)) = or(t1,t7) ),
inference(resolve,[$cnf( $equal(not(and(and(cin,xor(t2,t7)),b)),not(and(b,and(cin,xor(t2,t7))))) )],[refute_0_10218,refute_0_10233]) ).
cnf(refute_0_10235,plain,
not(and(and(cin,xor(t2,t7)),b)) = or(t1,t7),
inference(resolve,[$cnf( $equal(not(and(b,and(cin,xor(t2,t7)))),or(t1,t7)) )],[refute_0_10232,refute_0_10234]) ).
cnf(refute_0_10236,plain,
( not(and(and(cin,xor(t2,t7)),b)) != not(and(cin,not(t1)))
| not(and(and(cin,xor(t2,t7)),b)) != or(t1,t7)
| or(t1,t7) = not(and(cin,not(t1))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(cin,xor(t2,t7)),b)),not(and(cin,not(t1)))) ),[0],$fot(or(t1,t7))]]) ).
cnf(refute_0_10237,plain,
( not(and(and(cin,xor(t2,t7)),b)) != not(and(cin,not(t1)))
| or(t1,t7) = not(and(cin,not(t1))) ),
inference(resolve,[$cnf( $equal(not(and(and(cin,xor(t2,t7)),b)),or(t1,t7)) )],[refute_0_10235,refute_0_10236]) ).
cnf(refute_0_10238,plain,
not(and(not(X),and(cin,or(t4,and(cin,sum))))) = or(X,not(and(cin,or(t4,and(cin,sum))))),
inference(subst,[],[refute_0_787:[bind(X_32,$fot(and(cin,or(t4,and(cin,sum)))))]]) ).
cnf(refute_0_10239,plain,
( not(and(cin,or(t4,and(cin,sum)))) != not(cin)
| not(and(not(X),and(cin,or(t4,and(cin,sum))))) != or(X,not(and(cin,or(t4,and(cin,sum)))))
| not(and(not(X),and(cin,or(t4,and(cin,sum))))) = or(X,not(cin)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(X),and(cin,or(t4,and(cin,sum))))),or(X,not(and(cin,or(t4,and(cin,sum)))))) ),[1,1],$fot(not(cin))]]) ).
cnf(refute_0_10240,plain,
( not(and(not(X),and(cin,or(t4,and(cin,sum))))) != or(X,not(and(cin,or(t4,and(cin,sum)))))
| not(and(not(X),and(cin,or(t4,and(cin,sum))))) = or(X,not(cin)) ),
inference(resolve,[$cnf( $equal(not(and(cin,or(t4,and(cin,sum)))),not(cin)) )],[refute_0_6420,refute_0_10239]) ).
cnf(refute_0_10241,plain,
not(and(not(X),and(cin,or(t4,and(cin,sum))))) = or(X,not(cin)),
inference(resolve,[$cnf( $equal(not(and(not(X),and(cin,or(t4,and(cin,sum))))),or(X,not(and(cin,or(t4,and(cin,sum)))))) )],[refute_0_10238,refute_0_10240]) ).
cnf(refute_0_10242,plain,
not(and(X_32,and(X_220,X_221))) = not(and(and(X_220,X_221),X_32)),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(and(X_220,X_221)))]]) ).
cnf(refute_0_10243,plain,
and(and(X_220,X_221),X_32) = and(X_220,and(X_221,X_32)),
inference(subst,[],[and_associative:[bind(X,$fot(X_220)),bind(Y,$fot(X_221)),bind(Z,$fot(X_32))]]) ).
cnf(refute_0_10244,plain,
( and(and(X_220,X_221),X_32) != and(X_220,and(X_221,X_32))
| not(and(X_32,and(X_220,X_221))) != not(and(and(X_220,X_221),X_32))
| not(and(X_32,and(X_220,X_221))) = not(and(X_220,and(X_221,X_32))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X_32,and(X_220,X_221))),not(and(and(X_220,X_221),X_32))) ),[1,0],$fot(and(X_220,and(X_221,X_32)))]]) ).
cnf(refute_0_10245,plain,
( not(and(X_32,and(X_220,X_221))) != not(and(and(X_220,X_221),X_32))
| not(and(X_32,and(X_220,X_221))) = not(and(X_220,and(X_221,X_32))) ),
inference(resolve,[$cnf( $equal(and(and(X_220,X_221),X_32),and(X_220,and(X_221,X_32))) )],[refute_0_10243,refute_0_10244]) ).
cnf(refute_0_10246,plain,
not(and(X_32,and(X_220,X_221))) = not(and(X_220,and(X_221,X_32))),
inference(resolve,[$cnf( $equal(not(and(X_32,and(X_220,X_221))),not(and(and(X_220,X_221),X_32))) )],[refute_0_10242,refute_0_10245]) ).
cnf(refute_0_10247,plain,
not(and(not(X),and(cin,or(t4,and(cin,sum))))) = not(and(cin,and(or(t4,and(cin,sum)),not(X)))),
inference(subst,[],[refute_0_10246:[bind(X_220,$fot(cin)),bind(X_221,$fot(or(t4,and(cin,sum)))),bind(X_32,$fot(not(X)))]]) ).
cnf(refute_0_10248,plain,
( not(and(not(X),and(cin,or(t4,and(cin,sum))))) != not(and(cin,and(or(t4,and(cin,sum)),not(X))))
| not(and(not(X),and(cin,or(t4,and(cin,sum))))) != or(X,not(cin))
| not(and(cin,and(or(t4,and(cin,sum)),not(X)))) = or(X,not(cin)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(X),and(cin,or(t4,and(cin,sum))))),or(X,not(cin))) ),[0],$fot(not(and(cin,and(or(t4,and(cin,sum)),not(X)))))]]) ).
cnf(refute_0_10249,plain,
( not(and(not(X),and(cin,or(t4,and(cin,sum))))) != or(X,not(cin))
| not(and(cin,and(or(t4,and(cin,sum)),not(X)))) = or(X,not(cin)) ),
inference(resolve,[$cnf( $equal(not(and(not(X),and(cin,or(t4,and(cin,sum))))),not(and(cin,and(or(t4,and(cin,sum)),not(X))))) )],[refute_0_10247,refute_0_10248]) ).
cnf(refute_0_10250,plain,
not(and(cin,and(or(t4,and(cin,sum)),not(X)))) = or(X,not(cin)),
inference(resolve,[$cnf( $equal(not(and(not(X),and(cin,or(t4,and(cin,sum))))),or(X,not(cin))) )],[refute_0_10241,refute_0_10249]) ).
cnf(refute_0_10251,plain,
not(and(cin,not(X))) = or(not(cin),X),
inference(subst,[],[refute_0_435:[bind(X_29,$fot(cin)),bind(X_30,$fot(X))]]) ).
cnf(refute_0_10252,plain,
not(and(and(cin,or(t4,and(cin,sum))),Y)) = or(not(and(cin,or(t4,and(cin,sum)))),not(Y)),
inference(subst,[],[and_demorgan:[bind(X,$fot(and(cin,or(t4,and(cin,sum)))))]]) ).
cnf(refute_0_10253,plain,
( not(and(and(cin,or(t4,and(cin,sum))),Y)) != or(not(and(cin,or(t4,and(cin,sum)))),not(Y))
| not(and(cin,or(t4,and(cin,sum)))) != not(cin)
| not(and(and(cin,or(t4,and(cin,sum))),Y)) = or(not(cin),not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(cin,or(t4,and(cin,sum))),Y)),or(not(and(cin,or(t4,and(cin,sum)))),not(Y))) ),[1,0],$fot(not(cin))]]) ).
cnf(refute_0_10254,plain,
( not(and(and(cin,or(t4,and(cin,sum))),Y)) != or(not(and(cin,or(t4,and(cin,sum)))),not(Y))
| not(and(and(cin,or(t4,and(cin,sum))),Y)) = or(not(cin),not(Y)) ),
inference(resolve,[$cnf( $equal(not(and(cin,or(t4,and(cin,sum)))),not(cin)) )],[refute_0_6420,refute_0_10253]) ).
cnf(refute_0_10255,plain,
not(and(and(cin,or(t4,and(cin,sum))),Y)) = or(not(cin),not(Y)),
inference(resolve,[$cnf( $equal(not(and(and(cin,or(t4,and(cin,sum))),Y)),or(not(and(cin,or(t4,and(cin,sum)))),not(Y))) )],[refute_0_10252,refute_0_10254]) ).
cnf(refute_0_10256,plain,
and(and(cin,or(t4,and(cin,sum))),Y) = and(cin,and(or(t4,and(cin,sum)),Y)),
inference(subst,[],[and_associative:[bind(X,$fot(cin)),bind(Y,$fot(or(t4,and(cin,sum)))),bind(Z,$fot(Y))]]) ).
cnf(refute_0_10257,plain,
not(and(and(cin,or(t4,and(cin,sum))),Y)) = not(and(and(cin,or(t4,and(cin,sum))),Y)),
introduced(tautology,[refl,[$fot(not(and(and(cin,or(t4,and(cin,sum))),Y)))]]) ).
cnf(refute_0_10258,plain,
( and(and(cin,or(t4,and(cin,sum))),Y) != and(cin,and(or(t4,and(cin,sum)),Y))
| not(and(and(cin,or(t4,and(cin,sum))),Y)) != not(and(and(cin,or(t4,and(cin,sum))),Y))
| not(and(and(cin,or(t4,and(cin,sum))),Y)) = not(and(cin,and(or(t4,and(cin,sum)),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(cin,or(t4,and(cin,sum))),Y)),not(and(and(cin,or(t4,and(cin,sum))),Y))) ),[1,0],$fot(and(cin,and(or(t4,and(cin,sum)),Y)))]]) ).
cnf(refute_0_10259,plain,
( and(and(cin,or(t4,and(cin,sum))),Y) != and(cin,and(or(t4,and(cin,sum)),Y))
| not(and(and(cin,or(t4,and(cin,sum))),Y)) = not(and(cin,and(or(t4,and(cin,sum)),Y))) ),
inference(resolve,[$cnf( $equal(not(and(and(cin,or(t4,and(cin,sum))),Y)),not(and(and(cin,or(t4,and(cin,sum))),Y))) )],[refute_0_10257,refute_0_10258]) ).
cnf(refute_0_10260,plain,
not(and(and(cin,or(t4,and(cin,sum))),Y)) = not(and(cin,and(or(t4,and(cin,sum)),Y))),
inference(resolve,[$cnf( $equal(and(and(cin,or(t4,and(cin,sum))),Y),and(cin,and(or(t4,and(cin,sum)),Y))) )],[refute_0_10256,refute_0_10259]) ).
cnf(refute_0_10261,plain,
( not(and(and(cin,or(t4,and(cin,sum))),Y)) != not(and(cin,and(or(t4,and(cin,sum)),Y)))
| not(and(and(cin,or(t4,and(cin,sum))),Y)) != or(not(cin),not(Y))
| not(and(cin,and(or(t4,and(cin,sum)),Y))) = or(not(cin),not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(cin,or(t4,and(cin,sum))),Y)),or(not(cin),not(Y))) ),[0],$fot(not(and(cin,and(or(t4,and(cin,sum)),Y))))]]) ).
cnf(refute_0_10262,plain,
( not(and(and(cin,or(t4,and(cin,sum))),Y)) != or(not(cin),not(Y))
| not(and(cin,and(or(t4,and(cin,sum)),Y))) = or(not(cin),not(Y)) ),
inference(resolve,[$cnf( $equal(not(and(and(cin,or(t4,and(cin,sum))),Y)),not(and(cin,and(or(t4,and(cin,sum)),Y)))) )],[refute_0_10260,refute_0_10261]) ).
cnf(refute_0_10263,plain,
( not(and(cin,and(or(t4,and(cin,sum)),Y))) != or(not(cin),not(Y))
| or(not(cin),not(Y)) != not(and(cin,Y))
| not(and(cin,and(or(t4,and(cin,sum)),Y))) = not(and(cin,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(cin,and(or(t4,and(cin,sum)),Y))),not(and(cin,Y))) ),[0],$fot(or(not(cin),not(Y)))]]) ).
cnf(refute_0_10264,plain,
( not(and(cin,and(or(t4,and(cin,sum)),Y))) != or(not(cin),not(Y))
| not(and(cin,and(or(t4,and(cin,sum)),Y))) = not(and(cin,Y)) ),
inference(resolve,[$cnf( $equal(or(not(cin),not(Y)),not(and(cin,Y))) )],[refute_0_1063,refute_0_10263]) ).
cnf(refute_0_10265,plain,
( not(and(and(cin,or(t4,and(cin,sum))),Y)) != or(not(cin),not(Y))
| not(and(cin,and(or(t4,and(cin,sum)),Y))) = not(and(cin,Y)) ),
inference(resolve,[$cnf( $equal(not(and(cin,and(or(t4,and(cin,sum)),Y))),or(not(cin),not(Y))) )],[refute_0_10262,refute_0_10264]) ).
cnf(refute_0_10266,plain,
not(and(cin,and(or(t4,and(cin,sum)),Y))) = not(and(cin,Y)),
inference(resolve,[$cnf( $equal(not(and(and(cin,or(t4,and(cin,sum))),Y)),or(not(cin),not(Y))) )],[refute_0_10255,refute_0_10265]) ).
cnf(refute_0_10267,plain,
not(and(cin,and(or(t4,and(cin,sum)),not(X)))) = not(and(cin,not(X))),
inference(subst,[],[refute_0_10266:[bind(Y,$fot(not(X)))]]) ).
cnf(refute_0_10268,plain,
( not(and(cin,and(or(t4,and(cin,sum)),not(X)))) != not(and(cin,not(X)))
| not(and(cin,not(X))) != or(not(cin),X)
| not(and(cin,and(or(t4,and(cin,sum)),not(X)))) = or(not(cin),X) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(cin,and(or(t4,and(cin,sum)),not(X)))))),bind(Y0,$fot(not(and(cin,not(X))))),bind(Z0,$fot(or(not(cin),X)))]]) ).
cnf(refute_0_10269,plain,
( not(and(cin,not(X))) != or(not(cin),X)
| not(and(cin,and(or(t4,and(cin,sum)),not(X)))) = or(not(cin),X) ),
inference(resolve,[$cnf( $equal(not(and(cin,and(or(t4,and(cin,sum)),not(X)))),not(and(cin,not(X)))) )],[refute_0_10267,refute_0_10268]) ).
cnf(refute_0_10270,plain,
not(and(cin,and(or(t4,and(cin,sum)),not(X)))) = or(not(cin),X),
inference(resolve,[$cnf( $equal(not(and(cin,not(X))),or(not(cin),X)) )],[refute_0_10251,refute_0_10269]) ).
cnf(refute_0_10271,plain,
( not(and(cin,and(or(t4,and(cin,sum)),not(X)))) != or(X,not(cin))
| not(and(cin,and(or(t4,and(cin,sum)),not(X)))) != or(not(cin),X)
| or(not(cin),X) = or(X,not(cin)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(cin,and(or(t4,and(cin,sum)),not(X)))),or(X,not(cin))) ),[0],$fot(or(not(cin),X))]]) ).
cnf(refute_0_10272,plain,
( not(and(cin,and(or(t4,and(cin,sum)),not(X)))) != or(X,not(cin))
| or(not(cin),X) = or(X,not(cin)) ),
inference(resolve,[$cnf( $equal(not(and(cin,and(or(t4,and(cin,sum)),not(X)))),or(not(cin),X)) )],[refute_0_10270,refute_0_10271]) ).
cnf(refute_0_10273,plain,
or(not(cin),X) = or(X,not(cin)),
inference(resolve,[$cnf( $equal(not(and(cin,and(or(t4,and(cin,sum)),not(X)))),or(X,not(cin))) )],[refute_0_10250,refute_0_10272]) ).
cnf(refute_0_10274,plain,
or(not(cin),t1) = or(t1,not(cin)),
inference(subst,[],[refute_0_10273:[bind(X,$fot(t1))]]) ).
cnf(refute_0_10275,plain,
not(and(cin,not(t1))) = or(not(cin),t1),
inference(subst,[],[refute_0_435:[bind(X_29,$fot(cin)),bind(X_30,$fot(t1))]]) ).
cnf(refute_0_10276,plain,
( not(and(cin,not(t1))) != or(not(cin),t1)
| or(not(cin),t1) != or(t1,not(cin))
| not(and(cin,not(t1))) = or(t1,not(cin)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(cin,not(t1))))),bind(Y0,$fot(or(not(cin),t1))),bind(Z0,$fot(or(t1,not(cin))))]]) ).
cnf(refute_0_10277,plain,
( or(not(cin),t1) != or(t1,not(cin))
| not(and(cin,not(t1))) = or(t1,not(cin)) ),
inference(resolve,[$cnf( $equal(not(and(cin,not(t1))),or(not(cin),t1)) )],[refute_0_10275,refute_0_10276]) ).
cnf(refute_0_10278,plain,
not(and(cin,not(t1))) = or(t1,not(cin)),
inference(resolve,[$cnf( $equal(or(not(cin),t1),or(t1,not(cin))) )],[refute_0_10274,refute_0_10277]) ).
cnf(refute_0_10279,plain,
( not(and(cin,not(t1))) != or(t1,not(cin))
| or(t1,t7) != not(and(cin,not(t1)))
| or(t1,t7) = or(t1,not(cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,t7),not(and(cin,not(t1)))) ),[1],$fot(or(t1,not(cin)))]]) ).
cnf(refute_0_10280,plain,
( or(t1,t7) != not(and(cin,not(t1)))
| or(t1,t7) = or(t1,not(cin)) ),
inference(resolve,[$cnf( $equal(not(and(cin,not(t1))),or(t1,not(cin))) )],[refute_0_10278,refute_0_10279]) ).
cnf(refute_0_10281,plain,
( not(and(and(cin,xor(t2,t7)),b)) != not(and(cin,not(t1)))
| or(t1,t7) = or(t1,not(cin)) ),
inference(resolve,[$cnf( $equal(or(t1,t7),not(and(cin,not(t1)))) )],[refute_0_10237,refute_0_10280]) ).
cnf(refute_0_10282,plain,
or(t1,t7) = or(t1,not(cin)),
inference(resolve,[$cnf( $equal(not(and(and(cin,xor(t2,t7)),b)),not(and(cin,not(t1)))) )],[refute_0_10221,refute_0_10281]) ).
cnf(refute_0_10283,plain,
( or(t1,t7) != or(t1,not(cin))
| or(t1,not(cin)) = or(t1,t7) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(t1,t7))),bind(Y0,$fot(or(t1,not(cin))))]]) ).
cnf(refute_0_10284,plain,
or(t1,not(cin)) = or(t1,t7),
inference(resolve,[$cnf( $equal(or(t1,t7),or(t1,not(cin))) )],[refute_0_10282,refute_0_10283]) ).
cnf(refute_0_10285,plain,
and(t6,or(t1,not(cin))) = and(t6,or(t1,not(cin))),
introduced(tautology,[refl,[$fot(and(t6,or(t1,not(cin))))]]) ).
cnf(refute_0_10286,plain,
( and(t6,or(t1,not(cin))) != and(t6,or(t1,not(cin)))
| or(t1,not(cin)) != or(t1,t7)
| and(t6,or(t1,not(cin))) = and(t6,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(t1,not(cin))),and(t6,or(t1,not(cin)))) ),[1,1],$fot(or(t1,t7))]]) ).
cnf(refute_0_10287,plain,
( or(t1,not(cin)) != or(t1,t7)
| and(t6,or(t1,not(cin))) = and(t6,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(t6,or(t1,not(cin))),and(t6,or(t1,not(cin)))) )],[refute_0_10285,refute_0_10286]) ).
cnf(refute_0_10288,plain,
and(t6,or(t1,not(cin))) = and(t6,or(t1,t7)),
inference(resolve,[$cnf( $equal(or(t1,not(cin)),or(t1,t7)) )],[refute_0_10284,refute_0_10287]) ).
cnf(refute_0_10289,plain,
xor(t6,and(cin,not(t1))) = and(t6,or(t1,not(cin))),
inference(subst,[],[refute_0_7535:[bind(X,$fot(t1))]]) ).
cnf(refute_0_10290,plain,
and(t6,or(not(X),not(cin))) = xor(t6,and(cin,not(not(X)))),
inference(subst,[],[refute_0_7533:[bind(X,$fot(not(X)))]]) ).
cnf(refute_0_10291,plain,
( and(t6,or(not(X),not(cin))) != xor(t6,and(cin,not(not(X))))
| not(not(X)) != X
| and(t6,or(not(X),not(cin))) = xor(t6,and(cin,X)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(not(X),not(cin))),xor(t6,and(cin,not(not(X))))) ),[1,1,1],$fot(X)]]) ).
cnf(refute_0_10292,plain,
( and(t6,or(not(X),not(cin))) != xor(t6,and(cin,not(not(X))))
| and(t6,or(not(X),not(cin))) = xor(t6,and(cin,X)) ),
inference(resolve,[$cnf( $equal(not(not(X)),X) )],[not_involution,refute_0_10291]) ).
cnf(refute_0_10293,plain,
and(t6,or(not(X),not(cin))) = xor(t6,and(cin,X)),
inference(resolve,[$cnf( $equal(and(t6,or(not(X),not(cin))),xor(t6,and(cin,not(not(X))))) )],[refute_0_10290,refute_0_10292]) ).
cnf(refute_0_10294,plain,
and(t6,not(and(X,cin))) = xor(t6,and(X,cin)),
inference(subst,[],[refute_0_2332:[bind(X_60,$fot(X))]]) ).
cnf(refute_0_10295,plain,
or(not(X),not(cin)) = not(and(X,cin)),
inference(subst,[],[refute_0_147:[bind(Y,$fot(cin))]]) ).
cnf(refute_0_10296,plain,
and(t6,or(not(X),not(cin))) = and(t6,or(not(X),not(cin))),
introduced(tautology,[refl,[$fot(and(t6,or(not(X),not(cin))))]]) ).
cnf(refute_0_10297,plain,
( and(t6,or(not(X),not(cin))) != and(t6,or(not(X),not(cin)))
| or(not(X),not(cin)) != not(and(X,cin))
| and(t6,or(not(X),not(cin))) = and(t6,not(and(X,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(not(X),not(cin))),and(t6,or(not(X),not(cin)))) ),[1,1],$fot(not(and(X,cin)))]]) ).
cnf(refute_0_10298,plain,
( or(not(X),not(cin)) != not(and(X,cin))
| and(t6,or(not(X),not(cin))) = and(t6,not(and(X,cin))) ),
inference(resolve,[$cnf( $equal(and(t6,or(not(X),not(cin))),and(t6,or(not(X),not(cin)))) )],[refute_0_10296,refute_0_10297]) ).
cnf(refute_0_10299,plain,
and(t6,or(not(X),not(cin))) = and(t6,not(and(X,cin))),
inference(resolve,[$cnf( $equal(or(not(X),not(cin)),not(and(X,cin))) )],[refute_0_10295,refute_0_10298]) ).
cnf(refute_0_10300,plain,
( and(t6,not(and(X,cin))) != xor(t6,and(X,cin))
| and(t6,or(not(X),not(cin))) != and(t6,not(and(X,cin)))
| and(t6,or(not(X),not(cin))) = xor(t6,and(X,cin)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t6,or(not(X),not(cin))))),bind(Y0,$fot(and(t6,not(and(X,cin))))),bind(Z0,$fot(xor(t6,and(X,cin))))]]) ).
cnf(refute_0_10301,plain,
( and(t6,not(and(X,cin))) != xor(t6,and(X,cin))
| and(t6,or(not(X),not(cin))) = xor(t6,and(X,cin)) ),
inference(resolve,[$cnf( $equal(and(t6,or(not(X),not(cin))),and(t6,not(and(X,cin)))) )],[refute_0_10299,refute_0_10300]) ).
cnf(refute_0_10302,plain,
and(t6,or(not(X),not(cin))) = xor(t6,and(X,cin)),
inference(resolve,[$cnf( $equal(and(t6,not(and(X,cin))),xor(t6,and(X,cin))) )],[refute_0_10294,refute_0_10301]) ).
cnf(refute_0_10303,plain,
( and(t6,or(not(X),not(cin))) != xor(t6,and(X,cin))
| and(t6,or(not(X),not(cin))) != xor(t6,and(cin,X))
| xor(t6,and(X,cin)) = xor(t6,and(cin,X)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(not(X),not(cin))),xor(t6,and(cin,X))) ),[0],$fot(xor(t6,and(X,cin)))]]) ).
cnf(refute_0_10304,plain,
( and(t6,or(not(X),not(cin))) != xor(t6,and(cin,X))
| xor(t6,and(X,cin)) = xor(t6,and(cin,X)) ),
inference(resolve,[$cnf( $equal(and(t6,or(not(X),not(cin))),xor(t6,and(X,cin))) )],[refute_0_10302,refute_0_10303]) ).
cnf(refute_0_10305,plain,
xor(t6,and(X,cin)) = xor(t6,and(cin,X)),
inference(resolve,[$cnf( $equal(and(t6,or(not(X),not(cin))),xor(t6,and(cin,X))) )],[refute_0_10293,refute_0_10304]) ).
cnf(refute_0_10306,plain,
xor(t6,and(not(t1),cin)) = xor(t6,and(cin,not(t1))),
inference(subst,[],[refute_0_10305:[bind(X,$fot(not(t1)))]]) ).
cnf(refute_0_10307,plain,
( xor(t6,and(cin,not(t1))) != and(t6,or(t1,not(cin)))
| xor(t6,and(not(t1),cin)) != xor(t6,and(cin,not(t1)))
| xor(t6,and(not(t1),cin)) = and(t6,or(t1,not(cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,and(not(t1),cin)))),bind(Y0,$fot(xor(t6,and(cin,not(t1))))),bind(Z0,$fot(and(t6,or(t1,not(cin)))))]]) ).
cnf(refute_0_10308,plain,
( xor(t6,and(cin,not(t1))) != and(t6,or(t1,not(cin)))
| xor(t6,and(not(t1),cin)) = and(t6,or(t1,not(cin))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(not(t1),cin)),xor(t6,and(cin,not(t1)))) )],[refute_0_10306,refute_0_10307]) ).
cnf(refute_0_10309,plain,
xor(t6,and(not(t1),cin)) = and(t6,or(t1,not(cin))),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,not(t1))),and(t6,or(t1,not(cin)))) )],[refute_0_10289,refute_0_10308]) ).
cnf(refute_0_10310,plain,
( and(t6,or(t1,not(cin))) != and(t6,or(t1,t7))
| xor(t6,and(not(t1),cin)) != and(t6,or(t1,not(cin)))
| xor(t6,and(not(t1),cin)) = and(t6,or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,and(not(t1),cin)))),bind(Y0,$fot(and(t6,or(t1,not(cin))))),bind(Z0,$fot(and(t6,or(t1,t7))))]]) ).
cnf(refute_0_10311,plain,
( and(t6,or(t1,not(cin))) != and(t6,or(t1,t7))
| xor(t6,and(not(t1),cin)) = and(t6,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(xor(t6,and(not(t1),cin)),and(t6,or(t1,not(cin)))) )],[refute_0_10309,refute_0_10310]) ).
cnf(refute_0_10312,plain,
xor(t6,and(not(t1),cin)) = and(t6,or(t1,t7)),
inference(resolve,[$cnf( $equal(and(t6,or(t1,not(cin))),and(t6,or(t1,t7))) )],[refute_0_10288,refute_0_10311]) ).
cnf(refute_0_10313,plain,
( not(xor(t6,or(t1,t7))) != xor(t6,and(not(t1),cin))
| xor(t6,and(not(t1),cin)) != and(t6,or(t1,t7))
| not(xor(t6,or(t1,t7))) = and(t6,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(t6,or(t1,t7))),and(t6,or(t1,t7))) ),[0],$fot(xor(t6,and(not(t1),cin)))]]) ).
cnf(refute_0_10314,plain,
( not(xor(t6,or(t1,t7))) != xor(t6,and(not(t1),cin))
| not(xor(t6,or(t1,t7))) = and(t6,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(xor(t6,and(not(t1),cin)),and(t6,or(t1,t7))) )],[refute_0_10312,refute_0_10313]) ).
cnf(refute_0_10315,plain,
( xor(t6,not(or(t1,t7))) != xor(t6,and(not(t1),cin))
| not(xor(t6,or(t1,t7))) = and(t6,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(not(xor(t6,or(t1,t7))),xor(t6,and(not(t1),cin))) )],[refute_0_10217,refute_0_10314]) ).
cnf(refute_0_10316,plain,
not(xor(t6,or(t1,t7))) = and(t6,or(t1,t7)),
inference(resolve,[$cnf( $equal(xor(t6,not(or(t1,t7))),xor(t6,and(not(t1),cin))) )],[refute_0_10214,refute_0_10315]) ).
cnf(refute_0_10317,plain,
( not(xor(t6,or(t1,t7))) != and(t6,or(t1,t7))
| xor(t6,not(or(t1,t7))) != not(xor(t6,or(t1,t7)))
| xor(t6,not(or(t1,t7))) = and(t6,or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,not(or(t1,t7))))),bind(Y0,$fot(not(xor(t6,or(t1,t7))))),bind(Z0,$fot(and(t6,or(t1,t7))))]]) ).
cnf(refute_0_10318,plain,
( not(xor(t6,or(t1,t7))) != and(t6,or(t1,t7))
| xor(t6,not(or(t1,t7))) = and(t6,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(xor(t6,not(or(t1,t7))),not(xor(t6,or(t1,t7)))) )],[refute_0_10215,refute_0_10317]) ).
cnf(refute_0_10319,plain,
xor(t6,not(or(t1,t7))) = and(t6,or(t1,t7)),
inference(resolve,[$cnf( $equal(not(xor(t6,or(t1,t7))),and(t6,or(t1,t7))) )],[refute_0_10316,refute_0_10318]) ).
cnf(refute_0_10320,plain,
and(and(t5,not(t4)),X_222) = and(t5,and(not(t4),X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(t5)),bind(Y,$fot(not(t4))),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_10321,plain,
( and(and(t5,not(t4)),X_222) != and(t5,and(not(t4),X_222))
| and(t5,not(t4)) != not(t4)
| and(not(t4),X_222) = and(t5,and(not(t4),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t5,not(t4)),X_222),and(t5,and(not(t4),X_222))) ),[0,0],$fot(not(t4))]]) ).
cnf(refute_0_10322,plain,
( and(and(t5,not(t4)),X_222) != and(t5,and(not(t4),X_222))
| and(not(t4),X_222) = and(t5,and(not(t4),X_222)) ),
inference(resolve,[$cnf( $equal(and(t5,not(t4)),not(t4)) )],[refute_0_981,refute_0_10321]) ).
cnf(refute_0_10323,plain,
and(not(t4),X_222) = and(t5,and(not(t4),X_222)),
inference(resolve,[$cnf( $equal(and(and(t5,not(t4)),X_222),and(t5,and(not(t4),X_222))) )],[refute_0_10320,refute_0_10322]) ).
cnf(refute_0_10324,plain,
and(not(t4),not(Y)) = and(t5,and(not(t4),not(Y))),
inference(subst,[],[refute_0_10323:[bind(X_222,$fot(not(Y)))]]) ).
cnf(refute_0_10325,plain,
not(or(t4,Y)) = and(not(t4),not(Y)),
inference(subst,[],[or_demorgan:[bind(X,$fot(t4))]]) ).
cnf(refute_0_10326,plain,
( not(or(t4,Y)) != and(not(t4),not(Y))
| and(not(t4),not(Y)) = not(or(t4,Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(t4,Y)))),bind(Y0,$fot(and(not(t4),not(Y))))]]) ).
cnf(refute_0_10327,plain,
and(not(t4),not(Y)) = not(or(t4,Y)),
inference(resolve,[$cnf( $equal(not(or(t4,Y)),and(not(t4),not(Y))) )],[refute_0_10325,refute_0_10326]) ).
cnf(refute_0_10328,plain,
( and(not(t4),not(Y)) != and(t5,and(not(t4),not(Y)))
| and(not(t4),not(Y)) != not(or(t4,Y))
| and(not(t4),not(Y)) = and(t5,not(or(t4,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),not(Y)),and(t5,and(not(t4),not(Y)))) ),[1,1],$fot(not(or(t4,Y)))]]) ).
cnf(refute_0_10329,plain,
( and(not(t4),not(Y)) != and(t5,and(not(t4),not(Y)))
| and(not(t4),not(Y)) = and(t5,not(or(t4,Y))) ),
inference(resolve,[$cnf( $equal(and(not(t4),not(Y)),not(or(t4,Y))) )],[refute_0_10327,refute_0_10328]) ).
cnf(refute_0_10330,plain,
and(not(t4),not(Y)) = and(t5,not(or(t4,Y))),
inference(resolve,[$cnf( $equal(and(not(t4),not(Y)),and(t5,and(not(t4),not(Y)))) )],[refute_0_10324,refute_0_10329]) ).
cnf(refute_0_10331,plain,
( and(not(t4),not(Y)) != and(t5,not(or(t4,Y)))
| and(not(t4),not(Y)) != not(or(t4,Y))
| not(or(t4,Y)) = and(t5,not(or(t4,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),not(Y)),and(t5,not(or(t4,Y)))) ),[0],$fot(not(or(t4,Y)))]]) ).
cnf(refute_0_10332,plain,
( and(not(t4),not(Y)) != and(t5,not(or(t4,Y)))
| not(or(t4,Y)) = and(t5,not(or(t4,Y))) ),
inference(resolve,[$cnf( $equal(and(not(t4),not(Y)),not(or(t4,Y))) )],[refute_0_10327,refute_0_10331]) ).
cnf(refute_0_10333,plain,
not(or(t4,Y)) = and(t5,not(or(t4,Y))),
inference(resolve,[$cnf( $equal(and(not(t4),not(Y)),and(t5,not(or(t4,Y)))) )],[refute_0_10330,refute_0_10332]) ).
cnf(refute_0_10334,plain,
not(or(t4,not(xor(t7,or(a,t7))))) = and(t5,not(or(t4,not(xor(t7,or(a,t7)))))),
inference(subst,[],[refute_0_10333:[bind(Y,$fot(not(xor(t7,or(a,t7)))))]]) ).
cnf(refute_0_10335,plain,
or(not(xor(t7,or(a,t7))),and(t4,not(xor(t7,or(a,t7))))) = not(xor(t7,or(a,t7))),
inference(subst,[],[refute_0_222:[bind(X_13,$fot(not(xor(t7,or(a,t7))))),bind(X_14,$fot(t4))]]) ).
cnf(refute_0_10336,plain,
and(t4,or(t7,X_754)) = or(and(t4,t7),and(t4,X_754)),
inference(subst,[],[or_distributive:[bind(X,$fot(t4)),bind(Y,$fot(t7)),bind(Z,$fot(X_754))]]) ).
cnf(refute_0_10337,plain,
and(t4,or(t4,not(cin))) = t4,
inference(subst,[],[and_absorption:[bind(X,$fot(t4)),bind(Y,$fot(not(cin)))]]) ).
cnf(refute_0_10338,plain,
( and(t4,or(t4,not(cin))) != t4
| or(t4,not(cin)) != t7
| and(t4,t7) = t4 ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,or(t4,not(cin))),t4) ),[0,1],$fot(t7)]]) ).
cnf(refute_0_10339,plain,
( and(t4,or(t4,not(cin))) != t4
| and(t4,t7) = t4 ),
inference(resolve,[$cnf( $equal(or(t4,not(cin)),t7) )],[refute_0_8742,refute_0_10338]) ).
cnf(refute_0_10340,plain,
and(t4,t7) = t4,
inference(resolve,[$cnf( $equal(and(t4,or(t4,not(cin))),t4) )],[refute_0_10337,refute_0_10339]) ).
cnf(refute_0_10341,plain,
( and(t4,or(t7,X_754)) != or(and(t4,t7),and(t4,X_754))
| and(t4,t7) != t4
| and(t4,or(t7,X_754)) = or(t4,and(t4,X_754)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,or(t7,X_754)),or(and(t4,t7),and(t4,X_754))) ),[1,0],$fot(t4)]]) ).
cnf(refute_0_10342,plain,
( and(t4,or(t7,X_754)) != or(and(t4,t7),and(t4,X_754))
| and(t4,or(t7,X_754)) = or(t4,and(t4,X_754)) ),
inference(resolve,[$cnf( $equal(and(t4,t7),t4) )],[refute_0_10340,refute_0_10341]) ).
cnf(refute_0_10343,plain,
and(t4,or(t7,X_754)) = or(t4,and(t4,X_754)),
inference(resolve,[$cnf( $equal(and(t4,or(t7,X_754)),or(and(t4,t7),and(t4,X_754))) )],[refute_0_10336,refute_0_10342]) ).
cnf(refute_0_10344,plain,
or(t4,and(t4,X_754)) = t4,
inference(subst,[],[or_absorption:[bind(X,$fot(t4)),bind(Y,$fot(X_754))]]) ).
cnf(refute_0_10345,plain,
( and(t4,or(t7,X_754)) != or(t4,and(t4,X_754))
| or(t4,and(t4,X_754)) != t4
| and(t4,or(t7,X_754)) = t4 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t4,or(t7,X_754)),t4) ),[0],$fot(or(t4,and(t4,X_754)))]]) ).
cnf(refute_0_10346,plain,
( and(t4,or(t7,X_754)) != or(t4,and(t4,X_754))
| and(t4,or(t7,X_754)) = t4 ),
inference(resolve,[$cnf( $equal(or(t4,and(t4,X_754)),t4) )],[refute_0_10344,refute_0_10345]) ).
cnf(refute_0_10347,plain,
and(t4,or(t7,X_754)) = t4,
inference(resolve,[$cnf( $equal(and(t4,or(t7,X_754)),or(t4,and(t4,X_754))) )],[refute_0_10343,refute_0_10346]) ).
cnf(refute_0_10348,plain,
and(t4,or(t7,not(or(a,t7)))) = t4,
inference(subst,[],[refute_0_10347:[bind(X_754,$fot(not(or(a,t7))))]]) ).
cnf(refute_0_10349,plain,
or(t7,not(or(carry,t7))) = or(t7,not(or(carry,t7))),
introduced(tautology,[refl,[$fot(or(t7,not(or(carry,t7))))]]) ).
cnf(refute_0_10350,plain,
( not(or(carry,t7)) != not(or(a,t7))
| or(t7,not(or(carry,t7))) != or(t7,not(or(carry,t7)))
| or(t7,not(or(carry,t7))) = or(t7,not(or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,not(or(carry,t7))),or(t7,not(or(carry,t7)))) ),[1,1],$fot(not(or(a,t7)))]]) ).
cnf(refute_0_10351,plain,
( not(or(carry,t7)) != not(or(a,t7))
| or(t7,not(or(carry,t7))) = or(t7,not(or(a,t7))) ),
inference(resolve,[$cnf( $equal(or(t7,not(or(carry,t7))),or(t7,not(or(carry,t7)))) )],[refute_0_10349,refute_0_10350]) ).
cnf(refute_0_10352,plain,
or(t7,not(or(carry,t7))) = or(t7,not(or(a,t7))),
inference(resolve,[$cnf( $equal(not(or(carry,t7)),not(or(a,t7))) )],[refute_0_2714,refute_0_10351]) ).
cnf(refute_0_10353,plain,
( or(t7,not(or(carry,t7))) != not(xor(t7,or(carry,t7)))
| or(t7,not(or(carry,t7))) != or(t7,not(or(a,t7)))
| or(t7,not(or(a,t7))) = not(xor(t7,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,not(or(carry,t7))),not(xor(t7,or(carry,t7)))) ),[0],$fot(or(t7,not(or(a,t7))))]]) ).
cnf(refute_0_10354,plain,
( or(t7,not(or(carry,t7))) != not(xor(t7,or(carry,t7)))
| or(t7,not(or(a,t7))) = not(xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(or(t7,not(or(carry,t7))),or(t7,not(or(a,t7)))) )],[refute_0_10352,refute_0_10353]) ).
cnf(refute_0_10355,plain,
or(t7,not(or(a,t7))) = not(xor(t7,or(carry,t7))),
inference(resolve,[$cnf( $equal(or(t7,not(or(carry,t7))),not(xor(t7,or(carry,t7)))) )],[refute_0_7821,refute_0_10354]) ).
cnf(refute_0_10356,plain,
( not(xor(t7,or(carry,t7))) != not(xor(t7,or(a,t7)))
| or(t7,not(or(a,t7))) != not(xor(t7,or(carry,t7)))
| or(t7,not(or(a,t7))) = not(xor(t7,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,not(or(a,t7))),not(xor(t7,or(carry,t7)))) ),[1],$fot(not(xor(t7,or(a,t7))))]]) ).
cnf(refute_0_10357,plain,
( or(t7,not(or(a,t7))) != not(xor(t7,or(carry,t7)))
| or(t7,not(or(a,t7))) = not(xor(t7,or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(xor(t7,or(carry,t7))),not(xor(t7,or(a,t7)))) )],[refute_0_7862,refute_0_10356]) ).
cnf(refute_0_10358,plain,
or(t7,not(or(a,t7))) = not(xor(t7,or(a,t7))),
inference(resolve,[$cnf( $equal(or(t7,not(or(a,t7))),not(xor(t7,or(carry,t7)))) )],[refute_0_10355,refute_0_10357]) ).
cnf(refute_0_10359,plain,
( and(t4,or(t7,not(or(a,t7)))) != t4
| or(t7,not(or(a,t7))) != not(xor(t7,or(a,t7)))
| and(t4,not(xor(t7,or(a,t7)))) = t4 ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,or(t7,not(or(a,t7)))),t4) ),[0,1],$fot(not(xor(t7,or(a,t7))))]]) ).
cnf(refute_0_10360,plain,
( and(t4,or(t7,not(or(a,t7)))) != t4
| and(t4,not(xor(t7,or(a,t7)))) = t4 ),
inference(resolve,[$cnf( $equal(or(t7,not(or(a,t7))),not(xor(t7,or(a,t7)))) )],[refute_0_10358,refute_0_10359]) ).
cnf(refute_0_10361,plain,
and(t4,not(xor(t7,or(a,t7)))) = t4,
inference(resolve,[$cnf( $equal(and(t4,or(t7,not(or(a,t7)))),t4) )],[refute_0_10348,refute_0_10360]) ).
cnf(refute_0_10362,plain,
( and(t4,not(xor(t7,or(a,t7)))) != t4
| or(not(xor(t7,or(a,t7))),and(t4,not(xor(t7,or(a,t7))))) != not(xor(t7,or(a,t7)))
| or(not(xor(t7,or(a,t7))),t4) = not(xor(t7,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(xor(t7,or(a,t7))),and(t4,not(xor(t7,or(a,t7))))),not(xor(t7,or(a,t7)))) ),[0,1],$fot(t4)]]) ).
cnf(refute_0_10363,plain,
( or(not(xor(t7,or(a,t7))),and(t4,not(xor(t7,or(a,t7))))) != not(xor(t7,or(a,t7)))
| or(not(xor(t7,or(a,t7))),t4) = not(xor(t7,or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t7,or(a,t7)))),t4) )],[refute_0_10361,refute_0_10362]) ).
cnf(refute_0_10364,plain,
or(not(xor(t7,or(a,t7))),t4) = not(xor(t7,or(a,t7))),
inference(resolve,[$cnf( $equal(or(not(xor(t7,or(a,t7))),and(t4,not(xor(t7,or(a,t7))))),not(xor(t7,or(a,t7)))) )],[refute_0_10335,refute_0_10363]) ).
cnf(refute_0_10365,plain,
not(and(not(X),and(t5,xor(carry,and(t1,t6))))) = or(X,not(and(t5,xor(carry,and(t1,t6))))),
inference(subst,[],[refute_0_787:[bind(X_32,$fot(and(t5,xor(carry,and(t1,t6)))))]]) ).
cnf(refute_0_10366,plain,
not(and(xor(carry,and(t1,t6)),not(t4))) = not(and(not(t4),xor(carry,and(t1,t6)))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(not(t4))),bind(X_32,$fot(xor(carry,and(t1,t6))))]]) ).
cnf(refute_0_10367,plain,
and(not(t4),xor(carry,and(t1,t6))) = and(t5,and(t6,xor(carry,and(t1,t6)))),
inference(subst,[],[refute_0_5450:[bind(Z,$fot(xor(carry,and(t1,t6))))]]) ).
cnf(refute_0_10368,plain,
and(xor(carry,and(t1,t6)),or(t6,xor(carry,and(t1,t6)))) = xor(carry,and(t1,t6)),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(xor(carry,and(t1,t6)))),bind(X_20,$fot(t6))]]) ).
cnf(refute_0_10369,plain,
or(or(t6,and(carry,t5)),and(not(carry),or(t6,and(carry,t5)))) = or(t6,and(carry,t5)),
inference(subst,[],[refute_0_222:[bind(X_13,$fot(or(t6,and(carry,t5)))),bind(X_14,$fot(not(carry)))]]) ).
cnf(refute_0_10370,plain,
or(and(carry,not(or(t6,and(carry,t5)))),and(not(carry),or(t6,and(carry,t5)))) = xor(carry,or(t6,and(carry,t5))),
inference(subst,[],[refute_0_9:[bind(X,$fot(carry)),bind(Y,$fot(or(t6,and(carry,t5))))]]) ).
cnf(refute_0_10371,plain,
and(and(t5,not(t6)),X_222) = and(t5,and(not(t6),X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(t5)),bind(Y,$fot(not(t6))),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_10372,plain,
( and(and(t5,not(t6)),X_222) != and(t5,and(not(t6),X_222))
| and(t5,not(t6)) != not(t6)
| and(not(t6),X_222) = and(t5,and(not(t6),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t5,not(t6)),X_222),and(t5,and(not(t6),X_222))) ),[0,0],$fot(not(t6))]]) ).
cnf(refute_0_10373,plain,
( and(and(t5,not(t6)),X_222) != and(t5,and(not(t6),X_222))
| and(not(t6),X_222) = and(t5,and(not(t6),X_222)) ),
inference(resolve,[$cnf( $equal(and(t5,not(t6)),not(t6)) )],[refute_0_2003,refute_0_10372]) ).
cnf(refute_0_10374,plain,
and(not(t6),X_222) = and(t5,and(not(t6),X_222)),
inference(resolve,[$cnf( $equal(and(and(t5,not(t6)),X_222),and(t5,and(not(t6),X_222))) )],[refute_0_10371,refute_0_10373]) ).
cnf(refute_0_10375,plain,
and(not(t6),and(carry,xor(carry,t5))) = and(t5,and(not(t6),and(carry,xor(carry,t5)))),
inference(subst,[],[refute_0_10374:[bind(X_222,$fot(and(carry,xor(carry,t5))))]]) ).
cnf(refute_0_10376,plain,
and(and(X_220,carry),and(t5,xor(carry,t5))) = and(X_220,and(carry,and(t5,xor(carry,t5)))),
inference(subst,[],[and_associative:[bind(X,$fot(X_220)),bind(Y,$fot(carry)),bind(Z,$fot(and(t5,xor(carry,t5))))]]) ).
cnf(refute_0_10377,plain,
and(and(carry,t5),not(and(carry,t5))) = ll0,
inference(subst,[],[and_complement:[bind(X,$fot(and(carry,t5)))]]) ).
cnf(refute_0_10378,plain,
( and(and(carry,t5),not(and(carry,t5))) != ll0
| not(and(carry,t5)) != xor(carry,t5)
| and(and(carry,t5),xor(carry,t5)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(carry,t5),not(and(carry,t5))),ll0) ),[0,1],$fot(xor(carry,t5))]]) ).
cnf(refute_0_10379,plain,
( and(and(carry,t5),not(and(carry,t5))) != ll0
| and(and(carry,t5),xor(carry,t5)) = ll0 ),
inference(resolve,[$cnf( $equal(not(and(carry,t5)),xor(carry,t5)) )],[refute_0_8012,refute_0_10378]) ).
cnf(refute_0_10380,plain,
and(and(carry,t5),xor(carry,t5)) = ll0,
inference(resolve,[$cnf( $equal(and(and(carry,t5),not(and(carry,t5))),ll0) )],[refute_0_10377,refute_0_10379]) ).
cnf(refute_0_10381,plain,
and(and(carry,t5),xor(carry,t5)) = and(carry,and(t5,xor(carry,t5))),
inference(subst,[],[and_associative:[bind(X,$fot(carry)),bind(Y,$fot(t5)),bind(Z,$fot(xor(carry,t5)))]]) ).
cnf(refute_0_10382,plain,
( and(and(carry,t5),xor(carry,t5)) != and(carry,and(t5,xor(carry,t5)))
| and(and(carry,t5),xor(carry,t5)) != ll0
| and(carry,and(t5,xor(carry,t5))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(carry,t5),xor(carry,t5)),ll0) ),[0],$fot(and(carry,and(t5,xor(carry,t5))))]]) ).
cnf(refute_0_10383,plain,
( and(and(carry,t5),xor(carry,t5)) != ll0
| and(carry,and(t5,xor(carry,t5))) = ll0 ),
inference(resolve,[$cnf( $equal(and(and(carry,t5),xor(carry,t5)),and(carry,and(t5,xor(carry,t5)))) )],[refute_0_10381,refute_0_10382]) ).
cnf(refute_0_10384,plain,
and(carry,and(t5,xor(carry,t5))) = ll0,
inference(resolve,[$cnf( $equal(and(and(carry,t5),xor(carry,t5)),ll0) )],[refute_0_10380,refute_0_10383]) ).
cnf(refute_0_10385,plain,
( and(and(X_220,carry),and(t5,xor(carry,t5))) != and(X_220,and(carry,and(t5,xor(carry,t5))))
| and(carry,and(t5,xor(carry,t5))) != ll0
| and(and(X_220,carry),and(t5,xor(carry,t5))) = and(X_220,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X_220,carry),and(t5,xor(carry,t5))),and(X_220,and(carry,and(t5,xor(carry,t5))))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_10386,plain,
( and(and(X_220,carry),and(t5,xor(carry,t5))) != and(X_220,and(carry,and(t5,xor(carry,t5))))
| and(and(X_220,carry),and(t5,xor(carry,t5))) = and(X_220,ll0) ),
inference(resolve,[$cnf( $equal(and(carry,and(t5,xor(carry,t5))),ll0) )],[refute_0_10384,refute_0_10385]) ).
cnf(refute_0_10387,plain,
and(and(X_220,carry),and(t5,xor(carry,t5))) = and(X_220,ll0),
inference(resolve,[$cnf( $equal(and(and(X_220,carry),and(t5,xor(carry,t5))),and(X_220,and(carry,and(t5,xor(carry,t5))))) )],[refute_0_10376,refute_0_10386]) ).
cnf(refute_0_10388,plain,
and(and(X_220,carry),xor(carry,t5)) = and(X_220,and(carry,xor(carry,t5))),
inference(subst,[],[and_associative:[bind(X,$fot(X_220)),bind(Y,$fot(carry)),bind(Z,$fot(xor(carry,t5)))]]) ).
cnf(refute_0_10389,plain,
and(t5,and(and(X_220,carry),xor(carry,t5))) = and(t5,and(and(X_220,carry),xor(carry,t5))),
introduced(tautology,[refl,[$fot(and(t5,and(and(X_220,carry),xor(carry,t5))))]]) ).
cnf(refute_0_10390,plain,
( and(and(X_220,carry),xor(carry,t5)) != and(X_220,and(carry,xor(carry,t5)))
| and(t5,and(and(X_220,carry),xor(carry,t5))) != and(t5,and(and(X_220,carry),xor(carry,t5)))
| and(t5,and(and(X_220,carry),xor(carry,t5))) = and(t5,and(X_220,and(carry,xor(carry,t5)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,and(and(X_220,carry),xor(carry,t5))),and(t5,and(and(X_220,carry),xor(carry,t5)))) ),[1,1],$fot(and(X_220,and(carry,xor(carry,t5))))]]) ).
cnf(refute_0_10391,plain,
( and(and(X_220,carry),xor(carry,t5)) != and(X_220,and(carry,xor(carry,t5)))
| and(t5,and(and(X_220,carry),xor(carry,t5))) = and(t5,and(X_220,and(carry,xor(carry,t5)))) ),
inference(resolve,[$cnf( $equal(and(t5,and(and(X_220,carry),xor(carry,t5))),and(t5,and(and(X_220,carry),xor(carry,t5)))) )],[refute_0_10389,refute_0_10390]) ).
cnf(refute_0_10392,plain,
and(t5,and(and(X_220,carry),xor(carry,t5))) = and(t5,and(X_220,and(carry,xor(carry,t5)))),
inference(resolve,[$cnf( $equal(and(and(X_220,carry),xor(carry,t5)),and(X_220,and(carry,xor(carry,t5)))) )],[refute_0_10388,refute_0_10391]) ).
cnf(refute_0_10393,plain,
and(and(X_220,carry),and(t5,xor(carry,t5))) = and(t5,and(and(X_220,carry),xor(carry,t5))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(and(X_220,carry))),bind(X_221,$fot(t5)),bind(X_222,$fot(xor(carry,t5)))]]) ).
cnf(refute_0_10394,plain,
( and(and(X_220,carry),and(t5,xor(carry,t5))) != and(t5,and(and(X_220,carry),xor(carry,t5)))
| and(t5,and(and(X_220,carry),xor(carry,t5))) != and(t5,and(X_220,and(carry,xor(carry,t5))))
| and(and(X_220,carry),and(t5,xor(carry,t5))) = and(t5,and(X_220,and(carry,xor(carry,t5)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(X_220,carry),and(t5,xor(carry,t5))))),bind(Y0,$fot(and(t5,and(and(X_220,carry),xor(carry,t5))))),bind(Z0,$fot(and(t5,and(X_220,and(carry,xor(carry,t5))))))]]) ).
cnf(refute_0_10395,plain,
( and(t5,and(and(X_220,carry),xor(carry,t5))) != and(t5,and(X_220,and(carry,xor(carry,t5))))
| and(and(X_220,carry),and(t5,xor(carry,t5))) = and(t5,and(X_220,and(carry,xor(carry,t5)))) ),
inference(resolve,[$cnf( $equal(and(and(X_220,carry),and(t5,xor(carry,t5))),and(t5,and(and(X_220,carry),xor(carry,t5)))) )],[refute_0_10393,refute_0_10394]) ).
cnf(refute_0_10396,plain,
and(and(X_220,carry),and(t5,xor(carry,t5))) = and(t5,and(X_220,and(carry,xor(carry,t5)))),
inference(resolve,[$cnf( $equal(and(t5,and(and(X_220,carry),xor(carry,t5))),and(t5,and(X_220,and(carry,xor(carry,t5))))) )],[refute_0_10392,refute_0_10395]) ).
cnf(refute_0_10397,plain,
( and(and(X_220,carry),and(t5,xor(carry,t5))) != and(X_220,ll0)
| and(and(X_220,carry),and(t5,xor(carry,t5))) != and(t5,and(X_220,and(carry,xor(carry,t5))))
| and(t5,and(X_220,and(carry,xor(carry,t5)))) = and(X_220,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X_220,carry),and(t5,xor(carry,t5))),and(X_220,ll0)) ),[0],$fot(and(t5,and(X_220,and(carry,xor(carry,t5)))))]]) ).
cnf(refute_0_10398,plain,
( and(and(X_220,carry),and(t5,xor(carry,t5))) != and(X_220,ll0)
| and(t5,and(X_220,and(carry,xor(carry,t5)))) = and(X_220,ll0) ),
inference(resolve,[$cnf( $equal(and(and(X_220,carry),and(t5,xor(carry,t5))),and(t5,and(X_220,and(carry,xor(carry,t5))))) )],[refute_0_10396,refute_0_10397]) ).
cnf(refute_0_10399,plain,
( and(X_220,ll0) != ll0
| and(t5,and(X_220,and(carry,xor(carry,t5)))) != and(X_220,ll0)
| and(t5,and(X_220,and(carry,xor(carry,t5)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,and(X_220,and(carry,xor(carry,t5)))),and(X_220,ll0)) ),[1],$fot(ll0)]]) ).
cnf(refute_0_10400,plain,
( and(t5,and(X_220,and(carry,xor(carry,t5)))) != and(X_220,ll0)
| and(t5,and(X_220,and(carry,xor(carry,t5)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(X_220,ll0),ll0) )],[refute_0_3381,refute_0_10399]) ).
cnf(refute_0_10401,plain,
( and(and(X_220,carry),and(t5,xor(carry,t5))) != and(X_220,ll0)
| and(t5,and(X_220,and(carry,xor(carry,t5)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(t5,and(X_220,and(carry,xor(carry,t5)))),and(X_220,ll0)) )],[refute_0_10398,refute_0_10400]) ).
cnf(refute_0_10402,plain,
and(t5,and(X_220,and(carry,xor(carry,t5)))) = ll0,
inference(resolve,[$cnf( $equal(and(and(X_220,carry),and(t5,xor(carry,t5))),and(X_220,ll0)) )],[refute_0_10387,refute_0_10401]) ).
cnf(refute_0_10403,plain,
and(t5,and(not(t6),and(carry,xor(carry,t5)))) = ll0,
inference(subst,[],[refute_0_10402:[bind(X_220,$fot(not(t6)))]]) ).
cnf(refute_0_10404,plain,
( and(not(t6),and(carry,xor(carry,t5))) != and(t5,and(not(t6),and(carry,xor(carry,t5))))
| and(t5,and(not(t6),and(carry,xor(carry,t5)))) != ll0
| and(not(t6),and(carry,xor(carry,t5))) = ll0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(t6),and(carry,xor(carry,t5))),ll0) ),[0],$fot(and(t5,and(not(t6),and(carry,xor(carry,t5)))))]]) ).
cnf(refute_0_10405,plain,
( and(not(t6),and(carry,xor(carry,t5))) != and(t5,and(not(t6),and(carry,xor(carry,t5))))
| and(not(t6),and(carry,xor(carry,t5))) = ll0 ),
inference(resolve,[$cnf( $equal(and(t5,and(not(t6),and(carry,xor(carry,t5)))),ll0) )],[refute_0_10403,refute_0_10404]) ).
cnf(refute_0_10406,plain,
and(not(t6),and(carry,xor(carry,t5))) = ll0,
inference(resolve,[$cnf( $equal(and(not(t6),and(carry,xor(carry,t5))),and(t5,and(not(t6),and(carry,xor(carry,t5))))) )],[refute_0_10375,refute_0_10405]) ).
cnf(refute_0_10407,plain,
not(or(X,and(carry,t5))) = and(not(X),not(and(carry,t5))),
inference(subst,[],[or_demorgan:[bind(Y,$fot(and(carry,t5)))]]) ).
cnf(refute_0_10408,plain,
( not(and(carry,t5)) != xor(carry,t5)
| not(or(X,and(carry,t5))) != and(not(X),not(and(carry,t5)))
| not(or(X,and(carry,t5))) = and(not(X),xor(carry,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,and(carry,t5))),and(not(X),not(and(carry,t5)))) ),[1,1],$fot(xor(carry,t5))]]) ).
cnf(refute_0_10409,plain,
( not(or(X,and(carry,t5))) != and(not(X),not(and(carry,t5)))
| not(or(X,and(carry,t5))) = and(not(X),xor(carry,t5)) ),
inference(resolve,[$cnf( $equal(not(and(carry,t5)),xor(carry,t5)) )],[refute_0_8012,refute_0_10408]) ).
cnf(refute_0_10410,plain,
not(or(X,and(carry,t5))) = and(not(X),xor(carry,t5)),
inference(resolve,[$cnf( $equal(not(or(X,and(carry,t5))),and(not(X),not(and(carry,t5)))) )],[refute_0_10407,refute_0_10409]) ).
cnf(refute_0_10411,plain,
( not(or(X,and(carry,t5))) != and(not(X),xor(carry,t5))
| and(not(X),xor(carry,t5)) = not(or(X,and(carry,t5))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X,and(carry,t5))))),bind(Y0,$fot(and(not(X),xor(carry,t5))))]]) ).
cnf(refute_0_10412,plain,
and(not(X),xor(carry,t5)) = not(or(X,and(carry,t5))),
inference(resolve,[$cnf( $equal(not(or(X,and(carry,t5))),and(not(X),xor(carry,t5))) )],[refute_0_10410,refute_0_10411]) ).
cnf(refute_0_10413,plain,
and(not(t6),xor(carry,t5)) = not(or(t6,and(carry,t5))),
inference(subst,[],[refute_0_10412:[bind(X,$fot(t6))]]) ).
cnf(refute_0_10414,plain,
and(carry,and(not(t6),xor(carry,t5))) = and(carry,and(not(t6),xor(carry,t5))),
introduced(tautology,[refl,[$fot(and(carry,and(not(t6),xor(carry,t5))))]]) ).
cnf(refute_0_10415,plain,
( and(carry,and(not(t6),xor(carry,t5))) != and(carry,and(not(t6),xor(carry,t5)))
| and(not(t6),xor(carry,t5)) != not(or(t6,and(carry,t5)))
| and(carry,and(not(t6),xor(carry,t5))) = and(carry,not(or(t6,and(carry,t5)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,and(not(t6),xor(carry,t5))),and(carry,and(not(t6),xor(carry,t5)))) ),[1,1],$fot(not(or(t6,and(carry,t5))))]]) ).
cnf(refute_0_10416,plain,
( and(not(t6),xor(carry,t5)) != not(or(t6,and(carry,t5)))
| and(carry,and(not(t6),xor(carry,t5))) = and(carry,not(or(t6,and(carry,t5)))) ),
inference(resolve,[$cnf( $equal(and(carry,and(not(t6),xor(carry,t5))),and(carry,and(not(t6),xor(carry,t5)))) )],[refute_0_10414,refute_0_10415]) ).
cnf(refute_0_10417,plain,
and(carry,and(not(t6),xor(carry,t5))) = and(carry,not(or(t6,and(carry,t5)))),
inference(resolve,[$cnf( $equal(and(not(t6),xor(carry,t5)),not(or(t6,and(carry,t5)))) )],[refute_0_10413,refute_0_10416]) ).
cnf(refute_0_10418,plain,
and(not(t6),and(carry,xor(carry,t5))) = and(carry,and(not(t6),xor(carry,t5))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(t6))),bind(X_221,$fot(carry)),bind(X_222,$fot(xor(carry,t5)))]]) ).
cnf(refute_0_10419,plain,
( and(carry,and(not(t6),xor(carry,t5))) != and(carry,not(or(t6,and(carry,t5))))
| and(not(t6),and(carry,xor(carry,t5))) != and(carry,and(not(t6),xor(carry,t5)))
| and(not(t6),and(carry,xor(carry,t5))) = and(carry,not(or(t6,and(carry,t5)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t6),and(carry,xor(carry,t5))))),bind(Y0,$fot(and(carry,and(not(t6),xor(carry,t5))))),bind(Z0,$fot(and(carry,not(or(t6,and(carry,t5))))))]]) ).
cnf(refute_0_10420,plain,
( and(carry,and(not(t6),xor(carry,t5))) != and(carry,not(or(t6,and(carry,t5))))
| and(not(t6),and(carry,xor(carry,t5))) = and(carry,not(or(t6,and(carry,t5)))) ),
inference(resolve,[$cnf( $equal(and(not(t6),and(carry,xor(carry,t5))),and(carry,and(not(t6),xor(carry,t5)))) )],[refute_0_10418,refute_0_10419]) ).
cnf(refute_0_10421,plain,
and(not(t6),and(carry,xor(carry,t5))) = and(carry,not(or(t6,and(carry,t5)))),
inference(resolve,[$cnf( $equal(and(carry,and(not(t6),xor(carry,t5))),and(carry,not(or(t6,and(carry,t5))))) )],[refute_0_10417,refute_0_10420]) ).
cnf(refute_0_10422,plain,
( and(not(t6),and(carry,xor(carry,t5))) != and(carry,not(or(t6,and(carry,t5))))
| and(not(t6),and(carry,xor(carry,t5))) != ll0
| and(carry,not(or(t6,and(carry,t5)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),and(carry,xor(carry,t5))),ll0) ),[0],$fot(and(carry,not(or(t6,and(carry,t5)))))]]) ).
cnf(refute_0_10423,plain,
( and(not(t6),and(carry,xor(carry,t5))) != ll0
| and(carry,not(or(t6,and(carry,t5)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(not(t6),and(carry,xor(carry,t5))),and(carry,not(or(t6,and(carry,t5))))) )],[refute_0_10421,refute_0_10422]) ).
cnf(refute_0_10424,plain,
and(carry,not(or(t6,and(carry,t5)))) = ll0,
inference(resolve,[$cnf( $equal(and(not(t6),and(carry,xor(carry,t5))),ll0) )],[refute_0_10406,refute_0_10423]) ).
cnf(refute_0_10425,plain,
( and(carry,not(or(t6,and(carry,t5)))) != ll0
| or(and(carry,not(or(t6,and(carry,t5)))),and(not(carry),or(t6,and(carry,t5)))) != xor(carry,or(t6,and(carry,t5)))
| or(ll0,and(not(carry),or(t6,and(carry,t5)))) = xor(carry,or(t6,and(carry,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(carry,not(or(t6,and(carry,t5)))),and(not(carry),or(t6,and(carry,t5)))),xor(carry,or(t6,and(carry,t5)))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_10426,plain,
( or(and(carry,not(or(t6,and(carry,t5)))),and(not(carry),or(t6,and(carry,t5)))) != xor(carry,or(t6,and(carry,t5)))
| or(ll0,and(not(carry),or(t6,and(carry,t5)))) = xor(carry,or(t6,and(carry,t5))) ),
inference(resolve,[$cnf( $equal(and(carry,not(or(t6,and(carry,t5)))),ll0) )],[refute_0_10424,refute_0_10425]) ).
cnf(refute_0_10427,plain,
or(ll0,and(not(carry),or(t6,and(carry,t5)))) = xor(carry,or(t6,and(carry,t5))),
inference(resolve,[$cnf( $equal(or(and(carry,not(or(t6,and(carry,t5)))),and(not(carry),or(t6,and(carry,t5)))),xor(carry,or(t6,and(carry,t5)))) )],[refute_0_10370,refute_0_10426]) ).
cnf(refute_0_10428,plain,
or(ll0,and(not(carry),or(t6,and(carry,t5)))) = and(not(carry),or(t6,and(carry,t5))),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(carry),or(t6,and(carry,t5)))))]]) ).
cnf(refute_0_10429,plain,
( or(ll0,and(not(carry),or(t6,and(carry,t5)))) != and(not(carry),or(t6,and(carry,t5)))
| or(ll0,and(not(carry),or(t6,and(carry,t5)))) != xor(carry,or(t6,and(carry,t5)))
| and(not(carry),or(t6,and(carry,t5))) = xor(carry,or(t6,and(carry,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(carry),or(t6,and(carry,t5)))),xor(carry,or(t6,and(carry,t5)))) ),[0],$fot(and(not(carry),or(t6,and(carry,t5))))]]) ).
cnf(refute_0_10430,plain,
( or(ll0,and(not(carry),or(t6,and(carry,t5)))) != xor(carry,or(t6,and(carry,t5)))
| and(not(carry),or(t6,and(carry,t5))) = xor(carry,or(t6,and(carry,t5))) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(carry),or(t6,and(carry,t5)))),and(not(carry),or(t6,and(carry,t5)))) )],[refute_0_10428,refute_0_10429]) ).
cnf(refute_0_10431,plain,
and(not(carry),or(t6,and(carry,t5))) = xor(carry,or(t6,and(carry,t5))),
inference(resolve,[$cnf( $equal(or(ll0,and(not(carry),or(t6,and(carry,t5)))),xor(carry,or(t6,and(carry,t5)))) )],[refute_0_10427,refute_0_10430]) ).
cnf(refute_0_10432,plain,
( and(not(carry),or(t6,and(carry,t5))) != xor(carry,or(t6,and(carry,t5)))
| or(or(t6,and(carry,t5)),and(not(carry),or(t6,and(carry,t5)))) != or(t6,and(carry,t5))
| or(or(t6,and(carry,t5)),xor(carry,or(t6,and(carry,t5)))) = or(t6,and(carry,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t6,and(carry,t5)),and(not(carry),or(t6,and(carry,t5)))),or(t6,and(carry,t5))) ),[0,1],$fot(xor(carry,or(t6,and(carry,t5))))]]) ).
cnf(refute_0_10433,plain,
( or(or(t6,and(carry,t5)),and(not(carry),or(t6,and(carry,t5)))) != or(t6,and(carry,t5))
| or(or(t6,and(carry,t5)),xor(carry,or(t6,and(carry,t5)))) = or(t6,and(carry,t5)) ),
inference(resolve,[$cnf( $equal(and(not(carry),or(t6,and(carry,t5))),xor(carry,or(t6,and(carry,t5)))) )],[refute_0_10431,refute_0_10432]) ).
cnf(refute_0_10434,plain,
or(or(t6,and(carry,t5)),xor(carry,or(t6,and(carry,t5)))) = or(t6,and(carry,t5)),
inference(resolve,[$cnf( $equal(or(or(t6,and(carry,t5)),and(not(carry),or(t6,and(carry,t5)))),or(t6,and(carry,t5))) )],[refute_0_10369,refute_0_10433]) ).
cnf(refute_0_10435,plain,
or(or(t6,and(carry,t5)),xor(carry,or(t6,and(carry,t5)))) = or(t6,or(and(carry,t5),xor(carry,or(t6,and(carry,t5))))),
inference(subst,[],[or_associative:[bind(X,$fot(t6)),bind(Y,$fot(and(carry,t5))),bind(Z,$fot(xor(carry,or(t6,and(carry,t5)))))]]) ).
cnf(refute_0_10436,plain,
( or(or(t6,and(carry,t5)),xor(carry,or(t6,and(carry,t5)))) != or(t6,and(carry,t5))
| or(or(t6,and(carry,t5)),xor(carry,or(t6,and(carry,t5)))) != or(t6,or(and(carry,t5),xor(carry,or(t6,and(carry,t5)))))
| or(t6,or(and(carry,t5),xor(carry,or(t6,and(carry,t5))))) = or(t6,and(carry,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t6,and(carry,t5)),xor(carry,or(t6,and(carry,t5)))),or(t6,and(carry,t5))) ),[0],$fot(or(t6,or(and(carry,t5),xor(carry,or(t6,and(carry,t5))))))]]) ).
cnf(refute_0_10437,plain,
( or(or(t6,and(carry,t5)),xor(carry,or(t6,and(carry,t5)))) != or(t6,and(carry,t5))
| or(t6,or(and(carry,t5),xor(carry,or(t6,and(carry,t5))))) = or(t6,and(carry,t5)) ),
inference(resolve,[$cnf( $equal(or(or(t6,and(carry,t5)),xor(carry,or(t6,and(carry,t5)))),or(t6,or(and(carry,t5),xor(carry,or(t6,and(carry,t5)))))) )],[refute_0_10435,refute_0_10436]) ).
cnf(refute_0_10438,plain,
or(t6,or(and(carry,t5),xor(carry,or(t6,and(carry,t5))))) = or(t6,and(carry,t5)),
inference(resolve,[$cnf( $equal(or(or(t6,and(carry,t5)),xor(carry,or(t6,and(carry,t5)))),or(t6,and(carry,t5))) )],[refute_0_10434,refute_0_10437]) ).
cnf(refute_0_10439,plain,
xor(carry,xor(t5,or(a,t4))) = xor(t1,or(a,t4)),
inference(subst,[],[refute_0_8984:[bind(Z,$fot(or(a,t4)))]]) ).
cnf(refute_0_10440,plain,
not(not(and(or(carry,t6),or(t1,not(t6))))) = and(or(carry,t6),or(t1,not(t6))),
inference(subst,[],[not_involution:[bind(X,$fot(and(or(carry,t6),or(t1,not(t6)))))]]) ).
cnf(refute_0_10441,plain,
or(and(t1,not(t6)),and(not(t1),t6)) = xor(t1,t6),
inference(subst,[],[refute_0_9:[bind(X,$fot(t1)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_10442,plain,
and(not(carry),not(t6)) = and(t1,and(t5,not(t6))),
inference(subst,[],[refute_0_178:[bind(X_222,$fot(not(t6)))]]) ).
cnf(refute_0_10443,plain,
( and(not(carry),not(t6)) != and(t1,and(t5,not(t6)))
| and(t5,not(t6)) != not(t6)
| and(not(carry),not(t6)) = and(t1,not(t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),not(t6)),and(t1,and(t5,not(t6)))) ),[1,1],$fot(not(t6))]]) ).
cnf(refute_0_10444,plain,
( and(not(carry),not(t6)) != and(t1,and(t5,not(t6)))
| and(not(carry),not(t6)) = and(t1,not(t6)) ),
inference(resolve,[$cnf( $equal(and(t5,not(t6)),not(t6)) )],[refute_0_2003,refute_0_10443]) ).
cnf(refute_0_10445,plain,
and(not(carry),not(t6)) = and(t1,not(t6)),
inference(resolve,[$cnf( $equal(and(not(carry),not(t6)),and(t1,and(t5,not(t6)))) )],[refute_0_10442,refute_0_10444]) ).
cnf(refute_0_10446,plain,
and(not(carry),not(t6)) = not(or(carry,t6)),
inference(subst,[],[refute_0_101:[bind(X,$fot(carry)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_10447,plain,
( and(not(carry),not(t6)) != and(t1,not(t6))
| and(not(carry),not(t6)) != not(or(carry,t6))
| not(or(carry,t6)) = and(t1,not(t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),not(t6)),and(t1,not(t6))) ),[0],$fot(not(or(carry,t6)))]]) ).
cnf(refute_0_10448,plain,
( and(not(carry),not(t6)) != and(t1,not(t6))
| not(or(carry,t6)) = and(t1,not(t6)) ),
inference(resolve,[$cnf( $equal(and(not(carry),not(t6)),not(or(carry,t6))) )],[refute_0_10446,refute_0_10447]) ).
cnf(refute_0_10449,plain,
not(or(carry,t6)) = and(t1,not(t6)),
inference(resolve,[$cnf( $equal(and(not(carry),not(t6)),and(t1,not(t6))) )],[refute_0_10445,refute_0_10448]) ).
cnf(refute_0_10450,plain,
( not(or(carry,t6)) != and(t1,not(t6))
| and(t1,not(t6)) = not(or(carry,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(carry,t6)))),bind(Y0,$fot(and(t1,not(t6))))]]) ).
cnf(refute_0_10451,plain,
and(t1,not(t6)) = not(or(carry,t6)),
inference(resolve,[$cnf( $equal(not(or(carry,t6)),and(t1,not(t6))) )],[refute_0_10449,refute_0_10450]) ).
cnf(refute_0_10452,plain,
( and(t1,not(t6)) != not(or(carry,t6))
| or(and(t1,not(t6)),and(not(t1),t6)) != xor(t1,t6)
| or(not(or(carry,t6)),and(not(t1),t6)) = xor(t1,t6) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t1,not(t6)),and(not(t1),t6)),xor(t1,t6)) ),[0,0],$fot(not(or(carry,t6)))]]) ).
cnf(refute_0_10453,plain,
( or(and(t1,not(t6)),and(not(t1),t6)) != xor(t1,t6)
| or(not(or(carry,t6)),and(not(t1),t6)) = xor(t1,t6) ),
inference(resolve,[$cnf( $equal(and(t1,not(t6)),not(or(carry,t6))) )],[refute_0_10451,refute_0_10452]) ).
cnf(refute_0_10454,plain,
or(not(or(carry,t6)),and(not(t1),t6)) = xor(t1,t6),
inference(resolve,[$cnf( $equal(or(and(t1,not(t6)),and(not(t1),t6)),xor(t1,t6)) )],[refute_0_10441,refute_0_10453]) ).
cnf(refute_0_10455,plain,
or(not(or(carry,t6)),and(not(t1),t6)) = not(and(or(carry,t6),or(t1,not(t6)))),
inference(subst,[],[refute_0_1337:[bind(X,$fot(or(carry,t6))),bind(X_78,$fot(t6)),bind(X_79,$fot(t1))]]) ).
cnf(refute_0_10456,plain,
( or(not(or(carry,t6)),and(not(t1),t6)) != not(and(or(carry,t6),or(t1,not(t6))))
| or(not(or(carry,t6)),and(not(t1),t6)) != xor(t1,t6)
| not(and(or(carry,t6),or(t1,not(t6)))) = xor(t1,t6) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(or(carry,t6)),and(not(t1),t6)),xor(t1,t6)) ),[0],$fot(not(and(or(carry,t6),or(t1,not(t6)))))]]) ).
cnf(refute_0_10457,plain,
( or(not(or(carry,t6)),and(not(t1),t6)) != xor(t1,t6)
| not(and(or(carry,t6),or(t1,not(t6)))) = xor(t1,t6) ),
inference(resolve,[$cnf( $equal(or(not(or(carry,t6)),and(not(t1),t6)),not(and(or(carry,t6),or(t1,not(t6))))) )],[refute_0_10455,refute_0_10456]) ).
cnf(refute_0_10458,plain,
not(and(or(carry,t6),or(t1,not(t6)))) = xor(t1,t6),
inference(resolve,[$cnf( $equal(or(not(or(carry,t6)),and(not(t1),t6)),xor(t1,t6)) )],[refute_0_10454,refute_0_10457]) ).
cnf(refute_0_10459,plain,
( not(and(or(carry,t6),or(t1,not(t6)))) != xor(t1,t6)
| not(not(and(or(carry,t6),or(t1,not(t6))))) != and(or(carry,t6),or(t1,not(t6)))
| not(xor(t1,t6)) = and(or(carry,t6),or(t1,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(or(carry,t6),or(t1,not(t6))))),and(or(carry,t6),or(t1,not(t6)))) ),[0,0],$fot(xor(t1,t6))]]) ).
cnf(refute_0_10460,plain,
( not(not(and(or(carry,t6),or(t1,not(t6))))) != and(or(carry,t6),or(t1,not(t6)))
| not(xor(t1,t6)) = and(or(carry,t6),or(t1,not(t6))) ),
inference(resolve,[$cnf( $equal(not(and(or(carry,t6),or(t1,not(t6)))),xor(t1,t6)) )],[refute_0_10458,refute_0_10459]) ).
cnf(refute_0_10461,plain,
not(xor(t1,t6)) = and(or(carry,t6),or(t1,not(t6))),
inference(resolve,[$cnf( $equal(not(not(and(or(carry,t6),or(t1,not(t6))))),and(or(carry,t6),or(t1,not(t6)))) )],[refute_0_10440,refute_0_10460]) ).
cnf(refute_0_10462,plain,
and(or(carry,t6),t1) = and(t1,or(carry,t6)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t1)),bind(Y,$fot(or(carry,t6)))]]) ).
cnf(refute_0_10463,plain,
or(t1,and(t1,not(t6))) = t1,
inference(subst,[],[or_absorption:[bind(X,$fot(t1)),bind(Y,$fot(not(t6)))]]) ).
cnf(refute_0_10464,plain,
( and(t1,not(t6)) != not(or(carry,t6))
| or(t1,and(t1,not(t6))) != t1
| or(t1,not(or(carry,t6))) = t1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,and(t1,not(t6))),t1) ),[0,1],$fot(not(or(carry,t6)))]]) ).
cnf(refute_0_10465,plain,
( or(t1,and(t1,not(t6))) != t1
| or(t1,not(or(carry,t6))) = t1 ),
inference(resolve,[$cnf( $equal(and(t1,not(t6)),not(or(carry,t6))) )],[refute_0_10451,refute_0_10464]) ).
cnf(refute_0_10466,plain,
or(t1,not(or(carry,t6))) = t1,
inference(resolve,[$cnf( $equal(or(t1,and(t1,not(t6))),t1) )],[refute_0_10463,refute_0_10465]) ).
cnf(refute_0_10467,plain,
and(and(t1,not(carry)),X_222) = and(t1,and(not(carry),X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(t1)),bind(Y,$fot(not(carry))),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_10468,plain,
( and(and(t1,not(carry)),X_222) != and(t1,and(not(carry),X_222))
| and(t1,not(carry)) != not(carry)
| and(not(carry),X_222) = and(t1,and(not(carry),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t1,not(carry)),X_222),and(t1,and(not(carry),X_222))) ),[0,0],$fot(not(carry))]]) ).
cnf(refute_0_10469,plain,
( and(and(t1,not(carry)),X_222) != and(t1,and(not(carry),X_222))
| and(not(carry),X_222) = and(t1,and(not(carry),X_222)) ),
inference(resolve,[$cnf( $equal(and(t1,not(carry)),not(carry)) )],[refute_0_4998,refute_0_10468]) ).
cnf(refute_0_10470,plain,
and(not(carry),X_222) = and(t1,and(not(carry),X_222)),
inference(resolve,[$cnf( $equal(and(and(t1,not(carry)),X_222),and(t1,and(not(carry),X_222))) )],[refute_0_10467,refute_0_10469]) ).
cnf(refute_0_10471,plain,
and(not(carry),or(t4,and(carry,t5))) = and(t1,and(not(carry),or(t4,and(carry,t5)))),
inference(subst,[],[refute_0_10470:[bind(X_222,$fot(or(t4,and(carry,t5))))]]) ).
cnf(refute_0_10472,plain,
or(and(carry,not(or(t4,and(carry,t5)))),and(not(carry),or(t4,and(carry,t5)))) = xor(carry,or(t4,and(carry,t5))),
inference(subst,[],[refute_0_9:[bind(X,$fot(carry)),bind(Y,$fot(or(t4,and(carry,t5))))]]) ).
cnf(refute_0_10473,plain,
and(not(t4),and(carry,xor(carry,t5))) = and(t5,and(not(t4),and(carry,xor(carry,t5)))),
inference(subst,[],[refute_0_10323:[bind(X_222,$fot(and(carry,xor(carry,t5))))]]) ).
cnf(refute_0_10474,plain,
and(t5,and(not(t4),and(carry,xor(carry,t5)))) = ll0,
inference(subst,[],[refute_0_10402:[bind(X_220,$fot(not(t4)))]]) ).
cnf(refute_0_10475,plain,
( and(not(t4),and(carry,xor(carry,t5))) != and(t5,and(not(t4),and(carry,xor(carry,t5))))
| and(t5,and(not(t4),and(carry,xor(carry,t5)))) != ll0
| and(not(t4),and(carry,xor(carry,t5))) = ll0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(t4),and(carry,xor(carry,t5))),ll0) ),[0],$fot(and(t5,and(not(t4),and(carry,xor(carry,t5)))))]]) ).
cnf(refute_0_10476,plain,
( and(not(t4),and(carry,xor(carry,t5))) != and(t5,and(not(t4),and(carry,xor(carry,t5))))
| and(not(t4),and(carry,xor(carry,t5))) = ll0 ),
inference(resolve,[$cnf( $equal(and(t5,and(not(t4),and(carry,xor(carry,t5)))),ll0) )],[refute_0_10474,refute_0_10475]) ).
cnf(refute_0_10477,plain,
and(not(t4),and(carry,xor(carry,t5))) = ll0,
inference(resolve,[$cnf( $equal(and(not(t4),and(carry,xor(carry,t5))),and(t5,and(not(t4),and(carry,xor(carry,t5))))) )],[refute_0_10473,refute_0_10476]) ).
cnf(refute_0_10478,plain,
and(not(t4),xor(carry,t5)) = not(or(t4,and(carry,t5))),
inference(subst,[],[refute_0_10412:[bind(X,$fot(t4))]]) ).
cnf(refute_0_10479,plain,
and(carry,and(not(t4),xor(carry,t5))) = and(carry,and(not(t4),xor(carry,t5))),
introduced(tautology,[refl,[$fot(and(carry,and(not(t4),xor(carry,t5))))]]) ).
cnf(refute_0_10480,plain,
( and(carry,and(not(t4),xor(carry,t5))) != and(carry,and(not(t4),xor(carry,t5)))
| and(not(t4),xor(carry,t5)) != not(or(t4,and(carry,t5)))
| and(carry,and(not(t4),xor(carry,t5))) = and(carry,not(or(t4,and(carry,t5)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,and(not(t4),xor(carry,t5))),and(carry,and(not(t4),xor(carry,t5)))) ),[1,1],$fot(not(or(t4,and(carry,t5))))]]) ).
cnf(refute_0_10481,plain,
( and(not(t4),xor(carry,t5)) != not(or(t4,and(carry,t5)))
| and(carry,and(not(t4),xor(carry,t5))) = and(carry,not(or(t4,and(carry,t5)))) ),
inference(resolve,[$cnf( $equal(and(carry,and(not(t4),xor(carry,t5))),and(carry,and(not(t4),xor(carry,t5)))) )],[refute_0_10479,refute_0_10480]) ).
cnf(refute_0_10482,plain,
and(carry,and(not(t4),xor(carry,t5))) = and(carry,not(or(t4,and(carry,t5)))),
inference(resolve,[$cnf( $equal(and(not(t4),xor(carry,t5)),not(or(t4,and(carry,t5)))) )],[refute_0_10478,refute_0_10481]) ).
cnf(refute_0_10483,plain,
and(not(t4),and(carry,xor(carry,t5))) = and(carry,and(not(t4),xor(carry,t5))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(t4))),bind(X_221,$fot(carry)),bind(X_222,$fot(xor(carry,t5)))]]) ).
cnf(refute_0_10484,plain,
( and(carry,and(not(t4),xor(carry,t5))) != and(carry,not(or(t4,and(carry,t5))))
| and(not(t4),and(carry,xor(carry,t5))) != and(carry,and(not(t4),xor(carry,t5)))
| and(not(t4),and(carry,xor(carry,t5))) = and(carry,not(or(t4,and(carry,t5)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t4),and(carry,xor(carry,t5))))),bind(Y0,$fot(and(carry,and(not(t4),xor(carry,t5))))),bind(Z0,$fot(and(carry,not(or(t4,and(carry,t5))))))]]) ).
cnf(refute_0_10485,plain,
( and(carry,and(not(t4),xor(carry,t5))) != and(carry,not(or(t4,and(carry,t5))))
| and(not(t4),and(carry,xor(carry,t5))) = and(carry,not(or(t4,and(carry,t5)))) ),
inference(resolve,[$cnf( $equal(and(not(t4),and(carry,xor(carry,t5))),and(carry,and(not(t4),xor(carry,t5)))) )],[refute_0_10483,refute_0_10484]) ).
cnf(refute_0_10486,plain,
and(not(t4),and(carry,xor(carry,t5))) = and(carry,not(or(t4,and(carry,t5)))),
inference(resolve,[$cnf( $equal(and(carry,and(not(t4),xor(carry,t5))),and(carry,not(or(t4,and(carry,t5))))) )],[refute_0_10482,refute_0_10485]) ).
cnf(refute_0_10487,plain,
( and(not(t4),and(carry,xor(carry,t5))) != and(carry,not(or(t4,and(carry,t5))))
| and(not(t4),and(carry,xor(carry,t5))) != ll0
| and(carry,not(or(t4,and(carry,t5)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),and(carry,xor(carry,t5))),ll0) ),[0],$fot(and(carry,not(or(t4,and(carry,t5)))))]]) ).
cnf(refute_0_10488,plain,
( and(not(t4),and(carry,xor(carry,t5))) != ll0
| and(carry,not(or(t4,and(carry,t5)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(not(t4),and(carry,xor(carry,t5))),and(carry,not(or(t4,and(carry,t5))))) )],[refute_0_10486,refute_0_10487]) ).
cnf(refute_0_10489,plain,
and(carry,not(or(t4,and(carry,t5)))) = ll0,
inference(resolve,[$cnf( $equal(and(not(t4),and(carry,xor(carry,t5))),ll0) )],[refute_0_10477,refute_0_10488]) ).
cnf(refute_0_10490,plain,
( and(carry,not(or(t4,and(carry,t5)))) != ll0
| or(and(carry,not(or(t4,and(carry,t5)))),and(not(carry),or(t4,and(carry,t5)))) != xor(carry,or(t4,and(carry,t5)))
| or(ll0,and(not(carry),or(t4,and(carry,t5)))) = xor(carry,or(t4,and(carry,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(carry,not(or(t4,and(carry,t5)))),and(not(carry),or(t4,and(carry,t5)))),xor(carry,or(t4,and(carry,t5)))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_10491,plain,
( or(and(carry,not(or(t4,and(carry,t5)))),and(not(carry),or(t4,and(carry,t5)))) != xor(carry,or(t4,and(carry,t5)))
| or(ll0,and(not(carry),or(t4,and(carry,t5)))) = xor(carry,or(t4,and(carry,t5))) ),
inference(resolve,[$cnf( $equal(and(carry,not(or(t4,and(carry,t5)))),ll0) )],[refute_0_10489,refute_0_10490]) ).
cnf(refute_0_10492,plain,
or(ll0,and(not(carry),or(t4,and(carry,t5)))) = xor(carry,or(t4,and(carry,t5))),
inference(resolve,[$cnf( $equal(or(and(carry,not(or(t4,and(carry,t5)))),and(not(carry),or(t4,and(carry,t5)))),xor(carry,or(t4,and(carry,t5)))) )],[refute_0_10472,refute_0_10491]) ).
cnf(refute_0_10493,plain,
or(ll0,and(not(carry),or(t4,and(carry,t5)))) = and(not(carry),or(t4,and(carry,t5))),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(carry),or(t4,and(carry,t5)))))]]) ).
cnf(refute_0_10494,plain,
( or(ll0,and(not(carry),or(t4,and(carry,t5)))) != and(not(carry),or(t4,and(carry,t5)))
| or(ll0,and(not(carry),or(t4,and(carry,t5)))) != xor(carry,or(t4,and(carry,t5)))
| and(not(carry),or(t4,and(carry,t5))) = xor(carry,or(t4,and(carry,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(carry),or(t4,and(carry,t5)))),xor(carry,or(t4,and(carry,t5)))) ),[0],$fot(and(not(carry),or(t4,and(carry,t5))))]]) ).
cnf(refute_0_10495,plain,
( or(ll0,and(not(carry),or(t4,and(carry,t5)))) != xor(carry,or(t4,and(carry,t5)))
| and(not(carry),or(t4,and(carry,t5))) = xor(carry,or(t4,and(carry,t5))) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(carry),or(t4,and(carry,t5)))),and(not(carry),or(t4,and(carry,t5)))) )],[refute_0_10493,refute_0_10494]) ).
cnf(refute_0_10496,plain,
and(not(carry),or(t4,and(carry,t5))) = xor(carry,or(t4,and(carry,t5))),
inference(resolve,[$cnf( $equal(or(ll0,and(not(carry),or(t4,and(carry,t5)))),xor(carry,or(t4,and(carry,t5)))) )],[refute_0_10492,refute_0_10495]) ).
cnf(refute_0_10497,plain,
( and(not(carry),or(t4,and(carry,t5))) != and(t1,and(not(carry),or(t4,and(carry,t5))))
| and(not(carry),or(t4,and(carry,t5))) != xor(carry,or(t4,and(carry,t5)))
| and(not(carry),or(t4,and(carry,t5))) = and(t1,xor(carry,or(t4,and(carry,t5)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),or(t4,and(carry,t5))),and(t1,and(not(carry),or(t4,and(carry,t5))))) ),[1,1],$fot(xor(carry,or(t4,and(carry,t5))))]]) ).
cnf(refute_0_10498,plain,
( and(not(carry),or(t4,and(carry,t5))) != and(t1,and(not(carry),or(t4,and(carry,t5))))
| and(not(carry),or(t4,and(carry,t5))) = and(t1,xor(carry,or(t4,and(carry,t5)))) ),
inference(resolve,[$cnf( $equal(and(not(carry),or(t4,and(carry,t5))),xor(carry,or(t4,and(carry,t5)))) )],[refute_0_10496,refute_0_10497]) ).
cnf(refute_0_10499,plain,
and(not(carry),or(t4,and(carry,t5))) = and(t1,xor(carry,or(t4,and(carry,t5)))),
inference(resolve,[$cnf( $equal(and(not(carry),or(t4,and(carry,t5))),and(t1,and(not(carry),or(t4,and(carry,t5))))) )],[refute_0_10471,refute_0_10498]) ).
cnf(refute_0_10500,plain,
( and(not(carry),or(t4,and(carry,t5))) != and(t1,xor(carry,or(t4,and(carry,t5))))
| and(not(carry),or(t4,and(carry,t5))) != xor(carry,or(t4,and(carry,t5)))
| xor(carry,or(t4,and(carry,t5))) = and(t1,xor(carry,or(t4,and(carry,t5)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),or(t4,and(carry,t5))),and(t1,xor(carry,or(t4,and(carry,t5))))) ),[0],$fot(xor(carry,or(t4,and(carry,t5))))]]) ).
cnf(refute_0_10501,plain,
( and(not(carry),or(t4,and(carry,t5))) != and(t1,xor(carry,or(t4,and(carry,t5))))
| xor(carry,or(t4,and(carry,t5))) = and(t1,xor(carry,or(t4,and(carry,t5)))) ),
inference(resolve,[$cnf( $equal(and(not(carry),or(t4,and(carry,t5))),xor(carry,or(t4,and(carry,t5)))) )],[refute_0_10496,refute_0_10500]) ).
cnf(refute_0_10502,plain,
xor(carry,or(t4,and(carry,t5))) = and(t1,xor(carry,or(t4,and(carry,t5)))),
inference(resolve,[$cnf( $equal(and(not(carry),or(t4,and(carry,t5))),and(t1,xor(carry,or(t4,and(carry,t5))))) )],[refute_0_10499,refute_0_10501]) ).
cnf(refute_0_10503,plain,
or(t4,and(carry,t5)) = or(t4,and(carry,t5)),
introduced(tautology,[refl,[$fot(or(t4,and(carry,t5)))]]) ).
cnf(refute_0_10504,plain,
( and(carry,t5) != not(t1)
| or(t4,and(carry,t5)) != or(t4,and(carry,t5))
| or(t4,and(carry,t5)) = or(t4,not(t1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,and(carry,t5)),or(t4,and(carry,t5))) ),[1,1],$fot(not(t1))]]) ).
cnf(refute_0_10505,plain,
( and(carry,t5) != not(t1)
| or(t4,and(carry,t5)) = or(t4,not(t1)) ),
inference(resolve,[$cnf( $equal(or(t4,and(carry,t5)),or(t4,and(carry,t5))) )],[refute_0_10503,refute_0_10504]) ).
cnf(refute_0_10506,plain,
or(t4,and(carry,t5)) = or(t4,not(t1)),
inference(resolve,[$cnf( $equal(and(carry,t5),not(t1)) )],[refute_0_8966,refute_0_10505]) ).
cnf(refute_0_10507,plain,
( or(t4,and(carry,t5)) != or(t4,not(t1))
| or(t4,not(t1)) != or(carry,t4)
| or(t4,and(carry,t5)) = or(carry,t4) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t4,and(carry,t5)))),bind(Y0,$fot(or(t4,not(t1)))),bind(Z0,$fot(or(carry,t4)))]]) ).
cnf(refute_0_10508,plain,
( or(t4,not(t1)) != or(carry,t4)
| or(t4,and(carry,t5)) = or(carry,t4) ),
inference(resolve,[$cnf( $equal(or(t4,and(carry,t5)),or(t4,not(t1))) )],[refute_0_10506,refute_0_10507]) ).
cnf(refute_0_10509,plain,
or(t4,and(carry,t5)) = or(carry,t4),
inference(resolve,[$cnf( $equal(or(t4,not(t1)),or(carry,t4)) )],[refute_0_3451,refute_0_10508]) ).
cnf(refute_0_10510,plain,
xor(carry,or(t4,and(carry,t5))) = xor(carry,or(t4,and(carry,t5))),
introduced(tautology,[refl,[$fot(xor(carry,or(t4,and(carry,t5))))]]) ).
cnf(refute_0_10511,plain,
( or(t4,and(carry,t5)) != or(carry,t4)
| xor(carry,or(t4,and(carry,t5))) != xor(carry,or(t4,and(carry,t5)))
| xor(carry,or(t4,and(carry,t5))) = xor(carry,or(carry,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,or(t4,and(carry,t5))),xor(carry,or(t4,and(carry,t5)))) ),[1,1],$fot(or(carry,t4))]]) ).
cnf(refute_0_10512,plain,
( or(t4,and(carry,t5)) != or(carry,t4)
| xor(carry,or(t4,and(carry,t5))) = xor(carry,or(carry,t4)) ),
inference(resolve,[$cnf( $equal(xor(carry,or(t4,and(carry,t5))),xor(carry,or(t4,and(carry,t5)))) )],[refute_0_10510,refute_0_10511]) ).
cnf(refute_0_10513,plain,
xor(carry,or(t4,and(carry,t5))) = xor(carry,or(carry,t4)),
inference(resolve,[$cnf( $equal(or(t4,and(carry,t5)),or(carry,t4)) )],[refute_0_10509,refute_0_10512]) ).
cnf(refute_0_10514,plain,
( xor(carry,or(t4,and(carry,t5))) != and(t1,xor(carry,or(t4,and(carry,t5))))
| xor(carry,or(t4,and(carry,t5))) != xor(carry,or(carry,t4))
| xor(carry,or(carry,t4)) = and(t1,xor(carry,or(t4,and(carry,t5)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,or(t4,and(carry,t5))),and(t1,xor(carry,or(t4,and(carry,t5))))) ),[0],$fot(xor(carry,or(carry,t4)))]]) ).
cnf(refute_0_10515,plain,
( xor(carry,or(t4,and(carry,t5))) != and(t1,xor(carry,or(t4,and(carry,t5))))
| xor(carry,or(carry,t4)) = and(t1,xor(carry,or(t4,and(carry,t5)))) ),
inference(resolve,[$cnf( $equal(xor(carry,or(t4,and(carry,t5))),xor(carry,or(carry,t4))) )],[refute_0_10513,refute_0_10514]) ).
cnf(refute_0_10516,plain,
and(t1,xor(carry,or(t4,and(carry,t5)))) = and(t1,xor(carry,or(t4,and(carry,t5)))),
introduced(tautology,[refl,[$fot(and(t1,xor(carry,or(t4,and(carry,t5)))))]]) ).
cnf(refute_0_10517,plain,
( and(t1,xor(carry,or(t4,and(carry,t5)))) != and(t1,xor(carry,or(t4,and(carry,t5))))
| xor(carry,or(t4,and(carry,t5))) != xor(carry,or(carry,t4))
| and(t1,xor(carry,or(t4,and(carry,t5)))) = and(t1,xor(carry,or(carry,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,xor(carry,or(t4,and(carry,t5)))),and(t1,xor(carry,or(t4,and(carry,t5))))) ),[1,1],$fot(xor(carry,or(carry,t4)))]]) ).
cnf(refute_0_10518,plain,
( xor(carry,or(t4,and(carry,t5))) != xor(carry,or(carry,t4))
| and(t1,xor(carry,or(t4,and(carry,t5)))) = and(t1,xor(carry,or(carry,t4))) ),
inference(resolve,[$cnf( $equal(and(t1,xor(carry,or(t4,and(carry,t5)))),and(t1,xor(carry,or(t4,and(carry,t5))))) )],[refute_0_10516,refute_0_10517]) ).
cnf(refute_0_10519,plain,
and(t1,xor(carry,or(t4,and(carry,t5)))) = and(t1,xor(carry,or(carry,t4))),
inference(resolve,[$cnf( $equal(xor(carry,or(t4,and(carry,t5))),xor(carry,or(carry,t4))) )],[refute_0_10513,refute_0_10518]) ).
cnf(refute_0_10520,plain,
( and(t1,xor(carry,or(t4,and(carry,t5)))) != and(t1,xor(carry,or(carry,t4)))
| xor(carry,or(carry,t4)) != and(t1,xor(carry,or(t4,and(carry,t5))))
| xor(carry,or(carry,t4)) = and(t1,xor(carry,or(carry,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,or(carry,t4)),and(t1,xor(carry,or(t4,and(carry,t5))))) ),[1],$fot(and(t1,xor(carry,or(carry,t4))))]]) ).
cnf(refute_0_10521,plain,
( xor(carry,or(carry,t4)) != and(t1,xor(carry,or(t4,and(carry,t5))))
| xor(carry,or(carry,t4)) = and(t1,xor(carry,or(carry,t4))) ),
inference(resolve,[$cnf( $equal(and(t1,xor(carry,or(t4,and(carry,t5)))),and(t1,xor(carry,or(carry,t4)))) )],[refute_0_10519,refute_0_10520]) ).
cnf(refute_0_10522,plain,
( xor(carry,or(t4,and(carry,t5))) != and(t1,xor(carry,or(t4,and(carry,t5))))
| xor(carry,or(carry,t4)) = and(t1,xor(carry,or(carry,t4))) ),
inference(resolve,[$cnf( $equal(xor(carry,or(carry,t4)),and(t1,xor(carry,or(t4,and(carry,t5))))) )],[refute_0_10515,refute_0_10521]) ).
cnf(refute_0_10523,plain,
xor(carry,or(carry,t4)) = and(t1,xor(carry,or(carry,t4))),
inference(resolve,[$cnf( $equal(xor(carry,or(t4,and(carry,t5))),and(t1,xor(carry,or(t4,and(carry,t5))))) )],[refute_0_10502,refute_0_10522]) ).
cnf(refute_0_10524,plain,
( not(or(X,xor(t1,t4))) != and(not(X),or(carry,t4))
| and(not(X),or(carry,t4)) = not(or(X,xor(t1,t4))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X,xor(t1,t4))))),bind(Y0,$fot(and(not(X),or(carry,t4))))]]) ).
cnf(refute_0_10525,plain,
and(not(X),or(carry,t4)) = not(or(X,xor(t1,t4))),
inference(resolve,[$cnf( $equal(not(or(X,xor(t1,t4))),and(not(X),or(carry,t4))) )],[refute_0_4613,refute_0_10524]) ).
cnf(refute_0_10526,plain,
and(not(carry),or(carry,t4)) = not(or(carry,xor(t1,t4))),
inference(subst,[],[refute_0_10525:[bind(X,$fot(carry))]]) ).
cnf(refute_0_10527,plain,
and(not(carry),or(t4,and(carry,t5))) = and(not(carry),or(t4,and(carry,t5))),
introduced(tautology,[refl,[$fot(and(not(carry),or(t4,and(carry,t5))))]]) ).
cnf(refute_0_10528,plain,
( and(not(carry),or(t4,and(carry,t5))) != and(not(carry),or(t4,and(carry,t5)))
| or(t4,and(carry,t5)) != or(carry,t4)
| and(not(carry),or(t4,and(carry,t5))) = and(not(carry),or(carry,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),or(t4,and(carry,t5))),and(not(carry),or(t4,and(carry,t5)))) ),[1,1],$fot(or(carry,t4))]]) ).
cnf(refute_0_10529,plain,
( or(t4,and(carry,t5)) != or(carry,t4)
| and(not(carry),or(t4,and(carry,t5))) = and(not(carry),or(carry,t4)) ),
inference(resolve,[$cnf( $equal(and(not(carry),or(t4,and(carry,t5))),and(not(carry),or(t4,and(carry,t5)))) )],[refute_0_10527,refute_0_10528]) ).
cnf(refute_0_10530,plain,
and(not(carry),or(t4,and(carry,t5))) = and(not(carry),or(carry,t4)),
inference(resolve,[$cnf( $equal(or(t4,and(carry,t5)),or(carry,t4)) )],[refute_0_10509,refute_0_10529]) ).
cnf(refute_0_10531,plain,
( and(not(carry),or(carry,t4)) != not(or(carry,xor(t1,t4)))
| and(not(carry),or(t4,and(carry,t5))) != and(not(carry),or(carry,t4))
| and(not(carry),or(t4,and(carry,t5))) = not(or(carry,xor(t1,t4))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(carry),or(t4,and(carry,t5))))),bind(Y0,$fot(and(not(carry),or(carry,t4)))),bind(Z0,$fot(not(or(carry,xor(t1,t4)))))]]) ).
cnf(refute_0_10532,plain,
( and(not(carry),or(carry,t4)) != not(or(carry,xor(t1,t4)))
| and(not(carry),or(t4,and(carry,t5))) = not(or(carry,xor(t1,t4))) ),
inference(resolve,[$cnf( $equal(and(not(carry),or(t4,and(carry,t5))),and(not(carry),or(carry,t4))) )],[refute_0_10530,refute_0_10531]) ).
cnf(refute_0_10533,plain,
and(not(carry),or(t4,and(carry,t5))) = not(or(carry,xor(t1,t4))),
inference(resolve,[$cnf( $equal(and(not(carry),or(carry,t4)),not(or(carry,xor(t1,t4)))) )],[refute_0_10526,refute_0_10532]) ).
cnf(refute_0_10534,plain,
( and(not(carry),or(t4,and(carry,t5))) != not(or(carry,xor(t1,t4)))
| and(not(carry),or(t4,and(carry,t5))) != xor(carry,or(t4,and(carry,t5)))
| not(or(carry,xor(t1,t4))) = xor(carry,or(t4,and(carry,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),or(t4,and(carry,t5))),xor(carry,or(t4,and(carry,t5)))) ),[0],$fot(not(or(carry,xor(t1,t4))))]]) ).
cnf(refute_0_10535,plain,
( and(not(carry),or(t4,and(carry,t5))) != xor(carry,or(t4,and(carry,t5)))
| not(or(carry,xor(t1,t4))) = xor(carry,or(t4,and(carry,t5))) ),
inference(resolve,[$cnf( $equal(and(not(carry),or(t4,and(carry,t5))),not(or(carry,xor(t1,t4)))) )],[refute_0_10533,refute_0_10534]) ).
cnf(refute_0_10536,plain,
( not(or(carry,xor(t1,t4))) != xor(carry,or(t4,and(carry,t5)))
| xor(carry,or(t4,and(carry,t5))) != xor(carry,or(carry,t4))
| not(or(carry,xor(t1,t4))) = xor(carry,or(carry,t4)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(or(carry,xor(t1,t4))),xor(carry,or(carry,t4))) ),[0],$fot(xor(carry,or(t4,and(carry,t5))))]]) ).
cnf(refute_0_10537,plain,
( not(or(carry,xor(t1,t4))) != xor(carry,or(t4,and(carry,t5)))
| not(or(carry,xor(t1,t4))) = xor(carry,or(carry,t4)) ),
inference(resolve,[$cnf( $equal(xor(carry,or(t4,and(carry,t5))),xor(carry,or(carry,t4))) )],[refute_0_10513,refute_0_10536]) ).
cnf(refute_0_10538,plain,
( and(not(carry),or(t4,and(carry,t5))) != xor(carry,or(t4,and(carry,t5)))
| not(or(carry,xor(t1,t4))) = xor(carry,or(carry,t4)) ),
inference(resolve,[$cnf( $equal(not(or(carry,xor(t1,t4))),xor(carry,or(t4,and(carry,t5)))) )],[refute_0_10535,refute_0_10537]) ).
cnf(refute_0_10539,plain,
not(or(carry,xor(t1,t4))) = xor(carry,or(carry,t4)),
inference(resolve,[$cnf( $equal(and(not(carry),or(t4,and(carry,t5))),xor(carry,or(t4,and(carry,t5)))) )],[refute_0_10496,refute_0_10538]) ).
cnf(refute_0_10540,plain,
or(carry,xor(t1,t4)) = or(carry,xor(t1,t4)),
introduced(tautology,[refl,[$fot(or(carry,xor(t1,t4)))]]) ).
cnf(refute_0_10541,plain,
( or(carry,xor(t1,t4)) != or(carry,xor(t1,t4))
| xor(t1,t4) != xor(carry,t6)
| or(carry,xor(t1,t4)) = or(carry,xor(carry,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,xor(t1,t4)),or(carry,xor(t1,t4))) ),[1,1],$fot(xor(carry,t6))]]) ).
cnf(refute_0_10542,plain,
( xor(t1,t4) != xor(carry,t6)
| or(carry,xor(t1,t4)) = or(carry,xor(carry,t6)) ),
inference(resolve,[$cnf( $equal(or(carry,xor(t1,t4)),or(carry,xor(t1,t4))) )],[refute_0_10540,refute_0_10541]) ).
cnf(refute_0_10543,plain,
or(carry,xor(t1,t4)) = or(carry,xor(carry,t6)),
inference(resolve,[$cnf( $equal(xor(t1,t4),xor(carry,t6)) )],[refute_0_1496,refute_0_10542]) ).
cnf(refute_0_10544,plain,
not(or(carry,xor(t1,t4))) = not(or(carry,xor(t1,t4))),
introduced(tautology,[refl,[$fot(not(or(carry,xor(t1,t4))))]]) ).
cnf(refute_0_10545,plain,
( not(or(carry,xor(t1,t4))) != not(or(carry,xor(t1,t4)))
| or(carry,xor(t1,t4)) != or(carry,xor(carry,t6))
| not(or(carry,xor(t1,t4))) = not(or(carry,xor(carry,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,xor(t1,t4))),not(or(carry,xor(t1,t4)))) ),[1,0],$fot(or(carry,xor(carry,t6)))]]) ).
cnf(refute_0_10546,plain,
( or(carry,xor(t1,t4)) != or(carry,xor(carry,t6))
| not(or(carry,xor(t1,t4))) = not(or(carry,xor(carry,t6))) ),
inference(resolve,[$cnf( $equal(not(or(carry,xor(t1,t4))),not(or(carry,xor(t1,t4)))) )],[refute_0_10544,refute_0_10545]) ).
cnf(refute_0_10547,plain,
not(or(carry,xor(t1,t4))) = not(or(carry,xor(carry,t6))),
inference(resolve,[$cnf( $equal(or(carry,xor(t1,t4)),or(carry,xor(carry,t6))) )],[refute_0_10543,refute_0_10546]) ).
cnf(refute_0_10548,plain,
( not(or(carry,xor(t1,t4))) != not(or(carry,xor(carry,t6)))
| not(or(carry,xor(t1,t4))) != xor(carry,or(carry,t4))
| not(or(carry,xor(carry,t6))) = xor(carry,or(carry,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,xor(t1,t4))),xor(carry,or(carry,t4))) ),[0],$fot(not(or(carry,xor(carry,t6))))]]) ).
cnf(refute_0_10549,plain,
( not(or(carry,xor(t1,t4))) != xor(carry,or(carry,t4))
| not(or(carry,xor(carry,t6))) = xor(carry,or(carry,t4)) ),
inference(resolve,[$cnf( $equal(not(or(carry,xor(t1,t4))),not(or(carry,xor(carry,t6)))) )],[refute_0_10547,refute_0_10548]) ).
cnf(refute_0_10550,plain,
not(or(carry,xor(carry,t6))) = xor(carry,or(carry,t4)),
inference(resolve,[$cnf( $equal(not(or(carry,xor(t1,t4))),xor(carry,or(carry,t4))) )],[refute_0_10539,refute_0_10549]) ).
cnf(refute_0_10551,plain,
not(and(or(t4,and(carry,t5)),not(carry))) = not(and(not(carry),or(t4,and(carry,t5)))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(not(carry))),bind(X_32,$fot(or(t4,and(carry,t5))))]]) ).
cnf(refute_0_10552,plain,
( and(not(carry),or(t4,and(carry,t5))) != xor(carry,or(t4,and(carry,t5)))
| not(and(or(t4,and(carry,t5)),not(carry))) != not(and(not(carry),or(t4,and(carry,t5))))
| not(and(or(t4,and(carry,t5)),not(carry))) = not(xor(carry,or(t4,and(carry,t5)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(t4,and(carry,t5)),not(carry))),not(and(not(carry),or(t4,and(carry,t5))))) ),[1,0],$fot(xor(carry,or(t4,and(carry,t5))))]]) ).
cnf(refute_0_10553,plain,
( not(and(or(t4,and(carry,t5)),not(carry))) != not(and(not(carry),or(t4,and(carry,t5))))
| not(and(or(t4,and(carry,t5)),not(carry))) = not(xor(carry,or(t4,and(carry,t5)))) ),
inference(resolve,[$cnf( $equal(and(not(carry),or(t4,and(carry,t5))),xor(carry,or(t4,and(carry,t5)))) )],[refute_0_10496,refute_0_10552]) ).
cnf(refute_0_10554,plain,
not(and(or(t4,and(carry,t5)),not(carry))) = not(xor(carry,or(t4,and(carry,t5)))),
inference(resolve,[$cnf( $equal(not(and(or(t4,and(carry,t5)),not(carry))),not(and(not(carry),or(t4,and(carry,t5))))) )],[refute_0_10551,refute_0_10553]) ).
cnf(refute_0_10555,plain,
not(and(not(carry),or(t4,and(carry,t5)))) = or(carry,not(or(t4,and(carry,t5)))),
inference(subst,[],[refute_0_787:[bind(X,$fot(carry)),bind(X_32,$fot(or(t4,and(carry,t5))))]]) ).
cnf(refute_0_10556,plain,
( not(and(not(carry),or(t4,and(carry,t5)))) != or(carry,not(or(t4,and(carry,t5))))
| not(and(or(t4,and(carry,t5)),not(carry))) != not(and(not(carry),or(t4,and(carry,t5))))
| not(and(or(t4,and(carry,t5)),not(carry))) = or(carry,not(or(t4,and(carry,t5)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(or(t4,and(carry,t5)),not(carry))))),bind(Y0,$fot(not(and(not(carry),or(t4,and(carry,t5)))))),bind(Z0,$fot(or(carry,not(or(t4,and(carry,t5))))))]]) ).
cnf(refute_0_10557,plain,
( not(and(not(carry),or(t4,and(carry,t5)))) != or(carry,not(or(t4,and(carry,t5))))
| not(and(or(t4,and(carry,t5)),not(carry))) = or(carry,not(or(t4,and(carry,t5)))) ),
inference(resolve,[$cnf( $equal(not(and(or(t4,and(carry,t5)),not(carry))),not(and(not(carry),or(t4,and(carry,t5))))) )],[refute_0_10551,refute_0_10556]) ).
cnf(refute_0_10558,plain,
not(and(or(t4,and(carry,t5)),not(carry))) = or(carry,not(or(t4,and(carry,t5)))),
inference(resolve,[$cnf( $equal(not(and(not(carry),or(t4,and(carry,t5)))),or(carry,not(or(t4,and(carry,t5))))) )],[refute_0_10555,refute_0_10557]) ).
cnf(refute_0_10559,plain,
( not(and(or(t4,and(carry,t5)),not(carry))) != not(xor(carry,or(t4,and(carry,t5))))
| not(and(or(t4,and(carry,t5)),not(carry))) != or(carry,not(or(t4,and(carry,t5))))
| or(carry,not(or(t4,and(carry,t5)))) = not(xor(carry,or(t4,and(carry,t5)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(t4,and(carry,t5)),not(carry))),not(xor(carry,or(t4,and(carry,t5))))) ),[0],$fot(or(carry,not(or(t4,and(carry,t5)))))]]) ).
cnf(refute_0_10560,plain,
( not(and(or(t4,and(carry,t5)),not(carry))) != not(xor(carry,or(t4,and(carry,t5))))
| or(carry,not(or(t4,and(carry,t5)))) = not(xor(carry,or(t4,and(carry,t5)))) ),
inference(resolve,[$cnf( $equal(not(and(or(t4,and(carry,t5)),not(carry))),or(carry,not(or(t4,and(carry,t5))))) )],[refute_0_10558,refute_0_10559]) ).
cnf(refute_0_10561,plain,
or(carry,not(or(t4,and(carry,t5)))) = not(xor(carry,or(t4,and(carry,t5)))),
inference(resolve,[$cnf( $equal(not(and(or(t4,and(carry,t5)),not(carry))),not(xor(carry,or(t4,and(carry,t5))))) )],[refute_0_10554,refute_0_10560]) ).
cnf(refute_0_10562,plain,
not(or(t4,and(carry,t5))) = not(or(t4,and(carry,t5))),
introduced(tautology,[refl,[$fot(not(or(t4,and(carry,t5))))]]) ).
cnf(refute_0_10563,plain,
( not(or(t4,and(carry,t5))) != not(or(t4,and(carry,t5)))
| or(t4,and(carry,t5)) != or(carry,t4)
| not(or(t4,and(carry,t5))) = not(or(carry,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t4,and(carry,t5))),not(or(t4,and(carry,t5)))) ),[1,0],$fot(or(carry,t4))]]) ).
cnf(refute_0_10564,plain,
( or(t4,and(carry,t5)) != or(carry,t4)
| not(or(t4,and(carry,t5))) = not(or(carry,t4)) ),
inference(resolve,[$cnf( $equal(not(or(t4,and(carry,t5))),not(or(t4,and(carry,t5)))) )],[refute_0_10562,refute_0_10563]) ).
cnf(refute_0_10565,plain,
not(or(t4,and(carry,t5))) = not(or(carry,t4)),
inference(resolve,[$cnf( $equal(or(t4,and(carry,t5)),or(carry,t4)) )],[refute_0_10509,refute_0_10564]) ).
cnf(refute_0_10566,plain,
( not(or(carry,t4)) != xor(t1,t4)
| not(or(t4,and(carry,t5))) != not(or(carry,t4))
| not(or(t4,and(carry,t5))) = xor(t1,t4) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(t4,and(carry,t5))))),bind(Y0,$fot(not(or(carry,t4)))),bind(Z0,$fot(xor(t1,t4)))]]) ).
cnf(refute_0_10567,plain,
( not(or(carry,t4)) != xor(t1,t4)
| not(or(t4,and(carry,t5))) = xor(t1,t4) ),
inference(resolve,[$cnf( $equal(not(or(t4,and(carry,t5))),not(or(carry,t4))) )],[refute_0_10565,refute_0_10566]) ).
cnf(refute_0_10568,plain,
not(or(t4,and(carry,t5))) = xor(t1,t4),
inference(resolve,[$cnf( $equal(not(or(carry,t4)),xor(t1,t4)) )],[refute_0_2198,refute_0_10567]) ).
cnf(refute_0_10569,plain,
or(carry,not(or(t4,and(carry,t5)))) = or(carry,not(or(t4,and(carry,t5)))),
introduced(tautology,[refl,[$fot(or(carry,not(or(t4,and(carry,t5)))))]]) ).
cnf(refute_0_10570,plain,
( not(or(t4,and(carry,t5))) != xor(t1,t4)
| or(carry,not(or(t4,and(carry,t5)))) != or(carry,not(or(t4,and(carry,t5))))
| or(carry,not(or(t4,and(carry,t5)))) = or(carry,xor(t1,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(or(t4,and(carry,t5)))),or(carry,not(or(t4,and(carry,t5))))) ),[1,1],$fot(xor(t1,t4))]]) ).
cnf(refute_0_10571,plain,
( not(or(t4,and(carry,t5))) != xor(t1,t4)
| or(carry,not(or(t4,and(carry,t5)))) = or(carry,xor(t1,t4)) ),
inference(resolve,[$cnf( $equal(or(carry,not(or(t4,and(carry,t5)))),or(carry,not(or(t4,and(carry,t5))))) )],[refute_0_10569,refute_0_10570]) ).
cnf(refute_0_10572,plain,
or(carry,not(or(t4,and(carry,t5)))) = or(carry,xor(t1,t4)),
inference(resolve,[$cnf( $equal(not(or(t4,and(carry,t5))),xor(t1,t4)) )],[refute_0_10568,refute_0_10571]) ).
cnf(refute_0_10573,plain,
( or(carry,not(or(t4,and(carry,t5)))) != not(xor(carry,or(t4,and(carry,t5))))
| or(carry,not(or(t4,and(carry,t5)))) != or(carry,xor(t1,t4))
| or(carry,xor(t1,t4)) = not(xor(carry,or(t4,and(carry,t5)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(or(t4,and(carry,t5)))),not(xor(carry,or(t4,and(carry,t5))))) ),[0],$fot(or(carry,xor(t1,t4)))]]) ).
cnf(refute_0_10574,plain,
( or(carry,not(or(t4,and(carry,t5)))) != not(xor(carry,or(t4,and(carry,t5))))
| or(carry,xor(t1,t4)) = not(xor(carry,or(t4,and(carry,t5)))) ),
inference(resolve,[$cnf( $equal(or(carry,not(or(t4,and(carry,t5)))),or(carry,xor(t1,t4))) )],[refute_0_10572,refute_0_10573]) ).
cnf(refute_0_10575,plain,
not(xor(carry,or(t4,and(carry,t5)))) = not(xor(carry,or(t4,and(carry,t5)))),
introduced(tautology,[refl,[$fot(not(xor(carry,or(t4,and(carry,t5)))))]]) ).
cnf(refute_0_10576,plain,
( not(xor(carry,or(t4,and(carry,t5)))) != not(xor(carry,or(t4,and(carry,t5))))
| xor(carry,or(t4,and(carry,t5))) != xor(carry,or(carry,t4))
| not(xor(carry,or(t4,and(carry,t5)))) = not(xor(carry,or(carry,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(carry,or(t4,and(carry,t5)))),not(xor(carry,or(t4,and(carry,t5))))) ),[1,0],$fot(xor(carry,or(carry,t4)))]]) ).
cnf(refute_0_10577,plain,
( xor(carry,or(t4,and(carry,t5))) != xor(carry,or(carry,t4))
| not(xor(carry,or(t4,and(carry,t5)))) = not(xor(carry,or(carry,t4))) ),
inference(resolve,[$cnf( $equal(not(xor(carry,or(t4,and(carry,t5)))),not(xor(carry,or(t4,and(carry,t5))))) )],[refute_0_10575,refute_0_10576]) ).
cnf(refute_0_10578,plain,
not(xor(carry,or(t4,and(carry,t5)))) = not(xor(carry,or(carry,t4))),
inference(resolve,[$cnf( $equal(xor(carry,or(t4,and(carry,t5))),xor(carry,or(carry,t4))) )],[refute_0_10513,refute_0_10577]) ).
cnf(refute_0_10579,plain,
( not(xor(carry,or(t4,and(carry,t5)))) != not(xor(carry,or(carry,t4)))
| or(carry,xor(t1,t4)) != not(xor(carry,or(t4,and(carry,t5))))
| or(carry,xor(t1,t4)) = not(xor(carry,or(carry,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,xor(t1,t4)),not(xor(carry,or(t4,and(carry,t5))))) ),[1],$fot(not(xor(carry,or(carry,t4))))]]) ).
cnf(refute_0_10580,plain,
( or(carry,xor(t1,t4)) != not(xor(carry,or(t4,and(carry,t5))))
| or(carry,xor(t1,t4)) = not(xor(carry,or(carry,t4))) ),
inference(resolve,[$cnf( $equal(not(xor(carry,or(t4,and(carry,t5)))),not(xor(carry,or(carry,t4)))) )],[refute_0_10578,refute_0_10579]) ).
cnf(refute_0_10581,plain,
( or(carry,not(or(t4,and(carry,t5)))) != not(xor(carry,or(t4,and(carry,t5))))
| or(carry,xor(t1,t4)) = not(xor(carry,or(carry,t4))) ),
inference(resolve,[$cnf( $equal(or(carry,xor(t1,t4)),not(xor(carry,or(t4,and(carry,t5))))) )],[refute_0_10574,refute_0_10580]) ).
cnf(refute_0_10582,plain,
or(carry,xor(t1,t4)) = not(xor(carry,or(carry,t4))),
inference(resolve,[$cnf( $equal(or(carry,not(or(t4,and(carry,t5)))),not(xor(carry,or(t4,and(carry,t5))))) )],[refute_0_10561,refute_0_10581]) ).
cnf(refute_0_10583,plain,
( or(carry,xor(t1,t4)) != not(xor(carry,or(carry,t4)))
| or(carry,xor(t1,t4)) != or(carry,xor(carry,t6))
| or(carry,xor(carry,t6)) = not(xor(carry,or(carry,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,xor(t1,t4)),not(xor(carry,or(carry,t4)))) ),[0],$fot(or(carry,xor(carry,t6)))]]) ).
cnf(refute_0_10584,plain,
( or(carry,xor(t1,t4)) != not(xor(carry,or(carry,t4)))
| or(carry,xor(carry,t6)) = not(xor(carry,or(carry,t4))) ),
inference(resolve,[$cnf( $equal(or(carry,xor(t1,t4)),or(carry,xor(carry,t6))) )],[refute_0_10543,refute_0_10583]) ).
cnf(refute_0_10585,plain,
or(carry,xor(carry,t6)) = not(xor(carry,or(carry,t4))),
inference(resolve,[$cnf( $equal(or(carry,xor(t1,t4)),not(xor(carry,or(carry,t4)))) )],[refute_0_10582,refute_0_10584]) ).
cnf(refute_0_10586,plain,
xor(carry,xor(carry,t6)) = t6,
inference(subst,[],[refute_0_88:[bind(X_334,$fot(carry)),bind(X_335,$fot(t6))]]) ).
cnf(refute_0_10587,plain,
not(xor(carry,or(carry,t4))) = xor(carry,xor(carry,t6)),
inference(subst,[],[refute_0_3656:[bind(X,$fot(carry))]]) ).
cnf(refute_0_10588,plain,
( not(xor(carry,or(carry,t4))) != xor(carry,xor(carry,t6))
| xor(carry,xor(carry,t6)) != t6
| not(xor(carry,or(carry,t4))) = t6 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(carry,or(carry,t4))))),bind(Y0,$fot(xor(carry,xor(carry,t6)))),bind(Z0,$fot(t6))]]) ).
cnf(refute_0_10589,plain,
( xor(carry,xor(carry,t6)) != t6
| not(xor(carry,or(carry,t4))) = t6 ),
inference(resolve,[$cnf( $equal(not(xor(carry,or(carry,t4))),xor(carry,xor(carry,t6))) )],[refute_0_10587,refute_0_10588]) ).
cnf(refute_0_10590,plain,
not(xor(carry,or(carry,t4))) = t6,
inference(resolve,[$cnf( $equal(xor(carry,xor(carry,t6)),t6) )],[refute_0_10586,refute_0_10589]) ).
cnf(refute_0_10591,plain,
( not(xor(carry,or(carry,t4))) != t6
| or(carry,xor(carry,t6)) != not(xor(carry,or(carry,t4)))
| or(carry,xor(carry,t6)) = t6 ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,xor(carry,t6)),not(xor(carry,or(carry,t4)))) ),[1],$fot(t6)]]) ).
cnf(refute_0_10592,plain,
( or(carry,xor(carry,t6)) != not(xor(carry,or(carry,t4)))
| or(carry,xor(carry,t6)) = t6 ),
inference(resolve,[$cnf( $equal(not(xor(carry,or(carry,t4))),t6) )],[refute_0_10590,refute_0_10591]) ).
cnf(refute_0_10593,plain,
or(carry,xor(carry,t6)) = t6,
inference(resolve,[$cnf( $equal(or(carry,xor(carry,t6)),not(xor(carry,or(carry,t4)))) )],[refute_0_10585,refute_0_10592]) ).
cnf(refute_0_10594,plain,
not(or(carry,xor(carry,t6))) = not(or(carry,xor(carry,t6))),
introduced(tautology,[refl,[$fot(not(or(carry,xor(carry,t6))))]]) ).
cnf(refute_0_10595,plain,
( not(or(carry,xor(carry,t6))) != not(or(carry,xor(carry,t6)))
| or(carry,xor(carry,t6)) != t6
| not(or(carry,xor(carry,t6))) = not(t6) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,xor(carry,t6))),not(or(carry,xor(carry,t6)))) ),[1,0],$fot(t6)]]) ).
cnf(refute_0_10596,plain,
( or(carry,xor(carry,t6)) != t6
| not(or(carry,xor(carry,t6))) = not(t6) ),
inference(resolve,[$cnf( $equal(not(or(carry,xor(carry,t6))),not(or(carry,xor(carry,t6)))) )],[refute_0_10594,refute_0_10595]) ).
cnf(refute_0_10597,plain,
not(or(carry,xor(carry,t6))) = not(t6),
inference(resolve,[$cnf( $equal(or(carry,xor(carry,t6)),t6) )],[refute_0_10593,refute_0_10596]) ).
cnf(refute_0_10598,plain,
( not(or(carry,xor(carry,t6))) != not(t6)
| not(or(carry,xor(carry,t6))) != xor(carry,or(carry,t4))
| not(t6) = xor(carry,or(carry,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,xor(carry,t6))),xor(carry,or(carry,t4))) ),[0],$fot(not(t6))]]) ).
cnf(refute_0_10599,plain,
( not(or(carry,xor(carry,t6))) != xor(carry,or(carry,t4))
| not(t6) = xor(carry,or(carry,t4)) ),
inference(resolve,[$cnf( $equal(not(or(carry,xor(carry,t6))),not(t6)) )],[refute_0_10597,refute_0_10598]) ).
cnf(refute_0_10600,plain,
not(t6) = xor(carry,or(carry,t4)),
inference(resolve,[$cnf( $equal(not(or(carry,xor(carry,t6))),xor(carry,or(carry,t4))) )],[refute_0_10550,refute_0_10599]) ).
cnf(refute_0_10601,plain,
( not(t6) != xor(carry,or(carry,t4))
| xor(carry,or(carry,t4)) = not(t6) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t6))),bind(Y0,$fot(xor(carry,or(carry,t4))))]]) ).
cnf(refute_0_10602,plain,
xor(carry,or(carry,t4)) = not(t6),
inference(resolve,[$cnf( $equal(not(t6),xor(carry,or(carry,t4))) )],[refute_0_10600,refute_0_10601]) ).
cnf(refute_0_10603,plain,
( xor(carry,or(carry,t4)) != and(t1,xor(carry,or(carry,t4)))
| xor(carry,or(carry,t4)) != not(t6)
| not(t6) = and(t1,xor(carry,or(carry,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,or(carry,t4)),and(t1,xor(carry,or(carry,t4)))) ),[0],$fot(not(t6))]]) ).
cnf(refute_0_10604,plain,
( xor(carry,or(carry,t4)) != and(t1,xor(carry,or(carry,t4)))
| not(t6) = and(t1,xor(carry,or(carry,t4))) ),
inference(resolve,[$cnf( $equal(xor(carry,or(carry,t4)),not(t6)) )],[refute_0_10602,refute_0_10603]) ).
cnf(refute_0_10605,plain,
and(t1,xor(carry,or(carry,t4))) = and(t1,xor(carry,or(carry,t4))),
introduced(tautology,[refl,[$fot(and(t1,xor(carry,or(carry,t4))))]]) ).
cnf(refute_0_10606,plain,
( and(t1,xor(carry,or(carry,t4))) != and(t1,xor(carry,or(carry,t4)))
| xor(carry,or(carry,t4)) != not(t6)
| and(t1,xor(carry,or(carry,t4))) = and(t1,not(t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,xor(carry,or(carry,t4))),and(t1,xor(carry,or(carry,t4)))) ),[1,1],$fot(not(t6))]]) ).
cnf(refute_0_10607,plain,
( xor(carry,or(carry,t4)) != not(t6)
| and(t1,xor(carry,or(carry,t4))) = and(t1,not(t6)) ),
inference(resolve,[$cnf( $equal(and(t1,xor(carry,or(carry,t4))),and(t1,xor(carry,or(carry,t4)))) )],[refute_0_10605,refute_0_10606]) ).
cnf(refute_0_10608,plain,
and(t1,xor(carry,or(carry,t4))) = and(t1,not(t6)),
inference(resolve,[$cnf( $equal(xor(carry,or(carry,t4)),not(t6)) )],[refute_0_10602,refute_0_10607]) ).
cnf(refute_0_10609,plain,
( and(t1,not(t6)) != not(or(carry,t6))
| and(t1,xor(carry,or(carry,t4))) != and(t1,not(t6))
| and(t1,xor(carry,or(carry,t4))) = not(or(carry,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t1,xor(carry,or(carry,t4))))),bind(Y0,$fot(and(t1,not(t6)))),bind(Z0,$fot(not(or(carry,t6))))]]) ).
cnf(refute_0_10610,plain,
( and(t1,not(t6)) != not(or(carry,t6))
| and(t1,xor(carry,or(carry,t4))) = not(or(carry,t6)) ),
inference(resolve,[$cnf( $equal(and(t1,xor(carry,or(carry,t4))),and(t1,not(t6))) )],[refute_0_10608,refute_0_10609]) ).
cnf(refute_0_10611,plain,
and(t1,xor(carry,or(carry,t4))) = not(or(carry,t6)),
inference(resolve,[$cnf( $equal(and(t1,not(t6)),not(or(carry,t6))) )],[refute_0_10451,refute_0_10610]) ).
cnf(refute_0_10612,plain,
( and(t1,xor(carry,or(carry,t4))) != not(or(carry,t6))
| not(t6) != and(t1,xor(carry,or(carry,t4)))
| not(t6) = not(or(carry,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(t6),and(t1,xor(carry,or(carry,t4)))) ),[1],$fot(not(or(carry,t6)))]]) ).
cnf(refute_0_10613,plain,
( not(t6) != and(t1,xor(carry,or(carry,t4)))
| not(t6) = not(or(carry,t6)) ),
inference(resolve,[$cnf( $equal(and(t1,xor(carry,or(carry,t4))),not(or(carry,t6))) )],[refute_0_10611,refute_0_10612]) ).
cnf(refute_0_10614,plain,
( xor(carry,or(carry,t4)) != and(t1,xor(carry,or(carry,t4)))
| not(t6) = not(or(carry,t6)) ),
inference(resolve,[$cnf( $equal(not(t6),and(t1,xor(carry,or(carry,t4)))) )],[refute_0_10604,refute_0_10613]) ).
cnf(refute_0_10615,plain,
not(t6) = not(or(carry,t6)),
inference(resolve,[$cnf( $equal(xor(carry,or(carry,t4)),and(t1,xor(carry,or(carry,t4)))) )],[refute_0_10523,refute_0_10614]) ).
cnf(refute_0_10616,plain,
( not(t6) != not(or(carry,t6))
| not(or(carry,t6)) = not(t6) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t6))),bind(Y0,$fot(not(or(carry,t6))))]]) ).
cnf(refute_0_10617,plain,
not(or(carry,t6)) = not(t6),
inference(resolve,[$cnf( $equal(not(t6),not(or(carry,t6))) )],[refute_0_10615,refute_0_10616]) ).
cnf(refute_0_10618,plain,
or(t1,not(or(carry,t6))) = or(t1,not(or(carry,t6))),
introduced(tautology,[refl,[$fot(or(t1,not(or(carry,t6))))]]) ).
cnf(refute_0_10619,plain,
( not(or(carry,t6)) != not(t6)
| or(t1,not(or(carry,t6))) != or(t1,not(or(carry,t6)))
| or(t1,not(or(carry,t6))) = or(t1,not(t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,not(or(carry,t6))),or(t1,not(or(carry,t6)))) ),[1,1],$fot(not(t6))]]) ).
cnf(refute_0_10620,plain,
( not(or(carry,t6)) != not(t6)
| or(t1,not(or(carry,t6))) = or(t1,not(t6)) ),
inference(resolve,[$cnf( $equal(or(t1,not(or(carry,t6))),or(t1,not(or(carry,t6)))) )],[refute_0_10618,refute_0_10619]) ).
cnf(refute_0_10621,plain,
or(t1,not(or(carry,t6))) = or(t1,not(t6)),
inference(resolve,[$cnf( $equal(not(or(carry,t6)),not(t6)) )],[refute_0_10617,refute_0_10620]) ).
cnf(refute_0_10622,plain,
( or(t1,not(or(carry,t6))) != or(t1,not(t6))
| or(t1,not(or(carry,t6))) != t1
| or(t1,not(t6)) = t1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,not(or(carry,t6))),t1) ),[0],$fot(or(t1,not(t6)))]]) ).
cnf(refute_0_10623,plain,
( or(t1,not(or(carry,t6))) != t1
| or(t1,not(t6)) = t1 ),
inference(resolve,[$cnf( $equal(or(t1,not(or(carry,t6))),or(t1,not(t6))) )],[refute_0_10621,refute_0_10622]) ).
cnf(refute_0_10624,plain,
or(t1,not(t6)) = t1,
inference(resolve,[$cnf( $equal(or(t1,not(or(carry,t6))),t1) )],[refute_0_10466,refute_0_10623]) ).
cnf(refute_0_10625,plain,
and(or(carry,t6),or(t1,not(t6))) = and(or(carry,t6),or(t1,not(t6))),
introduced(tautology,[refl,[$fot(and(or(carry,t6),or(t1,not(t6))))]]) ).
cnf(refute_0_10626,plain,
( and(or(carry,t6),or(t1,not(t6))) != and(or(carry,t6),or(t1,not(t6)))
| or(t1,not(t6)) != t1
| and(or(carry,t6),or(t1,not(t6))) = and(or(carry,t6),t1) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(carry,t6),or(t1,not(t6))),and(or(carry,t6),or(t1,not(t6)))) ),[1,1],$fot(t1)]]) ).
cnf(refute_0_10627,plain,
( or(t1,not(t6)) != t1
| and(or(carry,t6),or(t1,not(t6))) = and(or(carry,t6),t1) ),
inference(resolve,[$cnf( $equal(and(or(carry,t6),or(t1,not(t6))),and(or(carry,t6),or(t1,not(t6)))) )],[refute_0_10625,refute_0_10626]) ).
cnf(refute_0_10628,plain,
and(or(carry,t6),or(t1,not(t6))) = and(or(carry,t6),t1),
inference(resolve,[$cnf( $equal(or(t1,not(t6)),t1) )],[refute_0_10624,refute_0_10627]) ).
cnf(refute_0_10629,plain,
( and(or(carry,t6),or(t1,not(t6))) != and(or(carry,t6),t1)
| and(or(carry,t6),t1) != and(t1,or(carry,t6))
| and(or(carry,t6),or(t1,not(t6))) = and(t1,or(carry,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(or(carry,t6),or(t1,not(t6))))),bind(Y0,$fot(and(or(carry,t6),t1))),bind(Z0,$fot(and(t1,or(carry,t6))))]]) ).
cnf(refute_0_10630,plain,
( and(or(carry,t6),t1) != and(t1,or(carry,t6))
| and(or(carry,t6),or(t1,not(t6))) = and(t1,or(carry,t6)) ),
inference(resolve,[$cnf( $equal(and(or(carry,t6),or(t1,not(t6))),and(or(carry,t6),t1)) )],[refute_0_10628,refute_0_10629]) ).
cnf(refute_0_10631,plain,
and(or(carry,t6),or(t1,not(t6))) = and(t1,or(carry,t6)),
inference(resolve,[$cnf( $equal(and(or(carry,t6),t1),and(t1,or(carry,t6))) )],[refute_0_10462,refute_0_10630]) ).
cnf(refute_0_10632,plain,
( and(or(carry,t6),or(t1,not(t6))) != and(t1,or(carry,t6))
| not(xor(t1,t6)) != and(or(carry,t6),or(t1,not(t6)))
| not(xor(t1,t6)) = and(t1,or(carry,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t1,t6)),and(or(carry,t6),or(t1,not(t6)))) ),[1],$fot(and(t1,or(carry,t6)))]]) ).
cnf(refute_0_10633,plain,
( not(xor(t1,t6)) != and(or(carry,t6),or(t1,not(t6)))
| not(xor(t1,t6)) = and(t1,or(carry,t6)) ),
inference(resolve,[$cnf( $equal(and(or(carry,t6),or(t1,not(t6))),and(t1,or(carry,t6))) )],[refute_0_10631,refute_0_10632]) ).
cnf(refute_0_10634,plain,
not(xor(t1,t6)) = and(t1,or(carry,t6)),
inference(resolve,[$cnf( $equal(not(xor(t1,t6)),and(or(carry,t6),or(t1,not(t6)))) )],[refute_0_10461,refute_0_10633]) ).
cnf(refute_0_10635,plain,
not(and(not(t6),t1)) = not(and(t1,not(t6))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(t1)),bind(X_32,$fot(not(t6)))]]) ).
cnf(refute_0_10636,plain,
( not(or(carry,t6)) != and(t1,not(t6))
| not(or(carry,t6)) != not(t6)
| not(t6) = and(t1,not(t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,t6)),and(t1,not(t6))) ),[0],$fot(not(t6))]]) ).
cnf(refute_0_10637,plain,
( not(or(carry,t6)) != and(t1,not(t6))
| not(t6) = and(t1,not(t6)) ),
inference(resolve,[$cnf( $equal(not(or(carry,t6)),not(t6)) )],[refute_0_10617,refute_0_10636]) ).
cnf(refute_0_10638,plain,
not(t6) = and(t1,not(t6)),
inference(resolve,[$cnf( $equal(not(or(carry,t6)),and(t1,not(t6))) )],[refute_0_10449,refute_0_10637]) ).
cnf(refute_0_10639,plain,
( not(t6) != and(t1,not(t6))
| and(t1,not(t6)) = not(t6) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t6))),bind(Y0,$fot(and(t1,not(t6))))]]) ).
cnf(refute_0_10640,plain,
and(t1,not(t6)) = not(t6),
inference(resolve,[$cnf( $equal(not(t6),and(t1,not(t6))) )],[refute_0_10638,refute_0_10639]) ).
cnf(refute_0_10641,plain,
( and(t1,not(t6)) != not(t6)
| not(and(not(t6),t1)) != not(and(t1,not(t6)))
| not(and(not(t6),t1)) = not(not(t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t6),t1)),not(and(t1,not(t6)))) ),[1,0],$fot(not(t6))]]) ).
cnf(refute_0_10642,plain,
( not(and(not(t6),t1)) != not(and(t1,not(t6)))
| not(and(not(t6),t1)) = not(not(t6)) ),
inference(resolve,[$cnf( $equal(and(t1,not(t6)),not(t6)) )],[refute_0_10640,refute_0_10641]) ).
cnf(refute_0_10643,plain,
not(and(not(t6),t1)) = not(not(t6)),
inference(resolve,[$cnf( $equal(not(and(not(t6),t1)),not(and(t1,not(t6)))) )],[refute_0_10635,refute_0_10642]) ).
cnf(refute_0_10644,plain,
( and(t1,not(t6)) != not(or(carry,t6))
| not(and(not(t6),t1)) != not(and(t1,not(t6)))
| not(and(not(t6),t1)) = not(not(or(carry,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t6),t1)),not(and(t1,not(t6)))) ),[1,0],$fot(not(or(carry,t6)))]]) ).
cnf(refute_0_10645,plain,
( not(and(not(t6),t1)) != not(and(t1,not(t6)))
| not(and(not(t6),t1)) = not(not(or(carry,t6))) ),
inference(resolve,[$cnf( $equal(and(t1,not(t6)),not(or(carry,t6))) )],[refute_0_10451,refute_0_10644]) ).
cnf(refute_0_10646,plain,
not(and(not(t6),t1)) = not(not(or(carry,t6))),
inference(resolve,[$cnf( $equal(not(and(not(t6),t1)),not(and(t1,not(t6)))) )],[refute_0_10635,refute_0_10645]) ).
cnf(refute_0_10647,plain,
not(and(not(t6),t1)) = or(t6,not(t1)),
inference(subst,[],[refute_0_787:[bind(X,$fot(t6)),bind(X_32,$fot(t1))]]) ).
cnf(refute_0_10648,plain,
( not(and(not(t6),t1)) != not(not(or(carry,t6)))
| not(and(not(t6),t1)) != or(t6,not(t1))
| or(t6,not(t1)) = not(not(or(carry,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t6),t1)),not(not(or(carry,t6)))) ),[0],$fot(or(t6,not(t1)))]]) ).
cnf(refute_0_10649,plain,
( not(and(not(t6),t1)) != not(not(or(carry,t6)))
| or(t6,not(t1)) = not(not(or(carry,t6))) ),
inference(resolve,[$cnf( $equal(not(and(not(t6),t1)),or(t6,not(t1))) )],[refute_0_10647,refute_0_10648]) ).
cnf(refute_0_10650,plain,
not(not(or(carry,t6))) = or(carry,t6),
inference(subst,[],[not_involution:[bind(X,$fot(or(carry,t6)))]]) ).
cnf(refute_0_10651,plain,
( not(not(or(carry,t6))) != or(carry,t6)
| or(t6,not(t1)) != not(not(or(carry,t6)))
| or(t6,not(t1)) = or(carry,t6) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,not(t1)),not(not(or(carry,t6)))) ),[1],$fot(or(carry,t6))]]) ).
cnf(refute_0_10652,plain,
( or(t6,not(t1)) != not(not(or(carry,t6)))
| or(t6,not(t1)) = or(carry,t6) ),
inference(resolve,[$cnf( $equal(not(not(or(carry,t6))),or(carry,t6)) )],[refute_0_10650,refute_0_10651]) ).
cnf(refute_0_10653,plain,
( not(and(not(t6),t1)) != not(not(or(carry,t6)))
| or(t6,not(t1)) = or(carry,t6) ),
inference(resolve,[$cnf( $equal(or(t6,not(t1)),not(not(or(carry,t6)))) )],[refute_0_10649,refute_0_10652]) ).
cnf(refute_0_10654,plain,
or(t6,not(t1)) = or(carry,t6),
inference(resolve,[$cnf( $equal(not(and(not(t6),t1)),not(not(or(carry,t6)))) )],[refute_0_10646,refute_0_10653]) ).
cnf(refute_0_10655,plain,
( not(and(not(t6),t1)) != or(t6,not(t1))
| or(t6,not(t1)) != or(carry,t6)
| not(and(not(t6),t1)) = or(carry,t6) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(not(t6),t1)))),bind(Y0,$fot(or(t6,not(t1)))),bind(Z0,$fot(or(carry,t6)))]]) ).
cnf(refute_0_10656,plain,
( or(t6,not(t1)) != or(carry,t6)
| not(and(not(t6),t1)) = or(carry,t6) ),
inference(resolve,[$cnf( $equal(not(and(not(t6),t1)),or(t6,not(t1))) )],[refute_0_10647,refute_0_10655]) ).
cnf(refute_0_10657,plain,
not(and(not(t6),t1)) = or(carry,t6),
inference(resolve,[$cnf( $equal(or(t6,not(t1)),or(carry,t6)) )],[refute_0_10654,refute_0_10656]) ).
cnf(refute_0_10658,plain,
( not(and(not(t6),t1)) != not(not(t6))
| not(and(not(t6),t1)) != or(carry,t6)
| or(carry,t6) = not(not(t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t6),t1)),not(not(t6))) ),[0],$fot(or(carry,t6))]]) ).
cnf(refute_0_10659,plain,
( not(and(not(t6),t1)) != not(not(t6))
| or(carry,t6) = not(not(t6)) ),
inference(resolve,[$cnf( $equal(not(and(not(t6),t1)),or(carry,t6)) )],[refute_0_10657,refute_0_10658]) ).
cnf(refute_0_10660,plain,
not(not(t6)) = t6,
inference(subst,[],[not_involution:[bind(X,$fot(t6))]]) ).
cnf(refute_0_10661,plain,
( not(not(t6)) != t6
| or(carry,t6) != not(not(t6))
| or(carry,t6) = t6 ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,t6),not(not(t6))) ),[1],$fot(t6)]]) ).
cnf(refute_0_10662,plain,
( or(carry,t6) != not(not(t6))
| or(carry,t6) = t6 ),
inference(resolve,[$cnf( $equal(not(not(t6)),t6) )],[refute_0_10660,refute_0_10661]) ).
cnf(refute_0_10663,plain,
( not(and(not(t6),t1)) != not(not(t6))
| or(carry,t6) = t6 ),
inference(resolve,[$cnf( $equal(or(carry,t6),not(not(t6))) )],[refute_0_10659,refute_0_10662]) ).
cnf(refute_0_10664,plain,
or(carry,t6) = t6,
inference(resolve,[$cnf( $equal(not(and(not(t6),t1)),not(not(t6))) )],[refute_0_10643,refute_0_10663]) ).
cnf(refute_0_10665,plain,
and(t1,or(carry,t6)) = and(t1,or(carry,t6)),
introduced(tautology,[refl,[$fot(and(t1,or(carry,t6)))]]) ).
cnf(refute_0_10666,plain,
( and(t1,or(carry,t6)) != and(t1,or(carry,t6))
| or(carry,t6) != t6
| and(t1,or(carry,t6)) = and(t1,t6) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,or(carry,t6)),and(t1,or(carry,t6))) ),[1,1],$fot(t6)]]) ).
cnf(refute_0_10667,plain,
( or(carry,t6) != t6
| and(t1,or(carry,t6)) = and(t1,t6) ),
inference(resolve,[$cnf( $equal(and(t1,or(carry,t6)),and(t1,or(carry,t6))) )],[refute_0_10665,refute_0_10666]) ).
cnf(refute_0_10668,plain,
and(t1,or(carry,t6)) = and(t1,t6),
inference(resolve,[$cnf( $equal(or(carry,t6),t6) )],[refute_0_10664,refute_0_10667]) ).
cnf(refute_0_10669,plain,
( and(t1,or(carry,t6)) != and(t1,t6)
| not(xor(t1,t6)) != and(t1,or(carry,t6))
| not(xor(t1,t6)) = and(t1,t6) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t1,t6)),and(t1,or(carry,t6))) ),[1],$fot(and(t1,t6))]]) ).
cnf(refute_0_10670,plain,
( not(xor(t1,t6)) != and(t1,or(carry,t6))
| not(xor(t1,t6)) = and(t1,t6) ),
inference(resolve,[$cnf( $equal(and(t1,or(carry,t6)),and(t1,t6)) )],[refute_0_10668,refute_0_10669]) ).
cnf(refute_0_10671,plain,
not(xor(t1,t6)) = and(t1,t6),
inference(resolve,[$cnf( $equal(not(xor(t1,t6)),and(t1,or(carry,t6))) )],[refute_0_10634,refute_0_10670]) ).
cnf(refute_0_10672,plain,
xor(t4,xor(t1,t5)) = xor(t6,t1),
inference(subst,[],[refute_0_2517:[bind(X_338,$fot(t1))]]) ).
cnf(refute_0_10673,plain,
( xor(t1,t5) != carry
| xor(t4,xor(t1,t5)) != xor(t6,t1)
| xor(t4,carry) = xor(t6,t1) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,xor(t1,t5)),xor(t6,t1)) ),[0,1],$fot(carry)]]) ).
cnf(refute_0_10674,plain,
( xor(t4,xor(t1,t5)) != xor(t6,t1)
| xor(t4,carry) = xor(t6,t1) ),
inference(resolve,[$cnf( $equal(xor(t1,t5),carry) )],[refute_0_1346,refute_0_10673]) ).
cnf(refute_0_10675,plain,
xor(t4,carry) = xor(t6,t1),
inference(resolve,[$cnf( $equal(xor(t4,xor(t1,t5)),xor(t6,t1)) )],[refute_0_10672,refute_0_10674]) ).
cnf(refute_0_10676,plain,
xor(t4,carry) = xor(carry,t4),
inference(subst,[],[refute_0_1913:[bind(X,$fot(carry)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_10677,plain,
( xor(t4,carry) != xor(carry,t4)
| xor(t4,carry) != xor(t6,t1)
| xor(carry,t4) = xor(t6,t1) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,carry),xor(t6,t1)) ),[0],$fot(xor(carry,t4))]]) ).
cnf(refute_0_10678,plain,
( xor(t4,carry) != xor(t6,t1)
| xor(carry,t4) = xor(t6,t1) ),
inference(resolve,[$cnf( $equal(xor(t4,carry),xor(carry,t4)) )],[refute_0_10676,refute_0_10677]) ).
cnf(refute_0_10679,plain,
xor(t6,t1) = xor(t1,t6),
inference(subst,[],[refute_0_1486:[bind(X_333,$fot(t1))]]) ).
cnf(refute_0_10680,plain,
( xor(carry,t4) != xor(t6,t1)
| xor(t6,t1) != xor(t1,t6)
| xor(carry,t4) = xor(t1,t6) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(carry,t4),xor(t1,t6)) ),[0],$fot(xor(t6,t1))]]) ).
cnf(refute_0_10681,plain,
( xor(carry,t4) != xor(t6,t1)
| xor(carry,t4) = xor(t1,t6) ),
inference(resolve,[$cnf( $equal(xor(t6,t1),xor(t1,t6)) )],[refute_0_10679,refute_0_10680]) ).
cnf(refute_0_10682,plain,
( xor(t4,carry) != xor(t6,t1)
| xor(carry,t4) = xor(t1,t6) ),
inference(resolve,[$cnf( $equal(xor(carry,t4),xor(t6,t1)) )],[refute_0_10678,refute_0_10681]) ).
cnf(refute_0_10683,plain,
xor(carry,t4) = xor(t1,t6),
inference(resolve,[$cnf( $equal(xor(t4,carry),xor(t6,t1)) )],[refute_0_10675,refute_0_10682]) ).
cnf(refute_0_10684,plain,
( xor(carry,t4) != xor(t1,t6)
| xor(t1,t6) = xor(carry,t4) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(carry,t4))),bind(Y0,$fot(xor(t1,t6)))]]) ).
cnf(refute_0_10685,plain,
xor(t1,t6) = xor(carry,t4),
inference(resolve,[$cnf( $equal(xor(carry,t4),xor(t1,t6)) )],[refute_0_10683,refute_0_10684]) ).
cnf(refute_0_10686,plain,
not(xor(t1,t6)) = not(xor(t1,t6)),
introduced(tautology,[refl,[$fot(not(xor(t1,t6)))]]) ).
cnf(refute_0_10687,plain,
( not(xor(t1,t6)) != not(xor(t1,t6))
| xor(t1,t6) != xor(carry,t4)
| not(xor(t1,t6)) = not(xor(carry,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t1,t6)),not(xor(t1,t6))) ),[1,0],$fot(xor(carry,t4))]]) ).
cnf(refute_0_10688,plain,
( xor(t1,t6) != xor(carry,t4)
| not(xor(t1,t6)) = not(xor(carry,t4)) ),
inference(resolve,[$cnf( $equal(not(xor(t1,t6)),not(xor(t1,t6))) )],[refute_0_10686,refute_0_10687]) ).
cnf(refute_0_10689,plain,
not(xor(t1,t6)) = not(xor(carry,t4)),
inference(resolve,[$cnf( $equal(xor(t1,t6),xor(carry,t4)) )],[refute_0_10685,refute_0_10688]) ).
cnf(refute_0_10690,plain,
( not(xor(t1,t6)) != and(t1,t6)
| not(xor(t1,t6)) != not(xor(carry,t4))
| not(xor(carry,t4)) = and(t1,t6) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t1,t6)),and(t1,t6)) ),[0],$fot(not(xor(carry,t4)))]]) ).
cnf(refute_0_10691,plain,
( not(xor(t1,t6)) != and(t1,t6)
| not(xor(carry,t4)) = and(t1,t6) ),
inference(resolve,[$cnf( $equal(not(xor(t1,t6)),not(xor(carry,t4))) )],[refute_0_10689,refute_0_10690]) ).
cnf(refute_0_10692,plain,
not(xor(carry,t4)) = and(t1,t6),
inference(resolve,[$cnf( $equal(not(xor(t1,t6)),and(t1,t6)) )],[refute_0_10671,refute_0_10691]) ).
cnf(refute_0_10693,plain,
( not(xor(carry,t4)) != and(t1,t6)
| xor(t5,or(a,t4)) != not(xor(carry,t4))
| xor(t5,or(a,t4)) = and(t1,t6) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t5,or(a,t4)),not(xor(carry,t4))) ),[1],$fot(and(t1,t6))]]) ).
cnf(refute_0_10694,plain,
( xor(t5,or(a,t4)) != not(xor(carry,t4))
| xor(t5,or(a,t4)) = and(t1,t6) ),
inference(resolve,[$cnf( $equal(not(xor(carry,t4)),and(t1,t6)) )],[refute_0_10692,refute_0_10693]) ).
cnf(refute_0_10695,plain,
xor(t5,or(a,t4)) = and(t1,t6),
inference(resolve,[$cnf( $equal(xor(t5,or(a,t4)),not(xor(carry,t4))) )],[refute_0_4682,refute_0_10694]) ).
cnf(refute_0_10696,plain,
( xor(carry,xor(t5,or(a,t4))) != xor(t1,or(a,t4))
| xor(t5,or(a,t4)) != and(t1,t6)
| xor(carry,and(t1,t6)) = xor(t1,or(a,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(t5,or(a,t4))),xor(t1,or(a,t4))) ),[0,1],$fot(and(t1,t6))]]) ).
cnf(refute_0_10697,plain,
( xor(carry,xor(t5,or(a,t4))) != xor(t1,or(a,t4))
| xor(carry,and(t1,t6)) = xor(t1,or(a,t4)) ),
inference(resolve,[$cnf( $equal(xor(t5,or(a,t4)),and(t1,t6)) )],[refute_0_10695,refute_0_10696]) ).
cnf(refute_0_10698,plain,
xor(carry,and(t1,t6)) = xor(t1,or(a,t4)),
inference(resolve,[$cnf( $equal(xor(carry,xor(t5,or(a,t4))),xor(t1,or(a,t4))) )],[refute_0_10439,refute_0_10697]) ).
cnf(refute_0_10699,plain,
xor(t1,or(a,t4)) = xor(t1,or(a,t4)),
introduced(tautology,[refl,[$fot(xor(t1,or(a,t4)))]]) ).
cnf(refute_0_10700,plain,
( or(a,t4) != or(a,b)
| xor(t1,or(a,t4)) != xor(t1,or(a,t4))
| xor(t1,or(a,t4)) = xor(t1,or(a,b)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,or(a,t4)),xor(t1,or(a,t4))) ),[1,1],$fot(or(a,b))]]) ).
cnf(refute_0_10701,plain,
( or(a,t4) != or(a,b)
| xor(t1,or(a,t4)) = xor(t1,or(a,b)) ),
inference(resolve,[$cnf( $equal(xor(t1,or(a,t4)),xor(t1,or(a,t4))) )],[refute_0_10699,refute_0_10700]) ).
cnf(refute_0_10702,plain,
xor(t1,or(a,t4)) = xor(t1,or(a,b)),
inference(resolve,[$cnf( $equal(or(a,t4),or(a,b)) )],[refute_0_3071,refute_0_10701]) ).
cnf(refute_0_10703,plain,
( xor(carry,and(t1,t6)) != xor(t1,or(a,t4))
| xor(t1,or(a,t4)) != xor(t1,or(a,b))
| xor(carry,and(t1,t6)) = xor(t1,or(a,b)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(carry,and(t1,t6)),xor(t1,or(a,b))) ),[0],$fot(xor(t1,or(a,t4)))]]) ).
cnf(refute_0_10704,plain,
( xor(carry,and(t1,t6)) != xor(t1,or(a,t4))
| xor(carry,and(t1,t6)) = xor(t1,or(a,b)) ),
inference(resolve,[$cnf( $equal(xor(t1,or(a,t4)),xor(t1,or(a,b))) )],[refute_0_10702,refute_0_10703]) ).
cnf(refute_0_10705,plain,
xor(carry,and(t1,t6)) = xor(t1,or(a,b)),
inference(resolve,[$cnf( $equal(xor(carry,and(t1,t6)),xor(t1,or(a,t4))) )],[refute_0_10698,refute_0_10704]) ).
cnf(refute_0_10706,plain,
( xor(carry,and(t1,t6)) != xor(t1,or(a,b))
| xor(t1,or(a,b)) = xor(carry,and(t1,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(carry,and(t1,t6)))),bind(Y0,$fot(xor(t1,or(a,b))))]]) ).
cnf(refute_0_10707,plain,
xor(t1,or(a,b)) = xor(carry,and(t1,t6)),
inference(resolve,[$cnf( $equal(xor(carry,and(t1,t6)),xor(t1,or(a,b))) )],[refute_0_10705,refute_0_10706]) ).
cnf(refute_0_10708,plain,
or(and(t1,not(or(a,X_425))),and(not(t1),or(a,X_425))) = xor(t1,or(a,X_425)),
inference(subst,[],[refute_0_9:[bind(X,$fot(t1)),bind(Y,$fot(or(a,X_425)))]]) ).
cnf(refute_0_10709,plain,
and(not(a),not(Y)) = and(t1,and(not(a),not(Y))),
inference(subst,[],[refute_0_2887:[bind(X_222,$fot(not(Y)))]]) ).
cnf(refute_0_10710,plain,
not(or(a,Y)) = and(not(a),not(Y)),
inference(subst,[],[or_demorgan:[bind(X,$fot(a))]]) ).
cnf(refute_0_10711,plain,
( not(or(a,Y)) != and(not(a),not(Y))
| and(not(a),not(Y)) = not(or(a,Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(a,Y)))),bind(Y0,$fot(and(not(a),not(Y))))]]) ).
cnf(refute_0_10712,plain,
and(not(a),not(Y)) = not(or(a,Y)),
inference(resolve,[$cnf( $equal(not(or(a,Y)),and(not(a),not(Y))) )],[refute_0_10710,refute_0_10711]) ).
cnf(refute_0_10713,plain,
( and(not(a),not(Y)) != and(t1,and(not(a),not(Y)))
| and(not(a),not(Y)) != not(or(a,Y))
| and(not(a),not(Y)) = and(t1,not(or(a,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(a),not(Y)),and(t1,and(not(a),not(Y)))) ),[1,1],$fot(not(or(a,Y)))]]) ).
cnf(refute_0_10714,plain,
( and(not(a),not(Y)) != and(t1,and(not(a),not(Y)))
| and(not(a),not(Y)) = and(t1,not(or(a,Y))) ),
inference(resolve,[$cnf( $equal(and(not(a),not(Y)),not(or(a,Y))) )],[refute_0_10712,refute_0_10713]) ).
cnf(refute_0_10715,plain,
and(not(a),not(Y)) = and(t1,not(or(a,Y))),
inference(resolve,[$cnf( $equal(and(not(a),not(Y)),and(t1,and(not(a),not(Y)))) )],[refute_0_10709,refute_0_10714]) ).
cnf(refute_0_10716,plain,
( and(not(a),not(Y)) != and(t1,not(or(a,Y)))
| and(not(a),not(Y)) != not(or(a,Y))
| not(or(a,Y)) = and(t1,not(or(a,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(a),not(Y)),and(t1,not(or(a,Y)))) ),[0],$fot(not(or(a,Y)))]]) ).
cnf(refute_0_10717,plain,
( and(not(a),not(Y)) != and(t1,not(or(a,Y)))
| not(or(a,Y)) = and(t1,not(or(a,Y))) ),
inference(resolve,[$cnf( $equal(and(not(a),not(Y)),not(or(a,Y))) )],[refute_0_10712,refute_0_10716]) ).
cnf(refute_0_10718,plain,
not(or(a,Y)) = and(t1,not(or(a,Y))),
inference(resolve,[$cnf( $equal(and(not(a),not(Y)),and(t1,not(or(a,Y)))) )],[refute_0_10715,refute_0_10717]) ).
cnf(refute_0_10719,plain,
not(or(a,X_425)) = and(t1,not(or(a,X_425))),
inference(subst,[],[refute_0_10718:[bind(Y,$fot(X_425))]]) ).
cnf(refute_0_10720,plain,
( not(or(a,X_425)) != and(t1,not(or(a,X_425)))
| and(t1,not(or(a,X_425))) = not(or(a,X_425)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(a,X_425)))),bind(Y0,$fot(and(t1,not(or(a,X_425)))))]]) ).
cnf(refute_0_10721,plain,
and(t1,not(or(a,X_425))) = not(or(a,X_425)),
inference(resolve,[$cnf( $equal(not(or(a,X_425)),and(t1,not(or(a,X_425)))) )],[refute_0_10719,refute_0_10720]) ).
cnf(refute_0_10722,plain,
( and(t1,not(or(a,X_425))) != not(or(a,X_425))
| or(and(t1,not(or(a,X_425))),and(not(t1),or(a,X_425))) != xor(t1,or(a,X_425))
| or(not(or(a,X_425)),and(not(t1),or(a,X_425))) = xor(t1,or(a,X_425)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t1,not(or(a,X_425))),and(not(t1),or(a,X_425))),xor(t1,or(a,X_425))) ),[0,0],$fot(not(or(a,X_425)))]]) ).
cnf(refute_0_10723,plain,
( or(and(t1,not(or(a,X_425))),and(not(t1),or(a,X_425))) != xor(t1,or(a,X_425))
| or(not(or(a,X_425)),and(not(t1),or(a,X_425))) = xor(t1,or(a,X_425)) ),
inference(resolve,[$cnf( $equal(and(t1,not(or(a,X_425))),not(or(a,X_425))) )],[refute_0_10721,refute_0_10722]) ).
cnf(refute_0_10724,plain,
or(not(or(a,X_425)),and(not(t1),or(a,X_425))) = xor(t1,or(a,X_425)),
inference(resolve,[$cnf( $equal(or(and(t1,not(or(a,X_425))),and(not(t1),or(a,X_425))),xor(t1,or(a,X_425))) )],[refute_0_10708,refute_0_10723]) ).
cnf(refute_0_10725,plain,
and(or(a,X_425),t1) = and(t1,or(a,X_425)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t1)),bind(Y,$fot(or(a,X_425)))]]) ).
cnf(refute_0_10726,plain,
or(t1,and(t1,not(or(a,X_425)))) = t1,
inference(subst,[],[or_absorption:[bind(X,$fot(t1)),bind(Y,$fot(not(or(a,X_425))))]]) ).
cnf(refute_0_10727,plain,
( and(t1,not(or(a,X_425))) != not(or(a,X_425))
| or(t1,and(t1,not(or(a,X_425)))) != t1
| or(t1,not(or(a,X_425))) = t1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,and(t1,not(or(a,X_425)))),t1) ),[0,1],$fot(not(or(a,X_425)))]]) ).
cnf(refute_0_10728,plain,
( or(t1,and(t1,not(or(a,X_425)))) != t1
| or(t1,not(or(a,X_425))) = t1 ),
inference(resolve,[$cnf( $equal(and(t1,not(or(a,X_425))),not(or(a,X_425))) )],[refute_0_10721,refute_0_10727]) ).
cnf(refute_0_10729,plain,
or(t1,not(or(a,X_425))) = t1,
inference(resolve,[$cnf( $equal(or(t1,and(t1,not(or(a,X_425)))),t1) )],[refute_0_10726,refute_0_10728]) ).
cnf(refute_0_10730,plain,
and(or(a,X_425),or(t1,not(or(a,X_425)))) = and(or(a,X_425),or(t1,not(or(a,X_425)))),
introduced(tautology,[refl,[$fot(and(or(a,X_425),or(t1,not(or(a,X_425)))))]]) ).
cnf(refute_0_10731,plain,
( and(or(a,X_425),or(t1,not(or(a,X_425)))) != and(or(a,X_425),or(t1,not(or(a,X_425))))
| or(t1,not(or(a,X_425))) != t1
| and(or(a,X_425),or(t1,not(or(a,X_425)))) = and(or(a,X_425),t1) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(a,X_425),or(t1,not(or(a,X_425)))),and(or(a,X_425),or(t1,not(or(a,X_425))))) ),[1,1],$fot(t1)]]) ).
cnf(refute_0_10732,plain,
( or(t1,not(or(a,X_425))) != t1
| and(or(a,X_425),or(t1,not(or(a,X_425)))) = and(or(a,X_425),t1) ),
inference(resolve,[$cnf( $equal(and(or(a,X_425),or(t1,not(or(a,X_425)))),and(or(a,X_425),or(t1,not(or(a,X_425))))) )],[refute_0_10730,refute_0_10731]) ).
cnf(refute_0_10733,plain,
and(or(a,X_425),or(t1,not(or(a,X_425)))) = and(or(a,X_425),t1),
inference(resolve,[$cnf( $equal(or(t1,not(or(a,X_425))),t1) )],[refute_0_10729,refute_0_10732]) ).
cnf(refute_0_10734,plain,
( and(or(a,X_425),or(t1,not(or(a,X_425)))) != and(or(a,X_425),t1)
| and(or(a,X_425),t1) != and(t1,or(a,X_425))
| and(or(a,X_425),or(t1,not(or(a,X_425)))) = and(t1,or(a,X_425)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(or(a,X_425),or(t1,not(or(a,X_425)))))),bind(Y0,$fot(and(or(a,X_425),t1))),bind(Z0,$fot(and(t1,or(a,X_425))))]]) ).
cnf(refute_0_10735,plain,
( and(or(a,X_425),t1) != and(t1,or(a,X_425))
| and(or(a,X_425),or(t1,not(or(a,X_425)))) = and(t1,or(a,X_425)) ),
inference(resolve,[$cnf( $equal(and(or(a,X_425),or(t1,not(or(a,X_425)))),and(or(a,X_425),t1)) )],[refute_0_10733,refute_0_10734]) ).
cnf(refute_0_10736,plain,
and(or(a,X_425),or(t1,not(or(a,X_425)))) = and(t1,or(a,X_425)),
inference(resolve,[$cnf( $equal(and(or(a,X_425),t1),and(t1,or(a,X_425))) )],[refute_0_10725,refute_0_10735]) ).
cnf(refute_0_10737,plain,
not(and(or(a,X_425),or(t1,not(or(a,X_425))))) = not(and(or(a,X_425),or(t1,not(or(a,X_425))))),
introduced(tautology,[refl,[$fot(not(and(or(a,X_425),or(t1,not(or(a,X_425))))))]]) ).
cnf(refute_0_10738,plain,
( and(or(a,X_425),or(t1,not(or(a,X_425)))) != and(t1,or(a,X_425))
| not(and(or(a,X_425),or(t1,not(or(a,X_425))))) != not(and(or(a,X_425),or(t1,not(or(a,X_425)))))
| not(and(or(a,X_425),or(t1,not(or(a,X_425))))) = not(and(t1,or(a,X_425))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(a,X_425),or(t1,not(or(a,X_425))))),not(and(or(a,X_425),or(t1,not(or(a,X_425)))))) ),[1,0],$fot(and(t1,or(a,X_425)))]]) ).
cnf(refute_0_10739,plain,
( and(or(a,X_425),or(t1,not(or(a,X_425)))) != and(t1,or(a,X_425))
| not(and(or(a,X_425),or(t1,not(or(a,X_425))))) = not(and(t1,or(a,X_425))) ),
inference(resolve,[$cnf( $equal(not(and(or(a,X_425),or(t1,not(or(a,X_425))))),not(and(or(a,X_425),or(t1,not(or(a,X_425)))))) )],[refute_0_10737,refute_0_10738]) ).
cnf(refute_0_10740,plain,
not(and(or(a,X_425),or(t1,not(or(a,X_425))))) = not(and(t1,or(a,X_425))),
inference(resolve,[$cnf( $equal(and(or(a,X_425),or(t1,not(or(a,X_425)))),and(t1,or(a,X_425))) )],[refute_0_10736,refute_0_10739]) ).
cnf(refute_0_10741,plain,
or(not(or(a,X_425)),and(not(t1),or(a,X_425))) = not(and(or(a,X_425),or(t1,not(or(a,X_425))))),
inference(subst,[],[refute_0_1337:[bind(X,$fot(or(a,X_425))),bind(X_78,$fot(or(a,X_425))),bind(X_79,$fot(t1))]]) ).
cnf(refute_0_10742,plain,
( not(and(or(a,X_425),or(t1,not(or(a,X_425))))) != not(and(t1,or(a,X_425)))
| or(not(or(a,X_425)),and(not(t1),or(a,X_425))) != not(and(or(a,X_425),or(t1,not(or(a,X_425)))))
| or(not(or(a,X_425)),and(not(t1),or(a,X_425))) = not(and(t1,or(a,X_425))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(or(a,X_425)),and(not(t1),or(a,X_425))))),bind(Y0,$fot(not(and(or(a,X_425),or(t1,not(or(a,X_425))))))),bind(Z0,$fot(not(and(t1,or(a,X_425)))))]]) ).
cnf(refute_0_10743,plain,
( not(and(or(a,X_425),or(t1,not(or(a,X_425))))) != not(and(t1,or(a,X_425)))
| or(not(or(a,X_425)),and(not(t1),or(a,X_425))) = not(and(t1,or(a,X_425))) ),
inference(resolve,[$cnf( $equal(or(not(or(a,X_425)),and(not(t1),or(a,X_425))),not(and(or(a,X_425),or(t1,not(or(a,X_425)))))) )],[refute_0_10741,refute_0_10742]) ).
cnf(refute_0_10744,plain,
or(not(or(a,X_425)),and(not(t1),or(a,X_425))) = not(and(t1,or(a,X_425))),
inference(resolve,[$cnf( $equal(not(and(or(a,X_425),or(t1,not(or(a,X_425))))),not(and(t1,or(a,X_425)))) )],[refute_0_10740,refute_0_10743]) ).
cnf(refute_0_10745,plain,
( or(not(or(a,X_425)),and(not(t1),or(a,X_425))) != not(and(t1,or(a,X_425)))
| or(not(or(a,X_425)),and(not(t1),or(a,X_425))) != xor(t1,or(a,X_425))
| not(and(t1,or(a,X_425))) = xor(t1,or(a,X_425)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(or(a,X_425)),and(not(t1),or(a,X_425))),xor(t1,or(a,X_425))) ),[0],$fot(not(and(t1,or(a,X_425))))]]) ).
cnf(refute_0_10746,plain,
( or(not(or(a,X_425)),and(not(t1),or(a,X_425))) != xor(t1,or(a,X_425))
| not(and(t1,or(a,X_425))) = xor(t1,or(a,X_425)) ),
inference(resolve,[$cnf( $equal(or(not(or(a,X_425)),and(not(t1),or(a,X_425))),not(and(t1,or(a,X_425)))) )],[refute_0_10744,refute_0_10745]) ).
cnf(refute_0_10747,plain,
not(and(t1,or(a,X_425))) = xor(t1,or(a,X_425)),
inference(resolve,[$cnf( $equal(or(not(or(a,X_425)),and(not(t1),or(a,X_425))),xor(t1,or(a,X_425))) )],[refute_0_10724,refute_0_10746]) ).
cnf(refute_0_10748,plain,
not(and(t1,or(a,b))) = xor(t1,or(a,b)),
inference(subst,[],[refute_0_10747:[bind(X_425,$fot(b))]]) ).
cnf(refute_0_10749,plain,
( not(and(t1,or(a,b))) != xor(t1,or(a,b))
| xor(t1,or(a,b)) != xor(carry,and(t1,t6))
| not(and(t1,or(a,b))) = xor(carry,and(t1,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(t1,or(a,b))))),bind(Y0,$fot(xor(t1,or(a,b)))),bind(Z0,$fot(xor(carry,and(t1,t6))))]]) ).
cnf(refute_0_10750,plain,
( xor(t1,or(a,b)) != xor(carry,and(t1,t6))
| not(and(t1,or(a,b))) = xor(carry,and(t1,t6)) ),
inference(resolve,[$cnf( $equal(not(and(t1,or(a,b))),xor(t1,or(a,b))) )],[refute_0_10748,refute_0_10749]) ).
cnf(refute_0_10751,plain,
not(and(t1,or(a,b))) = xor(carry,and(t1,t6)),
inference(resolve,[$cnf( $equal(xor(t1,or(a,b)),xor(carry,and(t1,t6))) )],[refute_0_10707,refute_0_10750]) ).
cnf(refute_0_10752,plain,
not(and(X,or(a,t4))) = or(not(X),not(or(a,t4))),
inference(subst,[],[and_demorgan:[bind(Y,$fot(or(a,t4)))]]) ).
cnf(refute_0_10753,plain,
( not(and(X,or(a,t4))) != or(not(X),not(or(a,t4)))
| not(or(a,t4)) != xor(a,t3)
| not(and(X,or(a,t4))) = or(not(X),xor(a,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X,or(a,t4))),or(not(X),not(or(a,t4)))) ),[1,1],$fot(xor(a,t3))]]) ).
cnf(refute_0_10754,plain,
( not(and(X,or(a,t4))) != or(not(X),not(or(a,t4)))
| not(and(X,or(a,t4))) = or(not(X),xor(a,t3)) ),
inference(resolve,[$cnf( $equal(not(or(a,t4)),xor(a,t3)) )],[refute_0_2958,refute_0_10753]) ).
cnf(refute_0_10755,plain,
not(and(X,or(a,t4))) = or(not(X),xor(a,t3)),
inference(resolve,[$cnf( $equal(not(and(X,or(a,t4))),or(not(X),not(or(a,t4)))) )],[refute_0_10752,refute_0_10754]) ).
cnf(refute_0_10756,plain,
and(X,or(a,t4)) = and(X,or(a,t4)),
introduced(tautology,[refl,[$fot(and(X,or(a,t4)))]]) ).
cnf(refute_0_10757,plain,
( and(X,or(a,t4)) != and(X,or(a,t4))
| or(a,t4) != or(a,b)
| and(X,or(a,t4)) = and(X,or(a,b)) ),
introduced(tautology,[equality,[$cnf( $equal(and(X,or(a,t4)),and(X,or(a,t4))) ),[1,1],$fot(or(a,b))]]) ).
cnf(refute_0_10758,plain,
( or(a,t4) != or(a,b)
| and(X,or(a,t4)) = and(X,or(a,b)) ),
inference(resolve,[$cnf( $equal(and(X,or(a,t4)),and(X,or(a,t4))) )],[refute_0_10756,refute_0_10757]) ).
cnf(refute_0_10759,plain,
and(X,or(a,t4)) = and(X,or(a,b)),
inference(resolve,[$cnf( $equal(or(a,t4),or(a,b)) )],[refute_0_3071,refute_0_10758]) ).
cnf(refute_0_10760,plain,
not(and(X,or(a,t4))) = not(and(X,or(a,t4))),
introduced(tautology,[refl,[$fot(not(and(X,or(a,t4))))]]) ).
cnf(refute_0_10761,plain,
( and(X,or(a,t4)) != and(X,or(a,b))
| not(and(X,or(a,t4))) != not(and(X,or(a,t4)))
| not(and(X,or(a,t4))) = not(and(X,or(a,b))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X,or(a,t4))),not(and(X,or(a,t4)))) ),[1,0],$fot(and(X,or(a,b)))]]) ).
cnf(refute_0_10762,plain,
( and(X,or(a,t4)) != and(X,or(a,b))
| not(and(X,or(a,t4))) = not(and(X,or(a,b))) ),
inference(resolve,[$cnf( $equal(not(and(X,or(a,t4))),not(and(X,or(a,t4)))) )],[refute_0_10760,refute_0_10761]) ).
cnf(refute_0_10763,plain,
not(and(X,or(a,t4))) = not(and(X,or(a,b))),
inference(resolve,[$cnf( $equal(and(X,or(a,t4)),and(X,or(a,b))) )],[refute_0_10759,refute_0_10762]) ).
cnf(refute_0_10764,plain,
( not(and(X,or(a,t4))) != not(and(X,or(a,b)))
| not(and(X,or(a,t4))) != or(not(X),xor(a,t3))
| not(and(X,or(a,b))) = or(not(X),xor(a,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X,or(a,t4))),or(not(X),xor(a,t3))) ),[0],$fot(not(and(X,or(a,b))))]]) ).
cnf(refute_0_10765,plain,
( not(and(X,or(a,t4))) != or(not(X),xor(a,t3))
| not(and(X,or(a,b))) = or(not(X),xor(a,t3)) ),
inference(resolve,[$cnf( $equal(not(and(X,or(a,t4))),not(and(X,or(a,b)))) )],[refute_0_10763,refute_0_10764]) ).
cnf(refute_0_10766,plain,
not(and(X,or(a,b))) = or(not(X),xor(a,t3)),
inference(resolve,[$cnf( $equal(not(and(X,or(a,t4))),or(not(X),xor(a,t3))) )],[refute_0_10755,refute_0_10765]) ).
cnf(refute_0_10767,plain,
( not(and(X,or(a,b))) != or(not(X),xor(a,t3))
| or(not(X),xor(a,t3)) = not(and(X,or(a,b))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(X,or(a,b))))),bind(Y0,$fot(or(not(X),xor(a,t3))))]]) ).
cnf(refute_0_10768,plain,
or(not(X),xor(a,t3)) = not(and(X,or(a,b))),
inference(resolve,[$cnf( $equal(not(and(X,or(a,b))),or(not(X),xor(a,t3))) )],[refute_0_10766,refute_0_10767]) ).
cnf(refute_0_10769,plain,
or(not(t1),xor(a,t3)) = not(and(t1,or(a,b))),
inference(subst,[],[refute_0_10768:[bind(X,$fot(t1))]]) ).
cnf(refute_0_10770,plain,
( not(and(t1,or(a,b))) != xor(carry,and(t1,t6))
| or(not(t1),xor(a,t3)) != not(and(t1,or(a,b)))
| or(not(t1),xor(a,t3)) = xor(carry,and(t1,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t1),xor(a,t3)))),bind(Y0,$fot(not(and(t1,or(a,b))))),bind(Z0,$fot(xor(carry,and(t1,t6))))]]) ).
cnf(refute_0_10771,plain,
( not(and(t1,or(a,b))) != xor(carry,and(t1,t6))
| or(not(t1),xor(a,t3)) = xor(carry,and(t1,t6)) ),
inference(resolve,[$cnf( $equal(or(not(t1),xor(a,t3)),not(and(t1,or(a,b)))) )],[refute_0_10769,refute_0_10770]) ).
cnf(refute_0_10772,plain,
or(not(t1),xor(a,t3)) = xor(carry,and(t1,t6)),
inference(resolve,[$cnf( $equal(not(and(t1,or(a,b))),xor(carry,and(t1,t6))) )],[refute_0_10751,refute_0_10771]) ).
cnf(refute_0_10773,plain,
( or(carry,t6) != t6
| or(t6,not(t1)) != or(carry,t6)
| or(t6,not(t1)) = t6 ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,not(t1)),or(carry,t6)) ),[1],$fot(t6)]]) ).
cnf(refute_0_10774,plain,
( or(t6,not(t1)) != or(carry,t6)
| or(t6,not(t1)) = t6 ),
inference(resolve,[$cnf( $equal(or(carry,t6),t6) )],[refute_0_10664,refute_0_10773]) ).
cnf(refute_0_10775,plain,
or(t6,not(t1)) = t6,
inference(resolve,[$cnf( $equal(or(t6,not(t1)),or(carry,t6)) )],[refute_0_10654,refute_0_10774]) ).
cnf(refute_0_10776,plain,
or(t6,and(carry,t5)) = or(t6,and(carry,t5)),
introduced(tautology,[refl,[$fot(or(t6,and(carry,t5)))]]) ).
cnf(refute_0_10777,plain,
( and(carry,t5) != not(t1)
| or(t6,and(carry,t5)) != or(t6,and(carry,t5))
| or(t6,and(carry,t5)) = or(t6,not(t1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,and(carry,t5)),or(t6,and(carry,t5))) ),[1,1],$fot(not(t1))]]) ).
cnf(refute_0_10778,plain,
( and(carry,t5) != not(t1)
| or(t6,and(carry,t5)) = or(t6,not(t1)) ),
inference(resolve,[$cnf( $equal(or(t6,and(carry,t5)),or(t6,and(carry,t5))) )],[refute_0_10776,refute_0_10777]) ).
cnf(refute_0_10779,plain,
or(t6,and(carry,t5)) = or(t6,not(t1)),
inference(resolve,[$cnf( $equal(and(carry,t5),not(t1)) )],[refute_0_8966,refute_0_10778]) ).
cnf(refute_0_10780,plain,
( or(t6,and(carry,t5)) != or(t6,not(t1))
| or(t6,not(t1)) != t6
| or(t6,and(carry,t5)) = t6 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t6,and(carry,t5)))),bind(Y0,$fot(or(t6,not(t1)))),bind(Z0,$fot(t6))]]) ).
cnf(refute_0_10781,plain,
( or(t6,not(t1)) != t6
| or(t6,and(carry,t5)) = t6 ),
inference(resolve,[$cnf( $equal(or(t6,and(carry,t5)),or(t6,not(t1))) )],[refute_0_10779,refute_0_10780]) ).
cnf(refute_0_10782,plain,
or(t6,and(carry,t5)) = t6,
inference(resolve,[$cnf( $equal(or(t6,not(t1)),t6) )],[refute_0_10775,refute_0_10781]) ).
cnf(refute_0_10783,plain,
xor(carry,or(t6,and(carry,t5))) = xor(carry,or(t6,and(carry,t5))),
introduced(tautology,[refl,[$fot(xor(carry,or(t6,and(carry,t5))))]]) ).
cnf(refute_0_10784,plain,
( or(t6,and(carry,t5)) != t6
| xor(carry,or(t6,and(carry,t5))) != xor(carry,or(t6,and(carry,t5)))
| xor(carry,or(t6,and(carry,t5))) = xor(carry,t6) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,or(t6,and(carry,t5))),xor(carry,or(t6,and(carry,t5)))) ),[1,1],$fot(t6)]]) ).
cnf(refute_0_10785,plain,
( or(t6,and(carry,t5)) != t6
| xor(carry,or(t6,and(carry,t5))) = xor(carry,t6) ),
inference(resolve,[$cnf( $equal(xor(carry,or(t6,and(carry,t5))),xor(carry,or(t6,and(carry,t5)))) )],[refute_0_10783,refute_0_10784]) ).
cnf(refute_0_10786,plain,
xor(carry,or(t6,and(carry,t5))) = xor(carry,t6),
inference(resolve,[$cnf( $equal(or(t6,and(carry,t5)),t6) )],[refute_0_10782,refute_0_10785]) ).
cnf(refute_0_10787,plain,
( xor(carry,or(t6,and(carry,t5))) != xor(carry,t6)
| xor(carry,t6) != xor(a,t3)
| xor(carry,or(t6,and(carry,t5))) = xor(a,t3) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(carry,or(t6,and(carry,t5))))),bind(Y0,$fot(xor(carry,t6))),bind(Z0,$fot(xor(a,t3)))]]) ).
cnf(refute_0_10788,plain,
( xor(carry,t6) != xor(a,t3)
| xor(carry,or(t6,and(carry,t5))) = xor(a,t3) ),
inference(resolve,[$cnf( $equal(xor(carry,or(t6,and(carry,t5))),xor(carry,t6)) )],[refute_0_10786,refute_0_10787]) ).
cnf(refute_0_10789,plain,
xor(carry,or(t6,and(carry,t5))) = xor(a,t3),
inference(resolve,[$cnf( $equal(xor(carry,t6),xor(a,t3)) )],[refute_0_4601,refute_0_10788]) ).
cnf(refute_0_10790,plain,
or(not(t1),xor(carry,or(t6,and(carry,t5)))) = or(not(t1),xor(carry,or(t6,and(carry,t5)))),
introduced(tautology,[refl,[$fot(or(not(t1),xor(carry,or(t6,and(carry,t5)))))]]) ).
cnf(refute_0_10791,plain,
( or(not(t1),xor(carry,or(t6,and(carry,t5)))) != or(not(t1),xor(carry,or(t6,and(carry,t5))))
| xor(carry,or(t6,and(carry,t5))) != xor(a,t3)
| or(not(t1),xor(carry,or(t6,and(carry,t5)))) = or(not(t1),xor(a,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t1),xor(carry,or(t6,and(carry,t5)))),or(not(t1),xor(carry,or(t6,and(carry,t5))))) ),[1,1],$fot(xor(a,t3))]]) ).
cnf(refute_0_10792,plain,
( xor(carry,or(t6,and(carry,t5))) != xor(a,t3)
| or(not(t1),xor(carry,or(t6,and(carry,t5)))) = or(not(t1),xor(a,t3)) ),
inference(resolve,[$cnf( $equal(or(not(t1),xor(carry,or(t6,and(carry,t5)))),or(not(t1),xor(carry,or(t6,and(carry,t5))))) )],[refute_0_10790,refute_0_10791]) ).
cnf(refute_0_10793,plain,
or(not(t1),xor(carry,or(t6,and(carry,t5)))) = or(not(t1),xor(a,t3)),
inference(resolve,[$cnf( $equal(xor(carry,or(t6,and(carry,t5))),xor(a,t3)) )],[refute_0_10789,refute_0_10792]) ).
cnf(refute_0_10794,plain,
or(and(carry,t5),xor(carry,or(t6,and(carry,t5)))) = or(and(carry,t5),xor(carry,or(t6,and(carry,t5)))),
introduced(tautology,[refl,[$fot(or(and(carry,t5),xor(carry,or(t6,and(carry,t5)))))]]) ).
cnf(refute_0_10795,plain,
( and(carry,t5) != not(t1)
| or(and(carry,t5),xor(carry,or(t6,and(carry,t5)))) != or(and(carry,t5),xor(carry,or(t6,and(carry,t5))))
| or(and(carry,t5),xor(carry,or(t6,and(carry,t5)))) = or(not(t1),xor(carry,or(t6,and(carry,t5)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(carry,t5),xor(carry,or(t6,and(carry,t5)))),or(and(carry,t5),xor(carry,or(t6,and(carry,t5))))) ),[1,0],$fot(not(t1))]]) ).
cnf(refute_0_10796,plain,
( and(carry,t5) != not(t1)
| or(and(carry,t5),xor(carry,or(t6,and(carry,t5)))) = or(not(t1),xor(carry,or(t6,and(carry,t5)))) ),
inference(resolve,[$cnf( $equal(or(and(carry,t5),xor(carry,or(t6,and(carry,t5)))),or(and(carry,t5),xor(carry,or(t6,and(carry,t5))))) )],[refute_0_10794,refute_0_10795]) ).
cnf(refute_0_10797,plain,
or(and(carry,t5),xor(carry,or(t6,and(carry,t5)))) = or(not(t1),xor(carry,or(t6,and(carry,t5)))),
inference(resolve,[$cnf( $equal(and(carry,t5),not(t1)) )],[refute_0_8966,refute_0_10796]) ).
cnf(refute_0_10798,plain,
( or(and(carry,t5),xor(carry,or(t6,and(carry,t5)))) != or(not(t1),xor(carry,or(t6,and(carry,t5))))
| or(not(t1),xor(carry,or(t6,and(carry,t5)))) != or(not(t1),xor(a,t3))
| or(and(carry,t5),xor(carry,or(t6,and(carry,t5)))) = or(not(t1),xor(a,t3)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(carry,t5),xor(carry,or(t6,and(carry,t5)))))),bind(Y0,$fot(or(not(t1),xor(carry,or(t6,and(carry,t5)))))),bind(Z0,$fot(or(not(t1),xor(a,t3))))]]) ).
cnf(refute_0_10799,plain,
( or(not(t1),xor(carry,or(t6,and(carry,t5)))) != or(not(t1),xor(a,t3))
| or(and(carry,t5),xor(carry,or(t6,and(carry,t5)))) = or(not(t1),xor(a,t3)) ),
inference(resolve,[$cnf( $equal(or(and(carry,t5),xor(carry,or(t6,and(carry,t5)))),or(not(t1),xor(carry,or(t6,and(carry,t5))))) )],[refute_0_10797,refute_0_10798]) ).
cnf(refute_0_10800,plain,
or(and(carry,t5),xor(carry,or(t6,and(carry,t5)))) = or(not(t1),xor(a,t3)),
inference(resolve,[$cnf( $equal(or(not(t1),xor(carry,or(t6,and(carry,t5)))),or(not(t1),xor(a,t3))) )],[refute_0_10793,refute_0_10799]) ).
cnf(refute_0_10801,plain,
( or(and(carry,t5),xor(carry,or(t6,and(carry,t5)))) != or(not(t1),xor(a,t3))
| or(not(t1),xor(a,t3)) != xor(carry,and(t1,t6))
| or(and(carry,t5),xor(carry,or(t6,and(carry,t5)))) = xor(carry,and(t1,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(carry,t5),xor(carry,or(t6,and(carry,t5)))))),bind(Y0,$fot(or(not(t1),xor(a,t3)))),bind(Z0,$fot(xor(carry,and(t1,t6))))]]) ).
cnf(refute_0_10802,plain,
( or(not(t1),xor(a,t3)) != xor(carry,and(t1,t6))
| or(and(carry,t5),xor(carry,or(t6,and(carry,t5)))) = xor(carry,and(t1,t6)) ),
inference(resolve,[$cnf( $equal(or(and(carry,t5),xor(carry,or(t6,and(carry,t5)))),or(not(t1),xor(a,t3))) )],[refute_0_10800,refute_0_10801]) ).
cnf(refute_0_10803,plain,
or(and(carry,t5),xor(carry,or(t6,and(carry,t5)))) = xor(carry,and(t1,t6)),
inference(resolve,[$cnf( $equal(or(not(t1),xor(a,t3)),xor(carry,and(t1,t6))) )],[refute_0_10772,refute_0_10802]) ).
cnf(refute_0_10804,plain,
or(t6,or(and(carry,t5),xor(carry,or(t6,and(carry,t5))))) = or(t6,or(and(carry,t5),xor(carry,or(t6,and(carry,t5))))),
introduced(tautology,[refl,[$fot(or(t6,or(and(carry,t5),xor(carry,or(t6,and(carry,t5))))))]]) ).
cnf(refute_0_10805,plain,
( or(and(carry,t5),xor(carry,or(t6,and(carry,t5)))) != xor(carry,and(t1,t6))
| or(t6,or(and(carry,t5),xor(carry,or(t6,and(carry,t5))))) != or(t6,or(and(carry,t5),xor(carry,or(t6,and(carry,t5)))))
| or(t6,or(and(carry,t5),xor(carry,or(t6,and(carry,t5))))) = or(t6,xor(carry,and(t1,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,or(and(carry,t5),xor(carry,or(t6,and(carry,t5))))),or(t6,or(and(carry,t5),xor(carry,or(t6,and(carry,t5)))))) ),[1,1],$fot(xor(carry,and(t1,t6)))]]) ).
cnf(refute_0_10806,plain,
( or(and(carry,t5),xor(carry,or(t6,and(carry,t5)))) != xor(carry,and(t1,t6))
| or(t6,or(and(carry,t5),xor(carry,or(t6,and(carry,t5))))) = or(t6,xor(carry,and(t1,t6))) ),
inference(resolve,[$cnf( $equal(or(t6,or(and(carry,t5),xor(carry,or(t6,and(carry,t5))))),or(t6,or(and(carry,t5),xor(carry,or(t6,and(carry,t5)))))) )],[refute_0_10804,refute_0_10805]) ).
cnf(refute_0_10807,plain,
or(t6,or(and(carry,t5),xor(carry,or(t6,and(carry,t5))))) = or(t6,xor(carry,and(t1,t6))),
inference(resolve,[$cnf( $equal(or(and(carry,t5),xor(carry,or(t6,and(carry,t5)))),xor(carry,and(t1,t6))) )],[refute_0_10803,refute_0_10806]) ).
cnf(refute_0_10808,plain,
( or(t6,or(and(carry,t5),xor(carry,or(t6,and(carry,t5))))) != or(t6,and(carry,t5))
| or(t6,or(and(carry,t5),xor(carry,or(t6,and(carry,t5))))) != or(t6,xor(carry,and(t1,t6)))
| or(t6,xor(carry,and(t1,t6))) = or(t6,and(carry,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,or(and(carry,t5),xor(carry,or(t6,and(carry,t5))))),or(t6,and(carry,t5))) ),[0],$fot(or(t6,xor(carry,and(t1,t6))))]]) ).
cnf(refute_0_10809,plain,
( or(t6,or(and(carry,t5),xor(carry,or(t6,and(carry,t5))))) != or(t6,and(carry,t5))
| or(t6,xor(carry,and(t1,t6))) = or(t6,and(carry,t5)) ),
inference(resolve,[$cnf( $equal(or(t6,or(and(carry,t5),xor(carry,or(t6,and(carry,t5))))),or(t6,xor(carry,and(t1,t6)))) )],[refute_0_10807,refute_0_10808]) ).
cnf(refute_0_10810,plain,
( or(t6,and(carry,t5)) != t6
| or(t6,xor(carry,and(t1,t6))) != or(t6,and(carry,t5))
| or(t6,xor(carry,and(t1,t6))) = t6 ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,xor(carry,and(t1,t6))),or(t6,and(carry,t5))) ),[1],$fot(t6)]]) ).
cnf(refute_0_10811,plain,
( or(t6,xor(carry,and(t1,t6))) != or(t6,and(carry,t5))
| or(t6,xor(carry,and(t1,t6))) = t6 ),
inference(resolve,[$cnf( $equal(or(t6,and(carry,t5)),t6) )],[refute_0_10782,refute_0_10810]) ).
cnf(refute_0_10812,plain,
( or(t6,or(and(carry,t5),xor(carry,or(t6,and(carry,t5))))) != or(t6,and(carry,t5))
| or(t6,xor(carry,and(t1,t6))) = t6 ),
inference(resolve,[$cnf( $equal(or(t6,xor(carry,and(t1,t6))),or(t6,and(carry,t5))) )],[refute_0_10809,refute_0_10811]) ).
cnf(refute_0_10813,plain,
or(t6,xor(carry,and(t1,t6))) = t6,
inference(resolve,[$cnf( $equal(or(t6,or(and(carry,t5),xor(carry,or(t6,and(carry,t5))))),or(t6,and(carry,t5))) )],[refute_0_10438,refute_0_10812]) ).
cnf(refute_0_10814,plain,
( and(xor(carry,and(t1,t6)),or(t6,xor(carry,and(t1,t6)))) != xor(carry,and(t1,t6))
| or(t6,xor(carry,and(t1,t6))) != t6
| and(xor(carry,and(t1,t6)),t6) = xor(carry,and(t1,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(carry,and(t1,t6)),or(t6,xor(carry,and(t1,t6)))),xor(carry,and(t1,t6))) ),[0,1],$fot(t6)]]) ).
cnf(refute_0_10815,plain,
( and(xor(carry,and(t1,t6)),or(t6,xor(carry,and(t1,t6)))) != xor(carry,and(t1,t6))
| and(xor(carry,and(t1,t6)),t6) = xor(carry,and(t1,t6)) ),
inference(resolve,[$cnf( $equal(or(t6,xor(carry,and(t1,t6))),t6) )],[refute_0_10813,refute_0_10814]) ).
cnf(refute_0_10816,plain,
and(xor(carry,and(t1,t6)),t6) = xor(carry,and(t1,t6)),
inference(resolve,[$cnf( $equal(and(xor(carry,and(t1,t6)),or(t6,xor(carry,and(t1,t6)))),xor(carry,and(t1,t6))) )],[refute_0_10368,refute_0_10815]) ).
cnf(refute_0_10817,plain,
and(xor(carry,and(t1,t6)),t6) = and(t6,xor(carry,and(t1,t6))),
inference(subst,[],[refute_0_116:[bind(X,$fot(t6)),bind(Y,$fot(xor(carry,and(t1,t6))))]]) ).
cnf(refute_0_10818,plain,
( and(xor(carry,and(t1,t6)),t6) != and(t6,xor(carry,and(t1,t6)))
| and(xor(carry,and(t1,t6)),t6) != xor(carry,and(t1,t6))
| and(t6,xor(carry,and(t1,t6))) = xor(carry,and(t1,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(carry,and(t1,t6)),t6),xor(carry,and(t1,t6))) ),[0],$fot(and(t6,xor(carry,and(t1,t6))))]]) ).
cnf(refute_0_10819,plain,
( and(xor(carry,and(t1,t6)),t6) != xor(carry,and(t1,t6))
| and(t6,xor(carry,and(t1,t6))) = xor(carry,and(t1,t6)) ),
inference(resolve,[$cnf( $equal(and(xor(carry,and(t1,t6)),t6),and(t6,xor(carry,and(t1,t6)))) )],[refute_0_10817,refute_0_10818]) ).
cnf(refute_0_10820,plain,
and(t6,xor(carry,and(t1,t6))) = xor(carry,and(t1,t6)),
inference(resolve,[$cnf( $equal(and(xor(carry,and(t1,t6)),t6),xor(carry,and(t1,t6))) )],[refute_0_10816,refute_0_10819]) ).
cnf(refute_0_10821,plain,
( and(not(t4),xor(carry,and(t1,t6))) != and(t5,and(t6,xor(carry,and(t1,t6))))
| and(t6,xor(carry,and(t1,t6))) != xor(carry,and(t1,t6))
| and(not(t4),xor(carry,and(t1,t6))) = and(t5,xor(carry,and(t1,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),xor(carry,and(t1,t6))),and(t5,and(t6,xor(carry,and(t1,t6))))) ),[1,1],$fot(xor(carry,and(t1,t6)))]]) ).
cnf(refute_0_10822,plain,
( and(not(t4),xor(carry,and(t1,t6))) != and(t5,and(t6,xor(carry,and(t1,t6))))
| and(not(t4),xor(carry,and(t1,t6))) = and(t5,xor(carry,and(t1,t6))) ),
inference(resolve,[$cnf( $equal(and(t6,xor(carry,and(t1,t6))),xor(carry,and(t1,t6))) )],[refute_0_10820,refute_0_10821]) ).
cnf(refute_0_10823,plain,
and(not(t4),xor(carry,and(t1,t6))) = and(t5,xor(carry,and(t1,t6))),
inference(resolve,[$cnf( $equal(and(not(t4),xor(carry,and(t1,t6))),and(t5,and(t6,xor(carry,and(t1,t6))))) )],[refute_0_10367,refute_0_10822]) ).
cnf(refute_0_10824,plain,
( and(not(t4),xor(carry,and(t1,t6))) != and(t5,xor(carry,and(t1,t6)))
| not(and(xor(carry,and(t1,t6)),not(t4))) != not(and(not(t4),xor(carry,and(t1,t6))))
| not(and(xor(carry,and(t1,t6)),not(t4))) = not(and(t5,xor(carry,and(t1,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(xor(carry,and(t1,t6)),not(t4))),not(and(not(t4),xor(carry,and(t1,t6))))) ),[1,0],$fot(and(t5,xor(carry,and(t1,t6))))]]) ).
cnf(refute_0_10825,plain,
( not(and(xor(carry,and(t1,t6)),not(t4))) != not(and(not(t4),xor(carry,and(t1,t6))))
| not(and(xor(carry,and(t1,t6)),not(t4))) = not(and(t5,xor(carry,and(t1,t6)))) ),
inference(resolve,[$cnf( $equal(and(not(t4),xor(carry,and(t1,t6))),and(t5,xor(carry,and(t1,t6)))) )],[refute_0_10823,refute_0_10824]) ).
cnf(refute_0_10826,plain,
not(and(xor(carry,and(t1,t6)),not(t4))) = not(and(t5,xor(carry,and(t1,t6)))),
inference(resolve,[$cnf( $equal(not(and(xor(carry,and(t1,t6)),not(t4))),not(and(not(t4),xor(carry,and(t1,t6))))) )],[refute_0_10366,refute_0_10825]) ).
cnf(refute_0_10827,plain,
or(t4,t4) = t4,
inference(subst,[],[or_idempotent:[bind(X,$fot(t4))]]) ).
cnf(refute_0_10828,plain,
xor(carry,xor(carry,t4)) = t4,
inference(subst,[],[refute_0_88:[bind(X_334,$fot(carry)),bind(X_335,$fot(t4))]]) ).
cnf(refute_0_10829,plain,
not(xor(X_377,and(t1,t6))) = xor(X_377,not(and(t1,t6))),
inference(subst,[],[refute_0_1137:[bind(X_333,$fot(X_377)),bind(X_334,$fot(and(t1,t6)))]]) ).
cnf(refute_0_10830,plain,
( and(t1,not(t6)) != not(t6)
| or(and(t1,not(t6)),and(not(t1),t6)) != xor(t1,t6)
| or(not(t6),and(not(t1),t6)) = xor(t1,t6) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t1,not(t6)),and(not(t1),t6)),xor(t1,t6)) ),[0,0],$fot(not(t6))]]) ).
cnf(refute_0_10831,plain,
( or(and(t1,not(t6)),and(not(t1),t6)) != xor(t1,t6)
| or(not(t6),and(not(t1),t6)) = xor(t1,t6) ),
inference(resolve,[$cnf( $equal(and(t1,not(t6)),not(t6)) )],[refute_0_10640,refute_0_10830]) ).
cnf(refute_0_10832,plain,
or(not(t6),and(not(t1),t6)) = xor(t1,t6),
inference(resolve,[$cnf( $equal(or(and(t1,not(t6)),and(not(t1),t6)),xor(t1,t6)) )],[refute_0_10441,refute_0_10831]) ).
cnf(refute_0_10833,plain,
and(t6,t1) = and(t1,t6),
inference(subst,[],[refute_0_116:[bind(X,$fot(t1)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_10834,plain,
and(t6,or(t1,not(t6))) = and(t6,or(t1,not(t6))),
introduced(tautology,[refl,[$fot(and(t6,or(t1,not(t6))))]]) ).
cnf(refute_0_10835,plain,
( and(t6,or(t1,not(t6))) != and(t6,or(t1,not(t6)))
| or(t1,not(t6)) != t1
| and(t6,or(t1,not(t6))) = and(t6,t1) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(t1,not(t6))),and(t6,or(t1,not(t6)))) ),[1,1],$fot(t1)]]) ).
cnf(refute_0_10836,plain,
( or(t1,not(t6)) != t1
| and(t6,or(t1,not(t6))) = and(t6,t1) ),
inference(resolve,[$cnf( $equal(and(t6,or(t1,not(t6))),and(t6,or(t1,not(t6)))) )],[refute_0_10834,refute_0_10835]) ).
cnf(refute_0_10837,plain,
and(t6,or(t1,not(t6))) = and(t6,t1),
inference(resolve,[$cnf( $equal(or(t1,not(t6)),t1) )],[refute_0_10624,refute_0_10836]) ).
cnf(refute_0_10838,plain,
( and(t6,or(t1,not(t6))) != and(t6,t1)
| and(t6,t1) != and(t1,t6)
| and(t6,or(t1,not(t6))) = and(t1,t6) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t6,or(t1,not(t6))))),bind(Y0,$fot(and(t6,t1))),bind(Z0,$fot(and(t1,t6)))]]) ).
cnf(refute_0_10839,plain,
( and(t6,t1) != and(t1,t6)
| and(t6,or(t1,not(t6))) = and(t1,t6) ),
inference(resolve,[$cnf( $equal(and(t6,or(t1,not(t6))),and(t6,t1)) )],[refute_0_10837,refute_0_10838]) ).
cnf(refute_0_10840,plain,
and(t6,or(t1,not(t6))) = and(t1,t6),
inference(resolve,[$cnf( $equal(and(t6,t1),and(t1,t6)) )],[refute_0_10833,refute_0_10839]) ).
cnf(refute_0_10841,plain,
not(and(t6,or(t1,not(t6)))) = not(and(t6,or(t1,not(t6)))),
introduced(tautology,[refl,[$fot(not(and(t6,or(t1,not(t6)))))]]) ).
cnf(refute_0_10842,plain,
( and(t6,or(t1,not(t6))) != and(t1,t6)
| not(and(t6,or(t1,not(t6)))) != not(and(t6,or(t1,not(t6))))
| not(and(t6,or(t1,not(t6)))) = not(and(t1,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(t6,or(t1,not(t6)))),not(and(t6,or(t1,not(t6))))) ),[1,0],$fot(and(t1,t6))]]) ).
cnf(refute_0_10843,plain,
( and(t6,or(t1,not(t6))) != and(t1,t6)
| not(and(t6,or(t1,not(t6)))) = not(and(t1,t6)) ),
inference(resolve,[$cnf( $equal(not(and(t6,or(t1,not(t6)))),not(and(t6,or(t1,not(t6))))) )],[refute_0_10841,refute_0_10842]) ).
cnf(refute_0_10844,plain,
not(and(t6,or(t1,not(t6)))) = not(and(t1,t6)),
inference(resolve,[$cnf( $equal(and(t6,or(t1,not(t6))),and(t1,t6)) )],[refute_0_10840,refute_0_10843]) ).
cnf(refute_0_10845,plain,
or(not(t6),and(not(t1),t6)) = not(and(t6,or(t1,not(t6)))),
inference(subst,[],[refute_0_1337:[bind(X,$fot(t6)),bind(X_78,$fot(t6)),bind(X_79,$fot(t1))]]) ).
cnf(refute_0_10846,plain,
( not(and(t6,or(t1,not(t6)))) != not(and(t1,t6))
| or(not(t6),and(not(t1),t6)) != not(and(t6,or(t1,not(t6))))
| or(not(t6),and(not(t1),t6)) = not(and(t1,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t6),and(not(t1),t6)))),bind(Y0,$fot(not(and(t6,or(t1,not(t6)))))),bind(Z0,$fot(not(and(t1,t6))))]]) ).
cnf(refute_0_10847,plain,
( not(and(t6,or(t1,not(t6)))) != not(and(t1,t6))
| or(not(t6),and(not(t1),t6)) = not(and(t1,t6)) ),
inference(resolve,[$cnf( $equal(or(not(t6),and(not(t1),t6)),not(and(t6,or(t1,not(t6))))) )],[refute_0_10845,refute_0_10846]) ).
cnf(refute_0_10848,plain,
or(not(t6),and(not(t1),t6)) = not(and(t1,t6)),
inference(resolve,[$cnf( $equal(not(and(t6,or(t1,not(t6)))),not(and(t1,t6))) )],[refute_0_10844,refute_0_10847]) ).
cnf(refute_0_10849,plain,
( or(not(t6),and(not(t1),t6)) != not(and(t1,t6))
| or(not(t6),and(not(t1),t6)) != xor(t1,t6)
| not(and(t1,t6)) = xor(t1,t6) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t6),and(not(t1),t6)),xor(t1,t6)) ),[0],$fot(not(and(t1,t6)))]]) ).
cnf(refute_0_10850,plain,
( or(not(t6),and(not(t1),t6)) != xor(t1,t6)
| not(and(t1,t6)) = xor(t1,t6) ),
inference(resolve,[$cnf( $equal(or(not(t6),and(not(t1),t6)),not(and(t1,t6))) )],[refute_0_10848,refute_0_10849]) ).
cnf(refute_0_10851,plain,
not(and(t1,t6)) = xor(t1,t6),
inference(resolve,[$cnf( $equal(or(not(t6),and(not(t1),t6)),xor(t1,t6)) )],[refute_0_10832,refute_0_10850]) ).
cnf(refute_0_10852,plain,
( not(and(t1,t6)) != xor(t1,t6)
| xor(t1,t6) != xor(carry,t4)
| not(and(t1,t6)) = xor(carry,t4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(t1,t6)),xor(carry,t4)) ),[0],$fot(xor(t1,t6))]]) ).
cnf(refute_0_10853,plain,
( not(and(t1,t6)) != xor(t1,t6)
| not(and(t1,t6)) = xor(carry,t4) ),
inference(resolve,[$cnf( $equal(xor(t1,t6),xor(carry,t4)) )],[refute_0_10685,refute_0_10852]) ).
cnf(refute_0_10854,plain,
not(and(t1,t6)) = xor(carry,t4),
inference(resolve,[$cnf( $equal(not(and(t1,t6)),xor(t1,t6)) )],[refute_0_10851,refute_0_10853]) ).
cnf(refute_0_10855,plain,
( not(and(t1,t6)) != xor(carry,t4)
| not(xor(X_377,and(t1,t6))) != xor(X_377,not(and(t1,t6)))
| not(xor(X_377,and(t1,t6))) = xor(X_377,xor(carry,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(X_377,and(t1,t6))),xor(X_377,not(and(t1,t6)))) ),[1,1],$fot(xor(carry,t4))]]) ).
cnf(refute_0_10856,plain,
( not(xor(X_377,and(t1,t6))) != xor(X_377,not(and(t1,t6)))
| not(xor(X_377,and(t1,t6))) = xor(X_377,xor(carry,t4)) ),
inference(resolve,[$cnf( $equal(not(and(t1,t6)),xor(carry,t4)) )],[refute_0_10854,refute_0_10855]) ).
cnf(refute_0_10857,plain,
not(xor(X_377,and(t1,t6))) = xor(X_377,xor(carry,t4)),
inference(resolve,[$cnf( $equal(not(xor(X_377,and(t1,t6))),xor(X_377,not(and(t1,t6)))) )],[refute_0_10829,refute_0_10856]) ).
cnf(refute_0_10858,plain,
not(xor(carry,and(t1,t6))) = xor(carry,xor(carry,t4)),
inference(subst,[],[refute_0_10857:[bind(X_377,$fot(carry))]]) ).
cnf(refute_0_10859,plain,
( not(xor(carry,and(t1,t6))) != xor(carry,xor(carry,t4))
| xor(carry,xor(carry,t4)) != t4
| not(xor(carry,and(t1,t6))) = t4 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(carry,and(t1,t6))))),bind(Y0,$fot(xor(carry,xor(carry,t4)))),bind(Z0,$fot(t4))]]) ).
cnf(refute_0_10860,plain,
( xor(carry,xor(carry,t4)) != t4
| not(xor(carry,and(t1,t6))) = t4 ),
inference(resolve,[$cnf( $equal(not(xor(carry,and(t1,t6))),xor(carry,xor(carry,t4))) )],[refute_0_10858,refute_0_10859]) ).
cnf(refute_0_10861,plain,
not(xor(carry,and(t1,t6))) = t4,
inference(resolve,[$cnf( $equal(xor(carry,xor(carry,t4)),t4) )],[refute_0_10828,refute_0_10860]) ).
cnf(refute_0_10862,plain,
or(t4,not(xor(carry,and(t1,t6)))) = or(t4,not(xor(carry,and(t1,t6)))),
introduced(tautology,[refl,[$fot(or(t4,not(xor(carry,and(t1,t6)))))]]) ).
cnf(refute_0_10863,plain,
( not(xor(carry,and(t1,t6))) != t4
| or(t4,not(xor(carry,and(t1,t6)))) != or(t4,not(xor(carry,and(t1,t6))))
| or(t4,not(xor(carry,and(t1,t6)))) = or(t4,t4) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,not(xor(carry,and(t1,t6)))),or(t4,not(xor(carry,and(t1,t6))))) ),[1,1],$fot(t4)]]) ).
cnf(refute_0_10864,plain,
( not(xor(carry,and(t1,t6))) != t4
| or(t4,not(xor(carry,and(t1,t6)))) = or(t4,t4) ),
inference(resolve,[$cnf( $equal(or(t4,not(xor(carry,and(t1,t6)))),or(t4,not(xor(carry,and(t1,t6))))) )],[refute_0_10862,refute_0_10863]) ).
cnf(refute_0_10865,plain,
or(t4,not(xor(carry,and(t1,t6)))) = or(t4,t4),
inference(resolve,[$cnf( $equal(not(xor(carry,and(t1,t6))),t4) )],[refute_0_10861,refute_0_10864]) ).
cnf(refute_0_10866,plain,
( or(t4,not(xor(carry,and(t1,t6)))) != or(t4,t4)
| or(t4,t4) != t4
| or(t4,not(xor(carry,and(t1,t6)))) = t4 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t4,not(xor(carry,and(t1,t6)))))),bind(Y0,$fot(or(t4,t4))),bind(Z0,$fot(t4))]]) ).
cnf(refute_0_10867,plain,
( or(t4,t4) != t4
| or(t4,not(xor(carry,and(t1,t6)))) = t4 ),
inference(resolve,[$cnf( $equal(or(t4,not(xor(carry,and(t1,t6)))),or(t4,t4)) )],[refute_0_10865,refute_0_10866]) ).
cnf(refute_0_10868,plain,
or(t4,not(xor(carry,and(t1,t6)))) = t4,
inference(resolve,[$cnf( $equal(or(t4,t4),t4) )],[refute_0_10827,refute_0_10867]) ).
cnf(refute_0_10869,plain,
not(and(not(t4),xor(carry,and(t1,t6)))) = or(t4,not(xor(carry,and(t1,t6)))),
inference(subst,[],[refute_0_787:[bind(X,$fot(t4)),bind(X_32,$fot(xor(carry,and(t1,t6))))]]) ).
cnf(refute_0_10870,plain,
( not(and(not(t4),xor(carry,and(t1,t6)))) != or(t4,not(xor(carry,and(t1,t6))))
| not(and(xor(carry,and(t1,t6)),not(t4))) != not(and(not(t4),xor(carry,and(t1,t6))))
| not(and(xor(carry,and(t1,t6)),not(t4))) = or(t4,not(xor(carry,and(t1,t6)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(xor(carry,and(t1,t6)),not(t4))))),bind(Y0,$fot(not(and(not(t4),xor(carry,and(t1,t6)))))),bind(Z0,$fot(or(t4,not(xor(carry,and(t1,t6))))))]]) ).
cnf(refute_0_10871,plain,
( not(and(not(t4),xor(carry,and(t1,t6)))) != or(t4,not(xor(carry,and(t1,t6))))
| not(and(xor(carry,and(t1,t6)),not(t4))) = or(t4,not(xor(carry,and(t1,t6)))) ),
inference(resolve,[$cnf( $equal(not(and(xor(carry,and(t1,t6)),not(t4))),not(and(not(t4),xor(carry,and(t1,t6))))) )],[refute_0_10366,refute_0_10870]) ).
cnf(refute_0_10872,plain,
not(and(xor(carry,and(t1,t6)),not(t4))) = or(t4,not(xor(carry,and(t1,t6)))),
inference(resolve,[$cnf( $equal(not(and(not(t4),xor(carry,and(t1,t6)))),or(t4,not(xor(carry,and(t1,t6))))) )],[refute_0_10869,refute_0_10871]) ).
cnf(refute_0_10873,plain,
( not(and(xor(carry,and(t1,t6)),not(t4))) != or(t4,not(xor(carry,and(t1,t6))))
| or(t4,not(xor(carry,and(t1,t6)))) != t4
| not(and(xor(carry,and(t1,t6)),not(t4))) = t4 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(xor(carry,and(t1,t6)),not(t4))))),bind(Y0,$fot(or(t4,not(xor(carry,and(t1,t6)))))),bind(Z0,$fot(t4))]]) ).
cnf(refute_0_10874,plain,
( or(t4,not(xor(carry,and(t1,t6)))) != t4
| not(and(xor(carry,and(t1,t6)),not(t4))) = t4 ),
inference(resolve,[$cnf( $equal(not(and(xor(carry,and(t1,t6)),not(t4))),or(t4,not(xor(carry,and(t1,t6))))) )],[refute_0_10872,refute_0_10873]) ).
cnf(refute_0_10875,plain,
not(and(xor(carry,and(t1,t6)),not(t4))) = t4,
inference(resolve,[$cnf( $equal(or(t4,not(xor(carry,and(t1,t6)))),t4) )],[refute_0_10868,refute_0_10874]) ).
cnf(refute_0_10876,plain,
( not(and(xor(carry,and(t1,t6)),not(t4))) != not(and(t5,xor(carry,and(t1,t6))))
| not(and(xor(carry,and(t1,t6)),not(t4))) != t4
| t4 = not(and(t5,xor(carry,and(t1,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(xor(carry,and(t1,t6)),not(t4))),not(and(t5,xor(carry,and(t1,t6))))) ),[0],$fot(t4)]]) ).
cnf(refute_0_10877,plain,
( not(and(xor(carry,and(t1,t6)),not(t4))) != not(and(t5,xor(carry,and(t1,t6))))
| t4 = not(and(t5,xor(carry,and(t1,t6)))) ),
inference(resolve,[$cnf( $equal(not(and(xor(carry,and(t1,t6)),not(t4))),t4) )],[refute_0_10875,refute_0_10876]) ).
cnf(refute_0_10878,plain,
t4 = not(and(t5,xor(carry,and(t1,t6)))),
inference(resolve,[$cnf( $equal(not(and(xor(carry,and(t1,t6)),not(t4))),not(and(t5,xor(carry,and(t1,t6))))) )],[refute_0_10826,refute_0_10877]) ).
cnf(refute_0_10879,plain,
( t4 != not(and(t5,xor(carry,and(t1,t6))))
| not(and(t5,xor(carry,and(t1,t6)))) = t4 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(t4)),bind(Y0,$fot(not(and(t5,xor(carry,and(t1,t6))))))]]) ).
cnf(refute_0_10880,plain,
not(and(t5,xor(carry,and(t1,t6)))) = t4,
inference(resolve,[$cnf( $equal(t4,not(and(t5,xor(carry,and(t1,t6))))) )],[refute_0_10878,refute_0_10879]) ).
cnf(refute_0_10881,plain,
( not(and(not(X),and(t5,xor(carry,and(t1,t6))))) != or(X,not(and(t5,xor(carry,and(t1,t6)))))
| not(and(t5,xor(carry,and(t1,t6)))) != t4
| not(and(not(X),and(t5,xor(carry,and(t1,t6))))) = or(X,t4) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(X),and(t5,xor(carry,and(t1,t6))))),or(X,not(and(t5,xor(carry,and(t1,t6)))))) ),[1,1],$fot(t4)]]) ).
cnf(refute_0_10882,plain,
( not(and(not(X),and(t5,xor(carry,and(t1,t6))))) != or(X,not(and(t5,xor(carry,and(t1,t6)))))
| not(and(not(X),and(t5,xor(carry,and(t1,t6))))) = or(X,t4) ),
inference(resolve,[$cnf( $equal(not(and(t5,xor(carry,and(t1,t6)))),t4) )],[refute_0_10880,refute_0_10881]) ).
cnf(refute_0_10883,plain,
not(and(not(X),and(t5,xor(carry,and(t1,t6))))) = or(X,t4),
inference(resolve,[$cnf( $equal(not(and(not(X),and(t5,xor(carry,and(t1,t6))))),or(X,not(and(t5,xor(carry,and(t1,t6)))))) )],[refute_0_10365,refute_0_10882]) ).
cnf(refute_0_10884,plain,
not(and(not(X),and(t5,xor(carry,and(t1,t6))))) = not(and(t5,and(xor(carry,and(t1,t6)),not(X)))),
inference(subst,[],[refute_0_10246:[bind(X_220,$fot(t5)),bind(X_221,$fot(xor(carry,and(t1,t6)))),bind(X_32,$fot(not(X)))]]) ).
cnf(refute_0_10885,plain,
( not(and(not(X),and(t5,xor(carry,and(t1,t6))))) != not(and(t5,and(xor(carry,and(t1,t6)),not(X))))
| not(and(not(X),and(t5,xor(carry,and(t1,t6))))) != or(X,t4)
| not(and(t5,and(xor(carry,and(t1,t6)),not(X)))) = or(X,t4) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(X),and(t5,xor(carry,and(t1,t6))))),or(X,t4)) ),[0],$fot(not(and(t5,and(xor(carry,and(t1,t6)),not(X)))))]]) ).
cnf(refute_0_10886,plain,
( not(and(not(X),and(t5,xor(carry,and(t1,t6))))) != or(X,t4)
| not(and(t5,and(xor(carry,and(t1,t6)),not(X)))) = or(X,t4) ),
inference(resolve,[$cnf( $equal(not(and(not(X),and(t5,xor(carry,and(t1,t6))))),not(and(t5,and(xor(carry,and(t1,t6)),not(X))))) )],[refute_0_10884,refute_0_10885]) ).
cnf(refute_0_10887,plain,
not(and(t5,and(xor(carry,and(t1,t6)),not(X)))) = or(X,t4),
inference(resolve,[$cnf( $equal(not(and(not(X),and(t5,xor(carry,and(t1,t6))))),or(X,t4)) )],[refute_0_10883,refute_0_10886]) ).
cnf(refute_0_10888,plain,
or(t4,not(not(X))) = or(t4,not(not(X))),
introduced(tautology,[refl,[$fot(or(t4,not(not(X))))]]) ).
cnf(refute_0_10889,plain,
( not(not(X)) != X
| or(t4,not(not(X))) != or(t4,not(not(X)))
| or(t4,not(not(X))) = or(t4,X) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,not(not(X))),or(t4,not(not(X)))) ),[1,1],$fot(X)]]) ).
cnf(refute_0_10890,plain,
( not(not(X)) != X
| or(t4,not(not(X))) = or(t4,X) ),
inference(resolve,[$cnf( $equal(or(t4,not(not(X))),or(t4,not(not(X)))) )],[refute_0_10888,refute_0_10889]) ).
cnf(refute_0_10891,plain,
or(t4,not(not(X))) = or(t4,X),
inference(resolve,[$cnf( $equal(not(not(X)),X) )],[not_involution,refute_0_10890]) ).
cnf(refute_0_10892,plain,
not(and(and(t5,xor(carry,and(t1,t6))),Y)) = or(not(and(t5,xor(carry,and(t1,t6)))),not(Y)),
inference(subst,[],[and_demorgan:[bind(X,$fot(and(t5,xor(carry,and(t1,t6)))))]]) ).
cnf(refute_0_10893,plain,
( not(and(and(t5,xor(carry,and(t1,t6))),Y)) != or(not(and(t5,xor(carry,and(t1,t6)))),not(Y))
| not(and(t5,xor(carry,and(t1,t6)))) != t4
| not(and(and(t5,xor(carry,and(t1,t6))),Y)) = or(t4,not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(t5,xor(carry,and(t1,t6))),Y)),or(not(and(t5,xor(carry,and(t1,t6)))),not(Y))) ),[1,0],$fot(t4)]]) ).
cnf(refute_0_10894,plain,
( not(and(and(t5,xor(carry,and(t1,t6))),Y)) != or(not(and(t5,xor(carry,and(t1,t6)))),not(Y))
| not(and(and(t5,xor(carry,and(t1,t6))),Y)) = or(t4,not(Y)) ),
inference(resolve,[$cnf( $equal(not(and(t5,xor(carry,and(t1,t6)))),t4) )],[refute_0_10880,refute_0_10893]) ).
cnf(refute_0_10895,plain,
not(and(and(t5,xor(carry,and(t1,t6))),Y)) = or(t4,not(Y)),
inference(resolve,[$cnf( $equal(not(and(and(t5,xor(carry,and(t1,t6))),Y)),or(not(and(t5,xor(carry,and(t1,t6)))),not(Y))) )],[refute_0_10892,refute_0_10894]) ).
cnf(refute_0_10896,plain,
and(and(t5,xor(carry,and(t1,t6))),Y) = and(t5,and(xor(carry,and(t1,t6)),Y)),
inference(subst,[],[and_associative:[bind(X,$fot(t5)),bind(Y,$fot(xor(carry,and(t1,t6)))),bind(Z,$fot(Y))]]) ).
cnf(refute_0_10897,plain,
not(and(and(t5,xor(carry,and(t1,t6))),Y)) = not(and(and(t5,xor(carry,and(t1,t6))),Y)),
introduced(tautology,[refl,[$fot(not(and(and(t5,xor(carry,and(t1,t6))),Y)))]]) ).
cnf(refute_0_10898,plain,
( and(and(t5,xor(carry,and(t1,t6))),Y) != and(t5,and(xor(carry,and(t1,t6)),Y))
| not(and(and(t5,xor(carry,and(t1,t6))),Y)) != not(and(and(t5,xor(carry,and(t1,t6))),Y))
| not(and(and(t5,xor(carry,and(t1,t6))),Y)) = not(and(t5,and(xor(carry,and(t1,t6)),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(t5,xor(carry,and(t1,t6))),Y)),not(and(and(t5,xor(carry,and(t1,t6))),Y))) ),[1,0],$fot(and(t5,and(xor(carry,and(t1,t6)),Y)))]]) ).
cnf(refute_0_10899,plain,
( and(and(t5,xor(carry,and(t1,t6))),Y) != and(t5,and(xor(carry,and(t1,t6)),Y))
| not(and(and(t5,xor(carry,and(t1,t6))),Y)) = not(and(t5,and(xor(carry,and(t1,t6)),Y))) ),
inference(resolve,[$cnf( $equal(not(and(and(t5,xor(carry,and(t1,t6))),Y)),not(and(and(t5,xor(carry,and(t1,t6))),Y))) )],[refute_0_10897,refute_0_10898]) ).
cnf(refute_0_10900,plain,
not(and(and(t5,xor(carry,and(t1,t6))),Y)) = not(and(t5,and(xor(carry,and(t1,t6)),Y))),
inference(resolve,[$cnf( $equal(and(and(t5,xor(carry,and(t1,t6))),Y),and(t5,and(xor(carry,and(t1,t6)),Y))) )],[refute_0_10896,refute_0_10899]) ).
cnf(refute_0_10901,plain,
( not(and(and(t5,xor(carry,and(t1,t6))),Y)) != not(and(t5,and(xor(carry,and(t1,t6)),Y)))
| not(and(and(t5,xor(carry,and(t1,t6))),Y)) != or(t4,not(Y))
| not(and(t5,and(xor(carry,and(t1,t6)),Y))) = or(t4,not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(t5,xor(carry,and(t1,t6))),Y)),or(t4,not(Y))) ),[0],$fot(not(and(t5,and(xor(carry,and(t1,t6)),Y))))]]) ).
cnf(refute_0_10902,plain,
( not(and(and(t5,xor(carry,and(t1,t6))),Y)) != or(t4,not(Y))
| not(and(t5,and(xor(carry,and(t1,t6)),Y))) = or(t4,not(Y)) ),
inference(resolve,[$cnf( $equal(not(and(and(t5,xor(carry,and(t1,t6))),Y)),not(and(t5,and(xor(carry,and(t1,t6)),Y)))) )],[refute_0_10900,refute_0_10901]) ).
cnf(refute_0_10903,plain,
not(and(t5,and(xor(carry,and(t1,t6)),Y))) = or(t4,not(Y)),
inference(resolve,[$cnf( $equal(not(and(and(t5,xor(carry,and(t1,t6))),Y)),or(t4,not(Y))) )],[refute_0_10895,refute_0_10902]) ).
cnf(refute_0_10904,plain,
not(and(t5,and(xor(carry,and(t1,t6)),not(X)))) = or(t4,not(not(X))),
inference(subst,[],[refute_0_10903:[bind(Y,$fot(not(X)))]]) ).
cnf(refute_0_10905,plain,
( not(and(t5,and(xor(carry,and(t1,t6)),not(X)))) != or(t4,not(not(X)))
| or(t4,not(not(X))) != or(t4,X)
| not(and(t5,and(xor(carry,and(t1,t6)),not(X)))) = or(t4,X) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(t5,and(xor(carry,and(t1,t6)),not(X)))))),bind(Y0,$fot(or(t4,not(not(X))))),bind(Z0,$fot(or(t4,X)))]]) ).
cnf(refute_0_10906,plain,
( or(t4,not(not(X))) != or(t4,X)
| not(and(t5,and(xor(carry,and(t1,t6)),not(X)))) = or(t4,X) ),
inference(resolve,[$cnf( $equal(not(and(t5,and(xor(carry,and(t1,t6)),not(X)))),or(t4,not(not(X)))) )],[refute_0_10904,refute_0_10905]) ).
cnf(refute_0_10907,plain,
not(and(t5,and(xor(carry,and(t1,t6)),not(X)))) = or(t4,X),
inference(resolve,[$cnf( $equal(or(t4,not(not(X))),or(t4,X)) )],[refute_0_10891,refute_0_10906]) ).
cnf(refute_0_10908,plain,
( not(and(t5,and(xor(carry,and(t1,t6)),not(X)))) != or(X,t4)
| not(and(t5,and(xor(carry,and(t1,t6)),not(X)))) != or(t4,X)
| or(t4,X) = or(X,t4) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(t5,and(xor(carry,and(t1,t6)),not(X)))),or(X,t4)) ),[0],$fot(or(t4,X))]]) ).
cnf(refute_0_10909,plain,
( not(and(t5,and(xor(carry,and(t1,t6)),not(X)))) != or(X,t4)
| or(t4,X) = or(X,t4) ),
inference(resolve,[$cnf( $equal(not(and(t5,and(xor(carry,and(t1,t6)),not(X)))),or(t4,X)) )],[refute_0_10907,refute_0_10908]) ).
cnf(refute_0_10910,plain,
or(t4,X) = or(X,t4),
inference(resolve,[$cnf( $equal(not(and(t5,and(xor(carry,and(t1,t6)),not(X)))),or(X,t4)) )],[refute_0_10887,refute_0_10909]) ).
cnf(refute_0_10911,plain,
( or(t4,X) != or(X,t4)
| or(X,t4) = or(t4,X) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(t4,X))),bind(Y0,$fot(or(X,t4)))]]) ).
cnf(refute_0_10912,plain,
or(X,t4) = or(t4,X),
inference(resolve,[$cnf( $equal(or(t4,X),or(X,t4)) )],[refute_0_10910,refute_0_10911]) ).
cnf(refute_0_10913,plain,
or(not(xor(t7,or(a,t7))),t4) = or(t4,not(xor(t7,or(a,t7)))),
inference(subst,[],[refute_0_10912:[bind(X,$fot(not(xor(t7,or(a,t7)))))]]) ).
cnf(refute_0_10914,plain,
( or(not(xor(t7,or(a,t7))),t4) != not(xor(t7,or(a,t7)))
| or(not(xor(t7,or(a,t7))),t4) != or(t4,not(xor(t7,or(a,t7))))
| or(t4,not(xor(t7,or(a,t7)))) = not(xor(t7,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(xor(t7,or(a,t7))),t4),not(xor(t7,or(a,t7)))) ),[0],$fot(or(t4,not(xor(t7,or(a,t7)))))]]) ).
cnf(refute_0_10915,plain,
( or(not(xor(t7,or(a,t7))),t4) != not(xor(t7,or(a,t7)))
| or(t4,not(xor(t7,or(a,t7)))) = not(xor(t7,or(a,t7))) ),
inference(resolve,[$cnf( $equal(or(not(xor(t7,or(a,t7))),t4),or(t4,not(xor(t7,or(a,t7))))) )],[refute_0_10913,refute_0_10914]) ).
cnf(refute_0_10916,plain,
or(t4,not(xor(t7,or(a,t7)))) = not(xor(t7,or(a,t7))),
inference(resolve,[$cnf( $equal(or(not(xor(t7,or(a,t7))),t4),not(xor(t7,or(a,t7)))) )],[refute_0_10364,refute_0_10915]) ).
cnf(refute_0_10917,plain,
( not(or(t4,not(xor(t7,or(a,t7))))) != and(t5,not(or(t4,not(xor(t7,or(a,t7))))))
| or(t4,not(xor(t7,or(a,t7)))) != not(xor(t7,or(a,t7)))
| not(or(t4,not(xor(t7,or(a,t7))))) = and(t5,not(not(xor(t7,or(a,t7))))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t4,not(xor(t7,or(a,t7))))),and(t5,not(or(t4,not(xor(t7,or(a,t7))))))) ),[1,1,0],$fot(not(xor(t7,or(a,t7))))]]) ).
cnf(refute_0_10918,plain,
( not(or(t4,not(xor(t7,or(a,t7))))) != and(t5,not(or(t4,not(xor(t7,or(a,t7))))))
| not(or(t4,not(xor(t7,or(a,t7))))) = and(t5,not(not(xor(t7,or(a,t7))))) ),
inference(resolve,[$cnf( $equal(or(t4,not(xor(t7,or(a,t7)))),not(xor(t7,or(a,t7)))) )],[refute_0_10916,refute_0_10917]) ).
cnf(refute_0_10919,plain,
not(or(t4,not(xor(t7,or(a,t7))))) = and(t5,not(not(xor(t7,or(a,t7))))),
inference(resolve,[$cnf( $equal(not(or(t4,not(xor(t7,or(a,t7))))),and(t5,not(or(t4,not(xor(t7,or(a,t7))))))) )],[refute_0_10334,refute_0_10918]) ).
cnf(refute_0_10920,plain,
not(or(not(xor(t7,or(a,t7))),t4)) = not(or(t4,not(xor(t7,or(a,t7))))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(t4)),bind(X_26,$fot(not(xor(t7,or(a,t7)))))]]) ).
cnf(refute_0_10921,plain,
( not(or(not(xor(t7,or(a,t7))),t4)) != not(or(t4,not(xor(t7,or(a,t7)))))
| or(t4,not(xor(t7,or(a,t7)))) != not(xor(t7,or(a,t7)))
| not(or(not(xor(t7,or(a,t7))),t4)) = not(not(xor(t7,or(a,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(xor(t7,or(a,t7))),t4)),not(or(t4,not(xor(t7,or(a,t7)))))) ),[1,0],$fot(not(xor(t7,or(a,t7))))]]) ).
cnf(refute_0_10922,plain,
( not(or(not(xor(t7,or(a,t7))),t4)) != not(or(t4,not(xor(t7,or(a,t7)))))
| not(or(not(xor(t7,or(a,t7))),t4)) = not(not(xor(t7,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(or(t4,not(xor(t7,or(a,t7)))),not(xor(t7,or(a,t7)))) )],[refute_0_10916,refute_0_10921]) ).
cnf(refute_0_10923,plain,
not(or(not(xor(t7,or(a,t7))),t4)) = not(not(xor(t7,or(a,t7)))),
inference(resolve,[$cnf( $equal(not(or(not(xor(t7,or(a,t7))),t4)),not(or(t4,not(xor(t7,or(a,t7)))))) )],[refute_0_10920,refute_0_10922]) ).
cnf(refute_0_10924,plain,
not(or(t4,not(xor(t7,or(a,t7))))) = and(not(t4),xor(t7,or(a,t7))),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(t7,or(a,t7)))),bind(X_25,$fot(t4))]]) ).
cnf(refute_0_10925,plain,
( not(or(not(xor(t7,or(a,t7))),t4)) != not(or(t4,not(xor(t7,or(a,t7)))))
| not(or(t4,not(xor(t7,or(a,t7))))) != and(not(t4),xor(t7,or(a,t7)))
| not(or(not(xor(t7,or(a,t7))),t4)) = and(not(t4),xor(t7,or(a,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(not(xor(t7,or(a,t7))),t4)))),bind(Y0,$fot(not(or(t4,not(xor(t7,or(a,t7))))))),bind(Z0,$fot(and(not(t4),xor(t7,or(a,t7)))))]]) ).
cnf(refute_0_10926,plain,
( not(or(t4,not(xor(t7,or(a,t7))))) != and(not(t4),xor(t7,or(a,t7)))
| not(or(not(xor(t7,or(a,t7))),t4)) = and(not(t4),xor(t7,or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(or(not(xor(t7,or(a,t7))),t4)),not(or(t4,not(xor(t7,or(a,t7)))))) )],[refute_0_10920,refute_0_10925]) ).
cnf(refute_0_10927,plain,
not(or(not(xor(t7,or(a,t7))),t4)) = and(not(t4),xor(t7,or(a,t7))),
inference(resolve,[$cnf( $equal(not(or(t4,not(xor(t7,or(a,t7))))),and(not(t4),xor(t7,or(a,t7)))) )],[refute_0_10924,refute_0_10926]) ).
cnf(refute_0_10928,plain,
( not(or(not(xor(t7,or(a,t7))),t4)) != and(not(t4),xor(t7,or(a,t7)))
| not(or(not(xor(t7,or(a,t7))),t4)) != not(not(xor(t7,or(a,t7))))
| and(not(t4),xor(t7,or(a,t7))) = not(not(xor(t7,or(a,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(xor(t7,or(a,t7))),t4)),not(not(xor(t7,or(a,t7))))) ),[0],$fot(and(not(t4),xor(t7,or(a,t7))))]]) ).
cnf(refute_0_10929,plain,
( not(or(not(xor(t7,or(a,t7))),t4)) != not(not(xor(t7,or(a,t7))))
| and(not(t4),xor(t7,or(a,t7))) = not(not(xor(t7,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(not(or(not(xor(t7,or(a,t7))),t4)),and(not(t4),xor(t7,or(a,t7)))) )],[refute_0_10927,refute_0_10928]) ).
cnf(refute_0_10930,plain,
not(not(xor(t7,or(a,t7)))) = xor(t7,or(a,t7)),
inference(subst,[],[not_involution:[bind(X,$fot(xor(t7,or(a,t7))))]]) ).
cnf(refute_0_10931,plain,
( and(not(t4),xor(t7,or(a,t7))) != not(not(xor(t7,or(a,t7))))
| not(not(xor(t7,or(a,t7)))) != xor(t7,or(a,t7))
| and(not(t4),xor(t7,or(a,t7))) = xor(t7,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(t4),xor(t7,or(a,t7))),xor(t7,or(a,t7))) ),[0],$fot(not(not(xor(t7,or(a,t7)))))]]) ).
cnf(refute_0_10932,plain,
( and(not(t4),xor(t7,or(a,t7))) != not(not(xor(t7,or(a,t7))))
| and(not(t4),xor(t7,or(a,t7))) = xor(t7,or(a,t7)) ),
inference(resolve,[$cnf( $equal(not(not(xor(t7,or(a,t7)))),xor(t7,or(a,t7))) )],[refute_0_10930,refute_0_10931]) ).
cnf(refute_0_10933,plain,
( not(or(not(xor(t7,or(a,t7))),t4)) != not(not(xor(t7,or(a,t7))))
| and(not(t4),xor(t7,or(a,t7))) = xor(t7,or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(not(t4),xor(t7,or(a,t7))),not(not(xor(t7,or(a,t7))))) )],[refute_0_10929,refute_0_10932]) ).
cnf(refute_0_10934,plain,
and(not(t4),xor(t7,or(a,t7))) = xor(t7,or(a,t7)),
inference(resolve,[$cnf( $equal(not(or(not(xor(t7,or(a,t7))),t4)),not(not(xor(t7,or(a,t7))))) )],[refute_0_10923,refute_0_10933]) ).
cnf(refute_0_10935,plain,
( and(not(t4),xor(t7,or(a,t7))) != xor(t7,or(a,t7))
| not(or(t4,not(xor(t7,or(a,t7))))) != and(not(t4),xor(t7,or(a,t7)))
| not(or(t4,not(xor(t7,or(a,t7))))) = xor(t7,or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(t4,not(xor(t7,or(a,t7))))))),bind(Y0,$fot(and(not(t4),xor(t7,or(a,t7))))),bind(Z0,$fot(xor(t7,or(a,t7))))]]) ).
cnf(refute_0_10936,plain,
( and(not(t4),xor(t7,or(a,t7))) != xor(t7,or(a,t7))
| not(or(t4,not(xor(t7,or(a,t7))))) = xor(t7,or(a,t7)) ),
inference(resolve,[$cnf( $equal(not(or(t4,not(xor(t7,or(a,t7))))),and(not(t4),xor(t7,or(a,t7)))) )],[refute_0_10924,refute_0_10935]) ).
cnf(refute_0_10937,plain,
not(or(t4,not(xor(t7,or(a,t7))))) = xor(t7,or(a,t7)),
inference(resolve,[$cnf( $equal(and(not(t4),xor(t7,or(a,t7))),xor(t7,or(a,t7))) )],[refute_0_10934,refute_0_10936]) ).
cnf(refute_0_10938,plain,
( not(or(t4,not(xor(t7,or(a,t7))))) != and(t5,not(not(xor(t7,or(a,t7)))))
| not(or(t4,not(xor(t7,or(a,t7))))) != xor(t7,or(a,t7))
| xor(t7,or(a,t7)) = and(t5,not(not(xor(t7,or(a,t7))))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t4,not(xor(t7,or(a,t7))))),and(t5,not(not(xor(t7,or(a,t7)))))) ),[0],$fot(xor(t7,or(a,t7)))]]) ).
cnf(refute_0_10939,plain,
( not(or(t4,not(xor(t7,or(a,t7))))) != and(t5,not(not(xor(t7,or(a,t7)))))
| xor(t7,or(a,t7)) = and(t5,not(not(xor(t7,or(a,t7))))) ),
inference(resolve,[$cnf( $equal(not(or(t4,not(xor(t7,or(a,t7))))),xor(t7,or(a,t7))) )],[refute_0_10937,refute_0_10938]) ).
cnf(refute_0_10940,plain,
and(t5,not(not(xor(t7,or(a,t7))))) = and(t5,not(not(xor(t7,or(a,t7))))),
introduced(tautology,[refl,[$fot(and(t5,not(not(xor(t7,or(a,t7))))))]]) ).
cnf(refute_0_10941,plain,
( and(t5,not(not(xor(t7,or(a,t7))))) != and(t5,not(not(xor(t7,or(a,t7)))))
| not(not(xor(t7,or(a,t7)))) != xor(t7,or(a,t7))
| and(t5,not(not(xor(t7,or(a,t7))))) = and(t5,xor(t7,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,not(not(xor(t7,or(a,t7))))),and(t5,not(not(xor(t7,or(a,t7)))))) ),[1,1],$fot(xor(t7,or(a,t7)))]]) ).
cnf(refute_0_10942,plain,
( not(not(xor(t7,or(a,t7)))) != xor(t7,or(a,t7))
| and(t5,not(not(xor(t7,or(a,t7))))) = and(t5,xor(t7,or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(t5,not(not(xor(t7,or(a,t7))))),and(t5,not(not(xor(t7,or(a,t7)))))) )],[refute_0_10940,refute_0_10941]) ).
cnf(refute_0_10943,plain,
and(t5,not(not(xor(t7,or(a,t7))))) = and(t5,xor(t7,or(a,t7))),
inference(resolve,[$cnf( $equal(not(not(xor(t7,or(a,t7)))),xor(t7,or(a,t7))) )],[refute_0_10930,refute_0_10942]) ).
cnf(refute_0_10944,plain,
( and(t5,not(not(xor(t7,or(a,t7))))) != and(t5,xor(t7,or(a,t7)))
| xor(t7,or(a,t7)) != and(t5,not(not(xor(t7,or(a,t7)))))
| xor(t7,or(a,t7)) = and(t5,xor(t7,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t7,or(a,t7)),and(t5,not(not(xor(t7,or(a,t7)))))) ),[1],$fot(and(t5,xor(t7,or(a,t7))))]]) ).
cnf(refute_0_10945,plain,
( xor(t7,or(a,t7)) != and(t5,not(not(xor(t7,or(a,t7)))))
| xor(t7,or(a,t7)) = and(t5,xor(t7,or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(t5,not(not(xor(t7,or(a,t7))))),and(t5,xor(t7,or(a,t7)))) )],[refute_0_10943,refute_0_10944]) ).
cnf(refute_0_10946,plain,
( not(or(t4,not(xor(t7,or(a,t7))))) != and(t5,not(not(xor(t7,or(a,t7)))))
| xor(t7,or(a,t7)) = and(t5,xor(t7,or(a,t7))) ),
inference(resolve,[$cnf( $equal(xor(t7,or(a,t7)),and(t5,not(not(xor(t7,or(a,t7)))))) )],[refute_0_10939,refute_0_10945]) ).
cnf(refute_0_10947,plain,
xor(t7,or(a,t7)) = and(t5,xor(t7,or(a,t7))),
inference(resolve,[$cnf( $equal(not(or(t4,not(xor(t7,or(a,t7))))),and(t5,not(not(xor(t7,or(a,t7)))))) )],[refute_0_10919,refute_0_10946]) ).
cnf(refute_0_10948,plain,
( xor(t7,or(a,t7)) != and(carry,not(t7))
| xor(t7,or(a,t7)) != and(t5,xor(t7,or(a,t7)))
| and(carry,not(t7)) = and(t5,xor(t7,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t7,or(a,t7)),and(t5,xor(t7,or(a,t7)))) ),[0],$fot(and(carry,not(t7)))]]) ).
cnf(refute_0_10949,plain,
( xor(t7,or(a,t7)) != and(t5,xor(t7,or(a,t7)))
| and(carry,not(t7)) = and(t5,xor(t7,or(a,t7))) ),
inference(resolve,[$cnf( $equal(xor(t7,or(a,t7)),and(carry,not(t7))) )],[refute_0_8428,refute_0_10948]) ).
cnf(refute_0_10950,plain,
and(not(t1),not(t7)) = not(or(t1,t7)),
inference(subst,[],[refute_0_101:[bind(X,$fot(t1)),bind(Y,$fot(t7))]]) ).
cnf(refute_0_10951,plain,
and(and(carry,t5),Z) = and(carry,and(t5,Z)),
inference(subst,[],[and_associative:[bind(X,$fot(carry)),bind(Y,$fot(t5))]]) ).
cnf(refute_0_10952,plain,
( and(and(carry,t5),Z) != and(carry,and(t5,Z))
| and(carry,t5) != not(t1)
| and(not(t1),Z) = and(carry,and(t5,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(carry,t5),Z),and(carry,and(t5,Z))) ),[0,0],$fot(not(t1))]]) ).
cnf(refute_0_10953,plain,
( and(and(carry,t5),Z) != and(carry,and(t5,Z))
| and(not(t1),Z) = and(carry,and(t5,Z)) ),
inference(resolve,[$cnf( $equal(and(carry,t5),not(t1)) )],[refute_0_8966,refute_0_10952]) ).
cnf(refute_0_10954,plain,
and(not(t1),Z) = and(carry,and(t5,Z)),
inference(resolve,[$cnf( $equal(and(and(carry,t5),Z),and(carry,and(t5,Z))) )],[refute_0_10951,refute_0_10953]) ).
cnf(refute_0_10955,plain,
( and(not(t1),Z) != and(carry,and(t5,Z))
| and(carry,and(t5,Z)) = and(not(t1),Z) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t1),Z))),bind(Y0,$fot(and(carry,and(t5,Z))))]]) ).
cnf(refute_0_10956,plain,
and(carry,and(t5,Z)) = and(not(t1),Z),
inference(resolve,[$cnf( $equal(and(not(t1),Z),and(carry,and(t5,Z))) )],[refute_0_10954,refute_0_10955]) ).
cnf(refute_0_10957,plain,
and(carry,and(t5,not(t7))) = and(not(t1),not(t7)),
inference(subst,[],[refute_0_10956:[bind(Z,$fot(not(t7)))]]) ).
cnf(refute_0_10958,plain,
( and(carry,and(t5,not(t7))) != and(not(t1),not(t7))
| and(not(t1),not(t7)) != not(or(t1,t7))
| and(carry,and(t5,not(t7))) = not(or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(carry,and(t5,not(t7))))),bind(Y0,$fot(and(not(t1),not(t7)))),bind(Z0,$fot(not(or(t1,t7))))]]) ).
cnf(refute_0_10959,plain,
( and(not(t1),not(t7)) != not(or(t1,t7))
| and(carry,and(t5,not(t7))) = not(or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(carry,and(t5,not(t7))),and(not(t1),not(t7))) )],[refute_0_10957,refute_0_10958]) ).
cnf(refute_0_10960,plain,
and(carry,and(t5,not(t7))) = not(or(t1,t7)),
inference(resolve,[$cnf( $equal(and(not(t1),not(t7)),not(or(t1,t7))) )],[refute_0_10950,refute_0_10959]) ).
cnf(refute_0_10961,plain,
and(t5,and(carry,not(t7))) = and(carry,and(t5,not(t7))),
inference(subst,[],[refute_0_4220:[bind(X,$fot(carry)),bind(Z,$fot(not(t7))),bind(X_669,$fot(t5))]]) ).
cnf(refute_0_10962,plain,
( and(carry,and(t5,not(t7))) != not(or(t1,t7))
| and(t5,and(carry,not(t7))) != and(carry,and(t5,not(t7)))
| and(t5,and(carry,not(t7))) = not(or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t5,and(carry,not(t7))))),bind(Y0,$fot(and(carry,and(t5,not(t7))))),bind(Z0,$fot(not(or(t1,t7))))]]) ).
cnf(refute_0_10963,plain,
( and(carry,and(t5,not(t7))) != not(or(t1,t7))
| and(t5,and(carry,not(t7))) = not(or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(t5,and(carry,not(t7))),and(carry,and(t5,not(t7)))) )],[refute_0_10961,refute_0_10962]) ).
cnf(refute_0_10964,plain,
and(t5,and(carry,not(t7))) = not(or(t1,t7)),
inference(resolve,[$cnf( $equal(and(carry,and(t5,not(t7))),not(or(t1,t7))) )],[refute_0_10960,refute_0_10963]) ).
cnf(refute_0_10965,plain,
and(t5,xor(t7,or(a,t7))) = and(t5,xor(t7,or(a,t7))),
introduced(tautology,[refl,[$fot(and(t5,xor(t7,or(a,t7))))]]) ).
cnf(refute_0_10966,plain,
( and(t5,xor(t7,or(a,t7))) != and(t5,xor(t7,or(a,t7)))
| xor(t7,or(a,t7)) != and(carry,not(t7))
| and(t5,xor(t7,or(a,t7))) = and(t5,and(carry,not(t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,xor(t7,or(a,t7))),and(t5,xor(t7,or(a,t7)))) ),[1,1],$fot(and(carry,not(t7)))]]) ).
cnf(refute_0_10967,plain,
( xor(t7,or(a,t7)) != and(carry,not(t7))
| and(t5,xor(t7,or(a,t7))) = and(t5,and(carry,not(t7))) ),
inference(resolve,[$cnf( $equal(and(t5,xor(t7,or(a,t7))),and(t5,xor(t7,or(a,t7)))) )],[refute_0_10965,refute_0_10966]) ).
cnf(refute_0_10968,plain,
and(t5,xor(t7,or(a,t7))) = and(t5,and(carry,not(t7))),
inference(resolve,[$cnf( $equal(xor(t7,or(a,t7)),and(carry,not(t7))) )],[refute_0_8428,refute_0_10967]) ).
cnf(refute_0_10969,plain,
( and(t5,and(carry,not(t7))) != not(or(t1,t7))
| and(t5,xor(t7,or(a,t7))) != and(t5,and(carry,not(t7)))
| and(t5,xor(t7,or(a,t7))) = not(or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t5,xor(t7,or(a,t7))))),bind(Y0,$fot(and(t5,and(carry,not(t7))))),bind(Z0,$fot(not(or(t1,t7))))]]) ).
cnf(refute_0_10970,plain,
( and(t5,and(carry,not(t7))) != not(or(t1,t7))
| and(t5,xor(t7,or(a,t7))) = not(or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(t5,xor(t7,or(a,t7))),and(t5,and(carry,not(t7)))) )],[refute_0_10968,refute_0_10969]) ).
cnf(refute_0_10971,plain,
and(t5,xor(t7,or(a,t7))) = not(or(t1,t7)),
inference(resolve,[$cnf( $equal(and(t5,and(carry,not(t7))),not(or(t1,t7))) )],[refute_0_10964,refute_0_10970]) ).
cnf(refute_0_10972,plain,
( and(carry,not(t7)) != and(t5,xor(t7,or(a,t7)))
| and(t5,xor(t7,or(a,t7))) != not(or(t1,t7))
| and(carry,not(t7)) = not(or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(carry,not(t7)),not(or(t1,t7))) ),[0],$fot(and(t5,xor(t7,or(a,t7))))]]) ).
cnf(refute_0_10973,plain,
( and(carry,not(t7)) != and(t5,xor(t7,or(a,t7)))
| and(carry,not(t7)) = not(or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(t5,xor(t7,or(a,t7))),not(or(t1,t7))) )],[refute_0_10971,refute_0_10972]) ).
cnf(refute_0_10974,plain,
( xor(t7,or(a,t7)) != and(t5,xor(t7,or(a,t7)))
| and(carry,not(t7)) = not(or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(carry,not(t7)),and(t5,xor(t7,or(a,t7)))) )],[refute_0_10949,refute_0_10973]) ).
cnf(refute_0_10975,plain,
and(carry,not(t7)) = not(or(t1,t7)),
inference(resolve,[$cnf( $equal(xor(t7,or(a,t7)),and(t5,xor(t7,or(a,t7)))) )],[refute_0_10947,refute_0_10974]) ).
cnf(refute_0_10976,plain,
xor(t6,and(carry,not(t7))) = xor(t6,and(carry,not(t7))),
introduced(tautology,[refl,[$fot(xor(t6,and(carry,not(t7))))]]) ).
cnf(refute_0_10977,plain,
( and(carry,not(t7)) != not(or(t1,t7))
| xor(t6,and(carry,not(t7))) != xor(t6,and(carry,not(t7)))
| xor(t6,and(carry,not(t7))) = xor(t6,not(or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,and(carry,not(t7))),xor(t6,and(carry,not(t7)))) ),[1,1],$fot(not(or(t1,t7)))]]) ).
cnf(refute_0_10978,plain,
( and(carry,not(t7)) != not(or(t1,t7))
| xor(t6,and(carry,not(t7))) = xor(t6,not(or(t1,t7))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(carry,not(t7))),xor(t6,and(carry,not(t7)))) )],[refute_0_10976,refute_0_10977]) ).
cnf(refute_0_10979,plain,
xor(t6,and(carry,not(t7))) = xor(t6,not(or(t1,t7))),
inference(resolve,[$cnf( $equal(and(carry,not(t7)),not(or(t1,t7))) )],[refute_0_10975,refute_0_10978]) ).
cnf(refute_0_10980,plain,
( xor(t6,and(carry,not(t7))) != xor(t6,not(or(t1,t7)))
| xor(t6,not(or(t1,t7))) != and(t6,or(t1,t7))
| xor(t6,and(carry,not(t7))) = and(t6,or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,and(carry,not(t7))))),bind(Y0,$fot(xor(t6,not(or(t1,t7))))),bind(Z0,$fot(and(t6,or(t1,t7))))]]) ).
cnf(refute_0_10981,plain,
( xor(t6,not(or(t1,t7))) != and(t6,or(t1,t7))
| xor(t6,and(carry,not(t7))) = and(t6,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(xor(t6,and(carry,not(t7))),xor(t6,not(or(t1,t7)))) )],[refute_0_10979,refute_0_10980]) ).
cnf(refute_0_10982,plain,
xor(t6,and(carry,not(t7))) = and(t6,or(t1,t7)),
inference(resolve,[$cnf( $equal(xor(t6,not(or(t1,t7))),and(t6,or(t1,t7))) )],[refute_0_10319,refute_0_10981]) ).
cnf(refute_0_10983,plain,
( xor(sum,or(a,t7)) != xor(t6,and(carry,not(t7)))
| xor(t6,and(carry,not(t7))) != and(t6,or(t1,t7))
| xor(sum,or(a,t7)) = and(t6,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(sum,or(a,t7)),and(t6,or(t1,t7))) ),[0],$fot(xor(t6,and(carry,not(t7))))]]) ).
cnf(refute_0_10984,plain,
( xor(sum,or(a,t7)) != xor(t6,and(carry,not(t7)))
| xor(sum,or(a,t7)) = and(t6,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(xor(t6,and(carry,not(t7))),and(t6,or(t1,t7))) )],[refute_0_10982,refute_0_10983]) ).
cnf(refute_0_10985,plain,
xor(sum,or(a,t7)) = and(t6,or(t1,t7)),
inference(resolve,[$cnf( $equal(xor(sum,or(a,t7)),xor(t6,and(carry,not(t7)))) )],[refute_0_9509,refute_0_10984]) ).
cnf(refute_0_10986,plain,
and(not(t7),xor(sum,or(a,t7))) = and(not(t7),xor(sum,or(a,t7))),
introduced(tautology,[refl,[$fot(and(not(t7),xor(sum,or(a,t7))))]]) ).
cnf(refute_0_10987,plain,
( and(not(t7),xor(sum,or(a,t7))) != and(not(t7),xor(sum,or(a,t7)))
| xor(sum,or(a,t7)) != and(t6,or(t1,t7))
| and(not(t7),xor(sum,or(a,t7))) = and(not(t7),and(t6,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t7),xor(sum,or(a,t7))),and(not(t7),xor(sum,or(a,t7)))) ),[1,1],$fot(and(t6,or(t1,t7)))]]) ).
cnf(refute_0_10988,plain,
( xor(sum,or(a,t7)) != and(t6,or(t1,t7))
| and(not(t7),xor(sum,or(a,t7))) = and(not(t7),and(t6,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(and(not(t7),xor(sum,or(a,t7))),and(not(t7),xor(sum,or(a,t7)))) )],[refute_0_10986,refute_0_10987]) ).
cnf(refute_0_10989,plain,
and(not(t7),xor(sum,or(a,t7))) = and(not(t7),and(t6,or(t1,t7))),
inference(resolve,[$cnf( $equal(xor(sum,or(a,t7)),and(t6,or(t1,t7))) )],[refute_0_10985,refute_0_10988]) ).
cnf(refute_0_10990,plain,
( and(not(t7),and(t6,or(t1,t7))) != xor(t7,or(t1,t7))
| and(not(t7),xor(sum,or(a,t7))) != and(not(t7),and(t6,or(t1,t7)))
| and(not(t7),xor(sum,or(a,t7))) = xor(t7,or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t7),xor(sum,or(a,t7))))),bind(Y0,$fot(and(not(t7),and(t6,or(t1,t7))))),bind(Z0,$fot(xor(t7,or(t1,t7))))]]) ).
cnf(refute_0_10991,plain,
( and(not(t7),and(t6,or(t1,t7))) != xor(t7,or(t1,t7))
| and(not(t7),xor(sum,or(a,t7))) = xor(t7,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(not(t7),xor(sum,or(a,t7))),and(not(t7),and(t6,or(t1,t7)))) )],[refute_0_10989,refute_0_10990]) ).
cnf(refute_0_10992,plain,
and(not(t7),xor(sum,or(a,t7))) = xor(t7,or(t1,t7)),
inference(resolve,[$cnf( $equal(and(not(t7),and(t6,or(t1,t7))),xor(t7,or(t1,t7))) )],[refute_0_9506,refute_0_10991]) ).
cnf(refute_0_10993,plain,
xor(t6,and(not(t7),xor(sum,or(a,t7)))) = xor(t6,and(not(t7),xor(sum,or(a,t7)))),
introduced(tautology,[refl,[$fot(xor(t6,and(not(t7),xor(sum,or(a,t7)))))]]) ).
cnf(refute_0_10994,plain,
( and(not(t7),xor(sum,or(a,t7))) != xor(t7,or(t1,t7))
| xor(t6,and(not(t7),xor(sum,or(a,t7)))) != xor(t6,and(not(t7),xor(sum,or(a,t7))))
| xor(t6,and(not(t7),xor(sum,or(a,t7)))) = xor(t6,xor(t7,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,and(not(t7),xor(sum,or(a,t7)))),xor(t6,and(not(t7),xor(sum,or(a,t7))))) ),[1,1],$fot(xor(t7,or(t1,t7)))]]) ).
cnf(refute_0_10995,plain,
( and(not(t7),xor(sum,or(a,t7))) != xor(t7,or(t1,t7))
| xor(t6,and(not(t7),xor(sum,or(a,t7)))) = xor(t6,xor(t7,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(not(t7),xor(sum,or(a,t7)))),xor(t6,and(not(t7),xor(sum,or(a,t7))))) )],[refute_0_10993,refute_0_10994]) ).
cnf(refute_0_10996,plain,
xor(t6,and(not(t7),xor(sum,or(a,t7)))) = xor(t6,xor(t7,or(t1,t7))),
inference(resolve,[$cnf( $equal(and(not(t7),xor(sum,or(a,t7))),xor(t7,or(t1,t7))) )],[refute_0_10992,refute_0_10995]) ).
cnf(refute_0_10997,plain,
( xor(t6,and(not(t7),xor(sum,or(a,t7)))) != xor(t6,xor(t7,or(t1,t7)))
| xor(t6,xor(t7,or(t1,t7))) != xor(sum,or(t1,t7))
| xor(t6,and(not(t7),xor(sum,or(a,t7)))) = xor(sum,or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,and(not(t7),xor(sum,or(a,t7)))))),bind(Y0,$fot(xor(t6,xor(t7,or(t1,t7))))),bind(Z0,$fot(xor(sum,or(t1,t7))))]]) ).
cnf(refute_0_10998,plain,
( xor(t6,xor(t7,or(t1,t7))) != xor(sum,or(t1,t7))
| xor(t6,and(not(t7),xor(sum,or(a,t7)))) = xor(sum,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(xor(t6,and(not(t7),xor(sum,or(a,t7)))),xor(t6,xor(t7,or(t1,t7)))) )],[refute_0_10996,refute_0_10997]) ).
cnf(refute_0_10999,plain,
xor(t6,and(not(t7),xor(sum,or(a,t7)))) = xor(sum,or(t1,t7)),
inference(resolve,[$cnf( $equal(xor(t6,xor(t7,or(t1,t7))),xor(sum,or(t1,t7))) )],[refute_0_9491,refute_0_10998]) ).
cnf(refute_0_11000,plain,
( not(and(sum,t1)) != xor(t6,and(not(t7),xor(sum,or(a,t7))))
| xor(t6,and(not(t7),xor(sum,or(a,t7)))) != xor(sum,or(t1,t7))
| not(and(sum,t1)) = xor(sum,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(sum,t1)),xor(sum,or(t1,t7))) ),[0],$fot(xor(t6,and(not(t7),xor(sum,or(a,t7)))))]]) ).
cnf(refute_0_11001,plain,
( not(and(sum,t1)) != xor(t6,and(not(t7),xor(sum,or(a,t7))))
| not(and(sum,t1)) = xor(sum,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(xor(t6,and(not(t7),xor(sum,or(a,t7)))),xor(sum,or(t1,t7))) )],[refute_0_10999,refute_0_11000]) ).
cnf(refute_0_11002,plain,
not(and(sum,t1)) = xor(sum,or(t1,t7)),
inference(resolve,[$cnf( $equal(not(and(sum,t1)),xor(t6,and(not(t7),xor(sum,or(a,t7))))) )],[refute_0_9490,refute_0_11001]) ).
cnf(refute_0_11003,plain,
( not(and(sum,t1)) != xor(sum,or(t1,t7))
| xor(sum,or(t1,t7)) = not(and(sum,t1)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(sum,t1)))),bind(Y0,$fot(xor(sum,or(t1,t7))))]]) ).
cnf(refute_0_11004,plain,
xor(sum,or(t1,t7)) = not(and(sum,t1)),
inference(resolve,[$cnf( $equal(not(and(sum,t1)),xor(sum,or(t1,t7))) )],[refute_0_11002,refute_0_11003]) ).
cnf(refute_0_11005,plain,
or(t1,and(t3,X_820)) = and(or(t1,t3),or(t1,X_820)),
inference(subst,[],[and_distributive:[bind(X,$fot(t1)),bind(Y,$fot(t3)),bind(Z,$fot(X_820))]]) ).
cnf(refute_0_11006,plain,
ll1 = or(t3,or(not(a),X_40)),
inference(subst,[],[refute_0_1660:[bind(X_39,$fot(X_40))]]) ).
cnf(refute_0_11007,plain,
or(X_40,not(a)) = or(not(a),X_40),
inference(subst,[],[or_commutative:[bind(X,$fot(X_40)),bind(Y,$fot(not(a)))]]) ).
cnf(refute_0_11008,plain,
( or(X_40,not(a)) != or(not(a),X_40)
| or(not(a),X_40) = or(X_40,not(a)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(X_40,not(a)))),bind(Y0,$fot(or(not(a),X_40)))]]) ).
cnf(refute_0_11009,plain,
or(not(a),X_40) = or(X_40,not(a)),
inference(resolve,[$cnf( $equal(or(X_40,not(a)),or(not(a),X_40)) )],[refute_0_11007,refute_0_11008]) ).
cnf(refute_0_11010,plain,
( ll1 != or(t3,or(not(a),X_40))
| or(not(a),X_40) != or(X_40,not(a))
| ll1 = or(t3,or(X_40,not(a))) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t3,or(not(a),X_40))) ),[1,1],$fot(or(X_40,not(a)))]]) ).
cnf(refute_0_11011,plain,
( ll1 != or(t3,or(not(a),X_40))
| ll1 = or(t3,or(X_40,not(a))) ),
inference(resolve,[$cnf( $equal(or(not(a),X_40),or(X_40,not(a))) )],[refute_0_11009,refute_0_11010]) ).
cnf(refute_0_11012,plain,
ll1 = or(t3,or(X_40,not(a))),
inference(resolve,[$cnf( $equal(ll1,or(t3,or(not(a),X_40))) )],[refute_0_11006,refute_0_11011]) ).
cnf(refute_0_11013,plain,
ll1 = or(t3,or(t1,not(a))),
inference(subst,[],[refute_0_11012:[bind(X_40,$fot(t1))]]) ).
cnf(refute_0_11014,plain,
or(t1,and(t1,not(a))) = t1,
inference(subst,[],[or_absorption:[bind(X,$fot(t1)),bind(Y,$fot(not(a)))]]) ).
cnf(refute_0_11015,plain,
( and(t1,not(a)) != not(a)
| or(t1,and(t1,not(a))) != t1
| or(t1,not(a)) = t1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,and(t1,not(a))),t1) ),[0,1],$fot(not(a))]]) ).
cnf(refute_0_11016,plain,
( or(t1,and(t1,not(a))) != t1
| or(t1,not(a)) = t1 ),
inference(resolve,[$cnf( $equal(and(t1,not(a)),not(a)) )],[refute_0_351,refute_0_11015]) ).
cnf(refute_0_11017,plain,
or(t1,not(a)) = t1,
inference(resolve,[$cnf( $equal(or(t1,and(t1,not(a))),t1) )],[refute_0_11014,refute_0_11016]) ).
cnf(refute_0_11018,plain,
( ll1 != or(t3,or(t1,not(a)))
| or(t1,not(a)) != t1
| ll1 = or(t3,t1) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t3,or(t1,not(a)))) ),[1,1],$fot(t1)]]) ).
cnf(refute_0_11019,plain,
( ll1 != or(t3,or(t1,not(a)))
| ll1 = or(t3,t1) ),
inference(resolve,[$cnf( $equal(or(t1,not(a)),t1) )],[refute_0_11017,refute_0_11018]) ).
cnf(refute_0_11020,plain,
ll1 = or(t3,t1),
inference(resolve,[$cnf( $equal(ll1,or(t3,or(t1,not(a)))) )],[refute_0_11013,refute_0_11019]) ).
cnf(refute_0_11021,plain,
or(t3,t1) = or(t1,t3),
inference(subst,[],[refute_0_5:[bind(X,$fot(t1)),bind(Y,$fot(t3))]]) ).
cnf(refute_0_11022,plain,
( ll1 != or(t3,t1)
| or(t3,t1) != or(t1,t3)
| ll1 = or(t1,t3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll1,or(t1,t3)) ),[0],$fot(or(t3,t1))]]) ).
cnf(refute_0_11023,plain,
( ll1 != or(t3,t1)
| ll1 = or(t1,t3) ),
inference(resolve,[$cnf( $equal(or(t3,t1),or(t1,t3)) )],[refute_0_11021,refute_0_11022]) ).
cnf(refute_0_11024,plain,
ll1 = or(t1,t3),
inference(resolve,[$cnf( $equal(ll1,or(t3,t1)) )],[refute_0_11020,refute_0_11023]) ).
cnf(refute_0_11025,plain,
( ll1 != or(t1,t3)
| or(t1,t3) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(t1,t3)))]]) ).
cnf(refute_0_11026,plain,
or(t1,t3) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(t1,t3)) )],[refute_0_11024,refute_0_11025]) ).
cnf(refute_0_11027,plain,
( or(t1,and(t3,X_820)) != and(or(t1,t3),or(t1,X_820))
| or(t1,t3) != ll1
| or(t1,and(t3,X_820)) = and(ll1,or(t1,X_820)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,and(t3,X_820)),and(or(t1,t3),or(t1,X_820))) ),[1,0],$fot(ll1)]]) ).
cnf(refute_0_11028,plain,
( or(t1,and(t3,X_820)) != and(or(t1,t3),or(t1,X_820))
| or(t1,and(t3,X_820)) = and(ll1,or(t1,X_820)) ),
inference(resolve,[$cnf( $equal(or(t1,t3),ll1) )],[refute_0_11026,refute_0_11027]) ).
cnf(refute_0_11029,plain,
or(t1,and(t3,X_820)) = and(ll1,or(t1,X_820)),
inference(resolve,[$cnf( $equal(or(t1,and(t3,X_820)),and(or(t1,t3),or(t1,X_820))) )],[refute_0_11005,refute_0_11028]) ).
cnf(refute_0_11030,plain,
and(ll1,or(t1,X_820)) = or(t1,X_820),
inference(subst,[],[refute_0_64:[bind(X,$fot(or(t1,X_820)))]]) ).
cnf(refute_0_11031,plain,
( and(ll1,or(t1,X_820)) != or(t1,X_820)
| or(t1,and(t3,X_820)) != and(ll1,or(t1,X_820))
| or(t1,and(t3,X_820)) = or(t1,X_820) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,and(t3,X_820)),and(ll1,or(t1,X_820))) ),[1],$fot(or(t1,X_820))]]) ).
cnf(refute_0_11032,plain,
( or(t1,and(t3,X_820)) != and(ll1,or(t1,X_820))
| or(t1,and(t3,X_820)) = or(t1,X_820) ),
inference(resolve,[$cnf( $equal(and(ll1,or(t1,X_820)),or(t1,X_820)) )],[refute_0_11030,refute_0_11031]) ).
cnf(refute_0_11033,plain,
or(t1,and(t3,X_820)) = or(t1,X_820),
inference(resolve,[$cnf( $equal(or(t1,and(t3,X_820)),and(ll1,or(t1,X_820))) )],[refute_0_11029,refute_0_11032]) ).
cnf(refute_0_11034,plain,
or(t1,and(t3,t7)) = or(t1,t7),
inference(subst,[],[refute_0_11033:[bind(X_820,$fot(t7))]]) ).
cnf(refute_0_11035,plain,
xor(sum,or(t1,and(t3,t7))) = xor(sum,or(t1,and(t3,t7))),
introduced(tautology,[refl,[$fot(xor(sum,or(t1,and(t3,t7))))]]) ).
cnf(refute_0_11036,plain,
( or(t1,and(t3,t7)) != or(t1,t7)
| xor(sum,or(t1,and(t3,t7))) != xor(sum,or(t1,and(t3,t7)))
| xor(sum,or(t1,and(t3,t7))) = xor(sum,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,or(t1,and(t3,t7))),xor(sum,or(t1,and(t3,t7)))) ),[1,1],$fot(or(t1,t7))]]) ).
cnf(refute_0_11037,plain,
( or(t1,and(t3,t7)) != or(t1,t7)
| xor(sum,or(t1,and(t3,t7))) = xor(sum,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(xor(sum,or(t1,and(t3,t7))),xor(sum,or(t1,and(t3,t7)))) )],[refute_0_11035,refute_0_11036]) ).
cnf(refute_0_11038,plain,
xor(sum,or(t1,and(t3,t7))) = xor(sum,or(t1,t7)),
inference(resolve,[$cnf( $equal(or(t1,and(t3,t7)),or(t1,t7)) )],[refute_0_11034,refute_0_11037]) ).
cnf(refute_0_11039,plain,
( xor(sum,or(t1,and(t3,t7))) != xor(sum,or(t1,t7))
| xor(sum,or(t1,t7)) != not(and(sum,t1))
| xor(sum,or(t1,and(t3,t7))) = not(and(sum,t1)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(sum,or(t1,and(t3,t7))))),bind(Y0,$fot(xor(sum,or(t1,t7)))),bind(Z0,$fot(not(and(sum,t1))))]]) ).
cnf(refute_0_11040,plain,
( xor(sum,or(t1,t7)) != not(and(sum,t1))
| xor(sum,or(t1,and(t3,t7))) = not(and(sum,t1)) ),
inference(resolve,[$cnf( $equal(xor(sum,or(t1,and(t3,t7))),xor(sum,or(t1,t7))) )],[refute_0_11038,refute_0_11039]) ).
cnf(refute_0_11041,plain,
xor(sum,or(t1,and(t3,t7))) = not(and(sum,t1)),
inference(resolve,[$cnf( $equal(xor(sum,or(t1,t7)),not(and(sum,t1))) )],[refute_0_11004,refute_0_11040]) ).
cnf(refute_0_11042,plain,
not(xor(sum,or(t1,and(t3,t7)))) = not(xor(sum,or(t1,and(t3,t7)))),
introduced(tautology,[refl,[$fot(not(xor(sum,or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_11043,plain,
( not(xor(sum,or(t1,and(t3,t7)))) != not(xor(sum,or(t1,and(t3,t7))))
| xor(sum,or(t1,and(t3,t7))) != not(and(sum,t1))
| not(xor(sum,or(t1,and(t3,t7)))) = not(not(and(sum,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(sum,or(t1,and(t3,t7)))),not(xor(sum,or(t1,and(t3,t7))))) ),[1,0],$fot(not(and(sum,t1)))]]) ).
cnf(refute_0_11044,plain,
( xor(sum,or(t1,and(t3,t7))) != not(and(sum,t1))
| not(xor(sum,or(t1,and(t3,t7)))) = not(not(and(sum,t1))) ),
inference(resolve,[$cnf( $equal(not(xor(sum,or(t1,and(t3,t7)))),not(xor(sum,or(t1,and(t3,t7))))) )],[refute_0_11042,refute_0_11043]) ).
cnf(refute_0_11045,plain,
not(xor(sum,or(t1,and(t3,t7)))) = not(not(and(sum,t1))),
inference(resolve,[$cnf( $equal(xor(sum,or(t1,and(t3,t7))),not(and(sum,t1))) )],[refute_0_11041,refute_0_11044]) ).
cnf(refute_0_11046,plain,
( not(not(and(sum,t1))) != and(sum,t1)
| not(xor(sum,or(t1,and(t3,t7)))) != not(not(and(sum,t1)))
| not(xor(sum,or(t1,and(t3,t7)))) = and(sum,t1) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(sum,or(t1,and(t3,t7)))))),bind(Y0,$fot(not(not(and(sum,t1))))),bind(Z0,$fot(and(sum,t1)))]]) ).
cnf(refute_0_11047,plain,
( not(not(and(sum,t1))) != and(sum,t1)
| not(xor(sum,or(t1,and(t3,t7)))) = and(sum,t1) ),
inference(resolve,[$cnf( $equal(not(xor(sum,or(t1,and(t3,t7)))),not(not(and(sum,t1)))) )],[refute_0_11045,refute_0_11046]) ).
cnf(refute_0_11048,plain,
not(xor(sum,or(t1,and(t3,t7)))) = and(sum,t1),
inference(resolve,[$cnf( $equal(not(not(and(sum,t1))),and(sum,t1)) )],[refute_0_8491,refute_0_11047]) ).
cnf(refute_0_11049,plain,
and(t6,not(xor(sum,or(t1,and(t3,t7))))) = and(t6,not(xor(sum,or(t1,and(t3,t7))))),
introduced(tautology,[refl,[$fot(and(t6,not(xor(sum,or(t1,and(t3,t7))))))]]) ).
cnf(refute_0_11050,plain,
( and(t6,not(xor(sum,or(t1,and(t3,t7))))) != and(t6,not(xor(sum,or(t1,and(t3,t7)))))
| not(xor(sum,or(t1,and(t3,t7)))) != and(sum,t1)
| and(t6,not(xor(sum,or(t1,and(t3,t7))))) = and(t6,and(sum,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(xor(sum,or(t1,and(t3,t7))))),and(t6,not(xor(sum,or(t1,and(t3,t7)))))) ),[1,1],$fot(and(sum,t1))]]) ).
cnf(refute_0_11051,plain,
( not(xor(sum,or(t1,and(t3,t7)))) != and(sum,t1)
| and(t6,not(xor(sum,or(t1,and(t3,t7))))) = and(t6,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(sum,or(t1,and(t3,t7))))),and(t6,not(xor(sum,or(t1,and(t3,t7)))))) )],[refute_0_11049,refute_0_11050]) ).
cnf(refute_0_11052,plain,
and(t6,not(xor(sum,or(t1,and(t3,t7))))) = and(t6,and(sum,t1)),
inference(resolve,[$cnf( $equal(not(xor(sum,or(t1,and(t3,t7)))),and(sum,t1)) )],[refute_0_11048,refute_0_11051]) ).
cnf(refute_0_11053,plain,
( and(t6,and(sum,t1)) != and(sum,and(t1,t6))
| and(t6,not(xor(sum,or(t1,and(t3,t7))))) != and(t6,and(sum,t1))
| and(t6,not(xor(sum,or(t1,and(t3,t7))))) = and(sum,and(t1,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t6,not(xor(sum,or(t1,and(t3,t7))))))),bind(Y0,$fot(and(t6,and(sum,t1)))),bind(Z0,$fot(and(sum,and(t1,t6))))]]) ).
cnf(refute_0_11054,plain,
( and(t6,and(sum,t1)) != and(sum,and(t1,t6))
| and(t6,not(xor(sum,or(t1,and(t3,t7))))) = and(sum,and(t1,t6)) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(sum,or(t1,and(t3,t7))))),and(t6,and(sum,t1))) )],[refute_0_11052,refute_0_11053]) ).
cnf(refute_0_11055,plain,
and(t6,not(xor(sum,or(t1,and(t3,t7))))) = and(sum,and(t1,t6)),
inference(resolve,[$cnf( $equal(and(t6,and(sum,t1)),and(sum,and(t1,t6))) )],[refute_0_8490,refute_0_11054]) ).
cnf(refute_0_11056,plain,
( and(t6,not(xor(sum,or(t1,and(t3,t7))))) != and(sum,and(t1,t6))
| and(t6,not(xor(sum,or(t1,and(t3,t7))))) != xor(t7,or(t1,and(t3,t7)))
| and(sum,and(t1,t6)) = xor(t7,or(t1,and(t3,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(xor(sum,or(t1,and(t3,t7))))),xor(t7,or(t1,and(t3,t7)))) ),[0],$fot(and(sum,and(t1,t6)))]]) ).
cnf(refute_0_11057,plain,
( and(t6,not(xor(sum,or(t1,and(t3,t7))))) != xor(t7,or(t1,and(t3,t7)))
| and(sum,and(t1,t6)) = xor(t7,or(t1,and(t3,t7))) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(sum,or(t1,and(t3,t7))))),and(sum,and(t1,t6))) )],[refute_0_11055,refute_0_11056]) ).
cnf(refute_0_11058,plain,
xor(t7,or(t1,and(t3,t7))) = xor(t7,or(t1,and(t3,t7))),
introduced(tautology,[refl,[$fot(xor(t7,or(t1,and(t3,t7))))]]) ).
cnf(refute_0_11059,plain,
( or(t1,and(t3,t7)) != or(t1,t7)
| xor(t7,or(t1,and(t3,t7))) != xor(t7,or(t1,and(t3,t7)))
| xor(t7,or(t1,and(t3,t7))) = xor(t7,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t7,or(t1,and(t3,t7))),xor(t7,or(t1,and(t3,t7)))) ),[1,1],$fot(or(t1,t7))]]) ).
cnf(refute_0_11060,plain,
( or(t1,and(t3,t7)) != or(t1,t7)
| xor(t7,or(t1,and(t3,t7))) = xor(t7,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(xor(t7,or(t1,and(t3,t7))),xor(t7,or(t1,and(t3,t7)))) )],[refute_0_11058,refute_0_11059]) ).
cnf(refute_0_11061,plain,
xor(t7,or(t1,and(t3,t7))) = xor(t7,or(t1,t7)),
inference(resolve,[$cnf( $equal(or(t1,and(t3,t7)),or(t1,t7)) )],[refute_0_11034,refute_0_11060]) ).
cnf(refute_0_11062,plain,
( and(sum,and(t1,t6)) != xor(t7,or(t1,and(t3,t7)))
| xor(t7,or(t1,and(t3,t7))) != xor(t7,or(t1,t7))
| and(sum,and(t1,t6)) = xor(t7,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(sum,and(t1,t6)),xor(t7,or(t1,t7))) ),[0],$fot(xor(t7,or(t1,and(t3,t7))))]]) ).
cnf(refute_0_11063,plain,
( and(sum,and(t1,t6)) != xor(t7,or(t1,and(t3,t7)))
| and(sum,and(t1,t6)) = xor(t7,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(xor(t7,or(t1,and(t3,t7))),xor(t7,or(t1,t7))) )],[refute_0_11061,refute_0_11062]) ).
cnf(refute_0_11064,plain,
( and(t6,not(xor(sum,or(t1,and(t3,t7))))) != xor(t7,or(t1,and(t3,t7)))
| and(sum,and(t1,t6)) = xor(t7,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(sum,and(t1,t6)),xor(t7,or(t1,and(t3,t7)))) )],[refute_0_11057,refute_0_11063]) ).
cnf(refute_0_11065,plain,
and(sum,and(t1,t6)) = xor(t7,or(t1,t7)),
inference(resolve,[$cnf( $equal(and(t6,not(xor(sum,or(t1,and(t3,t7))))),xor(t7,or(t1,and(t3,t7)))) )],[refute_0_7468,refute_0_11064]) ).
cnf(refute_0_11066,plain,
and(xor(t7,or(t1,and(t3,t7))),or(not(t7),xor(t7,or(t1,and(t3,t7))))) = xor(t7,or(t1,and(t3,t7))),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(xor(t7,or(t1,and(t3,t7))))),bind(X_20,$fot(not(t7)))]]) ).
cnf(refute_0_11067,plain,
or(not(t7),and(not(t7),or(t1,and(t3,t7)))) = not(t7),
inference(subst,[],[or_absorption:[bind(X,$fot(not(t7))),bind(Y,$fot(or(t1,and(t3,t7))))]]) ).
cnf(refute_0_11068,plain,
( and(not(t7),or(t1,and(t3,t7))) != xor(t7,or(t1,and(t3,t7)))
| or(not(t7),and(not(t7),or(t1,and(t3,t7)))) != not(t7)
| or(not(t7),xor(t7,or(t1,and(t3,t7)))) = not(t7) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t7),and(not(t7),or(t1,and(t3,t7)))),not(t7)) ),[0,1],$fot(xor(t7,or(t1,and(t3,t7))))]]) ).
cnf(refute_0_11069,plain,
( or(not(t7),and(not(t7),or(t1,and(t3,t7)))) != not(t7)
| or(not(t7),xor(t7,or(t1,and(t3,t7)))) = not(t7) ),
inference(resolve,[$cnf( $equal(and(not(t7),or(t1,and(t3,t7))),xor(t7,or(t1,and(t3,t7)))) )],[refute_0_5648,refute_0_11068]) ).
cnf(refute_0_11070,plain,
or(not(t7),xor(t7,or(t1,and(t3,t7)))) = not(t7),
inference(resolve,[$cnf( $equal(or(not(t7),and(not(t7),or(t1,and(t3,t7)))),not(t7)) )],[refute_0_11067,refute_0_11069]) ).
cnf(refute_0_11071,plain,
( and(xor(t7,or(t1,and(t3,t7))),or(not(t7),xor(t7,or(t1,and(t3,t7))))) != xor(t7,or(t1,and(t3,t7)))
| or(not(t7),xor(t7,or(t1,and(t3,t7)))) != not(t7)
| and(xor(t7,or(t1,and(t3,t7))),not(t7)) = xor(t7,or(t1,and(t3,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t7,or(t1,and(t3,t7))),or(not(t7),xor(t7,or(t1,and(t3,t7))))),xor(t7,or(t1,and(t3,t7)))) ),[0,1],$fot(not(t7))]]) ).
cnf(refute_0_11072,plain,
( and(xor(t7,or(t1,and(t3,t7))),or(not(t7),xor(t7,or(t1,and(t3,t7))))) != xor(t7,or(t1,and(t3,t7)))
| and(xor(t7,or(t1,and(t3,t7))),not(t7)) = xor(t7,or(t1,and(t3,t7))) ),
inference(resolve,[$cnf( $equal(or(not(t7),xor(t7,or(t1,and(t3,t7)))),not(t7)) )],[refute_0_11070,refute_0_11071]) ).
cnf(refute_0_11073,plain,
and(xor(t7,or(t1,and(t3,t7))),not(t7)) = xor(t7,or(t1,and(t3,t7))),
inference(resolve,[$cnf( $equal(and(xor(t7,or(t1,and(t3,t7))),or(not(t7),xor(t7,or(t1,and(t3,t7))))),xor(t7,or(t1,and(t3,t7)))) )],[refute_0_11066,refute_0_11072]) ).
cnf(refute_0_11074,plain,
and(xor(t7,or(t1,and(t3,t7))),not(t7)) = and(not(t7),xor(t7,or(t1,and(t3,t7)))),
inference(subst,[],[refute_0_116:[bind(X,$fot(not(t7))),bind(Y,$fot(xor(t7,or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_11075,plain,
( and(xor(t7,or(t1,and(t3,t7))),not(t7)) != and(not(t7),xor(t7,or(t1,and(t3,t7))))
| and(xor(t7,or(t1,and(t3,t7))),not(t7)) != xor(t7,or(t1,and(t3,t7)))
| and(not(t7),xor(t7,or(t1,and(t3,t7)))) = xor(t7,or(t1,and(t3,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t7,or(t1,and(t3,t7))),not(t7)),xor(t7,or(t1,and(t3,t7)))) ),[0],$fot(and(not(t7),xor(t7,or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_11076,plain,
( and(xor(t7,or(t1,and(t3,t7))),not(t7)) != xor(t7,or(t1,and(t3,t7)))
| and(not(t7),xor(t7,or(t1,and(t3,t7)))) = xor(t7,or(t1,and(t3,t7))) ),
inference(resolve,[$cnf( $equal(and(xor(t7,or(t1,and(t3,t7))),not(t7)),and(not(t7),xor(t7,or(t1,and(t3,t7))))) )],[refute_0_11074,refute_0_11075]) ).
cnf(refute_0_11077,plain,
and(not(t7),xor(t7,or(t1,and(t3,t7)))) = xor(t7,or(t1,and(t3,t7))),
inference(resolve,[$cnf( $equal(and(xor(t7,or(t1,and(t3,t7))),not(t7)),xor(t7,or(t1,and(t3,t7)))) )],[refute_0_11073,refute_0_11076]) ).
cnf(refute_0_11078,plain,
and(not(t7),xor(t7,or(t1,and(t3,t7)))) = and(not(t7),xor(t7,or(t1,and(t3,t7)))),
introduced(tautology,[refl,[$fot(and(not(t7),xor(t7,or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_11079,plain,
( and(not(t7),xor(t7,or(t1,and(t3,t7)))) != and(not(t7),xor(t7,or(t1,and(t3,t7))))
| xor(t7,or(t1,and(t3,t7))) != xor(t7,or(t1,t7))
| and(not(t7),xor(t7,or(t1,and(t3,t7)))) = and(not(t7),xor(t7,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t7),xor(t7,or(t1,and(t3,t7)))),and(not(t7),xor(t7,or(t1,and(t3,t7))))) ),[1,1],$fot(xor(t7,or(t1,t7)))]]) ).
cnf(refute_0_11080,plain,
( xor(t7,or(t1,and(t3,t7))) != xor(t7,or(t1,t7))
| and(not(t7),xor(t7,or(t1,and(t3,t7)))) = and(not(t7),xor(t7,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(and(not(t7),xor(t7,or(t1,and(t3,t7)))),and(not(t7),xor(t7,or(t1,and(t3,t7))))) )],[refute_0_11078,refute_0_11079]) ).
cnf(refute_0_11081,plain,
and(not(t7),xor(t7,or(t1,and(t3,t7)))) = and(not(t7),xor(t7,or(t1,t7))),
inference(resolve,[$cnf( $equal(xor(t7,or(t1,and(t3,t7))),xor(t7,or(t1,t7))) )],[refute_0_11061,refute_0_11080]) ).
cnf(refute_0_11082,plain,
( and(not(t7),xor(t7,or(t1,and(t3,t7)))) != and(not(t7),xor(t7,or(t1,t7)))
| and(not(t7),xor(t7,or(t1,and(t3,t7)))) != xor(t7,or(t1,and(t3,t7)))
| and(not(t7),xor(t7,or(t1,t7))) = xor(t7,or(t1,and(t3,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t7),xor(t7,or(t1,and(t3,t7)))),xor(t7,or(t1,and(t3,t7)))) ),[0],$fot(and(not(t7),xor(t7,or(t1,t7))))]]) ).
cnf(refute_0_11083,plain,
( and(not(t7),xor(t7,or(t1,and(t3,t7)))) != xor(t7,or(t1,and(t3,t7)))
| and(not(t7),xor(t7,or(t1,t7))) = xor(t7,or(t1,and(t3,t7))) ),
inference(resolve,[$cnf( $equal(and(not(t7),xor(t7,or(t1,and(t3,t7)))),and(not(t7),xor(t7,or(t1,t7)))) )],[refute_0_11081,refute_0_11082]) ).
cnf(refute_0_11084,plain,
( and(not(t7),xor(t7,or(t1,t7))) != xor(t7,or(t1,and(t3,t7)))
| xor(t7,or(t1,and(t3,t7))) != xor(t7,or(t1,t7))
| and(not(t7),xor(t7,or(t1,t7))) = xor(t7,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(t7),xor(t7,or(t1,t7))),xor(t7,or(t1,t7))) ),[0],$fot(xor(t7,or(t1,and(t3,t7))))]]) ).
cnf(refute_0_11085,plain,
( and(not(t7),xor(t7,or(t1,t7))) != xor(t7,or(t1,and(t3,t7)))
| and(not(t7),xor(t7,or(t1,t7))) = xor(t7,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(xor(t7,or(t1,and(t3,t7))),xor(t7,or(t1,t7))) )],[refute_0_11061,refute_0_11084]) ).
cnf(refute_0_11086,plain,
( and(not(t7),xor(t7,or(t1,and(t3,t7)))) != xor(t7,or(t1,and(t3,t7)))
| and(not(t7),xor(t7,or(t1,t7))) = xor(t7,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(not(t7),xor(t7,or(t1,t7))),xor(t7,or(t1,and(t3,t7)))) )],[refute_0_11083,refute_0_11085]) ).
cnf(refute_0_11087,plain,
and(not(t7),xor(t7,or(t1,t7))) = xor(t7,or(t1,t7)),
inference(resolve,[$cnf( $equal(and(not(t7),xor(t7,or(t1,and(t3,t7)))),xor(t7,or(t1,and(t3,t7)))) )],[refute_0_11077,refute_0_11086]) ).
cnf(refute_0_11088,plain,
and(and(cin,t6),Z) = and(cin,and(t6,Z)),
inference(subst,[],[and_associative:[bind(X,$fot(cin)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_11089,plain,
( and(and(cin,t6),Z) != and(cin,and(t6,Z))
| and(cin,t6) != cin
| and(cin,Z) = and(cin,and(t6,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(cin,t6),Z),and(cin,and(t6,Z))) ),[0,0],$fot(cin)]]) ).
cnf(refute_0_11090,plain,
( and(and(cin,t6),Z) != and(cin,and(t6,Z))
| and(cin,Z) = and(cin,and(t6,Z)) ),
inference(resolve,[$cnf( $equal(and(cin,t6),cin) )],[refute_0_5485,refute_0_11089]) ).
cnf(refute_0_11091,plain,
and(cin,Z) = and(cin,and(t6,Z)),
inference(resolve,[$cnf( $equal(and(and(cin,t6),Z),and(cin,and(t6,Z))) )],[refute_0_11088,refute_0_11090]) ).
cnf(refute_0_11092,plain,
( and(cin,Z) != and(cin,and(t6,Z))
| and(cin,and(t6,Z)) = and(cin,Z) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(cin,Z))),bind(Y0,$fot(and(cin,and(t6,Z))))]]) ).
cnf(refute_0_11093,plain,
and(cin,and(t6,Z)) = and(cin,Z),
inference(resolve,[$cnf( $equal(and(cin,Z),and(cin,and(t6,Z))) )],[refute_0_11091,refute_0_11092]) ).
cnf(refute_0_11094,plain,
and(cin,and(t6,not(carry))) = and(cin,not(carry)),
inference(subst,[],[refute_0_11093:[bind(Z,$fot(not(carry)))]]) ).
cnf(refute_0_11095,plain,
( and(cin,and(t6,not(carry))) != and(cin,not(carry))
| and(cin,not(carry)) != not(or(a,t7))
| and(cin,and(t6,not(carry))) = not(or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(cin,and(t6,not(carry))))),bind(Y0,$fot(and(cin,not(carry)))),bind(Z0,$fot(not(or(a,t7))))]]) ).
cnf(refute_0_11096,plain,
( and(cin,not(carry)) != not(or(a,t7))
| and(cin,and(t6,not(carry))) = not(or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(cin,and(t6,not(carry))),and(cin,not(carry))) )],[refute_0_11094,refute_0_11095]) ).
cnf(refute_0_11097,plain,
and(cin,and(t6,not(carry))) = not(or(a,t7)),
inference(resolve,[$cnf( $equal(and(cin,not(carry)),not(or(a,t7))) )],[refute_0_4166,refute_0_11096]) ).
cnf(refute_0_11098,plain,
and(cin,and(not(carry),t6)) = and(cin,and(t6,not(carry))),
inference(subst,[],[refute_0_2637:[bind(X_220,$fot(cin)),bind(X_221,$fot(t6)),bind(X_222,$fot(not(carry)))]]) ).
cnf(refute_0_11099,plain,
( and(cin,and(not(carry),t6)) != and(cin,and(t6,not(carry)))
| and(cin,and(t6,not(carry))) != not(or(a,t7))
| and(cin,and(not(carry),t6)) = not(or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(cin,and(not(carry),t6)))),bind(Y0,$fot(and(cin,and(t6,not(carry))))),bind(Z0,$fot(not(or(a,t7))))]]) ).
cnf(refute_0_11100,plain,
( and(cin,and(t6,not(carry))) != not(or(a,t7))
| and(cin,and(not(carry),t6)) = not(or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(cin,and(not(carry),t6)),and(cin,and(t6,not(carry)))) )],[refute_0_11098,refute_0_11099]) ).
cnf(refute_0_11101,plain,
and(cin,and(not(carry),t6)) = not(or(a,t7)),
inference(resolve,[$cnf( $equal(and(cin,and(t6,not(carry))),not(or(a,t7))) )],[refute_0_11097,refute_0_11100]) ).
cnf(refute_0_11102,plain,
and(and(cin,not(carry)),Z) = and(cin,and(not(carry),Z)),
inference(subst,[],[and_associative:[bind(X,$fot(cin)),bind(Y,$fot(not(carry)))]]) ).
cnf(refute_0_11103,plain,
( and(and(cin,not(carry)),Z) != and(cin,and(not(carry),Z))
| and(cin,not(carry)) != not(or(carry,t7))
| and(not(or(carry,t7)),Z) = and(cin,and(not(carry),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(cin,not(carry)),Z),and(cin,and(not(carry),Z))) ),[0,0],$fot(not(or(carry,t7)))]]) ).
cnf(refute_0_11104,plain,
( and(and(cin,not(carry)),Z) != and(cin,and(not(carry),Z))
| and(not(or(carry,t7)),Z) = and(cin,and(not(carry),Z)) ),
inference(resolve,[$cnf( $equal(and(cin,not(carry)),not(or(carry,t7))) )],[refute_0_246,refute_0_11103]) ).
cnf(refute_0_11105,plain,
and(not(or(carry,t7)),Z) = and(cin,and(not(carry),Z)),
inference(resolve,[$cnf( $equal(and(and(cin,not(carry)),Z),and(cin,and(not(carry),Z))) )],[refute_0_11102,refute_0_11104]) ).
cnf(refute_0_11106,plain,
and(and(t1,not(t7)),Z) = and(t1,and(not(t7),Z)),
inference(subst,[],[and_associative:[bind(X,$fot(t1)),bind(Y,$fot(not(t7)))]]) ).
cnf(refute_0_11107,plain,
( and(and(t1,not(t7)),Z) != and(t1,and(not(t7),Z))
| and(t1,not(t7)) != not(or(carry,t7))
| and(not(or(carry,t7)),Z) = and(t1,and(not(t7),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t1,not(t7)),Z),and(t1,and(not(t7),Z))) ),[0,0],$fot(not(or(carry,t7)))]]) ).
cnf(refute_0_11108,plain,
( and(and(t1,not(t7)),Z) != and(t1,and(not(t7),Z))
| and(not(or(carry,t7)),Z) = and(t1,and(not(t7),Z)) ),
inference(resolve,[$cnf( $equal(and(t1,not(t7)),not(or(carry,t7))) )],[refute_0_242,refute_0_11107]) ).
cnf(refute_0_11109,plain,
and(not(or(carry,t7)),Z) = and(t1,and(not(t7),Z)),
inference(resolve,[$cnf( $equal(and(and(t1,not(t7)),Z),and(t1,and(not(t7),Z))) )],[refute_0_11106,refute_0_11108]) ).
cnf(refute_0_11110,plain,
( and(not(or(carry,t7)),Z) != and(cin,and(not(carry),Z))
| and(not(or(carry,t7)),Z) != and(t1,and(not(t7),Z))
| and(t1,and(not(t7),Z)) = and(cin,and(not(carry),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(or(carry,t7)),Z),and(cin,and(not(carry),Z))) ),[0],$fot(and(t1,and(not(t7),Z)))]]) ).
cnf(refute_0_11111,plain,
( and(not(or(carry,t7)),Z) != and(cin,and(not(carry),Z))
| and(t1,and(not(t7),Z)) = and(cin,and(not(carry),Z)) ),
inference(resolve,[$cnf( $equal(and(not(or(carry,t7)),Z),and(t1,and(not(t7),Z))) )],[refute_0_11109,refute_0_11110]) ).
cnf(refute_0_11112,plain,
and(t1,and(not(t7),Z)) = and(cin,and(not(carry),Z)),
inference(resolve,[$cnf( $equal(and(not(or(carry,t7)),Z),and(cin,and(not(carry),Z))) )],[refute_0_11105,refute_0_11111]) ).
cnf(refute_0_11113,plain,
and(t1,and(not(t7),t6)) = and(cin,and(not(carry),t6)),
inference(subst,[],[refute_0_11112:[bind(Z,$fot(t6))]]) ).
cnf(refute_0_11114,plain,
( and(cin,and(not(carry),t6)) != not(or(a,t7))
| and(t1,and(not(t7),t6)) != and(cin,and(not(carry),t6))
| and(t1,and(not(t7),t6)) = not(or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t1,and(not(t7),t6)))),bind(Y0,$fot(and(cin,and(not(carry),t6)))),bind(Z0,$fot(not(or(a,t7))))]]) ).
cnf(refute_0_11115,plain,
( and(cin,and(not(carry),t6)) != not(or(a,t7))
| and(t1,and(not(t7),t6)) = not(or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(t1,and(not(t7),t6)),and(cin,and(not(carry),t6))) )],[refute_0_11113,refute_0_11114]) ).
cnf(refute_0_11116,plain,
and(t1,and(not(t7),t6)) = not(or(a,t7)),
inference(resolve,[$cnf( $equal(and(cin,and(not(carry),t6)),not(or(a,t7))) )],[refute_0_11101,refute_0_11115]) ).
cnf(refute_0_11117,plain,
and(not(t7),and(t1,t6)) = and(t1,and(not(t7),t6)),
inference(subst,[],[refute_0_4220:[bind(X,$fot(t1)),bind(Z,$fot(t6)),bind(X_669,$fot(not(t7)))]]) ).
cnf(refute_0_11118,plain,
( and(not(t7),and(t1,t6)) != and(t1,and(not(t7),t6))
| and(t1,and(not(t7),t6)) != not(or(a,t7))
| and(not(t7),and(t1,t6)) = not(or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t7),and(t1,t6)))),bind(Y0,$fot(and(t1,and(not(t7),t6)))),bind(Z0,$fot(not(or(a,t7))))]]) ).
cnf(refute_0_11119,plain,
( and(t1,and(not(t7),t6)) != not(or(a,t7))
| and(not(t7),and(t1,t6)) = not(or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(not(t7),and(t1,t6)),and(t1,and(not(t7),t6))) )],[refute_0_11117,refute_0_11118]) ).
cnf(refute_0_11120,plain,
and(not(t7),and(t1,t6)) = not(or(a,t7)),
inference(resolve,[$cnf( $equal(and(t1,and(not(t7),t6)),not(or(a,t7))) )],[refute_0_11116,refute_0_11119]) ).
cnf(refute_0_11121,plain,
and(and(sum,not(t7)),X_222) = and(sum,and(not(t7),X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(sum)),bind(Y,$fot(not(t7))),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_11122,plain,
( and(and(sum,not(t7)),X_222) != and(sum,and(not(t7),X_222))
| and(sum,not(t7)) != not(t7)
| and(not(t7),X_222) = and(sum,and(not(t7),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(sum,not(t7)),X_222),and(sum,and(not(t7),X_222))) ),[0,0],$fot(not(t7))]]) ).
cnf(refute_0_11123,plain,
( and(and(sum,not(t7)),X_222) != and(sum,and(not(t7),X_222))
| and(not(t7),X_222) = and(sum,and(not(t7),X_222)) ),
inference(resolve,[$cnf( $equal(and(sum,not(t7)),not(t7)) )],[refute_0_1049,refute_0_11122]) ).
cnf(refute_0_11124,plain,
and(not(t7),X_222) = and(sum,and(not(t7),X_222)),
inference(resolve,[$cnf( $equal(and(and(sum,not(t7)),X_222),and(sum,and(not(t7),X_222))) )],[refute_0_11121,refute_0_11123]) ).
cnf(refute_0_11125,plain,
( and(not(t7),X_222) != and(sum,and(not(t7),X_222))
| and(sum,and(not(t7),X_222)) = and(not(t7),X_222) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t7),X_222))),bind(Y0,$fot(and(sum,and(not(t7),X_222))))]]) ).
cnf(refute_0_11126,plain,
and(sum,and(not(t7),X_222)) = and(not(t7),X_222),
inference(resolve,[$cnf( $equal(and(not(t7),X_222),and(sum,and(not(t7),X_222))) )],[refute_0_11124,refute_0_11125]) ).
cnf(refute_0_11127,plain,
and(sum,and(not(t7),and(t1,t6))) = and(not(t7),and(t1,t6)),
inference(subst,[],[refute_0_11126:[bind(X_222,$fot(and(t1,t6)))]]) ).
cnf(refute_0_11128,plain,
( and(not(t7),and(t1,t6)) != not(or(a,t7))
| and(sum,and(not(t7),and(t1,t6))) != and(not(t7),and(t1,t6))
| and(sum,and(not(t7),and(t1,t6))) = not(or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(sum,and(not(t7),and(t1,t6))))),bind(Y0,$fot(and(not(t7),and(t1,t6)))),bind(Z0,$fot(not(or(a,t7))))]]) ).
cnf(refute_0_11129,plain,
( and(not(t7),and(t1,t6)) != not(or(a,t7))
| and(sum,and(not(t7),and(t1,t6))) = not(or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(sum,and(not(t7),and(t1,t6))),and(not(t7),and(t1,t6))) )],[refute_0_11127,refute_0_11128]) ).
cnf(refute_0_11130,plain,
and(sum,and(not(t7),and(t1,t6))) = not(or(a,t7)),
inference(resolve,[$cnf( $equal(and(not(t7),and(t1,t6)),not(or(a,t7))) )],[refute_0_11120,refute_0_11129]) ).
cnf(refute_0_11131,plain,
and(not(t7),and(sum,and(t1,t6))) = and(sum,and(not(t7),and(t1,t6))),
inference(subst,[],[refute_0_4220:[bind(X,$fot(sum)),bind(Z,$fot(and(t1,t6))),bind(X_669,$fot(not(t7)))]]) ).
cnf(refute_0_11132,plain,
( and(not(t7),and(sum,and(t1,t6))) != and(sum,and(not(t7),and(t1,t6)))
| and(sum,and(not(t7),and(t1,t6))) != not(or(a,t7))
| and(not(t7),and(sum,and(t1,t6))) = not(or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t7),and(sum,and(t1,t6))))),bind(Y0,$fot(and(sum,and(not(t7),and(t1,t6))))),bind(Z0,$fot(not(or(a,t7))))]]) ).
cnf(refute_0_11133,plain,
( and(sum,and(not(t7),and(t1,t6))) != not(or(a,t7))
| and(not(t7),and(sum,and(t1,t6))) = not(or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(not(t7),and(sum,and(t1,t6))),and(sum,and(not(t7),and(t1,t6)))) )],[refute_0_11131,refute_0_11132]) ).
cnf(refute_0_11134,plain,
and(not(t7),and(sum,and(t1,t6))) = not(or(a,t7)),
inference(resolve,[$cnf( $equal(and(sum,and(not(t7),and(t1,t6))),not(or(a,t7))) )],[refute_0_11130,refute_0_11133]) ).
cnf(refute_0_11135,plain,
( and(sum,and(t1,t6)) != xor(t7,or(t1,t7))
| xor(t7,or(t1,t7)) = and(sum,and(t1,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(sum,and(t1,t6)))),bind(Y0,$fot(xor(t7,or(t1,t7))))]]) ).
cnf(refute_0_11136,plain,
xor(t7,or(t1,t7)) = and(sum,and(t1,t6)),
inference(resolve,[$cnf( $equal(and(sum,and(t1,t6)),xor(t7,or(t1,t7))) )],[refute_0_11065,refute_0_11135]) ).
cnf(refute_0_11137,plain,
and(not(t7),xor(t7,or(t1,t7))) = and(not(t7),xor(t7,or(t1,t7))),
introduced(tautology,[refl,[$fot(and(not(t7),xor(t7,or(t1,t7))))]]) ).
cnf(refute_0_11138,plain,
( and(not(t7),xor(t7,or(t1,t7))) != and(not(t7),xor(t7,or(t1,t7)))
| xor(t7,or(t1,t7)) != and(sum,and(t1,t6))
| and(not(t7),xor(t7,or(t1,t7))) = and(not(t7),and(sum,and(t1,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t7),xor(t7,or(t1,t7))),and(not(t7),xor(t7,or(t1,t7)))) ),[1,1],$fot(and(sum,and(t1,t6)))]]) ).
cnf(refute_0_11139,plain,
( xor(t7,or(t1,t7)) != and(sum,and(t1,t6))
| and(not(t7),xor(t7,or(t1,t7))) = and(not(t7),and(sum,and(t1,t6))) ),
inference(resolve,[$cnf( $equal(and(not(t7),xor(t7,or(t1,t7))),and(not(t7),xor(t7,or(t1,t7)))) )],[refute_0_11137,refute_0_11138]) ).
cnf(refute_0_11140,plain,
and(not(t7),xor(t7,or(t1,t7))) = and(not(t7),and(sum,and(t1,t6))),
inference(resolve,[$cnf( $equal(xor(t7,or(t1,t7)),and(sum,and(t1,t6))) )],[refute_0_11136,refute_0_11139]) ).
cnf(refute_0_11141,plain,
( and(not(t7),and(sum,and(t1,t6))) != not(or(a,t7))
| and(not(t7),xor(t7,or(t1,t7))) != and(not(t7),and(sum,and(t1,t6)))
| and(not(t7),xor(t7,or(t1,t7))) = not(or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t7),xor(t7,or(t1,t7))))),bind(Y0,$fot(and(not(t7),and(sum,and(t1,t6))))),bind(Z0,$fot(not(or(a,t7))))]]) ).
cnf(refute_0_11142,plain,
( and(not(t7),and(sum,and(t1,t6))) != not(or(a,t7))
| and(not(t7),xor(t7,or(t1,t7))) = not(or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(not(t7),xor(t7,or(t1,t7))),and(not(t7),and(sum,and(t1,t6)))) )],[refute_0_11140,refute_0_11141]) ).
cnf(refute_0_11143,plain,
and(not(t7),xor(t7,or(t1,t7))) = not(or(a,t7)),
inference(resolve,[$cnf( $equal(and(not(t7),and(sum,and(t1,t6))),not(or(a,t7))) )],[refute_0_11134,refute_0_11142]) ).
cnf(refute_0_11144,plain,
( and(not(t7),xor(t7,or(t1,t7))) != not(or(a,t7))
| and(not(t7),xor(t7,or(t1,t7))) != xor(t7,or(t1,t7))
| not(or(a,t7)) = xor(t7,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t7),xor(t7,or(t1,t7))),xor(t7,or(t1,t7))) ),[0],$fot(not(or(a,t7)))]]) ).
cnf(refute_0_11145,plain,
( and(not(t7),xor(t7,or(t1,t7))) != xor(t7,or(t1,t7))
| not(or(a,t7)) = xor(t7,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(not(t7),xor(t7,or(t1,t7))),not(or(a,t7))) )],[refute_0_11143,refute_0_11144]) ).
cnf(refute_0_11146,plain,
( not(or(a,t7)) != xor(t7,or(t1,t7))
| xor(t7,or(t1,t7)) != and(sum,and(t1,t6))
| not(or(a,t7)) = and(sum,and(t1,t6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(or(a,t7)),and(sum,and(t1,t6))) ),[0],$fot(xor(t7,or(t1,t7)))]]) ).
cnf(refute_0_11147,plain,
( not(or(a,t7)) != xor(t7,or(t1,t7))
| not(or(a,t7)) = and(sum,and(t1,t6)) ),
inference(resolve,[$cnf( $equal(xor(t7,or(t1,t7)),and(sum,and(t1,t6))) )],[refute_0_11136,refute_0_11146]) ).
cnf(refute_0_11148,plain,
( and(not(t7),xor(t7,or(t1,t7))) != xor(t7,or(t1,t7))
| not(or(a,t7)) = and(sum,and(t1,t6)) ),
inference(resolve,[$cnf( $equal(not(or(a,t7)),xor(t7,or(t1,t7))) )],[refute_0_11145,refute_0_11147]) ).
cnf(refute_0_11149,plain,
not(or(a,t7)) = and(sum,and(t1,t6)),
inference(resolve,[$cnf( $equal(and(not(t7),xor(t7,or(t1,t7))),xor(t7,or(t1,t7))) )],[refute_0_11087,refute_0_11148]) ).
cnf(refute_0_11150,plain,
( not(or(a,t7)) != and(sum,and(t1,t6))
| and(sum,and(t1,t6)) = not(or(a,t7)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(a,t7)))),bind(Y0,$fot(and(sum,and(t1,t6))))]]) ).
cnf(refute_0_11151,plain,
and(sum,and(t1,t6)) = not(or(a,t7)),
inference(resolve,[$cnf( $equal(not(or(a,t7)),and(sum,and(t1,t6))) )],[refute_0_11149,refute_0_11150]) ).
cnf(refute_0_11152,plain,
( and(sum,and(t1,t6)) != not(or(a,t7))
| and(sum,and(t1,t6)) != xor(t7,or(t1,t7))
| not(or(a,t7)) = xor(t7,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(sum,and(t1,t6)),xor(t7,or(t1,t7))) ),[0],$fot(not(or(a,t7)))]]) ).
cnf(refute_0_11153,plain,
( and(sum,and(t1,t6)) != xor(t7,or(t1,t7))
| not(or(a,t7)) = xor(t7,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(sum,and(t1,t6)),not(or(a,t7))) )],[refute_0_11151,refute_0_11152]) ).
cnf(refute_0_11154,plain,
not(or(a,t7)) = xor(t7,or(t1,t7)),
inference(resolve,[$cnf( $equal(and(sum,and(t1,t6)),xor(t7,or(t1,t7))) )],[refute_0_11065,refute_0_11153]) ).
cnf(refute_0_11155,plain,
( not(or(a,t7)) != xor(t7,or(t1,t7))
| xor(t7,or(t1,t7)) = not(or(a,t7)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(a,t7)))),bind(Y0,$fot(xor(t7,or(t1,t7))))]]) ).
cnf(refute_0_11156,plain,
xor(t7,or(t1,t7)) = not(or(a,t7)),
inference(resolve,[$cnf( $equal(not(or(a,t7)),xor(t7,or(t1,t7))) )],[refute_0_11154,refute_0_11155]) ).
cnf(refute_0_11157,plain,
( xor(t7,or(t1,and(t3,t7))) != xor(t7,or(t1,t7))
| xor(t7,or(t1,t7)) != not(or(a,t7))
| xor(t7,or(t1,and(t3,t7))) = not(or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t7,or(t1,and(t3,t7))))),bind(Y0,$fot(xor(t7,or(t1,t7)))),bind(Z0,$fot(not(or(a,t7))))]]) ).
cnf(refute_0_11158,plain,
( xor(t7,or(t1,t7)) != not(or(a,t7))
| xor(t7,or(t1,and(t3,t7))) = not(or(a,t7)) ),
inference(resolve,[$cnf( $equal(xor(t7,or(t1,and(t3,t7))),xor(t7,or(t1,t7))) )],[refute_0_11061,refute_0_11157]) ).
cnf(refute_0_11159,plain,
xor(t7,or(t1,and(t3,t7))) = not(or(a,t7)),
inference(resolve,[$cnf( $equal(xor(t7,or(t1,t7)),not(or(a,t7))) )],[refute_0_11156,refute_0_11158]) ).
cnf(refute_0_11160,plain,
not(xor(t7,or(t1,and(t3,t7)))) = not(xor(t7,or(t1,and(t3,t7)))),
introduced(tautology,[refl,[$fot(not(xor(t7,or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_11161,plain,
( not(xor(t7,or(t1,and(t3,t7)))) != not(xor(t7,or(t1,and(t3,t7))))
| xor(t7,or(t1,and(t3,t7))) != not(or(a,t7))
| not(xor(t7,or(t1,and(t3,t7)))) = not(not(or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t7,or(t1,and(t3,t7)))),not(xor(t7,or(t1,and(t3,t7))))) ),[1,0],$fot(not(or(a,t7)))]]) ).
cnf(refute_0_11162,plain,
( xor(t7,or(t1,and(t3,t7))) != not(or(a,t7))
| not(xor(t7,or(t1,and(t3,t7)))) = not(not(or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(xor(t7,or(t1,and(t3,t7)))),not(xor(t7,or(t1,and(t3,t7))))) )],[refute_0_11160,refute_0_11161]) ).
cnf(refute_0_11163,plain,
not(xor(t7,or(t1,and(t3,t7)))) = not(not(or(a,t7))),
inference(resolve,[$cnf( $equal(xor(t7,or(t1,and(t3,t7))),not(or(a,t7))) )],[refute_0_11159,refute_0_11162]) ).
cnf(refute_0_11164,plain,
( not(not(or(a,t7))) != or(a,t7)
| not(xor(t7,or(t1,and(t3,t7)))) != not(not(or(a,t7)))
| not(xor(t7,or(t1,and(t3,t7)))) = or(a,t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t7,or(t1,and(t3,t7)))))),bind(Y0,$fot(not(not(or(a,t7))))),bind(Z0,$fot(or(a,t7)))]]) ).
cnf(refute_0_11165,plain,
( not(not(or(a,t7))) != or(a,t7)
| not(xor(t7,or(t1,and(t3,t7)))) = or(a,t7) ),
inference(resolve,[$cnf( $equal(not(xor(t7,or(t1,and(t3,t7)))),not(not(or(a,t7)))) )],[refute_0_11163,refute_0_11164]) ).
cnf(refute_0_11166,plain,
not(xor(t7,or(t1,and(t3,t7)))) = or(a,t7),
inference(resolve,[$cnf( $equal(not(not(or(a,t7))),or(a,t7)) )],[refute_0_2739,refute_0_11165]) ).
cnf(refute_0_11167,plain,
and(sum,not(xor(t7,or(t1,and(t3,t7))))) = and(sum,not(xor(t7,or(t1,and(t3,t7))))),
introduced(tautology,[refl,[$fot(and(sum,not(xor(t7,or(t1,and(t3,t7))))))]]) ).
cnf(refute_0_11168,plain,
( and(sum,not(xor(t7,or(t1,and(t3,t7))))) != and(sum,not(xor(t7,or(t1,and(t3,t7)))))
| not(xor(t7,or(t1,and(t3,t7)))) != or(a,t7)
| and(sum,not(xor(t7,or(t1,and(t3,t7))))) = and(sum,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(sum,not(xor(t7,or(t1,and(t3,t7))))),and(sum,not(xor(t7,or(t1,and(t3,t7)))))) ),[1,1],$fot(or(a,t7))]]) ).
cnf(refute_0_11169,plain,
( not(xor(t7,or(t1,and(t3,t7)))) != or(a,t7)
| and(sum,not(xor(t7,or(t1,and(t3,t7))))) = and(sum,or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(sum,not(xor(t7,or(t1,and(t3,t7))))),and(sum,not(xor(t7,or(t1,and(t3,t7)))))) )],[refute_0_11167,refute_0_11168]) ).
cnf(refute_0_11170,plain,
and(sum,not(xor(t7,or(t1,and(t3,t7))))) = and(sum,or(a,t7)),
inference(resolve,[$cnf( $equal(not(xor(t7,or(t1,and(t3,t7)))),or(a,t7)) )],[refute_0_11166,refute_0_11169]) ).
cnf(refute_0_11171,plain,
( and(sum,not(xor(t7,or(t1,and(t3,t7))))) != and(sum,or(a,t7))
| and(sum,or(a,t7)) != and(sum,or(a,b))
| and(sum,not(xor(t7,or(t1,and(t3,t7))))) = and(sum,or(a,b)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(sum,not(xor(t7,or(t1,and(t3,t7))))))),bind(Y0,$fot(and(sum,or(a,t7)))),bind(Z0,$fot(and(sum,or(a,b))))]]) ).
cnf(refute_0_11172,plain,
( and(sum,or(a,t7)) != and(sum,or(a,b))
| and(sum,not(xor(t7,or(t1,and(t3,t7))))) = and(sum,or(a,b)) ),
inference(resolve,[$cnf( $equal(and(sum,not(xor(t7,or(t1,and(t3,t7))))),and(sum,or(a,t7))) )],[refute_0_11170,refute_0_11171]) ).
cnf(refute_0_11173,plain,
and(sum,not(xor(t7,or(t1,and(t3,t7))))) = and(sum,or(a,b)),
inference(resolve,[$cnf( $equal(and(sum,or(a,t7)),and(sum,or(a,b))) )],[refute_0_7226,refute_0_11172]) ).
cnf(refute_0_11174,plain,
( and(sum,not(xor(t7,or(t1,and(t3,t7))))) != and(sum,or(a,b))
| and(sum,not(xor(t7,or(t1,and(t3,t7))))) != xor(t6,or(t1,and(t3,t7)))
| and(sum,or(a,b)) = xor(t6,or(t1,and(t3,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(sum,not(xor(t7,or(t1,and(t3,t7))))),xor(t6,or(t1,and(t3,t7)))) ),[0],$fot(and(sum,or(a,b)))]]) ).
cnf(refute_0_11175,plain,
( and(sum,not(xor(t7,or(t1,and(t3,t7))))) != xor(t6,or(t1,and(t3,t7)))
| and(sum,or(a,b)) = xor(t6,or(t1,and(t3,t7))) ),
inference(resolve,[$cnf( $equal(and(sum,not(xor(t7,or(t1,and(t3,t7))))),and(sum,or(a,b))) )],[refute_0_11173,refute_0_11174]) ).
cnf(refute_0_11176,plain,
xor(t6,or(t1,and(t3,t7))) = xor(t6,or(t1,and(t3,t7))),
introduced(tautology,[refl,[$fot(xor(t6,or(t1,and(t3,t7))))]]) ).
cnf(refute_0_11177,plain,
( or(t1,and(t3,t7)) != or(t1,t7)
| xor(t6,or(t1,and(t3,t7))) != xor(t6,or(t1,and(t3,t7)))
| xor(t6,or(t1,and(t3,t7))) = xor(t6,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,or(t1,and(t3,t7))),xor(t6,or(t1,and(t3,t7)))) ),[1,1],$fot(or(t1,t7))]]) ).
cnf(refute_0_11178,plain,
( or(t1,and(t3,t7)) != or(t1,t7)
| xor(t6,or(t1,and(t3,t7))) = xor(t6,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(xor(t6,or(t1,and(t3,t7))),xor(t6,or(t1,and(t3,t7)))) )],[refute_0_11176,refute_0_11177]) ).
cnf(refute_0_11179,plain,
xor(t6,or(t1,and(t3,t7))) = xor(t6,or(t1,t7)),
inference(resolve,[$cnf( $equal(or(t1,and(t3,t7)),or(t1,t7)) )],[refute_0_11034,refute_0_11178]) ).
cnf(refute_0_11180,plain,
( and(sum,or(a,b)) != xor(t6,or(t1,and(t3,t7)))
| xor(t6,or(t1,and(t3,t7))) != xor(t6,or(t1,t7))
| and(sum,or(a,b)) = xor(t6,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(sum,or(a,b)),xor(t6,or(t1,t7))) ),[0],$fot(xor(t6,or(t1,and(t3,t7))))]]) ).
cnf(refute_0_11181,plain,
( and(sum,or(a,b)) != xor(t6,or(t1,and(t3,t7)))
| and(sum,or(a,b)) = xor(t6,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(xor(t6,or(t1,and(t3,t7))),xor(t6,or(t1,t7))) )],[refute_0_11179,refute_0_11180]) ).
cnf(refute_0_11182,plain,
( and(sum,not(xor(t7,or(t1,and(t3,t7))))) != xor(t6,or(t1,and(t3,t7)))
| and(sum,or(a,b)) = xor(t6,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(sum,or(a,b)),xor(t6,or(t1,and(t3,t7)))) )],[refute_0_11175,refute_0_11181]) ).
cnf(refute_0_11183,plain,
and(sum,or(a,b)) = xor(t6,or(t1,t7)),
inference(resolve,[$cnf( $equal(and(sum,not(xor(t7,or(t1,and(t3,t7))))),xor(t6,or(t1,and(t3,t7)))) )],[refute_0_6005,refute_0_11182]) ).
cnf(refute_0_11184,plain,
( and(sum,or(a,b)) != xor(t6,or(t1,t7))
| xor(t6,or(t1,t7)) = and(sum,or(a,b)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(sum,or(a,b)))),bind(Y0,$fot(xor(t6,or(t1,t7))))]]) ).
cnf(refute_0_11185,plain,
xor(t6,or(t1,t7)) = and(sum,or(a,b)),
inference(resolve,[$cnf( $equal(and(sum,or(a,b)),xor(t6,or(t1,t7))) )],[refute_0_11183,refute_0_11184]) ).
cnf(refute_0_11186,plain,
( xor(t6,or(t1,t7)) != and(sum,or(a,b))
| xor(t6,xor(t6,or(t1,t7))) != or(t1,t7)
| xor(t6,and(sum,or(a,b))) = or(t1,t7) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,xor(t6,or(t1,t7))),or(t1,t7)) ),[0,1],$fot(and(sum,or(a,b)))]]) ).
cnf(refute_0_11187,plain,
( xor(t6,xor(t6,or(t1,t7))) != or(t1,t7)
| xor(t6,and(sum,or(a,b))) = or(t1,t7) ),
inference(resolve,[$cnf( $equal(xor(t6,or(t1,t7)),and(sum,or(a,b))) )],[refute_0_11185,refute_0_11186]) ).
cnf(refute_0_11188,plain,
xor(t6,and(sum,or(a,b))) = or(t1,t7),
inference(resolve,[$cnf( $equal(xor(t6,xor(t6,or(t1,t7))),or(t1,t7)) )],[refute_0_5412,refute_0_11187]) ).
cnf(refute_0_11189,plain,
( xor(sum,xor(t6,and(sum,or(a,b)))) != xor(t7,and(sum,or(a,b)))
| xor(t6,and(sum,or(a,b))) != or(t1,t7)
| xor(sum,or(t1,t7)) = xor(t7,and(sum,or(a,b))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,xor(t6,and(sum,or(a,b)))),xor(t7,and(sum,or(a,b)))) ),[0,1],$fot(or(t1,t7))]]) ).
cnf(refute_0_11190,plain,
( xor(sum,xor(t6,and(sum,or(a,b)))) != xor(t7,and(sum,or(a,b)))
| xor(sum,or(t1,t7)) = xor(t7,and(sum,or(a,b))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(sum,or(a,b))),or(t1,t7)) )],[refute_0_11188,refute_0_11189]) ).
cnf(refute_0_11191,plain,
xor(sum,or(t1,t7)) = xor(t7,and(sum,or(a,b))),
inference(resolve,[$cnf( $equal(xor(sum,xor(t6,and(sum,or(a,b)))),xor(t7,and(sum,or(a,b)))) )],[refute_0_5411,refute_0_11190]) ).
cnf(refute_0_11192,plain,
( xor(sum,or(t1,t7)) != not(and(sum,t1))
| xor(sum,or(t1,t7)) != xor(t7,and(sum,or(a,b)))
| not(and(sum,t1)) = xor(t7,and(sum,or(a,b))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,or(t1,t7)),xor(t7,and(sum,or(a,b)))) ),[0],$fot(not(and(sum,t1)))]]) ).
cnf(refute_0_11193,plain,
( xor(sum,or(t1,t7)) != xor(t7,and(sum,or(a,b)))
| not(and(sum,t1)) = xor(t7,and(sum,or(a,b))) ),
inference(resolve,[$cnf( $equal(xor(sum,or(t1,t7)),not(and(sum,t1))) )],[refute_0_11004,refute_0_11192]) ).
cnf(refute_0_11194,plain,
not(and(sum,t1)) = xor(t7,and(sum,or(a,b))),
inference(resolve,[$cnf( $equal(xor(sum,or(t1,t7)),xor(t7,and(sum,or(a,b)))) )],[refute_0_11191,refute_0_11193]) ).
cnf(refute_0_11195,plain,
( not(and(sum,t1)) != xor(t7,and(sum,or(a,b)))
| xor(t7,and(sum,or(a,b))) = not(and(sum,t1)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(sum,t1)))),bind(Y0,$fot(xor(t7,and(sum,or(a,b)))))]]) ).
cnf(refute_0_11196,plain,
xor(t7,and(sum,or(a,b))) = not(and(sum,t1)),
inference(resolve,[$cnf( $equal(not(and(sum,t1)),xor(t7,and(sum,or(a,b)))) )],[refute_0_11194,refute_0_11195]) ).
cnf(refute_0_11197,plain,
( xor(a,xor(t3,xor(t7,and(sum,or(a,b))))) != xor(carry,xor(sum,and(sum,or(a,b))))
| xor(t7,and(sum,or(a,b))) != not(and(sum,t1))
| xor(a,xor(t3,not(and(sum,t1)))) = xor(carry,xor(sum,and(sum,or(a,b)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t3,xor(t7,and(sum,or(a,b))))),xor(carry,xor(sum,and(sum,or(a,b))))) ),[0,1,1],$fot(not(and(sum,t1)))]]) ).
cnf(refute_0_11198,plain,
( xor(a,xor(t3,xor(t7,and(sum,or(a,b))))) != xor(carry,xor(sum,and(sum,or(a,b))))
| xor(a,xor(t3,not(and(sum,t1)))) = xor(carry,xor(sum,and(sum,or(a,b)))) ),
inference(resolve,[$cnf( $equal(xor(t7,and(sum,or(a,b))),not(and(sum,t1))) )],[refute_0_11196,refute_0_11197]) ).
cnf(refute_0_11199,plain,
xor(a,xor(t3,not(and(sum,t1)))) = xor(carry,xor(sum,and(sum,or(a,b)))),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,xor(t7,and(sum,or(a,b))))),xor(carry,xor(sum,and(sum,or(a,b))))) )],[refute_0_4909,refute_0_11198]) ).
cnf(refute_0_11200,plain,
or(and(xor(t6,or(carry,t7)),not(Y)),and(not(xor(t6,or(carry,t7))),Y)) = xor(xor(t6,or(carry,t7)),Y),
inference(subst,[],[refute_0_9:[bind(X,$fot(xor(t6,or(carry,t7))))]]) ).
cnf(refute_0_11201,plain,
( not(xor(t6,or(carry,t7))) != and(t6,or(carry,t7))
| or(and(xor(t6,or(carry,t7)),not(Y)),and(not(xor(t6,or(carry,t7))),Y)) != xor(xor(t6,or(carry,t7)),Y)
| or(and(xor(t6,or(carry,t7)),not(Y)),and(and(t6,or(carry,t7)),Y)) = xor(xor(t6,or(carry,t7)),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(t6,or(carry,t7)),not(Y)),and(not(xor(t6,or(carry,t7))),Y)),xor(xor(t6,or(carry,t7)),Y)) ),[0,1,0],$fot(and(t6,or(carry,t7)))]]) ).
cnf(refute_0_11202,plain,
( or(and(xor(t6,or(carry,t7)),not(Y)),and(not(xor(t6,or(carry,t7))),Y)) != xor(xor(t6,or(carry,t7)),Y)
| or(and(xor(t6,or(carry,t7)),not(Y)),and(and(t6,or(carry,t7)),Y)) = xor(xor(t6,or(carry,t7)),Y) ),
inference(resolve,[$cnf( $equal(not(xor(t6,or(carry,t7))),and(t6,or(carry,t7))) )],[refute_0_7551,refute_0_11201]) ).
cnf(refute_0_11203,plain,
or(and(xor(t6,or(carry,t7)),not(Y)),and(and(t6,or(carry,t7)),Y)) = xor(xor(t6,or(carry,t7)),Y),
inference(resolve,[$cnf( $equal(or(and(xor(t6,or(carry,t7)),not(Y)),and(not(xor(t6,or(carry,t7))),Y)),xor(xor(t6,or(carry,t7)),Y)) )],[refute_0_11200,refute_0_11202]) ).
cnf(refute_0_11204,plain,
and(and(t6,or(carry,t7)),Y) = and(t6,and(or(carry,t7),Y)),
inference(subst,[],[and_associative:[bind(X,$fot(t6)),bind(Y,$fot(or(carry,t7))),bind(Z,$fot(Y))]]) ).
cnf(refute_0_11205,plain,
or(and(and(t6,or(carry,t7)),Y),and(xor(t6,or(carry,t7)),not(Y))) = or(and(and(t6,or(carry,t7)),Y),and(xor(t6,or(carry,t7)),not(Y))),
introduced(tautology,[refl,[$fot(or(and(and(t6,or(carry,t7)),Y),and(xor(t6,or(carry,t7)),not(Y))))]]) ).
cnf(refute_0_11206,plain,
( and(and(t6,or(carry,t7)),Y) != and(t6,and(or(carry,t7),Y))
| or(and(and(t6,or(carry,t7)),Y),and(xor(t6,or(carry,t7)),not(Y))) != or(and(and(t6,or(carry,t7)),Y),and(xor(t6,or(carry,t7)),not(Y)))
| or(and(and(t6,or(carry,t7)),Y),and(xor(t6,or(carry,t7)),not(Y))) = or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(and(t6,or(carry,t7)),Y),and(xor(t6,or(carry,t7)),not(Y))),or(and(and(t6,or(carry,t7)),Y),and(xor(t6,or(carry,t7)),not(Y)))) ),[1,0],$fot(and(t6,and(or(carry,t7),Y)))]]) ).
cnf(refute_0_11207,plain,
( and(and(t6,or(carry,t7)),Y) != and(t6,and(or(carry,t7),Y))
| or(and(and(t6,or(carry,t7)),Y),and(xor(t6,or(carry,t7)),not(Y))) = or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))) ),
inference(resolve,[$cnf( $equal(or(and(and(t6,or(carry,t7)),Y),and(xor(t6,or(carry,t7)),not(Y))),or(and(and(t6,or(carry,t7)),Y),and(xor(t6,or(carry,t7)),not(Y)))) )],[refute_0_11205,refute_0_11206]) ).
cnf(refute_0_11208,plain,
or(and(and(t6,or(carry,t7)),Y),and(xor(t6,or(carry,t7)),not(Y))) = or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))),
inference(resolve,[$cnf( $equal(and(and(t6,or(carry,t7)),Y),and(t6,and(or(carry,t7),Y))) )],[refute_0_11204,refute_0_11207]) ).
cnf(refute_0_11209,plain,
or(and(xor(t6,or(carry,t7)),not(Y)),and(and(t6,or(carry,t7)),Y)) = or(and(and(t6,or(carry,t7)),Y),and(xor(t6,or(carry,t7)),not(Y))),
inference(subst,[],[refute_0_5:[bind(X,$fot(and(and(t6,or(carry,t7)),Y))),bind(Y,$fot(and(xor(t6,or(carry,t7)),not(Y))))]]) ).
cnf(refute_0_11210,plain,
( or(and(and(t6,or(carry,t7)),Y),and(xor(t6,or(carry,t7)),not(Y))) != or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y)))
| or(and(xor(t6,or(carry,t7)),not(Y)),and(and(t6,or(carry,t7)),Y)) != or(and(and(t6,or(carry,t7)),Y),and(xor(t6,or(carry,t7)),not(Y)))
| or(and(xor(t6,or(carry,t7)),not(Y)),and(and(t6,or(carry,t7)),Y)) = or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(xor(t6,or(carry,t7)),not(Y)),and(and(t6,or(carry,t7)),Y)))),bind(Y0,$fot(or(and(and(t6,or(carry,t7)),Y),and(xor(t6,or(carry,t7)),not(Y))))),bind(Z0,$fot(or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y)))))]]) ).
cnf(refute_0_11211,plain,
( or(and(and(t6,or(carry,t7)),Y),and(xor(t6,or(carry,t7)),not(Y))) != or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y)))
| or(and(xor(t6,or(carry,t7)),not(Y)),and(and(t6,or(carry,t7)),Y)) = or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))) ),
inference(resolve,[$cnf( $equal(or(and(xor(t6,or(carry,t7)),not(Y)),and(and(t6,or(carry,t7)),Y)),or(and(and(t6,or(carry,t7)),Y),and(xor(t6,or(carry,t7)),not(Y)))) )],[refute_0_11209,refute_0_11210]) ).
cnf(refute_0_11212,plain,
or(and(xor(t6,or(carry,t7)),not(Y)),and(and(t6,or(carry,t7)),Y)) = or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))),
inference(resolve,[$cnf( $equal(or(and(and(t6,or(carry,t7)),Y),and(xor(t6,or(carry,t7)),not(Y))),or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y)))) )],[refute_0_11208,refute_0_11211]) ).
cnf(refute_0_11213,plain,
( or(and(xor(t6,or(carry,t7)),not(Y)),and(and(t6,or(carry,t7)),Y)) != or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y)))
| or(and(xor(t6,or(carry,t7)),not(Y)),and(and(t6,or(carry,t7)),Y)) != xor(xor(t6,or(carry,t7)),Y)
| or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))) = xor(xor(t6,or(carry,t7)),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(t6,or(carry,t7)),not(Y)),and(and(t6,or(carry,t7)),Y)),xor(xor(t6,or(carry,t7)),Y)) ),[0],$fot(or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))))]]) ).
cnf(refute_0_11214,plain,
( or(and(xor(t6,or(carry,t7)),not(Y)),and(and(t6,or(carry,t7)),Y)) != xor(xor(t6,or(carry,t7)),Y)
| or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))) = xor(xor(t6,or(carry,t7)),Y) ),
inference(resolve,[$cnf( $equal(or(and(xor(t6,or(carry,t7)),not(Y)),and(and(t6,or(carry,t7)),Y)),or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y)))) )],[refute_0_11212,refute_0_11213]) ).
cnf(refute_0_11215,plain,
xor(xor(t6,or(carry,t7)),Y) = xor(t6,xor(or(carry,t7),Y)),
inference(subst,[],[refute_0_526:[bind(X,$fot(t6)),bind(Y,$fot(or(carry,t7))),bind(Z,$fot(Y))]]) ).
cnf(refute_0_11216,plain,
( or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))) != xor(xor(t6,or(carry,t7)),Y)
| xor(xor(t6,or(carry,t7)),Y) != xor(t6,xor(or(carry,t7),Y))
| or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))) = xor(t6,xor(or(carry,t7),Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))),xor(t6,xor(or(carry,t7),Y))) ),[0],$fot(xor(xor(t6,or(carry,t7)),Y))]]) ).
cnf(refute_0_11217,plain,
( or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))) != xor(xor(t6,or(carry,t7)),Y)
| or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))) = xor(t6,xor(or(carry,t7),Y)) ),
inference(resolve,[$cnf( $equal(xor(xor(t6,or(carry,t7)),Y),xor(t6,xor(or(carry,t7),Y))) )],[refute_0_11215,refute_0_11216]) ).
cnf(refute_0_11218,plain,
( or(and(xor(t6,or(carry,t7)),not(Y)),and(and(t6,or(carry,t7)),Y)) != xor(xor(t6,or(carry,t7)),Y)
| or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))) = xor(t6,xor(or(carry,t7),Y)) ),
inference(resolve,[$cnf( $equal(or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))),xor(xor(t6,or(carry,t7)),Y)) )],[refute_0_11214,refute_0_11217]) ).
cnf(refute_0_11219,plain,
or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))) = xor(t6,xor(or(carry,t7),Y)),
inference(resolve,[$cnf( $equal(or(and(xor(t6,or(carry,t7)),not(Y)),and(and(t6,or(carry,t7)),Y)),xor(xor(t6,or(carry,t7)),Y)) )],[refute_0_11203,refute_0_11218]) ).
cnf(refute_0_11220,plain,
not(or(not(xor(t6,or(carry,t7))),X_26)) = and(xor(t6,or(carry,t7)),not(X_26)),
inference(subst,[],[refute_0_159:[bind(X,$fot(xor(t6,or(carry,t7))))]]) ).
cnf(refute_0_11221,plain,
( not(or(not(xor(t6,or(carry,t7))),X_26)) != and(xor(t6,or(carry,t7)),not(X_26))
| not(xor(t6,or(carry,t7))) != and(t6,or(carry,t7))
| not(or(and(t6,or(carry,t7)),X_26)) = and(xor(t6,or(carry,t7)),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(xor(t6,or(carry,t7))),X_26)),and(xor(t6,or(carry,t7)),not(X_26))) ),[0,0,0],$fot(and(t6,or(carry,t7)))]]) ).
cnf(refute_0_11222,plain,
( not(or(not(xor(t6,or(carry,t7))),X_26)) != and(xor(t6,or(carry,t7)),not(X_26))
| not(or(and(t6,or(carry,t7)),X_26)) = and(xor(t6,or(carry,t7)),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(xor(t6,or(carry,t7))),and(t6,or(carry,t7))) )],[refute_0_7551,refute_0_11221]) ).
cnf(refute_0_11223,plain,
not(or(and(t6,or(carry,t7)),X_26)) = and(xor(t6,or(carry,t7)),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(not(xor(t6,or(carry,t7))),X_26)),and(xor(t6,or(carry,t7)),not(X_26))) )],[refute_0_11220,refute_0_11222]) ).
cnf(refute_0_11224,plain,
( not(or(and(t6,or(carry,t7)),X_26)) != and(xor(t6,or(carry,t7)),not(X_26))
| and(xor(t6,or(carry,t7)),not(X_26)) = not(or(and(t6,or(carry,t7)),X_26)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(and(t6,or(carry,t7)),X_26)))),bind(Y0,$fot(and(xor(t6,or(carry,t7)),not(X_26))))]]) ).
cnf(refute_0_11225,plain,
and(xor(t6,or(carry,t7)),not(X_26)) = not(or(and(t6,or(carry,t7)),X_26)),
inference(resolve,[$cnf( $equal(not(or(and(t6,or(carry,t7)),X_26)),and(xor(t6,or(carry,t7)),not(X_26))) )],[refute_0_11223,refute_0_11224]) ).
cnf(refute_0_11226,plain,
and(xor(t6,or(carry,t7)),not(Y)) = not(or(and(t6,or(carry,t7)),Y)),
inference(subst,[],[refute_0_11225:[bind(X_26,$fot(Y))]]) ).
cnf(refute_0_11227,plain,
or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))) = or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))),
introduced(tautology,[refl,[$fot(or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))))]]) ).
cnf(refute_0_11228,plain,
( and(xor(t6,or(carry,t7)),not(Y)) != not(or(and(t6,or(carry,t7)),Y))
| or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))) != or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y)))
| or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))) = or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))),or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y)))) ),[1,1],$fot(not(or(and(t6,or(carry,t7)),Y)))]]) ).
cnf(refute_0_11229,plain,
( and(xor(t6,or(carry,t7)),not(Y)) != not(or(and(t6,or(carry,t7)),Y))
| or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))) = or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y))) ),
inference(resolve,[$cnf( $equal(or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))),or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y)))) )],[refute_0_11227,refute_0_11228]) ).
cnf(refute_0_11230,plain,
or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))) = or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y))),
inference(resolve,[$cnf( $equal(and(xor(t6,or(carry,t7)),not(Y)),not(or(and(t6,or(carry,t7)),Y))) )],[refute_0_11226,refute_0_11229]) ).
cnf(refute_0_11231,plain,
( or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))) != or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y)))
| or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))) != xor(t6,xor(or(carry,t7),Y))
| or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y))) = xor(t6,xor(or(carry,t7),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))),xor(t6,xor(or(carry,t7),Y))) ),[0],$fot(or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y))))]]) ).
cnf(refute_0_11232,plain,
( or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))) != xor(t6,xor(or(carry,t7),Y))
| or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y))) = xor(t6,xor(or(carry,t7),Y)) ),
inference(resolve,[$cnf( $equal(or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))),or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y)))) )],[refute_0_11230,refute_0_11231]) ).
cnf(refute_0_11233,plain,
or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y))) = xor(t6,xor(or(carry,t7),Y)),
inference(resolve,[$cnf( $equal(or(and(t6,and(or(carry,t7),Y)),and(xor(t6,or(carry,t7)),not(Y))),xor(t6,xor(or(carry,t7),Y))) )],[refute_0_11219,refute_0_11232]) ).
cnf(refute_0_11234,plain,
or(and(t6,or(carry,t7)),Y) = or(and(t6,or(carry,t7)),Y),
introduced(tautology,[refl,[$fot(or(and(t6,or(carry,t7)),Y))]]) ).
cnf(refute_0_11235,plain,
( and(t6,or(carry,t7)) != and(t6,or(a,t7))
| or(and(t6,or(carry,t7)),Y) != or(and(t6,or(carry,t7)),Y)
| or(and(t6,or(carry,t7)),Y) = or(and(t6,or(a,t7)),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,or(carry,t7)),Y),or(and(t6,or(carry,t7)),Y)) ),[1,0],$fot(and(t6,or(a,t7)))]]) ).
cnf(refute_0_11236,plain,
( and(t6,or(carry,t7)) != and(t6,or(a,t7))
| or(and(t6,or(carry,t7)),Y) = or(and(t6,or(a,t7)),Y) ),
inference(resolve,[$cnf( $equal(or(and(t6,or(carry,t7)),Y),or(and(t6,or(carry,t7)),Y)) )],[refute_0_11234,refute_0_11235]) ).
cnf(refute_0_11237,plain,
or(and(t6,or(carry,t7)),Y) = or(and(t6,or(a,t7)),Y),
inference(resolve,[$cnf( $equal(and(t6,or(carry,t7)),and(t6,or(a,t7))) )],[refute_0_7618,refute_0_11236]) ).
cnf(refute_0_11238,plain,
not(or(and(t6,or(carry,t7)),Y)) = not(or(and(t6,or(carry,t7)),Y)),
introduced(tautology,[refl,[$fot(not(or(and(t6,or(carry,t7)),Y)))]]) ).
cnf(refute_0_11239,plain,
( not(or(and(t6,or(carry,t7)),Y)) != not(or(and(t6,or(carry,t7)),Y))
| or(and(t6,or(carry,t7)),Y) != or(and(t6,or(a,t7)),Y)
| not(or(and(t6,or(carry,t7)),Y)) = not(or(and(t6,or(a,t7)),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(and(t6,or(carry,t7)),Y)),not(or(and(t6,or(carry,t7)),Y))) ),[1,0],$fot(or(and(t6,or(a,t7)),Y))]]) ).
cnf(refute_0_11240,plain,
( or(and(t6,or(carry,t7)),Y) != or(and(t6,or(a,t7)),Y)
| not(or(and(t6,or(carry,t7)),Y)) = not(or(and(t6,or(a,t7)),Y)) ),
inference(resolve,[$cnf( $equal(not(or(and(t6,or(carry,t7)),Y)),not(or(and(t6,or(carry,t7)),Y))) )],[refute_0_11238,refute_0_11239]) ).
cnf(refute_0_11241,plain,
not(or(and(t6,or(carry,t7)),Y)) = not(or(and(t6,or(a,t7)),Y)),
inference(resolve,[$cnf( $equal(or(and(t6,or(carry,t7)),Y),or(and(t6,or(a,t7)),Y)) )],[refute_0_11237,refute_0_11240]) ).
cnf(refute_0_11242,plain,
or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(carry,t7)),Y))) = or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(carry,t7)),Y))),
introduced(tautology,[refl,[$fot(or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(carry,t7)),Y))))]]) ).
cnf(refute_0_11243,plain,
( not(or(and(t6,or(carry,t7)),Y)) != not(or(and(t6,or(a,t7)),Y))
| or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(carry,t7)),Y))) != or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(carry,t7)),Y)))
| or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(carry,t7)),Y))) = or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(carry,t7)),Y))),or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(carry,t7)),Y)))) ),[1,1],$fot(not(or(and(t6,or(a,t7)),Y)))]]) ).
cnf(refute_0_11244,plain,
( not(or(and(t6,or(carry,t7)),Y)) != not(or(and(t6,or(a,t7)),Y))
| or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(carry,t7)),Y))) = or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))) ),
inference(resolve,[$cnf( $equal(or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(carry,t7)),Y))),or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(carry,t7)),Y)))) )],[refute_0_11242,refute_0_11243]) ).
cnf(refute_0_11245,plain,
or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(carry,t7)),Y))) = or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))),
inference(resolve,[$cnf( $equal(not(or(and(t6,or(carry,t7)),Y)),not(or(and(t6,or(a,t7)),Y))) )],[refute_0_11241,refute_0_11244]) ).
cnf(refute_0_11246,plain,
and(or(carry,t7),Y) = and(or(carry,t7),Y),
introduced(tautology,[refl,[$fot(and(or(carry,t7),Y))]]) ).
cnf(refute_0_11247,plain,
( and(or(carry,t7),Y) != and(or(carry,t7),Y)
| or(carry,t7) != or(a,t7)
| and(or(carry,t7),Y) = and(or(a,t7),Y) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(carry,t7),Y),and(or(carry,t7),Y)) ),[1,0],$fot(or(a,t7))]]) ).
cnf(refute_0_11248,plain,
( or(carry,t7) != or(a,t7)
| and(or(carry,t7),Y) = and(or(a,t7),Y) ),
inference(resolve,[$cnf( $equal(and(or(carry,t7),Y),and(or(carry,t7),Y)) )],[refute_0_11246,refute_0_11247]) ).
cnf(refute_0_11249,plain,
and(or(carry,t7),Y) = and(or(a,t7),Y),
inference(resolve,[$cnf( $equal(or(carry,t7),or(a,t7)) )],[refute_0_2743,refute_0_11248]) ).
cnf(refute_0_11250,plain,
and(t6,and(or(carry,t7),Y)) = and(t6,and(or(carry,t7),Y)),
introduced(tautology,[refl,[$fot(and(t6,and(or(carry,t7),Y)))]]) ).
cnf(refute_0_11251,plain,
( and(or(carry,t7),Y) != and(or(a,t7),Y)
| and(t6,and(or(carry,t7),Y)) != and(t6,and(or(carry,t7),Y))
| and(t6,and(or(carry,t7),Y)) = and(t6,and(or(a,t7),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,and(or(carry,t7),Y)),and(t6,and(or(carry,t7),Y))) ),[1,1],$fot(and(or(a,t7),Y))]]) ).
cnf(refute_0_11252,plain,
( and(or(carry,t7),Y) != and(or(a,t7),Y)
| and(t6,and(or(carry,t7),Y)) = and(t6,and(or(a,t7),Y)) ),
inference(resolve,[$cnf( $equal(and(t6,and(or(carry,t7),Y)),and(t6,and(or(carry,t7),Y))) )],[refute_0_11250,refute_0_11251]) ).
cnf(refute_0_11253,plain,
and(t6,and(or(carry,t7),Y)) = and(t6,and(or(a,t7),Y)),
inference(resolve,[$cnf( $equal(and(or(carry,t7),Y),and(or(a,t7),Y)) )],[refute_0_11249,refute_0_11252]) ).
cnf(refute_0_11254,plain,
or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y))) = or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y))),
introduced(tautology,[refl,[$fot(or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y))))]]) ).
cnf(refute_0_11255,plain,
( and(t6,and(or(carry,t7),Y)) != and(t6,and(or(a,t7),Y))
| or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y))) != or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y)))
| or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y))) = or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(carry,t7)),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y))),or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y)))) ),[1,0],$fot(and(t6,and(or(a,t7),Y)))]]) ).
cnf(refute_0_11256,plain,
( and(t6,and(or(carry,t7),Y)) != and(t6,and(or(a,t7),Y))
| or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y))) = or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(carry,t7)),Y))) ),
inference(resolve,[$cnf( $equal(or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y))),or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y)))) )],[refute_0_11254,refute_0_11255]) ).
cnf(refute_0_11257,plain,
or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y))) = or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(carry,t7)),Y))),
inference(resolve,[$cnf( $equal(and(t6,and(or(carry,t7),Y)),and(t6,and(or(a,t7),Y))) )],[refute_0_11253,refute_0_11256]) ).
cnf(refute_0_11258,plain,
( or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(carry,t7)),Y))) != or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y)))
| or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y))) != or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(carry,t7)),Y)))
| or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y))) = or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y))))),bind(Y0,$fot(or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(carry,t7)),Y))))),bind(Z0,$fot(or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y)))))]]) ).
cnf(refute_0_11259,plain,
( or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(carry,t7)),Y))) != or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y)))
| or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y))) = or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))) ),
inference(resolve,[$cnf( $equal(or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y))),or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(carry,t7)),Y)))) )],[refute_0_11257,refute_0_11258]) ).
cnf(refute_0_11260,plain,
or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y))) = or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))),
inference(resolve,[$cnf( $equal(or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(carry,t7)),Y))),or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y)))) )],[refute_0_11245,refute_0_11259]) ).
cnf(refute_0_11261,plain,
( or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y))) != or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y)))
| or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y))) != xor(t6,xor(or(carry,t7),Y))
| or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))) = xor(t6,xor(or(carry,t7),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y))),xor(t6,xor(or(carry,t7),Y))) ),[0],$fot(or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))))]]) ).
cnf(refute_0_11262,plain,
( or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y))) != xor(t6,xor(or(carry,t7),Y))
| or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))) = xor(t6,xor(or(carry,t7),Y)) ),
inference(resolve,[$cnf( $equal(or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y))),or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y)))) )],[refute_0_11260,refute_0_11261]) ).
cnf(refute_0_11263,plain,
xor(or(carry,t7),Y) = xor(or(carry,t7),Y),
introduced(tautology,[refl,[$fot(xor(or(carry,t7),Y))]]) ).
cnf(refute_0_11264,plain,
( or(carry,t7) != or(a,t7)
| xor(or(carry,t7),Y) != xor(or(carry,t7),Y)
| xor(or(carry,t7),Y) = xor(or(a,t7),Y) ),
introduced(tautology,[equality,[$cnf( $equal(xor(or(carry,t7),Y),xor(or(carry,t7),Y)) ),[1,0],$fot(or(a,t7))]]) ).
cnf(refute_0_11265,plain,
( or(carry,t7) != or(a,t7)
| xor(or(carry,t7),Y) = xor(or(a,t7),Y) ),
inference(resolve,[$cnf( $equal(xor(or(carry,t7),Y),xor(or(carry,t7),Y)) )],[refute_0_11263,refute_0_11264]) ).
cnf(refute_0_11266,plain,
xor(or(carry,t7),Y) = xor(or(a,t7),Y),
inference(resolve,[$cnf( $equal(or(carry,t7),or(a,t7)) )],[refute_0_2743,refute_0_11265]) ).
cnf(refute_0_11267,plain,
xor(t6,xor(or(carry,t7),Y)) = xor(t6,xor(or(carry,t7),Y)),
introduced(tautology,[refl,[$fot(xor(t6,xor(or(carry,t7),Y)))]]) ).
cnf(refute_0_11268,plain,
( xor(or(carry,t7),Y) != xor(or(a,t7),Y)
| xor(t6,xor(or(carry,t7),Y)) != xor(t6,xor(or(carry,t7),Y))
| xor(t6,xor(or(carry,t7),Y)) = xor(t6,xor(or(a,t7),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,xor(or(carry,t7),Y)),xor(t6,xor(or(carry,t7),Y))) ),[1,1],$fot(xor(or(a,t7),Y))]]) ).
cnf(refute_0_11269,plain,
( xor(or(carry,t7),Y) != xor(or(a,t7),Y)
| xor(t6,xor(or(carry,t7),Y)) = xor(t6,xor(or(a,t7),Y)) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(or(carry,t7),Y)),xor(t6,xor(or(carry,t7),Y))) )],[refute_0_11267,refute_0_11268]) ).
cnf(refute_0_11270,plain,
xor(t6,xor(or(carry,t7),Y)) = xor(t6,xor(or(a,t7),Y)),
inference(resolve,[$cnf( $equal(xor(or(carry,t7),Y),xor(or(a,t7),Y)) )],[refute_0_11266,refute_0_11269]) ).
cnf(refute_0_11271,plain,
( or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))) != xor(t6,xor(or(carry,t7),Y))
| xor(t6,xor(or(carry,t7),Y)) != xor(t6,xor(or(a,t7),Y))
| or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))) = xor(t6,xor(or(a,t7),Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))),xor(t6,xor(or(a,t7),Y))) ),[0],$fot(xor(t6,xor(or(carry,t7),Y)))]]) ).
cnf(refute_0_11272,plain,
( or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))) != xor(t6,xor(or(carry,t7),Y))
| or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))) = xor(t6,xor(or(a,t7),Y)) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(or(carry,t7),Y)),xor(t6,xor(or(a,t7),Y))) )],[refute_0_11270,refute_0_11271]) ).
cnf(refute_0_11273,plain,
( or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y))) != xor(t6,xor(or(carry,t7),Y))
| or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))) = xor(t6,xor(or(a,t7),Y)) ),
inference(resolve,[$cnf( $equal(or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))),xor(t6,xor(or(carry,t7),Y))) )],[refute_0_11262,refute_0_11272]) ).
cnf(refute_0_11274,plain,
or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))) = xor(t6,xor(or(a,t7),Y)),
inference(resolve,[$cnf( $equal(or(and(t6,and(or(carry,t7),Y)),not(or(and(t6,or(carry,t7)),Y))),xor(t6,xor(or(carry,t7),Y))) )],[refute_0_11233,refute_0_11273]) ).
cnf(refute_0_11275,plain,
or(and(t6,and(or(a,t7),Y)),not(or(carry,or(not(sum),Y)))) = or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y))),
inference(subst,[],[refute_0_5:[bind(X,$fot(not(or(carry,or(not(sum),Y))))),bind(Y,$fot(and(t6,and(or(a,t7),Y))))]]) ).
cnf(refute_0_11276,plain,
or(or(carry,not(sum)),Z) = or(carry,or(not(sum),Z)),
inference(subst,[],[or_associative:[bind(X,$fot(carry)),bind(Y,$fot(not(sum)))]]) ).
cnf(refute_0_11277,plain,
or(or(carry,not(t5)),X_39) = or(carry,or(not(t5),X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(carry)),bind(Y,$fot(not(t5))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_11278,plain,
( or(carry,not(t5)) != carry
| or(or(carry,not(t5)),X_39) != or(carry,or(not(t5),X_39))
| or(carry,X_39) = or(carry,or(not(t5),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(carry,not(t5)),X_39),or(carry,or(not(t5),X_39))) ),[0,0],$fot(carry)]]) ).
cnf(refute_0_11279,plain,
( or(or(carry,not(t5)),X_39) != or(carry,or(not(t5),X_39))
| or(carry,X_39) = or(carry,or(not(t5),X_39)) ),
inference(resolve,[$cnf( $equal(or(carry,not(t5)),carry) )],[refute_0_4320,refute_0_11278]) ).
cnf(refute_0_11280,plain,
or(carry,X_39) = or(carry,or(not(t5),X_39)),
inference(resolve,[$cnf( $equal(or(or(carry,not(t5)),X_39),or(carry,or(not(t5),X_39))) )],[refute_0_11277,refute_0_11279]) ).
cnf(refute_0_11281,plain,
or(carry,not(Y)) = or(carry,or(not(t5),not(Y))),
inference(subst,[],[refute_0_11280:[bind(X_39,$fot(not(Y)))]]) ).
cnf(refute_0_11282,plain,
not(and(t5,Y)) = or(not(t5),not(Y)),
inference(subst,[],[and_demorgan:[bind(X,$fot(t5))]]) ).
cnf(refute_0_11283,plain,
( not(and(t5,Y)) != or(not(t5),not(Y))
| or(not(t5),not(Y)) = not(and(t5,Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(t5,Y)))),bind(Y0,$fot(or(not(t5),not(Y))))]]) ).
cnf(refute_0_11284,plain,
or(not(t5),not(Y)) = not(and(t5,Y)),
inference(resolve,[$cnf( $equal(not(and(t5,Y)),or(not(t5),not(Y))) )],[refute_0_11282,refute_0_11283]) ).
cnf(refute_0_11285,plain,
( or(carry,not(Y)) != or(carry,or(not(t5),not(Y)))
| or(not(t5),not(Y)) != not(and(t5,Y))
| or(carry,not(Y)) = or(carry,not(and(t5,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(Y)),or(carry,or(not(t5),not(Y)))) ),[1,1],$fot(not(and(t5,Y)))]]) ).
cnf(refute_0_11286,plain,
( or(carry,not(Y)) != or(carry,or(not(t5),not(Y)))
| or(carry,not(Y)) = or(carry,not(and(t5,Y))) ),
inference(resolve,[$cnf( $equal(or(not(t5),not(Y)),not(and(t5,Y))) )],[refute_0_11284,refute_0_11285]) ).
cnf(refute_0_11287,plain,
or(carry,not(Y)) = or(carry,not(and(t5,Y))),
inference(resolve,[$cnf( $equal(or(carry,not(Y)),or(carry,or(not(t5),not(Y)))) )],[refute_0_11281,refute_0_11286]) ).
cnf(refute_0_11288,plain,
or(carry,not(or(cin,sum))) = or(carry,not(and(t5,or(cin,sum)))),
inference(subst,[],[refute_0_11287:[bind(Y,$fot(or(cin,sum)))]]) ).
cnf(refute_0_11289,plain,
( and(t5,or(cin,sum)) != sum
| or(carry,not(or(cin,sum))) != or(carry,not(and(t5,or(cin,sum))))
| or(carry,not(or(cin,sum))) = or(carry,not(sum)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(or(cin,sum))),or(carry,not(and(t5,or(cin,sum))))) ),[1,1,0],$fot(sum)]]) ).
cnf(refute_0_11290,plain,
( or(carry,not(or(cin,sum))) != or(carry,not(and(t5,or(cin,sum))))
| or(carry,not(or(cin,sum))) = or(carry,not(sum)) ),
inference(resolve,[$cnf( $equal(and(t5,or(cin,sum)),sum) )],[refute_0_5314,refute_0_11289]) ).
cnf(refute_0_11291,plain,
or(carry,not(or(cin,sum))) = or(carry,not(sum)),
inference(resolve,[$cnf( $equal(or(carry,not(or(cin,sum))),or(carry,not(and(t5,or(cin,sum))))) )],[refute_0_11288,refute_0_11290]) ).
cnf(refute_0_11292,plain,
not(not(or(carry,xor(cin,t6)))) = or(carry,xor(cin,t6)),
inference(subst,[],[not_involution:[bind(X,$fot(or(carry,xor(cin,t6))))]]) ).
cnf(refute_0_11293,plain,
( and(t1,xor(t6,t7)) != and(sum,t1)
| not(or(carry,xor(cin,t6))) != and(t1,xor(t6,t7))
| not(or(carry,xor(cin,t6))) = and(sum,t1) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,xor(cin,t6))),and(t1,xor(t6,t7))) ),[1],$fot(and(sum,t1))]]) ).
cnf(refute_0_11294,plain,
( not(or(carry,xor(cin,t6))) != and(t1,xor(t6,t7))
| not(or(carry,xor(cin,t6))) = and(sum,t1) ),
inference(resolve,[$cnf( $equal(and(t1,xor(t6,t7)),and(sum,t1)) )],[refute_0_7966,refute_0_11293]) ).
cnf(refute_0_11295,plain,
not(or(carry,xor(cin,t6))) = and(sum,t1),
inference(resolve,[$cnf( $equal(not(or(carry,xor(cin,t6))),and(t1,xor(t6,t7))) )],[refute_0_7944,refute_0_11294]) ).
cnf(refute_0_11296,plain,
( not(not(or(carry,xor(cin,t6)))) != or(carry,xor(cin,t6))
| not(or(carry,xor(cin,t6))) != and(sum,t1)
| not(and(sum,t1)) = or(carry,xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(or(carry,xor(cin,t6)))),or(carry,xor(cin,t6))) ),[0,0],$fot(and(sum,t1))]]) ).
cnf(refute_0_11297,plain,
( not(not(or(carry,xor(cin,t6)))) != or(carry,xor(cin,t6))
| not(and(sum,t1)) = or(carry,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(not(or(carry,xor(cin,t6))),and(sum,t1)) )],[refute_0_11295,refute_0_11296]) ).
cnf(refute_0_11298,plain,
not(and(sum,t1)) = or(carry,xor(cin,t6)),
inference(resolve,[$cnf( $equal(not(not(or(carry,xor(cin,t6)))),or(carry,xor(cin,t6))) )],[refute_0_11292,refute_0_11297]) ).
cnf(refute_0_11299,plain,
( not(and(sum,t1)) != or(carry,xor(cin,t6))
| or(carry,xor(cin,t6)) = not(and(sum,t1)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(sum,t1)))),bind(Y0,$fot(or(carry,xor(cin,t6))))]]) ).
cnf(refute_0_11300,plain,
or(carry,xor(cin,t6)) = not(and(sum,t1)),
inference(resolve,[$cnf( $equal(not(and(sum,t1)),or(carry,xor(cin,t6))) )],[refute_0_11298,refute_0_11299]) ).
cnf(refute_0_11301,plain,
or(carry,not(or(cin,sum))) = or(carry,not(or(cin,sum))),
introduced(tautology,[refl,[$fot(or(carry,not(or(cin,sum))))]]) ).
cnf(refute_0_11302,plain,
( not(or(cin,sum)) != xor(cin,t6)
| or(carry,not(or(cin,sum))) != or(carry,not(or(cin,sum)))
| or(carry,not(or(cin,sum))) = or(carry,xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(or(cin,sum))),or(carry,not(or(cin,sum)))) ),[1,1],$fot(xor(cin,t6))]]) ).
cnf(refute_0_11303,plain,
( not(or(cin,sum)) != xor(cin,t6)
| or(carry,not(or(cin,sum))) = or(carry,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(or(carry,not(or(cin,sum))),or(carry,not(or(cin,sum)))) )],[refute_0_11301,refute_0_11302]) ).
cnf(refute_0_11304,plain,
or(carry,not(or(cin,sum))) = or(carry,xor(cin,t6)),
inference(resolve,[$cnf( $equal(not(or(cin,sum)),xor(cin,t6)) )],[refute_0_5323,refute_0_11303]) ).
cnf(refute_0_11305,plain,
( or(carry,not(or(cin,sum))) != or(carry,xor(cin,t6))
| or(carry,xor(cin,t6)) != not(and(sum,t1))
| or(carry,not(or(cin,sum))) = not(and(sum,t1)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(carry,not(or(cin,sum))))),bind(Y0,$fot(or(carry,xor(cin,t6)))),bind(Z0,$fot(not(and(sum,t1))))]]) ).
cnf(refute_0_11306,plain,
( or(carry,xor(cin,t6)) != not(and(sum,t1))
| or(carry,not(or(cin,sum))) = not(and(sum,t1)) ),
inference(resolve,[$cnf( $equal(or(carry,not(or(cin,sum))),or(carry,xor(cin,t6))) )],[refute_0_11304,refute_0_11305]) ).
cnf(refute_0_11307,plain,
or(carry,not(or(cin,sum))) = not(and(sum,t1)),
inference(resolve,[$cnf( $equal(or(carry,xor(cin,t6)),not(and(sum,t1))) )],[refute_0_11300,refute_0_11306]) ).
cnf(refute_0_11308,plain,
( or(carry,not(or(cin,sum))) != not(and(sum,t1))
| or(carry,not(or(cin,sum))) != or(carry,not(sum))
| not(and(sum,t1)) = or(carry,not(sum)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(or(cin,sum))),or(carry,not(sum))) ),[0],$fot(not(and(sum,t1)))]]) ).
cnf(refute_0_11309,plain,
( or(carry,not(or(cin,sum))) != or(carry,not(sum))
| not(and(sum,t1)) = or(carry,not(sum)) ),
inference(resolve,[$cnf( $equal(or(carry,not(or(cin,sum))),not(and(sum,t1))) )],[refute_0_11307,refute_0_11308]) ).
cnf(refute_0_11310,plain,
not(and(sum,t1)) = or(carry,not(sum)),
inference(resolve,[$cnf( $equal(or(carry,not(or(cin,sum))),or(carry,not(sum))) )],[refute_0_11291,refute_0_11309]) ).
cnf(refute_0_11311,plain,
( not(and(sum,t1)) != or(carry,not(sum))
| or(carry,not(sum)) = not(and(sum,t1)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(sum,t1)))),bind(Y0,$fot(or(carry,not(sum))))]]) ).
cnf(refute_0_11312,plain,
or(carry,not(sum)) = not(and(sum,t1)),
inference(resolve,[$cnf( $equal(not(and(sum,t1)),or(carry,not(sum))) )],[refute_0_11310,refute_0_11311]) ).
cnf(refute_0_11313,plain,
( or(carry,not(sum)) != not(and(sum,t1))
| or(or(carry,not(sum)),Z) != or(carry,or(not(sum),Z))
| or(not(and(sum,t1)),Z) = or(carry,or(not(sum),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(carry,not(sum)),Z),or(carry,or(not(sum),Z))) ),[0,0],$fot(not(and(sum,t1)))]]) ).
cnf(refute_0_11314,plain,
( or(or(carry,not(sum)),Z) != or(carry,or(not(sum),Z))
| or(not(and(sum,t1)),Z) = or(carry,or(not(sum),Z)) ),
inference(resolve,[$cnf( $equal(or(carry,not(sum)),not(and(sum,t1))) )],[refute_0_11312,refute_0_11313]) ).
cnf(refute_0_11315,plain,
or(not(and(sum,t1)),Z) = or(carry,or(not(sum),Z)),
inference(resolve,[$cnf( $equal(or(or(carry,not(sum)),Z),or(carry,or(not(sum),Z))) )],[refute_0_11276,refute_0_11314]) ).
cnf(refute_0_11316,plain,
or(not(and(sum,t1)),Y) = or(carry,or(not(sum),Y)),
inference(subst,[],[refute_0_11315:[bind(Z,$fot(Y))]]) ).
cnf(refute_0_11317,plain,
or(and(t6,or(a,t7)),Y) = or(and(t6,or(a,t7)),Y),
introduced(tautology,[refl,[$fot(or(and(t6,or(a,t7)),Y))]]) ).
cnf(refute_0_11318,plain,
( and(t6,or(a,t7)) != not(and(sum,t1))
| or(and(t6,or(a,t7)),Y) != or(and(t6,or(a,t7)),Y)
| or(and(t6,or(a,t7)),Y) = or(not(and(sum,t1)),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,or(a,t7)),Y),or(and(t6,or(a,t7)),Y)) ),[1,0],$fot(not(and(sum,t1)))]]) ).
cnf(refute_0_11319,plain,
( and(t6,or(a,t7)) != not(and(sum,t1))
| or(and(t6,or(a,t7)),Y) = or(not(and(sum,t1)),Y) ),
inference(resolve,[$cnf( $equal(or(and(t6,or(a,t7)),Y),or(and(t6,or(a,t7)),Y)) )],[refute_0_11317,refute_0_11318]) ).
cnf(refute_0_11320,plain,
or(and(t6,or(a,t7)),Y) = or(not(and(sum,t1)),Y),
inference(resolve,[$cnf( $equal(and(t6,or(a,t7)),not(and(sum,t1))) )],[refute_0_9487,refute_0_11319]) ).
cnf(refute_0_11321,plain,
( or(and(t6,or(a,t7)),Y) != or(not(and(sum,t1)),Y)
| or(not(and(sum,t1)),Y) != or(carry,or(not(sum),Y))
| or(and(t6,or(a,t7)),Y) = or(carry,or(not(sum),Y)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(t6,or(a,t7)),Y))),bind(Y0,$fot(or(not(and(sum,t1)),Y))),bind(Z0,$fot(or(carry,or(not(sum),Y))))]]) ).
cnf(refute_0_11322,plain,
( or(not(and(sum,t1)),Y) != or(carry,or(not(sum),Y))
| or(and(t6,or(a,t7)),Y) = or(carry,or(not(sum),Y)) ),
inference(resolve,[$cnf( $equal(or(and(t6,or(a,t7)),Y),or(not(and(sum,t1)),Y)) )],[refute_0_11320,refute_0_11321]) ).
cnf(refute_0_11323,plain,
or(and(t6,or(a,t7)),Y) = or(carry,or(not(sum),Y)),
inference(resolve,[$cnf( $equal(or(not(and(sum,t1)),Y),or(carry,or(not(sum),Y))) )],[refute_0_11316,refute_0_11322]) ).
cnf(refute_0_11324,plain,
not(or(and(t6,or(a,t7)),Y)) = not(or(and(t6,or(a,t7)),Y)),
introduced(tautology,[refl,[$fot(not(or(and(t6,or(a,t7)),Y)))]]) ).
cnf(refute_0_11325,plain,
( not(or(and(t6,or(a,t7)),Y)) != not(or(and(t6,or(a,t7)),Y))
| or(and(t6,or(a,t7)),Y) != or(carry,or(not(sum),Y))
| not(or(and(t6,or(a,t7)),Y)) = not(or(carry,or(not(sum),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(and(t6,or(a,t7)),Y)),not(or(and(t6,or(a,t7)),Y))) ),[1,0],$fot(or(carry,or(not(sum),Y)))]]) ).
cnf(refute_0_11326,plain,
( or(and(t6,or(a,t7)),Y) != or(carry,or(not(sum),Y))
| not(or(and(t6,or(a,t7)),Y)) = not(or(carry,or(not(sum),Y))) ),
inference(resolve,[$cnf( $equal(not(or(and(t6,or(a,t7)),Y)),not(or(and(t6,or(a,t7)),Y))) )],[refute_0_11324,refute_0_11325]) ).
cnf(refute_0_11327,plain,
not(or(and(t6,or(a,t7)),Y)) = not(or(carry,or(not(sum),Y))),
inference(resolve,[$cnf( $equal(or(and(t6,or(a,t7)),Y),or(carry,or(not(sum),Y))) )],[refute_0_11323,refute_0_11326]) ).
cnf(refute_0_11328,plain,
or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))) = or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))),
introduced(tautology,[refl,[$fot(or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))))]]) ).
cnf(refute_0_11329,plain,
( not(or(and(t6,or(a,t7)),Y)) != not(or(carry,or(not(sum),Y)))
| or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))) != or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y)))
| or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))) = or(and(t6,and(or(a,t7),Y)),not(or(carry,or(not(sum),Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))),or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y)))) ),[1,1],$fot(not(or(carry,or(not(sum),Y))))]]) ).
cnf(refute_0_11330,plain,
( not(or(and(t6,or(a,t7)),Y)) != not(or(carry,or(not(sum),Y)))
| or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))) = or(and(t6,and(or(a,t7),Y)),not(or(carry,or(not(sum),Y)))) ),
inference(resolve,[$cnf( $equal(or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))),or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y)))) )],[refute_0_11328,refute_0_11329]) ).
cnf(refute_0_11331,plain,
or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))) = or(and(t6,and(or(a,t7),Y)),not(or(carry,or(not(sum),Y)))),
inference(resolve,[$cnf( $equal(not(or(and(t6,or(a,t7)),Y)),not(or(carry,or(not(sum),Y)))) )],[refute_0_11327,refute_0_11330]) ).
cnf(refute_0_11332,plain,
( or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))) != or(and(t6,and(or(a,t7),Y)),not(or(carry,or(not(sum),Y))))
| or(and(t6,and(or(a,t7),Y)),not(or(carry,or(not(sum),Y)))) != or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y)))
| or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))) = or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))))),bind(Y0,$fot(or(and(t6,and(or(a,t7),Y)),not(or(carry,or(not(sum),Y)))))),bind(Z0,$fot(or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y)))))]]) ).
cnf(refute_0_11333,plain,
( or(and(t6,and(or(a,t7),Y)),not(or(carry,or(not(sum),Y)))) != or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y)))
| or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))) = or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y))) ),
inference(resolve,[$cnf( $equal(or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))),or(and(t6,and(or(a,t7),Y)),not(or(carry,or(not(sum),Y))))) )],[refute_0_11331,refute_0_11332]) ).
cnf(refute_0_11334,plain,
or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))) = or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y))),
inference(resolve,[$cnf( $equal(or(and(t6,and(or(a,t7),Y)),not(or(carry,or(not(sum),Y)))),or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y)))) )],[refute_0_11275,refute_0_11333]) ).
cnf(refute_0_11335,plain,
( or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))) != or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y)))
| or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))) != xor(t6,xor(or(a,t7),Y))
| or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y))) = xor(t6,xor(or(a,t7),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))),xor(t6,xor(or(a,t7),Y))) ),[0],$fot(or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y))))]]) ).
cnf(refute_0_11336,plain,
( or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))) != xor(t6,xor(or(a,t7),Y))
| or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y))) = xor(t6,xor(or(a,t7),Y)) ),
inference(resolve,[$cnf( $equal(or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))),or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y)))) )],[refute_0_11334,refute_0_11335]) ).
cnf(refute_0_11337,plain,
or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y))) = xor(t6,xor(or(a,t7),Y)),
inference(resolve,[$cnf( $equal(or(and(t6,and(or(a,t7),Y)),not(or(and(t6,or(a,t7)),Y))),xor(t6,xor(or(a,t7),Y))) )],[refute_0_11274,refute_0_11336]) ).
cnf(refute_0_11338,plain,
or(and(t6,or(carry,t7)),X_26) = or(and(t6,or(carry,t7)),X_26),
introduced(tautology,[refl,[$fot(or(and(t6,or(carry,t7)),X_26))]]) ).
cnf(refute_0_11339,plain,
( and(t6,or(carry,t7)) != and(t6,or(a,t7))
| or(and(t6,or(carry,t7)),X_26) != or(and(t6,or(carry,t7)),X_26)
| or(and(t6,or(carry,t7)),X_26) = or(and(t6,or(a,t7)),X_26) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,or(carry,t7)),X_26),or(and(t6,or(carry,t7)),X_26)) ),[1,0],$fot(and(t6,or(a,t7)))]]) ).
cnf(refute_0_11340,plain,
( and(t6,or(carry,t7)) != and(t6,or(a,t7))
| or(and(t6,or(carry,t7)),X_26) = or(and(t6,or(a,t7)),X_26) ),
inference(resolve,[$cnf( $equal(or(and(t6,or(carry,t7)),X_26),or(and(t6,or(carry,t7)),X_26)) )],[refute_0_11338,refute_0_11339]) ).
cnf(refute_0_11341,plain,
or(and(t6,or(carry,t7)),X_26) = or(and(t6,or(a,t7)),X_26),
inference(resolve,[$cnf( $equal(and(t6,or(carry,t7)),and(t6,or(a,t7))) )],[refute_0_7618,refute_0_11340]) ).
cnf(refute_0_11342,plain,
not(or(and(t6,or(carry,t7)),X_26)) = not(or(and(t6,or(carry,t7)),X_26)),
introduced(tautology,[refl,[$fot(not(or(and(t6,or(carry,t7)),X_26)))]]) ).
cnf(refute_0_11343,plain,
( not(or(and(t6,or(carry,t7)),X_26)) != not(or(and(t6,or(carry,t7)),X_26))
| or(and(t6,or(carry,t7)),X_26) != or(and(t6,or(a,t7)),X_26)
| not(or(and(t6,or(carry,t7)),X_26)) = not(or(and(t6,or(a,t7)),X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(and(t6,or(carry,t7)),X_26)),not(or(and(t6,or(carry,t7)),X_26))) ),[1,0],$fot(or(and(t6,or(a,t7)),X_26))]]) ).
cnf(refute_0_11344,plain,
( or(and(t6,or(carry,t7)),X_26) != or(and(t6,or(a,t7)),X_26)
| not(or(and(t6,or(carry,t7)),X_26)) = not(or(and(t6,or(a,t7)),X_26)) ),
inference(resolve,[$cnf( $equal(not(or(and(t6,or(carry,t7)),X_26)),not(or(and(t6,or(carry,t7)),X_26))) )],[refute_0_11342,refute_0_11343]) ).
cnf(refute_0_11345,plain,
not(or(and(t6,or(carry,t7)),X_26)) = not(or(and(t6,or(a,t7)),X_26)),
inference(resolve,[$cnf( $equal(or(and(t6,or(carry,t7)),X_26),or(and(t6,or(a,t7)),X_26)) )],[refute_0_11341,refute_0_11344]) ).
cnf(refute_0_11346,plain,
( not(or(and(t6,or(carry,t7)),X_26)) != and(xor(t6,or(carry,t7)),not(X_26))
| not(or(and(t6,or(carry,t7)),X_26)) != not(or(and(t6,or(a,t7)),X_26))
| not(or(and(t6,or(a,t7)),X_26)) = and(xor(t6,or(carry,t7)),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(and(t6,or(carry,t7)),X_26)),and(xor(t6,or(carry,t7)),not(X_26))) ),[0],$fot(not(or(and(t6,or(a,t7)),X_26)))]]) ).
cnf(refute_0_11347,plain,
( not(or(and(t6,or(carry,t7)),X_26)) != and(xor(t6,or(carry,t7)),not(X_26))
| not(or(and(t6,or(a,t7)),X_26)) = and(xor(t6,or(carry,t7)),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(or(and(t6,or(carry,t7)),X_26)),not(or(and(t6,or(a,t7)),X_26))) )],[refute_0_11345,refute_0_11346]) ).
cnf(refute_0_11348,plain,
and(xor(t6,or(carry,t7)),not(X_26)) = and(xor(t6,or(carry,t7)),not(X_26)),
introduced(tautology,[refl,[$fot(and(xor(t6,or(carry,t7)),not(X_26)))]]) ).
cnf(refute_0_11349,plain,
( and(xor(t6,or(carry,t7)),not(X_26)) != and(xor(t6,or(carry,t7)),not(X_26))
| xor(t6,or(carry,t7)) != xor(t6,or(a,t7))
| and(xor(t6,or(carry,t7)),not(X_26)) = and(xor(t6,or(a,t7)),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t6,or(carry,t7)),not(X_26)),and(xor(t6,or(carry,t7)),not(X_26))) ),[1,0],$fot(xor(t6,or(a,t7)))]]) ).
cnf(refute_0_11350,plain,
( xor(t6,or(carry,t7)) != xor(t6,or(a,t7))
| and(xor(t6,or(carry,t7)),not(X_26)) = and(xor(t6,or(a,t7)),not(X_26)) ),
inference(resolve,[$cnf( $equal(and(xor(t6,or(carry,t7)),not(X_26)),and(xor(t6,or(carry,t7)),not(X_26))) )],[refute_0_11348,refute_0_11349]) ).
cnf(refute_0_11351,plain,
and(xor(t6,or(carry,t7)),not(X_26)) = and(xor(t6,or(a,t7)),not(X_26)),
inference(resolve,[$cnf( $equal(xor(t6,or(carry,t7)),xor(t6,or(a,t7))) )],[refute_0_7562,refute_0_11350]) ).
cnf(refute_0_11352,plain,
( and(xor(t6,or(carry,t7)),not(X_26)) != and(xor(t6,or(a,t7)),not(X_26))
| not(or(and(t6,or(a,t7)),X_26)) != and(xor(t6,or(carry,t7)),not(X_26))
| not(or(and(t6,or(a,t7)),X_26)) = and(xor(t6,or(a,t7)),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(and(t6,or(a,t7)),X_26)),and(xor(t6,or(carry,t7)),not(X_26))) ),[1],$fot(and(xor(t6,or(a,t7)),not(X_26)))]]) ).
cnf(refute_0_11353,plain,
( not(or(and(t6,or(a,t7)),X_26)) != and(xor(t6,or(carry,t7)),not(X_26))
| not(or(and(t6,or(a,t7)),X_26)) = and(xor(t6,or(a,t7)),not(X_26)) ),
inference(resolve,[$cnf( $equal(and(xor(t6,or(carry,t7)),not(X_26)),and(xor(t6,or(a,t7)),not(X_26))) )],[refute_0_11351,refute_0_11352]) ).
cnf(refute_0_11354,plain,
( not(or(and(t6,or(carry,t7)),X_26)) != and(xor(t6,or(carry,t7)),not(X_26))
| not(or(and(t6,or(a,t7)),X_26)) = and(xor(t6,or(a,t7)),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(or(and(t6,or(a,t7)),X_26)),and(xor(t6,or(carry,t7)),not(X_26))) )],[refute_0_11347,refute_0_11353]) ).
cnf(refute_0_11355,plain,
not(or(and(t6,or(a,t7)),X_26)) = and(xor(t6,or(a,t7)),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(and(t6,or(carry,t7)),X_26)),and(xor(t6,or(carry,t7)),not(X_26))) )],[refute_0_11223,refute_0_11354]) ).
cnf(refute_0_11356,plain,
or(not(and(sum,t1)),X_26) = or(carry,or(not(sum),X_26)),
inference(subst,[],[refute_0_11315:[bind(Z,$fot(X_26))]]) ).
cnf(refute_0_11357,plain,
or(and(t6,or(a,t7)),X_26) = or(and(t6,or(a,t7)),X_26),
introduced(tautology,[refl,[$fot(or(and(t6,or(a,t7)),X_26))]]) ).
cnf(refute_0_11358,plain,
( and(t6,or(a,t7)) != not(and(sum,t1))
| or(and(t6,or(a,t7)),X_26) != or(and(t6,or(a,t7)),X_26)
| or(and(t6,or(a,t7)),X_26) = or(not(and(sum,t1)),X_26) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,or(a,t7)),X_26),or(and(t6,or(a,t7)),X_26)) ),[1,0],$fot(not(and(sum,t1)))]]) ).
cnf(refute_0_11359,plain,
( and(t6,or(a,t7)) != not(and(sum,t1))
| or(and(t6,or(a,t7)),X_26) = or(not(and(sum,t1)),X_26) ),
inference(resolve,[$cnf( $equal(or(and(t6,or(a,t7)),X_26),or(and(t6,or(a,t7)),X_26)) )],[refute_0_11357,refute_0_11358]) ).
cnf(refute_0_11360,plain,
or(and(t6,or(a,t7)),X_26) = or(not(and(sum,t1)),X_26),
inference(resolve,[$cnf( $equal(and(t6,or(a,t7)),not(and(sum,t1))) )],[refute_0_9487,refute_0_11359]) ).
cnf(refute_0_11361,plain,
( or(and(t6,or(a,t7)),X_26) != or(not(and(sum,t1)),X_26)
| or(not(and(sum,t1)),X_26) != or(carry,or(not(sum),X_26))
| or(and(t6,or(a,t7)),X_26) = or(carry,or(not(sum),X_26)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(t6,or(a,t7)),X_26))),bind(Y0,$fot(or(not(and(sum,t1)),X_26))),bind(Z0,$fot(or(carry,or(not(sum),X_26))))]]) ).
cnf(refute_0_11362,plain,
( or(not(and(sum,t1)),X_26) != or(carry,or(not(sum),X_26))
| or(and(t6,or(a,t7)),X_26) = or(carry,or(not(sum),X_26)) ),
inference(resolve,[$cnf( $equal(or(and(t6,or(a,t7)),X_26),or(not(and(sum,t1)),X_26)) )],[refute_0_11360,refute_0_11361]) ).
cnf(refute_0_11363,plain,
or(and(t6,or(a,t7)),X_26) = or(carry,or(not(sum),X_26)),
inference(resolve,[$cnf( $equal(or(not(and(sum,t1)),X_26),or(carry,or(not(sum),X_26))) )],[refute_0_11356,refute_0_11362]) ).
cnf(refute_0_11364,plain,
not(or(and(t6,or(a,t7)),X_26)) = not(or(and(t6,or(a,t7)),X_26)),
introduced(tautology,[refl,[$fot(not(or(and(t6,or(a,t7)),X_26)))]]) ).
cnf(refute_0_11365,plain,
( not(or(and(t6,or(a,t7)),X_26)) != not(or(and(t6,or(a,t7)),X_26))
| or(and(t6,or(a,t7)),X_26) != or(carry,or(not(sum),X_26))
| not(or(and(t6,or(a,t7)),X_26)) = not(or(carry,or(not(sum),X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(and(t6,or(a,t7)),X_26)),not(or(and(t6,or(a,t7)),X_26))) ),[1,0],$fot(or(carry,or(not(sum),X_26)))]]) ).
cnf(refute_0_11366,plain,
( or(and(t6,or(a,t7)),X_26) != or(carry,or(not(sum),X_26))
| not(or(and(t6,or(a,t7)),X_26)) = not(or(carry,or(not(sum),X_26))) ),
inference(resolve,[$cnf( $equal(not(or(and(t6,or(a,t7)),X_26)),not(or(and(t6,or(a,t7)),X_26))) )],[refute_0_11364,refute_0_11365]) ).
cnf(refute_0_11367,plain,
not(or(and(t6,or(a,t7)),X_26)) = not(or(carry,or(not(sum),X_26))),
inference(resolve,[$cnf( $equal(or(and(t6,or(a,t7)),X_26),or(carry,or(not(sum),X_26))) )],[refute_0_11363,refute_0_11366]) ).
cnf(refute_0_11368,plain,
( not(or(and(t6,or(a,t7)),X_26)) != and(xor(t6,or(a,t7)),not(X_26))
| not(or(and(t6,or(a,t7)),X_26)) != not(or(carry,or(not(sum),X_26)))
| not(or(carry,or(not(sum),X_26))) = and(xor(t6,or(a,t7)),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(and(t6,or(a,t7)),X_26)),and(xor(t6,or(a,t7)),not(X_26))) ),[0],$fot(not(or(carry,or(not(sum),X_26))))]]) ).
cnf(refute_0_11369,plain,
( not(or(and(t6,or(a,t7)),X_26)) != and(xor(t6,or(a,t7)),not(X_26))
| not(or(carry,or(not(sum),X_26))) = and(xor(t6,or(a,t7)),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(or(and(t6,or(a,t7)),X_26)),not(or(carry,or(not(sum),X_26)))) )],[refute_0_11367,refute_0_11368]) ).
cnf(refute_0_11370,plain,
and(and(sum,t1),not(X_26)) = and(sum,and(t1,not(X_26))),
inference(subst,[],[and_associative:[bind(X,$fot(sum)),bind(Y,$fot(t1)),bind(Z,$fot(not(X_26)))]]) ).
cnf(refute_0_11371,plain,
and(xor(t6,or(a,t7)),not(X_26)) = and(xor(t6,or(a,t7)),not(X_26)),
introduced(tautology,[refl,[$fot(and(xor(t6,or(a,t7)),not(X_26)))]]) ).
cnf(refute_0_11372,plain,
( and(xor(t6,or(a,t7)),not(X_26)) != and(xor(t6,or(a,t7)),not(X_26))
| xor(t6,or(a,t7)) != and(sum,t1)
| and(xor(t6,or(a,t7)),not(X_26)) = and(and(sum,t1),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t6,or(a,t7)),not(X_26)),and(xor(t6,or(a,t7)),not(X_26))) ),[1,0],$fot(and(sum,t1))]]) ).
cnf(refute_0_11373,plain,
( xor(t6,or(a,t7)) != and(sum,t1)
| and(xor(t6,or(a,t7)),not(X_26)) = and(and(sum,t1),not(X_26)) ),
inference(resolve,[$cnf( $equal(and(xor(t6,or(a,t7)),not(X_26)),and(xor(t6,or(a,t7)),not(X_26))) )],[refute_0_11371,refute_0_11372]) ).
cnf(refute_0_11374,plain,
and(xor(t6,or(a,t7)),not(X_26)) = and(and(sum,t1),not(X_26)),
inference(resolve,[$cnf( $equal(xor(t6,or(a,t7)),and(sum,t1)) )],[refute_0_8447,refute_0_11373]) ).
cnf(refute_0_11375,plain,
( and(and(sum,t1),not(X_26)) != and(sum,and(t1,not(X_26)))
| and(xor(t6,or(a,t7)),not(X_26)) != and(and(sum,t1),not(X_26))
| and(xor(t6,or(a,t7)),not(X_26)) = and(sum,and(t1,not(X_26))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(xor(t6,or(a,t7)),not(X_26)))),bind(Y0,$fot(and(and(sum,t1),not(X_26)))),bind(Z0,$fot(and(sum,and(t1,not(X_26)))))]]) ).
cnf(refute_0_11376,plain,
( and(and(sum,t1),not(X_26)) != and(sum,and(t1,not(X_26)))
| and(xor(t6,or(a,t7)),not(X_26)) = and(sum,and(t1,not(X_26))) ),
inference(resolve,[$cnf( $equal(and(xor(t6,or(a,t7)),not(X_26)),and(and(sum,t1),not(X_26))) )],[refute_0_11374,refute_0_11375]) ).
cnf(refute_0_11377,plain,
and(xor(t6,or(a,t7)),not(X_26)) = and(sum,and(t1,not(X_26))),
inference(resolve,[$cnf( $equal(and(and(sum,t1),not(X_26)),and(sum,and(t1,not(X_26)))) )],[refute_0_11370,refute_0_11376]) ).
cnf(refute_0_11378,plain,
( and(xor(t6,or(a,t7)),not(X_26)) != and(sum,and(t1,not(X_26)))
| not(or(carry,or(not(sum),X_26))) != and(xor(t6,or(a,t7)),not(X_26))
| not(or(carry,or(not(sum),X_26))) = and(sum,and(t1,not(X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,or(not(sum),X_26))),and(xor(t6,or(a,t7)),not(X_26))) ),[1],$fot(and(sum,and(t1,not(X_26))))]]) ).
cnf(refute_0_11379,plain,
( not(or(carry,or(not(sum),X_26))) != and(xor(t6,or(a,t7)),not(X_26))
| not(or(carry,or(not(sum),X_26))) = and(sum,and(t1,not(X_26))) ),
inference(resolve,[$cnf( $equal(and(xor(t6,or(a,t7)),not(X_26)),and(sum,and(t1,not(X_26)))) )],[refute_0_11377,refute_0_11378]) ).
cnf(refute_0_11380,plain,
( not(or(and(t6,or(a,t7)),X_26)) != and(xor(t6,or(a,t7)),not(X_26))
| not(or(carry,or(not(sum),X_26))) = and(sum,and(t1,not(X_26))) ),
inference(resolve,[$cnf( $equal(not(or(carry,or(not(sum),X_26))),and(xor(t6,or(a,t7)),not(X_26))) )],[refute_0_11369,refute_0_11379]) ).
cnf(refute_0_11381,plain,
not(or(carry,or(not(sum),X_26))) = and(sum,and(t1,not(X_26))),
inference(resolve,[$cnf( $equal(not(or(and(t6,or(a,t7)),X_26)),and(xor(t6,or(a,t7)),not(X_26))) )],[refute_0_11355,refute_0_11380]) ).
cnf(refute_0_11382,plain,
not(or(carry,or(not(sum),Y))) = and(sum,and(t1,not(Y))),
inference(subst,[],[refute_0_11381:[bind(X_26,$fot(Y))]]) ).
cnf(refute_0_11383,plain,
or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y))) = or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y))),
introduced(tautology,[refl,[$fot(or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y))))]]) ).
cnf(refute_0_11384,plain,
( not(or(carry,or(not(sum),Y))) != and(sum,and(t1,not(Y)))
| or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y))) != or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y)))
| or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y))) = or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y))),or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y)))) ),[1,0],$fot(and(sum,and(t1,not(Y))))]]) ).
cnf(refute_0_11385,plain,
( not(or(carry,or(not(sum),Y))) != and(sum,and(t1,not(Y)))
| or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y))) = or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))) ),
inference(resolve,[$cnf( $equal(or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y))),or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y)))) )],[refute_0_11383,refute_0_11384]) ).
cnf(refute_0_11386,plain,
or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y))) = or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))),
inference(resolve,[$cnf( $equal(not(or(carry,or(not(sum),Y))),and(sum,and(t1,not(Y)))) )],[refute_0_11382,refute_0_11385]) ).
cnf(refute_0_11387,plain,
( or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y))) != or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y)))
| or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y))) != xor(t6,xor(or(a,t7),Y))
| or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))) = xor(t6,xor(or(a,t7),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y))),xor(t6,xor(or(a,t7),Y))) ),[0],$fot(or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))))]]) ).
cnf(refute_0_11388,plain,
( or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y))) != xor(t6,xor(or(a,t7),Y))
| or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))) = xor(t6,xor(or(a,t7),Y)) ),
inference(resolve,[$cnf( $equal(or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y))),or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y)))) )],[refute_0_11386,refute_0_11387]) ).
cnf(refute_0_11389,plain,
or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))) = xor(t6,xor(or(a,t7),Y)),
inference(resolve,[$cnf( $equal(or(not(or(carry,or(not(sum),Y))),and(t6,and(or(a,t7),Y))),xor(t6,xor(or(a,t7),Y))) )],[refute_0_11337,refute_0_11388]) ).
cnf(refute_0_11390,plain,
xor(X,xor(cin,or(t4,xor(t7,or(a,t7))))) = xor(xor(X,cin),or(t4,xor(t7,or(a,t7)))),
inference(subst,[],[xor_associative:[bind(Y,$fot(cin)),bind(Z,$fot(or(t4,xor(t7,or(a,t7)))))]]) ).
cnf(refute_0_11391,plain,
xor(cin,xor(cin,xor(t6,or(a,t7)))) = xor(t6,or(a,t7)),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(cin)),bind(X_335,$fot(xor(t6,or(a,t7))))]]) ).
cnf(refute_0_11392,plain,
or(and(t4,not(xor(t7,or(a,t7)))),and(not(t4),xor(t7,or(a,t7)))) = xor(t4,xor(t7,or(a,t7))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t4)),bind(Y,$fot(xor(t7,or(a,t7))))]]) ).
cnf(refute_0_11393,plain,
( and(t4,not(xor(t7,or(a,t7)))) != t4
| or(and(t4,not(xor(t7,or(a,t7)))),and(not(t4),xor(t7,or(a,t7)))) != xor(t4,xor(t7,or(a,t7)))
| or(t4,and(not(t4),xor(t7,or(a,t7)))) = xor(t4,xor(t7,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,not(xor(t7,or(a,t7)))),and(not(t4),xor(t7,or(a,t7)))),xor(t4,xor(t7,or(a,t7)))) ),[0,0],$fot(t4)]]) ).
cnf(refute_0_11394,plain,
( or(and(t4,not(xor(t7,or(a,t7)))),and(not(t4),xor(t7,or(a,t7)))) != xor(t4,xor(t7,or(a,t7)))
| or(t4,and(not(t4),xor(t7,or(a,t7)))) = xor(t4,xor(t7,or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t7,or(a,t7)))),t4) )],[refute_0_10361,refute_0_11393]) ).
cnf(refute_0_11395,plain,
or(t4,and(not(t4),xor(t7,or(a,t7)))) = xor(t4,xor(t7,or(a,t7))),
inference(resolve,[$cnf( $equal(or(and(t4,not(xor(t7,or(a,t7)))),and(not(t4),xor(t7,or(a,t7)))),xor(t4,xor(t7,or(a,t7)))) )],[refute_0_11392,refute_0_11394]) ).
cnf(refute_0_11396,plain,
xor(t4,xor(t7,Z)) = xor(xor(t4,t7),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(t4)),bind(Y,$fot(t7))]]) ).
cnf(refute_0_11397,plain,
( xor(t4,t7) != xor(cin,t6)
| xor(t4,xor(t7,Z)) != xor(xor(t4,t7),Z)
| xor(t4,xor(t7,Z)) = xor(xor(cin,t6),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,xor(t7,Z)),xor(xor(t4,t7),Z)) ),[1,0],$fot(xor(cin,t6))]]) ).
cnf(refute_0_11398,plain,
( xor(t4,xor(t7,Z)) != xor(xor(t4,t7),Z)
| xor(t4,xor(t7,Z)) = xor(xor(cin,t6),Z) ),
inference(resolve,[$cnf( $equal(xor(t4,t7),xor(cin,t6)) )],[refute_0_2524,refute_0_11397]) ).
cnf(refute_0_11399,plain,
xor(t4,xor(t7,Z)) = xor(xor(cin,t6),Z),
inference(resolve,[$cnf( $equal(xor(t4,xor(t7,Z)),xor(xor(t4,t7),Z)) )],[refute_0_11396,refute_0_11398]) ).
cnf(refute_0_11400,plain,
xor(xor(cin,t6),Z) = xor(cin,xor(t6,Z)),
inference(subst,[],[refute_0_526:[bind(X,$fot(cin)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_11401,plain,
( xor(t4,xor(t7,Z)) != xor(xor(cin,t6),Z)
| xor(xor(cin,t6),Z) != xor(cin,xor(t6,Z))
| xor(t4,xor(t7,Z)) = xor(cin,xor(t6,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(t4,xor(t7,Z)),xor(cin,xor(t6,Z))) ),[0],$fot(xor(xor(cin,t6),Z))]]) ).
cnf(refute_0_11402,plain,
( xor(t4,xor(t7,Z)) != xor(xor(cin,t6),Z)
| xor(t4,xor(t7,Z)) = xor(cin,xor(t6,Z)) ),
inference(resolve,[$cnf( $equal(xor(xor(cin,t6),Z),xor(cin,xor(t6,Z))) )],[refute_0_11400,refute_0_11401]) ).
cnf(refute_0_11403,plain,
xor(t4,xor(t7,Z)) = xor(cin,xor(t6,Z)),
inference(resolve,[$cnf( $equal(xor(t4,xor(t7,Z)),xor(xor(cin,t6),Z)) )],[refute_0_11399,refute_0_11402]) ).
cnf(refute_0_11404,plain,
xor(t4,xor(t7,or(a,t7))) = xor(cin,xor(t6,or(a,t7))),
inference(subst,[],[refute_0_11403:[bind(Z,$fot(or(a,t7)))]]) ).
cnf(refute_0_11405,plain,
( or(t4,and(not(t4),xor(t7,or(a,t7)))) != xor(t4,xor(t7,or(a,t7)))
| xor(t4,xor(t7,or(a,t7))) != xor(cin,xor(t6,or(a,t7)))
| or(t4,and(not(t4),xor(t7,or(a,t7)))) = xor(cin,xor(t6,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(t4,and(not(t4),xor(t7,or(a,t7)))),xor(cin,xor(t6,or(a,t7)))) ),[0],$fot(xor(t4,xor(t7,or(a,t7))))]]) ).
cnf(refute_0_11406,plain,
( or(t4,and(not(t4),xor(t7,or(a,t7)))) != xor(t4,xor(t7,or(a,t7)))
| or(t4,and(not(t4),xor(t7,or(a,t7)))) = xor(cin,xor(t6,or(a,t7))) ),
inference(resolve,[$cnf( $equal(xor(t4,xor(t7,or(a,t7))),xor(cin,xor(t6,or(a,t7)))) )],[refute_0_11404,refute_0_11405]) ).
cnf(refute_0_11407,plain,
or(t4,and(not(t4),xor(t7,or(a,t7)))) = xor(cin,xor(t6,or(a,t7))),
inference(resolve,[$cnf( $equal(or(t4,and(not(t4),xor(t7,or(a,t7)))),xor(t4,xor(t7,or(a,t7)))) )],[refute_0_11395,refute_0_11406]) ).
cnf(refute_0_11408,plain,
or(t4,and(not(t4),xor(t7,or(a,t7)))) = or(t4,and(not(t4),xor(t7,or(a,t7)))),
introduced(tautology,[refl,[$fot(or(t4,and(not(t4),xor(t7,or(a,t7)))))]]) ).
cnf(refute_0_11409,plain,
( and(not(t4),xor(t7,or(a,t7))) != xor(t7,or(a,t7))
| or(t4,and(not(t4),xor(t7,or(a,t7)))) != or(t4,and(not(t4),xor(t7,or(a,t7))))
| or(t4,and(not(t4),xor(t7,or(a,t7)))) = or(t4,xor(t7,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,and(not(t4),xor(t7,or(a,t7)))),or(t4,and(not(t4),xor(t7,or(a,t7))))) ),[1,1],$fot(xor(t7,or(a,t7)))]]) ).
cnf(refute_0_11410,plain,
( and(not(t4),xor(t7,or(a,t7))) != xor(t7,or(a,t7))
| or(t4,and(not(t4),xor(t7,or(a,t7)))) = or(t4,xor(t7,or(a,t7))) ),
inference(resolve,[$cnf( $equal(or(t4,and(not(t4),xor(t7,or(a,t7)))),or(t4,and(not(t4),xor(t7,or(a,t7))))) )],[refute_0_11408,refute_0_11409]) ).
cnf(refute_0_11411,plain,
or(t4,and(not(t4),xor(t7,or(a,t7)))) = or(t4,xor(t7,or(a,t7))),
inference(resolve,[$cnf( $equal(and(not(t4),xor(t7,or(a,t7))),xor(t7,or(a,t7))) )],[refute_0_10934,refute_0_11410]) ).
cnf(refute_0_11412,plain,
( or(t4,and(not(t4),xor(t7,or(a,t7)))) != or(t4,xor(t7,or(a,t7)))
| or(t4,and(not(t4),xor(t7,or(a,t7)))) != xor(cin,xor(t6,or(a,t7)))
| or(t4,xor(t7,or(a,t7))) = xor(cin,xor(t6,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,and(not(t4),xor(t7,or(a,t7)))),xor(cin,xor(t6,or(a,t7)))) ),[0],$fot(or(t4,xor(t7,or(a,t7))))]]) ).
cnf(refute_0_11413,plain,
( or(t4,and(not(t4),xor(t7,or(a,t7)))) != xor(cin,xor(t6,or(a,t7)))
| or(t4,xor(t7,or(a,t7))) = xor(cin,xor(t6,or(a,t7))) ),
inference(resolve,[$cnf( $equal(or(t4,and(not(t4),xor(t7,or(a,t7)))),or(t4,xor(t7,or(a,t7)))) )],[refute_0_11411,refute_0_11412]) ).
cnf(refute_0_11414,plain,
or(t4,xor(t7,or(a,t7))) = xor(cin,xor(t6,or(a,t7))),
inference(resolve,[$cnf( $equal(or(t4,and(not(t4),xor(t7,or(a,t7)))),xor(cin,xor(t6,or(a,t7)))) )],[refute_0_11407,refute_0_11413]) ).
cnf(refute_0_11415,plain,
( or(t4,xor(t7,or(a,t7))) != xor(cin,xor(t6,or(a,t7)))
| xor(cin,xor(t6,or(a,t7))) = or(t4,xor(t7,or(a,t7))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(t4,xor(t7,or(a,t7))))),bind(Y0,$fot(xor(cin,xor(t6,or(a,t7)))))]]) ).
cnf(refute_0_11416,plain,
xor(cin,xor(t6,or(a,t7))) = or(t4,xor(t7,or(a,t7))),
inference(resolve,[$cnf( $equal(or(t4,xor(t7,or(a,t7))),xor(cin,xor(t6,or(a,t7)))) )],[refute_0_11414,refute_0_11415]) ).
cnf(refute_0_11417,plain,
( xor(cin,xor(cin,xor(t6,or(a,t7)))) != xor(t6,or(a,t7))
| xor(cin,xor(t6,or(a,t7))) != or(t4,xor(t7,or(a,t7)))
| xor(cin,or(t4,xor(t7,or(a,t7)))) = xor(t6,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(cin,xor(t6,or(a,t7)))),xor(t6,or(a,t7))) ),[0,1],$fot(or(t4,xor(t7,or(a,t7))))]]) ).
cnf(refute_0_11418,plain,
( xor(cin,xor(cin,xor(t6,or(a,t7)))) != xor(t6,or(a,t7))
| xor(cin,or(t4,xor(t7,or(a,t7)))) = xor(t6,or(a,t7)) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t6,or(a,t7))),or(t4,xor(t7,or(a,t7)))) )],[refute_0_11416,refute_0_11417]) ).
cnf(refute_0_11419,plain,
xor(cin,or(t4,xor(t7,or(a,t7)))) = xor(t6,or(a,t7)),
inference(resolve,[$cnf( $equal(xor(cin,xor(cin,xor(t6,or(a,t7)))),xor(t6,or(a,t7))) )],[refute_0_11391,refute_0_11418]) ).
cnf(refute_0_11420,plain,
( xor(X,xor(cin,or(t4,xor(t7,or(a,t7))))) != xor(xor(X,cin),or(t4,xor(t7,or(a,t7))))
| xor(cin,or(t4,xor(t7,or(a,t7)))) != xor(t6,or(a,t7))
| xor(X,xor(t6,or(a,t7))) = xor(xor(X,cin),or(t4,xor(t7,or(a,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,xor(cin,or(t4,xor(t7,or(a,t7))))),xor(xor(X,cin),or(t4,xor(t7,or(a,t7))))) ),[0,1],$fot(xor(t6,or(a,t7)))]]) ).
cnf(refute_0_11421,plain,
( xor(X,xor(cin,or(t4,xor(t7,or(a,t7))))) != xor(xor(X,cin),or(t4,xor(t7,or(a,t7))))
| xor(X,xor(t6,or(a,t7))) = xor(xor(X,cin),or(t4,xor(t7,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(xor(cin,or(t4,xor(t7,or(a,t7)))),xor(t6,or(a,t7))) )],[refute_0_11419,refute_0_11420]) ).
cnf(refute_0_11422,plain,
xor(X,xor(t6,or(a,t7))) = xor(xor(X,cin),or(t4,xor(t7,or(a,t7)))),
inference(resolve,[$cnf( $equal(xor(X,xor(cin,or(t4,xor(t7,or(a,t7))))),xor(xor(X,cin),or(t4,xor(t7,or(a,t7))))) )],[refute_0_11390,refute_0_11421]) ).
cnf(refute_0_11423,plain,
xor(cin,xor(cin,xor(t6,xor(or(a,t7),X)))) = xor(t6,xor(or(a,t7),X)),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(cin)),bind(X_335,$fot(xor(t6,xor(or(a,t7),X))))]]) ).
cnf(refute_0_11424,plain,
xor(sum,xor(t5,Z)) = xor(xor(sum,t5),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(sum)),bind(Y,$fot(t5))]]) ).
cnf(refute_0_11425,plain,
( xor(sum,t5) != xor(cin,t6)
| xor(sum,xor(t5,Z)) != xor(xor(sum,t5),Z)
| xor(sum,xor(t5,Z)) = xor(xor(cin,t6),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,xor(t5,Z)),xor(xor(sum,t5),Z)) ),[1,0],$fot(xor(cin,t6))]]) ).
cnf(refute_0_11426,plain,
( xor(sum,xor(t5,Z)) != xor(xor(sum,t5),Z)
| xor(sum,xor(t5,Z)) = xor(xor(cin,t6),Z) ),
inference(resolve,[$cnf( $equal(xor(sum,t5),xor(cin,t6)) )],[refute_0_5357,refute_0_11425]) ).
cnf(refute_0_11427,plain,
xor(sum,xor(t5,Z)) = xor(xor(cin,t6),Z),
inference(resolve,[$cnf( $equal(xor(sum,xor(t5,Z)),xor(xor(sum,t5),Z)) )],[refute_0_11424,refute_0_11426]) ).
cnf(refute_0_11428,plain,
( xor(sum,xor(t5,Z)) != xor(xor(cin,t6),Z)
| xor(xor(cin,t6),Z) != xor(cin,xor(t6,Z))
| xor(sum,xor(t5,Z)) = xor(cin,xor(t6,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(sum,xor(t5,Z)),xor(cin,xor(t6,Z))) ),[0],$fot(xor(xor(cin,t6),Z))]]) ).
cnf(refute_0_11429,plain,
( xor(sum,xor(t5,Z)) != xor(xor(cin,t6),Z)
| xor(sum,xor(t5,Z)) = xor(cin,xor(t6,Z)) ),
inference(resolve,[$cnf( $equal(xor(xor(cin,t6),Z),xor(cin,xor(t6,Z))) )],[refute_0_11400,refute_0_11428]) ).
cnf(refute_0_11430,plain,
xor(sum,xor(t5,Z)) = xor(cin,xor(t6,Z)),
inference(resolve,[$cnf( $equal(xor(sum,xor(t5,Z)),xor(xor(cin,t6),Z)) )],[refute_0_11427,refute_0_11429]) ).
cnf(refute_0_11431,plain,
xor(sum,xor(t5,X_394)) = xor(cin,xor(t6,X_394)),
inference(subst,[],[refute_0_11430:[bind(Z,$fot(X_394))]]) ).
cnf(refute_0_11432,plain,
xor(X_394,t5) = xor(t5,X_394),
inference(subst,[],[xor_commutative:[bind(X,$fot(X_394)),bind(Y,$fot(t5))]]) ).
cnf(refute_0_11433,plain,
( xor(X_394,t5) != xor(t5,X_394)
| xor(t5,X_394) = xor(X_394,t5) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X_394,t5))),bind(Y0,$fot(xor(t5,X_394)))]]) ).
cnf(refute_0_11434,plain,
xor(t5,X_394) = xor(X_394,t5),
inference(resolve,[$cnf( $equal(xor(X_394,t5),xor(t5,X_394)) )],[refute_0_11432,refute_0_11433]) ).
cnf(refute_0_11435,plain,
( xor(sum,xor(t5,X_394)) != xor(cin,xor(t6,X_394))
| xor(t5,X_394) != xor(X_394,t5)
| xor(sum,xor(X_394,t5)) = xor(cin,xor(t6,X_394)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,xor(t5,X_394)),xor(cin,xor(t6,X_394))) ),[0,1],$fot(xor(X_394,t5))]]) ).
cnf(refute_0_11436,plain,
( xor(sum,xor(t5,X_394)) != xor(cin,xor(t6,X_394))
| xor(sum,xor(X_394,t5)) = xor(cin,xor(t6,X_394)) ),
inference(resolve,[$cnf( $equal(xor(t5,X_394),xor(X_394,t5)) )],[refute_0_11434,refute_0_11435]) ).
cnf(refute_0_11437,plain,
xor(sum,xor(X_394,t5)) = xor(cin,xor(t6,X_394)),
inference(resolve,[$cnf( $equal(xor(sum,xor(t5,X_394)),xor(cin,xor(t6,X_394))) )],[refute_0_11431,refute_0_11436]) ).
cnf(refute_0_11438,plain,
xor(sum,xor(X_423,t5)) = xor(cin,xor(t6,X_423)),
inference(subst,[],[refute_0_11437:[bind(X_394,$fot(X_423))]]) ).
cnf(refute_0_11439,plain,
xor(X_423,t6) = xor(t6,X_423),
inference(subst,[],[xor_commutative:[bind(X,$fot(X_423)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_11440,plain,
( xor(X_423,t6) != xor(t6,X_423)
| xor(t6,X_423) = xor(X_423,t6) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X_423,t6))),bind(Y0,$fot(xor(t6,X_423)))]]) ).
cnf(refute_0_11441,plain,
xor(t6,X_423) = xor(X_423,t6),
inference(resolve,[$cnf( $equal(xor(X_423,t6),xor(t6,X_423)) )],[refute_0_11439,refute_0_11440]) ).
cnf(refute_0_11442,plain,
( xor(sum,xor(X_423,t5)) != xor(cin,xor(t6,X_423))
| xor(t6,X_423) != xor(X_423,t6)
| xor(sum,xor(X_423,t5)) = xor(cin,xor(X_423,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,xor(X_423,t5)),xor(cin,xor(t6,X_423))) ),[1,1],$fot(xor(X_423,t6))]]) ).
cnf(refute_0_11443,plain,
( xor(sum,xor(X_423,t5)) != xor(cin,xor(t6,X_423))
| xor(sum,xor(X_423,t5)) = xor(cin,xor(X_423,t6)) ),
inference(resolve,[$cnf( $equal(xor(t6,X_423),xor(X_423,t6)) )],[refute_0_11441,refute_0_11442]) ).
cnf(refute_0_11444,plain,
xor(sum,xor(X_423,t5)) = xor(cin,xor(X_423,t6)),
inference(resolve,[$cnf( $equal(xor(sum,xor(X_423,t5)),xor(cin,xor(t6,X_423))) )],[refute_0_11438,refute_0_11443]) ).
cnf(refute_0_11445,plain,
( xor(sum,xor(X_423,t5)) != xor(cin,xor(X_423,t6))
| xor(sum,xor(X_423,t5)) != xor(cin,xor(t6,X_423))
| xor(cin,xor(t6,X_423)) = xor(cin,xor(X_423,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,xor(X_423,t5)),xor(cin,xor(X_423,t6))) ),[0],$fot(xor(cin,xor(t6,X_423)))]]) ).
cnf(refute_0_11446,plain,
( xor(sum,xor(X_423,t5)) != xor(cin,xor(X_423,t6))
| xor(cin,xor(t6,X_423)) = xor(cin,xor(X_423,t6)) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(X_423,t5)),xor(cin,xor(t6,X_423))) )],[refute_0_11438,refute_0_11445]) ).
cnf(refute_0_11447,plain,
xor(cin,xor(t6,X_423)) = xor(cin,xor(X_423,t6)),
inference(resolve,[$cnf( $equal(xor(sum,xor(X_423,t5)),xor(cin,xor(X_423,t6))) )],[refute_0_11444,refute_0_11446]) ).
cnf(refute_0_11448,plain,
( xor(cin,xor(t6,X_423)) != xor(cin,xor(X_423,t6))
| xor(cin,xor(X_423,t6)) = xor(cin,xor(t6,X_423)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(cin,xor(t6,X_423)))),bind(Y0,$fot(xor(cin,xor(X_423,t6))))]]) ).
cnf(refute_0_11449,plain,
xor(cin,xor(X_423,t6)) = xor(cin,xor(t6,X_423)),
inference(resolve,[$cnf( $equal(xor(cin,xor(t6,X_423)),xor(cin,xor(X_423,t6))) )],[refute_0_11447,refute_0_11448]) ).
cnf(refute_0_11450,plain,
xor(cin,xor(xor(or(a,t7),X),t6)) = xor(cin,xor(t6,xor(or(a,t7),X))),
inference(subst,[],[refute_0_11449:[bind(X_423,$fot(xor(or(a,t7),X)))]]) ).
cnf(refute_0_11451,plain,
xor(t6,xor(cin,xor(or(a,t7),X))) = xor(cin,xor(xor(or(a,t7),X),t6)),
inference(subst,[],[refute_0_7460:[bind(X,$fot(cin)),bind(Y,$fot(xor(or(a,t7),X)))]]) ).
cnf(refute_0_11452,plain,
( xor(cin,xor(xor(or(a,t7),X),t6)) != xor(cin,xor(t6,xor(or(a,t7),X)))
| xor(t6,xor(cin,xor(or(a,t7),X))) != xor(cin,xor(xor(or(a,t7),X),t6))
| xor(t6,xor(cin,xor(or(a,t7),X))) = xor(cin,xor(t6,xor(or(a,t7),X))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,xor(cin,xor(or(a,t7),X))))),bind(Y0,$fot(xor(cin,xor(xor(or(a,t7),X),t6)))),bind(Z0,$fot(xor(cin,xor(t6,xor(or(a,t7),X)))))]]) ).
cnf(refute_0_11453,plain,
( xor(cin,xor(xor(or(a,t7),X),t6)) != xor(cin,xor(t6,xor(or(a,t7),X)))
| xor(t6,xor(cin,xor(or(a,t7),X))) = xor(cin,xor(t6,xor(or(a,t7),X))) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(cin,xor(or(a,t7),X))),xor(cin,xor(xor(or(a,t7),X),t6))) )],[refute_0_11451,refute_0_11452]) ).
cnf(refute_0_11454,plain,
xor(t6,xor(cin,xor(or(a,t7),X))) = xor(cin,xor(t6,xor(or(a,t7),X))),
inference(resolve,[$cnf( $equal(xor(cin,xor(xor(or(a,t7),X),t6)),xor(cin,xor(t6,xor(or(a,t7),X)))) )],[refute_0_11450,refute_0_11453]) ).
cnf(refute_0_11455,plain,
xor(or(a,t7),xor(X,cin)) = xor(cin,xor(or(a,t7),X)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(cin)),bind(X_333,$fot(or(a,t7))),bind(X_334,$fot(X))]]) ).
cnf(refute_0_11456,plain,
xor(t6,xor(or(a,t7),xor(X,cin))) = xor(t6,xor(or(a,t7),xor(X,cin))),
introduced(tautology,[refl,[$fot(xor(t6,xor(or(a,t7),xor(X,cin))))]]) ).
cnf(refute_0_11457,plain,
( xor(or(a,t7),xor(X,cin)) != xor(cin,xor(or(a,t7),X))
| xor(t6,xor(or(a,t7),xor(X,cin))) != xor(t6,xor(or(a,t7),xor(X,cin)))
| xor(t6,xor(or(a,t7),xor(X,cin))) = xor(t6,xor(cin,xor(or(a,t7),X))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,xor(or(a,t7),xor(X,cin))),xor(t6,xor(or(a,t7),xor(X,cin)))) ),[1,1],$fot(xor(cin,xor(or(a,t7),X)))]]) ).
cnf(refute_0_11458,plain,
( xor(or(a,t7),xor(X,cin)) != xor(cin,xor(or(a,t7),X))
| xor(t6,xor(or(a,t7),xor(X,cin))) = xor(t6,xor(cin,xor(or(a,t7),X))) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(or(a,t7),xor(X,cin))),xor(t6,xor(or(a,t7),xor(X,cin)))) )],[refute_0_11456,refute_0_11457]) ).
cnf(refute_0_11459,plain,
xor(t6,xor(or(a,t7),xor(X,cin))) = xor(t6,xor(cin,xor(or(a,t7),X))),
inference(resolve,[$cnf( $equal(xor(or(a,t7),xor(X,cin)),xor(cin,xor(or(a,t7),X))) )],[refute_0_11455,refute_0_11458]) ).
cnf(refute_0_11460,plain,
( xor(t6,xor(cin,xor(or(a,t7),X))) != xor(cin,xor(t6,xor(or(a,t7),X)))
| xor(t6,xor(or(a,t7),xor(X,cin))) != xor(t6,xor(cin,xor(or(a,t7),X)))
| xor(t6,xor(or(a,t7),xor(X,cin))) = xor(cin,xor(t6,xor(or(a,t7),X))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,xor(or(a,t7),xor(X,cin))))),bind(Y0,$fot(xor(t6,xor(cin,xor(or(a,t7),X))))),bind(Z0,$fot(xor(cin,xor(t6,xor(or(a,t7),X)))))]]) ).
cnf(refute_0_11461,plain,
( xor(t6,xor(cin,xor(or(a,t7),X))) != xor(cin,xor(t6,xor(or(a,t7),X)))
| xor(t6,xor(or(a,t7),xor(X,cin))) = xor(cin,xor(t6,xor(or(a,t7),X))) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(or(a,t7),xor(X,cin))),xor(t6,xor(cin,xor(or(a,t7),X)))) )],[refute_0_11459,refute_0_11460]) ).
cnf(refute_0_11462,plain,
xor(t6,xor(or(a,t7),xor(X,cin))) = xor(cin,xor(t6,xor(or(a,t7),X))),
inference(resolve,[$cnf( $equal(xor(t6,xor(cin,xor(or(a,t7),X))),xor(cin,xor(t6,xor(or(a,t7),X)))) )],[refute_0_11454,refute_0_11461]) ).
cnf(refute_0_11463,plain,
xor(cin,xor(t6,xor(or(a,t7),xor(X,cin)))) = xor(cin,xor(t6,xor(or(a,t7),xor(X,cin)))),
introduced(tautology,[refl,[$fot(xor(cin,xor(t6,xor(or(a,t7),xor(X,cin)))))]]) ).
cnf(refute_0_11464,plain,
( xor(cin,xor(t6,xor(or(a,t7),xor(X,cin)))) != xor(cin,xor(t6,xor(or(a,t7),xor(X,cin))))
| xor(t6,xor(or(a,t7),xor(X,cin))) != xor(cin,xor(t6,xor(or(a,t7),X)))
| xor(cin,xor(t6,xor(or(a,t7),xor(X,cin)))) = xor(cin,xor(cin,xor(t6,xor(or(a,t7),X)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t6,xor(or(a,t7),xor(X,cin)))),xor(cin,xor(t6,xor(or(a,t7),xor(X,cin))))) ),[1,1],$fot(xor(cin,xor(t6,xor(or(a,t7),X))))]]) ).
cnf(refute_0_11465,plain,
( xor(t6,xor(or(a,t7),xor(X,cin))) != xor(cin,xor(t6,xor(or(a,t7),X)))
| xor(cin,xor(t6,xor(or(a,t7),xor(X,cin)))) = xor(cin,xor(cin,xor(t6,xor(or(a,t7),X)))) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t6,xor(or(a,t7),xor(X,cin)))),xor(cin,xor(t6,xor(or(a,t7),xor(X,cin))))) )],[refute_0_11463,refute_0_11464]) ).
cnf(refute_0_11466,plain,
xor(cin,xor(t6,xor(or(a,t7),xor(X,cin)))) = xor(cin,xor(cin,xor(t6,xor(or(a,t7),X)))),
inference(resolve,[$cnf( $equal(xor(t6,xor(or(a,t7),xor(X,cin))),xor(cin,xor(t6,xor(or(a,t7),X)))) )],[refute_0_11462,refute_0_11465]) ).
cnf(refute_0_11467,plain,
( xor(cin,xor(cin,xor(t6,xor(or(a,t7),X)))) != xor(t6,xor(or(a,t7),X))
| xor(cin,xor(t6,xor(or(a,t7),xor(X,cin)))) != xor(cin,xor(cin,xor(t6,xor(or(a,t7),X))))
| xor(cin,xor(t6,xor(or(a,t7),xor(X,cin)))) = xor(t6,xor(or(a,t7),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(cin,xor(t6,xor(or(a,t7),xor(X,cin)))))),bind(Y0,$fot(xor(cin,xor(cin,xor(t6,xor(or(a,t7),X)))))),bind(Z0,$fot(xor(t6,xor(or(a,t7),X))))]]) ).
cnf(refute_0_11468,plain,
( xor(cin,xor(cin,xor(t6,xor(or(a,t7),X)))) != xor(t6,xor(or(a,t7),X))
| xor(cin,xor(t6,xor(or(a,t7),xor(X,cin)))) = xor(t6,xor(or(a,t7),X)) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t6,xor(or(a,t7),xor(X,cin)))),xor(cin,xor(cin,xor(t6,xor(or(a,t7),X))))) )],[refute_0_11466,refute_0_11467]) ).
cnf(refute_0_11469,plain,
xor(cin,xor(t6,xor(or(a,t7),xor(X,cin)))) = xor(t6,xor(or(a,t7),X)),
inference(resolve,[$cnf( $equal(xor(cin,xor(cin,xor(t6,xor(or(a,t7),X)))),xor(t6,xor(or(a,t7),X))) )],[refute_0_11423,refute_0_11468]) ).
cnf(refute_0_11470,plain,
xor(X,xor(cin,xor(t6,or(a,t7)))) = xor(xor(X,cin),xor(t6,or(a,t7))),
inference(subst,[],[xor_associative:[bind(Y,$fot(cin)),bind(Z,$fot(xor(t6,or(a,t7))))]]) ).
cnf(refute_0_11471,plain,
( xor(X,xor(cin,xor(t6,or(a,t7)))) != xor(xor(X,cin),xor(t6,or(a,t7)))
| xor(cin,xor(t6,or(a,t7))) != or(t4,xor(t7,or(a,t7)))
| xor(X,or(t4,xor(t7,or(a,t7)))) = xor(xor(X,cin),xor(t6,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,xor(cin,xor(t6,or(a,t7)))),xor(xor(X,cin),xor(t6,or(a,t7)))) ),[0,1],$fot(or(t4,xor(t7,or(a,t7))))]]) ).
cnf(refute_0_11472,plain,
( xor(X,xor(cin,xor(t6,or(a,t7)))) != xor(xor(X,cin),xor(t6,or(a,t7)))
| xor(X,or(t4,xor(t7,or(a,t7)))) = xor(xor(X,cin),xor(t6,or(a,t7))) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t6,or(a,t7))),or(t4,xor(t7,or(a,t7)))) )],[refute_0_11416,refute_0_11471]) ).
cnf(refute_0_11473,plain,
xor(X,or(t4,xor(t7,or(a,t7)))) = xor(xor(X,cin),xor(t6,or(a,t7))),
inference(resolve,[$cnf( $equal(xor(X,xor(cin,xor(t6,or(a,t7)))),xor(xor(X,cin),xor(t6,or(a,t7)))) )],[refute_0_11470,refute_0_11472]) ).
cnf(refute_0_11474,plain,
xor(t6,xor(xor(X,cin),or(a,t7))) = xor(t6,xor(or(a,t7),xor(X,cin))),
inference(subst,[],[refute_0_2105:[bind(X_333,$fot(t6)),bind(X_334,$fot(xor(X,cin))),bind(X_335,$fot(or(a,t7)))]]) ).
cnf(refute_0_11475,plain,
xor(xor(X,cin),xor(t6,or(a,t7))) = xor(t6,xor(xor(X,cin),or(a,t7))),
inference(subst,[],[refute_0_6345:[bind(Z,$fot(or(a,t7))),bind(X_545,$fot(xor(X,cin)))]]) ).
cnf(refute_0_11476,plain,
( xor(t6,xor(xor(X,cin),or(a,t7))) != xor(t6,xor(or(a,t7),xor(X,cin)))
| xor(xor(X,cin),xor(t6,or(a,t7))) != xor(t6,xor(xor(X,cin),or(a,t7)))
| xor(xor(X,cin),xor(t6,or(a,t7))) = xor(t6,xor(or(a,t7),xor(X,cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X,cin),xor(t6,or(a,t7))))),bind(Y0,$fot(xor(t6,xor(xor(X,cin),or(a,t7))))),bind(Z0,$fot(xor(t6,xor(or(a,t7),xor(X,cin)))))]]) ).
cnf(refute_0_11477,plain,
( xor(t6,xor(xor(X,cin),or(a,t7))) != xor(t6,xor(or(a,t7),xor(X,cin)))
| xor(xor(X,cin),xor(t6,or(a,t7))) = xor(t6,xor(or(a,t7),xor(X,cin))) ),
inference(resolve,[$cnf( $equal(xor(xor(X,cin),xor(t6,or(a,t7))),xor(t6,xor(xor(X,cin),or(a,t7)))) )],[refute_0_11475,refute_0_11476]) ).
cnf(refute_0_11478,plain,
xor(xor(X,cin),xor(t6,or(a,t7))) = xor(t6,xor(or(a,t7),xor(X,cin))),
inference(resolve,[$cnf( $equal(xor(t6,xor(xor(X,cin),or(a,t7))),xor(t6,xor(or(a,t7),xor(X,cin)))) )],[refute_0_11474,refute_0_11477]) ).
cnf(refute_0_11479,plain,
( xor(t6,xor(or(a,t7),xor(X,cin))) != xor(cin,xor(t6,xor(or(a,t7),X)))
| xor(xor(X,cin),xor(t6,or(a,t7))) != xor(t6,xor(or(a,t7),xor(X,cin)))
| xor(xor(X,cin),xor(t6,or(a,t7))) = xor(cin,xor(t6,xor(or(a,t7),X))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X,cin),xor(t6,or(a,t7))))),bind(Y0,$fot(xor(t6,xor(or(a,t7),xor(X,cin))))),bind(Z0,$fot(xor(cin,xor(t6,xor(or(a,t7),X)))))]]) ).
cnf(refute_0_11480,plain,
( xor(t6,xor(or(a,t7),xor(X,cin))) != xor(cin,xor(t6,xor(or(a,t7),X)))
| xor(xor(X,cin),xor(t6,or(a,t7))) = xor(cin,xor(t6,xor(or(a,t7),X))) ),
inference(resolve,[$cnf( $equal(xor(xor(X,cin),xor(t6,or(a,t7))),xor(t6,xor(or(a,t7),xor(X,cin)))) )],[refute_0_11478,refute_0_11479]) ).
cnf(refute_0_11481,plain,
xor(xor(X,cin),xor(t6,or(a,t7))) = xor(cin,xor(t6,xor(or(a,t7),X))),
inference(resolve,[$cnf( $equal(xor(t6,xor(or(a,t7),xor(X,cin))),xor(cin,xor(t6,xor(or(a,t7),X)))) )],[refute_0_11462,refute_0_11480]) ).
cnf(refute_0_11482,plain,
( xor(X,or(t4,xor(t7,or(a,t7)))) != xor(xor(X,cin),xor(t6,or(a,t7)))
| xor(xor(X,cin),xor(t6,or(a,t7))) != xor(cin,xor(t6,xor(or(a,t7),X)))
| xor(X,or(t4,xor(t7,or(a,t7)))) = xor(cin,xor(t6,xor(or(a,t7),X))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(X,or(t4,xor(t7,or(a,t7)))),xor(cin,xor(t6,xor(or(a,t7),X)))) ),[0],$fot(xor(xor(X,cin),xor(t6,or(a,t7))))]]) ).
cnf(refute_0_11483,plain,
( xor(X,or(t4,xor(t7,or(a,t7)))) != xor(xor(X,cin),xor(t6,or(a,t7)))
| xor(X,or(t4,xor(t7,or(a,t7)))) = xor(cin,xor(t6,xor(or(a,t7),X))) ),
inference(resolve,[$cnf( $equal(xor(xor(X,cin),xor(t6,or(a,t7))),xor(cin,xor(t6,xor(or(a,t7),X)))) )],[refute_0_11481,refute_0_11482]) ).
cnf(refute_0_11484,plain,
xor(X,or(t4,xor(t7,or(a,t7)))) = xor(cin,xor(t6,xor(or(a,t7),X))),
inference(resolve,[$cnf( $equal(xor(X,or(t4,xor(t7,or(a,t7)))),xor(xor(X,cin),xor(t6,or(a,t7)))) )],[refute_0_11473,refute_0_11483]) ).
cnf(refute_0_11485,plain,
xor(xor(X,cin),or(t4,xor(t7,or(a,t7)))) = xor(cin,xor(t6,xor(or(a,t7),xor(X,cin)))),
inference(subst,[],[refute_0_11484:[bind(X,$fot(xor(X,cin)))]]) ).
cnf(refute_0_11486,plain,
( xor(cin,xor(t6,xor(or(a,t7),xor(X,cin)))) != xor(t6,xor(or(a,t7),X))
| xor(xor(X,cin),or(t4,xor(t7,or(a,t7)))) != xor(cin,xor(t6,xor(or(a,t7),xor(X,cin))))
| xor(xor(X,cin),or(t4,xor(t7,or(a,t7)))) = xor(t6,xor(or(a,t7),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X,cin),or(t4,xor(t7,or(a,t7)))))),bind(Y0,$fot(xor(cin,xor(t6,xor(or(a,t7),xor(X,cin)))))),bind(Z0,$fot(xor(t6,xor(or(a,t7),X))))]]) ).
cnf(refute_0_11487,plain,
( xor(cin,xor(t6,xor(or(a,t7),xor(X,cin)))) != xor(t6,xor(or(a,t7),X))
| xor(xor(X,cin),or(t4,xor(t7,or(a,t7)))) = xor(t6,xor(or(a,t7),X)) ),
inference(resolve,[$cnf( $equal(xor(xor(X,cin),or(t4,xor(t7,or(a,t7)))),xor(cin,xor(t6,xor(or(a,t7),xor(X,cin))))) )],[refute_0_11485,refute_0_11486]) ).
cnf(refute_0_11488,plain,
xor(xor(X,cin),or(t4,xor(t7,or(a,t7)))) = xor(t6,xor(or(a,t7),X)),
inference(resolve,[$cnf( $equal(xor(cin,xor(t6,xor(or(a,t7),xor(X,cin)))),xor(t6,xor(or(a,t7),X))) )],[refute_0_11469,refute_0_11487]) ).
cnf(refute_0_11489,plain,
( xor(X,xor(t6,or(a,t7))) != xor(xor(X,cin),or(t4,xor(t7,or(a,t7))))
| xor(xor(X,cin),or(t4,xor(t7,or(a,t7)))) != xor(t6,xor(or(a,t7),X))
| xor(X,xor(t6,or(a,t7))) = xor(t6,xor(or(a,t7),X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(X,xor(t6,or(a,t7))),xor(t6,xor(or(a,t7),X))) ),[0],$fot(xor(xor(X,cin),or(t4,xor(t7,or(a,t7)))))]]) ).
cnf(refute_0_11490,plain,
( xor(X,xor(t6,or(a,t7))) != xor(xor(X,cin),or(t4,xor(t7,or(a,t7))))
| xor(X,xor(t6,or(a,t7))) = xor(t6,xor(or(a,t7),X)) ),
inference(resolve,[$cnf( $equal(xor(xor(X,cin),or(t4,xor(t7,or(a,t7)))),xor(t6,xor(or(a,t7),X))) )],[refute_0_11488,refute_0_11489]) ).
cnf(refute_0_11491,plain,
xor(X,xor(t6,or(a,t7))) = xor(t6,xor(or(a,t7),X)),
inference(resolve,[$cnf( $equal(xor(X,xor(t6,or(a,t7))),xor(xor(X,cin),or(t4,xor(t7,or(a,t7))))) )],[refute_0_11422,refute_0_11490]) ).
cnf(refute_0_11492,plain,
xor(X,xor(t6,or(a,t7))) = xor(X,xor(t6,or(a,t7))),
introduced(tautology,[refl,[$fot(xor(X,xor(t6,or(a,t7))))]]) ).
cnf(refute_0_11493,plain,
( xor(X,xor(t6,or(a,t7))) != xor(X,xor(t6,or(a,t7)))
| xor(t6,or(a,t7)) != and(sum,t1)
| xor(X,xor(t6,or(a,t7))) = xor(X,and(sum,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,xor(t6,or(a,t7))),xor(X,xor(t6,or(a,t7)))) ),[1,1],$fot(and(sum,t1))]]) ).
cnf(refute_0_11494,plain,
( xor(t6,or(a,t7)) != and(sum,t1)
| xor(X,xor(t6,or(a,t7))) = xor(X,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(xor(X,xor(t6,or(a,t7))),xor(X,xor(t6,or(a,t7)))) )],[refute_0_11492,refute_0_11493]) ).
cnf(refute_0_11495,plain,
xor(X,xor(t6,or(a,t7))) = xor(X,and(sum,t1)),
inference(resolve,[$cnf( $equal(xor(t6,or(a,t7)),and(sum,t1)) )],[refute_0_8447,refute_0_11494]) ).
cnf(refute_0_11496,plain,
( xor(X,xor(t6,or(a,t7))) != xor(X,and(sum,t1))
| xor(X,xor(t6,or(a,t7))) != xor(t6,xor(or(a,t7),X))
| xor(X,and(sum,t1)) = xor(t6,xor(or(a,t7),X)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,xor(t6,or(a,t7))),xor(t6,xor(or(a,t7),X))) ),[0],$fot(xor(X,and(sum,t1)))]]) ).
cnf(refute_0_11497,plain,
( xor(X,xor(t6,or(a,t7))) != xor(t6,xor(or(a,t7),X))
| xor(X,and(sum,t1)) = xor(t6,xor(or(a,t7),X)) ),
inference(resolve,[$cnf( $equal(xor(X,xor(t6,or(a,t7))),xor(X,and(sum,t1))) )],[refute_0_11495,refute_0_11496]) ).
cnf(refute_0_11498,plain,
xor(X,and(sum,t1)) = xor(t6,xor(or(a,t7),X)),
inference(resolve,[$cnf( $equal(xor(X,xor(t6,or(a,t7))),xor(t6,xor(or(a,t7),X))) )],[refute_0_11491,refute_0_11497]) ).
cnf(refute_0_11499,plain,
( xor(X,and(sum,t1)) != xor(t6,xor(or(a,t7),X))
| xor(t6,xor(or(a,t7),X)) = xor(X,and(sum,t1)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X,and(sum,t1)))),bind(Y0,$fot(xor(t6,xor(or(a,t7),X))))]]) ).
cnf(refute_0_11500,plain,
xor(t6,xor(or(a,t7),X)) = xor(X,and(sum,t1)),
inference(resolve,[$cnf( $equal(xor(X,and(sum,t1)),xor(t6,xor(or(a,t7),X))) )],[refute_0_11498,refute_0_11499]) ).
cnf(refute_0_11501,plain,
xor(t6,xor(or(a,t7),Y)) = xor(Y,and(sum,t1)),
inference(subst,[],[refute_0_11500:[bind(X,$fot(Y))]]) ).
cnf(refute_0_11502,plain,
( or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))) != xor(t6,xor(or(a,t7),Y))
| xor(t6,xor(or(a,t7),Y)) != xor(Y,and(sum,t1))
| or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))) = xor(Y,and(sum,t1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))),xor(Y,and(sum,t1))) ),[0],$fot(xor(t6,xor(or(a,t7),Y)))]]) ).
cnf(refute_0_11503,plain,
( or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))) != xor(t6,xor(or(a,t7),Y))
| or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))) = xor(Y,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(or(a,t7),Y)),xor(Y,and(sum,t1))) )],[refute_0_11501,refute_0_11502]) ).
cnf(refute_0_11504,plain,
or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))) = xor(Y,and(sum,t1)),
inference(resolve,[$cnf( $equal(or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))),xor(t6,xor(or(a,t7),Y))) )],[refute_0_11389,refute_0_11503]) ).
cnf(refute_0_11505,plain,
or(and(and(X_220,X_221),not(Y)),and(not(and(X_220,X_221)),Y)) = xor(and(X_220,X_221),Y),
inference(subst,[],[refute_0_9:[bind(X,$fot(and(X_220,X_221)))]]) ).
cnf(refute_0_11506,plain,
and(and(X_220,X_221),not(Y)) = and(X_220,and(X_221,not(Y))),
inference(subst,[],[and_associative:[bind(X,$fot(X_220)),bind(Y,$fot(X_221)),bind(Z,$fot(not(Y)))]]) ).
cnf(refute_0_11507,plain,
( and(and(X_220,X_221),not(Y)) != and(X_220,and(X_221,not(Y)))
| or(and(and(X_220,X_221),not(Y)),and(not(and(X_220,X_221)),Y)) != xor(and(X_220,X_221),Y)
| or(and(X_220,and(X_221,not(Y))),and(not(and(X_220,X_221)),Y)) = xor(and(X_220,X_221),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(and(X_220,X_221),not(Y)),and(not(and(X_220,X_221)),Y)),xor(and(X_220,X_221),Y)) ),[0,0],$fot(and(X_220,and(X_221,not(Y))))]]) ).
cnf(refute_0_11508,plain,
( or(and(and(X_220,X_221),not(Y)),and(not(and(X_220,X_221)),Y)) != xor(and(X_220,X_221),Y)
| or(and(X_220,and(X_221,not(Y))),and(not(and(X_220,X_221)),Y)) = xor(and(X_220,X_221),Y) ),
inference(resolve,[$cnf( $equal(and(and(X_220,X_221),not(Y)),and(X_220,and(X_221,not(Y)))) )],[refute_0_11506,refute_0_11507]) ).
cnf(refute_0_11509,plain,
or(and(X_220,and(X_221,not(Y))),and(not(and(X_220,X_221)),Y)) = xor(and(X_220,X_221),Y),
inference(resolve,[$cnf( $equal(or(and(and(X_220,X_221),not(Y)),and(not(and(X_220,X_221)),Y)),xor(and(X_220,X_221),Y)) )],[refute_0_11505,refute_0_11508]) ).
cnf(refute_0_11510,plain,
or(and(sum,and(t1,not(Y))),and(not(and(sum,t1)),Y)) = xor(and(sum,t1),Y),
inference(subst,[],[refute_0_11509:[bind(X_220,$fot(sum)),bind(X_221,$fot(t1))]]) ).
cnf(refute_0_11511,plain,
and(and(t6,not(xor(t7,or(t1,and(t3,t7))))),Z) = and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z)),
inference(subst,[],[and_associative:[bind(X,$fot(t6)),bind(Y,$fot(not(xor(t7,or(t1,and(t3,t7))))))]]) ).
cnf(refute_0_11512,plain,
( and(and(t6,not(xor(t7,or(t1,and(t3,t7))))),Z) != and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z))
| and(t6,not(xor(t7,or(t1,and(t3,t7))))) != xor(sum,or(t1,and(t3,t7)))
| and(xor(sum,or(t1,and(t3,t7))),Z) = and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t6,not(xor(t7,or(t1,and(t3,t7))))),Z),and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z))) ),[0,0],$fot(xor(sum,or(t1,and(t3,t7))))]]) ).
cnf(refute_0_11513,plain,
( and(and(t6,not(xor(t7,or(t1,and(t3,t7))))),Z) != and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z))
| and(xor(sum,or(t1,and(t3,t7))),Z) = and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z)) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(t7,or(t1,and(t3,t7))))),xor(sum,or(t1,and(t3,t7)))) )],[refute_0_7429,refute_0_11512]) ).
cnf(refute_0_11514,plain,
and(xor(sum,or(t1,and(t3,t7))),Z) = and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z)),
inference(resolve,[$cnf( $equal(and(and(t6,not(xor(t7,or(t1,and(t3,t7))))),Z),and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z))) )],[refute_0_11511,refute_0_11513]) ).
cnf(refute_0_11515,plain,
and(xor(sum,or(t1,and(t3,t7))),Z) = and(xor(sum,or(t1,and(t3,t7))),Z),
introduced(tautology,[refl,[$fot(and(xor(sum,or(t1,and(t3,t7))),Z))]]) ).
cnf(refute_0_11516,plain,
( and(xor(sum,or(t1,and(t3,t7))),Z) != and(xor(sum,or(t1,and(t3,t7))),Z)
| xor(sum,or(t1,and(t3,t7))) != not(and(sum,t1))
| and(xor(sum,or(t1,and(t3,t7))),Z) = and(not(and(sum,t1)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(sum,or(t1,and(t3,t7))),Z),and(xor(sum,or(t1,and(t3,t7))),Z)) ),[1,0],$fot(not(and(sum,t1)))]]) ).
cnf(refute_0_11517,plain,
( xor(sum,or(t1,and(t3,t7))) != not(and(sum,t1))
| and(xor(sum,or(t1,and(t3,t7))),Z) = and(not(and(sum,t1)),Z) ),
inference(resolve,[$cnf( $equal(and(xor(sum,or(t1,and(t3,t7))),Z),and(xor(sum,or(t1,and(t3,t7))),Z)) )],[refute_0_11515,refute_0_11516]) ).
cnf(refute_0_11518,plain,
and(xor(sum,or(t1,and(t3,t7))),Z) = and(not(and(sum,t1)),Z),
inference(resolve,[$cnf( $equal(xor(sum,or(t1,and(t3,t7))),not(and(sum,t1))) )],[refute_0_11041,refute_0_11517]) ).
cnf(refute_0_11519,plain,
( and(xor(sum,or(t1,and(t3,t7))),Z) != and(not(and(sum,t1)),Z)
| and(xor(sum,or(t1,and(t3,t7))),Z) != and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z))
| and(not(and(sum,t1)),Z) = and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(sum,or(t1,and(t3,t7))),Z),and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z))) ),[0],$fot(and(not(and(sum,t1)),Z))]]) ).
cnf(refute_0_11520,plain,
( and(xor(sum,or(t1,and(t3,t7))),Z) != and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z))
| and(not(and(sum,t1)),Z) = and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z)) ),
inference(resolve,[$cnf( $equal(and(xor(sum,or(t1,and(t3,t7))),Z),and(not(and(sum,t1)),Z)) )],[refute_0_11518,refute_0_11519]) ).
cnf(refute_0_11521,plain,
( not(xor(t7,or(t1,and(t3,t7)))) != not(xor(t7,or(t1,and(t3,t7))))
| xor(t7,or(t1,and(t3,t7))) != xor(t7,or(t1,t7))
| not(xor(t7,or(t1,and(t3,t7)))) = not(xor(t7,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t7,or(t1,and(t3,t7)))),not(xor(t7,or(t1,and(t3,t7))))) ),[1,0],$fot(xor(t7,or(t1,t7)))]]) ).
cnf(refute_0_11522,plain,
( xor(t7,or(t1,and(t3,t7))) != xor(t7,or(t1,t7))
| not(xor(t7,or(t1,and(t3,t7)))) = not(xor(t7,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(not(xor(t7,or(t1,and(t3,t7)))),not(xor(t7,or(t1,and(t3,t7))))) )],[refute_0_11160,refute_0_11521]) ).
cnf(refute_0_11523,plain,
not(xor(t7,or(t1,and(t3,t7)))) = not(xor(t7,or(t1,t7))),
inference(resolve,[$cnf( $equal(xor(t7,or(t1,and(t3,t7))),xor(t7,or(t1,t7))) )],[refute_0_11061,refute_0_11522]) ).
cnf(refute_0_11524,plain,
and(not(xor(t7,or(t1,and(t3,t7)))),Z) = and(not(xor(t7,or(t1,and(t3,t7)))),Z),
introduced(tautology,[refl,[$fot(and(not(xor(t7,or(t1,and(t3,t7)))),Z))]]) ).
cnf(refute_0_11525,plain,
( and(not(xor(t7,or(t1,and(t3,t7)))),Z) != and(not(xor(t7,or(t1,and(t3,t7)))),Z)
| not(xor(t7,or(t1,and(t3,t7)))) != not(xor(t7,or(t1,t7)))
| and(not(xor(t7,or(t1,and(t3,t7)))),Z) = and(not(xor(t7,or(t1,t7))),Z) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(xor(t7,or(t1,and(t3,t7)))),Z),and(not(xor(t7,or(t1,and(t3,t7)))),Z)) ),[1,0],$fot(not(xor(t7,or(t1,t7))))]]) ).
cnf(refute_0_11526,plain,
( not(xor(t7,or(t1,and(t3,t7)))) != not(xor(t7,or(t1,t7)))
| and(not(xor(t7,or(t1,and(t3,t7)))),Z) = and(not(xor(t7,or(t1,t7))),Z) ),
inference(resolve,[$cnf( $equal(and(not(xor(t7,or(t1,and(t3,t7)))),Z),and(not(xor(t7,or(t1,and(t3,t7)))),Z)) )],[refute_0_11524,refute_0_11525]) ).
cnf(refute_0_11527,plain,
and(not(xor(t7,or(t1,and(t3,t7)))),Z) = and(not(xor(t7,or(t1,t7))),Z),
inference(resolve,[$cnf( $equal(not(xor(t7,or(t1,and(t3,t7)))),not(xor(t7,or(t1,t7)))) )],[refute_0_11523,refute_0_11526]) ).
cnf(refute_0_11528,plain,
and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z)) = and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z)),
introduced(tautology,[refl,[$fot(and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z)))]]) ).
cnf(refute_0_11529,plain,
( and(not(xor(t7,or(t1,and(t3,t7)))),Z) != and(not(xor(t7,or(t1,t7))),Z)
| and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z)) != and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z))
| and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z)) = and(t6,and(not(xor(t7,or(t1,t7))),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z)),and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z))) ),[1,1],$fot(and(not(xor(t7,or(t1,t7))),Z))]]) ).
cnf(refute_0_11530,plain,
( and(not(xor(t7,or(t1,and(t3,t7)))),Z) != and(not(xor(t7,or(t1,t7))),Z)
| and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z)) = and(t6,and(not(xor(t7,or(t1,t7))),Z)) ),
inference(resolve,[$cnf( $equal(and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z)),and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z))) )],[refute_0_11528,refute_0_11529]) ).
cnf(refute_0_11531,plain,
and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z)) = and(t6,and(not(xor(t7,or(t1,t7))),Z)),
inference(resolve,[$cnf( $equal(and(not(xor(t7,or(t1,and(t3,t7)))),Z),and(not(xor(t7,or(t1,t7))),Z)) )],[refute_0_11527,refute_0_11530]) ).
cnf(refute_0_11532,plain,
( and(not(and(sum,t1)),Z) != and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z))
| and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z)) != and(t6,and(not(xor(t7,or(t1,t7))),Z))
| and(not(and(sum,t1)),Z) = and(t6,and(not(xor(t7,or(t1,t7))),Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(and(sum,t1)),Z),and(t6,and(not(xor(t7,or(t1,t7))),Z))) ),[0],$fot(and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z)))]]) ).
cnf(refute_0_11533,plain,
( and(not(and(sum,t1)),Z) != and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z))
| and(not(and(sum,t1)),Z) = and(t6,and(not(xor(t7,or(t1,t7))),Z)) ),
inference(resolve,[$cnf( $equal(and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z)),and(t6,and(not(xor(t7,or(t1,t7))),Z))) )],[refute_0_11531,refute_0_11532]) ).
cnf(refute_0_11534,plain,
( and(xor(sum,or(t1,and(t3,t7))),Z) != and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z))
| and(not(and(sum,t1)),Z) = and(t6,and(not(xor(t7,or(t1,t7))),Z)) ),
inference(resolve,[$cnf( $equal(and(not(and(sum,t1)),Z),and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z))) )],[refute_0_11520,refute_0_11533]) ).
cnf(refute_0_11535,plain,
and(not(and(sum,t1)),Z) = and(t6,and(not(xor(t7,or(t1,t7))),Z)),
inference(resolve,[$cnf( $equal(and(xor(sum,or(t1,and(t3,t7))),Z),and(t6,and(not(xor(t7,or(t1,and(t3,t7)))),Z))) )],[refute_0_11514,refute_0_11534]) ).
cnf(refute_0_11536,plain,
not(xor(t7,or(t1,t7))) = not(xor(t7,or(t1,t7))),
introduced(tautology,[refl,[$fot(not(xor(t7,or(t1,t7))))]]) ).
cnf(refute_0_11537,plain,
( not(xor(t7,or(t1,t7))) != not(xor(t7,or(t1,t7)))
| xor(t7,or(t1,t7)) != not(or(a,t7))
| not(xor(t7,or(t1,t7))) = not(not(or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t7,or(t1,t7))),not(xor(t7,or(t1,t7)))) ),[1,0],$fot(not(or(a,t7)))]]) ).
cnf(refute_0_11538,plain,
( xor(t7,or(t1,t7)) != not(or(a,t7))
| not(xor(t7,or(t1,t7))) = not(not(or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(xor(t7,or(t1,t7))),not(xor(t7,or(t1,t7)))) )],[refute_0_11536,refute_0_11537]) ).
cnf(refute_0_11539,plain,
not(xor(t7,or(t1,t7))) = not(not(or(a,t7))),
inference(resolve,[$cnf( $equal(xor(t7,or(t1,t7)),not(or(a,t7))) )],[refute_0_11156,refute_0_11538]) ).
cnf(refute_0_11540,plain,
( not(not(or(a,t7))) != or(a,t7)
| not(xor(t7,or(t1,t7))) != not(not(or(a,t7)))
| not(xor(t7,or(t1,t7))) = or(a,t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t7,or(t1,t7))))),bind(Y0,$fot(not(not(or(a,t7))))),bind(Z0,$fot(or(a,t7)))]]) ).
cnf(refute_0_11541,plain,
( not(not(or(a,t7))) != or(a,t7)
| not(xor(t7,or(t1,t7))) = or(a,t7) ),
inference(resolve,[$cnf( $equal(not(xor(t7,or(t1,t7))),not(not(or(a,t7)))) )],[refute_0_11539,refute_0_11540]) ).
cnf(refute_0_11542,plain,
not(xor(t7,or(t1,t7))) = or(a,t7),
inference(resolve,[$cnf( $equal(not(not(or(a,t7))),or(a,t7)) )],[refute_0_2739,refute_0_11541]) ).
cnf(refute_0_11543,plain,
and(not(xor(t7,or(t1,t7))),Z) = and(not(xor(t7,or(t1,t7))),Z),
introduced(tautology,[refl,[$fot(and(not(xor(t7,or(t1,t7))),Z))]]) ).
cnf(refute_0_11544,plain,
( and(not(xor(t7,or(t1,t7))),Z) != and(not(xor(t7,or(t1,t7))),Z)
| not(xor(t7,or(t1,t7))) != or(a,t7)
| and(not(xor(t7,or(t1,t7))),Z) = and(or(a,t7),Z) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(xor(t7,or(t1,t7))),Z),and(not(xor(t7,or(t1,t7))),Z)) ),[1,0],$fot(or(a,t7))]]) ).
cnf(refute_0_11545,plain,
( not(xor(t7,or(t1,t7))) != or(a,t7)
| and(not(xor(t7,or(t1,t7))),Z) = and(or(a,t7),Z) ),
inference(resolve,[$cnf( $equal(and(not(xor(t7,or(t1,t7))),Z),and(not(xor(t7,or(t1,t7))),Z)) )],[refute_0_11543,refute_0_11544]) ).
cnf(refute_0_11546,plain,
and(not(xor(t7,or(t1,t7))),Z) = and(or(a,t7),Z),
inference(resolve,[$cnf( $equal(not(xor(t7,or(t1,t7))),or(a,t7)) )],[refute_0_11542,refute_0_11545]) ).
cnf(refute_0_11547,plain,
and(t6,and(not(xor(t7,or(t1,t7))),Z)) = and(t6,and(not(xor(t7,or(t1,t7))),Z)),
introduced(tautology,[refl,[$fot(and(t6,and(not(xor(t7,or(t1,t7))),Z)))]]) ).
cnf(refute_0_11548,plain,
( and(not(xor(t7,or(t1,t7))),Z) != and(or(a,t7),Z)
| and(t6,and(not(xor(t7,or(t1,t7))),Z)) != and(t6,and(not(xor(t7,or(t1,t7))),Z))
| and(t6,and(not(xor(t7,or(t1,t7))),Z)) = and(t6,and(or(a,t7),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,and(not(xor(t7,or(t1,t7))),Z)),and(t6,and(not(xor(t7,or(t1,t7))),Z))) ),[1,1],$fot(and(or(a,t7),Z))]]) ).
cnf(refute_0_11549,plain,
( and(not(xor(t7,or(t1,t7))),Z) != and(or(a,t7),Z)
| and(t6,and(not(xor(t7,or(t1,t7))),Z)) = and(t6,and(or(a,t7),Z)) ),
inference(resolve,[$cnf( $equal(and(t6,and(not(xor(t7,or(t1,t7))),Z)),and(t6,and(not(xor(t7,or(t1,t7))),Z))) )],[refute_0_11547,refute_0_11548]) ).
cnf(refute_0_11550,plain,
and(t6,and(not(xor(t7,or(t1,t7))),Z)) = and(t6,and(or(a,t7),Z)),
inference(resolve,[$cnf( $equal(and(not(xor(t7,or(t1,t7))),Z),and(or(a,t7),Z)) )],[refute_0_11546,refute_0_11549]) ).
cnf(refute_0_11551,plain,
( and(not(and(sum,t1)),Z) != and(t6,and(not(xor(t7,or(t1,t7))),Z))
| and(t6,and(not(xor(t7,or(t1,t7))),Z)) != and(t6,and(or(a,t7),Z))
| and(not(and(sum,t1)),Z) = and(t6,and(or(a,t7),Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(and(sum,t1)),Z),and(t6,and(or(a,t7),Z))) ),[0],$fot(and(t6,and(not(xor(t7,or(t1,t7))),Z)))]]) ).
cnf(refute_0_11552,plain,
( and(not(and(sum,t1)),Z) != and(t6,and(not(xor(t7,or(t1,t7))),Z))
| and(not(and(sum,t1)),Z) = and(t6,and(or(a,t7),Z)) ),
inference(resolve,[$cnf( $equal(and(t6,and(not(xor(t7,or(t1,t7))),Z)),and(t6,and(or(a,t7),Z))) )],[refute_0_11550,refute_0_11551]) ).
cnf(refute_0_11553,plain,
and(not(and(sum,t1)),Z) = and(t6,and(or(a,t7),Z)),
inference(resolve,[$cnf( $equal(and(not(and(sum,t1)),Z),and(t6,and(not(xor(t7,or(t1,t7))),Z))) )],[refute_0_11535,refute_0_11552]) ).
cnf(refute_0_11554,plain,
( and(not(and(sum,t1)),Z) != and(t6,and(or(a,t7),Z))
| and(t6,and(or(a,t7),Z)) = and(not(and(sum,t1)),Z) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(and(sum,t1)),Z))),bind(Y0,$fot(and(t6,and(or(a,t7),Z))))]]) ).
cnf(refute_0_11555,plain,
and(t6,and(or(a,t7),Z)) = and(not(and(sum,t1)),Z),
inference(resolve,[$cnf( $equal(and(not(and(sum,t1)),Z),and(t6,and(or(a,t7),Z))) )],[refute_0_11553,refute_0_11554]) ).
cnf(refute_0_11556,plain,
and(t6,and(or(a,t7),Y)) = and(not(and(sum,t1)),Y),
inference(subst,[],[refute_0_11555:[bind(Z,$fot(Y))]]) ).
cnf(refute_0_11557,plain,
or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))) = or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))),
introduced(tautology,[refl,[$fot(or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))))]]) ).
cnf(refute_0_11558,plain,
( and(t6,and(or(a,t7),Y)) != and(not(and(sum,t1)),Y)
| or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))) != or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y)))
| or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))) = or(and(sum,and(t1,not(Y))),and(not(and(sum,t1)),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))),or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y)))) ),[1,1],$fot(and(not(and(sum,t1)),Y))]]) ).
cnf(refute_0_11559,plain,
( and(t6,and(or(a,t7),Y)) != and(not(and(sum,t1)),Y)
| or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))) = or(and(sum,and(t1,not(Y))),and(not(and(sum,t1)),Y)) ),
inference(resolve,[$cnf( $equal(or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))),or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y)))) )],[refute_0_11557,refute_0_11558]) ).
cnf(refute_0_11560,plain,
or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))) = or(and(sum,and(t1,not(Y))),and(not(and(sum,t1)),Y)),
inference(resolve,[$cnf( $equal(and(t6,and(or(a,t7),Y)),and(not(and(sum,t1)),Y)) )],[refute_0_11556,refute_0_11559]) ).
cnf(refute_0_11561,plain,
( or(and(sum,and(t1,not(Y))),and(not(and(sum,t1)),Y)) != xor(and(sum,t1),Y)
| or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))) != or(and(sum,and(t1,not(Y))),and(not(and(sum,t1)),Y))
| or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))) = xor(and(sum,t1),Y) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))))),bind(Y0,$fot(or(and(sum,and(t1,not(Y))),and(not(and(sum,t1)),Y)))),bind(Z0,$fot(xor(and(sum,t1),Y)))]]) ).
cnf(refute_0_11562,plain,
( or(and(sum,and(t1,not(Y))),and(not(and(sum,t1)),Y)) != xor(and(sum,t1),Y)
| or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))) = xor(and(sum,t1),Y) ),
inference(resolve,[$cnf( $equal(or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))),or(and(sum,and(t1,not(Y))),and(not(and(sum,t1)),Y))) )],[refute_0_11560,refute_0_11561]) ).
cnf(refute_0_11563,plain,
or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))) = xor(and(sum,t1),Y),
inference(resolve,[$cnf( $equal(or(and(sum,and(t1,not(Y))),and(not(and(sum,t1)),Y)),xor(and(sum,t1),Y)) )],[refute_0_11510,refute_0_11562]) ).
cnf(refute_0_11564,plain,
( or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))) != xor(Y,and(sum,t1))
| or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))) != xor(and(sum,t1),Y)
| xor(and(sum,t1),Y) = xor(Y,and(sum,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))),xor(Y,and(sum,t1))) ),[0],$fot(xor(and(sum,t1),Y))]]) ).
cnf(refute_0_11565,plain,
( or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))) != xor(Y,and(sum,t1))
| xor(and(sum,t1),Y) = xor(Y,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))),xor(and(sum,t1),Y)) )],[refute_0_11563,refute_0_11564]) ).
cnf(refute_0_11566,plain,
xor(and(sum,t1),Y) = xor(Y,and(sum,t1)),
inference(resolve,[$cnf( $equal(or(and(sum,and(t1,not(Y))),and(t6,and(or(a,t7),Y))),xor(Y,and(sum,t1))) )],[refute_0_11504,refute_0_11565]) ).
cnf(refute_0_11567,plain,
( xor(and(sum,t1),Y) != xor(Y,and(sum,t1))
| xor(Y,and(sum,t1)) = xor(and(sum,t1),Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(and(sum,t1),Y))),bind(Y0,$fot(xor(Y,and(sum,t1))))]]) ).
cnf(refute_0_11568,plain,
xor(Y,and(sum,t1)) = xor(and(sum,t1),Y),
inference(resolve,[$cnf( $equal(xor(and(sum,t1),Y),xor(Y,and(sum,t1))) )],[refute_0_11566,refute_0_11567]) ).
cnf(refute_0_11569,plain,
xor(or(a,b),and(sum,t1)) = xor(and(sum,t1),or(a,b)),
inference(subst,[],[refute_0_11568:[bind(Y,$fot(or(a,b)))]]) ).
cnf(refute_0_11570,plain,
or(and(or(a,t4),not(Y)),and(not(or(a,t4)),Y)) = xor(or(a,t4),Y),
inference(subst,[],[refute_0_9:[bind(X,$fot(or(a,t4)))]]) ).
cnf(refute_0_11571,plain,
( not(or(a,t4)) != xor(a,t3)
| or(and(or(a,t4),not(Y)),and(not(or(a,t4)),Y)) != xor(or(a,t4),Y)
| or(and(or(a,t4),not(Y)),and(xor(a,t3),Y)) = xor(or(a,t4),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(or(a,t4),not(Y)),and(not(or(a,t4)),Y)),xor(or(a,t4),Y)) ),[0,1,0],$fot(xor(a,t3))]]) ).
cnf(refute_0_11572,plain,
( or(and(or(a,t4),not(Y)),and(not(or(a,t4)),Y)) != xor(or(a,t4),Y)
| or(and(or(a,t4),not(Y)),and(xor(a,t3),Y)) = xor(or(a,t4),Y) ),
inference(resolve,[$cnf( $equal(not(or(a,t4)),xor(a,t3)) )],[refute_0_2958,refute_0_11571]) ).
cnf(refute_0_11573,plain,
or(and(or(a,t4),not(Y)),and(xor(a,t3),Y)) = xor(or(a,t4),Y),
inference(resolve,[$cnf( $equal(or(and(or(a,t4),not(Y)),and(not(or(a,t4)),Y)),xor(or(a,t4),Y)) )],[refute_0_11570,refute_0_11572]) ).
cnf(refute_0_11574,plain,
or(and(or(a,t4),not(Y)),and(xor(a,t3),Y)) = or(and(xor(a,t3),Y),and(or(a,t4),not(Y))),
inference(subst,[],[refute_0_5:[bind(X,$fot(and(xor(a,t3),Y))),bind(Y,$fot(and(or(a,t4),not(Y))))]]) ).
cnf(refute_0_11575,plain,
( or(and(or(a,t4),not(Y)),and(xor(a,t3),Y)) != or(and(xor(a,t3),Y),and(or(a,t4),not(Y)))
| or(and(or(a,t4),not(Y)),and(xor(a,t3),Y)) != xor(or(a,t4),Y)
| or(and(xor(a,t3),Y),and(or(a,t4),not(Y))) = xor(or(a,t4),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(or(a,t4),not(Y)),and(xor(a,t3),Y)),xor(or(a,t4),Y)) ),[0],$fot(or(and(xor(a,t3),Y),and(or(a,t4),not(Y))))]]) ).
cnf(refute_0_11576,plain,
( or(and(or(a,t4),not(Y)),and(xor(a,t3),Y)) != xor(or(a,t4),Y)
| or(and(xor(a,t3),Y),and(or(a,t4),not(Y))) = xor(or(a,t4),Y) ),
inference(resolve,[$cnf( $equal(or(and(or(a,t4),not(Y)),and(xor(a,t3),Y)),or(and(xor(a,t3),Y),and(or(a,t4),not(Y)))) )],[refute_0_11574,refute_0_11575]) ).
cnf(refute_0_11577,plain,
or(and(xor(a,t3),Y),and(or(a,t4),not(Y))) = xor(or(a,t4),Y),
inference(resolve,[$cnf( $equal(or(and(or(a,t4),not(Y)),and(xor(a,t3),Y)),xor(or(a,t4),Y)) )],[refute_0_11573,refute_0_11576]) ).
cnf(refute_0_11578,plain,
xor(xor(a,t3),not(Y)) = xor(a,xor(t3,not(Y))),
inference(subst,[],[refute_0_526:[bind(X,$fot(a)),bind(Y,$fot(t3)),bind(Z,$fot(not(Y)))]]) ).
cnf(refute_0_11579,plain,
or(and(xor(a,t3),Y),not(or(xor(a,t3),Y))) = xor(xor(a,t3),not(Y)),
inference(subst,[],[refute_0_3627:[bind(X,$fot(xor(a,t3))),bind(X_64,$fot(Y))]]) ).
cnf(refute_0_11580,plain,
( or(and(xor(a,t3),Y),not(or(xor(a,t3),Y))) != xor(xor(a,t3),not(Y))
| xor(xor(a,t3),not(Y)) != xor(a,xor(t3,not(Y)))
| or(and(xor(a,t3),Y),not(or(xor(a,t3),Y))) = xor(a,xor(t3,not(Y))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(xor(a,t3),Y),not(or(xor(a,t3),Y))))),bind(Y0,$fot(xor(xor(a,t3),not(Y)))),bind(Z0,$fot(xor(a,xor(t3,not(Y)))))]]) ).
cnf(refute_0_11581,plain,
( xor(xor(a,t3),not(Y)) != xor(a,xor(t3,not(Y)))
| or(and(xor(a,t3),Y),not(or(xor(a,t3),Y))) = xor(a,xor(t3,not(Y))) ),
inference(resolve,[$cnf( $equal(or(and(xor(a,t3),Y),not(or(xor(a,t3),Y))),xor(xor(a,t3),not(Y))) )],[refute_0_11579,refute_0_11580]) ).
cnf(refute_0_11582,plain,
or(and(xor(a,t3),Y),not(or(xor(a,t3),Y))) = xor(a,xor(t3,not(Y))),
inference(resolve,[$cnf( $equal(xor(xor(a,t3),not(Y)),xor(a,xor(t3,not(Y)))) )],[refute_0_11578,refute_0_11581]) ).
cnf(refute_0_11583,plain,
( not(or(xor(a,t3),X_26)) != and(or(a,t4),not(X_26))
| and(or(a,t4),not(X_26)) = not(or(xor(a,t3),X_26)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(xor(a,t3),X_26)))),bind(Y0,$fot(and(or(a,t4),not(X_26))))]]) ).
cnf(refute_0_11584,plain,
and(or(a,t4),not(X_26)) = not(or(xor(a,t3),X_26)),
inference(resolve,[$cnf( $equal(not(or(xor(a,t3),X_26)),and(or(a,t4),not(X_26))) )],[refute_0_2961,refute_0_11583]) ).
cnf(refute_0_11585,plain,
and(or(a,t4),not(Y)) = not(or(xor(a,t3),Y)),
inference(subst,[],[refute_0_11584:[bind(X_26,$fot(Y))]]) ).
cnf(refute_0_11586,plain,
or(and(xor(a,t3),Y),and(or(a,t4),not(Y))) = or(and(xor(a,t3),Y),and(or(a,t4),not(Y))),
introduced(tautology,[refl,[$fot(or(and(xor(a,t3),Y),and(or(a,t4),not(Y))))]]) ).
cnf(refute_0_11587,plain,
( and(or(a,t4),not(Y)) != not(or(xor(a,t3),Y))
| or(and(xor(a,t3),Y),and(or(a,t4),not(Y))) != or(and(xor(a,t3),Y),and(or(a,t4),not(Y)))
| or(and(xor(a,t3),Y),and(or(a,t4),not(Y))) = or(and(xor(a,t3),Y),not(or(xor(a,t3),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(a,t3),Y),and(or(a,t4),not(Y))),or(and(xor(a,t3),Y),and(or(a,t4),not(Y)))) ),[1,1],$fot(not(or(xor(a,t3),Y)))]]) ).
cnf(refute_0_11588,plain,
( and(or(a,t4),not(Y)) != not(or(xor(a,t3),Y))
| or(and(xor(a,t3),Y),and(or(a,t4),not(Y))) = or(and(xor(a,t3),Y),not(or(xor(a,t3),Y))) ),
inference(resolve,[$cnf( $equal(or(and(xor(a,t3),Y),and(or(a,t4),not(Y))),or(and(xor(a,t3),Y),and(or(a,t4),not(Y)))) )],[refute_0_11586,refute_0_11587]) ).
cnf(refute_0_11589,plain,
or(and(xor(a,t3),Y),and(or(a,t4),not(Y))) = or(and(xor(a,t3),Y),not(or(xor(a,t3),Y))),
inference(resolve,[$cnf( $equal(and(or(a,t4),not(Y)),not(or(xor(a,t3),Y))) )],[refute_0_11585,refute_0_11588]) ).
cnf(refute_0_11590,plain,
( or(and(xor(a,t3),Y),and(or(a,t4),not(Y))) != or(and(xor(a,t3),Y),not(or(xor(a,t3),Y)))
| or(and(xor(a,t3),Y),not(or(xor(a,t3),Y))) != xor(a,xor(t3,not(Y)))
| or(and(xor(a,t3),Y),and(or(a,t4),not(Y))) = xor(a,xor(t3,not(Y))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(xor(a,t3),Y),and(or(a,t4),not(Y))))),bind(Y0,$fot(or(and(xor(a,t3),Y),not(or(xor(a,t3),Y))))),bind(Z0,$fot(xor(a,xor(t3,not(Y)))))]]) ).
cnf(refute_0_11591,plain,
( or(and(xor(a,t3),Y),not(or(xor(a,t3),Y))) != xor(a,xor(t3,not(Y)))
| or(and(xor(a,t3),Y),and(or(a,t4),not(Y))) = xor(a,xor(t3,not(Y))) ),
inference(resolve,[$cnf( $equal(or(and(xor(a,t3),Y),and(or(a,t4),not(Y))),or(and(xor(a,t3),Y),not(or(xor(a,t3),Y)))) )],[refute_0_11589,refute_0_11590]) ).
cnf(refute_0_11592,plain,
or(and(xor(a,t3),Y),and(or(a,t4),not(Y))) = xor(a,xor(t3,not(Y))),
inference(resolve,[$cnf( $equal(or(and(xor(a,t3),Y),not(or(xor(a,t3),Y))),xor(a,xor(t3,not(Y)))) )],[refute_0_11582,refute_0_11591]) ).
cnf(refute_0_11593,plain,
( or(and(xor(a,t3),Y),and(or(a,t4),not(Y))) != xor(a,xor(t3,not(Y)))
| or(and(xor(a,t3),Y),and(or(a,t4),not(Y))) != xor(or(a,t4),Y)
| xor(a,xor(t3,not(Y))) = xor(or(a,t4),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(a,t3),Y),and(or(a,t4),not(Y))),xor(or(a,t4),Y)) ),[0],$fot(xor(a,xor(t3,not(Y))))]]) ).
cnf(refute_0_11594,plain,
( or(and(xor(a,t3),Y),and(or(a,t4),not(Y))) != xor(or(a,t4),Y)
| xor(a,xor(t3,not(Y))) = xor(or(a,t4),Y) ),
inference(resolve,[$cnf( $equal(or(and(xor(a,t3),Y),and(or(a,t4),not(Y))),xor(a,xor(t3,not(Y)))) )],[refute_0_11592,refute_0_11593]) ).
cnf(refute_0_11595,plain,
xor(a,xor(t3,not(Y))) = xor(or(a,t4),Y),
inference(resolve,[$cnf( $equal(or(and(xor(a,t3),Y),and(or(a,t4),not(Y))),xor(or(a,t4),Y)) )],[refute_0_11577,refute_0_11594]) ).
cnf(refute_0_11596,plain,
xor(a,not(xor(t3,Y))) = not(xor(a,xor(t3,Y))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(a)),bind(X_334,$fot(xor(t3,Y)))]]) ).
cnf(refute_0_11597,plain,
xor(t3,not(Y)) = not(xor(t3,Y)),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t3)),bind(X_334,$fot(Y))]]) ).
cnf(refute_0_11598,plain,
xor(a,xor(t3,not(Y))) = xor(a,xor(t3,not(Y))),
introduced(tautology,[refl,[$fot(xor(a,xor(t3,not(Y))))]]) ).
cnf(refute_0_11599,plain,
( xor(a,xor(t3,not(Y))) != xor(a,xor(t3,not(Y)))
| xor(t3,not(Y)) != not(xor(t3,Y))
| xor(a,xor(t3,not(Y))) = xor(a,not(xor(t3,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t3,not(Y))),xor(a,xor(t3,not(Y)))) ),[1,1],$fot(not(xor(t3,Y)))]]) ).
cnf(refute_0_11600,plain,
( xor(t3,not(Y)) != not(xor(t3,Y))
| xor(a,xor(t3,not(Y))) = xor(a,not(xor(t3,Y))) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,not(Y))),xor(a,xor(t3,not(Y)))) )],[refute_0_11598,refute_0_11599]) ).
cnf(refute_0_11601,plain,
xor(a,xor(t3,not(Y))) = xor(a,not(xor(t3,Y))),
inference(resolve,[$cnf( $equal(xor(t3,not(Y)),not(xor(t3,Y))) )],[refute_0_11597,refute_0_11600]) ).
cnf(refute_0_11602,plain,
( xor(a,not(xor(t3,Y))) != not(xor(a,xor(t3,Y)))
| xor(a,xor(t3,not(Y))) != xor(a,not(xor(t3,Y)))
| xor(a,xor(t3,not(Y))) = not(xor(a,xor(t3,Y))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(a,xor(t3,not(Y))))),bind(Y0,$fot(xor(a,not(xor(t3,Y))))),bind(Z0,$fot(not(xor(a,xor(t3,Y)))))]]) ).
cnf(refute_0_11603,plain,
( xor(a,not(xor(t3,Y))) != not(xor(a,xor(t3,Y)))
| xor(a,xor(t3,not(Y))) = not(xor(a,xor(t3,Y))) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,not(Y))),xor(a,not(xor(t3,Y)))) )],[refute_0_11601,refute_0_11602]) ).
cnf(refute_0_11604,plain,
xor(a,xor(t3,not(Y))) = not(xor(a,xor(t3,Y))),
inference(resolve,[$cnf( $equal(xor(a,not(xor(t3,Y))),not(xor(a,xor(t3,Y)))) )],[refute_0_11596,refute_0_11603]) ).
cnf(refute_0_11605,plain,
( xor(a,xor(t3,not(Y))) != not(xor(a,xor(t3,Y)))
| xor(a,xor(t3,not(Y))) != xor(or(a,t4),Y)
| not(xor(a,xor(t3,Y))) = xor(or(a,t4),Y) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t3,not(Y))),xor(or(a,t4),Y)) ),[0],$fot(not(xor(a,xor(t3,Y))))]]) ).
cnf(refute_0_11606,plain,
( xor(a,xor(t3,not(Y))) != xor(or(a,t4),Y)
| not(xor(a,xor(t3,Y))) = xor(or(a,t4),Y) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,not(Y))),not(xor(a,xor(t3,Y)))) )],[refute_0_11604,refute_0_11605]) ).
cnf(refute_0_11607,plain,
not(xor(a,xor(t3,Y))) = xor(or(a,t4),Y),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,not(Y))),xor(or(a,t4),Y)) )],[refute_0_11595,refute_0_11606]) ).
cnf(refute_0_11608,plain,
xor(or(a,t4),Y) = xor(or(a,t4),Y),
introduced(tautology,[refl,[$fot(xor(or(a,t4),Y))]]) ).
cnf(refute_0_11609,plain,
( or(a,t4) != or(a,b)
| xor(or(a,t4),Y) != xor(or(a,t4),Y)
| xor(or(a,t4),Y) = xor(or(a,b),Y) ),
introduced(tautology,[equality,[$cnf( $equal(xor(or(a,t4),Y),xor(or(a,t4),Y)) ),[1,0],$fot(or(a,b))]]) ).
cnf(refute_0_11610,plain,
( or(a,t4) != or(a,b)
| xor(or(a,t4),Y) = xor(or(a,b),Y) ),
inference(resolve,[$cnf( $equal(xor(or(a,t4),Y),xor(or(a,t4),Y)) )],[refute_0_11608,refute_0_11609]) ).
cnf(refute_0_11611,plain,
xor(or(a,t4),Y) = xor(or(a,b),Y),
inference(resolve,[$cnf( $equal(or(a,t4),or(a,b)) )],[refute_0_3071,refute_0_11610]) ).
cnf(refute_0_11612,plain,
( not(xor(a,xor(t3,Y))) != xor(or(a,t4),Y)
| xor(or(a,t4),Y) != xor(or(a,b),Y)
| not(xor(a,xor(t3,Y))) = xor(or(a,b),Y) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(a,xor(t3,Y))),xor(or(a,b),Y)) ),[0],$fot(xor(or(a,t4),Y))]]) ).
cnf(refute_0_11613,plain,
( not(xor(a,xor(t3,Y))) != xor(or(a,t4),Y)
| not(xor(a,xor(t3,Y))) = xor(or(a,b),Y) ),
inference(resolve,[$cnf( $equal(xor(or(a,t4),Y),xor(or(a,b),Y)) )],[refute_0_11611,refute_0_11612]) ).
cnf(refute_0_11614,plain,
not(xor(a,xor(t3,Y))) = xor(or(a,b),Y),
inference(resolve,[$cnf( $equal(not(xor(a,xor(t3,Y))),xor(or(a,t4),Y)) )],[refute_0_11607,refute_0_11613]) ).
cnf(refute_0_11615,plain,
not(xor(a,xor(t3,and(sum,t1)))) = xor(or(a,b),and(sum,t1)),
inference(subst,[],[refute_0_11614:[bind(Y,$fot(and(sum,t1)))]]) ).
cnf(refute_0_11616,plain,
( not(xor(a,xor(t3,and(sum,t1)))) != xor(or(a,b),and(sum,t1))
| xor(or(a,b),and(sum,t1)) != xor(and(sum,t1),or(a,b))
| not(xor(a,xor(t3,and(sum,t1)))) = xor(and(sum,t1),or(a,b)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(a,xor(t3,and(sum,t1)))))),bind(Y0,$fot(xor(or(a,b),and(sum,t1)))),bind(Z0,$fot(xor(and(sum,t1),or(a,b))))]]) ).
cnf(refute_0_11617,plain,
( xor(or(a,b),and(sum,t1)) != xor(and(sum,t1),or(a,b))
| not(xor(a,xor(t3,and(sum,t1)))) = xor(and(sum,t1),or(a,b)) ),
inference(resolve,[$cnf( $equal(not(xor(a,xor(t3,and(sum,t1)))),xor(or(a,b),and(sum,t1))) )],[refute_0_11615,refute_0_11616]) ).
cnf(refute_0_11618,plain,
not(xor(a,xor(t3,and(sum,t1)))) = xor(and(sum,t1),or(a,b)),
inference(resolve,[$cnf( $equal(xor(or(a,b),and(sum,t1)),xor(and(sum,t1),or(a,b))) )],[refute_0_11569,refute_0_11617]) ).
cnf(refute_0_11619,plain,
xor(a,not(xor(t3,and(sum,t1)))) = not(xor(a,xor(t3,and(sum,t1)))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(a)),bind(X_334,$fot(xor(t3,and(sum,t1))))]]) ).
cnf(refute_0_11620,plain,
( not(xor(a,xor(t3,and(sum,t1)))) != xor(and(sum,t1),or(a,b))
| xor(a,not(xor(t3,and(sum,t1)))) != not(xor(a,xor(t3,and(sum,t1))))
| xor(a,not(xor(t3,and(sum,t1)))) = xor(and(sum,t1),or(a,b)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(a,not(xor(t3,and(sum,t1)))))),bind(Y0,$fot(not(xor(a,xor(t3,and(sum,t1)))))),bind(Z0,$fot(xor(and(sum,t1),or(a,b))))]]) ).
cnf(refute_0_11621,plain,
( not(xor(a,xor(t3,and(sum,t1)))) != xor(and(sum,t1),or(a,b))
| xor(a,not(xor(t3,and(sum,t1)))) = xor(and(sum,t1),or(a,b)) ),
inference(resolve,[$cnf( $equal(xor(a,not(xor(t3,and(sum,t1)))),not(xor(a,xor(t3,and(sum,t1))))) )],[refute_0_11619,refute_0_11620]) ).
cnf(refute_0_11622,plain,
xor(a,not(xor(t3,and(sum,t1)))) = xor(and(sum,t1),or(a,b)),
inference(resolve,[$cnf( $equal(not(xor(a,xor(t3,and(sum,t1)))),xor(and(sum,t1),or(a,b))) )],[refute_0_11618,refute_0_11621]) ).
cnf(refute_0_11623,plain,
xor(t3,not(and(sum,t1))) = not(xor(t3,and(sum,t1))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t3)),bind(X_334,$fot(and(sum,t1)))]]) ).
cnf(refute_0_11624,plain,
xor(a,xor(t3,not(and(sum,t1)))) = xor(a,xor(t3,not(and(sum,t1)))),
introduced(tautology,[refl,[$fot(xor(a,xor(t3,not(and(sum,t1)))))]]) ).
cnf(refute_0_11625,plain,
( xor(a,xor(t3,not(and(sum,t1)))) != xor(a,xor(t3,not(and(sum,t1))))
| xor(t3,not(and(sum,t1))) != not(xor(t3,and(sum,t1)))
| xor(a,xor(t3,not(and(sum,t1)))) = xor(a,not(xor(t3,and(sum,t1)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t3,not(and(sum,t1)))),xor(a,xor(t3,not(and(sum,t1))))) ),[1,1],$fot(not(xor(t3,and(sum,t1))))]]) ).
cnf(refute_0_11626,plain,
( xor(t3,not(and(sum,t1))) != not(xor(t3,and(sum,t1)))
| xor(a,xor(t3,not(and(sum,t1)))) = xor(a,not(xor(t3,and(sum,t1)))) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,not(and(sum,t1)))),xor(a,xor(t3,not(and(sum,t1))))) )],[refute_0_11624,refute_0_11625]) ).
cnf(refute_0_11627,plain,
xor(a,xor(t3,not(and(sum,t1)))) = xor(a,not(xor(t3,and(sum,t1)))),
inference(resolve,[$cnf( $equal(xor(t3,not(and(sum,t1))),not(xor(t3,and(sum,t1)))) )],[refute_0_11623,refute_0_11626]) ).
cnf(refute_0_11628,plain,
( xor(a,not(xor(t3,and(sum,t1)))) != xor(and(sum,t1),or(a,b))
| xor(a,xor(t3,not(and(sum,t1)))) != xor(a,not(xor(t3,and(sum,t1))))
| xor(a,xor(t3,not(and(sum,t1)))) = xor(and(sum,t1),or(a,b)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(a,xor(t3,not(and(sum,t1)))))),bind(Y0,$fot(xor(a,not(xor(t3,and(sum,t1)))))),bind(Z0,$fot(xor(and(sum,t1),or(a,b))))]]) ).
cnf(refute_0_11629,plain,
( xor(a,not(xor(t3,and(sum,t1)))) != xor(and(sum,t1),or(a,b))
| xor(a,xor(t3,not(and(sum,t1)))) = xor(and(sum,t1),or(a,b)) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,not(and(sum,t1)))),xor(a,not(xor(t3,and(sum,t1))))) )],[refute_0_11627,refute_0_11628]) ).
cnf(refute_0_11630,plain,
xor(a,xor(t3,not(and(sum,t1)))) = xor(and(sum,t1),or(a,b)),
inference(resolve,[$cnf( $equal(xor(a,not(xor(t3,and(sum,t1)))),xor(and(sum,t1),or(a,b))) )],[refute_0_11622,refute_0_11629]) ).
cnf(refute_0_11631,plain,
( xor(a,xor(t3,not(and(sum,t1)))) != xor(and(sum,t1),or(a,b))
| xor(a,xor(t3,not(and(sum,t1)))) != xor(carry,xor(sum,and(sum,or(a,b))))
| xor(and(sum,t1),or(a,b)) = xor(carry,xor(sum,and(sum,or(a,b)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t3,not(and(sum,t1)))),xor(carry,xor(sum,and(sum,or(a,b))))) ),[0],$fot(xor(and(sum,t1),or(a,b)))]]) ).
cnf(refute_0_11632,plain,
( xor(a,xor(t3,not(and(sum,t1)))) != xor(carry,xor(sum,and(sum,or(a,b))))
| xor(and(sum,t1),or(a,b)) = xor(carry,xor(sum,and(sum,or(a,b)))) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,not(and(sum,t1)))),xor(and(sum,t1),or(a,b))) )],[refute_0_11630,refute_0_11631]) ).
cnf(refute_0_11633,plain,
xor(carry,not(or(a,t7))) = not(xor(carry,or(a,t7))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(carry)),bind(X_334,$fot(or(a,t7)))]]) ).
cnf(refute_0_11634,plain,
xor(sum,xor(t6,or(t1,t7))) = xor(t7,or(t1,t7)),
inference(subst,[],[refute_0_5410:[bind(Z,$fot(or(t1,t7)))]]) ).
cnf(refute_0_11635,plain,
( xor(sum,xor(t6,or(t1,t7))) != xor(t7,or(t1,t7))
| xor(t6,or(t1,t7)) != and(sum,or(a,b))
| xor(sum,and(sum,or(a,b))) = xor(t7,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,xor(t6,or(t1,t7))),xor(t7,or(t1,t7))) ),[0,1],$fot(and(sum,or(a,b)))]]) ).
cnf(refute_0_11636,plain,
( xor(sum,xor(t6,or(t1,t7))) != xor(t7,or(t1,t7))
| xor(sum,and(sum,or(a,b))) = xor(t7,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(xor(t6,or(t1,t7)),and(sum,or(a,b))) )],[refute_0_11185,refute_0_11635]) ).
cnf(refute_0_11637,plain,
xor(sum,and(sum,or(a,b))) = xor(t7,or(t1,t7)),
inference(resolve,[$cnf( $equal(xor(sum,xor(t6,or(t1,t7))),xor(t7,or(t1,t7))) )],[refute_0_11634,refute_0_11636]) ).
cnf(refute_0_11638,plain,
( xor(sum,and(sum,or(a,b))) != xor(t7,or(t1,t7))
| xor(t7,or(t1,t7)) != not(or(a,t7))
| xor(sum,and(sum,or(a,b))) = not(or(a,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(sum,and(sum,or(a,b))),not(or(a,t7))) ),[0],$fot(xor(t7,or(t1,t7)))]]) ).
cnf(refute_0_11639,plain,
( xor(sum,and(sum,or(a,b))) != xor(t7,or(t1,t7))
| xor(sum,and(sum,or(a,b))) = not(or(a,t7)) ),
inference(resolve,[$cnf( $equal(xor(t7,or(t1,t7)),not(or(a,t7))) )],[refute_0_11156,refute_0_11638]) ).
cnf(refute_0_11640,plain,
xor(sum,and(sum,or(a,b))) = not(or(a,t7)),
inference(resolve,[$cnf( $equal(xor(sum,and(sum,or(a,b))),xor(t7,or(t1,t7))) )],[refute_0_11637,refute_0_11639]) ).
cnf(refute_0_11641,plain,
xor(carry,xor(sum,and(sum,or(a,b)))) = xor(carry,xor(sum,and(sum,or(a,b)))),
introduced(tautology,[refl,[$fot(xor(carry,xor(sum,and(sum,or(a,b)))))]]) ).
cnf(refute_0_11642,plain,
( xor(carry,xor(sum,and(sum,or(a,b)))) != xor(carry,xor(sum,and(sum,or(a,b))))
| xor(sum,and(sum,or(a,b))) != not(or(a,t7))
| xor(carry,xor(sum,and(sum,or(a,b)))) = xor(carry,not(or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(sum,and(sum,or(a,b)))),xor(carry,xor(sum,and(sum,or(a,b))))) ),[1,1],$fot(not(or(a,t7)))]]) ).
cnf(refute_0_11643,plain,
( xor(sum,and(sum,or(a,b))) != not(or(a,t7))
| xor(carry,xor(sum,and(sum,or(a,b)))) = xor(carry,not(or(a,t7))) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(sum,and(sum,or(a,b)))),xor(carry,xor(sum,and(sum,or(a,b))))) )],[refute_0_11641,refute_0_11642]) ).
cnf(refute_0_11644,plain,
xor(carry,xor(sum,and(sum,or(a,b)))) = xor(carry,not(or(a,t7))),
inference(resolve,[$cnf( $equal(xor(sum,and(sum,or(a,b))),not(or(a,t7))) )],[refute_0_11640,refute_0_11643]) ).
cnf(refute_0_11645,plain,
( xor(carry,not(or(a,t7))) != not(xor(carry,or(a,t7)))
| xor(carry,xor(sum,and(sum,or(a,b)))) != xor(carry,not(or(a,t7)))
| xor(carry,xor(sum,and(sum,or(a,b)))) = not(xor(carry,or(a,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(carry,xor(sum,and(sum,or(a,b)))))),bind(Y0,$fot(xor(carry,not(or(a,t7))))),bind(Z0,$fot(not(xor(carry,or(a,t7)))))]]) ).
cnf(refute_0_11646,plain,
( xor(carry,not(or(a,t7))) != not(xor(carry,or(a,t7)))
| xor(carry,xor(sum,and(sum,or(a,b)))) = not(xor(carry,or(a,t7))) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(sum,and(sum,or(a,b)))),xor(carry,not(or(a,t7)))) )],[refute_0_11644,refute_0_11645]) ).
cnf(refute_0_11647,plain,
xor(carry,xor(sum,and(sum,or(a,b)))) = not(xor(carry,or(a,t7))),
inference(resolve,[$cnf( $equal(xor(carry,not(or(a,t7))),not(xor(carry,or(a,t7)))) )],[refute_0_11633,refute_0_11646]) ).
cnf(refute_0_11648,plain,
( xor(and(sum,t1),or(a,b)) != xor(carry,xor(sum,and(sum,or(a,b))))
| xor(carry,xor(sum,and(sum,or(a,b)))) != not(xor(carry,or(a,t7)))
| xor(and(sum,t1),or(a,b)) = not(xor(carry,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(and(sum,t1),or(a,b)),not(xor(carry,or(a,t7)))) ),[0],$fot(xor(carry,xor(sum,and(sum,or(a,b)))))]]) ).
cnf(refute_0_11649,plain,
( xor(and(sum,t1),or(a,b)) != xor(carry,xor(sum,and(sum,or(a,b))))
| xor(and(sum,t1),or(a,b)) = not(xor(carry,or(a,t7))) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(sum,and(sum,or(a,b)))),not(xor(carry,or(a,t7)))) )],[refute_0_11647,refute_0_11648]) ).
cnf(refute_0_11650,plain,
( xor(a,xor(t3,not(and(sum,t1)))) != xor(carry,xor(sum,and(sum,or(a,b))))
| xor(and(sum,t1),or(a,b)) = not(xor(carry,or(a,t7))) ),
inference(resolve,[$cnf( $equal(xor(and(sum,t1),or(a,b)),xor(carry,xor(sum,and(sum,or(a,b))))) )],[refute_0_11632,refute_0_11649]) ).
cnf(refute_0_11651,plain,
xor(and(sum,t1),or(a,b)) = not(xor(carry,or(a,t7))),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,not(and(sum,t1)))),xor(carry,xor(sum,and(sum,or(a,b))))) )],[refute_0_11199,refute_0_11650]) ).
cnf(refute_0_11652,plain,
xor(t1,xor(t1,or(carry,cin))) = or(carry,cin),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(t1)),bind(X_335,$fot(or(carry,cin)))]]) ).
cnf(refute_0_11653,plain,
or(and(t5,not(xor(carry,or(carry,cin)))),and(not(t5),xor(carry,or(carry,cin)))) = xor(t5,xor(carry,or(carry,cin))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t5)),bind(Y,$fot(xor(carry,or(carry,cin))))]]) ).
cnf(refute_0_11654,plain,
and(and(carry,t1),Z) = and(carry,and(t1,Z)),
inference(subst,[],[and_associative:[bind(X,$fot(carry)),bind(Y,$fot(t1))]]) ).
cnf(refute_0_11655,plain,
not(t5) = not(xor(t1,xor(t5,t1))),
inference(subst,[],[refute_0_8991:[bind(X_333,$fot(t5))]]) ).
cnf(refute_0_11656,plain,
xor(t1,xor(t5,t1)) = xor(carry,t1),
inference(subst,[],[refute_0_1349:[bind(X_335,$fot(t1))]]) ).
cnf(refute_0_11657,plain,
( not(t5) != not(xor(t1,xor(t5,t1)))
| xor(t1,xor(t5,t1)) != xor(carry,t1)
| not(t5) = not(xor(carry,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(t5),not(xor(t1,xor(t5,t1)))) ),[1,0],$fot(xor(carry,t1))]]) ).
cnf(refute_0_11658,plain,
( not(t5) != not(xor(t1,xor(t5,t1)))
| not(t5) = not(xor(carry,t1)) ),
inference(resolve,[$cnf( $equal(xor(t1,xor(t5,t1)),xor(carry,t1)) )],[refute_0_11656,refute_0_11657]) ).
cnf(refute_0_11659,plain,
not(t5) = not(xor(carry,t1)),
inference(resolve,[$cnf( $equal(not(t5),not(xor(t1,xor(t5,t1)))) )],[refute_0_11655,refute_0_11658]) ).
cnf(refute_0_11660,plain,
not(not(and(carry,t1))) = and(carry,t1),
inference(subst,[],[not_involution:[bind(X,$fot(and(carry,t1)))]]) ).
cnf(refute_0_11661,plain,
or(and(carry,not(t1)),and(not(carry),t1)) = xor(carry,t1),
inference(subst,[],[refute_0_9:[bind(X,$fot(carry)),bind(Y,$fot(t1))]]) ).
cnf(refute_0_11662,plain,
not(or(t1,not(carry))) = not(or(not(carry),t1)),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(not(carry))),bind(X_26,$fot(t1))]]) ).
cnf(refute_0_11663,plain,
( not(or(t1,not(carry))) != not(or(not(carry),t1))
| or(t1,not(carry)) != t1
| not(t1) = not(or(not(carry),t1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t1,not(carry))),not(or(not(carry),t1))) ),[0,0],$fot(t1)]]) ).
cnf(refute_0_11664,plain,
( not(or(t1,not(carry))) != not(or(not(carry),t1))
| not(t1) = not(or(not(carry),t1)) ),
inference(resolve,[$cnf( $equal(or(t1,not(carry)),t1) )],[refute_0_4991,refute_0_11663]) ).
cnf(refute_0_11665,plain,
not(t1) = not(or(not(carry),t1)),
inference(resolve,[$cnf( $equal(not(or(t1,not(carry))),not(or(not(carry),t1))) )],[refute_0_11662,refute_0_11664]) ).
cnf(refute_0_11666,plain,
not(or(not(carry),t1)) = and(carry,not(t1)),
inference(subst,[],[refute_0_159:[bind(X,$fot(carry)),bind(X_26,$fot(t1))]]) ).
cnf(refute_0_11667,plain,
( not(or(not(carry),t1)) != and(carry,not(t1))
| not(t1) != not(or(not(carry),t1))
| not(t1) = and(carry,not(t1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(t1),not(or(not(carry),t1))) ),[1],$fot(and(carry,not(t1)))]]) ).
cnf(refute_0_11668,plain,
( not(t1) != not(or(not(carry),t1))
| not(t1) = and(carry,not(t1)) ),
inference(resolve,[$cnf( $equal(not(or(not(carry),t1)),and(carry,not(t1))) )],[refute_0_11666,refute_0_11667]) ).
cnf(refute_0_11669,plain,
not(t1) = and(carry,not(t1)),
inference(resolve,[$cnf( $equal(not(t1),not(or(not(carry),t1))) )],[refute_0_11665,refute_0_11668]) ).
cnf(refute_0_11670,plain,
( not(t1) != and(carry,not(t1))
| and(carry,not(t1)) = not(t1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t1))),bind(Y0,$fot(and(carry,not(t1))))]]) ).
cnf(refute_0_11671,plain,
and(carry,not(t1)) = not(t1),
inference(resolve,[$cnf( $equal(not(t1),and(carry,not(t1))) )],[refute_0_11669,refute_0_11670]) ).
cnf(refute_0_11672,plain,
( and(carry,not(t1)) != not(t1)
| or(and(carry,not(t1)),and(not(carry),t1)) != xor(carry,t1)
| or(not(t1),and(not(carry),t1)) = xor(carry,t1) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(carry,not(t1)),and(not(carry),t1)),xor(carry,t1)) ),[0,0],$fot(not(t1))]]) ).
cnf(refute_0_11673,plain,
( or(and(carry,not(t1)),and(not(carry),t1)) != xor(carry,t1)
| or(not(t1),and(not(carry),t1)) = xor(carry,t1) ),
inference(resolve,[$cnf( $equal(and(carry,not(t1)),not(t1)) )],[refute_0_11671,refute_0_11672]) ).
cnf(refute_0_11674,plain,
or(not(t1),and(not(carry),t1)) = xor(carry,t1),
inference(resolve,[$cnf( $equal(or(and(carry,not(t1)),and(not(carry),t1)),xor(carry,t1)) )],[refute_0_11661,refute_0_11673]) ).
cnf(refute_0_11675,plain,
not(and(t1,carry)) = not(and(carry,t1)),
inference(subst,[],[refute_0_333:[bind(X_31,$fot(t1)),bind(X_32,$fot(carry))]]) ).
cnf(refute_0_11676,plain,
or(not(t1),not(carry)) = not(and(t1,carry)),
inference(subst,[],[refute_0_147:[bind(X,$fot(t1)),bind(Y,$fot(carry))]]) ).
cnf(refute_0_11677,plain,
( not(and(t1,carry)) != not(and(carry,t1))
| or(not(t1),not(carry)) != not(and(t1,carry))
| or(not(t1),not(carry)) = not(and(carry,t1)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t1),not(carry)))),bind(Y0,$fot(not(and(t1,carry)))),bind(Z0,$fot(not(and(carry,t1))))]]) ).
cnf(refute_0_11678,plain,
( not(and(t1,carry)) != not(and(carry,t1))
| or(not(t1),not(carry)) = not(and(carry,t1)) ),
inference(resolve,[$cnf( $equal(or(not(t1),not(carry)),not(and(t1,carry))) )],[refute_0_11676,refute_0_11677]) ).
cnf(refute_0_11679,plain,
or(not(t1),not(carry)) = not(and(carry,t1)),
inference(resolve,[$cnf( $equal(not(and(t1,carry)),not(and(carry,t1))) )],[refute_0_11675,refute_0_11678]) ).
cnf(refute_0_11680,plain,
or(not(t1),and(not(carry),t1)) = or(not(t1),and(not(carry),t1)),
introduced(tautology,[refl,[$fot(or(not(t1),and(not(carry),t1)))]]) ).
cnf(refute_0_11681,plain,
( and(not(carry),t1) != not(carry)
| or(not(t1),and(not(carry),t1)) != or(not(t1),and(not(carry),t1))
| or(not(t1),and(not(carry),t1)) = or(not(t1),not(carry)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t1),and(not(carry),t1)),or(not(t1),and(not(carry),t1))) ),[1,1],$fot(not(carry))]]) ).
cnf(refute_0_11682,plain,
( and(not(carry),t1) != not(carry)
| or(not(t1),and(not(carry),t1)) = or(not(t1),not(carry)) ),
inference(resolve,[$cnf( $equal(or(not(t1),and(not(carry),t1)),or(not(t1),and(not(carry),t1))) )],[refute_0_11680,refute_0_11681]) ).
cnf(refute_0_11683,plain,
or(not(t1),and(not(carry),t1)) = or(not(t1),not(carry)),
inference(resolve,[$cnf( $equal(and(not(carry),t1),not(carry)) )],[refute_0_4994,refute_0_11682]) ).
cnf(refute_0_11684,plain,
( or(not(t1),and(not(carry),t1)) != or(not(t1),not(carry))
| or(not(t1),not(carry)) != not(and(carry,t1))
| or(not(t1),and(not(carry),t1)) = not(and(carry,t1)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t1),and(not(carry),t1)))),bind(Y0,$fot(or(not(t1),not(carry)))),bind(Z0,$fot(not(and(carry,t1))))]]) ).
cnf(refute_0_11685,plain,
( or(not(t1),not(carry)) != not(and(carry,t1))
| or(not(t1),and(not(carry),t1)) = not(and(carry,t1)) ),
inference(resolve,[$cnf( $equal(or(not(t1),and(not(carry),t1)),or(not(t1),not(carry))) )],[refute_0_11683,refute_0_11684]) ).
cnf(refute_0_11686,plain,
or(not(t1),and(not(carry),t1)) = not(and(carry,t1)),
inference(resolve,[$cnf( $equal(or(not(t1),not(carry)),not(and(carry,t1))) )],[refute_0_11679,refute_0_11685]) ).
cnf(refute_0_11687,plain,
( or(not(t1),and(not(carry),t1)) != not(and(carry,t1))
| or(not(t1),and(not(carry),t1)) != xor(carry,t1)
| not(and(carry,t1)) = xor(carry,t1) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t1),and(not(carry),t1)),xor(carry,t1)) ),[0],$fot(not(and(carry,t1)))]]) ).
cnf(refute_0_11688,plain,
( or(not(t1),and(not(carry),t1)) != xor(carry,t1)
| not(and(carry,t1)) = xor(carry,t1) ),
inference(resolve,[$cnf( $equal(or(not(t1),and(not(carry),t1)),not(and(carry,t1))) )],[refute_0_11686,refute_0_11687]) ).
cnf(refute_0_11689,plain,
not(and(carry,t1)) = xor(carry,t1),
inference(resolve,[$cnf( $equal(or(not(t1),and(not(carry),t1)),xor(carry,t1)) )],[refute_0_11674,refute_0_11688]) ).
cnf(refute_0_11690,plain,
( not(and(carry,t1)) != xor(carry,t1)
| not(not(and(carry,t1))) != and(carry,t1)
| not(xor(carry,t1)) = and(carry,t1) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(carry,t1))),and(carry,t1)) ),[0,0],$fot(xor(carry,t1))]]) ).
cnf(refute_0_11691,plain,
( not(not(and(carry,t1))) != and(carry,t1)
| not(xor(carry,t1)) = and(carry,t1) ),
inference(resolve,[$cnf( $equal(not(and(carry,t1)),xor(carry,t1)) )],[refute_0_11689,refute_0_11690]) ).
cnf(refute_0_11692,plain,
not(xor(carry,t1)) = and(carry,t1),
inference(resolve,[$cnf( $equal(not(not(and(carry,t1))),and(carry,t1)) )],[refute_0_11660,refute_0_11691]) ).
cnf(refute_0_11693,plain,
( not(t5) != not(xor(carry,t1))
| not(xor(carry,t1)) != and(carry,t1)
| not(t5) = and(carry,t1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(t5),and(carry,t1)) ),[0],$fot(not(xor(carry,t1)))]]) ).
cnf(refute_0_11694,plain,
( not(t5) != not(xor(carry,t1))
| not(t5) = and(carry,t1) ),
inference(resolve,[$cnf( $equal(not(xor(carry,t1)),and(carry,t1)) )],[refute_0_11692,refute_0_11693]) ).
cnf(refute_0_11695,plain,
not(t5) = and(carry,t1),
inference(resolve,[$cnf( $equal(not(t5),not(xor(carry,t1))) )],[refute_0_11659,refute_0_11694]) ).
cnf(refute_0_11696,plain,
( not(t5) != and(carry,t1)
| and(carry,t1) = not(t5) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t5))),bind(Y0,$fot(and(carry,t1)))]]) ).
cnf(refute_0_11697,plain,
and(carry,t1) = not(t5),
inference(resolve,[$cnf( $equal(not(t5),and(carry,t1)) )],[refute_0_11695,refute_0_11696]) ).
cnf(refute_0_11698,plain,
( and(and(carry,t1),Z) != and(carry,and(t1,Z))
| and(carry,t1) != not(t5)
| and(not(t5),Z) = and(carry,and(t1,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(carry,t1),Z),and(carry,and(t1,Z))) ),[0,0],$fot(not(t5))]]) ).
cnf(refute_0_11699,plain,
( and(and(carry,t1),Z) != and(carry,and(t1,Z))
| and(not(t5),Z) = and(carry,and(t1,Z)) ),
inference(resolve,[$cnf( $equal(and(carry,t1),not(t5)) )],[refute_0_11697,refute_0_11698]) ).
cnf(refute_0_11700,plain,
and(not(t5),Z) = and(carry,and(t1,Z)),
inference(resolve,[$cnf( $equal(and(and(carry,t1),Z),and(carry,and(t1,Z))) )],[refute_0_11654,refute_0_11699]) ).
cnf(refute_0_11701,plain,
and(not(t5),xor(carry,or(carry,cin))) = and(carry,and(t1,xor(carry,or(carry,cin)))),
inference(subst,[],[refute_0_11700:[bind(Z,$fot(xor(carry,or(carry,cin))))]]) ).
cnf(refute_0_11702,plain,
and(not(carry),or(cin,and(carry,t5))) = and(t1,and(not(carry),or(cin,and(carry,t5)))),
inference(subst,[],[refute_0_10470:[bind(X_222,$fot(or(cin,and(carry,t5))))]]) ).
cnf(refute_0_11703,plain,
or(and(carry,not(or(cin,and(carry,t5)))),and(not(carry),or(cin,and(carry,t5)))) = xor(carry,or(cin,and(carry,t5))),
inference(subst,[],[refute_0_9:[bind(X,$fot(carry)),bind(Y,$fot(or(cin,and(carry,t5))))]]) ).
cnf(refute_0_11704,plain,
and(t5,and(not(cin),and(carry,xor(carry,t5)))) = ll0,
inference(subst,[],[refute_0_10402:[bind(X_220,$fot(not(cin)))]]) ).
cnf(refute_0_11705,plain,
and(not(cin),and(carry,xor(carry,t5))) = and(t5,and(not(cin),and(carry,xor(carry,t5)))),
inference(subst,[],[refute_0_4402:[bind(X_222,$fot(and(carry,xor(carry,t5))))]]) ).
cnf(refute_0_11706,plain,
( and(not(cin),and(carry,xor(carry,t5))) != and(t5,and(not(cin),and(carry,xor(carry,t5))))
| and(t5,and(not(cin),and(carry,xor(carry,t5)))) = and(not(cin),and(carry,xor(carry,t5))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(cin),and(carry,xor(carry,t5))))),bind(Y0,$fot(and(t5,and(not(cin),and(carry,xor(carry,t5))))))]]) ).
cnf(refute_0_11707,plain,
and(t5,and(not(cin),and(carry,xor(carry,t5)))) = and(not(cin),and(carry,xor(carry,t5))),
inference(resolve,[$cnf( $equal(and(not(cin),and(carry,xor(carry,t5))),and(t5,and(not(cin),and(carry,xor(carry,t5))))) )],[refute_0_11705,refute_0_11706]) ).
cnf(refute_0_11708,plain,
( and(t5,and(not(cin),and(carry,xor(carry,t5)))) != and(not(cin),and(carry,xor(carry,t5)))
| and(t5,and(not(cin),and(carry,xor(carry,t5)))) != ll0
| and(not(cin),and(carry,xor(carry,t5))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,and(not(cin),and(carry,xor(carry,t5)))),ll0) ),[0],$fot(and(not(cin),and(carry,xor(carry,t5))))]]) ).
cnf(refute_0_11709,plain,
( and(t5,and(not(cin),and(carry,xor(carry,t5)))) != ll0
| and(not(cin),and(carry,xor(carry,t5))) = ll0 ),
inference(resolve,[$cnf( $equal(and(t5,and(not(cin),and(carry,xor(carry,t5)))),and(not(cin),and(carry,xor(carry,t5)))) )],[refute_0_11707,refute_0_11708]) ).
cnf(refute_0_11710,plain,
and(not(cin),and(carry,xor(carry,t5))) = ll0,
inference(resolve,[$cnf( $equal(and(t5,and(not(cin),and(carry,xor(carry,t5)))),ll0) )],[refute_0_11704,refute_0_11709]) ).
cnf(refute_0_11711,plain,
and(not(cin),xor(carry,t5)) = not(or(cin,and(carry,t5))),
inference(subst,[],[refute_0_10412:[bind(X,$fot(cin))]]) ).
cnf(refute_0_11712,plain,
and(carry,and(not(cin),xor(carry,t5))) = and(carry,and(not(cin),xor(carry,t5))),
introduced(tautology,[refl,[$fot(and(carry,and(not(cin),xor(carry,t5))))]]) ).
cnf(refute_0_11713,plain,
( and(carry,and(not(cin),xor(carry,t5))) != and(carry,and(not(cin),xor(carry,t5)))
| and(not(cin),xor(carry,t5)) != not(or(cin,and(carry,t5)))
| and(carry,and(not(cin),xor(carry,t5))) = and(carry,not(or(cin,and(carry,t5)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,and(not(cin),xor(carry,t5))),and(carry,and(not(cin),xor(carry,t5)))) ),[1,1],$fot(not(or(cin,and(carry,t5))))]]) ).
cnf(refute_0_11714,plain,
( and(not(cin),xor(carry,t5)) != not(or(cin,and(carry,t5)))
| and(carry,and(not(cin),xor(carry,t5))) = and(carry,not(or(cin,and(carry,t5)))) ),
inference(resolve,[$cnf( $equal(and(carry,and(not(cin),xor(carry,t5))),and(carry,and(not(cin),xor(carry,t5)))) )],[refute_0_11712,refute_0_11713]) ).
cnf(refute_0_11715,plain,
and(carry,and(not(cin),xor(carry,t5))) = and(carry,not(or(cin,and(carry,t5)))),
inference(resolve,[$cnf( $equal(and(not(cin),xor(carry,t5)),not(or(cin,and(carry,t5)))) )],[refute_0_11711,refute_0_11714]) ).
cnf(refute_0_11716,plain,
and(not(cin),and(carry,xor(carry,t5))) = and(carry,and(not(cin),xor(carry,t5))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(cin))),bind(X_221,$fot(carry)),bind(X_222,$fot(xor(carry,t5)))]]) ).
cnf(refute_0_11717,plain,
( and(carry,and(not(cin),xor(carry,t5))) != and(carry,not(or(cin,and(carry,t5))))
| and(not(cin),and(carry,xor(carry,t5))) != and(carry,and(not(cin),xor(carry,t5)))
| and(not(cin),and(carry,xor(carry,t5))) = and(carry,not(or(cin,and(carry,t5)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(cin),and(carry,xor(carry,t5))))),bind(Y0,$fot(and(carry,and(not(cin),xor(carry,t5))))),bind(Z0,$fot(and(carry,not(or(cin,and(carry,t5))))))]]) ).
cnf(refute_0_11718,plain,
( and(carry,and(not(cin),xor(carry,t5))) != and(carry,not(or(cin,and(carry,t5))))
| and(not(cin),and(carry,xor(carry,t5))) = and(carry,not(or(cin,and(carry,t5)))) ),
inference(resolve,[$cnf( $equal(and(not(cin),and(carry,xor(carry,t5))),and(carry,and(not(cin),xor(carry,t5)))) )],[refute_0_11716,refute_0_11717]) ).
cnf(refute_0_11719,plain,
and(not(cin),and(carry,xor(carry,t5))) = and(carry,not(or(cin,and(carry,t5)))),
inference(resolve,[$cnf( $equal(and(carry,and(not(cin),xor(carry,t5))),and(carry,not(or(cin,and(carry,t5))))) )],[refute_0_11715,refute_0_11718]) ).
cnf(refute_0_11720,plain,
( and(not(cin),and(carry,xor(carry,t5))) != and(carry,not(or(cin,and(carry,t5))))
| and(not(cin),and(carry,xor(carry,t5))) != ll0
| and(carry,not(or(cin,and(carry,t5)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(not(cin),and(carry,xor(carry,t5))),ll0) ),[0],$fot(and(carry,not(or(cin,and(carry,t5)))))]]) ).
cnf(refute_0_11721,plain,
( and(not(cin),and(carry,xor(carry,t5))) != ll0
| and(carry,not(or(cin,and(carry,t5)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(not(cin),and(carry,xor(carry,t5))),and(carry,not(or(cin,and(carry,t5))))) )],[refute_0_11719,refute_0_11720]) ).
cnf(refute_0_11722,plain,
and(carry,not(or(cin,and(carry,t5)))) = ll0,
inference(resolve,[$cnf( $equal(and(not(cin),and(carry,xor(carry,t5))),ll0) )],[refute_0_11710,refute_0_11721]) ).
cnf(refute_0_11723,plain,
( and(carry,not(or(cin,and(carry,t5)))) != ll0
| or(and(carry,not(or(cin,and(carry,t5)))),and(not(carry),or(cin,and(carry,t5)))) != xor(carry,or(cin,and(carry,t5)))
| or(ll0,and(not(carry),or(cin,and(carry,t5)))) = xor(carry,or(cin,and(carry,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(carry,not(or(cin,and(carry,t5)))),and(not(carry),or(cin,and(carry,t5)))),xor(carry,or(cin,and(carry,t5)))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_11724,plain,
( or(and(carry,not(or(cin,and(carry,t5)))),and(not(carry),or(cin,and(carry,t5)))) != xor(carry,or(cin,and(carry,t5)))
| or(ll0,and(not(carry),or(cin,and(carry,t5)))) = xor(carry,or(cin,and(carry,t5))) ),
inference(resolve,[$cnf( $equal(and(carry,not(or(cin,and(carry,t5)))),ll0) )],[refute_0_11722,refute_0_11723]) ).
cnf(refute_0_11725,plain,
or(ll0,and(not(carry),or(cin,and(carry,t5)))) = xor(carry,or(cin,and(carry,t5))),
inference(resolve,[$cnf( $equal(or(and(carry,not(or(cin,and(carry,t5)))),and(not(carry),or(cin,and(carry,t5)))),xor(carry,or(cin,and(carry,t5)))) )],[refute_0_11703,refute_0_11724]) ).
cnf(refute_0_11726,plain,
or(ll0,and(not(carry),or(cin,and(carry,t5)))) = and(not(carry),or(cin,and(carry,t5))),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(carry),or(cin,and(carry,t5)))))]]) ).
cnf(refute_0_11727,plain,
( or(ll0,and(not(carry),or(cin,and(carry,t5)))) != and(not(carry),or(cin,and(carry,t5)))
| or(ll0,and(not(carry),or(cin,and(carry,t5)))) != xor(carry,or(cin,and(carry,t5)))
| and(not(carry),or(cin,and(carry,t5))) = xor(carry,or(cin,and(carry,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(carry),or(cin,and(carry,t5)))),xor(carry,or(cin,and(carry,t5)))) ),[0],$fot(and(not(carry),or(cin,and(carry,t5))))]]) ).
cnf(refute_0_11728,plain,
( or(ll0,and(not(carry),or(cin,and(carry,t5)))) != xor(carry,or(cin,and(carry,t5)))
| and(not(carry),or(cin,and(carry,t5))) = xor(carry,or(cin,and(carry,t5))) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(carry),or(cin,and(carry,t5)))),and(not(carry),or(cin,and(carry,t5)))) )],[refute_0_11726,refute_0_11727]) ).
cnf(refute_0_11729,plain,
and(not(carry),or(cin,and(carry,t5))) = xor(carry,or(cin,and(carry,t5))),
inference(resolve,[$cnf( $equal(or(ll0,and(not(carry),or(cin,and(carry,t5)))),xor(carry,or(cin,and(carry,t5)))) )],[refute_0_11725,refute_0_11728]) ).
cnf(refute_0_11730,plain,
( and(not(carry),or(cin,and(carry,t5))) != and(t1,and(not(carry),or(cin,and(carry,t5))))
| and(not(carry),or(cin,and(carry,t5))) != xor(carry,or(cin,and(carry,t5)))
| and(not(carry),or(cin,and(carry,t5))) = and(t1,xor(carry,or(cin,and(carry,t5)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),or(cin,and(carry,t5))),and(t1,and(not(carry),or(cin,and(carry,t5))))) ),[1,1],$fot(xor(carry,or(cin,and(carry,t5))))]]) ).
cnf(refute_0_11731,plain,
( and(not(carry),or(cin,and(carry,t5))) != and(t1,and(not(carry),or(cin,and(carry,t5))))
| and(not(carry),or(cin,and(carry,t5))) = and(t1,xor(carry,or(cin,and(carry,t5)))) ),
inference(resolve,[$cnf( $equal(and(not(carry),or(cin,and(carry,t5))),xor(carry,or(cin,and(carry,t5)))) )],[refute_0_11729,refute_0_11730]) ).
cnf(refute_0_11732,plain,
and(not(carry),or(cin,and(carry,t5))) = and(t1,xor(carry,or(cin,and(carry,t5)))),
inference(resolve,[$cnf( $equal(and(not(carry),or(cin,and(carry,t5))),and(t1,and(not(carry),or(cin,and(carry,t5))))) )],[refute_0_11702,refute_0_11731]) ).
cnf(refute_0_11733,plain,
( and(not(carry),or(cin,and(carry,t5))) != and(t1,xor(carry,or(cin,and(carry,t5))))
| and(not(carry),or(cin,and(carry,t5))) != xor(carry,or(cin,and(carry,t5)))
| xor(carry,or(cin,and(carry,t5))) = and(t1,xor(carry,or(cin,and(carry,t5)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),or(cin,and(carry,t5))),and(t1,xor(carry,or(cin,and(carry,t5))))) ),[0],$fot(xor(carry,or(cin,and(carry,t5))))]]) ).
cnf(refute_0_11734,plain,
( and(not(carry),or(cin,and(carry,t5))) != and(t1,xor(carry,or(cin,and(carry,t5))))
| xor(carry,or(cin,and(carry,t5))) = and(t1,xor(carry,or(cin,and(carry,t5)))) ),
inference(resolve,[$cnf( $equal(and(not(carry),or(cin,and(carry,t5))),xor(carry,or(cin,and(carry,t5)))) )],[refute_0_11729,refute_0_11733]) ).
cnf(refute_0_11735,plain,
xor(carry,or(cin,and(carry,t5))) = and(t1,xor(carry,or(cin,and(carry,t5)))),
inference(resolve,[$cnf( $equal(and(not(carry),or(cin,and(carry,t5))),and(t1,xor(carry,or(cin,and(carry,t5))))) )],[refute_0_11732,refute_0_11734]) ).
cnf(refute_0_11736,plain,
not(and(not(cin),t1)) = not(and(t1,not(cin))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(t1)),bind(X_32,$fot(not(cin)))]]) ).
cnf(refute_0_11737,plain,
and(not(carry),not(cin)) = and(t1,and(t5,not(cin))),
inference(subst,[],[refute_0_178:[bind(X_222,$fot(not(cin)))]]) ).
cnf(refute_0_11738,plain,
( and(not(carry),not(cin)) != and(t1,and(t5,not(cin)))
| and(t5,not(cin)) != not(cin)
| and(not(carry),not(cin)) = and(t1,not(cin)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),not(cin)),and(t1,and(t5,not(cin)))) ),[1,1],$fot(not(cin))]]) ).
cnf(refute_0_11739,plain,
( and(not(carry),not(cin)) != and(t1,and(t5,not(cin)))
| and(not(carry),not(cin)) = and(t1,not(cin)) ),
inference(resolve,[$cnf( $equal(and(t5,not(cin)),not(cin)) )],[refute_0_2289,refute_0_11738]) ).
cnf(refute_0_11740,plain,
and(not(carry),not(cin)) = and(t1,not(cin)),
inference(resolve,[$cnf( $equal(and(not(carry),not(cin)),and(t1,and(t5,not(cin)))) )],[refute_0_11737,refute_0_11739]) ).
cnf(refute_0_11741,plain,
and(not(carry),not(cin)) = not(or(carry,cin)),
inference(subst,[],[refute_0_101:[bind(X,$fot(carry)),bind(Y,$fot(cin))]]) ).
cnf(refute_0_11742,plain,
( and(not(carry),not(cin)) != and(t1,not(cin))
| and(not(carry),not(cin)) != not(or(carry,cin))
| not(or(carry,cin)) = and(t1,not(cin)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),not(cin)),and(t1,not(cin))) ),[0],$fot(not(or(carry,cin)))]]) ).
cnf(refute_0_11743,plain,
( and(not(carry),not(cin)) != and(t1,not(cin))
| not(or(carry,cin)) = and(t1,not(cin)) ),
inference(resolve,[$cnf( $equal(and(not(carry),not(cin)),not(or(carry,cin))) )],[refute_0_11741,refute_0_11742]) ).
cnf(refute_0_11744,plain,
not(or(carry,cin)) = and(t1,not(cin)),
inference(resolve,[$cnf( $equal(and(not(carry),not(cin)),and(t1,not(cin))) )],[refute_0_11740,refute_0_11743]) ).
cnf(refute_0_11745,plain,
( not(or(carry,cin)) != and(t1,not(cin))
| and(t1,not(cin)) = not(or(carry,cin)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(carry,cin)))),bind(Y0,$fot(and(t1,not(cin))))]]) ).
cnf(refute_0_11746,plain,
and(t1,not(cin)) = not(or(carry,cin)),
inference(resolve,[$cnf( $equal(not(or(carry,cin)),and(t1,not(cin))) )],[refute_0_11744,refute_0_11745]) ).
cnf(refute_0_11747,plain,
( and(t1,not(cin)) != not(or(carry,cin))
| not(and(not(cin),t1)) != not(and(t1,not(cin)))
| not(and(not(cin),t1)) = not(not(or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(cin),t1)),not(and(t1,not(cin)))) ),[1,0],$fot(not(or(carry,cin)))]]) ).
cnf(refute_0_11748,plain,
( not(and(not(cin),t1)) != not(and(t1,not(cin)))
| not(and(not(cin),t1)) = not(not(or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(t1,not(cin)),not(or(carry,cin))) )],[refute_0_11746,refute_0_11747]) ).
cnf(refute_0_11749,plain,
not(and(not(cin),t1)) = not(not(or(carry,cin))),
inference(resolve,[$cnf( $equal(not(and(not(cin),t1)),not(and(t1,not(cin)))) )],[refute_0_11736,refute_0_11748]) ).
cnf(refute_0_11750,plain,
not(and(not(cin),t1)) = or(cin,not(t1)),
inference(subst,[],[refute_0_787:[bind(X,$fot(cin)),bind(X_32,$fot(t1))]]) ).
cnf(refute_0_11751,plain,
( not(and(not(cin),t1)) != not(not(or(carry,cin)))
| not(and(not(cin),t1)) != or(cin,not(t1))
| or(cin,not(t1)) = not(not(or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(cin),t1)),not(not(or(carry,cin)))) ),[0],$fot(or(cin,not(t1)))]]) ).
cnf(refute_0_11752,plain,
( not(and(not(cin),t1)) != not(not(or(carry,cin)))
| or(cin,not(t1)) = not(not(or(carry,cin))) ),
inference(resolve,[$cnf( $equal(not(and(not(cin),t1)),or(cin,not(t1))) )],[refute_0_11750,refute_0_11751]) ).
cnf(refute_0_11753,plain,
not(not(or(carry,cin))) = or(carry,cin),
inference(subst,[],[not_involution:[bind(X,$fot(or(carry,cin)))]]) ).
cnf(refute_0_11754,plain,
( not(not(or(carry,cin))) != or(carry,cin)
| or(cin,not(t1)) != not(not(or(carry,cin)))
| or(cin,not(t1)) = or(carry,cin) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,not(t1)),not(not(or(carry,cin)))) ),[1],$fot(or(carry,cin))]]) ).
cnf(refute_0_11755,plain,
( or(cin,not(t1)) != not(not(or(carry,cin)))
| or(cin,not(t1)) = or(carry,cin) ),
inference(resolve,[$cnf( $equal(not(not(or(carry,cin))),or(carry,cin)) )],[refute_0_11753,refute_0_11754]) ).
cnf(refute_0_11756,plain,
( not(and(not(cin),t1)) != not(not(or(carry,cin)))
| or(cin,not(t1)) = or(carry,cin) ),
inference(resolve,[$cnf( $equal(or(cin,not(t1)),not(not(or(carry,cin)))) )],[refute_0_11752,refute_0_11755]) ).
cnf(refute_0_11757,plain,
or(cin,not(t1)) = or(carry,cin),
inference(resolve,[$cnf( $equal(not(and(not(cin),t1)),not(not(or(carry,cin)))) )],[refute_0_11749,refute_0_11756]) ).
cnf(refute_0_11758,plain,
or(cin,and(carry,t5)) = or(cin,and(carry,t5)),
introduced(tautology,[refl,[$fot(or(cin,and(carry,t5)))]]) ).
cnf(refute_0_11759,plain,
( and(carry,t5) != not(t1)
| or(cin,and(carry,t5)) != or(cin,and(carry,t5))
| or(cin,and(carry,t5)) = or(cin,not(t1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,and(carry,t5)),or(cin,and(carry,t5))) ),[1,1],$fot(not(t1))]]) ).
cnf(refute_0_11760,plain,
( and(carry,t5) != not(t1)
| or(cin,and(carry,t5)) = or(cin,not(t1)) ),
inference(resolve,[$cnf( $equal(or(cin,and(carry,t5)),or(cin,and(carry,t5))) )],[refute_0_11758,refute_0_11759]) ).
cnf(refute_0_11761,plain,
or(cin,and(carry,t5)) = or(cin,not(t1)),
inference(resolve,[$cnf( $equal(and(carry,t5),not(t1)) )],[refute_0_8966,refute_0_11760]) ).
cnf(refute_0_11762,plain,
( or(cin,and(carry,t5)) != or(cin,not(t1))
| or(cin,not(t1)) != or(carry,cin)
| or(cin,and(carry,t5)) = or(carry,cin) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(cin,and(carry,t5)))),bind(Y0,$fot(or(cin,not(t1)))),bind(Z0,$fot(or(carry,cin)))]]) ).
cnf(refute_0_11763,plain,
( or(cin,not(t1)) != or(carry,cin)
| or(cin,and(carry,t5)) = or(carry,cin) ),
inference(resolve,[$cnf( $equal(or(cin,and(carry,t5)),or(cin,not(t1))) )],[refute_0_11761,refute_0_11762]) ).
cnf(refute_0_11764,plain,
or(cin,and(carry,t5)) = or(carry,cin),
inference(resolve,[$cnf( $equal(or(cin,not(t1)),or(carry,cin)) )],[refute_0_11757,refute_0_11763]) ).
cnf(refute_0_11765,plain,
xor(carry,or(cin,and(carry,t5))) = xor(carry,or(cin,and(carry,t5))),
introduced(tautology,[refl,[$fot(xor(carry,or(cin,and(carry,t5))))]]) ).
cnf(refute_0_11766,plain,
( or(cin,and(carry,t5)) != or(carry,cin)
| xor(carry,or(cin,and(carry,t5))) != xor(carry,or(cin,and(carry,t5)))
| xor(carry,or(cin,and(carry,t5))) = xor(carry,or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,or(cin,and(carry,t5))),xor(carry,or(cin,and(carry,t5)))) ),[1,1],$fot(or(carry,cin))]]) ).
cnf(refute_0_11767,plain,
( or(cin,and(carry,t5)) != or(carry,cin)
| xor(carry,or(cin,and(carry,t5))) = xor(carry,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(xor(carry,or(cin,and(carry,t5))),xor(carry,or(cin,and(carry,t5)))) )],[refute_0_11765,refute_0_11766]) ).
cnf(refute_0_11768,plain,
xor(carry,or(cin,and(carry,t5))) = xor(carry,or(carry,cin)),
inference(resolve,[$cnf( $equal(or(cin,and(carry,t5)),or(carry,cin)) )],[refute_0_11764,refute_0_11767]) ).
cnf(refute_0_11769,plain,
( xor(carry,or(cin,and(carry,t5))) != and(t1,xor(carry,or(cin,and(carry,t5))))
| xor(carry,or(cin,and(carry,t5))) != xor(carry,or(carry,cin))
| xor(carry,or(carry,cin)) = and(t1,xor(carry,or(cin,and(carry,t5)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,or(cin,and(carry,t5))),and(t1,xor(carry,or(cin,and(carry,t5))))) ),[0],$fot(xor(carry,or(carry,cin)))]]) ).
cnf(refute_0_11770,plain,
( xor(carry,or(cin,and(carry,t5))) != and(t1,xor(carry,or(cin,and(carry,t5))))
| xor(carry,or(carry,cin)) = and(t1,xor(carry,or(cin,and(carry,t5)))) ),
inference(resolve,[$cnf( $equal(xor(carry,or(cin,and(carry,t5))),xor(carry,or(carry,cin))) )],[refute_0_11768,refute_0_11769]) ).
cnf(refute_0_11771,plain,
and(t1,xor(carry,or(cin,and(carry,t5)))) = and(t1,xor(carry,or(cin,and(carry,t5)))),
introduced(tautology,[refl,[$fot(and(t1,xor(carry,or(cin,and(carry,t5)))))]]) ).
cnf(refute_0_11772,plain,
( and(t1,xor(carry,or(cin,and(carry,t5)))) != and(t1,xor(carry,or(cin,and(carry,t5))))
| xor(carry,or(cin,and(carry,t5))) != xor(carry,or(carry,cin))
| and(t1,xor(carry,or(cin,and(carry,t5)))) = and(t1,xor(carry,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,xor(carry,or(cin,and(carry,t5)))),and(t1,xor(carry,or(cin,and(carry,t5))))) ),[1,1],$fot(xor(carry,or(carry,cin)))]]) ).
cnf(refute_0_11773,plain,
( xor(carry,or(cin,and(carry,t5))) != xor(carry,or(carry,cin))
| and(t1,xor(carry,or(cin,and(carry,t5)))) = and(t1,xor(carry,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(t1,xor(carry,or(cin,and(carry,t5)))),and(t1,xor(carry,or(cin,and(carry,t5))))) )],[refute_0_11771,refute_0_11772]) ).
cnf(refute_0_11774,plain,
and(t1,xor(carry,or(cin,and(carry,t5)))) = and(t1,xor(carry,or(carry,cin))),
inference(resolve,[$cnf( $equal(xor(carry,or(cin,and(carry,t5))),xor(carry,or(carry,cin))) )],[refute_0_11768,refute_0_11773]) ).
cnf(refute_0_11775,plain,
( and(t1,xor(carry,or(cin,and(carry,t5)))) != and(t1,xor(carry,or(carry,cin)))
| xor(carry,or(carry,cin)) != and(t1,xor(carry,or(cin,and(carry,t5))))
| xor(carry,or(carry,cin)) = and(t1,xor(carry,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,or(carry,cin)),and(t1,xor(carry,or(cin,and(carry,t5))))) ),[1],$fot(and(t1,xor(carry,or(carry,cin))))]]) ).
cnf(refute_0_11776,plain,
( xor(carry,or(carry,cin)) != and(t1,xor(carry,or(cin,and(carry,t5))))
| xor(carry,or(carry,cin)) = and(t1,xor(carry,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(t1,xor(carry,or(cin,and(carry,t5)))),and(t1,xor(carry,or(carry,cin)))) )],[refute_0_11774,refute_0_11775]) ).
cnf(refute_0_11777,plain,
( xor(carry,or(cin,and(carry,t5))) != and(t1,xor(carry,or(cin,and(carry,t5))))
| xor(carry,or(carry,cin)) = and(t1,xor(carry,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(xor(carry,or(carry,cin)),and(t1,xor(carry,or(cin,and(carry,t5))))) )],[refute_0_11770,refute_0_11776]) ).
cnf(refute_0_11778,plain,
xor(carry,or(carry,cin)) = and(t1,xor(carry,or(carry,cin))),
inference(resolve,[$cnf( $equal(xor(carry,or(cin,and(carry,t5))),and(t1,xor(carry,or(cin,and(carry,t5))))) )],[refute_0_11735,refute_0_11777]) ).
cnf(refute_0_11779,plain,
( xor(carry,or(carry,cin)) != and(t1,xor(carry,or(carry,cin)))
| and(t1,xor(carry,or(carry,cin))) = xor(carry,or(carry,cin)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(carry,or(carry,cin)))),bind(Y0,$fot(and(t1,xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_11780,plain,
and(t1,xor(carry,or(carry,cin))) = xor(carry,or(carry,cin)),
inference(resolve,[$cnf( $equal(xor(carry,or(carry,cin)),and(t1,xor(carry,or(carry,cin)))) )],[refute_0_11778,refute_0_11779]) ).
cnf(refute_0_11781,plain,
( and(not(t5),xor(carry,or(carry,cin))) != and(carry,and(t1,xor(carry,or(carry,cin))))
| and(t1,xor(carry,or(carry,cin))) != xor(carry,or(carry,cin))
| and(not(t5),xor(carry,or(carry,cin))) = and(carry,xor(carry,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),xor(carry,or(carry,cin))),and(carry,and(t1,xor(carry,or(carry,cin))))) ),[1,1],$fot(xor(carry,or(carry,cin)))]]) ).
cnf(refute_0_11782,plain,
( and(not(t5),xor(carry,or(carry,cin))) != and(carry,and(t1,xor(carry,or(carry,cin))))
| and(not(t5),xor(carry,or(carry,cin))) = and(carry,xor(carry,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(t1,xor(carry,or(carry,cin))),xor(carry,or(carry,cin))) )],[refute_0_11780,refute_0_11781]) ).
cnf(refute_0_11783,plain,
and(not(t5),xor(carry,or(carry,cin))) = and(carry,xor(carry,or(carry,cin))),
inference(resolve,[$cnf( $equal(and(not(t5),xor(carry,or(carry,cin))),and(carry,and(t1,xor(carry,or(carry,cin))))) )],[refute_0_11701,refute_0_11782]) ).
cnf(refute_0_11784,plain,
ll0 = and(carry,and(not(carry),or(cin,and(carry,t5)))),
inference(subst,[],[refute_0_5426:[bind(X_220,$fot(carry)),bind(X_222,$fot(or(cin,and(carry,t5))))]]) ).
cnf(refute_0_11785,plain,
( and(not(carry),or(cin,and(carry,t5))) != xor(carry,or(cin,and(carry,t5)))
| ll0 != and(carry,and(not(carry),or(cin,and(carry,t5))))
| ll0 = and(carry,xor(carry,or(cin,and(carry,t5)))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(carry,and(not(carry),or(cin,and(carry,t5))))) ),[1,1],$fot(xor(carry,or(cin,and(carry,t5))))]]) ).
cnf(refute_0_11786,plain,
( ll0 != and(carry,and(not(carry),or(cin,and(carry,t5))))
| ll0 = and(carry,xor(carry,or(cin,and(carry,t5)))) ),
inference(resolve,[$cnf( $equal(and(not(carry),or(cin,and(carry,t5))),xor(carry,or(cin,and(carry,t5)))) )],[refute_0_11729,refute_0_11785]) ).
cnf(refute_0_11787,plain,
ll0 = and(carry,xor(carry,or(cin,and(carry,t5)))),
inference(resolve,[$cnf( $equal(ll0,and(carry,and(not(carry),or(cin,and(carry,t5))))) )],[refute_0_11784,refute_0_11786]) ).
cnf(refute_0_11788,plain,
and(carry,xor(carry,or(cin,and(carry,t5)))) = and(carry,xor(carry,or(cin,and(carry,t5)))),
introduced(tautology,[refl,[$fot(and(carry,xor(carry,or(cin,and(carry,t5)))))]]) ).
cnf(refute_0_11789,plain,
( and(carry,xor(carry,or(cin,and(carry,t5)))) != and(carry,xor(carry,or(cin,and(carry,t5))))
| xor(carry,or(cin,and(carry,t5))) != xor(carry,or(carry,cin))
| and(carry,xor(carry,or(cin,and(carry,t5)))) = and(carry,xor(carry,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,xor(carry,or(cin,and(carry,t5)))),and(carry,xor(carry,or(cin,and(carry,t5))))) ),[1,1],$fot(xor(carry,or(carry,cin)))]]) ).
cnf(refute_0_11790,plain,
( xor(carry,or(cin,and(carry,t5))) != xor(carry,or(carry,cin))
| and(carry,xor(carry,or(cin,and(carry,t5)))) = and(carry,xor(carry,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(carry,xor(carry,or(cin,and(carry,t5)))),and(carry,xor(carry,or(cin,and(carry,t5))))) )],[refute_0_11788,refute_0_11789]) ).
cnf(refute_0_11791,plain,
and(carry,xor(carry,or(cin,and(carry,t5)))) = and(carry,xor(carry,or(carry,cin))),
inference(resolve,[$cnf( $equal(xor(carry,or(cin,and(carry,t5))),xor(carry,or(carry,cin))) )],[refute_0_11768,refute_0_11790]) ).
cnf(refute_0_11792,plain,
( and(carry,xor(carry,or(cin,and(carry,t5)))) != and(carry,xor(carry,or(carry,cin)))
| ll0 != and(carry,xor(carry,or(cin,and(carry,t5))))
| ll0 = and(carry,xor(carry,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(carry,xor(carry,or(cin,and(carry,t5))))) ),[1],$fot(and(carry,xor(carry,or(carry,cin))))]]) ).
cnf(refute_0_11793,plain,
( ll0 != and(carry,xor(carry,or(cin,and(carry,t5))))
| ll0 = and(carry,xor(carry,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(carry,xor(carry,or(cin,and(carry,t5)))),and(carry,xor(carry,or(carry,cin)))) )],[refute_0_11791,refute_0_11792]) ).
cnf(refute_0_11794,plain,
ll0 = and(carry,xor(carry,or(carry,cin))),
inference(resolve,[$cnf( $equal(ll0,and(carry,xor(carry,or(cin,and(carry,t5))))) )],[refute_0_11787,refute_0_11793]) ).
cnf(refute_0_11795,plain,
( ll0 != and(carry,xor(carry,or(carry,cin)))
| and(carry,xor(carry,or(carry,cin))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(carry,xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_11796,plain,
and(carry,xor(carry,or(carry,cin))) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(carry,xor(carry,or(carry,cin)))) )],[refute_0_11794,refute_0_11795]) ).
cnf(refute_0_11797,plain,
( and(carry,xor(carry,or(carry,cin))) != ll0
| and(not(t5),xor(carry,or(carry,cin))) != and(carry,xor(carry,or(carry,cin)))
| and(not(t5),xor(carry,or(carry,cin))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),xor(carry,or(carry,cin))),and(carry,xor(carry,or(carry,cin)))) ),[1],$fot(ll0)]]) ).
cnf(refute_0_11798,plain,
( and(not(t5),xor(carry,or(carry,cin))) != and(carry,xor(carry,or(carry,cin)))
| and(not(t5),xor(carry,or(carry,cin))) = ll0 ),
inference(resolve,[$cnf( $equal(and(carry,xor(carry,or(carry,cin))),ll0) )],[refute_0_11796,refute_0_11797]) ).
cnf(refute_0_11799,plain,
and(not(t5),xor(carry,or(carry,cin))) = ll0,
inference(resolve,[$cnf( $equal(and(not(t5),xor(carry,or(carry,cin))),and(carry,xor(carry,or(carry,cin)))) )],[refute_0_11783,refute_0_11798]) ).
cnf(refute_0_11800,plain,
( and(not(t5),xor(carry,or(carry,cin))) != ll0
| or(and(t5,not(xor(carry,or(carry,cin)))),and(not(t5),xor(carry,or(carry,cin)))) != xor(t5,xor(carry,or(carry,cin)))
| or(and(t5,not(xor(carry,or(carry,cin)))),ll0) = xor(t5,xor(carry,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t5,not(xor(carry,or(carry,cin)))),and(not(t5),xor(carry,or(carry,cin)))),xor(t5,xor(carry,or(carry,cin)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_11801,plain,
( or(and(t5,not(xor(carry,or(carry,cin)))),and(not(t5),xor(carry,or(carry,cin)))) != xor(t5,xor(carry,or(carry,cin)))
| or(and(t5,not(xor(carry,or(carry,cin)))),ll0) = xor(t5,xor(carry,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(not(t5),xor(carry,or(carry,cin))),ll0) )],[refute_0_11799,refute_0_11800]) ).
cnf(refute_0_11802,plain,
or(and(t5,not(xor(carry,or(carry,cin)))),ll0) = xor(t5,xor(carry,or(carry,cin))),
inference(resolve,[$cnf( $equal(or(and(t5,not(xor(carry,or(carry,cin)))),and(not(t5),xor(carry,or(carry,cin)))),xor(t5,xor(carry,or(carry,cin)))) )],[refute_0_11653,refute_0_11801]) ).
cnf(refute_0_11803,plain,
or(and(t5,not(xor(carry,or(carry,cin)))),ll0) = and(t5,not(xor(carry,or(carry,cin)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t5,not(xor(carry,or(carry,cin))))))]]) ).
cnf(refute_0_11804,plain,
( or(and(t5,not(xor(carry,or(carry,cin)))),ll0) != and(t5,not(xor(carry,or(carry,cin))))
| or(and(t5,not(xor(carry,or(carry,cin)))),ll0) != xor(t5,xor(carry,or(carry,cin)))
| and(t5,not(xor(carry,or(carry,cin)))) = xor(t5,xor(carry,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t5,not(xor(carry,or(carry,cin)))),ll0),xor(t5,xor(carry,or(carry,cin)))) ),[0],$fot(and(t5,not(xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_11805,plain,
( or(and(t5,not(xor(carry,or(carry,cin)))),ll0) != xor(t5,xor(carry,or(carry,cin)))
| and(t5,not(xor(carry,or(carry,cin)))) = xor(t5,xor(carry,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(or(and(t5,not(xor(carry,or(carry,cin)))),ll0),and(t5,not(xor(carry,or(carry,cin))))) )],[refute_0_11803,refute_0_11804]) ).
cnf(refute_0_11806,plain,
xor(carry,xor(t5,or(carry,cin))) = xor(t1,or(carry,cin)),
inference(subst,[],[refute_0_8984:[bind(Z,$fot(or(carry,cin)))]]) ).
cnf(refute_0_11807,plain,
xor(t5,xor(carry,or(carry,cin))) = xor(carry,xor(t5,or(carry,cin))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(carry)),bind(X_334,$fot(t5)),bind(X_335,$fot(or(carry,cin)))]]) ).
cnf(refute_0_11808,plain,
( xor(carry,xor(t5,or(carry,cin))) != xor(t1,or(carry,cin))
| xor(t5,xor(carry,or(carry,cin))) != xor(carry,xor(t5,or(carry,cin)))
| xor(t5,xor(carry,or(carry,cin))) = xor(t1,or(carry,cin)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t5,xor(carry,or(carry,cin))))),bind(Y0,$fot(xor(carry,xor(t5,or(carry,cin))))),bind(Z0,$fot(xor(t1,or(carry,cin))))]]) ).
cnf(refute_0_11809,plain,
( xor(carry,xor(t5,or(carry,cin))) != xor(t1,or(carry,cin))
| xor(t5,xor(carry,or(carry,cin))) = xor(t1,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(carry,or(carry,cin))),xor(carry,xor(t5,or(carry,cin)))) )],[refute_0_11807,refute_0_11808]) ).
cnf(refute_0_11810,plain,
xor(t5,xor(carry,or(carry,cin))) = xor(t1,or(carry,cin)),
inference(resolve,[$cnf( $equal(xor(carry,xor(t5,or(carry,cin))),xor(t1,or(carry,cin))) )],[refute_0_11806,refute_0_11809]) ).
cnf(refute_0_11811,plain,
( and(t5,not(xor(carry,or(carry,cin)))) != xor(t5,xor(carry,or(carry,cin)))
| xor(t5,xor(carry,or(carry,cin))) != xor(t1,or(carry,cin))
| and(t5,not(xor(carry,or(carry,cin)))) = xor(t1,or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t5,not(xor(carry,or(carry,cin)))),xor(t1,or(carry,cin))) ),[0],$fot(xor(t5,xor(carry,or(carry,cin))))]]) ).
cnf(refute_0_11812,plain,
( and(t5,not(xor(carry,or(carry,cin)))) != xor(t5,xor(carry,or(carry,cin)))
| and(t5,not(xor(carry,or(carry,cin)))) = xor(t1,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(carry,or(carry,cin))),xor(t1,or(carry,cin))) )],[refute_0_11810,refute_0_11811]) ).
cnf(refute_0_11813,plain,
( or(and(t5,not(xor(carry,or(carry,cin)))),ll0) != xor(t5,xor(carry,or(carry,cin)))
| and(t5,not(xor(carry,or(carry,cin)))) = xor(t1,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(carry,or(carry,cin)))),xor(t5,xor(carry,or(carry,cin)))) )],[refute_0_11805,refute_0_11812]) ).
cnf(refute_0_11814,plain,
and(t5,not(xor(carry,or(carry,cin)))) = xor(t1,or(carry,cin)),
inference(resolve,[$cnf( $equal(or(and(t5,not(xor(carry,or(carry,cin)))),ll0),xor(t5,xor(carry,or(carry,cin)))) )],[refute_0_11802,refute_0_11813]) ).
cnf(refute_0_11815,plain,
not(not(and(t5,or(a,t7)))) = and(t5,or(a,t7)),
inference(subst,[],[not_involution:[bind(X,$fot(and(t5,or(a,t7))))]]) ).
cnf(refute_0_11816,plain,
or(and(t5,not(or(a,t7))),and(not(t5),or(a,t7))) = xor(t5,or(a,t7)),
inference(subst,[],[refute_0_9:[bind(X,$fot(t5)),bind(Y,$fot(or(a,t7)))]]) ).
cnf(refute_0_11817,plain,
and(and(t5,not(carry)),X_222) = and(t5,and(not(carry),X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(t5)),bind(Y,$fot(not(carry))),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_11818,plain,
and(not(carry),t5) = and(t5,not(carry)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t5)),bind(Y,$fot(not(carry)))]]) ).
cnf(refute_0_11819,plain,
( and(not(carry),t5) != and(t5,not(carry))
| and(not(carry),t5) != not(carry)
| and(t5,not(carry)) = not(carry) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),t5),not(carry)) ),[0],$fot(and(t5,not(carry)))]]) ).
cnf(refute_0_11820,plain,
( and(not(carry),t5) != not(carry)
| and(t5,not(carry)) = not(carry) ),
inference(resolve,[$cnf( $equal(and(not(carry),t5),and(t5,not(carry))) )],[refute_0_11818,refute_0_11819]) ).
cnf(refute_0_11821,plain,
and(t5,not(carry)) = not(carry),
inference(resolve,[$cnf( $equal(and(not(carry),t5),not(carry)) )],[refute_0_8002,refute_0_11820]) ).
cnf(refute_0_11822,plain,
( and(and(t5,not(carry)),X_222) != and(t5,and(not(carry),X_222))
| and(t5,not(carry)) != not(carry)
| and(not(carry),X_222) = and(t5,and(not(carry),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t5,not(carry)),X_222),and(t5,and(not(carry),X_222))) ),[0,0],$fot(not(carry))]]) ).
cnf(refute_0_11823,plain,
( and(and(t5,not(carry)),X_222) != and(t5,and(not(carry),X_222))
| and(not(carry),X_222) = and(t5,and(not(carry),X_222)) ),
inference(resolve,[$cnf( $equal(and(t5,not(carry)),not(carry)) )],[refute_0_11821,refute_0_11822]) ).
cnf(refute_0_11824,plain,
and(not(carry),X_222) = and(t5,and(not(carry),X_222)),
inference(resolve,[$cnf( $equal(and(and(t5,not(carry)),X_222),and(t5,and(not(carry),X_222))) )],[refute_0_11817,refute_0_11823]) ).
cnf(refute_0_11825,plain,
and(not(carry),X_255) = and(t5,and(not(carry),X_255)),
inference(subst,[],[refute_0_11824:[bind(X_222,$fot(X_255))]]) ).
cnf(refute_0_11826,plain,
and(X_255,not(carry)) = and(not(carry),X_255),
inference(subst,[],[and_commutative:[bind(X,$fot(X_255)),bind(Y,$fot(not(carry)))]]) ).
cnf(refute_0_11827,plain,
( and(X_255,not(carry)) != and(not(carry),X_255)
| and(not(carry),X_255) = and(X_255,not(carry)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X_255,not(carry)))),bind(Y0,$fot(and(not(carry),X_255)))]]) ).
cnf(refute_0_11828,plain,
and(not(carry),X_255) = and(X_255,not(carry)),
inference(resolve,[$cnf( $equal(and(X_255,not(carry)),and(not(carry),X_255)) )],[refute_0_11826,refute_0_11827]) ).
cnf(refute_0_11829,plain,
( and(not(carry),X_255) != and(X_255,not(carry))
| and(not(carry),X_255) != and(t5,and(not(carry),X_255))
| and(not(carry),X_255) = and(t5,and(X_255,not(carry))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),X_255),and(t5,and(not(carry),X_255))) ),[1,1],$fot(and(X_255,not(carry)))]]) ).
cnf(refute_0_11830,plain,
( and(not(carry),X_255) != and(t5,and(not(carry),X_255))
| and(not(carry),X_255) = and(t5,and(X_255,not(carry))) ),
inference(resolve,[$cnf( $equal(and(not(carry),X_255),and(X_255,not(carry))) )],[refute_0_11828,refute_0_11829]) ).
cnf(refute_0_11831,plain,
and(not(carry),X_255) = and(t5,and(X_255,not(carry))),
inference(resolve,[$cnf( $equal(and(not(carry),X_255),and(t5,and(not(carry),X_255))) )],[refute_0_11825,refute_0_11830]) ).
cnf(refute_0_11832,plain,
and(not(carry),cin) = and(t5,and(cin,not(carry))),
inference(subst,[],[refute_0_11831:[bind(X_255,$fot(cin))]]) ).
cnf(refute_0_11833,plain,
( and(cin,not(carry)) != not(or(a,t7))
| and(not(carry),cin) != and(t5,and(cin,not(carry)))
| and(not(carry),cin) = and(t5,not(or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),cin),and(t5,and(cin,not(carry)))) ),[1,1],$fot(not(or(a,t7)))]]) ).
cnf(refute_0_11834,plain,
( and(not(carry),cin) != and(t5,and(cin,not(carry)))
| and(not(carry),cin) = and(t5,not(or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(cin,not(carry)),not(or(a,t7))) )],[refute_0_4166,refute_0_11833]) ).
cnf(refute_0_11835,plain,
and(not(carry),cin) = and(t5,not(or(a,t7))),
inference(resolve,[$cnf( $equal(and(not(carry),cin),and(t5,and(cin,not(carry)))) )],[refute_0_11832,refute_0_11834]) ).
cnf(refute_0_11836,plain,
( and(cin,not(carry)) != not(or(a,t7))
| and(not(carry),cin) != and(cin,not(carry))
| and(not(carry),cin) = not(or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(carry),cin))),bind(Y0,$fot(and(cin,not(carry)))),bind(Z0,$fot(not(or(a,t7))))]]) ).
cnf(refute_0_11837,plain,
( and(cin,not(carry)) != not(or(a,t7))
| and(not(carry),cin) = not(or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(not(carry),cin),and(cin,not(carry))) )],[refute_0_204,refute_0_11836]) ).
cnf(refute_0_11838,plain,
and(not(carry),cin) = not(or(a,t7)),
inference(resolve,[$cnf( $equal(and(cin,not(carry)),not(or(a,t7))) )],[refute_0_4166,refute_0_11837]) ).
cnf(refute_0_11839,plain,
( and(not(carry),cin) != and(t5,not(or(a,t7)))
| and(not(carry),cin) != not(or(a,t7))
| not(or(a,t7)) = and(t5,not(or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),cin),and(t5,not(or(a,t7)))) ),[0],$fot(not(or(a,t7)))]]) ).
cnf(refute_0_11840,plain,
( and(not(carry),cin) != and(t5,not(or(a,t7)))
| not(or(a,t7)) = and(t5,not(or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(not(carry),cin),not(or(a,t7))) )],[refute_0_11838,refute_0_11839]) ).
cnf(refute_0_11841,plain,
not(or(a,t7)) = and(t5,not(or(a,t7))),
inference(resolve,[$cnf( $equal(and(not(carry),cin),and(t5,not(or(a,t7)))) )],[refute_0_11835,refute_0_11840]) ).
cnf(refute_0_11842,plain,
( not(or(a,t7)) != and(t5,not(or(a,t7)))
| and(t5,not(or(a,t7))) = not(or(a,t7)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(a,t7)))),bind(Y0,$fot(and(t5,not(or(a,t7)))))]]) ).
cnf(refute_0_11843,plain,
and(t5,not(or(a,t7))) = not(or(a,t7)),
inference(resolve,[$cnf( $equal(not(or(a,t7)),and(t5,not(or(a,t7)))) )],[refute_0_11841,refute_0_11842]) ).
cnf(refute_0_11844,plain,
( and(t5,not(or(a,t7))) != not(or(a,t7))
| or(and(t5,not(or(a,t7))),and(not(t5),or(a,t7))) != xor(t5,or(a,t7))
| or(not(or(a,t7)),and(not(t5),or(a,t7))) = xor(t5,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t5,not(or(a,t7))),and(not(t5),or(a,t7))),xor(t5,or(a,t7))) ),[0,0],$fot(not(or(a,t7)))]]) ).
cnf(refute_0_11845,plain,
( or(and(t5,not(or(a,t7))),and(not(t5),or(a,t7))) != xor(t5,or(a,t7))
| or(not(or(a,t7)),and(not(t5),or(a,t7))) = xor(t5,or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(t5,not(or(a,t7))),not(or(a,t7))) )],[refute_0_11843,refute_0_11844]) ).
cnf(refute_0_11846,plain,
or(not(or(a,t7)),and(not(t5),or(a,t7))) = xor(t5,or(a,t7)),
inference(resolve,[$cnf( $equal(or(and(t5,not(or(a,t7))),and(not(t5),or(a,t7))),xor(t5,or(a,t7))) )],[refute_0_11816,refute_0_11845]) ).
cnf(refute_0_11847,plain,
and(or(a,t7),t5) = and(t5,or(a,t7)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t5)),bind(Y,$fot(or(a,t7)))]]) ).
cnf(refute_0_11848,plain,
and(or(a,t7),or(t5,not(or(a,t7)))) = and(or(a,t7),or(t5,not(or(a,t7)))),
introduced(tautology,[refl,[$fot(and(or(a,t7),or(t5,not(or(a,t7)))))]]) ).
cnf(refute_0_11849,plain,
( and(or(a,t7),or(t5,not(or(a,t7)))) != and(or(a,t7),or(t5,not(or(a,t7))))
| or(t5,not(or(a,t7))) != t5
| and(or(a,t7),or(t5,not(or(a,t7)))) = and(or(a,t7),t5) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(a,t7),or(t5,not(or(a,t7)))),and(or(a,t7),or(t5,not(or(a,t7))))) ),[1,1],$fot(t5)]]) ).
cnf(refute_0_11850,plain,
( or(t5,not(or(a,t7))) != t5
| and(or(a,t7),or(t5,not(or(a,t7)))) = and(or(a,t7),t5) ),
inference(resolve,[$cnf( $equal(and(or(a,t7),or(t5,not(or(a,t7)))),and(or(a,t7),or(t5,not(or(a,t7))))) )],[refute_0_11848,refute_0_11849]) ).
cnf(refute_0_11851,plain,
and(or(a,t7),or(t5,not(or(a,t7)))) = and(or(a,t7),t5),
inference(resolve,[$cnf( $equal(or(t5,not(or(a,t7))),t5) )],[refute_0_7490,refute_0_11850]) ).
cnf(refute_0_11852,plain,
( and(or(a,t7),or(t5,not(or(a,t7)))) != and(or(a,t7),t5)
| and(or(a,t7),t5) != and(t5,or(a,t7))
| and(or(a,t7),or(t5,not(or(a,t7)))) = and(t5,or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(or(a,t7),or(t5,not(or(a,t7)))))),bind(Y0,$fot(and(or(a,t7),t5))),bind(Z0,$fot(and(t5,or(a,t7))))]]) ).
cnf(refute_0_11853,plain,
( and(or(a,t7),t5) != and(t5,or(a,t7))
| and(or(a,t7),or(t5,not(or(a,t7)))) = and(t5,or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(or(a,t7),or(t5,not(or(a,t7)))),and(or(a,t7),t5)) )],[refute_0_11851,refute_0_11852]) ).
cnf(refute_0_11854,plain,
and(or(a,t7),or(t5,not(or(a,t7)))) = and(t5,or(a,t7)),
inference(resolve,[$cnf( $equal(and(or(a,t7),t5),and(t5,or(a,t7))) )],[refute_0_11847,refute_0_11853]) ).
cnf(refute_0_11855,plain,
not(and(or(a,t7),or(t5,not(or(a,t7))))) = not(and(or(a,t7),or(t5,not(or(a,t7))))),
introduced(tautology,[refl,[$fot(not(and(or(a,t7),or(t5,not(or(a,t7))))))]]) ).
cnf(refute_0_11856,plain,
( and(or(a,t7),or(t5,not(or(a,t7)))) != and(t5,or(a,t7))
| not(and(or(a,t7),or(t5,not(or(a,t7))))) != not(and(or(a,t7),or(t5,not(or(a,t7)))))
| not(and(or(a,t7),or(t5,not(or(a,t7))))) = not(and(t5,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(a,t7),or(t5,not(or(a,t7))))),not(and(or(a,t7),or(t5,not(or(a,t7)))))) ),[1,0],$fot(and(t5,or(a,t7)))]]) ).
cnf(refute_0_11857,plain,
( and(or(a,t7),or(t5,not(or(a,t7)))) != and(t5,or(a,t7))
| not(and(or(a,t7),or(t5,not(or(a,t7))))) = not(and(t5,or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(and(or(a,t7),or(t5,not(or(a,t7))))),not(and(or(a,t7),or(t5,not(or(a,t7)))))) )],[refute_0_11855,refute_0_11856]) ).
cnf(refute_0_11858,plain,
not(and(or(a,t7),or(t5,not(or(a,t7))))) = not(and(t5,or(a,t7))),
inference(resolve,[$cnf( $equal(and(or(a,t7),or(t5,not(or(a,t7)))),and(t5,or(a,t7))) )],[refute_0_11854,refute_0_11857]) ).
cnf(refute_0_11859,plain,
or(not(or(a,t7)),and(not(t5),or(a,t7))) = not(and(or(a,t7),or(t5,not(or(a,t7))))),
inference(subst,[],[refute_0_1337:[bind(X,$fot(or(a,t7))),bind(X_78,$fot(or(a,t7))),bind(X_79,$fot(t5))]]) ).
cnf(refute_0_11860,plain,
( not(and(or(a,t7),or(t5,not(or(a,t7))))) != not(and(t5,or(a,t7)))
| or(not(or(a,t7)),and(not(t5),or(a,t7))) != not(and(or(a,t7),or(t5,not(or(a,t7)))))
| or(not(or(a,t7)),and(not(t5),or(a,t7))) = not(and(t5,or(a,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(or(a,t7)),and(not(t5),or(a,t7))))),bind(Y0,$fot(not(and(or(a,t7),or(t5,not(or(a,t7))))))),bind(Z0,$fot(not(and(t5,or(a,t7)))))]]) ).
cnf(refute_0_11861,plain,
( not(and(or(a,t7),or(t5,not(or(a,t7))))) != not(and(t5,or(a,t7)))
| or(not(or(a,t7)),and(not(t5),or(a,t7))) = not(and(t5,or(a,t7))) ),
inference(resolve,[$cnf( $equal(or(not(or(a,t7)),and(not(t5),or(a,t7))),not(and(or(a,t7),or(t5,not(or(a,t7)))))) )],[refute_0_11859,refute_0_11860]) ).
cnf(refute_0_11862,plain,
or(not(or(a,t7)),and(not(t5),or(a,t7))) = not(and(t5,or(a,t7))),
inference(resolve,[$cnf( $equal(not(and(or(a,t7),or(t5,not(or(a,t7))))),not(and(t5,or(a,t7)))) )],[refute_0_11858,refute_0_11861]) ).
cnf(refute_0_11863,plain,
( or(not(or(a,t7)),and(not(t5),or(a,t7))) != not(and(t5,or(a,t7)))
| or(not(or(a,t7)),and(not(t5),or(a,t7))) != xor(t5,or(a,t7))
| not(and(t5,or(a,t7))) = xor(t5,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(or(a,t7)),and(not(t5),or(a,t7))),xor(t5,or(a,t7))) ),[0],$fot(not(and(t5,or(a,t7))))]]) ).
cnf(refute_0_11864,plain,
( or(not(or(a,t7)),and(not(t5),or(a,t7))) != xor(t5,or(a,t7))
| not(and(t5,or(a,t7))) = xor(t5,or(a,t7)) ),
inference(resolve,[$cnf( $equal(or(not(or(a,t7)),and(not(t5),or(a,t7))),not(and(t5,or(a,t7)))) )],[refute_0_11862,refute_0_11863]) ).
cnf(refute_0_11865,plain,
not(and(t5,or(a,t7))) = xor(t5,or(a,t7)),
inference(resolve,[$cnf( $equal(or(not(or(a,t7)),and(not(t5),or(a,t7))),xor(t5,or(a,t7))) )],[refute_0_11846,refute_0_11864]) ).
cnf(refute_0_11866,plain,
( not(and(t5,or(a,t7))) != xor(t5,or(a,t7))
| not(not(and(t5,or(a,t7)))) != and(t5,or(a,t7))
| not(xor(t5,or(a,t7))) = and(t5,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(t5,or(a,t7)))),and(t5,or(a,t7))) ),[0,0],$fot(xor(t5,or(a,t7)))]]) ).
cnf(refute_0_11867,plain,
( not(not(and(t5,or(a,t7)))) != and(t5,or(a,t7))
| not(xor(t5,or(a,t7))) = and(t5,or(a,t7)) ),
inference(resolve,[$cnf( $equal(not(and(t5,or(a,t7))),xor(t5,or(a,t7))) )],[refute_0_11865,refute_0_11866]) ).
cnf(refute_0_11868,plain,
not(xor(t5,or(a,t7))) = and(t5,or(a,t7)),
inference(resolve,[$cnf( $equal(not(not(and(t5,or(a,t7)))),and(t5,or(a,t7))) )],[refute_0_11815,refute_0_11867]) ).
cnf(refute_0_11869,plain,
xor(sum,xor(t5,and(t6,or(t1,t7)))) = xor(cin,xor(t6,and(t6,or(t1,t7)))),
inference(subst,[],[refute_0_11430:[bind(Z,$fot(and(t6,or(t1,t7))))]]) ).
cnf(refute_0_11870,plain,
xor(cin,xor(t7,Z)) = xor(xor(cin,t7),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(cin)),bind(Y,$fot(t7))]]) ).
cnf(refute_0_11871,plain,
( xor(cin,t7) != t5
| xor(cin,xor(t7,Z)) != xor(xor(cin,t7),Z)
| xor(cin,xor(t7,Z)) = xor(t5,Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t7,Z)),xor(xor(cin,t7),Z)) ),[1,0],$fot(t5)]]) ).
cnf(refute_0_11872,plain,
( xor(cin,xor(t7,Z)) != xor(xor(cin,t7),Z)
| xor(cin,xor(t7,Z)) = xor(t5,Z) ),
inference(resolve,[$cnf( $equal(xor(cin,t7),t5) )],[refute_0_4102,refute_0_11871]) ).
cnf(refute_0_11873,plain,
xor(cin,xor(t7,Z)) = xor(t5,Z),
inference(resolve,[$cnf( $equal(xor(cin,xor(t7,Z)),xor(xor(cin,t7),Z)) )],[refute_0_11870,refute_0_11872]) ).
cnf(refute_0_11874,plain,
xor(cin,xor(t7,and(t6,or(t1,t7)))) = xor(t5,and(t6,or(t1,t7))),
inference(subst,[],[refute_0_11873:[bind(Z,$fot(and(t6,or(t1,t7))))]]) ).
cnf(refute_0_11875,plain,
xor(sum,xor(t6,and(t6,or(t7,not(carry))))) = xor(t7,and(t6,or(t7,not(carry)))),
inference(subst,[],[refute_0_5410:[bind(Z,$fot(and(t6,or(t7,not(carry)))))]]) ).
cnf(refute_0_11876,plain,
( xor(sum,xor(t6,and(t6,or(t7,not(carry))))) != xor(t7,and(t6,or(t7,not(carry))))
| xor(t6,and(t6,or(t7,not(carry)))) != and(carry,not(t7))
| xor(sum,and(carry,not(t7))) = xor(t7,and(t6,or(t7,not(carry)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,xor(t6,and(t6,or(t7,not(carry))))),xor(t7,and(t6,or(t7,not(carry))))) ),[0,1],$fot(and(carry,not(t7)))]]) ).
cnf(refute_0_11877,plain,
( xor(sum,xor(t6,and(t6,or(t7,not(carry))))) != xor(t7,and(t6,or(t7,not(carry))))
| xor(sum,and(carry,not(t7))) = xor(t7,and(t6,or(t7,not(carry)))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(t6,or(t7,not(carry)))),and(carry,not(t7))) )],[refute_0_8135,refute_0_11876]) ).
cnf(refute_0_11878,plain,
xor(sum,and(carry,not(t7))) = xor(t7,and(t6,or(t7,not(carry)))),
inference(resolve,[$cnf( $equal(xor(sum,xor(t6,and(t6,or(t7,not(carry))))),xor(t7,and(t6,or(t7,not(carry))))) )],[refute_0_11875,refute_0_11877]) ).
cnf(refute_0_11879,plain,
not(xor(sum,or(t1,t7))) = not(xor(sum,or(t1,t7))),
introduced(tautology,[refl,[$fot(not(xor(sum,or(t1,t7))))]]) ).
cnf(refute_0_11880,plain,
( not(xor(sum,or(t1,t7))) != not(xor(sum,or(t1,t7)))
| xor(sum,or(t1,t7)) != not(and(sum,t1))
| not(xor(sum,or(t1,t7))) = not(not(and(sum,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(sum,or(t1,t7))),not(xor(sum,or(t1,t7)))) ),[1,0],$fot(not(and(sum,t1)))]]) ).
cnf(refute_0_11881,plain,
( xor(sum,or(t1,t7)) != not(and(sum,t1))
| not(xor(sum,or(t1,t7))) = not(not(and(sum,t1))) ),
inference(resolve,[$cnf( $equal(not(xor(sum,or(t1,t7))),not(xor(sum,or(t1,t7)))) )],[refute_0_11879,refute_0_11880]) ).
cnf(refute_0_11882,plain,
not(xor(sum,or(t1,t7))) = not(not(and(sum,t1))),
inference(resolve,[$cnf( $equal(xor(sum,or(t1,t7)),not(and(sum,t1))) )],[refute_0_11004,refute_0_11881]) ).
cnf(refute_0_11883,plain,
( not(not(and(sum,t1))) != and(sum,t1)
| not(xor(sum,or(t1,t7))) != not(not(and(sum,t1)))
| not(xor(sum,or(t1,t7))) = and(sum,t1) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(sum,or(t1,t7))))),bind(Y0,$fot(not(not(and(sum,t1))))),bind(Z0,$fot(and(sum,t1)))]]) ).
cnf(refute_0_11884,plain,
( not(not(and(sum,t1))) != and(sum,t1)
| not(xor(sum,or(t1,t7))) = and(sum,t1) ),
inference(resolve,[$cnf( $equal(not(xor(sum,or(t1,t7))),not(not(and(sum,t1)))) )],[refute_0_11882,refute_0_11883]) ).
cnf(refute_0_11885,plain,
not(xor(sum,or(t1,t7))) = and(sum,t1),
inference(resolve,[$cnf( $equal(not(not(and(sum,t1))),and(sum,t1)) )],[refute_0_8491,refute_0_11884]) ).
cnf(refute_0_11886,plain,
xor(sum,not(or(t1,t7))) = not(xor(sum,or(t1,t7))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(sum)),bind(X_334,$fot(or(t1,t7)))]]) ).
cnf(refute_0_11887,plain,
( not(xor(sum,or(t1,t7))) != and(sum,t1)
| xor(sum,not(or(t1,t7))) != not(xor(sum,or(t1,t7)))
| xor(sum,not(or(t1,t7))) = and(sum,t1) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(sum,not(or(t1,t7))))),bind(Y0,$fot(not(xor(sum,or(t1,t7))))),bind(Z0,$fot(and(sum,t1)))]]) ).
cnf(refute_0_11888,plain,
( not(xor(sum,or(t1,t7))) != and(sum,t1)
| xor(sum,not(or(t1,t7))) = and(sum,t1) ),
inference(resolve,[$cnf( $equal(xor(sum,not(or(t1,t7))),not(xor(sum,or(t1,t7)))) )],[refute_0_11886,refute_0_11887]) ).
cnf(refute_0_11889,plain,
xor(sum,not(or(t1,t7))) = and(sum,t1),
inference(resolve,[$cnf( $equal(not(xor(sum,or(t1,t7))),and(sum,t1)) )],[refute_0_11885,refute_0_11888]) ).
cnf(refute_0_11890,plain,
xor(sum,and(carry,not(t7))) = xor(sum,and(carry,not(t7))),
introduced(tautology,[refl,[$fot(xor(sum,and(carry,not(t7))))]]) ).
cnf(refute_0_11891,plain,
( and(carry,not(t7)) != not(or(t1,t7))
| xor(sum,and(carry,not(t7))) != xor(sum,and(carry,not(t7)))
| xor(sum,and(carry,not(t7))) = xor(sum,not(or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,and(carry,not(t7))),xor(sum,and(carry,not(t7)))) ),[1,1],$fot(not(or(t1,t7)))]]) ).
cnf(refute_0_11892,plain,
( and(carry,not(t7)) != not(or(t1,t7))
| xor(sum,and(carry,not(t7))) = xor(sum,not(or(t1,t7))) ),
inference(resolve,[$cnf( $equal(xor(sum,and(carry,not(t7))),xor(sum,and(carry,not(t7)))) )],[refute_0_11890,refute_0_11891]) ).
cnf(refute_0_11893,plain,
xor(sum,and(carry,not(t7))) = xor(sum,not(or(t1,t7))),
inference(resolve,[$cnf( $equal(and(carry,not(t7)),not(or(t1,t7))) )],[refute_0_10975,refute_0_11892]) ).
cnf(refute_0_11894,plain,
( xor(sum,and(carry,not(t7))) != xor(sum,not(or(t1,t7)))
| xor(sum,not(or(t1,t7))) != and(sum,t1)
| xor(sum,and(carry,not(t7))) = and(sum,t1) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(sum,and(carry,not(t7))))),bind(Y0,$fot(xor(sum,not(or(t1,t7))))),bind(Z0,$fot(and(sum,t1)))]]) ).
cnf(refute_0_11895,plain,
( xor(sum,not(or(t1,t7))) != and(sum,t1)
| xor(sum,and(carry,not(t7))) = and(sum,t1) ),
inference(resolve,[$cnf( $equal(xor(sum,and(carry,not(t7))),xor(sum,not(or(t1,t7)))) )],[refute_0_11893,refute_0_11894]) ).
cnf(refute_0_11896,plain,
xor(sum,and(carry,not(t7))) = and(sum,t1),
inference(resolve,[$cnf( $equal(xor(sum,not(or(t1,t7))),and(sum,t1)) )],[refute_0_11889,refute_0_11895]) ).
cnf(refute_0_11897,plain,
( xor(sum,and(carry,not(t7))) != and(sum,t1)
| xor(sum,and(carry,not(t7))) != xor(t7,and(t6,or(t7,not(carry))))
| and(sum,t1) = xor(t7,and(t6,or(t7,not(carry)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,and(carry,not(t7))),xor(t7,and(t6,or(t7,not(carry))))) ),[0],$fot(and(sum,t1))]]) ).
cnf(refute_0_11898,plain,
( xor(sum,and(carry,not(t7))) != xor(t7,and(t6,or(t7,not(carry))))
| and(sum,t1) = xor(t7,and(t6,or(t7,not(carry)))) ),
inference(resolve,[$cnf( $equal(xor(sum,and(carry,not(t7))),and(sum,t1)) )],[refute_0_11896,refute_0_11897]) ).
cnf(refute_0_11899,plain,
or(and(t7,not(xor(t7,or(t1,and(t3,t7))))),and(not(t7),xor(t7,or(t1,and(t3,t7))))) = xor(t7,xor(t7,or(t1,and(t3,t7)))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t7)),bind(Y,$fot(xor(t7,or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_11900,plain,
not(or(xor(t7,or(t1,and(t3,t7))),not(t7))) = not(or(not(t7),xor(t7,or(t1,and(t3,t7))))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(not(t7))),bind(X_26,$fot(xor(t7,or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_11901,plain,
( not(or(xor(t7,or(t1,and(t3,t7))),not(t7))) != not(or(not(t7),xor(t7,or(t1,and(t3,t7)))))
| or(not(t7),xor(t7,or(t1,and(t3,t7)))) != not(t7)
| not(or(xor(t7,or(t1,and(t3,t7))),not(t7))) = not(not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(t7,or(t1,and(t3,t7))),not(t7))),not(or(not(t7),xor(t7,or(t1,and(t3,t7)))))) ),[1,0],$fot(not(t7))]]) ).
cnf(refute_0_11902,plain,
( not(or(xor(t7,or(t1,and(t3,t7))),not(t7))) != not(or(not(t7),xor(t7,or(t1,and(t3,t7)))))
| not(or(xor(t7,or(t1,and(t3,t7))),not(t7))) = not(not(t7)) ),
inference(resolve,[$cnf( $equal(or(not(t7),xor(t7,or(t1,and(t3,t7)))),not(t7)) )],[refute_0_11070,refute_0_11901]) ).
cnf(refute_0_11903,plain,
not(or(xor(t7,or(t1,and(t3,t7))),not(t7))) = not(not(t7)),
inference(resolve,[$cnf( $equal(not(or(xor(t7,or(t1,and(t3,t7))),not(t7))),not(or(not(t7),xor(t7,or(t1,and(t3,t7)))))) )],[refute_0_11900,refute_0_11902]) ).
cnf(refute_0_11904,plain,
and(not(xor(t7,or(t1,and(t3,t7)))),t7) = and(t7,not(xor(t7,or(t1,and(t3,t7))))),
inference(subst,[],[refute_0_116:[bind(X,$fot(t7)),bind(Y,$fot(not(xor(t7,or(t1,and(t3,t7))))))]]) ).
cnf(refute_0_11905,plain,
not(or(xor(t7,or(t1,and(t3,t7))),not(t7))) = and(not(xor(t7,or(t1,and(t3,t7)))),t7),
inference(subst,[],[refute_0_801:[bind(X,$fot(t7)),bind(X_25,$fot(xor(t7,or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_11906,plain,
( and(not(xor(t7,or(t1,and(t3,t7)))),t7) != and(t7,not(xor(t7,or(t1,and(t3,t7)))))
| not(or(xor(t7,or(t1,and(t3,t7))),not(t7))) != and(not(xor(t7,or(t1,and(t3,t7)))),t7)
| not(or(xor(t7,or(t1,and(t3,t7))),not(t7))) = and(t7,not(xor(t7,or(t1,and(t3,t7))))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(xor(t7,or(t1,and(t3,t7))),not(t7))))),bind(Y0,$fot(and(not(xor(t7,or(t1,and(t3,t7)))),t7))),bind(Z0,$fot(and(t7,not(xor(t7,or(t1,and(t3,t7)))))))]]) ).
cnf(refute_0_11907,plain,
( and(not(xor(t7,or(t1,and(t3,t7)))),t7) != and(t7,not(xor(t7,or(t1,and(t3,t7)))))
| not(or(xor(t7,or(t1,and(t3,t7))),not(t7))) = and(t7,not(xor(t7,or(t1,and(t3,t7))))) ),
inference(resolve,[$cnf( $equal(not(or(xor(t7,or(t1,and(t3,t7))),not(t7))),and(not(xor(t7,or(t1,and(t3,t7)))),t7)) )],[refute_0_11905,refute_0_11906]) ).
cnf(refute_0_11908,plain,
not(or(xor(t7,or(t1,and(t3,t7))),not(t7))) = and(t7,not(xor(t7,or(t1,and(t3,t7))))),
inference(resolve,[$cnf( $equal(and(not(xor(t7,or(t1,and(t3,t7)))),t7),and(t7,not(xor(t7,or(t1,and(t3,t7)))))) )],[refute_0_11904,refute_0_11907]) ).
cnf(refute_0_11909,plain,
( not(or(xor(t7,or(t1,and(t3,t7))),not(t7))) != and(t7,not(xor(t7,or(t1,and(t3,t7)))))
| not(or(xor(t7,or(t1,and(t3,t7))),not(t7))) != not(not(t7))
| and(t7,not(xor(t7,or(t1,and(t3,t7))))) = not(not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(t7,or(t1,and(t3,t7))),not(t7))),not(not(t7))) ),[0],$fot(and(t7,not(xor(t7,or(t1,and(t3,t7))))))]]) ).
cnf(refute_0_11910,plain,
( not(or(xor(t7,or(t1,and(t3,t7))),not(t7))) != not(not(t7))
| and(t7,not(xor(t7,or(t1,and(t3,t7))))) = not(not(t7)) ),
inference(resolve,[$cnf( $equal(not(or(xor(t7,or(t1,and(t3,t7))),not(t7))),and(t7,not(xor(t7,or(t1,and(t3,t7)))))) )],[refute_0_11908,refute_0_11909]) ).
cnf(refute_0_11911,plain,
( and(t7,not(xor(t7,or(t1,and(t3,t7))))) != not(not(t7))
| not(not(t7)) != t7
| and(t7,not(xor(t7,or(t1,and(t3,t7))))) = t7 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t7,not(xor(t7,or(t1,and(t3,t7))))),t7) ),[0],$fot(not(not(t7)))]]) ).
cnf(refute_0_11912,plain,
( and(t7,not(xor(t7,or(t1,and(t3,t7))))) != not(not(t7))
| and(t7,not(xor(t7,or(t1,and(t3,t7))))) = t7 ),
inference(resolve,[$cnf( $equal(not(not(t7)),t7) )],[refute_0_1105,refute_0_11911]) ).
cnf(refute_0_11913,plain,
( not(or(xor(t7,or(t1,and(t3,t7))),not(t7))) != not(not(t7))
| and(t7,not(xor(t7,or(t1,and(t3,t7))))) = t7 ),
inference(resolve,[$cnf( $equal(and(t7,not(xor(t7,or(t1,and(t3,t7))))),not(not(t7))) )],[refute_0_11910,refute_0_11912]) ).
cnf(refute_0_11914,plain,
and(t7,not(xor(t7,or(t1,and(t3,t7))))) = t7,
inference(resolve,[$cnf( $equal(not(or(xor(t7,or(t1,and(t3,t7))),not(t7))),not(not(t7))) )],[refute_0_11903,refute_0_11913]) ).
cnf(refute_0_11915,plain,
( and(t7,not(xor(t7,or(t1,and(t3,t7))))) != t7
| or(and(t7,not(xor(t7,or(t1,and(t3,t7))))),and(not(t7),xor(t7,or(t1,and(t3,t7))))) != xor(t7,xor(t7,or(t1,and(t3,t7))))
| or(t7,and(not(t7),xor(t7,or(t1,and(t3,t7))))) = xor(t7,xor(t7,or(t1,and(t3,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t7,not(xor(t7,or(t1,and(t3,t7))))),and(not(t7),xor(t7,or(t1,and(t3,t7))))),xor(t7,xor(t7,or(t1,and(t3,t7))))) ),[0,0],$fot(t7)]]) ).
cnf(refute_0_11916,plain,
( or(and(t7,not(xor(t7,or(t1,and(t3,t7))))),and(not(t7),xor(t7,or(t1,and(t3,t7))))) != xor(t7,xor(t7,or(t1,and(t3,t7))))
| or(t7,and(not(t7),xor(t7,or(t1,and(t3,t7))))) = xor(t7,xor(t7,or(t1,and(t3,t7)))) ),
inference(resolve,[$cnf( $equal(and(t7,not(xor(t7,or(t1,and(t3,t7))))),t7) )],[refute_0_11914,refute_0_11915]) ).
cnf(refute_0_11917,plain,
or(t7,and(not(t7),xor(t7,or(t1,and(t3,t7))))) = xor(t7,xor(t7,or(t1,and(t3,t7)))),
inference(resolve,[$cnf( $equal(or(and(t7,not(xor(t7,or(t1,and(t3,t7))))),and(not(t7),xor(t7,or(t1,and(t3,t7))))),xor(t7,xor(t7,or(t1,and(t3,t7))))) )],[refute_0_11899,refute_0_11916]) ).
cnf(refute_0_11918,plain,
or(t7,and(not(t7),xor(t7,or(t1,and(t3,t7))))) = or(t7,and(not(t7),xor(t7,or(t1,and(t3,t7))))),
introduced(tautology,[refl,[$fot(or(t7,and(not(t7),xor(t7,or(t1,and(t3,t7))))))]]) ).
cnf(refute_0_11919,plain,
( and(not(t7),xor(t7,or(t1,and(t3,t7)))) != xor(t7,or(t1,and(t3,t7)))
| or(t7,and(not(t7),xor(t7,or(t1,and(t3,t7))))) != or(t7,and(not(t7),xor(t7,or(t1,and(t3,t7)))))
| or(t7,and(not(t7),xor(t7,or(t1,and(t3,t7))))) = or(t7,xor(t7,or(t1,and(t3,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,and(not(t7),xor(t7,or(t1,and(t3,t7))))),or(t7,and(not(t7),xor(t7,or(t1,and(t3,t7)))))) ),[1,1],$fot(xor(t7,or(t1,and(t3,t7))))]]) ).
cnf(refute_0_11920,plain,
( and(not(t7),xor(t7,or(t1,and(t3,t7)))) != xor(t7,or(t1,and(t3,t7)))
| or(t7,and(not(t7),xor(t7,or(t1,and(t3,t7))))) = or(t7,xor(t7,or(t1,and(t3,t7)))) ),
inference(resolve,[$cnf( $equal(or(t7,and(not(t7),xor(t7,or(t1,and(t3,t7))))),or(t7,and(not(t7),xor(t7,or(t1,and(t3,t7)))))) )],[refute_0_11918,refute_0_11919]) ).
cnf(refute_0_11921,plain,
or(t7,and(not(t7),xor(t7,or(t1,and(t3,t7))))) = or(t7,xor(t7,or(t1,and(t3,t7)))),
inference(resolve,[$cnf( $equal(and(not(t7),xor(t7,or(t1,and(t3,t7)))),xor(t7,or(t1,and(t3,t7)))) )],[refute_0_11077,refute_0_11920]) ).
cnf(refute_0_11922,plain,
( or(t7,and(not(t7),xor(t7,or(t1,and(t3,t7))))) != or(t7,xor(t7,or(t1,and(t3,t7))))
| or(t7,and(not(t7),xor(t7,or(t1,and(t3,t7))))) != xor(t7,xor(t7,or(t1,and(t3,t7))))
| or(t7,xor(t7,or(t1,and(t3,t7)))) = xor(t7,xor(t7,or(t1,and(t3,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,and(not(t7),xor(t7,or(t1,and(t3,t7))))),xor(t7,xor(t7,or(t1,and(t3,t7))))) ),[0],$fot(or(t7,xor(t7,or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_11923,plain,
( or(t7,and(not(t7),xor(t7,or(t1,and(t3,t7))))) != xor(t7,xor(t7,or(t1,and(t3,t7))))
| or(t7,xor(t7,or(t1,and(t3,t7)))) = xor(t7,xor(t7,or(t1,and(t3,t7)))) ),
inference(resolve,[$cnf( $equal(or(t7,and(not(t7),xor(t7,or(t1,and(t3,t7))))),or(t7,xor(t7,or(t1,and(t3,t7))))) )],[refute_0_11921,refute_0_11922]) ).
cnf(refute_0_11924,plain,
xor(t7,xor(t7,or(t1,and(t3,t7)))) = or(t1,and(t3,t7)),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(t7)),bind(X_335,$fot(or(t1,and(t3,t7))))]]) ).
cnf(refute_0_11925,plain,
( or(t7,xor(t7,or(t1,and(t3,t7)))) != xor(t7,xor(t7,or(t1,and(t3,t7))))
| xor(t7,xor(t7,or(t1,and(t3,t7)))) != or(t1,and(t3,t7))
| or(t7,xor(t7,or(t1,and(t3,t7)))) = or(t1,and(t3,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(t7,xor(t7,or(t1,and(t3,t7)))),or(t1,and(t3,t7))) ),[0],$fot(xor(t7,xor(t7,or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_11926,plain,
( or(t7,xor(t7,or(t1,and(t3,t7)))) != xor(t7,xor(t7,or(t1,and(t3,t7))))
| or(t7,xor(t7,or(t1,and(t3,t7)))) = or(t1,and(t3,t7)) ),
inference(resolve,[$cnf( $equal(xor(t7,xor(t7,or(t1,and(t3,t7)))),or(t1,and(t3,t7))) )],[refute_0_11924,refute_0_11925]) ).
cnf(refute_0_11927,plain,
( or(t7,and(not(t7),xor(t7,or(t1,and(t3,t7))))) != xor(t7,xor(t7,or(t1,and(t3,t7))))
| or(t7,xor(t7,or(t1,and(t3,t7)))) = or(t1,and(t3,t7)) ),
inference(resolve,[$cnf( $equal(or(t7,xor(t7,or(t1,and(t3,t7)))),xor(t7,xor(t7,or(t1,and(t3,t7))))) )],[refute_0_11923,refute_0_11926]) ).
cnf(refute_0_11928,plain,
or(t7,xor(t7,or(t1,and(t3,t7)))) = or(t1,and(t3,t7)),
inference(resolve,[$cnf( $equal(or(t7,and(not(t7),xor(t7,or(t1,and(t3,t7))))),xor(t7,xor(t7,or(t1,and(t3,t7))))) )],[refute_0_11917,refute_0_11927]) ).
cnf(refute_0_11929,plain,
or(t7,xor(t7,or(t1,and(t3,t7)))) = or(t7,xor(t7,or(t1,and(t3,t7)))),
introduced(tautology,[refl,[$fot(or(t7,xor(t7,or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_11930,plain,
( or(t7,xor(t7,or(t1,and(t3,t7)))) != or(t7,xor(t7,or(t1,and(t3,t7))))
| xor(t7,or(t1,and(t3,t7))) != xor(t7,or(t1,t7))
| or(t7,xor(t7,or(t1,and(t3,t7)))) = or(t7,xor(t7,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,xor(t7,or(t1,and(t3,t7)))),or(t7,xor(t7,or(t1,and(t3,t7))))) ),[1,1],$fot(xor(t7,or(t1,t7)))]]) ).
cnf(refute_0_11931,plain,
( xor(t7,or(t1,and(t3,t7))) != xor(t7,or(t1,t7))
| or(t7,xor(t7,or(t1,and(t3,t7)))) = or(t7,xor(t7,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(or(t7,xor(t7,or(t1,and(t3,t7)))),or(t7,xor(t7,or(t1,and(t3,t7))))) )],[refute_0_11929,refute_0_11930]) ).
cnf(refute_0_11932,plain,
or(t7,xor(t7,or(t1,and(t3,t7)))) = or(t7,xor(t7,or(t1,t7))),
inference(resolve,[$cnf( $equal(xor(t7,or(t1,and(t3,t7))),xor(t7,or(t1,t7))) )],[refute_0_11061,refute_0_11931]) ).
cnf(refute_0_11933,plain,
( or(t7,xor(t7,or(t1,and(t3,t7)))) != or(t1,and(t3,t7))
| or(t7,xor(t7,or(t1,and(t3,t7)))) != or(t7,xor(t7,or(t1,t7)))
| or(t7,xor(t7,or(t1,t7))) = or(t1,and(t3,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,xor(t7,or(t1,and(t3,t7)))),or(t1,and(t3,t7))) ),[0],$fot(or(t7,xor(t7,or(t1,t7))))]]) ).
cnf(refute_0_11934,plain,
( or(t7,xor(t7,or(t1,and(t3,t7)))) != or(t1,and(t3,t7))
| or(t7,xor(t7,or(t1,t7))) = or(t1,and(t3,t7)) ),
inference(resolve,[$cnf( $equal(or(t7,xor(t7,or(t1,and(t3,t7)))),or(t7,xor(t7,or(t1,t7)))) )],[refute_0_11932,refute_0_11933]) ).
cnf(refute_0_11935,plain,
( or(t1,and(t3,t7)) != or(t1,t7)
| or(t7,xor(t7,or(t1,t7))) != or(t1,and(t3,t7))
| or(t7,xor(t7,or(t1,t7))) = or(t1,t7) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,xor(t7,or(t1,t7))),or(t1,and(t3,t7))) ),[1],$fot(or(t1,t7))]]) ).
cnf(refute_0_11936,plain,
( or(t7,xor(t7,or(t1,t7))) != or(t1,and(t3,t7))
| or(t7,xor(t7,or(t1,t7))) = or(t1,t7) ),
inference(resolve,[$cnf( $equal(or(t1,and(t3,t7)),or(t1,t7)) )],[refute_0_11034,refute_0_11935]) ).
cnf(refute_0_11937,plain,
( or(t7,xor(t7,or(t1,and(t3,t7)))) != or(t1,and(t3,t7))
| or(t7,xor(t7,or(t1,t7))) = or(t1,t7) ),
inference(resolve,[$cnf( $equal(or(t7,xor(t7,or(t1,t7))),or(t1,and(t3,t7))) )],[refute_0_11934,refute_0_11936]) ).
cnf(refute_0_11938,plain,
or(t7,xor(t7,or(t1,t7))) = or(t1,t7),
inference(resolve,[$cnf( $equal(or(t7,xor(t7,or(t1,and(t3,t7)))),or(t1,and(t3,t7))) )],[refute_0_11928,refute_0_11937]) ).
cnf(refute_0_11939,plain,
( not(xor(t7,or(a,t7))) != or(t7,not(carry))
| or(t7,not(or(a,t7))) != not(xor(t7,or(a,t7)))
| or(t7,not(or(a,t7))) = or(t7,not(carry)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,not(or(a,t7))),not(xor(t7,or(a,t7)))) ),[1],$fot(or(t7,not(carry)))]]) ).
cnf(refute_0_11940,plain,
( or(t7,not(or(a,t7))) != not(xor(t7,or(a,t7)))
| or(t7,not(or(a,t7))) = or(t7,not(carry)) ),
inference(resolve,[$cnf( $equal(not(xor(t7,or(a,t7))),or(t7,not(carry))) )],[refute_0_8435,refute_0_11939]) ).
cnf(refute_0_11941,plain,
or(t7,not(or(a,t7))) = or(t7,not(carry)),
inference(resolve,[$cnf( $equal(or(t7,not(or(a,t7))),not(xor(t7,or(a,t7)))) )],[refute_0_10358,refute_0_11940]) ).
cnf(refute_0_11942,plain,
or(t7,xor(t7,or(t1,t7))) = or(t7,xor(t7,or(t1,t7))),
introduced(tautology,[refl,[$fot(or(t7,xor(t7,or(t1,t7))))]]) ).
cnf(refute_0_11943,plain,
( or(t7,xor(t7,or(t1,t7))) != or(t7,xor(t7,or(t1,t7)))
| xor(t7,or(t1,t7)) != not(or(a,t7))
| or(t7,xor(t7,or(t1,t7))) = or(t7,not(or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,xor(t7,or(t1,t7))),or(t7,xor(t7,or(t1,t7)))) ),[1,1],$fot(not(or(a,t7)))]]) ).
cnf(refute_0_11944,plain,
( xor(t7,or(t1,t7)) != not(or(a,t7))
| or(t7,xor(t7,or(t1,t7))) = or(t7,not(or(a,t7))) ),
inference(resolve,[$cnf( $equal(or(t7,xor(t7,or(t1,t7))),or(t7,xor(t7,or(t1,t7)))) )],[refute_0_11942,refute_0_11943]) ).
cnf(refute_0_11945,plain,
or(t7,xor(t7,or(t1,t7))) = or(t7,not(or(a,t7))),
inference(resolve,[$cnf( $equal(xor(t7,or(t1,t7)),not(or(a,t7))) )],[refute_0_11156,refute_0_11944]) ).
cnf(refute_0_11946,plain,
( or(t7,not(or(a,t7))) != or(t7,not(carry))
| or(t7,xor(t7,or(t1,t7))) != or(t7,not(or(a,t7)))
| or(t7,xor(t7,or(t1,t7))) = or(t7,not(carry)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t7,xor(t7,or(t1,t7))))),bind(Y0,$fot(or(t7,not(or(a,t7))))),bind(Z0,$fot(or(t7,not(carry))))]]) ).
cnf(refute_0_11947,plain,
( or(t7,not(or(a,t7))) != or(t7,not(carry))
| or(t7,xor(t7,or(t1,t7))) = or(t7,not(carry)) ),
inference(resolve,[$cnf( $equal(or(t7,xor(t7,or(t1,t7))),or(t7,not(or(a,t7)))) )],[refute_0_11945,refute_0_11946]) ).
cnf(refute_0_11948,plain,
or(t7,xor(t7,or(t1,t7))) = or(t7,not(carry)),
inference(resolve,[$cnf( $equal(or(t7,not(or(a,t7))),or(t7,not(carry))) )],[refute_0_11941,refute_0_11947]) ).
cnf(refute_0_11949,plain,
( or(t7,xor(t7,or(t1,t7))) != or(t1,t7)
| or(t7,xor(t7,or(t1,t7))) != or(t7,not(carry))
| or(t7,not(carry)) = or(t1,t7) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,xor(t7,or(t1,t7))),or(t1,t7)) ),[0],$fot(or(t7,not(carry)))]]) ).
cnf(refute_0_11950,plain,
( or(t7,xor(t7,or(t1,t7))) != or(t1,t7)
| or(t7,not(carry)) = or(t1,t7) ),
inference(resolve,[$cnf( $equal(or(t7,xor(t7,or(t1,t7))),or(t7,not(carry))) )],[refute_0_11948,refute_0_11949]) ).
cnf(refute_0_11951,plain,
or(t7,not(carry)) = or(t1,t7),
inference(resolve,[$cnf( $equal(or(t7,xor(t7,or(t1,t7))),or(t1,t7)) )],[refute_0_11938,refute_0_11950]) ).
cnf(refute_0_11952,plain,
and(t6,or(t7,not(carry))) = and(t6,or(t7,not(carry))),
introduced(tautology,[refl,[$fot(and(t6,or(t7,not(carry))))]]) ).
cnf(refute_0_11953,plain,
( and(t6,or(t7,not(carry))) != and(t6,or(t7,not(carry)))
| or(t7,not(carry)) != or(t1,t7)
| and(t6,or(t7,not(carry))) = and(t6,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(t7,not(carry))),and(t6,or(t7,not(carry)))) ),[1,1],$fot(or(t1,t7))]]) ).
cnf(refute_0_11954,plain,
( or(t7,not(carry)) != or(t1,t7)
| and(t6,or(t7,not(carry))) = and(t6,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(t6,or(t7,not(carry))),and(t6,or(t7,not(carry)))) )],[refute_0_11952,refute_0_11953]) ).
cnf(refute_0_11955,plain,
and(t6,or(t7,not(carry))) = and(t6,or(t1,t7)),
inference(resolve,[$cnf( $equal(or(t7,not(carry)),or(t1,t7)) )],[refute_0_11951,refute_0_11954]) ).
cnf(refute_0_11956,plain,
xor(t7,and(t6,or(t7,not(carry)))) = xor(t7,and(t6,or(t7,not(carry)))),
introduced(tautology,[refl,[$fot(xor(t7,and(t6,or(t7,not(carry)))))]]) ).
cnf(refute_0_11957,plain,
( and(t6,or(t7,not(carry))) != and(t6,or(t1,t7))
| xor(t7,and(t6,or(t7,not(carry)))) != xor(t7,and(t6,or(t7,not(carry))))
| xor(t7,and(t6,or(t7,not(carry)))) = xor(t7,and(t6,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t7,and(t6,or(t7,not(carry)))),xor(t7,and(t6,or(t7,not(carry))))) ),[1,1],$fot(and(t6,or(t1,t7)))]]) ).
cnf(refute_0_11958,plain,
( and(t6,or(t7,not(carry))) != and(t6,or(t1,t7))
| xor(t7,and(t6,or(t7,not(carry)))) = xor(t7,and(t6,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(xor(t7,and(t6,or(t7,not(carry)))),xor(t7,and(t6,or(t7,not(carry))))) )],[refute_0_11956,refute_0_11957]) ).
cnf(refute_0_11959,plain,
xor(t7,and(t6,or(t7,not(carry)))) = xor(t7,and(t6,or(t1,t7))),
inference(resolve,[$cnf( $equal(and(t6,or(t7,not(carry))),and(t6,or(t1,t7))) )],[refute_0_11955,refute_0_11958]) ).
cnf(refute_0_11960,plain,
( and(sum,t1) != xor(t7,and(t6,or(t7,not(carry))))
| xor(t7,and(t6,or(t7,not(carry)))) != xor(t7,and(t6,or(t1,t7)))
| and(sum,t1) = xor(t7,and(t6,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(sum,t1),xor(t7,and(t6,or(t1,t7)))) ),[0],$fot(xor(t7,and(t6,or(t7,not(carry)))))]]) ).
cnf(refute_0_11961,plain,
( and(sum,t1) != xor(t7,and(t6,or(t7,not(carry))))
| and(sum,t1) = xor(t7,and(t6,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(xor(t7,and(t6,or(t7,not(carry)))),xor(t7,and(t6,or(t1,t7)))) )],[refute_0_11959,refute_0_11960]) ).
cnf(refute_0_11962,plain,
( xor(sum,and(carry,not(t7))) != xor(t7,and(t6,or(t7,not(carry))))
| and(sum,t1) = xor(t7,and(t6,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(and(sum,t1),xor(t7,and(t6,or(t7,not(carry))))) )],[refute_0_11898,refute_0_11961]) ).
cnf(refute_0_11963,plain,
and(sum,t1) = xor(t7,and(t6,or(t1,t7))),
inference(resolve,[$cnf( $equal(xor(sum,and(carry,not(t7))),xor(t7,and(t6,or(t7,not(carry))))) )],[refute_0_11878,refute_0_11962]) ).
cnf(refute_0_11964,plain,
( and(sum,t1) != xor(t7,and(t6,or(t1,t7)))
| xor(t7,and(t6,or(t1,t7))) = and(sum,t1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(sum,t1))),bind(Y0,$fot(xor(t7,and(t6,or(t1,t7)))))]]) ).
cnf(refute_0_11965,plain,
xor(t7,and(t6,or(t1,t7))) = and(sum,t1),
inference(resolve,[$cnf( $equal(and(sum,t1),xor(t7,and(t6,or(t1,t7)))) )],[refute_0_11963,refute_0_11964]) ).
cnf(refute_0_11966,plain,
( xor(cin,xor(t7,and(t6,or(t1,t7)))) != xor(t5,and(t6,or(t1,t7)))
| xor(t7,and(t6,or(t1,t7))) != and(sum,t1)
| xor(cin,and(sum,t1)) = xor(t5,and(t6,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t7,and(t6,or(t1,t7)))),xor(t5,and(t6,or(t1,t7)))) ),[0,1],$fot(and(sum,t1))]]) ).
cnf(refute_0_11967,plain,
( xor(cin,xor(t7,and(t6,or(t1,t7)))) != xor(t5,and(t6,or(t1,t7)))
| xor(cin,and(sum,t1)) = xor(t5,and(t6,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(xor(t7,and(t6,or(t1,t7))),and(sum,t1)) )],[refute_0_11965,refute_0_11966]) ).
cnf(refute_0_11968,plain,
xor(cin,and(sum,t1)) = xor(t5,and(t6,or(t1,t7))),
inference(resolve,[$cnf( $equal(xor(cin,xor(t7,and(t6,or(t1,t7)))),xor(t5,and(t6,or(t1,t7)))) )],[refute_0_11874,refute_0_11967]) ).
cnf(refute_0_11969,plain,
or(or(t4,not(t5)),X_39) = or(t4,or(not(t5),X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(t4)),bind(Y,$fot(not(t5))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_11970,plain,
( or(or(t4,not(t5)),X_39) != or(t4,or(not(t5),X_39))
| or(t4,not(t5)) != t4
| or(t4,X_39) = or(t4,or(not(t5),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t4,not(t5)),X_39),or(t4,or(not(t5),X_39))) ),[0,0],$fot(t4)]]) ).
cnf(refute_0_11971,plain,
( or(or(t4,not(t5)),X_39) != or(t4,or(not(t5),X_39))
| or(t4,X_39) = or(t4,or(not(t5),X_39)) ),
inference(resolve,[$cnf( $equal(or(t4,not(t5)),t4) )],[refute_0_955,refute_0_11970]) ).
cnf(refute_0_11972,plain,
or(t4,X_39) = or(t4,or(not(t5),X_39)),
inference(resolve,[$cnf( $equal(or(or(t4,not(t5)),X_39),or(t4,or(not(t5),X_39))) )],[refute_0_11969,refute_0_11971]) ).
cnf(refute_0_11973,plain,
or(t4,not(Y)) = or(t4,or(not(t5),not(Y))),
inference(subst,[],[refute_0_11972:[bind(X_39,$fot(not(Y)))]]) ).
cnf(refute_0_11974,plain,
( or(not(t5),not(Y)) != not(and(t5,Y))
| or(t4,not(Y)) != or(t4,or(not(t5),not(Y)))
| or(t4,not(Y)) = or(t4,not(and(t5,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,not(Y)),or(t4,or(not(t5),not(Y)))) ),[1,1],$fot(not(and(t5,Y)))]]) ).
cnf(refute_0_11975,plain,
( or(t4,not(Y)) != or(t4,or(not(t5),not(Y)))
| or(t4,not(Y)) = or(t4,not(and(t5,Y))) ),
inference(resolve,[$cnf( $equal(or(not(t5),not(Y)),not(and(t5,Y))) )],[refute_0_11284,refute_0_11974]) ).
cnf(refute_0_11976,plain,
or(t4,not(Y)) = or(t4,not(and(t5,Y))),
inference(resolve,[$cnf( $equal(or(t4,not(Y)),or(t4,or(not(t5),not(Y)))) )],[refute_0_11973,refute_0_11975]) ).
cnf(refute_0_11977,plain,
or(t4,not(not(xor(t7,or(carry,t7))))) = or(t4,not(and(t5,not(xor(t7,or(carry,t7)))))),
inference(subst,[],[refute_0_11976:[bind(Y,$fot(not(xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_11978,plain,
or(and(t5,not(xor(t7,or(carry,t7)))),and(not(t5),xor(t7,or(carry,t7)))) = xor(t5,xor(t7,or(carry,t7))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t5)),bind(Y,$fot(xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_11979,plain,
and(not(t5),xor(t7,or(carry,t7))) = and(carry,and(t1,xor(t7,or(carry,t7)))),
inference(subst,[],[refute_0_11700:[bind(Z,$fot(xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_11980,plain,
and(or(t7,not(and(t1,or(carry,t7)))),not(or(not(and(t1,or(carry,t7))),t7))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(not(and(t1,or(carry,t7))))),bind(X_28,$fot(t7))]]) ).
cnf(refute_0_11981,plain,
or(not(t1),or(t7,and(t1,not(t7)))) = ll1,
inference(subst,[],[refute_0_167:[bind(X_29,$fot(t1)),bind(X_30,$fot(t7))]]) ).
cnf(refute_0_11982,plain,
( and(t1,not(t7)) != not(or(carry,t7))
| or(not(t1),or(t7,and(t1,not(t7)))) != ll1
| or(not(t1),or(t7,not(or(carry,t7)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t1),or(t7,and(t1,not(t7)))),ll1) ),[0,1,1],$fot(not(or(carry,t7)))]]) ).
cnf(refute_0_11983,plain,
( or(not(t1),or(t7,and(t1,not(t7)))) != ll1
| or(not(t1),or(t7,not(or(carry,t7)))) = ll1 ),
inference(resolve,[$cnf( $equal(and(t1,not(t7)),not(or(carry,t7))) )],[refute_0_242,refute_0_11982]) ).
cnf(refute_0_11984,plain,
or(not(t1),or(t7,not(or(carry,t7)))) = ll1,
inference(resolve,[$cnf( $equal(or(not(t1),or(t7,and(t1,not(t7)))),ll1) )],[refute_0_11981,refute_0_11983]) ).
cnf(refute_0_11985,plain,
or(not(t1),not(or(carry,t7))) = not(and(t1,or(carry,t7))),
inference(subst,[],[refute_0_147:[bind(X,$fot(t1)),bind(Y,$fot(or(carry,t7)))]]) ).
cnf(refute_0_11986,plain,
or(t7,or(not(t1),not(or(carry,t7)))) = or(t7,or(not(t1),not(or(carry,t7)))),
introduced(tautology,[refl,[$fot(or(t7,or(not(t1),not(or(carry,t7)))))]]) ).
cnf(refute_0_11987,plain,
( or(not(t1),not(or(carry,t7))) != not(and(t1,or(carry,t7)))
| or(t7,or(not(t1),not(or(carry,t7)))) != or(t7,or(not(t1),not(or(carry,t7))))
| or(t7,or(not(t1),not(or(carry,t7)))) = or(t7,not(and(t1,or(carry,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,or(not(t1),not(or(carry,t7)))),or(t7,or(not(t1),not(or(carry,t7))))) ),[1,1],$fot(not(and(t1,or(carry,t7))))]]) ).
cnf(refute_0_11988,plain,
( or(not(t1),not(or(carry,t7))) != not(and(t1,or(carry,t7)))
| or(t7,or(not(t1),not(or(carry,t7)))) = or(t7,not(and(t1,or(carry,t7)))) ),
inference(resolve,[$cnf( $equal(or(t7,or(not(t1),not(or(carry,t7)))),or(t7,or(not(t1),not(or(carry,t7))))) )],[refute_0_11986,refute_0_11987]) ).
cnf(refute_0_11989,plain,
or(t7,or(not(t1),not(or(carry,t7)))) = or(t7,not(and(t1,or(carry,t7)))),
inference(resolve,[$cnf( $equal(or(not(t1),not(or(carry,t7))),not(and(t1,or(carry,t7)))) )],[refute_0_11985,refute_0_11988]) ).
cnf(refute_0_11990,plain,
or(not(t1),or(t7,not(or(carry,t7)))) = or(t7,or(not(t1),not(or(carry,t7)))),
inference(subst,[],[refute_0_267:[bind(X_37,$fot(not(t1))),bind(X_38,$fot(t7)),bind(X_39,$fot(not(or(carry,t7))))]]) ).
cnf(refute_0_11991,plain,
( or(not(t1),or(t7,not(or(carry,t7)))) != or(t7,or(not(t1),not(or(carry,t7))))
| or(t7,or(not(t1),not(or(carry,t7)))) != or(t7,not(and(t1,or(carry,t7))))
| or(not(t1),or(t7,not(or(carry,t7)))) = or(t7,not(and(t1,or(carry,t7)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t1),or(t7,not(or(carry,t7)))))),bind(Y0,$fot(or(t7,or(not(t1),not(or(carry,t7)))))),bind(Z0,$fot(or(t7,not(and(t1,or(carry,t7))))))]]) ).
cnf(refute_0_11992,plain,
( or(t7,or(not(t1),not(or(carry,t7)))) != or(t7,not(and(t1,or(carry,t7))))
| or(not(t1),or(t7,not(or(carry,t7)))) = or(t7,not(and(t1,or(carry,t7)))) ),
inference(resolve,[$cnf( $equal(or(not(t1),or(t7,not(or(carry,t7)))),or(t7,or(not(t1),not(or(carry,t7))))) )],[refute_0_11990,refute_0_11991]) ).
cnf(refute_0_11993,plain,
or(not(t1),or(t7,not(or(carry,t7)))) = or(t7,not(and(t1,or(carry,t7)))),
inference(resolve,[$cnf( $equal(or(t7,or(not(t1),not(or(carry,t7)))),or(t7,not(and(t1,or(carry,t7))))) )],[refute_0_11989,refute_0_11992]) ).
cnf(refute_0_11994,plain,
( or(not(t1),or(t7,not(or(carry,t7)))) != ll1
| or(not(t1),or(t7,not(or(carry,t7)))) != or(t7,not(and(t1,or(carry,t7))))
| or(t7,not(and(t1,or(carry,t7)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t1),or(t7,not(or(carry,t7)))),ll1) ),[0],$fot(or(t7,not(and(t1,or(carry,t7)))))]]) ).
cnf(refute_0_11995,plain,
( or(not(t1),or(t7,not(or(carry,t7)))) != ll1
| or(t7,not(and(t1,or(carry,t7)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(not(t1),or(t7,not(or(carry,t7)))),or(t7,not(and(t1,or(carry,t7))))) )],[refute_0_11993,refute_0_11994]) ).
cnf(refute_0_11996,plain,
or(t7,not(and(t1,or(carry,t7)))) = ll1,
inference(resolve,[$cnf( $equal(or(not(t1),or(t7,not(or(carry,t7)))),ll1) )],[refute_0_11984,refute_0_11995]) ).
cnf(refute_0_11997,plain,
( and(or(t7,not(and(t1,or(carry,t7)))),not(or(not(and(t1,or(carry,t7))),t7))) != ll0
| or(t7,not(and(t1,or(carry,t7)))) != ll1
| and(ll1,not(or(not(and(t1,or(carry,t7))),t7))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(t7,not(and(t1,or(carry,t7)))),not(or(not(and(t1,or(carry,t7))),t7))),ll0) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_11998,plain,
( and(or(t7,not(and(t1,or(carry,t7)))),not(or(not(and(t1,or(carry,t7))),t7))) != ll0
| and(ll1,not(or(not(and(t1,or(carry,t7))),t7))) = ll0 ),
inference(resolve,[$cnf( $equal(or(t7,not(and(t1,or(carry,t7)))),ll1) )],[refute_0_11996,refute_0_11997]) ).
cnf(refute_0_11999,plain,
and(ll1,not(or(not(and(t1,or(carry,t7))),t7))) = ll0,
inference(resolve,[$cnf( $equal(and(or(t7,not(and(t1,or(carry,t7)))),not(or(not(and(t1,or(carry,t7))),t7))),ll0) )],[refute_0_11980,refute_0_11998]) ).
cnf(refute_0_12000,plain,
and(t1,and(not(t7),or(carry,t7))) = and(t1,and(not(t7),or(carry,t7))),
introduced(tautology,[refl,[$fot(and(t1,and(not(t7),or(carry,t7))))]]) ).
cnf(refute_0_12001,plain,
( and(not(t7),or(carry,t7)) != xor(t7,or(carry,t7))
| and(t1,and(not(t7),or(carry,t7))) != and(t1,and(not(t7),or(carry,t7)))
| and(t1,and(not(t7),or(carry,t7))) = and(t1,xor(t7,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,and(not(t7),or(carry,t7))),and(t1,and(not(t7),or(carry,t7)))) ),[1,1],$fot(xor(t7,or(carry,t7)))]]) ).
cnf(refute_0_12002,plain,
( and(not(t7),or(carry,t7)) != xor(t7,or(carry,t7))
| and(t1,and(not(t7),or(carry,t7))) = and(t1,xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(t1,and(not(t7),or(carry,t7))),and(t1,and(not(t7),or(carry,t7)))) )],[refute_0_12000,refute_0_12001]) ).
cnf(refute_0_12003,plain,
and(t1,and(not(t7),or(carry,t7))) = and(t1,xor(t7,or(carry,t7))),
inference(resolve,[$cnf( $equal(and(not(t7),or(carry,t7)),xor(t7,or(carry,t7))) )],[refute_0_8704,refute_0_12002]) ).
cnf(refute_0_12004,plain,
and(not(t7),and(t1,or(carry,t7))) = and(t1,and(not(t7),or(carry,t7))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(t7))),bind(X_221,$fot(t1)),bind(X_222,$fot(or(carry,t7)))]]) ).
cnf(refute_0_12005,plain,
not(or(t7,not(and(t1,or(carry,t7))))) = and(not(t7),and(t1,or(carry,t7))),
inference(subst,[],[refute_0_801:[bind(X,$fot(and(t1,or(carry,t7)))),bind(X_25,$fot(t7))]]) ).
cnf(refute_0_12006,plain,
( and(not(t7),and(t1,or(carry,t7))) != and(t1,and(not(t7),or(carry,t7)))
| not(or(t7,not(and(t1,or(carry,t7))))) != and(not(t7),and(t1,or(carry,t7)))
| not(or(t7,not(and(t1,or(carry,t7))))) = and(t1,and(not(t7),or(carry,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(t7,not(and(t1,or(carry,t7))))))),bind(Y0,$fot(and(not(t7),and(t1,or(carry,t7))))),bind(Z0,$fot(and(t1,and(not(t7),or(carry,t7)))))]]) ).
cnf(refute_0_12007,plain,
( and(not(t7),and(t1,or(carry,t7))) != and(t1,and(not(t7),or(carry,t7)))
| not(or(t7,not(and(t1,or(carry,t7))))) = and(t1,and(not(t7),or(carry,t7))) ),
inference(resolve,[$cnf( $equal(not(or(t7,not(and(t1,or(carry,t7))))),and(not(t7),and(t1,or(carry,t7)))) )],[refute_0_12005,refute_0_12006]) ).
cnf(refute_0_12008,plain,
not(or(t7,not(and(t1,or(carry,t7))))) = and(t1,and(not(t7),or(carry,t7))),
inference(resolve,[$cnf( $equal(and(not(t7),and(t1,or(carry,t7))),and(t1,and(not(t7),or(carry,t7)))) )],[refute_0_12004,refute_0_12007]) ).
cnf(refute_0_12009,plain,
and(ll1,not(or(t7,not(and(t1,or(carry,t7)))))) = not(or(t7,not(and(t1,or(carry,t7))))),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(or(t7,not(and(t1,or(carry,t7)))))))]]) ).
cnf(refute_0_12010,plain,
( and(ll1,not(or(t7,not(and(t1,or(carry,t7)))))) != not(or(t7,not(and(t1,or(carry,t7)))))
| not(or(t7,not(and(t1,or(carry,t7))))) != and(t1,and(not(t7),or(carry,t7)))
| and(ll1,not(or(t7,not(and(t1,or(carry,t7)))))) = and(t1,and(not(t7),or(carry,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(t7,not(and(t1,or(carry,t7)))))))),bind(Y0,$fot(not(or(t7,not(and(t1,or(carry,t7))))))),bind(Z0,$fot(and(t1,and(not(t7),or(carry,t7)))))]]) ).
cnf(refute_0_12011,plain,
( not(or(t7,not(and(t1,or(carry,t7))))) != and(t1,and(not(t7),or(carry,t7)))
| and(ll1,not(or(t7,not(and(t1,or(carry,t7)))))) = and(t1,and(not(t7),or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t7,not(and(t1,or(carry,t7)))))),not(or(t7,not(and(t1,or(carry,t7)))))) )],[refute_0_12009,refute_0_12010]) ).
cnf(refute_0_12012,plain,
and(ll1,not(or(t7,not(and(t1,or(carry,t7)))))) = and(t1,and(not(t7),or(carry,t7))),
inference(resolve,[$cnf( $equal(not(or(t7,not(and(t1,or(carry,t7))))),and(t1,and(not(t7),or(carry,t7)))) )],[refute_0_12008,refute_0_12011]) ).
cnf(refute_0_12013,plain,
and(ll1,not(or(not(and(t1,or(carry,t7))),t7))) = and(ll1,not(or(t7,not(and(t1,or(carry,t7)))))),
inference(subst,[],[refute_0_815:[bind(X_25,$fot(t7)),bind(X_26,$fot(not(and(t1,or(carry,t7))))),bind(X_29,$fot(ll1))]]) ).
cnf(refute_0_12014,plain,
( and(ll1,not(or(not(and(t1,or(carry,t7))),t7))) != and(ll1,not(or(t7,not(and(t1,or(carry,t7))))))
| and(ll1,not(or(t7,not(and(t1,or(carry,t7)))))) != and(t1,and(not(t7),or(carry,t7)))
| and(ll1,not(or(not(and(t1,or(carry,t7))),t7))) = and(t1,and(not(t7),or(carry,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(and(t1,or(carry,t7))),t7))))),bind(Y0,$fot(and(ll1,not(or(t7,not(and(t1,or(carry,t7)))))))),bind(Z0,$fot(and(t1,and(not(t7),or(carry,t7)))))]]) ).
cnf(refute_0_12015,plain,
( and(ll1,not(or(t7,not(and(t1,or(carry,t7)))))) != and(t1,and(not(t7),or(carry,t7)))
| and(ll1,not(or(not(and(t1,or(carry,t7))),t7))) = and(t1,and(not(t7),or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(and(t1,or(carry,t7))),t7))),and(ll1,not(or(t7,not(and(t1,or(carry,t7))))))) )],[refute_0_12013,refute_0_12014]) ).
cnf(refute_0_12016,plain,
and(ll1,not(or(not(and(t1,or(carry,t7))),t7))) = and(t1,and(not(t7),or(carry,t7))),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t7,not(and(t1,or(carry,t7)))))),and(t1,and(not(t7),or(carry,t7)))) )],[refute_0_12012,refute_0_12015]) ).
cnf(refute_0_12017,plain,
( and(ll1,not(or(not(and(t1,or(carry,t7))),t7))) != and(t1,and(not(t7),or(carry,t7)))
| and(t1,and(not(t7),or(carry,t7))) != and(t1,xor(t7,or(carry,t7)))
| and(ll1,not(or(not(and(t1,or(carry,t7))),t7))) = and(t1,xor(t7,or(carry,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(and(t1,or(carry,t7))),t7))))),bind(Y0,$fot(and(t1,and(not(t7),or(carry,t7))))),bind(Z0,$fot(and(t1,xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_12018,plain,
( and(t1,and(not(t7),or(carry,t7))) != and(t1,xor(t7,or(carry,t7)))
| and(ll1,not(or(not(and(t1,or(carry,t7))),t7))) = and(t1,xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(and(t1,or(carry,t7))),t7))),and(t1,and(not(t7),or(carry,t7)))) )],[refute_0_12016,refute_0_12017]) ).
cnf(refute_0_12019,plain,
and(ll1,not(or(not(and(t1,or(carry,t7))),t7))) = and(t1,xor(t7,or(carry,t7))),
inference(resolve,[$cnf( $equal(and(t1,and(not(t7),or(carry,t7))),and(t1,xor(t7,or(carry,t7)))) )],[refute_0_12003,refute_0_12018]) ).
cnf(refute_0_12020,plain,
( and(ll1,not(or(not(and(t1,or(carry,t7))),t7))) != and(t1,xor(t7,or(carry,t7)))
| and(ll1,not(or(not(and(t1,or(carry,t7))),t7))) != ll0
| and(t1,xor(t7,or(carry,t7))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(ll1,not(or(not(and(t1,or(carry,t7))),t7))),ll0) ),[0],$fot(and(t1,xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_12021,plain,
( and(ll1,not(or(not(and(t1,or(carry,t7))),t7))) != ll0
| and(t1,xor(t7,or(carry,t7))) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(and(t1,or(carry,t7))),t7))),and(t1,xor(t7,or(carry,t7)))) )],[refute_0_12019,refute_0_12020]) ).
cnf(refute_0_12022,plain,
and(t1,xor(t7,or(carry,t7))) = ll0,
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(and(t1,or(carry,t7))),t7))),ll0) )],[refute_0_11999,refute_0_12021]) ).
cnf(refute_0_12023,plain,
( and(not(t5),xor(t7,or(carry,t7))) != and(carry,and(t1,xor(t7,or(carry,t7))))
| and(t1,xor(t7,or(carry,t7))) != ll0
| and(not(t5),xor(t7,or(carry,t7))) = and(carry,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),xor(t7,or(carry,t7))),and(carry,and(t1,xor(t7,or(carry,t7))))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_12024,plain,
( and(not(t5),xor(t7,or(carry,t7))) != and(carry,and(t1,xor(t7,or(carry,t7))))
| and(not(t5),xor(t7,or(carry,t7))) = and(carry,ll0) ),
inference(resolve,[$cnf( $equal(and(t1,xor(t7,or(carry,t7))),ll0) )],[refute_0_12022,refute_0_12023]) ).
cnf(refute_0_12025,plain,
and(not(t5),xor(t7,or(carry,t7))) = and(carry,ll0),
inference(resolve,[$cnf( $equal(and(not(t5),xor(t7,or(carry,t7))),and(carry,and(t1,xor(t7,or(carry,t7))))) )],[refute_0_11979,refute_0_12024]) ).
cnf(refute_0_12026,plain,
and(carry,ll0) = ll0,
inference(subst,[],[and_boundedness:[bind(X,$fot(carry))]]) ).
cnf(refute_0_12027,plain,
( and(carry,ll0) != ll0
| and(not(t5),xor(t7,or(carry,t7))) != and(carry,ll0)
| and(not(t5),xor(t7,or(carry,t7))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),xor(t7,or(carry,t7))),and(carry,ll0)) ),[1],$fot(ll0)]]) ).
cnf(refute_0_12028,plain,
( and(not(t5),xor(t7,or(carry,t7))) != and(carry,ll0)
| and(not(t5),xor(t7,or(carry,t7))) = ll0 ),
inference(resolve,[$cnf( $equal(and(carry,ll0),ll0) )],[refute_0_12026,refute_0_12027]) ).
cnf(refute_0_12029,plain,
and(not(t5),xor(t7,or(carry,t7))) = ll0,
inference(resolve,[$cnf( $equal(and(not(t5),xor(t7,or(carry,t7))),and(carry,ll0)) )],[refute_0_12025,refute_0_12028]) ).
cnf(refute_0_12030,plain,
( and(not(t5),xor(t7,or(carry,t7))) != ll0
| or(and(t5,not(xor(t7,or(carry,t7)))),and(not(t5),xor(t7,or(carry,t7)))) != xor(t5,xor(t7,or(carry,t7)))
| or(and(t5,not(xor(t7,or(carry,t7)))),ll0) = xor(t5,xor(t7,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t5,not(xor(t7,or(carry,t7)))),and(not(t5),xor(t7,or(carry,t7)))),xor(t5,xor(t7,or(carry,t7)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_12031,plain,
( or(and(t5,not(xor(t7,or(carry,t7)))),and(not(t5),xor(t7,or(carry,t7)))) != xor(t5,xor(t7,or(carry,t7)))
| or(and(t5,not(xor(t7,or(carry,t7)))),ll0) = xor(t5,xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(not(t5),xor(t7,or(carry,t7))),ll0) )],[refute_0_12029,refute_0_12030]) ).
cnf(refute_0_12032,plain,
or(and(t5,not(xor(t7,or(carry,t7)))),ll0) = xor(t5,xor(t7,or(carry,t7))),
inference(resolve,[$cnf( $equal(or(and(t5,not(xor(t7,or(carry,t7)))),and(not(t5),xor(t7,or(carry,t7)))),xor(t5,xor(t7,or(carry,t7)))) )],[refute_0_11978,refute_0_12031]) ).
cnf(refute_0_12033,plain,
or(and(t5,not(xor(t7,or(carry,t7)))),ll0) = and(t5,not(xor(t7,or(carry,t7)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t5,not(xor(t7,or(carry,t7))))))]]) ).
cnf(refute_0_12034,plain,
( or(and(t5,not(xor(t7,or(carry,t7)))),ll0) != and(t5,not(xor(t7,or(carry,t7))))
| or(and(t5,not(xor(t7,or(carry,t7)))),ll0) != xor(t5,xor(t7,or(carry,t7)))
| and(t5,not(xor(t7,or(carry,t7)))) = xor(t5,xor(t7,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t5,not(xor(t7,or(carry,t7)))),ll0),xor(t5,xor(t7,or(carry,t7)))) ),[0],$fot(and(t5,not(xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_12035,plain,
( or(and(t5,not(xor(t7,or(carry,t7)))),ll0) != xor(t5,xor(t7,or(carry,t7)))
| and(t5,not(xor(t7,or(carry,t7)))) = xor(t5,xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(or(and(t5,not(xor(t7,or(carry,t7)))),ll0),and(t5,not(xor(t7,or(carry,t7))))) )],[refute_0_12033,refute_0_12034]) ).
cnf(refute_0_12036,plain,
xor(t5,xor(t7,or(carry,t7))) = xor(cin,or(carry,t7)),
inference(subst,[],[refute_0_8910:[bind(Z,$fot(or(carry,t7)))]]) ).
cnf(refute_0_12037,plain,
( and(t5,not(xor(t7,or(carry,t7)))) != xor(t5,xor(t7,or(carry,t7)))
| xor(t5,xor(t7,or(carry,t7))) != xor(cin,or(carry,t7))
| and(t5,not(xor(t7,or(carry,t7)))) = xor(cin,or(carry,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t5,not(xor(t7,or(carry,t7)))),xor(cin,or(carry,t7))) ),[0],$fot(xor(t5,xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_12038,plain,
( and(t5,not(xor(t7,or(carry,t7)))) != xor(t5,xor(t7,or(carry,t7)))
| and(t5,not(xor(t7,or(carry,t7)))) = xor(cin,or(carry,t7)) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(t7,or(carry,t7))),xor(cin,or(carry,t7))) )],[refute_0_12036,refute_0_12037]) ).
cnf(refute_0_12039,plain,
( or(and(t5,not(xor(t7,or(carry,t7)))),ll0) != xor(t5,xor(t7,or(carry,t7)))
| and(t5,not(xor(t7,or(carry,t7)))) = xor(cin,or(carry,t7)) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t7,or(carry,t7)))),xor(t5,xor(t7,or(carry,t7)))) )],[refute_0_12035,refute_0_12038]) ).
cnf(refute_0_12040,plain,
and(t5,not(xor(t7,or(carry,t7)))) = xor(cin,or(carry,t7)),
inference(resolve,[$cnf( $equal(or(and(t5,not(xor(t7,or(carry,t7)))),ll0),xor(t5,xor(t7,or(carry,t7)))) )],[refute_0_12032,refute_0_12039]) ).
cnf(refute_0_12041,plain,
( and(t5,not(xor(t7,or(carry,t7)))) != xor(cin,or(carry,t7))
| or(t4,not(not(xor(t7,or(carry,t7))))) != or(t4,not(and(t5,not(xor(t7,or(carry,t7))))))
| or(t4,not(not(xor(t7,or(carry,t7))))) = or(t4,not(xor(cin,or(carry,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,not(not(xor(t7,or(carry,t7))))),or(t4,not(and(t5,not(xor(t7,or(carry,t7))))))) ),[1,1,0],$fot(xor(cin,or(carry,t7)))]]) ).
cnf(refute_0_12042,plain,
( or(t4,not(not(xor(t7,or(carry,t7))))) != or(t4,not(and(t5,not(xor(t7,or(carry,t7))))))
| or(t4,not(not(xor(t7,or(carry,t7))))) = or(t4,not(xor(cin,or(carry,t7)))) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t7,or(carry,t7)))),xor(cin,or(carry,t7))) )],[refute_0_12040,refute_0_12041]) ).
cnf(refute_0_12043,plain,
or(t4,not(not(xor(t7,or(carry,t7))))) = or(t4,not(xor(cin,or(carry,t7)))),
inference(resolve,[$cnf( $equal(or(t4,not(not(xor(t7,or(carry,t7))))),or(t4,not(and(t5,not(xor(t7,or(carry,t7))))))) )],[refute_0_11977,refute_0_12042]) ).
cnf(refute_0_12044,plain,
not(not(xor(t7,or(carry,t7)))) = xor(t7,or(carry,t7)),
inference(subst,[],[not_involution:[bind(X,$fot(xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_12045,plain,
or(t4,not(not(xor(t7,or(carry,t7))))) = or(t4,not(not(xor(t7,or(carry,t7))))),
introduced(tautology,[refl,[$fot(or(t4,not(not(xor(t7,or(carry,t7))))))]]) ).
cnf(refute_0_12046,plain,
( not(not(xor(t7,or(carry,t7)))) != xor(t7,or(carry,t7))
| or(t4,not(not(xor(t7,or(carry,t7))))) != or(t4,not(not(xor(t7,or(carry,t7)))))
| or(t4,not(not(xor(t7,or(carry,t7))))) = or(t4,xor(t7,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,not(not(xor(t7,or(carry,t7))))),or(t4,not(not(xor(t7,or(carry,t7)))))) ),[1,1],$fot(xor(t7,or(carry,t7)))]]) ).
cnf(refute_0_12047,plain,
( not(not(xor(t7,or(carry,t7)))) != xor(t7,or(carry,t7))
| or(t4,not(not(xor(t7,or(carry,t7))))) = or(t4,xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(or(t4,not(not(xor(t7,or(carry,t7))))),or(t4,not(not(xor(t7,or(carry,t7)))))) )],[refute_0_12045,refute_0_12046]) ).
cnf(refute_0_12048,plain,
or(t4,not(not(xor(t7,or(carry,t7))))) = or(t4,xor(t7,or(carry,t7))),
inference(resolve,[$cnf( $equal(not(not(xor(t7,or(carry,t7)))),xor(t7,or(carry,t7))) )],[refute_0_12044,refute_0_12047]) ).
cnf(refute_0_12049,plain,
( or(t4,not(not(xor(t7,or(carry,t7))))) != or(t4,not(xor(cin,or(carry,t7))))
| or(t4,not(not(xor(t7,or(carry,t7))))) != or(t4,xor(t7,or(carry,t7)))
| or(t4,xor(t7,or(carry,t7))) = or(t4,not(xor(cin,or(carry,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,not(not(xor(t7,or(carry,t7))))),or(t4,not(xor(cin,or(carry,t7))))) ),[0],$fot(or(t4,xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_12050,plain,
( or(t4,not(not(xor(t7,or(carry,t7))))) != or(t4,not(xor(cin,or(carry,t7))))
| or(t4,xor(t7,or(carry,t7))) = or(t4,not(xor(cin,or(carry,t7)))) ),
inference(resolve,[$cnf( $equal(or(t4,not(not(xor(t7,or(carry,t7))))),or(t4,xor(t7,or(carry,t7)))) )],[refute_0_12048,refute_0_12049]) ).
cnf(refute_0_12051,plain,
or(t4,xor(t7,or(carry,t7))) = or(t4,not(xor(cin,or(carry,t7)))),
inference(resolve,[$cnf( $equal(or(t4,not(not(xor(t7,or(carry,t7))))),or(t4,not(xor(cin,or(carry,t7))))) )],[refute_0_12043,refute_0_12050]) ).
cnf(refute_0_12052,plain,
or(t4,xor(t7,or(carry,t7))) = or(t4,xor(t7,or(carry,t7))),
introduced(tautology,[refl,[$fot(or(t4,xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_12053,plain,
( or(t4,xor(t7,or(carry,t7))) != or(t4,xor(t7,or(carry,t7)))
| xor(t7,or(carry,t7)) != xor(t7,or(a,t7))
| or(t4,xor(t7,or(carry,t7))) = or(t4,xor(t7,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,xor(t7,or(carry,t7))),or(t4,xor(t7,or(carry,t7)))) ),[1,1],$fot(xor(t7,or(a,t7)))]]) ).
cnf(refute_0_12054,plain,
( xor(t7,or(carry,t7)) != xor(t7,or(a,t7))
| or(t4,xor(t7,or(carry,t7))) = or(t4,xor(t7,or(a,t7))) ),
inference(resolve,[$cnf( $equal(or(t4,xor(t7,or(carry,t7))),or(t4,xor(t7,or(carry,t7)))) )],[refute_0_12052,refute_0_12053]) ).
cnf(refute_0_12055,plain,
or(t4,xor(t7,or(carry,t7))) = or(t4,xor(t7,or(a,t7))),
inference(resolve,[$cnf( $equal(xor(t7,or(carry,t7)),xor(t7,or(a,t7))) )],[refute_0_7858,refute_0_12054]) ).
cnf(refute_0_12056,plain,
( or(t4,xor(t7,or(carry,t7))) != or(t4,not(xor(cin,or(carry,t7))))
| or(t4,xor(t7,or(carry,t7))) != or(t4,xor(t7,or(a,t7)))
| or(t4,xor(t7,or(a,t7))) = or(t4,not(xor(cin,or(carry,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,xor(t7,or(carry,t7))),or(t4,not(xor(cin,or(carry,t7))))) ),[0],$fot(or(t4,xor(t7,or(a,t7))))]]) ).
cnf(refute_0_12057,plain,
( or(t4,xor(t7,or(carry,t7))) != or(t4,not(xor(cin,or(carry,t7))))
| or(t4,xor(t7,or(a,t7))) = or(t4,not(xor(cin,or(carry,t7)))) ),
inference(resolve,[$cnf( $equal(or(t4,xor(t7,or(carry,t7))),or(t4,xor(t7,or(a,t7)))) )],[refute_0_12055,refute_0_12056]) ).
cnf(refute_0_12058,plain,
xor(cin,or(carry,t7)) = xor(cin,or(carry,t7)),
introduced(tautology,[refl,[$fot(xor(cin,or(carry,t7)))]]) ).
cnf(refute_0_12059,plain,
( or(carry,t7) != or(a,t7)
| xor(cin,or(carry,t7)) != xor(cin,or(carry,t7))
| xor(cin,or(carry,t7)) = xor(cin,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,or(carry,t7)),xor(cin,or(carry,t7))) ),[1,1],$fot(or(a,t7))]]) ).
cnf(refute_0_12060,plain,
( or(carry,t7) != or(a,t7)
| xor(cin,or(carry,t7)) = xor(cin,or(a,t7)) ),
inference(resolve,[$cnf( $equal(xor(cin,or(carry,t7)),xor(cin,or(carry,t7))) )],[refute_0_12058,refute_0_12059]) ).
cnf(refute_0_12061,plain,
xor(cin,or(carry,t7)) = xor(cin,or(a,t7)),
inference(resolve,[$cnf( $equal(or(carry,t7),or(a,t7)) )],[refute_0_2743,refute_0_12060]) ).
cnf(refute_0_12062,plain,
not(xor(cin,or(carry,t7))) = not(xor(cin,or(carry,t7))),
introduced(tautology,[refl,[$fot(not(xor(cin,or(carry,t7))))]]) ).
cnf(refute_0_12063,plain,
( not(xor(cin,or(carry,t7))) != not(xor(cin,or(carry,t7)))
| xor(cin,or(carry,t7)) != xor(cin,or(a,t7))
| not(xor(cin,or(carry,t7))) = not(xor(cin,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(cin,or(carry,t7))),not(xor(cin,or(carry,t7)))) ),[1,0],$fot(xor(cin,or(a,t7)))]]) ).
cnf(refute_0_12064,plain,
( xor(cin,or(carry,t7)) != xor(cin,or(a,t7))
| not(xor(cin,or(carry,t7))) = not(xor(cin,or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(xor(cin,or(carry,t7))),not(xor(cin,or(carry,t7)))) )],[refute_0_12062,refute_0_12063]) ).
cnf(refute_0_12065,plain,
not(xor(cin,or(carry,t7))) = not(xor(cin,or(a,t7))),
inference(resolve,[$cnf( $equal(xor(cin,or(carry,t7)),xor(cin,or(a,t7))) )],[refute_0_12061,refute_0_12064]) ).
cnf(refute_0_12066,plain,
or(t4,not(xor(cin,or(carry,t7)))) = or(t4,not(xor(cin,or(carry,t7)))),
introduced(tautology,[refl,[$fot(or(t4,not(xor(cin,or(carry,t7)))))]]) ).
cnf(refute_0_12067,plain,
( not(xor(cin,or(carry,t7))) != not(xor(cin,or(a,t7)))
| or(t4,not(xor(cin,or(carry,t7)))) != or(t4,not(xor(cin,or(carry,t7))))
| or(t4,not(xor(cin,or(carry,t7)))) = or(t4,not(xor(cin,or(a,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,not(xor(cin,or(carry,t7)))),or(t4,not(xor(cin,or(carry,t7))))) ),[1,1],$fot(not(xor(cin,or(a,t7))))]]) ).
cnf(refute_0_12068,plain,
( not(xor(cin,or(carry,t7))) != not(xor(cin,or(a,t7)))
| or(t4,not(xor(cin,or(carry,t7)))) = or(t4,not(xor(cin,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(or(t4,not(xor(cin,or(carry,t7)))),or(t4,not(xor(cin,or(carry,t7))))) )],[refute_0_12066,refute_0_12067]) ).
cnf(refute_0_12069,plain,
or(t4,not(xor(cin,or(carry,t7)))) = or(t4,not(xor(cin,or(a,t7)))),
inference(resolve,[$cnf( $equal(not(xor(cin,or(carry,t7))),not(xor(cin,or(a,t7)))) )],[refute_0_12065,refute_0_12068]) ).
cnf(refute_0_12070,plain,
( or(t4,not(xor(cin,or(carry,t7)))) != or(t4,not(xor(cin,or(a,t7))))
| or(t4,xor(t7,or(a,t7))) != or(t4,not(xor(cin,or(carry,t7))))
| or(t4,xor(t7,or(a,t7))) = or(t4,not(xor(cin,or(a,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,xor(t7,or(a,t7))),or(t4,not(xor(cin,or(carry,t7))))) ),[1],$fot(or(t4,not(xor(cin,or(a,t7)))))]]) ).
cnf(refute_0_12071,plain,
( or(t4,xor(t7,or(a,t7))) != or(t4,not(xor(cin,or(carry,t7))))
| or(t4,xor(t7,or(a,t7))) = or(t4,not(xor(cin,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(or(t4,not(xor(cin,or(carry,t7)))),or(t4,not(xor(cin,or(a,t7))))) )],[refute_0_12069,refute_0_12070]) ).
cnf(refute_0_12072,plain,
( or(t4,xor(t7,or(carry,t7))) != or(t4,not(xor(cin,or(carry,t7))))
| or(t4,xor(t7,or(a,t7))) = or(t4,not(xor(cin,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(or(t4,xor(t7,or(a,t7))),or(t4,not(xor(cin,or(carry,t7))))) )],[refute_0_12057,refute_0_12071]) ).
cnf(refute_0_12073,plain,
or(t4,xor(t7,or(a,t7))) = or(t4,not(xor(cin,or(a,t7)))),
inference(resolve,[$cnf( $equal(or(t4,xor(t7,or(carry,t7))),or(t4,not(xor(cin,or(carry,t7))))) )],[refute_0_12051,refute_0_12072]) ).
cnf(refute_0_12074,plain,
or(t4,xor(t7,or(a,t7))) = or(t4,xor(t7,or(a,t7))),
introduced(tautology,[refl,[$fot(or(t4,xor(t7,or(a,t7))))]]) ).
cnf(refute_0_12075,plain,
( or(t4,xor(t7,or(a,t7))) != or(t4,xor(t7,or(a,t7)))
| xor(t7,or(a,t7)) != and(carry,not(t7))
| or(t4,xor(t7,or(a,t7))) = or(t4,and(carry,not(t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,xor(t7,or(a,t7))),or(t4,xor(t7,or(a,t7)))) ),[1,1],$fot(and(carry,not(t7)))]]) ).
cnf(refute_0_12076,plain,
( xor(t7,or(a,t7)) != and(carry,not(t7))
| or(t4,xor(t7,or(a,t7))) = or(t4,and(carry,not(t7))) ),
inference(resolve,[$cnf( $equal(or(t4,xor(t7,or(a,t7))),or(t4,xor(t7,or(a,t7)))) )],[refute_0_12074,refute_0_12075]) ).
cnf(refute_0_12077,plain,
or(t4,xor(t7,or(a,t7))) = or(t4,and(carry,not(t7))),
inference(resolve,[$cnf( $equal(xor(t7,or(a,t7)),and(carry,not(t7))) )],[refute_0_8428,refute_0_12076]) ).
cnf(refute_0_12078,plain,
( or(t4,xor(t7,or(a,t7))) != or(t4,and(carry,not(t7)))
| or(t4,xor(t7,or(a,t7))) != or(t4,not(xor(cin,or(a,t7))))
| or(t4,and(carry,not(t7))) = or(t4,not(xor(cin,or(a,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,xor(t7,or(a,t7))),or(t4,not(xor(cin,or(a,t7))))) ),[0],$fot(or(t4,and(carry,not(t7))))]]) ).
cnf(refute_0_12079,plain,
( or(t4,xor(t7,or(a,t7))) != or(t4,not(xor(cin,or(a,t7))))
| or(t4,and(carry,not(t7))) = or(t4,not(xor(cin,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(or(t4,xor(t7,or(a,t7))),or(t4,and(carry,not(t7)))) )],[refute_0_12077,refute_0_12078]) ).
cnf(refute_0_12080,plain,
not(and(not(xor(t7,or(carry,t7))),t5)) = not(and(t5,not(xor(t7,or(carry,t7))))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(t5)),bind(X_32,$fot(not(xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_12081,plain,
( and(t5,not(xor(t7,or(carry,t7)))) != xor(cin,or(carry,t7))
| not(and(not(xor(t7,or(carry,t7))),t5)) != not(and(t5,not(xor(t7,or(carry,t7)))))
| not(and(not(xor(t7,or(carry,t7))),t5)) = not(xor(cin,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(xor(t7,or(carry,t7))),t5)),not(and(t5,not(xor(t7,or(carry,t7)))))) ),[1,0],$fot(xor(cin,or(carry,t7)))]]) ).
cnf(refute_0_12082,plain,
( not(and(not(xor(t7,or(carry,t7))),t5)) != not(and(t5,not(xor(t7,or(carry,t7)))))
| not(and(not(xor(t7,or(carry,t7))),t5)) = not(xor(cin,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t7,or(carry,t7)))),xor(cin,or(carry,t7))) )],[refute_0_12040,refute_0_12081]) ).
cnf(refute_0_12083,plain,
not(and(not(xor(t7,or(carry,t7))),t5)) = not(xor(cin,or(carry,t7))),
inference(resolve,[$cnf( $equal(not(and(not(xor(t7,or(carry,t7))),t5)),not(and(t5,not(xor(t7,or(carry,t7)))))) )],[refute_0_12080,refute_0_12082]) ).
cnf(refute_0_12084,plain,
or(xor(t7,or(carry,t7)),not(t5)) = or(not(t5),xor(t7,or(carry,t7))),
inference(subst,[],[refute_0_5:[bind(X,$fot(not(t5))),bind(Y,$fot(xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_12085,plain,
not(and(not(xor(t7,or(carry,t7))),t5)) = or(xor(t7,or(carry,t7)),not(t5)),
inference(subst,[],[refute_0_787:[bind(X,$fot(xor(t7,or(carry,t7)))),bind(X_32,$fot(t5))]]) ).
cnf(refute_0_12086,plain,
( not(and(not(xor(t7,or(carry,t7))),t5)) != or(xor(t7,or(carry,t7)),not(t5))
| or(xor(t7,or(carry,t7)),not(t5)) != or(not(t5),xor(t7,or(carry,t7)))
| not(and(not(xor(t7,or(carry,t7))),t5)) = or(not(t5),xor(t7,or(carry,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(not(xor(t7,or(carry,t7))),t5)))),bind(Y0,$fot(or(xor(t7,or(carry,t7)),not(t5)))),bind(Z0,$fot(or(not(t5),xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_12087,plain,
( or(xor(t7,or(carry,t7)),not(t5)) != or(not(t5),xor(t7,or(carry,t7)))
| not(and(not(xor(t7,or(carry,t7))),t5)) = or(not(t5),xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(not(and(not(xor(t7,or(carry,t7))),t5)),or(xor(t7,or(carry,t7)),not(t5))) )],[refute_0_12085,refute_0_12086]) ).
cnf(refute_0_12088,plain,
not(and(not(xor(t7,or(carry,t7))),t5)) = or(not(t5),xor(t7,or(carry,t7))),
inference(resolve,[$cnf( $equal(or(xor(t7,or(carry,t7)),not(t5)),or(not(t5),xor(t7,or(carry,t7)))) )],[refute_0_12084,refute_0_12087]) ).
cnf(refute_0_12089,plain,
( not(and(not(xor(t7,or(carry,t7))),t5)) != not(xor(cin,or(carry,t7)))
| not(and(not(xor(t7,or(carry,t7))),t5)) != or(not(t5),xor(t7,or(carry,t7)))
| or(not(t5),xor(t7,or(carry,t7))) = not(xor(cin,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(xor(t7,or(carry,t7))),t5)),not(xor(cin,or(carry,t7)))) ),[0],$fot(or(not(t5),xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_12090,plain,
( not(and(not(xor(t7,or(carry,t7))),t5)) != not(xor(cin,or(carry,t7)))
| or(not(t5),xor(t7,or(carry,t7))) = not(xor(cin,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(not(and(not(xor(t7,or(carry,t7))),t5)),or(not(t5),xor(t7,or(carry,t7)))) )],[refute_0_12088,refute_0_12089]) ).
cnf(refute_0_12091,plain,
or(not(t5),xor(t7,or(carry,t7))) = not(xor(cin,or(carry,t7))),
inference(resolve,[$cnf( $equal(not(and(not(xor(t7,or(carry,t7))),t5)),not(xor(cin,or(carry,t7)))) )],[refute_0_12083,refute_0_12090]) ).
cnf(refute_0_12092,plain,
or(not(t5),xor(t7,or(carry,t7))) = or(not(t5),xor(t7,or(carry,t7))),
introduced(tautology,[refl,[$fot(or(not(t5),xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_12093,plain,
( or(not(t5),xor(t7,or(carry,t7))) != or(not(t5),xor(t7,or(carry,t7)))
| xor(t7,or(carry,t7)) != xor(t7,or(a,t7))
| or(not(t5),xor(t7,or(carry,t7))) = or(not(t5),xor(t7,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t5),xor(t7,or(carry,t7))),or(not(t5),xor(t7,or(carry,t7)))) ),[1,1],$fot(xor(t7,or(a,t7)))]]) ).
cnf(refute_0_12094,plain,
( xor(t7,or(carry,t7)) != xor(t7,or(a,t7))
| or(not(t5),xor(t7,or(carry,t7))) = or(not(t5),xor(t7,or(a,t7))) ),
inference(resolve,[$cnf( $equal(or(not(t5),xor(t7,or(carry,t7))),or(not(t5),xor(t7,or(carry,t7)))) )],[refute_0_12092,refute_0_12093]) ).
cnf(refute_0_12095,plain,
or(not(t5),xor(t7,or(carry,t7))) = or(not(t5),xor(t7,or(a,t7))),
inference(resolve,[$cnf( $equal(xor(t7,or(carry,t7)),xor(t7,or(a,t7))) )],[refute_0_7858,refute_0_12094]) ).
cnf(refute_0_12096,plain,
( or(not(t5),xor(t7,or(carry,t7))) != not(xor(cin,or(carry,t7)))
| or(not(t5),xor(t7,or(carry,t7))) != or(not(t5),xor(t7,or(a,t7)))
| or(not(t5),xor(t7,or(a,t7))) = not(xor(cin,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t5),xor(t7,or(carry,t7))),not(xor(cin,or(carry,t7)))) ),[0],$fot(or(not(t5),xor(t7,or(a,t7))))]]) ).
cnf(refute_0_12097,plain,
( or(not(t5),xor(t7,or(carry,t7))) != not(xor(cin,or(carry,t7)))
| or(not(t5),xor(t7,or(a,t7))) = not(xor(cin,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(or(not(t5),xor(t7,or(carry,t7))),or(not(t5),xor(t7,or(a,t7)))) )],[refute_0_12095,refute_0_12096]) ).
cnf(refute_0_12098,plain,
( not(xor(cin,or(carry,t7))) != not(xor(cin,or(a,t7)))
| or(not(t5),xor(t7,or(a,t7))) != not(xor(cin,or(carry,t7)))
| or(not(t5),xor(t7,or(a,t7))) = not(xor(cin,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t5),xor(t7,or(a,t7))),not(xor(cin,or(carry,t7)))) ),[1],$fot(not(xor(cin,or(a,t7))))]]) ).
cnf(refute_0_12099,plain,
( or(not(t5),xor(t7,or(a,t7))) != not(xor(cin,or(carry,t7)))
| or(not(t5),xor(t7,or(a,t7))) = not(xor(cin,or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(xor(cin,or(carry,t7))),not(xor(cin,or(a,t7)))) )],[refute_0_12065,refute_0_12098]) ).
cnf(refute_0_12100,plain,
( or(not(t5),xor(t7,or(carry,t7))) != not(xor(cin,or(carry,t7)))
| or(not(t5),xor(t7,or(a,t7))) = not(xor(cin,or(a,t7))) ),
inference(resolve,[$cnf( $equal(or(not(t5),xor(t7,or(a,t7))),not(xor(cin,or(carry,t7)))) )],[refute_0_12097,refute_0_12099]) ).
cnf(refute_0_12101,plain,
or(not(t5),xor(t7,or(a,t7))) = not(xor(cin,or(a,t7))),
inference(resolve,[$cnf( $equal(or(not(t5),xor(t7,or(carry,t7))),not(xor(cin,or(carry,t7)))) )],[refute_0_12091,refute_0_12100]) ).
cnf(refute_0_12102,plain,
( not(xor(t4,t7)) != or(sum,t4)
| or(t4,not(t7)) != not(xor(t4,t7))
| or(t4,not(t7)) = or(sum,t4) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,not(t7)),not(xor(t4,t7))) ),[1],$fot(or(sum,t4))]]) ).
cnf(refute_0_12103,plain,
( or(t4,not(t7)) != not(xor(t4,t7))
| or(t4,not(t7)) = or(sum,t4) ),
inference(resolve,[$cnf( $equal(not(xor(t4,t7)),or(sum,t4)) )],[refute_0_1173,refute_0_12102]) ).
cnf(refute_0_12104,plain,
or(t4,not(t7)) = or(sum,t4),
inference(resolve,[$cnf( $equal(or(t4,not(t7)),not(xor(t4,t7))) )],[refute_0_791,refute_0_12103]) ).
cnf(refute_0_12105,plain,
( or(sum,t4) != or(cin,sum)
| or(t4,not(t7)) != or(sum,t4)
| or(t4,not(t7)) = or(cin,sum) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,not(t7)),or(sum,t4)) ),[1],$fot(or(cin,sum))]]) ).
cnf(refute_0_12106,plain,
( or(t4,not(t7)) != or(sum,t4)
| or(t4,not(t7)) = or(cin,sum) ),
inference(resolve,[$cnf( $equal(or(sum,t4),or(cin,sum)) )],[refute_0_2534,refute_0_12105]) ).
cnf(refute_0_12107,plain,
or(t4,not(t7)) = or(cin,sum),
inference(resolve,[$cnf( $equal(or(t4,not(t7)),or(sum,t4)) )],[refute_0_12104,refute_0_12106]) ).
cnf(refute_0_12108,plain,
and(carry,or(t4,not(t7))) = and(carry,or(t4,not(t7))),
introduced(tautology,[refl,[$fot(and(carry,or(t4,not(t7))))]]) ).
cnf(refute_0_12109,plain,
( and(carry,or(t4,not(t7))) != and(carry,or(t4,not(t7)))
| or(t4,not(t7)) != or(cin,sum)
| and(carry,or(t4,not(t7))) = and(carry,or(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,or(t4,not(t7))),and(carry,or(t4,not(t7)))) ),[1,1],$fot(or(cin,sum))]]) ).
cnf(refute_0_12110,plain,
( or(t4,not(t7)) != or(cin,sum)
| and(carry,or(t4,not(t7))) = and(carry,or(cin,sum)) ),
inference(resolve,[$cnf( $equal(and(carry,or(t4,not(t7))),and(carry,or(t4,not(t7)))) )],[refute_0_12108,refute_0_12109]) ).
cnf(refute_0_12111,plain,
and(carry,or(t4,not(t7))) = and(carry,or(cin,sum)),
inference(resolve,[$cnf( $equal(or(t4,not(t7)),or(cin,sum)) )],[refute_0_12107,refute_0_12110]) ).
cnf(refute_0_12112,plain,
and(carry,or(t4,X_754)) = or(and(carry,t4),and(carry,X_754)),
inference(subst,[],[or_distributive:[bind(X,$fot(carry)),bind(Y,$fot(t4)),bind(Z,$fot(X_754))]]) ).
cnf(refute_0_12113,plain,
and(not(t5),t4) = and(carry,and(t1,t4)),
inference(subst,[],[refute_0_11700:[bind(Z,$fot(t4))]]) ).
cnf(refute_0_12114,plain,
and(t4,or(t1,t4)) = t4,
inference(subst,[],[refute_0_214:[bind(X_19,$fot(t4)),bind(X_20,$fot(t1))]]) ).
cnf(refute_0_12115,plain,
( and(t4,or(t1,t4)) != t4
| or(t1,t4) != t1
| and(t4,t1) = t4 ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,or(t1,t4)),t4) ),[0,1],$fot(t1)]]) ).
cnf(refute_0_12116,plain,
( and(t4,or(t1,t4)) != t4
| and(t4,t1) = t4 ),
inference(resolve,[$cnf( $equal(or(t1,t4),t1) )],[refute_0_7881,refute_0_12115]) ).
cnf(refute_0_12117,plain,
and(t4,t1) = t4,
inference(resolve,[$cnf( $equal(and(t4,or(t1,t4)),t4) )],[refute_0_12114,refute_0_12116]) ).
cnf(refute_0_12118,plain,
and(t4,t1) = and(t1,t4),
inference(subst,[],[refute_0_116:[bind(X,$fot(t1)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_12119,plain,
( and(t4,t1) != and(t1,t4)
| and(t4,t1) != t4
| and(t1,t4) = t4 ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,t1),t4) ),[0],$fot(and(t1,t4))]]) ).
cnf(refute_0_12120,plain,
( and(t4,t1) != t4
| and(t1,t4) = t4 ),
inference(resolve,[$cnf( $equal(and(t4,t1),and(t1,t4)) )],[refute_0_12118,refute_0_12119]) ).
cnf(refute_0_12121,plain,
and(t1,t4) = t4,
inference(resolve,[$cnf( $equal(and(t4,t1),t4) )],[refute_0_12117,refute_0_12120]) ).
cnf(refute_0_12122,plain,
( and(not(t5),t4) != and(carry,and(t1,t4))
| and(t1,t4) != t4
| and(not(t5),t4) = and(carry,t4) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),t4),and(carry,and(t1,t4))) ),[1,1],$fot(t4)]]) ).
cnf(refute_0_12123,plain,
( and(not(t5),t4) != and(carry,and(t1,t4))
| and(not(t5),t4) = and(carry,t4) ),
inference(resolve,[$cnf( $equal(and(t1,t4),t4) )],[refute_0_12121,refute_0_12122]) ).
cnf(refute_0_12124,plain,
and(not(t5),t4) = and(carry,t4),
inference(resolve,[$cnf( $equal(and(not(t5),t4),and(carry,and(t1,t4))) )],[refute_0_12113,refute_0_12123]) ).
cnf(refute_0_12125,plain,
( and(not(t5),t4) != and(carry,t4)
| and(not(t5),t4) != not(t5)
| not(t5) = and(carry,t4) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),t4),and(carry,t4)) ),[0],$fot(not(t5))]]) ).
cnf(refute_0_12126,plain,
( and(not(t5),t4) != and(carry,t4)
| not(t5) = and(carry,t4) ),
inference(resolve,[$cnf( $equal(and(not(t5),t4),not(t5)) )],[refute_0_958,refute_0_12125]) ).
cnf(refute_0_12127,plain,
not(t5) = and(carry,t4),
inference(resolve,[$cnf( $equal(and(not(t5),t4),and(carry,t4)) )],[refute_0_12124,refute_0_12126]) ).
cnf(refute_0_12128,plain,
( not(t5) != and(carry,t4)
| and(carry,t4) = not(t5) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t5))),bind(Y0,$fot(and(carry,t4)))]]) ).
cnf(refute_0_12129,plain,
and(carry,t4) = not(t5),
inference(resolve,[$cnf( $equal(not(t5),and(carry,t4)) )],[refute_0_12127,refute_0_12128]) ).
cnf(refute_0_12130,plain,
( and(carry,or(t4,X_754)) != or(and(carry,t4),and(carry,X_754))
| and(carry,t4) != not(t5)
| and(carry,or(t4,X_754)) = or(not(t5),and(carry,X_754)) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,or(t4,X_754)),or(and(carry,t4),and(carry,X_754))) ),[1,0],$fot(not(t5))]]) ).
cnf(refute_0_12131,plain,
( and(carry,or(t4,X_754)) != or(and(carry,t4),and(carry,X_754))
| and(carry,or(t4,X_754)) = or(not(t5),and(carry,X_754)) ),
inference(resolve,[$cnf( $equal(and(carry,t4),not(t5)) )],[refute_0_12129,refute_0_12130]) ).
cnf(refute_0_12132,plain,
and(carry,or(t4,X_754)) = or(not(t5),and(carry,X_754)),
inference(resolve,[$cnf( $equal(and(carry,or(t4,X_754)),or(and(carry,t4),and(carry,X_754))) )],[refute_0_12112,refute_0_12131]) ).
cnf(refute_0_12133,plain,
and(carry,or(X_753,t1)) = or(and(carry,X_753),and(carry,t1)),
inference(subst,[],[or_distributive:[bind(X,$fot(carry)),bind(Y,$fot(X_753)),bind(Z,$fot(t1))]]) ).
cnf(refute_0_12134,plain,
( and(carry,or(X_753,t1)) != or(and(carry,X_753),and(carry,t1))
| and(carry,t1) != not(t5)
| and(carry,or(X_753,t1)) = or(and(carry,X_753),not(t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,or(X_753,t1)),or(and(carry,X_753),and(carry,t1))) ),[1,1],$fot(not(t5))]]) ).
cnf(refute_0_12135,plain,
( and(carry,or(X_753,t1)) != or(and(carry,X_753),and(carry,t1))
| and(carry,or(X_753,t1)) = or(and(carry,X_753),not(t5)) ),
inference(resolve,[$cnf( $equal(and(carry,t1),not(t5)) )],[refute_0_11697,refute_0_12134]) ).
cnf(refute_0_12136,plain,
and(carry,or(X_753,t1)) = or(and(carry,X_753),not(t5)),
inference(resolve,[$cnf( $equal(and(carry,or(X_753,t1)),or(and(carry,X_753),and(carry,t1))) )],[refute_0_12133,refute_0_12135]) ).
cnf(refute_0_12137,plain,
and(carry,or(X_753,not(t5))) = or(and(carry,X_753),and(carry,not(t5))),
inference(subst,[],[or_distributive:[bind(X,$fot(carry)),bind(Y,$fot(X_753)),bind(Z,$fot(not(t5)))]]) ).
cnf(refute_0_12138,plain,
( and(carry,not(t5)) != not(t5)
| and(carry,or(X_753,not(t5))) != or(and(carry,X_753),and(carry,not(t5)))
| and(carry,or(X_753,not(t5))) = or(and(carry,X_753),not(t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,or(X_753,not(t5))),or(and(carry,X_753),and(carry,not(t5)))) ),[1,1],$fot(not(t5))]]) ).
cnf(refute_0_12139,plain,
( and(carry,or(X_753,not(t5))) != or(and(carry,X_753),and(carry,not(t5)))
| and(carry,or(X_753,not(t5))) = or(and(carry,X_753),not(t5)) ),
inference(resolve,[$cnf( $equal(and(carry,not(t5)),not(t5)) )],[refute_0_4317,refute_0_12138]) ).
cnf(refute_0_12140,plain,
and(carry,or(X_753,not(t5))) = or(and(carry,X_753),not(t5)),
inference(resolve,[$cnf( $equal(and(carry,or(X_753,not(t5))),or(and(carry,X_753),and(carry,not(t5)))) )],[refute_0_12137,refute_0_12139]) ).
cnf(refute_0_12141,plain,
or(and(carry,X_753),not(t5)) = or(not(t5),and(carry,X_753)),
inference(subst,[],[refute_0_5:[bind(X,$fot(not(t5))),bind(Y,$fot(and(carry,X_753)))]]) ).
cnf(refute_0_12142,plain,
( and(carry,or(X_753,not(t5))) != or(and(carry,X_753),not(t5))
| or(and(carry,X_753),not(t5)) != or(not(t5),and(carry,X_753))
| and(carry,or(X_753,not(t5))) = or(not(t5),and(carry,X_753)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(carry,or(X_753,not(t5))),or(not(t5),and(carry,X_753))) ),[0],$fot(or(and(carry,X_753),not(t5)))]]) ).
cnf(refute_0_12143,plain,
( and(carry,or(X_753,not(t5))) != or(and(carry,X_753),not(t5))
| and(carry,or(X_753,not(t5))) = or(not(t5),and(carry,X_753)) ),
inference(resolve,[$cnf( $equal(or(and(carry,X_753),not(t5)),or(not(t5),and(carry,X_753))) )],[refute_0_12141,refute_0_12142]) ).
cnf(refute_0_12144,plain,
and(carry,or(X_753,not(t5))) = or(not(t5),and(carry,X_753)),
inference(resolve,[$cnf( $equal(and(carry,or(X_753,not(t5))),or(and(carry,X_753),not(t5))) )],[refute_0_12140,refute_0_12143]) ).
cnf(refute_0_12145,plain,
( and(carry,or(X_753,not(t5))) != or(not(t5),and(carry,X_753))
| or(not(t5),and(carry,X_753)) = and(carry,or(X_753,not(t5))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(carry,or(X_753,not(t5))))),bind(Y0,$fot(or(not(t5),and(carry,X_753))))]]) ).
cnf(refute_0_12146,plain,
or(not(t5),and(carry,X_753)) = and(carry,or(X_753,not(t5))),
inference(resolve,[$cnf( $equal(and(carry,or(X_753,not(t5))),or(not(t5),and(carry,X_753))) )],[refute_0_12144,refute_0_12145]) ).
cnf(refute_0_12147,plain,
( or(and(carry,X_753),not(t5)) != or(not(t5),and(carry,X_753))
| or(not(t5),and(carry,X_753)) != and(carry,or(X_753,not(t5)))
| or(and(carry,X_753),not(t5)) = and(carry,or(X_753,not(t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(carry,X_753),not(t5)))),bind(Y0,$fot(or(not(t5),and(carry,X_753)))),bind(Z0,$fot(and(carry,or(X_753,not(t5)))))]]) ).
cnf(refute_0_12148,plain,
( or(not(t5),and(carry,X_753)) != and(carry,or(X_753,not(t5)))
| or(and(carry,X_753),not(t5)) = and(carry,or(X_753,not(t5))) ),
inference(resolve,[$cnf( $equal(or(and(carry,X_753),not(t5)),or(not(t5),and(carry,X_753))) )],[refute_0_12141,refute_0_12147]) ).
cnf(refute_0_12149,plain,
or(and(carry,X_753),not(t5)) = and(carry,or(X_753,not(t5))),
inference(resolve,[$cnf( $equal(or(not(t5),and(carry,X_753)),and(carry,or(X_753,not(t5)))) )],[refute_0_12146,refute_0_12148]) ).
cnf(refute_0_12150,plain,
( and(carry,or(X_753,t1)) != or(and(carry,X_753),not(t5))
| or(and(carry,X_753),not(t5)) != and(carry,or(X_753,not(t5)))
| and(carry,or(X_753,t1)) = and(carry,or(X_753,not(t5))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(carry,or(X_753,t1)),and(carry,or(X_753,not(t5)))) ),[0],$fot(or(and(carry,X_753),not(t5)))]]) ).
cnf(refute_0_12151,plain,
( and(carry,or(X_753,t1)) != or(and(carry,X_753),not(t5))
| and(carry,or(X_753,t1)) = and(carry,or(X_753,not(t5))) ),
inference(resolve,[$cnf( $equal(or(and(carry,X_753),not(t5)),and(carry,or(X_753,not(t5)))) )],[refute_0_12149,refute_0_12150]) ).
cnf(refute_0_12152,plain,
and(carry,or(X_753,t1)) = and(carry,or(X_753,not(t5))),
inference(resolve,[$cnf( $equal(and(carry,or(X_753,t1)),or(and(carry,X_753),not(t5))) )],[refute_0_12136,refute_0_12151]) ).
cnf(refute_0_12153,plain,
( and(carry,or(X_753,t1)) != and(carry,or(X_753,not(t5)))
| and(carry,or(X_753,not(t5))) = and(carry,or(X_753,t1)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(carry,or(X_753,t1)))),bind(Y0,$fot(and(carry,or(X_753,not(t5)))))]]) ).
cnf(refute_0_12154,plain,
and(carry,or(X_753,not(t5))) = and(carry,or(X_753,t1)),
inference(resolve,[$cnf( $equal(and(carry,or(X_753,t1)),and(carry,or(X_753,not(t5)))) )],[refute_0_12152,refute_0_12153]) ).
cnf(refute_0_12155,plain,
and(carry,or(X_754,not(t5))) = and(carry,or(X_754,t1)),
inference(subst,[],[refute_0_12154:[bind(X_753,$fot(X_754))]]) ).
cnf(refute_0_12156,plain,
or(not(t5),and(carry,X_754)) = and(carry,or(X_754,not(t5))),
inference(subst,[],[refute_0_12146:[bind(X_753,$fot(X_754))]]) ).
cnf(refute_0_12157,plain,
( and(carry,or(X_754,not(t5))) != and(carry,or(X_754,t1))
| or(not(t5),and(carry,X_754)) != and(carry,or(X_754,not(t5)))
| or(not(t5),and(carry,X_754)) = and(carry,or(X_754,t1)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t5),and(carry,X_754)))),bind(Y0,$fot(and(carry,or(X_754,not(t5))))),bind(Z0,$fot(and(carry,or(X_754,t1))))]]) ).
cnf(refute_0_12158,plain,
( and(carry,or(X_754,not(t5))) != and(carry,or(X_754,t1))
| or(not(t5),and(carry,X_754)) = and(carry,or(X_754,t1)) ),
inference(resolve,[$cnf( $equal(or(not(t5),and(carry,X_754)),and(carry,or(X_754,not(t5)))) )],[refute_0_12156,refute_0_12157]) ).
cnf(refute_0_12159,plain,
or(not(t5),and(carry,X_754)) = and(carry,or(X_754,t1)),
inference(resolve,[$cnf( $equal(and(carry,or(X_754,not(t5))),and(carry,or(X_754,t1))) )],[refute_0_12155,refute_0_12158]) ).
cnf(refute_0_12160,plain,
( and(carry,or(t4,X_754)) != or(not(t5),and(carry,X_754))
| or(not(t5),and(carry,X_754)) != and(carry,or(X_754,t1))
| and(carry,or(t4,X_754)) = and(carry,or(X_754,t1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(carry,or(t4,X_754)),and(carry,or(X_754,t1))) ),[0],$fot(or(not(t5),and(carry,X_754)))]]) ).
cnf(refute_0_12161,plain,
( and(carry,or(t4,X_754)) != or(not(t5),and(carry,X_754))
| and(carry,or(t4,X_754)) = and(carry,or(X_754,t1)) ),
inference(resolve,[$cnf( $equal(or(not(t5),and(carry,X_754)),and(carry,or(X_754,t1))) )],[refute_0_12159,refute_0_12160]) ).
cnf(refute_0_12162,plain,
and(carry,or(t4,X_754)) = and(carry,or(X_754,t1)),
inference(resolve,[$cnf( $equal(and(carry,or(t4,X_754)),or(not(t5),and(carry,X_754))) )],[refute_0_12132,refute_0_12161]) ).
cnf(refute_0_12163,plain,
( and(carry,or(t4,X_754)) != and(carry,or(X_754,t1))
| and(carry,or(X_754,t1)) = and(carry,or(t4,X_754)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(carry,or(t4,X_754)))),bind(Y0,$fot(and(carry,or(X_754,t1))))]]) ).
cnf(refute_0_12164,plain,
and(carry,or(X_754,t1)) = and(carry,or(t4,X_754)),
inference(resolve,[$cnf( $equal(and(carry,or(t4,X_754)),and(carry,or(X_754,t1))) )],[refute_0_12162,refute_0_12163]) ).
cnf(refute_0_12165,plain,
and(carry,or(not(t7),t1)) = and(carry,or(t4,not(t7))),
inference(subst,[],[refute_0_12164:[bind(X_754,$fot(not(t7)))]]) ).
cnf(refute_0_12166,plain,
( and(carry,or(not(t7),t1)) != and(carry,or(t4,not(t7)))
| and(carry,or(t4,not(t7))) != and(carry,or(cin,sum))
| and(carry,or(not(t7),t1)) = and(carry,or(cin,sum)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(carry,or(not(t7),t1)))),bind(Y0,$fot(and(carry,or(t4,not(t7))))),bind(Z0,$fot(and(carry,or(cin,sum))))]]) ).
cnf(refute_0_12167,plain,
( and(carry,or(t4,not(t7))) != and(carry,or(cin,sum))
| and(carry,or(not(t7),t1)) = and(carry,or(cin,sum)) ),
inference(resolve,[$cnf( $equal(and(carry,or(not(t7),t1)),and(carry,or(t4,not(t7)))) )],[refute_0_12165,refute_0_12166]) ).
cnf(refute_0_12168,plain,
and(carry,or(not(t7),t1)) = and(carry,or(cin,sum)),
inference(resolve,[$cnf( $equal(and(carry,or(t4,not(t7))),and(carry,or(cin,sum))) )],[refute_0_12111,refute_0_12167]) ).
cnf(refute_0_12169,plain,
( and(carry,or(X_753,not(t5))) != and(carry,or(X_753,t1))
| and(carry,or(X_753,not(t5))) != or(not(t5),and(carry,X_753))
| and(carry,or(X_753,t1)) = or(not(t5),and(carry,X_753)) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,or(X_753,not(t5))),or(not(t5),and(carry,X_753))) ),[0],$fot(and(carry,or(X_753,t1)))]]) ).
cnf(refute_0_12170,plain,
( and(carry,or(X_753,not(t5))) != or(not(t5),and(carry,X_753))
| and(carry,or(X_753,t1)) = or(not(t5),and(carry,X_753)) ),
inference(resolve,[$cnf( $equal(and(carry,or(X_753,not(t5))),and(carry,or(X_753,t1))) )],[refute_0_12154,refute_0_12169]) ).
cnf(refute_0_12171,plain,
and(carry,or(X_753,t1)) = or(not(t5),and(carry,X_753)),
inference(resolve,[$cnf( $equal(and(carry,or(X_753,not(t5))),or(not(t5),and(carry,X_753))) )],[refute_0_12144,refute_0_12170]) ).
cnf(refute_0_12172,plain,
( and(carry,or(X_753,t1)) != or(not(t5),and(carry,X_753))
| or(not(t5),and(carry,X_753)) = and(carry,or(X_753,t1)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(carry,or(X_753,t1)))),bind(Y0,$fot(or(not(t5),and(carry,X_753))))]]) ).
cnf(refute_0_12173,plain,
or(not(t5),and(carry,X_753)) = and(carry,or(X_753,t1)),
inference(resolve,[$cnf( $equal(and(carry,or(X_753,t1)),or(not(t5),and(carry,X_753))) )],[refute_0_12171,refute_0_12172]) ).
cnf(refute_0_12174,plain,
or(not(t5),and(carry,not(t7))) = and(carry,or(not(t7),t1)),
inference(subst,[],[refute_0_12173:[bind(X_753,$fot(not(t7)))]]) ).
cnf(refute_0_12175,plain,
( and(carry,or(not(t7),t1)) != and(carry,or(cin,sum))
| or(not(t5),and(carry,not(t7))) != and(carry,or(not(t7),t1))
| or(not(t5),and(carry,not(t7))) = and(carry,or(cin,sum)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t5),and(carry,not(t7))))),bind(Y0,$fot(and(carry,or(not(t7),t1)))),bind(Z0,$fot(and(carry,or(cin,sum))))]]) ).
cnf(refute_0_12176,plain,
( and(carry,or(not(t7),t1)) != and(carry,or(cin,sum))
| or(not(t5),and(carry,not(t7))) = and(carry,or(cin,sum)) ),
inference(resolve,[$cnf( $equal(or(not(t5),and(carry,not(t7))),and(carry,or(not(t7),t1))) )],[refute_0_12174,refute_0_12175]) ).
cnf(refute_0_12177,plain,
or(not(t5),and(carry,not(t7))) = and(carry,or(cin,sum)),
inference(resolve,[$cnf( $equal(and(carry,or(not(t7),t1)),and(carry,or(cin,sum))) )],[refute_0_12168,refute_0_12176]) ).
cnf(refute_0_12178,plain,
or(not(t5),xor(t7,or(a,t7))) = or(not(t5),xor(t7,or(a,t7))),
introduced(tautology,[refl,[$fot(or(not(t5),xor(t7,or(a,t7))))]]) ).
cnf(refute_0_12179,plain,
( or(not(t5),xor(t7,or(a,t7))) != or(not(t5),xor(t7,or(a,t7)))
| xor(t7,or(a,t7)) != and(carry,not(t7))
| or(not(t5),xor(t7,or(a,t7))) = or(not(t5),and(carry,not(t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t5),xor(t7,or(a,t7))),or(not(t5),xor(t7,or(a,t7)))) ),[1,1],$fot(and(carry,not(t7)))]]) ).
cnf(refute_0_12180,plain,
( xor(t7,or(a,t7)) != and(carry,not(t7))
| or(not(t5),xor(t7,or(a,t7))) = or(not(t5),and(carry,not(t7))) ),
inference(resolve,[$cnf( $equal(or(not(t5),xor(t7,or(a,t7))),or(not(t5),xor(t7,or(a,t7)))) )],[refute_0_12178,refute_0_12179]) ).
cnf(refute_0_12181,plain,
or(not(t5),xor(t7,or(a,t7))) = or(not(t5),and(carry,not(t7))),
inference(resolve,[$cnf( $equal(xor(t7,or(a,t7)),and(carry,not(t7))) )],[refute_0_8428,refute_0_12180]) ).
cnf(refute_0_12182,plain,
( or(not(t5),and(carry,not(t7))) != and(carry,or(cin,sum))
| or(not(t5),xor(t7,or(a,t7))) != or(not(t5),and(carry,not(t7)))
| or(not(t5),xor(t7,or(a,t7))) = and(carry,or(cin,sum)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t5),xor(t7,or(a,t7))))),bind(Y0,$fot(or(not(t5),and(carry,not(t7))))),bind(Z0,$fot(and(carry,or(cin,sum))))]]) ).
cnf(refute_0_12183,plain,
( or(not(t5),and(carry,not(t7))) != and(carry,or(cin,sum))
| or(not(t5),xor(t7,or(a,t7))) = and(carry,or(cin,sum)) ),
inference(resolve,[$cnf( $equal(or(not(t5),xor(t7,or(a,t7))),or(not(t5),and(carry,not(t7)))) )],[refute_0_12181,refute_0_12182]) ).
cnf(refute_0_12184,plain,
or(not(t5),xor(t7,or(a,t7))) = and(carry,or(cin,sum)),
inference(resolve,[$cnf( $equal(or(not(t5),and(carry,not(t7))),and(carry,or(cin,sum))) )],[refute_0_12177,refute_0_12183]) ).
cnf(refute_0_12185,plain,
( or(not(t5),xor(t7,or(a,t7))) != and(carry,or(cin,sum))
| or(not(t5),xor(t7,or(a,t7))) != not(xor(cin,or(a,t7)))
| and(carry,or(cin,sum)) = not(xor(cin,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t5),xor(t7,or(a,t7))),not(xor(cin,or(a,t7)))) ),[0],$fot(and(carry,or(cin,sum)))]]) ).
cnf(refute_0_12186,plain,
( or(not(t5),xor(t7,or(a,t7))) != not(xor(cin,or(a,t7)))
| and(carry,or(cin,sum)) = not(xor(cin,or(a,t7))) ),
inference(resolve,[$cnf( $equal(or(not(t5),xor(t7,or(a,t7))),and(carry,or(cin,sum))) )],[refute_0_12184,refute_0_12185]) ).
cnf(refute_0_12187,plain,
and(carry,or(cin,sum)) = not(xor(cin,or(a,t7))),
inference(resolve,[$cnf( $equal(or(not(t5),xor(t7,or(a,t7))),not(xor(cin,or(a,t7)))) )],[refute_0_12101,refute_0_12186]) ).
cnf(refute_0_12188,plain,
( and(carry,or(cin,sum)) != not(xor(cin,or(a,t7)))
| not(xor(cin,or(a,t7))) = and(carry,or(cin,sum)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(carry,or(cin,sum)))),bind(Y0,$fot(not(xor(cin,or(a,t7)))))]]) ).
cnf(refute_0_12189,plain,
not(xor(cin,or(a,t7))) = and(carry,or(cin,sum)),
inference(resolve,[$cnf( $equal(and(carry,or(cin,sum)),not(xor(cin,or(a,t7)))) )],[refute_0_12187,refute_0_12188]) ).
cnf(refute_0_12190,plain,
or(t4,not(xor(cin,or(a,t7)))) = or(t4,not(xor(cin,or(a,t7)))),
introduced(tautology,[refl,[$fot(or(t4,not(xor(cin,or(a,t7)))))]]) ).
cnf(refute_0_12191,plain,
( not(xor(cin,or(a,t7))) != and(carry,or(cin,sum))
| or(t4,not(xor(cin,or(a,t7)))) != or(t4,not(xor(cin,or(a,t7))))
| or(t4,not(xor(cin,or(a,t7)))) = or(t4,and(carry,or(cin,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,not(xor(cin,or(a,t7)))),or(t4,not(xor(cin,or(a,t7))))) ),[1,1],$fot(and(carry,or(cin,sum)))]]) ).
cnf(refute_0_12192,plain,
( not(xor(cin,or(a,t7))) != and(carry,or(cin,sum))
| or(t4,not(xor(cin,or(a,t7)))) = or(t4,and(carry,or(cin,sum))) ),
inference(resolve,[$cnf( $equal(or(t4,not(xor(cin,or(a,t7)))),or(t4,not(xor(cin,or(a,t7))))) )],[refute_0_12190,refute_0_12191]) ).
cnf(refute_0_12193,plain,
or(t4,not(xor(cin,or(a,t7)))) = or(t4,and(carry,or(cin,sum))),
inference(resolve,[$cnf( $equal(not(xor(cin,or(a,t7))),and(carry,or(cin,sum))) )],[refute_0_12189,refute_0_12192]) ).
cnf(refute_0_12194,plain,
( or(t4,and(carry,not(t7))) != or(t4,not(xor(cin,or(a,t7))))
| or(t4,not(xor(cin,or(a,t7)))) != or(t4,and(carry,or(cin,sum)))
| or(t4,and(carry,not(t7))) = or(t4,and(carry,or(cin,sum))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(t4,and(carry,not(t7))),or(t4,and(carry,or(cin,sum)))) ),[0],$fot(or(t4,not(xor(cin,or(a,t7)))))]]) ).
cnf(refute_0_12195,plain,
( or(t4,and(carry,not(t7))) != or(t4,not(xor(cin,or(a,t7))))
| or(t4,and(carry,not(t7))) = or(t4,and(carry,or(cin,sum))) ),
inference(resolve,[$cnf( $equal(or(t4,not(xor(cin,or(a,t7)))),or(t4,and(carry,or(cin,sum)))) )],[refute_0_12193,refute_0_12194]) ).
cnf(refute_0_12196,plain,
( or(t4,xor(t7,or(a,t7))) != or(t4,not(xor(cin,or(a,t7))))
| or(t4,and(carry,not(t7))) = or(t4,and(carry,or(cin,sum))) ),
inference(resolve,[$cnf( $equal(or(t4,and(carry,not(t7))),or(t4,not(xor(cin,or(a,t7))))) )],[refute_0_12079,refute_0_12195]) ).
cnf(refute_0_12197,plain,
or(t4,and(carry,not(t7))) = or(t4,and(carry,or(cin,sum))),
inference(resolve,[$cnf( $equal(or(t4,xor(t7,or(a,t7))),or(t4,not(xor(cin,or(a,t7))))) )],[refute_0_12073,refute_0_12196]) ).
cnf(refute_0_12198,plain,
( or(t4,xor(t7,or(a,t7))) != or(t4,and(carry,not(t7)))
| or(t4,xor(t7,or(a,t7))) != xor(cin,xor(t6,or(a,t7)))
| or(t4,and(carry,not(t7))) = xor(cin,xor(t6,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,xor(t7,or(a,t7))),xor(cin,xor(t6,or(a,t7)))) ),[0],$fot(or(t4,and(carry,not(t7))))]]) ).
cnf(refute_0_12199,plain,
( or(t4,xor(t7,or(a,t7))) != xor(cin,xor(t6,or(a,t7)))
| or(t4,and(carry,not(t7))) = xor(cin,xor(t6,or(a,t7))) ),
inference(resolve,[$cnf( $equal(or(t4,xor(t7,or(a,t7))),or(t4,and(carry,not(t7)))) )],[refute_0_12077,refute_0_12198]) ).
cnf(refute_0_12200,plain,
xor(cin,xor(t6,or(a,t7))) = xor(cin,xor(t6,or(a,t7))),
introduced(tautology,[refl,[$fot(xor(cin,xor(t6,or(a,t7))))]]) ).
cnf(refute_0_12201,plain,
( xor(cin,xor(t6,or(a,t7))) != xor(cin,xor(t6,or(a,t7)))
| xor(t6,or(a,t7)) != and(sum,t1)
| xor(cin,xor(t6,or(a,t7))) = xor(cin,and(sum,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t6,or(a,t7))),xor(cin,xor(t6,or(a,t7)))) ),[1,1],$fot(and(sum,t1))]]) ).
cnf(refute_0_12202,plain,
( xor(t6,or(a,t7)) != and(sum,t1)
| xor(cin,xor(t6,or(a,t7))) = xor(cin,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t6,or(a,t7))),xor(cin,xor(t6,or(a,t7)))) )],[refute_0_12200,refute_0_12201]) ).
cnf(refute_0_12203,plain,
xor(cin,xor(t6,or(a,t7))) = xor(cin,and(sum,t1)),
inference(resolve,[$cnf( $equal(xor(t6,or(a,t7)),and(sum,t1)) )],[refute_0_8447,refute_0_12202]) ).
cnf(refute_0_12204,plain,
( or(t4,and(carry,not(t7))) != xor(cin,xor(t6,or(a,t7)))
| xor(cin,xor(t6,or(a,t7))) != xor(cin,and(sum,t1))
| or(t4,and(carry,not(t7))) = xor(cin,and(sum,t1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(t4,and(carry,not(t7))),xor(cin,and(sum,t1))) ),[0],$fot(xor(cin,xor(t6,or(a,t7))))]]) ).
cnf(refute_0_12205,plain,
( or(t4,and(carry,not(t7))) != xor(cin,xor(t6,or(a,t7)))
| or(t4,and(carry,not(t7))) = xor(cin,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t6,or(a,t7))),xor(cin,and(sum,t1))) )],[refute_0_12203,refute_0_12204]) ).
cnf(refute_0_12206,plain,
( or(t4,xor(t7,or(a,t7))) != xor(cin,xor(t6,or(a,t7)))
| or(t4,and(carry,not(t7))) = xor(cin,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(or(t4,and(carry,not(t7))),xor(cin,xor(t6,or(a,t7)))) )],[refute_0_12199,refute_0_12205]) ).
cnf(refute_0_12207,plain,
or(t4,and(carry,not(t7))) = xor(cin,and(sum,t1)),
inference(resolve,[$cnf( $equal(or(t4,xor(t7,or(a,t7))),xor(cin,xor(t6,or(a,t7)))) )],[refute_0_11414,refute_0_12206]) ).
cnf(refute_0_12208,plain,
( or(t4,and(carry,not(t7))) != or(t4,and(carry,or(cin,sum)))
| or(t4,and(carry,not(t7))) != xor(cin,and(sum,t1))
| xor(cin,and(sum,t1)) = or(t4,and(carry,or(cin,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,and(carry,not(t7))),or(t4,and(carry,or(cin,sum)))) ),[0],$fot(xor(cin,and(sum,t1)))]]) ).
cnf(refute_0_12209,plain,
( or(t4,and(carry,not(t7))) != or(t4,and(carry,or(cin,sum)))
| xor(cin,and(sum,t1)) = or(t4,and(carry,or(cin,sum))) ),
inference(resolve,[$cnf( $equal(or(t4,and(carry,not(t7))),xor(cin,and(sum,t1))) )],[refute_0_12207,refute_0_12208]) ).
cnf(refute_0_12210,plain,
xor(cin,and(sum,t1)) = or(t4,and(carry,or(cin,sum))),
inference(resolve,[$cnf( $equal(or(t4,and(carry,not(t7))),or(t4,and(carry,or(cin,sum)))) )],[refute_0_12197,refute_0_12209]) ).
cnf(refute_0_12211,plain,
and(t5,not(xor(t7,or(carry,t7)))) = and(t5,not(xor(t7,or(carry,t7)))),
introduced(tautology,[refl,[$fot(and(t5,not(xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_12212,plain,
( and(t5,not(xor(t7,or(carry,t7)))) != and(t5,not(xor(t7,or(carry,t7))))
| not(xor(t7,or(carry,t7))) != not(xor(t7,or(a,t7)))
| and(t5,not(xor(t7,or(carry,t7)))) = and(t5,not(xor(t7,or(a,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,not(xor(t7,or(carry,t7)))),and(t5,not(xor(t7,or(carry,t7))))) ),[1,1],$fot(not(xor(t7,or(a,t7))))]]) ).
cnf(refute_0_12213,plain,
( not(xor(t7,or(carry,t7))) != not(xor(t7,or(a,t7)))
| and(t5,not(xor(t7,or(carry,t7)))) = and(t5,not(xor(t7,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t7,or(carry,t7)))),and(t5,not(xor(t7,or(carry,t7))))) )],[refute_0_12211,refute_0_12212]) ).
cnf(refute_0_12214,plain,
and(t5,not(xor(t7,or(carry,t7)))) = and(t5,not(xor(t7,or(a,t7)))),
inference(resolve,[$cnf( $equal(not(xor(t7,or(carry,t7))),not(xor(t7,or(a,t7)))) )],[refute_0_7862,refute_0_12213]) ).
cnf(refute_0_12215,plain,
( and(t5,not(xor(t7,or(carry,t7)))) != and(t5,not(xor(t7,or(a,t7))))
| and(t5,not(xor(t7,or(carry,t7)))) != xor(cin,or(carry,t7))
| and(t5,not(xor(t7,or(a,t7)))) = xor(cin,or(carry,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,not(xor(t7,or(carry,t7)))),xor(cin,or(carry,t7))) ),[0],$fot(and(t5,not(xor(t7,or(a,t7)))))]]) ).
cnf(refute_0_12216,plain,
( and(t5,not(xor(t7,or(carry,t7)))) != xor(cin,or(carry,t7))
| and(t5,not(xor(t7,or(a,t7)))) = xor(cin,or(carry,t7)) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t7,or(carry,t7)))),and(t5,not(xor(t7,or(a,t7))))) )],[refute_0_12214,refute_0_12215]) ).
cnf(refute_0_12217,plain,
( and(t5,not(xor(t7,or(a,t7)))) != xor(cin,or(carry,t7))
| xor(cin,or(carry,t7)) != xor(cin,or(a,t7))
| and(t5,not(xor(t7,or(a,t7)))) = xor(cin,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t5,not(xor(t7,or(a,t7)))),xor(cin,or(a,t7))) ),[0],$fot(xor(cin,or(carry,t7)))]]) ).
cnf(refute_0_12218,plain,
( and(t5,not(xor(t7,or(a,t7)))) != xor(cin,or(carry,t7))
| and(t5,not(xor(t7,or(a,t7)))) = xor(cin,or(a,t7)) ),
inference(resolve,[$cnf( $equal(xor(cin,or(carry,t7)),xor(cin,or(a,t7))) )],[refute_0_12061,refute_0_12217]) ).
cnf(refute_0_12219,plain,
( and(t5,not(xor(t7,or(carry,t7)))) != xor(cin,or(carry,t7))
| and(t5,not(xor(t7,or(a,t7)))) = xor(cin,or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t7,or(a,t7)))),xor(cin,or(carry,t7))) )],[refute_0_12216,refute_0_12218]) ).
cnf(refute_0_12220,plain,
and(t5,not(xor(t7,or(a,t7)))) = xor(cin,or(a,t7)),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t7,or(carry,t7)))),xor(cin,or(carry,t7))) )],[refute_0_12040,refute_0_12219]) ).
cnf(refute_0_12221,plain,
and(t5,not(xor(t7,or(a,t7)))) = and(t5,not(xor(t7,or(a,t7)))),
introduced(tautology,[refl,[$fot(and(t5,not(xor(t7,or(a,t7)))))]]) ).
cnf(refute_0_12222,plain,
( and(t5,not(xor(t7,or(a,t7)))) != and(t5,not(xor(t7,or(a,t7))))
| not(xor(t7,or(a,t7))) != or(t7,not(carry))
| and(t5,not(xor(t7,or(a,t7)))) = and(t5,or(t7,not(carry))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,not(xor(t7,or(a,t7)))),and(t5,not(xor(t7,or(a,t7))))) ),[1,1],$fot(or(t7,not(carry)))]]) ).
cnf(refute_0_12223,plain,
( not(xor(t7,or(a,t7))) != or(t7,not(carry))
| and(t5,not(xor(t7,or(a,t7)))) = and(t5,or(t7,not(carry))) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t7,or(a,t7)))),and(t5,not(xor(t7,or(a,t7))))) )],[refute_0_12221,refute_0_12222]) ).
cnf(refute_0_12224,plain,
and(t5,not(xor(t7,or(a,t7)))) = and(t5,or(t7,not(carry))),
inference(resolve,[$cnf( $equal(not(xor(t7,or(a,t7))),or(t7,not(carry))) )],[refute_0_8435,refute_0_12223]) ).
cnf(refute_0_12225,plain,
( and(t5,not(xor(t7,or(a,t7)))) != and(t5,or(t7,not(carry)))
| and(t5,not(xor(t7,or(a,t7)))) != xor(cin,or(a,t7))
| and(t5,or(t7,not(carry))) = xor(cin,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,not(xor(t7,or(a,t7)))),xor(cin,or(a,t7))) ),[0],$fot(and(t5,or(t7,not(carry))))]]) ).
cnf(refute_0_12226,plain,
( and(t5,not(xor(t7,or(a,t7)))) != xor(cin,or(a,t7))
| and(t5,or(t7,not(carry))) = xor(cin,or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t7,or(a,t7)))),and(t5,or(t7,not(carry)))) )],[refute_0_12224,refute_0_12225]) ).
cnf(refute_0_12227,plain,
and(t5,or(t7,not(carry))) = xor(cin,or(a,t7)),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t7,or(a,t7)))),xor(cin,or(a,t7))) )],[refute_0_12220,refute_0_12226]) ).
cnf(refute_0_12228,plain,
and(t5,or(t7,not(carry))) = and(t5,or(t7,not(carry))),
introduced(tautology,[refl,[$fot(and(t5,or(t7,not(carry))))]]) ).
cnf(refute_0_12229,plain,
( and(t5,or(t7,not(carry))) != and(t5,or(t7,not(carry)))
| or(t7,not(carry)) != or(t1,t7)
| and(t5,or(t7,not(carry))) = and(t5,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,or(t7,not(carry))),and(t5,or(t7,not(carry)))) ),[1,1],$fot(or(t1,t7))]]) ).
cnf(refute_0_12230,plain,
( or(t7,not(carry)) != or(t1,t7)
| and(t5,or(t7,not(carry))) = and(t5,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(t5,or(t7,not(carry))),and(t5,or(t7,not(carry)))) )],[refute_0_12228,refute_0_12229]) ).
cnf(refute_0_12231,plain,
and(t5,or(t7,not(carry))) = and(t5,or(t1,t7)),
inference(resolve,[$cnf( $equal(or(t7,not(carry)),or(t1,t7)) )],[refute_0_11951,refute_0_12230]) ).
cnf(refute_0_12232,plain,
( and(t5,or(t7,not(carry))) != and(t5,or(t1,t7))
| and(t5,or(t7,not(carry))) != xor(cin,or(a,t7))
| and(t5,or(t1,t7)) = xor(cin,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,or(t7,not(carry))),xor(cin,or(a,t7))) ),[0],$fot(and(t5,or(t1,t7)))]]) ).
cnf(refute_0_12233,plain,
( and(t5,or(t7,not(carry))) != xor(cin,or(a,t7))
| and(t5,or(t1,t7)) = xor(cin,or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(t5,or(t7,not(carry))),and(t5,or(t1,t7))) )],[refute_0_12231,refute_0_12232]) ).
cnf(refute_0_12234,plain,
and(t5,or(t1,t7)) = xor(cin,or(a,t7)),
inference(resolve,[$cnf( $equal(and(t5,or(t7,not(carry))),xor(cin,or(a,t7))) )],[refute_0_12227,refute_0_12233]) ).
cnf(refute_0_12235,plain,
( and(t5,or(t1,t7)) != xor(cin,or(a,t7))
| xor(cin,or(a,t7)) = and(t5,or(t1,t7)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t5,or(t1,t7)))),bind(Y0,$fot(xor(cin,or(a,t7))))]]) ).
cnf(refute_0_12236,plain,
xor(cin,or(a,t7)) = and(t5,or(t1,t7)),
inference(resolve,[$cnf( $equal(and(t5,or(t1,t7)),xor(cin,or(a,t7))) )],[refute_0_12234,refute_0_12235]) ).
cnf(refute_0_12237,plain,
not(xor(cin,or(a,t7))) = not(xor(cin,or(a,t7))),
introduced(tautology,[refl,[$fot(not(xor(cin,or(a,t7))))]]) ).
cnf(refute_0_12238,plain,
( not(xor(cin,or(a,t7))) != not(xor(cin,or(a,t7)))
| xor(cin,or(a,t7)) != and(t5,or(t1,t7))
| not(xor(cin,or(a,t7))) = not(and(t5,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(cin,or(a,t7))),not(xor(cin,or(a,t7)))) ),[1,0],$fot(and(t5,or(t1,t7)))]]) ).
cnf(refute_0_12239,plain,
( xor(cin,or(a,t7)) != and(t5,or(t1,t7))
| not(xor(cin,or(a,t7))) = not(and(t5,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(not(xor(cin,or(a,t7))),not(xor(cin,or(a,t7)))) )],[refute_0_12237,refute_0_12238]) ).
cnf(refute_0_12240,plain,
not(xor(cin,or(a,t7))) = not(and(t5,or(t1,t7))),
inference(resolve,[$cnf( $equal(xor(cin,or(a,t7)),and(t5,or(t1,t7))) )],[refute_0_12236,refute_0_12239]) ).
cnf(refute_0_12241,plain,
( and(carry,or(cin,sum)) != not(xor(cin,or(a,t7)))
| not(xor(cin,or(a,t7))) != not(and(t5,or(t1,t7)))
| and(carry,or(cin,sum)) = not(and(t5,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(carry,or(cin,sum)),not(and(t5,or(t1,t7)))) ),[0],$fot(not(xor(cin,or(a,t7))))]]) ).
cnf(refute_0_12242,plain,
( and(carry,or(cin,sum)) != not(xor(cin,or(a,t7)))
| and(carry,or(cin,sum)) = not(and(t5,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(not(xor(cin,or(a,t7))),not(and(t5,or(t1,t7)))) )],[refute_0_12240,refute_0_12241]) ).
cnf(refute_0_12243,plain,
and(carry,or(cin,sum)) = not(and(t5,or(t1,t7))),
inference(resolve,[$cnf( $equal(and(carry,or(cin,sum)),not(xor(cin,or(a,t7)))) )],[refute_0_12187,refute_0_12242]) ).
cnf(refute_0_12244,plain,
not(not(and(carry_def,cin))) = and(carry_def,cin),
inference(subst,[],[not_involution:[bind(X,$fot(and(carry_def,cin)))]]) ).
cnf(refute_0_12245,plain,
xor(t5,xor(t7,or(a,t7))) = xor(cin,or(a,t7)),
inference(subst,[],[refute_0_8910:[bind(Z,$fot(or(a,t7)))]]) ).
cnf(refute_0_12246,plain,
( and(carry,not(t7)) != not(or(t1,t7))
| xor(t7,or(a,t7)) != and(carry,not(t7))
| xor(t7,or(a,t7)) = not(or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t7,or(a,t7)),and(carry,not(t7))) ),[1],$fot(not(or(t1,t7)))]]) ).
cnf(refute_0_12247,plain,
( xor(t7,or(a,t7)) != and(carry,not(t7))
| xor(t7,or(a,t7)) = not(or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(carry,not(t7)),not(or(t1,t7))) )],[refute_0_10975,refute_0_12246]) ).
cnf(refute_0_12248,plain,
xor(t7,or(a,t7)) = not(or(t1,t7)),
inference(resolve,[$cnf( $equal(xor(t7,or(a,t7)),and(carry,not(t7))) )],[refute_0_8428,refute_0_12247]) ).
cnf(refute_0_12249,plain,
( xor(t5,xor(t7,or(a,t7))) != xor(cin,or(a,t7))
| xor(t7,or(a,t7)) != not(or(t1,t7))
| xor(t5,not(or(t1,t7))) = xor(cin,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t5,xor(t7,or(a,t7))),xor(cin,or(a,t7))) ),[0,1],$fot(not(or(t1,t7)))]]) ).
cnf(refute_0_12250,plain,
( xor(t5,xor(t7,or(a,t7))) != xor(cin,or(a,t7))
| xor(t5,not(or(t1,t7))) = xor(cin,or(a,t7)) ),
inference(resolve,[$cnf( $equal(xor(t7,or(a,t7)),not(or(t1,t7))) )],[refute_0_12248,refute_0_12249]) ).
cnf(refute_0_12251,plain,
xor(t5,not(or(t1,t7))) = xor(cin,or(a,t7)),
inference(resolve,[$cnf( $equal(xor(t5,xor(t7,or(a,t7))),xor(cin,or(a,t7))) )],[refute_0_12245,refute_0_12250]) ).
cnf(refute_0_12252,plain,
or(and(cin,not(xor(t7,or(t1,and(t3,t7))))),and(not(cin),xor(t7,or(t1,and(t3,t7))))) = xor(cin,xor(t7,or(t1,and(t3,t7)))),
inference(subst,[],[refute_0_9:[bind(X,$fot(cin)),bind(Y,$fot(xor(t7,or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_12253,plain,
and(not(cin),xor(t7,or(t1,and(t3,t7)))) = and(t5,and(t7,xor(t7,or(t1,and(t3,t7))))),
inference(subst,[],[refute_0_4419:[bind(Z,$fot(xor(t7,or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_12254,plain,
( and(not(cin),xor(t7,or(t1,and(t3,t7)))) != and(t5,and(t7,xor(t7,or(t1,and(t3,t7)))))
| and(t7,xor(t7,or(t1,and(t3,t7)))) != ll0
| and(not(cin),xor(t7,or(t1,and(t3,t7)))) = and(t5,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(cin),xor(t7,or(t1,and(t3,t7)))),and(t5,and(t7,xor(t7,or(t1,and(t3,t7)))))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_12255,plain,
( and(not(cin),xor(t7,or(t1,and(t3,t7)))) != and(t5,and(t7,xor(t7,or(t1,and(t3,t7)))))
| and(not(cin),xor(t7,or(t1,and(t3,t7)))) = and(t5,ll0) ),
inference(resolve,[$cnf( $equal(and(t7,xor(t7,or(t1,and(t3,t7)))),ll0) )],[refute_0_5653,refute_0_12254]) ).
cnf(refute_0_12256,plain,
and(not(cin),xor(t7,or(t1,and(t3,t7)))) = and(t5,ll0),
inference(resolve,[$cnf( $equal(and(not(cin),xor(t7,or(t1,and(t3,t7)))),and(t5,and(t7,xor(t7,or(t1,and(t3,t7)))))) )],[refute_0_12253,refute_0_12255]) ).
cnf(refute_0_12257,plain,
and(t5,ll0) = ll0,
inference(subst,[],[and_boundedness:[bind(X,$fot(t5))]]) ).
cnf(refute_0_12258,plain,
( and(not(cin),xor(t7,or(t1,and(t3,t7)))) != and(t5,ll0)
| and(t5,ll0) != ll0
| and(not(cin),xor(t7,or(t1,and(t3,t7)))) = ll0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(cin),xor(t7,or(t1,and(t3,t7)))),ll0) ),[0],$fot(and(t5,ll0))]]) ).
cnf(refute_0_12259,plain,
( and(not(cin),xor(t7,or(t1,and(t3,t7)))) != and(t5,ll0)
| and(not(cin),xor(t7,or(t1,and(t3,t7)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(t5,ll0),ll0) )],[refute_0_12257,refute_0_12258]) ).
cnf(refute_0_12260,plain,
and(not(cin),xor(t7,or(t1,and(t3,t7)))) = ll0,
inference(resolve,[$cnf( $equal(and(not(cin),xor(t7,or(t1,and(t3,t7)))),and(t5,ll0)) )],[refute_0_12256,refute_0_12259]) ).
cnf(refute_0_12261,plain,
( and(not(cin),xor(t7,or(t1,and(t3,t7)))) != ll0
| or(and(cin,not(xor(t7,or(t1,and(t3,t7))))),and(not(cin),xor(t7,or(t1,and(t3,t7))))) != xor(cin,xor(t7,or(t1,and(t3,t7))))
| or(and(cin,not(xor(t7,or(t1,and(t3,t7))))),ll0) = xor(cin,xor(t7,or(t1,and(t3,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(cin,not(xor(t7,or(t1,and(t3,t7))))),and(not(cin),xor(t7,or(t1,and(t3,t7))))),xor(cin,xor(t7,or(t1,and(t3,t7))))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_12262,plain,
( or(and(cin,not(xor(t7,or(t1,and(t3,t7))))),and(not(cin),xor(t7,or(t1,and(t3,t7))))) != xor(cin,xor(t7,or(t1,and(t3,t7))))
| or(and(cin,not(xor(t7,or(t1,and(t3,t7))))),ll0) = xor(cin,xor(t7,or(t1,and(t3,t7)))) ),
inference(resolve,[$cnf( $equal(and(not(cin),xor(t7,or(t1,and(t3,t7)))),ll0) )],[refute_0_12260,refute_0_12261]) ).
cnf(refute_0_12263,plain,
or(and(cin,not(xor(t7,or(t1,and(t3,t7))))),ll0) = xor(cin,xor(t7,or(t1,and(t3,t7)))),
inference(resolve,[$cnf( $equal(or(and(cin,not(xor(t7,or(t1,and(t3,t7))))),and(not(cin),xor(t7,or(t1,and(t3,t7))))),xor(cin,xor(t7,or(t1,and(t3,t7))))) )],[refute_0_12252,refute_0_12262]) ).
cnf(refute_0_12264,plain,
or(and(cin,not(xor(t7,or(t1,and(t3,t7))))),ll0) = and(cin,not(xor(t7,or(t1,and(t3,t7))))),
inference(subst,[],[or_identity:[bind(X,$fot(and(cin,not(xor(t7,or(t1,and(t3,t7)))))))]]) ).
cnf(refute_0_12265,plain,
( or(and(cin,not(xor(t7,or(t1,and(t3,t7))))),ll0) != and(cin,not(xor(t7,or(t1,and(t3,t7)))))
| or(and(cin,not(xor(t7,or(t1,and(t3,t7))))),ll0) != xor(cin,xor(t7,or(t1,and(t3,t7))))
| and(cin,not(xor(t7,or(t1,and(t3,t7))))) = xor(cin,xor(t7,or(t1,and(t3,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(cin,not(xor(t7,or(t1,and(t3,t7))))),ll0),xor(cin,xor(t7,or(t1,and(t3,t7))))) ),[0],$fot(and(cin,not(xor(t7,or(t1,and(t3,t7))))))]]) ).
cnf(refute_0_12266,plain,
( or(and(cin,not(xor(t7,or(t1,and(t3,t7))))),ll0) != xor(cin,xor(t7,or(t1,and(t3,t7))))
| and(cin,not(xor(t7,or(t1,and(t3,t7))))) = xor(cin,xor(t7,or(t1,and(t3,t7)))) ),
inference(resolve,[$cnf( $equal(or(and(cin,not(xor(t7,or(t1,and(t3,t7))))),ll0),and(cin,not(xor(t7,or(t1,and(t3,t7)))))) )],[refute_0_12264,refute_0_12265]) ).
cnf(refute_0_12267,plain,
xor(cin,xor(t7,or(t1,and(t3,t7)))) = xor(t5,or(t1,and(t3,t7))),
inference(subst,[],[refute_0_11873:[bind(Z,$fot(or(t1,and(t3,t7))))]]) ).
cnf(refute_0_12268,plain,
( and(cin,not(xor(t7,or(t1,and(t3,t7))))) != xor(cin,xor(t7,or(t1,and(t3,t7))))
| xor(cin,xor(t7,or(t1,and(t3,t7)))) != xor(t5,or(t1,and(t3,t7)))
| and(cin,not(xor(t7,or(t1,and(t3,t7))))) = xor(t5,or(t1,and(t3,t7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(cin,not(xor(t7,or(t1,and(t3,t7))))),xor(t5,or(t1,and(t3,t7)))) ),[0],$fot(xor(cin,xor(t7,or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_12269,plain,
( and(cin,not(xor(t7,or(t1,and(t3,t7))))) != xor(cin,xor(t7,or(t1,and(t3,t7))))
| and(cin,not(xor(t7,or(t1,and(t3,t7))))) = xor(t5,or(t1,and(t3,t7))) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t7,or(t1,and(t3,t7)))),xor(t5,or(t1,and(t3,t7)))) )],[refute_0_12267,refute_0_12268]) ).
cnf(refute_0_12270,plain,
( or(and(cin,not(xor(t7,or(t1,and(t3,t7))))),ll0) != xor(cin,xor(t7,or(t1,and(t3,t7))))
| and(cin,not(xor(t7,or(t1,and(t3,t7))))) = xor(t5,or(t1,and(t3,t7))) ),
inference(resolve,[$cnf( $equal(and(cin,not(xor(t7,or(t1,and(t3,t7))))),xor(cin,xor(t7,or(t1,and(t3,t7))))) )],[refute_0_12266,refute_0_12269]) ).
cnf(refute_0_12271,plain,
and(cin,not(xor(t7,or(t1,and(t3,t7))))) = xor(t5,or(t1,and(t3,t7))),
inference(resolve,[$cnf( $equal(or(and(cin,not(xor(t7,or(t1,and(t3,t7))))),ll0),xor(cin,xor(t7,or(t1,and(t3,t7))))) )],[refute_0_12263,refute_0_12270]) ).
cnf(refute_0_12272,plain,
and(cin,not(xor(t7,or(t1,and(t3,t7))))) = and(cin,not(xor(t7,or(t1,and(t3,t7))))),
introduced(tautology,[refl,[$fot(and(cin,not(xor(t7,or(t1,and(t3,t7))))))]]) ).
cnf(refute_0_12273,plain,
( and(cin,not(xor(t7,or(t1,and(t3,t7))))) != and(cin,not(xor(t7,or(t1,and(t3,t7)))))
| not(xor(t7,or(t1,and(t3,t7)))) != not(xor(t7,or(t1,t7)))
| and(cin,not(xor(t7,or(t1,and(t3,t7))))) = and(cin,not(xor(t7,or(t1,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,not(xor(t7,or(t1,and(t3,t7))))),and(cin,not(xor(t7,or(t1,and(t3,t7)))))) ),[1,1],$fot(not(xor(t7,or(t1,t7))))]]) ).
cnf(refute_0_12274,plain,
( not(xor(t7,or(t1,and(t3,t7)))) != not(xor(t7,or(t1,t7)))
| and(cin,not(xor(t7,or(t1,and(t3,t7))))) = and(cin,not(xor(t7,or(t1,t7)))) ),
inference(resolve,[$cnf( $equal(and(cin,not(xor(t7,or(t1,and(t3,t7))))),and(cin,not(xor(t7,or(t1,and(t3,t7)))))) )],[refute_0_12272,refute_0_12273]) ).
cnf(refute_0_12275,plain,
and(cin,not(xor(t7,or(t1,and(t3,t7))))) = and(cin,not(xor(t7,or(t1,t7)))),
inference(resolve,[$cnf( $equal(not(xor(t7,or(t1,and(t3,t7)))),not(xor(t7,or(t1,t7)))) )],[refute_0_11523,refute_0_12274]) ).
cnf(refute_0_12276,plain,
( and(cin,not(xor(t7,or(t1,and(t3,t7))))) != and(cin,not(xor(t7,or(t1,t7))))
| and(cin,not(xor(t7,or(t1,and(t3,t7))))) != xor(t5,or(t1,and(t3,t7)))
| and(cin,not(xor(t7,or(t1,t7)))) = xor(t5,or(t1,and(t3,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,not(xor(t7,or(t1,and(t3,t7))))),xor(t5,or(t1,and(t3,t7)))) ),[0],$fot(and(cin,not(xor(t7,or(t1,t7)))))]]) ).
cnf(refute_0_12277,plain,
( and(cin,not(xor(t7,or(t1,and(t3,t7))))) != xor(t5,or(t1,and(t3,t7)))
| and(cin,not(xor(t7,or(t1,t7)))) = xor(t5,or(t1,and(t3,t7))) ),
inference(resolve,[$cnf( $equal(and(cin,not(xor(t7,or(t1,and(t3,t7))))),and(cin,not(xor(t7,or(t1,t7))))) )],[refute_0_12275,refute_0_12276]) ).
cnf(refute_0_12278,plain,
xor(t5,or(t1,and(t3,t7))) = xor(t5,or(t1,and(t3,t7))),
introduced(tautology,[refl,[$fot(xor(t5,or(t1,and(t3,t7))))]]) ).
cnf(refute_0_12279,plain,
( or(t1,and(t3,t7)) != or(t1,t7)
| xor(t5,or(t1,and(t3,t7))) != xor(t5,or(t1,and(t3,t7)))
| xor(t5,or(t1,and(t3,t7))) = xor(t5,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t5,or(t1,and(t3,t7))),xor(t5,or(t1,and(t3,t7)))) ),[1,1],$fot(or(t1,t7))]]) ).
cnf(refute_0_12280,plain,
( or(t1,and(t3,t7)) != or(t1,t7)
| xor(t5,or(t1,and(t3,t7))) = xor(t5,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(xor(t5,or(t1,and(t3,t7))),xor(t5,or(t1,and(t3,t7)))) )],[refute_0_12278,refute_0_12279]) ).
cnf(refute_0_12281,plain,
xor(t5,or(t1,and(t3,t7))) = xor(t5,or(t1,t7)),
inference(resolve,[$cnf( $equal(or(t1,and(t3,t7)),or(t1,t7)) )],[refute_0_11034,refute_0_12280]) ).
cnf(refute_0_12282,plain,
( and(cin,not(xor(t7,or(t1,t7)))) != xor(t5,or(t1,and(t3,t7)))
| xor(t5,or(t1,and(t3,t7))) != xor(t5,or(t1,t7))
| and(cin,not(xor(t7,or(t1,t7)))) = xor(t5,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(cin,not(xor(t7,or(t1,t7)))),xor(t5,or(t1,t7))) ),[0],$fot(xor(t5,or(t1,and(t3,t7))))]]) ).
cnf(refute_0_12283,plain,
( and(cin,not(xor(t7,or(t1,t7)))) != xor(t5,or(t1,and(t3,t7)))
| and(cin,not(xor(t7,or(t1,t7)))) = xor(t5,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(xor(t5,or(t1,and(t3,t7))),xor(t5,or(t1,t7))) )],[refute_0_12281,refute_0_12282]) ).
cnf(refute_0_12284,plain,
( and(cin,not(xor(t7,or(t1,and(t3,t7))))) != xor(t5,or(t1,and(t3,t7)))
| and(cin,not(xor(t7,or(t1,t7)))) = xor(t5,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(cin,not(xor(t7,or(t1,t7)))),xor(t5,or(t1,and(t3,t7)))) )],[refute_0_12277,refute_0_12283]) ).
cnf(refute_0_12285,plain,
and(cin,not(xor(t7,or(t1,t7)))) = xor(t5,or(t1,t7)),
inference(resolve,[$cnf( $equal(and(cin,not(xor(t7,or(t1,and(t3,t7))))),xor(t5,or(t1,and(t3,t7)))) )],[refute_0_12271,refute_0_12284]) ).
cnf(refute_0_12286,plain,
and(cin,not(xor(t7,or(t1,t7)))) = and(cin,not(xor(t7,or(t1,t7)))),
introduced(tautology,[refl,[$fot(and(cin,not(xor(t7,or(t1,t7)))))]]) ).
cnf(refute_0_12287,plain,
( and(cin,not(xor(t7,or(t1,t7)))) != and(cin,not(xor(t7,or(t1,t7))))
| not(xor(t7,or(t1,t7))) != or(a,t7)
| and(cin,not(xor(t7,or(t1,t7)))) = and(cin,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,not(xor(t7,or(t1,t7)))),and(cin,not(xor(t7,or(t1,t7))))) ),[1,1],$fot(or(a,t7))]]) ).
cnf(refute_0_12288,plain,
( not(xor(t7,or(t1,t7))) != or(a,t7)
| and(cin,not(xor(t7,or(t1,t7)))) = and(cin,or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(cin,not(xor(t7,or(t1,t7)))),and(cin,not(xor(t7,or(t1,t7))))) )],[refute_0_12286,refute_0_12287]) ).
cnf(refute_0_12289,plain,
and(cin,not(xor(t7,or(t1,t7)))) = and(cin,or(a,t7)),
inference(resolve,[$cnf( $equal(not(xor(t7,or(t1,t7))),or(a,t7)) )],[refute_0_11542,refute_0_12288]) ).
cnf(refute_0_12290,plain,
( and(cin,not(xor(t7,or(t1,t7)))) != and(cin,or(a,t7))
| and(cin,or(a,t7)) != and(carry_def,cin)
| and(cin,not(xor(t7,or(t1,t7)))) = and(carry_def,cin) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(cin,not(xor(t7,or(t1,t7)))))),bind(Y0,$fot(and(cin,or(a,t7)))),bind(Z0,$fot(and(carry_def,cin)))]]) ).
cnf(refute_0_12291,plain,
( and(cin,or(a,t7)) != and(carry_def,cin)
| and(cin,not(xor(t7,or(t1,t7)))) = and(carry_def,cin) ),
inference(resolve,[$cnf( $equal(and(cin,not(xor(t7,or(t1,t7)))),and(cin,or(a,t7))) )],[refute_0_12289,refute_0_12290]) ).
cnf(refute_0_12292,plain,
and(cin,not(xor(t7,or(t1,t7)))) = and(carry_def,cin),
inference(resolve,[$cnf( $equal(and(cin,or(a,t7)),and(carry_def,cin)) )],[refute_0_4149,refute_0_12291]) ).
cnf(refute_0_12293,plain,
( and(cin,not(xor(t7,or(t1,t7)))) != and(carry_def,cin)
| and(cin,not(xor(t7,or(t1,t7)))) != xor(t5,or(t1,t7))
| and(carry_def,cin) = xor(t5,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,not(xor(t7,or(t1,t7)))),xor(t5,or(t1,t7))) ),[0],$fot(and(carry_def,cin))]]) ).
cnf(refute_0_12294,plain,
( and(cin,not(xor(t7,or(t1,t7)))) != xor(t5,or(t1,t7))
| and(carry_def,cin) = xor(t5,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(cin,not(xor(t7,or(t1,t7)))),and(carry_def,cin)) )],[refute_0_12292,refute_0_12293]) ).
cnf(refute_0_12295,plain,
and(carry_def,cin) = xor(t5,or(t1,t7)),
inference(resolve,[$cnf( $equal(and(cin,not(xor(t7,or(t1,t7)))),xor(t5,or(t1,t7))) )],[refute_0_12285,refute_0_12294]) ).
cnf(refute_0_12296,plain,
( and(carry_def,cin) != xor(t5,or(t1,t7))
| xor(t5,or(t1,t7)) = and(carry_def,cin) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(carry_def,cin))),bind(Y0,$fot(xor(t5,or(t1,t7))))]]) ).
cnf(refute_0_12297,plain,
xor(t5,or(t1,t7)) = and(carry_def,cin),
inference(resolve,[$cnf( $equal(and(carry_def,cin),xor(t5,or(t1,t7))) )],[refute_0_12295,refute_0_12296]) ).
cnf(refute_0_12298,plain,
not(xor(t5,or(t1,t7))) = not(xor(t5,or(t1,t7))),
introduced(tautology,[refl,[$fot(not(xor(t5,or(t1,t7))))]]) ).
cnf(refute_0_12299,plain,
( not(xor(t5,or(t1,t7))) != not(xor(t5,or(t1,t7)))
| xor(t5,or(t1,t7)) != and(carry_def,cin)
| not(xor(t5,or(t1,t7))) = not(and(carry_def,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t5,or(t1,t7))),not(xor(t5,or(t1,t7)))) ),[1,0],$fot(and(carry_def,cin))]]) ).
cnf(refute_0_12300,plain,
( xor(t5,or(t1,t7)) != and(carry_def,cin)
| not(xor(t5,or(t1,t7))) = not(and(carry_def,cin)) ),
inference(resolve,[$cnf( $equal(not(xor(t5,or(t1,t7))),not(xor(t5,or(t1,t7)))) )],[refute_0_12298,refute_0_12299]) ).
cnf(refute_0_12301,plain,
not(xor(t5,or(t1,t7))) = not(and(carry_def,cin)),
inference(resolve,[$cnf( $equal(xor(t5,or(t1,t7)),and(carry_def,cin)) )],[refute_0_12297,refute_0_12300]) ).
cnf(refute_0_12302,plain,
xor(t5,not(or(t1,t7))) = not(xor(t5,or(t1,t7))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t5)),bind(X_334,$fot(or(t1,t7)))]]) ).
cnf(refute_0_12303,plain,
( not(xor(t5,or(t1,t7))) != not(and(carry_def,cin))
| xor(t5,not(or(t1,t7))) != not(xor(t5,or(t1,t7)))
| xor(t5,not(or(t1,t7))) = not(and(carry_def,cin)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t5,not(or(t1,t7))))),bind(Y0,$fot(not(xor(t5,or(t1,t7))))),bind(Z0,$fot(not(and(carry_def,cin))))]]) ).
cnf(refute_0_12304,plain,
( not(xor(t5,or(t1,t7))) != not(and(carry_def,cin))
| xor(t5,not(or(t1,t7))) = not(and(carry_def,cin)) ),
inference(resolve,[$cnf( $equal(xor(t5,not(or(t1,t7))),not(xor(t5,or(t1,t7)))) )],[refute_0_12302,refute_0_12303]) ).
cnf(refute_0_12305,plain,
xor(t5,not(or(t1,t7))) = not(and(carry_def,cin)),
inference(resolve,[$cnf( $equal(not(xor(t5,or(t1,t7))),not(and(carry_def,cin))) )],[refute_0_12301,refute_0_12304]) ).
cnf(refute_0_12306,plain,
( xor(t5,not(or(t1,t7))) != not(and(carry_def,cin))
| xor(t5,not(or(t1,t7))) != xor(cin,or(a,t7))
| not(and(carry_def,cin)) = xor(cin,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t5,not(or(t1,t7))),xor(cin,or(a,t7))) ),[0],$fot(not(and(carry_def,cin)))]]) ).
cnf(refute_0_12307,plain,
( xor(t5,not(or(t1,t7))) != xor(cin,or(a,t7))
| not(and(carry_def,cin)) = xor(cin,or(a,t7)) ),
inference(resolve,[$cnf( $equal(xor(t5,not(or(t1,t7))),not(and(carry_def,cin))) )],[refute_0_12305,refute_0_12306]) ).
cnf(refute_0_12308,plain,
( not(and(carry_def,cin)) != xor(cin,or(a,t7))
| xor(cin,or(a,t7)) != and(t5,or(t1,t7))
| not(and(carry_def,cin)) = and(t5,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(carry_def,cin)),and(t5,or(t1,t7))) ),[0],$fot(xor(cin,or(a,t7)))]]) ).
cnf(refute_0_12309,plain,
( not(and(carry_def,cin)) != xor(cin,or(a,t7))
| not(and(carry_def,cin)) = and(t5,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(xor(cin,or(a,t7)),and(t5,or(t1,t7))) )],[refute_0_12236,refute_0_12308]) ).
cnf(refute_0_12310,plain,
( xor(t5,not(or(t1,t7))) != xor(cin,or(a,t7))
| not(and(carry_def,cin)) = and(t5,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(not(and(carry_def,cin)),xor(cin,or(a,t7))) )],[refute_0_12307,refute_0_12309]) ).
cnf(refute_0_12311,plain,
not(and(carry_def,cin)) = and(t5,or(t1,t7)),
inference(resolve,[$cnf( $equal(xor(t5,not(or(t1,t7))),xor(cin,or(a,t7))) )],[refute_0_12251,refute_0_12310]) ).
cnf(refute_0_12312,plain,
( not(and(carry_def,cin)) != and(t5,or(t1,t7))
| and(t5,or(t1,t7)) = not(and(carry_def,cin)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(carry_def,cin)))),bind(Y0,$fot(and(t5,or(t1,t7))))]]) ).
cnf(refute_0_12313,plain,
and(t5,or(t1,t7)) = not(and(carry_def,cin)),
inference(resolve,[$cnf( $equal(not(and(carry_def,cin)),and(t5,or(t1,t7))) )],[refute_0_12311,refute_0_12312]) ).
cnf(refute_0_12314,plain,
not(and(t5,or(t1,t7))) = not(and(t5,or(t1,t7))),
introduced(tautology,[refl,[$fot(not(and(t5,or(t1,t7))))]]) ).
cnf(refute_0_12315,plain,
( and(t5,or(t1,t7)) != not(and(carry_def,cin))
| not(and(t5,or(t1,t7))) != not(and(t5,or(t1,t7)))
| not(and(t5,or(t1,t7))) = not(not(and(carry_def,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(t5,or(t1,t7))),not(and(t5,or(t1,t7)))) ),[1,0],$fot(not(and(carry_def,cin)))]]) ).
cnf(refute_0_12316,plain,
( and(t5,or(t1,t7)) != not(and(carry_def,cin))
| not(and(t5,or(t1,t7))) = not(not(and(carry_def,cin))) ),
inference(resolve,[$cnf( $equal(not(and(t5,or(t1,t7))),not(and(t5,or(t1,t7)))) )],[refute_0_12314,refute_0_12315]) ).
cnf(refute_0_12317,plain,
not(and(t5,or(t1,t7))) = not(not(and(carry_def,cin))),
inference(resolve,[$cnf( $equal(and(t5,or(t1,t7)),not(and(carry_def,cin))) )],[refute_0_12313,refute_0_12316]) ).
cnf(refute_0_12318,plain,
( not(and(t5,or(t1,t7))) != not(not(and(carry_def,cin)))
| not(not(and(carry_def,cin))) != and(carry_def,cin)
| not(and(t5,or(t1,t7))) = and(carry_def,cin) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(t5,or(t1,t7))))),bind(Y0,$fot(not(not(and(carry_def,cin))))),bind(Z0,$fot(and(carry_def,cin)))]]) ).
cnf(refute_0_12319,plain,
( not(not(and(carry_def,cin))) != and(carry_def,cin)
| not(and(t5,or(t1,t7))) = and(carry_def,cin) ),
inference(resolve,[$cnf( $equal(not(and(t5,or(t1,t7))),not(not(and(carry_def,cin)))) )],[refute_0_12317,refute_0_12318]) ).
cnf(refute_0_12320,plain,
not(and(t5,or(t1,t7))) = and(carry_def,cin),
inference(resolve,[$cnf( $equal(not(not(and(carry_def,cin))),and(carry_def,cin)) )],[refute_0_12244,refute_0_12319]) ).
cnf(refute_0_12321,plain,
( and(carry,or(cin,sum)) != not(and(t5,or(t1,t7)))
| not(and(t5,or(t1,t7))) != and(carry_def,cin)
| and(carry,or(cin,sum)) = and(carry_def,cin) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(carry,or(cin,sum)),and(carry_def,cin)) ),[0],$fot(not(and(t5,or(t1,t7))))]]) ).
cnf(refute_0_12322,plain,
( and(carry,or(cin,sum)) != not(and(t5,or(t1,t7)))
| and(carry,or(cin,sum)) = and(carry_def,cin) ),
inference(resolve,[$cnf( $equal(not(and(t5,or(t1,t7))),and(carry_def,cin)) )],[refute_0_12320,refute_0_12321]) ).
cnf(refute_0_12323,plain,
and(carry,or(cin,sum)) = and(carry_def,cin),
inference(resolve,[$cnf( $equal(and(carry,or(cin,sum)),not(and(t5,or(t1,t7)))) )],[refute_0_12243,refute_0_12322]) ).
cnf(refute_0_12324,plain,
or(t4,and(carry,or(cin,sum))) = or(t4,and(carry,or(cin,sum))),
introduced(tautology,[refl,[$fot(or(t4,and(carry,or(cin,sum))))]]) ).
cnf(refute_0_12325,plain,
( and(carry,or(cin,sum)) != and(carry_def,cin)
| or(t4,and(carry,or(cin,sum))) != or(t4,and(carry,or(cin,sum)))
| or(t4,and(carry,or(cin,sum))) = or(t4,and(carry_def,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,and(carry,or(cin,sum))),or(t4,and(carry,or(cin,sum)))) ),[1,1],$fot(and(carry_def,cin))]]) ).
cnf(refute_0_12326,plain,
( and(carry,or(cin,sum)) != and(carry_def,cin)
| or(t4,and(carry,or(cin,sum))) = or(t4,and(carry_def,cin)) ),
inference(resolve,[$cnf( $equal(or(t4,and(carry,or(cin,sum))),or(t4,and(carry,or(cin,sum)))) )],[refute_0_12324,refute_0_12325]) ).
cnf(refute_0_12327,plain,
or(t4,and(carry,or(cin,sum))) = or(t4,and(carry_def,cin)),
inference(resolve,[$cnf( $equal(and(carry,or(cin,sum)),and(carry_def,cin)) )],[refute_0_12323,refute_0_12326]) ).
cnf(refute_0_12328,plain,
( or(t4,and(carry,or(cin,sum))) != or(t4,and(carry_def,cin))
| xor(cin,and(sum,t1)) != or(t4,and(carry,or(cin,sum)))
| xor(cin,and(sum,t1)) = or(t4,and(carry_def,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,and(sum,t1)),or(t4,and(carry,or(cin,sum)))) ),[1],$fot(or(t4,and(carry_def,cin)))]]) ).
cnf(refute_0_12329,plain,
( xor(cin,and(sum,t1)) != or(t4,and(carry,or(cin,sum)))
| xor(cin,and(sum,t1)) = or(t4,and(carry_def,cin)) ),
inference(resolve,[$cnf( $equal(or(t4,and(carry,or(cin,sum))),or(t4,and(carry_def,cin))) )],[refute_0_12327,refute_0_12328]) ).
cnf(refute_0_12330,plain,
xor(cin,and(sum,t1)) = or(t4,and(carry_def,cin)),
inference(resolve,[$cnf( $equal(xor(cin,and(sum,t1)),or(t4,and(carry,or(cin,sum)))) )],[refute_0_12210,refute_0_12329]) ).
cnf(refute_0_12331,plain,
( xor(cin,and(sum,t1)) != or(t4,and(carry_def,cin))
| xor(cin,and(sum,t1)) != xor(t5,and(t6,or(t1,t7)))
| or(t4,and(carry_def,cin)) = xor(t5,and(t6,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,and(sum,t1)),xor(t5,and(t6,or(t1,t7)))) ),[0],$fot(or(t4,and(carry_def,cin)))]]) ).
cnf(refute_0_12332,plain,
( xor(cin,and(sum,t1)) != xor(t5,and(t6,or(t1,t7)))
| or(t4,and(carry_def,cin)) = xor(t5,and(t6,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(xor(cin,and(sum,t1)),or(t4,and(carry_def,cin))) )],[refute_0_12330,refute_0_12331]) ).
cnf(refute_0_12333,plain,
or(t4,and(carry_def,cin)) = xor(t5,and(t6,or(t1,t7))),
inference(resolve,[$cnf( $equal(xor(cin,and(sum,t1)),xor(t5,and(t6,or(t1,t7)))) )],[refute_0_11968,refute_0_12332]) ).
cnf(refute_0_12334,plain,
( or(t4,and(carry_def,cin)) != xor(t5,and(t6,or(t1,t7)))
| xor(t5,and(t6,or(t1,t7))) = or(t4,and(carry_def,cin)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(t4,and(carry_def,cin)))),bind(Y0,$fot(xor(t5,and(t6,or(t1,t7)))))]]) ).
cnf(refute_0_12335,plain,
xor(t5,and(t6,or(t1,t7))) = or(t4,and(carry_def,cin)),
inference(resolve,[$cnf( $equal(or(t4,and(carry_def,cin)),xor(t5,and(t6,or(t1,t7)))) )],[refute_0_12333,refute_0_12334]) ).
cnf(refute_0_12336,plain,
( xor(sum,xor(t5,and(t6,or(t1,t7)))) != xor(cin,xor(t6,and(t6,or(t1,t7))))
| xor(t5,and(t6,or(t1,t7))) != or(t4,and(carry_def,cin))
| xor(sum,or(t4,and(carry_def,cin))) = xor(cin,xor(t6,and(t6,or(t1,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,xor(t5,and(t6,or(t1,t7)))),xor(cin,xor(t6,and(t6,or(t1,t7))))) ),[0,1],$fot(or(t4,and(carry_def,cin)))]]) ).
cnf(refute_0_12337,plain,
( xor(sum,xor(t5,and(t6,or(t1,t7)))) != xor(cin,xor(t6,and(t6,or(t1,t7))))
| xor(sum,or(t4,and(carry_def,cin))) = xor(cin,xor(t6,and(t6,or(t1,t7)))) ),
inference(resolve,[$cnf( $equal(xor(t5,and(t6,or(t1,t7))),or(t4,and(carry_def,cin))) )],[refute_0_12335,refute_0_12336]) ).
cnf(refute_0_12338,plain,
xor(sum,or(t4,and(carry_def,cin))) = xor(cin,xor(t6,and(t6,or(t1,t7)))),
inference(resolve,[$cnf( $equal(xor(sum,xor(t5,and(t6,or(t1,t7)))),xor(cin,xor(t6,and(t6,or(t1,t7))))) )],[refute_0_11869,refute_0_12337]) ).
cnf(refute_0_12339,plain,
xor(cin,xor(sum,Z)) = xor(xor(cin,sum),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(cin)),bind(Y,$fot(sum))]]) ).
cnf(refute_0_12340,plain,
xor(t4,xor(or(sum,t4),or(cin,sum))) = not(xor(t7,or(cin,sum))),
inference(subst,[],[refute_0_4506:[bind(Z,$fot(or(cin,sum)))]]) ).
cnf(refute_0_12341,plain,
xor(cin,xor(t5,or(cin,sum))) = xor(t7,or(cin,sum)),
inference(subst,[],[refute_0_2486:[bind(X_335,$fot(or(cin,sum)))]]) ).
cnf(refute_0_12342,plain,
( xor(cin,xor(t5,or(cin,sum))) != xor(t7,or(cin,sum))
| xor(t5,or(cin,sum)) != not(sum)
| xor(cin,not(sum)) = xor(t7,or(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t5,or(cin,sum))),xor(t7,or(cin,sum))) ),[0,1],$fot(not(sum))]]) ).
cnf(refute_0_12343,plain,
( xor(cin,xor(t5,or(cin,sum))) != xor(t7,or(cin,sum))
| xor(cin,not(sum)) = xor(t7,or(cin,sum)) ),
inference(resolve,[$cnf( $equal(xor(t5,or(cin,sum)),not(sum)) )],[refute_0_5379,refute_0_12342]) ).
cnf(refute_0_12344,plain,
xor(cin,not(sum)) = xor(t7,or(cin,sum)),
inference(resolve,[$cnf( $equal(xor(cin,xor(t5,or(cin,sum))),xor(t7,or(cin,sum))) )],[refute_0_12341,refute_0_12343]) ).
cnf(refute_0_12345,plain,
xor(cin,not(sum)) = not(xor(cin,sum)),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(cin)),bind(X_334,$fot(sum))]]) ).
cnf(refute_0_12346,plain,
( xor(cin,not(sum)) != not(xor(cin,sum))
| xor(cin,not(sum)) != xor(t7,or(cin,sum))
| not(xor(cin,sum)) = xor(t7,or(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,not(sum)),xor(t7,or(cin,sum))) ),[0],$fot(not(xor(cin,sum)))]]) ).
cnf(refute_0_12347,plain,
( xor(cin,not(sum)) != xor(t7,or(cin,sum))
| not(xor(cin,sum)) = xor(t7,or(cin,sum)) ),
inference(resolve,[$cnf( $equal(xor(cin,not(sum)),not(xor(cin,sum))) )],[refute_0_12345,refute_0_12346]) ).
cnf(refute_0_12348,plain,
not(xor(cin,sum)) = xor(t7,or(cin,sum)),
inference(resolve,[$cnf( $equal(xor(cin,not(sum)),xor(t7,or(cin,sum))) )],[refute_0_12344,refute_0_12347]) ).
cnf(refute_0_12349,plain,
( not(xor(cin,sum)) != xor(t7,or(cin,sum))
| xor(t7,or(cin,sum)) = not(xor(cin,sum)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(xor(cin,sum)))),bind(Y0,$fot(xor(t7,or(cin,sum))))]]) ).
cnf(refute_0_12350,plain,
xor(t7,or(cin,sum)) = not(xor(cin,sum)),
inference(resolve,[$cnf( $equal(not(xor(cin,sum)),xor(t7,or(cin,sum))) )],[refute_0_12348,refute_0_12349]) ).
cnf(refute_0_12351,plain,
( xor(t4,xor(or(sum,t4),or(cin,sum))) != not(xor(t7,or(cin,sum)))
| xor(t7,or(cin,sum)) != not(xor(cin,sum))
| xor(t4,xor(or(sum,t4),or(cin,sum))) = not(not(xor(cin,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,xor(or(sum,t4),or(cin,sum))),not(xor(t7,or(cin,sum)))) ),[1,0],$fot(not(xor(cin,sum)))]]) ).
cnf(refute_0_12352,plain,
( xor(t4,xor(or(sum,t4),or(cin,sum))) != not(xor(t7,or(cin,sum)))
| xor(t4,xor(or(sum,t4),or(cin,sum))) = not(not(xor(cin,sum))) ),
inference(resolve,[$cnf( $equal(xor(t7,or(cin,sum)),not(xor(cin,sum))) )],[refute_0_12350,refute_0_12351]) ).
cnf(refute_0_12353,plain,
xor(t4,xor(or(sum,t4),or(cin,sum))) = not(not(xor(cin,sum))),
inference(resolve,[$cnf( $equal(xor(t4,xor(or(sum,t4),or(cin,sum))),not(xor(t7,or(cin,sum)))) )],[refute_0_12340,refute_0_12352]) ).
cnf(refute_0_12354,plain,
xor(cin,xor(t7,t6)) = xor(t5,t6),
inference(subst,[],[refute_0_11873:[bind(Z,$fot(t6))]]) ).
cnf(refute_0_12355,plain,
( xor(cin,xor(t7,t6)) != xor(t5,t6)
| xor(t5,t6) != t4
| xor(cin,xor(t7,t6)) = t4 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(cin,xor(t7,t6)))),bind(Y0,$fot(xor(t5,t6))),bind(Z0,$fot(t4))]]) ).
cnf(refute_0_12356,plain,
( xor(t5,t6) != t4
| xor(cin,xor(t7,t6)) = t4 ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t7,t6)),xor(t5,t6)) )],[refute_0_12354,refute_0_12355]) ).
cnf(refute_0_12357,plain,
xor(cin,xor(t7,t6)) = t4,
inference(resolve,[$cnf( $equal(xor(t5,t6),t4) )],[refute_0_1493,refute_0_12356]) ).
cnf(refute_0_12358,plain,
xor(t7,xor(cin,t6)) = xor(cin,xor(t7,t6)),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(cin)),bind(X_334,$fot(t7)),bind(X_335,$fot(t6))]]) ).
cnf(refute_0_12359,plain,
( xor(cin,xor(t7,t6)) != t4
| xor(t7,xor(cin,t6)) != xor(cin,xor(t7,t6))
| xor(t7,xor(cin,t6)) = t4 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t7,xor(cin,t6)))),bind(Y0,$fot(xor(cin,xor(t7,t6)))),bind(Z0,$fot(t4))]]) ).
cnf(refute_0_12360,plain,
( xor(cin,xor(t7,t6)) != t4
| xor(t7,xor(cin,t6)) = t4 ),
inference(resolve,[$cnf( $equal(xor(t7,xor(cin,t6)),xor(cin,xor(t7,t6))) )],[refute_0_12358,refute_0_12359]) ).
cnf(refute_0_12361,plain,
xor(t7,xor(cin,t6)) = t4,
inference(resolve,[$cnf( $equal(xor(cin,xor(t7,t6)),t4) )],[refute_0_12357,refute_0_12360]) ).
cnf(refute_0_12362,plain,
or(and(X,not(xor(cin,t6))),and(not(X),xor(cin,t6))) = xor(X,xor(cin,t6)),
inference(subst,[],[refute_0_9:[bind(Y,$fot(xor(cin,t6)))]]) ).
cnf(refute_0_12363,plain,
( not(xor(cin,t6)) != or(cin,sum)
| or(and(X,not(xor(cin,t6))),and(not(X),xor(cin,t6))) != xor(X,xor(cin,t6))
| or(and(X,or(cin,sum)),and(not(X),xor(cin,t6))) = xor(X,xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X,not(xor(cin,t6))),and(not(X),xor(cin,t6))),xor(X,xor(cin,t6))) ),[0,0,1],$fot(or(cin,sum))]]) ).
cnf(refute_0_12364,plain,
( or(and(X,not(xor(cin,t6))),and(not(X),xor(cin,t6))) != xor(X,xor(cin,t6))
| or(and(X,or(cin,sum)),and(not(X),xor(cin,t6))) = xor(X,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(not(xor(cin,t6)),or(cin,sum)) )],[refute_0_2510,refute_0_12363]) ).
cnf(refute_0_12365,plain,
or(and(X,or(cin,sum)),and(not(X),xor(cin,t6))) = xor(X,xor(cin,t6)),
inference(resolve,[$cnf( $equal(or(and(X,not(xor(cin,t6))),and(not(X),xor(cin,t6))),xor(X,xor(cin,t6))) )],[refute_0_12362,refute_0_12364]) ).
cnf(refute_0_12366,plain,
or(and(X,or(cin,sum)),not(or(X,or(cin,sum)))) = not(xor(X,or(cin,sum))),
inference(subst,[],[refute_0_3631:[bind(X_64,$fot(or(cin,sum)))]]) ).
cnf(refute_0_12367,plain,
not(or(X_25,not(xor(cin,t6)))) = and(not(X_25),xor(cin,t6)),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(cin,t6)))]]) ).
cnf(refute_0_12368,plain,
( not(or(X_25,not(xor(cin,t6)))) != and(not(X_25),xor(cin,t6))
| not(xor(cin,t6)) != or(cin,sum)
| not(or(X_25,or(cin,sum))) = and(not(X_25),xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X_25,not(xor(cin,t6)))),and(not(X_25),xor(cin,t6))) ),[0,0,1],$fot(or(cin,sum))]]) ).
cnf(refute_0_12369,plain,
( not(or(X_25,not(xor(cin,t6)))) != and(not(X_25),xor(cin,t6))
| not(or(X_25,or(cin,sum))) = and(not(X_25),xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(not(xor(cin,t6)),or(cin,sum)) )],[refute_0_2510,refute_0_12368]) ).
cnf(refute_0_12370,plain,
not(or(X_25,or(cin,sum))) = and(not(X_25),xor(cin,t6)),
inference(resolve,[$cnf( $equal(not(or(X_25,not(xor(cin,t6)))),and(not(X_25),xor(cin,t6))) )],[refute_0_12367,refute_0_12369]) ).
cnf(refute_0_12371,plain,
( not(or(X_25,or(cin,sum))) != and(not(X_25),xor(cin,t6))
| and(not(X_25),xor(cin,t6)) = not(or(X_25,or(cin,sum))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X_25,or(cin,sum))))),bind(Y0,$fot(and(not(X_25),xor(cin,t6))))]]) ).
cnf(refute_0_12372,plain,
and(not(X_25),xor(cin,t6)) = not(or(X_25,or(cin,sum))),
inference(resolve,[$cnf( $equal(not(or(X_25,or(cin,sum))),and(not(X_25),xor(cin,t6))) )],[refute_0_12370,refute_0_12371]) ).
cnf(refute_0_12373,plain,
and(not(X),xor(cin,t6)) = not(or(X,or(cin,sum))),
inference(subst,[],[refute_0_12372:[bind(X_25,$fot(X))]]) ).
cnf(refute_0_12374,plain,
or(and(X,or(cin,sum)),and(not(X),xor(cin,t6))) = or(and(X,or(cin,sum)),and(not(X),xor(cin,t6))),
introduced(tautology,[refl,[$fot(or(and(X,or(cin,sum)),and(not(X),xor(cin,t6))))]]) ).
cnf(refute_0_12375,plain,
( and(not(X),xor(cin,t6)) != not(or(X,or(cin,sum)))
| or(and(X,or(cin,sum)),and(not(X),xor(cin,t6))) != or(and(X,or(cin,sum)),and(not(X),xor(cin,t6)))
| or(and(X,or(cin,sum)),and(not(X),xor(cin,t6))) = or(and(X,or(cin,sum)),not(or(X,or(cin,sum)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X,or(cin,sum)),and(not(X),xor(cin,t6))),or(and(X,or(cin,sum)),and(not(X),xor(cin,t6)))) ),[1,1],$fot(not(or(X,or(cin,sum))))]]) ).
cnf(refute_0_12376,plain,
( and(not(X),xor(cin,t6)) != not(or(X,or(cin,sum)))
| or(and(X,or(cin,sum)),and(not(X),xor(cin,t6))) = or(and(X,or(cin,sum)),not(or(X,or(cin,sum)))) ),
inference(resolve,[$cnf( $equal(or(and(X,or(cin,sum)),and(not(X),xor(cin,t6))),or(and(X,or(cin,sum)),and(not(X),xor(cin,t6)))) )],[refute_0_12374,refute_0_12375]) ).
cnf(refute_0_12377,plain,
or(and(X,or(cin,sum)),and(not(X),xor(cin,t6))) = or(and(X,or(cin,sum)),not(or(X,or(cin,sum)))),
inference(resolve,[$cnf( $equal(and(not(X),xor(cin,t6)),not(or(X,or(cin,sum)))) )],[refute_0_12373,refute_0_12376]) ).
cnf(refute_0_12378,plain,
( or(and(X,or(cin,sum)),and(not(X),xor(cin,t6))) != or(and(X,or(cin,sum)),not(or(X,or(cin,sum))))
| or(and(X,or(cin,sum)),not(or(X,or(cin,sum)))) != not(xor(X,or(cin,sum)))
| or(and(X,or(cin,sum)),and(not(X),xor(cin,t6))) = not(xor(X,or(cin,sum))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(X,or(cin,sum)),and(not(X),xor(cin,t6))))),bind(Y0,$fot(or(and(X,or(cin,sum)),not(or(X,or(cin,sum)))))),bind(Z0,$fot(not(xor(X,or(cin,sum)))))]]) ).
cnf(refute_0_12379,plain,
( or(and(X,or(cin,sum)),not(or(X,or(cin,sum)))) != not(xor(X,or(cin,sum)))
| or(and(X,or(cin,sum)),and(not(X),xor(cin,t6))) = not(xor(X,or(cin,sum))) ),
inference(resolve,[$cnf( $equal(or(and(X,or(cin,sum)),and(not(X),xor(cin,t6))),or(and(X,or(cin,sum)),not(or(X,or(cin,sum))))) )],[refute_0_12377,refute_0_12378]) ).
cnf(refute_0_12380,plain,
or(and(X,or(cin,sum)),and(not(X),xor(cin,t6))) = not(xor(X,or(cin,sum))),
inference(resolve,[$cnf( $equal(or(and(X,or(cin,sum)),not(or(X,or(cin,sum)))),not(xor(X,or(cin,sum)))) )],[refute_0_12366,refute_0_12379]) ).
cnf(refute_0_12381,plain,
( or(and(X,or(cin,sum)),and(not(X),xor(cin,t6))) != not(xor(X,or(cin,sum)))
| or(and(X,or(cin,sum)),and(not(X),xor(cin,t6))) != xor(X,xor(cin,t6))
| not(xor(X,or(cin,sum))) = xor(X,xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X,or(cin,sum)),and(not(X),xor(cin,t6))),xor(X,xor(cin,t6))) ),[0],$fot(not(xor(X,or(cin,sum))))]]) ).
cnf(refute_0_12382,plain,
( or(and(X,or(cin,sum)),and(not(X),xor(cin,t6))) != xor(X,xor(cin,t6))
| not(xor(X,or(cin,sum))) = xor(X,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(or(and(X,or(cin,sum)),and(not(X),xor(cin,t6))),not(xor(X,or(cin,sum)))) )],[refute_0_12380,refute_0_12381]) ).
cnf(refute_0_12383,plain,
not(xor(X,or(cin,sum))) = xor(X,xor(cin,t6)),
inference(resolve,[$cnf( $equal(or(and(X,or(cin,sum)),and(not(X),xor(cin,t6))),xor(X,xor(cin,t6))) )],[refute_0_12365,refute_0_12382]) ).
cnf(refute_0_12384,plain,
not(xor(t7,or(cin,sum))) = xor(t7,xor(cin,t6)),
inference(subst,[],[refute_0_12383:[bind(X,$fot(t7))]]) ).
cnf(refute_0_12385,plain,
( not(xor(t7,or(cin,sum))) != xor(t7,xor(cin,t6))
| xor(t7,xor(cin,t6)) != t4
| not(xor(t7,or(cin,sum))) = t4 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t7,or(cin,sum))))),bind(Y0,$fot(xor(t7,xor(cin,t6)))),bind(Z0,$fot(t4))]]) ).
cnf(refute_0_12386,plain,
( xor(t7,xor(cin,t6)) != t4
| not(xor(t7,or(cin,sum))) = t4 ),
inference(resolve,[$cnf( $equal(not(xor(t7,or(cin,sum))),xor(t7,xor(cin,t6))) )],[refute_0_12384,refute_0_12385]) ).
cnf(refute_0_12387,plain,
not(xor(t7,or(cin,sum))) = t4,
inference(resolve,[$cnf( $equal(xor(t7,xor(cin,t6)),t4) )],[refute_0_12361,refute_0_12386]) ).
cnf(refute_0_12388,plain,
( not(xor(t7,or(cin,sum))) != t4
| xor(t4,xor(or(sum,t4),or(cin,sum))) != not(xor(t7,or(cin,sum)))
| xor(t4,xor(or(sum,t4),or(cin,sum))) = t4 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t4,xor(or(sum,t4),or(cin,sum))))),bind(Y0,$fot(not(xor(t7,or(cin,sum))))),bind(Z0,$fot(t4))]]) ).
cnf(refute_0_12389,plain,
( not(xor(t7,or(cin,sum))) != t4
| xor(t4,xor(or(sum,t4),or(cin,sum))) = t4 ),
inference(resolve,[$cnf( $equal(xor(t4,xor(or(sum,t4),or(cin,sum))),not(xor(t7,or(cin,sum)))) )],[refute_0_12340,refute_0_12388]) ).
cnf(refute_0_12390,plain,
xor(t4,xor(or(sum,t4),or(cin,sum))) = t4,
inference(resolve,[$cnf( $equal(not(xor(t7,or(cin,sum))),t4) )],[refute_0_12387,refute_0_12389]) ).
cnf(refute_0_12391,plain,
( xor(t4,xor(or(sum,t4),or(cin,sum))) != not(not(xor(cin,sum)))
| xor(t4,xor(or(sum,t4),or(cin,sum))) != t4
| t4 = not(not(xor(cin,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,xor(or(sum,t4),or(cin,sum))),not(not(xor(cin,sum)))) ),[0],$fot(t4)]]) ).
cnf(refute_0_12392,plain,
( xor(t4,xor(or(sum,t4),or(cin,sum))) != not(not(xor(cin,sum)))
| t4 = not(not(xor(cin,sum))) ),
inference(resolve,[$cnf( $equal(xor(t4,xor(or(sum,t4),or(cin,sum))),t4) )],[refute_0_12390,refute_0_12391]) ).
cnf(refute_0_12393,plain,
not(not(xor(cin,sum))) = xor(cin,sum),
inference(subst,[],[not_involution:[bind(X,$fot(xor(cin,sum)))]]) ).
cnf(refute_0_12394,plain,
( not(not(xor(cin,sum))) != xor(cin,sum)
| t4 != not(not(xor(cin,sum)))
| t4 = xor(cin,sum) ),
introduced(tautology,[equality,[$cnf( $equal(t4,not(not(xor(cin,sum)))) ),[1],$fot(xor(cin,sum))]]) ).
cnf(refute_0_12395,plain,
( t4 != not(not(xor(cin,sum)))
| t4 = xor(cin,sum) ),
inference(resolve,[$cnf( $equal(not(not(xor(cin,sum))),xor(cin,sum)) )],[refute_0_12393,refute_0_12394]) ).
cnf(refute_0_12396,plain,
( xor(t4,xor(or(sum,t4),or(cin,sum))) != not(not(xor(cin,sum)))
| t4 = xor(cin,sum) ),
inference(resolve,[$cnf( $equal(t4,not(not(xor(cin,sum)))) )],[refute_0_12392,refute_0_12395]) ).
cnf(refute_0_12397,plain,
t4 = xor(cin,sum),
inference(resolve,[$cnf( $equal(xor(t4,xor(or(sum,t4),or(cin,sum))),not(not(xor(cin,sum)))) )],[refute_0_12353,refute_0_12396]) ).
cnf(refute_0_12398,plain,
( t4 != xor(cin,sum)
| xor(cin,sum) = t4 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(t4)),bind(Y0,$fot(xor(cin,sum)))]]) ).
cnf(refute_0_12399,plain,
xor(cin,sum) = t4,
inference(resolve,[$cnf( $equal(t4,xor(cin,sum)) )],[refute_0_12397,refute_0_12398]) ).
cnf(refute_0_12400,plain,
( xor(cin,sum) != t4
| xor(cin,xor(sum,Z)) != xor(xor(cin,sum),Z)
| xor(cin,xor(sum,Z)) = xor(t4,Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(sum,Z)),xor(xor(cin,sum),Z)) ),[1,0],$fot(t4)]]) ).
cnf(refute_0_12401,plain,
( xor(cin,xor(sum,Z)) != xor(xor(cin,sum),Z)
| xor(cin,xor(sum,Z)) = xor(t4,Z) ),
inference(resolve,[$cnf( $equal(xor(cin,sum),t4) )],[refute_0_12399,refute_0_12400]) ).
cnf(refute_0_12402,plain,
xor(cin,xor(sum,Z)) = xor(t4,Z),
inference(resolve,[$cnf( $equal(xor(cin,xor(sum,Z)),xor(xor(cin,sum),Z)) )],[refute_0_12339,refute_0_12401]) ).
cnf(refute_0_12403,plain,
xor(cin,xor(sum,and(sum,t1))) = xor(t4,and(sum,t1)),
inference(subst,[],[refute_0_12402:[bind(Z,$fot(and(sum,t1)))]]) ).
cnf(refute_0_12404,plain,
xor(cin,xor(xor(t6,or(a,t7)),Z)) = xor(xor(cin,xor(t6,or(a,t7))),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(cin)),bind(Y,$fot(xor(t6,or(a,t7))))]]) ).
cnf(refute_0_12405,plain,
( xor(cin,xor(t6,or(a,t7))) != or(t4,xor(t7,or(a,t7)))
| xor(cin,xor(xor(t6,or(a,t7)),Z)) != xor(xor(cin,xor(t6,or(a,t7))),Z)
| xor(cin,xor(xor(t6,or(a,t7)),Z)) = xor(or(t4,xor(t7,or(a,t7))),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(xor(t6,or(a,t7)),Z)),xor(xor(cin,xor(t6,or(a,t7))),Z)) ),[1,0],$fot(or(t4,xor(t7,or(a,t7))))]]) ).
cnf(refute_0_12406,plain,
( xor(cin,xor(xor(t6,or(a,t7)),Z)) != xor(xor(cin,xor(t6,or(a,t7))),Z)
| xor(cin,xor(xor(t6,or(a,t7)),Z)) = xor(or(t4,xor(t7,or(a,t7))),Z) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t6,or(a,t7))),or(t4,xor(t7,or(a,t7)))) )],[refute_0_11416,refute_0_12405]) ).
cnf(refute_0_12407,plain,
xor(cin,xor(xor(t6,or(a,t7)),Z)) = xor(or(t4,xor(t7,or(a,t7))),Z),
inference(resolve,[$cnf( $equal(xor(cin,xor(xor(t6,or(a,t7)),Z)),xor(xor(cin,xor(t6,or(a,t7))),Z)) )],[refute_0_12404,refute_0_12406]) ).
cnf(refute_0_12408,plain,
xor(xor(t6,or(a,t7)),Z) = xor(t6,xor(or(a,t7),Z)),
inference(subst,[],[refute_0_526:[bind(X,$fot(t6)),bind(Y,$fot(or(a,t7)))]]) ).
cnf(refute_0_12409,plain,
xor(cin,xor(xor(t6,or(a,t7)),Z)) = xor(cin,xor(xor(t6,or(a,t7)),Z)),
introduced(tautology,[refl,[$fot(xor(cin,xor(xor(t6,or(a,t7)),Z)))]]) ).
cnf(refute_0_12410,plain,
( xor(cin,xor(xor(t6,or(a,t7)),Z)) != xor(cin,xor(xor(t6,or(a,t7)),Z))
| xor(xor(t6,or(a,t7)),Z) != xor(t6,xor(or(a,t7),Z))
| xor(cin,xor(xor(t6,or(a,t7)),Z)) = xor(cin,xor(t6,xor(or(a,t7),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(xor(t6,or(a,t7)),Z)),xor(cin,xor(xor(t6,or(a,t7)),Z))) ),[1,1],$fot(xor(t6,xor(or(a,t7),Z)))]]) ).
cnf(refute_0_12411,plain,
( xor(xor(t6,or(a,t7)),Z) != xor(t6,xor(or(a,t7),Z))
| xor(cin,xor(xor(t6,or(a,t7)),Z)) = xor(cin,xor(t6,xor(or(a,t7),Z))) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(xor(t6,or(a,t7)),Z)),xor(cin,xor(xor(t6,or(a,t7)),Z))) )],[refute_0_12409,refute_0_12410]) ).
cnf(refute_0_12412,plain,
xor(cin,xor(xor(t6,or(a,t7)),Z)) = xor(cin,xor(t6,xor(or(a,t7),Z))),
inference(resolve,[$cnf( $equal(xor(xor(t6,or(a,t7)),Z),xor(t6,xor(or(a,t7),Z))) )],[refute_0_12408,refute_0_12411]) ).
cnf(refute_0_12413,plain,
( xor(cin,xor(xor(t6,or(a,t7)),Z)) != xor(cin,xor(t6,xor(or(a,t7),Z)))
| xor(cin,xor(xor(t6,or(a,t7)),Z)) != xor(or(t4,xor(t7,or(a,t7))),Z)
| xor(cin,xor(t6,xor(or(a,t7),Z))) = xor(or(t4,xor(t7,or(a,t7))),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(xor(t6,or(a,t7)),Z)),xor(or(t4,xor(t7,or(a,t7))),Z)) ),[0],$fot(xor(cin,xor(t6,xor(or(a,t7),Z))))]]) ).
cnf(refute_0_12414,plain,
( xor(cin,xor(xor(t6,or(a,t7)),Z)) != xor(or(t4,xor(t7,or(a,t7))),Z)
| xor(cin,xor(t6,xor(or(a,t7),Z))) = xor(or(t4,xor(t7,or(a,t7))),Z) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(xor(t6,or(a,t7)),Z)),xor(cin,xor(t6,xor(or(a,t7),Z)))) )],[refute_0_12412,refute_0_12413]) ).
cnf(refute_0_12415,plain,
xor(cin,xor(t6,xor(or(a,t7),Z))) = xor(or(t4,xor(t7,or(a,t7))),Z),
inference(resolve,[$cnf( $equal(xor(cin,xor(xor(t6,or(a,t7)),Z)),xor(or(t4,xor(t7,or(a,t7))),Z)) )],[refute_0_12407,refute_0_12414]) ).
cnf(refute_0_12416,plain,
xor(xor(cin,and(sum,t1)),Z) = xor(cin,xor(and(sum,t1),Z)),
inference(subst,[],[refute_0_526:[bind(X,$fot(cin)),bind(Y,$fot(and(sum,t1)))]]) ).
cnf(refute_0_12417,plain,
or(t4,and(carry,not(t7))) = or(t4,and(carry,not(t7))),
introduced(tautology,[refl,[$fot(or(t4,and(carry,not(t7))))]]) ).
cnf(refute_0_12418,plain,
( and(carry,not(t7)) != not(or(t1,t7))
| or(t4,and(carry,not(t7))) != or(t4,and(carry,not(t7)))
| or(t4,and(carry,not(t7))) = or(t4,not(or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,and(carry,not(t7))),or(t4,and(carry,not(t7)))) ),[1,1],$fot(not(or(t1,t7)))]]) ).
cnf(refute_0_12419,plain,
( and(carry,not(t7)) != not(or(t1,t7))
| or(t4,and(carry,not(t7))) = or(t4,not(or(t1,t7))) ),
inference(resolve,[$cnf( $equal(or(t4,and(carry,not(t7))),or(t4,and(carry,not(t7)))) )],[refute_0_12417,refute_0_12418]) ).
cnf(refute_0_12420,plain,
or(t4,and(carry,not(t7))) = or(t4,not(or(t1,t7))),
inference(resolve,[$cnf( $equal(and(carry,not(t7)),not(or(t1,t7))) )],[refute_0_10975,refute_0_12419]) ).
cnf(refute_0_12421,plain,
( or(t4,and(carry,not(t7))) != or(t4,not(or(t1,t7)))
| or(t4,and(carry,not(t7))) != xor(cin,and(sum,t1))
| or(t4,not(or(t1,t7))) = xor(cin,and(sum,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,and(carry,not(t7))),xor(cin,and(sum,t1))) ),[0],$fot(or(t4,not(or(t1,t7))))]]) ).
cnf(refute_0_12422,plain,
( or(t4,and(carry,not(t7))) != xor(cin,and(sum,t1))
| or(t4,not(or(t1,t7))) = xor(cin,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(or(t4,and(carry,not(t7))),or(t4,not(or(t1,t7)))) )],[refute_0_12420,refute_0_12421]) ).
cnf(refute_0_12423,plain,
or(t4,not(or(t1,t7))) = xor(cin,and(sum,t1)),
inference(resolve,[$cnf( $equal(or(t4,and(carry,not(t7))),xor(cin,and(sum,t1))) )],[refute_0_12207,refute_0_12422]) ).
cnf(refute_0_12424,plain,
( or(t4,xor(t7,or(a,t7))) != or(t4,xor(t7,or(a,t7)))
| xor(t7,or(a,t7)) != not(or(t1,t7))
| or(t4,xor(t7,or(a,t7))) = or(t4,not(or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,xor(t7,or(a,t7))),or(t4,xor(t7,or(a,t7)))) ),[1,1],$fot(not(or(t1,t7)))]]) ).
cnf(refute_0_12425,plain,
( xor(t7,or(a,t7)) != not(or(t1,t7))
| or(t4,xor(t7,or(a,t7))) = or(t4,not(or(t1,t7))) ),
inference(resolve,[$cnf( $equal(or(t4,xor(t7,or(a,t7))),or(t4,xor(t7,or(a,t7)))) )],[refute_0_12074,refute_0_12424]) ).
cnf(refute_0_12426,plain,
or(t4,xor(t7,or(a,t7))) = or(t4,not(or(t1,t7))),
inference(resolve,[$cnf( $equal(xor(t7,or(a,t7)),not(or(t1,t7))) )],[refute_0_12248,refute_0_12425]) ).
cnf(refute_0_12427,plain,
( or(t4,not(or(t1,t7))) != xor(cin,and(sum,t1))
| or(t4,xor(t7,or(a,t7))) != or(t4,not(or(t1,t7)))
| or(t4,xor(t7,or(a,t7))) = xor(cin,and(sum,t1)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t4,xor(t7,or(a,t7))))),bind(Y0,$fot(or(t4,not(or(t1,t7))))),bind(Z0,$fot(xor(cin,and(sum,t1))))]]) ).
cnf(refute_0_12428,plain,
( or(t4,not(or(t1,t7))) != xor(cin,and(sum,t1))
| or(t4,xor(t7,or(a,t7))) = xor(cin,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(or(t4,xor(t7,or(a,t7))),or(t4,not(or(t1,t7)))) )],[refute_0_12426,refute_0_12427]) ).
cnf(refute_0_12429,plain,
or(t4,xor(t7,or(a,t7))) = xor(cin,and(sum,t1)),
inference(resolve,[$cnf( $equal(or(t4,not(or(t1,t7))),xor(cin,and(sum,t1))) )],[refute_0_12423,refute_0_12428]) ).
cnf(refute_0_12430,plain,
xor(or(t4,xor(t7,or(a,t7))),Z) = xor(or(t4,xor(t7,or(a,t7))),Z),
introduced(tautology,[refl,[$fot(xor(or(t4,xor(t7,or(a,t7))),Z))]]) ).
cnf(refute_0_12431,plain,
( or(t4,xor(t7,or(a,t7))) != xor(cin,and(sum,t1))
| xor(or(t4,xor(t7,or(a,t7))),Z) != xor(or(t4,xor(t7,or(a,t7))),Z)
| xor(or(t4,xor(t7,or(a,t7))),Z) = xor(xor(cin,and(sum,t1)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(or(t4,xor(t7,or(a,t7))),Z),xor(or(t4,xor(t7,or(a,t7))),Z)) ),[1,0],$fot(xor(cin,and(sum,t1)))]]) ).
cnf(refute_0_12432,plain,
( or(t4,xor(t7,or(a,t7))) != xor(cin,and(sum,t1))
| xor(or(t4,xor(t7,or(a,t7))),Z) = xor(xor(cin,and(sum,t1)),Z) ),
inference(resolve,[$cnf( $equal(xor(or(t4,xor(t7,or(a,t7))),Z),xor(or(t4,xor(t7,or(a,t7))),Z)) )],[refute_0_12430,refute_0_12431]) ).
cnf(refute_0_12433,plain,
xor(or(t4,xor(t7,or(a,t7))),Z) = xor(xor(cin,and(sum,t1)),Z),
inference(resolve,[$cnf( $equal(or(t4,xor(t7,or(a,t7))),xor(cin,and(sum,t1))) )],[refute_0_12429,refute_0_12432]) ).
cnf(refute_0_12434,plain,
( xor(or(t4,xor(t7,or(a,t7))),Z) != xor(xor(cin,and(sum,t1)),Z)
| xor(xor(cin,and(sum,t1)),Z) != xor(cin,xor(and(sum,t1),Z))
| xor(or(t4,xor(t7,or(a,t7))),Z) = xor(cin,xor(and(sum,t1),Z)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(or(t4,xor(t7,or(a,t7))),Z))),bind(Y0,$fot(xor(xor(cin,and(sum,t1)),Z))),bind(Z0,$fot(xor(cin,xor(and(sum,t1),Z))))]]) ).
cnf(refute_0_12435,plain,
( xor(xor(cin,and(sum,t1)),Z) != xor(cin,xor(and(sum,t1),Z))
| xor(or(t4,xor(t7,or(a,t7))),Z) = xor(cin,xor(and(sum,t1),Z)) ),
inference(resolve,[$cnf( $equal(xor(or(t4,xor(t7,or(a,t7))),Z),xor(xor(cin,and(sum,t1)),Z)) )],[refute_0_12433,refute_0_12434]) ).
cnf(refute_0_12436,plain,
xor(or(t4,xor(t7,or(a,t7))),Z) = xor(cin,xor(and(sum,t1),Z)),
inference(resolve,[$cnf( $equal(xor(xor(cin,and(sum,t1)),Z),xor(cin,xor(and(sum,t1),Z))) )],[refute_0_12416,refute_0_12435]) ).
cnf(refute_0_12437,plain,
( xor(cin,xor(t6,xor(or(a,t7),Z))) != xor(or(t4,xor(t7,or(a,t7))),Z)
| xor(or(t4,xor(t7,or(a,t7))),Z) != xor(cin,xor(and(sum,t1),Z))
| xor(cin,xor(t6,xor(or(a,t7),Z))) = xor(cin,xor(and(sum,t1),Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(cin,xor(t6,xor(or(a,t7),Z))),xor(cin,xor(and(sum,t1),Z))) ),[0],$fot(xor(or(t4,xor(t7,or(a,t7))),Z))]]) ).
cnf(refute_0_12438,plain,
( xor(cin,xor(t6,xor(or(a,t7),Z))) != xor(or(t4,xor(t7,or(a,t7))),Z)
| xor(cin,xor(t6,xor(or(a,t7),Z))) = xor(cin,xor(and(sum,t1),Z)) ),
inference(resolve,[$cnf( $equal(xor(or(t4,xor(t7,or(a,t7))),Z),xor(cin,xor(and(sum,t1),Z))) )],[refute_0_12436,refute_0_12437]) ).
cnf(refute_0_12439,plain,
xor(cin,xor(t6,xor(or(a,t7),Z))) = xor(cin,xor(and(sum,t1),Z)),
inference(resolve,[$cnf( $equal(xor(cin,xor(t6,xor(or(a,t7),Z))),xor(or(t4,xor(t7,or(a,t7))),Z)) )],[refute_0_12415,refute_0_12438]) ).
cnf(refute_0_12440,plain,
xor(t6,xor(or(a,t7),Z)) = xor(Z,and(sum,t1)),
inference(subst,[],[refute_0_11500:[bind(X,$fot(Z))]]) ).
cnf(refute_0_12441,plain,
xor(cin,xor(t6,xor(or(a,t7),Z))) = xor(cin,xor(t6,xor(or(a,t7),Z))),
introduced(tautology,[refl,[$fot(xor(cin,xor(t6,xor(or(a,t7),Z))))]]) ).
cnf(refute_0_12442,plain,
( xor(cin,xor(t6,xor(or(a,t7),Z))) != xor(cin,xor(t6,xor(or(a,t7),Z)))
| xor(t6,xor(or(a,t7),Z)) != xor(Z,and(sum,t1))
| xor(cin,xor(t6,xor(or(a,t7),Z))) = xor(cin,xor(Z,and(sum,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t6,xor(or(a,t7),Z))),xor(cin,xor(t6,xor(or(a,t7),Z)))) ),[1,1],$fot(xor(Z,and(sum,t1)))]]) ).
cnf(refute_0_12443,plain,
( xor(t6,xor(or(a,t7),Z)) != xor(Z,and(sum,t1))
| xor(cin,xor(t6,xor(or(a,t7),Z))) = xor(cin,xor(Z,and(sum,t1))) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t6,xor(or(a,t7),Z))),xor(cin,xor(t6,xor(or(a,t7),Z)))) )],[refute_0_12441,refute_0_12442]) ).
cnf(refute_0_12444,plain,
xor(cin,xor(t6,xor(or(a,t7),Z))) = xor(cin,xor(Z,and(sum,t1))),
inference(resolve,[$cnf( $equal(xor(t6,xor(or(a,t7),Z)),xor(Z,and(sum,t1))) )],[refute_0_12440,refute_0_12443]) ).
cnf(refute_0_12445,plain,
( xor(cin,xor(t6,xor(or(a,t7),Z))) != xor(cin,xor(Z,and(sum,t1)))
| xor(cin,xor(t6,xor(or(a,t7),Z))) != xor(cin,xor(and(sum,t1),Z))
| xor(cin,xor(Z,and(sum,t1))) = xor(cin,xor(and(sum,t1),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t6,xor(or(a,t7),Z))),xor(cin,xor(and(sum,t1),Z))) ),[0],$fot(xor(cin,xor(Z,and(sum,t1))))]]) ).
cnf(refute_0_12446,plain,
( xor(cin,xor(t6,xor(or(a,t7),Z))) != xor(cin,xor(and(sum,t1),Z))
| xor(cin,xor(Z,and(sum,t1))) = xor(cin,xor(and(sum,t1),Z)) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t6,xor(or(a,t7),Z))),xor(cin,xor(Z,and(sum,t1)))) )],[refute_0_12444,refute_0_12445]) ).
cnf(refute_0_12447,plain,
xor(cin,xor(Z,and(sum,t1))) = xor(cin,xor(and(sum,t1),Z)),
inference(resolve,[$cnf( $equal(xor(cin,xor(t6,xor(or(a,t7),Z))),xor(cin,xor(and(sum,t1),Z))) )],[refute_0_12439,refute_0_12446]) ).
cnf(refute_0_12448,plain,
( xor(cin,xor(Z,and(sum,t1))) != xor(cin,xor(and(sum,t1),Z))
| xor(cin,xor(and(sum,t1),Z)) = xor(cin,xor(Z,and(sum,t1))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(cin,xor(Z,and(sum,t1))))),bind(Y0,$fot(xor(cin,xor(and(sum,t1),Z))))]]) ).
cnf(refute_0_12449,plain,
xor(cin,xor(and(sum,t1),Z)) = xor(cin,xor(Z,and(sum,t1))),
inference(resolve,[$cnf( $equal(xor(cin,xor(Z,and(sum,t1))),xor(cin,xor(and(sum,t1),Z))) )],[refute_0_12447,refute_0_12448]) ).
cnf(refute_0_12450,plain,
xor(cin,xor(and(sum,t1),sum)) = xor(cin,xor(sum,and(sum,t1))),
inference(subst,[],[refute_0_12449:[bind(Z,$fot(sum))]]) ).
cnf(refute_0_12451,plain,
( xor(cin,xor(and(sum,t1),sum)) != xor(cin,xor(sum,and(sum,t1)))
| xor(cin,xor(sum,and(sum,t1))) != xor(t4,and(sum,t1))
| xor(cin,xor(and(sum,t1),sum)) = xor(t4,and(sum,t1)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(cin,xor(and(sum,t1),sum)))),bind(Y0,$fot(xor(cin,xor(sum,and(sum,t1))))),bind(Z0,$fot(xor(t4,and(sum,t1))))]]) ).
cnf(refute_0_12452,plain,
( xor(cin,xor(sum,and(sum,t1))) != xor(t4,and(sum,t1))
| xor(cin,xor(and(sum,t1),sum)) = xor(t4,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(and(sum,t1),sum)),xor(cin,xor(sum,and(sum,t1)))) )],[refute_0_12450,refute_0_12451]) ).
cnf(refute_0_12453,plain,
xor(cin,xor(and(sum,t1),sum)) = xor(t4,and(sum,t1)),
inference(resolve,[$cnf( $equal(xor(cin,xor(sum,and(sum,t1))),xor(t4,and(sum,t1))) )],[refute_0_12403,refute_0_12452]) ).
cnf(refute_0_12454,plain,
xor(X,or(t4,xor(t7,or(a,t7)))) = xor(X,or(t4,xor(t7,or(a,t7)))),
introduced(tautology,[refl,[$fot(xor(X,or(t4,xor(t7,or(a,t7)))))]]) ).
cnf(refute_0_12455,plain,
( or(t4,xor(t7,or(a,t7))) != xor(cin,and(sum,t1))
| xor(X,or(t4,xor(t7,or(a,t7)))) != xor(X,or(t4,xor(t7,or(a,t7))))
| xor(X,or(t4,xor(t7,or(a,t7)))) = xor(X,xor(cin,and(sum,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,or(t4,xor(t7,or(a,t7)))),xor(X,or(t4,xor(t7,or(a,t7))))) ),[1,1],$fot(xor(cin,and(sum,t1)))]]) ).
cnf(refute_0_12456,plain,
( or(t4,xor(t7,or(a,t7))) != xor(cin,and(sum,t1))
| xor(X,or(t4,xor(t7,or(a,t7)))) = xor(X,xor(cin,and(sum,t1))) ),
inference(resolve,[$cnf( $equal(xor(X,or(t4,xor(t7,or(a,t7)))),xor(X,or(t4,xor(t7,or(a,t7))))) )],[refute_0_12454,refute_0_12455]) ).
cnf(refute_0_12457,plain,
xor(X,or(t4,xor(t7,or(a,t7)))) = xor(X,xor(cin,and(sum,t1))),
inference(resolve,[$cnf( $equal(or(t4,xor(t7,or(a,t7))),xor(cin,and(sum,t1))) )],[refute_0_12429,refute_0_12456]) ).
cnf(refute_0_12458,plain,
( xor(X,or(t4,xor(t7,or(a,t7)))) != xor(X,xor(cin,and(sum,t1)))
| xor(X,or(t4,xor(t7,or(a,t7)))) != xor(cin,xor(t6,xor(or(a,t7),X)))
| xor(X,xor(cin,and(sum,t1))) = xor(cin,xor(t6,xor(or(a,t7),X))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,or(t4,xor(t7,or(a,t7)))),xor(cin,xor(t6,xor(or(a,t7),X)))) ),[0],$fot(xor(X,xor(cin,and(sum,t1))))]]) ).
cnf(refute_0_12459,plain,
( xor(X,or(t4,xor(t7,or(a,t7)))) != xor(cin,xor(t6,xor(or(a,t7),X)))
| xor(X,xor(cin,and(sum,t1))) = xor(cin,xor(t6,xor(or(a,t7),X))) ),
inference(resolve,[$cnf( $equal(xor(X,or(t4,xor(t7,or(a,t7)))),xor(X,xor(cin,and(sum,t1)))) )],[refute_0_12457,refute_0_12458]) ).
cnf(refute_0_12460,plain,
xor(cin,xor(t6,xor(or(a,t7),X))) = xor(cin,xor(and(sum,t1),X)),
inference(subst,[],[refute_0_12439:[bind(Z,$fot(X))]]) ).
cnf(refute_0_12461,plain,
( xor(X,xor(cin,and(sum,t1))) != xor(cin,xor(t6,xor(or(a,t7),X)))
| xor(cin,xor(t6,xor(or(a,t7),X))) != xor(cin,xor(and(sum,t1),X))
| xor(X,xor(cin,and(sum,t1))) = xor(cin,xor(and(sum,t1),X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(X,xor(cin,and(sum,t1))),xor(cin,xor(and(sum,t1),X))) ),[0],$fot(xor(cin,xor(t6,xor(or(a,t7),X))))]]) ).
cnf(refute_0_12462,plain,
( xor(X,xor(cin,and(sum,t1))) != xor(cin,xor(t6,xor(or(a,t7),X)))
| xor(X,xor(cin,and(sum,t1))) = xor(cin,xor(and(sum,t1),X)) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t6,xor(or(a,t7),X))),xor(cin,xor(and(sum,t1),X))) )],[refute_0_12460,refute_0_12461]) ).
cnf(refute_0_12463,plain,
( xor(X,or(t4,xor(t7,or(a,t7)))) != xor(cin,xor(t6,xor(or(a,t7),X)))
| xor(X,xor(cin,and(sum,t1))) = xor(cin,xor(and(sum,t1),X)) ),
inference(resolve,[$cnf( $equal(xor(X,xor(cin,and(sum,t1))),xor(cin,xor(t6,xor(or(a,t7),X)))) )],[refute_0_12459,refute_0_12462]) ).
cnf(refute_0_12464,plain,
xor(X,xor(cin,and(sum,t1))) = xor(cin,xor(and(sum,t1),X)),
inference(resolve,[$cnf( $equal(xor(X,or(t4,xor(t7,or(a,t7)))),xor(cin,xor(t6,xor(or(a,t7),X)))) )],[refute_0_11484,refute_0_12463]) ).
cnf(refute_0_12465,plain,
xor(X,xor(cin,and(sum,t1))) = xor(X,xor(cin,and(sum,t1))),
introduced(tautology,[refl,[$fot(xor(X,xor(cin,and(sum,t1))))]]) ).
cnf(refute_0_12466,plain,
( xor(X,xor(cin,and(sum,t1))) != xor(X,xor(cin,and(sum,t1)))
| xor(cin,and(sum,t1)) != or(t4,and(carry_def,cin))
| xor(X,xor(cin,and(sum,t1))) = xor(X,or(t4,and(carry_def,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,xor(cin,and(sum,t1))),xor(X,xor(cin,and(sum,t1)))) ),[1,1],$fot(or(t4,and(carry_def,cin)))]]) ).
cnf(refute_0_12467,plain,
( xor(cin,and(sum,t1)) != or(t4,and(carry_def,cin))
| xor(X,xor(cin,and(sum,t1))) = xor(X,or(t4,and(carry_def,cin))) ),
inference(resolve,[$cnf( $equal(xor(X,xor(cin,and(sum,t1))),xor(X,xor(cin,and(sum,t1)))) )],[refute_0_12465,refute_0_12466]) ).
cnf(refute_0_12468,plain,
xor(X,xor(cin,and(sum,t1))) = xor(X,or(t4,and(carry_def,cin))),
inference(resolve,[$cnf( $equal(xor(cin,and(sum,t1)),or(t4,and(carry_def,cin))) )],[refute_0_12330,refute_0_12467]) ).
cnf(refute_0_12469,plain,
( xor(X,xor(cin,and(sum,t1))) != xor(X,or(t4,and(carry_def,cin)))
| xor(X,xor(cin,and(sum,t1))) != xor(cin,xor(and(sum,t1),X))
| xor(X,or(t4,and(carry_def,cin))) = xor(cin,xor(and(sum,t1),X)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,xor(cin,and(sum,t1))),xor(cin,xor(and(sum,t1),X))) ),[0],$fot(xor(X,or(t4,and(carry_def,cin))))]]) ).
cnf(refute_0_12470,plain,
( xor(X,xor(cin,and(sum,t1))) != xor(cin,xor(and(sum,t1),X))
| xor(X,or(t4,and(carry_def,cin))) = xor(cin,xor(and(sum,t1),X)) ),
inference(resolve,[$cnf( $equal(xor(X,xor(cin,and(sum,t1))),xor(X,or(t4,and(carry_def,cin)))) )],[refute_0_12468,refute_0_12469]) ).
cnf(refute_0_12471,plain,
xor(X,or(t4,and(carry_def,cin))) = xor(cin,xor(and(sum,t1),X)),
inference(resolve,[$cnf( $equal(xor(X,xor(cin,and(sum,t1))),xor(cin,xor(and(sum,t1),X))) )],[refute_0_12464,refute_0_12470]) ).
cnf(refute_0_12472,plain,
xor(sum,or(t4,and(carry_def,cin))) = xor(cin,xor(and(sum,t1),sum)),
inference(subst,[],[refute_0_12471:[bind(X,$fot(sum))]]) ).
cnf(refute_0_12473,plain,
( xor(cin,xor(and(sum,t1),sum)) != xor(t4,and(sum,t1))
| xor(sum,or(t4,and(carry_def,cin))) != xor(cin,xor(and(sum,t1),sum))
| xor(sum,or(t4,and(carry_def,cin))) = xor(t4,and(sum,t1)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(sum,or(t4,and(carry_def,cin))))),bind(Y0,$fot(xor(cin,xor(and(sum,t1),sum)))),bind(Z0,$fot(xor(t4,and(sum,t1))))]]) ).
cnf(refute_0_12474,plain,
( xor(cin,xor(and(sum,t1),sum)) != xor(t4,and(sum,t1))
| xor(sum,or(t4,and(carry_def,cin))) = xor(t4,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(xor(sum,or(t4,and(carry_def,cin))),xor(cin,xor(and(sum,t1),sum))) )],[refute_0_12472,refute_0_12473]) ).
cnf(refute_0_12475,plain,
xor(sum,or(t4,and(carry_def,cin))) = xor(t4,and(sum,t1)),
inference(resolve,[$cnf( $equal(xor(cin,xor(and(sum,t1),sum)),xor(t4,and(sum,t1))) )],[refute_0_12453,refute_0_12474]) ).
cnf(refute_0_12476,plain,
( xor(sum,or(t4,and(carry_def,cin))) != xor(cin,xor(t6,and(t6,or(t1,t7))))
| xor(sum,or(t4,and(carry_def,cin))) != xor(t4,and(sum,t1))
| xor(t4,and(sum,t1)) = xor(cin,xor(t6,and(t6,or(t1,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,or(t4,and(carry_def,cin))),xor(cin,xor(t6,and(t6,or(t1,t7))))) ),[0],$fot(xor(t4,and(sum,t1)))]]) ).
cnf(refute_0_12477,plain,
( xor(sum,or(t4,and(carry_def,cin))) != xor(cin,xor(t6,and(t6,or(t1,t7))))
| xor(t4,and(sum,t1)) = xor(cin,xor(t6,and(t6,or(t1,t7)))) ),
inference(resolve,[$cnf( $equal(xor(sum,or(t4,and(carry_def,cin))),xor(t4,and(sum,t1))) )],[refute_0_12475,refute_0_12476]) ).
cnf(refute_0_12478,plain,
or(and(t5,not(xor(t7,or(t1,and(t3,t7))))),and(not(t5),xor(t7,or(t1,and(t3,t7))))) = xor(t5,xor(t7,or(t1,and(t3,t7)))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t5)),bind(Y,$fot(xor(t7,or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_12479,plain,
and(not(t5),xor(t7,or(t1,and(t3,t7)))) = and(cin,and(t4,xor(t7,or(t1,and(t3,t7))))),
inference(subst,[],[refute_0_841:[bind(X_222,$fot(xor(t7,or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_12480,plain,
( and(not(t5),xor(t7,or(t1,and(t3,t7)))) != and(cin,and(t4,xor(t7,or(t1,and(t3,t7)))))
| and(t4,xor(t7,or(t1,and(t3,t7)))) != ll0
| and(not(t5),xor(t7,or(t1,and(t3,t7)))) = and(cin,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),xor(t7,or(t1,and(t3,t7)))),and(cin,and(t4,xor(t7,or(t1,and(t3,t7)))))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_12481,plain,
( and(not(t5),xor(t7,or(t1,and(t3,t7)))) != and(cin,and(t4,xor(t7,or(t1,and(t3,t7)))))
| and(not(t5),xor(t7,or(t1,and(t3,t7)))) = and(cin,ll0) ),
inference(resolve,[$cnf( $equal(and(t4,xor(t7,or(t1,and(t3,t7)))),ll0) )],[refute_0_7348,refute_0_12480]) ).
cnf(refute_0_12482,plain,
and(not(t5),xor(t7,or(t1,and(t3,t7)))) = and(cin,ll0),
inference(resolve,[$cnf( $equal(and(not(t5),xor(t7,or(t1,and(t3,t7)))),and(cin,and(t4,xor(t7,or(t1,and(t3,t7)))))) )],[refute_0_12479,refute_0_12481]) ).
cnf(refute_0_12483,plain,
( and(cin,ll0) != ll0
| and(not(t5),xor(t7,or(t1,and(t3,t7)))) != and(cin,ll0)
| and(not(t5),xor(t7,or(t1,and(t3,t7)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),xor(t7,or(t1,and(t3,t7)))),and(cin,ll0)) ),[1],$fot(ll0)]]) ).
cnf(refute_0_12484,plain,
( and(not(t5),xor(t7,or(t1,and(t3,t7)))) != and(cin,ll0)
| and(not(t5),xor(t7,or(t1,and(t3,t7)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(cin,ll0),ll0) )],[refute_0_927,refute_0_12483]) ).
cnf(refute_0_12485,plain,
and(not(t5),xor(t7,or(t1,and(t3,t7)))) = ll0,
inference(resolve,[$cnf( $equal(and(not(t5),xor(t7,or(t1,and(t3,t7)))),and(cin,ll0)) )],[refute_0_12482,refute_0_12484]) ).
cnf(refute_0_12486,plain,
( and(not(t5),xor(t7,or(t1,and(t3,t7)))) != ll0
| or(and(t5,not(xor(t7,or(t1,and(t3,t7))))),and(not(t5),xor(t7,or(t1,and(t3,t7))))) != xor(t5,xor(t7,or(t1,and(t3,t7))))
| or(and(t5,not(xor(t7,or(t1,and(t3,t7))))),ll0) = xor(t5,xor(t7,or(t1,and(t3,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t5,not(xor(t7,or(t1,and(t3,t7))))),and(not(t5),xor(t7,or(t1,and(t3,t7))))),xor(t5,xor(t7,or(t1,and(t3,t7))))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_12487,plain,
( or(and(t5,not(xor(t7,or(t1,and(t3,t7))))),and(not(t5),xor(t7,or(t1,and(t3,t7))))) != xor(t5,xor(t7,or(t1,and(t3,t7))))
| or(and(t5,not(xor(t7,or(t1,and(t3,t7))))),ll0) = xor(t5,xor(t7,or(t1,and(t3,t7)))) ),
inference(resolve,[$cnf( $equal(and(not(t5),xor(t7,or(t1,and(t3,t7)))),ll0) )],[refute_0_12485,refute_0_12486]) ).
cnf(refute_0_12488,plain,
or(and(t5,not(xor(t7,or(t1,and(t3,t7))))),ll0) = xor(t5,xor(t7,or(t1,and(t3,t7)))),
inference(resolve,[$cnf( $equal(or(and(t5,not(xor(t7,or(t1,and(t3,t7))))),and(not(t5),xor(t7,or(t1,and(t3,t7))))),xor(t5,xor(t7,or(t1,and(t3,t7))))) )],[refute_0_12478,refute_0_12487]) ).
cnf(refute_0_12489,plain,
or(and(t5,not(xor(t7,or(t1,and(t3,t7))))),ll0) = and(t5,not(xor(t7,or(t1,and(t3,t7))))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t5,not(xor(t7,or(t1,and(t3,t7)))))))]]) ).
cnf(refute_0_12490,plain,
( or(and(t5,not(xor(t7,or(t1,and(t3,t7))))),ll0) != and(t5,not(xor(t7,or(t1,and(t3,t7)))))
| or(and(t5,not(xor(t7,or(t1,and(t3,t7))))),ll0) != xor(t5,xor(t7,or(t1,and(t3,t7))))
| and(t5,not(xor(t7,or(t1,and(t3,t7))))) = xor(t5,xor(t7,or(t1,and(t3,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t5,not(xor(t7,or(t1,and(t3,t7))))),ll0),xor(t5,xor(t7,or(t1,and(t3,t7))))) ),[0],$fot(and(t5,not(xor(t7,or(t1,and(t3,t7))))))]]) ).
cnf(refute_0_12491,plain,
( or(and(t5,not(xor(t7,or(t1,and(t3,t7))))),ll0) != xor(t5,xor(t7,or(t1,and(t3,t7))))
| and(t5,not(xor(t7,or(t1,and(t3,t7))))) = xor(t5,xor(t7,or(t1,and(t3,t7)))) ),
inference(resolve,[$cnf( $equal(or(and(t5,not(xor(t7,or(t1,and(t3,t7))))),ll0),and(t5,not(xor(t7,or(t1,and(t3,t7)))))) )],[refute_0_12489,refute_0_12490]) ).
cnf(refute_0_12492,plain,
xor(t5,xor(t7,or(t1,and(t3,t7)))) = xor(cin,or(t1,and(t3,t7))),
inference(subst,[],[refute_0_8910:[bind(Z,$fot(or(t1,and(t3,t7))))]]) ).
cnf(refute_0_12493,plain,
( and(t5,not(xor(t7,or(t1,and(t3,t7))))) != xor(t5,xor(t7,or(t1,and(t3,t7))))
| xor(t5,xor(t7,or(t1,and(t3,t7)))) != xor(cin,or(t1,and(t3,t7)))
| and(t5,not(xor(t7,or(t1,and(t3,t7))))) = xor(cin,or(t1,and(t3,t7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t5,not(xor(t7,or(t1,and(t3,t7))))),xor(cin,or(t1,and(t3,t7)))) ),[0],$fot(xor(t5,xor(t7,or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_12494,plain,
( and(t5,not(xor(t7,or(t1,and(t3,t7))))) != xor(t5,xor(t7,or(t1,and(t3,t7))))
| and(t5,not(xor(t7,or(t1,and(t3,t7))))) = xor(cin,or(t1,and(t3,t7))) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(t7,or(t1,and(t3,t7)))),xor(cin,or(t1,and(t3,t7)))) )],[refute_0_12492,refute_0_12493]) ).
cnf(refute_0_12495,plain,
( or(and(t5,not(xor(t7,or(t1,and(t3,t7))))),ll0) != xor(t5,xor(t7,or(t1,and(t3,t7))))
| and(t5,not(xor(t7,or(t1,and(t3,t7))))) = xor(cin,or(t1,and(t3,t7))) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t7,or(t1,and(t3,t7))))),xor(t5,xor(t7,or(t1,and(t3,t7))))) )],[refute_0_12491,refute_0_12494]) ).
cnf(refute_0_12496,plain,
and(t5,not(xor(t7,or(t1,and(t3,t7))))) = xor(cin,or(t1,and(t3,t7))),
inference(resolve,[$cnf( $equal(or(and(t5,not(xor(t7,or(t1,and(t3,t7))))),ll0),xor(t5,xor(t7,or(t1,and(t3,t7))))) )],[refute_0_12488,refute_0_12495]) ).
cnf(refute_0_12497,plain,
and(t5,not(xor(t7,or(t1,and(t3,t7))))) = and(t5,not(xor(t7,or(t1,and(t3,t7))))),
introduced(tautology,[refl,[$fot(and(t5,not(xor(t7,or(t1,and(t3,t7))))))]]) ).
cnf(refute_0_12498,plain,
( and(t5,not(xor(t7,or(t1,and(t3,t7))))) != and(t5,not(xor(t7,or(t1,and(t3,t7)))))
| not(xor(t7,or(t1,and(t3,t7)))) != not(xor(t7,or(t1,t7)))
| and(t5,not(xor(t7,or(t1,and(t3,t7))))) = and(t5,not(xor(t7,or(t1,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,not(xor(t7,or(t1,and(t3,t7))))),and(t5,not(xor(t7,or(t1,and(t3,t7)))))) ),[1,1],$fot(not(xor(t7,or(t1,t7))))]]) ).
cnf(refute_0_12499,plain,
( not(xor(t7,or(t1,and(t3,t7)))) != not(xor(t7,or(t1,t7)))
| and(t5,not(xor(t7,or(t1,and(t3,t7))))) = and(t5,not(xor(t7,or(t1,t7)))) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t7,or(t1,and(t3,t7))))),and(t5,not(xor(t7,or(t1,and(t3,t7)))))) )],[refute_0_12497,refute_0_12498]) ).
cnf(refute_0_12500,plain,
and(t5,not(xor(t7,or(t1,and(t3,t7))))) = and(t5,not(xor(t7,or(t1,t7)))),
inference(resolve,[$cnf( $equal(not(xor(t7,or(t1,and(t3,t7)))),not(xor(t7,or(t1,t7)))) )],[refute_0_11523,refute_0_12499]) ).
cnf(refute_0_12501,plain,
( and(t5,not(xor(t7,or(t1,and(t3,t7))))) != and(t5,not(xor(t7,or(t1,t7))))
| and(t5,not(xor(t7,or(t1,and(t3,t7))))) != xor(cin,or(t1,and(t3,t7)))
| and(t5,not(xor(t7,or(t1,t7)))) = xor(cin,or(t1,and(t3,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,not(xor(t7,or(t1,and(t3,t7))))),xor(cin,or(t1,and(t3,t7)))) ),[0],$fot(and(t5,not(xor(t7,or(t1,t7)))))]]) ).
cnf(refute_0_12502,plain,
( and(t5,not(xor(t7,or(t1,and(t3,t7))))) != xor(cin,or(t1,and(t3,t7)))
| and(t5,not(xor(t7,or(t1,t7)))) = xor(cin,or(t1,and(t3,t7))) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t7,or(t1,and(t3,t7))))),and(t5,not(xor(t7,or(t1,t7))))) )],[refute_0_12500,refute_0_12501]) ).
cnf(refute_0_12503,plain,
xor(cin,or(t1,and(t3,t7))) = xor(cin,or(t1,and(t3,t7))),
introduced(tautology,[refl,[$fot(xor(cin,or(t1,and(t3,t7))))]]) ).
cnf(refute_0_12504,plain,
( or(t1,and(t3,t7)) != or(t1,t7)
| xor(cin,or(t1,and(t3,t7))) != xor(cin,or(t1,and(t3,t7)))
| xor(cin,or(t1,and(t3,t7))) = xor(cin,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,or(t1,and(t3,t7))),xor(cin,or(t1,and(t3,t7)))) ),[1,1],$fot(or(t1,t7))]]) ).
cnf(refute_0_12505,plain,
( or(t1,and(t3,t7)) != or(t1,t7)
| xor(cin,or(t1,and(t3,t7))) = xor(cin,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(xor(cin,or(t1,and(t3,t7))),xor(cin,or(t1,and(t3,t7)))) )],[refute_0_12503,refute_0_12504]) ).
cnf(refute_0_12506,plain,
xor(cin,or(t1,and(t3,t7))) = xor(cin,or(t1,t7)),
inference(resolve,[$cnf( $equal(or(t1,and(t3,t7)),or(t1,t7)) )],[refute_0_11034,refute_0_12505]) ).
cnf(refute_0_12507,plain,
( and(t5,not(xor(t7,or(t1,t7)))) != xor(cin,or(t1,and(t3,t7)))
| xor(cin,or(t1,and(t3,t7))) != xor(cin,or(t1,t7))
| and(t5,not(xor(t7,or(t1,t7)))) = xor(cin,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t5,not(xor(t7,or(t1,t7)))),xor(cin,or(t1,t7))) ),[0],$fot(xor(cin,or(t1,and(t3,t7))))]]) ).
cnf(refute_0_12508,plain,
( and(t5,not(xor(t7,or(t1,t7)))) != xor(cin,or(t1,and(t3,t7)))
| and(t5,not(xor(t7,or(t1,t7)))) = xor(cin,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(xor(cin,or(t1,and(t3,t7))),xor(cin,or(t1,t7))) )],[refute_0_12506,refute_0_12507]) ).
cnf(refute_0_12509,plain,
( and(t5,not(xor(t7,or(t1,and(t3,t7))))) != xor(cin,or(t1,and(t3,t7)))
| and(t5,not(xor(t7,or(t1,t7)))) = xor(cin,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t7,or(t1,t7)))),xor(cin,or(t1,and(t3,t7)))) )],[refute_0_12502,refute_0_12508]) ).
cnf(refute_0_12510,plain,
and(t5,not(xor(t7,or(t1,t7)))) = xor(cin,or(t1,t7)),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t7,or(t1,and(t3,t7))))),xor(cin,or(t1,and(t3,t7)))) )],[refute_0_12496,refute_0_12509]) ).
cnf(refute_0_12511,plain,
( not(xor(t7,or(t1,t7))) != not(xor(t7,or(t1,t7)))
| xor(t7,or(t1,t7)) != and(sum,and(t1,t6))
| not(xor(t7,or(t1,t7))) = not(and(sum,and(t1,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t7,or(t1,t7))),not(xor(t7,or(t1,t7)))) ),[1,0],$fot(and(sum,and(t1,t6)))]]) ).
cnf(refute_0_12512,plain,
( xor(t7,or(t1,t7)) != and(sum,and(t1,t6))
| not(xor(t7,or(t1,t7))) = not(and(sum,and(t1,t6))) ),
inference(resolve,[$cnf( $equal(not(xor(t7,or(t1,t7))),not(xor(t7,or(t1,t7)))) )],[refute_0_11536,refute_0_12511]) ).
cnf(refute_0_12513,plain,
not(xor(t7,or(t1,t7))) = not(and(sum,and(t1,t6))),
inference(resolve,[$cnf( $equal(xor(t7,or(t1,t7)),and(sum,and(t1,t6))) )],[refute_0_11136,refute_0_12512]) ).
cnf(refute_0_12514,plain,
and(t5,not(xor(t7,or(t1,t7)))) = and(t5,not(xor(t7,or(t1,t7)))),
introduced(tautology,[refl,[$fot(and(t5,not(xor(t7,or(t1,t7)))))]]) ).
cnf(refute_0_12515,plain,
( and(t5,not(xor(t7,or(t1,t7)))) != and(t5,not(xor(t7,or(t1,t7))))
| not(xor(t7,or(t1,t7))) != not(and(sum,and(t1,t6)))
| and(t5,not(xor(t7,or(t1,t7)))) = and(t5,not(and(sum,and(t1,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,not(xor(t7,or(t1,t7)))),and(t5,not(xor(t7,or(t1,t7))))) ),[1,1],$fot(not(and(sum,and(t1,t6))))]]) ).
cnf(refute_0_12516,plain,
( not(xor(t7,or(t1,t7))) != not(and(sum,and(t1,t6)))
| and(t5,not(xor(t7,or(t1,t7)))) = and(t5,not(and(sum,and(t1,t6)))) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t7,or(t1,t7)))),and(t5,not(xor(t7,or(t1,t7))))) )],[refute_0_12514,refute_0_12515]) ).
cnf(refute_0_12517,plain,
and(t5,not(xor(t7,or(t1,t7)))) = and(t5,not(and(sum,and(t1,t6)))),
inference(resolve,[$cnf( $equal(not(xor(t7,or(t1,t7))),not(and(sum,and(t1,t6)))) )],[refute_0_12513,refute_0_12516]) ).
cnf(refute_0_12518,plain,
( and(t5,not(xor(t7,or(t1,t7)))) != and(t5,not(and(sum,and(t1,t6))))
| and(t5,not(xor(t7,or(t1,t7)))) != xor(cin,or(t1,t7))
| and(t5,not(and(sum,and(t1,t6)))) = xor(cin,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,not(xor(t7,or(t1,t7)))),xor(cin,or(t1,t7))) ),[0],$fot(and(t5,not(and(sum,and(t1,t6)))))]]) ).
cnf(refute_0_12519,plain,
( and(t5,not(xor(t7,or(t1,t7)))) != xor(cin,or(t1,t7))
| and(t5,not(and(sum,and(t1,t6)))) = xor(cin,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t7,or(t1,t7)))),and(t5,not(and(sum,and(t1,t6))))) )],[refute_0_12517,refute_0_12518]) ).
cnf(refute_0_12520,plain,
and(t5,not(and(sum,and(t1,t6)))) = xor(cin,or(t1,t7)),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t7,or(t1,t7)))),xor(cin,or(t1,t7))) )],[refute_0_12510,refute_0_12519]) ).
cnf(refute_0_12521,plain,
not(and(sum,and(t1,t6))) = not(and(sum,and(t1,t6))),
introduced(tautology,[refl,[$fot(not(and(sum,and(t1,t6))))]]) ).
cnf(refute_0_12522,plain,
( and(sum,and(t1,t6)) != not(or(a,t7))
| not(and(sum,and(t1,t6))) != not(and(sum,and(t1,t6)))
| not(and(sum,and(t1,t6))) = not(not(or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(sum,and(t1,t6))),not(and(sum,and(t1,t6)))) ),[1,0],$fot(not(or(a,t7)))]]) ).
cnf(refute_0_12523,plain,
( and(sum,and(t1,t6)) != not(or(a,t7))
| not(and(sum,and(t1,t6))) = not(not(or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(and(sum,and(t1,t6))),not(and(sum,and(t1,t6)))) )],[refute_0_12521,refute_0_12522]) ).
cnf(refute_0_12524,plain,
not(and(sum,and(t1,t6))) = not(not(or(a,t7))),
inference(resolve,[$cnf( $equal(and(sum,and(t1,t6)),not(or(a,t7))) )],[refute_0_11151,refute_0_12523]) ).
cnf(refute_0_12525,plain,
( not(and(sum,and(t1,t6))) != not(not(or(a,t7)))
| not(not(or(a,t7))) != or(a,t7)
| not(and(sum,and(t1,t6))) = or(a,t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(sum,and(t1,t6))))),bind(Y0,$fot(not(not(or(a,t7))))),bind(Z0,$fot(or(a,t7)))]]) ).
cnf(refute_0_12526,plain,
( not(not(or(a,t7))) != or(a,t7)
| not(and(sum,and(t1,t6))) = or(a,t7) ),
inference(resolve,[$cnf( $equal(not(and(sum,and(t1,t6))),not(not(or(a,t7)))) )],[refute_0_12524,refute_0_12525]) ).
cnf(refute_0_12527,plain,
not(and(sum,and(t1,t6))) = or(a,t7),
inference(resolve,[$cnf( $equal(not(not(or(a,t7))),or(a,t7)) )],[refute_0_2739,refute_0_12526]) ).
cnf(refute_0_12528,plain,
and(t5,not(and(sum,and(t1,t6)))) = and(t5,not(and(sum,and(t1,t6)))),
introduced(tautology,[refl,[$fot(and(t5,not(and(sum,and(t1,t6)))))]]) ).
cnf(refute_0_12529,plain,
( and(t5,not(and(sum,and(t1,t6)))) != and(t5,not(and(sum,and(t1,t6))))
| not(and(sum,and(t1,t6))) != or(a,t7)
| and(t5,not(and(sum,and(t1,t6)))) = and(t5,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,not(and(sum,and(t1,t6)))),and(t5,not(and(sum,and(t1,t6))))) ),[1,1],$fot(or(a,t7))]]) ).
cnf(refute_0_12530,plain,
( not(and(sum,and(t1,t6))) != or(a,t7)
| and(t5,not(and(sum,and(t1,t6)))) = and(t5,or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(t5,not(and(sum,and(t1,t6)))),and(t5,not(and(sum,and(t1,t6))))) )],[refute_0_12528,refute_0_12529]) ).
cnf(refute_0_12531,plain,
and(t5,not(and(sum,and(t1,t6)))) = and(t5,or(a,t7)),
inference(resolve,[$cnf( $equal(not(and(sum,and(t1,t6))),or(a,t7)) )],[refute_0_12527,refute_0_12530]) ).
cnf(refute_0_12532,plain,
( and(t5,not(and(sum,and(t1,t6)))) != and(t5,or(a,t7))
| and(t5,not(and(sum,and(t1,t6)))) != xor(cin,or(t1,t7))
| and(t5,or(a,t7)) = xor(cin,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,not(and(sum,and(t1,t6)))),xor(cin,or(t1,t7))) ),[0],$fot(and(t5,or(a,t7)))]]) ).
cnf(refute_0_12533,plain,
( and(t5,not(and(sum,and(t1,t6)))) != xor(cin,or(t1,t7))
| and(t5,or(a,t7)) = xor(cin,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(t5,not(and(sum,and(t1,t6)))),and(t5,or(a,t7))) )],[refute_0_12531,refute_0_12532]) ).
cnf(refute_0_12534,plain,
and(t5,or(a,t7)) = xor(cin,or(t1,t7)),
inference(resolve,[$cnf( $equal(and(t5,not(and(sum,and(t1,t6)))),xor(cin,or(t1,t7))) )],[refute_0_12520,refute_0_12533]) ).
cnf(refute_0_12535,plain,
( and(t5,or(a,t7)) != xor(cin,or(t1,t7))
| xor(cin,or(t1,t7)) = and(t5,or(a,t7)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t5,or(a,t7)))),bind(Y0,$fot(xor(cin,or(t1,t7))))]]) ).
cnf(refute_0_12536,plain,
xor(cin,or(t1,t7)) = and(t5,or(a,t7)),
inference(resolve,[$cnf( $equal(and(t5,or(a,t7)),xor(cin,or(t1,t7))) )],[refute_0_12534,refute_0_12535]) ).
cnf(refute_0_12537,plain,
not(xor(cin,or(t1,t7))) = not(xor(cin,or(t1,t7))),
introduced(tautology,[refl,[$fot(not(xor(cin,or(t1,t7))))]]) ).
cnf(refute_0_12538,plain,
( not(xor(cin,or(t1,t7))) != not(xor(cin,or(t1,t7)))
| xor(cin,or(t1,t7)) != and(t5,or(a,t7))
| not(xor(cin,or(t1,t7))) = not(and(t5,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(cin,or(t1,t7))),not(xor(cin,or(t1,t7)))) ),[1,0],$fot(and(t5,or(a,t7)))]]) ).
cnf(refute_0_12539,plain,
( xor(cin,or(t1,t7)) != and(t5,or(a,t7))
| not(xor(cin,or(t1,t7))) = not(and(t5,or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(xor(cin,or(t1,t7))),not(xor(cin,or(t1,t7)))) )],[refute_0_12537,refute_0_12538]) ).
cnf(refute_0_12540,plain,
not(xor(cin,or(t1,t7))) = not(and(t5,or(a,t7))),
inference(resolve,[$cnf( $equal(xor(cin,or(t1,t7)),and(t5,or(a,t7))) )],[refute_0_12536,refute_0_12539]) ).
cnf(refute_0_12541,plain,
( not(and(t5,or(a,t7))) != xor(t5,or(a,t7))
| not(xor(cin,or(t1,t7))) != not(and(t5,or(a,t7)))
| not(xor(cin,or(t1,t7))) = xor(t5,or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(cin,or(t1,t7))))),bind(Y0,$fot(not(and(t5,or(a,t7))))),bind(Z0,$fot(xor(t5,or(a,t7))))]]) ).
cnf(refute_0_12542,plain,
( not(and(t5,or(a,t7))) != xor(t5,or(a,t7))
| not(xor(cin,or(t1,t7))) = xor(t5,or(a,t7)) ),
inference(resolve,[$cnf( $equal(not(xor(cin,or(t1,t7))),not(and(t5,or(a,t7)))) )],[refute_0_12540,refute_0_12541]) ).
cnf(refute_0_12543,plain,
not(xor(cin,or(t1,t7))) = xor(t5,or(a,t7)),
inference(resolve,[$cnf( $equal(not(and(t5,or(a,t7))),xor(t5,or(a,t7))) )],[refute_0_11865,refute_0_12542]) ).
cnf(refute_0_12544,plain,
xor(cin,not(or(t1,t7))) = not(xor(cin,or(t1,t7))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(cin)),bind(X_334,$fot(or(t1,t7)))]]) ).
cnf(refute_0_12545,plain,
( not(xor(cin,or(t1,t7))) != xor(t5,or(a,t7))
| xor(cin,not(or(t1,t7))) != not(xor(cin,or(t1,t7)))
| xor(cin,not(or(t1,t7))) = xor(t5,or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(cin,not(or(t1,t7))))),bind(Y0,$fot(not(xor(cin,or(t1,t7))))),bind(Z0,$fot(xor(t5,or(a,t7))))]]) ).
cnf(refute_0_12546,plain,
( not(xor(cin,or(t1,t7))) != xor(t5,or(a,t7))
| xor(cin,not(or(t1,t7))) = xor(t5,or(a,t7)) ),
inference(resolve,[$cnf( $equal(xor(cin,not(or(t1,t7))),not(xor(cin,or(t1,t7)))) )],[refute_0_12544,refute_0_12545]) ).
cnf(refute_0_12547,plain,
xor(cin,not(or(t1,t7))) = xor(t5,or(a,t7)),
inference(resolve,[$cnf( $equal(not(xor(cin,or(t1,t7))),xor(t5,or(a,t7))) )],[refute_0_12543,refute_0_12546]) ).
cnf(refute_0_12548,plain,
or(and(t6,not(xor(sum,or(carry,t7)))),and(not(t6),xor(sum,or(carry,t7)))) = xor(t6,xor(sum,or(carry,t7))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t6)),bind(Y,$fot(xor(sum,or(carry,t7))))]]) ).
cnf(refute_0_12549,plain,
and(or(t6,not(xor(sum,or(carry,t7)))),not(or(not(xor(sum,or(carry,t7))),t6))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(not(xor(sum,or(carry,t7))))),bind(X_28,$fot(t6))]]) ).
cnf(refute_0_12550,plain,
ll1 = or(t6,not(and(t6,not(xor(t7,or(carry,t7)))))),
inference(subst,[],[refute_0_7235:[bind(Y,$fot(not(xor(t7,or(carry,t7))))),bind(X_53,$fot(t6))]]) ).
cnf(refute_0_12551,plain,
( and(t6,not(xor(t7,or(carry,t7)))) != xor(sum,or(carry,t7))
| ll1 != or(t6,not(and(t6,not(xor(t7,or(carry,t7))))))
| ll1 = or(t6,not(xor(sum,or(carry,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t6,not(and(t6,not(xor(t7,or(carry,t7))))))) ),[1,1,0],$fot(xor(sum,or(carry,t7)))]]) ).
cnf(refute_0_12552,plain,
( ll1 != or(t6,not(and(t6,not(xor(t7,or(carry,t7))))))
| ll1 = or(t6,not(xor(sum,or(carry,t7)))) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(t7,or(carry,t7)))),xor(sum,or(carry,t7))) )],[refute_0_8534,refute_0_12551]) ).
cnf(refute_0_12553,plain,
ll1 = or(t6,not(xor(sum,or(carry,t7)))),
inference(resolve,[$cnf( $equal(ll1,or(t6,not(and(t6,not(xor(t7,or(carry,t7))))))) )],[refute_0_12550,refute_0_12552]) ).
cnf(refute_0_12554,plain,
( ll1 != or(t6,not(xor(sum,or(carry,t7))))
| or(t6,not(xor(sum,or(carry,t7)))) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(t6,not(xor(sum,or(carry,t7))))))]]) ).
cnf(refute_0_12555,plain,
or(t6,not(xor(sum,or(carry,t7)))) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(t6,not(xor(sum,or(carry,t7))))) )],[refute_0_12553,refute_0_12554]) ).
cnf(refute_0_12556,plain,
( and(or(t6,not(xor(sum,or(carry,t7)))),not(or(not(xor(sum,or(carry,t7))),t6))) != ll0
| or(t6,not(xor(sum,or(carry,t7)))) != ll1
| and(ll1,not(or(not(xor(sum,or(carry,t7))),t6))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(t6,not(xor(sum,or(carry,t7)))),not(or(not(xor(sum,or(carry,t7))),t6))),ll0) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_12557,plain,
( and(or(t6,not(xor(sum,or(carry,t7)))),not(or(not(xor(sum,or(carry,t7))),t6))) != ll0
| and(ll1,not(or(not(xor(sum,or(carry,t7))),t6))) = ll0 ),
inference(resolve,[$cnf( $equal(or(t6,not(xor(sum,or(carry,t7)))),ll1) )],[refute_0_12555,refute_0_12556]) ).
cnf(refute_0_12558,plain,
and(ll1,not(or(not(xor(sum,or(carry,t7))),t6))) = ll0,
inference(resolve,[$cnf( $equal(and(or(t6,not(xor(sum,or(carry,t7)))),not(or(not(xor(sum,or(carry,t7))),t6))),ll0) )],[refute_0_12549,refute_0_12557]) ).
cnf(refute_0_12559,plain,
not(or(t6,not(xor(sum,or(carry,t7))))) = and(not(t6),xor(sum,or(carry,t7))),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(sum,or(carry,t7)))),bind(X_25,$fot(t6))]]) ).
cnf(refute_0_12560,plain,
and(ll1,not(or(t6,not(xor(sum,or(carry,t7)))))) = not(or(t6,not(xor(sum,or(carry,t7))))),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(or(t6,not(xor(sum,or(carry,t7)))))))]]) ).
cnf(refute_0_12561,plain,
( and(ll1,not(or(t6,not(xor(sum,or(carry,t7)))))) != not(or(t6,not(xor(sum,or(carry,t7)))))
| not(or(t6,not(xor(sum,or(carry,t7))))) != and(not(t6),xor(sum,or(carry,t7)))
| and(ll1,not(or(t6,not(xor(sum,or(carry,t7)))))) = and(not(t6),xor(sum,or(carry,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(t6,not(xor(sum,or(carry,t7)))))))),bind(Y0,$fot(not(or(t6,not(xor(sum,or(carry,t7))))))),bind(Z0,$fot(and(not(t6),xor(sum,or(carry,t7)))))]]) ).
cnf(refute_0_12562,plain,
( not(or(t6,not(xor(sum,or(carry,t7))))) != and(not(t6),xor(sum,or(carry,t7)))
| and(ll1,not(or(t6,not(xor(sum,or(carry,t7)))))) = and(not(t6),xor(sum,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t6,not(xor(sum,or(carry,t7)))))),not(or(t6,not(xor(sum,or(carry,t7)))))) )],[refute_0_12560,refute_0_12561]) ).
cnf(refute_0_12563,plain,
and(ll1,not(or(t6,not(xor(sum,or(carry,t7)))))) = and(not(t6),xor(sum,or(carry,t7))),
inference(resolve,[$cnf( $equal(not(or(t6,not(xor(sum,or(carry,t7))))),and(not(t6),xor(sum,or(carry,t7)))) )],[refute_0_12559,refute_0_12562]) ).
cnf(refute_0_12564,plain,
and(ll1,not(or(not(xor(sum,or(carry,t7))),t6))) = and(ll1,not(or(t6,not(xor(sum,or(carry,t7)))))),
inference(subst,[],[refute_0_815:[bind(X_25,$fot(t6)),bind(X_26,$fot(not(xor(sum,or(carry,t7))))),bind(X_29,$fot(ll1))]]) ).
cnf(refute_0_12565,plain,
( and(ll1,not(or(not(xor(sum,or(carry,t7))),t6))) != and(ll1,not(or(t6,not(xor(sum,or(carry,t7))))))
| and(ll1,not(or(t6,not(xor(sum,or(carry,t7)))))) != and(not(t6),xor(sum,or(carry,t7)))
| and(ll1,not(or(not(xor(sum,or(carry,t7))),t6))) = and(not(t6),xor(sum,or(carry,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(xor(sum,or(carry,t7))),t6))))),bind(Y0,$fot(and(ll1,not(or(t6,not(xor(sum,or(carry,t7)))))))),bind(Z0,$fot(and(not(t6),xor(sum,or(carry,t7)))))]]) ).
cnf(refute_0_12566,plain,
( and(ll1,not(or(t6,not(xor(sum,or(carry,t7)))))) != and(not(t6),xor(sum,or(carry,t7)))
| and(ll1,not(or(not(xor(sum,or(carry,t7))),t6))) = and(not(t6),xor(sum,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(sum,or(carry,t7))),t6))),and(ll1,not(or(t6,not(xor(sum,or(carry,t7))))))) )],[refute_0_12564,refute_0_12565]) ).
cnf(refute_0_12567,plain,
and(ll1,not(or(not(xor(sum,or(carry,t7))),t6))) = and(not(t6),xor(sum,or(carry,t7))),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t6,not(xor(sum,or(carry,t7)))))),and(not(t6),xor(sum,or(carry,t7)))) )],[refute_0_12563,refute_0_12566]) ).
cnf(refute_0_12568,plain,
( and(ll1,not(or(not(xor(sum,or(carry,t7))),t6))) != and(not(t6),xor(sum,or(carry,t7)))
| and(ll1,not(or(not(xor(sum,or(carry,t7))),t6))) != ll0
| and(not(t6),xor(sum,or(carry,t7))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(ll1,not(or(not(xor(sum,or(carry,t7))),t6))),ll0) ),[0],$fot(and(not(t6),xor(sum,or(carry,t7))))]]) ).
cnf(refute_0_12569,plain,
( and(ll1,not(or(not(xor(sum,or(carry,t7))),t6))) != ll0
| and(not(t6),xor(sum,or(carry,t7))) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(sum,or(carry,t7))),t6))),and(not(t6),xor(sum,or(carry,t7)))) )],[refute_0_12567,refute_0_12568]) ).
cnf(refute_0_12570,plain,
and(not(t6),xor(sum,or(carry,t7))) = ll0,
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(sum,or(carry,t7))),t6))),ll0) )],[refute_0_12558,refute_0_12569]) ).
cnf(refute_0_12571,plain,
( and(not(t6),xor(sum,or(carry,t7))) != ll0
| or(and(t6,not(xor(sum,or(carry,t7)))),and(not(t6),xor(sum,or(carry,t7)))) != xor(t6,xor(sum,or(carry,t7)))
| or(and(t6,not(xor(sum,or(carry,t7)))),ll0) = xor(t6,xor(sum,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,not(xor(sum,or(carry,t7)))),and(not(t6),xor(sum,or(carry,t7)))),xor(t6,xor(sum,or(carry,t7)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_12572,plain,
( or(and(t6,not(xor(sum,or(carry,t7)))),and(not(t6),xor(sum,or(carry,t7)))) != xor(t6,xor(sum,or(carry,t7)))
| or(and(t6,not(xor(sum,or(carry,t7)))),ll0) = xor(t6,xor(sum,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(not(t6),xor(sum,or(carry,t7))),ll0) )],[refute_0_12570,refute_0_12571]) ).
cnf(refute_0_12573,plain,
or(and(t6,not(xor(sum,or(carry,t7)))),ll0) = xor(t6,xor(sum,or(carry,t7))),
inference(resolve,[$cnf( $equal(or(and(t6,not(xor(sum,or(carry,t7)))),and(not(t6),xor(sum,or(carry,t7)))),xor(t6,xor(sum,or(carry,t7)))) )],[refute_0_12548,refute_0_12572]) ).
cnf(refute_0_12574,plain,
or(and(t6,not(xor(sum,or(carry,t7)))),ll0) = and(t6,not(xor(sum,or(carry,t7)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t6,not(xor(sum,or(carry,t7))))))]]) ).
cnf(refute_0_12575,plain,
( or(and(t6,not(xor(sum,or(carry,t7)))),ll0) != and(t6,not(xor(sum,or(carry,t7))))
| or(and(t6,not(xor(sum,or(carry,t7)))),ll0) != xor(t6,xor(sum,or(carry,t7)))
| and(t6,not(xor(sum,or(carry,t7)))) = xor(t6,xor(sum,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,not(xor(sum,or(carry,t7)))),ll0),xor(t6,xor(sum,or(carry,t7)))) ),[0],$fot(and(t6,not(xor(sum,or(carry,t7)))))]]) ).
cnf(refute_0_12576,plain,
( or(and(t6,not(xor(sum,or(carry,t7)))),ll0) != xor(t6,xor(sum,or(carry,t7)))
| and(t6,not(xor(sum,or(carry,t7)))) = xor(t6,xor(sum,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(or(and(t6,not(xor(sum,or(carry,t7)))),ll0),and(t6,not(xor(sum,or(carry,t7))))) )],[refute_0_12574,refute_0_12575]) ).
cnf(refute_0_12577,plain,
xor(sum,xor(t6,or(carry,t7))) = xor(t7,or(carry,t7)),
inference(subst,[],[refute_0_5410:[bind(Z,$fot(or(carry,t7)))]]) ).
cnf(refute_0_12578,plain,
xor(t6,xor(sum,or(carry,t7))) = xor(sum,xor(t6,or(carry,t7))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(sum)),bind(X_334,$fot(t6)),bind(X_335,$fot(or(carry,t7)))]]) ).
cnf(refute_0_12579,plain,
( xor(sum,xor(t6,or(carry,t7))) != xor(t7,or(carry,t7))
| xor(t6,xor(sum,or(carry,t7))) != xor(sum,xor(t6,or(carry,t7)))
| xor(t6,xor(sum,or(carry,t7))) = xor(t7,or(carry,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,xor(sum,or(carry,t7))))),bind(Y0,$fot(xor(sum,xor(t6,or(carry,t7))))),bind(Z0,$fot(xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_12580,plain,
( xor(sum,xor(t6,or(carry,t7))) != xor(t7,or(carry,t7))
| xor(t6,xor(sum,or(carry,t7))) = xor(t7,or(carry,t7)) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(sum,or(carry,t7))),xor(sum,xor(t6,or(carry,t7)))) )],[refute_0_12578,refute_0_12579]) ).
cnf(refute_0_12581,plain,
xor(t6,xor(sum,or(carry,t7))) = xor(t7,or(carry,t7)),
inference(resolve,[$cnf( $equal(xor(sum,xor(t6,or(carry,t7))),xor(t7,or(carry,t7))) )],[refute_0_12577,refute_0_12580]) ).
cnf(refute_0_12582,plain,
( and(t6,not(xor(sum,or(carry,t7)))) != xor(t6,xor(sum,or(carry,t7)))
| xor(t6,xor(sum,or(carry,t7))) != xor(t7,or(carry,t7))
| and(t6,not(xor(sum,or(carry,t7)))) = xor(t7,or(carry,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,not(xor(sum,or(carry,t7)))),xor(t7,or(carry,t7))) ),[0],$fot(xor(t6,xor(sum,or(carry,t7))))]]) ).
cnf(refute_0_12583,plain,
( and(t6,not(xor(sum,or(carry,t7)))) != xor(t6,xor(sum,or(carry,t7)))
| and(t6,not(xor(sum,or(carry,t7)))) = xor(t7,or(carry,t7)) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(sum,or(carry,t7))),xor(t7,or(carry,t7))) )],[refute_0_12581,refute_0_12582]) ).
cnf(refute_0_12584,plain,
( or(and(t6,not(xor(sum,or(carry,t7)))),ll0) != xor(t6,xor(sum,or(carry,t7)))
| and(t6,not(xor(sum,or(carry,t7)))) = xor(t7,or(carry,t7)) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(sum,or(carry,t7)))),xor(t6,xor(sum,or(carry,t7)))) )],[refute_0_12576,refute_0_12583]) ).
cnf(refute_0_12585,plain,
and(t6,not(xor(sum,or(carry,t7)))) = xor(t7,or(carry,t7)),
inference(resolve,[$cnf( $equal(or(and(t6,not(xor(sum,or(carry,t7)))),ll0),xor(t6,xor(sum,or(carry,t7)))) )],[refute_0_12573,refute_0_12584]) ).
cnf(refute_0_12586,plain,
not(xor(sum,or(carry,t7))) = not(xor(sum,or(carry,t7))),
introduced(tautology,[refl,[$fot(not(xor(sum,or(carry,t7))))]]) ).
cnf(refute_0_12587,plain,
( not(xor(sum,or(carry,t7))) != not(xor(sum,or(carry,t7)))
| xor(sum,or(carry,t7)) != xor(sum,or(a,t7))
| not(xor(sum,or(carry,t7))) = not(xor(sum,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(sum,or(carry,t7))),not(xor(sum,or(carry,t7)))) ),[1,0],$fot(xor(sum,or(a,t7)))]]) ).
cnf(refute_0_12588,plain,
( xor(sum,or(carry,t7)) != xor(sum,or(a,t7))
| not(xor(sum,or(carry,t7))) = not(xor(sum,or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(xor(sum,or(carry,t7))),not(xor(sum,or(carry,t7)))) )],[refute_0_12586,refute_0_12587]) ).
cnf(refute_0_12589,plain,
not(xor(sum,or(carry,t7))) = not(xor(sum,or(a,t7))),
inference(resolve,[$cnf( $equal(xor(sum,or(carry,t7)),xor(sum,or(a,t7))) )],[refute_0_9458,refute_0_12588]) ).
cnf(refute_0_12590,plain,
and(t6,not(xor(sum,or(carry,t7)))) = and(t6,not(xor(sum,or(carry,t7)))),
introduced(tautology,[refl,[$fot(and(t6,not(xor(sum,or(carry,t7)))))]]) ).
cnf(refute_0_12591,plain,
( and(t6,not(xor(sum,or(carry,t7)))) != and(t6,not(xor(sum,or(carry,t7))))
| not(xor(sum,or(carry,t7))) != not(xor(sum,or(a,t7)))
| and(t6,not(xor(sum,or(carry,t7)))) = and(t6,not(xor(sum,or(a,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(xor(sum,or(carry,t7)))),and(t6,not(xor(sum,or(carry,t7))))) ),[1,1],$fot(not(xor(sum,or(a,t7))))]]) ).
cnf(refute_0_12592,plain,
( not(xor(sum,or(carry,t7))) != not(xor(sum,or(a,t7)))
| and(t6,not(xor(sum,or(carry,t7)))) = and(t6,not(xor(sum,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(sum,or(carry,t7)))),and(t6,not(xor(sum,or(carry,t7))))) )],[refute_0_12590,refute_0_12591]) ).
cnf(refute_0_12593,plain,
and(t6,not(xor(sum,or(carry,t7)))) = and(t6,not(xor(sum,or(a,t7)))),
inference(resolve,[$cnf( $equal(not(xor(sum,or(carry,t7))),not(xor(sum,or(a,t7)))) )],[refute_0_12589,refute_0_12592]) ).
cnf(refute_0_12594,plain,
( and(t6,not(xor(sum,or(carry,t7)))) != and(t6,not(xor(sum,or(a,t7))))
| and(t6,not(xor(sum,or(carry,t7)))) != xor(t7,or(carry,t7))
| and(t6,not(xor(sum,or(a,t7)))) = xor(t7,or(carry,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(xor(sum,or(carry,t7)))),xor(t7,or(carry,t7))) ),[0],$fot(and(t6,not(xor(sum,or(a,t7)))))]]) ).
cnf(refute_0_12595,plain,
( and(t6,not(xor(sum,or(carry,t7)))) != xor(t7,or(carry,t7))
| and(t6,not(xor(sum,or(a,t7)))) = xor(t7,or(carry,t7)) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(sum,or(carry,t7)))),and(t6,not(xor(sum,or(a,t7))))) )],[refute_0_12593,refute_0_12594]) ).
cnf(refute_0_12596,plain,
( and(t6,not(xor(sum,or(a,t7)))) != xor(t7,or(carry,t7))
| xor(t7,or(carry,t7)) != xor(t7,or(a,t7))
| and(t6,not(xor(sum,or(a,t7)))) = xor(t7,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,not(xor(sum,or(a,t7)))),xor(t7,or(a,t7))) ),[0],$fot(xor(t7,or(carry,t7)))]]) ).
cnf(refute_0_12597,plain,
( and(t6,not(xor(sum,or(a,t7)))) != xor(t7,or(carry,t7))
| and(t6,not(xor(sum,or(a,t7)))) = xor(t7,or(a,t7)) ),
inference(resolve,[$cnf( $equal(xor(t7,or(carry,t7)),xor(t7,or(a,t7))) )],[refute_0_7858,refute_0_12596]) ).
cnf(refute_0_12598,plain,
( and(t6,not(xor(sum,or(carry,t7)))) != xor(t7,or(carry,t7))
| and(t6,not(xor(sum,or(a,t7)))) = xor(t7,or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(sum,or(a,t7)))),xor(t7,or(carry,t7))) )],[refute_0_12595,refute_0_12597]) ).
cnf(refute_0_12599,plain,
and(t6,not(xor(sum,or(a,t7)))) = xor(t7,or(a,t7)),
inference(resolve,[$cnf( $equal(and(t6,not(xor(sum,or(carry,t7)))),xor(t7,or(carry,t7))) )],[refute_0_12585,refute_0_12598]) ).
cnf(refute_0_12600,plain,
( and(t6,not(xor(sum,or(a,t7)))) != xor(t7,or(a,t7))
| xor(t7,or(a,t7)) != and(carry,not(t7))
| and(t6,not(xor(sum,or(a,t7)))) = and(carry,not(t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,not(xor(sum,or(a,t7)))),and(carry,not(t7))) ),[0],$fot(xor(t7,or(a,t7)))]]) ).
cnf(refute_0_12601,plain,
( and(t6,not(xor(sum,or(a,t7)))) != xor(t7,or(a,t7))
| and(t6,not(xor(sum,or(a,t7)))) = and(carry,not(t7)) ),
inference(resolve,[$cnf( $equal(xor(t7,or(a,t7)),and(carry,not(t7))) )],[refute_0_8428,refute_0_12600]) ).
cnf(refute_0_12602,plain,
and(t6,not(xor(sum,or(a,t7)))) = and(carry,not(t7)),
inference(resolve,[$cnf( $equal(and(t6,not(xor(sum,or(a,t7)))),xor(t7,or(a,t7))) )],[refute_0_12599,refute_0_12601]) ).
cnf(refute_0_12603,plain,
or(and(X,not(and(not(not(X)),X_282))),and(not(X),and(not(not(X)),X_282))) = xor(X,and(not(not(X)),X_282)),
inference(subst,[],[refute_0_9:[bind(Y,$fot(and(not(not(X)),X_282)))]]) ).
cnf(refute_0_12604,plain,
ll0 = and(not(X),and(not(not(X)),X_282)),
inference(subst,[],[refute_0_5426:[bind(X_220,$fot(not(X))),bind(X_222,$fot(X_282))]]) ).
cnf(refute_0_12605,plain,
( ll0 != and(not(X),and(not(not(X)),X_282))
| and(not(X),and(not(not(X)),X_282)) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(not(X),and(not(not(X)),X_282))))]]) ).
cnf(refute_0_12606,plain,
and(not(X),and(not(not(X)),X_282)) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(not(X),and(not(not(X)),X_282))) )],[refute_0_12604,refute_0_12605]) ).
cnf(refute_0_12607,plain,
( and(not(X),and(not(not(X)),X_282)) != ll0
| or(and(X,not(and(not(not(X)),X_282))),and(not(X),and(not(not(X)),X_282))) != xor(X,and(not(not(X)),X_282))
| or(and(X,not(and(not(not(X)),X_282))),ll0) = xor(X,and(not(not(X)),X_282)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X,not(and(not(not(X)),X_282))),and(not(X),and(not(not(X)),X_282))),xor(X,and(not(not(X)),X_282))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_12608,plain,
( or(and(X,not(and(not(not(X)),X_282))),and(not(X),and(not(not(X)),X_282))) != xor(X,and(not(not(X)),X_282))
| or(and(X,not(and(not(not(X)),X_282))),ll0) = xor(X,and(not(not(X)),X_282)) ),
inference(resolve,[$cnf( $equal(and(not(X),and(not(not(X)),X_282)),ll0) )],[refute_0_12606,refute_0_12607]) ).
cnf(refute_0_12609,plain,
or(and(X,not(and(not(not(X)),X_282))),ll0) = xor(X,and(not(not(X)),X_282)),
inference(resolve,[$cnf( $equal(or(and(X,not(and(not(not(X)),X_282))),and(not(X),and(not(not(X)),X_282))),xor(X,and(not(not(X)),X_282))) )],[refute_0_12603,refute_0_12608]) ).
cnf(refute_0_12610,plain,
or(not(X),not(X_282)) = not(and(X,X_282)),
inference(subst,[],[refute_0_147:[bind(Y,$fot(X_282))]]) ).
cnf(refute_0_12611,plain,
not(and(not(not(X)),X_282)) = or(not(X),not(X_282)),
inference(subst,[],[refute_0_787:[bind(X,$fot(not(X))),bind(X_32,$fot(X_282))]]) ).
cnf(refute_0_12612,plain,
( not(and(not(not(X)),X_282)) != or(not(X),not(X_282))
| or(not(X),not(X_282)) != not(and(X,X_282))
| not(and(not(not(X)),X_282)) = not(and(X,X_282)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(not(not(X)),X_282)))),bind(Y0,$fot(or(not(X),not(X_282)))),bind(Z0,$fot(not(and(X,X_282))))]]) ).
cnf(refute_0_12613,plain,
( or(not(X),not(X_282)) != not(and(X,X_282))
| not(and(not(not(X)),X_282)) = not(and(X,X_282)) ),
inference(resolve,[$cnf( $equal(not(and(not(not(X)),X_282)),or(not(X),not(X_282))) )],[refute_0_12611,refute_0_12612]) ).
cnf(refute_0_12614,plain,
not(and(not(not(X)),X_282)) = not(and(X,X_282)),
inference(resolve,[$cnf( $equal(or(not(X),not(X_282)),not(and(X,X_282))) )],[refute_0_12610,refute_0_12613]) ).
cnf(refute_0_12615,plain,
and(X,not(and(not(not(X)),X_282))) = and(X,not(and(not(not(X)),X_282))),
introduced(tautology,[refl,[$fot(and(X,not(and(not(not(X)),X_282))))]]) ).
cnf(refute_0_12616,plain,
( and(X,not(and(not(not(X)),X_282))) != and(X,not(and(not(not(X)),X_282)))
| not(and(not(not(X)),X_282)) != not(and(X,X_282))
| and(X,not(and(not(not(X)),X_282))) = and(X,not(and(X,X_282))) ),
introduced(tautology,[equality,[$cnf( $equal(and(X,not(and(not(not(X)),X_282))),and(X,not(and(not(not(X)),X_282)))) ),[1,1],$fot(not(and(X,X_282)))]]) ).
cnf(refute_0_12617,plain,
( not(and(not(not(X)),X_282)) != not(and(X,X_282))
| and(X,not(and(not(not(X)),X_282))) = and(X,not(and(X,X_282))) ),
inference(resolve,[$cnf( $equal(and(X,not(and(not(not(X)),X_282))),and(X,not(and(not(not(X)),X_282)))) )],[refute_0_12615,refute_0_12616]) ).
cnf(refute_0_12618,plain,
and(X,not(and(not(not(X)),X_282))) = and(X,not(and(X,X_282))),
inference(resolve,[$cnf( $equal(not(and(not(not(X)),X_282)),not(and(X,X_282))) )],[refute_0_12614,refute_0_12617]) ).
cnf(refute_0_12619,plain,
or(and(X,not(and(not(not(X)),X_282))),ll0) = and(X,not(and(not(not(X)),X_282))),
inference(subst,[],[or_identity:[bind(X,$fot(and(X,not(and(not(not(X)),X_282)))))]]) ).
cnf(refute_0_12620,plain,
( and(X,not(and(not(not(X)),X_282))) != and(X,not(and(X,X_282)))
| or(and(X,not(and(not(not(X)),X_282))),ll0) != and(X,not(and(not(not(X)),X_282)))
| or(and(X,not(and(not(not(X)),X_282))),ll0) = and(X,not(and(X,X_282))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(X,not(and(not(not(X)),X_282))),ll0))),bind(Y0,$fot(and(X,not(and(not(not(X)),X_282))))),bind(Z0,$fot(and(X,not(and(X,X_282)))))]]) ).
cnf(refute_0_12621,plain,
( and(X,not(and(not(not(X)),X_282))) != and(X,not(and(X,X_282)))
| or(and(X,not(and(not(not(X)),X_282))),ll0) = and(X,not(and(X,X_282))) ),
inference(resolve,[$cnf( $equal(or(and(X,not(and(not(not(X)),X_282))),ll0),and(X,not(and(not(not(X)),X_282)))) )],[refute_0_12619,refute_0_12620]) ).
cnf(refute_0_12622,plain,
or(and(X,not(and(not(not(X)),X_282))),ll0) = and(X,not(and(X,X_282))),
inference(resolve,[$cnf( $equal(and(X,not(and(not(not(X)),X_282))),and(X,not(and(X,X_282)))) )],[refute_0_12618,refute_0_12621]) ).
cnf(refute_0_12623,plain,
( or(and(X,not(and(not(not(X)),X_282))),ll0) != and(X,not(and(X,X_282)))
| or(and(X,not(and(not(not(X)),X_282))),ll0) != xor(X,and(not(not(X)),X_282))
| and(X,not(and(X,X_282))) = xor(X,and(not(not(X)),X_282)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X,not(and(not(not(X)),X_282))),ll0),xor(X,and(not(not(X)),X_282))) ),[0],$fot(and(X,not(and(X,X_282))))]]) ).
cnf(refute_0_12624,plain,
( or(and(X,not(and(not(not(X)),X_282))),ll0) != xor(X,and(not(not(X)),X_282))
| and(X,not(and(X,X_282))) = xor(X,and(not(not(X)),X_282)) ),
inference(resolve,[$cnf( $equal(or(and(X,not(and(not(not(X)),X_282))),ll0),and(X,not(and(X,X_282)))) )],[refute_0_12622,refute_0_12623]) ).
cnf(refute_0_12625,plain,
and(not(not(X)),X_282) = and(not(not(X)),X_282),
introduced(tautology,[refl,[$fot(and(not(not(X)),X_282))]]) ).
cnf(refute_0_12626,plain,
( and(not(not(X)),X_282) != and(not(not(X)),X_282)
| not(not(X)) != X
| and(not(not(X)),X_282) = and(X,X_282) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(not(X)),X_282),and(not(not(X)),X_282)) ),[1,0],$fot(X)]]) ).
cnf(refute_0_12627,plain,
( not(not(X)) != X
| and(not(not(X)),X_282) = and(X,X_282) ),
inference(resolve,[$cnf( $equal(and(not(not(X)),X_282),and(not(not(X)),X_282)) )],[refute_0_12625,refute_0_12626]) ).
cnf(refute_0_12628,plain,
and(not(not(X)),X_282) = and(X,X_282),
inference(resolve,[$cnf( $equal(not(not(X)),X) )],[not_involution,refute_0_12627]) ).
cnf(refute_0_12629,plain,
xor(X,and(not(not(X)),X_282)) = xor(X,and(not(not(X)),X_282)),
introduced(tautology,[refl,[$fot(xor(X,and(not(not(X)),X_282)))]]) ).
cnf(refute_0_12630,plain,
( and(not(not(X)),X_282) != and(X,X_282)
| xor(X,and(not(not(X)),X_282)) != xor(X,and(not(not(X)),X_282))
| xor(X,and(not(not(X)),X_282)) = xor(X,and(X,X_282)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,and(not(not(X)),X_282)),xor(X,and(not(not(X)),X_282))) ),[1,1],$fot(and(X,X_282))]]) ).
cnf(refute_0_12631,plain,
( and(not(not(X)),X_282) != and(X,X_282)
| xor(X,and(not(not(X)),X_282)) = xor(X,and(X,X_282)) ),
inference(resolve,[$cnf( $equal(xor(X,and(not(not(X)),X_282)),xor(X,and(not(not(X)),X_282))) )],[refute_0_12629,refute_0_12630]) ).
cnf(refute_0_12632,plain,
xor(X,and(not(not(X)),X_282)) = xor(X,and(X,X_282)),
inference(resolve,[$cnf( $equal(and(not(not(X)),X_282),and(X,X_282)) )],[refute_0_12628,refute_0_12631]) ).
cnf(refute_0_12633,plain,
( and(X,not(and(X,X_282))) != xor(X,and(not(not(X)),X_282))
| xor(X,and(not(not(X)),X_282)) != xor(X,and(X,X_282))
| and(X,not(and(X,X_282))) = xor(X,and(X,X_282)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(X,not(and(X,X_282))),xor(X,and(X,X_282))) ),[0],$fot(xor(X,and(not(not(X)),X_282)))]]) ).
cnf(refute_0_12634,plain,
( and(X,not(and(X,X_282))) != xor(X,and(not(not(X)),X_282))
| and(X,not(and(X,X_282))) = xor(X,and(X,X_282)) ),
inference(resolve,[$cnf( $equal(xor(X,and(not(not(X)),X_282)),xor(X,and(X,X_282))) )],[refute_0_12632,refute_0_12633]) ).
cnf(refute_0_12635,plain,
( or(and(X,not(and(not(not(X)),X_282))),ll0) != xor(X,and(not(not(X)),X_282))
| and(X,not(and(X,X_282))) = xor(X,and(X,X_282)) ),
inference(resolve,[$cnf( $equal(and(X,not(and(X,X_282))),xor(X,and(not(not(X)),X_282))) )],[refute_0_12624,refute_0_12634]) ).
cnf(refute_0_12636,plain,
and(X,not(and(X,X_282))) = xor(X,and(X,X_282)),
inference(resolve,[$cnf( $equal(or(and(X,not(and(not(not(X)),X_282))),ll0),xor(X,and(not(not(X)),X_282))) )],[refute_0_12609,refute_0_12635]) ).
cnf(refute_0_12637,plain,
and(t6,not(and(t6,or(t1,t7)))) = xor(t6,and(t6,or(t1,t7))),
inference(subst,[],[refute_0_12636:[bind(X,$fot(t6)),bind(X_282,$fot(or(t1,t7)))]]) ).
cnf(refute_0_12638,plain,
not(xor(sum,or(a,t7))) = not(xor(sum,or(a,t7))),
introduced(tautology,[refl,[$fot(not(xor(sum,or(a,t7))))]]) ).
cnf(refute_0_12639,plain,
( not(xor(sum,or(a,t7))) != not(xor(sum,or(a,t7)))
| xor(sum,or(a,t7)) != and(t6,or(t1,t7))
| not(xor(sum,or(a,t7))) = not(and(t6,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(sum,or(a,t7))),not(xor(sum,or(a,t7)))) ),[1,0],$fot(and(t6,or(t1,t7)))]]) ).
cnf(refute_0_12640,plain,
( xor(sum,or(a,t7)) != and(t6,or(t1,t7))
| not(xor(sum,or(a,t7))) = not(and(t6,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(not(xor(sum,or(a,t7))),not(xor(sum,or(a,t7)))) )],[refute_0_12638,refute_0_12639]) ).
cnf(refute_0_12641,plain,
not(xor(sum,or(a,t7))) = not(and(t6,or(t1,t7))),
inference(resolve,[$cnf( $equal(xor(sum,or(a,t7)),and(t6,or(t1,t7))) )],[refute_0_10985,refute_0_12640]) ).
cnf(refute_0_12642,plain,
and(t6,not(xor(sum,or(a,t7)))) = and(t6,not(xor(sum,or(a,t7)))),
introduced(tautology,[refl,[$fot(and(t6,not(xor(sum,or(a,t7)))))]]) ).
cnf(refute_0_12643,plain,
( and(t6,not(xor(sum,or(a,t7)))) != and(t6,not(xor(sum,or(a,t7))))
| not(xor(sum,or(a,t7))) != not(and(t6,or(t1,t7)))
| and(t6,not(xor(sum,or(a,t7)))) = and(t6,not(and(t6,or(t1,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(xor(sum,or(a,t7)))),and(t6,not(xor(sum,or(a,t7))))) ),[1,1],$fot(not(and(t6,or(t1,t7))))]]) ).
cnf(refute_0_12644,plain,
( not(xor(sum,or(a,t7))) != not(and(t6,or(t1,t7)))
| and(t6,not(xor(sum,or(a,t7)))) = and(t6,not(and(t6,or(t1,t7)))) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(sum,or(a,t7)))),and(t6,not(xor(sum,or(a,t7))))) )],[refute_0_12642,refute_0_12643]) ).
cnf(refute_0_12645,plain,
and(t6,not(xor(sum,or(a,t7)))) = and(t6,not(and(t6,or(t1,t7)))),
inference(resolve,[$cnf( $equal(not(xor(sum,or(a,t7))),not(and(t6,or(t1,t7)))) )],[refute_0_12641,refute_0_12644]) ).
cnf(refute_0_12646,plain,
( and(t6,not(and(t6,or(t1,t7)))) != xor(t6,and(t6,or(t1,t7)))
| and(t6,not(xor(sum,or(a,t7)))) != and(t6,not(and(t6,or(t1,t7))))
| and(t6,not(xor(sum,or(a,t7)))) = xor(t6,and(t6,or(t1,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t6,not(xor(sum,or(a,t7)))))),bind(Y0,$fot(and(t6,not(and(t6,or(t1,t7)))))),bind(Z0,$fot(xor(t6,and(t6,or(t1,t7)))))]]) ).
cnf(refute_0_12647,plain,
( and(t6,not(and(t6,or(t1,t7)))) != xor(t6,and(t6,or(t1,t7)))
| and(t6,not(xor(sum,or(a,t7)))) = xor(t6,and(t6,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(sum,or(a,t7)))),and(t6,not(and(t6,or(t1,t7))))) )],[refute_0_12645,refute_0_12646]) ).
cnf(refute_0_12648,plain,
and(t6,not(xor(sum,or(a,t7)))) = xor(t6,and(t6,or(t1,t7))),
inference(resolve,[$cnf( $equal(and(t6,not(and(t6,or(t1,t7)))),xor(t6,and(t6,or(t1,t7)))) )],[refute_0_12637,refute_0_12647]) ).
cnf(refute_0_12649,plain,
( and(t6,not(xor(sum,or(a,t7)))) != and(carry,not(t7))
| and(t6,not(xor(sum,or(a,t7)))) != xor(t6,and(t6,or(t1,t7)))
| xor(t6,and(t6,or(t1,t7))) = and(carry,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(xor(sum,or(a,t7)))),and(carry,not(t7))) ),[0],$fot(xor(t6,and(t6,or(t1,t7))))]]) ).
cnf(refute_0_12650,plain,
( and(t6,not(xor(sum,or(a,t7)))) != and(carry,not(t7))
| xor(t6,and(t6,or(t1,t7))) = and(carry,not(t7)) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(sum,or(a,t7)))),xor(t6,and(t6,or(t1,t7)))) )],[refute_0_12648,refute_0_12649]) ).
cnf(refute_0_12651,plain,
( and(carry,not(t7)) != not(or(t1,t7))
| xor(t6,and(t6,or(t1,t7))) != and(carry,not(t7))
| xor(t6,and(t6,or(t1,t7))) = not(or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,and(t6,or(t1,t7))),and(carry,not(t7))) ),[1],$fot(not(or(t1,t7)))]]) ).
cnf(refute_0_12652,plain,
( xor(t6,and(t6,or(t1,t7))) != and(carry,not(t7))
| xor(t6,and(t6,or(t1,t7))) = not(or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(carry,not(t7)),not(or(t1,t7))) )],[refute_0_10975,refute_0_12651]) ).
cnf(refute_0_12653,plain,
( and(t6,not(xor(sum,or(a,t7)))) != and(carry,not(t7))
| xor(t6,and(t6,or(t1,t7))) = not(or(t1,t7)) ),
inference(resolve,[$cnf( $equal(xor(t6,and(t6,or(t1,t7))),and(carry,not(t7))) )],[refute_0_12650,refute_0_12652]) ).
cnf(refute_0_12654,plain,
xor(t6,and(t6,or(t1,t7))) = not(or(t1,t7)),
inference(resolve,[$cnf( $equal(and(t6,not(xor(sum,or(a,t7)))),and(carry,not(t7))) )],[refute_0_12602,refute_0_12653]) ).
cnf(refute_0_12655,plain,
xor(cin,xor(t6,and(t6,or(t1,t7)))) = xor(cin,xor(t6,and(t6,or(t1,t7)))),
introduced(tautology,[refl,[$fot(xor(cin,xor(t6,and(t6,or(t1,t7)))))]]) ).
cnf(refute_0_12656,plain,
( xor(cin,xor(t6,and(t6,or(t1,t7)))) != xor(cin,xor(t6,and(t6,or(t1,t7))))
| xor(t6,and(t6,or(t1,t7))) != not(or(t1,t7))
| xor(cin,xor(t6,and(t6,or(t1,t7)))) = xor(cin,not(or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t6,and(t6,or(t1,t7)))),xor(cin,xor(t6,and(t6,or(t1,t7))))) ),[1,1],$fot(not(or(t1,t7)))]]) ).
cnf(refute_0_12657,plain,
( xor(t6,and(t6,or(t1,t7))) != not(or(t1,t7))
| xor(cin,xor(t6,and(t6,or(t1,t7)))) = xor(cin,not(or(t1,t7))) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t6,and(t6,or(t1,t7)))),xor(cin,xor(t6,and(t6,or(t1,t7))))) )],[refute_0_12655,refute_0_12656]) ).
cnf(refute_0_12658,plain,
xor(cin,xor(t6,and(t6,or(t1,t7)))) = xor(cin,not(or(t1,t7))),
inference(resolve,[$cnf( $equal(xor(t6,and(t6,or(t1,t7))),not(or(t1,t7))) )],[refute_0_12654,refute_0_12657]) ).
cnf(refute_0_12659,plain,
( xor(cin,not(or(t1,t7))) != xor(t5,or(a,t7))
| xor(cin,xor(t6,and(t6,or(t1,t7)))) != xor(cin,not(or(t1,t7)))
| xor(cin,xor(t6,and(t6,or(t1,t7)))) = xor(t5,or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(cin,xor(t6,and(t6,or(t1,t7)))))),bind(Y0,$fot(xor(cin,not(or(t1,t7))))),bind(Z0,$fot(xor(t5,or(a,t7))))]]) ).
cnf(refute_0_12660,plain,
( xor(cin,not(or(t1,t7))) != xor(t5,or(a,t7))
| xor(cin,xor(t6,and(t6,or(t1,t7)))) = xor(t5,or(a,t7)) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t6,and(t6,or(t1,t7)))),xor(cin,not(or(t1,t7)))) )],[refute_0_12658,refute_0_12659]) ).
cnf(refute_0_12661,plain,
xor(cin,xor(t6,and(t6,or(t1,t7)))) = xor(t5,or(a,t7)),
inference(resolve,[$cnf( $equal(xor(cin,not(or(t1,t7))),xor(t5,or(a,t7))) )],[refute_0_12547,refute_0_12660]) ).
cnf(refute_0_12662,plain,
( xor(cin,xor(t6,and(t6,or(t1,t7)))) != xor(t5,or(a,t7))
| xor(t4,and(sum,t1)) != xor(cin,xor(t6,and(t6,or(t1,t7))))
| xor(t4,and(sum,t1)) = xor(t5,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,and(sum,t1)),xor(cin,xor(t6,and(t6,or(t1,t7))))) ),[1],$fot(xor(t5,or(a,t7)))]]) ).
cnf(refute_0_12663,plain,
( xor(t4,and(sum,t1)) != xor(cin,xor(t6,and(t6,or(t1,t7))))
| xor(t4,and(sum,t1)) = xor(t5,or(a,t7)) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t6,and(t6,or(t1,t7)))),xor(t5,or(a,t7))) )],[refute_0_12661,refute_0_12662]) ).
cnf(refute_0_12664,plain,
( xor(sum,or(t4,and(carry_def,cin))) != xor(cin,xor(t6,and(t6,or(t1,t7))))
| xor(t4,and(sum,t1)) = xor(t5,or(a,t7)) ),
inference(resolve,[$cnf( $equal(xor(t4,and(sum,t1)),xor(cin,xor(t6,and(t6,or(t1,t7))))) )],[refute_0_12477,refute_0_12663]) ).
cnf(refute_0_12665,plain,
xor(t4,and(sum,t1)) = xor(t5,or(a,t7)),
inference(resolve,[$cnf( $equal(xor(sum,or(t4,and(carry_def,cin))),xor(cin,xor(t6,and(t6,or(t1,t7))))) )],[refute_0_12338,refute_0_12664]) ).
cnf(refute_0_12666,plain,
( xor(t4,and(sum,t1)) != xor(t5,or(a,t7))
| xor(t5,or(a,t7)) = xor(t4,and(sum,t1)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t4,and(sum,t1)))),bind(Y0,$fot(xor(t5,or(a,t7))))]]) ).
cnf(refute_0_12667,plain,
xor(t5,or(a,t7)) = xor(t4,and(sum,t1)),
inference(resolve,[$cnf( $equal(xor(t4,and(sum,t1)),xor(t5,or(a,t7))) )],[refute_0_12665,refute_0_12666]) ).
cnf(refute_0_12668,plain,
not(xor(t5,or(a,t7))) = not(xor(t5,or(a,t7))),
introduced(tautology,[refl,[$fot(not(xor(t5,or(a,t7))))]]) ).
cnf(refute_0_12669,plain,
( not(xor(t5,or(a,t7))) != not(xor(t5,or(a,t7)))
| xor(t5,or(a,t7)) != xor(t4,and(sum,t1))
| not(xor(t5,or(a,t7))) = not(xor(t4,and(sum,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t5,or(a,t7))),not(xor(t5,or(a,t7)))) ),[1,0],$fot(xor(t4,and(sum,t1)))]]) ).
cnf(refute_0_12670,plain,
( xor(t5,or(a,t7)) != xor(t4,and(sum,t1))
| not(xor(t5,or(a,t7))) = not(xor(t4,and(sum,t1))) ),
inference(resolve,[$cnf( $equal(not(xor(t5,or(a,t7))),not(xor(t5,or(a,t7)))) )],[refute_0_12668,refute_0_12669]) ).
cnf(refute_0_12671,plain,
not(xor(t5,or(a,t7))) = not(xor(t4,and(sum,t1))),
inference(resolve,[$cnf( $equal(xor(t5,or(a,t7)),xor(t4,and(sum,t1))) )],[refute_0_12667,refute_0_12670]) ).
cnf(refute_0_12672,plain,
( not(xor(t5,or(a,t7))) != and(t5,or(a,t7))
| not(xor(t5,or(a,t7))) != not(xor(t4,and(sum,t1)))
| not(xor(t4,and(sum,t1))) = and(t5,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t5,or(a,t7))),and(t5,or(a,t7))) ),[0],$fot(not(xor(t4,and(sum,t1))))]]) ).
cnf(refute_0_12673,plain,
( not(xor(t5,or(a,t7))) != and(t5,or(a,t7))
| not(xor(t4,and(sum,t1))) = and(t5,or(a,t7)) ),
inference(resolve,[$cnf( $equal(not(xor(t5,or(a,t7))),not(xor(t4,and(sum,t1)))) )],[refute_0_12671,refute_0_12672]) ).
cnf(refute_0_12674,plain,
not(xor(t4,and(sum,t1))) = and(t5,or(a,t7)),
inference(resolve,[$cnf( $equal(not(xor(t5,or(a,t7))),and(t5,or(a,t7))) )],[refute_0_11868,refute_0_12673]) ).
cnf(refute_0_12675,plain,
or(and(t6,not(xor(t4,or(a,t7)))),and(not(t6),xor(t4,or(a,t7)))) = xor(t6,xor(t4,or(a,t7))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t6)),bind(Y,$fot(xor(t4,or(a,t7))))]]) ).
cnf(refute_0_12676,plain,
and(not(t6),xor(t4,or(a,t7))) = and(t4,and(t5,xor(t4,or(a,t7)))),
inference(subst,[],[refute_0_667:[bind(X_222,$fot(xor(t4,or(a,t7))))]]) ).
cnf(refute_0_12677,plain,
and(not(t4),or(a,t7)) = and(t5,and(not(t4),or(a,t7))),
inference(subst,[],[refute_0_10323:[bind(X_222,$fot(or(a,t7)))]]) ).
cnf(refute_0_12678,plain,
or(and(t4,not(or(a,t7))),and(not(t4),or(a,t7))) = xor(t4,or(a,t7)),
inference(subst,[],[refute_0_9:[bind(X,$fot(t4)),bind(Y,$fot(or(a,t7)))]]) ).
cnf(refute_0_12679,plain,
and(not(t6),not(or(a,t7))) = and(t4,and(t5,not(or(a,t7)))),
inference(subst,[],[refute_0_667:[bind(X_222,$fot(not(or(a,t7))))]]) ).
cnf(refute_0_12680,plain,
( and(not(t6),not(or(a,t7))) != and(t4,and(t5,not(or(a,t7))))
| and(t5,not(or(a,t7))) != not(or(a,t7))
| and(not(t6),not(or(a,t7))) = and(t4,not(or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),not(or(a,t7))),and(t4,and(t5,not(or(a,t7))))) ),[1,1],$fot(not(or(a,t7)))]]) ).
cnf(refute_0_12681,plain,
( and(not(t6),not(or(a,t7))) != and(t4,and(t5,not(or(a,t7))))
| and(not(t6),not(or(a,t7))) = and(t4,not(or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(t5,not(or(a,t7))),not(or(a,t7))) )],[refute_0_11843,refute_0_12680]) ).
cnf(refute_0_12682,plain,
and(not(t6),not(or(a,t7))) = and(t4,not(or(a,t7))),
inference(resolve,[$cnf( $equal(and(not(t6),not(or(a,t7))),and(t4,and(t5,not(or(a,t7))))) )],[refute_0_12679,refute_0_12681]) ).
cnf(refute_0_12683,plain,
or(a,or(t6,t7)) = or(a,or(t6,t7)),
introduced(tautology,[refl,[$fot(or(a,or(t6,t7)))]]) ).
cnf(refute_0_12684,plain,
( or(a,or(t6,t7)) != or(a,or(t6,t7))
| or(t6,t7) != ll1
| or(a,or(t6,t7)) = or(a,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(a,or(t6,t7)),or(a,or(t6,t7))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_12685,plain,
( or(t6,t7) != ll1
| or(a,or(t6,t7)) = or(a,ll1) ),
inference(resolve,[$cnf( $equal(or(a,or(t6,t7)),or(a,or(t6,t7))) )],[refute_0_12683,refute_0_12684]) ).
cnf(refute_0_12686,plain,
or(a,or(t6,t7)) = or(a,ll1),
inference(resolve,[$cnf( $equal(or(t6,t7),ll1) )],[refute_0_753,refute_0_12685]) ).
cnf(refute_0_12687,plain,
( or(a,ll1) != ll1
| or(a,or(t6,t7)) != or(a,ll1)
| or(a,or(t6,t7)) = ll1 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(a,or(t6,t7)))),bind(Y0,$fot(or(a,ll1))),bind(Z0,$fot(ll1))]]) ).
cnf(refute_0_12688,plain,
( or(a,ll1) != ll1
| or(a,or(t6,t7)) = ll1 ),
inference(resolve,[$cnf( $equal(or(a,or(t6,t7)),or(a,ll1)) )],[refute_0_12686,refute_0_12687]) ).
cnf(refute_0_12689,plain,
or(a,or(t6,t7)) = ll1,
inference(resolve,[$cnf( $equal(or(a,ll1),ll1) )],[refute_0_3290,refute_0_12688]) ).
cnf(refute_0_12690,plain,
not(or(a,or(t6,t7))) = not(or(a,or(t6,t7))),
introduced(tautology,[refl,[$fot(not(or(a,or(t6,t7))))]]) ).
cnf(refute_0_12691,plain,
( not(or(a,or(t6,t7))) != not(or(a,or(t6,t7)))
| or(a,or(t6,t7)) != ll1
| not(or(a,or(t6,t7))) = not(ll1) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(a,or(t6,t7))),not(or(a,or(t6,t7)))) ),[1,0],$fot(ll1)]]) ).
cnf(refute_0_12692,plain,
( or(a,or(t6,t7)) != ll1
| not(or(a,or(t6,t7))) = not(ll1) ),
inference(resolve,[$cnf( $equal(not(or(a,or(t6,t7))),not(or(a,or(t6,t7)))) )],[refute_0_12690,refute_0_12691]) ).
cnf(refute_0_12693,plain,
not(or(a,or(t6,t7))) = not(ll1),
inference(resolve,[$cnf( $equal(or(a,or(t6,t7)),ll1) )],[refute_0_12689,refute_0_12692]) ).
cnf(refute_0_12694,plain,
( not(ll1) != ll0
| not(or(a,or(t6,t7))) != not(ll1)
| not(or(a,or(t6,t7))) = ll0 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(a,or(t6,t7))))),bind(Y0,$fot(not(ll1))),bind(Z0,$fot(ll0))]]) ).
cnf(refute_0_12695,plain,
( not(ll1) != ll0
| not(or(a,or(t6,t7))) = ll0 ),
inference(resolve,[$cnf( $equal(not(or(a,or(t6,t7))),not(ll1)) )],[refute_0_12693,refute_0_12694]) ).
cnf(refute_0_12696,plain,
not(or(a,or(t6,t7))) = ll0,
inference(resolve,[$cnf( $equal(not(ll1),ll0) )],[ll1_inverse,refute_0_12695]) ).
cnf(refute_0_12697,plain,
not(or(X,or(X_28,X_27))) = and(not(X),not(or(X_28,X_27))),
inference(subst,[],[or_demorgan:[bind(Y,$fot(or(X_28,X_27)))]]) ).
cnf(refute_0_12698,plain,
( not(or(X,or(X_28,X_27))) != and(not(X),not(or(X_28,X_27)))
| not(or(X_28,X_27)) != not(or(X_27,X_28))
| not(or(X,or(X_28,X_27))) = and(not(X),not(or(X_27,X_28))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,or(X_28,X_27))),and(not(X),not(or(X_28,X_27)))) ),[1,1],$fot(not(or(X_27,X_28)))]]) ).
cnf(refute_0_12699,plain,
( not(or(X,or(X_28,X_27))) != and(not(X),not(or(X_28,X_27)))
| not(or(X,or(X_28,X_27))) = and(not(X),not(or(X_27,X_28))) ),
inference(resolve,[$cnf( $equal(not(or(X_28,X_27)),not(or(X_27,X_28))) )],[refute_0_106,refute_0_12698]) ).
cnf(refute_0_12700,plain,
not(or(X,or(X_28,X_27))) = and(not(X),not(or(X_27,X_28))),
inference(resolve,[$cnf( $equal(not(or(X,or(X_28,X_27))),and(not(X),not(or(X_28,X_27)))) )],[refute_0_12697,refute_0_12699]) ).
cnf(refute_0_12701,plain,
and(not(X),not(or(X_27,X_28))) = not(or(X,or(X_27,X_28))),
inference(subst,[],[refute_0_101:[bind(Y,$fot(or(X_27,X_28)))]]) ).
cnf(refute_0_12702,plain,
( and(not(X),not(or(X_27,X_28))) != not(or(X,or(X_27,X_28)))
| not(or(X,or(X_28,X_27))) != and(not(X),not(or(X_27,X_28)))
| not(or(X,or(X_28,X_27))) = not(or(X,or(X_27,X_28))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,or(X_28,X_27))),and(not(X),not(or(X_27,X_28)))) ),[1],$fot(not(or(X,or(X_27,X_28))))]]) ).
cnf(refute_0_12703,plain,
( not(or(X,or(X_28,X_27))) != and(not(X),not(or(X_27,X_28)))
| not(or(X,or(X_28,X_27))) = not(or(X,or(X_27,X_28))) ),
inference(resolve,[$cnf( $equal(and(not(X),not(or(X_27,X_28))),not(or(X,or(X_27,X_28)))) )],[refute_0_12701,refute_0_12702]) ).
cnf(refute_0_12704,plain,
not(or(X,or(X_28,X_27))) = not(or(X,or(X_27,X_28))),
inference(resolve,[$cnf( $equal(not(or(X,or(X_28,X_27))),and(not(X),not(or(X_27,X_28)))) )],[refute_0_12700,refute_0_12703]) ).
cnf(refute_0_12705,plain,
( not(or(X,or(X_28,X_27))) != not(or(X,or(X_27,X_28)))
| not(or(X,or(X_27,X_28))) = not(or(X,or(X_28,X_27))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X,or(X_28,X_27))))),bind(Y0,$fot(not(or(X,or(X_27,X_28)))))]]) ).
cnf(refute_0_12706,plain,
not(or(X,or(X_27,X_28))) = not(or(X,or(X_28,X_27))),
inference(resolve,[$cnf( $equal(not(or(X,or(X_28,X_27))),not(or(X,or(X_27,X_28)))) )],[refute_0_12704,refute_0_12705]) ).
cnf(refute_0_12707,plain,
not(or(a,or(t7,t6))) = not(or(a,or(t6,t7))),
inference(subst,[],[refute_0_12706:[bind(X,$fot(a)),bind(X_27,$fot(t7)),bind(X_28,$fot(t6))]]) ).
cnf(refute_0_12708,plain,
not(or(t6,or(a,t7))) = not(or(a,or(t7,t6))),
inference(subst,[],[refute_0_2912:[bind(X_26,$fot(t6)),bind(X_37,$fot(a)),bind(X_38,$fot(t7))]]) ).
cnf(refute_0_12709,plain,
( not(or(a,or(t7,t6))) != not(or(a,or(t6,t7)))
| not(or(t6,or(a,t7))) != not(or(a,or(t7,t6)))
| not(or(t6,or(a,t7))) = not(or(a,or(t6,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(t6,or(a,t7))))),bind(Y0,$fot(not(or(a,or(t7,t6))))),bind(Z0,$fot(not(or(a,or(t6,t7)))))]]) ).
cnf(refute_0_12710,plain,
( not(or(a,or(t7,t6))) != not(or(a,or(t6,t7)))
| not(or(t6,or(a,t7))) = not(or(a,or(t6,t7))) ),
inference(resolve,[$cnf( $equal(not(or(t6,or(a,t7))),not(or(a,or(t7,t6)))) )],[refute_0_12708,refute_0_12709]) ).
cnf(refute_0_12711,plain,
not(or(t6,or(a,t7))) = not(or(a,or(t6,t7))),
inference(resolve,[$cnf( $equal(not(or(a,or(t7,t6))),not(or(a,or(t6,t7)))) )],[refute_0_12707,refute_0_12710]) ).
cnf(refute_0_12712,plain,
and(not(t6),not(or(a,t7))) = not(or(t6,or(a,t7))),
inference(subst,[],[refute_0_101:[bind(X,$fot(t6)),bind(Y,$fot(or(a,t7)))]]) ).
cnf(refute_0_12713,plain,
( and(not(t6),not(or(a,t7))) != not(or(t6,or(a,t7)))
| not(or(t6,or(a,t7))) != not(or(a,or(t6,t7)))
| and(not(t6),not(or(a,t7))) = not(or(a,or(t6,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t6),not(or(a,t7))))),bind(Y0,$fot(not(or(t6,or(a,t7))))),bind(Z0,$fot(not(or(a,or(t6,t7)))))]]) ).
cnf(refute_0_12714,plain,
( not(or(t6,or(a,t7))) != not(or(a,or(t6,t7)))
| and(not(t6),not(or(a,t7))) = not(or(a,or(t6,t7))) ),
inference(resolve,[$cnf( $equal(and(not(t6),not(or(a,t7))),not(or(t6,or(a,t7)))) )],[refute_0_12712,refute_0_12713]) ).
cnf(refute_0_12715,plain,
and(not(t6),not(or(a,t7))) = not(or(a,or(t6,t7))),
inference(resolve,[$cnf( $equal(not(or(t6,or(a,t7))),not(or(a,or(t6,t7)))) )],[refute_0_12711,refute_0_12714]) ).
cnf(refute_0_12716,plain,
( and(not(t6),not(or(a,t7))) != not(or(a,or(t6,t7)))
| not(or(a,or(t6,t7))) != ll0
| and(not(t6),not(or(a,t7))) = ll0 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t6),not(or(a,t7))))),bind(Y0,$fot(not(or(a,or(t6,t7))))),bind(Z0,$fot(ll0))]]) ).
cnf(refute_0_12717,plain,
( not(or(a,or(t6,t7))) != ll0
| and(not(t6),not(or(a,t7))) = ll0 ),
inference(resolve,[$cnf( $equal(and(not(t6),not(or(a,t7))),not(or(a,or(t6,t7)))) )],[refute_0_12715,refute_0_12716]) ).
cnf(refute_0_12718,plain,
and(not(t6),not(or(a,t7))) = ll0,
inference(resolve,[$cnf( $equal(not(or(a,or(t6,t7))),ll0) )],[refute_0_12696,refute_0_12717]) ).
cnf(refute_0_12719,plain,
( and(not(t6),not(or(a,t7))) != and(t4,not(or(a,t7)))
| and(not(t6),not(or(a,t7))) != ll0
| ll0 = and(t4,not(or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),not(or(a,t7))),and(t4,not(or(a,t7)))) ),[0],$fot(ll0)]]) ).
cnf(refute_0_12720,plain,
( and(not(t6),not(or(a,t7))) != and(t4,not(or(a,t7)))
| ll0 = and(t4,not(or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(not(t6),not(or(a,t7))),ll0) )],[refute_0_12718,refute_0_12719]) ).
cnf(refute_0_12721,plain,
ll0 = and(t4,not(or(a,t7))),
inference(resolve,[$cnf( $equal(and(not(t6),not(or(a,t7))),and(t4,not(or(a,t7)))) )],[refute_0_12682,refute_0_12720]) ).
cnf(refute_0_12722,plain,
( ll0 != and(t4,not(or(a,t7)))
| and(t4,not(or(a,t7))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(t4,not(or(a,t7)))))]]) ).
cnf(refute_0_12723,plain,
and(t4,not(or(a,t7))) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(t4,not(or(a,t7)))) )],[refute_0_12721,refute_0_12722]) ).
cnf(refute_0_12724,plain,
( and(t4,not(or(a,t7))) != ll0
| or(and(t4,not(or(a,t7))),and(not(t4),or(a,t7))) != xor(t4,or(a,t7))
| or(ll0,and(not(t4),or(a,t7))) = xor(t4,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,not(or(a,t7))),and(not(t4),or(a,t7))),xor(t4,or(a,t7))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_12725,plain,
( or(and(t4,not(or(a,t7))),and(not(t4),or(a,t7))) != xor(t4,or(a,t7))
| or(ll0,and(not(t4),or(a,t7))) = xor(t4,or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(t4,not(or(a,t7))),ll0) )],[refute_0_12723,refute_0_12724]) ).
cnf(refute_0_12726,plain,
or(ll0,and(not(t4),or(a,t7))) = xor(t4,or(a,t7)),
inference(resolve,[$cnf( $equal(or(and(t4,not(or(a,t7))),and(not(t4),or(a,t7))),xor(t4,or(a,t7))) )],[refute_0_12678,refute_0_12725]) ).
cnf(refute_0_12727,plain,
or(ll0,and(not(t4),or(a,t7))) = and(not(t4),or(a,t7)),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(t4),or(a,t7))))]]) ).
cnf(refute_0_12728,plain,
( or(ll0,and(not(t4),or(a,t7))) != and(not(t4),or(a,t7))
| or(ll0,and(not(t4),or(a,t7))) != xor(t4,or(a,t7))
| and(not(t4),or(a,t7)) = xor(t4,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(t4),or(a,t7))),xor(t4,or(a,t7))) ),[0],$fot(and(not(t4),or(a,t7)))]]) ).
cnf(refute_0_12729,plain,
( or(ll0,and(not(t4),or(a,t7))) != xor(t4,or(a,t7))
| and(not(t4),or(a,t7)) = xor(t4,or(a,t7)) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t4),or(a,t7))),and(not(t4),or(a,t7))) )],[refute_0_12727,refute_0_12728]) ).
cnf(refute_0_12730,plain,
and(not(t4),or(a,t7)) = xor(t4,or(a,t7)),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t4),or(a,t7))),xor(t4,or(a,t7))) )],[refute_0_12726,refute_0_12729]) ).
cnf(refute_0_12731,plain,
( and(not(t4),or(a,t7)) != and(t5,and(not(t4),or(a,t7)))
| and(not(t4),or(a,t7)) != xor(t4,or(a,t7))
| and(not(t4),or(a,t7)) = and(t5,xor(t4,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),or(a,t7)),and(t5,and(not(t4),or(a,t7)))) ),[1,1],$fot(xor(t4,or(a,t7)))]]) ).
cnf(refute_0_12732,plain,
( and(not(t4),or(a,t7)) != and(t5,and(not(t4),or(a,t7)))
| and(not(t4),or(a,t7)) = and(t5,xor(t4,or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(not(t4),or(a,t7)),xor(t4,or(a,t7))) )],[refute_0_12730,refute_0_12731]) ).
cnf(refute_0_12733,plain,
and(not(t4),or(a,t7)) = and(t5,xor(t4,or(a,t7))),
inference(resolve,[$cnf( $equal(and(not(t4),or(a,t7)),and(t5,and(not(t4),or(a,t7)))) )],[refute_0_12677,refute_0_12732]) ).
cnf(refute_0_12734,plain,
( and(not(t4),or(a,t7)) != and(t5,xor(t4,or(a,t7)))
| and(not(t4),or(a,t7)) != xor(t4,or(a,t7))
| xor(t4,or(a,t7)) = and(t5,xor(t4,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),or(a,t7)),and(t5,xor(t4,or(a,t7)))) ),[0],$fot(xor(t4,or(a,t7)))]]) ).
cnf(refute_0_12735,plain,
( and(not(t4),or(a,t7)) != and(t5,xor(t4,or(a,t7)))
| xor(t4,or(a,t7)) = and(t5,xor(t4,or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(not(t4),or(a,t7)),xor(t4,or(a,t7))) )],[refute_0_12730,refute_0_12734]) ).
cnf(refute_0_12736,plain,
xor(t4,or(a,t7)) = and(t5,xor(t4,or(a,t7))),
inference(resolve,[$cnf( $equal(and(not(t4),or(a,t7)),and(t5,xor(t4,or(a,t7)))) )],[refute_0_12733,refute_0_12735]) ).
cnf(refute_0_12737,plain,
( xor(t4,or(a,t7)) != and(t5,xor(t4,or(a,t7)))
| and(t5,xor(t4,or(a,t7))) = xor(t4,or(a,t7)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t4,or(a,t7)))),bind(Y0,$fot(and(t5,xor(t4,or(a,t7)))))]]) ).
cnf(refute_0_12738,plain,
and(t5,xor(t4,or(a,t7))) = xor(t4,or(a,t7)),
inference(resolve,[$cnf( $equal(xor(t4,or(a,t7)),and(t5,xor(t4,or(a,t7)))) )],[refute_0_12736,refute_0_12737]) ).
cnf(refute_0_12739,plain,
( and(not(t6),xor(t4,or(a,t7))) != and(t4,and(t5,xor(t4,or(a,t7))))
| and(t5,xor(t4,or(a,t7))) != xor(t4,or(a,t7))
| and(not(t6),xor(t4,or(a,t7))) = and(t4,xor(t4,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),xor(t4,or(a,t7))),and(t4,and(t5,xor(t4,or(a,t7))))) ),[1,1],$fot(xor(t4,or(a,t7)))]]) ).
cnf(refute_0_12740,plain,
( and(not(t6),xor(t4,or(a,t7))) != and(t4,and(t5,xor(t4,or(a,t7))))
| and(not(t6),xor(t4,or(a,t7))) = and(t4,xor(t4,or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(t5,xor(t4,or(a,t7))),xor(t4,or(a,t7))) )],[refute_0_12738,refute_0_12739]) ).
cnf(refute_0_12741,plain,
and(not(t6),xor(t4,or(a,t7))) = and(t4,xor(t4,or(a,t7))),
inference(resolve,[$cnf( $equal(and(not(t6),xor(t4,or(a,t7))),and(t4,and(t5,xor(t4,or(a,t7))))) )],[refute_0_12676,refute_0_12740]) ).
cnf(refute_0_12742,plain,
ll0 = and(t4,and(not(t4),or(a,t7))),
inference(subst,[],[refute_0_5426:[bind(X_220,$fot(t4)),bind(X_222,$fot(or(a,t7)))]]) ).
cnf(refute_0_12743,plain,
( and(not(t4),or(a,t7)) != xor(t4,or(a,t7))
| ll0 != and(t4,and(not(t4),or(a,t7)))
| ll0 = and(t4,xor(t4,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(t4,and(not(t4),or(a,t7)))) ),[1,1],$fot(xor(t4,or(a,t7)))]]) ).
cnf(refute_0_12744,plain,
( ll0 != and(t4,and(not(t4),or(a,t7)))
| ll0 = and(t4,xor(t4,or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(not(t4),or(a,t7)),xor(t4,or(a,t7))) )],[refute_0_12730,refute_0_12743]) ).
cnf(refute_0_12745,plain,
ll0 = and(t4,xor(t4,or(a,t7))),
inference(resolve,[$cnf( $equal(ll0,and(t4,and(not(t4),or(a,t7)))) )],[refute_0_12742,refute_0_12744]) ).
cnf(refute_0_12746,plain,
( ll0 != and(t4,xor(t4,or(a,t7)))
| and(t4,xor(t4,or(a,t7))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(t4,xor(t4,or(a,t7)))))]]) ).
cnf(refute_0_12747,plain,
and(t4,xor(t4,or(a,t7))) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(t4,xor(t4,or(a,t7)))) )],[refute_0_12745,refute_0_12746]) ).
cnf(refute_0_12748,plain,
( and(not(t6),xor(t4,or(a,t7))) != and(t4,xor(t4,or(a,t7)))
| and(t4,xor(t4,or(a,t7))) != ll0
| and(not(t6),xor(t4,or(a,t7))) = ll0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(t6),xor(t4,or(a,t7))),ll0) ),[0],$fot(and(t4,xor(t4,or(a,t7))))]]) ).
cnf(refute_0_12749,plain,
( and(not(t6),xor(t4,or(a,t7))) != and(t4,xor(t4,or(a,t7)))
| and(not(t6),xor(t4,or(a,t7))) = ll0 ),
inference(resolve,[$cnf( $equal(and(t4,xor(t4,or(a,t7))),ll0) )],[refute_0_12747,refute_0_12748]) ).
cnf(refute_0_12750,plain,
and(not(t6),xor(t4,or(a,t7))) = ll0,
inference(resolve,[$cnf( $equal(and(not(t6),xor(t4,or(a,t7))),and(t4,xor(t4,or(a,t7)))) )],[refute_0_12741,refute_0_12749]) ).
cnf(refute_0_12751,plain,
( and(not(t6),xor(t4,or(a,t7))) != ll0
| or(and(t6,not(xor(t4,or(a,t7)))),and(not(t6),xor(t4,or(a,t7)))) != xor(t6,xor(t4,or(a,t7)))
| or(and(t6,not(xor(t4,or(a,t7)))),ll0) = xor(t6,xor(t4,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,not(xor(t4,or(a,t7)))),and(not(t6),xor(t4,or(a,t7)))),xor(t6,xor(t4,or(a,t7)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_12752,plain,
( or(and(t6,not(xor(t4,or(a,t7)))),and(not(t6),xor(t4,or(a,t7)))) != xor(t6,xor(t4,or(a,t7)))
| or(and(t6,not(xor(t4,or(a,t7)))),ll0) = xor(t6,xor(t4,or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(not(t6),xor(t4,or(a,t7))),ll0) )],[refute_0_12750,refute_0_12751]) ).
cnf(refute_0_12753,plain,
or(and(t6,not(xor(t4,or(a,t7)))),ll0) = xor(t6,xor(t4,or(a,t7))),
inference(resolve,[$cnf( $equal(or(and(t6,not(xor(t4,or(a,t7)))),and(not(t6),xor(t4,or(a,t7)))),xor(t6,xor(t4,or(a,t7)))) )],[refute_0_12675,refute_0_12752]) ).
cnf(refute_0_12754,plain,
or(and(t6,not(xor(t4,or(a,t7)))),ll0) = and(t6,not(xor(t4,or(a,t7)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t6,not(xor(t4,or(a,t7))))))]]) ).
cnf(refute_0_12755,plain,
( or(and(t6,not(xor(t4,or(a,t7)))),ll0) != and(t6,not(xor(t4,or(a,t7))))
| or(and(t6,not(xor(t4,or(a,t7)))),ll0) != xor(t6,xor(t4,or(a,t7)))
| and(t6,not(xor(t4,or(a,t7)))) = xor(t6,xor(t4,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,not(xor(t4,or(a,t7)))),ll0),xor(t6,xor(t4,or(a,t7)))) ),[0],$fot(and(t6,not(xor(t4,or(a,t7)))))]]) ).
cnf(refute_0_12756,plain,
( or(and(t6,not(xor(t4,or(a,t7)))),ll0) != xor(t6,xor(t4,or(a,t7)))
| and(t6,not(xor(t4,or(a,t7)))) = xor(t6,xor(t4,or(a,t7))) ),
inference(resolve,[$cnf( $equal(or(and(t6,not(xor(t4,or(a,t7)))),ll0),and(t6,not(xor(t4,or(a,t7))))) )],[refute_0_12754,refute_0_12755]) ).
cnf(refute_0_12757,plain,
or(and(xor(t4,t6),not(Y)),and(not(xor(t4,t6)),Y)) = xor(xor(t4,t6),Y),
inference(subst,[],[refute_0_9:[bind(X,$fot(xor(t4,t6)))]]) ).
cnf(refute_0_12758,plain,
not(not(and(t4,t6))) = and(t4,t6),
inference(subst,[],[not_involution:[bind(X,$fot(and(t4,t6)))]]) ).
cnf(refute_0_12759,plain,
or(and(t4,not(t6)),and(not(t4),t6)) = xor(t4,t6),
inference(subst,[],[refute_0_9:[bind(X,$fot(t4)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_12760,plain,
and(not(t6),or(t4,not(t6))) = not(t6),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(not(t6))),bind(X_20,$fot(t4))]]) ).
cnf(refute_0_12761,plain,
( and(not(t6),or(t4,not(t6))) != not(t6)
| or(t4,not(t6)) != t4
| and(not(t6),t4) = not(t6) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),or(t4,not(t6))),not(t6)) ),[0,1],$fot(t4)]]) ).
cnf(refute_0_12762,plain,
( and(not(t6),or(t4,not(t6))) != not(t6)
| and(not(t6),t4) = not(t6) ),
inference(resolve,[$cnf( $equal(or(t4,not(t6)),t4) )],[refute_0_7245,refute_0_12761]) ).
cnf(refute_0_12763,plain,
and(not(t6),t4) = not(t6),
inference(resolve,[$cnf( $equal(and(not(t6),or(t4,not(t6))),not(t6)) )],[refute_0_12760,refute_0_12762]) ).
cnf(refute_0_12764,plain,
and(not(t6),t4) = and(t4,not(t6)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t4)),bind(Y,$fot(not(t6)))]]) ).
cnf(refute_0_12765,plain,
( and(not(t6),t4) != and(t4,not(t6))
| and(not(t6),t4) != not(t6)
| and(t4,not(t6)) = not(t6) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),t4),not(t6)) ),[0],$fot(and(t4,not(t6)))]]) ).
cnf(refute_0_12766,plain,
( and(not(t6),t4) != not(t6)
| and(t4,not(t6)) = not(t6) ),
inference(resolve,[$cnf( $equal(and(not(t6),t4),and(t4,not(t6))) )],[refute_0_12764,refute_0_12765]) ).
cnf(refute_0_12767,plain,
and(t4,not(t6)) = not(t6),
inference(resolve,[$cnf( $equal(and(not(t6),t4),not(t6)) )],[refute_0_12763,refute_0_12766]) ).
cnf(refute_0_12768,plain,
( and(t4,not(t6)) != not(t6)
| or(and(t4,not(t6)),and(not(t4),t6)) != xor(t4,t6)
| or(not(t6),and(not(t4),t6)) = xor(t4,t6) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,not(t6)),and(not(t4),t6)),xor(t4,t6)) ),[0,0],$fot(not(t6))]]) ).
cnf(refute_0_12769,plain,
( or(and(t4,not(t6)),and(not(t4),t6)) != xor(t4,t6)
| or(not(t6),and(not(t4),t6)) = xor(t4,t6) ),
inference(resolve,[$cnf( $equal(and(t4,not(t6)),not(t6)) )],[refute_0_12767,refute_0_12768]) ).
cnf(refute_0_12770,plain,
or(not(t6),and(not(t4),t6)) = xor(t4,t6),
inference(resolve,[$cnf( $equal(or(and(t4,not(t6)),and(not(t4),t6)),xor(t4,t6)) )],[refute_0_12759,refute_0_12769]) ).
cnf(refute_0_12771,plain,
not(and(t6,t4)) = not(and(t4,t6)),
inference(subst,[],[refute_0_333:[bind(X_31,$fot(t6)),bind(X_32,$fot(t4))]]) ).
cnf(refute_0_12772,plain,
or(not(t6),not(t4)) = not(and(t6,t4)),
inference(subst,[],[refute_0_147:[bind(X,$fot(t6)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_12773,plain,
( not(and(t6,t4)) != not(and(t4,t6))
| or(not(t6),not(t4)) != not(and(t6,t4))
| or(not(t6),not(t4)) = not(and(t4,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t6),not(t4)))),bind(Y0,$fot(not(and(t6,t4)))),bind(Z0,$fot(not(and(t4,t6))))]]) ).
cnf(refute_0_12774,plain,
( not(and(t6,t4)) != not(and(t4,t6))
| or(not(t6),not(t4)) = not(and(t4,t6)) ),
inference(resolve,[$cnf( $equal(or(not(t6),not(t4)),not(and(t6,t4))) )],[refute_0_12772,refute_0_12773]) ).
cnf(refute_0_12775,plain,
or(not(t6),not(t4)) = not(and(t4,t6)),
inference(resolve,[$cnf( $equal(not(and(t6,t4)),not(and(t4,t6))) )],[refute_0_12771,refute_0_12774]) ).
cnf(refute_0_12776,plain,
and(not(t4),t6) = and(t6,not(t4)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t6)),bind(Y,$fot(not(t4)))]]) ).
cnf(refute_0_12777,plain,
( and(not(t4),t6) != and(t6,not(t4))
| and(t6,not(t4)) != not(t4)
| and(not(t4),t6) = not(t4) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t4),t6))),bind(Y0,$fot(and(t6,not(t4)))),bind(Z0,$fot(not(t4)))]]) ).
cnf(refute_0_12778,plain,
( and(t6,not(t4)) != not(t4)
| and(not(t4),t6) = not(t4) ),
inference(resolve,[$cnf( $equal(and(not(t4),t6),and(t6,not(t4))) )],[refute_0_12776,refute_0_12777]) ).
cnf(refute_0_12779,plain,
and(not(t4),t6) = not(t4),
inference(resolve,[$cnf( $equal(and(t6,not(t4)),not(t4)) )],[refute_0_7254,refute_0_12778]) ).
cnf(refute_0_12780,plain,
or(not(t6),and(not(t4),t6)) = or(not(t6),and(not(t4),t6)),
introduced(tautology,[refl,[$fot(or(not(t6),and(not(t4),t6)))]]) ).
cnf(refute_0_12781,plain,
( and(not(t4),t6) != not(t4)
| or(not(t6),and(not(t4),t6)) != or(not(t6),and(not(t4),t6))
| or(not(t6),and(not(t4),t6)) = or(not(t6),not(t4)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t6),and(not(t4),t6)),or(not(t6),and(not(t4),t6))) ),[1,1],$fot(not(t4))]]) ).
cnf(refute_0_12782,plain,
( and(not(t4),t6) != not(t4)
| or(not(t6),and(not(t4),t6)) = or(not(t6),not(t4)) ),
inference(resolve,[$cnf( $equal(or(not(t6),and(not(t4),t6)),or(not(t6),and(not(t4),t6))) )],[refute_0_12780,refute_0_12781]) ).
cnf(refute_0_12783,plain,
or(not(t6),and(not(t4),t6)) = or(not(t6),not(t4)),
inference(resolve,[$cnf( $equal(and(not(t4),t6),not(t4)) )],[refute_0_12779,refute_0_12782]) ).
cnf(refute_0_12784,plain,
( or(not(t6),and(not(t4),t6)) != or(not(t6),not(t4))
| or(not(t6),not(t4)) != not(and(t4,t6))
| or(not(t6),and(not(t4),t6)) = not(and(t4,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t6),and(not(t4),t6)))),bind(Y0,$fot(or(not(t6),not(t4)))),bind(Z0,$fot(not(and(t4,t6))))]]) ).
cnf(refute_0_12785,plain,
( or(not(t6),not(t4)) != not(and(t4,t6))
| or(not(t6),and(not(t4),t6)) = not(and(t4,t6)) ),
inference(resolve,[$cnf( $equal(or(not(t6),and(not(t4),t6)),or(not(t6),not(t4))) )],[refute_0_12783,refute_0_12784]) ).
cnf(refute_0_12786,plain,
or(not(t6),and(not(t4),t6)) = not(and(t4,t6)),
inference(resolve,[$cnf( $equal(or(not(t6),not(t4)),not(and(t4,t6))) )],[refute_0_12775,refute_0_12785]) ).
cnf(refute_0_12787,plain,
( or(not(t6),and(not(t4),t6)) != not(and(t4,t6))
| or(not(t6),and(not(t4),t6)) != xor(t4,t6)
| not(and(t4,t6)) = xor(t4,t6) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t6),and(not(t4),t6)),xor(t4,t6)) ),[0],$fot(not(and(t4,t6)))]]) ).
cnf(refute_0_12788,plain,
( or(not(t6),and(not(t4),t6)) != xor(t4,t6)
| not(and(t4,t6)) = xor(t4,t6) ),
inference(resolve,[$cnf( $equal(or(not(t6),and(not(t4),t6)),not(and(t4,t6))) )],[refute_0_12786,refute_0_12787]) ).
cnf(refute_0_12789,plain,
not(and(t4,t6)) = xor(t4,t6),
inference(resolve,[$cnf( $equal(or(not(t6),and(not(t4),t6)),xor(t4,t6)) )],[refute_0_12770,refute_0_12788]) ).
cnf(refute_0_12790,plain,
( not(and(t4,t6)) != xor(t4,t6)
| not(not(and(t4,t6))) != and(t4,t6)
| not(xor(t4,t6)) = and(t4,t6) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(t4,t6))),and(t4,t6)) ),[0,0],$fot(xor(t4,t6))]]) ).
cnf(refute_0_12791,plain,
( not(not(and(t4,t6))) != and(t4,t6)
| not(xor(t4,t6)) = and(t4,t6) ),
inference(resolve,[$cnf( $equal(not(and(t4,t6)),xor(t4,t6)) )],[refute_0_12789,refute_0_12790]) ).
cnf(refute_0_12792,plain,
not(xor(t4,t6)) = and(t4,t6),
inference(resolve,[$cnf( $equal(not(not(and(t4,t6))),and(t4,t6)) )],[refute_0_12758,refute_0_12791]) ).
cnf(refute_0_12793,plain,
( not(xor(t4,t6)) != and(t4,t6)
| or(and(xor(t4,t6),not(Y)),and(not(xor(t4,t6)),Y)) != xor(xor(t4,t6),Y)
| or(and(xor(t4,t6),not(Y)),and(and(t4,t6),Y)) = xor(xor(t4,t6),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(t4,t6),not(Y)),and(not(xor(t4,t6)),Y)),xor(xor(t4,t6),Y)) ),[0,1,0],$fot(and(t4,t6))]]) ).
cnf(refute_0_12794,plain,
( or(and(xor(t4,t6),not(Y)),and(not(xor(t4,t6)),Y)) != xor(xor(t4,t6),Y)
| or(and(xor(t4,t6),not(Y)),and(and(t4,t6),Y)) = xor(xor(t4,t6),Y) ),
inference(resolve,[$cnf( $equal(not(xor(t4,t6)),and(t4,t6)) )],[refute_0_12792,refute_0_12793]) ).
cnf(refute_0_12795,plain,
or(and(xor(t4,t6),not(Y)),and(and(t4,t6),Y)) = xor(xor(t4,t6),Y),
inference(resolve,[$cnf( $equal(or(and(xor(t4,t6),not(Y)),and(not(xor(t4,t6)),Y)),xor(xor(t4,t6),Y)) )],[refute_0_12757,refute_0_12794]) ).
cnf(refute_0_12796,plain,
not(or(and(t4,t6),Y)) = and(not(and(t4,t6)),not(Y)),
inference(subst,[],[or_demorgan:[bind(X,$fot(and(t4,t6)))]]) ).
cnf(refute_0_12797,plain,
( not(and(t4,t6)) != xor(t4,t6)
| not(or(and(t4,t6),Y)) != and(not(and(t4,t6)),not(Y))
| not(or(and(t4,t6),Y)) = and(xor(t4,t6),not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(and(t4,t6),Y)),and(not(and(t4,t6)),not(Y))) ),[1,0],$fot(xor(t4,t6))]]) ).
cnf(refute_0_12798,plain,
( not(or(and(t4,t6),Y)) != and(not(and(t4,t6)),not(Y))
| not(or(and(t4,t6),Y)) = and(xor(t4,t6),not(Y)) ),
inference(resolve,[$cnf( $equal(not(and(t4,t6)),xor(t4,t6)) )],[refute_0_12789,refute_0_12797]) ).
cnf(refute_0_12799,plain,
not(or(and(t4,t6),Y)) = and(xor(t4,t6),not(Y)),
inference(resolve,[$cnf( $equal(not(or(and(t4,t6),Y)),and(not(and(t4,t6)),not(Y))) )],[refute_0_12796,refute_0_12798]) ).
cnf(refute_0_12800,plain,
( not(or(and(t4,t6),Y)) != and(xor(t4,t6),not(Y))
| and(xor(t4,t6),not(Y)) = not(or(and(t4,t6),Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(and(t4,t6),Y)))),bind(Y0,$fot(and(xor(t4,t6),not(Y))))]]) ).
cnf(refute_0_12801,plain,
and(xor(t4,t6),not(Y)) = not(or(and(t4,t6),Y)),
inference(resolve,[$cnf( $equal(not(or(and(t4,t6),Y)),and(xor(t4,t6),not(Y))) )],[refute_0_12799,refute_0_12800]) ).
cnf(refute_0_12802,plain,
or(and(t4,and(t6,Y)),and(xor(t4,t6),not(Y))) = or(and(t4,and(t6,Y)),and(xor(t4,t6),not(Y))),
introduced(tautology,[refl,[$fot(or(and(t4,and(t6,Y)),and(xor(t4,t6),not(Y))))]]) ).
cnf(refute_0_12803,plain,
( and(xor(t4,t6),not(Y)) != not(or(and(t4,t6),Y))
| or(and(t4,and(t6,Y)),and(xor(t4,t6),not(Y))) != or(and(t4,and(t6,Y)),and(xor(t4,t6),not(Y)))
| or(and(t4,and(t6,Y)),and(xor(t4,t6),not(Y))) = or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,and(t6,Y)),and(xor(t4,t6),not(Y))),or(and(t4,and(t6,Y)),and(xor(t4,t6),not(Y)))) ),[1,1],$fot(not(or(and(t4,t6),Y)))]]) ).
cnf(refute_0_12804,plain,
( and(xor(t4,t6),not(Y)) != not(or(and(t4,t6),Y))
| or(and(t4,and(t6,Y)),and(xor(t4,t6),not(Y))) = or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))) ),
inference(resolve,[$cnf( $equal(or(and(t4,and(t6,Y)),and(xor(t4,t6),not(Y))),or(and(t4,and(t6,Y)),and(xor(t4,t6),not(Y)))) )],[refute_0_12802,refute_0_12803]) ).
cnf(refute_0_12805,plain,
or(and(t4,and(t6,Y)),and(xor(t4,t6),not(Y))) = or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))),
inference(resolve,[$cnf( $equal(and(xor(t4,t6),not(Y)),not(or(and(t4,t6),Y))) )],[refute_0_12801,refute_0_12804]) ).
cnf(refute_0_12806,plain,
and(and(t4,t6),Y) = and(t4,and(t6,Y)),
inference(subst,[],[and_associative:[bind(X,$fot(t4)),bind(Y,$fot(t6)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_12807,plain,
or(and(and(t4,t6),Y),and(xor(t4,t6),not(Y))) = or(and(and(t4,t6),Y),and(xor(t4,t6),not(Y))),
introduced(tautology,[refl,[$fot(or(and(and(t4,t6),Y),and(xor(t4,t6),not(Y))))]]) ).
cnf(refute_0_12808,plain,
( and(and(t4,t6),Y) != and(t4,and(t6,Y))
| or(and(and(t4,t6),Y),and(xor(t4,t6),not(Y))) != or(and(and(t4,t6),Y),and(xor(t4,t6),not(Y)))
| or(and(and(t4,t6),Y),and(xor(t4,t6),not(Y))) = or(and(t4,and(t6,Y)),and(xor(t4,t6),not(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(and(t4,t6),Y),and(xor(t4,t6),not(Y))),or(and(and(t4,t6),Y),and(xor(t4,t6),not(Y)))) ),[1,0],$fot(and(t4,and(t6,Y)))]]) ).
cnf(refute_0_12809,plain,
( and(and(t4,t6),Y) != and(t4,and(t6,Y))
| or(and(and(t4,t6),Y),and(xor(t4,t6),not(Y))) = or(and(t4,and(t6,Y)),and(xor(t4,t6),not(Y))) ),
inference(resolve,[$cnf( $equal(or(and(and(t4,t6),Y),and(xor(t4,t6),not(Y))),or(and(and(t4,t6),Y),and(xor(t4,t6),not(Y)))) )],[refute_0_12807,refute_0_12808]) ).
cnf(refute_0_12810,plain,
or(and(and(t4,t6),Y),and(xor(t4,t6),not(Y))) = or(and(t4,and(t6,Y)),and(xor(t4,t6),not(Y))),
inference(resolve,[$cnf( $equal(and(and(t4,t6),Y),and(t4,and(t6,Y))) )],[refute_0_12806,refute_0_12809]) ).
cnf(refute_0_12811,plain,
( or(and(and(t4,t6),Y),and(xor(t4,t6),not(Y))) != or(and(t4,and(t6,Y)),and(xor(t4,t6),not(Y)))
| or(and(t4,and(t6,Y)),and(xor(t4,t6),not(Y))) != or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y)))
| or(and(and(t4,t6),Y),and(xor(t4,t6),not(Y))) = or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(and(t4,t6),Y),and(xor(t4,t6),not(Y))))),bind(Y0,$fot(or(and(t4,and(t6,Y)),and(xor(t4,t6),not(Y))))),bind(Z0,$fot(or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y)))))]]) ).
cnf(refute_0_12812,plain,
( or(and(t4,and(t6,Y)),and(xor(t4,t6),not(Y))) != or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y)))
| or(and(and(t4,t6),Y),and(xor(t4,t6),not(Y))) = or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))) ),
inference(resolve,[$cnf( $equal(or(and(and(t4,t6),Y),and(xor(t4,t6),not(Y))),or(and(t4,and(t6,Y)),and(xor(t4,t6),not(Y)))) )],[refute_0_12810,refute_0_12811]) ).
cnf(refute_0_12813,plain,
or(and(and(t4,t6),Y),and(xor(t4,t6),not(Y))) = or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))),
inference(resolve,[$cnf( $equal(or(and(t4,and(t6,Y)),and(xor(t4,t6),not(Y))),or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y)))) )],[refute_0_12805,refute_0_12812]) ).
cnf(refute_0_12814,plain,
or(and(xor(t4,t6),not(Y)),and(and(t4,t6),Y)) = or(and(and(t4,t6),Y),and(xor(t4,t6),not(Y))),
inference(subst,[],[refute_0_5:[bind(X,$fot(and(and(t4,t6),Y))),bind(Y,$fot(and(xor(t4,t6),not(Y))))]]) ).
cnf(refute_0_12815,plain,
( or(and(and(t4,t6),Y),and(xor(t4,t6),not(Y))) != or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y)))
| or(and(xor(t4,t6),not(Y)),and(and(t4,t6),Y)) != or(and(and(t4,t6),Y),and(xor(t4,t6),not(Y)))
| or(and(xor(t4,t6),not(Y)),and(and(t4,t6),Y)) = or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(xor(t4,t6),not(Y)),and(and(t4,t6),Y)))),bind(Y0,$fot(or(and(and(t4,t6),Y),and(xor(t4,t6),not(Y))))),bind(Z0,$fot(or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y)))))]]) ).
cnf(refute_0_12816,plain,
( or(and(and(t4,t6),Y),and(xor(t4,t6),not(Y))) != or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y)))
| or(and(xor(t4,t6),not(Y)),and(and(t4,t6),Y)) = or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))) ),
inference(resolve,[$cnf( $equal(or(and(xor(t4,t6),not(Y)),and(and(t4,t6),Y)),or(and(and(t4,t6),Y),and(xor(t4,t6),not(Y)))) )],[refute_0_12814,refute_0_12815]) ).
cnf(refute_0_12817,plain,
or(and(xor(t4,t6),not(Y)),and(and(t4,t6),Y)) = or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))),
inference(resolve,[$cnf( $equal(or(and(and(t4,t6),Y),and(xor(t4,t6),not(Y))),or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y)))) )],[refute_0_12813,refute_0_12816]) ).
cnf(refute_0_12818,plain,
( or(and(xor(t4,t6),not(Y)),and(and(t4,t6),Y)) != or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y)))
| or(and(xor(t4,t6),not(Y)),and(and(t4,t6),Y)) != xor(xor(t4,t6),Y)
| or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))) = xor(xor(t4,t6),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(t4,t6),not(Y)),and(and(t4,t6),Y)),xor(xor(t4,t6),Y)) ),[0],$fot(or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))))]]) ).
cnf(refute_0_12819,plain,
( or(and(xor(t4,t6),not(Y)),and(and(t4,t6),Y)) != xor(xor(t4,t6),Y)
| or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))) = xor(xor(t4,t6),Y) ),
inference(resolve,[$cnf( $equal(or(and(xor(t4,t6),not(Y)),and(and(t4,t6),Y)),or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y)))) )],[refute_0_12817,refute_0_12818]) ).
cnf(refute_0_12820,plain,
xor(xor(t4,t6),Y) = xor(t4,xor(t6,Y)),
inference(subst,[],[refute_0_526:[bind(X,$fot(t4)),bind(Y,$fot(t6)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_12821,plain,
( or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))) != xor(xor(t4,t6),Y)
| xor(xor(t4,t6),Y) != xor(t4,xor(t6,Y))
| or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))) = xor(t4,xor(t6,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))),xor(t4,xor(t6,Y))) ),[0],$fot(xor(xor(t4,t6),Y))]]) ).
cnf(refute_0_12822,plain,
( or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))) != xor(xor(t4,t6),Y)
| or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))) = xor(t4,xor(t6,Y)) ),
inference(resolve,[$cnf( $equal(xor(xor(t4,t6),Y),xor(t4,xor(t6,Y))) )],[refute_0_12820,refute_0_12821]) ).
cnf(refute_0_12823,plain,
( or(and(xor(t4,t6),not(Y)),and(and(t4,t6),Y)) != xor(xor(t4,t6),Y)
| or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))) = xor(t4,xor(t6,Y)) ),
inference(resolve,[$cnf( $equal(or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))),xor(xor(t4,t6),Y)) )],[refute_0_12819,refute_0_12822]) ).
cnf(refute_0_12824,plain,
or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))) = xor(t4,xor(t6,Y)),
inference(resolve,[$cnf( $equal(or(and(xor(t4,t6),not(Y)),and(and(t4,t6),Y)),xor(xor(t4,t6),Y)) )],[refute_0_12795,refute_0_12823]) ).
cnf(refute_0_12825,plain,
or(and(t4,and(t6,Y)),and(t5,not(Y))) = or(and(t5,not(Y)),and(t4,and(t6,Y))),
inference(subst,[],[refute_0_5:[bind(X,$fot(and(t5,not(Y)))),bind(Y,$fot(and(t4,and(t6,Y))))]]) ).
cnf(refute_0_12826,plain,
not(or(not(t5),Y)) = and(t5,not(Y)),
inference(subst,[],[refute_0_159:[bind(X,$fot(t5)),bind(X_26,$fot(Y))]]) ).
cnf(refute_0_12827,plain,
or(and(t5,not(xor(t6,or(carry,and(t5,t6))))),and(not(t5),xor(t6,or(carry,and(t5,t6))))) = xor(t5,xor(t6,or(carry,and(t5,t6)))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t5)),bind(Y,$fot(xor(t6,or(carry,and(t5,t6)))))]]) ).
cnf(refute_0_12828,plain,
and(not(t5),xor(t6,or(carry,and(t5,t6)))) = and(cin,and(t4,xor(t6,or(carry,and(t5,t6))))),
inference(subst,[],[refute_0_841:[bind(X_222,$fot(xor(t6,or(carry,and(t5,t6)))))]]) ).
cnf(refute_0_12829,plain,
and(and(t4,not(t6)),X_222) = and(t4,and(not(t6),X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(t4)),bind(Y,$fot(not(t6))),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_12830,plain,
( and(and(t4,not(t6)),X_222) != and(t4,and(not(t6),X_222))
| and(t4,not(t6)) != not(t6)
| and(not(t6),X_222) = and(t4,and(not(t6),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t4,not(t6)),X_222),and(t4,and(not(t6),X_222))) ),[0,0],$fot(not(t6))]]) ).
cnf(refute_0_12831,plain,
( and(and(t4,not(t6)),X_222) != and(t4,and(not(t6),X_222))
| and(not(t6),X_222) = and(t4,and(not(t6),X_222)) ),
inference(resolve,[$cnf( $equal(and(t4,not(t6)),not(t6)) )],[refute_0_12767,refute_0_12830]) ).
cnf(refute_0_12832,plain,
and(not(t6),X_222) = and(t4,and(not(t6),X_222)),
inference(resolve,[$cnf( $equal(and(and(t4,not(t6)),X_222),and(t4,and(not(t6),X_222))) )],[refute_0_12829,refute_0_12831]) ).
cnf(refute_0_12833,plain,
and(not(t6),or(carry,and(t5,t6))) = and(t4,and(not(t6),or(carry,and(t5,t6)))),
inference(subst,[],[refute_0_12832:[bind(X_222,$fot(or(carry,and(t5,t6))))]]) ).
cnf(refute_0_12834,plain,
or(and(t6,not(or(carry,and(t5,t6)))),and(not(t6),or(carry,and(t5,t6)))) = xor(t6,or(carry,and(t5,t6))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t6)),bind(Y,$fot(or(carry,and(t5,t6))))]]) ).
cnf(refute_0_12835,plain,
and(not(carry),and(t6,xor(t5,t6))) = and(t1,and(t5,and(t6,xor(t5,t6)))),
inference(subst,[],[refute_0_178:[bind(X_222,$fot(and(t6,xor(t5,t6))))]]) ).
cnf(refute_0_12836,plain,
and(and(t5,t6),not(and(t5,t6))) = ll0,
inference(subst,[],[and_complement:[bind(X,$fot(and(t5,t6)))]]) ).
cnf(refute_0_12837,plain,
( and(and(t5,t6),not(and(t5,t6))) != ll0
| not(and(t5,t6)) != xor(t5,t6)
| and(and(t5,t6),xor(t5,t6)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t5,t6),not(and(t5,t6))),ll0) ),[0,1],$fot(xor(t5,t6))]]) ).
cnf(refute_0_12838,plain,
( and(and(t5,t6),not(and(t5,t6))) != ll0
| and(and(t5,t6),xor(t5,t6)) = ll0 ),
inference(resolve,[$cnf( $equal(not(and(t5,t6)),xor(t5,t6)) )],[refute_0_2033,refute_0_12837]) ).
cnf(refute_0_12839,plain,
and(and(t5,t6),xor(t5,t6)) = ll0,
inference(resolve,[$cnf( $equal(and(and(t5,t6),not(and(t5,t6))),ll0) )],[refute_0_12836,refute_0_12838]) ).
cnf(refute_0_12840,plain,
and(and(t5,t6),xor(t5,t6)) = and(t5,and(t6,xor(t5,t6))),
inference(subst,[],[and_associative:[bind(X,$fot(t5)),bind(Y,$fot(t6)),bind(Z,$fot(xor(t5,t6)))]]) ).
cnf(refute_0_12841,plain,
( and(and(t5,t6),xor(t5,t6)) != and(t5,and(t6,xor(t5,t6)))
| and(and(t5,t6),xor(t5,t6)) != ll0
| and(t5,and(t6,xor(t5,t6))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t5,t6),xor(t5,t6)),ll0) ),[0],$fot(and(t5,and(t6,xor(t5,t6))))]]) ).
cnf(refute_0_12842,plain,
( and(and(t5,t6),xor(t5,t6)) != ll0
| and(t5,and(t6,xor(t5,t6))) = ll0 ),
inference(resolve,[$cnf( $equal(and(and(t5,t6),xor(t5,t6)),and(t5,and(t6,xor(t5,t6)))) )],[refute_0_12840,refute_0_12841]) ).
cnf(refute_0_12843,plain,
and(t5,and(t6,xor(t5,t6))) = ll0,
inference(resolve,[$cnf( $equal(and(and(t5,t6),xor(t5,t6)),ll0) )],[refute_0_12839,refute_0_12842]) ).
cnf(refute_0_12844,plain,
( and(not(carry),and(t6,xor(t5,t6))) != and(t1,and(t5,and(t6,xor(t5,t6))))
| and(t5,and(t6,xor(t5,t6))) != ll0
| and(not(carry),and(t6,xor(t5,t6))) = and(t1,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),and(t6,xor(t5,t6))),and(t1,and(t5,and(t6,xor(t5,t6))))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_12845,plain,
( and(not(carry),and(t6,xor(t5,t6))) != and(t1,and(t5,and(t6,xor(t5,t6))))
| and(not(carry),and(t6,xor(t5,t6))) = and(t1,ll0) ),
inference(resolve,[$cnf( $equal(and(t5,and(t6,xor(t5,t6))),ll0) )],[refute_0_12843,refute_0_12844]) ).
cnf(refute_0_12846,plain,
and(not(carry),and(t6,xor(t5,t6))) = and(t1,ll0),
inference(resolve,[$cnf( $equal(and(not(carry),and(t6,xor(t5,t6))),and(t1,and(t5,and(t6,xor(t5,t6))))) )],[refute_0_12835,refute_0_12845]) ).
cnf(refute_0_12847,plain,
not(or(X,and(t5,t6))) = and(not(X),not(and(t5,t6))),
inference(subst,[],[or_demorgan:[bind(Y,$fot(and(t5,t6)))]]) ).
cnf(refute_0_12848,plain,
( not(and(t5,t6)) != xor(t5,t6)
| not(or(X,and(t5,t6))) != and(not(X),not(and(t5,t6)))
| not(or(X,and(t5,t6))) = and(not(X),xor(t5,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,and(t5,t6))),and(not(X),not(and(t5,t6)))) ),[1,1],$fot(xor(t5,t6))]]) ).
cnf(refute_0_12849,plain,
( not(or(X,and(t5,t6))) != and(not(X),not(and(t5,t6)))
| not(or(X,and(t5,t6))) = and(not(X),xor(t5,t6)) ),
inference(resolve,[$cnf( $equal(not(and(t5,t6)),xor(t5,t6)) )],[refute_0_2033,refute_0_12848]) ).
cnf(refute_0_12850,plain,
not(or(X,and(t5,t6))) = and(not(X),xor(t5,t6)),
inference(resolve,[$cnf( $equal(not(or(X,and(t5,t6))),and(not(X),not(and(t5,t6)))) )],[refute_0_12847,refute_0_12849]) ).
cnf(refute_0_12851,plain,
( not(or(X,and(t5,t6))) != and(not(X),xor(t5,t6))
| and(not(X),xor(t5,t6)) = not(or(X,and(t5,t6))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X,and(t5,t6))))),bind(Y0,$fot(and(not(X),xor(t5,t6))))]]) ).
cnf(refute_0_12852,plain,
and(not(X),xor(t5,t6)) = not(or(X,and(t5,t6))),
inference(resolve,[$cnf( $equal(not(or(X,and(t5,t6))),and(not(X),xor(t5,t6))) )],[refute_0_12850,refute_0_12851]) ).
cnf(refute_0_12853,plain,
and(not(carry),xor(t5,t6)) = not(or(carry,and(t5,t6))),
inference(subst,[],[refute_0_12852:[bind(X,$fot(carry))]]) ).
cnf(refute_0_12854,plain,
and(t6,and(not(carry),xor(t5,t6))) = and(t6,and(not(carry),xor(t5,t6))),
introduced(tautology,[refl,[$fot(and(t6,and(not(carry),xor(t5,t6))))]]) ).
cnf(refute_0_12855,plain,
( and(not(carry),xor(t5,t6)) != not(or(carry,and(t5,t6)))
| and(t6,and(not(carry),xor(t5,t6))) != and(t6,and(not(carry),xor(t5,t6)))
| and(t6,and(not(carry),xor(t5,t6))) = and(t6,not(or(carry,and(t5,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,and(not(carry),xor(t5,t6))),and(t6,and(not(carry),xor(t5,t6)))) ),[1,1],$fot(not(or(carry,and(t5,t6))))]]) ).
cnf(refute_0_12856,plain,
( and(not(carry),xor(t5,t6)) != not(or(carry,and(t5,t6)))
| and(t6,and(not(carry),xor(t5,t6))) = and(t6,not(or(carry,and(t5,t6)))) ),
inference(resolve,[$cnf( $equal(and(t6,and(not(carry),xor(t5,t6))),and(t6,and(not(carry),xor(t5,t6)))) )],[refute_0_12854,refute_0_12855]) ).
cnf(refute_0_12857,plain,
and(t6,and(not(carry),xor(t5,t6))) = and(t6,not(or(carry,and(t5,t6)))),
inference(resolve,[$cnf( $equal(and(not(carry),xor(t5,t6)),not(or(carry,and(t5,t6)))) )],[refute_0_12853,refute_0_12856]) ).
cnf(refute_0_12858,plain,
and(not(carry),and(t6,xor(t5,t6))) = and(t6,and(not(carry),xor(t5,t6))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(carry))),bind(X_221,$fot(t6)),bind(X_222,$fot(xor(t5,t6)))]]) ).
cnf(refute_0_12859,plain,
( and(not(carry),and(t6,xor(t5,t6))) != and(t6,and(not(carry),xor(t5,t6)))
| and(t6,and(not(carry),xor(t5,t6))) != and(t6,not(or(carry,and(t5,t6))))
| and(not(carry),and(t6,xor(t5,t6))) = and(t6,not(or(carry,and(t5,t6)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(carry),and(t6,xor(t5,t6))))),bind(Y0,$fot(and(t6,and(not(carry),xor(t5,t6))))),bind(Z0,$fot(and(t6,not(or(carry,and(t5,t6))))))]]) ).
cnf(refute_0_12860,plain,
( and(t6,and(not(carry),xor(t5,t6))) != and(t6,not(or(carry,and(t5,t6))))
| and(not(carry),and(t6,xor(t5,t6))) = and(t6,not(or(carry,and(t5,t6)))) ),
inference(resolve,[$cnf( $equal(and(not(carry),and(t6,xor(t5,t6))),and(t6,and(not(carry),xor(t5,t6)))) )],[refute_0_12858,refute_0_12859]) ).
cnf(refute_0_12861,plain,
and(not(carry),and(t6,xor(t5,t6))) = and(t6,not(or(carry,and(t5,t6)))),
inference(resolve,[$cnf( $equal(and(t6,and(not(carry),xor(t5,t6))),and(t6,not(or(carry,and(t5,t6))))) )],[refute_0_12857,refute_0_12860]) ).
cnf(refute_0_12862,plain,
( and(not(carry),and(t6,xor(t5,t6))) != and(t1,ll0)
| and(not(carry),and(t6,xor(t5,t6))) != and(t6,not(or(carry,and(t5,t6))))
| and(t6,not(or(carry,and(t5,t6)))) = and(t1,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),and(t6,xor(t5,t6))),and(t1,ll0)) ),[0],$fot(and(t6,not(or(carry,and(t5,t6)))))]]) ).
cnf(refute_0_12863,plain,
( and(not(carry),and(t6,xor(t5,t6))) != and(t1,ll0)
| and(t6,not(or(carry,and(t5,t6)))) = and(t1,ll0) ),
inference(resolve,[$cnf( $equal(and(not(carry),and(t6,xor(t5,t6))),and(t6,not(or(carry,and(t5,t6))))) )],[refute_0_12861,refute_0_12862]) ).
cnf(refute_0_12864,plain,
( and(t1,ll0) != ll0
| and(t6,not(or(carry,and(t5,t6)))) != and(t1,ll0)
| and(t6,not(or(carry,and(t5,t6)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(or(carry,and(t5,t6)))),and(t1,ll0)) ),[1],$fot(ll0)]]) ).
cnf(refute_0_12865,plain,
( and(t6,not(or(carry,and(t5,t6)))) != and(t1,ll0)
| and(t6,not(or(carry,and(t5,t6)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(t1,ll0),ll0) )],[refute_0_7734,refute_0_12864]) ).
cnf(refute_0_12866,plain,
( and(not(carry),and(t6,xor(t5,t6))) != and(t1,ll0)
| and(t6,not(or(carry,and(t5,t6)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(t6,not(or(carry,and(t5,t6)))),and(t1,ll0)) )],[refute_0_12863,refute_0_12865]) ).
cnf(refute_0_12867,plain,
and(t6,not(or(carry,and(t5,t6)))) = ll0,
inference(resolve,[$cnf( $equal(and(not(carry),and(t6,xor(t5,t6))),and(t1,ll0)) )],[refute_0_12846,refute_0_12866]) ).
cnf(refute_0_12868,plain,
( and(t6,not(or(carry,and(t5,t6)))) != ll0
| or(and(t6,not(or(carry,and(t5,t6)))),and(not(t6),or(carry,and(t5,t6)))) != xor(t6,or(carry,and(t5,t6)))
| or(ll0,and(not(t6),or(carry,and(t5,t6)))) = xor(t6,or(carry,and(t5,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,not(or(carry,and(t5,t6)))),and(not(t6),or(carry,and(t5,t6)))),xor(t6,or(carry,and(t5,t6)))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_12869,plain,
( or(and(t6,not(or(carry,and(t5,t6)))),and(not(t6),or(carry,and(t5,t6)))) != xor(t6,or(carry,and(t5,t6)))
| or(ll0,and(not(t6),or(carry,and(t5,t6)))) = xor(t6,or(carry,and(t5,t6))) ),
inference(resolve,[$cnf( $equal(and(t6,not(or(carry,and(t5,t6)))),ll0) )],[refute_0_12867,refute_0_12868]) ).
cnf(refute_0_12870,plain,
or(ll0,and(not(t6),or(carry,and(t5,t6)))) = xor(t6,or(carry,and(t5,t6))),
inference(resolve,[$cnf( $equal(or(and(t6,not(or(carry,and(t5,t6)))),and(not(t6),or(carry,and(t5,t6)))),xor(t6,or(carry,and(t5,t6)))) )],[refute_0_12834,refute_0_12869]) ).
cnf(refute_0_12871,plain,
or(ll0,and(not(t6),or(carry,and(t5,t6)))) = and(not(t6),or(carry,and(t5,t6))),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(t6),or(carry,and(t5,t6)))))]]) ).
cnf(refute_0_12872,plain,
( or(ll0,and(not(t6),or(carry,and(t5,t6)))) != and(not(t6),or(carry,and(t5,t6)))
| or(ll0,and(not(t6),or(carry,and(t5,t6)))) != xor(t6,or(carry,and(t5,t6)))
| and(not(t6),or(carry,and(t5,t6))) = xor(t6,or(carry,and(t5,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(t6),or(carry,and(t5,t6)))),xor(t6,or(carry,and(t5,t6)))) ),[0],$fot(and(not(t6),or(carry,and(t5,t6))))]]) ).
cnf(refute_0_12873,plain,
( or(ll0,and(not(t6),or(carry,and(t5,t6)))) != xor(t6,or(carry,and(t5,t6)))
| and(not(t6),or(carry,and(t5,t6))) = xor(t6,or(carry,and(t5,t6))) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t6),or(carry,and(t5,t6)))),and(not(t6),or(carry,and(t5,t6)))) )],[refute_0_12871,refute_0_12872]) ).
cnf(refute_0_12874,plain,
and(not(t6),or(carry,and(t5,t6))) = xor(t6,or(carry,and(t5,t6))),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t6),or(carry,and(t5,t6)))),xor(t6,or(carry,and(t5,t6)))) )],[refute_0_12870,refute_0_12873]) ).
cnf(refute_0_12875,plain,
( and(not(t6),or(carry,and(t5,t6))) != and(t4,and(not(t6),or(carry,and(t5,t6))))
| and(not(t6),or(carry,and(t5,t6))) != xor(t6,or(carry,and(t5,t6)))
| and(not(t6),or(carry,and(t5,t6))) = and(t4,xor(t6,or(carry,and(t5,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),or(carry,and(t5,t6))),and(t4,and(not(t6),or(carry,and(t5,t6))))) ),[1,1],$fot(xor(t6,or(carry,and(t5,t6))))]]) ).
cnf(refute_0_12876,plain,
( and(not(t6),or(carry,and(t5,t6))) != and(t4,and(not(t6),or(carry,and(t5,t6))))
| and(not(t6),or(carry,and(t5,t6))) = and(t4,xor(t6,or(carry,and(t5,t6)))) ),
inference(resolve,[$cnf( $equal(and(not(t6),or(carry,and(t5,t6))),xor(t6,or(carry,and(t5,t6)))) )],[refute_0_12874,refute_0_12875]) ).
cnf(refute_0_12877,plain,
and(not(t6),or(carry,and(t5,t6))) = and(t4,xor(t6,or(carry,and(t5,t6)))),
inference(resolve,[$cnf( $equal(and(not(t6),or(carry,and(t5,t6))),and(t4,and(not(t6),or(carry,and(t5,t6))))) )],[refute_0_12833,refute_0_12876]) ).
cnf(refute_0_12878,plain,
( and(not(t6),or(carry,and(t5,t6))) != and(t4,xor(t6,or(carry,and(t5,t6))))
| and(not(t6),or(carry,and(t5,t6))) != xor(t6,or(carry,and(t5,t6)))
| xor(t6,or(carry,and(t5,t6))) = and(t4,xor(t6,or(carry,and(t5,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),or(carry,and(t5,t6))),and(t4,xor(t6,or(carry,and(t5,t6))))) ),[0],$fot(xor(t6,or(carry,and(t5,t6))))]]) ).
cnf(refute_0_12879,plain,
( and(not(t6),or(carry,and(t5,t6))) != and(t4,xor(t6,or(carry,and(t5,t6))))
| xor(t6,or(carry,and(t5,t6))) = and(t4,xor(t6,or(carry,and(t5,t6)))) ),
inference(resolve,[$cnf( $equal(and(not(t6),or(carry,and(t5,t6))),xor(t6,or(carry,and(t5,t6)))) )],[refute_0_12874,refute_0_12878]) ).
cnf(refute_0_12880,plain,
xor(t6,or(carry,and(t5,t6))) = and(t4,xor(t6,or(carry,and(t5,t6)))),
inference(resolve,[$cnf( $equal(and(not(t6),or(carry,and(t5,t6))),and(t4,xor(t6,or(carry,and(t5,t6))))) )],[refute_0_12877,refute_0_12879]) ).
cnf(refute_0_12881,plain,
( xor(t6,or(carry,and(t5,t6))) != and(t4,xor(t6,or(carry,and(t5,t6))))
| and(t4,xor(t6,or(carry,and(t5,t6)))) = xor(t6,or(carry,and(t5,t6))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t6,or(carry,and(t5,t6))))),bind(Y0,$fot(and(t4,xor(t6,or(carry,and(t5,t6))))))]]) ).
cnf(refute_0_12882,plain,
and(t4,xor(t6,or(carry,and(t5,t6)))) = xor(t6,or(carry,and(t5,t6))),
inference(resolve,[$cnf( $equal(xor(t6,or(carry,and(t5,t6))),and(t4,xor(t6,or(carry,and(t5,t6))))) )],[refute_0_12880,refute_0_12881]) ).
cnf(refute_0_12883,plain,
( and(not(t5),xor(t6,or(carry,and(t5,t6)))) != and(cin,and(t4,xor(t6,or(carry,and(t5,t6)))))
| and(t4,xor(t6,or(carry,and(t5,t6)))) != xor(t6,or(carry,and(t5,t6)))
| and(not(t5),xor(t6,or(carry,and(t5,t6)))) = and(cin,xor(t6,or(carry,and(t5,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),xor(t6,or(carry,and(t5,t6)))),and(cin,and(t4,xor(t6,or(carry,and(t5,t6)))))) ),[1,1],$fot(xor(t6,or(carry,and(t5,t6))))]]) ).
cnf(refute_0_12884,plain,
( and(not(t5),xor(t6,or(carry,and(t5,t6)))) != and(cin,and(t4,xor(t6,or(carry,and(t5,t6)))))
| and(not(t5),xor(t6,or(carry,and(t5,t6)))) = and(cin,xor(t6,or(carry,and(t5,t6)))) ),
inference(resolve,[$cnf( $equal(and(t4,xor(t6,or(carry,and(t5,t6)))),xor(t6,or(carry,and(t5,t6)))) )],[refute_0_12882,refute_0_12883]) ).
cnf(refute_0_12885,plain,
and(not(t5),xor(t6,or(carry,and(t5,t6)))) = and(cin,xor(t6,or(carry,and(t5,t6)))),
inference(resolve,[$cnf( $equal(and(not(t5),xor(t6,or(carry,and(t5,t6)))),and(cin,and(t4,xor(t6,or(carry,and(t5,t6)))))) )],[refute_0_12828,refute_0_12884]) ).
cnf(refute_0_12886,plain,
not(or(not(and(cin,X_55)),t6)) = not(or(t6,not(and(cin,X_55)))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(t6)),bind(X_26,$fot(not(and(cin,X_55))))]]) ).
cnf(refute_0_12887,plain,
( not(or(not(and(cin,X_55)),t6)) != not(or(t6,not(and(cin,X_55))))
| or(t6,not(and(cin,X_55))) != ll1
| not(or(not(and(cin,X_55)),t6)) = not(ll1) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(and(cin,X_55)),t6)),not(or(t6,not(and(cin,X_55))))) ),[1,0],$fot(ll1)]]) ).
cnf(refute_0_12888,plain,
( not(or(not(and(cin,X_55)),t6)) != not(or(t6,not(and(cin,X_55))))
| not(or(not(and(cin,X_55)),t6)) = not(ll1) ),
inference(resolve,[$cnf( $equal(or(t6,not(and(cin,X_55))),ll1) )],[refute_0_1069,refute_0_12887]) ).
cnf(refute_0_12889,plain,
not(or(not(and(cin,X_55)),t6)) = not(ll1),
inference(resolve,[$cnf( $equal(not(or(not(and(cin,X_55)),t6)),not(or(t6,not(and(cin,X_55))))) )],[refute_0_12886,refute_0_12888]) ).
cnf(refute_0_12890,plain,
and(and(cin,X_55),not(t6)) = and(cin,and(X_55,not(t6))),
inference(subst,[],[and_associative:[bind(X,$fot(cin)),bind(Y,$fot(X_55)),bind(Z,$fot(not(t6)))]]) ).
cnf(refute_0_12891,plain,
not(or(not(and(cin,X_55)),t6)) = and(and(cin,X_55),not(t6)),
inference(subst,[],[refute_0_159:[bind(X,$fot(and(cin,X_55))),bind(X_26,$fot(t6))]]) ).
cnf(refute_0_12892,plain,
( and(and(cin,X_55),not(t6)) != and(cin,and(X_55,not(t6)))
| not(or(not(and(cin,X_55)),t6)) != and(and(cin,X_55),not(t6))
| not(or(not(and(cin,X_55)),t6)) = and(cin,and(X_55,not(t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(not(and(cin,X_55)),t6)))),bind(Y0,$fot(and(and(cin,X_55),not(t6)))),bind(Z0,$fot(and(cin,and(X_55,not(t6)))))]]) ).
cnf(refute_0_12893,plain,
( and(and(cin,X_55),not(t6)) != and(cin,and(X_55,not(t6)))
| not(or(not(and(cin,X_55)),t6)) = and(cin,and(X_55,not(t6))) ),
inference(resolve,[$cnf( $equal(not(or(not(and(cin,X_55)),t6)),and(and(cin,X_55),not(t6))) )],[refute_0_12891,refute_0_12892]) ).
cnf(refute_0_12894,plain,
not(or(not(and(cin,X_55)),t6)) = and(cin,and(X_55,not(t6))),
inference(resolve,[$cnf( $equal(and(and(cin,X_55),not(t6)),and(cin,and(X_55,not(t6)))) )],[refute_0_12890,refute_0_12893]) ).
cnf(refute_0_12895,plain,
( not(or(not(and(cin,X_55)),t6)) != and(cin,and(X_55,not(t6)))
| not(or(not(and(cin,X_55)),t6)) != not(ll1)
| and(cin,and(X_55,not(t6))) = not(ll1) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(and(cin,X_55)),t6)),not(ll1)) ),[0],$fot(and(cin,and(X_55,not(t6))))]]) ).
cnf(refute_0_12896,plain,
( not(or(not(and(cin,X_55)),t6)) != not(ll1)
| and(cin,and(X_55,not(t6))) = not(ll1) ),
inference(resolve,[$cnf( $equal(not(or(not(and(cin,X_55)),t6)),and(cin,and(X_55,not(t6)))) )],[refute_0_12894,refute_0_12895]) ).
cnf(refute_0_12897,plain,
( and(cin,and(X_55,not(t6))) != not(ll1)
| not(ll1) != ll0
| and(cin,and(X_55,not(t6))) = ll0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(cin,and(X_55,not(t6))),ll0) ),[0],$fot(not(ll1))]]) ).
cnf(refute_0_12898,plain,
( and(cin,and(X_55,not(t6))) != not(ll1)
| and(cin,and(X_55,not(t6))) = ll0 ),
inference(resolve,[$cnf( $equal(not(ll1),ll0) )],[ll1_inverse,refute_0_12897]) ).
cnf(refute_0_12899,plain,
( not(or(not(and(cin,X_55)),t6)) != not(ll1)
| and(cin,and(X_55,not(t6))) = ll0 ),
inference(resolve,[$cnf( $equal(and(cin,and(X_55,not(t6))),not(ll1)) )],[refute_0_12896,refute_0_12898]) ).
cnf(refute_0_12900,plain,
and(cin,and(X_55,not(t6))) = ll0,
inference(resolve,[$cnf( $equal(not(or(not(and(cin,X_55)),t6)),not(ll1)) )],[refute_0_12889,refute_0_12899]) ).
cnf(refute_0_12901,plain,
and(cin,and(X_56,not(t6))) = ll0,
inference(subst,[],[refute_0_12900:[bind(X_55,$fot(X_56))]]) ).
cnf(refute_0_12902,plain,
and(not(t6),X_56) = and(X_56,not(t6)),
inference(subst,[],[and_commutative:[bind(X,$fot(not(t6))),bind(Y,$fot(X_56))]]) ).
cnf(refute_0_12903,plain,
( and(not(t6),X_56) != and(X_56,not(t6))
| and(X_56,not(t6)) = and(not(t6),X_56) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t6),X_56))),bind(Y0,$fot(and(X_56,not(t6))))]]) ).
cnf(refute_0_12904,plain,
and(X_56,not(t6)) = and(not(t6),X_56),
inference(resolve,[$cnf( $equal(and(not(t6),X_56),and(X_56,not(t6))) )],[refute_0_12902,refute_0_12903]) ).
cnf(refute_0_12905,plain,
( and(X_56,not(t6)) != and(not(t6),X_56)
| and(cin,and(X_56,not(t6))) != ll0
| and(cin,and(not(t6),X_56)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,and(X_56,not(t6))),ll0) ),[0,1],$fot(and(not(t6),X_56))]]) ).
cnf(refute_0_12906,plain,
( and(cin,and(X_56,not(t6))) != ll0
| and(cin,and(not(t6),X_56)) = ll0 ),
inference(resolve,[$cnf( $equal(and(X_56,not(t6)),and(not(t6),X_56)) )],[refute_0_12904,refute_0_12905]) ).
cnf(refute_0_12907,plain,
and(cin,and(not(t6),X_56)) = ll0,
inference(resolve,[$cnf( $equal(and(cin,and(X_56,not(t6))),ll0) )],[refute_0_12901,refute_0_12906]) ).
cnf(refute_0_12908,plain,
and(cin,and(not(t6),or(carry,and(t5,t6)))) = ll0,
inference(subst,[],[refute_0_12907:[bind(X_56,$fot(or(carry,and(t5,t6))))]]) ).
cnf(refute_0_12909,plain,
( and(cin,and(not(t6),or(carry,and(t5,t6)))) != ll0
| and(not(t6),or(carry,and(t5,t6))) != xor(t6,or(carry,and(t5,t6)))
| and(cin,xor(t6,or(carry,and(t5,t6)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,and(not(t6),or(carry,and(t5,t6)))),ll0) ),[0,1],$fot(xor(t6,or(carry,and(t5,t6))))]]) ).
cnf(refute_0_12910,plain,
( and(cin,and(not(t6),or(carry,and(t5,t6)))) != ll0
| and(cin,xor(t6,or(carry,and(t5,t6)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(not(t6),or(carry,and(t5,t6))),xor(t6,or(carry,and(t5,t6)))) )],[refute_0_12874,refute_0_12909]) ).
cnf(refute_0_12911,plain,
and(cin,xor(t6,or(carry,and(t5,t6)))) = ll0,
inference(resolve,[$cnf( $equal(and(cin,and(not(t6),or(carry,and(t5,t6)))),ll0) )],[refute_0_12908,refute_0_12910]) ).
cnf(refute_0_12912,plain,
( and(cin,xor(t6,or(carry,and(t5,t6)))) != ll0
| and(not(t5),xor(t6,or(carry,and(t5,t6)))) != and(cin,xor(t6,or(carry,and(t5,t6))))
| and(not(t5),xor(t6,or(carry,and(t5,t6)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),xor(t6,or(carry,and(t5,t6)))),and(cin,xor(t6,or(carry,and(t5,t6))))) ),[1],$fot(ll0)]]) ).
cnf(refute_0_12913,plain,
( and(not(t5),xor(t6,or(carry,and(t5,t6)))) != and(cin,xor(t6,or(carry,and(t5,t6))))
| and(not(t5),xor(t6,or(carry,and(t5,t6)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(cin,xor(t6,or(carry,and(t5,t6)))),ll0) )],[refute_0_12911,refute_0_12912]) ).
cnf(refute_0_12914,plain,
and(not(t5),xor(t6,or(carry,and(t5,t6)))) = ll0,
inference(resolve,[$cnf( $equal(and(not(t5),xor(t6,or(carry,and(t5,t6)))),and(cin,xor(t6,or(carry,and(t5,t6))))) )],[refute_0_12885,refute_0_12913]) ).
cnf(refute_0_12915,plain,
( and(not(t5),xor(t6,or(carry,and(t5,t6)))) != ll0
| or(and(t5,not(xor(t6,or(carry,and(t5,t6))))),and(not(t5),xor(t6,or(carry,and(t5,t6))))) != xor(t5,xor(t6,or(carry,and(t5,t6))))
| or(and(t5,not(xor(t6,or(carry,and(t5,t6))))),ll0) = xor(t5,xor(t6,or(carry,and(t5,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t5,not(xor(t6,or(carry,and(t5,t6))))),and(not(t5),xor(t6,or(carry,and(t5,t6))))),xor(t5,xor(t6,or(carry,and(t5,t6))))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_12916,plain,
( or(and(t5,not(xor(t6,or(carry,and(t5,t6))))),and(not(t5),xor(t6,or(carry,and(t5,t6))))) != xor(t5,xor(t6,or(carry,and(t5,t6))))
| or(and(t5,not(xor(t6,or(carry,and(t5,t6))))),ll0) = xor(t5,xor(t6,or(carry,and(t5,t6)))) ),
inference(resolve,[$cnf( $equal(and(not(t5),xor(t6,or(carry,and(t5,t6)))),ll0) )],[refute_0_12914,refute_0_12915]) ).
cnf(refute_0_12917,plain,
or(and(t5,not(xor(t6,or(carry,and(t5,t6))))),ll0) = xor(t5,xor(t6,or(carry,and(t5,t6)))),
inference(resolve,[$cnf( $equal(or(and(t5,not(xor(t6,or(carry,and(t5,t6))))),and(not(t5),xor(t6,or(carry,and(t5,t6))))),xor(t5,xor(t6,or(carry,and(t5,t6))))) )],[refute_0_12827,refute_0_12916]) ).
cnf(refute_0_12918,plain,
or(and(t5,not(xor(t6,or(carry,and(t5,t6))))),ll0) = and(t5,not(xor(t6,or(carry,and(t5,t6))))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t5,not(xor(t6,or(carry,and(t5,t6)))))))]]) ).
cnf(refute_0_12919,plain,
( or(and(t5,not(xor(t6,or(carry,and(t5,t6))))),ll0) != and(t5,not(xor(t6,or(carry,and(t5,t6)))))
| or(and(t5,not(xor(t6,or(carry,and(t5,t6))))),ll0) != xor(t5,xor(t6,or(carry,and(t5,t6))))
| and(t5,not(xor(t6,or(carry,and(t5,t6))))) = xor(t5,xor(t6,or(carry,and(t5,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t5,not(xor(t6,or(carry,and(t5,t6))))),ll0),xor(t5,xor(t6,or(carry,and(t5,t6))))) ),[0],$fot(and(t5,not(xor(t6,or(carry,and(t5,t6))))))]]) ).
cnf(refute_0_12920,plain,
( or(and(t5,not(xor(t6,or(carry,and(t5,t6))))),ll0) != xor(t5,xor(t6,or(carry,and(t5,t6))))
| and(t5,not(xor(t6,or(carry,and(t5,t6))))) = xor(t5,xor(t6,or(carry,and(t5,t6)))) ),
inference(resolve,[$cnf( $equal(or(and(t5,not(xor(t6,or(carry,and(t5,t6))))),ll0),and(t5,not(xor(t6,or(carry,and(t5,t6)))))) )],[refute_0_12918,refute_0_12919]) ).
cnf(refute_0_12921,plain,
and(t5,not(xor(t6,or(carry,and(t5,t6))))) = xor(t5,xor(t6,or(carry,and(t5,t6)))),
inference(resolve,[$cnf( $equal(or(and(t5,not(xor(t6,or(carry,and(t5,t6))))),ll0),xor(t5,xor(t6,or(carry,and(t5,t6))))) )],[refute_0_12917,refute_0_12920]) ).
cnf(refute_0_12922,plain,
not(and(not(carry),t4)) = not(and(t4,not(carry))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(t4)),bind(X_32,$fot(not(carry)))]]) ).
cnf(refute_0_12923,plain,
and(not(t6),not(carry)) = and(t4,and(t5,not(carry))),
inference(subst,[],[refute_0_667:[bind(X_222,$fot(not(carry)))]]) ).
cnf(refute_0_12924,plain,
( and(not(t6),not(carry)) != and(t4,and(t5,not(carry)))
| and(t5,not(carry)) != not(carry)
| and(not(t6),not(carry)) = and(t4,not(carry)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),not(carry)),and(t4,and(t5,not(carry)))) ),[1,1],$fot(not(carry))]]) ).
cnf(refute_0_12925,plain,
( and(not(t6),not(carry)) != and(t4,and(t5,not(carry)))
| and(not(t6),not(carry)) = and(t4,not(carry)) ),
inference(resolve,[$cnf( $equal(and(t5,not(carry)),not(carry)) )],[refute_0_11821,refute_0_12924]) ).
cnf(refute_0_12926,plain,
and(not(t6),not(carry)) = and(t4,not(carry)),
inference(resolve,[$cnf( $equal(and(not(t6),not(carry)),and(t4,and(t5,not(carry)))) )],[refute_0_12923,refute_0_12925]) ).
cnf(refute_0_12927,plain,
not(or(t6,carry)) = not(or(carry,t6)),
inference(subst,[],[refute_0_562:[bind(X_25,$fot(t6)),bind(X_26,$fot(carry))]]) ).
cnf(refute_0_12928,plain,
and(not(t6),not(carry)) = not(or(t6,carry)),
inference(subst,[],[refute_0_101:[bind(X,$fot(t6)),bind(Y,$fot(carry))]]) ).
cnf(refute_0_12929,plain,
( and(not(t6),not(carry)) != not(or(t6,carry))
| not(or(t6,carry)) != not(or(carry,t6))
| and(not(t6),not(carry)) = not(or(carry,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t6),not(carry)))),bind(Y0,$fot(not(or(t6,carry)))),bind(Z0,$fot(not(or(carry,t6))))]]) ).
cnf(refute_0_12930,plain,
( not(or(t6,carry)) != not(or(carry,t6))
| and(not(t6),not(carry)) = not(or(carry,t6)) ),
inference(resolve,[$cnf( $equal(and(not(t6),not(carry)),not(or(t6,carry))) )],[refute_0_12928,refute_0_12929]) ).
cnf(refute_0_12931,plain,
and(not(t6),not(carry)) = not(or(carry,t6)),
inference(resolve,[$cnf( $equal(not(or(t6,carry)),not(or(carry,t6))) )],[refute_0_12927,refute_0_12930]) ).
cnf(refute_0_12932,plain,
( and(not(t6),not(carry)) != and(t4,not(carry))
| and(not(t6),not(carry)) != not(or(carry,t6))
| not(or(carry,t6)) = and(t4,not(carry)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),not(carry)),and(t4,not(carry))) ),[0],$fot(not(or(carry,t6)))]]) ).
cnf(refute_0_12933,plain,
( and(not(t6),not(carry)) != and(t4,not(carry))
| not(or(carry,t6)) = and(t4,not(carry)) ),
inference(resolve,[$cnf( $equal(and(not(t6),not(carry)),not(or(carry,t6))) )],[refute_0_12931,refute_0_12932]) ).
cnf(refute_0_12934,plain,
not(or(carry,t6)) = and(t4,not(carry)),
inference(resolve,[$cnf( $equal(and(not(t6),not(carry)),and(t4,not(carry))) )],[refute_0_12926,refute_0_12933]) ).
cnf(refute_0_12935,plain,
( not(or(carry,t6)) != and(t4,not(carry))
| and(t4,not(carry)) = not(or(carry,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(carry,t6)))),bind(Y0,$fot(and(t4,not(carry))))]]) ).
cnf(refute_0_12936,plain,
and(t4,not(carry)) = not(or(carry,t6)),
inference(resolve,[$cnf( $equal(not(or(carry,t6)),and(t4,not(carry))) )],[refute_0_12934,refute_0_12935]) ).
cnf(refute_0_12937,plain,
( and(t4,not(carry)) != not(or(carry,t6))
| not(and(not(carry),t4)) != not(and(t4,not(carry)))
| not(and(not(carry),t4)) = not(not(or(carry,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(carry),t4)),not(and(t4,not(carry)))) ),[1,0],$fot(not(or(carry,t6)))]]) ).
cnf(refute_0_12938,plain,
( not(and(not(carry),t4)) != not(and(t4,not(carry)))
| not(and(not(carry),t4)) = not(not(or(carry,t6))) ),
inference(resolve,[$cnf( $equal(and(t4,not(carry)),not(or(carry,t6))) )],[refute_0_12936,refute_0_12937]) ).
cnf(refute_0_12939,plain,
not(and(not(carry),t4)) = not(not(or(carry,t6))),
inference(resolve,[$cnf( $equal(not(and(not(carry),t4)),not(and(t4,not(carry)))) )],[refute_0_12922,refute_0_12938]) ).
cnf(refute_0_12940,plain,
not(and(not(carry),t4)) = or(carry,not(t4)),
inference(subst,[],[refute_0_787:[bind(X,$fot(carry)),bind(X_32,$fot(t4))]]) ).
cnf(refute_0_12941,plain,
( not(and(not(carry),t4)) != not(not(or(carry,t6)))
| not(and(not(carry),t4)) != or(carry,not(t4))
| or(carry,not(t4)) = not(not(or(carry,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(carry),t4)),not(not(or(carry,t6)))) ),[0],$fot(or(carry,not(t4)))]]) ).
cnf(refute_0_12942,plain,
( not(and(not(carry),t4)) != not(not(or(carry,t6)))
| or(carry,not(t4)) = not(not(or(carry,t6))) ),
inference(resolve,[$cnf( $equal(not(and(not(carry),t4)),or(carry,not(t4))) )],[refute_0_12940,refute_0_12941]) ).
cnf(refute_0_12943,plain,
( not(not(or(carry,t6))) != or(carry,t6)
| or(carry,not(t4)) != not(not(or(carry,t6)))
| or(carry,not(t4)) = or(carry,t6) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(t4)),not(not(or(carry,t6)))) ),[1],$fot(or(carry,t6))]]) ).
cnf(refute_0_12944,plain,
( or(carry,not(t4)) != not(not(or(carry,t6)))
| or(carry,not(t4)) = or(carry,t6) ),
inference(resolve,[$cnf( $equal(not(not(or(carry,t6))),or(carry,t6)) )],[refute_0_10650,refute_0_12943]) ).
cnf(refute_0_12945,plain,
( not(and(not(carry),t4)) != not(not(or(carry,t6)))
| or(carry,not(t4)) = or(carry,t6) ),
inference(resolve,[$cnf( $equal(or(carry,not(t4)),not(not(or(carry,t6)))) )],[refute_0_12942,refute_0_12944]) ).
cnf(refute_0_12946,plain,
or(carry,not(t4)) = or(carry,t6),
inference(resolve,[$cnf( $equal(not(and(not(carry),t4)),not(not(or(carry,t6)))) )],[refute_0_12939,refute_0_12945]) ).
cnf(refute_0_12947,plain,
or(carry,and(t5,t6)) = or(carry,and(t5,t6)),
introduced(tautology,[refl,[$fot(or(carry,and(t5,t6)))]]) ).
cnf(refute_0_12948,plain,
( and(t5,t6) != not(t4)
| or(carry,and(t5,t6)) != or(carry,and(t5,t6))
| or(carry,and(t5,t6)) = or(carry,not(t4)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,and(t5,t6)),or(carry,and(t5,t6))) ),[1,1],$fot(not(t4))]]) ).
cnf(refute_0_12949,plain,
( and(t5,t6) != not(t4)
| or(carry,and(t5,t6)) = or(carry,not(t4)) ),
inference(resolve,[$cnf( $equal(or(carry,and(t5,t6)),or(carry,and(t5,t6))) )],[refute_0_12947,refute_0_12948]) ).
cnf(refute_0_12950,plain,
or(carry,and(t5,t6)) = or(carry,not(t4)),
inference(resolve,[$cnf( $equal(and(t5,t6),not(t4)) )],[refute_0_4573,refute_0_12949]) ).
cnf(refute_0_12951,plain,
( or(carry,and(t5,t6)) != or(carry,not(t4))
| or(carry,not(t4)) != or(carry,t6)
| or(carry,and(t5,t6)) = or(carry,t6) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(carry,and(t5,t6)))),bind(Y0,$fot(or(carry,not(t4)))),bind(Z0,$fot(or(carry,t6)))]]) ).
cnf(refute_0_12952,plain,
( or(carry,not(t4)) != or(carry,t6)
| or(carry,and(t5,t6)) = or(carry,t6) ),
inference(resolve,[$cnf( $equal(or(carry,and(t5,t6)),or(carry,not(t4))) )],[refute_0_12950,refute_0_12951]) ).
cnf(refute_0_12953,plain,
or(carry,and(t5,t6)) = or(carry,t6),
inference(resolve,[$cnf( $equal(or(carry,not(t4)),or(carry,t6)) )],[refute_0_12946,refute_0_12952]) ).
cnf(refute_0_12954,plain,
xor(t6,or(carry,and(t5,t6))) = xor(t6,or(carry,and(t5,t6))),
introduced(tautology,[refl,[$fot(xor(t6,or(carry,and(t5,t6))))]]) ).
cnf(refute_0_12955,plain,
( or(carry,and(t5,t6)) != or(carry,t6)
| xor(t6,or(carry,and(t5,t6))) != xor(t6,or(carry,and(t5,t6)))
| xor(t6,or(carry,and(t5,t6))) = xor(t6,or(carry,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,or(carry,and(t5,t6))),xor(t6,or(carry,and(t5,t6)))) ),[1,1],$fot(or(carry,t6))]]) ).
cnf(refute_0_12956,plain,
( or(carry,and(t5,t6)) != or(carry,t6)
| xor(t6,or(carry,and(t5,t6))) = xor(t6,or(carry,t6)) ),
inference(resolve,[$cnf( $equal(xor(t6,or(carry,and(t5,t6))),xor(t6,or(carry,and(t5,t6)))) )],[refute_0_12954,refute_0_12955]) ).
cnf(refute_0_12957,plain,
xor(t6,or(carry,and(t5,t6))) = xor(t6,or(carry,t6)),
inference(resolve,[$cnf( $equal(or(carry,and(t5,t6)),or(carry,t6)) )],[refute_0_12953,refute_0_12956]) ).
cnf(refute_0_12958,plain,
not(xor(t6,or(carry,and(t5,t6)))) = not(xor(t6,or(carry,and(t5,t6)))),
introduced(tautology,[refl,[$fot(not(xor(t6,or(carry,and(t5,t6)))))]]) ).
cnf(refute_0_12959,plain,
( not(xor(t6,or(carry,and(t5,t6)))) != not(xor(t6,or(carry,and(t5,t6))))
| xor(t6,or(carry,and(t5,t6))) != xor(t6,or(carry,t6))
| not(xor(t6,or(carry,and(t5,t6)))) = not(xor(t6,or(carry,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t6,or(carry,and(t5,t6)))),not(xor(t6,or(carry,and(t5,t6))))) ),[1,0],$fot(xor(t6,or(carry,t6)))]]) ).
cnf(refute_0_12960,plain,
( xor(t6,or(carry,and(t5,t6))) != xor(t6,or(carry,t6))
| not(xor(t6,or(carry,and(t5,t6)))) = not(xor(t6,or(carry,t6))) ),
inference(resolve,[$cnf( $equal(not(xor(t6,or(carry,and(t5,t6)))),not(xor(t6,or(carry,and(t5,t6))))) )],[refute_0_12958,refute_0_12959]) ).
cnf(refute_0_12961,plain,
not(xor(t6,or(carry,and(t5,t6)))) = not(xor(t6,or(carry,t6))),
inference(resolve,[$cnf( $equal(xor(t6,or(carry,and(t5,t6))),xor(t6,or(carry,t6))) )],[refute_0_12957,refute_0_12960]) ).
cnf(refute_0_12962,plain,
and(t5,not(xor(t6,or(carry,and(t5,t6))))) = and(t5,not(xor(t6,or(carry,and(t5,t6))))),
introduced(tautology,[refl,[$fot(and(t5,not(xor(t6,or(carry,and(t5,t6))))))]]) ).
cnf(refute_0_12963,plain,
( and(t5,not(xor(t6,or(carry,and(t5,t6))))) != and(t5,not(xor(t6,or(carry,and(t5,t6)))))
| not(xor(t6,or(carry,and(t5,t6)))) != not(xor(t6,or(carry,t6)))
| and(t5,not(xor(t6,or(carry,and(t5,t6))))) = and(t5,not(xor(t6,or(carry,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,not(xor(t6,or(carry,and(t5,t6))))),and(t5,not(xor(t6,or(carry,and(t5,t6)))))) ),[1,1],$fot(not(xor(t6,or(carry,t6))))]]) ).
cnf(refute_0_12964,plain,
( not(xor(t6,or(carry,and(t5,t6)))) != not(xor(t6,or(carry,t6)))
| and(t5,not(xor(t6,or(carry,and(t5,t6))))) = and(t5,not(xor(t6,or(carry,t6)))) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t6,or(carry,and(t5,t6))))),and(t5,not(xor(t6,or(carry,and(t5,t6)))))) )],[refute_0_12962,refute_0_12963]) ).
cnf(refute_0_12965,plain,
and(t5,not(xor(t6,or(carry,and(t5,t6))))) = and(t5,not(xor(t6,or(carry,t6)))),
inference(resolve,[$cnf( $equal(not(xor(t6,or(carry,and(t5,t6)))),not(xor(t6,or(carry,t6)))) )],[refute_0_12961,refute_0_12964]) ).
cnf(refute_0_12966,plain,
( and(t5,not(xor(t6,or(carry,and(t5,t6))))) != and(t5,not(xor(t6,or(carry,t6))))
| and(t5,not(xor(t6,or(carry,and(t5,t6))))) != xor(t5,xor(t6,or(carry,and(t5,t6))))
| and(t5,not(xor(t6,or(carry,t6)))) = xor(t5,xor(t6,or(carry,and(t5,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,not(xor(t6,or(carry,and(t5,t6))))),xor(t5,xor(t6,or(carry,and(t5,t6))))) ),[0],$fot(and(t5,not(xor(t6,or(carry,t6)))))]]) ).
cnf(refute_0_12967,plain,
( and(t5,not(xor(t6,or(carry,and(t5,t6))))) != xor(t5,xor(t6,or(carry,and(t5,t6))))
| and(t5,not(xor(t6,or(carry,t6)))) = xor(t5,xor(t6,or(carry,and(t5,t6)))) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t6,or(carry,and(t5,t6))))),and(t5,not(xor(t6,or(carry,t6))))) )],[refute_0_12965,refute_0_12966]) ).
cnf(refute_0_12968,plain,
xor(t5,xor(t6,or(carry,and(t5,t6)))) = xor(t5,xor(t6,or(carry,and(t5,t6)))),
introduced(tautology,[refl,[$fot(xor(t5,xor(t6,or(carry,and(t5,t6)))))]]) ).
cnf(refute_0_12969,plain,
( xor(t5,xor(t6,or(carry,and(t5,t6)))) != xor(t5,xor(t6,or(carry,and(t5,t6))))
| xor(t6,or(carry,and(t5,t6))) != xor(t6,or(carry,t6))
| xor(t5,xor(t6,or(carry,and(t5,t6)))) = xor(t5,xor(t6,or(carry,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t5,xor(t6,or(carry,and(t5,t6)))),xor(t5,xor(t6,or(carry,and(t5,t6))))) ),[1,1],$fot(xor(t6,or(carry,t6)))]]) ).
cnf(refute_0_12970,plain,
( xor(t6,or(carry,and(t5,t6))) != xor(t6,or(carry,t6))
| xor(t5,xor(t6,or(carry,and(t5,t6)))) = xor(t5,xor(t6,or(carry,t6))) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(t6,or(carry,and(t5,t6)))),xor(t5,xor(t6,or(carry,and(t5,t6))))) )],[refute_0_12968,refute_0_12969]) ).
cnf(refute_0_12971,plain,
xor(t5,xor(t6,or(carry,and(t5,t6)))) = xor(t5,xor(t6,or(carry,t6))),
inference(resolve,[$cnf( $equal(xor(t6,or(carry,and(t5,t6))),xor(t6,or(carry,t6))) )],[refute_0_12957,refute_0_12970]) ).
cnf(refute_0_12972,plain,
( and(t5,not(xor(t6,or(carry,t6)))) != xor(t5,xor(t6,or(carry,and(t5,t6))))
| xor(t5,xor(t6,or(carry,and(t5,t6)))) != xor(t5,xor(t6,or(carry,t6)))
| and(t5,not(xor(t6,or(carry,t6)))) = xor(t5,xor(t6,or(carry,t6))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t5,not(xor(t6,or(carry,t6)))),xor(t5,xor(t6,or(carry,t6)))) ),[0],$fot(xor(t5,xor(t6,or(carry,and(t5,t6)))))]]) ).
cnf(refute_0_12973,plain,
( and(t5,not(xor(t6,or(carry,t6)))) != xor(t5,xor(t6,or(carry,and(t5,t6))))
| and(t5,not(xor(t6,or(carry,t6)))) = xor(t5,xor(t6,or(carry,t6))) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(t6,or(carry,and(t5,t6)))),xor(t5,xor(t6,or(carry,t6)))) )],[refute_0_12971,refute_0_12972]) ).
cnf(refute_0_12974,plain,
( and(t5,not(xor(t6,or(carry,and(t5,t6))))) != xor(t5,xor(t6,or(carry,and(t5,t6))))
| and(t5,not(xor(t6,or(carry,t6)))) = xor(t5,xor(t6,or(carry,t6))) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t6,or(carry,t6)))),xor(t5,xor(t6,or(carry,and(t5,t6))))) )],[refute_0_12967,refute_0_12973]) ).
cnf(refute_0_12975,plain,
and(t5,not(xor(t6,or(carry,t6)))) = xor(t5,xor(t6,or(carry,t6))),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t6,or(carry,and(t5,t6))))),xor(t5,xor(t6,or(carry,and(t5,t6))))) )],[refute_0_12921,refute_0_12974]) ).
cnf(refute_0_12976,plain,
xor(t5,xor(t6,or(carry,t6))) = xor(t4,or(carry,t6)),
inference(subst,[],[refute_0_8801:[bind(Z,$fot(or(carry,t6)))]]) ).
cnf(refute_0_12977,plain,
( and(t5,not(xor(t6,or(carry,t6)))) != xor(t5,xor(t6,or(carry,t6)))
| xor(t5,xor(t6,or(carry,t6))) != xor(t4,or(carry,t6))
| and(t5,not(xor(t6,or(carry,t6)))) = xor(t4,or(carry,t6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t5,not(xor(t6,or(carry,t6)))),xor(t4,or(carry,t6))) ),[0],$fot(xor(t5,xor(t6,or(carry,t6))))]]) ).
cnf(refute_0_12978,plain,
( and(t5,not(xor(t6,or(carry,t6)))) != xor(t5,xor(t6,or(carry,t6)))
| and(t5,not(xor(t6,or(carry,t6)))) = xor(t4,or(carry,t6)) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(t6,or(carry,t6))),xor(t4,or(carry,t6))) )],[refute_0_12976,refute_0_12977]) ).
cnf(refute_0_12979,plain,
and(t5,not(xor(t6,or(carry,t6)))) = xor(t4,or(carry,t6)),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t6,or(carry,t6)))),xor(t5,xor(t6,or(carry,t6)))) )],[refute_0_12975,refute_0_12978]) ).
cnf(refute_0_12980,plain,
and(t5,ll1) = t5,
inference(subst,[],[and_identity:[bind(X,$fot(t5))]]) ).
cnf(refute_0_12981,plain,
not(and(or(carry,and(t5,t6)),not(t6))) = not(and(not(t6),or(carry,and(t5,t6)))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(not(t6))),bind(X_32,$fot(or(carry,and(t5,t6))))]]) ).
cnf(refute_0_12982,plain,
( and(not(t6),or(carry,and(t5,t6))) != xor(t6,or(carry,and(t5,t6)))
| not(and(or(carry,and(t5,t6)),not(t6))) != not(and(not(t6),or(carry,and(t5,t6))))
| not(and(or(carry,and(t5,t6)),not(t6))) = not(xor(t6,or(carry,and(t5,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(carry,and(t5,t6)),not(t6))),not(and(not(t6),or(carry,and(t5,t6))))) ),[1,0],$fot(xor(t6,or(carry,and(t5,t6))))]]) ).
cnf(refute_0_12983,plain,
( not(and(or(carry,and(t5,t6)),not(t6))) != not(and(not(t6),or(carry,and(t5,t6))))
| not(and(or(carry,and(t5,t6)),not(t6))) = not(xor(t6,or(carry,and(t5,t6)))) ),
inference(resolve,[$cnf( $equal(and(not(t6),or(carry,and(t5,t6))),xor(t6,or(carry,and(t5,t6)))) )],[refute_0_12874,refute_0_12982]) ).
cnf(refute_0_12984,plain,
not(and(or(carry,and(t5,t6)),not(t6))) = not(xor(t6,or(carry,and(t5,t6)))),
inference(resolve,[$cnf( $equal(not(and(or(carry,and(t5,t6)),not(t6))),not(and(not(t6),or(carry,and(t5,t6))))) )],[refute_0_12981,refute_0_12983]) ).
cnf(refute_0_12985,plain,
not(and(not(t6),or(carry,and(t5,t6)))) = or(t6,not(or(carry,and(t5,t6)))),
inference(subst,[],[refute_0_787:[bind(X,$fot(t6)),bind(X_32,$fot(or(carry,and(t5,t6))))]]) ).
cnf(refute_0_12986,plain,
( not(and(not(t6),or(carry,and(t5,t6)))) != or(t6,not(or(carry,and(t5,t6))))
| not(and(or(carry,and(t5,t6)),not(t6))) != not(and(not(t6),or(carry,and(t5,t6))))
| not(and(or(carry,and(t5,t6)),not(t6))) = or(t6,not(or(carry,and(t5,t6)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(or(carry,and(t5,t6)),not(t6))))),bind(Y0,$fot(not(and(not(t6),or(carry,and(t5,t6)))))),bind(Z0,$fot(or(t6,not(or(carry,and(t5,t6))))))]]) ).
cnf(refute_0_12987,plain,
( not(and(not(t6),or(carry,and(t5,t6)))) != or(t6,not(or(carry,and(t5,t6))))
| not(and(or(carry,and(t5,t6)),not(t6))) = or(t6,not(or(carry,and(t5,t6)))) ),
inference(resolve,[$cnf( $equal(not(and(or(carry,and(t5,t6)),not(t6))),not(and(not(t6),or(carry,and(t5,t6))))) )],[refute_0_12981,refute_0_12986]) ).
cnf(refute_0_12988,plain,
not(and(or(carry,and(t5,t6)),not(t6))) = or(t6,not(or(carry,and(t5,t6)))),
inference(resolve,[$cnf( $equal(not(and(not(t6),or(carry,and(t5,t6)))),or(t6,not(or(carry,and(t5,t6))))) )],[refute_0_12985,refute_0_12987]) ).
cnf(refute_0_12989,plain,
( not(and(or(carry,and(t5,t6)),not(t6))) != not(xor(t6,or(carry,and(t5,t6))))
| not(and(or(carry,and(t5,t6)),not(t6))) != or(t6,not(or(carry,and(t5,t6))))
| or(t6,not(or(carry,and(t5,t6)))) = not(xor(t6,or(carry,and(t5,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(carry,and(t5,t6)),not(t6))),not(xor(t6,or(carry,and(t5,t6))))) ),[0],$fot(or(t6,not(or(carry,and(t5,t6)))))]]) ).
cnf(refute_0_12990,plain,
( not(and(or(carry,and(t5,t6)),not(t6))) != not(xor(t6,or(carry,and(t5,t6))))
| or(t6,not(or(carry,and(t5,t6)))) = not(xor(t6,or(carry,and(t5,t6)))) ),
inference(resolve,[$cnf( $equal(not(and(or(carry,and(t5,t6)),not(t6))),or(t6,not(or(carry,and(t5,t6))))) )],[refute_0_12988,refute_0_12989]) ).
cnf(refute_0_12991,plain,
or(t6,not(or(carry,and(t5,t6)))) = not(xor(t6,or(carry,and(t5,t6)))),
inference(resolve,[$cnf( $equal(not(and(or(carry,and(t5,t6)),not(t6))),not(xor(t6,or(carry,and(t5,t6))))) )],[refute_0_12984,refute_0_12990]) ).
cnf(refute_0_12992,plain,
not(or(carry,and(t5,t6))) = not(or(carry,and(t5,t6))),
introduced(tautology,[refl,[$fot(not(or(carry,and(t5,t6))))]]) ).
cnf(refute_0_12993,plain,
( not(or(carry,and(t5,t6))) != not(or(carry,and(t5,t6)))
| or(carry,and(t5,t6)) != or(carry,t6)
| not(or(carry,and(t5,t6))) = not(or(carry,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,and(t5,t6))),not(or(carry,and(t5,t6)))) ),[1,0],$fot(or(carry,t6))]]) ).
cnf(refute_0_12994,plain,
( or(carry,and(t5,t6)) != or(carry,t6)
| not(or(carry,and(t5,t6))) = not(or(carry,t6)) ),
inference(resolve,[$cnf( $equal(not(or(carry,and(t5,t6))),not(or(carry,and(t5,t6)))) )],[refute_0_12992,refute_0_12993]) ).
cnf(refute_0_12995,plain,
not(or(carry,and(t5,t6))) = not(or(carry,t6)),
inference(resolve,[$cnf( $equal(or(carry,and(t5,t6)),or(carry,t6)) )],[refute_0_12953,refute_0_12994]) ).
cnf(refute_0_12996,plain,
or(t6,not(or(carry,and(t5,t6)))) = or(t6,not(or(carry,and(t5,t6)))),
introduced(tautology,[refl,[$fot(or(t6,not(or(carry,and(t5,t6)))))]]) ).
cnf(refute_0_12997,plain,
( not(or(carry,and(t5,t6))) != not(or(carry,t6))
| or(t6,not(or(carry,and(t5,t6)))) != or(t6,not(or(carry,and(t5,t6))))
| or(t6,not(or(carry,and(t5,t6)))) = or(t6,not(or(carry,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,not(or(carry,and(t5,t6)))),or(t6,not(or(carry,and(t5,t6))))) ),[1,1],$fot(not(or(carry,t6)))]]) ).
cnf(refute_0_12998,plain,
( not(or(carry,and(t5,t6))) != not(or(carry,t6))
| or(t6,not(or(carry,and(t5,t6)))) = or(t6,not(or(carry,t6))) ),
inference(resolve,[$cnf( $equal(or(t6,not(or(carry,and(t5,t6)))),or(t6,not(or(carry,and(t5,t6))))) )],[refute_0_12996,refute_0_12997]) ).
cnf(refute_0_12999,plain,
or(t6,not(or(carry,and(t5,t6)))) = or(t6,not(or(carry,t6))),
inference(resolve,[$cnf( $equal(not(or(carry,and(t5,t6))),not(or(carry,t6))) )],[refute_0_12995,refute_0_12998]) ).
cnf(refute_0_13000,plain,
( or(t6,not(or(carry,and(t5,t6)))) != not(xor(t6,or(carry,and(t5,t6))))
| or(t6,not(or(carry,and(t5,t6)))) != or(t6,not(or(carry,t6)))
| or(t6,not(or(carry,t6))) = not(xor(t6,or(carry,and(t5,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,not(or(carry,and(t5,t6)))),not(xor(t6,or(carry,and(t5,t6))))) ),[0],$fot(or(t6,not(or(carry,t6))))]]) ).
cnf(refute_0_13001,plain,
( or(t6,not(or(carry,and(t5,t6)))) != not(xor(t6,or(carry,and(t5,t6))))
| or(t6,not(or(carry,t6))) = not(xor(t6,or(carry,and(t5,t6)))) ),
inference(resolve,[$cnf( $equal(or(t6,not(or(carry,and(t5,t6)))),or(t6,not(or(carry,t6)))) )],[refute_0_12999,refute_0_13000]) ).
cnf(refute_0_13002,plain,
( not(xor(t6,or(carry,and(t5,t6)))) != not(xor(t6,or(carry,t6)))
| or(t6,not(or(carry,t6))) != not(xor(t6,or(carry,and(t5,t6))))
| or(t6,not(or(carry,t6))) = not(xor(t6,or(carry,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,not(or(carry,t6))),not(xor(t6,or(carry,and(t5,t6))))) ),[1],$fot(not(xor(t6,or(carry,t6))))]]) ).
cnf(refute_0_13003,plain,
( or(t6,not(or(carry,t6))) != not(xor(t6,or(carry,and(t5,t6))))
| or(t6,not(or(carry,t6))) = not(xor(t6,or(carry,t6))) ),
inference(resolve,[$cnf( $equal(not(xor(t6,or(carry,and(t5,t6)))),not(xor(t6,or(carry,t6)))) )],[refute_0_12961,refute_0_13002]) ).
cnf(refute_0_13004,plain,
( or(t6,not(or(carry,and(t5,t6)))) != not(xor(t6,or(carry,and(t5,t6))))
| or(t6,not(or(carry,t6))) = not(xor(t6,or(carry,t6))) ),
inference(resolve,[$cnf( $equal(or(t6,not(or(carry,t6))),not(xor(t6,or(carry,and(t5,t6))))) )],[refute_0_13001,refute_0_13003]) ).
cnf(refute_0_13005,plain,
or(t6,not(or(carry,t6))) = not(xor(t6,or(carry,t6))),
inference(resolve,[$cnf( $equal(or(t6,not(or(carry,and(t5,t6)))),not(xor(t6,or(carry,and(t5,t6))))) )],[refute_0_12991,refute_0_13004]) ).
cnf(refute_0_13006,plain,
or(t6,not(t6)) = ll1,
inference(subst,[],[or_complement:[bind(X,$fot(t6))]]) ).
cnf(refute_0_13007,plain,
or(t6,not(or(carry,t6))) = or(t6,not(or(carry,t6))),
introduced(tautology,[refl,[$fot(or(t6,not(or(carry,t6))))]]) ).
cnf(refute_0_13008,plain,
( not(or(carry,t6)) != not(t6)
| or(t6,not(or(carry,t6))) != or(t6,not(or(carry,t6)))
| or(t6,not(or(carry,t6))) = or(t6,not(t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,not(or(carry,t6))),or(t6,not(or(carry,t6)))) ),[1,1],$fot(not(t6))]]) ).
cnf(refute_0_13009,plain,
( not(or(carry,t6)) != not(t6)
| or(t6,not(or(carry,t6))) = or(t6,not(t6)) ),
inference(resolve,[$cnf( $equal(or(t6,not(or(carry,t6))),or(t6,not(or(carry,t6)))) )],[refute_0_13007,refute_0_13008]) ).
cnf(refute_0_13010,plain,
or(t6,not(or(carry,t6))) = or(t6,not(t6)),
inference(resolve,[$cnf( $equal(not(or(carry,t6)),not(t6)) )],[refute_0_10617,refute_0_13009]) ).
cnf(refute_0_13011,plain,
( or(t6,not(or(carry,t6))) != or(t6,not(t6))
| or(t6,not(t6)) != ll1
| or(t6,not(or(carry,t6))) = ll1 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t6,not(or(carry,t6))))),bind(Y0,$fot(or(t6,not(t6)))),bind(Z0,$fot(ll1))]]) ).
cnf(refute_0_13012,plain,
( or(t6,not(t6)) != ll1
| or(t6,not(or(carry,t6))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t6,not(or(carry,t6))),or(t6,not(t6))) )],[refute_0_13010,refute_0_13011]) ).
cnf(refute_0_13013,plain,
or(t6,not(or(carry,t6))) = ll1,
inference(resolve,[$cnf( $equal(or(t6,not(t6)),ll1) )],[refute_0_13006,refute_0_13012]) ).
cnf(refute_0_13014,plain,
( or(t6,not(or(carry,t6))) != ll1
| or(t6,not(or(carry,t6))) != not(xor(t6,or(carry,t6)))
| ll1 = not(xor(t6,or(carry,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,not(or(carry,t6))),not(xor(t6,or(carry,t6)))) ),[0],$fot(ll1)]]) ).
cnf(refute_0_13015,plain,
( or(t6,not(or(carry,t6))) != not(xor(t6,or(carry,t6)))
| ll1 = not(xor(t6,or(carry,t6))) ),
inference(resolve,[$cnf( $equal(or(t6,not(or(carry,t6))),ll1) )],[refute_0_13013,refute_0_13014]) ).
cnf(refute_0_13016,plain,
ll1 = not(xor(t6,or(carry,t6))),
inference(resolve,[$cnf( $equal(or(t6,not(or(carry,t6))),not(xor(t6,or(carry,t6)))) )],[refute_0_13005,refute_0_13015]) ).
cnf(refute_0_13017,plain,
( ll1 != not(xor(t6,or(carry,t6)))
| not(xor(t6,or(carry,t6))) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(not(xor(t6,or(carry,t6)))))]]) ).
cnf(refute_0_13018,plain,
not(xor(t6,or(carry,t6))) = ll1,
inference(resolve,[$cnf( $equal(ll1,not(xor(t6,or(carry,t6)))) )],[refute_0_13016,refute_0_13017]) ).
cnf(refute_0_13019,plain,
and(t5,not(xor(t6,or(carry,t6)))) = and(t5,not(xor(t6,or(carry,t6)))),
introduced(tautology,[refl,[$fot(and(t5,not(xor(t6,or(carry,t6)))))]]) ).
cnf(refute_0_13020,plain,
( and(t5,not(xor(t6,or(carry,t6)))) != and(t5,not(xor(t6,or(carry,t6))))
| not(xor(t6,or(carry,t6))) != ll1
| and(t5,not(xor(t6,or(carry,t6)))) = and(t5,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,not(xor(t6,or(carry,t6)))),and(t5,not(xor(t6,or(carry,t6))))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_13021,plain,
( not(xor(t6,or(carry,t6))) != ll1
| and(t5,not(xor(t6,or(carry,t6)))) = and(t5,ll1) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t6,or(carry,t6)))),and(t5,not(xor(t6,or(carry,t6))))) )],[refute_0_13019,refute_0_13020]) ).
cnf(refute_0_13022,plain,
and(t5,not(xor(t6,or(carry,t6)))) = and(t5,ll1),
inference(resolve,[$cnf( $equal(not(xor(t6,or(carry,t6))),ll1) )],[refute_0_13018,refute_0_13021]) ).
cnf(refute_0_13023,plain,
( and(t5,ll1) != t5
| and(t5,not(xor(t6,or(carry,t6)))) != and(t5,ll1)
| and(t5,not(xor(t6,or(carry,t6)))) = t5 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t5,not(xor(t6,or(carry,t6)))))),bind(Y0,$fot(and(t5,ll1))),bind(Z0,$fot(t5))]]) ).
cnf(refute_0_13024,plain,
( and(t5,ll1) != t5
| and(t5,not(xor(t6,or(carry,t6)))) = t5 ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t6,or(carry,t6)))),and(t5,ll1)) )],[refute_0_13022,refute_0_13023]) ).
cnf(refute_0_13025,plain,
and(t5,not(xor(t6,or(carry,t6)))) = t5,
inference(resolve,[$cnf( $equal(and(t5,ll1),t5) )],[refute_0_12980,refute_0_13024]) ).
cnf(refute_0_13026,plain,
( and(t5,not(xor(t6,or(carry,t6)))) != t5
| and(t5,not(xor(t6,or(carry,t6)))) != xor(t4,or(carry,t6))
| t5 = xor(t4,or(carry,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,not(xor(t6,or(carry,t6)))),xor(t4,or(carry,t6))) ),[0],$fot(t5)]]) ).
cnf(refute_0_13027,plain,
( and(t5,not(xor(t6,or(carry,t6)))) != xor(t4,or(carry,t6))
| t5 = xor(t4,or(carry,t6)) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t6,or(carry,t6)))),t5) )],[refute_0_13025,refute_0_13026]) ).
cnf(refute_0_13028,plain,
t5 = xor(t4,or(carry,t6)),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t6,or(carry,t6)))),xor(t4,or(carry,t6))) )],[refute_0_12979,refute_0_13027]) ).
cnf(refute_0_13029,plain,
xor(t4,or(carry,t6)) = xor(t4,or(carry,t6)),
introduced(tautology,[refl,[$fot(xor(t4,or(carry,t6)))]]) ).
cnf(refute_0_13030,plain,
( or(carry,t6) != t6
| xor(t4,or(carry,t6)) != xor(t4,or(carry,t6))
| xor(t4,or(carry,t6)) = xor(t4,t6) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,or(carry,t6)),xor(t4,or(carry,t6))) ),[1,1],$fot(t6)]]) ).
cnf(refute_0_13031,plain,
( or(carry,t6) != t6
| xor(t4,or(carry,t6)) = xor(t4,t6) ),
inference(resolve,[$cnf( $equal(xor(t4,or(carry,t6)),xor(t4,or(carry,t6))) )],[refute_0_13029,refute_0_13030]) ).
cnf(refute_0_13032,plain,
xor(t4,or(carry,t6)) = xor(t4,t6),
inference(resolve,[$cnf( $equal(or(carry,t6),t6) )],[refute_0_10664,refute_0_13031]) ).
cnf(refute_0_13033,plain,
( t5 != xor(t4,or(carry,t6))
| xor(t4,or(carry,t6)) != xor(t4,t6)
| t5 = xor(t4,t6) ),
introduced(tautology,[equality,[$cnf( ~ $equal(t5,xor(t4,t6)) ),[0],$fot(xor(t4,or(carry,t6)))]]) ).
cnf(refute_0_13034,plain,
( t5 != xor(t4,or(carry,t6))
| t5 = xor(t4,t6) ),
inference(resolve,[$cnf( $equal(xor(t4,or(carry,t6)),xor(t4,t6)) )],[refute_0_13032,refute_0_13033]) ).
cnf(refute_0_13035,plain,
t5 = xor(t4,t6),
inference(resolve,[$cnf( $equal(t5,xor(t4,or(carry,t6))) )],[refute_0_13028,refute_0_13034]) ).
cnf(refute_0_13036,plain,
( t5 != xor(t4,t6)
| xor(t4,t6) = t5 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(t5)),bind(Y0,$fot(xor(t4,t6)))]]) ).
cnf(refute_0_13037,plain,
xor(t4,t6) = t5,
inference(resolve,[$cnf( $equal(t5,xor(t4,t6)) )],[refute_0_13035,refute_0_13036]) ).
cnf(refute_0_13038,plain,
not(xor(t4,t6)) = not(xor(t4,t6)),
introduced(tautology,[refl,[$fot(not(xor(t4,t6)))]]) ).
cnf(refute_0_13039,plain,
( not(xor(t4,t6)) != not(xor(t4,t6))
| xor(t4,t6) != t5
| not(xor(t4,t6)) = not(t5) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t4,t6)),not(xor(t4,t6))) ),[1,0],$fot(t5)]]) ).
cnf(refute_0_13040,plain,
( xor(t4,t6) != t5
| not(xor(t4,t6)) = not(t5) ),
inference(resolve,[$cnf( $equal(not(xor(t4,t6)),not(xor(t4,t6))) )],[refute_0_13038,refute_0_13039]) ).
cnf(refute_0_13041,plain,
not(xor(t4,t6)) = not(t5),
inference(resolve,[$cnf( $equal(xor(t4,t6),t5) )],[refute_0_13037,refute_0_13040]) ).
cnf(refute_0_13042,plain,
( not(xor(t4,t6)) != and(t4,t6)
| not(xor(t4,t6)) != not(t5)
| not(t5) = and(t4,t6) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t4,t6)),and(t4,t6)) ),[0],$fot(not(t5))]]) ).
cnf(refute_0_13043,plain,
( not(xor(t4,t6)) != and(t4,t6)
| not(t5) = and(t4,t6) ),
inference(resolve,[$cnf( $equal(not(xor(t4,t6)),not(t5)) )],[refute_0_13041,refute_0_13042]) ).
cnf(refute_0_13044,plain,
not(t5) = and(t4,t6),
inference(resolve,[$cnf( $equal(not(xor(t4,t6)),and(t4,t6)) )],[refute_0_12792,refute_0_13043]) ).
cnf(refute_0_13045,plain,
( not(t5) != and(t4,t6)
| and(t4,t6) = not(t5) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t5))),bind(Y0,$fot(and(t4,t6)))]]) ).
cnf(refute_0_13046,plain,
and(t4,t6) = not(t5),
inference(resolve,[$cnf( $equal(not(t5),and(t4,t6)) )],[refute_0_13044,refute_0_13045]) ).
cnf(refute_0_13047,plain,
or(and(t4,t6),Y) = or(and(t4,t6),Y),
introduced(tautology,[refl,[$fot(or(and(t4,t6),Y))]]) ).
cnf(refute_0_13048,plain,
( and(t4,t6) != not(t5)
| or(and(t4,t6),Y) != or(and(t4,t6),Y)
| or(and(t4,t6),Y) = or(not(t5),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,t6),Y),or(and(t4,t6),Y)) ),[1,0],$fot(not(t5))]]) ).
cnf(refute_0_13049,plain,
( and(t4,t6) != not(t5)
| or(and(t4,t6),Y) = or(not(t5),Y) ),
inference(resolve,[$cnf( $equal(or(and(t4,t6),Y),or(and(t4,t6),Y)) )],[refute_0_13047,refute_0_13048]) ).
cnf(refute_0_13050,plain,
or(and(t4,t6),Y) = or(not(t5),Y),
inference(resolve,[$cnf( $equal(and(t4,t6),not(t5)) )],[refute_0_13046,refute_0_13049]) ).
cnf(refute_0_13051,plain,
not(or(and(t4,t6),Y)) = not(or(and(t4,t6),Y)),
introduced(tautology,[refl,[$fot(not(or(and(t4,t6),Y)))]]) ).
cnf(refute_0_13052,plain,
( not(or(and(t4,t6),Y)) != not(or(and(t4,t6),Y))
| or(and(t4,t6),Y) != or(not(t5),Y)
| not(or(and(t4,t6),Y)) = not(or(not(t5),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(and(t4,t6),Y)),not(or(and(t4,t6),Y))) ),[1,0],$fot(or(not(t5),Y))]]) ).
cnf(refute_0_13053,plain,
( or(and(t4,t6),Y) != or(not(t5),Y)
| not(or(and(t4,t6),Y)) = not(or(not(t5),Y)) ),
inference(resolve,[$cnf( $equal(not(or(and(t4,t6),Y)),not(or(and(t4,t6),Y))) )],[refute_0_13051,refute_0_13052]) ).
cnf(refute_0_13054,plain,
not(or(and(t4,t6),Y)) = not(or(not(t5),Y)),
inference(resolve,[$cnf( $equal(or(and(t4,t6),Y),or(not(t5),Y)) )],[refute_0_13050,refute_0_13053]) ).
cnf(refute_0_13055,plain,
( not(or(and(t4,t6),Y)) != not(or(not(t5),Y))
| not(or(not(t5),Y)) != and(t5,not(Y))
| not(or(and(t4,t6),Y)) = and(t5,not(Y)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(and(t4,t6),Y)))),bind(Y0,$fot(not(or(not(t5),Y)))),bind(Z0,$fot(and(t5,not(Y))))]]) ).
cnf(refute_0_13056,plain,
( not(or(not(t5),Y)) != and(t5,not(Y))
| not(or(and(t4,t6),Y)) = and(t5,not(Y)) ),
inference(resolve,[$cnf( $equal(not(or(and(t4,t6),Y)),not(or(not(t5),Y))) )],[refute_0_13054,refute_0_13055]) ).
cnf(refute_0_13057,plain,
not(or(and(t4,t6),Y)) = and(t5,not(Y)),
inference(resolve,[$cnf( $equal(not(or(not(t5),Y)),and(t5,not(Y))) )],[refute_0_12826,refute_0_13056]) ).
cnf(refute_0_13058,plain,
or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))) = or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))),
introduced(tautology,[refl,[$fot(or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))))]]) ).
cnf(refute_0_13059,plain,
( not(or(and(t4,t6),Y)) != and(t5,not(Y))
| or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))) != or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y)))
| or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))) = or(and(t4,and(t6,Y)),and(t5,not(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))),or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y)))) ),[1,1],$fot(and(t5,not(Y)))]]) ).
cnf(refute_0_13060,plain,
( not(or(and(t4,t6),Y)) != and(t5,not(Y))
| or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))) = or(and(t4,and(t6,Y)),and(t5,not(Y))) ),
inference(resolve,[$cnf( $equal(or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))),or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y)))) )],[refute_0_13058,refute_0_13059]) ).
cnf(refute_0_13061,plain,
or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))) = or(and(t4,and(t6,Y)),and(t5,not(Y))),
inference(resolve,[$cnf( $equal(not(or(and(t4,t6),Y)),and(t5,not(Y))) )],[refute_0_13057,refute_0_13060]) ).
cnf(refute_0_13062,plain,
( or(and(t4,and(t6,Y)),and(t5,not(Y))) != or(and(t5,not(Y)),and(t4,and(t6,Y)))
| or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))) != or(and(t4,and(t6,Y)),and(t5,not(Y)))
| or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))) = or(and(t5,not(Y)),and(t4,and(t6,Y))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))))),bind(Y0,$fot(or(and(t4,and(t6,Y)),and(t5,not(Y))))),bind(Z0,$fot(or(and(t5,not(Y)),and(t4,and(t6,Y)))))]]) ).
cnf(refute_0_13063,plain,
( or(and(t4,and(t6,Y)),and(t5,not(Y))) != or(and(t5,not(Y)),and(t4,and(t6,Y)))
| or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))) = or(and(t5,not(Y)),and(t4,and(t6,Y))) ),
inference(resolve,[$cnf( $equal(or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))),or(and(t4,and(t6,Y)),and(t5,not(Y)))) )],[refute_0_13061,refute_0_13062]) ).
cnf(refute_0_13064,plain,
or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))) = or(and(t5,not(Y)),and(t4,and(t6,Y))),
inference(resolve,[$cnf( $equal(or(and(t4,and(t6,Y)),and(t5,not(Y))),or(and(t5,not(Y)),and(t4,and(t6,Y)))) )],[refute_0_12825,refute_0_13063]) ).
cnf(refute_0_13065,plain,
( or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))) != or(and(t5,not(Y)),and(t4,and(t6,Y)))
| or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))) != xor(t4,xor(t6,Y))
| or(and(t5,not(Y)),and(t4,and(t6,Y))) = xor(t4,xor(t6,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))),xor(t4,xor(t6,Y))) ),[0],$fot(or(and(t5,not(Y)),and(t4,and(t6,Y))))]]) ).
cnf(refute_0_13066,plain,
( or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))) != xor(t4,xor(t6,Y))
| or(and(t5,not(Y)),and(t4,and(t6,Y))) = xor(t4,xor(t6,Y)) ),
inference(resolve,[$cnf( $equal(or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))),or(and(t5,not(Y)),and(t4,and(t6,Y)))) )],[refute_0_13064,refute_0_13065]) ).
cnf(refute_0_13067,plain,
or(and(t5,not(Y)),and(t4,and(t6,Y))) = xor(t4,xor(t6,Y)),
inference(resolve,[$cnf( $equal(or(and(t4,and(t6,Y)),not(or(and(t4,t6),Y))),xor(t4,xor(t6,Y))) )],[refute_0_12824,refute_0_13066]) ).
cnf(refute_0_13068,plain,
or(and(t5,not(Y)),and(not(t5),Y)) = xor(t5,Y),
inference(subst,[],[refute_0_9:[bind(X,$fot(t5))]]) ).
cnf(refute_0_13069,plain,
and(and(t4,t6),Z) = and(t4,and(t6,Z)),
inference(subst,[],[and_associative:[bind(X,$fot(t4)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_13070,plain,
( and(and(t4,t6),Z) != and(t4,and(t6,Z))
| and(t4,t6) != not(t5)
| and(not(t5),Z) = and(t4,and(t6,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t4,t6),Z),and(t4,and(t6,Z))) ),[0,0],$fot(not(t5))]]) ).
cnf(refute_0_13071,plain,
( and(and(t4,t6),Z) != and(t4,and(t6,Z))
| and(not(t5),Z) = and(t4,and(t6,Z)) ),
inference(resolve,[$cnf( $equal(and(t4,t6),not(t5)) )],[refute_0_13046,refute_0_13070]) ).
cnf(refute_0_13072,plain,
and(not(t5),Z) = and(t4,and(t6,Z)),
inference(resolve,[$cnf( $equal(and(and(t4,t6),Z),and(t4,and(t6,Z))) )],[refute_0_13069,refute_0_13071]) ).
cnf(refute_0_13073,plain,
( and(not(t5),Z) != and(t4,and(t6,Z))
| and(t4,and(t6,Z)) = and(not(t5),Z) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t5),Z))),bind(Y0,$fot(and(t4,and(t6,Z))))]]) ).
cnf(refute_0_13074,plain,
and(t4,and(t6,Z)) = and(not(t5),Z),
inference(resolve,[$cnf( $equal(and(not(t5),Z),and(t4,and(t6,Z))) )],[refute_0_13072,refute_0_13073]) ).
cnf(refute_0_13075,plain,
and(t4,and(t6,Y)) = and(not(t5),Y),
inference(subst,[],[refute_0_13074:[bind(Z,$fot(Y))]]) ).
cnf(refute_0_13076,plain,
or(and(t5,not(Y)),and(t4,and(t6,Y))) = or(and(t5,not(Y)),and(t4,and(t6,Y))),
introduced(tautology,[refl,[$fot(or(and(t5,not(Y)),and(t4,and(t6,Y))))]]) ).
cnf(refute_0_13077,plain,
( and(t4,and(t6,Y)) != and(not(t5),Y)
| or(and(t5,not(Y)),and(t4,and(t6,Y))) != or(and(t5,not(Y)),and(t4,and(t6,Y)))
| or(and(t5,not(Y)),and(t4,and(t6,Y))) = or(and(t5,not(Y)),and(not(t5),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t5,not(Y)),and(t4,and(t6,Y))),or(and(t5,not(Y)),and(t4,and(t6,Y)))) ),[1,1],$fot(and(not(t5),Y))]]) ).
cnf(refute_0_13078,plain,
( and(t4,and(t6,Y)) != and(not(t5),Y)
| or(and(t5,not(Y)),and(t4,and(t6,Y))) = or(and(t5,not(Y)),and(not(t5),Y)) ),
inference(resolve,[$cnf( $equal(or(and(t5,not(Y)),and(t4,and(t6,Y))),or(and(t5,not(Y)),and(t4,and(t6,Y)))) )],[refute_0_13076,refute_0_13077]) ).
cnf(refute_0_13079,plain,
or(and(t5,not(Y)),and(t4,and(t6,Y))) = or(and(t5,not(Y)),and(not(t5),Y)),
inference(resolve,[$cnf( $equal(and(t4,and(t6,Y)),and(not(t5),Y)) )],[refute_0_13075,refute_0_13078]) ).
cnf(refute_0_13080,plain,
( or(and(t5,not(Y)),and(not(t5),Y)) != xor(t5,Y)
| or(and(t5,not(Y)),and(t4,and(t6,Y))) != or(and(t5,not(Y)),and(not(t5),Y))
| or(and(t5,not(Y)),and(t4,and(t6,Y))) = xor(t5,Y) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(t5,not(Y)),and(t4,and(t6,Y))))),bind(Y0,$fot(or(and(t5,not(Y)),and(not(t5),Y)))),bind(Z0,$fot(xor(t5,Y)))]]) ).
cnf(refute_0_13081,plain,
( or(and(t5,not(Y)),and(not(t5),Y)) != xor(t5,Y)
| or(and(t5,not(Y)),and(t4,and(t6,Y))) = xor(t5,Y) ),
inference(resolve,[$cnf( $equal(or(and(t5,not(Y)),and(t4,and(t6,Y))),or(and(t5,not(Y)),and(not(t5),Y))) )],[refute_0_13079,refute_0_13080]) ).
cnf(refute_0_13082,plain,
or(and(t5,not(Y)),and(t4,and(t6,Y))) = xor(t5,Y),
inference(resolve,[$cnf( $equal(or(and(t5,not(Y)),and(not(t5),Y)),xor(t5,Y)) )],[refute_0_13068,refute_0_13081]) ).
cnf(refute_0_13083,plain,
( or(and(t5,not(Y)),and(t4,and(t6,Y))) != xor(t4,xor(t6,Y))
| or(and(t5,not(Y)),and(t4,and(t6,Y))) != xor(t5,Y)
| xor(t5,Y) = xor(t4,xor(t6,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t5,not(Y)),and(t4,and(t6,Y))),xor(t4,xor(t6,Y))) ),[0],$fot(xor(t5,Y))]]) ).
cnf(refute_0_13084,plain,
( or(and(t5,not(Y)),and(t4,and(t6,Y))) != xor(t4,xor(t6,Y))
| xor(t5,Y) = xor(t4,xor(t6,Y)) ),
inference(resolve,[$cnf( $equal(or(and(t5,not(Y)),and(t4,and(t6,Y))),xor(t5,Y)) )],[refute_0_13082,refute_0_13083]) ).
cnf(refute_0_13085,plain,
xor(t5,Y) = xor(t4,xor(t6,Y)),
inference(resolve,[$cnf( $equal(or(and(t5,not(Y)),and(t4,and(t6,Y))),xor(t4,xor(t6,Y))) )],[refute_0_13067,refute_0_13084]) ).
cnf(refute_0_13086,plain,
( xor(t5,Y) != xor(t4,xor(t6,Y))
| xor(t4,xor(t6,Y)) = xor(t5,Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t5,Y))),bind(Y0,$fot(xor(t4,xor(t6,Y))))]]) ).
cnf(refute_0_13087,plain,
xor(t4,xor(t6,Y)) = xor(t5,Y),
inference(resolve,[$cnf( $equal(xor(t5,Y),xor(t4,xor(t6,Y))) )],[refute_0_13085,refute_0_13086]) ).
cnf(refute_0_13088,plain,
xor(t4,xor(t6,or(a,t7))) = xor(t5,or(a,t7)),
inference(subst,[],[refute_0_13087:[bind(Y,$fot(or(a,t7)))]]) ).
cnf(refute_0_13089,plain,
xor(t4,xor(or(a,t7),t6)) = xor(t4,xor(t6,or(a,t7))),
inference(subst,[],[refute_0_2105:[bind(X_333,$fot(t4)),bind(X_334,$fot(or(a,t7))),bind(X_335,$fot(t6))]]) ).
cnf(refute_0_13090,plain,
( xor(t4,xor(or(a,t7),t6)) != xor(t4,xor(t6,or(a,t7)))
| xor(t4,xor(t6,or(a,t7))) != xor(t5,or(a,t7))
| xor(t4,xor(or(a,t7),t6)) = xor(t5,or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t4,xor(or(a,t7),t6)))),bind(Y0,$fot(xor(t4,xor(t6,or(a,t7))))),bind(Z0,$fot(xor(t5,or(a,t7))))]]) ).
cnf(refute_0_13091,plain,
( xor(t4,xor(t6,or(a,t7))) != xor(t5,or(a,t7))
| xor(t4,xor(or(a,t7),t6)) = xor(t5,or(a,t7)) ),
inference(resolve,[$cnf( $equal(xor(t4,xor(or(a,t7),t6)),xor(t4,xor(t6,or(a,t7)))) )],[refute_0_13089,refute_0_13090]) ).
cnf(refute_0_13092,plain,
xor(t4,xor(or(a,t7),t6)) = xor(t5,or(a,t7)),
inference(resolve,[$cnf( $equal(xor(t4,xor(t6,or(a,t7))),xor(t5,or(a,t7))) )],[refute_0_13088,refute_0_13091]) ).
cnf(refute_0_13093,plain,
xor(t6,xor(t4,or(a,t7))) = xor(t4,xor(or(a,t7),t6)),
inference(subst,[],[refute_0_7460:[bind(X,$fot(t4)),bind(Y,$fot(or(a,t7)))]]) ).
cnf(refute_0_13094,plain,
( xor(t4,xor(or(a,t7),t6)) != xor(t5,or(a,t7))
| xor(t6,xor(t4,or(a,t7))) != xor(t4,xor(or(a,t7),t6))
| xor(t6,xor(t4,or(a,t7))) = xor(t5,or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,xor(t4,or(a,t7))))),bind(Y0,$fot(xor(t4,xor(or(a,t7),t6)))),bind(Z0,$fot(xor(t5,or(a,t7))))]]) ).
cnf(refute_0_13095,plain,
( xor(t4,xor(or(a,t7),t6)) != xor(t5,or(a,t7))
| xor(t6,xor(t4,or(a,t7))) = xor(t5,or(a,t7)) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(t4,or(a,t7))),xor(t4,xor(or(a,t7),t6))) )],[refute_0_13093,refute_0_13094]) ).
cnf(refute_0_13096,plain,
xor(t6,xor(t4,or(a,t7))) = xor(t5,or(a,t7)),
inference(resolve,[$cnf( $equal(xor(t4,xor(or(a,t7),t6)),xor(t5,or(a,t7))) )],[refute_0_13092,refute_0_13095]) ).
cnf(refute_0_13097,plain,
( and(t6,not(xor(t4,or(a,t7)))) != xor(t6,xor(t4,or(a,t7)))
| xor(t6,xor(t4,or(a,t7))) != xor(t5,or(a,t7))
| and(t6,not(xor(t4,or(a,t7)))) = xor(t5,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,not(xor(t4,or(a,t7)))),xor(t5,or(a,t7))) ),[0],$fot(xor(t6,xor(t4,or(a,t7))))]]) ).
cnf(refute_0_13098,plain,
( and(t6,not(xor(t4,or(a,t7)))) != xor(t6,xor(t4,or(a,t7)))
| and(t6,not(xor(t4,or(a,t7)))) = xor(t5,or(a,t7)) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(t4,or(a,t7))),xor(t5,or(a,t7))) )],[refute_0_13096,refute_0_13097]) ).
cnf(refute_0_13099,plain,
( or(and(t6,not(xor(t4,or(a,t7)))),ll0) != xor(t6,xor(t4,or(a,t7)))
| and(t6,not(xor(t4,or(a,t7)))) = xor(t5,or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(t4,or(a,t7)))),xor(t6,xor(t4,or(a,t7)))) )],[refute_0_12756,refute_0_13098]) ).
cnf(refute_0_13100,plain,
and(t6,not(xor(t4,or(a,t7)))) = xor(t5,or(a,t7)),
inference(resolve,[$cnf( $equal(or(and(t6,not(xor(t4,or(a,t7)))),ll0),xor(t6,xor(t4,or(a,t7)))) )],[refute_0_12753,refute_0_13099]) ).
cnf(refute_0_13101,plain,
and(or(t4,and(sum,t1)),or(sum,or(t4,and(sum,t1)))) = or(t4,and(sum,t1)),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(or(t4,and(sum,t1)))),bind(X_20,$fot(sum))]]) ).
cnf(refute_0_13102,plain,
or(or(sum,t4),and(not(carry),or(sum,t4))) = or(sum,t4),
inference(subst,[],[refute_0_222:[bind(X_13,$fot(or(sum,t4))),bind(X_14,$fot(not(carry)))]]) ).
cnf(refute_0_13103,plain,
and(not(carry),or(sum,t4)) = and(t1,and(t5,or(sum,t4))),
inference(subst,[],[refute_0_178:[bind(X_222,$fot(or(sum,t4)))]]) ).
cnf(refute_0_13104,plain,
( and(t5,not(xor(t4,t7))) != xor(t5,xor(t4,t7))
| xor(t5,xor(t4,t7)) != xor(t6,t7)
| and(t5,not(xor(t4,t7))) = xor(t6,t7) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t5,not(xor(t4,t7))),xor(t6,t7)) ),[0],$fot(xor(t5,xor(t4,t7)))]]) ).
cnf(refute_0_13105,plain,
( and(t5,not(xor(t4,t7))) != xor(t5,xor(t4,t7))
| and(t5,not(xor(t4,t7))) = xor(t6,t7) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(t4,t7)),xor(t6,t7)) )],[refute_0_1018,refute_0_13104]) ).
cnf(refute_0_13106,plain,
and(t5,not(xor(t4,t7))) = xor(t6,t7),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t4,t7))),xor(t5,xor(t4,t7))) )],[refute_0_937,refute_0_13105]) ).
cnf(refute_0_13107,plain,
( and(t5,not(xor(t4,t7))) != xor(t6,t7)
| xor(t6,t7) != sum
| and(t5,not(xor(t4,t7))) = sum ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t5,not(xor(t4,t7))),sum) ),[0],$fot(xor(t6,t7))]]) ).
cnf(refute_0_13108,plain,
( and(t5,not(xor(t4,t7))) != xor(t6,t7)
| and(t5,not(xor(t4,t7))) = sum ),
inference(resolve,[$cnf( $equal(xor(t6,t7),sum) )],[refute_0_1154,refute_0_13107]) ).
cnf(refute_0_13109,plain,
and(t5,not(xor(t4,t7))) = sum,
inference(resolve,[$cnf( $equal(and(t5,not(xor(t4,t7))),xor(t6,t7)) )],[refute_0_13106,refute_0_13108]) ).
cnf(refute_0_13110,plain,
and(t5,not(xor(t4,t7))) = and(t5,not(xor(t4,t7))),
introduced(tautology,[refl,[$fot(and(t5,not(xor(t4,t7))))]]) ).
cnf(refute_0_13111,plain,
( and(t5,not(xor(t4,t7))) != and(t5,not(xor(t4,t7)))
| not(xor(t4,t7)) != or(sum,t4)
| and(t5,not(xor(t4,t7))) = and(t5,or(sum,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,not(xor(t4,t7))),and(t5,not(xor(t4,t7)))) ),[1,1],$fot(or(sum,t4))]]) ).
cnf(refute_0_13112,plain,
( not(xor(t4,t7)) != or(sum,t4)
| and(t5,not(xor(t4,t7))) = and(t5,or(sum,t4)) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t4,t7))),and(t5,not(xor(t4,t7)))) )],[refute_0_13110,refute_0_13111]) ).
cnf(refute_0_13113,plain,
and(t5,not(xor(t4,t7))) = and(t5,or(sum,t4)),
inference(resolve,[$cnf( $equal(not(xor(t4,t7)),or(sum,t4)) )],[refute_0_1173,refute_0_13112]) ).
cnf(refute_0_13114,plain,
( and(t5,not(xor(t4,t7))) != and(t5,or(sum,t4))
| and(t5,not(xor(t4,t7))) != sum
| and(t5,or(sum,t4)) = sum ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,not(xor(t4,t7))),sum) ),[0],$fot(and(t5,or(sum,t4)))]]) ).
cnf(refute_0_13115,plain,
( and(t5,not(xor(t4,t7))) != sum
| and(t5,or(sum,t4)) = sum ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t4,t7))),and(t5,or(sum,t4))) )],[refute_0_13113,refute_0_13114]) ).
cnf(refute_0_13116,plain,
and(t5,or(sum,t4)) = sum,
inference(resolve,[$cnf( $equal(and(t5,not(xor(t4,t7))),sum) )],[refute_0_13109,refute_0_13115]) ).
cnf(refute_0_13117,plain,
( and(not(carry),or(sum,t4)) != and(t1,and(t5,or(sum,t4)))
| and(t5,or(sum,t4)) != sum
| and(not(carry),or(sum,t4)) = and(t1,sum) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),or(sum,t4)),and(t1,and(t5,or(sum,t4)))) ),[1,1],$fot(sum)]]) ).
cnf(refute_0_13118,plain,
( and(not(carry),or(sum,t4)) != and(t1,and(t5,or(sum,t4)))
| and(not(carry),or(sum,t4)) = and(t1,sum) ),
inference(resolve,[$cnf( $equal(and(t5,or(sum,t4)),sum) )],[refute_0_13116,refute_0_13117]) ).
cnf(refute_0_13119,plain,
and(not(carry),or(sum,t4)) = and(t1,sum),
inference(resolve,[$cnf( $equal(and(not(carry),or(sum,t4)),and(t1,and(t5,or(sum,t4)))) )],[refute_0_13103,refute_0_13118]) ).
cnf(refute_0_13120,plain,
( and(not(carry),or(sum,t4)) != and(t1,sum)
| and(t1,sum) != and(sum,t1)
| and(not(carry),or(sum,t4)) = and(sum,t1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(carry),or(sum,t4)),and(sum,t1)) ),[0],$fot(and(t1,sum))]]) ).
cnf(refute_0_13121,plain,
( and(not(carry),or(sum,t4)) != and(t1,sum)
| and(not(carry),or(sum,t4)) = and(sum,t1) ),
inference(resolve,[$cnf( $equal(and(t1,sum),and(sum,t1)) )],[refute_0_7959,refute_0_13120]) ).
cnf(refute_0_13122,plain,
and(not(carry),or(sum,t4)) = and(sum,t1),
inference(resolve,[$cnf( $equal(and(not(carry),or(sum,t4)),and(t1,sum)) )],[refute_0_13119,refute_0_13121]) ).
cnf(refute_0_13123,plain,
( and(not(carry),or(sum,t4)) != and(sum,t1)
| or(or(sum,t4),and(not(carry),or(sum,t4))) != or(sum,t4)
| or(or(sum,t4),and(sum,t1)) = or(sum,t4) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(sum,t4),and(not(carry),or(sum,t4))),or(sum,t4)) ),[0,1],$fot(and(sum,t1))]]) ).
cnf(refute_0_13124,plain,
( or(or(sum,t4),and(not(carry),or(sum,t4))) != or(sum,t4)
| or(or(sum,t4),and(sum,t1)) = or(sum,t4) ),
inference(resolve,[$cnf( $equal(and(not(carry),or(sum,t4)),and(sum,t1)) )],[refute_0_13122,refute_0_13123]) ).
cnf(refute_0_13125,plain,
or(or(sum,t4),and(sum,t1)) = or(sum,t4),
inference(resolve,[$cnf( $equal(or(or(sum,t4),and(not(carry),or(sum,t4))),or(sum,t4)) )],[refute_0_13102,refute_0_13124]) ).
cnf(refute_0_13126,plain,
or(or(sum,t4),and(sum,t1)) = or(sum,or(t4,and(sum,t1))),
inference(subst,[],[or_associative:[bind(X,$fot(sum)),bind(Y,$fot(t4)),bind(Z,$fot(and(sum,t1)))]]) ).
cnf(refute_0_13127,plain,
( or(or(sum,t4),and(sum,t1)) != or(sum,or(t4,and(sum,t1)))
| or(or(sum,t4),and(sum,t1)) != or(sum,t4)
| or(sum,or(t4,and(sum,t1))) = or(sum,t4) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(sum,t4),and(sum,t1)),or(sum,t4)) ),[0],$fot(or(sum,or(t4,and(sum,t1))))]]) ).
cnf(refute_0_13128,plain,
( or(or(sum,t4),and(sum,t1)) != or(sum,t4)
| or(sum,or(t4,and(sum,t1))) = or(sum,t4) ),
inference(resolve,[$cnf( $equal(or(or(sum,t4),and(sum,t1)),or(sum,or(t4,and(sum,t1)))) )],[refute_0_13126,refute_0_13127]) ).
cnf(refute_0_13129,plain,
or(sum,or(t4,and(sum,t1))) = or(sum,t4),
inference(resolve,[$cnf( $equal(or(or(sum,t4),and(sum,t1)),or(sum,t4)) )],[refute_0_13125,refute_0_13128]) ).
cnf(refute_0_13130,plain,
( and(or(t4,and(sum,t1)),or(sum,or(t4,and(sum,t1)))) != or(t4,and(sum,t1))
| or(sum,or(t4,and(sum,t1))) != or(sum,t4)
| and(or(t4,and(sum,t1)),or(sum,t4)) = or(t4,and(sum,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(t4,and(sum,t1)),or(sum,or(t4,and(sum,t1)))),or(t4,and(sum,t1))) ),[0,1],$fot(or(sum,t4))]]) ).
cnf(refute_0_13131,plain,
( and(or(t4,and(sum,t1)),or(sum,or(t4,and(sum,t1)))) != or(t4,and(sum,t1))
| and(or(t4,and(sum,t1)),or(sum,t4)) = or(t4,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(or(sum,or(t4,and(sum,t1))),or(sum,t4)) )],[refute_0_13129,refute_0_13130]) ).
cnf(refute_0_13132,plain,
and(or(t4,and(sum,t1)),or(sum,t4)) = or(t4,and(sum,t1)),
inference(resolve,[$cnf( $equal(and(or(t4,and(sum,t1)),or(sum,or(t4,and(sum,t1)))),or(t4,and(sum,t1))) )],[refute_0_13101,refute_0_13131]) ).
cnf(refute_0_13133,plain,
and(or(t4,and(sum,t1)),or(sum,t4)) = and(or(sum,t4),or(t4,and(sum,t1))),
inference(subst,[],[refute_0_116:[bind(X,$fot(or(sum,t4))),bind(Y,$fot(or(t4,and(sum,t1))))]]) ).
cnf(refute_0_13134,plain,
( and(or(t4,and(sum,t1)),or(sum,t4)) != and(or(sum,t4),or(t4,and(sum,t1)))
| and(or(t4,and(sum,t1)),or(sum,t4)) != or(t4,and(sum,t1))
| and(or(sum,t4),or(t4,and(sum,t1))) = or(t4,and(sum,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(t4,and(sum,t1)),or(sum,t4)),or(t4,and(sum,t1))) ),[0],$fot(and(or(sum,t4),or(t4,and(sum,t1))))]]) ).
cnf(refute_0_13135,plain,
( and(or(t4,and(sum,t1)),or(sum,t4)) != or(t4,and(sum,t1))
| and(or(sum,t4),or(t4,and(sum,t1))) = or(t4,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(and(or(t4,and(sum,t1)),or(sum,t4)),and(or(sum,t4),or(t4,and(sum,t1)))) )],[refute_0_13133,refute_0_13134]) ).
cnf(refute_0_13136,plain,
and(or(sum,t4),or(t4,and(sum,t1))) = or(t4,and(sum,t1)),
inference(resolve,[$cnf( $equal(and(or(t4,and(sum,t1)),or(sum,t4)),or(t4,and(sum,t1))) )],[refute_0_13132,refute_0_13135]) ).
cnf(refute_0_13137,plain,
and(or(sum,t4),or(t4,and(sum,t1))) = and(or(sum,t4),or(t4,and(sum,t1))),
introduced(tautology,[refl,[$fot(and(or(sum,t4),or(t4,and(sum,t1))))]]) ).
cnf(refute_0_13138,plain,
( and(or(sum,t4),or(t4,and(sum,t1))) != and(or(sum,t4),or(t4,and(sum,t1)))
| or(sum,t4) != or(cin,sum)
| and(or(sum,t4),or(t4,and(sum,t1))) = and(or(cin,sum),or(t4,and(sum,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(sum,t4),or(t4,and(sum,t1))),and(or(sum,t4),or(t4,and(sum,t1)))) ),[1,0],$fot(or(cin,sum))]]) ).
cnf(refute_0_13139,plain,
( or(sum,t4) != or(cin,sum)
| and(or(sum,t4),or(t4,and(sum,t1))) = and(or(cin,sum),or(t4,and(sum,t1))) ),
inference(resolve,[$cnf( $equal(and(or(sum,t4),or(t4,and(sum,t1))),and(or(sum,t4),or(t4,and(sum,t1)))) )],[refute_0_13137,refute_0_13138]) ).
cnf(refute_0_13140,plain,
and(or(sum,t4),or(t4,and(sum,t1))) = and(or(cin,sum),or(t4,and(sum,t1))),
inference(resolve,[$cnf( $equal(or(sum,t4),or(cin,sum)) )],[refute_0_2534,refute_0_13139]) ).
cnf(refute_0_13141,plain,
( and(or(sum,t4),or(t4,and(sum,t1))) != and(or(cin,sum),or(t4,and(sum,t1)))
| and(or(sum,t4),or(t4,and(sum,t1))) != or(t4,and(sum,t1))
| and(or(cin,sum),or(t4,and(sum,t1))) = or(t4,and(sum,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(sum,t4),or(t4,and(sum,t1))),or(t4,and(sum,t1))) ),[0],$fot(and(or(cin,sum),or(t4,and(sum,t1))))]]) ).
cnf(refute_0_13142,plain,
( and(or(sum,t4),or(t4,and(sum,t1))) != or(t4,and(sum,t1))
| and(or(cin,sum),or(t4,and(sum,t1))) = or(t4,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(and(or(sum,t4),or(t4,and(sum,t1))),and(or(cin,sum),or(t4,and(sum,t1)))) )],[refute_0_13140,refute_0_13141]) ).
cnf(refute_0_13143,plain,
and(or(cin,sum),or(t4,and(sum,t1))) = or(t4,and(sum,t1)),
inference(resolve,[$cnf( $equal(and(or(sum,t4),or(t4,and(sum,t1))),or(t4,and(sum,t1))) )],[refute_0_13136,refute_0_13142]) ).
cnf(refute_0_13144,plain,
not(and(or(a,t7),not(t4))) = not(and(not(t4),or(a,t7))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(not(t4))),bind(X_32,$fot(or(a,t7)))]]) ).
cnf(refute_0_13145,plain,
( and(not(t4),or(a,t7)) != xor(t4,or(a,t7))
| not(and(or(a,t7),not(t4))) != not(and(not(t4),or(a,t7)))
| not(and(or(a,t7),not(t4))) = not(xor(t4,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(a,t7),not(t4))),not(and(not(t4),or(a,t7)))) ),[1,0],$fot(xor(t4,or(a,t7)))]]) ).
cnf(refute_0_13146,plain,
( not(and(or(a,t7),not(t4))) != not(and(not(t4),or(a,t7)))
| not(and(or(a,t7),not(t4))) = not(xor(t4,or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(not(t4),or(a,t7)),xor(t4,or(a,t7))) )],[refute_0_12730,refute_0_13145]) ).
cnf(refute_0_13147,plain,
not(and(or(a,t7),not(t4))) = not(xor(t4,or(a,t7))),
inference(resolve,[$cnf( $equal(not(and(or(a,t7),not(t4))),not(and(not(t4),or(a,t7)))) )],[refute_0_13144,refute_0_13146]) ).
cnf(refute_0_13148,plain,
not(and(not(t4),or(a,t7))) = or(t4,not(or(a,t7))),
inference(subst,[],[refute_0_787:[bind(X,$fot(t4)),bind(X_32,$fot(or(a,t7)))]]) ).
cnf(refute_0_13149,plain,
( not(and(not(t4),or(a,t7))) != or(t4,not(or(a,t7)))
| not(and(or(a,t7),not(t4))) != not(and(not(t4),or(a,t7)))
| not(and(or(a,t7),not(t4))) = or(t4,not(or(a,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(or(a,t7),not(t4))))),bind(Y0,$fot(not(and(not(t4),or(a,t7))))),bind(Z0,$fot(or(t4,not(or(a,t7)))))]]) ).
cnf(refute_0_13150,plain,
( not(and(not(t4),or(a,t7))) != or(t4,not(or(a,t7)))
| not(and(or(a,t7),not(t4))) = or(t4,not(or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(and(or(a,t7),not(t4))),not(and(not(t4),or(a,t7)))) )],[refute_0_13144,refute_0_13149]) ).
cnf(refute_0_13151,plain,
not(and(or(a,t7),not(t4))) = or(t4,not(or(a,t7))),
inference(resolve,[$cnf( $equal(not(and(not(t4),or(a,t7))),or(t4,not(or(a,t7)))) )],[refute_0_13148,refute_0_13150]) ).
cnf(refute_0_13152,plain,
( not(and(or(a,t7),not(t4))) != not(xor(t4,or(a,t7)))
| not(and(or(a,t7),not(t4))) != or(t4,not(or(a,t7)))
| or(t4,not(or(a,t7))) = not(xor(t4,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(a,t7),not(t4))),not(xor(t4,or(a,t7)))) ),[0],$fot(or(t4,not(or(a,t7))))]]) ).
cnf(refute_0_13153,plain,
( not(and(or(a,t7),not(t4))) != not(xor(t4,or(a,t7)))
| or(t4,not(or(a,t7))) = not(xor(t4,or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(and(or(a,t7),not(t4))),or(t4,not(or(a,t7)))) )],[refute_0_13151,refute_0_13152]) ).
cnf(refute_0_13154,plain,
or(t4,not(or(a,t7))) = not(xor(t4,or(a,t7))),
inference(resolve,[$cnf( $equal(not(and(or(a,t7),not(t4))),not(xor(t4,or(a,t7)))) )],[refute_0_13147,refute_0_13153]) ).
cnf(refute_0_13155,plain,
( and(cin,and(sum,not(t4))) != and(cin,not(t4))
| and(cin,not(t4)) != not(t7)
| and(cin,and(sum,not(t4))) = not(t7) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(cin,and(sum,not(t4))),not(t7)) ),[0],$fot(and(cin,not(t4)))]]) ).
cnf(refute_0_13156,plain,
( and(cin,and(sum,not(t4))) != and(cin,not(t4))
| and(cin,and(sum,not(t4))) = not(t7) ),
inference(resolve,[$cnf( $equal(and(cin,not(t4)),not(t7)) )],[refute_0_5566,refute_0_13155]) ).
cnf(refute_0_13157,plain,
and(cin,and(sum,not(t4))) = not(t7),
inference(resolve,[$cnf( $equal(and(cin,and(sum,not(t4))),and(cin,not(t4))) )],[refute_0_8206,refute_0_13156]) ).
cnf(refute_0_13158,plain,
( and(and(X,cin),and(sum,not(t4))) != and(X,and(cin,and(sum,not(t4))))
| and(cin,and(sum,not(t4))) != not(t7)
| and(and(X,cin),and(sum,not(t4))) = and(X,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X,cin),and(sum,not(t4))),and(X,and(cin,and(sum,not(t4))))) ),[1,1],$fot(not(t7))]]) ).
cnf(refute_0_13159,plain,
( and(and(X,cin),and(sum,not(t4))) != and(X,and(cin,and(sum,not(t4))))
| and(and(X,cin),and(sum,not(t4))) = and(X,not(t7)) ),
inference(resolve,[$cnf( $equal(and(cin,and(sum,not(t4))),not(t7)) )],[refute_0_13157,refute_0_13158]) ).
cnf(refute_0_13160,plain,
and(and(X,cin),and(sum,not(t4))) = and(X,not(t7)),
inference(resolve,[$cnf( $equal(and(and(X,cin),and(sum,not(t4))),and(X,and(cin,and(sum,not(t4))))) )],[refute_0_8146,refute_0_13159]) ).
cnf(refute_0_13161,plain,
and(and(cin,and(sum,not(t4))),Z) = and(cin,and(and(sum,not(t4)),Z)),
inference(subst,[],[and_associative:[bind(X,$fot(cin)),bind(Y,$fot(and(sum,not(t4))))]]) ).
cnf(refute_0_13162,plain,
( and(and(cin,and(sum,not(t4))),Z) != and(cin,and(and(sum,not(t4)),Z))
| and(cin,and(sum,not(t4))) != and(cin,not(t4))
| and(and(cin,not(t4)),Z) = and(cin,and(and(sum,not(t4)),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(cin,and(sum,not(t4))),Z),and(cin,and(and(sum,not(t4)),Z))) ),[0,0],$fot(and(cin,not(t4)))]]) ).
cnf(refute_0_13163,plain,
( and(and(cin,and(sum,not(t4))),Z) != and(cin,and(and(sum,not(t4)),Z))
| and(and(cin,not(t4)),Z) = and(cin,and(and(sum,not(t4)),Z)) ),
inference(resolve,[$cnf( $equal(and(cin,and(sum,not(t4))),and(cin,not(t4))) )],[refute_0_8206,refute_0_13162]) ).
cnf(refute_0_13164,plain,
and(and(cin,not(t4)),Z) = and(cin,and(and(sum,not(t4)),Z)),
inference(resolve,[$cnf( $equal(and(and(cin,and(sum,not(t4))),Z),and(cin,and(and(sum,not(t4)),Z))) )],[refute_0_13161,refute_0_13163]) ).
cnf(refute_0_13165,plain,
and(and(cin,not(t4)),Z) = and(cin,and(not(t4),Z)),
inference(subst,[],[and_associative:[bind(X,$fot(cin)),bind(Y,$fot(not(t4)))]]) ).
cnf(refute_0_13166,plain,
( and(and(cin,not(t4)),Z) != and(cin,and(and(sum,not(t4)),Z))
| and(and(cin,not(t4)),Z) != and(cin,and(not(t4),Z))
| and(cin,and(not(t4),Z)) = and(cin,and(and(sum,not(t4)),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(cin,not(t4)),Z),and(cin,and(and(sum,not(t4)),Z))) ),[0],$fot(and(cin,and(not(t4),Z)))]]) ).
cnf(refute_0_13167,plain,
( and(and(cin,not(t4)),Z) != and(cin,and(and(sum,not(t4)),Z))
| and(cin,and(not(t4),Z)) = and(cin,and(and(sum,not(t4)),Z)) ),
inference(resolve,[$cnf( $equal(and(and(cin,not(t4)),Z),and(cin,and(not(t4),Z))) )],[refute_0_13165,refute_0_13166]) ).
cnf(refute_0_13168,plain,
and(cin,and(sum,and(not(t4),Z))) = and(Z,and(cin,not(t4))),
inference(subst,[],[refute_0_8229:[bind(X,$fot(Z))]]) ).
cnf(refute_0_13169,plain,
and(and(sum,not(t4)),Z) = and(sum,and(not(t4),Z)),
inference(subst,[],[and_associative:[bind(X,$fot(sum)),bind(Y,$fot(not(t4)))]]) ).
cnf(refute_0_13170,plain,
and(cin,and(and(sum,not(t4)),Z)) = and(cin,and(and(sum,not(t4)),Z)),
introduced(tautology,[refl,[$fot(and(cin,and(and(sum,not(t4)),Z)))]]) ).
cnf(refute_0_13171,plain,
( and(and(sum,not(t4)),Z) != and(sum,and(not(t4),Z))
| and(cin,and(and(sum,not(t4)),Z)) != and(cin,and(and(sum,not(t4)),Z))
| and(cin,and(and(sum,not(t4)),Z)) = and(cin,and(sum,and(not(t4),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,and(and(sum,not(t4)),Z)),and(cin,and(and(sum,not(t4)),Z))) ),[1,1],$fot(and(sum,and(not(t4),Z)))]]) ).
cnf(refute_0_13172,plain,
( and(and(sum,not(t4)),Z) != and(sum,and(not(t4),Z))
| and(cin,and(and(sum,not(t4)),Z)) = and(cin,and(sum,and(not(t4),Z))) ),
inference(resolve,[$cnf( $equal(and(cin,and(and(sum,not(t4)),Z)),and(cin,and(and(sum,not(t4)),Z))) )],[refute_0_13170,refute_0_13171]) ).
cnf(refute_0_13173,plain,
and(cin,and(and(sum,not(t4)),Z)) = and(cin,and(sum,and(not(t4),Z))),
inference(resolve,[$cnf( $equal(and(and(sum,not(t4)),Z),and(sum,and(not(t4),Z))) )],[refute_0_13169,refute_0_13172]) ).
cnf(refute_0_13174,plain,
( and(cin,and(and(sum,not(t4)),Z)) != and(cin,and(sum,and(not(t4),Z)))
| and(cin,and(sum,and(not(t4),Z))) != and(Z,and(cin,not(t4)))
| and(cin,and(and(sum,not(t4)),Z)) = and(Z,and(cin,not(t4))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(cin,and(and(sum,not(t4)),Z)))),bind(Y0,$fot(and(cin,and(sum,and(not(t4),Z))))),bind(Z0,$fot(and(Z,and(cin,not(t4)))))]]) ).
cnf(refute_0_13175,plain,
( and(cin,and(sum,and(not(t4),Z))) != and(Z,and(cin,not(t4)))
| and(cin,and(and(sum,not(t4)),Z)) = and(Z,and(cin,not(t4))) ),
inference(resolve,[$cnf( $equal(and(cin,and(and(sum,not(t4)),Z)),and(cin,and(sum,and(not(t4),Z)))) )],[refute_0_13173,refute_0_13174]) ).
cnf(refute_0_13176,plain,
and(cin,and(and(sum,not(t4)),Z)) = and(Z,and(cin,not(t4))),
inference(resolve,[$cnf( $equal(and(cin,and(sum,and(not(t4),Z))),and(Z,and(cin,not(t4)))) )],[refute_0_13168,refute_0_13175]) ).
cnf(refute_0_13177,plain,
( and(cin,and(and(sum,not(t4)),Z)) != and(Z,and(cin,not(t4)))
| and(cin,and(not(t4),Z)) != and(cin,and(and(sum,not(t4)),Z))
| and(cin,and(not(t4),Z)) = and(Z,and(cin,not(t4))) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,and(not(t4),Z)),and(cin,and(and(sum,not(t4)),Z))) ),[1],$fot(and(Z,and(cin,not(t4))))]]) ).
cnf(refute_0_13178,plain,
( and(cin,and(not(t4),Z)) != and(cin,and(and(sum,not(t4)),Z))
| and(cin,and(not(t4),Z)) = and(Z,and(cin,not(t4))) ),
inference(resolve,[$cnf( $equal(and(cin,and(and(sum,not(t4)),Z)),and(Z,and(cin,not(t4)))) )],[refute_0_13176,refute_0_13177]) ).
cnf(refute_0_13179,plain,
( and(and(cin,not(t4)),Z) != and(cin,and(and(sum,not(t4)),Z))
| and(cin,and(not(t4),Z)) = and(Z,and(cin,not(t4))) ),
inference(resolve,[$cnf( $equal(and(cin,and(not(t4),Z)),and(cin,and(and(sum,not(t4)),Z))) )],[refute_0_13167,refute_0_13178]) ).
cnf(refute_0_13180,plain,
and(cin,and(not(t4),Z)) = and(Z,and(cin,not(t4))),
inference(resolve,[$cnf( $equal(and(and(cin,not(t4)),Z),and(cin,and(and(sum,not(t4)),Z))) )],[refute_0_13164,refute_0_13179]) ).
cnf(refute_0_13181,plain,
and(Z,and(cin,not(t4))) = and(Z,and(cin,not(t4))),
introduced(tautology,[refl,[$fot(and(Z,and(cin,not(t4))))]]) ).
cnf(refute_0_13182,plain,
( and(Z,and(cin,not(t4))) != and(Z,and(cin,not(t4)))
| and(cin,not(t4)) != not(t7)
| and(Z,and(cin,not(t4))) = and(Z,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(Z,and(cin,not(t4))),and(Z,and(cin,not(t4)))) ),[1,1],$fot(not(t7))]]) ).
cnf(refute_0_13183,plain,
( and(cin,not(t4)) != not(t7)
| and(Z,and(cin,not(t4))) = and(Z,not(t7)) ),
inference(resolve,[$cnf( $equal(and(Z,and(cin,not(t4))),and(Z,and(cin,not(t4)))) )],[refute_0_13181,refute_0_13182]) ).
cnf(refute_0_13184,plain,
and(Z,and(cin,not(t4))) = and(Z,not(t7)),
inference(resolve,[$cnf( $equal(and(cin,not(t4)),not(t7)) )],[refute_0_5566,refute_0_13183]) ).
cnf(refute_0_13185,plain,
( and(Z,and(cin,not(t4))) != and(Z,not(t7))
| and(cin,and(not(t4),Z)) != and(Z,and(cin,not(t4)))
| and(cin,and(not(t4),Z)) = and(Z,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,and(not(t4),Z)),and(Z,and(cin,not(t4)))) ),[1],$fot(and(Z,not(t7)))]]) ).
cnf(refute_0_13186,plain,
( and(cin,and(not(t4),Z)) != and(Z,and(cin,not(t4)))
| and(cin,and(not(t4),Z)) = and(Z,not(t7)) ),
inference(resolve,[$cnf( $equal(and(Z,and(cin,not(t4))),and(Z,not(t7))) )],[refute_0_13184,refute_0_13185]) ).
cnf(refute_0_13187,plain,
and(cin,and(not(t4),Z)) = and(Z,not(t7)),
inference(resolve,[$cnf( $equal(and(cin,and(not(t4),Z)),and(Z,and(cin,not(t4)))) )],[refute_0_13180,refute_0_13186]) ).
cnf(refute_0_13188,plain,
and(cin,and(not(t4),X)) = and(X,not(t7)),
inference(subst,[],[refute_0_13187:[bind(Z,$fot(X))]]) ).
cnf(refute_0_13189,plain,
( and(cin,and(not(t4),X)) != and(X,not(t7))
| and(not(t4),and(X,cin)) != and(cin,and(not(t4),X))
| and(not(t4),and(X,cin)) = and(X,not(t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t4),and(X,cin)))),bind(Y0,$fot(and(cin,and(not(t4),X)))),bind(Z0,$fot(and(X,not(t7))))]]) ).
cnf(refute_0_13190,plain,
( and(cin,and(not(t4),X)) != and(X,not(t7))
| and(not(t4),and(X,cin)) = and(X,not(t7)) ),
inference(resolve,[$cnf( $equal(and(not(t4),and(X,cin)),and(cin,and(not(t4),X))) )],[refute_0_8211,refute_0_13189]) ).
cnf(refute_0_13191,plain,
and(not(t4),and(X,cin)) = and(X,not(t7)),
inference(resolve,[$cnf( $equal(and(cin,and(not(t4),X)),and(X,not(t7))) )],[refute_0_13188,refute_0_13190]) ).
cnf(refute_0_13192,plain,
( and(not(t4),and(X,cin)) != and(X,not(t7))
| and(sum,and(not(t4),and(X,cin))) != and(sum,and(not(t4),and(X,cin)))
| and(sum,and(not(t4),and(X,cin))) = and(sum,and(X,not(t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(sum,and(not(t4),and(X,cin))),and(sum,and(not(t4),and(X,cin)))) ),[1,1],$fot(and(X,not(t7)))]]) ).
cnf(refute_0_13193,plain,
( and(not(t4),and(X,cin)) != and(X,not(t7))
| and(sum,and(not(t4),and(X,cin))) = and(sum,and(X,not(t7))) ),
inference(resolve,[$cnf( $equal(and(sum,and(not(t4),and(X,cin))),and(sum,and(not(t4),and(X,cin)))) )],[refute_0_8212,refute_0_13192]) ).
cnf(refute_0_13194,plain,
and(sum,and(not(t4),and(X,cin))) = and(sum,and(X,not(t7))),
inference(resolve,[$cnf( $equal(and(not(t4),and(X,cin)),and(X,not(t7))) )],[refute_0_13191,refute_0_13193]) ).
cnf(refute_0_13195,plain,
( and(and(X,cin),and(sum,not(t4))) != and(sum,and(not(t4),and(X,cin)))
| and(sum,and(not(t4),and(X,cin))) != and(sum,and(X,not(t7)))
| and(and(X,cin),and(sum,not(t4))) = and(sum,and(X,not(t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(X,cin),and(sum,not(t4))))),bind(Y0,$fot(and(sum,and(not(t4),and(X,cin))))),bind(Z0,$fot(and(sum,and(X,not(t7)))))]]) ).
cnf(refute_0_13196,plain,
( and(sum,and(not(t4),and(X,cin))) != and(sum,and(X,not(t7)))
| and(and(X,cin),and(sum,not(t4))) = and(sum,and(X,not(t7))) ),
inference(resolve,[$cnf( $equal(and(and(X,cin),and(sum,not(t4))),and(sum,and(not(t4),and(X,cin)))) )],[refute_0_8223,refute_0_13195]) ).
cnf(refute_0_13197,plain,
and(and(X,cin),and(sum,not(t4))) = and(sum,and(X,not(t7))),
inference(resolve,[$cnf( $equal(and(sum,and(not(t4),and(X,cin))),and(sum,and(X,not(t7)))) )],[refute_0_13194,refute_0_13196]) ).
cnf(refute_0_13198,plain,
( and(and(X,cin),and(sum,not(t4))) != and(X,not(t7))
| and(and(X,cin),and(sum,not(t4))) != and(sum,and(X,not(t7)))
| and(sum,and(X,not(t7))) = and(X,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X,cin),and(sum,not(t4))),and(X,not(t7))) ),[0],$fot(and(sum,and(X,not(t7))))]]) ).
cnf(refute_0_13199,plain,
( and(and(X,cin),and(sum,not(t4))) != and(X,not(t7))
| and(sum,and(X,not(t7))) = and(X,not(t7)) ),
inference(resolve,[$cnf( $equal(and(and(X,cin),and(sum,not(t4))),and(sum,and(X,not(t7)))) )],[refute_0_13197,refute_0_13198]) ).
cnf(refute_0_13200,plain,
and(sum,and(X,not(t7))) = and(X,not(t7)),
inference(resolve,[$cnf( $equal(and(and(X,cin),and(sum,not(t4))),and(X,not(t7))) )],[refute_0_13160,refute_0_13199]) ).
cnf(refute_0_13201,plain,
and(sum,and(t1,not(t7))) = and(t1,not(t7)),
inference(subst,[],[refute_0_13200:[bind(X,$fot(t1))]]) ).
cnf(refute_0_13202,plain,
( and(sum,and(t1,not(t7))) != and(t1,not(t7))
| and(t1,not(t7)) != not(or(a,t7))
| and(sum,and(t1,not(t7))) = not(or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(sum,and(t1,not(t7))))),bind(Y0,$fot(and(t1,not(t7)))),bind(Z0,$fot(not(or(a,t7))))]]) ).
cnf(refute_0_13203,plain,
( and(t1,not(t7)) != not(or(a,t7))
| and(sum,and(t1,not(t7))) = not(or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(sum,and(t1,not(t7))),and(t1,not(t7))) )],[refute_0_13201,refute_0_13202]) ).
cnf(refute_0_13204,plain,
and(sum,and(t1,not(t7))) = not(or(a,t7)),
inference(resolve,[$cnf( $equal(and(t1,not(t7)),not(or(a,t7))) )],[refute_0_2719,refute_0_13203]) ).
cnf(refute_0_13205,plain,
and(sum,and(not(t7),t1)) = and(sum,and(t1,not(t7))),
inference(subst,[],[refute_0_2637:[bind(X_220,$fot(sum)),bind(X_221,$fot(t1)),bind(X_222,$fot(not(t7)))]]) ).
cnf(refute_0_13206,plain,
( and(sum,and(not(t7),t1)) != and(sum,and(t1,not(t7)))
| and(sum,and(t1,not(t7))) != not(or(a,t7))
| and(sum,and(not(t7),t1)) = not(or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(sum,and(not(t7),t1)))),bind(Y0,$fot(and(sum,and(t1,not(t7))))),bind(Z0,$fot(not(or(a,t7))))]]) ).
cnf(refute_0_13207,plain,
( and(sum,and(t1,not(t7))) != not(or(a,t7))
| and(sum,and(not(t7),t1)) = not(or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(sum,and(not(t7),t1)),and(sum,and(t1,not(t7)))) )],[refute_0_13205,refute_0_13206]) ).
cnf(refute_0_13208,plain,
and(sum,and(not(t7),t1)) = not(or(a,t7)),
inference(resolve,[$cnf( $equal(and(sum,and(t1,not(t7))),not(or(a,t7))) )],[refute_0_13204,refute_0_13207]) ).
cnf(refute_0_13209,plain,
and(not(t7),and(sum,t1)) = and(sum,and(not(t7),t1)),
inference(subst,[],[refute_0_4220:[bind(X,$fot(sum)),bind(Z,$fot(t1)),bind(X_669,$fot(not(t7)))]]) ).
cnf(refute_0_13210,plain,
( and(not(t7),and(sum,t1)) != and(sum,and(not(t7),t1))
| and(sum,and(not(t7),t1)) != not(or(a,t7))
| and(not(t7),and(sum,t1)) = not(or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t7),and(sum,t1)))),bind(Y0,$fot(and(sum,and(not(t7),t1)))),bind(Z0,$fot(not(or(a,t7))))]]) ).
cnf(refute_0_13211,plain,
( and(sum,and(not(t7),t1)) != not(or(a,t7))
| and(not(t7),and(sum,t1)) = not(or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(not(t7),and(sum,t1)),and(sum,and(not(t7),t1))) )],[refute_0_13209,refute_0_13210]) ).
cnf(refute_0_13212,plain,
and(not(t7),and(sum,t1)) = not(or(a,t7)),
inference(resolve,[$cnf( $equal(and(sum,and(not(t7),t1)),not(or(a,t7))) )],[refute_0_13208,refute_0_13211]) ).
cnf(refute_0_13213,plain,
or(t4,and(not(t7),and(sum,t1))) = or(t4,and(not(t7),and(sum,t1))),
introduced(tautology,[refl,[$fot(or(t4,and(not(t7),and(sum,t1))))]]) ).
cnf(refute_0_13214,plain,
( and(not(t7),and(sum,t1)) != not(or(a,t7))
| or(t4,and(not(t7),and(sum,t1))) != or(t4,and(not(t7),and(sum,t1)))
| or(t4,and(not(t7),and(sum,t1))) = or(t4,not(or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,and(not(t7),and(sum,t1))),or(t4,and(not(t7),and(sum,t1)))) ),[1,1],$fot(not(or(a,t7)))]]) ).
cnf(refute_0_13215,plain,
( and(not(t7),and(sum,t1)) != not(or(a,t7))
| or(t4,and(not(t7),and(sum,t1))) = or(t4,not(or(a,t7))) ),
inference(resolve,[$cnf( $equal(or(t4,and(not(t7),and(sum,t1))),or(t4,and(not(t7),and(sum,t1)))) )],[refute_0_13213,refute_0_13214]) ).
cnf(refute_0_13216,plain,
or(t4,and(not(t7),and(sum,t1))) = or(t4,not(or(a,t7))),
inference(resolve,[$cnf( $equal(and(not(t7),and(sum,t1)),not(or(a,t7))) )],[refute_0_13212,refute_0_13215]) ).
cnf(refute_0_13217,plain,
( or(t4,and(not(t7),and(sum,t1))) != or(t4,not(or(a,t7)))
| or(t4,not(or(a,t7))) != not(xor(t4,or(a,t7)))
| or(t4,and(not(t7),and(sum,t1))) = not(xor(t4,or(a,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t4,and(not(t7),and(sum,t1))))),bind(Y0,$fot(or(t4,not(or(a,t7))))),bind(Z0,$fot(not(xor(t4,or(a,t7)))))]]) ).
cnf(refute_0_13218,plain,
( or(t4,not(or(a,t7))) != not(xor(t4,or(a,t7)))
| or(t4,and(not(t7),and(sum,t1))) = not(xor(t4,or(a,t7))) ),
inference(resolve,[$cnf( $equal(or(t4,and(not(t7),and(sum,t1))),or(t4,not(or(a,t7)))) )],[refute_0_13216,refute_0_13217]) ).
cnf(refute_0_13219,plain,
or(t4,and(not(t7),and(sum,t1))) = not(xor(t4,or(a,t7))),
inference(resolve,[$cnf( $equal(or(t4,not(or(a,t7))),not(xor(t4,or(a,t7)))) )],[refute_0_13154,refute_0_13218]) ).
cnf(refute_0_13220,plain,
or(t4,and(and(sum,t1),not(t7))) = or(t4,and(not(t7),and(sum,t1))),
inference(subst,[],[refute_0_4342:[bind(X_818,$fot(t4)),bind(X_819,$fot(and(sum,t1))),bind(X_820,$fot(not(t7)))]]) ).
cnf(refute_0_13221,plain,
or(t4,and(X_819,not(t7))) = and(or(t4,X_819),or(t4,not(t7))),
inference(subst,[],[and_distributive:[bind(X,$fot(t4)),bind(Y,$fot(X_819)),bind(Z,$fot(not(t7)))]]) ).
cnf(refute_0_13222,plain,
( or(t4,and(X_819,not(t7))) != and(or(t4,X_819),or(t4,not(t7)))
| or(t4,not(t7)) != or(cin,sum)
| or(t4,and(X_819,not(t7))) = and(or(t4,X_819),or(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,and(X_819,not(t7))),and(or(t4,X_819),or(t4,not(t7)))) ),[1,1],$fot(or(cin,sum))]]) ).
cnf(refute_0_13223,plain,
( or(t4,and(X_819,not(t7))) != and(or(t4,X_819),or(t4,not(t7)))
| or(t4,and(X_819,not(t7))) = and(or(t4,X_819),or(cin,sum)) ),
inference(resolve,[$cnf( $equal(or(t4,not(t7)),or(cin,sum)) )],[refute_0_12107,refute_0_13222]) ).
cnf(refute_0_13224,plain,
or(t4,and(X_819,not(t7))) = and(or(t4,X_819),or(cin,sum)),
inference(resolve,[$cnf( $equal(or(t4,and(X_819,not(t7))),and(or(t4,X_819),or(t4,not(t7)))) )],[refute_0_13221,refute_0_13223]) ).
cnf(refute_0_13225,plain,
and(or(t4,X_819),or(cin,sum)) = and(or(cin,sum),or(t4,X_819)),
inference(subst,[],[refute_0_4252:[bind(X_14,$fot(or(cin,sum))),bind(X_669,$fot(or(t4,X_819)))]]) ).
cnf(refute_0_13226,plain,
( and(or(t4,X_819),or(cin,sum)) != and(or(cin,sum),or(t4,X_819))
| or(t4,and(X_819,not(t7))) != and(or(t4,X_819),or(cin,sum))
| or(t4,and(X_819,not(t7))) = and(or(cin,sum),or(t4,X_819)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,and(X_819,not(t7))),and(or(t4,X_819),or(cin,sum))) ),[1],$fot(and(or(cin,sum),or(t4,X_819)))]]) ).
cnf(refute_0_13227,plain,
( or(t4,and(X_819,not(t7))) != and(or(t4,X_819),or(cin,sum))
| or(t4,and(X_819,not(t7))) = and(or(cin,sum),or(t4,X_819)) ),
inference(resolve,[$cnf( $equal(and(or(t4,X_819),or(cin,sum)),and(or(cin,sum),or(t4,X_819))) )],[refute_0_13225,refute_0_13226]) ).
cnf(refute_0_13228,plain,
or(t4,and(X_819,not(t7))) = and(or(cin,sum),or(t4,X_819)),
inference(resolve,[$cnf( $equal(or(t4,and(X_819,not(t7))),and(or(t4,X_819),or(cin,sum))) )],[refute_0_13224,refute_0_13227]) ).
cnf(refute_0_13229,plain,
( or(t4,and(X_819,not(t7))) != and(or(cin,sum),or(t4,X_819))
| and(or(cin,sum),or(t4,X_819)) = or(t4,and(X_819,not(t7))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(t4,and(X_819,not(t7))))),bind(Y0,$fot(and(or(cin,sum),or(t4,X_819))))]]) ).
cnf(refute_0_13230,plain,
and(or(cin,sum),or(t4,X_819)) = or(t4,and(X_819,not(t7))),
inference(resolve,[$cnf( $equal(or(t4,and(X_819,not(t7))),and(or(cin,sum),or(t4,X_819))) )],[refute_0_13228,refute_0_13229]) ).
cnf(refute_0_13231,plain,
and(or(cin,sum),or(t4,and(sum,t1))) = or(t4,and(and(sum,t1),not(t7))),
inference(subst,[],[refute_0_13230:[bind(X_819,$fot(and(sum,t1)))]]) ).
cnf(refute_0_13232,plain,
( and(or(cin,sum),or(t4,and(sum,t1))) != or(t4,and(and(sum,t1),not(t7)))
| or(t4,and(and(sum,t1),not(t7))) != or(t4,and(not(t7),and(sum,t1)))
| and(or(cin,sum),or(t4,and(sum,t1))) = or(t4,and(not(t7),and(sum,t1))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(or(cin,sum),or(t4,and(sum,t1))))),bind(Y0,$fot(or(t4,and(and(sum,t1),not(t7))))),bind(Z0,$fot(or(t4,and(not(t7),and(sum,t1)))))]]) ).
cnf(refute_0_13233,plain,
( or(t4,and(and(sum,t1),not(t7))) != or(t4,and(not(t7),and(sum,t1)))
| and(or(cin,sum),or(t4,and(sum,t1))) = or(t4,and(not(t7),and(sum,t1))) ),
inference(resolve,[$cnf( $equal(and(or(cin,sum),or(t4,and(sum,t1))),or(t4,and(and(sum,t1),not(t7)))) )],[refute_0_13231,refute_0_13232]) ).
cnf(refute_0_13234,plain,
and(or(cin,sum),or(t4,and(sum,t1))) = or(t4,and(not(t7),and(sum,t1))),
inference(resolve,[$cnf( $equal(or(t4,and(and(sum,t1),not(t7))),or(t4,and(not(t7),and(sum,t1)))) )],[refute_0_13220,refute_0_13233]) ).
cnf(refute_0_13235,plain,
( and(or(cin,sum),or(t4,and(sum,t1))) != or(t4,and(not(t7),and(sum,t1)))
| or(t4,and(not(t7),and(sum,t1))) != not(xor(t4,or(a,t7)))
| and(or(cin,sum),or(t4,and(sum,t1))) = not(xor(t4,or(a,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(or(cin,sum),or(t4,and(sum,t1))))),bind(Y0,$fot(or(t4,and(not(t7),and(sum,t1))))),bind(Z0,$fot(not(xor(t4,or(a,t7)))))]]) ).
cnf(refute_0_13236,plain,
( or(t4,and(not(t7),and(sum,t1))) != not(xor(t4,or(a,t7)))
| and(or(cin,sum),or(t4,and(sum,t1))) = not(xor(t4,or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(or(cin,sum),or(t4,and(sum,t1))),or(t4,and(not(t7),and(sum,t1)))) )],[refute_0_13234,refute_0_13235]) ).
cnf(refute_0_13237,plain,
and(or(cin,sum),or(t4,and(sum,t1))) = not(xor(t4,or(a,t7))),
inference(resolve,[$cnf( $equal(or(t4,and(not(t7),and(sum,t1))),not(xor(t4,or(a,t7)))) )],[refute_0_13219,refute_0_13236]) ).
cnf(refute_0_13238,plain,
( and(or(cin,sum),or(t4,and(sum,t1))) != not(xor(t4,or(a,t7)))
| and(or(cin,sum),or(t4,and(sum,t1))) != or(t4,and(sum,t1))
| not(xor(t4,or(a,t7))) = or(t4,and(sum,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(cin,sum),or(t4,and(sum,t1))),or(t4,and(sum,t1))) ),[0],$fot(not(xor(t4,or(a,t7))))]]) ).
cnf(refute_0_13239,plain,
( and(or(cin,sum),or(t4,and(sum,t1))) != or(t4,and(sum,t1))
| not(xor(t4,or(a,t7))) = or(t4,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(and(or(cin,sum),or(t4,and(sum,t1))),not(xor(t4,or(a,t7)))) )],[refute_0_13237,refute_0_13238]) ).
cnf(refute_0_13240,plain,
not(xor(t4,or(a,t7))) = or(t4,and(sum,t1)),
inference(resolve,[$cnf( $equal(and(or(cin,sum),or(t4,and(sum,t1))),or(t4,and(sum,t1))) )],[refute_0_13143,refute_0_13239]) ).
cnf(refute_0_13241,plain,
and(t6,not(xor(t4,or(a,t7)))) = and(t6,not(xor(t4,or(a,t7)))),
introduced(tautology,[refl,[$fot(and(t6,not(xor(t4,or(a,t7)))))]]) ).
cnf(refute_0_13242,plain,
( and(t6,not(xor(t4,or(a,t7)))) != and(t6,not(xor(t4,or(a,t7))))
| not(xor(t4,or(a,t7))) != or(t4,and(sum,t1))
| and(t6,not(xor(t4,or(a,t7)))) = and(t6,or(t4,and(sum,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(xor(t4,or(a,t7)))),and(t6,not(xor(t4,or(a,t7))))) ),[1,1],$fot(or(t4,and(sum,t1)))]]) ).
cnf(refute_0_13243,plain,
( not(xor(t4,or(a,t7))) != or(t4,and(sum,t1))
| and(t6,not(xor(t4,or(a,t7)))) = and(t6,or(t4,and(sum,t1))) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(t4,or(a,t7)))),and(t6,not(xor(t4,or(a,t7))))) )],[refute_0_13241,refute_0_13242]) ).
cnf(refute_0_13244,plain,
and(t6,not(xor(t4,or(a,t7)))) = and(t6,or(t4,and(sum,t1))),
inference(resolve,[$cnf( $equal(not(xor(t4,or(a,t7))),or(t4,and(sum,t1))) )],[refute_0_13240,refute_0_13243]) ).
cnf(refute_0_13245,plain,
( and(t6,not(xor(t4,or(a,t7)))) != and(t6,or(t4,and(sum,t1)))
| and(t6,not(xor(t4,or(a,t7)))) != xor(t5,or(a,t7))
| and(t6,or(t4,and(sum,t1))) = xor(t5,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(xor(t4,or(a,t7)))),xor(t5,or(a,t7))) ),[0],$fot(and(t6,or(t4,and(sum,t1))))]]) ).
cnf(refute_0_13246,plain,
( and(t6,not(xor(t4,or(a,t7)))) != xor(t5,or(a,t7))
| and(t6,or(t4,and(sum,t1))) = xor(t5,or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(t4,or(a,t7)))),and(t6,or(t4,and(sum,t1)))) )],[refute_0_13244,refute_0_13245]) ).
cnf(refute_0_13247,plain,
and(t6,or(t4,and(sum,t1))) = xor(t5,or(a,t7)),
inference(resolve,[$cnf( $equal(and(t6,not(xor(t4,or(a,t7)))),xor(t5,or(a,t7))) )],[refute_0_13100,refute_0_13246]) ).
cnf(refute_0_13248,plain,
( and(t6,or(t4,and(sum,t1))) != xor(t5,or(a,t7))
| xor(t5,or(a,t7)) != xor(t4,and(sum,t1))
| and(t6,or(t4,and(sum,t1))) = xor(t4,and(sum,t1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,or(t4,and(sum,t1))),xor(t4,and(sum,t1))) ),[0],$fot(xor(t5,or(a,t7)))]]) ).
cnf(refute_0_13249,plain,
( and(t6,or(t4,and(sum,t1))) != xor(t5,or(a,t7))
| and(t6,or(t4,and(sum,t1))) = xor(t4,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(xor(t5,or(a,t7)),xor(t4,and(sum,t1))) )],[refute_0_12667,refute_0_13248]) ).
cnf(refute_0_13250,plain,
and(t6,or(t4,and(sum,t1))) = xor(t4,and(sum,t1)),
inference(resolve,[$cnf( $equal(and(t6,or(t4,and(sum,t1))),xor(t5,or(a,t7))) )],[refute_0_13247,refute_0_13249]) ).
cnf(refute_0_13251,plain,
and(t1,cin) = and(cin,t1),
inference(subst,[],[refute_0_4252:[bind(X_14,$fot(cin)),bind(X_669,$fot(t1))]]) ).
cnf(refute_0_13252,plain,
or(and(t6,not(xor(cin,t6))),and(not(t6),xor(cin,t6))) = xor(t6,xor(cin,t6)),
inference(subst,[],[refute_0_9:[bind(X,$fot(t6)),bind(Y,$fot(xor(cin,t6)))]]) ).
cnf(refute_0_13253,plain,
( and(not(t6),xor(cin,t6)) != ll0
| or(and(t6,not(xor(cin,t6))),and(not(t6),xor(cin,t6))) != xor(t6,xor(cin,t6))
| or(and(t6,not(xor(cin,t6))),ll0) = xor(t6,xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,not(xor(cin,t6))),and(not(t6),xor(cin,t6))),xor(t6,xor(cin,t6))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_13254,plain,
( or(and(t6,not(xor(cin,t6))),and(not(t6),xor(cin,t6))) != xor(t6,xor(cin,t6))
| or(and(t6,not(xor(cin,t6))),ll0) = xor(t6,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(and(not(t6),xor(cin,t6)),ll0) )],[refute_0_2384,refute_0_13253]) ).
cnf(refute_0_13255,plain,
or(and(t6,not(xor(cin,t6))),ll0) = xor(t6,xor(cin,t6)),
inference(resolve,[$cnf( $equal(or(and(t6,not(xor(cin,t6))),and(not(t6),xor(cin,t6))),xor(t6,xor(cin,t6))) )],[refute_0_13252,refute_0_13254]) ).
cnf(refute_0_13256,plain,
or(and(t6,not(xor(cin,t6))),ll0) = and(t6,not(xor(cin,t6))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t6,not(xor(cin,t6)))))]]) ).
cnf(refute_0_13257,plain,
( or(and(t6,not(xor(cin,t6))),ll0) != and(t6,not(xor(cin,t6)))
| or(and(t6,not(xor(cin,t6))),ll0) != xor(t6,xor(cin,t6))
| and(t6,not(xor(cin,t6))) = xor(t6,xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,not(xor(cin,t6))),ll0),xor(t6,xor(cin,t6))) ),[0],$fot(and(t6,not(xor(cin,t6))))]]) ).
cnf(refute_0_13258,plain,
( or(and(t6,not(xor(cin,t6))),ll0) != xor(t6,xor(cin,t6))
| and(t6,not(xor(cin,t6))) = xor(t6,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(or(and(t6,not(xor(cin,t6))),ll0),and(t6,not(xor(cin,t6)))) )],[refute_0_13256,refute_0_13257]) ).
cnf(refute_0_13259,plain,
and(t6,not(xor(cin,t6))) = xor(t6,xor(cin,t6)),
inference(resolve,[$cnf( $equal(or(and(t6,not(xor(cin,t6))),ll0),xor(t6,xor(cin,t6))) )],[refute_0_13255,refute_0_13258]) ).
cnf(refute_0_13260,plain,
xor(t6,t6) = ll0,
inference(subst,[],[refute_0_6895:[bind(X_63,$fot(t6))]]) ).
cnf(refute_0_13261,plain,
xor(cin,xor(t6,t6)) = xor(cin,xor(t6,t6)),
introduced(tautology,[refl,[$fot(xor(cin,xor(t6,t6)))]]) ).
cnf(refute_0_13262,plain,
( xor(cin,xor(t6,t6)) != xor(cin,xor(t6,t6))
| xor(t6,t6) != ll0
| xor(cin,xor(t6,t6)) = xor(cin,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t6,t6)),xor(cin,xor(t6,t6))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_13263,plain,
( xor(t6,t6) != ll0
| xor(cin,xor(t6,t6)) = xor(cin,ll0) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t6,t6)),xor(cin,xor(t6,t6))) )],[refute_0_13261,refute_0_13262]) ).
cnf(refute_0_13264,plain,
xor(cin,xor(t6,t6)) = xor(cin,ll0),
inference(resolve,[$cnf( $equal(xor(t6,t6),ll0) )],[refute_0_13260,refute_0_13263]) ).
cnf(refute_0_13265,plain,
( xor(cin,ll0) != cin
| xor(cin,xor(t6,t6)) != xor(cin,ll0)
| xor(cin,xor(t6,t6)) = cin ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(cin,xor(t6,t6)))),bind(Y0,$fot(xor(cin,ll0))),bind(Z0,$fot(cin))]]) ).
cnf(refute_0_13266,plain,
( xor(cin,ll0) != cin
| xor(cin,xor(t6,t6)) = cin ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t6,t6)),xor(cin,ll0)) )],[refute_0_13264,refute_0_13265]) ).
cnf(refute_0_13267,plain,
xor(cin,xor(t6,t6)) = cin,
inference(resolve,[$cnf( $equal(xor(cin,ll0),cin) )],[refute_0_4690,refute_0_13266]) ).
cnf(refute_0_13268,plain,
xor(t6,xor(cin,t6)) = xor(cin,xor(t6,t6)),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(cin)),bind(X_334,$fot(t6)),bind(X_335,$fot(t6))]]) ).
cnf(refute_0_13269,plain,
( xor(cin,xor(t6,t6)) != cin
| xor(t6,xor(cin,t6)) != xor(cin,xor(t6,t6))
| xor(t6,xor(cin,t6)) = cin ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,xor(cin,t6)))),bind(Y0,$fot(xor(cin,xor(t6,t6)))),bind(Z0,$fot(cin))]]) ).
cnf(refute_0_13270,plain,
( xor(cin,xor(t6,t6)) != cin
| xor(t6,xor(cin,t6)) = cin ),
inference(resolve,[$cnf( $equal(xor(t6,xor(cin,t6)),xor(cin,xor(t6,t6))) )],[refute_0_13268,refute_0_13269]) ).
cnf(refute_0_13271,plain,
xor(t6,xor(cin,t6)) = cin,
inference(resolve,[$cnf( $equal(xor(cin,xor(t6,t6)),cin) )],[refute_0_13267,refute_0_13270]) ).
cnf(refute_0_13272,plain,
( and(t6,not(xor(cin,t6))) != xor(t6,xor(cin,t6))
| xor(t6,xor(cin,t6)) != cin
| and(t6,not(xor(cin,t6))) = cin ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,not(xor(cin,t6))),cin) ),[0],$fot(xor(t6,xor(cin,t6)))]]) ).
cnf(refute_0_13273,plain,
( and(t6,not(xor(cin,t6))) != xor(t6,xor(cin,t6))
| and(t6,not(xor(cin,t6))) = cin ),
inference(resolve,[$cnf( $equal(xor(t6,xor(cin,t6)),cin) )],[refute_0_13271,refute_0_13272]) ).
cnf(refute_0_13274,plain,
and(t6,not(xor(cin,t6))) = cin,
inference(resolve,[$cnf( $equal(and(t6,not(xor(cin,t6))),xor(t6,xor(cin,t6))) )],[refute_0_13259,refute_0_13273]) ).
cnf(refute_0_13275,plain,
and(t6,not(xor(cin,t6))) = and(t6,not(xor(cin,t6))),
introduced(tautology,[refl,[$fot(and(t6,not(xor(cin,t6))))]]) ).
cnf(refute_0_13276,plain,
( and(t6,not(xor(cin,t6))) != and(t6,not(xor(cin,t6)))
| not(xor(cin,t6)) != or(cin,sum)
| and(t6,not(xor(cin,t6))) = and(t6,or(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(xor(cin,t6))),and(t6,not(xor(cin,t6)))) ),[1,1],$fot(or(cin,sum))]]) ).
cnf(refute_0_13277,plain,
( not(xor(cin,t6)) != or(cin,sum)
| and(t6,not(xor(cin,t6))) = and(t6,or(cin,sum)) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(cin,t6))),and(t6,not(xor(cin,t6)))) )],[refute_0_13275,refute_0_13276]) ).
cnf(refute_0_13278,plain,
and(t6,not(xor(cin,t6))) = and(t6,or(cin,sum)),
inference(resolve,[$cnf( $equal(not(xor(cin,t6)),or(cin,sum)) )],[refute_0_2510,refute_0_13277]) ).
cnf(refute_0_13279,plain,
( and(t6,not(xor(cin,t6))) != and(t6,or(cin,sum))
| and(t6,not(xor(cin,t6))) != cin
| and(t6,or(cin,sum)) = cin ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(xor(cin,t6))),cin) ),[0],$fot(and(t6,or(cin,sum)))]]) ).
cnf(refute_0_13280,plain,
( and(t6,not(xor(cin,t6))) != cin
| and(t6,or(cin,sum)) = cin ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(cin,t6))),and(t6,or(cin,sum))) )],[refute_0_13278,refute_0_13279]) ).
cnf(refute_0_13281,plain,
and(t6,or(cin,sum)) = cin,
inference(resolve,[$cnf( $equal(and(t6,not(xor(cin,t6))),cin) )],[refute_0_13274,refute_0_13280]) ).
cnf(refute_0_13282,plain,
and(t1,and(t6,or(cin,sum))) = and(t1,and(t6,or(cin,sum))),
introduced(tautology,[refl,[$fot(and(t1,and(t6,or(cin,sum))))]]) ).
cnf(refute_0_13283,plain,
( and(t1,and(t6,or(cin,sum))) != and(t1,and(t6,or(cin,sum)))
| and(t6,or(cin,sum)) != cin
| and(t1,and(t6,or(cin,sum))) = and(t1,cin) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,and(t6,or(cin,sum))),and(t1,and(t6,or(cin,sum)))) ),[1,1],$fot(cin)]]) ).
cnf(refute_0_13284,plain,
( and(t6,or(cin,sum)) != cin
| and(t1,and(t6,or(cin,sum))) = and(t1,cin) ),
inference(resolve,[$cnf( $equal(and(t1,and(t6,or(cin,sum))),and(t1,and(t6,or(cin,sum)))) )],[refute_0_13282,refute_0_13283]) ).
cnf(refute_0_13285,plain,
and(t1,and(t6,or(cin,sum))) = and(t1,cin),
inference(resolve,[$cnf( $equal(and(t6,or(cin,sum)),cin) )],[refute_0_13281,refute_0_13284]) ).
cnf(refute_0_13286,plain,
( and(t1,and(t6,or(cin,sum))) != and(t1,cin)
| and(t1,cin) != and(cin,t1)
| and(t1,and(t6,or(cin,sum))) = and(cin,t1) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t1,and(t6,or(cin,sum))))),bind(Y0,$fot(and(t1,cin))),bind(Z0,$fot(and(cin,t1)))]]) ).
cnf(refute_0_13287,plain,
( and(t1,cin) != and(cin,t1)
| and(t1,and(t6,or(cin,sum))) = and(cin,t1) ),
inference(resolve,[$cnf( $equal(and(t1,and(t6,or(cin,sum))),and(t1,cin)) )],[refute_0_13285,refute_0_13286]) ).
cnf(refute_0_13288,plain,
and(t1,and(t6,or(cin,sum))) = and(cin,t1),
inference(resolve,[$cnf( $equal(and(t1,cin),and(cin,t1)) )],[refute_0_13251,refute_0_13287]) ).
cnf(refute_0_13289,plain,
and(t6,and(t1,or(cin,sum))) = and(t1,and(t6,or(cin,sum))),
inference(subst,[],[refute_0_4220:[bind(X,$fot(t1)),bind(Z,$fot(or(cin,sum))),bind(X_669,$fot(t6))]]) ).
cnf(refute_0_13290,plain,
( and(t1,and(t6,or(cin,sum))) != and(cin,t1)
| and(t6,and(t1,or(cin,sum))) != and(t1,and(t6,or(cin,sum)))
| and(t6,and(t1,or(cin,sum))) = and(cin,t1) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t6,and(t1,or(cin,sum))))),bind(Y0,$fot(and(t1,and(t6,or(cin,sum))))),bind(Z0,$fot(and(cin,t1)))]]) ).
cnf(refute_0_13291,plain,
( and(t1,and(t6,or(cin,sum))) != and(cin,t1)
| and(t6,and(t1,or(cin,sum))) = and(cin,t1) ),
inference(resolve,[$cnf( $equal(and(t6,and(t1,or(cin,sum))),and(t1,and(t6,or(cin,sum)))) )],[refute_0_13289,refute_0_13290]) ).
cnf(refute_0_13292,plain,
and(t6,and(t1,or(cin,sum))) = and(cin,t1),
inference(resolve,[$cnf( $equal(and(t1,and(t6,or(cin,sum))),and(cin,t1)) )],[refute_0_13288,refute_0_13291]) ).
cnf(refute_0_13293,plain,
not(not(and(t1,or(cin,sum)))) = and(t1,or(cin,sum)),
inference(subst,[],[not_involution:[bind(X,$fot(and(t1,or(cin,sum))))]]) ).
cnf(refute_0_13294,plain,
or(xor(t4,or(a,t7)),and(a,xor(t4,or(a,t7)))) = xor(t4,or(a,t7)),
inference(subst,[],[refute_0_222:[bind(X_13,$fot(xor(t4,or(a,t7)))),bind(X_14,$fot(a))]]) ).
cnf(refute_0_13295,plain,
xor(t3,xor(t3,and(a,xor(t4,or(a,t7))))) = and(a,xor(t4,or(a,t7))),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(t3)),bind(X_335,$fot(and(a,xor(t4,or(a,t7)))))]]) ).
cnf(refute_0_13296,plain,
and(t3,or(or(t4,and(sum,t1)),not(a))) = xor(t3,and(a,not(or(t4,and(sum,t1))))),
inference(subst,[],[refute_0_6517:[bind(X,$fot(or(t4,and(sum,t1))))]]) ).
cnf(refute_0_13297,plain,
and(not(t4),or(a,t7)) = and(t5,and(t6,or(a,t7))),
inference(subst,[],[refute_0_5450:[bind(Z,$fot(or(a,t7)))]]) ).
cnf(refute_0_13298,plain,
( and(not(t4),or(a,t7)) != and(t5,and(t6,or(a,t7)))
| and(t6,or(a,t7)) != not(and(sum,t1))
| and(not(t4),or(a,t7)) = and(t5,not(and(sum,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),or(a,t7)),and(t5,and(t6,or(a,t7)))) ),[1,1],$fot(not(and(sum,t1)))]]) ).
cnf(refute_0_13299,plain,
( and(not(t4),or(a,t7)) != and(t5,and(t6,or(a,t7)))
| and(not(t4),or(a,t7)) = and(t5,not(and(sum,t1))) ),
inference(resolve,[$cnf( $equal(and(t6,or(a,t7)),not(and(sum,t1))) )],[refute_0_9487,refute_0_13298]) ).
cnf(refute_0_13300,plain,
and(not(t4),or(a,t7)) = and(t5,not(and(sum,t1))),
inference(resolve,[$cnf( $equal(and(not(t4),or(a,t7)),and(t5,and(t6,or(a,t7)))) )],[refute_0_13297,refute_0_13299]) ).
cnf(refute_0_13301,plain,
( and(not(t4),or(a,t7)) != and(t5,not(and(sum,t1)))
| and(not(t4),or(a,t7)) != xor(t4,or(a,t7))
| xor(t4,or(a,t7)) = and(t5,not(and(sum,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),or(a,t7)),and(t5,not(and(sum,t1)))) ),[0],$fot(xor(t4,or(a,t7)))]]) ).
cnf(refute_0_13302,plain,
( and(not(t4),or(a,t7)) != and(t5,not(and(sum,t1)))
| xor(t4,or(a,t7)) = and(t5,not(and(sum,t1))) ),
inference(resolve,[$cnf( $equal(and(not(t4),or(a,t7)),xor(t4,or(a,t7))) )],[refute_0_12730,refute_0_13301]) ).
cnf(refute_0_13303,plain,
and(not(t4),not(xor(t7,or(t1,and(t3,t7))))) = and(t5,and(t6,not(xor(t7,or(t1,and(t3,t7)))))),
inference(subst,[],[refute_0_5450:[bind(Z,$fot(not(xor(t7,or(t1,and(t3,t7))))))]]) ).
cnf(refute_0_13304,plain,
( and(not(t4),not(xor(t7,or(t1,and(t3,t7))))) != and(t5,and(t6,not(xor(t7,or(t1,and(t3,t7))))))
| and(t6,not(xor(t7,or(t1,and(t3,t7))))) != xor(sum,or(t1,and(t3,t7)))
| and(not(t4),not(xor(t7,or(t1,and(t3,t7))))) = and(t5,xor(sum,or(t1,and(t3,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),not(xor(t7,or(t1,and(t3,t7))))),and(t5,and(t6,not(xor(t7,or(t1,and(t3,t7))))))) ),[1,1],$fot(xor(sum,or(t1,and(t3,t7))))]]) ).
cnf(refute_0_13305,plain,
( and(not(t4),not(xor(t7,or(t1,and(t3,t7))))) != and(t5,and(t6,not(xor(t7,or(t1,and(t3,t7))))))
| and(not(t4),not(xor(t7,or(t1,and(t3,t7))))) = and(t5,xor(sum,or(t1,and(t3,t7)))) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(t7,or(t1,and(t3,t7))))),xor(sum,or(t1,and(t3,t7)))) )],[refute_0_7429,refute_0_13304]) ).
cnf(refute_0_13306,plain,
and(not(t4),not(xor(t7,or(t1,and(t3,t7))))) = and(t5,xor(sum,or(t1,and(t3,t7)))),
inference(resolve,[$cnf( $equal(and(not(t4),not(xor(t7,or(t1,and(t3,t7))))),and(t5,and(t6,not(xor(t7,or(t1,and(t3,t7))))))) )],[refute_0_13303,refute_0_13305]) ).
cnf(refute_0_13307,plain,
and(not(t4),not(xor(t7,or(t1,and(t3,t7))))) = not(or(t4,xor(t7,or(t1,and(t3,t7))))),
inference(subst,[],[refute_0_101:[bind(X,$fot(t4)),bind(Y,$fot(xor(t7,or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_13308,plain,
( and(not(t4),not(xor(t7,or(t1,and(t3,t7))))) != and(t5,xor(sum,or(t1,and(t3,t7))))
| and(not(t4),not(xor(t7,or(t1,and(t3,t7))))) != not(or(t4,xor(t7,or(t1,and(t3,t7)))))
| not(or(t4,xor(t7,or(t1,and(t3,t7))))) = and(t5,xor(sum,or(t1,and(t3,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),not(xor(t7,or(t1,and(t3,t7))))),and(t5,xor(sum,or(t1,and(t3,t7))))) ),[0],$fot(not(or(t4,xor(t7,or(t1,and(t3,t7))))))]]) ).
cnf(refute_0_13309,plain,
( and(not(t4),not(xor(t7,or(t1,and(t3,t7))))) != and(t5,xor(sum,or(t1,and(t3,t7))))
| not(or(t4,xor(t7,or(t1,and(t3,t7))))) = and(t5,xor(sum,or(t1,and(t3,t7)))) ),
inference(resolve,[$cnf( $equal(and(not(t4),not(xor(t7,or(t1,and(t3,t7))))),not(or(t4,xor(t7,or(t1,and(t3,t7)))))) )],[refute_0_13307,refute_0_13308]) ).
cnf(refute_0_13310,plain,
not(or(t4,xor(t7,or(t1,and(t3,t7))))) = and(t5,xor(sum,or(t1,and(t3,t7)))),
inference(resolve,[$cnf( $equal(and(not(t4),not(xor(t7,or(t1,and(t3,t7))))),and(t5,xor(sum,or(t1,and(t3,t7))))) )],[refute_0_13306,refute_0_13309]) ).
cnf(refute_0_13311,plain,
or(t4,xor(t7,or(t1,and(t3,t7)))) = or(t4,xor(t7,or(t1,and(t3,t7)))),
introduced(tautology,[refl,[$fot(or(t4,xor(t7,or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_13312,plain,
( or(t4,xor(t7,or(t1,and(t3,t7)))) != or(t4,xor(t7,or(t1,and(t3,t7))))
| xor(t7,or(t1,and(t3,t7))) != xor(t7,or(t1,t7))
| or(t4,xor(t7,or(t1,and(t3,t7)))) = or(t4,xor(t7,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,xor(t7,or(t1,and(t3,t7)))),or(t4,xor(t7,or(t1,and(t3,t7))))) ),[1,1],$fot(xor(t7,or(t1,t7)))]]) ).
cnf(refute_0_13313,plain,
( xor(t7,or(t1,and(t3,t7))) != xor(t7,or(t1,t7))
| or(t4,xor(t7,or(t1,and(t3,t7)))) = or(t4,xor(t7,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(or(t4,xor(t7,or(t1,and(t3,t7)))),or(t4,xor(t7,or(t1,and(t3,t7))))) )],[refute_0_13311,refute_0_13312]) ).
cnf(refute_0_13314,plain,
or(t4,xor(t7,or(t1,and(t3,t7)))) = or(t4,xor(t7,or(t1,t7))),
inference(resolve,[$cnf( $equal(xor(t7,or(t1,and(t3,t7))),xor(t7,or(t1,t7))) )],[refute_0_11061,refute_0_13313]) ).
cnf(refute_0_13315,plain,
not(or(t4,xor(t7,or(t1,and(t3,t7))))) = not(or(t4,xor(t7,or(t1,and(t3,t7))))),
introduced(tautology,[refl,[$fot(not(or(t4,xor(t7,or(t1,and(t3,t7))))))]]) ).
cnf(refute_0_13316,plain,
( not(or(t4,xor(t7,or(t1,and(t3,t7))))) != not(or(t4,xor(t7,or(t1,and(t3,t7)))))
| or(t4,xor(t7,or(t1,and(t3,t7)))) != or(t4,xor(t7,or(t1,t7)))
| not(or(t4,xor(t7,or(t1,and(t3,t7))))) = not(or(t4,xor(t7,or(t1,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t4,xor(t7,or(t1,and(t3,t7))))),not(or(t4,xor(t7,or(t1,and(t3,t7)))))) ),[1,0],$fot(or(t4,xor(t7,or(t1,t7))))]]) ).
cnf(refute_0_13317,plain,
( or(t4,xor(t7,or(t1,and(t3,t7)))) != or(t4,xor(t7,or(t1,t7)))
| not(or(t4,xor(t7,or(t1,and(t3,t7))))) = not(or(t4,xor(t7,or(t1,t7)))) ),
inference(resolve,[$cnf( $equal(not(or(t4,xor(t7,or(t1,and(t3,t7))))),not(or(t4,xor(t7,or(t1,and(t3,t7)))))) )],[refute_0_13315,refute_0_13316]) ).
cnf(refute_0_13318,plain,
not(or(t4,xor(t7,or(t1,and(t3,t7))))) = not(or(t4,xor(t7,or(t1,t7)))),
inference(resolve,[$cnf( $equal(or(t4,xor(t7,or(t1,and(t3,t7)))),or(t4,xor(t7,or(t1,t7)))) )],[refute_0_13314,refute_0_13317]) ).
cnf(refute_0_13319,plain,
( not(or(t4,xor(t7,or(t1,and(t3,t7))))) != and(t5,xor(sum,or(t1,and(t3,t7))))
| not(or(t4,xor(t7,or(t1,and(t3,t7))))) != not(or(t4,xor(t7,or(t1,t7))))
| not(or(t4,xor(t7,or(t1,t7)))) = and(t5,xor(sum,or(t1,and(t3,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t4,xor(t7,or(t1,and(t3,t7))))),and(t5,xor(sum,or(t1,and(t3,t7))))) ),[0],$fot(not(or(t4,xor(t7,or(t1,t7)))))]]) ).
cnf(refute_0_13320,plain,
( not(or(t4,xor(t7,or(t1,and(t3,t7))))) != and(t5,xor(sum,or(t1,and(t3,t7))))
| not(or(t4,xor(t7,or(t1,t7)))) = and(t5,xor(sum,or(t1,and(t3,t7)))) ),
inference(resolve,[$cnf( $equal(not(or(t4,xor(t7,or(t1,and(t3,t7))))),not(or(t4,xor(t7,or(t1,t7))))) )],[refute_0_13318,refute_0_13319]) ).
cnf(refute_0_13321,plain,
and(t5,xor(sum,or(t1,and(t3,t7)))) = and(t5,xor(sum,or(t1,and(t3,t7)))),
introduced(tautology,[refl,[$fot(and(t5,xor(sum,or(t1,and(t3,t7)))))]]) ).
cnf(refute_0_13322,plain,
( and(t5,xor(sum,or(t1,and(t3,t7)))) != and(t5,xor(sum,or(t1,and(t3,t7))))
| xor(sum,or(t1,and(t3,t7))) != not(and(sum,t1))
| and(t5,xor(sum,or(t1,and(t3,t7)))) = and(t5,not(and(sum,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,xor(sum,or(t1,and(t3,t7)))),and(t5,xor(sum,or(t1,and(t3,t7))))) ),[1,1],$fot(not(and(sum,t1)))]]) ).
cnf(refute_0_13323,plain,
( xor(sum,or(t1,and(t3,t7))) != not(and(sum,t1))
| and(t5,xor(sum,or(t1,and(t3,t7)))) = and(t5,not(and(sum,t1))) ),
inference(resolve,[$cnf( $equal(and(t5,xor(sum,or(t1,and(t3,t7)))),and(t5,xor(sum,or(t1,and(t3,t7))))) )],[refute_0_13321,refute_0_13322]) ).
cnf(refute_0_13324,plain,
and(t5,xor(sum,or(t1,and(t3,t7)))) = and(t5,not(and(sum,t1))),
inference(resolve,[$cnf( $equal(xor(sum,or(t1,and(t3,t7))),not(and(sum,t1))) )],[refute_0_11041,refute_0_13323]) ).
cnf(refute_0_13325,plain,
( and(t5,xor(sum,or(t1,and(t3,t7)))) != and(t5,not(and(sum,t1)))
| not(or(t4,xor(t7,or(t1,t7)))) != and(t5,xor(sum,or(t1,and(t3,t7))))
| not(or(t4,xor(t7,or(t1,t7)))) = and(t5,not(and(sum,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t4,xor(t7,or(t1,t7)))),and(t5,xor(sum,or(t1,and(t3,t7))))) ),[1],$fot(and(t5,not(and(sum,t1))))]]) ).
cnf(refute_0_13326,plain,
( not(or(t4,xor(t7,or(t1,t7)))) != and(t5,xor(sum,or(t1,and(t3,t7))))
| not(or(t4,xor(t7,or(t1,t7)))) = and(t5,not(and(sum,t1))) ),
inference(resolve,[$cnf( $equal(and(t5,xor(sum,or(t1,and(t3,t7)))),and(t5,not(and(sum,t1)))) )],[refute_0_13324,refute_0_13325]) ).
cnf(refute_0_13327,plain,
( not(or(t4,xor(t7,or(t1,and(t3,t7))))) != and(t5,xor(sum,or(t1,and(t3,t7))))
| not(or(t4,xor(t7,or(t1,t7)))) = and(t5,not(and(sum,t1))) ),
inference(resolve,[$cnf( $equal(not(or(t4,xor(t7,or(t1,t7)))),and(t5,xor(sum,or(t1,and(t3,t7))))) )],[refute_0_13320,refute_0_13326]) ).
cnf(refute_0_13328,plain,
not(or(t4,xor(t7,or(t1,t7)))) = and(t5,not(and(sum,t1))),
inference(resolve,[$cnf( $equal(not(or(t4,xor(t7,or(t1,and(t3,t7))))),and(t5,xor(sum,or(t1,and(t3,t7))))) )],[refute_0_13310,refute_0_13327]) ).
cnf(refute_0_13329,plain,
( not(xor(t4,or(a,t7))) != or(t4,and(sum,t1))
| or(t4,not(or(a,t7))) != not(xor(t4,or(a,t7)))
| or(t4,not(or(a,t7))) = or(t4,and(sum,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,not(or(a,t7))),not(xor(t4,or(a,t7)))) ),[1],$fot(or(t4,and(sum,t1)))]]) ).
cnf(refute_0_13330,plain,
( or(t4,not(or(a,t7))) != not(xor(t4,or(a,t7)))
| or(t4,not(or(a,t7))) = or(t4,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(not(xor(t4,or(a,t7))),or(t4,and(sum,t1))) )],[refute_0_13240,refute_0_13329]) ).
cnf(refute_0_13331,plain,
or(t4,not(or(a,t7))) = or(t4,and(sum,t1)),
inference(resolve,[$cnf( $equal(or(t4,not(or(a,t7))),not(xor(t4,or(a,t7)))) )],[refute_0_13154,refute_0_13330]) ).
cnf(refute_0_13332,plain,
or(t4,xor(t7,or(t1,t7))) = or(t4,xor(t7,or(t1,t7))),
introduced(tautology,[refl,[$fot(or(t4,xor(t7,or(t1,t7))))]]) ).
cnf(refute_0_13333,plain,
( or(t4,xor(t7,or(t1,t7))) != or(t4,xor(t7,or(t1,t7)))
| xor(t7,or(t1,t7)) != not(or(a,t7))
| or(t4,xor(t7,or(t1,t7))) = or(t4,not(or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,xor(t7,or(t1,t7))),or(t4,xor(t7,or(t1,t7)))) ),[1,1],$fot(not(or(a,t7)))]]) ).
cnf(refute_0_13334,plain,
( xor(t7,or(t1,t7)) != not(or(a,t7))
| or(t4,xor(t7,or(t1,t7))) = or(t4,not(or(a,t7))) ),
inference(resolve,[$cnf( $equal(or(t4,xor(t7,or(t1,t7))),or(t4,xor(t7,or(t1,t7)))) )],[refute_0_13332,refute_0_13333]) ).
cnf(refute_0_13335,plain,
or(t4,xor(t7,or(t1,t7))) = or(t4,not(or(a,t7))),
inference(resolve,[$cnf( $equal(xor(t7,or(t1,t7)),not(or(a,t7))) )],[refute_0_11156,refute_0_13334]) ).
cnf(refute_0_13336,plain,
( or(t4,not(or(a,t7))) != or(t4,and(sum,t1))
| or(t4,xor(t7,or(t1,t7))) != or(t4,not(or(a,t7)))
| or(t4,xor(t7,or(t1,t7))) = or(t4,and(sum,t1)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t4,xor(t7,or(t1,t7))))),bind(Y0,$fot(or(t4,not(or(a,t7))))),bind(Z0,$fot(or(t4,and(sum,t1))))]]) ).
cnf(refute_0_13337,plain,
( or(t4,not(or(a,t7))) != or(t4,and(sum,t1))
| or(t4,xor(t7,or(t1,t7))) = or(t4,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(or(t4,xor(t7,or(t1,t7))),or(t4,not(or(a,t7)))) )],[refute_0_13335,refute_0_13336]) ).
cnf(refute_0_13338,plain,
or(t4,xor(t7,or(t1,t7))) = or(t4,and(sum,t1)),
inference(resolve,[$cnf( $equal(or(t4,not(or(a,t7))),or(t4,and(sum,t1))) )],[refute_0_13331,refute_0_13337]) ).
cnf(refute_0_13339,plain,
not(or(t4,xor(t7,or(t1,t7)))) = not(or(t4,xor(t7,or(t1,t7)))),
introduced(tautology,[refl,[$fot(not(or(t4,xor(t7,or(t1,t7)))))]]) ).
cnf(refute_0_13340,plain,
( not(or(t4,xor(t7,or(t1,t7)))) != not(or(t4,xor(t7,or(t1,t7))))
| or(t4,xor(t7,or(t1,t7))) != or(t4,and(sum,t1))
| not(or(t4,xor(t7,or(t1,t7)))) = not(or(t4,and(sum,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t4,xor(t7,or(t1,t7)))),not(or(t4,xor(t7,or(t1,t7))))) ),[1,0],$fot(or(t4,and(sum,t1)))]]) ).
cnf(refute_0_13341,plain,
( or(t4,xor(t7,or(t1,t7))) != or(t4,and(sum,t1))
| not(or(t4,xor(t7,or(t1,t7)))) = not(or(t4,and(sum,t1))) ),
inference(resolve,[$cnf( $equal(not(or(t4,xor(t7,or(t1,t7)))),not(or(t4,xor(t7,or(t1,t7))))) )],[refute_0_13339,refute_0_13340]) ).
cnf(refute_0_13342,plain,
not(or(t4,xor(t7,or(t1,t7)))) = not(or(t4,and(sum,t1))),
inference(resolve,[$cnf( $equal(or(t4,xor(t7,or(t1,t7))),or(t4,and(sum,t1))) )],[refute_0_13338,refute_0_13341]) ).
cnf(refute_0_13343,plain,
( not(or(t4,xor(t7,or(t1,t7)))) != and(t5,not(and(sum,t1)))
| not(or(t4,xor(t7,or(t1,t7)))) != not(or(t4,and(sum,t1)))
| not(or(t4,and(sum,t1))) = and(t5,not(and(sum,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t4,xor(t7,or(t1,t7)))),and(t5,not(and(sum,t1)))) ),[0],$fot(not(or(t4,and(sum,t1))))]]) ).
cnf(refute_0_13344,plain,
( not(or(t4,xor(t7,or(t1,t7)))) != and(t5,not(and(sum,t1)))
| not(or(t4,and(sum,t1))) = and(t5,not(and(sum,t1))) ),
inference(resolve,[$cnf( $equal(not(or(t4,xor(t7,or(t1,t7)))),not(or(t4,and(sum,t1)))) )],[refute_0_13342,refute_0_13343]) ).
cnf(refute_0_13345,plain,
not(or(t4,and(sum,t1))) = and(t5,not(and(sum,t1))),
inference(resolve,[$cnf( $equal(not(or(t4,xor(t7,or(t1,t7)))),and(t5,not(and(sum,t1)))) )],[refute_0_13328,refute_0_13344]) ).
cnf(refute_0_13346,plain,
( not(or(t4,and(sum,t1))) != and(t5,not(and(sum,t1)))
| and(t5,not(and(sum,t1))) = not(or(t4,and(sum,t1))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(t4,and(sum,t1))))),bind(Y0,$fot(and(t5,not(and(sum,t1)))))]]) ).
cnf(refute_0_13347,plain,
and(t5,not(and(sum,t1))) = not(or(t4,and(sum,t1))),
inference(resolve,[$cnf( $equal(not(or(t4,and(sum,t1))),and(t5,not(and(sum,t1)))) )],[refute_0_13345,refute_0_13346]) ).
cnf(refute_0_13348,plain,
( and(t5,not(and(sum,t1))) != not(or(t4,and(sum,t1)))
| xor(t4,or(a,t7)) != and(t5,not(and(sum,t1)))
| xor(t4,or(a,t7)) = not(or(t4,and(sum,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,or(a,t7)),and(t5,not(and(sum,t1)))) ),[1],$fot(not(or(t4,and(sum,t1))))]]) ).
cnf(refute_0_13349,plain,
( xor(t4,or(a,t7)) != and(t5,not(and(sum,t1)))
| xor(t4,or(a,t7)) = not(or(t4,and(sum,t1))) ),
inference(resolve,[$cnf( $equal(and(t5,not(and(sum,t1))),not(or(t4,and(sum,t1)))) )],[refute_0_13347,refute_0_13348]) ).
cnf(refute_0_13350,plain,
( and(not(t4),or(a,t7)) != and(t5,not(and(sum,t1)))
| xor(t4,or(a,t7)) = not(or(t4,and(sum,t1))) ),
inference(resolve,[$cnf( $equal(xor(t4,or(a,t7)),and(t5,not(and(sum,t1)))) )],[refute_0_13302,refute_0_13349]) ).
cnf(refute_0_13351,plain,
xor(t4,or(a,t7)) = not(or(t4,and(sum,t1))),
inference(resolve,[$cnf( $equal(and(not(t4),or(a,t7)),and(t5,not(and(sum,t1)))) )],[refute_0_13300,refute_0_13350]) ).
cnf(refute_0_13352,plain,
( xor(t4,or(a,t7)) != not(or(t4,and(sum,t1)))
| not(or(t4,and(sum,t1))) = xor(t4,or(a,t7)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t4,or(a,t7)))),bind(Y0,$fot(not(or(t4,and(sum,t1)))))]]) ).
cnf(refute_0_13353,plain,
not(or(t4,and(sum,t1))) = xor(t4,or(a,t7)),
inference(resolve,[$cnf( $equal(xor(t4,or(a,t7)),not(or(t4,and(sum,t1)))) )],[refute_0_13351,refute_0_13352]) ).
cnf(refute_0_13354,plain,
( and(t3,or(or(t4,and(sum,t1)),not(a))) != xor(t3,and(a,not(or(t4,and(sum,t1)))))
| not(or(t4,and(sum,t1))) != xor(t4,or(a,t7))
| and(t3,or(or(t4,and(sum,t1)),not(a))) = xor(t3,and(a,xor(t4,or(a,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,or(or(t4,and(sum,t1)),not(a))),xor(t3,and(a,not(or(t4,and(sum,t1)))))) ),[1,1,1],$fot(xor(t4,or(a,t7)))]]) ).
cnf(refute_0_13355,plain,
( and(t3,or(or(t4,and(sum,t1)),not(a))) != xor(t3,and(a,not(or(t4,and(sum,t1)))))
| and(t3,or(or(t4,and(sum,t1)),not(a))) = xor(t3,and(a,xor(t4,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(not(or(t4,and(sum,t1))),xor(t4,or(a,t7))) )],[refute_0_13353,refute_0_13354]) ).
cnf(refute_0_13356,plain,
and(t3,or(or(t4,and(sum,t1)),not(a))) = xor(t3,and(a,xor(t4,or(a,t7)))),
inference(resolve,[$cnf( $equal(and(t3,or(or(t4,and(sum,t1)),not(a))),xor(t3,and(a,not(or(t4,and(sum,t1)))))) )],[refute_0_13296,refute_0_13355]) ).
cnf(refute_0_13357,plain,
and(t3,t1) = and(t1,t3),
inference(subst,[],[refute_0_4252:[bind(X_14,$fot(t1)),bind(X_669,$fot(t3))]]) ).
cnf(refute_0_13358,plain,
( and(t1,t3) != not(b)
| and(t3,t1) != and(t1,t3)
| and(t3,t1) = not(b) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t3,t1))),bind(Y0,$fot(and(t1,t3))),bind(Z0,$fot(not(b)))]]) ).
cnf(refute_0_13359,plain,
( and(t1,t3) != not(b)
| and(t3,t1) = not(b) ),
inference(resolve,[$cnf( $equal(and(t3,t1),and(t1,t3)) )],[refute_0_13357,refute_0_13358]) ).
cnf(refute_0_13360,plain,
and(t3,t1) = not(b),
inference(resolve,[$cnf( $equal(and(t1,t3),not(b)) )],[refute_0_3032,refute_0_13359]) ).
cnf(refute_0_13361,plain,
or(t1,and(sum,t1)) = t1,
inference(subst,[],[refute_0_222:[bind(X_13,$fot(t1)),bind(X_14,$fot(sum))]]) ).
cnf(refute_0_13362,plain,
or(or(t4,not(a)),Z) = or(t4,or(not(a),Z)),
inference(subst,[],[or_associative:[bind(X,$fot(t4)),bind(Y,$fot(not(a)))]]) ).
cnf(refute_0_13363,plain,
xor(t3,xor(t3,or(t4,not(a)))) = or(t4,not(a)),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(t3)),bind(X_335,$fot(or(t4,not(a))))]]) ).
cnf(refute_0_13364,plain,
not(xor(b,or(t1,and(a,not(t4))))) = xor(b,not(or(t1,and(a,not(t4))))),
inference(subst,[],[refute_0_1137:[bind(X_333,$fot(b)),bind(X_334,$fot(or(t1,and(a,not(t4)))))]]) ).
cnf(refute_0_13365,plain,
xor(b,xor(t1,and(a,not(t4)))) = xor(t3,and(a,not(t4))),
inference(subst,[],[refute_0_1233:[bind(X_335,$fot(and(a,not(t4))))]]) ).
cnf(refute_0_13366,plain,
not(and(or(t4,and(t1,t2)),not(t1))) = not(and(not(t1),or(t4,and(t1,t2)))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(not(t1))),bind(X_32,$fot(or(t4,and(t1,t2))))]]) ).
cnf(refute_0_13367,plain,
or(and(t1,not(or(t4,and(t1,t2)))),and(not(t1),or(t4,and(t1,t2)))) = xor(t1,or(t4,and(t1,t2))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t1)),bind(Y,$fot(or(t4,and(t1,t2))))]]) ).
cnf(refute_0_13368,plain,
and(and(X_220,t1),and(t2,xor(t1,t2))) = and(X_220,and(t1,and(t2,xor(t1,t2)))),
inference(subst,[],[and_associative:[bind(X,$fot(X_220)),bind(Y,$fot(t1)),bind(Z,$fot(and(t2,xor(t1,t2))))]]) ).
cnf(refute_0_13369,plain,
( and(and(X_220,t1),and(t2,xor(t1,t2))) != and(X_220,and(t1,and(t2,xor(t1,t2))))
| and(t1,and(t2,xor(t1,t2))) != ll0
| and(and(X_220,t1),and(t2,xor(t1,t2))) = and(X_220,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X_220,t1),and(t2,xor(t1,t2))),and(X_220,and(t1,and(t2,xor(t1,t2))))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_13370,plain,
( and(and(X_220,t1),and(t2,xor(t1,t2))) != and(X_220,and(t1,and(t2,xor(t1,t2))))
| and(and(X_220,t1),and(t2,xor(t1,t2))) = and(X_220,ll0) ),
inference(resolve,[$cnf( $equal(and(t1,and(t2,xor(t1,t2))),ll0) )],[refute_0_6561,refute_0_13369]) ).
cnf(refute_0_13371,plain,
and(and(X_220,t1),and(t2,xor(t1,t2))) = and(X_220,ll0),
inference(resolve,[$cnf( $equal(and(and(X_220,t1),and(t2,xor(t1,t2))),and(X_220,and(t1,and(t2,xor(t1,t2))))) )],[refute_0_13368,refute_0_13370]) ).
cnf(refute_0_13372,plain,
and(and(X_220,t1),xor(t1,t2)) = and(X_220,and(t1,xor(t1,t2))),
inference(subst,[],[and_associative:[bind(X,$fot(X_220)),bind(Y,$fot(t1)),bind(Z,$fot(xor(t1,t2)))]]) ).
cnf(refute_0_13373,plain,
and(t2,and(and(X_220,t1),xor(t1,t2))) = and(t2,and(and(X_220,t1),xor(t1,t2))),
introduced(tautology,[refl,[$fot(and(t2,and(and(X_220,t1),xor(t1,t2))))]]) ).
cnf(refute_0_13374,plain,
( and(and(X_220,t1),xor(t1,t2)) != and(X_220,and(t1,xor(t1,t2)))
| and(t2,and(and(X_220,t1),xor(t1,t2))) != and(t2,and(and(X_220,t1),xor(t1,t2)))
| and(t2,and(and(X_220,t1),xor(t1,t2))) = and(t2,and(X_220,and(t1,xor(t1,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,and(and(X_220,t1),xor(t1,t2))),and(t2,and(and(X_220,t1),xor(t1,t2)))) ),[1,1],$fot(and(X_220,and(t1,xor(t1,t2))))]]) ).
cnf(refute_0_13375,plain,
( and(and(X_220,t1),xor(t1,t2)) != and(X_220,and(t1,xor(t1,t2)))
| and(t2,and(and(X_220,t1),xor(t1,t2))) = and(t2,and(X_220,and(t1,xor(t1,t2)))) ),
inference(resolve,[$cnf( $equal(and(t2,and(and(X_220,t1),xor(t1,t2))),and(t2,and(and(X_220,t1),xor(t1,t2)))) )],[refute_0_13373,refute_0_13374]) ).
cnf(refute_0_13376,plain,
and(t2,and(and(X_220,t1),xor(t1,t2))) = and(t2,and(X_220,and(t1,xor(t1,t2)))),
inference(resolve,[$cnf( $equal(and(and(X_220,t1),xor(t1,t2)),and(X_220,and(t1,xor(t1,t2)))) )],[refute_0_13372,refute_0_13375]) ).
cnf(refute_0_13377,plain,
and(and(X_220,t1),and(t2,xor(t1,t2))) = and(t2,and(and(X_220,t1),xor(t1,t2))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(and(X_220,t1))),bind(X_221,$fot(t2)),bind(X_222,$fot(xor(t1,t2)))]]) ).
cnf(refute_0_13378,plain,
( and(and(X_220,t1),and(t2,xor(t1,t2))) != and(t2,and(and(X_220,t1),xor(t1,t2)))
| and(t2,and(and(X_220,t1),xor(t1,t2))) != and(t2,and(X_220,and(t1,xor(t1,t2))))
| and(and(X_220,t1),and(t2,xor(t1,t2))) = and(t2,and(X_220,and(t1,xor(t1,t2)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(X_220,t1),and(t2,xor(t1,t2))))),bind(Y0,$fot(and(t2,and(and(X_220,t1),xor(t1,t2))))),bind(Z0,$fot(and(t2,and(X_220,and(t1,xor(t1,t2))))))]]) ).
cnf(refute_0_13379,plain,
( and(t2,and(and(X_220,t1),xor(t1,t2))) != and(t2,and(X_220,and(t1,xor(t1,t2))))
| and(and(X_220,t1),and(t2,xor(t1,t2))) = and(t2,and(X_220,and(t1,xor(t1,t2)))) ),
inference(resolve,[$cnf( $equal(and(and(X_220,t1),and(t2,xor(t1,t2))),and(t2,and(and(X_220,t1),xor(t1,t2)))) )],[refute_0_13377,refute_0_13378]) ).
cnf(refute_0_13380,plain,
and(and(X_220,t1),and(t2,xor(t1,t2))) = and(t2,and(X_220,and(t1,xor(t1,t2)))),
inference(resolve,[$cnf( $equal(and(t2,and(and(X_220,t1),xor(t1,t2))),and(t2,and(X_220,and(t1,xor(t1,t2))))) )],[refute_0_13376,refute_0_13379]) ).
cnf(refute_0_13381,plain,
( and(and(X_220,t1),and(t2,xor(t1,t2))) != and(X_220,ll0)
| and(and(X_220,t1),and(t2,xor(t1,t2))) != and(t2,and(X_220,and(t1,xor(t1,t2))))
| and(t2,and(X_220,and(t1,xor(t1,t2)))) = and(X_220,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X_220,t1),and(t2,xor(t1,t2))),and(X_220,ll0)) ),[0],$fot(and(t2,and(X_220,and(t1,xor(t1,t2)))))]]) ).
cnf(refute_0_13382,plain,
( and(and(X_220,t1),and(t2,xor(t1,t2))) != and(X_220,ll0)
| and(t2,and(X_220,and(t1,xor(t1,t2)))) = and(X_220,ll0) ),
inference(resolve,[$cnf( $equal(and(and(X_220,t1),and(t2,xor(t1,t2))),and(t2,and(X_220,and(t1,xor(t1,t2))))) )],[refute_0_13380,refute_0_13381]) ).
cnf(refute_0_13383,plain,
( and(X_220,ll0) != ll0
| and(t2,and(X_220,and(t1,xor(t1,t2)))) != and(X_220,ll0)
| and(t2,and(X_220,and(t1,xor(t1,t2)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,and(X_220,and(t1,xor(t1,t2)))),and(X_220,ll0)) ),[1],$fot(ll0)]]) ).
cnf(refute_0_13384,plain,
( and(t2,and(X_220,and(t1,xor(t1,t2)))) != and(X_220,ll0)
| and(t2,and(X_220,and(t1,xor(t1,t2)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(X_220,ll0),ll0) )],[refute_0_3381,refute_0_13383]) ).
cnf(refute_0_13385,plain,
( and(and(X_220,t1),and(t2,xor(t1,t2))) != and(X_220,ll0)
| and(t2,and(X_220,and(t1,xor(t1,t2)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(t2,and(X_220,and(t1,xor(t1,t2)))),and(X_220,ll0)) )],[refute_0_13382,refute_0_13384]) ).
cnf(refute_0_13386,plain,
and(t2,and(X_220,and(t1,xor(t1,t2)))) = ll0,
inference(resolve,[$cnf( $equal(and(and(X_220,t1),and(t2,xor(t1,t2))),and(X_220,ll0)) )],[refute_0_13371,refute_0_13385]) ).
cnf(refute_0_13387,plain,
and(t2,and(t3,and(t1,xor(t1,t2)))) = ll0,
inference(subst,[],[refute_0_13386:[bind(X_220,$fot(t3))]]) ).
cnf(refute_0_13388,plain,
and(not(t4),and(t1,xor(t1,t2))) = and(t2,and(t3,and(t1,xor(t1,t2)))),
inference(subst,[],[refute_0_611:[bind(X_222,$fot(and(t1,xor(t1,t2))))]]) ).
cnf(refute_0_13389,plain,
( and(not(t4),and(t1,xor(t1,t2))) != and(t2,and(t3,and(t1,xor(t1,t2))))
| and(t2,and(t3,and(t1,xor(t1,t2)))) = and(not(t4),and(t1,xor(t1,t2))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t4),and(t1,xor(t1,t2))))),bind(Y0,$fot(and(t2,and(t3,and(t1,xor(t1,t2))))))]]) ).
cnf(refute_0_13390,plain,
and(t2,and(t3,and(t1,xor(t1,t2)))) = and(not(t4),and(t1,xor(t1,t2))),
inference(resolve,[$cnf( $equal(and(not(t4),and(t1,xor(t1,t2))),and(t2,and(t3,and(t1,xor(t1,t2))))) )],[refute_0_13388,refute_0_13389]) ).
cnf(refute_0_13391,plain,
( and(t2,and(t3,and(t1,xor(t1,t2)))) != and(not(t4),and(t1,xor(t1,t2)))
| and(t2,and(t3,and(t1,xor(t1,t2)))) != ll0
| and(not(t4),and(t1,xor(t1,t2))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,and(t3,and(t1,xor(t1,t2)))),ll0) ),[0],$fot(and(not(t4),and(t1,xor(t1,t2))))]]) ).
cnf(refute_0_13392,plain,
( and(t2,and(t3,and(t1,xor(t1,t2)))) != ll0
| and(not(t4),and(t1,xor(t1,t2))) = ll0 ),
inference(resolve,[$cnf( $equal(and(t2,and(t3,and(t1,xor(t1,t2)))),and(not(t4),and(t1,xor(t1,t2)))) )],[refute_0_13390,refute_0_13391]) ).
cnf(refute_0_13393,plain,
and(not(t4),and(t1,xor(t1,t2))) = ll0,
inference(resolve,[$cnf( $equal(and(t2,and(t3,and(t1,xor(t1,t2)))),ll0) )],[refute_0_13387,refute_0_13392]) ).
cnf(refute_0_13394,plain,
and(not(t4),xor(t1,t2)) = not(or(t4,and(t1,t2))),
inference(subst,[],[refute_0_6604:[bind(X,$fot(t4))]]) ).
cnf(refute_0_13395,plain,
and(t1,and(not(t4),xor(t1,t2))) = and(t1,and(not(t4),xor(t1,t2))),
introduced(tautology,[refl,[$fot(and(t1,and(not(t4),xor(t1,t2))))]]) ).
cnf(refute_0_13396,plain,
( and(not(t4),xor(t1,t2)) != not(or(t4,and(t1,t2)))
| and(t1,and(not(t4),xor(t1,t2))) != and(t1,and(not(t4),xor(t1,t2)))
| and(t1,and(not(t4),xor(t1,t2))) = and(t1,not(or(t4,and(t1,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,and(not(t4),xor(t1,t2))),and(t1,and(not(t4),xor(t1,t2)))) ),[1,1],$fot(not(or(t4,and(t1,t2))))]]) ).
cnf(refute_0_13397,plain,
( and(not(t4),xor(t1,t2)) != not(or(t4,and(t1,t2)))
| and(t1,and(not(t4),xor(t1,t2))) = and(t1,not(or(t4,and(t1,t2)))) ),
inference(resolve,[$cnf( $equal(and(t1,and(not(t4),xor(t1,t2))),and(t1,and(not(t4),xor(t1,t2)))) )],[refute_0_13395,refute_0_13396]) ).
cnf(refute_0_13398,plain,
and(t1,and(not(t4),xor(t1,t2))) = and(t1,not(or(t4,and(t1,t2)))),
inference(resolve,[$cnf( $equal(and(not(t4),xor(t1,t2)),not(or(t4,and(t1,t2)))) )],[refute_0_13394,refute_0_13397]) ).
cnf(refute_0_13399,plain,
and(not(t4),and(t1,xor(t1,t2))) = and(t1,and(not(t4),xor(t1,t2))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(t4))),bind(X_221,$fot(t1)),bind(X_222,$fot(xor(t1,t2)))]]) ).
cnf(refute_0_13400,plain,
( and(not(t4),and(t1,xor(t1,t2))) != and(t1,and(not(t4),xor(t1,t2)))
| and(t1,and(not(t4),xor(t1,t2))) != and(t1,not(or(t4,and(t1,t2))))
| and(not(t4),and(t1,xor(t1,t2))) = and(t1,not(or(t4,and(t1,t2)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t4),and(t1,xor(t1,t2))))),bind(Y0,$fot(and(t1,and(not(t4),xor(t1,t2))))),bind(Z0,$fot(and(t1,not(or(t4,and(t1,t2))))))]]) ).
cnf(refute_0_13401,plain,
( and(t1,and(not(t4),xor(t1,t2))) != and(t1,not(or(t4,and(t1,t2))))
| and(not(t4),and(t1,xor(t1,t2))) = and(t1,not(or(t4,and(t1,t2)))) ),
inference(resolve,[$cnf( $equal(and(not(t4),and(t1,xor(t1,t2))),and(t1,and(not(t4),xor(t1,t2)))) )],[refute_0_13399,refute_0_13400]) ).
cnf(refute_0_13402,plain,
and(not(t4),and(t1,xor(t1,t2))) = and(t1,not(or(t4,and(t1,t2)))),
inference(resolve,[$cnf( $equal(and(t1,and(not(t4),xor(t1,t2))),and(t1,not(or(t4,and(t1,t2))))) )],[refute_0_13398,refute_0_13401]) ).
cnf(refute_0_13403,plain,
( and(not(t4),and(t1,xor(t1,t2))) != and(t1,not(or(t4,and(t1,t2))))
| and(not(t4),and(t1,xor(t1,t2))) != ll0
| and(t1,not(or(t4,and(t1,t2)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),and(t1,xor(t1,t2))),ll0) ),[0],$fot(and(t1,not(or(t4,and(t1,t2)))))]]) ).
cnf(refute_0_13404,plain,
( and(not(t4),and(t1,xor(t1,t2))) != ll0
| and(t1,not(or(t4,and(t1,t2)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(not(t4),and(t1,xor(t1,t2))),and(t1,not(or(t4,and(t1,t2))))) )],[refute_0_13402,refute_0_13403]) ).
cnf(refute_0_13405,plain,
and(t1,not(or(t4,and(t1,t2)))) = ll0,
inference(resolve,[$cnf( $equal(and(not(t4),and(t1,xor(t1,t2))),ll0) )],[refute_0_13393,refute_0_13404]) ).
cnf(refute_0_13406,plain,
( and(t1,not(or(t4,and(t1,t2)))) != ll0
| or(and(t1,not(or(t4,and(t1,t2)))),and(not(t1),or(t4,and(t1,t2)))) != xor(t1,or(t4,and(t1,t2)))
| or(ll0,and(not(t1),or(t4,and(t1,t2)))) = xor(t1,or(t4,and(t1,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t1,not(or(t4,and(t1,t2)))),and(not(t1),or(t4,and(t1,t2)))),xor(t1,or(t4,and(t1,t2)))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_13407,plain,
( or(and(t1,not(or(t4,and(t1,t2)))),and(not(t1),or(t4,and(t1,t2)))) != xor(t1,or(t4,and(t1,t2)))
| or(ll0,and(not(t1),or(t4,and(t1,t2)))) = xor(t1,or(t4,and(t1,t2))) ),
inference(resolve,[$cnf( $equal(and(t1,not(or(t4,and(t1,t2)))),ll0) )],[refute_0_13405,refute_0_13406]) ).
cnf(refute_0_13408,plain,
or(ll0,and(not(t1),or(t4,and(t1,t2)))) = xor(t1,or(t4,and(t1,t2))),
inference(resolve,[$cnf( $equal(or(and(t1,not(or(t4,and(t1,t2)))),and(not(t1),or(t4,and(t1,t2)))),xor(t1,or(t4,and(t1,t2)))) )],[refute_0_13367,refute_0_13407]) ).
cnf(refute_0_13409,plain,
or(ll0,and(not(t1),or(t4,and(t1,t2)))) = and(not(t1),or(t4,and(t1,t2))),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(t1),or(t4,and(t1,t2)))))]]) ).
cnf(refute_0_13410,plain,
( or(ll0,and(not(t1),or(t4,and(t1,t2)))) != and(not(t1),or(t4,and(t1,t2)))
| or(ll0,and(not(t1),or(t4,and(t1,t2)))) != xor(t1,or(t4,and(t1,t2)))
| and(not(t1),or(t4,and(t1,t2))) = xor(t1,or(t4,and(t1,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(t1),or(t4,and(t1,t2)))),xor(t1,or(t4,and(t1,t2)))) ),[0],$fot(and(not(t1),or(t4,and(t1,t2))))]]) ).
cnf(refute_0_13411,plain,
( or(ll0,and(not(t1),or(t4,and(t1,t2)))) != xor(t1,or(t4,and(t1,t2)))
| and(not(t1),or(t4,and(t1,t2))) = xor(t1,or(t4,and(t1,t2))) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t1),or(t4,and(t1,t2)))),and(not(t1),or(t4,and(t1,t2)))) )],[refute_0_13409,refute_0_13410]) ).
cnf(refute_0_13412,plain,
and(not(t1),or(t4,and(t1,t2))) = xor(t1,or(t4,and(t1,t2))),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t1),or(t4,and(t1,t2)))),xor(t1,or(t4,and(t1,t2)))) )],[refute_0_13408,refute_0_13411]) ).
cnf(refute_0_13413,plain,
( and(not(t1),or(t4,and(t1,t2))) != xor(t1,or(t4,and(t1,t2)))
| not(and(or(t4,and(t1,t2)),not(t1))) != not(and(not(t1),or(t4,and(t1,t2))))
| not(and(or(t4,and(t1,t2)),not(t1))) = not(xor(t1,or(t4,and(t1,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(t4,and(t1,t2)),not(t1))),not(and(not(t1),or(t4,and(t1,t2))))) ),[1,0],$fot(xor(t1,or(t4,and(t1,t2))))]]) ).
cnf(refute_0_13414,plain,
( not(and(or(t4,and(t1,t2)),not(t1))) != not(and(not(t1),or(t4,and(t1,t2))))
| not(and(or(t4,and(t1,t2)),not(t1))) = not(xor(t1,or(t4,and(t1,t2)))) ),
inference(resolve,[$cnf( $equal(and(not(t1),or(t4,and(t1,t2))),xor(t1,or(t4,and(t1,t2)))) )],[refute_0_13412,refute_0_13413]) ).
cnf(refute_0_13415,plain,
not(and(or(t4,and(t1,t2)),not(t1))) = not(xor(t1,or(t4,and(t1,t2)))),
inference(resolve,[$cnf( $equal(not(and(or(t4,and(t1,t2)),not(t1))),not(and(not(t1),or(t4,and(t1,t2))))) )],[refute_0_13366,refute_0_13414]) ).
cnf(refute_0_13416,plain,
not(and(not(t1),or(t4,and(t1,t2)))) = or(t1,not(or(t4,and(t1,t2)))),
inference(subst,[],[refute_0_787:[bind(X,$fot(t1)),bind(X_32,$fot(or(t4,and(t1,t2))))]]) ).
cnf(refute_0_13417,plain,
( not(and(not(t1),or(t4,and(t1,t2)))) != or(t1,not(or(t4,and(t1,t2))))
| not(and(or(t4,and(t1,t2)),not(t1))) != not(and(not(t1),or(t4,and(t1,t2))))
| not(and(or(t4,and(t1,t2)),not(t1))) = or(t1,not(or(t4,and(t1,t2)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(or(t4,and(t1,t2)),not(t1))))),bind(Y0,$fot(not(and(not(t1),or(t4,and(t1,t2)))))),bind(Z0,$fot(or(t1,not(or(t4,and(t1,t2))))))]]) ).
cnf(refute_0_13418,plain,
( not(and(not(t1),or(t4,and(t1,t2)))) != or(t1,not(or(t4,and(t1,t2))))
| not(and(or(t4,and(t1,t2)),not(t1))) = or(t1,not(or(t4,and(t1,t2)))) ),
inference(resolve,[$cnf( $equal(not(and(or(t4,and(t1,t2)),not(t1))),not(and(not(t1),or(t4,and(t1,t2))))) )],[refute_0_13366,refute_0_13417]) ).
cnf(refute_0_13419,plain,
not(and(or(t4,and(t1,t2)),not(t1))) = or(t1,not(or(t4,and(t1,t2)))),
inference(resolve,[$cnf( $equal(not(and(not(t1),or(t4,and(t1,t2)))),or(t1,not(or(t4,and(t1,t2))))) )],[refute_0_13416,refute_0_13418]) ).
cnf(refute_0_13420,plain,
( not(and(or(t4,and(t1,t2)),not(t1))) != not(xor(t1,or(t4,and(t1,t2))))
| not(and(or(t4,and(t1,t2)),not(t1))) != or(t1,not(or(t4,and(t1,t2))))
| or(t1,not(or(t4,and(t1,t2)))) = not(xor(t1,or(t4,and(t1,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(t4,and(t1,t2)),not(t1))),not(xor(t1,or(t4,and(t1,t2))))) ),[0],$fot(or(t1,not(or(t4,and(t1,t2)))))]]) ).
cnf(refute_0_13421,plain,
( not(and(or(t4,and(t1,t2)),not(t1))) != not(xor(t1,or(t4,and(t1,t2))))
| or(t1,not(or(t4,and(t1,t2)))) = not(xor(t1,or(t4,and(t1,t2)))) ),
inference(resolve,[$cnf( $equal(not(and(or(t4,and(t1,t2)),not(t1))),or(t1,not(or(t4,and(t1,t2))))) )],[refute_0_13419,refute_0_13420]) ).
cnf(refute_0_13422,plain,
or(t1,not(or(t4,and(t1,t2)))) = not(xor(t1,or(t4,and(t1,t2)))),
inference(resolve,[$cnf( $equal(not(and(or(t4,and(t1,t2)),not(t1))),not(xor(t1,or(t4,and(t1,t2))))) )],[refute_0_13415,refute_0_13421]) ).
cnf(refute_0_13423,plain,
and(not(t4),a) = and(a,not(t4)),
inference(subst,[],[refute_0_116:[bind(X,$fot(a)),bind(Y,$fot(not(t4)))]]) ).
cnf(refute_0_13424,plain,
not(or(t4,not(a))) = and(not(t4),a),
inference(subst,[],[refute_0_801:[bind(X,$fot(a)),bind(X_25,$fot(t4))]]) ).
cnf(refute_0_13425,plain,
( and(not(t4),a) != and(a,not(t4))
| not(or(t4,not(a))) != and(not(t4),a)
| not(or(t4,not(a))) = and(a,not(t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(t4,not(a))))),bind(Y0,$fot(and(not(t4),a))),bind(Z0,$fot(and(a,not(t4))))]]) ).
cnf(refute_0_13426,plain,
( and(not(t4),a) != and(a,not(t4))
| not(or(t4,not(a))) = and(a,not(t4)) ),
inference(resolve,[$cnf( $equal(not(or(t4,not(a))),and(not(t4),a)) )],[refute_0_13424,refute_0_13425]) ).
cnf(refute_0_13427,plain,
not(or(t4,not(a))) = and(a,not(t4)),
inference(resolve,[$cnf( $equal(and(not(t4),a),and(a,not(t4))) )],[refute_0_13423,refute_0_13426]) ).
cnf(refute_0_13428,plain,
or(t4,and(t1,t2)) = or(t4,and(t1,t2)),
introduced(tautology,[refl,[$fot(or(t4,and(t1,t2)))]]) ).
cnf(refute_0_13429,plain,
( and(t1,t2) != not(a)
| or(t4,and(t1,t2)) != or(t4,and(t1,t2))
| or(t4,and(t1,t2)) = or(t4,not(a)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,and(t1,t2)),or(t4,and(t1,t2))) ),[1,1],$fot(not(a))]]) ).
cnf(refute_0_13430,plain,
( and(t1,t2) != not(a)
| or(t4,and(t1,t2)) = or(t4,not(a)) ),
inference(resolve,[$cnf( $equal(or(t4,and(t1,t2)),or(t4,and(t1,t2))) )],[refute_0_13428,refute_0_13429]) ).
cnf(refute_0_13431,plain,
or(t4,and(t1,t2)) = or(t4,not(a)),
inference(resolve,[$cnf( $equal(and(t1,t2),not(a)) )],[refute_0_597,refute_0_13430]) ).
cnf(refute_0_13432,plain,
not(or(t4,and(t1,t2))) = not(or(t4,and(t1,t2))),
introduced(tautology,[refl,[$fot(not(or(t4,and(t1,t2))))]]) ).
cnf(refute_0_13433,plain,
( not(or(t4,and(t1,t2))) != not(or(t4,and(t1,t2)))
| or(t4,and(t1,t2)) != or(t4,not(a))
| not(or(t4,and(t1,t2))) = not(or(t4,not(a))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t4,and(t1,t2))),not(or(t4,and(t1,t2)))) ),[1,0],$fot(or(t4,not(a)))]]) ).
cnf(refute_0_13434,plain,
( or(t4,and(t1,t2)) != or(t4,not(a))
| not(or(t4,and(t1,t2))) = not(or(t4,not(a))) ),
inference(resolve,[$cnf( $equal(not(or(t4,and(t1,t2))),not(or(t4,and(t1,t2)))) )],[refute_0_13432,refute_0_13433]) ).
cnf(refute_0_13435,plain,
not(or(t4,and(t1,t2))) = not(or(t4,not(a))),
inference(resolve,[$cnf( $equal(or(t4,and(t1,t2)),or(t4,not(a))) )],[refute_0_13431,refute_0_13434]) ).
cnf(refute_0_13436,plain,
( not(or(t4,and(t1,t2))) != not(or(t4,not(a)))
| not(or(t4,not(a))) != and(a,not(t4))
| not(or(t4,and(t1,t2))) = and(a,not(t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(t4,and(t1,t2))))),bind(Y0,$fot(not(or(t4,not(a))))),bind(Z0,$fot(and(a,not(t4))))]]) ).
cnf(refute_0_13437,plain,
( not(or(t4,not(a))) != and(a,not(t4))
| not(or(t4,and(t1,t2))) = and(a,not(t4)) ),
inference(resolve,[$cnf( $equal(not(or(t4,and(t1,t2))),not(or(t4,not(a)))) )],[refute_0_13435,refute_0_13436]) ).
cnf(refute_0_13438,plain,
not(or(t4,and(t1,t2))) = and(a,not(t4)),
inference(resolve,[$cnf( $equal(not(or(t4,not(a))),and(a,not(t4))) )],[refute_0_13427,refute_0_13437]) ).
cnf(refute_0_13439,plain,
or(t1,not(or(t4,and(t1,t2)))) = or(t1,not(or(t4,and(t1,t2)))),
introduced(tautology,[refl,[$fot(or(t1,not(or(t4,and(t1,t2)))))]]) ).
cnf(refute_0_13440,plain,
( not(or(t4,and(t1,t2))) != and(a,not(t4))
| or(t1,not(or(t4,and(t1,t2)))) != or(t1,not(or(t4,and(t1,t2))))
| or(t1,not(or(t4,and(t1,t2)))) = or(t1,and(a,not(t4))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,not(or(t4,and(t1,t2)))),or(t1,not(or(t4,and(t1,t2))))) ),[1,1],$fot(and(a,not(t4)))]]) ).
cnf(refute_0_13441,plain,
( not(or(t4,and(t1,t2))) != and(a,not(t4))
| or(t1,not(or(t4,and(t1,t2)))) = or(t1,and(a,not(t4))) ),
inference(resolve,[$cnf( $equal(or(t1,not(or(t4,and(t1,t2)))),or(t1,not(or(t4,and(t1,t2))))) )],[refute_0_13439,refute_0_13440]) ).
cnf(refute_0_13442,plain,
or(t1,not(or(t4,and(t1,t2)))) = or(t1,and(a,not(t4))),
inference(resolve,[$cnf( $equal(not(or(t4,and(t1,t2))),and(a,not(t4))) )],[refute_0_13438,refute_0_13441]) ).
cnf(refute_0_13443,plain,
( or(t1,not(or(t4,and(t1,t2)))) != not(xor(t1,or(t4,and(t1,t2))))
| or(t1,not(or(t4,and(t1,t2)))) != or(t1,and(a,not(t4)))
| or(t1,and(a,not(t4))) = not(xor(t1,or(t4,and(t1,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,not(or(t4,and(t1,t2)))),not(xor(t1,or(t4,and(t1,t2))))) ),[0],$fot(or(t1,and(a,not(t4))))]]) ).
cnf(refute_0_13444,plain,
( or(t1,not(or(t4,and(t1,t2)))) != not(xor(t1,or(t4,and(t1,t2))))
| or(t1,and(a,not(t4))) = not(xor(t1,or(t4,and(t1,t2)))) ),
inference(resolve,[$cnf( $equal(or(t1,not(or(t4,and(t1,t2)))),or(t1,and(a,not(t4)))) )],[refute_0_13442,refute_0_13443]) ).
cnf(refute_0_13445,plain,
xor(t1,or(t4,and(t1,t2))) = xor(t1,or(t4,and(t1,t2))),
introduced(tautology,[refl,[$fot(xor(t1,or(t4,and(t1,t2))))]]) ).
cnf(refute_0_13446,plain,
( or(t4,and(t1,t2)) != or(t4,not(a))
| xor(t1,or(t4,and(t1,t2))) != xor(t1,or(t4,and(t1,t2)))
| xor(t1,or(t4,and(t1,t2))) = xor(t1,or(t4,not(a))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,or(t4,and(t1,t2))),xor(t1,or(t4,and(t1,t2)))) ),[1,1],$fot(or(t4,not(a)))]]) ).
cnf(refute_0_13447,plain,
( or(t4,and(t1,t2)) != or(t4,not(a))
| xor(t1,or(t4,and(t1,t2))) = xor(t1,or(t4,not(a))) ),
inference(resolve,[$cnf( $equal(xor(t1,or(t4,and(t1,t2))),xor(t1,or(t4,and(t1,t2)))) )],[refute_0_13445,refute_0_13446]) ).
cnf(refute_0_13448,plain,
xor(t1,or(t4,and(t1,t2))) = xor(t1,or(t4,not(a))),
inference(resolve,[$cnf( $equal(or(t4,and(t1,t2)),or(t4,not(a))) )],[refute_0_13431,refute_0_13447]) ).
cnf(refute_0_13449,plain,
not(xor(t1,or(t4,and(t1,t2)))) = not(xor(t1,or(t4,and(t1,t2)))),
introduced(tautology,[refl,[$fot(not(xor(t1,or(t4,and(t1,t2)))))]]) ).
cnf(refute_0_13450,plain,
( not(xor(t1,or(t4,and(t1,t2)))) != not(xor(t1,or(t4,and(t1,t2))))
| xor(t1,or(t4,and(t1,t2))) != xor(t1,or(t4,not(a)))
| not(xor(t1,or(t4,and(t1,t2)))) = not(xor(t1,or(t4,not(a)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t1,or(t4,and(t1,t2)))),not(xor(t1,or(t4,and(t1,t2))))) ),[1,0],$fot(xor(t1,or(t4,not(a))))]]) ).
cnf(refute_0_13451,plain,
( xor(t1,or(t4,and(t1,t2))) != xor(t1,or(t4,not(a)))
| not(xor(t1,or(t4,and(t1,t2)))) = not(xor(t1,or(t4,not(a)))) ),
inference(resolve,[$cnf( $equal(not(xor(t1,or(t4,and(t1,t2)))),not(xor(t1,or(t4,and(t1,t2))))) )],[refute_0_13449,refute_0_13450]) ).
cnf(refute_0_13452,plain,
not(xor(t1,or(t4,and(t1,t2)))) = not(xor(t1,or(t4,not(a)))),
inference(resolve,[$cnf( $equal(xor(t1,or(t4,and(t1,t2))),xor(t1,or(t4,not(a)))) )],[refute_0_13448,refute_0_13451]) ).
cnf(refute_0_13453,plain,
( not(xor(t1,or(t4,and(t1,t2)))) != not(xor(t1,or(t4,not(a))))
| or(t1,and(a,not(t4))) != not(xor(t1,or(t4,and(t1,t2))))
| or(t1,and(a,not(t4))) = not(xor(t1,or(t4,not(a)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,and(a,not(t4))),not(xor(t1,or(t4,and(t1,t2))))) ),[1],$fot(not(xor(t1,or(t4,not(a)))))]]) ).
cnf(refute_0_13454,plain,
( or(t1,and(a,not(t4))) != not(xor(t1,or(t4,and(t1,t2))))
| or(t1,and(a,not(t4))) = not(xor(t1,or(t4,not(a)))) ),
inference(resolve,[$cnf( $equal(not(xor(t1,or(t4,and(t1,t2)))),not(xor(t1,or(t4,not(a))))) )],[refute_0_13452,refute_0_13453]) ).
cnf(refute_0_13455,plain,
( or(t1,not(or(t4,and(t1,t2)))) != not(xor(t1,or(t4,and(t1,t2))))
| or(t1,and(a,not(t4))) = not(xor(t1,or(t4,not(a)))) ),
inference(resolve,[$cnf( $equal(or(t1,and(a,not(t4))),not(xor(t1,or(t4,and(t1,t2))))) )],[refute_0_13444,refute_0_13454]) ).
cnf(refute_0_13456,plain,
or(t1,and(a,not(t4))) = not(xor(t1,or(t4,not(a)))),
inference(resolve,[$cnf( $equal(or(t1,not(or(t4,and(t1,t2)))),not(xor(t1,or(t4,and(t1,t2))))) )],[refute_0_13422,refute_0_13455]) ).
cnf(refute_0_13457,plain,
xor(t1,and(not(t4),a)) = xor(t1,and(not(t4),a)),
introduced(tautology,[refl,[$fot(xor(t1,and(not(t4),a)))]]) ).
cnf(refute_0_13458,plain,
( and(not(t4),a) != and(a,not(t4))
| xor(t1,and(not(t4),a)) != xor(t1,and(not(t4),a))
| xor(t1,and(not(t4),a)) = xor(t1,and(a,not(t4))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,and(not(t4),a)),xor(t1,and(not(t4),a))) ),[1,1],$fot(and(a,not(t4)))]]) ).
cnf(refute_0_13459,plain,
( and(not(t4),a) != and(a,not(t4))
| xor(t1,and(not(t4),a)) = xor(t1,and(a,not(t4))) ),
inference(resolve,[$cnf( $equal(xor(t1,and(not(t4),a)),xor(t1,and(not(t4),a))) )],[refute_0_13457,refute_0_13458]) ).
cnf(refute_0_13460,plain,
xor(t1,and(not(t4),a)) = xor(t1,and(a,not(t4))),
inference(resolve,[$cnf( $equal(and(not(t4),a),and(a,not(t4))) )],[refute_0_13423,refute_0_13459]) ).
cnf(refute_0_13461,plain,
not(xor(t1,or(t4,not(a)))) = xor(t1,and(not(t4),a)),
inference(subst,[],[refute_0_7796:[bind(X,$fot(a)),bind(X_25,$fot(t4)),bind(X_377,$fot(t1))]]) ).
cnf(refute_0_13462,plain,
( not(xor(t1,or(t4,not(a)))) != xor(t1,and(not(t4),a))
| xor(t1,and(not(t4),a)) != xor(t1,and(a,not(t4)))
| not(xor(t1,or(t4,not(a)))) = xor(t1,and(a,not(t4))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t1,or(t4,not(a)))))),bind(Y0,$fot(xor(t1,and(not(t4),a)))),bind(Z0,$fot(xor(t1,and(a,not(t4)))))]]) ).
cnf(refute_0_13463,plain,
( xor(t1,and(not(t4),a)) != xor(t1,and(a,not(t4)))
| not(xor(t1,or(t4,not(a)))) = xor(t1,and(a,not(t4))) ),
inference(resolve,[$cnf( $equal(not(xor(t1,or(t4,not(a)))),xor(t1,and(not(t4),a))) )],[refute_0_13461,refute_0_13462]) ).
cnf(refute_0_13464,plain,
not(xor(t1,or(t4,not(a)))) = xor(t1,and(a,not(t4))),
inference(resolve,[$cnf( $equal(xor(t1,and(not(t4),a)),xor(t1,and(a,not(t4)))) )],[refute_0_13460,refute_0_13463]) ).
cnf(refute_0_13465,plain,
( not(xor(t1,or(t4,not(a)))) != xor(t1,and(a,not(t4)))
| or(t1,and(a,not(t4))) != not(xor(t1,or(t4,not(a))))
| or(t1,and(a,not(t4))) = xor(t1,and(a,not(t4))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,and(a,not(t4))),not(xor(t1,or(t4,not(a))))) ),[1],$fot(xor(t1,and(a,not(t4))))]]) ).
cnf(refute_0_13466,plain,
( or(t1,and(a,not(t4))) != not(xor(t1,or(t4,not(a))))
| or(t1,and(a,not(t4))) = xor(t1,and(a,not(t4))) ),
inference(resolve,[$cnf( $equal(not(xor(t1,or(t4,not(a)))),xor(t1,and(a,not(t4)))) )],[refute_0_13464,refute_0_13465]) ).
cnf(refute_0_13467,plain,
or(t1,and(a,not(t4))) = xor(t1,and(a,not(t4))),
inference(resolve,[$cnf( $equal(or(t1,and(a,not(t4))),not(xor(t1,or(t4,not(a))))) )],[refute_0_13456,refute_0_13466]) ).
cnf(refute_0_13468,plain,
( or(t1,and(a,not(t4))) != xor(t1,and(a,not(t4)))
| xor(t1,and(a,not(t4))) = or(t1,and(a,not(t4))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(t1,and(a,not(t4))))),bind(Y0,$fot(xor(t1,and(a,not(t4)))))]]) ).
cnf(refute_0_13469,plain,
xor(t1,and(a,not(t4))) = or(t1,and(a,not(t4))),
inference(resolve,[$cnf( $equal(or(t1,and(a,not(t4))),xor(t1,and(a,not(t4)))) )],[refute_0_13467,refute_0_13468]) ).
cnf(refute_0_13470,plain,
( xor(b,xor(t1,and(a,not(t4)))) != xor(t3,and(a,not(t4)))
| xor(t1,and(a,not(t4))) != or(t1,and(a,not(t4)))
| xor(b,or(t1,and(a,not(t4)))) = xor(t3,and(a,not(t4))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,xor(t1,and(a,not(t4)))),xor(t3,and(a,not(t4)))) ),[0,1],$fot(or(t1,and(a,not(t4))))]]) ).
cnf(refute_0_13471,plain,
( xor(b,xor(t1,and(a,not(t4)))) != xor(t3,and(a,not(t4)))
| xor(b,or(t1,and(a,not(t4)))) = xor(t3,and(a,not(t4))) ),
inference(resolve,[$cnf( $equal(xor(t1,and(a,not(t4))),or(t1,and(a,not(t4)))) )],[refute_0_13469,refute_0_13470]) ).
cnf(refute_0_13472,plain,
xor(b,or(t1,and(a,not(t4)))) = xor(t3,and(a,not(t4))),
inference(resolve,[$cnf( $equal(xor(b,xor(t1,and(a,not(t4)))),xor(t3,and(a,not(t4)))) )],[refute_0_13365,refute_0_13471]) ).
cnf(refute_0_13473,plain,
xor(t3,and(a,not(t4))) = and(t3,or(t4,not(a))),
inference(subst,[],[refute_0_6519:[bind(X,$fot(t4))]]) ).
cnf(refute_0_13474,plain,
( xor(b,or(t1,and(a,not(t4)))) != xor(t3,and(a,not(t4)))
| xor(t3,and(a,not(t4))) != and(t3,or(t4,not(a)))
| xor(b,or(t1,and(a,not(t4)))) = and(t3,or(t4,not(a))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(b,or(t1,and(a,not(t4)))),and(t3,or(t4,not(a)))) ),[0],$fot(xor(t3,and(a,not(t4))))]]) ).
cnf(refute_0_13475,plain,
( xor(b,or(t1,and(a,not(t4)))) != xor(t3,and(a,not(t4)))
| xor(b,or(t1,and(a,not(t4)))) = and(t3,or(t4,not(a))) ),
inference(resolve,[$cnf( $equal(xor(t3,and(a,not(t4))),and(t3,or(t4,not(a)))) )],[refute_0_13473,refute_0_13474]) ).
cnf(refute_0_13476,plain,
xor(b,or(t1,and(a,not(t4)))) = and(t3,or(t4,not(a))),
inference(resolve,[$cnf( $equal(xor(b,or(t1,and(a,not(t4)))),xor(t3,and(a,not(t4)))) )],[refute_0_13472,refute_0_13475]) ).
cnf(refute_0_13477,plain,
( not(xor(b,or(t1,and(a,not(t4))))) != xor(b,not(or(t1,and(a,not(t4)))))
| xor(b,or(t1,and(a,not(t4)))) != and(t3,or(t4,not(a)))
| not(and(t3,or(t4,not(a)))) = xor(b,not(or(t1,and(a,not(t4))))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(b,or(t1,and(a,not(t4))))),xor(b,not(or(t1,and(a,not(t4)))))) ),[0,0],$fot(and(t3,or(t4,not(a))))]]) ).
cnf(refute_0_13478,plain,
( not(xor(b,or(t1,and(a,not(t4))))) != xor(b,not(or(t1,and(a,not(t4)))))
| not(and(t3,or(t4,not(a)))) = xor(b,not(or(t1,and(a,not(t4))))) ),
inference(resolve,[$cnf( $equal(xor(b,or(t1,and(a,not(t4)))),and(t3,or(t4,not(a)))) )],[refute_0_13476,refute_0_13477]) ).
cnf(refute_0_13479,plain,
not(and(t3,or(t4,not(a)))) = xor(b,not(or(t1,and(a,not(t4))))),
inference(resolve,[$cnf( $equal(not(xor(b,or(t1,and(a,not(t4))))),xor(b,not(or(t1,and(a,not(t4)))))) )],[refute_0_13364,refute_0_13478]) ).
cnf(refute_0_13480,plain,
or(and(t4,not(a)),and(not(t4),a)) = xor(t4,a),
inference(subst,[],[refute_0_9:[bind(X,$fot(t4)),bind(Y,$fot(a))]]) ).
cnf(refute_0_13481,plain,
and(not(a),t4) = and(t1,and(t2,t4)),
inference(subst,[],[refute_0_600:[bind(Z,$fot(t4))]]) ).
cnf(refute_0_13482,plain,
( and(not(a),t4) != and(t1,and(t2,t4))
| and(t2,t4) != not(t3)
| and(not(a),t4) = and(t1,not(t3)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(a),t4),and(t1,and(t2,t4))) ),[1,1],$fot(not(t3))]]) ).
cnf(refute_0_13483,plain,
( and(not(a),t4) != and(t1,and(t2,t4))
| and(not(a),t4) = and(t1,not(t3)) ),
inference(resolve,[$cnf( $equal(and(t2,t4),not(t3)) )],[refute_0_9619,refute_0_13482]) ).
cnf(refute_0_13484,plain,
and(not(a),t4) = and(t1,not(t3)),
inference(resolve,[$cnf( $equal(and(not(a),t4),and(t1,and(t2,t4))) )],[refute_0_13481,refute_0_13483]) ).
cnf(refute_0_13485,plain,
and(not(a),t4) = and(t4,not(a)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t4)),bind(Y,$fot(not(a)))]]) ).
cnf(refute_0_13486,plain,
( and(not(a),t4) != and(t1,not(t3))
| and(not(a),t4) != and(t4,not(a))
| and(t4,not(a)) = and(t1,not(t3)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(a),t4),and(t1,not(t3))) ),[0],$fot(and(t4,not(a)))]]) ).
cnf(refute_0_13487,plain,
( and(not(a),t4) != and(t1,not(t3))
| and(t4,not(a)) = and(t1,not(t3)) ),
inference(resolve,[$cnf( $equal(and(not(a),t4),and(t4,not(a))) )],[refute_0_13485,refute_0_13486]) ).
cnf(refute_0_13488,plain,
( and(t1,not(t3)) != not(t3)
| and(t4,not(a)) != and(t1,not(t3))
| and(t4,not(a)) = not(t3) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,not(a)),and(t1,not(t3))) ),[1],$fot(not(t3))]]) ).
cnf(refute_0_13489,plain,
( and(t4,not(a)) != and(t1,not(t3))
| and(t4,not(a)) = not(t3) ),
inference(resolve,[$cnf( $equal(and(t1,not(t3)),not(t3)) )],[refute_0_2985,refute_0_13488]) ).
cnf(refute_0_13490,plain,
( and(not(a),t4) != and(t1,not(t3))
| and(t4,not(a)) = not(t3) ),
inference(resolve,[$cnf( $equal(and(t4,not(a)),and(t1,not(t3))) )],[refute_0_13487,refute_0_13489]) ).
cnf(refute_0_13491,plain,
and(t4,not(a)) = not(t3),
inference(resolve,[$cnf( $equal(and(not(a),t4),and(t1,not(t3))) )],[refute_0_13484,refute_0_13490]) ).
cnf(refute_0_13492,plain,
( and(t4,not(a)) != not(t3)
| or(and(t4,not(a)),and(not(t4),a)) != xor(t4,a)
| or(not(t3),and(not(t4),a)) = xor(t4,a) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,not(a)),and(not(t4),a)),xor(t4,a)) ),[0,0],$fot(not(t3))]]) ).
cnf(refute_0_13493,plain,
( or(and(t4,not(a)),and(not(t4),a)) != xor(t4,a)
| or(not(t3),and(not(t4),a)) = xor(t4,a) ),
inference(resolve,[$cnf( $equal(and(t4,not(a)),not(t3)) )],[refute_0_13491,refute_0_13492]) ).
cnf(refute_0_13494,plain,
or(not(t3),and(not(t4),a)) = xor(t4,a),
inference(resolve,[$cnf( $equal(or(and(t4,not(a)),and(not(t4),a)),xor(t4,a)) )],[refute_0_13480,refute_0_13493]) ).
cnf(refute_0_13495,plain,
or(not(t3),and(not(t4),a)) = not(and(t3,or(t4,not(a)))),
inference(subst,[],[refute_0_1337:[bind(X,$fot(t3)),bind(X_78,$fot(a)),bind(X_79,$fot(t4))]]) ).
cnf(refute_0_13496,plain,
( or(not(t3),and(not(t4),a)) != not(and(t3,or(t4,not(a))))
| or(not(t3),and(not(t4),a)) != xor(t4,a)
| not(and(t3,or(t4,not(a)))) = xor(t4,a) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t3),and(not(t4),a)),xor(t4,a)) ),[0],$fot(not(and(t3,or(t4,not(a)))))]]) ).
cnf(refute_0_13497,plain,
( or(not(t3),and(not(t4),a)) != xor(t4,a)
| not(and(t3,or(t4,not(a)))) = xor(t4,a) ),
inference(resolve,[$cnf( $equal(or(not(t3),and(not(t4),a)),not(and(t3,or(t4,not(a))))) )],[refute_0_13495,refute_0_13496]) ).
cnf(refute_0_13498,plain,
xor(a,xor(t1,xor(t4,t1))) = xor(t2,xor(t4,t1)),
inference(subst,[],[refute_0_370:[bind(X_335,$fot(xor(t4,t1)))]]) ).
cnf(refute_0_13499,plain,
xor(t4,xor(t5,xor(X_380,xor(t5,X_380)))) = xor(t6,xor(X_380,xor(t5,X_380))),
inference(subst,[],[refute_0_1000:[bind(X_335,$fot(xor(X_380,xor(t5,X_380))))]]) ).
cnf(refute_0_13500,plain,
ll0 = xor(xor(X_333,X_334),xor(X_333,X_334)),
inference(subst,[],[refute_0_40:[bind(X_63,$fot(xor(X_333,X_334)))]]) ).
cnf(refute_0_13501,plain,
xor(X_333,xor(X_334,xor(X_333,X_334))) = xor(xor(X_333,X_334),xor(X_333,X_334)),
inference(subst,[],[xor_associative:[bind(X,$fot(X_333)),bind(Y,$fot(X_334)),bind(Z,$fot(xor(X_333,X_334)))]]) ).
cnf(refute_0_13502,plain,
( xor(X_333,xor(X_334,xor(X_333,X_334))) != xor(xor(X_333,X_334),xor(X_333,X_334))
| xor(xor(X_333,X_334),xor(X_333,X_334)) = xor(X_333,xor(X_334,xor(X_333,X_334))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X_333,xor(X_334,xor(X_333,X_334))))),bind(Y0,$fot(xor(xor(X_333,X_334),xor(X_333,X_334))))]]) ).
cnf(refute_0_13503,plain,
xor(xor(X_333,X_334),xor(X_333,X_334)) = xor(X_333,xor(X_334,xor(X_333,X_334))),
inference(resolve,[$cnf( $equal(xor(X_333,xor(X_334,xor(X_333,X_334))),xor(xor(X_333,X_334),xor(X_333,X_334))) )],[refute_0_13501,refute_0_13502]) ).
cnf(refute_0_13504,plain,
( ll0 != xor(xor(X_333,X_334),xor(X_333,X_334))
| xor(xor(X_333,X_334),xor(X_333,X_334)) != xor(X_333,xor(X_334,xor(X_333,X_334)))
| ll0 = xor(X_333,xor(X_334,xor(X_333,X_334))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll0,xor(X_333,xor(X_334,xor(X_333,X_334)))) ),[0],$fot(xor(xor(X_333,X_334),xor(X_333,X_334)))]]) ).
cnf(refute_0_13505,plain,
( ll0 != xor(xor(X_333,X_334),xor(X_333,X_334))
| ll0 = xor(X_333,xor(X_334,xor(X_333,X_334))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,X_334),xor(X_333,X_334)),xor(X_333,xor(X_334,xor(X_333,X_334)))) )],[refute_0_13503,refute_0_13504]) ).
cnf(refute_0_13506,plain,
ll0 = xor(X_333,xor(X_334,xor(X_333,X_334))),
inference(resolve,[$cnf( $equal(ll0,xor(xor(X_333,X_334),xor(X_333,X_334))) )],[refute_0_13500,refute_0_13505]) ).
cnf(refute_0_13507,plain,
ll0 = xor(t5,xor(X_380,xor(t5,X_380))),
inference(subst,[],[refute_0_13506:[bind(X_333,$fot(t5)),bind(X_334,$fot(X_380))]]) ).
cnf(refute_0_13508,plain,
( ll0 != xor(t5,xor(X_380,xor(t5,X_380)))
| xor(t5,xor(X_380,xor(t5,X_380))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(xor(t5,xor(X_380,xor(t5,X_380)))))]]) ).
cnf(refute_0_13509,plain,
xor(t5,xor(X_380,xor(t5,X_380))) = ll0,
inference(resolve,[$cnf( $equal(ll0,xor(t5,xor(X_380,xor(t5,X_380)))) )],[refute_0_13507,refute_0_13508]) ).
cnf(refute_0_13510,plain,
( xor(t4,xor(t5,xor(X_380,xor(t5,X_380)))) != xor(t6,xor(X_380,xor(t5,X_380)))
| xor(t5,xor(X_380,xor(t5,X_380))) != ll0
| xor(t4,ll0) = xor(t6,xor(X_380,xor(t5,X_380))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,xor(t5,xor(X_380,xor(t5,X_380)))),xor(t6,xor(X_380,xor(t5,X_380)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_13511,plain,
( xor(t4,xor(t5,xor(X_380,xor(t5,X_380)))) != xor(t6,xor(X_380,xor(t5,X_380)))
| xor(t4,ll0) = xor(t6,xor(X_380,xor(t5,X_380))) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(X_380,xor(t5,X_380))),ll0) )],[refute_0_13509,refute_0_13510]) ).
cnf(refute_0_13512,plain,
xor(t4,ll0) = xor(t6,xor(X_380,xor(t5,X_380))),
inference(resolve,[$cnf( $equal(xor(t4,xor(t5,xor(X_380,xor(t5,X_380)))),xor(t6,xor(X_380,xor(t5,X_380)))) )],[refute_0_13499,refute_0_13511]) ).
cnf(refute_0_13513,plain,
( xor(t4,ll0) != t4
| xor(t4,ll0) != xor(t6,xor(X_380,xor(t5,X_380)))
| t4 = xor(t6,xor(X_380,xor(t5,X_380))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,ll0),xor(t6,xor(X_380,xor(t5,X_380)))) ),[0],$fot(t4)]]) ).
cnf(refute_0_13514,plain,
( xor(t4,ll0) != xor(t6,xor(X_380,xor(t5,X_380)))
| t4 = xor(t6,xor(X_380,xor(t5,X_380))) ),
inference(resolve,[$cnf( $equal(xor(t4,ll0),t4) )],[refute_0_1379,refute_0_13513]) ).
cnf(refute_0_13515,plain,
xor(X,xor(t5,xor(X_366,t6))) = xor(xor(X,t5),xor(X_366,t6)),
inference(subst,[],[xor_associative:[bind(Y,$fot(t5)),bind(Z,$fot(xor(X_366,t6)))]]) ).
cnf(refute_0_13516,plain,
xor(t4,X_366) = xor(t5,xor(X_366,t6)),
inference(subst,[],[refute_0_4956:[bind(X_355,$fot(X_366))]]) ).
cnf(refute_0_13517,plain,
( xor(t4,X_366) != xor(t5,xor(X_366,t6))
| xor(t5,xor(X_366,t6)) = xor(t4,X_366) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t4,X_366))),bind(Y0,$fot(xor(t5,xor(X_366,t6))))]]) ).
cnf(refute_0_13518,plain,
xor(t5,xor(X_366,t6)) = xor(t4,X_366),
inference(resolve,[$cnf( $equal(xor(t4,X_366),xor(t5,xor(X_366,t6))) )],[refute_0_13516,refute_0_13517]) ).
cnf(refute_0_13519,plain,
( xor(X,xor(t5,xor(X_366,t6))) != xor(xor(X,t5),xor(X_366,t6))
| xor(t5,xor(X_366,t6)) != xor(t4,X_366)
| xor(X,xor(t4,X_366)) = xor(xor(X,t5),xor(X_366,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,xor(t5,xor(X_366,t6))),xor(xor(X,t5),xor(X_366,t6))) ),[0,1],$fot(xor(t4,X_366))]]) ).
cnf(refute_0_13520,plain,
( xor(X,xor(t5,xor(X_366,t6))) != xor(xor(X,t5),xor(X_366,t6))
| xor(X,xor(t4,X_366)) = xor(xor(X,t5),xor(X_366,t6)) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(X_366,t6)),xor(t4,X_366)) )],[refute_0_13518,refute_0_13519]) ).
cnf(refute_0_13521,plain,
xor(X,xor(t4,X_366)) = xor(xor(X,t5),xor(X_366,t6)),
inference(resolve,[$cnf( $equal(xor(X,xor(t5,xor(X_366,t6))),xor(xor(X,t5),xor(X_366,t6))) )],[refute_0_13515,refute_0_13520]) ).
cnf(refute_0_13522,plain,
xor(xor(X,t5),X_366) = xor(X,xor(t5,X_366)),
inference(subst,[],[refute_0_526:[bind(Y,$fot(t5)),bind(Z,$fot(X_366))]]) ).
cnf(refute_0_13523,plain,
xor(t6,xor(xor(X,t5),X_366)) = xor(t6,xor(xor(X,t5),X_366)),
introduced(tautology,[refl,[$fot(xor(t6,xor(xor(X,t5),X_366)))]]) ).
cnf(refute_0_13524,plain,
( xor(t6,xor(xor(X,t5),X_366)) != xor(t6,xor(xor(X,t5),X_366))
| xor(xor(X,t5),X_366) != xor(X,xor(t5,X_366))
| xor(t6,xor(xor(X,t5),X_366)) = xor(t6,xor(X,xor(t5,X_366))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,xor(xor(X,t5),X_366)),xor(t6,xor(xor(X,t5),X_366))) ),[1,1],$fot(xor(X,xor(t5,X_366)))]]) ).
cnf(refute_0_13525,plain,
( xor(xor(X,t5),X_366) != xor(X,xor(t5,X_366))
| xor(t6,xor(xor(X,t5),X_366)) = xor(t6,xor(X,xor(t5,X_366))) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(xor(X,t5),X_366)),xor(t6,xor(xor(X,t5),X_366))) )],[refute_0_13523,refute_0_13524]) ).
cnf(refute_0_13526,plain,
xor(t6,xor(xor(X,t5),X_366)) = xor(t6,xor(X,xor(t5,X_366))),
inference(resolve,[$cnf( $equal(xor(xor(X,t5),X_366),xor(X,xor(t5,X_366))) )],[refute_0_13522,refute_0_13525]) ).
cnf(refute_0_13527,plain,
xor(xor(X,t5),xor(X_366,t6)) = xor(t6,xor(xor(X,t5),X_366)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(t6)),bind(X_333,$fot(xor(X,t5))),bind(X_334,$fot(X_366))]]) ).
cnf(refute_0_13528,plain,
( xor(t6,xor(xor(X,t5),X_366)) != xor(t6,xor(X,xor(t5,X_366)))
| xor(xor(X,t5),xor(X_366,t6)) != xor(t6,xor(xor(X,t5),X_366))
| xor(xor(X,t5),xor(X_366,t6)) = xor(t6,xor(X,xor(t5,X_366))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X,t5),xor(X_366,t6)))),bind(Y0,$fot(xor(t6,xor(xor(X,t5),X_366)))),bind(Z0,$fot(xor(t6,xor(X,xor(t5,X_366)))))]]) ).
cnf(refute_0_13529,plain,
( xor(t6,xor(xor(X,t5),X_366)) != xor(t6,xor(X,xor(t5,X_366)))
| xor(xor(X,t5),xor(X_366,t6)) = xor(t6,xor(X,xor(t5,X_366))) ),
inference(resolve,[$cnf( $equal(xor(xor(X,t5),xor(X_366,t6)),xor(t6,xor(xor(X,t5),X_366))) )],[refute_0_13527,refute_0_13528]) ).
cnf(refute_0_13530,plain,
xor(xor(X,t5),xor(X_366,t6)) = xor(t6,xor(X,xor(t5,X_366))),
inference(resolve,[$cnf( $equal(xor(t6,xor(xor(X,t5),X_366)),xor(t6,xor(X,xor(t5,X_366)))) )],[refute_0_13526,refute_0_13529]) ).
cnf(refute_0_13531,plain,
( xor(X,xor(t4,X_366)) != xor(xor(X,t5),xor(X_366,t6))
| xor(xor(X,t5),xor(X_366,t6)) != xor(t6,xor(X,xor(t5,X_366)))
| xor(X,xor(t4,X_366)) = xor(t6,xor(X,xor(t5,X_366))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(X,xor(t4,X_366)),xor(t6,xor(X,xor(t5,X_366)))) ),[0],$fot(xor(xor(X,t5),xor(X_366,t6)))]]) ).
cnf(refute_0_13532,plain,
( xor(X,xor(t4,X_366)) != xor(xor(X,t5),xor(X_366,t6))
| xor(X,xor(t4,X_366)) = xor(t6,xor(X,xor(t5,X_366))) ),
inference(resolve,[$cnf( $equal(xor(xor(X,t5),xor(X_366,t6)),xor(t6,xor(X,xor(t5,X_366)))) )],[refute_0_13530,refute_0_13531]) ).
cnf(refute_0_13533,plain,
xor(X,xor(t4,X_366)) = xor(t6,xor(X,xor(t5,X_366))),
inference(resolve,[$cnf( $equal(xor(X,xor(t4,X_366)),xor(xor(X,t5),xor(X_366,t6))) )],[refute_0_13521,refute_0_13532]) ).
cnf(refute_0_13534,plain,
( xor(X,xor(t4,X_366)) != xor(t6,xor(X,xor(t5,X_366)))
| xor(t6,xor(X,xor(t5,X_366))) = xor(X,xor(t4,X_366)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X,xor(t4,X_366)))),bind(Y0,$fot(xor(t6,xor(X,xor(t5,X_366)))))]]) ).
cnf(refute_0_13535,plain,
xor(t6,xor(X,xor(t5,X_366))) = xor(X,xor(t4,X_366)),
inference(resolve,[$cnf( $equal(xor(X,xor(t4,X_366)),xor(t6,xor(X,xor(t5,X_366)))) )],[refute_0_13533,refute_0_13534]) ).
cnf(refute_0_13536,plain,
xor(t6,xor(X_380,xor(t5,X_380))) = xor(X_380,xor(t4,X_380)),
inference(subst,[],[refute_0_13535:[bind(X,$fot(X_380)),bind(X_366,$fot(X_380))]]) ).
cnf(refute_0_13537,plain,
( t4 != xor(t6,xor(X_380,xor(t5,X_380)))
| xor(t6,xor(X_380,xor(t5,X_380))) != xor(X_380,xor(t4,X_380))
| t4 = xor(X_380,xor(t4,X_380)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(t4,xor(X_380,xor(t4,X_380))) ),[0],$fot(xor(t6,xor(X_380,xor(t5,X_380))))]]) ).
cnf(refute_0_13538,plain,
( t4 != xor(t6,xor(X_380,xor(t5,X_380)))
| t4 = xor(X_380,xor(t4,X_380)) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(X_380,xor(t5,X_380))),xor(X_380,xor(t4,X_380))) )],[refute_0_13536,refute_0_13537]) ).
cnf(refute_0_13539,plain,
( xor(t4,ll0) != xor(t6,xor(X_380,xor(t5,X_380)))
| t4 = xor(X_380,xor(t4,X_380)) ),
inference(resolve,[$cnf( $equal(t4,xor(t6,xor(X_380,xor(t5,X_380)))) )],[refute_0_13514,refute_0_13538]) ).
cnf(refute_0_13540,plain,
t4 = xor(X_380,xor(t4,X_380)),
inference(resolve,[$cnf( $equal(xor(t4,ll0),xor(t6,xor(X_380,xor(t5,X_380)))) )],[refute_0_13512,refute_0_13539]) ).
cnf(refute_0_13541,plain,
t4 = xor(t1,xor(t4,t1)),
inference(subst,[],[refute_0_13540:[bind(X_380,$fot(t1))]]) ).
cnf(refute_0_13542,plain,
( t4 != xor(t1,xor(t4,t1))
| xor(t1,xor(t4,t1)) = t4 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(t4)),bind(Y0,$fot(xor(t1,xor(t4,t1))))]]) ).
cnf(refute_0_13543,plain,
xor(t1,xor(t4,t1)) = t4,
inference(resolve,[$cnf( $equal(t4,xor(t1,xor(t4,t1))) )],[refute_0_13541,refute_0_13542]) ).
cnf(refute_0_13544,plain,
( xor(a,xor(t1,xor(t4,t1))) != xor(t2,xor(t4,t1))
| xor(t1,xor(t4,t1)) != t4
| xor(a,t4) = xor(t2,xor(t4,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t1,xor(t4,t1))),xor(t2,xor(t4,t1))) ),[0,1],$fot(t4)]]) ).
cnf(refute_0_13545,plain,
( xor(a,xor(t1,xor(t4,t1))) != xor(t2,xor(t4,t1))
| xor(a,t4) = xor(t2,xor(t4,t1)) ),
inference(resolve,[$cnf( $equal(xor(t1,xor(t4,t1)),t4) )],[refute_0_13543,refute_0_13544]) ).
cnf(refute_0_13546,plain,
xor(a,t4) = xor(t2,xor(t4,t1)),
inference(resolve,[$cnf( $equal(xor(a,xor(t1,xor(t4,t1))),xor(t2,xor(t4,t1))) )],[refute_0_13498,refute_0_13545]) ).
cnf(refute_0_13547,plain,
xor(t2,xor(t4,t1)) = xor(t1,t3),
inference(subst,[],[refute_0_9689:[bind(X,$fot(t1))]]) ).
cnf(refute_0_13548,plain,
( xor(t1,t3) != b
| xor(t2,xor(t4,t1)) != xor(t1,t3)
| xor(t2,xor(t4,t1)) = b ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,xor(t4,t1)))),bind(Y0,$fot(xor(t1,t3))),bind(Z0,$fot(b))]]) ).
cnf(refute_0_13549,plain,
( xor(t1,t3) != b
| xor(t2,xor(t4,t1)) = b ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t4,t1)),xor(t1,t3)) )],[refute_0_13547,refute_0_13548]) ).
cnf(refute_0_13550,plain,
xor(t2,xor(t4,t1)) = b,
inference(resolve,[$cnf( $equal(xor(t1,t3),b) )],[refute_0_1872,refute_0_13549]) ).
cnf(refute_0_13551,plain,
( xor(a,t4) != xor(t2,xor(t4,t1))
| xor(t2,xor(t4,t1)) != b
| xor(a,t4) = b ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(a,t4),b) ),[0],$fot(xor(t2,xor(t4,t1)))]]) ).
cnf(refute_0_13552,plain,
( xor(a,t4) != xor(t2,xor(t4,t1))
| xor(a,t4) = b ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t4,t1)),b) )],[refute_0_13550,refute_0_13551]) ).
cnf(refute_0_13553,plain,
xor(a,t4) = b,
inference(resolve,[$cnf( $equal(xor(a,t4),xor(t2,xor(t4,t1))) )],[refute_0_13546,refute_0_13552]) ).
cnf(refute_0_13554,plain,
xor(X_333,xor(t3,xor(a,t3))) = xor(xor(X_333,t3),xor(a,t3)),
inference(subst,[],[xor_associative:[bind(X,$fot(X_333)),bind(Y,$fot(t3)),bind(Z,$fot(xor(a,t3)))]]) ).
cnf(refute_0_13555,plain,
( and(t3,or(a,t4)) != a
| and(t3,or(a,t4)) != xor(t3,xor(a,t3))
| a = xor(t3,xor(a,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,or(a,t4)),xor(t3,xor(a,t3))) ),[0],$fot(a)]]) ).
cnf(refute_0_13556,plain,
( and(t3,or(a,t4)) != xor(t3,xor(a,t3))
| a = xor(t3,xor(a,t3)) ),
inference(resolve,[$cnf( $equal(and(t3,or(a,t4)),a) )],[refute_0_6912,refute_0_13555]) ).
cnf(refute_0_13557,plain,
a = xor(t3,xor(a,t3)),
inference(resolve,[$cnf( $equal(and(t3,or(a,t4)),xor(t3,xor(a,t3))) )],[refute_0_6888,refute_0_13556]) ).
cnf(refute_0_13558,plain,
( a != xor(t3,xor(a,t3))
| xor(t3,xor(a,t3)) = a ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(a)),bind(Y0,$fot(xor(t3,xor(a,t3))))]]) ).
cnf(refute_0_13559,plain,
xor(t3,xor(a,t3)) = a,
inference(resolve,[$cnf( $equal(a,xor(t3,xor(a,t3))) )],[refute_0_13557,refute_0_13558]) ).
cnf(refute_0_13560,plain,
( xor(X_333,xor(t3,xor(a,t3))) != xor(xor(X_333,t3),xor(a,t3))
| xor(t3,xor(a,t3)) != a
| xor(X_333,a) = xor(xor(X_333,t3),xor(a,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,xor(t3,xor(a,t3))),xor(xor(X_333,t3),xor(a,t3))) ),[0,1],$fot(a)]]) ).
cnf(refute_0_13561,plain,
( xor(X_333,xor(t3,xor(a,t3))) != xor(xor(X_333,t3),xor(a,t3))
| xor(X_333,a) = xor(xor(X_333,t3),xor(a,t3)) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(a,t3)),a) )],[refute_0_13559,refute_0_13560]) ).
cnf(refute_0_13562,plain,
xor(X_333,a) = xor(xor(X_333,t3),xor(a,t3)),
inference(resolve,[$cnf( $equal(xor(X_333,xor(t3,xor(a,t3))),xor(xor(X_333,t3),xor(a,t3))) )],[refute_0_13554,refute_0_13561]) ).
cnf(refute_0_13563,plain,
xor(t3,xor(xor(X_333,t3),a)) = xor(a,xor(t3,xor(X_333,t3))),
inference(subst,[],[refute_0_1453:[bind(X,$fot(a)),bind(X_333,$fot(t3)),bind(X_334,$fot(xor(X_333,t3)))]]) ).
cnf(refute_0_13564,plain,
xor(xor(X_333,t3),xor(a,t3)) = xor(t3,xor(xor(X_333,t3),a)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(t3)),bind(X_333,$fot(xor(X_333,t3))),bind(X_334,$fot(a))]]) ).
cnf(refute_0_13565,plain,
( xor(t3,xor(xor(X_333,t3),a)) != xor(a,xor(t3,xor(X_333,t3)))
| xor(xor(X_333,t3),xor(a,t3)) != xor(t3,xor(xor(X_333,t3),a))
| xor(xor(X_333,t3),xor(a,t3)) = xor(a,xor(t3,xor(X_333,t3))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X_333,t3),xor(a,t3)))),bind(Y0,$fot(xor(t3,xor(xor(X_333,t3),a)))),bind(Z0,$fot(xor(a,xor(t3,xor(X_333,t3)))))]]) ).
cnf(refute_0_13566,plain,
( xor(t3,xor(xor(X_333,t3),a)) != xor(a,xor(t3,xor(X_333,t3)))
| xor(xor(X_333,t3),xor(a,t3)) = xor(a,xor(t3,xor(X_333,t3))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,t3),xor(a,t3)),xor(t3,xor(xor(X_333,t3),a))) )],[refute_0_13564,refute_0_13565]) ).
cnf(refute_0_13567,plain,
xor(xor(X_333,t3),xor(a,t3)) = xor(a,xor(t3,xor(X_333,t3))),
inference(resolve,[$cnf( $equal(xor(t3,xor(xor(X_333,t3),a)),xor(a,xor(t3,xor(X_333,t3)))) )],[refute_0_13563,refute_0_13566]) ).
cnf(refute_0_13568,plain,
( xor(X_333,a) != xor(xor(X_333,t3),xor(a,t3))
| xor(xor(X_333,t3),xor(a,t3)) != xor(a,xor(t3,xor(X_333,t3)))
| xor(X_333,a) = xor(a,xor(t3,xor(X_333,t3))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(X_333,a),xor(a,xor(t3,xor(X_333,t3)))) ),[0],$fot(xor(xor(X_333,t3),xor(a,t3)))]]) ).
cnf(refute_0_13569,plain,
( xor(X_333,a) != xor(xor(X_333,t3),xor(a,t3))
| xor(X_333,a) = xor(a,xor(t3,xor(X_333,t3))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,t3),xor(a,t3)),xor(a,xor(t3,xor(X_333,t3)))) )],[refute_0_13567,refute_0_13568]) ).
cnf(refute_0_13570,plain,
xor(X_333,a) = xor(a,xor(t3,xor(X_333,t3))),
inference(resolve,[$cnf( $equal(xor(X_333,a),xor(xor(X_333,t3),xor(a,t3))) )],[refute_0_13562,refute_0_13569]) ).
cnf(refute_0_13571,plain,
xor(t3,xor(X_333,t3)) = X_333,
inference(subst,[],[refute_0_9723:[bind(X_453,$fot(X_333))]]) ).
cnf(refute_0_13572,plain,
xor(a,xor(t3,xor(X_333,t3))) = xor(a,xor(t3,xor(X_333,t3))),
introduced(tautology,[refl,[$fot(xor(a,xor(t3,xor(X_333,t3))))]]) ).
cnf(refute_0_13573,plain,
( xor(a,xor(t3,xor(X_333,t3))) != xor(a,xor(t3,xor(X_333,t3)))
| xor(t3,xor(X_333,t3)) != X_333
| xor(a,xor(t3,xor(X_333,t3))) = xor(a,X_333) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t3,xor(X_333,t3))),xor(a,xor(t3,xor(X_333,t3)))) ),[1,1],$fot(X_333)]]) ).
cnf(refute_0_13574,plain,
( xor(t3,xor(X_333,t3)) != X_333
| xor(a,xor(t3,xor(X_333,t3))) = xor(a,X_333) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,xor(X_333,t3))),xor(a,xor(t3,xor(X_333,t3)))) )],[refute_0_13572,refute_0_13573]) ).
cnf(refute_0_13575,plain,
xor(a,xor(t3,xor(X_333,t3))) = xor(a,X_333),
inference(resolve,[$cnf( $equal(xor(t3,xor(X_333,t3)),X_333) )],[refute_0_13571,refute_0_13574]) ).
cnf(refute_0_13576,plain,
( xor(X_333,a) != xor(a,xor(t3,xor(X_333,t3)))
| xor(a,xor(t3,xor(X_333,t3))) != xor(a,X_333)
| xor(X_333,a) = xor(a,X_333) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(X_333,a),xor(a,X_333)) ),[0],$fot(xor(a,xor(t3,xor(X_333,t3))))]]) ).
cnf(refute_0_13577,plain,
( xor(X_333,a) != xor(a,xor(t3,xor(X_333,t3)))
| xor(X_333,a) = xor(a,X_333) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,xor(X_333,t3))),xor(a,X_333)) )],[refute_0_13575,refute_0_13576]) ).
cnf(refute_0_13578,plain,
xor(X_333,a) = xor(a,X_333),
inference(resolve,[$cnf( $equal(xor(X_333,a),xor(a,xor(t3,xor(X_333,t3)))) )],[refute_0_13570,refute_0_13577]) ).
cnf(refute_0_13579,plain,
xor(t4,a) = xor(a,t4),
inference(subst,[],[refute_0_13578:[bind(X_333,$fot(t4))]]) ).
cnf(refute_0_13580,plain,
( xor(a,t4) != b
| xor(t4,a) != xor(a,t4)
| xor(t4,a) = b ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t4,a))),bind(Y0,$fot(xor(a,t4))),bind(Z0,$fot(b))]]) ).
cnf(refute_0_13581,plain,
( xor(a,t4) != b
| xor(t4,a) = b ),
inference(resolve,[$cnf( $equal(xor(t4,a),xor(a,t4)) )],[refute_0_13579,refute_0_13580]) ).
cnf(refute_0_13582,plain,
xor(t4,a) = b,
inference(resolve,[$cnf( $equal(xor(a,t4),b) )],[refute_0_13553,refute_0_13581]) ).
cnf(refute_0_13583,plain,
( not(and(t3,or(t4,not(a)))) != xor(t4,a)
| xor(t4,a) != b
| not(and(t3,or(t4,not(a)))) = b ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(t3,or(t4,not(a)))),b) ),[0],$fot(xor(t4,a))]]) ).
cnf(refute_0_13584,plain,
( not(and(t3,or(t4,not(a)))) != xor(t4,a)
| not(and(t3,or(t4,not(a)))) = b ),
inference(resolve,[$cnf( $equal(xor(t4,a),b) )],[refute_0_13582,refute_0_13583]) ).
cnf(refute_0_13585,plain,
( or(not(t3),and(not(t4),a)) != xor(t4,a)
| not(and(t3,or(t4,not(a)))) = b ),
inference(resolve,[$cnf( $equal(not(and(t3,or(t4,not(a)))),xor(t4,a)) )],[refute_0_13497,refute_0_13584]) ).
cnf(refute_0_13586,plain,
not(and(t3,or(t4,not(a)))) = b,
inference(resolve,[$cnf( $equal(or(not(t3),and(not(t4),a)),xor(t4,a)) )],[refute_0_13494,refute_0_13585]) ).
cnf(refute_0_13587,plain,
( not(and(t3,or(t4,not(a)))) != b
| not(and(t3,or(t4,not(a)))) != xor(b,not(or(t1,and(a,not(t4)))))
| b = xor(b,not(or(t1,and(a,not(t4))))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(t3,or(t4,not(a)))),xor(b,not(or(t1,and(a,not(t4)))))) ),[0],$fot(b)]]) ).
cnf(refute_0_13588,plain,
( not(and(t3,or(t4,not(a)))) != xor(b,not(or(t1,and(a,not(t4)))))
| b = xor(b,not(or(t1,and(a,not(t4))))) ),
inference(resolve,[$cnf( $equal(not(and(t3,or(t4,not(a)))),b) )],[refute_0_13586,refute_0_13587]) ).
cnf(refute_0_13589,plain,
xor(b,xor(t1,or(t4,not(a)))) = xor(t3,or(t4,not(a))),
inference(subst,[],[refute_0_1233:[bind(X_335,$fot(or(t4,not(a))))]]) ).
cnf(refute_0_13590,plain,
not(xor(X_377,or(t1,and(a,not(t4))))) = xor(X_377,not(or(t1,and(a,not(t4))))),
inference(subst,[],[refute_0_1137:[bind(X_333,$fot(X_377)),bind(X_334,$fot(or(t1,and(a,not(t4)))))]]) ).
cnf(refute_0_13591,plain,
not(or(t1,and(not(t4),a))) = not(or(t1,and(a,not(t4)))),
inference(subst,[],[refute_0_5521:[bind(X,$fot(t1)),bind(X_205,$fot(not(t4))),bind(X_206,$fot(a))]]) ).
cnf(refute_0_13592,plain,
and(not(t1),or(t4,not(a))) = not(or(t1,and(not(t4),a))),
inference(subst,[],[refute_0_5529:[bind(X,$fot(t1)),bind(X_33,$fot(t4)),bind(X_34,$fot(a))]]) ).
cnf(refute_0_13593,plain,
( and(not(t1),or(t4,not(a))) != not(or(t1,and(not(t4),a)))
| not(or(t1,and(not(t4),a))) != not(or(t1,and(a,not(t4))))
| and(not(t1),or(t4,not(a))) = not(or(t1,and(a,not(t4)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t1),or(t4,not(a))))),bind(Y0,$fot(not(or(t1,and(not(t4),a))))),bind(Z0,$fot(not(or(t1,and(a,not(t4))))))]]) ).
cnf(refute_0_13594,plain,
( not(or(t1,and(not(t4),a))) != not(or(t1,and(a,not(t4))))
| and(not(t1),or(t4,not(a))) = not(or(t1,and(a,not(t4)))) ),
inference(resolve,[$cnf( $equal(and(not(t1),or(t4,not(a))),not(or(t1,and(not(t4),a)))) )],[refute_0_13592,refute_0_13593]) ).
cnf(refute_0_13595,plain,
and(not(t1),or(t4,not(a))) = not(or(t1,and(a,not(t4)))),
inference(resolve,[$cnf( $equal(not(or(t1,and(not(t4),a))),not(or(t1,and(a,not(t4))))) )],[refute_0_13591,refute_0_13594]) ).
cnf(refute_0_13596,plain,
and(not(t1),or(t4,and(t1,t2))) = and(not(t1),or(t4,and(t1,t2))),
introduced(tautology,[refl,[$fot(and(not(t1),or(t4,and(t1,t2))))]]) ).
cnf(refute_0_13597,plain,
( and(not(t1),or(t4,and(t1,t2))) != and(not(t1),or(t4,and(t1,t2)))
| or(t4,and(t1,t2)) != or(t4,not(a))
| and(not(t1),or(t4,and(t1,t2))) = and(not(t1),or(t4,not(a))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t1),or(t4,and(t1,t2))),and(not(t1),or(t4,and(t1,t2)))) ),[1,1],$fot(or(t4,not(a)))]]) ).
cnf(refute_0_13598,plain,
( or(t4,and(t1,t2)) != or(t4,not(a))
| and(not(t1),or(t4,and(t1,t2))) = and(not(t1),or(t4,not(a))) ),
inference(resolve,[$cnf( $equal(and(not(t1),or(t4,and(t1,t2))),and(not(t1),or(t4,and(t1,t2)))) )],[refute_0_13596,refute_0_13597]) ).
cnf(refute_0_13599,plain,
and(not(t1),or(t4,and(t1,t2))) = and(not(t1),or(t4,not(a))),
inference(resolve,[$cnf( $equal(or(t4,and(t1,t2)),or(t4,not(a))) )],[refute_0_13431,refute_0_13598]) ).
cnf(refute_0_13600,plain,
( and(not(t1),or(t4,and(t1,t2))) != and(not(t1),or(t4,not(a)))
| and(not(t1),or(t4,not(a))) != not(or(t1,and(a,not(t4))))
| and(not(t1),or(t4,and(t1,t2))) = not(or(t1,and(a,not(t4)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t1),or(t4,and(t1,t2))))),bind(Y0,$fot(and(not(t1),or(t4,not(a))))),bind(Z0,$fot(not(or(t1,and(a,not(t4))))))]]) ).
cnf(refute_0_13601,plain,
( and(not(t1),or(t4,not(a))) != not(or(t1,and(a,not(t4))))
| and(not(t1),or(t4,and(t1,t2))) = not(or(t1,and(a,not(t4)))) ),
inference(resolve,[$cnf( $equal(and(not(t1),or(t4,and(t1,t2))),and(not(t1),or(t4,not(a)))) )],[refute_0_13599,refute_0_13600]) ).
cnf(refute_0_13602,plain,
and(not(t1),or(t4,and(t1,t2))) = not(or(t1,and(a,not(t4)))),
inference(resolve,[$cnf( $equal(and(not(t1),or(t4,not(a))),not(or(t1,and(a,not(t4))))) )],[refute_0_13595,refute_0_13601]) ).
cnf(refute_0_13603,plain,
( and(not(t1),or(t4,and(t1,t2))) != not(or(t1,and(a,not(t4))))
| and(not(t1),or(t4,and(t1,t2))) != xor(t1,or(t4,and(t1,t2)))
| not(or(t1,and(a,not(t4)))) = xor(t1,or(t4,and(t1,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t1),or(t4,and(t1,t2))),xor(t1,or(t4,and(t1,t2)))) ),[0],$fot(not(or(t1,and(a,not(t4)))))]]) ).
cnf(refute_0_13604,plain,
( and(not(t1),or(t4,and(t1,t2))) != xor(t1,or(t4,and(t1,t2)))
| not(or(t1,and(a,not(t4)))) = xor(t1,or(t4,and(t1,t2))) ),
inference(resolve,[$cnf( $equal(and(not(t1),or(t4,and(t1,t2))),not(or(t1,and(a,not(t4))))) )],[refute_0_13602,refute_0_13603]) ).
cnf(refute_0_13605,plain,
( not(or(t1,and(a,not(t4)))) != xor(t1,or(t4,and(t1,t2)))
| xor(t1,or(t4,and(t1,t2))) != xor(t1,or(t4,not(a)))
| not(or(t1,and(a,not(t4)))) = xor(t1,or(t4,not(a))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(or(t1,and(a,not(t4)))),xor(t1,or(t4,not(a)))) ),[0],$fot(xor(t1,or(t4,and(t1,t2))))]]) ).
cnf(refute_0_13606,plain,
( not(or(t1,and(a,not(t4)))) != xor(t1,or(t4,and(t1,t2)))
| not(or(t1,and(a,not(t4)))) = xor(t1,or(t4,not(a))) ),
inference(resolve,[$cnf( $equal(xor(t1,or(t4,and(t1,t2))),xor(t1,or(t4,not(a)))) )],[refute_0_13448,refute_0_13605]) ).
cnf(refute_0_13607,plain,
( and(not(t1),or(t4,and(t1,t2))) != xor(t1,or(t4,and(t1,t2)))
| not(or(t1,and(a,not(t4)))) = xor(t1,or(t4,not(a))) ),
inference(resolve,[$cnf( $equal(not(or(t1,and(a,not(t4)))),xor(t1,or(t4,and(t1,t2)))) )],[refute_0_13604,refute_0_13606]) ).
cnf(refute_0_13608,plain,
not(or(t1,and(a,not(t4)))) = xor(t1,or(t4,not(a))),
inference(resolve,[$cnf( $equal(and(not(t1),or(t4,and(t1,t2))),xor(t1,or(t4,and(t1,t2)))) )],[refute_0_13412,refute_0_13607]) ).
cnf(refute_0_13609,plain,
( not(or(t1,and(a,not(t4)))) != xor(t1,or(t4,not(a)))
| not(xor(X_377,or(t1,and(a,not(t4))))) != xor(X_377,not(or(t1,and(a,not(t4)))))
| not(xor(X_377,or(t1,and(a,not(t4))))) = xor(X_377,xor(t1,or(t4,not(a)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(X_377,or(t1,and(a,not(t4))))),xor(X_377,not(or(t1,and(a,not(t4)))))) ),[1,1],$fot(xor(t1,or(t4,not(a))))]]) ).
cnf(refute_0_13610,plain,
( not(xor(X_377,or(t1,and(a,not(t4))))) != xor(X_377,not(or(t1,and(a,not(t4)))))
| not(xor(X_377,or(t1,and(a,not(t4))))) = xor(X_377,xor(t1,or(t4,not(a)))) ),
inference(resolve,[$cnf( $equal(not(or(t1,and(a,not(t4)))),xor(t1,or(t4,not(a)))) )],[refute_0_13608,refute_0_13609]) ).
cnf(refute_0_13611,plain,
not(xor(X_377,or(t1,and(a,not(t4))))) = xor(X_377,xor(t1,or(t4,not(a)))),
inference(resolve,[$cnf( $equal(not(xor(X_377,or(t1,and(a,not(t4))))),xor(X_377,not(or(t1,and(a,not(t4)))))) )],[refute_0_13590,refute_0_13610]) ).
cnf(refute_0_13612,plain,
not(xor(b,or(t1,and(a,not(t4))))) = xor(b,xor(t1,or(t4,not(a)))),
inference(subst,[],[refute_0_13611:[bind(X_377,$fot(b))]]) ).
cnf(refute_0_13613,plain,
( not(xor(b,or(t1,and(a,not(t4))))) != xor(b,xor(t1,or(t4,not(a))))
| xor(b,xor(t1,or(t4,not(a)))) != xor(t3,or(t4,not(a)))
| not(xor(b,or(t1,and(a,not(t4))))) = xor(t3,or(t4,not(a))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(b,or(t1,and(a,not(t4))))))),bind(Y0,$fot(xor(b,xor(t1,or(t4,not(a)))))),bind(Z0,$fot(xor(t3,or(t4,not(a)))))]]) ).
cnf(refute_0_13614,plain,
( xor(b,xor(t1,or(t4,not(a)))) != xor(t3,or(t4,not(a)))
| not(xor(b,or(t1,and(a,not(t4))))) = xor(t3,or(t4,not(a))) ),
inference(resolve,[$cnf( $equal(not(xor(b,or(t1,and(a,not(t4))))),xor(b,xor(t1,or(t4,not(a))))) )],[refute_0_13612,refute_0_13613]) ).
cnf(refute_0_13615,plain,
not(xor(b,or(t1,and(a,not(t4))))) = xor(t3,or(t4,not(a))),
inference(resolve,[$cnf( $equal(xor(b,xor(t1,or(t4,not(a)))),xor(t3,or(t4,not(a)))) )],[refute_0_13589,refute_0_13614]) ).
cnf(refute_0_13616,plain,
xor(b,not(or(t1,and(a,not(t4))))) = not(xor(b,or(t1,and(a,not(t4))))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(b)),bind(X_334,$fot(or(t1,and(a,not(t4)))))]]) ).
cnf(refute_0_13617,plain,
( not(xor(b,or(t1,and(a,not(t4))))) != xor(t3,or(t4,not(a)))
| xor(b,not(or(t1,and(a,not(t4))))) != not(xor(b,or(t1,and(a,not(t4)))))
| xor(b,not(or(t1,and(a,not(t4))))) = xor(t3,or(t4,not(a))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(b,not(or(t1,and(a,not(t4))))))),bind(Y0,$fot(not(xor(b,or(t1,and(a,not(t4))))))),bind(Z0,$fot(xor(t3,or(t4,not(a)))))]]) ).
cnf(refute_0_13618,plain,
( not(xor(b,or(t1,and(a,not(t4))))) != xor(t3,or(t4,not(a)))
| xor(b,not(or(t1,and(a,not(t4))))) = xor(t3,or(t4,not(a))) ),
inference(resolve,[$cnf( $equal(xor(b,not(or(t1,and(a,not(t4))))),not(xor(b,or(t1,and(a,not(t4)))))) )],[refute_0_13616,refute_0_13617]) ).
cnf(refute_0_13619,plain,
xor(b,not(or(t1,and(a,not(t4))))) = xor(t3,or(t4,not(a))),
inference(resolve,[$cnf( $equal(not(xor(b,or(t1,and(a,not(t4))))),xor(t3,or(t4,not(a)))) )],[refute_0_13615,refute_0_13618]) ).
cnf(refute_0_13620,plain,
( b != xor(b,not(or(t1,and(a,not(t4)))))
| xor(b,not(or(t1,and(a,not(t4))))) != xor(t3,or(t4,not(a)))
| b = xor(t3,or(t4,not(a))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(b,xor(t3,or(t4,not(a)))) ),[0],$fot(xor(b,not(or(t1,and(a,not(t4))))))]]) ).
cnf(refute_0_13621,plain,
( b != xor(b,not(or(t1,and(a,not(t4)))))
| b = xor(t3,or(t4,not(a))) ),
inference(resolve,[$cnf( $equal(xor(b,not(or(t1,and(a,not(t4))))),xor(t3,or(t4,not(a)))) )],[refute_0_13619,refute_0_13620]) ).
cnf(refute_0_13622,plain,
( not(and(t3,or(t4,not(a)))) != xor(b,not(or(t1,and(a,not(t4)))))
| b = xor(t3,or(t4,not(a))) ),
inference(resolve,[$cnf( $equal(b,xor(b,not(or(t1,and(a,not(t4)))))) )],[refute_0_13588,refute_0_13621]) ).
cnf(refute_0_13623,plain,
b = xor(t3,or(t4,not(a))),
inference(resolve,[$cnf( $equal(not(and(t3,or(t4,not(a)))),xor(b,not(or(t1,and(a,not(t4)))))) )],[refute_0_13479,refute_0_13622]) ).
cnf(refute_0_13624,plain,
( b != xor(t3,or(t4,not(a)))
| xor(t3,or(t4,not(a))) = b ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(b)),bind(Y0,$fot(xor(t3,or(t4,not(a)))))]]) ).
cnf(refute_0_13625,plain,
xor(t3,or(t4,not(a))) = b,
inference(resolve,[$cnf( $equal(b,xor(t3,or(t4,not(a)))) )],[refute_0_13623,refute_0_13624]) ).
cnf(refute_0_13626,plain,
( xor(t3,or(t4,not(a))) != b
| xor(t3,xor(t3,or(t4,not(a)))) != or(t4,not(a))
| xor(t3,b) = or(t4,not(a)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,xor(t3,or(t4,not(a)))),or(t4,not(a))) ),[0,1],$fot(b)]]) ).
cnf(refute_0_13627,plain,
( xor(t3,xor(t3,or(t4,not(a)))) != or(t4,not(a))
| xor(t3,b) = or(t4,not(a)) ),
inference(resolve,[$cnf( $equal(xor(t3,or(t4,not(a))),b) )],[refute_0_13625,refute_0_13626]) ).
cnf(refute_0_13628,plain,
xor(t3,b) = or(t4,not(a)),
inference(resolve,[$cnf( $equal(xor(t3,xor(t3,or(t4,not(a)))),or(t4,not(a))) )],[refute_0_13363,refute_0_13627]) ).
cnf(refute_0_13629,plain,
not(and(b,t3)) = not(and(b,t3)),
introduced(tautology,[refl,[$fot(not(and(b,t3)))]]) ).
cnf(refute_0_13630,plain,
( and(b,t3) != not(t1)
| not(and(b,t3)) != not(and(b,t3))
| not(and(b,t3)) = not(not(t1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(b,t3)),not(and(b,t3))) ),[1,0],$fot(not(t1))]]) ).
cnf(refute_0_13631,plain,
( and(b,t3) != not(t1)
| not(and(b,t3)) = not(not(t1)) ),
inference(resolve,[$cnf( $equal(not(and(b,t3)),not(and(b,t3))) )],[refute_0_13629,refute_0_13630]) ).
cnf(refute_0_13632,plain,
not(and(b,t3)) = not(not(t1)),
inference(resolve,[$cnf( $equal(and(b,t3),not(t1)) )],[refute_0_3563,refute_0_13631]) ).
cnf(refute_0_13633,plain,
( not(and(b,t3)) != not(not(t1))
| not(not(t1)) != t1
| not(and(b,t3)) = t1 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(b,t3)))),bind(Y0,$fot(not(not(t1)))),bind(Z0,$fot(t1))]]) ).
cnf(refute_0_13634,plain,
( not(not(t1)) != t1
| not(and(b,t3)) = t1 ),
inference(resolve,[$cnf( $equal(not(and(b,t3)),not(not(t1))) )],[refute_0_13632,refute_0_13633]) ).
cnf(refute_0_13635,plain,
not(and(b,t3)) = t1,
inference(resolve,[$cnf( $equal(not(not(t1)),t1) )],[refute_0_3279,refute_0_13634]) ).
cnf(refute_0_13636,plain,
( not(and(b,t3)) != t1
| not(and(b,t3)) != xor(b,t3)
| t1 = xor(b,t3) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(b,t3)),xor(b,t3)) ),[0],$fot(t1)]]) ).
cnf(refute_0_13637,plain,
( not(and(b,t3)) != xor(b,t3)
| t1 = xor(b,t3) ),
inference(resolve,[$cnf( $equal(not(and(b,t3)),t1) )],[refute_0_13635,refute_0_13636]) ).
cnf(refute_0_13638,plain,
t1 = xor(b,t3),
inference(resolve,[$cnf( $equal(not(and(b,t3)),xor(b,t3)) )],[refute_0_3344,refute_0_13637]) ).
cnf(refute_0_13639,plain,
( t1 != xor(b,t3)
| xor(b,t3) = t1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(t1)),bind(Y0,$fot(xor(b,t3)))]]) ).
cnf(refute_0_13640,plain,
xor(b,t3) = t1,
inference(resolve,[$cnf( $equal(t1,xor(b,t3)) )],[refute_0_13638,refute_0_13639]) ).
cnf(refute_0_13641,plain,
( xor(b,t3) != t1
| xor(t3,b) != xor(b,t3)
| xor(t3,b) = t1 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t3,b))),bind(Y0,$fot(xor(b,t3))),bind(Z0,$fot(t1))]]) ).
cnf(refute_0_13642,plain,
( xor(b,t3) != t1
| xor(t3,b) = t1 ),
inference(resolve,[$cnf( $equal(xor(t3,b),xor(b,t3)) )],[refute_0_3482,refute_0_13641]) ).
cnf(refute_0_13643,plain,
xor(t3,b) = t1,
inference(resolve,[$cnf( $equal(xor(b,t3),t1) )],[refute_0_13640,refute_0_13642]) ).
cnf(refute_0_13644,plain,
( xor(t3,b) != or(t4,not(a))
| xor(t3,b) != t1
| t1 = or(t4,not(a)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,b),or(t4,not(a))) ),[0],$fot(t1)]]) ).
cnf(refute_0_13645,plain,
( xor(t3,b) != or(t4,not(a))
| t1 = or(t4,not(a)) ),
inference(resolve,[$cnf( $equal(xor(t3,b),t1) )],[refute_0_13643,refute_0_13644]) ).
cnf(refute_0_13646,plain,
t1 = or(t4,not(a)),
inference(resolve,[$cnf( $equal(xor(t3,b),or(t4,not(a))) )],[refute_0_13628,refute_0_13645]) ).
cnf(refute_0_13647,plain,
( t1 != or(t4,not(a))
| or(t4,not(a)) = t1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(t1)),bind(Y0,$fot(or(t4,not(a))))]]) ).
cnf(refute_0_13648,plain,
or(t4,not(a)) = t1,
inference(resolve,[$cnf( $equal(t1,or(t4,not(a))) )],[refute_0_13646,refute_0_13647]) ).
cnf(refute_0_13649,plain,
( or(or(t4,not(a)),Z) != or(t4,or(not(a),Z))
| or(t4,not(a)) != t1
| or(t1,Z) = or(t4,or(not(a),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t4,not(a)),Z),or(t4,or(not(a),Z))) ),[0,0],$fot(t1)]]) ).
cnf(refute_0_13650,plain,
( or(or(t4,not(a)),Z) != or(t4,or(not(a),Z))
| or(t1,Z) = or(t4,or(not(a),Z)) ),
inference(resolve,[$cnf( $equal(or(t4,not(a)),t1) )],[refute_0_13648,refute_0_13649]) ).
cnf(refute_0_13651,plain,
or(t1,Z) = or(t4,or(not(a),Z)),
inference(resolve,[$cnf( $equal(or(or(t4,not(a)),Z),or(t4,or(not(a),Z))) )],[refute_0_13362,refute_0_13650]) ).
cnf(refute_0_13652,plain,
( or(t1,Z) != or(t4,or(not(a),Z))
| or(t4,or(not(a),Z)) = or(t1,Z) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(t1,Z))),bind(Y0,$fot(or(t4,or(not(a),Z))))]]) ).
cnf(refute_0_13653,plain,
or(t4,or(not(a),Z)) = or(t1,Z),
inference(resolve,[$cnf( $equal(or(t1,Z),or(t4,or(not(a),Z))) )],[refute_0_13651,refute_0_13652]) ).
cnf(refute_0_13654,plain,
or(t4,or(not(a),and(sum,t1))) = or(t1,and(sum,t1)),
inference(subst,[],[refute_0_13653:[bind(Z,$fot(and(sum,t1)))]]) ).
cnf(refute_0_13655,plain,
( or(t1,and(sum,t1)) != t1
| or(t4,or(not(a),and(sum,t1))) != or(t1,and(sum,t1))
| or(t4,or(not(a),and(sum,t1))) = t1 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t4,or(not(a),and(sum,t1))))),bind(Y0,$fot(or(t1,and(sum,t1)))),bind(Z0,$fot(t1))]]) ).
cnf(refute_0_13656,plain,
( or(t1,and(sum,t1)) != t1
| or(t4,or(not(a),and(sum,t1))) = t1 ),
inference(resolve,[$cnf( $equal(or(t4,or(not(a),and(sum,t1))),or(t1,and(sum,t1))) )],[refute_0_13654,refute_0_13655]) ).
cnf(refute_0_13657,plain,
or(t4,or(not(a),and(sum,t1))) = t1,
inference(resolve,[$cnf( $equal(or(t1,and(sum,t1)),t1) )],[refute_0_13361,refute_0_13656]) ).
cnf(refute_0_13658,plain,
or(not(a),or(t4,and(sum,t1))) = or(t4,or(not(a),and(sum,t1))),
inference(subst,[],[refute_0_267:[bind(X_37,$fot(not(a))),bind(X_38,$fot(t4)),bind(X_39,$fot(and(sum,t1)))]]) ).
cnf(refute_0_13659,plain,
( or(not(a),or(t4,and(sum,t1))) != or(t4,or(not(a),and(sum,t1)))
| or(t4,or(not(a),and(sum,t1))) != t1
| or(not(a),or(t4,and(sum,t1))) = t1 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(a),or(t4,and(sum,t1))))),bind(Y0,$fot(or(t4,or(not(a),and(sum,t1))))),bind(Z0,$fot(t1))]]) ).
cnf(refute_0_13660,plain,
( or(t4,or(not(a),and(sum,t1))) != t1
| or(not(a),or(t4,and(sum,t1))) = t1 ),
inference(resolve,[$cnf( $equal(or(not(a),or(t4,and(sum,t1))),or(t4,or(not(a),and(sum,t1)))) )],[refute_0_13658,refute_0_13659]) ).
cnf(refute_0_13661,plain,
or(not(a),or(t4,and(sum,t1))) = t1,
inference(resolve,[$cnf( $equal(or(t4,or(not(a),and(sum,t1))),t1) )],[refute_0_13657,refute_0_13660]) ).
cnf(refute_0_13662,plain,
and(t3,or(not(a),or(t4,and(sum,t1)))) = and(t3,or(not(a),or(t4,and(sum,t1)))),
introduced(tautology,[refl,[$fot(and(t3,or(not(a),or(t4,and(sum,t1)))))]]) ).
cnf(refute_0_13663,plain,
( and(t3,or(not(a),or(t4,and(sum,t1)))) != and(t3,or(not(a),or(t4,and(sum,t1))))
| or(not(a),or(t4,and(sum,t1))) != t1
| and(t3,or(not(a),or(t4,and(sum,t1)))) = and(t3,t1) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,or(not(a),or(t4,and(sum,t1)))),and(t3,or(not(a),or(t4,and(sum,t1))))) ),[1,1],$fot(t1)]]) ).
cnf(refute_0_13664,plain,
( or(not(a),or(t4,and(sum,t1))) != t1
| and(t3,or(not(a),or(t4,and(sum,t1)))) = and(t3,t1) ),
inference(resolve,[$cnf( $equal(and(t3,or(not(a),or(t4,and(sum,t1)))),and(t3,or(not(a),or(t4,and(sum,t1))))) )],[refute_0_13662,refute_0_13663]) ).
cnf(refute_0_13665,plain,
and(t3,or(not(a),or(t4,and(sum,t1)))) = and(t3,t1),
inference(resolve,[$cnf( $equal(or(not(a),or(t4,and(sum,t1))),t1) )],[refute_0_13661,refute_0_13664]) ).
cnf(refute_0_13666,plain,
( and(t3,or(not(a),or(t4,and(sum,t1)))) != and(t3,t1)
| and(t3,t1) != not(b)
| and(t3,or(not(a),or(t4,and(sum,t1)))) = not(b) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t3,or(not(a),or(t4,and(sum,t1)))))),bind(Y0,$fot(and(t3,t1))),bind(Z0,$fot(not(b)))]]) ).
cnf(refute_0_13667,plain,
( and(t3,t1) != not(b)
| and(t3,or(not(a),or(t4,and(sum,t1)))) = not(b) ),
inference(resolve,[$cnf( $equal(and(t3,or(not(a),or(t4,and(sum,t1)))),and(t3,t1)) )],[refute_0_13665,refute_0_13666]) ).
cnf(refute_0_13668,plain,
and(t3,or(not(a),or(t4,and(sum,t1)))) = not(b),
inference(resolve,[$cnf( $equal(and(t3,t1),not(b)) )],[refute_0_13360,refute_0_13667]) ).
cnf(refute_0_13669,plain,
or(and(X_752,X_754),and(X_752,X_753)) = or(and(X_752,X_753),and(X_752,X_754)),
inference(subst,[],[or_commutative:[bind(X,$fot(and(X_752,X_754))),bind(Y,$fot(and(X_752,X_753)))]]) ).
cnf(refute_0_13670,plain,
( and(X_752,or(X_753,X_754)) != or(and(X_752,X_753),and(X_752,X_754))
| or(and(X_752,X_753),and(X_752,X_754)) = and(X_752,or(X_753,X_754)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X_752,or(X_753,X_754)))),bind(Y0,$fot(or(and(X_752,X_753),and(X_752,X_754))))]]) ).
cnf(refute_0_13671,plain,
or(and(X_752,X_753),and(X_752,X_754)) = and(X_752,or(X_753,X_754)),
inference(resolve,[$cnf( $equal(and(X_752,or(X_753,X_754)),or(and(X_752,X_753),and(X_752,X_754))) )],[refute_0_4235,refute_0_13670]) ).
cnf(refute_0_13672,plain,
( or(and(X_752,X_753),and(X_752,X_754)) != and(X_752,or(X_753,X_754))
| or(and(X_752,X_754),and(X_752,X_753)) != or(and(X_752,X_753),and(X_752,X_754))
| or(and(X_752,X_754),and(X_752,X_753)) = and(X_752,or(X_753,X_754)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X_752,X_754),and(X_752,X_753)),or(and(X_752,X_753),and(X_752,X_754))) ),[1],$fot(and(X_752,or(X_753,X_754)))]]) ).
cnf(refute_0_13673,plain,
( or(and(X_752,X_754),and(X_752,X_753)) != or(and(X_752,X_753),and(X_752,X_754))
| or(and(X_752,X_754),and(X_752,X_753)) = and(X_752,or(X_753,X_754)) ),
inference(resolve,[$cnf( $equal(or(and(X_752,X_753),and(X_752,X_754)),and(X_752,or(X_753,X_754))) )],[refute_0_13671,refute_0_13672]) ).
cnf(refute_0_13674,plain,
or(and(X_752,X_754),and(X_752,X_753)) = and(X_752,or(X_753,X_754)),
inference(resolve,[$cnf( $equal(or(and(X_752,X_754),and(X_752,X_753)),or(and(X_752,X_753),and(X_752,X_754))) )],[refute_0_13669,refute_0_13673]) ).
cnf(refute_0_13675,plain,
or(and(X_752,X_754),and(X_752,X_753)) = and(X_752,or(X_754,X_753)),
inference(subst,[],[refute_0_3842:[bind(X,$fot(X_752)),bind(Y,$fot(X_754)),bind(Z,$fot(X_753))]]) ).
cnf(refute_0_13676,plain,
( or(and(X_752,X_754),and(X_752,X_753)) != and(X_752,or(X_753,X_754))
| or(and(X_752,X_754),and(X_752,X_753)) != and(X_752,or(X_754,X_753))
| and(X_752,or(X_754,X_753)) = and(X_752,or(X_753,X_754)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X_752,X_754),and(X_752,X_753)),and(X_752,or(X_753,X_754))) ),[0],$fot(and(X_752,or(X_754,X_753)))]]) ).
cnf(refute_0_13677,plain,
( or(and(X_752,X_754),and(X_752,X_753)) != and(X_752,or(X_753,X_754))
| and(X_752,or(X_754,X_753)) = and(X_752,or(X_753,X_754)) ),
inference(resolve,[$cnf( $equal(or(and(X_752,X_754),and(X_752,X_753)),and(X_752,or(X_754,X_753))) )],[refute_0_13675,refute_0_13676]) ).
cnf(refute_0_13678,plain,
and(X_752,or(X_754,X_753)) = and(X_752,or(X_753,X_754)),
inference(resolve,[$cnf( $equal(or(and(X_752,X_754),and(X_752,X_753)),and(X_752,or(X_753,X_754))) )],[refute_0_13674,refute_0_13677]) ).
cnf(refute_0_13679,plain,
( and(X_752,or(X_754,X_753)) != and(X_752,or(X_753,X_754))
| and(X_752,or(X_753,X_754)) = and(X_752,or(X_754,X_753)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X_752,or(X_754,X_753)))),bind(Y0,$fot(and(X_752,or(X_753,X_754))))]]) ).
cnf(refute_0_13680,plain,
and(X_752,or(X_753,X_754)) = and(X_752,or(X_754,X_753)),
inference(resolve,[$cnf( $equal(and(X_752,or(X_754,X_753)),and(X_752,or(X_753,X_754))) )],[refute_0_13678,refute_0_13679]) ).
cnf(refute_0_13681,plain,
and(t3,or(or(t4,and(sum,t1)),not(a))) = and(t3,or(not(a),or(t4,and(sum,t1)))),
inference(subst,[],[refute_0_13680:[bind(X_752,$fot(t3)),bind(X_753,$fot(or(t4,and(sum,t1)))),bind(X_754,$fot(not(a)))]]) ).
cnf(refute_0_13682,plain,
( and(t3,or(not(a),or(t4,and(sum,t1)))) != not(b)
| and(t3,or(or(t4,and(sum,t1)),not(a))) != and(t3,or(not(a),or(t4,and(sum,t1))))
| and(t3,or(or(t4,and(sum,t1)),not(a))) = not(b) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t3,or(or(t4,and(sum,t1)),not(a))))),bind(Y0,$fot(and(t3,or(not(a),or(t4,and(sum,t1)))))),bind(Z0,$fot(not(b)))]]) ).
cnf(refute_0_13683,plain,
( and(t3,or(not(a),or(t4,and(sum,t1)))) != not(b)
| and(t3,or(or(t4,and(sum,t1)),not(a))) = not(b) ),
inference(resolve,[$cnf( $equal(and(t3,or(or(t4,and(sum,t1)),not(a))),and(t3,or(not(a),or(t4,and(sum,t1))))) )],[refute_0_13681,refute_0_13682]) ).
cnf(refute_0_13684,plain,
and(t3,or(or(t4,and(sum,t1)),not(a))) = not(b),
inference(resolve,[$cnf( $equal(and(t3,or(not(a),or(t4,and(sum,t1)))),not(b)) )],[refute_0_13668,refute_0_13683]) ).
cnf(refute_0_13685,plain,
( and(t3,or(or(t4,and(sum,t1)),not(a))) != not(b)
| and(t3,or(or(t4,and(sum,t1)),not(a))) != xor(t3,and(a,xor(t4,or(a,t7))))
| not(b) = xor(t3,and(a,xor(t4,or(a,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,or(or(t4,and(sum,t1)),not(a))),xor(t3,and(a,xor(t4,or(a,t7))))) ),[0],$fot(not(b))]]) ).
cnf(refute_0_13686,plain,
( and(t3,or(or(t4,and(sum,t1)),not(a))) != xor(t3,and(a,xor(t4,or(a,t7))))
| not(b) = xor(t3,and(a,xor(t4,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(and(t3,or(or(t4,and(sum,t1)),not(a))),not(b)) )],[refute_0_13684,refute_0_13685]) ).
cnf(refute_0_13687,plain,
not(b) = xor(t3,and(a,xor(t4,or(a,t7)))),
inference(resolve,[$cnf( $equal(and(t3,or(or(t4,and(sum,t1)),not(a))),xor(t3,and(a,xor(t4,or(a,t7))))) )],[refute_0_13356,refute_0_13686]) ).
cnf(refute_0_13688,plain,
( not(b) != xor(t3,and(a,xor(t4,or(a,t7))))
| xor(t3,and(a,xor(t4,or(a,t7)))) = not(b) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(b))),bind(Y0,$fot(xor(t3,and(a,xor(t4,or(a,t7))))))]]) ).
cnf(refute_0_13689,plain,
xor(t3,and(a,xor(t4,or(a,t7)))) = not(b),
inference(resolve,[$cnf( $equal(not(b),xor(t3,and(a,xor(t4,or(a,t7))))) )],[refute_0_13687,refute_0_13688]) ).
cnf(refute_0_13690,plain,
( xor(t3,and(a,xor(t4,or(a,t7)))) != not(b)
| xor(t3,xor(t3,and(a,xor(t4,or(a,t7))))) != and(a,xor(t4,or(a,t7)))
| xor(t3,not(b)) = and(a,xor(t4,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,xor(t3,and(a,xor(t4,or(a,t7))))),and(a,xor(t4,or(a,t7)))) ),[0,1],$fot(not(b))]]) ).
cnf(refute_0_13691,plain,
( xor(t3,xor(t3,and(a,xor(t4,or(a,t7))))) != and(a,xor(t4,or(a,t7)))
| xor(t3,not(b)) = and(a,xor(t4,or(a,t7))) ),
inference(resolve,[$cnf( $equal(xor(t3,and(a,xor(t4,or(a,t7)))),not(b)) )],[refute_0_13689,refute_0_13690]) ).
cnf(refute_0_13692,plain,
xor(t3,not(b)) = and(a,xor(t4,or(a,t7))),
inference(resolve,[$cnf( $equal(xor(t3,xor(t3,and(a,xor(t4,or(a,t7))))),and(a,xor(t4,or(a,t7)))) )],[refute_0_13295,refute_0_13691]) ).
cnf(refute_0_13693,plain,
not(xor(b,t3)) = not(xor(b,t3)),
introduced(tautology,[refl,[$fot(not(xor(b,t3)))]]) ).
cnf(refute_0_13694,plain,
( not(xor(b,t3)) != not(xor(b,t3))
| xor(b,t3) != t1
| not(xor(b,t3)) = not(t1) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(b,t3)),not(xor(b,t3))) ),[1,0],$fot(t1)]]) ).
cnf(refute_0_13695,plain,
( xor(b,t3) != t1
| not(xor(b,t3)) = not(t1) ),
inference(resolve,[$cnf( $equal(not(xor(b,t3)),not(xor(b,t3))) )],[refute_0_13693,refute_0_13694]) ).
cnf(refute_0_13696,plain,
not(xor(b,t3)) = not(t1),
inference(resolve,[$cnf( $equal(xor(b,t3),t1) )],[refute_0_13640,refute_0_13695]) ).
cnf(refute_0_13697,plain,
( not(xor(t3,b)) != not(xor(b,t3))
| xor(t3,not(b)) != not(xor(t3,b))
| xor(t3,not(b)) = not(xor(b,t3)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t3,not(b)))),bind(Y0,$fot(not(xor(t3,b)))),bind(Z0,$fot(not(xor(b,t3))))]]) ).
cnf(refute_0_13698,plain,
( not(xor(t3,b)) != not(xor(b,t3))
| xor(t3,not(b)) = not(xor(b,t3)) ),
inference(resolve,[$cnf( $equal(xor(t3,not(b)),not(xor(t3,b))) )],[refute_0_3490,refute_0_13697]) ).
cnf(refute_0_13699,plain,
xor(t3,not(b)) = not(xor(b,t3)),
inference(resolve,[$cnf( $equal(not(xor(t3,b)),not(xor(b,t3))) )],[refute_0_3486,refute_0_13698]) ).
cnf(refute_0_13700,plain,
( not(xor(b,t3)) != not(t1)
| xor(t3,not(b)) != not(xor(b,t3))
| xor(t3,not(b)) = not(t1) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t3,not(b)))),bind(Y0,$fot(not(xor(b,t3)))),bind(Z0,$fot(not(t1)))]]) ).
cnf(refute_0_13701,plain,
( not(xor(b,t3)) != not(t1)
| xor(t3,not(b)) = not(t1) ),
inference(resolve,[$cnf( $equal(xor(t3,not(b)),not(xor(b,t3))) )],[refute_0_13699,refute_0_13700]) ).
cnf(refute_0_13702,plain,
xor(t3,not(b)) = not(t1),
inference(resolve,[$cnf( $equal(not(xor(b,t3)),not(t1)) )],[refute_0_13696,refute_0_13701]) ).
cnf(refute_0_13703,plain,
( xor(t3,not(b)) != and(a,xor(t4,or(a,t7)))
| xor(t3,not(b)) != not(t1)
| not(t1) = and(a,xor(t4,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,not(b)),and(a,xor(t4,or(a,t7)))) ),[0],$fot(not(t1))]]) ).
cnf(refute_0_13704,plain,
( xor(t3,not(b)) != and(a,xor(t4,or(a,t7)))
| not(t1) = and(a,xor(t4,or(a,t7))) ),
inference(resolve,[$cnf( $equal(xor(t3,not(b)),not(t1)) )],[refute_0_13702,refute_0_13703]) ).
cnf(refute_0_13705,plain,
not(t1) = and(a,xor(t4,or(a,t7))),
inference(resolve,[$cnf( $equal(xor(t3,not(b)),and(a,xor(t4,or(a,t7)))) )],[refute_0_13692,refute_0_13704]) ).
cnf(refute_0_13706,plain,
( not(t1) != and(a,xor(t4,or(a,t7)))
| and(a,xor(t4,or(a,t7))) = not(t1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t1))),bind(Y0,$fot(and(a,xor(t4,or(a,t7)))))]]) ).
cnf(refute_0_13707,plain,
and(a,xor(t4,or(a,t7))) = not(t1),
inference(resolve,[$cnf( $equal(not(t1),and(a,xor(t4,or(a,t7)))) )],[refute_0_13705,refute_0_13706]) ).
cnf(refute_0_13708,plain,
( and(a,xor(t4,or(a,t7))) != not(t1)
| or(xor(t4,or(a,t7)),and(a,xor(t4,or(a,t7)))) != xor(t4,or(a,t7))
| or(xor(t4,or(a,t7)),not(t1)) = xor(t4,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(t4,or(a,t7)),and(a,xor(t4,or(a,t7)))),xor(t4,or(a,t7))) ),[0,1],$fot(not(t1))]]) ).
cnf(refute_0_13709,plain,
( or(xor(t4,or(a,t7)),and(a,xor(t4,or(a,t7)))) != xor(t4,or(a,t7))
| or(xor(t4,or(a,t7)),not(t1)) = xor(t4,or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(a,xor(t4,or(a,t7))),not(t1)) )],[refute_0_13707,refute_0_13708]) ).
cnf(refute_0_13710,plain,
or(xor(t4,or(a,t7)),not(t1)) = xor(t4,or(a,t7)),
inference(resolve,[$cnf( $equal(or(xor(t4,or(a,t7)),and(a,xor(t4,or(a,t7)))),xor(t4,or(a,t7))) )],[refute_0_13294,refute_0_13709]) ).
cnf(refute_0_13711,plain,
and(t1,or(sum,t4)) = and(t1,or(sum,t4)),
introduced(tautology,[refl,[$fot(and(t1,or(sum,t4)))]]) ).
cnf(refute_0_13712,plain,
( and(t1,or(sum,t4)) != and(t1,or(sum,t4))
| or(sum,t4) != or(cin,sum)
| and(t1,or(sum,t4)) = and(t1,or(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,or(sum,t4)),and(t1,or(sum,t4))) ),[1,1],$fot(or(cin,sum))]]) ).
cnf(refute_0_13713,plain,
( or(sum,t4) != or(cin,sum)
| and(t1,or(sum,t4)) = and(t1,or(cin,sum)) ),
inference(resolve,[$cnf( $equal(and(t1,or(sum,t4)),and(t1,or(sum,t4))) )],[refute_0_13711,refute_0_13712]) ).
cnf(refute_0_13714,plain,
and(t1,or(sum,t4)) = and(t1,or(cin,sum)),
inference(resolve,[$cnf( $equal(or(sum,t4),or(cin,sum)) )],[refute_0_2534,refute_0_13713]) ).
cnf(refute_0_13715,plain,
and(t1,or(t4,sum)) = and(t1,or(sum,t4)),
inference(subst,[],[refute_0_13680:[bind(X_752,$fot(t1)),bind(X_753,$fot(t4)),bind(X_754,$fot(sum))]]) ).
cnf(refute_0_13716,plain,
and(X_752,or(X_753,and(Y,X_752))) = or(and(X_752,X_753),and(X_752,and(Y,X_752))),
inference(subst,[],[or_distributive:[bind(X,$fot(X_752)),bind(Y,$fot(X_753)),bind(Z,$fot(and(Y,X_752)))]]) ).
cnf(refute_0_13717,plain,
and(X_752,and(Y,X_752)) = and(X_752,Y),
inference(subst,[],[refute_0_4181:[bind(X_22,$fot(X_752))]]) ).
cnf(refute_0_13718,plain,
( and(X_752,and(Y,X_752)) != and(X_752,Y)
| and(X_752,or(X_753,and(Y,X_752))) != or(and(X_752,X_753),and(X_752,and(Y,X_752)))
| and(X_752,or(X_753,and(Y,X_752))) = or(and(X_752,X_753),and(X_752,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(and(X_752,or(X_753,and(Y,X_752))),or(and(X_752,X_753),and(X_752,and(Y,X_752)))) ),[1,1],$fot(and(X_752,Y))]]) ).
cnf(refute_0_13719,plain,
( and(X_752,or(X_753,and(Y,X_752))) != or(and(X_752,X_753),and(X_752,and(Y,X_752)))
| and(X_752,or(X_753,and(Y,X_752))) = or(and(X_752,X_753),and(X_752,Y)) ),
inference(resolve,[$cnf( $equal(and(X_752,and(Y,X_752)),and(X_752,Y)) )],[refute_0_13717,refute_0_13718]) ).
cnf(refute_0_13720,plain,
and(X_752,or(X_753,and(Y,X_752))) = or(and(X_752,X_753),and(X_752,Y)),
inference(resolve,[$cnf( $equal(and(X_752,or(X_753,and(Y,X_752))),or(and(X_752,X_753),and(X_752,and(Y,X_752)))) )],[refute_0_13716,refute_0_13719]) ).
cnf(refute_0_13721,plain,
or(and(X_752,X_753),and(X_752,Y)) = and(X_752,or(X_753,Y)),
inference(subst,[],[refute_0_3842:[bind(X,$fot(X_752)),bind(Y,$fot(X_753)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_13722,plain,
( and(X_752,or(X_753,and(Y,X_752))) != or(and(X_752,X_753),and(X_752,Y))
| or(and(X_752,X_753),and(X_752,Y)) != and(X_752,or(X_753,Y))
| and(X_752,or(X_753,and(Y,X_752))) = and(X_752,or(X_753,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(X_752,or(X_753,and(Y,X_752))),and(X_752,or(X_753,Y))) ),[0],$fot(or(and(X_752,X_753),and(X_752,Y)))]]) ).
cnf(refute_0_13723,plain,
( and(X_752,or(X_753,and(Y,X_752))) != or(and(X_752,X_753),and(X_752,Y))
| and(X_752,or(X_753,and(Y,X_752))) = and(X_752,or(X_753,Y)) ),
inference(resolve,[$cnf( $equal(or(and(X_752,X_753),and(X_752,Y)),and(X_752,or(X_753,Y))) )],[refute_0_13721,refute_0_13722]) ).
cnf(refute_0_13724,plain,
and(X_752,or(X_753,and(Y,X_752))) = and(X_752,or(X_753,Y)),
inference(resolve,[$cnf( $equal(and(X_752,or(X_753,and(Y,X_752))),or(and(X_752,X_753),and(X_752,Y))) )],[refute_0_13720,refute_0_13723]) ).
cnf(refute_0_13725,plain,
and(t1,or(t4,and(sum,t1))) = and(t1,or(t4,sum)),
inference(subst,[],[refute_0_13724:[bind(Y,$fot(sum)),bind(X_752,$fot(t1)),bind(X_753,$fot(t4))]]) ).
cnf(refute_0_13726,plain,
( and(t1,or(t4,and(sum,t1))) != and(t1,or(t4,sum))
| and(t1,or(t4,sum)) != and(t1,or(sum,t4))
| and(t1,or(t4,and(sum,t1))) = and(t1,or(sum,t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t1,or(t4,and(sum,t1))))),bind(Y0,$fot(and(t1,or(t4,sum)))),bind(Z0,$fot(and(t1,or(sum,t4))))]]) ).
cnf(refute_0_13727,plain,
( and(t1,or(t4,sum)) != and(t1,or(sum,t4))
| and(t1,or(t4,and(sum,t1))) = and(t1,or(sum,t4)) ),
inference(resolve,[$cnf( $equal(and(t1,or(t4,and(sum,t1))),and(t1,or(t4,sum))) )],[refute_0_13725,refute_0_13726]) ).
cnf(refute_0_13728,plain,
and(t1,or(t4,and(sum,t1))) = and(t1,or(sum,t4)),
inference(resolve,[$cnf( $equal(and(t1,or(t4,sum)),and(t1,or(sum,t4))) )],[refute_0_13715,refute_0_13727]) ).
cnf(refute_0_13729,plain,
( and(t1,or(sum,t4)) != and(t1,or(cin,sum))
| and(t1,or(t4,and(sum,t1))) != and(t1,or(sum,t4))
| and(t1,or(t4,and(sum,t1))) = and(t1,or(cin,sum)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t1,or(t4,and(sum,t1))))),bind(Y0,$fot(and(t1,or(sum,t4)))),bind(Z0,$fot(and(t1,or(cin,sum))))]]) ).
cnf(refute_0_13730,plain,
( and(t1,or(sum,t4)) != and(t1,or(cin,sum))
| and(t1,or(t4,and(sum,t1))) = and(t1,or(cin,sum)) ),
inference(resolve,[$cnf( $equal(and(t1,or(t4,and(sum,t1))),and(t1,or(sum,t4))) )],[refute_0_13728,refute_0_13729]) ).
cnf(refute_0_13731,plain,
and(t1,or(t4,and(sum,t1))) = and(t1,or(cin,sum)),
inference(resolve,[$cnf( $equal(and(t1,or(sum,t4)),and(t1,or(cin,sum))) )],[refute_0_13714,refute_0_13730]) ).
cnf(refute_0_13732,plain,
not(and(t1,or(t4,and(sum,t1)))) = not(and(t1,or(t4,and(sum,t1)))),
introduced(tautology,[refl,[$fot(not(and(t1,or(t4,and(sum,t1)))))]]) ).
cnf(refute_0_13733,plain,
( and(t1,or(t4,and(sum,t1))) != and(t1,or(cin,sum))
| not(and(t1,or(t4,and(sum,t1)))) != not(and(t1,or(t4,and(sum,t1))))
| not(and(t1,or(t4,and(sum,t1)))) = not(and(t1,or(cin,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(t1,or(t4,and(sum,t1)))),not(and(t1,or(t4,and(sum,t1))))) ),[1,0],$fot(and(t1,or(cin,sum)))]]) ).
cnf(refute_0_13734,plain,
( and(t1,or(t4,and(sum,t1))) != and(t1,or(cin,sum))
| not(and(t1,or(t4,and(sum,t1)))) = not(and(t1,or(cin,sum))) ),
inference(resolve,[$cnf( $equal(not(and(t1,or(t4,and(sum,t1)))),not(and(t1,or(t4,and(sum,t1))))) )],[refute_0_13732,refute_0_13733]) ).
cnf(refute_0_13735,plain,
not(and(t1,or(t4,and(sum,t1)))) = not(and(t1,or(cin,sum))),
inference(resolve,[$cnf( $equal(and(t1,or(t4,and(sum,t1))),and(t1,or(cin,sum))) )],[refute_0_13731,refute_0_13734]) ).
cnf(refute_0_13736,plain,
not(and(or(t4,and(sum,t1)),t1)) = not(and(t1,or(t4,and(sum,t1)))),
inference(subst,[],[refute_0_333:[bind(X_31,$fot(or(t4,and(sum,t1)))),bind(X_32,$fot(t1))]]) ).
cnf(refute_0_13737,plain,
not(and(or(t4,and(sum,t1)),Y)) = or(not(or(t4,and(sum,t1))),not(Y)),
inference(subst,[],[and_demorgan:[bind(X,$fot(or(t4,and(sum,t1))))]]) ).
cnf(refute_0_13738,plain,
( not(and(or(t4,and(sum,t1)),Y)) != or(not(or(t4,and(sum,t1))),not(Y))
| not(or(t4,and(sum,t1))) != xor(t4,or(a,t7))
| not(and(or(t4,and(sum,t1)),Y)) = or(xor(t4,or(a,t7)),not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(t4,and(sum,t1)),Y)),or(not(or(t4,and(sum,t1))),not(Y))) ),[1,0],$fot(xor(t4,or(a,t7)))]]) ).
cnf(refute_0_13739,plain,
( not(and(or(t4,and(sum,t1)),Y)) != or(not(or(t4,and(sum,t1))),not(Y))
| not(and(or(t4,and(sum,t1)),Y)) = or(xor(t4,or(a,t7)),not(Y)) ),
inference(resolve,[$cnf( $equal(not(or(t4,and(sum,t1))),xor(t4,or(a,t7))) )],[refute_0_13353,refute_0_13738]) ).
cnf(refute_0_13740,plain,
not(and(or(t4,and(sum,t1)),Y)) = or(xor(t4,or(a,t7)),not(Y)),
inference(resolve,[$cnf( $equal(not(and(or(t4,and(sum,t1)),Y)),or(not(or(t4,and(sum,t1))),not(Y))) )],[refute_0_13737,refute_0_13739]) ).
cnf(refute_0_13741,plain,
( not(and(or(t4,and(sum,t1)),Y)) != or(xor(t4,or(a,t7)),not(Y))
| or(xor(t4,or(a,t7)),not(Y)) = not(and(or(t4,and(sum,t1)),Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(or(t4,and(sum,t1)),Y)))),bind(Y0,$fot(or(xor(t4,or(a,t7)),not(Y))))]]) ).
cnf(refute_0_13742,plain,
or(xor(t4,or(a,t7)),not(Y)) = not(and(or(t4,and(sum,t1)),Y)),
inference(resolve,[$cnf( $equal(not(and(or(t4,and(sum,t1)),Y)),or(xor(t4,or(a,t7)),not(Y))) )],[refute_0_13740,refute_0_13741]) ).
cnf(refute_0_13743,plain,
or(xor(t4,or(a,t7)),not(t1)) = not(and(or(t4,and(sum,t1)),t1)),
inference(subst,[],[refute_0_13742:[bind(Y,$fot(t1))]]) ).
cnf(refute_0_13744,plain,
( not(and(or(t4,and(sum,t1)),t1)) != not(and(t1,or(t4,and(sum,t1))))
| or(xor(t4,or(a,t7)),not(t1)) != not(and(or(t4,and(sum,t1)),t1))
| or(xor(t4,or(a,t7)),not(t1)) = not(and(t1,or(t4,and(sum,t1)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(xor(t4,or(a,t7)),not(t1)))),bind(Y0,$fot(not(and(or(t4,and(sum,t1)),t1)))),bind(Z0,$fot(not(and(t1,or(t4,and(sum,t1))))))]]) ).
cnf(refute_0_13745,plain,
( not(and(or(t4,and(sum,t1)),t1)) != not(and(t1,or(t4,and(sum,t1))))
| or(xor(t4,or(a,t7)),not(t1)) = not(and(t1,or(t4,and(sum,t1)))) ),
inference(resolve,[$cnf( $equal(or(xor(t4,or(a,t7)),not(t1)),not(and(or(t4,and(sum,t1)),t1))) )],[refute_0_13743,refute_0_13744]) ).
cnf(refute_0_13746,plain,
or(xor(t4,or(a,t7)),not(t1)) = not(and(t1,or(t4,and(sum,t1)))),
inference(resolve,[$cnf( $equal(not(and(or(t4,and(sum,t1)),t1)),not(and(t1,or(t4,and(sum,t1))))) )],[refute_0_13736,refute_0_13745]) ).
cnf(refute_0_13747,plain,
( not(and(t1,or(t4,and(sum,t1)))) != not(and(t1,or(cin,sum)))
| or(xor(t4,or(a,t7)),not(t1)) != not(and(t1,or(t4,and(sum,t1))))
| or(xor(t4,or(a,t7)),not(t1)) = not(and(t1,or(cin,sum))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(xor(t4,or(a,t7)),not(t1)))),bind(Y0,$fot(not(and(t1,or(t4,and(sum,t1)))))),bind(Z0,$fot(not(and(t1,or(cin,sum)))))]]) ).
cnf(refute_0_13748,plain,
( not(and(t1,or(t4,and(sum,t1)))) != not(and(t1,or(cin,sum)))
| or(xor(t4,or(a,t7)),not(t1)) = not(and(t1,or(cin,sum))) ),
inference(resolve,[$cnf( $equal(or(xor(t4,or(a,t7)),not(t1)),not(and(t1,or(t4,and(sum,t1))))) )],[refute_0_13746,refute_0_13747]) ).
cnf(refute_0_13749,plain,
or(xor(t4,or(a,t7)),not(t1)) = not(and(t1,or(cin,sum))),
inference(resolve,[$cnf( $equal(not(and(t1,or(t4,and(sum,t1)))),not(and(t1,or(cin,sum)))) )],[refute_0_13735,refute_0_13748]) ).
cnf(refute_0_13750,plain,
( or(xor(t4,or(a,t7)),not(t1)) != not(and(t1,or(cin,sum)))
| or(xor(t4,or(a,t7)),not(t1)) != xor(t4,or(a,t7))
| not(and(t1,or(cin,sum))) = xor(t4,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(t4,or(a,t7)),not(t1)),xor(t4,or(a,t7))) ),[0],$fot(not(and(t1,or(cin,sum))))]]) ).
cnf(refute_0_13751,plain,
( or(xor(t4,or(a,t7)),not(t1)) != xor(t4,or(a,t7))
| not(and(t1,or(cin,sum))) = xor(t4,or(a,t7)) ),
inference(resolve,[$cnf( $equal(or(xor(t4,or(a,t7)),not(t1)),not(and(t1,or(cin,sum)))) )],[refute_0_13749,refute_0_13750]) ).
cnf(refute_0_13752,plain,
not(and(t1,or(cin,sum))) = xor(t4,or(a,t7)),
inference(resolve,[$cnf( $equal(or(xor(t4,or(a,t7)),not(t1)),xor(t4,or(a,t7))) )],[refute_0_13710,refute_0_13751]) ).
cnf(refute_0_13753,plain,
( not(and(t1,or(cin,sum))) != xor(t4,or(a,t7))
| not(not(and(t1,or(cin,sum)))) != and(t1,or(cin,sum))
| not(xor(t4,or(a,t7))) = and(t1,or(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(t1,or(cin,sum)))),and(t1,or(cin,sum))) ),[0,0],$fot(xor(t4,or(a,t7)))]]) ).
cnf(refute_0_13754,plain,
( not(not(and(t1,or(cin,sum)))) != and(t1,or(cin,sum))
| not(xor(t4,or(a,t7))) = and(t1,or(cin,sum)) ),
inference(resolve,[$cnf( $equal(not(and(t1,or(cin,sum))),xor(t4,or(a,t7))) )],[refute_0_13752,refute_0_13753]) ).
cnf(refute_0_13755,plain,
not(xor(t4,or(a,t7))) = and(t1,or(cin,sum)),
inference(resolve,[$cnf( $equal(not(not(and(t1,or(cin,sum)))),and(t1,or(cin,sum))) )],[refute_0_13293,refute_0_13754]) ).
cnf(refute_0_13756,plain,
( not(xor(t4,or(a,t7))) != and(t1,or(cin,sum))
| not(xor(t4,or(a,t7))) != or(t4,and(sum,t1))
| or(t4,and(sum,t1)) = and(t1,or(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t4,or(a,t7))),and(t1,or(cin,sum))) ),[0],$fot(or(t4,and(sum,t1)))]]) ).
cnf(refute_0_13757,plain,
( not(xor(t4,or(a,t7))) != and(t1,or(cin,sum))
| or(t4,and(sum,t1)) = and(t1,or(cin,sum)) ),
inference(resolve,[$cnf( $equal(not(xor(t4,or(a,t7))),or(t4,and(sum,t1))) )],[refute_0_13240,refute_0_13756]) ).
cnf(refute_0_13758,plain,
or(t4,and(sum,t1)) = and(t1,or(cin,sum)),
inference(resolve,[$cnf( $equal(not(xor(t4,or(a,t7))),and(t1,or(cin,sum))) )],[refute_0_13755,refute_0_13757]) ).
cnf(refute_0_13759,plain,
and(t6,or(t4,and(sum,t1))) = and(t6,or(t4,and(sum,t1))),
introduced(tautology,[refl,[$fot(and(t6,or(t4,and(sum,t1))))]]) ).
cnf(refute_0_13760,plain,
( and(t6,or(t4,and(sum,t1))) != and(t6,or(t4,and(sum,t1)))
| or(t4,and(sum,t1)) != and(t1,or(cin,sum))
| and(t6,or(t4,and(sum,t1))) = and(t6,and(t1,or(cin,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(t4,and(sum,t1))),and(t6,or(t4,and(sum,t1)))) ),[1,1],$fot(and(t1,or(cin,sum)))]]) ).
cnf(refute_0_13761,plain,
( or(t4,and(sum,t1)) != and(t1,or(cin,sum))
| and(t6,or(t4,and(sum,t1))) = and(t6,and(t1,or(cin,sum))) ),
inference(resolve,[$cnf( $equal(and(t6,or(t4,and(sum,t1))),and(t6,or(t4,and(sum,t1)))) )],[refute_0_13759,refute_0_13760]) ).
cnf(refute_0_13762,plain,
and(t6,or(t4,and(sum,t1))) = and(t6,and(t1,or(cin,sum))),
inference(resolve,[$cnf( $equal(or(t4,and(sum,t1)),and(t1,or(cin,sum))) )],[refute_0_13758,refute_0_13761]) ).
cnf(refute_0_13763,plain,
( and(t6,and(t1,or(cin,sum))) != and(cin,t1)
| and(t6,or(t4,and(sum,t1))) != and(t6,and(t1,or(cin,sum)))
| and(t6,or(t4,and(sum,t1))) = and(cin,t1) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t6,or(t4,and(sum,t1))))),bind(Y0,$fot(and(t6,and(t1,or(cin,sum))))),bind(Z0,$fot(and(cin,t1)))]]) ).
cnf(refute_0_13764,plain,
( and(t6,and(t1,or(cin,sum))) != and(cin,t1)
| and(t6,or(t4,and(sum,t1))) = and(cin,t1) ),
inference(resolve,[$cnf( $equal(and(t6,or(t4,and(sum,t1))),and(t6,and(t1,or(cin,sum)))) )],[refute_0_13762,refute_0_13763]) ).
cnf(refute_0_13765,plain,
and(t6,or(t4,and(sum,t1))) = and(cin,t1),
inference(resolve,[$cnf( $equal(and(t6,and(t1,or(cin,sum))),and(cin,t1)) )],[refute_0_13292,refute_0_13764]) ).
cnf(refute_0_13766,plain,
( and(t6,or(t4,and(sum,t1))) != and(cin,t1)
| and(t6,or(t4,and(sum,t1))) != xor(t4,and(sum,t1))
| and(cin,t1) = xor(t4,and(sum,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(t4,and(sum,t1))),xor(t4,and(sum,t1))) ),[0],$fot(and(cin,t1))]]) ).
cnf(refute_0_13767,plain,
( and(t6,or(t4,and(sum,t1))) != xor(t4,and(sum,t1))
| and(cin,t1) = xor(t4,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(and(t6,or(t4,and(sum,t1))),and(cin,t1)) )],[refute_0_13765,refute_0_13766]) ).
cnf(refute_0_13768,plain,
and(cin,t1) = xor(t4,and(sum,t1)),
inference(resolve,[$cnf( $equal(and(t6,or(t4,and(sum,t1))),xor(t4,and(sum,t1))) )],[refute_0_13250,refute_0_13767]) ).
cnf(refute_0_13769,plain,
( and(cin,t1) != xor(t4,and(sum,t1))
| xor(t4,and(sum,t1)) = and(cin,t1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(cin,t1))),bind(Y0,$fot(xor(t4,and(sum,t1))))]]) ).
cnf(refute_0_13770,plain,
xor(t4,and(sum,t1)) = and(cin,t1),
inference(resolve,[$cnf( $equal(and(cin,t1),xor(t4,and(sum,t1))) )],[refute_0_13768,refute_0_13769]) ).
cnf(refute_0_13771,plain,
not(xor(t4,and(sum,t1))) = not(xor(t4,and(sum,t1))),
introduced(tautology,[refl,[$fot(not(xor(t4,and(sum,t1))))]]) ).
cnf(refute_0_13772,plain,
( not(xor(t4,and(sum,t1))) != not(xor(t4,and(sum,t1)))
| xor(t4,and(sum,t1)) != and(cin,t1)
| not(xor(t4,and(sum,t1))) = not(and(cin,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t4,and(sum,t1))),not(xor(t4,and(sum,t1)))) ),[1,0],$fot(and(cin,t1))]]) ).
cnf(refute_0_13773,plain,
( xor(t4,and(sum,t1)) != and(cin,t1)
| not(xor(t4,and(sum,t1))) = not(and(cin,t1)) ),
inference(resolve,[$cnf( $equal(not(xor(t4,and(sum,t1))),not(xor(t4,and(sum,t1)))) )],[refute_0_13771,refute_0_13772]) ).
cnf(refute_0_13774,plain,
not(xor(t4,and(sum,t1))) = not(and(cin,t1)),
inference(resolve,[$cnf( $equal(xor(t4,and(sum,t1)),and(cin,t1)) )],[refute_0_13770,refute_0_13773]) ).
cnf(refute_0_13775,plain,
( not(xor(t4,and(sum,t1))) != and(t5,or(a,t7))
| not(xor(t4,and(sum,t1))) != not(and(cin,t1))
| not(and(cin,t1)) = and(t5,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t4,and(sum,t1))),and(t5,or(a,t7))) ),[0],$fot(not(and(cin,t1)))]]) ).
cnf(refute_0_13776,plain,
( not(xor(t4,and(sum,t1))) != and(t5,or(a,t7))
| not(and(cin,t1)) = and(t5,or(a,t7)) ),
inference(resolve,[$cnf( $equal(not(xor(t4,and(sum,t1))),not(and(cin,t1))) )],[refute_0_13774,refute_0_13775]) ).
cnf(refute_0_13777,plain,
not(and(cin,t1)) = and(t5,or(a,t7)),
inference(resolve,[$cnf( $equal(not(xor(t4,and(sum,t1))),and(t5,or(a,t7))) )],[refute_0_12674,refute_0_13776]) ).
cnf(refute_0_13778,plain,
( not(and(cin,t1)) != and(t5,or(a,t7))
| and(t5,or(a,t7)) = not(and(cin,t1)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(cin,t1)))),bind(Y0,$fot(and(t5,or(a,t7))))]]) ).
cnf(refute_0_13779,plain,
and(t5,or(a,t7)) = not(and(cin,t1)),
inference(resolve,[$cnf( $equal(not(and(cin,t1)),and(t5,or(a,t7))) )],[refute_0_13777,refute_0_13778]) ).
cnf(refute_0_13780,plain,
or(carry,and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820)) = and(or(carry,or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6))))),or(carry,X_820)),
inference(subst,[],[and_distributive:[bind(X,$fot(carry)),bind(Y,$fot(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))))),bind(Z,$fot(X_820))]]) ).
cnf(refute_0_13781,plain,
or(or(carry,not(t1)),X_39) = or(carry,or(not(t1),X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(carry)),bind(Y,$fot(not(t1))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_13782,plain,
or(carry,and(carry,not(t1))) = carry,
inference(subst,[],[or_absorption:[bind(X,$fot(carry)),bind(Y,$fot(not(t1)))]]) ).
cnf(refute_0_13783,plain,
( and(carry,not(t1)) != not(t1)
| or(carry,and(carry,not(t1))) != carry
| or(carry,not(t1)) = carry ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,and(carry,not(t1))),carry) ),[0,1],$fot(not(t1))]]) ).
cnf(refute_0_13784,plain,
( or(carry,and(carry,not(t1))) != carry
| or(carry,not(t1)) = carry ),
inference(resolve,[$cnf( $equal(and(carry,not(t1)),not(t1)) )],[refute_0_11671,refute_0_13783]) ).
cnf(refute_0_13785,plain,
or(carry,not(t1)) = carry,
inference(resolve,[$cnf( $equal(or(carry,and(carry,not(t1))),carry) )],[refute_0_13782,refute_0_13784]) ).
cnf(refute_0_13786,plain,
( or(carry,not(t1)) != carry
| or(or(carry,not(t1)),X_39) != or(carry,or(not(t1),X_39))
| or(carry,X_39) = or(carry,or(not(t1),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(carry,not(t1)),X_39),or(carry,or(not(t1),X_39))) ),[0,0],$fot(carry)]]) ).
cnf(refute_0_13787,plain,
( or(or(carry,not(t1)),X_39) != or(carry,or(not(t1),X_39))
| or(carry,X_39) = or(carry,or(not(t1),X_39)) ),
inference(resolve,[$cnf( $equal(or(carry,not(t1)),carry) )],[refute_0_13785,refute_0_13786]) ).
cnf(refute_0_13788,plain,
or(carry,X_39) = or(carry,or(not(t1),X_39)),
inference(resolve,[$cnf( $equal(or(or(carry,not(t1)),X_39),or(carry,or(not(t1),X_39))) )],[refute_0_13781,refute_0_13787]) ).
cnf(refute_0_13789,plain,
or(carry,not(and(X_34,or(not(t1),not(X_34))))) = or(carry,or(not(t1),not(and(X_34,or(not(t1),not(X_34)))))),
inference(subst,[],[refute_0_13788:[bind(X_39,$fot(not(and(X_34,or(not(t1),not(X_34))))))]]) ).
cnf(refute_0_13790,plain,
or(not(t1),not(and(X_34,or(not(t1),not(X_34))))) = ll1,
inference(subst,[],[refute_0_7305:[bind(X_33,$fot(not(t1)))]]) ).
cnf(refute_0_13791,plain,
( or(carry,not(and(X_34,or(not(t1),not(X_34))))) != or(carry,or(not(t1),not(and(X_34,or(not(t1),not(X_34))))))
| or(not(t1),not(and(X_34,or(not(t1),not(X_34))))) != ll1
| or(carry,not(and(X_34,or(not(t1),not(X_34))))) = or(carry,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(and(X_34,or(not(t1),not(X_34))))),or(carry,or(not(t1),not(and(X_34,or(not(t1),not(X_34))))))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_13792,plain,
( or(carry,not(and(X_34,or(not(t1),not(X_34))))) != or(carry,or(not(t1),not(and(X_34,or(not(t1),not(X_34))))))
| or(carry,not(and(X_34,or(not(t1),not(X_34))))) = or(carry,ll1) ),
inference(resolve,[$cnf( $equal(or(not(t1),not(and(X_34,or(not(t1),not(X_34))))),ll1) )],[refute_0_13790,refute_0_13791]) ).
cnf(refute_0_13793,plain,
or(carry,not(and(X_34,or(not(t1),not(X_34))))) = or(carry,ll1),
inference(resolve,[$cnf( $equal(or(carry,not(and(X_34,or(not(t1),not(X_34))))),or(carry,or(not(t1),not(and(X_34,or(not(t1),not(X_34))))))) )],[refute_0_13789,refute_0_13792]) ).
cnf(refute_0_13794,plain,
not(and(X_34,not(and(t1,X_34)))) = or(not(X_34),and(t1,X_34)),
inference(subst,[],[refute_0_435:[bind(X_29,$fot(X_34)),bind(X_30,$fot(and(t1,X_34)))]]) ).
cnf(refute_0_13795,plain,
or(not(t1),not(X_34)) = not(and(t1,X_34)),
inference(subst,[],[refute_0_147:[bind(X,$fot(t1)),bind(Y,$fot(X_34))]]) ).
cnf(refute_0_13796,plain,
and(X_34,or(not(t1),not(X_34))) = and(X_34,or(not(t1),not(X_34))),
introduced(tautology,[refl,[$fot(and(X_34,or(not(t1),not(X_34))))]]) ).
cnf(refute_0_13797,plain,
( and(X_34,or(not(t1),not(X_34))) != and(X_34,or(not(t1),not(X_34)))
| or(not(t1),not(X_34)) != not(and(t1,X_34))
| and(X_34,or(not(t1),not(X_34))) = and(X_34,not(and(t1,X_34))) ),
introduced(tautology,[equality,[$cnf( $equal(and(X_34,or(not(t1),not(X_34))),and(X_34,or(not(t1),not(X_34)))) ),[1,1],$fot(not(and(t1,X_34)))]]) ).
cnf(refute_0_13798,plain,
( or(not(t1),not(X_34)) != not(and(t1,X_34))
| and(X_34,or(not(t1),not(X_34))) = and(X_34,not(and(t1,X_34))) ),
inference(resolve,[$cnf( $equal(and(X_34,or(not(t1),not(X_34))),and(X_34,or(not(t1),not(X_34)))) )],[refute_0_13796,refute_0_13797]) ).
cnf(refute_0_13799,plain,
and(X_34,or(not(t1),not(X_34))) = and(X_34,not(and(t1,X_34))),
inference(resolve,[$cnf( $equal(or(not(t1),not(X_34)),not(and(t1,X_34))) )],[refute_0_13795,refute_0_13798]) ).
cnf(refute_0_13800,plain,
not(and(X_34,or(not(t1),not(X_34)))) = not(and(X_34,or(not(t1),not(X_34)))),
introduced(tautology,[refl,[$fot(not(and(X_34,or(not(t1),not(X_34)))))]]) ).
cnf(refute_0_13801,plain,
( and(X_34,or(not(t1),not(X_34))) != and(X_34,not(and(t1,X_34)))
| not(and(X_34,or(not(t1),not(X_34)))) != not(and(X_34,or(not(t1),not(X_34))))
| not(and(X_34,or(not(t1),not(X_34)))) = not(and(X_34,not(and(t1,X_34)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X_34,or(not(t1),not(X_34)))),not(and(X_34,or(not(t1),not(X_34))))) ),[1,0],$fot(and(X_34,not(and(t1,X_34))))]]) ).
cnf(refute_0_13802,plain,
( and(X_34,or(not(t1),not(X_34))) != and(X_34,not(and(t1,X_34)))
| not(and(X_34,or(not(t1),not(X_34)))) = not(and(X_34,not(and(t1,X_34)))) ),
inference(resolve,[$cnf( $equal(not(and(X_34,or(not(t1),not(X_34)))),not(and(X_34,or(not(t1),not(X_34))))) )],[refute_0_13800,refute_0_13801]) ).
cnf(refute_0_13803,plain,
not(and(X_34,or(not(t1),not(X_34)))) = not(and(X_34,not(and(t1,X_34)))),
inference(resolve,[$cnf( $equal(and(X_34,or(not(t1),not(X_34))),and(X_34,not(and(t1,X_34)))) )],[refute_0_13799,refute_0_13802]) ).
cnf(refute_0_13804,plain,
( not(and(X_34,not(and(t1,X_34)))) != or(not(X_34),and(t1,X_34))
| not(and(X_34,or(not(t1),not(X_34)))) != not(and(X_34,not(and(t1,X_34))))
| not(and(X_34,or(not(t1),not(X_34)))) = or(not(X_34),and(t1,X_34)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(X_34,or(not(t1),not(X_34)))))),bind(Y0,$fot(not(and(X_34,not(and(t1,X_34)))))),bind(Z0,$fot(or(not(X_34),and(t1,X_34))))]]) ).
cnf(refute_0_13805,plain,
( not(and(X_34,not(and(t1,X_34)))) != or(not(X_34),and(t1,X_34))
| not(and(X_34,or(not(t1),not(X_34)))) = or(not(X_34),and(t1,X_34)) ),
inference(resolve,[$cnf( $equal(not(and(X_34,or(not(t1),not(X_34)))),not(and(X_34,not(and(t1,X_34))))) )],[refute_0_13803,refute_0_13804]) ).
cnf(refute_0_13806,plain,
not(and(X_34,or(not(t1),not(X_34)))) = or(not(X_34),and(t1,X_34)),
inference(resolve,[$cnf( $equal(not(and(X_34,not(and(t1,X_34)))),or(not(X_34),and(t1,X_34))) )],[refute_0_13794,refute_0_13805]) ).
cnf(refute_0_13807,plain,
or(carry,not(and(X_34,or(not(t1),not(X_34))))) = or(carry,not(and(X_34,or(not(t1),not(X_34))))),
introduced(tautology,[refl,[$fot(or(carry,not(and(X_34,or(not(t1),not(X_34))))))]]) ).
cnf(refute_0_13808,plain,
( not(and(X_34,or(not(t1),not(X_34)))) != or(not(X_34),and(t1,X_34))
| or(carry,not(and(X_34,or(not(t1),not(X_34))))) != or(carry,not(and(X_34,or(not(t1),not(X_34)))))
| or(carry,not(and(X_34,or(not(t1),not(X_34))))) = or(carry,or(not(X_34),and(t1,X_34))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(and(X_34,or(not(t1),not(X_34))))),or(carry,not(and(X_34,or(not(t1),not(X_34)))))) ),[1,1],$fot(or(not(X_34),and(t1,X_34)))]]) ).
cnf(refute_0_13809,plain,
( not(and(X_34,or(not(t1),not(X_34)))) != or(not(X_34),and(t1,X_34))
| or(carry,not(and(X_34,or(not(t1),not(X_34))))) = or(carry,or(not(X_34),and(t1,X_34))) ),
inference(resolve,[$cnf( $equal(or(carry,not(and(X_34,or(not(t1),not(X_34))))),or(carry,not(and(X_34,or(not(t1),not(X_34)))))) )],[refute_0_13807,refute_0_13808]) ).
cnf(refute_0_13810,plain,
or(carry,not(and(X_34,or(not(t1),not(X_34))))) = or(carry,or(not(X_34),and(t1,X_34))),
inference(resolve,[$cnf( $equal(not(and(X_34,or(not(t1),not(X_34)))),or(not(X_34),and(t1,X_34))) )],[refute_0_13806,refute_0_13809]) ).
cnf(refute_0_13811,plain,
( or(carry,not(and(X_34,or(not(t1),not(X_34))))) != or(carry,ll1)
| or(carry,not(and(X_34,or(not(t1),not(X_34))))) != or(carry,or(not(X_34),and(t1,X_34)))
| or(carry,or(not(X_34),and(t1,X_34))) = or(carry,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(and(X_34,or(not(t1),not(X_34))))),or(carry,ll1)) ),[0],$fot(or(carry,or(not(X_34),and(t1,X_34))))]]) ).
cnf(refute_0_13812,plain,
( or(carry,not(and(X_34,or(not(t1),not(X_34))))) != or(carry,ll1)
| or(carry,or(not(X_34),and(t1,X_34))) = or(carry,ll1) ),
inference(resolve,[$cnf( $equal(or(carry,not(and(X_34,or(not(t1),not(X_34))))),or(carry,or(not(X_34),and(t1,X_34)))) )],[refute_0_13810,refute_0_13811]) ).
cnf(refute_0_13813,plain,
or(carry,ll1) = ll1,
inference(subst,[],[or_boundedness:[bind(X,$fot(carry))]]) ).
cnf(refute_0_13814,plain,
( or(carry,ll1) != ll1
| or(carry,or(not(X_34),and(t1,X_34))) != or(carry,ll1)
| or(carry,or(not(X_34),and(t1,X_34))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,or(not(X_34),and(t1,X_34))),or(carry,ll1)) ),[1],$fot(ll1)]]) ).
cnf(refute_0_13815,plain,
( or(carry,or(not(X_34),and(t1,X_34))) != or(carry,ll1)
| or(carry,or(not(X_34),and(t1,X_34))) = ll1 ),
inference(resolve,[$cnf( $equal(or(carry,ll1),ll1) )],[refute_0_13813,refute_0_13814]) ).
cnf(refute_0_13816,plain,
( or(carry,not(and(X_34,or(not(t1),not(X_34))))) != or(carry,ll1)
| or(carry,or(not(X_34),and(t1,X_34))) = ll1 ),
inference(resolve,[$cnf( $equal(or(carry,or(not(X_34),and(t1,X_34))),or(carry,ll1)) )],[refute_0_13812,refute_0_13815]) ).
cnf(refute_0_13817,plain,
or(carry,or(not(X_34),and(t1,X_34))) = ll1,
inference(resolve,[$cnf( $equal(or(carry,not(and(X_34,or(not(t1),not(X_34))))),or(carry,ll1)) )],[refute_0_13793,refute_0_13816]) ).
cnf(refute_0_13818,plain,
or(carry,or(not(xor(t4,or(a,t6))),and(t1,xor(t4,or(a,t6))))) = ll1,
inference(subst,[],[refute_0_13817:[bind(X_34,$fot(xor(t4,or(a,t6))))]]) ).
cnf(refute_0_13819,plain,
not(not(and(t4,or(a,t6)))) = and(t4,or(a,t6)),
inference(subst,[],[not_involution:[bind(X,$fot(and(t4,or(a,t6))))]]) ).
cnf(refute_0_13820,plain,
or(and(t4,not(or(carry,t3))),and(not(t4),or(carry,t3))) = xor(t4,or(carry,t3)),
inference(subst,[],[refute_0_9:[bind(X,$fot(t4)),bind(Y,$fot(or(carry,t3)))]]) ).
cnf(refute_0_13821,plain,
and(not(t6),not(t3)) = and(t4,and(t5,not(t3))),
inference(subst,[],[refute_0_667:[bind(X_222,$fot(not(t3)))]]) ).
cnf(refute_0_13822,plain,
and(not(carry),not(t3)) = and(t1,and(t5,not(t3))),
inference(subst,[],[refute_0_178:[bind(X_222,$fot(not(t3)))]]) ).
cnf(refute_0_13823,plain,
and(and(t1,not(t3)),X_222) = and(t1,and(not(t3),X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(t1)),bind(Y,$fot(not(t3))),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_13824,plain,
( and(and(t1,not(t3)),X_222) != and(t1,and(not(t3),X_222))
| and(t1,not(t3)) != not(t3)
| and(not(t3),X_222) = and(t1,and(not(t3),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t1,not(t3)),X_222),and(t1,and(not(t3),X_222))) ),[0,0],$fot(not(t3))]]) ).
cnf(refute_0_13825,plain,
( and(and(t1,not(t3)),X_222) != and(t1,and(not(t3),X_222))
| and(not(t3),X_222) = and(t1,and(not(t3),X_222)) ),
inference(resolve,[$cnf( $equal(and(t1,not(t3)),not(t3)) )],[refute_0_2985,refute_0_13824]) ).
cnf(refute_0_13826,plain,
and(not(t3),X_222) = and(t1,and(not(t3),X_222)),
inference(resolve,[$cnf( $equal(and(and(t1,not(t3)),X_222),and(t1,and(not(t3),X_222))) )],[refute_0_13823,refute_0_13825]) ).
cnf(refute_0_13827,plain,
and(not(t3),X_250) = and(t1,and(not(t3),X_250)),
inference(subst,[],[refute_0_13826:[bind(X_222,$fot(X_250))]]) ).
cnf(refute_0_13828,plain,
and(X_250,not(t3)) = and(not(t3),X_250),
inference(subst,[],[and_commutative:[bind(X,$fot(X_250)),bind(Y,$fot(not(t3)))]]) ).
cnf(refute_0_13829,plain,
( and(X_250,not(t3)) != and(not(t3),X_250)
| and(not(t3),X_250) = and(X_250,not(t3)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X_250,not(t3)))),bind(Y0,$fot(and(not(t3),X_250)))]]) ).
cnf(refute_0_13830,plain,
and(not(t3),X_250) = and(X_250,not(t3)),
inference(resolve,[$cnf( $equal(and(X_250,not(t3)),and(not(t3),X_250)) )],[refute_0_13828,refute_0_13829]) ).
cnf(refute_0_13831,plain,
( and(not(t3),X_250) != and(X_250,not(t3))
| and(not(t3),X_250) != and(t1,and(not(t3),X_250))
| and(not(t3),X_250) = and(t1,and(X_250,not(t3))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t3),X_250),and(t1,and(not(t3),X_250))) ),[1,1],$fot(and(X_250,not(t3)))]]) ).
cnf(refute_0_13832,plain,
( and(not(t3),X_250) != and(t1,and(not(t3),X_250))
| and(not(t3),X_250) = and(t1,and(X_250,not(t3))) ),
inference(resolve,[$cnf( $equal(and(not(t3),X_250),and(X_250,not(t3))) )],[refute_0_13830,refute_0_13831]) ).
cnf(refute_0_13833,plain,
and(not(t3),X_250) = and(t1,and(X_250,not(t3))),
inference(resolve,[$cnf( $equal(and(not(t3),X_250),and(t1,and(not(t3),X_250))) )],[refute_0_13827,refute_0_13832]) ).
cnf(refute_0_13834,plain,
and(not(t3),t5) = and(t1,and(t5,not(t3))),
inference(subst,[],[refute_0_13833:[bind(X_250,$fot(t5))]]) ).
cnf(refute_0_13835,plain,
( and(not(t3),t5) != and(t1,and(t5,not(t3)))
| and(t1,and(t5,not(t3))) = and(not(t3),t5) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t3),t5))),bind(Y0,$fot(and(t1,and(t5,not(t3)))))]]) ).
cnf(refute_0_13836,plain,
and(t1,and(t5,not(t3))) = and(not(t3),t5),
inference(resolve,[$cnf( $equal(and(not(t3),t5),and(t1,and(t5,not(t3)))) )],[refute_0_13834,refute_0_13835]) ).
cnf(refute_0_13837,plain,
( and(not(carry),not(t3)) != and(t1,and(t5,not(t3)))
| and(t1,and(t5,not(t3))) != and(not(t3),t5)
| and(not(carry),not(t3)) = and(not(t3),t5) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(carry),not(t3)),and(not(t3),t5)) ),[0],$fot(and(t1,and(t5,not(t3))))]]) ).
cnf(refute_0_13838,plain,
( and(not(carry),not(t3)) != and(t1,and(t5,not(t3)))
| and(not(carry),not(t3)) = and(not(t3),t5) ),
inference(resolve,[$cnf( $equal(and(t1,and(t5,not(t3))),and(not(t3),t5)) )],[refute_0_13836,refute_0_13837]) ).
cnf(refute_0_13839,plain,
and(not(carry),not(t3)) = and(not(t3),t5),
inference(resolve,[$cnf( $equal(and(not(carry),not(t3)),and(t1,and(t5,not(t3)))) )],[refute_0_13822,refute_0_13838]) ).
cnf(refute_0_13840,plain,
and(not(carry),not(t3)) = not(or(carry,t3)),
inference(subst,[],[refute_0_101:[bind(X,$fot(carry)),bind(Y,$fot(t3))]]) ).
cnf(refute_0_13841,plain,
( and(not(carry),not(t3)) != and(not(t3),t5)
| and(not(carry),not(t3)) != not(or(carry,t3))
| not(or(carry,t3)) = and(not(t3),t5) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),not(t3)),and(not(t3),t5)) ),[0],$fot(not(or(carry,t3)))]]) ).
cnf(refute_0_13842,plain,
( and(not(carry),not(t3)) != and(not(t3),t5)
| not(or(carry,t3)) = and(not(t3),t5) ),
inference(resolve,[$cnf( $equal(and(not(carry),not(t3)),not(or(carry,t3))) )],[refute_0_13840,refute_0_13841]) ).
cnf(refute_0_13843,plain,
and(not(t3),t5) = and(t5,not(t3)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t5)),bind(Y,$fot(not(t3)))]]) ).
cnf(refute_0_13844,plain,
( and(not(t3),t5) != and(t5,not(t3))
| not(or(carry,t3)) != and(not(t3),t5)
| not(or(carry,t3)) = and(t5,not(t3)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,t3)),and(not(t3),t5)) ),[1],$fot(and(t5,not(t3)))]]) ).
cnf(refute_0_13845,plain,
( not(or(carry,t3)) != and(not(t3),t5)
| not(or(carry,t3)) = and(t5,not(t3)) ),
inference(resolve,[$cnf( $equal(and(not(t3),t5),and(t5,not(t3))) )],[refute_0_13843,refute_0_13844]) ).
cnf(refute_0_13846,plain,
( and(not(carry),not(t3)) != and(not(t3),t5)
| not(or(carry,t3)) = and(t5,not(t3)) ),
inference(resolve,[$cnf( $equal(not(or(carry,t3)),and(not(t3),t5)) )],[refute_0_13842,refute_0_13845]) ).
cnf(refute_0_13847,plain,
not(or(carry,t3)) = and(t5,not(t3)),
inference(resolve,[$cnf( $equal(and(not(carry),not(t3)),and(not(t3),t5)) )],[refute_0_13839,refute_0_13846]) ).
cnf(refute_0_13848,plain,
( not(or(carry,t3)) != and(t5,not(t3))
| and(t5,not(t3)) = not(or(carry,t3)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(carry,t3)))),bind(Y0,$fot(and(t5,not(t3))))]]) ).
cnf(refute_0_13849,plain,
and(t5,not(t3)) = not(or(carry,t3)),
inference(resolve,[$cnf( $equal(not(or(carry,t3)),and(t5,not(t3))) )],[refute_0_13847,refute_0_13848]) ).
cnf(refute_0_13850,plain,
( and(not(t6),not(t3)) != and(t4,and(t5,not(t3)))
| and(t5,not(t3)) != not(or(carry,t3))
| and(not(t6),not(t3)) = and(t4,not(or(carry,t3))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),not(t3)),and(t4,and(t5,not(t3)))) ),[1,1],$fot(not(or(carry,t3)))]]) ).
cnf(refute_0_13851,plain,
( and(not(t6),not(t3)) != and(t4,and(t5,not(t3)))
| and(not(t6),not(t3)) = and(t4,not(or(carry,t3))) ),
inference(resolve,[$cnf( $equal(and(t5,not(t3)),not(or(carry,t3))) )],[refute_0_13849,refute_0_13850]) ).
cnf(refute_0_13852,plain,
and(not(t6),not(t3)) = and(t4,not(or(carry,t3))),
inference(resolve,[$cnf( $equal(and(not(t6),not(t3)),and(t4,and(t5,not(t3)))) )],[refute_0_13821,refute_0_13851]) ).
cnf(refute_0_13853,plain,
or(or(a,xor(a,t3)),Z) = or(a,or(xor(a,t3),Z)),
inference(subst,[],[or_associative:[bind(X,$fot(a)),bind(Y,$fot(xor(a,t3)))]]) ).
cnf(refute_0_13854,plain,
( or(a,xor(a,t3)) != t3
| or(or(a,xor(a,t3)),Z) != or(a,or(xor(a,t3),Z))
| or(t3,Z) = or(a,or(xor(a,t3),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(a,xor(a,t3)),Z),or(a,or(xor(a,t3),Z))) ),[0,0],$fot(t3)]]) ).
cnf(refute_0_13855,plain,
( or(or(a,xor(a,t3)),Z) != or(a,or(xor(a,t3),Z))
| or(t3,Z) = or(a,or(xor(a,t3),Z)) ),
inference(resolve,[$cnf( $equal(or(a,xor(a,t3)),t3) )],[refute_0_1852,refute_0_13854]) ).
cnf(refute_0_13856,plain,
or(t3,Z) = or(a,or(xor(a,t3),Z)),
inference(resolve,[$cnf( $equal(or(or(a,xor(a,t3)),Z),or(a,or(xor(a,t3),Z))) )],[refute_0_13853,refute_0_13855]) ).
cnf(refute_0_13857,plain,
or(t3,X_360) = or(a,or(xor(a,t3),X_360)),
inference(subst,[],[refute_0_13856:[bind(Z,$fot(X_360))]]) ).
cnf(refute_0_13858,plain,
or(X_360,xor(a,t3)) = or(xor(a,t3),X_360),
inference(subst,[],[or_commutative:[bind(X,$fot(X_360)),bind(Y,$fot(xor(a,t3)))]]) ).
cnf(refute_0_13859,plain,
( or(X_360,xor(a,t3)) != or(xor(a,t3),X_360)
| or(xor(a,t3),X_360) = or(X_360,xor(a,t3)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(X_360,xor(a,t3)))),bind(Y0,$fot(or(xor(a,t3),X_360)))]]) ).
cnf(refute_0_13860,plain,
or(xor(a,t3),X_360) = or(X_360,xor(a,t3)),
inference(resolve,[$cnf( $equal(or(X_360,xor(a,t3)),or(xor(a,t3),X_360)) )],[refute_0_13858,refute_0_13859]) ).
cnf(refute_0_13861,plain,
( or(t3,X_360) != or(a,or(xor(a,t3),X_360))
| or(xor(a,t3),X_360) != or(X_360,xor(a,t3))
| or(t3,X_360) = or(a,or(X_360,xor(a,t3))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,X_360),or(a,or(xor(a,t3),X_360))) ),[1,1],$fot(or(X_360,xor(a,t3)))]]) ).
cnf(refute_0_13862,plain,
( or(t3,X_360) != or(a,or(xor(a,t3),X_360))
| or(t3,X_360) = or(a,or(X_360,xor(a,t3))) ),
inference(resolve,[$cnf( $equal(or(xor(a,t3),X_360),or(X_360,xor(a,t3))) )],[refute_0_13860,refute_0_13861]) ).
cnf(refute_0_13863,plain,
or(t3,X_360) = or(a,or(X_360,xor(a,t3))),
inference(resolve,[$cnf( $equal(or(t3,X_360),or(a,or(xor(a,t3),X_360))) )],[refute_0_13857,refute_0_13862]) ).
cnf(refute_0_13864,plain,
or(t3,t6) = or(a,or(t6,xor(a,t3))),
inference(subst,[],[refute_0_13863:[bind(X_360,$fot(t6))]]) ).
cnf(refute_0_13865,plain,
or(t6,and(t6,not(carry))) = t6,
inference(subst,[],[or_absorption:[bind(X,$fot(t6)),bind(Y,$fot(not(carry)))]]) ).
cnf(refute_0_13866,plain,
and(not(carry),t6) = and(t1,and(t5,t6)),
inference(subst,[],[refute_0_178:[bind(X_222,$fot(t6))]]) ).
cnf(refute_0_13867,plain,
( and(not(carry),t6) != and(t1,and(t5,t6))
| and(t5,t6) != not(t4)
| and(not(carry),t6) = and(t1,not(t4)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),t6),and(t1,and(t5,t6))) ),[1,1],$fot(not(t4))]]) ).
cnf(refute_0_13868,plain,
( and(not(carry),t6) != and(t1,and(t5,t6))
| and(not(carry),t6) = and(t1,not(t4)) ),
inference(resolve,[$cnf( $equal(and(t5,t6),not(t4)) )],[refute_0_4573,refute_0_13867]) ).
cnf(refute_0_13869,plain,
and(not(carry),t6) = and(t1,not(t4)),
inference(resolve,[$cnf( $equal(and(not(carry),t6),and(t1,and(t5,t6))) )],[refute_0_13866,refute_0_13868]) ).
cnf(refute_0_13870,plain,
and(not(carry),t6) = and(t6,not(carry)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t6)),bind(Y,$fot(not(carry)))]]) ).
cnf(refute_0_13871,plain,
( and(not(carry),t6) != and(t1,not(t4))
| and(not(carry),t6) != and(t6,not(carry))
| and(t6,not(carry)) = and(t1,not(t4)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),t6),and(t1,not(t4))) ),[0],$fot(and(t6,not(carry)))]]) ).
cnf(refute_0_13872,plain,
( and(not(carry),t6) != and(t1,not(t4))
| and(t6,not(carry)) = and(t1,not(t4)) ),
inference(resolve,[$cnf( $equal(and(not(carry),t6),and(t6,not(carry))) )],[refute_0_13870,refute_0_13871]) ).
cnf(refute_0_13873,plain,
( not(or(carry,t4)) != and(t1,not(t4))
| not(or(carry,t4)) != xor(t1,t4)
| xor(t1,t4) = and(t1,not(t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,t4)),and(t1,not(t4))) ),[0],$fot(xor(t1,t4))]]) ).
cnf(refute_0_13874,plain,
( not(or(carry,t4)) != and(t1,not(t4))
| xor(t1,t4) = and(t1,not(t4)) ),
inference(resolve,[$cnf( $equal(not(or(carry,t4)),xor(t1,t4)) )],[refute_0_2198,refute_0_13873]) ).
cnf(refute_0_13875,plain,
xor(t1,t4) = and(t1,not(t4)),
inference(resolve,[$cnf( $equal(not(or(carry,t4)),and(t1,not(t4))) )],[refute_0_1526,refute_0_13874]) ).
cnf(refute_0_13876,plain,
( xor(t1,t4) != and(t1,not(t4))
| xor(t1,t4) != xor(carry,t6)
| xor(carry,t6) = and(t1,not(t4)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,t4),and(t1,not(t4))) ),[0],$fot(xor(carry,t6))]]) ).
cnf(refute_0_13877,plain,
( xor(t1,t4) != and(t1,not(t4))
| xor(carry,t6) = and(t1,not(t4)) ),
inference(resolve,[$cnf( $equal(xor(t1,t4),xor(carry,t6)) )],[refute_0_1496,refute_0_13876]) ).
cnf(refute_0_13878,plain,
xor(carry,t6) = and(t1,not(t4)),
inference(resolve,[$cnf( $equal(xor(t1,t4),and(t1,not(t4))) )],[refute_0_13875,refute_0_13877]) ).
cnf(refute_0_13879,plain,
( xor(carry,t6) != and(t1,not(t4))
| and(t1,not(t4)) = xor(carry,t6) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(carry,t6))),bind(Y0,$fot(and(t1,not(t4))))]]) ).
cnf(refute_0_13880,plain,
and(t1,not(t4)) = xor(carry,t6),
inference(resolve,[$cnf( $equal(xor(carry,t6),and(t1,not(t4))) )],[refute_0_13878,refute_0_13879]) ).
cnf(refute_0_13881,plain,
( and(t1,not(t4)) != xor(carry,t6)
| and(t6,not(carry)) != and(t1,not(t4))
| and(t6,not(carry)) = xor(carry,t6) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(carry)),and(t1,not(t4))) ),[1],$fot(xor(carry,t6))]]) ).
cnf(refute_0_13882,plain,
( and(t6,not(carry)) != and(t1,not(t4))
| and(t6,not(carry)) = xor(carry,t6) ),
inference(resolve,[$cnf( $equal(and(t1,not(t4)),xor(carry,t6)) )],[refute_0_13880,refute_0_13881]) ).
cnf(refute_0_13883,plain,
( and(not(carry),t6) != and(t1,not(t4))
| and(t6,not(carry)) = xor(carry,t6) ),
inference(resolve,[$cnf( $equal(and(t6,not(carry)),and(t1,not(t4))) )],[refute_0_13872,refute_0_13882]) ).
cnf(refute_0_13884,plain,
and(t6,not(carry)) = xor(carry,t6),
inference(resolve,[$cnf( $equal(and(not(carry),t6),and(t1,not(t4))) )],[refute_0_13869,refute_0_13883]) ).
cnf(refute_0_13885,plain,
( and(t6,not(carry)) != xor(carry,t6)
| or(t6,and(t6,not(carry))) != t6
| or(t6,xor(carry,t6)) = t6 ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,and(t6,not(carry))),t6) ),[0,1],$fot(xor(carry,t6))]]) ).
cnf(refute_0_13886,plain,
( or(t6,and(t6,not(carry))) != t6
| or(t6,xor(carry,t6)) = t6 ),
inference(resolve,[$cnf( $equal(and(t6,not(carry)),xor(carry,t6)) )],[refute_0_13884,refute_0_13885]) ).
cnf(refute_0_13887,plain,
or(t6,xor(carry,t6)) = t6,
inference(resolve,[$cnf( $equal(or(t6,and(t6,not(carry))),t6) )],[refute_0_13865,refute_0_13886]) ).
cnf(refute_0_13888,plain,
or(t6,xor(carry,t6)) = or(t6,xor(carry,t6)),
introduced(tautology,[refl,[$fot(or(t6,xor(carry,t6)))]]) ).
cnf(refute_0_13889,plain,
( or(t6,xor(carry,t6)) != or(t6,xor(carry,t6))
| xor(carry,t6) != xor(b,t2)
| or(t6,xor(carry,t6)) = or(t6,xor(b,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,xor(carry,t6)),or(t6,xor(carry,t6))) ),[1,1],$fot(xor(b,t2))]]) ).
cnf(refute_0_13890,plain,
( xor(carry,t6) != xor(b,t2)
| or(t6,xor(carry,t6)) = or(t6,xor(b,t2)) ),
inference(resolve,[$cnf( $equal(or(t6,xor(carry,t6)),or(t6,xor(carry,t6))) )],[refute_0_13888,refute_0_13889]) ).
cnf(refute_0_13891,plain,
or(t6,xor(carry,t6)) = or(t6,xor(b,t2)),
inference(resolve,[$cnf( $equal(xor(carry,t6),xor(b,t2)) )],[refute_0_2228,refute_0_13890]) ).
cnf(refute_0_13892,plain,
( or(t6,xor(carry,t6)) != or(t6,xor(b,t2))
| or(t6,xor(carry,t6)) != t6
| or(t6,xor(b,t2)) = t6 ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,xor(carry,t6)),t6) ),[0],$fot(or(t6,xor(b,t2)))]]) ).
cnf(refute_0_13893,plain,
( or(t6,xor(carry,t6)) != t6
| or(t6,xor(b,t2)) = t6 ),
inference(resolve,[$cnf( $equal(or(t6,xor(carry,t6)),or(t6,xor(b,t2))) )],[refute_0_13891,refute_0_13892]) ).
cnf(refute_0_13894,plain,
or(t6,xor(b,t2)) = t6,
inference(resolve,[$cnf( $equal(or(t6,xor(carry,t6)),t6) )],[refute_0_13887,refute_0_13893]) ).
cnf(refute_0_13895,plain,
or(t6,xor(b,t2)) = or(t6,xor(b,t2)),
introduced(tautology,[refl,[$fot(or(t6,xor(b,t2)))]]) ).
cnf(refute_0_13896,plain,
( or(t6,xor(b,t2)) != or(t6,xor(b,t2))
| xor(b,t2) != xor(a,t3)
| or(t6,xor(b,t2)) = or(t6,xor(a,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,xor(b,t2)),or(t6,xor(b,t2))) ),[1,1],$fot(xor(a,t3))]]) ).
cnf(refute_0_13897,plain,
( xor(b,t2) != xor(a,t3)
| or(t6,xor(b,t2)) = or(t6,xor(a,t3)) ),
inference(resolve,[$cnf( $equal(or(t6,xor(b,t2)),or(t6,xor(b,t2))) )],[refute_0_13895,refute_0_13896]) ).
cnf(refute_0_13898,plain,
or(t6,xor(b,t2)) = or(t6,xor(a,t3)),
inference(resolve,[$cnf( $equal(xor(b,t2),xor(a,t3)) )],[refute_0_4596,refute_0_13897]) ).
cnf(refute_0_13899,plain,
( or(t6,xor(b,t2)) != or(t6,xor(a,t3))
| or(t6,xor(b,t2)) != t6
| or(t6,xor(a,t3)) = t6 ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,xor(b,t2)),t6) ),[0],$fot(or(t6,xor(a,t3)))]]) ).
cnf(refute_0_13900,plain,
( or(t6,xor(b,t2)) != t6
| or(t6,xor(a,t3)) = t6 ),
inference(resolve,[$cnf( $equal(or(t6,xor(b,t2)),or(t6,xor(a,t3))) )],[refute_0_13898,refute_0_13899]) ).
cnf(refute_0_13901,plain,
or(t6,xor(a,t3)) = t6,
inference(resolve,[$cnf( $equal(or(t6,xor(b,t2)),t6) )],[refute_0_13894,refute_0_13900]) ).
cnf(refute_0_13902,plain,
( or(t3,t6) != or(a,or(t6,xor(a,t3)))
| or(t6,xor(a,t3)) != t6
| or(t3,t6) = or(a,t6) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,t6),or(a,or(t6,xor(a,t3)))) ),[1,1],$fot(t6)]]) ).
cnf(refute_0_13903,plain,
( or(t3,t6) != or(a,or(t6,xor(a,t3)))
| or(t3,t6) = or(a,t6) ),
inference(resolve,[$cnf( $equal(or(t6,xor(a,t3)),t6) )],[refute_0_13901,refute_0_13902]) ).
cnf(refute_0_13904,plain,
or(t3,t6) = or(a,t6),
inference(resolve,[$cnf( $equal(or(t3,t6),or(a,or(t6,xor(a,t3)))) )],[refute_0_13864,refute_0_13903]) ).
cnf(refute_0_13905,plain,
not(or(t3,t6)) = not(or(t3,t6)),
introduced(tautology,[refl,[$fot(not(or(t3,t6)))]]) ).
cnf(refute_0_13906,plain,
( not(or(t3,t6)) != not(or(t3,t6))
| or(t3,t6) != or(a,t6)
| not(or(t3,t6)) = not(or(a,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t3,t6)),not(or(t3,t6))) ),[1,0],$fot(or(a,t6))]]) ).
cnf(refute_0_13907,plain,
( or(t3,t6) != or(a,t6)
| not(or(t3,t6)) = not(or(a,t6)) ),
inference(resolve,[$cnf( $equal(not(or(t3,t6)),not(or(t3,t6))) )],[refute_0_13905,refute_0_13906]) ).
cnf(refute_0_13908,plain,
not(or(t3,t6)) = not(or(a,t6)),
inference(resolve,[$cnf( $equal(or(t3,t6),or(a,t6)) )],[refute_0_13904,refute_0_13907]) ).
cnf(refute_0_13909,plain,
not(or(X,xor(t2,t4))) = and(not(X),not(xor(t2,t4))),
inference(subst,[],[or_demorgan:[bind(Y,$fot(xor(t2,t4)))]]) ).
cnf(refute_0_13910,plain,
( not(or(X,xor(t2,t4))) != and(not(X),not(xor(t2,t4)))
| not(xor(t2,t4)) != and(t2,t4)
| not(or(X,xor(t2,t4))) = and(not(X),and(t2,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t2,t4))),and(not(X),not(xor(t2,t4)))) ),[1,1],$fot(and(t2,t4))]]) ).
cnf(refute_0_13911,plain,
( not(or(X,xor(t2,t4))) != and(not(X),not(xor(t2,t4)))
| not(or(X,xor(t2,t4))) = and(not(X),and(t2,t4)) ),
inference(resolve,[$cnf( $equal(not(xor(t2,t4)),and(t2,t4)) )],[refute_0_9595,refute_0_13910]) ).
cnf(refute_0_13912,plain,
not(or(X,xor(t2,t4))) = and(not(X),and(t2,t4)),
inference(resolve,[$cnf( $equal(not(or(X,xor(t2,t4))),and(not(X),not(xor(t2,t4)))) )],[refute_0_13909,refute_0_13911]) ).
cnf(refute_0_13913,plain,
not(or(not(and(t2,t4)),X_26)) = and(and(t2,t4),not(X_26)),
inference(subst,[],[refute_0_159:[bind(X,$fot(and(t2,t4)))]]) ).
cnf(refute_0_13914,plain,
( not(and(t2,t4)) != xor(t2,t4)
| not(or(not(and(t2,t4)),X_26)) != and(and(t2,t4),not(X_26))
| not(or(xor(t2,t4),X_26)) = and(and(t2,t4),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(and(t2,t4)),X_26)),and(and(t2,t4),not(X_26))) ),[0,0,0],$fot(xor(t2,t4))]]) ).
cnf(refute_0_13915,plain,
( not(or(not(and(t2,t4)),X_26)) != and(and(t2,t4),not(X_26))
| not(or(xor(t2,t4),X_26)) = and(and(t2,t4),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(and(t2,t4)),xor(t2,t4)) )],[refute_0_9570,refute_0_13914]) ).
cnf(refute_0_13916,plain,
not(or(xor(t2,t4),X_26)) = and(and(t2,t4),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(not(and(t2,t4)),X_26)),and(and(t2,t4),not(X_26))) )],[refute_0_13913,refute_0_13915]) ).
cnf(refute_0_13917,plain,
and(and(t2,t4),not(X_26)) = and(t2,and(t4,not(X_26))),
inference(subst,[],[and_associative:[bind(X,$fot(t2)),bind(Y,$fot(t4)),bind(Z,$fot(not(X_26)))]]) ).
cnf(refute_0_13918,plain,
( and(and(t2,t4),not(X_26)) != and(t2,and(t4,not(X_26)))
| not(or(xor(t2,t4),X_26)) != and(and(t2,t4),not(X_26))
| not(or(xor(t2,t4),X_26)) = and(t2,and(t4,not(X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(t2,t4),X_26)),and(and(t2,t4),not(X_26))) ),[1],$fot(and(t2,and(t4,not(X_26))))]]) ).
cnf(refute_0_13919,plain,
( not(or(xor(t2,t4),X_26)) != and(and(t2,t4),not(X_26))
| not(or(xor(t2,t4),X_26)) = and(t2,and(t4,not(X_26))) ),
inference(resolve,[$cnf( $equal(and(and(t2,t4),not(X_26)),and(t2,and(t4,not(X_26)))) )],[refute_0_13917,refute_0_13918]) ).
cnf(refute_0_13920,plain,
not(or(xor(t2,t4),X_26)) = and(t2,and(t4,not(X_26))),
inference(resolve,[$cnf( $equal(not(or(xor(t2,t4),X_26)),and(and(t2,t4),not(X_26))) )],[refute_0_13916,refute_0_13919]) ).
cnf(refute_0_13921,plain,
( not(or(xor(t2,t4),X_26)) != and(t2,and(t4,not(X_26)))
| and(t2,and(t4,not(X_26))) = not(or(xor(t2,t4),X_26)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(xor(t2,t4),X_26)))),bind(Y0,$fot(and(t2,and(t4,not(X_26)))))]]) ).
cnf(refute_0_13922,plain,
and(t2,and(t4,not(X_26))) = not(or(xor(t2,t4),X_26)),
inference(resolve,[$cnf( $equal(not(or(xor(t2,t4),X_26)),and(t2,and(t4,not(X_26)))) )],[refute_0_13920,refute_0_13921]) ).
cnf(refute_0_13923,plain,
and(t2,and(t4,not(X))) = not(or(xor(t2,t4),X)),
inference(subst,[],[refute_0_13922:[bind(X_26,$fot(X))]]) ).
cnf(refute_0_13924,plain,
and(t2,and(not(X),t4)) = and(t2,and(t4,not(X))),
inference(subst,[],[refute_0_2637:[bind(X_220,$fot(t2)),bind(X_221,$fot(t4)),bind(X_222,$fot(not(X)))]]) ).
cnf(refute_0_13925,plain,
( and(t2,and(not(X),t4)) != and(t2,and(t4,not(X)))
| and(t2,and(t4,not(X))) != not(or(xor(t2,t4),X))
| and(t2,and(not(X),t4)) = not(or(xor(t2,t4),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t2,and(not(X),t4)))),bind(Y0,$fot(and(t2,and(t4,not(X))))),bind(Z0,$fot(not(or(xor(t2,t4),X))))]]) ).
cnf(refute_0_13926,plain,
( and(t2,and(t4,not(X))) != not(or(xor(t2,t4),X))
| and(t2,and(not(X),t4)) = not(or(xor(t2,t4),X)) ),
inference(resolve,[$cnf( $equal(and(t2,and(not(X),t4)),and(t2,and(t4,not(X)))) )],[refute_0_13924,refute_0_13925]) ).
cnf(refute_0_13927,plain,
and(t2,and(not(X),t4)) = not(or(xor(t2,t4),X)),
inference(resolve,[$cnf( $equal(and(t2,and(t4,not(X))),not(or(xor(t2,t4),X))) )],[refute_0_13923,refute_0_13926]) ).
cnf(refute_0_13928,plain,
and(not(X),and(t2,t4)) = and(t2,and(not(X),t4)),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(X))),bind(X_221,$fot(t2)),bind(X_222,$fot(t4))]]) ).
cnf(refute_0_13929,plain,
( and(not(X),and(t2,t4)) != and(t2,and(not(X),t4))
| and(t2,and(not(X),t4)) != not(or(xor(t2,t4),X))
| and(not(X),and(t2,t4)) = not(or(xor(t2,t4),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(X),and(t2,t4)))),bind(Y0,$fot(and(t2,and(not(X),t4)))),bind(Z0,$fot(not(or(xor(t2,t4),X))))]]) ).
cnf(refute_0_13930,plain,
( and(t2,and(not(X),t4)) != not(or(xor(t2,t4),X))
| and(not(X),and(t2,t4)) = not(or(xor(t2,t4),X)) ),
inference(resolve,[$cnf( $equal(and(not(X),and(t2,t4)),and(t2,and(not(X),t4))) )],[refute_0_13928,refute_0_13929]) ).
cnf(refute_0_13931,plain,
and(not(X),and(t2,t4)) = not(or(xor(t2,t4),X)),
inference(resolve,[$cnf( $equal(and(t2,and(not(X),t4)),not(or(xor(t2,t4),X))) )],[refute_0_13927,refute_0_13930]) ).
cnf(refute_0_13932,plain,
( and(not(X),and(t2,t4)) != not(or(xor(t2,t4),X))
| not(or(X,xor(t2,t4))) != and(not(X),and(t2,t4))
| not(or(X,xor(t2,t4))) = not(or(xor(t2,t4),X)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t2,t4))),and(not(X),and(t2,t4))) ),[1],$fot(not(or(xor(t2,t4),X)))]]) ).
cnf(refute_0_13933,plain,
( not(or(X,xor(t2,t4))) != and(not(X),and(t2,t4))
| not(or(X,xor(t2,t4))) = not(or(xor(t2,t4),X)) ),
inference(resolve,[$cnf( $equal(and(not(X),and(t2,t4)),not(or(xor(t2,t4),X))) )],[refute_0_13931,refute_0_13932]) ).
cnf(refute_0_13934,plain,
not(or(X,xor(t2,t4))) = not(or(xor(t2,t4),X)),
inference(resolve,[$cnf( $equal(not(or(X,xor(t2,t4))),and(not(X),and(t2,t4))) )],[refute_0_13912,refute_0_13933]) ).
cnf(refute_0_13935,plain,
or(X,xor(t2,t4)) = or(X,xor(t2,t4)),
introduced(tautology,[refl,[$fot(or(X,xor(t2,t4)))]]) ).
cnf(refute_0_13936,plain,
( or(X,xor(t2,t4)) != or(X,xor(t2,t4))
| xor(t2,t4) != t3
| or(X,xor(t2,t4)) = or(X,t3) ),
introduced(tautology,[equality,[$cnf( $equal(or(X,xor(t2,t4)),or(X,xor(t2,t4))) ),[1,1],$fot(t3)]]) ).
cnf(refute_0_13937,plain,
( xor(t2,t4) != t3
| or(X,xor(t2,t4)) = or(X,t3) ),
inference(resolve,[$cnf( $equal(or(X,xor(t2,t4)),or(X,xor(t2,t4))) )],[refute_0_13935,refute_0_13936]) ).
cnf(refute_0_13938,plain,
or(X,xor(t2,t4)) = or(X,t3),
inference(resolve,[$cnf( $equal(xor(t2,t4),t3) )],[refute_0_9610,refute_0_13937]) ).
cnf(refute_0_13939,plain,
not(or(X,xor(t2,t4))) = not(or(X,xor(t2,t4))),
introduced(tautology,[refl,[$fot(not(or(X,xor(t2,t4))))]]) ).
cnf(refute_0_13940,plain,
( not(or(X,xor(t2,t4))) != not(or(X,xor(t2,t4)))
| or(X,xor(t2,t4)) != or(X,t3)
| not(or(X,xor(t2,t4))) = not(or(X,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t2,t4))),not(or(X,xor(t2,t4)))) ),[1,0],$fot(or(X,t3))]]) ).
cnf(refute_0_13941,plain,
( or(X,xor(t2,t4)) != or(X,t3)
| not(or(X,xor(t2,t4))) = not(or(X,t3)) ),
inference(resolve,[$cnf( $equal(not(or(X,xor(t2,t4))),not(or(X,xor(t2,t4)))) )],[refute_0_13939,refute_0_13940]) ).
cnf(refute_0_13942,plain,
not(or(X,xor(t2,t4))) = not(or(X,t3)),
inference(resolve,[$cnf( $equal(or(X,xor(t2,t4)),or(X,t3)) )],[refute_0_13938,refute_0_13941]) ).
cnf(refute_0_13943,plain,
( not(or(X,xor(t2,t4))) != not(or(X,t3))
| not(or(X,xor(t2,t4))) != not(or(xor(t2,t4),X))
| not(or(X,t3)) = not(or(xor(t2,t4),X)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t2,t4))),not(or(xor(t2,t4),X))) ),[0],$fot(not(or(X,t3)))]]) ).
cnf(refute_0_13944,plain,
( not(or(X,xor(t2,t4))) != not(or(xor(t2,t4),X))
| not(or(X,t3)) = not(or(xor(t2,t4),X)) ),
inference(resolve,[$cnf( $equal(not(or(X,xor(t2,t4))),not(or(X,t3))) )],[refute_0_13942,refute_0_13943]) ).
cnf(refute_0_13945,plain,
or(xor(t2,t4),X) = or(xor(t2,t4),X),
introduced(tautology,[refl,[$fot(or(xor(t2,t4),X))]]) ).
cnf(refute_0_13946,plain,
( or(xor(t2,t4),X) != or(xor(t2,t4),X)
| xor(t2,t4) != t3
| or(xor(t2,t4),X) = or(t3,X) ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(t2,t4),X),or(xor(t2,t4),X)) ),[1,0],$fot(t3)]]) ).
cnf(refute_0_13947,plain,
( xor(t2,t4) != t3
| or(xor(t2,t4),X) = or(t3,X) ),
inference(resolve,[$cnf( $equal(or(xor(t2,t4),X),or(xor(t2,t4),X)) )],[refute_0_13945,refute_0_13946]) ).
cnf(refute_0_13948,plain,
or(xor(t2,t4),X) = or(t3,X),
inference(resolve,[$cnf( $equal(xor(t2,t4),t3) )],[refute_0_9610,refute_0_13947]) ).
cnf(refute_0_13949,plain,
not(or(xor(t2,t4),X)) = not(or(xor(t2,t4),X)),
introduced(tautology,[refl,[$fot(not(or(xor(t2,t4),X)))]]) ).
cnf(refute_0_13950,plain,
( not(or(xor(t2,t4),X)) != not(or(xor(t2,t4),X))
| or(xor(t2,t4),X) != or(t3,X)
| not(or(xor(t2,t4),X)) = not(or(t3,X)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(t2,t4),X)),not(or(xor(t2,t4),X))) ),[1,0],$fot(or(t3,X))]]) ).
cnf(refute_0_13951,plain,
( or(xor(t2,t4),X) != or(t3,X)
| not(or(xor(t2,t4),X)) = not(or(t3,X)) ),
inference(resolve,[$cnf( $equal(not(or(xor(t2,t4),X)),not(or(xor(t2,t4),X))) )],[refute_0_13949,refute_0_13950]) ).
cnf(refute_0_13952,plain,
not(or(xor(t2,t4),X)) = not(or(t3,X)),
inference(resolve,[$cnf( $equal(or(xor(t2,t4),X),or(t3,X)) )],[refute_0_13948,refute_0_13951]) ).
cnf(refute_0_13953,plain,
( not(or(X,t3)) != not(or(xor(t2,t4),X))
| not(or(xor(t2,t4),X)) != not(or(t3,X))
| not(or(X,t3)) = not(or(t3,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(or(X,t3)),not(or(t3,X))) ),[0],$fot(not(or(xor(t2,t4),X)))]]) ).
cnf(refute_0_13954,plain,
( not(or(X,t3)) != not(or(xor(t2,t4),X))
| not(or(X,t3)) = not(or(t3,X)) ),
inference(resolve,[$cnf( $equal(not(or(xor(t2,t4),X)),not(or(t3,X))) )],[refute_0_13952,refute_0_13953]) ).
cnf(refute_0_13955,plain,
( not(or(X,xor(t2,t4))) != not(or(xor(t2,t4),X))
| not(or(X,t3)) = not(or(t3,X)) ),
inference(resolve,[$cnf( $equal(not(or(X,t3)),not(or(xor(t2,t4),X))) )],[refute_0_13944,refute_0_13954]) ).
cnf(refute_0_13956,plain,
not(or(X,t3)) = not(or(t3,X)),
inference(resolve,[$cnf( $equal(not(or(X,xor(t2,t4))),not(or(xor(t2,t4),X))) )],[refute_0_13934,refute_0_13955]) ).
cnf(refute_0_13957,plain,
not(or(t6,t3)) = not(or(t3,t6)),
inference(subst,[],[refute_0_13956:[bind(X,$fot(t6))]]) ).
cnf(refute_0_13958,plain,
and(not(t6),not(t3)) = not(or(t6,t3)),
inference(subst,[],[refute_0_101:[bind(X,$fot(t6)),bind(Y,$fot(t3))]]) ).
cnf(refute_0_13959,plain,
( and(not(t6),not(t3)) != not(or(t6,t3))
| not(or(t6,t3)) != not(or(t3,t6))
| and(not(t6),not(t3)) = not(or(t3,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t6),not(t3)))),bind(Y0,$fot(not(or(t6,t3)))),bind(Z0,$fot(not(or(t3,t6))))]]) ).
cnf(refute_0_13960,plain,
( not(or(t6,t3)) != not(or(t3,t6))
| and(not(t6),not(t3)) = not(or(t3,t6)) ),
inference(resolve,[$cnf( $equal(and(not(t6),not(t3)),not(or(t6,t3))) )],[refute_0_13958,refute_0_13959]) ).
cnf(refute_0_13961,plain,
and(not(t6),not(t3)) = not(or(t3,t6)),
inference(resolve,[$cnf( $equal(not(or(t6,t3)),not(or(t3,t6))) )],[refute_0_13957,refute_0_13960]) ).
cnf(refute_0_13962,plain,
( and(not(t6),not(t3)) != not(or(t3,t6))
| not(or(t3,t6)) != not(or(a,t6))
| and(not(t6),not(t3)) = not(or(a,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t6),not(t3)))),bind(Y0,$fot(not(or(t3,t6)))),bind(Z0,$fot(not(or(a,t6))))]]) ).
cnf(refute_0_13963,plain,
( not(or(t3,t6)) != not(or(a,t6))
| and(not(t6),not(t3)) = not(or(a,t6)) ),
inference(resolve,[$cnf( $equal(and(not(t6),not(t3)),not(or(t3,t6))) )],[refute_0_13961,refute_0_13962]) ).
cnf(refute_0_13964,plain,
and(not(t6),not(t3)) = not(or(a,t6)),
inference(resolve,[$cnf( $equal(not(or(t3,t6)),not(or(a,t6))) )],[refute_0_13908,refute_0_13963]) ).
cnf(refute_0_13965,plain,
( and(not(t6),not(t3)) != and(t4,not(or(carry,t3)))
| and(not(t6),not(t3)) != not(or(a,t6))
| not(or(a,t6)) = and(t4,not(or(carry,t3))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),not(t3)),and(t4,not(or(carry,t3)))) ),[0],$fot(not(or(a,t6)))]]) ).
cnf(refute_0_13966,plain,
( and(not(t6),not(t3)) != and(t4,not(or(carry,t3)))
| not(or(a,t6)) = and(t4,not(or(carry,t3))) ),
inference(resolve,[$cnf( $equal(and(not(t6),not(t3)),not(or(a,t6))) )],[refute_0_13964,refute_0_13965]) ).
cnf(refute_0_13967,plain,
not(or(a,t6)) = and(t4,not(or(carry,t3))),
inference(resolve,[$cnf( $equal(and(not(t6),not(t3)),and(t4,not(or(carry,t3)))) )],[refute_0_13852,refute_0_13966]) ).
cnf(refute_0_13968,plain,
( not(or(a,t6)) != and(t4,not(or(carry,t3)))
| and(t4,not(or(carry,t3))) = not(or(a,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(a,t6)))),bind(Y0,$fot(and(t4,not(or(carry,t3)))))]]) ).
cnf(refute_0_13969,plain,
and(t4,not(or(carry,t3))) = not(or(a,t6)),
inference(resolve,[$cnf( $equal(not(or(a,t6)),and(t4,not(or(carry,t3)))) )],[refute_0_13967,refute_0_13968]) ).
cnf(refute_0_13970,plain,
( and(t4,not(or(carry,t3))) != not(or(a,t6))
| or(and(t4,not(or(carry,t3))),and(not(t4),or(carry,t3))) != xor(t4,or(carry,t3))
| or(not(or(a,t6)),and(not(t4),or(carry,t3))) = xor(t4,or(carry,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,not(or(carry,t3))),and(not(t4),or(carry,t3))),xor(t4,or(carry,t3))) ),[0,0],$fot(not(or(a,t6)))]]) ).
cnf(refute_0_13971,plain,
( or(and(t4,not(or(carry,t3))),and(not(t4),or(carry,t3))) != xor(t4,or(carry,t3))
| or(not(or(a,t6)),and(not(t4),or(carry,t3))) = xor(t4,or(carry,t3)) ),
inference(resolve,[$cnf( $equal(and(t4,not(or(carry,t3))),not(or(a,t6))) )],[refute_0_13969,refute_0_13970]) ).
cnf(refute_0_13972,plain,
or(not(or(a,t6)),and(not(t4),or(carry,t3))) = xor(t4,or(carry,t3)),
inference(resolve,[$cnf( $equal(or(and(t4,not(or(carry,t3))),and(not(t4),or(carry,t3))),xor(t4,or(carry,t3))) )],[refute_0_13820,refute_0_13971]) ).
cnf(refute_0_13973,plain,
and(or(a,t6),t4) = and(t4,or(a,t6)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t4)),bind(Y,$fot(or(a,t6)))]]) ).
cnf(refute_0_13974,plain,
not(and(or(a,t6),not(t4))) = not(and(not(t4),or(a,t6))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(not(t4))),bind(X_32,$fot(or(a,t6)))]]) ).
cnf(refute_0_13975,plain,
and(not(t4),or(a,t6)) = and(t2,and(t3,or(a,t6))),
inference(subst,[],[refute_0_611:[bind(X_222,$fot(or(a,t6)))]]) ).
cnf(refute_0_13976,plain,
and(t3,or(t3,t6)) = t3,
inference(subst,[],[and_absorption:[bind(X,$fot(t3)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_13977,plain,
( and(t3,or(t3,t6)) != t3
| or(t3,t6) != or(a,t6)
| and(t3,or(a,t6)) = t3 ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,or(t3,t6)),t3) ),[0,1],$fot(or(a,t6))]]) ).
cnf(refute_0_13978,plain,
( and(t3,or(t3,t6)) != t3
| and(t3,or(a,t6)) = t3 ),
inference(resolve,[$cnf( $equal(or(t3,t6),or(a,t6)) )],[refute_0_13904,refute_0_13977]) ).
cnf(refute_0_13979,plain,
and(t3,or(a,t6)) = t3,
inference(resolve,[$cnf( $equal(and(t3,or(t3,t6)),t3) )],[refute_0_13976,refute_0_13978]) ).
cnf(refute_0_13980,plain,
( and(not(t4),or(a,t6)) != and(t2,and(t3,or(a,t6)))
| and(t3,or(a,t6)) != t3
| and(not(t4),or(a,t6)) = and(t2,t3) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),or(a,t6)),and(t2,and(t3,or(a,t6)))) ),[1,1],$fot(t3)]]) ).
cnf(refute_0_13981,plain,
( and(not(t4),or(a,t6)) != and(t2,and(t3,or(a,t6)))
| and(not(t4),or(a,t6)) = and(t2,t3) ),
inference(resolve,[$cnf( $equal(and(t3,or(a,t6)),t3) )],[refute_0_13979,refute_0_13980]) ).
cnf(refute_0_13982,plain,
and(not(t4),or(a,t6)) = and(t2,t3),
inference(resolve,[$cnf( $equal(and(not(t4),or(a,t6)),and(t2,and(t3,or(a,t6)))) )],[refute_0_13975,refute_0_13981]) ).
cnf(refute_0_13983,plain,
( and(not(t4),or(a,t6)) != and(t2,t3)
| and(t2,t3) != not(t4)
| and(not(t4),or(a,t6)) = not(t4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(t4),or(a,t6)),not(t4)) ),[0],$fot(and(t2,t3))]]) ).
cnf(refute_0_13984,plain,
( and(not(t4),or(a,t6)) != and(t2,t3)
| and(not(t4),or(a,t6)) = not(t4) ),
inference(resolve,[$cnf( $equal(and(t2,t3),not(t4)) )],[refute_0_608,refute_0_13983]) ).
cnf(refute_0_13985,plain,
and(not(t4),or(a,t6)) = not(t4),
inference(resolve,[$cnf( $equal(and(not(t4),or(a,t6)),and(t2,t3)) )],[refute_0_13982,refute_0_13984]) ).
cnf(refute_0_13986,plain,
( and(not(t4),or(a,t6)) != not(t4)
| not(and(or(a,t6),not(t4))) != not(and(not(t4),or(a,t6)))
| not(and(or(a,t6),not(t4))) = not(not(t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(a,t6),not(t4))),not(and(not(t4),or(a,t6)))) ),[1,0],$fot(not(t4))]]) ).
cnf(refute_0_13987,plain,
( not(and(or(a,t6),not(t4))) != not(and(not(t4),or(a,t6)))
| not(and(or(a,t6),not(t4))) = not(not(t4)) ),
inference(resolve,[$cnf( $equal(and(not(t4),or(a,t6)),not(t4)) )],[refute_0_13985,refute_0_13986]) ).
cnf(refute_0_13988,plain,
not(and(or(a,t6),not(t4))) = not(not(t4)),
inference(resolve,[$cnf( $equal(not(and(or(a,t6),not(t4))),not(and(not(t4),or(a,t6)))) )],[refute_0_13974,refute_0_13987]) ).
cnf(refute_0_13989,plain,
not(and(not(t4),or(a,t6))) = or(t4,not(or(a,t6))),
inference(subst,[],[refute_0_787:[bind(X,$fot(t4)),bind(X_32,$fot(or(a,t6)))]]) ).
cnf(refute_0_13990,plain,
( not(and(not(t4),or(a,t6))) != or(t4,not(or(a,t6)))
| not(and(or(a,t6),not(t4))) != not(and(not(t4),or(a,t6)))
| not(and(or(a,t6),not(t4))) = or(t4,not(or(a,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(or(a,t6),not(t4))))),bind(Y0,$fot(not(and(not(t4),or(a,t6))))),bind(Z0,$fot(or(t4,not(or(a,t6)))))]]) ).
cnf(refute_0_13991,plain,
( not(and(not(t4),or(a,t6))) != or(t4,not(or(a,t6)))
| not(and(or(a,t6),not(t4))) = or(t4,not(or(a,t6))) ),
inference(resolve,[$cnf( $equal(not(and(or(a,t6),not(t4))),not(and(not(t4),or(a,t6)))) )],[refute_0_13974,refute_0_13990]) ).
cnf(refute_0_13992,plain,
not(and(or(a,t6),not(t4))) = or(t4,not(or(a,t6))),
inference(resolve,[$cnf( $equal(not(and(not(t4),or(a,t6))),or(t4,not(or(a,t6)))) )],[refute_0_13989,refute_0_13991]) ).
cnf(refute_0_13993,plain,
( not(and(or(a,t6),not(t4))) != not(not(t4))
| not(and(or(a,t6),not(t4))) != or(t4,not(or(a,t6)))
| or(t4,not(or(a,t6))) = not(not(t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(a,t6),not(t4))),not(not(t4))) ),[0],$fot(or(t4,not(or(a,t6))))]]) ).
cnf(refute_0_13994,plain,
( not(and(or(a,t6),not(t4))) != not(not(t4))
| or(t4,not(or(a,t6))) = not(not(t4)) ),
inference(resolve,[$cnf( $equal(not(and(or(a,t6),not(t4))),or(t4,not(or(a,t6)))) )],[refute_0_13992,refute_0_13993]) ).
cnf(refute_0_13995,plain,
( not(not(t4)) != t4
| or(t4,not(or(a,t6))) != not(not(t4))
| or(t4,not(or(a,t6))) = t4 ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,not(or(a,t6))),not(not(t4))) ),[1],$fot(t4)]]) ).
cnf(refute_0_13996,plain,
( or(t4,not(or(a,t6))) != not(not(t4))
| or(t4,not(or(a,t6))) = t4 ),
inference(resolve,[$cnf( $equal(not(not(t4)),t4) )],[refute_0_639,refute_0_13995]) ).
cnf(refute_0_13997,plain,
( not(and(or(a,t6),not(t4))) != not(not(t4))
| or(t4,not(or(a,t6))) = t4 ),
inference(resolve,[$cnf( $equal(or(t4,not(or(a,t6))),not(not(t4))) )],[refute_0_13994,refute_0_13996]) ).
cnf(refute_0_13998,plain,
or(t4,not(or(a,t6))) = t4,
inference(resolve,[$cnf( $equal(not(and(or(a,t6),not(t4))),not(not(t4))) )],[refute_0_13988,refute_0_13997]) ).
cnf(refute_0_13999,plain,
not(and(not(or(carry,t3)),t4)) = not(and(t4,not(or(carry,t3)))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(t4)),bind(X_32,$fot(not(or(carry,t3))))]]) ).
cnf(refute_0_14000,plain,
( and(t4,not(or(carry,t3))) != not(or(a,t6))
| not(and(not(or(carry,t3)),t4)) != not(and(t4,not(or(carry,t3))))
| not(and(not(or(carry,t3)),t4)) = not(not(or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(or(carry,t3)),t4)),not(and(t4,not(or(carry,t3))))) ),[1,0],$fot(not(or(a,t6)))]]) ).
cnf(refute_0_14001,plain,
( not(and(not(or(carry,t3)),t4)) != not(and(t4,not(or(carry,t3))))
| not(and(not(or(carry,t3)),t4)) = not(not(or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(t4,not(or(carry,t3))),not(or(a,t6))) )],[refute_0_13969,refute_0_14000]) ).
cnf(refute_0_14002,plain,
not(and(not(or(carry,t3)),t4)) = not(not(or(a,t6))),
inference(resolve,[$cnf( $equal(not(and(not(or(carry,t3)),t4)),not(and(t4,not(or(carry,t3))))) )],[refute_0_13999,refute_0_14001]) ).
cnf(refute_0_14003,plain,
or(carry,or(t3,not(t4))) = or(carry,or(t3,not(t4))),
introduced(tautology,[refl,[$fot(or(carry,or(t3,not(t4))))]]) ).
cnf(refute_0_14004,plain,
( or(carry,or(t3,not(t4))) != or(carry,or(t3,not(t4)))
| or(t3,not(t4)) != t3
| or(carry,or(t3,not(t4))) = or(carry,t3) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,or(t3,not(t4))),or(carry,or(t3,not(t4)))) ),[1,1],$fot(t3)]]) ).
cnf(refute_0_14005,plain,
( or(t3,not(t4)) != t3
| or(carry,or(t3,not(t4))) = or(carry,t3) ),
inference(resolve,[$cnf( $equal(or(carry,or(t3,not(t4))),or(carry,or(t3,not(t4)))) )],[refute_0_14003,refute_0_14004]) ).
cnf(refute_0_14006,plain,
or(carry,or(t3,not(t4))) = or(carry,t3),
inference(resolve,[$cnf( $equal(or(t3,not(t4)),t3) )],[refute_0_619,refute_0_14005]) ).
cnf(refute_0_14007,plain,
or(or(carry,t3),not(t4)) = or(carry,or(t3,not(t4))),
inference(subst,[],[or_associative:[bind(X,$fot(carry)),bind(Y,$fot(t3)),bind(Z,$fot(not(t4)))]]) ).
cnf(refute_0_14008,plain,
not(and(not(or(carry,t3)),t4)) = or(or(carry,t3),not(t4)),
inference(subst,[],[refute_0_787:[bind(X,$fot(or(carry,t3))),bind(X_32,$fot(t4))]]) ).
cnf(refute_0_14009,plain,
( not(and(not(or(carry,t3)),t4)) != or(or(carry,t3),not(t4))
| or(or(carry,t3),not(t4)) != or(carry,or(t3,not(t4)))
| not(and(not(or(carry,t3)),t4)) = or(carry,or(t3,not(t4))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(not(or(carry,t3)),t4)))),bind(Y0,$fot(or(or(carry,t3),not(t4)))),bind(Z0,$fot(or(carry,or(t3,not(t4)))))]]) ).
cnf(refute_0_14010,plain,
( or(or(carry,t3),not(t4)) != or(carry,or(t3,not(t4)))
| not(and(not(or(carry,t3)),t4)) = or(carry,or(t3,not(t4))) ),
inference(resolve,[$cnf( $equal(not(and(not(or(carry,t3)),t4)),or(or(carry,t3),not(t4))) )],[refute_0_14008,refute_0_14009]) ).
cnf(refute_0_14011,plain,
not(and(not(or(carry,t3)),t4)) = or(carry,or(t3,not(t4))),
inference(resolve,[$cnf( $equal(or(or(carry,t3),not(t4)),or(carry,or(t3,not(t4)))) )],[refute_0_14007,refute_0_14010]) ).
cnf(refute_0_14012,plain,
( not(and(not(or(carry,t3)),t4)) != or(carry,or(t3,not(t4)))
| or(carry,or(t3,not(t4))) != or(carry,t3)
| not(and(not(or(carry,t3)),t4)) = or(carry,t3) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(not(or(carry,t3)),t4)))),bind(Y0,$fot(or(carry,or(t3,not(t4))))),bind(Z0,$fot(or(carry,t3)))]]) ).
cnf(refute_0_14013,plain,
( or(carry,or(t3,not(t4))) != or(carry,t3)
| not(and(not(or(carry,t3)),t4)) = or(carry,t3) ),
inference(resolve,[$cnf( $equal(not(and(not(or(carry,t3)),t4)),or(carry,or(t3,not(t4)))) )],[refute_0_14011,refute_0_14012]) ).
cnf(refute_0_14014,plain,
not(and(not(or(carry,t3)),t4)) = or(carry,t3),
inference(resolve,[$cnf( $equal(or(carry,or(t3,not(t4))),or(carry,t3)) )],[refute_0_14006,refute_0_14013]) ).
cnf(refute_0_14015,plain,
( not(and(not(or(carry,t3)),t4)) != not(not(or(a,t6)))
| not(and(not(or(carry,t3)),t4)) != or(carry,t3)
| or(carry,t3) = not(not(or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(or(carry,t3)),t4)),not(not(or(a,t6)))) ),[0],$fot(or(carry,t3))]]) ).
cnf(refute_0_14016,plain,
( not(and(not(or(carry,t3)),t4)) != not(not(or(a,t6)))
| or(carry,t3) = not(not(or(a,t6))) ),
inference(resolve,[$cnf( $equal(not(and(not(or(carry,t3)),t4)),or(carry,t3)) )],[refute_0_14014,refute_0_14015]) ).
cnf(refute_0_14017,plain,
not(not(or(a,t6))) = or(a,t6),
inference(subst,[],[not_involution:[bind(X,$fot(or(a,t6)))]]) ).
cnf(refute_0_14018,plain,
( not(not(or(a,t6))) != or(a,t6)
| or(carry,t3) != not(not(or(a,t6)))
| or(carry,t3) = or(a,t6) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,t3),not(not(or(a,t6)))) ),[1],$fot(or(a,t6))]]) ).
cnf(refute_0_14019,plain,
( or(carry,t3) != not(not(or(a,t6)))
| or(carry,t3) = or(a,t6) ),
inference(resolve,[$cnf( $equal(not(not(or(a,t6))),or(a,t6)) )],[refute_0_14017,refute_0_14018]) ).
cnf(refute_0_14020,plain,
( not(and(not(or(carry,t3)),t4)) != not(not(or(a,t6)))
| or(carry,t3) = or(a,t6) ),
inference(resolve,[$cnf( $equal(or(carry,t3),not(not(or(a,t6)))) )],[refute_0_14016,refute_0_14019]) ).
cnf(refute_0_14021,plain,
or(carry,t3) = or(a,t6),
inference(resolve,[$cnf( $equal(not(and(not(or(carry,t3)),t4)),not(not(or(a,t6)))) )],[refute_0_14002,refute_0_14020]) ).
cnf(refute_0_14022,plain,
not(or(carry,t3)) = not(or(carry,t3)),
introduced(tautology,[refl,[$fot(not(or(carry,t3)))]]) ).
cnf(refute_0_14023,plain,
( not(or(carry,t3)) != not(or(carry,t3))
| or(carry,t3) != or(a,t6)
| not(or(carry,t3)) = not(or(a,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,t3)),not(or(carry,t3))) ),[1,0],$fot(or(a,t6))]]) ).
cnf(refute_0_14024,plain,
( or(carry,t3) != or(a,t6)
| not(or(carry,t3)) = not(or(a,t6)) ),
inference(resolve,[$cnf( $equal(not(or(carry,t3)),not(or(carry,t3))) )],[refute_0_14022,refute_0_14023]) ).
cnf(refute_0_14025,plain,
not(or(carry,t3)) = not(or(a,t6)),
inference(resolve,[$cnf( $equal(or(carry,t3),or(a,t6)) )],[refute_0_14021,refute_0_14024]) ).
cnf(refute_0_14026,plain,
or(t4,not(or(carry,t3))) = or(t4,not(or(carry,t3))),
introduced(tautology,[refl,[$fot(or(t4,not(or(carry,t3))))]]) ).
cnf(refute_0_14027,plain,
( not(or(carry,t3)) != not(or(a,t6))
| or(t4,not(or(carry,t3))) != or(t4,not(or(carry,t3)))
| or(t4,not(or(carry,t3))) = or(t4,not(or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,not(or(carry,t3))),or(t4,not(or(carry,t3)))) ),[1,1],$fot(not(or(a,t6)))]]) ).
cnf(refute_0_14028,plain,
( not(or(carry,t3)) != not(or(a,t6))
| or(t4,not(or(carry,t3))) = or(t4,not(or(a,t6))) ),
inference(resolve,[$cnf( $equal(or(t4,not(or(carry,t3))),or(t4,not(or(carry,t3)))) )],[refute_0_14026,refute_0_14027]) ).
cnf(refute_0_14029,plain,
or(t4,not(or(carry,t3))) = or(t4,not(or(a,t6))),
inference(resolve,[$cnf( $equal(not(or(carry,t3)),not(or(a,t6))) )],[refute_0_14025,refute_0_14028]) ).
cnf(refute_0_14030,plain,
( or(t4,not(or(a,t6))) != t4
| or(t4,not(or(carry,t3))) != or(t4,not(or(a,t6)))
| or(t4,not(or(carry,t3))) = t4 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t4,not(or(carry,t3))))),bind(Y0,$fot(or(t4,not(or(a,t6))))),bind(Z0,$fot(t4))]]) ).
cnf(refute_0_14031,plain,
( or(t4,not(or(a,t6))) != t4
| or(t4,not(or(carry,t3))) = t4 ),
inference(resolve,[$cnf( $equal(or(t4,not(or(carry,t3))),or(t4,not(or(a,t6)))) )],[refute_0_14029,refute_0_14030]) ).
cnf(refute_0_14032,plain,
or(t4,not(or(carry,t3))) = t4,
inference(resolve,[$cnf( $equal(or(t4,not(or(a,t6))),t4) )],[refute_0_13998,refute_0_14031]) ).
cnf(refute_0_14033,plain,
and(or(a,t6),or(t4,not(or(carry,t3)))) = and(or(a,t6),or(t4,not(or(carry,t3)))),
introduced(tautology,[refl,[$fot(and(or(a,t6),or(t4,not(or(carry,t3)))))]]) ).
cnf(refute_0_14034,plain,
( and(or(a,t6),or(t4,not(or(carry,t3)))) != and(or(a,t6),or(t4,not(or(carry,t3))))
| or(t4,not(or(carry,t3))) != t4
| and(or(a,t6),or(t4,not(or(carry,t3)))) = and(or(a,t6),t4) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(a,t6),or(t4,not(or(carry,t3)))),and(or(a,t6),or(t4,not(or(carry,t3))))) ),[1,1],$fot(t4)]]) ).
cnf(refute_0_14035,plain,
( or(t4,not(or(carry,t3))) != t4
| and(or(a,t6),or(t4,not(or(carry,t3)))) = and(or(a,t6),t4) ),
inference(resolve,[$cnf( $equal(and(or(a,t6),or(t4,not(or(carry,t3)))),and(or(a,t6),or(t4,not(or(carry,t3))))) )],[refute_0_14033,refute_0_14034]) ).
cnf(refute_0_14036,plain,
and(or(a,t6),or(t4,not(or(carry,t3)))) = and(or(a,t6),t4),
inference(resolve,[$cnf( $equal(or(t4,not(or(carry,t3))),t4) )],[refute_0_14032,refute_0_14035]) ).
cnf(refute_0_14037,plain,
( and(or(a,t6),or(t4,not(or(carry,t3)))) != and(or(a,t6),t4)
| and(or(a,t6),t4) != and(t4,or(a,t6))
| and(or(a,t6),or(t4,not(or(carry,t3)))) = and(t4,or(a,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(or(a,t6),or(t4,not(or(carry,t3)))))),bind(Y0,$fot(and(or(a,t6),t4))),bind(Z0,$fot(and(t4,or(a,t6))))]]) ).
cnf(refute_0_14038,plain,
( and(or(a,t6),t4) != and(t4,or(a,t6))
| and(or(a,t6),or(t4,not(or(carry,t3)))) = and(t4,or(a,t6)) ),
inference(resolve,[$cnf( $equal(and(or(a,t6),or(t4,not(or(carry,t3)))),and(or(a,t6),t4)) )],[refute_0_14036,refute_0_14037]) ).
cnf(refute_0_14039,plain,
and(or(a,t6),or(t4,not(or(carry,t3)))) = and(t4,or(a,t6)),
inference(resolve,[$cnf( $equal(and(or(a,t6),t4),and(t4,or(a,t6))) )],[refute_0_13973,refute_0_14038]) ).
cnf(refute_0_14040,plain,
not(and(or(a,t6),or(t4,not(or(carry,t3))))) = not(and(or(a,t6),or(t4,not(or(carry,t3))))),
introduced(tautology,[refl,[$fot(not(and(or(a,t6),or(t4,not(or(carry,t3))))))]]) ).
cnf(refute_0_14041,plain,
( and(or(a,t6),or(t4,not(or(carry,t3)))) != and(t4,or(a,t6))
| not(and(or(a,t6),or(t4,not(or(carry,t3))))) != not(and(or(a,t6),or(t4,not(or(carry,t3)))))
| not(and(or(a,t6),or(t4,not(or(carry,t3))))) = not(and(t4,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(a,t6),or(t4,not(or(carry,t3))))),not(and(or(a,t6),or(t4,not(or(carry,t3)))))) ),[1,0],$fot(and(t4,or(a,t6)))]]) ).
cnf(refute_0_14042,plain,
( and(or(a,t6),or(t4,not(or(carry,t3)))) != and(t4,or(a,t6))
| not(and(or(a,t6),or(t4,not(or(carry,t3))))) = not(and(t4,or(a,t6))) ),
inference(resolve,[$cnf( $equal(not(and(or(a,t6),or(t4,not(or(carry,t3))))),not(and(or(a,t6),or(t4,not(or(carry,t3)))))) )],[refute_0_14040,refute_0_14041]) ).
cnf(refute_0_14043,plain,
not(and(or(a,t6),or(t4,not(or(carry,t3))))) = not(and(t4,or(a,t6))),
inference(resolve,[$cnf( $equal(and(or(a,t6),or(t4,not(or(carry,t3)))),and(t4,or(a,t6))) )],[refute_0_14039,refute_0_14042]) ).
cnf(refute_0_14044,plain,
or(not(or(a,t6)),and(not(t4),or(carry,t3))) = not(and(or(a,t6),or(t4,not(or(carry,t3))))),
inference(subst,[],[refute_0_1337:[bind(X,$fot(or(a,t6))),bind(X_78,$fot(or(carry,t3))),bind(X_79,$fot(t4))]]) ).
cnf(refute_0_14045,plain,
( not(and(or(a,t6),or(t4,not(or(carry,t3))))) != not(and(t4,or(a,t6)))
| or(not(or(a,t6)),and(not(t4),or(carry,t3))) != not(and(or(a,t6),or(t4,not(or(carry,t3)))))
| or(not(or(a,t6)),and(not(t4),or(carry,t3))) = not(and(t4,or(a,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(or(a,t6)),and(not(t4),or(carry,t3))))),bind(Y0,$fot(not(and(or(a,t6),or(t4,not(or(carry,t3))))))),bind(Z0,$fot(not(and(t4,or(a,t6)))))]]) ).
cnf(refute_0_14046,plain,
( not(and(or(a,t6),or(t4,not(or(carry,t3))))) != not(and(t4,or(a,t6)))
| or(not(or(a,t6)),and(not(t4),or(carry,t3))) = not(and(t4,or(a,t6))) ),
inference(resolve,[$cnf( $equal(or(not(or(a,t6)),and(not(t4),or(carry,t3))),not(and(or(a,t6),or(t4,not(or(carry,t3)))))) )],[refute_0_14044,refute_0_14045]) ).
cnf(refute_0_14047,plain,
or(not(or(a,t6)),and(not(t4),or(carry,t3))) = not(and(t4,or(a,t6))),
inference(resolve,[$cnf( $equal(not(and(or(a,t6),or(t4,not(or(carry,t3))))),not(and(t4,or(a,t6)))) )],[refute_0_14043,refute_0_14046]) ).
cnf(refute_0_14048,plain,
( or(not(or(a,t6)),and(not(t4),or(carry,t3))) != not(and(t4,or(a,t6)))
| or(not(or(a,t6)),and(not(t4),or(carry,t3))) != xor(t4,or(carry,t3))
| not(and(t4,or(a,t6))) = xor(t4,or(carry,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(or(a,t6)),and(not(t4),or(carry,t3))),xor(t4,or(carry,t3))) ),[0],$fot(not(and(t4,or(a,t6))))]]) ).
cnf(refute_0_14049,plain,
( or(not(or(a,t6)),and(not(t4),or(carry,t3))) != xor(t4,or(carry,t3))
| not(and(t4,or(a,t6))) = xor(t4,or(carry,t3)) ),
inference(resolve,[$cnf( $equal(or(not(or(a,t6)),and(not(t4),or(carry,t3))),not(and(t4,or(a,t6)))) )],[refute_0_14047,refute_0_14048]) ).
cnf(refute_0_14050,plain,
xor(t4,or(carry,t3)) = xor(t4,or(carry,t3)),
introduced(tautology,[refl,[$fot(xor(t4,or(carry,t3)))]]) ).
cnf(refute_0_14051,plain,
( or(carry,t3) != or(a,t6)
| xor(t4,or(carry,t3)) != xor(t4,or(carry,t3))
| xor(t4,or(carry,t3)) = xor(t4,or(a,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,or(carry,t3)),xor(t4,or(carry,t3))) ),[1,1],$fot(or(a,t6))]]) ).
cnf(refute_0_14052,plain,
( or(carry,t3) != or(a,t6)
| xor(t4,or(carry,t3)) = xor(t4,or(a,t6)) ),
inference(resolve,[$cnf( $equal(xor(t4,or(carry,t3)),xor(t4,or(carry,t3))) )],[refute_0_14050,refute_0_14051]) ).
cnf(refute_0_14053,plain,
xor(t4,or(carry,t3)) = xor(t4,or(a,t6)),
inference(resolve,[$cnf( $equal(or(carry,t3),or(a,t6)) )],[refute_0_14021,refute_0_14052]) ).
cnf(refute_0_14054,plain,
( not(and(t4,or(a,t6))) != xor(t4,or(carry,t3))
| xor(t4,or(carry,t3)) != xor(t4,or(a,t6))
| not(and(t4,or(a,t6))) = xor(t4,or(a,t6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(t4,or(a,t6))),xor(t4,or(a,t6))) ),[0],$fot(xor(t4,or(carry,t3)))]]) ).
cnf(refute_0_14055,plain,
( not(and(t4,or(a,t6))) != xor(t4,or(carry,t3))
| not(and(t4,or(a,t6))) = xor(t4,or(a,t6)) ),
inference(resolve,[$cnf( $equal(xor(t4,or(carry,t3)),xor(t4,or(a,t6))) )],[refute_0_14053,refute_0_14054]) ).
cnf(refute_0_14056,plain,
( or(not(or(a,t6)),and(not(t4),or(carry,t3))) != xor(t4,or(carry,t3))
| not(and(t4,or(a,t6))) = xor(t4,or(a,t6)) ),
inference(resolve,[$cnf( $equal(not(and(t4,or(a,t6))),xor(t4,or(carry,t3))) )],[refute_0_14049,refute_0_14055]) ).
cnf(refute_0_14057,plain,
not(and(t4,or(a,t6))) = xor(t4,or(a,t6)),
inference(resolve,[$cnf( $equal(or(not(or(a,t6)),and(not(t4),or(carry,t3))),xor(t4,or(carry,t3))) )],[refute_0_13972,refute_0_14056]) ).
cnf(refute_0_14058,plain,
( not(and(t4,or(a,t6))) != xor(t4,or(a,t6))
| not(not(and(t4,or(a,t6)))) != and(t4,or(a,t6))
| not(xor(t4,or(a,t6))) = and(t4,or(a,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(t4,or(a,t6)))),and(t4,or(a,t6))) ),[0,0],$fot(xor(t4,or(a,t6)))]]) ).
cnf(refute_0_14059,plain,
( not(not(and(t4,or(a,t6)))) != and(t4,or(a,t6))
| not(xor(t4,or(a,t6))) = and(t4,or(a,t6)) ),
inference(resolve,[$cnf( $equal(not(and(t4,or(a,t6))),xor(t4,or(a,t6))) )],[refute_0_14057,refute_0_14058]) ).
cnf(refute_0_14060,plain,
not(xor(t4,or(a,t6))) = and(t4,or(a,t6)),
inference(resolve,[$cnf( $equal(not(not(and(t4,or(a,t6)))),and(t4,or(a,t6))) )],[refute_0_13819,refute_0_14059]) ).
cnf(refute_0_14061,plain,
( not(xor(t4,or(a,t6))) != and(t4,or(a,t6))
| or(carry,or(not(xor(t4,or(a,t6))),and(t1,xor(t4,or(a,t6))))) != ll1
| or(carry,or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6))))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,or(not(xor(t4,or(a,t6))),and(t1,xor(t4,or(a,t6))))),ll1) ),[0,1,0],$fot(and(t4,or(a,t6)))]]) ).
cnf(refute_0_14062,plain,
( or(carry,or(not(xor(t4,or(a,t6))),and(t1,xor(t4,or(a,t6))))) != ll1
| or(carry,or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6))))) = ll1 ),
inference(resolve,[$cnf( $equal(not(xor(t4,or(a,t6))),and(t4,or(a,t6))) )],[refute_0_14060,refute_0_14061]) ).
cnf(refute_0_14063,plain,
or(carry,or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6))))) = ll1,
inference(resolve,[$cnf( $equal(or(carry,or(not(xor(t4,or(a,t6))),and(t1,xor(t4,or(a,t6))))),ll1) )],[refute_0_13818,refute_0_14062]) ).
cnf(refute_0_14064,plain,
( or(carry,and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820)) != and(or(carry,or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6))))),or(carry,X_820))
| or(carry,or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6))))) != ll1
| or(carry,and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820)) = and(ll1,or(carry,X_820)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820)),and(or(carry,or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6))))),or(carry,X_820))) ),[1,0],$fot(ll1)]]) ).
cnf(refute_0_14065,plain,
( or(carry,and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820)) != and(or(carry,or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6))))),or(carry,X_820))
| or(carry,and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820)) = and(ll1,or(carry,X_820)) ),
inference(resolve,[$cnf( $equal(or(carry,or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6))))),ll1) )],[refute_0_14063,refute_0_14064]) ).
cnf(refute_0_14066,plain,
or(carry,and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820)) = and(ll1,or(carry,X_820)),
inference(resolve,[$cnf( $equal(or(carry,and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820)),and(or(carry,or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6))))),or(carry,X_820))) )],[refute_0_13780,refute_0_14065]) ).
cnf(refute_0_14067,plain,
or(t1,and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))))) = and(or(t1,X_819),or(t1,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))))),
inference(subst,[],[and_distributive:[bind(X,$fot(t1)),bind(Y,$fot(X_819)),bind(Z,$fot(or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5))))))]]) ).
cnf(refute_0_14068,plain,
or(or(t1,not(a)),X_39) = or(t1,or(not(a),X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(t1)),bind(Y,$fot(not(a))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_14069,plain,
( or(or(t1,not(a)),X_39) != or(t1,or(not(a),X_39))
| or(t1,not(a)) != t1
| or(t1,X_39) = or(t1,or(not(a),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t1,not(a)),X_39),or(t1,or(not(a),X_39))) ),[0,0],$fot(t1)]]) ).
cnf(refute_0_14070,plain,
( or(or(t1,not(a)),X_39) != or(t1,or(not(a),X_39))
| or(t1,X_39) = or(t1,or(not(a),X_39)) ),
inference(resolve,[$cnf( $equal(or(t1,not(a)),t1) )],[refute_0_11017,refute_0_14069]) ).
cnf(refute_0_14071,plain,
or(t1,X_39) = or(t1,or(not(a),X_39)),
inference(resolve,[$cnf( $equal(or(or(t1,not(a)),X_39),or(t1,or(not(a),X_39))) )],[refute_0_14068,refute_0_14070]) ).
cnf(refute_0_14072,plain,
or(t1,not(and(X_34,or(not(a),not(X_34))))) = or(t1,or(not(a),not(and(X_34,or(not(a),not(X_34)))))),
inference(subst,[],[refute_0_14071:[bind(X_39,$fot(not(and(X_34,or(not(a),not(X_34))))))]]) ).
cnf(refute_0_14073,plain,
or(not(a),not(and(X_34,or(not(a),not(X_34))))) = ll1,
inference(subst,[],[refute_0_7305:[bind(X_33,$fot(not(a)))]]) ).
cnf(refute_0_14074,plain,
( or(not(a),not(and(X_34,or(not(a),not(X_34))))) != ll1
| or(t1,not(and(X_34,or(not(a),not(X_34))))) != or(t1,or(not(a),not(and(X_34,or(not(a),not(X_34))))))
| or(t1,not(and(X_34,or(not(a),not(X_34))))) = or(t1,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,not(and(X_34,or(not(a),not(X_34))))),or(t1,or(not(a),not(and(X_34,or(not(a),not(X_34))))))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_14075,plain,
( or(t1,not(and(X_34,or(not(a),not(X_34))))) != or(t1,or(not(a),not(and(X_34,or(not(a),not(X_34))))))
| or(t1,not(and(X_34,or(not(a),not(X_34))))) = or(t1,ll1) ),
inference(resolve,[$cnf( $equal(or(not(a),not(and(X_34,or(not(a),not(X_34))))),ll1) )],[refute_0_14073,refute_0_14074]) ).
cnf(refute_0_14076,plain,
or(t1,not(and(X_34,or(not(a),not(X_34))))) = or(t1,ll1),
inference(resolve,[$cnf( $equal(or(t1,not(and(X_34,or(not(a),not(X_34))))),or(t1,or(not(a),not(and(X_34,or(not(a),not(X_34))))))) )],[refute_0_14072,refute_0_14075]) ).
cnf(refute_0_14077,plain,
not(and(X_34,not(and(a,X_34)))) = or(not(X_34),and(a,X_34)),
inference(subst,[],[refute_0_435:[bind(X_29,$fot(X_34)),bind(X_30,$fot(and(a,X_34)))]]) ).
cnf(refute_0_14078,plain,
or(not(a),not(X_34)) = not(and(a,X_34)),
inference(subst,[],[refute_0_147:[bind(X,$fot(a)),bind(Y,$fot(X_34))]]) ).
cnf(refute_0_14079,plain,
and(X_34,or(not(a),not(X_34))) = and(X_34,or(not(a),not(X_34))),
introduced(tautology,[refl,[$fot(and(X_34,or(not(a),not(X_34))))]]) ).
cnf(refute_0_14080,plain,
( and(X_34,or(not(a),not(X_34))) != and(X_34,or(not(a),not(X_34)))
| or(not(a),not(X_34)) != not(and(a,X_34))
| and(X_34,or(not(a),not(X_34))) = and(X_34,not(and(a,X_34))) ),
introduced(tautology,[equality,[$cnf( $equal(and(X_34,or(not(a),not(X_34))),and(X_34,or(not(a),not(X_34)))) ),[1,1],$fot(not(and(a,X_34)))]]) ).
cnf(refute_0_14081,plain,
( or(not(a),not(X_34)) != not(and(a,X_34))
| and(X_34,or(not(a),not(X_34))) = and(X_34,not(and(a,X_34))) ),
inference(resolve,[$cnf( $equal(and(X_34,or(not(a),not(X_34))),and(X_34,or(not(a),not(X_34)))) )],[refute_0_14079,refute_0_14080]) ).
cnf(refute_0_14082,plain,
and(X_34,or(not(a),not(X_34))) = and(X_34,not(and(a,X_34))),
inference(resolve,[$cnf( $equal(or(not(a),not(X_34)),not(and(a,X_34))) )],[refute_0_14078,refute_0_14081]) ).
cnf(refute_0_14083,plain,
not(and(X_34,or(not(a),not(X_34)))) = not(and(X_34,or(not(a),not(X_34)))),
introduced(tautology,[refl,[$fot(not(and(X_34,or(not(a),not(X_34)))))]]) ).
cnf(refute_0_14084,plain,
( and(X_34,or(not(a),not(X_34))) != and(X_34,not(and(a,X_34)))
| not(and(X_34,or(not(a),not(X_34)))) != not(and(X_34,or(not(a),not(X_34))))
| not(and(X_34,or(not(a),not(X_34)))) = not(and(X_34,not(and(a,X_34)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X_34,or(not(a),not(X_34)))),not(and(X_34,or(not(a),not(X_34))))) ),[1,0],$fot(and(X_34,not(and(a,X_34))))]]) ).
cnf(refute_0_14085,plain,
( and(X_34,or(not(a),not(X_34))) != and(X_34,not(and(a,X_34)))
| not(and(X_34,or(not(a),not(X_34)))) = not(and(X_34,not(and(a,X_34)))) ),
inference(resolve,[$cnf( $equal(not(and(X_34,or(not(a),not(X_34)))),not(and(X_34,or(not(a),not(X_34))))) )],[refute_0_14083,refute_0_14084]) ).
cnf(refute_0_14086,plain,
not(and(X_34,or(not(a),not(X_34)))) = not(and(X_34,not(and(a,X_34)))),
inference(resolve,[$cnf( $equal(and(X_34,or(not(a),not(X_34))),and(X_34,not(and(a,X_34)))) )],[refute_0_14082,refute_0_14085]) ).
cnf(refute_0_14087,plain,
( not(and(X_34,not(and(a,X_34)))) != or(not(X_34),and(a,X_34))
| not(and(X_34,or(not(a),not(X_34)))) != not(and(X_34,not(and(a,X_34))))
| not(and(X_34,or(not(a),not(X_34)))) = or(not(X_34),and(a,X_34)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(X_34,or(not(a),not(X_34)))))),bind(Y0,$fot(not(and(X_34,not(and(a,X_34)))))),bind(Z0,$fot(or(not(X_34),and(a,X_34))))]]) ).
cnf(refute_0_14088,plain,
( not(and(X_34,not(and(a,X_34)))) != or(not(X_34),and(a,X_34))
| not(and(X_34,or(not(a),not(X_34)))) = or(not(X_34),and(a,X_34)) ),
inference(resolve,[$cnf( $equal(not(and(X_34,or(not(a),not(X_34)))),not(and(X_34,not(and(a,X_34))))) )],[refute_0_14086,refute_0_14087]) ).
cnf(refute_0_14089,plain,
not(and(X_34,or(not(a),not(X_34)))) = or(not(X_34),and(a,X_34)),
inference(resolve,[$cnf( $equal(not(and(X_34,not(and(a,X_34)))),or(not(X_34),and(a,X_34))) )],[refute_0_14077,refute_0_14088]) ).
cnf(refute_0_14090,plain,
or(t1,not(and(X_34,or(not(a),not(X_34))))) = or(t1,not(and(X_34,or(not(a),not(X_34))))),
introduced(tautology,[refl,[$fot(or(t1,not(and(X_34,or(not(a),not(X_34))))))]]) ).
cnf(refute_0_14091,plain,
( not(and(X_34,or(not(a),not(X_34)))) != or(not(X_34),and(a,X_34))
| or(t1,not(and(X_34,or(not(a),not(X_34))))) != or(t1,not(and(X_34,or(not(a),not(X_34)))))
| or(t1,not(and(X_34,or(not(a),not(X_34))))) = or(t1,or(not(X_34),and(a,X_34))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,not(and(X_34,or(not(a),not(X_34))))),or(t1,not(and(X_34,or(not(a),not(X_34)))))) ),[1,1],$fot(or(not(X_34),and(a,X_34)))]]) ).
cnf(refute_0_14092,plain,
( not(and(X_34,or(not(a),not(X_34)))) != or(not(X_34),and(a,X_34))
| or(t1,not(and(X_34,or(not(a),not(X_34))))) = or(t1,or(not(X_34),and(a,X_34))) ),
inference(resolve,[$cnf( $equal(or(t1,not(and(X_34,or(not(a),not(X_34))))),or(t1,not(and(X_34,or(not(a),not(X_34)))))) )],[refute_0_14090,refute_0_14091]) ).
cnf(refute_0_14093,plain,
or(t1,not(and(X_34,or(not(a),not(X_34))))) = or(t1,or(not(X_34),and(a,X_34))),
inference(resolve,[$cnf( $equal(not(and(X_34,or(not(a),not(X_34)))),or(not(X_34),and(a,X_34))) )],[refute_0_14089,refute_0_14092]) ).
cnf(refute_0_14094,plain,
( or(t1,not(and(X_34,or(not(a),not(X_34))))) != or(t1,ll1)
| or(t1,not(and(X_34,or(not(a),not(X_34))))) != or(t1,or(not(X_34),and(a,X_34)))
| or(t1,or(not(X_34),and(a,X_34))) = or(t1,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,not(and(X_34,or(not(a),not(X_34))))),or(t1,ll1)) ),[0],$fot(or(t1,or(not(X_34),and(a,X_34))))]]) ).
cnf(refute_0_14095,plain,
( or(t1,not(and(X_34,or(not(a),not(X_34))))) != or(t1,ll1)
| or(t1,or(not(X_34),and(a,X_34))) = or(t1,ll1) ),
inference(resolve,[$cnf( $equal(or(t1,not(and(X_34,or(not(a),not(X_34))))),or(t1,or(not(X_34),and(a,X_34)))) )],[refute_0_14093,refute_0_14094]) ).
cnf(refute_0_14096,plain,
or(t1,ll1) = ll1,
inference(subst,[],[or_boundedness:[bind(X,$fot(t1))]]) ).
cnf(refute_0_14097,plain,
( or(t1,ll1) != ll1
| or(t1,or(not(X_34),and(a,X_34))) != or(t1,ll1)
| or(t1,or(not(X_34),and(a,X_34))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,or(not(X_34),and(a,X_34))),or(t1,ll1)) ),[1],$fot(ll1)]]) ).
cnf(refute_0_14098,plain,
( or(t1,or(not(X_34),and(a,X_34))) != or(t1,ll1)
| or(t1,or(not(X_34),and(a,X_34))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t1,ll1),ll1) )],[refute_0_14096,refute_0_14097]) ).
cnf(refute_0_14099,plain,
( or(t1,not(and(X_34,or(not(a),not(X_34))))) != or(t1,ll1)
| or(t1,or(not(X_34),and(a,X_34))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t1,or(not(X_34),and(a,X_34))),or(t1,ll1)) )],[refute_0_14095,refute_0_14098]) ).
cnf(refute_0_14100,plain,
or(t1,or(not(X_34),and(a,X_34))) = ll1,
inference(resolve,[$cnf( $equal(or(t1,not(and(X_34,or(not(a),not(X_34))))),or(t1,ll1)) )],[refute_0_14076,refute_0_14099]) ).
cnf(refute_0_14101,plain,
or(t1,or(not(xor(t6,or(b,t5))),and(a,xor(t6,or(b,t5))))) = ll1,
inference(subst,[],[refute_0_14100:[bind(X_34,$fot(xor(t6,or(b,t5))))]]) ).
cnf(refute_0_14102,plain,
and(t6,not(and(cin,not(t2)))) = xor(t6,and(cin,not(t2))),
inference(subst,[],[refute_0_1092:[bind(X_55,$fot(not(t2)))]]) ).
cnf(refute_0_14103,plain,
( and(cin,not(t2)) != not(or(t2,t5))
| and(t6,not(and(cin,not(t2)))) != xor(t6,and(cin,not(t2)))
| and(t6,not(and(cin,not(t2)))) = xor(t6,not(or(t2,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(and(cin,not(t2)))),xor(t6,and(cin,not(t2)))) ),[1,1],$fot(not(or(t2,t5)))]]) ).
cnf(refute_0_14104,plain,
( and(t6,not(and(cin,not(t2)))) != xor(t6,and(cin,not(t2)))
| and(t6,not(and(cin,not(t2)))) = xor(t6,not(or(t2,t5))) ),
inference(resolve,[$cnf( $equal(and(cin,not(t2)),not(or(t2,t5))) )],[refute_0_9030,refute_0_14103]) ).
cnf(refute_0_14105,plain,
and(t6,not(and(cin,not(t2)))) = xor(t6,not(or(t2,t5))),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,not(t2)))),xor(t6,and(cin,not(t2)))) )],[refute_0_14102,refute_0_14104]) ).
cnf(refute_0_14106,plain,
not(and(not(t2),cin)) = not(and(cin,not(t2))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(cin)),bind(X_32,$fot(not(t2)))]]) ).
cnf(refute_0_14107,plain,
( and(cin,not(t2)) != not(or(t2,t5))
| not(and(not(t2),cin)) != not(and(cin,not(t2)))
| not(and(not(t2),cin)) = not(not(or(t2,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t2),cin)),not(and(cin,not(t2)))) ),[1,0],$fot(not(or(t2,t5)))]]) ).
cnf(refute_0_14108,plain,
( not(and(not(t2),cin)) != not(and(cin,not(t2)))
| not(and(not(t2),cin)) = not(not(or(t2,t5))) ),
inference(resolve,[$cnf( $equal(and(cin,not(t2)),not(or(t2,t5))) )],[refute_0_9030,refute_0_14107]) ).
cnf(refute_0_14109,plain,
not(and(not(t2),cin)) = not(not(or(t2,t5))),
inference(resolve,[$cnf( $equal(not(and(not(t2),cin)),not(and(cin,not(t2)))) )],[refute_0_14106,refute_0_14108]) ).
cnf(refute_0_14110,plain,
not(and(not(t2),cin)) = or(t2,not(cin)),
inference(subst,[],[refute_0_787:[bind(X,$fot(t2)),bind(X_32,$fot(cin))]]) ).
cnf(refute_0_14111,plain,
( not(and(not(t2),cin)) != not(not(or(t2,t5)))
| not(and(not(t2),cin)) != or(t2,not(cin))
| or(t2,not(cin)) = not(not(or(t2,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t2),cin)),not(not(or(t2,t5)))) ),[0],$fot(or(t2,not(cin)))]]) ).
cnf(refute_0_14112,plain,
( not(and(not(t2),cin)) != not(not(or(t2,t5)))
| or(t2,not(cin)) = not(not(or(t2,t5))) ),
inference(resolve,[$cnf( $equal(not(and(not(t2),cin)),or(t2,not(cin))) )],[refute_0_14110,refute_0_14111]) ).
cnf(refute_0_14113,plain,
not(not(or(t2,t5))) = or(t2,t5),
inference(subst,[],[not_involution:[bind(X,$fot(or(t2,t5)))]]) ).
cnf(refute_0_14114,plain,
( not(not(or(t2,t5))) != or(t2,t5)
| or(t2,not(cin)) != not(not(or(t2,t5)))
| or(t2,not(cin)) = or(t2,t5) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,not(cin)),not(not(or(t2,t5)))) ),[1],$fot(or(t2,t5))]]) ).
cnf(refute_0_14115,plain,
( or(t2,not(cin)) != not(not(or(t2,t5)))
| or(t2,not(cin)) = or(t2,t5) ),
inference(resolve,[$cnf( $equal(not(not(or(t2,t5))),or(t2,t5)) )],[refute_0_14113,refute_0_14114]) ).
cnf(refute_0_14116,plain,
( not(and(not(t2),cin)) != not(not(or(t2,t5)))
| or(t2,not(cin)) = or(t2,t5) ),
inference(resolve,[$cnf( $equal(or(t2,not(cin)),not(not(or(t2,t5)))) )],[refute_0_14112,refute_0_14115]) ).
cnf(refute_0_14117,plain,
or(t2,not(cin)) = or(t2,t5),
inference(resolve,[$cnf( $equal(not(and(not(t2),cin)),not(not(or(t2,t5)))) )],[refute_0_14109,refute_0_14116]) ).
cnf(refute_0_14118,plain,
and(t6,or(t2,not(cin))) = and(t6,or(t2,not(cin))),
introduced(tautology,[refl,[$fot(and(t6,or(t2,not(cin))))]]) ).
cnf(refute_0_14119,plain,
( and(t6,or(t2,not(cin))) != and(t6,or(t2,not(cin)))
| or(t2,not(cin)) != or(t2,t5)
| and(t6,or(t2,not(cin))) = and(t6,or(t2,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(t2,not(cin))),and(t6,or(t2,not(cin)))) ),[1,1],$fot(or(t2,t5))]]) ).
cnf(refute_0_14120,plain,
( or(t2,not(cin)) != or(t2,t5)
| and(t6,or(t2,not(cin))) = and(t6,or(t2,t5)) ),
inference(resolve,[$cnf( $equal(and(t6,or(t2,not(cin))),and(t6,or(t2,not(cin)))) )],[refute_0_14118,refute_0_14119]) ).
cnf(refute_0_14121,plain,
and(t6,or(t2,not(cin))) = and(t6,or(t2,t5)),
inference(resolve,[$cnf( $equal(or(t2,not(cin)),or(t2,t5)) )],[refute_0_14117,refute_0_14120]) ).
cnf(refute_0_14122,plain,
xor(t6,and(cin,not(t2))) = and(t6,or(t2,not(cin))),
inference(subst,[],[refute_0_7535:[bind(X,$fot(t2))]]) ).
cnf(refute_0_14123,plain,
( and(t6,not(and(cin,not(t2)))) != xor(t6,and(cin,not(t2)))
| xor(t6,and(cin,not(t2))) != and(t6,or(t2,not(cin)))
| and(t6,not(and(cin,not(t2)))) = and(t6,or(t2,not(cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t6,not(and(cin,not(t2)))))),bind(Y0,$fot(xor(t6,and(cin,not(t2))))),bind(Z0,$fot(and(t6,or(t2,not(cin)))))]]) ).
cnf(refute_0_14124,plain,
( xor(t6,and(cin,not(t2))) != and(t6,or(t2,not(cin)))
| and(t6,not(and(cin,not(t2)))) = and(t6,or(t2,not(cin))) ),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,not(t2)))),xor(t6,and(cin,not(t2)))) )],[refute_0_14102,refute_0_14123]) ).
cnf(refute_0_14125,plain,
and(t6,not(and(cin,not(t2)))) = and(t6,or(t2,not(cin))),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,not(t2))),and(t6,or(t2,not(cin)))) )],[refute_0_14122,refute_0_14124]) ).
cnf(refute_0_14126,plain,
( and(t6,not(and(cin,not(t2)))) != and(t6,or(t2,not(cin)))
| and(t6,or(t2,not(cin))) != and(t6,or(t2,t5))
| and(t6,not(and(cin,not(t2)))) = and(t6,or(t2,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t6,not(and(cin,not(t2)))))),bind(Y0,$fot(and(t6,or(t2,not(cin))))),bind(Z0,$fot(and(t6,or(t2,t5))))]]) ).
cnf(refute_0_14127,plain,
( and(t6,or(t2,not(cin))) != and(t6,or(t2,t5))
| and(t6,not(and(cin,not(t2)))) = and(t6,or(t2,t5)) ),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,not(t2)))),and(t6,or(t2,not(cin)))) )],[refute_0_14125,refute_0_14126]) ).
cnf(refute_0_14128,plain,
and(t6,not(and(cin,not(t2)))) = and(t6,or(t2,t5)),
inference(resolve,[$cnf( $equal(and(t6,or(t2,not(cin))),and(t6,or(t2,t5))) )],[refute_0_14121,refute_0_14127]) ).
cnf(refute_0_14129,plain,
( and(t6,not(and(cin,not(t2)))) != and(t6,or(t2,t5))
| and(t6,not(and(cin,not(t2)))) != xor(t6,not(or(t2,t5)))
| and(t6,or(t2,t5)) = xor(t6,not(or(t2,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(and(cin,not(t2)))),xor(t6,not(or(t2,t5)))) ),[0],$fot(and(t6,or(t2,t5)))]]) ).
cnf(refute_0_14130,plain,
( and(t6,not(and(cin,not(t2)))) != xor(t6,not(or(t2,t5)))
| and(t6,or(t2,t5)) = xor(t6,not(or(t2,t5))) ),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,not(t2)))),and(t6,or(t2,t5))) )],[refute_0_14128,refute_0_14129]) ).
cnf(refute_0_14131,plain,
and(t6,or(t2,t5)) = xor(t6,not(or(t2,t5))),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,not(t2)))),xor(t6,not(or(t2,t5)))) )],[refute_0_14105,refute_0_14130]) ).
cnf(refute_0_14132,plain,
xor(t6,not(or(t2,t5))) = not(xor(t6,or(t2,t5))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t6)),bind(X_334,$fot(or(t2,t5)))]]) ).
cnf(refute_0_14133,plain,
( and(t6,or(t2,t5)) != xor(t6,not(or(t2,t5)))
| xor(t6,not(or(t2,t5))) != not(xor(t6,or(t2,t5)))
| and(t6,or(t2,t5)) = not(xor(t6,or(t2,t5))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,or(t2,t5)),not(xor(t6,or(t2,t5)))) ),[0],$fot(xor(t6,not(or(t2,t5))))]]) ).
cnf(refute_0_14134,plain,
( and(t6,or(t2,t5)) != xor(t6,not(or(t2,t5)))
| and(t6,or(t2,t5)) = not(xor(t6,or(t2,t5))) ),
inference(resolve,[$cnf( $equal(xor(t6,not(or(t2,t5))),not(xor(t6,or(t2,t5)))) )],[refute_0_14132,refute_0_14133]) ).
cnf(refute_0_14135,plain,
and(t6,or(t2,t5)) = not(xor(t6,or(t2,t5))),
inference(resolve,[$cnf( $equal(and(t6,or(t2,t5)),xor(t6,not(or(t2,t5)))) )],[refute_0_14131,refute_0_14134]) ).
cnf(refute_0_14136,plain,
not(and(not(t5),a)) = not(and(a,not(t5))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(a)),bind(X_32,$fot(not(t5)))]]) ).
cnf(refute_0_14137,plain,
and(not(t2),not(t5)) = and(a,and(t1,not(t5))),
inference(subst,[],[refute_0_1927:[bind(X_222,$fot(not(t5)))]]) ).
cnf(refute_0_14138,plain,
( and(not(t2),not(t5)) != and(a,and(t1,not(t5)))
| and(t1,not(t5)) != not(t5)
| and(not(t2),not(t5)) = and(a,not(t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),not(t5)),and(a,and(t1,not(t5)))) ),[1,1],$fot(not(t5))]]) ).
cnf(refute_0_14139,plain,
( and(not(t2),not(t5)) != and(a,and(t1,not(t5)))
| and(not(t2),not(t5)) = and(a,not(t5)) ),
inference(resolve,[$cnf( $equal(and(t1,not(t5)),not(t5)) )],[refute_0_1304,refute_0_14138]) ).
cnf(refute_0_14140,plain,
and(not(t2),not(t5)) = and(a,not(t5)),
inference(resolve,[$cnf( $equal(and(not(t2),not(t5)),and(a,and(t1,not(t5)))) )],[refute_0_14137,refute_0_14139]) ).
cnf(refute_0_14141,plain,
and(not(t2),not(t5)) = not(or(t2,t5)),
inference(subst,[],[refute_0_101:[bind(X,$fot(t2)),bind(Y,$fot(t5))]]) ).
cnf(refute_0_14142,plain,
( and(not(t2),not(t5)) != and(a,not(t5))
| and(not(t2),not(t5)) != not(or(t2,t5))
| not(or(t2,t5)) = and(a,not(t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),not(t5)),and(a,not(t5))) ),[0],$fot(not(or(t2,t5)))]]) ).
cnf(refute_0_14143,plain,
( and(not(t2),not(t5)) != and(a,not(t5))
| not(or(t2,t5)) = and(a,not(t5)) ),
inference(resolve,[$cnf( $equal(and(not(t2),not(t5)),not(or(t2,t5))) )],[refute_0_14141,refute_0_14142]) ).
cnf(refute_0_14144,plain,
not(or(t2,t5)) = and(a,not(t5)),
inference(resolve,[$cnf( $equal(and(not(t2),not(t5)),and(a,not(t5))) )],[refute_0_14140,refute_0_14143]) ).
cnf(refute_0_14145,plain,
and(not(t5),t3) = and(carry,and(t1,t3)),
inference(subst,[],[refute_0_11700:[bind(Z,$fot(t3))]]) ).
cnf(refute_0_14146,plain,
( and(not(t5),t3) != and(carry,and(t1,t3))
| and(t1,t3) != not(b)
| and(not(t5),t3) = and(carry,not(b)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),t3),and(carry,and(t1,t3))) ),[1,1],$fot(not(b))]]) ).
cnf(refute_0_14147,plain,
( and(not(t5),t3) != and(carry,and(t1,t3))
| and(not(t5),t3) = and(carry,not(b)) ),
inference(resolve,[$cnf( $equal(and(t1,t3),not(b)) )],[refute_0_3032,refute_0_14146]) ).
cnf(refute_0_14148,plain,
and(not(t5),t3) = and(carry,not(b)),
inference(resolve,[$cnf( $equal(and(not(t5),t3),and(carry,and(t1,t3))) )],[refute_0_14145,refute_0_14147]) ).
cnf(refute_0_14149,plain,
and(not(t5),X_235) = and(cin,and(t4,X_235)),
inference(subst,[],[refute_0_841:[bind(X_222,$fot(X_235))]]) ).
cnf(refute_0_14150,plain,
and(X_235,t4) = and(t4,X_235),
inference(subst,[],[and_commutative:[bind(X,$fot(X_235)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_14151,plain,
( and(X_235,t4) != and(t4,X_235)
| and(t4,X_235) = and(X_235,t4) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X_235,t4))),bind(Y0,$fot(and(t4,X_235)))]]) ).
cnf(refute_0_14152,plain,
and(t4,X_235) = and(X_235,t4),
inference(resolve,[$cnf( $equal(and(X_235,t4),and(t4,X_235)) )],[refute_0_14150,refute_0_14151]) ).
cnf(refute_0_14153,plain,
( and(not(t5),X_235) != and(cin,and(t4,X_235))
| and(t4,X_235) != and(X_235,t4)
| and(not(t5),X_235) = and(cin,and(X_235,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),X_235),and(cin,and(t4,X_235))) ),[1,1],$fot(and(X_235,t4))]]) ).
cnf(refute_0_14154,plain,
( and(not(t5),X_235) != and(cin,and(t4,X_235))
| and(not(t5),X_235) = and(cin,and(X_235,t4)) ),
inference(resolve,[$cnf( $equal(and(t4,X_235),and(X_235,t4)) )],[refute_0_14152,refute_0_14153]) ).
cnf(refute_0_14155,plain,
and(not(t5),X_235) = and(cin,and(X_235,t4)),
inference(resolve,[$cnf( $equal(and(not(t5),X_235),and(cin,and(t4,X_235))) )],[refute_0_14149,refute_0_14154]) ).
cnf(refute_0_14156,plain,
and(not(t5),t3) = and(cin,and(t3,t4)),
inference(subst,[],[refute_0_14155:[bind(X_235,$fot(t3))]]) ).
cnf(refute_0_14157,plain,
not(xor(t2,xor(t3,t3))) = not(xor(t4,t3)),
inference(subst,[],[refute_0_1764:[bind(X_335,$fot(t3))]]) ).
cnf(refute_0_14158,plain,
( not(xor(t2,xor(t3,t3))) != not(xor(t4,t3))
| xor(t3,t3) != ll0
| not(xor(t2,ll0)) = not(xor(t4,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t2,xor(t3,t3))),not(xor(t4,t3))) ),[0,0,1],$fot(ll0)]]) ).
cnf(refute_0_14159,plain,
( not(xor(t2,xor(t3,t3))) != not(xor(t4,t3))
| not(xor(t2,ll0)) = not(xor(t4,t3)) ),
inference(resolve,[$cnf( $equal(xor(t3,t3),ll0) )],[refute_0_6896,refute_0_14158]) ).
cnf(refute_0_14160,plain,
not(xor(t2,ll0)) = not(xor(t4,t3)),
inference(resolve,[$cnf( $equal(not(xor(t2,xor(t3,t3))),not(xor(t4,t3))) )],[refute_0_14157,refute_0_14159]) ).
cnf(refute_0_14161,plain,
xor(t2,ll0) = t2,
inference(subst,[],[refute_0_1378:[bind(X_63,$fot(t2))]]) ).
cnf(refute_0_14162,plain,
not(xor(t2,ll0)) = not(xor(t2,ll0)),
introduced(tautology,[refl,[$fot(not(xor(t2,ll0)))]]) ).
cnf(refute_0_14163,plain,
( not(xor(t2,ll0)) != not(xor(t2,ll0))
| xor(t2,ll0) != t2
| not(xor(t2,ll0)) = not(t2) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t2,ll0)),not(xor(t2,ll0))) ),[1,0],$fot(t2)]]) ).
cnf(refute_0_14164,plain,
( xor(t2,ll0) != t2
| not(xor(t2,ll0)) = not(t2) ),
inference(resolve,[$cnf( $equal(not(xor(t2,ll0)),not(xor(t2,ll0))) )],[refute_0_14162,refute_0_14163]) ).
cnf(refute_0_14165,plain,
not(xor(t2,ll0)) = not(t2),
inference(resolve,[$cnf( $equal(xor(t2,ll0),t2) )],[refute_0_14161,refute_0_14164]) ).
cnf(refute_0_14166,plain,
( not(xor(t2,ll0)) != not(t2)
| not(xor(t2,ll0)) != not(xor(t4,t3))
| not(t2) = not(xor(t4,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t2,ll0)),not(xor(t4,t3))) ),[0],$fot(not(t2))]]) ).
cnf(refute_0_14167,plain,
( not(xor(t2,ll0)) != not(xor(t4,t3))
| not(t2) = not(xor(t4,t3)) ),
inference(resolve,[$cnf( $equal(not(xor(t2,ll0)),not(t2)) )],[refute_0_14165,refute_0_14166]) ).
cnf(refute_0_14168,plain,
not(not(and(t3,t4))) = and(t3,t4),
inference(subst,[],[not_involution:[bind(X,$fot(and(t3,t4)))]]) ).
cnf(refute_0_14169,plain,
or(and(t3,not(t4)),and(not(t3),t4)) = xor(t3,t4),
inference(subst,[],[refute_0_9:[bind(X,$fot(t3)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_14170,plain,
and(not(t4),or(t3,not(t4))) = not(t4),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(not(t4))),bind(X_20,$fot(t3))]]) ).
cnf(refute_0_14171,plain,
( and(not(t4),or(t3,not(t4))) != not(t4)
| or(t3,not(t4)) != t3
| and(not(t4),t3) = not(t4) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),or(t3,not(t4))),not(t4)) ),[0,1],$fot(t3)]]) ).
cnf(refute_0_14172,plain,
( and(not(t4),or(t3,not(t4))) != not(t4)
| and(not(t4),t3) = not(t4) ),
inference(resolve,[$cnf( $equal(or(t3,not(t4)),t3) )],[refute_0_619,refute_0_14171]) ).
cnf(refute_0_14173,plain,
and(not(t4),t3) = not(t4),
inference(resolve,[$cnf( $equal(and(not(t4),or(t3,not(t4))),not(t4)) )],[refute_0_14170,refute_0_14172]) ).
cnf(refute_0_14174,plain,
and(not(t4),t3) = and(t3,not(t4)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t3)),bind(Y,$fot(not(t4)))]]) ).
cnf(refute_0_14175,plain,
( and(not(t4),t3) != and(t3,not(t4))
| and(not(t4),t3) != not(t4)
| and(t3,not(t4)) = not(t4) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),t3),not(t4)) ),[0],$fot(and(t3,not(t4)))]]) ).
cnf(refute_0_14176,plain,
( and(not(t4),t3) != not(t4)
| and(t3,not(t4)) = not(t4) ),
inference(resolve,[$cnf( $equal(and(not(t4),t3),and(t3,not(t4))) )],[refute_0_14174,refute_0_14175]) ).
cnf(refute_0_14177,plain,
and(t3,not(t4)) = not(t4),
inference(resolve,[$cnf( $equal(and(not(t4),t3),not(t4)) )],[refute_0_14173,refute_0_14176]) ).
cnf(refute_0_14178,plain,
( and(t3,not(t4)) != not(t4)
| or(and(t3,not(t4)),and(not(t3),t4)) != xor(t3,t4)
| or(not(t4),and(not(t3),t4)) = xor(t3,t4) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t3,not(t4)),and(not(t3),t4)),xor(t3,t4)) ),[0,0],$fot(not(t4))]]) ).
cnf(refute_0_14179,plain,
( or(and(t3,not(t4)),and(not(t3),t4)) != xor(t3,t4)
| or(not(t4),and(not(t3),t4)) = xor(t3,t4) ),
inference(resolve,[$cnf( $equal(and(t3,not(t4)),not(t4)) )],[refute_0_14177,refute_0_14178]) ).
cnf(refute_0_14180,plain,
or(not(t4),and(not(t3),t4)) = xor(t3,t4),
inference(resolve,[$cnf( $equal(or(and(t3,not(t4)),and(not(t3),t4)),xor(t3,t4)) )],[refute_0_14169,refute_0_14179]) ).
cnf(refute_0_14181,plain,
not(and(t4,t3)) = not(and(t3,t4)),
inference(subst,[],[refute_0_333:[bind(X_31,$fot(t4)),bind(X_32,$fot(t3))]]) ).
cnf(refute_0_14182,plain,
or(not(t4),not(t3)) = not(and(t4,t3)),
inference(subst,[],[refute_0_147:[bind(X,$fot(t4)),bind(Y,$fot(t3))]]) ).
cnf(refute_0_14183,plain,
( not(and(t4,t3)) != not(and(t3,t4))
| or(not(t4),not(t3)) != not(and(t4,t3))
| or(not(t4),not(t3)) = not(and(t3,t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t4),not(t3)))),bind(Y0,$fot(not(and(t4,t3)))),bind(Z0,$fot(not(and(t3,t4))))]]) ).
cnf(refute_0_14184,plain,
( not(and(t4,t3)) != not(and(t3,t4))
| or(not(t4),not(t3)) = not(and(t3,t4)) ),
inference(resolve,[$cnf( $equal(or(not(t4),not(t3)),not(and(t4,t3))) )],[refute_0_14182,refute_0_14183]) ).
cnf(refute_0_14185,plain,
or(not(t4),not(t3)) = not(and(t3,t4)),
inference(resolve,[$cnf( $equal(not(and(t4,t3)),not(and(t3,t4))) )],[refute_0_14181,refute_0_14184]) ).
cnf(refute_0_14186,plain,
not(or(not(t4),t3)) = not(or(t3,not(t4))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(t3)),bind(X_26,$fot(not(t4)))]]) ).
cnf(refute_0_14187,plain,
( not(or(not(t4),t3)) != not(or(t3,not(t4)))
| or(t3,not(t4)) != t3
| not(or(not(t4),t3)) = not(t3) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(t4),t3)),not(or(t3,not(t4)))) ),[1,0],$fot(t3)]]) ).
cnf(refute_0_14188,plain,
( not(or(not(t4),t3)) != not(or(t3,not(t4)))
| not(or(not(t4),t3)) = not(t3) ),
inference(resolve,[$cnf( $equal(or(t3,not(t4)),t3) )],[refute_0_619,refute_0_14187]) ).
cnf(refute_0_14189,plain,
not(or(not(t4),t3)) = not(t3),
inference(resolve,[$cnf( $equal(not(or(not(t4),t3)),not(or(t3,not(t4)))) )],[refute_0_14186,refute_0_14188]) ).
cnf(refute_0_14190,plain,
not(or(not(t4),t3)) = and(t4,not(t3)),
inference(subst,[],[refute_0_159:[bind(X,$fot(t4)),bind(X_26,$fot(t3))]]) ).
cnf(refute_0_14191,plain,
( not(or(not(t4),t3)) != and(t4,not(t3))
| not(or(not(t4),t3)) != not(t3)
| and(t4,not(t3)) = not(t3) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(t4),t3)),not(t3)) ),[0],$fot(and(t4,not(t3)))]]) ).
cnf(refute_0_14192,plain,
( not(or(not(t4),t3)) != not(t3)
| and(t4,not(t3)) = not(t3) ),
inference(resolve,[$cnf( $equal(not(or(not(t4),t3)),and(t4,not(t3))) )],[refute_0_14190,refute_0_14191]) ).
cnf(refute_0_14193,plain,
and(t4,not(t3)) = not(t3),
inference(resolve,[$cnf( $equal(not(or(not(t4),t3)),not(t3)) )],[refute_0_14189,refute_0_14192]) ).
cnf(refute_0_14194,plain,
and(not(t3),t4) = and(t4,not(t3)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t4)),bind(Y,$fot(not(t3)))]]) ).
cnf(refute_0_14195,plain,
( and(not(t3),t4) != and(t4,not(t3))
| and(t4,not(t3)) != not(t3)
| and(not(t3),t4) = not(t3) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t3),t4))),bind(Y0,$fot(and(t4,not(t3)))),bind(Z0,$fot(not(t3)))]]) ).
cnf(refute_0_14196,plain,
( and(t4,not(t3)) != not(t3)
| and(not(t3),t4) = not(t3) ),
inference(resolve,[$cnf( $equal(and(not(t3),t4),and(t4,not(t3))) )],[refute_0_14194,refute_0_14195]) ).
cnf(refute_0_14197,plain,
and(not(t3),t4) = not(t3),
inference(resolve,[$cnf( $equal(and(t4,not(t3)),not(t3)) )],[refute_0_14193,refute_0_14196]) ).
cnf(refute_0_14198,plain,
or(not(t4),and(not(t3),t4)) = or(not(t4),and(not(t3),t4)),
introduced(tautology,[refl,[$fot(or(not(t4),and(not(t3),t4)))]]) ).
cnf(refute_0_14199,plain,
( and(not(t3),t4) != not(t3)
| or(not(t4),and(not(t3),t4)) != or(not(t4),and(not(t3),t4))
| or(not(t4),and(not(t3),t4)) = or(not(t4),not(t3)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t4),and(not(t3),t4)),or(not(t4),and(not(t3),t4))) ),[1,1],$fot(not(t3))]]) ).
cnf(refute_0_14200,plain,
( and(not(t3),t4) != not(t3)
| or(not(t4),and(not(t3),t4)) = or(not(t4),not(t3)) ),
inference(resolve,[$cnf( $equal(or(not(t4),and(not(t3),t4)),or(not(t4),and(not(t3),t4))) )],[refute_0_14198,refute_0_14199]) ).
cnf(refute_0_14201,plain,
or(not(t4),and(not(t3),t4)) = or(not(t4),not(t3)),
inference(resolve,[$cnf( $equal(and(not(t3),t4),not(t3)) )],[refute_0_14197,refute_0_14200]) ).
cnf(refute_0_14202,plain,
( or(not(t4),and(not(t3),t4)) != or(not(t4),not(t3))
| or(not(t4),not(t3)) != not(and(t3,t4))
| or(not(t4),and(not(t3),t4)) = not(and(t3,t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t4),and(not(t3),t4)))),bind(Y0,$fot(or(not(t4),not(t3)))),bind(Z0,$fot(not(and(t3,t4))))]]) ).
cnf(refute_0_14203,plain,
( or(not(t4),not(t3)) != not(and(t3,t4))
| or(not(t4),and(not(t3),t4)) = not(and(t3,t4)) ),
inference(resolve,[$cnf( $equal(or(not(t4),and(not(t3),t4)),or(not(t4),not(t3))) )],[refute_0_14201,refute_0_14202]) ).
cnf(refute_0_14204,plain,
or(not(t4),and(not(t3),t4)) = not(and(t3,t4)),
inference(resolve,[$cnf( $equal(or(not(t4),not(t3)),not(and(t3,t4))) )],[refute_0_14185,refute_0_14203]) ).
cnf(refute_0_14205,plain,
( or(not(t4),and(not(t3),t4)) != not(and(t3,t4))
| or(not(t4),and(not(t3),t4)) != xor(t3,t4)
| not(and(t3,t4)) = xor(t3,t4) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t4),and(not(t3),t4)),xor(t3,t4)) ),[0],$fot(not(and(t3,t4)))]]) ).
cnf(refute_0_14206,plain,
( or(not(t4),and(not(t3),t4)) != xor(t3,t4)
| not(and(t3,t4)) = xor(t3,t4) ),
inference(resolve,[$cnf( $equal(or(not(t4),and(not(t3),t4)),not(and(t3,t4))) )],[refute_0_14204,refute_0_14205]) ).
cnf(refute_0_14207,plain,
not(and(t3,t4)) = xor(t3,t4),
inference(resolve,[$cnf( $equal(or(not(t4),and(not(t3),t4)),xor(t3,t4)) )],[refute_0_14180,refute_0_14206]) ).
cnf(refute_0_14208,plain,
( not(and(t3,t4)) != xor(t3,t4)
| not(not(and(t3,t4))) != and(t3,t4)
| not(xor(t3,t4)) = and(t3,t4) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(t3,t4))),and(t3,t4)) ),[0,0],$fot(xor(t3,t4))]]) ).
cnf(refute_0_14209,plain,
( not(not(and(t3,t4))) != and(t3,t4)
| not(xor(t3,t4)) = and(t3,t4) ),
inference(resolve,[$cnf( $equal(not(and(t3,t4)),xor(t3,t4)) )],[refute_0_14207,refute_0_14208]) ).
cnf(refute_0_14210,plain,
not(xor(t3,t4)) = and(t3,t4),
inference(resolve,[$cnf( $equal(not(not(and(t3,t4))),and(t3,t4)) )],[refute_0_14168,refute_0_14209]) ).
cnf(refute_0_14211,plain,
xor(t4,t3) = xor(t3,t4),
inference(subst,[],[refute_0_1863:[bind(X_333,$fot(t4))]]) ).
cnf(refute_0_14212,plain,
not(xor(t4,t3)) = not(xor(t4,t3)),
introduced(tautology,[refl,[$fot(not(xor(t4,t3)))]]) ).
cnf(refute_0_14213,plain,
( not(xor(t4,t3)) != not(xor(t4,t3))
| xor(t4,t3) != xor(t3,t4)
| not(xor(t4,t3)) = not(xor(t3,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t4,t3)),not(xor(t4,t3))) ),[1,0],$fot(xor(t3,t4))]]) ).
cnf(refute_0_14214,plain,
( xor(t4,t3) != xor(t3,t4)
| not(xor(t4,t3)) = not(xor(t3,t4)) ),
inference(resolve,[$cnf( $equal(not(xor(t4,t3)),not(xor(t4,t3))) )],[refute_0_14212,refute_0_14213]) ).
cnf(refute_0_14215,plain,
not(xor(t4,t3)) = not(xor(t3,t4)),
inference(resolve,[$cnf( $equal(xor(t4,t3),xor(t3,t4)) )],[refute_0_14211,refute_0_14214]) ).
cnf(refute_0_14216,plain,
( not(xor(t3,t4)) != and(t3,t4)
| not(xor(t4,t3)) != not(xor(t3,t4))
| not(xor(t4,t3)) = and(t3,t4) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t4,t3)))),bind(Y0,$fot(not(xor(t3,t4)))),bind(Z0,$fot(and(t3,t4)))]]) ).
cnf(refute_0_14217,plain,
( not(xor(t3,t4)) != and(t3,t4)
| not(xor(t4,t3)) = and(t3,t4) ),
inference(resolve,[$cnf( $equal(not(xor(t4,t3)),not(xor(t3,t4))) )],[refute_0_14215,refute_0_14216]) ).
cnf(refute_0_14218,plain,
not(xor(t4,t3)) = and(t3,t4),
inference(resolve,[$cnf( $equal(not(xor(t3,t4)),and(t3,t4)) )],[refute_0_14210,refute_0_14217]) ).
cnf(refute_0_14219,plain,
( not(t2) != not(xor(t4,t3))
| not(xor(t4,t3)) != and(t3,t4)
| not(t2) = and(t3,t4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(t2),and(t3,t4)) ),[0],$fot(not(xor(t4,t3)))]]) ).
cnf(refute_0_14220,plain,
( not(t2) != not(xor(t4,t3))
| not(t2) = and(t3,t4) ),
inference(resolve,[$cnf( $equal(not(xor(t4,t3)),and(t3,t4)) )],[refute_0_14218,refute_0_14219]) ).
cnf(refute_0_14221,plain,
( not(xor(t2,ll0)) != not(xor(t4,t3))
| not(t2) = and(t3,t4) ),
inference(resolve,[$cnf( $equal(not(t2),not(xor(t4,t3))) )],[refute_0_14167,refute_0_14220]) ).
cnf(refute_0_14222,plain,
not(t2) = and(t3,t4),
inference(resolve,[$cnf( $equal(not(xor(t2,ll0)),not(xor(t4,t3))) )],[refute_0_14160,refute_0_14221]) ).
cnf(refute_0_14223,plain,
( not(t2) != and(t3,t4)
| and(t3,t4) = not(t2) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t2))),bind(Y0,$fot(and(t3,t4)))]]) ).
cnf(refute_0_14224,plain,
and(t3,t4) = not(t2),
inference(resolve,[$cnf( $equal(not(t2),and(t3,t4)) )],[refute_0_14222,refute_0_14223]) ).
cnf(refute_0_14225,plain,
( and(not(t5),t3) != and(cin,and(t3,t4))
| and(t3,t4) != not(t2)
| and(not(t5),t3) = and(cin,not(t2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),t3),and(cin,and(t3,t4))) ),[1,1],$fot(not(t2))]]) ).
cnf(refute_0_14226,plain,
( and(not(t5),t3) != and(cin,and(t3,t4))
| and(not(t5),t3) = and(cin,not(t2)) ),
inference(resolve,[$cnf( $equal(and(t3,t4),not(t2)) )],[refute_0_14224,refute_0_14225]) ).
cnf(refute_0_14227,plain,
and(not(t5),t3) = and(cin,not(t2)),
inference(resolve,[$cnf( $equal(and(not(t5),t3),and(cin,and(t3,t4))) )],[refute_0_14156,refute_0_14226]) ).
cnf(refute_0_14228,plain,
and(not(t5),t3) = and(t3,not(t5)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t3)),bind(Y,$fot(not(t5)))]]) ).
cnf(refute_0_14229,plain,
( and(not(t5),t3) != and(cin,not(t2))
| and(not(t5),t3) != and(t3,not(t5))
| and(t3,not(t5)) = and(cin,not(t2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),t3),and(cin,not(t2))) ),[0],$fot(and(t3,not(t5)))]]) ).
cnf(refute_0_14230,plain,
( and(not(t5),t3) != and(cin,not(t2))
| and(t3,not(t5)) = and(cin,not(t2)) ),
inference(resolve,[$cnf( $equal(and(not(t5),t3),and(t3,not(t5))) )],[refute_0_14228,refute_0_14229]) ).
cnf(refute_0_14231,plain,
( and(cin,not(t2)) != not(or(t2,t5))
| and(t3,not(t5)) != and(cin,not(t2))
| and(t3,not(t5)) = not(or(t2,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,not(t5)),and(cin,not(t2))) ),[1],$fot(not(or(t2,t5)))]]) ).
cnf(refute_0_14232,plain,
( and(t3,not(t5)) != and(cin,not(t2))
| and(t3,not(t5)) = not(or(t2,t5)) ),
inference(resolve,[$cnf( $equal(and(cin,not(t2)),not(or(t2,t5))) )],[refute_0_9030,refute_0_14231]) ).
cnf(refute_0_14233,plain,
( and(not(t5),t3) != and(cin,not(t2))
| and(t3,not(t5)) = not(or(t2,t5)) ),
inference(resolve,[$cnf( $equal(and(t3,not(t5)),and(cin,not(t2))) )],[refute_0_14230,refute_0_14232]) ).
cnf(refute_0_14234,plain,
and(t3,not(t5)) = not(or(t2,t5)),
inference(resolve,[$cnf( $equal(and(not(t5),t3),and(cin,not(t2))) )],[refute_0_14227,refute_0_14233]) ).
cnf(refute_0_14235,plain,
( and(not(t5),t3) != and(t3,not(t5))
| and(t3,not(t5)) != not(or(t2,t5))
| and(not(t5),t3) = not(or(t2,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t5),t3))),bind(Y0,$fot(and(t3,not(t5)))),bind(Z0,$fot(not(or(t2,t5))))]]) ).
cnf(refute_0_14236,plain,
( and(t3,not(t5)) != not(or(t2,t5))
| and(not(t5),t3) = not(or(t2,t5)) ),
inference(resolve,[$cnf( $equal(and(not(t5),t3),and(t3,not(t5))) )],[refute_0_14228,refute_0_14235]) ).
cnf(refute_0_14237,plain,
and(not(t5),t3) = not(or(t2,t5)),
inference(resolve,[$cnf( $equal(and(t3,not(t5)),not(or(t2,t5))) )],[refute_0_14234,refute_0_14236]) ).
cnf(refute_0_14238,plain,
( and(not(t5),t3) != and(carry,not(b))
| and(not(t5),t3) != not(or(t2,t5))
| not(or(t2,t5)) = and(carry,not(b)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),t3),and(carry,not(b))) ),[0],$fot(not(or(t2,t5)))]]) ).
cnf(refute_0_14239,plain,
( and(not(t5),t3) != and(carry,not(b))
| not(or(t2,t5)) = and(carry,not(b)) ),
inference(resolve,[$cnf( $equal(and(not(t5),t3),not(or(t2,t5))) )],[refute_0_14237,refute_0_14238]) ).
cnf(refute_0_14240,plain,
and(not(t5),not(b)) = and(carry,and(t1,not(b))),
inference(subst,[],[refute_0_11700:[bind(Z,$fot(not(b)))]]) ).
cnf(refute_0_14241,plain,
( and(not(t5),not(b)) != and(carry,and(t1,not(b)))
| and(t1,not(b)) != not(b)
| and(not(t5),not(b)) = and(carry,not(b)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),not(b)),and(carry,and(t1,not(b)))) ),[1,1],$fot(not(b))]]) ).
cnf(refute_0_14242,plain,
( and(not(t5),not(b)) != and(carry,and(t1,not(b)))
| and(not(t5),not(b)) = and(carry,not(b)) ),
inference(resolve,[$cnf( $equal(and(t1,not(b)),not(b)) )],[refute_0_1214,refute_0_14241]) ).
cnf(refute_0_14243,plain,
and(not(t5),not(b)) = and(carry,not(b)),
inference(resolve,[$cnf( $equal(and(not(t5),not(b)),and(carry,and(t1,not(b)))) )],[refute_0_14240,refute_0_14242]) ).
cnf(refute_0_14244,plain,
not(or(X,xor(t4,t6))) = and(not(X),not(xor(t4,t6))),
inference(subst,[],[or_demorgan:[bind(Y,$fot(xor(t4,t6)))]]) ).
cnf(refute_0_14245,plain,
( not(or(X,xor(t4,t6))) != and(not(X),not(xor(t4,t6)))
| not(xor(t4,t6)) != and(t4,t6)
| not(or(X,xor(t4,t6))) = and(not(X),and(t4,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t4,t6))),and(not(X),not(xor(t4,t6)))) ),[1,1],$fot(and(t4,t6))]]) ).
cnf(refute_0_14246,plain,
( not(or(X,xor(t4,t6))) != and(not(X),not(xor(t4,t6)))
| not(or(X,xor(t4,t6))) = and(not(X),and(t4,t6)) ),
inference(resolve,[$cnf( $equal(not(xor(t4,t6)),and(t4,t6)) )],[refute_0_12792,refute_0_14245]) ).
cnf(refute_0_14247,plain,
not(or(X,xor(t4,t6))) = and(not(X),and(t4,t6)),
inference(resolve,[$cnf( $equal(not(or(X,xor(t4,t6))),and(not(X),not(xor(t4,t6)))) )],[refute_0_14244,refute_0_14246]) ).
cnf(refute_0_14248,plain,
not(or(not(and(t4,t6)),X_26)) = and(and(t4,t6),not(X_26)),
inference(subst,[],[refute_0_159:[bind(X,$fot(and(t4,t6)))]]) ).
cnf(refute_0_14249,plain,
( not(and(t4,t6)) != xor(t4,t6)
| not(or(not(and(t4,t6)),X_26)) != and(and(t4,t6),not(X_26))
| not(or(xor(t4,t6),X_26)) = and(and(t4,t6),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(and(t4,t6)),X_26)),and(and(t4,t6),not(X_26))) ),[0,0,0],$fot(xor(t4,t6))]]) ).
cnf(refute_0_14250,plain,
( not(or(not(and(t4,t6)),X_26)) != and(and(t4,t6),not(X_26))
| not(or(xor(t4,t6),X_26)) = and(and(t4,t6),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(and(t4,t6)),xor(t4,t6)) )],[refute_0_12789,refute_0_14249]) ).
cnf(refute_0_14251,plain,
not(or(xor(t4,t6),X_26)) = and(and(t4,t6),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(not(and(t4,t6)),X_26)),and(and(t4,t6),not(X_26))) )],[refute_0_14248,refute_0_14250]) ).
cnf(refute_0_14252,plain,
and(and(t4,t6),not(X_26)) = and(t4,and(t6,not(X_26))),
inference(subst,[],[and_associative:[bind(X,$fot(t4)),bind(Y,$fot(t6)),bind(Z,$fot(not(X_26)))]]) ).
cnf(refute_0_14253,plain,
( and(and(t4,t6),not(X_26)) != and(t4,and(t6,not(X_26)))
| not(or(xor(t4,t6),X_26)) != and(and(t4,t6),not(X_26))
| not(or(xor(t4,t6),X_26)) = and(t4,and(t6,not(X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(t4,t6),X_26)),and(and(t4,t6),not(X_26))) ),[1],$fot(and(t4,and(t6,not(X_26))))]]) ).
cnf(refute_0_14254,plain,
( not(or(xor(t4,t6),X_26)) != and(and(t4,t6),not(X_26))
| not(or(xor(t4,t6),X_26)) = and(t4,and(t6,not(X_26))) ),
inference(resolve,[$cnf( $equal(and(and(t4,t6),not(X_26)),and(t4,and(t6,not(X_26)))) )],[refute_0_14252,refute_0_14253]) ).
cnf(refute_0_14255,plain,
not(or(xor(t4,t6),X_26)) = and(t4,and(t6,not(X_26))),
inference(resolve,[$cnf( $equal(not(or(xor(t4,t6),X_26)),and(and(t4,t6),not(X_26))) )],[refute_0_14251,refute_0_14254]) ).
cnf(refute_0_14256,plain,
( not(or(xor(t4,t6),X_26)) != and(t4,and(t6,not(X_26)))
| and(t4,and(t6,not(X_26))) = not(or(xor(t4,t6),X_26)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(xor(t4,t6),X_26)))),bind(Y0,$fot(and(t4,and(t6,not(X_26)))))]]) ).
cnf(refute_0_14257,plain,
and(t4,and(t6,not(X_26))) = not(or(xor(t4,t6),X_26)),
inference(resolve,[$cnf( $equal(not(or(xor(t4,t6),X_26)),and(t4,and(t6,not(X_26)))) )],[refute_0_14255,refute_0_14256]) ).
cnf(refute_0_14258,plain,
and(t4,and(t6,not(X))) = not(or(xor(t4,t6),X)),
inference(subst,[],[refute_0_14257:[bind(X_26,$fot(X))]]) ).
cnf(refute_0_14259,plain,
and(t4,and(not(X),t6)) = and(t4,and(t6,not(X))),
inference(subst,[],[refute_0_2637:[bind(X_220,$fot(t4)),bind(X_221,$fot(t6)),bind(X_222,$fot(not(X)))]]) ).
cnf(refute_0_14260,plain,
( and(t4,and(not(X),t6)) != and(t4,and(t6,not(X)))
| and(t4,and(t6,not(X))) != not(or(xor(t4,t6),X))
| and(t4,and(not(X),t6)) = not(or(xor(t4,t6),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t4,and(not(X),t6)))),bind(Y0,$fot(and(t4,and(t6,not(X))))),bind(Z0,$fot(not(or(xor(t4,t6),X))))]]) ).
cnf(refute_0_14261,plain,
( and(t4,and(t6,not(X))) != not(or(xor(t4,t6),X))
| and(t4,and(not(X),t6)) = not(or(xor(t4,t6),X)) ),
inference(resolve,[$cnf( $equal(and(t4,and(not(X),t6)),and(t4,and(t6,not(X)))) )],[refute_0_14259,refute_0_14260]) ).
cnf(refute_0_14262,plain,
and(t4,and(not(X),t6)) = not(or(xor(t4,t6),X)),
inference(resolve,[$cnf( $equal(and(t4,and(t6,not(X))),not(or(xor(t4,t6),X))) )],[refute_0_14258,refute_0_14261]) ).
cnf(refute_0_14263,plain,
and(not(X),and(t4,t6)) = and(t4,and(not(X),t6)),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(X))),bind(X_221,$fot(t4)),bind(X_222,$fot(t6))]]) ).
cnf(refute_0_14264,plain,
( and(not(X),and(t4,t6)) != and(t4,and(not(X),t6))
| and(t4,and(not(X),t6)) != not(or(xor(t4,t6),X))
| and(not(X),and(t4,t6)) = not(or(xor(t4,t6),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(X),and(t4,t6)))),bind(Y0,$fot(and(t4,and(not(X),t6)))),bind(Z0,$fot(not(or(xor(t4,t6),X))))]]) ).
cnf(refute_0_14265,plain,
( and(t4,and(not(X),t6)) != not(or(xor(t4,t6),X))
| and(not(X),and(t4,t6)) = not(or(xor(t4,t6),X)) ),
inference(resolve,[$cnf( $equal(and(not(X),and(t4,t6)),and(t4,and(not(X),t6))) )],[refute_0_14263,refute_0_14264]) ).
cnf(refute_0_14266,plain,
and(not(X),and(t4,t6)) = not(or(xor(t4,t6),X)),
inference(resolve,[$cnf( $equal(and(t4,and(not(X),t6)),not(or(xor(t4,t6),X))) )],[refute_0_14262,refute_0_14265]) ).
cnf(refute_0_14267,plain,
( and(not(X),and(t4,t6)) != not(or(xor(t4,t6),X))
| not(or(X,xor(t4,t6))) != and(not(X),and(t4,t6))
| not(or(X,xor(t4,t6))) = not(or(xor(t4,t6),X)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t4,t6))),and(not(X),and(t4,t6))) ),[1],$fot(not(or(xor(t4,t6),X)))]]) ).
cnf(refute_0_14268,plain,
( not(or(X,xor(t4,t6))) != and(not(X),and(t4,t6))
| not(or(X,xor(t4,t6))) = not(or(xor(t4,t6),X)) ),
inference(resolve,[$cnf( $equal(and(not(X),and(t4,t6)),not(or(xor(t4,t6),X))) )],[refute_0_14266,refute_0_14267]) ).
cnf(refute_0_14269,plain,
not(or(X,xor(t4,t6))) = not(or(xor(t4,t6),X)),
inference(resolve,[$cnf( $equal(not(or(X,xor(t4,t6))),and(not(X),and(t4,t6))) )],[refute_0_14247,refute_0_14268]) ).
cnf(refute_0_14270,plain,
or(X,xor(t4,t6)) = or(X,xor(t4,t6)),
introduced(tautology,[refl,[$fot(or(X,xor(t4,t6)))]]) ).
cnf(refute_0_14271,plain,
( or(X,xor(t4,t6)) != or(X,xor(t4,t6))
| xor(t4,t6) != t5
| or(X,xor(t4,t6)) = or(X,t5) ),
introduced(tautology,[equality,[$cnf( $equal(or(X,xor(t4,t6)),or(X,xor(t4,t6))) ),[1,1],$fot(t5)]]) ).
cnf(refute_0_14272,plain,
( xor(t4,t6) != t5
| or(X,xor(t4,t6)) = or(X,t5) ),
inference(resolve,[$cnf( $equal(or(X,xor(t4,t6)),or(X,xor(t4,t6))) )],[refute_0_14270,refute_0_14271]) ).
cnf(refute_0_14273,plain,
or(X,xor(t4,t6)) = or(X,t5),
inference(resolve,[$cnf( $equal(xor(t4,t6),t5) )],[refute_0_13037,refute_0_14272]) ).
cnf(refute_0_14274,plain,
not(or(X,xor(t4,t6))) = not(or(X,xor(t4,t6))),
introduced(tautology,[refl,[$fot(not(or(X,xor(t4,t6))))]]) ).
cnf(refute_0_14275,plain,
( not(or(X,xor(t4,t6))) != not(or(X,xor(t4,t6)))
| or(X,xor(t4,t6)) != or(X,t5)
| not(or(X,xor(t4,t6))) = not(or(X,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t4,t6))),not(or(X,xor(t4,t6)))) ),[1,0],$fot(or(X,t5))]]) ).
cnf(refute_0_14276,plain,
( or(X,xor(t4,t6)) != or(X,t5)
| not(or(X,xor(t4,t6))) = not(or(X,t5)) ),
inference(resolve,[$cnf( $equal(not(or(X,xor(t4,t6))),not(or(X,xor(t4,t6)))) )],[refute_0_14274,refute_0_14275]) ).
cnf(refute_0_14277,plain,
not(or(X,xor(t4,t6))) = not(or(X,t5)),
inference(resolve,[$cnf( $equal(or(X,xor(t4,t6)),or(X,t5)) )],[refute_0_14273,refute_0_14276]) ).
cnf(refute_0_14278,plain,
( not(or(X,xor(t4,t6))) != not(or(X,t5))
| not(or(X,xor(t4,t6))) != not(or(xor(t4,t6),X))
| not(or(X,t5)) = not(or(xor(t4,t6),X)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t4,t6))),not(or(xor(t4,t6),X))) ),[0],$fot(not(or(X,t5)))]]) ).
cnf(refute_0_14279,plain,
( not(or(X,xor(t4,t6))) != not(or(xor(t4,t6),X))
| not(or(X,t5)) = not(or(xor(t4,t6),X)) ),
inference(resolve,[$cnf( $equal(not(or(X,xor(t4,t6))),not(or(X,t5))) )],[refute_0_14277,refute_0_14278]) ).
cnf(refute_0_14280,plain,
or(xor(t4,t6),X) = or(xor(t4,t6),X),
introduced(tautology,[refl,[$fot(or(xor(t4,t6),X))]]) ).
cnf(refute_0_14281,plain,
( or(xor(t4,t6),X) != or(xor(t4,t6),X)
| xor(t4,t6) != t5
| or(xor(t4,t6),X) = or(t5,X) ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(t4,t6),X),or(xor(t4,t6),X)) ),[1,0],$fot(t5)]]) ).
cnf(refute_0_14282,plain,
( xor(t4,t6) != t5
| or(xor(t4,t6),X) = or(t5,X) ),
inference(resolve,[$cnf( $equal(or(xor(t4,t6),X),or(xor(t4,t6),X)) )],[refute_0_14280,refute_0_14281]) ).
cnf(refute_0_14283,plain,
or(xor(t4,t6),X) = or(t5,X),
inference(resolve,[$cnf( $equal(xor(t4,t6),t5) )],[refute_0_13037,refute_0_14282]) ).
cnf(refute_0_14284,plain,
not(or(xor(t4,t6),X)) = not(or(xor(t4,t6),X)),
introduced(tautology,[refl,[$fot(not(or(xor(t4,t6),X)))]]) ).
cnf(refute_0_14285,plain,
( not(or(xor(t4,t6),X)) != not(or(xor(t4,t6),X))
| or(xor(t4,t6),X) != or(t5,X)
| not(or(xor(t4,t6),X)) = not(or(t5,X)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(t4,t6),X)),not(or(xor(t4,t6),X))) ),[1,0],$fot(or(t5,X))]]) ).
cnf(refute_0_14286,plain,
( or(xor(t4,t6),X) != or(t5,X)
| not(or(xor(t4,t6),X)) = not(or(t5,X)) ),
inference(resolve,[$cnf( $equal(not(or(xor(t4,t6),X)),not(or(xor(t4,t6),X))) )],[refute_0_14284,refute_0_14285]) ).
cnf(refute_0_14287,plain,
not(or(xor(t4,t6),X)) = not(or(t5,X)),
inference(resolve,[$cnf( $equal(or(xor(t4,t6),X),or(t5,X)) )],[refute_0_14283,refute_0_14286]) ).
cnf(refute_0_14288,plain,
( not(or(X,t5)) != not(or(xor(t4,t6),X))
| not(or(xor(t4,t6),X)) != not(or(t5,X))
| not(or(X,t5)) = not(or(t5,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(or(X,t5)),not(or(t5,X))) ),[0],$fot(not(or(xor(t4,t6),X)))]]) ).
cnf(refute_0_14289,plain,
( not(or(X,t5)) != not(or(xor(t4,t6),X))
| not(or(X,t5)) = not(or(t5,X)) ),
inference(resolve,[$cnf( $equal(not(or(xor(t4,t6),X)),not(or(t5,X))) )],[refute_0_14287,refute_0_14288]) ).
cnf(refute_0_14290,plain,
( not(or(X,xor(t4,t6))) != not(or(xor(t4,t6),X))
| not(or(X,t5)) = not(or(t5,X)) ),
inference(resolve,[$cnf( $equal(not(or(X,t5)),not(or(xor(t4,t6),X))) )],[refute_0_14279,refute_0_14289]) ).
cnf(refute_0_14291,plain,
not(or(X,t5)) = not(or(t5,X)),
inference(resolve,[$cnf( $equal(not(or(X,xor(t4,t6))),not(or(xor(t4,t6),X))) )],[refute_0_14269,refute_0_14290]) ).
cnf(refute_0_14292,plain,
( not(or(X,t5)) != not(or(t5,X))
| not(or(t5,X)) = not(or(X,t5)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X,t5)))),bind(Y0,$fot(not(or(t5,X))))]]) ).
cnf(refute_0_14293,plain,
not(or(t5,X)) = not(or(X,t5)),
inference(resolve,[$cnf( $equal(not(or(X,t5)),not(or(t5,X))) )],[refute_0_14291,refute_0_14292]) ).
cnf(refute_0_14294,plain,
not(or(t5,b)) = not(or(b,t5)),
inference(subst,[],[refute_0_14293:[bind(X,$fot(b))]]) ).
cnf(refute_0_14295,plain,
and(not(t5),not(b)) = not(or(t5,b)),
inference(subst,[],[refute_0_101:[bind(X,$fot(t5)),bind(Y,$fot(b))]]) ).
cnf(refute_0_14296,plain,
( and(not(t5),not(b)) != not(or(t5,b))
| not(or(t5,b)) != not(or(b,t5))
| and(not(t5),not(b)) = not(or(b,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t5),not(b)))),bind(Y0,$fot(not(or(t5,b)))),bind(Z0,$fot(not(or(b,t5))))]]) ).
cnf(refute_0_14297,plain,
( not(or(t5,b)) != not(or(b,t5))
| and(not(t5),not(b)) = not(or(b,t5)) ),
inference(resolve,[$cnf( $equal(and(not(t5),not(b)),not(or(t5,b))) )],[refute_0_14295,refute_0_14296]) ).
cnf(refute_0_14298,plain,
and(not(t5),not(b)) = not(or(b,t5)),
inference(resolve,[$cnf( $equal(not(or(t5,b)),not(or(b,t5))) )],[refute_0_14294,refute_0_14297]) ).
cnf(refute_0_14299,plain,
( and(not(t5),not(b)) != and(carry,not(b))
| and(not(t5),not(b)) != not(or(b,t5))
| not(or(b,t5)) = and(carry,not(b)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),not(b)),and(carry,not(b))) ),[0],$fot(not(or(b,t5)))]]) ).
cnf(refute_0_14300,plain,
( and(not(t5),not(b)) != and(carry,not(b))
| not(or(b,t5)) = and(carry,not(b)) ),
inference(resolve,[$cnf( $equal(and(not(t5),not(b)),not(or(b,t5))) )],[refute_0_14298,refute_0_14299]) ).
cnf(refute_0_14301,plain,
not(or(b,t5)) = and(carry,not(b)),
inference(resolve,[$cnf( $equal(and(not(t5),not(b)),and(carry,not(b))) )],[refute_0_14243,refute_0_14300]) ).
cnf(refute_0_14302,plain,
( not(or(b,t5)) != and(carry,not(b))
| and(carry,not(b)) = not(or(b,t5)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(b,t5)))),bind(Y0,$fot(and(carry,not(b))))]]) ).
cnf(refute_0_14303,plain,
and(carry,not(b)) = not(or(b,t5)),
inference(resolve,[$cnf( $equal(not(or(b,t5)),and(carry,not(b))) )],[refute_0_14301,refute_0_14302]) ).
cnf(refute_0_14304,plain,
( and(carry,not(b)) != not(or(b,t5))
| not(or(t2,t5)) != and(carry,not(b))
| not(or(t2,t5)) = not(or(b,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t2,t5)),and(carry,not(b))) ),[1],$fot(not(or(b,t5)))]]) ).
cnf(refute_0_14305,plain,
( not(or(t2,t5)) != and(carry,not(b))
| not(or(t2,t5)) = not(or(b,t5)) ),
inference(resolve,[$cnf( $equal(and(carry,not(b)),not(or(b,t5))) )],[refute_0_14303,refute_0_14304]) ).
cnf(refute_0_14306,plain,
( and(not(t5),t3) != and(carry,not(b))
| not(or(t2,t5)) = not(or(b,t5)) ),
inference(resolve,[$cnf( $equal(not(or(t2,t5)),and(carry,not(b))) )],[refute_0_14239,refute_0_14305]) ).
cnf(refute_0_14307,plain,
not(or(t2,t5)) = not(or(b,t5)),
inference(resolve,[$cnf( $equal(and(not(t5),t3),and(carry,not(b))) )],[refute_0_14148,refute_0_14306]) ).
cnf(refute_0_14308,plain,
( not(or(t2,t5)) != and(a,not(t5))
| not(or(t2,t5)) != not(or(b,t5))
| not(or(b,t5)) = and(a,not(t5)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t2,t5)),and(a,not(t5))) ),[0],$fot(not(or(b,t5)))]]) ).
cnf(refute_0_14309,plain,
( not(or(t2,t5)) != and(a,not(t5))
| not(or(b,t5)) = and(a,not(t5)) ),
inference(resolve,[$cnf( $equal(not(or(t2,t5)),not(or(b,t5))) )],[refute_0_14307,refute_0_14308]) ).
cnf(refute_0_14310,plain,
not(or(b,t5)) = and(a,not(t5)),
inference(resolve,[$cnf( $equal(not(or(t2,t5)),and(a,not(t5))) )],[refute_0_14144,refute_0_14309]) ).
cnf(refute_0_14311,plain,
( not(or(b,t5)) != and(a,not(t5))
| and(a,not(t5)) = not(or(b,t5)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(b,t5)))),bind(Y0,$fot(and(a,not(t5))))]]) ).
cnf(refute_0_14312,plain,
and(a,not(t5)) = not(or(b,t5)),
inference(resolve,[$cnf( $equal(not(or(b,t5)),and(a,not(t5))) )],[refute_0_14310,refute_0_14311]) ).
cnf(refute_0_14313,plain,
( and(a,not(t5)) != not(or(b,t5))
| not(and(not(t5),a)) != not(and(a,not(t5)))
| not(and(not(t5),a)) = not(not(or(b,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t5),a)),not(and(a,not(t5)))) ),[1,0],$fot(not(or(b,t5)))]]) ).
cnf(refute_0_14314,plain,
( not(and(not(t5),a)) != not(and(a,not(t5)))
| not(and(not(t5),a)) = not(not(or(b,t5))) ),
inference(resolve,[$cnf( $equal(and(a,not(t5)),not(or(b,t5))) )],[refute_0_14312,refute_0_14313]) ).
cnf(refute_0_14315,plain,
not(and(not(t5),a)) = not(not(or(b,t5))),
inference(resolve,[$cnf( $equal(not(and(not(t5),a)),not(and(a,not(t5)))) )],[refute_0_14136,refute_0_14314]) ).
cnf(refute_0_14316,plain,
( not(or(t2,t5)) != and(a,not(t5))
| and(a,not(t5)) = not(or(t2,t5)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(t2,t5)))),bind(Y0,$fot(and(a,not(t5))))]]) ).
cnf(refute_0_14317,plain,
and(a,not(t5)) = not(or(t2,t5)),
inference(resolve,[$cnf( $equal(not(or(t2,t5)),and(a,not(t5))) )],[refute_0_14144,refute_0_14316]) ).
cnf(refute_0_14318,plain,
( and(a,not(t5)) != not(or(t2,t5))
| not(and(not(t5),a)) != not(and(a,not(t5)))
| not(and(not(t5),a)) = not(not(or(t2,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t5),a)),not(and(a,not(t5)))) ),[1,0],$fot(not(or(t2,t5)))]]) ).
cnf(refute_0_14319,plain,
( not(and(not(t5),a)) != not(and(a,not(t5)))
| not(and(not(t5),a)) = not(not(or(t2,t5))) ),
inference(resolve,[$cnf( $equal(and(a,not(t5)),not(or(t2,t5))) )],[refute_0_14317,refute_0_14318]) ).
cnf(refute_0_14320,plain,
not(and(not(t5),a)) = not(not(or(t2,t5))),
inference(resolve,[$cnf( $equal(not(and(not(t5),a)),not(and(a,not(t5)))) )],[refute_0_14136,refute_0_14319]) ).
cnf(refute_0_14321,plain,
not(and(not(t5),a)) = or(t5,not(a)),
inference(subst,[],[refute_0_787:[bind(X,$fot(t5)),bind(X_32,$fot(a))]]) ).
cnf(refute_0_14322,plain,
( not(and(not(t5),a)) != not(not(or(t2,t5)))
| not(and(not(t5),a)) != or(t5,not(a))
| or(t5,not(a)) = not(not(or(t2,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t5),a)),not(not(or(t2,t5)))) ),[0],$fot(or(t5,not(a)))]]) ).
cnf(refute_0_14323,plain,
( not(and(not(t5),a)) != not(not(or(t2,t5)))
| or(t5,not(a)) = not(not(or(t2,t5))) ),
inference(resolve,[$cnf( $equal(not(and(not(t5),a)),or(t5,not(a))) )],[refute_0_14321,refute_0_14322]) ).
cnf(refute_0_14324,plain,
( not(not(or(t2,t5))) != or(t2,t5)
| or(t5,not(a)) != not(not(or(t2,t5)))
| or(t5,not(a)) = or(t2,t5) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,not(a)),not(not(or(t2,t5)))) ),[1],$fot(or(t2,t5))]]) ).
cnf(refute_0_14325,plain,
( or(t5,not(a)) != not(not(or(t2,t5)))
| or(t5,not(a)) = or(t2,t5) ),
inference(resolve,[$cnf( $equal(not(not(or(t2,t5))),or(t2,t5)) )],[refute_0_14113,refute_0_14324]) ).
cnf(refute_0_14326,plain,
( not(and(not(t5),a)) != not(not(or(t2,t5)))
| or(t5,not(a)) = or(t2,t5) ),
inference(resolve,[$cnf( $equal(or(t5,not(a)),not(not(or(t2,t5)))) )],[refute_0_14323,refute_0_14325]) ).
cnf(refute_0_14327,plain,
or(t5,not(a)) = or(t2,t5),
inference(resolve,[$cnf( $equal(not(and(not(t5),a)),not(not(or(t2,t5)))) )],[refute_0_14320,refute_0_14326]) ).
cnf(refute_0_14328,plain,
( not(and(not(t5),a)) != or(t5,not(a))
| or(t5,not(a)) != or(t2,t5)
| not(and(not(t5),a)) = or(t2,t5) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(not(t5),a)))),bind(Y0,$fot(or(t5,not(a)))),bind(Z0,$fot(or(t2,t5)))]]) ).
cnf(refute_0_14329,plain,
( or(t5,not(a)) != or(t2,t5)
| not(and(not(t5),a)) = or(t2,t5) ),
inference(resolve,[$cnf( $equal(not(and(not(t5),a)),or(t5,not(a))) )],[refute_0_14321,refute_0_14328]) ).
cnf(refute_0_14330,plain,
not(and(not(t5),a)) = or(t2,t5),
inference(resolve,[$cnf( $equal(or(t5,not(a)),or(t2,t5)) )],[refute_0_14327,refute_0_14329]) ).
cnf(refute_0_14331,plain,
( not(and(not(t5),a)) != not(not(or(b,t5)))
| not(and(not(t5),a)) != or(t2,t5)
| or(t2,t5) = not(not(or(b,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t5),a)),not(not(or(b,t5)))) ),[0],$fot(or(t2,t5))]]) ).
cnf(refute_0_14332,plain,
( not(and(not(t5),a)) != not(not(or(b,t5)))
| or(t2,t5) = not(not(or(b,t5))) ),
inference(resolve,[$cnf( $equal(not(and(not(t5),a)),or(t2,t5)) )],[refute_0_14330,refute_0_14331]) ).
cnf(refute_0_14333,plain,
not(not(or(b,t5))) = or(b,t5),
inference(subst,[],[not_involution:[bind(X,$fot(or(b,t5)))]]) ).
cnf(refute_0_14334,plain,
( not(not(or(b,t5))) != or(b,t5)
| or(t2,t5) != not(not(or(b,t5)))
| or(t2,t5) = or(b,t5) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,t5),not(not(or(b,t5)))) ),[1],$fot(or(b,t5))]]) ).
cnf(refute_0_14335,plain,
( or(t2,t5) != not(not(or(b,t5)))
| or(t2,t5) = or(b,t5) ),
inference(resolve,[$cnf( $equal(not(not(or(b,t5))),or(b,t5)) )],[refute_0_14333,refute_0_14334]) ).
cnf(refute_0_14336,plain,
( not(and(not(t5),a)) != not(not(or(b,t5)))
| or(t2,t5) = or(b,t5) ),
inference(resolve,[$cnf( $equal(or(t2,t5),not(not(or(b,t5)))) )],[refute_0_14332,refute_0_14335]) ).
cnf(refute_0_14337,plain,
or(t2,t5) = or(b,t5),
inference(resolve,[$cnf( $equal(not(and(not(t5),a)),not(not(or(b,t5)))) )],[refute_0_14315,refute_0_14336]) ).
cnf(refute_0_14338,plain,
and(t6,or(t2,t5)) = and(t6,or(t2,t5)),
introduced(tautology,[refl,[$fot(and(t6,or(t2,t5)))]]) ).
cnf(refute_0_14339,plain,
( and(t6,or(t2,t5)) != and(t6,or(t2,t5))
| or(t2,t5) != or(b,t5)
| and(t6,or(t2,t5)) = and(t6,or(b,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(t2,t5)),and(t6,or(t2,t5))) ),[1,1],$fot(or(b,t5))]]) ).
cnf(refute_0_14340,plain,
( or(t2,t5) != or(b,t5)
| and(t6,or(t2,t5)) = and(t6,or(b,t5)) ),
inference(resolve,[$cnf( $equal(and(t6,or(t2,t5)),and(t6,or(t2,t5))) )],[refute_0_14338,refute_0_14339]) ).
cnf(refute_0_14341,plain,
and(t6,or(t2,t5)) = and(t6,or(b,t5)),
inference(resolve,[$cnf( $equal(or(t2,t5),or(b,t5)) )],[refute_0_14337,refute_0_14340]) ).
cnf(refute_0_14342,plain,
( and(t6,or(t2,t5)) != and(t6,or(b,t5))
| and(t6,or(t2,t5)) != not(xor(t6,or(t2,t5)))
| and(t6,or(b,t5)) = not(xor(t6,or(t2,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(t2,t5)),not(xor(t6,or(t2,t5)))) ),[0],$fot(and(t6,or(b,t5)))]]) ).
cnf(refute_0_14343,plain,
( and(t6,or(t2,t5)) != not(xor(t6,or(t2,t5)))
| and(t6,or(b,t5)) = not(xor(t6,or(t2,t5))) ),
inference(resolve,[$cnf( $equal(and(t6,or(t2,t5)),and(t6,or(b,t5))) )],[refute_0_14341,refute_0_14342]) ).
cnf(refute_0_14344,plain,
xor(t6,or(t2,t5)) = xor(t6,or(t2,t5)),
introduced(tautology,[refl,[$fot(xor(t6,or(t2,t5)))]]) ).
cnf(refute_0_14345,plain,
( or(t2,t5) != or(b,t5)
| xor(t6,or(t2,t5)) != xor(t6,or(t2,t5))
| xor(t6,or(t2,t5)) = xor(t6,or(b,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,or(t2,t5)),xor(t6,or(t2,t5))) ),[1,1],$fot(or(b,t5))]]) ).
cnf(refute_0_14346,plain,
( or(t2,t5) != or(b,t5)
| xor(t6,or(t2,t5)) = xor(t6,or(b,t5)) ),
inference(resolve,[$cnf( $equal(xor(t6,or(t2,t5)),xor(t6,or(t2,t5))) )],[refute_0_14344,refute_0_14345]) ).
cnf(refute_0_14347,plain,
xor(t6,or(t2,t5)) = xor(t6,or(b,t5)),
inference(resolve,[$cnf( $equal(or(t2,t5),or(b,t5)) )],[refute_0_14337,refute_0_14346]) ).
cnf(refute_0_14348,plain,
not(xor(t6,or(t2,t5))) = not(xor(t6,or(t2,t5))),
introduced(tautology,[refl,[$fot(not(xor(t6,or(t2,t5))))]]) ).
cnf(refute_0_14349,plain,
( not(xor(t6,or(t2,t5))) != not(xor(t6,or(t2,t5)))
| xor(t6,or(t2,t5)) != xor(t6,or(b,t5))
| not(xor(t6,or(t2,t5))) = not(xor(t6,or(b,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t6,or(t2,t5))),not(xor(t6,or(t2,t5)))) ),[1,0],$fot(xor(t6,or(b,t5)))]]) ).
cnf(refute_0_14350,plain,
( xor(t6,or(t2,t5)) != xor(t6,or(b,t5))
| not(xor(t6,or(t2,t5))) = not(xor(t6,or(b,t5))) ),
inference(resolve,[$cnf( $equal(not(xor(t6,or(t2,t5))),not(xor(t6,or(t2,t5)))) )],[refute_0_14348,refute_0_14349]) ).
cnf(refute_0_14351,plain,
not(xor(t6,or(t2,t5))) = not(xor(t6,or(b,t5))),
inference(resolve,[$cnf( $equal(xor(t6,or(t2,t5)),xor(t6,or(b,t5))) )],[refute_0_14347,refute_0_14350]) ).
cnf(refute_0_14352,plain,
( and(t6,or(b,t5)) != not(xor(t6,or(t2,t5)))
| not(xor(t6,or(t2,t5))) != not(xor(t6,or(b,t5)))
| and(t6,or(b,t5)) = not(xor(t6,or(b,t5))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,or(b,t5)),not(xor(t6,or(b,t5)))) ),[0],$fot(not(xor(t6,or(t2,t5))))]]) ).
cnf(refute_0_14353,plain,
( and(t6,or(b,t5)) != not(xor(t6,or(t2,t5)))
| and(t6,or(b,t5)) = not(xor(t6,or(b,t5))) ),
inference(resolve,[$cnf( $equal(not(xor(t6,or(t2,t5))),not(xor(t6,or(b,t5)))) )],[refute_0_14351,refute_0_14352]) ).
cnf(refute_0_14354,plain,
( and(t6,or(t2,t5)) != not(xor(t6,or(t2,t5)))
| and(t6,or(b,t5)) = not(xor(t6,or(b,t5))) ),
inference(resolve,[$cnf( $equal(and(t6,or(b,t5)),not(xor(t6,or(t2,t5)))) )],[refute_0_14343,refute_0_14353]) ).
cnf(refute_0_14355,plain,
and(t6,or(b,t5)) = not(xor(t6,or(b,t5))),
inference(resolve,[$cnf( $equal(and(t6,or(t2,t5)),not(xor(t6,or(t2,t5)))) )],[refute_0_14135,refute_0_14354]) ).
cnf(refute_0_14356,plain,
( and(t6,or(b,t5)) != not(xor(t6,or(b,t5)))
| not(xor(t6,or(b,t5))) = and(t6,or(b,t5)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t6,or(b,t5)))),bind(Y0,$fot(not(xor(t6,or(b,t5)))))]]) ).
cnf(refute_0_14357,plain,
not(xor(t6,or(b,t5))) = and(t6,or(b,t5)),
inference(resolve,[$cnf( $equal(and(t6,or(b,t5)),not(xor(t6,or(b,t5)))) )],[refute_0_14355,refute_0_14356]) ).
cnf(refute_0_14358,plain,
( not(xor(t6,or(b,t5))) != and(t6,or(b,t5))
| or(t1,or(not(xor(t6,or(b,t5))),and(a,xor(t6,or(b,t5))))) != ll1
| or(t1,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5))))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,or(not(xor(t6,or(b,t5))),and(a,xor(t6,or(b,t5))))),ll1) ),[0,1,0],$fot(and(t6,or(b,t5)))]]) ).
cnf(refute_0_14359,plain,
( or(t1,or(not(xor(t6,or(b,t5))),and(a,xor(t6,or(b,t5))))) != ll1
| or(t1,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5))))) = ll1 ),
inference(resolve,[$cnf( $equal(not(xor(t6,or(b,t5))),and(t6,or(b,t5))) )],[refute_0_14357,refute_0_14358]) ).
cnf(refute_0_14360,plain,
or(t1,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5))))) = ll1,
inference(resolve,[$cnf( $equal(or(t1,or(not(xor(t6,or(b,t5))),and(a,xor(t6,or(b,t5))))),ll1) )],[refute_0_14101,refute_0_14359]) ).
cnf(refute_0_14361,plain,
( or(t1,and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))))) != and(or(t1,X_819),or(t1,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5))))))
| or(t1,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5))))) != ll1
| or(t1,and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))))) = and(or(t1,X_819),ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))))),and(or(t1,X_819),or(t1,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5))))))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_14362,plain,
( or(t1,and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))))) != and(or(t1,X_819),or(t1,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5))))))
| or(t1,and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))))) = and(or(t1,X_819),ll1) ),
inference(resolve,[$cnf( $equal(or(t1,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5))))),ll1) )],[refute_0_14360,refute_0_14361]) ).
cnf(refute_0_14363,plain,
or(t1,and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))))) = and(or(t1,X_819),ll1),
inference(resolve,[$cnf( $equal(or(t1,and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))))),and(or(t1,X_819),or(t1,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5))))))) )],[refute_0_14067,refute_0_14362]) ).
cnf(refute_0_14364,plain,
or(a,and(X_819,or(b,t5))) = and(or(a,X_819),or(a,or(b,t5))),
inference(subst,[],[and_distributive:[bind(X,$fot(a)),bind(Y,$fot(X_819)),bind(Z,$fot(or(b,t5)))]]) ).
cnf(refute_0_14365,plain,
or(or(t3,xor(t1,t3)),Z) = or(t3,or(xor(t1,t3),Z)),
inference(subst,[],[or_associative:[bind(X,$fot(t3)),bind(Y,$fot(xor(t1,t3)))]]) ).
cnf(refute_0_14366,plain,
and(a,X_162) = and(X_162,a),
inference(subst,[],[and_commutative:[bind(X,$fot(a)),bind(Y,$fot(X_162))]]) ).
cnf(refute_0_14367,plain,
( and(a,X_162) != and(X_162,a)
| and(X_162,a) = and(a,X_162) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(a,X_162))),bind(Y0,$fot(and(X_162,a)))]]) ).
cnf(refute_0_14368,plain,
and(X_162,a) = and(a,X_162),
inference(resolve,[$cnf( $equal(and(a,X_162),and(X_162,a)) )],[refute_0_14366,refute_0_14367]) ).
cnf(refute_0_14369,plain,
( and(X_162,a) != and(a,X_162)
| ll1 != or(t3,not(xor(t3,and(X_162,a))))
| ll1 = or(t3,not(xor(t3,and(a,X_162)))) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t3,not(xor(t3,and(X_162,a))))) ),[1,1,0,1],$fot(and(a,X_162))]]) ).
cnf(refute_0_14370,plain,
( ll1 != or(t3,not(xor(t3,and(X_162,a))))
| ll1 = or(t3,not(xor(t3,and(a,X_162)))) ),
inference(resolve,[$cnf( $equal(and(X_162,a),and(a,X_162)) )],[refute_0_14368,refute_0_14369]) ).
cnf(refute_0_14371,plain,
ll1 = or(t3,not(xor(t3,and(a,X_162)))),
inference(resolve,[$cnf( $equal(ll1,or(t3,not(xor(t3,and(X_162,a))))) )],[refute_0_6844,refute_0_14370]) ).
cnf(refute_0_14372,plain,
ll1 = or(t3,not(xor(t3,and(a,b)))),
inference(subst,[],[refute_0_14371:[bind(X_162,$fot(b))]]) ).
cnf(refute_0_14373,plain,
( and(a,b) != not(t1)
| ll1 != or(t3,not(xor(t3,and(a,b))))
| ll1 = or(t3,not(xor(t3,not(t1)))) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t3,not(xor(t3,and(a,b))))) ),[1,1,0,1],$fot(not(t1))]]) ).
cnf(refute_0_14374,plain,
( ll1 != or(t3,not(xor(t3,and(a,b))))
| ll1 = or(t3,not(xor(t3,not(t1)))) ),
inference(resolve,[$cnf( $equal(and(a,b),not(t1)) )],[refute_0_318,refute_0_14373]) ).
cnf(refute_0_14375,plain,
ll1 = or(t3,not(xor(t3,not(t1)))),
inference(resolve,[$cnf( $equal(ll1,or(t3,not(xor(t3,and(a,b))))) )],[refute_0_14372,refute_0_14374]) ).
cnf(refute_0_14376,plain,
and(t3,not(and(a,b))) = xor(t3,and(a,b)),
inference(subst,[],[refute_0_1693:[bind(X_42,$fot(b))]]) ).
cnf(refute_0_14377,plain,
( and(a,b) != not(t1)
| and(t3,not(and(a,b))) != xor(t3,and(a,b))
| and(t3,not(not(t1))) = xor(t3,and(a,b)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,not(and(a,b))),xor(t3,and(a,b))) ),[0,1,0],$fot(not(t1))]]) ).
cnf(refute_0_14378,plain,
( and(t3,not(and(a,b))) != xor(t3,and(a,b))
| and(t3,not(not(t1))) = xor(t3,and(a,b)) ),
inference(resolve,[$cnf( $equal(and(a,b),not(t1)) )],[refute_0_318,refute_0_14377]) ).
cnf(refute_0_14379,plain,
and(t3,not(not(t1))) = xor(t3,and(a,b)),
inference(resolve,[$cnf( $equal(and(t3,not(and(a,b))),xor(t3,and(a,b))) )],[refute_0_14376,refute_0_14378]) ).
cnf(refute_0_14380,plain,
and(t3,not(not(t1))) = and(t3,not(not(t1))),
introduced(tautology,[refl,[$fot(and(t3,not(not(t1))))]]) ).
cnf(refute_0_14381,plain,
( and(t3,not(not(t1))) != and(t3,not(not(t1)))
| not(not(t1)) != t1
| and(t3,not(not(t1))) = and(t3,t1) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,not(not(t1))),and(t3,not(not(t1)))) ),[1,1],$fot(t1)]]) ).
cnf(refute_0_14382,plain,
( not(not(t1)) != t1
| and(t3,not(not(t1))) = and(t3,t1) ),
inference(resolve,[$cnf( $equal(and(t3,not(not(t1))),and(t3,not(not(t1)))) )],[refute_0_14380,refute_0_14381]) ).
cnf(refute_0_14383,plain,
and(t3,not(not(t1))) = and(t3,t1),
inference(resolve,[$cnf( $equal(not(not(t1)),t1) )],[refute_0_3279,refute_0_14382]) ).
cnf(refute_0_14384,plain,
( and(t3,not(not(t1))) != and(t3,t1)
| and(t3,t1) != and(t1,t3)
| and(t3,not(not(t1))) = and(t1,t3) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t3,not(not(t1))))),bind(Y0,$fot(and(t3,t1))),bind(Z0,$fot(and(t1,t3)))]]) ).
cnf(refute_0_14385,plain,
( and(t3,t1) != and(t1,t3)
| and(t3,not(not(t1))) = and(t1,t3) ),
inference(resolve,[$cnf( $equal(and(t3,not(not(t1))),and(t3,t1)) )],[refute_0_14383,refute_0_14384]) ).
cnf(refute_0_14386,plain,
and(t3,not(not(t1))) = and(t1,t3),
inference(resolve,[$cnf( $equal(and(t3,t1),and(t1,t3)) )],[refute_0_13357,refute_0_14385]) ).
cnf(refute_0_14387,plain,
( and(t3,not(not(t1))) != and(t1,t3)
| and(t3,not(not(t1))) != xor(t3,and(a,b))
| and(t1,t3) = xor(t3,and(a,b)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,not(not(t1))),xor(t3,and(a,b))) ),[0],$fot(and(t1,t3))]]) ).
cnf(refute_0_14388,plain,
( and(t3,not(not(t1))) != xor(t3,and(a,b))
| and(t1,t3) = xor(t3,and(a,b)) ),
inference(resolve,[$cnf( $equal(and(t3,not(not(t1))),and(t1,t3)) )],[refute_0_14386,refute_0_14387]) ).
cnf(refute_0_14389,plain,
xor(t3,and(a,b)) = xor(t3,and(a,b)),
introduced(tautology,[refl,[$fot(xor(t3,and(a,b)))]]) ).
cnf(refute_0_14390,plain,
( and(a,b) != not(t1)
| xor(t3,and(a,b)) != xor(t3,and(a,b))
| xor(t3,and(a,b)) = xor(t3,not(t1)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,and(a,b)),xor(t3,and(a,b))) ),[1,1],$fot(not(t1))]]) ).
cnf(refute_0_14391,plain,
( and(a,b) != not(t1)
| xor(t3,and(a,b)) = xor(t3,not(t1)) ),
inference(resolve,[$cnf( $equal(xor(t3,and(a,b)),xor(t3,and(a,b))) )],[refute_0_14389,refute_0_14390]) ).
cnf(refute_0_14392,plain,
xor(t3,and(a,b)) = xor(t3,not(t1)),
inference(resolve,[$cnf( $equal(and(a,b),not(t1)) )],[refute_0_318,refute_0_14391]) ).
cnf(refute_0_14393,plain,
( and(t1,t3) != xor(t3,and(a,b))
| xor(t3,and(a,b)) != xor(t3,not(t1))
| and(t1,t3) = xor(t3,not(t1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t1,t3),xor(t3,not(t1))) ),[0],$fot(xor(t3,and(a,b)))]]) ).
cnf(refute_0_14394,plain,
( and(t1,t3) != xor(t3,and(a,b))
| and(t1,t3) = xor(t3,not(t1)) ),
inference(resolve,[$cnf( $equal(xor(t3,and(a,b)),xor(t3,not(t1))) )],[refute_0_14392,refute_0_14393]) ).
cnf(refute_0_14395,plain,
( and(t3,not(not(t1))) != xor(t3,and(a,b))
| and(t1,t3) = xor(t3,not(t1)) ),
inference(resolve,[$cnf( $equal(and(t1,t3),xor(t3,and(a,b))) )],[refute_0_14388,refute_0_14394]) ).
cnf(refute_0_14396,plain,
and(t1,t3) = xor(t3,not(t1)),
inference(resolve,[$cnf( $equal(and(t3,not(not(t1))),xor(t3,and(a,b))) )],[refute_0_14379,refute_0_14395]) ).
cnf(refute_0_14397,plain,
( and(t1,t3) != xor(t3,not(t1))
| xor(t3,not(t1)) = and(t1,t3) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t1,t3))),bind(Y0,$fot(xor(t3,not(t1))))]]) ).
cnf(refute_0_14398,plain,
xor(t3,not(t1)) = and(t1,t3),
inference(resolve,[$cnf( $equal(and(t1,t3),xor(t3,not(t1))) )],[refute_0_14396,refute_0_14397]) ).
cnf(refute_0_14399,plain,
not(xor(t3,not(t1))) = not(xor(t3,not(t1))),
introduced(tautology,[refl,[$fot(not(xor(t3,not(t1))))]]) ).
cnf(refute_0_14400,plain,
( not(xor(t3,not(t1))) != not(xor(t3,not(t1)))
| xor(t3,not(t1)) != and(t1,t3)
| not(xor(t3,not(t1))) = not(and(t1,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t3,not(t1))),not(xor(t3,not(t1)))) ),[1,0],$fot(and(t1,t3))]]) ).
cnf(refute_0_14401,plain,
( xor(t3,not(t1)) != and(t1,t3)
| not(xor(t3,not(t1))) = not(and(t1,t3)) ),
inference(resolve,[$cnf( $equal(not(xor(t3,not(t1))),not(xor(t3,not(t1)))) )],[refute_0_14399,refute_0_14400]) ).
cnf(refute_0_14402,plain,
not(xor(t3,not(t1))) = not(and(t1,t3)),
inference(resolve,[$cnf( $equal(xor(t3,not(t1)),and(t1,t3)) )],[refute_0_14398,refute_0_14401]) ).
cnf(refute_0_14403,plain,
( not(and(t1,t3)) != xor(t1,t3)
| not(xor(t3,not(t1))) != not(and(t1,t3))
| not(xor(t3,not(t1))) = xor(t1,t3) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t3,not(t1))))),bind(Y0,$fot(not(and(t1,t3)))),bind(Z0,$fot(xor(t1,t3)))]]) ).
cnf(refute_0_14404,plain,
( not(and(t1,t3)) != xor(t1,t3)
| not(xor(t3,not(t1))) = xor(t1,t3) ),
inference(resolve,[$cnf( $equal(not(xor(t3,not(t1))),not(and(t1,t3))) )],[refute_0_14402,refute_0_14403]) ).
cnf(refute_0_14405,plain,
not(xor(t3,not(t1))) = xor(t1,t3),
inference(resolve,[$cnf( $equal(not(and(t1,t3)),xor(t1,t3)) )],[refute_0_3007,refute_0_14404]) ).
cnf(refute_0_14406,plain,
or(t3,not(xor(t3,not(t1)))) = or(t3,not(xor(t3,not(t1)))),
introduced(tautology,[refl,[$fot(or(t3,not(xor(t3,not(t1)))))]]) ).
cnf(refute_0_14407,plain,
( not(xor(t3,not(t1))) != xor(t1,t3)
| or(t3,not(xor(t3,not(t1)))) != or(t3,not(xor(t3,not(t1))))
| or(t3,not(xor(t3,not(t1)))) = or(t3,xor(t1,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,not(xor(t3,not(t1)))),or(t3,not(xor(t3,not(t1))))) ),[1,1],$fot(xor(t1,t3))]]) ).
cnf(refute_0_14408,plain,
( not(xor(t3,not(t1))) != xor(t1,t3)
| or(t3,not(xor(t3,not(t1)))) = or(t3,xor(t1,t3)) ),
inference(resolve,[$cnf( $equal(or(t3,not(xor(t3,not(t1)))),or(t3,not(xor(t3,not(t1))))) )],[refute_0_14406,refute_0_14407]) ).
cnf(refute_0_14409,plain,
or(t3,not(xor(t3,not(t1)))) = or(t3,xor(t1,t3)),
inference(resolve,[$cnf( $equal(not(xor(t3,not(t1))),xor(t1,t3)) )],[refute_0_14405,refute_0_14408]) ).
cnf(refute_0_14410,plain,
( ll1 != or(t3,not(xor(t3,not(t1))))
| or(t3,not(xor(t3,not(t1)))) != or(t3,xor(t1,t3))
| ll1 = or(t3,xor(t1,t3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll1,or(t3,xor(t1,t3))) ),[0],$fot(or(t3,not(xor(t3,not(t1)))))]]) ).
cnf(refute_0_14411,plain,
( ll1 != or(t3,not(xor(t3,not(t1))))
| ll1 = or(t3,xor(t1,t3)) ),
inference(resolve,[$cnf( $equal(or(t3,not(xor(t3,not(t1)))),or(t3,xor(t1,t3))) )],[refute_0_14409,refute_0_14410]) ).
cnf(refute_0_14412,plain,
ll1 = or(t3,xor(t1,t3)),
inference(resolve,[$cnf( $equal(ll1,or(t3,not(xor(t3,not(t1))))) )],[refute_0_14375,refute_0_14411]) ).
cnf(refute_0_14413,plain,
( ll1 != or(t3,xor(t1,t3))
| or(t3,xor(t1,t3)) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(t3,xor(t1,t3))))]]) ).
cnf(refute_0_14414,plain,
or(t3,xor(t1,t3)) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(t3,xor(t1,t3))) )],[refute_0_14412,refute_0_14413]) ).
cnf(refute_0_14415,plain,
( or(or(t3,xor(t1,t3)),Z) != or(t3,or(xor(t1,t3),Z))
| or(t3,xor(t1,t3)) != ll1
| or(ll1,Z) = or(t3,or(xor(t1,t3),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t3,xor(t1,t3)),Z),or(t3,or(xor(t1,t3),Z))) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_14416,plain,
( or(or(t3,xor(t1,t3)),Z) != or(t3,or(xor(t1,t3),Z))
| or(ll1,Z) = or(t3,or(xor(t1,t3),Z)) ),
inference(resolve,[$cnf( $equal(or(t3,xor(t1,t3)),ll1) )],[refute_0_14414,refute_0_14415]) ).
cnf(refute_0_14417,plain,
or(ll1,Z) = or(t3,or(xor(t1,t3),Z)),
inference(resolve,[$cnf( $equal(or(or(t3,xor(t1,t3)),Z),or(t3,or(xor(t1,t3),Z))) )],[refute_0_14365,refute_0_14416]) ).
cnf(refute_0_14418,plain,
( or(ll1,Z) != ll1
| or(ll1,Z) != or(t3,or(xor(t1,t3),Z))
| ll1 = or(t3,or(xor(t1,t3),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll1,Z),or(t3,or(xor(t1,t3),Z))) ),[0],$fot(ll1)]]) ).
cnf(refute_0_14419,plain,
( or(ll1,Z) != or(t3,or(xor(t1,t3),Z))
| ll1 = or(t3,or(xor(t1,t3),Z)) ),
inference(resolve,[$cnf( $equal(or(ll1,Z),ll1) )],[refute_0_6102,refute_0_14418]) ).
cnf(refute_0_14420,plain,
ll1 = or(t3,or(xor(t1,t3),Z)),
inference(resolve,[$cnf( $equal(or(ll1,Z),or(t3,or(xor(t1,t3),Z))) )],[refute_0_14417,refute_0_14419]) ).
cnf(refute_0_14421,plain,
or(t3,or(b,Z)) = or(b,or(t3,Z)),
inference(subst,[],[refute_0_267:[bind(X_37,$fot(t3)),bind(X_38,$fot(b)),bind(X_39,$fot(Z))]]) ).
cnf(refute_0_14422,plain,
or(xor(t1,t3),Z) = or(xor(t1,t3),Z),
introduced(tautology,[refl,[$fot(or(xor(t1,t3),Z))]]) ).
cnf(refute_0_14423,plain,
( or(xor(t1,t3),Z) != or(xor(t1,t3),Z)
| xor(t1,t3) != b
| or(xor(t1,t3),Z) = or(b,Z) ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(t1,t3),Z),or(xor(t1,t3),Z)) ),[1,0],$fot(b)]]) ).
cnf(refute_0_14424,plain,
( xor(t1,t3) != b
| or(xor(t1,t3),Z) = or(b,Z) ),
inference(resolve,[$cnf( $equal(or(xor(t1,t3),Z),or(xor(t1,t3),Z)) )],[refute_0_14422,refute_0_14423]) ).
cnf(refute_0_14425,plain,
or(xor(t1,t3),Z) = or(b,Z),
inference(resolve,[$cnf( $equal(xor(t1,t3),b) )],[refute_0_1872,refute_0_14424]) ).
cnf(refute_0_14426,plain,
or(t3,or(xor(t1,t3),Z)) = or(t3,or(xor(t1,t3),Z)),
introduced(tautology,[refl,[$fot(or(t3,or(xor(t1,t3),Z)))]]) ).
cnf(refute_0_14427,plain,
( or(t3,or(xor(t1,t3),Z)) != or(t3,or(xor(t1,t3),Z))
| or(xor(t1,t3),Z) != or(b,Z)
| or(t3,or(xor(t1,t3),Z)) = or(t3,or(b,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,or(xor(t1,t3),Z)),or(t3,or(xor(t1,t3),Z))) ),[1,1],$fot(or(b,Z))]]) ).
cnf(refute_0_14428,plain,
( or(xor(t1,t3),Z) != or(b,Z)
| or(t3,or(xor(t1,t3),Z)) = or(t3,or(b,Z)) ),
inference(resolve,[$cnf( $equal(or(t3,or(xor(t1,t3),Z)),or(t3,or(xor(t1,t3),Z))) )],[refute_0_14426,refute_0_14427]) ).
cnf(refute_0_14429,plain,
or(t3,or(xor(t1,t3),Z)) = or(t3,or(b,Z)),
inference(resolve,[$cnf( $equal(or(xor(t1,t3),Z),or(b,Z)) )],[refute_0_14425,refute_0_14428]) ).
cnf(refute_0_14430,plain,
( or(t3,or(b,Z)) != or(b,or(t3,Z))
| or(t3,or(xor(t1,t3),Z)) != or(t3,or(b,Z))
| or(t3,or(xor(t1,t3),Z)) = or(b,or(t3,Z)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t3,or(xor(t1,t3),Z)))),bind(Y0,$fot(or(t3,or(b,Z)))),bind(Z0,$fot(or(b,or(t3,Z))))]]) ).
cnf(refute_0_14431,plain,
( or(t3,or(b,Z)) != or(b,or(t3,Z))
| or(t3,or(xor(t1,t3),Z)) = or(b,or(t3,Z)) ),
inference(resolve,[$cnf( $equal(or(t3,or(xor(t1,t3),Z)),or(t3,or(b,Z))) )],[refute_0_14429,refute_0_14430]) ).
cnf(refute_0_14432,plain,
or(t3,or(xor(t1,t3),Z)) = or(b,or(t3,Z)),
inference(resolve,[$cnf( $equal(or(t3,or(b,Z)),or(b,or(t3,Z))) )],[refute_0_14421,refute_0_14431]) ).
cnf(refute_0_14433,plain,
( ll1 != or(t3,or(xor(t1,t3),Z))
| or(t3,or(xor(t1,t3),Z)) != or(b,or(t3,Z))
| ll1 = or(b,or(t3,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll1,or(b,or(t3,Z))) ),[0],$fot(or(t3,or(xor(t1,t3),Z)))]]) ).
cnf(refute_0_14434,plain,
( ll1 != or(t3,or(xor(t1,t3),Z))
| ll1 = or(b,or(t3,Z)) ),
inference(resolve,[$cnf( $equal(or(t3,or(xor(t1,t3),Z)),or(b,or(t3,Z))) )],[refute_0_14432,refute_0_14433]) ).
cnf(refute_0_14435,plain,
ll1 = or(b,or(t3,Z)),
inference(resolve,[$cnf( $equal(ll1,or(t3,or(xor(t1,t3),Z))) )],[refute_0_14420,refute_0_14434]) ).
cnf(refute_0_14436,plain,
ll1 = or(b,or(t3,t5)),
inference(subst,[],[refute_0_14435:[bind(Z,$fot(t5))]]) ).
cnf(refute_0_14437,plain,
or(t3,t5) = or(a,or(t5,xor(a,t3))),
inference(subst,[],[refute_0_13863:[bind(X_360,$fot(t5))]]) ).
cnf(refute_0_14438,plain,
or(t5,not(or(a,t4))) = t5,
inference(subst,[],[refute_0_1260:[bind(X,$fot(a))]]) ).
cnf(refute_0_14439,plain,
( not(or(a,t4)) != xor(a,t3)
| or(t5,not(or(a,t4))) != t5
| or(t5,xor(a,t3)) = t5 ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,not(or(a,t4))),t5) ),[0,1],$fot(xor(a,t3))]]) ).
cnf(refute_0_14440,plain,
( or(t5,not(or(a,t4))) != t5
| or(t5,xor(a,t3)) = t5 ),
inference(resolve,[$cnf( $equal(not(or(a,t4)),xor(a,t3)) )],[refute_0_2958,refute_0_14439]) ).
cnf(refute_0_14441,plain,
or(t5,xor(a,t3)) = t5,
inference(resolve,[$cnf( $equal(or(t5,not(or(a,t4))),t5) )],[refute_0_14438,refute_0_14440]) ).
cnf(refute_0_14442,plain,
( or(t3,t5) != or(a,or(t5,xor(a,t3)))
| or(t5,xor(a,t3)) != t5
| or(t3,t5) = or(a,t5) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,t5),or(a,or(t5,xor(a,t3)))) ),[1,1],$fot(t5)]]) ).
cnf(refute_0_14443,plain,
( or(t3,t5) != or(a,or(t5,xor(a,t3)))
| or(t3,t5) = or(a,t5) ),
inference(resolve,[$cnf( $equal(or(t5,xor(a,t3)),t5) )],[refute_0_14441,refute_0_14442]) ).
cnf(refute_0_14444,plain,
or(t3,t5) = or(a,t5),
inference(resolve,[$cnf( $equal(or(t3,t5),or(a,or(t5,xor(a,t3)))) )],[refute_0_14437,refute_0_14443]) ).
cnf(refute_0_14445,plain,
( ll1 != or(b,or(t3,t5))
| or(t3,t5) != or(a,t5)
| ll1 = or(b,or(a,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(b,or(t3,t5))) ),[1,1],$fot(or(a,t5))]]) ).
cnf(refute_0_14446,plain,
( ll1 != or(b,or(t3,t5))
| ll1 = or(b,or(a,t5)) ),
inference(resolve,[$cnf( $equal(or(t3,t5),or(a,t5)) )],[refute_0_14444,refute_0_14445]) ).
cnf(refute_0_14447,plain,
ll1 = or(b,or(a,t5)),
inference(resolve,[$cnf( $equal(ll1,or(b,or(t3,t5))) )],[refute_0_14436,refute_0_14446]) ).
cnf(refute_0_14448,plain,
or(b,or(a,t5)) = or(a,or(b,t5)),
inference(subst,[],[refute_0_267:[bind(X_37,$fot(b)),bind(X_38,$fot(a)),bind(X_39,$fot(t5))]]) ).
cnf(refute_0_14449,plain,
( ll1 != or(b,or(a,t5))
| or(b,or(a,t5)) != or(a,or(b,t5))
| ll1 = or(a,or(b,t5)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll1,or(a,or(b,t5))) ),[0],$fot(or(b,or(a,t5)))]]) ).
cnf(refute_0_14450,plain,
( ll1 != or(b,or(a,t5))
| ll1 = or(a,or(b,t5)) ),
inference(resolve,[$cnf( $equal(or(b,or(a,t5)),or(a,or(b,t5))) )],[refute_0_14448,refute_0_14449]) ).
cnf(refute_0_14451,plain,
ll1 = or(a,or(b,t5)),
inference(resolve,[$cnf( $equal(ll1,or(b,or(a,t5))) )],[refute_0_14447,refute_0_14450]) ).
cnf(refute_0_14452,plain,
( ll1 != or(a,or(b,t5))
| or(a,or(b,t5)) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(a,or(b,t5))))]]) ).
cnf(refute_0_14453,plain,
or(a,or(b,t5)) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(a,or(b,t5))) )],[refute_0_14451,refute_0_14452]) ).
cnf(refute_0_14454,plain,
( or(a,and(X_819,or(b,t5))) != and(or(a,X_819),or(a,or(b,t5)))
| or(a,or(b,t5)) != ll1
| or(a,and(X_819,or(b,t5))) = and(or(a,X_819),ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(a,and(X_819,or(b,t5))),and(or(a,X_819),or(a,or(b,t5)))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_14455,plain,
( or(a,and(X_819,or(b,t5))) != and(or(a,X_819),or(a,or(b,t5)))
| or(a,and(X_819,or(b,t5))) = and(or(a,X_819),ll1) ),
inference(resolve,[$cnf( $equal(or(a,or(b,t5)),ll1) )],[refute_0_14453,refute_0_14454]) ).
cnf(refute_0_14456,plain,
or(a,and(X_819,or(b,t5))) = and(or(a,X_819),ll1),
inference(resolve,[$cnf( $equal(or(a,and(X_819,or(b,t5))),and(or(a,X_819),or(a,or(b,t5)))) )],[refute_0_14364,refute_0_14455]) ).
cnf(refute_0_14457,plain,
and(ll1,or(a,X_819)) = or(a,X_819),
inference(subst,[],[refute_0_64:[bind(X,$fot(or(a,X_819)))]]) ).
cnf(refute_0_14458,plain,
and(or(a,X_819),ll1) = and(ll1,or(a,X_819)),
inference(subst,[],[refute_0_4252:[bind(X_14,$fot(ll1)),bind(X_669,$fot(or(a,X_819)))]]) ).
cnf(refute_0_14459,plain,
( and(ll1,or(a,X_819)) != or(a,X_819)
| and(or(a,X_819),ll1) != and(ll1,or(a,X_819))
| and(or(a,X_819),ll1) = or(a,X_819) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(or(a,X_819),ll1))),bind(Y0,$fot(and(ll1,or(a,X_819)))),bind(Z0,$fot(or(a,X_819)))]]) ).
cnf(refute_0_14460,plain,
( and(ll1,or(a,X_819)) != or(a,X_819)
| and(or(a,X_819),ll1) = or(a,X_819) ),
inference(resolve,[$cnf( $equal(and(or(a,X_819),ll1),and(ll1,or(a,X_819))) )],[refute_0_14458,refute_0_14459]) ).
cnf(refute_0_14461,plain,
and(or(a,X_819),ll1) = or(a,X_819),
inference(resolve,[$cnf( $equal(and(ll1,or(a,X_819)),or(a,X_819)) )],[refute_0_14457,refute_0_14460]) ).
cnf(refute_0_14462,plain,
( and(or(a,X_819),ll1) != or(a,X_819)
| or(a,and(X_819,or(b,t5))) != and(or(a,X_819),ll1)
| or(a,and(X_819,or(b,t5))) = or(a,X_819) ),
introduced(tautology,[equality,[$cnf( $equal(or(a,and(X_819,or(b,t5))),and(or(a,X_819),ll1)) ),[1],$fot(or(a,X_819))]]) ).
cnf(refute_0_14463,plain,
( or(a,and(X_819,or(b,t5))) != and(or(a,X_819),ll1)
| or(a,and(X_819,or(b,t5))) = or(a,X_819) ),
inference(resolve,[$cnf( $equal(and(or(a,X_819),ll1),or(a,X_819)) )],[refute_0_14461,refute_0_14462]) ).
cnf(refute_0_14464,plain,
or(a,and(X_819,or(b,t5))) = or(a,X_819),
inference(resolve,[$cnf( $equal(or(a,and(X_819,or(b,t5))),and(or(a,X_819),ll1)) )],[refute_0_14456,refute_0_14463]) ).
cnf(refute_0_14465,plain,
or(a,and(t6,or(b,t5))) = or(a,t6),
inference(subst,[],[refute_0_14464:[bind(X_819,$fot(t6))]]) ).
cnf(refute_0_14466,plain,
or(and(t6,or(b,t5)),a) = or(a,and(t6,or(b,t5))),
inference(subst,[],[refute_0_5:[bind(X,$fot(a)),bind(Y,$fot(and(t6,or(b,t5))))]]) ).
cnf(refute_0_14467,plain,
( or(a,and(t6,or(b,t5))) != or(a,t6)
| or(and(t6,or(b,t5)),a) != or(a,and(t6,or(b,t5)))
| or(and(t6,or(b,t5)),a) = or(a,t6) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(t6,or(b,t5)),a))),bind(Y0,$fot(or(a,and(t6,or(b,t5))))),bind(Z0,$fot(or(a,t6)))]]) ).
cnf(refute_0_14468,plain,
( or(a,and(t6,or(b,t5))) != or(a,t6)
| or(and(t6,or(b,t5)),a) = or(a,t6) ),
inference(resolve,[$cnf( $equal(or(and(t6,or(b,t5)),a),or(a,and(t6,or(b,t5)))) )],[refute_0_14466,refute_0_14467]) ).
cnf(refute_0_14469,plain,
or(and(t6,or(b,t5)),a) = or(a,t6),
inference(resolve,[$cnf( $equal(or(a,and(t6,or(b,t5))),or(a,t6)) )],[refute_0_14465,refute_0_14468]) ).
cnf(refute_0_14470,plain,
or(and(t6,or(b,t5)),and(X_819,xor(t6,or(b,t5)))) = and(or(and(t6,or(b,t5)),X_819),or(and(t6,or(b,t5)),xor(t6,or(b,t5)))),
inference(subst,[],[and_distributive:[bind(X,$fot(and(t6,or(b,t5)))),bind(Y,$fot(X_819)),bind(Z,$fot(xor(t6,or(b,t5))))]]) ).
cnf(refute_0_14471,plain,
or(xor(t6,or(t2,t5)),not(xor(t6,or(t2,t5)))) = ll1,
inference(subst,[],[or_complement:[bind(X,$fot(xor(t6,or(t2,t5))))]]) ).
cnf(refute_0_14472,plain,
( and(t6,or(t2,t5)) != not(xor(t6,or(t2,t5)))
| not(xor(t6,or(t2,t5))) = and(t6,or(t2,t5)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t6,or(t2,t5)))),bind(Y0,$fot(not(xor(t6,or(t2,t5)))))]]) ).
cnf(refute_0_14473,plain,
not(xor(t6,or(t2,t5))) = and(t6,or(t2,t5)),
inference(resolve,[$cnf( $equal(and(t6,or(t2,t5)),not(xor(t6,or(t2,t5)))) )],[refute_0_14135,refute_0_14472]) ).
cnf(refute_0_14474,plain,
( not(xor(t6,or(t2,t5))) != and(t6,or(t2,t5))
| or(xor(t6,or(t2,t5)),not(xor(t6,or(t2,t5)))) != ll1
| or(xor(t6,or(t2,t5)),and(t6,or(t2,t5))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(t6,or(t2,t5)),not(xor(t6,or(t2,t5)))),ll1) ),[0,1],$fot(and(t6,or(t2,t5)))]]) ).
cnf(refute_0_14475,plain,
( or(xor(t6,or(t2,t5)),not(xor(t6,or(t2,t5)))) != ll1
| or(xor(t6,or(t2,t5)),and(t6,or(t2,t5))) = ll1 ),
inference(resolve,[$cnf( $equal(not(xor(t6,or(t2,t5))),and(t6,or(t2,t5))) )],[refute_0_14473,refute_0_14474]) ).
cnf(refute_0_14476,plain,
or(xor(t6,or(t2,t5)),and(t6,or(t2,t5))) = ll1,
inference(resolve,[$cnf( $equal(or(xor(t6,or(t2,t5)),not(xor(t6,or(t2,t5)))),ll1) )],[refute_0_14471,refute_0_14475]) ).
cnf(refute_0_14477,plain,
or(xor(t6,or(t2,t5)),and(t6,or(t2,t5))) = or(and(t6,or(t2,t5)),xor(t6,or(t2,t5))),
inference(subst,[],[refute_0_5:[bind(X,$fot(and(t6,or(t2,t5)))),bind(Y,$fot(xor(t6,or(t2,t5))))]]) ).
cnf(refute_0_14478,plain,
( or(xor(t6,or(t2,t5)),and(t6,or(t2,t5))) != ll1
| or(xor(t6,or(t2,t5)),and(t6,or(t2,t5))) != or(and(t6,or(t2,t5)),xor(t6,or(t2,t5)))
| or(and(t6,or(t2,t5)),xor(t6,or(t2,t5))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(t6,or(t2,t5)),and(t6,or(t2,t5))),ll1) ),[0],$fot(or(and(t6,or(t2,t5)),xor(t6,or(t2,t5))))]]) ).
cnf(refute_0_14479,plain,
( or(xor(t6,or(t2,t5)),and(t6,or(t2,t5))) != ll1
| or(and(t6,or(t2,t5)),xor(t6,or(t2,t5))) = ll1 ),
inference(resolve,[$cnf( $equal(or(xor(t6,or(t2,t5)),and(t6,or(t2,t5))),or(and(t6,or(t2,t5)),xor(t6,or(t2,t5)))) )],[refute_0_14477,refute_0_14478]) ).
cnf(refute_0_14480,plain,
or(and(t6,or(t2,t5)),xor(t6,or(t2,t5))) = ll1,
inference(resolve,[$cnf( $equal(or(xor(t6,or(t2,t5)),and(t6,or(t2,t5))),ll1) )],[refute_0_14476,refute_0_14479]) ).
cnf(refute_0_14481,plain,
or(and(t6,or(b,t5)),xor(t6,or(t2,t5))) = or(and(t6,or(b,t5)),xor(t6,or(t2,t5))),
introduced(tautology,[refl,[$fot(or(and(t6,or(b,t5)),xor(t6,or(t2,t5))))]]) ).
cnf(refute_0_14482,plain,
( or(and(t6,or(b,t5)),xor(t6,or(t2,t5))) != or(and(t6,or(b,t5)),xor(t6,or(t2,t5)))
| xor(t6,or(t2,t5)) != xor(t6,or(b,t5))
| or(and(t6,or(b,t5)),xor(t6,or(t2,t5))) = or(and(t6,or(b,t5)),xor(t6,or(b,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,or(b,t5)),xor(t6,or(t2,t5))),or(and(t6,or(b,t5)),xor(t6,or(t2,t5)))) ),[1,1],$fot(xor(t6,or(b,t5)))]]) ).
cnf(refute_0_14483,plain,
( xor(t6,or(t2,t5)) != xor(t6,or(b,t5))
| or(and(t6,or(b,t5)),xor(t6,or(t2,t5))) = or(and(t6,or(b,t5)),xor(t6,or(b,t5))) ),
inference(resolve,[$cnf( $equal(or(and(t6,or(b,t5)),xor(t6,or(t2,t5))),or(and(t6,or(b,t5)),xor(t6,or(t2,t5)))) )],[refute_0_14481,refute_0_14482]) ).
cnf(refute_0_14484,plain,
or(and(t6,or(b,t5)),xor(t6,or(t2,t5))) = or(and(t6,or(b,t5)),xor(t6,or(b,t5))),
inference(resolve,[$cnf( $equal(xor(t6,or(t2,t5)),xor(t6,or(b,t5))) )],[refute_0_14347,refute_0_14483]) ).
cnf(refute_0_14485,plain,
or(and(t6,or(t2,t5)),xor(t6,or(t2,t5))) = or(and(t6,or(t2,t5)),xor(t6,or(t2,t5))),
introduced(tautology,[refl,[$fot(or(and(t6,or(t2,t5)),xor(t6,or(t2,t5))))]]) ).
cnf(refute_0_14486,plain,
( and(t6,or(t2,t5)) != and(t6,or(b,t5))
| or(and(t6,or(t2,t5)),xor(t6,or(t2,t5))) != or(and(t6,or(t2,t5)),xor(t6,or(t2,t5)))
| or(and(t6,or(t2,t5)),xor(t6,or(t2,t5))) = or(and(t6,or(b,t5)),xor(t6,or(t2,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,or(t2,t5)),xor(t6,or(t2,t5))),or(and(t6,or(t2,t5)),xor(t6,or(t2,t5)))) ),[1,0],$fot(and(t6,or(b,t5)))]]) ).
cnf(refute_0_14487,plain,
( and(t6,or(t2,t5)) != and(t6,or(b,t5))
| or(and(t6,or(t2,t5)),xor(t6,or(t2,t5))) = or(and(t6,or(b,t5)),xor(t6,or(t2,t5))) ),
inference(resolve,[$cnf( $equal(or(and(t6,or(t2,t5)),xor(t6,or(t2,t5))),or(and(t6,or(t2,t5)),xor(t6,or(t2,t5)))) )],[refute_0_14485,refute_0_14486]) ).
cnf(refute_0_14488,plain,
or(and(t6,or(t2,t5)),xor(t6,or(t2,t5))) = or(and(t6,or(b,t5)),xor(t6,or(t2,t5))),
inference(resolve,[$cnf( $equal(and(t6,or(t2,t5)),and(t6,or(b,t5))) )],[refute_0_14341,refute_0_14487]) ).
cnf(refute_0_14489,plain,
( or(and(t6,or(b,t5)),xor(t6,or(t2,t5))) != or(and(t6,or(b,t5)),xor(t6,or(b,t5)))
| or(and(t6,or(t2,t5)),xor(t6,or(t2,t5))) != or(and(t6,or(b,t5)),xor(t6,or(t2,t5)))
| or(and(t6,or(t2,t5)),xor(t6,or(t2,t5))) = or(and(t6,or(b,t5)),xor(t6,or(b,t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(t6,or(t2,t5)),xor(t6,or(t2,t5))))),bind(Y0,$fot(or(and(t6,or(b,t5)),xor(t6,or(t2,t5))))),bind(Z0,$fot(or(and(t6,or(b,t5)),xor(t6,or(b,t5)))))]]) ).
cnf(refute_0_14490,plain,
( or(and(t6,or(b,t5)),xor(t6,or(t2,t5))) != or(and(t6,or(b,t5)),xor(t6,or(b,t5)))
| or(and(t6,or(t2,t5)),xor(t6,or(t2,t5))) = or(and(t6,or(b,t5)),xor(t6,or(b,t5))) ),
inference(resolve,[$cnf( $equal(or(and(t6,or(t2,t5)),xor(t6,or(t2,t5))),or(and(t6,or(b,t5)),xor(t6,or(t2,t5)))) )],[refute_0_14488,refute_0_14489]) ).
cnf(refute_0_14491,plain,
or(and(t6,or(t2,t5)),xor(t6,or(t2,t5))) = or(and(t6,or(b,t5)),xor(t6,or(b,t5))),
inference(resolve,[$cnf( $equal(or(and(t6,or(b,t5)),xor(t6,or(t2,t5))),or(and(t6,or(b,t5)),xor(t6,or(b,t5)))) )],[refute_0_14484,refute_0_14490]) ).
cnf(refute_0_14492,plain,
( or(and(t6,or(t2,t5)),xor(t6,or(t2,t5))) != ll1
| or(and(t6,or(t2,t5)),xor(t6,or(t2,t5))) != or(and(t6,or(b,t5)),xor(t6,or(b,t5)))
| or(and(t6,or(b,t5)),xor(t6,or(b,t5))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,or(t2,t5)),xor(t6,or(t2,t5))),ll1) ),[0],$fot(or(and(t6,or(b,t5)),xor(t6,or(b,t5))))]]) ).
cnf(refute_0_14493,plain,
( or(and(t6,or(t2,t5)),xor(t6,or(t2,t5))) != ll1
| or(and(t6,or(b,t5)),xor(t6,or(b,t5))) = ll1 ),
inference(resolve,[$cnf( $equal(or(and(t6,or(t2,t5)),xor(t6,or(t2,t5))),or(and(t6,or(b,t5)),xor(t6,or(b,t5)))) )],[refute_0_14491,refute_0_14492]) ).
cnf(refute_0_14494,plain,
or(and(t6,or(b,t5)),xor(t6,or(b,t5))) = ll1,
inference(resolve,[$cnf( $equal(or(and(t6,or(t2,t5)),xor(t6,or(t2,t5))),ll1) )],[refute_0_14480,refute_0_14493]) ).
cnf(refute_0_14495,plain,
( or(and(t6,or(b,t5)),and(X_819,xor(t6,or(b,t5)))) != and(or(and(t6,or(b,t5)),X_819),or(and(t6,or(b,t5)),xor(t6,or(b,t5))))
| or(and(t6,or(b,t5)),xor(t6,or(b,t5))) != ll1
| or(and(t6,or(b,t5)),and(X_819,xor(t6,or(b,t5)))) = and(or(and(t6,or(b,t5)),X_819),ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,or(b,t5)),and(X_819,xor(t6,or(b,t5)))),and(or(and(t6,or(b,t5)),X_819),or(and(t6,or(b,t5)),xor(t6,or(b,t5))))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_14496,plain,
( or(and(t6,or(b,t5)),and(X_819,xor(t6,or(b,t5)))) != and(or(and(t6,or(b,t5)),X_819),or(and(t6,or(b,t5)),xor(t6,or(b,t5))))
| or(and(t6,or(b,t5)),and(X_819,xor(t6,or(b,t5)))) = and(or(and(t6,or(b,t5)),X_819),ll1) ),
inference(resolve,[$cnf( $equal(or(and(t6,or(b,t5)),xor(t6,or(b,t5))),ll1) )],[refute_0_14494,refute_0_14495]) ).
cnf(refute_0_14497,plain,
or(and(t6,or(b,t5)),and(X_819,xor(t6,or(b,t5)))) = and(or(and(t6,or(b,t5)),X_819),ll1),
inference(resolve,[$cnf( $equal(or(and(t6,or(b,t5)),and(X_819,xor(t6,or(b,t5)))),and(or(and(t6,or(b,t5)),X_819),or(and(t6,or(b,t5)),xor(t6,or(b,t5))))) )],[refute_0_14470,refute_0_14496]) ).
cnf(refute_0_14498,plain,
and(ll1,or(and(t6,or(b,t5)),X_819)) = or(and(t6,or(b,t5)),X_819),
inference(subst,[],[refute_0_64:[bind(X,$fot(or(and(t6,or(b,t5)),X_819)))]]) ).
cnf(refute_0_14499,plain,
and(or(and(t6,or(b,t5)),X_819),ll1) = and(ll1,or(and(t6,or(b,t5)),X_819)),
inference(subst,[],[refute_0_4252:[bind(X_14,$fot(ll1)),bind(X_669,$fot(or(and(t6,or(b,t5)),X_819)))]]) ).
cnf(refute_0_14500,plain,
( and(ll1,or(and(t6,or(b,t5)),X_819)) != or(and(t6,or(b,t5)),X_819)
| and(or(and(t6,or(b,t5)),X_819),ll1) != and(ll1,or(and(t6,or(b,t5)),X_819))
| and(or(and(t6,or(b,t5)),X_819),ll1) = or(and(t6,or(b,t5)),X_819) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(or(and(t6,or(b,t5)),X_819),ll1))),bind(Y0,$fot(and(ll1,or(and(t6,or(b,t5)),X_819)))),bind(Z0,$fot(or(and(t6,or(b,t5)),X_819)))]]) ).
cnf(refute_0_14501,plain,
( and(ll1,or(and(t6,or(b,t5)),X_819)) != or(and(t6,or(b,t5)),X_819)
| and(or(and(t6,or(b,t5)),X_819),ll1) = or(and(t6,or(b,t5)),X_819) ),
inference(resolve,[$cnf( $equal(and(or(and(t6,or(b,t5)),X_819),ll1),and(ll1,or(and(t6,or(b,t5)),X_819))) )],[refute_0_14499,refute_0_14500]) ).
cnf(refute_0_14502,plain,
and(or(and(t6,or(b,t5)),X_819),ll1) = or(and(t6,or(b,t5)),X_819),
inference(resolve,[$cnf( $equal(and(ll1,or(and(t6,or(b,t5)),X_819)),or(and(t6,or(b,t5)),X_819)) )],[refute_0_14498,refute_0_14501]) ).
cnf(refute_0_14503,plain,
( and(or(and(t6,or(b,t5)),X_819),ll1) != or(and(t6,or(b,t5)),X_819)
| or(and(t6,or(b,t5)),and(X_819,xor(t6,or(b,t5)))) != and(or(and(t6,or(b,t5)),X_819),ll1)
| or(and(t6,or(b,t5)),and(X_819,xor(t6,or(b,t5)))) = or(and(t6,or(b,t5)),X_819) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,or(b,t5)),and(X_819,xor(t6,or(b,t5)))),and(or(and(t6,or(b,t5)),X_819),ll1)) ),[1],$fot(or(and(t6,or(b,t5)),X_819))]]) ).
cnf(refute_0_14504,plain,
( or(and(t6,or(b,t5)),and(X_819,xor(t6,or(b,t5)))) != and(or(and(t6,or(b,t5)),X_819),ll1)
| or(and(t6,or(b,t5)),and(X_819,xor(t6,or(b,t5)))) = or(and(t6,or(b,t5)),X_819) ),
inference(resolve,[$cnf( $equal(and(or(and(t6,or(b,t5)),X_819),ll1),or(and(t6,or(b,t5)),X_819)) )],[refute_0_14502,refute_0_14503]) ).
cnf(refute_0_14505,plain,
or(and(t6,or(b,t5)),and(X_819,xor(t6,or(b,t5)))) = or(and(t6,or(b,t5)),X_819),
inference(resolve,[$cnf( $equal(or(and(t6,or(b,t5)),and(X_819,xor(t6,or(b,t5)))),and(or(and(t6,or(b,t5)),X_819),ll1)) )],[refute_0_14497,refute_0_14504]) ).
cnf(refute_0_14506,plain,
or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))) = or(and(t6,or(b,t5)),a),
inference(subst,[],[refute_0_14505:[bind(X_819,$fot(a))]]) ).
cnf(refute_0_14507,plain,
( or(and(t6,or(b,t5)),a) != or(a,t6)
| or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))) != or(and(t6,or(b,t5)),a)
| or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))) = or(a,t6) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))))),bind(Y0,$fot(or(and(t6,or(b,t5)),a))),bind(Z0,$fot(or(a,t6)))]]) ).
cnf(refute_0_14508,plain,
( or(and(t6,or(b,t5)),a) != or(a,t6)
| or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))) = or(a,t6) ),
inference(resolve,[$cnf( $equal(or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))),or(and(t6,or(b,t5)),a)) )],[refute_0_14506,refute_0_14507]) ).
cnf(refute_0_14509,plain,
or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))) = or(a,t6),
inference(resolve,[$cnf( $equal(or(and(t6,or(b,t5)),a),or(a,t6)) )],[refute_0_14469,refute_0_14508]) ).
cnf(refute_0_14510,plain,
and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5))))) = and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5))))),
introduced(tautology,[refl,[$fot(and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5))))))]]) ).
cnf(refute_0_14511,plain,
( and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5))))) != and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))))
| or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))) != or(a,t6)
| and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5))))) = and(X_819,or(a,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5))))),and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))))) ),[1,1],$fot(or(a,t6))]]) ).
cnf(refute_0_14512,plain,
( or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))) != or(a,t6)
| and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5))))) = and(X_819,or(a,t6)) ),
inference(resolve,[$cnf( $equal(and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5))))),and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))))) )],[refute_0_14510,refute_0_14511]) ).
cnf(refute_0_14513,plain,
and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5))))) = and(X_819,or(a,t6)),
inference(resolve,[$cnf( $equal(or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))),or(a,t6)) )],[refute_0_14509,refute_0_14512]) ).
cnf(refute_0_14514,plain,
or(t1,and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))))) = or(t1,and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))))),
introduced(tautology,[refl,[$fot(or(t1,and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))))))]]) ).
cnf(refute_0_14515,plain,
( and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5))))) != and(X_819,or(a,t6))
| or(t1,and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))))) != or(t1,and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5))))))
| or(t1,and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))))) = or(t1,and(X_819,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))))),or(t1,and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5))))))) ),[1,1],$fot(and(X_819,or(a,t6)))]]) ).
cnf(refute_0_14516,plain,
( and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5))))) != and(X_819,or(a,t6))
| or(t1,and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))))) = or(t1,and(X_819,or(a,t6))) ),
inference(resolve,[$cnf( $equal(or(t1,and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))))),or(t1,and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5))))))) )],[refute_0_14514,refute_0_14515]) ).
cnf(refute_0_14517,plain,
or(t1,and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))))) = or(t1,and(X_819,or(a,t6))),
inference(resolve,[$cnf( $equal(and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5))))),and(X_819,or(a,t6))) )],[refute_0_14513,refute_0_14516]) ).
cnf(refute_0_14518,plain,
( or(t1,and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))))) != and(or(t1,X_819),ll1)
| or(t1,and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))))) != or(t1,and(X_819,or(a,t6)))
| or(t1,and(X_819,or(a,t6))) = and(or(t1,X_819),ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))))),and(or(t1,X_819),ll1)) ),[0],$fot(or(t1,and(X_819,or(a,t6))))]]) ).
cnf(refute_0_14519,plain,
( or(t1,and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))))) != and(or(t1,X_819),ll1)
| or(t1,and(X_819,or(a,t6))) = and(or(t1,X_819),ll1) ),
inference(resolve,[$cnf( $equal(or(t1,and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))))),or(t1,and(X_819,or(a,t6)))) )],[refute_0_14517,refute_0_14518]) ).
cnf(refute_0_14520,plain,
and(ll1,or(t1,X_819)) = or(t1,X_819),
inference(subst,[],[refute_0_64:[bind(X,$fot(or(t1,X_819)))]]) ).
cnf(refute_0_14521,plain,
and(or(t1,X_819),ll1) = and(ll1,or(t1,X_819)),
inference(subst,[],[refute_0_4252:[bind(X_14,$fot(ll1)),bind(X_669,$fot(or(t1,X_819)))]]) ).
cnf(refute_0_14522,plain,
( and(ll1,or(t1,X_819)) != or(t1,X_819)
| and(or(t1,X_819),ll1) != and(ll1,or(t1,X_819))
| and(or(t1,X_819),ll1) = or(t1,X_819) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(or(t1,X_819),ll1))),bind(Y0,$fot(and(ll1,or(t1,X_819)))),bind(Z0,$fot(or(t1,X_819)))]]) ).
cnf(refute_0_14523,plain,
( and(ll1,or(t1,X_819)) != or(t1,X_819)
| and(or(t1,X_819),ll1) = or(t1,X_819) ),
inference(resolve,[$cnf( $equal(and(or(t1,X_819),ll1),and(ll1,or(t1,X_819))) )],[refute_0_14521,refute_0_14522]) ).
cnf(refute_0_14524,plain,
and(or(t1,X_819),ll1) = or(t1,X_819),
inference(resolve,[$cnf( $equal(and(ll1,or(t1,X_819)),or(t1,X_819)) )],[refute_0_14520,refute_0_14523]) ).
cnf(refute_0_14525,plain,
( and(or(t1,X_819),ll1) != or(t1,X_819)
| or(t1,and(X_819,or(a,t6))) != and(or(t1,X_819),ll1)
| or(t1,and(X_819,or(a,t6))) = or(t1,X_819) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,and(X_819,or(a,t6))),and(or(t1,X_819),ll1)) ),[1],$fot(or(t1,X_819))]]) ).
cnf(refute_0_14526,plain,
( or(t1,and(X_819,or(a,t6))) != and(or(t1,X_819),ll1)
| or(t1,and(X_819,or(a,t6))) = or(t1,X_819) ),
inference(resolve,[$cnf( $equal(and(or(t1,X_819),ll1),or(t1,X_819)) )],[refute_0_14524,refute_0_14525]) ).
cnf(refute_0_14527,plain,
( or(t1,and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))))) != and(or(t1,X_819),ll1)
| or(t1,and(X_819,or(a,t6))) = or(t1,X_819) ),
inference(resolve,[$cnf( $equal(or(t1,and(X_819,or(a,t6))),and(or(t1,X_819),ll1)) )],[refute_0_14519,refute_0_14526]) ).
cnf(refute_0_14528,plain,
or(t1,and(X_819,or(a,t6))) = or(t1,X_819),
inference(resolve,[$cnf( $equal(or(t1,and(X_819,or(and(t6,or(b,t5)),and(a,xor(t6,or(b,t5)))))),and(or(t1,X_819),ll1)) )],[refute_0_14363,refute_0_14527]) ).
cnf(refute_0_14529,plain,
or(t1,and(t4,or(a,t6))) = or(t1,t4),
inference(subst,[],[refute_0_14528:[bind(X_819,$fot(t4))]]) ).
cnf(refute_0_14530,plain,
( or(t1,and(t4,or(a,t6))) != or(t1,t4)
| or(t1,t4) != t1
| or(t1,and(t4,or(a,t6))) = t1 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t1,and(t4,or(a,t6))))),bind(Y0,$fot(or(t1,t4))),bind(Z0,$fot(t1))]]) ).
cnf(refute_0_14531,plain,
( or(t1,t4) != t1
| or(t1,and(t4,or(a,t6))) = t1 ),
inference(resolve,[$cnf( $equal(or(t1,and(t4,or(a,t6))),or(t1,t4)) )],[refute_0_14529,refute_0_14530]) ).
cnf(refute_0_14532,plain,
or(t1,and(t4,or(a,t6))) = t1,
inference(resolve,[$cnf( $equal(or(t1,t4),t1) )],[refute_0_7881,refute_0_14531]) ).
cnf(refute_0_14533,plain,
or(and(t4,or(a,t6)),t1) = or(t1,and(t4,or(a,t6))),
inference(subst,[],[refute_0_5:[bind(X,$fot(t1)),bind(Y,$fot(and(t4,or(a,t6))))]]) ).
cnf(refute_0_14534,plain,
( or(and(t4,or(a,t6)),t1) != or(t1,and(t4,or(a,t6)))
| or(t1,and(t4,or(a,t6))) != t1
| or(and(t4,or(a,t6)),t1) = t1 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(t4,or(a,t6)),t1))),bind(Y0,$fot(or(t1,and(t4,or(a,t6))))),bind(Z0,$fot(t1))]]) ).
cnf(refute_0_14535,plain,
( or(t1,and(t4,or(a,t6))) != t1
| or(and(t4,or(a,t6)),t1) = t1 ),
inference(resolve,[$cnf( $equal(or(and(t4,or(a,t6)),t1),or(t1,and(t4,or(a,t6)))) )],[refute_0_14533,refute_0_14534]) ).
cnf(refute_0_14536,plain,
or(and(t4,or(a,t6)),t1) = t1,
inference(resolve,[$cnf( $equal(or(t1,and(t4,or(a,t6))),t1) )],[refute_0_14532,refute_0_14535]) ).
cnf(refute_0_14537,plain,
or(and(t4,or(a,t6)),and(X_819,xor(t4,or(a,t6)))) = and(or(and(t4,or(a,t6)),X_819),or(and(t4,or(a,t6)),xor(t4,or(a,t6)))),
inference(subst,[],[and_distributive:[bind(X,$fot(and(t4,or(a,t6)))),bind(Y,$fot(X_819)),bind(Z,$fot(xor(t4,or(a,t6))))]]) ).
cnf(refute_0_14538,plain,
or(and(t4,or(a,t6)),not(and(t4,or(a,t6)))) = ll1,
inference(subst,[],[or_complement:[bind(X,$fot(and(t4,or(a,t6))))]]) ).
cnf(refute_0_14539,plain,
( not(and(t4,or(a,t6))) != xor(t4,or(a,t6))
| or(and(t4,or(a,t6)),not(and(t4,or(a,t6)))) != ll1
| or(and(t4,or(a,t6)),xor(t4,or(a,t6))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,or(a,t6)),not(and(t4,or(a,t6)))),ll1) ),[0,1],$fot(xor(t4,or(a,t6)))]]) ).
cnf(refute_0_14540,plain,
( or(and(t4,or(a,t6)),not(and(t4,or(a,t6)))) != ll1
| or(and(t4,or(a,t6)),xor(t4,or(a,t6))) = ll1 ),
inference(resolve,[$cnf( $equal(not(and(t4,or(a,t6))),xor(t4,or(a,t6))) )],[refute_0_14057,refute_0_14539]) ).
cnf(refute_0_14541,plain,
or(and(t4,or(a,t6)),xor(t4,or(a,t6))) = ll1,
inference(resolve,[$cnf( $equal(or(and(t4,or(a,t6)),not(and(t4,or(a,t6)))),ll1) )],[refute_0_14538,refute_0_14540]) ).
cnf(refute_0_14542,plain,
( or(and(t4,or(a,t6)),and(X_819,xor(t4,or(a,t6)))) != and(or(and(t4,or(a,t6)),X_819),or(and(t4,or(a,t6)),xor(t4,or(a,t6))))
| or(and(t4,or(a,t6)),xor(t4,or(a,t6))) != ll1
| or(and(t4,or(a,t6)),and(X_819,xor(t4,or(a,t6)))) = and(or(and(t4,or(a,t6)),X_819),ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,or(a,t6)),and(X_819,xor(t4,or(a,t6)))),and(or(and(t4,or(a,t6)),X_819),or(and(t4,or(a,t6)),xor(t4,or(a,t6))))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_14543,plain,
( or(and(t4,or(a,t6)),and(X_819,xor(t4,or(a,t6)))) != and(or(and(t4,or(a,t6)),X_819),or(and(t4,or(a,t6)),xor(t4,or(a,t6))))
| or(and(t4,or(a,t6)),and(X_819,xor(t4,or(a,t6)))) = and(or(and(t4,or(a,t6)),X_819),ll1) ),
inference(resolve,[$cnf( $equal(or(and(t4,or(a,t6)),xor(t4,or(a,t6))),ll1) )],[refute_0_14541,refute_0_14542]) ).
cnf(refute_0_14544,plain,
or(and(t4,or(a,t6)),and(X_819,xor(t4,or(a,t6)))) = and(or(and(t4,or(a,t6)),X_819),ll1),
inference(resolve,[$cnf( $equal(or(and(t4,or(a,t6)),and(X_819,xor(t4,or(a,t6)))),and(or(and(t4,or(a,t6)),X_819),or(and(t4,or(a,t6)),xor(t4,or(a,t6))))) )],[refute_0_14537,refute_0_14543]) ).
cnf(refute_0_14545,plain,
and(ll1,or(and(t4,or(a,t6)),X_819)) = or(and(t4,or(a,t6)),X_819),
inference(subst,[],[refute_0_64:[bind(X,$fot(or(and(t4,or(a,t6)),X_819)))]]) ).
cnf(refute_0_14546,plain,
and(or(and(t4,or(a,t6)),X_819),ll1) = and(ll1,or(and(t4,or(a,t6)),X_819)),
inference(subst,[],[refute_0_4252:[bind(X_14,$fot(ll1)),bind(X_669,$fot(or(and(t4,or(a,t6)),X_819)))]]) ).
cnf(refute_0_14547,plain,
( and(ll1,or(and(t4,or(a,t6)),X_819)) != or(and(t4,or(a,t6)),X_819)
| and(or(and(t4,or(a,t6)),X_819),ll1) != and(ll1,or(and(t4,or(a,t6)),X_819))
| and(or(and(t4,or(a,t6)),X_819),ll1) = or(and(t4,or(a,t6)),X_819) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(or(and(t4,or(a,t6)),X_819),ll1))),bind(Y0,$fot(and(ll1,or(and(t4,or(a,t6)),X_819)))),bind(Z0,$fot(or(and(t4,or(a,t6)),X_819)))]]) ).
cnf(refute_0_14548,plain,
( and(ll1,or(and(t4,or(a,t6)),X_819)) != or(and(t4,or(a,t6)),X_819)
| and(or(and(t4,or(a,t6)),X_819),ll1) = or(and(t4,or(a,t6)),X_819) ),
inference(resolve,[$cnf( $equal(and(or(and(t4,or(a,t6)),X_819),ll1),and(ll1,or(and(t4,or(a,t6)),X_819))) )],[refute_0_14546,refute_0_14547]) ).
cnf(refute_0_14549,plain,
and(or(and(t4,or(a,t6)),X_819),ll1) = or(and(t4,or(a,t6)),X_819),
inference(resolve,[$cnf( $equal(and(ll1,or(and(t4,or(a,t6)),X_819)),or(and(t4,or(a,t6)),X_819)) )],[refute_0_14545,refute_0_14548]) ).
cnf(refute_0_14550,plain,
( and(or(and(t4,or(a,t6)),X_819),ll1) != or(and(t4,or(a,t6)),X_819)
| or(and(t4,or(a,t6)),and(X_819,xor(t4,or(a,t6)))) != and(or(and(t4,or(a,t6)),X_819),ll1)
| or(and(t4,or(a,t6)),and(X_819,xor(t4,or(a,t6)))) = or(and(t4,or(a,t6)),X_819) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,or(a,t6)),and(X_819,xor(t4,or(a,t6)))),and(or(and(t4,or(a,t6)),X_819),ll1)) ),[1],$fot(or(and(t4,or(a,t6)),X_819))]]) ).
cnf(refute_0_14551,plain,
( or(and(t4,or(a,t6)),and(X_819,xor(t4,or(a,t6)))) != and(or(and(t4,or(a,t6)),X_819),ll1)
| or(and(t4,or(a,t6)),and(X_819,xor(t4,or(a,t6)))) = or(and(t4,or(a,t6)),X_819) ),
inference(resolve,[$cnf( $equal(and(or(and(t4,or(a,t6)),X_819),ll1),or(and(t4,or(a,t6)),X_819)) )],[refute_0_14549,refute_0_14550]) ).
cnf(refute_0_14552,plain,
or(and(t4,or(a,t6)),and(X_819,xor(t4,or(a,t6)))) = or(and(t4,or(a,t6)),X_819),
inference(resolve,[$cnf( $equal(or(and(t4,or(a,t6)),and(X_819,xor(t4,or(a,t6)))),and(or(and(t4,or(a,t6)),X_819),ll1)) )],[refute_0_14544,refute_0_14551]) ).
cnf(refute_0_14553,plain,
or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))) = or(and(t4,or(a,t6)),t1),
inference(subst,[],[refute_0_14552:[bind(X_819,$fot(t1))]]) ).
cnf(refute_0_14554,plain,
( or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))) != or(and(t4,or(a,t6)),t1)
| or(and(t4,or(a,t6)),t1) != t1
| or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))) = t1 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))))),bind(Y0,$fot(or(and(t4,or(a,t6)),t1))),bind(Z0,$fot(t1))]]) ).
cnf(refute_0_14555,plain,
( or(and(t4,or(a,t6)),t1) != t1
| or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))) = t1 ),
inference(resolve,[$cnf( $equal(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),or(and(t4,or(a,t6)),t1)) )],[refute_0_14553,refute_0_14554]) ).
cnf(refute_0_14556,plain,
or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))) = t1,
inference(resolve,[$cnf( $equal(or(and(t4,or(a,t6)),t1),t1) )],[refute_0_14536,refute_0_14555]) ).
cnf(refute_0_14557,plain,
and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820) = and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820),
introduced(tautology,[refl,[$fot(and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820))]]) ).
cnf(refute_0_14558,plain,
( and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820) != and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820)
| or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))) != t1
| and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820) = and(t1,X_820) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820),and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820)) ),[1,0],$fot(t1)]]) ).
cnf(refute_0_14559,plain,
( or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))) != t1
| and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820) = and(t1,X_820) ),
inference(resolve,[$cnf( $equal(and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820),and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820)) )],[refute_0_14557,refute_0_14558]) ).
cnf(refute_0_14560,plain,
and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820) = and(t1,X_820),
inference(resolve,[$cnf( $equal(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),t1) )],[refute_0_14556,refute_0_14559]) ).
cnf(refute_0_14561,plain,
or(carry,and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820)) = or(carry,and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820)),
introduced(tautology,[refl,[$fot(or(carry,and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820)))]]) ).
cnf(refute_0_14562,plain,
( and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820) != and(t1,X_820)
| or(carry,and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820)) != or(carry,and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820))
| or(carry,and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820)) = or(carry,and(t1,X_820)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820)),or(carry,and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820))) ),[1,1],$fot(and(t1,X_820))]]) ).
cnf(refute_0_14563,plain,
( and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820) != and(t1,X_820)
| or(carry,and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820)) = or(carry,and(t1,X_820)) ),
inference(resolve,[$cnf( $equal(or(carry,and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820)),or(carry,and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820))) )],[refute_0_14561,refute_0_14562]) ).
cnf(refute_0_14564,plain,
or(carry,and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820)) = or(carry,and(t1,X_820)),
inference(resolve,[$cnf( $equal(and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820),and(t1,X_820)) )],[refute_0_14560,refute_0_14563]) ).
cnf(refute_0_14565,plain,
( or(carry,and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820)) != and(ll1,or(carry,X_820))
| or(carry,and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820)) != or(carry,and(t1,X_820))
| or(carry,and(t1,X_820)) = and(ll1,or(carry,X_820)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820)),and(ll1,or(carry,X_820))) ),[0],$fot(or(carry,and(t1,X_820)))]]) ).
cnf(refute_0_14566,plain,
( or(carry,and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820)) != and(ll1,or(carry,X_820))
| or(carry,and(t1,X_820)) = and(ll1,or(carry,X_820)) ),
inference(resolve,[$cnf( $equal(or(carry,and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820)),or(carry,and(t1,X_820))) )],[refute_0_14564,refute_0_14565]) ).
cnf(refute_0_14567,plain,
( and(ll1,or(carry,X_820)) != or(carry,X_820)
| or(carry,and(t1,X_820)) != and(ll1,or(carry,X_820))
| or(carry,and(t1,X_820)) = or(carry,X_820) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,and(t1,X_820)),and(ll1,or(carry,X_820))) ),[1],$fot(or(carry,X_820))]]) ).
cnf(refute_0_14568,plain,
( or(carry,and(t1,X_820)) != and(ll1,or(carry,X_820))
| or(carry,and(t1,X_820)) = or(carry,X_820) ),
inference(resolve,[$cnf( $equal(and(ll1,or(carry,X_820)),or(carry,X_820)) )],[refute_0_4394,refute_0_14567]) ).
cnf(refute_0_14569,plain,
( or(carry,and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820)) != and(ll1,or(carry,X_820))
| or(carry,and(t1,X_820)) = or(carry,X_820) ),
inference(resolve,[$cnf( $equal(or(carry,and(t1,X_820)),and(ll1,or(carry,X_820))) )],[refute_0_14566,refute_0_14568]) ).
cnf(refute_0_14570,plain,
or(carry,and(t1,X_820)) = or(carry,X_820),
inference(resolve,[$cnf( $equal(or(carry,and(or(and(t4,or(a,t6)),and(t1,xor(t4,or(a,t6)))),X_820)),and(ll1,or(carry,X_820))) )],[refute_0_14066,refute_0_14569]) ).
cnf(refute_0_14571,plain,
or(carry,and(t1,not(cin))) = or(carry,not(cin)),
inference(subst,[],[refute_0_14570:[bind(X_820,$fot(not(cin)))]]) ).
cnf(refute_0_14572,plain,
( and(t1,not(cin)) != not(or(carry,cin))
| or(carry,and(t1,not(cin))) != or(carry,not(cin))
| or(carry,not(or(carry,cin))) = or(carry,not(cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,and(t1,not(cin))),or(carry,not(cin))) ),[0,1],$fot(not(or(carry,cin)))]]) ).
cnf(refute_0_14573,plain,
( or(carry,and(t1,not(cin))) != or(carry,not(cin))
| or(carry,not(or(carry,cin))) = or(carry,not(cin)) ),
inference(resolve,[$cnf( $equal(and(t1,not(cin)),not(or(carry,cin))) )],[refute_0_11746,refute_0_14572]) ).
cnf(refute_0_14574,plain,
or(carry,not(or(carry,cin))) = or(carry,not(cin)),
inference(resolve,[$cnf( $equal(or(carry,and(t1,not(cin))),or(carry,not(cin))) )],[refute_0_14571,refute_0_14573]) ).
cnf(refute_0_14575,plain,
not(and(or(cin,and(carry,t5)),not(carry))) = not(and(not(carry),or(cin,and(carry,t5)))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(not(carry))),bind(X_32,$fot(or(cin,and(carry,t5))))]]) ).
cnf(refute_0_14576,plain,
( and(not(carry),or(cin,and(carry,t5))) != xor(carry,or(cin,and(carry,t5)))
| not(and(or(cin,and(carry,t5)),not(carry))) != not(and(not(carry),or(cin,and(carry,t5))))
| not(and(or(cin,and(carry,t5)),not(carry))) = not(xor(carry,or(cin,and(carry,t5)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(cin,and(carry,t5)),not(carry))),not(and(not(carry),or(cin,and(carry,t5))))) ),[1,0],$fot(xor(carry,or(cin,and(carry,t5))))]]) ).
cnf(refute_0_14577,plain,
( not(and(or(cin,and(carry,t5)),not(carry))) != not(and(not(carry),or(cin,and(carry,t5))))
| not(and(or(cin,and(carry,t5)),not(carry))) = not(xor(carry,or(cin,and(carry,t5)))) ),
inference(resolve,[$cnf( $equal(and(not(carry),or(cin,and(carry,t5))),xor(carry,or(cin,and(carry,t5)))) )],[refute_0_11729,refute_0_14576]) ).
cnf(refute_0_14578,plain,
not(and(or(cin,and(carry,t5)),not(carry))) = not(xor(carry,or(cin,and(carry,t5)))),
inference(resolve,[$cnf( $equal(not(and(or(cin,and(carry,t5)),not(carry))),not(and(not(carry),or(cin,and(carry,t5))))) )],[refute_0_14575,refute_0_14577]) ).
cnf(refute_0_14579,plain,
not(and(not(carry),or(cin,and(carry,t5)))) = or(carry,not(or(cin,and(carry,t5)))),
inference(subst,[],[refute_0_787:[bind(X,$fot(carry)),bind(X_32,$fot(or(cin,and(carry,t5))))]]) ).
cnf(refute_0_14580,plain,
( not(and(not(carry),or(cin,and(carry,t5)))) != or(carry,not(or(cin,and(carry,t5))))
| not(and(or(cin,and(carry,t5)),not(carry))) != not(and(not(carry),or(cin,and(carry,t5))))
| not(and(or(cin,and(carry,t5)),not(carry))) = or(carry,not(or(cin,and(carry,t5)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(or(cin,and(carry,t5)),not(carry))))),bind(Y0,$fot(not(and(not(carry),or(cin,and(carry,t5)))))),bind(Z0,$fot(or(carry,not(or(cin,and(carry,t5))))))]]) ).
cnf(refute_0_14581,plain,
( not(and(not(carry),or(cin,and(carry,t5)))) != or(carry,not(or(cin,and(carry,t5))))
| not(and(or(cin,and(carry,t5)),not(carry))) = or(carry,not(or(cin,and(carry,t5)))) ),
inference(resolve,[$cnf( $equal(not(and(or(cin,and(carry,t5)),not(carry))),not(and(not(carry),or(cin,and(carry,t5))))) )],[refute_0_14575,refute_0_14580]) ).
cnf(refute_0_14582,plain,
not(and(or(cin,and(carry,t5)),not(carry))) = or(carry,not(or(cin,and(carry,t5)))),
inference(resolve,[$cnf( $equal(not(and(not(carry),or(cin,and(carry,t5)))),or(carry,not(or(cin,and(carry,t5))))) )],[refute_0_14579,refute_0_14581]) ).
cnf(refute_0_14583,plain,
( not(and(or(cin,and(carry,t5)),not(carry))) != not(xor(carry,or(cin,and(carry,t5))))
| not(and(or(cin,and(carry,t5)),not(carry))) != or(carry,not(or(cin,and(carry,t5))))
| or(carry,not(or(cin,and(carry,t5)))) = not(xor(carry,or(cin,and(carry,t5)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(cin,and(carry,t5)),not(carry))),not(xor(carry,or(cin,and(carry,t5))))) ),[0],$fot(or(carry,not(or(cin,and(carry,t5)))))]]) ).
cnf(refute_0_14584,plain,
( not(and(or(cin,and(carry,t5)),not(carry))) != not(xor(carry,or(cin,and(carry,t5))))
| or(carry,not(or(cin,and(carry,t5)))) = not(xor(carry,or(cin,and(carry,t5)))) ),
inference(resolve,[$cnf( $equal(not(and(or(cin,and(carry,t5)),not(carry))),or(carry,not(or(cin,and(carry,t5))))) )],[refute_0_14582,refute_0_14583]) ).
cnf(refute_0_14585,plain,
or(carry,not(or(cin,and(carry,t5)))) = not(xor(carry,or(cin,and(carry,t5)))),
inference(resolve,[$cnf( $equal(not(and(or(cin,and(carry,t5)),not(carry))),not(xor(carry,or(cin,and(carry,t5))))) )],[refute_0_14578,refute_0_14584]) ).
cnf(refute_0_14586,plain,
not(or(cin,and(carry,t5))) = not(or(cin,and(carry,t5))),
introduced(tautology,[refl,[$fot(not(or(cin,and(carry,t5))))]]) ).
cnf(refute_0_14587,plain,
( not(or(cin,and(carry,t5))) != not(or(cin,and(carry,t5)))
| or(cin,and(carry,t5)) != or(carry,cin)
| not(or(cin,and(carry,t5))) = not(or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(cin,and(carry,t5))),not(or(cin,and(carry,t5)))) ),[1,0],$fot(or(carry,cin))]]) ).
cnf(refute_0_14588,plain,
( or(cin,and(carry,t5)) != or(carry,cin)
| not(or(cin,and(carry,t5))) = not(or(carry,cin)) ),
inference(resolve,[$cnf( $equal(not(or(cin,and(carry,t5))),not(or(cin,and(carry,t5)))) )],[refute_0_14586,refute_0_14587]) ).
cnf(refute_0_14589,plain,
not(or(cin,and(carry,t5))) = not(or(carry,cin)),
inference(resolve,[$cnf( $equal(or(cin,and(carry,t5)),or(carry,cin)) )],[refute_0_11764,refute_0_14588]) ).
cnf(refute_0_14590,plain,
or(carry,not(or(cin,and(carry,t5)))) = or(carry,not(or(cin,and(carry,t5)))),
introduced(tautology,[refl,[$fot(or(carry,not(or(cin,and(carry,t5)))))]]) ).
cnf(refute_0_14591,plain,
( not(or(cin,and(carry,t5))) != not(or(carry,cin))
| or(carry,not(or(cin,and(carry,t5)))) != or(carry,not(or(cin,and(carry,t5))))
| or(carry,not(or(cin,and(carry,t5)))) = or(carry,not(or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(or(cin,and(carry,t5)))),or(carry,not(or(cin,and(carry,t5))))) ),[1,1],$fot(not(or(carry,cin)))]]) ).
cnf(refute_0_14592,plain,
( not(or(cin,and(carry,t5))) != not(or(carry,cin))
| or(carry,not(or(cin,and(carry,t5)))) = or(carry,not(or(carry,cin))) ),
inference(resolve,[$cnf( $equal(or(carry,not(or(cin,and(carry,t5)))),or(carry,not(or(cin,and(carry,t5))))) )],[refute_0_14590,refute_0_14591]) ).
cnf(refute_0_14593,plain,
or(carry,not(or(cin,and(carry,t5)))) = or(carry,not(or(carry,cin))),
inference(resolve,[$cnf( $equal(not(or(cin,and(carry,t5))),not(or(carry,cin))) )],[refute_0_14589,refute_0_14592]) ).
cnf(refute_0_14594,plain,
( or(carry,not(or(cin,and(carry,t5)))) != not(xor(carry,or(cin,and(carry,t5))))
| or(carry,not(or(cin,and(carry,t5)))) != or(carry,not(or(carry,cin)))
| or(carry,not(or(carry,cin))) = not(xor(carry,or(cin,and(carry,t5)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(or(cin,and(carry,t5)))),not(xor(carry,or(cin,and(carry,t5))))) ),[0],$fot(or(carry,not(or(carry,cin))))]]) ).
cnf(refute_0_14595,plain,
( or(carry,not(or(cin,and(carry,t5)))) != not(xor(carry,or(cin,and(carry,t5))))
| or(carry,not(or(carry,cin))) = not(xor(carry,or(cin,and(carry,t5)))) ),
inference(resolve,[$cnf( $equal(or(carry,not(or(cin,and(carry,t5)))),or(carry,not(or(carry,cin)))) )],[refute_0_14593,refute_0_14594]) ).
cnf(refute_0_14596,plain,
not(xor(carry,or(cin,and(carry,t5)))) = not(xor(carry,or(cin,and(carry,t5)))),
introduced(tautology,[refl,[$fot(not(xor(carry,or(cin,and(carry,t5)))))]]) ).
cnf(refute_0_14597,plain,
( not(xor(carry,or(cin,and(carry,t5)))) != not(xor(carry,or(cin,and(carry,t5))))
| xor(carry,or(cin,and(carry,t5))) != xor(carry,or(carry,cin))
| not(xor(carry,or(cin,and(carry,t5)))) = not(xor(carry,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(carry,or(cin,and(carry,t5)))),not(xor(carry,or(cin,and(carry,t5))))) ),[1,0],$fot(xor(carry,or(carry,cin)))]]) ).
cnf(refute_0_14598,plain,
( xor(carry,or(cin,and(carry,t5))) != xor(carry,or(carry,cin))
| not(xor(carry,or(cin,and(carry,t5)))) = not(xor(carry,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(not(xor(carry,or(cin,and(carry,t5)))),not(xor(carry,or(cin,and(carry,t5))))) )],[refute_0_14596,refute_0_14597]) ).
cnf(refute_0_14599,plain,
not(xor(carry,or(cin,and(carry,t5)))) = not(xor(carry,or(carry,cin))),
inference(resolve,[$cnf( $equal(xor(carry,or(cin,and(carry,t5))),xor(carry,or(carry,cin))) )],[refute_0_11768,refute_0_14598]) ).
cnf(refute_0_14600,plain,
( not(xor(carry,or(cin,and(carry,t5)))) != not(xor(carry,or(carry,cin)))
| or(carry,not(or(carry,cin))) != not(xor(carry,or(cin,and(carry,t5))))
| or(carry,not(or(carry,cin))) = not(xor(carry,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(or(carry,cin))),not(xor(carry,or(cin,and(carry,t5))))) ),[1],$fot(not(xor(carry,or(carry,cin))))]]) ).
cnf(refute_0_14601,plain,
( or(carry,not(or(carry,cin))) != not(xor(carry,or(cin,and(carry,t5))))
| or(carry,not(or(carry,cin))) = not(xor(carry,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(not(xor(carry,or(cin,and(carry,t5)))),not(xor(carry,or(carry,cin)))) )],[refute_0_14599,refute_0_14600]) ).
cnf(refute_0_14602,plain,
( or(carry,not(or(cin,and(carry,t5)))) != not(xor(carry,or(cin,and(carry,t5))))
| or(carry,not(or(carry,cin))) = not(xor(carry,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(or(carry,not(or(carry,cin))),not(xor(carry,or(cin,and(carry,t5))))) )],[refute_0_14595,refute_0_14601]) ).
cnf(refute_0_14603,plain,
or(carry,not(or(carry,cin))) = not(xor(carry,or(carry,cin))),
inference(resolve,[$cnf( $equal(or(carry,not(or(cin,and(carry,t5)))),not(xor(carry,or(cin,and(carry,t5))))) )],[refute_0_14585,refute_0_14602]) ).
cnf(refute_0_14604,plain,
( or(carry,not(or(carry,cin))) != not(xor(carry,or(carry,cin)))
| or(carry,not(or(carry,cin))) != or(carry,not(cin))
| not(xor(carry,or(carry,cin))) = or(carry,not(cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(or(carry,cin))),or(carry,not(cin))) ),[0],$fot(not(xor(carry,or(carry,cin))))]]) ).
cnf(refute_0_14605,plain,
( or(carry,not(or(carry,cin))) != or(carry,not(cin))
| not(xor(carry,or(carry,cin))) = or(carry,not(cin)) ),
inference(resolve,[$cnf( $equal(or(carry,not(or(carry,cin))),not(xor(carry,or(carry,cin)))) )],[refute_0_14603,refute_0_14604]) ).
cnf(refute_0_14606,plain,
( not(xor(carry,or(carry,cin))) != or(carry,not(cin))
| or(carry,not(cin)) != or(a,t7)
| not(xor(carry,or(carry,cin))) = or(a,t7) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(carry,or(carry,cin))),or(a,t7)) ),[0],$fot(or(carry,not(cin)))]]) ).
cnf(refute_0_14607,plain,
( not(xor(carry,or(carry,cin))) != or(carry,not(cin))
| not(xor(carry,or(carry,cin))) = or(a,t7) ),
inference(resolve,[$cnf( $equal(or(carry,not(cin)),or(a,t7)) )],[refute_0_4358,refute_0_14606]) ).
cnf(refute_0_14608,plain,
( or(carry,not(or(carry,cin))) != or(carry,not(cin))
| not(xor(carry,or(carry,cin))) = or(a,t7) ),
inference(resolve,[$cnf( $equal(not(xor(carry,or(carry,cin))),or(carry,not(cin))) )],[refute_0_14605,refute_0_14607]) ).
cnf(refute_0_14609,plain,
not(xor(carry,or(carry,cin))) = or(a,t7),
inference(resolve,[$cnf( $equal(or(carry,not(or(carry,cin))),or(carry,not(cin))) )],[refute_0_14574,refute_0_14608]) ).
cnf(refute_0_14610,plain,
and(t5,not(xor(carry,or(carry,cin)))) = and(t5,not(xor(carry,or(carry,cin)))),
introduced(tautology,[refl,[$fot(and(t5,not(xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_14611,plain,
( and(t5,not(xor(carry,or(carry,cin)))) != and(t5,not(xor(carry,or(carry,cin))))
| not(xor(carry,or(carry,cin))) != or(a,t7)
| and(t5,not(xor(carry,or(carry,cin)))) = and(t5,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,not(xor(carry,or(carry,cin)))),and(t5,not(xor(carry,or(carry,cin))))) ),[1,1],$fot(or(a,t7))]]) ).
cnf(refute_0_14612,plain,
( not(xor(carry,or(carry,cin))) != or(a,t7)
| and(t5,not(xor(carry,or(carry,cin)))) = and(t5,or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(carry,or(carry,cin)))),and(t5,not(xor(carry,or(carry,cin))))) )],[refute_0_14610,refute_0_14611]) ).
cnf(refute_0_14613,plain,
and(t5,not(xor(carry,or(carry,cin)))) = and(t5,or(a,t7)),
inference(resolve,[$cnf( $equal(not(xor(carry,or(carry,cin))),or(a,t7)) )],[refute_0_14609,refute_0_14612]) ).
cnf(refute_0_14614,plain,
( and(t5,not(xor(carry,or(carry,cin)))) != and(t5,or(a,t7))
| and(t5,or(a,t7)) != not(and(cin,t1))
| and(t5,not(xor(carry,or(carry,cin)))) = not(and(cin,t1)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t5,not(xor(carry,or(carry,cin)))))),bind(Y0,$fot(and(t5,or(a,t7)))),bind(Z0,$fot(not(and(cin,t1))))]]) ).
cnf(refute_0_14615,plain,
( and(t5,or(a,t7)) != not(and(cin,t1))
| and(t5,not(xor(carry,or(carry,cin)))) = not(and(cin,t1)) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(carry,or(carry,cin)))),and(t5,or(a,t7))) )],[refute_0_14613,refute_0_14614]) ).
cnf(refute_0_14616,plain,
and(t5,not(xor(carry,or(carry,cin)))) = not(and(cin,t1)),
inference(resolve,[$cnf( $equal(and(t5,or(a,t7)),not(and(cin,t1))) )],[refute_0_13779,refute_0_14615]) ).
cnf(refute_0_14617,plain,
( and(t5,not(xor(carry,or(carry,cin)))) != not(and(cin,t1))
| and(t5,not(xor(carry,or(carry,cin)))) != xor(t1,or(carry,cin))
| not(and(cin,t1)) = xor(t1,or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,not(xor(carry,or(carry,cin)))),xor(t1,or(carry,cin))) ),[0],$fot(not(and(cin,t1)))]]) ).
cnf(refute_0_14618,plain,
( and(t5,not(xor(carry,or(carry,cin)))) != xor(t1,or(carry,cin))
| not(and(cin,t1)) = xor(t1,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(carry,or(carry,cin)))),not(and(cin,t1))) )],[refute_0_14616,refute_0_14617]) ).
cnf(refute_0_14619,plain,
not(and(cin,t1)) = xor(t1,or(carry,cin)),
inference(resolve,[$cnf( $equal(and(t5,not(xor(carry,or(carry,cin)))),xor(t1,or(carry,cin))) )],[refute_0_11814,refute_0_14618]) ).
cnf(refute_0_14620,plain,
( not(and(cin,t1)) != xor(t1,or(carry,cin))
| xor(t1,or(carry,cin)) = not(and(cin,t1)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(cin,t1)))),bind(Y0,$fot(xor(t1,or(carry,cin))))]]) ).
cnf(refute_0_14621,plain,
xor(t1,or(carry,cin)) = not(and(cin,t1)),
inference(resolve,[$cnf( $equal(not(and(cin,t1)),xor(t1,or(carry,cin))) )],[refute_0_14619,refute_0_14620]) ).
cnf(refute_0_14622,plain,
( xor(t1,or(carry,cin)) != not(and(cin,t1))
| xor(t1,xor(t1,or(carry,cin))) != or(carry,cin)
| xor(t1,not(and(cin,t1))) = or(carry,cin) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,xor(t1,or(carry,cin))),or(carry,cin)) ),[0,1],$fot(not(and(cin,t1)))]]) ).
cnf(refute_0_14623,plain,
( xor(t1,xor(t1,or(carry,cin))) != or(carry,cin)
| xor(t1,not(and(cin,t1))) = or(carry,cin) ),
inference(resolve,[$cnf( $equal(xor(t1,or(carry,cin)),not(and(cin,t1))) )],[refute_0_14621,refute_0_14622]) ).
cnf(refute_0_14624,plain,
xor(t1,not(and(cin,t1))) = or(carry,cin),
inference(resolve,[$cnf( $equal(xor(t1,xor(t1,or(carry,cin))),or(carry,cin)) )],[refute_0_11652,refute_0_14623]) ).
cnf(refute_0_14625,plain,
xor(t1,not(and(cin,t1))) = not(xor(t1,and(cin,t1))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t1)),bind(X_334,$fot(and(cin,t1)))]]) ).
cnf(refute_0_14626,plain,
( xor(t1,not(and(cin,t1))) != not(xor(t1,and(cin,t1)))
| xor(t1,not(and(cin,t1))) != or(carry,cin)
| not(xor(t1,and(cin,t1))) = or(carry,cin) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,not(and(cin,t1))),or(carry,cin)) ),[0],$fot(not(xor(t1,and(cin,t1))))]]) ).
cnf(refute_0_14627,plain,
( xor(t1,not(and(cin,t1))) != or(carry,cin)
| not(xor(t1,and(cin,t1))) = or(carry,cin) ),
inference(resolve,[$cnf( $equal(xor(t1,not(and(cin,t1))),not(xor(t1,and(cin,t1)))) )],[refute_0_14625,refute_0_14626]) ).
cnf(refute_0_14628,plain,
not(xor(t1,and(cin,t1))) = or(carry,cin),
inference(resolve,[$cnf( $equal(xor(t1,not(and(cin,t1))),or(carry,cin)) )],[refute_0_14624,refute_0_14627]) ).
cnf(refute_0_14629,plain,
xor(carry,xor(t5,and(cin,t1))) = xor(t1,and(cin,t1)),
inference(subst,[],[refute_0_8984:[bind(Z,$fot(and(cin,t1)))]]) ).
cnf(refute_0_14630,plain,
or(and(t5,not(and(cin,t1))),and(not(t5),and(cin,t1))) = xor(t5,and(cin,t1)),
inference(subst,[],[refute_0_9:[bind(X,$fot(t5)),bind(Y,$fot(and(cin,t1)))]]) ).
cnf(refute_0_14631,plain,
and(t5,and(not(xor(carry,or(carry,cin))),t5)) = and(t5,not(xor(carry,or(carry,cin)))),
inference(subst,[],[refute_0_4181:[bind(Y,$fot(not(xor(carry,or(carry,cin))))),bind(X_22,$fot(t5))]]) ).
cnf(refute_0_14632,plain,
( and(t5,and(not(xor(carry,or(carry,cin))),t5)) != and(t5,not(xor(carry,or(carry,cin))))
| and(t5,not(xor(carry,or(carry,cin)))) != xor(t1,or(carry,cin))
| and(t5,and(not(xor(carry,or(carry,cin))),t5)) = xor(t1,or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t5,and(not(xor(carry,or(carry,cin))),t5)),xor(t1,or(carry,cin))) ),[0],$fot(and(t5,not(xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_14633,plain,
( and(t5,and(not(xor(carry,or(carry,cin))),t5)) != and(t5,not(xor(carry,or(carry,cin))))
| and(t5,and(not(xor(carry,or(carry,cin))),t5)) = xor(t1,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(carry,or(carry,cin)))),xor(t1,or(carry,cin))) )],[refute_0_11814,refute_0_14632]) ).
cnf(refute_0_14634,plain,
and(t5,and(not(xor(carry,or(carry,cin))),t5)) = xor(t1,or(carry,cin)),
inference(resolve,[$cnf( $equal(and(t5,and(not(xor(carry,or(carry,cin))),t5)),and(t5,not(xor(carry,or(carry,cin))))) )],[refute_0_14631,refute_0_14633]) ).
cnf(refute_0_14635,plain,
and(xor(t1,or(carry,cin)),t5) = and(t5,xor(t1,or(carry,cin))),
inference(subst,[],[refute_0_116:[bind(X,$fot(t5)),bind(Y,$fot(xor(t1,or(carry,cin))))]]) ).
cnf(refute_0_14636,plain,
and(and(t5,not(xor(carry,or(carry,cin)))),Z) = and(t5,and(not(xor(carry,or(carry,cin))),Z)),
inference(subst,[],[and_associative:[bind(X,$fot(t5)),bind(Y,$fot(not(xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_14637,plain,
( and(and(t5,not(xor(carry,or(carry,cin)))),Z) != and(t5,and(not(xor(carry,or(carry,cin))),Z))
| and(t5,not(xor(carry,or(carry,cin)))) != xor(t1,or(carry,cin))
| and(xor(t1,or(carry,cin)),Z) = and(t5,and(not(xor(carry,or(carry,cin))),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t5,not(xor(carry,or(carry,cin)))),Z),and(t5,and(not(xor(carry,or(carry,cin))),Z))) ),[0,0],$fot(xor(t1,or(carry,cin)))]]) ).
cnf(refute_0_14638,plain,
( and(and(t5,not(xor(carry,or(carry,cin)))),Z) != and(t5,and(not(xor(carry,or(carry,cin))),Z))
| and(xor(t1,or(carry,cin)),Z) = and(t5,and(not(xor(carry,or(carry,cin))),Z)) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(carry,or(carry,cin)))),xor(t1,or(carry,cin))) )],[refute_0_11814,refute_0_14637]) ).
cnf(refute_0_14639,plain,
and(xor(t1,or(carry,cin)),Z) = and(t5,and(not(xor(carry,or(carry,cin))),Z)),
inference(resolve,[$cnf( $equal(and(and(t5,not(xor(carry,or(carry,cin)))),Z),and(t5,and(not(xor(carry,or(carry,cin))),Z))) )],[refute_0_14636,refute_0_14638]) ).
cnf(refute_0_14640,plain,
( and(xor(t1,or(carry,cin)),Z) != and(t5,and(not(xor(carry,or(carry,cin))),Z))
| and(t5,and(not(xor(carry,or(carry,cin))),Z)) = and(xor(t1,or(carry,cin)),Z) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(xor(t1,or(carry,cin)),Z))),bind(Y0,$fot(and(t5,and(not(xor(carry,or(carry,cin))),Z))))]]) ).
cnf(refute_0_14641,plain,
and(t5,and(not(xor(carry,or(carry,cin))),Z)) = and(xor(t1,or(carry,cin)),Z),
inference(resolve,[$cnf( $equal(and(xor(t1,or(carry,cin)),Z),and(t5,and(not(xor(carry,or(carry,cin))),Z))) )],[refute_0_14639,refute_0_14640]) ).
cnf(refute_0_14642,plain,
and(t5,and(not(xor(carry,or(carry,cin))),t5)) = and(xor(t1,or(carry,cin)),t5),
inference(subst,[],[refute_0_14641:[bind(Z,$fot(t5))]]) ).
cnf(refute_0_14643,plain,
( and(t5,and(not(xor(carry,or(carry,cin))),t5)) != and(xor(t1,or(carry,cin)),t5)
| and(xor(t1,or(carry,cin)),t5) != and(t5,xor(t1,or(carry,cin)))
| and(t5,and(not(xor(carry,or(carry,cin))),t5)) = and(t5,xor(t1,or(carry,cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t5,and(not(xor(carry,or(carry,cin))),t5)))),bind(Y0,$fot(and(xor(t1,or(carry,cin)),t5))),bind(Z0,$fot(and(t5,xor(t1,or(carry,cin)))))]]) ).
cnf(refute_0_14644,plain,
( and(xor(t1,or(carry,cin)),t5) != and(t5,xor(t1,or(carry,cin)))
| and(t5,and(not(xor(carry,or(carry,cin))),t5)) = and(t5,xor(t1,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(t5,and(not(xor(carry,or(carry,cin))),t5)),and(xor(t1,or(carry,cin)),t5)) )],[refute_0_14642,refute_0_14643]) ).
cnf(refute_0_14645,plain,
and(t5,and(not(xor(carry,or(carry,cin))),t5)) = and(t5,xor(t1,or(carry,cin))),
inference(resolve,[$cnf( $equal(and(xor(t1,or(carry,cin)),t5),and(t5,xor(t1,or(carry,cin)))) )],[refute_0_14635,refute_0_14644]) ).
cnf(refute_0_14646,plain,
( and(t5,and(not(xor(carry,or(carry,cin))),t5)) != and(t5,xor(t1,or(carry,cin)))
| and(t5,and(not(xor(carry,or(carry,cin))),t5)) != xor(t1,or(carry,cin))
| and(t5,xor(t1,or(carry,cin))) = xor(t1,or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,and(not(xor(carry,or(carry,cin))),t5)),xor(t1,or(carry,cin))) ),[0],$fot(and(t5,xor(t1,or(carry,cin))))]]) ).
cnf(refute_0_14647,plain,
( and(t5,and(not(xor(carry,or(carry,cin))),t5)) != xor(t1,or(carry,cin))
| and(t5,xor(t1,or(carry,cin))) = xor(t1,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(and(t5,and(not(xor(carry,or(carry,cin))),t5)),and(t5,xor(t1,or(carry,cin)))) )],[refute_0_14645,refute_0_14646]) ).
cnf(refute_0_14648,plain,
and(t5,xor(t1,or(carry,cin))) = xor(t1,or(carry,cin)),
inference(resolve,[$cnf( $equal(and(t5,and(not(xor(carry,or(carry,cin))),t5)),xor(t1,or(carry,cin))) )],[refute_0_14634,refute_0_14647]) ).
cnf(refute_0_14649,plain,
and(t5,xor(t1,or(carry,cin))) = and(t5,xor(t1,or(carry,cin))),
introduced(tautology,[refl,[$fot(and(t5,xor(t1,or(carry,cin))))]]) ).
cnf(refute_0_14650,plain,
( and(t5,xor(t1,or(carry,cin))) != and(t5,xor(t1,or(carry,cin)))
| xor(t1,or(carry,cin)) != not(and(cin,t1))
| and(t5,xor(t1,or(carry,cin))) = and(t5,not(and(cin,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,xor(t1,or(carry,cin))),and(t5,xor(t1,or(carry,cin)))) ),[1,1],$fot(not(and(cin,t1)))]]) ).
cnf(refute_0_14651,plain,
( xor(t1,or(carry,cin)) != not(and(cin,t1))
| and(t5,xor(t1,or(carry,cin))) = and(t5,not(and(cin,t1))) ),
inference(resolve,[$cnf( $equal(and(t5,xor(t1,or(carry,cin))),and(t5,xor(t1,or(carry,cin)))) )],[refute_0_14649,refute_0_14650]) ).
cnf(refute_0_14652,plain,
and(t5,xor(t1,or(carry,cin))) = and(t5,not(and(cin,t1))),
inference(resolve,[$cnf( $equal(xor(t1,or(carry,cin)),not(and(cin,t1))) )],[refute_0_14621,refute_0_14651]) ).
cnf(refute_0_14653,plain,
( and(t5,xor(t1,or(carry,cin))) != and(t5,not(and(cin,t1)))
| and(t5,xor(t1,or(carry,cin))) != xor(t1,or(carry,cin))
| and(t5,not(and(cin,t1))) = xor(t1,or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,xor(t1,or(carry,cin))),xor(t1,or(carry,cin))) ),[0],$fot(and(t5,not(and(cin,t1))))]]) ).
cnf(refute_0_14654,plain,
( and(t5,xor(t1,or(carry,cin))) != xor(t1,or(carry,cin))
| and(t5,not(and(cin,t1))) = xor(t1,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(and(t5,xor(t1,or(carry,cin))),and(t5,not(and(cin,t1)))) )],[refute_0_14652,refute_0_14653]) ).
cnf(refute_0_14655,plain,
( and(t5,not(and(cin,t1))) != xor(t1,or(carry,cin))
| xor(t1,or(carry,cin)) != not(and(cin,t1))
| and(t5,not(and(cin,t1))) = not(and(cin,t1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t5,not(and(cin,t1))),not(and(cin,t1))) ),[0],$fot(xor(t1,or(carry,cin)))]]) ).
cnf(refute_0_14656,plain,
( and(t5,not(and(cin,t1))) != xor(t1,or(carry,cin))
| and(t5,not(and(cin,t1))) = not(and(cin,t1)) ),
inference(resolve,[$cnf( $equal(xor(t1,or(carry,cin)),not(and(cin,t1))) )],[refute_0_14621,refute_0_14655]) ).
cnf(refute_0_14657,plain,
( and(t5,xor(t1,or(carry,cin))) != xor(t1,or(carry,cin))
| and(t5,not(and(cin,t1))) = not(and(cin,t1)) ),
inference(resolve,[$cnf( $equal(and(t5,not(and(cin,t1))),xor(t1,or(carry,cin))) )],[refute_0_14654,refute_0_14656]) ).
cnf(refute_0_14658,plain,
and(t5,not(and(cin,t1))) = not(and(cin,t1)),
inference(resolve,[$cnf( $equal(and(t5,xor(t1,or(carry,cin))),xor(t1,or(carry,cin))) )],[refute_0_14648,refute_0_14657]) ).
cnf(refute_0_14659,plain,
( and(t5,not(and(cin,t1))) != not(and(cin,t1))
| or(and(t5,not(and(cin,t1))),and(not(t5),and(cin,t1))) != xor(t5,and(cin,t1))
| or(not(and(cin,t1)),and(not(t5),and(cin,t1))) = xor(t5,and(cin,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t5,not(and(cin,t1))),and(not(t5),and(cin,t1))),xor(t5,and(cin,t1))) ),[0,0],$fot(not(and(cin,t1)))]]) ).
cnf(refute_0_14660,plain,
( or(and(t5,not(and(cin,t1))),and(not(t5),and(cin,t1))) != xor(t5,and(cin,t1))
| or(not(and(cin,t1)),and(not(t5),and(cin,t1))) = xor(t5,and(cin,t1)) ),
inference(resolve,[$cnf( $equal(and(t5,not(and(cin,t1))),not(and(cin,t1))) )],[refute_0_14658,refute_0_14659]) ).
cnf(refute_0_14661,plain,
or(not(and(cin,t1)),and(not(t5),and(cin,t1))) = xor(t5,and(cin,t1)),
inference(resolve,[$cnf( $equal(or(and(t5,not(and(cin,t1))),and(not(t5),and(cin,t1))),xor(t5,and(cin,t1))) )],[refute_0_14630,refute_0_14660]) ).
cnf(refute_0_14662,plain,
and(cin,and(t1,t5)) = and(cin,and(t1,t5)),
introduced(tautology,[refl,[$fot(and(cin,and(t1,t5)))]]) ).
cnf(refute_0_14663,plain,
( and(cin,and(t1,t5)) != and(cin,and(t1,t5))
| and(t1,t5) != not(carry)
| and(cin,and(t1,t5)) = and(cin,not(carry)) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,and(t1,t5)),and(cin,and(t1,t5))) ),[1,1],$fot(not(carry))]]) ).
cnf(refute_0_14664,plain,
( and(t1,t5) != not(carry)
| and(cin,and(t1,t5)) = and(cin,not(carry)) ),
inference(resolve,[$cnf( $equal(and(cin,and(t1,t5)),and(cin,and(t1,t5))) )],[refute_0_14662,refute_0_14663]) ).
cnf(refute_0_14665,plain,
and(cin,and(t1,t5)) = and(cin,not(carry)),
inference(resolve,[$cnf( $equal(and(t1,t5),not(carry)) )],[refute_0_175,refute_0_14664]) ).
cnf(refute_0_14666,plain,
( and(cin,and(t1,t5)) != and(cin,not(carry))
| and(cin,not(carry)) != not(or(a,t7))
| and(cin,and(t1,t5)) = not(or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(cin,and(t1,t5)))),bind(Y0,$fot(and(cin,not(carry)))),bind(Z0,$fot(not(or(a,t7))))]]) ).
cnf(refute_0_14667,plain,
( and(cin,not(carry)) != not(or(a,t7))
| and(cin,and(t1,t5)) = not(or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(cin,and(t1,t5)),and(cin,not(carry))) )],[refute_0_14665,refute_0_14666]) ).
cnf(refute_0_14668,plain,
and(cin,and(t1,t5)) = not(or(a,t7)),
inference(resolve,[$cnf( $equal(and(cin,not(carry)),not(or(a,t7))) )],[refute_0_4166,refute_0_14667]) ).
cnf(refute_0_14669,plain,
and(cin,and(t5,t1)) = and(cin,and(t1,t5)),
inference(subst,[],[refute_0_2637:[bind(X_220,$fot(cin)),bind(X_221,$fot(t1)),bind(X_222,$fot(t5))]]) ).
cnf(refute_0_14670,plain,
and(t5,and(cin,t1)) = and(cin,and(t5,t1)),
inference(subst,[],[refute_0_4220:[bind(X,$fot(cin)),bind(Z,$fot(t1)),bind(X_669,$fot(t5))]]) ).
cnf(refute_0_14671,plain,
( and(cin,and(t5,t1)) != and(cin,and(t1,t5))
| and(t5,and(cin,t1)) != and(cin,and(t5,t1))
| and(t5,and(cin,t1)) = and(cin,and(t1,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t5,and(cin,t1)))),bind(Y0,$fot(and(cin,and(t5,t1)))),bind(Z0,$fot(and(cin,and(t1,t5))))]]) ).
cnf(refute_0_14672,plain,
( and(cin,and(t5,t1)) != and(cin,and(t1,t5))
| and(t5,and(cin,t1)) = and(cin,and(t1,t5)) ),
inference(resolve,[$cnf( $equal(and(t5,and(cin,t1)),and(cin,and(t5,t1))) )],[refute_0_14670,refute_0_14671]) ).
cnf(refute_0_14673,plain,
and(t5,and(cin,t1)) = and(cin,and(t1,t5)),
inference(resolve,[$cnf( $equal(and(cin,and(t5,t1)),and(cin,and(t1,t5))) )],[refute_0_14669,refute_0_14672]) ).
cnf(refute_0_14674,plain,
and(and(cin,t1),t5) = and(t5,and(cin,t1)),
inference(subst,[],[refute_0_4252:[bind(X_14,$fot(t5)),bind(X_669,$fot(and(cin,t1)))]]) ).
cnf(refute_0_14675,plain,
( and(and(cin,t1),t5) != and(t5,and(cin,t1))
| and(t5,and(cin,t1)) != and(cin,and(t1,t5))
| and(and(cin,t1),t5) = and(cin,and(t1,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(cin,t1),t5))),bind(Y0,$fot(and(t5,and(cin,t1)))),bind(Z0,$fot(and(cin,and(t1,t5))))]]) ).
cnf(refute_0_14676,plain,
( and(t5,and(cin,t1)) != and(cin,and(t1,t5))
| and(and(cin,t1),t5) = and(cin,and(t1,t5)) ),
inference(resolve,[$cnf( $equal(and(and(cin,t1),t5),and(t5,and(cin,t1))) )],[refute_0_14674,refute_0_14675]) ).
cnf(refute_0_14677,plain,
and(and(cin,t1),t5) = and(cin,and(t1,t5)),
inference(resolve,[$cnf( $equal(and(t5,and(cin,t1)),and(cin,and(t1,t5))) )],[refute_0_14673,refute_0_14676]) ).
cnf(refute_0_14678,plain,
and(X_752,or(X_753,not(X_752))) = or(and(X_752,X_753),and(X_752,not(X_752))),
inference(subst,[],[or_distributive:[bind(X,$fot(X_752)),bind(Y,$fot(X_753)),bind(Z,$fot(not(X_752)))]]) ).
cnf(refute_0_14679,plain,
and(X_752,not(X_752)) = ll0,
inference(subst,[],[and_complement:[bind(X,$fot(X_752))]]) ).
cnf(refute_0_14680,plain,
( and(X_752,not(X_752)) != ll0
| and(X_752,or(X_753,not(X_752))) != or(and(X_752,X_753),and(X_752,not(X_752)))
| and(X_752,or(X_753,not(X_752))) = or(and(X_752,X_753),ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(X_752,or(X_753,not(X_752))),or(and(X_752,X_753),and(X_752,not(X_752)))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_14681,plain,
( and(X_752,or(X_753,not(X_752))) != or(and(X_752,X_753),and(X_752,not(X_752)))
| and(X_752,or(X_753,not(X_752))) = or(and(X_752,X_753),ll0) ),
inference(resolve,[$cnf( $equal(and(X_752,not(X_752)),ll0) )],[refute_0_14679,refute_0_14680]) ).
cnf(refute_0_14682,plain,
and(X_752,or(X_753,not(X_752))) = or(and(X_752,X_753),ll0),
inference(resolve,[$cnf( $equal(and(X_752,or(X_753,not(X_752))),or(and(X_752,X_753),and(X_752,not(X_752)))) )],[refute_0_14678,refute_0_14681]) ).
cnf(refute_0_14683,plain,
or(and(X_752,X_753),ll0) = and(X_752,X_753),
inference(subst,[],[or_identity:[bind(X,$fot(and(X_752,X_753)))]]) ).
cnf(refute_0_14684,plain,
( and(X_752,or(X_753,not(X_752))) != or(and(X_752,X_753),ll0)
| or(and(X_752,X_753),ll0) != and(X_752,X_753)
| and(X_752,or(X_753,not(X_752))) = and(X_752,X_753) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(X_752,or(X_753,not(X_752))),and(X_752,X_753)) ),[0],$fot(or(and(X_752,X_753),ll0))]]) ).
cnf(refute_0_14685,plain,
( and(X_752,or(X_753,not(X_752))) != or(and(X_752,X_753),ll0)
| and(X_752,or(X_753,not(X_752))) = and(X_752,X_753) ),
inference(resolve,[$cnf( $equal(or(and(X_752,X_753),ll0),and(X_752,X_753)) )],[refute_0_14683,refute_0_14684]) ).
cnf(refute_0_14686,plain,
and(X_752,or(X_753,not(X_752))) = and(X_752,X_753),
inference(resolve,[$cnf( $equal(and(X_752,or(X_753,not(X_752))),or(and(X_752,X_753),ll0)) )],[refute_0_14682,refute_0_14685]) ).
cnf(refute_0_14687,plain,
and(and(cin,t1),or(t5,not(and(cin,t1)))) = and(and(cin,t1),t5),
inference(subst,[],[refute_0_14686:[bind(X_752,$fot(and(cin,t1))),bind(X_753,$fot(t5))]]) ).
cnf(refute_0_14688,plain,
( and(and(cin,t1),or(t5,not(and(cin,t1)))) != and(and(cin,t1),t5)
| and(and(cin,t1),t5) != and(cin,and(t1,t5))
| and(and(cin,t1),or(t5,not(and(cin,t1)))) = and(cin,and(t1,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(cin,t1),or(t5,not(and(cin,t1)))))),bind(Y0,$fot(and(and(cin,t1),t5))),bind(Z0,$fot(and(cin,and(t1,t5))))]]) ).
cnf(refute_0_14689,plain,
( and(and(cin,t1),t5) != and(cin,and(t1,t5))
| and(and(cin,t1),or(t5,not(and(cin,t1)))) = and(cin,and(t1,t5)) ),
inference(resolve,[$cnf( $equal(and(and(cin,t1),or(t5,not(and(cin,t1)))),and(and(cin,t1),t5)) )],[refute_0_14687,refute_0_14688]) ).
cnf(refute_0_14690,plain,
and(and(cin,t1),or(t5,not(and(cin,t1)))) = and(cin,and(t1,t5)),
inference(resolve,[$cnf( $equal(and(and(cin,t1),t5),and(cin,and(t1,t5))) )],[refute_0_14677,refute_0_14689]) ).
cnf(refute_0_14691,plain,
( and(and(cin,t1),or(t5,not(and(cin,t1)))) != and(cin,and(t1,t5))
| and(cin,and(t1,t5)) != not(or(a,t7))
| and(and(cin,t1),or(t5,not(and(cin,t1)))) = not(or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(cin,t1),or(t5,not(and(cin,t1)))))),bind(Y0,$fot(and(cin,and(t1,t5)))),bind(Z0,$fot(not(or(a,t7))))]]) ).
cnf(refute_0_14692,plain,
( and(cin,and(t1,t5)) != not(or(a,t7))
| and(and(cin,t1),or(t5,not(and(cin,t1)))) = not(or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(and(cin,t1),or(t5,not(and(cin,t1)))),and(cin,and(t1,t5))) )],[refute_0_14690,refute_0_14691]) ).
cnf(refute_0_14693,plain,
and(and(cin,t1),or(t5,not(and(cin,t1)))) = not(or(a,t7)),
inference(resolve,[$cnf( $equal(and(cin,and(t1,t5)),not(or(a,t7))) )],[refute_0_14668,refute_0_14692]) ).
cnf(refute_0_14694,plain,
not(and(and(cin,t1),or(t5,not(and(cin,t1))))) = not(and(and(cin,t1),or(t5,not(and(cin,t1))))),
introduced(tautology,[refl,[$fot(not(and(and(cin,t1),or(t5,not(and(cin,t1))))))]]) ).
cnf(refute_0_14695,plain,
( and(and(cin,t1),or(t5,not(and(cin,t1)))) != not(or(a,t7))
| not(and(and(cin,t1),or(t5,not(and(cin,t1))))) != not(and(and(cin,t1),or(t5,not(and(cin,t1)))))
| not(and(and(cin,t1),or(t5,not(and(cin,t1))))) = not(not(or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(cin,t1),or(t5,not(and(cin,t1))))),not(and(and(cin,t1),or(t5,not(and(cin,t1)))))) ),[1,0],$fot(not(or(a,t7)))]]) ).
cnf(refute_0_14696,plain,
( and(and(cin,t1),or(t5,not(and(cin,t1)))) != not(or(a,t7))
| not(and(and(cin,t1),or(t5,not(and(cin,t1))))) = not(not(or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(and(and(cin,t1),or(t5,not(and(cin,t1))))),not(and(and(cin,t1),or(t5,not(and(cin,t1)))))) )],[refute_0_14694,refute_0_14695]) ).
cnf(refute_0_14697,plain,
not(and(and(cin,t1),or(t5,not(and(cin,t1))))) = not(not(or(a,t7))),
inference(resolve,[$cnf( $equal(and(and(cin,t1),or(t5,not(and(cin,t1)))),not(or(a,t7))) )],[refute_0_14693,refute_0_14696]) ).
cnf(refute_0_14698,plain,
( not(and(and(cin,t1),or(t5,not(and(cin,t1))))) != not(not(or(a,t7)))
| not(not(or(a,t7))) != or(a,t7)
| not(and(and(cin,t1),or(t5,not(and(cin,t1))))) = or(a,t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(and(cin,t1),or(t5,not(and(cin,t1))))))),bind(Y0,$fot(not(not(or(a,t7))))),bind(Z0,$fot(or(a,t7)))]]) ).
cnf(refute_0_14699,plain,
( not(not(or(a,t7))) != or(a,t7)
| not(and(and(cin,t1),or(t5,not(and(cin,t1))))) = or(a,t7) ),
inference(resolve,[$cnf( $equal(not(and(and(cin,t1),or(t5,not(and(cin,t1))))),not(not(or(a,t7)))) )],[refute_0_14697,refute_0_14698]) ).
cnf(refute_0_14700,plain,
not(and(and(cin,t1),or(t5,not(and(cin,t1))))) = or(a,t7),
inference(resolve,[$cnf( $equal(not(not(or(a,t7))),or(a,t7)) )],[refute_0_2739,refute_0_14699]) ).
cnf(refute_0_14701,plain,
or(not(and(cin,t1)),and(not(t5),and(cin,t1))) = not(and(and(cin,t1),or(t5,not(and(cin,t1))))),
inference(subst,[],[refute_0_1337:[bind(X,$fot(and(cin,t1))),bind(X_78,$fot(and(cin,t1))),bind(X_79,$fot(t5))]]) ).
cnf(refute_0_14702,plain,
( not(and(and(cin,t1),or(t5,not(and(cin,t1))))) != or(a,t7)
| or(not(and(cin,t1)),and(not(t5),and(cin,t1))) != not(and(and(cin,t1),or(t5,not(and(cin,t1)))))
| or(not(and(cin,t1)),and(not(t5),and(cin,t1))) = or(a,t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(and(cin,t1)),and(not(t5),and(cin,t1))))),bind(Y0,$fot(not(and(and(cin,t1),or(t5,not(and(cin,t1))))))),bind(Z0,$fot(or(a,t7)))]]) ).
cnf(refute_0_14703,plain,
( not(and(and(cin,t1),or(t5,not(and(cin,t1))))) != or(a,t7)
| or(not(and(cin,t1)),and(not(t5),and(cin,t1))) = or(a,t7) ),
inference(resolve,[$cnf( $equal(or(not(and(cin,t1)),and(not(t5),and(cin,t1))),not(and(and(cin,t1),or(t5,not(and(cin,t1)))))) )],[refute_0_14701,refute_0_14702]) ).
cnf(refute_0_14704,plain,
or(not(and(cin,t1)),and(not(t5),and(cin,t1))) = or(a,t7),
inference(resolve,[$cnf( $equal(not(and(and(cin,t1),or(t5,not(and(cin,t1))))),or(a,t7)) )],[refute_0_14700,refute_0_14703]) ).
cnf(refute_0_14705,plain,
( or(not(and(cin,t1)),and(not(t5),and(cin,t1))) != or(a,t7)
| or(not(and(cin,t1)),and(not(t5),and(cin,t1))) != xor(t5,and(cin,t1))
| or(a,t7) = xor(t5,and(cin,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(and(cin,t1)),and(not(t5),and(cin,t1))),xor(t5,and(cin,t1))) ),[0],$fot(or(a,t7))]]) ).
cnf(refute_0_14706,plain,
( or(not(and(cin,t1)),and(not(t5),and(cin,t1))) != xor(t5,and(cin,t1))
| or(a,t7) = xor(t5,and(cin,t1)) ),
inference(resolve,[$cnf( $equal(or(not(and(cin,t1)),and(not(t5),and(cin,t1))),or(a,t7)) )],[refute_0_14704,refute_0_14705]) ).
cnf(refute_0_14707,plain,
or(a,t7) = xor(t5,and(cin,t1)),
inference(resolve,[$cnf( $equal(or(not(and(cin,t1)),and(not(t5),and(cin,t1))),xor(t5,and(cin,t1))) )],[refute_0_14661,refute_0_14706]) ).
cnf(refute_0_14708,plain,
( or(a,t7) != xor(t5,and(cin,t1))
| xor(t5,and(cin,t1)) = or(a,t7) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(a,t7))),bind(Y0,$fot(xor(t5,and(cin,t1))))]]) ).
cnf(refute_0_14709,plain,
xor(t5,and(cin,t1)) = or(a,t7),
inference(resolve,[$cnf( $equal(or(a,t7),xor(t5,and(cin,t1))) )],[refute_0_14707,refute_0_14708]) ).
cnf(refute_0_14710,plain,
( xor(carry,xor(t5,and(cin,t1))) != xor(t1,and(cin,t1))
| xor(t5,and(cin,t1)) != or(a,t7)
| xor(carry,or(a,t7)) = xor(t1,and(cin,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(t5,and(cin,t1))),xor(t1,and(cin,t1))) ),[0,1],$fot(or(a,t7))]]) ).
cnf(refute_0_14711,plain,
( xor(carry,xor(t5,and(cin,t1))) != xor(t1,and(cin,t1))
| xor(carry,or(a,t7)) = xor(t1,and(cin,t1)) ),
inference(resolve,[$cnf( $equal(xor(t5,and(cin,t1)),or(a,t7)) )],[refute_0_14709,refute_0_14710]) ).
cnf(refute_0_14712,plain,
xor(carry,or(a,t7)) = xor(t1,and(cin,t1)),
inference(resolve,[$cnf( $equal(xor(carry,xor(t5,and(cin,t1))),xor(t1,and(cin,t1))) )],[refute_0_14629,refute_0_14711]) ).
cnf(refute_0_14713,plain,
( xor(carry,or(a,t7)) != xor(t1,and(cin,t1))
| xor(t1,and(cin,t1)) = xor(carry,or(a,t7)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(carry,or(a,t7)))),bind(Y0,$fot(xor(t1,and(cin,t1))))]]) ).
cnf(refute_0_14714,plain,
xor(t1,and(cin,t1)) = xor(carry,or(a,t7)),
inference(resolve,[$cnf( $equal(xor(carry,or(a,t7)),xor(t1,and(cin,t1))) )],[refute_0_14712,refute_0_14713]) ).
cnf(refute_0_14715,plain,
not(xor(t1,and(cin,t1))) = not(xor(t1,and(cin,t1))),
introduced(tautology,[refl,[$fot(not(xor(t1,and(cin,t1))))]]) ).
cnf(refute_0_14716,plain,
( not(xor(t1,and(cin,t1))) != not(xor(t1,and(cin,t1)))
| xor(t1,and(cin,t1)) != xor(carry,or(a,t7))
| not(xor(t1,and(cin,t1))) = not(xor(carry,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t1,and(cin,t1))),not(xor(t1,and(cin,t1)))) ),[1,0],$fot(xor(carry,or(a,t7)))]]) ).
cnf(refute_0_14717,plain,
( xor(t1,and(cin,t1)) != xor(carry,or(a,t7))
| not(xor(t1,and(cin,t1))) = not(xor(carry,or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(xor(t1,and(cin,t1))),not(xor(t1,and(cin,t1)))) )],[refute_0_14715,refute_0_14716]) ).
cnf(refute_0_14718,plain,
not(xor(t1,and(cin,t1))) = not(xor(carry,or(a,t7))),
inference(resolve,[$cnf( $equal(xor(t1,and(cin,t1)),xor(carry,or(a,t7))) )],[refute_0_14714,refute_0_14717]) ).
cnf(refute_0_14719,plain,
( not(xor(t1,and(cin,t1))) != not(xor(carry,or(a,t7)))
| not(xor(t1,and(cin,t1))) != or(carry,cin)
| not(xor(carry,or(a,t7))) = or(carry,cin) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t1,and(cin,t1))),or(carry,cin)) ),[0],$fot(not(xor(carry,or(a,t7))))]]) ).
cnf(refute_0_14720,plain,
( not(xor(t1,and(cin,t1))) != or(carry,cin)
| not(xor(carry,or(a,t7))) = or(carry,cin) ),
inference(resolve,[$cnf( $equal(not(xor(t1,and(cin,t1))),not(xor(carry,or(a,t7)))) )],[refute_0_14718,refute_0_14719]) ).
cnf(refute_0_14721,plain,
not(xor(carry,or(a,t7))) = or(carry,cin),
inference(resolve,[$cnf( $equal(not(xor(t1,and(cin,t1))),or(carry,cin)) )],[refute_0_14628,refute_0_14720]) ).
cnf(refute_0_14722,plain,
( not(xor(carry,or(a,t7))) != or(carry,cin)
| xor(and(sum,t1),or(a,b)) != not(xor(carry,or(a,t7)))
| xor(and(sum,t1),or(a,b)) = or(carry,cin) ),
introduced(tautology,[equality,[$cnf( $equal(xor(and(sum,t1),or(a,b)),not(xor(carry,or(a,t7)))) ),[1],$fot(or(carry,cin))]]) ).
cnf(refute_0_14723,plain,
( xor(and(sum,t1),or(a,b)) != not(xor(carry,or(a,t7)))
| xor(and(sum,t1),or(a,b)) = or(carry,cin) ),
inference(resolve,[$cnf( $equal(not(xor(carry,or(a,t7))),or(carry,cin)) )],[refute_0_14721,refute_0_14722]) ).
cnf(refute_0_14724,plain,
xor(and(sum,t1),or(a,b)) = or(carry,cin),
inference(resolve,[$cnf( $equal(xor(and(sum,t1),or(a,b)),not(xor(carry,or(a,t7)))) )],[refute_0_11651,refute_0_14723]) ).
cnf(refute_0_14725,plain,
( not(xor(and(sum,t1),or(a,b))) != xor(and(sum,t1),not(or(a,b)))
| xor(and(sum,t1),or(a,b)) != or(carry,cin)
| not(or(carry,cin)) = xor(and(sum,t1),not(or(a,b))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(and(sum,t1),or(a,b))),xor(and(sum,t1),not(or(a,b)))) ),[0,0],$fot(or(carry,cin))]]) ).
cnf(refute_0_14726,plain,
( not(xor(and(sum,t1),or(a,b))) != xor(and(sum,t1),not(or(a,b)))
| not(or(carry,cin)) = xor(and(sum,t1),not(or(a,b))) ),
inference(resolve,[$cnf( $equal(xor(and(sum,t1),or(a,b)),or(carry,cin)) )],[refute_0_14724,refute_0_14725]) ).
cnf(refute_0_14727,plain,
not(or(carry,cin)) = xor(and(sum,t1),not(or(a,b))),
inference(resolve,[$cnf( $equal(not(xor(and(sum,t1),or(a,b))),xor(and(sum,t1),not(or(a,b)))) )],[refute_0_4452,refute_0_14726]) ).
cnf(refute_0_14728,plain,
xor(a,xor(t3,xor(t7,and(t6,or(t1,t7))))) = xor(carry,xor(sum,and(t6,or(t1,t7)))),
inference(subst,[],[refute_0_4908:[bind(Z,$fot(and(t6,or(t1,t7))))]]) ).
cnf(refute_0_14729,plain,
( xor(a,xor(t3,xor(t7,and(t6,or(t1,t7))))) != xor(carry,xor(sum,and(t6,or(t1,t7))))
| xor(t7,and(t6,or(t1,t7))) != and(sum,t1)
| xor(a,xor(t3,and(sum,t1))) = xor(carry,xor(sum,and(t6,or(t1,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t3,xor(t7,and(t6,or(t1,t7))))),xor(carry,xor(sum,and(t6,or(t1,t7))))) ),[0,1,1],$fot(and(sum,t1))]]) ).
cnf(refute_0_14730,plain,
( xor(a,xor(t3,xor(t7,and(t6,or(t1,t7))))) != xor(carry,xor(sum,and(t6,or(t1,t7))))
| xor(a,xor(t3,and(sum,t1))) = xor(carry,xor(sum,and(t6,or(t1,t7)))) ),
inference(resolve,[$cnf( $equal(xor(t7,and(t6,or(t1,t7))),and(sum,t1)) )],[refute_0_11965,refute_0_14729]) ).
cnf(refute_0_14731,plain,
xor(a,xor(t3,and(sum,t1))) = xor(carry,xor(sum,and(t6,or(t1,t7)))),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,xor(t7,and(t6,or(t1,t7))))),xor(carry,xor(sum,and(t6,or(t1,t7))))) )],[refute_0_14728,refute_0_14730]) ).
cnf(refute_0_14732,plain,
xor(sum,and(t6,or(t7,not(carry)))) = xor(sum,and(t6,or(t7,not(carry)))),
introduced(tautology,[refl,[$fot(xor(sum,and(t6,or(t7,not(carry)))))]]) ).
cnf(refute_0_14733,plain,
( and(t6,or(t7,not(carry))) != and(t6,or(t1,t7))
| xor(sum,and(t6,or(t7,not(carry)))) != xor(sum,and(t6,or(t7,not(carry))))
| xor(sum,and(t6,or(t7,not(carry)))) = xor(sum,and(t6,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,and(t6,or(t7,not(carry)))),xor(sum,and(t6,or(t7,not(carry))))) ),[1,1],$fot(and(t6,or(t1,t7)))]]) ).
cnf(refute_0_14734,plain,
( and(t6,or(t7,not(carry))) != and(t6,or(t1,t7))
| xor(sum,and(t6,or(t7,not(carry)))) = xor(sum,and(t6,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(xor(sum,and(t6,or(t7,not(carry)))),xor(sum,and(t6,or(t7,not(carry))))) )],[refute_0_14732,refute_0_14733]) ).
cnf(refute_0_14735,plain,
xor(sum,and(t6,or(t7,not(carry)))) = xor(sum,and(t6,or(t1,t7))),
inference(resolve,[$cnf( $equal(and(t6,or(t7,not(carry))),and(t6,or(t1,t7))) )],[refute_0_11955,refute_0_14734]) ).
cnf(refute_0_14736,plain,
( xor(sum,and(t6,or(t7,not(carry)))) != or(t7,and(carry,not(t7)))
| xor(sum,and(t6,or(t7,not(carry)))) != xor(sum,and(t6,or(t1,t7)))
| xor(sum,and(t6,or(t1,t7))) = or(t7,and(carry,not(t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,and(t6,or(t7,not(carry)))),or(t7,and(carry,not(t7)))) ),[0],$fot(xor(sum,and(t6,or(t1,t7))))]]) ).
cnf(refute_0_14737,plain,
( xor(sum,and(t6,or(t7,not(carry)))) != or(t7,and(carry,not(t7)))
| xor(sum,and(t6,or(t1,t7))) = or(t7,and(carry,not(t7))) ),
inference(resolve,[$cnf( $equal(xor(sum,and(t6,or(t7,not(carry)))),xor(sum,and(t6,or(t1,t7)))) )],[refute_0_14735,refute_0_14736]) ).
cnf(refute_0_14738,plain,
( or(t7,and(carry,not(t7))) != or(a,t7)
| xor(sum,and(t6,or(t1,t7))) != or(t7,and(carry,not(t7)))
| xor(sum,and(t6,or(t1,t7))) = or(a,t7) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,and(t6,or(t1,t7))),or(t7,and(carry,not(t7)))) ),[1],$fot(or(a,t7))]]) ).
cnf(refute_0_14739,plain,
( xor(sum,and(t6,or(t1,t7))) != or(t7,and(carry,not(t7)))
| xor(sum,and(t6,or(t1,t7))) = or(a,t7) ),
inference(resolve,[$cnf( $equal(or(t7,and(carry,not(t7))),or(a,t7)) )],[refute_0_8409,refute_0_14738]) ).
cnf(refute_0_14740,plain,
( xor(sum,and(t6,or(t7,not(carry)))) != or(t7,and(carry,not(t7)))
| xor(sum,and(t6,or(t1,t7))) = or(a,t7) ),
inference(resolve,[$cnf( $equal(xor(sum,and(t6,or(t1,t7))),or(t7,and(carry,not(t7)))) )],[refute_0_14737,refute_0_14739]) ).
cnf(refute_0_14741,plain,
xor(sum,and(t6,or(t1,t7))) = or(a,t7),
inference(resolve,[$cnf( $equal(xor(sum,and(t6,or(t7,not(carry)))),or(t7,and(carry,not(t7)))) )],[refute_0_8385,refute_0_14740]) ).
cnf(refute_0_14742,plain,
xor(carry,xor(sum,and(t6,or(t1,t7)))) = xor(carry,xor(sum,and(t6,or(t1,t7)))),
introduced(tautology,[refl,[$fot(xor(carry,xor(sum,and(t6,or(t1,t7)))))]]) ).
cnf(refute_0_14743,plain,
( xor(carry,xor(sum,and(t6,or(t1,t7)))) != xor(carry,xor(sum,and(t6,or(t1,t7))))
| xor(sum,and(t6,or(t1,t7))) != or(a,t7)
| xor(carry,xor(sum,and(t6,or(t1,t7)))) = xor(carry,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(sum,and(t6,or(t1,t7)))),xor(carry,xor(sum,and(t6,or(t1,t7))))) ),[1,1],$fot(or(a,t7))]]) ).
cnf(refute_0_14744,plain,
( xor(sum,and(t6,or(t1,t7))) != or(a,t7)
| xor(carry,xor(sum,and(t6,or(t1,t7)))) = xor(carry,or(a,t7)) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(sum,and(t6,or(t1,t7)))),xor(carry,xor(sum,and(t6,or(t1,t7))))) )],[refute_0_14742,refute_0_14743]) ).
cnf(refute_0_14745,plain,
xor(carry,xor(sum,and(t6,or(t1,t7)))) = xor(carry,or(a,t7)),
inference(resolve,[$cnf( $equal(xor(sum,and(t6,or(t1,t7))),or(a,t7)) )],[refute_0_14741,refute_0_14744]) ).
cnf(refute_0_14746,plain,
( xor(a,xor(t3,and(sum,t1))) != xor(carry,xor(sum,and(t6,or(t1,t7))))
| xor(carry,xor(sum,and(t6,or(t1,t7)))) != xor(carry,or(a,t7))
| xor(a,xor(t3,and(sum,t1))) = xor(carry,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(a,xor(t3,and(sum,t1))),xor(carry,or(a,t7))) ),[0],$fot(xor(carry,xor(sum,and(t6,or(t1,t7)))))]]) ).
cnf(refute_0_14747,plain,
( xor(a,xor(t3,and(sum,t1))) != xor(carry,xor(sum,and(t6,or(t1,t7))))
| xor(a,xor(t3,and(sum,t1))) = xor(carry,or(a,t7)) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(sum,and(t6,or(t1,t7)))),xor(carry,or(a,t7))) )],[refute_0_14745,refute_0_14746]) ).
cnf(refute_0_14748,plain,
xor(a,xor(t3,and(sum,t1))) = xor(carry,or(a,t7)),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,and(sum,t1))),xor(carry,xor(sum,and(t6,or(t1,t7))))) )],[refute_0_14731,refute_0_14747]) ).
cnf(refute_0_14749,plain,
xor(a,xor(and(sum,t1),t3)) = xor(a,xor(t3,and(sum,t1))),
inference(subst,[],[refute_0_2105:[bind(X_333,$fot(a)),bind(X_334,$fot(and(sum,t1))),bind(X_335,$fot(t3))]]) ).
cnf(refute_0_14750,plain,
( xor(a,xor(and(sum,t1),t3)) != xor(a,xor(t3,and(sum,t1)))
| xor(a,xor(t3,and(sum,t1))) != xor(carry,or(a,t7))
| xor(a,xor(and(sum,t1),t3)) = xor(carry,or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(a,xor(and(sum,t1),t3)))),bind(Y0,$fot(xor(a,xor(t3,and(sum,t1))))),bind(Z0,$fot(xor(carry,or(a,t7))))]]) ).
cnf(refute_0_14751,plain,
( xor(a,xor(t3,and(sum,t1))) != xor(carry,or(a,t7))
| xor(a,xor(and(sum,t1),t3)) = xor(carry,or(a,t7)) ),
inference(resolve,[$cnf( $equal(xor(a,xor(and(sum,t1),t3)),xor(a,xor(t3,and(sum,t1)))) )],[refute_0_14749,refute_0_14750]) ).
cnf(refute_0_14752,plain,
xor(a,xor(and(sum,t1),t3)) = xor(carry,or(a,t7)),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,and(sum,t1))),xor(carry,or(a,t7))) )],[refute_0_14748,refute_0_14751]) ).
cnf(refute_0_14753,plain,
xor(a,xor(xor(t3,xor(X_357,t3)),Z)) = xor(xor(a,xor(t3,xor(X_357,t3))),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(a)),bind(Y,$fot(xor(t3,xor(X_357,t3))))]]) ).
cnf(refute_0_14754,plain,
xor(X_357,a) = xor(a,xor(t3,xor(X_357,t3))),
inference(subst,[],[refute_0_13570:[bind(X_333,$fot(X_357))]]) ).
cnf(refute_0_14755,plain,
( xor(X_357,a) != xor(a,xor(t3,xor(X_357,t3)))
| xor(a,xor(t3,xor(X_357,t3))) = xor(X_357,a) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X_357,a))),bind(Y0,$fot(xor(a,xor(t3,xor(X_357,t3)))))]]) ).
cnf(refute_0_14756,plain,
xor(a,xor(t3,xor(X_357,t3))) = xor(X_357,a),
inference(resolve,[$cnf( $equal(xor(X_357,a),xor(a,xor(t3,xor(X_357,t3)))) )],[refute_0_14754,refute_0_14755]) ).
cnf(refute_0_14757,plain,
( xor(a,xor(t3,xor(X_357,t3))) != xor(X_357,a)
| xor(a,xor(xor(t3,xor(X_357,t3)),Z)) != xor(xor(a,xor(t3,xor(X_357,t3))),Z)
| xor(a,xor(xor(t3,xor(X_357,t3)),Z)) = xor(xor(X_357,a),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(xor(t3,xor(X_357,t3)),Z)),xor(xor(a,xor(t3,xor(X_357,t3))),Z)) ),[1,0],$fot(xor(X_357,a))]]) ).
cnf(refute_0_14758,plain,
( xor(a,xor(xor(t3,xor(X_357,t3)),Z)) != xor(xor(a,xor(t3,xor(X_357,t3))),Z)
| xor(a,xor(xor(t3,xor(X_357,t3)),Z)) = xor(xor(X_357,a),Z) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,xor(X_357,t3))),xor(X_357,a)) )],[refute_0_14756,refute_0_14757]) ).
cnf(refute_0_14759,plain,
xor(a,xor(xor(t3,xor(X_357,t3)),Z)) = xor(xor(X_357,a),Z),
inference(resolve,[$cnf( $equal(xor(a,xor(xor(t3,xor(X_357,t3)),Z)),xor(xor(a,xor(t3,xor(X_357,t3))),Z)) )],[refute_0_14753,refute_0_14758]) ).
cnf(refute_0_14760,plain,
xor(xor(X_357,t3),Z) = xor(X_357,xor(t3,Z)),
inference(subst,[],[refute_0_526:[bind(X,$fot(X_357)),bind(Y,$fot(t3))]]) ).
cnf(refute_0_14761,plain,
xor(t3,xor(xor(X_357,t3),Z)) = xor(t3,xor(xor(X_357,t3),Z)),
introduced(tautology,[refl,[$fot(xor(t3,xor(xor(X_357,t3),Z)))]]) ).
cnf(refute_0_14762,plain,
( xor(t3,xor(xor(X_357,t3),Z)) != xor(t3,xor(xor(X_357,t3),Z))
| xor(xor(X_357,t3),Z) != xor(X_357,xor(t3,Z))
| xor(t3,xor(xor(X_357,t3),Z)) = xor(t3,xor(X_357,xor(t3,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,xor(xor(X_357,t3),Z)),xor(t3,xor(xor(X_357,t3),Z))) ),[1,1],$fot(xor(X_357,xor(t3,Z)))]]) ).
cnf(refute_0_14763,plain,
( xor(xor(X_357,t3),Z) != xor(X_357,xor(t3,Z))
| xor(t3,xor(xor(X_357,t3),Z)) = xor(t3,xor(X_357,xor(t3,Z))) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(xor(X_357,t3),Z)),xor(t3,xor(xor(X_357,t3),Z))) )],[refute_0_14761,refute_0_14762]) ).
cnf(refute_0_14764,plain,
xor(t3,xor(xor(X_357,t3),Z)) = xor(t3,xor(X_357,xor(t3,Z))),
inference(resolve,[$cnf( $equal(xor(xor(X_357,t3),Z),xor(X_357,xor(t3,Z))) )],[refute_0_14760,refute_0_14763]) ).
cnf(refute_0_14765,plain,
xor(xor(t3,xor(X_357,t3)),Z) = xor(t3,xor(xor(X_357,t3),Z)),
inference(subst,[],[refute_0_526:[bind(X,$fot(t3)),bind(Y,$fot(xor(X_357,t3)))]]) ).
cnf(refute_0_14766,plain,
( xor(t3,xor(xor(X_357,t3),Z)) != xor(t3,xor(X_357,xor(t3,Z)))
| xor(xor(t3,xor(X_357,t3)),Z) != xor(t3,xor(xor(X_357,t3),Z))
| xor(xor(t3,xor(X_357,t3)),Z) = xor(t3,xor(X_357,xor(t3,Z))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(t3,xor(X_357,t3)),Z))),bind(Y0,$fot(xor(t3,xor(xor(X_357,t3),Z)))),bind(Z0,$fot(xor(t3,xor(X_357,xor(t3,Z)))))]]) ).
cnf(refute_0_14767,plain,
( xor(t3,xor(xor(X_357,t3),Z)) != xor(t3,xor(X_357,xor(t3,Z)))
| xor(xor(t3,xor(X_357,t3)),Z) = xor(t3,xor(X_357,xor(t3,Z))) ),
inference(resolve,[$cnf( $equal(xor(xor(t3,xor(X_357,t3)),Z),xor(t3,xor(xor(X_357,t3),Z))) )],[refute_0_14765,refute_0_14766]) ).
cnf(refute_0_14768,plain,
xor(xor(t3,xor(X_357,t3)),Z) = xor(t3,xor(X_357,xor(t3,Z))),
inference(resolve,[$cnf( $equal(xor(t3,xor(xor(X_357,t3),Z)),xor(t3,xor(X_357,xor(t3,Z)))) )],[refute_0_14764,refute_0_14767]) ).
cnf(refute_0_14769,plain,
xor(a,xor(xor(t3,xor(X_357,t3)),Z)) = xor(a,xor(xor(t3,xor(X_357,t3)),Z)),
introduced(tautology,[refl,[$fot(xor(a,xor(xor(t3,xor(X_357,t3)),Z)))]]) ).
cnf(refute_0_14770,plain,
( xor(a,xor(xor(t3,xor(X_357,t3)),Z)) != xor(a,xor(xor(t3,xor(X_357,t3)),Z))
| xor(xor(t3,xor(X_357,t3)),Z) != xor(t3,xor(X_357,xor(t3,Z)))
| xor(a,xor(xor(t3,xor(X_357,t3)),Z)) = xor(a,xor(t3,xor(X_357,xor(t3,Z)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(xor(t3,xor(X_357,t3)),Z)),xor(a,xor(xor(t3,xor(X_357,t3)),Z))) ),[1,1],$fot(xor(t3,xor(X_357,xor(t3,Z))))]]) ).
cnf(refute_0_14771,plain,
( xor(xor(t3,xor(X_357,t3)),Z) != xor(t3,xor(X_357,xor(t3,Z)))
| xor(a,xor(xor(t3,xor(X_357,t3)),Z)) = xor(a,xor(t3,xor(X_357,xor(t3,Z)))) ),
inference(resolve,[$cnf( $equal(xor(a,xor(xor(t3,xor(X_357,t3)),Z)),xor(a,xor(xor(t3,xor(X_357,t3)),Z))) )],[refute_0_14769,refute_0_14770]) ).
cnf(refute_0_14772,plain,
xor(a,xor(xor(t3,xor(X_357,t3)),Z)) = xor(a,xor(t3,xor(X_357,xor(t3,Z)))),
inference(resolve,[$cnf( $equal(xor(xor(t3,xor(X_357,t3)),Z),xor(t3,xor(X_357,xor(t3,Z)))) )],[refute_0_14768,refute_0_14771]) ).
cnf(refute_0_14773,plain,
( xor(a,xor(xor(t3,xor(X_357,t3)),Z)) != xor(a,xor(t3,xor(X_357,xor(t3,Z))))
| xor(a,xor(xor(t3,xor(X_357,t3)),Z)) != xor(xor(X_357,a),Z)
| xor(a,xor(t3,xor(X_357,xor(t3,Z)))) = xor(xor(X_357,a),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(xor(t3,xor(X_357,t3)),Z)),xor(xor(X_357,a),Z)) ),[0],$fot(xor(a,xor(t3,xor(X_357,xor(t3,Z)))))]]) ).
cnf(refute_0_14774,plain,
( xor(a,xor(xor(t3,xor(X_357,t3)),Z)) != xor(xor(X_357,a),Z)
| xor(a,xor(t3,xor(X_357,xor(t3,Z)))) = xor(xor(X_357,a),Z) ),
inference(resolve,[$cnf( $equal(xor(a,xor(xor(t3,xor(X_357,t3)),Z)),xor(a,xor(t3,xor(X_357,xor(t3,Z))))) )],[refute_0_14772,refute_0_14773]) ).
cnf(refute_0_14775,plain,
xor(xor(X_357,a),Z) = xor(X_357,xor(a,Z)),
inference(subst,[],[refute_0_526:[bind(X,$fot(X_357)),bind(Y,$fot(a))]]) ).
cnf(refute_0_14776,plain,
( xor(a,xor(t3,xor(X_357,xor(t3,Z)))) != xor(xor(X_357,a),Z)
| xor(xor(X_357,a),Z) != xor(X_357,xor(a,Z))
| xor(a,xor(t3,xor(X_357,xor(t3,Z)))) = xor(X_357,xor(a,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(a,xor(t3,xor(X_357,xor(t3,Z)))),xor(X_357,xor(a,Z))) ),[0],$fot(xor(xor(X_357,a),Z))]]) ).
cnf(refute_0_14777,plain,
( xor(a,xor(t3,xor(X_357,xor(t3,Z)))) != xor(xor(X_357,a),Z)
| xor(a,xor(t3,xor(X_357,xor(t3,Z)))) = xor(X_357,xor(a,Z)) ),
inference(resolve,[$cnf( $equal(xor(xor(X_357,a),Z),xor(X_357,xor(a,Z))) )],[refute_0_14775,refute_0_14776]) ).
cnf(refute_0_14778,plain,
( xor(a,xor(xor(t3,xor(X_357,t3)),Z)) != xor(xor(X_357,a),Z)
| xor(a,xor(t3,xor(X_357,xor(t3,Z)))) = xor(X_357,xor(a,Z)) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,xor(X_357,xor(t3,Z)))),xor(xor(X_357,a),Z)) )],[refute_0_14774,refute_0_14777]) ).
cnf(refute_0_14779,plain,
xor(a,xor(t3,xor(X_357,xor(t3,Z)))) = xor(X_357,xor(a,Z)),
inference(resolve,[$cnf( $equal(xor(a,xor(xor(t3,xor(X_357,t3)),Z)),xor(xor(X_357,a),Z)) )],[refute_0_14759,refute_0_14778]) ).
cnf(refute_0_14780,plain,
or(and(xor(t3,xor(X_453,t3)),not(Y)),and(not(xor(t3,xor(X_453,t3))),Y)) = xor(xor(t3,xor(X_453,t3)),Y),
inference(subst,[],[refute_0_9:[bind(X,$fot(xor(t3,xor(X_453,t3))))]]) ).
cnf(refute_0_14781,plain,
( not(xor(t3,xor(X_453,t3))) != not(X_453)
| or(and(xor(t3,xor(X_453,t3)),not(Y)),and(not(xor(t3,xor(X_453,t3))),Y)) != xor(xor(t3,xor(X_453,t3)),Y)
| or(and(xor(t3,xor(X_453,t3)),not(Y)),and(not(X_453),Y)) = xor(xor(t3,xor(X_453,t3)),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(t3,xor(X_453,t3)),not(Y)),and(not(xor(t3,xor(X_453,t3))),Y)),xor(xor(t3,xor(X_453,t3)),Y)) ),[0,1,0],$fot(not(X_453))]]) ).
cnf(refute_0_14782,plain,
( or(and(xor(t3,xor(X_453,t3)),not(Y)),and(not(xor(t3,xor(X_453,t3))),Y)) != xor(xor(t3,xor(X_453,t3)),Y)
| or(and(xor(t3,xor(X_453,t3)),not(Y)),and(not(X_453),Y)) = xor(xor(t3,xor(X_453,t3)),Y) ),
inference(resolve,[$cnf( $equal(not(xor(t3,xor(X_453,t3))),not(X_453)) )],[refute_0_9702,refute_0_14781]) ).
cnf(refute_0_14783,plain,
or(and(xor(t3,xor(X_453,t3)),not(Y)),and(not(X_453),Y)) = xor(xor(t3,xor(X_453,t3)),Y),
inference(resolve,[$cnf( $equal(or(and(xor(t3,xor(X_453,t3)),not(Y)),and(not(xor(t3,xor(X_453,t3))),Y)),xor(xor(t3,xor(X_453,t3)),Y)) )],[refute_0_14780,refute_0_14782]) ).
cnf(refute_0_14784,plain,
or(and(xor(t3,xor(X_453,t3)),not(Y)),and(not(X_453),Y)) = or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))),
inference(subst,[],[refute_0_5:[bind(X,$fot(and(not(X_453),Y))),bind(Y,$fot(and(xor(t3,xor(X_453,t3)),not(Y))))]]) ).
cnf(refute_0_14785,plain,
( or(and(xor(t3,xor(X_453,t3)),not(Y)),and(not(X_453),Y)) != or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y)))
| or(and(xor(t3,xor(X_453,t3)),not(Y)),and(not(X_453),Y)) != xor(xor(t3,xor(X_453,t3)),Y)
| or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))) = xor(xor(t3,xor(X_453,t3)),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(t3,xor(X_453,t3)),not(Y)),and(not(X_453),Y)),xor(xor(t3,xor(X_453,t3)),Y)) ),[0],$fot(or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))))]]) ).
cnf(refute_0_14786,plain,
( or(and(xor(t3,xor(X_453,t3)),not(Y)),and(not(X_453),Y)) != xor(xor(t3,xor(X_453,t3)),Y)
| or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))) = xor(xor(t3,xor(X_453,t3)),Y) ),
inference(resolve,[$cnf( $equal(or(and(xor(t3,xor(X_453,t3)),not(Y)),and(not(X_453),Y)),or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y)))) )],[refute_0_14784,refute_0_14785]) ).
cnf(refute_0_14787,plain,
xor(xor(X_453,t3),Y) = xor(X_453,xor(t3,Y)),
inference(subst,[],[refute_0_526:[bind(X,$fot(X_453)),bind(Y,$fot(t3)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_14788,plain,
xor(t3,xor(xor(X_453,t3),Y)) = xor(t3,xor(xor(X_453,t3),Y)),
introduced(tautology,[refl,[$fot(xor(t3,xor(xor(X_453,t3),Y)))]]) ).
cnf(refute_0_14789,plain,
( xor(t3,xor(xor(X_453,t3),Y)) != xor(t3,xor(xor(X_453,t3),Y))
| xor(xor(X_453,t3),Y) != xor(X_453,xor(t3,Y))
| xor(t3,xor(xor(X_453,t3),Y)) = xor(t3,xor(X_453,xor(t3,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,xor(xor(X_453,t3),Y)),xor(t3,xor(xor(X_453,t3),Y))) ),[1,1],$fot(xor(X_453,xor(t3,Y)))]]) ).
cnf(refute_0_14790,plain,
( xor(xor(X_453,t3),Y) != xor(X_453,xor(t3,Y))
| xor(t3,xor(xor(X_453,t3),Y)) = xor(t3,xor(X_453,xor(t3,Y))) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(xor(X_453,t3),Y)),xor(t3,xor(xor(X_453,t3),Y))) )],[refute_0_14788,refute_0_14789]) ).
cnf(refute_0_14791,plain,
xor(t3,xor(xor(X_453,t3),Y)) = xor(t3,xor(X_453,xor(t3,Y))),
inference(resolve,[$cnf( $equal(xor(xor(X_453,t3),Y),xor(X_453,xor(t3,Y))) )],[refute_0_14787,refute_0_14790]) ).
cnf(refute_0_14792,plain,
xor(xor(t3,xor(X_453,t3)),Y) = xor(t3,xor(xor(X_453,t3),Y)),
inference(subst,[],[refute_0_526:[bind(X,$fot(t3)),bind(Y,$fot(xor(X_453,t3))),bind(Z,$fot(Y))]]) ).
cnf(refute_0_14793,plain,
( xor(t3,xor(xor(X_453,t3),Y)) != xor(t3,xor(X_453,xor(t3,Y)))
| xor(xor(t3,xor(X_453,t3)),Y) != xor(t3,xor(xor(X_453,t3),Y))
| xor(xor(t3,xor(X_453,t3)),Y) = xor(t3,xor(X_453,xor(t3,Y))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(t3,xor(X_453,t3)),Y))),bind(Y0,$fot(xor(t3,xor(xor(X_453,t3),Y)))),bind(Z0,$fot(xor(t3,xor(X_453,xor(t3,Y)))))]]) ).
cnf(refute_0_14794,plain,
( xor(t3,xor(xor(X_453,t3),Y)) != xor(t3,xor(X_453,xor(t3,Y)))
| xor(xor(t3,xor(X_453,t3)),Y) = xor(t3,xor(X_453,xor(t3,Y))) ),
inference(resolve,[$cnf( $equal(xor(xor(t3,xor(X_453,t3)),Y),xor(t3,xor(xor(X_453,t3),Y))) )],[refute_0_14792,refute_0_14793]) ).
cnf(refute_0_14795,plain,
xor(xor(t3,xor(X_453,t3)),Y) = xor(t3,xor(X_453,xor(t3,Y))),
inference(resolve,[$cnf( $equal(xor(t3,xor(xor(X_453,t3),Y)),xor(t3,xor(X_453,xor(t3,Y)))) )],[refute_0_14791,refute_0_14794]) ).
cnf(refute_0_14796,plain,
( or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))) != xor(xor(t3,xor(X_453,t3)),Y)
| xor(xor(t3,xor(X_453,t3)),Y) != xor(t3,xor(X_453,xor(t3,Y)))
| or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))) = xor(t3,xor(X_453,xor(t3,Y))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))),xor(t3,xor(X_453,xor(t3,Y)))) ),[0],$fot(xor(xor(t3,xor(X_453,t3)),Y))]]) ).
cnf(refute_0_14797,plain,
( or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))) != xor(xor(t3,xor(X_453,t3)),Y)
| or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))) = xor(t3,xor(X_453,xor(t3,Y))) ),
inference(resolve,[$cnf( $equal(xor(xor(t3,xor(X_453,t3)),Y),xor(t3,xor(X_453,xor(t3,Y)))) )],[refute_0_14795,refute_0_14796]) ).
cnf(refute_0_14798,plain,
( or(and(xor(t3,xor(X_453,t3)),not(Y)),and(not(X_453),Y)) != xor(xor(t3,xor(X_453,t3)),Y)
| or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))) = xor(t3,xor(X_453,xor(t3,Y))) ),
inference(resolve,[$cnf( $equal(or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))),xor(xor(t3,xor(X_453,t3)),Y)) )],[refute_0_14786,refute_0_14797]) ).
cnf(refute_0_14799,plain,
or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))) = xor(t3,xor(X_453,xor(t3,Y))),
inference(resolve,[$cnf( $equal(or(and(xor(t3,xor(X_453,t3)),not(Y)),and(not(X_453),Y)),xor(xor(t3,xor(X_453,t3)),Y)) )],[refute_0_14783,refute_0_14798]) ).
cnf(refute_0_14800,plain,
or(and(X_453,not(Y)),and(not(X_453),Y)) = xor(X_453,Y),
inference(subst,[],[refute_0_9:[bind(X,$fot(X_453))]]) ).
cnf(refute_0_14801,plain,
or(and(not(X_453),Y),and(X_453,not(Y))) = or(and(X_453,not(Y)),and(not(X_453),Y)),
inference(subst,[],[refute_0_5:[bind(X,$fot(and(X_453,not(Y)))),bind(Y,$fot(and(not(X_453),Y)))]]) ).
cnf(refute_0_14802,plain,
( or(and(X_453,not(Y)),and(not(X_453),Y)) != xor(X_453,Y)
| or(and(not(X_453),Y),and(X_453,not(Y))) != or(and(X_453,not(Y)),and(not(X_453),Y))
| or(and(not(X_453),Y),and(X_453,not(Y))) = xor(X_453,Y) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(not(X_453),Y),and(X_453,not(Y))))),bind(Y0,$fot(or(and(X_453,not(Y)),and(not(X_453),Y)))),bind(Z0,$fot(xor(X_453,Y)))]]) ).
cnf(refute_0_14803,plain,
( or(and(X_453,not(Y)),and(not(X_453),Y)) != xor(X_453,Y)
| or(and(not(X_453),Y),and(X_453,not(Y))) = xor(X_453,Y) ),
inference(resolve,[$cnf( $equal(or(and(not(X_453),Y),and(X_453,not(Y))),or(and(X_453,not(Y)),and(not(X_453),Y))) )],[refute_0_14801,refute_0_14802]) ).
cnf(refute_0_14804,plain,
or(and(not(X_453),Y),and(X_453,not(Y))) = xor(X_453,Y),
inference(resolve,[$cnf( $equal(or(and(X_453,not(Y)),and(not(X_453),Y)),xor(X_453,Y)) )],[refute_0_14800,refute_0_14803]) ).
cnf(refute_0_14805,plain,
not(or(not(xor(t3,xor(X_453,t3))),X_26)) = and(xor(t3,xor(X_453,t3)),not(X_26)),
inference(subst,[],[refute_0_159:[bind(X,$fot(xor(t3,xor(X_453,t3))))]]) ).
cnf(refute_0_14806,plain,
( not(or(not(xor(t3,xor(X_453,t3))),X_26)) != and(xor(t3,xor(X_453,t3)),not(X_26))
| not(xor(t3,xor(X_453,t3))) != not(X_453)
| not(or(not(X_453),X_26)) = and(xor(t3,xor(X_453,t3)),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(xor(t3,xor(X_453,t3))),X_26)),and(xor(t3,xor(X_453,t3)),not(X_26))) ),[0,0,0],$fot(not(X_453))]]) ).
cnf(refute_0_14807,plain,
( not(or(not(xor(t3,xor(X_453,t3))),X_26)) != and(xor(t3,xor(X_453,t3)),not(X_26))
| not(or(not(X_453),X_26)) = and(xor(t3,xor(X_453,t3)),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(xor(t3,xor(X_453,t3))),not(X_453)) )],[refute_0_9702,refute_0_14806]) ).
cnf(refute_0_14808,plain,
not(or(not(X_453),X_26)) = and(xor(t3,xor(X_453,t3)),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(not(xor(t3,xor(X_453,t3))),X_26)),and(xor(t3,xor(X_453,t3)),not(X_26))) )],[refute_0_14805,refute_0_14807]) ).
cnf(refute_0_14809,plain,
not(or(not(X_453),X_26)) = and(X_453,not(X_26)),
inference(subst,[],[refute_0_159:[bind(X,$fot(X_453))]]) ).
cnf(refute_0_14810,plain,
( not(or(not(X_453),X_26)) != and(X_453,not(X_26))
| not(or(not(X_453),X_26)) != and(xor(t3,xor(X_453,t3)),not(X_26))
| and(X_453,not(X_26)) = and(xor(t3,xor(X_453,t3)),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(X_453),X_26)),and(xor(t3,xor(X_453,t3)),not(X_26))) ),[0],$fot(and(X_453,not(X_26)))]]) ).
cnf(refute_0_14811,plain,
( not(or(not(X_453),X_26)) != and(xor(t3,xor(X_453,t3)),not(X_26))
| and(X_453,not(X_26)) = and(xor(t3,xor(X_453,t3)),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(or(not(X_453),X_26)),and(X_453,not(X_26))) )],[refute_0_14809,refute_0_14810]) ).
cnf(refute_0_14812,plain,
and(X_453,not(X_26)) = and(xor(t3,xor(X_453,t3)),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(not(X_453),X_26)),and(xor(t3,xor(X_453,t3)),not(X_26))) )],[refute_0_14808,refute_0_14811]) ).
cnf(refute_0_14813,plain,
( and(X_453,not(X_26)) != and(xor(t3,xor(X_453,t3)),not(X_26))
| and(xor(t3,xor(X_453,t3)),not(X_26)) = and(X_453,not(X_26)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X_453,not(X_26)))),bind(Y0,$fot(and(xor(t3,xor(X_453,t3)),not(X_26))))]]) ).
cnf(refute_0_14814,plain,
and(xor(t3,xor(X_453,t3)),not(X_26)) = and(X_453,not(X_26)),
inference(resolve,[$cnf( $equal(and(X_453,not(X_26)),and(xor(t3,xor(X_453,t3)),not(X_26))) )],[refute_0_14812,refute_0_14813]) ).
cnf(refute_0_14815,plain,
and(xor(t3,xor(X_453,t3)),not(Y)) = and(X_453,not(Y)),
inference(subst,[],[refute_0_14814:[bind(X_26,$fot(Y))]]) ).
cnf(refute_0_14816,plain,
or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))) = or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))),
introduced(tautology,[refl,[$fot(or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))))]]) ).
cnf(refute_0_14817,plain,
( and(xor(t3,xor(X_453,t3)),not(Y)) != and(X_453,not(Y))
| or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))) != or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y)))
| or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))) = or(and(not(X_453),Y),and(X_453,not(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))),or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y)))) ),[1,1],$fot(and(X_453,not(Y)))]]) ).
cnf(refute_0_14818,plain,
( and(xor(t3,xor(X_453,t3)),not(Y)) != and(X_453,not(Y))
| or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))) = or(and(not(X_453),Y),and(X_453,not(Y))) ),
inference(resolve,[$cnf( $equal(or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))),or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y)))) )],[refute_0_14816,refute_0_14817]) ).
cnf(refute_0_14819,plain,
or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))) = or(and(not(X_453),Y),and(X_453,not(Y))),
inference(resolve,[$cnf( $equal(and(xor(t3,xor(X_453,t3)),not(Y)),and(X_453,not(Y))) )],[refute_0_14815,refute_0_14818]) ).
cnf(refute_0_14820,plain,
( or(and(not(X_453),Y),and(X_453,not(Y))) != xor(X_453,Y)
| or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))) != or(and(not(X_453),Y),and(X_453,not(Y)))
| or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))) = xor(X_453,Y) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))))),bind(Y0,$fot(or(and(not(X_453),Y),and(X_453,not(Y))))),bind(Z0,$fot(xor(X_453,Y)))]]) ).
cnf(refute_0_14821,plain,
( or(and(not(X_453),Y),and(X_453,not(Y))) != xor(X_453,Y)
| or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))) = xor(X_453,Y) ),
inference(resolve,[$cnf( $equal(or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))),or(and(not(X_453),Y),and(X_453,not(Y)))) )],[refute_0_14819,refute_0_14820]) ).
cnf(refute_0_14822,plain,
or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))) = xor(X_453,Y),
inference(resolve,[$cnf( $equal(or(and(not(X_453),Y),and(X_453,not(Y))),xor(X_453,Y)) )],[refute_0_14804,refute_0_14821]) ).
cnf(refute_0_14823,plain,
( or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))) != xor(X_453,Y)
| or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))) != xor(t3,xor(X_453,xor(t3,Y)))
| xor(X_453,Y) = xor(t3,xor(X_453,xor(t3,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))),xor(t3,xor(X_453,xor(t3,Y)))) ),[0],$fot(xor(X_453,Y))]]) ).
cnf(refute_0_14824,plain,
( or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))) != xor(t3,xor(X_453,xor(t3,Y)))
| xor(X_453,Y) = xor(t3,xor(X_453,xor(t3,Y))) ),
inference(resolve,[$cnf( $equal(or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))),xor(X_453,Y)) )],[refute_0_14822,refute_0_14823]) ).
cnf(refute_0_14825,plain,
xor(X_453,Y) = xor(t3,xor(X_453,xor(t3,Y))),
inference(resolve,[$cnf( $equal(or(and(not(X_453),Y),and(xor(t3,xor(X_453,t3)),not(Y))),xor(t3,xor(X_453,xor(t3,Y)))) )],[refute_0_14799,refute_0_14824]) ).
cnf(refute_0_14826,plain,
( xor(X_453,Y) != xor(t3,xor(X_453,xor(t3,Y)))
| xor(t3,xor(X_453,xor(t3,Y))) = xor(X_453,Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X_453,Y))),bind(Y0,$fot(xor(t3,xor(X_453,xor(t3,Y)))))]]) ).
cnf(refute_0_14827,plain,
xor(t3,xor(X_453,xor(t3,Y))) = xor(X_453,Y),
inference(resolve,[$cnf( $equal(xor(X_453,Y),xor(t3,xor(X_453,xor(t3,Y)))) )],[refute_0_14825,refute_0_14826]) ).
cnf(refute_0_14828,plain,
xor(t3,xor(X_357,xor(t3,Z))) = xor(X_357,Z),
inference(subst,[],[refute_0_14827:[bind(Y,$fot(Z)),bind(X_453,$fot(X_357))]]) ).
cnf(refute_0_14829,plain,
xor(a,xor(t3,xor(X_357,xor(t3,Z)))) = xor(a,xor(t3,xor(X_357,xor(t3,Z)))),
introduced(tautology,[refl,[$fot(xor(a,xor(t3,xor(X_357,xor(t3,Z)))))]]) ).
cnf(refute_0_14830,plain,
( xor(a,xor(t3,xor(X_357,xor(t3,Z)))) != xor(a,xor(t3,xor(X_357,xor(t3,Z))))
| xor(t3,xor(X_357,xor(t3,Z))) != xor(X_357,Z)
| xor(a,xor(t3,xor(X_357,xor(t3,Z)))) = xor(a,xor(X_357,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t3,xor(X_357,xor(t3,Z)))),xor(a,xor(t3,xor(X_357,xor(t3,Z))))) ),[1,1],$fot(xor(X_357,Z))]]) ).
cnf(refute_0_14831,plain,
( xor(t3,xor(X_357,xor(t3,Z))) != xor(X_357,Z)
| xor(a,xor(t3,xor(X_357,xor(t3,Z)))) = xor(a,xor(X_357,Z)) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,xor(X_357,xor(t3,Z)))),xor(a,xor(t3,xor(X_357,xor(t3,Z))))) )],[refute_0_14829,refute_0_14830]) ).
cnf(refute_0_14832,plain,
xor(a,xor(t3,xor(X_357,xor(t3,Z)))) = xor(a,xor(X_357,Z)),
inference(resolve,[$cnf( $equal(xor(t3,xor(X_357,xor(t3,Z))),xor(X_357,Z)) )],[refute_0_14828,refute_0_14831]) ).
cnf(refute_0_14833,plain,
( xor(a,xor(t3,xor(X_357,xor(t3,Z)))) != xor(X_357,xor(a,Z))
| xor(a,xor(t3,xor(X_357,xor(t3,Z)))) != xor(a,xor(X_357,Z))
| xor(a,xor(X_357,Z)) = xor(X_357,xor(a,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t3,xor(X_357,xor(t3,Z)))),xor(X_357,xor(a,Z))) ),[0],$fot(xor(a,xor(X_357,Z)))]]) ).
cnf(refute_0_14834,plain,
( xor(a,xor(t3,xor(X_357,xor(t3,Z)))) != xor(X_357,xor(a,Z))
| xor(a,xor(X_357,Z)) = xor(X_357,xor(a,Z)) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,xor(X_357,xor(t3,Z)))),xor(a,xor(X_357,Z))) )],[refute_0_14832,refute_0_14833]) ).
cnf(refute_0_14835,plain,
xor(a,xor(X_357,Z)) = xor(X_357,xor(a,Z)),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,xor(X_357,xor(t3,Z)))),xor(X_357,xor(a,Z))) )],[refute_0_14779,refute_0_14834]) ).
cnf(refute_0_14836,plain,
( xor(a,xor(X_357,Z)) != xor(X_357,xor(a,Z))
| xor(X_357,xor(a,Z)) = xor(a,xor(X_357,Z)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(a,xor(X_357,Z)))),bind(Y0,$fot(xor(X_357,xor(a,Z))))]]) ).
cnf(refute_0_14837,plain,
xor(X_357,xor(a,Z)) = xor(a,xor(X_357,Z)),
inference(resolve,[$cnf( $equal(xor(a,xor(X_357,Z)),xor(X_357,xor(a,Z))) )],[refute_0_14835,refute_0_14836]) ).
cnf(refute_0_14838,plain,
xor(and(sum,t1),xor(a,t3)) = xor(a,xor(and(sum,t1),t3)),
inference(subst,[],[refute_0_14837:[bind(Z,$fot(t3)),bind(X_357,$fot(and(sum,t1)))]]) ).
cnf(refute_0_14839,plain,
( xor(a,xor(and(sum,t1),t3)) != xor(carry,or(a,t7))
| xor(and(sum,t1),xor(a,t3)) != xor(a,xor(and(sum,t1),t3))
| xor(and(sum,t1),xor(a,t3)) = xor(carry,or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(and(sum,t1),xor(a,t3)))),bind(Y0,$fot(xor(a,xor(and(sum,t1),t3)))),bind(Z0,$fot(xor(carry,or(a,t7))))]]) ).
cnf(refute_0_14840,plain,
( xor(a,xor(and(sum,t1),t3)) != xor(carry,or(a,t7))
| xor(and(sum,t1),xor(a,t3)) = xor(carry,or(a,t7)) ),
inference(resolve,[$cnf( $equal(xor(and(sum,t1),xor(a,t3)),xor(a,xor(and(sum,t1),t3))) )],[refute_0_14838,refute_0_14839]) ).
cnf(refute_0_14841,plain,
xor(and(sum,t1),xor(a,t3)) = xor(carry,or(a,t7)),
inference(resolve,[$cnf( $equal(xor(a,xor(and(sum,t1),t3)),xor(carry,or(a,t7))) )],[refute_0_14752,refute_0_14840]) ).
cnf(refute_0_14842,plain,
xor(X,or(a,t4)) = xor(X,or(a,t4)),
introduced(tautology,[refl,[$fot(xor(X,or(a,t4)))]]) ).
cnf(refute_0_14843,plain,
( or(a,t4) != or(a,b)
| xor(X,or(a,t4)) != xor(X,or(a,t4))
| xor(X,or(a,t4)) = xor(X,or(a,b)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,or(a,t4)),xor(X,or(a,t4))) ),[1,1],$fot(or(a,b))]]) ).
cnf(refute_0_14844,plain,
( or(a,t4) != or(a,b)
| xor(X,or(a,t4)) = xor(X,or(a,b)) ),
inference(resolve,[$cnf( $equal(xor(X,or(a,t4)),xor(X,or(a,t4))) )],[refute_0_14842,refute_0_14843]) ).
cnf(refute_0_14845,plain,
xor(X,or(a,t4)) = xor(X,or(a,b)),
inference(resolve,[$cnf( $equal(or(a,t4),or(a,b)) )],[refute_0_3071,refute_0_14844]) ).
cnf(refute_0_14846,plain,
not(xor(X,or(a,t4))) = not(xor(X,or(a,t4))),
introduced(tautology,[refl,[$fot(not(xor(X,or(a,t4))))]]) ).
cnf(refute_0_14847,plain,
( not(xor(X,or(a,t4))) != not(xor(X,or(a,t4)))
| xor(X,or(a,t4)) != xor(X,or(a,b))
| not(xor(X,or(a,t4))) = not(xor(X,or(a,b))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(X,or(a,t4))),not(xor(X,or(a,t4)))) ),[1,0],$fot(xor(X,or(a,b)))]]) ).
cnf(refute_0_14848,plain,
( xor(X,or(a,t4)) != xor(X,or(a,b))
| not(xor(X,or(a,t4))) = not(xor(X,or(a,b))) ),
inference(resolve,[$cnf( $equal(not(xor(X,or(a,t4))),not(xor(X,or(a,t4)))) )],[refute_0_14846,refute_0_14847]) ).
cnf(refute_0_14849,plain,
not(xor(X,or(a,t4))) = not(xor(X,or(a,b))),
inference(resolve,[$cnf( $equal(xor(X,or(a,t4)),xor(X,or(a,b))) )],[refute_0_14845,refute_0_14848]) ).
cnf(refute_0_14850,plain,
( not(xor(X,or(a,t4))) != not(xor(X,or(a,b)))
| not(xor(X,or(a,t4))) != xor(X,xor(a,t3))
| not(xor(X,or(a,b))) = xor(X,xor(a,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(X,or(a,t4))),xor(X,xor(a,t3))) ),[0],$fot(not(xor(X,or(a,b))))]]) ).
cnf(refute_0_14851,plain,
( not(xor(X,or(a,t4))) != xor(X,xor(a,t3))
| not(xor(X,or(a,b))) = xor(X,xor(a,t3)) ),
inference(resolve,[$cnf( $equal(not(xor(X,or(a,t4))),not(xor(X,or(a,b)))) )],[refute_0_14849,refute_0_14850]) ).
cnf(refute_0_14852,plain,
not(xor(X,or(a,b))) = xor(X,xor(a,t3)),
inference(resolve,[$cnf( $equal(not(xor(X,or(a,t4))),xor(X,xor(a,t3))) )],[refute_0_4879,refute_0_14851]) ).
cnf(refute_0_14853,plain,
not(xor(and(sum,t1),or(a,b))) = xor(and(sum,t1),xor(a,t3)),
inference(subst,[],[refute_0_14852:[bind(X,$fot(and(sum,t1)))]]) ).
cnf(refute_0_14854,plain,
( not(xor(and(sum,t1),or(a,b))) != xor(and(sum,t1),xor(a,t3))
| xor(and(sum,t1),xor(a,t3)) != xor(carry,or(a,t7))
| not(xor(and(sum,t1),or(a,b))) = xor(carry,or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(and(sum,t1),or(a,b))))),bind(Y0,$fot(xor(and(sum,t1),xor(a,t3)))),bind(Z0,$fot(xor(carry,or(a,t7))))]]) ).
cnf(refute_0_14855,plain,
( xor(and(sum,t1),xor(a,t3)) != xor(carry,or(a,t7))
| not(xor(and(sum,t1),or(a,b))) = xor(carry,or(a,t7)) ),
inference(resolve,[$cnf( $equal(not(xor(and(sum,t1),or(a,b))),xor(and(sum,t1),xor(a,t3))) )],[refute_0_14853,refute_0_14854]) ).
cnf(refute_0_14856,plain,
not(xor(and(sum,t1),or(a,b))) = xor(carry,or(a,t7)),
inference(resolve,[$cnf( $equal(xor(and(sum,t1),xor(a,t3)),xor(carry,or(a,t7))) )],[refute_0_14841,refute_0_14855]) ).
cnf(refute_0_14857,plain,
xor(and(sum,t1),not(or(a,b))) = not(xor(and(sum,t1),or(a,b))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(and(sum,t1))),bind(X_334,$fot(or(a,b)))]]) ).
cnf(refute_0_14858,plain,
( not(xor(and(sum,t1),or(a,b))) != xor(carry,or(a,t7))
| xor(and(sum,t1),not(or(a,b))) != not(xor(and(sum,t1),or(a,b)))
| xor(and(sum,t1),not(or(a,b))) = xor(carry,or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(and(sum,t1),not(or(a,b))))),bind(Y0,$fot(not(xor(and(sum,t1),or(a,b))))),bind(Z0,$fot(xor(carry,or(a,t7))))]]) ).
cnf(refute_0_14859,plain,
( not(xor(and(sum,t1),or(a,b))) != xor(carry,or(a,t7))
| xor(and(sum,t1),not(or(a,b))) = xor(carry,or(a,t7)) ),
inference(resolve,[$cnf( $equal(xor(and(sum,t1),not(or(a,b))),not(xor(and(sum,t1),or(a,b)))) )],[refute_0_14857,refute_0_14858]) ).
cnf(refute_0_14860,plain,
xor(and(sum,t1),not(or(a,b))) = xor(carry,or(a,t7)),
inference(resolve,[$cnf( $equal(not(xor(and(sum,t1),or(a,b))),xor(carry,or(a,t7))) )],[refute_0_14856,refute_0_14859]) ).
cnf(refute_0_14861,plain,
( not(or(carry,cin)) != xor(and(sum,t1),not(or(a,b)))
| xor(and(sum,t1),not(or(a,b))) != xor(carry,or(a,t7))
| not(or(carry,cin)) = xor(carry,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(or(carry,cin)),xor(carry,or(a,t7))) ),[0],$fot(xor(and(sum,t1),not(or(a,b))))]]) ).
cnf(refute_0_14862,plain,
( not(or(carry,cin)) != xor(and(sum,t1),not(or(a,b)))
| not(or(carry,cin)) = xor(carry,or(a,t7)) ),
inference(resolve,[$cnf( $equal(xor(and(sum,t1),not(or(a,b))),xor(carry,or(a,t7))) )],[refute_0_14860,refute_0_14861]) ).
cnf(refute_0_14863,plain,
not(or(carry,cin)) = xor(carry,or(a,t7)),
inference(resolve,[$cnf( $equal(not(or(carry,cin)),xor(and(sum,t1),not(or(a,b)))) )],[refute_0_14727,refute_0_14862]) ).
cnf(refute_0_14864,plain,
( not(or(carry,cin)) != xor(carry,or(a,t7))
| xor(carry,or(a,t7)) = not(or(carry,cin)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(carry,cin)))),bind(Y0,$fot(xor(carry,or(a,t7))))]]) ).
cnf(refute_0_14865,plain,
xor(carry,or(a,t7)) = not(or(carry,cin)),
inference(resolve,[$cnf( $equal(not(or(carry,cin)),xor(carry,or(a,t7))) )],[refute_0_14863,refute_0_14864]) ).
cnf(refute_0_14866,plain,
xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z)) = xor(xor(or(sum,not(t1)),and(t1,or(cin,sum))),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(or(sum,not(t1)))),bind(Y,$fot(and(t1,or(cin,sum))))]]) ).
cnf(refute_0_14867,plain,
xor(a,xor(t3,xor(t7,xor(and(carry_def,cin),and(t1,or(cin,sum)))))) = xor(carry,xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum))))),
inference(subst,[],[refute_0_4908:[bind(Z,$fot(xor(and(carry_def,cin),and(t1,or(cin,sum)))))]]) ).
cnf(refute_0_14868,plain,
ll0 = xor(or(t4,and(sum,t1)),or(and(sum,t1),t4)),
inference(subst,[],[refute_0_131:[bind(X_146,$fot(and(sum,t1))),bind(X_147,$fot(t4))]]) ).
cnf(refute_0_14869,plain,
( ll0 != xor(or(t4,and(sum,t1)),or(and(sum,t1),t4))
| or(t4,and(sum,t1)) != and(t1,or(cin,sum))
| ll0 = xor(and(t1,or(cin,sum)),or(and(sum,t1),t4)) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,xor(or(t4,and(sum,t1)),or(and(sum,t1),t4))) ),[1,0],$fot(and(t1,or(cin,sum)))]]) ).
cnf(refute_0_14870,plain,
( ll0 != xor(or(t4,and(sum,t1)),or(and(sum,t1),t4))
| ll0 = xor(and(t1,or(cin,sum)),or(and(sum,t1),t4)) ),
inference(resolve,[$cnf( $equal(or(t4,and(sum,t1)),and(t1,or(cin,sum))) )],[refute_0_13758,refute_0_14869]) ).
cnf(refute_0_14871,plain,
ll0 = xor(and(t1,or(cin,sum)),or(and(sum,t1),t4)),
inference(resolve,[$cnf( $equal(ll0,xor(or(t4,and(sum,t1)),or(and(sum,t1),t4))) )],[refute_0_14868,refute_0_14870]) ).
cnf(refute_0_14872,plain,
or(and(sum,t1),t4) = or(t4,and(sum,t1)),
inference(subst,[],[refute_0_10912:[bind(X,$fot(and(sum,t1)))]]) ).
cnf(refute_0_14873,plain,
( or(and(sum,t1),t4) != or(t4,and(sum,t1))
| or(t4,and(sum,t1)) != and(t1,or(cin,sum))
| or(and(sum,t1),t4) = and(t1,or(cin,sum)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(sum,t1),t4))),bind(Y0,$fot(or(t4,and(sum,t1)))),bind(Z0,$fot(and(t1,or(cin,sum))))]]) ).
cnf(refute_0_14874,plain,
( or(t4,and(sum,t1)) != and(t1,or(cin,sum))
| or(and(sum,t1),t4) = and(t1,or(cin,sum)) ),
inference(resolve,[$cnf( $equal(or(and(sum,t1),t4),or(t4,and(sum,t1))) )],[refute_0_14872,refute_0_14873]) ).
cnf(refute_0_14875,plain,
or(and(sum,t1),t4) = and(t1,or(cin,sum)),
inference(resolve,[$cnf( $equal(or(t4,and(sum,t1)),and(t1,or(cin,sum))) )],[refute_0_13758,refute_0_14874]) ).
cnf(refute_0_14876,plain,
xor(and(carry_def,cin),or(and(sum,t1),t4)) = xor(and(carry_def,cin),or(and(sum,t1),t4)),
introduced(tautology,[refl,[$fot(xor(and(carry_def,cin),or(and(sum,t1),t4)))]]) ).
cnf(refute_0_14877,plain,
( or(and(sum,t1),t4) != and(t1,or(cin,sum))
| xor(and(carry_def,cin),or(and(sum,t1),t4)) != xor(and(carry_def,cin),or(and(sum,t1),t4))
| xor(and(carry_def,cin),or(and(sum,t1),t4)) = xor(and(carry_def,cin),and(t1,or(cin,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(and(carry_def,cin),or(and(sum,t1),t4)),xor(and(carry_def,cin),or(and(sum,t1),t4))) ),[1,1],$fot(and(t1,or(cin,sum)))]]) ).
cnf(refute_0_14878,plain,
( or(and(sum,t1),t4) != and(t1,or(cin,sum))
| xor(and(carry_def,cin),or(and(sum,t1),t4)) = xor(and(carry_def,cin),and(t1,or(cin,sum))) ),
inference(resolve,[$cnf( $equal(xor(and(carry_def,cin),or(and(sum,t1),t4)),xor(and(carry_def,cin),or(and(sum,t1),t4))) )],[refute_0_14876,refute_0_14877]) ).
cnf(refute_0_14879,plain,
xor(and(carry_def,cin),or(and(sum,t1),t4)) = xor(and(carry_def,cin),and(t1,or(cin,sum))),
inference(resolve,[$cnf( $equal(or(and(sum,t1),t4),and(t1,or(cin,sum))) )],[refute_0_14875,refute_0_14878]) ).
cnf(refute_0_14880,plain,
xor(sum,xor(and(carry_def,cin),or(and(sum,t1),t4))) = xor(sum,xor(and(carry_def,cin),or(and(sum,t1),t4))),
introduced(tautology,[refl,[$fot(xor(sum,xor(and(carry_def,cin),or(and(sum,t1),t4))))]]) ).
cnf(refute_0_14881,plain,
( xor(and(carry_def,cin),or(and(sum,t1),t4)) != xor(and(carry_def,cin),and(t1,or(cin,sum)))
| xor(sum,xor(and(carry_def,cin),or(and(sum,t1),t4))) != xor(sum,xor(and(carry_def,cin),or(and(sum,t1),t4)))
| xor(sum,xor(and(carry_def,cin),or(and(sum,t1),t4))) = xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,xor(and(carry_def,cin),or(and(sum,t1),t4))),xor(sum,xor(and(carry_def,cin),or(and(sum,t1),t4)))) ),[1,1],$fot(xor(and(carry_def,cin),and(t1,or(cin,sum))))]]) ).
cnf(refute_0_14882,plain,
( xor(and(carry_def,cin),or(and(sum,t1),t4)) != xor(and(carry_def,cin),and(t1,or(cin,sum)))
| xor(sum,xor(and(carry_def,cin),or(and(sum,t1),t4))) = xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum)))) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(and(carry_def,cin),or(and(sum,t1),t4))),xor(sum,xor(and(carry_def,cin),or(and(sum,t1),t4)))) )],[refute_0_14880,refute_0_14881]) ).
cnf(refute_0_14883,plain,
xor(sum,xor(and(carry_def,cin),or(and(sum,t1),t4))) = xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum)))),
inference(resolve,[$cnf( $equal(xor(and(carry_def,cin),or(and(sum,t1),t4)),xor(and(carry_def,cin),and(t1,or(cin,sum)))) )],[refute_0_14879,refute_0_14882]) ).
cnf(refute_0_14884,plain,
xor(sum,xor(and(carry_def,cin),Z)) = xor(xor(sum,and(carry_def,cin)),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(sum)),bind(Y,$fot(and(carry_def,cin)))]]) ).
cnf(refute_0_14885,plain,
xor(cin,xor(t4,and(carry_def,cin))) = xor(sum,and(carry_def,cin)),
inference(subst,[],[refute_0_5968:[bind(Z,$fot(and(carry_def,cin)))]]) ).
cnf(refute_0_14886,plain,
or(and(t4,not(and(carry_def,cin))),and(not(t4),and(carry_def,cin))) = xor(t4,and(carry_def,cin)),
inference(subst,[],[refute_0_9:[bind(X,$fot(t4)),bind(Y,$fot(and(carry_def,cin)))]]) ).
cnf(refute_0_14887,plain,
and(not(t6),or(t1,t7)) = and(t4,and(t5,or(t1,t7))),
inference(subst,[],[refute_0_667:[bind(X_222,$fot(or(t1,t7)))]]) ).
cnf(refute_0_14888,plain,
( and(not(t6),or(t1,t7)) != and(t4,and(t5,or(t1,t7)))
| and(t5,or(t1,t7)) != not(and(carry_def,cin))
| and(not(t6),or(t1,t7)) = and(t4,not(and(carry_def,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),or(t1,t7)),and(t4,and(t5,or(t1,t7)))) ),[1,1],$fot(not(and(carry_def,cin)))]]) ).
cnf(refute_0_14889,plain,
( and(not(t6),or(t1,t7)) != and(t4,and(t5,or(t1,t7)))
| and(not(t6),or(t1,t7)) = and(t4,not(and(carry_def,cin))) ),
inference(resolve,[$cnf( $equal(and(t5,or(t1,t7)),not(and(carry_def,cin))) )],[refute_0_12313,refute_0_14888]) ).
cnf(refute_0_14890,plain,
and(not(t6),or(t1,t7)) = and(t4,not(and(carry_def,cin))),
inference(resolve,[$cnf( $equal(and(not(t6),or(t1,t7)),and(t4,and(t5,or(t1,t7)))) )],[refute_0_14887,refute_0_14889]) ).
cnf(refute_0_14891,plain,
not(or(not(or(X_813,t7)),t6)) = not(or(t6,not(or(X_813,t7)))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(t6)),bind(X_26,$fot(not(or(X_813,t7))))]]) ).
cnf(refute_0_14892,plain,
or(t6,not(Y)) = or(t6,or(not(t4),not(Y))),
inference(subst,[],[refute_0_7260:[bind(X_39,$fot(not(Y)))]]) ).
cnf(refute_0_14893,plain,
not(and(t4,Y)) = or(not(t4),not(Y)),
inference(subst,[],[and_demorgan:[bind(X,$fot(t4))]]) ).
cnf(refute_0_14894,plain,
( not(and(t4,Y)) != or(not(t4),not(Y))
| or(not(t4),not(Y)) = not(and(t4,Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(t4,Y)))),bind(Y0,$fot(or(not(t4),not(Y))))]]) ).
cnf(refute_0_14895,plain,
or(not(t4),not(Y)) = not(and(t4,Y)),
inference(resolve,[$cnf( $equal(not(and(t4,Y)),or(not(t4),not(Y))) )],[refute_0_14893,refute_0_14894]) ).
cnf(refute_0_14896,plain,
( or(not(t4),not(Y)) != not(and(t4,Y))
| or(t6,not(Y)) != or(t6,or(not(t4),not(Y)))
| or(t6,not(Y)) = or(t6,not(and(t4,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,not(Y)),or(t6,or(not(t4),not(Y)))) ),[1,1],$fot(not(and(t4,Y)))]]) ).
cnf(refute_0_14897,plain,
( or(t6,not(Y)) != or(t6,or(not(t4),not(Y)))
| or(t6,not(Y)) = or(t6,not(and(t4,Y))) ),
inference(resolve,[$cnf( $equal(or(not(t4),not(Y)),not(and(t4,Y))) )],[refute_0_14895,refute_0_14896]) ).
cnf(refute_0_14898,plain,
or(t6,not(Y)) = or(t6,not(and(t4,Y))),
inference(resolve,[$cnf( $equal(or(t6,not(Y)),or(t6,or(not(t4),not(Y)))) )],[refute_0_14892,refute_0_14897]) ).
cnf(refute_0_14899,plain,
or(t6,not(or(t7,X_791))) = or(t6,not(and(t4,or(t7,X_791)))),
inference(subst,[],[refute_0_14898:[bind(Y,$fot(or(t7,X_791)))]]) ).
cnf(refute_0_14900,plain,
and(t4,or(t7,X_791)) = t4,
inference(subst,[],[refute_0_10347:[bind(X_754,$fot(X_791))]]) ).
cnf(refute_0_14901,plain,
( and(t4,or(t7,X_791)) != t4
| or(t6,not(or(t7,X_791))) != or(t6,not(and(t4,or(t7,X_791))))
| or(t6,not(or(t7,X_791))) = or(t6,not(t4)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,not(or(t7,X_791))),or(t6,not(and(t4,or(t7,X_791))))) ),[1,1,0],$fot(t4)]]) ).
cnf(refute_0_14902,plain,
( or(t6,not(or(t7,X_791))) != or(t6,not(and(t4,or(t7,X_791))))
| or(t6,not(or(t7,X_791))) = or(t6,not(t4)) ),
inference(resolve,[$cnf( $equal(and(t4,or(t7,X_791)),t4) )],[refute_0_14900,refute_0_14901]) ).
cnf(refute_0_14903,plain,
or(t6,not(or(t7,X_791))) = or(t6,not(t4)),
inference(resolve,[$cnf( $equal(or(t6,not(or(t7,X_791))),or(t6,not(and(t4,or(t7,X_791))))) )],[refute_0_14899,refute_0_14902]) ).
cnf(refute_0_14904,plain,
( or(t6,not(or(t7,X_791))) != or(t6,not(t4))
| or(t6,not(t4)) != t6
| or(t6,not(or(t7,X_791))) = t6 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(t6,not(or(t7,X_791))),t6) ),[0],$fot(or(t6,not(t4)))]]) ).
cnf(refute_0_14905,plain,
( or(t6,not(or(t7,X_791))) != or(t6,not(t4))
| or(t6,not(or(t7,X_791))) = t6 ),
inference(resolve,[$cnf( $equal(or(t6,not(t4)),t6) )],[refute_0_7257,refute_0_14904]) ).
cnf(refute_0_14906,plain,
or(t6,not(or(t7,X_791))) = t6,
inference(resolve,[$cnf( $equal(or(t6,not(or(t7,X_791))),or(t6,not(t4))) )],[refute_0_14903,refute_0_14905]) ).
cnf(refute_0_14907,plain,
or(t6,not(or(t7,X_812))) = t6,
inference(subst,[],[refute_0_14906:[bind(X_791,$fot(X_812))]]) ).
cnf(refute_0_14908,plain,
or(X_812,t7) = or(t7,X_812),
inference(subst,[],[or_commutative:[bind(X,$fot(X_812)),bind(Y,$fot(t7))]]) ).
cnf(refute_0_14909,plain,
( or(X_812,t7) != or(t7,X_812)
| or(t7,X_812) = or(X_812,t7) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(X_812,t7))),bind(Y0,$fot(or(t7,X_812)))]]) ).
cnf(refute_0_14910,plain,
or(t7,X_812) = or(X_812,t7),
inference(resolve,[$cnf( $equal(or(X_812,t7),or(t7,X_812)) )],[refute_0_14908,refute_0_14909]) ).
cnf(refute_0_14911,plain,
( or(t6,not(or(t7,X_812))) != t6
| or(t7,X_812) != or(X_812,t7)
| or(t6,not(or(X_812,t7))) = t6 ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,not(or(t7,X_812))),t6) ),[0,1,0],$fot(or(X_812,t7))]]) ).
cnf(refute_0_14912,plain,
( or(t6,not(or(t7,X_812))) != t6
| or(t6,not(or(X_812,t7))) = t6 ),
inference(resolve,[$cnf( $equal(or(t7,X_812),or(X_812,t7)) )],[refute_0_14910,refute_0_14911]) ).
cnf(refute_0_14913,plain,
or(t6,not(or(X_812,t7))) = t6,
inference(resolve,[$cnf( $equal(or(t6,not(or(t7,X_812))),t6) )],[refute_0_14907,refute_0_14912]) ).
cnf(refute_0_14914,plain,
or(t6,not(or(X_813,t7))) = t6,
inference(subst,[],[refute_0_14913:[bind(X_812,$fot(X_813))]]) ).
cnf(refute_0_14915,plain,
( not(or(not(or(X_813,t7)),t6)) != not(or(t6,not(or(X_813,t7))))
| or(t6,not(or(X_813,t7))) != t6
| not(or(not(or(X_813,t7)),t6)) = not(t6) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(or(X_813,t7)),t6)),not(or(t6,not(or(X_813,t7))))) ),[1,0],$fot(t6)]]) ).
cnf(refute_0_14916,plain,
( not(or(not(or(X_813,t7)),t6)) != not(or(t6,not(or(X_813,t7))))
| not(or(not(or(X_813,t7)),t6)) = not(t6) ),
inference(resolve,[$cnf( $equal(or(t6,not(or(X_813,t7))),t6) )],[refute_0_14914,refute_0_14915]) ).
cnf(refute_0_14917,plain,
not(or(not(or(X_813,t7)),t6)) = not(t6),
inference(resolve,[$cnf( $equal(not(or(not(or(X_813,t7)),t6)),not(or(t6,not(or(X_813,t7))))) )],[refute_0_14891,refute_0_14916]) ).
cnf(refute_0_14918,plain,
not(or(t6,not(or(X_813,t7)))) = and(not(t6),or(X_813,t7)),
inference(subst,[],[refute_0_801:[bind(X,$fot(or(X_813,t7))),bind(X_25,$fot(t6))]]) ).
cnf(refute_0_14919,plain,
( not(or(not(or(X_813,t7)),t6)) != not(or(t6,not(or(X_813,t7))))
| not(or(t6,not(or(X_813,t7)))) != and(not(t6),or(X_813,t7))
| not(or(not(or(X_813,t7)),t6)) = and(not(t6),or(X_813,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(not(or(X_813,t7)),t6)))),bind(Y0,$fot(not(or(t6,not(or(X_813,t7)))))),bind(Z0,$fot(and(not(t6),or(X_813,t7))))]]) ).
cnf(refute_0_14920,plain,
( not(or(t6,not(or(X_813,t7)))) != and(not(t6),or(X_813,t7))
| not(or(not(or(X_813,t7)),t6)) = and(not(t6),or(X_813,t7)) ),
inference(resolve,[$cnf( $equal(not(or(not(or(X_813,t7)),t6)),not(or(t6,not(or(X_813,t7))))) )],[refute_0_14891,refute_0_14919]) ).
cnf(refute_0_14921,plain,
not(or(not(or(X_813,t7)),t6)) = and(not(t6),or(X_813,t7)),
inference(resolve,[$cnf( $equal(not(or(t6,not(or(X_813,t7)))),and(not(t6),or(X_813,t7))) )],[refute_0_14918,refute_0_14920]) ).
cnf(refute_0_14922,plain,
( not(or(not(or(X_813,t7)),t6)) != and(not(t6),or(X_813,t7))
| not(or(not(or(X_813,t7)),t6)) != not(t6)
| and(not(t6),or(X_813,t7)) = not(t6) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(or(X_813,t7)),t6)),not(t6)) ),[0],$fot(and(not(t6),or(X_813,t7)))]]) ).
cnf(refute_0_14923,plain,
( not(or(not(or(X_813,t7)),t6)) != not(t6)
| and(not(t6),or(X_813,t7)) = not(t6) ),
inference(resolve,[$cnf( $equal(not(or(not(or(X_813,t7)),t6)),and(not(t6),or(X_813,t7))) )],[refute_0_14921,refute_0_14922]) ).
cnf(refute_0_14924,plain,
and(not(t6),or(X_813,t7)) = not(t6),
inference(resolve,[$cnf( $equal(not(or(not(or(X_813,t7)),t6)),not(t6)) )],[refute_0_14917,refute_0_14923]) ).
cnf(refute_0_14925,plain,
and(not(t6),or(t1,t7)) = not(t6),
inference(subst,[],[refute_0_14924:[bind(X_813,$fot(t1))]]) ).
cnf(refute_0_14926,plain,
( and(not(t6),or(t1,t7)) != and(t4,not(and(carry_def,cin)))
| and(not(t6),or(t1,t7)) != not(t6)
| not(t6) = and(t4,not(and(carry_def,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),or(t1,t7)),and(t4,not(and(carry_def,cin)))) ),[0],$fot(not(t6))]]) ).
cnf(refute_0_14927,plain,
( and(not(t6),or(t1,t7)) != and(t4,not(and(carry_def,cin)))
| not(t6) = and(t4,not(and(carry_def,cin))) ),
inference(resolve,[$cnf( $equal(and(not(t6),or(t1,t7)),not(t6)) )],[refute_0_14925,refute_0_14926]) ).
cnf(refute_0_14928,plain,
not(t6) = and(t4,not(and(carry_def,cin))),
inference(resolve,[$cnf( $equal(and(not(t6),or(t1,t7)),and(t4,not(and(carry_def,cin)))) )],[refute_0_14890,refute_0_14927]) ).
cnf(refute_0_14929,plain,
( not(t6) != and(t4,not(and(carry_def,cin)))
| and(t4,not(and(carry_def,cin))) = not(t6) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t6))),bind(Y0,$fot(and(t4,not(and(carry_def,cin)))))]]) ).
cnf(refute_0_14930,plain,
and(t4,not(and(carry_def,cin))) = not(t6),
inference(resolve,[$cnf( $equal(not(t6),and(t4,not(and(carry_def,cin)))) )],[refute_0_14928,refute_0_14929]) ).
cnf(refute_0_14931,plain,
( and(t4,not(and(carry_def,cin))) != not(t6)
| or(and(t4,not(and(carry_def,cin))),and(not(t4),and(carry_def,cin))) != xor(t4,and(carry_def,cin))
| or(not(t6),and(not(t4),and(carry_def,cin))) = xor(t4,and(carry_def,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,not(and(carry_def,cin))),and(not(t4),and(carry_def,cin))),xor(t4,and(carry_def,cin))) ),[0,0],$fot(not(t6))]]) ).
cnf(refute_0_14932,plain,
( or(and(t4,not(and(carry_def,cin))),and(not(t4),and(carry_def,cin))) != xor(t4,and(carry_def,cin))
| or(not(t6),and(not(t4),and(carry_def,cin))) = xor(t4,and(carry_def,cin)) ),
inference(resolve,[$cnf( $equal(and(t4,not(and(carry_def,cin))),not(t6)) )],[refute_0_14930,refute_0_14931]) ).
cnf(refute_0_14933,plain,
or(not(t6),and(not(t4),and(carry_def,cin))) = xor(t4,and(carry_def,cin)),
inference(resolve,[$cnf( $equal(or(and(t4,not(and(carry_def,cin))),and(not(t4),and(carry_def,cin))),xor(t4,and(carry_def,cin))) )],[refute_0_14886,refute_0_14932]) ).
cnf(refute_0_14934,plain,
and(cin,and(not(t4),carry_def)) = and(carry_def,not(t7)),
inference(subst,[],[refute_0_13187:[bind(Z,$fot(carry_def))]]) ).
cnf(refute_0_14935,plain,
xor(t6,and(cin,and(not(t4),carry_def))) = xor(t6,and(cin,and(not(t4),carry_def))),
introduced(tautology,[refl,[$fot(xor(t6,and(cin,and(not(t4),carry_def))))]]) ).
cnf(refute_0_14936,plain,
( and(cin,and(not(t4),carry_def)) != and(carry_def,not(t7))
| xor(t6,and(cin,and(not(t4),carry_def))) != xor(t6,and(cin,and(not(t4),carry_def)))
| xor(t6,and(cin,and(not(t4),carry_def))) = xor(t6,and(carry_def,not(t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,and(cin,and(not(t4),carry_def))),xor(t6,and(cin,and(not(t4),carry_def)))) ),[1,1],$fot(and(carry_def,not(t7)))]]) ).
cnf(refute_0_14937,plain,
( and(cin,and(not(t4),carry_def)) != and(carry_def,not(t7))
| xor(t6,and(cin,and(not(t4),carry_def))) = xor(t6,and(carry_def,not(t7))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,and(not(t4),carry_def))),xor(t6,and(cin,and(not(t4),carry_def)))) )],[refute_0_14935,refute_0_14936]) ).
cnf(refute_0_14938,plain,
xor(t6,and(cin,and(not(t4),carry_def))) = xor(t6,and(carry_def,not(t7))),
inference(resolve,[$cnf( $equal(and(cin,and(not(t4),carry_def)),and(carry_def,not(t7))) )],[refute_0_14934,refute_0_14937]) ).
cnf(refute_0_14939,plain,
not(xor(t6,and(cin,and(not(t4),carry_def)))) = not(xor(t6,and(cin,and(not(t4),carry_def)))),
introduced(tautology,[refl,[$fot(not(xor(t6,and(cin,and(not(t4),carry_def)))))]]) ).
cnf(refute_0_14940,plain,
( not(xor(t6,and(cin,and(not(t4),carry_def)))) != not(xor(t6,and(cin,and(not(t4),carry_def))))
| xor(t6,and(cin,and(not(t4),carry_def))) != xor(t6,and(carry_def,not(t7)))
| not(xor(t6,and(cin,and(not(t4),carry_def)))) = not(xor(t6,and(carry_def,not(t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t6,and(cin,and(not(t4),carry_def)))),not(xor(t6,and(cin,and(not(t4),carry_def))))) ),[1,0],$fot(xor(t6,and(carry_def,not(t7))))]]) ).
cnf(refute_0_14941,plain,
( xor(t6,and(cin,and(not(t4),carry_def))) != xor(t6,and(carry_def,not(t7)))
| not(xor(t6,and(cin,and(not(t4),carry_def)))) = not(xor(t6,and(carry_def,not(t7)))) ),
inference(resolve,[$cnf( $equal(not(xor(t6,and(cin,and(not(t4),carry_def)))),not(xor(t6,and(cin,and(not(t4),carry_def))))) )],[refute_0_14939,refute_0_14940]) ).
cnf(refute_0_14942,plain,
not(xor(t6,and(cin,and(not(t4),carry_def)))) = not(xor(t6,and(carry_def,not(t7)))),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,and(not(t4),carry_def))),xor(t6,and(carry_def,not(t7)))) )],[refute_0_14938,refute_0_14941]) ).
cnf(refute_0_14943,plain,
not(xor(t6,and(and(X_220,X_221),cin))) = or(not(t6),and(and(X_220,X_221),cin)),
inference(subst,[],[refute_0_2344:[bind(X_75,$fot(and(X_220,X_221)))]]) ).
cnf(refute_0_14944,plain,
( and(and(X_220,X_221),cin) != and(X_220,and(X_221,cin))
| not(xor(t6,and(and(X_220,X_221),cin))) != or(not(t6),and(and(X_220,X_221),cin))
| not(xor(t6,and(and(X_220,X_221),cin))) = or(not(t6),and(X_220,and(X_221,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t6,and(and(X_220,X_221),cin))),or(not(t6),and(and(X_220,X_221),cin))) ),[1,1],$fot(and(X_220,and(X_221,cin)))]]) ).
cnf(refute_0_14945,plain,
( not(xor(t6,and(and(X_220,X_221),cin))) != or(not(t6),and(and(X_220,X_221),cin))
| not(xor(t6,and(and(X_220,X_221),cin))) = or(not(t6),and(X_220,and(X_221,cin))) ),
inference(resolve,[$cnf( $equal(and(and(X_220,X_221),cin),and(X_220,and(X_221,cin))) )],[refute_0_8103,refute_0_14944]) ).
cnf(refute_0_14946,plain,
not(xor(t6,and(and(X_220,X_221),cin))) = or(not(t6),and(X_220,and(X_221,cin))),
inference(resolve,[$cnf( $equal(not(xor(t6,and(and(X_220,X_221),cin))),or(not(t6),and(and(X_220,X_221),cin))) )],[refute_0_14943,refute_0_14945]) ).
cnf(refute_0_14947,plain,
and(cin,X_207) = and(X_207,cin),
inference(subst,[],[and_commutative:[bind(X,$fot(cin)),bind(Y,$fot(X_207))]]) ).
cnf(refute_0_14948,plain,
( and(cin,X_207) != and(X_207,cin)
| and(X_207,cin) = and(cin,X_207) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(cin,X_207))),bind(Y0,$fot(and(X_207,cin)))]]) ).
cnf(refute_0_14949,plain,
and(X_207,cin) = and(cin,X_207),
inference(resolve,[$cnf( $equal(and(cin,X_207),and(X_207,cin)) )],[refute_0_14947,refute_0_14948]) ).
cnf(refute_0_14950,plain,
( and(X_207,cin) != and(cin,X_207)
| not(xor(t6,and(X_207,cin))) != or(not(t6),and(X_207,cin))
| not(xor(t6,and(cin,X_207))) = or(not(t6),and(X_207,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t6,and(X_207,cin))),or(not(t6),and(X_207,cin))) ),[0,0,1],$fot(and(cin,X_207))]]) ).
cnf(refute_0_14951,plain,
( not(xor(t6,and(X_207,cin))) != or(not(t6),and(X_207,cin))
| not(xor(t6,and(cin,X_207))) = or(not(t6),and(X_207,cin)) ),
inference(resolve,[$cnf( $equal(and(X_207,cin),and(cin,X_207)) )],[refute_0_14949,refute_0_14950]) ).
cnf(refute_0_14952,plain,
not(xor(t6,and(cin,X_207))) = or(not(t6),and(X_207,cin)),
inference(resolve,[$cnf( $equal(not(xor(t6,and(X_207,cin))),or(not(t6),and(X_207,cin))) )],[refute_0_2345,refute_0_14951]) ).
cnf(refute_0_14953,plain,
( not(xor(t6,and(cin,X_207))) != or(not(t6),and(X_207,cin))
| or(not(t6),and(X_207,cin)) != not(xor(t6,and(X_207,cin)))
| not(xor(t6,and(cin,X_207))) = not(xor(t6,and(X_207,cin))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(t6,and(cin,X_207))),not(xor(t6,and(X_207,cin)))) ),[0],$fot(or(not(t6),and(X_207,cin)))]]) ).
cnf(refute_0_14954,plain,
( not(xor(t6,and(cin,X_207))) != or(not(t6),and(X_207,cin))
| not(xor(t6,and(cin,X_207))) = not(xor(t6,and(X_207,cin))) ),
inference(resolve,[$cnf( $equal(or(not(t6),and(X_207,cin)),not(xor(t6,and(X_207,cin)))) )],[refute_0_2347,refute_0_14953]) ).
cnf(refute_0_14955,plain,
not(xor(t6,and(cin,X_207))) = not(xor(t6,and(X_207,cin))),
inference(resolve,[$cnf( $equal(not(xor(t6,and(cin,X_207))),or(not(t6),and(X_207,cin))) )],[refute_0_14952,refute_0_14954]) ).
cnf(refute_0_14956,plain,
( not(xor(t6,and(cin,X_207))) != not(xor(t6,and(X_207,cin)))
| not(xor(t6,and(X_207,cin))) = not(xor(t6,and(cin,X_207))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(xor(t6,and(cin,X_207))))),bind(Y0,$fot(not(xor(t6,and(X_207,cin)))))]]) ).
cnf(refute_0_14957,plain,
not(xor(t6,and(X_207,cin))) = not(xor(t6,and(cin,X_207))),
inference(resolve,[$cnf( $equal(not(xor(t6,and(cin,X_207))),not(xor(t6,and(X_207,cin)))) )],[refute_0_14955,refute_0_14956]) ).
cnf(refute_0_14958,plain,
not(xor(t6,and(and(X_220,X_221),cin))) = not(xor(t6,and(cin,and(X_220,X_221)))),
inference(subst,[],[refute_0_14957:[bind(X_207,$fot(and(X_220,X_221)))]]) ).
cnf(refute_0_14959,plain,
( not(xor(t6,and(and(X_220,X_221),cin))) != not(xor(t6,and(cin,and(X_220,X_221))))
| not(xor(t6,and(and(X_220,X_221),cin))) != or(not(t6),and(X_220,and(X_221,cin)))
| not(xor(t6,and(cin,and(X_220,X_221)))) = or(not(t6),and(X_220,and(X_221,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t6,and(and(X_220,X_221),cin))),or(not(t6),and(X_220,and(X_221,cin)))) ),[0],$fot(not(xor(t6,and(cin,and(X_220,X_221)))))]]) ).
cnf(refute_0_14960,plain,
( not(xor(t6,and(and(X_220,X_221),cin))) != or(not(t6),and(X_220,and(X_221,cin)))
| not(xor(t6,and(cin,and(X_220,X_221)))) = or(not(t6),and(X_220,and(X_221,cin))) ),
inference(resolve,[$cnf( $equal(not(xor(t6,and(and(X_220,X_221),cin))),not(xor(t6,and(cin,and(X_220,X_221))))) )],[refute_0_14958,refute_0_14959]) ).
cnf(refute_0_14961,plain,
not(xor(t6,and(cin,and(X_220,X_221)))) = or(not(t6),and(X_220,and(X_221,cin))),
inference(resolve,[$cnf( $equal(not(xor(t6,and(and(X_220,X_221),cin))),or(not(t6),and(X_220,and(X_221,cin)))) )],[refute_0_14946,refute_0_14960]) ).
cnf(refute_0_14962,plain,
( not(xor(t6,and(cin,and(X_220,X_221)))) != or(not(t6),and(X_220,and(X_221,cin)))
| or(not(t6),and(X_220,and(X_221,cin))) = not(xor(t6,and(cin,and(X_220,X_221)))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(xor(t6,and(cin,and(X_220,X_221)))))),bind(Y0,$fot(or(not(t6),and(X_220,and(X_221,cin)))))]]) ).
cnf(refute_0_14963,plain,
or(not(t6),and(X_220,and(X_221,cin))) = not(xor(t6,and(cin,and(X_220,X_221)))),
inference(resolve,[$cnf( $equal(not(xor(t6,and(cin,and(X_220,X_221)))),or(not(t6),and(X_220,and(X_221,cin)))) )],[refute_0_14961,refute_0_14962]) ).
cnf(refute_0_14964,plain,
or(not(t6),and(not(t4),and(carry_def,cin))) = not(xor(t6,and(cin,and(not(t4),carry_def)))),
inference(subst,[],[refute_0_14963:[bind(X_220,$fot(not(t4))),bind(X_221,$fot(carry_def))]]) ).
cnf(refute_0_14965,plain,
( not(xor(t6,and(cin,and(not(t4),carry_def)))) != not(xor(t6,and(carry_def,not(t7))))
| or(not(t6),and(not(t4),and(carry_def,cin))) != not(xor(t6,and(cin,and(not(t4),carry_def))))
| or(not(t6),and(not(t4),and(carry_def,cin))) = not(xor(t6,and(carry_def,not(t7)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t6),and(not(t4),and(carry_def,cin))))),bind(Y0,$fot(not(xor(t6,and(cin,and(not(t4),carry_def)))))),bind(Z0,$fot(not(xor(t6,and(carry_def,not(t7))))))]]) ).
cnf(refute_0_14966,plain,
( not(xor(t6,and(cin,and(not(t4),carry_def)))) != not(xor(t6,and(carry_def,not(t7))))
| or(not(t6),and(not(t4),and(carry_def,cin))) = not(xor(t6,and(carry_def,not(t7)))) ),
inference(resolve,[$cnf( $equal(or(not(t6),and(not(t4),and(carry_def,cin))),not(xor(t6,and(cin,and(not(t4),carry_def))))) )],[refute_0_14964,refute_0_14965]) ).
cnf(refute_0_14967,plain,
or(not(t6),and(not(t4),and(carry_def,cin))) = not(xor(t6,and(carry_def,not(t7)))),
inference(resolve,[$cnf( $equal(not(xor(t6,and(cin,and(not(t4),carry_def)))),not(xor(t6,and(carry_def,not(t7))))) )],[refute_0_14942,refute_0_14966]) ).
cnf(refute_0_14968,plain,
( or(not(t6),and(not(t4),and(carry_def,cin))) != not(xor(t6,and(carry_def,not(t7))))
| or(not(t6),and(not(t4),and(carry_def,cin))) != xor(t4,and(carry_def,cin))
| not(xor(t6,and(carry_def,not(t7)))) = xor(t4,and(carry_def,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t6),and(not(t4),and(carry_def,cin))),xor(t4,and(carry_def,cin))) ),[0],$fot(not(xor(t6,and(carry_def,not(t7)))))]]) ).
cnf(refute_0_14969,plain,
( or(not(t6),and(not(t4),and(carry_def,cin))) != xor(t4,and(carry_def,cin))
| not(xor(t6,and(carry_def,not(t7)))) = xor(t4,and(carry_def,cin)) ),
inference(resolve,[$cnf( $equal(or(not(t6),and(not(t4),and(carry_def,cin))),not(xor(t6,and(carry_def,not(t7))))) )],[refute_0_14967,refute_0_14968]) ).
cnf(refute_0_14970,plain,
not(xor(t6,and(carry_def,not(t7)))) = xor(t4,and(carry_def,cin)),
inference(resolve,[$cnf( $equal(or(not(t6),and(not(t4),and(carry_def,cin))),xor(t4,and(carry_def,cin))) )],[refute_0_14933,refute_0_14969]) ).
cnf(refute_0_14971,plain,
xor(sum,xor(sum,and(sum,or(a,b)))) = and(sum,or(a,b)),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(sum)),bind(X_335,$fot(and(sum,or(a,b))))]]) ).
cnf(refute_0_14972,plain,
( xor(sum,and(sum,or(a,b))) != not(or(a,t7))
| xor(sum,xor(sum,and(sum,or(a,b)))) != and(sum,or(a,b))
| xor(sum,not(or(a,t7))) = and(sum,or(a,b)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,xor(sum,and(sum,or(a,b)))),and(sum,or(a,b))) ),[0,1],$fot(not(or(a,t7)))]]) ).
cnf(refute_0_14973,plain,
( xor(sum,xor(sum,and(sum,or(a,b)))) != and(sum,or(a,b))
| xor(sum,not(or(a,t7))) = and(sum,or(a,b)) ),
inference(resolve,[$cnf( $equal(xor(sum,and(sum,or(a,b))),not(or(a,t7))) )],[refute_0_11640,refute_0_14972]) ).
cnf(refute_0_14974,plain,
xor(sum,not(or(a,t7))) = and(sum,or(a,b)),
inference(resolve,[$cnf( $equal(xor(sum,xor(sum,and(sum,or(a,b)))),and(sum,or(a,b))) )],[refute_0_14971,refute_0_14973]) ).
cnf(refute_0_14975,plain,
xor(sum,not(or(a,t7))) = not(xor(sum,or(a,t7))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(sum)),bind(X_334,$fot(or(a,t7)))]]) ).
cnf(refute_0_14976,plain,
( not(xor(sum,or(a,t7))) != not(and(t6,or(t1,t7)))
| xor(sum,not(or(a,t7))) != not(xor(sum,or(a,t7)))
| xor(sum,not(or(a,t7))) = not(and(t6,or(t1,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(sum,not(or(a,t7))))),bind(Y0,$fot(not(xor(sum,or(a,t7))))),bind(Z0,$fot(not(and(t6,or(t1,t7)))))]]) ).
cnf(refute_0_14977,plain,
( not(xor(sum,or(a,t7))) != not(and(t6,or(t1,t7)))
| xor(sum,not(or(a,t7))) = not(and(t6,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(xor(sum,not(or(a,t7))),not(xor(sum,or(a,t7)))) )],[refute_0_14975,refute_0_14976]) ).
cnf(refute_0_14978,plain,
xor(sum,not(or(a,t7))) = not(and(t6,or(t1,t7))),
inference(resolve,[$cnf( $equal(not(xor(sum,or(a,t7))),not(and(t6,or(t1,t7)))) )],[refute_0_12641,refute_0_14977]) ).
cnf(refute_0_14979,plain,
( xor(sum,not(or(a,t7))) != and(sum,or(a,b))
| xor(sum,not(or(a,t7))) != not(and(t6,or(t1,t7)))
| not(and(t6,or(t1,t7))) = and(sum,or(a,b)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,not(or(a,t7))),and(sum,or(a,b))) ),[0],$fot(not(and(t6,or(t1,t7))))]]) ).
cnf(refute_0_14980,plain,
( xor(sum,not(or(a,t7))) != and(sum,or(a,b))
| not(and(t6,or(t1,t7))) = and(sum,or(a,b)) ),
inference(resolve,[$cnf( $equal(xor(sum,not(or(a,t7))),not(and(t6,or(t1,t7)))) )],[refute_0_14978,refute_0_14979]) ).
cnf(refute_0_14981,plain,
not(and(t6,or(t1,t7))) = and(sum,or(a,b)),
inference(resolve,[$cnf( $equal(xor(sum,not(or(a,t7))),and(sum,or(a,b))) )],[refute_0_14974,refute_0_14980]) ).
cnf(refute_0_14982,plain,
and(t6,or(xor(carry_def,t5),not(cin))) = xor(t6,and(cin,not(xor(carry_def,t5)))),
inference(subst,[],[refute_0_7533:[bind(X,$fot(xor(carry_def,t5)))]]) ).
cnf(refute_0_14983,plain,
not(not(and(carry_def,t5))) = and(carry_def,t5),
inference(subst,[],[not_involution:[bind(X,$fot(and(carry_def,t5)))]]) ).
cnf(refute_0_14984,plain,
or(and(carry_def,not(t5)),and(not(carry_def),t5)) = xor(carry_def,t5),
inference(subst,[],[refute_0_9:[bind(X,$fot(carry_def)),bind(Y,$fot(t5))]]) ).
cnf(refute_0_14985,plain,
not(or(not(carry_def),t5)) = not(or(t5,not(carry_def))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(t5)),bind(X_26,$fot(not(carry_def)))]]) ).
cnf(refute_0_14986,plain,
or(t5,and(t5,or(t1,t7))) = t5,
inference(subst,[],[or_absorption:[bind(X,$fot(t5)),bind(Y,$fot(or(t1,t7)))]]) ).
cnf(refute_0_14987,plain,
( and(t5,or(t1,t7)) != not(and(carry_def,cin))
| or(t5,and(t5,or(t1,t7))) != t5
| or(t5,not(and(carry_def,cin))) = t5 ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,and(t5,or(t1,t7))),t5) ),[0,1],$fot(not(and(carry_def,cin)))]]) ).
cnf(refute_0_14988,plain,
( or(t5,and(t5,or(t1,t7))) != t5
| or(t5,not(and(carry_def,cin))) = t5 ),
inference(resolve,[$cnf( $equal(and(t5,or(t1,t7)),not(and(carry_def,cin))) )],[refute_0_12313,refute_0_14987]) ).
cnf(refute_0_14989,plain,
or(t5,not(and(carry_def,cin))) = t5,
inference(resolve,[$cnf( $equal(or(t5,and(t5,or(t1,t7))),t5) )],[refute_0_14986,refute_0_14988]) ).
cnf(refute_0_14990,plain,
or(t5,X_114) = or(t5,or(not(cin),X_114)),
inference(subst,[],[refute_0_2295:[bind(X_39,$fot(X_114))]]) ).
cnf(refute_0_14991,plain,
or(X_114,not(cin)) = or(not(cin),X_114),
inference(subst,[],[or_commutative:[bind(X,$fot(X_114)),bind(Y,$fot(not(cin)))]]) ).
cnf(refute_0_14992,plain,
( or(X_114,not(cin)) != or(not(cin),X_114)
| or(not(cin),X_114) = or(X_114,not(cin)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(X_114,not(cin)))),bind(Y0,$fot(or(not(cin),X_114)))]]) ).
cnf(refute_0_14993,plain,
or(not(cin),X_114) = or(X_114,not(cin)),
inference(resolve,[$cnf( $equal(or(X_114,not(cin)),or(not(cin),X_114)) )],[refute_0_14991,refute_0_14992]) ).
cnf(refute_0_14994,plain,
( or(not(cin),X_114) != or(X_114,not(cin))
| or(t5,X_114) != or(t5,or(not(cin),X_114))
| or(t5,X_114) = or(t5,or(X_114,not(cin))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,X_114),or(t5,or(not(cin),X_114))) ),[1,1],$fot(or(X_114,not(cin)))]]) ).
cnf(refute_0_14995,plain,
( or(t5,X_114) != or(t5,or(not(cin),X_114))
| or(t5,X_114) = or(t5,or(X_114,not(cin))) ),
inference(resolve,[$cnf( $equal(or(not(cin),X_114),or(X_114,not(cin))) )],[refute_0_14993,refute_0_14994]) ).
cnf(refute_0_14996,plain,
or(t5,X_114) = or(t5,or(X_114,not(cin))),
inference(resolve,[$cnf( $equal(or(t5,X_114),or(t5,or(not(cin),X_114))) )],[refute_0_14990,refute_0_14995]) ).
cnf(refute_0_14997,plain,
or(t5,not(X)) = or(t5,or(not(X),not(cin))),
inference(subst,[],[refute_0_14996:[bind(X_114,$fot(not(X)))]]) ).
cnf(refute_0_14998,plain,
( or(not(X),not(cin)) != not(and(X,cin))
| or(t5,not(X)) != or(t5,or(not(X),not(cin)))
| or(t5,not(X)) = or(t5,not(and(X,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,not(X)),or(t5,or(not(X),not(cin)))) ),[1,1],$fot(not(and(X,cin)))]]) ).
cnf(refute_0_14999,plain,
( or(t5,not(X)) != or(t5,or(not(X),not(cin)))
| or(t5,not(X)) = or(t5,not(and(X,cin))) ),
inference(resolve,[$cnf( $equal(or(not(X),not(cin)),not(and(X,cin))) )],[refute_0_10295,refute_0_14998]) ).
cnf(refute_0_15000,plain,
or(t5,not(X)) = or(t5,not(and(X,cin))),
inference(resolve,[$cnf( $equal(or(t5,not(X)),or(t5,or(not(X),not(cin)))) )],[refute_0_14997,refute_0_14999]) ).
cnf(refute_0_15001,plain,
( or(t5,not(X)) != or(t5,not(and(X,cin)))
| or(t5,not(and(X,cin))) = or(t5,not(X)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(t5,not(X)))),bind(Y0,$fot(or(t5,not(and(X,cin)))))]]) ).
cnf(refute_0_15002,plain,
or(t5,not(and(X,cin))) = or(t5,not(X)),
inference(resolve,[$cnf( $equal(or(t5,not(X)),or(t5,not(and(X,cin)))) )],[refute_0_15000,refute_0_15001]) ).
cnf(refute_0_15003,plain,
or(t5,not(and(carry_def,cin))) = or(t5,not(carry_def)),
inference(subst,[],[refute_0_15002:[bind(X,$fot(carry_def))]]) ).
cnf(refute_0_15004,plain,
( or(t5,not(and(carry_def,cin))) != or(t5,not(carry_def))
| or(t5,not(and(carry_def,cin))) != t5
| or(t5,not(carry_def)) = t5 ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,not(and(carry_def,cin))),t5) ),[0],$fot(or(t5,not(carry_def)))]]) ).
cnf(refute_0_15005,plain,
( or(t5,not(and(carry_def,cin))) != t5
| or(t5,not(carry_def)) = t5 ),
inference(resolve,[$cnf( $equal(or(t5,not(and(carry_def,cin))),or(t5,not(carry_def))) )],[refute_0_15003,refute_0_15004]) ).
cnf(refute_0_15006,plain,
or(t5,not(carry_def)) = t5,
inference(resolve,[$cnf( $equal(or(t5,not(and(carry_def,cin))),t5) )],[refute_0_14989,refute_0_15005]) ).
cnf(refute_0_15007,plain,
( not(or(not(carry_def),t5)) != not(or(t5,not(carry_def)))
| or(t5,not(carry_def)) != t5
| not(or(not(carry_def),t5)) = not(t5) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(carry_def),t5)),not(or(t5,not(carry_def)))) ),[1,0],$fot(t5)]]) ).
cnf(refute_0_15008,plain,
( not(or(not(carry_def),t5)) != not(or(t5,not(carry_def)))
| not(or(not(carry_def),t5)) = not(t5) ),
inference(resolve,[$cnf( $equal(or(t5,not(carry_def)),t5) )],[refute_0_15006,refute_0_15007]) ).
cnf(refute_0_15009,plain,
not(or(not(carry_def),t5)) = not(t5),
inference(resolve,[$cnf( $equal(not(or(not(carry_def),t5)),not(or(t5,not(carry_def)))) )],[refute_0_14985,refute_0_15008]) ).
cnf(refute_0_15010,plain,
and(not(t5),carry_def) = and(carry_def,not(t5)),
inference(subst,[],[refute_0_4252:[bind(X_14,$fot(carry_def)),bind(X_669,$fot(not(t5)))]]) ).
cnf(refute_0_15011,plain,
not(or(t5,not(carry_def))) = and(not(t5),carry_def),
inference(subst,[],[refute_0_801:[bind(X,$fot(carry_def)),bind(X_25,$fot(t5))]]) ).
cnf(refute_0_15012,plain,
( and(not(t5),carry_def) != and(carry_def,not(t5))
| not(or(t5,not(carry_def))) != and(not(t5),carry_def)
| not(or(t5,not(carry_def))) = and(carry_def,not(t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(t5,not(carry_def))))),bind(Y0,$fot(and(not(t5),carry_def))),bind(Z0,$fot(and(carry_def,not(t5))))]]) ).
cnf(refute_0_15013,plain,
( and(not(t5),carry_def) != and(carry_def,not(t5))
| not(or(t5,not(carry_def))) = and(carry_def,not(t5)) ),
inference(resolve,[$cnf( $equal(not(or(t5,not(carry_def))),and(not(t5),carry_def)) )],[refute_0_15011,refute_0_15012]) ).
cnf(refute_0_15014,plain,
not(or(t5,not(carry_def))) = and(carry_def,not(t5)),
inference(resolve,[$cnf( $equal(and(not(t5),carry_def),and(carry_def,not(t5))) )],[refute_0_15010,refute_0_15013]) ).
cnf(refute_0_15015,plain,
( not(or(not(carry_def),t5)) != not(or(t5,not(carry_def)))
| not(or(t5,not(carry_def))) != and(carry_def,not(t5))
| not(or(not(carry_def),t5)) = and(carry_def,not(t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(not(carry_def),t5)))),bind(Y0,$fot(not(or(t5,not(carry_def))))),bind(Z0,$fot(and(carry_def,not(t5))))]]) ).
cnf(refute_0_15016,plain,
( not(or(t5,not(carry_def))) != and(carry_def,not(t5))
| not(or(not(carry_def),t5)) = and(carry_def,not(t5)) ),
inference(resolve,[$cnf( $equal(not(or(not(carry_def),t5)),not(or(t5,not(carry_def)))) )],[refute_0_14985,refute_0_15015]) ).
cnf(refute_0_15017,plain,
not(or(not(carry_def),t5)) = and(carry_def,not(t5)),
inference(resolve,[$cnf( $equal(not(or(t5,not(carry_def))),and(carry_def,not(t5))) )],[refute_0_15014,refute_0_15016]) ).
cnf(refute_0_15018,plain,
( not(or(not(carry_def),t5)) != and(carry_def,not(t5))
| not(or(not(carry_def),t5)) != not(t5)
| and(carry_def,not(t5)) = not(t5) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(carry_def),t5)),not(t5)) ),[0],$fot(and(carry_def,not(t5)))]]) ).
cnf(refute_0_15019,plain,
( not(or(not(carry_def),t5)) != not(t5)
| and(carry_def,not(t5)) = not(t5) ),
inference(resolve,[$cnf( $equal(not(or(not(carry_def),t5)),and(carry_def,not(t5))) )],[refute_0_15017,refute_0_15018]) ).
cnf(refute_0_15020,plain,
and(carry_def,not(t5)) = not(t5),
inference(resolve,[$cnf( $equal(not(or(not(carry_def),t5)),not(t5)) )],[refute_0_15009,refute_0_15019]) ).
cnf(refute_0_15021,plain,
( and(carry_def,not(t5)) != not(t5)
| or(and(carry_def,not(t5)),and(not(carry_def),t5)) != xor(carry_def,t5)
| or(not(t5),and(not(carry_def),t5)) = xor(carry_def,t5) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(carry_def,not(t5)),and(not(carry_def),t5)),xor(carry_def,t5)) ),[0,0],$fot(not(t5))]]) ).
cnf(refute_0_15022,plain,
( or(and(carry_def,not(t5)),and(not(carry_def),t5)) != xor(carry_def,t5)
| or(not(t5),and(not(carry_def),t5)) = xor(carry_def,t5) ),
inference(resolve,[$cnf( $equal(and(carry_def,not(t5)),not(t5)) )],[refute_0_15020,refute_0_15021]) ).
cnf(refute_0_15023,plain,
or(not(t5),and(not(carry_def),t5)) = xor(carry_def,t5),
inference(resolve,[$cnf( $equal(or(and(carry_def,not(t5)),and(not(carry_def),t5)),xor(carry_def,t5)) )],[refute_0_14984,refute_0_15022]) ).
cnf(refute_0_15024,plain,
and(t5,carry_def) = and(carry_def,t5),
inference(subst,[],[refute_0_4252:[bind(X_14,$fot(carry_def)),bind(X_669,$fot(t5))]]) ).
cnf(refute_0_15025,plain,
and(t5,or(carry_def,not(t5))) = and(t5,carry_def),
inference(subst,[],[refute_0_14686:[bind(X_752,$fot(t5)),bind(X_753,$fot(carry_def))]]) ).
cnf(refute_0_15026,plain,
( and(t5,carry_def) != and(carry_def,t5)
| and(t5,or(carry_def,not(t5))) != and(t5,carry_def)
| and(t5,or(carry_def,not(t5))) = and(carry_def,t5) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t5,or(carry_def,not(t5))))),bind(Y0,$fot(and(t5,carry_def))),bind(Z0,$fot(and(carry_def,t5)))]]) ).
cnf(refute_0_15027,plain,
( and(t5,carry_def) != and(carry_def,t5)
| and(t5,or(carry_def,not(t5))) = and(carry_def,t5) ),
inference(resolve,[$cnf( $equal(and(t5,or(carry_def,not(t5))),and(t5,carry_def)) )],[refute_0_15025,refute_0_15026]) ).
cnf(refute_0_15028,plain,
and(t5,or(carry_def,not(t5))) = and(carry_def,t5),
inference(resolve,[$cnf( $equal(and(t5,carry_def),and(carry_def,t5)) )],[refute_0_15024,refute_0_15027]) ).
cnf(refute_0_15029,plain,
not(and(t5,or(carry_def,not(t5)))) = not(and(t5,or(carry_def,not(t5)))),
introduced(tautology,[refl,[$fot(not(and(t5,or(carry_def,not(t5)))))]]) ).
cnf(refute_0_15030,plain,
( and(t5,or(carry_def,not(t5))) != and(carry_def,t5)
| not(and(t5,or(carry_def,not(t5)))) != not(and(t5,or(carry_def,not(t5))))
| not(and(t5,or(carry_def,not(t5)))) = not(and(carry_def,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(t5,or(carry_def,not(t5)))),not(and(t5,or(carry_def,not(t5))))) ),[1,0],$fot(and(carry_def,t5))]]) ).
cnf(refute_0_15031,plain,
( and(t5,or(carry_def,not(t5))) != and(carry_def,t5)
| not(and(t5,or(carry_def,not(t5)))) = not(and(carry_def,t5)) ),
inference(resolve,[$cnf( $equal(not(and(t5,or(carry_def,not(t5)))),not(and(t5,or(carry_def,not(t5))))) )],[refute_0_15029,refute_0_15030]) ).
cnf(refute_0_15032,plain,
not(and(t5,or(carry_def,not(t5)))) = not(and(carry_def,t5)),
inference(resolve,[$cnf( $equal(and(t5,or(carry_def,not(t5))),and(carry_def,t5)) )],[refute_0_15028,refute_0_15031]) ).
cnf(refute_0_15033,plain,
not(or(and(X_752,X_754),and(X_752,X_753))) = not(or(and(X_752,X_753),and(X_752,X_754))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(and(X_752,X_753))),bind(X_26,$fot(and(X_752,X_754)))]]) ).
cnf(refute_0_15034,plain,
( not(or(and(X_752,X_754),and(X_752,X_753))) != not(or(and(X_752,X_753),and(X_752,X_754)))
| or(and(X_752,X_753),and(X_752,X_754)) != and(X_752,or(X_753,X_754))
| not(or(and(X_752,X_754),and(X_752,X_753))) = not(and(X_752,or(X_753,X_754))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(and(X_752,X_754),and(X_752,X_753))),not(or(and(X_752,X_753),and(X_752,X_754)))) ),[1,0],$fot(and(X_752,or(X_753,X_754)))]]) ).
cnf(refute_0_15035,plain,
( not(or(and(X_752,X_754),and(X_752,X_753))) != not(or(and(X_752,X_753),and(X_752,X_754)))
| not(or(and(X_752,X_754),and(X_752,X_753))) = not(and(X_752,or(X_753,X_754))) ),
inference(resolve,[$cnf( $equal(or(and(X_752,X_753),and(X_752,X_754)),and(X_752,or(X_753,X_754))) )],[refute_0_13671,refute_0_15034]) ).
cnf(refute_0_15036,plain,
not(or(and(X_752,X_754),and(X_752,X_753))) = not(and(X_752,or(X_753,X_754))),
inference(resolve,[$cnf( $equal(not(or(and(X_752,X_754),and(X_752,X_753))),not(or(and(X_752,X_753),and(X_752,X_754)))) )],[refute_0_15033,refute_0_15035]) ).
cnf(refute_0_15037,plain,
not(or(and(X_752,X_754),and(X_752,X_753))) = not(or(and(X_752,X_754),and(X_752,X_753))),
introduced(tautology,[refl,[$fot(not(or(and(X_752,X_754),and(X_752,X_753))))]]) ).
cnf(refute_0_15038,plain,
( not(or(and(X_752,X_754),and(X_752,X_753))) != not(or(and(X_752,X_754),and(X_752,X_753)))
| or(and(X_752,X_754),and(X_752,X_753)) != and(X_752,or(X_754,X_753))
| not(or(and(X_752,X_754),and(X_752,X_753))) = not(and(X_752,or(X_754,X_753))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(and(X_752,X_754),and(X_752,X_753))),not(or(and(X_752,X_754),and(X_752,X_753)))) ),[1,0],$fot(and(X_752,or(X_754,X_753)))]]) ).
cnf(refute_0_15039,plain,
( or(and(X_752,X_754),and(X_752,X_753)) != and(X_752,or(X_754,X_753))
| not(or(and(X_752,X_754),and(X_752,X_753))) = not(and(X_752,or(X_754,X_753))) ),
inference(resolve,[$cnf( $equal(not(or(and(X_752,X_754),and(X_752,X_753))),not(or(and(X_752,X_754),and(X_752,X_753)))) )],[refute_0_15037,refute_0_15038]) ).
cnf(refute_0_15040,plain,
not(or(and(X_752,X_754),and(X_752,X_753))) = not(and(X_752,or(X_754,X_753))),
inference(resolve,[$cnf( $equal(or(and(X_752,X_754),and(X_752,X_753)),and(X_752,or(X_754,X_753))) )],[refute_0_13675,refute_0_15039]) ).
cnf(refute_0_15041,plain,
( not(or(and(X_752,X_754),and(X_752,X_753))) != not(and(X_752,or(X_753,X_754)))
| not(or(and(X_752,X_754),and(X_752,X_753))) != not(and(X_752,or(X_754,X_753)))
| not(and(X_752,or(X_754,X_753))) = not(and(X_752,or(X_753,X_754))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(and(X_752,X_754),and(X_752,X_753))),not(and(X_752,or(X_753,X_754)))) ),[0],$fot(not(and(X_752,or(X_754,X_753))))]]) ).
cnf(refute_0_15042,plain,
( not(or(and(X_752,X_754),and(X_752,X_753))) != not(and(X_752,or(X_753,X_754)))
| not(and(X_752,or(X_754,X_753))) = not(and(X_752,or(X_753,X_754))) ),
inference(resolve,[$cnf( $equal(not(or(and(X_752,X_754),and(X_752,X_753))),not(and(X_752,or(X_754,X_753)))) )],[refute_0_15040,refute_0_15041]) ).
cnf(refute_0_15043,plain,
not(and(X_752,or(X_754,X_753))) = not(and(X_752,or(X_753,X_754))),
inference(resolve,[$cnf( $equal(not(or(and(X_752,X_754),and(X_752,X_753))),not(and(X_752,or(X_753,X_754)))) )],[refute_0_15036,refute_0_15042]) ).
cnf(refute_0_15044,plain,
( not(and(X_752,or(X_754,X_753))) != not(and(X_752,or(X_753,X_754)))
| not(and(X_752,or(X_753,X_754))) = not(and(X_752,or(X_754,X_753))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(X_752,or(X_754,X_753))))),bind(Y0,$fot(not(and(X_752,or(X_753,X_754)))))]]) ).
cnf(refute_0_15045,plain,
not(and(X_752,or(X_753,X_754))) = not(and(X_752,or(X_754,X_753))),
inference(resolve,[$cnf( $equal(not(and(X_752,or(X_754,X_753))),not(and(X_752,or(X_753,X_754)))) )],[refute_0_15043,refute_0_15044]) ).
cnf(refute_0_15046,plain,
not(and(t5,or(not(t5),carry_def))) = not(and(t5,or(carry_def,not(t5)))),
inference(subst,[],[refute_0_15045:[bind(X_752,$fot(t5)),bind(X_753,$fot(not(t5))),bind(X_754,$fot(carry_def))]]) ).
cnf(refute_0_15047,plain,
not(and(X_31,or(not(X),X_26))) = or(not(X_31),not(or(not(X),X_26))),
inference(subst,[],[and_demorgan:[bind(X,$fot(X_31)),bind(Y,$fot(or(not(X),X_26)))]]) ).
cnf(refute_0_15048,plain,
( not(and(X_31,or(not(X),X_26))) != or(not(X_31),not(or(not(X),X_26)))
| not(or(not(X),X_26)) != and(X,not(X_26))
| not(and(X_31,or(not(X),X_26))) = or(not(X_31),and(X,not(X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X_31,or(not(X),X_26))),or(not(X_31),not(or(not(X),X_26)))) ),[1,1],$fot(and(X,not(X_26)))]]) ).
cnf(refute_0_15049,plain,
( not(and(X_31,or(not(X),X_26))) != or(not(X_31),not(or(not(X),X_26)))
| not(and(X_31,or(not(X),X_26))) = or(not(X_31),and(X,not(X_26))) ),
inference(resolve,[$cnf( $equal(not(or(not(X),X_26)),and(X,not(X_26))) )],[refute_0_159,refute_0_15048]) ).
cnf(refute_0_15050,plain,
not(and(X_31,or(not(X),X_26))) = or(not(X_31),and(X,not(X_26))),
inference(resolve,[$cnf( $equal(not(and(X_31,or(not(X),X_26))),or(not(X_31),not(or(not(X),X_26)))) )],[refute_0_15047,refute_0_15049]) ).
cnf(refute_0_15051,plain,
( not(and(X_31,or(not(X),X_26))) != or(not(X_31),and(X,not(X_26)))
| or(not(X_31),and(X,not(X_26))) = not(and(X_31,or(not(X),X_26))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(X_31,or(not(X),X_26))))),bind(Y0,$fot(or(not(X_31),and(X,not(X_26)))))]]) ).
cnf(refute_0_15052,plain,
or(not(X_31),and(X,not(X_26))) = not(and(X_31,or(not(X),X_26))),
inference(resolve,[$cnf( $equal(not(and(X_31,or(not(X),X_26))),or(not(X_31),and(X,not(X_26)))) )],[refute_0_15050,refute_0_15051]) ).
cnf(refute_0_15053,plain,
or(not(t5),and(t5,not(carry_def))) = not(and(t5,or(not(t5),carry_def))),
inference(subst,[],[refute_0_15052:[bind(X,$fot(t5)),bind(X_26,$fot(carry_def)),bind(X_31,$fot(t5))]]) ).
cnf(refute_0_15054,plain,
( not(and(t5,or(not(t5),carry_def))) != not(and(t5,or(carry_def,not(t5))))
| or(not(t5),and(t5,not(carry_def))) != not(and(t5,or(not(t5),carry_def)))
| or(not(t5),and(t5,not(carry_def))) = not(and(t5,or(carry_def,not(t5)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t5),and(t5,not(carry_def))))),bind(Y0,$fot(not(and(t5,or(not(t5),carry_def))))),bind(Z0,$fot(not(and(t5,or(carry_def,not(t5))))))]]) ).
cnf(refute_0_15055,plain,
( not(and(t5,or(not(t5),carry_def))) != not(and(t5,or(carry_def,not(t5))))
| or(not(t5),and(t5,not(carry_def))) = not(and(t5,or(carry_def,not(t5)))) ),
inference(resolve,[$cnf( $equal(or(not(t5),and(t5,not(carry_def))),not(and(t5,or(not(t5),carry_def)))) )],[refute_0_15053,refute_0_15054]) ).
cnf(refute_0_15056,plain,
or(not(t5),and(t5,not(carry_def))) = not(and(t5,or(carry_def,not(t5)))),
inference(resolve,[$cnf( $equal(not(and(t5,or(not(t5),carry_def))),not(and(t5,or(carry_def,not(t5))))) )],[refute_0_15046,refute_0_15055]) ).
cnf(refute_0_15057,plain,
or(not(t5),and(not(carry_def),t5)) = or(not(t5),and(t5,not(carry_def))),
inference(subst,[],[refute_0_4342:[bind(X_818,$fot(not(t5))),bind(X_819,$fot(not(carry_def))),bind(X_820,$fot(t5))]]) ).
cnf(refute_0_15058,plain,
( or(not(t5),and(not(carry_def),t5)) != or(not(t5),and(t5,not(carry_def)))
| or(not(t5),and(t5,not(carry_def))) != not(and(t5,or(carry_def,not(t5))))
| or(not(t5),and(not(carry_def),t5)) = not(and(t5,or(carry_def,not(t5)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t5),and(not(carry_def),t5)))),bind(Y0,$fot(or(not(t5),and(t5,not(carry_def))))),bind(Z0,$fot(not(and(t5,or(carry_def,not(t5))))))]]) ).
cnf(refute_0_15059,plain,
( or(not(t5),and(t5,not(carry_def))) != not(and(t5,or(carry_def,not(t5))))
| or(not(t5),and(not(carry_def),t5)) = not(and(t5,or(carry_def,not(t5)))) ),
inference(resolve,[$cnf( $equal(or(not(t5),and(not(carry_def),t5)),or(not(t5),and(t5,not(carry_def)))) )],[refute_0_15057,refute_0_15058]) ).
cnf(refute_0_15060,plain,
or(not(t5),and(not(carry_def),t5)) = not(and(t5,or(carry_def,not(t5)))),
inference(resolve,[$cnf( $equal(or(not(t5),and(t5,not(carry_def))),not(and(t5,or(carry_def,not(t5))))) )],[refute_0_15056,refute_0_15059]) ).
cnf(refute_0_15061,plain,
( not(and(t5,or(carry_def,not(t5)))) != not(and(carry_def,t5))
| or(not(t5),and(not(carry_def),t5)) != not(and(t5,or(carry_def,not(t5))))
| or(not(t5),and(not(carry_def),t5)) = not(and(carry_def,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t5),and(not(carry_def),t5)))),bind(Y0,$fot(not(and(t5,or(carry_def,not(t5)))))),bind(Z0,$fot(not(and(carry_def,t5))))]]) ).
cnf(refute_0_15062,plain,
( not(and(t5,or(carry_def,not(t5)))) != not(and(carry_def,t5))
| or(not(t5),and(not(carry_def),t5)) = not(and(carry_def,t5)) ),
inference(resolve,[$cnf( $equal(or(not(t5),and(not(carry_def),t5)),not(and(t5,or(carry_def,not(t5))))) )],[refute_0_15060,refute_0_15061]) ).
cnf(refute_0_15063,plain,
or(not(t5),and(not(carry_def),t5)) = not(and(carry_def,t5)),
inference(resolve,[$cnf( $equal(not(and(t5,or(carry_def,not(t5)))),not(and(carry_def,t5))) )],[refute_0_15032,refute_0_15062]) ).
cnf(refute_0_15064,plain,
( or(not(t5),and(not(carry_def),t5)) != not(and(carry_def,t5))
| or(not(t5),and(not(carry_def),t5)) != xor(carry_def,t5)
| not(and(carry_def,t5)) = xor(carry_def,t5) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t5),and(not(carry_def),t5)),xor(carry_def,t5)) ),[0],$fot(not(and(carry_def,t5)))]]) ).
cnf(refute_0_15065,plain,
( or(not(t5),and(not(carry_def),t5)) != xor(carry_def,t5)
| not(and(carry_def,t5)) = xor(carry_def,t5) ),
inference(resolve,[$cnf( $equal(or(not(t5),and(not(carry_def),t5)),not(and(carry_def,t5))) )],[refute_0_15063,refute_0_15064]) ).
cnf(refute_0_15066,plain,
not(and(carry_def,t5)) = xor(carry_def,t5),
inference(resolve,[$cnf( $equal(or(not(t5),and(not(carry_def),t5)),xor(carry_def,t5)) )],[refute_0_15023,refute_0_15065]) ).
cnf(refute_0_15067,plain,
( not(and(carry_def,t5)) != xor(carry_def,t5)
| not(not(and(carry_def,t5))) != and(carry_def,t5)
| not(xor(carry_def,t5)) = and(carry_def,t5) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(carry_def,t5))),and(carry_def,t5)) ),[0,0],$fot(xor(carry_def,t5))]]) ).
cnf(refute_0_15068,plain,
( not(not(and(carry_def,t5))) != and(carry_def,t5)
| not(xor(carry_def,t5)) = and(carry_def,t5) ),
inference(resolve,[$cnf( $equal(not(and(carry_def,t5)),xor(carry_def,t5)) )],[refute_0_15066,refute_0_15067]) ).
cnf(refute_0_15069,plain,
not(xor(carry_def,t5)) = and(carry_def,t5),
inference(resolve,[$cnf( $equal(not(not(and(carry_def,t5))),and(carry_def,t5)) )],[refute_0_14983,refute_0_15068]) ).
cnf(refute_0_15070,plain,
( and(t6,or(xor(carry_def,t5),not(cin))) != xor(t6,and(cin,not(xor(carry_def,t5))))
| not(xor(carry_def,t5)) != and(carry_def,t5)
| and(t6,or(xor(carry_def,t5),not(cin))) = xor(t6,and(cin,and(carry_def,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(xor(carry_def,t5),not(cin))),xor(t6,and(cin,not(xor(carry_def,t5))))) ),[1,1,1],$fot(and(carry_def,t5))]]) ).
cnf(refute_0_15071,plain,
( and(t6,or(xor(carry_def,t5),not(cin))) != xor(t6,and(cin,not(xor(carry_def,t5))))
| and(t6,or(xor(carry_def,t5),not(cin))) = xor(t6,and(cin,and(carry_def,t5))) ),
inference(resolve,[$cnf( $equal(not(xor(carry_def,t5)),and(carry_def,t5)) )],[refute_0_15069,refute_0_15070]) ).
cnf(refute_0_15072,plain,
and(t6,or(xor(carry_def,t5),not(cin))) = xor(t6,and(cin,and(carry_def,t5))),
inference(resolve,[$cnf( $equal(and(t6,or(xor(carry_def,t5),not(cin))),xor(t6,and(cin,not(xor(carry_def,t5))))) )],[refute_0_14982,refute_0_15071]) ).
cnf(refute_0_15073,plain,
or(not(xor(t7,or(carry,t7))),and(t5,not(xor(t7,or(carry,t7))))) = not(xor(t7,or(carry,t7))),
inference(subst,[],[refute_0_222:[bind(X_13,$fot(not(xor(t7,or(carry,t7))))),bind(X_14,$fot(t5))]]) ).
cnf(refute_0_15074,plain,
( and(t5,not(xor(t7,or(carry,t7)))) != xor(cin,or(carry,t7))
| or(not(xor(t7,or(carry,t7))),and(t5,not(xor(t7,or(carry,t7))))) != not(xor(t7,or(carry,t7)))
| or(not(xor(t7,or(carry,t7))),xor(cin,or(carry,t7))) = not(xor(t7,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(xor(t7,or(carry,t7))),and(t5,not(xor(t7,or(carry,t7))))),not(xor(t7,or(carry,t7)))) ),[0,1],$fot(xor(cin,or(carry,t7)))]]) ).
cnf(refute_0_15075,plain,
( or(not(xor(t7,or(carry,t7))),and(t5,not(xor(t7,or(carry,t7))))) != not(xor(t7,or(carry,t7)))
| or(not(xor(t7,or(carry,t7))),xor(cin,or(carry,t7))) = not(xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t7,or(carry,t7)))),xor(cin,or(carry,t7))) )],[refute_0_12040,refute_0_15074]) ).
cnf(refute_0_15076,plain,
or(not(xor(t7,or(carry,t7))),xor(cin,or(carry,t7))) = not(xor(t7,or(carry,t7))),
inference(resolve,[$cnf( $equal(or(not(xor(t7,or(carry,t7))),and(t5,not(xor(t7,or(carry,t7))))),not(xor(t7,or(carry,t7)))) )],[refute_0_15073,refute_0_15075]) ).
cnf(refute_0_15077,plain,
or(not(xor(t7,or(carry,t7))),xor(cin,or(carry,t7))) = or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7)))),
inference(subst,[],[refute_0_5:[bind(X,$fot(xor(cin,or(carry,t7)))),bind(Y,$fot(not(xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_15078,plain,
( or(not(xor(t7,or(carry,t7))),xor(cin,or(carry,t7))) != not(xor(t7,or(carry,t7)))
| or(not(xor(t7,or(carry,t7))),xor(cin,or(carry,t7))) != or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7))))
| or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7)))) = not(xor(t7,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(xor(t7,or(carry,t7))),xor(cin,or(carry,t7))),not(xor(t7,or(carry,t7)))) ),[0],$fot(or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_15079,plain,
( or(not(xor(t7,or(carry,t7))),xor(cin,or(carry,t7))) != not(xor(t7,or(carry,t7)))
| or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7)))) = not(xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(or(not(xor(t7,or(carry,t7))),xor(cin,or(carry,t7))),or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7))))) )],[refute_0_15077,refute_0_15078]) ).
cnf(refute_0_15080,plain,
or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7)))) = not(xor(t7,or(carry,t7))),
inference(resolve,[$cnf( $equal(or(not(xor(t7,or(carry,t7))),xor(cin,or(carry,t7))),not(xor(t7,or(carry,t7)))) )],[refute_0_15076,refute_0_15079]) ).
cnf(refute_0_15081,plain,
or(xor(cin,or(a,t7)),not(xor(t7,or(carry,t7)))) = or(xor(cin,or(a,t7)),not(xor(t7,or(carry,t7)))),
introduced(tautology,[refl,[$fot(or(xor(cin,or(a,t7)),not(xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_15082,plain,
( not(xor(t7,or(carry,t7))) != not(xor(t7,or(a,t7)))
| or(xor(cin,or(a,t7)),not(xor(t7,or(carry,t7)))) != or(xor(cin,or(a,t7)),not(xor(t7,or(carry,t7))))
| or(xor(cin,or(a,t7)),not(xor(t7,or(carry,t7)))) = or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(cin,or(a,t7)),not(xor(t7,or(carry,t7)))),or(xor(cin,or(a,t7)),not(xor(t7,or(carry,t7))))) ),[1,1],$fot(not(xor(t7,or(a,t7))))]]) ).
cnf(refute_0_15083,plain,
( not(xor(t7,or(carry,t7))) != not(xor(t7,or(a,t7)))
| or(xor(cin,or(a,t7)),not(xor(t7,or(carry,t7)))) = or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(or(xor(cin,or(a,t7)),not(xor(t7,or(carry,t7)))),or(xor(cin,or(a,t7)),not(xor(t7,or(carry,t7))))) )],[refute_0_15081,refute_0_15082]) ).
cnf(refute_0_15084,plain,
or(xor(cin,or(a,t7)),not(xor(t7,or(carry,t7)))) = or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))),
inference(resolve,[$cnf( $equal(not(xor(t7,or(carry,t7))),not(xor(t7,or(a,t7)))) )],[refute_0_7862,refute_0_15083]) ).
cnf(refute_0_15085,plain,
or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7)))) = or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7)))),
introduced(tautology,[refl,[$fot(or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_15086,plain,
( or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7)))) != or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7))))
| xor(cin,or(carry,t7)) != xor(cin,or(a,t7))
| or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7)))) = or(xor(cin,or(a,t7)),not(xor(t7,or(carry,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7)))),or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7))))) ),[1,0],$fot(xor(cin,or(a,t7)))]]) ).
cnf(refute_0_15087,plain,
( xor(cin,or(carry,t7)) != xor(cin,or(a,t7))
| or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7)))) = or(xor(cin,or(a,t7)),not(xor(t7,or(carry,t7)))) ),
inference(resolve,[$cnf( $equal(or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7)))),or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7))))) )],[refute_0_15085,refute_0_15086]) ).
cnf(refute_0_15088,plain,
or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7)))) = or(xor(cin,or(a,t7)),not(xor(t7,or(carry,t7)))),
inference(resolve,[$cnf( $equal(xor(cin,or(carry,t7)),xor(cin,or(a,t7))) )],[refute_0_12061,refute_0_15087]) ).
cnf(refute_0_15089,plain,
( or(xor(cin,or(a,t7)),not(xor(t7,or(carry,t7)))) != or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7))))
| or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7)))) != or(xor(cin,or(a,t7)),not(xor(t7,or(carry,t7))))
| or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7)))) = or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7)))))),bind(Y0,$fot(or(xor(cin,or(a,t7)),not(xor(t7,or(carry,t7)))))),bind(Z0,$fot(or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7))))))]]) ).
cnf(refute_0_15090,plain,
( or(xor(cin,or(a,t7)),not(xor(t7,or(carry,t7)))) != or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7))))
| or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7)))) = or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7)))),or(xor(cin,or(a,t7)),not(xor(t7,or(carry,t7))))) )],[refute_0_15088,refute_0_15089]) ).
cnf(refute_0_15091,plain,
or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7)))) = or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))),
inference(resolve,[$cnf( $equal(or(xor(cin,or(a,t7)),not(xor(t7,or(carry,t7)))),or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7))))) )],[refute_0_15084,refute_0_15090]) ).
cnf(refute_0_15092,plain,
( or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7)))) != not(xor(t7,or(carry,t7)))
| or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7)))) != or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7))))
| or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))) = not(xor(t7,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7)))),not(xor(t7,or(carry,t7)))) ),[0],$fot(or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))))]]) ).
cnf(refute_0_15093,plain,
( or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7)))) != not(xor(t7,or(carry,t7)))
| or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))) = not(xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7)))),or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7))))) )],[refute_0_15091,refute_0_15092]) ).
cnf(refute_0_15094,plain,
( not(xor(t7,or(carry,t7))) != not(xor(t7,or(a,t7)))
| or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))) != not(xor(t7,or(carry,t7)))
| or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))) = not(xor(t7,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))),not(xor(t7,or(carry,t7)))) ),[1],$fot(not(xor(t7,or(a,t7))))]]) ).
cnf(refute_0_15095,plain,
( or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))) != not(xor(t7,or(carry,t7)))
| or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))) = not(xor(t7,or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(xor(t7,or(carry,t7))),not(xor(t7,or(a,t7)))) )],[refute_0_7862,refute_0_15094]) ).
cnf(refute_0_15096,plain,
( or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7)))) != not(xor(t7,or(carry,t7)))
| or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))) = not(xor(t7,or(a,t7))) ),
inference(resolve,[$cnf( $equal(or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))),not(xor(t7,or(carry,t7)))) )],[refute_0_15093,refute_0_15095]) ).
cnf(refute_0_15097,plain,
or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))) = not(xor(t7,or(a,t7))),
inference(resolve,[$cnf( $equal(or(xor(cin,or(carry,t7)),not(xor(t7,or(carry,t7)))),not(xor(t7,or(carry,t7)))) )],[refute_0_15080,refute_0_15096]) ).
cnf(refute_0_15098,plain,
or(t7,or(xor(cin,or(a,t7)),not(carry))) = or(t7,or(not(carry),xor(cin,or(a,t7)))),
inference(subst,[],[refute_0_3788:[bind(X_37,$fot(t7)),bind(X_38,$fot(not(carry))),bind(X_39,$fot(xor(cin,or(a,t7))))]]) ).
cnf(refute_0_15099,plain,
or(xor(cin,or(a,t7)),or(t7,not(carry))) = or(t7,or(xor(cin,or(a,t7)),not(carry))),
inference(subst,[],[refute_0_267:[bind(X_37,$fot(xor(cin,or(a,t7)))),bind(X_38,$fot(t7)),bind(X_39,$fot(not(carry)))]]) ).
cnf(refute_0_15100,plain,
( or(t7,or(xor(cin,or(a,t7)),not(carry))) != or(t7,or(not(carry),xor(cin,or(a,t7))))
| or(xor(cin,or(a,t7)),or(t7,not(carry))) != or(t7,or(xor(cin,or(a,t7)),not(carry)))
| or(xor(cin,or(a,t7)),or(t7,not(carry))) = or(t7,or(not(carry),xor(cin,or(a,t7)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(xor(cin,or(a,t7)),or(t7,not(carry))))),bind(Y0,$fot(or(t7,or(xor(cin,or(a,t7)),not(carry))))),bind(Z0,$fot(or(t7,or(not(carry),xor(cin,or(a,t7))))))]]) ).
cnf(refute_0_15101,plain,
( or(t7,or(xor(cin,or(a,t7)),not(carry))) != or(t7,or(not(carry),xor(cin,or(a,t7))))
| or(xor(cin,or(a,t7)),or(t7,not(carry))) = or(t7,or(not(carry),xor(cin,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(or(xor(cin,or(a,t7)),or(t7,not(carry))),or(t7,or(xor(cin,or(a,t7)),not(carry)))) )],[refute_0_15099,refute_0_15100]) ).
cnf(refute_0_15102,plain,
or(xor(cin,or(a,t7)),or(t7,not(carry))) = or(t7,or(not(carry),xor(cin,or(a,t7)))),
inference(resolve,[$cnf( $equal(or(t7,or(xor(cin,or(a,t7)),not(carry))),or(t7,or(not(carry),xor(cin,or(a,t7))))) )],[refute_0_15098,refute_0_15101]) ).
cnf(refute_0_15103,plain,
or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))) = or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))),
introduced(tautology,[refl,[$fot(or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))))]]) ).
cnf(refute_0_15104,plain,
( not(xor(t7,or(a,t7))) != or(t7,not(carry))
| or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))) != or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7))))
| or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))) = or(xor(cin,or(a,t7)),or(t7,not(carry))) ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))),or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7))))) ),[1,1],$fot(or(t7,not(carry)))]]) ).
cnf(refute_0_15105,plain,
( not(xor(t7,or(a,t7))) != or(t7,not(carry))
| or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))) = or(xor(cin,or(a,t7)),or(t7,not(carry))) ),
inference(resolve,[$cnf( $equal(or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))),or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7))))) )],[refute_0_15103,refute_0_15104]) ).
cnf(refute_0_15106,plain,
or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))) = or(xor(cin,or(a,t7)),or(t7,not(carry))),
inference(resolve,[$cnf( $equal(not(xor(t7,or(a,t7))),or(t7,not(carry))) )],[refute_0_8435,refute_0_15105]) ).
cnf(refute_0_15107,plain,
( or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))) != or(xor(cin,or(a,t7)),or(t7,not(carry)))
| or(xor(cin,or(a,t7)),or(t7,not(carry))) != or(t7,or(not(carry),xor(cin,or(a,t7))))
| or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))) = or(t7,or(not(carry),xor(cin,or(a,t7)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))))),bind(Y0,$fot(or(xor(cin,or(a,t7)),or(t7,not(carry))))),bind(Z0,$fot(or(t7,or(not(carry),xor(cin,or(a,t7))))))]]) ).
cnf(refute_0_15108,plain,
( or(xor(cin,or(a,t7)),or(t7,not(carry))) != or(t7,or(not(carry),xor(cin,or(a,t7))))
| or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))) = or(t7,or(not(carry),xor(cin,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))),or(xor(cin,or(a,t7)),or(t7,not(carry)))) )],[refute_0_15106,refute_0_15107]) ).
cnf(refute_0_15109,plain,
or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))) = or(t7,or(not(carry),xor(cin,or(a,t7)))),
inference(resolve,[$cnf( $equal(or(xor(cin,or(a,t7)),or(t7,not(carry))),or(t7,or(not(carry),xor(cin,or(a,t7))))) )],[refute_0_15102,refute_0_15108]) ).
cnf(refute_0_15110,plain,
( or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))) != not(xor(t7,or(a,t7)))
| or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))) != or(t7,or(not(carry),xor(cin,or(a,t7))))
| or(t7,or(not(carry),xor(cin,or(a,t7)))) = not(xor(t7,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))),not(xor(t7,or(a,t7)))) ),[0],$fot(or(t7,or(not(carry),xor(cin,or(a,t7)))))]]) ).
cnf(refute_0_15111,plain,
( or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))) != not(xor(t7,or(a,t7)))
| or(t7,or(not(carry),xor(cin,or(a,t7)))) = not(xor(t7,or(a,t7))) ),
inference(resolve,[$cnf( $equal(or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))),or(t7,or(not(carry),xor(cin,or(a,t7))))) )],[refute_0_15109,refute_0_15110]) ).
cnf(refute_0_15112,plain,
( not(xor(t7,or(a,t7))) != or(t7,not(carry))
| or(t7,or(not(carry),xor(cin,or(a,t7)))) != not(xor(t7,or(a,t7)))
| or(t7,or(not(carry),xor(cin,or(a,t7)))) = or(t7,not(carry)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,or(not(carry),xor(cin,or(a,t7)))),not(xor(t7,or(a,t7)))) ),[1],$fot(or(t7,not(carry)))]]) ).
cnf(refute_0_15113,plain,
( or(t7,or(not(carry),xor(cin,or(a,t7)))) != not(xor(t7,or(a,t7)))
| or(t7,or(not(carry),xor(cin,or(a,t7)))) = or(t7,not(carry)) ),
inference(resolve,[$cnf( $equal(not(xor(t7,or(a,t7))),or(t7,not(carry))) )],[refute_0_8435,refute_0_15112]) ).
cnf(refute_0_15114,plain,
( or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))) != not(xor(t7,or(a,t7)))
| or(t7,or(not(carry),xor(cin,or(a,t7)))) = or(t7,not(carry)) ),
inference(resolve,[$cnf( $equal(or(t7,or(not(carry),xor(cin,or(a,t7)))),not(xor(t7,or(a,t7)))) )],[refute_0_15111,refute_0_15113]) ).
cnf(refute_0_15115,plain,
or(t7,or(not(carry),xor(cin,or(a,t7)))) = or(t7,not(carry)),
inference(resolve,[$cnf( $equal(or(xor(cin,or(a,t7)),not(xor(t7,or(a,t7)))),not(xor(t7,or(a,t7)))) )],[refute_0_15097,refute_0_15114]) ).
cnf(refute_0_15116,plain,
or(or(t1,not(carry)),X_39) = or(t1,or(not(carry),X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(t1)),bind(Y,$fot(not(carry))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_15117,plain,
( or(or(t1,not(carry)),X_39) != or(t1,or(not(carry),X_39))
| or(t1,not(carry)) != t1
| or(t1,X_39) = or(t1,or(not(carry),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t1,not(carry)),X_39),or(t1,or(not(carry),X_39))) ),[0,0],$fot(t1)]]) ).
cnf(refute_0_15118,plain,
( or(or(t1,not(carry)),X_39) != or(t1,or(not(carry),X_39))
| or(t1,X_39) = or(t1,or(not(carry),X_39)) ),
inference(resolve,[$cnf( $equal(or(t1,not(carry)),t1) )],[refute_0_4991,refute_0_15117]) ).
cnf(refute_0_15119,plain,
or(t1,X_39) = or(t1,or(not(carry),X_39)),
inference(resolve,[$cnf( $equal(or(or(t1,not(carry)),X_39),or(t1,or(not(carry),X_39))) )],[refute_0_15116,refute_0_15118]) ).
cnf(refute_0_15120,plain,
or(t1,X_633) = or(t1,or(not(carry),X_633)),
inference(subst,[],[refute_0_15119:[bind(X_39,$fot(X_633))]]) ).
cnf(refute_0_15121,plain,
or(X_633,not(carry)) = or(not(carry),X_633),
inference(subst,[],[or_commutative:[bind(X,$fot(X_633)),bind(Y,$fot(not(carry)))]]) ).
cnf(refute_0_15122,plain,
( or(X_633,not(carry)) != or(not(carry),X_633)
| or(not(carry),X_633) = or(X_633,not(carry)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(X_633,not(carry)))),bind(Y0,$fot(or(not(carry),X_633)))]]) ).
cnf(refute_0_15123,plain,
or(not(carry),X_633) = or(X_633,not(carry)),
inference(resolve,[$cnf( $equal(or(X_633,not(carry)),or(not(carry),X_633)) )],[refute_0_15121,refute_0_15122]) ).
cnf(refute_0_15124,plain,
( or(not(carry),X_633) != or(X_633,not(carry))
| or(t1,X_633) != or(t1,or(not(carry),X_633))
| or(t1,X_633) = or(t1,or(X_633,not(carry))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,X_633),or(t1,or(not(carry),X_633))) ),[1,1],$fot(or(X_633,not(carry)))]]) ).
cnf(refute_0_15125,plain,
( or(t1,X_633) != or(t1,or(not(carry),X_633))
| or(t1,X_633) = or(t1,or(X_633,not(carry))) ),
inference(resolve,[$cnf( $equal(or(not(carry),X_633),or(X_633,not(carry))) )],[refute_0_15123,refute_0_15124]) ).
cnf(refute_0_15126,plain,
or(t1,X_633) = or(t1,or(X_633,not(carry))),
inference(resolve,[$cnf( $equal(or(t1,X_633),or(t1,or(not(carry),X_633))) )],[refute_0_15120,refute_0_15125]) ).
cnf(refute_0_15127,plain,
( or(t1,X_633) != or(t1,or(X_633,not(carry)))
| or(t1,or(X_633,not(carry))) = or(t1,X_633) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(t1,X_633))),bind(Y0,$fot(or(t1,or(X_633,not(carry)))))]]) ).
cnf(refute_0_15128,plain,
or(t1,or(X_633,not(carry))) = or(t1,X_633),
inference(resolve,[$cnf( $equal(or(t1,X_633),or(t1,or(X_633,not(carry)))) )],[refute_0_15126,refute_0_15127]) ).
cnf(refute_0_15129,plain,
or(t1,or(t7,not(carry))) = or(t1,t7),
inference(subst,[],[refute_0_15128:[bind(X_633,$fot(t7))]]) ).
cnf(refute_0_15130,plain,
or(or(t1,not(cin)),Z) = or(t1,or(not(cin),Z)),
inference(subst,[],[or_associative:[bind(X,$fot(t1)),bind(Y,$fot(not(cin)))]]) ).
cnf(refute_0_15131,plain,
( or(or(t1,not(cin)),Z) != or(t1,or(not(cin),Z))
| or(t1,not(cin)) != or(t1,t7)
| or(or(t1,t7),Z) = or(t1,or(not(cin),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t1,not(cin)),Z),or(t1,or(not(cin),Z))) ),[0,0],$fot(or(t1,t7))]]) ).
cnf(refute_0_15132,plain,
( or(or(t1,not(cin)),Z) != or(t1,or(not(cin),Z))
| or(or(t1,t7),Z) = or(t1,or(not(cin),Z)) ),
inference(resolve,[$cnf( $equal(or(t1,not(cin)),or(t1,t7)) )],[refute_0_10284,refute_0_15131]) ).
cnf(refute_0_15133,plain,
or(or(t1,t7),Z) = or(t1,or(not(cin),Z)),
inference(resolve,[$cnf( $equal(or(or(t1,not(cin)),Z),or(t1,or(not(cin),Z))) )],[refute_0_15130,refute_0_15132]) ).
cnf(refute_0_15134,plain,
or(or(t1,t7),Z) = or(t1,or(t7,Z)),
inference(subst,[],[or_associative:[bind(X,$fot(t1)),bind(Y,$fot(t7))]]) ).
cnf(refute_0_15135,plain,
( or(or(t1,t7),Z) != or(t1,or(not(cin),Z))
| or(or(t1,t7),Z) != or(t1,or(t7,Z))
| or(t1,or(t7,Z)) = or(t1,or(not(cin),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t1,t7),Z),or(t1,or(not(cin),Z))) ),[0],$fot(or(t1,or(t7,Z)))]]) ).
cnf(refute_0_15136,plain,
( or(or(t1,t7),Z) != or(t1,or(not(cin),Z))
| or(t1,or(t7,Z)) = or(t1,or(not(cin),Z)) ),
inference(resolve,[$cnf( $equal(or(or(t1,t7),Z),or(t1,or(t7,Z))) )],[refute_0_15134,refute_0_15135]) ).
cnf(refute_0_15137,plain,
or(or(X,t1),not(cin)) = or(X,or(t1,not(cin))),
inference(subst,[],[or_associative:[bind(Y,$fot(t1)),bind(Z,$fot(not(cin)))]]) ).
cnf(refute_0_15138,plain,
( or(or(X,t1),not(cin)) != or(X,or(t1,not(cin)))
| or(t1,not(cin)) != or(t1,t7)
| or(or(X,t1),not(cin)) = or(X,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(X,t1),not(cin)),or(X,or(t1,not(cin)))) ),[1,1],$fot(or(t1,t7))]]) ).
cnf(refute_0_15139,plain,
( or(or(X,t1),not(cin)) != or(X,or(t1,not(cin)))
| or(or(X,t1),not(cin)) = or(X,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(or(t1,not(cin)),or(t1,t7)) )],[refute_0_10284,refute_0_15138]) ).
cnf(refute_0_15140,plain,
or(or(X,t1),not(cin)) = or(X,or(t1,t7)),
inference(resolve,[$cnf( $equal(or(or(X,t1),not(cin)),or(X,or(t1,not(cin)))) )],[refute_0_15137,refute_0_15139]) ).
cnf(refute_0_15141,plain,
or(not(cin),or(X,t1)) = or(t1,or(not(cin),X)),
inference(subst,[],[refute_0_3769:[bind(X,$fot(t1)),bind(X_37,$fot(not(cin))),bind(X_38,$fot(X))]]) ).
cnf(refute_0_15142,plain,
( or(not(cin),X) != or(X,not(cin))
| or(X,not(cin)) = or(not(cin),X) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(not(cin),X))),bind(Y0,$fot(or(X,not(cin))))]]) ).
cnf(refute_0_15143,plain,
or(X,not(cin)) = or(not(cin),X),
inference(resolve,[$cnf( $equal(or(not(cin),X),or(X,not(cin))) )],[refute_0_10273,refute_0_15142]) ).
cnf(refute_0_15144,plain,
or(or(X,t1),not(cin)) = or(not(cin),or(X,t1)),
inference(subst,[],[refute_0_15143:[bind(X,$fot(or(X,t1)))]]) ).
cnf(refute_0_15145,plain,
( or(not(cin),or(X,t1)) != or(t1,or(not(cin),X))
| or(or(X,t1),not(cin)) != or(not(cin),or(X,t1))
| or(or(X,t1),not(cin)) = or(t1,or(not(cin),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(or(X,t1),not(cin)))),bind(Y0,$fot(or(not(cin),or(X,t1)))),bind(Z0,$fot(or(t1,or(not(cin),X))))]]) ).
cnf(refute_0_15146,plain,
( or(not(cin),or(X,t1)) != or(t1,or(not(cin),X))
| or(or(X,t1),not(cin)) = or(t1,or(not(cin),X)) ),
inference(resolve,[$cnf( $equal(or(or(X,t1),not(cin)),or(not(cin),or(X,t1))) )],[refute_0_15144,refute_0_15145]) ).
cnf(refute_0_15147,plain,
or(or(X,t1),not(cin)) = or(t1,or(not(cin),X)),
inference(resolve,[$cnf( $equal(or(not(cin),or(X,t1)),or(t1,or(not(cin),X))) )],[refute_0_15141,refute_0_15146]) ).
cnf(refute_0_15148,plain,
( or(or(X,t1),not(cin)) != or(X,or(t1,t7))
| or(or(X,t1),not(cin)) != or(t1,or(not(cin),X))
| or(t1,or(not(cin),X)) = or(X,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(X,t1),not(cin)),or(X,or(t1,t7))) ),[0],$fot(or(t1,or(not(cin),X)))]]) ).
cnf(refute_0_15149,plain,
( or(or(X,t1),not(cin)) != or(X,or(t1,t7))
| or(t1,or(not(cin),X)) = or(X,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(or(or(X,t1),not(cin)),or(t1,or(not(cin),X))) )],[refute_0_15147,refute_0_15148]) ).
cnf(refute_0_15150,plain,
or(t1,or(not(cin),X)) = or(X,or(t1,t7)),
inference(resolve,[$cnf( $equal(or(or(X,t1),not(cin)),or(X,or(t1,t7))) )],[refute_0_15140,refute_0_15149]) ).
cnf(refute_0_15151,plain,
or(t1,or(not(cin),Z)) = or(Z,or(t1,t7)),
inference(subst,[],[refute_0_15150:[bind(X,$fot(Z))]]) ).
cnf(refute_0_15152,plain,
( or(t1,or(not(cin),Z)) != or(Z,or(t1,t7))
| or(t1,or(t7,Z)) != or(t1,or(not(cin),Z))
| or(t1,or(t7,Z)) = or(Z,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,or(t7,Z)),or(t1,or(not(cin),Z))) ),[1],$fot(or(Z,or(t1,t7)))]]) ).
cnf(refute_0_15153,plain,
( or(t1,or(t7,Z)) != or(t1,or(not(cin),Z))
| or(t1,or(t7,Z)) = or(Z,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(or(t1,or(not(cin),Z)),or(Z,or(t1,t7))) )],[refute_0_15151,refute_0_15152]) ).
cnf(refute_0_15154,plain,
( or(or(t1,t7),Z) != or(t1,or(not(cin),Z))
| or(t1,or(t7,Z)) = or(Z,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(or(t1,or(t7,Z)),or(t1,or(not(cin),Z))) )],[refute_0_15136,refute_0_15153]) ).
cnf(refute_0_15155,plain,
or(t1,or(t7,Z)) = or(Z,or(t1,t7)),
inference(resolve,[$cnf( $equal(or(or(t1,t7),Z),or(t1,or(not(cin),Z))) )],[refute_0_15133,refute_0_15154]) ).
cnf(refute_0_15156,plain,
( or(t1,or(t7,Z)) != or(Z,or(t1,t7))
| or(Z,or(t1,t7)) = or(t1,or(t7,Z)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(t1,or(t7,Z)))),bind(Y0,$fot(or(Z,or(t1,t7))))]]) ).
cnf(refute_0_15157,plain,
or(Z,or(t1,t7)) = or(t1,or(t7,Z)),
inference(resolve,[$cnf( $equal(or(t1,or(t7,Z)),or(Z,or(t1,t7))) )],[refute_0_15155,refute_0_15156]) ).
cnf(refute_0_15158,plain,
or(not(carry),or(t1,t7)) = or(t1,or(t7,not(carry))),
inference(subst,[],[refute_0_15157:[bind(Z,$fot(not(carry)))]]) ).
cnf(refute_0_15159,plain,
( or(not(carry),or(t1,t7)) != or(t1,or(t7,not(carry)))
| or(t1,or(t7,not(carry))) != or(t1,t7)
| or(not(carry),or(t1,t7)) = or(t1,t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(carry),or(t1,t7)))),bind(Y0,$fot(or(t1,or(t7,not(carry))))),bind(Z0,$fot(or(t1,t7)))]]) ).
cnf(refute_0_15160,plain,
( or(t1,or(t7,not(carry))) != or(t1,t7)
| or(not(carry),or(t1,t7)) = or(t1,t7) ),
inference(resolve,[$cnf( $equal(or(not(carry),or(t1,t7)),or(t1,or(t7,not(carry)))) )],[refute_0_15158,refute_0_15159]) ).
cnf(refute_0_15161,plain,
or(not(carry),or(t1,t7)) = or(t1,t7),
inference(resolve,[$cnf( $equal(or(t1,or(t7,not(carry))),or(t1,t7)) )],[refute_0_15129,refute_0_15160]) ).
cnf(refute_0_15162,plain,
and(t5,or(not(carry),or(t1,t7))) = and(t5,or(not(carry),or(t1,t7))),
introduced(tautology,[refl,[$fot(and(t5,or(not(carry),or(t1,t7))))]]) ).
cnf(refute_0_15163,plain,
( and(t5,or(not(carry),or(t1,t7))) != and(t5,or(not(carry),or(t1,t7)))
| or(not(carry),or(t1,t7)) != or(t1,t7)
| and(t5,or(not(carry),or(t1,t7))) = and(t5,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,or(not(carry),or(t1,t7))),and(t5,or(not(carry),or(t1,t7)))) ),[1,1],$fot(or(t1,t7))]]) ).
cnf(refute_0_15164,plain,
( or(not(carry),or(t1,t7)) != or(t1,t7)
| and(t5,or(not(carry),or(t1,t7))) = and(t5,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(t5,or(not(carry),or(t1,t7))),and(t5,or(not(carry),or(t1,t7)))) )],[refute_0_15162,refute_0_15163]) ).
cnf(refute_0_15165,plain,
and(t5,or(not(carry),or(t1,t7))) = and(t5,or(t1,t7)),
inference(resolve,[$cnf( $equal(or(not(carry),or(t1,t7)),or(t1,t7)) )],[refute_0_15161,refute_0_15164]) ).
cnf(refute_0_15166,plain,
and(t5,or(or(t1,t7),not(carry))) = and(t5,or(not(carry),or(t1,t7))),
inference(subst,[],[refute_0_13680:[bind(X_752,$fot(t5)),bind(X_753,$fot(or(t1,t7))),bind(X_754,$fot(not(carry)))]]) ).
cnf(refute_0_15167,plain,
( and(t5,or(not(carry),or(t1,t7))) != and(t5,or(t1,t7))
| and(t5,or(or(t1,t7),not(carry))) != and(t5,or(not(carry),or(t1,t7)))
| and(t5,or(or(t1,t7),not(carry))) = and(t5,or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t5,or(or(t1,t7),not(carry))))),bind(Y0,$fot(and(t5,or(not(carry),or(t1,t7))))),bind(Z0,$fot(and(t5,or(t1,t7))))]]) ).
cnf(refute_0_15168,plain,
( and(t5,or(not(carry),or(t1,t7))) != and(t5,or(t1,t7))
| and(t5,or(or(t1,t7),not(carry))) = and(t5,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(t5,or(or(t1,t7),not(carry))),and(t5,or(not(carry),or(t1,t7)))) )],[refute_0_15166,refute_0_15167]) ).
cnf(refute_0_15169,plain,
and(t5,or(or(t1,t7),not(carry))) = and(t5,or(t1,t7)),
inference(resolve,[$cnf( $equal(and(t5,or(not(carry),or(t1,t7))),and(t5,or(t1,t7))) )],[refute_0_15165,refute_0_15168]) ).
cnf(refute_0_15170,plain,
and(t5,or(X_753,not(carry))) = or(and(t5,X_753),and(t5,not(carry))),
inference(subst,[],[or_distributive:[bind(X,$fot(t5)),bind(Y,$fot(X_753)),bind(Z,$fot(not(carry)))]]) ).
cnf(refute_0_15171,plain,
( and(t5,not(carry)) != not(carry)
| and(t5,or(X_753,not(carry))) != or(and(t5,X_753),and(t5,not(carry)))
| and(t5,or(X_753,not(carry))) = or(and(t5,X_753),not(carry)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,or(X_753,not(carry))),or(and(t5,X_753),and(t5,not(carry)))) ),[1,1],$fot(not(carry))]]) ).
cnf(refute_0_15172,plain,
( and(t5,or(X_753,not(carry))) != or(and(t5,X_753),and(t5,not(carry)))
| and(t5,or(X_753,not(carry))) = or(and(t5,X_753),not(carry)) ),
inference(resolve,[$cnf( $equal(and(t5,not(carry)),not(carry)) )],[refute_0_11821,refute_0_15171]) ).
cnf(refute_0_15173,plain,
and(t5,or(X_753,not(carry))) = or(and(t5,X_753),not(carry)),
inference(resolve,[$cnf( $equal(and(t5,or(X_753,not(carry))),or(and(t5,X_753),and(t5,not(carry)))) )],[refute_0_15170,refute_0_15172]) ).
cnf(refute_0_15174,plain,
or(and(t5,X_753),not(carry)) = or(not(carry),and(t5,X_753)),
inference(subst,[],[refute_0_5:[bind(X,$fot(not(carry))),bind(Y,$fot(and(t5,X_753)))]]) ).
cnf(refute_0_15175,plain,
( and(t5,or(X_753,not(carry))) != or(and(t5,X_753),not(carry))
| or(and(t5,X_753),not(carry)) != or(not(carry),and(t5,X_753))
| and(t5,or(X_753,not(carry))) = or(not(carry),and(t5,X_753)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t5,or(X_753,not(carry))),or(not(carry),and(t5,X_753))) ),[0],$fot(or(and(t5,X_753),not(carry)))]]) ).
cnf(refute_0_15176,plain,
( and(t5,or(X_753,not(carry))) != or(and(t5,X_753),not(carry))
| and(t5,or(X_753,not(carry))) = or(not(carry),and(t5,X_753)) ),
inference(resolve,[$cnf( $equal(or(and(t5,X_753),not(carry)),or(not(carry),and(t5,X_753))) )],[refute_0_15174,refute_0_15175]) ).
cnf(refute_0_15177,plain,
and(t5,or(X_753,not(carry))) = or(not(carry),and(t5,X_753)),
inference(resolve,[$cnf( $equal(and(t5,or(X_753,not(carry))),or(and(t5,X_753),not(carry))) )],[refute_0_15173,refute_0_15176]) ).
cnf(refute_0_15178,plain,
( and(t5,or(X_753,not(carry))) != or(not(carry),and(t5,X_753))
| or(not(carry),and(t5,X_753)) = and(t5,or(X_753,not(carry))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t5,or(X_753,not(carry))))),bind(Y0,$fot(or(not(carry),and(t5,X_753))))]]) ).
cnf(refute_0_15179,plain,
or(not(carry),and(t5,X_753)) = and(t5,or(X_753,not(carry))),
inference(resolve,[$cnf( $equal(and(t5,or(X_753,not(carry))),or(not(carry),and(t5,X_753))) )],[refute_0_15177,refute_0_15178]) ).
cnf(refute_0_15180,plain,
or(not(carry),and(t5,or(t1,t7))) = and(t5,or(or(t1,t7),not(carry))),
inference(subst,[],[refute_0_15179:[bind(X_753,$fot(or(t1,t7)))]]) ).
cnf(refute_0_15181,plain,
( and(t5,or(or(t1,t7),not(carry))) != and(t5,or(t1,t7))
| or(not(carry),and(t5,or(t1,t7))) != and(t5,or(or(t1,t7),not(carry)))
| or(not(carry),and(t5,or(t1,t7))) = and(t5,or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(carry),and(t5,or(t1,t7))))),bind(Y0,$fot(and(t5,or(or(t1,t7),not(carry))))),bind(Z0,$fot(and(t5,or(t1,t7))))]]) ).
cnf(refute_0_15182,plain,
( and(t5,or(or(t1,t7),not(carry))) != and(t5,or(t1,t7))
| or(not(carry),and(t5,or(t1,t7))) = and(t5,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(or(not(carry),and(t5,or(t1,t7))),and(t5,or(or(t1,t7),not(carry)))) )],[refute_0_15180,refute_0_15181]) ).
cnf(refute_0_15183,plain,
or(not(carry),and(t5,or(t1,t7))) = and(t5,or(t1,t7)),
inference(resolve,[$cnf( $equal(and(t5,or(or(t1,t7),not(carry))),and(t5,or(t1,t7))) )],[refute_0_15169,refute_0_15182]) ).
cnf(refute_0_15184,plain,
or(not(carry),xor(cin,or(a,t7))) = or(not(carry),xor(cin,or(a,t7))),
introduced(tautology,[refl,[$fot(or(not(carry),xor(cin,or(a,t7))))]]) ).
cnf(refute_0_15185,plain,
( or(not(carry),xor(cin,or(a,t7))) != or(not(carry),xor(cin,or(a,t7)))
| xor(cin,or(a,t7)) != and(t5,or(t1,t7))
| or(not(carry),xor(cin,or(a,t7))) = or(not(carry),and(t5,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(carry),xor(cin,or(a,t7))),or(not(carry),xor(cin,or(a,t7)))) ),[1,1],$fot(and(t5,or(t1,t7)))]]) ).
cnf(refute_0_15186,plain,
( xor(cin,or(a,t7)) != and(t5,or(t1,t7))
| or(not(carry),xor(cin,or(a,t7))) = or(not(carry),and(t5,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(or(not(carry),xor(cin,or(a,t7))),or(not(carry),xor(cin,or(a,t7)))) )],[refute_0_15184,refute_0_15185]) ).
cnf(refute_0_15187,plain,
or(not(carry),xor(cin,or(a,t7))) = or(not(carry),and(t5,or(t1,t7))),
inference(resolve,[$cnf( $equal(xor(cin,or(a,t7)),and(t5,or(t1,t7))) )],[refute_0_12236,refute_0_15186]) ).
cnf(refute_0_15188,plain,
( or(not(carry),and(t5,or(t1,t7))) != and(t5,or(t1,t7))
| or(not(carry),xor(cin,or(a,t7))) != or(not(carry),and(t5,or(t1,t7)))
| or(not(carry),xor(cin,or(a,t7))) = and(t5,or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(carry),xor(cin,or(a,t7))))),bind(Y0,$fot(or(not(carry),and(t5,or(t1,t7))))),bind(Z0,$fot(and(t5,or(t1,t7))))]]) ).
cnf(refute_0_15189,plain,
( or(not(carry),and(t5,or(t1,t7))) != and(t5,or(t1,t7))
| or(not(carry),xor(cin,or(a,t7))) = and(t5,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(or(not(carry),xor(cin,or(a,t7))),or(not(carry),and(t5,or(t1,t7)))) )],[refute_0_15187,refute_0_15188]) ).
cnf(refute_0_15190,plain,
or(not(carry),xor(cin,or(a,t7))) = and(t5,or(t1,t7)),
inference(resolve,[$cnf( $equal(or(not(carry),and(t5,or(t1,t7))),and(t5,or(t1,t7))) )],[refute_0_15183,refute_0_15189]) ).
cnf(refute_0_15191,plain,
or(t7,or(not(carry),xor(cin,or(a,t7)))) = or(t7,or(not(carry),xor(cin,or(a,t7)))),
introduced(tautology,[refl,[$fot(or(t7,or(not(carry),xor(cin,or(a,t7)))))]]) ).
cnf(refute_0_15192,plain,
( or(not(carry),xor(cin,or(a,t7))) != and(t5,or(t1,t7))
| or(t7,or(not(carry),xor(cin,or(a,t7)))) != or(t7,or(not(carry),xor(cin,or(a,t7))))
| or(t7,or(not(carry),xor(cin,or(a,t7)))) = or(t7,and(t5,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,or(not(carry),xor(cin,or(a,t7)))),or(t7,or(not(carry),xor(cin,or(a,t7))))) ),[1,1],$fot(and(t5,or(t1,t7)))]]) ).
cnf(refute_0_15193,plain,
( or(not(carry),xor(cin,or(a,t7))) != and(t5,or(t1,t7))
| or(t7,or(not(carry),xor(cin,or(a,t7)))) = or(t7,and(t5,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(or(t7,or(not(carry),xor(cin,or(a,t7)))),or(t7,or(not(carry),xor(cin,or(a,t7))))) )],[refute_0_15191,refute_0_15192]) ).
cnf(refute_0_15194,plain,
or(t7,or(not(carry),xor(cin,or(a,t7)))) = or(t7,and(t5,or(t1,t7))),
inference(resolve,[$cnf( $equal(or(not(carry),xor(cin,or(a,t7))),and(t5,or(t1,t7))) )],[refute_0_15190,refute_0_15193]) ).
cnf(refute_0_15195,plain,
( or(t7,or(not(carry),xor(cin,or(a,t7)))) != or(t7,and(t5,or(t1,t7)))
| or(t7,or(not(carry),xor(cin,or(a,t7)))) != or(t7,not(carry))
| or(t7,and(t5,or(t1,t7))) = or(t7,not(carry)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,or(not(carry),xor(cin,or(a,t7)))),or(t7,not(carry))) ),[0],$fot(or(t7,and(t5,or(t1,t7))))]]) ).
cnf(refute_0_15196,plain,
( or(t7,or(not(carry),xor(cin,or(a,t7)))) != or(t7,not(carry))
| or(t7,and(t5,or(t1,t7))) = or(t7,not(carry)) ),
inference(resolve,[$cnf( $equal(or(t7,or(not(carry),xor(cin,or(a,t7)))),or(t7,and(t5,or(t1,t7)))) )],[refute_0_15194,refute_0_15195]) ).
cnf(refute_0_15197,plain,
( or(t7,and(t5,or(t1,t7))) != or(t7,not(carry))
| or(t7,not(carry)) != or(t1,t7)
| or(t7,and(t5,or(t1,t7))) = or(t1,t7) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(t7,and(t5,or(t1,t7))),or(t1,t7)) ),[0],$fot(or(t7,not(carry)))]]) ).
cnf(refute_0_15198,plain,
( or(t7,and(t5,or(t1,t7))) != or(t7,not(carry))
| or(t7,and(t5,or(t1,t7))) = or(t1,t7) ),
inference(resolve,[$cnf( $equal(or(t7,not(carry)),or(t1,t7)) )],[refute_0_11951,refute_0_15197]) ).
cnf(refute_0_15199,plain,
( or(t7,or(not(carry),xor(cin,or(a,t7)))) != or(t7,not(carry))
| or(t7,and(t5,or(t1,t7))) = or(t1,t7) ),
inference(resolve,[$cnf( $equal(or(t7,and(t5,or(t1,t7))),or(t7,not(carry))) )],[refute_0_15196,refute_0_15198]) ).
cnf(refute_0_15200,plain,
or(t7,and(t5,or(t1,t7))) = or(t1,t7),
inference(resolve,[$cnf( $equal(or(t7,or(not(carry),xor(cin,or(a,t7)))),or(t7,not(carry))) )],[refute_0_15115,refute_0_15199]) ).
cnf(refute_0_15201,plain,
or(t7,X_187) = or(t7,or(not(cin),X_187)),
inference(subst,[],[refute_0_6055:[bind(X_39,$fot(X_187))]]) ).
cnf(refute_0_15202,plain,
or(X_187,not(cin)) = or(not(cin),X_187),
inference(subst,[],[or_commutative:[bind(X,$fot(X_187)),bind(Y,$fot(not(cin)))]]) ).
cnf(refute_0_15203,plain,
( or(X_187,not(cin)) != or(not(cin),X_187)
| or(not(cin),X_187) = or(X_187,not(cin)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(X_187,not(cin)))),bind(Y0,$fot(or(not(cin),X_187)))]]) ).
cnf(refute_0_15204,plain,
or(not(cin),X_187) = or(X_187,not(cin)),
inference(resolve,[$cnf( $equal(or(X_187,not(cin)),or(not(cin),X_187)) )],[refute_0_15202,refute_0_15203]) ).
cnf(refute_0_15205,plain,
( or(not(cin),X_187) != or(X_187,not(cin))
| or(t7,X_187) != or(t7,or(not(cin),X_187))
| or(t7,X_187) = or(t7,or(X_187,not(cin))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,X_187),or(t7,or(not(cin),X_187))) ),[1,1],$fot(or(X_187,not(cin)))]]) ).
cnf(refute_0_15206,plain,
( or(t7,X_187) != or(t7,or(not(cin),X_187))
| or(t7,X_187) = or(t7,or(X_187,not(cin))) ),
inference(resolve,[$cnf( $equal(or(not(cin),X_187),or(X_187,not(cin))) )],[refute_0_15204,refute_0_15205]) ).
cnf(refute_0_15207,plain,
or(t7,X_187) = or(t7,or(X_187,not(cin))),
inference(resolve,[$cnf( $equal(or(t7,X_187),or(t7,or(not(cin),X_187))) )],[refute_0_15201,refute_0_15206]) ).
cnf(refute_0_15208,plain,
or(t7,not(X)) = or(t7,or(not(X),not(cin))),
inference(subst,[],[refute_0_15207:[bind(X_187,$fot(not(X)))]]) ).
cnf(refute_0_15209,plain,
( or(not(X),not(cin)) != not(and(X,cin))
| or(t7,not(X)) != or(t7,or(not(X),not(cin)))
| or(t7,not(X)) = or(t7,not(and(X,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,not(X)),or(t7,or(not(X),not(cin)))) ),[1,1],$fot(not(and(X,cin)))]]) ).
cnf(refute_0_15210,plain,
( or(t7,not(X)) != or(t7,or(not(X),not(cin)))
| or(t7,not(X)) = or(t7,not(and(X,cin))) ),
inference(resolve,[$cnf( $equal(or(not(X),not(cin)),not(and(X,cin))) )],[refute_0_10295,refute_0_15209]) ).
cnf(refute_0_15211,plain,
or(t7,not(X)) = or(t7,not(and(X,cin))),
inference(resolve,[$cnf( $equal(or(t7,not(X)),or(t7,or(not(X),not(cin)))) )],[refute_0_15208,refute_0_15210]) ).
cnf(refute_0_15212,plain,
( or(t7,not(X)) != or(t7,not(and(X,cin)))
| or(t7,not(and(X,cin))) = or(t7,not(X)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(t7,not(X)))),bind(Y0,$fot(or(t7,not(and(X,cin)))))]]) ).
cnf(refute_0_15213,plain,
or(t7,not(and(X,cin))) = or(t7,not(X)),
inference(resolve,[$cnf( $equal(or(t7,not(X)),or(t7,not(and(X,cin)))) )],[refute_0_15211,refute_0_15212]) ).
cnf(refute_0_15214,plain,
or(t7,not(and(carry_def,cin))) = or(t7,not(carry_def)),
inference(subst,[],[refute_0_15213:[bind(X,$fot(carry_def))]]) ).
cnf(refute_0_15215,plain,
or(t7,and(t5,or(t1,t7))) = or(t7,and(t5,or(t1,t7))),
introduced(tautology,[refl,[$fot(or(t7,and(t5,or(t1,t7))))]]) ).
cnf(refute_0_15216,plain,
( and(t5,or(t1,t7)) != not(and(carry_def,cin))
| or(t7,and(t5,or(t1,t7))) != or(t7,and(t5,or(t1,t7)))
| or(t7,and(t5,or(t1,t7))) = or(t7,not(and(carry_def,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,and(t5,or(t1,t7))),or(t7,and(t5,or(t1,t7)))) ),[1,1],$fot(not(and(carry_def,cin)))]]) ).
cnf(refute_0_15217,plain,
( and(t5,or(t1,t7)) != not(and(carry_def,cin))
| or(t7,and(t5,or(t1,t7))) = or(t7,not(and(carry_def,cin))) ),
inference(resolve,[$cnf( $equal(or(t7,and(t5,or(t1,t7))),or(t7,and(t5,or(t1,t7)))) )],[refute_0_15215,refute_0_15216]) ).
cnf(refute_0_15218,plain,
or(t7,and(t5,or(t1,t7))) = or(t7,not(and(carry_def,cin))),
inference(resolve,[$cnf( $equal(and(t5,or(t1,t7)),not(and(carry_def,cin))) )],[refute_0_12313,refute_0_15217]) ).
cnf(refute_0_15219,plain,
( or(t7,and(t5,or(t1,t7))) != or(t7,not(and(carry_def,cin)))
| or(t7,not(and(carry_def,cin))) != or(t7,not(carry_def))
| or(t7,and(t5,or(t1,t7))) = or(t7,not(carry_def)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t7,and(t5,or(t1,t7))))),bind(Y0,$fot(or(t7,not(and(carry_def,cin))))),bind(Z0,$fot(or(t7,not(carry_def))))]]) ).
cnf(refute_0_15220,plain,
( or(t7,not(and(carry_def,cin))) != or(t7,not(carry_def))
| or(t7,and(t5,or(t1,t7))) = or(t7,not(carry_def)) ),
inference(resolve,[$cnf( $equal(or(t7,and(t5,or(t1,t7))),or(t7,not(and(carry_def,cin)))) )],[refute_0_15218,refute_0_15219]) ).
cnf(refute_0_15221,plain,
or(t7,and(t5,or(t1,t7))) = or(t7,not(carry_def)),
inference(resolve,[$cnf( $equal(or(t7,not(and(carry_def,cin))),or(t7,not(carry_def))) )],[refute_0_15214,refute_0_15220]) ).
cnf(refute_0_15222,plain,
( or(t7,and(t5,or(t1,t7))) != or(t1,t7)
| or(t7,and(t5,or(t1,t7))) != or(t7,not(carry_def))
| or(t7,not(carry_def)) = or(t1,t7) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,and(t5,or(t1,t7))),or(t1,t7)) ),[0],$fot(or(t7,not(carry_def)))]]) ).
cnf(refute_0_15223,plain,
( or(t7,and(t5,or(t1,t7))) != or(t1,t7)
| or(t7,not(carry_def)) = or(t1,t7) ),
inference(resolve,[$cnf( $equal(or(t7,and(t5,or(t1,t7))),or(t7,not(carry_def))) )],[refute_0_15221,refute_0_15222]) ).
cnf(refute_0_15224,plain,
or(t7,not(carry_def)) = or(t1,t7),
inference(resolve,[$cnf( $equal(or(t7,and(t5,or(t1,t7))),or(t1,t7)) )],[refute_0_15200,refute_0_15223]) ).
cnf(refute_0_15225,plain,
or(not(carry_def),t7) = or(t7,not(carry_def)),
inference(subst,[],[refute_0_5:[bind(X,$fot(t7)),bind(Y,$fot(not(carry_def)))]]) ).
cnf(refute_0_15226,plain,
( or(not(carry_def),t7) != or(t7,not(carry_def))
| or(t7,not(carry_def)) != or(t1,t7)
| or(not(carry_def),t7) = or(t1,t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(carry_def),t7))),bind(Y0,$fot(or(t7,not(carry_def)))),bind(Z0,$fot(or(t1,t7)))]]) ).
cnf(refute_0_15227,plain,
( or(t7,not(carry_def)) != or(t1,t7)
| or(not(carry_def),t7) = or(t1,t7) ),
inference(resolve,[$cnf( $equal(or(not(carry_def),t7),or(t7,not(carry_def))) )],[refute_0_15225,refute_0_15226]) ).
cnf(refute_0_15228,plain,
or(not(carry_def),t7) = or(t1,t7),
inference(resolve,[$cnf( $equal(or(t7,not(carry_def)),or(t1,t7)) )],[refute_0_15224,refute_0_15227]) ).
cnf(refute_0_15229,plain,
not(and(carry_def,not(t7))) = or(not(carry_def),t7),
inference(subst,[],[refute_0_435:[bind(X_29,$fot(carry_def)),bind(X_30,$fot(t7))]]) ).
cnf(refute_0_15230,plain,
( not(and(carry_def,not(t7))) != or(not(carry_def),t7)
| or(not(carry_def),t7) != or(t1,t7)
| not(and(carry_def,not(t7))) = or(t1,t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(carry_def,not(t7))))),bind(Y0,$fot(or(not(carry_def),t7))),bind(Z0,$fot(or(t1,t7)))]]) ).
cnf(refute_0_15231,plain,
( or(not(carry_def),t7) != or(t1,t7)
| not(and(carry_def,not(t7))) = or(t1,t7) ),
inference(resolve,[$cnf( $equal(not(and(carry_def,not(t7))),or(not(carry_def),t7)) )],[refute_0_15229,refute_0_15230]) ).
cnf(refute_0_15232,plain,
not(and(carry_def,not(t7))) = or(t1,t7),
inference(resolve,[$cnf( $equal(or(not(carry_def),t7),or(t1,t7)) )],[refute_0_15228,refute_0_15231]) ).
cnf(refute_0_15233,plain,
and(carry_def,and(cin,t5)) = and(carry_def,and(cin,t5)),
introduced(tautology,[refl,[$fot(and(carry_def,and(cin,t5)))]]) ).
cnf(refute_0_15234,plain,
( and(carry_def,and(cin,t5)) != and(carry_def,and(cin,t5))
| and(cin,t5) != not(t7)
| and(carry_def,and(cin,t5)) = and(carry_def,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry_def,and(cin,t5)),and(carry_def,and(cin,t5))) ),[1,1],$fot(not(t7))]]) ).
cnf(refute_0_15235,plain,
( and(cin,t5) != not(t7)
| and(carry_def,and(cin,t5)) = and(carry_def,not(t7)) ),
inference(resolve,[$cnf( $equal(and(carry_def,and(cin,t5)),and(carry_def,and(cin,t5))) )],[refute_0_15233,refute_0_15234]) ).
cnf(refute_0_15236,plain,
and(carry_def,and(cin,t5)) = and(carry_def,not(t7)),
inference(resolve,[$cnf( $equal(and(cin,t5),not(t7)) )],[refute_0_200,refute_0_15235]) ).
cnf(refute_0_15237,plain,
not(and(carry_def,and(cin,t5))) = not(and(carry_def,and(cin,t5))),
introduced(tautology,[refl,[$fot(not(and(carry_def,and(cin,t5))))]]) ).
cnf(refute_0_15238,plain,
( and(carry_def,and(cin,t5)) != and(carry_def,not(t7))
| not(and(carry_def,and(cin,t5))) != not(and(carry_def,and(cin,t5)))
| not(and(carry_def,and(cin,t5))) = not(and(carry_def,not(t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(carry_def,and(cin,t5))),not(and(carry_def,and(cin,t5)))) ),[1,0],$fot(and(carry_def,not(t7)))]]) ).
cnf(refute_0_15239,plain,
( and(carry_def,and(cin,t5)) != and(carry_def,not(t7))
| not(and(carry_def,and(cin,t5))) = not(and(carry_def,not(t7))) ),
inference(resolve,[$cnf( $equal(not(and(carry_def,and(cin,t5))),not(and(carry_def,and(cin,t5)))) )],[refute_0_15237,refute_0_15238]) ).
cnf(refute_0_15240,plain,
not(and(carry_def,and(cin,t5))) = not(and(carry_def,not(t7))),
inference(resolve,[$cnf( $equal(and(carry_def,and(cin,t5)),and(carry_def,not(t7))) )],[refute_0_15236,refute_0_15239]) ).
cnf(refute_0_15241,plain,
( not(and(carry_def,and(cin,t5))) != not(and(carry_def,not(t7)))
| not(and(carry_def,not(t7))) != or(t1,t7)
| not(and(carry_def,and(cin,t5))) = or(t1,t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(carry_def,and(cin,t5))))),bind(Y0,$fot(not(and(carry_def,not(t7))))),bind(Z0,$fot(or(t1,t7)))]]) ).
cnf(refute_0_15242,plain,
( not(and(carry_def,not(t7))) != or(t1,t7)
| not(and(carry_def,and(cin,t5))) = or(t1,t7) ),
inference(resolve,[$cnf( $equal(not(and(carry_def,and(cin,t5))),not(and(carry_def,not(t7)))) )],[refute_0_15240,refute_0_15241]) ).
cnf(refute_0_15243,plain,
not(and(carry_def,and(cin,t5))) = or(t1,t7),
inference(resolve,[$cnf( $equal(not(and(carry_def,not(t7))),or(t1,t7)) )],[refute_0_15232,refute_0_15242]) ).
cnf(refute_0_15244,plain,
not(and(carry_def,and(t5,cin))) = not(and(carry_def,and(cin,t5))),
inference(subst,[],[refute_0_4075:[bind(X,$fot(carry_def)),bind(X_205,$fot(t5)),bind(X_206,$fot(cin))]]) ).
cnf(refute_0_15245,plain,
not(and(cin,and(carry_def,t5))) = not(and(carry_def,and(t5,cin))),
inference(subst,[],[refute_0_10246:[bind(X_220,$fot(carry_def)),bind(X_221,$fot(t5)),bind(X_32,$fot(cin))]]) ).
cnf(refute_0_15246,plain,
( not(and(carry_def,and(t5,cin))) != not(and(carry_def,and(cin,t5)))
| not(and(cin,and(carry_def,t5))) != not(and(carry_def,and(t5,cin)))
| not(and(cin,and(carry_def,t5))) = not(and(carry_def,and(cin,t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(cin,and(carry_def,t5))))),bind(Y0,$fot(not(and(carry_def,and(t5,cin))))),bind(Z0,$fot(not(and(carry_def,and(cin,t5)))))]]) ).
cnf(refute_0_15247,plain,
( not(and(carry_def,and(t5,cin))) != not(and(carry_def,and(cin,t5)))
| not(and(cin,and(carry_def,t5))) = not(and(carry_def,and(cin,t5))) ),
inference(resolve,[$cnf( $equal(not(and(cin,and(carry_def,t5))),not(and(carry_def,and(t5,cin)))) )],[refute_0_15245,refute_0_15246]) ).
cnf(refute_0_15248,plain,
not(and(cin,and(carry_def,t5))) = not(and(carry_def,and(cin,t5))),
inference(resolve,[$cnf( $equal(not(and(carry_def,and(t5,cin))),not(and(carry_def,and(cin,t5)))) )],[refute_0_15244,refute_0_15247]) ).
cnf(refute_0_15249,plain,
not(and(X,and(carry_def,t5))) = or(not(X),not(and(carry_def,t5))),
inference(subst,[],[and_demorgan:[bind(Y,$fot(and(carry_def,t5)))]]) ).
cnf(refute_0_15250,plain,
( not(and(X,and(carry_def,t5))) != or(not(X),not(and(carry_def,t5)))
| not(and(carry_def,t5)) != xor(carry_def,t5)
| not(and(X,and(carry_def,t5))) = or(not(X),xor(carry_def,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X,and(carry_def,t5))),or(not(X),not(and(carry_def,t5)))) ),[1,1],$fot(xor(carry_def,t5))]]) ).
cnf(refute_0_15251,plain,
( not(and(X,and(carry_def,t5))) != or(not(X),not(and(carry_def,t5)))
| not(and(X,and(carry_def,t5))) = or(not(X),xor(carry_def,t5)) ),
inference(resolve,[$cnf( $equal(not(and(carry_def,t5)),xor(carry_def,t5)) )],[refute_0_15066,refute_0_15250]) ).
cnf(refute_0_15252,plain,
not(and(X,and(carry_def,t5))) = or(not(X),xor(carry_def,t5)),
inference(resolve,[$cnf( $equal(not(and(X,and(carry_def,t5))),or(not(X),not(and(carry_def,t5)))) )],[refute_0_15249,refute_0_15251]) ).
cnf(refute_0_15253,plain,
( not(and(X,and(carry_def,t5))) != or(not(X),xor(carry_def,t5))
| or(not(X),xor(carry_def,t5)) = not(and(X,and(carry_def,t5))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(X,and(carry_def,t5))))),bind(Y0,$fot(or(not(X),xor(carry_def,t5))))]]) ).
cnf(refute_0_15254,plain,
or(not(X),xor(carry_def,t5)) = not(and(X,and(carry_def,t5))),
inference(resolve,[$cnf( $equal(not(and(X,and(carry_def,t5))),or(not(X),xor(carry_def,t5))) )],[refute_0_15252,refute_0_15253]) ).
cnf(refute_0_15255,plain,
or(not(cin),xor(carry_def,t5)) = not(and(cin,and(carry_def,t5))),
inference(subst,[],[refute_0_15254:[bind(X,$fot(cin))]]) ).
cnf(refute_0_15256,plain,
( not(and(cin,and(carry_def,t5))) != not(and(carry_def,and(cin,t5)))
| or(not(cin),xor(carry_def,t5)) != not(and(cin,and(carry_def,t5)))
| or(not(cin),xor(carry_def,t5)) = not(and(carry_def,and(cin,t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(cin),xor(carry_def,t5)))),bind(Y0,$fot(not(and(cin,and(carry_def,t5))))),bind(Z0,$fot(not(and(carry_def,and(cin,t5)))))]]) ).
cnf(refute_0_15257,plain,
( not(and(cin,and(carry_def,t5))) != not(and(carry_def,and(cin,t5)))
| or(not(cin),xor(carry_def,t5)) = not(and(carry_def,and(cin,t5))) ),
inference(resolve,[$cnf( $equal(or(not(cin),xor(carry_def,t5)),not(and(cin,and(carry_def,t5)))) )],[refute_0_15255,refute_0_15256]) ).
cnf(refute_0_15258,plain,
or(not(cin),xor(carry_def,t5)) = not(and(carry_def,and(cin,t5))),
inference(resolve,[$cnf( $equal(not(and(cin,and(carry_def,t5))),not(and(carry_def,and(cin,t5)))) )],[refute_0_15248,refute_0_15257]) ).
cnf(refute_0_15259,plain,
( not(and(carry_def,and(cin,t5))) != or(t1,t7)
| or(not(cin),xor(carry_def,t5)) != not(and(carry_def,and(cin,t5)))
| or(not(cin),xor(carry_def,t5)) = or(t1,t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(cin),xor(carry_def,t5)))),bind(Y0,$fot(not(and(carry_def,and(cin,t5))))),bind(Z0,$fot(or(t1,t7)))]]) ).
cnf(refute_0_15260,plain,
( not(and(carry_def,and(cin,t5))) != or(t1,t7)
| or(not(cin),xor(carry_def,t5)) = or(t1,t7) ),
inference(resolve,[$cnf( $equal(or(not(cin),xor(carry_def,t5)),not(and(carry_def,and(cin,t5)))) )],[refute_0_15258,refute_0_15259]) ).
cnf(refute_0_15261,plain,
or(not(cin),xor(carry_def,t5)) = or(t1,t7),
inference(resolve,[$cnf( $equal(not(and(carry_def,and(cin,t5))),or(t1,t7)) )],[refute_0_15243,refute_0_15260]) ).
cnf(refute_0_15262,plain,
and(t6,or(not(cin),xor(carry_def,t5))) = and(t6,or(not(cin),xor(carry_def,t5))),
introduced(tautology,[refl,[$fot(and(t6,or(not(cin),xor(carry_def,t5))))]]) ).
cnf(refute_0_15263,plain,
( and(t6,or(not(cin),xor(carry_def,t5))) != and(t6,or(not(cin),xor(carry_def,t5)))
| or(not(cin),xor(carry_def,t5)) != or(t1,t7)
| and(t6,or(not(cin),xor(carry_def,t5))) = and(t6,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(not(cin),xor(carry_def,t5))),and(t6,or(not(cin),xor(carry_def,t5)))) ),[1,1],$fot(or(t1,t7))]]) ).
cnf(refute_0_15264,plain,
( or(not(cin),xor(carry_def,t5)) != or(t1,t7)
| and(t6,or(not(cin),xor(carry_def,t5))) = and(t6,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(carry_def,t5))),and(t6,or(not(cin),xor(carry_def,t5)))) )],[refute_0_15262,refute_0_15263]) ).
cnf(refute_0_15265,plain,
and(t6,or(not(cin),xor(carry_def,t5))) = and(t6,or(t1,t7)),
inference(resolve,[$cnf( $equal(or(not(cin),xor(carry_def,t5)),or(t1,t7)) )],[refute_0_15261,refute_0_15264]) ).
cnf(refute_0_15266,plain,
and(t6,or(xor(carry_def,t5),not(cin))) = and(t6,or(not(cin),xor(carry_def,t5))),
inference(subst,[],[refute_0_13680:[bind(X_752,$fot(t6)),bind(X_753,$fot(xor(carry_def,t5))),bind(X_754,$fot(not(cin)))]]) ).
cnf(refute_0_15267,plain,
( and(t6,or(not(cin),xor(carry_def,t5))) != and(t6,or(t1,t7))
| and(t6,or(xor(carry_def,t5),not(cin))) != and(t6,or(not(cin),xor(carry_def,t5)))
| and(t6,or(xor(carry_def,t5),not(cin))) = and(t6,or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t6,or(xor(carry_def,t5),not(cin))))),bind(Y0,$fot(and(t6,or(not(cin),xor(carry_def,t5))))),bind(Z0,$fot(and(t6,or(t1,t7))))]]) ).
cnf(refute_0_15268,plain,
( and(t6,or(not(cin),xor(carry_def,t5))) != and(t6,or(t1,t7))
| and(t6,or(xor(carry_def,t5),not(cin))) = and(t6,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(t6,or(xor(carry_def,t5),not(cin))),and(t6,or(not(cin),xor(carry_def,t5)))) )],[refute_0_15266,refute_0_15267]) ).
cnf(refute_0_15269,plain,
and(t6,or(xor(carry_def,t5),not(cin))) = and(t6,or(t1,t7)),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(carry_def,t5))),and(t6,or(t1,t7))) )],[refute_0_15265,refute_0_15268]) ).
cnf(refute_0_15270,plain,
( and(t6,or(xor(carry_def,t5),not(cin))) != and(t6,or(t1,t7))
| and(t6,or(xor(carry_def,t5),not(cin))) != xor(t6,and(cin,and(carry_def,t5)))
| and(t6,or(t1,t7)) = xor(t6,and(cin,and(carry_def,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(xor(carry_def,t5),not(cin))),xor(t6,and(cin,and(carry_def,t5)))) ),[0],$fot(and(t6,or(t1,t7)))]]) ).
cnf(refute_0_15271,plain,
( and(t6,or(xor(carry_def,t5),not(cin))) != xor(t6,and(cin,and(carry_def,t5)))
| and(t6,or(t1,t7)) = xor(t6,and(cin,and(carry_def,t5))) ),
inference(resolve,[$cnf( $equal(and(t6,or(xor(carry_def,t5),not(cin))),and(t6,or(t1,t7))) )],[refute_0_15269,refute_0_15270]) ).
cnf(refute_0_15272,plain,
and(carry_def,and(t5,cin)) = and(carry_def,and(cin,t5)),
inference(subst,[],[refute_0_2637:[bind(X_220,$fot(carry_def)),bind(X_221,$fot(cin)),bind(X_222,$fot(t5))]]) ).
cnf(refute_0_15273,plain,
( and(carry_def,and(cin,t5)) != and(carry_def,not(t7))
| and(carry_def,and(t5,cin)) != and(carry_def,and(cin,t5))
| and(carry_def,and(t5,cin)) = and(carry_def,not(t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(carry_def,and(t5,cin)))),bind(Y0,$fot(and(carry_def,and(cin,t5)))),bind(Z0,$fot(and(carry_def,not(t7))))]]) ).
cnf(refute_0_15274,plain,
( and(carry_def,and(cin,t5)) != and(carry_def,not(t7))
| and(carry_def,and(t5,cin)) = and(carry_def,not(t7)) ),
inference(resolve,[$cnf( $equal(and(carry_def,and(t5,cin)),and(carry_def,and(cin,t5))) )],[refute_0_15272,refute_0_15273]) ).
cnf(refute_0_15275,plain,
and(carry_def,and(t5,cin)) = and(carry_def,not(t7)),
inference(resolve,[$cnf( $equal(and(carry_def,and(cin,t5)),and(carry_def,not(t7))) )],[refute_0_15236,refute_0_15274]) ).
cnf(refute_0_15276,plain,
xor(t6,and(carry_def,and(t5,cin))) = xor(t6,and(carry_def,and(t5,cin))),
introduced(tautology,[refl,[$fot(xor(t6,and(carry_def,and(t5,cin))))]]) ).
cnf(refute_0_15277,plain,
( and(carry_def,and(t5,cin)) != and(carry_def,not(t7))
| xor(t6,and(carry_def,and(t5,cin))) != xor(t6,and(carry_def,and(t5,cin)))
| xor(t6,and(carry_def,and(t5,cin))) = xor(t6,and(carry_def,not(t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,and(carry_def,and(t5,cin))),xor(t6,and(carry_def,and(t5,cin)))) ),[1,1],$fot(and(carry_def,not(t7)))]]) ).
cnf(refute_0_15278,plain,
( and(carry_def,and(t5,cin)) != and(carry_def,not(t7))
| xor(t6,and(carry_def,and(t5,cin))) = xor(t6,and(carry_def,not(t7))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(carry_def,and(t5,cin))),xor(t6,and(carry_def,and(t5,cin)))) )],[refute_0_15276,refute_0_15277]) ).
cnf(refute_0_15279,plain,
xor(t6,and(carry_def,and(t5,cin))) = xor(t6,and(carry_def,not(t7))),
inference(resolve,[$cnf( $equal(and(carry_def,and(t5,cin)),and(carry_def,not(t7))) )],[refute_0_15275,refute_0_15278]) ).
cnf(refute_0_15280,plain,
xor(t6,and(cin,and(X,Y))) = xor(t6,and(and(X,Y),cin)),
inference(subst,[],[refute_0_7527:[bind(X_75,$fot(and(X,Y)))]]) ).
cnf(refute_0_15281,plain,
and(and(X,Y),cin) = and(X,and(Y,cin)),
inference(subst,[],[and_associative:[bind(Z,$fot(cin))]]) ).
cnf(refute_0_15282,plain,
( and(and(X,Y),cin) != and(X,and(Y,cin))
| xor(t6,and(cin,and(X,Y))) != xor(t6,and(and(X,Y),cin))
| xor(t6,and(cin,and(X,Y))) = xor(t6,and(X,and(Y,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,and(cin,and(X,Y))),xor(t6,and(and(X,Y),cin))) ),[1,1],$fot(and(X,and(Y,cin)))]]) ).
cnf(refute_0_15283,plain,
( xor(t6,and(cin,and(X,Y))) != xor(t6,and(and(X,Y),cin))
| xor(t6,and(cin,and(X,Y))) = xor(t6,and(X,and(Y,cin))) ),
inference(resolve,[$cnf( $equal(and(and(X,Y),cin),and(X,and(Y,cin))) )],[refute_0_15281,refute_0_15282]) ).
cnf(refute_0_15284,plain,
xor(t6,and(cin,and(X,Y))) = xor(t6,and(X,and(Y,cin))),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,and(X,Y))),xor(t6,and(and(X,Y),cin))) )],[refute_0_15280,refute_0_15283]) ).
cnf(refute_0_15285,plain,
xor(t6,and(cin,and(carry_def,t5))) = xor(t6,and(carry_def,and(t5,cin))),
inference(subst,[],[refute_0_15284:[bind(X,$fot(carry_def)),bind(Y,$fot(t5))]]) ).
cnf(refute_0_15286,plain,
( xor(t6,and(carry_def,and(t5,cin))) != xor(t6,and(carry_def,not(t7)))
| xor(t6,and(cin,and(carry_def,t5))) != xor(t6,and(carry_def,and(t5,cin)))
| xor(t6,and(cin,and(carry_def,t5))) = xor(t6,and(carry_def,not(t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,and(cin,and(carry_def,t5))))),bind(Y0,$fot(xor(t6,and(carry_def,and(t5,cin))))),bind(Z0,$fot(xor(t6,and(carry_def,not(t7)))))]]) ).
cnf(refute_0_15287,plain,
( xor(t6,and(carry_def,and(t5,cin))) != xor(t6,and(carry_def,not(t7)))
| xor(t6,and(cin,and(carry_def,t5))) = xor(t6,and(carry_def,not(t7))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,and(carry_def,t5))),xor(t6,and(carry_def,and(t5,cin)))) )],[refute_0_15285,refute_0_15286]) ).
cnf(refute_0_15288,plain,
xor(t6,and(cin,and(carry_def,t5))) = xor(t6,and(carry_def,not(t7))),
inference(resolve,[$cnf( $equal(xor(t6,and(carry_def,and(t5,cin))),xor(t6,and(carry_def,not(t7)))) )],[refute_0_15279,refute_0_15287]) ).
cnf(refute_0_15289,plain,
( and(t6,or(t1,t7)) != xor(t6,and(cin,and(carry_def,t5)))
| xor(t6,and(cin,and(carry_def,t5))) != xor(t6,and(carry_def,not(t7)))
| and(t6,or(t1,t7)) = xor(t6,and(carry_def,not(t7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,or(t1,t7)),xor(t6,and(carry_def,not(t7)))) ),[0],$fot(xor(t6,and(cin,and(carry_def,t5))))]]) ).
cnf(refute_0_15290,plain,
( and(t6,or(t1,t7)) != xor(t6,and(cin,and(carry_def,t5)))
| and(t6,or(t1,t7)) = xor(t6,and(carry_def,not(t7))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,and(carry_def,t5))),xor(t6,and(carry_def,not(t7)))) )],[refute_0_15288,refute_0_15289]) ).
cnf(refute_0_15291,plain,
( and(t6,or(xor(carry_def,t5),not(cin))) != xor(t6,and(cin,and(carry_def,t5)))
| and(t6,or(t1,t7)) = xor(t6,and(carry_def,not(t7))) ),
inference(resolve,[$cnf( $equal(and(t6,or(t1,t7)),xor(t6,and(cin,and(carry_def,t5)))) )],[refute_0_15271,refute_0_15290]) ).
cnf(refute_0_15292,plain,
and(t6,or(t1,t7)) = xor(t6,and(carry_def,not(t7))),
inference(resolve,[$cnf( $equal(and(t6,or(xor(carry_def,t5),not(cin))),xor(t6,and(cin,and(carry_def,t5)))) )],[refute_0_15072,refute_0_15291]) ).
cnf(refute_0_15293,plain,
( and(t6,or(t1,t7)) != xor(t6,and(carry_def,not(t7)))
| xor(t6,and(carry_def,not(t7))) = and(t6,or(t1,t7)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t6,or(t1,t7)))),bind(Y0,$fot(xor(t6,and(carry_def,not(t7)))))]]) ).
cnf(refute_0_15294,plain,
xor(t6,and(carry_def,not(t7))) = and(t6,or(t1,t7)),
inference(resolve,[$cnf( $equal(and(t6,or(t1,t7)),xor(t6,and(carry_def,not(t7)))) )],[refute_0_15292,refute_0_15293]) ).
cnf(refute_0_15295,plain,
not(xor(t6,and(carry_def,not(t7)))) = not(xor(t6,and(carry_def,not(t7)))),
introduced(tautology,[refl,[$fot(not(xor(t6,and(carry_def,not(t7)))))]]) ).
cnf(refute_0_15296,plain,
( not(xor(t6,and(carry_def,not(t7)))) != not(xor(t6,and(carry_def,not(t7))))
| xor(t6,and(carry_def,not(t7))) != and(t6,or(t1,t7))
| not(xor(t6,and(carry_def,not(t7)))) = not(and(t6,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t6,and(carry_def,not(t7)))),not(xor(t6,and(carry_def,not(t7))))) ),[1,0],$fot(and(t6,or(t1,t7)))]]) ).
cnf(refute_0_15297,plain,
( xor(t6,and(carry_def,not(t7))) != and(t6,or(t1,t7))
| not(xor(t6,and(carry_def,not(t7)))) = not(and(t6,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(not(xor(t6,and(carry_def,not(t7)))),not(xor(t6,and(carry_def,not(t7))))) )],[refute_0_15295,refute_0_15296]) ).
cnf(refute_0_15298,plain,
not(xor(t6,and(carry_def,not(t7)))) = not(and(t6,or(t1,t7))),
inference(resolve,[$cnf( $equal(xor(t6,and(carry_def,not(t7))),and(t6,or(t1,t7))) )],[refute_0_15294,refute_0_15297]) ).
cnf(refute_0_15299,plain,
( not(and(t6,or(t1,t7))) != and(sum,or(a,b))
| not(xor(t6,and(carry_def,not(t7)))) != not(and(t6,or(t1,t7)))
| not(xor(t6,and(carry_def,not(t7)))) = and(sum,or(a,b)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t6,and(carry_def,not(t7)))))),bind(Y0,$fot(not(and(t6,or(t1,t7))))),bind(Z0,$fot(and(sum,or(a,b))))]]) ).
cnf(refute_0_15300,plain,
( not(and(t6,or(t1,t7))) != and(sum,or(a,b))
| not(xor(t6,and(carry_def,not(t7)))) = and(sum,or(a,b)) ),
inference(resolve,[$cnf( $equal(not(xor(t6,and(carry_def,not(t7)))),not(and(t6,or(t1,t7)))) )],[refute_0_15298,refute_0_15299]) ).
cnf(refute_0_15301,plain,
not(xor(t6,and(carry_def,not(t7)))) = and(sum,or(a,b)),
inference(resolve,[$cnf( $equal(not(and(t6,or(t1,t7))),and(sum,or(a,b))) )],[refute_0_14981,refute_0_15300]) ).
cnf(refute_0_15302,plain,
( not(xor(t6,and(carry_def,not(t7)))) != and(sum,or(a,b))
| not(xor(t6,and(carry_def,not(t7)))) != xor(t4,and(carry_def,cin))
| and(sum,or(a,b)) = xor(t4,and(carry_def,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t6,and(carry_def,not(t7)))),xor(t4,and(carry_def,cin))) ),[0],$fot(and(sum,or(a,b)))]]) ).
cnf(refute_0_15303,plain,
( not(xor(t6,and(carry_def,not(t7)))) != xor(t4,and(carry_def,cin))
| and(sum,or(a,b)) = xor(t4,and(carry_def,cin)) ),
inference(resolve,[$cnf( $equal(not(xor(t6,and(carry_def,not(t7)))),and(sum,or(a,b))) )],[refute_0_15301,refute_0_15302]) ).
cnf(refute_0_15304,plain,
and(sum,or(a,b)) = xor(t4,and(carry_def,cin)),
inference(resolve,[$cnf( $equal(not(xor(t6,and(carry_def,not(t7)))),xor(t4,and(carry_def,cin))) )],[refute_0_14970,refute_0_15303]) ).
cnf(refute_0_15305,plain,
( and(sum,or(a,b)) != xor(t4,and(carry_def,cin))
| xor(t4,and(carry_def,cin)) = and(sum,or(a,b)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(sum,or(a,b)))),bind(Y0,$fot(xor(t4,and(carry_def,cin))))]]) ).
cnf(refute_0_15306,plain,
xor(t4,and(carry_def,cin)) = and(sum,or(a,b)),
inference(resolve,[$cnf( $equal(and(sum,or(a,b)),xor(t4,and(carry_def,cin))) )],[refute_0_15304,refute_0_15305]) ).
cnf(refute_0_15307,plain,
( xor(cin,xor(t4,and(carry_def,cin))) != xor(sum,and(carry_def,cin))
| xor(t4,and(carry_def,cin)) != and(sum,or(a,b))
| xor(cin,and(sum,or(a,b))) = xor(sum,and(carry_def,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t4,and(carry_def,cin))),xor(sum,and(carry_def,cin))) ),[0,1],$fot(and(sum,or(a,b)))]]) ).
cnf(refute_0_15308,plain,
( xor(cin,xor(t4,and(carry_def,cin))) != xor(sum,and(carry_def,cin))
| xor(cin,and(sum,or(a,b))) = xor(sum,and(carry_def,cin)) ),
inference(resolve,[$cnf( $equal(xor(t4,and(carry_def,cin)),and(sum,or(a,b))) )],[refute_0_15306,refute_0_15307]) ).
cnf(refute_0_15309,plain,
xor(cin,and(sum,or(a,b))) = xor(sum,and(carry_def,cin)),
inference(resolve,[$cnf( $equal(xor(cin,xor(t4,and(carry_def,cin))),xor(sum,and(carry_def,cin))) )],[refute_0_14885,refute_0_15308]) ).
cnf(refute_0_15310,plain,
xor(t5,xor(t7,and(sum,or(a,b)))) = xor(cin,and(sum,or(a,b))),
inference(subst,[],[refute_0_8910:[bind(Z,$fot(and(sum,or(a,b))))]]) ).
cnf(refute_0_15311,plain,
( xor(t5,xor(t7,and(sum,or(a,b)))) != xor(cin,and(sum,or(a,b)))
| xor(t7,and(sum,or(a,b))) != not(and(sum,t1))
| xor(t5,not(and(sum,t1))) = xor(cin,and(sum,or(a,b))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t5,xor(t7,and(sum,or(a,b)))),xor(cin,and(sum,or(a,b)))) ),[0,1],$fot(not(and(sum,t1)))]]) ).
cnf(refute_0_15312,plain,
( xor(t5,xor(t7,and(sum,or(a,b)))) != xor(cin,and(sum,or(a,b)))
| xor(t5,not(and(sum,t1))) = xor(cin,and(sum,or(a,b))) ),
inference(resolve,[$cnf( $equal(xor(t7,and(sum,or(a,b))),not(and(sum,t1))) )],[refute_0_11196,refute_0_15311]) ).
cnf(refute_0_15313,plain,
xor(t5,not(and(sum,t1))) = xor(cin,and(sum,or(a,b))),
inference(resolve,[$cnf( $equal(xor(t5,xor(t7,and(sum,or(a,b)))),xor(cin,and(sum,or(a,b)))) )],[refute_0_15310,refute_0_15312]) ).
cnf(refute_0_15314,plain,
xor(t5,not(and(sum,t1))) = not(xor(t5,and(sum,t1))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t5)),bind(X_334,$fot(and(sum,t1)))]]) ).
cnf(refute_0_15315,plain,
( xor(t5,not(and(sum,t1))) != not(xor(t5,and(sum,t1)))
| xor(t5,not(and(sum,t1))) != xor(cin,and(sum,or(a,b)))
| not(xor(t5,and(sum,t1))) = xor(cin,and(sum,or(a,b))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t5,not(and(sum,t1))),xor(cin,and(sum,or(a,b)))) ),[0],$fot(not(xor(t5,and(sum,t1))))]]) ).
cnf(refute_0_15316,plain,
( xor(t5,not(and(sum,t1))) != xor(cin,and(sum,or(a,b)))
| not(xor(t5,and(sum,t1))) = xor(cin,and(sum,or(a,b))) ),
inference(resolve,[$cnf( $equal(xor(t5,not(and(sum,t1))),not(xor(t5,and(sum,t1)))) )],[refute_0_15314,refute_0_15315]) ).
cnf(refute_0_15317,plain,
not(xor(t5,and(sum,t1))) = xor(cin,and(sum,or(a,b))),
inference(resolve,[$cnf( $equal(xor(t5,not(and(sum,t1))),xor(cin,and(sum,or(a,b)))) )],[refute_0_15313,refute_0_15316]) ).
cnf(refute_0_15318,plain,
xor(and(t6,or(t1,t7)),cin) = xor(cin,and(t6,or(t1,t7))),
inference(subst,[],[xor_commutative:[bind(X,$fot(and(t6,or(t1,t7)))),bind(Y,$fot(cin))]]) ).
cnf(refute_0_15319,plain,
xor(t5,xor(t7,and(t6,or(t1,t7)))) = xor(cin,and(t6,or(t1,t7))),
inference(subst,[],[refute_0_8910:[bind(Z,$fot(and(t6,or(t1,t7))))]]) ).
cnf(refute_0_15320,plain,
( xor(t5,xor(t7,and(t6,or(t1,t7)))) != xor(cin,and(t6,or(t1,t7)))
| xor(t7,and(t6,or(t1,t7))) != and(sum,t1)
| xor(t5,and(sum,t1)) = xor(cin,and(t6,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t5,xor(t7,and(t6,or(t1,t7)))),xor(cin,and(t6,or(t1,t7)))) ),[0,1],$fot(and(sum,t1))]]) ).
cnf(refute_0_15321,plain,
( xor(t5,xor(t7,and(t6,or(t1,t7)))) != xor(cin,and(t6,or(t1,t7)))
| xor(t5,and(sum,t1)) = xor(cin,and(t6,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(xor(t7,and(t6,or(t1,t7))),and(sum,t1)) )],[refute_0_11965,refute_0_15320]) ).
cnf(refute_0_15322,plain,
xor(t5,and(sum,t1)) = xor(cin,and(t6,or(t1,t7))),
inference(resolve,[$cnf( $equal(xor(t5,xor(t7,and(t6,or(t1,t7)))),xor(cin,and(t6,or(t1,t7)))) )],[refute_0_15319,refute_0_15321]) ).
cnf(refute_0_15323,plain,
( xor(t5,and(sum,t1)) != xor(cin,and(t6,or(t1,t7)))
| xor(cin,and(t6,or(t1,t7))) = xor(t5,and(sum,t1)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t5,and(sum,t1)))),bind(Y0,$fot(xor(cin,and(t6,or(t1,t7)))))]]) ).
cnf(refute_0_15324,plain,
xor(cin,and(t6,or(t1,t7))) = xor(t5,and(sum,t1)),
inference(resolve,[$cnf( $equal(xor(t5,and(sum,t1)),xor(cin,and(t6,or(t1,t7)))) )],[refute_0_15322,refute_0_15323]) ).
cnf(refute_0_15325,plain,
( xor(and(t6,or(t1,t7)),cin) != xor(cin,and(t6,or(t1,t7)))
| xor(cin,and(t6,or(t1,t7))) != xor(t5,and(sum,t1))
| xor(and(t6,or(t1,t7)),cin) = xor(t5,and(sum,t1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(and(t6,or(t1,t7)),cin),xor(t5,and(sum,t1))) ),[0],$fot(xor(cin,and(t6,or(t1,t7))))]]) ).
cnf(refute_0_15326,plain,
( xor(and(t6,or(t1,t7)),cin) != xor(cin,and(t6,or(t1,t7)))
| xor(and(t6,or(t1,t7)),cin) = xor(t5,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(xor(cin,and(t6,or(t1,t7))),xor(t5,and(sum,t1))) )],[refute_0_15324,refute_0_15325]) ).
cnf(refute_0_15327,plain,
xor(and(t6,or(t1,t7)),cin) = xor(t5,and(sum,t1)),
inference(resolve,[$cnf( $equal(xor(and(t6,or(t1,t7)),cin),xor(cin,and(t6,or(t1,t7)))) )],[refute_0_15318,refute_0_15326]) ).
cnf(refute_0_15328,plain,
xor(cin,xor(sum,or(a,t7))) = xor(t4,or(a,t7)),
inference(subst,[],[refute_0_12402:[bind(Z,$fot(or(a,t7)))]]) ).
cnf(refute_0_15329,plain,
xor(sum,xor(cin,or(a,t7))) = xor(cin,xor(sum,or(a,t7))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(cin)),bind(X_334,$fot(sum)),bind(X_335,$fot(or(a,t7)))]]) ).
cnf(refute_0_15330,plain,
( xor(cin,xor(sum,or(a,t7))) != xor(t4,or(a,t7))
| xor(sum,xor(cin,or(a,t7))) != xor(cin,xor(sum,or(a,t7)))
| xor(sum,xor(cin,or(a,t7))) = xor(t4,or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(sum,xor(cin,or(a,t7))))),bind(Y0,$fot(xor(cin,xor(sum,or(a,t7))))),bind(Z0,$fot(xor(t4,or(a,t7))))]]) ).
cnf(refute_0_15331,plain,
( xor(cin,xor(sum,or(a,t7))) != xor(t4,or(a,t7))
| xor(sum,xor(cin,or(a,t7))) = xor(t4,or(a,t7)) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(cin,or(a,t7))),xor(cin,xor(sum,or(a,t7)))) )],[refute_0_15329,refute_0_15330]) ).
cnf(refute_0_15332,plain,
xor(sum,xor(cin,or(a,t7))) = xor(t4,or(a,t7)),
inference(resolve,[$cnf( $equal(xor(cin,xor(sum,or(a,t7))),xor(t4,or(a,t7))) )],[refute_0_15328,refute_0_15331]) ).
cnf(refute_0_15333,plain,
xor(sum,xor(or(a,t7),cin)) = xor(sum,xor(cin,or(a,t7))),
inference(subst,[],[refute_0_2105:[bind(X_333,$fot(sum)),bind(X_334,$fot(or(a,t7))),bind(X_335,$fot(cin))]]) ).
cnf(refute_0_15334,plain,
( xor(sum,xor(cin,or(a,t7))) != xor(t4,or(a,t7))
| xor(sum,xor(or(a,t7),cin)) != xor(sum,xor(cin,or(a,t7)))
| xor(sum,xor(or(a,t7),cin)) = xor(t4,or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(sum,xor(or(a,t7),cin)))),bind(Y0,$fot(xor(sum,xor(cin,or(a,t7))))),bind(Z0,$fot(xor(t4,or(a,t7))))]]) ).
cnf(refute_0_15335,plain,
( xor(sum,xor(cin,or(a,t7))) != xor(t4,or(a,t7))
| xor(sum,xor(or(a,t7),cin)) = xor(t4,or(a,t7)) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(or(a,t7),cin)),xor(sum,xor(cin,or(a,t7)))) )],[refute_0_15333,refute_0_15334]) ).
cnf(refute_0_15336,plain,
xor(sum,xor(or(a,t7),cin)) = xor(t4,or(a,t7)),
inference(resolve,[$cnf( $equal(xor(sum,xor(cin,or(a,t7))),xor(t4,or(a,t7))) )],[refute_0_15332,refute_0_15335]) ).
cnf(refute_0_15337,plain,
xor(sum,xor(or(a,t7),Z)) = xor(xor(sum,or(a,t7)),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(sum)),bind(Y,$fot(or(a,t7)))]]) ).
cnf(refute_0_15338,plain,
( xor(sum,or(a,t7)) != and(t6,or(t1,t7))
| xor(sum,xor(or(a,t7),Z)) != xor(xor(sum,or(a,t7)),Z)
| xor(sum,xor(or(a,t7),Z)) = xor(and(t6,or(t1,t7)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,xor(or(a,t7),Z)),xor(xor(sum,or(a,t7)),Z)) ),[1,0],$fot(and(t6,or(t1,t7)))]]) ).
cnf(refute_0_15339,plain,
( xor(sum,xor(or(a,t7),Z)) != xor(xor(sum,or(a,t7)),Z)
| xor(sum,xor(or(a,t7),Z)) = xor(and(t6,or(t1,t7)),Z) ),
inference(resolve,[$cnf( $equal(xor(sum,or(a,t7)),and(t6,or(t1,t7))) )],[refute_0_10985,refute_0_15338]) ).
cnf(refute_0_15340,plain,
xor(sum,xor(or(a,t7),Z)) = xor(and(t6,or(t1,t7)),Z),
inference(resolve,[$cnf( $equal(xor(sum,xor(or(a,t7),Z)),xor(xor(sum,or(a,t7)),Z)) )],[refute_0_15337,refute_0_15339]) ).
cnf(refute_0_15341,plain,
( xor(sum,xor(or(a,t7),Z)) != xor(and(t6,or(t1,t7)),Z)
| xor(and(t6,or(t1,t7)),Z) = xor(sum,xor(or(a,t7),Z)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(sum,xor(or(a,t7),Z)))),bind(Y0,$fot(xor(and(t6,or(t1,t7)),Z)))]]) ).
cnf(refute_0_15342,plain,
xor(and(t6,or(t1,t7)),Z) = xor(sum,xor(or(a,t7),Z)),
inference(resolve,[$cnf( $equal(xor(sum,xor(or(a,t7),Z)),xor(and(t6,or(t1,t7)),Z)) )],[refute_0_15340,refute_0_15341]) ).
cnf(refute_0_15343,plain,
xor(and(t6,or(t1,t7)),cin) = xor(sum,xor(or(a,t7),cin)),
inference(subst,[],[refute_0_15342:[bind(Z,$fot(cin))]]) ).
cnf(refute_0_15344,plain,
( xor(and(t6,or(t1,t7)),cin) != xor(sum,xor(or(a,t7),cin))
| xor(sum,xor(or(a,t7),cin)) != xor(t4,or(a,t7))
| xor(and(t6,or(t1,t7)),cin) = xor(t4,or(a,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(and(t6,or(t1,t7)),cin))),bind(Y0,$fot(xor(sum,xor(or(a,t7),cin)))),bind(Z0,$fot(xor(t4,or(a,t7))))]]) ).
cnf(refute_0_15345,plain,
( xor(sum,xor(or(a,t7),cin)) != xor(t4,or(a,t7))
| xor(and(t6,or(t1,t7)),cin) = xor(t4,or(a,t7)) ),
inference(resolve,[$cnf( $equal(xor(and(t6,or(t1,t7)),cin),xor(sum,xor(or(a,t7),cin))) )],[refute_0_15343,refute_0_15344]) ).
cnf(refute_0_15346,plain,
xor(and(t6,or(t1,t7)),cin) = xor(t4,or(a,t7)),
inference(resolve,[$cnf( $equal(xor(sum,xor(or(a,t7),cin)),xor(t4,or(a,t7))) )],[refute_0_15336,refute_0_15345]) ).
cnf(refute_0_15347,plain,
( xor(and(t6,or(t1,t7)),cin) != xor(t4,or(a,t7))
| xor(and(t6,or(t1,t7)),cin) != xor(t5,and(sum,t1))
| xor(t4,or(a,t7)) = xor(t5,and(sum,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(and(t6,or(t1,t7)),cin),xor(t5,and(sum,t1))) ),[0],$fot(xor(t4,or(a,t7)))]]) ).
cnf(refute_0_15348,plain,
( xor(and(t6,or(t1,t7)),cin) != xor(t5,and(sum,t1))
| xor(t4,or(a,t7)) = xor(t5,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(xor(and(t6,or(t1,t7)),cin),xor(t4,or(a,t7))) )],[refute_0_15346,refute_0_15347]) ).
cnf(refute_0_15349,plain,
xor(t4,or(a,t7)) = xor(t5,and(sum,t1)),
inference(resolve,[$cnf( $equal(xor(and(t6,or(t1,t7)),cin),xor(t5,and(sum,t1))) )],[refute_0_15327,refute_0_15348]) ).
cnf(refute_0_15350,plain,
( xor(t4,or(a,t7)) != xor(t5,and(sum,t1))
| xor(t5,and(sum,t1)) = xor(t4,or(a,t7)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t4,or(a,t7)))),bind(Y0,$fot(xor(t5,and(sum,t1))))]]) ).
cnf(refute_0_15351,plain,
xor(t5,and(sum,t1)) = xor(t4,or(a,t7)),
inference(resolve,[$cnf( $equal(xor(t4,or(a,t7)),xor(t5,and(sum,t1))) )],[refute_0_15349,refute_0_15350]) ).
cnf(refute_0_15352,plain,
not(xor(t5,and(sum,t1))) = not(xor(t5,and(sum,t1))),
introduced(tautology,[refl,[$fot(not(xor(t5,and(sum,t1))))]]) ).
cnf(refute_0_15353,plain,
( not(xor(t5,and(sum,t1))) != not(xor(t5,and(sum,t1)))
| xor(t5,and(sum,t1)) != xor(t4,or(a,t7))
| not(xor(t5,and(sum,t1))) = not(xor(t4,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t5,and(sum,t1))),not(xor(t5,and(sum,t1)))) ),[1,0],$fot(xor(t4,or(a,t7)))]]) ).
cnf(refute_0_15354,plain,
( xor(t5,and(sum,t1)) != xor(t4,or(a,t7))
| not(xor(t5,and(sum,t1))) = not(xor(t4,or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(xor(t5,and(sum,t1))),not(xor(t5,and(sum,t1)))) )],[refute_0_15352,refute_0_15353]) ).
cnf(refute_0_15355,plain,
not(xor(t5,and(sum,t1))) = not(xor(t4,or(a,t7))),
inference(resolve,[$cnf( $equal(xor(t5,and(sum,t1)),xor(t4,or(a,t7))) )],[refute_0_15351,refute_0_15354]) ).
cnf(refute_0_15356,plain,
( not(xor(t4,or(a,t7))) != or(t4,and(sum,t1))
| not(xor(t5,and(sum,t1))) != not(xor(t4,or(a,t7)))
| not(xor(t5,and(sum,t1))) = or(t4,and(sum,t1)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t5,and(sum,t1))))),bind(Y0,$fot(not(xor(t4,or(a,t7))))),bind(Z0,$fot(or(t4,and(sum,t1))))]]) ).
cnf(refute_0_15357,plain,
( not(xor(t4,or(a,t7))) != or(t4,and(sum,t1))
| not(xor(t5,and(sum,t1))) = or(t4,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(not(xor(t5,and(sum,t1))),not(xor(t4,or(a,t7)))) )],[refute_0_15355,refute_0_15356]) ).
cnf(refute_0_15358,plain,
not(xor(t5,and(sum,t1))) = or(t4,and(sum,t1)),
inference(resolve,[$cnf( $equal(not(xor(t4,or(a,t7))),or(t4,and(sum,t1))) )],[refute_0_13240,refute_0_15357]) ).
cnf(refute_0_15359,plain,
( not(xor(t5,and(sum,t1))) != or(t4,and(sum,t1))
| not(xor(t5,and(sum,t1))) != xor(cin,and(sum,or(a,b)))
| or(t4,and(sum,t1)) = xor(cin,and(sum,or(a,b))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t5,and(sum,t1))),xor(cin,and(sum,or(a,b)))) ),[0],$fot(or(t4,and(sum,t1)))]]) ).
cnf(refute_0_15360,plain,
( not(xor(t5,and(sum,t1))) != xor(cin,and(sum,or(a,b)))
| or(t4,and(sum,t1)) = xor(cin,and(sum,or(a,b))) ),
inference(resolve,[$cnf( $equal(not(xor(t5,and(sum,t1))),or(t4,and(sum,t1))) )],[refute_0_15358,refute_0_15359]) ).
cnf(refute_0_15361,plain,
or(t4,and(sum,t1)) = xor(cin,and(sum,or(a,b))),
inference(resolve,[$cnf( $equal(not(xor(t5,and(sum,t1))),xor(cin,and(sum,or(a,b)))) )],[refute_0_15317,refute_0_15360]) ).
cnf(refute_0_15362,plain,
( or(t4,and(sum,t1)) != and(t1,or(cin,sum))
| or(t4,and(sum,t1)) != xor(cin,and(sum,or(a,b)))
| and(t1,or(cin,sum)) = xor(cin,and(sum,or(a,b))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,and(sum,t1)),xor(cin,and(sum,or(a,b)))) ),[0],$fot(and(t1,or(cin,sum)))]]) ).
cnf(refute_0_15363,plain,
( or(t4,and(sum,t1)) != xor(cin,and(sum,or(a,b)))
| and(t1,or(cin,sum)) = xor(cin,and(sum,or(a,b))) ),
inference(resolve,[$cnf( $equal(or(t4,and(sum,t1)),and(t1,or(cin,sum))) )],[refute_0_13758,refute_0_15362]) ).
cnf(refute_0_15364,plain,
and(t1,or(cin,sum)) = xor(cin,and(sum,or(a,b))),
inference(resolve,[$cnf( $equal(or(t4,and(sum,t1)),xor(cin,and(sum,or(a,b)))) )],[refute_0_15361,refute_0_15363]) ).
cnf(refute_0_15365,plain,
( and(t1,or(cin,sum)) != xor(cin,and(sum,or(a,b)))
| xor(cin,and(sum,or(a,b))) = and(t1,or(cin,sum)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t1,or(cin,sum)))),bind(Y0,$fot(xor(cin,and(sum,or(a,b)))))]]) ).
cnf(refute_0_15366,plain,
xor(cin,and(sum,or(a,b))) = and(t1,or(cin,sum)),
inference(resolve,[$cnf( $equal(and(t1,or(cin,sum)),xor(cin,and(sum,or(a,b)))) )],[refute_0_15364,refute_0_15365]) ).
cnf(refute_0_15367,plain,
( xor(cin,and(sum,or(a,b))) != and(t1,or(cin,sum))
| xor(cin,and(sum,or(a,b))) != xor(sum,and(carry_def,cin))
| and(t1,or(cin,sum)) = xor(sum,and(carry_def,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,and(sum,or(a,b))),xor(sum,and(carry_def,cin))) ),[0],$fot(and(t1,or(cin,sum)))]]) ).
cnf(refute_0_15368,plain,
( xor(cin,and(sum,or(a,b))) != xor(sum,and(carry_def,cin))
| and(t1,or(cin,sum)) = xor(sum,and(carry_def,cin)) ),
inference(resolve,[$cnf( $equal(xor(cin,and(sum,or(a,b))),and(t1,or(cin,sum))) )],[refute_0_15366,refute_0_15367]) ).
cnf(refute_0_15369,plain,
and(t1,or(cin,sum)) = xor(sum,and(carry_def,cin)),
inference(resolve,[$cnf( $equal(xor(cin,and(sum,or(a,b))),xor(sum,and(carry_def,cin))) )],[refute_0_15309,refute_0_15368]) ).
cnf(refute_0_15370,plain,
( and(t1,or(cin,sum)) != xor(sum,and(carry_def,cin))
| xor(sum,and(carry_def,cin)) = and(t1,or(cin,sum)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t1,or(cin,sum)))),bind(Y0,$fot(xor(sum,and(carry_def,cin))))]]) ).
cnf(refute_0_15371,plain,
xor(sum,and(carry_def,cin)) = and(t1,or(cin,sum)),
inference(resolve,[$cnf( $equal(and(t1,or(cin,sum)),xor(sum,and(carry_def,cin))) )],[refute_0_15369,refute_0_15370]) ).
cnf(refute_0_15372,plain,
( xor(sum,and(carry_def,cin)) != and(t1,or(cin,sum))
| xor(sum,xor(and(carry_def,cin),Z)) != xor(xor(sum,and(carry_def,cin)),Z)
| xor(sum,xor(and(carry_def,cin),Z)) = xor(and(t1,or(cin,sum)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,xor(and(carry_def,cin),Z)),xor(xor(sum,and(carry_def,cin)),Z)) ),[1,0],$fot(and(t1,or(cin,sum)))]]) ).
cnf(refute_0_15373,plain,
( xor(sum,xor(and(carry_def,cin),Z)) != xor(xor(sum,and(carry_def,cin)),Z)
| xor(sum,xor(and(carry_def,cin),Z)) = xor(and(t1,or(cin,sum)),Z) ),
inference(resolve,[$cnf( $equal(xor(sum,and(carry_def,cin)),and(t1,or(cin,sum))) )],[refute_0_15371,refute_0_15372]) ).
cnf(refute_0_15374,plain,
xor(sum,xor(and(carry_def,cin),Z)) = xor(and(t1,or(cin,sum)),Z),
inference(resolve,[$cnf( $equal(xor(sum,xor(and(carry_def,cin),Z)),xor(xor(sum,and(carry_def,cin)),Z)) )],[refute_0_14884,refute_0_15373]) ).
cnf(refute_0_15375,plain,
( xor(sum,xor(and(carry_def,cin),Z)) != xor(and(t1,or(cin,sum)),Z)
| xor(and(t1,or(cin,sum)),Z) = xor(sum,xor(and(carry_def,cin),Z)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(sum,xor(and(carry_def,cin),Z)))),bind(Y0,$fot(xor(and(t1,or(cin,sum)),Z)))]]) ).
cnf(refute_0_15376,plain,
xor(and(t1,or(cin,sum)),Z) = xor(sum,xor(and(carry_def,cin),Z)),
inference(resolve,[$cnf( $equal(xor(sum,xor(and(carry_def,cin),Z)),xor(and(t1,or(cin,sum)),Z)) )],[refute_0_15374,refute_0_15375]) ).
cnf(refute_0_15377,plain,
xor(and(t1,or(cin,sum)),or(and(sum,t1),t4)) = xor(sum,xor(and(carry_def,cin),or(and(sum,t1),t4))),
inference(subst,[],[refute_0_15376:[bind(Z,$fot(or(and(sum,t1),t4)))]]) ).
cnf(refute_0_15378,plain,
( xor(and(t1,or(cin,sum)),or(and(sum,t1),t4)) != xor(sum,xor(and(carry_def,cin),or(and(sum,t1),t4)))
| xor(sum,xor(and(carry_def,cin),or(and(sum,t1),t4))) != xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum))))
| xor(and(t1,or(cin,sum)),or(and(sum,t1),t4)) = xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(and(t1,or(cin,sum)),or(and(sum,t1),t4)))),bind(Y0,$fot(xor(sum,xor(and(carry_def,cin),or(and(sum,t1),t4))))),bind(Z0,$fot(xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum))))))]]) ).
cnf(refute_0_15379,plain,
( xor(sum,xor(and(carry_def,cin),or(and(sum,t1),t4))) != xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum))))
| xor(and(t1,or(cin,sum)),or(and(sum,t1),t4)) = xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum)))) ),
inference(resolve,[$cnf( $equal(xor(and(t1,or(cin,sum)),or(and(sum,t1),t4)),xor(sum,xor(and(carry_def,cin),or(and(sum,t1),t4)))) )],[refute_0_15377,refute_0_15378]) ).
cnf(refute_0_15380,plain,
xor(and(t1,or(cin,sum)),or(and(sum,t1),t4)) = xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum)))),
inference(resolve,[$cnf( $equal(xor(sum,xor(and(carry_def,cin),or(and(sum,t1),t4))),xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum))))) )],[refute_0_14883,refute_0_15379]) ).
cnf(refute_0_15381,plain,
( ll0 != xor(and(t1,or(cin,sum)),or(and(sum,t1),t4))
| xor(and(t1,or(cin,sum)),or(and(sum,t1),t4)) != xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum))))
| ll0 = xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll0,xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum))))) ),[0],$fot(xor(and(t1,or(cin,sum)),or(and(sum,t1),t4)))]]) ).
cnf(refute_0_15382,plain,
( ll0 != xor(and(t1,or(cin,sum)),or(and(sum,t1),t4))
| ll0 = xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum)))) ),
inference(resolve,[$cnf( $equal(xor(and(t1,or(cin,sum)),or(and(sum,t1),t4)),xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum))))) )],[refute_0_15380,refute_0_15381]) ).
cnf(refute_0_15383,plain,
ll0 = xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum)))),
inference(resolve,[$cnf( $equal(ll0,xor(and(t1,or(cin,sum)),or(and(sum,t1),t4))) )],[refute_0_14871,refute_0_15382]) ).
cnf(refute_0_15384,plain,
( ll0 != xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum))))
| xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum)))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum))))))]]) ).
cnf(refute_0_15385,plain,
xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum)))) = ll0,
inference(resolve,[$cnf( $equal(ll0,xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum))))) )],[refute_0_15383,refute_0_15384]) ).
cnf(refute_0_15386,plain,
( xor(a,xor(t3,xor(t7,xor(and(carry_def,cin),and(t1,or(cin,sum)))))) != xor(carry,xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum)))))
| xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum)))) != ll0
| xor(a,xor(t3,xor(t7,xor(and(carry_def,cin),and(t1,or(cin,sum)))))) = xor(carry,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t3,xor(t7,xor(and(carry_def,cin),and(t1,or(cin,sum)))))),xor(carry,xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum)))))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_15387,plain,
( xor(a,xor(t3,xor(t7,xor(and(carry_def,cin),and(t1,or(cin,sum)))))) != xor(carry,xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum)))))
| xor(a,xor(t3,xor(t7,xor(and(carry_def,cin),and(t1,or(cin,sum)))))) = xor(carry,ll0) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum)))),ll0) )],[refute_0_15385,refute_0_15386]) ).
cnf(refute_0_15388,plain,
xor(a,xor(t3,xor(t7,xor(and(carry_def,cin),and(t1,or(cin,sum)))))) = xor(carry,ll0),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,xor(t7,xor(and(carry_def,cin),and(t1,or(cin,sum)))))),xor(carry,xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum)))))) )],[refute_0_14867,refute_0_15387]) ).
cnf(refute_0_15389,plain,
xor(carry,xor(and(t1,or(cin,sum)),Z)) = xor(xor(carry,and(t1,or(cin,sum))),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(carry)),bind(Y,$fot(and(t1,or(cin,sum))))]]) ).
cnf(refute_0_15390,plain,
xor(and(t1,or(a,t7)),t6) = xor(sum,xor(t7,and(t1,or(a,t7)))),
inference(subst,[],[refute_0_5995:[bind(X_385,$fot(and(t1,or(a,t7))))]]) ).
cnf(refute_0_15391,plain,
xor(cin,xor(t5,and(t1,or(a,t7)))) = xor(t7,and(t1,or(a,t7))),
inference(subst,[],[refute_0_2486:[bind(X_335,$fot(and(t1,or(a,t7))))]]) ).
cnf(refute_0_15392,plain,
xor(t5,xor(t5,or(carry,cin))) = or(carry,cin),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(t5)),bind(X_335,$fot(or(carry,cin)))]]) ).
cnf(refute_0_15393,plain,
or(and(t1,not(xor(carry,or(carry,cin)))),and(not(t1),xor(carry,or(carry,cin)))) = xor(t1,xor(carry,or(carry,cin))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t1)),bind(Y,$fot(xor(carry,or(carry,cin))))]]) ).
cnf(refute_0_15394,plain,
and(or(t1,not(xor(carry,or(carry,cin)))),not(or(not(xor(carry,or(carry,cin))),t1))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(not(xor(carry,or(carry,cin))))),bind(X_28,$fot(t1))]]) ).
cnf(refute_0_15395,plain,
ll1 = or(t1,not(and(t1,xor(carry,or(carry,cin))))),
inference(subst,[],[refute_0_7235:[bind(Y,$fot(xor(carry,or(carry,cin)))),bind(X_53,$fot(t1))]]) ).
cnf(refute_0_15396,plain,
( and(t1,xor(carry,or(carry,cin))) != xor(carry,or(carry,cin))
| ll1 != or(t1,not(and(t1,xor(carry,or(carry,cin)))))
| ll1 = or(t1,not(xor(carry,or(carry,cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t1,not(and(t1,xor(carry,or(carry,cin)))))) ),[1,1,0],$fot(xor(carry,or(carry,cin)))]]) ).
cnf(refute_0_15397,plain,
( ll1 != or(t1,not(and(t1,xor(carry,or(carry,cin)))))
| ll1 = or(t1,not(xor(carry,or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(and(t1,xor(carry,or(carry,cin))),xor(carry,or(carry,cin))) )],[refute_0_11780,refute_0_15396]) ).
cnf(refute_0_15398,plain,
ll1 = or(t1,not(xor(carry,or(carry,cin)))),
inference(resolve,[$cnf( $equal(ll1,or(t1,not(and(t1,xor(carry,or(carry,cin)))))) )],[refute_0_15395,refute_0_15397]) ).
cnf(refute_0_15399,plain,
( ll1 != or(t1,not(xor(carry,or(carry,cin))))
| or(t1,not(xor(carry,or(carry,cin)))) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(t1,not(xor(carry,or(carry,cin))))))]]) ).
cnf(refute_0_15400,plain,
or(t1,not(xor(carry,or(carry,cin)))) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(t1,not(xor(carry,or(carry,cin))))) )],[refute_0_15398,refute_0_15399]) ).
cnf(refute_0_15401,plain,
( and(or(t1,not(xor(carry,or(carry,cin)))),not(or(not(xor(carry,or(carry,cin))),t1))) != ll0
| or(t1,not(xor(carry,or(carry,cin)))) != ll1
| and(ll1,not(or(not(xor(carry,or(carry,cin))),t1))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(t1,not(xor(carry,or(carry,cin)))),not(or(not(xor(carry,or(carry,cin))),t1))),ll0) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_15402,plain,
( and(or(t1,not(xor(carry,or(carry,cin)))),not(or(not(xor(carry,or(carry,cin))),t1))) != ll0
| and(ll1,not(or(not(xor(carry,or(carry,cin))),t1))) = ll0 ),
inference(resolve,[$cnf( $equal(or(t1,not(xor(carry,or(carry,cin)))),ll1) )],[refute_0_15400,refute_0_15401]) ).
cnf(refute_0_15403,plain,
and(ll1,not(or(not(xor(carry,or(carry,cin))),t1))) = ll0,
inference(resolve,[$cnf( $equal(and(or(t1,not(xor(carry,or(carry,cin)))),not(or(not(xor(carry,or(carry,cin))),t1))),ll0) )],[refute_0_15394,refute_0_15402]) ).
cnf(refute_0_15404,plain,
not(or(t1,not(xor(carry,or(carry,cin))))) = and(not(t1),xor(carry,or(carry,cin))),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(carry,or(carry,cin)))),bind(X_25,$fot(t1))]]) ).
cnf(refute_0_15405,plain,
and(ll1,not(or(t1,not(xor(carry,or(carry,cin)))))) = not(or(t1,not(xor(carry,or(carry,cin))))),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(or(t1,not(xor(carry,or(carry,cin)))))))]]) ).
cnf(refute_0_15406,plain,
( and(ll1,not(or(t1,not(xor(carry,or(carry,cin)))))) != not(or(t1,not(xor(carry,or(carry,cin)))))
| not(or(t1,not(xor(carry,or(carry,cin))))) != and(not(t1),xor(carry,or(carry,cin)))
| and(ll1,not(or(t1,not(xor(carry,or(carry,cin)))))) = and(not(t1),xor(carry,or(carry,cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(t1,not(xor(carry,or(carry,cin)))))))),bind(Y0,$fot(not(or(t1,not(xor(carry,or(carry,cin))))))),bind(Z0,$fot(and(not(t1),xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_15407,plain,
( not(or(t1,not(xor(carry,or(carry,cin))))) != and(not(t1),xor(carry,or(carry,cin)))
| and(ll1,not(or(t1,not(xor(carry,or(carry,cin)))))) = and(not(t1),xor(carry,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t1,not(xor(carry,or(carry,cin)))))),not(or(t1,not(xor(carry,or(carry,cin)))))) )],[refute_0_15405,refute_0_15406]) ).
cnf(refute_0_15408,plain,
and(ll1,not(or(t1,not(xor(carry,or(carry,cin)))))) = and(not(t1),xor(carry,or(carry,cin))),
inference(resolve,[$cnf( $equal(not(or(t1,not(xor(carry,or(carry,cin))))),and(not(t1),xor(carry,or(carry,cin)))) )],[refute_0_15404,refute_0_15407]) ).
cnf(refute_0_15409,plain,
and(ll1,not(or(not(xor(carry,or(carry,cin))),t1))) = and(ll1,not(or(t1,not(xor(carry,or(carry,cin)))))),
inference(subst,[],[refute_0_815:[bind(X_25,$fot(t1)),bind(X_26,$fot(not(xor(carry,or(carry,cin))))),bind(X_29,$fot(ll1))]]) ).
cnf(refute_0_15410,plain,
( and(ll1,not(or(not(xor(carry,or(carry,cin))),t1))) != and(ll1,not(or(t1,not(xor(carry,or(carry,cin))))))
| and(ll1,not(or(t1,not(xor(carry,or(carry,cin)))))) != and(not(t1),xor(carry,or(carry,cin)))
| and(ll1,not(or(not(xor(carry,or(carry,cin))),t1))) = and(not(t1),xor(carry,or(carry,cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(xor(carry,or(carry,cin))),t1))))),bind(Y0,$fot(and(ll1,not(or(t1,not(xor(carry,or(carry,cin)))))))),bind(Z0,$fot(and(not(t1),xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_15411,plain,
( and(ll1,not(or(t1,not(xor(carry,or(carry,cin)))))) != and(not(t1),xor(carry,or(carry,cin)))
| and(ll1,not(or(not(xor(carry,or(carry,cin))),t1))) = and(not(t1),xor(carry,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(carry,or(carry,cin))),t1))),and(ll1,not(or(t1,not(xor(carry,or(carry,cin))))))) )],[refute_0_15409,refute_0_15410]) ).
cnf(refute_0_15412,plain,
and(ll1,not(or(not(xor(carry,or(carry,cin))),t1))) = and(not(t1),xor(carry,or(carry,cin))),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t1,not(xor(carry,or(carry,cin)))))),and(not(t1),xor(carry,or(carry,cin)))) )],[refute_0_15408,refute_0_15411]) ).
cnf(refute_0_15413,plain,
( and(ll1,not(or(not(xor(carry,or(carry,cin))),t1))) != and(not(t1),xor(carry,or(carry,cin)))
| and(ll1,not(or(not(xor(carry,or(carry,cin))),t1))) != ll0
| and(not(t1),xor(carry,or(carry,cin))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(ll1,not(or(not(xor(carry,or(carry,cin))),t1))),ll0) ),[0],$fot(and(not(t1),xor(carry,or(carry,cin))))]]) ).
cnf(refute_0_15414,plain,
( and(ll1,not(or(not(xor(carry,or(carry,cin))),t1))) != ll0
| and(not(t1),xor(carry,or(carry,cin))) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(carry,or(carry,cin))),t1))),and(not(t1),xor(carry,or(carry,cin)))) )],[refute_0_15412,refute_0_15413]) ).
cnf(refute_0_15415,plain,
and(not(t1),xor(carry,or(carry,cin))) = ll0,
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(carry,or(carry,cin))),t1))),ll0) )],[refute_0_15403,refute_0_15414]) ).
cnf(refute_0_15416,plain,
( and(not(t1),xor(carry,or(carry,cin))) != ll0
| or(and(t1,not(xor(carry,or(carry,cin)))),and(not(t1),xor(carry,or(carry,cin)))) != xor(t1,xor(carry,or(carry,cin)))
| or(and(t1,not(xor(carry,or(carry,cin)))),ll0) = xor(t1,xor(carry,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t1,not(xor(carry,or(carry,cin)))),and(not(t1),xor(carry,or(carry,cin)))),xor(t1,xor(carry,or(carry,cin)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_15417,plain,
( or(and(t1,not(xor(carry,or(carry,cin)))),and(not(t1),xor(carry,or(carry,cin)))) != xor(t1,xor(carry,or(carry,cin)))
| or(and(t1,not(xor(carry,or(carry,cin)))),ll0) = xor(t1,xor(carry,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(not(t1),xor(carry,or(carry,cin))),ll0) )],[refute_0_15415,refute_0_15416]) ).
cnf(refute_0_15418,plain,
or(and(t1,not(xor(carry,or(carry,cin)))),ll0) = xor(t1,xor(carry,or(carry,cin))),
inference(resolve,[$cnf( $equal(or(and(t1,not(xor(carry,or(carry,cin)))),and(not(t1),xor(carry,or(carry,cin)))),xor(t1,xor(carry,or(carry,cin)))) )],[refute_0_15393,refute_0_15417]) ).
cnf(refute_0_15419,plain,
or(and(t1,not(xor(carry,or(carry,cin)))),ll0) = and(t1,not(xor(carry,or(carry,cin)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t1,not(xor(carry,or(carry,cin))))))]]) ).
cnf(refute_0_15420,plain,
( or(and(t1,not(xor(carry,or(carry,cin)))),ll0) != and(t1,not(xor(carry,or(carry,cin))))
| or(and(t1,not(xor(carry,or(carry,cin)))),ll0) != xor(t1,xor(carry,or(carry,cin)))
| and(t1,not(xor(carry,or(carry,cin)))) = xor(t1,xor(carry,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t1,not(xor(carry,or(carry,cin)))),ll0),xor(t1,xor(carry,or(carry,cin)))) ),[0],$fot(and(t1,not(xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_15421,plain,
( or(and(t1,not(xor(carry,or(carry,cin)))),ll0) != xor(t1,xor(carry,or(carry,cin)))
| and(t1,not(xor(carry,or(carry,cin)))) = xor(t1,xor(carry,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(or(and(t1,not(xor(carry,or(carry,cin)))),ll0),and(t1,not(xor(carry,or(carry,cin))))) )],[refute_0_15419,refute_0_15420]) ).
cnf(refute_0_15422,plain,
xor(carry,xor(t1,Z)) = xor(xor(carry,t1),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(carry)),bind(Y,$fot(t1))]]) ).
cnf(refute_0_15423,plain,
not(and(carry,t1)) = not(and(carry,t1)),
introduced(tautology,[refl,[$fot(not(and(carry,t1)))]]) ).
cnf(refute_0_15424,plain,
( and(carry,t1) != not(t5)
| not(and(carry,t1)) != not(and(carry,t1))
| not(and(carry,t1)) = not(not(t5)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(carry,t1)),not(and(carry,t1))) ),[1,0],$fot(not(t5))]]) ).
cnf(refute_0_15425,plain,
( and(carry,t1) != not(t5)
| not(and(carry,t1)) = not(not(t5)) ),
inference(resolve,[$cnf( $equal(not(and(carry,t1)),not(and(carry,t1))) )],[refute_0_15423,refute_0_15424]) ).
cnf(refute_0_15426,plain,
not(and(carry,t1)) = not(not(t5)),
inference(resolve,[$cnf( $equal(and(carry,t1),not(t5)) )],[refute_0_11697,refute_0_15425]) ).
cnf(refute_0_15427,plain,
( not(and(carry,t1)) != not(not(t5))
| not(not(t5)) != t5
| not(and(carry,t1)) = t5 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(carry,t1)))),bind(Y0,$fot(not(not(t5)))),bind(Z0,$fot(t5))]]) ).
cnf(refute_0_15428,plain,
( not(not(t5)) != t5
| not(and(carry,t1)) = t5 ),
inference(resolve,[$cnf( $equal(not(and(carry,t1)),not(not(t5))) )],[refute_0_15426,refute_0_15427]) ).
cnf(refute_0_15429,plain,
not(and(carry,t1)) = t5,
inference(resolve,[$cnf( $equal(not(not(t5)),t5) )],[refute_0_4051,refute_0_15428]) ).
cnf(refute_0_15430,plain,
( not(and(carry,t1)) != t5
| not(and(carry,t1)) != xor(carry,t1)
| t5 = xor(carry,t1) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(carry,t1)),xor(carry,t1)) ),[0],$fot(t5)]]) ).
cnf(refute_0_15431,plain,
( not(and(carry,t1)) != xor(carry,t1)
| t5 = xor(carry,t1) ),
inference(resolve,[$cnf( $equal(not(and(carry,t1)),t5) )],[refute_0_15429,refute_0_15430]) ).
cnf(refute_0_15432,plain,
t5 = xor(carry,t1),
inference(resolve,[$cnf( $equal(not(and(carry,t1)),xor(carry,t1)) )],[refute_0_11689,refute_0_15431]) ).
cnf(refute_0_15433,plain,
( t5 != xor(carry,t1)
| xor(carry,t1) = t5 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(t5)),bind(Y0,$fot(xor(carry,t1)))]]) ).
cnf(refute_0_15434,plain,
xor(carry,t1) = t5,
inference(resolve,[$cnf( $equal(t5,xor(carry,t1)) )],[refute_0_15432,refute_0_15433]) ).
cnf(refute_0_15435,plain,
( xor(carry,t1) != t5
| xor(carry,xor(t1,Z)) != xor(xor(carry,t1),Z)
| xor(carry,xor(t1,Z)) = xor(t5,Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(t1,Z)),xor(xor(carry,t1),Z)) ),[1,0],$fot(t5)]]) ).
cnf(refute_0_15436,plain,
( xor(carry,xor(t1,Z)) != xor(xor(carry,t1),Z)
| xor(carry,xor(t1,Z)) = xor(t5,Z) ),
inference(resolve,[$cnf( $equal(xor(carry,t1),t5) )],[refute_0_15434,refute_0_15435]) ).
cnf(refute_0_15437,plain,
xor(carry,xor(t1,Z)) = xor(t5,Z),
inference(resolve,[$cnf( $equal(xor(carry,xor(t1,Z)),xor(xor(carry,t1),Z)) )],[refute_0_15422,refute_0_15436]) ).
cnf(refute_0_15438,plain,
xor(carry,xor(t1,or(carry,cin))) = xor(t5,or(carry,cin)),
inference(subst,[],[refute_0_15437:[bind(Z,$fot(or(carry,cin)))]]) ).
cnf(refute_0_15439,plain,
xor(t1,xor(carry,or(carry,cin))) = xor(carry,xor(t1,or(carry,cin))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(carry)),bind(X_334,$fot(t1)),bind(X_335,$fot(or(carry,cin)))]]) ).
cnf(refute_0_15440,plain,
( xor(carry,xor(t1,or(carry,cin))) != xor(t5,or(carry,cin))
| xor(t1,xor(carry,or(carry,cin))) != xor(carry,xor(t1,or(carry,cin)))
| xor(t1,xor(carry,or(carry,cin))) = xor(t5,or(carry,cin)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t1,xor(carry,or(carry,cin))))),bind(Y0,$fot(xor(carry,xor(t1,or(carry,cin))))),bind(Z0,$fot(xor(t5,or(carry,cin))))]]) ).
cnf(refute_0_15441,plain,
( xor(carry,xor(t1,or(carry,cin))) != xor(t5,or(carry,cin))
| xor(t1,xor(carry,or(carry,cin))) = xor(t5,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(xor(t1,xor(carry,or(carry,cin))),xor(carry,xor(t1,or(carry,cin)))) )],[refute_0_15439,refute_0_15440]) ).
cnf(refute_0_15442,plain,
xor(t1,xor(carry,or(carry,cin))) = xor(t5,or(carry,cin)),
inference(resolve,[$cnf( $equal(xor(carry,xor(t1,or(carry,cin))),xor(t5,or(carry,cin))) )],[refute_0_15438,refute_0_15441]) ).
cnf(refute_0_15443,plain,
( and(t1,not(xor(carry,or(carry,cin)))) != xor(t1,xor(carry,or(carry,cin)))
| xor(t1,xor(carry,or(carry,cin))) != xor(t5,or(carry,cin))
| and(t1,not(xor(carry,or(carry,cin)))) = xor(t5,or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t1,not(xor(carry,or(carry,cin)))),xor(t5,or(carry,cin))) ),[0],$fot(xor(t1,xor(carry,or(carry,cin))))]]) ).
cnf(refute_0_15444,plain,
( and(t1,not(xor(carry,or(carry,cin)))) != xor(t1,xor(carry,or(carry,cin)))
| and(t1,not(xor(carry,or(carry,cin)))) = xor(t5,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(xor(t1,xor(carry,or(carry,cin))),xor(t5,or(carry,cin))) )],[refute_0_15442,refute_0_15443]) ).
cnf(refute_0_15445,plain,
( or(and(t1,not(xor(carry,or(carry,cin)))),ll0) != xor(t1,xor(carry,or(carry,cin)))
| and(t1,not(xor(carry,or(carry,cin)))) = xor(t5,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(and(t1,not(xor(carry,or(carry,cin)))),xor(t1,xor(carry,or(carry,cin)))) )],[refute_0_15421,refute_0_15444]) ).
cnf(refute_0_15446,plain,
and(t1,not(xor(carry,or(carry,cin)))) = xor(t5,or(carry,cin)),
inference(resolve,[$cnf( $equal(or(and(t1,not(xor(carry,or(carry,cin)))),ll0),xor(t1,xor(carry,or(carry,cin)))) )],[refute_0_15418,refute_0_15445]) ).
cnf(refute_0_15447,plain,
and(t1,not(xor(carry,or(carry,cin)))) = and(t1,not(xor(carry,or(carry,cin)))),
introduced(tautology,[refl,[$fot(and(t1,not(xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_15448,plain,
( and(t1,not(xor(carry,or(carry,cin)))) != and(t1,not(xor(carry,or(carry,cin))))
| not(xor(carry,or(carry,cin))) != or(a,t7)
| and(t1,not(xor(carry,or(carry,cin)))) = and(t1,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,not(xor(carry,or(carry,cin)))),and(t1,not(xor(carry,or(carry,cin))))) ),[1,1],$fot(or(a,t7))]]) ).
cnf(refute_0_15449,plain,
( not(xor(carry,or(carry,cin))) != or(a,t7)
| and(t1,not(xor(carry,or(carry,cin)))) = and(t1,or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(t1,not(xor(carry,or(carry,cin)))),and(t1,not(xor(carry,or(carry,cin))))) )],[refute_0_15447,refute_0_15448]) ).
cnf(refute_0_15450,plain,
and(t1,not(xor(carry,or(carry,cin)))) = and(t1,or(a,t7)),
inference(resolve,[$cnf( $equal(not(xor(carry,or(carry,cin))),or(a,t7)) )],[refute_0_14609,refute_0_15449]) ).
cnf(refute_0_15451,plain,
( and(t1,not(xor(carry,or(carry,cin)))) != and(t1,or(a,t7))
| and(t1,not(xor(carry,or(carry,cin)))) != xor(t5,or(carry,cin))
| and(t1,or(a,t7)) = xor(t5,or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,not(xor(carry,or(carry,cin)))),xor(t5,or(carry,cin))) ),[0],$fot(and(t1,or(a,t7)))]]) ).
cnf(refute_0_15452,plain,
( and(t1,not(xor(carry,or(carry,cin)))) != xor(t5,or(carry,cin))
| and(t1,or(a,t7)) = xor(t5,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(and(t1,not(xor(carry,or(carry,cin)))),and(t1,or(a,t7))) )],[refute_0_15450,refute_0_15451]) ).
cnf(refute_0_15453,plain,
and(t1,or(a,t7)) = xor(t5,or(carry,cin)),
inference(resolve,[$cnf( $equal(and(t1,not(xor(carry,or(carry,cin)))),xor(t5,or(carry,cin))) )],[refute_0_15446,refute_0_15452]) ).
cnf(refute_0_15454,plain,
( and(t1,or(a,t7)) != xor(t5,or(carry,cin))
| xor(t5,or(carry,cin)) = and(t1,or(a,t7)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t1,or(a,t7)))),bind(Y0,$fot(xor(t5,or(carry,cin))))]]) ).
cnf(refute_0_15455,plain,
xor(t5,or(carry,cin)) = and(t1,or(a,t7)),
inference(resolve,[$cnf( $equal(and(t1,or(a,t7)),xor(t5,or(carry,cin))) )],[refute_0_15453,refute_0_15454]) ).
cnf(refute_0_15456,plain,
( xor(t5,or(carry,cin)) != and(t1,or(a,t7))
| xor(t5,xor(t5,or(carry,cin))) != or(carry,cin)
| xor(t5,and(t1,or(a,t7))) = or(carry,cin) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t5,xor(t5,or(carry,cin))),or(carry,cin)) ),[0,1],$fot(and(t1,or(a,t7)))]]) ).
cnf(refute_0_15457,plain,
( xor(t5,xor(t5,or(carry,cin))) != or(carry,cin)
| xor(t5,and(t1,or(a,t7))) = or(carry,cin) ),
inference(resolve,[$cnf( $equal(xor(t5,or(carry,cin)),and(t1,or(a,t7))) )],[refute_0_15455,refute_0_15456]) ).
cnf(refute_0_15458,plain,
xor(t5,and(t1,or(a,t7))) = or(carry,cin),
inference(resolve,[$cnf( $equal(xor(t5,xor(t5,or(carry,cin))),or(carry,cin)) )],[refute_0_15392,refute_0_15457]) ).
cnf(refute_0_15459,plain,
( xor(cin,xor(t5,and(t1,or(a,t7)))) != xor(t7,and(t1,or(a,t7)))
| xor(t5,and(t1,or(a,t7))) != or(carry,cin)
| xor(cin,or(carry,cin)) = xor(t7,and(t1,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t5,and(t1,or(a,t7)))),xor(t7,and(t1,or(a,t7)))) ),[0,1],$fot(or(carry,cin))]]) ).
cnf(refute_0_15460,plain,
( xor(cin,xor(t5,and(t1,or(a,t7)))) != xor(t7,and(t1,or(a,t7)))
| xor(cin,or(carry,cin)) = xor(t7,and(t1,or(a,t7))) ),
inference(resolve,[$cnf( $equal(xor(t5,and(t1,or(a,t7))),or(carry,cin)) )],[refute_0_15458,refute_0_15459]) ).
cnf(refute_0_15461,plain,
xor(cin,or(carry,cin)) = xor(t7,and(t1,or(a,t7))),
inference(resolve,[$cnf( $equal(xor(cin,xor(t5,and(t1,or(a,t7)))),xor(t7,and(t1,or(a,t7)))) )],[refute_0_15391,refute_0_15460]) ).
cnf(refute_0_15462,plain,
xor(t5,xor(t7,or(carry,cin))) = xor(cin,or(carry,cin)),
inference(subst,[],[refute_0_8910:[bind(Z,$fot(or(carry,cin)))]]) ).
cnf(refute_0_15463,plain,
xor(carry,xor(carry,xor(t7,or(carry,cin)))) = xor(t7,or(carry,cin)),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(carry)),bind(X_335,$fot(xor(t7,or(carry,cin))))]]) ).
cnf(refute_0_15464,plain,
xor(cin,xor(t1,Z)) = xor(xor(cin,t1),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(cin)),bind(Y,$fot(t1))]]) ).
cnf(refute_0_15465,plain,
xor(t1,xor(t5,t7)) = xor(carry,t7),
inference(subst,[],[refute_0_1349:[bind(X_335,$fot(t7))]]) ).
cnf(refute_0_15466,plain,
( xor(t1,xor(t5,t7)) != xor(carry,t7)
| xor(t5,t7) != cin
| xor(t1,cin) = xor(carry,t7) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,xor(t5,t7)),xor(carry,t7)) ),[0,1],$fot(cin)]]) ).
cnf(refute_0_15467,plain,
( xor(t1,xor(t5,t7)) != xor(carry,t7)
| xor(t1,cin) = xor(carry,t7) ),
inference(resolve,[$cnf( $equal(xor(t5,t7),cin) )],[refute_0_4699,refute_0_15466]) ).
cnf(refute_0_15468,plain,
xor(t1,cin) = xor(carry,t7),
inference(resolve,[$cnf( $equal(xor(t1,xor(t5,t7)),xor(carry,t7)) )],[refute_0_15465,refute_0_15467]) ).
cnf(refute_0_15469,plain,
xor(t1,cin) = xor(cin,t1),
inference(subst,[],[refute_0_1913:[bind(X,$fot(cin)),bind(Y,$fot(t1))]]) ).
cnf(refute_0_15470,plain,
( xor(t1,cin) != xor(carry,t7)
| xor(t1,cin) != xor(cin,t1)
| xor(cin,t1) = xor(carry,t7) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,cin),xor(carry,t7)) ),[0],$fot(xor(cin,t1))]]) ).
cnf(refute_0_15471,plain,
( xor(t1,cin) != xor(carry,t7)
| xor(cin,t1) = xor(carry,t7) ),
inference(resolve,[$cnf( $equal(xor(t1,cin),xor(cin,t1)) )],[refute_0_15469,refute_0_15470]) ).
cnf(refute_0_15472,plain,
xor(cin,t1) = xor(carry,t7),
inference(resolve,[$cnf( $equal(xor(t1,cin),xor(carry,t7)) )],[refute_0_15468,refute_0_15471]) ).
cnf(refute_0_15473,plain,
( xor(cin,t1) != xor(carry,t7)
| xor(cin,xor(t1,Z)) != xor(xor(cin,t1),Z)
| xor(cin,xor(t1,Z)) = xor(xor(carry,t7),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t1,Z)),xor(xor(cin,t1),Z)) ),[1,0],$fot(xor(carry,t7))]]) ).
cnf(refute_0_15474,plain,
( xor(cin,xor(t1,Z)) != xor(xor(cin,t1),Z)
| xor(cin,xor(t1,Z)) = xor(xor(carry,t7),Z) ),
inference(resolve,[$cnf( $equal(xor(cin,t1),xor(carry,t7)) )],[refute_0_15472,refute_0_15473]) ).
cnf(refute_0_15475,plain,
xor(cin,xor(t1,Z)) = xor(xor(carry,t7),Z),
inference(resolve,[$cnf( $equal(xor(cin,xor(t1,Z)),xor(xor(cin,t1),Z)) )],[refute_0_15464,refute_0_15474]) ).
cnf(refute_0_15476,plain,
xor(xor(carry,t7),Z) = xor(carry,xor(t7,Z)),
inference(subst,[],[refute_0_526:[bind(X,$fot(carry)),bind(Y,$fot(t7))]]) ).
cnf(refute_0_15477,plain,
( xor(cin,xor(t1,Z)) != xor(xor(carry,t7),Z)
| xor(xor(carry,t7),Z) != xor(carry,xor(t7,Z))
| xor(cin,xor(t1,Z)) = xor(carry,xor(t7,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(cin,xor(t1,Z)),xor(carry,xor(t7,Z))) ),[0],$fot(xor(xor(carry,t7),Z))]]) ).
cnf(refute_0_15478,plain,
( xor(cin,xor(t1,Z)) != xor(xor(carry,t7),Z)
| xor(cin,xor(t1,Z)) = xor(carry,xor(t7,Z)) ),
inference(resolve,[$cnf( $equal(xor(xor(carry,t7),Z),xor(carry,xor(t7,Z))) )],[refute_0_15476,refute_0_15477]) ).
cnf(refute_0_15479,plain,
xor(cin,xor(t1,Z)) = xor(carry,xor(t7,Z)),
inference(resolve,[$cnf( $equal(xor(cin,xor(t1,Z)),xor(xor(carry,t7),Z)) )],[refute_0_15475,refute_0_15478]) ).
cnf(refute_0_15480,plain,
xor(cin,xor(t1,or(carry,cin))) = xor(carry,xor(t7,or(carry,cin))),
inference(subst,[],[refute_0_15479:[bind(Z,$fot(or(carry,cin)))]]) ).
cnf(refute_0_15481,plain,
( xor(cin,xor(t1,or(carry,cin))) != xor(carry,xor(t7,or(carry,cin)))
| xor(t1,or(carry,cin)) != not(and(cin,t1))
| xor(cin,not(and(cin,t1))) = xor(carry,xor(t7,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t1,or(carry,cin))),xor(carry,xor(t7,or(carry,cin)))) ),[0,1],$fot(not(and(cin,t1)))]]) ).
cnf(refute_0_15482,plain,
( xor(cin,xor(t1,or(carry,cin))) != xor(carry,xor(t7,or(carry,cin)))
| xor(cin,not(and(cin,t1))) = xor(carry,xor(t7,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(xor(t1,or(carry,cin)),not(and(cin,t1))) )],[refute_0_14621,refute_0_15481]) ).
cnf(refute_0_15483,plain,
xor(cin,not(and(cin,t1))) = xor(carry,xor(t7,or(carry,cin))),
inference(resolve,[$cnf( $equal(xor(cin,xor(t1,or(carry,cin))),xor(carry,xor(t7,or(carry,cin)))) )],[refute_0_15480,refute_0_15482]) ).
cnf(refute_0_15484,plain,
xor(cin,not(and(cin,t1))) = not(xor(cin,and(cin,t1))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(cin)),bind(X_334,$fot(and(cin,t1)))]]) ).
cnf(refute_0_15485,plain,
( xor(cin,not(and(cin,t1))) != not(xor(cin,and(cin,t1)))
| xor(cin,not(and(cin,t1))) != xor(carry,xor(t7,or(carry,cin)))
| not(xor(cin,and(cin,t1))) = xor(carry,xor(t7,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,not(and(cin,t1))),xor(carry,xor(t7,or(carry,cin)))) ),[0],$fot(not(xor(cin,and(cin,t1))))]]) ).
cnf(refute_0_15486,plain,
( xor(cin,not(and(cin,t1))) != xor(carry,xor(t7,or(carry,cin)))
| not(xor(cin,and(cin,t1))) = xor(carry,xor(t7,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(xor(cin,not(and(cin,t1))),not(xor(cin,and(cin,t1)))) )],[refute_0_15484,refute_0_15485]) ).
cnf(refute_0_15487,plain,
not(xor(cin,and(cin,t1))) = xor(carry,xor(t7,or(carry,cin))),
inference(resolve,[$cnf( $equal(xor(cin,not(and(cin,t1))),xor(carry,xor(t7,or(carry,cin)))) )],[refute_0_15483,refute_0_15486]) ).
cnf(refute_0_15488,plain,
xor(cin,xor(t7,and(carry_def,cin))) = xor(t5,and(carry_def,cin)),
inference(subst,[],[refute_0_11873:[bind(Z,$fot(and(carry_def,cin)))]]) ).
cnf(refute_0_15489,plain,
not(not(xor(t7,and(carry_def,cin)))) = xor(t7,and(carry_def,cin)),
inference(subst,[],[not_involution:[bind(X,$fot(xor(t7,and(carry_def,cin))))]]) ).
cnf(refute_0_15490,plain,
xor(t7,xor(t7,and(cin,t1))) = and(cin,t1),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(t7)),bind(X_335,$fot(and(cin,t1)))]]) ).
cnf(refute_0_15491,plain,
xor(cin,xor(t5,and(cin,t1))) = xor(t7,and(cin,t1)),
inference(subst,[],[refute_0_2486:[bind(X_335,$fot(and(cin,t1)))]]) ).
cnf(refute_0_15492,plain,
( xor(cin,xor(t5,and(cin,t1))) != xor(t7,and(cin,t1))
| xor(t5,and(cin,t1)) != or(a,t7)
| xor(cin,or(a,t7)) = xor(t7,and(cin,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t5,and(cin,t1))),xor(t7,and(cin,t1))) ),[0,1],$fot(or(a,t7))]]) ).
cnf(refute_0_15493,plain,
( xor(cin,xor(t5,and(cin,t1))) != xor(t7,and(cin,t1))
| xor(cin,or(a,t7)) = xor(t7,and(cin,t1)) ),
inference(resolve,[$cnf( $equal(xor(t5,and(cin,t1)),or(a,t7)) )],[refute_0_14709,refute_0_15492]) ).
cnf(refute_0_15494,plain,
xor(cin,or(a,t7)) = xor(t7,and(cin,t1)),
inference(resolve,[$cnf( $equal(xor(cin,xor(t5,and(cin,t1))),xor(t7,and(cin,t1))) )],[refute_0_15491,refute_0_15493]) ).
cnf(refute_0_15495,plain,
( and(t5,or(t1,t7)) != not(and(carry_def,cin))
| and(t5,or(t1,t7)) != xor(cin,or(a,t7))
| not(and(carry_def,cin)) = xor(cin,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,or(t1,t7)),xor(cin,or(a,t7))) ),[0],$fot(not(and(carry_def,cin)))]]) ).
cnf(refute_0_15496,plain,
( and(t5,or(t1,t7)) != xor(cin,or(a,t7))
| not(and(carry_def,cin)) = xor(cin,or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(t5,or(t1,t7)),not(and(carry_def,cin))) )],[refute_0_12313,refute_0_15495]) ).
cnf(refute_0_15497,plain,
not(and(carry_def,cin)) = xor(cin,or(a,t7)),
inference(resolve,[$cnf( $equal(and(t5,or(t1,t7)),xor(cin,or(a,t7))) )],[refute_0_12234,refute_0_15496]) ).
cnf(refute_0_15498,plain,
( not(and(carry_def,cin)) != xor(cin,or(a,t7))
| xor(cin,or(a,t7)) = not(and(carry_def,cin)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(carry_def,cin)))),bind(Y0,$fot(xor(cin,or(a,t7))))]]) ).
cnf(refute_0_15499,plain,
xor(cin,or(a,t7)) = not(and(carry_def,cin)),
inference(resolve,[$cnf( $equal(not(and(carry_def,cin)),xor(cin,or(a,t7))) )],[refute_0_15497,refute_0_15498]) ).
cnf(refute_0_15500,plain,
( xor(cin,or(a,t7)) != not(and(carry_def,cin))
| xor(cin,or(a,t7)) != xor(t7,and(cin,t1))
| not(and(carry_def,cin)) = xor(t7,and(cin,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,or(a,t7)),xor(t7,and(cin,t1))) ),[0],$fot(not(and(carry_def,cin)))]]) ).
cnf(refute_0_15501,plain,
( xor(cin,or(a,t7)) != xor(t7,and(cin,t1))
| not(and(carry_def,cin)) = xor(t7,and(cin,t1)) ),
inference(resolve,[$cnf( $equal(xor(cin,or(a,t7)),not(and(carry_def,cin))) )],[refute_0_15499,refute_0_15500]) ).
cnf(refute_0_15502,plain,
not(and(carry_def,cin)) = xor(t7,and(cin,t1)),
inference(resolve,[$cnf( $equal(xor(cin,or(a,t7)),xor(t7,and(cin,t1))) )],[refute_0_15494,refute_0_15501]) ).
cnf(refute_0_15503,plain,
( not(and(carry_def,cin)) != xor(t7,and(cin,t1))
| xor(t7,and(cin,t1)) = not(and(carry_def,cin)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(carry_def,cin)))),bind(Y0,$fot(xor(t7,and(cin,t1))))]]) ).
cnf(refute_0_15504,plain,
xor(t7,and(cin,t1)) = not(and(carry_def,cin)),
inference(resolve,[$cnf( $equal(not(and(carry_def,cin)),xor(t7,and(cin,t1))) )],[refute_0_15502,refute_0_15503]) ).
cnf(refute_0_15505,plain,
( xor(t7,and(cin,t1)) != not(and(carry_def,cin))
| xor(t7,xor(t7,and(cin,t1))) != and(cin,t1)
| xor(t7,not(and(carry_def,cin))) = and(cin,t1) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t7,xor(t7,and(cin,t1))),and(cin,t1)) ),[0,1],$fot(not(and(carry_def,cin)))]]) ).
cnf(refute_0_15506,plain,
( xor(t7,xor(t7,and(cin,t1))) != and(cin,t1)
| xor(t7,not(and(carry_def,cin))) = and(cin,t1) ),
inference(resolve,[$cnf( $equal(xor(t7,and(cin,t1)),not(and(carry_def,cin))) )],[refute_0_15504,refute_0_15505]) ).
cnf(refute_0_15507,plain,
xor(t7,not(and(carry_def,cin))) = and(cin,t1),
inference(resolve,[$cnf( $equal(xor(t7,xor(t7,and(cin,t1))),and(cin,t1)) )],[refute_0_15490,refute_0_15506]) ).
cnf(refute_0_15508,plain,
xor(t7,not(and(carry_def,cin))) = not(xor(t7,and(carry_def,cin))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t7)),bind(X_334,$fot(and(carry_def,cin)))]]) ).
cnf(refute_0_15509,plain,
( xor(t7,not(and(carry_def,cin))) != and(cin,t1)
| xor(t7,not(and(carry_def,cin))) != not(xor(t7,and(carry_def,cin)))
| not(xor(t7,and(carry_def,cin))) = and(cin,t1) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t7,not(and(carry_def,cin))),and(cin,t1)) ),[0],$fot(not(xor(t7,and(carry_def,cin))))]]) ).
cnf(refute_0_15510,plain,
( xor(t7,not(and(carry_def,cin))) != and(cin,t1)
| not(xor(t7,and(carry_def,cin))) = and(cin,t1) ),
inference(resolve,[$cnf( $equal(xor(t7,not(and(carry_def,cin))),not(xor(t7,and(carry_def,cin)))) )],[refute_0_15508,refute_0_15509]) ).
cnf(refute_0_15511,plain,
not(xor(t7,and(carry_def,cin))) = and(cin,t1),
inference(resolve,[$cnf( $equal(xor(t7,not(and(carry_def,cin))),and(cin,t1)) )],[refute_0_15507,refute_0_15510]) ).
cnf(refute_0_15512,plain,
( not(not(xor(t7,and(carry_def,cin)))) != xor(t7,and(carry_def,cin))
| not(xor(t7,and(carry_def,cin))) != and(cin,t1)
| not(and(cin,t1)) = xor(t7,and(carry_def,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(xor(t7,and(carry_def,cin)))),xor(t7,and(carry_def,cin))) ),[0,0],$fot(and(cin,t1))]]) ).
cnf(refute_0_15513,plain,
( not(not(xor(t7,and(carry_def,cin)))) != xor(t7,and(carry_def,cin))
| not(and(cin,t1)) = xor(t7,and(carry_def,cin)) ),
inference(resolve,[$cnf( $equal(not(xor(t7,and(carry_def,cin))),and(cin,t1)) )],[refute_0_15511,refute_0_15512]) ).
cnf(refute_0_15514,plain,
not(and(cin,t1)) = xor(t7,and(carry_def,cin)),
inference(resolve,[$cnf( $equal(not(not(xor(t7,and(carry_def,cin)))),xor(t7,and(carry_def,cin))) )],[refute_0_15489,refute_0_15513]) ).
cnf(refute_0_15515,plain,
( not(and(cin,t1)) != xor(t7,and(carry_def,cin))
| xor(t7,and(carry_def,cin)) = not(and(cin,t1)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(cin,t1)))),bind(Y0,$fot(xor(t7,and(carry_def,cin))))]]) ).
cnf(refute_0_15516,plain,
xor(t7,and(carry_def,cin)) = not(and(cin,t1)),
inference(resolve,[$cnf( $equal(not(and(cin,t1)),xor(t7,and(carry_def,cin))) )],[refute_0_15514,refute_0_15515]) ).
cnf(refute_0_15517,plain,
( xor(cin,xor(t7,and(carry_def,cin))) != xor(t5,and(carry_def,cin))
| xor(t7,and(carry_def,cin)) != not(and(cin,t1))
| xor(cin,not(and(cin,t1))) = xor(t5,and(carry_def,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t7,and(carry_def,cin))),xor(t5,and(carry_def,cin))) ),[0,1],$fot(not(and(cin,t1)))]]) ).
cnf(refute_0_15518,plain,
( xor(cin,xor(t7,and(carry_def,cin))) != xor(t5,and(carry_def,cin))
| xor(cin,not(and(cin,t1))) = xor(t5,and(carry_def,cin)) ),
inference(resolve,[$cnf( $equal(xor(t7,and(carry_def,cin)),not(and(cin,t1))) )],[refute_0_15516,refute_0_15517]) ).
cnf(refute_0_15519,plain,
xor(cin,not(and(cin,t1))) = xor(t5,and(carry_def,cin)),
inference(resolve,[$cnf( $equal(xor(cin,xor(t7,and(carry_def,cin))),xor(t5,and(carry_def,cin))) )],[refute_0_15488,refute_0_15518]) ).
cnf(refute_0_15520,plain,
( xor(cin,not(and(cin,t1))) != not(xor(cin,and(cin,t1)))
| xor(cin,not(and(cin,t1))) != xor(t5,and(carry_def,cin))
| not(xor(cin,and(cin,t1))) = xor(t5,and(carry_def,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,not(and(cin,t1))),xor(t5,and(carry_def,cin))) ),[0],$fot(not(xor(cin,and(cin,t1))))]]) ).
cnf(refute_0_15521,plain,
( xor(cin,not(and(cin,t1))) != xor(t5,and(carry_def,cin))
| not(xor(cin,and(cin,t1))) = xor(t5,and(carry_def,cin)) ),
inference(resolve,[$cnf( $equal(xor(cin,not(and(cin,t1))),not(xor(cin,and(cin,t1)))) )],[refute_0_15484,refute_0_15520]) ).
cnf(refute_0_15522,plain,
not(xor(cin,and(cin,t1))) = xor(t5,and(carry_def,cin)),
inference(resolve,[$cnf( $equal(xor(cin,not(and(cin,t1))),xor(t5,and(carry_def,cin))) )],[refute_0_15519,refute_0_15521]) ).
cnf(refute_0_15523,plain,
( not(xor(cin,and(cin,t1))) != xor(carry,xor(t7,or(carry,cin)))
| not(xor(cin,and(cin,t1))) != xor(t5,and(carry_def,cin))
| xor(t5,and(carry_def,cin)) = xor(carry,xor(t7,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(cin,and(cin,t1))),xor(carry,xor(t7,or(carry,cin)))) ),[0],$fot(xor(t5,and(carry_def,cin)))]]) ).
cnf(refute_0_15524,plain,
( not(xor(cin,and(cin,t1))) != xor(carry,xor(t7,or(carry,cin)))
| xor(t5,and(carry_def,cin)) = xor(carry,xor(t7,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(not(xor(cin,and(cin,t1))),xor(t5,and(carry_def,cin))) )],[refute_0_15522,refute_0_15523]) ).
cnf(refute_0_15525,plain,
xor(t5,and(carry_def,cin)) = xor(carry,xor(t7,or(carry,cin))),
inference(resolve,[$cnf( $equal(not(xor(cin,and(cin,t1))),xor(carry,xor(t7,or(carry,cin)))) )],[refute_0_15487,refute_0_15524]) ).
cnf(refute_0_15526,plain,
( xor(t5,and(carry_def,cin)) != xor(carry,xor(t7,or(carry,cin)))
| xor(carry,xor(t7,or(carry,cin))) = xor(t5,and(carry_def,cin)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t5,and(carry_def,cin)))),bind(Y0,$fot(xor(carry,xor(t7,or(carry,cin)))))]]) ).
cnf(refute_0_15527,plain,
xor(carry,xor(t7,or(carry,cin))) = xor(t5,and(carry_def,cin)),
inference(resolve,[$cnf( $equal(xor(t5,and(carry_def,cin)),xor(carry,xor(t7,or(carry,cin)))) )],[refute_0_15525,refute_0_15526]) ).
cnf(refute_0_15528,plain,
( xor(carry,xor(carry,xor(t7,or(carry,cin)))) != xor(t7,or(carry,cin))
| xor(carry,xor(t7,or(carry,cin))) != xor(t5,and(carry_def,cin))
| xor(carry,xor(t5,and(carry_def,cin))) = xor(t7,or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(carry,xor(t7,or(carry,cin)))),xor(t7,or(carry,cin))) ),[0,1],$fot(xor(t5,and(carry_def,cin)))]]) ).
cnf(refute_0_15529,plain,
( xor(carry,xor(carry,xor(t7,or(carry,cin)))) != xor(t7,or(carry,cin))
| xor(carry,xor(t5,and(carry_def,cin))) = xor(t7,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(t7,or(carry,cin))),xor(t5,and(carry_def,cin))) )],[refute_0_15527,refute_0_15528]) ).
cnf(refute_0_15530,plain,
xor(carry,xor(t5,and(carry_def,cin))) = xor(t7,or(carry,cin)),
inference(resolve,[$cnf( $equal(xor(carry,xor(carry,xor(t7,or(carry,cin)))),xor(t7,or(carry,cin))) )],[refute_0_15463,refute_0_15529]) ).
cnf(refute_0_15531,plain,
xor(carry,xor(t5,and(carry_def,cin))) = xor(t1,and(carry_def,cin)),
inference(subst,[],[refute_0_8984:[bind(Z,$fot(and(carry_def,cin)))]]) ).
cnf(refute_0_15532,plain,
( xor(carry,xor(t5,and(carry_def,cin))) != xor(t1,and(carry_def,cin))
| xor(carry,xor(t5,and(carry_def,cin))) != xor(t7,or(carry,cin))
| xor(t1,and(carry_def,cin)) = xor(t7,or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(t5,and(carry_def,cin))),xor(t7,or(carry,cin))) ),[0],$fot(xor(t1,and(carry_def,cin)))]]) ).
cnf(refute_0_15533,plain,
( xor(carry,xor(t5,and(carry_def,cin))) != xor(t7,or(carry,cin))
| xor(t1,and(carry_def,cin)) = xor(t7,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(t5,and(carry_def,cin))),xor(t1,and(carry_def,cin))) )],[refute_0_15531,refute_0_15532]) ).
cnf(refute_0_15534,plain,
xor(t1,and(carry_def,cin)) = xor(t7,or(carry,cin)),
inference(resolve,[$cnf( $equal(xor(carry,xor(t5,and(carry_def,cin))),xor(t7,or(carry,cin))) )],[refute_0_15530,refute_0_15533]) ).
cnf(refute_0_15535,plain,
( xor(t1,and(carry_def,cin)) != xor(t7,or(carry,cin))
| xor(t7,or(carry,cin)) = xor(t1,and(carry_def,cin)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t1,and(carry_def,cin)))),bind(Y0,$fot(xor(t7,or(carry,cin))))]]) ).
cnf(refute_0_15536,plain,
xor(t7,or(carry,cin)) = xor(t1,and(carry_def,cin)),
inference(resolve,[$cnf( $equal(xor(t1,and(carry_def,cin)),xor(t7,or(carry,cin))) )],[refute_0_15534,refute_0_15535]) ).
cnf(refute_0_15537,plain,
( xor(t5,xor(t7,or(carry,cin))) != xor(cin,or(carry,cin))
| xor(t7,or(carry,cin)) != xor(t1,and(carry_def,cin))
| xor(t5,xor(t1,and(carry_def,cin))) = xor(cin,or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t5,xor(t7,or(carry,cin))),xor(cin,or(carry,cin))) ),[0,1],$fot(xor(t1,and(carry_def,cin)))]]) ).
cnf(refute_0_15538,plain,
( xor(t5,xor(t7,or(carry,cin))) != xor(cin,or(carry,cin))
| xor(t5,xor(t1,and(carry_def,cin))) = xor(cin,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(xor(t7,or(carry,cin)),xor(t1,and(carry_def,cin))) )],[refute_0_15536,refute_0_15537]) ).
cnf(refute_0_15539,plain,
xor(t5,xor(t1,and(carry_def,cin))) = xor(cin,or(carry,cin)),
inference(resolve,[$cnf( $equal(xor(t5,xor(t7,or(carry,cin))),xor(cin,or(carry,cin))) )],[refute_0_15462,refute_0_15538]) ).
cnf(refute_0_15540,plain,
xor(t1,xor(t5,X_337)) = xor(carry,X_337),
inference(subst,[],[refute_0_1349:[bind(X_335,$fot(X_337))]]) ).
cnf(refute_0_15541,plain,
xor(X_337,t5) = xor(t5,X_337),
inference(subst,[],[xor_commutative:[bind(X,$fot(X_337)),bind(Y,$fot(t5))]]) ).
cnf(refute_0_15542,plain,
( xor(X_337,t5) != xor(t5,X_337)
| xor(t5,X_337) = xor(X_337,t5) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X_337,t5))),bind(Y0,$fot(xor(t5,X_337)))]]) ).
cnf(refute_0_15543,plain,
xor(t5,X_337) = xor(X_337,t5),
inference(resolve,[$cnf( $equal(xor(X_337,t5),xor(t5,X_337)) )],[refute_0_15541,refute_0_15542]) ).
cnf(refute_0_15544,plain,
( xor(t1,xor(t5,X_337)) != xor(carry,X_337)
| xor(t5,X_337) != xor(X_337,t5)
| xor(t1,xor(X_337,t5)) = xor(carry,X_337) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,xor(t5,X_337)),xor(carry,X_337)) ),[0,1],$fot(xor(X_337,t5))]]) ).
cnf(refute_0_15545,plain,
( xor(t1,xor(t5,X_337)) != xor(carry,X_337)
| xor(t1,xor(X_337,t5)) = xor(carry,X_337) ),
inference(resolve,[$cnf( $equal(xor(t5,X_337),xor(X_337,t5)) )],[refute_0_15543,refute_0_15544]) ).
cnf(refute_0_15546,plain,
xor(t1,xor(X_337,t5)) = xor(carry,X_337),
inference(resolve,[$cnf( $equal(xor(t1,xor(t5,X_337)),xor(carry,X_337)) )],[refute_0_15540,refute_0_15545]) ).
cnf(refute_0_15547,plain,
xor(t1,xor(and(carry_def,cin),t5)) = xor(carry,and(carry_def,cin)),
inference(subst,[],[refute_0_15546:[bind(X_337,$fot(and(carry_def,cin)))]]) ).
cnf(refute_0_15548,plain,
xor(X,xor(t7,or(carry,cin))) = xor(xor(X,t7),or(carry,cin)),
inference(subst,[],[xor_associative:[bind(Y,$fot(t7)),bind(Z,$fot(or(carry,cin)))]]) ).
cnf(refute_0_15549,plain,
( xor(X,xor(t7,or(carry,cin))) != xor(xor(X,t7),or(carry,cin))
| xor(t7,or(carry,cin)) != xor(t1,and(carry_def,cin))
| xor(X,xor(t1,and(carry_def,cin))) = xor(xor(X,t7),or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,xor(t7,or(carry,cin))),xor(xor(X,t7),or(carry,cin))) ),[0,1],$fot(xor(t1,and(carry_def,cin)))]]) ).
cnf(refute_0_15550,plain,
( xor(X,xor(t7,or(carry,cin))) != xor(xor(X,t7),or(carry,cin))
| xor(X,xor(t1,and(carry_def,cin))) = xor(xor(X,t7),or(carry,cin)) ),
inference(resolve,[$cnf( $equal(xor(t7,or(carry,cin)),xor(t1,and(carry_def,cin))) )],[refute_0_15536,refute_0_15549]) ).
cnf(refute_0_15551,plain,
xor(X,xor(t1,and(carry_def,cin))) = xor(xor(X,t7),or(carry,cin)),
inference(resolve,[$cnf( $equal(xor(X,xor(t7,or(carry,cin))),xor(xor(X,t7),or(carry,cin))) )],[refute_0_15548,refute_0_15550]) ).
cnf(refute_0_15552,plain,
xor(t7,xor(or(carry,cin),Z)) = xor(xor(t7,or(carry,cin)),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(t7)),bind(Y,$fot(or(carry,cin)))]]) ).
cnf(refute_0_15553,plain,
( xor(t7,or(carry,cin)) != xor(t1,and(carry_def,cin))
| xor(t7,xor(or(carry,cin),Z)) != xor(xor(t7,or(carry,cin)),Z)
| xor(t7,xor(or(carry,cin),Z)) = xor(xor(t1,and(carry_def,cin)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t7,xor(or(carry,cin),Z)),xor(xor(t7,or(carry,cin)),Z)) ),[1,0],$fot(xor(t1,and(carry_def,cin)))]]) ).
cnf(refute_0_15554,plain,
( xor(t7,xor(or(carry,cin),Z)) != xor(xor(t7,or(carry,cin)),Z)
| xor(t7,xor(or(carry,cin),Z)) = xor(xor(t1,and(carry_def,cin)),Z) ),
inference(resolve,[$cnf( $equal(xor(t7,or(carry,cin)),xor(t1,and(carry_def,cin))) )],[refute_0_15536,refute_0_15553]) ).
cnf(refute_0_15555,plain,
xor(t7,xor(or(carry,cin),Z)) = xor(xor(t1,and(carry_def,cin)),Z),
inference(resolve,[$cnf( $equal(xor(t7,xor(or(carry,cin),Z)),xor(xor(t7,or(carry,cin)),Z)) )],[refute_0_15552,refute_0_15554]) ).
cnf(refute_0_15556,plain,
xor(xor(t1,and(carry_def,cin)),Z) = xor(t1,xor(and(carry_def,cin),Z)),
inference(subst,[],[refute_0_526:[bind(X,$fot(t1)),bind(Y,$fot(and(carry_def,cin)))]]) ).
cnf(refute_0_15557,plain,
( xor(t7,xor(or(carry,cin),Z)) != xor(xor(t1,and(carry_def,cin)),Z)
| xor(xor(t1,and(carry_def,cin)),Z) != xor(t1,xor(and(carry_def,cin),Z))
| xor(t7,xor(or(carry,cin),Z)) = xor(t1,xor(and(carry_def,cin),Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(t7,xor(or(carry,cin),Z)),xor(t1,xor(and(carry_def,cin),Z))) ),[0],$fot(xor(xor(t1,and(carry_def,cin)),Z))]]) ).
cnf(refute_0_15558,plain,
( xor(t7,xor(or(carry,cin),Z)) != xor(xor(t1,and(carry_def,cin)),Z)
| xor(t7,xor(or(carry,cin),Z)) = xor(t1,xor(and(carry_def,cin),Z)) ),
inference(resolve,[$cnf( $equal(xor(xor(t1,and(carry_def,cin)),Z),xor(t1,xor(and(carry_def,cin),Z))) )],[refute_0_15556,refute_0_15557]) ).
cnf(refute_0_15559,plain,
xor(t7,xor(or(carry,cin),Z)) = xor(t1,xor(and(carry_def,cin),Z)),
inference(resolve,[$cnf( $equal(xor(t7,xor(or(carry,cin),Z)),xor(xor(t1,and(carry_def,cin)),Z)) )],[refute_0_15555,refute_0_15558]) ).
cnf(refute_0_15560,plain,
xor(t7,xor(or(carry,cin),X)) = xor(t1,xor(and(carry_def,cin),X)),
inference(subst,[],[refute_0_15559:[bind(Z,$fot(X))]]) ).
cnf(refute_0_15561,plain,
xor(or(carry,cin),xor(X,t7)) = xor(t7,xor(or(carry,cin),X)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(t7)),bind(X_333,$fot(or(carry,cin))),bind(X_334,$fot(X))]]) ).
cnf(refute_0_15562,plain,
( xor(or(carry,cin),xor(X,t7)) != xor(t7,xor(or(carry,cin),X))
| xor(t7,xor(or(carry,cin),X)) != xor(t1,xor(and(carry_def,cin),X))
| xor(or(carry,cin),xor(X,t7)) = xor(t1,xor(and(carry_def,cin),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(or(carry,cin),xor(X,t7)))),bind(Y0,$fot(xor(t7,xor(or(carry,cin),X)))),bind(Z0,$fot(xor(t1,xor(and(carry_def,cin),X))))]]) ).
cnf(refute_0_15563,plain,
( xor(t7,xor(or(carry,cin),X)) != xor(t1,xor(and(carry_def,cin),X))
| xor(or(carry,cin),xor(X,t7)) = xor(t1,xor(and(carry_def,cin),X)) ),
inference(resolve,[$cnf( $equal(xor(or(carry,cin),xor(X,t7)),xor(t7,xor(or(carry,cin),X))) )],[refute_0_15561,refute_0_15562]) ).
cnf(refute_0_15564,plain,
xor(or(carry,cin),xor(X,t7)) = xor(t1,xor(and(carry_def,cin),X)),
inference(resolve,[$cnf( $equal(xor(t7,xor(or(carry,cin),X)),xor(t1,xor(and(carry_def,cin),X))) )],[refute_0_15560,refute_0_15563]) ).
cnf(refute_0_15565,plain,
xor(and(sum,t1),xor(or(a,b),Z)) = xor(xor(and(sum,t1),or(a,b)),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(and(sum,t1))),bind(Y,$fot(or(a,b)))]]) ).
cnf(refute_0_15566,plain,
( xor(and(sum,t1),or(a,b)) != or(carry,cin)
| xor(and(sum,t1),xor(or(a,b),Z)) != xor(xor(and(sum,t1),or(a,b)),Z)
| xor(and(sum,t1),xor(or(a,b),Z)) = xor(or(carry,cin),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(and(sum,t1),xor(or(a,b),Z)),xor(xor(and(sum,t1),or(a,b)),Z)) ),[1,0],$fot(or(carry,cin))]]) ).
cnf(refute_0_15567,plain,
( xor(and(sum,t1),xor(or(a,b),Z)) != xor(xor(and(sum,t1),or(a,b)),Z)
| xor(and(sum,t1),xor(or(a,b),Z)) = xor(or(carry,cin),Z) ),
inference(resolve,[$cnf( $equal(xor(and(sum,t1),or(a,b)),or(carry,cin)) )],[refute_0_14724,refute_0_15566]) ).
cnf(refute_0_15568,plain,
xor(and(sum,t1),xor(or(a,b),Z)) = xor(or(carry,cin),Z),
inference(resolve,[$cnf( $equal(xor(and(sum,t1),xor(or(a,b),Z)),xor(xor(and(sum,t1),or(a,b)),Z)) )],[refute_0_15565,refute_0_15567]) ).
cnf(refute_0_15569,plain,
( xor(and(sum,t1),or(a,b)) != not(xor(carry,or(a,t7)))
| xor(and(sum,t1),xor(or(a,b),Z)) != xor(xor(and(sum,t1),or(a,b)),Z)
| xor(and(sum,t1),xor(or(a,b),Z)) = xor(not(xor(carry,or(a,t7))),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(and(sum,t1),xor(or(a,b),Z)),xor(xor(and(sum,t1),or(a,b)),Z)) ),[1,0],$fot(not(xor(carry,or(a,t7))))]]) ).
cnf(refute_0_15570,plain,
( xor(and(sum,t1),xor(or(a,b),Z)) != xor(xor(and(sum,t1),or(a,b)),Z)
| xor(and(sum,t1),xor(or(a,b),Z)) = xor(not(xor(carry,or(a,t7))),Z) ),
inference(resolve,[$cnf( $equal(xor(and(sum,t1),or(a,b)),not(xor(carry,or(a,t7)))) )],[refute_0_11651,refute_0_15569]) ).
cnf(refute_0_15571,plain,
xor(and(sum,t1),xor(or(a,b),Z)) = xor(not(xor(carry,or(a,t7))),Z),
inference(resolve,[$cnf( $equal(xor(and(sum,t1),xor(or(a,b),Z)),xor(xor(and(sum,t1),or(a,b)),Z)) )],[refute_0_15565,refute_0_15570]) ).
cnf(refute_0_15572,plain,
xor(xor(carry,or(a,t7)),Z) = xor(carry,xor(or(a,t7),Z)),
inference(subst,[],[refute_0_526:[bind(X,$fot(carry)),bind(Y,$fot(or(a,t7)))]]) ).
cnf(refute_0_15573,plain,
not(xor(xor(carry,or(a,t7)),Z)) = not(xor(xor(carry,or(a,t7)),Z)),
introduced(tautology,[refl,[$fot(not(xor(xor(carry,or(a,t7)),Z)))]]) ).
cnf(refute_0_15574,plain,
( not(xor(xor(carry,or(a,t7)),Z)) != not(xor(xor(carry,or(a,t7)),Z))
| xor(xor(carry,or(a,t7)),Z) != xor(carry,xor(or(a,t7),Z))
| not(xor(xor(carry,or(a,t7)),Z)) = not(xor(carry,xor(or(a,t7),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(xor(carry,or(a,t7)),Z)),not(xor(xor(carry,or(a,t7)),Z))) ),[1,0],$fot(xor(carry,xor(or(a,t7),Z)))]]) ).
cnf(refute_0_15575,plain,
( xor(xor(carry,or(a,t7)),Z) != xor(carry,xor(or(a,t7),Z))
| not(xor(xor(carry,or(a,t7)),Z)) = not(xor(carry,xor(or(a,t7),Z))) ),
inference(resolve,[$cnf( $equal(not(xor(xor(carry,or(a,t7)),Z)),not(xor(xor(carry,or(a,t7)),Z))) )],[refute_0_15573,refute_0_15574]) ).
cnf(refute_0_15576,plain,
not(xor(xor(carry,or(a,t7)),Z)) = not(xor(carry,xor(or(a,t7),Z))),
inference(resolve,[$cnf( $equal(xor(xor(carry,or(a,t7)),Z),xor(carry,xor(or(a,t7),Z))) )],[refute_0_15572,refute_0_15575]) ).
cnf(refute_0_15577,plain,
xor(not(xor(carry,or(a,t7))),Z) = not(xor(xor(carry,or(a,t7)),Z)),
inference(subst,[],[refute_0_2075:[bind(Y,$fot(Z)),bind(X_63,$fot(xor(carry,or(a,t7))))]]) ).
cnf(refute_0_15578,plain,
( not(xor(xor(carry,or(a,t7)),Z)) != not(xor(carry,xor(or(a,t7),Z)))
| xor(not(xor(carry,or(a,t7))),Z) != not(xor(xor(carry,or(a,t7)),Z))
| xor(not(xor(carry,or(a,t7))),Z) = not(xor(carry,xor(or(a,t7),Z))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(not(xor(carry,or(a,t7))),Z))),bind(Y0,$fot(not(xor(xor(carry,or(a,t7)),Z)))),bind(Z0,$fot(not(xor(carry,xor(or(a,t7),Z)))))]]) ).
cnf(refute_0_15579,plain,
( not(xor(xor(carry,or(a,t7)),Z)) != not(xor(carry,xor(or(a,t7),Z)))
| xor(not(xor(carry,or(a,t7))),Z) = not(xor(carry,xor(or(a,t7),Z))) ),
inference(resolve,[$cnf( $equal(xor(not(xor(carry,or(a,t7))),Z),not(xor(xor(carry,or(a,t7)),Z))) )],[refute_0_15577,refute_0_15578]) ).
cnf(refute_0_15580,plain,
xor(not(xor(carry,or(a,t7))),Z) = not(xor(carry,xor(or(a,t7),Z))),
inference(resolve,[$cnf( $equal(not(xor(xor(carry,or(a,t7)),Z)),not(xor(carry,xor(or(a,t7),Z)))) )],[refute_0_15576,refute_0_15579]) ).
cnf(refute_0_15581,plain,
( xor(and(sum,t1),xor(or(a,b),Z)) != xor(not(xor(carry,or(a,t7))),Z)
| xor(not(xor(carry,or(a,t7))),Z) != not(xor(carry,xor(or(a,t7),Z)))
| xor(and(sum,t1),xor(or(a,b),Z)) = not(xor(carry,xor(or(a,t7),Z))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(and(sum,t1),xor(or(a,b),Z)),not(xor(carry,xor(or(a,t7),Z)))) ),[0],$fot(xor(not(xor(carry,or(a,t7))),Z))]]) ).
cnf(refute_0_15582,plain,
( xor(and(sum,t1),xor(or(a,b),Z)) != xor(not(xor(carry,or(a,t7))),Z)
| xor(and(sum,t1),xor(or(a,b),Z)) = not(xor(carry,xor(or(a,t7),Z))) ),
inference(resolve,[$cnf( $equal(xor(not(xor(carry,or(a,t7))),Z),not(xor(carry,xor(or(a,t7),Z)))) )],[refute_0_15580,refute_0_15581]) ).
cnf(refute_0_15583,plain,
xor(and(sum,t1),xor(or(a,b),Z)) = not(xor(carry,xor(or(a,t7),Z))),
inference(resolve,[$cnf( $equal(xor(and(sum,t1),xor(or(a,b),Z)),xor(not(xor(carry,or(a,t7))),Z)) )],[refute_0_15571,refute_0_15582]) ).
cnf(refute_0_15584,plain,
( xor(and(sum,t1),xor(or(a,b),Z)) != not(xor(carry,xor(or(a,t7),Z)))
| xor(and(sum,t1),xor(or(a,b),Z)) != xor(or(carry,cin),Z)
| not(xor(carry,xor(or(a,t7),Z))) = xor(or(carry,cin),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(and(sum,t1),xor(or(a,b),Z)),xor(or(carry,cin),Z)) ),[0],$fot(not(xor(carry,xor(or(a,t7),Z))))]]) ).
cnf(refute_0_15585,plain,
( xor(and(sum,t1),xor(or(a,b),Z)) != xor(or(carry,cin),Z)
| not(xor(carry,xor(or(a,t7),Z))) = xor(or(carry,cin),Z) ),
inference(resolve,[$cnf( $equal(xor(and(sum,t1),xor(or(a,b),Z)),not(xor(carry,xor(or(a,t7),Z)))) )],[refute_0_15583,refute_0_15584]) ).
cnf(refute_0_15586,plain,
not(xor(carry,xor(or(a,t7),Z))) = xor(or(carry,cin),Z),
inference(resolve,[$cnf( $equal(xor(and(sum,t1),xor(or(a,b),Z)),xor(or(carry,cin),Z)) )],[refute_0_15568,refute_0_15585]) ).
cnf(refute_0_15587,plain,
not(not(xor(Z,or(carry,cin)))) = xor(Z,or(carry,cin)),
inference(subst,[],[not_involution:[bind(X,$fot(xor(Z,or(carry,cin))))]]) ).
cnf(refute_0_15588,plain,
xor(X,xor(a,xor(t3,and(sum,t1)))) = xor(xor(X,a),xor(t3,and(sum,t1))),
inference(subst,[],[xor_associative:[bind(Y,$fot(a)),bind(Z,$fot(xor(t3,and(sum,t1))))]]) ).
cnf(refute_0_15589,plain,
( xor(X,xor(a,xor(t3,and(sum,t1)))) != xor(xor(X,a),xor(t3,and(sum,t1)))
| xor(a,xor(t3,and(sum,t1))) != xor(carry,or(a,t7))
| xor(X,xor(carry,or(a,t7))) = xor(xor(X,a),xor(t3,and(sum,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,xor(a,xor(t3,and(sum,t1)))),xor(xor(X,a),xor(t3,and(sum,t1)))) ),[0,1],$fot(xor(carry,or(a,t7)))]]) ).
cnf(refute_0_15590,plain,
( xor(X,xor(a,xor(t3,and(sum,t1)))) != xor(xor(X,a),xor(t3,and(sum,t1)))
| xor(X,xor(carry,or(a,t7))) = xor(xor(X,a),xor(t3,and(sum,t1))) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,and(sum,t1))),xor(carry,or(a,t7))) )],[refute_0_14748,refute_0_15589]) ).
cnf(refute_0_15591,plain,
xor(X,xor(carry,or(a,t7))) = xor(xor(X,a),xor(t3,and(sum,t1))),
inference(resolve,[$cnf( $equal(xor(X,xor(a,xor(t3,and(sum,t1)))),xor(xor(X,a),xor(t3,and(sum,t1)))) )],[refute_0_15588,refute_0_15590]) ).
cnf(refute_0_15592,plain,
xor(a,xor(xor(t3,and(sum,t1)),Z)) = xor(xor(a,xor(t3,and(sum,t1))),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(a)),bind(Y,$fot(xor(t3,and(sum,t1))))]]) ).
cnf(refute_0_15593,plain,
( xor(a,xor(t3,and(sum,t1))) != xor(carry,or(a,t7))
| xor(a,xor(xor(t3,and(sum,t1)),Z)) != xor(xor(a,xor(t3,and(sum,t1))),Z)
| xor(a,xor(xor(t3,and(sum,t1)),Z)) = xor(xor(carry,or(a,t7)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(xor(t3,and(sum,t1)),Z)),xor(xor(a,xor(t3,and(sum,t1))),Z)) ),[1,0],$fot(xor(carry,or(a,t7)))]]) ).
cnf(refute_0_15594,plain,
( xor(a,xor(xor(t3,and(sum,t1)),Z)) != xor(xor(a,xor(t3,and(sum,t1))),Z)
| xor(a,xor(xor(t3,and(sum,t1)),Z)) = xor(xor(carry,or(a,t7)),Z) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,and(sum,t1))),xor(carry,or(a,t7))) )],[refute_0_14748,refute_0_15593]) ).
cnf(refute_0_15595,plain,
xor(a,xor(xor(t3,and(sum,t1)),Z)) = xor(xor(carry,or(a,t7)),Z),
inference(resolve,[$cnf( $equal(xor(a,xor(xor(t3,and(sum,t1)),Z)),xor(xor(a,xor(t3,and(sum,t1))),Z)) )],[refute_0_15592,refute_0_15594]) ).
cnf(refute_0_15596,plain,
xor(xor(t3,and(sum,t1)),Z) = xor(t3,xor(and(sum,t1),Z)),
inference(subst,[],[refute_0_526:[bind(X,$fot(t3)),bind(Y,$fot(and(sum,t1)))]]) ).
cnf(refute_0_15597,plain,
xor(a,xor(xor(t3,and(sum,t1)),Z)) = xor(a,xor(xor(t3,and(sum,t1)),Z)),
introduced(tautology,[refl,[$fot(xor(a,xor(xor(t3,and(sum,t1)),Z)))]]) ).
cnf(refute_0_15598,plain,
( xor(a,xor(xor(t3,and(sum,t1)),Z)) != xor(a,xor(xor(t3,and(sum,t1)),Z))
| xor(xor(t3,and(sum,t1)),Z) != xor(t3,xor(and(sum,t1),Z))
| xor(a,xor(xor(t3,and(sum,t1)),Z)) = xor(a,xor(t3,xor(and(sum,t1),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(xor(t3,and(sum,t1)),Z)),xor(a,xor(xor(t3,and(sum,t1)),Z))) ),[1,1],$fot(xor(t3,xor(and(sum,t1),Z)))]]) ).
cnf(refute_0_15599,plain,
( xor(xor(t3,and(sum,t1)),Z) != xor(t3,xor(and(sum,t1),Z))
| xor(a,xor(xor(t3,and(sum,t1)),Z)) = xor(a,xor(t3,xor(and(sum,t1),Z))) ),
inference(resolve,[$cnf( $equal(xor(a,xor(xor(t3,and(sum,t1)),Z)),xor(a,xor(xor(t3,and(sum,t1)),Z))) )],[refute_0_15597,refute_0_15598]) ).
cnf(refute_0_15600,plain,
xor(a,xor(xor(t3,and(sum,t1)),Z)) = xor(a,xor(t3,xor(and(sum,t1),Z))),
inference(resolve,[$cnf( $equal(xor(xor(t3,and(sum,t1)),Z),xor(t3,xor(and(sum,t1),Z))) )],[refute_0_15596,refute_0_15599]) ).
cnf(refute_0_15601,plain,
( xor(a,xor(xor(t3,and(sum,t1)),Z)) != xor(a,xor(t3,xor(and(sum,t1),Z)))
| xor(a,xor(xor(t3,and(sum,t1)),Z)) != xor(xor(carry,or(a,t7)),Z)
| xor(a,xor(t3,xor(and(sum,t1),Z))) = xor(xor(carry,or(a,t7)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(xor(t3,and(sum,t1)),Z)),xor(xor(carry,or(a,t7)),Z)) ),[0],$fot(xor(a,xor(t3,xor(and(sum,t1),Z))))]]) ).
cnf(refute_0_15602,plain,
( xor(a,xor(xor(t3,and(sum,t1)),Z)) != xor(xor(carry,or(a,t7)),Z)
| xor(a,xor(t3,xor(and(sum,t1),Z))) = xor(xor(carry,or(a,t7)),Z) ),
inference(resolve,[$cnf( $equal(xor(a,xor(xor(t3,and(sum,t1)),Z)),xor(a,xor(t3,xor(and(sum,t1),Z)))) )],[refute_0_15600,refute_0_15601]) ).
cnf(refute_0_15603,plain,
( xor(a,xor(t3,xor(and(sum,t1),Z))) != xor(xor(carry,or(a,t7)),Z)
| xor(xor(carry,or(a,t7)),Z) != xor(carry,xor(or(a,t7),Z))
| xor(a,xor(t3,xor(and(sum,t1),Z))) = xor(carry,xor(or(a,t7),Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(a,xor(t3,xor(and(sum,t1),Z))),xor(carry,xor(or(a,t7),Z))) ),[0],$fot(xor(xor(carry,or(a,t7)),Z))]]) ).
cnf(refute_0_15604,plain,
( xor(a,xor(t3,xor(and(sum,t1),Z))) != xor(xor(carry,or(a,t7)),Z)
| xor(a,xor(t3,xor(and(sum,t1),Z))) = xor(carry,xor(or(a,t7),Z)) ),
inference(resolve,[$cnf( $equal(xor(xor(carry,or(a,t7)),Z),xor(carry,xor(or(a,t7),Z))) )],[refute_0_15572,refute_0_15603]) ).
cnf(refute_0_15605,plain,
( xor(a,xor(xor(t3,and(sum,t1)),Z)) != xor(xor(carry,or(a,t7)),Z)
| xor(a,xor(t3,xor(and(sum,t1),Z))) = xor(carry,xor(or(a,t7),Z)) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,xor(and(sum,t1),Z))),xor(xor(carry,or(a,t7)),Z)) )],[refute_0_15602,refute_0_15604]) ).
cnf(refute_0_15606,plain,
xor(a,xor(t3,xor(and(sum,t1),Z))) = xor(carry,xor(or(a,t7),Z)),
inference(resolve,[$cnf( $equal(xor(a,xor(xor(t3,and(sum,t1)),Z)),xor(xor(carry,or(a,t7)),Z)) )],[refute_0_15595,refute_0_15605]) ).
cnf(refute_0_15607,plain,
xor(a,xor(t3,xor(and(sum,t1),X))) = xor(carry,xor(or(a,t7),X)),
inference(subst,[],[refute_0_15606:[bind(Z,$fot(X))]]) ).
cnf(refute_0_15608,plain,
xor(t3,xor(a,xor(and(sum,t1),X))) = xor(a,xor(t3,xor(and(sum,t1),X))),
inference(subst,[],[refute_0_14837:[bind(Z,$fot(xor(and(sum,t1),X))),bind(X_357,$fot(t3))]]) ).
cnf(refute_0_15609,plain,
( xor(a,xor(t3,xor(and(sum,t1),X))) != xor(carry,xor(or(a,t7),X))
| xor(t3,xor(a,xor(and(sum,t1),X))) != xor(a,xor(t3,xor(and(sum,t1),X)))
| xor(t3,xor(a,xor(and(sum,t1),X))) = xor(carry,xor(or(a,t7),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t3,xor(a,xor(and(sum,t1),X))))),bind(Y0,$fot(xor(a,xor(t3,xor(and(sum,t1),X))))),bind(Z0,$fot(xor(carry,xor(or(a,t7),X))))]]) ).
cnf(refute_0_15610,plain,
( xor(a,xor(t3,xor(and(sum,t1),X))) != xor(carry,xor(or(a,t7),X))
| xor(t3,xor(a,xor(and(sum,t1),X))) = xor(carry,xor(or(a,t7),X)) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(a,xor(and(sum,t1),X))),xor(a,xor(t3,xor(and(sum,t1),X)))) )],[refute_0_15608,refute_0_15609]) ).
cnf(refute_0_15611,plain,
xor(t3,xor(a,xor(and(sum,t1),X))) = xor(carry,xor(or(a,t7),X)),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,xor(and(sum,t1),X))),xor(carry,xor(or(a,t7),X))) )],[refute_0_15607,refute_0_15610]) ).
cnf(refute_0_15612,plain,
xor(xor(X,Y),a) = xor(a,xor(t3,xor(xor(X,Y),t3))),
inference(subst,[],[refute_0_13570:[bind(X_333,$fot(xor(X,Y)))]]) ).
cnf(refute_0_15613,plain,
xor(X,xor(Y,t3)) = xor(xor(X,Y),t3),
inference(subst,[],[xor_associative:[bind(Z,$fot(t3))]]) ).
cnf(refute_0_15614,plain,
( xor(X,xor(Y,t3)) != xor(xor(X,Y),t3)
| xor(xor(X,Y),t3) = xor(X,xor(Y,t3)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X,xor(Y,t3)))),bind(Y0,$fot(xor(xor(X,Y),t3)))]]) ).
cnf(refute_0_15615,plain,
xor(xor(X,Y),t3) = xor(X,xor(Y,t3)),
inference(resolve,[$cnf( $equal(xor(X,xor(Y,t3)),xor(xor(X,Y),t3)) )],[refute_0_15613,refute_0_15614]) ).
cnf(refute_0_15616,plain,
( xor(xor(X,Y),a) != xor(a,xor(t3,xor(xor(X,Y),t3)))
| xor(xor(X,Y),t3) != xor(X,xor(Y,t3))
| xor(xor(X,Y),a) = xor(a,xor(t3,xor(X,xor(Y,t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(xor(X,Y),a),xor(a,xor(t3,xor(xor(X,Y),t3)))) ),[1,1,1],$fot(xor(X,xor(Y,t3)))]]) ).
cnf(refute_0_15617,plain,
( xor(xor(X,Y),a) != xor(a,xor(t3,xor(xor(X,Y),t3)))
| xor(xor(X,Y),a) = xor(a,xor(t3,xor(X,xor(Y,t3)))) ),
inference(resolve,[$cnf( $equal(xor(xor(X,Y),t3),xor(X,xor(Y,t3))) )],[refute_0_15615,refute_0_15616]) ).
cnf(refute_0_15618,plain,
xor(xor(X,Y),a) = xor(a,xor(t3,xor(X,xor(Y,t3)))),
inference(resolve,[$cnf( $equal(xor(xor(X,Y),a),xor(a,xor(t3,xor(xor(X,Y),t3)))) )],[refute_0_15612,refute_0_15617]) ).
cnf(refute_0_15619,plain,
xor(xor(X,Y),a) = xor(X,xor(Y,a)),
inference(subst,[],[refute_0_526:[bind(Z,$fot(a))]]) ).
cnf(refute_0_15620,plain,
( xor(xor(X,Y),a) != xor(X,xor(Y,a))
| xor(xor(X,Y),a) != xor(a,xor(t3,xor(X,xor(Y,t3))))
| xor(X,xor(Y,a)) = xor(a,xor(t3,xor(X,xor(Y,t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(xor(X,Y),a),xor(a,xor(t3,xor(X,xor(Y,t3))))) ),[0],$fot(xor(X,xor(Y,a)))]]) ).
cnf(refute_0_15621,plain,
( xor(xor(X,Y),a) != xor(a,xor(t3,xor(X,xor(Y,t3))))
| xor(X,xor(Y,a)) = xor(a,xor(t3,xor(X,xor(Y,t3)))) ),
inference(resolve,[$cnf( $equal(xor(xor(X,Y),a),xor(X,xor(Y,a))) )],[refute_0_15619,refute_0_15620]) ).
cnf(refute_0_15622,plain,
xor(X,xor(Y,a)) = xor(a,xor(t3,xor(X,xor(Y,t3)))),
inference(resolve,[$cnf( $equal(xor(xor(X,Y),a),xor(a,xor(t3,xor(X,xor(Y,t3))))) )],[refute_0_15618,refute_0_15621]) ).
cnf(refute_0_15623,plain,
xor(X,Y) = xor(t3,xor(xor(X,Y),t3)),
inference(subst,[],[refute_0_9721:[bind(X_453,$fot(xor(X,Y)))]]) ).
cnf(refute_0_15624,plain,
( xor(X,Y) != xor(t3,xor(xor(X,Y),t3))
| xor(xor(X,Y),t3) != xor(X,xor(Y,t3))
| xor(X,Y) = xor(t3,xor(X,xor(Y,t3))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,Y),xor(t3,xor(xor(X,Y),t3))) ),[1,1],$fot(xor(X,xor(Y,t3)))]]) ).
cnf(refute_0_15625,plain,
( xor(X,Y) != xor(t3,xor(xor(X,Y),t3))
| xor(X,Y) = xor(t3,xor(X,xor(Y,t3))) ),
inference(resolve,[$cnf( $equal(xor(xor(X,Y),t3),xor(X,xor(Y,t3))) )],[refute_0_15615,refute_0_15624]) ).
cnf(refute_0_15626,plain,
xor(X,Y) = xor(t3,xor(X,xor(Y,t3))),
inference(resolve,[$cnf( $equal(xor(X,Y),xor(t3,xor(xor(X,Y),t3))) )],[refute_0_15623,refute_0_15625]) ).
cnf(refute_0_15627,plain,
( xor(X,Y) != xor(t3,xor(X,xor(Y,t3)))
| xor(t3,xor(X,xor(Y,t3))) = xor(X,Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X,Y))),bind(Y0,$fot(xor(t3,xor(X,xor(Y,t3)))))]]) ).
cnf(refute_0_15628,plain,
xor(t3,xor(X,xor(Y,t3))) = xor(X,Y),
inference(resolve,[$cnf( $equal(xor(X,Y),xor(t3,xor(X,xor(Y,t3)))) )],[refute_0_15626,refute_0_15627]) ).
cnf(refute_0_15629,plain,
xor(a,xor(t3,xor(X,xor(Y,t3)))) = xor(a,xor(t3,xor(X,xor(Y,t3)))),
introduced(tautology,[refl,[$fot(xor(a,xor(t3,xor(X,xor(Y,t3)))))]]) ).
cnf(refute_0_15630,plain,
( xor(a,xor(t3,xor(X,xor(Y,t3)))) != xor(a,xor(t3,xor(X,xor(Y,t3))))
| xor(t3,xor(X,xor(Y,t3))) != xor(X,Y)
| xor(a,xor(t3,xor(X,xor(Y,t3)))) = xor(a,xor(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t3,xor(X,xor(Y,t3)))),xor(a,xor(t3,xor(X,xor(Y,t3))))) ),[1,1],$fot(xor(X,Y))]]) ).
cnf(refute_0_15631,plain,
( xor(t3,xor(X,xor(Y,t3))) != xor(X,Y)
| xor(a,xor(t3,xor(X,xor(Y,t3)))) = xor(a,xor(X,Y)) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,xor(X,xor(Y,t3)))),xor(a,xor(t3,xor(X,xor(Y,t3))))) )],[refute_0_15629,refute_0_15630]) ).
cnf(refute_0_15632,plain,
xor(a,xor(t3,xor(X,xor(Y,t3)))) = xor(a,xor(X,Y)),
inference(resolve,[$cnf( $equal(xor(t3,xor(X,xor(Y,t3))),xor(X,Y)) )],[refute_0_15628,refute_0_15631]) ).
cnf(refute_0_15633,plain,
( xor(X,xor(Y,a)) != xor(a,xor(t3,xor(X,xor(Y,t3))))
| xor(a,xor(t3,xor(X,xor(Y,t3)))) != xor(a,xor(X,Y))
| xor(X,xor(Y,a)) = xor(a,xor(X,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(X,xor(Y,a)),xor(a,xor(X,Y))) ),[0],$fot(xor(a,xor(t3,xor(X,xor(Y,t3)))))]]) ).
cnf(refute_0_15634,plain,
( xor(X,xor(Y,a)) != xor(a,xor(t3,xor(X,xor(Y,t3))))
| xor(X,xor(Y,a)) = xor(a,xor(X,Y)) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,xor(X,xor(Y,t3)))),xor(a,xor(X,Y))) )],[refute_0_15632,refute_0_15633]) ).
cnf(refute_0_15635,plain,
xor(X,xor(Y,a)) = xor(a,xor(X,Y)),
inference(resolve,[$cnf( $equal(xor(X,xor(Y,a)),xor(a,xor(t3,xor(X,xor(Y,t3))))) )],[refute_0_15622,refute_0_15634]) ).
cnf(refute_0_15636,plain,
xor(and(sum,t1),xor(X,a)) = xor(a,xor(and(sum,t1),X)),
inference(subst,[],[refute_0_15635:[bind(X,$fot(and(sum,t1))),bind(Y,$fot(X))]]) ).
cnf(refute_0_15637,plain,
xor(t3,xor(and(sum,t1),xor(X,a))) = xor(t3,xor(and(sum,t1),xor(X,a))),
introduced(tautology,[refl,[$fot(xor(t3,xor(and(sum,t1),xor(X,a))))]]) ).
cnf(refute_0_15638,plain,
( xor(and(sum,t1),xor(X,a)) != xor(a,xor(and(sum,t1),X))
| xor(t3,xor(and(sum,t1),xor(X,a))) != xor(t3,xor(and(sum,t1),xor(X,a)))
| xor(t3,xor(and(sum,t1),xor(X,a))) = xor(t3,xor(a,xor(and(sum,t1),X))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,xor(and(sum,t1),xor(X,a))),xor(t3,xor(and(sum,t1),xor(X,a)))) ),[1,1],$fot(xor(a,xor(and(sum,t1),X)))]]) ).
cnf(refute_0_15639,plain,
( xor(and(sum,t1),xor(X,a)) != xor(a,xor(and(sum,t1),X))
| xor(t3,xor(and(sum,t1),xor(X,a))) = xor(t3,xor(a,xor(and(sum,t1),X))) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(and(sum,t1),xor(X,a))),xor(t3,xor(and(sum,t1),xor(X,a)))) )],[refute_0_15637,refute_0_15638]) ).
cnf(refute_0_15640,plain,
xor(t3,xor(and(sum,t1),xor(X,a))) = xor(t3,xor(a,xor(and(sum,t1),X))),
inference(resolve,[$cnf( $equal(xor(and(sum,t1),xor(X,a)),xor(a,xor(and(sum,t1),X))) )],[refute_0_15636,refute_0_15639]) ).
cnf(refute_0_15641,plain,
( xor(t3,xor(a,xor(and(sum,t1),X))) != xor(carry,xor(or(a,t7),X))
| xor(t3,xor(and(sum,t1),xor(X,a))) != xor(t3,xor(a,xor(and(sum,t1),X)))
| xor(t3,xor(and(sum,t1),xor(X,a))) = xor(carry,xor(or(a,t7),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t3,xor(and(sum,t1),xor(X,a))))),bind(Y0,$fot(xor(t3,xor(a,xor(and(sum,t1),X))))),bind(Z0,$fot(xor(carry,xor(or(a,t7),X))))]]) ).
cnf(refute_0_15642,plain,
( xor(t3,xor(a,xor(and(sum,t1),X))) != xor(carry,xor(or(a,t7),X))
| xor(t3,xor(and(sum,t1),xor(X,a))) = xor(carry,xor(or(a,t7),X)) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(and(sum,t1),xor(X,a))),xor(t3,xor(a,xor(and(sum,t1),X)))) )],[refute_0_15640,refute_0_15641]) ).
cnf(refute_0_15643,plain,
xor(t3,xor(and(sum,t1),xor(X,a))) = xor(carry,xor(or(a,t7),X)),
inference(resolve,[$cnf( $equal(xor(t3,xor(a,xor(and(sum,t1),X))),xor(carry,xor(or(a,t7),X))) )],[refute_0_15611,refute_0_15642]) ).
cnf(refute_0_15644,plain,
xor(t3,xor(xor(X,a),and(sum,t1))) = xor(t3,xor(and(sum,t1),xor(X,a))),
inference(subst,[],[refute_0_2105:[bind(X_333,$fot(t3)),bind(X_334,$fot(xor(X,a))),bind(X_335,$fot(and(sum,t1)))]]) ).
cnf(refute_0_15645,plain,
xor(xor(X,a),xor(t3,and(sum,t1))) = xor(t3,xor(xor(X,a),and(sum,t1))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(t3)),bind(X_334,$fot(xor(X,a))),bind(X_335,$fot(and(sum,t1)))]]) ).
cnf(refute_0_15646,plain,
( xor(t3,xor(xor(X,a),and(sum,t1))) != xor(t3,xor(and(sum,t1),xor(X,a)))
| xor(xor(X,a),xor(t3,and(sum,t1))) != xor(t3,xor(xor(X,a),and(sum,t1)))
| xor(xor(X,a),xor(t3,and(sum,t1))) = xor(t3,xor(and(sum,t1),xor(X,a))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X,a),xor(t3,and(sum,t1))))),bind(Y0,$fot(xor(t3,xor(xor(X,a),and(sum,t1))))),bind(Z0,$fot(xor(t3,xor(and(sum,t1),xor(X,a)))))]]) ).
cnf(refute_0_15647,plain,
( xor(t3,xor(xor(X,a),and(sum,t1))) != xor(t3,xor(and(sum,t1),xor(X,a)))
| xor(xor(X,a),xor(t3,and(sum,t1))) = xor(t3,xor(and(sum,t1),xor(X,a))) ),
inference(resolve,[$cnf( $equal(xor(xor(X,a),xor(t3,and(sum,t1))),xor(t3,xor(xor(X,a),and(sum,t1)))) )],[refute_0_15645,refute_0_15646]) ).
cnf(refute_0_15648,plain,
xor(xor(X,a),xor(t3,and(sum,t1))) = xor(t3,xor(and(sum,t1),xor(X,a))),
inference(resolve,[$cnf( $equal(xor(t3,xor(xor(X,a),and(sum,t1))),xor(t3,xor(and(sum,t1),xor(X,a)))) )],[refute_0_15644,refute_0_15647]) ).
cnf(refute_0_15649,plain,
( xor(t3,xor(and(sum,t1),xor(X,a))) != xor(carry,xor(or(a,t7),X))
| xor(xor(X,a),xor(t3,and(sum,t1))) != xor(t3,xor(and(sum,t1),xor(X,a)))
| xor(xor(X,a),xor(t3,and(sum,t1))) = xor(carry,xor(or(a,t7),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X,a),xor(t3,and(sum,t1))))),bind(Y0,$fot(xor(t3,xor(and(sum,t1),xor(X,a))))),bind(Z0,$fot(xor(carry,xor(or(a,t7),X))))]]) ).
cnf(refute_0_15650,plain,
( xor(t3,xor(and(sum,t1),xor(X,a))) != xor(carry,xor(or(a,t7),X))
| xor(xor(X,a),xor(t3,and(sum,t1))) = xor(carry,xor(or(a,t7),X)) ),
inference(resolve,[$cnf( $equal(xor(xor(X,a),xor(t3,and(sum,t1))),xor(t3,xor(and(sum,t1),xor(X,a)))) )],[refute_0_15648,refute_0_15649]) ).
cnf(refute_0_15651,plain,
xor(xor(X,a),xor(t3,and(sum,t1))) = xor(carry,xor(or(a,t7),X)),
inference(resolve,[$cnf( $equal(xor(t3,xor(and(sum,t1),xor(X,a))),xor(carry,xor(or(a,t7),X))) )],[refute_0_15643,refute_0_15650]) ).
cnf(refute_0_15652,plain,
( xor(X,xor(carry,or(a,t7))) != xor(xor(X,a),xor(t3,and(sum,t1)))
| xor(xor(X,a),xor(t3,and(sum,t1))) != xor(carry,xor(or(a,t7),X))
| xor(X,xor(carry,or(a,t7))) = xor(carry,xor(or(a,t7),X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(X,xor(carry,or(a,t7))),xor(carry,xor(or(a,t7),X))) ),[0],$fot(xor(xor(X,a),xor(t3,and(sum,t1))))]]) ).
cnf(refute_0_15653,plain,
( xor(X,xor(carry,or(a,t7))) != xor(xor(X,a),xor(t3,and(sum,t1)))
| xor(X,xor(carry,or(a,t7))) = xor(carry,xor(or(a,t7),X)) ),
inference(resolve,[$cnf( $equal(xor(xor(X,a),xor(t3,and(sum,t1))),xor(carry,xor(or(a,t7),X))) )],[refute_0_15651,refute_0_15652]) ).
cnf(refute_0_15654,plain,
xor(X,xor(carry,or(a,t7))) = xor(carry,xor(or(a,t7),X)),
inference(resolve,[$cnf( $equal(xor(X,xor(carry,or(a,t7))),xor(xor(X,a),xor(t3,and(sum,t1)))) )],[refute_0_15591,refute_0_15653]) ).
cnf(refute_0_15655,plain,
xor(X,not(or(carry,cin))) = not(xor(X,or(carry,cin))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(X)),bind(X_334,$fot(or(carry,cin)))]]) ).
cnf(refute_0_15656,plain,
xor(X,xor(carry,or(a,t7))) = xor(X,xor(carry,or(a,t7))),
introduced(tautology,[refl,[$fot(xor(X,xor(carry,or(a,t7))))]]) ).
cnf(refute_0_15657,plain,
( xor(X,xor(carry,or(a,t7))) != xor(X,xor(carry,or(a,t7)))
| xor(carry,or(a,t7)) != not(or(carry,cin))
| xor(X,xor(carry,or(a,t7))) = xor(X,not(or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,xor(carry,or(a,t7))),xor(X,xor(carry,or(a,t7)))) ),[1,1],$fot(not(or(carry,cin)))]]) ).
cnf(refute_0_15658,plain,
( xor(carry,or(a,t7)) != not(or(carry,cin))
| xor(X,xor(carry,or(a,t7))) = xor(X,not(or(carry,cin))) ),
inference(resolve,[$cnf( $equal(xor(X,xor(carry,or(a,t7))),xor(X,xor(carry,or(a,t7)))) )],[refute_0_15656,refute_0_15657]) ).
cnf(refute_0_15659,plain,
xor(X,xor(carry,or(a,t7))) = xor(X,not(or(carry,cin))),
inference(resolve,[$cnf( $equal(xor(carry,or(a,t7)),not(or(carry,cin))) )],[refute_0_14865,refute_0_15658]) ).
cnf(refute_0_15660,plain,
( xor(X,not(or(carry,cin))) != not(xor(X,or(carry,cin)))
| xor(X,xor(carry,or(a,t7))) != xor(X,not(or(carry,cin)))
| xor(X,xor(carry,or(a,t7))) = not(xor(X,or(carry,cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(X,xor(carry,or(a,t7))))),bind(Y0,$fot(xor(X,not(or(carry,cin))))),bind(Z0,$fot(not(xor(X,or(carry,cin)))))]]) ).
cnf(refute_0_15661,plain,
( xor(X,not(or(carry,cin))) != not(xor(X,or(carry,cin)))
| xor(X,xor(carry,or(a,t7))) = not(xor(X,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(xor(X,xor(carry,or(a,t7))),xor(X,not(or(carry,cin)))) )],[refute_0_15659,refute_0_15660]) ).
cnf(refute_0_15662,plain,
xor(X,xor(carry,or(a,t7))) = not(xor(X,or(carry,cin))),
inference(resolve,[$cnf( $equal(xor(X,not(or(carry,cin))),not(xor(X,or(carry,cin)))) )],[refute_0_15655,refute_0_15661]) ).
cnf(refute_0_15663,plain,
( xor(X,xor(carry,or(a,t7))) != not(xor(X,or(carry,cin)))
| xor(X,xor(carry,or(a,t7))) != xor(carry,xor(or(a,t7),X))
| not(xor(X,or(carry,cin))) = xor(carry,xor(or(a,t7),X)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,xor(carry,or(a,t7))),xor(carry,xor(or(a,t7),X))) ),[0],$fot(not(xor(X,or(carry,cin))))]]) ).
cnf(refute_0_15664,plain,
( xor(X,xor(carry,or(a,t7))) != xor(carry,xor(or(a,t7),X))
| not(xor(X,or(carry,cin))) = xor(carry,xor(or(a,t7),X)) ),
inference(resolve,[$cnf( $equal(xor(X,xor(carry,or(a,t7))),not(xor(X,or(carry,cin)))) )],[refute_0_15662,refute_0_15663]) ).
cnf(refute_0_15665,plain,
not(xor(X,or(carry,cin))) = xor(carry,xor(or(a,t7),X)),
inference(resolve,[$cnf( $equal(xor(X,xor(carry,or(a,t7))),xor(carry,xor(or(a,t7),X))) )],[refute_0_15654,refute_0_15664]) ).
cnf(refute_0_15666,plain,
( not(xor(X,or(carry,cin))) != xor(carry,xor(or(a,t7),X))
| xor(carry,xor(or(a,t7),X)) = not(xor(X,or(carry,cin))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(xor(X,or(carry,cin))))),bind(Y0,$fot(xor(carry,xor(or(a,t7),X))))]]) ).
cnf(refute_0_15667,plain,
xor(carry,xor(or(a,t7),X)) = not(xor(X,or(carry,cin))),
inference(resolve,[$cnf( $equal(not(xor(X,or(carry,cin))),xor(carry,xor(or(a,t7),X))) )],[refute_0_15665,refute_0_15666]) ).
cnf(refute_0_15668,plain,
xor(carry,xor(or(a,t7),Z)) = not(xor(Z,or(carry,cin))),
inference(subst,[],[refute_0_15667:[bind(X,$fot(Z))]]) ).
cnf(refute_0_15669,plain,
not(xor(carry,xor(or(a,t7),Z))) = not(xor(carry,xor(or(a,t7),Z))),
introduced(tautology,[refl,[$fot(not(xor(carry,xor(or(a,t7),Z))))]]) ).
cnf(refute_0_15670,plain,
( not(xor(carry,xor(or(a,t7),Z))) != not(xor(carry,xor(or(a,t7),Z)))
| xor(carry,xor(or(a,t7),Z)) != not(xor(Z,or(carry,cin)))
| not(xor(carry,xor(or(a,t7),Z))) = not(not(xor(Z,or(carry,cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(carry,xor(or(a,t7),Z))),not(xor(carry,xor(or(a,t7),Z)))) ),[1,0],$fot(not(xor(Z,or(carry,cin))))]]) ).
cnf(refute_0_15671,plain,
( xor(carry,xor(or(a,t7),Z)) != not(xor(Z,or(carry,cin)))
| not(xor(carry,xor(or(a,t7),Z))) = not(not(xor(Z,or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(not(xor(carry,xor(or(a,t7),Z))),not(xor(carry,xor(or(a,t7),Z)))) )],[refute_0_15669,refute_0_15670]) ).
cnf(refute_0_15672,plain,
not(xor(carry,xor(or(a,t7),Z))) = not(not(xor(Z,or(carry,cin)))),
inference(resolve,[$cnf( $equal(xor(carry,xor(or(a,t7),Z)),not(xor(Z,or(carry,cin)))) )],[refute_0_15668,refute_0_15671]) ).
cnf(refute_0_15673,plain,
( not(not(xor(Z,or(carry,cin)))) != xor(Z,or(carry,cin))
| not(xor(carry,xor(or(a,t7),Z))) != not(not(xor(Z,or(carry,cin))))
| not(xor(carry,xor(or(a,t7),Z))) = xor(Z,or(carry,cin)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(carry,xor(or(a,t7),Z))))),bind(Y0,$fot(not(not(xor(Z,or(carry,cin)))))),bind(Z0,$fot(xor(Z,or(carry,cin))))]]) ).
cnf(refute_0_15674,plain,
( not(not(xor(Z,or(carry,cin)))) != xor(Z,or(carry,cin))
| not(xor(carry,xor(or(a,t7),Z))) = xor(Z,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(not(xor(carry,xor(or(a,t7),Z))),not(not(xor(Z,or(carry,cin))))) )],[refute_0_15672,refute_0_15673]) ).
cnf(refute_0_15675,plain,
not(xor(carry,xor(or(a,t7),Z))) = xor(Z,or(carry,cin)),
inference(resolve,[$cnf( $equal(not(not(xor(Z,or(carry,cin)))),xor(Z,or(carry,cin))) )],[refute_0_15587,refute_0_15674]) ).
cnf(refute_0_15676,plain,
( not(xor(carry,xor(or(a,t7),Z))) != xor(Z,or(carry,cin))
| not(xor(carry,xor(or(a,t7),Z))) != xor(or(carry,cin),Z)
| xor(Z,or(carry,cin)) = xor(or(carry,cin),Z) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(carry,xor(or(a,t7),Z))),xor(or(carry,cin),Z)) ),[0],$fot(xor(Z,or(carry,cin)))]]) ).
cnf(refute_0_15677,plain,
( not(xor(carry,xor(or(a,t7),Z))) != xor(or(carry,cin),Z)
| xor(Z,or(carry,cin)) = xor(or(carry,cin),Z) ),
inference(resolve,[$cnf( $equal(not(xor(carry,xor(or(a,t7),Z))),xor(Z,or(carry,cin))) )],[refute_0_15675,refute_0_15676]) ).
cnf(refute_0_15678,plain,
xor(Z,or(carry,cin)) = xor(or(carry,cin),Z),
inference(resolve,[$cnf( $equal(not(xor(carry,xor(or(a,t7),Z))),xor(or(carry,cin),Z)) )],[refute_0_15586,refute_0_15677]) ).
cnf(refute_0_15679,plain,
xor(xor(X,t7),or(carry,cin)) = xor(or(carry,cin),xor(X,t7)),
inference(subst,[],[refute_0_15678:[bind(Z,$fot(xor(X,t7)))]]) ).
cnf(refute_0_15680,plain,
( xor(or(carry,cin),xor(X,t7)) != xor(t1,xor(and(carry_def,cin),X))
| xor(xor(X,t7),or(carry,cin)) != xor(or(carry,cin),xor(X,t7))
| xor(xor(X,t7),or(carry,cin)) = xor(t1,xor(and(carry_def,cin),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X,t7),or(carry,cin)))),bind(Y0,$fot(xor(or(carry,cin),xor(X,t7)))),bind(Z0,$fot(xor(t1,xor(and(carry_def,cin),X))))]]) ).
cnf(refute_0_15681,plain,
( xor(or(carry,cin),xor(X,t7)) != xor(t1,xor(and(carry_def,cin),X))
| xor(xor(X,t7),or(carry,cin)) = xor(t1,xor(and(carry_def,cin),X)) ),
inference(resolve,[$cnf( $equal(xor(xor(X,t7),or(carry,cin)),xor(or(carry,cin),xor(X,t7))) )],[refute_0_15679,refute_0_15680]) ).
cnf(refute_0_15682,plain,
xor(xor(X,t7),or(carry,cin)) = xor(t1,xor(and(carry_def,cin),X)),
inference(resolve,[$cnf( $equal(xor(or(carry,cin),xor(X,t7)),xor(t1,xor(and(carry_def,cin),X))) )],[refute_0_15564,refute_0_15681]) ).
cnf(refute_0_15683,plain,
( xor(X,xor(t1,and(carry_def,cin))) != xor(xor(X,t7),or(carry,cin))
| xor(xor(X,t7),or(carry,cin)) != xor(t1,xor(and(carry_def,cin),X))
| xor(X,xor(t1,and(carry_def,cin))) = xor(t1,xor(and(carry_def,cin),X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(X,xor(t1,and(carry_def,cin))),xor(t1,xor(and(carry_def,cin),X))) ),[0],$fot(xor(xor(X,t7),or(carry,cin)))]]) ).
cnf(refute_0_15684,plain,
( xor(X,xor(t1,and(carry_def,cin))) != xor(xor(X,t7),or(carry,cin))
| xor(X,xor(t1,and(carry_def,cin))) = xor(t1,xor(and(carry_def,cin),X)) ),
inference(resolve,[$cnf( $equal(xor(xor(X,t7),or(carry,cin)),xor(t1,xor(and(carry_def,cin),X))) )],[refute_0_15682,refute_0_15683]) ).
cnf(refute_0_15685,plain,
xor(X,xor(t1,and(carry_def,cin))) = xor(t1,xor(and(carry_def,cin),X)),
inference(resolve,[$cnf( $equal(xor(X,xor(t1,and(carry_def,cin))),xor(xor(X,t7),or(carry,cin))) )],[refute_0_15551,refute_0_15684]) ).
cnf(refute_0_15686,plain,
xor(t5,xor(t1,and(carry_def,cin))) = xor(t1,xor(and(carry_def,cin),t5)),
inference(subst,[],[refute_0_15685:[bind(X,$fot(t5))]]) ).
cnf(refute_0_15687,plain,
( xor(t1,xor(and(carry_def,cin),t5)) != xor(carry,and(carry_def,cin))
| xor(t5,xor(t1,and(carry_def,cin))) != xor(t1,xor(and(carry_def,cin),t5))
| xor(t5,xor(t1,and(carry_def,cin))) = xor(carry,and(carry_def,cin)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t5,xor(t1,and(carry_def,cin))))),bind(Y0,$fot(xor(t1,xor(and(carry_def,cin),t5)))),bind(Z0,$fot(xor(carry,and(carry_def,cin))))]]) ).
cnf(refute_0_15688,plain,
( xor(t1,xor(and(carry_def,cin),t5)) != xor(carry,and(carry_def,cin))
| xor(t5,xor(t1,and(carry_def,cin))) = xor(carry,and(carry_def,cin)) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(t1,and(carry_def,cin))),xor(t1,xor(and(carry_def,cin),t5))) )],[refute_0_15686,refute_0_15687]) ).
cnf(refute_0_15689,plain,
xor(t5,xor(t1,and(carry_def,cin))) = xor(carry,and(carry_def,cin)),
inference(resolve,[$cnf( $equal(xor(t1,xor(and(carry_def,cin),t5)),xor(carry,and(carry_def,cin))) )],[refute_0_15547,refute_0_15688]) ).
cnf(refute_0_15690,plain,
( xor(t5,xor(t1,and(carry_def,cin))) != xor(carry,and(carry_def,cin))
| xor(t5,xor(t1,and(carry_def,cin))) != xor(cin,or(carry,cin))
| xor(carry,and(carry_def,cin)) = xor(cin,or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t5,xor(t1,and(carry_def,cin))),xor(cin,or(carry,cin))) ),[0],$fot(xor(carry,and(carry_def,cin)))]]) ).
cnf(refute_0_15691,plain,
( xor(t5,xor(t1,and(carry_def,cin))) != xor(cin,or(carry,cin))
| xor(carry,and(carry_def,cin)) = xor(cin,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(t1,and(carry_def,cin))),xor(carry,and(carry_def,cin))) )],[refute_0_15689,refute_0_15690]) ).
cnf(refute_0_15692,plain,
xor(carry,and(carry_def,cin)) = xor(cin,or(carry,cin)),
inference(resolve,[$cnf( $equal(xor(t5,xor(t1,and(carry_def,cin))),xor(cin,or(carry,cin))) )],[refute_0_15539,refute_0_15691]) ).
cnf(refute_0_15693,plain,
( xor(carry,and(carry_def,cin)) != xor(cin,or(carry,cin))
| xor(cin,or(carry,cin)) = xor(carry,and(carry_def,cin)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(carry,and(carry_def,cin)))),bind(Y0,$fot(xor(cin,or(carry,cin))))]]) ).
cnf(refute_0_15694,plain,
xor(cin,or(carry,cin)) = xor(carry,and(carry_def,cin)),
inference(resolve,[$cnf( $equal(xor(carry,and(carry_def,cin)),xor(cin,or(carry,cin))) )],[refute_0_15692,refute_0_15693]) ).
cnf(refute_0_15695,plain,
( xor(cin,or(carry,cin)) != xor(carry,and(carry_def,cin))
| xor(cin,or(carry,cin)) != xor(t7,and(t1,or(a,t7)))
| xor(carry,and(carry_def,cin)) = xor(t7,and(t1,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,or(carry,cin)),xor(t7,and(t1,or(a,t7)))) ),[0],$fot(xor(carry,and(carry_def,cin)))]]) ).
cnf(refute_0_15696,plain,
( xor(cin,or(carry,cin)) != xor(t7,and(t1,or(a,t7)))
| xor(carry,and(carry_def,cin)) = xor(t7,and(t1,or(a,t7))) ),
inference(resolve,[$cnf( $equal(xor(cin,or(carry,cin)),xor(carry,and(carry_def,cin))) )],[refute_0_15694,refute_0_15695]) ).
cnf(refute_0_15697,plain,
xor(carry,and(carry_def,cin)) = xor(t7,and(t1,or(a,t7))),
inference(resolve,[$cnf( $equal(xor(cin,or(carry,cin)),xor(t7,and(t1,or(a,t7)))) )],[refute_0_15461,refute_0_15696]) ).
cnf(refute_0_15698,plain,
( xor(carry,and(carry_def,cin)) != xor(t7,and(t1,or(a,t7)))
| xor(t7,and(t1,or(a,t7))) = xor(carry,and(carry_def,cin)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(carry,and(carry_def,cin)))),bind(Y0,$fot(xor(t7,and(t1,or(a,t7)))))]]) ).
cnf(refute_0_15699,plain,
xor(t7,and(t1,or(a,t7))) = xor(carry,and(carry_def,cin)),
inference(resolve,[$cnf( $equal(xor(carry,and(carry_def,cin)),xor(t7,and(t1,or(a,t7)))) )],[refute_0_15697,refute_0_15698]) ).
cnf(refute_0_15700,plain,
( xor(and(t1,or(a,t7)),t6) != xor(sum,xor(t7,and(t1,or(a,t7))))
| xor(t7,and(t1,or(a,t7))) != xor(carry,and(carry_def,cin))
| xor(and(t1,or(a,t7)),t6) = xor(sum,xor(carry,and(carry_def,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(and(t1,or(a,t7)),t6),xor(sum,xor(t7,and(t1,or(a,t7))))) ),[1,1],$fot(xor(carry,and(carry_def,cin)))]]) ).
cnf(refute_0_15701,plain,
( xor(and(t1,or(a,t7)),t6) != xor(sum,xor(t7,and(t1,or(a,t7))))
| xor(and(t1,or(a,t7)),t6) = xor(sum,xor(carry,and(carry_def,cin))) ),
inference(resolve,[$cnf( $equal(xor(t7,and(t1,or(a,t7))),xor(carry,and(carry_def,cin))) )],[refute_0_15699,refute_0_15700]) ).
cnf(refute_0_15702,plain,
xor(and(t1,or(a,t7)),t6) = xor(sum,xor(carry,and(carry_def,cin))),
inference(resolve,[$cnf( $equal(xor(and(t1,or(a,t7)),t6),xor(sum,xor(t7,and(t1,or(a,t7))))) )],[refute_0_15390,refute_0_15701]) ).
cnf(refute_0_15703,plain,
( xor(t4,X_355) != xor(t5,xor(X_355,t6))
| xor(t5,xor(X_355,t6)) = xor(t4,X_355) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t4,X_355))),bind(Y0,$fot(xor(t5,xor(X_355,t6))))]]) ).
cnf(refute_0_15704,plain,
xor(t5,xor(X_355,t6)) = xor(t4,X_355),
inference(resolve,[$cnf( $equal(xor(t4,X_355),xor(t5,xor(X_355,t6))) )],[refute_0_4956,refute_0_15703]) ).
cnf(refute_0_15705,plain,
xor(t5,xor(or(carry,cin),t6)) = xor(t4,or(carry,cin)),
inference(subst,[],[refute_0_15704:[bind(X_355,$fot(or(carry,cin)))]]) ).
cnf(refute_0_15706,plain,
xor(t5,xor(or(carry,cin),Z)) = xor(xor(t5,or(carry,cin)),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(t5)),bind(Y,$fot(or(carry,cin)))]]) ).
cnf(refute_0_15707,plain,
( xor(t5,or(carry,cin)) != and(t1,or(a,t7))
| xor(t5,xor(or(carry,cin),Z)) != xor(xor(t5,or(carry,cin)),Z)
| xor(t5,xor(or(carry,cin),Z)) = xor(and(t1,or(a,t7)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t5,xor(or(carry,cin),Z)),xor(xor(t5,or(carry,cin)),Z)) ),[1,0],$fot(and(t1,or(a,t7)))]]) ).
cnf(refute_0_15708,plain,
( xor(t5,xor(or(carry,cin),Z)) != xor(xor(t5,or(carry,cin)),Z)
| xor(t5,xor(or(carry,cin),Z)) = xor(and(t1,or(a,t7)),Z) ),
inference(resolve,[$cnf( $equal(xor(t5,or(carry,cin)),and(t1,or(a,t7))) )],[refute_0_15455,refute_0_15707]) ).
cnf(refute_0_15709,plain,
xor(t5,xor(or(carry,cin),Z)) = xor(and(t1,or(a,t7)),Z),
inference(resolve,[$cnf( $equal(xor(t5,xor(or(carry,cin),Z)),xor(xor(t5,or(carry,cin)),Z)) )],[refute_0_15706,refute_0_15708]) ).
cnf(refute_0_15710,plain,
( xor(t5,xor(or(carry,cin),Z)) != xor(and(t1,or(a,t7)),Z)
| xor(and(t1,or(a,t7)),Z) = xor(t5,xor(or(carry,cin),Z)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t5,xor(or(carry,cin),Z)))),bind(Y0,$fot(xor(and(t1,or(a,t7)),Z)))]]) ).
cnf(refute_0_15711,plain,
xor(and(t1,or(a,t7)),Z) = xor(t5,xor(or(carry,cin),Z)),
inference(resolve,[$cnf( $equal(xor(t5,xor(or(carry,cin),Z)),xor(and(t1,or(a,t7)),Z)) )],[refute_0_15709,refute_0_15710]) ).
cnf(refute_0_15712,plain,
xor(and(t1,or(a,t7)),t6) = xor(t5,xor(or(carry,cin),t6)),
inference(subst,[],[refute_0_15711:[bind(Z,$fot(t6))]]) ).
cnf(refute_0_15713,plain,
( xor(and(t1,or(a,t7)),t6) != xor(t5,xor(or(carry,cin),t6))
| xor(t5,xor(or(carry,cin),t6)) != xor(t4,or(carry,cin))
| xor(and(t1,or(a,t7)),t6) = xor(t4,or(carry,cin)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(and(t1,or(a,t7)),t6))),bind(Y0,$fot(xor(t5,xor(or(carry,cin),t6)))),bind(Z0,$fot(xor(t4,or(carry,cin))))]]) ).
cnf(refute_0_15714,plain,
( xor(t5,xor(or(carry,cin),t6)) != xor(t4,or(carry,cin))
| xor(and(t1,or(a,t7)),t6) = xor(t4,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(xor(and(t1,or(a,t7)),t6),xor(t5,xor(or(carry,cin),t6))) )],[refute_0_15712,refute_0_15713]) ).
cnf(refute_0_15715,plain,
xor(and(t1,or(a,t7)),t6) = xor(t4,or(carry,cin)),
inference(resolve,[$cnf( $equal(xor(t5,xor(or(carry,cin),t6)),xor(t4,or(carry,cin))) )],[refute_0_15705,refute_0_15714]) ).
cnf(refute_0_15716,plain,
( xor(and(t1,or(a,t7)),t6) != xor(sum,xor(carry,and(carry_def,cin)))
| xor(and(t1,or(a,t7)),t6) != xor(t4,or(carry,cin))
| xor(t4,or(carry,cin)) = xor(sum,xor(carry,and(carry_def,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(and(t1,or(a,t7)),t6),xor(sum,xor(carry,and(carry_def,cin)))) ),[0],$fot(xor(t4,or(carry,cin)))]]) ).
cnf(refute_0_15717,plain,
( xor(and(t1,or(a,t7)),t6) != xor(sum,xor(carry,and(carry_def,cin)))
| xor(t4,or(carry,cin)) = xor(sum,xor(carry,and(carry_def,cin))) ),
inference(resolve,[$cnf( $equal(xor(and(t1,or(a,t7)),t6),xor(t4,or(carry,cin))) )],[refute_0_15715,refute_0_15716]) ).
cnf(refute_0_15718,plain,
xor(carry,xor(sum,and(carry_def,cin))) = xor(carry,xor(sum,and(carry_def,cin))),
introduced(tautology,[refl,[$fot(xor(carry,xor(sum,and(carry_def,cin))))]]) ).
cnf(refute_0_15719,plain,
( xor(carry,xor(sum,and(carry_def,cin))) != xor(carry,xor(sum,and(carry_def,cin)))
| xor(sum,and(carry_def,cin)) != and(t1,or(cin,sum))
| xor(carry,xor(sum,and(carry_def,cin))) = xor(carry,and(t1,or(cin,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(sum,and(carry_def,cin))),xor(carry,xor(sum,and(carry_def,cin)))) ),[1,1],$fot(and(t1,or(cin,sum)))]]) ).
cnf(refute_0_15720,plain,
( xor(sum,and(carry_def,cin)) != and(t1,or(cin,sum))
| xor(carry,xor(sum,and(carry_def,cin))) = xor(carry,and(t1,or(cin,sum))) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(sum,and(carry_def,cin))),xor(carry,xor(sum,and(carry_def,cin)))) )],[refute_0_15718,refute_0_15719]) ).
cnf(refute_0_15721,plain,
xor(carry,xor(sum,and(carry_def,cin))) = xor(carry,and(t1,or(cin,sum))),
inference(resolve,[$cnf( $equal(xor(sum,and(carry_def,cin)),and(t1,or(cin,sum))) )],[refute_0_15371,refute_0_15720]) ).
cnf(refute_0_15722,plain,
xor(a,xor(t3,xor(t7,X_734))) = xor(carry,xor(sum,X_734)),
inference(subst,[],[refute_0_4908:[bind(Z,$fot(X_734))]]) ).
cnf(refute_0_15723,plain,
xor(X_734,sum) = xor(sum,X_734),
inference(subst,[],[xor_commutative:[bind(X,$fot(X_734)),bind(Y,$fot(sum))]]) ).
cnf(refute_0_15724,plain,
( xor(X_734,sum) != xor(sum,X_734)
| xor(sum,X_734) = xor(X_734,sum) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X_734,sum))),bind(Y0,$fot(xor(sum,X_734)))]]) ).
cnf(refute_0_15725,plain,
xor(sum,X_734) = xor(X_734,sum),
inference(resolve,[$cnf( $equal(xor(X_734,sum),xor(sum,X_734)) )],[refute_0_15723,refute_0_15724]) ).
cnf(refute_0_15726,plain,
( xor(a,xor(t3,xor(t7,X_734))) != xor(carry,xor(sum,X_734))
| xor(sum,X_734) != xor(X_734,sum)
| xor(a,xor(t3,xor(t7,X_734))) = xor(carry,xor(X_734,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t3,xor(t7,X_734))),xor(carry,xor(sum,X_734))) ),[1,1],$fot(xor(X_734,sum))]]) ).
cnf(refute_0_15727,plain,
( xor(a,xor(t3,xor(t7,X_734))) != xor(carry,xor(sum,X_734))
| xor(a,xor(t3,xor(t7,X_734))) = xor(carry,xor(X_734,sum)) ),
inference(resolve,[$cnf( $equal(xor(sum,X_734),xor(X_734,sum)) )],[refute_0_15725,refute_0_15726]) ).
cnf(refute_0_15728,plain,
xor(a,xor(t3,xor(t7,X_734))) = xor(carry,xor(X_734,sum)),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,xor(t7,X_734))),xor(carry,xor(sum,X_734))) )],[refute_0_15722,refute_0_15727]) ).
cnf(refute_0_15729,plain,
( xor(a,xor(t3,xor(t7,X_734))) != xor(carry,xor(X_734,sum))
| xor(a,xor(t3,xor(t7,X_734))) != xor(carry,xor(sum,X_734))
| xor(carry,xor(sum,X_734)) = xor(carry,xor(X_734,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t3,xor(t7,X_734))),xor(carry,xor(X_734,sum))) ),[0],$fot(xor(carry,xor(sum,X_734)))]]) ).
cnf(refute_0_15730,plain,
( xor(a,xor(t3,xor(t7,X_734))) != xor(carry,xor(X_734,sum))
| xor(carry,xor(sum,X_734)) = xor(carry,xor(X_734,sum)) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,xor(t7,X_734))),xor(carry,xor(sum,X_734))) )],[refute_0_15722,refute_0_15729]) ).
cnf(refute_0_15731,plain,
xor(carry,xor(sum,X_734)) = xor(carry,xor(X_734,sum)),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,xor(t7,X_734))),xor(carry,xor(X_734,sum))) )],[refute_0_15728,refute_0_15730]) ).
cnf(refute_0_15732,plain,
( xor(carry,xor(sum,X_734)) != xor(carry,xor(X_734,sum))
| xor(carry,xor(X_734,sum)) = xor(carry,xor(sum,X_734)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(carry,xor(sum,X_734)))),bind(Y0,$fot(xor(carry,xor(X_734,sum))))]]) ).
cnf(refute_0_15733,plain,
xor(carry,xor(X_734,sum)) = xor(carry,xor(sum,X_734)),
inference(resolve,[$cnf( $equal(xor(carry,xor(sum,X_734)),xor(carry,xor(X_734,sum))) )],[refute_0_15731,refute_0_15732]) ).
cnf(refute_0_15734,plain,
xor(carry,xor(and(carry_def,cin),sum)) = xor(carry,xor(sum,and(carry_def,cin))),
inference(subst,[],[refute_0_15733:[bind(X_734,$fot(and(carry_def,cin)))]]) ).
cnf(refute_0_15735,plain,
xor(X,xor(cin,or(carry,cin))) = xor(xor(X,cin),or(carry,cin)),
inference(subst,[],[xor_associative:[bind(Y,$fot(cin)),bind(Z,$fot(or(carry,cin)))]]) ).
cnf(refute_0_15736,plain,
( xor(X,xor(cin,or(carry,cin))) != xor(xor(X,cin),or(carry,cin))
| xor(cin,or(carry,cin)) != xor(carry,and(carry_def,cin))
| xor(X,xor(carry,and(carry_def,cin))) = xor(xor(X,cin),or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,xor(cin,or(carry,cin))),xor(xor(X,cin),or(carry,cin))) ),[0,1],$fot(xor(carry,and(carry_def,cin)))]]) ).
cnf(refute_0_15737,plain,
( xor(X,xor(cin,or(carry,cin))) != xor(xor(X,cin),or(carry,cin))
| xor(X,xor(carry,and(carry_def,cin))) = xor(xor(X,cin),or(carry,cin)) ),
inference(resolve,[$cnf( $equal(xor(cin,or(carry,cin)),xor(carry,and(carry_def,cin))) )],[refute_0_15694,refute_0_15736]) ).
cnf(refute_0_15738,plain,
xor(X,xor(carry,and(carry_def,cin))) = xor(xor(X,cin),or(carry,cin)),
inference(resolve,[$cnf( $equal(xor(X,xor(cin,or(carry,cin))),xor(xor(X,cin),or(carry,cin))) )],[refute_0_15735,refute_0_15737]) ).
cnf(refute_0_15739,plain,
xor(cin,xor(or(carry,cin),Z)) = xor(xor(cin,or(carry,cin)),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(cin)),bind(Y,$fot(or(carry,cin)))]]) ).
cnf(refute_0_15740,plain,
( xor(cin,or(carry,cin)) != xor(carry,and(carry_def,cin))
| xor(cin,xor(or(carry,cin),Z)) != xor(xor(cin,or(carry,cin)),Z)
| xor(cin,xor(or(carry,cin),Z)) = xor(xor(carry,and(carry_def,cin)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(or(carry,cin),Z)),xor(xor(cin,or(carry,cin)),Z)) ),[1,0],$fot(xor(carry,and(carry_def,cin)))]]) ).
cnf(refute_0_15741,plain,
( xor(cin,xor(or(carry,cin),Z)) != xor(xor(cin,or(carry,cin)),Z)
| xor(cin,xor(or(carry,cin),Z)) = xor(xor(carry,and(carry_def,cin)),Z) ),
inference(resolve,[$cnf( $equal(xor(cin,or(carry,cin)),xor(carry,and(carry_def,cin))) )],[refute_0_15694,refute_0_15740]) ).
cnf(refute_0_15742,plain,
xor(cin,xor(or(carry,cin),Z)) = xor(xor(carry,and(carry_def,cin)),Z),
inference(resolve,[$cnf( $equal(xor(cin,xor(or(carry,cin),Z)),xor(xor(cin,or(carry,cin)),Z)) )],[refute_0_15739,refute_0_15741]) ).
cnf(refute_0_15743,plain,
xor(xor(carry,and(carry_def,cin)),Z) = xor(carry,xor(and(carry_def,cin),Z)),
inference(subst,[],[refute_0_526:[bind(X,$fot(carry)),bind(Y,$fot(and(carry_def,cin)))]]) ).
cnf(refute_0_15744,plain,
( xor(cin,xor(or(carry,cin),Z)) != xor(xor(carry,and(carry_def,cin)),Z)
| xor(xor(carry,and(carry_def,cin)),Z) != xor(carry,xor(and(carry_def,cin),Z))
| xor(cin,xor(or(carry,cin),Z)) = xor(carry,xor(and(carry_def,cin),Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(cin,xor(or(carry,cin),Z)),xor(carry,xor(and(carry_def,cin),Z))) ),[0],$fot(xor(xor(carry,and(carry_def,cin)),Z))]]) ).
cnf(refute_0_15745,plain,
( xor(cin,xor(or(carry,cin),Z)) != xor(xor(carry,and(carry_def,cin)),Z)
| xor(cin,xor(or(carry,cin),Z)) = xor(carry,xor(and(carry_def,cin),Z)) ),
inference(resolve,[$cnf( $equal(xor(xor(carry,and(carry_def,cin)),Z),xor(carry,xor(and(carry_def,cin),Z))) )],[refute_0_15743,refute_0_15744]) ).
cnf(refute_0_15746,plain,
xor(cin,xor(or(carry,cin),Z)) = xor(carry,xor(and(carry_def,cin),Z)),
inference(resolve,[$cnf( $equal(xor(cin,xor(or(carry,cin),Z)),xor(xor(carry,and(carry_def,cin)),Z)) )],[refute_0_15742,refute_0_15745]) ).
cnf(refute_0_15747,plain,
xor(cin,xor(or(carry,cin),X)) = xor(carry,xor(and(carry_def,cin),X)),
inference(subst,[],[refute_0_15746:[bind(Z,$fot(X))]]) ).
cnf(refute_0_15748,plain,
xor(or(carry,cin),xor(X,cin)) = xor(cin,xor(or(carry,cin),X)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(cin)),bind(X_333,$fot(or(carry,cin))),bind(X_334,$fot(X))]]) ).
cnf(refute_0_15749,plain,
( xor(cin,xor(or(carry,cin),X)) != xor(carry,xor(and(carry_def,cin),X))
| xor(or(carry,cin),xor(X,cin)) != xor(cin,xor(or(carry,cin),X))
| xor(or(carry,cin),xor(X,cin)) = xor(carry,xor(and(carry_def,cin),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(or(carry,cin),xor(X,cin)))),bind(Y0,$fot(xor(cin,xor(or(carry,cin),X)))),bind(Z0,$fot(xor(carry,xor(and(carry_def,cin),X))))]]) ).
cnf(refute_0_15750,plain,
( xor(cin,xor(or(carry,cin),X)) != xor(carry,xor(and(carry_def,cin),X))
| xor(or(carry,cin),xor(X,cin)) = xor(carry,xor(and(carry_def,cin),X)) ),
inference(resolve,[$cnf( $equal(xor(or(carry,cin),xor(X,cin)),xor(cin,xor(or(carry,cin),X))) )],[refute_0_15748,refute_0_15749]) ).
cnf(refute_0_15751,plain,
xor(or(carry,cin),xor(X,cin)) = xor(carry,xor(and(carry_def,cin),X)),
inference(resolve,[$cnf( $equal(xor(cin,xor(or(carry,cin),X)),xor(carry,xor(and(carry_def,cin),X))) )],[refute_0_15747,refute_0_15750]) ).
cnf(refute_0_15752,plain,
xor(xor(X,cin),or(carry,cin)) = xor(or(carry,cin),xor(X,cin)),
inference(subst,[],[refute_0_15678:[bind(Z,$fot(xor(X,cin)))]]) ).
cnf(refute_0_15753,plain,
( xor(or(carry,cin),xor(X,cin)) != xor(carry,xor(and(carry_def,cin),X))
| xor(xor(X,cin),or(carry,cin)) != xor(or(carry,cin),xor(X,cin))
| xor(xor(X,cin),or(carry,cin)) = xor(carry,xor(and(carry_def,cin),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X,cin),or(carry,cin)))),bind(Y0,$fot(xor(or(carry,cin),xor(X,cin)))),bind(Z0,$fot(xor(carry,xor(and(carry_def,cin),X))))]]) ).
cnf(refute_0_15754,plain,
( xor(or(carry,cin),xor(X,cin)) != xor(carry,xor(and(carry_def,cin),X))
| xor(xor(X,cin),or(carry,cin)) = xor(carry,xor(and(carry_def,cin),X)) ),
inference(resolve,[$cnf( $equal(xor(xor(X,cin),or(carry,cin)),xor(or(carry,cin),xor(X,cin))) )],[refute_0_15752,refute_0_15753]) ).
cnf(refute_0_15755,plain,
xor(xor(X,cin),or(carry,cin)) = xor(carry,xor(and(carry_def,cin),X)),
inference(resolve,[$cnf( $equal(xor(or(carry,cin),xor(X,cin)),xor(carry,xor(and(carry_def,cin),X))) )],[refute_0_15751,refute_0_15754]) ).
cnf(refute_0_15756,plain,
( xor(X,xor(carry,and(carry_def,cin))) != xor(xor(X,cin),or(carry,cin))
| xor(xor(X,cin),or(carry,cin)) != xor(carry,xor(and(carry_def,cin),X))
| xor(X,xor(carry,and(carry_def,cin))) = xor(carry,xor(and(carry_def,cin),X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(X,xor(carry,and(carry_def,cin))),xor(carry,xor(and(carry_def,cin),X))) ),[0],$fot(xor(xor(X,cin),or(carry,cin)))]]) ).
cnf(refute_0_15757,plain,
( xor(X,xor(carry,and(carry_def,cin))) != xor(xor(X,cin),or(carry,cin))
| xor(X,xor(carry,and(carry_def,cin))) = xor(carry,xor(and(carry_def,cin),X)) ),
inference(resolve,[$cnf( $equal(xor(xor(X,cin),or(carry,cin)),xor(carry,xor(and(carry_def,cin),X))) )],[refute_0_15755,refute_0_15756]) ).
cnf(refute_0_15758,plain,
xor(X,xor(carry,and(carry_def,cin))) = xor(carry,xor(and(carry_def,cin),X)),
inference(resolve,[$cnf( $equal(xor(X,xor(carry,and(carry_def,cin))),xor(xor(X,cin),or(carry,cin))) )],[refute_0_15738,refute_0_15757]) ).
cnf(refute_0_15759,plain,
xor(sum,xor(carry,and(carry_def,cin))) = xor(carry,xor(and(carry_def,cin),sum)),
inference(subst,[],[refute_0_15758:[bind(X,$fot(sum))]]) ).
cnf(refute_0_15760,plain,
( xor(carry,xor(and(carry_def,cin),sum)) != xor(carry,xor(sum,and(carry_def,cin)))
| xor(sum,xor(carry,and(carry_def,cin))) != xor(carry,xor(and(carry_def,cin),sum))
| xor(sum,xor(carry,and(carry_def,cin))) = xor(carry,xor(sum,and(carry_def,cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(sum,xor(carry,and(carry_def,cin))))),bind(Y0,$fot(xor(carry,xor(and(carry_def,cin),sum)))),bind(Z0,$fot(xor(carry,xor(sum,and(carry_def,cin)))))]]) ).
cnf(refute_0_15761,plain,
( xor(carry,xor(and(carry_def,cin),sum)) != xor(carry,xor(sum,and(carry_def,cin)))
| xor(sum,xor(carry,and(carry_def,cin))) = xor(carry,xor(sum,and(carry_def,cin))) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(carry,and(carry_def,cin))),xor(carry,xor(and(carry_def,cin),sum))) )],[refute_0_15759,refute_0_15760]) ).
cnf(refute_0_15762,plain,
xor(sum,xor(carry,and(carry_def,cin))) = xor(carry,xor(sum,and(carry_def,cin))),
inference(resolve,[$cnf( $equal(xor(carry,xor(and(carry_def,cin),sum)),xor(carry,xor(sum,and(carry_def,cin)))) )],[refute_0_15734,refute_0_15761]) ).
cnf(refute_0_15763,plain,
( xor(carry,xor(sum,and(carry_def,cin))) != xor(carry,and(t1,or(cin,sum)))
| xor(sum,xor(carry,and(carry_def,cin))) != xor(carry,xor(sum,and(carry_def,cin)))
| xor(sum,xor(carry,and(carry_def,cin))) = xor(carry,and(t1,or(cin,sum))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(sum,xor(carry,and(carry_def,cin))))),bind(Y0,$fot(xor(carry,xor(sum,and(carry_def,cin))))),bind(Z0,$fot(xor(carry,and(t1,or(cin,sum)))))]]) ).
cnf(refute_0_15764,plain,
( xor(carry,xor(sum,and(carry_def,cin))) != xor(carry,and(t1,or(cin,sum)))
| xor(sum,xor(carry,and(carry_def,cin))) = xor(carry,and(t1,or(cin,sum))) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(carry,and(carry_def,cin))),xor(carry,xor(sum,and(carry_def,cin)))) )],[refute_0_15762,refute_0_15763]) ).
cnf(refute_0_15765,plain,
xor(sum,xor(carry,and(carry_def,cin))) = xor(carry,and(t1,or(cin,sum))),
inference(resolve,[$cnf( $equal(xor(carry,xor(sum,and(carry_def,cin))),xor(carry,and(t1,or(cin,sum)))) )],[refute_0_15721,refute_0_15764]) ).
cnf(refute_0_15766,plain,
( xor(sum,xor(carry,and(carry_def,cin))) != xor(carry,and(t1,or(cin,sum)))
| xor(t4,or(carry,cin)) != xor(sum,xor(carry,and(carry_def,cin)))
| xor(t4,or(carry,cin)) = xor(carry,and(t1,or(cin,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,or(carry,cin)),xor(sum,xor(carry,and(carry_def,cin)))) ),[1],$fot(xor(carry,and(t1,or(cin,sum))))]]) ).
cnf(refute_0_15767,plain,
( xor(t4,or(carry,cin)) != xor(sum,xor(carry,and(carry_def,cin)))
| xor(t4,or(carry,cin)) = xor(carry,and(t1,or(cin,sum))) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(carry,and(carry_def,cin))),xor(carry,and(t1,or(cin,sum)))) )],[refute_0_15765,refute_0_15766]) ).
cnf(refute_0_15768,plain,
( xor(and(t1,or(a,t7)),t6) != xor(sum,xor(carry,and(carry_def,cin)))
| xor(t4,or(carry,cin)) = xor(carry,and(t1,or(cin,sum))) ),
inference(resolve,[$cnf( $equal(xor(t4,or(carry,cin)),xor(sum,xor(carry,and(carry_def,cin)))) )],[refute_0_15717,refute_0_15767]) ).
cnf(refute_0_15769,plain,
xor(t4,or(carry,cin)) = xor(carry,and(t1,or(cin,sum))),
inference(resolve,[$cnf( $equal(xor(and(t1,or(a,t7)),t6),xor(sum,xor(carry,and(carry_def,cin)))) )],[refute_0_15702,refute_0_15768]) ).
cnf(refute_0_15770,plain,
( xor(t4,or(carry,cin)) != xor(carry,and(t1,or(cin,sum)))
| xor(carry,and(t1,or(cin,sum))) = xor(t4,or(carry,cin)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t4,or(carry,cin)))),bind(Y0,$fot(xor(carry,and(t1,or(cin,sum)))))]]) ).
cnf(refute_0_15771,plain,
xor(carry,and(t1,or(cin,sum))) = xor(t4,or(carry,cin)),
inference(resolve,[$cnf( $equal(xor(t4,or(carry,cin)),xor(carry,and(t1,or(cin,sum)))) )],[refute_0_15769,refute_0_15770]) ).
cnf(refute_0_15772,plain,
( xor(carry,and(t1,or(cin,sum))) != xor(t4,or(carry,cin))
| xor(carry,xor(and(t1,or(cin,sum)),Z)) != xor(xor(carry,and(t1,or(cin,sum))),Z)
| xor(carry,xor(and(t1,or(cin,sum)),Z)) = xor(xor(t4,or(carry,cin)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(and(t1,or(cin,sum)),Z)),xor(xor(carry,and(t1,or(cin,sum))),Z)) ),[1,0],$fot(xor(t4,or(carry,cin)))]]) ).
cnf(refute_0_15773,plain,
( xor(carry,xor(and(t1,or(cin,sum)),Z)) != xor(xor(carry,and(t1,or(cin,sum))),Z)
| xor(carry,xor(and(t1,or(cin,sum)),Z)) = xor(xor(t4,or(carry,cin)),Z) ),
inference(resolve,[$cnf( $equal(xor(carry,and(t1,or(cin,sum))),xor(t4,or(carry,cin))) )],[refute_0_15771,refute_0_15772]) ).
cnf(refute_0_15774,plain,
xor(carry,xor(and(t1,or(cin,sum)),Z)) = xor(xor(t4,or(carry,cin)),Z),
inference(resolve,[$cnf( $equal(xor(carry,xor(and(t1,or(cin,sum)),Z)),xor(xor(carry,and(t1,or(cin,sum))),Z)) )],[refute_0_15389,refute_0_15773]) ).
cnf(refute_0_15775,plain,
xor(carry,xor(and(t1,or(cin,sum)),Z)) = xor(carry,xor(and(t1,or(cin,sum)),Z)),
introduced(tautology,[refl,[$fot(xor(carry,xor(and(t1,or(cin,sum)),Z)))]]) ).
cnf(refute_0_15776,plain,
( xor(and(t1,or(cin,sum)),Z) != xor(sum,xor(and(carry_def,cin),Z))
| xor(carry,xor(and(t1,or(cin,sum)),Z)) != xor(carry,xor(and(t1,or(cin,sum)),Z))
| xor(carry,xor(and(t1,or(cin,sum)),Z)) = xor(carry,xor(sum,xor(and(carry_def,cin),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(and(t1,or(cin,sum)),Z)),xor(carry,xor(and(t1,or(cin,sum)),Z))) ),[1,1],$fot(xor(sum,xor(and(carry_def,cin),Z)))]]) ).
cnf(refute_0_15777,plain,
( xor(and(t1,or(cin,sum)),Z) != xor(sum,xor(and(carry_def,cin),Z))
| xor(carry,xor(and(t1,or(cin,sum)),Z)) = xor(carry,xor(sum,xor(and(carry_def,cin),Z))) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(and(t1,or(cin,sum)),Z)),xor(carry,xor(and(t1,or(cin,sum)),Z))) )],[refute_0_15775,refute_0_15776]) ).
cnf(refute_0_15778,plain,
xor(carry,xor(and(t1,or(cin,sum)),Z)) = xor(carry,xor(sum,xor(and(carry_def,cin),Z))),
inference(resolve,[$cnf( $equal(xor(and(t1,or(cin,sum)),Z),xor(sum,xor(and(carry_def,cin),Z))) )],[refute_0_15376,refute_0_15777]) ).
cnf(refute_0_15779,plain,
( xor(carry,xor(and(t1,or(cin,sum)),Z)) != xor(carry,xor(sum,xor(and(carry_def,cin),Z)))
| xor(carry,xor(and(t1,or(cin,sum)),Z)) != xor(xor(t4,or(carry,cin)),Z)
| xor(carry,xor(sum,xor(and(carry_def,cin),Z))) = xor(xor(t4,or(carry,cin)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(and(t1,or(cin,sum)),Z)),xor(xor(t4,or(carry,cin)),Z)) ),[0],$fot(xor(carry,xor(sum,xor(and(carry_def,cin),Z))))]]) ).
cnf(refute_0_15780,plain,
( xor(carry,xor(and(t1,or(cin,sum)),Z)) != xor(xor(t4,or(carry,cin)),Z)
| xor(carry,xor(sum,xor(and(carry_def,cin),Z))) = xor(xor(t4,or(carry,cin)),Z) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(and(t1,or(cin,sum)),Z)),xor(carry,xor(sum,xor(and(carry_def,cin),Z)))) )],[refute_0_15778,refute_0_15779]) ).
cnf(refute_0_15781,plain,
xor(xor(t4,or(carry,cin)),Z) = xor(t4,xor(or(carry,cin),Z)),
inference(subst,[],[refute_0_526:[bind(X,$fot(t4)),bind(Y,$fot(or(carry,cin)))]]) ).
cnf(refute_0_15782,plain,
( xor(carry,xor(sum,xor(and(carry_def,cin),Z))) != xor(xor(t4,or(carry,cin)),Z)
| xor(xor(t4,or(carry,cin)),Z) != xor(t4,xor(or(carry,cin),Z))
| xor(carry,xor(sum,xor(and(carry_def,cin),Z))) = xor(t4,xor(or(carry,cin),Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(carry,xor(sum,xor(and(carry_def,cin),Z))),xor(t4,xor(or(carry,cin),Z))) ),[0],$fot(xor(xor(t4,or(carry,cin)),Z))]]) ).
cnf(refute_0_15783,plain,
( xor(carry,xor(sum,xor(and(carry_def,cin),Z))) != xor(xor(t4,or(carry,cin)),Z)
| xor(carry,xor(sum,xor(and(carry_def,cin),Z))) = xor(t4,xor(or(carry,cin),Z)) ),
inference(resolve,[$cnf( $equal(xor(xor(t4,or(carry,cin)),Z),xor(t4,xor(or(carry,cin),Z))) )],[refute_0_15781,refute_0_15782]) ).
cnf(refute_0_15784,plain,
( xor(carry,xor(and(t1,or(cin,sum)),Z)) != xor(xor(t4,or(carry,cin)),Z)
| xor(carry,xor(sum,xor(and(carry_def,cin),Z))) = xor(t4,xor(or(carry,cin),Z)) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(sum,xor(and(carry_def,cin),Z))),xor(xor(t4,or(carry,cin)),Z)) )],[refute_0_15780,refute_0_15783]) ).
cnf(refute_0_15785,plain,
xor(carry,xor(sum,xor(and(carry_def,cin),Z))) = xor(t4,xor(or(carry,cin),Z)),
inference(resolve,[$cnf( $equal(xor(carry,xor(and(t1,or(cin,sum)),Z)),xor(xor(t4,or(carry,cin)),Z)) )],[refute_0_15774,refute_0_15784]) ).
cnf(refute_0_15786,plain,
xor(t4,xor(or(carry,cin),Z)) = xor(xor(t4,or(carry,cin)),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(t4)),bind(Y,$fot(or(carry,cin)))]]) ).
cnf(refute_0_15787,plain,
or(and(t4,not(or(carry,cin))),and(not(t4),or(carry,cin))) = xor(t4,or(carry,cin)),
inference(subst,[],[refute_0_9:[bind(X,$fot(t4)),bind(Y,$fot(or(carry,cin)))]]) ).
cnf(refute_0_15788,plain,
and(not(t4),or(carry,cin)) = and(t5,and(t6,or(carry,cin))),
inference(subst,[],[refute_0_5450:[bind(Z,$fot(or(carry,cin)))]]) ).
cnf(refute_0_15789,plain,
or(cin,and(X_819,t6)) = and(or(cin,X_819),or(cin,t6)),
inference(subst,[],[and_distributive:[bind(X,$fot(cin)),bind(Y,$fot(X_819)),bind(Z,$fot(t6))]]) ).
cnf(refute_0_15790,plain,
( or(cin,and(X_819,t6)) != and(or(cin,X_819),or(cin,t6))
| or(cin,t6) != t6
| or(cin,and(X_819,t6)) = and(or(cin,X_819),t6) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,and(X_819,t6)),and(or(cin,X_819),or(cin,t6))) ),[1,1],$fot(t6)]]) ).
cnf(refute_0_15791,plain,
( or(cin,and(X_819,t6)) != and(or(cin,X_819),or(cin,t6))
| or(cin,and(X_819,t6)) = and(or(cin,X_819),t6) ),
inference(resolve,[$cnf( $equal(or(cin,t6),t6) )],[refute_0_5492,refute_0_15790]) ).
cnf(refute_0_15792,plain,
or(cin,and(X_819,t6)) = and(or(cin,X_819),t6),
inference(resolve,[$cnf( $equal(or(cin,and(X_819,t6)),and(or(cin,X_819),or(cin,t6))) )],[refute_0_15789,refute_0_15791]) ).
cnf(refute_0_15793,plain,
and(or(cin,X_819),t6) = and(t6,or(cin,X_819)),
inference(subst,[],[refute_0_4252:[bind(X_14,$fot(t6)),bind(X_669,$fot(or(cin,X_819)))]]) ).
cnf(refute_0_15794,plain,
( and(or(cin,X_819),t6) != and(t6,or(cin,X_819))
| or(cin,and(X_819,t6)) != and(or(cin,X_819),t6)
| or(cin,and(X_819,t6)) = and(t6,or(cin,X_819)) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,and(X_819,t6)),and(or(cin,X_819),t6)) ),[1],$fot(and(t6,or(cin,X_819)))]]) ).
cnf(refute_0_15795,plain,
( or(cin,and(X_819,t6)) != and(or(cin,X_819),t6)
| or(cin,and(X_819,t6)) = and(t6,or(cin,X_819)) ),
inference(resolve,[$cnf( $equal(and(or(cin,X_819),t6),and(t6,or(cin,X_819))) )],[refute_0_15793,refute_0_15794]) ).
cnf(refute_0_15796,plain,
or(cin,and(X_819,t6)) = and(t6,or(cin,X_819)),
inference(resolve,[$cnf( $equal(or(cin,and(X_819,t6)),and(or(cin,X_819),t6)) )],[refute_0_15792,refute_0_15795]) ).
cnf(refute_0_15797,plain,
or(cin,and(carry,t6)) = and(t6,or(cin,carry)),
inference(subst,[],[refute_0_15796:[bind(X_819,$fot(carry))]]) ).
cnf(refute_0_15798,plain,
and(carry,or(carry,t6)) = carry,
inference(subst,[],[and_absorption:[bind(X,$fot(carry)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_15799,plain,
( and(carry,or(carry,t6)) != carry
| or(carry,t6) != t6
| and(carry,t6) = carry ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,or(carry,t6)),carry) ),[0,1],$fot(t6)]]) ).
cnf(refute_0_15800,plain,
( and(carry,or(carry,t6)) != carry
| and(carry,t6) = carry ),
inference(resolve,[$cnf( $equal(or(carry,t6),t6) )],[refute_0_10664,refute_0_15799]) ).
cnf(refute_0_15801,plain,
and(carry,t6) = carry,
inference(resolve,[$cnf( $equal(and(carry,or(carry,t6)),carry) )],[refute_0_15798,refute_0_15800]) ).
cnf(refute_0_15802,plain,
( and(carry,t6) != carry
| or(cin,and(carry,t6)) != and(t6,or(cin,carry))
| or(cin,carry) = and(t6,or(cin,carry)) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,and(carry,t6)),and(t6,or(cin,carry))) ),[0,1],$fot(carry)]]) ).
cnf(refute_0_15803,plain,
( or(cin,and(carry,t6)) != and(t6,or(cin,carry))
| or(cin,carry) = and(t6,or(cin,carry)) ),
inference(resolve,[$cnf( $equal(and(carry,t6),carry) )],[refute_0_15801,refute_0_15802]) ).
cnf(refute_0_15804,plain,
or(cin,carry) = and(t6,or(cin,carry)),
inference(resolve,[$cnf( $equal(or(cin,and(carry,t6)),and(t6,or(cin,carry))) )],[refute_0_15797,refute_0_15803]) ).
cnf(refute_0_15805,plain,
or(cin,carry) = or(carry,cin),
inference(subst,[],[refute_0_5:[bind(X,$fot(carry)),bind(Y,$fot(cin))]]) ).
cnf(refute_0_15806,plain,
( or(cin,carry) != and(t6,or(cin,carry))
| or(cin,carry) != or(carry,cin)
| or(carry,cin) = and(t6,or(cin,carry)) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,carry),and(t6,or(cin,carry))) ),[0],$fot(or(carry,cin))]]) ).
cnf(refute_0_15807,plain,
( or(cin,carry) != and(t6,or(cin,carry))
| or(carry,cin) = and(t6,or(cin,carry)) ),
inference(resolve,[$cnf( $equal(or(cin,carry),or(carry,cin)) )],[refute_0_15805,refute_0_15806]) ).
cnf(refute_0_15808,plain,
and(t6,or(cin,carry)) = and(t6,or(carry,cin)),
inference(subst,[],[refute_0_13680:[bind(X_752,$fot(t6)),bind(X_753,$fot(cin)),bind(X_754,$fot(carry))]]) ).
cnf(refute_0_15809,plain,
( and(t6,or(cin,carry)) != and(t6,or(carry,cin))
| or(carry,cin) != and(t6,or(cin,carry))
| or(carry,cin) = and(t6,or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,cin),and(t6,or(cin,carry))) ),[1],$fot(and(t6,or(carry,cin)))]]) ).
cnf(refute_0_15810,plain,
( or(carry,cin) != and(t6,or(cin,carry))
| or(carry,cin) = and(t6,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(and(t6,or(cin,carry)),and(t6,or(carry,cin))) )],[refute_0_15808,refute_0_15809]) ).
cnf(refute_0_15811,plain,
( or(cin,carry) != and(t6,or(cin,carry))
| or(carry,cin) = and(t6,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(or(carry,cin),and(t6,or(cin,carry))) )],[refute_0_15807,refute_0_15810]) ).
cnf(refute_0_15812,plain,
or(carry,cin) = and(t6,or(carry,cin)),
inference(resolve,[$cnf( $equal(or(cin,carry),and(t6,or(cin,carry))) )],[refute_0_15804,refute_0_15811]) ).
cnf(refute_0_15813,plain,
( or(carry,cin) != and(t6,or(carry,cin))
| and(t6,or(carry,cin)) = or(carry,cin) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(carry,cin))),bind(Y0,$fot(and(t6,or(carry,cin))))]]) ).
cnf(refute_0_15814,plain,
and(t6,or(carry,cin)) = or(carry,cin),
inference(resolve,[$cnf( $equal(or(carry,cin),and(t6,or(carry,cin))) )],[refute_0_15812,refute_0_15813]) ).
cnf(refute_0_15815,plain,
( and(not(t4),or(carry,cin)) != and(t5,and(t6,or(carry,cin)))
| and(t6,or(carry,cin)) != or(carry,cin)
| and(not(t4),or(carry,cin)) = and(t5,or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),or(carry,cin)),and(t5,and(t6,or(carry,cin)))) ),[1,1],$fot(or(carry,cin))]]) ).
cnf(refute_0_15816,plain,
( and(not(t4),or(carry,cin)) != and(t5,and(t6,or(carry,cin)))
| and(not(t4),or(carry,cin)) = and(t5,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(and(t6,or(carry,cin)),or(carry,cin)) )],[refute_0_15814,refute_0_15815]) ).
cnf(refute_0_15817,plain,
and(not(t4),or(carry,cin)) = and(t5,or(carry,cin)),
inference(resolve,[$cnf( $equal(and(not(t4),or(carry,cin)),and(t5,and(t6,or(carry,cin)))) )],[refute_0_15788,refute_0_15816]) ).
cnf(refute_0_15818,plain,
( and(not(t4),or(carry,cin)) != and(t5,or(carry,cin))
| or(and(t4,not(or(carry,cin))),and(not(t4),or(carry,cin))) != xor(t4,or(carry,cin))
| or(and(t4,not(or(carry,cin))),and(t5,or(carry,cin))) = xor(t4,or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,not(or(carry,cin))),and(not(t4),or(carry,cin))),xor(t4,or(carry,cin))) ),[0,1],$fot(and(t5,or(carry,cin)))]]) ).
cnf(refute_0_15819,plain,
( or(and(t4,not(or(carry,cin))),and(not(t4),or(carry,cin))) != xor(t4,or(carry,cin))
| or(and(t4,not(or(carry,cin))),and(t5,or(carry,cin))) = xor(t4,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(and(not(t4),or(carry,cin)),and(t5,or(carry,cin))) )],[refute_0_15817,refute_0_15818]) ).
cnf(refute_0_15820,plain,
or(and(t4,not(or(carry,cin))),and(t5,or(carry,cin))) = xor(t4,or(carry,cin)),
inference(resolve,[$cnf( $equal(or(and(t4,not(or(carry,cin))),and(not(t4),or(carry,cin))),xor(t4,or(carry,cin))) )],[refute_0_15787,refute_0_15819]) ).
cnf(refute_0_15821,plain,
not(and(t6,not(or(carry,cin)))) = or(not(t6),not(not(or(carry,cin)))),
inference(subst,[],[and_demorgan:[bind(X,$fot(t6)),bind(Y,$fot(not(or(carry,cin))))]]) ).
cnf(refute_0_15822,plain,
and(not(sum),not(carry)) = and(t6,and(t7,not(carry))),
inference(subst,[],[refute_0_5417:[bind(X_222,$fot(not(carry)))]]) ).
cnf(refute_0_15823,plain,
and(not(carry),t7) = and(t1,and(t5,t7)),
inference(subst,[],[refute_0_178:[bind(X_222,$fot(t7))]]) ).
cnf(refute_0_15824,plain,
( and(not(carry),t7) != and(t1,and(t5,t7))
| and(t5,t7) != not(cin)
| and(not(carry),t7) = and(t1,not(cin)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),t7),and(t1,and(t5,t7))) ),[1,1],$fot(not(cin))]]) ).
cnf(refute_0_15825,plain,
( and(not(carry),t7) != and(t1,and(t5,t7))
| and(not(carry),t7) = and(t1,not(cin)) ),
inference(resolve,[$cnf( $equal(and(t5,t7),not(cin)) )],[refute_0_4015,refute_0_15824]) ).
cnf(refute_0_15826,plain,
and(not(carry),t7) = and(t1,not(cin)),
inference(resolve,[$cnf( $equal(and(not(carry),t7),and(t1,and(t5,t7))) )],[refute_0_15823,refute_0_15825]) ).
cnf(refute_0_15827,plain,
and(not(carry),t7) = and(t7,not(carry)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t7)),bind(Y,$fot(not(carry)))]]) ).
cnf(refute_0_15828,plain,
( and(not(carry),t7) != and(t1,not(cin))
| and(not(carry),t7) != and(t7,not(carry))
| and(t7,not(carry)) = and(t1,not(cin)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),t7),and(t1,not(cin))) ),[0],$fot(and(t7,not(carry)))]]) ).
cnf(refute_0_15829,plain,
( and(not(carry),t7) != and(t1,not(cin))
| and(t7,not(carry)) = and(t1,not(cin)) ),
inference(resolve,[$cnf( $equal(and(not(carry),t7),and(t7,not(carry))) )],[refute_0_15827,refute_0_15828]) ).
cnf(refute_0_15830,plain,
( and(t1,not(cin)) != not(or(carry,cin))
| and(t7,not(carry)) != and(t1,not(cin))
| and(t7,not(carry)) = not(or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t7,not(carry)),and(t1,not(cin))) ),[1],$fot(not(or(carry,cin)))]]) ).
cnf(refute_0_15831,plain,
( and(t7,not(carry)) != and(t1,not(cin))
| and(t7,not(carry)) = not(or(carry,cin)) ),
inference(resolve,[$cnf( $equal(and(t1,not(cin)),not(or(carry,cin))) )],[refute_0_11746,refute_0_15830]) ).
cnf(refute_0_15832,plain,
( and(not(carry),t7) != and(t1,not(cin))
| and(t7,not(carry)) = not(or(carry,cin)) ),
inference(resolve,[$cnf( $equal(and(t7,not(carry)),and(t1,not(cin))) )],[refute_0_15829,refute_0_15831]) ).
cnf(refute_0_15833,plain,
and(t7,not(carry)) = not(or(carry,cin)),
inference(resolve,[$cnf( $equal(and(not(carry),t7),and(t1,not(cin))) )],[refute_0_15826,refute_0_15832]) ).
cnf(refute_0_15834,plain,
( and(not(sum),not(carry)) != and(t6,and(t7,not(carry)))
| and(t7,not(carry)) != not(or(carry,cin))
| and(not(sum),not(carry)) = and(t6,not(or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(sum),not(carry)),and(t6,and(t7,not(carry)))) ),[1,1],$fot(not(or(carry,cin)))]]) ).
cnf(refute_0_15835,plain,
( and(not(sum),not(carry)) != and(t6,and(t7,not(carry)))
| and(not(sum),not(carry)) = and(t6,not(or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(t7,not(carry)),not(or(carry,cin))) )],[refute_0_15833,refute_0_15834]) ).
cnf(refute_0_15836,plain,
and(not(sum),not(carry)) = and(t6,not(or(carry,cin))),
inference(resolve,[$cnf( $equal(and(not(sum),not(carry)),and(t6,and(t7,not(carry)))) )],[refute_0_15822,refute_0_15835]) ).
cnf(refute_0_15837,plain,
not(or(sum,carry)) = not(or(carry,sum)),
inference(subst,[],[refute_0_562:[bind(X_25,$fot(sum)),bind(X_26,$fot(carry))]]) ).
cnf(refute_0_15838,plain,
and(not(sum),not(carry)) = not(or(sum,carry)),
inference(subst,[],[refute_0_101:[bind(X,$fot(sum)),bind(Y,$fot(carry))]]) ).
cnf(refute_0_15839,plain,
( and(not(sum),not(carry)) != not(or(sum,carry))
| not(or(sum,carry)) != not(or(carry,sum))
| and(not(sum),not(carry)) = not(or(carry,sum)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(sum),not(carry)))),bind(Y0,$fot(not(or(sum,carry)))),bind(Z0,$fot(not(or(carry,sum))))]]) ).
cnf(refute_0_15840,plain,
( not(or(sum,carry)) != not(or(carry,sum))
| and(not(sum),not(carry)) = not(or(carry,sum)) ),
inference(resolve,[$cnf( $equal(and(not(sum),not(carry)),not(or(sum,carry))) )],[refute_0_15838,refute_0_15839]) ).
cnf(refute_0_15841,plain,
and(not(sum),not(carry)) = not(or(carry,sum)),
inference(resolve,[$cnf( $equal(not(or(sum,carry)),not(or(carry,sum))) )],[refute_0_15837,refute_0_15840]) ).
cnf(refute_0_15842,plain,
( and(not(sum),not(carry)) != and(t6,not(or(carry,cin)))
| and(not(sum),not(carry)) != not(or(carry,sum))
| not(or(carry,sum)) = and(t6,not(or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(sum),not(carry)),and(t6,not(or(carry,cin)))) ),[0],$fot(not(or(carry,sum)))]]) ).
cnf(refute_0_15843,plain,
( and(not(sum),not(carry)) != and(t6,not(or(carry,cin)))
| not(or(carry,sum)) = and(t6,not(or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(not(sum),not(carry)),not(or(carry,sum))) )],[refute_0_15841,refute_0_15842]) ).
cnf(refute_0_15844,plain,
not(or(carry,sum)) = and(t6,not(or(carry,cin))),
inference(resolve,[$cnf( $equal(and(not(sum),not(carry)),and(t6,not(or(carry,cin)))) )],[refute_0_15836,refute_0_15843]) ).
cnf(refute_0_15845,plain,
( not(or(carry,sum)) != and(t6,not(or(carry,cin)))
| and(t6,not(or(carry,cin))) = not(or(carry,sum)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(carry,sum)))),bind(Y0,$fot(and(t6,not(or(carry,cin)))))]]) ).
cnf(refute_0_15846,plain,
and(t6,not(or(carry,cin))) = not(or(carry,sum)),
inference(resolve,[$cnf( $equal(not(or(carry,sum)),and(t6,not(or(carry,cin)))) )],[refute_0_15844,refute_0_15845]) ).
cnf(refute_0_15847,plain,
( and(t6,not(or(carry,cin))) != not(or(carry,sum))
| not(and(t6,not(or(carry,cin)))) != or(not(t6),not(not(or(carry,cin))))
| not(not(or(carry,sum))) = or(not(t6),not(not(or(carry,cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(t6,not(or(carry,cin)))),or(not(t6),not(not(or(carry,cin))))) ),[0,0],$fot(not(or(carry,sum)))]]) ).
cnf(refute_0_15848,plain,
( not(and(t6,not(or(carry,cin)))) != or(not(t6),not(not(or(carry,cin))))
| not(not(or(carry,sum))) = or(not(t6),not(not(or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(and(t6,not(or(carry,cin))),not(or(carry,sum))) )],[refute_0_15846,refute_0_15847]) ).
cnf(refute_0_15849,plain,
not(not(or(carry,sum))) = or(not(t6),not(not(or(carry,cin)))),
inference(resolve,[$cnf( $equal(not(and(t6,not(or(carry,cin)))),or(not(t6),not(not(or(carry,cin))))) )],[refute_0_15821,refute_0_15848]) ).
cnf(refute_0_15850,plain,
not(not(or(carry,sum))) = or(carry,sum),
inference(subst,[],[not_involution:[bind(X,$fot(or(carry,sum)))]]) ).
cnf(refute_0_15851,plain,
( not(not(or(carry,sum))) != or(carry,sum)
| not(not(or(carry,sum))) != or(not(t6),not(not(or(carry,cin))))
| or(carry,sum) = or(not(t6),not(not(or(carry,cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(or(carry,sum))),or(not(t6),not(not(or(carry,cin))))) ),[0],$fot(or(carry,sum))]]) ).
cnf(refute_0_15852,plain,
( not(not(or(carry,sum))) != or(not(t6),not(not(or(carry,cin))))
| or(carry,sum) = or(not(t6),not(not(or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(not(not(or(carry,sum))),or(carry,sum)) )],[refute_0_15850,refute_0_15851]) ).
cnf(refute_0_15853,plain,
or(or(carry,not(t6)),Z) = or(carry,or(not(t6),Z)),
inference(subst,[],[or_associative:[bind(X,$fot(carry)),bind(Y,$fot(not(t6)))]]) ).
cnf(refute_0_15854,plain,
not(and(not(carry),t6)) = not(and(t6,not(carry))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(t6)),bind(X_32,$fot(not(carry)))]]) ).
cnf(refute_0_15855,plain,
( and(t6,not(carry)) != xor(carry,t6)
| not(and(not(carry),t6)) != not(and(t6,not(carry)))
| not(and(not(carry),t6)) = not(xor(carry,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(carry),t6)),not(and(t6,not(carry)))) ),[1,0],$fot(xor(carry,t6))]]) ).
cnf(refute_0_15856,plain,
( not(and(not(carry),t6)) != not(and(t6,not(carry)))
| not(and(not(carry),t6)) = not(xor(carry,t6)) ),
inference(resolve,[$cnf( $equal(and(t6,not(carry)),xor(carry,t6)) )],[refute_0_13884,refute_0_15855]) ).
cnf(refute_0_15857,plain,
not(and(not(carry),t6)) = not(xor(carry,t6)),
inference(resolve,[$cnf( $equal(not(and(not(carry),t6)),not(and(t6,not(carry)))) )],[refute_0_15854,refute_0_15856]) ).
cnf(refute_0_15858,plain,
not(and(not(carry),t6)) = or(carry,not(t6)),
inference(subst,[],[refute_0_787:[bind(X,$fot(carry)),bind(X_32,$fot(t6))]]) ).
cnf(refute_0_15859,plain,
( not(and(not(carry),t6)) != not(xor(carry,t6))
| not(and(not(carry),t6)) != or(carry,not(t6))
| or(carry,not(t6)) = not(xor(carry,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(carry),t6)),not(xor(carry,t6))) ),[0],$fot(or(carry,not(t6)))]]) ).
cnf(refute_0_15860,plain,
( not(and(not(carry),t6)) != not(xor(carry,t6))
| or(carry,not(t6)) = not(xor(carry,t6)) ),
inference(resolve,[$cnf( $equal(not(and(not(carry),t6)),or(carry,not(t6))) )],[refute_0_15858,refute_0_15859]) ).
cnf(refute_0_15861,plain,
( not(xor(carry,t6)) != or(carry,t4)
| or(carry,not(t6)) != not(xor(carry,t6))
| or(carry,not(t6)) = or(carry,t4) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(t6)),not(xor(carry,t6))) ),[1],$fot(or(carry,t4))]]) ).
cnf(refute_0_15862,plain,
( or(carry,not(t6)) != not(xor(carry,t6))
| or(carry,not(t6)) = or(carry,t4) ),
inference(resolve,[$cnf( $equal(not(xor(carry,t6)),or(carry,t4)) )],[refute_0_3620,refute_0_15861]) ).
cnf(refute_0_15863,plain,
( not(and(not(carry),t6)) != not(xor(carry,t6))
| or(carry,not(t6)) = or(carry,t4) ),
inference(resolve,[$cnf( $equal(or(carry,not(t6)),not(xor(carry,t6))) )],[refute_0_15860,refute_0_15862]) ).
cnf(refute_0_15864,plain,
or(carry,not(t6)) = or(carry,t4),
inference(resolve,[$cnf( $equal(not(and(not(carry),t6)),not(xor(carry,t6))) )],[refute_0_15857,refute_0_15863]) ).
cnf(refute_0_15865,plain,
( or(carry,not(t6)) != or(carry,t4)
| or(or(carry,not(t6)),Z) != or(carry,or(not(t6),Z))
| or(or(carry,t4),Z) = or(carry,or(not(t6),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(carry,not(t6)),Z),or(carry,or(not(t6),Z))) ),[0,0],$fot(or(carry,t4))]]) ).
cnf(refute_0_15866,plain,
( or(or(carry,not(t6)),Z) != or(carry,or(not(t6),Z))
| or(or(carry,t4),Z) = or(carry,or(not(t6),Z)) ),
inference(resolve,[$cnf( $equal(or(carry,not(t6)),or(carry,t4)) )],[refute_0_15864,refute_0_15865]) ).
cnf(refute_0_15867,plain,
or(or(carry,t4),Z) = or(carry,or(not(t6),Z)),
inference(resolve,[$cnf( $equal(or(or(carry,not(t6)),Z),or(carry,or(not(t6),Z))) )],[refute_0_15853,refute_0_15866]) ).
cnf(refute_0_15868,plain,
or(or(carry,t4),Z) = or(carry,or(t4,Z)),
inference(subst,[],[or_associative:[bind(X,$fot(carry)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_15869,plain,
( or(or(carry,t4),Z) != or(carry,or(not(t6),Z))
| or(or(carry,t4),Z) != or(carry,or(t4,Z))
| or(carry,or(t4,Z)) = or(carry,or(not(t6),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(carry,t4),Z),or(carry,or(not(t6),Z))) ),[0],$fot(or(carry,or(t4,Z)))]]) ).
cnf(refute_0_15870,plain,
( or(or(carry,t4),Z) != or(carry,or(not(t6),Z))
| or(carry,or(t4,Z)) = or(carry,or(not(t6),Z)) ),
inference(resolve,[$cnf( $equal(or(or(carry,t4),Z),or(carry,or(t4,Z))) )],[refute_0_15868,refute_0_15869]) ).
cnf(refute_0_15871,plain,
or(carry,or(t4,Z)) = or(carry,or(not(t6),Z)),
inference(resolve,[$cnf( $equal(or(or(carry,t4),Z),or(carry,or(not(t6),Z))) )],[refute_0_15867,refute_0_15870]) ).
cnf(refute_0_15872,plain,
( or(carry,t4) != or(b,t4)
| or(or(carry,t4),Z) != or(carry,or(t4,Z))
| or(or(b,t4),Z) = or(carry,or(t4,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(carry,t4),Z),or(carry,or(t4,Z))) ),[0,0],$fot(or(b,t4))]]) ).
cnf(refute_0_15873,plain,
( or(or(carry,t4),Z) != or(carry,or(t4,Z))
| or(or(b,t4),Z) = or(carry,or(t4,Z)) ),
inference(resolve,[$cnf( $equal(or(carry,t4),or(b,t4)) )],[refute_0_2127,refute_0_15872]) ).
cnf(refute_0_15874,plain,
or(or(b,t4),Z) = or(carry,or(t4,Z)),
inference(resolve,[$cnf( $equal(or(or(carry,t4),Z),or(carry,or(t4,Z))) )],[refute_0_15868,refute_0_15873]) ).
cnf(refute_0_15875,plain,
or(or(b,t4),Z) = or(b,or(t4,Z)),
inference(subst,[],[or_associative:[bind(X,$fot(b)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_15876,plain,
( or(or(b,t4),Z) != or(b,or(t4,Z))
| or(or(b,t4),Z) != or(carry,or(t4,Z))
| or(b,or(t4,Z)) = or(carry,or(t4,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(b,t4),Z),or(carry,or(t4,Z))) ),[0],$fot(or(b,or(t4,Z)))]]) ).
cnf(refute_0_15877,plain,
( or(or(b,t4),Z) != or(carry,or(t4,Z))
| or(b,or(t4,Z)) = or(carry,or(t4,Z)) ),
inference(resolve,[$cnf( $equal(or(or(b,t4),Z),or(b,or(t4,Z))) )],[refute_0_15875,refute_0_15876]) ).
cnf(refute_0_15878,plain,
or(b,or(t4,Z)) = or(carry,or(t4,Z)),
inference(resolve,[$cnf( $equal(or(or(b,t4),Z),or(carry,or(t4,Z))) )],[refute_0_15874,refute_0_15877]) ).
cnf(refute_0_15879,plain,
( or(b,or(t4,Z)) != or(carry,or(t4,Z))
| or(carry,or(t4,Z)) = or(b,or(t4,Z)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(b,or(t4,Z)))),bind(Y0,$fot(or(carry,or(t4,Z))))]]) ).
cnf(refute_0_15880,plain,
or(carry,or(t4,Z)) = or(b,or(t4,Z)),
inference(resolve,[$cnf( $equal(or(b,or(t4,Z)),or(carry,or(t4,Z))) )],[refute_0_15878,refute_0_15879]) ).
cnf(refute_0_15881,plain,
( or(carry,or(t4,Z)) != or(b,or(t4,Z))
| or(carry,or(t4,Z)) != or(carry,or(not(t6),Z))
| or(b,or(t4,Z)) = or(carry,or(not(t6),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,or(t4,Z)),or(carry,or(not(t6),Z))) ),[0],$fot(or(b,or(t4,Z)))]]) ).
cnf(refute_0_15882,plain,
( or(carry,or(t4,Z)) != or(carry,or(not(t6),Z))
| or(b,or(t4,Z)) = or(carry,or(not(t6),Z)) ),
inference(resolve,[$cnf( $equal(or(carry,or(t4,Z)),or(b,or(t4,Z))) )],[refute_0_15880,refute_0_15881]) ).
cnf(refute_0_15883,plain,
or(b,or(t4,Z)) = or(carry,or(not(t6),Z)),
inference(resolve,[$cnf( $equal(or(carry,or(t4,Z)),or(carry,or(not(t6),Z))) )],[refute_0_15871,refute_0_15882]) ).
cnf(refute_0_15884,plain,
( or(b,t4) != or(a,t4)
| or(b,t4) != or(carry,t4)
| or(a,t4) = or(carry,t4) ),
introduced(tautology,[equality,[$cnf( $equal(or(b,t4),or(carry,t4)) ),[0],$fot(or(a,t4))]]) ).
cnf(refute_0_15885,plain,
( or(b,t4) != or(carry,t4)
| or(a,t4) = or(carry,t4) ),
inference(resolve,[$cnf( $equal(or(b,t4),or(a,t4)) )],[refute_0_3730,refute_0_15884]) ).
cnf(refute_0_15886,plain,
or(a,t4) = or(carry,t4),
inference(resolve,[$cnf( $equal(or(b,t4),or(carry,t4)) )],[refute_0_2125,refute_0_15885]) ).
cnf(refute_0_15887,plain,
( or(a,t4) != or(carry,t4)
| or(carry,t4) = or(a,t4) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(a,t4))),bind(Y0,$fot(or(carry,t4)))]]) ).
cnf(refute_0_15888,plain,
or(carry,t4) = or(a,t4),
inference(resolve,[$cnf( $equal(or(a,t4),or(carry,t4)) )],[refute_0_15886,refute_0_15887]) ).
cnf(refute_0_15889,plain,
( or(carry,t4) != or(a,t4)
| or(or(carry,t4),Z) != or(carry,or(t4,Z))
| or(or(a,t4),Z) = or(carry,or(t4,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(carry,t4),Z),or(carry,or(t4,Z))) ),[0,0],$fot(or(a,t4))]]) ).
cnf(refute_0_15890,plain,
( or(or(carry,t4),Z) != or(carry,or(t4,Z))
| or(or(a,t4),Z) = or(carry,or(t4,Z)) ),
inference(resolve,[$cnf( $equal(or(carry,t4),or(a,t4)) )],[refute_0_15888,refute_0_15889]) ).
cnf(refute_0_15891,plain,
or(or(a,t4),Z) = or(carry,or(t4,Z)),
inference(resolve,[$cnf( $equal(or(or(carry,t4),Z),or(carry,or(t4,Z))) )],[refute_0_15868,refute_0_15890]) ).
cnf(refute_0_15892,plain,
or(or(a,t4),Z) = or(a,or(t4,Z)),
inference(subst,[],[or_associative:[bind(X,$fot(a)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_15893,plain,
( or(or(a,t4),Z) != or(a,or(t4,Z))
| or(or(a,t4),Z) != or(carry,or(t4,Z))
| or(a,or(t4,Z)) = or(carry,or(t4,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(a,t4),Z),or(carry,or(t4,Z))) ),[0],$fot(or(a,or(t4,Z)))]]) ).
cnf(refute_0_15894,plain,
( or(or(a,t4),Z) != or(carry,or(t4,Z))
| or(a,or(t4,Z)) = or(carry,or(t4,Z)) ),
inference(resolve,[$cnf( $equal(or(or(a,t4),Z),or(a,or(t4,Z))) )],[refute_0_15892,refute_0_15893]) ).
cnf(refute_0_15895,plain,
( or(a,or(t4,Z)) != or(carry,or(t4,Z))
| or(carry,or(t4,Z)) != or(b,or(t4,Z))
| or(a,or(t4,Z)) = or(b,or(t4,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(a,or(t4,Z)),or(b,or(t4,Z))) ),[0],$fot(or(carry,or(t4,Z)))]]) ).
cnf(refute_0_15896,plain,
( or(a,or(t4,Z)) != or(carry,or(t4,Z))
| or(a,or(t4,Z)) = or(b,or(t4,Z)) ),
inference(resolve,[$cnf( $equal(or(carry,or(t4,Z)),or(b,or(t4,Z))) )],[refute_0_15880,refute_0_15895]) ).
cnf(refute_0_15897,plain,
( or(or(a,t4),Z) != or(carry,or(t4,Z))
| or(a,or(t4,Z)) = or(b,or(t4,Z)) ),
inference(resolve,[$cnf( $equal(or(a,or(t4,Z)),or(carry,or(t4,Z))) )],[refute_0_15894,refute_0_15896]) ).
cnf(refute_0_15898,plain,
or(a,or(t4,Z)) = or(b,or(t4,Z)),
inference(resolve,[$cnf( $equal(or(or(a,t4),Z),or(carry,or(t4,Z))) )],[refute_0_15891,refute_0_15897]) ).
cnf(refute_0_15899,plain,
( or(a,or(t4,Z)) != or(b,or(t4,Z))
| or(b,or(t4,Z)) = or(a,or(t4,Z)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(a,or(t4,Z)))),bind(Y0,$fot(or(b,or(t4,Z))))]]) ).
cnf(refute_0_15900,plain,
or(b,or(t4,Z)) = or(a,or(t4,Z)),
inference(resolve,[$cnf( $equal(or(a,or(t4,Z)),or(b,or(t4,Z))) )],[refute_0_15898,refute_0_15899]) ).
cnf(refute_0_15901,plain,
( or(b,or(t4,Z)) != or(a,or(t4,Z))
| or(b,or(t4,Z)) != or(carry,or(not(t6),Z))
| or(a,or(t4,Z)) = or(carry,or(not(t6),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(b,or(t4,Z)),or(carry,or(not(t6),Z))) ),[0],$fot(or(a,or(t4,Z)))]]) ).
cnf(refute_0_15902,plain,
( or(b,or(t4,Z)) != or(carry,or(not(t6),Z))
| or(a,or(t4,Z)) = or(carry,or(not(t6),Z)) ),
inference(resolve,[$cnf( $equal(or(b,or(t4,Z)),or(a,or(t4,Z))) )],[refute_0_15900,refute_0_15901]) ).
cnf(refute_0_15903,plain,
or(a,or(t4,Z)) = or(carry,or(not(t6),Z)),
inference(resolve,[$cnf( $equal(or(b,or(t4,Z)),or(carry,or(not(t6),Z))) )],[refute_0_15883,refute_0_15902]) ).
cnf(refute_0_15904,plain,
( or(a,t4) != or(a,b)
| or(a,t4) != or(carry,t4)
| or(a,b) = or(carry,t4) ),
introduced(tautology,[equality,[$cnf( $equal(or(a,t4),or(carry,t4)) ),[0],$fot(or(a,b))]]) ).
cnf(refute_0_15905,plain,
( or(a,t4) != or(carry,t4)
| or(a,b) = or(carry,t4) ),
inference(resolve,[$cnf( $equal(or(a,t4),or(a,b)) )],[refute_0_3071,refute_0_15904]) ).
cnf(refute_0_15906,plain,
or(a,b) = or(carry,t4),
inference(resolve,[$cnf( $equal(or(a,t4),or(carry,t4)) )],[refute_0_15886,refute_0_15905]) ).
cnf(refute_0_15907,plain,
( or(a,b) != or(carry,t4)
| or(carry,t4) = or(a,b) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(a,b))),bind(Y0,$fot(or(carry,t4)))]]) ).
cnf(refute_0_15908,plain,
or(carry,t4) = or(a,b),
inference(resolve,[$cnf( $equal(or(a,b),or(carry,t4)) )],[refute_0_15906,refute_0_15907]) ).
cnf(refute_0_15909,plain,
( or(carry,t4) != or(a,b)
| or(or(carry,t4),Z) != or(carry,or(t4,Z))
| or(or(a,b),Z) = or(carry,or(t4,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(carry,t4),Z),or(carry,or(t4,Z))) ),[0,0],$fot(or(a,b))]]) ).
cnf(refute_0_15910,plain,
( or(or(carry,t4),Z) != or(carry,or(t4,Z))
| or(or(a,b),Z) = or(carry,or(t4,Z)) ),
inference(resolve,[$cnf( $equal(or(carry,t4),or(a,b)) )],[refute_0_15908,refute_0_15909]) ).
cnf(refute_0_15911,plain,
or(or(a,b),Z) = or(carry,or(t4,Z)),
inference(resolve,[$cnf( $equal(or(or(carry,t4),Z),or(carry,or(t4,Z))) )],[refute_0_15868,refute_0_15910]) ).
cnf(refute_0_15912,plain,
( or(or(a,b),Z) != or(a,or(b,Z))
| or(or(a,b),Z) != or(carry,or(t4,Z))
| or(a,or(b,Z)) = or(carry,or(t4,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(a,b),Z),or(carry,or(t4,Z))) ),[0],$fot(or(a,or(b,Z)))]]) ).
cnf(refute_0_15913,plain,
( or(or(a,b),Z) != or(carry,or(t4,Z))
| or(a,or(b,Z)) = or(carry,or(t4,Z)) ),
inference(resolve,[$cnf( $equal(or(or(a,b),Z),or(a,or(b,Z))) )],[refute_0_3755,refute_0_15912]) ).
cnf(refute_0_15914,plain,
( or(b,or(t4,Z)) != or(a,or(t4,Z))
| or(b,or(t4,Z)) != or(carry,or(t4,Z))
| or(a,or(t4,Z)) = or(carry,or(t4,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(b,or(t4,Z)),or(carry,or(t4,Z))) ),[0],$fot(or(a,or(t4,Z)))]]) ).
cnf(refute_0_15915,plain,
( or(b,or(t4,Z)) != or(carry,or(t4,Z))
| or(a,or(t4,Z)) = or(carry,or(t4,Z)) ),
inference(resolve,[$cnf( $equal(or(b,or(t4,Z)),or(a,or(t4,Z))) )],[refute_0_15900,refute_0_15914]) ).
cnf(refute_0_15916,plain,
or(a,or(t4,Z)) = or(carry,or(t4,Z)),
inference(resolve,[$cnf( $equal(or(b,or(t4,Z)),or(carry,or(t4,Z))) )],[refute_0_15878,refute_0_15915]) ).
cnf(refute_0_15917,plain,
( or(a,or(t4,Z)) != or(carry,or(t4,Z))
| or(carry,or(t4,Z)) = or(a,or(t4,Z)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(a,or(t4,Z)))),bind(Y0,$fot(or(carry,or(t4,Z))))]]) ).
cnf(refute_0_15918,plain,
or(carry,or(t4,Z)) = or(a,or(t4,Z)),
inference(resolve,[$cnf( $equal(or(a,or(t4,Z)),or(carry,or(t4,Z))) )],[refute_0_15916,refute_0_15917]) ).
cnf(refute_0_15919,plain,
( or(a,or(b,Z)) != or(carry,or(t4,Z))
| or(carry,or(t4,Z)) != or(a,or(t4,Z))
| or(a,or(b,Z)) = or(a,or(t4,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(a,or(b,Z)),or(a,or(t4,Z))) ),[0],$fot(or(carry,or(t4,Z)))]]) ).
cnf(refute_0_15920,plain,
( or(a,or(b,Z)) != or(carry,or(t4,Z))
| or(a,or(b,Z)) = or(a,or(t4,Z)) ),
inference(resolve,[$cnf( $equal(or(carry,or(t4,Z)),or(a,or(t4,Z))) )],[refute_0_15918,refute_0_15919]) ).
cnf(refute_0_15921,plain,
( or(or(a,b),Z) != or(carry,or(t4,Z))
| or(a,or(b,Z)) = or(a,or(t4,Z)) ),
inference(resolve,[$cnf( $equal(or(a,or(b,Z)),or(carry,or(t4,Z))) )],[refute_0_15913,refute_0_15920]) ).
cnf(refute_0_15922,plain,
or(a,or(b,Z)) = or(a,or(t4,Z)),
inference(resolve,[$cnf( $equal(or(or(a,b),Z),or(carry,or(t4,Z))) )],[refute_0_15911,refute_0_15921]) ).
cnf(refute_0_15923,plain,
( or(a,or(b,Z)) != or(a,or(t4,Z))
| or(a,or(t4,Z)) = or(a,or(b,Z)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(a,or(b,Z)))),bind(Y0,$fot(or(a,or(t4,Z))))]]) ).
cnf(refute_0_15924,plain,
or(a,or(t4,Z)) = or(a,or(b,Z)),
inference(resolve,[$cnf( $equal(or(a,or(b,Z)),or(a,or(t4,Z))) )],[refute_0_15922,refute_0_15923]) ).
cnf(refute_0_15925,plain,
( or(a,or(t4,Z)) != or(a,or(b,Z))
| or(a,or(t4,Z)) != or(carry,or(not(t6),Z))
| or(a,or(b,Z)) = or(carry,or(not(t6),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(a,or(t4,Z)),or(carry,or(not(t6),Z))) ),[0],$fot(or(a,or(b,Z)))]]) ).
cnf(refute_0_15926,plain,
( or(a,or(t4,Z)) != or(carry,or(not(t6),Z))
| or(a,or(b,Z)) = or(carry,or(not(t6),Z)) ),
inference(resolve,[$cnf( $equal(or(a,or(t4,Z)),or(a,or(b,Z))) )],[refute_0_15924,refute_0_15925]) ).
cnf(refute_0_15927,plain,
or(a,or(b,Z)) = or(carry,or(not(t6),Z)),
inference(resolve,[$cnf( $equal(or(a,or(t4,Z)),or(carry,or(not(t6),Z))) )],[refute_0_15903,refute_0_15926]) ).
cnf(refute_0_15928,plain,
( or(a,or(b,Z)) != or(carry,or(not(t6),Z))
| or(carry,or(not(t6),Z)) = or(a,or(b,Z)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(a,or(b,Z)))),bind(Y0,$fot(or(carry,or(not(t6),Z))))]]) ).
cnf(refute_0_15929,plain,
or(carry,or(not(t6),Z)) = or(a,or(b,Z)),
inference(resolve,[$cnf( $equal(or(a,or(b,Z)),or(carry,or(not(t6),Z))) )],[refute_0_15927,refute_0_15928]) ).
cnf(refute_0_15930,plain,
or(carry,or(not(t6),cin)) = or(a,or(b,cin)),
inference(subst,[],[refute_0_15929:[bind(Z,$fot(cin))]]) ).
cnf(refute_0_15931,plain,
or(not(t6),or(carry,cin)) = or(carry,or(not(t6),cin)),
inference(subst,[],[refute_0_267:[bind(X_37,$fot(not(t6))),bind(X_38,$fot(carry)),bind(X_39,$fot(cin))]]) ).
cnf(refute_0_15932,plain,
( or(carry,or(not(t6),cin)) != or(a,or(b,cin))
| or(not(t6),or(carry,cin)) != or(carry,or(not(t6),cin))
| or(not(t6),or(carry,cin)) = or(a,or(b,cin)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t6),or(carry,cin)))),bind(Y0,$fot(or(carry,or(not(t6),cin)))),bind(Z0,$fot(or(a,or(b,cin))))]]) ).
cnf(refute_0_15933,plain,
( or(carry,or(not(t6),cin)) != or(a,or(b,cin))
| or(not(t6),or(carry,cin)) = or(a,or(b,cin)) ),
inference(resolve,[$cnf( $equal(or(not(t6),or(carry,cin)),or(carry,or(not(t6),cin))) )],[refute_0_15931,refute_0_15932]) ).
cnf(refute_0_15934,plain,
or(not(t6),or(carry,cin)) = or(a,or(b,cin)),
inference(resolve,[$cnf( $equal(or(carry,or(not(t6),cin)),or(a,or(b,cin))) )],[refute_0_15930,refute_0_15933]) ).
cnf(refute_0_15935,plain,
not(and(t6,not(or(carry,cin)))) = or(not(t6),or(carry,cin)),
inference(subst,[],[refute_0_435:[bind(X_29,$fot(t6)),bind(X_30,$fot(or(carry,cin)))]]) ).
cnf(refute_0_15936,plain,
( not(and(t6,not(or(carry,cin)))) != or(not(t6),or(carry,cin))
| or(not(t6),or(carry,cin)) != or(a,or(b,cin))
| not(and(t6,not(or(carry,cin)))) = or(a,or(b,cin)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(t6,not(or(carry,cin)))))),bind(Y0,$fot(or(not(t6),or(carry,cin)))),bind(Z0,$fot(or(a,or(b,cin))))]]) ).
cnf(refute_0_15937,plain,
( or(not(t6),or(carry,cin)) != or(a,or(b,cin))
| not(and(t6,not(or(carry,cin)))) = or(a,or(b,cin)) ),
inference(resolve,[$cnf( $equal(not(and(t6,not(or(carry,cin)))),or(not(t6),or(carry,cin))) )],[refute_0_15935,refute_0_15936]) ).
cnf(refute_0_15938,plain,
not(and(t6,not(or(carry,cin)))) = or(a,or(b,cin)),
inference(resolve,[$cnf( $equal(or(not(t6),or(carry,cin)),or(a,or(b,cin))) )],[refute_0_15934,refute_0_15937]) ).
cnf(refute_0_15939,plain,
or(not(t6),not(not(or(carry,cin)))) = not(and(t6,not(or(carry,cin)))),
inference(subst,[],[refute_0_147:[bind(X,$fot(t6)),bind(Y,$fot(not(or(carry,cin))))]]) ).
cnf(refute_0_15940,plain,
( not(and(t6,not(or(carry,cin)))) != or(a,or(b,cin))
| or(not(t6),not(not(or(carry,cin)))) != not(and(t6,not(or(carry,cin))))
| or(not(t6),not(not(or(carry,cin)))) = or(a,or(b,cin)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t6),not(not(or(carry,cin)))))),bind(Y0,$fot(not(and(t6,not(or(carry,cin)))))),bind(Z0,$fot(or(a,or(b,cin))))]]) ).
cnf(refute_0_15941,plain,
( not(and(t6,not(or(carry,cin)))) != or(a,or(b,cin))
| or(not(t6),not(not(or(carry,cin)))) = or(a,or(b,cin)) ),
inference(resolve,[$cnf( $equal(or(not(t6),not(not(or(carry,cin)))),not(and(t6,not(or(carry,cin))))) )],[refute_0_15939,refute_0_15940]) ).
cnf(refute_0_15942,plain,
or(not(t6),not(not(or(carry,cin)))) = or(a,or(b,cin)),
inference(resolve,[$cnf( $equal(not(and(t6,not(or(carry,cin)))),or(a,or(b,cin))) )],[refute_0_15938,refute_0_15941]) ).
cnf(refute_0_15943,plain,
( or(carry,sum) != or(not(t6),not(not(or(carry,cin))))
| or(not(t6),not(not(or(carry,cin)))) != or(a,or(b,cin))
| or(carry,sum) = or(a,or(b,cin)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(carry,sum),or(a,or(b,cin))) ),[0],$fot(or(not(t6),not(not(or(carry,cin)))))]]) ).
cnf(refute_0_15944,plain,
( or(carry,sum) != or(not(t6),not(not(or(carry,cin))))
| or(carry,sum) = or(a,or(b,cin)) ),
inference(resolve,[$cnf( $equal(or(not(t6),not(not(or(carry,cin)))),or(a,or(b,cin))) )],[refute_0_15942,refute_0_15943]) ).
cnf(refute_0_15945,plain,
( not(not(or(carry,sum))) != or(not(t6),not(not(or(carry,cin))))
| or(carry,sum) = or(a,or(b,cin)) ),
inference(resolve,[$cnf( $equal(or(carry,sum),or(not(t6),not(not(or(carry,cin))))) )],[refute_0_15852,refute_0_15944]) ).
cnf(refute_0_15946,plain,
or(carry,sum) = or(a,or(b,cin)),
inference(resolve,[$cnf( $equal(not(not(or(carry,sum))),or(not(t6),not(not(or(carry,cin))))) )],[refute_0_15849,refute_0_15945]) ).
cnf(refute_0_15947,plain,
( or(carry,sum) != or(a,or(b,cin))
| or(a,or(b,cin)) = or(carry,sum) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(carry,sum))),bind(Y0,$fot(or(a,or(b,cin))))]]) ).
cnf(refute_0_15948,plain,
or(a,or(b,cin)) = or(carry,sum),
inference(resolve,[$cnf( $equal(or(carry,sum),or(a,or(b,cin))) )],[refute_0_15946,refute_0_15947]) ).
cnf(refute_0_15949,plain,
( or(a,or(b,cin)) != or(carry,sum)
| or(carry,or(not(t6),cin)) != or(a,or(b,cin))
| or(carry,or(not(t6),cin)) = or(carry,sum) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(carry,or(not(t6),cin)))),bind(Y0,$fot(or(a,or(b,cin)))),bind(Z0,$fot(or(carry,sum)))]]) ).
cnf(refute_0_15950,plain,
( or(a,or(b,cin)) != or(carry,sum)
| or(carry,or(not(t6),cin)) = or(carry,sum) ),
inference(resolve,[$cnf( $equal(or(carry,or(not(t6),cin)),or(a,or(b,cin))) )],[refute_0_15930,refute_0_15949]) ).
cnf(refute_0_15951,plain,
or(carry,or(not(t6),cin)) = or(carry,sum),
inference(resolve,[$cnf( $equal(or(a,or(b,cin)),or(carry,sum)) )],[refute_0_15948,refute_0_15950]) ).
cnf(refute_0_15952,plain,
( or(carry,or(not(t6),cin)) != or(carry,sum)
| or(not(t6),or(carry,cin)) != or(carry,or(not(t6),cin))
| or(not(t6),or(carry,cin)) = or(carry,sum) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t6),or(carry,cin)))),bind(Y0,$fot(or(carry,or(not(t6),cin)))),bind(Z0,$fot(or(carry,sum)))]]) ).
cnf(refute_0_15953,plain,
( or(carry,or(not(t6),cin)) != or(carry,sum)
| or(not(t6),or(carry,cin)) = or(carry,sum) ),
inference(resolve,[$cnf( $equal(or(not(t6),or(carry,cin)),or(carry,or(not(t6),cin))) )],[refute_0_15931,refute_0_15952]) ).
cnf(refute_0_15954,plain,
or(not(t6),or(carry,cin)) = or(carry,sum),
inference(resolve,[$cnf( $equal(or(carry,or(not(t6),cin)),or(carry,sum)) )],[refute_0_15951,refute_0_15953]) ).
cnf(refute_0_15955,plain,
and(t5,or(not(t6),or(carry,cin))) = and(t5,or(not(t6),or(carry,cin))),
introduced(tautology,[refl,[$fot(and(t5,or(not(t6),or(carry,cin))))]]) ).
cnf(refute_0_15956,plain,
( and(t5,or(not(t6),or(carry,cin))) != and(t5,or(not(t6),or(carry,cin)))
| or(not(t6),or(carry,cin)) != or(carry,sum)
| and(t5,or(not(t6),or(carry,cin))) = and(t5,or(carry,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,or(not(t6),or(carry,cin))),and(t5,or(not(t6),or(carry,cin)))) ),[1,1],$fot(or(carry,sum))]]) ).
cnf(refute_0_15957,plain,
( or(not(t6),or(carry,cin)) != or(carry,sum)
| and(t5,or(not(t6),or(carry,cin))) = and(t5,or(carry,sum)) ),
inference(resolve,[$cnf( $equal(and(t5,or(not(t6),or(carry,cin))),and(t5,or(not(t6),or(carry,cin)))) )],[refute_0_15955,refute_0_15956]) ).
cnf(refute_0_15958,plain,
and(t5,or(not(t6),or(carry,cin))) = and(t5,or(carry,sum)),
inference(resolve,[$cnf( $equal(or(not(t6),or(carry,cin)),or(carry,sum)) )],[refute_0_15954,refute_0_15957]) ).
cnf(refute_0_15959,plain,
and(t5,or(or(carry,cin),not(t6))) = and(t5,or(not(t6),or(carry,cin))),
inference(subst,[],[refute_0_13680:[bind(X_752,$fot(t5)),bind(X_753,$fot(or(carry,cin))),bind(X_754,$fot(not(t6)))]]) ).
cnf(refute_0_15960,plain,
and(t5,or(X_753,not(t6))) = or(and(t5,X_753),and(t5,not(t6))),
inference(subst,[],[or_distributive:[bind(X,$fot(t5)),bind(Y,$fot(X_753)),bind(Z,$fot(not(t6)))]]) ).
cnf(refute_0_15961,plain,
( and(t5,not(t6)) != not(t6)
| and(t5,or(X_753,not(t6))) != or(and(t5,X_753),and(t5,not(t6)))
| and(t5,or(X_753,not(t6))) = or(and(t5,X_753),not(t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,or(X_753,not(t6))),or(and(t5,X_753),and(t5,not(t6)))) ),[1,1],$fot(not(t6))]]) ).
cnf(refute_0_15962,plain,
( and(t5,or(X_753,not(t6))) != or(and(t5,X_753),and(t5,not(t6)))
| and(t5,or(X_753,not(t6))) = or(and(t5,X_753),not(t6)) ),
inference(resolve,[$cnf( $equal(and(t5,not(t6)),not(t6)) )],[refute_0_2003,refute_0_15961]) ).
cnf(refute_0_15963,plain,
and(t5,or(X_753,not(t6))) = or(and(t5,X_753),not(t6)),
inference(resolve,[$cnf( $equal(and(t5,or(X_753,not(t6))),or(and(t5,X_753),and(t5,not(t6)))) )],[refute_0_15960,refute_0_15962]) ).
cnf(refute_0_15964,plain,
or(and(t5,X_753),not(t6)) = or(not(t6),and(t5,X_753)),
inference(subst,[],[refute_0_5:[bind(X,$fot(not(t6))),bind(Y,$fot(and(t5,X_753)))]]) ).
cnf(refute_0_15965,plain,
( and(t5,or(X_753,not(t6))) != or(and(t5,X_753),not(t6))
| or(and(t5,X_753),not(t6)) != or(not(t6),and(t5,X_753))
| and(t5,or(X_753,not(t6))) = or(not(t6),and(t5,X_753)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t5,or(X_753,not(t6))),or(not(t6),and(t5,X_753))) ),[0],$fot(or(and(t5,X_753),not(t6)))]]) ).
cnf(refute_0_15966,plain,
( and(t5,or(X_753,not(t6))) != or(and(t5,X_753),not(t6))
| and(t5,or(X_753,not(t6))) = or(not(t6),and(t5,X_753)) ),
inference(resolve,[$cnf( $equal(or(and(t5,X_753),not(t6)),or(not(t6),and(t5,X_753))) )],[refute_0_15964,refute_0_15965]) ).
cnf(refute_0_15967,plain,
and(t5,or(X_753,not(t6))) = or(not(t6),and(t5,X_753)),
inference(resolve,[$cnf( $equal(and(t5,or(X_753,not(t6))),or(and(t5,X_753),not(t6))) )],[refute_0_15963,refute_0_15966]) ).
cnf(refute_0_15968,plain,
( and(t5,or(X_753,not(t6))) != or(not(t6),and(t5,X_753))
| or(not(t6),and(t5,X_753)) = and(t5,or(X_753,not(t6))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t5,or(X_753,not(t6))))),bind(Y0,$fot(or(not(t6),and(t5,X_753))))]]) ).
cnf(refute_0_15969,plain,
or(not(t6),and(t5,X_753)) = and(t5,or(X_753,not(t6))),
inference(resolve,[$cnf( $equal(and(t5,or(X_753,not(t6))),or(not(t6),and(t5,X_753))) )],[refute_0_15967,refute_0_15968]) ).
cnf(refute_0_15970,plain,
or(not(t6),and(t5,or(carry,cin))) = and(t5,or(or(carry,cin),not(t6))),
inference(subst,[],[refute_0_15969:[bind(X_753,$fot(or(carry,cin)))]]) ).
cnf(refute_0_15971,plain,
( and(t5,or(or(carry,cin),not(t6))) != and(t5,or(not(t6),or(carry,cin)))
| or(not(t6),and(t5,or(carry,cin))) != and(t5,or(or(carry,cin),not(t6)))
| or(not(t6),and(t5,or(carry,cin))) = and(t5,or(not(t6),or(carry,cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t6),and(t5,or(carry,cin))))),bind(Y0,$fot(and(t5,or(or(carry,cin),not(t6))))),bind(Z0,$fot(and(t5,or(not(t6),or(carry,cin)))))]]) ).
cnf(refute_0_15972,plain,
( and(t5,or(or(carry,cin),not(t6))) != and(t5,or(not(t6),or(carry,cin)))
| or(not(t6),and(t5,or(carry,cin))) = and(t5,or(not(t6),or(carry,cin))) ),
inference(resolve,[$cnf( $equal(or(not(t6),and(t5,or(carry,cin))),and(t5,or(or(carry,cin),not(t6)))) )],[refute_0_15970,refute_0_15971]) ).
cnf(refute_0_15973,plain,
or(not(t6),and(t5,or(carry,cin))) = and(t5,or(not(t6),or(carry,cin))),
inference(resolve,[$cnf( $equal(and(t5,or(or(carry,cin),not(t6))),and(t5,or(not(t6),or(carry,cin)))) )],[refute_0_15959,refute_0_15972]) ).
cnf(refute_0_15974,plain,
( and(t5,or(not(t6),or(carry,cin))) != and(t5,or(carry,sum))
| or(not(t6),and(t5,or(carry,cin))) != and(t5,or(not(t6),or(carry,cin)))
| or(not(t6),and(t5,or(carry,cin))) = and(t5,or(carry,sum)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t6),and(t5,or(carry,cin))))),bind(Y0,$fot(and(t5,or(not(t6),or(carry,cin))))),bind(Z0,$fot(and(t5,or(carry,sum))))]]) ).
cnf(refute_0_15975,plain,
( and(t5,or(not(t6),or(carry,cin))) != and(t5,or(carry,sum))
| or(not(t6),and(t5,or(carry,cin))) = and(t5,or(carry,sum)) ),
inference(resolve,[$cnf( $equal(or(not(t6),and(t5,or(carry,cin))),and(t5,or(not(t6),or(carry,cin)))) )],[refute_0_15973,refute_0_15974]) ).
cnf(refute_0_15976,plain,
or(not(t6),and(t5,or(carry,cin))) = and(t5,or(carry,sum)),
inference(resolve,[$cnf( $equal(and(t5,or(not(t6),or(carry,cin))),and(t5,or(carry,sum))) )],[refute_0_15958,refute_0_15975]) ).
cnf(refute_0_15977,plain,
or(and(t5,or(carry,cin)),not(t6)) = or(not(t6),and(t5,or(carry,cin))),
inference(subst,[],[refute_0_5:[bind(X,$fot(not(t6))),bind(Y,$fot(and(t5,or(carry,cin))))]]) ).
cnf(refute_0_15978,plain,
( or(and(t5,or(carry,cin)),not(t6)) != or(not(t6),and(t5,or(carry,cin)))
| or(not(t6),and(t5,or(carry,cin))) != and(t5,or(carry,sum))
| or(and(t5,or(carry,cin)),not(t6)) = and(t5,or(carry,sum)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(t5,or(carry,cin)),not(t6)))),bind(Y0,$fot(or(not(t6),and(t5,or(carry,cin))))),bind(Z0,$fot(and(t5,or(carry,sum))))]]) ).
cnf(refute_0_15979,plain,
( or(not(t6),and(t5,or(carry,cin))) != and(t5,or(carry,sum))
| or(and(t5,or(carry,cin)),not(t6)) = and(t5,or(carry,sum)) ),
inference(resolve,[$cnf( $equal(or(and(t5,or(carry,cin)),not(t6)),or(not(t6),and(t5,or(carry,cin)))) )],[refute_0_15977,refute_0_15978]) ).
cnf(refute_0_15980,plain,
or(and(t5,or(carry,cin)),not(t6)) = and(t5,or(carry,sum)),
inference(resolve,[$cnf( $equal(or(not(t6),and(t5,or(carry,cin))),and(t5,or(carry,sum))) )],[refute_0_15976,refute_0_15979]) ).
cnf(refute_0_15981,plain,
not(or(cin,t6)) = not(or(cin,t6)),
introduced(tautology,[refl,[$fot(not(or(cin,t6)))]]) ).
cnf(refute_0_15982,plain,
( not(or(cin,t6)) != not(or(cin,t6))
| or(cin,t6) != t6
| not(or(cin,t6)) = not(t6) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(cin,t6)),not(or(cin,t6))) ),[1,0],$fot(t6)]]) ).
cnf(refute_0_15983,plain,
( or(cin,t6) != t6
| not(or(cin,t6)) = not(t6) ),
inference(resolve,[$cnf( $equal(not(or(cin,t6)),not(or(cin,t6))) )],[refute_0_15981,refute_0_15982]) ).
cnf(refute_0_15984,plain,
not(or(cin,t6)) = not(t6),
inference(resolve,[$cnf( $equal(or(cin,t6),t6) )],[refute_0_5492,refute_0_15983]) ).
cnf(refute_0_15985,plain,
( not(or(cin,t6)) != and(t4,not(cin))
| not(or(cin,t6)) != not(t6)
| not(t6) = and(t4,not(cin)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(cin,t6)),and(t4,not(cin))) ),[0],$fot(not(t6))]]) ).
cnf(refute_0_15986,plain,
( not(or(cin,t6)) != and(t4,not(cin))
| not(t6) = and(t4,not(cin)) ),
inference(resolve,[$cnf( $equal(not(or(cin,t6)),not(t6)) )],[refute_0_15984,refute_0_15985]) ).
cnf(refute_0_15987,plain,
not(t6) = and(t4,not(cin)),
inference(resolve,[$cnf( $equal(not(or(cin,t6)),and(t4,not(cin))) )],[refute_0_5465,refute_0_15986]) ).
cnf(refute_0_15988,plain,
( not(t6) != and(t4,not(cin))
| and(t4,not(cin)) = not(t6) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t6))),bind(Y0,$fot(and(t4,not(cin))))]]) ).
cnf(refute_0_15989,plain,
and(t4,not(cin)) = not(t6),
inference(resolve,[$cnf( $equal(not(t6),and(t4,not(cin))) )],[refute_0_15987,refute_0_15988]) ).
cnf(refute_0_15990,plain,
and(and(t1,t4),Z) = and(t1,and(t4,Z)),
inference(subst,[],[and_associative:[bind(X,$fot(t1)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_15991,plain,
( and(and(t1,t4),Z) != and(t1,and(t4,Z))
| and(t1,t4) != t4
| and(t4,Z) = and(t1,and(t4,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t1,t4),Z),and(t1,and(t4,Z))) ),[0,0],$fot(t4)]]) ).
cnf(refute_0_15992,plain,
( and(and(t1,t4),Z) != and(t1,and(t4,Z))
| and(t4,Z) = and(t1,and(t4,Z)) ),
inference(resolve,[$cnf( $equal(and(t1,t4),t4) )],[refute_0_12121,refute_0_15991]) ).
cnf(refute_0_15993,plain,
and(t4,Z) = and(t1,and(t4,Z)),
inference(resolve,[$cnf( $equal(and(and(t1,t4),Z),and(t1,and(t4,Z))) )],[refute_0_15990,refute_0_15992]) ).
cnf(refute_0_15994,plain,
( and(t4,Z) != and(t1,and(t4,Z))
| and(t1,and(t4,Z)) = and(t4,Z) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t4,Z))),bind(Y0,$fot(and(t1,and(t4,Z))))]]) ).
cnf(refute_0_15995,plain,
and(t1,and(t4,Z)) = and(t4,Z),
inference(resolve,[$cnf( $equal(and(t4,Z),and(t1,and(t4,Z))) )],[refute_0_15993,refute_0_15994]) ).
cnf(refute_0_15996,plain,
and(t1,and(t4,not(cin))) = and(t4,not(cin)),
inference(subst,[],[refute_0_15995:[bind(Z,$fot(not(cin)))]]) ).
cnf(refute_0_15997,plain,
( and(t1,and(t4,not(cin))) != and(t4,not(cin))
| and(t4,not(cin)) != not(t6)
| and(t1,and(t4,not(cin))) = not(t6) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t1,and(t4,not(cin))))),bind(Y0,$fot(and(t4,not(cin)))),bind(Z0,$fot(not(t6)))]]) ).
cnf(refute_0_15998,plain,
( and(t4,not(cin)) != not(t6)
| and(t1,and(t4,not(cin))) = not(t6) ),
inference(resolve,[$cnf( $equal(and(t1,and(t4,not(cin))),and(t4,not(cin))) )],[refute_0_15996,refute_0_15997]) ).
cnf(refute_0_15999,plain,
and(t1,and(t4,not(cin))) = not(t6),
inference(resolve,[$cnf( $equal(and(t4,not(cin)),not(t6)) )],[refute_0_15989,refute_0_15998]) ).
cnf(refute_0_16000,plain,
and(and(X_708,and(X_709,not(cin))),or(t5,and(X_708,and(X_709,not(cin))))) = and(X_708,and(X_709,not(cin))),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(and(X_708,and(X_709,not(cin))))),bind(X_20,$fot(t5))]]) ).
cnf(refute_0_16001,plain,
or(t5,and(X_14,not(cin))) = or(t5,or(not(cin),and(X_14,not(cin)))),
inference(subst,[],[refute_0_2295:[bind(X_39,$fot(and(X_14,not(cin))))]]) ).
cnf(refute_0_16002,plain,
or(not(cin),and(X_14,not(cin))) = not(cin),
inference(subst,[],[refute_0_222:[bind(X_13,$fot(not(cin)))]]) ).
cnf(refute_0_16003,plain,
( or(not(cin),and(X_14,not(cin))) != not(cin)
| or(t5,and(X_14,not(cin))) != or(t5,or(not(cin),and(X_14,not(cin))))
| or(t5,and(X_14,not(cin))) = or(t5,not(cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,and(X_14,not(cin))),or(t5,or(not(cin),and(X_14,not(cin))))) ),[1,1],$fot(not(cin))]]) ).
cnf(refute_0_16004,plain,
( or(t5,and(X_14,not(cin))) != or(t5,or(not(cin),and(X_14,not(cin))))
| or(t5,and(X_14,not(cin))) = or(t5,not(cin)) ),
inference(resolve,[$cnf( $equal(or(not(cin),and(X_14,not(cin))),not(cin)) )],[refute_0_16002,refute_0_16003]) ).
cnf(refute_0_16005,plain,
or(t5,and(X_14,not(cin))) = or(t5,not(cin)),
inference(resolve,[$cnf( $equal(or(t5,and(X_14,not(cin))),or(t5,or(not(cin),and(X_14,not(cin))))) )],[refute_0_16001,refute_0_16004]) ).
cnf(refute_0_16006,plain,
( or(t5,and(X_14,not(cin))) != or(t5,not(cin))
| or(t5,not(cin)) != t5
| or(t5,and(X_14,not(cin))) = t5 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(t5,and(X_14,not(cin))),t5) ),[0],$fot(or(t5,not(cin)))]]) ).
cnf(refute_0_16007,plain,
( or(t5,and(X_14,not(cin))) != or(t5,not(cin))
| or(t5,and(X_14,not(cin))) = t5 ),
inference(resolve,[$cnf( $equal(or(t5,not(cin)),t5) )],[refute_0_2292,refute_0_16006]) ).
cnf(refute_0_16008,plain,
or(t5,and(X_14,not(cin))) = t5,
inference(resolve,[$cnf( $equal(or(t5,and(X_14,not(cin))),or(t5,not(cin))) )],[refute_0_16005,refute_0_16007]) ).
cnf(refute_0_16009,plain,
or(t5,and(and(X_220,X_221),not(cin))) = t5,
inference(subst,[],[refute_0_16008:[bind(X_14,$fot(and(X_220,X_221)))]]) ).
cnf(refute_0_16010,plain,
and(and(X_220,X_221),not(cin)) = and(X_220,and(X_221,not(cin))),
inference(subst,[],[and_associative:[bind(X,$fot(X_220)),bind(Y,$fot(X_221)),bind(Z,$fot(not(cin)))]]) ).
cnf(refute_0_16011,plain,
( and(and(X_220,X_221),not(cin)) != and(X_220,and(X_221,not(cin)))
| or(t5,and(and(X_220,X_221),not(cin))) != t5
| or(t5,and(X_220,and(X_221,not(cin)))) = t5 ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,and(and(X_220,X_221),not(cin))),t5) ),[0,1],$fot(and(X_220,and(X_221,not(cin))))]]) ).
cnf(refute_0_16012,plain,
( or(t5,and(and(X_220,X_221),not(cin))) != t5
| or(t5,and(X_220,and(X_221,not(cin)))) = t5 ),
inference(resolve,[$cnf( $equal(and(and(X_220,X_221),not(cin)),and(X_220,and(X_221,not(cin)))) )],[refute_0_16010,refute_0_16011]) ).
cnf(refute_0_16013,plain,
or(t5,and(X_220,and(X_221,not(cin)))) = t5,
inference(resolve,[$cnf( $equal(or(t5,and(and(X_220,X_221),not(cin))),t5) )],[refute_0_16009,refute_0_16012]) ).
cnf(refute_0_16014,plain,
or(t5,and(X_708,and(X_709,not(cin)))) = t5,
inference(subst,[],[refute_0_16013:[bind(X_220,$fot(X_708)),bind(X_221,$fot(X_709))]]) ).
cnf(refute_0_16015,plain,
( and(and(X_708,and(X_709,not(cin))),or(t5,and(X_708,and(X_709,not(cin))))) != and(X_708,and(X_709,not(cin)))
| or(t5,and(X_708,and(X_709,not(cin)))) != t5
| and(and(X_708,and(X_709,not(cin))),t5) = and(X_708,and(X_709,not(cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X_708,and(X_709,not(cin))),or(t5,and(X_708,and(X_709,not(cin))))),and(X_708,and(X_709,not(cin)))) ),[0,1],$fot(t5)]]) ).
cnf(refute_0_16016,plain,
( and(and(X_708,and(X_709,not(cin))),or(t5,and(X_708,and(X_709,not(cin))))) != and(X_708,and(X_709,not(cin)))
| and(and(X_708,and(X_709,not(cin))),t5) = and(X_708,and(X_709,not(cin))) ),
inference(resolve,[$cnf( $equal(or(t5,and(X_708,and(X_709,not(cin)))),t5) )],[refute_0_16014,refute_0_16015]) ).
cnf(refute_0_16017,plain,
and(and(X_708,and(X_709,not(cin))),t5) = and(X_708,and(X_709,not(cin))),
inference(resolve,[$cnf( $equal(and(and(X_708,and(X_709,not(cin))),or(t5,and(X_708,and(X_709,not(cin))))),and(X_708,and(X_709,not(cin)))) )],[refute_0_16000,refute_0_16016]) ).
cnf(refute_0_16018,plain,
and(t5,and(X_709,not(cin))) = and(not(cin),X_709),
inference(subst,[],[refute_0_4411:[bind(X_301,$fot(X_709))]]) ).
cnf(refute_0_16019,plain,
and(X_708,and(t5,and(X_709,not(cin)))) = and(X_708,and(t5,and(X_709,not(cin)))),
introduced(tautology,[refl,[$fot(and(X_708,and(t5,and(X_709,not(cin)))))]]) ).
cnf(refute_0_16020,plain,
( and(X_708,and(t5,and(X_709,not(cin)))) != and(X_708,and(t5,and(X_709,not(cin))))
| and(t5,and(X_709,not(cin))) != and(not(cin),X_709)
| and(X_708,and(t5,and(X_709,not(cin)))) = and(X_708,and(not(cin),X_709)) ),
introduced(tautology,[equality,[$cnf( $equal(and(X_708,and(t5,and(X_709,not(cin)))),and(X_708,and(t5,and(X_709,not(cin))))) ),[1,1],$fot(and(not(cin),X_709))]]) ).
cnf(refute_0_16021,plain,
( and(t5,and(X_709,not(cin))) != and(not(cin),X_709)
| and(X_708,and(t5,and(X_709,not(cin)))) = and(X_708,and(not(cin),X_709)) ),
inference(resolve,[$cnf( $equal(and(X_708,and(t5,and(X_709,not(cin)))),and(X_708,and(t5,and(X_709,not(cin))))) )],[refute_0_16019,refute_0_16020]) ).
cnf(refute_0_16022,plain,
and(X_708,and(t5,and(X_709,not(cin)))) = and(X_708,and(not(cin),X_709)),
inference(resolve,[$cnf( $equal(and(t5,and(X_709,not(cin))),and(not(cin),X_709)) )],[refute_0_16018,refute_0_16021]) ).
cnf(refute_0_16023,plain,
and(X_708,and(and(X_709,not(cin)),t5)) = and(X_708,and(t5,and(X_709,not(cin)))),
inference(subst,[],[refute_0_2637:[bind(X_220,$fot(X_708)),bind(X_221,$fot(t5)),bind(X_222,$fot(and(X_709,not(cin))))]]) ).
cnf(refute_0_16024,plain,
and(and(X_708,and(X_709,not(cin))),t5) = and(X_708,and(and(X_709,not(cin)),t5)),
inference(subst,[],[and_associative:[bind(X,$fot(X_708)),bind(Y,$fot(and(X_709,not(cin)))),bind(Z,$fot(t5))]]) ).
cnf(refute_0_16025,plain,
( and(X_708,and(and(X_709,not(cin)),t5)) != and(X_708,and(t5,and(X_709,not(cin))))
| and(and(X_708,and(X_709,not(cin))),t5) != and(X_708,and(and(X_709,not(cin)),t5))
| and(and(X_708,and(X_709,not(cin))),t5) = and(X_708,and(t5,and(X_709,not(cin)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(X_708,and(X_709,not(cin))),t5))),bind(Y0,$fot(and(X_708,and(and(X_709,not(cin)),t5)))),bind(Z0,$fot(and(X_708,and(t5,and(X_709,not(cin))))))]]) ).
cnf(refute_0_16026,plain,
( and(X_708,and(and(X_709,not(cin)),t5)) != and(X_708,and(t5,and(X_709,not(cin))))
| and(and(X_708,and(X_709,not(cin))),t5) = and(X_708,and(t5,and(X_709,not(cin)))) ),
inference(resolve,[$cnf( $equal(and(and(X_708,and(X_709,not(cin))),t5),and(X_708,and(and(X_709,not(cin)),t5))) )],[refute_0_16024,refute_0_16025]) ).
cnf(refute_0_16027,plain,
and(and(X_708,and(X_709,not(cin))),t5) = and(X_708,and(t5,and(X_709,not(cin)))),
inference(resolve,[$cnf( $equal(and(X_708,and(and(X_709,not(cin)),t5)),and(X_708,and(t5,and(X_709,not(cin))))) )],[refute_0_16023,refute_0_16026]) ).
cnf(refute_0_16028,plain,
( and(X_708,and(t5,and(X_709,not(cin)))) != and(X_708,and(not(cin),X_709))
| and(and(X_708,and(X_709,not(cin))),t5) != and(X_708,and(t5,and(X_709,not(cin))))
| and(and(X_708,and(X_709,not(cin))),t5) = and(X_708,and(not(cin),X_709)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(X_708,and(X_709,not(cin))),t5))),bind(Y0,$fot(and(X_708,and(t5,and(X_709,not(cin)))))),bind(Z0,$fot(and(X_708,and(not(cin),X_709))))]]) ).
cnf(refute_0_16029,plain,
( and(X_708,and(t5,and(X_709,not(cin)))) != and(X_708,and(not(cin),X_709))
| and(and(X_708,and(X_709,not(cin))),t5) = and(X_708,and(not(cin),X_709)) ),
inference(resolve,[$cnf( $equal(and(and(X_708,and(X_709,not(cin))),t5),and(X_708,and(t5,and(X_709,not(cin))))) )],[refute_0_16027,refute_0_16028]) ).
cnf(refute_0_16030,plain,
and(and(X_708,and(X_709,not(cin))),t5) = and(X_708,and(not(cin),X_709)),
inference(resolve,[$cnf( $equal(and(X_708,and(t5,and(X_709,not(cin)))),and(X_708,and(not(cin),X_709))) )],[refute_0_16022,refute_0_16029]) ).
cnf(refute_0_16031,plain,
( and(and(X_708,and(X_709,not(cin))),t5) != and(X_708,and(X_709,not(cin)))
| and(and(X_708,and(X_709,not(cin))),t5) != and(X_708,and(not(cin),X_709))
| and(X_708,and(not(cin),X_709)) = and(X_708,and(X_709,not(cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X_708,and(X_709,not(cin))),t5),and(X_708,and(X_709,not(cin)))) ),[0],$fot(and(X_708,and(not(cin),X_709)))]]) ).
cnf(refute_0_16032,plain,
( and(and(X_708,and(X_709,not(cin))),t5) != and(X_708,and(X_709,not(cin)))
| and(X_708,and(not(cin),X_709)) = and(X_708,and(X_709,not(cin))) ),
inference(resolve,[$cnf( $equal(and(and(X_708,and(X_709,not(cin))),t5),and(X_708,and(not(cin),X_709))) )],[refute_0_16030,refute_0_16031]) ).
cnf(refute_0_16033,plain,
and(X_708,and(not(cin),X_709)) = and(X_708,and(X_709,not(cin))),
inference(resolve,[$cnf( $equal(and(and(X_708,and(X_709,not(cin))),t5),and(X_708,and(X_709,not(cin)))) )],[refute_0_16017,refute_0_16032]) ).
cnf(refute_0_16034,plain,
and(t1,and(not(cin),t4)) = and(t1,and(t4,not(cin))),
inference(subst,[],[refute_0_16033:[bind(X_708,$fot(t1)),bind(X_709,$fot(t4))]]) ).
cnf(refute_0_16035,plain,
( and(t1,and(not(cin),t4)) != and(t1,and(t4,not(cin)))
| and(t1,and(t4,not(cin))) != not(t6)
| and(t1,and(not(cin),t4)) = not(t6) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t1,and(not(cin),t4)))),bind(Y0,$fot(and(t1,and(t4,not(cin))))),bind(Z0,$fot(not(t6)))]]) ).
cnf(refute_0_16036,plain,
( and(t1,and(t4,not(cin))) != not(t6)
| and(t1,and(not(cin),t4)) = not(t6) ),
inference(resolve,[$cnf( $equal(and(t1,and(not(cin),t4)),and(t1,and(t4,not(cin)))) )],[refute_0_16034,refute_0_16035]) ).
cnf(refute_0_16037,plain,
and(t1,and(not(cin),t4)) = not(t6),
inference(resolve,[$cnf( $equal(and(t1,and(t4,not(cin))),not(t6)) )],[refute_0_15999,refute_0_16036]) ).
cnf(refute_0_16038,plain,
and(and(X,t1),and(not(cin),xor(t1,or(carry,cin)))) = and(X,and(t1,and(not(cin),xor(t1,or(carry,cin))))),
inference(subst,[],[and_associative:[bind(Y,$fot(t1)),bind(Z,$fot(and(not(cin),xor(t1,or(carry,cin)))))]]) ).
cnf(refute_0_16039,plain,
and(xor(t1,or(carry,cin)),and(not(carry),xor(t1,or(carry,cin)))) = and(xor(t1,or(carry,cin)),not(carry)),
inference(subst,[],[refute_0_4181:[bind(Y,$fot(not(carry))),bind(X_22,$fot(xor(t1,or(carry,cin))))]]) ).
cnf(refute_0_16040,plain,
not(or(not(xor(t1,or(carry,cin))),carry)) = not(or(carry,not(xor(t1,or(carry,cin))))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(carry)),bind(X_26,$fot(not(xor(t1,or(carry,cin)))))]]) ).
cnf(refute_0_16041,plain,
or(carry,not(not(xor(carry,or(carry,cin))))) = or(carry,not(and(t5,not(xor(carry,or(carry,cin)))))),
inference(subst,[],[refute_0_11287:[bind(Y,$fot(not(xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_16042,plain,
( and(t5,not(xor(carry,or(carry,cin)))) != xor(t1,or(carry,cin))
| or(carry,not(not(xor(carry,or(carry,cin))))) != or(carry,not(and(t5,not(xor(carry,or(carry,cin))))))
| or(carry,not(not(xor(carry,or(carry,cin))))) = or(carry,not(xor(t1,or(carry,cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(not(xor(carry,or(carry,cin))))),or(carry,not(and(t5,not(xor(carry,or(carry,cin))))))) ),[1,1,0],$fot(xor(t1,or(carry,cin)))]]) ).
cnf(refute_0_16043,plain,
( or(carry,not(not(xor(carry,or(carry,cin))))) != or(carry,not(and(t5,not(xor(carry,or(carry,cin))))))
| or(carry,not(not(xor(carry,or(carry,cin))))) = or(carry,not(xor(t1,or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(carry,or(carry,cin)))),xor(t1,or(carry,cin))) )],[refute_0_11814,refute_0_16042]) ).
cnf(refute_0_16044,plain,
or(carry,not(not(xor(carry,or(carry,cin))))) = or(carry,not(xor(t1,or(carry,cin)))),
inference(resolve,[$cnf( $equal(or(carry,not(not(xor(carry,or(carry,cin))))),or(carry,not(and(t5,not(xor(carry,or(carry,cin))))))) )],[refute_0_16041,refute_0_16043]) ).
cnf(refute_0_16045,plain,
not(not(xor(carry,or(carry,cin)))) = xor(carry,or(carry,cin)),
inference(subst,[],[not_involution:[bind(X,$fot(xor(carry,or(carry,cin))))]]) ).
cnf(refute_0_16046,plain,
or(carry,not(not(xor(carry,or(carry,cin))))) = or(carry,not(not(xor(carry,or(carry,cin))))),
introduced(tautology,[refl,[$fot(or(carry,not(not(xor(carry,or(carry,cin))))))]]) ).
cnf(refute_0_16047,plain,
( not(not(xor(carry,or(carry,cin)))) != xor(carry,or(carry,cin))
| or(carry,not(not(xor(carry,or(carry,cin))))) != or(carry,not(not(xor(carry,or(carry,cin)))))
| or(carry,not(not(xor(carry,or(carry,cin))))) = or(carry,xor(carry,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(not(xor(carry,or(carry,cin))))),or(carry,not(not(xor(carry,or(carry,cin)))))) ),[1,1],$fot(xor(carry,or(carry,cin)))]]) ).
cnf(refute_0_16048,plain,
( not(not(xor(carry,or(carry,cin)))) != xor(carry,or(carry,cin))
| or(carry,not(not(xor(carry,or(carry,cin))))) = or(carry,xor(carry,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(or(carry,not(not(xor(carry,or(carry,cin))))),or(carry,not(not(xor(carry,or(carry,cin)))))) )],[refute_0_16046,refute_0_16047]) ).
cnf(refute_0_16049,plain,
or(carry,not(not(xor(carry,or(carry,cin))))) = or(carry,xor(carry,or(carry,cin))),
inference(resolve,[$cnf( $equal(not(not(xor(carry,or(carry,cin)))),xor(carry,or(carry,cin))) )],[refute_0_16045,refute_0_16048]) ).
cnf(refute_0_16050,plain,
( or(carry,not(not(xor(carry,or(carry,cin))))) != or(carry,not(xor(t1,or(carry,cin))))
| or(carry,not(not(xor(carry,or(carry,cin))))) != or(carry,xor(carry,or(carry,cin)))
| or(carry,xor(carry,or(carry,cin))) = or(carry,not(xor(t1,or(carry,cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(not(xor(carry,or(carry,cin))))),or(carry,not(xor(t1,or(carry,cin))))) ),[0],$fot(or(carry,xor(carry,or(carry,cin))))]]) ).
cnf(refute_0_16051,plain,
( or(carry,not(not(xor(carry,or(carry,cin))))) != or(carry,not(xor(t1,or(carry,cin))))
| or(carry,xor(carry,or(carry,cin))) = or(carry,not(xor(t1,or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(or(carry,not(not(xor(carry,or(carry,cin))))),or(carry,xor(carry,or(carry,cin)))) )],[refute_0_16049,refute_0_16050]) ).
cnf(refute_0_16052,plain,
or(carry,xor(carry,or(carry,cin))) = or(carry,not(xor(t1,or(carry,cin)))),
inference(resolve,[$cnf( $equal(or(carry,not(not(xor(carry,or(carry,cin))))),or(carry,not(xor(t1,or(carry,cin))))) )],[refute_0_16044,refute_0_16051]) ).
cnf(refute_0_16053,plain,
( or(carry,xor(carry,or(carry,cin))) != or(carry,not(xor(t1,or(carry,cin))))
| or(carry,not(xor(t1,or(carry,cin)))) = or(carry,xor(carry,or(carry,cin))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(carry,xor(carry,or(carry,cin))))),bind(Y0,$fot(or(carry,not(xor(t1,or(carry,cin))))))]]) ).
cnf(refute_0_16054,plain,
or(carry,not(xor(t1,or(carry,cin)))) = or(carry,xor(carry,or(carry,cin))),
inference(resolve,[$cnf( $equal(or(carry,xor(carry,or(carry,cin))),or(carry,not(xor(t1,or(carry,cin))))) )],[refute_0_16052,refute_0_16053]) ).
cnf(refute_0_16055,plain,
( not(or(not(xor(t1,or(carry,cin))),carry)) != not(or(carry,not(xor(t1,or(carry,cin)))))
| or(carry,not(xor(t1,or(carry,cin)))) != or(carry,xor(carry,or(carry,cin)))
| not(or(not(xor(t1,or(carry,cin))),carry)) = not(or(carry,xor(carry,or(carry,cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(xor(t1,or(carry,cin))),carry)),not(or(carry,not(xor(t1,or(carry,cin)))))) ),[1,0],$fot(or(carry,xor(carry,or(carry,cin))))]]) ).
cnf(refute_0_16056,plain,
( not(or(not(xor(t1,or(carry,cin))),carry)) != not(or(carry,not(xor(t1,or(carry,cin)))))
| not(or(not(xor(t1,or(carry,cin))),carry)) = not(or(carry,xor(carry,or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(or(carry,not(xor(t1,or(carry,cin)))),or(carry,xor(carry,or(carry,cin)))) )],[refute_0_16054,refute_0_16055]) ).
cnf(refute_0_16057,plain,
not(or(not(xor(t1,or(carry,cin))),carry)) = not(or(carry,xor(carry,or(carry,cin)))),
inference(resolve,[$cnf( $equal(not(or(not(xor(t1,or(carry,cin))),carry)),not(or(carry,not(xor(t1,or(carry,cin)))))) )],[refute_0_16040,refute_0_16056]) ).
cnf(refute_0_16058,plain,
and(xor(t1,or(carry,cin)),not(carry)) = and(not(carry),xor(t1,or(carry,cin))),
inference(subst,[],[refute_0_116:[bind(X,$fot(not(carry))),bind(Y,$fot(xor(t1,or(carry,cin))))]]) ).
cnf(refute_0_16059,plain,
not(or(not(xor(t1,or(carry,cin))),carry)) = and(xor(t1,or(carry,cin)),not(carry)),
inference(subst,[],[refute_0_159:[bind(X,$fot(xor(t1,or(carry,cin)))),bind(X_26,$fot(carry))]]) ).
cnf(refute_0_16060,plain,
( and(xor(t1,or(carry,cin)),not(carry)) != and(not(carry),xor(t1,or(carry,cin)))
| not(or(not(xor(t1,or(carry,cin))),carry)) != and(xor(t1,or(carry,cin)),not(carry))
| not(or(not(xor(t1,or(carry,cin))),carry)) = and(not(carry),xor(t1,or(carry,cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(not(xor(t1,or(carry,cin))),carry)))),bind(Y0,$fot(and(xor(t1,or(carry,cin)),not(carry)))),bind(Z0,$fot(and(not(carry),xor(t1,or(carry,cin)))))]]) ).
cnf(refute_0_16061,plain,
( and(xor(t1,or(carry,cin)),not(carry)) != and(not(carry),xor(t1,or(carry,cin)))
| not(or(not(xor(t1,or(carry,cin))),carry)) = and(not(carry),xor(t1,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(not(or(not(xor(t1,or(carry,cin))),carry)),and(xor(t1,or(carry,cin)),not(carry))) )],[refute_0_16059,refute_0_16060]) ).
cnf(refute_0_16062,plain,
not(or(not(xor(t1,or(carry,cin))),carry)) = and(not(carry),xor(t1,or(carry,cin))),
inference(resolve,[$cnf( $equal(and(xor(t1,or(carry,cin)),not(carry)),and(not(carry),xor(t1,or(carry,cin)))) )],[refute_0_16058,refute_0_16061]) ).
cnf(refute_0_16063,plain,
( not(or(not(xor(t1,or(carry,cin))),carry)) != and(not(carry),xor(t1,or(carry,cin)))
| not(or(not(xor(t1,or(carry,cin))),carry)) != not(or(carry,xor(carry,or(carry,cin))))
| and(not(carry),xor(t1,or(carry,cin))) = not(or(carry,xor(carry,or(carry,cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(xor(t1,or(carry,cin))),carry)),not(or(carry,xor(carry,or(carry,cin))))) ),[0],$fot(and(not(carry),xor(t1,or(carry,cin))))]]) ).
cnf(refute_0_16064,plain,
( not(or(not(xor(t1,or(carry,cin))),carry)) != not(or(carry,xor(carry,or(carry,cin))))
| and(not(carry),xor(t1,or(carry,cin))) = not(or(carry,xor(carry,or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(not(or(not(xor(t1,or(carry,cin))),carry)),and(not(carry),xor(t1,or(carry,cin)))) )],[refute_0_16062,refute_0_16063]) ).
cnf(refute_0_16065,plain,
and(not(carry),not(xor(carry,or(carry,cin)))) = and(t1,and(t5,not(xor(carry,or(carry,cin))))),
inference(subst,[],[refute_0_178:[bind(X_222,$fot(not(xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_16066,plain,
( and(not(carry),not(xor(carry,or(carry,cin)))) != and(t1,and(t5,not(xor(carry,or(carry,cin)))))
| and(t5,not(xor(carry,or(carry,cin)))) != xor(t1,or(carry,cin))
| and(not(carry),not(xor(carry,or(carry,cin)))) = and(t1,xor(t1,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),not(xor(carry,or(carry,cin)))),and(t1,and(t5,not(xor(carry,or(carry,cin)))))) ),[1,1],$fot(xor(t1,or(carry,cin)))]]) ).
cnf(refute_0_16067,plain,
( and(not(carry),not(xor(carry,or(carry,cin)))) != and(t1,and(t5,not(xor(carry,or(carry,cin)))))
| and(not(carry),not(xor(carry,or(carry,cin)))) = and(t1,xor(t1,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(carry,or(carry,cin)))),xor(t1,or(carry,cin))) )],[refute_0_11814,refute_0_16066]) ).
cnf(refute_0_16068,plain,
and(not(carry),not(xor(carry,or(carry,cin)))) = and(t1,xor(t1,or(carry,cin))),
inference(resolve,[$cnf( $equal(and(not(carry),not(xor(carry,or(carry,cin)))),and(t1,and(t5,not(xor(carry,or(carry,cin)))))) )],[refute_0_16065,refute_0_16067]) ).
cnf(refute_0_16069,plain,
and(not(carry),not(xor(carry,or(carry,cin)))) = not(or(carry,xor(carry,or(carry,cin)))),
inference(subst,[],[refute_0_101:[bind(X,$fot(carry)),bind(Y,$fot(xor(carry,or(carry,cin))))]]) ).
cnf(refute_0_16070,plain,
( and(not(carry),not(xor(carry,or(carry,cin)))) != and(t1,xor(t1,or(carry,cin)))
| and(not(carry),not(xor(carry,or(carry,cin)))) != not(or(carry,xor(carry,or(carry,cin))))
| not(or(carry,xor(carry,or(carry,cin)))) = and(t1,xor(t1,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),not(xor(carry,or(carry,cin)))),and(t1,xor(t1,or(carry,cin)))) ),[0],$fot(not(or(carry,xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_16071,plain,
( and(not(carry),not(xor(carry,or(carry,cin)))) != and(t1,xor(t1,or(carry,cin)))
| not(or(carry,xor(carry,or(carry,cin)))) = and(t1,xor(t1,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(not(carry),not(xor(carry,or(carry,cin)))),not(or(carry,xor(carry,or(carry,cin))))) )],[refute_0_16069,refute_0_16070]) ).
cnf(refute_0_16072,plain,
not(or(carry,xor(carry,or(carry,cin)))) = and(t1,xor(t1,or(carry,cin))),
inference(resolve,[$cnf( $equal(and(not(carry),not(xor(carry,or(carry,cin)))),and(t1,xor(t1,or(carry,cin)))) )],[refute_0_16068,refute_0_16071]) ).
cnf(refute_0_16073,plain,
( and(not(carry),xor(t1,or(carry,cin))) != not(or(carry,xor(carry,or(carry,cin))))
| not(or(carry,xor(carry,or(carry,cin)))) != and(t1,xor(t1,or(carry,cin)))
| and(not(carry),xor(t1,or(carry,cin))) = and(t1,xor(t1,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(carry),xor(t1,or(carry,cin))),and(t1,xor(t1,or(carry,cin)))) ),[0],$fot(not(or(carry,xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_16074,plain,
( and(not(carry),xor(t1,or(carry,cin))) != not(or(carry,xor(carry,or(carry,cin))))
| and(not(carry),xor(t1,or(carry,cin))) = and(t1,xor(t1,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(not(or(carry,xor(carry,or(carry,cin)))),and(t1,xor(t1,or(carry,cin)))) )],[refute_0_16072,refute_0_16073]) ).
cnf(refute_0_16075,plain,
( not(or(not(xor(t1,or(carry,cin))),carry)) != not(or(carry,xor(carry,or(carry,cin))))
| and(not(carry),xor(t1,or(carry,cin))) = and(t1,xor(t1,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(not(carry),xor(t1,or(carry,cin))),not(or(carry,xor(carry,or(carry,cin))))) )],[refute_0_16064,refute_0_16074]) ).
cnf(refute_0_16076,plain,
and(not(carry),xor(t1,or(carry,cin))) = and(t1,xor(t1,or(carry,cin))),
inference(resolve,[$cnf( $equal(not(or(not(xor(t1,or(carry,cin))),carry)),not(or(carry,xor(carry,or(carry,cin))))) )],[refute_0_16057,refute_0_16075]) ).
cnf(refute_0_16077,plain,
or(and(carry,not(xor(carry,or(carry,cin)))),and(not(carry),xor(carry,or(carry,cin)))) = xor(carry,xor(carry,or(carry,cin))),
inference(subst,[],[refute_0_9:[bind(X,$fot(carry)),bind(Y,$fot(xor(carry,or(carry,cin))))]]) ).
cnf(refute_0_16078,plain,
and(not(carry),and(or(carry,cin),not(carry))) = and(not(carry),or(carry,cin)),
inference(subst,[],[refute_0_4181:[bind(Y,$fot(or(carry,cin))),bind(X_22,$fot(not(carry)))]]) ).
cnf(refute_0_16079,plain,
and(not(carry),or(cin,and(carry,t5))) = and(not(carry),or(cin,and(carry,t5))),
introduced(tautology,[refl,[$fot(and(not(carry),or(cin,and(carry,t5))))]]) ).
cnf(refute_0_16080,plain,
( and(not(carry),or(cin,and(carry,t5))) != and(not(carry),or(cin,and(carry,t5)))
| or(cin,and(carry,t5)) != or(carry,cin)
| and(not(carry),or(cin,and(carry,t5))) = and(not(carry),or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),or(cin,and(carry,t5))),and(not(carry),or(cin,and(carry,t5)))) ),[1,1],$fot(or(carry,cin))]]) ).
cnf(refute_0_16081,plain,
( or(cin,and(carry,t5)) != or(carry,cin)
| and(not(carry),or(cin,and(carry,t5))) = and(not(carry),or(carry,cin)) ),
inference(resolve,[$cnf( $equal(and(not(carry),or(cin,and(carry,t5))),and(not(carry),or(cin,and(carry,t5)))) )],[refute_0_16079,refute_0_16080]) ).
cnf(refute_0_16082,plain,
and(not(carry),or(cin,and(carry,t5))) = and(not(carry),or(carry,cin)),
inference(resolve,[$cnf( $equal(or(cin,and(carry,t5)),or(carry,cin)) )],[refute_0_11764,refute_0_16081]) ).
cnf(refute_0_16083,plain,
( and(not(carry),or(cin,and(carry,t5))) != and(not(carry),or(carry,cin))
| and(not(carry),or(cin,and(carry,t5))) != xor(carry,or(cin,and(carry,t5)))
| and(not(carry),or(carry,cin)) = xor(carry,or(cin,and(carry,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),or(cin,and(carry,t5))),xor(carry,or(cin,and(carry,t5)))) ),[0],$fot(and(not(carry),or(carry,cin)))]]) ).
cnf(refute_0_16084,plain,
( and(not(carry),or(cin,and(carry,t5))) != xor(carry,or(cin,and(carry,t5)))
| and(not(carry),or(carry,cin)) = xor(carry,or(cin,and(carry,t5))) ),
inference(resolve,[$cnf( $equal(and(not(carry),or(cin,and(carry,t5))),and(not(carry),or(carry,cin))) )],[refute_0_16082,refute_0_16083]) ).
cnf(refute_0_16085,plain,
( and(not(carry),or(carry,cin)) != xor(carry,or(cin,and(carry,t5)))
| xor(carry,or(cin,and(carry,t5))) != xor(carry,or(carry,cin))
| and(not(carry),or(carry,cin)) = xor(carry,or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(carry),or(carry,cin)),xor(carry,or(carry,cin))) ),[0],$fot(xor(carry,or(cin,and(carry,t5))))]]) ).
cnf(refute_0_16086,plain,
( and(not(carry),or(carry,cin)) != xor(carry,or(cin,and(carry,t5)))
| and(not(carry),or(carry,cin)) = xor(carry,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(xor(carry,or(cin,and(carry,t5))),xor(carry,or(carry,cin))) )],[refute_0_11768,refute_0_16085]) ).
cnf(refute_0_16087,plain,
( and(not(carry),or(cin,and(carry,t5))) != xor(carry,or(cin,and(carry,t5)))
| and(not(carry),or(carry,cin)) = xor(carry,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(and(not(carry),or(carry,cin)),xor(carry,or(cin,and(carry,t5)))) )],[refute_0_16084,refute_0_16086]) ).
cnf(refute_0_16088,plain,
and(not(carry),or(carry,cin)) = xor(carry,or(carry,cin)),
inference(resolve,[$cnf( $equal(and(not(carry),or(cin,and(carry,t5))),xor(carry,or(cin,and(carry,t5)))) )],[refute_0_11729,refute_0_16087]) ).
cnf(refute_0_16089,plain,
( and(not(carry),and(or(carry,cin),not(carry))) != and(not(carry),or(carry,cin))
| and(not(carry),or(carry,cin)) != xor(carry,or(carry,cin))
| and(not(carry),and(or(carry,cin),not(carry))) = xor(carry,or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(carry),and(or(carry,cin),not(carry))),xor(carry,or(carry,cin))) ),[0],$fot(and(not(carry),or(carry,cin)))]]) ).
cnf(refute_0_16090,plain,
( and(not(carry),and(or(carry,cin),not(carry))) != and(not(carry),or(carry,cin))
| and(not(carry),and(or(carry,cin),not(carry))) = xor(carry,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(and(not(carry),or(carry,cin)),xor(carry,or(carry,cin))) )],[refute_0_16088,refute_0_16089]) ).
cnf(refute_0_16091,plain,
and(not(carry),and(or(carry,cin),not(carry))) = xor(carry,or(carry,cin)),
inference(resolve,[$cnf( $equal(and(not(carry),and(or(carry,cin),not(carry))),and(not(carry),or(carry,cin))) )],[refute_0_16078,refute_0_16090]) ).
cnf(refute_0_16092,plain,
and(xor(carry,or(carry,cin)),not(carry)) = and(not(carry),xor(carry,or(carry,cin))),
inference(subst,[],[refute_0_116:[bind(X,$fot(not(carry))),bind(Y,$fot(xor(carry,or(carry,cin))))]]) ).
cnf(refute_0_16093,plain,
and(and(not(carry),or(cin,and(carry,t5))),Z) = and(not(carry),and(or(cin,and(carry,t5)),Z)),
inference(subst,[],[and_associative:[bind(X,$fot(not(carry))),bind(Y,$fot(or(cin,and(carry,t5))))]]) ).
cnf(refute_0_16094,plain,
( and(and(not(carry),or(cin,and(carry,t5))),Z) != and(not(carry),and(or(cin,and(carry,t5)),Z))
| and(not(carry),or(cin,and(carry,t5))) != xor(carry,or(cin,and(carry,t5)))
| and(xor(carry,or(cin,and(carry,t5))),Z) = and(not(carry),and(or(cin,and(carry,t5)),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(not(carry),or(cin,and(carry,t5))),Z),and(not(carry),and(or(cin,and(carry,t5)),Z))) ),[0,0],$fot(xor(carry,or(cin,and(carry,t5))))]]) ).
cnf(refute_0_16095,plain,
( and(and(not(carry),or(cin,and(carry,t5))),Z) != and(not(carry),and(or(cin,and(carry,t5)),Z))
| and(xor(carry,or(cin,and(carry,t5))),Z) = and(not(carry),and(or(cin,and(carry,t5)),Z)) ),
inference(resolve,[$cnf( $equal(and(not(carry),or(cin,and(carry,t5))),xor(carry,or(cin,and(carry,t5)))) )],[refute_0_11729,refute_0_16094]) ).
cnf(refute_0_16096,plain,
and(xor(carry,or(cin,and(carry,t5))),Z) = and(not(carry),and(or(cin,and(carry,t5)),Z)),
inference(resolve,[$cnf( $equal(and(and(not(carry),or(cin,and(carry,t5))),Z),and(not(carry),and(or(cin,and(carry,t5)),Z))) )],[refute_0_16093,refute_0_16095]) ).
cnf(refute_0_16097,plain,
and(xor(carry,or(cin,and(carry,t5))),Z) = and(xor(carry,or(cin,and(carry,t5))),Z),
introduced(tautology,[refl,[$fot(and(xor(carry,or(cin,and(carry,t5))),Z))]]) ).
cnf(refute_0_16098,plain,
( and(xor(carry,or(cin,and(carry,t5))),Z) != and(xor(carry,or(cin,and(carry,t5))),Z)
| xor(carry,or(cin,and(carry,t5))) != xor(carry,or(carry,cin))
| and(xor(carry,or(cin,and(carry,t5))),Z) = and(xor(carry,or(carry,cin)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(carry,or(cin,and(carry,t5))),Z),and(xor(carry,or(cin,and(carry,t5))),Z)) ),[1,0],$fot(xor(carry,or(carry,cin)))]]) ).
cnf(refute_0_16099,plain,
( xor(carry,or(cin,and(carry,t5))) != xor(carry,or(carry,cin))
| and(xor(carry,or(cin,and(carry,t5))),Z) = and(xor(carry,or(carry,cin)),Z) ),
inference(resolve,[$cnf( $equal(and(xor(carry,or(cin,and(carry,t5))),Z),and(xor(carry,or(cin,and(carry,t5))),Z)) )],[refute_0_16097,refute_0_16098]) ).
cnf(refute_0_16100,plain,
and(xor(carry,or(cin,and(carry,t5))),Z) = and(xor(carry,or(carry,cin)),Z),
inference(resolve,[$cnf( $equal(xor(carry,or(cin,and(carry,t5))),xor(carry,or(carry,cin))) )],[refute_0_11768,refute_0_16099]) ).
cnf(refute_0_16101,plain,
( and(xor(carry,or(cin,and(carry,t5))),Z) != and(not(carry),and(or(cin,and(carry,t5)),Z))
| and(xor(carry,or(cin,and(carry,t5))),Z) != and(xor(carry,or(carry,cin)),Z)
| and(xor(carry,or(carry,cin)),Z) = and(not(carry),and(or(cin,and(carry,t5)),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(carry,or(cin,and(carry,t5))),Z),and(not(carry),and(or(cin,and(carry,t5)),Z))) ),[0],$fot(and(xor(carry,or(carry,cin)),Z))]]) ).
cnf(refute_0_16102,plain,
( and(xor(carry,or(cin,and(carry,t5))),Z) != and(not(carry),and(or(cin,and(carry,t5)),Z))
| and(xor(carry,or(carry,cin)),Z) = and(not(carry),and(or(cin,and(carry,t5)),Z)) ),
inference(resolve,[$cnf( $equal(and(xor(carry,or(cin,and(carry,t5))),Z),and(xor(carry,or(carry,cin)),Z)) )],[refute_0_16100,refute_0_16101]) ).
cnf(refute_0_16103,plain,
and(or(cin,and(carry,t5)),Z) = and(or(cin,and(carry,t5)),Z),
introduced(tautology,[refl,[$fot(and(or(cin,and(carry,t5)),Z))]]) ).
cnf(refute_0_16104,plain,
( and(or(cin,and(carry,t5)),Z) != and(or(cin,and(carry,t5)),Z)
| or(cin,and(carry,t5)) != or(carry,cin)
| and(or(cin,and(carry,t5)),Z) = and(or(carry,cin),Z) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(cin,and(carry,t5)),Z),and(or(cin,and(carry,t5)),Z)) ),[1,0],$fot(or(carry,cin))]]) ).
cnf(refute_0_16105,plain,
( or(cin,and(carry,t5)) != or(carry,cin)
| and(or(cin,and(carry,t5)),Z) = and(or(carry,cin),Z) ),
inference(resolve,[$cnf( $equal(and(or(cin,and(carry,t5)),Z),and(or(cin,and(carry,t5)),Z)) )],[refute_0_16103,refute_0_16104]) ).
cnf(refute_0_16106,plain,
and(or(cin,and(carry,t5)),Z) = and(or(carry,cin),Z),
inference(resolve,[$cnf( $equal(or(cin,and(carry,t5)),or(carry,cin)) )],[refute_0_11764,refute_0_16105]) ).
cnf(refute_0_16107,plain,
and(not(carry),and(or(cin,and(carry,t5)),Z)) = and(not(carry),and(or(cin,and(carry,t5)),Z)),
introduced(tautology,[refl,[$fot(and(not(carry),and(or(cin,and(carry,t5)),Z)))]]) ).
cnf(refute_0_16108,plain,
( and(not(carry),and(or(cin,and(carry,t5)),Z)) != and(not(carry),and(or(cin,and(carry,t5)),Z))
| and(or(cin,and(carry,t5)),Z) != and(or(carry,cin),Z)
| and(not(carry),and(or(cin,and(carry,t5)),Z)) = and(not(carry),and(or(carry,cin),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),and(or(cin,and(carry,t5)),Z)),and(not(carry),and(or(cin,and(carry,t5)),Z))) ),[1,1],$fot(and(or(carry,cin),Z))]]) ).
cnf(refute_0_16109,plain,
( and(or(cin,and(carry,t5)),Z) != and(or(carry,cin),Z)
| and(not(carry),and(or(cin,and(carry,t5)),Z)) = and(not(carry),and(or(carry,cin),Z)) ),
inference(resolve,[$cnf( $equal(and(not(carry),and(or(cin,and(carry,t5)),Z)),and(not(carry),and(or(cin,and(carry,t5)),Z))) )],[refute_0_16107,refute_0_16108]) ).
cnf(refute_0_16110,plain,
and(not(carry),and(or(cin,and(carry,t5)),Z)) = and(not(carry),and(or(carry,cin),Z)),
inference(resolve,[$cnf( $equal(and(or(cin,and(carry,t5)),Z),and(or(carry,cin),Z)) )],[refute_0_16106,refute_0_16109]) ).
cnf(refute_0_16111,plain,
( and(not(carry),and(or(cin,and(carry,t5)),Z)) != and(not(carry),and(or(carry,cin),Z))
| and(xor(carry,or(carry,cin)),Z) != and(not(carry),and(or(cin,and(carry,t5)),Z))
| and(xor(carry,or(carry,cin)),Z) = and(not(carry),and(or(carry,cin),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(carry,or(carry,cin)),Z),and(not(carry),and(or(cin,and(carry,t5)),Z))) ),[1],$fot(and(not(carry),and(or(carry,cin),Z)))]]) ).
cnf(refute_0_16112,plain,
( and(xor(carry,or(carry,cin)),Z) != and(not(carry),and(or(cin,and(carry,t5)),Z))
| and(xor(carry,or(carry,cin)),Z) = and(not(carry),and(or(carry,cin),Z)) ),
inference(resolve,[$cnf( $equal(and(not(carry),and(or(cin,and(carry,t5)),Z)),and(not(carry),and(or(carry,cin),Z))) )],[refute_0_16110,refute_0_16111]) ).
cnf(refute_0_16113,plain,
( and(xor(carry,or(cin,and(carry,t5))),Z) != and(not(carry),and(or(cin,and(carry,t5)),Z))
| and(xor(carry,or(carry,cin)),Z) = and(not(carry),and(or(carry,cin),Z)) ),
inference(resolve,[$cnf( $equal(and(xor(carry,or(carry,cin)),Z),and(not(carry),and(or(cin,and(carry,t5)),Z))) )],[refute_0_16102,refute_0_16112]) ).
cnf(refute_0_16114,plain,
and(xor(carry,or(carry,cin)),Z) = and(not(carry),and(or(carry,cin),Z)),
inference(resolve,[$cnf( $equal(and(xor(carry,or(cin,and(carry,t5))),Z),and(not(carry),and(or(cin,and(carry,t5)),Z))) )],[refute_0_16096,refute_0_16113]) ).
cnf(refute_0_16115,plain,
( and(xor(carry,or(carry,cin)),Z) != and(not(carry),and(or(carry,cin),Z))
| and(not(carry),and(or(carry,cin),Z)) = and(xor(carry,or(carry,cin)),Z) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(xor(carry,or(carry,cin)),Z))),bind(Y0,$fot(and(not(carry),and(or(carry,cin),Z))))]]) ).
cnf(refute_0_16116,plain,
and(not(carry),and(or(carry,cin),Z)) = and(xor(carry,or(carry,cin)),Z),
inference(resolve,[$cnf( $equal(and(xor(carry,or(carry,cin)),Z),and(not(carry),and(or(carry,cin),Z))) )],[refute_0_16114,refute_0_16115]) ).
cnf(refute_0_16117,plain,
and(not(carry),and(or(carry,cin),not(carry))) = and(xor(carry,or(carry,cin)),not(carry)),
inference(subst,[],[refute_0_16116:[bind(Z,$fot(not(carry)))]]) ).
cnf(refute_0_16118,plain,
( and(not(carry),and(or(carry,cin),not(carry))) != and(xor(carry,or(carry,cin)),not(carry))
| and(xor(carry,or(carry,cin)),not(carry)) != and(not(carry),xor(carry,or(carry,cin)))
| and(not(carry),and(or(carry,cin),not(carry))) = and(not(carry),xor(carry,or(carry,cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(carry),and(or(carry,cin),not(carry))))),bind(Y0,$fot(and(xor(carry,or(carry,cin)),not(carry)))),bind(Z0,$fot(and(not(carry),xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_16119,plain,
( and(xor(carry,or(carry,cin)),not(carry)) != and(not(carry),xor(carry,or(carry,cin)))
| and(not(carry),and(or(carry,cin),not(carry))) = and(not(carry),xor(carry,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(not(carry),and(or(carry,cin),not(carry))),and(xor(carry,or(carry,cin)),not(carry))) )],[refute_0_16117,refute_0_16118]) ).
cnf(refute_0_16120,plain,
and(not(carry),and(or(carry,cin),not(carry))) = and(not(carry),xor(carry,or(carry,cin))),
inference(resolve,[$cnf( $equal(and(xor(carry,or(carry,cin)),not(carry)),and(not(carry),xor(carry,or(carry,cin)))) )],[refute_0_16092,refute_0_16119]) ).
cnf(refute_0_16121,plain,
( and(not(carry),and(or(carry,cin),not(carry))) != and(not(carry),xor(carry,or(carry,cin)))
| and(not(carry),and(or(carry,cin),not(carry))) != xor(carry,or(carry,cin))
| and(not(carry),xor(carry,or(carry,cin))) = xor(carry,or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),and(or(carry,cin),not(carry))),xor(carry,or(carry,cin))) ),[0],$fot(and(not(carry),xor(carry,or(carry,cin))))]]) ).
cnf(refute_0_16122,plain,
( and(not(carry),and(or(carry,cin),not(carry))) != xor(carry,or(carry,cin))
| and(not(carry),xor(carry,or(carry,cin))) = xor(carry,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(and(not(carry),and(or(carry,cin),not(carry))),and(not(carry),xor(carry,or(carry,cin)))) )],[refute_0_16120,refute_0_16121]) ).
cnf(refute_0_16123,plain,
and(not(carry),xor(carry,or(carry,cin))) = xor(carry,or(carry,cin)),
inference(resolve,[$cnf( $equal(and(not(carry),and(or(carry,cin),not(carry))),xor(carry,or(carry,cin))) )],[refute_0_16091,refute_0_16122]) ).
cnf(refute_0_16124,plain,
( and(not(carry),xor(carry,or(carry,cin))) != xor(carry,or(carry,cin))
| or(and(carry,not(xor(carry,or(carry,cin)))),and(not(carry),xor(carry,or(carry,cin)))) != xor(carry,xor(carry,or(carry,cin)))
| or(and(carry,not(xor(carry,or(carry,cin)))),xor(carry,or(carry,cin))) = xor(carry,xor(carry,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(carry,not(xor(carry,or(carry,cin)))),and(not(carry),xor(carry,or(carry,cin)))),xor(carry,xor(carry,or(carry,cin)))) ),[0,1],$fot(xor(carry,or(carry,cin)))]]) ).
cnf(refute_0_16125,plain,
( or(and(carry,not(xor(carry,or(carry,cin)))),and(not(carry),xor(carry,or(carry,cin)))) != xor(carry,xor(carry,or(carry,cin)))
| or(and(carry,not(xor(carry,or(carry,cin)))),xor(carry,or(carry,cin))) = xor(carry,xor(carry,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(not(carry),xor(carry,or(carry,cin))),xor(carry,or(carry,cin))) )],[refute_0_16123,refute_0_16124]) ).
cnf(refute_0_16126,plain,
or(and(carry,not(xor(carry,or(carry,cin)))),xor(carry,or(carry,cin))) = xor(carry,xor(carry,or(carry,cin))),
inference(resolve,[$cnf( $equal(or(and(carry,not(xor(carry,or(carry,cin)))),and(not(carry),xor(carry,or(carry,cin)))),xor(carry,xor(carry,or(carry,cin)))) )],[refute_0_16077,refute_0_16125]) ).
cnf(refute_0_16127,plain,
or(and(carry,not(xor(carry,or(carry,cin)))),xor(carry,or(carry,cin))) = or(xor(carry,or(carry,cin)),and(carry,not(xor(carry,or(carry,cin))))),
inference(subst,[],[refute_0_5:[bind(X,$fot(xor(carry,or(carry,cin)))),bind(Y,$fot(and(carry,not(xor(carry,or(carry,cin))))))]]) ).
cnf(refute_0_16128,plain,
( or(and(carry,not(xor(carry,or(carry,cin)))),xor(carry,or(carry,cin))) != or(xor(carry,or(carry,cin)),and(carry,not(xor(carry,or(carry,cin)))))
| or(and(carry,not(xor(carry,or(carry,cin)))),xor(carry,or(carry,cin))) != xor(carry,xor(carry,or(carry,cin)))
| or(xor(carry,or(carry,cin)),and(carry,not(xor(carry,or(carry,cin))))) = xor(carry,xor(carry,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(carry,not(xor(carry,or(carry,cin)))),xor(carry,or(carry,cin))),xor(carry,xor(carry,or(carry,cin)))) ),[0],$fot(or(xor(carry,or(carry,cin)),and(carry,not(xor(carry,or(carry,cin))))))]]) ).
cnf(refute_0_16129,plain,
( or(and(carry,not(xor(carry,or(carry,cin)))),xor(carry,or(carry,cin))) != xor(carry,xor(carry,or(carry,cin)))
| or(xor(carry,or(carry,cin)),and(carry,not(xor(carry,or(carry,cin))))) = xor(carry,xor(carry,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(or(and(carry,not(xor(carry,or(carry,cin)))),xor(carry,or(carry,cin))),or(xor(carry,or(carry,cin)),and(carry,not(xor(carry,or(carry,cin)))))) )],[refute_0_16127,refute_0_16128]) ).
cnf(refute_0_16130,plain,
xor(carry,xor(carry,or(carry,cin))) = or(carry,cin),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(carry)),bind(X_335,$fot(or(carry,cin)))]]) ).
cnf(refute_0_16131,plain,
( or(xor(carry,or(carry,cin)),and(carry,not(xor(carry,or(carry,cin))))) != xor(carry,xor(carry,or(carry,cin)))
| xor(carry,xor(carry,or(carry,cin))) != or(carry,cin)
| or(xor(carry,or(carry,cin)),and(carry,not(xor(carry,or(carry,cin))))) = or(carry,cin) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(xor(carry,or(carry,cin)),and(carry,not(xor(carry,or(carry,cin))))),or(carry,cin)) ),[0],$fot(xor(carry,xor(carry,or(carry,cin))))]]) ).
cnf(refute_0_16132,plain,
( or(xor(carry,or(carry,cin)),and(carry,not(xor(carry,or(carry,cin))))) != xor(carry,xor(carry,or(carry,cin)))
| or(xor(carry,or(carry,cin)),and(carry,not(xor(carry,or(carry,cin))))) = or(carry,cin) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(carry,or(carry,cin))),or(carry,cin)) )],[refute_0_16130,refute_0_16131]) ).
cnf(refute_0_16133,plain,
( or(and(carry,not(xor(carry,or(carry,cin)))),xor(carry,or(carry,cin))) != xor(carry,xor(carry,or(carry,cin)))
| or(xor(carry,or(carry,cin)),and(carry,not(xor(carry,or(carry,cin))))) = or(carry,cin) ),
inference(resolve,[$cnf( $equal(or(xor(carry,or(carry,cin)),and(carry,not(xor(carry,or(carry,cin))))),xor(carry,xor(carry,or(carry,cin)))) )],[refute_0_16129,refute_0_16132]) ).
cnf(refute_0_16134,plain,
or(xor(carry,or(carry,cin)),and(carry,not(xor(carry,or(carry,cin))))) = or(carry,cin),
inference(resolve,[$cnf( $equal(or(and(carry,not(xor(carry,or(carry,cin)))),xor(carry,or(carry,cin))),xor(carry,xor(carry,or(carry,cin)))) )],[refute_0_16126,refute_0_16133]) ).
cnf(refute_0_16135,plain,
or(xor(carry,or(carry,cin)),carry) = or(carry,xor(carry,or(carry,cin))),
inference(subst,[],[refute_0_5:[bind(X,$fot(carry)),bind(Y,$fot(xor(carry,or(carry,cin))))]]) ).
cnf(refute_0_16136,plain,
or(xor(carry,or(carry,cin)),and(carry,not(xor(carry,or(carry,cin))))) = or(xor(carry,or(carry,cin)),carry),
inference(subst,[],[refute_0_8405:[bind(X_818,$fot(xor(carry,or(carry,cin)))),bind(X_819,$fot(carry))]]) ).
cnf(refute_0_16137,plain,
( or(xor(carry,or(carry,cin)),and(carry,not(xor(carry,or(carry,cin))))) != or(xor(carry,or(carry,cin)),carry)
| or(xor(carry,or(carry,cin)),carry) != or(carry,xor(carry,or(carry,cin)))
| or(xor(carry,or(carry,cin)),and(carry,not(xor(carry,or(carry,cin))))) = or(carry,xor(carry,or(carry,cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(xor(carry,or(carry,cin)),and(carry,not(xor(carry,or(carry,cin))))))),bind(Y0,$fot(or(xor(carry,or(carry,cin)),carry))),bind(Z0,$fot(or(carry,xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_16138,plain,
( or(xor(carry,or(carry,cin)),carry) != or(carry,xor(carry,or(carry,cin)))
| or(xor(carry,or(carry,cin)),and(carry,not(xor(carry,or(carry,cin))))) = or(carry,xor(carry,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(or(xor(carry,or(carry,cin)),and(carry,not(xor(carry,or(carry,cin))))),or(xor(carry,or(carry,cin)),carry)) )],[refute_0_16136,refute_0_16137]) ).
cnf(refute_0_16139,plain,
or(xor(carry,or(carry,cin)),and(carry,not(xor(carry,or(carry,cin))))) = or(carry,xor(carry,or(carry,cin))),
inference(resolve,[$cnf( $equal(or(xor(carry,or(carry,cin)),carry),or(carry,xor(carry,or(carry,cin)))) )],[refute_0_16135,refute_0_16138]) ).
cnf(refute_0_16140,plain,
( or(xor(carry,or(carry,cin)),and(carry,not(xor(carry,or(carry,cin))))) != or(carry,cin)
| or(xor(carry,or(carry,cin)),and(carry,not(xor(carry,or(carry,cin))))) != or(carry,xor(carry,or(carry,cin)))
| or(carry,xor(carry,or(carry,cin))) = or(carry,cin) ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(carry,or(carry,cin)),and(carry,not(xor(carry,or(carry,cin))))),or(carry,cin)) ),[0],$fot(or(carry,xor(carry,or(carry,cin))))]]) ).
cnf(refute_0_16141,plain,
( or(xor(carry,or(carry,cin)),and(carry,not(xor(carry,or(carry,cin))))) != or(carry,cin)
| or(carry,xor(carry,or(carry,cin))) = or(carry,cin) ),
inference(resolve,[$cnf( $equal(or(xor(carry,or(carry,cin)),and(carry,not(xor(carry,or(carry,cin))))),or(carry,xor(carry,or(carry,cin)))) )],[refute_0_16139,refute_0_16140]) ).
cnf(refute_0_16142,plain,
or(carry,xor(carry,or(carry,cin))) = or(carry,cin),
inference(resolve,[$cnf( $equal(or(xor(carry,or(carry,cin)),and(carry,not(xor(carry,or(carry,cin))))),or(carry,cin)) )],[refute_0_16134,refute_0_16141]) ).
cnf(refute_0_16143,plain,
not(or(carry,xor(carry,or(carry,cin)))) = not(or(carry,xor(carry,or(carry,cin)))),
introduced(tautology,[refl,[$fot(not(or(carry,xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_16144,plain,
( not(or(carry,xor(carry,or(carry,cin)))) != not(or(carry,xor(carry,or(carry,cin))))
| or(carry,xor(carry,or(carry,cin))) != or(carry,cin)
| not(or(carry,xor(carry,or(carry,cin)))) = not(or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,xor(carry,or(carry,cin)))),not(or(carry,xor(carry,or(carry,cin))))) ),[1,0],$fot(or(carry,cin))]]) ).
cnf(refute_0_16145,plain,
( or(carry,xor(carry,or(carry,cin))) != or(carry,cin)
| not(or(carry,xor(carry,or(carry,cin)))) = not(or(carry,cin)) ),
inference(resolve,[$cnf( $equal(not(or(carry,xor(carry,or(carry,cin)))),not(or(carry,xor(carry,or(carry,cin))))) )],[refute_0_16143,refute_0_16144]) ).
cnf(refute_0_16146,plain,
not(or(carry,xor(carry,or(carry,cin)))) = not(or(carry,cin)),
inference(resolve,[$cnf( $equal(or(carry,xor(carry,or(carry,cin))),or(carry,cin)) )],[refute_0_16142,refute_0_16145]) ).
cnf(refute_0_16147,plain,
( not(or(carry,xor(carry,or(carry,cin)))) != and(t1,xor(t1,or(carry,cin)))
| not(or(carry,xor(carry,or(carry,cin)))) != not(or(carry,cin))
| not(or(carry,cin)) = and(t1,xor(t1,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,xor(carry,or(carry,cin)))),and(t1,xor(t1,or(carry,cin)))) ),[0],$fot(not(or(carry,cin)))]]) ).
cnf(refute_0_16148,plain,
( not(or(carry,xor(carry,or(carry,cin)))) != and(t1,xor(t1,or(carry,cin)))
| not(or(carry,cin)) = and(t1,xor(t1,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(not(or(carry,xor(carry,or(carry,cin)))),not(or(carry,cin))) )],[refute_0_16146,refute_0_16147]) ).
cnf(refute_0_16149,plain,
not(or(carry,cin)) = and(t1,xor(t1,or(carry,cin))),
inference(resolve,[$cnf( $equal(not(or(carry,xor(carry,or(carry,cin)))),and(t1,xor(t1,or(carry,cin)))) )],[refute_0_16072,refute_0_16148]) ).
cnf(refute_0_16150,plain,
( not(or(carry,cin)) != and(t1,xor(t1,or(carry,cin)))
| and(t1,xor(t1,or(carry,cin))) = not(or(carry,cin)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(carry,cin)))),bind(Y0,$fot(and(t1,xor(t1,or(carry,cin)))))]]) ).
cnf(refute_0_16151,plain,
and(t1,xor(t1,or(carry,cin))) = not(or(carry,cin)),
inference(resolve,[$cnf( $equal(not(or(carry,cin)),and(t1,xor(t1,or(carry,cin)))) )],[refute_0_16149,refute_0_16150]) ).
cnf(refute_0_16152,plain,
( and(not(carry),xor(t1,or(carry,cin))) != and(t1,xor(t1,or(carry,cin)))
| and(t1,xor(t1,or(carry,cin))) != not(or(carry,cin))
| and(not(carry),xor(t1,or(carry,cin))) = not(or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(carry),xor(t1,or(carry,cin))),not(or(carry,cin))) ),[0],$fot(and(t1,xor(t1,or(carry,cin))))]]) ).
cnf(refute_0_16153,plain,
( and(not(carry),xor(t1,or(carry,cin))) != and(t1,xor(t1,or(carry,cin)))
| and(not(carry),xor(t1,or(carry,cin))) = not(or(carry,cin)) ),
inference(resolve,[$cnf( $equal(and(t1,xor(t1,or(carry,cin))),not(or(carry,cin))) )],[refute_0_16151,refute_0_16152]) ).
cnf(refute_0_16154,plain,
and(not(carry),xor(t1,or(carry,cin))) = not(or(carry,cin)),
inference(resolve,[$cnf( $equal(and(not(carry),xor(t1,or(carry,cin))),and(t1,xor(t1,or(carry,cin)))) )],[refute_0_16076,refute_0_16153]) ).
cnf(refute_0_16155,plain,
( and(not(carry),xor(t1,or(carry,cin))) != not(or(carry,cin))
| and(xor(t1,or(carry,cin)),and(not(carry),xor(t1,or(carry,cin)))) != and(xor(t1,or(carry,cin)),not(carry))
| and(xor(t1,or(carry,cin)),not(or(carry,cin))) = and(xor(t1,or(carry,cin)),not(carry)) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t1,or(carry,cin)),and(not(carry),xor(t1,or(carry,cin)))),and(xor(t1,or(carry,cin)),not(carry))) ),[0,1],$fot(not(or(carry,cin)))]]) ).
cnf(refute_0_16156,plain,
( and(xor(t1,or(carry,cin)),and(not(carry),xor(t1,or(carry,cin)))) != and(xor(t1,or(carry,cin)),not(carry))
| and(xor(t1,or(carry,cin)),not(or(carry,cin))) = and(xor(t1,or(carry,cin)),not(carry)) ),
inference(resolve,[$cnf( $equal(and(not(carry),xor(t1,or(carry,cin))),not(or(carry,cin))) )],[refute_0_16154,refute_0_16155]) ).
cnf(refute_0_16157,plain,
and(xor(t1,or(carry,cin)),not(or(carry,cin))) = and(xor(t1,or(carry,cin)),not(carry)),
inference(resolve,[$cnf( $equal(and(xor(t1,or(carry,cin)),and(not(carry),xor(t1,or(carry,cin)))),and(xor(t1,or(carry,cin)),not(carry))) )],[refute_0_16039,refute_0_16156]) ).
cnf(refute_0_16158,plain,
and(and(t1,not(cin)),Z) = and(t1,and(not(cin),Z)),
inference(subst,[],[and_associative:[bind(X,$fot(t1)),bind(Y,$fot(not(cin)))]]) ).
cnf(refute_0_16159,plain,
( and(and(t1,not(cin)),Z) != and(t1,and(not(cin),Z))
| and(t1,not(cin)) != not(or(carry,cin))
| and(not(or(carry,cin)),Z) = and(t1,and(not(cin),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t1,not(cin)),Z),and(t1,and(not(cin),Z))) ),[0,0],$fot(not(or(carry,cin)))]]) ).
cnf(refute_0_16160,plain,
( and(and(t1,not(cin)),Z) != and(t1,and(not(cin),Z))
| and(not(or(carry,cin)),Z) = and(t1,and(not(cin),Z)) ),
inference(resolve,[$cnf( $equal(and(t1,not(cin)),not(or(carry,cin))) )],[refute_0_11746,refute_0_16159]) ).
cnf(refute_0_16161,plain,
and(not(or(carry,cin)),Z) = and(t1,and(not(cin),Z)),
inference(resolve,[$cnf( $equal(and(and(t1,not(cin)),Z),and(t1,and(not(cin),Z))) )],[refute_0_16158,refute_0_16160]) ).
cnf(refute_0_16162,plain,
and(not(or(carry,cin)),xor(t1,or(carry,cin))) = and(t1,and(not(cin),xor(t1,or(carry,cin)))),
inference(subst,[],[refute_0_16161:[bind(Z,$fot(xor(t1,or(carry,cin))))]]) ).
cnf(refute_0_16163,plain,
and(xor(t1,or(carry,cin)),not(or(carry,cin))) = and(not(or(carry,cin)),xor(t1,or(carry,cin))),
inference(subst,[],[refute_0_4252:[bind(X_14,$fot(not(or(carry,cin)))),bind(X_669,$fot(xor(t1,or(carry,cin))))]]) ).
cnf(refute_0_16164,plain,
( and(not(or(carry,cin)),xor(t1,or(carry,cin))) != and(t1,and(not(cin),xor(t1,or(carry,cin))))
| and(xor(t1,or(carry,cin)),not(or(carry,cin))) != and(not(or(carry,cin)),xor(t1,or(carry,cin)))
| and(xor(t1,or(carry,cin)),not(or(carry,cin))) = and(t1,and(not(cin),xor(t1,or(carry,cin)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(xor(t1,or(carry,cin)),not(or(carry,cin))))),bind(Y0,$fot(and(not(or(carry,cin)),xor(t1,or(carry,cin))))),bind(Z0,$fot(and(t1,and(not(cin),xor(t1,or(carry,cin))))))]]) ).
cnf(refute_0_16165,plain,
( and(not(or(carry,cin)),xor(t1,or(carry,cin))) != and(t1,and(not(cin),xor(t1,or(carry,cin))))
| and(xor(t1,or(carry,cin)),not(or(carry,cin))) = and(t1,and(not(cin),xor(t1,or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(and(xor(t1,or(carry,cin)),not(or(carry,cin))),and(not(or(carry,cin)),xor(t1,or(carry,cin)))) )],[refute_0_16163,refute_0_16164]) ).
cnf(refute_0_16166,plain,
and(xor(t1,or(carry,cin)),not(or(carry,cin))) = and(t1,and(not(cin),xor(t1,or(carry,cin)))),
inference(resolve,[$cnf( $equal(and(not(or(carry,cin)),xor(t1,or(carry,cin))),and(t1,and(not(cin),xor(t1,or(carry,cin))))) )],[refute_0_16162,refute_0_16165]) ).
cnf(refute_0_16167,plain,
( and(xor(t1,or(carry,cin)),not(or(carry,cin))) != and(t1,and(not(cin),xor(t1,or(carry,cin))))
| and(xor(t1,or(carry,cin)),not(or(carry,cin))) != and(xor(t1,or(carry,cin)),not(carry))
| and(t1,and(not(cin),xor(t1,or(carry,cin)))) = and(xor(t1,or(carry,cin)),not(carry)) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t1,or(carry,cin)),not(or(carry,cin))),and(xor(t1,or(carry,cin)),not(carry))) ),[0],$fot(and(t1,and(not(cin),xor(t1,or(carry,cin)))))]]) ).
cnf(refute_0_16168,plain,
( and(xor(t1,or(carry,cin)),not(or(carry,cin))) != and(xor(t1,or(carry,cin)),not(carry))
| and(t1,and(not(cin),xor(t1,or(carry,cin)))) = and(xor(t1,or(carry,cin)),not(carry)) ),
inference(resolve,[$cnf( $equal(and(xor(t1,or(carry,cin)),not(or(carry,cin))),and(t1,and(not(cin),xor(t1,or(carry,cin))))) )],[refute_0_16166,refute_0_16167]) ).
cnf(refute_0_16169,plain,
( and(not(carry),xor(t1,or(carry,cin))) != not(or(carry,cin))
| and(xor(t1,or(carry,cin)),not(carry)) != and(not(carry),xor(t1,or(carry,cin)))
| and(xor(t1,or(carry,cin)),not(carry)) = not(or(carry,cin)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(xor(t1,or(carry,cin)),not(carry)))),bind(Y0,$fot(and(not(carry),xor(t1,or(carry,cin))))),bind(Z0,$fot(not(or(carry,cin))))]]) ).
cnf(refute_0_16170,plain,
( and(not(carry),xor(t1,or(carry,cin))) != not(or(carry,cin))
| and(xor(t1,or(carry,cin)),not(carry)) = not(or(carry,cin)) ),
inference(resolve,[$cnf( $equal(and(xor(t1,or(carry,cin)),not(carry)),and(not(carry),xor(t1,or(carry,cin)))) )],[refute_0_16058,refute_0_16169]) ).
cnf(refute_0_16171,plain,
and(xor(t1,or(carry,cin)),not(carry)) = not(or(carry,cin)),
inference(resolve,[$cnf( $equal(and(not(carry),xor(t1,or(carry,cin))),not(or(carry,cin))) )],[refute_0_16154,refute_0_16170]) ).
cnf(refute_0_16172,plain,
( and(t1,and(not(cin),xor(t1,or(carry,cin)))) != and(xor(t1,or(carry,cin)),not(carry))
| and(xor(t1,or(carry,cin)),not(carry)) != not(or(carry,cin))
| and(t1,and(not(cin),xor(t1,or(carry,cin)))) = not(or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t1,and(not(cin),xor(t1,or(carry,cin)))),not(or(carry,cin))) ),[0],$fot(and(xor(t1,or(carry,cin)),not(carry)))]]) ).
cnf(refute_0_16173,plain,
( and(t1,and(not(cin),xor(t1,or(carry,cin)))) != and(xor(t1,or(carry,cin)),not(carry))
| and(t1,and(not(cin),xor(t1,or(carry,cin)))) = not(or(carry,cin)) ),
inference(resolve,[$cnf( $equal(and(xor(t1,or(carry,cin)),not(carry)),not(or(carry,cin))) )],[refute_0_16171,refute_0_16172]) ).
cnf(refute_0_16174,plain,
( and(xor(t1,or(carry,cin)),not(or(carry,cin))) != and(xor(t1,or(carry,cin)),not(carry))
| and(t1,and(not(cin),xor(t1,or(carry,cin)))) = not(or(carry,cin)) ),
inference(resolve,[$cnf( $equal(and(t1,and(not(cin),xor(t1,or(carry,cin)))),and(xor(t1,or(carry,cin)),not(carry))) )],[refute_0_16168,refute_0_16173]) ).
cnf(refute_0_16175,plain,
and(t1,and(not(cin),xor(t1,or(carry,cin)))) = not(or(carry,cin)),
inference(resolve,[$cnf( $equal(and(xor(t1,or(carry,cin)),not(or(carry,cin))),and(xor(t1,or(carry,cin)),not(carry))) )],[refute_0_16157,refute_0_16174]) ).
cnf(refute_0_16176,plain,
( and(and(X,t1),and(not(cin),xor(t1,or(carry,cin)))) != and(X,and(t1,and(not(cin),xor(t1,or(carry,cin)))))
| and(t1,and(not(cin),xor(t1,or(carry,cin)))) != not(or(carry,cin))
| and(and(X,t1),and(not(cin),xor(t1,or(carry,cin)))) = and(X,not(or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X,t1),and(not(cin),xor(t1,or(carry,cin)))),and(X,and(t1,and(not(cin),xor(t1,or(carry,cin)))))) ),[1,1],$fot(not(or(carry,cin)))]]) ).
cnf(refute_0_16177,plain,
( and(and(X,t1),and(not(cin),xor(t1,or(carry,cin)))) != and(X,and(t1,and(not(cin),xor(t1,or(carry,cin)))))
| and(and(X,t1),and(not(cin),xor(t1,or(carry,cin)))) = and(X,not(or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(t1,and(not(cin),xor(t1,or(carry,cin)))),not(or(carry,cin))) )],[refute_0_16175,refute_0_16176]) ).
cnf(refute_0_16178,plain,
and(and(X,t1),and(not(cin),xor(t1,or(carry,cin)))) = and(X,not(or(carry,cin))),
inference(resolve,[$cnf( $equal(and(and(X,t1),and(not(cin),xor(t1,or(carry,cin)))),and(X,and(t1,and(not(cin),xor(t1,or(carry,cin)))))) )],[refute_0_16038,refute_0_16177]) ).
cnf(refute_0_16179,plain,
and(and(t7,not(carry)),Z) = and(t7,and(not(carry),Z)),
inference(subst,[],[and_associative:[bind(X,$fot(t7)),bind(Y,$fot(not(carry)))]]) ).
cnf(refute_0_16180,plain,
( and(and(t7,not(carry)),Z) != and(t7,and(not(carry),Z))
| and(t7,not(carry)) != not(or(carry,cin))
| and(not(or(carry,cin)),Z) = and(t7,and(not(carry),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t7,not(carry)),Z),and(t7,and(not(carry),Z))) ),[0,0],$fot(not(or(carry,cin)))]]) ).
cnf(refute_0_16181,plain,
( and(and(t7,not(carry)),Z) != and(t7,and(not(carry),Z))
| and(not(or(carry,cin)),Z) = and(t7,and(not(carry),Z)) ),
inference(resolve,[$cnf( $equal(and(t7,not(carry)),not(or(carry,cin))) )],[refute_0_15833,refute_0_16180]) ).
cnf(refute_0_16182,plain,
and(not(or(carry,cin)),Z) = and(t7,and(not(carry),Z)),
inference(resolve,[$cnf( $equal(and(and(t7,not(carry)),Z),and(t7,and(not(carry),Z))) )],[refute_0_16179,refute_0_16181]) ).
cnf(refute_0_16183,plain,
( and(not(or(carry,cin)),Z) != and(t1,and(not(cin),Z))
| and(not(or(carry,cin)),Z) != and(t7,and(not(carry),Z))
| and(t1,and(not(cin),Z)) = and(t7,and(not(carry),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(or(carry,cin)),Z),and(t7,and(not(carry),Z))) ),[0],$fot(and(t1,and(not(cin),Z)))]]) ).
cnf(refute_0_16184,plain,
( and(not(or(carry,cin)),Z) != and(t7,and(not(carry),Z))
| and(t1,and(not(cin),Z)) = and(t7,and(not(carry),Z)) ),
inference(resolve,[$cnf( $equal(and(not(or(carry,cin)),Z),and(t1,and(not(cin),Z))) )],[refute_0_16161,refute_0_16183]) ).
cnf(refute_0_16185,plain,
and(t1,and(not(cin),Z)) = and(t7,and(not(carry),Z)),
inference(resolve,[$cnf( $equal(and(not(or(carry,cin)),Z),and(t7,and(not(carry),Z))) )],[refute_0_16182,refute_0_16184]) ).
cnf(refute_0_16186,plain,
( and(t1,and(not(cin),Z)) != and(t7,and(not(carry),Z))
| and(t7,and(not(carry),Z)) = and(t1,and(not(cin),Z)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t1,and(not(cin),Z)))),bind(Y0,$fot(and(t7,and(not(carry),Z))))]]) ).
cnf(refute_0_16187,plain,
and(t7,and(not(carry),Z)) = and(t1,and(not(cin),Z)),
inference(resolve,[$cnf( $equal(and(t1,and(not(cin),Z)),and(t7,and(not(carry),Z))) )],[refute_0_16185,refute_0_16186]) ).
cnf(refute_0_16188,plain,
and(t7,and(not(carry),X)) = and(t1,and(not(cin),X)),
inference(subst,[],[refute_0_16187:[bind(Z,$fot(X))]]) ).
cnf(refute_0_16189,plain,
and(not(carry),and(t7,X)) = and(t7,and(not(carry),X)),
inference(subst,[],[refute_0_4220:[bind(X,$fot(t7)),bind(Z,$fot(X)),bind(X_669,$fot(not(carry)))]]) ).
cnf(refute_0_16190,plain,
( and(not(carry),and(t7,X)) != and(t7,and(not(carry),X))
| and(t7,and(not(carry),X)) != and(t1,and(not(cin),X))
| and(not(carry),and(t7,X)) = and(t1,and(not(cin),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(carry),and(t7,X)))),bind(Y0,$fot(and(t7,and(not(carry),X)))),bind(Z0,$fot(and(t1,and(not(cin),X))))]]) ).
cnf(refute_0_16191,plain,
( and(t7,and(not(carry),X)) != and(t1,and(not(cin),X))
| and(not(carry),and(t7,X)) = and(t1,and(not(cin),X)) ),
inference(resolve,[$cnf( $equal(and(not(carry),and(t7,X)),and(t7,and(not(carry),X))) )],[refute_0_16189,refute_0_16190]) ).
cnf(refute_0_16192,plain,
and(not(carry),and(t7,X)) = and(t1,and(not(cin),X)),
inference(resolve,[$cnf( $equal(and(t7,and(not(carry),X)),and(t1,and(not(cin),X))) )],[refute_0_16188,refute_0_16191]) ).
cnf(refute_0_16193,plain,
not(or(carry,not(and(t7,X)))) = and(not(carry),and(t7,X)),
inference(subst,[],[refute_0_801:[bind(X,$fot(and(t7,X))),bind(X_25,$fot(carry))]]) ).
cnf(refute_0_16194,plain,
( and(not(carry),and(t7,X)) != and(t1,and(not(cin),X))
| not(or(carry,not(and(t7,X)))) != and(not(carry),and(t7,X))
| not(or(carry,not(and(t7,X)))) = and(t1,and(not(cin),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(carry,not(and(t7,X)))))),bind(Y0,$fot(and(not(carry),and(t7,X)))),bind(Z0,$fot(and(t1,and(not(cin),X))))]]) ).
cnf(refute_0_16195,plain,
( and(not(carry),and(t7,X)) != and(t1,and(not(cin),X))
| not(or(carry,not(and(t7,X)))) = and(t1,and(not(cin),X)) ),
inference(resolve,[$cnf( $equal(not(or(carry,not(and(t7,X)))),and(not(carry),and(t7,X))) )],[refute_0_16193,refute_0_16194]) ).
cnf(refute_0_16196,plain,
not(or(carry,not(and(t7,X)))) = and(t1,and(not(cin),X)),
inference(resolve,[$cnf( $equal(and(not(carry),and(t7,X)),and(t1,and(not(cin),X))) )],[refute_0_16192,refute_0_16195]) ).
cnf(refute_0_16197,plain,
or(carry,not(and(t7,X_600))) = or(carry,not(and(t5,and(t7,X_600)))),
inference(subst,[],[refute_0_11287:[bind(Y,$fot(and(t7,X_600)))]]) ).
cnf(refute_0_16198,plain,
and(not(cin),X_600) = and(t5,and(t7,X_600)),
inference(subst,[],[refute_0_4419:[bind(Z,$fot(X_600))]]) ).
cnf(refute_0_16199,plain,
( and(not(cin),X_600) != and(t5,and(t7,X_600))
| and(t5,and(t7,X_600)) = and(not(cin),X_600) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(cin),X_600))),bind(Y0,$fot(and(t5,and(t7,X_600))))]]) ).
cnf(refute_0_16200,plain,
and(t5,and(t7,X_600)) = and(not(cin),X_600),
inference(resolve,[$cnf( $equal(and(not(cin),X_600),and(t5,and(t7,X_600))) )],[refute_0_16198,refute_0_16199]) ).
cnf(refute_0_16201,plain,
( and(t5,and(t7,X_600)) != and(not(cin),X_600)
| or(carry,not(and(t7,X_600))) != or(carry,not(and(t5,and(t7,X_600))))
| or(carry,not(and(t7,X_600))) = or(carry,not(and(not(cin),X_600))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(and(t7,X_600))),or(carry,not(and(t5,and(t7,X_600))))) ),[1,1,0],$fot(and(not(cin),X_600))]]) ).
cnf(refute_0_16202,plain,
( or(carry,not(and(t7,X_600))) != or(carry,not(and(t5,and(t7,X_600))))
| or(carry,not(and(t7,X_600))) = or(carry,not(and(not(cin),X_600))) ),
inference(resolve,[$cnf( $equal(and(t5,and(t7,X_600)),and(not(cin),X_600)) )],[refute_0_16200,refute_0_16201]) ).
cnf(refute_0_16203,plain,
or(carry,not(and(t7,X_600))) = or(carry,not(and(not(cin),X_600))),
inference(resolve,[$cnf( $equal(or(carry,not(and(t7,X_600))),or(carry,not(and(t5,and(t7,X_600))))) )],[refute_0_16197,refute_0_16202]) ).
cnf(refute_0_16204,plain,
not(and(not(cin),X_600)) = or(cin,not(X_600)),
inference(subst,[],[refute_0_787:[bind(X,$fot(cin)),bind(X_32,$fot(X_600))]]) ).
cnf(refute_0_16205,plain,
or(carry,not(and(not(cin),X_600))) = or(carry,not(and(not(cin),X_600))),
introduced(tautology,[refl,[$fot(or(carry,not(and(not(cin),X_600))))]]) ).
cnf(refute_0_16206,plain,
( not(and(not(cin),X_600)) != or(cin,not(X_600))
| or(carry,not(and(not(cin),X_600))) != or(carry,not(and(not(cin),X_600)))
| or(carry,not(and(not(cin),X_600))) = or(carry,or(cin,not(X_600))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(and(not(cin),X_600))),or(carry,not(and(not(cin),X_600)))) ),[1,1],$fot(or(cin,not(X_600)))]]) ).
cnf(refute_0_16207,plain,
( not(and(not(cin),X_600)) != or(cin,not(X_600))
| or(carry,not(and(not(cin),X_600))) = or(carry,or(cin,not(X_600))) ),
inference(resolve,[$cnf( $equal(or(carry,not(and(not(cin),X_600))),or(carry,not(and(not(cin),X_600)))) )],[refute_0_16205,refute_0_16206]) ).
cnf(refute_0_16208,plain,
or(carry,not(and(not(cin),X_600))) = or(carry,or(cin,not(X_600))),
inference(resolve,[$cnf( $equal(not(and(not(cin),X_600)),or(cin,not(X_600))) )],[refute_0_16204,refute_0_16207]) ).
cnf(refute_0_16209,plain,
( or(carry,not(and(not(cin),X_600))) != or(carry,or(cin,not(X_600)))
| or(carry,not(and(t7,X_600))) != or(carry,not(and(not(cin),X_600)))
| or(carry,not(and(t7,X_600))) = or(carry,or(cin,not(X_600))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(and(t7,X_600))),or(carry,not(and(not(cin),X_600)))) ),[1],$fot(or(carry,or(cin,not(X_600))))]]) ).
cnf(refute_0_16210,plain,
( or(carry,not(and(t7,X_600))) != or(carry,not(and(not(cin),X_600)))
| or(carry,not(and(t7,X_600))) = or(carry,or(cin,not(X_600))) ),
inference(resolve,[$cnf( $equal(or(carry,not(and(not(cin),X_600))),or(carry,or(cin,not(X_600)))) )],[refute_0_16208,refute_0_16209]) ).
cnf(refute_0_16211,plain,
or(carry,not(and(t7,X_600))) = or(carry,or(cin,not(X_600))),
inference(resolve,[$cnf( $equal(or(carry,not(and(t7,X_600))),or(carry,not(and(not(cin),X_600)))) )],[refute_0_16203,refute_0_16210]) ).
cnf(refute_0_16212,plain,
( or(carry,not(and(t7,X_600))) != or(carry,or(cin,not(X_600)))
| or(carry,or(cin,not(X_600))) = or(carry,not(and(t7,X_600))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(carry,not(and(t7,X_600))))),bind(Y0,$fot(or(carry,or(cin,not(X_600)))))]]) ).
cnf(refute_0_16213,plain,
or(carry,or(cin,not(X_600))) = or(carry,not(and(t7,X_600))),
inference(resolve,[$cnf( $equal(or(carry,not(and(t7,X_600))),or(carry,or(cin,not(X_600)))) )],[refute_0_16211,refute_0_16212]) ).
cnf(refute_0_16214,plain,
or(carry,or(cin,not(X))) = or(carry,not(and(t7,X))),
inference(subst,[],[refute_0_16213:[bind(X_600,$fot(X))]]) ).
cnf(refute_0_16215,plain,
or(carry,or(not(X),cin)) = or(carry,or(cin,not(X))),
inference(subst,[],[refute_0_3788:[bind(X_37,$fot(carry)),bind(X_38,$fot(cin)),bind(X_39,$fot(not(X)))]]) ).
cnf(refute_0_16216,plain,
( or(carry,or(cin,not(X))) != or(carry,not(and(t7,X)))
| or(carry,or(not(X),cin)) != or(carry,or(cin,not(X)))
| or(carry,or(not(X),cin)) = or(carry,not(and(t7,X))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(carry,or(not(X),cin)))),bind(Y0,$fot(or(carry,or(cin,not(X))))),bind(Z0,$fot(or(carry,not(and(t7,X)))))]]) ).
cnf(refute_0_16217,plain,
( or(carry,or(cin,not(X))) != or(carry,not(and(t7,X)))
| or(carry,or(not(X),cin)) = or(carry,not(and(t7,X))) ),
inference(resolve,[$cnf( $equal(or(carry,or(not(X),cin)),or(carry,or(cin,not(X)))) )],[refute_0_16215,refute_0_16216]) ).
cnf(refute_0_16218,plain,
or(carry,or(not(X),cin)) = or(carry,not(and(t7,X))),
inference(resolve,[$cnf( $equal(or(carry,or(cin,not(X))),or(carry,not(and(t7,X)))) )],[refute_0_16214,refute_0_16217]) ).
cnf(refute_0_16219,plain,
or(not(X),or(carry,cin)) = or(carry,or(not(X),cin)),
inference(subst,[],[refute_0_267:[bind(X_37,$fot(not(X))),bind(X_38,$fot(carry)),bind(X_39,$fot(cin))]]) ).
cnf(refute_0_16220,plain,
( or(carry,or(not(X),cin)) != or(carry,not(and(t7,X)))
| or(not(X),or(carry,cin)) != or(carry,or(not(X),cin))
| or(not(X),or(carry,cin)) = or(carry,not(and(t7,X))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(X),or(carry,cin)))),bind(Y0,$fot(or(carry,or(not(X),cin)))),bind(Z0,$fot(or(carry,not(and(t7,X)))))]]) ).
cnf(refute_0_16221,plain,
( or(carry,or(not(X),cin)) != or(carry,not(and(t7,X)))
| or(not(X),or(carry,cin)) = or(carry,not(and(t7,X))) ),
inference(resolve,[$cnf( $equal(or(not(X),or(carry,cin)),or(carry,or(not(X),cin))) )],[refute_0_16219,refute_0_16220]) ).
cnf(refute_0_16222,plain,
or(not(X),or(carry,cin)) = or(carry,not(and(t7,X))),
inference(resolve,[$cnf( $equal(or(carry,or(not(X),cin)),or(carry,not(and(t7,X)))) )],[refute_0_16218,refute_0_16221]) ).
cnf(refute_0_16223,plain,
or(or(X,carry),or(cin,xor(carry,or(carry,cin)))) = or(X,or(carry,or(cin,xor(carry,or(carry,cin))))),
inference(subst,[],[or_associative:[bind(Y,$fot(carry)),bind(Z,$fot(or(cin,xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_16224,plain,
or(or(cin,and(carry,t5)),and(not(carry),or(cin,and(carry,t5)))) = or(cin,and(carry,t5)),
inference(subst,[],[refute_0_222:[bind(X_13,$fot(or(cin,and(carry,t5)))),bind(X_14,$fot(not(carry)))]]) ).
cnf(refute_0_16225,plain,
( and(not(carry),or(cin,and(carry,t5))) != xor(carry,or(cin,and(carry,t5)))
| or(or(cin,and(carry,t5)),and(not(carry),or(cin,and(carry,t5)))) != or(cin,and(carry,t5))
| or(or(cin,and(carry,t5)),xor(carry,or(cin,and(carry,t5)))) = or(cin,and(carry,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(cin,and(carry,t5)),and(not(carry),or(cin,and(carry,t5)))),or(cin,and(carry,t5))) ),[0,1],$fot(xor(carry,or(cin,and(carry,t5))))]]) ).
cnf(refute_0_16226,plain,
( or(or(cin,and(carry,t5)),and(not(carry),or(cin,and(carry,t5)))) != or(cin,and(carry,t5))
| or(or(cin,and(carry,t5)),xor(carry,or(cin,and(carry,t5)))) = or(cin,and(carry,t5)) ),
inference(resolve,[$cnf( $equal(and(not(carry),or(cin,and(carry,t5))),xor(carry,or(cin,and(carry,t5)))) )],[refute_0_11729,refute_0_16225]) ).
cnf(refute_0_16227,plain,
or(or(cin,and(carry,t5)),xor(carry,or(cin,and(carry,t5)))) = or(cin,and(carry,t5)),
inference(resolve,[$cnf( $equal(or(or(cin,and(carry,t5)),and(not(carry),or(cin,and(carry,t5)))),or(cin,and(carry,t5))) )],[refute_0_16224,refute_0_16226]) ).
cnf(refute_0_16228,plain,
or(or(cin,and(carry,t5)),xor(carry,or(cin,and(carry,t5)))) = or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5))))),
inference(subst,[],[or_associative:[bind(X,$fot(cin)),bind(Y,$fot(and(carry,t5))),bind(Z,$fot(xor(carry,or(cin,and(carry,t5)))))]]) ).
cnf(refute_0_16229,plain,
( or(or(cin,and(carry,t5)),xor(carry,or(cin,and(carry,t5)))) != or(cin,and(carry,t5))
| or(or(cin,and(carry,t5)),xor(carry,or(cin,and(carry,t5)))) != or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5)))))
| or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5))))) = or(cin,and(carry,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(cin,and(carry,t5)),xor(carry,or(cin,and(carry,t5)))),or(cin,and(carry,t5))) ),[0],$fot(or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5))))))]]) ).
cnf(refute_0_16230,plain,
( or(or(cin,and(carry,t5)),xor(carry,or(cin,and(carry,t5)))) != or(cin,and(carry,t5))
| or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5))))) = or(cin,and(carry,t5)) ),
inference(resolve,[$cnf( $equal(or(or(cin,and(carry,t5)),xor(carry,or(cin,and(carry,t5)))),or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5)))))) )],[refute_0_16228,refute_0_16229]) ).
cnf(refute_0_16231,plain,
or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5))))) = or(cin,and(carry,t5)),
inference(resolve,[$cnf( $equal(or(or(cin,and(carry,t5)),xor(carry,or(cin,and(carry,t5)))),or(cin,and(carry,t5))) )],[refute_0_16227,refute_0_16230]) ).
cnf(refute_0_16232,plain,
or(or(cin,not(t1)),Z) = or(cin,or(not(t1),Z)),
inference(subst,[],[or_associative:[bind(X,$fot(cin)),bind(Y,$fot(not(t1)))]]) ).
cnf(refute_0_16233,plain,
( or(cin,not(t1)) != or(carry,cin)
| or(or(cin,not(t1)),Z) != or(cin,or(not(t1),Z))
| or(or(carry,cin),Z) = or(cin,or(not(t1),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(cin,not(t1)),Z),or(cin,or(not(t1),Z))) ),[0,0],$fot(or(carry,cin))]]) ).
cnf(refute_0_16234,plain,
( or(or(cin,not(t1)),Z) != or(cin,or(not(t1),Z))
| or(or(carry,cin),Z) = or(cin,or(not(t1),Z)) ),
inference(resolve,[$cnf( $equal(or(cin,not(t1)),or(carry,cin)) )],[refute_0_11757,refute_0_16233]) ).
cnf(refute_0_16235,plain,
or(or(carry,cin),Z) = or(cin,or(not(t1),Z)),
inference(resolve,[$cnf( $equal(or(or(cin,not(t1)),Z),or(cin,or(not(t1),Z))) )],[refute_0_16232,refute_0_16234]) ).
cnf(refute_0_16236,plain,
or(or(carry,cin),Z) = or(carry,or(cin,Z)),
inference(subst,[],[or_associative:[bind(X,$fot(carry)),bind(Y,$fot(cin))]]) ).
cnf(refute_0_16237,plain,
( or(or(carry,cin),Z) != or(carry,or(cin,Z))
| or(or(carry,cin),Z) != or(cin,or(not(t1),Z))
| or(carry,or(cin,Z)) = or(cin,or(not(t1),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(carry,cin),Z),or(cin,or(not(t1),Z))) ),[0],$fot(or(carry,or(cin,Z)))]]) ).
cnf(refute_0_16238,plain,
( or(or(carry,cin),Z) != or(cin,or(not(t1),Z))
| or(carry,or(cin,Z)) = or(cin,or(not(t1),Z)) ),
inference(resolve,[$cnf( $equal(or(or(carry,cin),Z),or(carry,or(cin,Z))) )],[refute_0_16236,refute_0_16237]) ).
cnf(refute_0_16239,plain,
or(carry,or(cin,Z)) = or(cin,or(not(t1),Z)),
inference(resolve,[$cnf( $equal(or(or(carry,cin),Z),or(cin,or(not(t1),Z))) )],[refute_0_16235,refute_0_16238]) ).
cnf(refute_0_16240,plain,
( or(carry,or(cin,Z)) != or(cin,or(not(t1),Z))
| or(cin,or(not(t1),Z)) = or(carry,or(cin,Z)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(carry,or(cin,Z)))),bind(Y0,$fot(or(cin,or(not(t1),Z))))]]) ).
cnf(refute_0_16241,plain,
or(cin,or(not(t1),Z)) = or(carry,or(cin,Z)),
inference(resolve,[$cnf( $equal(or(carry,or(cin,Z)),or(cin,or(not(t1),Z))) )],[refute_0_16239,refute_0_16240]) ).
cnf(refute_0_16242,plain,
or(cin,or(not(t1),xor(carry,or(carry,cin)))) = or(carry,or(cin,xor(carry,or(carry,cin)))),
inference(subst,[],[refute_0_16241:[bind(Z,$fot(xor(carry,or(carry,cin))))]]) ).
cnf(refute_0_16243,plain,
or(not(t1),xor(carry,or(cin,and(carry,t5)))) = or(not(t1),xor(carry,or(cin,and(carry,t5)))),
introduced(tautology,[refl,[$fot(or(not(t1),xor(carry,or(cin,and(carry,t5)))))]]) ).
cnf(refute_0_16244,plain,
( or(not(t1),xor(carry,or(cin,and(carry,t5)))) != or(not(t1),xor(carry,or(cin,and(carry,t5))))
| xor(carry,or(cin,and(carry,t5))) != xor(carry,or(carry,cin))
| or(not(t1),xor(carry,or(cin,and(carry,t5)))) = or(not(t1),xor(carry,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t1),xor(carry,or(cin,and(carry,t5)))),or(not(t1),xor(carry,or(cin,and(carry,t5))))) ),[1,1],$fot(xor(carry,or(carry,cin)))]]) ).
cnf(refute_0_16245,plain,
( xor(carry,or(cin,and(carry,t5))) != xor(carry,or(carry,cin))
| or(not(t1),xor(carry,or(cin,and(carry,t5)))) = or(not(t1),xor(carry,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(or(not(t1),xor(carry,or(cin,and(carry,t5)))),or(not(t1),xor(carry,or(cin,and(carry,t5))))) )],[refute_0_16243,refute_0_16244]) ).
cnf(refute_0_16246,plain,
or(not(t1),xor(carry,or(cin,and(carry,t5)))) = or(not(t1),xor(carry,or(carry,cin))),
inference(resolve,[$cnf( $equal(xor(carry,or(cin,and(carry,t5))),xor(carry,or(carry,cin))) )],[refute_0_11768,refute_0_16245]) ).
cnf(refute_0_16247,plain,
or(and(carry,t5),xor(carry,or(cin,and(carry,t5)))) = or(and(carry,t5),xor(carry,or(cin,and(carry,t5)))),
introduced(tautology,[refl,[$fot(or(and(carry,t5),xor(carry,or(cin,and(carry,t5)))))]]) ).
cnf(refute_0_16248,plain,
( and(carry,t5) != not(t1)
| or(and(carry,t5),xor(carry,or(cin,and(carry,t5)))) != or(and(carry,t5),xor(carry,or(cin,and(carry,t5))))
| or(and(carry,t5),xor(carry,or(cin,and(carry,t5)))) = or(not(t1),xor(carry,or(cin,and(carry,t5)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(carry,t5),xor(carry,or(cin,and(carry,t5)))),or(and(carry,t5),xor(carry,or(cin,and(carry,t5))))) ),[1,0],$fot(not(t1))]]) ).
cnf(refute_0_16249,plain,
( and(carry,t5) != not(t1)
| or(and(carry,t5),xor(carry,or(cin,and(carry,t5)))) = or(not(t1),xor(carry,or(cin,and(carry,t5)))) ),
inference(resolve,[$cnf( $equal(or(and(carry,t5),xor(carry,or(cin,and(carry,t5)))),or(and(carry,t5),xor(carry,or(cin,and(carry,t5))))) )],[refute_0_16247,refute_0_16248]) ).
cnf(refute_0_16250,plain,
or(and(carry,t5),xor(carry,or(cin,and(carry,t5)))) = or(not(t1),xor(carry,or(cin,and(carry,t5)))),
inference(resolve,[$cnf( $equal(and(carry,t5),not(t1)) )],[refute_0_8966,refute_0_16249]) ).
cnf(refute_0_16251,plain,
( or(and(carry,t5),xor(carry,or(cin,and(carry,t5)))) != or(not(t1),xor(carry,or(cin,and(carry,t5))))
| or(not(t1),xor(carry,or(cin,and(carry,t5)))) != or(not(t1),xor(carry,or(carry,cin)))
| or(and(carry,t5),xor(carry,or(cin,and(carry,t5)))) = or(not(t1),xor(carry,or(carry,cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(carry,t5),xor(carry,or(cin,and(carry,t5)))))),bind(Y0,$fot(or(not(t1),xor(carry,or(cin,and(carry,t5)))))),bind(Z0,$fot(or(not(t1),xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_16252,plain,
( or(not(t1),xor(carry,or(cin,and(carry,t5)))) != or(not(t1),xor(carry,or(carry,cin)))
| or(and(carry,t5),xor(carry,or(cin,and(carry,t5)))) = or(not(t1),xor(carry,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(or(and(carry,t5),xor(carry,or(cin,and(carry,t5)))),or(not(t1),xor(carry,or(cin,and(carry,t5))))) )],[refute_0_16250,refute_0_16251]) ).
cnf(refute_0_16253,plain,
or(and(carry,t5),xor(carry,or(cin,and(carry,t5)))) = or(not(t1),xor(carry,or(carry,cin))),
inference(resolve,[$cnf( $equal(or(not(t1),xor(carry,or(cin,and(carry,t5)))),or(not(t1),xor(carry,or(carry,cin)))) )],[refute_0_16246,refute_0_16252]) ).
cnf(refute_0_16254,plain,
or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5))))) = or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5))))),
introduced(tautology,[refl,[$fot(or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5))))))]]) ).
cnf(refute_0_16255,plain,
( or(and(carry,t5),xor(carry,or(cin,and(carry,t5)))) != or(not(t1),xor(carry,or(carry,cin)))
| or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5))))) != or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5)))))
| or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5))))) = or(cin,or(not(t1),xor(carry,or(carry,cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5))))),or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5)))))) ),[1,1],$fot(or(not(t1),xor(carry,or(carry,cin))))]]) ).
cnf(refute_0_16256,plain,
( or(and(carry,t5),xor(carry,or(cin,and(carry,t5)))) != or(not(t1),xor(carry,or(carry,cin)))
| or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5))))) = or(cin,or(not(t1),xor(carry,or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5))))),or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5)))))) )],[refute_0_16254,refute_0_16255]) ).
cnf(refute_0_16257,plain,
or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5))))) = or(cin,or(not(t1),xor(carry,or(carry,cin)))),
inference(resolve,[$cnf( $equal(or(and(carry,t5),xor(carry,or(cin,and(carry,t5)))),or(not(t1),xor(carry,or(carry,cin)))) )],[refute_0_16253,refute_0_16256]) ).
cnf(refute_0_16258,plain,
( or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5))))) != or(cin,or(not(t1),xor(carry,or(carry,cin))))
| or(cin,or(not(t1),xor(carry,or(carry,cin)))) != or(carry,or(cin,xor(carry,or(carry,cin))))
| or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5))))) = or(carry,or(cin,xor(carry,or(carry,cin)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5))))))),bind(Y0,$fot(or(cin,or(not(t1),xor(carry,or(carry,cin)))))),bind(Z0,$fot(or(carry,or(cin,xor(carry,or(carry,cin))))))]]) ).
cnf(refute_0_16259,plain,
( or(cin,or(not(t1),xor(carry,or(carry,cin)))) != or(carry,or(cin,xor(carry,or(carry,cin))))
| or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5))))) = or(carry,or(cin,xor(carry,or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5))))),or(cin,or(not(t1),xor(carry,or(carry,cin))))) )],[refute_0_16257,refute_0_16258]) ).
cnf(refute_0_16260,plain,
or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5))))) = or(carry,or(cin,xor(carry,or(carry,cin)))),
inference(resolve,[$cnf( $equal(or(cin,or(not(t1),xor(carry,or(carry,cin)))),or(carry,or(cin,xor(carry,or(carry,cin))))) )],[refute_0_16242,refute_0_16259]) ).
cnf(refute_0_16261,plain,
( or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5))))) != or(carry,or(cin,xor(carry,or(carry,cin))))
| or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5))))) != or(cin,and(carry,t5))
| or(carry,or(cin,xor(carry,or(carry,cin)))) = or(cin,and(carry,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5))))),or(cin,and(carry,t5))) ),[0],$fot(or(carry,or(cin,xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_16262,plain,
( or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5))))) != or(cin,and(carry,t5))
| or(carry,or(cin,xor(carry,or(carry,cin)))) = or(cin,and(carry,t5)) ),
inference(resolve,[$cnf( $equal(or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5))))),or(carry,or(cin,xor(carry,or(carry,cin))))) )],[refute_0_16260,refute_0_16261]) ).
cnf(refute_0_16263,plain,
( or(carry,or(cin,xor(carry,or(carry,cin)))) != or(cin,and(carry,t5))
| or(cin,and(carry,t5)) != or(carry,cin)
| or(carry,or(cin,xor(carry,or(carry,cin)))) = or(carry,cin) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(carry,or(cin,xor(carry,or(carry,cin)))),or(carry,cin)) ),[0],$fot(or(cin,and(carry,t5)))]]) ).
cnf(refute_0_16264,plain,
( or(carry,or(cin,xor(carry,or(carry,cin)))) != or(cin,and(carry,t5))
| or(carry,or(cin,xor(carry,or(carry,cin)))) = or(carry,cin) ),
inference(resolve,[$cnf( $equal(or(cin,and(carry,t5)),or(carry,cin)) )],[refute_0_11764,refute_0_16263]) ).
cnf(refute_0_16265,plain,
( or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5))))) != or(cin,and(carry,t5))
| or(carry,or(cin,xor(carry,or(carry,cin)))) = or(carry,cin) ),
inference(resolve,[$cnf( $equal(or(carry,or(cin,xor(carry,or(carry,cin)))),or(cin,and(carry,t5))) )],[refute_0_16262,refute_0_16264]) ).
cnf(refute_0_16266,plain,
or(carry,or(cin,xor(carry,or(carry,cin)))) = or(carry,cin),
inference(resolve,[$cnf( $equal(or(cin,or(and(carry,t5),xor(carry,or(cin,and(carry,t5))))),or(cin,and(carry,t5))) )],[refute_0_16231,refute_0_16265]) ).
cnf(refute_0_16267,plain,
( or(carry,or(cin,xor(carry,or(carry,cin)))) != or(carry,cin)
| or(or(X,carry),or(cin,xor(carry,or(carry,cin)))) != or(X,or(carry,or(cin,xor(carry,or(carry,cin)))))
| or(or(X,carry),or(cin,xor(carry,or(carry,cin)))) = or(X,or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(X,carry),or(cin,xor(carry,or(carry,cin)))),or(X,or(carry,or(cin,xor(carry,or(carry,cin)))))) ),[1,1],$fot(or(carry,cin))]]) ).
cnf(refute_0_16268,plain,
( or(or(X,carry),or(cin,xor(carry,or(carry,cin)))) != or(X,or(carry,or(cin,xor(carry,or(carry,cin)))))
| or(or(X,carry),or(cin,xor(carry,or(carry,cin)))) = or(X,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(or(carry,or(cin,xor(carry,or(carry,cin)))),or(carry,cin)) )],[refute_0_16266,refute_0_16267]) ).
cnf(refute_0_16269,plain,
or(or(X,carry),or(cin,xor(carry,or(carry,cin)))) = or(X,or(carry,cin)),
inference(resolve,[$cnf( $equal(or(or(X,carry),or(cin,xor(carry,or(carry,cin)))),or(X,or(carry,or(cin,xor(carry,or(carry,cin)))))) )],[refute_0_16223,refute_0_16268]) ).
cnf(refute_0_16270,plain,
or(or(X,carry),xor(carry,or(carry,cin))) = or(X,or(carry,xor(carry,or(carry,cin)))),
inference(subst,[],[or_associative:[bind(Y,$fot(carry)),bind(Z,$fot(xor(carry,or(carry,cin))))]]) ).
cnf(refute_0_16271,plain,
or(cin,or(or(X,carry),xor(carry,or(carry,cin)))) = or(cin,or(or(X,carry),xor(carry,or(carry,cin)))),
introduced(tautology,[refl,[$fot(or(cin,or(or(X,carry),xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_16272,plain,
( or(cin,or(or(X,carry),xor(carry,or(carry,cin)))) != or(cin,or(or(X,carry),xor(carry,or(carry,cin))))
| or(or(X,carry),xor(carry,or(carry,cin))) != or(X,or(carry,xor(carry,or(carry,cin))))
| or(cin,or(or(X,carry),xor(carry,or(carry,cin)))) = or(cin,or(X,or(carry,xor(carry,or(carry,cin))))) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,or(or(X,carry),xor(carry,or(carry,cin)))),or(cin,or(or(X,carry),xor(carry,or(carry,cin))))) ),[1,1],$fot(or(X,or(carry,xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_16273,plain,
( or(or(X,carry),xor(carry,or(carry,cin))) != or(X,or(carry,xor(carry,or(carry,cin))))
| or(cin,or(or(X,carry),xor(carry,or(carry,cin)))) = or(cin,or(X,or(carry,xor(carry,or(carry,cin))))) ),
inference(resolve,[$cnf( $equal(or(cin,or(or(X,carry),xor(carry,or(carry,cin)))),or(cin,or(or(X,carry),xor(carry,or(carry,cin))))) )],[refute_0_16271,refute_0_16272]) ).
cnf(refute_0_16274,plain,
or(cin,or(or(X,carry),xor(carry,or(carry,cin)))) = or(cin,or(X,or(carry,xor(carry,or(carry,cin))))),
inference(resolve,[$cnf( $equal(or(or(X,carry),xor(carry,or(carry,cin))),or(X,or(carry,xor(carry,or(carry,cin))))) )],[refute_0_16270,refute_0_16273]) ).
cnf(refute_0_16275,plain,
or(or(X,carry),or(cin,xor(carry,or(carry,cin)))) = or(cin,or(or(X,carry),xor(carry,or(carry,cin)))),
inference(subst,[],[refute_0_267:[bind(X_37,$fot(or(X,carry))),bind(X_38,$fot(cin)),bind(X_39,$fot(xor(carry,or(carry,cin))))]]) ).
cnf(refute_0_16276,plain,
( or(cin,or(or(X,carry),xor(carry,or(carry,cin)))) != or(cin,or(X,or(carry,xor(carry,or(carry,cin)))))
| or(or(X,carry),or(cin,xor(carry,or(carry,cin)))) != or(cin,or(or(X,carry),xor(carry,or(carry,cin))))
| or(or(X,carry),or(cin,xor(carry,or(carry,cin)))) = or(cin,or(X,or(carry,xor(carry,or(carry,cin))))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(or(X,carry),or(cin,xor(carry,or(carry,cin)))))),bind(Y0,$fot(or(cin,or(or(X,carry),xor(carry,or(carry,cin)))))),bind(Z0,$fot(or(cin,or(X,or(carry,xor(carry,or(carry,cin)))))))]]) ).
cnf(refute_0_16277,plain,
( or(cin,or(or(X,carry),xor(carry,or(carry,cin)))) != or(cin,or(X,or(carry,xor(carry,or(carry,cin)))))
| or(or(X,carry),or(cin,xor(carry,or(carry,cin)))) = or(cin,or(X,or(carry,xor(carry,or(carry,cin))))) ),
inference(resolve,[$cnf( $equal(or(or(X,carry),or(cin,xor(carry,or(carry,cin)))),or(cin,or(or(X,carry),xor(carry,or(carry,cin))))) )],[refute_0_16275,refute_0_16276]) ).
cnf(refute_0_16278,plain,
or(or(X,carry),or(cin,xor(carry,or(carry,cin)))) = or(cin,or(X,or(carry,xor(carry,or(carry,cin))))),
inference(resolve,[$cnf( $equal(or(cin,or(or(X,carry),xor(carry,or(carry,cin)))),or(cin,or(X,or(carry,xor(carry,or(carry,cin)))))) )],[refute_0_16274,refute_0_16277]) ).
cnf(refute_0_16279,plain,
( or(or(X,carry),or(cin,xor(carry,or(carry,cin)))) != or(X,or(carry,cin))
| or(or(X,carry),or(cin,xor(carry,or(carry,cin)))) != or(cin,or(X,or(carry,xor(carry,or(carry,cin)))))
| or(cin,or(X,or(carry,xor(carry,or(carry,cin))))) = or(X,or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(X,carry),or(cin,xor(carry,or(carry,cin)))),or(X,or(carry,cin))) ),[0],$fot(or(cin,or(X,or(carry,xor(carry,or(carry,cin))))))]]) ).
cnf(refute_0_16280,plain,
( or(or(X,carry),or(cin,xor(carry,or(carry,cin)))) != or(X,or(carry,cin))
| or(cin,or(X,or(carry,xor(carry,or(carry,cin))))) = or(X,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(or(or(X,carry),or(cin,xor(carry,or(carry,cin)))),or(cin,or(X,or(carry,xor(carry,or(carry,cin)))))) )],[refute_0_16278,refute_0_16279]) ).
cnf(refute_0_16281,plain,
or(cin,or(X,or(carry,xor(carry,or(carry,cin))))) = or(X,or(carry,cin)),
inference(resolve,[$cnf( $equal(or(or(X,carry),or(cin,xor(carry,or(carry,cin)))),or(X,or(carry,cin))) )],[refute_0_16269,refute_0_16280]) ).
cnf(refute_0_16282,plain,
or(X,or(carry,xor(carry,or(carry,cin)))) = or(X,or(carry,xor(carry,or(carry,cin)))),
introduced(tautology,[refl,[$fot(or(X,or(carry,xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_16283,plain,
( or(X,or(carry,xor(carry,or(carry,cin)))) != or(X,or(carry,xor(carry,or(carry,cin))))
| or(carry,xor(carry,or(carry,cin))) != or(carry,cin)
| or(X,or(carry,xor(carry,or(carry,cin)))) = or(X,or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(X,or(carry,xor(carry,or(carry,cin)))),or(X,or(carry,xor(carry,or(carry,cin))))) ),[1,1],$fot(or(carry,cin))]]) ).
cnf(refute_0_16284,plain,
( or(carry,xor(carry,or(carry,cin))) != or(carry,cin)
| or(X,or(carry,xor(carry,or(carry,cin)))) = or(X,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(or(X,or(carry,xor(carry,or(carry,cin)))),or(X,or(carry,xor(carry,or(carry,cin))))) )],[refute_0_16282,refute_0_16283]) ).
cnf(refute_0_16285,plain,
or(X,or(carry,xor(carry,or(carry,cin)))) = or(X,or(carry,cin)),
inference(resolve,[$cnf( $equal(or(carry,xor(carry,or(carry,cin))),or(carry,cin)) )],[refute_0_16142,refute_0_16284]) ).
cnf(refute_0_16286,plain,
or(cin,or(X,or(carry,xor(carry,or(carry,cin))))) = or(cin,or(X,or(carry,xor(carry,or(carry,cin))))),
introduced(tautology,[refl,[$fot(or(cin,or(X,or(carry,xor(carry,or(carry,cin))))))]]) ).
cnf(refute_0_16287,plain,
( or(X,or(carry,xor(carry,or(carry,cin)))) != or(X,or(carry,cin))
| or(cin,or(X,or(carry,xor(carry,or(carry,cin))))) != or(cin,or(X,or(carry,xor(carry,or(carry,cin)))))
| or(cin,or(X,or(carry,xor(carry,or(carry,cin))))) = or(cin,or(X,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,or(X,or(carry,xor(carry,or(carry,cin))))),or(cin,or(X,or(carry,xor(carry,or(carry,cin)))))) ),[1,1],$fot(or(X,or(carry,cin)))]]) ).
cnf(refute_0_16288,plain,
( or(X,or(carry,xor(carry,or(carry,cin)))) != or(X,or(carry,cin))
| or(cin,or(X,or(carry,xor(carry,or(carry,cin))))) = or(cin,or(X,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(or(cin,or(X,or(carry,xor(carry,or(carry,cin))))),or(cin,or(X,or(carry,xor(carry,or(carry,cin)))))) )],[refute_0_16286,refute_0_16287]) ).
cnf(refute_0_16289,plain,
or(cin,or(X,or(carry,xor(carry,or(carry,cin))))) = or(cin,or(X,or(carry,cin))),
inference(resolve,[$cnf( $equal(or(X,or(carry,xor(carry,or(carry,cin)))),or(X,or(carry,cin))) )],[refute_0_16285,refute_0_16288]) ).
cnf(refute_0_16290,plain,
( or(cin,or(X,or(carry,xor(carry,or(carry,cin))))) != or(X,or(carry,cin))
| or(cin,or(X,or(carry,xor(carry,or(carry,cin))))) != or(cin,or(X,or(carry,cin)))
| or(cin,or(X,or(carry,cin))) = or(X,or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,or(X,or(carry,xor(carry,or(carry,cin))))),or(X,or(carry,cin))) ),[0],$fot(or(cin,or(X,or(carry,cin))))]]) ).
cnf(refute_0_16291,plain,
( or(cin,or(X,or(carry,xor(carry,or(carry,cin))))) != or(X,or(carry,cin))
| or(cin,or(X,or(carry,cin))) = or(X,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(or(cin,or(X,or(carry,xor(carry,or(carry,cin))))),or(cin,or(X,or(carry,cin)))) )],[refute_0_16289,refute_0_16290]) ).
cnf(refute_0_16292,plain,
or(cin,or(X,or(carry,cin))) = or(X,or(carry,cin)),
inference(resolve,[$cnf( $equal(or(cin,or(X,or(carry,xor(carry,or(carry,cin))))),or(X,or(carry,cin))) )],[refute_0_16281,refute_0_16291]) ).
cnf(refute_0_16293,plain,
or(cin,or(not(X),or(carry,cin))) = or(not(X),or(carry,cin)),
inference(subst,[],[refute_0_16292:[bind(X,$fot(not(X)))]]) ).
cnf(refute_0_16294,plain,
( or(cin,or(not(X),or(carry,cin))) != or(not(X),or(carry,cin))
| or(not(X),or(carry,cin)) != or(carry,not(and(t7,X)))
| or(cin,or(not(X),or(carry,cin))) = or(carry,not(and(t7,X))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(cin,or(not(X),or(carry,cin))))),bind(Y0,$fot(or(not(X),or(carry,cin)))),bind(Z0,$fot(or(carry,not(and(t7,X)))))]]) ).
cnf(refute_0_16295,plain,
( or(not(X),or(carry,cin)) != or(carry,not(and(t7,X)))
| or(cin,or(not(X),or(carry,cin))) = or(carry,not(and(t7,X))) ),
inference(resolve,[$cnf( $equal(or(cin,or(not(X),or(carry,cin))),or(not(X),or(carry,cin))) )],[refute_0_16293,refute_0_16294]) ).
cnf(refute_0_16296,plain,
or(cin,or(not(X),or(carry,cin))) = or(carry,not(and(t7,X))),
inference(resolve,[$cnf( $equal(or(not(X),or(carry,cin)),or(carry,not(and(t7,X)))) )],[refute_0_16222,refute_0_16295]) ).
cnf(refute_0_16297,plain,
not(or(cin,or(not(X),or(carry,cin)))) = not(or(cin,or(not(X),or(carry,cin)))),
introduced(tautology,[refl,[$fot(not(or(cin,or(not(X),or(carry,cin)))))]]) ).
cnf(refute_0_16298,plain,
( not(or(cin,or(not(X),or(carry,cin)))) != not(or(cin,or(not(X),or(carry,cin))))
| or(cin,or(not(X),or(carry,cin))) != or(carry,not(and(t7,X)))
| not(or(cin,or(not(X),or(carry,cin)))) = not(or(carry,not(and(t7,X)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(cin,or(not(X),or(carry,cin)))),not(or(cin,or(not(X),or(carry,cin))))) ),[1,0],$fot(or(carry,not(and(t7,X))))]]) ).
cnf(refute_0_16299,plain,
( or(cin,or(not(X),or(carry,cin))) != or(carry,not(and(t7,X)))
| not(or(cin,or(not(X),or(carry,cin)))) = not(or(carry,not(and(t7,X)))) ),
inference(resolve,[$cnf( $equal(not(or(cin,or(not(X),or(carry,cin)))),not(or(cin,or(not(X),or(carry,cin))))) )],[refute_0_16297,refute_0_16298]) ).
cnf(refute_0_16300,plain,
not(or(cin,or(not(X),or(carry,cin)))) = not(or(carry,not(and(t7,X)))),
inference(resolve,[$cnf( $equal(or(cin,or(not(X),or(carry,cin))),or(carry,not(and(t7,X)))) )],[refute_0_16296,refute_0_16299]) ).
cnf(refute_0_16301,plain,
( not(or(carry,not(and(t7,X)))) != and(t1,and(not(cin),X))
| not(or(cin,or(not(X),or(carry,cin)))) != not(or(carry,not(and(t7,X))))
| not(or(cin,or(not(X),or(carry,cin)))) = and(t1,and(not(cin),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(cin,or(not(X),or(carry,cin)))))),bind(Y0,$fot(not(or(carry,not(and(t7,X)))))),bind(Z0,$fot(and(t1,and(not(cin),X))))]]) ).
cnf(refute_0_16302,plain,
( not(or(carry,not(and(t7,X)))) != and(t1,and(not(cin),X))
| not(or(cin,or(not(X),or(carry,cin)))) = and(t1,and(not(cin),X)) ),
inference(resolve,[$cnf( $equal(not(or(cin,or(not(X),or(carry,cin)))),not(or(carry,not(and(t7,X))))) )],[refute_0_16300,refute_0_16301]) ).
cnf(refute_0_16303,plain,
not(or(cin,or(not(X),or(carry,cin)))) = and(t1,and(not(cin),X)),
inference(resolve,[$cnf( $equal(not(or(carry,not(and(t7,X)))),and(t1,and(not(cin),X))) )],[refute_0_16196,refute_0_16302]) ).
cnf(refute_0_16304,plain,
not(or(X,or(not(X_29),X_30))) = and(not(X),not(or(not(X_29),X_30))),
inference(subst,[],[or_demorgan:[bind(Y,$fot(or(not(X_29),X_30)))]]) ).
cnf(refute_0_16305,plain,
( not(or(X,or(not(X_29),X_30))) != and(not(X),not(or(not(X_29),X_30)))
| not(or(not(X_29),X_30)) != and(X_29,not(X_30))
| not(or(X,or(not(X_29),X_30))) = and(not(X),and(X_29,not(X_30))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,or(not(X_29),X_30))),and(not(X),not(or(not(X_29),X_30)))) ),[1,1],$fot(and(X_29,not(X_30)))]]) ).
cnf(refute_0_16306,plain,
( not(or(X,or(not(X_29),X_30))) != and(not(X),not(or(not(X_29),X_30)))
| not(or(X,or(not(X_29),X_30))) = and(not(X),and(X_29,not(X_30))) ),
inference(resolve,[$cnf( $equal(not(or(not(X_29),X_30)),and(X_29,not(X_30))) )],[refute_0_160,refute_0_16305]) ).
cnf(refute_0_16307,plain,
not(or(X,or(not(X_29),X_30))) = and(not(X),and(X_29,not(X_30))),
inference(resolve,[$cnf( $equal(not(or(X,or(not(X_29),X_30))),and(not(X),not(or(not(X_29),X_30)))) )],[refute_0_16304,refute_0_16306]) ).
cnf(refute_0_16308,plain,
( not(or(X,or(not(X_29),X_30))) != and(not(X),and(X_29,not(X_30)))
| and(not(X),and(X_29,not(X_30))) = not(or(X,or(not(X_29),X_30))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X,or(not(X_29),X_30))))),bind(Y0,$fot(and(not(X),and(X_29,not(X_30)))))]]) ).
cnf(refute_0_16309,plain,
and(not(X),and(X_29,not(X_30))) = not(or(X,or(not(X_29),X_30))),
inference(resolve,[$cnf( $equal(not(or(X,or(not(X_29),X_30))),and(not(X),and(X_29,not(X_30)))) )],[refute_0_16307,refute_0_16308]) ).
cnf(refute_0_16310,plain,
and(not(cin),and(X,not(or(carry,cin)))) = not(or(cin,or(not(X),or(carry,cin)))),
inference(subst,[],[refute_0_16309:[bind(X,$fot(cin)),bind(X_29,$fot(X)),bind(X_30,$fot(or(carry,cin)))]]) ).
cnf(refute_0_16311,plain,
( and(not(cin),and(X,not(or(carry,cin)))) != not(or(cin,or(not(X),or(carry,cin))))
| not(or(cin,or(not(X),or(carry,cin)))) != and(t1,and(not(cin),X))
| and(not(cin),and(X,not(or(carry,cin)))) = and(t1,and(not(cin),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(cin),and(X,not(or(carry,cin)))))),bind(Y0,$fot(not(or(cin,or(not(X),or(carry,cin)))))),bind(Z0,$fot(and(t1,and(not(cin),X))))]]) ).
cnf(refute_0_16312,plain,
( not(or(cin,or(not(X),or(carry,cin)))) != and(t1,and(not(cin),X))
| and(not(cin),and(X,not(or(carry,cin)))) = and(t1,and(not(cin),X)) ),
inference(resolve,[$cnf( $equal(and(not(cin),and(X,not(or(carry,cin)))),not(or(cin,or(not(X),or(carry,cin))))) )],[refute_0_16310,refute_0_16311]) ).
cnf(refute_0_16313,plain,
and(not(cin),and(X,not(or(carry,cin)))) = and(t1,and(not(cin),X)),
inference(resolve,[$cnf( $equal(not(or(cin,or(not(X),or(carry,cin)))),and(t1,and(not(cin),X))) )],[refute_0_16303,refute_0_16312]) ).
cnf(refute_0_16314,plain,
and(X,and(t1,xor(t1,or(carry,cin)))) = and(X,and(t1,xor(t1,or(carry,cin)))),
introduced(tautology,[refl,[$fot(and(X,and(t1,xor(t1,or(carry,cin)))))]]) ).
cnf(refute_0_16315,plain,
( and(X,and(t1,xor(t1,or(carry,cin)))) != and(X,and(t1,xor(t1,or(carry,cin))))
| and(t1,xor(t1,or(carry,cin))) != not(or(carry,cin))
| and(X,and(t1,xor(t1,or(carry,cin)))) = and(X,not(or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(X,and(t1,xor(t1,or(carry,cin)))),and(X,and(t1,xor(t1,or(carry,cin))))) ),[1,1],$fot(not(or(carry,cin)))]]) ).
cnf(refute_0_16316,plain,
( and(t1,xor(t1,or(carry,cin))) != not(or(carry,cin))
| and(X,and(t1,xor(t1,or(carry,cin)))) = and(X,not(or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(X,and(t1,xor(t1,or(carry,cin)))),and(X,and(t1,xor(t1,or(carry,cin))))) )],[refute_0_16314,refute_0_16315]) ).
cnf(refute_0_16317,plain,
and(X,and(t1,xor(t1,or(carry,cin)))) = and(X,not(or(carry,cin))),
inference(resolve,[$cnf( $equal(and(t1,xor(t1,or(carry,cin))),not(or(carry,cin))) )],[refute_0_16151,refute_0_16316]) ).
cnf(refute_0_16318,plain,
and(and(X,t1),xor(t1,or(carry,cin))) = and(X,and(t1,xor(t1,or(carry,cin)))),
inference(subst,[],[and_associative:[bind(Y,$fot(t1)),bind(Z,$fot(xor(t1,or(carry,cin))))]]) ).
cnf(refute_0_16319,plain,
( and(X,and(t1,xor(t1,or(carry,cin)))) != and(X,not(or(carry,cin)))
| and(and(X,t1),xor(t1,or(carry,cin))) != and(X,and(t1,xor(t1,or(carry,cin))))
| and(and(X,t1),xor(t1,or(carry,cin))) = and(X,not(or(carry,cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(X,t1),xor(t1,or(carry,cin))))),bind(Y0,$fot(and(X,and(t1,xor(t1,or(carry,cin)))))),bind(Z0,$fot(and(X,not(or(carry,cin)))))]]) ).
cnf(refute_0_16320,plain,
( and(X,and(t1,xor(t1,or(carry,cin)))) != and(X,not(or(carry,cin)))
| and(and(X,t1),xor(t1,or(carry,cin))) = and(X,not(or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(and(X,t1),xor(t1,or(carry,cin))),and(X,and(t1,xor(t1,or(carry,cin))))) )],[refute_0_16318,refute_0_16319]) ).
cnf(refute_0_16321,plain,
and(and(X,t1),xor(t1,or(carry,cin))) = and(X,not(or(carry,cin))),
inference(resolve,[$cnf( $equal(and(X,and(t1,xor(t1,or(carry,cin)))),and(X,not(or(carry,cin)))) )],[refute_0_16317,refute_0_16320]) ).
cnf(refute_0_16322,plain,
and(not(cin),and(and(X,t1),xor(t1,or(carry,cin)))) = and(not(cin),and(and(X,t1),xor(t1,or(carry,cin)))),
introduced(tautology,[refl,[$fot(and(not(cin),and(and(X,t1),xor(t1,or(carry,cin)))))]]) ).
cnf(refute_0_16323,plain,
( and(and(X,t1),xor(t1,or(carry,cin))) != and(X,not(or(carry,cin)))
| and(not(cin),and(and(X,t1),xor(t1,or(carry,cin)))) != and(not(cin),and(and(X,t1),xor(t1,or(carry,cin))))
| and(not(cin),and(and(X,t1),xor(t1,or(carry,cin)))) = and(not(cin),and(X,not(or(carry,cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(cin),and(and(X,t1),xor(t1,or(carry,cin)))),and(not(cin),and(and(X,t1),xor(t1,or(carry,cin))))) ),[1,1],$fot(and(X,not(or(carry,cin))))]]) ).
cnf(refute_0_16324,plain,
( and(and(X,t1),xor(t1,or(carry,cin))) != and(X,not(or(carry,cin)))
| and(not(cin),and(and(X,t1),xor(t1,or(carry,cin)))) = and(not(cin),and(X,not(or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(and(not(cin),and(and(X,t1),xor(t1,or(carry,cin)))),and(not(cin),and(and(X,t1),xor(t1,or(carry,cin))))) )],[refute_0_16322,refute_0_16323]) ).
cnf(refute_0_16325,plain,
and(not(cin),and(and(X,t1),xor(t1,or(carry,cin)))) = and(not(cin),and(X,not(or(carry,cin)))),
inference(resolve,[$cnf( $equal(and(and(X,t1),xor(t1,or(carry,cin))),and(X,not(or(carry,cin)))) )],[refute_0_16321,refute_0_16324]) ).
cnf(refute_0_16326,plain,
( and(not(cin),and(X,not(or(carry,cin)))) != and(t1,and(not(cin),X))
| and(not(cin),and(and(X,t1),xor(t1,or(carry,cin)))) != and(not(cin),and(X,not(or(carry,cin))))
| and(not(cin),and(and(X,t1),xor(t1,or(carry,cin)))) = and(t1,and(not(cin),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(cin),and(and(X,t1),xor(t1,or(carry,cin)))))),bind(Y0,$fot(and(not(cin),and(X,not(or(carry,cin)))))),bind(Z0,$fot(and(t1,and(not(cin),X))))]]) ).
cnf(refute_0_16327,plain,
( and(not(cin),and(X,not(or(carry,cin)))) != and(t1,and(not(cin),X))
| and(not(cin),and(and(X,t1),xor(t1,or(carry,cin)))) = and(t1,and(not(cin),X)) ),
inference(resolve,[$cnf( $equal(and(not(cin),and(and(X,t1),xor(t1,or(carry,cin)))),and(not(cin),and(X,not(or(carry,cin))))) )],[refute_0_16325,refute_0_16326]) ).
cnf(refute_0_16328,plain,
and(not(cin),and(and(X,t1),xor(t1,or(carry,cin)))) = and(t1,and(not(cin),X)),
inference(resolve,[$cnf( $equal(and(not(cin),and(X,not(or(carry,cin)))),and(t1,and(not(cin),X))) )],[refute_0_16313,refute_0_16327]) ).
cnf(refute_0_16329,plain,
and(and(X,t1),and(not(cin),xor(t1,or(carry,cin)))) = and(not(cin),and(and(X,t1),xor(t1,or(carry,cin)))),
inference(subst,[],[refute_0_4220:[bind(X,$fot(not(cin))),bind(Z,$fot(xor(t1,or(carry,cin)))),bind(X_669,$fot(and(X,t1)))]]) ).
cnf(refute_0_16330,plain,
( and(and(X,t1),and(not(cin),xor(t1,or(carry,cin)))) != and(not(cin),and(and(X,t1),xor(t1,or(carry,cin))))
| and(not(cin),and(and(X,t1),xor(t1,or(carry,cin)))) != and(t1,and(not(cin),X))
| and(and(X,t1),and(not(cin),xor(t1,or(carry,cin)))) = and(t1,and(not(cin),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(X,t1),and(not(cin),xor(t1,or(carry,cin)))))),bind(Y0,$fot(and(not(cin),and(and(X,t1),xor(t1,or(carry,cin)))))),bind(Z0,$fot(and(t1,and(not(cin),X))))]]) ).
cnf(refute_0_16331,plain,
( and(not(cin),and(and(X,t1),xor(t1,or(carry,cin)))) != and(t1,and(not(cin),X))
| and(and(X,t1),and(not(cin),xor(t1,or(carry,cin)))) = and(t1,and(not(cin),X)) ),
inference(resolve,[$cnf( $equal(and(and(X,t1),and(not(cin),xor(t1,or(carry,cin)))),and(not(cin),and(and(X,t1),xor(t1,or(carry,cin))))) )],[refute_0_16329,refute_0_16330]) ).
cnf(refute_0_16332,plain,
and(and(X,t1),and(not(cin),xor(t1,or(carry,cin)))) = and(t1,and(not(cin),X)),
inference(resolve,[$cnf( $equal(and(not(cin),and(and(X,t1),xor(t1,or(carry,cin)))),and(t1,and(not(cin),X))) )],[refute_0_16328,refute_0_16331]) ).
cnf(refute_0_16333,plain,
( and(and(X,t1),and(not(cin),xor(t1,or(carry,cin)))) != and(X,not(or(carry,cin)))
| and(and(X,t1),and(not(cin),xor(t1,or(carry,cin)))) != and(t1,and(not(cin),X))
| and(t1,and(not(cin),X)) = and(X,not(or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X,t1),and(not(cin),xor(t1,or(carry,cin)))),and(X,not(or(carry,cin)))) ),[0],$fot(and(t1,and(not(cin),X)))]]) ).
cnf(refute_0_16334,plain,
( and(and(X,t1),and(not(cin),xor(t1,or(carry,cin)))) != and(X,not(or(carry,cin)))
| and(t1,and(not(cin),X)) = and(X,not(or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(and(X,t1),and(not(cin),xor(t1,or(carry,cin)))),and(t1,and(not(cin),X))) )],[refute_0_16332,refute_0_16333]) ).
cnf(refute_0_16335,plain,
and(t1,and(not(cin),X)) = and(X,not(or(carry,cin))),
inference(resolve,[$cnf( $equal(and(and(X,t1),and(not(cin),xor(t1,or(carry,cin)))),and(X,not(or(carry,cin)))) )],[refute_0_16178,refute_0_16334]) ).
cnf(refute_0_16336,plain,
( and(t1,and(not(cin),X)) != and(X,not(or(carry,cin)))
| and(X,not(or(carry,cin))) = and(t1,and(not(cin),X)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t1,and(not(cin),X)))),bind(Y0,$fot(and(X,not(or(carry,cin)))))]]) ).
cnf(refute_0_16337,plain,
and(X,not(or(carry,cin))) = and(t1,and(not(cin),X)),
inference(resolve,[$cnf( $equal(and(t1,and(not(cin),X)),and(X,not(or(carry,cin)))) )],[refute_0_16335,refute_0_16336]) ).
cnf(refute_0_16338,plain,
and(t4,not(or(carry,cin))) = and(t1,and(not(cin),t4)),
inference(subst,[],[refute_0_16337:[bind(X,$fot(t4))]]) ).
cnf(refute_0_16339,plain,
( and(t1,and(not(cin),t4)) != not(t6)
| and(t4,not(or(carry,cin))) != and(t1,and(not(cin),t4))
| and(t4,not(or(carry,cin))) = not(t6) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t4,not(or(carry,cin))))),bind(Y0,$fot(and(t1,and(not(cin),t4)))),bind(Z0,$fot(not(t6)))]]) ).
cnf(refute_0_16340,plain,
( and(t1,and(not(cin),t4)) != not(t6)
| and(t4,not(or(carry,cin))) = not(t6) ),
inference(resolve,[$cnf( $equal(and(t4,not(or(carry,cin))),and(t1,and(not(cin),t4))) )],[refute_0_16338,refute_0_16339]) ).
cnf(refute_0_16341,plain,
and(t4,not(or(carry,cin))) = not(t6),
inference(resolve,[$cnf( $equal(and(t1,and(not(cin),t4)),not(t6)) )],[refute_0_16037,refute_0_16340]) ).
cnf(refute_0_16342,plain,
or(and(t5,or(carry,cin)),and(t4,not(or(carry,cin)))) = or(and(t5,or(carry,cin)),and(t4,not(or(carry,cin)))),
introduced(tautology,[refl,[$fot(or(and(t5,or(carry,cin)),and(t4,not(or(carry,cin)))))]]) ).
cnf(refute_0_16343,plain,
( and(t4,not(or(carry,cin))) != not(t6)
| or(and(t5,or(carry,cin)),and(t4,not(or(carry,cin)))) != or(and(t5,or(carry,cin)),and(t4,not(or(carry,cin))))
| or(and(t5,or(carry,cin)),and(t4,not(or(carry,cin)))) = or(and(t5,or(carry,cin)),not(t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t5,or(carry,cin)),and(t4,not(or(carry,cin)))),or(and(t5,or(carry,cin)),and(t4,not(or(carry,cin))))) ),[1,1],$fot(not(t6))]]) ).
cnf(refute_0_16344,plain,
( and(t4,not(or(carry,cin))) != not(t6)
| or(and(t5,or(carry,cin)),and(t4,not(or(carry,cin)))) = or(and(t5,or(carry,cin)),not(t6)) ),
inference(resolve,[$cnf( $equal(or(and(t5,or(carry,cin)),and(t4,not(or(carry,cin)))),or(and(t5,or(carry,cin)),and(t4,not(or(carry,cin))))) )],[refute_0_16342,refute_0_16343]) ).
cnf(refute_0_16345,plain,
or(and(t5,or(carry,cin)),and(t4,not(or(carry,cin)))) = or(and(t5,or(carry,cin)),not(t6)),
inference(resolve,[$cnf( $equal(and(t4,not(or(carry,cin))),not(t6)) )],[refute_0_16341,refute_0_16344]) ).
cnf(refute_0_16346,plain,
( or(and(t5,or(carry,cin)),and(t4,not(or(carry,cin)))) != or(and(t5,or(carry,cin)),not(t6))
| or(and(t5,or(carry,cin)),not(t6)) != and(t5,or(carry,sum))
| or(and(t5,or(carry,cin)),and(t4,not(or(carry,cin)))) = and(t5,or(carry,sum)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(t5,or(carry,cin)),and(t4,not(or(carry,cin)))))),bind(Y0,$fot(or(and(t5,or(carry,cin)),not(t6)))),bind(Z0,$fot(and(t5,or(carry,sum))))]]) ).
cnf(refute_0_16347,plain,
( or(and(t5,or(carry,cin)),not(t6)) != and(t5,or(carry,sum))
| or(and(t5,or(carry,cin)),and(t4,not(or(carry,cin)))) = and(t5,or(carry,sum)) ),
inference(resolve,[$cnf( $equal(or(and(t5,or(carry,cin)),and(t4,not(or(carry,cin)))),or(and(t5,or(carry,cin)),not(t6))) )],[refute_0_16345,refute_0_16346]) ).
cnf(refute_0_16348,plain,
or(and(t5,or(carry,cin)),and(t4,not(or(carry,cin)))) = and(t5,or(carry,sum)),
inference(resolve,[$cnf( $equal(or(and(t5,or(carry,cin)),not(t6)),and(t5,or(carry,sum))) )],[refute_0_15980,refute_0_16347]) ).
cnf(refute_0_16349,plain,
or(and(t4,not(or(carry,cin))),and(t5,or(carry,cin))) = or(and(t5,or(carry,cin)),and(t4,not(or(carry,cin)))),
inference(subst,[],[refute_0_5:[bind(X,$fot(and(t5,or(carry,cin)))),bind(Y,$fot(and(t4,not(or(carry,cin)))))]]) ).
cnf(refute_0_16350,plain,
( or(and(t4,not(or(carry,cin))),and(t5,or(carry,cin))) != or(and(t5,or(carry,cin)),and(t4,not(or(carry,cin))))
| or(and(t5,or(carry,cin)),and(t4,not(or(carry,cin)))) != and(t5,or(carry,sum))
| or(and(t4,not(or(carry,cin))),and(t5,or(carry,cin))) = and(t5,or(carry,sum)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(t4,not(or(carry,cin))),and(t5,or(carry,cin))))),bind(Y0,$fot(or(and(t5,or(carry,cin)),and(t4,not(or(carry,cin)))))),bind(Z0,$fot(and(t5,or(carry,sum))))]]) ).
cnf(refute_0_16351,plain,
( or(and(t5,or(carry,cin)),and(t4,not(or(carry,cin)))) != and(t5,or(carry,sum))
| or(and(t4,not(or(carry,cin))),and(t5,or(carry,cin))) = and(t5,or(carry,sum)) ),
inference(resolve,[$cnf( $equal(or(and(t4,not(or(carry,cin))),and(t5,or(carry,cin))),or(and(t5,or(carry,cin)),and(t4,not(or(carry,cin))))) )],[refute_0_16349,refute_0_16350]) ).
cnf(refute_0_16352,plain,
or(and(t4,not(or(carry,cin))),and(t5,or(carry,cin))) = and(t5,or(carry,sum)),
inference(resolve,[$cnf( $equal(or(and(t5,or(carry,cin)),and(t4,not(or(carry,cin)))),and(t5,or(carry,sum))) )],[refute_0_16348,refute_0_16351]) ).
cnf(refute_0_16353,plain,
( or(and(t4,not(or(carry,cin))),and(t5,or(carry,cin))) != and(t5,or(carry,sum))
| or(and(t4,not(or(carry,cin))),and(t5,or(carry,cin))) != xor(t4,or(carry,cin))
| and(t5,or(carry,sum)) = xor(t4,or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,not(or(carry,cin))),and(t5,or(carry,cin))),xor(t4,or(carry,cin))) ),[0],$fot(and(t5,or(carry,sum)))]]) ).
cnf(refute_0_16354,plain,
( or(and(t4,not(or(carry,cin))),and(t5,or(carry,cin))) != xor(t4,or(carry,cin))
| and(t5,or(carry,sum)) = xor(t4,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(or(and(t4,not(or(carry,cin))),and(t5,or(carry,cin))),and(t5,or(carry,sum))) )],[refute_0_16352,refute_0_16353]) ).
cnf(refute_0_16355,plain,
and(t5,or(carry,sum)) = xor(t4,or(carry,cin)),
inference(resolve,[$cnf( $equal(or(and(t4,not(or(carry,cin))),and(t5,or(carry,cin))),xor(t4,or(carry,cin))) )],[refute_0_15820,refute_0_16354]) ).
cnf(refute_0_16356,plain,
( and(t5,or(carry,sum)) != xor(t4,or(carry,cin))
| xor(t4,or(carry,cin)) = and(t5,or(carry,sum)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t5,or(carry,sum)))),bind(Y0,$fot(xor(t4,or(carry,cin))))]]) ).
cnf(refute_0_16357,plain,
xor(t4,or(carry,cin)) = and(t5,or(carry,sum)),
inference(resolve,[$cnf( $equal(and(t5,or(carry,sum)),xor(t4,or(carry,cin))) )],[refute_0_16355,refute_0_16356]) ).
cnf(refute_0_16358,plain,
( xor(t4,or(carry,cin)) != and(t5,or(carry,sum))
| xor(t4,xor(or(carry,cin),Z)) != xor(xor(t4,or(carry,cin)),Z)
| xor(t4,xor(or(carry,cin),Z)) = xor(and(t5,or(carry,sum)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,xor(or(carry,cin),Z)),xor(xor(t4,or(carry,cin)),Z)) ),[1,0],$fot(and(t5,or(carry,sum)))]]) ).
cnf(refute_0_16359,plain,
( xor(t4,xor(or(carry,cin),Z)) != xor(xor(t4,or(carry,cin)),Z)
| xor(t4,xor(or(carry,cin),Z)) = xor(and(t5,or(carry,sum)),Z) ),
inference(resolve,[$cnf( $equal(xor(t4,or(carry,cin)),and(t5,or(carry,sum))) )],[refute_0_16357,refute_0_16358]) ).
cnf(refute_0_16360,plain,
xor(t4,xor(or(carry,cin),Z)) = xor(and(t5,or(carry,sum)),Z),
inference(resolve,[$cnf( $equal(xor(t4,xor(or(carry,cin),Z)),xor(xor(t4,or(carry,cin)),Z)) )],[refute_0_15786,refute_0_16359]) ).
cnf(refute_0_16361,plain,
or(sum,and(X_819,t5)) = and(or(sum,X_819),or(sum,t5)),
inference(subst,[],[and_distributive:[bind(X,$fot(sum)),bind(Y,$fot(X_819)),bind(Z,$fot(t5))]]) ).
cnf(refute_0_16362,plain,
or(t5,xor(t5,xor(cin,t6))) = or(t5,xor(t5,xor(cin,t6))),
introduced(tautology,[refl,[$fot(or(t5,xor(t5,xor(cin,t6))))]]) ).
cnf(refute_0_16363,plain,
( or(t5,xor(t5,xor(cin,t6))) != or(t5,xor(t5,xor(cin,t6)))
| xor(t5,xor(cin,t6)) != xor(t6,t7)
| or(t5,xor(t5,xor(cin,t6))) = or(t5,xor(t6,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,xor(t5,xor(cin,t6))),or(t5,xor(t5,xor(cin,t6)))) ),[1,1],$fot(xor(t6,t7))]]) ).
cnf(refute_0_16364,plain,
( xor(t5,xor(cin,t6)) != xor(t6,t7)
| or(t5,xor(t5,xor(cin,t6))) = or(t5,xor(t6,t7)) ),
inference(resolve,[$cnf( $equal(or(t5,xor(t5,xor(cin,t6))),or(t5,xor(t5,xor(cin,t6)))) )],[refute_0_16362,refute_0_16363]) ).
cnf(refute_0_16365,plain,
or(t5,xor(t5,xor(cin,t6))) = or(t5,xor(t6,t7)),
inference(resolve,[$cnf( $equal(xor(t5,xor(cin,t6)),xor(t6,t7)) )],[refute_0_2494,refute_0_16364]) ).
cnf(refute_0_16366,plain,
( or(t5,xor(t5,xor(cin,t6))) != or(t5,xor(t6,t7))
| or(t5,xor(t5,xor(cin,t6))) != t5
| or(t5,xor(t6,t7)) = t5 ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,xor(t5,xor(cin,t6))),t5) ),[0],$fot(or(t5,xor(t6,t7)))]]) ).
cnf(refute_0_16367,plain,
( or(t5,xor(t5,xor(cin,t6))) != t5
| or(t5,xor(t6,t7)) = t5 ),
inference(resolve,[$cnf( $equal(or(t5,xor(t5,xor(cin,t6))),or(t5,xor(t6,t7))) )],[refute_0_16365,refute_0_16366]) ).
cnf(refute_0_16368,plain,
or(t5,xor(t6,t7)) = t5,
inference(resolve,[$cnf( $equal(or(t5,xor(t5,xor(cin,t6))),t5) )],[refute_0_7908,refute_0_16367]) ).
cnf(refute_0_16369,plain,
or(t5,sum) = or(sum,t5),
inference(subst,[],[refute_0_5:[bind(X,$fot(sum)),bind(Y,$fot(t5))]]) ).
cnf(refute_0_16370,plain,
or(t5,xor(t6,t7)) = or(t5,xor(t6,t7)),
introduced(tautology,[refl,[$fot(or(t5,xor(t6,t7)))]]) ).
cnf(refute_0_16371,plain,
( or(t5,xor(t6,t7)) != or(t5,xor(t6,t7))
| xor(t6,t7) != sum
| or(t5,xor(t6,t7)) = or(t5,sum) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,xor(t6,t7)),or(t5,xor(t6,t7))) ),[1,1],$fot(sum)]]) ).
cnf(refute_0_16372,plain,
( xor(t6,t7) != sum
| or(t5,xor(t6,t7)) = or(t5,sum) ),
inference(resolve,[$cnf( $equal(or(t5,xor(t6,t7)),or(t5,xor(t6,t7))) )],[refute_0_16370,refute_0_16371]) ).
cnf(refute_0_16373,plain,
or(t5,xor(t6,t7)) = or(t5,sum),
inference(resolve,[$cnf( $equal(xor(t6,t7),sum) )],[refute_0_1154,refute_0_16372]) ).
cnf(refute_0_16374,plain,
( or(t5,sum) != or(sum,t5)
| or(t5,xor(t6,t7)) != or(t5,sum)
| or(t5,xor(t6,t7)) = or(sum,t5) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t5,xor(t6,t7)))),bind(Y0,$fot(or(t5,sum))),bind(Z0,$fot(or(sum,t5)))]]) ).
cnf(refute_0_16375,plain,
( or(t5,sum) != or(sum,t5)
| or(t5,xor(t6,t7)) = or(sum,t5) ),
inference(resolve,[$cnf( $equal(or(t5,xor(t6,t7)),or(t5,sum)) )],[refute_0_16373,refute_0_16374]) ).
cnf(refute_0_16376,plain,
or(t5,xor(t6,t7)) = or(sum,t5),
inference(resolve,[$cnf( $equal(or(t5,sum),or(sum,t5)) )],[refute_0_16369,refute_0_16375]) ).
cnf(refute_0_16377,plain,
( or(t5,xor(t6,t7)) != or(sum,t5)
| or(t5,xor(t6,t7)) != t5
| or(sum,t5) = t5 ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,xor(t6,t7)),t5) ),[0],$fot(or(sum,t5))]]) ).
cnf(refute_0_16378,plain,
( or(t5,xor(t6,t7)) != t5
| or(sum,t5) = t5 ),
inference(resolve,[$cnf( $equal(or(t5,xor(t6,t7)),or(sum,t5)) )],[refute_0_16376,refute_0_16377]) ).
cnf(refute_0_16379,plain,
or(sum,t5) = t5,
inference(resolve,[$cnf( $equal(or(t5,xor(t6,t7)),t5) )],[refute_0_16368,refute_0_16378]) ).
cnf(refute_0_16380,plain,
( or(sum,and(X_819,t5)) != and(or(sum,X_819),or(sum,t5))
| or(sum,t5) != t5
| or(sum,and(X_819,t5)) = and(or(sum,X_819),t5) ),
introduced(tautology,[equality,[$cnf( $equal(or(sum,and(X_819,t5)),and(or(sum,X_819),or(sum,t5))) ),[1,1],$fot(t5)]]) ).
cnf(refute_0_16381,plain,
( or(sum,and(X_819,t5)) != and(or(sum,X_819),or(sum,t5))
| or(sum,and(X_819,t5)) = and(or(sum,X_819),t5) ),
inference(resolve,[$cnf( $equal(or(sum,t5),t5) )],[refute_0_16379,refute_0_16380]) ).
cnf(refute_0_16382,plain,
or(sum,and(X_819,t5)) = and(or(sum,X_819),t5),
inference(resolve,[$cnf( $equal(or(sum,and(X_819,t5)),and(or(sum,X_819),or(sum,t5))) )],[refute_0_16361,refute_0_16381]) ).
cnf(refute_0_16383,plain,
and(or(sum,X_819),t5) = and(t5,or(sum,X_819)),
inference(subst,[],[refute_0_4252:[bind(X_14,$fot(t5)),bind(X_669,$fot(or(sum,X_819)))]]) ).
cnf(refute_0_16384,plain,
( and(or(sum,X_819),t5) != and(t5,or(sum,X_819))
| or(sum,and(X_819,t5)) != and(or(sum,X_819),t5)
| or(sum,and(X_819,t5)) = and(t5,or(sum,X_819)) ),
introduced(tautology,[equality,[$cnf( $equal(or(sum,and(X_819,t5)),and(or(sum,X_819),t5)) ),[1],$fot(and(t5,or(sum,X_819)))]]) ).
cnf(refute_0_16385,plain,
( or(sum,and(X_819,t5)) != and(or(sum,X_819),t5)
| or(sum,and(X_819,t5)) = and(t5,or(sum,X_819)) ),
inference(resolve,[$cnf( $equal(and(or(sum,X_819),t5),and(t5,or(sum,X_819))) )],[refute_0_16383,refute_0_16384]) ).
cnf(refute_0_16386,plain,
or(sum,and(X_819,t5)) = and(t5,or(sum,X_819)),
inference(resolve,[$cnf( $equal(or(sum,and(X_819,t5)),and(or(sum,X_819),t5)) )],[refute_0_16382,refute_0_16385]) ).
cnf(refute_0_16387,plain,
or(sum,and(carry,t5)) = and(t5,or(sum,carry)),
inference(subst,[],[refute_0_16386:[bind(X_819,$fot(carry))]]) ).
cnf(refute_0_16388,plain,
( and(carry,t5) != not(t1)
| or(sum,and(carry,t5)) != and(t5,or(sum,carry))
| or(sum,not(t1)) = and(t5,or(sum,carry)) ),
introduced(tautology,[equality,[$cnf( $equal(or(sum,and(carry,t5)),and(t5,or(sum,carry))) ),[0,1],$fot(not(t1))]]) ).
cnf(refute_0_16389,plain,
( or(sum,and(carry,t5)) != and(t5,or(sum,carry))
| or(sum,not(t1)) = and(t5,or(sum,carry)) ),
inference(resolve,[$cnf( $equal(and(carry,t5),not(t1)) )],[refute_0_8966,refute_0_16388]) ).
cnf(refute_0_16390,plain,
or(sum,not(t1)) = and(t5,or(sum,carry)),
inference(resolve,[$cnf( $equal(or(sum,and(carry,t5)),and(t5,or(sum,carry))) )],[refute_0_16387,refute_0_16389]) ).
cnf(refute_0_16391,plain,
and(t5,or(sum,carry)) = and(t5,or(carry,sum)),
inference(subst,[],[refute_0_13680:[bind(X_752,$fot(t5)),bind(X_753,$fot(sum)),bind(X_754,$fot(carry))]]) ).
cnf(refute_0_16392,plain,
( and(t5,or(sum,carry)) != and(t5,or(carry,sum))
| or(sum,not(t1)) != and(t5,or(sum,carry))
| or(sum,not(t1)) = and(t5,or(carry,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(or(sum,not(t1)),and(t5,or(sum,carry))) ),[1],$fot(and(t5,or(carry,sum)))]]) ).
cnf(refute_0_16393,plain,
( or(sum,not(t1)) != and(t5,or(sum,carry))
| or(sum,not(t1)) = and(t5,or(carry,sum)) ),
inference(resolve,[$cnf( $equal(and(t5,or(sum,carry)),and(t5,or(carry,sum))) )],[refute_0_16391,refute_0_16392]) ).
cnf(refute_0_16394,plain,
or(sum,not(t1)) = and(t5,or(carry,sum)),
inference(resolve,[$cnf( $equal(or(sum,not(t1)),and(t5,or(sum,carry))) )],[refute_0_16390,refute_0_16393]) ).
cnf(refute_0_16395,plain,
( or(sum,not(t1)) != and(t5,or(carry,sum))
| and(t5,or(carry,sum)) = or(sum,not(t1)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(sum,not(t1)))),bind(Y0,$fot(and(t5,or(carry,sum))))]]) ).
cnf(refute_0_16396,plain,
and(t5,or(carry,sum)) = or(sum,not(t1)),
inference(resolve,[$cnf( $equal(or(sum,not(t1)),and(t5,or(carry,sum))) )],[refute_0_16394,refute_0_16395]) ).
cnf(refute_0_16397,plain,
xor(and(t5,or(carry,sum)),Z) = xor(and(t5,or(carry,sum)),Z),
introduced(tautology,[refl,[$fot(xor(and(t5,or(carry,sum)),Z))]]) ).
cnf(refute_0_16398,plain,
( and(t5,or(carry,sum)) != or(sum,not(t1))
| xor(and(t5,or(carry,sum)),Z) != xor(and(t5,or(carry,sum)),Z)
| xor(and(t5,or(carry,sum)),Z) = xor(or(sum,not(t1)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(and(t5,or(carry,sum)),Z),xor(and(t5,or(carry,sum)),Z)) ),[1,0],$fot(or(sum,not(t1)))]]) ).
cnf(refute_0_16399,plain,
( and(t5,or(carry,sum)) != or(sum,not(t1))
| xor(and(t5,or(carry,sum)),Z) = xor(or(sum,not(t1)),Z) ),
inference(resolve,[$cnf( $equal(xor(and(t5,or(carry,sum)),Z),xor(and(t5,or(carry,sum)),Z)) )],[refute_0_16397,refute_0_16398]) ).
cnf(refute_0_16400,plain,
xor(and(t5,or(carry,sum)),Z) = xor(or(sum,not(t1)),Z),
inference(resolve,[$cnf( $equal(and(t5,or(carry,sum)),or(sum,not(t1))) )],[refute_0_16396,refute_0_16399]) ).
cnf(refute_0_16401,plain,
( xor(and(t5,or(carry,sum)),Z) != xor(or(sum,not(t1)),Z)
| xor(t4,xor(or(carry,cin),Z)) != xor(and(t5,or(carry,sum)),Z)
| xor(t4,xor(or(carry,cin),Z)) = xor(or(sum,not(t1)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,xor(or(carry,cin),Z)),xor(and(t5,or(carry,sum)),Z)) ),[1],$fot(xor(or(sum,not(t1)),Z))]]) ).
cnf(refute_0_16402,plain,
( xor(t4,xor(or(carry,cin),Z)) != xor(and(t5,or(carry,sum)),Z)
| xor(t4,xor(or(carry,cin),Z)) = xor(or(sum,not(t1)),Z) ),
inference(resolve,[$cnf( $equal(xor(and(t5,or(carry,sum)),Z),xor(or(sum,not(t1)),Z)) )],[refute_0_16400,refute_0_16401]) ).
cnf(refute_0_16403,plain,
xor(t4,xor(or(carry,cin),Z)) = xor(or(sum,not(t1)),Z),
inference(resolve,[$cnf( $equal(xor(t4,xor(or(carry,cin),Z)),xor(and(t5,or(carry,sum)),Z)) )],[refute_0_16360,refute_0_16402]) ).
cnf(refute_0_16404,plain,
( xor(carry,xor(sum,xor(and(carry_def,cin),Z))) != xor(t4,xor(or(carry,cin),Z))
| xor(t4,xor(or(carry,cin),Z)) != xor(or(sum,not(t1)),Z)
| xor(carry,xor(sum,xor(and(carry_def,cin),Z))) = xor(or(sum,not(t1)),Z) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(carry,xor(sum,xor(and(carry_def,cin),Z))),xor(or(sum,not(t1)),Z)) ),[0],$fot(xor(t4,xor(or(carry,cin),Z)))]]) ).
cnf(refute_0_16405,plain,
( xor(carry,xor(sum,xor(and(carry_def,cin),Z))) != xor(t4,xor(or(carry,cin),Z))
| xor(carry,xor(sum,xor(and(carry_def,cin),Z))) = xor(or(sum,not(t1)),Z) ),
inference(resolve,[$cnf( $equal(xor(t4,xor(or(carry,cin),Z)),xor(or(sum,not(t1)),Z)) )],[refute_0_16403,refute_0_16404]) ).
cnf(refute_0_16406,plain,
xor(carry,xor(sum,xor(and(carry_def,cin),Z))) = xor(or(sum,not(t1)),Z),
inference(resolve,[$cnf( $equal(xor(carry,xor(sum,xor(and(carry_def,cin),Z))),xor(t4,xor(or(carry,cin),Z))) )],[refute_0_15785,refute_0_16405]) ).
cnf(refute_0_16407,plain,
xor(carry,xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum))))) = xor(or(sum,not(t1)),and(t1,or(cin,sum))),
inference(subst,[],[refute_0_16406:[bind(Z,$fot(and(t1,or(cin,sum))))]]) ).
cnf(refute_0_16408,plain,
( xor(a,xor(t3,xor(t7,xor(and(carry_def,cin),and(t1,or(cin,sum)))))) != xor(carry,xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum)))))
| xor(carry,xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum))))) != xor(or(sum,not(t1)),and(t1,or(cin,sum)))
| xor(a,xor(t3,xor(t7,xor(and(carry_def,cin),and(t1,or(cin,sum)))))) = xor(or(sum,not(t1)),and(t1,or(cin,sum))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(a,xor(t3,xor(t7,xor(and(carry_def,cin),and(t1,or(cin,sum)))))))),bind(Y0,$fot(xor(carry,xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum))))))),bind(Z0,$fot(xor(or(sum,not(t1)),and(t1,or(cin,sum)))))]]) ).
cnf(refute_0_16409,plain,
( xor(carry,xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum))))) != xor(or(sum,not(t1)),and(t1,or(cin,sum)))
| xor(a,xor(t3,xor(t7,xor(and(carry_def,cin),and(t1,or(cin,sum)))))) = xor(or(sum,not(t1)),and(t1,or(cin,sum))) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,xor(t7,xor(and(carry_def,cin),and(t1,or(cin,sum)))))),xor(carry,xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum)))))) )],[refute_0_14867,refute_0_16408]) ).
cnf(refute_0_16410,plain,
xor(a,xor(t3,xor(t7,xor(and(carry_def,cin),and(t1,or(cin,sum)))))) = xor(or(sum,not(t1)),and(t1,or(cin,sum))),
inference(resolve,[$cnf( $equal(xor(carry,xor(sum,xor(and(carry_def,cin),and(t1,or(cin,sum))))),xor(or(sum,not(t1)),and(t1,or(cin,sum)))) )],[refute_0_16407,refute_0_16409]) ).
cnf(refute_0_16411,plain,
( xor(a,xor(t3,xor(t7,xor(and(carry_def,cin),and(t1,or(cin,sum)))))) != xor(carry,ll0)
| xor(a,xor(t3,xor(t7,xor(and(carry_def,cin),and(t1,or(cin,sum)))))) != xor(or(sum,not(t1)),and(t1,or(cin,sum)))
| xor(or(sum,not(t1)),and(t1,or(cin,sum))) = xor(carry,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t3,xor(t7,xor(and(carry_def,cin),and(t1,or(cin,sum)))))),xor(carry,ll0)) ),[0],$fot(xor(or(sum,not(t1)),and(t1,or(cin,sum))))]]) ).
cnf(refute_0_16412,plain,
( xor(a,xor(t3,xor(t7,xor(and(carry_def,cin),and(t1,or(cin,sum)))))) != xor(carry,ll0)
| xor(or(sum,not(t1)),and(t1,or(cin,sum))) = xor(carry,ll0) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,xor(t7,xor(and(carry_def,cin),and(t1,or(cin,sum)))))),xor(or(sum,not(t1)),and(t1,or(cin,sum)))) )],[refute_0_16410,refute_0_16411]) ).
cnf(refute_0_16413,plain,
xor(carry,ll0) = carry,
inference(subst,[],[refute_0_1378:[bind(X_63,$fot(carry))]]) ).
cnf(refute_0_16414,plain,
( xor(carry,ll0) != carry
| xor(or(sum,not(t1)),and(t1,or(cin,sum))) != xor(carry,ll0)
| xor(or(sum,not(t1)),and(t1,or(cin,sum))) = carry ),
introduced(tautology,[equality,[$cnf( $equal(xor(or(sum,not(t1)),and(t1,or(cin,sum))),xor(carry,ll0)) ),[1],$fot(carry)]]) ).
cnf(refute_0_16415,plain,
( xor(or(sum,not(t1)),and(t1,or(cin,sum))) != xor(carry,ll0)
| xor(or(sum,not(t1)),and(t1,or(cin,sum))) = carry ),
inference(resolve,[$cnf( $equal(xor(carry,ll0),carry) )],[refute_0_16413,refute_0_16414]) ).
cnf(refute_0_16416,plain,
( xor(a,xor(t3,xor(t7,xor(and(carry_def,cin),and(t1,or(cin,sum)))))) != xor(carry,ll0)
| xor(or(sum,not(t1)),and(t1,or(cin,sum))) = carry ),
inference(resolve,[$cnf( $equal(xor(or(sum,not(t1)),and(t1,or(cin,sum))),xor(carry,ll0)) )],[refute_0_16412,refute_0_16415]) ).
cnf(refute_0_16417,plain,
xor(or(sum,not(t1)),and(t1,or(cin,sum))) = carry,
inference(resolve,[$cnf( $equal(xor(a,xor(t3,xor(t7,xor(and(carry_def,cin),and(t1,or(cin,sum)))))),xor(carry,ll0)) )],[refute_0_15388,refute_0_16416]) ).
cnf(refute_0_16418,plain,
( xor(or(sum,not(t1)),and(t1,or(cin,sum))) != carry
| xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z)) != xor(xor(or(sum,not(t1)),and(t1,or(cin,sum))),Z)
| xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z)) = xor(carry,Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z)),xor(xor(or(sum,not(t1)),and(t1,or(cin,sum))),Z)) ),[1,0],$fot(carry)]]) ).
cnf(refute_0_16419,plain,
( xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z)) != xor(xor(or(sum,not(t1)),and(t1,or(cin,sum))),Z)
| xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z)) = xor(carry,Z) ),
inference(resolve,[$cnf( $equal(xor(or(sum,not(t1)),and(t1,or(cin,sum))),carry) )],[refute_0_16417,refute_0_16418]) ).
cnf(refute_0_16420,plain,
xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z)) = xor(carry,Z),
inference(resolve,[$cnf( $equal(xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z)),xor(xor(or(sum,not(t1)),and(t1,or(cin,sum))),Z)) )],[refute_0_14866,refute_0_16419]) ).
cnf(refute_0_16421,plain,
not(not(xor(carry_def,Z))) = xor(carry_def,Z),
inference(subst,[],[not_involution:[bind(X,$fot(xor(carry_def,Z)))]]) ).
cnf(refute_0_16422,plain,
xor(or(cin,t1),xor(and(cin,or(a,b)),Z)) = xor(xor(or(cin,t1),and(cin,or(a,b))),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(or(cin,t1))),bind(Y,$fot(and(cin,or(a,b))))]]) ).
cnf(refute_0_16423,plain,
( xor(or(cin,t1),and(cin,or(a,b))) != not(carry_def)
| xor(or(cin,t1),xor(and(cin,or(a,b)),Z)) != xor(xor(or(cin,t1),and(cin,or(a,b))),Z)
| xor(or(cin,t1),xor(and(cin,or(a,b)),Z)) = xor(not(carry_def),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(or(cin,t1),xor(and(cin,or(a,b)),Z)),xor(xor(or(cin,t1),and(cin,or(a,b))),Z)) ),[1,0],$fot(not(carry_def))]]) ).
cnf(refute_0_16424,plain,
( xor(or(cin,t1),xor(and(cin,or(a,b)),Z)) != xor(xor(or(cin,t1),and(cin,or(a,b))),Z)
| xor(or(cin,t1),xor(and(cin,or(a,b)),Z)) = xor(not(carry_def),Z) ),
inference(resolve,[$cnf( $equal(xor(or(cin,t1),and(cin,or(a,b))),not(carry_def)) )],[refute_0_3128,refute_0_16423]) ).
cnf(refute_0_16425,plain,
xor(or(cin,t1),xor(and(cin,or(a,b)),Z)) = xor(not(carry_def),Z),
inference(resolve,[$cnf( $equal(xor(or(cin,t1),xor(and(cin,or(a,b)),Z)),xor(xor(or(cin,t1),and(cin,or(a,b))),Z)) )],[refute_0_16422,refute_0_16424]) ).
cnf(refute_0_16426,plain,
xor(and(cin,or(a,b)),Z) = xor(and(cin,or(a,b)),Z),
introduced(tautology,[refl,[$fot(xor(and(cin,or(a,b)),Z))]]) ).
cnf(refute_0_16427,plain,
( and(cin,or(a,b)) != and(carry_def,or(cin,t1))
| xor(and(cin,or(a,b)),Z) != xor(and(cin,or(a,b)),Z)
| xor(and(cin,or(a,b)),Z) = xor(and(carry_def,or(cin,t1)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(and(cin,or(a,b)),Z),xor(and(cin,or(a,b)),Z)) ),[1,0],$fot(and(carry_def,or(cin,t1)))]]) ).
cnf(refute_0_16428,plain,
( and(cin,or(a,b)) != and(carry_def,or(cin,t1))
| xor(and(cin,or(a,b)),Z) = xor(and(carry_def,or(cin,t1)),Z) ),
inference(resolve,[$cnf( $equal(xor(and(cin,or(a,b)),Z),xor(and(cin,or(a,b)),Z)) )],[refute_0_16426,refute_0_16427]) ).
cnf(refute_0_16429,plain,
xor(and(cin,or(a,b)),Z) = xor(and(carry_def,or(cin,t1)),Z),
inference(resolve,[$cnf( $equal(and(cin,or(a,b)),and(carry_def,or(cin,t1))) )],[refute_0_3848,refute_0_16428]) ).
cnf(refute_0_16430,plain,
xor(or(cin,t1),xor(and(cin,or(a,b)),Z)) = xor(or(cin,t1),xor(and(cin,or(a,b)),Z)),
introduced(tautology,[refl,[$fot(xor(or(cin,t1),xor(and(cin,or(a,b)),Z)))]]) ).
cnf(refute_0_16431,plain,
( xor(and(cin,or(a,b)),Z) != xor(and(carry_def,or(cin,t1)),Z)
| xor(or(cin,t1),xor(and(cin,or(a,b)),Z)) != xor(or(cin,t1),xor(and(cin,or(a,b)),Z))
| xor(or(cin,t1),xor(and(cin,or(a,b)),Z)) = xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(or(cin,t1),xor(and(cin,or(a,b)),Z)),xor(or(cin,t1),xor(and(cin,or(a,b)),Z))) ),[1,1],$fot(xor(and(carry_def,or(cin,t1)),Z))]]) ).
cnf(refute_0_16432,plain,
( xor(and(cin,or(a,b)),Z) != xor(and(carry_def,or(cin,t1)),Z)
| xor(or(cin,t1),xor(and(cin,or(a,b)),Z)) = xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)) ),
inference(resolve,[$cnf( $equal(xor(or(cin,t1),xor(and(cin,or(a,b)),Z)),xor(or(cin,t1),xor(and(cin,or(a,b)),Z))) )],[refute_0_16430,refute_0_16431]) ).
cnf(refute_0_16433,plain,
xor(or(cin,t1),xor(and(cin,or(a,b)),Z)) = xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)),
inference(resolve,[$cnf( $equal(xor(and(cin,or(a,b)),Z),xor(and(carry_def,or(cin,t1)),Z)) )],[refute_0_16429,refute_0_16432]) ).
cnf(refute_0_16434,plain,
( xor(or(cin,t1),xor(and(cin,or(a,b)),Z)) != xor(not(carry_def),Z)
| xor(or(cin,t1),xor(and(cin,or(a,b)),Z)) != xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z))
| xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)) = xor(not(carry_def),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(or(cin,t1),xor(and(cin,or(a,b)),Z)),xor(not(carry_def),Z)) ),[0],$fot(xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)))]]) ).
cnf(refute_0_16435,plain,
( xor(or(cin,t1),xor(and(cin,or(a,b)),Z)) != xor(not(carry_def),Z)
| xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)) = xor(not(carry_def),Z) ),
inference(resolve,[$cnf( $equal(xor(or(cin,t1),xor(and(cin,or(a,b)),Z)),xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z))) )],[refute_0_16433,refute_0_16434]) ).
cnf(refute_0_16436,plain,
xor(not(carry_def),Z) = not(xor(carry_def,Z)),
inference(subst,[],[refute_0_2075:[bind(Y,$fot(Z)),bind(X_63,$fot(carry_def))]]) ).
cnf(refute_0_16437,plain,
( xor(not(carry_def),Z) != not(xor(carry_def,Z))
| xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)) != xor(not(carry_def),Z)
| xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)) = not(xor(carry_def,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)),xor(not(carry_def),Z)) ),[1],$fot(not(xor(carry_def,Z)))]]) ).
cnf(refute_0_16438,plain,
( xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)) != xor(not(carry_def),Z)
| xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)) = not(xor(carry_def,Z)) ),
inference(resolve,[$cnf( $equal(xor(not(carry_def),Z),not(xor(carry_def,Z))) )],[refute_0_16436,refute_0_16437]) ).
cnf(refute_0_16439,plain,
( xor(or(cin,t1),xor(and(cin,or(a,b)),Z)) != xor(not(carry_def),Z)
| xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)) = not(xor(carry_def,Z)) ),
inference(resolve,[$cnf( $equal(xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)),xor(not(carry_def),Z)) )],[refute_0_16435,refute_0_16438]) ).
cnf(refute_0_16440,plain,
xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)) = not(xor(carry_def,Z)),
inference(resolve,[$cnf( $equal(xor(or(cin,t1),xor(and(cin,or(a,b)),Z)),xor(not(carry_def),Z)) )],[refute_0_16425,refute_0_16439]) ).
cnf(refute_0_16441,plain,
xor(or(cin,t1),xor(and(carry_def,cin),Z)) = xor(and(carry_def,cin),xor(or(cin,t1),Z)),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(and(carry_def,cin))),bind(X_334,$fot(or(cin,t1))),bind(X_335,$fot(Z))]]) ).
cnf(refute_0_16442,plain,
xor(and(carry_def,or(cin,t1)),Z) = xor(and(carry_def,or(cin,t1)),Z),
introduced(tautology,[refl,[$fot(xor(and(carry_def,or(cin,t1)),Z))]]) ).
cnf(refute_0_16443,plain,
( and(carry_def,or(cin,t1)) != and(carry_def,cin)
| xor(and(carry_def,or(cin,t1)),Z) != xor(and(carry_def,or(cin,t1)),Z)
| xor(and(carry_def,or(cin,t1)),Z) = xor(and(carry_def,cin),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(and(carry_def,or(cin,t1)),Z),xor(and(carry_def,or(cin,t1)),Z)) ),[1,0],$fot(and(carry_def,cin))]]) ).
cnf(refute_0_16444,plain,
( and(carry_def,or(cin,t1)) != and(carry_def,cin)
| xor(and(carry_def,or(cin,t1)),Z) = xor(and(carry_def,cin),Z) ),
inference(resolve,[$cnf( $equal(xor(and(carry_def,or(cin,t1)),Z),xor(and(carry_def,or(cin,t1)),Z)) )],[refute_0_16442,refute_0_16443]) ).
cnf(refute_0_16445,plain,
xor(and(carry_def,or(cin,t1)),Z) = xor(and(carry_def,cin),Z),
inference(resolve,[$cnf( $equal(and(carry_def,or(cin,t1)),and(carry_def,cin)) )],[refute_0_3902,refute_0_16444]) ).
cnf(refute_0_16446,plain,
xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)) = xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)),
introduced(tautology,[refl,[$fot(xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)))]]) ).
cnf(refute_0_16447,plain,
( xor(and(carry_def,or(cin,t1)),Z) != xor(and(carry_def,cin),Z)
| xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)) != xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z))
| xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)) = xor(or(cin,t1),xor(and(carry_def,cin),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)),xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z))) ),[1,1],$fot(xor(and(carry_def,cin),Z))]]) ).
cnf(refute_0_16448,plain,
( xor(and(carry_def,or(cin,t1)),Z) != xor(and(carry_def,cin),Z)
| xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)) = xor(or(cin,t1),xor(and(carry_def,cin),Z)) ),
inference(resolve,[$cnf( $equal(xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)),xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z))) )],[refute_0_16446,refute_0_16447]) ).
cnf(refute_0_16449,plain,
xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)) = xor(or(cin,t1),xor(and(carry_def,cin),Z)),
inference(resolve,[$cnf( $equal(xor(and(carry_def,or(cin,t1)),Z),xor(and(carry_def,cin),Z)) )],[refute_0_16445,refute_0_16448]) ).
cnf(refute_0_16450,plain,
( xor(or(cin,t1),xor(and(carry_def,cin),Z)) != xor(and(carry_def,cin),xor(or(cin,t1),Z))
| xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)) != xor(or(cin,t1),xor(and(carry_def,cin),Z))
| xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)) = xor(and(carry_def,cin),xor(or(cin,t1),Z)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)))),bind(Y0,$fot(xor(or(cin,t1),xor(and(carry_def,cin),Z)))),bind(Z0,$fot(xor(and(carry_def,cin),xor(or(cin,t1),Z))))]]) ).
cnf(refute_0_16451,plain,
( xor(or(cin,t1),xor(and(carry_def,cin),Z)) != xor(and(carry_def,cin),xor(or(cin,t1),Z))
| xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)) = xor(and(carry_def,cin),xor(or(cin,t1),Z)) ),
inference(resolve,[$cnf( $equal(xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)),xor(or(cin,t1),xor(and(carry_def,cin),Z))) )],[refute_0_16449,refute_0_16450]) ).
cnf(refute_0_16452,plain,
xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)) = xor(and(carry_def,cin),xor(or(cin,t1),Z)),
inference(resolve,[$cnf( $equal(xor(or(cin,t1),xor(and(carry_def,cin),Z)),xor(and(carry_def,cin),xor(or(cin,t1),Z))) )],[refute_0_16441,refute_0_16451]) ).
cnf(refute_0_16453,plain,
( xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)) != not(xor(carry_def,Z))
| xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)) != xor(and(carry_def,cin),xor(or(cin,t1),Z))
| xor(and(carry_def,cin),xor(or(cin,t1),Z)) = not(xor(carry_def,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)),not(xor(carry_def,Z))) ),[0],$fot(xor(and(carry_def,cin),xor(or(cin,t1),Z)))]]) ).
cnf(refute_0_16454,plain,
( xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)) != not(xor(carry_def,Z))
| xor(and(carry_def,cin),xor(or(cin,t1),Z)) = not(xor(carry_def,Z)) ),
inference(resolve,[$cnf( $equal(xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)),xor(and(carry_def,cin),xor(or(cin,t1),Z))) )],[refute_0_16452,refute_0_16453]) ).
cnf(refute_0_16455,plain,
xor(and(carry_def,cin),xor(or(cin,t1),Z)) = not(xor(carry_def,Z)),
inference(resolve,[$cnf( $equal(xor(or(cin,t1),xor(and(carry_def,or(cin,t1)),Z)),not(xor(carry_def,Z))) )],[refute_0_16440,refute_0_16454]) ).
cnf(refute_0_16456,plain,
( xor(and(carry_def,cin),xor(or(cin,t1),Z)) != not(xor(carry_def,Z))
| xor(or(cin,t1),xor(and(carry_def,cin),Z)) != xor(and(carry_def,cin),xor(or(cin,t1),Z))
| xor(or(cin,t1),xor(and(carry_def,cin),Z)) = not(xor(carry_def,Z)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(or(cin,t1),xor(and(carry_def,cin),Z)))),bind(Y0,$fot(xor(and(carry_def,cin),xor(or(cin,t1),Z)))),bind(Z0,$fot(not(xor(carry_def,Z))))]]) ).
cnf(refute_0_16457,plain,
( xor(and(carry_def,cin),xor(or(cin,t1),Z)) != not(xor(carry_def,Z))
| xor(or(cin,t1),xor(and(carry_def,cin),Z)) = not(xor(carry_def,Z)) ),
inference(resolve,[$cnf( $equal(xor(or(cin,t1),xor(and(carry_def,cin),Z)),xor(and(carry_def,cin),xor(or(cin,t1),Z))) )],[refute_0_16441,refute_0_16456]) ).
cnf(refute_0_16458,plain,
xor(or(cin,t1),xor(and(carry_def,cin),Z)) = not(xor(carry_def,Z)),
inference(resolve,[$cnf( $equal(xor(and(carry_def,cin),xor(or(cin,t1),Z)),not(xor(carry_def,Z))) )],[refute_0_16455,refute_0_16457]) ).
cnf(refute_0_16459,plain,
not(xor(or(cin,t1),xor(and(carry_def,cin),Z))) = not(xor(or(cin,t1),xor(and(carry_def,cin),Z))),
introduced(tautology,[refl,[$fot(not(xor(or(cin,t1),xor(and(carry_def,cin),Z))))]]) ).
cnf(refute_0_16460,plain,
( not(xor(or(cin,t1),xor(and(carry_def,cin),Z))) != not(xor(or(cin,t1),xor(and(carry_def,cin),Z)))
| xor(or(cin,t1),xor(and(carry_def,cin),Z)) != not(xor(carry_def,Z))
| not(xor(or(cin,t1),xor(and(carry_def,cin),Z))) = not(not(xor(carry_def,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(or(cin,t1),xor(and(carry_def,cin),Z))),not(xor(or(cin,t1),xor(and(carry_def,cin),Z)))) ),[1,0],$fot(not(xor(carry_def,Z)))]]) ).
cnf(refute_0_16461,plain,
( xor(or(cin,t1),xor(and(carry_def,cin),Z)) != not(xor(carry_def,Z))
| not(xor(or(cin,t1),xor(and(carry_def,cin),Z))) = not(not(xor(carry_def,Z))) ),
inference(resolve,[$cnf( $equal(not(xor(or(cin,t1),xor(and(carry_def,cin),Z))),not(xor(or(cin,t1),xor(and(carry_def,cin),Z)))) )],[refute_0_16459,refute_0_16460]) ).
cnf(refute_0_16462,plain,
not(xor(or(cin,t1),xor(and(carry_def,cin),Z))) = not(not(xor(carry_def,Z))),
inference(resolve,[$cnf( $equal(xor(or(cin,t1),xor(and(carry_def,cin),Z)),not(xor(carry_def,Z))) )],[refute_0_16458,refute_0_16461]) ).
cnf(refute_0_16463,plain,
( not(not(xor(carry_def,Z))) != xor(carry_def,Z)
| not(xor(or(cin,t1),xor(and(carry_def,cin),Z))) != not(not(xor(carry_def,Z)))
| not(xor(or(cin,t1),xor(and(carry_def,cin),Z))) = xor(carry_def,Z) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(or(cin,t1),xor(and(carry_def,cin),Z))))),bind(Y0,$fot(not(not(xor(carry_def,Z))))),bind(Z0,$fot(xor(carry_def,Z)))]]) ).
cnf(refute_0_16464,plain,
( not(not(xor(carry_def,Z))) != xor(carry_def,Z)
| not(xor(or(cin,t1),xor(and(carry_def,cin),Z))) = xor(carry_def,Z) ),
inference(resolve,[$cnf( $equal(not(xor(or(cin,t1),xor(and(carry_def,cin),Z))),not(not(xor(carry_def,Z)))) )],[refute_0_16462,refute_0_16463]) ).
cnf(refute_0_16465,plain,
not(xor(or(cin,t1),xor(and(carry_def,cin),Z))) = xor(carry_def,Z),
inference(resolve,[$cnf( $equal(not(not(xor(carry_def,Z))),xor(carry_def,Z)) )],[refute_0_16421,refute_0_16464]) ).
cnf(refute_0_16466,plain,
xor(sum,xor(or(sum,not(t1)),Z)) = xor(xor(sum,or(sum,not(t1))),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(sum)),bind(Y,$fot(or(sum,not(t1))))]]) ).
cnf(refute_0_16467,plain,
xor(cin,xor(t4,and(t5,or(carry,sum)))) = xor(sum,and(t5,or(carry,sum))),
inference(subst,[],[refute_0_5968:[bind(Z,$fot(and(t5,or(carry,sum))))]]) ).
cnf(refute_0_16468,plain,
xor(t4,xor(t4,or(carry,cin))) = or(carry,cin),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(t4)),bind(X_335,$fot(or(carry,cin)))]]) ).
cnf(refute_0_16469,plain,
( xor(t4,or(carry,cin)) != and(t5,or(carry,sum))
| xor(t4,xor(t4,or(carry,cin))) != or(carry,cin)
| xor(t4,and(t5,or(carry,sum))) = or(carry,cin) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,xor(t4,or(carry,cin))),or(carry,cin)) ),[0,1],$fot(and(t5,or(carry,sum)))]]) ).
cnf(refute_0_16470,plain,
( xor(t4,xor(t4,or(carry,cin))) != or(carry,cin)
| xor(t4,and(t5,or(carry,sum))) = or(carry,cin) ),
inference(resolve,[$cnf( $equal(xor(t4,or(carry,cin)),and(t5,or(carry,sum))) )],[refute_0_16357,refute_0_16469]) ).
cnf(refute_0_16471,plain,
xor(t4,and(t5,or(carry,sum))) = or(carry,cin),
inference(resolve,[$cnf( $equal(xor(t4,xor(t4,or(carry,cin))),or(carry,cin)) )],[refute_0_16468,refute_0_16470]) ).
cnf(refute_0_16472,plain,
( xor(cin,xor(t4,and(t5,or(carry,sum)))) != xor(sum,and(t5,or(carry,sum)))
| xor(t4,and(t5,or(carry,sum))) != or(carry,cin)
| xor(cin,or(carry,cin)) = xor(sum,and(t5,or(carry,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t4,and(t5,or(carry,sum)))),xor(sum,and(t5,or(carry,sum)))) ),[0,1],$fot(or(carry,cin))]]) ).
cnf(refute_0_16473,plain,
( xor(cin,xor(t4,and(t5,or(carry,sum)))) != xor(sum,and(t5,or(carry,sum)))
| xor(cin,or(carry,cin)) = xor(sum,and(t5,or(carry,sum))) ),
inference(resolve,[$cnf( $equal(xor(t4,and(t5,or(carry,sum))),or(carry,cin)) )],[refute_0_16471,refute_0_16472]) ).
cnf(refute_0_16474,plain,
xor(cin,or(carry,cin)) = xor(sum,and(t5,or(carry,sum))),
inference(resolve,[$cnf( $equal(xor(cin,xor(t4,and(t5,or(carry,sum)))),xor(sum,and(t5,or(carry,sum)))) )],[refute_0_16467,refute_0_16473]) ).
cnf(refute_0_16475,plain,
( xor(cin,or(carry,cin)) != xor(carry,and(carry_def,cin))
| xor(cin,or(carry,cin)) != xor(sum,and(t5,or(carry,sum)))
| xor(carry,and(carry_def,cin)) = xor(sum,and(t5,or(carry,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,or(carry,cin)),xor(sum,and(t5,or(carry,sum)))) ),[0],$fot(xor(carry,and(carry_def,cin)))]]) ).
cnf(refute_0_16476,plain,
( xor(cin,or(carry,cin)) != xor(sum,and(t5,or(carry,sum)))
| xor(carry,and(carry_def,cin)) = xor(sum,and(t5,or(carry,sum))) ),
inference(resolve,[$cnf( $equal(xor(cin,or(carry,cin)),xor(carry,and(carry_def,cin))) )],[refute_0_15694,refute_0_16475]) ).
cnf(refute_0_16477,plain,
xor(carry,and(carry_def,cin)) = xor(sum,and(t5,or(carry,sum))),
inference(resolve,[$cnf( $equal(xor(cin,or(carry,cin)),xor(sum,and(t5,or(carry,sum)))) )],[refute_0_16474,refute_0_16476]) ).
cnf(refute_0_16478,plain,
xor(sum,and(t5,or(carry,sum))) = xor(sum,and(t5,or(carry,sum))),
introduced(tautology,[refl,[$fot(xor(sum,and(t5,or(carry,sum))))]]) ).
cnf(refute_0_16479,plain,
( and(t5,or(carry,sum)) != or(sum,not(t1))
| xor(sum,and(t5,or(carry,sum))) != xor(sum,and(t5,or(carry,sum)))
| xor(sum,and(t5,or(carry,sum))) = xor(sum,or(sum,not(t1))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,and(t5,or(carry,sum))),xor(sum,and(t5,or(carry,sum)))) ),[1,1],$fot(or(sum,not(t1)))]]) ).
cnf(refute_0_16480,plain,
( and(t5,or(carry,sum)) != or(sum,not(t1))
| xor(sum,and(t5,or(carry,sum))) = xor(sum,or(sum,not(t1))) ),
inference(resolve,[$cnf( $equal(xor(sum,and(t5,or(carry,sum))),xor(sum,and(t5,or(carry,sum)))) )],[refute_0_16478,refute_0_16479]) ).
cnf(refute_0_16481,plain,
xor(sum,and(t5,or(carry,sum))) = xor(sum,or(sum,not(t1))),
inference(resolve,[$cnf( $equal(and(t5,or(carry,sum)),or(sum,not(t1))) )],[refute_0_16396,refute_0_16480]) ).
cnf(refute_0_16482,plain,
( xor(carry,and(carry_def,cin)) != xor(sum,and(t5,or(carry,sum)))
| xor(sum,and(t5,or(carry,sum))) != xor(sum,or(sum,not(t1)))
| xor(carry,and(carry_def,cin)) = xor(sum,or(sum,not(t1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(carry,and(carry_def,cin)),xor(sum,or(sum,not(t1)))) ),[0],$fot(xor(sum,and(t5,or(carry,sum))))]]) ).
cnf(refute_0_16483,plain,
( xor(carry,and(carry_def,cin)) != xor(sum,and(t5,or(carry,sum)))
| xor(carry,and(carry_def,cin)) = xor(sum,or(sum,not(t1))) ),
inference(resolve,[$cnf( $equal(xor(sum,and(t5,or(carry,sum))),xor(sum,or(sum,not(t1)))) )],[refute_0_16481,refute_0_16482]) ).
cnf(refute_0_16484,plain,
xor(carry,and(carry_def,cin)) = xor(sum,or(sum,not(t1))),
inference(resolve,[$cnf( $equal(xor(carry,and(carry_def,cin)),xor(sum,and(t5,or(carry,sum)))) )],[refute_0_16477,refute_0_16483]) ).
cnf(refute_0_16485,plain,
( xor(carry,and(carry_def,cin)) != xor(sum,or(sum,not(t1)))
| xor(sum,or(sum,not(t1))) = xor(carry,and(carry_def,cin)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(carry,and(carry_def,cin)))),bind(Y0,$fot(xor(sum,or(sum,not(t1)))))]]) ).
cnf(refute_0_16486,plain,
xor(sum,or(sum,not(t1))) = xor(carry,and(carry_def,cin)),
inference(resolve,[$cnf( $equal(xor(carry,and(carry_def,cin)),xor(sum,or(sum,not(t1)))) )],[refute_0_16484,refute_0_16485]) ).
cnf(refute_0_16487,plain,
( xor(sum,or(sum,not(t1))) != xor(carry,and(carry_def,cin))
| xor(sum,xor(or(sum,not(t1)),Z)) != xor(xor(sum,or(sum,not(t1))),Z)
| xor(sum,xor(or(sum,not(t1)),Z)) = xor(xor(carry,and(carry_def,cin)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,xor(or(sum,not(t1)),Z)),xor(xor(sum,or(sum,not(t1))),Z)) ),[1,0],$fot(xor(carry,and(carry_def,cin)))]]) ).
cnf(refute_0_16488,plain,
( xor(sum,xor(or(sum,not(t1)),Z)) != xor(xor(sum,or(sum,not(t1))),Z)
| xor(sum,xor(or(sum,not(t1)),Z)) = xor(xor(carry,and(carry_def,cin)),Z) ),
inference(resolve,[$cnf( $equal(xor(sum,or(sum,not(t1))),xor(carry,and(carry_def,cin))) )],[refute_0_16486,refute_0_16487]) ).
cnf(refute_0_16489,plain,
xor(sum,xor(or(sum,not(t1)),Z)) = xor(xor(carry,and(carry_def,cin)),Z),
inference(resolve,[$cnf( $equal(xor(sum,xor(or(sum,not(t1)),Z)),xor(xor(sum,or(sum,not(t1))),Z)) )],[refute_0_16466,refute_0_16488]) ).
cnf(refute_0_16490,plain,
( xor(sum,xor(or(sum,not(t1)),Z)) != xor(xor(carry,and(carry_def,cin)),Z)
| xor(xor(carry,and(carry_def,cin)),Z) != xor(carry,xor(and(carry_def,cin),Z))
| xor(sum,xor(or(sum,not(t1)),Z)) = xor(carry,xor(and(carry_def,cin),Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(sum,xor(or(sum,not(t1)),Z)),xor(carry,xor(and(carry_def,cin),Z))) ),[0],$fot(xor(xor(carry,and(carry_def,cin)),Z))]]) ).
cnf(refute_0_16491,plain,
( xor(sum,xor(or(sum,not(t1)),Z)) != xor(xor(carry,and(carry_def,cin)),Z)
| xor(sum,xor(or(sum,not(t1)),Z)) = xor(carry,xor(and(carry_def,cin),Z)) ),
inference(resolve,[$cnf( $equal(xor(xor(carry,and(carry_def,cin)),Z),xor(carry,xor(and(carry_def,cin),Z))) )],[refute_0_15743,refute_0_16490]) ).
cnf(refute_0_16492,plain,
xor(sum,xor(or(sum,not(t1)),Z)) = xor(carry,xor(and(carry_def,cin),Z)),
inference(resolve,[$cnf( $equal(xor(sum,xor(or(sum,not(t1)),Z)),xor(xor(carry,and(carry_def,cin)),Z)) )],[refute_0_16489,refute_0_16491]) ).
cnf(refute_0_16493,plain,
or(and(xor(carry,and(carry_def,cin)),not(Y)),and(not(xor(carry,and(carry_def,cin))),Y)) = xor(xor(carry,and(carry_def,cin)),Y),
inference(subst,[],[refute_0_9:[bind(X,$fot(xor(carry,and(carry_def,cin))))]]) ).
cnf(refute_0_16494,plain,
not(xor(sum,and(t5,or(carry,sum)))) = xor(sum,not(and(t5,or(carry,sum)))),
inference(subst,[],[refute_0_1137:[bind(X_333,$fot(sum)),bind(X_334,$fot(and(t5,or(carry,sum))))]]) ).
cnf(refute_0_16495,plain,
( xor(carry,and(carry_def,cin)) != xor(sum,and(t5,or(carry,sum)))
| xor(sum,and(t5,or(carry,sum))) = xor(carry,and(carry_def,cin)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(carry,and(carry_def,cin)))),bind(Y0,$fot(xor(sum,and(t5,or(carry,sum)))))]]) ).
cnf(refute_0_16496,plain,
xor(sum,and(t5,or(carry,sum))) = xor(carry,and(carry_def,cin)),
inference(resolve,[$cnf( $equal(xor(carry,and(carry_def,cin)),xor(sum,and(t5,or(carry,sum)))) )],[refute_0_16477,refute_0_16495]) ).
cnf(refute_0_16497,plain,
( not(xor(sum,and(t5,or(carry,sum)))) != xor(sum,not(and(t5,or(carry,sum))))
| xor(sum,and(t5,or(carry,sum))) != xor(carry,and(carry_def,cin))
| not(xor(carry,and(carry_def,cin))) = xor(sum,not(and(t5,or(carry,sum)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(sum,and(t5,or(carry,sum)))),xor(sum,not(and(t5,or(carry,sum))))) ),[0,0],$fot(xor(carry,and(carry_def,cin)))]]) ).
cnf(refute_0_16498,plain,
( not(xor(sum,and(t5,or(carry,sum)))) != xor(sum,not(and(t5,or(carry,sum))))
| not(xor(carry,and(carry_def,cin))) = xor(sum,not(and(t5,or(carry,sum)))) ),
inference(resolve,[$cnf( $equal(xor(sum,and(t5,or(carry,sum))),xor(carry,and(carry_def,cin))) )],[refute_0_16496,refute_0_16497]) ).
cnf(refute_0_16499,plain,
not(xor(carry,and(carry_def,cin))) = xor(sum,not(and(t5,or(carry,sum)))),
inference(resolve,[$cnf( $equal(not(xor(sum,and(t5,or(carry,sum)))),xor(sum,not(and(t5,or(carry,sum))))) )],[refute_0_16494,refute_0_16498]) ).
cnf(refute_0_16500,plain,
not(xor(X_333,xor(t4,or(carry,cin)))) = xor(X_333,not(xor(t4,or(carry,cin)))),
inference(subst,[],[refute_0_1137:[bind(X_334,$fot(xor(t4,or(carry,cin))))]]) ).
cnf(refute_0_16501,plain,
not(xor(carry,and(t1,or(cin,sum)))) = xor(carry,not(and(t1,or(cin,sum)))),
inference(subst,[],[refute_0_1137:[bind(X_333,$fot(carry)),bind(X_334,$fot(and(t1,or(cin,sum))))]]) ).
cnf(refute_0_16502,plain,
( not(xor(carry,and(t1,or(cin,sum)))) != xor(carry,not(and(t1,or(cin,sum))))
| xor(carry,and(t1,or(cin,sum))) != xor(t4,or(carry,cin))
| not(xor(t4,or(carry,cin))) = xor(carry,not(and(t1,or(cin,sum)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(carry,and(t1,or(cin,sum)))),xor(carry,not(and(t1,or(cin,sum))))) ),[0,0],$fot(xor(t4,or(carry,cin)))]]) ).
cnf(refute_0_16503,plain,
( not(xor(carry,and(t1,or(cin,sum)))) != xor(carry,not(and(t1,or(cin,sum))))
| not(xor(t4,or(carry,cin))) = xor(carry,not(and(t1,or(cin,sum)))) ),
inference(resolve,[$cnf( $equal(xor(carry,and(t1,or(cin,sum))),xor(t4,or(carry,cin))) )],[refute_0_15771,refute_0_16502]) ).
cnf(refute_0_16504,plain,
not(xor(t4,or(carry,cin))) = xor(carry,not(and(t1,or(cin,sum)))),
inference(resolve,[$cnf( $equal(not(xor(carry,and(t1,or(cin,sum)))),xor(carry,not(and(t1,or(cin,sum))))) )],[refute_0_16501,refute_0_16503]) ).
cnf(refute_0_16505,plain,
xor(carry,xor(t5,and(sum,t1))) = xor(t1,and(sum,t1)),
inference(subst,[],[refute_0_8984:[bind(Z,$fot(and(sum,t1)))]]) ).
cnf(refute_0_16506,plain,
( xor(carry,xor(t5,and(sum,t1))) != xor(t1,and(sum,t1))
| xor(t5,and(sum,t1)) != xor(t4,or(a,t7))
| xor(carry,xor(t4,or(a,t7))) = xor(t1,and(sum,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(t5,and(sum,t1))),xor(t1,and(sum,t1))) ),[0,1],$fot(xor(t4,or(a,t7)))]]) ).
cnf(refute_0_16507,plain,
( xor(carry,xor(t5,and(sum,t1))) != xor(t1,and(sum,t1))
| xor(carry,xor(t4,or(a,t7))) = xor(t1,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(xor(t5,and(sum,t1)),xor(t4,or(a,t7))) )],[refute_0_15351,refute_0_16506]) ).
cnf(refute_0_16508,plain,
xor(carry,xor(t4,or(a,t7))) = xor(t1,and(sum,t1)),
inference(resolve,[$cnf( $equal(xor(carry,xor(t5,and(sum,t1))),xor(t1,and(sum,t1))) )],[refute_0_16505,refute_0_16507]) ).
cnf(refute_0_16509,plain,
not(xor(X_333,and(t1,or(cin,sum)))) = xor(X_333,not(and(t1,or(cin,sum)))),
inference(subst,[],[refute_0_1137:[bind(X_334,$fot(and(t1,or(cin,sum))))]]) ).
cnf(refute_0_16510,plain,
( not(and(t1,or(cin,sum))) != xor(t4,or(a,t7))
| not(xor(X_333,and(t1,or(cin,sum)))) != xor(X_333,not(and(t1,or(cin,sum))))
| not(xor(X_333,and(t1,or(cin,sum)))) = xor(X_333,xor(t4,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(X_333,and(t1,or(cin,sum)))),xor(X_333,not(and(t1,or(cin,sum))))) ),[1,1],$fot(xor(t4,or(a,t7)))]]) ).
cnf(refute_0_16511,plain,
( not(xor(X_333,and(t1,or(cin,sum)))) != xor(X_333,not(and(t1,or(cin,sum))))
| not(xor(X_333,and(t1,or(cin,sum)))) = xor(X_333,xor(t4,or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(and(t1,or(cin,sum))),xor(t4,or(a,t7))) )],[refute_0_13752,refute_0_16510]) ).
cnf(refute_0_16512,plain,
not(xor(X_333,and(t1,or(cin,sum)))) = xor(X_333,xor(t4,or(a,t7))),
inference(resolve,[$cnf( $equal(not(xor(X_333,and(t1,or(cin,sum)))),xor(X_333,not(and(t1,or(cin,sum))))) )],[refute_0_16509,refute_0_16511]) ).
cnf(refute_0_16513,plain,
not(xor(carry,and(t1,or(cin,sum)))) = xor(carry,xor(t4,or(a,t7))),
inference(subst,[],[refute_0_16512:[bind(X_333,$fot(carry))]]) ).
cnf(refute_0_16514,plain,
( not(xor(carry,and(t1,or(cin,sum)))) != xor(carry,xor(t4,or(a,t7)))
| xor(carry,xor(t4,or(a,t7))) != xor(t1,and(sum,t1))
| not(xor(carry,and(t1,or(cin,sum)))) = xor(t1,and(sum,t1)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(carry,and(t1,or(cin,sum)))))),bind(Y0,$fot(xor(carry,xor(t4,or(a,t7))))),bind(Z0,$fot(xor(t1,and(sum,t1))))]]) ).
cnf(refute_0_16515,plain,
( xor(carry,xor(t4,or(a,t7))) != xor(t1,and(sum,t1))
| not(xor(carry,and(t1,or(cin,sum)))) = xor(t1,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(not(xor(carry,and(t1,or(cin,sum)))),xor(carry,xor(t4,or(a,t7)))) )],[refute_0_16513,refute_0_16514]) ).
cnf(refute_0_16516,plain,
not(xor(carry,and(t1,or(cin,sum)))) = xor(t1,and(sum,t1)),
inference(resolve,[$cnf( $equal(xor(carry,xor(t4,or(a,t7))),xor(t1,and(sum,t1))) )],[refute_0_16508,refute_0_16515]) ).
cnf(refute_0_16517,plain,
xor(carry,not(and(t1,or(cin,sum)))) = not(xor(carry,and(t1,or(cin,sum)))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(carry)),bind(X_334,$fot(and(t1,or(cin,sum))))]]) ).
cnf(refute_0_16518,plain,
( not(xor(carry,and(t1,or(cin,sum)))) != xor(t1,and(sum,t1))
| xor(carry,not(and(t1,or(cin,sum)))) != not(xor(carry,and(t1,or(cin,sum))))
| xor(carry,not(and(t1,or(cin,sum)))) = xor(t1,and(sum,t1)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(carry,not(and(t1,or(cin,sum)))))),bind(Y0,$fot(not(xor(carry,and(t1,or(cin,sum)))))),bind(Z0,$fot(xor(t1,and(sum,t1))))]]) ).
cnf(refute_0_16519,plain,
( not(xor(carry,and(t1,or(cin,sum)))) != xor(t1,and(sum,t1))
| xor(carry,not(and(t1,or(cin,sum)))) = xor(t1,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(xor(carry,not(and(t1,or(cin,sum)))),not(xor(carry,and(t1,or(cin,sum))))) )],[refute_0_16517,refute_0_16518]) ).
cnf(refute_0_16520,plain,
xor(carry,not(and(t1,or(cin,sum)))) = xor(t1,and(sum,t1)),
inference(resolve,[$cnf( $equal(not(xor(carry,and(t1,or(cin,sum)))),xor(t1,and(sum,t1))) )],[refute_0_16516,refute_0_16519]) ).
cnf(refute_0_16521,plain,
( not(xor(t4,or(carry,cin))) != xor(carry,not(and(t1,or(cin,sum))))
| xor(carry,not(and(t1,or(cin,sum)))) != xor(t1,and(sum,t1))
| not(xor(t4,or(carry,cin))) = xor(t1,and(sum,t1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(t4,or(carry,cin))),xor(t1,and(sum,t1))) ),[0],$fot(xor(carry,not(and(t1,or(cin,sum)))))]]) ).
cnf(refute_0_16522,plain,
( not(xor(t4,or(carry,cin))) != xor(carry,not(and(t1,or(cin,sum))))
| not(xor(t4,or(carry,cin))) = xor(t1,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(xor(carry,not(and(t1,or(cin,sum)))),xor(t1,and(sum,t1))) )],[refute_0_16520,refute_0_16521]) ).
cnf(refute_0_16523,plain,
not(xor(t4,or(carry,cin))) = xor(t1,and(sum,t1)),
inference(resolve,[$cnf( $equal(not(xor(t4,or(carry,cin))),xor(carry,not(and(t1,or(cin,sum))))) )],[refute_0_16504,refute_0_16522]) ).
cnf(refute_0_16524,plain,
( not(xor(X_333,xor(t4,or(carry,cin)))) != xor(X_333,not(xor(t4,or(carry,cin))))
| not(xor(t4,or(carry,cin))) != xor(t1,and(sum,t1))
| not(xor(X_333,xor(t4,or(carry,cin)))) = xor(X_333,xor(t1,and(sum,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(X_333,xor(t4,or(carry,cin)))),xor(X_333,not(xor(t4,or(carry,cin))))) ),[1,1],$fot(xor(t1,and(sum,t1)))]]) ).
cnf(refute_0_16525,plain,
( not(xor(X_333,xor(t4,or(carry,cin)))) != xor(X_333,not(xor(t4,or(carry,cin))))
| not(xor(X_333,xor(t4,or(carry,cin)))) = xor(X_333,xor(t1,and(sum,t1))) ),
inference(resolve,[$cnf( $equal(not(xor(t4,or(carry,cin))),xor(t1,and(sum,t1))) )],[refute_0_16523,refute_0_16524]) ).
cnf(refute_0_16526,plain,
not(xor(X_333,xor(t4,or(carry,cin)))) = xor(X_333,xor(t1,and(sum,t1))),
inference(resolve,[$cnf( $equal(not(xor(X_333,xor(t4,or(carry,cin)))),xor(X_333,not(xor(t4,or(carry,cin))))) )],[refute_0_16500,refute_0_16525]) ).
cnf(refute_0_16527,plain,
xor(X_333,xor(t4,or(carry,cin))) = xor(X_333,xor(t4,or(carry,cin))),
introduced(tautology,[refl,[$fot(xor(X_333,xor(t4,or(carry,cin))))]]) ).
cnf(refute_0_16528,plain,
( xor(X_333,xor(t4,or(carry,cin))) != xor(X_333,xor(t4,or(carry,cin)))
| xor(t4,or(carry,cin)) != and(t5,or(carry,sum))
| xor(X_333,xor(t4,or(carry,cin))) = xor(X_333,and(t5,or(carry,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,xor(t4,or(carry,cin))),xor(X_333,xor(t4,or(carry,cin)))) ),[1,1],$fot(and(t5,or(carry,sum)))]]) ).
cnf(refute_0_16529,plain,
( xor(t4,or(carry,cin)) != and(t5,or(carry,sum))
| xor(X_333,xor(t4,or(carry,cin))) = xor(X_333,and(t5,or(carry,sum))) ),
inference(resolve,[$cnf( $equal(xor(X_333,xor(t4,or(carry,cin))),xor(X_333,xor(t4,or(carry,cin)))) )],[refute_0_16527,refute_0_16528]) ).
cnf(refute_0_16530,plain,
xor(X_333,xor(t4,or(carry,cin))) = xor(X_333,and(t5,or(carry,sum))),
inference(resolve,[$cnf( $equal(xor(t4,or(carry,cin)),and(t5,or(carry,sum))) )],[refute_0_16357,refute_0_16529]) ).
cnf(refute_0_16531,plain,
not(xor(X_333,xor(t4,or(carry,cin)))) = not(xor(X_333,xor(t4,or(carry,cin)))),
introduced(tautology,[refl,[$fot(not(xor(X_333,xor(t4,or(carry,cin)))))]]) ).
cnf(refute_0_16532,plain,
( not(xor(X_333,xor(t4,or(carry,cin)))) != not(xor(X_333,xor(t4,or(carry,cin))))
| xor(X_333,xor(t4,or(carry,cin))) != xor(X_333,and(t5,or(carry,sum)))
| not(xor(X_333,xor(t4,or(carry,cin)))) = not(xor(X_333,and(t5,or(carry,sum)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(X_333,xor(t4,or(carry,cin)))),not(xor(X_333,xor(t4,or(carry,cin))))) ),[1,0],$fot(xor(X_333,and(t5,or(carry,sum))))]]) ).
cnf(refute_0_16533,plain,
( xor(X_333,xor(t4,or(carry,cin))) != xor(X_333,and(t5,or(carry,sum)))
| not(xor(X_333,xor(t4,or(carry,cin)))) = not(xor(X_333,and(t5,or(carry,sum)))) ),
inference(resolve,[$cnf( $equal(not(xor(X_333,xor(t4,or(carry,cin)))),not(xor(X_333,xor(t4,or(carry,cin))))) )],[refute_0_16531,refute_0_16532]) ).
cnf(refute_0_16534,plain,
not(xor(X_333,xor(t4,or(carry,cin)))) = not(xor(X_333,and(t5,or(carry,sum)))),
inference(resolve,[$cnf( $equal(xor(X_333,xor(t4,or(carry,cin))),xor(X_333,and(t5,or(carry,sum)))) )],[refute_0_16530,refute_0_16533]) ).
cnf(refute_0_16535,plain,
( not(xor(X_333,xor(t4,or(carry,cin)))) != not(xor(X_333,and(t5,or(carry,sum))))
| not(xor(X_333,xor(t4,or(carry,cin)))) != xor(X_333,xor(t1,and(sum,t1)))
| not(xor(X_333,and(t5,or(carry,sum)))) = xor(X_333,xor(t1,and(sum,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(X_333,xor(t4,or(carry,cin)))),xor(X_333,xor(t1,and(sum,t1)))) ),[0],$fot(not(xor(X_333,and(t5,or(carry,sum)))))]]) ).
cnf(refute_0_16536,plain,
( not(xor(X_333,xor(t4,or(carry,cin)))) != xor(X_333,xor(t1,and(sum,t1)))
| not(xor(X_333,and(t5,or(carry,sum)))) = xor(X_333,xor(t1,and(sum,t1))) ),
inference(resolve,[$cnf( $equal(not(xor(X_333,xor(t4,or(carry,cin)))),not(xor(X_333,and(t5,or(carry,sum))))) )],[refute_0_16534,refute_0_16535]) ).
cnf(refute_0_16537,plain,
not(xor(X_333,and(t5,or(carry,sum)))) = xor(X_333,xor(t1,and(sum,t1))),
inference(resolve,[$cnf( $equal(not(xor(X_333,xor(t4,or(carry,cin)))),xor(X_333,xor(t1,and(sum,t1)))) )],[refute_0_16526,refute_0_16536]) ).
cnf(refute_0_16538,plain,
not(xor(sum,and(t5,or(carry,sum)))) = xor(sum,xor(t1,and(sum,t1))),
inference(subst,[],[refute_0_16537:[bind(X_333,$fot(sum))]]) ).
cnf(refute_0_16539,plain,
xor(sum,not(and(t5,or(carry,sum)))) = not(xor(sum,and(t5,or(carry,sum)))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(sum)),bind(X_334,$fot(and(t5,or(carry,sum))))]]) ).
cnf(refute_0_16540,plain,
( not(xor(sum,and(t5,or(carry,sum)))) != xor(sum,xor(t1,and(sum,t1)))
| xor(sum,not(and(t5,or(carry,sum)))) != not(xor(sum,and(t5,or(carry,sum))))
| xor(sum,not(and(t5,or(carry,sum)))) = xor(sum,xor(t1,and(sum,t1))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(sum,not(and(t5,or(carry,sum)))))),bind(Y0,$fot(not(xor(sum,and(t5,or(carry,sum)))))),bind(Z0,$fot(xor(sum,xor(t1,and(sum,t1)))))]]) ).
cnf(refute_0_16541,plain,
( not(xor(sum,and(t5,or(carry,sum)))) != xor(sum,xor(t1,and(sum,t1)))
| xor(sum,not(and(t5,or(carry,sum)))) = xor(sum,xor(t1,and(sum,t1))) ),
inference(resolve,[$cnf( $equal(xor(sum,not(and(t5,or(carry,sum)))),not(xor(sum,and(t5,or(carry,sum))))) )],[refute_0_16539,refute_0_16540]) ).
cnf(refute_0_16542,plain,
xor(sum,not(and(t5,or(carry,sum)))) = xor(sum,xor(t1,and(sum,t1))),
inference(resolve,[$cnf( $equal(not(xor(sum,and(t5,or(carry,sum)))),xor(sum,xor(t1,and(sum,t1)))) )],[refute_0_16538,refute_0_16541]) ).
cnf(refute_0_16543,plain,
( not(xor(carry,and(carry_def,cin))) != xor(sum,not(and(t5,or(carry,sum))))
| xor(sum,not(and(t5,or(carry,sum)))) != xor(sum,xor(t1,and(sum,t1)))
| not(xor(carry,and(carry_def,cin))) = xor(sum,xor(t1,and(sum,t1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(carry,and(carry_def,cin))),xor(sum,xor(t1,and(sum,t1)))) ),[0],$fot(xor(sum,not(and(t5,or(carry,sum)))))]]) ).
cnf(refute_0_16544,plain,
( not(xor(carry,and(carry_def,cin))) != xor(sum,not(and(t5,or(carry,sum))))
| not(xor(carry,and(carry_def,cin))) = xor(sum,xor(t1,and(sum,t1))) ),
inference(resolve,[$cnf( $equal(xor(sum,not(and(t5,or(carry,sum)))),xor(sum,xor(t1,and(sum,t1)))) )],[refute_0_16542,refute_0_16543]) ).
cnf(refute_0_16545,plain,
not(xor(carry,and(carry_def,cin))) = xor(sum,xor(t1,and(sum,t1))),
inference(resolve,[$cnf( $equal(not(xor(carry,and(carry_def,cin))),xor(sum,not(and(t5,or(carry,sum))))) )],[refute_0_16499,refute_0_16544]) ).
cnf(refute_0_16546,plain,
or(X_818,and(not(X_818),X_820)) = and(or(X_818,not(X_818)),or(X_818,X_820)),
inference(subst,[],[and_distributive:[bind(X,$fot(X_818)),bind(Y,$fot(not(X_818))),bind(Z,$fot(X_820))]]) ).
cnf(refute_0_16547,plain,
( or(X_818,and(not(X_818),X_820)) != and(or(X_818,not(X_818)),or(X_818,X_820))
| or(X_818,not(X_818)) != ll1
| or(X_818,and(not(X_818),X_820)) = and(ll1,or(X_818,X_820)) ),
introduced(tautology,[equality,[$cnf( $equal(or(X_818,and(not(X_818),X_820)),and(or(X_818,not(X_818)),or(X_818,X_820))) ),[1,0],$fot(ll1)]]) ).
cnf(refute_0_16548,plain,
( or(X_818,and(not(X_818),X_820)) != and(or(X_818,not(X_818)),or(X_818,X_820))
| or(X_818,and(not(X_818),X_820)) = and(ll1,or(X_818,X_820)) ),
inference(resolve,[$cnf( $equal(or(X_818,not(X_818)),ll1) )],[refute_0_8394,refute_0_16547]) ).
cnf(refute_0_16549,plain,
or(X_818,and(not(X_818),X_820)) = and(ll1,or(X_818,X_820)),
inference(resolve,[$cnf( $equal(or(X_818,and(not(X_818),X_820)),and(or(X_818,not(X_818)),or(X_818,X_820))) )],[refute_0_16546,refute_0_16548]) ).
cnf(refute_0_16550,plain,
and(ll1,or(X_818,X_820)) = or(X_818,X_820),
inference(subst,[],[refute_0_64:[bind(X,$fot(or(X_818,X_820)))]]) ).
cnf(refute_0_16551,plain,
( and(ll1,or(X_818,X_820)) != or(X_818,X_820)
| or(X_818,and(not(X_818),X_820)) != and(ll1,or(X_818,X_820))
| or(X_818,and(not(X_818),X_820)) = or(X_818,X_820) ),
introduced(tautology,[equality,[$cnf( $equal(or(X_818,and(not(X_818),X_820)),and(ll1,or(X_818,X_820))) ),[1],$fot(or(X_818,X_820))]]) ).
cnf(refute_0_16552,plain,
( or(X_818,and(not(X_818),X_820)) != and(ll1,or(X_818,X_820))
| or(X_818,and(not(X_818),X_820)) = or(X_818,X_820) ),
inference(resolve,[$cnf( $equal(and(ll1,or(X_818,X_820)),or(X_818,X_820)) )],[refute_0_16550,refute_0_16551]) ).
cnf(refute_0_16553,plain,
or(X_818,and(not(X_818),X_820)) = or(X_818,X_820),
inference(resolve,[$cnf( $equal(or(X_818,and(not(X_818),X_820)),and(ll1,or(X_818,X_820))) )],[refute_0_16549,refute_0_16552]) ).
cnf(refute_0_16554,plain,
or(X,and(not(X),X_669)) = or(X,X_669),
inference(subst,[],[refute_0_16553:[bind(X_818,$fot(X)),bind(X_820,$fot(X_669))]]) ).
cnf(refute_0_16555,plain,
( or(X,and(not(X),X_669)) != or(X,X_669)
| or(X,and(not(X),X_669)) != xor(X,and(X_669,not(X)))
| or(X,X_669) = xor(X,and(X_669,not(X))) ),
introduced(tautology,[equality,[$cnf( $equal(or(X,and(not(X),X_669)),xor(X,and(X_669,not(X)))) ),[0],$fot(or(X,X_669))]]) ).
cnf(refute_0_16556,plain,
( or(X,and(not(X),X_669)) != xor(X,and(X_669,not(X)))
| or(X,X_669) = xor(X,and(X_669,not(X))) ),
inference(resolve,[$cnf( $equal(or(X,and(not(X),X_669)),or(X,X_669)) )],[refute_0_16554,refute_0_16555]) ).
cnf(refute_0_16557,plain,
or(X,X_669) = xor(X,and(X_669,not(X))),
inference(resolve,[$cnf( $equal(or(X,and(not(X),X_669)),xor(X,and(X_669,not(X)))) )],[refute_0_8376,refute_0_16556]) ).
cnf(refute_0_16558,plain,
( or(X,X_669) != xor(X,and(X_669,not(X)))
| xor(X,and(X_669,not(X))) = or(X,X_669) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(X,X_669))),bind(Y0,$fot(xor(X,and(X_669,not(X)))))]]) ).
cnf(refute_0_16559,plain,
xor(X,and(X_669,not(X))) = or(X,X_669),
inference(resolve,[$cnf( $equal(or(X,X_669),xor(X,and(X_669,not(X)))) )],[refute_0_16557,refute_0_16558]) ).
cnf(refute_0_16560,plain,
xor(sum,and(t1,not(sum))) = or(sum,t1),
inference(subst,[],[refute_0_16559:[bind(X,$fot(sum)),bind(X_669,$fot(t1))]]) ).
cnf(refute_0_16561,plain,
and(not(sum),t1) = and(t1,not(sum)),
inference(subst,[],[refute_0_4252:[bind(X_14,$fot(t1)),bind(X_669,$fot(not(sum)))]]) ).
cnf(refute_0_16562,plain,
xor(X_333,and(not(sum),t1)) = xor(X_333,and(not(sum),t1)),
introduced(tautology,[refl,[$fot(xor(X_333,and(not(sum),t1)))]]) ).
cnf(refute_0_16563,plain,
( and(not(sum),t1) != and(t1,not(sum))
| xor(X_333,and(not(sum),t1)) != xor(X_333,and(not(sum),t1))
| xor(X_333,and(not(sum),t1)) = xor(X_333,and(t1,not(sum))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,and(not(sum),t1)),xor(X_333,and(not(sum),t1))) ),[1,1],$fot(and(t1,not(sum)))]]) ).
cnf(refute_0_16564,plain,
( and(not(sum),t1) != and(t1,not(sum))
| xor(X_333,and(not(sum),t1)) = xor(X_333,and(t1,not(sum))) ),
inference(resolve,[$cnf( $equal(xor(X_333,and(not(sum),t1)),xor(X_333,and(not(sum),t1))) )],[refute_0_16562,refute_0_16563]) ).
cnf(refute_0_16565,plain,
xor(X_333,and(not(sum),t1)) = xor(X_333,and(t1,not(sum))),
inference(resolve,[$cnf( $equal(and(not(sum),t1),and(t1,not(sum))) )],[refute_0_16561,refute_0_16564]) ).
cnf(refute_0_16566,plain,
not(xor(X_333,or(sum,not(t1)))) = xor(X_333,and(not(sum),t1)),
inference(subst,[],[refute_0_7796:[bind(X,$fot(t1)),bind(X_25,$fot(sum)),bind(X_377,$fot(X_333))]]) ).
cnf(refute_0_16567,plain,
( not(xor(X_333,or(sum,not(t1)))) != xor(X_333,and(not(sum),t1))
| xor(X_333,and(not(sum),t1)) != xor(X_333,and(t1,not(sum)))
| not(xor(X_333,or(sum,not(t1)))) = xor(X_333,and(t1,not(sum))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(X_333,or(sum,not(t1)))))),bind(Y0,$fot(xor(X_333,and(not(sum),t1)))),bind(Z0,$fot(xor(X_333,and(t1,not(sum)))))]]) ).
cnf(refute_0_16568,plain,
( xor(X_333,and(not(sum),t1)) != xor(X_333,and(t1,not(sum)))
| not(xor(X_333,or(sum,not(t1)))) = xor(X_333,and(t1,not(sum))) ),
inference(resolve,[$cnf( $equal(not(xor(X_333,or(sum,not(t1)))),xor(X_333,and(not(sum),t1))) )],[refute_0_16566,refute_0_16567]) ).
cnf(refute_0_16569,plain,
not(xor(X_333,or(sum,not(t1)))) = xor(X_333,and(t1,not(sum))),
inference(resolve,[$cnf( $equal(xor(X_333,and(not(sum),t1)),xor(X_333,and(t1,not(sum)))) )],[refute_0_16565,refute_0_16568]) ).
cnf(refute_0_16570,plain,
xor(X_333,and(t5,or(carry,sum))) = xor(X_333,and(t5,or(carry,sum))),
introduced(tautology,[refl,[$fot(xor(X_333,and(t5,or(carry,sum))))]]) ).
cnf(refute_0_16571,plain,
( and(t5,or(carry,sum)) != or(sum,not(t1))
| xor(X_333,and(t5,or(carry,sum))) != xor(X_333,and(t5,or(carry,sum)))
| xor(X_333,and(t5,or(carry,sum))) = xor(X_333,or(sum,not(t1))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,and(t5,or(carry,sum))),xor(X_333,and(t5,or(carry,sum)))) ),[1,1],$fot(or(sum,not(t1)))]]) ).
cnf(refute_0_16572,plain,
( and(t5,or(carry,sum)) != or(sum,not(t1))
| xor(X_333,and(t5,or(carry,sum))) = xor(X_333,or(sum,not(t1))) ),
inference(resolve,[$cnf( $equal(xor(X_333,and(t5,or(carry,sum))),xor(X_333,and(t5,or(carry,sum)))) )],[refute_0_16570,refute_0_16571]) ).
cnf(refute_0_16573,plain,
xor(X_333,and(t5,or(carry,sum))) = xor(X_333,or(sum,not(t1))),
inference(resolve,[$cnf( $equal(and(t5,or(carry,sum)),or(sum,not(t1))) )],[refute_0_16396,refute_0_16572]) ).
cnf(refute_0_16574,plain,
not(xor(X_333,and(t5,or(carry,sum)))) = not(xor(X_333,and(t5,or(carry,sum)))),
introduced(tautology,[refl,[$fot(not(xor(X_333,and(t5,or(carry,sum)))))]]) ).
cnf(refute_0_16575,plain,
( not(xor(X_333,and(t5,or(carry,sum)))) != not(xor(X_333,and(t5,or(carry,sum))))
| xor(X_333,and(t5,or(carry,sum))) != xor(X_333,or(sum,not(t1)))
| not(xor(X_333,and(t5,or(carry,sum)))) = not(xor(X_333,or(sum,not(t1)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(X_333,and(t5,or(carry,sum)))),not(xor(X_333,and(t5,or(carry,sum))))) ),[1,0],$fot(xor(X_333,or(sum,not(t1))))]]) ).
cnf(refute_0_16576,plain,
( xor(X_333,and(t5,or(carry,sum))) != xor(X_333,or(sum,not(t1)))
| not(xor(X_333,and(t5,or(carry,sum)))) = not(xor(X_333,or(sum,not(t1)))) ),
inference(resolve,[$cnf( $equal(not(xor(X_333,and(t5,or(carry,sum)))),not(xor(X_333,and(t5,or(carry,sum))))) )],[refute_0_16574,refute_0_16575]) ).
cnf(refute_0_16577,plain,
not(xor(X_333,and(t5,or(carry,sum)))) = not(xor(X_333,or(sum,not(t1)))),
inference(resolve,[$cnf( $equal(xor(X_333,and(t5,or(carry,sum))),xor(X_333,or(sum,not(t1)))) )],[refute_0_16573,refute_0_16576]) ).
cnf(refute_0_16578,plain,
( not(xor(X_333,and(t5,or(carry,sum)))) != not(xor(X_333,or(sum,not(t1))))
| not(xor(X_333,or(sum,not(t1)))) != xor(X_333,and(t1,not(sum)))
| not(xor(X_333,and(t5,or(carry,sum)))) = xor(X_333,and(t1,not(sum))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(X_333,and(t5,or(carry,sum)))))),bind(Y0,$fot(not(xor(X_333,or(sum,not(t1)))))),bind(Z0,$fot(xor(X_333,and(t1,not(sum)))))]]) ).
cnf(refute_0_16579,plain,
( not(xor(X_333,or(sum,not(t1)))) != xor(X_333,and(t1,not(sum)))
| not(xor(X_333,and(t5,or(carry,sum)))) = xor(X_333,and(t1,not(sum))) ),
inference(resolve,[$cnf( $equal(not(xor(X_333,and(t5,or(carry,sum)))),not(xor(X_333,or(sum,not(t1))))) )],[refute_0_16577,refute_0_16578]) ).
cnf(refute_0_16580,plain,
not(xor(X_333,and(t5,or(carry,sum)))) = xor(X_333,and(t1,not(sum))),
inference(resolve,[$cnf( $equal(not(xor(X_333,or(sum,not(t1)))),xor(X_333,and(t1,not(sum)))) )],[refute_0_16569,refute_0_16579]) ).
cnf(refute_0_16581,plain,
( not(xor(X_333,and(t5,or(carry,sum)))) != xor(X_333,and(t1,not(sum)))
| not(xor(X_333,and(t5,or(carry,sum)))) != xor(X_333,xor(t1,and(sum,t1)))
| xor(X_333,and(t1,not(sum))) = xor(X_333,xor(t1,and(sum,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(X_333,and(t5,or(carry,sum)))),xor(X_333,xor(t1,and(sum,t1)))) ),[0],$fot(xor(X_333,and(t1,not(sum))))]]) ).
cnf(refute_0_16582,plain,
( not(xor(X_333,and(t5,or(carry,sum)))) != xor(X_333,xor(t1,and(sum,t1)))
| xor(X_333,and(t1,not(sum))) = xor(X_333,xor(t1,and(sum,t1))) ),
inference(resolve,[$cnf( $equal(not(xor(X_333,and(t5,or(carry,sum)))),xor(X_333,and(t1,not(sum)))) )],[refute_0_16580,refute_0_16581]) ).
cnf(refute_0_16583,plain,
xor(X_333,and(t1,not(sum))) = xor(X_333,xor(t1,and(sum,t1))),
inference(resolve,[$cnf( $equal(not(xor(X_333,and(t5,or(carry,sum)))),xor(X_333,xor(t1,and(sum,t1)))) )],[refute_0_16537,refute_0_16582]) ).
cnf(refute_0_16584,plain,
( xor(X_333,and(t1,not(sum))) != xor(X_333,xor(t1,and(sum,t1)))
| xor(X_333,xor(t1,and(sum,t1))) = xor(X_333,and(t1,not(sum))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X_333,and(t1,not(sum))))),bind(Y0,$fot(xor(X_333,xor(t1,and(sum,t1)))))]]) ).
cnf(refute_0_16585,plain,
xor(X_333,xor(t1,and(sum,t1))) = xor(X_333,and(t1,not(sum))),
inference(resolve,[$cnf( $equal(xor(X_333,and(t1,not(sum))),xor(X_333,xor(t1,and(sum,t1)))) )],[refute_0_16583,refute_0_16584]) ).
cnf(refute_0_16586,plain,
xor(sum,xor(t1,and(sum,t1))) = xor(sum,and(t1,not(sum))),
inference(subst,[],[refute_0_16585:[bind(X_333,$fot(sum))]]) ).
cnf(refute_0_16587,plain,
( xor(sum,and(t1,not(sum))) != or(sum,t1)
| xor(sum,xor(t1,and(sum,t1))) != xor(sum,and(t1,not(sum)))
| xor(sum,xor(t1,and(sum,t1))) = or(sum,t1) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(sum,xor(t1,and(sum,t1))))),bind(Y0,$fot(xor(sum,and(t1,not(sum))))),bind(Z0,$fot(or(sum,t1)))]]) ).
cnf(refute_0_16588,plain,
( xor(sum,and(t1,not(sum))) != or(sum,t1)
| xor(sum,xor(t1,and(sum,t1))) = or(sum,t1) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(t1,and(sum,t1))),xor(sum,and(t1,not(sum)))) )],[refute_0_16586,refute_0_16587]) ).
cnf(refute_0_16589,plain,
xor(sum,xor(t1,and(sum,t1))) = or(sum,t1),
inference(resolve,[$cnf( $equal(xor(sum,and(t1,not(sum))),or(sum,t1)) )],[refute_0_16560,refute_0_16588]) ).
cnf(refute_0_16590,plain,
( not(xor(carry,and(carry_def,cin))) != xor(sum,xor(t1,and(sum,t1)))
| xor(sum,xor(t1,and(sum,t1))) != or(sum,t1)
| not(xor(carry,and(carry_def,cin))) = or(sum,t1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(carry,and(carry_def,cin))),or(sum,t1)) ),[0],$fot(xor(sum,xor(t1,and(sum,t1))))]]) ).
cnf(refute_0_16591,plain,
( not(xor(carry,and(carry_def,cin))) != xor(sum,xor(t1,and(sum,t1)))
| not(xor(carry,and(carry_def,cin))) = or(sum,t1) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(t1,and(sum,t1))),or(sum,t1)) )],[refute_0_16589,refute_0_16590]) ).
cnf(refute_0_16592,plain,
not(xor(carry,and(carry_def,cin))) = or(sum,t1),
inference(resolve,[$cnf( $equal(not(xor(carry,and(carry_def,cin))),xor(sum,xor(t1,and(sum,t1)))) )],[refute_0_16545,refute_0_16591]) ).
cnf(refute_0_16593,plain,
or(t1,not(and(carry,or(t1,not(and(carry_def,cin)))))) = or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin))))))),
inference(subst,[],[refute_0_9815:[bind(Y,$fot(and(carry,or(t1,not(and(carry_def,cin))))))]]) ).
cnf(refute_0_16594,plain,
or(and(t1,not(and(carry_def,cin))),and(not(t1),and(carry_def,cin))) = xor(t1,and(carry_def,cin)),
inference(subst,[],[refute_0_9:[bind(X,$fot(t1)),bind(Y,$fot(and(carry_def,cin)))]]) ).
cnf(refute_0_16595,plain,
and(not(carry),or(t1,t7)) = and(t1,and(t5,or(t1,t7))),
inference(subst,[],[refute_0_178:[bind(X_222,$fot(or(t1,t7)))]]) ).
cnf(refute_0_16596,plain,
( and(not(carry),or(t1,t7)) != and(t1,and(t5,or(t1,t7)))
| and(t5,or(t1,t7)) != not(and(carry_def,cin))
| and(not(carry),or(t1,t7)) = and(t1,not(and(carry_def,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),or(t1,t7)),and(t1,and(t5,or(t1,t7)))) ),[1,1],$fot(not(and(carry_def,cin)))]]) ).
cnf(refute_0_16597,plain,
( and(not(carry),or(t1,t7)) != and(t1,and(t5,or(t1,t7)))
| and(not(carry),or(t1,t7)) = and(t1,not(and(carry_def,cin))) ),
inference(resolve,[$cnf( $equal(and(t5,or(t1,t7)),not(and(carry_def,cin))) )],[refute_0_12313,refute_0_16596]) ).
cnf(refute_0_16598,plain,
and(not(carry),or(t1,t7)) = and(t1,not(and(carry_def,cin))),
inference(resolve,[$cnf( $equal(and(not(carry),or(t1,t7)),and(t1,and(t5,or(t1,t7)))) )],[refute_0_16595,refute_0_16597]) ).
cnf(refute_0_16599,plain,
and(not(carry),not(xor(t7,or(carry,t7)))) = and(t1,and(t5,not(xor(t7,or(carry,t7))))),
inference(subst,[],[refute_0_178:[bind(X_222,$fot(not(xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_16600,plain,
( and(not(carry),not(xor(t7,or(carry,t7)))) != and(t1,and(t5,not(xor(t7,or(carry,t7)))))
| and(t5,not(xor(t7,or(carry,t7)))) != xor(cin,or(carry,t7))
| and(not(carry),not(xor(t7,or(carry,t7)))) = and(t1,xor(cin,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),not(xor(t7,or(carry,t7)))),and(t1,and(t5,not(xor(t7,or(carry,t7)))))) ),[1,1],$fot(xor(cin,or(carry,t7)))]]) ).
cnf(refute_0_16601,plain,
( and(not(carry),not(xor(t7,or(carry,t7)))) != and(t1,and(t5,not(xor(t7,or(carry,t7)))))
| and(not(carry),not(xor(t7,or(carry,t7)))) = and(t1,xor(cin,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t7,or(carry,t7)))),xor(cin,or(carry,t7))) )],[refute_0_12040,refute_0_16600]) ).
cnf(refute_0_16602,plain,
and(not(carry),not(xor(t7,or(carry,t7)))) = and(t1,xor(cin,or(carry,t7))),
inference(resolve,[$cnf( $equal(and(not(carry),not(xor(t7,or(carry,t7)))),and(t1,and(t5,not(xor(t7,or(carry,t7)))))) )],[refute_0_16599,refute_0_16601]) ).
cnf(refute_0_16603,plain,
and(not(carry),not(xor(t7,or(carry,t7)))) = not(or(carry,xor(t7,or(carry,t7)))),
inference(subst,[],[refute_0_101:[bind(X,$fot(carry)),bind(Y,$fot(xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_16604,plain,
( and(not(carry),not(xor(t7,or(carry,t7)))) != and(t1,xor(cin,or(carry,t7)))
| and(not(carry),not(xor(t7,or(carry,t7)))) != not(or(carry,xor(t7,or(carry,t7))))
| not(or(carry,xor(t7,or(carry,t7)))) = and(t1,xor(cin,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),not(xor(t7,or(carry,t7)))),and(t1,xor(cin,or(carry,t7)))) ),[0],$fot(not(or(carry,xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_16605,plain,
( and(not(carry),not(xor(t7,or(carry,t7)))) != and(t1,xor(cin,or(carry,t7)))
| not(or(carry,xor(t7,or(carry,t7)))) = and(t1,xor(cin,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(not(carry),not(xor(t7,or(carry,t7)))),not(or(carry,xor(t7,or(carry,t7))))) )],[refute_0_16603,refute_0_16604]) ).
cnf(refute_0_16606,plain,
not(or(carry,xor(t7,or(carry,t7)))) = and(t1,xor(cin,or(carry,t7))),
inference(resolve,[$cnf( $equal(and(not(carry),not(xor(t7,or(carry,t7)))),and(t1,xor(cin,or(carry,t7)))) )],[refute_0_16602,refute_0_16605]) ).
cnf(refute_0_16607,plain,
or(carry,xor(t7,or(carry,t7))) = or(carry,xor(t7,or(carry,t7))),
introduced(tautology,[refl,[$fot(or(carry,xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_16608,plain,
( or(carry,xor(t7,or(carry,t7))) != or(carry,xor(t7,or(carry,t7)))
| xor(t7,or(carry,t7)) != xor(t7,or(a,t7))
| or(carry,xor(t7,or(carry,t7))) = or(carry,xor(t7,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,xor(t7,or(carry,t7))),or(carry,xor(t7,or(carry,t7)))) ),[1,1],$fot(xor(t7,or(a,t7)))]]) ).
cnf(refute_0_16609,plain,
( xor(t7,or(carry,t7)) != xor(t7,or(a,t7))
| or(carry,xor(t7,or(carry,t7))) = or(carry,xor(t7,or(a,t7))) ),
inference(resolve,[$cnf( $equal(or(carry,xor(t7,or(carry,t7))),or(carry,xor(t7,or(carry,t7)))) )],[refute_0_16607,refute_0_16608]) ).
cnf(refute_0_16610,plain,
or(carry,xor(t7,or(carry,t7))) = or(carry,xor(t7,or(a,t7))),
inference(resolve,[$cnf( $equal(xor(t7,or(carry,t7)),xor(t7,or(a,t7))) )],[refute_0_7858,refute_0_16609]) ).
cnf(refute_0_16611,plain,
not(or(carry,xor(t7,or(carry,t7)))) = not(or(carry,xor(t7,or(carry,t7)))),
introduced(tautology,[refl,[$fot(not(or(carry,xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_16612,plain,
( not(or(carry,xor(t7,or(carry,t7)))) != not(or(carry,xor(t7,or(carry,t7))))
| or(carry,xor(t7,or(carry,t7))) != or(carry,xor(t7,or(a,t7)))
| not(or(carry,xor(t7,or(carry,t7)))) = not(or(carry,xor(t7,or(a,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,xor(t7,or(carry,t7)))),not(or(carry,xor(t7,or(carry,t7))))) ),[1,0],$fot(or(carry,xor(t7,or(a,t7))))]]) ).
cnf(refute_0_16613,plain,
( or(carry,xor(t7,or(carry,t7))) != or(carry,xor(t7,or(a,t7)))
| not(or(carry,xor(t7,or(carry,t7)))) = not(or(carry,xor(t7,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(not(or(carry,xor(t7,or(carry,t7)))),not(or(carry,xor(t7,or(carry,t7))))) )],[refute_0_16611,refute_0_16612]) ).
cnf(refute_0_16614,plain,
not(or(carry,xor(t7,or(carry,t7)))) = not(or(carry,xor(t7,or(a,t7)))),
inference(resolve,[$cnf( $equal(or(carry,xor(t7,or(carry,t7))),or(carry,xor(t7,or(a,t7)))) )],[refute_0_16610,refute_0_16613]) ).
cnf(refute_0_16615,plain,
( not(or(carry,xor(t7,or(carry,t7)))) != and(t1,xor(cin,or(carry,t7)))
| not(or(carry,xor(t7,or(carry,t7)))) != not(or(carry,xor(t7,or(a,t7))))
| not(or(carry,xor(t7,or(a,t7)))) = and(t1,xor(cin,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,xor(t7,or(carry,t7)))),and(t1,xor(cin,or(carry,t7)))) ),[0],$fot(not(or(carry,xor(t7,or(a,t7)))))]]) ).
cnf(refute_0_16616,plain,
( not(or(carry,xor(t7,or(carry,t7)))) != and(t1,xor(cin,or(carry,t7)))
| not(or(carry,xor(t7,or(a,t7)))) = and(t1,xor(cin,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(not(or(carry,xor(t7,or(carry,t7)))),not(or(carry,xor(t7,or(a,t7))))) )],[refute_0_16614,refute_0_16615]) ).
cnf(refute_0_16617,plain,
and(t1,xor(cin,or(carry,t7))) = and(t1,xor(cin,or(carry,t7))),
introduced(tautology,[refl,[$fot(and(t1,xor(cin,or(carry,t7))))]]) ).
cnf(refute_0_16618,plain,
( and(t1,xor(cin,or(carry,t7))) != and(t1,xor(cin,or(carry,t7)))
| xor(cin,or(carry,t7)) != xor(cin,or(a,t7))
| and(t1,xor(cin,or(carry,t7))) = and(t1,xor(cin,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,xor(cin,or(carry,t7))),and(t1,xor(cin,or(carry,t7)))) ),[1,1],$fot(xor(cin,or(a,t7)))]]) ).
cnf(refute_0_16619,plain,
( xor(cin,or(carry,t7)) != xor(cin,or(a,t7))
| and(t1,xor(cin,or(carry,t7))) = and(t1,xor(cin,or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(t1,xor(cin,or(carry,t7))),and(t1,xor(cin,or(carry,t7)))) )],[refute_0_16617,refute_0_16618]) ).
cnf(refute_0_16620,plain,
and(t1,xor(cin,or(carry,t7))) = and(t1,xor(cin,or(a,t7))),
inference(resolve,[$cnf( $equal(xor(cin,or(carry,t7)),xor(cin,or(a,t7))) )],[refute_0_12061,refute_0_16619]) ).
cnf(refute_0_16621,plain,
( and(t1,xor(cin,or(carry,t7))) != and(t1,xor(cin,or(a,t7)))
| not(or(carry,xor(t7,or(a,t7)))) != and(t1,xor(cin,or(carry,t7)))
| not(or(carry,xor(t7,or(a,t7)))) = and(t1,xor(cin,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,xor(t7,or(a,t7)))),and(t1,xor(cin,or(carry,t7)))) ),[1],$fot(and(t1,xor(cin,or(a,t7))))]]) ).
cnf(refute_0_16622,plain,
( not(or(carry,xor(t7,or(a,t7)))) != and(t1,xor(cin,or(carry,t7)))
| not(or(carry,xor(t7,or(a,t7)))) = and(t1,xor(cin,or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(t1,xor(cin,or(carry,t7))),and(t1,xor(cin,or(a,t7)))) )],[refute_0_16620,refute_0_16621]) ).
cnf(refute_0_16623,plain,
( not(or(carry,xor(t7,or(carry,t7)))) != and(t1,xor(cin,or(carry,t7)))
| not(or(carry,xor(t7,or(a,t7)))) = and(t1,xor(cin,or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(or(carry,xor(t7,or(a,t7)))),and(t1,xor(cin,or(carry,t7)))) )],[refute_0_16616,refute_0_16622]) ).
cnf(refute_0_16624,plain,
not(or(carry,xor(t7,or(a,t7)))) = and(t1,xor(cin,or(a,t7))),
inference(resolve,[$cnf( $equal(not(or(carry,xor(t7,or(carry,t7)))),and(t1,xor(cin,or(carry,t7)))) )],[refute_0_16606,refute_0_16623]) ).
cnf(refute_0_16625,plain,
or(carry,and(carry,cin)) = carry,
inference(subst,[],[or_absorption:[bind(X,$fot(carry)),bind(Y,$fot(cin))]]) ).
cnf(refute_0_16626,plain,
or(carry,and(X_819,not(t7))) = and(or(carry,X_819),or(carry,not(t7))),
inference(subst,[],[and_distributive:[bind(X,$fot(carry)),bind(Y,$fot(X_819)),bind(Z,$fot(not(t7)))]]) ).
cnf(refute_0_16627,plain,
not(and(not(carry),t7)) = not(and(t7,not(carry))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(t7)),bind(X_32,$fot(not(carry)))]]) ).
cnf(refute_0_16628,plain,
( and(t7,not(carry)) != not(or(carry,cin))
| not(and(not(carry),t7)) != not(and(t7,not(carry)))
| not(and(not(carry),t7)) = not(not(or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(carry),t7)),not(and(t7,not(carry)))) ),[1,0],$fot(not(or(carry,cin)))]]) ).
cnf(refute_0_16629,plain,
( not(and(not(carry),t7)) != not(and(t7,not(carry)))
| not(and(not(carry),t7)) = not(not(or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(t7,not(carry)),not(or(carry,cin))) )],[refute_0_15833,refute_0_16628]) ).
cnf(refute_0_16630,plain,
not(and(not(carry),t7)) = not(not(or(carry,cin))),
inference(resolve,[$cnf( $equal(not(and(not(carry),t7)),not(and(t7,not(carry)))) )],[refute_0_16627,refute_0_16629]) ).
cnf(refute_0_16631,plain,
not(and(not(carry),t7)) = or(carry,not(t7)),
inference(subst,[],[refute_0_787:[bind(X,$fot(carry)),bind(X_32,$fot(t7))]]) ).
cnf(refute_0_16632,plain,
( not(and(not(carry),t7)) != not(not(or(carry,cin)))
| not(and(not(carry),t7)) != or(carry,not(t7))
| or(carry,not(t7)) = not(not(or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(carry),t7)),not(not(or(carry,cin)))) ),[0],$fot(or(carry,not(t7)))]]) ).
cnf(refute_0_16633,plain,
( not(and(not(carry),t7)) != not(not(or(carry,cin)))
| or(carry,not(t7)) = not(not(or(carry,cin))) ),
inference(resolve,[$cnf( $equal(not(and(not(carry),t7)),or(carry,not(t7))) )],[refute_0_16631,refute_0_16632]) ).
cnf(refute_0_16634,plain,
( not(not(or(carry,cin))) != or(carry,cin)
| or(carry,not(t7)) != not(not(or(carry,cin)))
| or(carry,not(t7)) = or(carry,cin) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(t7)),not(not(or(carry,cin)))) ),[1],$fot(or(carry,cin))]]) ).
cnf(refute_0_16635,plain,
( or(carry,not(t7)) != not(not(or(carry,cin)))
| or(carry,not(t7)) = or(carry,cin) ),
inference(resolve,[$cnf( $equal(not(not(or(carry,cin))),or(carry,cin)) )],[refute_0_11753,refute_0_16634]) ).
cnf(refute_0_16636,plain,
( not(and(not(carry),t7)) != not(not(or(carry,cin)))
| or(carry,not(t7)) = or(carry,cin) ),
inference(resolve,[$cnf( $equal(or(carry,not(t7)),not(not(or(carry,cin)))) )],[refute_0_16633,refute_0_16635]) ).
cnf(refute_0_16637,plain,
or(carry,not(t7)) = or(carry,cin),
inference(resolve,[$cnf( $equal(not(and(not(carry),t7)),not(not(or(carry,cin)))) )],[refute_0_16630,refute_0_16636]) ).
cnf(refute_0_16638,plain,
( or(carry,and(X_819,not(t7))) != and(or(carry,X_819),or(carry,not(t7)))
| or(carry,not(t7)) != or(carry,cin)
| or(carry,and(X_819,not(t7))) = and(or(carry,X_819),or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,and(X_819,not(t7))),and(or(carry,X_819),or(carry,not(t7)))) ),[1,1],$fot(or(carry,cin))]]) ).
cnf(refute_0_16639,plain,
( or(carry,and(X_819,not(t7))) != and(or(carry,X_819),or(carry,not(t7)))
| or(carry,and(X_819,not(t7))) = and(or(carry,X_819),or(carry,cin)) ),
inference(resolve,[$cnf( $equal(or(carry,not(t7)),or(carry,cin)) )],[refute_0_16637,refute_0_16638]) ).
cnf(refute_0_16640,plain,
or(carry,and(X_819,not(t7))) = and(or(carry,X_819),or(carry,cin)),
inference(resolve,[$cnf( $equal(or(carry,and(X_819,not(t7))),and(or(carry,X_819),or(carry,not(t7)))) )],[refute_0_16626,refute_0_16639]) ).
cnf(refute_0_16641,plain,
and(or(carry,X_819),or(carry,cin)) = or(carry,and(X_819,cin)),
inference(subst,[],[refute_0_4336:[bind(X,$fot(carry)),bind(Y,$fot(X_819)),bind(Z,$fot(cin))]]) ).
cnf(refute_0_16642,plain,
( and(or(carry,X_819),or(carry,cin)) != or(carry,and(X_819,cin))
| or(carry,and(X_819,not(t7))) != and(or(carry,X_819),or(carry,cin))
| or(carry,and(X_819,not(t7))) = or(carry,and(X_819,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,and(X_819,not(t7))),and(or(carry,X_819),or(carry,cin))) ),[1],$fot(or(carry,and(X_819,cin)))]]) ).
cnf(refute_0_16643,plain,
( or(carry,and(X_819,not(t7))) != and(or(carry,X_819),or(carry,cin))
| or(carry,and(X_819,not(t7))) = or(carry,and(X_819,cin)) ),
inference(resolve,[$cnf( $equal(and(or(carry,X_819),or(carry,cin)),or(carry,and(X_819,cin))) )],[refute_0_16641,refute_0_16642]) ).
cnf(refute_0_16644,plain,
or(carry,and(X_819,not(t7))) = or(carry,and(X_819,cin)),
inference(resolve,[$cnf( $equal(or(carry,and(X_819,not(t7))),and(or(carry,X_819),or(carry,cin))) )],[refute_0_16640,refute_0_16643]) ).
cnf(refute_0_16645,plain,
or(carry,and(carry,not(t7))) = or(carry,and(carry,cin)),
inference(subst,[],[refute_0_16644:[bind(X_819,$fot(carry))]]) ).
cnf(refute_0_16646,plain,
( or(carry,and(carry,cin)) != carry
| or(carry,and(carry,not(t7))) != or(carry,and(carry,cin))
| or(carry,and(carry,not(t7))) = carry ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(carry,and(carry,not(t7))))),bind(Y0,$fot(or(carry,and(carry,cin)))),bind(Z0,$fot(carry))]]) ).
cnf(refute_0_16647,plain,
( or(carry,and(carry,cin)) != carry
| or(carry,and(carry,not(t7))) = carry ),
inference(resolve,[$cnf( $equal(or(carry,and(carry,not(t7))),or(carry,and(carry,cin))) )],[refute_0_16645,refute_0_16646]) ).
cnf(refute_0_16648,plain,
or(carry,and(carry,not(t7))) = carry,
inference(resolve,[$cnf( $equal(or(carry,and(carry,cin)),carry) )],[refute_0_16625,refute_0_16647]) ).
cnf(refute_0_16649,plain,
or(carry,xor(t7,or(a,t7))) = or(carry,xor(t7,or(a,t7))),
introduced(tautology,[refl,[$fot(or(carry,xor(t7,or(a,t7))))]]) ).
cnf(refute_0_16650,plain,
( or(carry,xor(t7,or(a,t7))) != or(carry,xor(t7,or(a,t7)))
| xor(t7,or(a,t7)) != and(carry,not(t7))
| or(carry,xor(t7,or(a,t7))) = or(carry,and(carry,not(t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,xor(t7,or(a,t7))),or(carry,xor(t7,or(a,t7)))) ),[1,1],$fot(and(carry,not(t7)))]]) ).
cnf(refute_0_16651,plain,
( xor(t7,or(a,t7)) != and(carry,not(t7))
| or(carry,xor(t7,or(a,t7))) = or(carry,and(carry,not(t7))) ),
inference(resolve,[$cnf( $equal(or(carry,xor(t7,or(a,t7))),or(carry,xor(t7,or(a,t7)))) )],[refute_0_16649,refute_0_16650]) ).
cnf(refute_0_16652,plain,
or(carry,xor(t7,or(a,t7))) = or(carry,and(carry,not(t7))),
inference(resolve,[$cnf( $equal(xor(t7,or(a,t7)),and(carry,not(t7))) )],[refute_0_8428,refute_0_16651]) ).
cnf(refute_0_16653,plain,
( or(carry,and(carry,not(t7))) != carry
| or(carry,xor(t7,or(a,t7))) != or(carry,and(carry,not(t7)))
| or(carry,xor(t7,or(a,t7))) = carry ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(carry,xor(t7,or(a,t7))))),bind(Y0,$fot(or(carry,and(carry,not(t7))))),bind(Z0,$fot(carry))]]) ).
cnf(refute_0_16654,plain,
( or(carry,and(carry,not(t7))) != carry
| or(carry,xor(t7,or(a,t7))) = carry ),
inference(resolve,[$cnf( $equal(or(carry,xor(t7,or(a,t7))),or(carry,and(carry,not(t7)))) )],[refute_0_16652,refute_0_16653]) ).
cnf(refute_0_16655,plain,
or(carry,xor(t7,or(a,t7))) = carry,
inference(resolve,[$cnf( $equal(or(carry,and(carry,not(t7))),carry) )],[refute_0_16648,refute_0_16654]) ).
cnf(refute_0_16656,plain,
not(or(carry,xor(t7,or(a,t7)))) = not(or(carry,xor(t7,or(a,t7)))),
introduced(tautology,[refl,[$fot(not(or(carry,xor(t7,or(a,t7)))))]]) ).
cnf(refute_0_16657,plain,
( not(or(carry,xor(t7,or(a,t7)))) != not(or(carry,xor(t7,or(a,t7))))
| or(carry,xor(t7,or(a,t7))) != carry
| not(or(carry,xor(t7,or(a,t7)))) = not(carry) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,xor(t7,or(a,t7)))),not(or(carry,xor(t7,or(a,t7))))) ),[1,0],$fot(carry)]]) ).
cnf(refute_0_16658,plain,
( or(carry,xor(t7,or(a,t7))) != carry
| not(or(carry,xor(t7,or(a,t7)))) = not(carry) ),
inference(resolve,[$cnf( $equal(not(or(carry,xor(t7,or(a,t7)))),not(or(carry,xor(t7,or(a,t7))))) )],[refute_0_16656,refute_0_16657]) ).
cnf(refute_0_16659,plain,
not(or(carry,xor(t7,or(a,t7)))) = not(carry),
inference(resolve,[$cnf( $equal(or(carry,xor(t7,or(a,t7))),carry) )],[refute_0_16655,refute_0_16658]) ).
cnf(refute_0_16660,plain,
( not(or(carry,xor(t7,or(a,t7)))) != and(t1,xor(cin,or(a,t7)))
| not(or(carry,xor(t7,or(a,t7)))) != not(carry)
| not(carry) = and(t1,xor(cin,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,xor(t7,or(a,t7)))),and(t1,xor(cin,or(a,t7)))) ),[0],$fot(not(carry))]]) ).
cnf(refute_0_16661,plain,
( not(or(carry,xor(t7,or(a,t7)))) != and(t1,xor(cin,or(a,t7)))
| not(carry) = and(t1,xor(cin,or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(or(carry,xor(t7,or(a,t7)))),not(carry)) )],[refute_0_16659,refute_0_16660]) ).
cnf(refute_0_16662,plain,
not(carry) = and(t1,xor(cin,or(a,t7))),
inference(resolve,[$cnf( $equal(not(or(carry,xor(t7,or(a,t7)))),and(t1,xor(cin,or(a,t7)))) )],[refute_0_16624,refute_0_16661]) ).
cnf(refute_0_16663,plain,
( and(not(carry),X_222) != and(t1,and(t5,X_222))
| and(t1,and(t5,X_222)) = and(not(carry),X_222) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(carry),X_222))),bind(Y0,$fot(and(t1,and(t5,X_222))))]]) ).
cnf(refute_0_16664,plain,
and(t1,and(t5,X_222)) = and(not(carry),X_222),
inference(resolve,[$cnf( $equal(and(not(carry),X_222),and(t1,and(t5,X_222))) )],[refute_0_178,refute_0_16663]) ).
cnf(refute_0_16665,plain,
and(t1,and(t5,or(t1,t7))) = and(not(carry),or(t1,t7)),
inference(subst,[],[refute_0_16664:[bind(X_222,$fot(or(t1,t7)))]]) ).
cnf(refute_0_16666,plain,
and(t1,xor(cin,or(a,t7))) = and(t1,xor(cin,or(a,t7))),
introduced(tautology,[refl,[$fot(and(t1,xor(cin,or(a,t7))))]]) ).
cnf(refute_0_16667,plain,
( and(t1,xor(cin,or(a,t7))) != and(t1,xor(cin,or(a,t7)))
| xor(cin,or(a,t7)) != and(t5,or(t1,t7))
| and(t1,xor(cin,or(a,t7))) = and(t1,and(t5,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,xor(cin,or(a,t7))),and(t1,xor(cin,or(a,t7)))) ),[1,1],$fot(and(t5,or(t1,t7)))]]) ).
cnf(refute_0_16668,plain,
( xor(cin,or(a,t7)) != and(t5,or(t1,t7))
| and(t1,xor(cin,or(a,t7))) = and(t1,and(t5,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(and(t1,xor(cin,or(a,t7))),and(t1,xor(cin,or(a,t7)))) )],[refute_0_16666,refute_0_16667]) ).
cnf(refute_0_16669,plain,
and(t1,xor(cin,or(a,t7))) = and(t1,and(t5,or(t1,t7))),
inference(resolve,[$cnf( $equal(xor(cin,or(a,t7)),and(t5,or(t1,t7))) )],[refute_0_12236,refute_0_16668]) ).
cnf(refute_0_16670,plain,
( and(t1,and(t5,or(t1,t7))) != and(not(carry),or(t1,t7))
| and(t1,xor(cin,or(a,t7))) != and(t1,and(t5,or(t1,t7)))
| and(t1,xor(cin,or(a,t7))) = and(not(carry),or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t1,xor(cin,or(a,t7))))),bind(Y0,$fot(and(t1,and(t5,or(t1,t7))))),bind(Z0,$fot(and(not(carry),or(t1,t7))))]]) ).
cnf(refute_0_16671,plain,
( and(t1,and(t5,or(t1,t7))) != and(not(carry),or(t1,t7))
| and(t1,xor(cin,or(a,t7))) = and(not(carry),or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(t1,xor(cin,or(a,t7))),and(t1,and(t5,or(t1,t7)))) )],[refute_0_16669,refute_0_16670]) ).
cnf(refute_0_16672,plain,
and(t1,xor(cin,or(a,t7))) = and(not(carry),or(t1,t7)),
inference(resolve,[$cnf( $equal(and(t1,and(t5,or(t1,t7))),and(not(carry),or(t1,t7))) )],[refute_0_16665,refute_0_16671]) ).
cnf(refute_0_16673,plain,
( and(t1,xor(cin,or(a,t7))) != and(not(carry),or(t1,t7))
| not(carry) != and(t1,xor(cin,or(a,t7)))
| not(carry) = and(not(carry),or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(carry),and(t1,xor(cin,or(a,t7)))) ),[1],$fot(and(not(carry),or(t1,t7)))]]) ).
cnf(refute_0_16674,plain,
( not(carry) != and(t1,xor(cin,or(a,t7)))
| not(carry) = and(not(carry),or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(t1,xor(cin,or(a,t7))),and(not(carry),or(t1,t7))) )],[refute_0_16672,refute_0_16673]) ).
cnf(refute_0_16675,plain,
not(carry) = and(not(carry),or(t1,t7)),
inference(resolve,[$cnf( $equal(not(carry),and(t1,xor(cin,or(a,t7)))) )],[refute_0_16662,refute_0_16674]) ).
cnf(refute_0_16676,plain,
( not(carry) != and(not(carry),or(t1,t7))
| and(not(carry),or(t1,t7)) = not(carry) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(carry))),bind(Y0,$fot(and(not(carry),or(t1,t7))))]]) ).
cnf(refute_0_16677,plain,
and(not(carry),or(t1,t7)) = not(carry),
inference(resolve,[$cnf( $equal(not(carry),and(not(carry),or(t1,t7))) )],[refute_0_16675,refute_0_16676]) ).
cnf(refute_0_16678,plain,
( and(not(carry),or(t1,t7)) != and(t1,not(and(carry_def,cin)))
| and(not(carry),or(t1,t7)) != not(carry)
| not(carry) = and(t1,not(and(carry_def,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),or(t1,t7)),and(t1,not(and(carry_def,cin)))) ),[0],$fot(not(carry))]]) ).
cnf(refute_0_16679,plain,
( and(not(carry),or(t1,t7)) != and(t1,not(and(carry_def,cin)))
| not(carry) = and(t1,not(and(carry_def,cin))) ),
inference(resolve,[$cnf( $equal(and(not(carry),or(t1,t7)),not(carry)) )],[refute_0_16677,refute_0_16678]) ).
cnf(refute_0_16680,plain,
not(carry) = and(t1,not(and(carry_def,cin))),
inference(resolve,[$cnf( $equal(and(not(carry),or(t1,t7)),and(t1,not(and(carry_def,cin)))) )],[refute_0_16598,refute_0_16679]) ).
cnf(refute_0_16681,plain,
( not(carry) != and(t1,not(and(carry_def,cin)))
| and(t1,not(and(carry_def,cin))) = not(carry) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(carry))),bind(Y0,$fot(and(t1,not(and(carry_def,cin)))))]]) ).
cnf(refute_0_16682,plain,
and(t1,not(and(carry_def,cin))) = not(carry),
inference(resolve,[$cnf( $equal(not(carry),and(t1,not(and(carry_def,cin)))) )],[refute_0_16680,refute_0_16681]) ).
cnf(refute_0_16683,plain,
( and(t1,not(and(carry_def,cin))) != not(carry)
| or(and(t1,not(and(carry_def,cin))),and(not(t1),and(carry_def,cin))) != xor(t1,and(carry_def,cin))
| or(not(carry),and(not(t1),and(carry_def,cin))) = xor(t1,and(carry_def,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t1,not(and(carry_def,cin))),and(not(t1),and(carry_def,cin))),xor(t1,and(carry_def,cin))) ),[0,0],$fot(not(carry))]]) ).
cnf(refute_0_16684,plain,
( or(and(t1,not(and(carry_def,cin))),and(not(t1),and(carry_def,cin))) != xor(t1,and(carry_def,cin))
| or(not(carry),and(not(t1),and(carry_def,cin))) = xor(t1,and(carry_def,cin)) ),
inference(resolve,[$cnf( $equal(and(t1,not(and(carry_def,cin))),not(carry)) )],[refute_0_16682,refute_0_16683]) ).
cnf(refute_0_16685,plain,
or(not(carry),and(not(t1),and(carry_def,cin))) = xor(t1,and(carry_def,cin)),
inference(resolve,[$cnf( $equal(or(and(t1,not(and(carry_def,cin))),and(not(t1),and(carry_def,cin))),xor(t1,and(carry_def,cin))) )],[refute_0_16594,refute_0_16684]) ).
cnf(refute_0_16686,plain,
or(not(carry),and(not(t1),and(carry_def,cin))) = not(and(carry,or(t1,not(and(carry_def,cin))))),
inference(subst,[],[refute_0_1337:[bind(X,$fot(carry)),bind(X_78,$fot(and(carry_def,cin))),bind(X_79,$fot(t1))]]) ).
cnf(refute_0_16687,plain,
( or(not(carry),and(not(t1),and(carry_def,cin))) != not(and(carry,or(t1,not(and(carry_def,cin)))))
| or(not(carry),and(not(t1),and(carry_def,cin))) != xor(t1,and(carry_def,cin))
| not(and(carry,or(t1,not(and(carry_def,cin))))) = xor(t1,and(carry_def,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(carry),and(not(t1),and(carry_def,cin))),xor(t1,and(carry_def,cin))) ),[0],$fot(not(and(carry,or(t1,not(and(carry_def,cin))))))]]) ).
cnf(refute_0_16688,plain,
( or(not(carry),and(not(t1),and(carry_def,cin))) != xor(t1,and(carry_def,cin))
| not(and(carry,or(t1,not(and(carry_def,cin))))) = xor(t1,and(carry_def,cin)) ),
inference(resolve,[$cnf( $equal(or(not(carry),and(not(t1),and(carry_def,cin))),not(and(carry,or(t1,not(and(carry_def,cin)))))) )],[refute_0_16686,refute_0_16687]) ).
cnf(refute_0_16689,plain,
not(and(carry,or(t1,not(and(carry_def,cin))))) = xor(t1,and(carry_def,cin)),
inference(resolve,[$cnf( $equal(or(not(carry),and(not(t1),and(carry_def,cin))),xor(t1,and(carry_def,cin))) )],[refute_0_16685,refute_0_16688]) ).
cnf(refute_0_16690,plain,
xor(b,xor(b,xor(carry,or(t1,t7)))) = xor(carry,or(t1,t7)),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(b)),bind(X_335,$fot(xor(carry,or(t1,t7))))]]) ).
cnf(refute_0_16691,plain,
xor(a,xor(t1,and(sum,or(a,b)))) = xor(t2,and(sum,or(a,b))),
inference(subst,[],[refute_0_370:[bind(X_335,$fot(and(sum,or(a,b))))]]) ).
cnf(refute_0_16692,plain,
xor(carry,xor(t5,and(sum,or(a,b)))) = xor(t1,and(sum,or(a,b))),
inference(subst,[],[refute_0_8984:[bind(Z,$fot(and(sum,or(a,b))))]]) ).
cnf(refute_0_16693,plain,
xor(cin,xor(t7,and(sum,or(a,b)))) = xor(t5,and(sum,or(a,b))),
inference(subst,[],[refute_0_11873:[bind(Z,$fot(and(sum,or(a,b))))]]) ).
cnf(refute_0_16694,plain,
( xor(cin,xor(t7,and(sum,or(a,b)))) != xor(t5,and(sum,or(a,b)))
| xor(t7,and(sum,or(a,b))) != not(and(sum,t1))
| xor(cin,not(and(sum,t1))) = xor(t5,and(sum,or(a,b))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t7,and(sum,or(a,b)))),xor(t5,and(sum,or(a,b)))) ),[0,1],$fot(not(and(sum,t1)))]]) ).
cnf(refute_0_16695,plain,
( xor(cin,xor(t7,and(sum,or(a,b)))) != xor(t5,and(sum,or(a,b)))
| xor(cin,not(and(sum,t1))) = xor(t5,and(sum,or(a,b))) ),
inference(resolve,[$cnf( $equal(xor(t7,and(sum,or(a,b))),not(and(sum,t1))) )],[refute_0_11196,refute_0_16694]) ).
cnf(refute_0_16696,plain,
xor(cin,not(and(sum,t1))) = xor(t5,and(sum,or(a,b))),
inference(resolve,[$cnf( $equal(xor(cin,xor(t7,and(sum,or(a,b)))),xor(t5,and(sum,or(a,b)))) )],[refute_0_16693,refute_0_16695]) ).
cnf(refute_0_16697,plain,
not(or(t4,xor(t7,or(carry,t7)))) = not(or(t4,xor(t7,or(carry,t7)))),
introduced(tautology,[refl,[$fot(not(or(t4,xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_16698,plain,
( not(or(t4,xor(t7,or(carry,t7)))) != not(or(t4,xor(t7,or(carry,t7))))
| or(t4,xor(t7,or(carry,t7))) != or(t4,xor(t7,or(a,t7)))
| not(or(t4,xor(t7,or(carry,t7)))) = not(or(t4,xor(t7,or(a,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t4,xor(t7,or(carry,t7)))),not(or(t4,xor(t7,or(carry,t7))))) ),[1,0],$fot(or(t4,xor(t7,or(a,t7))))]]) ).
cnf(refute_0_16699,plain,
( or(t4,xor(t7,or(carry,t7))) != or(t4,xor(t7,or(a,t7)))
| not(or(t4,xor(t7,or(carry,t7)))) = not(or(t4,xor(t7,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(not(or(t4,xor(t7,or(carry,t7)))),not(or(t4,xor(t7,or(carry,t7))))) )],[refute_0_16697,refute_0_16698]) ).
cnf(refute_0_16700,plain,
not(or(t4,xor(t7,or(carry,t7)))) = not(or(t4,xor(t7,or(a,t7)))),
inference(resolve,[$cnf( $equal(or(t4,xor(t7,or(carry,t7))),or(t4,xor(t7,or(a,t7)))) )],[refute_0_12055,refute_0_16699]) ).
cnf(refute_0_16701,plain,
( not(or(t4,xor(t7,or(carry,t7)))) != and(t5,xor(sum,or(carry,t7)))
| not(or(t4,xor(t7,or(carry,t7)))) != not(or(t4,xor(t7,or(a,t7))))
| not(or(t4,xor(t7,or(a,t7)))) = and(t5,xor(sum,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t4,xor(t7,or(carry,t7)))),and(t5,xor(sum,or(carry,t7)))) ),[0],$fot(not(or(t4,xor(t7,or(a,t7)))))]]) ).
cnf(refute_0_16702,plain,
( not(or(t4,xor(t7,or(carry,t7)))) != and(t5,xor(sum,or(carry,t7)))
| not(or(t4,xor(t7,or(a,t7)))) = and(t5,xor(sum,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(not(or(t4,xor(t7,or(carry,t7)))),not(or(t4,xor(t7,or(a,t7))))) )],[refute_0_16700,refute_0_16701]) ).
cnf(refute_0_16703,plain,
and(t5,xor(sum,or(carry,t7))) = and(t5,xor(sum,or(carry,t7))),
introduced(tautology,[refl,[$fot(and(t5,xor(sum,or(carry,t7))))]]) ).
cnf(refute_0_16704,plain,
( and(t5,xor(sum,or(carry,t7))) != and(t5,xor(sum,or(carry,t7)))
| xor(sum,or(carry,t7)) != xor(sum,or(a,t7))
| and(t5,xor(sum,or(carry,t7))) = and(t5,xor(sum,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,xor(sum,or(carry,t7))),and(t5,xor(sum,or(carry,t7)))) ),[1,1],$fot(xor(sum,or(a,t7)))]]) ).
cnf(refute_0_16705,plain,
( xor(sum,or(carry,t7)) != xor(sum,or(a,t7))
| and(t5,xor(sum,or(carry,t7))) = and(t5,xor(sum,or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(t5,xor(sum,or(carry,t7))),and(t5,xor(sum,or(carry,t7)))) )],[refute_0_16703,refute_0_16704]) ).
cnf(refute_0_16706,plain,
and(t5,xor(sum,or(carry,t7))) = and(t5,xor(sum,or(a,t7))),
inference(resolve,[$cnf( $equal(xor(sum,or(carry,t7)),xor(sum,or(a,t7))) )],[refute_0_9458,refute_0_16705]) ).
cnf(refute_0_16707,plain,
( and(t5,xor(sum,or(carry,t7))) != and(t5,xor(sum,or(a,t7)))
| not(or(t4,xor(t7,or(a,t7)))) != and(t5,xor(sum,or(carry,t7)))
| not(or(t4,xor(t7,or(a,t7)))) = and(t5,xor(sum,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t4,xor(t7,or(a,t7)))),and(t5,xor(sum,or(carry,t7)))) ),[1],$fot(and(t5,xor(sum,or(a,t7))))]]) ).
cnf(refute_0_16708,plain,
( not(or(t4,xor(t7,or(a,t7)))) != and(t5,xor(sum,or(carry,t7)))
| not(or(t4,xor(t7,or(a,t7)))) = and(t5,xor(sum,or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(t5,xor(sum,or(carry,t7))),and(t5,xor(sum,or(a,t7)))) )],[refute_0_16706,refute_0_16707]) ).
cnf(refute_0_16709,plain,
( not(or(t4,xor(t7,or(carry,t7)))) != and(t5,xor(sum,or(carry,t7)))
| not(or(t4,xor(t7,or(a,t7)))) = and(t5,xor(sum,or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(or(t4,xor(t7,or(a,t7)))),and(t5,xor(sum,or(carry,t7)))) )],[refute_0_16702,refute_0_16708]) ).
cnf(refute_0_16710,plain,
not(or(t4,xor(t7,or(a,t7)))) = and(t5,xor(sum,or(a,t7))),
inference(resolve,[$cnf( $equal(not(or(t4,xor(t7,or(carry,t7)))),and(t5,xor(sum,or(carry,t7)))) )],[refute_0_8541,refute_0_16709]) ).
cnf(refute_0_16711,plain,
not(or(t4,xor(t7,or(a,t7)))) = not(or(t4,xor(t7,or(a,t7)))),
introduced(tautology,[refl,[$fot(not(or(t4,xor(t7,or(a,t7)))))]]) ).
cnf(refute_0_16712,plain,
( not(or(t4,xor(t7,or(a,t7)))) != not(or(t4,xor(t7,or(a,t7))))
| or(t4,xor(t7,or(a,t7))) != or(t4,and(carry,not(t7)))
| not(or(t4,xor(t7,or(a,t7)))) = not(or(t4,and(carry,not(t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t4,xor(t7,or(a,t7)))),not(or(t4,xor(t7,or(a,t7))))) ),[1,0],$fot(or(t4,and(carry,not(t7))))]]) ).
cnf(refute_0_16713,plain,
( or(t4,xor(t7,or(a,t7))) != or(t4,and(carry,not(t7)))
| not(or(t4,xor(t7,or(a,t7)))) = not(or(t4,and(carry,not(t7)))) ),
inference(resolve,[$cnf( $equal(not(or(t4,xor(t7,or(a,t7)))),not(or(t4,xor(t7,or(a,t7))))) )],[refute_0_16711,refute_0_16712]) ).
cnf(refute_0_16714,plain,
not(or(t4,xor(t7,or(a,t7)))) = not(or(t4,and(carry,not(t7)))),
inference(resolve,[$cnf( $equal(or(t4,xor(t7,or(a,t7))),or(t4,and(carry,not(t7)))) )],[refute_0_12077,refute_0_16713]) ).
cnf(refute_0_16715,plain,
( not(or(t4,xor(t7,or(a,t7)))) != and(t5,xor(sum,or(a,t7)))
| not(or(t4,xor(t7,or(a,t7)))) != not(or(t4,and(carry,not(t7))))
| not(or(t4,and(carry,not(t7)))) = and(t5,xor(sum,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t4,xor(t7,or(a,t7)))),and(t5,xor(sum,or(a,t7)))) ),[0],$fot(not(or(t4,and(carry,not(t7)))))]]) ).
cnf(refute_0_16716,plain,
( not(or(t4,xor(t7,or(a,t7)))) != and(t5,xor(sum,or(a,t7)))
| not(or(t4,and(carry,not(t7)))) = and(t5,xor(sum,or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(or(t4,xor(t7,or(a,t7)))),not(or(t4,and(carry,not(t7))))) )],[refute_0_16714,refute_0_16715]) ).
cnf(refute_0_16717,plain,
not(or(t4,and(carry,not(t7)))) = and(t5,xor(sum,or(a,t7))),
inference(resolve,[$cnf( $equal(not(or(t4,xor(t7,or(a,t7)))),and(t5,xor(sum,or(a,t7)))) )],[refute_0_16710,refute_0_16716]) ).
cnf(refute_0_16718,plain,
not(or(t4,and(carry,not(t7)))) = not(or(t4,and(carry,not(t7)))),
introduced(tautology,[refl,[$fot(not(or(t4,and(carry,not(t7)))))]]) ).
cnf(refute_0_16719,plain,
( not(or(t4,and(carry,not(t7)))) != not(or(t4,and(carry,not(t7))))
| or(t4,and(carry,not(t7))) != xor(cin,and(sum,t1))
| not(or(t4,and(carry,not(t7)))) = not(xor(cin,and(sum,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t4,and(carry,not(t7)))),not(or(t4,and(carry,not(t7))))) ),[1,0],$fot(xor(cin,and(sum,t1)))]]) ).
cnf(refute_0_16720,plain,
( or(t4,and(carry,not(t7))) != xor(cin,and(sum,t1))
| not(or(t4,and(carry,not(t7)))) = not(xor(cin,and(sum,t1))) ),
inference(resolve,[$cnf( $equal(not(or(t4,and(carry,not(t7)))),not(or(t4,and(carry,not(t7))))) )],[refute_0_16718,refute_0_16719]) ).
cnf(refute_0_16721,plain,
not(or(t4,and(carry,not(t7)))) = not(xor(cin,and(sum,t1))),
inference(resolve,[$cnf( $equal(or(t4,and(carry,not(t7))),xor(cin,and(sum,t1))) )],[refute_0_12207,refute_0_16720]) ).
cnf(refute_0_16722,plain,
( not(or(t4,and(carry,not(t7)))) != and(t5,xor(sum,or(a,t7)))
| not(or(t4,and(carry,not(t7)))) != not(xor(cin,and(sum,t1)))
| not(xor(cin,and(sum,t1))) = and(t5,xor(sum,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t4,and(carry,not(t7)))),and(t5,xor(sum,or(a,t7)))) ),[0],$fot(not(xor(cin,and(sum,t1))))]]) ).
cnf(refute_0_16723,plain,
( not(or(t4,and(carry,not(t7)))) != and(t5,xor(sum,or(a,t7)))
| not(xor(cin,and(sum,t1))) = and(t5,xor(sum,or(a,t7))) ),
inference(resolve,[$cnf( $equal(not(or(t4,and(carry,not(t7)))),not(xor(cin,and(sum,t1)))) )],[refute_0_16721,refute_0_16722]) ).
cnf(refute_0_16724,plain,
not(xor(cin,and(sum,t1))) = and(t5,xor(sum,or(a,t7))),
inference(resolve,[$cnf( $equal(not(or(t4,and(carry,not(t7)))),and(t5,xor(sum,or(a,t7)))) )],[refute_0_16717,refute_0_16723]) ).
cnf(refute_0_16725,plain,
or(and(t4,not(or(X_593,t7))),and(not(t4),or(X_593,t7))) = xor(t4,or(X_593,t7)),
inference(subst,[],[refute_0_9:[bind(X,$fot(t4)),bind(Y,$fot(or(X_593,t7)))]]) ).
cnf(refute_0_16726,plain,
ll0 = and(t4,and(not(t7),X_512)),
inference(subst,[],[refute_0_7342:[bind(Z,$fot(X_512))]]) ).
cnf(refute_0_16727,plain,
and(X_512,not(t7)) = and(not(t7),X_512),
inference(subst,[],[and_commutative:[bind(X,$fot(X_512)),bind(Y,$fot(not(t7)))]]) ).
cnf(refute_0_16728,plain,
( and(X_512,not(t7)) != and(not(t7),X_512)
| and(not(t7),X_512) = and(X_512,not(t7)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X_512,not(t7)))),bind(Y0,$fot(and(not(t7),X_512)))]]) ).
cnf(refute_0_16729,plain,
and(not(t7),X_512) = and(X_512,not(t7)),
inference(resolve,[$cnf( $equal(and(X_512,not(t7)),and(not(t7),X_512)) )],[refute_0_16727,refute_0_16728]) ).
cnf(refute_0_16730,plain,
( and(not(t7),X_512) != and(X_512,not(t7))
| ll0 != and(t4,and(not(t7),X_512))
| ll0 = and(t4,and(X_512,not(t7))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(t4,and(not(t7),X_512))) ),[1,1],$fot(and(X_512,not(t7)))]]) ).
cnf(refute_0_16731,plain,
( ll0 != and(t4,and(not(t7),X_512))
| ll0 = and(t4,and(X_512,not(t7))) ),
inference(resolve,[$cnf( $equal(and(not(t7),X_512),and(X_512,not(t7))) )],[refute_0_16729,refute_0_16730]) ).
cnf(refute_0_16732,plain,
ll0 = and(t4,and(X_512,not(t7))),
inference(resolve,[$cnf( $equal(ll0,and(t4,and(not(t7),X_512))) )],[refute_0_16726,refute_0_16731]) ).
cnf(refute_0_16733,plain,
ll0 = and(t4,and(not(X),not(t7))),
inference(subst,[],[refute_0_16732:[bind(X_512,$fot(not(X)))]]) ).
cnf(refute_0_16734,plain,
( and(not(X),not(t7)) != not(or(X,t7))
| ll0 != and(t4,and(not(X),not(t7)))
| ll0 = and(t4,not(or(X,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(t4,and(not(X),not(t7)))) ),[1,1],$fot(not(or(X,t7)))]]) ).
cnf(refute_0_16735,plain,
( ll0 != and(t4,and(not(X),not(t7)))
| ll0 = and(t4,not(or(X,t7))) ),
inference(resolve,[$cnf( $equal(and(not(X),not(t7)),not(or(X,t7))) )],[refute_0_8690,refute_0_16734]) ).
cnf(refute_0_16736,plain,
ll0 = and(t4,not(or(X,t7))),
inference(resolve,[$cnf( $equal(ll0,and(t4,and(not(X),not(t7)))) )],[refute_0_16733,refute_0_16735]) ).
cnf(refute_0_16737,plain,
ll0 = and(t4,not(or(X_593,t7))),
inference(subst,[],[refute_0_16736:[bind(X,$fot(X_593))]]) ).
cnf(refute_0_16738,plain,
( ll0 != and(t4,not(or(X_593,t7)))
| and(t4,not(or(X_593,t7))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(t4,not(or(X_593,t7)))))]]) ).
cnf(refute_0_16739,plain,
and(t4,not(or(X_593,t7))) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(t4,not(or(X_593,t7)))) )],[refute_0_16737,refute_0_16738]) ).
cnf(refute_0_16740,plain,
( and(t4,not(or(X_593,t7))) != ll0
| or(and(t4,not(or(X_593,t7))),and(not(t4),or(X_593,t7))) != xor(t4,or(X_593,t7))
| or(ll0,and(not(t4),or(X_593,t7))) = xor(t4,or(X_593,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,not(or(X_593,t7))),and(not(t4),or(X_593,t7))),xor(t4,or(X_593,t7))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_16741,plain,
( or(and(t4,not(or(X_593,t7))),and(not(t4),or(X_593,t7))) != xor(t4,or(X_593,t7))
| or(ll0,and(not(t4),or(X_593,t7))) = xor(t4,or(X_593,t7)) ),
inference(resolve,[$cnf( $equal(and(t4,not(or(X_593,t7))),ll0) )],[refute_0_16739,refute_0_16740]) ).
cnf(refute_0_16742,plain,
or(ll0,and(not(t4),or(X_593,t7))) = xor(t4,or(X_593,t7)),
inference(resolve,[$cnf( $equal(or(and(t4,not(or(X_593,t7))),and(not(t4),or(X_593,t7))),xor(t4,or(X_593,t7))) )],[refute_0_16725,refute_0_16741]) ).
cnf(refute_0_16743,plain,
or(ll0,and(not(t4),or(X_593,t7))) = and(not(t4),or(X_593,t7)),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(t4),or(X_593,t7))))]]) ).
cnf(refute_0_16744,plain,
( or(ll0,and(not(t4),or(X_593,t7))) != and(not(t4),or(X_593,t7))
| or(ll0,and(not(t4),or(X_593,t7))) != xor(t4,or(X_593,t7))
| and(not(t4),or(X_593,t7)) = xor(t4,or(X_593,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(t4),or(X_593,t7))),xor(t4,or(X_593,t7))) ),[0],$fot(and(not(t4),or(X_593,t7)))]]) ).
cnf(refute_0_16745,plain,
( or(ll0,and(not(t4),or(X_593,t7))) != xor(t4,or(X_593,t7))
| and(not(t4),or(X_593,t7)) = xor(t4,or(X_593,t7)) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t4),or(X_593,t7))),and(not(t4),or(X_593,t7))) )],[refute_0_16743,refute_0_16744]) ).
cnf(refute_0_16746,plain,
and(not(t4),or(X_593,t7)) = xor(t4,or(X_593,t7)),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t4),or(X_593,t7))),xor(t4,or(X_593,t7))) )],[refute_0_16742,refute_0_16745]) ).
cnf(refute_0_16747,plain,
and(not(t4),or(t1,t7)) = xor(t4,or(t1,t7)),
inference(subst,[],[refute_0_16746:[bind(X_593,$fot(t1))]]) ).
cnf(refute_0_16748,plain,
( and(not(t4),Z) != and(t5,and(t6,Z))
| and(t5,and(t6,Z)) = and(not(t4),Z) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t4),Z))),bind(Y0,$fot(and(t5,and(t6,Z))))]]) ).
cnf(refute_0_16749,plain,
and(t5,and(t6,Z)) = and(not(t4),Z),
inference(resolve,[$cnf( $equal(and(not(t4),Z),and(t5,and(t6,Z))) )],[refute_0_5450,refute_0_16748]) ).
cnf(refute_0_16750,plain,
and(t5,and(t6,or(t1,t7))) = and(not(t4),or(t1,t7)),
inference(subst,[],[refute_0_16749:[bind(Z,$fot(or(t1,t7)))]]) ).
cnf(refute_0_16751,plain,
( and(not(t4),or(t1,t7)) != xor(t4,or(t1,t7))
| and(t5,and(t6,or(t1,t7))) != and(not(t4),or(t1,t7))
| and(t5,and(t6,or(t1,t7))) = xor(t4,or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t5,and(t6,or(t1,t7))))),bind(Y0,$fot(and(not(t4),or(t1,t7)))),bind(Z0,$fot(xor(t4,or(t1,t7))))]]) ).
cnf(refute_0_16752,plain,
( and(not(t4),or(t1,t7)) != xor(t4,or(t1,t7))
| and(t5,and(t6,or(t1,t7))) = xor(t4,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(t5,and(t6,or(t1,t7))),and(not(t4),or(t1,t7))) )],[refute_0_16750,refute_0_16751]) ).
cnf(refute_0_16753,plain,
and(t5,and(t6,or(t1,t7))) = xor(t4,or(t1,t7)),
inference(resolve,[$cnf( $equal(and(not(t4),or(t1,t7)),xor(t4,or(t1,t7))) )],[refute_0_16747,refute_0_16752]) ).
cnf(refute_0_16754,plain,
and(t5,xor(sum,or(a,t7))) = and(t5,xor(sum,or(a,t7))),
introduced(tautology,[refl,[$fot(and(t5,xor(sum,or(a,t7))))]]) ).
cnf(refute_0_16755,plain,
( and(t5,xor(sum,or(a,t7))) != and(t5,xor(sum,or(a,t7)))
| xor(sum,or(a,t7)) != and(t6,or(t1,t7))
| and(t5,xor(sum,or(a,t7))) = and(t5,and(t6,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,xor(sum,or(a,t7))),and(t5,xor(sum,or(a,t7)))) ),[1,1],$fot(and(t6,or(t1,t7)))]]) ).
cnf(refute_0_16756,plain,
( xor(sum,or(a,t7)) != and(t6,or(t1,t7))
| and(t5,xor(sum,or(a,t7))) = and(t5,and(t6,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(and(t5,xor(sum,or(a,t7))),and(t5,xor(sum,or(a,t7)))) )],[refute_0_16754,refute_0_16755]) ).
cnf(refute_0_16757,plain,
and(t5,xor(sum,or(a,t7))) = and(t5,and(t6,or(t1,t7))),
inference(resolve,[$cnf( $equal(xor(sum,or(a,t7)),and(t6,or(t1,t7))) )],[refute_0_10985,refute_0_16756]) ).
cnf(refute_0_16758,plain,
( and(t5,and(t6,or(t1,t7))) != xor(t4,or(t1,t7))
| and(t5,xor(sum,or(a,t7))) != and(t5,and(t6,or(t1,t7)))
| and(t5,xor(sum,or(a,t7))) = xor(t4,or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t5,xor(sum,or(a,t7))))),bind(Y0,$fot(and(t5,and(t6,or(t1,t7))))),bind(Z0,$fot(xor(t4,or(t1,t7))))]]) ).
cnf(refute_0_16759,plain,
( and(t5,and(t6,or(t1,t7))) != xor(t4,or(t1,t7))
| and(t5,xor(sum,or(a,t7))) = xor(t4,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(t5,xor(sum,or(a,t7))),and(t5,and(t6,or(t1,t7)))) )],[refute_0_16757,refute_0_16758]) ).
cnf(refute_0_16760,plain,
and(t5,xor(sum,or(a,t7))) = xor(t4,or(t1,t7)),
inference(resolve,[$cnf( $equal(and(t5,and(t6,or(t1,t7))),xor(t4,or(t1,t7))) )],[refute_0_16753,refute_0_16759]) ).
cnf(refute_0_16761,plain,
( and(t5,xor(sum,or(a,t7))) != xor(t4,or(t1,t7))
| not(xor(cin,and(sum,t1))) != and(t5,xor(sum,or(a,t7)))
| not(xor(cin,and(sum,t1))) = xor(t4,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(cin,and(sum,t1))),and(t5,xor(sum,or(a,t7)))) ),[1],$fot(xor(t4,or(t1,t7)))]]) ).
cnf(refute_0_16762,plain,
( not(xor(cin,and(sum,t1))) != and(t5,xor(sum,or(a,t7)))
| not(xor(cin,and(sum,t1))) = xor(t4,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(t5,xor(sum,or(a,t7))),xor(t4,or(t1,t7))) )],[refute_0_16760,refute_0_16761]) ).
cnf(refute_0_16763,plain,
not(xor(cin,and(sum,t1))) = xor(t4,or(t1,t7)),
inference(resolve,[$cnf( $equal(not(xor(cin,and(sum,t1))),and(t5,xor(sum,or(a,t7)))) )],[refute_0_16724,refute_0_16762]) ).
cnf(refute_0_16764,plain,
xor(cin,not(and(sum,t1))) = not(xor(cin,and(sum,t1))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(cin)),bind(X_334,$fot(and(sum,t1)))]]) ).
cnf(refute_0_16765,plain,
( not(xor(cin,and(sum,t1))) != xor(t4,or(t1,t7))
| xor(cin,not(and(sum,t1))) != not(xor(cin,and(sum,t1)))
| xor(cin,not(and(sum,t1))) = xor(t4,or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(cin,not(and(sum,t1))))),bind(Y0,$fot(not(xor(cin,and(sum,t1))))),bind(Z0,$fot(xor(t4,or(t1,t7))))]]) ).
cnf(refute_0_16766,plain,
( not(xor(cin,and(sum,t1))) != xor(t4,or(t1,t7))
| xor(cin,not(and(sum,t1))) = xor(t4,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(xor(cin,not(and(sum,t1))),not(xor(cin,and(sum,t1)))) )],[refute_0_16764,refute_0_16765]) ).
cnf(refute_0_16767,plain,
xor(cin,not(and(sum,t1))) = xor(t4,or(t1,t7)),
inference(resolve,[$cnf( $equal(not(xor(cin,and(sum,t1))),xor(t4,or(t1,t7))) )],[refute_0_16763,refute_0_16766]) ).
cnf(refute_0_16768,plain,
( xor(cin,not(and(sum,t1))) != xor(t4,or(t1,t7))
| xor(cin,not(and(sum,t1))) != xor(t5,and(sum,or(a,b)))
| xor(t4,or(t1,t7)) = xor(t5,and(sum,or(a,b))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,not(and(sum,t1))),xor(t5,and(sum,or(a,b)))) ),[0],$fot(xor(t4,or(t1,t7)))]]) ).
cnf(refute_0_16769,plain,
( xor(cin,not(and(sum,t1))) != xor(t5,and(sum,or(a,b)))
| xor(t4,or(t1,t7)) = xor(t5,and(sum,or(a,b))) ),
inference(resolve,[$cnf( $equal(xor(cin,not(and(sum,t1))),xor(t4,or(t1,t7))) )],[refute_0_16767,refute_0_16768]) ).
cnf(refute_0_16770,plain,
xor(t4,or(t1,t7)) = xor(t5,and(sum,or(a,b))),
inference(resolve,[$cnf( $equal(xor(cin,not(and(sum,t1))),xor(t5,and(sum,or(a,b)))) )],[refute_0_16696,refute_0_16769]) ).
cnf(refute_0_16771,plain,
( xor(t4,or(t1,t7)) != xor(t5,and(sum,or(a,b)))
| xor(t5,and(sum,or(a,b))) = xor(t4,or(t1,t7)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t4,or(t1,t7)))),bind(Y0,$fot(xor(t5,and(sum,or(a,b)))))]]) ).
cnf(refute_0_16772,plain,
xor(t5,and(sum,or(a,b))) = xor(t4,or(t1,t7)),
inference(resolve,[$cnf( $equal(xor(t4,or(t1,t7)),xor(t5,and(sum,or(a,b)))) )],[refute_0_16770,refute_0_16771]) ).
cnf(refute_0_16773,plain,
( xor(carry,xor(t5,and(sum,or(a,b)))) != xor(t1,and(sum,or(a,b)))
| xor(t5,and(sum,or(a,b))) != xor(t4,or(t1,t7))
| xor(carry,xor(t4,or(t1,t7))) = xor(t1,and(sum,or(a,b))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(t5,and(sum,or(a,b)))),xor(t1,and(sum,or(a,b)))) ),[0,1],$fot(xor(t4,or(t1,t7)))]]) ).
cnf(refute_0_16774,plain,
( xor(carry,xor(t5,and(sum,or(a,b)))) != xor(t1,and(sum,or(a,b)))
| xor(carry,xor(t4,or(t1,t7))) = xor(t1,and(sum,or(a,b))) ),
inference(resolve,[$cnf( $equal(xor(t5,and(sum,or(a,b))),xor(t4,or(t1,t7))) )],[refute_0_16772,refute_0_16773]) ).
cnf(refute_0_16775,plain,
xor(carry,xor(t4,or(t1,t7))) = xor(t1,and(sum,or(a,b))),
inference(resolve,[$cnf( $equal(xor(carry,xor(t5,and(sum,or(a,b)))),xor(t1,and(sum,or(a,b)))) )],[refute_0_16692,refute_0_16774]) ).
cnf(refute_0_16776,plain,
xor(and(sum,or(a,b)),t1) = xor(t1,and(sum,or(a,b))),
inference(subst,[],[xor_commutative:[bind(X,$fot(and(sum,or(a,b)))),bind(Y,$fot(t1))]]) ).
cnf(refute_0_16777,plain,
( xor(carry,xor(t4,or(t1,t7))) != xor(t1,and(sum,or(a,b)))
| xor(t1,and(sum,or(a,b))) = xor(carry,xor(t4,or(t1,t7))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(carry,xor(t4,or(t1,t7))))),bind(Y0,$fot(xor(t1,and(sum,or(a,b)))))]]) ).
cnf(refute_0_16778,plain,
xor(t1,and(sum,or(a,b))) = xor(carry,xor(t4,or(t1,t7))),
inference(resolve,[$cnf( $equal(xor(carry,xor(t4,or(t1,t7))),xor(t1,and(sum,or(a,b)))) )],[refute_0_16775,refute_0_16777]) ).
cnf(refute_0_16779,plain,
( xor(and(sum,or(a,b)),t1) != xor(t1,and(sum,or(a,b)))
| xor(t1,and(sum,or(a,b))) != xor(carry,xor(t4,or(t1,t7)))
| xor(and(sum,or(a,b)),t1) = xor(carry,xor(t4,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(and(sum,or(a,b)),t1),xor(carry,xor(t4,or(t1,t7)))) ),[0],$fot(xor(t1,and(sum,or(a,b))))]]) ).
cnf(refute_0_16780,plain,
( xor(and(sum,or(a,b)),t1) != xor(t1,and(sum,or(a,b)))
| xor(and(sum,or(a,b)),t1) = xor(carry,xor(t4,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(xor(t1,and(sum,or(a,b))),xor(carry,xor(t4,or(t1,t7)))) )],[refute_0_16778,refute_0_16779]) ).
cnf(refute_0_16781,plain,
xor(and(sum,or(a,b)),t1) = xor(carry,xor(t4,or(t1,t7))),
inference(resolve,[$cnf( $equal(xor(and(sum,or(a,b)),t1),xor(t1,and(sum,or(a,b)))) )],[refute_0_16776,refute_0_16780]) ).
cnf(refute_0_16782,plain,
( xor(carry,xor(t6,Z)) != xor(b,xor(t2,Z))
| xor(t1,xor(t4,Z)) != xor(carry,xor(t6,Z))
| xor(t1,xor(t4,Z)) = xor(b,xor(t2,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,xor(t4,Z)),xor(carry,xor(t6,Z))) ),[1],$fot(xor(b,xor(t2,Z)))]]) ).
cnf(refute_0_16783,plain,
( xor(t1,xor(t4,Z)) != xor(carry,xor(t6,Z))
| xor(t1,xor(t4,Z)) = xor(b,xor(t2,Z)) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(t6,Z)),xor(b,xor(t2,Z))) )],[refute_0_2252,refute_0_16782]) ).
cnf(refute_0_16784,plain,
xor(t1,xor(t4,Z)) = xor(b,xor(t2,Z)),
inference(resolve,[$cnf( $equal(xor(t1,xor(t4,Z)),xor(carry,xor(t6,Z))) )],[refute_0_1610,refute_0_16783]) ).
cnf(refute_0_16785,plain,
xor(b,xor(t2,Z)) = xor(a,xor(t3,Z)),
inference(subst,[],[refute_0_4805:[bind(Y,$fot(Z))]]) ).
cnf(refute_0_16786,plain,
( xor(b,xor(t2,Z)) != xor(a,xor(t3,Z))
| xor(t1,xor(t4,Z)) != xor(b,xor(t2,Z))
| xor(t1,xor(t4,Z)) = xor(a,xor(t3,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,xor(t4,Z)),xor(b,xor(t2,Z))) ),[1],$fot(xor(a,xor(t3,Z)))]]) ).
cnf(refute_0_16787,plain,
( xor(t1,xor(t4,Z)) != xor(b,xor(t2,Z))
| xor(t1,xor(t4,Z)) = xor(a,xor(t3,Z)) ),
inference(resolve,[$cnf( $equal(xor(b,xor(t2,Z)),xor(a,xor(t3,Z))) )],[refute_0_16785,refute_0_16786]) ).
cnf(refute_0_16788,plain,
xor(t1,xor(t4,Z)) = xor(a,xor(t3,Z)),
inference(resolve,[$cnf( $equal(xor(t1,xor(t4,Z)),xor(b,xor(t2,Z))) )],[refute_0_16784,refute_0_16787]) ).
cnf(refute_0_16789,plain,
xor(t1,xor(t4,and(carry_def,cin))) = xor(a,xor(t3,and(carry_def,cin))),
inference(subst,[],[refute_0_16788:[bind(Z,$fot(and(carry_def,cin)))]]) ).
cnf(refute_0_16790,plain,
xor(t4,xor(t1,and(carry_def,cin))) = xor(t1,xor(t4,and(carry_def,cin))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(t1)),bind(X_334,$fot(t4)),bind(X_335,$fot(and(carry_def,cin)))]]) ).
cnf(refute_0_16791,plain,
( xor(t1,xor(t4,and(carry_def,cin))) != xor(a,xor(t3,and(carry_def,cin)))
| xor(t4,xor(t1,and(carry_def,cin))) != xor(t1,xor(t4,and(carry_def,cin)))
| xor(t4,xor(t1,and(carry_def,cin))) = xor(a,xor(t3,and(carry_def,cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t4,xor(t1,and(carry_def,cin))))),bind(Y0,$fot(xor(t1,xor(t4,and(carry_def,cin))))),bind(Z0,$fot(xor(a,xor(t3,and(carry_def,cin)))))]]) ).
cnf(refute_0_16792,plain,
( xor(t1,xor(t4,and(carry_def,cin))) != xor(a,xor(t3,and(carry_def,cin)))
| xor(t4,xor(t1,and(carry_def,cin))) = xor(a,xor(t3,and(carry_def,cin))) ),
inference(resolve,[$cnf( $equal(xor(t4,xor(t1,and(carry_def,cin))),xor(t1,xor(t4,and(carry_def,cin)))) )],[refute_0_16790,refute_0_16791]) ).
cnf(refute_0_16793,plain,
xor(t4,xor(t1,and(carry_def,cin))) = xor(a,xor(t3,and(carry_def,cin))),
inference(resolve,[$cnf( $equal(xor(t1,xor(t4,and(carry_def,cin))),xor(a,xor(t3,and(carry_def,cin)))) )],[refute_0_16789,refute_0_16792]) ).
cnf(refute_0_16794,plain,
xor(t4,xor(and(carry_def,cin),t1)) = xor(t4,xor(t1,and(carry_def,cin))),
inference(subst,[],[refute_0_2105:[bind(X_333,$fot(t4)),bind(X_334,$fot(and(carry_def,cin))),bind(X_335,$fot(t1))]]) ).
cnf(refute_0_16795,plain,
( xor(t4,xor(and(carry_def,cin),t1)) != xor(t4,xor(t1,and(carry_def,cin)))
| xor(t4,xor(t1,and(carry_def,cin))) != xor(a,xor(t3,and(carry_def,cin)))
| xor(t4,xor(and(carry_def,cin),t1)) = xor(a,xor(t3,and(carry_def,cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t4,xor(and(carry_def,cin),t1)))),bind(Y0,$fot(xor(t4,xor(t1,and(carry_def,cin))))),bind(Z0,$fot(xor(a,xor(t3,and(carry_def,cin)))))]]) ).
cnf(refute_0_16796,plain,
( xor(t4,xor(t1,and(carry_def,cin))) != xor(a,xor(t3,and(carry_def,cin)))
| xor(t4,xor(and(carry_def,cin),t1)) = xor(a,xor(t3,and(carry_def,cin))) ),
inference(resolve,[$cnf( $equal(xor(t4,xor(and(carry_def,cin),t1)),xor(t4,xor(t1,and(carry_def,cin)))) )],[refute_0_16794,refute_0_16795]) ).
cnf(refute_0_16797,plain,
xor(t4,xor(and(carry_def,cin),t1)) = xor(a,xor(t3,and(carry_def,cin))),
inference(resolve,[$cnf( $equal(xor(t4,xor(t1,and(carry_def,cin))),xor(a,xor(t3,and(carry_def,cin)))) )],[refute_0_16793,refute_0_16796]) ).
cnf(refute_0_16798,plain,
xor(t4,xor(and(carry_def,cin),Z)) = xor(xor(t4,and(carry_def,cin)),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(t4)),bind(Y,$fot(and(carry_def,cin)))]]) ).
cnf(refute_0_16799,plain,
( xor(t4,and(carry_def,cin)) != and(sum,or(a,b))
| xor(t4,xor(and(carry_def,cin),Z)) != xor(xor(t4,and(carry_def,cin)),Z)
| xor(t4,xor(and(carry_def,cin),Z)) = xor(and(sum,or(a,b)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,xor(and(carry_def,cin),Z)),xor(xor(t4,and(carry_def,cin)),Z)) ),[1,0],$fot(and(sum,or(a,b)))]]) ).
cnf(refute_0_16800,plain,
( xor(t4,xor(and(carry_def,cin),Z)) != xor(xor(t4,and(carry_def,cin)),Z)
| xor(t4,xor(and(carry_def,cin),Z)) = xor(and(sum,or(a,b)),Z) ),
inference(resolve,[$cnf( $equal(xor(t4,and(carry_def,cin)),and(sum,or(a,b))) )],[refute_0_15306,refute_0_16799]) ).
cnf(refute_0_16801,plain,
xor(t4,xor(and(carry_def,cin),Z)) = xor(and(sum,or(a,b)),Z),
inference(resolve,[$cnf( $equal(xor(t4,xor(and(carry_def,cin),Z)),xor(xor(t4,and(carry_def,cin)),Z)) )],[refute_0_16798,refute_0_16800]) ).
cnf(refute_0_16802,plain,
( xor(t4,xor(and(carry_def,cin),Z)) != xor(and(sum,or(a,b)),Z)
| xor(and(sum,or(a,b)),Z) = xor(t4,xor(and(carry_def,cin),Z)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t4,xor(and(carry_def,cin),Z)))),bind(Y0,$fot(xor(and(sum,or(a,b)),Z)))]]) ).
cnf(refute_0_16803,plain,
xor(and(sum,or(a,b)),Z) = xor(t4,xor(and(carry_def,cin),Z)),
inference(resolve,[$cnf( $equal(xor(t4,xor(and(carry_def,cin),Z)),xor(and(sum,or(a,b)),Z)) )],[refute_0_16801,refute_0_16802]) ).
cnf(refute_0_16804,plain,
xor(and(sum,or(a,b)),t1) = xor(t4,xor(and(carry_def,cin),t1)),
inference(subst,[],[refute_0_16803:[bind(Z,$fot(t1))]]) ).
cnf(refute_0_16805,plain,
( xor(and(sum,or(a,b)),t1) != xor(t4,xor(and(carry_def,cin),t1))
| xor(t4,xor(and(carry_def,cin),t1)) != xor(a,xor(t3,and(carry_def,cin)))
| xor(and(sum,or(a,b)),t1) = xor(a,xor(t3,and(carry_def,cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(and(sum,or(a,b)),t1))),bind(Y0,$fot(xor(t4,xor(and(carry_def,cin),t1)))),bind(Z0,$fot(xor(a,xor(t3,and(carry_def,cin)))))]]) ).
cnf(refute_0_16806,plain,
( xor(t4,xor(and(carry_def,cin),t1)) != xor(a,xor(t3,and(carry_def,cin)))
| xor(and(sum,or(a,b)),t1) = xor(a,xor(t3,and(carry_def,cin))) ),
inference(resolve,[$cnf( $equal(xor(and(sum,or(a,b)),t1),xor(t4,xor(and(carry_def,cin),t1))) )],[refute_0_16804,refute_0_16805]) ).
cnf(refute_0_16807,plain,
xor(and(sum,or(a,b)),t1) = xor(a,xor(t3,and(carry_def,cin))),
inference(resolve,[$cnf( $equal(xor(t4,xor(and(carry_def,cin),t1)),xor(a,xor(t3,and(carry_def,cin)))) )],[refute_0_16797,refute_0_16806]) ).
cnf(refute_0_16808,plain,
( xor(and(sum,or(a,b)),t1) != xor(a,xor(t3,and(carry_def,cin)))
| xor(and(sum,or(a,b)),t1) != xor(carry,xor(t4,or(t1,t7)))
| xor(a,xor(t3,and(carry_def,cin))) = xor(carry,xor(t4,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(and(sum,or(a,b)),t1),xor(carry,xor(t4,or(t1,t7)))) ),[0],$fot(xor(a,xor(t3,and(carry_def,cin))))]]) ).
cnf(refute_0_16809,plain,
( xor(and(sum,or(a,b)),t1) != xor(carry,xor(t4,or(t1,t7)))
| xor(a,xor(t3,and(carry_def,cin))) = xor(carry,xor(t4,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(xor(and(sum,or(a,b)),t1),xor(a,xor(t3,and(carry_def,cin)))) )],[refute_0_16807,refute_0_16808]) ).
cnf(refute_0_16810,plain,
xor(a,xor(t3,and(carry_def,cin))) = xor(carry,xor(t4,or(t1,t7))),
inference(resolve,[$cnf( $equal(xor(and(sum,or(a,b)),t1),xor(carry,xor(t4,or(t1,t7)))) )],[refute_0_16781,refute_0_16809]) ).
cnf(refute_0_16811,plain,
( xor(a,xor(t3,and(carry_def,cin))) != xor(carry,xor(t4,or(t1,t7)))
| xor(carry,xor(t4,or(t1,t7))) = xor(a,xor(t3,and(carry_def,cin))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(a,xor(t3,and(carry_def,cin))))),bind(Y0,$fot(xor(carry,xor(t4,or(t1,t7)))))]]) ).
cnf(refute_0_16812,plain,
xor(carry,xor(t4,or(t1,t7))) = xor(a,xor(t3,and(carry_def,cin))),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,and(carry_def,cin))),xor(carry,xor(t4,or(t1,t7)))) )],[refute_0_16810,refute_0_16811]) ).
cnf(refute_0_16813,plain,
( xor(carry,xor(t4,or(t1,t7))) != xor(a,xor(t3,and(carry_def,cin)))
| xor(carry,xor(t4,or(t1,t7))) != xor(t1,and(sum,or(a,b)))
| xor(a,xor(t3,and(carry_def,cin))) = xor(t1,and(sum,or(a,b))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(t4,or(t1,t7))),xor(t1,and(sum,or(a,b)))) ),[0],$fot(xor(a,xor(t3,and(carry_def,cin))))]]) ).
cnf(refute_0_16814,plain,
( xor(carry,xor(t4,or(t1,t7))) != xor(t1,and(sum,or(a,b)))
| xor(a,xor(t3,and(carry_def,cin))) = xor(t1,and(sum,or(a,b))) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(t4,or(t1,t7))),xor(a,xor(t3,and(carry_def,cin)))) )],[refute_0_16812,refute_0_16813]) ).
cnf(refute_0_16815,plain,
xor(a,xor(t3,and(carry_def,cin))) = xor(t1,and(sum,or(a,b))),
inference(resolve,[$cnf( $equal(xor(carry,xor(t4,or(t1,t7))),xor(t1,and(sum,or(a,b)))) )],[refute_0_16775,refute_0_16814]) ).
cnf(refute_0_16816,plain,
( xor(a,xor(t3,and(carry_def,cin))) != xor(t1,and(sum,or(a,b)))
| xor(t1,and(sum,or(a,b))) = xor(a,xor(t3,and(carry_def,cin))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(a,xor(t3,and(carry_def,cin))))),bind(Y0,$fot(xor(t1,and(sum,or(a,b)))))]]) ).
cnf(refute_0_16817,plain,
xor(t1,and(sum,or(a,b))) = xor(a,xor(t3,and(carry_def,cin))),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,and(carry_def,cin))),xor(t1,and(sum,or(a,b)))) )],[refute_0_16815,refute_0_16816]) ).
cnf(refute_0_16818,plain,
( xor(a,xor(t1,and(sum,or(a,b)))) != xor(t2,and(sum,or(a,b)))
| xor(t1,and(sum,or(a,b))) != xor(a,xor(t3,and(carry_def,cin)))
| xor(a,xor(a,xor(t3,and(carry_def,cin)))) = xor(t2,and(sum,or(a,b))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t1,and(sum,or(a,b)))),xor(t2,and(sum,or(a,b)))) ),[0,1],$fot(xor(a,xor(t3,and(carry_def,cin))))]]) ).
cnf(refute_0_16819,plain,
( xor(a,xor(t1,and(sum,or(a,b)))) != xor(t2,and(sum,or(a,b)))
| xor(a,xor(a,xor(t3,and(carry_def,cin)))) = xor(t2,and(sum,or(a,b))) ),
inference(resolve,[$cnf( $equal(xor(t1,and(sum,or(a,b))),xor(a,xor(t3,and(carry_def,cin)))) )],[refute_0_16817,refute_0_16818]) ).
cnf(refute_0_16820,plain,
xor(a,xor(a,xor(t3,and(carry_def,cin)))) = xor(t2,and(sum,or(a,b))),
inference(resolve,[$cnf( $equal(xor(a,xor(t1,and(sum,or(a,b)))),xor(t2,and(sum,or(a,b)))) )],[refute_0_16691,refute_0_16819]) ).
cnf(refute_0_16821,plain,
xor(a,xor(a,xor(t3,and(carry_def,cin)))) = xor(t3,and(carry_def,cin)),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(a)),bind(X_335,$fot(xor(t3,and(carry_def,cin))))]]) ).
cnf(refute_0_16822,plain,
( xor(a,xor(a,xor(t3,and(carry_def,cin)))) != xor(t2,and(sum,or(a,b)))
| xor(a,xor(a,xor(t3,and(carry_def,cin)))) != xor(t3,and(carry_def,cin))
| xor(t3,and(carry_def,cin)) = xor(t2,and(sum,or(a,b))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(a,xor(t3,and(carry_def,cin)))),xor(t2,and(sum,or(a,b)))) ),[0],$fot(xor(t3,and(carry_def,cin)))]]) ).
cnf(refute_0_16823,plain,
( xor(a,xor(a,xor(t3,and(carry_def,cin)))) != xor(t2,and(sum,or(a,b)))
| xor(t3,and(carry_def,cin)) = xor(t2,and(sum,or(a,b))) ),
inference(resolve,[$cnf( $equal(xor(a,xor(a,xor(t3,and(carry_def,cin)))),xor(t3,and(carry_def,cin))) )],[refute_0_16821,refute_0_16822]) ).
cnf(refute_0_16824,plain,
( xor(a,xor(t1,and(sum,or(a,b)))) != xor(t2,and(sum,or(a,b)))
| xor(t1,and(sum,or(a,b))) != xor(carry,xor(t4,or(t1,t7)))
| xor(a,xor(carry,xor(t4,or(t1,t7)))) = xor(t2,and(sum,or(a,b))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t1,and(sum,or(a,b)))),xor(t2,and(sum,or(a,b)))) ),[0,1],$fot(xor(carry,xor(t4,or(t1,t7))))]]) ).
cnf(refute_0_16825,plain,
( xor(a,xor(t1,and(sum,or(a,b)))) != xor(t2,and(sum,or(a,b)))
| xor(a,xor(carry,xor(t4,or(t1,t7)))) = xor(t2,and(sum,or(a,b))) ),
inference(resolve,[$cnf( $equal(xor(t1,and(sum,or(a,b))),xor(carry,xor(t4,or(t1,t7)))) )],[refute_0_16778,refute_0_16824]) ).
cnf(refute_0_16826,plain,
xor(a,xor(carry,xor(t4,or(t1,t7)))) = xor(t2,and(sum,or(a,b))),
inference(resolve,[$cnf( $equal(xor(a,xor(t1,and(sum,or(a,b)))),xor(t2,and(sum,or(a,b)))) )],[refute_0_16691,refute_0_16825]) ).
cnf(refute_0_16827,plain,
xor(a,xor(xor(carry,t4),Z)) = xor(xor(a,xor(carry,t4)),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(a)),bind(Y,$fot(xor(carry,t4)))]]) ).
cnf(refute_0_16828,plain,
xor(t4,xor(t2,t5)) = xor(t6,t2),
inference(subst,[],[refute_0_2517:[bind(X_338,$fot(t2))]]) ).
cnf(refute_0_16829,plain,
xor(a,xor(t1,t5)) = xor(t2,t5),
inference(subst,[],[refute_0_370:[bind(X_335,$fot(t5))]]) ).
cnf(refute_0_16830,plain,
( xor(a,xor(t1,t5)) != xor(t2,t5)
| xor(t1,t5) != carry
| xor(a,carry) = xor(t2,t5) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t1,t5)),xor(t2,t5)) ),[0,1],$fot(carry)]]) ).
cnf(refute_0_16831,plain,
( xor(a,xor(t1,t5)) != xor(t2,t5)
| xor(a,carry) = xor(t2,t5) ),
inference(resolve,[$cnf( $equal(xor(t1,t5),carry) )],[refute_0_1346,refute_0_16830]) ).
cnf(refute_0_16832,plain,
xor(a,carry) = xor(t2,t5),
inference(resolve,[$cnf( $equal(xor(a,xor(t1,t5)),xor(t2,t5)) )],[refute_0_16829,refute_0_16831]) ).
cnf(refute_0_16833,plain,
( xor(a,carry) != xor(t2,t5)
| xor(t2,t5) = xor(a,carry) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(a,carry))),bind(Y0,$fot(xor(t2,t5)))]]) ).
cnf(refute_0_16834,plain,
xor(t2,t5) = xor(a,carry),
inference(resolve,[$cnf( $equal(xor(a,carry),xor(t2,t5)) )],[refute_0_16832,refute_0_16833]) ).
cnf(refute_0_16835,plain,
( xor(t2,t5) != xor(a,carry)
| xor(t4,xor(t2,t5)) != xor(t6,t2)
| xor(t4,xor(a,carry)) = xor(t6,t2) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,xor(t2,t5)),xor(t6,t2)) ),[0,1],$fot(xor(a,carry))]]) ).
cnf(refute_0_16836,plain,
( xor(t4,xor(t2,t5)) != xor(t6,t2)
| xor(t4,xor(a,carry)) = xor(t6,t2) ),
inference(resolve,[$cnf( $equal(xor(t2,t5),xor(a,carry)) )],[refute_0_16834,refute_0_16835]) ).
cnf(refute_0_16837,plain,
xor(t4,xor(a,carry)) = xor(t6,t2),
inference(resolve,[$cnf( $equal(xor(t4,xor(t2,t5)),xor(t6,t2)) )],[refute_0_16828,refute_0_16836]) ).
cnf(refute_0_16838,plain,
xor(a,xor(t4,carry)) = xor(a,xor(carry,t4)),
inference(subst,[],[refute_0_2105:[bind(X_333,$fot(a)),bind(X_334,$fot(t4)),bind(X_335,$fot(carry))]]) ).
cnf(refute_0_16839,plain,
xor(t4,xor(a,carry)) = xor(a,xor(t4,carry)),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(a)),bind(X_334,$fot(t4)),bind(X_335,$fot(carry))]]) ).
cnf(refute_0_16840,plain,
( xor(a,xor(t4,carry)) != xor(a,xor(carry,t4))
| xor(t4,xor(a,carry)) != xor(a,xor(t4,carry))
| xor(t4,xor(a,carry)) = xor(a,xor(carry,t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t4,xor(a,carry)))),bind(Y0,$fot(xor(a,xor(t4,carry)))),bind(Z0,$fot(xor(a,xor(carry,t4))))]]) ).
cnf(refute_0_16841,plain,
( xor(a,xor(t4,carry)) != xor(a,xor(carry,t4))
| xor(t4,xor(a,carry)) = xor(a,xor(carry,t4)) ),
inference(resolve,[$cnf( $equal(xor(t4,xor(a,carry)),xor(a,xor(t4,carry))) )],[refute_0_16839,refute_0_16840]) ).
cnf(refute_0_16842,plain,
xor(t4,xor(a,carry)) = xor(a,xor(carry,t4)),
inference(resolve,[$cnf( $equal(xor(a,xor(t4,carry)),xor(a,xor(carry,t4))) )],[refute_0_16838,refute_0_16841]) ).
cnf(refute_0_16843,plain,
( xor(t4,xor(a,carry)) != xor(a,xor(carry,t4))
| xor(t4,xor(a,carry)) != xor(t6,t2)
| xor(a,xor(carry,t4)) = xor(t6,t2) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,xor(a,carry)),xor(t6,t2)) ),[0],$fot(xor(a,xor(carry,t4)))]]) ).
cnf(refute_0_16844,plain,
( xor(t4,xor(a,carry)) != xor(t6,t2)
| xor(a,xor(carry,t4)) = xor(t6,t2) ),
inference(resolve,[$cnf( $equal(xor(t4,xor(a,carry)),xor(a,xor(carry,t4))) )],[refute_0_16842,refute_0_16843]) ).
cnf(refute_0_16845,plain,
xor(t6,t2) = xor(t2,t6),
inference(subst,[],[refute_0_4861:[bind(X,$fot(t6))]]) ).
cnf(refute_0_16846,plain,
( xor(a,xor(carry,t4)) != xor(t6,t2)
| xor(t6,t2) != xor(t2,t6)
| xor(a,xor(carry,t4)) = xor(t2,t6) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(a,xor(carry,t4)),xor(t2,t6)) ),[0],$fot(xor(t6,t2))]]) ).
cnf(refute_0_16847,plain,
( xor(a,xor(carry,t4)) != xor(t6,t2)
| xor(a,xor(carry,t4)) = xor(t2,t6) ),
inference(resolve,[$cnf( $equal(xor(t6,t2),xor(t2,t6)) )],[refute_0_16845,refute_0_16846]) ).
cnf(refute_0_16848,plain,
( xor(t4,xor(a,carry)) != xor(t6,t2)
| xor(a,xor(carry,t4)) = xor(t2,t6) ),
inference(resolve,[$cnf( $equal(xor(a,xor(carry,t4)),xor(t6,t2)) )],[refute_0_16844,refute_0_16847]) ).
cnf(refute_0_16849,plain,
xor(a,xor(carry,t4)) = xor(t2,t6),
inference(resolve,[$cnf( $equal(xor(t4,xor(a,carry)),xor(t6,t2)) )],[refute_0_16837,refute_0_16848]) ).
cnf(refute_0_16850,plain,
( xor(a,xor(carry,t4)) != xor(t2,t6)
| xor(a,xor(xor(carry,t4),Z)) != xor(xor(a,xor(carry,t4)),Z)
| xor(a,xor(xor(carry,t4),Z)) = xor(xor(t2,t6),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(xor(carry,t4),Z)),xor(xor(a,xor(carry,t4)),Z)) ),[1,0],$fot(xor(t2,t6))]]) ).
cnf(refute_0_16851,plain,
( xor(a,xor(xor(carry,t4),Z)) != xor(xor(a,xor(carry,t4)),Z)
| xor(a,xor(xor(carry,t4),Z)) = xor(xor(t2,t6),Z) ),
inference(resolve,[$cnf( $equal(xor(a,xor(carry,t4)),xor(t2,t6)) )],[refute_0_16849,refute_0_16850]) ).
cnf(refute_0_16852,plain,
xor(a,xor(xor(carry,t4),Z)) = xor(xor(t2,t6),Z),
inference(resolve,[$cnf( $equal(xor(a,xor(xor(carry,t4),Z)),xor(xor(a,xor(carry,t4)),Z)) )],[refute_0_16827,refute_0_16851]) ).
cnf(refute_0_16853,plain,
xor(xor(carry,t4),Z) = xor(carry,xor(t4,Z)),
inference(subst,[],[refute_0_526:[bind(X,$fot(carry)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_16854,plain,
xor(a,xor(xor(carry,t4),Z)) = xor(a,xor(xor(carry,t4),Z)),
introduced(tautology,[refl,[$fot(xor(a,xor(xor(carry,t4),Z)))]]) ).
cnf(refute_0_16855,plain,
( xor(a,xor(xor(carry,t4),Z)) != xor(a,xor(xor(carry,t4),Z))
| xor(xor(carry,t4),Z) != xor(carry,xor(t4,Z))
| xor(a,xor(xor(carry,t4),Z)) = xor(a,xor(carry,xor(t4,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(xor(carry,t4),Z)),xor(a,xor(xor(carry,t4),Z))) ),[1,1],$fot(xor(carry,xor(t4,Z)))]]) ).
cnf(refute_0_16856,plain,
( xor(xor(carry,t4),Z) != xor(carry,xor(t4,Z))
| xor(a,xor(xor(carry,t4),Z)) = xor(a,xor(carry,xor(t4,Z))) ),
inference(resolve,[$cnf( $equal(xor(a,xor(xor(carry,t4),Z)),xor(a,xor(xor(carry,t4),Z))) )],[refute_0_16854,refute_0_16855]) ).
cnf(refute_0_16857,plain,
xor(a,xor(xor(carry,t4),Z)) = xor(a,xor(carry,xor(t4,Z))),
inference(resolve,[$cnf( $equal(xor(xor(carry,t4),Z),xor(carry,xor(t4,Z))) )],[refute_0_16853,refute_0_16856]) ).
cnf(refute_0_16858,plain,
( xor(a,xor(xor(carry,t4),Z)) != xor(a,xor(carry,xor(t4,Z)))
| xor(a,xor(xor(carry,t4),Z)) != xor(xor(t2,t6),Z)
| xor(a,xor(carry,xor(t4,Z))) = xor(xor(t2,t6),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(xor(carry,t4),Z)),xor(xor(t2,t6),Z)) ),[0],$fot(xor(a,xor(carry,xor(t4,Z))))]]) ).
cnf(refute_0_16859,plain,
( xor(a,xor(xor(carry,t4),Z)) != xor(xor(t2,t6),Z)
| xor(a,xor(carry,xor(t4,Z))) = xor(xor(t2,t6),Z) ),
inference(resolve,[$cnf( $equal(xor(a,xor(xor(carry,t4),Z)),xor(a,xor(carry,xor(t4,Z)))) )],[refute_0_16857,refute_0_16858]) ).
cnf(refute_0_16860,plain,
xor(xor(t2,t6),Z) = xor(t2,xor(t6,Z)),
inference(subst,[],[refute_0_526:[bind(X,$fot(t2)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_16861,plain,
( xor(a,xor(carry,xor(t4,Z))) != xor(xor(t2,t6),Z)
| xor(xor(t2,t6),Z) != xor(t2,xor(t6,Z))
| xor(a,xor(carry,xor(t4,Z))) = xor(t2,xor(t6,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(a,xor(carry,xor(t4,Z))),xor(t2,xor(t6,Z))) ),[0],$fot(xor(xor(t2,t6),Z))]]) ).
cnf(refute_0_16862,plain,
( xor(a,xor(carry,xor(t4,Z))) != xor(xor(t2,t6),Z)
| xor(a,xor(carry,xor(t4,Z))) = xor(t2,xor(t6,Z)) ),
inference(resolve,[$cnf( $equal(xor(xor(t2,t6),Z),xor(t2,xor(t6,Z))) )],[refute_0_16860,refute_0_16861]) ).
cnf(refute_0_16863,plain,
( xor(a,xor(xor(carry,t4),Z)) != xor(xor(t2,t6),Z)
| xor(a,xor(carry,xor(t4,Z))) = xor(t2,xor(t6,Z)) ),
inference(resolve,[$cnf( $equal(xor(a,xor(carry,xor(t4,Z))),xor(xor(t2,t6),Z)) )],[refute_0_16859,refute_0_16862]) ).
cnf(refute_0_16864,plain,
xor(a,xor(carry,xor(t4,Z))) = xor(t2,xor(t6,Z)),
inference(resolve,[$cnf( $equal(xor(a,xor(xor(carry,t4),Z)),xor(xor(t2,t6),Z)) )],[refute_0_16852,refute_0_16863]) ).
cnf(refute_0_16865,plain,
xor(t2,xor(t6,Z)) = xor(xor(t2,t6),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(t2)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_16866,plain,
xor(cin,xor(cin,xor(t2,t6))) = xor(t2,t6),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(cin)),bind(X_335,$fot(xor(t2,t6)))]]) ).
cnf(refute_0_16867,plain,
not(not(xor(a,xor(carry,sum)))) = xor(a,xor(carry,sum)),
inference(subst,[],[not_involution:[bind(X,$fot(xor(a,xor(carry,sum))))]]) ).
cnf(refute_0_16868,plain,
xor(a,xor(t1,or(cin,sum))) = xor(t2,or(cin,sum)),
inference(subst,[],[refute_0_370:[bind(X_335,$fot(or(cin,sum)))]]) ).
cnf(refute_0_16869,plain,
xor(carry,xor(t5,or(cin,sum))) = xor(t1,or(cin,sum)),
inference(subst,[],[refute_0_8984:[bind(Z,$fot(or(cin,sum)))]]) ).
cnf(refute_0_16870,plain,
( xor(carry,xor(t5,or(cin,sum))) != xor(t1,or(cin,sum))
| xor(t5,or(cin,sum)) != not(sum)
| xor(carry,not(sum)) = xor(t1,or(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(t5,or(cin,sum))),xor(t1,or(cin,sum))) ),[0,1],$fot(not(sum))]]) ).
cnf(refute_0_16871,plain,
( xor(carry,xor(t5,or(cin,sum))) != xor(t1,or(cin,sum))
| xor(carry,not(sum)) = xor(t1,or(cin,sum)) ),
inference(resolve,[$cnf( $equal(xor(t5,or(cin,sum)),not(sum)) )],[refute_0_5379,refute_0_16870]) ).
cnf(refute_0_16872,plain,
xor(carry,not(sum)) = xor(t1,or(cin,sum)),
inference(resolve,[$cnf( $equal(xor(carry,xor(t5,or(cin,sum))),xor(t1,or(cin,sum))) )],[refute_0_16869,refute_0_16871]) ).
cnf(refute_0_16873,plain,
xor(carry,not(sum)) = not(xor(carry,sum)),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(carry)),bind(X_334,$fot(sum))]]) ).
cnf(refute_0_16874,plain,
( xor(carry,not(sum)) != not(xor(carry,sum))
| xor(carry,not(sum)) != xor(t1,or(cin,sum))
| not(xor(carry,sum)) = xor(t1,or(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,not(sum)),xor(t1,or(cin,sum))) ),[0],$fot(not(xor(carry,sum)))]]) ).
cnf(refute_0_16875,plain,
( xor(carry,not(sum)) != xor(t1,or(cin,sum))
| not(xor(carry,sum)) = xor(t1,or(cin,sum)) ),
inference(resolve,[$cnf( $equal(xor(carry,not(sum)),not(xor(carry,sum))) )],[refute_0_16873,refute_0_16874]) ).
cnf(refute_0_16876,plain,
not(xor(carry,sum)) = xor(t1,or(cin,sum)),
inference(resolve,[$cnf( $equal(xor(carry,not(sum)),xor(t1,or(cin,sum))) )],[refute_0_16872,refute_0_16875]) ).
cnf(refute_0_16877,plain,
( not(xor(carry,sum)) != xor(t1,or(cin,sum))
| xor(t1,or(cin,sum)) = not(xor(carry,sum)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(xor(carry,sum)))),bind(Y0,$fot(xor(t1,or(cin,sum))))]]) ).
cnf(refute_0_16878,plain,
xor(t1,or(cin,sum)) = not(xor(carry,sum)),
inference(resolve,[$cnf( $equal(not(xor(carry,sum)),xor(t1,or(cin,sum))) )],[refute_0_16876,refute_0_16877]) ).
cnf(refute_0_16879,plain,
( xor(a,xor(t1,or(cin,sum))) != xor(t2,or(cin,sum))
| xor(t1,or(cin,sum)) != not(xor(carry,sum))
| xor(a,not(xor(carry,sum))) = xor(t2,or(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t1,or(cin,sum))),xor(t2,or(cin,sum))) ),[0,1],$fot(not(xor(carry,sum)))]]) ).
cnf(refute_0_16880,plain,
( xor(a,xor(t1,or(cin,sum))) != xor(t2,or(cin,sum))
| xor(a,not(xor(carry,sum))) = xor(t2,or(cin,sum)) ),
inference(resolve,[$cnf( $equal(xor(t1,or(cin,sum)),not(xor(carry,sum))) )],[refute_0_16878,refute_0_16879]) ).
cnf(refute_0_16881,plain,
xor(a,not(xor(carry,sum))) = xor(t2,or(cin,sum)),
inference(resolve,[$cnf( $equal(xor(a,xor(t1,or(cin,sum))),xor(t2,or(cin,sum))) )],[refute_0_16868,refute_0_16880]) ).
cnf(refute_0_16882,plain,
xor(a,not(xor(carry,sum))) = not(xor(a,xor(carry,sum))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(a)),bind(X_334,$fot(xor(carry,sum)))]]) ).
cnf(refute_0_16883,plain,
( xor(a,not(xor(carry,sum))) != not(xor(a,xor(carry,sum)))
| xor(a,not(xor(carry,sum))) != xor(t2,or(cin,sum))
| not(xor(a,xor(carry,sum))) = xor(t2,or(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,not(xor(carry,sum))),xor(t2,or(cin,sum))) ),[0],$fot(not(xor(a,xor(carry,sum))))]]) ).
cnf(refute_0_16884,plain,
( xor(a,not(xor(carry,sum))) != xor(t2,or(cin,sum))
| not(xor(a,xor(carry,sum))) = xor(t2,or(cin,sum)) ),
inference(resolve,[$cnf( $equal(xor(a,not(xor(carry,sum))),not(xor(a,xor(carry,sum)))) )],[refute_0_16882,refute_0_16883]) ).
cnf(refute_0_16885,plain,
not(xor(a,xor(carry,sum))) = xor(t2,or(cin,sum)),
inference(resolve,[$cnf( $equal(xor(a,not(xor(carry,sum))),xor(t2,or(cin,sum))) )],[refute_0_16881,refute_0_16884]) ).
cnf(refute_0_16886,plain,
( not(not(xor(a,xor(carry,sum)))) != xor(a,xor(carry,sum))
| not(xor(a,xor(carry,sum))) != xor(t2,or(cin,sum))
| not(xor(t2,or(cin,sum))) = xor(a,xor(carry,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(xor(a,xor(carry,sum)))),xor(a,xor(carry,sum))) ),[0,0],$fot(xor(t2,or(cin,sum)))]]) ).
cnf(refute_0_16887,plain,
( not(not(xor(a,xor(carry,sum)))) != xor(a,xor(carry,sum))
| not(xor(t2,or(cin,sum))) = xor(a,xor(carry,sum)) ),
inference(resolve,[$cnf( $equal(not(xor(a,xor(carry,sum))),xor(t2,or(cin,sum))) )],[refute_0_16885,refute_0_16886]) ).
cnf(refute_0_16888,plain,
not(xor(t2,or(cin,sum))) = xor(a,xor(carry,sum)),
inference(resolve,[$cnf( $equal(not(not(xor(a,xor(carry,sum)))),xor(a,xor(carry,sum))) )],[refute_0_16867,refute_0_16887]) ).
cnf(refute_0_16889,plain,
xor(t2,xor(cin,t6)) = xor(cin,xor(t2,t6)),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(cin)),bind(X_334,$fot(t2)),bind(X_335,$fot(t6))]]) ).
cnf(refute_0_16890,plain,
not(xor(t2,or(cin,sum))) = xor(t2,xor(cin,t6)),
inference(subst,[],[refute_0_12383:[bind(X,$fot(t2))]]) ).
cnf(refute_0_16891,plain,
( not(xor(t2,or(cin,sum))) != xor(t2,xor(cin,t6))
| xor(t2,xor(cin,t6)) != xor(cin,xor(t2,t6))
| not(xor(t2,or(cin,sum))) = xor(cin,xor(t2,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t2,or(cin,sum))))),bind(Y0,$fot(xor(t2,xor(cin,t6)))),bind(Z0,$fot(xor(cin,xor(t2,t6))))]]) ).
cnf(refute_0_16892,plain,
( xor(t2,xor(cin,t6)) != xor(cin,xor(t2,t6))
| not(xor(t2,or(cin,sum))) = xor(cin,xor(t2,t6)) ),
inference(resolve,[$cnf( $equal(not(xor(t2,or(cin,sum))),xor(t2,xor(cin,t6))) )],[refute_0_16890,refute_0_16891]) ).
cnf(refute_0_16893,plain,
not(xor(t2,or(cin,sum))) = xor(cin,xor(t2,t6)),
inference(resolve,[$cnf( $equal(xor(t2,xor(cin,t6)),xor(cin,xor(t2,t6))) )],[refute_0_16889,refute_0_16892]) ).
cnf(refute_0_16894,plain,
( not(xor(t2,or(cin,sum))) != xor(a,xor(carry,sum))
| not(xor(t2,or(cin,sum))) != xor(cin,xor(t2,t6))
| xor(cin,xor(t2,t6)) = xor(a,xor(carry,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t2,or(cin,sum))),xor(a,xor(carry,sum))) ),[0],$fot(xor(cin,xor(t2,t6)))]]) ).
cnf(refute_0_16895,plain,
( not(xor(t2,or(cin,sum))) != xor(a,xor(carry,sum))
| xor(cin,xor(t2,t6)) = xor(a,xor(carry,sum)) ),
inference(resolve,[$cnf( $equal(not(xor(t2,or(cin,sum))),xor(cin,xor(t2,t6))) )],[refute_0_16893,refute_0_16894]) ).
cnf(refute_0_16896,plain,
xor(cin,xor(t2,t6)) = xor(a,xor(carry,sum)),
inference(resolve,[$cnf( $equal(not(xor(t2,or(cin,sum))),xor(a,xor(carry,sum))) )],[refute_0_16888,refute_0_16895]) ).
cnf(refute_0_16897,plain,
xor(a,xor(a,xor(t3,t7))) = xor(t3,t7),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(a)),bind(X_335,$fot(xor(t3,t7)))]]) ).
cnf(refute_0_16898,plain,
( xor(a,xor(a,xor(t3,t7))) != xor(t3,t7)
| xor(a,xor(t3,t7)) != xor(carry,sum)
| xor(a,xor(carry,sum)) = xor(t3,t7) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(a,xor(t3,t7))),xor(t3,t7)) ),[0,1],$fot(xor(carry,sum))]]) ).
cnf(refute_0_16899,plain,
( xor(a,xor(a,xor(t3,t7))) != xor(t3,t7)
| xor(a,xor(carry,sum)) = xor(t3,t7) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,t7)),xor(carry,sum)) )],[refute_0_4893,refute_0_16898]) ).
cnf(refute_0_16900,plain,
xor(a,xor(carry,sum)) = xor(t3,t7),
inference(resolve,[$cnf( $equal(xor(a,xor(a,xor(t3,t7))),xor(t3,t7)) )],[refute_0_16897,refute_0_16899]) ).
cnf(refute_0_16901,plain,
( xor(a,xor(carry,sum)) != xor(t3,t7)
| xor(cin,xor(t2,t6)) != xor(a,xor(carry,sum))
| xor(cin,xor(t2,t6)) = xor(t3,t7) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t2,t6)),xor(a,xor(carry,sum))) ),[1],$fot(xor(t3,t7))]]) ).
cnf(refute_0_16902,plain,
( xor(cin,xor(t2,t6)) != xor(a,xor(carry,sum))
| xor(cin,xor(t2,t6)) = xor(t3,t7) ),
inference(resolve,[$cnf( $equal(xor(a,xor(carry,sum)),xor(t3,t7)) )],[refute_0_16900,refute_0_16901]) ).
cnf(refute_0_16903,plain,
xor(cin,xor(t2,t6)) = xor(t3,t7),
inference(resolve,[$cnf( $equal(xor(cin,xor(t2,t6)),xor(a,xor(carry,sum))) )],[refute_0_16896,refute_0_16902]) ).
cnf(refute_0_16904,plain,
( xor(cin,xor(cin,xor(t2,t6))) != xor(t2,t6)
| xor(cin,xor(t2,t6)) != xor(t3,t7)
| xor(cin,xor(t3,t7)) = xor(t2,t6) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(cin,xor(t2,t6))),xor(t2,t6)) ),[0,1],$fot(xor(t3,t7))]]) ).
cnf(refute_0_16905,plain,
( xor(cin,xor(cin,xor(t2,t6))) != xor(t2,t6)
| xor(cin,xor(t3,t7)) = xor(t2,t6) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t2,t6)),xor(t3,t7)) )],[refute_0_16903,refute_0_16904]) ).
cnf(refute_0_16906,plain,
xor(cin,xor(t3,t7)) = xor(t2,t6),
inference(resolve,[$cnf( $equal(xor(cin,xor(cin,xor(t2,t6))),xor(t2,t6)) )],[refute_0_16866,refute_0_16905]) ).
cnf(refute_0_16907,plain,
xor(b,xor(t1,t5)) = xor(t3,t5),
inference(subst,[],[refute_0_1233:[bind(X_335,$fot(t5))]]) ).
cnf(refute_0_16908,plain,
( xor(b,xor(t1,t5)) != xor(t3,t5)
| xor(t1,t5) != carry
| xor(b,carry) = xor(t3,t5) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,xor(t1,t5)),xor(t3,t5)) ),[0,1],$fot(carry)]]) ).
cnf(refute_0_16909,plain,
( xor(b,xor(t1,t5)) != xor(t3,t5)
| xor(b,carry) = xor(t3,t5) ),
inference(resolve,[$cnf( $equal(xor(t1,t5),carry) )],[refute_0_1346,refute_0_16908]) ).
cnf(refute_0_16910,plain,
xor(b,carry) = xor(t3,t5),
inference(resolve,[$cnf( $equal(xor(b,xor(t1,t5)),xor(t3,t5)) )],[refute_0_16907,refute_0_16909]) ).
cnf(refute_0_16911,plain,
( xor(b,carry) != xor(t3,t5)
| xor(t3,t5) = xor(b,carry) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(b,carry))),bind(Y0,$fot(xor(t3,t5)))]]) ).
cnf(refute_0_16912,plain,
xor(t3,t5) = xor(b,carry),
inference(resolve,[$cnf( $equal(xor(b,carry),xor(t3,t5)) )],[refute_0_16910,refute_0_16911]) ).
cnf(refute_0_16913,plain,
xor(t5,t3) = xor(t3,t5),
inference(subst,[],[refute_0_1863:[bind(X_333,$fot(t5))]]) ).
cnf(refute_0_16914,plain,
( xor(t3,t5) != xor(b,carry)
| xor(t5,t3) != xor(t3,t5)
| xor(t5,t3) = xor(b,carry) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t5,t3))),bind(Y0,$fot(xor(t3,t5))),bind(Z0,$fot(xor(b,carry)))]]) ).
cnf(refute_0_16915,plain,
( xor(t3,t5) != xor(b,carry)
| xor(t5,t3) = xor(b,carry) ),
inference(resolve,[$cnf( $equal(xor(t5,t3),xor(t3,t5)) )],[refute_0_16913,refute_0_16914]) ).
cnf(refute_0_16916,plain,
xor(t5,t3) = xor(b,carry),
inference(resolve,[$cnf( $equal(xor(t3,t5),xor(b,carry)) )],[refute_0_16912,refute_0_16915]) ).
cnf(refute_0_16917,plain,
xor(cin,xor(t7,X_439)) = xor(t5,X_439),
inference(subst,[],[refute_0_11873:[bind(Z,$fot(X_439))]]) ).
cnf(refute_0_16918,plain,
xor(X_439,t7) = xor(t7,X_439),
inference(subst,[],[xor_commutative:[bind(X,$fot(X_439)),bind(Y,$fot(t7))]]) ).
cnf(refute_0_16919,plain,
( xor(X_439,t7) != xor(t7,X_439)
| xor(t7,X_439) = xor(X_439,t7) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X_439,t7))),bind(Y0,$fot(xor(t7,X_439)))]]) ).
cnf(refute_0_16920,plain,
xor(t7,X_439) = xor(X_439,t7),
inference(resolve,[$cnf( $equal(xor(X_439,t7),xor(t7,X_439)) )],[refute_0_16918,refute_0_16919]) ).
cnf(refute_0_16921,plain,
( xor(cin,xor(t7,X_439)) != xor(t5,X_439)
| xor(t7,X_439) != xor(X_439,t7)
| xor(cin,xor(X_439,t7)) = xor(t5,X_439) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t7,X_439)),xor(t5,X_439)) ),[0,1],$fot(xor(X_439,t7))]]) ).
cnf(refute_0_16922,plain,
( xor(cin,xor(t7,X_439)) != xor(t5,X_439)
| xor(cin,xor(X_439,t7)) = xor(t5,X_439) ),
inference(resolve,[$cnf( $equal(xor(t7,X_439),xor(X_439,t7)) )],[refute_0_16920,refute_0_16921]) ).
cnf(refute_0_16923,plain,
xor(cin,xor(X_439,t7)) = xor(t5,X_439),
inference(resolve,[$cnf( $equal(xor(cin,xor(t7,X_439)),xor(t5,X_439)) )],[refute_0_16917,refute_0_16922]) ).
cnf(refute_0_16924,plain,
xor(cin,xor(t3,t7)) = xor(t5,t3),
inference(subst,[],[refute_0_16923:[bind(X_439,$fot(t3))]]) ).
cnf(refute_0_16925,plain,
( xor(cin,xor(t3,t7)) != xor(t5,t3)
| xor(t5,t3) != xor(b,carry)
| xor(cin,xor(t3,t7)) = xor(b,carry) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(cin,xor(t3,t7)))),bind(Y0,$fot(xor(t5,t3))),bind(Z0,$fot(xor(b,carry)))]]) ).
cnf(refute_0_16926,plain,
( xor(t5,t3) != xor(b,carry)
| xor(cin,xor(t3,t7)) = xor(b,carry) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t3,t7)),xor(t5,t3)) )],[refute_0_16924,refute_0_16925]) ).
cnf(refute_0_16927,plain,
xor(cin,xor(t3,t7)) = xor(b,carry),
inference(resolve,[$cnf( $equal(xor(t5,t3),xor(b,carry)) )],[refute_0_16916,refute_0_16926]) ).
cnf(refute_0_16928,plain,
( xor(cin,xor(t3,t7)) != xor(b,carry)
| xor(cin,xor(t3,t7)) != xor(t2,t6)
| xor(b,carry) = xor(t2,t6) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t3,t7)),xor(t2,t6)) ),[0],$fot(xor(b,carry))]]) ).
cnf(refute_0_16929,plain,
( xor(cin,xor(t3,t7)) != xor(t2,t6)
| xor(b,carry) = xor(t2,t6) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t3,t7)),xor(b,carry)) )],[refute_0_16927,refute_0_16928]) ).
cnf(refute_0_16930,plain,
xor(b,carry) = xor(t2,t6),
inference(resolve,[$cnf( $equal(xor(cin,xor(t3,t7)),xor(t2,t6)) )],[refute_0_16906,refute_0_16929]) ).
cnf(refute_0_16931,plain,
( xor(b,carry) != xor(t2,t6)
| xor(t2,t6) = xor(b,carry) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(b,carry))),bind(Y0,$fot(xor(t2,t6)))]]) ).
cnf(refute_0_16932,plain,
xor(t2,t6) = xor(b,carry),
inference(resolve,[$cnf( $equal(xor(b,carry),xor(t2,t6)) )],[refute_0_16930,refute_0_16931]) ).
cnf(refute_0_16933,plain,
( xor(t2,t6) != xor(b,carry)
| xor(t2,xor(t6,Z)) != xor(xor(t2,t6),Z)
| xor(t2,xor(t6,Z)) = xor(xor(b,carry),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,xor(t6,Z)),xor(xor(t2,t6),Z)) ),[1,0],$fot(xor(b,carry))]]) ).
cnf(refute_0_16934,plain,
( xor(t2,xor(t6,Z)) != xor(xor(t2,t6),Z)
| xor(t2,xor(t6,Z)) = xor(xor(b,carry),Z) ),
inference(resolve,[$cnf( $equal(xor(t2,t6),xor(b,carry)) )],[refute_0_16932,refute_0_16933]) ).
cnf(refute_0_16935,plain,
xor(t2,xor(t6,Z)) = xor(xor(b,carry),Z),
inference(resolve,[$cnf( $equal(xor(t2,xor(t6,Z)),xor(xor(t2,t6),Z)) )],[refute_0_16865,refute_0_16934]) ).
cnf(refute_0_16936,plain,
xor(xor(b,carry),Z) = xor(b,xor(carry,Z)),
inference(subst,[],[refute_0_526:[bind(X,$fot(b)),bind(Y,$fot(carry))]]) ).
cnf(refute_0_16937,plain,
( xor(t2,xor(t6,Z)) != xor(xor(b,carry),Z)
| xor(xor(b,carry),Z) != xor(b,xor(carry,Z))
| xor(t2,xor(t6,Z)) = xor(b,xor(carry,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(t2,xor(t6,Z)),xor(b,xor(carry,Z))) ),[0],$fot(xor(xor(b,carry),Z))]]) ).
cnf(refute_0_16938,plain,
( xor(t2,xor(t6,Z)) != xor(xor(b,carry),Z)
| xor(t2,xor(t6,Z)) = xor(b,xor(carry,Z)) ),
inference(resolve,[$cnf( $equal(xor(xor(b,carry),Z),xor(b,xor(carry,Z))) )],[refute_0_16936,refute_0_16937]) ).
cnf(refute_0_16939,plain,
xor(t2,xor(t6,Z)) = xor(b,xor(carry,Z)),
inference(resolve,[$cnf( $equal(xor(t2,xor(t6,Z)),xor(xor(b,carry),Z)) )],[refute_0_16935,refute_0_16938]) ).
cnf(refute_0_16940,plain,
( xor(a,xor(carry,xor(t4,Z))) != xor(t2,xor(t6,Z))
| xor(t2,xor(t6,Z)) != xor(b,xor(carry,Z))
| xor(a,xor(carry,xor(t4,Z))) = xor(b,xor(carry,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(a,xor(carry,xor(t4,Z))),xor(b,xor(carry,Z))) ),[0],$fot(xor(t2,xor(t6,Z)))]]) ).
cnf(refute_0_16941,plain,
( xor(a,xor(carry,xor(t4,Z))) != xor(t2,xor(t6,Z))
| xor(a,xor(carry,xor(t4,Z))) = xor(b,xor(carry,Z)) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t6,Z)),xor(b,xor(carry,Z))) )],[refute_0_16939,refute_0_16940]) ).
cnf(refute_0_16942,plain,
xor(a,xor(carry,xor(t4,Z))) = xor(b,xor(carry,Z)),
inference(resolve,[$cnf( $equal(xor(a,xor(carry,xor(t4,Z))),xor(t2,xor(t6,Z))) )],[refute_0_16864,refute_0_16941]) ).
cnf(refute_0_16943,plain,
xor(a,xor(carry,xor(t4,or(t1,t7)))) = xor(b,xor(carry,or(t1,t7))),
inference(subst,[],[refute_0_16942:[bind(Z,$fot(or(t1,t7)))]]) ).
cnf(refute_0_16944,plain,
( xor(a,xor(carry,xor(t4,or(t1,t7)))) != xor(b,xor(carry,or(t1,t7)))
| xor(a,xor(carry,xor(t4,or(t1,t7)))) != xor(t2,and(sum,or(a,b)))
| xor(b,xor(carry,or(t1,t7))) = xor(t2,and(sum,or(a,b))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(carry,xor(t4,or(t1,t7)))),xor(t2,and(sum,or(a,b)))) ),[0],$fot(xor(b,xor(carry,or(t1,t7))))]]) ).
cnf(refute_0_16945,plain,
( xor(a,xor(carry,xor(t4,or(t1,t7)))) != xor(t2,and(sum,or(a,b)))
| xor(b,xor(carry,or(t1,t7))) = xor(t2,and(sum,or(a,b))) ),
inference(resolve,[$cnf( $equal(xor(a,xor(carry,xor(t4,or(t1,t7)))),xor(b,xor(carry,or(t1,t7)))) )],[refute_0_16943,refute_0_16944]) ).
cnf(refute_0_16946,plain,
xor(b,xor(carry,or(t1,t7))) = xor(t2,and(sum,or(a,b))),
inference(resolve,[$cnf( $equal(xor(a,xor(carry,xor(t4,or(t1,t7)))),xor(t2,and(sum,or(a,b)))) )],[refute_0_16826,refute_0_16945]) ).
cnf(refute_0_16947,plain,
( xor(b,xor(carry,or(t1,t7))) != xor(t2,and(sum,or(a,b)))
| xor(t2,and(sum,or(a,b))) = xor(b,xor(carry,or(t1,t7))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(b,xor(carry,or(t1,t7))))),bind(Y0,$fot(xor(t2,and(sum,or(a,b)))))]]) ).
cnf(refute_0_16948,plain,
xor(t2,and(sum,or(a,b))) = xor(b,xor(carry,or(t1,t7))),
inference(resolve,[$cnf( $equal(xor(b,xor(carry,or(t1,t7))),xor(t2,and(sum,or(a,b)))) )],[refute_0_16946,refute_0_16947]) ).
cnf(refute_0_16949,plain,
( xor(t2,and(sum,or(a,b))) != xor(b,xor(carry,or(t1,t7)))
| xor(t3,and(carry_def,cin)) != xor(t2,and(sum,or(a,b)))
| xor(t3,and(carry_def,cin)) = xor(b,xor(carry,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,and(carry_def,cin)),xor(t2,and(sum,or(a,b)))) ),[1],$fot(xor(b,xor(carry,or(t1,t7))))]]) ).
cnf(refute_0_16950,plain,
( xor(t3,and(carry_def,cin)) != xor(t2,and(sum,or(a,b)))
| xor(t3,and(carry_def,cin)) = xor(b,xor(carry,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(xor(t2,and(sum,or(a,b))),xor(b,xor(carry,or(t1,t7)))) )],[refute_0_16948,refute_0_16949]) ).
cnf(refute_0_16951,plain,
( xor(a,xor(a,xor(t3,and(carry_def,cin)))) != xor(t2,and(sum,or(a,b)))
| xor(t3,and(carry_def,cin)) = xor(b,xor(carry,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(xor(t3,and(carry_def,cin)),xor(t2,and(sum,or(a,b)))) )],[refute_0_16823,refute_0_16950]) ).
cnf(refute_0_16952,plain,
xor(t3,and(carry_def,cin)) = xor(b,xor(carry,or(t1,t7))),
inference(resolve,[$cnf( $equal(xor(a,xor(a,xor(t3,and(carry_def,cin)))),xor(t2,and(sum,or(a,b)))) )],[refute_0_16820,refute_0_16951]) ).
cnf(refute_0_16953,plain,
( xor(t3,and(carry_def,cin)) != xor(b,xor(carry,or(t1,t7)))
| xor(b,xor(carry,or(t1,t7))) = xor(t3,and(carry_def,cin)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t3,and(carry_def,cin)))),bind(Y0,$fot(xor(b,xor(carry,or(t1,t7)))))]]) ).
cnf(refute_0_16954,plain,
xor(b,xor(carry,or(t1,t7))) = xor(t3,and(carry_def,cin)),
inference(resolve,[$cnf( $equal(xor(t3,and(carry_def,cin)),xor(b,xor(carry,or(t1,t7)))) )],[refute_0_16952,refute_0_16953]) ).
cnf(refute_0_16955,plain,
( xor(b,xor(b,xor(carry,or(t1,t7)))) != xor(carry,or(t1,t7))
| xor(b,xor(carry,or(t1,t7))) != xor(t3,and(carry_def,cin))
| xor(b,xor(t3,and(carry_def,cin))) = xor(carry,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,xor(b,xor(carry,or(t1,t7)))),xor(carry,or(t1,t7))) ),[0,1],$fot(xor(t3,and(carry_def,cin)))]]) ).
cnf(refute_0_16956,plain,
( xor(b,xor(b,xor(carry,or(t1,t7)))) != xor(carry,or(t1,t7))
| xor(b,xor(t3,and(carry_def,cin))) = xor(carry,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(xor(b,xor(carry,or(t1,t7))),xor(t3,and(carry_def,cin))) )],[refute_0_16954,refute_0_16955]) ).
cnf(refute_0_16957,plain,
xor(b,xor(t3,and(carry_def,cin))) = xor(carry,or(t1,t7)),
inference(resolve,[$cnf( $equal(xor(b,xor(b,xor(carry,or(t1,t7)))),xor(carry,or(t1,t7))) )],[refute_0_16690,refute_0_16956]) ).
cnf(refute_0_16958,plain,
xor(b,xor(t3,Z)) = xor(xor(b,t3),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(b)),bind(Y,$fot(t3))]]) ).
cnf(refute_0_16959,plain,
( xor(b,t3) != t1
| xor(b,xor(t3,Z)) != xor(xor(b,t3),Z)
| xor(b,xor(t3,Z)) = xor(t1,Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,xor(t3,Z)),xor(xor(b,t3),Z)) ),[1,0],$fot(t1)]]) ).
cnf(refute_0_16960,plain,
( xor(b,xor(t3,Z)) != xor(xor(b,t3),Z)
| xor(b,xor(t3,Z)) = xor(t1,Z) ),
inference(resolve,[$cnf( $equal(xor(b,t3),t1) )],[refute_0_13640,refute_0_16959]) ).
cnf(refute_0_16961,plain,
xor(b,xor(t3,Z)) = xor(t1,Z),
inference(resolve,[$cnf( $equal(xor(b,xor(t3,Z)),xor(xor(b,t3),Z)) )],[refute_0_16958,refute_0_16960]) ).
cnf(refute_0_16962,plain,
xor(b,xor(t3,and(carry_def,cin))) = xor(t1,and(carry_def,cin)),
inference(subst,[],[refute_0_16961:[bind(Z,$fot(and(carry_def,cin)))]]) ).
cnf(refute_0_16963,plain,
( xor(b,xor(t3,and(carry_def,cin))) != xor(carry,or(t1,t7))
| xor(b,xor(t3,and(carry_def,cin))) != xor(t1,and(carry_def,cin))
| xor(t1,and(carry_def,cin)) = xor(carry,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,xor(t3,and(carry_def,cin))),xor(carry,or(t1,t7))) ),[0],$fot(xor(t1,and(carry_def,cin)))]]) ).
cnf(refute_0_16964,plain,
( xor(b,xor(t3,and(carry_def,cin))) != xor(carry,or(t1,t7))
| xor(t1,and(carry_def,cin)) = xor(carry,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(xor(b,xor(t3,and(carry_def,cin))),xor(t1,and(carry_def,cin))) )],[refute_0_16962,refute_0_16963]) ).
cnf(refute_0_16965,plain,
xor(t1,and(carry_def,cin)) = xor(carry,or(t1,t7)),
inference(resolve,[$cnf( $equal(xor(b,xor(t3,and(carry_def,cin))),xor(carry,or(t1,t7))) )],[refute_0_16957,refute_0_16964]) ).
cnf(refute_0_16966,plain,
( not(and(carry,or(t1,not(and(carry_def,cin))))) != xor(t1,and(carry_def,cin))
| xor(t1,and(carry_def,cin)) != xor(carry,or(t1,t7))
| not(and(carry,or(t1,not(and(carry_def,cin))))) = xor(carry,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(carry,or(t1,not(and(carry_def,cin))))),xor(carry,or(t1,t7))) ),[0],$fot(xor(t1,and(carry_def,cin)))]]) ).
cnf(refute_0_16967,plain,
( not(and(carry,or(t1,not(and(carry_def,cin))))) != xor(t1,and(carry_def,cin))
| not(and(carry,or(t1,not(and(carry_def,cin))))) = xor(carry,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(xor(t1,and(carry_def,cin)),xor(carry,or(t1,t7))) )],[refute_0_16965,refute_0_16966]) ).
cnf(refute_0_16968,plain,
not(and(carry,or(t1,not(and(carry_def,cin))))) = xor(carry,or(t1,t7)),
inference(resolve,[$cnf( $equal(not(and(carry,or(t1,not(and(carry_def,cin))))),xor(t1,and(carry_def,cin))) )],[refute_0_16689,refute_0_16967]) ).
cnf(refute_0_16969,plain,
xor(sum,xor(t6,or(carry,cin))) = xor(t7,or(carry,cin)),
inference(subst,[],[refute_0_5410:[bind(Z,$fot(or(carry,cin)))]]) ).
cnf(refute_0_16970,plain,
xor(cin,xor(t1,and(sum,or(a,b)))) = xor(carry,xor(t7,and(sum,or(a,b)))),
inference(subst,[],[refute_0_15479:[bind(Z,$fot(and(sum,or(a,b))))]]) ).
cnf(refute_0_16971,plain,
( xor(cin,xor(t1,and(sum,or(a,b)))) != xor(carry,xor(t7,and(sum,or(a,b))))
| xor(t1,and(sum,or(a,b))) != xor(a,xor(t3,and(carry_def,cin)))
| xor(cin,xor(a,xor(t3,and(carry_def,cin)))) = xor(carry,xor(t7,and(sum,or(a,b)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t1,and(sum,or(a,b)))),xor(carry,xor(t7,and(sum,or(a,b))))) ),[0,1],$fot(xor(a,xor(t3,and(carry_def,cin))))]]) ).
cnf(refute_0_16972,plain,
( xor(cin,xor(t1,and(sum,or(a,b)))) != xor(carry,xor(t7,and(sum,or(a,b))))
| xor(cin,xor(a,xor(t3,and(carry_def,cin)))) = xor(carry,xor(t7,and(sum,or(a,b)))) ),
inference(resolve,[$cnf( $equal(xor(t1,and(sum,or(a,b))),xor(a,xor(t3,and(carry_def,cin)))) )],[refute_0_16817,refute_0_16971]) ).
cnf(refute_0_16973,plain,
xor(cin,xor(a,xor(t3,and(carry_def,cin)))) = xor(carry,xor(t7,and(sum,or(a,b)))),
inference(resolve,[$cnf( $equal(xor(cin,xor(t1,and(sum,or(a,b)))),xor(carry,xor(t7,and(sum,or(a,b))))) )],[refute_0_16970,refute_0_16972]) ).
cnf(refute_0_16974,plain,
xor(or(carry,cin),t6) = xor(sum,xor(t7,or(carry,cin))),
inference(subst,[],[refute_0_5995:[bind(X_385,$fot(or(carry,cin)))]]) ).
cnf(refute_0_16975,plain,
( xor(or(carry,cin),t6) != xor(sum,xor(t7,or(carry,cin)))
| xor(t7,or(carry,cin)) != xor(t1,and(carry_def,cin))
| xor(or(carry,cin),t6) = xor(sum,xor(t1,and(carry_def,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(or(carry,cin),t6),xor(sum,xor(t7,or(carry,cin)))) ),[1,1],$fot(xor(t1,and(carry_def,cin)))]]) ).
cnf(refute_0_16976,plain,
( xor(or(carry,cin),t6) != xor(sum,xor(t7,or(carry,cin)))
| xor(or(carry,cin),t6) = xor(sum,xor(t1,and(carry_def,cin))) ),
inference(resolve,[$cnf( $equal(xor(t7,or(carry,cin)),xor(t1,and(carry_def,cin))) )],[refute_0_15536,refute_0_16975]) ).
cnf(refute_0_16977,plain,
xor(or(carry,cin),t6) = xor(sum,xor(t1,and(carry_def,cin))),
inference(resolve,[$cnf( $equal(xor(or(carry,cin),t6),xor(sum,xor(t7,or(carry,cin)))) )],[refute_0_16974,refute_0_16976]) ).
cnf(refute_0_16978,plain,
( xor(Z,or(carry,cin)) != xor(or(carry,cin),Z)
| xor(or(carry,cin),Z) = xor(Z,or(carry,cin)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(Z,or(carry,cin)))),bind(Y0,$fot(xor(or(carry,cin),Z)))]]) ).
cnf(refute_0_16979,plain,
xor(or(carry,cin),Z) = xor(Z,or(carry,cin)),
inference(resolve,[$cnf( $equal(xor(Z,or(carry,cin)),xor(or(carry,cin),Z)) )],[refute_0_15678,refute_0_16978]) ).
cnf(refute_0_16980,plain,
xor(or(carry,cin),t6) = xor(t6,or(carry,cin)),
inference(subst,[],[refute_0_16979:[bind(Z,$fot(t6))]]) ).
cnf(refute_0_16981,plain,
( xor(or(carry,cin),t6) != xor(sum,xor(t1,and(carry_def,cin)))
| xor(or(carry,cin),t6) != xor(t6,or(carry,cin))
| xor(t6,or(carry,cin)) = xor(sum,xor(t1,and(carry_def,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(or(carry,cin),t6),xor(sum,xor(t1,and(carry_def,cin)))) ),[0],$fot(xor(t6,or(carry,cin)))]]) ).
cnf(refute_0_16982,plain,
( xor(or(carry,cin),t6) != xor(sum,xor(t1,and(carry_def,cin)))
| xor(t6,or(carry,cin)) = xor(sum,xor(t1,and(carry_def,cin))) ),
inference(resolve,[$cnf( $equal(xor(or(carry,cin),t6),xor(t6,or(carry,cin))) )],[refute_0_16980,refute_0_16981]) ).
cnf(refute_0_16983,plain,
xor(t6,or(carry,cin)) = xor(sum,xor(t1,and(carry_def,cin))),
inference(resolve,[$cnf( $equal(xor(or(carry,cin),t6),xor(sum,xor(t1,and(carry_def,cin)))) )],[refute_0_16977,refute_0_16982]) ).
cnf(refute_0_16984,plain,
( xor(t6,or(carry,cin)) != xor(sum,xor(t1,and(carry_def,cin)))
| xor(sum,xor(t1,and(carry_def,cin))) = xor(t6,or(carry,cin)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t6,or(carry,cin)))),bind(Y0,$fot(xor(sum,xor(t1,and(carry_def,cin)))))]]) ).
cnf(refute_0_16985,plain,
xor(sum,xor(t1,and(carry_def,cin))) = xor(t6,or(carry,cin)),
inference(resolve,[$cnf( $equal(xor(t6,or(carry,cin)),xor(sum,xor(t1,and(carry_def,cin)))) )],[refute_0_16983,refute_0_16984]) ).
cnf(refute_0_16986,plain,
xor(a,xor(xor(cin,t3),Z)) = xor(xor(a,xor(cin,t3)),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(a)),bind(Y,$fot(xor(cin,t3)))]]) ).
cnf(refute_0_16987,plain,
xor(t1,xor(t5,xor(X_359,t5))) = xor(carry,xor(X_359,t5)),
inference(subst,[],[refute_0_1349:[bind(X_335,$fot(xor(X_359,t5)))]]) ).
cnf(refute_0_16988,plain,
X_359 = xor(t5,xor(X_359,t5)),
inference(subst,[],[refute_0_9360:[bind(X_358,$fot(X_359))]]) ).
cnf(refute_0_16989,plain,
( X_359 != xor(t5,xor(X_359,t5))
| xor(t5,xor(X_359,t5)) = X_359 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_359)),bind(Y0,$fot(xor(t5,xor(X_359,t5))))]]) ).
cnf(refute_0_16990,plain,
xor(t5,xor(X_359,t5)) = X_359,
inference(resolve,[$cnf( $equal(X_359,xor(t5,xor(X_359,t5))) )],[refute_0_16988,refute_0_16989]) ).
cnf(refute_0_16991,plain,
( xor(t1,xor(t5,xor(X_359,t5))) != xor(carry,xor(X_359,t5))
| xor(t5,xor(X_359,t5)) != X_359
| xor(t1,X_359) = xor(carry,xor(X_359,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,xor(t5,xor(X_359,t5))),xor(carry,xor(X_359,t5))) ),[0,1],$fot(X_359)]]) ).
cnf(refute_0_16992,plain,
( xor(t1,xor(t5,xor(X_359,t5))) != xor(carry,xor(X_359,t5))
| xor(t1,X_359) = xor(carry,xor(X_359,t5)) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(X_359,t5)),X_359) )],[refute_0_16990,refute_0_16991]) ).
cnf(refute_0_16993,plain,
xor(t1,X_359) = xor(carry,xor(X_359,t5)),
inference(resolve,[$cnf( $equal(xor(t1,xor(t5,xor(X_359,t5))),xor(carry,xor(X_359,t5))) )],[refute_0_16987,refute_0_16992]) ).
cnf(refute_0_16994,plain,
xor(t1,sum) = xor(carry,xor(sum,t5)),
inference(subst,[],[refute_0_16993:[bind(X_359,$fot(sum))]]) ).
cnf(refute_0_16995,plain,
( xor(sum,t5) != xor(cin,t6)
| xor(t1,sum) != xor(carry,xor(sum,t5))
| xor(t1,sum) = xor(carry,xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,sum),xor(carry,xor(sum,t5))) ),[1,1],$fot(xor(cin,t6))]]) ).
cnf(refute_0_16996,plain,
( xor(t1,sum) != xor(carry,xor(sum,t5))
| xor(t1,sum) = xor(carry,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(xor(sum,t5),xor(cin,t6)) )],[refute_0_5357,refute_0_16995]) ).
cnf(refute_0_16997,plain,
xor(t1,sum) = xor(carry,xor(cin,t6)),
inference(resolve,[$cnf( $equal(xor(t1,sum),xor(carry,xor(sum,t5))) )],[refute_0_16994,refute_0_16996]) ).
cnf(refute_0_16998,plain,
xor(t1,sum) = xor(sum,t1),
inference(subst,[],[refute_0_5981:[bind(X_333,$fot(t1))]]) ).
cnf(refute_0_16999,plain,
( xor(t1,sum) != xor(carry,xor(cin,t6))
| xor(t1,sum) != xor(sum,t1)
| xor(sum,t1) = xor(carry,xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,sum),xor(carry,xor(cin,t6))) ),[0],$fot(xor(sum,t1))]]) ).
cnf(refute_0_17000,plain,
( xor(t1,sum) != xor(carry,xor(cin,t6))
| xor(sum,t1) = xor(carry,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(xor(t1,sum),xor(sum,t1)) )],[refute_0_16998,refute_0_16999]) ).
cnf(refute_0_17001,plain,
xor(a,xor(t3,cin)) = xor(a,xor(cin,t3)),
inference(subst,[],[refute_0_2105:[bind(X_333,$fot(a)),bind(X_334,$fot(t3)),bind(X_335,$fot(cin))]]) ).
cnf(refute_0_17002,plain,
xor(t1,xor(t5,xor(X_366,t6))) = xor(carry,xor(X_366,t6)),
inference(subst,[],[refute_0_1349:[bind(X_335,$fot(xor(X_366,t6)))]]) ).
cnf(refute_0_17003,plain,
( xor(t1,xor(t5,xor(X_366,t6))) != xor(carry,xor(X_366,t6))
| xor(t5,xor(X_366,t6)) != xor(t4,X_366)
| xor(t1,xor(t4,X_366)) = xor(carry,xor(X_366,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,xor(t5,xor(X_366,t6))),xor(carry,xor(X_366,t6))) ),[0,1],$fot(xor(t4,X_366))]]) ).
cnf(refute_0_17004,plain,
( xor(t1,xor(t5,xor(X_366,t6))) != xor(carry,xor(X_366,t6))
| xor(t1,xor(t4,X_366)) = xor(carry,xor(X_366,t6)) ),
inference(resolve,[$cnf( $equal(xor(t5,xor(X_366,t6)),xor(t4,X_366)) )],[refute_0_13518,refute_0_17003]) ).
cnf(refute_0_17005,plain,
xor(t1,xor(t4,X_366)) = xor(carry,xor(X_366,t6)),
inference(resolve,[$cnf( $equal(xor(t1,xor(t5,xor(X_366,t6))),xor(carry,xor(X_366,t6))) )],[refute_0_17002,refute_0_17004]) ).
cnf(refute_0_17006,plain,
xor(t1,xor(t4,X_366)) = xor(a,xor(t3,X_366)),
inference(subst,[],[refute_0_16788:[bind(Z,$fot(X_366))]]) ).
cnf(refute_0_17007,plain,
( xor(t1,xor(t4,X_366)) != xor(a,xor(t3,X_366))
| xor(t1,xor(t4,X_366)) != xor(carry,xor(X_366,t6))
| xor(a,xor(t3,X_366)) = xor(carry,xor(X_366,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,xor(t4,X_366)),xor(carry,xor(X_366,t6))) ),[0],$fot(xor(a,xor(t3,X_366)))]]) ).
cnf(refute_0_17008,plain,
( xor(t1,xor(t4,X_366)) != xor(carry,xor(X_366,t6))
| xor(a,xor(t3,X_366)) = xor(carry,xor(X_366,t6)) ),
inference(resolve,[$cnf( $equal(xor(t1,xor(t4,X_366)),xor(a,xor(t3,X_366))) )],[refute_0_17006,refute_0_17007]) ).
cnf(refute_0_17009,plain,
xor(a,xor(t3,X_366)) = xor(carry,xor(X_366,t6)),
inference(resolve,[$cnf( $equal(xor(t1,xor(t4,X_366)),xor(carry,xor(X_366,t6))) )],[refute_0_17005,refute_0_17008]) ).
cnf(refute_0_17010,plain,
( xor(a,xor(t3,X_366)) != xor(carry,xor(X_366,t6))
| xor(carry,xor(X_366,t6)) = xor(a,xor(t3,X_366)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(a,xor(t3,X_366)))),bind(Y0,$fot(xor(carry,xor(X_366,t6))))]]) ).
cnf(refute_0_17011,plain,
xor(carry,xor(X_366,t6)) = xor(a,xor(t3,X_366)),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,X_366)),xor(carry,xor(X_366,t6))) )],[refute_0_17009,refute_0_17010]) ).
cnf(refute_0_17012,plain,
xor(carry,xor(cin,t6)) = xor(a,xor(t3,cin)),
inference(subst,[],[refute_0_17011:[bind(X_366,$fot(cin))]]) ).
cnf(refute_0_17013,plain,
( xor(a,xor(t3,cin)) != xor(a,xor(cin,t3))
| xor(carry,xor(cin,t6)) != xor(a,xor(t3,cin))
| xor(carry,xor(cin,t6)) = xor(a,xor(cin,t3)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(carry,xor(cin,t6)))),bind(Y0,$fot(xor(a,xor(t3,cin)))),bind(Z0,$fot(xor(a,xor(cin,t3))))]]) ).
cnf(refute_0_17014,plain,
( xor(a,xor(t3,cin)) != xor(a,xor(cin,t3))
| xor(carry,xor(cin,t6)) = xor(a,xor(cin,t3)) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(cin,t6)),xor(a,xor(t3,cin))) )],[refute_0_17012,refute_0_17013]) ).
cnf(refute_0_17015,plain,
xor(carry,xor(cin,t6)) = xor(a,xor(cin,t3)),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,cin)),xor(a,xor(cin,t3))) )],[refute_0_17001,refute_0_17014]) ).
cnf(refute_0_17016,plain,
( xor(carry,xor(cin,t6)) != xor(a,xor(cin,t3))
| xor(sum,t1) != xor(carry,xor(cin,t6))
| xor(sum,t1) = xor(a,xor(cin,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,t1),xor(carry,xor(cin,t6))) ),[1],$fot(xor(a,xor(cin,t3)))]]) ).
cnf(refute_0_17017,plain,
( xor(sum,t1) != xor(carry,xor(cin,t6))
| xor(sum,t1) = xor(a,xor(cin,t3)) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(cin,t6)),xor(a,xor(cin,t3))) )],[refute_0_17015,refute_0_17016]) ).
cnf(refute_0_17018,plain,
( xor(t1,sum) != xor(carry,xor(cin,t6))
| xor(sum,t1) = xor(a,xor(cin,t3)) ),
inference(resolve,[$cnf( $equal(xor(sum,t1),xor(carry,xor(cin,t6))) )],[refute_0_17000,refute_0_17017]) ).
cnf(refute_0_17019,plain,
xor(sum,t1) = xor(a,xor(cin,t3)),
inference(resolve,[$cnf( $equal(xor(t1,sum),xor(carry,xor(cin,t6))) )],[refute_0_16997,refute_0_17018]) ).
cnf(refute_0_17020,plain,
( xor(sum,t1) != xor(a,xor(cin,t3))
| xor(a,xor(cin,t3)) = xor(sum,t1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(sum,t1))),bind(Y0,$fot(xor(a,xor(cin,t3))))]]) ).
cnf(refute_0_17021,plain,
xor(a,xor(cin,t3)) = xor(sum,t1),
inference(resolve,[$cnf( $equal(xor(sum,t1),xor(a,xor(cin,t3))) )],[refute_0_17019,refute_0_17020]) ).
cnf(refute_0_17022,plain,
( xor(a,xor(cin,t3)) != xor(sum,t1)
| xor(a,xor(xor(cin,t3),Z)) != xor(xor(a,xor(cin,t3)),Z)
| xor(a,xor(xor(cin,t3),Z)) = xor(xor(sum,t1),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(xor(cin,t3),Z)),xor(xor(a,xor(cin,t3)),Z)) ),[1,0],$fot(xor(sum,t1))]]) ).
cnf(refute_0_17023,plain,
( xor(a,xor(xor(cin,t3),Z)) != xor(xor(a,xor(cin,t3)),Z)
| xor(a,xor(xor(cin,t3),Z)) = xor(xor(sum,t1),Z) ),
inference(resolve,[$cnf( $equal(xor(a,xor(cin,t3)),xor(sum,t1)) )],[refute_0_17021,refute_0_17022]) ).
cnf(refute_0_17024,plain,
xor(a,xor(xor(cin,t3),Z)) = xor(xor(sum,t1),Z),
inference(resolve,[$cnf( $equal(xor(a,xor(xor(cin,t3),Z)),xor(xor(a,xor(cin,t3)),Z)) )],[refute_0_16986,refute_0_17023]) ).
cnf(refute_0_17025,plain,
xor(xor(cin,t3),Z) = xor(cin,xor(t3,Z)),
inference(subst,[],[refute_0_526:[bind(X,$fot(cin)),bind(Y,$fot(t3))]]) ).
cnf(refute_0_17026,plain,
xor(a,xor(xor(cin,t3),Z)) = xor(a,xor(xor(cin,t3),Z)),
introduced(tautology,[refl,[$fot(xor(a,xor(xor(cin,t3),Z)))]]) ).
cnf(refute_0_17027,plain,
( xor(a,xor(xor(cin,t3),Z)) != xor(a,xor(xor(cin,t3),Z))
| xor(xor(cin,t3),Z) != xor(cin,xor(t3,Z))
| xor(a,xor(xor(cin,t3),Z)) = xor(a,xor(cin,xor(t3,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(xor(cin,t3),Z)),xor(a,xor(xor(cin,t3),Z))) ),[1,1],$fot(xor(cin,xor(t3,Z)))]]) ).
cnf(refute_0_17028,plain,
( xor(xor(cin,t3),Z) != xor(cin,xor(t3,Z))
| xor(a,xor(xor(cin,t3),Z)) = xor(a,xor(cin,xor(t3,Z))) ),
inference(resolve,[$cnf( $equal(xor(a,xor(xor(cin,t3),Z)),xor(a,xor(xor(cin,t3),Z))) )],[refute_0_17026,refute_0_17027]) ).
cnf(refute_0_17029,plain,
xor(a,xor(xor(cin,t3),Z)) = xor(a,xor(cin,xor(t3,Z))),
inference(resolve,[$cnf( $equal(xor(xor(cin,t3),Z),xor(cin,xor(t3,Z))) )],[refute_0_17025,refute_0_17028]) ).
cnf(refute_0_17030,plain,
( xor(a,xor(xor(cin,t3),Z)) != xor(a,xor(cin,xor(t3,Z)))
| xor(a,xor(xor(cin,t3),Z)) != xor(xor(sum,t1),Z)
| xor(a,xor(cin,xor(t3,Z))) = xor(xor(sum,t1),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(xor(cin,t3),Z)),xor(xor(sum,t1),Z)) ),[0],$fot(xor(a,xor(cin,xor(t3,Z))))]]) ).
cnf(refute_0_17031,plain,
( xor(a,xor(xor(cin,t3),Z)) != xor(xor(sum,t1),Z)
| xor(a,xor(cin,xor(t3,Z))) = xor(xor(sum,t1),Z) ),
inference(resolve,[$cnf( $equal(xor(a,xor(xor(cin,t3),Z)),xor(a,xor(cin,xor(t3,Z)))) )],[refute_0_17029,refute_0_17030]) ).
cnf(refute_0_17032,plain,
xor(xor(sum,t1),Z) = xor(sum,xor(t1,Z)),
inference(subst,[],[refute_0_526:[bind(X,$fot(sum)),bind(Y,$fot(t1))]]) ).
cnf(refute_0_17033,plain,
( xor(a,xor(cin,xor(t3,Z))) != xor(xor(sum,t1),Z)
| xor(xor(sum,t1),Z) != xor(sum,xor(t1,Z))
| xor(a,xor(cin,xor(t3,Z))) = xor(sum,xor(t1,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(a,xor(cin,xor(t3,Z))),xor(sum,xor(t1,Z))) ),[0],$fot(xor(xor(sum,t1),Z))]]) ).
cnf(refute_0_17034,plain,
( xor(a,xor(cin,xor(t3,Z))) != xor(xor(sum,t1),Z)
| xor(a,xor(cin,xor(t3,Z))) = xor(sum,xor(t1,Z)) ),
inference(resolve,[$cnf( $equal(xor(xor(sum,t1),Z),xor(sum,xor(t1,Z))) )],[refute_0_17032,refute_0_17033]) ).
cnf(refute_0_17035,plain,
( xor(a,xor(xor(cin,t3),Z)) != xor(xor(sum,t1),Z)
| xor(a,xor(cin,xor(t3,Z))) = xor(sum,xor(t1,Z)) ),
inference(resolve,[$cnf( $equal(xor(a,xor(cin,xor(t3,Z))),xor(xor(sum,t1),Z)) )],[refute_0_17031,refute_0_17034]) ).
cnf(refute_0_17036,plain,
xor(a,xor(cin,xor(t3,Z))) = xor(sum,xor(t1,Z)),
inference(resolve,[$cnf( $equal(xor(a,xor(xor(cin,t3),Z)),xor(xor(sum,t1),Z)) )],[refute_0_17024,refute_0_17035]) ).
cnf(refute_0_17037,plain,
xor(a,xor(cin,xor(t3,and(carry_def,cin)))) = xor(sum,xor(t1,and(carry_def,cin))),
inference(subst,[],[refute_0_17036:[bind(Z,$fot(and(carry_def,cin)))]]) ).
cnf(refute_0_17038,plain,
( xor(a,xor(cin,xor(t3,and(carry_def,cin)))) != xor(sum,xor(t1,and(carry_def,cin)))
| xor(sum,xor(t1,and(carry_def,cin))) != xor(t6,or(carry,cin))
| xor(a,xor(cin,xor(t3,and(carry_def,cin)))) = xor(t6,or(carry,cin)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(a,xor(cin,xor(t3,and(carry_def,cin)))))),bind(Y0,$fot(xor(sum,xor(t1,and(carry_def,cin))))),bind(Z0,$fot(xor(t6,or(carry,cin))))]]) ).
cnf(refute_0_17039,plain,
( xor(sum,xor(t1,and(carry_def,cin))) != xor(t6,or(carry,cin))
| xor(a,xor(cin,xor(t3,and(carry_def,cin)))) = xor(t6,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(xor(a,xor(cin,xor(t3,and(carry_def,cin)))),xor(sum,xor(t1,and(carry_def,cin)))) )],[refute_0_17037,refute_0_17038]) ).
cnf(refute_0_17040,plain,
xor(a,xor(cin,xor(t3,and(carry_def,cin)))) = xor(t6,or(carry,cin)),
inference(resolve,[$cnf( $equal(xor(sum,xor(t1,and(carry_def,cin))),xor(t6,or(carry,cin))) )],[refute_0_16985,refute_0_17039]) ).
cnf(refute_0_17041,plain,
xor(cin,xor(a,xor(t3,and(carry_def,cin)))) = xor(a,xor(cin,xor(t3,and(carry_def,cin)))),
inference(subst,[],[refute_0_14837:[bind(Z,$fot(xor(t3,and(carry_def,cin)))),bind(X_357,$fot(cin))]]) ).
cnf(refute_0_17042,plain,
( xor(a,xor(cin,xor(t3,and(carry_def,cin)))) != xor(t6,or(carry,cin))
| xor(cin,xor(a,xor(t3,and(carry_def,cin)))) != xor(a,xor(cin,xor(t3,and(carry_def,cin))))
| xor(cin,xor(a,xor(t3,and(carry_def,cin)))) = xor(t6,or(carry,cin)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(cin,xor(a,xor(t3,and(carry_def,cin)))))),bind(Y0,$fot(xor(a,xor(cin,xor(t3,and(carry_def,cin)))))),bind(Z0,$fot(xor(t6,or(carry,cin))))]]) ).
cnf(refute_0_17043,plain,
( xor(a,xor(cin,xor(t3,and(carry_def,cin)))) != xor(t6,or(carry,cin))
| xor(cin,xor(a,xor(t3,and(carry_def,cin)))) = xor(t6,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(a,xor(t3,and(carry_def,cin)))),xor(a,xor(cin,xor(t3,and(carry_def,cin))))) )],[refute_0_17041,refute_0_17042]) ).
cnf(refute_0_17044,plain,
xor(cin,xor(a,xor(t3,and(carry_def,cin)))) = xor(t6,or(carry,cin)),
inference(resolve,[$cnf( $equal(xor(a,xor(cin,xor(t3,and(carry_def,cin)))),xor(t6,or(carry,cin))) )],[refute_0_17040,refute_0_17043]) ).
cnf(refute_0_17045,plain,
( xor(cin,xor(a,xor(t3,and(carry_def,cin)))) != xor(carry,xor(t7,and(sum,or(a,b))))
| xor(cin,xor(a,xor(t3,and(carry_def,cin)))) != xor(t6,or(carry,cin))
| xor(t6,or(carry,cin)) = xor(carry,xor(t7,and(sum,or(a,b)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(a,xor(t3,and(carry_def,cin)))),xor(carry,xor(t7,and(sum,or(a,b))))) ),[0],$fot(xor(t6,or(carry,cin)))]]) ).
cnf(refute_0_17046,plain,
( xor(cin,xor(a,xor(t3,and(carry_def,cin)))) != xor(carry,xor(t7,and(sum,or(a,b))))
| xor(t6,or(carry,cin)) = xor(carry,xor(t7,and(sum,or(a,b)))) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(a,xor(t3,and(carry_def,cin)))),xor(t6,or(carry,cin))) )],[refute_0_17044,refute_0_17045]) ).
cnf(refute_0_17047,plain,
or(and(carry,not(and(sum,t1))),and(not(carry),and(sum,t1))) = xor(carry,and(sum,t1)),
inference(subst,[],[refute_0_9:[bind(X,$fot(carry)),bind(Y,$fot(and(sum,t1)))]]) ).
cnf(refute_0_17048,plain,
not(or(and(sum,t1),not(carry))) = not(or(not(carry),and(sum,t1))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(not(carry))),bind(X_26,$fot(and(sum,t1)))]]) ).
cnf(refute_0_17049,plain,
or(not(carry),and(not(carry),or(sum,t4))) = not(carry),
inference(subst,[],[or_absorption:[bind(X,$fot(not(carry))),bind(Y,$fot(or(sum,t4)))]]) ).
cnf(refute_0_17050,plain,
( and(not(carry),or(sum,t4)) != and(sum,t1)
| or(not(carry),and(not(carry),or(sum,t4))) != not(carry)
| or(not(carry),and(sum,t1)) = not(carry) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(carry),and(not(carry),or(sum,t4))),not(carry)) ),[0,1],$fot(and(sum,t1))]]) ).
cnf(refute_0_17051,plain,
( or(not(carry),and(not(carry),or(sum,t4))) != not(carry)
| or(not(carry),and(sum,t1)) = not(carry) ),
inference(resolve,[$cnf( $equal(and(not(carry),or(sum,t4)),and(sum,t1)) )],[refute_0_13122,refute_0_17050]) ).
cnf(refute_0_17052,plain,
or(not(carry),and(sum,t1)) = not(carry),
inference(resolve,[$cnf( $equal(or(not(carry),and(not(carry),or(sum,t4))),not(carry)) )],[refute_0_17049,refute_0_17051]) ).
cnf(refute_0_17053,plain,
( not(or(and(sum,t1),not(carry))) != not(or(not(carry),and(sum,t1)))
| or(not(carry),and(sum,t1)) != not(carry)
| not(or(and(sum,t1),not(carry))) = not(not(carry)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(and(sum,t1),not(carry))),not(or(not(carry),and(sum,t1)))) ),[1,0],$fot(not(carry))]]) ).
cnf(refute_0_17054,plain,
( not(or(and(sum,t1),not(carry))) != not(or(not(carry),and(sum,t1)))
| not(or(and(sum,t1),not(carry))) = not(not(carry)) ),
inference(resolve,[$cnf( $equal(or(not(carry),and(sum,t1)),not(carry)) )],[refute_0_17052,refute_0_17053]) ).
cnf(refute_0_17055,plain,
not(or(and(sum,t1),not(carry))) = not(not(carry)),
inference(resolve,[$cnf( $equal(not(or(and(sum,t1),not(carry))),not(or(not(carry),and(sum,t1)))) )],[refute_0_17048,refute_0_17054]) ).
cnf(refute_0_17056,plain,
and(not(and(sum,t1)),carry) = and(carry,not(and(sum,t1))),
inference(subst,[],[refute_0_116:[bind(X,$fot(carry)),bind(Y,$fot(not(and(sum,t1))))]]) ).
cnf(refute_0_17057,plain,
not(or(and(sum,t1),not(carry))) = and(not(and(sum,t1)),carry),
inference(subst,[],[refute_0_801:[bind(X,$fot(carry)),bind(X_25,$fot(and(sum,t1)))]]) ).
cnf(refute_0_17058,plain,
( and(not(and(sum,t1)),carry) != and(carry,not(and(sum,t1)))
| not(or(and(sum,t1),not(carry))) != and(not(and(sum,t1)),carry)
| not(or(and(sum,t1),not(carry))) = and(carry,not(and(sum,t1))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(and(sum,t1),not(carry))))),bind(Y0,$fot(and(not(and(sum,t1)),carry))),bind(Z0,$fot(and(carry,not(and(sum,t1)))))]]) ).
cnf(refute_0_17059,plain,
( and(not(and(sum,t1)),carry) != and(carry,not(and(sum,t1)))
| not(or(and(sum,t1),not(carry))) = and(carry,not(and(sum,t1))) ),
inference(resolve,[$cnf( $equal(not(or(and(sum,t1),not(carry))),and(not(and(sum,t1)),carry)) )],[refute_0_17057,refute_0_17058]) ).
cnf(refute_0_17060,plain,
not(or(and(sum,t1),not(carry))) = and(carry,not(and(sum,t1))),
inference(resolve,[$cnf( $equal(and(not(and(sum,t1)),carry),and(carry,not(and(sum,t1)))) )],[refute_0_17056,refute_0_17059]) ).
cnf(refute_0_17061,plain,
( not(or(and(sum,t1),not(carry))) != and(carry,not(and(sum,t1)))
| not(or(and(sum,t1),not(carry))) != not(not(carry))
| and(carry,not(and(sum,t1))) = not(not(carry)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(and(sum,t1),not(carry))),not(not(carry))) ),[0],$fot(and(carry,not(and(sum,t1))))]]) ).
cnf(refute_0_17062,plain,
( not(or(and(sum,t1),not(carry))) != not(not(carry))
| and(carry,not(and(sum,t1))) = not(not(carry)) ),
inference(resolve,[$cnf( $equal(not(or(and(sum,t1),not(carry))),and(carry,not(and(sum,t1)))) )],[refute_0_17060,refute_0_17061]) ).
cnf(refute_0_17063,plain,
( and(carry,not(and(sum,t1))) != not(not(carry))
| not(not(carry)) != carry
| and(carry,not(and(sum,t1))) = carry ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(carry,not(and(sum,t1))),carry) ),[0],$fot(not(not(carry)))]]) ).
cnf(refute_0_17064,plain,
( and(carry,not(and(sum,t1))) != not(not(carry))
| and(carry,not(and(sum,t1))) = carry ),
inference(resolve,[$cnf( $equal(not(not(carry)),carry) )],[refute_0_1308,refute_0_17063]) ).
cnf(refute_0_17065,plain,
( not(or(and(sum,t1),not(carry))) != not(not(carry))
| and(carry,not(and(sum,t1))) = carry ),
inference(resolve,[$cnf( $equal(and(carry,not(and(sum,t1))),not(not(carry))) )],[refute_0_17062,refute_0_17064]) ).
cnf(refute_0_17066,plain,
and(carry,not(and(sum,t1))) = carry,
inference(resolve,[$cnf( $equal(not(or(and(sum,t1),not(carry))),not(not(carry))) )],[refute_0_17055,refute_0_17065]) ).
cnf(refute_0_17067,plain,
( and(carry,not(and(sum,t1))) != carry
| or(and(carry,not(and(sum,t1))),and(not(carry),and(sum,t1))) != xor(carry,and(sum,t1))
| or(carry,and(not(carry),and(sum,t1))) = xor(carry,and(sum,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(carry,not(and(sum,t1))),and(not(carry),and(sum,t1))),xor(carry,and(sum,t1))) ),[0,0],$fot(carry)]]) ).
cnf(refute_0_17068,plain,
( or(and(carry,not(and(sum,t1))),and(not(carry),and(sum,t1))) != xor(carry,and(sum,t1))
| or(carry,and(not(carry),and(sum,t1))) = xor(carry,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(and(carry,not(and(sum,t1))),carry) )],[refute_0_17066,refute_0_17067]) ).
cnf(refute_0_17069,plain,
or(carry,and(not(carry),and(sum,t1))) = xor(carry,and(sum,t1)),
inference(resolve,[$cnf( $equal(or(and(carry,not(and(sum,t1))),and(not(carry),and(sum,t1))),xor(carry,and(sum,t1))) )],[refute_0_17047,refute_0_17068]) ).
cnf(refute_0_17070,plain,
and(sum,and(t1,not(carry))) = and(sum,and(t1,not(carry))),
introduced(tautology,[refl,[$fot(and(sum,and(t1,not(carry))))]]) ).
cnf(refute_0_17071,plain,
( and(sum,and(t1,not(carry))) != and(sum,and(t1,not(carry)))
| and(t1,not(carry)) != not(carry)
| and(sum,and(t1,not(carry))) = and(sum,not(carry)) ),
introduced(tautology,[equality,[$cnf( $equal(and(sum,and(t1,not(carry))),and(sum,and(t1,not(carry)))) ),[1,1],$fot(not(carry))]]) ).
cnf(refute_0_17072,plain,
( and(t1,not(carry)) != not(carry)
| and(sum,and(t1,not(carry))) = and(sum,not(carry)) ),
inference(resolve,[$cnf( $equal(and(sum,and(t1,not(carry))),and(sum,and(t1,not(carry)))) )],[refute_0_17070,refute_0_17071]) ).
cnf(refute_0_17073,plain,
and(sum,and(t1,not(carry))) = and(sum,not(carry)),
inference(resolve,[$cnf( $equal(and(t1,not(carry)),not(carry)) )],[refute_0_4998,refute_0_17072]) ).
cnf(refute_0_17074,plain,
( and(sum,and(t1,not(carry))) != and(sum,not(carry))
| and(sum,not(carry)) != and(sum,t1)
| and(sum,and(t1,not(carry))) = and(sum,t1) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(sum,and(t1,not(carry))))),bind(Y0,$fot(and(sum,not(carry)))),bind(Z0,$fot(and(sum,t1)))]]) ).
cnf(refute_0_17075,plain,
( and(sum,not(carry)) != and(sum,t1)
| and(sum,and(t1,not(carry))) = and(sum,t1) ),
inference(resolve,[$cnf( $equal(and(sum,and(t1,not(carry))),and(sum,not(carry))) )],[refute_0_17073,refute_0_17074]) ).
cnf(refute_0_17076,plain,
and(sum,and(t1,not(carry))) = and(sum,t1),
inference(resolve,[$cnf( $equal(and(sum,not(carry)),and(sum,t1)) )],[refute_0_7970,refute_0_17075]) ).
cnf(refute_0_17077,plain,
and(sum,and(not(carry),t1)) = and(sum,and(t1,not(carry))),
inference(subst,[],[refute_0_2637:[bind(X_220,$fot(sum)),bind(X_221,$fot(t1)),bind(X_222,$fot(not(carry)))]]) ).
cnf(refute_0_17078,plain,
and(not(carry),and(sum,t1)) = and(sum,and(not(carry),t1)),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(carry))),bind(X_221,$fot(sum)),bind(X_222,$fot(t1))]]) ).
cnf(refute_0_17079,plain,
( and(not(carry),and(sum,t1)) != and(sum,and(not(carry),t1))
| and(sum,and(not(carry),t1)) != and(sum,and(t1,not(carry)))
| and(not(carry),and(sum,t1)) = and(sum,and(t1,not(carry))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(carry),and(sum,t1)))),bind(Y0,$fot(and(sum,and(not(carry),t1)))),bind(Z0,$fot(and(sum,and(t1,not(carry)))))]]) ).
cnf(refute_0_17080,plain,
( and(sum,and(not(carry),t1)) != and(sum,and(t1,not(carry)))
| and(not(carry),and(sum,t1)) = and(sum,and(t1,not(carry))) ),
inference(resolve,[$cnf( $equal(and(not(carry),and(sum,t1)),and(sum,and(not(carry),t1))) )],[refute_0_17078,refute_0_17079]) ).
cnf(refute_0_17081,plain,
and(not(carry),and(sum,t1)) = and(sum,and(t1,not(carry))),
inference(resolve,[$cnf( $equal(and(sum,and(not(carry),t1)),and(sum,and(t1,not(carry)))) )],[refute_0_17077,refute_0_17080]) ).
cnf(refute_0_17082,plain,
( and(not(carry),and(sum,t1)) != and(sum,and(t1,not(carry)))
| and(sum,and(t1,not(carry))) != and(sum,t1)
| and(not(carry),and(sum,t1)) = and(sum,t1) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(carry),and(sum,t1)))),bind(Y0,$fot(and(sum,and(t1,not(carry))))),bind(Z0,$fot(and(sum,t1)))]]) ).
cnf(refute_0_17083,plain,
( and(sum,and(t1,not(carry))) != and(sum,t1)
| and(not(carry),and(sum,t1)) = and(sum,t1) ),
inference(resolve,[$cnf( $equal(and(not(carry),and(sum,t1)),and(sum,and(t1,not(carry)))) )],[refute_0_17081,refute_0_17082]) ).
cnf(refute_0_17084,plain,
and(not(carry),and(sum,t1)) = and(sum,t1),
inference(resolve,[$cnf( $equal(and(sum,and(t1,not(carry))),and(sum,t1)) )],[refute_0_17076,refute_0_17083]) ).
cnf(refute_0_17085,plain,
or(carry,and(not(carry),and(sum,t1))) = or(carry,and(not(carry),and(sum,t1))),
introduced(tautology,[refl,[$fot(or(carry,and(not(carry),and(sum,t1))))]]) ).
cnf(refute_0_17086,plain,
( and(not(carry),and(sum,t1)) != and(sum,t1)
| or(carry,and(not(carry),and(sum,t1))) != or(carry,and(not(carry),and(sum,t1)))
| or(carry,and(not(carry),and(sum,t1))) = or(carry,and(sum,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,and(not(carry),and(sum,t1))),or(carry,and(not(carry),and(sum,t1)))) ),[1,1],$fot(and(sum,t1))]]) ).
cnf(refute_0_17087,plain,
( and(not(carry),and(sum,t1)) != and(sum,t1)
| or(carry,and(not(carry),and(sum,t1))) = or(carry,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(or(carry,and(not(carry),and(sum,t1))),or(carry,and(not(carry),and(sum,t1)))) )],[refute_0_17085,refute_0_17086]) ).
cnf(refute_0_17088,plain,
or(carry,and(not(carry),and(sum,t1))) = or(carry,and(sum,t1)),
inference(resolve,[$cnf( $equal(and(not(carry),and(sum,t1)),and(sum,t1)) )],[refute_0_17084,refute_0_17087]) ).
cnf(refute_0_17089,plain,
( or(carry,and(not(carry),and(sum,t1))) != or(carry,and(sum,t1))
| or(carry,and(not(carry),and(sum,t1))) != xor(carry,and(sum,t1))
| or(carry,and(sum,t1)) = xor(carry,and(sum,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,and(not(carry),and(sum,t1))),xor(carry,and(sum,t1))) ),[0],$fot(or(carry,and(sum,t1)))]]) ).
cnf(refute_0_17090,plain,
( or(carry,and(not(carry),and(sum,t1))) != xor(carry,and(sum,t1))
| or(carry,and(sum,t1)) = xor(carry,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(or(carry,and(not(carry),and(sum,t1))),or(carry,and(sum,t1))) )],[refute_0_17088,refute_0_17089]) ).
cnf(refute_0_17091,plain,
or(carry,and(sum,t1)) = xor(carry,and(sum,t1)),
inference(resolve,[$cnf( $equal(or(carry,and(not(carry),and(sum,t1))),xor(carry,and(sum,t1))) )],[refute_0_17069,refute_0_17090]) ).
cnf(refute_0_17092,plain,
or(carry,and(X_819,t1)) = and(or(carry,X_819),or(carry,t1)),
inference(subst,[],[and_distributive:[bind(X,$fot(carry)),bind(Y,$fot(X_819)),bind(Z,$fot(t1))]]) ).
cnf(refute_0_17093,plain,
ll1 = xor(or(carry,t1),not(or(carry,t1))),
inference(subst,[],[refute_0_473:[bind(X_64,$fot(or(carry,t1)))]]) ).
cnf(refute_0_17094,plain,
and(not(carry),not(t1)) = and(t1,and(t5,not(t1))),
inference(subst,[],[refute_0_178:[bind(X_222,$fot(not(t1)))]]) ).
cnf(refute_0_17095,plain,
and(not(t1),or(t5,not(t1))) = not(t1),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(not(t1))),bind(X_20,$fot(t5))]]) ).
cnf(refute_0_17096,plain,
( and(not(t1),or(t5,not(t1))) != not(t1)
| or(t5,not(t1)) != t5
| and(not(t1),t5) = not(t1) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t1),or(t5,not(t1))),not(t1)) ),[0,1],$fot(t5)]]) ).
cnf(refute_0_17097,plain,
( and(not(t1),or(t5,not(t1))) != not(t1)
| and(not(t1),t5) = not(t1) ),
inference(resolve,[$cnf( $equal(or(t5,not(t1)),t5) )],[refute_0_1297,refute_0_17096]) ).
cnf(refute_0_17098,plain,
and(not(t1),t5) = not(t1),
inference(resolve,[$cnf( $equal(and(not(t1),or(t5,not(t1))),not(t1)) )],[refute_0_17095,refute_0_17097]) ).
cnf(refute_0_17099,plain,
and(not(t1),t5) = and(t5,not(t1)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t5)),bind(Y,$fot(not(t1)))]]) ).
cnf(refute_0_17100,plain,
( and(not(t1),t5) != and(t5,not(t1))
| and(not(t1),t5) != not(t1)
| and(t5,not(t1)) = not(t1) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t1),t5),not(t1)) ),[0],$fot(and(t5,not(t1)))]]) ).
cnf(refute_0_17101,plain,
( and(not(t1),t5) != not(t1)
| and(t5,not(t1)) = not(t1) ),
inference(resolve,[$cnf( $equal(and(not(t1),t5),and(t5,not(t1))) )],[refute_0_17099,refute_0_17100]) ).
cnf(refute_0_17102,plain,
and(t5,not(t1)) = not(t1),
inference(resolve,[$cnf( $equal(and(not(t1),t5),not(t1)) )],[refute_0_17098,refute_0_17101]) ).
cnf(refute_0_17103,plain,
( and(not(carry),not(t1)) != and(t1,and(t5,not(t1)))
| and(t5,not(t1)) != not(t1)
| and(not(carry),not(t1)) = and(t1,not(t1)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),not(t1)),and(t1,and(t5,not(t1)))) ),[1,1],$fot(not(t1))]]) ).
cnf(refute_0_17104,plain,
( and(not(carry),not(t1)) != and(t1,and(t5,not(t1)))
| and(not(carry),not(t1)) = and(t1,not(t1)) ),
inference(resolve,[$cnf( $equal(and(t5,not(t1)),not(t1)) )],[refute_0_17102,refute_0_17103]) ).
cnf(refute_0_17105,plain,
and(not(carry),not(t1)) = and(t1,not(t1)),
inference(resolve,[$cnf( $equal(and(not(carry),not(t1)),and(t1,and(t5,not(t1)))) )],[refute_0_17094,refute_0_17104]) ).
cnf(refute_0_17106,plain,
and(not(carry),not(t1)) = not(or(carry,t1)),
inference(subst,[],[refute_0_101:[bind(X,$fot(carry)),bind(Y,$fot(t1))]]) ).
cnf(refute_0_17107,plain,
( and(not(carry),not(t1)) != and(t1,not(t1))
| and(not(carry),not(t1)) != not(or(carry,t1))
| not(or(carry,t1)) = and(t1,not(t1)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),not(t1)),and(t1,not(t1))) ),[0],$fot(not(or(carry,t1)))]]) ).
cnf(refute_0_17108,plain,
( and(not(carry),not(t1)) != and(t1,not(t1))
| not(or(carry,t1)) = and(t1,not(t1)) ),
inference(resolve,[$cnf( $equal(and(not(carry),not(t1)),not(or(carry,t1))) )],[refute_0_17106,refute_0_17107]) ).
cnf(refute_0_17109,plain,
( and(t1,not(t1)) != ll0
| not(or(carry,t1)) != and(t1,not(t1))
| not(or(carry,t1)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,t1)),and(t1,not(t1))) ),[1],$fot(ll0)]]) ).
cnf(refute_0_17110,plain,
( not(or(carry,t1)) != and(t1,not(t1))
| not(or(carry,t1)) = ll0 ),
inference(resolve,[$cnf( $equal(and(t1,not(t1)),ll0) )],[refute_0_1949,refute_0_17109]) ).
cnf(refute_0_17111,plain,
( and(not(carry),not(t1)) != and(t1,not(t1))
| not(or(carry,t1)) = ll0 ),
inference(resolve,[$cnf( $equal(not(or(carry,t1)),and(t1,not(t1))) )],[refute_0_17108,refute_0_17110]) ).
cnf(refute_0_17112,plain,
not(or(carry,t1)) = ll0,
inference(resolve,[$cnf( $equal(and(not(carry),not(t1)),and(t1,not(t1))) )],[refute_0_17105,refute_0_17111]) ).
cnf(refute_0_17113,plain,
( ll1 != xor(or(carry,t1),not(or(carry,t1)))
| not(or(carry,t1)) != ll0
| ll1 = xor(or(carry,t1),ll0) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,xor(or(carry,t1),not(or(carry,t1)))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_17114,plain,
( ll1 != xor(or(carry,t1),not(or(carry,t1)))
| ll1 = xor(or(carry,t1),ll0) ),
inference(resolve,[$cnf( $equal(not(or(carry,t1)),ll0) )],[refute_0_17112,refute_0_17113]) ).
cnf(refute_0_17115,plain,
ll1 = xor(or(carry,t1),ll0),
inference(resolve,[$cnf( $equal(ll1,xor(or(carry,t1),not(or(carry,t1)))) )],[refute_0_17093,refute_0_17114]) ).
cnf(refute_0_17116,plain,
xor(or(carry,t1),ll0) = or(carry,t1),
inference(subst,[],[refute_0_1378:[bind(X_63,$fot(or(carry,t1)))]]) ).
cnf(refute_0_17117,plain,
( ll1 != xor(or(carry,t1),ll0)
| xor(or(carry,t1),ll0) != or(carry,t1)
| ll1 = or(carry,t1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll1,or(carry,t1)) ),[0],$fot(xor(or(carry,t1),ll0))]]) ).
cnf(refute_0_17118,plain,
( ll1 != xor(or(carry,t1),ll0)
| ll1 = or(carry,t1) ),
inference(resolve,[$cnf( $equal(xor(or(carry,t1),ll0),or(carry,t1)) )],[refute_0_17116,refute_0_17117]) ).
cnf(refute_0_17119,plain,
ll1 = or(carry,t1),
inference(resolve,[$cnf( $equal(ll1,xor(or(carry,t1),ll0)) )],[refute_0_17115,refute_0_17118]) ).
cnf(refute_0_17120,plain,
( ll1 != or(carry,t1)
| or(carry,t1) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(carry,t1)))]]) ).
cnf(refute_0_17121,plain,
or(carry,t1) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(carry,t1)) )],[refute_0_17119,refute_0_17120]) ).
cnf(refute_0_17122,plain,
( or(carry,and(X_819,t1)) != and(or(carry,X_819),or(carry,t1))
| or(carry,t1) != ll1
| or(carry,and(X_819,t1)) = and(or(carry,X_819),ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,and(X_819,t1)),and(or(carry,X_819),or(carry,t1))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_17123,plain,
( or(carry,and(X_819,t1)) != and(or(carry,X_819),or(carry,t1))
| or(carry,and(X_819,t1)) = and(or(carry,X_819),ll1) ),
inference(resolve,[$cnf( $equal(or(carry,t1),ll1) )],[refute_0_17121,refute_0_17122]) ).
cnf(refute_0_17124,plain,
or(carry,and(X_819,t1)) = and(or(carry,X_819),ll1),
inference(resolve,[$cnf( $equal(or(carry,and(X_819,t1)),and(or(carry,X_819),or(carry,t1))) )],[refute_0_17092,refute_0_17123]) ).
cnf(refute_0_17125,plain,
and(ll1,or(carry,X_819)) = or(carry,X_819),
inference(subst,[],[refute_0_64:[bind(X,$fot(or(carry,X_819)))]]) ).
cnf(refute_0_17126,plain,
and(or(carry,X_819),ll1) = and(ll1,or(carry,X_819)),
inference(subst,[],[refute_0_4252:[bind(X_14,$fot(ll1)),bind(X_669,$fot(or(carry,X_819)))]]) ).
cnf(refute_0_17127,plain,
( and(ll1,or(carry,X_819)) != or(carry,X_819)
| and(or(carry,X_819),ll1) != and(ll1,or(carry,X_819))
| and(or(carry,X_819),ll1) = or(carry,X_819) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(or(carry,X_819),ll1))),bind(Y0,$fot(and(ll1,or(carry,X_819)))),bind(Z0,$fot(or(carry,X_819)))]]) ).
cnf(refute_0_17128,plain,
( and(ll1,or(carry,X_819)) != or(carry,X_819)
| and(or(carry,X_819),ll1) = or(carry,X_819) ),
inference(resolve,[$cnf( $equal(and(or(carry,X_819),ll1),and(ll1,or(carry,X_819))) )],[refute_0_17126,refute_0_17127]) ).
cnf(refute_0_17129,plain,
and(or(carry,X_819),ll1) = or(carry,X_819),
inference(resolve,[$cnf( $equal(and(ll1,or(carry,X_819)),or(carry,X_819)) )],[refute_0_17125,refute_0_17128]) ).
cnf(refute_0_17130,plain,
( and(or(carry,X_819),ll1) != or(carry,X_819)
| or(carry,and(X_819,t1)) != and(or(carry,X_819),ll1)
| or(carry,and(X_819,t1)) = or(carry,X_819) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,and(X_819,t1)),and(or(carry,X_819),ll1)) ),[1],$fot(or(carry,X_819))]]) ).
cnf(refute_0_17131,plain,
( or(carry,and(X_819,t1)) != and(or(carry,X_819),ll1)
| or(carry,and(X_819,t1)) = or(carry,X_819) ),
inference(resolve,[$cnf( $equal(and(or(carry,X_819),ll1),or(carry,X_819)) )],[refute_0_17129,refute_0_17130]) ).
cnf(refute_0_17132,plain,
or(carry,and(X_819,t1)) = or(carry,X_819),
inference(resolve,[$cnf( $equal(or(carry,and(X_819,t1)),and(or(carry,X_819),ll1)) )],[refute_0_17124,refute_0_17131]) ).
cnf(refute_0_17133,plain,
or(carry,and(sum,t1)) = or(carry,sum),
inference(subst,[],[refute_0_17132:[bind(X_819,$fot(sum))]]) ).
cnf(refute_0_17134,plain,
( or(carry,and(sum,t1)) != or(carry,sum)
| or(carry,and(sum,t1)) != xor(carry,and(sum,t1))
| or(carry,sum) = xor(carry,and(sum,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,and(sum,t1)),xor(carry,and(sum,t1))) ),[0],$fot(or(carry,sum))]]) ).
cnf(refute_0_17135,plain,
( or(carry,and(sum,t1)) != xor(carry,and(sum,t1))
| or(carry,sum) = xor(carry,and(sum,t1)) ),
inference(resolve,[$cnf( $equal(or(carry,and(sum,t1)),or(carry,sum)) )],[refute_0_17133,refute_0_17134]) ).
cnf(refute_0_17136,plain,
or(carry,sum) = xor(carry,and(sum,t1)),
inference(resolve,[$cnf( $equal(or(carry,and(sum,t1)),xor(carry,and(sum,t1))) )],[refute_0_17091,refute_0_17135]) ).
cnf(refute_0_17137,plain,
( or(carry,sum) != xor(carry,and(sum,t1))
| xor(carry,and(sum,t1)) = or(carry,sum) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(carry,sum))),bind(Y0,$fot(xor(carry,and(sum,t1))))]]) ).
cnf(refute_0_17138,plain,
xor(carry,and(sum,t1)) = or(carry,sum),
inference(resolve,[$cnf( $equal(or(carry,sum),xor(carry,and(sum,t1))) )],[refute_0_17136,refute_0_17137]) ).
cnf(refute_0_17139,plain,
not(xor(carry,and(sum,t1))) = not(xor(carry,and(sum,t1))),
introduced(tautology,[refl,[$fot(not(xor(carry,and(sum,t1))))]]) ).
cnf(refute_0_17140,plain,
( not(xor(carry,and(sum,t1))) != not(xor(carry,and(sum,t1)))
| xor(carry,and(sum,t1)) != or(carry,sum)
| not(xor(carry,and(sum,t1))) = not(or(carry,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(carry,and(sum,t1))),not(xor(carry,and(sum,t1)))) ),[1,0],$fot(or(carry,sum))]]) ).
cnf(refute_0_17141,plain,
( xor(carry,and(sum,t1)) != or(carry,sum)
| not(xor(carry,and(sum,t1))) = not(or(carry,sum)) ),
inference(resolve,[$cnf( $equal(not(xor(carry,and(sum,t1))),not(xor(carry,and(sum,t1)))) )],[refute_0_17139,refute_0_17140]) ).
cnf(refute_0_17142,plain,
not(xor(carry,and(sum,t1))) = not(or(carry,sum)),
inference(resolve,[$cnf( $equal(xor(carry,and(sum,t1)),or(carry,sum)) )],[refute_0_17138,refute_0_17141]) ).
cnf(refute_0_17143,plain,
xor(carry,not(and(sum,t1))) = not(xor(carry,and(sum,t1))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(carry)),bind(X_334,$fot(and(sum,t1)))]]) ).
cnf(refute_0_17144,plain,
( not(xor(carry,and(sum,t1))) != not(or(carry,sum))
| xor(carry,not(and(sum,t1))) != not(xor(carry,and(sum,t1)))
| xor(carry,not(and(sum,t1))) = not(or(carry,sum)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(carry,not(and(sum,t1))))),bind(Y0,$fot(not(xor(carry,and(sum,t1))))),bind(Z0,$fot(not(or(carry,sum))))]]) ).
cnf(refute_0_17145,plain,
( not(xor(carry,and(sum,t1))) != not(or(carry,sum))
| xor(carry,not(and(sum,t1))) = not(or(carry,sum)) ),
inference(resolve,[$cnf( $equal(xor(carry,not(and(sum,t1))),not(xor(carry,and(sum,t1)))) )],[refute_0_17143,refute_0_17144]) ).
cnf(refute_0_17146,plain,
xor(carry,not(and(sum,t1))) = not(or(carry,sum)),
inference(resolve,[$cnf( $equal(not(xor(carry,and(sum,t1))),not(or(carry,sum))) )],[refute_0_17142,refute_0_17145]) ).
cnf(refute_0_17147,plain,
xor(carry,xor(t7,and(sum,or(a,b)))) = xor(carry,xor(t7,and(sum,or(a,b)))),
introduced(tautology,[refl,[$fot(xor(carry,xor(t7,and(sum,or(a,b)))))]]) ).
cnf(refute_0_17148,plain,
( xor(carry,xor(t7,and(sum,or(a,b)))) != xor(carry,xor(t7,and(sum,or(a,b))))
| xor(t7,and(sum,or(a,b))) != not(and(sum,t1))
| xor(carry,xor(t7,and(sum,or(a,b)))) = xor(carry,not(and(sum,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(t7,and(sum,or(a,b)))),xor(carry,xor(t7,and(sum,or(a,b))))) ),[1,1],$fot(not(and(sum,t1)))]]) ).
cnf(refute_0_17149,plain,
( xor(t7,and(sum,or(a,b))) != not(and(sum,t1))
| xor(carry,xor(t7,and(sum,or(a,b)))) = xor(carry,not(and(sum,t1))) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(t7,and(sum,or(a,b)))),xor(carry,xor(t7,and(sum,or(a,b))))) )],[refute_0_17147,refute_0_17148]) ).
cnf(refute_0_17150,plain,
xor(carry,xor(t7,and(sum,or(a,b)))) = xor(carry,not(and(sum,t1))),
inference(resolve,[$cnf( $equal(xor(t7,and(sum,or(a,b))),not(and(sum,t1))) )],[refute_0_11196,refute_0_17149]) ).
cnf(refute_0_17151,plain,
( xor(carry,not(and(sum,t1))) != not(or(carry,sum))
| xor(carry,xor(t7,and(sum,or(a,b)))) != xor(carry,not(and(sum,t1)))
| xor(carry,xor(t7,and(sum,or(a,b)))) = not(or(carry,sum)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(carry,xor(t7,and(sum,or(a,b)))))),bind(Y0,$fot(xor(carry,not(and(sum,t1))))),bind(Z0,$fot(not(or(carry,sum))))]]) ).
cnf(refute_0_17152,plain,
( xor(carry,not(and(sum,t1))) != not(or(carry,sum))
| xor(carry,xor(t7,and(sum,or(a,b)))) = not(or(carry,sum)) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(t7,and(sum,or(a,b)))),xor(carry,not(and(sum,t1)))) )],[refute_0_17150,refute_0_17151]) ).
cnf(refute_0_17153,plain,
xor(carry,xor(t7,and(sum,or(a,b)))) = not(or(carry,sum)),
inference(resolve,[$cnf( $equal(xor(carry,not(and(sum,t1))),not(or(carry,sum))) )],[refute_0_17146,refute_0_17152]) ).
cnf(refute_0_17154,plain,
( xor(carry,xor(t7,and(sum,or(a,b)))) != not(or(carry,sum))
| xor(t6,or(carry,cin)) != xor(carry,xor(t7,and(sum,or(a,b))))
| xor(t6,or(carry,cin)) = not(or(carry,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,or(carry,cin)),xor(carry,xor(t7,and(sum,or(a,b))))) ),[1],$fot(not(or(carry,sum)))]]) ).
cnf(refute_0_17155,plain,
( xor(t6,or(carry,cin)) != xor(carry,xor(t7,and(sum,or(a,b))))
| xor(t6,or(carry,cin)) = not(or(carry,sum)) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(t7,and(sum,or(a,b)))),not(or(carry,sum))) )],[refute_0_17153,refute_0_17154]) ).
cnf(refute_0_17156,plain,
( xor(cin,xor(a,xor(t3,and(carry_def,cin)))) != xor(carry,xor(t7,and(sum,or(a,b))))
| xor(t6,or(carry,cin)) = not(or(carry,sum)) ),
inference(resolve,[$cnf( $equal(xor(t6,or(carry,cin)),xor(carry,xor(t7,and(sum,or(a,b))))) )],[refute_0_17046,refute_0_17155]) ).
cnf(refute_0_17157,plain,
xor(t6,or(carry,cin)) = not(or(carry,sum)),
inference(resolve,[$cnf( $equal(xor(cin,xor(a,xor(t3,and(carry_def,cin)))),xor(carry,xor(t7,and(sum,or(a,b))))) )],[refute_0_16973,refute_0_17156]) ).
cnf(refute_0_17158,plain,
( xor(sum,xor(t6,or(carry,cin))) != xor(t7,or(carry,cin))
| xor(t6,or(carry,cin)) != not(or(carry,sum))
| xor(sum,not(or(carry,sum))) = xor(t7,or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,xor(t6,or(carry,cin))),xor(t7,or(carry,cin))) ),[0,1],$fot(not(or(carry,sum)))]]) ).
cnf(refute_0_17159,plain,
( xor(sum,xor(t6,or(carry,cin))) != xor(t7,or(carry,cin))
| xor(sum,not(or(carry,sum))) = xor(t7,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(xor(t6,or(carry,cin)),not(or(carry,sum))) )],[refute_0_17157,refute_0_17158]) ).
cnf(refute_0_17160,plain,
xor(sum,not(or(carry,sum))) = xor(t7,or(carry,cin)),
inference(resolve,[$cnf( $equal(xor(sum,xor(t6,or(carry,cin))),xor(t7,or(carry,cin))) )],[refute_0_16969,refute_0_17159]) ).
cnf(refute_0_17161,plain,
xor(sum,not(or(carry,sum))) = not(xor(sum,or(carry,sum))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(sum)),bind(X_334,$fot(or(carry,sum)))]]) ).
cnf(refute_0_17162,plain,
( xor(sum,not(or(carry,sum))) != not(xor(sum,or(carry,sum)))
| xor(sum,not(or(carry,sum))) != xor(t7,or(carry,cin))
| not(xor(sum,or(carry,sum))) = xor(t7,or(carry,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,not(or(carry,sum))),xor(t7,or(carry,cin))) ),[0],$fot(not(xor(sum,or(carry,sum))))]]) ).
cnf(refute_0_17163,plain,
( xor(sum,not(or(carry,sum))) != xor(t7,or(carry,cin))
| not(xor(sum,or(carry,sum))) = xor(t7,or(carry,cin)) ),
inference(resolve,[$cnf( $equal(xor(sum,not(or(carry,sum))),not(xor(sum,or(carry,sum)))) )],[refute_0_17161,refute_0_17162]) ).
cnf(refute_0_17164,plain,
( not(xor(sum,or(carry,sum))) != xor(t7,or(carry,cin))
| xor(t7,or(carry,cin)) != xor(t1,and(carry_def,cin))
| not(xor(sum,or(carry,sum))) = xor(t1,and(carry_def,cin)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(sum,or(carry,sum))),xor(t1,and(carry_def,cin))) ),[0],$fot(xor(t7,or(carry,cin)))]]) ).
cnf(refute_0_17165,plain,
( not(xor(sum,or(carry,sum))) != xor(t7,or(carry,cin))
| not(xor(sum,or(carry,sum))) = xor(t1,and(carry_def,cin)) ),
inference(resolve,[$cnf( $equal(xor(t7,or(carry,cin)),xor(t1,and(carry_def,cin))) )],[refute_0_15536,refute_0_17164]) ).
cnf(refute_0_17166,plain,
( xor(sum,not(or(carry,sum))) != xor(t7,or(carry,cin))
| not(xor(sum,or(carry,sum))) = xor(t1,and(carry_def,cin)) ),
inference(resolve,[$cnf( $equal(not(xor(sum,or(carry,sum))),xor(t7,or(carry,cin))) )],[refute_0_17163,refute_0_17165]) ).
cnf(refute_0_17167,plain,
not(xor(sum,or(carry,sum))) = xor(t1,and(carry_def,cin)),
inference(resolve,[$cnf( $equal(xor(sum,not(or(carry,sum))),xor(t7,or(carry,cin))) )],[refute_0_17160,refute_0_17166]) ).
cnf(refute_0_17168,plain,
( not(xor(sum,or(carry,sum))) != xor(t1,and(carry_def,cin))
| xor(t1,and(carry_def,cin)) != xor(carry,or(t1,t7))
| not(xor(sum,or(carry,sum))) = xor(carry,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(sum,or(carry,sum))),xor(carry,or(t1,t7))) ),[0],$fot(xor(t1,and(carry_def,cin)))]]) ).
cnf(refute_0_17169,plain,
( not(xor(sum,or(carry,sum))) != xor(t1,and(carry_def,cin))
| not(xor(sum,or(carry,sum))) = xor(carry,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(xor(t1,and(carry_def,cin)),xor(carry,or(t1,t7))) )],[refute_0_16965,refute_0_17168]) ).
cnf(refute_0_17170,plain,
not(xor(sum,or(carry,sum))) = xor(carry,or(t1,t7)),
inference(resolve,[$cnf( $equal(not(xor(sum,or(carry,sum))),xor(t1,and(carry_def,cin))) )],[refute_0_17167,refute_0_17169]) ).
cnf(refute_0_17171,plain,
not(or(not(or(carry,sum)),sum)) = not(or(sum,not(or(carry,sum)))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(sum)),bind(X_26,$fot(not(or(carry,sum))))]]) ).
cnf(refute_0_17172,plain,
not(and(or(cin,xor(carry,t4)),not(sum))) = not(and(not(sum),or(cin,xor(carry,t4)))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(not(sum))),bind(X_32,$fot(or(cin,xor(carry,t4))))]]) ).
cnf(refute_0_17173,plain,
or(and(sum,not(or(cin,xor(carry,t4)))),and(not(sum),or(cin,xor(carry,t4)))) = xor(sum,or(cin,xor(carry,t4))),
inference(subst,[],[refute_0_9:[bind(X,$fot(sum)),bind(Y,$fot(or(cin,xor(carry,t4))))]]) ).
cnf(refute_0_17174,plain,
and(or(cin,not(and(sum,and(t1,t6)))),not(or(not(and(sum,and(t1,t6))),cin))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(not(and(sum,and(t1,t6))))),bind(X_28,$fot(cin))]]) ).
cnf(refute_0_17175,plain,
or(cin,not(and(and(sum,t1),or(cin,not(and(sum,t1)))))) = ll1,
inference(subst,[],[refute_0_7305:[bind(X_33,$fot(cin)),bind(X_34,$fot(and(sum,t1)))]]) ).
cnf(refute_0_17176,plain,
or(or(cin,xor(cin,t6)),Z) = or(cin,or(xor(cin,t6),Z)),
inference(subst,[],[or_associative:[bind(X,$fot(cin)),bind(Y,$fot(xor(cin,t6)))]]) ).
cnf(refute_0_17177,plain,
( or(cin,xor(cin,t6)) != t6
| or(or(cin,xor(cin,t6)),Z) != or(cin,or(xor(cin,t6),Z))
| or(t6,Z) = or(cin,or(xor(cin,t6),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(cin,xor(cin,t6)),Z),or(cin,or(xor(cin,t6),Z))) ),[0,0],$fot(t6)]]) ).
cnf(refute_0_17178,plain,
( or(or(cin,xor(cin,t6)),Z) != or(cin,or(xor(cin,t6),Z))
| or(t6,Z) = or(cin,or(xor(cin,t6),Z)) ),
inference(resolve,[$cnf( $equal(or(cin,xor(cin,t6)),t6) )],[refute_0_1473,refute_0_17177]) ).
cnf(refute_0_17179,plain,
or(t6,Z) = or(cin,or(xor(cin,t6),Z)),
inference(resolve,[$cnf( $equal(or(or(cin,xor(cin,t6)),Z),or(cin,or(xor(cin,t6),Z))) )],[refute_0_17176,refute_0_17178]) ).
cnf(refute_0_17180,plain,
or(t6,X_397) = or(cin,or(xor(cin,t6),X_397)),
inference(subst,[],[refute_0_17179:[bind(Z,$fot(X_397))]]) ).
cnf(refute_0_17181,plain,
or(X_397,xor(cin,t6)) = or(xor(cin,t6),X_397),
inference(subst,[],[or_commutative:[bind(X,$fot(X_397)),bind(Y,$fot(xor(cin,t6)))]]) ).
cnf(refute_0_17182,plain,
( or(X_397,xor(cin,t6)) != or(xor(cin,t6),X_397)
| or(xor(cin,t6),X_397) = or(X_397,xor(cin,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(X_397,xor(cin,t6)))),bind(Y0,$fot(or(xor(cin,t6),X_397)))]]) ).
cnf(refute_0_17183,plain,
or(xor(cin,t6),X_397) = or(X_397,xor(cin,t6)),
inference(resolve,[$cnf( $equal(or(X_397,xor(cin,t6)),or(xor(cin,t6),X_397)) )],[refute_0_17181,refute_0_17182]) ).
cnf(refute_0_17184,plain,
( or(t6,X_397) != or(cin,or(xor(cin,t6),X_397))
| or(xor(cin,t6),X_397) != or(X_397,xor(cin,t6))
| or(t6,X_397) = or(cin,or(X_397,xor(cin,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,X_397),or(cin,or(xor(cin,t6),X_397))) ),[1,1],$fot(or(X_397,xor(cin,t6)))]]) ).
cnf(refute_0_17185,plain,
( or(t6,X_397) != or(cin,or(xor(cin,t6),X_397))
| or(t6,X_397) = or(cin,or(X_397,xor(cin,t6))) ),
inference(resolve,[$cnf( $equal(or(xor(cin,t6),X_397),or(X_397,xor(cin,t6))) )],[refute_0_17183,refute_0_17184]) ).
cnf(refute_0_17186,plain,
or(t6,X_397) = or(cin,or(X_397,xor(cin,t6))),
inference(resolve,[$cnf( $equal(or(t6,X_397),or(cin,or(xor(cin,t6),X_397))) )],[refute_0_17180,refute_0_17185]) ).
cnf(refute_0_17187,plain,
or(t6,carry) = or(cin,or(carry,xor(cin,t6))),
inference(subst,[],[refute_0_17186:[bind(X_397,$fot(carry))]]) ).
cnf(refute_0_17188,plain,
( or(carry,xor(cin,t6)) != not(and(sum,t1))
| or(t6,carry) != or(cin,or(carry,xor(cin,t6)))
| or(t6,carry) = or(cin,not(and(sum,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,carry),or(cin,or(carry,xor(cin,t6)))) ),[1,1],$fot(not(and(sum,t1)))]]) ).
cnf(refute_0_17189,plain,
( or(t6,carry) != or(cin,or(carry,xor(cin,t6)))
| or(t6,carry) = or(cin,not(and(sum,t1))) ),
inference(resolve,[$cnf( $equal(or(carry,xor(cin,t6)),not(and(sum,t1))) )],[refute_0_11300,refute_0_17188]) ).
cnf(refute_0_17190,plain,
or(t6,carry) = or(cin,not(and(sum,t1))),
inference(resolve,[$cnf( $equal(or(t6,carry),or(cin,or(carry,xor(cin,t6)))) )],[refute_0_17187,refute_0_17189]) ).
cnf(refute_0_17191,plain,
or(t6,carry) = or(carry,t6),
inference(subst,[],[refute_0_5:[bind(X,$fot(carry)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_17192,plain,
( or(carry,t6) != t6
| or(t6,carry) != or(carry,t6)
| or(t6,carry) = t6 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t6,carry))),bind(Y0,$fot(or(carry,t6))),bind(Z0,$fot(t6))]]) ).
cnf(refute_0_17193,plain,
( or(carry,t6) != t6
| or(t6,carry) = t6 ),
inference(resolve,[$cnf( $equal(or(t6,carry),or(carry,t6)) )],[refute_0_17191,refute_0_17192]) ).
cnf(refute_0_17194,plain,
or(t6,carry) = t6,
inference(resolve,[$cnf( $equal(or(carry,t6),t6) )],[refute_0_10664,refute_0_17193]) ).
cnf(refute_0_17195,plain,
( or(t6,carry) != or(cin,not(and(sum,t1)))
| or(t6,carry) != t6
| t6 = or(cin,not(and(sum,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,carry),or(cin,not(and(sum,t1)))) ),[0],$fot(t6)]]) ).
cnf(refute_0_17196,plain,
( or(t6,carry) != or(cin,not(and(sum,t1)))
| t6 = or(cin,not(and(sum,t1))) ),
inference(resolve,[$cnf( $equal(or(t6,carry),t6) )],[refute_0_17194,refute_0_17195]) ).
cnf(refute_0_17197,plain,
t6 = or(cin,not(and(sum,t1))),
inference(resolve,[$cnf( $equal(or(t6,carry),or(cin,not(and(sum,t1)))) )],[refute_0_17190,refute_0_17196]) ).
cnf(refute_0_17198,plain,
( t6 != or(cin,not(and(sum,t1)))
| or(cin,not(and(sum,t1))) = t6 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(t6)),bind(Y0,$fot(or(cin,not(and(sum,t1)))))]]) ).
cnf(refute_0_17199,plain,
or(cin,not(and(sum,t1))) = t6,
inference(resolve,[$cnf( $equal(t6,or(cin,not(and(sum,t1)))) )],[refute_0_17197,refute_0_17198]) ).
cnf(refute_0_17200,plain,
( or(cin,not(and(and(sum,t1),or(cin,not(and(sum,t1)))))) != ll1
| or(cin,not(and(sum,t1))) != t6
| or(cin,not(and(and(sum,t1),t6))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,not(and(and(sum,t1),or(cin,not(and(sum,t1)))))),ll1) ),[0,1,0,1],$fot(t6)]]) ).
cnf(refute_0_17201,plain,
( or(cin,not(and(and(sum,t1),or(cin,not(and(sum,t1)))))) != ll1
| or(cin,not(and(and(sum,t1),t6))) = ll1 ),
inference(resolve,[$cnf( $equal(or(cin,not(and(sum,t1))),t6) )],[refute_0_17199,refute_0_17200]) ).
cnf(refute_0_17202,plain,
or(cin,not(and(and(sum,t1),t6))) = ll1,
inference(resolve,[$cnf( $equal(or(cin,not(and(and(sum,t1),or(cin,not(and(sum,t1)))))),ll1) )],[refute_0_17175,refute_0_17201]) ).
cnf(refute_0_17203,plain,
( not(and(X_32,and(X_220,X_221))) != not(and(X_220,and(X_221,X_32)))
| not(and(X_220,and(X_221,X_32))) = not(and(X_32,and(X_220,X_221))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(X_32,and(X_220,X_221))))),bind(Y0,$fot(not(and(X_220,and(X_221,X_32)))))]]) ).
cnf(refute_0_17204,plain,
not(and(X_220,and(X_221,X_32))) = not(and(X_32,and(X_220,X_221))),
inference(resolve,[$cnf( $equal(not(and(X_32,and(X_220,X_221))),not(and(X_220,and(X_221,X_32)))) )],[refute_0_10246,refute_0_17203]) ).
cnf(refute_0_17205,plain,
not(and(t1,and(t6,sum))) = not(and(sum,and(t1,t6))),
inference(subst,[],[refute_0_17204:[bind(X_220,$fot(t1)),bind(X_221,$fot(t6)),bind(X_32,$fot(sum))]]) ).
cnf(refute_0_17206,plain,
not(and(t6,and(sum,t1))) = not(and(t1,and(t6,sum))),
inference(subst,[],[refute_0_17204:[bind(X_220,$fot(t6)),bind(X_221,$fot(sum)),bind(X_32,$fot(t1))]]) ).
cnf(refute_0_17207,plain,
( not(and(t1,and(t6,sum))) != not(and(sum,and(t1,t6)))
| not(and(t6,and(sum,t1))) != not(and(t1,and(t6,sum)))
| not(and(t6,and(sum,t1))) = not(and(sum,and(t1,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(t6,and(sum,t1))))),bind(Y0,$fot(not(and(t1,and(t6,sum))))),bind(Z0,$fot(not(and(sum,and(t1,t6)))))]]) ).
cnf(refute_0_17208,plain,
( not(and(t1,and(t6,sum))) != not(and(sum,and(t1,t6)))
| not(and(t6,and(sum,t1))) = not(and(sum,and(t1,t6))) ),
inference(resolve,[$cnf( $equal(not(and(t6,and(sum,t1))),not(and(t1,and(t6,sum)))) )],[refute_0_17206,refute_0_17207]) ).
cnf(refute_0_17209,plain,
not(and(t6,and(sum,t1))) = not(and(sum,and(t1,t6))),
inference(resolve,[$cnf( $equal(not(and(t1,and(t6,sum))),not(and(sum,and(t1,t6)))) )],[refute_0_17205,refute_0_17208]) ).
cnf(refute_0_17210,plain,
or(cin,not(and(t6,and(sum,t1)))) = or(cin,not(and(t6,and(sum,t1)))),
introduced(tautology,[refl,[$fot(or(cin,not(and(t6,and(sum,t1)))))]]) ).
cnf(refute_0_17211,plain,
( not(and(t6,and(sum,t1))) != not(and(sum,and(t1,t6)))
| or(cin,not(and(t6,and(sum,t1)))) != or(cin,not(and(t6,and(sum,t1))))
| or(cin,not(and(t6,and(sum,t1)))) = or(cin,not(and(sum,and(t1,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,not(and(t6,and(sum,t1)))),or(cin,not(and(t6,and(sum,t1))))) ),[1,1],$fot(not(and(sum,and(t1,t6))))]]) ).
cnf(refute_0_17212,plain,
( not(and(t6,and(sum,t1))) != not(and(sum,and(t1,t6)))
| or(cin,not(and(t6,and(sum,t1)))) = or(cin,not(and(sum,and(t1,t6)))) ),
inference(resolve,[$cnf( $equal(or(cin,not(and(t6,and(sum,t1)))),or(cin,not(and(t6,and(sum,t1))))) )],[refute_0_17210,refute_0_17211]) ).
cnf(refute_0_17213,plain,
or(cin,not(and(t6,and(sum,t1)))) = or(cin,not(and(sum,and(t1,t6)))),
inference(resolve,[$cnf( $equal(not(and(t6,and(sum,t1))),not(and(sum,and(t1,t6)))) )],[refute_0_17209,refute_0_17212]) ).
cnf(refute_0_17214,plain,
not(and(not(X),and(X_206,X_205))) = or(X,not(and(X_206,X_205))),
inference(subst,[],[refute_0_787:[bind(X_32,$fot(and(X_206,X_205)))]]) ).
cnf(refute_0_17215,plain,
( not(and(X_206,X_205)) != not(and(X_205,X_206))
| not(and(not(X),and(X_206,X_205))) != or(X,not(and(X_206,X_205)))
| not(and(not(X),and(X_206,X_205))) = or(X,not(and(X_205,X_206))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(X),and(X_206,X_205))),or(X,not(and(X_206,X_205)))) ),[1,1],$fot(not(and(X_205,X_206)))]]) ).
cnf(refute_0_17216,plain,
( not(and(not(X),and(X_206,X_205))) != or(X,not(and(X_206,X_205)))
| not(and(not(X),and(X_206,X_205))) = or(X,not(and(X_205,X_206))) ),
inference(resolve,[$cnf( $equal(not(and(X_206,X_205)),not(and(X_205,X_206))) )],[refute_0_4066,refute_0_17215]) ).
cnf(refute_0_17217,plain,
not(and(not(X),and(X_206,X_205))) = or(X,not(and(X_205,X_206))),
inference(resolve,[$cnf( $equal(not(and(not(X),and(X_206,X_205))),or(X,not(and(X_206,X_205)))) )],[refute_0_17214,refute_0_17216]) ).
cnf(refute_0_17218,plain,
( not(and(not(X),and(X_206,X_205))) != or(X,not(and(X_205,X_206)))
| not(and(not(X),and(X_206,X_205))) != or(X,not(and(X_206,X_205)))
| or(X,not(and(X_206,X_205))) = or(X,not(and(X_205,X_206))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(X),and(X_206,X_205))),or(X,not(and(X_205,X_206)))) ),[0],$fot(or(X,not(and(X_206,X_205))))]]) ).
cnf(refute_0_17219,plain,
( not(and(not(X),and(X_206,X_205))) != or(X,not(and(X_205,X_206)))
| or(X,not(and(X_206,X_205))) = or(X,not(and(X_205,X_206))) ),
inference(resolve,[$cnf( $equal(not(and(not(X),and(X_206,X_205))),or(X,not(and(X_206,X_205)))) )],[refute_0_17214,refute_0_17218]) ).
cnf(refute_0_17220,plain,
or(X,not(and(X_206,X_205))) = or(X,not(and(X_205,X_206))),
inference(resolve,[$cnf( $equal(not(and(not(X),and(X_206,X_205))),or(X,not(and(X_205,X_206)))) )],[refute_0_17217,refute_0_17219]) ).
cnf(refute_0_17221,plain,
( or(X,not(and(X_206,X_205))) != or(X,not(and(X_205,X_206)))
| or(X,not(and(X_205,X_206))) = or(X,not(and(X_206,X_205))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(X,not(and(X_206,X_205))))),bind(Y0,$fot(or(X,not(and(X_205,X_206)))))]]) ).
cnf(refute_0_17222,plain,
or(X,not(and(X_205,X_206))) = or(X,not(and(X_206,X_205))),
inference(resolve,[$cnf( $equal(or(X,not(and(X_206,X_205))),or(X,not(and(X_205,X_206)))) )],[refute_0_17220,refute_0_17221]) ).
cnf(refute_0_17223,plain,
or(cin,not(and(and(sum,t1),t6))) = or(cin,not(and(t6,and(sum,t1)))),
inference(subst,[],[refute_0_17222:[bind(X,$fot(cin)),bind(X_205,$fot(and(sum,t1))),bind(X_206,$fot(t6))]]) ).
cnf(refute_0_17224,plain,
( or(cin,not(and(and(sum,t1),t6))) != or(cin,not(and(t6,and(sum,t1))))
| or(cin,not(and(t6,and(sum,t1)))) != or(cin,not(and(sum,and(t1,t6))))
| or(cin,not(and(and(sum,t1),t6))) = or(cin,not(and(sum,and(t1,t6)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(cin,not(and(and(sum,t1),t6))))),bind(Y0,$fot(or(cin,not(and(t6,and(sum,t1)))))),bind(Z0,$fot(or(cin,not(and(sum,and(t1,t6))))))]]) ).
cnf(refute_0_17225,plain,
( or(cin,not(and(t6,and(sum,t1)))) != or(cin,not(and(sum,and(t1,t6))))
| or(cin,not(and(and(sum,t1),t6))) = or(cin,not(and(sum,and(t1,t6)))) ),
inference(resolve,[$cnf( $equal(or(cin,not(and(and(sum,t1),t6))),or(cin,not(and(t6,and(sum,t1))))) )],[refute_0_17223,refute_0_17224]) ).
cnf(refute_0_17226,plain,
or(cin,not(and(and(sum,t1),t6))) = or(cin,not(and(sum,and(t1,t6)))),
inference(resolve,[$cnf( $equal(or(cin,not(and(t6,and(sum,t1)))),or(cin,not(and(sum,and(t1,t6))))) )],[refute_0_17213,refute_0_17225]) ).
cnf(refute_0_17227,plain,
( or(cin,not(and(and(sum,t1),t6))) != ll1
| or(cin,not(and(and(sum,t1),t6))) != or(cin,not(and(sum,and(t1,t6))))
| or(cin,not(and(sum,and(t1,t6)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,not(and(and(sum,t1),t6))),ll1) ),[0],$fot(or(cin,not(and(sum,and(t1,t6)))))]]) ).
cnf(refute_0_17228,plain,
( or(cin,not(and(and(sum,t1),t6))) != ll1
| or(cin,not(and(sum,and(t1,t6)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(cin,not(and(and(sum,t1),t6))),or(cin,not(and(sum,and(t1,t6))))) )],[refute_0_17226,refute_0_17227]) ).
cnf(refute_0_17229,plain,
or(cin,not(and(sum,and(t1,t6)))) = ll1,
inference(resolve,[$cnf( $equal(or(cin,not(and(and(sum,t1),t6))),ll1) )],[refute_0_17202,refute_0_17228]) ).
cnf(refute_0_17230,plain,
( and(or(cin,not(and(sum,and(t1,t6)))),not(or(not(and(sum,and(t1,t6))),cin))) != ll0
| or(cin,not(and(sum,and(t1,t6)))) != ll1
| and(ll1,not(or(not(and(sum,and(t1,t6))),cin))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(cin,not(and(sum,and(t1,t6)))),not(or(not(and(sum,and(t1,t6))),cin))),ll0) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_17231,plain,
( and(or(cin,not(and(sum,and(t1,t6)))),not(or(not(and(sum,and(t1,t6))),cin))) != ll0
| and(ll1,not(or(not(and(sum,and(t1,t6))),cin))) = ll0 ),
inference(resolve,[$cnf( $equal(or(cin,not(and(sum,and(t1,t6)))),ll1) )],[refute_0_17229,refute_0_17230]) ).
cnf(refute_0_17232,plain,
and(ll1,not(or(not(and(sum,and(t1,t6))),cin))) = ll0,
inference(resolve,[$cnf( $equal(and(or(cin,not(and(sum,and(t1,t6)))),not(or(not(and(sum,and(t1,t6))),cin))),ll0) )],[refute_0_17174,refute_0_17231]) ).
cnf(refute_0_17233,plain,
not(or(X,and(t5,or(a,b)))) = and(not(X),not(and(t5,or(a,b)))),
inference(subst,[],[or_demorgan:[bind(Y,$fot(and(t5,or(a,b))))]]) ).
cnf(refute_0_17234,plain,
or(and(carry,not(xor(carry,and(t1,t6)))),and(not(carry),xor(carry,and(t1,t6)))) = xor(carry,xor(carry,and(t1,t6))),
inference(subst,[],[refute_0_9:[bind(X,$fot(carry)),bind(Y,$fot(xor(carry,and(t1,t6))))]]) ).
cnf(refute_0_17235,plain,
and(not(carry),xor(carry,and(t1,t6))) = and(t1,and(t5,xor(carry,and(t1,t6)))),
inference(subst,[],[refute_0_178:[bind(X_222,$fot(xor(carry,and(t1,t6))))]]) ).
cnf(refute_0_17236,plain,
not(not(and(t5,xor(carry,and(t1,t6))))) = and(t5,xor(carry,and(t1,t6))),
inference(subst,[],[not_involution:[bind(X,$fot(and(t5,xor(carry,and(t1,t6)))))]]) ).
cnf(refute_0_17237,plain,
( not(and(t5,xor(carry,and(t1,t6)))) != t4
| not(not(and(t5,xor(carry,and(t1,t6))))) != and(t5,xor(carry,and(t1,t6)))
| not(t4) = and(t5,xor(carry,and(t1,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(t5,xor(carry,and(t1,t6))))),and(t5,xor(carry,and(t1,t6)))) ),[0,0],$fot(t4)]]) ).
cnf(refute_0_17238,plain,
( not(not(and(t5,xor(carry,and(t1,t6))))) != and(t5,xor(carry,and(t1,t6)))
| not(t4) = and(t5,xor(carry,and(t1,t6))) ),
inference(resolve,[$cnf( $equal(not(and(t5,xor(carry,and(t1,t6)))),t4) )],[refute_0_10880,refute_0_17237]) ).
cnf(refute_0_17239,plain,
not(t4) = and(t5,xor(carry,and(t1,t6))),
inference(resolve,[$cnf( $equal(not(not(and(t5,xor(carry,and(t1,t6))))),and(t5,xor(carry,and(t1,t6)))) )],[refute_0_17236,refute_0_17238]) ).
cnf(refute_0_17240,plain,
( not(t4) != and(t5,xor(carry,and(t1,t6)))
| and(t5,xor(carry,and(t1,t6))) = not(t4) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t4))),bind(Y0,$fot(and(t5,xor(carry,and(t1,t6)))))]]) ).
cnf(refute_0_17241,plain,
and(t5,xor(carry,and(t1,t6))) = not(t4),
inference(resolve,[$cnf( $equal(not(t4),and(t5,xor(carry,and(t1,t6)))) )],[refute_0_17239,refute_0_17240]) ).
cnf(refute_0_17242,plain,
( and(not(carry),xor(carry,and(t1,t6))) != and(t1,and(t5,xor(carry,and(t1,t6))))
| and(t5,xor(carry,and(t1,t6))) != not(t4)
| and(not(carry),xor(carry,and(t1,t6))) = and(t1,not(t4)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),xor(carry,and(t1,t6))),and(t1,and(t5,xor(carry,and(t1,t6))))) ),[1,1],$fot(not(t4))]]) ).
cnf(refute_0_17243,plain,
( and(not(carry),xor(carry,and(t1,t6))) != and(t1,and(t5,xor(carry,and(t1,t6))))
| and(not(carry),xor(carry,and(t1,t6))) = and(t1,not(t4)) ),
inference(resolve,[$cnf( $equal(and(t5,xor(carry,and(t1,t6))),not(t4)) )],[refute_0_17241,refute_0_17242]) ).
cnf(refute_0_17244,plain,
and(not(carry),xor(carry,and(t1,t6))) = and(t1,not(t4)),
inference(resolve,[$cnf( $equal(and(not(carry),xor(carry,and(t1,t6))),and(t1,and(t5,xor(carry,and(t1,t6))))) )],[refute_0_17235,refute_0_17243]) ).
cnf(refute_0_17245,plain,
( xor(carry,t6) != and(t1,not(t4))
| xor(carry,t6) != xor(b,t2)
| xor(b,t2) = and(t1,not(t4)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,t6),and(t1,not(t4))) ),[0],$fot(xor(b,t2))]]) ).
cnf(refute_0_17246,plain,
( xor(carry,t6) != and(t1,not(t4))
| xor(b,t2) = and(t1,not(t4)) ),
inference(resolve,[$cnf( $equal(xor(carry,t6),xor(b,t2)) )],[refute_0_2228,refute_0_17245]) ).
cnf(refute_0_17247,plain,
xor(b,t2) = and(t1,not(t4)),
inference(resolve,[$cnf( $equal(xor(carry,t6),and(t1,not(t4))) )],[refute_0_13878,refute_0_17246]) ).
cnf(refute_0_17248,plain,
( xor(b,t2) != and(t1,not(t4))
| xor(b,t2) != xor(a,t3)
| xor(a,t3) = and(t1,not(t4)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,t2),and(t1,not(t4))) ),[0],$fot(xor(a,t3))]]) ).
cnf(refute_0_17249,plain,
( xor(b,t2) != and(t1,not(t4))
| xor(a,t3) = and(t1,not(t4)) ),
inference(resolve,[$cnf( $equal(xor(b,t2),xor(a,t3)) )],[refute_0_4596,refute_0_17248]) ).
cnf(refute_0_17250,plain,
xor(a,t3) = and(t1,not(t4)),
inference(resolve,[$cnf( $equal(xor(b,t2),and(t1,not(t4))) )],[refute_0_17247,refute_0_17249]) ).
cnf(refute_0_17251,plain,
( xor(a,t3) != and(t1,not(t4))
| and(t1,not(t4)) = xor(a,t3) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(a,t3))),bind(Y0,$fot(and(t1,not(t4))))]]) ).
cnf(refute_0_17252,plain,
and(t1,not(t4)) = xor(a,t3),
inference(resolve,[$cnf( $equal(xor(a,t3),and(t1,not(t4))) )],[refute_0_17250,refute_0_17251]) ).
cnf(refute_0_17253,plain,
( and(not(carry),xor(carry,and(t1,t6))) != and(t1,not(t4))
| and(t1,not(t4)) != xor(a,t3)
| and(not(carry),xor(carry,and(t1,t6))) = xor(a,t3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(carry),xor(carry,and(t1,t6))),xor(a,t3)) ),[0],$fot(and(t1,not(t4)))]]) ).
cnf(refute_0_17254,plain,
( and(not(carry),xor(carry,and(t1,t6))) != and(t1,not(t4))
| and(not(carry),xor(carry,and(t1,t6))) = xor(a,t3) ),
inference(resolve,[$cnf( $equal(and(t1,not(t4)),xor(a,t3)) )],[refute_0_17252,refute_0_17253]) ).
cnf(refute_0_17255,plain,
and(not(carry),xor(carry,and(t1,t6))) = xor(a,t3),
inference(resolve,[$cnf( $equal(and(not(carry),xor(carry,and(t1,t6))),and(t1,not(t4))) )],[refute_0_17244,refute_0_17254]) ).
cnf(refute_0_17256,plain,
( and(not(carry),xor(carry,and(t1,t6))) != xor(a,t3)
| or(and(carry,not(xor(carry,and(t1,t6)))),and(not(carry),xor(carry,and(t1,t6)))) != xor(carry,xor(carry,and(t1,t6)))
| or(and(carry,not(xor(carry,and(t1,t6)))),xor(a,t3)) = xor(carry,xor(carry,and(t1,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(carry,not(xor(carry,and(t1,t6)))),and(not(carry),xor(carry,and(t1,t6)))),xor(carry,xor(carry,and(t1,t6)))) ),[0,1],$fot(xor(a,t3))]]) ).
cnf(refute_0_17257,plain,
( or(and(carry,not(xor(carry,and(t1,t6)))),and(not(carry),xor(carry,and(t1,t6)))) != xor(carry,xor(carry,and(t1,t6)))
| or(and(carry,not(xor(carry,and(t1,t6)))),xor(a,t3)) = xor(carry,xor(carry,and(t1,t6))) ),
inference(resolve,[$cnf( $equal(and(not(carry),xor(carry,and(t1,t6))),xor(a,t3)) )],[refute_0_17255,refute_0_17256]) ).
cnf(refute_0_17258,plain,
or(and(carry,not(xor(carry,and(t1,t6)))),xor(a,t3)) = xor(carry,xor(carry,and(t1,t6))),
inference(resolve,[$cnf( $equal(or(and(carry,not(xor(carry,and(t1,t6)))),and(not(carry),xor(carry,and(t1,t6)))),xor(carry,xor(carry,and(t1,t6)))) )],[refute_0_17234,refute_0_17257]) ).
cnf(refute_0_17259,plain,
not(and(or(a,b),t5)) = not(and(t5,or(a,b))),
inference(subst,[],[refute_0_333:[bind(X_31,$fot(or(a,b))),bind(X_32,$fot(t5))]]) ).
cnf(refute_0_17260,plain,
not(and(or(a,t4),Y)) = or(not(or(a,t4)),not(Y)),
inference(subst,[],[and_demorgan:[bind(X,$fot(or(a,t4)))]]) ).
cnf(refute_0_17261,plain,
( not(and(or(a,t4),Y)) != or(not(or(a,t4)),not(Y))
| not(or(a,t4)) != xor(a,t3)
| not(and(or(a,t4),Y)) = or(xor(a,t3),not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(a,t4),Y)),or(not(or(a,t4)),not(Y))) ),[1,0],$fot(xor(a,t3))]]) ).
cnf(refute_0_17262,plain,
( not(and(or(a,t4),Y)) != or(not(or(a,t4)),not(Y))
| not(and(or(a,t4),Y)) = or(xor(a,t3),not(Y)) ),
inference(resolve,[$cnf( $equal(not(or(a,t4)),xor(a,t3)) )],[refute_0_2958,refute_0_17261]) ).
cnf(refute_0_17263,plain,
not(and(or(a,t4),Y)) = or(xor(a,t3),not(Y)),
inference(resolve,[$cnf( $equal(not(and(or(a,t4),Y)),or(not(or(a,t4)),not(Y))) )],[refute_0_17260,refute_0_17262]) ).
cnf(refute_0_17264,plain,
and(or(a,t4),Y) = and(or(a,t4),Y),
introduced(tautology,[refl,[$fot(and(or(a,t4),Y))]]) ).
cnf(refute_0_17265,plain,
( and(or(a,t4),Y) != and(or(a,t4),Y)
| or(a,t4) != or(a,b)
| and(or(a,t4),Y) = and(or(a,b),Y) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(a,t4),Y),and(or(a,t4),Y)) ),[1,0],$fot(or(a,b))]]) ).
cnf(refute_0_17266,plain,
( or(a,t4) != or(a,b)
| and(or(a,t4),Y) = and(or(a,b),Y) ),
inference(resolve,[$cnf( $equal(and(or(a,t4),Y),and(or(a,t4),Y)) )],[refute_0_17264,refute_0_17265]) ).
cnf(refute_0_17267,plain,
and(or(a,t4),Y) = and(or(a,b),Y),
inference(resolve,[$cnf( $equal(or(a,t4),or(a,b)) )],[refute_0_3071,refute_0_17266]) ).
cnf(refute_0_17268,plain,
not(and(or(a,t4),Y)) = not(and(or(a,t4),Y)),
introduced(tautology,[refl,[$fot(not(and(or(a,t4),Y)))]]) ).
cnf(refute_0_17269,plain,
( and(or(a,t4),Y) != and(or(a,b),Y)
| not(and(or(a,t4),Y)) != not(and(or(a,t4),Y))
| not(and(or(a,t4),Y)) = not(and(or(a,b),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(a,t4),Y)),not(and(or(a,t4),Y))) ),[1,0],$fot(and(or(a,b),Y))]]) ).
cnf(refute_0_17270,plain,
( and(or(a,t4),Y) != and(or(a,b),Y)
| not(and(or(a,t4),Y)) = not(and(or(a,b),Y)) ),
inference(resolve,[$cnf( $equal(not(and(or(a,t4),Y)),not(and(or(a,t4),Y))) )],[refute_0_17268,refute_0_17269]) ).
cnf(refute_0_17271,plain,
not(and(or(a,t4),Y)) = not(and(or(a,b),Y)),
inference(resolve,[$cnf( $equal(and(or(a,t4),Y),and(or(a,b),Y)) )],[refute_0_17267,refute_0_17270]) ).
cnf(refute_0_17272,plain,
( not(and(or(a,t4),Y)) != not(and(or(a,b),Y))
| not(and(or(a,t4),Y)) != or(xor(a,t3),not(Y))
| not(and(or(a,b),Y)) = or(xor(a,t3),not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(a,t4),Y)),or(xor(a,t3),not(Y))) ),[0],$fot(not(and(or(a,b),Y)))]]) ).
cnf(refute_0_17273,plain,
( not(and(or(a,t4),Y)) != or(xor(a,t3),not(Y))
| not(and(or(a,b),Y)) = or(xor(a,t3),not(Y)) ),
inference(resolve,[$cnf( $equal(not(and(or(a,t4),Y)),not(and(or(a,b),Y))) )],[refute_0_17271,refute_0_17272]) ).
cnf(refute_0_17274,plain,
not(and(or(a,b),Y)) = or(xor(a,t3),not(Y)),
inference(resolve,[$cnf( $equal(not(and(or(a,t4),Y)),or(xor(a,t3),not(Y))) )],[refute_0_17263,refute_0_17273]) ).
cnf(refute_0_17275,plain,
( not(and(or(a,b),Y)) != or(xor(a,t3),not(Y))
| or(xor(a,t3),not(Y)) = not(and(or(a,b),Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(or(a,b),Y)))),bind(Y0,$fot(or(xor(a,t3),not(Y))))]]) ).
cnf(refute_0_17276,plain,
or(xor(a,t3),not(Y)) = not(and(or(a,b),Y)),
inference(resolve,[$cnf( $equal(not(and(or(a,b),Y)),or(xor(a,t3),not(Y))) )],[refute_0_17274,refute_0_17275]) ).
cnf(refute_0_17277,plain,
or(xor(a,t3),not(t5)) = not(and(or(a,b),t5)),
inference(subst,[],[refute_0_17276:[bind(Y,$fot(t5))]]) ).
cnf(refute_0_17278,plain,
( not(and(or(a,b),t5)) != not(and(t5,or(a,b)))
| or(xor(a,t3),not(t5)) != not(and(or(a,b),t5))
| or(xor(a,t3),not(t5)) = not(and(t5,or(a,b))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(xor(a,t3),not(t5)))),bind(Y0,$fot(not(and(or(a,b),t5)))),bind(Z0,$fot(not(and(t5,or(a,b)))))]]) ).
cnf(refute_0_17279,plain,
( not(and(or(a,b),t5)) != not(and(t5,or(a,b)))
| or(xor(a,t3),not(t5)) = not(and(t5,or(a,b))) ),
inference(resolve,[$cnf( $equal(or(xor(a,t3),not(t5)),not(and(or(a,b),t5))) )],[refute_0_17277,refute_0_17278]) ).
cnf(refute_0_17280,plain,
or(xor(a,t3),not(t5)) = not(and(t5,or(a,b))),
inference(resolve,[$cnf( $equal(not(and(or(a,b),t5)),not(and(t5,or(a,b)))) )],[refute_0_17259,refute_0_17279]) ).
cnf(refute_0_17281,plain,
and(carry,not(xor(carry,and(t1,t6)))) = and(carry,not(xor(carry,and(t1,t6)))),
introduced(tautology,[refl,[$fot(and(carry,not(xor(carry,and(t1,t6)))))]]) ).
cnf(refute_0_17282,plain,
( and(carry,not(xor(carry,and(t1,t6)))) != and(carry,not(xor(carry,and(t1,t6))))
| not(xor(carry,and(t1,t6))) != t4
| and(carry,not(xor(carry,and(t1,t6)))) = and(carry,t4) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,not(xor(carry,and(t1,t6)))),and(carry,not(xor(carry,and(t1,t6))))) ),[1,1],$fot(t4)]]) ).
cnf(refute_0_17283,plain,
( not(xor(carry,and(t1,t6))) != t4
| and(carry,not(xor(carry,and(t1,t6)))) = and(carry,t4) ),
inference(resolve,[$cnf( $equal(and(carry,not(xor(carry,and(t1,t6)))),and(carry,not(xor(carry,and(t1,t6))))) )],[refute_0_17281,refute_0_17282]) ).
cnf(refute_0_17284,plain,
and(carry,not(xor(carry,and(t1,t6)))) = and(carry,t4),
inference(resolve,[$cnf( $equal(not(xor(carry,and(t1,t6))),t4) )],[refute_0_10861,refute_0_17283]) ).
cnf(refute_0_17285,plain,
( and(carry,not(xor(carry,and(t1,t6)))) != and(carry,t4)
| and(carry,t4) != not(t5)
| and(carry,not(xor(carry,and(t1,t6)))) = not(t5) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(carry,not(xor(carry,and(t1,t6)))))),bind(Y0,$fot(and(carry,t4))),bind(Z0,$fot(not(t5)))]]) ).
cnf(refute_0_17286,plain,
( and(carry,t4) != not(t5)
| and(carry,not(xor(carry,and(t1,t6)))) = not(t5) ),
inference(resolve,[$cnf( $equal(and(carry,not(xor(carry,and(t1,t6)))),and(carry,t4)) )],[refute_0_17284,refute_0_17285]) ).
cnf(refute_0_17287,plain,
and(carry,not(xor(carry,and(t1,t6)))) = not(t5),
inference(resolve,[$cnf( $equal(and(carry,t4),not(t5)) )],[refute_0_12129,refute_0_17286]) ).
cnf(refute_0_17288,plain,
or(xor(a,t3),and(carry,not(xor(carry,and(t1,t6))))) = or(xor(a,t3),and(carry,not(xor(carry,and(t1,t6))))),
introduced(tautology,[refl,[$fot(or(xor(a,t3),and(carry,not(xor(carry,and(t1,t6))))))]]) ).
cnf(refute_0_17289,plain,
( and(carry,not(xor(carry,and(t1,t6)))) != not(t5)
| or(xor(a,t3),and(carry,not(xor(carry,and(t1,t6))))) != or(xor(a,t3),and(carry,not(xor(carry,and(t1,t6)))))
| or(xor(a,t3),and(carry,not(xor(carry,and(t1,t6))))) = or(xor(a,t3),not(t5)) ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(a,t3),and(carry,not(xor(carry,and(t1,t6))))),or(xor(a,t3),and(carry,not(xor(carry,and(t1,t6)))))) ),[1,1],$fot(not(t5))]]) ).
cnf(refute_0_17290,plain,
( and(carry,not(xor(carry,and(t1,t6)))) != not(t5)
| or(xor(a,t3),and(carry,not(xor(carry,and(t1,t6))))) = or(xor(a,t3),not(t5)) ),
inference(resolve,[$cnf( $equal(or(xor(a,t3),and(carry,not(xor(carry,and(t1,t6))))),or(xor(a,t3),and(carry,not(xor(carry,and(t1,t6)))))) )],[refute_0_17288,refute_0_17289]) ).
cnf(refute_0_17291,plain,
or(xor(a,t3),and(carry,not(xor(carry,and(t1,t6))))) = or(xor(a,t3),not(t5)),
inference(resolve,[$cnf( $equal(and(carry,not(xor(carry,and(t1,t6)))),not(t5)) )],[refute_0_17287,refute_0_17290]) ).
cnf(refute_0_17292,plain,
( or(xor(a,t3),and(carry,not(xor(carry,and(t1,t6))))) != or(xor(a,t3),not(t5))
| or(xor(a,t3),not(t5)) != not(and(t5,or(a,b)))
| or(xor(a,t3),and(carry,not(xor(carry,and(t1,t6))))) = not(and(t5,or(a,b))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(xor(a,t3),and(carry,not(xor(carry,and(t1,t6))))))),bind(Y0,$fot(or(xor(a,t3),not(t5)))),bind(Z0,$fot(not(and(t5,or(a,b)))))]]) ).
cnf(refute_0_17293,plain,
( or(xor(a,t3),not(t5)) != not(and(t5,or(a,b)))
| or(xor(a,t3),and(carry,not(xor(carry,and(t1,t6))))) = not(and(t5,or(a,b))) ),
inference(resolve,[$cnf( $equal(or(xor(a,t3),and(carry,not(xor(carry,and(t1,t6))))),or(xor(a,t3),not(t5))) )],[refute_0_17291,refute_0_17292]) ).
cnf(refute_0_17294,plain,
or(xor(a,t3),and(carry,not(xor(carry,and(t1,t6))))) = not(and(t5,or(a,b))),
inference(resolve,[$cnf( $equal(or(xor(a,t3),not(t5)),not(and(t5,or(a,b)))) )],[refute_0_17280,refute_0_17293]) ).
cnf(refute_0_17295,plain,
or(and(carry,not(xor(carry,and(t1,t6)))),xor(a,t3)) = or(xor(a,t3),and(carry,not(xor(carry,and(t1,t6))))),
inference(subst,[],[refute_0_5:[bind(X,$fot(xor(a,t3))),bind(Y,$fot(and(carry,not(xor(carry,and(t1,t6))))))]]) ).
cnf(refute_0_17296,plain,
( or(and(carry,not(xor(carry,and(t1,t6)))),xor(a,t3)) != or(xor(a,t3),and(carry,not(xor(carry,and(t1,t6)))))
| or(xor(a,t3),and(carry,not(xor(carry,and(t1,t6))))) != not(and(t5,or(a,b)))
| or(and(carry,not(xor(carry,and(t1,t6)))),xor(a,t3)) = not(and(t5,or(a,b))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(carry,not(xor(carry,and(t1,t6)))),xor(a,t3)))),bind(Y0,$fot(or(xor(a,t3),and(carry,not(xor(carry,and(t1,t6))))))),bind(Z0,$fot(not(and(t5,or(a,b)))))]]) ).
cnf(refute_0_17297,plain,
( or(xor(a,t3),and(carry,not(xor(carry,and(t1,t6))))) != not(and(t5,or(a,b)))
| or(and(carry,not(xor(carry,and(t1,t6)))),xor(a,t3)) = not(and(t5,or(a,b))) ),
inference(resolve,[$cnf( $equal(or(and(carry,not(xor(carry,and(t1,t6)))),xor(a,t3)),or(xor(a,t3),and(carry,not(xor(carry,and(t1,t6)))))) )],[refute_0_17295,refute_0_17296]) ).
cnf(refute_0_17298,plain,
or(and(carry,not(xor(carry,and(t1,t6)))),xor(a,t3)) = not(and(t5,or(a,b))),
inference(resolve,[$cnf( $equal(or(xor(a,t3),and(carry,not(xor(carry,and(t1,t6))))),not(and(t5,or(a,b)))) )],[refute_0_17294,refute_0_17297]) ).
cnf(refute_0_17299,plain,
( or(and(carry,not(xor(carry,and(t1,t6)))),xor(a,t3)) != not(and(t5,or(a,b)))
| or(and(carry,not(xor(carry,and(t1,t6)))),xor(a,t3)) != xor(carry,xor(carry,and(t1,t6)))
| not(and(t5,or(a,b))) = xor(carry,xor(carry,and(t1,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(carry,not(xor(carry,and(t1,t6)))),xor(a,t3)),xor(carry,xor(carry,and(t1,t6)))) ),[0],$fot(not(and(t5,or(a,b))))]]) ).
cnf(refute_0_17300,plain,
( or(and(carry,not(xor(carry,and(t1,t6)))),xor(a,t3)) != xor(carry,xor(carry,and(t1,t6)))
| not(and(t5,or(a,b))) = xor(carry,xor(carry,and(t1,t6))) ),
inference(resolve,[$cnf( $equal(or(and(carry,not(xor(carry,and(t1,t6)))),xor(a,t3)),not(and(t5,or(a,b)))) )],[refute_0_17298,refute_0_17299]) ).
cnf(refute_0_17301,plain,
xor(carry,xor(carry,and(t1,t6))) = and(t1,t6),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(carry)),bind(X_335,$fot(and(t1,t6)))]]) ).
cnf(refute_0_17302,plain,
( not(and(t5,or(a,b))) != xor(carry,xor(carry,and(t1,t6)))
| xor(carry,xor(carry,and(t1,t6))) != and(t1,t6)
| not(and(t5,or(a,b))) = and(t1,t6) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(t5,or(a,b))),and(t1,t6)) ),[0],$fot(xor(carry,xor(carry,and(t1,t6))))]]) ).
cnf(refute_0_17303,plain,
( not(and(t5,or(a,b))) != xor(carry,xor(carry,and(t1,t6)))
| not(and(t5,or(a,b))) = and(t1,t6) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(carry,and(t1,t6))),and(t1,t6)) )],[refute_0_17301,refute_0_17302]) ).
cnf(refute_0_17304,plain,
( or(and(carry,not(xor(carry,and(t1,t6)))),xor(a,t3)) != xor(carry,xor(carry,and(t1,t6)))
| not(and(t5,or(a,b))) = and(t1,t6) ),
inference(resolve,[$cnf( $equal(not(and(t5,or(a,b))),xor(carry,xor(carry,and(t1,t6)))) )],[refute_0_17300,refute_0_17303]) ).
cnf(refute_0_17305,plain,
not(and(t5,or(a,b))) = and(t1,t6),
inference(resolve,[$cnf( $equal(or(and(carry,not(xor(carry,and(t1,t6)))),xor(a,t3)),xor(carry,xor(carry,and(t1,t6)))) )],[refute_0_17258,refute_0_17304]) ).
cnf(refute_0_17306,plain,
( not(and(t5,or(a,b))) != and(t1,t6)
| not(or(X,and(t5,or(a,b)))) != and(not(X),not(and(t5,or(a,b))))
| not(or(X,and(t5,or(a,b)))) = and(not(X),and(t1,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,and(t5,or(a,b)))),and(not(X),not(and(t5,or(a,b))))) ),[1,1],$fot(and(t1,t6))]]) ).
cnf(refute_0_17307,plain,
( not(or(X,and(t5,or(a,b)))) != and(not(X),not(and(t5,or(a,b))))
| not(or(X,and(t5,or(a,b)))) = and(not(X),and(t1,t6)) ),
inference(resolve,[$cnf( $equal(not(and(t5,or(a,b))),and(t1,t6)) )],[refute_0_17305,refute_0_17306]) ).
cnf(refute_0_17308,plain,
not(or(X,and(t5,or(a,b)))) = and(not(X),and(t1,t6)),
inference(resolve,[$cnf( $equal(not(or(X,and(t5,or(a,b)))),and(not(X),not(and(t5,or(a,b))))) )],[refute_0_17233,refute_0_17307]) ).
cnf(refute_0_17309,plain,
not(or(not(and(or(carry,t6),or(t1,not(t6)))),X_26)) = and(and(or(carry,t6),or(t1,not(t6))),not(X_26)),
inference(subst,[],[refute_0_159:[bind(X,$fot(and(or(carry,t6),or(t1,not(t6)))))]]) ).
cnf(refute_0_17310,plain,
( not(and(or(carry,t6),or(t1,not(t6)))) != xor(t1,t6)
| not(or(not(and(or(carry,t6),or(t1,not(t6)))),X_26)) != and(and(or(carry,t6),or(t1,not(t6))),not(X_26))
| not(or(xor(t1,t6),X_26)) = and(and(or(carry,t6),or(t1,not(t6))),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(and(or(carry,t6),or(t1,not(t6)))),X_26)),and(and(or(carry,t6),or(t1,not(t6))),not(X_26))) ),[0,0,0],$fot(xor(t1,t6))]]) ).
cnf(refute_0_17311,plain,
( not(or(not(and(or(carry,t6),or(t1,not(t6)))),X_26)) != and(and(or(carry,t6),or(t1,not(t6))),not(X_26))
| not(or(xor(t1,t6),X_26)) = and(and(or(carry,t6),or(t1,not(t6))),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(and(or(carry,t6),or(t1,not(t6)))),xor(t1,t6)) )],[refute_0_10458,refute_0_17310]) ).
cnf(refute_0_17312,plain,
not(or(xor(t1,t6),X_26)) = and(and(or(carry,t6),or(t1,not(t6))),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(not(and(or(carry,t6),or(t1,not(t6)))),X_26)),and(and(or(carry,t6),or(t1,not(t6))),not(X_26))) )],[refute_0_17309,refute_0_17311]) ).
cnf(refute_0_17313,plain,
not(or(and(X_206,X_205),Y)) = and(not(and(X_206,X_205)),not(Y)),
inference(subst,[],[or_demorgan:[bind(X,$fot(and(X_206,X_205)))]]) ).
cnf(refute_0_17314,plain,
( not(and(X_206,X_205)) != not(and(X_205,X_206))
| not(or(and(X_206,X_205),Y)) != and(not(and(X_206,X_205)),not(Y))
| not(or(and(X_206,X_205),Y)) = and(not(and(X_205,X_206)),not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(and(X_206,X_205),Y)),and(not(and(X_206,X_205)),not(Y))) ),[1,0],$fot(not(and(X_205,X_206)))]]) ).
cnf(refute_0_17315,plain,
( not(or(and(X_206,X_205),Y)) != and(not(and(X_206,X_205)),not(Y))
| not(or(and(X_206,X_205),Y)) = and(not(and(X_205,X_206)),not(Y)) ),
inference(resolve,[$cnf( $equal(not(and(X_206,X_205)),not(and(X_205,X_206))) )],[refute_0_4066,refute_0_17314]) ).
cnf(refute_0_17316,plain,
not(or(and(X_206,X_205),Y)) = and(not(and(X_205,X_206)),not(Y)),
inference(resolve,[$cnf( $equal(not(or(and(X_206,X_205),Y)),and(not(and(X_206,X_205)),not(Y))) )],[refute_0_17313,refute_0_17315]) ).
cnf(refute_0_17317,plain,
and(not(and(X_205,X_206)),not(Y)) = not(or(and(X_205,X_206),Y)),
inference(subst,[],[refute_0_101:[bind(X,$fot(and(X_205,X_206)))]]) ).
cnf(refute_0_17318,plain,
( and(not(and(X_205,X_206)),not(Y)) != not(or(and(X_205,X_206),Y))
| not(or(and(X_206,X_205),Y)) != and(not(and(X_205,X_206)),not(Y))
| not(or(and(X_206,X_205),Y)) = not(or(and(X_205,X_206),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(and(X_206,X_205),Y)),and(not(and(X_205,X_206)),not(Y))) ),[1],$fot(not(or(and(X_205,X_206),Y)))]]) ).
cnf(refute_0_17319,plain,
( not(or(and(X_206,X_205),Y)) != and(not(and(X_205,X_206)),not(Y))
| not(or(and(X_206,X_205),Y)) = not(or(and(X_205,X_206),Y)) ),
inference(resolve,[$cnf( $equal(and(not(and(X_205,X_206)),not(Y)),not(or(and(X_205,X_206),Y))) )],[refute_0_17317,refute_0_17318]) ).
cnf(refute_0_17320,plain,
not(or(and(X_206,X_205),Y)) = not(or(and(X_205,X_206),Y)),
inference(resolve,[$cnf( $equal(not(or(and(X_206,X_205),Y)),and(not(and(X_205,X_206)),not(Y))) )],[refute_0_17316,refute_0_17319]) ).
cnf(refute_0_17321,plain,
( not(or(and(X_206,X_205),Y)) != not(or(and(X_205,X_206),Y))
| not(or(and(X_205,X_206),Y)) = not(or(and(X_206,X_205),Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(and(X_206,X_205),Y)))),bind(Y0,$fot(not(or(and(X_205,X_206),Y))))]]) ).
cnf(refute_0_17322,plain,
not(or(and(X_205,X_206),Y)) = not(or(and(X_206,X_205),Y)),
inference(resolve,[$cnf( $equal(not(or(and(X_206,X_205),Y)),not(or(and(X_205,X_206),Y))) )],[refute_0_17320,refute_0_17321]) ).
cnf(refute_0_17323,plain,
not(or(and(not(t1),t6),X_26)) = not(or(and(t6,not(t1)),X_26)),
inference(subst,[],[refute_0_17322:[bind(Y,$fot(X_26)),bind(X_205,$fot(not(t1))),bind(X_206,$fot(t6))]]) ).
cnf(refute_0_17324,plain,
not(or(and(not(X_33),X_34),Y)) = and(not(and(not(X_33),X_34)),not(Y)),
inference(subst,[],[or_demorgan:[bind(X,$fot(and(not(X_33),X_34)))]]) ).
cnf(refute_0_17325,plain,
( not(and(not(X_33),X_34)) != or(X_33,not(X_34))
| not(or(and(not(X_33),X_34),Y)) != and(not(and(not(X_33),X_34)),not(Y))
| not(or(and(not(X_33),X_34),Y)) = and(or(X_33,not(X_34)),not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(and(not(X_33),X_34),Y)),and(not(and(not(X_33),X_34)),not(Y))) ),[1,0],$fot(or(X_33,not(X_34)))]]) ).
cnf(refute_0_17326,plain,
( not(or(and(not(X_33),X_34),Y)) != and(not(and(not(X_33),X_34)),not(Y))
| not(or(and(not(X_33),X_34),Y)) = and(or(X_33,not(X_34)),not(Y)) ),
inference(resolve,[$cnf( $equal(not(and(not(X_33),X_34)),or(X_33,not(X_34))) )],[refute_0_5524,refute_0_17325]) ).
cnf(refute_0_17327,plain,
not(or(and(not(X_33),X_34),Y)) = and(or(X_33,not(X_34)),not(Y)),
inference(resolve,[$cnf( $equal(not(or(and(not(X_33),X_34),Y)),and(not(and(not(X_33),X_34)),not(Y))) )],[refute_0_17324,refute_0_17326]) ).
cnf(refute_0_17328,plain,
( not(or(and(not(X_33),X_34),Y)) != and(or(X_33,not(X_34)),not(Y))
| and(or(X_33,not(X_34)),not(Y)) = not(or(and(not(X_33),X_34),Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(and(not(X_33),X_34),Y)))),bind(Y0,$fot(and(or(X_33,not(X_34)),not(Y))))]]) ).
cnf(refute_0_17329,plain,
and(or(X_33,not(X_34)),not(Y)) = not(or(and(not(X_33),X_34),Y)),
inference(resolve,[$cnf( $equal(not(or(and(not(X_33),X_34),Y)),and(or(X_33,not(X_34)),not(Y))) )],[refute_0_17327,refute_0_17328]) ).
cnf(refute_0_17330,plain,
and(or(t1,not(t6)),not(X_26)) = not(or(and(not(t1),t6),X_26)),
inference(subst,[],[refute_0_17329:[bind(Y,$fot(X_26)),bind(X_33,$fot(t1)),bind(X_34,$fot(t6))]]) ).
cnf(refute_0_17331,plain,
( and(or(t1,not(t6)),not(X_26)) != not(or(and(not(t1),t6),X_26))
| not(or(and(not(t1),t6),X_26)) != not(or(and(t6,not(t1)),X_26))
| and(or(t1,not(t6)),not(X_26)) = not(or(and(t6,not(t1)),X_26)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(or(t1,not(t6)),not(X_26)))),bind(Y0,$fot(not(or(and(not(t1),t6),X_26)))),bind(Z0,$fot(not(or(and(t6,not(t1)),X_26))))]]) ).
cnf(refute_0_17332,plain,
( not(or(and(not(t1),t6),X_26)) != not(or(and(t6,not(t1)),X_26))
| and(or(t1,not(t6)),not(X_26)) = not(or(and(t6,not(t1)),X_26)) ),
inference(resolve,[$cnf( $equal(and(or(t1,not(t6)),not(X_26)),not(or(and(not(t1),t6),X_26))) )],[refute_0_17330,refute_0_17331]) ).
cnf(refute_0_17333,plain,
and(or(t1,not(t6)),not(X_26)) = not(or(and(t6,not(t1)),X_26)),
inference(resolve,[$cnf( $equal(not(or(and(not(t1),t6),X_26)),not(or(and(t6,not(t1)),X_26))) )],[refute_0_17323,refute_0_17332]) ).
cnf(refute_0_17334,plain,
and(or(carry,t6),and(or(t1,not(t6)),not(X_26))) = and(or(carry,t6),and(or(t1,not(t6)),not(X_26))),
introduced(tautology,[refl,[$fot(and(or(carry,t6),and(or(t1,not(t6)),not(X_26))))]]) ).
cnf(refute_0_17335,plain,
( and(or(carry,t6),and(or(t1,not(t6)),not(X_26))) != and(or(carry,t6),and(or(t1,not(t6)),not(X_26)))
| and(or(t1,not(t6)),not(X_26)) != not(or(and(t6,not(t1)),X_26))
| and(or(carry,t6),and(or(t1,not(t6)),not(X_26))) = and(or(carry,t6),not(or(and(t6,not(t1)),X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(carry,t6),and(or(t1,not(t6)),not(X_26))),and(or(carry,t6),and(or(t1,not(t6)),not(X_26)))) ),[1,1],$fot(not(or(and(t6,not(t1)),X_26)))]]) ).
cnf(refute_0_17336,plain,
( and(or(t1,not(t6)),not(X_26)) != not(or(and(t6,not(t1)),X_26))
| and(or(carry,t6),and(or(t1,not(t6)),not(X_26))) = and(or(carry,t6),not(or(and(t6,not(t1)),X_26))) ),
inference(resolve,[$cnf( $equal(and(or(carry,t6),and(or(t1,not(t6)),not(X_26))),and(or(carry,t6),and(or(t1,not(t6)),not(X_26)))) )],[refute_0_17334,refute_0_17335]) ).
cnf(refute_0_17337,plain,
and(or(carry,t6),and(or(t1,not(t6)),not(X_26))) = and(or(carry,t6),not(or(and(t6,not(t1)),X_26))),
inference(resolve,[$cnf( $equal(and(or(t1,not(t6)),not(X_26)),not(or(and(t6,not(t1)),X_26))) )],[refute_0_17333,refute_0_17336]) ).
cnf(refute_0_17338,plain,
and(and(or(carry,t6),or(t1,not(t6))),not(X_26)) = and(or(carry,t6),and(or(t1,not(t6)),not(X_26))),
inference(subst,[],[and_associative:[bind(X,$fot(or(carry,t6))),bind(Y,$fot(or(t1,not(t6)))),bind(Z,$fot(not(X_26)))]]) ).
cnf(refute_0_17339,plain,
( and(and(or(carry,t6),or(t1,not(t6))),not(X_26)) != and(or(carry,t6),and(or(t1,not(t6)),not(X_26)))
| and(or(carry,t6),and(or(t1,not(t6)),not(X_26))) != and(or(carry,t6),not(or(and(t6,not(t1)),X_26)))
| and(and(or(carry,t6),or(t1,not(t6))),not(X_26)) = and(or(carry,t6),not(or(and(t6,not(t1)),X_26))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(or(carry,t6),or(t1,not(t6))),not(X_26)))),bind(Y0,$fot(and(or(carry,t6),and(or(t1,not(t6)),not(X_26))))),bind(Z0,$fot(and(or(carry,t6),not(or(and(t6,not(t1)),X_26)))))]]) ).
cnf(refute_0_17340,plain,
( and(or(carry,t6),and(or(t1,not(t6)),not(X_26))) != and(or(carry,t6),not(or(and(t6,not(t1)),X_26)))
| and(and(or(carry,t6),or(t1,not(t6))),not(X_26)) = and(or(carry,t6),not(or(and(t6,not(t1)),X_26))) ),
inference(resolve,[$cnf( $equal(and(and(or(carry,t6),or(t1,not(t6))),not(X_26)),and(or(carry,t6),and(or(t1,not(t6)),not(X_26)))) )],[refute_0_17338,refute_0_17339]) ).
cnf(refute_0_17341,plain,
and(and(or(carry,t6),or(t1,not(t6))),not(X_26)) = and(or(carry,t6),not(or(and(t6,not(t1)),X_26))),
inference(resolve,[$cnf( $equal(and(or(carry,t6),and(or(t1,not(t6)),not(X_26))),and(or(carry,t6),not(or(and(t6,not(t1)),X_26)))) )],[refute_0_17337,refute_0_17340]) ).
cnf(refute_0_17342,plain,
( and(and(or(carry,t6),or(t1,not(t6))),not(X_26)) != and(or(carry,t6),not(or(and(t6,not(t1)),X_26)))
| not(or(xor(t1,t6),X_26)) != and(and(or(carry,t6),or(t1,not(t6))),not(X_26))
| not(or(xor(t1,t6),X_26)) = and(or(carry,t6),not(or(and(t6,not(t1)),X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(t1,t6),X_26)),and(and(or(carry,t6),or(t1,not(t6))),not(X_26))) ),[1],$fot(and(or(carry,t6),not(or(and(t6,not(t1)),X_26))))]]) ).
cnf(refute_0_17343,plain,
( not(or(xor(t1,t6),X_26)) != and(and(or(carry,t6),or(t1,not(t6))),not(X_26))
| not(or(xor(t1,t6),X_26)) = and(or(carry,t6),not(or(and(t6,not(t1)),X_26))) ),
inference(resolve,[$cnf( $equal(and(and(or(carry,t6),or(t1,not(t6))),not(X_26)),and(or(carry,t6),not(or(and(t6,not(t1)),X_26)))) )],[refute_0_17341,refute_0_17342]) ).
cnf(refute_0_17344,plain,
not(or(xor(t1,t6),X_26)) = and(or(carry,t6),not(or(and(t6,not(t1)),X_26))),
inference(resolve,[$cnf( $equal(not(or(xor(t1,t6),X_26)),and(and(or(carry,t6),or(t1,not(t6))),not(X_26))) )],[refute_0_17312,refute_0_17343]) ).
cnf(refute_0_17345,plain,
and(or(carry,t6),not(or(and(t6,not(t1)),X_26))) = and(or(carry,t6),not(or(and(t6,not(t1)),X_26))),
introduced(tautology,[refl,[$fot(and(or(carry,t6),not(or(and(t6,not(t1)),X_26))))]]) ).
cnf(refute_0_17346,plain,
( and(or(carry,t6),not(or(and(t6,not(t1)),X_26))) != and(or(carry,t6),not(or(and(t6,not(t1)),X_26)))
| or(carry,t6) != t6
| and(or(carry,t6),not(or(and(t6,not(t1)),X_26))) = and(t6,not(or(and(t6,not(t1)),X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(carry,t6),not(or(and(t6,not(t1)),X_26))),and(or(carry,t6),not(or(and(t6,not(t1)),X_26)))) ),[1,0],$fot(t6)]]) ).
cnf(refute_0_17347,plain,
( or(carry,t6) != t6
| and(or(carry,t6),not(or(and(t6,not(t1)),X_26))) = and(t6,not(or(and(t6,not(t1)),X_26))) ),
inference(resolve,[$cnf( $equal(and(or(carry,t6),not(or(and(t6,not(t1)),X_26))),and(or(carry,t6),not(or(and(t6,not(t1)),X_26)))) )],[refute_0_17345,refute_0_17346]) ).
cnf(refute_0_17348,plain,
and(or(carry,t6),not(or(and(t6,not(t1)),X_26))) = and(t6,not(or(and(t6,not(t1)),X_26))),
inference(resolve,[$cnf( $equal(or(carry,t6),t6) )],[refute_0_10664,refute_0_17347]) ).
cnf(refute_0_17349,plain,
( and(or(carry,t6),not(or(and(t6,not(t1)),X_26))) != and(t6,not(or(and(t6,not(t1)),X_26)))
| not(or(xor(t1,t6),X_26)) != and(or(carry,t6),not(or(and(t6,not(t1)),X_26)))
| not(or(xor(t1,t6),X_26)) = and(t6,not(or(and(t6,not(t1)),X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(t1,t6),X_26)),and(or(carry,t6),not(or(and(t6,not(t1)),X_26)))) ),[1],$fot(and(t6,not(or(and(t6,not(t1)),X_26))))]]) ).
cnf(refute_0_17350,plain,
( not(or(xor(t1,t6),X_26)) != and(or(carry,t6),not(or(and(t6,not(t1)),X_26)))
| not(or(xor(t1,t6),X_26)) = and(t6,not(or(and(t6,not(t1)),X_26))) ),
inference(resolve,[$cnf( $equal(and(or(carry,t6),not(or(and(t6,not(t1)),X_26))),and(t6,not(or(and(t6,not(t1)),X_26)))) )],[refute_0_17348,refute_0_17349]) ).
cnf(refute_0_17351,plain,
not(or(xor(t1,t6),X_26)) = and(t6,not(or(and(t6,not(t1)),X_26))),
inference(resolve,[$cnf( $equal(not(or(xor(t1,t6),X_26)),and(or(carry,t6),not(or(and(t6,not(t1)),X_26)))) )],[refute_0_17344,refute_0_17350]) ).
cnf(refute_0_17352,plain,
and(t6,and(t1,not(X_26))) = and(t1,and(t6,not(X_26))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(t6)),bind(X_221,$fot(t1)),bind(X_222,$fot(not(X_26)))]]) ).
cnf(refute_0_17353,plain,
not(or(not(t1),X_26)) = and(t1,not(X_26)),
inference(subst,[],[refute_0_159:[bind(X,$fot(t1))]]) ).
cnf(refute_0_17354,plain,
and(not(t1),or(t6,not(t1))) = not(t1),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(not(t1))),bind(X_20,$fot(t6))]]) ).
cnf(refute_0_17355,plain,
( and(not(t1),or(t6,not(t1))) != not(t1)
| or(t6,not(t1)) != or(carry,t6)
| and(not(t1),or(carry,t6)) = not(t1) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t1),or(t6,not(t1))),not(t1)) ),[0,1],$fot(or(carry,t6))]]) ).
cnf(refute_0_17356,plain,
( and(not(t1),or(t6,not(t1))) != not(t1)
| and(not(t1),or(carry,t6)) = not(t1) ),
inference(resolve,[$cnf( $equal(or(t6,not(t1)),or(carry,t6)) )],[refute_0_10654,refute_0_17355]) ).
cnf(refute_0_17357,plain,
and(not(t1),or(carry,t6)) = not(t1),
inference(resolve,[$cnf( $equal(and(not(t1),or(t6,not(t1))),not(t1)) )],[refute_0_17354,refute_0_17356]) ).
cnf(refute_0_17358,plain,
and(not(t1),t6) = and(t6,not(t1)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t6)),bind(Y,$fot(not(t1)))]]) ).
cnf(refute_0_17359,plain,
and(not(t1),or(carry,t6)) = and(not(t1),or(carry,t6)),
introduced(tautology,[refl,[$fot(and(not(t1),or(carry,t6)))]]) ).
cnf(refute_0_17360,plain,
( and(not(t1),or(carry,t6)) != and(not(t1),or(carry,t6))
| or(carry,t6) != t6
| and(not(t1),or(carry,t6)) = and(not(t1),t6) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t1),or(carry,t6)),and(not(t1),or(carry,t6))) ),[1,1],$fot(t6)]]) ).
cnf(refute_0_17361,plain,
( or(carry,t6) != t6
| and(not(t1),or(carry,t6)) = and(not(t1),t6) ),
inference(resolve,[$cnf( $equal(and(not(t1),or(carry,t6)),and(not(t1),or(carry,t6))) )],[refute_0_17359,refute_0_17360]) ).
cnf(refute_0_17362,plain,
and(not(t1),or(carry,t6)) = and(not(t1),t6),
inference(resolve,[$cnf( $equal(or(carry,t6),t6) )],[refute_0_10664,refute_0_17361]) ).
cnf(refute_0_17363,plain,
( and(not(t1),or(carry,t6)) != and(not(t1),t6)
| and(not(t1),t6) != and(t6,not(t1))
| and(not(t1),or(carry,t6)) = and(t6,not(t1)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t1),or(carry,t6)))),bind(Y0,$fot(and(not(t1),t6))),bind(Z0,$fot(and(t6,not(t1))))]]) ).
cnf(refute_0_17364,plain,
( and(not(t1),t6) != and(t6,not(t1))
| and(not(t1),or(carry,t6)) = and(t6,not(t1)) ),
inference(resolve,[$cnf( $equal(and(not(t1),or(carry,t6)),and(not(t1),t6)) )],[refute_0_17362,refute_0_17363]) ).
cnf(refute_0_17365,plain,
and(not(t1),or(carry,t6)) = and(t6,not(t1)),
inference(resolve,[$cnf( $equal(and(not(t1),t6),and(t6,not(t1))) )],[refute_0_17358,refute_0_17364]) ).
cnf(refute_0_17366,plain,
( and(not(t1),or(carry,t6)) != and(t6,not(t1))
| and(not(t1),or(carry,t6)) != not(t1)
| and(t6,not(t1)) = not(t1) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t1),or(carry,t6)),not(t1)) ),[0],$fot(and(t6,not(t1)))]]) ).
cnf(refute_0_17367,plain,
( and(not(t1),or(carry,t6)) != not(t1)
| and(t6,not(t1)) = not(t1) ),
inference(resolve,[$cnf( $equal(and(not(t1),or(carry,t6)),and(t6,not(t1))) )],[refute_0_17365,refute_0_17366]) ).
cnf(refute_0_17368,plain,
and(t6,not(t1)) = not(t1),
inference(resolve,[$cnf( $equal(and(not(t1),or(carry,t6)),not(t1)) )],[refute_0_17357,refute_0_17367]) ).
cnf(refute_0_17369,plain,
or(and(t6,not(t1)),X_26) = or(and(t6,not(t1)),X_26),
introduced(tautology,[refl,[$fot(or(and(t6,not(t1)),X_26))]]) ).
cnf(refute_0_17370,plain,
( and(t6,not(t1)) != not(t1)
| or(and(t6,not(t1)),X_26) != or(and(t6,not(t1)),X_26)
| or(and(t6,not(t1)),X_26) = or(not(t1),X_26) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,not(t1)),X_26),or(and(t6,not(t1)),X_26)) ),[1,0],$fot(not(t1))]]) ).
cnf(refute_0_17371,plain,
( and(t6,not(t1)) != not(t1)
| or(and(t6,not(t1)),X_26) = or(not(t1),X_26) ),
inference(resolve,[$cnf( $equal(or(and(t6,not(t1)),X_26),or(and(t6,not(t1)),X_26)) )],[refute_0_17369,refute_0_17370]) ).
cnf(refute_0_17372,plain,
or(and(t6,not(t1)),X_26) = or(not(t1),X_26),
inference(resolve,[$cnf( $equal(and(t6,not(t1)),not(t1)) )],[refute_0_17368,refute_0_17371]) ).
cnf(refute_0_17373,plain,
not(or(and(t6,not(t1)),X_26)) = not(or(and(t6,not(t1)),X_26)),
introduced(tautology,[refl,[$fot(not(or(and(t6,not(t1)),X_26)))]]) ).
cnf(refute_0_17374,plain,
( not(or(and(t6,not(t1)),X_26)) != not(or(and(t6,not(t1)),X_26))
| or(and(t6,not(t1)),X_26) != or(not(t1),X_26)
| not(or(and(t6,not(t1)),X_26)) = not(or(not(t1),X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(and(t6,not(t1)),X_26)),not(or(and(t6,not(t1)),X_26))) ),[1,0],$fot(or(not(t1),X_26))]]) ).
cnf(refute_0_17375,plain,
( or(and(t6,not(t1)),X_26) != or(not(t1),X_26)
| not(or(and(t6,not(t1)),X_26)) = not(or(not(t1),X_26)) ),
inference(resolve,[$cnf( $equal(not(or(and(t6,not(t1)),X_26)),not(or(and(t6,not(t1)),X_26))) )],[refute_0_17373,refute_0_17374]) ).
cnf(refute_0_17376,plain,
not(or(and(t6,not(t1)),X_26)) = not(or(not(t1),X_26)),
inference(resolve,[$cnf( $equal(or(and(t6,not(t1)),X_26),or(not(t1),X_26)) )],[refute_0_17372,refute_0_17375]) ).
cnf(refute_0_17377,plain,
( not(or(and(t6,not(t1)),X_26)) != not(or(not(t1),X_26))
| not(or(not(t1),X_26)) != and(t1,not(X_26))
| not(or(and(t6,not(t1)),X_26)) = and(t1,not(X_26)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(and(t6,not(t1)),X_26)))),bind(Y0,$fot(not(or(not(t1),X_26)))),bind(Z0,$fot(and(t1,not(X_26))))]]) ).
cnf(refute_0_17378,plain,
( not(or(not(t1),X_26)) != and(t1,not(X_26))
| not(or(and(t6,not(t1)),X_26)) = and(t1,not(X_26)) ),
inference(resolve,[$cnf( $equal(not(or(and(t6,not(t1)),X_26)),not(or(not(t1),X_26))) )],[refute_0_17376,refute_0_17377]) ).
cnf(refute_0_17379,plain,
not(or(and(t6,not(t1)),X_26)) = and(t1,not(X_26)),
inference(resolve,[$cnf( $equal(not(or(not(t1),X_26)),and(t1,not(X_26))) )],[refute_0_17353,refute_0_17378]) ).
cnf(refute_0_17380,plain,
and(t6,not(or(and(t6,not(t1)),X_26))) = and(t6,not(or(and(t6,not(t1)),X_26))),
introduced(tautology,[refl,[$fot(and(t6,not(or(and(t6,not(t1)),X_26))))]]) ).
cnf(refute_0_17381,plain,
( and(t6,not(or(and(t6,not(t1)),X_26))) != and(t6,not(or(and(t6,not(t1)),X_26)))
| not(or(and(t6,not(t1)),X_26)) != and(t1,not(X_26))
| and(t6,not(or(and(t6,not(t1)),X_26))) = and(t6,and(t1,not(X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(or(and(t6,not(t1)),X_26))),and(t6,not(or(and(t6,not(t1)),X_26)))) ),[1,1],$fot(and(t1,not(X_26)))]]) ).
cnf(refute_0_17382,plain,
( not(or(and(t6,not(t1)),X_26)) != and(t1,not(X_26))
| and(t6,not(or(and(t6,not(t1)),X_26))) = and(t6,and(t1,not(X_26))) ),
inference(resolve,[$cnf( $equal(and(t6,not(or(and(t6,not(t1)),X_26))),and(t6,not(or(and(t6,not(t1)),X_26)))) )],[refute_0_17380,refute_0_17381]) ).
cnf(refute_0_17383,plain,
and(t6,not(or(and(t6,not(t1)),X_26))) = and(t6,and(t1,not(X_26))),
inference(resolve,[$cnf( $equal(not(or(and(t6,not(t1)),X_26)),and(t1,not(X_26))) )],[refute_0_17379,refute_0_17382]) ).
cnf(refute_0_17384,plain,
( and(t6,and(t1,not(X_26))) != and(t1,and(t6,not(X_26)))
| and(t6,not(or(and(t6,not(t1)),X_26))) != and(t6,and(t1,not(X_26)))
| and(t6,not(or(and(t6,not(t1)),X_26))) = and(t1,and(t6,not(X_26))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t6,not(or(and(t6,not(t1)),X_26))))),bind(Y0,$fot(and(t6,and(t1,not(X_26))))),bind(Z0,$fot(and(t1,and(t6,not(X_26)))))]]) ).
cnf(refute_0_17385,plain,
( and(t6,and(t1,not(X_26))) != and(t1,and(t6,not(X_26)))
| and(t6,not(or(and(t6,not(t1)),X_26))) = and(t1,and(t6,not(X_26))) ),
inference(resolve,[$cnf( $equal(and(t6,not(or(and(t6,not(t1)),X_26))),and(t6,and(t1,not(X_26)))) )],[refute_0_17383,refute_0_17384]) ).
cnf(refute_0_17386,plain,
and(t6,not(or(and(t6,not(t1)),X_26))) = and(t1,and(t6,not(X_26))),
inference(resolve,[$cnf( $equal(and(t6,and(t1,not(X_26))),and(t1,and(t6,not(X_26)))) )],[refute_0_17352,refute_0_17385]) ).
cnf(refute_0_17387,plain,
( and(t6,not(or(and(t6,not(t1)),X_26))) != and(t1,and(t6,not(X_26)))
| not(or(xor(t1,t6),X_26)) != and(t6,not(or(and(t6,not(t1)),X_26)))
| not(or(xor(t1,t6),X_26)) = and(t1,and(t6,not(X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(t1,t6),X_26)),and(t6,not(or(and(t6,not(t1)),X_26)))) ),[1],$fot(and(t1,and(t6,not(X_26))))]]) ).
cnf(refute_0_17388,plain,
( not(or(xor(t1,t6),X_26)) != and(t6,not(or(and(t6,not(t1)),X_26)))
| not(or(xor(t1,t6),X_26)) = and(t1,and(t6,not(X_26))) ),
inference(resolve,[$cnf( $equal(and(t6,not(or(and(t6,not(t1)),X_26))),and(t1,and(t6,not(X_26)))) )],[refute_0_17386,refute_0_17387]) ).
cnf(refute_0_17389,plain,
not(or(xor(t1,t6),X_26)) = and(t1,and(t6,not(X_26))),
inference(resolve,[$cnf( $equal(not(or(xor(t1,t6),X_26)),and(t6,not(or(and(t6,not(t1)),X_26)))) )],[refute_0_17351,refute_0_17388]) ).
cnf(refute_0_17390,plain,
or(xor(t1,t6),X_26) = or(xor(t1,t6),X_26),
introduced(tautology,[refl,[$fot(or(xor(t1,t6),X_26))]]) ).
cnf(refute_0_17391,plain,
( or(xor(t1,t6),X_26) != or(xor(t1,t6),X_26)
| xor(t1,t6) != xor(carry,t4)
| or(xor(t1,t6),X_26) = or(xor(carry,t4),X_26) ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(t1,t6),X_26),or(xor(t1,t6),X_26)) ),[1,0],$fot(xor(carry,t4))]]) ).
cnf(refute_0_17392,plain,
( xor(t1,t6) != xor(carry,t4)
| or(xor(t1,t6),X_26) = or(xor(carry,t4),X_26) ),
inference(resolve,[$cnf( $equal(or(xor(t1,t6),X_26),or(xor(t1,t6),X_26)) )],[refute_0_17390,refute_0_17391]) ).
cnf(refute_0_17393,plain,
or(xor(t1,t6),X_26) = or(xor(carry,t4),X_26),
inference(resolve,[$cnf( $equal(xor(t1,t6),xor(carry,t4)) )],[refute_0_10685,refute_0_17392]) ).
cnf(refute_0_17394,plain,
not(or(xor(t1,t6),X_26)) = not(or(xor(t1,t6),X_26)),
introduced(tautology,[refl,[$fot(not(or(xor(t1,t6),X_26)))]]) ).
cnf(refute_0_17395,plain,
( not(or(xor(t1,t6),X_26)) != not(or(xor(t1,t6),X_26))
| or(xor(t1,t6),X_26) != or(xor(carry,t4),X_26)
| not(or(xor(t1,t6),X_26)) = not(or(xor(carry,t4),X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(t1,t6),X_26)),not(or(xor(t1,t6),X_26))) ),[1,0],$fot(or(xor(carry,t4),X_26))]]) ).
cnf(refute_0_17396,plain,
( or(xor(t1,t6),X_26) != or(xor(carry,t4),X_26)
| not(or(xor(t1,t6),X_26)) = not(or(xor(carry,t4),X_26)) ),
inference(resolve,[$cnf( $equal(not(or(xor(t1,t6),X_26)),not(or(xor(t1,t6),X_26))) )],[refute_0_17394,refute_0_17395]) ).
cnf(refute_0_17397,plain,
not(or(xor(t1,t6),X_26)) = not(or(xor(carry,t4),X_26)),
inference(resolve,[$cnf( $equal(or(xor(t1,t6),X_26),or(xor(carry,t4),X_26)) )],[refute_0_17393,refute_0_17396]) ).
cnf(refute_0_17398,plain,
( not(or(xor(t1,t6),X_26)) != and(t1,and(t6,not(X_26)))
| not(or(xor(t1,t6),X_26)) != not(or(xor(carry,t4),X_26))
| not(or(xor(carry,t4),X_26)) = and(t1,and(t6,not(X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(t1,t6),X_26)),and(t1,and(t6,not(X_26)))) ),[0],$fot(not(or(xor(carry,t4),X_26)))]]) ).
cnf(refute_0_17399,plain,
( not(or(xor(t1,t6),X_26)) != and(t1,and(t6,not(X_26)))
| not(or(xor(carry,t4),X_26)) = and(t1,and(t6,not(X_26))) ),
inference(resolve,[$cnf( $equal(not(or(xor(t1,t6),X_26)),not(or(xor(carry,t4),X_26))) )],[refute_0_17397,refute_0_17398]) ).
cnf(refute_0_17400,plain,
not(or(xor(carry,t4),X_26)) = and(t1,and(t6,not(X_26))),
inference(resolve,[$cnf( $equal(not(or(xor(t1,t6),X_26)),and(t1,and(t6,not(X_26)))) )],[refute_0_17389,refute_0_17399]) ).
cnf(refute_0_17401,plain,
( not(or(xor(carry,t4),X_26)) != and(t1,and(t6,not(X_26)))
| and(t1,and(t6,not(X_26))) = not(or(xor(carry,t4),X_26)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(xor(carry,t4),X_26)))),bind(Y0,$fot(and(t1,and(t6,not(X_26)))))]]) ).
cnf(refute_0_17402,plain,
and(t1,and(t6,not(X_26))) = not(or(xor(carry,t4),X_26)),
inference(resolve,[$cnf( $equal(not(or(xor(carry,t4),X_26)),and(t1,and(t6,not(X_26)))) )],[refute_0_17400,refute_0_17401]) ).
cnf(refute_0_17403,plain,
and(t1,and(t6,not(X))) = not(or(xor(carry,t4),X)),
inference(subst,[],[refute_0_17402:[bind(X_26,$fot(X))]]) ).
cnf(refute_0_17404,plain,
and(t1,and(not(X),t6)) = and(t1,and(t6,not(X))),
inference(subst,[],[refute_0_2637:[bind(X_220,$fot(t1)),bind(X_221,$fot(t6)),bind(X_222,$fot(not(X)))]]) ).
cnf(refute_0_17405,plain,
( and(t1,and(not(X),t6)) != and(t1,and(t6,not(X)))
| and(t1,and(t6,not(X))) != not(or(xor(carry,t4),X))
| and(t1,and(not(X),t6)) = not(or(xor(carry,t4),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t1,and(not(X),t6)))),bind(Y0,$fot(and(t1,and(t6,not(X))))),bind(Z0,$fot(not(or(xor(carry,t4),X))))]]) ).
cnf(refute_0_17406,plain,
( and(t1,and(t6,not(X))) != not(or(xor(carry,t4),X))
| and(t1,and(not(X),t6)) = not(or(xor(carry,t4),X)) ),
inference(resolve,[$cnf( $equal(and(t1,and(not(X),t6)),and(t1,and(t6,not(X)))) )],[refute_0_17404,refute_0_17405]) ).
cnf(refute_0_17407,plain,
and(t1,and(not(X),t6)) = not(or(xor(carry,t4),X)),
inference(resolve,[$cnf( $equal(and(t1,and(t6,not(X))),not(or(xor(carry,t4),X))) )],[refute_0_17403,refute_0_17406]) ).
cnf(refute_0_17408,plain,
and(not(X),and(t1,t6)) = and(t1,and(not(X),t6)),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(X))),bind(X_221,$fot(t1)),bind(X_222,$fot(t6))]]) ).
cnf(refute_0_17409,plain,
( and(not(X),and(t1,t6)) != and(t1,and(not(X),t6))
| and(t1,and(not(X),t6)) != not(or(xor(carry,t4),X))
| and(not(X),and(t1,t6)) = not(or(xor(carry,t4),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(X),and(t1,t6)))),bind(Y0,$fot(and(t1,and(not(X),t6)))),bind(Z0,$fot(not(or(xor(carry,t4),X))))]]) ).
cnf(refute_0_17410,plain,
( and(t1,and(not(X),t6)) != not(or(xor(carry,t4),X))
| and(not(X),and(t1,t6)) = not(or(xor(carry,t4),X)) ),
inference(resolve,[$cnf( $equal(and(not(X),and(t1,t6)),and(t1,and(not(X),t6))) )],[refute_0_17408,refute_0_17409]) ).
cnf(refute_0_17411,plain,
and(not(X),and(t1,t6)) = not(or(xor(carry,t4),X)),
inference(resolve,[$cnf( $equal(and(t1,and(not(X),t6)),not(or(xor(carry,t4),X))) )],[refute_0_17407,refute_0_17410]) ).
cnf(refute_0_17412,plain,
( and(not(X),and(t1,t6)) != not(or(xor(carry,t4),X))
| not(or(X,and(t5,or(a,b)))) != and(not(X),and(t1,t6))
| not(or(X,and(t5,or(a,b)))) = not(or(xor(carry,t4),X)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,and(t5,or(a,b)))),and(not(X),and(t1,t6))) ),[1],$fot(not(or(xor(carry,t4),X)))]]) ).
cnf(refute_0_17413,plain,
( not(or(X,and(t5,or(a,b)))) != and(not(X),and(t1,t6))
| not(or(X,and(t5,or(a,b)))) = not(or(xor(carry,t4),X)) ),
inference(resolve,[$cnf( $equal(and(not(X),and(t1,t6)),not(or(xor(carry,t4),X))) )],[refute_0_17411,refute_0_17412]) ).
cnf(refute_0_17414,plain,
not(or(X,and(t5,or(a,b)))) = not(or(xor(carry,t4),X)),
inference(resolve,[$cnf( $equal(not(or(X,and(t5,or(a,b)))),and(not(X),and(t1,t6))) )],[refute_0_17308,refute_0_17413]) ).
cnf(refute_0_17415,plain,
not(not(and(t5,or(a,b)))) = and(t5,or(a,b)),
inference(subst,[],[not_involution:[bind(X,$fot(and(t5,or(a,b))))]]) ).
cnf(refute_0_17416,plain,
( not(and(t5,or(a,b))) != and(t1,t6)
| not(not(and(t5,or(a,b)))) != and(t5,or(a,b))
| not(and(t1,t6)) = and(t5,or(a,b)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(t5,or(a,b)))),and(t5,or(a,b))) ),[0,0],$fot(and(t1,t6))]]) ).
cnf(refute_0_17417,plain,
( not(not(and(t5,or(a,b)))) != and(t5,or(a,b))
| not(and(t1,t6)) = and(t5,or(a,b)) ),
inference(resolve,[$cnf( $equal(not(and(t5,or(a,b))),and(t1,t6)) )],[refute_0_17305,refute_0_17416]) ).
cnf(refute_0_17418,plain,
not(and(t1,t6)) = and(t5,or(a,b)),
inference(resolve,[$cnf( $equal(not(not(and(t5,or(a,b)))),and(t5,or(a,b))) )],[refute_0_17415,refute_0_17417]) ).
cnf(refute_0_17419,plain,
( not(and(t1,t6)) != and(t5,or(a,b))
| not(and(t1,t6)) != xor(carry,t4)
| xor(carry,t4) = and(t5,or(a,b)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(t1,t6)),and(t5,or(a,b))) ),[0],$fot(xor(carry,t4))]]) ).
cnf(refute_0_17420,plain,
( not(and(t1,t6)) != and(t5,or(a,b))
| xor(carry,t4) = and(t5,or(a,b)) ),
inference(resolve,[$cnf( $equal(not(and(t1,t6)),xor(carry,t4)) )],[refute_0_10854,refute_0_17419]) ).
cnf(refute_0_17421,plain,
xor(carry,t4) = and(t5,or(a,b)),
inference(resolve,[$cnf( $equal(not(and(t1,t6)),and(t5,or(a,b))) )],[refute_0_17418,refute_0_17420]) ).
cnf(refute_0_17422,plain,
( xor(carry,t4) != and(t5,or(a,b))
| and(t5,or(a,b)) = xor(carry,t4) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(carry,t4))),bind(Y0,$fot(and(t5,or(a,b))))]]) ).
cnf(refute_0_17423,plain,
and(t5,or(a,b)) = xor(carry,t4),
inference(resolve,[$cnf( $equal(xor(carry,t4),and(t5,or(a,b))) )],[refute_0_17421,refute_0_17422]) ).
cnf(refute_0_17424,plain,
or(X,and(t5,or(a,b))) = or(X,and(t5,or(a,b))),
introduced(tautology,[refl,[$fot(or(X,and(t5,or(a,b))))]]) ).
cnf(refute_0_17425,plain,
( and(t5,or(a,b)) != xor(carry,t4)
| or(X,and(t5,or(a,b))) != or(X,and(t5,or(a,b)))
| or(X,and(t5,or(a,b))) = or(X,xor(carry,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(or(X,and(t5,or(a,b))),or(X,and(t5,or(a,b)))) ),[1,1],$fot(xor(carry,t4))]]) ).
cnf(refute_0_17426,plain,
( and(t5,or(a,b)) != xor(carry,t4)
| or(X,and(t5,or(a,b))) = or(X,xor(carry,t4)) ),
inference(resolve,[$cnf( $equal(or(X,and(t5,or(a,b))),or(X,and(t5,or(a,b)))) )],[refute_0_17424,refute_0_17425]) ).
cnf(refute_0_17427,plain,
or(X,and(t5,or(a,b))) = or(X,xor(carry,t4)),
inference(resolve,[$cnf( $equal(and(t5,or(a,b)),xor(carry,t4)) )],[refute_0_17423,refute_0_17426]) ).
cnf(refute_0_17428,plain,
not(or(X,and(t5,or(a,b)))) = not(or(X,and(t5,or(a,b)))),
introduced(tautology,[refl,[$fot(not(or(X,and(t5,or(a,b)))))]]) ).
cnf(refute_0_17429,plain,
( not(or(X,and(t5,or(a,b)))) != not(or(X,and(t5,or(a,b))))
| or(X,and(t5,or(a,b))) != or(X,xor(carry,t4))
| not(or(X,and(t5,or(a,b)))) = not(or(X,xor(carry,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,and(t5,or(a,b)))),not(or(X,and(t5,or(a,b))))) ),[1,0],$fot(or(X,xor(carry,t4)))]]) ).
cnf(refute_0_17430,plain,
( or(X,and(t5,or(a,b))) != or(X,xor(carry,t4))
| not(or(X,and(t5,or(a,b)))) = not(or(X,xor(carry,t4))) ),
inference(resolve,[$cnf( $equal(not(or(X,and(t5,or(a,b)))),not(or(X,and(t5,or(a,b))))) )],[refute_0_17428,refute_0_17429]) ).
cnf(refute_0_17431,plain,
not(or(X,and(t5,or(a,b)))) = not(or(X,xor(carry,t4))),
inference(resolve,[$cnf( $equal(or(X,and(t5,or(a,b))),or(X,xor(carry,t4))) )],[refute_0_17427,refute_0_17430]) ).
cnf(refute_0_17432,plain,
( not(or(X,and(t5,or(a,b)))) != not(or(X,xor(carry,t4)))
| not(or(X,and(t5,or(a,b)))) != not(or(xor(carry,t4),X))
| not(or(X,xor(carry,t4))) = not(or(xor(carry,t4),X)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,and(t5,or(a,b)))),not(or(xor(carry,t4),X))) ),[0],$fot(not(or(X,xor(carry,t4))))]]) ).
cnf(refute_0_17433,plain,
( not(or(X,and(t5,or(a,b)))) != not(or(xor(carry,t4),X))
| not(or(X,xor(carry,t4))) = not(or(xor(carry,t4),X)) ),
inference(resolve,[$cnf( $equal(not(or(X,and(t5,or(a,b)))),not(or(X,xor(carry,t4)))) )],[refute_0_17431,refute_0_17432]) ).
cnf(refute_0_17434,plain,
not(or(X,xor(carry,t4))) = not(or(xor(carry,t4),X)),
inference(resolve,[$cnf( $equal(not(or(X,and(t5,or(a,b)))),not(or(xor(carry,t4),X))) )],[refute_0_17414,refute_0_17433]) ).
cnf(refute_0_17435,plain,
( not(or(X,xor(carry,t4))) != not(or(xor(carry,t4),X))
| not(or(xor(carry,t4),X)) = not(or(X,xor(carry,t4))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X,xor(carry,t4))))),bind(Y0,$fot(not(or(xor(carry,t4),X))))]]) ).
cnf(refute_0_17436,plain,
not(or(xor(carry,t4),X)) = not(or(X,xor(carry,t4))),
inference(resolve,[$cnf( $equal(not(or(X,xor(carry,t4))),not(or(xor(carry,t4),X))) )],[refute_0_17434,refute_0_17435]) ).
cnf(refute_0_17437,plain,
not(or(xor(carry,t4),cin)) = not(or(cin,xor(carry,t4))),
inference(subst,[],[refute_0_17436:[bind(X,$fot(cin))]]) ).
cnf(refute_0_17438,plain,
and(t1,and(t6,not(cin))) = not(or(xor(carry,t4),cin)),
inference(subst,[],[refute_0_17402:[bind(X_26,$fot(cin))]]) ).
cnf(refute_0_17439,plain,
( and(t1,and(t6,not(cin))) != not(or(xor(carry,t4),cin))
| not(or(xor(carry,t4),cin)) != not(or(cin,xor(carry,t4)))
| and(t1,and(t6,not(cin))) = not(or(cin,xor(carry,t4))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t1,and(t6,not(cin))))),bind(Y0,$fot(not(or(xor(carry,t4),cin)))),bind(Z0,$fot(not(or(cin,xor(carry,t4)))))]]) ).
cnf(refute_0_17440,plain,
( not(or(xor(carry,t4),cin)) != not(or(cin,xor(carry,t4)))
| and(t1,and(t6,not(cin))) = not(or(cin,xor(carry,t4))) ),
inference(resolve,[$cnf( $equal(and(t1,and(t6,not(cin))),not(or(xor(carry,t4),cin))) )],[refute_0_17438,refute_0_17439]) ).
cnf(refute_0_17441,plain,
and(t1,and(t6,not(cin))) = not(or(cin,xor(carry,t4))),
inference(resolve,[$cnf( $equal(not(or(xor(carry,t4),cin)),not(or(cin,xor(carry,t4)))) )],[refute_0_17437,refute_0_17440]) ).
cnf(refute_0_17442,plain,
and(t1,and(not(cin),t6)) = and(t1,and(t6,not(cin))),
inference(subst,[],[refute_0_2637:[bind(X_220,$fot(t1)),bind(X_221,$fot(t6)),bind(X_222,$fot(not(cin)))]]) ).
cnf(refute_0_17443,plain,
( and(t1,and(not(cin),t6)) != and(t1,and(t6,not(cin)))
| and(t1,and(t6,not(cin))) != not(or(cin,xor(carry,t4)))
| and(t1,and(not(cin),t6)) = not(or(cin,xor(carry,t4))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t1,and(not(cin),t6)))),bind(Y0,$fot(and(t1,and(t6,not(cin))))),bind(Z0,$fot(not(or(cin,xor(carry,t4)))))]]) ).
cnf(refute_0_17444,plain,
( and(t1,and(t6,not(cin))) != not(or(cin,xor(carry,t4)))
| and(t1,and(not(cin),t6)) = not(or(cin,xor(carry,t4))) ),
inference(resolve,[$cnf( $equal(and(t1,and(not(cin),t6)),and(t1,and(t6,not(cin)))) )],[refute_0_17442,refute_0_17443]) ).
cnf(refute_0_17445,plain,
and(t1,and(not(cin),t6)) = not(or(cin,xor(carry,t4))),
inference(resolve,[$cnf( $equal(and(t1,and(t6,not(cin))),not(or(cin,xor(carry,t4)))) )],[refute_0_17441,refute_0_17444]) ).
cnf(refute_0_17446,plain,
and(not(cin),and(t1,t6)) = and(t1,and(not(cin),t6)),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(cin))),bind(X_221,$fot(t1)),bind(X_222,$fot(t6))]]) ).
cnf(refute_0_17447,plain,
( and(not(cin),and(t1,t6)) != and(t1,and(not(cin),t6))
| and(t1,and(not(cin),t6)) != not(or(cin,xor(carry,t4)))
| and(not(cin),and(t1,t6)) = not(or(cin,xor(carry,t4))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(cin),and(t1,t6)))),bind(Y0,$fot(and(t1,and(not(cin),t6)))),bind(Z0,$fot(not(or(cin,xor(carry,t4)))))]]) ).
cnf(refute_0_17448,plain,
( and(t1,and(not(cin),t6)) != not(or(cin,xor(carry,t4)))
| and(not(cin),and(t1,t6)) = not(or(cin,xor(carry,t4))) ),
inference(resolve,[$cnf( $equal(and(not(cin),and(t1,t6)),and(t1,and(not(cin),t6))) )],[refute_0_17446,refute_0_17447]) ).
cnf(refute_0_17449,plain,
and(not(cin),and(t1,t6)) = not(or(cin,xor(carry,t4))),
inference(resolve,[$cnf( $equal(and(t1,and(not(cin),t6)),not(or(cin,xor(carry,t4)))) )],[refute_0_17445,refute_0_17448]) ).
cnf(refute_0_17450,plain,
and(sum,and(not(cin),and(t1,t6))) = and(sum,and(not(cin),and(t1,t6))),
introduced(tautology,[refl,[$fot(and(sum,and(not(cin),and(t1,t6))))]]) ).
cnf(refute_0_17451,plain,
( and(not(cin),and(t1,t6)) != not(or(cin,xor(carry,t4)))
| and(sum,and(not(cin),and(t1,t6))) != and(sum,and(not(cin),and(t1,t6)))
| and(sum,and(not(cin),and(t1,t6))) = and(sum,not(or(cin,xor(carry,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(sum,and(not(cin),and(t1,t6))),and(sum,and(not(cin),and(t1,t6)))) ),[1,1],$fot(not(or(cin,xor(carry,t4))))]]) ).
cnf(refute_0_17452,plain,
( and(not(cin),and(t1,t6)) != not(or(cin,xor(carry,t4)))
| and(sum,and(not(cin),and(t1,t6))) = and(sum,not(or(cin,xor(carry,t4)))) ),
inference(resolve,[$cnf( $equal(and(sum,and(not(cin),and(t1,t6))),and(sum,and(not(cin),and(t1,t6)))) )],[refute_0_17450,refute_0_17451]) ).
cnf(refute_0_17453,plain,
and(sum,and(not(cin),and(t1,t6))) = and(sum,not(or(cin,xor(carry,t4)))),
inference(resolve,[$cnf( $equal(and(not(cin),and(t1,t6)),not(or(cin,xor(carry,t4)))) )],[refute_0_17449,refute_0_17452]) ).
cnf(refute_0_17454,plain,
and(not(cin),and(sum,and(t1,t6))) = and(sum,and(not(cin),and(t1,t6))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(cin))),bind(X_221,$fot(sum)),bind(X_222,$fot(and(t1,t6)))]]) ).
cnf(refute_0_17455,plain,
not(or(cin,not(and(sum,and(t1,t6))))) = and(not(cin),and(sum,and(t1,t6))),
inference(subst,[],[refute_0_801:[bind(X,$fot(and(sum,and(t1,t6)))),bind(X_25,$fot(cin))]]) ).
cnf(refute_0_17456,plain,
( and(not(cin),and(sum,and(t1,t6))) != and(sum,and(not(cin),and(t1,t6)))
| not(or(cin,not(and(sum,and(t1,t6))))) != and(not(cin),and(sum,and(t1,t6)))
| not(or(cin,not(and(sum,and(t1,t6))))) = and(sum,and(not(cin),and(t1,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(cin,not(and(sum,and(t1,t6))))))),bind(Y0,$fot(and(not(cin),and(sum,and(t1,t6))))),bind(Z0,$fot(and(sum,and(not(cin),and(t1,t6)))))]]) ).
cnf(refute_0_17457,plain,
( and(not(cin),and(sum,and(t1,t6))) != and(sum,and(not(cin),and(t1,t6)))
| not(or(cin,not(and(sum,and(t1,t6))))) = and(sum,and(not(cin),and(t1,t6))) ),
inference(resolve,[$cnf( $equal(not(or(cin,not(and(sum,and(t1,t6))))),and(not(cin),and(sum,and(t1,t6)))) )],[refute_0_17455,refute_0_17456]) ).
cnf(refute_0_17458,plain,
not(or(cin,not(and(sum,and(t1,t6))))) = and(sum,and(not(cin),and(t1,t6))),
inference(resolve,[$cnf( $equal(and(not(cin),and(sum,and(t1,t6))),and(sum,and(not(cin),and(t1,t6)))) )],[refute_0_17454,refute_0_17457]) ).
cnf(refute_0_17459,plain,
and(ll1,not(or(cin,not(and(sum,and(t1,t6)))))) = not(or(cin,not(and(sum,and(t1,t6))))),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(or(cin,not(and(sum,and(t1,t6)))))))]]) ).
cnf(refute_0_17460,plain,
( and(ll1,not(or(cin,not(and(sum,and(t1,t6)))))) != not(or(cin,not(and(sum,and(t1,t6)))))
| not(or(cin,not(and(sum,and(t1,t6))))) != and(sum,and(not(cin),and(t1,t6)))
| and(ll1,not(or(cin,not(and(sum,and(t1,t6)))))) = and(sum,and(not(cin),and(t1,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(cin,not(and(sum,and(t1,t6)))))))),bind(Y0,$fot(not(or(cin,not(and(sum,and(t1,t6))))))),bind(Z0,$fot(and(sum,and(not(cin),and(t1,t6)))))]]) ).
cnf(refute_0_17461,plain,
( not(or(cin,not(and(sum,and(t1,t6))))) != and(sum,and(not(cin),and(t1,t6)))
| and(ll1,not(or(cin,not(and(sum,and(t1,t6)))))) = and(sum,and(not(cin),and(t1,t6))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(cin,not(and(sum,and(t1,t6)))))),not(or(cin,not(and(sum,and(t1,t6)))))) )],[refute_0_17459,refute_0_17460]) ).
cnf(refute_0_17462,plain,
and(ll1,not(or(cin,not(and(sum,and(t1,t6)))))) = and(sum,and(not(cin),and(t1,t6))),
inference(resolve,[$cnf( $equal(not(or(cin,not(and(sum,and(t1,t6))))),and(sum,and(not(cin),and(t1,t6)))) )],[refute_0_17458,refute_0_17461]) ).
cnf(refute_0_17463,plain,
and(ll1,not(or(not(and(sum,and(t1,t6))),cin))) = and(ll1,not(or(cin,not(and(sum,and(t1,t6)))))),
inference(subst,[],[refute_0_815:[bind(X_25,$fot(cin)),bind(X_26,$fot(not(and(sum,and(t1,t6))))),bind(X_29,$fot(ll1))]]) ).
cnf(refute_0_17464,plain,
( and(ll1,not(or(cin,not(and(sum,and(t1,t6)))))) != and(sum,and(not(cin),and(t1,t6)))
| and(ll1,not(or(not(and(sum,and(t1,t6))),cin))) != and(ll1,not(or(cin,not(and(sum,and(t1,t6))))))
| and(ll1,not(or(not(and(sum,and(t1,t6))),cin))) = and(sum,and(not(cin),and(t1,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(and(sum,and(t1,t6))),cin))))),bind(Y0,$fot(and(ll1,not(or(cin,not(and(sum,and(t1,t6)))))))),bind(Z0,$fot(and(sum,and(not(cin),and(t1,t6)))))]]) ).
cnf(refute_0_17465,plain,
( and(ll1,not(or(cin,not(and(sum,and(t1,t6)))))) != and(sum,and(not(cin),and(t1,t6)))
| and(ll1,not(or(not(and(sum,and(t1,t6))),cin))) = and(sum,and(not(cin),and(t1,t6))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(and(sum,and(t1,t6))),cin))),and(ll1,not(or(cin,not(and(sum,and(t1,t6))))))) )],[refute_0_17463,refute_0_17464]) ).
cnf(refute_0_17466,plain,
and(ll1,not(or(not(and(sum,and(t1,t6))),cin))) = and(sum,and(not(cin),and(t1,t6))),
inference(resolve,[$cnf( $equal(and(ll1,not(or(cin,not(and(sum,and(t1,t6)))))),and(sum,and(not(cin),and(t1,t6)))) )],[refute_0_17462,refute_0_17465]) ).
cnf(refute_0_17467,plain,
( and(ll1,not(or(not(and(sum,and(t1,t6))),cin))) != and(sum,and(not(cin),and(t1,t6)))
| and(sum,and(not(cin),and(t1,t6))) != and(sum,not(or(cin,xor(carry,t4))))
| and(ll1,not(or(not(and(sum,and(t1,t6))),cin))) = and(sum,not(or(cin,xor(carry,t4)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(and(sum,and(t1,t6))),cin))))),bind(Y0,$fot(and(sum,and(not(cin),and(t1,t6))))),bind(Z0,$fot(and(sum,not(or(cin,xor(carry,t4))))))]]) ).
cnf(refute_0_17468,plain,
( and(sum,and(not(cin),and(t1,t6))) != and(sum,not(or(cin,xor(carry,t4))))
| and(ll1,not(or(not(and(sum,and(t1,t6))),cin))) = and(sum,not(or(cin,xor(carry,t4)))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(and(sum,and(t1,t6))),cin))),and(sum,and(not(cin),and(t1,t6)))) )],[refute_0_17466,refute_0_17467]) ).
cnf(refute_0_17469,plain,
and(ll1,not(or(not(and(sum,and(t1,t6))),cin))) = and(sum,not(or(cin,xor(carry,t4)))),
inference(resolve,[$cnf( $equal(and(sum,and(not(cin),and(t1,t6))),and(sum,not(or(cin,xor(carry,t4))))) )],[refute_0_17453,refute_0_17468]) ).
cnf(refute_0_17470,plain,
( and(ll1,not(or(not(and(sum,and(t1,t6))),cin))) != and(sum,not(or(cin,xor(carry,t4))))
| and(ll1,not(or(not(and(sum,and(t1,t6))),cin))) != ll0
| and(sum,not(or(cin,xor(carry,t4)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(ll1,not(or(not(and(sum,and(t1,t6))),cin))),ll0) ),[0],$fot(and(sum,not(or(cin,xor(carry,t4)))))]]) ).
cnf(refute_0_17471,plain,
( and(ll1,not(or(not(and(sum,and(t1,t6))),cin))) != ll0
| and(sum,not(or(cin,xor(carry,t4)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(and(sum,and(t1,t6))),cin))),and(sum,not(or(cin,xor(carry,t4))))) )],[refute_0_17469,refute_0_17470]) ).
cnf(refute_0_17472,plain,
and(sum,not(or(cin,xor(carry,t4)))) = ll0,
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(and(sum,and(t1,t6))),cin))),ll0) )],[refute_0_17232,refute_0_17471]) ).
cnf(refute_0_17473,plain,
( and(sum,not(or(cin,xor(carry,t4)))) != ll0
| or(and(sum,not(or(cin,xor(carry,t4)))),and(not(sum),or(cin,xor(carry,t4)))) != xor(sum,or(cin,xor(carry,t4)))
| or(ll0,and(not(sum),or(cin,xor(carry,t4)))) = xor(sum,or(cin,xor(carry,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(sum,not(or(cin,xor(carry,t4)))),and(not(sum),or(cin,xor(carry,t4)))),xor(sum,or(cin,xor(carry,t4)))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_17474,plain,
( or(and(sum,not(or(cin,xor(carry,t4)))),and(not(sum),or(cin,xor(carry,t4)))) != xor(sum,or(cin,xor(carry,t4)))
| or(ll0,and(not(sum),or(cin,xor(carry,t4)))) = xor(sum,or(cin,xor(carry,t4))) ),
inference(resolve,[$cnf( $equal(and(sum,not(or(cin,xor(carry,t4)))),ll0) )],[refute_0_17472,refute_0_17473]) ).
cnf(refute_0_17475,plain,
or(ll0,and(not(sum),or(cin,xor(carry,t4)))) = xor(sum,or(cin,xor(carry,t4))),
inference(resolve,[$cnf( $equal(or(and(sum,not(or(cin,xor(carry,t4)))),and(not(sum),or(cin,xor(carry,t4)))),xor(sum,or(cin,xor(carry,t4)))) )],[refute_0_17173,refute_0_17474]) ).
cnf(refute_0_17476,plain,
or(ll0,and(not(sum),or(cin,xor(carry,t4)))) = and(not(sum),or(cin,xor(carry,t4))),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(sum),or(cin,xor(carry,t4)))))]]) ).
cnf(refute_0_17477,plain,
( or(ll0,and(not(sum),or(cin,xor(carry,t4)))) != and(not(sum),or(cin,xor(carry,t4)))
| or(ll0,and(not(sum),or(cin,xor(carry,t4)))) != xor(sum,or(cin,xor(carry,t4)))
| and(not(sum),or(cin,xor(carry,t4))) = xor(sum,or(cin,xor(carry,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(sum),or(cin,xor(carry,t4)))),xor(sum,or(cin,xor(carry,t4)))) ),[0],$fot(and(not(sum),or(cin,xor(carry,t4))))]]) ).
cnf(refute_0_17478,plain,
( or(ll0,and(not(sum),or(cin,xor(carry,t4)))) != xor(sum,or(cin,xor(carry,t4)))
| and(not(sum),or(cin,xor(carry,t4))) = xor(sum,or(cin,xor(carry,t4))) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(sum),or(cin,xor(carry,t4)))),and(not(sum),or(cin,xor(carry,t4)))) )],[refute_0_17476,refute_0_17477]) ).
cnf(refute_0_17479,plain,
and(not(sum),or(cin,xor(carry,t4))) = xor(sum,or(cin,xor(carry,t4))),
inference(resolve,[$cnf( $equal(or(ll0,and(not(sum),or(cin,xor(carry,t4)))),xor(sum,or(cin,xor(carry,t4)))) )],[refute_0_17475,refute_0_17478]) ).
cnf(refute_0_17480,plain,
( and(not(sum),or(cin,xor(carry,t4))) != xor(sum,or(cin,xor(carry,t4)))
| not(and(or(cin,xor(carry,t4)),not(sum))) != not(and(not(sum),or(cin,xor(carry,t4))))
| not(and(or(cin,xor(carry,t4)),not(sum))) = not(xor(sum,or(cin,xor(carry,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(cin,xor(carry,t4)),not(sum))),not(and(not(sum),or(cin,xor(carry,t4))))) ),[1,0],$fot(xor(sum,or(cin,xor(carry,t4))))]]) ).
cnf(refute_0_17481,plain,
( not(and(or(cin,xor(carry,t4)),not(sum))) != not(and(not(sum),or(cin,xor(carry,t4))))
| not(and(or(cin,xor(carry,t4)),not(sum))) = not(xor(sum,or(cin,xor(carry,t4)))) ),
inference(resolve,[$cnf( $equal(and(not(sum),or(cin,xor(carry,t4))),xor(sum,or(cin,xor(carry,t4)))) )],[refute_0_17479,refute_0_17480]) ).
cnf(refute_0_17482,plain,
not(and(or(cin,xor(carry,t4)),not(sum))) = not(xor(sum,or(cin,xor(carry,t4)))),
inference(resolve,[$cnf( $equal(not(and(or(cin,xor(carry,t4)),not(sum))),not(and(not(sum),or(cin,xor(carry,t4))))) )],[refute_0_17172,refute_0_17481]) ).
cnf(refute_0_17483,plain,
not(and(not(sum),or(cin,xor(carry,t4)))) = or(sum,not(or(cin,xor(carry,t4)))),
inference(subst,[],[refute_0_787:[bind(X,$fot(sum)),bind(X_32,$fot(or(cin,xor(carry,t4))))]]) ).
cnf(refute_0_17484,plain,
( not(and(not(sum),or(cin,xor(carry,t4)))) != or(sum,not(or(cin,xor(carry,t4))))
| not(and(or(cin,xor(carry,t4)),not(sum))) != not(and(not(sum),or(cin,xor(carry,t4))))
| not(and(or(cin,xor(carry,t4)),not(sum))) = or(sum,not(or(cin,xor(carry,t4)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(or(cin,xor(carry,t4)),not(sum))))),bind(Y0,$fot(not(and(not(sum),or(cin,xor(carry,t4)))))),bind(Z0,$fot(or(sum,not(or(cin,xor(carry,t4))))))]]) ).
cnf(refute_0_17485,plain,
( not(and(not(sum),or(cin,xor(carry,t4)))) != or(sum,not(or(cin,xor(carry,t4))))
| not(and(or(cin,xor(carry,t4)),not(sum))) = or(sum,not(or(cin,xor(carry,t4)))) ),
inference(resolve,[$cnf( $equal(not(and(or(cin,xor(carry,t4)),not(sum))),not(and(not(sum),or(cin,xor(carry,t4))))) )],[refute_0_17172,refute_0_17484]) ).
cnf(refute_0_17486,plain,
not(and(or(cin,xor(carry,t4)),not(sum))) = or(sum,not(or(cin,xor(carry,t4)))),
inference(resolve,[$cnf( $equal(not(and(not(sum),or(cin,xor(carry,t4)))),or(sum,not(or(cin,xor(carry,t4))))) )],[refute_0_17483,refute_0_17485]) ).
cnf(refute_0_17487,plain,
( not(and(or(cin,xor(carry,t4)),not(sum))) != not(xor(sum,or(cin,xor(carry,t4))))
| not(and(or(cin,xor(carry,t4)),not(sum))) != or(sum,not(or(cin,xor(carry,t4))))
| or(sum,not(or(cin,xor(carry,t4)))) = not(xor(sum,or(cin,xor(carry,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(cin,xor(carry,t4)),not(sum))),not(xor(sum,or(cin,xor(carry,t4))))) ),[0],$fot(or(sum,not(or(cin,xor(carry,t4)))))]]) ).
cnf(refute_0_17488,plain,
( not(and(or(cin,xor(carry,t4)),not(sum))) != not(xor(sum,or(cin,xor(carry,t4))))
| or(sum,not(or(cin,xor(carry,t4)))) = not(xor(sum,or(cin,xor(carry,t4)))) ),
inference(resolve,[$cnf( $equal(not(and(or(cin,xor(carry,t4)),not(sum))),or(sum,not(or(cin,xor(carry,t4))))) )],[refute_0_17486,refute_0_17487]) ).
cnf(refute_0_17489,plain,
or(sum,not(or(cin,xor(carry,t4)))) = not(xor(sum,or(cin,xor(carry,t4)))),
inference(resolve,[$cnf( $equal(not(and(or(cin,xor(carry,t4)),not(sum))),not(xor(sum,or(cin,xor(carry,t4))))) )],[refute_0_17482,refute_0_17488]) ).
cnf(refute_0_17490,plain,
and(not(or(carry,cin)),and(t6,not(or(carry,cin)))) = and(not(or(carry,cin)),t6),
inference(subst,[],[refute_0_4181:[bind(Y,$fot(t6)),bind(X_22,$fot(not(or(carry,cin))))]]) ).
cnf(refute_0_17491,plain,
( and(not(or(carry,cin)),and(t6,not(or(carry,cin)))) != and(not(or(carry,cin)),t6)
| and(t6,not(or(carry,cin))) != not(or(carry,sum))
| and(not(or(carry,cin)),not(or(carry,sum))) = and(not(or(carry,cin)),t6) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(or(carry,cin)),and(t6,not(or(carry,cin)))),and(not(or(carry,cin)),t6)) ),[0,1],$fot(not(or(carry,sum)))]]) ).
cnf(refute_0_17492,plain,
( and(not(or(carry,cin)),and(t6,not(or(carry,cin)))) != and(not(or(carry,cin)),t6)
| and(not(or(carry,cin)),not(or(carry,sum))) = and(not(or(carry,cin)),t6) ),
inference(resolve,[$cnf( $equal(and(t6,not(or(carry,cin))),not(or(carry,sum))) )],[refute_0_15846,refute_0_17491]) ).
cnf(refute_0_17493,plain,
and(not(or(carry,cin)),not(or(carry,sum))) = and(not(or(carry,cin)),t6),
inference(resolve,[$cnf( $equal(and(not(or(carry,cin)),and(t6,not(or(carry,cin)))),and(not(or(carry,cin)),t6)) )],[refute_0_17490,refute_0_17492]) ).
cnf(refute_0_17494,plain,
and(t1,and(t1,xor(cin,t6))) = and(t1,xor(cin,t6)),
inference(subst,[],[refute_0_3243:[bind(X_221,$fot(t1)),bind(X_222,$fot(xor(cin,t6)))]]) ).
cnf(refute_0_17495,plain,
and(not(a),xor(cin,t6)) = and(t1,and(t2,xor(cin,t6))),
inference(subst,[],[refute_0_600:[bind(Z,$fot(xor(cin,t6)))]]) ).
cnf(refute_0_17496,plain,
and(xor(t4,t7),or(t2,xor(t4,t7))) = xor(t4,t7),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(xor(t4,t7))),bind(X_20,$fot(t2))]]) ).
cnf(refute_0_17497,plain,
or(or(t2,not(t4)),X_39) = or(t2,or(not(t4),X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(t2)),bind(Y,$fot(not(t4))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_17498,plain,
( or(or(t2,not(t4)),X_39) != or(t2,or(not(t4),X_39))
| or(t2,not(t4)) != t2
| or(t2,X_39) = or(t2,or(not(t4),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t2,not(t4)),X_39),or(t2,or(not(t4),X_39))) ),[0,0],$fot(t2)]]) ).
cnf(refute_0_17499,plain,
( or(or(t2,not(t4)),X_39) != or(t2,or(not(t4),X_39))
| or(t2,X_39) = or(t2,or(not(t4),X_39)) ),
inference(resolve,[$cnf( $equal(or(t2,not(t4)),t2) )],[refute_0_9008,refute_0_17498]) ).
cnf(refute_0_17500,plain,
or(t2,X_39) = or(t2,or(not(t4),X_39)),
inference(resolve,[$cnf( $equal(or(or(t2,not(t4)),X_39),or(t2,or(not(t4),X_39))) )],[refute_0_17497,refute_0_17499]) ).
cnf(refute_0_17501,plain,
or(t2,and(X_14,not(t4))) = or(t2,or(not(t4),and(X_14,not(t4)))),
inference(subst,[],[refute_0_17500:[bind(X_39,$fot(and(X_14,not(t4))))]]) ).
cnf(refute_0_17502,plain,
( or(not(t4),and(X_14,not(t4))) != not(t4)
| or(t2,and(X_14,not(t4))) != or(t2,or(not(t4),and(X_14,not(t4))))
| or(t2,and(X_14,not(t4))) = or(t2,not(t4)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,and(X_14,not(t4))),or(t2,or(not(t4),and(X_14,not(t4))))) ),[1,1],$fot(not(t4))]]) ).
cnf(refute_0_17503,plain,
( or(t2,and(X_14,not(t4))) != or(t2,or(not(t4),and(X_14,not(t4))))
| or(t2,and(X_14,not(t4))) = or(t2,not(t4)) ),
inference(resolve,[$cnf( $equal(or(not(t4),and(X_14,not(t4))),not(t4)) )],[refute_0_1247,refute_0_17502]) ).
cnf(refute_0_17504,plain,
or(t2,and(X_14,not(t4))) = or(t2,not(t4)),
inference(resolve,[$cnf( $equal(or(t2,and(X_14,not(t4))),or(t2,or(not(t4),and(X_14,not(t4))))) )],[refute_0_17501,refute_0_17503]) ).
cnf(refute_0_17505,plain,
( or(t2,and(X_14,not(t4))) != or(t2,not(t4))
| or(t2,not(t4)) != t2
| or(t2,and(X_14,not(t4))) = t2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(t2,and(X_14,not(t4))),t2) ),[0],$fot(or(t2,not(t4)))]]) ).
cnf(refute_0_17506,plain,
( or(t2,and(X_14,not(t4))) != or(t2,not(t4))
| or(t2,and(X_14,not(t4))) = t2 ),
inference(resolve,[$cnf( $equal(or(t2,not(t4)),t2) )],[refute_0_9008,refute_0_17505]) ).
cnf(refute_0_17507,plain,
or(t2,and(X_14,not(t4))) = t2,
inference(resolve,[$cnf( $equal(or(t2,and(X_14,not(t4))),or(t2,not(t4))) )],[refute_0_17504,refute_0_17506]) ).
cnf(refute_0_17508,plain,
or(t2,and(t7,not(t4))) = t2,
inference(subst,[],[refute_0_17507:[bind(X_14,$fot(t7))]]) ).
cnf(refute_0_17509,plain,
( and(t7,not(t4)) != xor(t4,t7)
| or(t2,and(t7,not(t4))) != t2
| or(t2,xor(t4,t7)) = t2 ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,and(t7,not(t4))),t2) ),[0,1],$fot(xor(t4,t7))]]) ).
cnf(refute_0_17510,plain,
( or(t2,and(t7,not(t4))) != t2
| or(t2,xor(t4,t7)) = t2 ),
inference(resolve,[$cnf( $equal(and(t7,not(t4)),xor(t4,t7)) )],[refute_0_780,refute_0_17509]) ).
cnf(refute_0_17511,plain,
or(t2,xor(t4,t7)) = t2,
inference(resolve,[$cnf( $equal(or(t2,and(t7,not(t4))),t2) )],[refute_0_17508,refute_0_17510]) ).
cnf(refute_0_17512,plain,
( and(xor(t4,t7),or(t2,xor(t4,t7))) != xor(t4,t7)
| or(t2,xor(t4,t7)) != t2
| and(xor(t4,t7),t2) = xor(t4,t7) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t4,t7),or(t2,xor(t4,t7))),xor(t4,t7)) ),[0,1],$fot(t2)]]) ).
cnf(refute_0_17513,plain,
( and(xor(t4,t7),or(t2,xor(t4,t7))) != xor(t4,t7)
| and(xor(t4,t7),t2) = xor(t4,t7) ),
inference(resolve,[$cnf( $equal(or(t2,xor(t4,t7)),t2) )],[refute_0_17511,refute_0_17512]) ).
cnf(refute_0_17514,plain,
and(xor(t4,t7),t2) = xor(t4,t7),
inference(resolve,[$cnf( $equal(and(xor(t4,t7),or(t2,xor(t4,t7))),xor(t4,t7)) )],[refute_0_17496,refute_0_17513]) ).
cnf(refute_0_17515,plain,
and(xor(t4,t7),t2) = and(t2,xor(t4,t7)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t2)),bind(Y,$fot(xor(t4,t7)))]]) ).
cnf(refute_0_17516,plain,
( and(xor(t4,t7),t2) != and(t2,xor(t4,t7))
| and(xor(t4,t7),t2) != xor(t4,t7)
| and(t2,xor(t4,t7)) = xor(t4,t7) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t4,t7),t2),xor(t4,t7)) ),[0],$fot(and(t2,xor(t4,t7)))]]) ).
cnf(refute_0_17517,plain,
( and(xor(t4,t7),t2) != xor(t4,t7)
| and(t2,xor(t4,t7)) = xor(t4,t7) ),
inference(resolve,[$cnf( $equal(and(xor(t4,t7),t2),and(t2,xor(t4,t7))) )],[refute_0_17515,refute_0_17516]) ).
cnf(refute_0_17518,plain,
and(t2,xor(t4,t7)) = xor(t4,t7),
inference(resolve,[$cnf( $equal(and(xor(t4,t7),t2),xor(t4,t7)) )],[refute_0_17514,refute_0_17517]) ).
cnf(refute_0_17519,plain,
and(t2,xor(t4,t7)) = and(t2,xor(t4,t7)),
introduced(tautology,[refl,[$fot(and(t2,xor(t4,t7)))]]) ).
cnf(refute_0_17520,plain,
( and(t2,xor(t4,t7)) != and(t2,xor(t4,t7))
| xor(t4,t7) != xor(cin,t6)
| and(t2,xor(t4,t7)) = and(t2,xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,xor(t4,t7)),and(t2,xor(t4,t7))) ),[1,1],$fot(xor(cin,t6))]]) ).
cnf(refute_0_17521,plain,
( xor(t4,t7) != xor(cin,t6)
| and(t2,xor(t4,t7)) = and(t2,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(and(t2,xor(t4,t7)),and(t2,xor(t4,t7))) )],[refute_0_17519,refute_0_17520]) ).
cnf(refute_0_17522,plain,
and(t2,xor(t4,t7)) = and(t2,xor(cin,t6)),
inference(resolve,[$cnf( $equal(xor(t4,t7),xor(cin,t6)) )],[refute_0_2524,refute_0_17521]) ).
cnf(refute_0_17523,plain,
( and(t2,xor(t4,t7)) != and(t2,xor(cin,t6))
| and(t2,xor(t4,t7)) != xor(t4,t7)
| and(t2,xor(cin,t6)) = xor(t4,t7) ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,xor(t4,t7)),xor(t4,t7)) ),[0],$fot(and(t2,xor(cin,t6)))]]) ).
cnf(refute_0_17524,plain,
( and(t2,xor(t4,t7)) != xor(t4,t7)
| and(t2,xor(cin,t6)) = xor(t4,t7) ),
inference(resolve,[$cnf( $equal(and(t2,xor(t4,t7)),and(t2,xor(cin,t6))) )],[refute_0_17522,refute_0_17523]) ).
cnf(refute_0_17525,plain,
( and(t2,xor(cin,t6)) != xor(t4,t7)
| xor(t4,t7) != xor(cin,t6)
| and(t2,xor(cin,t6)) = xor(cin,t6) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t2,xor(cin,t6)),xor(cin,t6)) ),[0],$fot(xor(t4,t7))]]) ).
cnf(refute_0_17526,plain,
( and(t2,xor(cin,t6)) != xor(t4,t7)
| and(t2,xor(cin,t6)) = xor(cin,t6) ),
inference(resolve,[$cnf( $equal(xor(t4,t7),xor(cin,t6)) )],[refute_0_2524,refute_0_17525]) ).
cnf(refute_0_17527,plain,
( and(t2,xor(t4,t7)) != xor(t4,t7)
| and(t2,xor(cin,t6)) = xor(cin,t6) ),
inference(resolve,[$cnf( $equal(and(t2,xor(cin,t6)),xor(t4,t7)) )],[refute_0_17524,refute_0_17526]) ).
cnf(refute_0_17528,plain,
and(t2,xor(cin,t6)) = xor(cin,t6),
inference(resolve,[$cnf( $equal(and(t2,xor(t4,t7)),xor(t4,t7)) )],[refute_0_17518,refute_0_17527]) ).
cnf(refute_0_17529,plain,
( and(not(a),xor(cin,t6)) != and(t1,and(t2,xor(cin,t6)))
| and(t2,xor(cin,t6)) != xor(cin,t6)
| and(not(a),xor(cin,t6)) = and(t1,xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(a),xor(cin,t6)),and(t1,and(t2,xor(cin,t6)))) ),[1,1],$fot(xor(cin,t6))]]) ).
cnf(refute_0_17530,plain,
( and(not(a),xor(cin,t6)) != and(t1,and(t2,xor(cin,t6)))
| and(not(a),xor(cin,t6)) = and(t1,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(and(t2,xor(cin,t6)),xor(cin,t6)) )],[refute_0_17528,refute_0_17529]) ).
cnf(refute_0_17531,plain,
and(not(a),xor(cin,t6)) = and(t1,xor(cin,t6)),
inference(resolve,[$cnf( $equal(and(not(a),xor(cin,t6)),and(t1,and(t2,xor(cin,t6)))) )],[refute_0_17495,refute_0_17530]) ).
cnf(refute_0_17532,plain,
and(not(a),xor(cin,t6)) = not(or(a,or(cin,sum))),
inference(subst,[],[refute_0_12372:[bind(X_25,$fot(a))]]) ).
cnf(refute_0_17533,plain,
( and(not(a),xor(cin,t6)) != and(t1,xor(cin,t6))
| and(not(a),xor(cin,t6)) != not(or(a,or(cin,sum)))
| not(or(a,or(cin,sum))) = and(t1,xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(a),xor(cin,t6)),and(t1,xor(cin,t6))) ),[0],$fot(not(or(a,or(cin,sum))))]]) ).
cnf(refute_0_17534,plain,
( and(not(a),xor(cin,t6)) != and(t1,xor(cin,t6))
| not(or(a,or(cin,sum))) = and(t1,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(and(not(a),xor(cin,t6)),not(or(a,or(cin,sum)))) )],[refute_0_17532,refute_0_17533]) ).
cnf(refute_0_17535,plain,
not(or(a,or(cin,sum))) = and(t1,xor(cin,t6)),
inference(resolve,[$cnf( $equal(and(not(a),xor(cin,t6)),and(t1,xor(cin,t6))) )],[refute_0_17531,refute_0_17534]) ).
cnf(refute_0_17536,plain,
not(not(or(a,or(cin,sum)))) = or(a,or(cin,sum)),
inference(subst,[],[not_involution:[bind(X,$fot(or(a,or(cin,sum))))]]) ).
cnf(refute_0_17537,plain,
( not(not(or(a,or(cin,sum)))) != or(a,or(cin,sum))
| not(or(a,or(cin,sum))) != and(t1,xor(cin,t6))
| not(and(t1,xor(cin,t6))) = or(a,or(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(or(a,or(cin,sum)))),or(a,or(cin,sum))) ),[0,0],$fot(and(t1,xor(cin,t6)))]]) ).
cnf(refute_0_17538,plain,
( not(not(or(a,or(cin,sum)))) != or(a,or(cin,sum))
| not(and(t1,xor(cin,t6))) = or(a,or(cin,sum)) ),
inference(resolve,[$cnf( $equal(not(or(a,or(cin,sum))),and(t1,xor(cin,t6))) )],[refute_0_17535,refute_0_17537]) ).
cnf(refute_0_17539,plain,
not(and(t1,xor(cin,t6))) = or(a,or(cin,sum)),
inference(resolve,[$cnf( $equal(not(not(or(a,or(cin,sum)))),or(a,or(cin,sum))) )],[refute_0_17536,refute_0_17538]) ).
cnf(refute_0_17540,plain,
not(and(xor(t4,t7),not(carry))) = not(and(not(carry),xor(t4,t7))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(not(carry))),bind(X_32,$fot(xor(t4,t7)))]]) ).
cnf(refute_0_17541,plain,
and(not(carry),xor(t4,t7)) = and(t1,and(t5,xor(t4,t7))),
inference(subst,[],[refute_0_178:[bind(X_222,$fot(xor(t4,t7)))]]) ).
cnf(refute_0_17542,plain,
and(xor(t4,t7),or(t5,xor(t4,t7))) = xor(t4,t7),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(xor(t4,t7))),bind(X_20,$fot(t5))]]) ).
cnf(refute_0_17543,plain,
or(t5,and(t7,not(t4))) = t5,
inference(subst,[],[refute_0_1253:[bind(X_14,$fot(t7))]]) ).
cnf(refute_0_17544,plain,
( and(t7,not(t4)) != xor(t4,t7)
| or(t5,and(t7,not(t4))) != t5
| or(t5,xor(t4,t7)) = t5 ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,and(t7,not(t4))),t5) ),[0,1],$fot(xor(t4,t7))]]) ).
cnf(refute_0_17545,plain,
( or(t5,and(t7,not(t4))) != t5
| or(t5,xor(t4,t7)) = t5 ),
inference(resolve,[$cnf( $equal(and(t7,not(t4)),xor(t4,t7)) )],[refute_0_780,refute_0_17544]) ).
cnf(refute_0_17546,plain,
or(t5,xor(t4,t7)) = t5,
inference(resolve,[$cnf( $equal(or(t5,and(t7,not(t4))),t5) )],[refute_0_17543,refute_0_17545]) ).
cnf(refute_0_17547,plain,
( and(xor(t4,t7),or(t5,xor(t4,t7))) != xor(t4,t7)
| or(t5,xor(t4,t7)) != t5
| and(xor(t4,t7),t5) = xor(t4,t7) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t4,t7),or(t5,xor(t4,t7))),xor(t4,t7)) ),[0,1],$fot(t5)]]) ).
cnf(refute_0_17548,plain,
( and(xor(t4,t7),or(t5,xor(t4,t7))) != xor(t4,t7)
| and(xor(t4,t7),t5) = xor(t4,t7) ),
inference(resolve,[$cnf( $equal(or(t5,xor(t4,t7)),t5) )],[refute_0_17546,refute_0_17547]) ).
cnf(refute_0_17549,plain,
and(xor(t4,t7),t5) = xor(t4,t7),
inference(resolve,[$cnf( $equal(and(xor(t4,t7),or(t5,xor(t4,t7))),xor(t4,t7)) )],[refute_0_17542,refute_0_17548]) ).
cnf(refute_0_17550,plain,
and(xor(t4,t7),t5) = and(t5,xor(t4,t7)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t5)),bind(Y,$fot(xor(t4,t7)))]]) ).
cnf(refute_0_17551,plain,
( and(xor(t4,t7),t5) != and(t5,xor(t4,t7))
| and(xor(t4,t7),t5) != xor(t4,t7)
| and(t5,xor(t4,t7)) = xor(t4,t7) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t4,t7),t5),xor(t4,t7)) ),[0],$fot(and(t5,xor(t4,t7)))]]) ).
cnf(refute_0_17552,plain,
( and(xor(t4,t7),t5) != xor(t4,t7)
| and(t5,xor(t4,t7)) = xor(t4,t7) ),
inference(resolve,[$cnf( $equal(and(xor(t4,t7),t5),and(t5,xor(t4,t7))) )],[refute_0_17550,refute_0_17551]) ).
cnf(refute_0_17553,plain,
and(t5,xor(t4,t7)) = xor(t4,t7),
inference(resolve,[$cnf( $equal(and(xor(t4,t7),t5),xor(t4,t7)) )],[refute_0_17549,refute_0_17552]) ).
cnf(refute_0_17554,plain,
( and(not(carry),xor(t4,t7)) != and(t1,and(t5,xor(t4,t7)))
| and(t5,xor(t4,t7)) != xor(t4,t7)
| and(not(carry),xor(t4,t7)) = and(t1,xor(t4,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),xor(t4,t7)),and(t1,and(t5,xor(t4,t7)))) ),[1,1],$fot(xor(t4,t7))]]) ).
cnf(refute_0_17555,plain,
( and(not(carry),xor(t4,t7)) != and(t1,and(t5,xor(t4,t7)))
| and(not(carry),xor(t4,t7)) = and(t1,xor(t4,t7)) ),
inference(resolve,[$cnf( $equal(and(t5,xor(t4,t7)),xor(t4,t7)) )],[refute_0_17553,refute_0_17554]) ).
cnf(refute_0_17556,plain,
and(not(carry),xor(t4,t7)) = and(t1,xor(t4,t7)),
inference(resolve,[$cnf( $equal(and(not(carry),xor(t4,t7)),and(t1,and(t5,xor(t4,t7)))) )],[refute_0_17541,refute_0_17555]) ).
cnf(refute_0_17557,plain,
( and(not(carry),xor(t4,t7)) != and(t1,xor(t4,t7))
| not(and(xor(t4,t7),not(carry))) != not(and(not(carry),xor(t4,t7)))
| not(and(xor(t4,t7),not(carry))) = not(and(t1,xor(t4,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(xor(t4,t7),not(carry))),not(and(not(carry),xor(t4,t7)))) ),[1,0],$fot(and(t1,xor(t4,t7)))]]) ).
cnf(refute_0_17558,plain,
( not(and(xor(t4,t7),not(carry))) != not(and(not(carry),xor(t4,t7)))
| not(and(xor(t4,t7),not(carry))) = not(and(t1,xor(t4,t7))) ),
inference(resolve,[$cnf( $equal(and(not(carry),xor(t4,t7)),and(t1,xor(t4,t7))) )],[refute_0_17556,refute_0_17557]) ).
cnf(refute_0_17559,plain,
not(and(xor(t4,t7),not(carry))) = not(and(t1,xor(t4,t7))),
inference(resolve,[$cnf( $equal(not(and(xor(t4,t7),not(carry))),not(and(not(carry),xor(t4,t7)))) )],[refute_0_17540,refute_0_17558]) ).
cnf(refute_0_17560,plain,
not(and(not(carry),xor(t4,t7))) = or(carry,not(xor(t4,t7))),
inference(subst,[],[refute_0_787:[bind(X,$fot(carry)),bind(X_32,$fot(xor(t4,t7)))]]) ).
cnf(refute_0_17561,plain,
( not(and(not(carry),xor(t4,t7))) != or(carry,not(xor(t4,t7)))
| not(and(xor(t4,t7),not(carry))) != not(and(not(carry),xor(t4,t7)))
| not(and(xor(t4,t7),not(carry))) = or(carry,not(xor(t4,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(xor(t4,t7),not(carry))))),bind(Y0,$fot(not(and(not(carry),xor(t4,t7))))),bind(Z0,$fot(or(carry,not(xor(t4,t7)))))]]) ).
cnf(refute_0_17562,plain,
( not(and(not(carry),xor(t4,t7))) != or(carry,not(xor(t4,t7)))
| not(and(xor(t4,t7),not(carry))) = or(carry,not(xor(t4,t7))) ),
inference(resolve,[$cnf( $equal(not(and(xor(t4,t7),not(carry))),not(and(not(carry),xor(t4,t7)))) )],[refute_0_17540,refute_0_17561]) ).
cnf(refute_0_17563,plain,
not(and(xor(t4,t7),not(carry))) = or(carry,not(xor(t4,t7))),
inference(resolve,[$cnf( $equal(not(and(not(carry),xor(t4,t7))),or(carry,not(xor(t4,t7)))) )],[refute_0_17560,refute_0_17562]) ).
cnf(refute_0_17564,plain,
( not(and(xor(t4,t7),not(carry))) != not(and(t1,xor(t4,t7)))
| not(and(xor(t4,t7),not(carry))) != or(carry,not(xor(t4,t7)))
| or(carry,not(xor(t4,t7))) = not(and(t1,xor(t4,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(xor(t4,t7),not(carry))),not(and(t1,xor(t4,t7)))) ),[0],$fot(or(carry,not(xor(t4,t7))))]]) ).
cnf(refute_0_17565,plain,
( not(and(xor(t4,t7),not(carry))) != not(and(t1,xor(t4,t7)))
| or(carry,not(xor(t4,t7))) = not(and(t1,xor(t4,t7))) ),
inference(resolve,[$cnf( $equal(not(and(xor(t4,t7),not(carry))),or(carry,not(xor(t4,t7)))) )],[refute_0_17563,refute_0_17564]) ).
cnf(refute_0_17566,plain,
or(carry,not(xor(t4,t7))) = not(and(t1,xor(t4,t7))),
inference(resolve,[$cnf( $equal(not(and(xor(t4,t7),not(carry))),not(and(t1,xor(t4,t7)))) )],[refute_0_17559,refute_0_17565]) ).
cnf(refute_0_17567,plain,
or(carry,not(xor(t4,t7))) = or(carry,not(xor(t4,t7))),
introduced(tautology,[refl,[$fot(or(carry,not(xor(t4,t7))))]]) ).
cnf(refute_0_17568,plain,
( not(xor(t4,t7)) != or(sum,t4)
| or(carry,not(xor(t4,t7))) != or(carry,not(xor(t4,t7)))
| or(carry,not(xor(t4,t7))) = or(carry,or(sum,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(xor(t4,t7))),or(carry,not(xor(t4,t7)))) ),[1,1],$fot(or(sum,t4))]]) ).
cnf(refute_0_17569,plain,
( not(xor(t4,t7)) != or(sum,t4)
| or(carry,not(xor(t4,t7))) = or(carry,or(sum,t4)) ),
inference(resolve,[$cnf( $equal(or(carry,not(xor(t4,t7))),or(carry,not(xor(t4,t7)))) )],[refute_0_17567,refute_0_17568]) ).
cnf(refute_0_17570,plain,
or(carry,not(xor(t4,t7))) = or(carry,or(sum,t4)),
inference(resolve,[$cnf( $equal(not(xor(t4,t7)),or(sum,t4)) )],[refute_0_1173,refute_0_17569]) ).
cnf(refute_0_17571,plain,
( or(carry,not(xor(t4,t7))) != not(and(t1,xor(t4,t7)))
| or(carry,not(xor(t4,t7))) != or(carry,or(sum,t4))
| or(carry,or(sum,t4)) = not(and(t1,xor(t4,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(xor(t4,t7))),not(and(t1,xor(t4,t7)))) ),[0],$fot(or(carry,or(sum,t4)))]]) ).
cnf(refute_0_17572,plain,
( or(carry,not(xor(t4,t7))) != not(and(t1,xor(t4,t7)))
| or(carry,or(sum,t4)) = not(and(t1,xor(t4,t7))) ),
inference(resolve,[$cnf( $equal(or(carry,not(xor(t4,t7))),or(carry,or(sum,t4))) )],[refute_0_17570,refute_0_17571]) ).
cnf(refute_0_17573,plain,
or(carry,or(sum,t4)) = not(and(t1,xor(t4,t7))),
inference(resolve,[$cnf( $equal(or(carry,not(xor(t4,t7))),not(and(t1,xor(t4,t7)))) )],[refute_0_17566,refute_0_17572]) ).
cnf(refute_0_17574,plain,
or(carry,or(sum,t4)) = or(carry,or(sum,t4)),
introduced(tautology,[refl,[$fot(or(carry,or(sum,t4)))]]) ).
cnf(refute_0_17575,plain,
( or(carry,or(sum,t4)) != or(carry,or(sum,t4))
| or(sum,t4) != or(cin,sum)
| or(carry,or(sum,t4)) = or(carry,or(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,or(sum,t4)),or(carry,or(sum,t4))) ),[1,1],$fot(or(cin,sum))]]) ).
cnf(refute_0_17576,plain,
( or(sum,t4) != or(cin,sum)
| or(carry,or(sum,t4)) = or(carry,or(cin,sum)) ),
inference(resolve,[$cnf( $equal(or(carry,or(sum,t4)),or(carry,or(sum,t4))) )],[refute_0_17574,refute_0_17575]) ).
cnf(refute_0_17577,plain,
or(carry,or(sum,t4)) = or(carry,or(cin,sum)),
inference(resolve,[$cnf( $equal(or(sum,t4),or(cin,sum)) )],[refute_0_2534,refute_0_17576]) ).
cnf(refute_0_17578,plain,
( or(carry,or(sum,t4)) != not(and(t1,xor(t4,t7)))
| or(carry,or(sum,t4)) != or(carry,or(cin,sum))
| or(carry,or(cin,sum)) = not(and(t1,xor(t4,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,or(sum,t4)),not(and(t1,xor(t4,t7)))) ),[0],$fot(or(carry,or(cin,sum)))]]) ).
cnf(refute_0_17579,plain,
( or(carry,or(sum,t4)) != not(and(t1,xor(t4,t7)))
| or(carry,or(cin,sum)) = not(and(t1,xor(t4,t7))) ),
inference(resolve,[$cnf( $equal(or(carry,or(sum,t4)),or(carry,or(cin,sum))) )],[refute_0_17577,refute_0_17578]) ).
cnf(refute_0_17580,plain,
and(t1,xor(t4,t7)) = and(t1,xor(t4,t7)),
introduced(tautology,[refl,[$fot(and(t1,xor(t4,t7)))]]) ).
cnf(refute_0_17581,plain,
( and(t1,xor(t4,t7)) != and(t1,xor(t4,t7))
| xor(t4,t7) != xor(cin,t6)
| and(t1,xor(t4,t7)) = and(t1,xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,xor(t4,t7)),and(t1,xor(t4,t7))) ),[1,1],$fot(xor(cin,t6))]]) ).
cnf(refute_0_17582,plain,
( xor(t4,t7) != xor(cin,t6)
| and(t1,xor(t4,t7)) = and(t1,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(and(t1,xor(t4,t7)),and(t1,xor(t4,t7))) )],[refute_0_17580,refute_0_17581]) ).
cnf(refute_0_17583,plain,
and(t1,xor(t4,t7)) = and(t1,xor(cin,t6)),
inference(resolve,[$cnf( $equal(xor(t4,t7),xor(cin,t6)) )],[refute_0_2524,refute_0_17582]) ).
cnf(refute_0_17584,plain,
not(and(t1,xor(t4,t7))) = not(and(t1,xor(t4,t7))),
introduced(tautology,[refl,[$fot(not(and(t1,xor(t4,t7))))]]) ).
cnf(refute_0_17585,plain,
( and(t1,xor(t4,t7)) != and(t1,xor(cin,t6))
| not(and(t1,xor(t4,t7))) != not(and(t1,xor(t4,t7)))
| not(and(t1,xor(t4,t7))) = not(and(t1,xor(cin,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(t1,xor(t4,t7))),not(and(t1,xor(t4,t7)))) ),[1,0],$fot(and(t1,xor(cin,t6)))]]) ).
cnf(refute_0_17586,plain,
( and(t1,xor(t4,t7)) != and(t1,xor(cin,t6))
| not(and(t1,xor(t4,t7))) = not(and(t1,xor(cin,t6))) ),
inference(resolve,[$cnf( $equal(not(and(t1,xor(t4,t7))),not(and(t1,xor(t4,t7)))) )],[refute_0_17584,refute_0_17585]) ).
cnf(refute_0_17587,plain,
not(and(t1,xor(t4,t7))) = not(and(t1,xor(cin,t6))),
inference(resolve,[$cnf( $equal(and(t1,xor(t4,t7)),and(t1,xor(cin,t6))) )],[refute_0_17583,refute_0_17586]) ).
cnf(refute_0_17588,plain,
( not(and(t1,xor(t4,t7))) != not(and(t1,xor(cin,t6)))
| or(carry,or(cin,sum)) != not(and(t1,xor(t4,t7)))
| or(carry,or(cin,sum)) = not(and(t1,xor(cin,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,or(cin,sum)),not(and(t1,xor(t4,t7)))) ),[1],$fot(not(and(t1,xor(cin,t6))))]]) ).
cnf(refute_0_17589,plain,
( or(carry,or(cin,sum)) != not(and(t1,xor(t4,t7)))
| or(carry,or(cin,sum)) = not(and(t1,xor(cin,t6))) ),
inference(resolve,[$cnf( $equal(not(and(t1,xor(t4,t7))),not(and(t1,xor(cin,t6)))) )],[refute_0_17587,refute_0_17588]) ).
cnf(refute_0_17590,plain,
( or(carry,or(sum,t4)) != not(and(t1,xor(t4,t7)))
| or(carry,or(cin,sum)) = not(and(t1,xor(cin,t6))) ),
inference(resolve,[$cnf( $equal(or(carry,or(cin,sum)),not(and(t1,xor(t4,t7)))) )],[refute_0_17579,refute_0_17589]) ).
cnf(refute_0_17591,plain,
or(carry,or(cin,sum)) = not(and(t1,xor(cin,t6))),
inference(resolve,[$cnf( $equal(or(carry,or(sum,t4)),not(and(t1,xor(t4,t7)))) )],[refute_0_17573,refute_0_17590]) ).
cnf(refute_0_17592,plain,
( or(carry,or(cin,sum)) != not(and(t1,xor(cin,t6)))
| not(and(t1,xor(cin,t6))) = or(carry,or(cin,sum)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(carry,or(cin,sum)))),bind(Y0,$fot(not(and(t1,xor(cin,t6)))))]]) ).
cnf(refute_0_17593,plain,
not(and(t1,xor(cin,t6))) = or(carry,or(cin,sum)),
inference(resolve,[$cnf( $equal(or(carry,or(cin,sum)),not(and(t1,xor(cin,t6)))) )],[refute_0_17591,refute_0_17592]) ).
cnf(refute_0_17594,plain,
( not(and(t1,xor(cin,t6))) != or(a,or(cin,sum))
| not(and(t1,xor(cin,t6))) != or(carry,or(cin,sum))
| or(carry,or(cin,sum)) = or(a,or(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(t1,xor(cin,t6))),or(a,or(cin,sum))) ),[0],$fot(or(carry,or(cin,sum)))]]) ).
cnf(refute_0_17595,plain,
( not(and(t1,xor(cin,t6))) != or(a,or(cin,sum))
| or(carry,or(cin,sum)) = or(a,or(cin,sum)) ),
inference(resolve,[$cnf( $equal(not(and(t1,xor(cin,t6))),or(carry,or(cin,sum))) )],[refute_0_17593,refute_0_17594]) ).
cnf(refute_0_17596,plain,
or(carry,or(cin,sum)) = or(a,or(cin,sum)),
inference(resolve,[$cnf( $equal(not(and(t1,xor(cin,t6))),or(a,or(cin,sum))) )],[refute_0_17539,refute_0_17595]) ).
cnf(refute_0_17597,plain,
not(or(carry,or(cin,sum))) = not(or(carry,or(cin,sum))),
introduced(tautology,[refl,[$fot(not(or(carry,or(cin,sum))))]]) ).
cnf(refute_0_17598,plain,
( not(or(carry,or(cin,sum))) != not(or(carry,or(cin,sum)))
| or(carry,or(cin,sum)) != or(a,or(cin,sum))
| not(or(carry,or(cin,sum))) = not(or(a,or(cin,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,or(cin,sum))),not(or(carry,or(cin,sum)))) ),[1,0],$fot(or(a,or(cin,sum)))]]) ).
cnf(refute_0_17599,plain,
( or(carry,or(cin,sum)) != or(a,or(cin,sum))
| not(or(carry,or(cin,sum))) = not(or(a,or(cin,sum))) ),
inference(resolve,[$cnf( $equal(not(or(carry,or(cin,sum))),not(or(carry,or(cin,sum)))) )],[refute_0_17597,refute_0_17598]) ).
cnf(refute_0_17600,plain,
not(or(carry,or(cin,sum))) = not(or(a,or(cin,sum))),
inference(resolve,[$cnf( $equal(or(carry,or(cin,sum)),or(a,or(cin,sum))) )],[refute_0_17596,refute_0_17599]) ).
cnf(refute_0_17601,plain,
( not(or(a,or(cin,sum))) != and(t1,xor(cin,t6))
| not(or(carry,or(cin,sum))) != not(or(a,or(cin,sum)))
| not(or(carry,or(cin,sum))) = and(t1,xor(cin,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(carry,or(cin,sum))))),bind(Y0,$fot(not(or(a,or(cin,sum))))),bind(Z0,$fot(and(t1,xor(cin,t6))))]]) ).
cnf(refute_0_17602,plain,
( not(or(a,or(cin,sum))) != and(t1,xor(cin,t6))
| not(or(carry,or(cin,sum))) = and(t1,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(not(or(carry,or(cin,sum))),not(or(a,or(cin,sum)))) )],[refute_0_17600,refute_0_17601]) ).
cnf(refute_0_17603,plain,
not(or(carry,or(cin,sum))) = and(t1,xor(cin,t6)),
inference(resolve,[$cnf( $equal(not(or(a,or(cin,sum))),and(t1,xor(cin,t6))) )],[refute_0_17535,refute_0_17602]) ).
cnf(refute_0_17604,plain,
not(or(carry,or(sum,cin))) = not(or(carry,or(cin,sum))),
inference(subst,[],[refute_0_12706:[bind(X,$fot(carry)),bind(X_27,$fot(sum)),bind(X_28,$fot(cin))]]) ).
cnf(refute_0_17605,plain,
not(or(cin,or(carry,sum))) = not(or(carry,or(sum,cin))),
inference(subst,[],[refute_0_2912:[bind(X_26,$fot(cin)),bind(X_37,$fot(carry)),bind(X_38,$fot(sum))]]) ).
cnf(refute_0_17606,plain,
( not(or(carry,or(sum,cin))) != not(or(carry,or(cin,sum)))
| not(or(cin,or(carry,sum))) != not(or(carry,or(sum,cin)))
| not(or(cin,or(carry,sum))) = not(or(carry,or(cin,sum))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(cin,or(carry,sum))))),bind(Y0,$fot(not(or(carry,or(sum,cin))))),bind(Z0,$fot(not(or(carry,or(cin,sum)))))]]) ).
cnf(refute_0_17607,plain,
( not(or(carry,or(sum,cin))) != not(or(carry,or(cin,sum)))
| not(or(cin,or(carry,sum))) = not(or(carry,or(cin,sum))) ),
inference(resolve,[$cnf( $equal(not(or(cin,or(carry,sum))),not(or(carry,or(sum,cin)))) )],[refute_0_17605,refute_0_17606]) ).
cnf(refute_0_17608,plain,
not(or(cin,or(carry,sum))) = not(or(carry,or(cin,sum))),
inference(resolve,[$cnf( $equal(not(or(carry,or(sum,cin))),not(or(carry,or(cin,sum)))) )],[refute_0_17604,refute_0_17607]) ).
cnf(refute_0_17609,plain,
and(not(cin),not(or(carry,sum))) = not(or(cin,or(carry,sum))),
inference(subst,[],[refute_0_101:[bind(X,$fot(cin)),bind(Y,$fot(or(carry,sum)))]]) ).
cnf(refute_0_17610,plain,
( and(not(cin),not(or(carry,sum))) != not(or(cin,or(carry,sum)))
| not(or(cin,or(carry,sum))) != not(or(carry,or(cin,sum)))
| and(not(cin),not(or(carry,sum))) = not(or(carry,or(cin,sum))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(cin),not(or(carry,sum))))),bind(Y0,$fot(not(or(cin,or(carry,sum))))),bind(Z0,$fot(not(or(carry,or(cin,sum)))))]]) ).
cnf(refute_0_17611,plain,
( not(or(cin,or(carry,sum))) != not(or(carry,or(cin,sum)))
| and(not(cin),not(or(carry,sum))) = not(or(carry,or(cin,sum))) ),
inference(resolve,[$cnf( $equal(and(not(cin),not(or(carry,sum))),not(or(cin,or(carry,sum)))) )],[refute_0_17609,refute_0_17610]) ).
cnf(refute_0_17612,plain,
and(not(cin),not(or(carry,sum))) = not(or(carry,or(cin,sum))),
inference(resolve,[$cnf( $equal(not(or(cin,or(carry,sum))),not(or(carry,or(cin,sum)))) )],[refute_0_17608,refute_0_17611]) ).
cnf(refute_0_17613,plain,
( and(not(cin),not(or(carry,sum))) != not(or(carry,or(cin,sum)))
| not(or(carry,or(cin,sum))) != and(t1,xor(cin,t6))
| and(not(cin),not(or(carry,sum))) = and(t1,xor(cin,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(cin),not(or(carry,sum))))),bind(Y0,$fot(not(or(carry,or(cin,sum))))),bind(Z0,$fot(and(t1,xor(cin,t6))))]]) ).
cnf(refute_0_17614,plain,
( not(or(carry,or(cin,sum))) != and(t1,xor(cin,t6))
| and(not(cin),not(or(carry,sum))) = and(t1,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(and(not(cin),not(or(carry,sum))),not(or(carry,or(cin,sum)))) )],[refute_0_17612,refute_0_17613]) ).
cnf(refute_0_17615,plain,
and(not(cin),not(or(carry,sum))) = and(t1,xor(cin,t6)),
inference(resolve,[$cnf( $equal(not(or(carry,or(cin,sum))),and(t1,xor(cin,t6))) )],[refute_0_17603,refute_0_17614]) ).
cnf(refute_0_17616,plain,
and(t1,and(not(cin),not(or(carry,sum)))) = and(t1,and(not(cin),not(or(carry,sum)))),
introduced(tautology,[refl,[$fot(and(t1,and(not(cin),not(or(carry,sum)))))]]) ).
cnf(refute_0_17617,plain,
( and(not(cin),not(or(carry,sum))) != and(t1,xor(cin,t6))
| and(t1,and(not(cin),not(or(carry,sum)))) != and(t1,and(not(cin),not(or(carry,sum))))
| and(t1,and(not(cin),not(or(carry,sum)))) = and(t1,and(t1,xor(cin,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,and(not(cin),not(or(carry,sum)))),and(t1,and(not(cin),not(or(carry,sum))))) ),[1,1],$fot(and(t1,xor(cin,t6)))]]) ).
cnf(refute_0_17618,plain,
( and(not(cin),not(or(carry,sum))) != and(t1,xor(cin,t6))
| and(t1,and(not(cin),not(or(carry,sum)))) = and(t1,and(t1,xor(cin,t6))) ),
inference(resolve,[$cnf( $equal(and(t1,and(not(cin),not(or(carry,sum)))),and(t1,and(not(cin),not(or(carry,sum))))) )],[refute_0_17616,refute_0_17617]) ).
cnf(refute_0_17619,plain,
and(t1,and(not(cin),not(or(carry,sum)))) = and(t1,and(t1,xor(cin,t6))),
inference(resolve,[$cnf( $equal(and(not(cin),not(or(carry,sum))),and(t1,xor(cin,t6))) )],[refute_0_17615,refute_0_17618]) ).
cnf(refute_0_17620,plain,
( and(t1,and(not(cin),not(or(carry,sum)))) != and(t1,and(t1,xor(cin,t6)))
| and(t1,and(t1,xor(cin,t6))) != and(t1,xor(cin,t6))
| and(t1,and(not(cin),not(or(carry,sum)))) = and(t1,xor(cin,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t1,and(not(cin),not(or(carry,sum)))))),bind(Y0,$fot(and(t1,and(t1,xor(cin,t6))))),bind(Z0,$fot(and(t1,xor(cin,t6))))]]) ).
cnf(refute_0_17621,plain,
( and(t1,and(t1,xor(cin,t6))) != and(t1,xor(cin,t6))
| and(t1,and(not(cin),not(or(carry,sum)))) = and(t1,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(and(t1,and(not(cin),not(or(carry,sum)))),and(t1,and(t1,xor(cin,t6)))) )],[refute_0_17619,refute_0_17620]) ).
cnf(refute_0_17622,plain,
and(t1,and(not(cin),not(or(carry,sum)))) = and(t1,xor(cin,t6)),
inference(resolve,[$cnf( $equal(and(t1,and(t1,xor(cin,t6))),and(t1,xor(cin,t6))) )],[refute_0_17494,refute_0_17621]) ).
cnf(refute_0_17623,plain,
and(not(or(carry,cin)),not(or(carry,sum))) = and(t1,and(not(cin),not(or(carry,sum)))),
inference(subst,[],[refute_0_16161:[bind(Z,$fot(not(or(carry,sum))))]]) ).
cnf(refute_0_17624,plain,
( and(not(or(carry,cin)),not(or(carry,sum))) != and(t1,and(not(cin),not(or(carry,sum))))
| and(t1,and(not(cin),not(or(carry,sum)))) != and(t1,xor(cin,t6))
| and(not(or(carry,cin)),not(or(carry,sum))) = and(t1,xor(cin,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(or(carry,cin)),not(or(carry,sum))))),bind(Y0,$fot(and(t1,and(not(cin),not(or(carry,sum)))))),bind(Z0,$fot(and(t1,xor(cin,t6))))]]) ).
cnf(refute_0_17625,plain,
( and(t1,and(not(cin),not(or(carry,sum)))) != and(t1,xor(cin,t6))
| and(not(or(carry,cin)),not(or(carry,sum))) = and(t1,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(and(not(or(carry,cin)),not(or(carry,sum))),and(t1,and(not(cin),not(or(carry,sum))))) )],[refute_0_17623,refute_0_17624]) ).
cnf(refute_0_17626,plain,
and(not(or(carry,cin)),not(or(carry,sum))) = and(t1,xor(cin,t6)),
inference(resolve,[$cnf( $equal(and(t1,and(not(cin),not(or(carry,sum)))),and(t1,xor(cin,t6))) )],[refute_0_17622,refute_0_17625]) ).
cnf(refute_0_17627,plain,
( and(not(or(carry,cin)),not(or(carry,sum))) != and(not(or(carry,cin)),t6)
| and(not(or(carry,cin)),not(or(carry,sum))) != and(t1,xor(cin,t6))
| and(t1,xor(cin,t6)) = and(not(or(carry,cin)),t6) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(or(carry,cin)),not(or(carry,sum))),and(not(or(carry,cin)),t6)) ),[0],$fot(and(t1,xor(cin,t6)))]]) ).
cnf(refute_0_17628,plain,
( and(not(or(carry,cin)),not(or(carry,sum))) != and(not(or(carry,cin)),t6)
| and(t1,xor(cin,t6)) = and(not(or(carry,cin)),t6) ),
inference(resolve,[$cnf( $equal(and(not(or(carry,cin)),not(or(carry,sum))),and(t1,xor(cin,t6))) )],[refute_0_17626,refute_0_17627]) ).
cnf(refute_0_17629,plain,
and(not(or(carry,cin)),t6) = and(t1,and(not(cin),t6)),
inference(subst,[],[refute_0_16161:[bind(Z,$fot(t6))]]) ).
cnf(refute_0_17630,plain,
( and(not(or(carry,cin)),t6) != and(t1,and(not(cin),t6))
| and(t1,and(not(cin),t6)) != not(or(cin,xor(carry,t4)))
| and(not(or(carry,cin)),t6) = not(or(cin,xor(carry,t4))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(or(carry,cin)),t6))),bind(Y0,$fot(and(t1,and(not(cin),t6)))),bind(Z0,$fot(not(or(cin,xor(carry,t4)))))]]) ).
cnf(refute_0_17631,plain,
( and(t1,and(not(cin),t6)) != not(or(cin,xor(carry,t4)))
| and(not(or(carry,cin)),t6) = not(or(cin,xor(carry,t4))) ),
inference(resolve,[$cnf( $equal(and(not(or(carry,cin)),t6),and(t1,and(not(cin),t6))) )],[refute_0_17629,refute_0_17630]) ).
cnf(refute_0_17632,plain,
and(not(or(carry,cin)),t6) = not(or(cin,xor(carry,t4))),
inference(resolve,[$cnf( $equal(and(t1,and(not(cin),t6)),not(or(cin,xor(carry,t4)))) )],[refute_0_17445,refute_0_17631]) ).
cnf(refute_0_17633,plain,
( and(not(or(carry,cin)),t6) != not(or(cin,xor(carry,t4)))
| and(t1,xor(cin,t6)) != and(not(or(carry,cin)),t6)
| and(t1,xor(cin,t6)) = not(or(cin,xor(carry,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,xor(cin,t6)),and(not(or(carry,cin)),t6)) ),[1],$fot(not(or(cin,xor(carry,t4))))]]) ).
cnf(refute_0_17634,plain,
( and(t1,xor(cin,t6)) != and(not(or(carry,cin)),t6)
| and(t1,xor(cin,t6)) = not(or(cin,xor(carry,t4))) ),
inference(resolve,[$cnf( $equal(and(not(or(carry,cin)),t6),not(or(cin,xor(carry,t4)))) )],[refute_0_17632,refute_0_17633]) ).
cnf(refute_0_17635,plain,
( and(not(or(carry,cin)),not(or(carry,sum))) != and(not(or(carry,cin)),t6)
| and(t1,xor(cin,t6)) = not(or(cin,xor(carry,t4))) ),
inference(resolve,[$cnf( $equal(and(t1,xor(cin,t6)),and(not(or(carry,cin)),t6)) )],[refute_0_17628,refute_0_17634]) ).
cnf(refute_0_17636,plain,
and(t1,xor(cin,t6)) = not(or(cin,xor(carry,t4))),
inference(resolve,[$cnf( $equal(and(not(or(carry,cin)),not(or(carry,sum))),and(not(or(carry,cin)),t6)) )],[refute_0_17493,refute_0_17635]) ).
cnf(refute_0_17637,plain,
and(not(or(carry,cin)),t6) = and(t6,not(or(carry,cin))),
inference(subst,[],[and_commutative:[bind(X,$fot(not(or(carry,cin)))),bind(Y,$fot(t6))]]) ).
cnf(refute_0_17638,plain,
( and(not(or(carry,cin)),t6) != and(t6,not(or(carry,cin)))
| and(t6,not(or(carry,cin))) != not(or(carry,sum))
| and(not(or(carry,cin)),t6) = not(or(carry,sum)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(or(carry,cin)),t6),not(or(carry,sum))) ),[0],$fot(and(t6,not(or(carry,cin))))]]) ).
cnf(refute_0_17639,plain,
( and(not(or(carry,cin)),t6) != and(t6,not(or(carry,cin)))
| and(not(or(carry,cin)),t6) = not(or(carry,sum)) ),
inference(resolve,[$cnf( $equal(and(t6,not(or(carry,cin))),not(or(carry,sum))) )],[refute_0_15846,refute_0_17638]) ).
cnf(refute_0_17640,plain,
and(not(or(carry,cin)),t6) = not(or(carry,sum)),
inference(resolve,[$cnf( $equal(and(not(or(carry,cin)),t6),and(t6,not(or(carry,cin)))) )],[refute_0_17637,refute_0_17639]) ).
cnf(refute_0_17641,plain,
( and(t1,xor(cin,t6)) != not(or(cin,xor(carry,t4)))
| not(or(cin,xor(carry,t4))) = and(t1,xor(cin,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t1,xor(cin,t6)))),bind(Y0,$fot(not(or(cin,xor(carry,t4)))))]]) ).
cnf(refute_0_17642,plain,
not(or(cin,xor(carry,t4))) = and(t1,xor(cin,t6)),
inference(resolve,[$cnf( $equal(and(t1,xor(cin,t6)),not(or(cin,xor(carry,t4)))) )],[refute_0_17636,refute_0_17641]) ).
cnf(refute_0_17643,plain,
( not(or(cin,xor(carry,t4))) != and(t1,xor(cin,t6))
| not(or(xor(carry,t4),cin)) != not(or(cin,xor(carry,t4)))
| not(or(xor(carry,t4),cin)) = and(t1,xor(cin,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(xor(carry,t4),cin)))),bind(Y0,$fot(not(or(cin,xor(carry,t4))))),bind(Z0,$fot(and(t1,xor(cin,t6))))]]) ).
cnf(refute_0_17644,plain,
( not(or(cin,xor(carry,t4))) != and(t1,xor(cin,t6))
| not(or(xor(carry,t4),cin)) = and(t1,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(not(or(xor(carry,t4),cin)),not(or(cin,xor(carry,t4)))) )],[refute_0_17437,refute_0_17643]) ).
cnf(refute_0_17645,plain,
not(or(xor(carry,t4),cin)) = and(t1,xor(cin,t6)),
inference(resolve,[$cnf( $equal(not(or(cin,xor(carry,t4))),and(t1,xor(cin,t6))) )],[refute_0_17642,refute_0_17644]) ).
cnf(refute_0_17646,plain,
( and(t1,and(t6,not(cin))) != not(or(xor(carry,t4),cin))
| not(or(xor(carry,t4),cin)) != and(t1,xor(cin,t6))
| and(t1,and(t6,not(cin))) = and(t1,xor(cin,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t1,and(t6,not(cin))))),bind(Y0,$fot(not(or(xor(carry,t4),cin)))),bind(Z0,$fot(and(t1,xor(cin,t6))))]]) ).
cnf(refute_0_17647,plain,
( not(or(xor(carry,t4),cin)) != and(t1,xor(cin,t6))
| and(t1,and(t6,not(cin))) = and(t1,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(and(t1,and(t6,not(cin))),not(or(xor(carry,t4),cin))) )],[refute_0_17438,refute_0_17646]) ).
cnf(refute_0_17648,plain,
and(t1,and(t6,not(cin))) = and(t1,xor(cin,t6)),
inference(resolve,[$cnf( $equal(not(or(xor(carry,t4),cin)),and(t1,xor(cin,t6))) )],[refute_0_17645,refute_0_17647]) ).
cnf(refute_0_17649,plain,
( and(t1,and(not(cin),t6)) != and(t1,and(t6,not(cin)))
| and(t1,and(t6,not(cin))) != and(t1,xor(cin,t6))
| and(t1,and(not(cin),t6)) = and(t1,xor(cin,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t1,and(not(cin),t6)))),bind(Y0,$fot(and(t1,and(t6,not(cin))))),bind(Z0,$fot(and(t1,xor(cin,t6))))]]) ).
cnf(refute_0_17650,plain,
( and(t1,and(t6,not(cin))) != and(t1,xor(cin,t6))
| and(t1,and(not(cin),t6)) = and(t1,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(and(t1,and(not(cin),t6)),and(t1,and(t6,not(cin)))) )],[refute_0_17442,refute_0_17649]) ).
cnf(refute_0_17651,plain,
and(t1,and(not(cin),t6)) = and(t1,xor(cin,t6)),
inference(resolve,[$cnf( $equal(and(t1,and(t6,not(cin))),and(t1,xor(cin,t6))) )],[refute_0_17648,refute_0_17650]) ).
cnf(refute_0_17652,plain,
( and(not(or(carry,cin)),t6) != and(t1,and(not(cin),t6))
| and(t1,and(not(cin),t6)) != and(t1,xor(cin,t6))
| and(not(or(carry,cin)),t6) = and(t1,xor(cin,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(or(carry,cin)),t6))),bind(Y0,$fot(and(t1,and(not(cin),t6)))),bind(Z0,$fot(and(t1,xor(cin,t6))))]]) ).
cnf(refute_0_17653,plain,
( and(t1,and(not(cin),t6)) != and(t1,xor(cin,t6))
| and(not(or(carry,cin)),t6) = and(t1,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(and(not(or(carry,cin)),t6),and(t1,and(not(cin),t6))) )],[refute_0_17629,refute_0_17652]) ).
cnf(refute_0_17654,plain,
and(not(or(carry,cin)),t6) = and(t1,xor(cin,t6)),
inference(resolve,[$cnf( $equal(and(t1,and(not(cin),t6)),and(t1,xor(cin,t6))) )],[refute_0_17651,refute_0_17653]) ).
cnf(refute_0_17655,plain,
( and(not(or(carry,cin)),t6) != and(t1,xor(cin,t6))
| and(not(or(carry,cin)),t6) != not(or(carry,sum))
| and(t1,xor(cin,t6)) = not(or(carry,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(or(carry,cin)),t6),not(or(carry,sum))) ),[0],$fot(and(t1,xor(cin,t6)))]]) ).
cnf(refute_0_17656,plain,
( and(not(or(carry,cin)),t6) != not(or(carry,sum))
| and(t1,xor(cin,t6)) = not(or(carry,sum)) ),
inference(resolve,[$cnf( $equal(and(not(or(carry,cin)),t6),and(t1,xor(cin,t6))) )],[refute_0_17654,refute_0_17655]) ).
cnf(refute_0_17657,plain,
and(t1,xor(cin,t6)) = not(or(carry,sum)),
inference(resolve,[$cnf( $equal(and(not(or(carry,cin)),t6),not(or(carry,sum))) )],[refute_0_17640,refute_0_17656]) ).
cnf(refute_0_17658,plain,
( and(t1,xor(cin,t6)) != not(or(carry,sum))
| and(t1,xor(cin,t6)) != not(or(cin,xor(carry,t4)))
| not(or(carry,sum)) = not(or(cin,xor(carry,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,xor(cin,t6)),not(or(cin,xor(carry,t4)))) ),[0],$fot(not(or(carry,sum)))]]) ).
cnf(refute_0_17659,plain,
( and(t1,xor(cin,t6)) != not(or(cin,xor(carry,t4)))
| not(or(carry,sum)) = not(or(cin,xor(carry,t4))) ),
inference(resolve,[$cnf( $equal(and(t1,xor(cin,t6)),not(or(carry,sum))) )],[refute_0_17657,refute_0_17658]) ).
cnf(refute_0_17660,plain,
not(or(carry,sum)) = not(or(cin,xor(carry,t4))),
inference(resolve,[$cnf( $equal(and(t1,xor(cin,t6)),not(or(cin,xor(carry,t4)))) )],[refute_0_17636,refute_0_17659]) ).
cnf(refute_0_17661,plain,
( not(or(carry,sum)) != not(or(cin,xor(carry,t4)))
| not(or(cin,xor(carry,t4))) = not(or(carry,sum)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(carry,sum)))),bind(Y0,$fot(not(or(cin,xor(carry,t4)))))]]) ).
cnf(refute_0_17662,plain,
not(or(cin,xor(carry,t4))) = not(or(carry,sum)),
inference(resolve,[$cnf( $equal(not(or(carry,sum)),not(or(cin,xor(carry,t4)))) )],[refute_0_17660,refute_0_17661]) ).
cnf(refute_0_17663,plain,
or(sum,not(or(cin,xor(carry,t4)))) = or(sum,not(or(cin,xor(carry,t4)))),
introduced(tautology,[refl,[$fot(or(sum,not(or(cin,xor(carry,t4)))))]]) ).
cnf(refute_0_17664,plain,
( not(or(cin,xor(carry,t4))) != not(or(carry,sum))
| or(sum,not(or(cin,xor(carry,t4)))) != or(sum,not(or(cin,xor(carry,t4))))
| or(sum,not(or(cin,xor(carry,t4)))) = or(sum,not(or(carry,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(or(sum,not(or(cin,xor(carry,t4)))),or(sum,not(or(cin,xor(carry,t4))))) ),[1,1],$fot(not(or(carry,sum)))]]) ).
cnf(refute_0_17665,plain,
( not(or(cin,xor(carry,t4))) != not(or(carry,sum))
| or(sum,not(or(cin,xor(carry,t4)))) = or(sum,not(or(carry,sum))) ),
inference(resolve,[$cnf( $equal(or(sum,not(or(cin,xor(carry,t4)))),or(sum,not(or(cin,xor(carry,t4))))) )],[refute_0_17663,refute_0_17664]) ).
cnf(refute_0_17666,plain,
or(sum,not(or(cin,xor(carry,t4)))) = or(sum,not(or(carry,sum))),
inference(resolve,[$cnf( $equal(not(or(cin,xor(carry,t4))),not(or(carry,sum))) )],[refute_0_17662,refute_0_17665]) ).
cnf(refute_0_17667,plain,
( or(sum,not(or(cin,xor(carry,t4)))) != not(xor(sum,or(cin,xor(carry,t4))))
| or(sum,not(or(cin,xor(carry,t4)))) != or(sum,not(or(carry,sum)))
| or(sum,not(or(carry,sum))) = not(xor(sum,or(cin,xor(carry,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(sum,not(or(cin,xor(carry,t4)))),not(xor(sum,or(cin,xor(carry,t4))))) ),[0],$fot(or(sum,not(or(carry,sum))))]]) ).
cnf(refute_0_17668,plain,
( or(sum,not(or(cin,xor(carry,t4)))) != not(xor(sum,or(cin,xor(carry,t4))))
| or(sum,not(or(carry,sum))) = not(xor(sum,or(cin,xor(carry,t4)))) ),
inference(resolve,[$cnf( $equal(or(sum,not(or(cin,xor(carry,t4)))),or(sum,not(or(carry,sum)))) )],[refute_0_17666,refute_0_17667]) ).
cnf(refute_0_17669,plain,
or(sum,not(or(carry,sum))) = not(xor(sum,or(cin,xor(carry,t4)))),
inference(resolve,[$cnf( $equal(or(sum,not(or(cin,xor(carry,t4)))),not(xor(sum,or(cin,xor(carry,t4))))) )],[refute_0_17489,refute_0_17668]) ).
cnf(refute_0_17670,plain,
not(not(or(cin,xor(carry,t4)))) = or(cin,xor(carry,t4)),
inference(subst,[],[not_involution:[bind(X,$fot(or(cin,xor(carry,t4))))]]) ).
cnf(refute_0_17671,plain,
( not(not(or(cin,xor(carry,t4)))) != or(cin,xor(carry,t4))
| not(or(cin,xor(carry,t4))) != not(or(carry,sum))
| not(not(or(carry,sum))) = or(cin,xor(carry,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(or(cin,xor(carry,t4)))),or(cin,xor(carry,t4))) ),[0,0],$fot(not(or(carry,sum)))]]) ).
cnf(refute_0_17672,plain,
( not(not(or(cin,xor(carry,t4)))) != or(cin,xor(carry,t4))
| not(not(or(carry,sum))) = or(cin,xor(carry,t4)) ),
inference(resolve,[$cnf( $equal(not(or(cin,xor(carry,t4))),not(or(carry,sum))) )],[refute_0_17662,refute_0_17671]) ).
cnf(refute_0_17673,plain,
not(not(or(carry,sum))) = or(cin,xor(carry,t4)),
inference(resolve,[$cnf( $equal(not(not(or(cin,xor(carry,t4)))),or(cin,xor(carry,t4))) )],[refute_0_17670,refute_0_17672]) ).
cnf(refute_0_17674,plain,
( not(not(or(carry,sum))) != or(carry,sum)
| not(not(or(carry,sum))) != or(cin,xor(carry,t4))
| or(carry,sum) = or(cin,xor(carry,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(or(carry,sum))),or(cin,xor(carry,t4))) ),[0],$fot(or(carry,sum))]]) ).
cnf(refute_0_17675,plain,
( not(not(or(carry,sum))) != or(cin,xor(carry,t4))
| or(carry,sum) = or(cin,xor(carry,t4)) ),
inference(resolve,[$cnf( $equal(not(not(or(carry,sum))),or(carry,sum)) )],[refute_0_15850,refute_0_17674]) ).
cnf(refute_0_17676,plain,
or(carry,sum) = or(cin,xor(carry,t4)),
inference(resolve,[$cnf( $equal(not(not(or(carry,sum))),or(cin,xor(carry,t4))) )],[refute_0_17673,refute_0_17675]) ).
cnf(refute_0_17677,plain,
( or(carry,sum) != or(cin,xor(carry,t4))
| or(cin,xor(carry,t4)) = or(carry,sum) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(carry,sum))),bind(Y0,$fot(or(cin,xor(carry,t4))))]]) ).
cnf(refute_0_17678,plain,
or(cin,xor(carry,t4)) = or(carry,sum),
inference(resolve,[$cnf( $equal(or(carry,sum),or(cin,xor(carry,t4))) )],[refute_0_17676,refute_0_17677]) ).
cnf(refute_0_17679,plain,
xor(sum,or(cin,xor(carry,t4))) = xor(sum,or(cin,xor(carry,t4))),
introduced(tautology,[refl,[$fot(xor(sum,or(cin,xor(carry,t4))))]]) ).
cnf(refute_0_17680,plain,
( or(cin,xor(carry,t4)) != or(carry,sum)
| xor(sum,or(cin,xor(carry,t4))) != xor(sum,or(cin,xor(carry,t4)))
| xor(sum,or(cin,xor(carry,t4))) = xor(sum,or(carry,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,or(cin,xor(carry,t4))),xor(sum,or(cin,xor(carry,t4)))) ),[1,1],$fot(or(carry,sum))]]) ).
cnf(refute_0_17681,plain,
( or(cin,xor(carry,t4)) != or(carry,sum)
| xor(sum,or(cin,xor(carry,t4))) = xor(sum,or(carry,sum)) ),
inference(resolve,[$cnf( $equal(xor(sum,or(cin,xor(carry,t4))),xor(sum,or(cin,xor(carry,t4)))) )],[refute_0_17679,refute_0_17680]) ).
cnf(refute_0_17682,plain,
xor(sum,or(cin,xor(carry,t4))) = xor(sum,or(carry,sum)),
inference(resolve,[$cnf( $equal(or(cin,xor(carry,t4)),or(carry,sum)) )],[refute_0_17678,refute_0_17681]) ).
cnf(refute_0_17683,plain,
not(xor(sum,or(cin,xor(carry,t4)))) = not(xor(sum,or(cin,xor(carry,t4)))),
introduced(tautology,[refl,[$fot(not(xor(sum,or(cin,xor(carry,t4)))))]]) ).
cnf(refute_0_17684,plain,
( not(xor(sum,or(cin,xor(carry,t4)))) != not(xor(sum,or(cin,xor(carry,t4))))
| xor(sum,or(cin,xor(carry,t4))) != xor(sum,or(carry,sum))
| not(xor(sum,or(cin,xor(carry,t4)))) = not(xor(sum,or(carry,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(sum,or(cin,xor(carry,t4)))),not(xor(sum,or(cin,xor(carry,t4))))) ),[1,0],$fot(xor(sum,or(carry,sum)))]]) ).
cnf(refute_0_17685,plain,
( xor(sum,or(cin,xor(carry,t4))) != xor(sum,or(carry,sum))
| not(xor(sum,or(cin,xor(carry,t4)))) = not(xor(sum,or(carry,sum))) ),
inference(resolve,[$cnf( $equal(not(xor(sum,or(cin,xor(carry,t4)))),not(xor(sum,or(cin,xor(carry,t4))))) )],[refute_0_17683,refute_0_17684]) ).
cnf(refute_0_17686,plain,
not(xor(sum,or(cin,xor(carry,t4)))) = not(xor(sum,or(carry,sum))),
inference(resolve,[$cnf( $equal(xor(sum,or(cin,xor(carry,t4))),xor(sum,or(carry,sum))) )],[refute_0_17682,refute_0_17685]) ).
cnf(refute_0_17687,plain,
( not(xor(sum,or(cin,xor(carry,t4)))) != not(xor(sum,or(carry,sum)))
| or(sum,not(or(carry,sum))) != not(xor(sum,or(cin,xor(carry,t4))))
| or(sum,not(or(carry,sum))) = not(xor(sum,or(carry,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(or(sum,not(or(carry,sum))),not(xor(sum,or(cin,xor(carry,t4))))) ),[1],$fot(not(xor(sum,or(carry,sum))))]]) ).
cnf(refute_0_17688,plain,
( or(sum,not(or(carry,sum))) != not(xor(sum,or(cin,xor(carry,t4))))
| or(sum,not(or(carry,sum))) = not(xor(sum,or(carry,sum))) ),
inference(resolve,[$cnf( $equal(not(xor(sum,or(cin,xor(carry,t4)))),not(xor(sum,or(carry,sum)))) )],[refute_0_17686,refute_0_17687]) ).
cnf(refute_0_17689,plain,
or(sum,not(or(carry,sum))) = not(xor(sum,or(carry,sum))),
inference(resolve,[$cnf( $equal(or(sum,not(or(carry,sum))),not(xor(sum,or(cin,xor(carry,t4))))) )],[refute_0_17669,refute_0_17688]) ).
cnf(refute_0_17690,plain,
( not(xor(sum,or(carry,sum))) != xor(t1,and(carry_def,cin))
| or(sum,not(or(carry,sum))) != not(xor(sum,or(carry,sum)))
| or(sum,not(or(carry,sum))) = xor(t1,and(carry_def,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(or(sum,not(or(carry,sum))),not(xor(sum,or(carry,sum)))) ),[1],$fot(xor(t1,and(carry_def,cin)))]]) ).
cnf(refute_0_17691,plain,
( or(sum,not(or(carry,sum))) != not(xor(sum,or(carry,sum)))
| or(sum,not(or(carry,sum))) = xor(t1,and(carry_def,cin)) ),
inference(resolve,[$cnf( $equal(not(xor(sum,or(carry,sum))),xor(t1,and(carry_def,cin))) )],[refute_0_17167,refute_0_17690]) ).
cnf(refute_0_17692,plain,
or(sum,not(or(carry,sum))) = xor(t1,and(carry_def,cin)),
inference(resolve,[$cnf( $equal(or(sum,not(or(carry,sum))),not(xor(sum,or(carry,sum)))) )],[refute_0_17689,refute_0_17691]) ).
cnf(refute_0_17693,plain,
( or(sum,not(or(carry,sum))) != xor(t1,and(carry_def,cin))
| xor(t1,and(carry_def,cin)) != xor(carry,or(t1,t7))
| or(sum,not(or(carry,sum))) = xor(carry,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(sum,not(or(carry,sum))),xor(carry,or(t1,t7))) ),[0],$fot(xor(t1,and(carry_def,cin)))]]) ).
cnf(refute_0_17694,plain,
( or(sum,not(or(carry,sum))) != xor(t1,and(carry_def,cin))
| or(sum,not(or(carry,sum))) = xor(carry,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(xor(t1,and(carry_def,cin)),xor(carry,or(t1,t7))) )],[refute_0_16965,refute_0_17693]) ).
cnf(refute_0_17695,plain,
or(sum,not(or(carry,sum))) = xor(carry,or(t1,t7)),
inference(resolve,[$cnf( $equal(or(sum,not(or(carry,sum))),xor(t1,and(carry_def,cin))) )],[refute_0_17692,refute_0_17694]) ).
cnf(refute_0_17696,plain,
( not(or(not(or(carry,sum)),sum)) != not(or(sum,not(or(carry,sum))))
| or(sum,not(or(carry,sum))) != xor(carry,or(t1,t7))
| not(or(not(or(carry,sum)),sum)) = not(xor(carry,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(or(carry,sum)),sum)),not(or(sum,not(or(carry,sum))))) ),[1,0],$fot(xor(carry,or(t1,t7)))]]) ).
cnf(refute_0_17697,plain,
( not(or(not(or(carry,sum)),sum)) != not(or(sum,not(or(carry,sum))))
| not(or(not(or(carry,sum)),sum)) = not(xor(carry,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(or(sum,not(or(carry,sum))),xor(carry,or(t1,t7))) )],[refute_0_17695,refute_0_17696]) ).
cnf(refute_0_17698,plain,
not(or(not(or(carry,sum)),sum)) = not(xor(carry,or(t1,t7))),
inference(resolve,[$cnf( $equal(not(or(not(or(carry,sum)),sum)),not(or(sum,not(or(carry,sum))))) )],[refute_0_17171,refute_0_17697]) ).
cnf(refute_0_17699,plain,
and(not(sum),or(cin,xor(carry,t4))) = and(not(sum),or(cin,xor(carry,t4))),
introduced(tautology,[refl,[$fot(and(not(sum),or(cin,xor(carry,t4))))]]) ).
cnf(refute_0_17700,plain,
( and(not(sum),or(cin,xor(carry,t4))) != and(not(sum),or(cin,xor(carry,t4)))
| or(cin,xor(carry,t4)) != or(carry,sum)
| and(not(sum),or(cin,xor(carry,t4))) = and(not(sum),or(carry,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(sum),or(cin,xor(carry,t4))),and(not(sum),or(cin,xor(carry,t4)))) ),[1,1],$fot(or(carry,sum))]]) ).
cnf(refute_0_17701,plain,
( or(cin,xor(carry,t4)) != or(carry,sum)
| and(not(sum),or(cin,xor(carry,t4))) = and(not(sum),or(carry,sum)) ),
inference(resolve,[$cnf( $equal(and(not(sum),or(cin,xor(carry,t4))),and(not(sum),or(cin,xor(carry,t4)))) )],[refute_0_17699,refute_0_17700]) ).
cnf(refute_0_17702,plain,
and(not(sum),or(cin,xor(carry,t4))) = and(not(sum),or(carry,sum)),
inference(resolve,[$cnf( $equal(or(cin,xor(carry,t4)),or(carry,sum)) )],[refute_0_17678,refute_0_17701]) ).
cnf(refute_0_17703,plain,
( and(not(sum),or(cin,xor(carry,t4))) != and(not(sum),or(carry,sum))
| and(not(sum),or(cin,xor(carry,t4))) != xor(sum,or(cin,xor(carry,t4)))
| and(not(sum),or(carry,sum)) = xor(sum,or(cin,xor(carry,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(sum),or(cin,xor(carry,t4))),xor(sum,or(cin,xor(carry,t4)))) ),[0],$fot(and(not(sum),or(carry,sum)))]]) ).
cnf(refute_0_17704,plain,
( and(not(sum),or(cin,xor(carry,t4))) != xor(sum,or(cin,xor(carry,t4)))
| and(not(sum),or(carry,sum)) = xor(sum,or(cin,xor(carry,t4))) ),
inference(resolve,[$cnf( $equal(and(not(sum),or(cin,xor(carry,t4))),and(not(sum),or(carry,sum))) )],[refute_0_17702,refute_0_17703]) ).
cnf(refute_0_17705,plain,
( and(not(sum),or(carry,sum)) != xor(sum,or(cin,xor(carry,t4)))
| xor(sum,or(cin,xor(carry,t4))) != xor(sum,or(carry,sum))
| and(not(sum),or(carry,sum)) = xor(sum,or(carry,sum)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(sum),or(carry,sum)),xor(sum,or(carry,sum))) ),[0],$fot(xor(sum,or(cin,xor(carry,t4))))]]) ).
cnf(refute_0_17706,plain,
( and(not(sum),or(carry,sum)) != xor(sum,or(cin,xor(carry,t4)))
| and(not(sum),or(carry,sum)) = xor(sum,or(carry,sum)) ),
inference(resolve,[$cnf( $equal(xor(sum,or(cin,xor(carry,t4))),xor(sum,or(carry,sum))) )],[refute_0_17682,refute_0_17705]) ).
cnf(refute_0_17707,plain,
( and(not(sum),or(cin,xor(carry,t4))) != xor(sum,or(cin,xor(carry,t4)))
| and(not(sum),or(carry,sum)) = xor(sum,or(carry,sum)) ),
inference(resolve,[$cnf( $equal(and(not(sum),or(carry,sum)),xor(sum,or(cin,xor(carry,t4)))) )],[refute_0_17704,refute_0_17706]) ).
cnf(refute_0_17708,plain,
and(not(sum),or(carry,sum)) = xor(sum,or(carry,sum)),
inference(resolve,[$cnf( $equal(and(not(sum),or(cin,xor(carry,t4))),xor(sum,or(cin,xor(carry,t4)))) )],[refute_0_17479,refute_0_17707]) ).
cnf(refute_0_17709,plain,
and(or(carry,sum),not(sum)) = and(not(sum),or(carry,sum)),
inference(subst,[],[refute_0_4252:[bind(X_14,$fot(not(sum))),bind(X_669,$fot(or(carry,sum)))]]) ).
cnf(refute_0_17710,plain,
( and(not(sum),or(carry,sum)) != xor(sum,or(carry,sum))
| and(or(carry,sum),not(sum)) != and(not(sum),or(carry,sum))
| and(or(carry,sum),not(sum)) = xor(sum,or(carry,sum)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(or(carry,sum),not(sum)))),bind(Y0,$fot(and(not(sum),or(carry,sum)))),bind(Z0,$fot(xor(sum,or(carry,sum))))]]) ).
cnf(refute_0_17711,plain,
( and(not(sum),or(carry,sum)) != xor(sum,or(carry,sum))
| and(or(carry,sum),not(sum)) = xor(sum,or(carry,sum)) ),
inference(resolve,[$cnf( $equal(and(or(carry,sum),not(sum)),and(not(sum),or(carry,sum))) )],[refute_0_17709,refute_0_17710]) ).
cnf(refute_0_17712,plain,
and(or(carry,sum),not(sum)) = xor(sum,or(carry,sum)),
inference(resolve,[$cnf( $equal(and(not(sum),or(carry,sum)),xor(sum,or(carry,sum))) )],[refute_0_17708,refute_0_17711]) ).
cnf(refute_0_17713,plain,
not(or(not(or(carry,sum)),sum)) = and(or(carry,sum),not(sum)),
inference(subst,[],[refute_0_159:[bind(X,$fot(or(carry,sum))),bind(X_26,$fot(sum))]]) ).
cnf(refute_0_17714,plain,
( and(or(carry,sum),not(sum)) != xor(sum,or(carry,sum))
| not(or(not(or(carry,sum)),sum)) != and(or(carry,sum),not(sum))
| not(or(not(or(carry,sum)),sum)) = xor(sum,or(carry,sum)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(not(or(carry,sum)),sum)))),bind(Y0,$fot(and(or(carry,sum),not(sum)))),bind(Z0,$fot(xor(sum,or(carry,sum))))]]) ).
cnf(refute_0_17715,plain,
( and(or(carry,sum),not(sum)) != xor(sum,or(carry,sum))
| not(or(not(or(carry,sum)),sum)) = xor(sum,or(carry,sum)) ),
inference(resolve,[$cnf( $equal(not(or(not(or(carry,sum)),sum)),and(or(carry,sum),not(sum))) )],[refute_0_17713,refute_0_17714]) ).
cnf(refute_0_17716,plain,
not(or(not(or(carry,sum)),sum)) = xor(sum,or(carry,sum)),
inference(resolve,[$cnf( $equal(and(or(carry,sum),not(sum)),xor(sum,or(carry,sum))) )],[refute_0_17712,refute_0_17715]) ).
cnf(refute_0_17717,plain,
( not(or(not(or(carry,sum)),sum)) != not(xor(carry,or(t1,t7)))
| not(or(not(or(carry,sum)),sum)) != xor(sum,or(carry,sum))
| xor(sum,or(carry,sum)) = not(xor(carry,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(or(carry,sum)),sum)),not(xor(carry,or(t1,t7)))) ),[0],$fot(xor(sum,or(carry,sum)))]]) ).
cnf(refute_0_17718,plain,
( not(or(not(or(carry,sum)),sum)) != not(xor(carry,or(t1,t7)))
| xor(sum,or(carry,sum)) = not(xor(carry,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(not(or(not(or(carry,sum)),sum)),xor(sum,or(carry,sum))) )],[refute_0_17716,refute_0_17717]) ).
cnf(refute_0_17719,plain,
or(and(carry,not(xor(t7,or(carry,t7)))),and(not(carry),xor(t7,or(carry,t7)))) = xor(carry,xor(t7,or(carry,t7))),
inference(subst,[],[refute_0_9:[bind(X,$fot(carry)),bind(Y,$fot(xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_17720,plain,
and(or(carry,not(xor(t7,or(carry,t7)))),not(or(not(xor(t7,or(carry,t7))),carry))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(not(xor(t7,or(carry,t7))))),bind(X_28,$fot(carry))]]) ).
cnf(refute_0_17721,plain,
or(carry,or(t7,not(or(carry,t7)))) = ll1,
inference(subst,[],[refute_0_137:[bind(X_37,$fot(carry)),bind(X_38,$fot(t7))]]) ).
cnf(refute_0_17722,plain,
( or(carry,or(t7,not(or(carry,t7)))) != ll1
| or(t7,not(or(carry,t7))) != not(xor(t7,or(carry,t7)))
| or(carry,not(xor(t7,or(carry,t7)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,or(t7,not(or(carry,t7)))),ll1) ),[0,1],$fot(not(xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_17723,plain,
( or(carry,or(t7,not(or(carry,t7)))) != ll1
| or(carry,not(xor(t7,or(carry,t7)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t7,not(or(carry,t7))),not(xor(t7,or(carry,t7)))) )],[refute_0_7821,refute_0_17722]) ).
cnf(refute_0_17724,plain,
or(carry,not(xor(t7,or(carry,t7)))) = ll1,
inference(resolve,[$cnf( $equal(or(carry,or(t7,not(or(carry,t7)))),ll1) )],[refute_0_17721,refute_0_17723]) ).
cnf(refute_0_17725,plain,
( and(or(carry,not(xor(t7,or(carry,t7)))),not(or(not(xor(t7,or(carry,t7))),carry))) != ll0
| or(carry,not(xor(t7,or(carry,t7)))) != ll1
| and(ll1,not(or(not(xor(t7,or(carry,t7))),carry))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(carry,not(xor(t7,or(carry,t7)))),not(or(not(xor(t7,or(carry,t7))),carry))),ll0) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_17726,plain,
( and(or(carry,not(xor(t7,or(carry,t7)))),not(or(not(xor(t7,or(carry,t7))),carry))) != ll0
| and(ll1,not(or(not(xor(t7,or(carry,t7))),carry))) = ll0 ),
inference(resolve,[$cnf( $equal(or(carry,not(xor(t7,or(carry,t7)))),ll1) )],[refute_0_17724,refute_0_17725]) ).
cnf(refute_0_17727,plain,
and(ll1,not(or(not(xor(t7,or(carry,t7))),carry))) = ll0,
inference(resolve,[$cnf( $equal(and(or(carry,not(xor(t7,or(carry,t7)))),not(or(not(xor(t7,or(carry,t7))),carry))),ll0) )],[refute_0_17720,refute_0_17726]) ).
cnf(refute_0_17728,plain,
not(or(carry,not(xor(t7,or(carry,t7))))) = and(not(carry),xor(t7,or(carry,t7))),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(t7,or(carry,t7)))),bind(X_25,$fot(carry))]]) ).
cnf(refute_0_17729,plain,
and(ll1,not(or(carry,not(xor(t7,or(carry,t7)))))) = not(or(carry,not(xor(t7,or(carry,t7))))),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(or(carry,not(xor(t7,or(carry,t7)))))))]]) ).
cnf(refute_0_17730,plain,
( and(ll1,not(or(carry,not(xor(t7,or(carry,t7)))))) != not(or(carry,not(xor(t7,or(carry,t7)))))
| not(or(carry,not(xor(t7,or(carry,t7))))) != and(not(carry),xor(t7,or(carry,t7)))
| and(ll1,not(or(carry,not(xor(t7,or(carry,t7)))))) = and(not(carry),xor(t7,or(carry,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(carry,not(xor(t7,or(carry,t7)))))))),bind(Y0,$fot(not(or(carry,not(xor(t7,or(carry,t7))))))),bind(Z0,$fot(and(not(carry),xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_17731,plain,
( not(or(carry,not(xor(t7,or(carry,t7))))) != and(not(carry),xor(t7,or(carry,t7)))
| and(ll1,not(or(carry,not(xor(t7,or(carry,t7)))))) = and(not(carry),xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(carry,not(xor(t7,or(carry,t7)))))),not(or(carry,not(xor(t7,or(carry,t7)))))) )],[refute_0_17729,refute_0_17730]) ).
cnf(refute_0_17732,plain,
and(ll1,not(or(carry,not(xor(t7,or(carry,t7)))))) = and(not(carry),xor(t7,or(carry,t7))),
inference(resolve,[$cnf( $equal(not(or(carry,not(xor(t7,or(carry,t7))))),and(not(carry),xor(t7,or(carry,t7)))) )],[refute_0_17728,refute_0_17731]) ).
cnf(refute_0_17733,plain,
and(ll1,not(or(not(xor(t7,or(carry,t7))),carry))) = and(ll1,not(or(carry,not(xor(t7,or(carry,t7)))))),
inference(subst,[],[refute_0_815:[bind(X_25,$fot(carry)),bind(X_26,$fot(not(xor(t7,or(carry,t7))))),bind(X_29,$fot(ll1))]]) ).
cnf(refute_0_17734,plain,
( and(ll1,not(or(carry,not(xor(t7,or(carry,t7)))))) != and(not(carry),xor(t7,or(carry,t7)))
| and(ll1,not(or(not(xor(t7,or(carry,t7))),carry))) != and(ll1,not(or(carry,not(xor(t7,or(carry,t7))))))
| and(ll1,not(or(not(xor(t7,or(carry,t7))),carry))) = and(not(carry),xor(t7,or(carry,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(xor(t7,or(carry,t7))),carry))))),bind(Y0,$fot(and(ll1,not(or(carry,not(xor(t7,or(carry,t7)))))))),bind(Z0,$fot(and(not(carry),xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_17735,plain,
( and(ll1,not(or(carry,not(xor(t7,or(carry,t7)))))) != and(not(carry),xor(t7,or(carry,t7)))
| and(ll1,not(or(not(xor(t7,or(carry,t7))),carry))) = and(not(carry),xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t7,or(carry,t7))),carry))),and(ll1,not(or(carry,not(xor(t7,or(carry,t7))))))) )],[refute_0_17733,refute_0_17734]) ).
cnf(refute_0_17736,plain,
and(ll1,not(or(not(xor(t7,or(carry,t7))),carry))) = and(not(carry),xor(t7,or(carry,t7))),
inference(resolve,[$cnf( $equal(and(ll1,not(or(carry,not(xor(t7,or(carry,t7)))))),and(not(carry),xor(t7,or(carry,t7)))) )],[refute_0_17732,refute_0_17735]) ).
cnf(refute_0_17737,plain,
( and(ll1,not(or(not(xor(t7,or(carry,t7))),carry))) != and(not(carry),xor(t7,or(carry,t7)))
| and(ll1,not(or(not(xor(t7,or(carry,t7))),carry))) != ll0
| and(not(carry),xor(t7,or(carry,t7))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(ll1,not(or(not(xor(t7,or(carry,t7))),carry))),ll0) ),[0],$fot(and(not(carry),xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_17738,plain,
( and(ll1,not(or(not(xor(t7,or(carry,t7))),carry))) != ll0
| and(not(carry),xor(t7,or(carry,t7))) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t7,or(carry,t7))),carry))),and(not(carry),xor(t7,or(carry,t7)))) )],[refute_0_17736,refute_0_17737]) ).
cnf(refute_0_17739,plain,
and(not(carry),xor(t7,or(carry,t7))) = ll0,
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t7,or(carry,t7))),carry))),ll0) )],[refute_0_17727,refute_0_17738]) ).
cnf(refute_0_17740,plain,
( and(not(carry),xor(t7,or(carry,t7))) != ll0
| or(and(carry,not(xor(t7,or(carry,t7)))),and(not(carry),xor(t7,or(carry,t7)))) != xor(carry,xor(t7,or(carry,t7)))
| or(and(carry,not(xor(t7,or(carry,t7)))),ll0) = xor(carry,xor(t7,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(carry,not(xor(t7,or(carry,t7)))),and(not(carry),xor(t7,or(carry,t7)))),xor(carry,xor(t7,or(carry,t7)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_17741,plain,
( or(and(carry,not(xor(t7,or(carry,t7)))),and(not(carry),xor(t7,or(carry,t7)))) != xor(carry,xor(t7,or(carry,t7)))
| or(and(carry,not(xor(t7,or(carry,t7)))),ll0) = xor(carry,xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(not(carry),xor(t7,or(carry,t7))),ll0) )],[refute_0_17739,refute_0_17740]) ).
cnf(refute_0_17742,plain,
or(and(carry,not(xor(t7,or(carry,t7)))),ll0) = xor(carry,xor(t7,or(carry,t7))),
inference(resolve,[$cnf( $equal(or(and(carry,not(xor(t7,or(carry,t7)))),and(not(carry),xor(t7,or(carry,t7)))),xor(carry,xor(t7,or(carry,t7)))) )],[refute_0_17719,refute_0_17741]) ).
cnf(refute_0_17743,plain,
or(and(carry,not(xor(t7,or(carry,t7)))),ll0) = and(carry,not(xor(t7,or(carry,t7)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(carry,not(xor(t7,or(carry,t7))))))]]) ).
cnf(refute_0_17744,plain,
( or(and(carry,not(xor(t7,or(carry,t7)))),ll0) != and(carry,not(xor(t7,or(carry,t7))))
| or(and(carry,not(xor(t7,or(carry,t7)))),ll0) != xor(carry,xor(t7,or(carry,t7)))
| and(carry,not(xor(t7,or(carry,t7)))) = xor(carry,xor(t7,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(carry,not(xor(t7,or(carry,t7)))),ll0),xor(carry,xor(t7,or(carry,t7)))) ),[0],$fot(and(carry,not(xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_17745,plain,
( or(and(carry,not(xor(t7,or(carry,t7)))),ll0) != xor(carry,xor(t7,or(carry,t7)))
| and(carry,not(xor(t7,or(carry,t7)))) = xor(carry,xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(or(and(carry,not(xor(t7,or(carry,t7)))),ll0),and(carry,not(xor(t7,or(carry,t7))))) )],[refute_0_17743,refute_0_17744]) ).
cnf(refute_0_17746,plain,
and(carry,not(xor(t7,or(carry,t7)))) = xor(carry,xor(t7,or(carry,t7))),
inference(resolve,[$cnf( $equal(or(and(carry,not(xor(t7,or(carry,t7)))),ll0),xor(carry,xor(t7,or(carry,t7)))) )],[refute_0_17742,refute_0_17745]) ).
cnf(refute_0_17747,plain,
and(carry,not(xor(t7,or(carry,t7)))) = and(carry,not(xor(t7,or(carry,t7)))),
introduced(tautology,[refl,[$fot(and(carry,not(xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_17748,plain,
( and(carry,not(xor(t7,or(carry,t7)))) != and(carry,not(xor(t7,or(carry,t7))))
| not(xor(t7,or(carry,t7))) != not(xor(t7,or(a,t7)))
| and(carry,not(xor(t7,or(carry,t7)))) = and(carry,not(xor(t7,or(a,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,not(xor(t7,or(carry,t7)))),and(carry,not(xor(t7,or(carry,t7))))) ),[1,1],$fot(not(xor(t7,or(a,t7))))]]) ).
cnf(refute_0_17749,plain,
( not(xor(t7,or(carry,t7))) != not(xor(t7,or(a,t7)))
| and(carry,not(xor(t7,or(carry,t7)))) = and(carry,not(xor(t7,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(and(carry,not(xor(t7,or(carry,t7)))),and(carry,not(xor(t7,or(carry,t7))))) )],[refute_0_17747,refute_0_17748]) ).
cnf(refute_0_17750,plain,
and(carry,not(xor(t7,or(carry,t7)))) = and(carry,not(xor(t7,or(a,t7)))),
inference(resolve,[$cnf( $equal(not(xor(t7,or(carry,t7))),not(xor(t7,or(a,t7)))) )],[refute_0_7862,refute_0_17749]) ).
cnf(refute_0_17751,plain,
( and(carry,not(xor(t7,or(carry,t7)))) != and(carry,not(xor(t7,or(a,t7))))
| and(carry,not(xor(t7,or(carry,t7)))) != xor(carry,xor(t7,or(carry,t7)))
| and(carry,not(xor(t7,or(a,t7)))) = xor(carry,xor(t7,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,not(xor(t7,or(carry,t7)))),xor(carry,xor(t7,or(carry,t7)))) ),[0],$fot(and(carry,not(xor(t7,or(a,t7)))))]]) ).
cnf(refute_0_17752,plain,
( and(carry,not(xor(t7,or(carry,t7)))) != xor(carry,xor(t7,or(carry,t7)))
| and(carry,not(xor(t7,or(a,t7)))) = xor(carry,xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(carry,not(xor(t7,or(carry,t7)))),and(carry,not(xor(t7,or(a,t7))))) )],[refute_0_17750,refute_0_17751]) ).
cnf(refute_0_17753,plain,
xor(carry,xor(t7,or(carry,t7))) = xor(carry,xor(t7,or(carry,t7))),
introduced(tautology,[refl,[$fot(xor(carry,xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_17754,plain,
( xor(carry,xor(t7,or(carry,t7))) != xor(carry,xor(t7,or(carry,t7)))
| xor(t7,or(carry,t7)) != xor(t7,or(a,t7))
| xor(carry,xor(t7,or(carry,t7))) = xor(carry,xor(t7,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(t7,or(carry,t7))),xor(carry,xor(t7,or(carry,t7)))) ),[1,1],$fot(xor(t7,or(a,t7)))]]) ).
cnf(refute_0_17755,plain,
( xor(t7,or(carry,t7)) != xor(t7,or(a,t7))
| xor(carry,xor(t7,or(carry,t7))) = xor(carry,xor(t7,or(a,t7))) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(t7,or(carry,t7))),xor(carry,xor(t7,or(carry,t7)))) )],[refute_0_17753,refute_0_17754]) ).
cnf(refute_0_17756,plain,
xor(carry,xor(t7,or(carry,t7))) = xor(carry,xor(t7,or(a,t7))),
inference(resolve,[$cnf( $equal(xor(t7,or(carry,t7)),xor(t7,or(a,t7))) )],[refute_0_7858,refute_0_17755]) ).
cnf(refute_0_17757,plain,
( and(carry,not(xor(t7,or(a,t7)))) != xor(carry,xor(t7,or(carry,t7)))
| xor(carry,xor(t7,or(carry,t7))) != xor(carry,xor(t7,or(a,t7)))
| and(carry,not(xor(t7,or(a,t7)))) = xor(carry,xor(t7,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(carry,not(xor(t7,or(a,t7)))),xor(carry,xor(t7,or(a,t7)))) ),[0],$fot(xor(carry,xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_17758,plain,
( and(carry,not(xor(t7,or(a,t7)))) != xor(carry,xor(t7,or(carry,t7)))
| and(carry,not(xor(t7,or(a,t7)))) = xor(carry,xor(t7,or(a,t7))) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(t7,or(carry,t7))),xor(carry,xor(t7,or(a,t7)))) )],[refute_0_17756,refute_0_17757]) ).
cnf(refute_0_17759,plain,
( and(carry,not(xor(t7,or(carry,t7)))) != xor(carry,xor(t7,or(carry,t7)))
| and(carry,not(xor(t7,or(a,t7)))) = xor(carry,xor(t7,or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(carry,not(xor(t7,or(a,t7)))),xor(carry,xor(t7,or(carry,t7)))) )],[refute_0_17752,refute_0_17758]) ).
cnf(refute_0_17760,plain,
and(carry,not(xor(t7,or(a,t7)))) = xor(carry,xor(t7,or(a,t7))),
inference(resolve,[$cnf( $equal(and(carry,not(xor(t7,or(carry,t7)))),xor(carry,xor(t7,or(carry,t7)))) )],[refute_0_17746,refute_0_17759]) ).
cnf(refute_0_17761,plain,
and(carry,or(t7,not(carry))) = and(carry,t7),
inference(subst,[],[refute_0_14686:[bind(X_752,$fot(carry)),bind(X_753,$fot(t7))]]) ).
cnf(refute_0_17762,plain,
and(carry,not(xor(t7,or(a,t7)))) = and(carry,not(xor(t7,or(a,t7)))),
introduced(tautology,[refl,[$fot(and(carry,not(xor(t7,or(a,t7)))))]]) ).
cnf(refute_0_17763,plain,
( and(carry,not(xor(t7,or(a,t7)))) != and(carry,not(xor(t7,or(a,t7))))
| not(xor(t7,or(a,t7))) != or(t7,not(carry))
| and(carry,not(xor(t7,or(a,t7)))) = and(carry,or(t7,not(carry))) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,not(xor(t7,or(a,t7)))),and(carry,not(xor(t7,or(a,t7))))) ),[1,1],$fot(or(t7,not(carry)))]]) ).
cnf(refute_0_17764,plain,
( not(xor(t7,or(a,t7))) != or(t7,not(carry))
| and(carry,not(xor(t7,or(a,t7)))) = and(carry,or(t7,not(carry))) ),
inference(resolve,[$cnf( $equal(and(carry,not(xor(t7,or(a,t7)))),and(carry,not(xor(t7,or(a,t7))))) )],[refute_0_17762,refute_0_17763]) ).
cnf(refute_0_17765,plain,
and(carry,not(xor(t7,or(a,t7)))) = and(carry,or(t7,not(carry))),
inference(resolve,[$cnf( $equal(not(xor(t7,or(a,t7))),or(t7,not(carry))) )],[refute_0_8435,refute_0_17764]) ).
cnf(refute_0_17766,plain,
( and(carry,not(xor(t7,or(a,t7)))) != and(carry,or(t7,not(carry)))
| and(carry,or(t7,not(carry))) != and(carry,t7)
| and(carry,not(xor(t7,or(a,t7)))) = and(carry,t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(carry,not(xor(t7,or(a,t7)))))),bind(Y0,$fot(and(carry,or(t7,not(carry))))),bind(Z0,$fot(and(carry,t7)))]]) ).
cnf(refute_0_17767,plain,
( and(carry,or(t7,not(carry))) != and(carry,t7)
| and(carry,not(xor(t7,or(a,t7)))) = and(carry,t7) ),
inference(resolve,[$cnf( $equal(and(carry,not(xor(t7,or(a,t7)))),and(carry,or(t7,not(carry)))) )],[refute_0_17765,refute_0_17766]) ).
cnf(refute_0_17768,plain,
and(carry,not(xor(t7,or(a,t7)))) = and(carry,t7),
inference(resolve,[$cnf( $equal(and(carry,or(t7,not(carry))),and(carry,t7)) )],[refute_0_17761,refute_0_17767]) ).
cnf(refute_0_17769,plain,
( and(carry,not(xor(t7,or(a,t7)))) != and(carry,t7)
| and(carry,not(xor(t7,or(a,t7)))) != xor(carry,xor(t7,or(a,t7)))
| and(carry,t7) = xor(carry,xor(t7,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,not(xor(t7,or(a,t7)))),xor(carry,xor(t7,or(a,t7)))) ),[0],$fot(and(carry,t7))]]) ).
cnf(refute_0_17770,plain,
( and(carry,not(xor(t7,or(a,t7)))) != xor(carry,xor(t7,or(a,t7)))
| and(carry,t7) = xor(carry,xor(t7,or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(carry,not(xor(t7,or(a,t7)))),and(carry,t7)) )],[refute_0_17768,refute_0_17769]) ).
cnf(refute_0_17771,plain,
xor(carry,xor(t7,or(a,t7))) = xor(carry,xor(t7,or(a,t7))),
introduced(tautology,[refl,[$fot(xor(carry,xor(t7,or(a,t7))))]]) ).
cnf(refute_0_17772,plain,
( xor(carry,xor(t7,or(a,t7))) != xor(carry,xor(t7,or(a,t7)))
| xor(t7,or(a,t7)) != and(carry,not(t7))
| xor(carry,xor(t7,or(a,t7))) = xor(carry,and(carry,not(t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(t7,or(a,t7))),xor(carry,xor(t7,or(a,t7)))) ),[1,1],$fot(and(carry,not(t7)))]]) ).
cnf(refute_0_17773,plain,
( xor(t7,or(a,t7)) != and(carry,not(t7))
| xor(carry,xor(t7,or(a,t7))) = xor(carry,and(carry,not(t7))) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(t7,or(a,t7))),xor(carry,xor(t7,or(a,t7)))) )],[refute_0_17771,refute_0_17772]) ).
cnf(refute_0_17774,plain,
xor(carry,xor(t7,or(a,t7))) = xor(carry,and(carry,not(t7))),
inference(resolve,[$cnf( $equal(xor(t7,or(a,t7)),and(carry,not(t7))) )],[refute_0_8428,refute_0_17773]) ).
cnf(refute_0_17775,plain,
( and(carry,t7) != xor(carry,xor(t7,or(a,t7)))
| xor(carry,xor(t7,or(a,t7))) != xor(carry,and(carry,not(t7)))
| and(carry,t7) = xor(carry,and(carry,not(t7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(carry,t7),xor(carry,and(carry,not(t7)))) ),[0],$fot(xor(carry,xor(t7,or(a,t7))))]]) ).
cnf(refute_0_17776,plain,
( and(carry,t7) != xor(carry,xor(t7,or(a,t7)))
| and(carry,t7) = xor(carry,and(carry,not(t7))) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(t7,or(a,t7))),xor(carry,and(carry,not(t7)))) )],[refute_0_17774,refute_0_17775]) ).
cnf(refute_0_17777,plain,
( and(carry,not(xor(t7,or(a,t7)))) != xor(carry,xor(t7,or(a,t7)))
| and(carry,t7) = xor(carry,and(carry,not(t7))) ),
inference(resolve,[$cnf( $equal(and(carry,t7),xor(carry,xor(t7,or(a,t7)))) )],[refute_0_17770,refute_0_17776]) ).
cnf(refute_0_17778,plain,
and(carry,t7) = xor(carry,and(carry,not(t7))),
inference(resolve,[$cnf( $equal(and(carry,not(xor(t7,or(a,t7)))),xor(carry,xor(t7,or(a,t7)))) )],[refute_0_17760,refute_0_17777]) ).
cnf(refute_0_17779,plain,
xor(carry,not(or(t1,t7))) = not(xor(carry,or(t1,t7))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(carry)),bind(X_334,$fot(or(t1,t7)))]]) ).
cnf(refute_0_17780,plain,
xor(carry,and(carry,not(t7))) = xor(carry,and(carry,not(t7))),
introduced(tautology,[refl,[$fot(xor(carry,and(carry,not(t7))))]]) ).
cnf(refute_0_17781,plain,
( and(carry,not(t7)) != not(or(t1,t7))
| xor(carry,and(carry,not(t7))) != xor(carry,and(carry,not(t7)))
| xor(carry,and(carry,not(t7))) = xor(carry,not(or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,and(carry,not(t7))),xor(carry,and(carry,not(t7)))) ),[1,1],$fot(not(or(t1,t7)))]]) ).
cnf(refute_0_17782,plain,
( and(carry,not(t7)) != not(or(t1,t7))
| xor(carry,and(carry,not(t7))) = xor(carry,not(or(t1,t7))) ),
inference(resolve,[$cnf( $equal(xor(carry,and(carry,not(t7))),xor(carry,and(carry,not(t7)))) )],[refute_0_17780,refute_0_17781]) ).
cnf(refute_0_17783,plain,
xor(carry,and(carry,not(t7))) = xor(carry,not(or(t1,t7))),
inference(resolve,[$cnf( $equal(and(carry,not(t7)),not(or(t1,t7))) )],[refute_0_10975,refute_0_17782]) ).
cnf(refute_0_17784,plain,
( xor(carry,and(carry,not(t7))) != xor(carry,not(or(t1,t7)))
| xor(carry,not(or(t1,t7))) != not(xor(carry,or(t1,t7)))
| xor(carry,and(carry,not(t7))) = not(xor(carry,or(t1,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(carry,and(carry,not(t7))))),bind(Y0,$fot(xor(carry,not(or(t1,t7))))),bind(Z0,$fot(not(xor(carry,or(t1,t7)))))]]) ).
cnf(refute_0_17785,plain,
( xor(carry,not(or(t1,t7))) != not(xor(carry,or(t1,t7)))
| xor(carry,and(carry,not(t7))) = not(xor(carry,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(xor(carry,and(carry,not(t7))),xor(carry,not(or(t1,t7)))) )],[refute_0_17783,refute_0_17784]) ).
cnf(refute_0_17786,plain,
xor(carry,and(carry,not(t7))) = not(xor(carry,or(t1,t7))),
inference(resolve,[$cnf( $equal(xor(carry,not(or(t1,t7))),not(xor(carry,or(t1,t7)))) )],[refute_0_17779,refute_0_17785]) ).
cnf(refute_0_17787,plain,
( and(carry,t7) != xor(carry,and(carry,not(t7)))
| xor(carry,and(carry,not(t7))) != not(xor(carry,or(t1,t7)))
| and(carry,t7) = not(xor(carry,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(carry,t7),not(xor(carry,or(t1,t7)))) ),[0],$fot(xor(carry,and(carry,not(t7))))]]) ).
cnf(refute_0_17788,plain,
( and(carry,t7) != xor(carry,and(carry,not(t7)))
| and(carry,t7) = not(xor(carry,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(xor(carry,and(carry,not(t7))),not(xor(carry,or(t1,t7)))) )],[refute_0_17786,refute_0_17787]) ).
cnf(refute_0_17789,plain,
and(carry,t7) = not(xor(carry,or(t1,t7))),
inference(resolve,[$cnf( $equal(and(carry,t7),xor(carry,and(carry,not(t7)))) )],[refute_0_17778,refute_0_17788]) ).
cnf(refute_0_17790,plain,
( and(carry,t7) != not(xor(carry,or(t1,t7)))
| not(xor(carry,or(t1,t7))) = and(carry,t7) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(carry,t7))),bind(Y0,$fot(not(xor(carry,or(t1,t7)))))]]) ).
cnf(refute_0_17791,plain,
not(xor(carry,or(t1,t7))) = and(carry,t7),
inference(resolve,[$cnf( $equal(and(carry,t7),not(xor(carry,or(t1,t7)))) )],[refute_0_17789,refute_0_17790]) ).
cnf(refute_0_17792,plain,
( not(xor(carry,or(t1,t7))) != and(carry,t7)
| xor(sum,or(carry,sum)) != not(xor(carry,or(t1,t7)))
| xor(sum,or(carry,sum)) = and(carry,t7) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,or(carry,sum)),not(xor(carry,or(t1,t7)))) ),[1],$fot(and(carry,t7))]]) ).
cnf(refute_0_17793,plain,
( xor(sum,or(carry,sum)) != not(xor(carry,or(t1,t7)))
| xor(sum,or(carry,sum)) = and(carry,t7) ),
inference(resolve,[$cnf( $equal(not(xor(carry,or(t1,t7))),and(carry,t7)) )],[refute_0_17791,refute_0_17792]) ).
cnf(refute_0_17794,plain,
( not(or(not(or(carry,sum)),sum)) != not(xor(carry,or(t1,t7)))
| xor(sum,or(carry,sum)) = and(carry,t7) ),
inference(resolve,[$cnf( $equal(xor(sum,or(carry,sum)),not(xor(carry,or(t1,t7)))) )],[refute_0_17718,refute_0_17793]) ).
cnf(refute_0_17795,plain,
xor(sum,or(carry,sum)) = and(carry,t7),
inference(resolve,[$cnf( $equal(not(or(not(or(carry,sum)),sum)),not(xor(carry,or(t1,t7)))) )],[refute_0_17698,refute_0_17794]) ).
cnf(refute_0_17796,plain,
not(xor(sum,or(carry,sum))) = not(xor(sum,or(carry,sum))),
introduced(tautology,[refl,[$fot(not(xor(sum,or(carry,sum))))]]) ).
cnf(refute_0_17797,plain,
( not(xor(sum,or(carry,sum))) != not(xor(sum,or(carry,sum)))
| xor(sum,or(carry,sum)) != and(carry,t7)
| not(xor(sum,or(carry,sum))) = not(and(carry,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(sum,or(carry,sum))),not(xor(sum,or(carry,sum)))) ),[1,0],$fot(and(carry,t7))]]) ).
cnf(refute_0_17798,plain,
( xor(sum,or(carry,sum)) != and(carry,t7)
| not(xor(sum,or(carry,sum))) = not(and(carry,t7)) ),
inference(resolve,[$cnf( $equal(not(xor(sum,or(carry,sum))),not(xor(sum,or(carry,sum)))) )],[refute_0_17796,refute_0_17797]) ).
cnf(refute_0_17799,plain,
not(xor(sum,or(carry,sum))) = not(and(carry,t7)),
inference(resolve,[$cnf( $equal(xor(sum,or(carry,sum)),and(carry,t7)) )],[refute_0_17795,refute_0_17798]) ).
cnf(refute_0_17800,plain,
( not(xor(sum,or(carry,sum))) != not(and(carry,t7))
| not(xor(sum,or(carry,sum))) != xor(carry,or(t1,t7))
| not(and(carry,t7)) = xor(carry,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(sum,or(carry,sum))),xor(carry,or(t1,t7))) ),[0],$fot(not(and(carry,t7)))]]) ).
cnf(refute_0_17801,plain,
( not(xor(sum,or(carry,sum))) != xor(carry,or(t1,t7))
| not(and(carry,t7)) = xor(carry,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(not(xor(sum,or(carry,sum))),not(and(carry,t7))) )],[refute_0_17799,refute_0_17800]) ).
cnf(refute_0_17802,plain,
not(and(carry,t7)) = xor(carry,or(t1,t7)),
inference(resolve,[$cnf( $equal(not(xor(sum,or(carry,sum))),xor(carry,or(t1,t7))) )],[refute_0_17170,refute_0_17801]) ).
cnf(refute_0_17803,plain,
( not(and(carry,t7)) != xor(carry,or(t1,t7))
| xor(carry,or(t1,t7)) = not(and(carry,t7)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(carry,t7)))),bind(Y0,$fot(xor(carry,or(t1,t7))))]]) ).
cnf(refute_0_17804,plain,
xor(carry,or(t1,t7)) = not(and(carry,t7)),
inference(resolve,[$cnf( $equal(not(and(carry,t7)),xor(carry,or(t1,t7))) )],[refute_0_17802,refute_0_17803]) ).
cnf(refute_0_17805,plain,
( not(and(carry,or(t1,not(and(carry_def,cin))))) != xor(carry,or(t1,t7))
| xor(carry,or(t1,t7)) != not(and(carry,t7))
| not(and(carry,or(t1,not(and(carry_def,cin))))) = not(and(carry,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(carry,or(t1,not(and(carry_def,cin))))),not(and(carry,t7))) ),[0],$fot(xor(carry,or(t1,t7)))]]) ).
cnf(refute_0_17806,plain,
( not(and(carry,or(t1,not(and(carry_def,cin))))) != xor(carry,or(t1,t7))
| not(and(carry,or(t1,not(and(carry_def,cin))))) = not(and(carry,t7)) ),
inference(resolve,[$cnf( $equal(xor(carry,or(t1,t7)),not(and(carry,t7))) )],[refute_0_17804,refute_0_17805]) ).
cnf(refute_0_17807,plain,
not(and(carry,or(t1,not(and(carry_def,cin))))) = not(and(carry,t7)),
inference(resolve,[$cnf( $equal(not(and(carry,or(t1,not(and(carry_def,cin))))),xor(carry,or(t1,t7))) )],[refute_0_16968,refute_0_17806]) ).
cnf(refute_0_17808,plain,
( not(and(carry,or(t1,not(and(carry_def,cin))))) != not(and(carry,t7))
| or(t1,not(and(carry,or(t1,not(and(carry_def,cin)))))) != or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin)))))))
| or(t1,not(and(carry,t7))) = or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin))))))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,not(and(carry,or(t1,not(and(carry_def,cin)))))),or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin)))))))) ),[0,1],$fot(not(and(carry,t7)))]]) ).
cnf(refute_0_17809,plain,
( or(t1,not(and(carry,or(t1,not(and(carry_def,cin)))))) != or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin)))))))
| or(t1,not(and(carry,t7))) = or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin))))))) ),
inference(resolve,[$cnf( $equal(not(and(carry,or(t1,not(and(carry_def,cin))))),not(and(carry,t7))) )],[refute_0_17807,refute_0_17808]) ).
cnf(refute_0_17810,plain,
or(t1,not(and(carry,t7))) = or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin))))))),
inference(resolve,[$cnf( $equal(or(t1,not(and(carry,or(t1,not(and(carry_def,cin)))))),or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin)))))))) )],[refute_0_16593,refute_0_17809]) ).
cnf(refute_0_17811,plain,
not(and(not(t1),t7)) = not(and(t7,not(t1))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(t7)),bind(X_32,$fot(not(t1)))]]) ).
cnf(refute_0_17812,plain,
and(not(t1),not(and(sum,t2))) = and(b,and(t3,not(and(sum,t2)))),
inference(subst,[],[refute_0_5432:[bind(Z,$fot(not(and(sum,t2))))]]) ).
cnf(refute_0_17813,plain,
not(or(and(sum,t2),not(t3))) = not(or(not(t3),and(sum,t2))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(not(t3))),bind(X_26,$fot(and(sum,t2)))]]) ).
cnf(refute_0_17814,plain,
and(or(not(t3),and(sum,t2)),or(cin,or(not(t3),and(sum,t2)))) = or(not(t3),and(sum,t2)),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(or(not(t3),and(sum,t2)))),bind(X_20,$fot(cin))]]) ).
cnf(refute_0_17815,plain,
or(or(cin,not(t3)),and(t5,or(cin,not(t3)))) = or(cin,not(t3)),
inference(subst,[],[refute_0_222:[bind(X_13,$fot(or(cin,not(t3)))),bind(X_14,$fot(t5))]]) ).
cnf(refute_0_17816,plain,
not(not(and(t5,or(cin,not(t3))))) = and(t5,or(cin,not(t3))),
inference(subst,[],[not_involution:[bind(X,$fot(and(t5,or(cin,not(t3)))))]]) ).
cnf(refute_0_17817,plain,
or(and(cin,not(and(t3,t5))),and(not(cin),and(t3,t5))) = xor(cin,and(t3,t5)),
inference(subst,[],[refute_0_9:[bind(X,$fot(cin)),bind(Y,$fot(and(t3,t5)))]]) ).
cnf(refute_0_17818,plain,
and(not(t5),not(xor(t6,or(a,t6)))) = and(cin,and(t4,not(xor(t6,or(a,t6))))),
inference(subst,[],[refute_0_841:[bind(X_222,$fot(not(xor(t6,or(a,t6)))))]]) ).
cnf(refute_0_17819,plain,
or(and(t4,not(xor(t6,or(cin,t3)))),and(not(t4),xor(t6,or(cin,t3)))) = xor(t4,xor(t6,or(cin,t3))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t4)),bind(Y,$fot(xor(t6,or(cin,t3))))]]) ).
cnf(refute_0_17820,plain,
and(not(t4),xor(t6,or(cin,t3))) = and(t5,and(t6,xor(t6,or(cin,t3)))),
inference(subst,[],[refute_0_5450:[bind(Z,$fot(xor(t6,or(cin,t3))))]]) ).
cnf(refute_0_17821,plain,
ll0 = and(t6,and(not(t6),or(cin,t3))),
inference(subst,[],[refute_0_5426:[bind(X_220,$fot(t6)),bind(X_222,$fot(or(cin,t3)))]]) ).
cnf(refute_0_17822,plain,
or(and(or(cin,t6),not(or(cin,t3))),and(not(or(cin,t6)),or(cin,t3))) = xor(or(cin,t6),or(cin,t3)),
inference(subst,[],[refute_0_9:[bind(X,$fot(or(cin,t6))),bind(Y,$fot(or(cin,t3)))]]) ).
cnf(refute_0_17823,plain,
and(or(cin,or(t3,not(or(cin,t6)))),not(or(or(t3,not(or(cin,t6))),cin))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(or(t3,not(or(cin,t6))))),bind(X_28,$fot(cin))]]) ).
cnf(refute_0_17824,plain,
or(t3,or(X_148,not(or(X_148,not(t4))))) = or(t3,or(not(t4),or(X_148,not(or(X_148,not(t4)))))),
inference(subst,[],[refute_0_622:[bind(X_39,$fot(or(X_148,not(or(X_148,not(t4))))))]]) ).
cnf(refute_0_17825,plain,
or(or(X_28,X_27),not(or(X_28,X_27))) = ll1,
inference(subst,[],[or_complement:[bind(X,$fot(or(X_28,X_27)))]]) ).
cnf(refute_0_17826,plain,
( not(or(X_28,X_27)) != not(or(X_27,X_28))
| or(or(X_28,X_27),not(or(X_28,X_27))) != ll1
| or(or(X_28,X_27),not(or(X_27,X_28))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(or(X_28,X_27),not(or(X_28,X_27))),ll1) ),[0,1],$fot(not(or(X_27,X_28)))]]) ).
cnf(refute_0_17827,plain,
( or(or(X_28,X_27),not(or(X_28,X_27))) != ll1
| or(or(X_28,X_27),not(or(X_27,X_28))) = ll1 ),
inference(resolve,[$cnf( $equal(not(or(X_28,X_27)),not(or(X_27,X_28))) )],[refute_0_106,refute_0_17826]) ).
cnf(refute_0_17828,plain,
or(or(X_28,X_27),not(or(X_27,X_28))) = ll1,
inference(resolve,[$cnf( $equal(or(or(X_28,X_27),not(or(X_28,X_27))),ll1) )],[refute_0_17825,refute_0_17827]) ).
cnf(refute_0_17829,plain,
or(or(X_28,X_27),not(or(X_27,X_28))) = or(X_28,or(X_27,not(or(X_27,X_28)))),
inference(subst,[],[or_associative:[bind(X,$fot(X_28)),bind(Y,$fot(X_27)),bind(Z,$fot(not(or(X_27,X_28))))]]) ).
cnf(refute_0_17830,plain,
( or(or(X_28,X_27),not(or(X_27,X_28))) != ll1
| or(or(X_28,X_27),not(or(X_27,X_28))) != or(X_28,or(X_27,not(or(X_27,X_28))))
| or(X_28,or(X_27,not(or(X_27,X_28)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(or(X_28,X_27),not(or(X_27,X_28))),ll1) ),[0],$fot(or(X_28,or(X_27,not(or(X_27,X_28)))))]]) ).
cnf(refute_0_17831,plain,
( or(or(X_28,X_27),not(or(X_27,X_28))) != ll1
| or(X_28,or(X_27,not(or(X_27,X_28)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(or(X_28,X_27),not(or(X_27,X_28))),or(X_28,or(X_27,not(or(X_27,X_28))))) )],[refute_0_17829,refute_0_17830]) ).
cnf(refute_0_17832,plain,
or(X_28,or(X_27,not(or(X_27,X_28)))) = ll1,
inference(resolve,[$cnf( $equal(or(or(X_28,X_27),not(or(X_27,X_28))),ll1) )],[refute_0_17828,refute_0_17831]) ).
cnf(refute_0_17833,plain,
or(not(t4),or(X_148,not(or(X_148,not(t4))))) = ll1,
inference(subst,[],[refute_0_17832:[bind(X_27,$fot(X_148)),bind(X_28,$fot(not(t4)))]]) ).
cnf(refute_0_17834,plain,
( or(not(t4),or(X_148,not(or(X_148,not(t4))))) != ll1
| or(t3,or(X_148,not(or(X_148,not(t4))))) != or(t3,or(not(t4),or(X_148,not(or(X_148,not(t4))))))
| or(t3,or(X_148,not(or(X_148,not(t4))))) = or(t3,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,or(X_148,not(or(X_148,not(t4))))),or(t3,or(not(t4),or(X_148,not(or(X_148,not(t4))))))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_17835,plain,
( or(t3,or(X_148,not(or(X_148,not(t4))))) != or(t3,or(not(t4),or(X_148,not(or(X_148,not(t4))))))
| or(t3,or(X_148,not(or(X_148,not(t4))))) = or(t3,ll1) ),
inference(resolve,[$cnf( $equal(or(not(t4),or(X_148,not(or(X_148,not(t4))))),ll1) )],[refute_0_17833,refute_0_17834]) ).
cnf(refute_0_17836,plain,
or(t3,or(X_148,not(or(X_148,not(t4))))) = or(t3,ll1),
inference(resolve,[$cnf( $equal(or(t3,or(X_148,not(or(X_148,not(t4))))),or(t3,or(not(t4),or(X_148,not(or(X_148,not(t4))))))) )],[refute_0_17824,refute_0_17835]) ).
cnf(refute_0_17837,plain,
and(not(X_148),t4) = and(t4,not(X_148)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t4)),bind(Y,$fot(not(X_148)))]]) ).
cnf(refute_0_17838,plain,
not(or(X_148,not(t4))) = and(not(X_148),t4),
inference(subst,[],[refute_0_801:[bind(X,$fot(t4)),bind(X_25,$fot(X_148))]]) ).
cnf(refute_0_17839,plain,
( and(not(X_148),t4) != and(t4,not(X_148))
| not(or(X_148,not(t4))) != and(not(X_148),t4)
| not(or(X_148,not(t4))) = and(t4,not(X_148)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(X_148,not(t4))))),bind(Y0,$fot(and(not(X_148),t4))),bind(Z0,$fot(and(t4,not(X_148))))]]) ).
cnf(refute_0_17840,plain,
( and(not(X_148),t4) != and(t4,not(X_148))
| not(or(X_148,not(t4))) = and(t4,not(X_148)) ),
inference(resolve,[$cnf( $equal(not(or(X_148,not(t4))),and(not(X_148),t4)) )],[refute_0_17838,refute_0_17839]) ).
cnf(refute_0_17841,plain,
not(or(X_148,not(t4))) = and(t4,not(X_148)),
inference(resolve,[$cnf( $equal(and(not(X_148),t4),and(t4,not(X_148))) )],[refute_0_17837,refute_0_17840]) ).
cnf(refute_0_17842,plain,
or(X_148,not(or(X_148,not(t4)))) = or(X_148,not(or(X_148,not(t4)))),
introduced(tautology,[refl,[$fot(or(X_148,not(or(X_148,not(t4)))))]]) ).
cnf(refute_0_17843,plain,
( not(or(X_148,not(t4))) != and(t4,not(X_148))
| or(X_148,not(or(X_148,not(t4)))) != or(X_148,not(or(X_148,not(t4))))
| or(X_148,not(or(X_148,not(t4)))) = or(X_148,and(t4,not(X_148))) ),
introduced(tautology,[equality,[$cnf( $equal(or(X_148,not(or(X_148,not(t4)))),or(X_148,not(or(X_148,not(t4))))) ),[1,1],$fot(and(t4,not(X_148)))]]) ).
cnf(refute_0_17844,plain,
( not(or(X_148,not(t4))) != and(t4,not(X_148))
| or(X_148,not(or(X_148,not(t4)))) = or(X_148,and(t4,not(X_148))) ),
inference(resolve,[$cnf( $equal(or(X_148,not(or(X_148,not(t4)))),or(X_148,not(or(X_148,not(t4))))) )],[refute_0_17842,refute_0_17843]) ).
cnf(refute_0_17845,plain,
or(X_148,not(or(X_148,not(t4)))) = or(X_148,and(t4,not(X_148))),
inference(resolve,[$cnf( $equal(not(or(X_148,not(t4))),and(t4,not(X_148))) )],[refute_0_17841,refute_0_17844]) ).
cnf(refute_0_17846,plain,
or(t3,or(X_148,not(or(X_148,not(t4))))) = or(t3,or(X_148,not(or(X_148,not(t4))))),
introduced(tautology,[refl,[$fot(or(t3,or(X_148,not(or(X_148,not(t4))))))]]) ).
cnf(refute_0_17847,plain,
( or(X_148,not(or(X_148,not(t4)))) != or(X_148,and(t4,not(X_148)))
| or(t3,or(X_148,not(or(X_148,not(t4))))) != or(t3,or(X_148,not(or(X_148,not(t4)))))
| or(t3,or(X_148,not(or(X_148,not(t4))))) = or(t3,or(X_148,and(t4,not(X_148)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,or(X_148,not(or(X_148,not(t4))))),or(t3,or(X_148,not(or(X_148,not(t4)))))) ),[1,1],$fot(or(X_148,and(t4,not(X_148))))]]) ).
cnf(refute_0_17848,plain,
( or(X_148,not(or(X_148,not(t4)))) != or(X_148,and(t4,not(X_148)))
| or(t3,or(X_148,not(or(X_148,not(t4))))) = or(t3,or(X_148,and(t4,not(X_148)))) ),
inference(resolve,[$cnf( $equal(or(t3,or(X_148,not(or(X_148,not(t4))))),or(t3,or(X_148,not(or(X_148,not(t4)))))) )],[refute_0_17846,refute_0_17847]) ).
cnf(refute_0_17849,plain,
or(t3,or(X_148,not(or(X_148,not(t4))))) = or(t3,or(X_148,and(t4,not(X_148)))),
inference(resolve,[$cnf( $equal(or(X_148,not(or(X_148,not(t4)))),or(X_148,and(t4,not(X_148)))) )],[refute_0_17845,refute_0_17848]) ).
cnf(refute_0_17850,plain,
( or(t3,or(X_148,not(or(X_148,not(t4))))) != or(t3,ll1)
| or(t3,or(X_148,not(or(X_148,not(t4))))) != or(t3,or(X_148,and(t4,not(X_148))))
| or(t3,or(X_148,and(t4,not(X_148)))) = or(t3,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,or(X_148,not(or(X_148,not(t4))))),or(t3,ll1)) ),[0],$fot(or(t3,or(X_148,and(t4,not(X_148)))))]]) ).
cnf(refute_0_17851,plain,
( or(t3,or(X_148,not(or(X_148,not(t4))))) != or(t3,ll1)
| or(t3,or(X_148,and(t4,not(X_148)))) = or(t3,ll1) ),
inference(resolve,[$cnf( $equal(or(t3,or(X_148,not(or(X_148,not(t4))))),or(t3,or(X_148,and(t4,not(X_148))))) )],[refute_0_17849,refute_0_17850]) ).
cnf(refute_0_17852,plain,
( or(t3,ll1) != ll1
| or(t3,or(X_148,and(t4,not(X_148)))) != or(t3,ll1)
| or(t3,or(X_148,and(t4,not(X_148)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,or(X_148,and(t4,not(X_148)))),or(t3,ll1)) ),[1],$fot(ll1)]]) ).
cnf(refute_0_17853,plain,
( or(t3,or(X_148,and(t4,not(X_148)))) != or(t3,ll1)
| or(t3,or(X_148,and(t4,not(X_148)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t3,ll1),ll1) )],[refute_0_650,refute_0_17852]) ).
cnf(refute_0_17854,plain,
( or(t3,or(X_148,not(or(X_148,not(t4))))) != or(t3,ll1)
| or(t3,or(X_148,and(t4,not(X_148)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t3,or(X_148,and(t4,not(X_148)))),or(t3,ll1)) )],[refute_0_17851,refute_0_17853]) ).
cnf(refute_0_17855,plain,
or(t3,or(X_148,and(t4,not(X_148)))) = ll1,
inference(resolve,[$cnf( $equal(or(t3,or(X_148,not(or(X_148,not(t4))))),or(t3,ll1)) )],[refute_0_17836,refute_0_17854]) ).
cnf(refute_0_17856,plain,
or(t3,or(cin,and(t4,not(cin)))) = ll1,
inference(subst,[],[refute_0_17855:[bind(X_148,$fot(cin))]]) ).
cnf(refute_0_17857,plain,
( and(t4,not(cin)) != not(or(cin,t6))
| or(t3,or(cin,and(t4,not(cin)))) != ll1
| or(t3,or(cin,not(or(cin,t6)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,or(cin,and(t4,not(cin)))),ll1) ),[0,1,1],$fot(not(or(cin,t6)))]]) ).
cnf(refute_0_17858,plain,
( or(t3,or(cin,and(t4,not(cin)))) != ll1
| or(t3,or(cin,not(or(cin,t6)))) = ll1 ),
inference(resolve,[$cnf( $equal(and(t4,not(cin)),not(or(cin,t6))) )],[refute_0_5467,refute_0_17857]) ).
cnf(refute_0_17859,plain,
or(t3,or(cin,not(or(cin,t6)))) = ll1,
inference(resolve,[$cnf( $equal(or(t3,or(cin,and(t4,not(cin)))),ll1) )],[refute_0_17856,refute_0_17858]) ).
cnf(refute_0_17860,plain,
or(t3,or(cin,not(or(cin,t6)))) = or(cin,or(t3,not(or(cin,t6)))),
inference(subst,[],[refute_0_267:[bind(X_37,$fot(t3)),bind(X_38,$fot(cin)),bind(X_39,$fot(not(or(cin,t6))))]]) ).
cnf(refute_0_17861,plain,
( or(t3,or(cin,not(or(cin,t6)))) != ll1
| or(t3,or(cin,not(or(cin,t6)))) != or(cin,or(t3,not(or(cin,t6))))
| or(cin,or(t3,not(or(cin,t6)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,or(cin,not(or(cin,t6)))),ll1) ),[0],$fot(or(cin,or(t3,not(or(cin,t6)))))]]) ).
cnf(refute_0_17862,plain,
( or(t3,or(cin,not(or(cin,t6)))) != ll1
| or(cin,or(t3,not(or(cin,t6)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t3,or(cin,not(or(cin,t6)))),or(cin,or(t3,not(or(cin,t6))))) )],[refute_0_17860,refute_0_17861]) ).
cnf(refute_0_17863,plain,
or(cin,or(t3,not(or(cin,t6)))) = ll1,
inference(resolve,[$cnf( $equal(or(t3,or(cin,not(or(cin,t6)))),ll1) )],[refute_0_17859,refute_0_17862]) ).
cnf(refute_0_17864,plain,
( and(or(cin,or(t3,not(or(cin,t6)))),not(or(or(t3,not(or(cin,t6))),cin))) != ll0
| or(cin,or(t3,not(or(cin,t6)))) != ll1
| and(ll1,not(or(or(t3,not(or(cin,t6))),cin))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(cin,or(t3,not(or(cin,t6)))),not(or(or(t3,not(or(cin,t6))),cin))),ll0) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_17865,plain,
( and(or(cin,or(t3,not(or(cin,t6)))),not(or(or(t3,not(or(cin,t6))),cin))) != ll0
| and(ll1,not(or(or(t3,not(or(cin,t6))),cin))) = ll0 ),
inference(resolve,[$cnf( $equal(or(cin,or(t3,not(or(cin,t6)))),ll1) )],[refute_0_17863,refute_0_17864]) ).
cnf(refute_0_17866,plain,
and(ll1,not(or(or(t3,not(or(cin,t6))),cin))) = ll0,
inference(resolve,[$cnf( $equal(and(or(cin,or(t3,not(or(cin,t6)))),not(or(or(t3,not(or(cin,t6))),cin))),ll0) )],[refute_0_17823,refute_0_17865]) ).
cnf(refute_0_17867,plain,
and(not(or(cin,t3)),or(cin,t6)) = and(or(cin,t6),not(or(cin,t3))),
inference(subst,[],[refute_0_116:[bind(X,$fot(or(cin,t6))),bind(Y,$fot(not(or(cin,t3))))]]) ).
cnf(refute_0_17868,plain,
not(or(cin,or(t3,not(or(cin,t6))))) = and(not(or(cin,t3)),or(cin,t6)),
inference(subst,[],[refute_0_7097:[bind(X,$fot(cin)),bind(Y,$fot(t3)),bind(X_78,$fot(or(cin,t6)))]]) ).
cnf(refute_0_17869,plain,
( and(not(or(cin,t3)),or(cin,t6)) != and(or(cin,t6),not(or(cin,t3)))
| not(or(cin,or(t3,not(or(cin,t6))))) != and(not(or(cin,t3)),or(cin,t6))
| not(or(cin,or(t3,not(or(cin,t6))))) = and(or(cin,t6),not(or(cin,t3))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(cin,or(t3,not(or(cin,t6))))))),bind(Y0,$fot(and(not(or(cin,t3)),or(cin,t6)))),bind(Z0,$fot(and(or(cin,t6),not(or(cin,t3)))))]]) ).
cnf(refute_0_17870,plain,
( and(not(or(cin,t3)),or(cin,t6)) != and(or(cin,t6),not(or(cin,t3)))
| not(or(cin,or(t3,not(or(cin,t6))))) = and(or(cin,t6),not(or(cin,t3))) ),
inference(resolve,[$cnf( $equal(not(or(cin,or(t3,not(or(cin,t6))))),and(not(or(cin,t3)),or(cin,t6))) )],[refute_0_17868,refute_0_17869]) ).
cnf(refute_0_17871,plain,
not(or(cin,or(t3,not(or(cin,t6))))) = and(or(cin,t6),not(or(cin,t3))),
inference(resolve,[$cnf( $equal(and(not(or(cin,t3)),or(cin,t6)),and(or(cin,t6),not(or(cin,t3)))) )],[refute_0_17867,refute_0_17870]) ).
cnf(refute_0_17872,plain,
and(ll1,not(or(cin,or(t3,not(or(cin,t6)))))) = not(or(cin,or(t3,not(or(cin,t6))))),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(or(cin,or(t3,not(or(cin,t6)))))))]]) ).
cnf(refute_0_17873,plain,
( and(ll1,not(or(cin,or(t3,not(or(cin,t6)))))) != not(or(cin,or(t3,not(or(cin,t6)))))
| not(or(cin,or(t3,not(or(cin,t6))))) != and(or(cin,t6),not(or(cin,t3)))
| and(ll1,not(or(cin,or(t3,not(or(cin,t6)))))) = and(or(cin,t6),not(or(cin,t3))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(cin,or(t3,not(or(cin,t6)))))))),bind(Y0,$fot(not(or(cin,or(t3,not(or(cin,t6))))))),bind(Z0,$fot(and(or(cin,t6),not(or(cin,t3)))))]]) ).
cnf(refute_0_17874,plain,
( not(or(cin,or(t3,not(or(cin,t6))))) != and(or(cin,t6),not(or(cin,t3)))
| and(ll1,not(or(cin,or(t3,not(or(cin,t6)))))) = and(or(cin,t6),not(or(cin,t3))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(cin,or(t3,not(or(cin,t6)))))),not(or(cin,or(t3,not(or(cin,t6)))))) )],[refute_0_17872,refute_0_17873]) ).
cnf(refute_0_17875,plain,
and(ll1,not(or(cin,or(t3,not(or(cin,t6)))))) = and(or(cin,t6),not(or(cin,t3))),
inference(resolve,[$cnf( $equal(not(or(cin,or(t3,not(or(cin,t6))))),and(or(cin,t6),not(or(cin,t3)))) )],[refute_0_17871,refute_0_17874]) ).
cnf(refute_0_17876,plain,
and(ll1,not(or(or(t3,not(or(cin,t6))),cin))) = and(ll1,not(or(cin,or(t3,not(or(cin,t6)))))),
inference(subst,[],[refute_0_815:[bind(X_25,$fot(cin)),bind(X_26,$fot(or(t3,not(or(cin,t6))))),bind(X_29,$fot(ll1))]]) ).
cnf(refute_0_17877,plain,
( and(ll1,not(or(cin,or(t3,not(or(cin,t6)))))) != and(or(cin,t6),not(or(cin,t3)))
| and(ll1,not(or(or(t3,not(or(cin,t6))),cin))) != and(ll1,not(or(cin,or(t3,not(or(cin,t6))))))
| and(ll1,not(or(or(t3,not(or(cin,t6))),cin))) = and(or(cin,t6),not(or(cin,t3))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(or(t3,not(or(cin,t6))),cin))))),bind(Y0,$fot(and(ll1,not(or(cin,or(t3,not(or(cin,t6)))))))),bind(Z0,$fot(and(or(cin,t6),not(or(cin,t3)))))]]) ).
cnf(refute_0_17878,plain,
( and(ll1,not(or(cin,or(t3,not(or(cin,t6)))))) != and(or(cin,t6),not(or(cin,t3)))
| and(ll1,not(or(or(t3,not(or(cin,t6))),cin))) = and(or(cin,t6),not(or(cin,t3))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(or(t3,not(or(cin,t6))),cin))),and(ll1,not(or(cin,or(t3,not(or(cin,t6))))))) )],[refute_0_17876,refute_0_17877]) ).
cnf(refute_0_17879,plain,
and(ll1,not(or(or(t3,not(or(cin,t6))),cin))) = and(or(cin,t6),not(or(cin,t3))),
inference(resolve,[$cnf( $equal(and(ll1,not(or(cin,or(t3,not(or(cin,t6)))))),and(or(cin,t6),not(or(cin,t3)))) )],[refute_0_17875,refute_0_17878]) ).
cnf(refute_0_17880,plain,
( and(ll1,not(or(or(t3,not(or(cin,t6))),cin))) != and(or(cin,t6),not(or(cin,t3)))
| and(ll1,not(or(or(t3,not(or(cin,t6))),cin))) != ll0
| and(or(cin,t6),not(or(cin,t3))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(ll1,not(or(or(t3,not(or(cin,t6))),cin))),ll0) ),[0],$fot(and(or(cin,t6),not(or(cin,t3))))]]) ).
cnf(refute_0_17881,plain,
( and(ll1,not(or(or(t3,not(or(cin,t6))),cin))) != ll0
| and(or(cin,t6),not(or(cin,t3))) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(or(t3,not(or(cin,t6))),cin))),and(or(cin,t6),not(or(cin,t3)))) )],[refute_0_17879,refute_0_17880]) ).
cnf(refute_0_17882,plain,
and(or(cin,t6),not(or(cin,t3))) = ll0,
inference(resolve,[$cnf( $equal(and(ll1,not(or(or(t3,not(or(cin,t6))),cin))),ll0) )],[refute_0_17866,refute_0_17881]) ).
cnf(refute_0_17883,plain,
( and(or(cin,t6),not(or(cin,t3))) != ll0
| or(and(or(cin,t6),not(or(cin,t3))),and(not(or(cin,t6)),or(cin,t3))) != xor(or(cin,t6),or(cin,t3))
| or(ll0,and(not(or(cin,t6)),or(cin,t3))) = xor(or(cin,t6),or(cin,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(or(cin,t6),not(or(cin,t3))),and(not(or(cin,t6)),or(cin,t3))),xor(or(cin,t6),or(cin,t3))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_17884,plain,
( or(and(or(cin,t6),not(or(cin,t3))),and(not(or(cin,t6)),or(cin,t3))) != xor(or(cin,t6),or(cin,t3))
| or(ll0,and(not(or(cin,t6)),or(cin,t3))) = xor(or(cin,t6),or(cin,t3)) ),
inference(resolve,[$cnf( $equal(and(or(cin,t6),not(or(cin,t3))),ll0) )],[refute_0_17882,refute_0_17883]) ).
cnf(refute_0_17885,plain,
or(ll0,and(not(or(cin,t6)),or(cin,t3))) = xor(or(cin,t6),or(cin,t3)),
inference(resolve,[$cnf( $equal(or(and(or(cin,t6),not(or(cin,t3))),and(not(or(cin,t6)),or(cin,t3))),xor(or(cin,t6),or(cin,t3))) )],[refute_0_17822,refute_0_17884]) ).
cnf(refute_0_17886,plain,
and(and(t4,not(cin)),Z) = and(t4,and(not(cin),Z)),
inference(subst,[],[and_associative:[bind(X,$fot(t4)),bind(Y,$fot(not(cin)))]]) ).
cnf(refute_0_17887,plain,
( and(and(t4,not(cin)),Z) != and(t4,and(not(cin),Z))
| and(t4,not(cin)) != not(or(cin,t6))
| and(not(or(cin,t6)),Z) = and(t4,and(not(cin),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t4,not(cin)),Z),and(t4,and(not(cin),Z))) ),[0,0],$fot(not(or(cin,t6)))]]) ).
cnf(refute_0_17888,plain,
( and(and(t4,not(cin)),Z) != and(t4,and(not(cin),Z))
| and(not(or(cin,t6)),Z) = and(t4,and(not(cin),Z)) ),
inference(resolve,[$cnf( $equal(and(t4,not(cin)),not(or(cin,t6))) )],[refute_0_5467,refute_0_17887]) ).
cnf(refute_0_17889,plain,
and(not(or(cin,t6)),Z) = and(t4,and(not(cin),Z)),
inference(resolve,[$cnf( $equal(and(and(t4,not(cin)),Z),and(t4,and(not(cin),Z))) )],[refute_0_17886,refute_0_17888]) ).
cnf(refute_0_17890,plain,
and(not(or(cin,t6)),or(cin,t3)) = and(t4,and(not(cin),or(cin,t3))),
inference(subst,[],[refute_0_17889:[bind(Z,$fot(or(cin,t3)))]]) ).
cnf(refute_0_17891,plain,
or(ll0,and(not(or(cin,t6)),or(cin,t3))) = and(not(or(cin,t6)),or(cin,t3)),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(or(cin,t6)),or(cin,t3))))]]) ).
cnf(refute_0_17892,plain,
( and(not(or(cin,t6)),or(cin,t3)) != and(t4,and(not(cin),or(cin,t3)))
| or(ll0,and(not(or(cin,t6)),or(cin,t3))) != and(not(or(cin,t6)),or(cin,t3))
| or(ll0,and(not(or(cin,t6)),or(cin,t3))) = and(t4,and(not(cin),or(cin,t3))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(ll0,and(not(or(cin,t6)),or(cin,t3))))),bind(Y0,$fot(and(not(or(cin,t6)),or(cin,t3)))),bind(Z0,$fot(and(t4,and(not(cin),or(cin,t3)))))]]) ).
cnf(refute_0_17893,plain,
( and(not(or(cin,t6)),or(cin,t3)) != and(t4,and(not(cin),or(cin,t3)))
| or(ll0,and(not(or(cin,t6)),or(cin,t3))) = and(t4,and(not(cin),or(cin,t3))) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(or(cin,t6)),or(cin,t3))),and(not(or(cin,t6)),or(cin,t3))) )],[refute_0_17891,refute_0_17892]) ).
cnf(refute_0_17894,plain,
or(ll0,and(not(or(cin,t6)),or(cin,t3))) = and(t4,and(not(cin),or(cin,t3))),
inference(resolve,[$cnf( $equal(and(not(or(cin,t6)),or(cin,t3)),and(t4,and(not(cin),or(cin,t3)))) )],[refute_0_17890,refute_0_17893]) ).
cnf(refute_0_17895,plain,
( or(ll0,and(not(or(cin,t6)),or(cin,t3))) != and(t4,and(not(cin),or(cin,t3)))
| or(ll0,and(not(or(cin,t6)),or(cin,t3))) != xor(or(cin,t6),or(cin,t3))
| and(t4,and(not(cin),or(cin,t3))) = xor(or(cin,t6),or(cin,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(or(cin,t6)),or(cin,t3))),xor(or(cin,t6),or(cin,t3))) ),[0],$fot(and(t4,and(not(cin),or(cin,t3))))]]) ).
cnf(refute_0_17896,plain,
( or(ll0,and(not(or(cin,t6)),or(cin,t3))) != xor(or(cin,t6),or(cin,t3))
| and(t4,and(not(cin),or(cin,t3))) = xor(or(cin,t6),or(cin,t3)) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(or(cin,t6)),or(cin,t3))),and(t4,and(not(cin),or(cin,t3)))) )],[refute_0_17894,refute_0_17895]) ).
cnf(refute_0_17897,plain,
xor(or(cin,t6),or(cin,t3)) = xor(or(cin,t3),or(cin,t6)),
inference(subst,[],[refute_0_1913:[bind(X,$fot(or(cin,t3))),bind(Y,$fot(or(cin,t6)))]]) ).
cnf(refute_0_17898,plain,
( and(t4,and(not(cin),or(cin,t3))) != xor(or(cin,t6),or(cin,t3))
| xor(or(cin,t6),or(cin,t3)) != xor(or(cin,t3),or(cin,t6))
| and(t4,and(not(cin),or(cin,t3))) = xor(or(cin,t3),or(cin,t6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t4,and(not(cin),or(cin,t3))),xor(or(cin,t3),or(cin,t6))) ),[0],$fot(xor(or(cin,t6),or(cin,t3)))]]) ).
cnf(refute_0_17899,plain,
( and(t4,and(not(cin),or(cin,t3))) != xor(or(cin,t6),or(cin,t3))
| and(t4,and(not(cin),or(cin,t3))) = xor(or(cin,t3),or(cin,t6)) ),
inference(resolve,[$cnf( $equal(xor(or(cin,t6),or(cin,t3)),xor(or(cin,t3),or(cin,t6))) )],[refute_0_17897,refute_0_17898]) ).
cnf(refute_0_17900,plain,
( or(ll0,and(not(or(cin,t6)),or(cin,t3))) != xor(or(cin,t6),or(cin,t3))
| and(t4,and(not(cin),or(cin,t3))) = xor(or(cin,t3),or(cin,t6)) ),
inference(resolve,[$cnf( $equal(and(t4,and(not(cin),or(cin,t3))),xor(or(cin,t6),or(cin,t3))) )],[refute_0_17896,refute_0_17899]) ).
cnf(refute_0_17901,plain,
and(t4,and(not(cin),or(cin,t3))) = xor(or(cin,t3),or(cin,t6)),
inference(resolve,[$cnf( $equal(or(ll0,and(not(or(cin,t6)),or(cin,t3))),xor(or(cin,t6),or(cin,t3))) )],[refute_0_17885,refute_0_17900]) ).
cnf(refute_0_17902,plain,
and(not(or(cin,t6)),Z) = and(not(or(cin,t6)),Z),
introduced(tautology,[refl,[$fot(and(not(or(cin,t6)),Z))]]) ).
cnf(refute_0_17903,plain,
( and(not(or(cin,t6)),Z) != and(not(or(cin,t6)),Z)
| not(or(cin,t6)) != not(t6)
| and(not(or(cin,t6)),Z) = and(not(t6),Z) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(or(cin,t6)),Z),and(not(or(cin,t6)),Z)) ),[1,0],$fot(not(t6))]]) ).
cnf(refute_0_17904,plain,
( not(or(cin,t6)) != not(t6)
| and(not(or(cin,t6)),Z) = and(not(t6),Z) ),
inference(resolve,[$cnf( $equal(and(not(or(cin,t6)),Z),and(not(or(cin,t6)),Z)) )],[refute_0_17902,refute_0_17903]) ).
cnf(refute_0_17905,plain,
and(not(or(cin,t6)),Z) = and(not(t6),Z),
inference(resolve,[$cnf( $equal(not(or(cin,t6)),not(t6)) )],[refute_0_15984,refute_0_17904]) ).
cnf(refute_0_17906,plain,
( and(not(or(cin,t6)),Z) != and(not(t6),Z)
| and(not(or(cin,t6)),Z) != and(t4,and(not(cin),Z))
| and(not(t6),Z) = and(t4,and(not(cin),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(or(cin,t6)),Z),and(t4,and(not(cin),Z))) ),[0],$fot(and(not(t6),Z))]]) ).
cnf(refute_0_17907,plain,
( and(not(or(cin,t6)),Z) != and(t4,and(not(cin),Z))
| and(not(t6),Z) = and(t4,and(not(cin),Z)) ),
inference(resolve,[$cnf( $equal(and(not(or(cin,t6)),Z),and(not(t6),Z)) )],[refute_0_17905,refute_0_17906]) ).
cnf(refute_0_17908,plain,
and(not(t6),Z) = and(t4,and(not(cin),Z)),
inference(resolve,[$cnf( $equal(and(not(or(cin,t6)),Z),and(t4,and(not(cin),Z))) )],[refute_0_17889,refute_0_17907]) ).
cnf(refute_0_17909,plain,
( and(not(t6),Z) != and(t4,and(not(cin),Z))
| and(t4,and(not(cin),Z)) = and(not(t6),Z) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t6),Z))),bind(Y0,$fot(and(t4,and(not(cin),Z))))]]) ).
cnf(refute_0_17910,plain,
and(t4,and(not(cin),Z)) = and(not(t6),Z),
inference(resolve,[$cnf( $equal(and(not(t6),Z),and(t4,and(not(cin),Z))) )],[refute_0_17908,refute_0_17909]) ).
cnf(refute_0_17911,plain,
and(t4,and(not(cin),or(cin,t3))) = and(not(t6),or(cin,t3)),
inference(subst,[],[refute_0_17910:[bind(Z,$fot(or(cin,t3)))]]) ).
cnf(refute_0_17912,plain,
( and(t4,and(not(cin),or(cin,t3))) != and(not(t6),or(cin,t3))
| and(t4,and(not(cin),or(cin,t3))) != xor(or(cin,t3),or(cin,t6))
| and(not(t6),or(cin,t3)) = xor(or(cin,t3),or(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,and(not(cin),or(cin,t3))),xor(or(cin,t3),or(cin,t6))) ),[0],$fot(and(not(t6),or(cin,t3)))]]) ).
cnf(refute_0_17913,plain,
( and(t4,and(not(cin),or(cin,t3))) != xor(or(cin,t3),or(cin,t6))
| and(not(t6),or(cin,t3)) = xor(or(cin,t3),or(cin,t6)) ),
inference(resolve,[$cnf( $equal(and(t4,and(not(cin),or(cin,t3))),and(not(t6),or(cin,t3))) )],[refute_0_17911,refute_0_17912]) ).
cnf(refute_0_17914,plain,
xor(or(cin,t3),t6) = xor(t6,or(cin,t3)),
inference(subst,[],[refute_0_1484:[bind(X_333,$fot(or(cin,t3)))]]) ).
cnf(refute_0_17915,plain,
xor(or(cin,t3),or(cin,t6)) = xor(or(cin,t3),or(cin,t6)),
introduced(tautology,[refl,[$fot(xor(or(cin,t3),or(cin,t6)))]]) ).
cnf(refute_0_17916,plain,
( or(cin,t6) != t6
| xor(or(cin,t3),or(cin,t6)) != xor(or(cin,t3),or(cin,t6))
| xor(or(cin,t3),or(cin,t6)) = xor(or(cin,t3),t6) ),
introduced(tautology,[equality,[$cnf( $equal(xor(or(cin,t3),or(cin,t6)),xor(or(cin,t3),or(cin,t6))) ),[1,1],$fot(t6)]]) ).
cnf(refute_0_17917,plain,
( or(cin,t6) != t6
| xor(or(cin,t3),or(cin,t6)) = xor(or(cin,t3),t6) ),
inference(resolve,[$cnf( $equal(xor(or(cin,t3),or(cin,t6)),xor(or(cin,t3),or(cin,t6))) )],[refute_0_17915,refute_0_17916]) ).
cnf(refute_0_17918,plain,
xor(or(cin,t3),or(cin,t6)) = xor(or(cin,t3),t6),
inference(resolve,[$cnf( $equal(or(cin,t6),t6) )],[refute_0_5492,refute_0_17917]) ).
cnf(refute_0_17919,plain,
( xor(or(cin,t3),or(cin,t6)) != xor(or(cin,t3),t6)
| xor(or(cin,t3),t6) != xor(t6,or(cin,t3))
| xor(or(cin,t3),or(cin,t6)) = xor(t6,or(cin,t3)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(or(cin,t3),or(cin,t6)))),bind(Y0,$fot(xor(or(cin,t3),t6))),bind(Z0,$fot(xor(t6,or(cin,t3))))]]) ).
cnf(refute_0_17920,plain,
( xor(or(cin,t3),t6) != xor(t6,or(cin,t3))
| xor(or(cin,t3),or(cin,t6)) = xor(t6,or(cin,t3)) ),
inference(resolve,[$cnf( $equal(xor(or(cin,t3),or(cin,t6)),xor(or(cin,t3),t6)) )],[refute_0_17918,refute_0_17919]) ).
cnf(refute_0_17921,plain,
xor(or(cin,t3),or(cin,t6)) = xor(t6,or(cin,t3)),
inference(resolve,[$cnf( $equal(xor(or(cin,t3),t6),xor(t6,or(cin,t3))) )],[refute_0_17914,refute_0_17920]) ).
cnf(refute_0_17922,plain,
( and(not(t6),or(cin,t3)) != xor(or(cin,t3),or(cin,t6))
| xor(or(cin,t3),or(cin,t6)) != xor(t6,or(cin,t3))
| and(not(t6),or(cin,t3)) = xor(t6,or(cin,t3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(t6),or(cin,t3)),xor(t6,or(cin,t3))) ),[0],$fot(xor(or(cin,t3),or(cin,t6)))]]) ).
cnf(refute_0_17923,plain,
( and(not(t6),or(cin,t3)) != xor(or(cin,t3),or(cin,t6))
| and(not(t6),or(cin,t3)) = xor(t6,or(cin,t3)) ),
inference(resolve,[$cnf( $equal(xor(or(cin,t3),or(cin,t6)),xor(t6,or(cin,t3))) )],[refute_0_17921,refute_0_17922]) ).
cnf(refute_0_17924,plain,
( and(t4,and(not(cin),or(cin,t3))) != xor(or(cin,t3),or(cin,t6))
| and(not(t6),or(cin,t3)) = xor(t6,or(cin,t3)) ),
inference(resolve,[$cnf( $equal(and(not(t6),or(cin,t3)),xor(or(cin,t3),or(cin,t6))) )],[refute_0_17913,refute_0_17923]) ).
cnf(refute_0_17925,plain,
and(not(t6),or(cin,t3)) = xor(t6,or(cin,t3)),
inference(resolve,[$cnf( $equal(and(t4,and(not(cin),or(cin,t3))),xor(or(cin,t3),or(cin,t6))) )],[refute_0_17901,refute_0_17924]) ).
cnf(refute_0_17926,plain,
( and(not(t6),or(cin,t3)) != xor(t6,or(cin,t3))
| ll0 != and(t6,and(not(t6),or(cin,t3)))
| ll0 = and(t6,xor(t6,or(cin,t3))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(t6,and(not(t6),or(cin,t3)))) ),[1,1],$fot(xor(t6,or(cin,t3)))]]) ).
cnf(refute_0_17927,plain,
( ll0 != and(t6,and(not(t6),or(cin,t3)))
| ll0 = and(t6,xor(t6,or(cin,t3))) ),
inference(resolve,[$cnf( $equal(and(not(t6),or(cin,t3)),xor(t6,or(cin,t3))) )],[refute_0_17925,refute_0_17926]) ).
cnf(refute_0_17928,plain,
ll0 = and(t6,xor(t6,or(cin,t3))),
inference(resolve,[$cnf( $equal(ll0,and(t6,and(not(t6),or(cin,t3)))) )],[refute_0_17821,refute_0_17927]) ).
cnf(refute_0_17929,plain,
( ll0 != and(t6,xor(t6,or(cin,t3)))
| and(t6,xor(t6,or(cin,t3))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(t6,xor(t6,or(cin,t3)))))]]) ).
cnf(refute_0_17930,plain,
and(t6,xor(t6,or(cin,t3))) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(t6,xor(t6,or(cin,t3)))) )],[refute_0_17928,refute_0_17929]) ).
cnf(refute_0_17931,plain,
( and(not(t4),xor(t6,or(cin,t3))) != and(t5,and(t6,xor(t6,or(cin,t3))))
| and(t6,xor(t6,or(cin,t3))) != ll0
| and(not(t4),xor(t6,or(cin,t3))) = and(t5,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),xor(t6,or(cin,t3))),and(t5,and(t6,xor(t6,or(cin,t3))))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_17932,plain,
( and(not(t4),xor(t6,or(cin,t3))) != and(t5,and(t6,xor(t6,or(cin,t3))))
| and(not(t4),xor(t6,or(cin,t3))) = and(t5,ll0) ),
inference(resolve,[$cnf( $equal(and(t6,xor(t6,or(cin,t3))),ll0) )],[refute_0_17930,refute_0_17931]) ).
cnf(refute_0_17933,plain,
and(not(t4),xor(t6,or(cin,t3))) = and(t5,ll0),
inference(resolve,[$cnf( $equal(and(not(t4),xor(t6,or(cin,t3))),and(t5,and(t6,xor(t6,or(cin,t3))))) )],[refute_0_17820,refute_0_17932]) ).
cnf(refute_0_17934,plain,
( and(not(t4),xor(t6,or(cin,t3))) != and(t5,ll0)
| and(t5,ll0) != ll0
| and(not(t4),xor(t6,or(cin,t3))) = ll0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(t4),xor(t6,or(cin,t3))),ll0) ),[0],$fot(and(t5,ll0))]]) ).
cnf(refute_0_17935,plain,
( and(not(t4),xor(t6,or(cin,t3))) != and(t5,ll0)
| and(not(t4),xor(t6,or(cin,t3))) = ll0 ),
inference(resolve,[$cnf( $equal(and(t5,ll0),ll0) )],[refute_0_12257,refute_0_17934]) ).
cnf(refute_0_17936,plain,
and(not(t4),xor(t6,or(cin,t3))) = ll0,
inference(resolve,[$cnf( $equal(and(not(t4),xor(t6,or(cin,t3))),and(t5,ll0)) )],[refute_0_17933,refute_0_17935]) ).
cnf(refute_0_17937,plain,
( and(not(t4),xor(t6,or(cin,t3))) != ll0
| or(and(t4,not(xor(t6,or(cin,t3)))),and(not(t4),xor(t6,or(cin,t3)))) != xor(t4,xor(t6,or(cin,t3)))
| or(and(t4,not(xor(t6,or(cin,t3)))),ll0) = xor(t4,xor(t6,or(cin,t3))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,not(xor(t6,or(cin,t3)))),and(not(t4),xor(t6,or(cin,t3)))),xor(t4,xor(t6,or(cin,t3)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_17938,plain,
( or(and(t4,not(xor(t6,or(cin,t3)))),and(not(t4),xor(t6,or(cin,t3)))) != xor(t4,xor(t6,or(cin,t3)))
| or(and(t4,not(xor(t6,or(cin,t3)))),ll0) = xor(t4,xor(t6,or(cin,t3))) ),
inference(resolve,[$cnf( $equal(and(not(t4),xor(t6,or(cin,t3))),ll0) )],[refute_0_17936,refute_0_17937]) ).
cnf(refute_0_17939,plain,
or(and(t4,not(xor(t6,or(cin,t3)))),ll0) = xor(t4,xor(t6,or(cin,t3))),
inference(resolve,[$cnf( $equal(or(and(t4,not(xor(t6,or(cin,t3)))),and(not(t4),xor(t6,or(cin,t3)))),xor(t4,xor(t6,or(cin,t3)))) )],[refute_0_17819,refute_0_17938]) ).
cnf(refute_0_17940,plain,
or(and(t4,not(xor(t6,or(cin,t3)))),ll0) = and(t4,not(xor(t6,or(cin,t3)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t4,not(xor(t6,or(cin,t3))))))]]) ).
cnf(refute_0_17941,plain,
( or(and(t4,not(xor(t6,or(cin,t3)))),ll0) != and(t4,not(xor(t6,or(cin,t3))))
| or(and(t4,not(xor(t6,or(cin,t3)))),ll0) != xor(t4,xor(t6,or(cin,t3)))
| and(t4,not(xor(t6,or(cin,t3)))) = xor(t4,xor(t6,or(cin,t3))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,not(xor(t6,or(cin,t3)))),ll0),xor(t4,xor(t6,or(cin,t3)))) ),[0],$fot(and(t4,not(xor(t6,or(cin,t3)))))]]) ).
cnf(refute_0_17942,plain,
( or(and(t4,not(xor(t6,or(cin,t3)))),ll0) != xor(t4,xor(t6,or(cin,t3)))
| and(t4,not(xor(t6,or(cin,t3)))) = xor(t4,xor(t6,or(cin,t3))) ),
inference(resolve,[$cnf( $equal(or(and(t4,not(xor(t6,or(cin,t3)))),ll0),and(t4,not(xor(t6,or(cin,t3))))) )],[refute_0_17940,refute_0_17941]) ).
cnf(refute_0_17943,plain,
xor(t4,xor(t6,or(cin,t3))) = xor(t5,or(cin,t3)),
inference(subst,[],[refute_0_13087:[bind(Y,$fot(or(cin,t3)))]]) ).
cnf(refute_0_17944,plain,
( and(t4,not(xor(t6,or(cin,t3)))) != xor(t4,xor(t6,or(cin,t3)))
| xor(t4,xor(t6,or(cin,t3))) != xor(t5,or(cin,t3))
| and(t4,not(xor(t6,or(cin,t3)))) = xor(t5,or(cin,t3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t4,not(xor(t6,or(cin,t3)))),xor(t5,or(cin,t3))) ),[0],$fot(xor(t4,xor(t6,or(cin,t3))))]]) ).
cnf(refute_0_17945,plain,
( and(t4,not(xor(t6,or(cin,t3)))) != xor(t4,xor(t6,or(cin,t3)))
| and(t4,not(xor(t6,or(cin,t3)))) = xor(t5,or(cin,t3)) ),
inference(resolve,[$cnf( $equal(xor(t4,xor(t6,or(cin,t3))),xor(t5,or(cin,t3))) )],[refute_0_17943,refute_0_17944]) ).
cnf(refute_0_17946,plain,
( or(and(t4,not(xor(t6,or(cin,t3)))),ll0) != xor(t4,xor(t6,or(cin,t3)))
| and(t4,not(xor(t6,or(cin,t3)))) = xor(t5,or(cin,t3)) ),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t6,or(cin,t3)))),xor(t4,xor(t6,or(cin,t3)))) )],[refute_0_17942,refute_0_17945]) ).
cnf(refute_0_17947,plain,
and(t4,not(xor(t6,or(cin,t3)))) = xor(t5,or(cin,t3)),
inference(resolve,[$cnf( $equal(or(and(t4,not(xor(t6,or(cin,t3)))),ll0),xor(t4,xor(t6,or(cin,t3)))) )],[refute_0_17939,refute_0_17946]) ).
cnf(refute_0_17948,plain,
or(t6,t3) = or(cin,or(t3,xor(cin,t6))),
inference(subst,[],[refute_0_17186:[bind(X_397,$fot(t3))]]) ).
cnf(refute_0_17949,plain,
or(t3,xor(t4,t7)) = or(t3,or(not(t4),xor(t4,t7))),
inference(subst,[],[refute_0_622:[bind(X_39,$fot(xor(t4,t7)))]]) ).
cnf(refute_0_17950,plain,
( or(not(t4),xor(t4,t7)) != not(t4)
| or(t3,xor(t4,t7)) != or(t3,or(not(t4),xor(t4,t7)))
| or(t3,xor(t4,t7)) = or(t3,not(t4)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,xor(t4,t7)),or(t3,or(not(t4),xor(t4,t7)))) ),[1,1],$fot(not(t4))]]) ).
cnf(refute_0_17951,plain,
( or(t3,xor(t4,t7)) != or(t3,or(not(t4),xor(t4,t7)))
| or(t3,xor(t4,t7)) = or(t3,not(t4)) ),
inference(resolve,[$cnf( $equal(or(not(t4),xor(t4,t7)),not(t4)) )],[refute_0_2557,refute_0_17950]) ).
cnf(refute_0_17952,plain,
or(t3,xor(t4,t7)) = or(t3,not(t4)),
inference(resolve,[$cnf( $equal(or(t3,xor(t4,t7)),or(t3,or(not(t4),xor(t4,t7)))) )],[refute_0_17949,refute_0_17951]) ).
cnf(refute_0_17953,plain,
( or(t3,not(t4)) != t3
| or(t3,xor(t4,t7)) != or(t3,not(t4))
| or(t3,xor(t4,t7)) = t3 ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,xor(t4,t7)),or(t3,not(t4))) ),[1],$fot(t3)]]) ).
cnf(refute_0_17954,plain,
( or(t3,xor(t4,t7)) != or(t3,not(t4))
| or(t3,xor(t4,t7)) = t3 ),
inference(resolve,[$cnf( $equal(or(t3,not(t4)),t3) )],[refute_0_619,refute_0_17953]) ).
cnf(refute_0_17955,plain,
or(t3,xor(t4,t7)) = t3,
inference(resolve,[$cnf( $equal(or(t3,xor(t4,t7)),or(t3,not(t4))) )],[refute_0_17952,refute_0_17954]) ).
cnf(refute_0_17956,plain,
or(t3,xor(t4,t7)) = or(t3,xor(t4,t7)),
introduced(tautology,[refl,[$fot(or(t3,xor(t4,t7)))]]) ).
cnf(refute_0_17957,plain,
( or(t3,xor(t4,t7)) != or(t3,xor(t4,t7))
| xor(t4,t7) != xor(cin,t6)
| or(t3,xor(t4,t7)) = or(t3,xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,xor(t4,t7)),or(t3,xor(t4,t7))) ),[1,1],$fot(xor(cin,t6))]]) ).
cnf(refute_0_17958,plain,
( xor(t4,t7) != xor(cin,t6)
| or(t3,xor(t4,t7)) = or(t3,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(or(t3,xor(t4,t7)),or(t3,xor(t4,t7))) )],[refute_0_17956,refute_0_17957]) ).
cnf(refute_0_17959,plain,
or(t3,xor(t4,t7)) = or(t3,xor(cin,t6)),
inference(resolve,[$cnf( $equal(xor(t4,t7),xor(cin,t6)) )],[refute_0_2524,refute_0_17958]) ).
cnf(refute_0_17960,plain,
( or(t3,xor(t4,t7)) != or(t3,xor(cin,t6))
| or(t3,xor(t4,t7)) != t3
| or(t3,xor(cin,t6)) = t3 ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,xor(t4,t7)),t3) ),[0],$fot(or(t3,xor(cin,t6)))]]) ).
cnf(refute_0_17961,plain,
( or(t3,xor(t4,t7)) != t3
| or(t3,xor(cin,t6)) = t3 ),
inference(resolve,[$cnf( $equal(or(t3,xor(t4,t7)),or(t3,xor(cin,t6))) )],[refute_0_17959,refute_0_17960]) ).
cnf(refute_0_17962,plain,
or(t3,xor(cin,t6)) = t3,
inference(resolve,[$cnf( $equal(or(t3,xor(t4,t7)),t3) )],[refute_0_17955,refute_0_17961]) ).
cnf(refute_0_17963,plain,
( or(t3,xor(cin,t6)) != t3
| or(t6,t3) != or(cin,or(t3,xor(cin,t6)))
| or(t6,t3) = or(cin,t3) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,t3),or(cin,or(t3,xor(cin,t6)))) ),[1,1],$fot(t3)]]) ).
cnf(refute_0_17964,plain,
( or(t6,t3) != or(cin,or(t3,xor(cin,t6)))
| or(t6,t3) = or(cin,t3) ),
inference(resolve,[$cnf( $equal(or(t3,xor(cin,t6)),t3) )],[refute_0_17962,refute_0_17963]) ).
cnf(refute_0_17965,plain,
or(t6,t3) = or(cin,t3),
inference(resolve,[$cnf( $equal(or(t6,t3),or(cin,or(t3,xor(cin,t6)))) )],[refute_0_17948,refute_0_17964]) ).
cnf(refute_0_17966,plain,
or(t6,t3) = or(t3,t6),
inference(subst,[],[refute_0_5:[bind(X,$fot(t3)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_17967,plain,
( or(t3,t6) != or(a,t6)
| or(t6,t3) != or(t3,t6)
| or(t6,t3) = or(a,t6) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t6,t3))),bind(Y0,$fot(or(t3,t6))),bind(Z0,$fot(or(a,t6)))]]) ).
cnf(refute_0_17968,plain,
( or(t3,t6) != or(a,t6)
| or(t6,t3) = or(a,t6) ),
inference(resolve,[$cnf( $equal(or(t6,t3),or(t3,t6)) )],[refute_0_17966,refute_0_17967]) ).
cnf(refute_0_17969,plain,
or(t6,t3) = or(a,t6),
inference(resolve,[$cnf( $equal(or(t3,t6),or(a,t6)) )],[refute_0_13904,refute_0_17968]) ).
cnf(refute_0_17970,plain,
( or(t6,t3) != or(a,t6)
| or(t6,t3) != or(cin,t3)
| or(a,t6) = or(cin,t3) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,t3),or(cin,t3)) ),[0],$fot(or(a,t6))]]) ).
cnf(refute_0_17971,plain,
( or(t6,t3) != or(cin,t3)
| or(a,t6) = or(cin,t3) ),
inference(resolve,[$cnf( $equal(or(t6,t3),or(a,t6)) )],[refute_0_17969,refute_0_17970]) ).
cnf(refute_0_17972,plain,
or(a,t6) = or(cin,t3),
inference(resolve,[$cnf( $equal(or(t6,t3),or(cin,t3)) )],[refute_0_17965,refute_0_17971]) ).
cnf(refute_0_17973,plain,
( or(a,t6) != or(cin,t3)
| or(cin,t3) = or(a,t6) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(a,t6))),bind(Y0,$fot(or(cin,t3)))]]) ).
cnf(refute_0_17974,plain,
or(cin,t3) = or(a,t6),
inference(resolve,[$cnf( $equal(or(a,t6),or(cin,t3)) )],[refute_0_17972,refute_0_17973]) ).
cnf(refute_0_17975,plain,
xor(t6,or(cin,t3)) = xor(t6,or(cin,t3)),
introduced(tautology,[refl,[$fot(xor(t6,or(cin,t3)))]]) ).
cnf(refute_0_17976,plain,
( or(cin,t3) != or(a,t6)
| xor(t6,or(cin,t3)) != xor(t6,or(cin,t3))
| xor(t6,or(cin,t3)) = xor(t6,or(a,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,or(cin,t3)),xor(t6,or(cin,t3))) ),[1,1],$fot(or(a,t6))]]) ).
cnf(refute_0_17977,plain,
( or(cin,t3) != or(a,t6)
| xor(t6,or(cin,t3)) = xor(t6,or(a,t6)) ),
inference(resolve,[$cnf( $equal(xor(t6,or(cin,t3)),xor(t6,or(cin,t3))) )],[refute_0_17975,refute_0_17976]) ).
cnf(refute_0_17978,plain,
xor(t6,or(cin,t3)) = xor(t6,or(a,t6)),
inference(resolve,[$cnf( $equal(or(cin,t3),or(a,t6)) )],[refute_0_17974,refute_0_17977]) ).
cnf(refute_0_17979,plain,
not(xor(t6,or(cin,t3))) = not(xor(t6,or(cin,t3))),
introduced(tautology,[refl,[$fot(not(xor(t6,or(cin,t3))))]]) ).
cnf(refute_0_17980,plain,
( not(xor(t6,or(cin,t3))) != not(xor(t6,or(cin,t3)))
| xor(t6,or(cin,t3)) != xor(t6,or(a,t6))
| not(xor(t6,or(cin,t3))) = not(xor(t6,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t6,or(cin,t3))),not(xor(t6,or(cin,t3)))) ),[1,0],$fot(xor(t6,or(a,t6)))]]) ).
cnf(refute_0_17981,plain,
( xor(t6,or(cin,t3)) != xor(t6,or(a,t6))
| not(xor(t6,or(cin,t3))) = not(xor(t6,or(a,t6))) ),
inference(resolve,[$cnf( $equal(not(xor(t6,or(cin,t3))),not(xor(t6,or(cin,t3)))) )],[refute_0_17979,refute_0_17980]) ).
cnf(refute_0_17982,plain,
not(xor(t6,or(cin,t3))) = not(xor(t6,or(a,t6))),
inference(resolve,[$cnf( $equal(xor(t6,or(cin,t3)),xor(t6,or(a,t6))) )],[refute_0_17978,refute_0_17981]) ).
cnf(refute_0_17983,plain,
and(t4,not(xor(t6,or(cin,t3)))) = and(t4,not(xor(t6,or(cin,t3)))),
introduced(tautology,[refl,[$fot(and(t4,not(xor(t6,or(cin,t3)))))]]) ).
cnf(refute_0_17984,plain,
( and(t4,not(xor(t6,or(cin,t3)))) != and(t4,not(xor(t6,or(cin,t3))))
| not(xor(t6,or(cin,t3))) != not(xor(t6,or(a,t6)))
| and(t4,not(xor(t6,or(cin,t3)))) = and(t4,not(xor(t6,or(a,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,not(xor(t6,or(cin,t3)))),and(t4,not(xor(t6,or(cin,t3))))) ),[1,1],$fot(not(xor(t6,or(a,t6))))]]) ).
cnf(refute_0_17985,plain,
( not(xor(t6,or(cin,t3))) != not(xor(t6,or(a,t6)))
| and(t4,not(xor(t6,or(cin,t3)))) = and(t4,not(xor(t6,or(a,t6)))) ),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t6,or(cin,t3)))),and(t4,not(xor(t6,or(cin,t3))))) )],[refute_0_17983,refute_0_17984]) ).
cnf(refute_0_17986,plain,
and(t4,not(xor(t6,or(cin,t3)))) = and(t4,not(xor(t6,or(a,t6)))),
inference(resolve,[$cnf( $equal(not(xor(t6,or(cin,t3))),not(xor(t6,or(a,t6)))) )],[refute_0_17982,refute_0_17985]) ).
cnf(refute_0_17987,plain,
( and(t4,not(xor(t6,or(cin,t3)))) != and(t4,not(xor(t6,or(a,t6))))
| and(t4,not(xor(t6,or(cin,t3)))) != xor(t5,or(cin,t3))
| and(t4,not(xor(t6,or(a,t6)))) = xor(t5,or(cin,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,not(xor(t6,or(cin,t3)))),xor(t5,or(cin,t3))) ),[0],$fot(and(t4,not(xor(t6,or(a,t6)))))]]) ).
cnf(refute_0_17988,plain,
( and(t4,not(xor(t6,or(cin,t3)))) != xor(t5,or(cin,t3))
| and(t4,not(xor(t6,or(a,t6)))) = xor(t5,or(cin,t3)) ),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t6,or(cin,t3)))),and(t4,not(xor(t6,or(a,t6))))) )],[refute_0_17986,refute_0_17987]) ).
cnf(refute_0_17989,plain,
xor(t5,or(cin,t3)) = xor(t5,or(cin,t3)),
introduced(tautology,[refl,[$fot(xor(t5,or(cin,t3)))]]) ).
cnf(refute_0_17990,plain,
( or(cin,t3) != or(a,t6)
| xor(t5,or(cin,t3)) != xor(t5,or(cin,t3))
| xor(t5,or(cin,t3)) = xor(t5,or(a,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t5,or(cin,t3)),xor(t5,or(cin,t3))) ),[1,1],$fot(or(a,t6))]]) ).
cnf(refute_0_17991,plain,
( or(cin,t3) != or(a,t6)
| xor(t5,or(cin,t3)) = xor(t5,or(a,t6)) ),
inference(resolve,[$cnf( $equal(xor(t5,or(cin,t3)),xor(t5,or(cin,t3))) )],[refute_0_17989,refute_0_17990]) ).
cnf(refute_0_17992,plain,
xor(t5,or(cin,t3)) = xor(t5,or(a,t6)),
inference(resolve,[$cnf( $equal(or(cin,t3),or(a,t6)) )],[refute_0_17974,refute_0_17991]) ).
cnf(refute_0_17993,plain,
( and(t4,not(xor(t6,or(a,t6)))) != xor(t5,or(cin,t3))
| xor(t5,or(cin,t3)) != xor(t5,or(a,t6))
| and(t4,not(xor(t6,or(a,t6)))) = xor(t5,or(a,t6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t4,not(xor(t6,or(a,t6)))),xor(t5,or(a,t6))) ),[0],$fot(xor(t5,or(cin,t3)))]]) ).
cnf(refute_0_17994,plain,
( and(t4,not(xor(t6,or(a,t6)))) != xor(t5,or(cin,t3))
| and(t4,not(xor(t6,or(a,t6)))) = xor(t5,or(a,t6)) ),
inference(resolve,[$cnf( $equal(xor(t5,or(cin,t3)),xor(t5,or(a,t6))) )],[refute_0_17992,refute_0_17993]) ).
cnf(refute_0_17995,plain,
( and(t4,not(xor(t6,or(cin,t3)))) != xor(t5,or(cin,t3))
| and(t4,not(xor(t6,or(a,t6)))) = xor(t5,or(a,t6)) ),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t6,or(a,t6)))),xor(t5,or(cin,t3))) )],[refute_0_17988,refute_0_17994]) ).
cnf(refute_0_17996,plain,
and(t4,not(xor(t6,or(a,t6)))) = xor(t5,or(a,t6)),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t6,or(cin,t3)))),xor(t5,or(cin,t3))) )],[refute_0_17947,refute_0_17995]) ).
cnf(refute_0_17997,plain,
( and(not(t5),not(xor(t6,or(a,t6)))) != and(cin,and(t4,not(xor(t6,or(a,t6)))))
| and(t4,not(xor(t6,or(a,t6)))) != xor(t5,or(a,t6))
| and(not(t5),not(xor(t6,or(a,t6)))) = and(cin,xor(t5,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),not(xor(t6,or(a,t6)))),and(cin,and(t4,not(xor(t6,or(a,t6)))))) ),[1,1],$fot(xor(t5,or(a,t6)))]]) ).
cnf(refute_0_17998,plain,
( and(not(t5),not(xor(t6,or(a,t6)))) != and(cin,and(t4,not(xor(t6,or(a,t6)))))
| and(not(t5),not(xor(t6,or(a,t6)))) = and(cin,xor(t5,or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t6,or(a,t6)))),xor(t5,or(a,t6))) )],[refute_0_17996,refute_0_17997]) ).
cnf(refute_0_17999,plain,
and(not(t5),not(xor(t6,or(a,t6)))) = and(cin,xor(t5,or(a,t6))),
inference(resolve,[$cnf( $equal(and(not(t5),not(xor(t6,or(a,t6)))),and(cin,and(t4,not(xor(t6,or(a,t6)))))) )],[refute_0_17818,refute_0_17998]) ).
cnf(refute_0_18000,plain,
or(or(t5,not(t6)),X_39) = or(t5,or(not(t6),X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(t5)),bind(Y,$fot(not(t6))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_18001,plain,
( or(or(t5,not(t6)),X_39) != or(t5,or(not(t6),X_39))
| or(t5,not(t6)) != t5
| or(t5,X_39) = or(t5,or(not(t6),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t5,not(t6)),X_39),or(t5,or(not(t6),X_39))) ),[0,0],$fot(t5)]]) ).
cnf(refute_0_18002,plain,
( or(or(t5,not(t6)),X_39) != or(t5,or(not(t6),X_39))
| or(t5,X_39) = or(t5,or(not(t6),X_39)) ),
inference(resolve,[$cnf( $equal(or(t5,not(t6)),t5) )],[refute_0_1996,refute_0_18001]) ).
cnf(refute_0_18003,plain,
or(t5,X_39) = or(t5,or(not(t6),X_39)),
inference(resolve,[$cnf( $equal(or(or(t5,not(t6)),X_39),or(t5,or(not(t6),X_39))) )],[refute_0_18000,refute_0_18002]) ).
cnf(refute_0_18004,plain,
or(t5,and(not(t6),Y)) = or(t5,or(not(t6),and(not(t6),Y))),
inference(subst,[],[refute_0_18003:[bind(X_39,$fot(and(not(t6),Y)))]]) ).
cnf(refute_0_18005,plain,
or(not(t6),and(not(t6),Y)) = not(t6),
inference(subst,[],[or_absorption:[bind(X,$fot(not(t6)))]]) ).
cnf(refute_0_18006,plain,
( or(not(t6),and(not(t6),Y)) != not(t6)
| or(t5,and(not(t6),Y)) != or(t5,or(not(t6),and(not(t6),Y)))
| or(t5,and(not(t6),Y)) = or(t5,not(t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,and(not(t6),Y)),or(t5,or(not(t6),and(not(t6),Y)))) ),[1,1],$fot(not(t6))]]) ).
cnf(refute_0_18007,plain,
( or(t5,and(not(t6),Y)) != or(t5,or(not(t6),and(not(t6),Y)))
| or(t5,and(not(t6),Y)) = or(t5,not(t6)) ),
inference(resolve,[$cnf( $equal(or(not(t6),and(not(t6),Y)),not(t6)) )],[refute_0_18005,refute_0_18006]) ).
cnf(refute_0_18008,plain,
or(t5,and(not(t6),Y)) = or(t5,not(t6)),
inference(resolve,[$cnf( $equal(or(t5,and(not(t6),Y)),or(t5,or(not(t6),and(not(t6),Y)))) )],[refute_0_18004,refute_0_18007]) ).
cnf(refute_0_18009,plain,
( or(t5,and(not(t6),Y)) != or(t5,not(t6))
| or(t5,not(t6)) != t5
| or(t5,and(not(t6),Y)) = t5 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(t5,and(not(t6),Y)),t5) ),[0],$fot(or(t5,not(t6)))]]) ).
cnf(refute_0_18010,plain,
( or(t5,and(not(t6),Y)) != or(t5,not(t6))
| or(t5,and(not(t6),Y)) = t5 ),
inference(resolve,[$cnf( $equal(or(t5,not(t6)),t5) )],[refute_0_1996,refute_0_18009]) ).
cnf(refute_0_18011,plain,
or(t5,and(not(t6),Y)) = t5,
inference(resolve,[$cnf( $equal(or(t5,and(not(t6),Y)),or(t5,not(t6))) )],[refute_0_18008,refute_0_18010]) ).
cnf(refute_0_18012,plain,
or(t5,and(not(t6),or(cin,t3))) = t5,
inference(subst,[],[refute_0_18011:[bind(Y,$fot(or(cin,t3)))]]) ).
cnf(refute_0_18013,plain,
( and(not(t6),or(cin,t3)) != xor(t6,or(cin,t3))
| or(t5,and(not(t6),or(cin,t3))) != t5
| or(t5,xor(t6,or(cin,t3))) = t5 ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,and(not(t6),or(cin,t3))),t5) ),[0,1],$fot(xor(t6,or(cin,t3)))]]) ).
cnf(refute_0_18014,plain,
( or(t5,and(not(t6),or(cin,t3))) != t5
| or(t5,xor(t6,or(cin,t3))) = t5 ),
inference(resolve,[$cnf( $equal(and(not(t6),or(cin,t3)),xor(t6,or(cin,t3))) )],[refute_0_17925,refute_0_18013]) ).
cnf(refute_0_18015,plain,
or(t5,xor(t6,or(cin,t3))) = t5,
inference(resolve,[$cnf( $equal(or(t5,and(not(t6),or(cin,t3))),t5) )],[refute_0_18012,refute_0_18014]) ).
cnf(refute_0_18016,plain,
or(t5,xor(t6,or(cin,t3))) = or(t5,xor(t6,or(cin,t3))),
introduced(tautology,[refl,[$fot(or(t5,xor(t6,or(cin,t3))))]]) ).
cnf(refute_0_18017,plain,
( or(t5,xor(t6,or(cin,t3))) != or(t5,xor(t6,or(cin,t3)))
| xor(t6,or(cin,t3)) != xor(t6,or(a,t6))
| or(t5,xor(t6,or(cin,t3))) = or(t5,xor(t6,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,xor(t6,or(cin,t3))),or(t5,xor(t6,or(cin,t3)))) ),[1,1],$fot(xor(t6,or(a,t6)))]]) ).
cnf(refute_0_18018,plain,
( xor(t6,or(cin,t3)) != xor(t6,or(a,t6))
| or(t5,xor(t6,or(cin,t3))) = or(t5,xor(t6,or(a,t6))) ),
inference(resolve,[$cnf( $equal(or(t5,xor(t6,or(cin,t3))),or(t5,xor(t6,or(cin,t3)))) )],[refute_0_18016,refute_0_18017]) ).
cnf(refute_0_18019,plain,
or(t5,xor(t6,or(cin,t3))) = or(t5,xor(t6,or(a,t6))),
inference(resolve,[$cnf( $equal(xor(t6,or(cin,t3)),xor(t6,or(a,t6))) )],[refute_0_17978,refute_0_18018]) ).
cnf(refute_0_18020,plain,
( or(t5,xor(t6,or(cin,t3))) != or(t5,xor(t6,or(a,t6)))
| or(t5,xor(t6,or(cin,t3))) != t5
| or(t5,xor(t6,or(a,t6))) = t5 ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,xor(t6,or(cin,t3))),t5) ),[0],$fot(or(t5,xor(t6,or(a,t6))))]]) ).
cnf(refute_0_18021,plain,
( or(t5,xor(t6,or(cin,t3))) != t5
| or(t5,xor(t6,or(a,t6))) = t5 ),
inference(resolve,[$cnf( $equal(or(t5,xor(t6,or(cin,t3))),or(t5,xor(t6,or(a,t6)))) )],[refute_0_18019,refute_0_18020]) ).
cnf(refute_0_18022,plain,
or(t5,xor(t6,or(a,t6))) = t5,
inference(resolve,[$cnf( $equal(or(t5,xor(t6,or(cin,t3))),t5) )],[refute_0_18015,refute_0_18021]) ).
cnf(refute_0_18023,plain,
not(or(t5,xor(t6,or(a,t6)))) = not(or(t5,xor(t6,or(a,t6)))),
introduced(tautology,[refl,[$fot(not(or(t5,xor(t6,or(a,t6)))))]]) ).
cnf(refute_0_18024,plain,
( not(or(t5,xor(t6,or(a,t6)))) != not(or(t5,xor(t6,or(a,t6))))
| or(t5,xor(t6,or(a,t6))) != t5
| not(or(t5,xor(t6,or(a,t6)))) = not(t5) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t5,xor(t6,or(a,t6)))),not(or(t5,xor(t6,or(a,t6))))) ),[1,0],$fot(t5)]]) ).
cnf(refute_0_18025,plain,
( or(t5,xor(t6,or(a,t6))) != t5
| not(or(t5,xor(t6,or(a,t6)))) = not(t5) ),
inference(resolve,[$cnf( $equal(not(or(t5,xor(t6,or(a,t6)))),not(or(t5,xor(t6,or(a,t6))))) )],[refute_0_18023,refute_0_18024]) ).
cnf(refute_0_18026,plain,
not(or(t5,xor(t6,or(a,t6)))) = not(t5),
inference(resolve,[$cnf( $equal(or(t5,xor(t6,or(a,t6))),t5) )],[refute_0_18022,refute_0_18025]) ).
cnf(refute_0_18027,plain,
and(not(t5),not(xor(t6,or(a,t6)))) = not(or(t5,xor(t6,or(a,t6)))),
inference(subst,[],[refute_0_101:[bind(X,$fot(t5)),bind(Y,$fot(xor(t6,or(a,t6))))]]) ).
cnf(refute_0_18028,plain,
( and(not(t5),not(xor(t6,or(a,t6)))) != not(or(t5,xor(t6,or(a,t6))))
| not(or(t5,xor(t6,or(a,t6)))) != not(t5)
| and(not(t5),not(xor(t6,or(a,t6)))) = not(t5) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t5),not(xor(t6,or(a,t6)))))),bind(Y0,$fot(not(or(t5,xor(t6,or(a,t6)))))),bind(Z0,$fot(not(t5)))]]) ).
cnf(refute_0_18029,plain,
( not(or(t5,xor(t6,or(a,t6)))) != not(t5)
| and(not(t5),not(xor(t6,or(a,t6)))) = not(t5) ),
inference(resolve,[$cnf( $equal(and(not(t5),not(xor(t6,or(a,t6)))),not(or(t5,xor(t6,or(a,t6))))) )],[refute_0_18027,refute_0_18028]) ).
cnf(refute_0_18030,plain,
and(not(t5),not(xor(t6,or(a,t6)))) = not(t5),
inference(resolve,[$cnf( $equal(not(or(t5,xor(t6,or(a,t6)))),not(t5)) )],[refute_0_18026,refute_0_18029]) ).
cnf(refute_0_18031,plain,
( and(not(t5),not(xor(t6,or(a,t6)))) != and(cin,xor(t5,or(a,t6)))
| and(not(t5),not(xor(t6,or(a,t6)))) != not(t5)
| not(t5) = and(cin,xor(t5,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),not(xor(t6,or(a,t6)))),and(cin,xor(t5,or(a,t6)))) ),[0],$fot(not(t5))]]) ).
cnf(refute_0_18032,plain,
( and(not(t5),not(xor(t6,or(a,t6)))) != and(cin,xor(t5,or(a,t6)))
| not(t5) = and(cin,xor(t5,or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(not(t5),not(xor(t6,or(a,t6)))),not(t5)) )],[refute_0_18030,refute_0_18031]) ).
cnf(refute_0_18033,plain,
not(t5) = and(cin,xor(t5,or(a,t6))),
inference(resolve,[$cnf( $equal(and(not(t5),not(xor(t6,or(a,t6)))),and(cin,xor(t5,or(a,t6)))) )],[refute_0_17999,refute_0_18032]) ).
cnf(refute_0_18034,plain,
or(and(a,not(xor(a,xor(t6,or(a,t6))))),and(not(a),xor(a,xor(t6,or(a,t6))))) = xor(a,xor(a,xor(t6,or(a,t6)))),
inference(subst,[],[refute_0_9:[bind(X,$fot(a)),bind(Y,$fot(xor(a,xor(t6,or(a,t6)))))]]) ).
cnf(refute_0_18035,plain,
and(or(a,not(xor(a,xor(t6,or(a,t6))))),not(or(not(xor(a,xor(t6,or(a,t6)))),a))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(not(xor(a,xor(t6,or(a,t6)))))),bind(X_28,$fot(a))]]) ).
cnf(refute_0_18036,plain,
ll1 = or(a,not(and(a,not(xor(t6,or(a,t6)))))),
inference(subst,[],[refute_0_7235:[bind(Y,$fot(not(xor(t6,or(a,t6))))),bind(X_53,$fot(a))]]) ).
cnf(refute_0_18037,plain,
or(and(a,not(xor(t6,or(a,t6)))),and(not(a),xor(t6,or(a,t6)))) = xor(a,xor(t6,or(a,t6))),
inference(subst,[],[refute_0_9:[bind(X,$fot(a)),bind(Y,$fot(xor(t6,or(a,t6))))]]) ).
cnf(refute_0_18038,plain,
and(or(a,not(xor(t6,or(a,t6)))),not(or(not(xor(t6,or(a,t6))),a))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(not(xor(t6,or(a,t6))))),bind(X_28,$fot(a))]]) ).
cnf(refute_0_18039,plain,
or(a,or(t6,not(or(a,t6)))) = ll1,
inference(subst,[],[refute_0_137:[bind(X_37,$fot(a)),bind(X_38,$fot(t6))]]) ).
cnf(refute_0_18040,plain,
not(and(or(cin,t3),not(t6))) = not(and(not(t6),or(cin,t3))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(not(t6))),bind(X_32,$fot(or(cin,t3)))]]) ).
cnf(refute_0_18041,plain,
( and(not(t6),or(cin,t3)) != xor(t6,or(cin,t3))
| not(and(or(cin,t3),not(t6))) != not(and(not(t6),or(cin,t3)))
| not(and(or(cin,t3),not(t6))) = not(xor(t6,or(cin,t3))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(cin,t3),not(t6))),not(and(not(t6),or(cin,t3)))) ),[1,0],$fot(xor(t6,or(cin,t3)))]]) ).
cnf(refute_0_18042,plain,
( not(and(or(cin,t3),not(t6))) != not(and(not(t6),or(cin,t3)))
| not(and(or(cin,t3),not(t6))) = not(xor(t6,or(cin,t3))) ),
inference(resolve,[$cnf( $equal(and(not(t6),or(cin,t3)),xor(t6,or(cin,t3))) )],[refute_0_17925,refute_0_18041]) ).
cnf(refute_0_18043,plain,
not(and(or(cin,t3),not(t6))) = not(xor(t6,or(cin,t3))),
inference(resolve,[$cnf( $equal(not(and(or(cin,t3),not(t6))),not(and(not(t6),or(cin,t3)))) )],[refute_0_18040,refute_0_18042]) ).
cnf(refute_0_18044,plain,
not(and(not(t6),or(cin,t3))) = or(t6,not(or(cin,t3))),
inference(subst,[],[refute_0_787:[bind(X,$fot(t6)),bind(X_32,$fot(or(cin,t3)))]]) ).
cnf(refute_0_18045,plain,
( not(and(not(t6),or(cin,t3))) != or(t6,not(or(cin,t3)))
| not(and(or(cin,t3),not(t6))) != not(and(not(t6),or(cin,t3)))
| not(and(or(cin,t3),not(t6))) = or(t6,not(or(cin,t3))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(or(cin,t3),not(t6))))),bind(Y0,$fot(not(and(not(t6),or(cin,t3))))),bind(Z0,$fot(or(t6,not(or(cin,t3)))))]]) ).
cnf(refute_0_18046,plain,
( not(and(not(t6),or(cin,t3))) != or(t6,not(or(cin,t3)))
| not(and(or(cin,t3),not(t6))) = or(t6,not(or(cin,t3))) ),
inference(resolve,[$cnf( $equal(not(and(or(cin,t3),not(t6))),not(and(not(t6),or(cin,t3)))) )],[refute_0_18040,refute_0_18045]) ).
cnf(refute_0_18047,plain,
not(and(or(cin,t3),not(t6))) = or(t6,not(or(cin,t3))),
inference(resolve,[$cnf( $equal(not(and(not(t6),or(cin,t3))),or(t6,not(or(cin,t3)))) )],[refute_0_18044,refute_0_18046]) ).
cnf(refute_0_18048,plain,
( not(and(or(cin,t3),not(t6))) != not(xor(t6,or(cin,t3)))
| not(and(or(cin,t3),not(t6))) != or(t6,not(or(cin,t3)))
| or(t6,not(or(cin,t3))) = not(xor(t6,or(cin,t3))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(cin,t3),not(t6))),not(xor(t6,or(cin,t3)))) ),[0],$fot(or(t6,not(or(cin,t3))))]]) ).
cnf(refute_0_18049,plain,
( not(and(or(cin,t3),not(t6))) != not(xor(t6,or(cin,t3)))
| or(t6,not(or(cin,t3))) = not(xor(t6,or(cin,t3))) ),
inference(resolve,[$cnf( $equal(not(and(or(cin,t3),not(t6))),or(t6,not(or(cin,t3)))) )],[refute_0_18047,refute_0_18048]) ).
cnf(refute_0_18050,plain,
or(t6,not(or(cin,t3))) = not(xor(t6,or(cin,t3))),
inference(resolve,[$cnf( $equal(not(and(or(cin,t3),not(t6))),not(xor(t6,or(cin,t3)))) )],[refute_0_18043,refute_0_18049]) ).
cnf(refute_0_18051,plain,
not(or(cin,t3)) = not(or(cin,t3)),
introduced(tautology,[refl,[$fot(not(or(cin,t3)))]]) ).
cnf(refute_0_18052,plain,
( not(or(cin,t3)) != not(or(cin,t3))
| or(cin,t3) != or(a,t6)
| not(or(cin,t3)) = not(or(a,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(cin,t3)),not(or(cin,t3))) ),[1,0],$fot(or(a,t6))]]) ).
cnf(refute_0_18053,plain,
( or(cin,t3) != or(a,t6)
| not(or(cin,t3)) = not(or(a,t6)) ),
inference(resolve,[$cnf( $equal(not(or(cin,t3)),not(or(cin,t3))) )],[refute_0_18051,refute_0_18052]) ).
cnf(refute_0_18054,plain,
not(or(cin,t3)) = not(or(a,t6)),
inference(resolve,[$cnf( $equal(or(cin,t3),or(a,t6)) )],[refute_0_17974,refute_0_18053]) ).
cnf(refute_0_18055,plain,
or(t6,not(or(cin,t3))) = or(t6,not(or(cin,t3))),
introduced(tautology,[refl,[$fot(or(t6,not(or(cin,t3))))]]) ).
cnf(refute_0_18056,plain,
( not(or(cin,t3)) != not(or(a,t6))
| or(t6,not(or(cin,t3))) != or(t6,not(or(cin,t3)))
| or(t6,not(or(cin,t3))) = or(t6,not(or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,not(or(cin,t3))),or(t6,not(or(cin,t3)))) ),[1,1],$fot(not(or(a,t6)))]]) ).
cnf(refute_0_18057,plain,
( not(or(cin,t3)) != not(or(a,t6))
| or(t6,not(or(cin,t3))) = or(t6,not(or(a,t6))) ),
inference(resolve,[$cnf( $equal(or(t6,not(or(cin,t3))),or(t6,not(or(cin,t3)))) )],[refute_0_18055,refute_0_18056]) ).
cnf(refute_0_18058,plain,
or(t6,not(or(cin,t3))) = or(t6,not(or(a,t6))),
inference(resolve,[$cnf( $equal(not(or(cin,t3)),not(or(a,t6))) )],[refute_0_18054,refute_0_18057]) ).
cnf(refute_0_18059,plain,
( or(t6,not(or(cin,t3))) != not(xor(t6,or(cin,t3)))
| or(t6,not(or(cin,t3))) != or(t6,not(or(a,t6)))
| or(t6,not(or(a,t6))) = not(xor(t6,or(cin,t3))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,not(or(cin,t3))),not(xor(t6,or(cin,t3)))) ),[0],$fot(or(t6,not(or(a,t6))))]]) ).
cnf(refute_0_18060,plain,
( or(t6,not(or(cin,t3))) != not(xor(t6,or(cin,t3)))
| or(t6,not(or(a,t6))) = not(xor(t6,or(cin,t3))) ),
inference(resolve,[$cnf( $equal(or(t6,not(or(cin,t3))),or(t6,not(or(a,t6)))) )],[refute_0_18058,refute_0_18059]) ).
cnf(refute_0_18061,plain,
( not(xor(t6,or(cin,t3))) != not(xor(t6,or(a,t6)))
| or(t6,not(or(a,t6))) != not(xor(t6,or(cin,t3)))
| or(t6,not(or(a,t6))) = not(xor(t6,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,not(or(a,t6))),not(xor(t6,or(cin,t3)))) ),[1],$fot(not(xor(t6,or(a,t6))))]]) ).
cnf(refute_0_18062,plain,
( or(t6,not(or(a,t6))) != not(xor(t6,or(cin,t3)))
| or(t6,not(or(a,t6))) = not(xor(t6,or(a,t6))) ),
inference(resolve,[$cnf( $equal(not(xor(t6,or(cin,t3))),not(xor(t6,or(a,t6)))) )],[refute_0_17982,refute_0_18061]) ).
cnf(refute_0_18063,plain,
( or(t6,not(or(cin,t3))) != not(xor(t6,or(cin,t3)))
| or(t6,not(or(a,t6))) = not(xor(t6,or(a,t6))) ),
inference(resolve,[$cnf( $equal(or(t6,not(or(a,t6))),not(xor(t6,or(cin,t3)))) )],[refute_0_18060,refute_0_18062]) ).
cnf(refute_0_18064,plain,
or(t6,not(or(a,t6))) = not(xor(t6,or(a,t6))),
inference(resolve,[$cnf( $equal(or(t6,not(or(cin,t3))),not(xor(t6,or(cin,t3)))) )],[refute_0_18050,refute_0_18063]) ).
cnf(refute_0_18065,plain,
( or(a,or(t6,not(or(a,t6)))) != ll1
| or(t6,not(or(a,t6))) != not(xor(t6,or(a,t6)))
| or(a,not(xor(t6,or(a,t6)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(a,or(t6,not(or(a,t6)))),ll1) ),[0,1],$fot(not(xor(t6,or(a,t6))))]]) ).
cnf(refute_0_18066,plain,
( or(a,or(t6,not(or(a,t6)))) != ll1
| or(a,not(xor(t6,or(a,t6)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t6,not(or(a,t6))),not(xor(t6,or(a,t6)))) )],[refute_0_18064,refute_0_18065]) ).
cnf(refute_0_18067,plain,
or(a,not(xor(t6,or(a,t6)))) = ll1,
inference(resolve,[$cnf( $equal(or(a,or(t6,not(or(a,t6)))),ll1) )],[refute_0_18039,refute_0_18066]) ).
cnf(refute_0_18068,plain,
( and(or(a,not(xor(t6,or(a,t6)))),not(or(not(xor(t6,or(a,t6))),a))) != ll0
| or(a,not(xor(t6,or(a,t6)))) != ll1
| and(ll1,not(or(not(xor(t6,or(a,t6))),a))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(a,not(xor(t6,or(a,t6)))),not(or(not(xor(t6,or(a,t6))),a))),ll0) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_18069,plain,
( and(or(a,not(xor(t6,or(a,t6)))),not(or(not(xor(t6,or(a,t6))),a))) != ll0
| and(ll1,not(or(not(xor(t6,or(a,t6))),a))) = ll0 ),
inference(resolve,[$cnf( $equal(or(a,not(xor(t6,or(a,t6)))),ll1) )],[refute_0_18067,refute_0_18068]) ).
cnf(refute_0_18070,plain,
and(ll1,not(or(not(xor(t6,or(a,t6))),a))) = ll0,
inference(resolve,[$cnf( $equal(and(or(a,not(xor(t6,or(a,t6)))),not(or(not(xor(t6,or(a,t6))),a))),ll0) )],[refute_0_18038,refute_0_18069]) ).
cnf(refute_0_18071,plain,
not(or(a,not(xor(t6,or(a,t6))))) = and(not(a),xor(t6,or(a,t6))),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(t6,or(a,t6)))),bind(X_25,$fot(a))]]) ).
cnf(refute_0_18072,plain,
and(ll1,not(or(a,not(xor(t6,or(a,t6)))))) = not(or(a,not(xor(t6,or(a,t6))))),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(or(a,not(xor(t6,or(a,t6)))))))]]) ).
cnf(refute_0_18073,plain,
( and(ll1,not(or(a,not(xor(t6,or(a,t6)))))) != not(or(a,not(xor(t6,or(a,t6)))))
| not(or(a,not(xor(t6,or(a,t6))))) != and(not(a),xor(t6,or(a,t6)))
| and(ll1,not(or(a,not(xor(t6,or(a,t6)))))) = and(not(a),xor(t6,or(a,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(a,not(xor(t6,or(a,t6)))))))),bind(Y0,$fot(not(or(a,not(xor(t6,or(a,t6))))))),bind(Z0,$fot(and(not(a),xor(t6,or(a,t6)))))]]) ).
cnf(refute_0_18074,plain,
( not(or(a,not(xor(t6,or(a,t6))))) != and(not(a),xor(t6,or(a,t6)))
| and(ll1,not(or(a,not(xor(t6,or(a,t6)))))) = and(not(a),xor(t6,or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(a,not(xor(t6,or(a,t6)))))),not(or(a,not(xor(t6,or(a,t6)))))) )],[refute_0_18072,refute_0_18073]) ).
cnf(refute_0_18075,plain,
and(ll1,not(or(a,not(xor(t6,or(a,t6)))))) = and(not(a),xor(t6,or(a,t6))),
inference(resolve,[$cnf( $equal(not(or(a,not(xor(t6,or(a,t6))))),and(not(a),xor(t6,or(a,t6)))) )],[refute_0_18071,refute_0_18074]) ).
cnf(refute_0_18076,plain,
and(ll1,not(or(not(xor(t6,or(a,t6))),a))) = and(ll1,not(or(a,not(xor(t6,or(a,t6)))))),
inference(subst,[],[refute_0_815:[bind(X_25,$fot(a)),bind(X_26,$fot(not(xor(t6,or(a,t6))))),bind(X_29,$fot(ll1))]]) ).
cnf(refute_0_18077,plain,
( and(ll1,not(or(a,not(xor(t6,or(a,t6)))))) != and(not(a),xor(t6,or(a,t6)))
| and(ll1,not(or(not(xor(t6,or(a,t6))),a))) != and(ll1,not(or(a,not(xor(t6,or(a,t6))))))
| and(ll1,not(or(not(xor(t6,or(a,t6))),a))) = and(not(a),xor(t6,or(a,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(xor(t6,or(a,t6))),a))))),bind(Y0,$fot(and(ll1,not(or(a,not(xor(t6,or(a,t6)))))))),bind(Z0,$fot(and(not(a),xor(t6,or(a,t6)))))]]) ).
cnf(refute_0_18078,plain,
( and(ll1,not(or(a,not(xor(t6,or(a,t6)))))) != and(not(a),xor(t6,or(a,t6)))
| and(ll1,not(or(not(xor(t6,or(a,t6))),a))) = and(not(a),xor(t6,or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t6,or(a,t6))),a))),and(ll1,not(or(a,not(xor(t6,or(a,t6))))))) )],[refute_0_18076,refute_0_18077]) ).
cnf(refute_0_18079,plain,
and(ll1,not(or(not(xor(t6,or(a,t6))),a))) = and(not(a),xor(t6,or(a,t6))),
inference(resolve,[$cnf( $equal(and(ll1,not(or(a,not(xor(t6,or(a,t6)))))),and(not(a),xor(t6,or(a,t6)))) )],[refute_0_18075,refute_0_18078]) ).
cnf(refute_0_18080,plain,
( and(ll1,not(or(not(xor(t6,or(a,t6))),a))) != and(not(a),xor(t6,or(a,t6)))
| and(ll1,not(or(not(xor(t6,or(a,t6))),a))) != ll0
| and(not(a),xor(t6,or(a,t6))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(ll1,not(or(not(xor(t6,or(a,t6))),a))),ll0) ),[0],$fot(and(not(a),xor(t6,or(a,t6))))]]) ).
cnf(refute_0_18081,plain,
( and(ll1,not(or(not(xor(t6,or(a,t6))),a))) != ll0
| and(not(a),xor(t6,or(a,t6))) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t6,or(a,t6))),a))),and(not(a),xor(t6,or(a,t6)))) )],[refute_0_18079,refute_0_18080]) ).
cnf(refute_0_18082,plain,
and(not(a),xor(t6,or(a,t6))) = ll0,
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t6,or(a,t6))),a))),ll0) )],[refute_0_18070,refute_0_18081]) ).
cnf(refute_0_18083,plain,
( and(not(a),xor(t6,or(a,t6))) != ll0
| or(and(a,not(xor(t6,or(a,t6)))),and(not(a),xor(t6,or(a,t6)))) != xor(a,xor(t6,or(a,t6)))
| or(and(a,not(xor(t6,or(a,t6)))),ll0) = xor(a,xor(t6,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(a,not(xor(t6,or(a,t6)))),and(not(a),xor(t6,or(a,t6)))),xor(a,xor(t6,or(a,t6)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_18084,plain,
( or(and(a,not(xor(t6,or(a,t6)))),and(not(a),xor(t6,or(a,t6)))) != xor(a,xor(t6,or(a,t6)))
| or(and(a,not(xor(t6,or(a,t6)))),ll0) = xor(a,xor(t6,or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(not(a),xor(t6,or(a,t6))),ll0) )],[refute_0_18082,refute_0_18083]) ).
cnf(refute_0_18085,plain,
or(and(a,not(xor(t6,or(a,t6)))),ll0) = xor(a,xor(t6,or(a,t6))),
inference(resolve,[$cnf( $equal(or(and(a,not(xor(t6,or(a,t6)))),and(not(a),xor(t6,or(a,t6)))),xor(a,xor(t6,or(a,t6)))) )],[refute_0_18037,refute_0_18084]) ).
cnf(refute_0_18086,plain,
or(and(a,not(xor(t6,or(a,t6)))),ll0) = and(a,not(xor(t6,or(a,t6)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(a,not(xor(t6,or(a,t6))))))]]) ).
cnf(refute_0_18087,plain,
( or(and(a,not(xor(t6,or(a,t6)))),ll0) != and(a,not(xor(t6,or(a,t6))))
| or(and(a,not(xor(t6,or(a,t6)))),ll0) != xor(a,xor(t6,or(a,t6)))
| and(a,not(xor(t6,or(a,t6)))) = xor(a,xor(t6,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(a,not(xor(t6,or(a,t6)))),ll0),xor(a,xor(t6,or(a,t6)))) ),[0],$fot(and(a,not(xor(t6,or(a,t6)))))]]) ).
cnf(refute_0_18088,plain,
( or(and(a,not(xor(t6,or(a,t6)))),ll0) != xor(a,xor(t6,or(a,t6)))
| and(a,not(xor(t6,or(a,t6)))) = xor(a,xor(t6,or(a,t6))) ),
inference(resolve,[$cnf( $equal(or(and(a,not(xor(t6,or(a,t6)))),ll0),and(a,not(xor(t6,or(a,t6))))) )],[refute_0_18086,refute_0_18087]) ).
cnf(refute_0_18089,plain,
and(a,not(xor(t6,or(a,t6)))) = xor(a,xor(t6,or(a,t6))),
inference(resolve,[$cnf( $equal(or(and(a,not(xor(t6,or(a,t6)))),ll0),xor(a,xor(t6,or(a,t6)))) )],[refute_0_18085,refute_0_18088]) ).
cnf(refute_0_18090,plain,
( and(a,not(xor(t6,or(a,t6)))) != xor(a,xor(t6,or(a,t6)))
| ll1 != or(a,not(and(a,not(xor(t6,or(a,t6))))))
| ll1 = or(a,not(xor(a,xor(t6,or(a,t6))))) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(a,not(and(a,not(xor(t6,or(a,t6))))))) ),[1,1,0],$fot(xor(a,xor(t6,or(a,t6))))]]) ).
cnf(refute_0_18091,plain,
( ll1 != or(a,not(and(a,not(xor(t6,or(a,t6))))))
| ll1 = or(a,not(xor(a,xor(t6,or(a,t6))))) ),
inference(resolve,[$cnf( $equal(and(a,not(xor(t6,or(a,t6)))),xor(a,xor(t6,or(a,t6)))) )],[refute_0_18089,refute_0_18090]) ).
cnf(refute_0_18092,plain,
ll1 = or(a,not(xor(a,xor(t6,or(a,t6))))),
inference(resolve,[$cnf( $equal(ll1,or(a,not(and(a,not(xor(t6,or(a,t6))))))) )],[refute_0_18036,refute_0_18091]) ).
cnf(refute_0_18093,plain,
( ll1 != or(a,not(xor(a,xor(t6,or(a,t6)))))
| or(a,not(xor(a,xor(t6,or(a,t6))))) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(a,not(xor(a,xor(t6,or(a,t6)))))))]]) ).
cnf(refute_0_18094,plain,
or(a,not(xor(a,xor(t6,or(a,t6))))) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(a,not(xor(a,xor(t6,or(a,t6)))))) )],[refute_0_18092,refute_0_18093]) ).
cnf(refute_0_18095,plain,
( and(or(a,not(xor(a,xor(t6,or(a,t6))))),not(or(not(xor(a,xor(t6,or(a,t6)))),a))) != ll0
| or(a,not(xor(a,xor(t6,or(a,t6))))) != ll1
| and(ll1,not(or(not(xor(a,xor(t6,or(a,t6)))),a))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(a,not(xor(a,xor(t6,or(a,t6))))),not(or(not(xor(a,xor(t6,or(a,t6)))),a))),ll0) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_18096,plain,
( and(or(a,not(xor(a,xor(t6,or(a,t6))))),not(or(not(xor(a,xor(t6,or(a,t6)))),a))) != ll0
| and(ll1,not(or(not(xor(a,xor(t6,or(a,t6)))),a))) = ll0 ),
inference(resolve,[$cnf( $equal(or(a,not(xor(a,xor(t6,or(a,t6))))),ll1) )],[refute_0_18094,refute_0_18095]) ).
cnf(refute_0_18097,plain,
and(ll1,not(or(not(xor(a,xor(t6,or(a,t6)))),a))) = ll0,
inference(resolve,[$cnf( $equal(and(or(a,not(xor(a,xor(t6,or(a,t6))))),not(or(not(xor(a,xor(t6,or(a,t6)))),a))),ll0) )],[refute_0_18035,refute_0_18096]) ).
cnf(refute_0_18098,plain,
not(or(a,not(xor(a,xor(t6,or(a,t6)))))) = and(not(a),xor(a,xor(t6,or(a,t6)))),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(a,xor(t6,or(a,t6))))),bind(X_25,$fot(a))]]) ).
cnf(refute_0_18099,plain,
and(ll1,not(or(a,not(xor(a,xor(t6,or(a,t6))))))) = not(or(a,not(xor(a,xor(t6,or(a,t6)))))),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(or(a,not(xor(a,xor(t6,or(a,t6))))))))]]) ).
cnf(refute_0_18100,plain,
( and(ll1,not(or(a,not(xor(a,xor(t6,or(a,t6))))))) != not(or(a,not(xor(a,xor(t6,or(a,t6))))))
| not(or(a,not(xor(a,xor(t6,or(a,t6)))))) != and(not(a),xor(a,xor(t6,or(a,t6))))
| and(ll1,not(or(a,not(xor(a,xor(t6,or(a,t6))))))) = and(not(a),xor(a,xor(t6,or(a,t6)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(a,not(xor(a,xor(t6,or(a,t6))))))))),bind(Y0,$fot(not(or(a,not(xor(a,xor(t6,or(a,t6)))))))),bind(Z0,$fot(and(not(a),xor(a,xor(t6,or(a,t6))))))]]) ).
cnf(refute_0_18101,plain,
( not(or(a,not(xor(a,xor(t6,or(a,t6)))))) != and(not(a),xor(a,xor(t6,or(a,t6))))
| and(ll1,not(or(a,not(xor(a,xor(t6,or(a,t6))))))) = and(not(a),xor(a,xor(t6,or(a,t6)))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(a,not(xor(a,xor(t6,or(a,t6))))))),not(or(a,not(xor(a,xor(t6,or(a,t6))))))) )],[refute_0_18099,refute_0_18100]) ).
cnf(refute_0_18102,plain,
and(ll1,not(or(a,not(xor(a,xor(t6,or(a,t6))))))) = and(not(a),xor(a,xor(t6,or(a,t6)))),
inference(resolve,[$cnf( $equal(not(or(a,not(xor(a,xor(t6,or(a,t6)))))),and(not(a),xor(a,xor(t6,or(a,t6))))) )],[refute_0_18098,refute_0_18101]) ).
cnf(refute_0_18103,plain,
and(ll1,not(or(not(xor(a,xor(t6,or(a,t6)))),a))) = and(ll1,not(or(a,not(xor(a,xor(t6,or(a,t6))))))),
inference(subst,[],[refute_0_815:[bind(X_25,$fot(a)),bind(X_26,$fot(not(xor(a,xor(t6,or(a,t6)))))),bind(X_29,$fot(ll1))]]) ).
cnf(refute_0_18104,plain,
( and(ll1,not(or(a,not(xor(a,xor(t6,or(a,t6))))))) != and(not(a),xor(a,xor(t6,or(a,t6))))
| and(ll1,not(or(not(xor(a,xor(t6,or(a,t6)))),a))) != and(ll1,not(or(a,not(xor(a,xor(t6,or(a,t6)))))))
| and(ll1,not(or(not(xor(a,xor(t6,or(a,t6)))),a))) = and(not(a),xor(a,xor(t6,or(a,t6)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(xor(a,xor(t6,or(a,t6)))),a))))),bind(Y0,$fot(and(ll1,not(or(a,not(xor(a,xor(t6,or(a,t6))))))))),bind(Z0,$fot(and(not(a),xor(a,xor(t6,or(a,t6))))))]]) ).
cnf(refute_0_18105,plain,
( and(ll1,not(or(a,not(xor(a,xor(t6,or(a,t6))))))) != and(not(a),xor(a,xor(t6,or(a,t6))))
| and(ll1,not(or(not(xor(a,xor(t6,or(a,t6)))),a))) = and(not(a),xor(a,xor(t6,or(a,t6)))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(a,xor(t6,or(a,t6)))),a))),and(ll1,not(or(a,not(xor(a,xor(t6,or(a,t6)))))))) )],[refute_0_18103,refute_0_18104]) ).
cnf(refute_0_18106,plain,
and(ll1,not(or(not(xor(a,xor(t6,or(a,t6)))),a))) = and(not(a),xor(a,xor(t6,or(a,t6)))),
inference(resolve,[$cnf( $equal(and(ll1,not(or(a,not(xor(a,xor(t6,or(a,t6))))))),and(not(a),xor(a,xor(t6,or(a,t6))))) )],[refute_0_18102,refute_0_18105]) ).
cnf(refute_0_18107,plain,
( and(ll1,not(or(not(xor(a,xor(t6,or(a,t6)))),a))) != and(not(a),xor(a,xor(t6,or(a,t6))))
| and(ll1,not(or(not(xor(a,xor(t6,or(a,t6)))),a))) != ll0
| and(not(a),xor(a,xor(t6,or(a,t6)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(ll1,not(or(not(xor(a,xor(t6,or(a,t6)))),a))),ll0) ),[0],$fot(and(not(a),xor(a,xor(t6,or(a,t6)))))]]) ).
cnf(refute_0_18108,plain,
( and(ll1,not(or(not(xor(a,xor(t6,or(a,t6)))),a))) != ll0
| and(not(a),xor(a,xor(t6,or(a,t6)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(a,xor(t6,or(a,t6)))),a))),and(not(a),xor(a,xor(t6,or(a,t6))))) )],[refute_0_18106,refute_0_18107]) ).
cnf(refute_0_18109,plain,
and(not(a),xor(a,xor(t6,or(a,t6)))) = ll0,
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(a,xor(t6,or(a,t6)))),a))),ll0) )],[refute_0_18097,refute_0_18108]) ).
cnf(refute_0_18110,plain,
( and(not(a),xor(a,xor(t6,or(a,t6)))) != ll0
| or(and(a,not(xor(a,xor(t6,or(a,t6))))),and(not(a),xor(a,xor(t6,or(a,t6))))) != xor(a,xor(a,xor(t6,or(a,t6))))
| or(and(a,not(xor(a,xor(t6,or(a,t6))))),ll0) = xor(a,xor(a,xor(t6,or(a,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(a,not(xor(a,xor(t6,or(a,t6))))),and(not(a),xor(a,xor(t6,or(a,t6))))),xor(a,xor(a,xor(t6,or(a,t6))))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_18111,plain,
( or(and(a,not(xor(a,xor(t6,or(a,t6))))),and(not(a),xor(a,xor(t6,or(a,t6))))) != xor(a,xor(a,xor(t6,or(a,t6))))
| or(and(a,not(xor(a,xor(t6,or(a,t6))))),ll0) = xor(a,xor(a,xor(t6,or(a,t6)))) ),
inference(resolve,[$cnf( $equal(and(not(a),xor(a,xor(t6,or(a,t6)))),ll0) )],[refute_0_18109,refute_0_18110]) ).
cnf(refute_0_18112,plain,
or(and(a,not(xor(a,xor(t6,or(a,t6))))),ll0) = xor(a,xor(a,xor(t6,or(a,t6)))),
inference(resolve,[$cnf( $equal(or(and(a,not(xor(a,xor(t6,or(a,t6))))),and(not(a),xor(a,xor(t6,or(a,t6))))),xor(a,xor(a,xor(t6,or(a,t6))))) )],[refute_0_18034,refute_0_18111]) ).
cnf(refute_0_18113,plain,
or(and(a,not(xor(a,xor(t6,or(a,t6))))),ll0) = and(a,not(xor(a,xor(t6,or(a,t6))))),
inference(subst,[],[or_identity:[bind(X,$fot(and(a,not(xor(a,xor(t6,or(a,t6)))))))]]) ).
cnf(refute_0_18114,plain,
( or(and(a,not(xor(a,xor(t6,or(a,t6))))),ll0) != and(a,not(xor(a,xor(t6,or(a,t6)))))
| or(and(a,not(xor(a,xor(t6,or(a,t6))))),ll0) != xor(a,xor(a,xor(t6,or(a,t6))))
| and(a,not(xor(a,xor(t6,or(a,t6))))) = xor(a,xor(a,xor(t6,or(a,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(a,not(xor(a,xor(t6,or(a,t6))))),ll0),xor(a,xor(a,xor(t6,or(a,t6))))) ),[0],$fot(and(a,not(xor(a,xor(t6,or(a,t6))))))]]) ).
cnf(refute_0_18115,plain,
( or(and(a,not(xor(a,xor(t6,or(a,t6))))),ll0) != xor(a,xor(a,xor(t6,or(a,t6))))
| and(a,not(xor(a,xor(t6,or(a,t6))))) = xor(a,xor(a,xor(t6,or(a,t6)))) ),
inference(resolve,[$cnf( $equal(or(and(a,not(xor(a,xor(t6,or(a,t6))))),ll0),and(a,not(xor(a,xor(t6,or(a,t6)))))) )],[refute_0_18113,refute_0_18114]) ).
cnf(refute_0_18116,plain,
xor(a,xor(a,xor(t6,or(a,t6)))) = xor(t6,or(a,t6)),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(a)),bind(X_335,$fot(xor(t6,or(a,t6))))]]) ).
cnf(refute_0_18117,plain,
( and(a,not(xor(a,xor(t6,or(a,t6))))) != xor(a,xor(a,xor(t6,or(a,t6))))
| xor(a,xor(a,xor(t6,or(a,t6)))) != xor(t6,or(a,t6))
| and(a,not(xor(a,xor(t6,or(a,t6))))) = xor(t6,or(a,t6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(a,not(xor(a,xor(t6,or(a,t6))))),xor(t6,or(a,t6))) ),[0],$fot(xor(a,xor(a,xor(t6,or(a,t6)))))]]) ).
cnf(refute_0_18118,plain,
( and(a,not(xor(a,xor(t6,or(a,t6))))) != xor(a,xor(a,xor(t6,or(a,t6))))
| and(a,not(xor(a,xor(t6,or(a,t6))))) = xor(t6,or(a,t6)) ),
inference(resolve,[$cnf( $equal(xor(a,xor(a,xor(t6,or(a,t6)))),xor(t6,or(a,t6))) )],[refute_0_18116,refute_0_18117]) ).
cnf(refute_0_18119,plain,
( or(and(a,not(xor(a,xor(t6,or(a,t6))))),ll0) != xor(a,xor(a,xor(t6,or(a,t6))))
| and(a,not(xor(a,xor(t6,or(a,t6))))) = xor(t6,or(a,t6)) ),
inference(resolve,[$cnf( $equal(and(a,not(xor(a,xor(t6,or(a,t6))))),xor(a,xor(a,xor(t6,or(a,t6))))) )],[refute_0_18115,refute_0_18118]) ).
cnf(refute_0_18120,plain,
and(a,not(xor(a,xor(t6,or(a,t6))))) = xor(t6,or(a,t6)),
inference(resolve,[$cnf( $equal(or(and(a,not(xor(a,xor(t6,or(a,t6))))),ll0),xor(a,xor(a,xor(t6,or(a,t6))))) )],[refute_0_18112,refute_0_18119]) ).
cnf(refute_0_18121,plain,
and(a,not(and(a,carry))) = xor(a,and(a,carry)),
inference(subst,[],[refute_0_12636:[bind(X,$fot(a)),bind(X_282,$fot(carry))]]) ).
cnf(refute_0_18122,plain,
or(and(carry,not(xor(t3,or(a,t6)))),and(not(carry),xor(t3,or(a,t6)))) = xor(carry,xor(t3,or(a,t6))),
inference(subst,[],[refute_0_9:[bind(X,$fot(carry)),bind(Y,$fot(xor(t3,or(a,t6))))]]) ).
cnf(refute_0_18123,plain,
and(not(carry),xor(t3,or(carry,t3))) = and(t1,and(t5,xor(t3,or(carry,t3)))),
inference(subst,[],[refute_0_178:[bind(X_222,$fot(xor(t3,or(carry,t3))))]]) ).
cnf(refute_0_18124,plain,
and(or(t3,not(and(t5,or(carry,t3)))),not(or(not(and(t5,or(carry,t3))),t3))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(not(and(t5,or(carry,t3))))),bind(X_28,$fot(t3))]]) ).
cnf(refute_0_18125,plain,
or(not(t5),or(t3,and(t5,not(t3)))) = ll1,
inference(subst,[],[refute_0_167:[bind(X_29,$fot(t5)),bind(X_30,$fot(t3))]]) ).
cnf(refute_0_18126,plain,
( and(t5,not(t3)) != not(or(carry,t3))
| or(not(t5),or(t3,and(t5,not(t3)))) != ll1
| or(not(t5),or(t3,not(or(carry,t3)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t5),or(t3,and(t5,not(t3)))),ll1) ),[0,1,1],$fot(not(or(carry,t3)))]]) ).
cnf(refute_0_18127,plain,
( or(not(t5),or(t3,and(t5,not(t3)))) != ll1
| or(not(t5),or(t3,not(or(carry,t3)))) = ll1 ),
inference(resolve,[$cnf( $equal(and(t5,not(t3)),not(or(carry,t3))) )],[refute_0_13849,refute_0_18126]) ).
cnf(refute_0_18128,plain,
or(not(t5),or(t3,not(or(carry,t3)))) = ll1,
inference(resolve,[$cnf( $equal(or(not(t5),or(t3,and(t5,not(t3)))),ll1) )],[refute_0_18125,refute_0_18127]) ).
cnf(refute_0_18129,plain,
or(not(t5),not(or(carry,t3))) = not(and(t5,or(carry,t3))),
inference(subst,[],[refute_0_147:[bind(X,$fot(t5)),bind(Y,$fot(or(carry,t3)))]]) ).
cnf(refute_0_18130,plain,
or(t3,or(not(t5),not(or(carry,t3)))) = or(t3,or(not(t5),not(or(carry,t3)))),
introduced(tautology,[refl,[$fot(or(t3,or(not(t5),not(or(carry,t3)))))]]) ).
cnf(refute_0_18131,plain,
( or(not(t5),not(or(carry,t3))) != not(and(t5,or(carry,t3)))
| or(t3,or(not(t5),not(or(carry,t3)))) != or(t3,or(not(t5),not(or(carry,t3))))
| or(t3,or(not(t5),not(or(carry,t3)))) = or(t3,not(and(t5,or(carry,t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,or(not(t5),not(or(carry,t3)))),or(t3,or(not(t5),not(or(carry,t3))))) ),[1,1],$fot(not(and(t5,or(carry,t3))))]]) ).
cnf(refute_0_18132,plain,
( or(not(t5),not(or(carry,t3))) != not(and(t5,or(carry,t3)))
| or(t3,or(not(t5),not(or(carry,t3)))) = or(t3,not(and(t5,or(carry,t3)))) ),
inference(resolve,[$cnf( $equal(or(t3,or(not(t5),not(or(carry,t3)))),or(t3,or(not(t5),not(or(carry,t3))))) )],[refute_0_18130,refute_0_18131]) ).
cnf(refute_0_18133,plain,
or(t3,or(not(t5),not(or(carry,t3)))) = or(t3,not(and(t5,or(carry,t3)))),
inference(resolve,[$cnf( $equal(or(not(t5),not(or(carry,t3))),not(and(t5,or(carry,t3)))) )],[refute_0_18129,refute_0_18132]) ).
cnf(refute_0_18134,plain,
or(not(t5),or(t3,not(or(carry,t3)))) = or(t3,or(not(t5),not(or(carry,t3)))),
inference(subst,[],[refute_0_267:[bind(X_37,$fot(not(t5))),bind(X_38,$fot(t3)),bind(X_39,$fot(not(or(carry,t3))))]]) ).
cnf(refute_0_18135,plain,
( or(not(t5),or(t3,not(or(carry,t3)))) != or(t3,or(not(t5),not(or(carry,t3))))
| or(t3,or(not(t5),not(or(carry,t3)))) != or(t3,not(and(t5,or(carry,t3))))
| or(not(t5),or(t3,not(or(carry,t3)))) = or(t3,not(and(t5,or(carry,t3)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t5),or(t3,not(or(carry,t3)))))),bind(Y0,$fot(or(t3,or(not(t5),not(or(carry,t3)))))),bind(Z0,$fot(or(t3,not(and(t5,or(carry,t3))))))]]) ).
cnf(refute_0_18136,plain,
( or(t3,or(not(t5),not(or(carry,t3)))) != or(t3,not(and(t5,or(carry,t3))))
| or(not(t5),or(t3,not(or(carry,t3)))) = or(t3,not(and(t5,or(carry,t3)))) ),
inference(resolve,[$cnf( $equal(or(not(t5),or(t3,not(or(carry,t3)))),or(t3,or(not(t5),not(or(carry,t3))))) )],[refute_0_18134,refute_0_18135]) ).
cnf(refute_0_18137,plain,
or(not(t5),or(t3,not(or(carry,t3)))) = or(t3,not(and(t5,or(carry,t3)))),
inference(resolve,[$cnf( $equal(or(t3,or(not(t5),not(or(carry,t3)))),or(t3,not(and(t5,or(carry,t3))))) )],[refute_0_18133,refute_0_18136]) ).
cnf(refute_0_18138,plain,
( or(not(t5),or(t3,not(or(carry,t3)))) != ll1
| or(not(t5),or(t3,not(or(carry,t3)))) != or(t3,not(and(t5,or(carry,t3))))
| or(t3,not(and(t5,or(carry,t3)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t5),or(t3,not(or(carry,t3)))),ll1) ),[0],$fot(or(t3,not(and(t5,or(carry,t3)))))]]) ).
cnf(refute_0_18139,plain,
( or(not(t5),or(t3,not(or(carry,t3)))) != ll1
| or(t3,not(and(t5,or(carry,t3)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(not(t5),or(t3,not(or(carry,t3)))),or(t3,not(and(t5,or(carry,t3))))) )],[refute_0_18137,refute_0_18138]) ).
cnf(refute_0_18140,plain,
or(t3,not(and(t5,or(carry,t3)))) = ll1,
inference(resolve,[$cnf( $equal(or(not(t5),or(t3,not(or(carry,t3)))),ll1) )],[refute_0_18128,refute_0_18139]) ).
cnf(refute_0_18141,plain,
( and(or(t3,not(and(t5,or(carry,t3)))),not(or(not(and(t5,or(carry,t3))),t3))) != ll0
| or(t3,not(and(t5,or(carry,t3)))) != ll1
| and(ll1,not(or(not(and(t5,or(carry,t3))),t3))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(t3,not(and(t5,or(carry,t3)))),not(or(not(and(t5,or(carry,t3))),t3))),ll0) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_18142,plain,
( and(or(t3,not(and(t5,or(carry,t3)))),not(or(not(and(t5,or(carry,t3))),t3))) != ll0
| and(ll1,not(or(not(and(t5,or(carry,t3))),t3))) = ll0 ),
inference(resolve,[$cnf( $equal(or(t3,not(and(t5,or(carry,t3)))),ll1) )],[refute_0_18140,refute_0_18141]) ).
cnf(refute_0_18143,plain,
and(ll1,not(or(not(and(t5,or(carry,t3))),t3))) = ll0,
inference(resolve,[$cnf( $equal(and(or(t3,not(and(t5,or(carry,t3)))),not(or(not(and(t5,or(carry,t3))),t3))),ll0) )],[refute_0_18124,refute_0_18142]) ).
cnf(refute_0_18144,plain,
or(and(t3,not(or(X_231,t3))),and(not(t3),or(X_231,t3))) = xor(t3,or(X_231,t3)),
inference(subst,[],[refute_0_9:[bind(X,$fot(t3)),bind(Y,$fot(or(X_231,t3)))]]) ).
cnf(refute_0_18145,plain,
and(and(t1,and(b,t3)),X_222) = and(t1,and(and(b,t3),X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(t1)),bind(Y,$fot(and(b,t3))),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_18146,plain,
and(b,and(t1,t3)) = and(and(t1,t3),b),
inference(subst,[],[and_commutative:[bind(X,$fot(b)),bind(Y,$fot(and(t1,t3)))]]) ).
cnf(refute_0_18147,plain,
and(and(b,t1),not(and(b,t1))) = ll0,
inference(subst,[],[and_complement:[bind(X,$fot(and(b,t1)))]]) ).
cnf(refute_0_18148,plain,
( and(and(b,t1),not(and(b,t1))) != ll0
| not(and(b,t1)) != t3
| and(and(b,t1),t3) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(b,t1),not(and(b,t1))),ll0) ),[0,1],$fot(t3)]]) ).
cnf(refute_0_18149,plain,
( and(and(b,t1),not(and(b,t1))) != ll0
| and(and(b,t1),t3) = ll0 ),
inference(resolve,[$cnf( $equal(not(and(b,t1)),t3) )],[t3,refute_0_18148]) ).
cnf(refute_0_18150,plain,
and(and(b,t1),t3) = ll0,
inference(resolve,[$cnf( $equal(and(and(b,t1),not(and(b,t1))),ll0) )],[refute_0_18147,refute_0_18149]) ).
cnf(refute_0_18151,plain,
and(and(b,t1),t3) = and(b,and(t1,t3)),
inference(subst,[],[and_associative:[bind(X,$fot(b)),bind(Y,$fot(t1)),bind(Z,$fot(t3))]]) ).
cnf(refute_0_18152,plain,
( and(and(b,t1),t3) != and(b,and(t1,t3))
| and(and(b,t1),t3) != ll0
| and(b,and(t1,t3)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(b,t1),t3),ll0) ),[0],$fot(and(b,and(t1,t3)))]]) ).
cnf(refute_0_18153,plain,
( and(and(b,t1),t3) != ll0
| and(b,and(t1,t3)) = ll0 ),
inference(resolve,[$cnf( $equal(and(and(b,t1),t3),and(b,and(t1,t3))) )],[refute_0_18151,refute_0_18152]) ).
cnf(refute_0_18154,plain,
and(b,and(t1,t3)) = ll0,
inference(resolve,[$cnf( $equal(and(and(b,t1),t3),ll0) )],[refute_0_18150,refute_0_18153]) ).
cnf(refute_0_18155,plain,
( and(b,and(t1,t3)) != and(and(t1,t3),b)
| and(b,and(t1,t3)) != ll0
| ll0 = and(and(t1,t3),b) ),
introduced(tautology,[equality,[$cnf( $equal(and(b,and(t1,t3)),and(and(t1,t3),b)) ),[0],$fot(ll0)]]) ).
cnf(refute_0_18156,plain,
( and(b,and(t1,t3)) != and(and(t1,t3),b)
| ll0 = and(and(t1,t3),b) ),
inference(resolve,[$cnf( $equal(and(b,and(t1,t3)),ll0) )],[refute_0_18154,refute_0_18155]) ).
cnf(refute_0_18157,plain,
ll0 = and(and(t1,t3),b),
inference(resolve,[$cnf( $equal(and(b,and(t1,t3)),and(and(t1,t3),b)) )],[refute_0_18146,refute_0_18156]) ).
cnf(refute_0_18158,plain,
and(t3,b) = and(b,t3),
inference(subst,[],[refute_0_116:[bind(X,$fot(b)),bind(Y,$fot(t3))]]) ).
cnf(refute_0_18159,plain,
and(t1,and(t3,b)) = and(t1,and(t3,b)),
introduced(tautology,[refl,[$fot(and(t1,and(t3,b)))]]) ).
cnf(refute_0_18160,plain,
( and(t1,and(t3,b)) != and(t1,and(t3,b))
| and(t3,b) != and(b,t3)
| and(t1,and(t3,b)) = and(t1,and(b,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,and(t3,b)),and(t1,and(t3,b))) ),[1,1],$fot(and(b,t3))]]) ).
cnf(refute_0_18161,plain,
( and(t3,b) != and(b,t3)
| and(t1,and(t3,b)) = and(t1,and(b,t3)) ),
inference(resolve,[$cnf( $equal(and(t1,and(t3,b)),and(t1,and(t3,b))) )],[refute_0_18159,refute_0_18160]) ).
cnf(refute_0_18162,plain,
and(t1,and(t3,b)) = and(t1,and(b,t3)),
inference(resolve,[$cnf( $equal(and(t3,b),and(b,t3)) )],[refute_0_18158,refute_0_18161]) ).
cnf(refute_0_18163,plain,
and(and(t1,t3),b) = and(t1,and(t3,b)),
inference(subst,[],[and_associative:[bind(X,$fot(t1)),bind(Y,$fot(t3)),bind(Z,$fot(b))]]) ).
cnf(refute_0_18164,plain,
( and(and(t1,t3),b) != and(t1,and(t3,b))
| and(t1,and(t3,b)) != and(t1,and(b,t3))
| and(and(t1,t3),b) = and(t1,and(b,t3)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(t1,t3),b))),bind(Y0,$fot(and(t1,and(t3,b)))),bind(Z0,$fot(and(t1,and(b,t3))))]]) ).
cnf(refute_0_18165,plain,
( and(t1,and(t3,b)) != and(t1,and(b,t3))
| and(and(t1,t3),b) = and(t1,and(b,t3)) ),
inference(resolve,[$cnf( $equal(and(and(t1,t3),b),and(t1,and(t3,b))) )],[refute_0_18163,refute_0_18164]) ).
cnf(refute_0_18166,plain,
and(and(t1,t3),b) = and(t1,and(b,t3)),
inference(resolve,[$cnf( $equal(and(t1,and(t3,b)),and(t1,and(b,t3))) )],[refute_0_18162,refute_0_18165]) ).
cnf(refute_0_18167,plain,
( and(and(t1,t3),b) != and(t1,and(b,t3))
| ll0 != and(and(t1,t3),b)
| ll0 = and(t1,and(b,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(and(t1,t3),b)) ),[1],$fot(and(t1,and(b,t3)))]]) ).
cnf(refute_0_18168,plain,
( ll0 != and(and(t1,t3),b)
| ll0 = and(t1,and(b,t3)) ),
inference(resolve,[$cnf( $equal(and(and(t1,t3),b),and(t1,and(b,t3))) )],[refute_0_18166,refute_0_18167]) ).
cnf(refute_0_18169,plain,
ll0 = and(t1,and(b,t3)),
inference(resolve,[$cnf( $equal(ll0,and(and(t1,t3),b)) )],[refute_0_18157,refute_0_18168]) ).
cnf(refute_0_18170,plain,
( ll0 != and(t1,and(b,t3))
| and(t1,and(b,t3)) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(t1,and(b,t3))))]]) ).
cnf(refute_0_18171,plain,
and(t1,and(b,t3)) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(t1,and(b,t3))) )],[refute_0_18169,refute_0_18170]) ).
cnf(refute_0_18172,plain,
( and(and(t1,and(b,t3)),X_222) != and(t1,and(and(b,t3),X_222))
| and(t1,and(b,t3)) != ll0
| and(ll0,X_222) = and(t1,and(and(b,t3),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t1,and(b,t3)),X_222),and(t1,and(and(b,t3),X_222))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_18173,plain,
( and(and(t1,and(b,t3)),X_222) != and(t1,and(and(b,t3),X_222))
| and(ll0,X_222) = and(t1,and(and(b,t3),X_222)) ),
inference(resolve,[$cnf( $equal(and(t1,and(b,t3)),ll0) )],[refute_0_18171,refute_0_18172]) ).
cnf(refute_0_18174,plain,
and(ll0,X_222) = and(t1,and(and(b,t3),X_222)),
inference(resolve,[$cnf( $equal(and(and(t1,and(b,t3)),X_222),and(t1,and(and(b,t3),X_222))) )],[refute_0_18145,refute_0_18173]) ).
cnf(refute_0_18175,plain,
( and(ll0,X_222) != and(t1,and(and(b,t3),X_222))
| and(ll0,X_222) != ll0
| ll0 = and(t1,and(and(b,t3),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(ll0,X_222),and(t1,and(and(b,t3),X_222))) ),[0],$fot(ll0)]]) ).
cnf(refute_0_18176,plain,
( and(ll0,X_222) != and(t1,and(and(b,t3),X_222))
| ll0 = and(t1,and(and(b,t3),X_222)) ),
inference(resolve,[$cnf( $equal(and(ll0,X_222),ll0) )],[refute_0_873,refute_0_18175]) ).
cnf(refute_0_18177,plain,
and(not(t3),and(t3,X_222)) = and(t3,and(X_222,not(t3))),
inference(subst,[],[refute_0_880:[bind(X,$fot(not(t3))),bind(X_220,$fot(t3)),bind(X_221,$fot(X_222))]]) ).
cnf(refute_0_18178,plain,
and(and(b,t1),X_222) = and(b,and(t1,X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(b)),bind(Y,$fot(t1)),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_18179,plain,
( and(and(b,t1),X_222) != and(b,and(t1,X_222))
| and(b,t1) != not(t3)
| and(not(t3),X_222) = and(b,and(t1,X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(b,t1),X_222),and(b,and(t1,X_222))) ),[0,0],$fot(not(t3))]]) ).
cnf(refute_0_18180,plain,
( and(and(b,t1),X_222) != and(b,and(t1,X_222))
| and(not(t3),X_222) = and(b,and(t1,X_222)) ),
inference(resolve,[$cnf( $equal(and(b,t1),not(t3)) )],[refute_0_1270,refute_0_18179]) ).
cnf(refute_0_18181,plain,
and(not(t3),X_222) = and(b,and(t1,X_222)),
inference(resolve,[$cnf( $equal(and(and(b,t1),X_222),and(b,and(t1,X_222))) )],[refute_0_18178,refute_0_18180]) ).
cnf(refute_0_18182,plain,
( and(not(t3),X_222) != and(b,and(t1,X_222))
| and(b,and(t1,X_222)) = and(not(t3),X_222) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t3),X_222))),bind(Y0,$fot(and(b,and(t1,X_222))))]]) ).
cnf(refute_0_18183,plain,
and(b,and(t1,X_222)) = and(not(t3),X_222),
inference(resolve,[$cnf( $equal(and(not(t3),X_222),and(b,and(t1,X_222))) )],[refute_0_18181,refute_0_18182]) ).
cnf(refute_0_18184,plain,
and(b,and(t1,and(t3,X_222))) = and(not(t3),and(t3,X_222)),
inference(subst,[],[refute_0_18183:[bind(X_222,$fot(and(t3,X_222)))]]) ).
cnf(refute_0_18185,plain,
( and(b,and(t1,and(t3,X_222))) != and(not(t3),and(t3,X_222))
| and(not(t3),and(t3,X_222)) != and(t3,and(X_222,not(t3)))
| and(b,and(t1,and(t3,X_222))) = and(t3,and(X_222,not(t3))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(b,and(t1,and(t3,X_222))))),bind(Y0,$fot(and(not(t3),and(t3,X_222)))),bind(Z0,$fot(and(t3,and(X_222,not(t3)))))]]) ).
cnf(refute_0_18186,plain,
( and(not(t3),and(t3,X_222)) != and(t3,and(X_222,not(t3)))
| and(b,and(t1,and(t3,X_222))) = and(t3,and(X_222,not(t3))) ),
inference(resolve,[$cnf( $equal(and(b,and(t1,and(t3,X_222))),and(not(t3),and(t3,X_222))) )],[refute_0_18184,refute_0_18185]) ).
cnf(refute_0_18187,plain,
and(b,and(t1,and(t3,X_222))) = and(t3,and(X_222,not(t3))),
inference(resolve,[$cnf( $equal(and(not(t3),and(t3,X_222)),and(t3,and(X_222,not(t3)))) )],[refute_0_18177,refute_0_18186]) ).
cnf(refute_0_18188,plain,
and(t3,and(X_222,t1)) = and(t1,and(t3,X_222)),
inference(subst,[],[refute_0_889:[bind(X,$fot(t1)),bind(X_220,$fot(t3)),bind(X_221,$fot(X_222))]]) ).
cnf(refute_0_18189,plain,
and(and(t3,X_222),t1) = and(t3,and(X_222,t1)),
inference(subst,[],[and_associative:[bind(X,$fot(t3)),bind(Y,$fot(X_222)),bind(Z,$fot(t1))]]) ).
cnf(refute_0_18190,plain,
( and(and(t3,X_222),t1) != and(t3,and(X_222,t1))
| and(t3,and(X_222,t1)) != and(t1,and(t3,X_222))
| and(and(t3,X_222),t1) = and(t1,and(t3,X_222)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(t3,X_222),t1))),bind(Y0,$fot(and(t3,and(X_222,t1)))),bind(Z0,$fot(and(t1,and(t3,X_222))))]]) ).
cnf(refute_0_18191,plain,
( and(t3,and(X_222,t1)) != and(t1,and(t3,X_222))
| and(and(t3,X_222),t1) = and(t1,and(t3,X_222)) ),
inference(resolve,[$cnf( $equal(and(and(t3,X_222),t1),and(t3,and(X_222,t1))) )],[refute_0_18189,refute_0_18190]) ).
cnf(refute_0_18192,plain,
and(and(t3,X_222),t1) = and(t1,and(t3,X_222)),
inference(resolve,[$cnf( $equal(and(t3,and(X_222,t1)),and(t1,and(t3,X_222))) )],[refute_0_18188,refute_0_18191]) ).
cnf(refute_0_18193,plain,
and(b,and(and(t3,X_222),t1)) = and(b,and(and(t3,X_222),t1)),
introduced(tautology,[refl,[$fot(and(b,and(and(t3,X_222),t1)))]]) ).
cnf(refute_0_18194,plain,
( and(and(t3,X_222),t1) != and(t1,and(t3,X_222))
| and(b,and(and(t3,X_222),t1)) != and(b,and(and(t3,X_222),t1))
| and(b,and(and(t3,X_222),t1)) = and(b,and(t1,and(t3,X_222))) ),
introduced(tautology,[equality,[$cnf( $equal(and(b,and(and(t3,X_222),t1)),and(b,and(and(t3,X_222),t1))) ),[1,1],$fot(and(t1,and(t3,X_222)))]]) ).
cnf(refute_0_18195,plain,
( and(and(t3,X_222),t1) != and(t1,and(t3,X_222))
| and(b,and(and(t3,X_222),t1)) = and(b,and(t1,and(t3,X_222))) ),
inference(resolve,[$cnf( $equal(and(b,and(and(t3,X_222),t1)),and(b,and(and(t3,X_222),t1))) )],[refute_0_18193,refute_0_18194]) ).
cnf(refute_0_18196,plain,
and(b,and(and(t3,X_222),t1)) = and(b,and(t1,and(t3,X_222))),
inference(resolve,[$cnf( $equal(and(and(t3,X_222),t1),and(t1,and(t3,X_222))) )],[refute_0_18192,refute_0_18195]) ).
cnf(refute_0_18197,plain,
( and(b,and(and(t3,X_222),t1)) != and(b,and(t1,and(t3,X_222)))
| and(b,and(t1,and(t3,X_222))) != and(t3,and(X_222,not(t3)))
| and(b,and(and(t3,X_222),t1)) = and(t3,and(X_222,not(t3))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(b,and(and(t3,X_222),t1)))),bind(Y0,$fot(and(b,and(t1,and(t3,X_222))))),bind(Z0,$fot(and(t3,and(X_222,not(t3)))))]]) ).
cnf(refute_0_18198,plain,
( and(b,and(t1,and(t3,X_222))) != and(t3,and(X_222,not(t3)))
| and(b,and(and(t3,X_222),t1)) = and(t3,and(X_222,not(t3))) ),
inference(resolve,[$cnf( $equal(and(b,and(and(t3,X_222),t1)),and(b,and(t1,and(t3,X_222)))) )],[refute_0_18196,refute_0_18197]) ).
cnf(refute_0_18199,plain,
and(b,and(and(t3,X_222),t1)) = and(t3,and(X_222,not(t3))),
inference(resolve,[$cnf( $equal(and(b,and(t1,and(t3,X_222))),and(t3,and(X_222,not(t3)))) )],[refute_0_18187,refute_0_18198]) ).
cnf(refute_0_18200,plain,
and(t1,and(b,and(t3,X_222))) = and(b,and(and(t3,X_222),t1)),
inference(subst,[],[refute_0_880:[bind(X,$fot(t1)),bind(X_220,$fot(b)),bind(X_221,$fot(and(t3,X_222)))]]) ).
cnf(refute_0_18201,plain,
( and(b,and(and(t3,X_222),t1)) != and(t3,and(X_222,not(t3)))
| and(t1,and(b,and(t3,X_222))) != and(b,and(and(t3,X_222),t1))
| and(t1,and(b,and(t3,X_222))) = and(t3,and(X_222,not(t3))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t1,and(b,and(t3,X_222))))),bind(Y0,$fot(and(b,and(and(t3,X_222),t1)))),bind(Z0,$fot(and(t3,and(X_222,not(t3)))))]]) ).
cnf(refute_0_18202,plain,
( and(b,and(and(t3,X_222),t1)) != and(t3,and(X_222,not(t3)))
| and(t1,and(b,and(t3,X_222))) = and(t3,and(X_222,not(t3))) ),
inference(resolve,[$cnf( $equal(and(t1,and(b,and(t3,X_222))),and(b,and(and(t3,X_222),t1))) )],[refute_0_18200,refute_0_18201]) ).
cnf(refute_0_18203,plain,
and(t1,and(b,and(t3,X_222))) = and(t3,and(X_222,not(t3))),
inference(resolve,[$cnf( $equal(and(b,and(and(t3,X_222),t1)),and(t3,and(X_222,not(t3)))) )],[refute_0_18199,refute_0_18202]) ).
cnf(refute_0_18204,plain,
and(and(b,t3),X_222) = and(b,and(t3,X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(b)),bind(Y,$fot(t3)),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_18205,plain,
and(t1,and(and(b,t3),X_222)) = and(t1,and(and(b,t3),X_222)),
introduced(tautology,[refl,[$fot(and(t1,and(and(b,t3),X_222)))]]) ).
cnf(refute_0_18206,plain,
( and(and(b,t3),X_222) != and(b,and(t3,X_222))
| and(t1,and(and(b,t3),X_222)) != and(t1,and(and(b,t3),X_222))
| and(t1,and(and(b,t3),X_222)) = and(t1,and(b,and(t3,X_222))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,and(and(b,t3),X_222)),and(t1,and(and(b,t3),X_222))) ),[1,1],$fot(and(b,and(t3,X_222)))]]) ).
cnf(refute_0_18207,plain,
( and(and(b,t3),X_222) != and(b,and(t3,X_222))
| and(t1,and(and(b,t3),X_222)) = and(t1,and(b,and(t3,X_222))) ),
inference(resolve,[$cnf( $equal(and(t1,and(and(b,t3),X_222)),and(t1,and(and(b,t3),X_222))) )],[refute_0_18205,refute_0_18206]) ).
cnf(refute_0_18208,plain,
and(t1,and(and(b,t3),X_222)) = and(t1,and(b,and(t3,X_222))),
inference(resolve,[$cnf( $equal(and(and(b,t3),X_222),and(b,and(t3,X_222))) )],[refute_0_18204,refute_0_18207]) ).
cnf(refute_0_18209,plain,
( and(t1,and(and(b,t3),X_222)) != and(t1,and(b,and(t3,X_222)))
| and(t1,and(b,and(t3,X_222))) != and(t3,and(X_222,not(t3)))
| and(t1,and(and(b,t3),X_222)) = and(t3,and(X_222,not(t3))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t1,and(and(b,t3),X_222)))),bind(Y0,$fot(and(t1,and(b,and(t3,X_222))))),bind(Z0,$fot(and(t3,and(X_222,not(t3)))))]]) ).
cnf(refute_0_18210,plain,
( and(t1,and(b,and(t3,X_222))) != and(t3,and(X_222,not(t3)))
| and(t1,and(and(b,t3),X_222)) = and(t3,and(X_222,not(t3))) ),
inference(resolve,[$cnf( $equal(and(t1,and(and(b,t3),X_222)),and(t1,and(b,and(t3,X_222)))) )],[refute_0_18208,refute_0_18209]) ).
cnf(refute_0_18211,plain,
and(t1,and(and(b,t3),X_222)) = and(t3,and(X_222,not(t3))),
inference(resolve,[$cnf( $equal(and(t1,and(b,and(t3,X_222))),and(t3,and(X_222,not(t3)))) )],[refute_0_18203,refute_0_18210]) ).
cnf(refute_0_18212,plain,
( and(t1,and(and(b,t3),X_222)) != and(t3,and(X_222,not(t3)))
| ll0 != and(t1,and(and(b,t3),X_222))
| ll0 = and(t3,and(X_222,not(t3))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(t1,and(and(b,t3),X_222))) ),[1],$fot(and(t3,and(X_222,not(t3))))]]) ).
cnf(refute_0_18213,plain,
( ll0 != and(t1,and(and(b,t3),X_222))
| ll0 = and(t3,and(X_222,not(t3))) ),
inference(resolve,[$cnf( $equal(and(t1,and(and(b,t3),X_222)),and(t3,and(X_222,not(t3)))) )],[refute_0_18211,refute_0_18212]) ).
cnf(refute_0_18214,plain,
( and(ll0,X_222) != and(t1,and(and(b,t3),X_222))
| ll0 = and(t3,and(X_222,not(t3))) ),
inference(resolve,[$cnf( $equal(ll0,and(t1,and(and(b,t3),X_222))) )],[refute_0_18176,refute_0_18213]) ).
cnf(refute_0_18215,plain,
ll0 = and(t3,and(X_222,not(t3))),
inference(resolve,[$cnf( $equal(and(ll0,X_222),and(t1,and(and(b,t3),X_222))) )],[refute_0_18174,refute_0_18214]) ).
cnf(refute_0_18216,plain,
ll0 = and(t3,and(not(X),not(t3))),
inference(subst,[],[refute_0_18215:[bind(X_222,$fot(not(X)))]]) ).
cnf(refute_0_18217,plain,
not(or(X,t3)) = and(not(X),not(t3)),
inference(subst,[],[or_demorgan:[bind(Y,$fot(t3))]]) ).
cnf(refute_0_18218,plain,
( not(or(X,t3)) != and(not(X),not(t3))
| and(not(X),not(t3)) = not(or(X,t3)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X,t3)))),bind(Y0,$fot(and(not(X),not(t3))))]]) ).
cnf(refute_0_18219,plain,
and(not(X),not(t3)) = not(or(X,t3)),
inference(resolve,[$cnf( $equal(not(or(X,t3)),and(not(X),not(t3))) )],[refute_0_18217,refute_0_18218]) ).
cnf(refute_0_18220,plain,
( and(not(X),not(t3)) != not(or(X,t3))
| ll0 != and(t3,and(not(X),not(t3)))
| ll0 = and(t3,not(or(X,t3))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(t3,and(not(X),not(t3)))) ),[1,1],$fot(not(or(X,t3)))]]) ).
cnf(refute_0_18221,plain,
( ll0 != and(t3,and(not(X),not(t3)))
| ll0 = and(t3,not(or(X,t3))) ),
inference(resolve,[$cnf( $equal(and(not(X),not(t3)),not(or(X,t3))) )],[refute_0_18219,refute_0_18220]) ).
cnf(refute_0_18222,plain,
ll0 = and(t3,not(or(X,t3))),
inference(resolve,[$cnf( $equal(ll0,and(t3,and(not(X),not(t3)))) )],[refute_0_18216,refute_0_18221]) ).
cnf(refute_0_18223,plain,
ll0 = and(t3,not(or(X_231,t3))),
inference(subst,[],[refute_0_18222:[bind(X,$fot(X_231))]]) ).
cnf(refute_0_18224,plain,
( ll0 != and(t3,not(or(X_231,t3)))
| and(t3,not(or(X_231,t3))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(t3,not(or(X_231,t3)))))]]) ).
cnf(refute_0_18225,plain,
and(t3,not(or(X_231,t3))) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(t3,not(or(X_231,t3)))) )],[refute_0_18223,refute_0_18224]) ).
cnf(refute_0_18226,plain,
( and(t3,not(or(X_231,t3))) != ll0
| or(and(t3,not(or(X_231,t3))),and(not(t3),or(X_231,t3))) != xor(t3,or(X_231,t3))
| or(ll0,and(not(t3),or(X_231,t3))) = xor(t3,or(X_231,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t3,not(or(X_231,t3))),and(not(t3),or(X_231,t3))),xor(t3,or(X_231,t3))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_18227,plain,
( or(and(t3,not(or(X_231,t3))),and(not(t3),or(X_231,t3))) != xor(t3,or(X_231,t3))
| or(ll0,and(not(t3),or(X_231,t3))) = xor(t3,or(X_231,t3)) ),
inference(resolve,[$cnf( $equal(and(t3,not(or(X_231,t3))),ll0) )],[refute_0_18225,refute_0_18226]) ).
cnf(refute_0_18228,plain,
or(ll0,and(not(t3),or(X_231,t3))) = xor(t3,or(X_231,t3)),
inference(resolve,[$cnf( $equal(or(and(t3,not(or(X_231,t3))),and(not(t3),or(X_231,t3))),xor(t3,or(X_231,t3))) )],[refute_0_18144,refute_0_18227]) ).
cnf(refute_0_18229,plain,
or(ll0,and(not(t3),or(X_231,t3))) = and(not(t3),or(X_231,t3)),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(t3),or(X_231,t3))))]]) ).
cnf(refute_0_18230,plain,
( or(ll0,and(not(t3),or(X_231,t3))) != and(not(t3),or(X_231,t3))
| or(ll0,and(not(t3),or(X_231,t3))) != xor(t3,or(X_231,t3))
| and(not(t3),or(X_231,t3)) = xor(t3,or(X_231,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(t3),or(X_231,t3))),xor(t3,or(X_231,t3))) ),[0],$fot(and(not(t3),or(X_231,t3)))]]) ).
cnf(refute_0_18231,plain,
( or(ll0,and(not(t3),or(X_231,t3))) != xor(t3,or(X_231,t3))
| and(not(t3),or(X_231,t3)) = xor(t3,or(X_231,t3)) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t3),or(X_231,t3))),and(not(t3),or(X_231,t3))) )],[refute_0_18229,refute_0_18230]) ).
cnf(refute_0_18232,plain,
and(not(t3),or(X_231,t3)) = xor(t3,or(X_231,t3)),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t3),or(X_231,t3))),xor(t3,or(X_231,t3))) )],[refute_0_18228,refute_0_18231]) ).
cnf(refute_0_18233,plain,
and(not(t3),or(carry,t3)) = xor(t3,or(carry,t3)),
inference(subst,[],[refute_0_18232:[bind(X_231,$fot(carry))]]) ).
cnf(refute_0_18234,plain,
and(t5,and(not(t3),or(carry,t3))) = and(t5,and(not(t3),or(carry,t3))),
introduced(tautology,[refl,[$fot(and(t5,and(not(t3),or(carry,t3))))]]) ).
cnf(refute_0_18235,plain,
( and(not(t3),or(carry,t3)) != xor(t3,or(carry,t3))
| and(t5,and(not(t3),or(carry,t3))) != and(t5,and(not(t3),or(carry,t3)))
| and(t5,and(not(t3),or(carry,t3))) = and(t5,xor(t3,or(carry,t3))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,and(not(t3),or(carry,t3))),and(t5,and(not(t3),or(carry,t3)))) ),[1,1],$fot(xor(t3,or(carry,t3)))]]) ).
cnf(refute_0_18236,plain,
( and(not(t3),or(carry,t3)) != xor(t3,or(carry,t3))
| and(t5,and(not(t3),or(carry,t3))) = and(t5,xor(t3,or(carry,t3))) ),
inference(resolve,[$cnf( $equal(and(t5,and(not(t3),or(carry,t3))),and(t5,and(not(t3),or(carry,t3)))) )],[refute_0_18234,refute_0_18235]) ).
cnf(refute_0_18237,plain,
and(t5,and(not(t3),or(carry,t3))) = and(t5,xor(t3,or(carry,t3))),
inference(resolve,[$cnf( $equal(and(not(t3),or(carry,t3)),xor(t3,or(carry,t3))) )],[refute_0_18233,refute_0_18236]) ).
cnf(refute_0_18238,plain,
and(not(t3),and(t5,or(carry,t3))) = and(t5,and(not(t3),or(carry,t3))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(t3))),bind(X_221,$fot(t5)),bind(X_222,$fot(or(carry,t3)))]]) ).
cnf(refute_0_18239,plain,
not(or(t3,not(and(t5,or(carry,t3))))) = and(not(t3),and(t5,or(carry,t3))),
inference(subst,[],[refute_0_801:[bind(X,$fot(and(t5,or(carry,t3)))),bind(X_25,$fot(t3))]]) ).
cnf(refute_0_18240,plain,
( and(not(t3),and(t5,or(carry,t3))) != and(t5,and(not(t3),or(carry,t3)))
| not(or(t3,not(and(t5,or(carry,t3))))) != and(not(t3),and(t5,or(carry,t3)))
| not(or(t3,not(and(t5,or(carry,t3))))) = and(t5,and(not(t3),or(carry,t3))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(t3,not(and(t5,or(carry,t3))))))),bind(Y0,$fot(and(not(t3),and(t5,or(carry,t3))))),bind(Z0,$fot(and(t5,and(not(t3),or(carry,t3)))))]]) ).
cnf(refute_0_18241,plain,
( and(not(t3),and(t5,or(carry,t3))) != and(t5,and(not(t3),or(carry,t3)))
| not(or(t3,not(and(t5,or(carry,t3))))) = and(t5,and(not(t3),or(carry,t3))) ),
inference(resolve,[$cnf( $equal(not(or(t3,not(and(t5,or(carry,t3))))),and(not(t3),and(t5,or(carry,t3)))) )],[refute_0_18239,refute_0_18240]) ).
cnf(refute_0_18242,plain,
not(or(t3,not(and(t5,or(carry,t3))))) = and(t5,and(not(t3),or(carry,t3))),
inference(resolve,[$cnf( $equal(and(not(t3),and(t5,or(carry,t3))),and(t5,and(not(t3),or(carry,t3)))) )],[refute_0_18238,refute_0_18241]) ).
cnf(refute_0_18243,plain,
and(ll1,not(or(t3,not(and(t5,or(carry,t3)))))) = not(or(t3,not(and(t5,or(carry,t3))))),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(or(t3,not(and(t5,or(carry,t3)))))))]]) ).
cnf(refute_0_18244,plain,
( and(ll1,not(or(t3,not(and(t5,or(carry,t3)))))) != not(or(t3,not(and(t5,or(carry,t3)))))
| not(or(t3,not(and(t5,or(carry,t3))))) != and(t5,and(not(t3),or(carry,t3)))
| and(ll1,not(or(t3,not(and(t5,or(carry,t3)))))) = and(t5,and(not(t3),or(carry,t3))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(t3,not(and(t5,or(carry,t3)))))))),bind(Y0,$fot(not(or(t3,not(and(t5,or(carry,t3))))))),bind(Z0,$fot(and(t5,and(not(t3),or(carry,t3)))))]]) ).
cnf(refute_0_18245,plain,
( not(or(t3,not(and(t5,or(carry,t3))))) != and(t5,and(not(t3),or(carry,t3)))
| and(ll1,not(or(t3,not(and(t5,or(carry,t3)))))) = and(t5,and(not(t3),or(carry,t3))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t3,not(and(t5,or(carry,t3)))))),not(or(t3,not(and(t5,or(carry,t3)))))) )],[refute_0_18243,refute_0_18244]) ).
cnf(refute_0_18246,plain,
and(ll1,not(or(t3,not(and(t5,or(carry,t3)))))) = and(t5,and(not(t3),or(carry,t3))),
inference(resolve,[$cnf( $equal(not(or(t3,not(and(t5,or(carry,t3))))),and(t5,and(not(t3),or(carry,t3)))) )],[refute_0_18242,refute_0_18245]) ).
cnf(refute_0_18247,plain,
and(ll1,not(or(not(and(t5,or(carry,t3))),t3))) = and(ll1,not(or(t3,not(and(t5,or(carry,t3)))))),
inference(subst,[],[refute_0_815:[bind(X_25,$fot(t3)),bind(X_26,$fot(not(and(t5,or(carry,t3))))),bind(X_29,$fot(ll1))]]) ).
cnf(refute_0_18248,plain,
( and(ll1,not(or(not(and(t5,or(carry,t3))),t3))) != and(ll1,not(or(t3,not(and(t5,or(carry,t3))))))
| and(ll1,not(or(t3,not(and(t5,or(carry,t3)))))) != and(t5,and(not(t3),or(carry,t3)))
| and(ll1,not(or(not(and(t5,or(carry,t3))),t3))) = and(t5,and(not(t3),or(carry,t3))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(and(t5,or(carry,t3))),t3))))),bind(Y0,$fot(and(ll1,not(or(t3,not(and(t5,or(carry,t3)))))))),bind(Z0,$fot(and(t5,and(not(t3),or(carry,t3)))))]]) ).
cnf(refute_0_18249,plain,
( and(ll1,not(or(t3,not(and(t5,or(carry,t3)))))) != and(t5,and(not(t3),or(carry,t3)))
| and(ll1,not(or(not(and(t5,or(carry,t3))),t3))) = and(t5,and(not(t3),or(carry,t3))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(and(t5,or(carry,t3))),t3))),and(ll1,not(or(t3,not(and(t5,or(carry,t3))))))) )],[refute_0_18247,refute_0_18248]) ).
cnf(refute_0_18250,plain,
and(ll1,not(or(not(and(t5,or(carry,t3))),t3))) = and(t5,and(not(t3),or(carry,t3))),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t3,not(and(t5,or(carry,t3)))))),and(t5,and(not(t3),or(carry,t3)))) )],[refute_0_18246,refute_0_18249]) ).
cnf(refute_0_18251,plain,
( and(ll1,not(or(not(and(t5,or(carry,t3))),t3))) != and(t5,and(not(t3),or(carry,t3)))
| and(t5,and(not(t3),or(carry,t3))) != and(t5,xor(t3,or(carry,t3)))
| and(ll1,not(or(not(and(t5,or(carry,t3))),t3))) = and(t5,xor(t3,or(carry,t3))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(and(t5,or(carry,t3))),t3))))),bind(Y0,$fot(and(t5,and(not(t3),or(carry,t3))))),bind(Z0,$fot(and(t5,xor(t3,or(carry,t3)))))]]) ).
cnf(refute_0_18252,plain,
( and(t5,and(not(t3),or(carry,t3))) != and(t5,xor(t3,or(carry,t3)))
| and(ll1,not(or(not(and(t5,or(carry,t3))),t3))) = and(t5,xor(t3,or(carry,t3))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(and(t5,or(carry,t3))),t3))),and(t5,and(not(t3),or(carry,t3)))) )],[refute_0_18250,refute_0_18251]) ).
cnf(refute_0_18253,plain,
and(ll1,not(or(not(and(t5,or(carry,t3))),t3))) = and(t5,xor(t3,or(carry,t3))),
inference(resolve,[$cnf( $equal(and(t5,and(not(t3),or(carry,t3))),and(t5,xor(t3,or(carry,t3)))) )],[refute_0_18237,refute_0_18252]) ).
cnf(refute_0_18254,plain,
( and(ll1,not(or(not(and(t5,or(carry,t3))),t3))) != and(t5,xor(t3,or(carry,t3)))
| and(ll1,not(or(not(and(t5,or(carry,t3))),t3))) != ll0
| and(t5,xor(t3,or(carry,t3))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(ll1,not(or(not(and(t5,or(carry,t3))),t3))),ll0) ),[0],$fot(and(t5,xor(t3,or(carry,t3))))]]) ).
cnf(refute_0_18255,plain,
( and(ll1,not(or(not(and(t5,or(carry,t3))),t3))) != ll0
| and(t5,xor(t3,or(carry,t3))) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(and(t5,or(carry,t3))),t3))),and(t5,xor(t3,or(carry,t3)))) )],[refute_0_18253,refute_0_18254]) ).
cnf(refute_0_18256,plain,
and(t5,xor(t3,or(carry,t3))) = ll0,
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(and(t5,or(carry,t3))),t3))),ll0) )],[refute_0_18143,refute_0_18255]) ).
cnf(refute_0_18257,plain,
( and(not(carry),xor(t3,or(carry,t3))) != and(t1,and(t5,xor(t3,or(carry,t3))))
| and(t5,xor(t3,or(carry,t3))) != ll0
| and(not(carry),xor(t3,or(carry,t3))) = and(t1,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),xor(t3,or(carry,t3))),and(t1,and(t5,xor(t3,or(carry,t3))))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_18258,plain,
( and(not(carry),xor(t3,or(carry,t3))) != and(t1,and(t5,xor(t3,or(carry,t3))))
| and(not(carry),xor(t3,or(carry,t3))) = and(t1,ll0) ),
inference(resolve,[$cnf( $equal(and(t5,xor(t3,or(carry,t3))),ll0) )],[refute_0_18256,refute_0_18257]) ).
cnf(refute_0_18259,plain,
and(not(carry),xor(t3,or(carry,t3))) = and(t1,ll0),
inference(resolve,[$cnf( $equal(and(not(carry),xor(t3,or(carry,t3))),and(t1,and(t5,xor(t3,or(carry,t3))))) )],[refute_0_18123,refute_0_18258]) ).
cnf(refute_0_18260,plain,
( and(not(carry),xor(t3,or(carry,t3))) != and(t1,ll0)
| and(t1,ll0) != ll0
| and(not(carry),xor(t3,or(carry,t3))) = ll0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(carry),xor(t3,or(carry,t3))),ll0) ),[0],$fot(and(t1,ll0))]]) ).
cnf(refute_0_18261,plain,
( and(not(carry),xor(t3,or(carry,t3))) != and(t1,ll0)
| and(not(carry),xor(t3,or(carry,t3))) = ll0 ),
inference(resolve,[$cnf( $equal(and(t1,ll0),ll0) )],[refute_0_7734,refute_0_18260]) ).
cnf(refute_0_18262,plain,
and(not(carry),xor(t3,or(carry,t3))) = ll0,
inference(resolve,[$cnf( $equal(and(not(carry),xor(t3,or(carry,t3))),and(t1,ll0)) )],[refute_0_18259,refute_0_18261]) ).
cnf(refute_0_18263,plain,
xor(t3,or(carry,t3)) = xor(t3,or(carry,t3)),
introduced(tautology,[refl,[$fot(xor(t3,or(carry,t3)))]]) ).
cnf(refute_0_18264,plain,
( or(carry,t3) != or(a,t6)
| xor(t3,or(carry,t3)) != xor(t3,or(carry,t3))
| xor(t3,or(carry,t3)) = xor(t3,or(a,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,or(carry,t3)),xor(t3,or(carry,t3))) ),[1,1],$fot(or(a,t6))]]) ).
cnf(refute_0_18265,plain,
( or(carry,t3) != or(a,t6)
| xor(t3,or(carry,t3)) = xor(t3,or(a,t6)) ),
inference(resolve,[$cnf( $equal(xor(t3,or(carry,t3)),xor(t3,or(carry,t3))) )],[refute_0_18263,refute_0_18264]) ).
cnf(refute_0_18266,plain,
xor(t3,or(carry,t3)) = xor(t3,or(a,t6)),
inference(resolve,[$cnf( $equal(or(carry,t3),or(a,t6)) )],[refute_0_14021,refute_0_18265]) ).
cnf(refute_0_18267,plain,
and(not(carry),xor(t3,or(carry,t3))) = and(not(carry),xor(t3,or(carry,t3))),
introduced(tautology,[refl,[$fot(and(not(carry),xor(t3,or(carry,t3))))]]) ).
cnf(refute_0_18268,plain,
( and(not(carry),xor(t3,or(carry,t3))) != and(not(carry),xor(t3,or(carry,t3)))
| xor(t3,or(carry,t3)) != xor(t3,or(a,t6))
| and(not(carry),xor(t3,or(carry,t3))) = and(not(carry),xor(t3,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),xor(t3,or(carry,t3))),and(not(carry),xor(t3,or(carry,t3)))) ),[1,1],$fot(xor(t3,or(a,t6)))]]) ).
cnf(refute_0_18269,plain,
( xor(t3,or(carry,t3)) != xor(t3,or(a,t6))
| and(not(carry),xor(t3,or(carry,t3))) = and(not(carry),xor(t3,or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(not(carry),xor(t3,or(carry,t3))),and(not(carry),xor(t3,or(carry,t3)))) )],[refute_0_18267,refute_0_18268]) ).
cnf(refute_0_18270,plain,
and(not(carry),xor(t3,or(carry,t3))) = and(not(carry),xor(t3,or(a,t6))),
inference(resolve,[$cnf( $equal(xor(t3,or(carry,t3)),xor(t3,or(a,t6))) )],[refute_0_18266,refute_0_18269]) ).
cnf(refute_0_18271,plain,
( and(not(carry),xor(t3,or(carry,t3))) != and(not(carry),xor(t3,or(a,t6)))
| and(not(carry),xor(t3,or(carry,t3))) != ll0
| and(not(carry),xor(t3,or(a,t6))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),xor(t3,or(carry,t3))),ll0) ),[0],$fot(and(not(carry),xor(t3,or(a,t6))))]]) ).
cnf(refute_0_18272,plain,
( and(not(carry),xor(t3,or(carry,t3))) != ll0
| and(not(carry),xor(t3,or(a,t6))) = ll0 ),
inference(resolve,[$cnf( $equal(and(not(carry),xor(t3,or(carry,t3))),and(not(carry),xor(t3,or(a,t6)))) )],[refute_0_18270,refute_0_18271]) ).
cnf(refute_0_18273,plain,
and(not(carry),xor(t3,or(a,t6))) = ll0,
inference(resolve,[$cnf( $equal(and(not(carry),xor(t3,or(carry,t3))),ll0) )],[refute_0_18262,refute_0_18272]) ).
cnf(refute_0_18274,plain,
( and(not(carry),xor(t3,or(a,t6))) != ll0
| or(and(carry,not(xor(t3,or(a,t6)))),and(not(carry),xor(t3,or(a,t6)))) != xor(carry,xor(t3,or(a,t6)))
| or(and(carry,not(xor(t3,or(a,t6)))),ll0) = xor(carry,xor(t3,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(carry,not(xor(t3,or(a,t6)))),and(not(carry),xor(t3,or(a,t6)))),xor(carry,xor(t3,or(a,t6)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_18275,plain,
( or(and(carry,not(xor(t3,or(a,t6)))),and(not(carry),xor(t3,or(a,t6)))) != xor(carry,xor(t3,or(a,t6)))
| or(and(carry,not(xor(t3,or(a,t6)))),ll0) = xor(carry,xor(t3,or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(not(carry),xor(t3,or(a,t6))),ll0) )],[refute_0_18273,refute_0_18274]) ).
cnf(refute_0_18276,plain,
or(and(carry,not(xor(t3,or(a,t6)))),ll0) = xor(carry,xor(t3,or(a,t6))),
inference(resolve,[$cnf( $equal(or(and(carry,not(xor(t3,or(a,t6)))),and(not(carry),xor(t3,or(a,t6)))),xor(carry,xor(t3,or(a,t6)))) )],[refute_0_18122,refute_0_18275]) ).
cnf(refute_0_18277,plain,
or(and(carry,not(xor(t3,or(a,t6)))),ll0) = and(carry,not(xor(t3,or(a,t6)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(carry,not(xor(t3,or(a,t6))))))]]) ).
cnf(refute_0_18278,plain,
( or(and(carry,not(xor(t3,or(a,t6)))),ll0) != and(carry,not(xor(t3,or(a,t6))))
| or(and(carry,not(xor(t3,or(a,t6)))),ll0) != xor(carry,xor(t3,or(a,t6)))
| and(carry,not(xor(t3,or(a,t6)))) = xor(carry,xor(t3,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(carry,not(xor(t3,or(a,t6)))),ll0),xor(carry,xor(t3,or(a,t6)))) ),[0],$fot(and(carry,not(xor(t3,or(a,t6)))))]]) ).
cnf(refute_0_18279,plain,
( or(and(carry,not(xor(t3,or(a,t6)))),ll0) != xor(carry,xor(t3,or(a,t6)))
| and(carry,not(xor(t3,or(a,t6)))) = xor(carry,xor(t3,or(a,t6))) ),
inference(resolve,[$cnf( $equal(or(and(carry,not(xor(t3,or(a,t6)))),ll0),and(carry,not(xor(t3,or(a,t6))))) )],[refute_0_18277,refute_0_18278]) ).
cnf(refute_0_18280,plain,
xor(carry,xor(t3,Z)) = xor(xor(carry,t3),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(carry)),bind(Y,$fot(t3))]]) ).
cnf(refute_0_18281,plain,
xor(b,xor(t1,X_342)) = xor(t3,X_342),
inference(subst,[],[refute_0_1233:[bind(X_335,$fot(X_342))]]) ).
cnf(refute_0_18282,plain,
xor(X_342,t1) = xor(t1,X_342),
inference(subst,[],[xor_commutative:[bind(X,$fot(X_342)),bind(Y,$fot(t1))]]) ).
cnf(refute_0_18283,plain,
( xor(X_342,t1) != xor(t1,X_342)
| xor(t1,X_342) = xor(X_342,t1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X_342,t1))),bind(Y0,$fot(xor(t1,X_342)))]]) ).
cnf(refute_0_18284,plain,
xor(t1,X_342) = xor(X_342,t1),
inference(resolve,[$cnf( $equal(xor(X_342,t1),xor(t1,X_342)) )],[refute_0_18282,refute_0_18283]) ).
cnf(refute_0_18285,plain,
( xor(b,xor(t1,X_342)) != xor(t3,X_342)
| xor(t1,X_342) != xor(X_342,t1)
| xor(b,xor(X_342,t1)) = xor(t3,X_342) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,xor(t1,X_342)),xor(t3,X_342)) ),[0,1],$fot(xor(X_342,t1))]]) ).
cnf(refute_0_18286,plain,
( xor(b,xor(t1,X_342)) != xor(t3,X_342)
| xor(b,xor(X_342,t1)) = xor(t3,X_342) ),
inference(resolve,[$cnf( $equal(xor(t1,X_342),xor(X_342,t1)) )],[refute_0_18284,refute_0_18285]) ).
cnf(refute_0_18287,plain,
xor(b,xor(X_342,t1)) = xor(t3,X_342),
inference(resolve,[$cnf( $equal(xor(b,xor(t1,X_342)),xor(t3,X_342)) )],[refute_0_18281,refute_0_18286]) ).
cnf(refute_0_18288,plain,
xor(b,xor(carry,t1)) = xor(t3,carry),
inference(subst,[],[refute_0_18287:[bind(X_342,$fot(carry))]]) ).
cnf(refute_0_18289,plain,
( xor(b,xor(carry,t1)) != xor(t3,carry)
| xor(carry,t1) != t5
| xor(b,t5) = xor(t3,carry) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,xor(carry,t1)),xor(t3,carry)) ),[0,1],$fot(t5)]]) ).
cnf(refute_0_18290,plain,
( xor(b,xor(carry,t1)) != xor(t3,carry)
| xor(b,t5) = xor(t3,carry) ),
inference(resolve,[$cnf( $equal(xor(carry,t1),t5) )],[refute_0_15434,refute_0_18289]) ).
cnf(refute_0_18291,plain,
xor(b,t5) = xor(t3,carry),
inference(resolve,[$cnf( $equal(xor(b,xor(carry,t1)),xor(t3,carry)) )],[refute_0_18288,refute_0_18290]) ).
cnf(refute_0_18292,plain,
xor(t3,carry) = xor(carry,t3),
inference(subst,[],[refute_0_1865:[bind(X_333,$fot(carry))]]) ).
cnf(refute_0_18293,plain,
( xor(b,t5) != xor(t3,carry)
| xor(t3,carry) != xor(carry,t3)
| xor(b,t5) = xor(carry,t3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(b,t5),xor(carry,t3)) ),[0],$fot(xor(t3,carry))]]) ).
cnf(refute_0_18294,plain,
( xor(b,t5) != xor(t3,carry)
| xor(b,t5) = xor(carry,t3) ),
inference(resolve,[$cnf( $equal(xor(t3,carry),xor(carry,t3)) )],[refute_0_18292,refute_0_18293]) ).
cnf(refute_0_18295,plain,
xor(b,t5) = xor(carry,t3),
inference(resolve,[$cnf( $equal(xor(b,t5),xor(t3,carry)) )],[refute_0_18291,refute_0_18294]) ).
cnf(refute_0_18296,plain,
( xor(b,t5) != xor(carry,t3)
| xor(carry,t3) = xor(b,t5) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(b,t5))),bind(Y0,$fot(xor(carry,t3)))]]) ).
cnf(refute_0_18297,plain,
xor(carry,t3) = xor(b,t5),
inference(resolve,[$cnf( $equal(xor(b,t5),xor(carry,t3)) )],[refute_0_18295,refute_0_18296]) ).
cnf(refute_0_18298,plain,
( xor(carry,t3) != xor(b,t5)
| xor(carry,xor(t3,Z)) != xor(xor(carry,t3),Z)
| xor(carry,xor(t3,Z)) = xor(xor(b,t5),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(t3,Z)),xor(xor(carry,t3),Z)) ),[1,0],$fot(xor(b,t5))]]) ).
cnf(refute_0_18299,plain,
( xor(carry,xor(t3,Z)) != xor(xor(carry,t3),Z)
| xor(carry,xor(t3,Z)) = xor(xor(b,t5),Z) ),
inference(resolve,[$cnf( $equal(xor(carry,t3),xor(b,t5)) )],[refute_0_18297,refute_0_18298]) ).
cnf(refute_0_18300,plain,
xor(carry,xor(t3,Z)) = xor(xor(b,t5),Z),
inference(resolve,[$cnf( $equal(xor(carry,xor(t3,Z)),xor(xor(carry,t3),Z)) )],[refute_0_18280,refute_0_18299]) ).
cnf(refute_0_18301,plain,
xor(xor(b,t5),Z) = xor(b,xor(t5,Z)),
inference(subst,[],[refute_0_526:[bind(X,$fot(b)),bind(Y,$fot(t5))]]) ).
cnf(refute_0_18302,plain,
( xor(carry,xor(t3,Z)) != xor(xor(b,t5),Z)
| xor(xor(b,t5),Z) != xor(b,xor(t5,Z))
| xor(carry,xor(t3,Z)) = xor(b,xor(t5,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(carry,xor(t3,Z)),xor(b,xor(t5,Z))) ),[0],$fot(xor(xor(b,t5),Z))]]) ).
cnf(refute_0_18303,plain,
( xor(carry,xor(t3,Z)) != xor(xor(b,t5),Z)
| xor(carry,xor(t3,Z)) = xor(b,xor(t5,Z)) ),
inference(resolve,[$cnf( $equal(xor(xor(b,t5),Z),xor(b,xor(t5,Z))) )],[refute_0_18301,refute_0_18302]) ).
cnf(refute_0_18304,plain,
xor(carry,xor(t3,Z)) = xor(b,xor(t5,Z)),
inference(resolve,[$cnf( $equal(xor(carry,xor(t3,Z)),xor(xor(b,t5),Z)) )],[refute_0_18300,refute_0_18303]) ).
cnf(refute_0_18305,plain,
xor(carry,xor(t3,or(a,t6))) = xor(b,xor(t5,or(a,t6))),
inference(subst,[],[refute_0_18304:[bind(Z,$fot(or(a,t6)))]]) ).
cnf(refute_0_18306,plain,
( and(carry,not(xor(t3,or(a,t6)))) != xor(carry,xor(t3,or(a,t6)))
| xor(carry,xor(t3,or(a,t6))) != xor(b,xor(t5,or(a,t6)))
| and(carry,not(xor(t3,or(a,t6)))) = xor(b,xor(t5,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(carry,not(xor(t3,or(a,t6)))),xor(b,xor(t5,or(a,t6)))) ),[0],$fot(xor(carry,xor(t3,or(a,t6))))]]) ).
cnf(refute_0_18307,plain,
( and(carry,not(xor(t3,or(a,t6)))) != xor(carry,xor(t3,or(a,t6)))
| and(carry,not(xor(t3,or(a,t6)))) = xor(b,xor(t5,or(a,t6))) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(t3,or(a,t6))),xor(b,xor(t5,or(a,t6)))) )],[refute_0_18305,refute_0_18306]) ).
cnf(refute_0_18308,plain,
( or(and(carry,not(xor(t3,or(a,t6)))),ll0) != xor(carry,xor(t3,or(a,t6)))
| and(carry,not(xor(t3,or(a,t6)))) = xor(b,xor(t5,or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(carry,not(xor(t3,or(a,t6)))),xor(carry,xor(t3,or(a,t6)))) )],[refute_0_18279,refute_0_18307]) ).
cnf(refute_0_18309,plain,
and(carry,not(xor(t3,or(a,t6)))) = xor(b,xor(t5,or(a,t6))),
inference(resolve,[$cnf( $equal(or(and(carry,not(xor(t3,or(a,t6)))),ll0),xor(carry,xor(t3,or(a,t6)))) )],[refute_0_18276,refute_0_18308]) ).
cnf(refute_0_18310,plain,
or(and(xor(b,t5),not(Y)),and(not(xor(b,t5)),Y)) = xor(xor(b,t5),Y),
inference(subst,[],[refute_0_9:[bind(X,$fot(xor(b,t5)))]]) ).
cnf(refute_0_18311,plain,
xor(a,xor(t1,X_341)) = xor(t2,X_341),
inference(subst,[],[refute_0_370:[bind(X_335,$fot(X_341))]]) ).
cnf(refute_0_18312,plain,
xor(X_341,t1) = xor(t1,X_341),
inference(subst,[],[xor_commutative:[bind(X,$fot(X_341)),bind(Y,$fot(t1))]]) ).
cnf(refute_0_18313,plain,
( xor(X_341,t1) != xor(t1,X_341)
| xor(t1,X_341) = xor(X_341,t1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X_341,t1))),bind(Y0,$fot(xor(t1,X_341)))]]) ).
cnf(refute_0_18314,plain,
xor(t1,X_341) = xor(X_341,t1),
inference(resolve,[$cnf( $equal(xor(X_341,t1),xor(t1,X_341)) )],[refute_0_18312,refute_0_18313]) ).
cnf(refute_0_18315,plain,
( xor(a,xor(t1,X_341)) != xor(t2,X_341)
| xor(t1,X_341) != xor(X_341,t1)
| xor(a,xor(X_341,t1)) = xor(t2,X_341) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t1,X_341)),xor(t2,X_341)) ),[0,1],$fot(xor(X_341,t1))]]) ).
cnf(refute_0_18316,plain,
( xor(a,xor(t1,X_341)) != xor(t2,X_341)
| xor(a,xor(X_341,t1)) = xor(t2,X_341) ),
inference(resolve,[$cnf( $equal(xor(t1,X_341),xor(X_341,t1)) )],[refute_0_18314,refute_0_18315]) ).
cnf(refute_0_18317,plain,
xor(a,xor(X_341,t1)) = xor(t2,X_341),
inference(resolve,[$cnf( $equal(xor(a,xor(t1,X_341)),xor(t2,X_341)) )],[refute_0_18311,refute_0_18316]) ).
cnf(refute_0_18318,plain,
xor(a,xor(and(t1,t6),t1)) = xor(t2,and(t1,t6)),
inference(subst,[],[refute_0_18317:[bind(X_341,$fot(and(t1,t6)))]]) ).
cnf(refute_0_18319,plain,
xor(a,xor(t1,and(t1,t6))) = xor(t2,and(t1,t6)),
inference(subst,[],[refute_0_370:[bind(X_335,$fot(and(t1,t6)))]]) ).
cnf(refute_0_18320,plain,
xor(t1,xor(t5,or(a,t4))) = xor(carry,or(a,t4)),
inference(subst,[],[refute_0_1349:[bind(X_335,$fot(or(a,t4)))]]) ).
cnf(refute_0_18321,plain,
( xor(t1,xor(t5,or(a,t4))) != xor(carry,or(a,t4))
| xor(t5,or(a,t4)) != and(t1,t6)
| xor(t1,and(t1,t6)) = xor(carry,or(a,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,xor(t5,or(a,t4))),xor(carry,or(a,t4))) ),[0,1],$fot(and(t1,t6))]]) ).
cnf(refute_0_18322,plain,
( xor(t1,xor(t5,or(a,t4))) != xor(carry,or(a,t4))
| xor(t1,and(t1,t6)) = xor(carry,or(a,t4)) ),
inference(resolve,[$cnf( $equal(xor(t5,or(a,t4)),and(t1,t6)) )],[refute_0_10695,refute_0_18321]) ).
cnf(refute_0_18323,plain,
xor(t1,and(t1,t6)) = xor(carry,or(a,t4)),
inference(resolve,[$cnf( $equal(xor(t1,xor(t5,or(a,t4))),xor(carry,or(a,t4))) )],[refute_0_18320,refute_0_18322]) ).
cnf(refute_0_18324,plain,
xor(carry,or(carry,t4)) = xor(carry,or(carry,t4)),
introduced(tautology,[refl,[$fot(xor(carry,or(carry,t4)))]]) ).
cnf(refute_0_18325,plain,
( or(carry,t4) != or(b,t4)
| xor(carry,or(carry,t4)) != xor(carry,or(carry,t4))
| xor(carry,or(carry,t4)) = xor(carry,or(b,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,or(carry,t4)),xor(carry,or(carry,t4))) ),[1,1],$fot(or(b,t4))]]) ).
cnf(refute_0_18326,plain,
( or(carry,t4) != or(b,t4)
| xor(carry,or(carry,t4)) = xor(carry,or(b,t4)) ),
inference(resolve,[$cnf( $equal(xor(carry,or(carry,t4)),xor(carry,or(carry,t4))) )],[refute_0_18324,refute_0_18325]) ).
cnf(refute_0_18327,plain,
xor(carry,or(carry,t4)) = xor(carry,or(b,t4)),
inference(resolve,[$cnf( $equal(or(carry,t4),or(b,t4)) )],[refute_0_2127,refute_0_18326]) ).
cnf(refute_0_18328,plain,
( not(t6) != xor(carry,or(carry,t4))
| xor(carry,or(carry,t4)) != xor(carry,or(b,t4))
| not(t6) = xor(carry,or(b,t4)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(t6),xor(carry,or(b,t4))) ),[0],$fot(xor(carry,or(carry,t4)))]]) ).
cnf(refute_0_18329,plain,
( not(t6) != xor(carry,or(carry,t4))
| not(t6) = xor(carry,or(b,t4)) ),
inference(resolve,[$cnf( $equal(xor(carry,or(carry,t4)),xor(carry,or(b,t4))) )],[refute_0_18327,refute_0_18328]) ).
cnf(refute_0_18330,plain,
not(t6) = xor(carry,or(b,t4)),
inference(resolve,[$cnf( $equal(not(t6),xor(carry,or(carry,t4))) )],[refute_0_10600,refute_0_18329]) ).
cnf(refute_0_18331,plain,
xor(carry,or(b,t4)) = xor(carry,or(b,t4)),
introduced(tautology,[refl,[$fot(xor(carry,or(b,t4)))]]) ).
cnf(refute_0_18332,plain,
( or(b,t4) != or(a,t4)
| xor(carry,or(b,t4)) != xor(carry,or(b,t4))
| xor(carry,or(b,t4)) = xor(carry,or(a,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,or(b,t4)),xor(carry,or(b,t4))) ),[1,1],$fot(or(a,t4))]]) ).
cnf(refute_0_18333,plain,
( or(b,t4) != or(a,t4)
| xor(carry,or(b,t4)) = xor(carry,or(a,t4)) ),
inference(resolve,[$cnf( $equal(xor(carry,or(b,t4)),xor(carry,or(b,t4))) )],[refute_0_18331,refute_0_18332]) ).
cnf(refute_0_18334,plain,
xor(carry,or(b,t4)) = xor(carry,or(a,t4)),
inference(resolve,[$cnf( $equal(or(b,t4),or(a,t4)) )],[refute_0_3730,refute_0_18333]) ).
cnf(refute_0_18335,plain,
( not(t6) != xor(carry,or(b,t4))
| xor(carry,or(b,t4)) != xor(carry,or(a,t4))
| not(t6) = xor(carry,or(a,t4)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(t6),xor(carry,or(a,t4))) ),[0],$fot(xor(carry,or(b,t4)))]]) ).
cnf(refute_0_18336,plain,
( not(t6) != xor(carry,or(b,t4))
| not(t6) = xor(carry,or(a,t4)) ),
inference(resolve,[$cnf( $equal(xor(carry,or(b,t4)),xor(carry,or(a,t4))) )],[refute_0_18334,refute_0_18335]) ).
cnf(refute_0_18337,plain,
not(t6) = xor(carry,or(a,t4)),
inference(resolve,[$cnf( $equal(not(t6),xor(carry,or(b,t4))) )],[refute_0_18330,refute_0_18336]) ).
cnf(refute_0_18338,plain,
( not(t6) != xor(carry,or(a,t4))
| xor(carry,or(a,t4)) = not(t6) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t6))),bind(Y0,$fot(xor(carry,or(a,t4))))]]) ).
cnf(refute_0_18339,plain,
xor(carry,or(a,t4)) = not(t6),
inference(resolve,[$cnf( $equal(not(t6),xor(carry,or(a,t4))) )],[refute_0_18337,refute_0_18338]) ).
cnf(refute_0_18340,plain,
( xor(carry,or(a,t4)) != not(t6)
| xor(t1,and(t1,t6)) != xor(carry,or(a,t4))
| xor(t1,and(t1,t6)) = not(t6) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,and(t1,t6)),xor(carry,or(a,t4))) ),[1],$fot(not(t6))]]) ).
cnf(refute_0_18341,plain,
( xor(t1,and(t1,t6)) != xor(carry,or(a,t4))
| xor(t1,and(t1,t6)) = not(t6) ),
inference(resolve,[$cnf( $equal(xor(carry,or(a,t4)),not(t6)) )],[refute_0_18339,refute_0_18340]) ).
cnf(refute_0_18342,plain,
xor(t1,and(t1,t6)) = not(t6),
inference(resolve,[$cnf( $equal(xor(t1,and(t1,t6)),xor(carry,or(a,t4))) )],[refute_0_18323,refute_0_18341]) ).
cnf(refute_0_18343,plain,
( xor(a,xor(t1,and(t1,t6))) != xor(t2,and(t1,t6))
| xor(t1,and(t1,t6)) != not(t6)
| xor(a,not(t6)) = xor(t2,and(t1,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t1,and(t1,t6))),xor(t2,and(t1,t6))) ),[0,1],$fot(not(t6))]]) ).
cnf(refute_0_18344,plain,
( xor(a,xor(t1,and(t1,t6))) != xor(t2,and(t1,t6))
| xor(a,not(t6)) = xor(t2,and(t1,t6)) ),
inference(resolve,[$cnf( $equal(xor(t1,and(t1,t6)),not(t6)) )],[refute_0_18342,refute_0_18343]) ).
cnf(refute_0_18345,plain,
xor(a,not(t6)) = xor(t2,and(t1,t6)),
inference(resolve,[$cnf( $equal(xor(a,xor(t1,and(t1,t6))),xor(t2,and(t1,t6))) )],[refute_0_18319,refute_0_18344]) ).
cnf(refute_0_18346,plain,
xor(a,not(t6)) = not(xor(a,t6)),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(a)),bind(X_334,$fot(t6))]]) ).
cnf(refute_0_18347,plain,
( xor(a,not(t6)) != not(xor(a,t6))
| xor(a,not(t6)) != xor(t2,and(t1,t6))
| not(xor(a,t6)) = xor(t2,and(t1,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,not(t6)),xor(t2,and(t1,t6))) ),[0],$fot(not(xor(a,t6)))]]) ).
cnf(refute_0_18348,plain,
( xor(a,not(t6)) != xor(t2,and(t1,t6))
| not(xor(a,t6)) = xor(t2,and(t1,t6)) ),
inference(resolve,[$cnf( $equal(xor(a,not(t6)),not(xor(a,t6))) )],[refute_0_18346,refute_0_18347]) ).
cnf(refute_0_18349,plain,
not(xor(a,t6)) = xor(t2,and(t1,t6)),
inference(resolve,[$cnf( $equal(xor(a,not(t6)),xor(t2,and(t1,t6))) )],[refute_0_18345,refute_0_18348]) ).
cnf(refute_0_18350,plain,
( not(xor(a,t6)) != xor(t2,and(t1,t6))
| xor(t2,and(t1,t6)) = not(xor(a,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(xor(a,t6)))),bind(Y0,$fot(xor(t2,and(t1,t6))))]]) ).
cnf(refute_0_18351,plain,
xor(t2,and(t1,t6)) = not(xor(a,t6)),
inference(resolve,[$cnf( $equal(not(xor(a,t6)),xor(t2,and(t1,t6))) )],[refute_0_18349,refute_0_18350]) ).
cnf(refute_0_18352,plain,
( xor(a,xor(and(t1,t6),t1)) != xor(t2,and(t1,t6))
| xor(t2,and(t1,t6)) != not(xor(a,t6))
| xor(a,xor(and(t1,t6),t1)) = not(xor(a,t6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(a,xor(and(t1,t6),t1)),not(xor(a,t6))) ),[0],$fot(xor(t2,and(t1,t6)))]]) ).
cnf(refute_0_18353,plain,
( xor(a,xor(and(t1,t6),t1)) != xor(t2,and(t1,t6))
| xor(a,xor(and(t1,t6),t1)) = not(xor(a,t6)) ),
inference(resolve,[$cnf( $equal(xor(t2,and(t1,t6)),not(xor(a,t6))) )],[refute_0_18351,refute_0_18352]) ).
cnf(refute_0_18354,plain,
xor(a,xor(and(t1,t6),t1)) = not(xor(a,t6)),
inference(resolve,[$cnf( $equal(xor(a,xor(and(t1,t6),t1)),xor(t2,and(t1,t6))) )],[refute_0_18318,refute_0_18353]) ).
cnf(refute_0_18355,plain,
( xor(carry,t3) != xor(b,t5)
| xor(t3,carry) != xor(carry,t3)
| xor(t3,carry) = xor(b,t5) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t3,carry))),bind(Y0,$fot(xor(carry,t3))),bind(Z0,$fot(xor(b,t5)))]]) ).
cnf(refute_0_18356,plain,
( xor(carry,t3) != xor(b,t5)
| xor(t3,carry) = xor(b,t5) ),
inference(resolve,[$cnf( $equal(xor(t3,carry),xor(carry,t3)) )],[refute_0_18292,refute_0_18355]) ).
cnf(refute_0_18357,plain,
xor(t3,carry) = xor(b,t5),
inference(resolve,[$cnf( $equal(xor(carry,t3),xor(b,t5)) )],[refute_0_18297,refute_0_18356]) ).
cnf(refute_0_18358,plain,
( xor(b,xor(carry,t1)) != xor(t3,carry)
| xor(t3,carry) != xor(b,t5)
| xor(b,xor(carry,t1)) = xor(b,t5) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(b,xor(carry,t1)))),bind(Y0,$fot(xor(t3,carry))),bind(Z0,$fot(xor(b,t5)))]]) ).
cnf(refute_0_18359,plain,
( xor(t3,carry) != xor(b,t5)
| xor(b,xor(carry,t1)) = xor(b,t5) ),
inference(resolve,[$cnf( $equal(xor(b,xor(carry,t1)),xor(t3,carry)) )],[refute_0_18288,refute_0_18358]) ).
cnf(refute_0_18360,plain,
xor(b,xor(carry,t1)) = xor(b,t5),
inference(resolve,[$cnf( $equal(xor(t3,carry),xor(b,t5)) )],[refute_0_18357,refute_0_18359]) ).
cnf(refute_0_18361,plain,
not(xor(b,xor(carry,t1))) = not(xor(b,xor(carry,t1))),
introduced(tautology,[refl,[$fot(not(xor(b,xor(carry,t1))))]]) ).
cnf(refute_0_18362,plain,
( not(xor(b,xor(carry,t1))) != not(xor(b,xor(carry,t1)))
| xor(b,xor(carry,t1)) != xor(b,t5)
| not(xor(b,xor(carry,t1))) = not(xor(b,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(b,xor(carry,t1))),not(xor(b,xor(carry,t1)))) ),[1,0],$fot(xor(b,t5))]]) ).
cnf(refute_0_18363,plain,
( xor(b,xor(carry,t1)) != xor(b,t5)
| not(xor(b,xor(carry,t1))) = not(xor(b,t5)) ),
inference(resolve,[$cnf( $equal(not(xor(b,xor(carry,t1))),not(xor(b,xor(carry,t1)))) )],[refute_0_18361,refute_0_18362]) ).
cnf(refute_0_18364,plain,
not(xor(b,xor(carry,t1))) = not(xor(b,t5)),
inference(resolve,[$cnf( $equal(xor(b,xor(carry,t1)),xor(b,t5)) )],[refute_0_18360,refute_0_18363]) ).
cnf(refute_0_18365,plain,
xor(a,xor(and(t1,t6),Z)) = xor(xor(a,and(t1,t6)),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(a)),bind(Y,$fot(and(t1,t6)))]]) ).
cnf(refute_0_18366,plain,
not(xor(a,xor(carry,t4))) = xor(a,not(xor(carry,t4))),
inference(subst,[],[refute_0_1137:[bind(X_333,$fot(a)),bind(X_334,$fot(xor(carry,t4)))]]) ).
cnf(refute_0_18367,plain,
( xor(a,xor(carry,t4)) != xor(t2,t6)
| xor(t2,t6) != xor(b,carry)
| xor(a,xor(carry,t4)) = xor(b,carry) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(a,xor(carry,t4)),xor(b,carry)) ),[0],$fot(xor(t2,t6))]]) ).
cnf(refute_0_18368,plain,
( xor(a,xor(carry,t4)) != xor(t2,t6)
| xor(a,xor(carry,t4)) = xor(b,carry) ),
inference(resolve,[$cnf( $equal(xor(t2,t6),xor(b,carry)) )],[refute_0_16932,refute_0_18367]) ).
cnf(refute_0_18369,plain,
xor(a,xor(carry,t4)) = xor(b,carry),
inference(resolve,[$cnf( $equal(xor(a,xor(carry,t4)),xor(t2,t6)) )],[refute_0_16849,refute_0_18368]) ).
cnf(refute_0_18370,plain,
( not(xor(a,xor(carry,t4))) != xor(a,not(xor(carry,t4)))
| xor(a,xor(carry,t4)) != xor(b,carry)
| not(xor(b,carry)) = xor(a,not(xor(carry,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(a,xor(carry,t4))),xor(a,not(xor(carry,t4)))) ),[0,0],$fot(xor(b,carry))]]) ).
cnf(refute_0_18371,plain,
( not(xor(a,xor(carry,t4))) != xor(a,not(xor(carry,t4)))
| not(xor(b,carry)) = xor(a,not(xor(carry,t4))) ),
inference(resolve,[$cnf( $equal(xor(a,xor(carry,t4)),xor(b,carry)) )],[refute_0_18369,refute_0_18370]) ).
cnf(refute_0_18372,plain,
not(xor(b,carry)) = xor(a,not(xor(carry,t4))),
inference(resolve,[$cnf( $equal(not(xor(a,xor(carry,t4))),xor(a,not(xor(carry,t4)))) )],[refute_0_18366,refute_0_18371]) ).
cnf(refute_0_18373,plain,
not(xor(X_333,and(t5,or(a,b)))) = xor(X_333,not(and(t5,or(a,b)))),
inference(subst,[],[refute_0_1137:[bind(X_334,$fot(and(t5,or(a,b))))]]) ).
cnf(refute_0_18374,plain,
( not(and(t5,or(a,b))) != and(t1,t6)
| not(xor(X_333,and(t5,or(a,b)))) != xor(X_333,not(and(t5,or(a,b))))
| not(xor(X_333,and(t5,or(a,b)))) = xor(X_333,and(t1,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(X_333,and(t5,or(a,b)))),xor(X_333,not(and(t5,or(a,b))))) ),[1,1],$fot(and(t1,t6))]]) ).
cnf(refute_0_18375,plain,
( not(xor(X_333,and(t5,or(a,b)))) != xor(X_333,not(and(t5,or(a,b))))
| not(xor(X_333,and(t5,or(a,b)))) = xor(X_333,and(t1,t6)) ),
inference(resolve,[$cnf( $equal(not(and(t5,or(a,b))),and(t1,t6)) )],[refute_0_17305,refute_0_18374]) ).
cnf(refute_0_18376,plain,
not(xor(X_333,and(t5,or(a,b)))) = xor(X_333,and(t1,t6)),
inference(resolve,[$cnf( $equal(not(xor(X_333,and(t5,or(a,b)))),xor(X_333,not(and(t5,or(a,b))))) )],[refute_0_18373,refute_0_18375]) ).
cnf(refute_0_18377,plain,
or(and(X,not(and(t5,or(a,b)))),and(not(X),and(t5,or(a,b)))) = xor(X,and(t5,or(a,b))),
inference(subst,[],[refute_0_9:[bind(Y,$fot(and(t5,or(a,b))))]]) ).
cnf(refute_0_18378,plain,
( not(and(t5,or(a,b))) != and(t1,t6)
| or(and(X,not(and(t5,or(a,b)))),and(not(X),and(t5,or(a,b)))) != xor(X,and(t5,or(a,b)))
| or(and(X,and(t1,t6)),and(not(X),and(t5,or(a,b)))) = xor(X,and(t5,or(a,b))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X,not(and(t5,or(a,b)))),and(not(X),and(t5,or(a,b)))),xor(X,and(t5,or(a,b)))) ),[0,0,1],$fot(and(t1,t6))]]) ).
cnf(refute_0_18379,plain,
( or(and(X,not(and(t5,or(a,b)))),and(not(X),and(t5,or(a,b)))) != xor(X,and(t5,or(a,b)))
| or(and(X,and(t1,t6)),and(not(X),and(t5,or(a,b)))) = xor(X,and(t5,or(a,b))) ),
inference(resolve,[$cnf( $equal(not(and(t5,or(a,b))),and(t1,t6)) )],[refute_0_17305,refute_0_18378]) ).
cnf(refute_0_18380,plain,
or(and(X,and(t1,t6)),and(not(X),and(t5,or(a,b)))) = xor(X,and(t5,or(a,b))),
inference(resolve,[$cnf( $equal(or(and(X,not(and(t5,or(a,b)))),and(not(X),and(t5,or(a,b)))),xor(X,and(t5,or(a,b)))) )],[refute_0_18377,refute_0_18379]) ).
cnf(refute_0_18381,plain,
not(xor(X,and(t1,t6))) = xor(X,xor(carry,t4)),
inference(subst,[],[refute_0_10857:[bind(X_377,$fot(X))]]) ).
cnf(refute_0_18382,plain,
or(and(X,and(t1,t6)),not(or(X,and(t1,t6)))) = not(xor(X,and(t1,t6))),
inference(subst,[],[refute_0_3631:[bind(X_64,$fot(and(t1,t6)))]]) ).
cnf(refute_0_18383,plain,
( not(xor(X,and(t1,t6))) != xor(X,xor(carry,t4))
| or(and(X,and(t1,t6)),not(or(X,and(t1,t6)))) != not(xor(X,and(t1,t6)))
| or(and(X,and(t1,t6)),not(or(X,and(t1,t6)))) = xor(X,xor(carry,t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(X,and(t1,t6)),not(or(X,and(t1,t6)))))),bind(Y0,$fot(not(xor(X,and(t1,t6))))),bind(Z0,$fot(xor(X,xor(carry,t4))))]]) ).
cnf(refute_0_18384,plain,
( not(xor(X,and(t1,t6))) != xor(X,xor(carry,t4))
| or(and(X,and(t1,t6)),not(or(X,and(t1,t6)))) = xor(X,xor(carry,t4)) ),
inference(resolve,[$cnf( $equal(or(and(X,and(t1,t6)),not(or(X,and(t1,t6)))),not(xor(X,and(t1,t6)))) )],[refute_0_18382,refute_0_18383]) ).
cnf(refute_0_18385,plain,
or(and(X,and(t1,t6)),not(or(X,and(t1,t6)))) = xor(X,xor(carry,t4)),
inference(resolve,[$cnf( $equal(not(xor(X,and(t1,t6))),xor(X,xor(carry,t4))) )],[refute_0_18381,refute_0_18384]) ).
cnf(refute_0_18386,plain,
not(or(X_25,not(and(t5,or(a,b))))) = and(not(X_25),and(t5,or(a,b))),
inference(subst,[],[refute_0_801:[bind(X,$fot(and(t5,or(a,b))))]]) ).
cnf(refute_0_18387,plain,
( not(and(t5,or(a,b))) != and(t1,t6)
| not(or(X_25,not(and(t5,or(a,b))))) != and(not(X_25),and(t5,or(a,b)))
| not(or(X_25,and(t1,t6))) = and(not(X_25),and(t5,or(a,b))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X_25,not(and(t5,or(a,b))))),and(not(X_25),and(t5,or(a,b)))) ),[0,0,1],$fot(and(t1,t6))]]) ).
cnf(refute_0_18388,plain,
( not(or(X_25,not(and(t5,or(a,b))))) != and(not(X_25),and(t5,or(a,b)))
| not(or(X_25,and(t1,t6))) = and(not(X_25),and(t5,or(a,b))) ),
inference(resolve,[$cnf( $equal(not(and(t5,or(a,b))),and(t1,t6)) )],[refute_0_17305,refute_0_18387]) ).
cnf(refute_0_18389,plain,
not(or(X_25,and(t1,t6))) = and(not(X_25),and(t5,or(a,b))),
inference(resolve,[$cnf( $equal(not(or(X_25,not(and(t5,or(a,b))))),and(not(X_25),and(t5,or(a,b)))) )],[refute_0_18386,refute_0_18388]) ).
cnf(refute_0_18390,plain,
and(not(X_25),or(a,t4)) = and(not(X_25),or(a,t4)),
introduced(tautology,[refl,[$fot(and(not(X_25),or(a,t4)))]]) ).
cnf(refute_0_18391,plain,
( and(not(X_25),or(a,t4)) != and(not(X_25),or(a,t4))
| or(a,t4) != or(a,b)
| and(not(X_25),or(a,t4)) = and(not(X_25),or(a,b)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(X_25),or(a,t4)),and(not(X_25),or(a,t4))) ),[1,1],$fot(or(a,b))]]) ).
cnf(refute_0_18392,plain,
( or(a,t4) != or(a,b)
| and(not(X_25),or(a,t4)) = and(not(X_25),or(a,b)) ),
inference(resolve,[$cnf( $equal(and(not(X_25),or(a,t4)),and(not(X_25),or(a,t4))) )],[refute_0_18390,refute_0_18391]) ).
cnf(refute_0_18393,plain,
and(not(X_25),or(a,t4)) = and(not(X_25),or(a,b)),
inference(resolve,[$cnf( $equal(or(a,t4),or(a,b)) )],[refute_0_3071,refute_0_18392]) ).
cnf(refute_0_18394,plain,
( and(not(X_25),or(a,t4)) != and(not(X_25),or(a,b))
| not(or(X_25,xor(a,t3))) != and(not(X_25),or(a,t4))
| not(or(X_25,xor(a,t3))) = and(not(X_25),or(a,b)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X_25,xor(a,t3))),and(not(X_25),or(a,t4))) ),[1],$fot(and(not(X_25),or(a,b)))]]) ).
cnf(refute_0_18395,plain,
( not(or(X_25,xor(a,t3))) != and(not(X_25),or(a,t4))
| not(or(X_25,xor(a,t3))) = and(not(X_25),or(a,b)) ),
inference(resolve,[$cnf( $equal(and(not(X_25),or(a,t4)),and(not(X_25),or(a,b))) )],[refute_0_18393,refute_0_18394]) ).
cnf(refute_0_18396,plain,
not(or(X_25,xor(a,t3))) = and(not(X_25),or(a,b)),
inference(resolve,[$cnf( $equal(not(or(X_25,xor(a,t3))),and(not(X_25),or(a,t4))) )],[refute_0_9883,refute_0_18395]) ).
cnf(refute_0_18397,plain,
( not(or(X_25,xor(a,t3))) != and(not(X_25),or(a,b))
| and(not(X_25),or(a,b)) = not(or(X_25,xor(a,t3))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X_25,xor(a,t3))))),bind(Y0,$fot(and(not(X_25),or(a,b))))]]) ).
cnf(refute_0_18398,plain,
and(not(X_25),or(a,b)) = not(or(X_25,xor(a,t3))),
inference(resolve,[$cnf( $equal(not(or(X_25,xor(a,t3))),and(not(X_25),or(a,b))) )],[refute_0_18396,refute_0_18397]) ).
cnf(refute_0_18399,plain,
and(t5,and(not(X_25),or(a,b))) = and(t5,and(not(X_25),or(a,b))),
introduced(tautology,[refl,[$fot(and(t5,and(not(X_25),or(a,b))))]]) ).
cnf(refute_0_18400,plain,
( and(not(X_25),or(a,b)) != not(or(X_25,xor(a,t3)))
| and(t5,and(not(X_25),or(a,b))) != and(t5,and(not(X_25),or(a,b)))
| and(t5,and(not(X_25),or(a,b))) = and(t5,not(or(X_25,xor(a,t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,and(not(X_25),or(a,b))),and(t5,and(not(X_25),or(a,b)))) ),[1,1],$fot(not(or(X_25,xor(a,t3))))]]) ).
cnf(refute_0_18401,plain,
( and(not(X_25),or(a,b)) != not(or(X_25,xor(a,t3)))
| and(t5,and(not(X_25),or(a,b))) = and(t5,not(or(X_25,xor(a,t3)))) ),
inference(resolve,[$cnf( $equal(and(t5,and(not(X_25),or(a,b))),and(t5,and(not(X_25),or(a,b)))) )],[refute_0_18399,refute_0_18400]) ).
cnf(refute_0_18402,plain,
and(t5,and(not(X_25),or(a,b))) = and(t5,not(or(X_25,xor(a,t3)))),
inference(resolve,[$cnf( $equal(and(not(X_25),or(a,b)),not(or(X_25,xor(a,t3)))) )],[refute_0_18398,refute_0_18401]) ).
cnf(refute_0_18403,plain,
and(not(X_25),and(t5,or(a,b))) = and(t5,and(not(X_25),or(a,b))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(X_25))),bind(X_221,$fot(t5)),bind(X_222,$fot(or(a,b)))]]) ).
cnf(refute_0_18404,plain,
( and(not(X_25),and(t5,or(a,b))) != and(t5,and(not(X_25),or(a,b)))
| and(t5,and(not(X_25),or(a,b))) != and(t5,not(or(X_25,xor(a,t3))))
| and(not(X_25),and(t5,or(a,b))) = and(t5,not(or(X_25,xor(a,t3)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(X_25),and(t5,or(a,b))))),bind(Y0,$fot(and(t5,and(not(X_25),or(a,b))))),bind(Z0,$fot(and(t5,not(or(X_25,xor(a,t3))))))]]) ).
cnf(refute_0_18405,plain,
( and(t5,and(not(X_25),or(a,b))) != and(t5,not(or(X_25,xor(a,t3))))
| and(not(X_25),and(t5,or(a,b))) = and(t5,not(or(X_25,xor(a,t3)))) ),
inference(resolve,[$cnf( $equal(and(not(X_25),and(t5,or(a,b))),and(t5,and(not(X_25),or(a,b)))) )],[refute_0_18403,refute_0_18404]) ).
cnf(refute_0_18406,plain,
and(not(X_25),and(t5,or(a,b))) = and(t5,not(or(X_25,xor(a,t3)))),
inference(resolve,[$cnf( $equal(and(t5,and(not(X_25),or(a,b))),and(t5,not(or(X_25,xor(a,t3))))) )],[refute_0_18402,refute_0_18405]) ).
cnf(refute_0_18407,plain,
( and(not(X_25),and(t5,or(a,b))) != and(t5,not(or(X_25,xor(a,t3))))
| not(or(X_25,and(t1,t6))) != and(not(X_25),and(t5,or(a,b)))
| not(or(X_25,and(t1,t6))) = and(t5,not(or(X_25,xor(a,t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X_25,and(t1,t6))),and(not(X_25),and(t5,or(a,b)))) ),[1],$fot(and(t5,not(or(X_25,xor(a,t3)))))]]) ).
cnf(refute_0_18408,plain,
( not(or(X_25,and(t1,t6))) != and(not(X_25),and(t5,or(a,b)))
| not(or(X_25,and(t1,t6))) = and(t5,not(or(X_25,xor(a,t3)))) ),
inference(resolve,[$cnf( $equal(and(not(X_25),and(t5,or(a,b))),and(t5,not(or(X_25,xor(a,t3))))) )],[refute_0_18406,refute_0_18407]) ).
cnf(refute_0_18409,plain,
not(or(X_25,and(t1,t6))) = and(t5,not(or(X_25,xor(a,t3)))),
inference(resolve,[$cnf( $equal(not(or(X_25,and(t1,t6))),and(not(X_25),and(t5,or(a,b)))) )],[refute_0_18389,refute_0_18408]) ).
cnf(refute_0_18410,plain,
( not(or(X_25,and(t1,t6))) != and(t5,not(or(X_25,xor(a,t3))))
| and(t5,not(or(X_25,xor(a,t3)))) = not(or(X_25,and(t1,t6))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X_25,and(t1,t6))))),bind(Y0,$fot(and(t5,not(or(X_25,xor(a,t3))))))]]) ).
cnf(refute_0_18411,plain,
and(t5,not(or(X_25,xor(a,t3)))) = not(or(X_25,and(t1,t6))),
inference(resolve,[$cnf( $equal(not(or(X_25,and(t1,t6))),and(t5,not(or(X_25,xor(a,t3))))) )],[refute_0_18409,refute_0_18410]) ).
cnf(refute_0_18412,plain,
and(t5,not(or(X,xor(a,t3)))) = not(or(X,and(t1,t6))),
inference(subst,[],[refute_0_18411:[bind(X_25,$fot(X))]]) ).
cnf(refute_0_18413,plain,
and(not(X),or(a,b)) = not(or(X,xor(a,t3))),
inference(subst,[],[refute_0_18398:[bind(X_25,$fot(X))]]) ).
cnf(refute_0_18414,plain,
and(t5,and(not(X),or(a,b))) = and(t5,and(not(X),or(a,b))),
introduced(tautology,[refl,[$fot(and(t5,and(not(X),or(a,b))))]]) ).
cnf(refute_0_18415,plain,
( and(not(X),or(a,b)) != not(or(X,xor(a,t3)))
| and(t5,and(not(X),or(a,b))) != and(t5,and(not(X),or(a,b)))
| and(t5,and(not(X),or(a,b))) = and(t5,not(or(X,xor(a,t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,and(not(X),or(a,b))),and(t5,and(not(X),or(a,b)))) ),[1,1],$fot(not(or(X,xor(a,t3))))]]) ).
cnf(refute_0_18416,plain,
( and(not(X),or(a,b)) != not(or(X,xor(a,t3)))
| and(t5,and(not(X),or(a,b))) = and(t5,not(or(X,xor(a,t3)))) ),
inference(resolve,[$cnf( $equal(and(t5,and(not(X),or(a,b))),and(t5,and(not(X),or(a,b)))) )],[refute_0_18414,refute_0_18415]) ).
cnf(refute_0_18417,plain,
and(t5,and(not(X),or(a,b))) = and(t5,not(or(X,xor(a,t3)))),
inference(resolve,[$cnf( $equal(and(not(X),or(a,b)),not(or(X,xor(a,t3)))) )],[refute_0_18413,refute_0_18416]) ).
cnf(refute_0_18418,plain,
( and(t5,and(not(X),or(a,b))) != and(t5,not(or(X,xor(a,t3))))
| and(t5,not(or(X,xor(a,t3)))) != not(or(X,and(t1,t6)))
| and(t5,and(not(X),or(a,b))) = not(or(X,and(t1,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t5,and(not(X),or(a,b))))),bind(Y0,$fot(and(t5,not(or(X,xor(a,t3)))))),bind(Z0,$fot(not(or(X,and(t1,t6)))))]]) ).
cnf(refute_0_18419,plain,
( and(t5,not(or(X,xor(a,t3)))) != not(or(X,and(t1,t6)))
| and(t5,and(not(X),or(a,b))) = not(or(X,and(t1,t6))) ),
inference(resolve,[$cnf( $equal(and(t5,and(not(X),or(a,b))),and(t5,not(or(X,xor(a,t3))))) )],[refute_0_18417,refute_0_18418]) ).
cnf(refute_0_18420,plain,
and(t5,and(not(X),or(a,b))) = not(or(X,and(t1,t6))),
inference(resolve,[$cnf( $equal(and(t5,not(or(X,xor(a,t3)))),not(or(X,and(t1,t6)))) )],[refute_0_18412,refute_0_18419]) ).
cnf(refute_0_18421,plain,
and(not(X),and(t5,or(a,b))) = and(t5,and(not(X),or(a,b))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(X))),bind(X_221,$fot(t5)),bind(X_222,$fot(or(a,b)))]]) ).
cnf(refute_0_18422,plain,
( and(not(X),and(t5,or(a,b))) != and(t5,and(not(X),or(a,b)))
| and(t5,and(not(X),or(a,b))) != not(or(X,and(t1,t6)))
| and(not(X),and(t5,or(a,b))) = not(or(X,and(t1,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(X),and(t5,or(a,b))))),bind(Y0,$fot(and(t5,and(not(X),or(a,b))))),bind(Z0,$fot(not(or(X,and(t1,t6)))))]]) ).
cnf(refute_0_18423,plain,
( and(t5,and(not(X),or(a,b))) != not(or(X,and(t1,t6)))
| and(not(X),and(t5,or(a,b))) = not(or(X,and(t1,t6))) ),
inference(resolve,[$cnf( $equal(and(not(X),and(t5,or(a,b))),and(t5,and(not(X),or(a,b)))) )],[refute_0_18421,refute_0_18422]) ).
cnf(refute_0_18424,plain,
and(not(X),and(t5,or(a,b))) = not(or(X,and(t1,t6))),
inference(resolve,[$cnf( $equal(and(t5,and(not(X),or(a,b))),not(or(X,and(t1,t6)))) )],[refute_0_18420,refute_0_18423]) ).
cnf(refute_0_18425,plain,
or(and(X,and(t1,t6)),and(not(X),and(t5,or(a,b)))) = or(and(X,and(t1,t6)),and(not(X),and(t5,or(a,b)))),
introduced(tautology,[refl,[$fot(or(and(X,and(t1,t6)),and(not(X),and(t5,or(a,b)))))]]) ).
cnf(refute_0_18426,plain,
( and(not(X),and(t5,or(a,b))) != not(or(X,and(t1,t6)))
| or(and(X,and(t1,t6)),and(not(X),and(t5,or(a,b)))) != or(and(X,and(t1,t6)),and(not(X),and(t5,or(a,b))))
| or(and(X,and(t1,t6)),and(not(X),and(t5,or(a,b)))) = or(and(X,and(t1,t6)),not(or(X,and(t1,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X,and(t1,t6)),and(not(X),and(t5,or(a,b)))),or(and(X,and(t1,t6)),and(not(X),and(t5,or(a,b))))) ),[1,1],$fot(not(or(X,and(t1,t6))))]]) ).
cnf(refute_0_18427,plain,
( and(not(X),and(t5,or(a,b))) != not(or(X,and(t1,t6)))
| or(and(X,and(t1,t6)),and(not(X),and(t5,or(a,b)))) = or(and(X,and(t1,t6)),not(or(X,and(t1,t6)))) ),
inference(resolve,[$cnf( $equal(or(and(X,and(t1,t6)),and(not(X),and(t5,or(a,b)))),or(and(X,and(t1,t6)),and(not(X),and(t5,or(a,b))))) )],[refute_0_18425,refute_0_18426]) ).
cnf(refute_0_18428,plain,
or(and(X,and(t1,t6)),and(not(X),and(t5,or(a,b)))) = or(and(X,and(t1,t6)),not(or(X,and(t1,t6)))),
inference(resolve,[$cnf( $equal(and(not(X),and(t5,or(a,b))),not(or(X,and(t1,t6)))) )],[refute_0_18424,refute_0_18427]) ).
cnf(refute_0_18429,plain,
( or(and(X,and(t1,t6)),and(not(X),and(t5,or(a,b)))) != or(and(X,and(t1,t6)),not(or(X,and(t1,t6))))
| or(and(X,and(t1,t6)),not(or(X,and(t1,t6)))) != xor(X,xor(carry,t4))
| or(and(X,and(t1,t6)),and(not(X),and(t5,or(a,b)))) = xor(X,xor(carry,t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(X,and(t1,t6)),and(not(X),and(t5,or(a,b)))))),bind(Y0,$fot(or(and(X,and(t1,t6)),not(or(X,and(t1,t6)))))),bind(Z0,$fot(xor(X,xor(carry,t4))))]]) ).
cnf(refute_0_18430,plain,
( or(and(X,and(t1,t6)),not(or(X,and(t1,t6)))) != xor(X,xor(carry,t4))
| or(and(X,and(t1,t6)),and(not(X),and(t5,or(a,b)))) = xor(X,xor(carry,t4)) ),
inference(resolve,[$cnf( $equal(or(and(X,and(t1,t6)),and(not(X),and(t5,or(a,b)))),or(and(X,and(t1,t6)),not(or(X,and(t1,t6))))) )],[refute_0_18428,refute_0_18429]) ).
cnf(refute_0_18431,plain,
or(and(X,and(t1,t6)),and(not(X),and(t5,or(a,b)))) = xor(X,xor(carry,t4)),
inference(resolve,[$cnf( $equal(or(and(X,and(t1,t6)),not(or(X,and(t1,t6)))),xor(X,xor(carry,t4))) )],[refute_0_18385,refute_0_18430]) ).
cnf(refute_0_18432,plain,
( or(and(X,and(t1,t6)),and(not(X),and(t5,or(a,b)))) != xor(X,and(t5,or(a,b)))
| or(and(X,and(t1,t6)),and(not(X),and(t5,or(a,b)))) != xor(X,xor(carry,t4))
| xor(X,xor(carry,t4)) = xor(X,and(t5,or(a,b))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X,and(t1,t6)),and(not(X),and(t5,or(a,b)))),xor(X,and(t5,or(a,b)))) ),[0],$fot(xor(X,xor(carry,t4)))]]) ).
cnf(refute_0_18433,plain,
( or(and(X,and(t1,t6)),and(not(X),and(t5,or(a,b)))) != xor(X,and(t5,or(a,b)))
| xor(X,xor(carry,t4)) = xor(X,and(t5,or(a,b))) ),
inference(resolve,[$cnf( $equal(or(and(X,and(t1,t6)),and(not(X),and(t5,or(a,b)))),xor(X,xor(carry,t4))) )],[refute_0_18431,refute_0_18432]) ).
cnf(refute_0_18434,plain,
xor(X,xor(carry,t4)) = xor(X,and(t5,or(a,b))),
inference(resolve,[$cnf( $equal(or(and(X,and(t1,t6)),and(not(X),and(t5,or(a,b)))),xor(X,and(t5,or(a,b)))) )],[refute_0_18380,refute_0_18433]) ).
cnf(refute_0_18435,plain,
( xor(X,xor(carry,t4)) != xor(X,and(t5,or(a,b)))
| xor(X,and(t5,or(a,b))) = xor(X,xor(carry,t4)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X,xor(carry,t4)))),bind(Y0,$fot(xor(X,and(t5,or(a,b)))))]]) ).
cnf(refute_0_18436,plain,
xor(X,and(t5,or(a,b))) = xor(X,xor(carry,t4)),
inference(resolve,[$cnf( $equal(xor(X,xor(carry,t4)),xor(X,and(t5,or(a,b)))) )],[refute_0_18434,refute_0_18435]) ).
cnf(refute_0_18437,plain,
xor(X_333,and(t5,or(a,b))) = xor(X_333,xor(carry,t4)),
inference(subst,[],[refute_0_18436:[bind(X,$fot(X_333))]]) ).
cnf(refute_0_18438,plain,
not(xor(X_333,and(t5,or(a,b)))) = not(xor(X_333,and(t5,or(a,b)))),
introduced(tautology,[refl,[$fot(not(xor(X_333,and(t5,or(a,b)))))]]) ).
cnf(refute_0_18439,plain,
( not(xor(X_333,and(t5,or(a,b)))) != not(xor(X_333,and(t5,or(a,b))))
| xor(X_333,and(t5,or(a,b))) != xor(X_333,xor(carry,t4))
| not(xor(X_333,and(t5,or(a,b)))) = not(xor(X_333,xor(carry,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(X_333,and(t5,or(a,b)))),not(xor(X_333,and(t5,or(a,b))))) ),[1,0],$fot(xor(X_333,xor(carry,t4)))]]) ).
cnf(refute_0_18440,plain,
( xor(X_333,and(t5,or(a,b))) != xor(X_333,xor(carry,t4))
| not(xor(X_333,and(t5,or(a,b)))) = not(xor(X_333,xor(carry,t4))) ),
inference(resolve,[$cnf( $equal(not(xor(X_333,and(t5,or(a,b)))),not(xor(X_333,and(t5,or(a,b))))) )],[refute_0_18438,refute_0_18439]) ).
cnf(refute_0_18441,plain,
not(xor(X_333,and(t5,or(a,b)))) = not(xor(X_333,xor(carry,t4))),
inference(resolve,[$cnf( $equal(xor(X_333,and(t5,or(a,b))),xor(X_333,xor(carry,t4))) )],[refute_0_18437,refute_0_18440]) ).
cnf(refute_0_18442,plain,
( not(xor(X_333,and(t5,or(a,b)))) != not(xor(X_333,xor(carry,t4)))
| not(xor(X_333,and(t5,or(a,b)))) != xor(X_333,and(t1,t6))
| not(xor(X_333,xor(carry,t4))) = xor(X_333,and(t1,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(X_333,and(t5,or(a,b)))),xor(X_333,and(t1,t6))) ),[0],$fot(not(xor(X_333,xor(carry,t4))))]]) ).
cnf(refute_0_18443,plain,
( not(xor(X_333,and(t5,or(a,b)))) != xor(X_333,and(t1,t6))
| not(xor(X_333,xor(carry,t4))) = xor(X_333,and(t1,t6)) ),
inference(resolve,[$cnf( $equal(not(xor(X_333,and(t5,or(a,b)))),not(xor(X_333,xor(carry,t4)))) )],[refute_0_18441,refute_0_18442]) ).
cnf(refute_0_18444,plain,
not(xor(X_333,xor(carry,t4))) = xor(X_333,and(t1,t6)),
inference(resolve,[$cnf( $equal(not(xor(X_333,and(t5,or(a,b)))),xor(X_333,and(t1,t6))) )],[refute_0_18376,refute_0_18443]) ).
cnf(refute_0_18445,plain,
not(xor(a,xor(carry,t4))) = xor(a,and(t1,t6)),
inference(subst,[],[refute_0_18444:[bind(X_333,$fot(a))]]) ).
cnf(refute_0_18446,plain,
xor(a,not(xor(carry,t4))) = not(xor(a,xor(carry,t4))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(a)),bind(X_334,$fot(xor(carry,t4)))]]) ).
cnf(refute_0_18447,plain,
( not(xor(a,xor(carry,t4))) != xor(a,and(t1,t6))
| xor(a,not(xor(carry,t4))) != not(xor(a,xor(carry,t4)))
| xor(a,not(xor(carry,t4))) = xor(a,and(t1,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(a,not(xor(carry,t4))))),bind(Y0,$fot(not(xor(a,xor(carry,t4))))),bind(Z0,$fot(xor(a,and(t1,t6))))]]) ).
cnf(refute_0_18448,plain,
( not(xor(a,xor(carry,t4))) != xor(a,and(t1,t6))
| xor(a,not(xor(carry,t4))) = xor(a,and(t1,t6)) ),
inference(resolve,[$cnf( $equal(xor(a,not(xor(carry,t4))),not(xor(a,xor(carry,t4)))) )],[refute_0_18446,refute_0_18447]) ).
cnf(refute_0_18449,plain,
xor(a,not(xor(carry,t4))) = xor(a,and(t1,t6)),
inference(resolve,[$cnf( $equal(not(xor(a,xor(carry,t4))),xor(a,and(t1,t6))) )],[refute_0_18445,refute_0_18448]) ).
cnf(refute_0_18450,plain,
( not(xor(b,carry)) != xor(a,not(xor(carry,t4)))
| xor(a,not(xor(carry,t4))) != xor(a,and(t1,t6))
| not(xor(b,carry)) = xor(a,and(t1,t6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(b,carry)),xor(a,and(t1,t6))) ),[0],$fot(xor(a,not(xor(carry,t4))))]]) ).
cnf(refute_0_18451,plain,
( not(xor(b,carry)) != xor(a,not(xor(carry,t4)))
| not(xor(b,carry)) = xor(a,and(t1,t6)) ),
inference(resolve,[$cnf( $equal(xor(a,not(xor(carry,t4))),xor(a,and(t1,t6))) )],[refute_0_18449,refute_0_18450]) ).
cnf(refute_0_18452,plain,
not(xor(b,carry)) = xor(a,and(t1,t6)),
inference(resolve,[$cnf( $equal(not(xor(b,carry)),xor(a,not(xor(carry,t4)))) )],[refute_0_18372,refute_0_18451]) ).
cnf(refute_0_18453,plain,
( not(xor(b,carry)) != xor(a,and(t1,t6))
| xor(a,and(t1,t6)) = not(xor(b,carry)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(xor(b,carry)))),bind(Y0,$fot(xor(a,and(t1,t6))))]]) ).
cnf(refute_0_18454,plain,
xor(a,and(t1,t6)) = not(xor(b,carry)),
inference(resolve,[$cnf( $equal(not(xor(b,carry)),xor(a,and(t1,t6))) )],[refute_0_18452,refute_0_18453]) ).
cnf(refute_0_18455,plain,
( xor(a,and(t1,t6)) != not(xor(b,carry))
| xor(a,xor(and(t1,t6),Z)) != xor(xor(a,and(t1,t6)),Z)
| xor(a,xor(and(t1,t6),Z)) = xor(not(xor(b,carry)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(and(t1,t6),Z)),xor(xor(a,and(t1,t6)),Z)) ),[1,0],$fot(not(xor(b,carry)))]]) ).
cnf(refute_0_18456,plain,
( xor(a,xor(and(t1,t6),Z)) != xor(xor(a,and(t1,t6)),Z)
| xor(a,xor(and(t1,t6),Z)) = xor(not(xor(b,carry)),Z) ),
inference(resolve,[$cnf( $equal(xor(a,and(t1,t6)),not(xor(b,carry))) )],[refute_0_18454,refute_0_18455]) ).
cnf(refute_0_18457,plain,
xor(a,xor(and(t1,t6),Z)) = xor(not(xor(b,carry)),Z),
inference(resolve,[$cnf( $equal(xor(a,xor(and(t1,t6),Z)),xor(xor(a,and(t1,t6)),Z)) )],[refute_0_18365,refute_0_18456]) ).
cnf(refute_0_18458,plain,
not(xor(xor(b,carry),Z)) = not(xor(xor(b,carry),Z)),
introduced(tautology,[refl,[$fot(not(xor(xor(b,carry),Z)))]]) ).
cnf(refute_0_18459,plain,
( not(xor(xor(b,carry),Z)) != not(xor(xor(b,carry),Z))
| xor(xor(b,carry),Z) != xor(b,xor(carry,Z))
| not(xor(xor(b,carry),Z)) = not(xor(b,xor(carry,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(xor(b,carry),Z)),not(xor(xor(b,carry),Z))) ),[1,0],$fot(xor(b,xor(carry,Z)))]]) ).
cnf(refute_0_18460,plain,
( xor(xor(b,carry),Z) != xor(b,xor(carry,Z))
| not(xor(xor(b,carry),Z)) = not(xor(b,xor(carry,Z))) ),
inference(resolve,[$cnf( $equal(not(xor(xor(b,carry),Z)),not(xor(xor(b,carry),Z))) )],[refute_0_18458,refute_0_18459]) ).
cnf(refute_0_18461,plain,
not(xor(xor(b,carry),Z)) = not(xor(b,xor(carry,Z))),
inference(resolve,[$cnf( $equal(xor(xor(b,carry),Z),xor(b,xor(carry,Z))) )],[refute_0_16936,refute_0_18460]) ).
cnf(refute_0_18462,plain,
xor(not(xor(b,carry)),Z) = not(xor(xor(b,carry),Z)),
inference(subst,[],[refute_0_2075:[bind(Y,$fot(Z)),bind(X_63,$fot(xor(b,carry)))]]) ).
cnf(refute_0_18463,plain,
( not(xor(xor(b,carry),Z)) != not(xor(b,xor(carry,Z)))
| xor(not(xor(b,carry)),Z) != not(xor(xor(b,carry),Z))
| xor(not(xor(b,carry)),Z) = not(xor(b,xor(carry,Z))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(not(xor(b,carry)),Z))),bind(Y0,$fot(not(xor(xor(b,carry),Z)))),bind(Z0,$fot(not(xor(b,xor(carry,Z)))))]]) ).
cnf(refute_0_18464,plain,
( not(xor(xor(b,carry),Z)) != not(xor(b,xor(carry,Z)))
| xor(not(xor(b,carry)),Z) = not(xor(b,xor(carry,Z))) ),
inference(resolve,[$cnf( $equal(xor(not(xor(b,carry)),Z),not(xor(xor(b,carry),Z))) )],[refute_0_18462,refute_0_18463]) ).
cnf(refute_0_18465,plain,
xor(not(xor(b,carry)),Z) = not(xor(b,xor(carry,Z))),
inference(resolve,[$cnf( $equal(not(xor(xor(b,carry),Z)),not(xor(b,xor(carry,Z)))) )],[refute_0_18461,refute_0_18464]) ).
cnf(refute_0_18466,plain,
( xor(a,xor(and(t1,t6),Z)) != xor(not(xor(b,carry)),Z)
| xor(not(xor(b,carry)),Z) != not(xor(b,xor(carry,Z)))
| xor(a,xor(and(t1,t6),Z)) = not(xor(b,xor(carry,Z))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(a,xor(and(t1,t6),Z)),not(xor(b,xor(carry,Z)))) ),[0],$fot(xor(not(xor(b,carry)),Z))]]) ).
cnf(refute_0_18467,plain,
( xor(a,xor(and(t1,t6),Z)) != xor(not(xor(b,carry)),Z)
| xor(a,xor(and(t1,t6),Z)) = not(xor(b,xor(carry,Z))) ),
inference(resolve,[$cnf( $equal(xor(not(xor(b,carry)),Z),not(xor(b,xor(carry,Z)))) )],[refute_0_18465,refute_0_18466]) ).
cnf(refute_0_18468,plain,
xor(a,xor(and(t1,t6),Z)) = not(xor(b,xor(carry,Z))),
inference(resolve,[$cnf( $equal(xor(a,xor(and(t1,t6),Z)),xor(not(xor(b,carry)),Z)) )],[refute_0_18457,refute_0_18467]) ).
cnf(refute_0_18469,plain,
xor(a,xor(and(t1,t6),t1)) = not(xor(b,xor(carry,t1))),
inference(subst,[],[refute_0_18468:[bind(Z,$fot(t1))]]) ).
cnf(refute_0_18470,plain,
( not(xor(b,xor(carry,t1))) != not(xor(b,t5))
| xor(a,xor(and(t1,t6),t1)) != not(xor(b,xor(carry,t1)))
| xor(a,xor(and(t1,t6),t1)) = not(xor(b,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(a,xor(and(t1,t6),t1)))),bind(Y0,$fot(not(xor(b,xor(carry,t1))))),bind(Z0,$fot(not(xor(b,t5))))]]) ).
cnf(refute_0_18471,plain,
( not(xor(b,xor(carry,t1))) != not(xor(b,t5))
| xor(a,xor(and(t1,t6),t1)) = not(xor(b,t5)) ),
inference(resolve,[$cnf( $equal(xor(a,xor(and(t1,t6),t1)),not(xor(b,xor(carry,t1)))) )],[refute_0_18469,refute_0_18470]) ).
cnf(refute_0_18472,plain,
xor(a,xor(and(t1,t6),t1)) = not(xor(b,t5)),
inference(resolve,[$cnf( $equal(not(xor(b,xor(carry,t1))),not(xor(b,t5))) )],[refute_0_18364,refute_0_18471]) ).
cnf(refute_0_18473,plain,
( xor(a,xor(and(t1,t6),t1)) != not(xor(a,t6))
| xor(a,xor(and(t1,t6),t1)) != not(xor(b,t5))
| not(xor(b,t5)) = not(xor(a,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(and(t1,t6),t1)),not(xor(a,t6))) ),[0],$fot(not(xor(b,t5)))]]) ).
cnf(refute_0_18474,plain,
( xor(a,xor(and(t1,t6),t1)) != not(xor(a,t6))
| not(xor(b,t5)) = not(xor(a,t6)) ),
inference(resolve,[$cnf( $equal(xor(a,xor(and(t1,t6),t1)),not(xor(b,t5))) )],[refute_0_18472,refute_0_18473]) ).
cnf(refute_0_18475,plain,
not(xor(b,t5)) = not(xor(a,t6)),
inference(resolve,[$cnf( $equal(xor(a,xor(and(t1,t6),t1)),not(xor(a,t6))) )],[refute_0_18354,refute_0_18474]) ).
cnf(refute_0_18476,plain,
( not(xor(b,t5)) != not(xor(a,t6))
| or(and(xor(b,t5),not(Y)),and(not(xor(b,t5)),Y)) != xor(xor(b,t5),Y)
| or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y)) = xor(xor(b,t5),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(b,t5),not(Y)),and(not(xor(b,t5)),Y)),xor(xor(b,t5),Y)) ),[0,1,0],$fot(not(xor(a,t6)))]]) ).
cnf(refute_0_18477,plain,
( or(and(xor(b,t5),not(Y)),and(not(xor(b,t5)),Y)) != xor(xor(b,t5),Y)
| or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y)) = xor(xor(b,t5),Y) ),
inference(resolve,[$cnf( $equal(not(xor(b,t5)),not(xor(a,t6))) )],[refute_0_18475,refute_0_18476]) ).
cnf(refute_0_18478,plain,
or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y)) = xor(xor(b,t5),Y),
inference(resolve,[$cnf( $equal(or(and(xor(b,t5),not(Y)),and(not(xor(b,t5)),Y)),xor(xor(b,t5),Y)) )],[refute_0_18310,refute_0_18477]) ).
cnf(refute_0_18479,plain,
xor(xor(b,t5),Y) = xor(b,xor(t5,Y)),
inference(subst,[],[refute_0_526:[bind(X,$fot(b)),bind(Y,$fot(t5)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_18480,plain,
( or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y)) != xor(xor(b,t5),Y)
| xor(xor(b,t5),Y) != xor(b,xor(t5,Y))
| or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y)) = xor(b,xor(t5,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y)),xor(b,xor(t5,Y))) ),[0],$fot(xor(xor(b,t5),Y))]]) ).
cnf(refute_0_18481,plain,
( or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y)) != xor(xor(b,t5),Y)
| or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y)) = xor(b,xor(t5,Y)) ),
inference(resolve,[$cnf( $equal(xor(xor(b,t5),Y),xor(b,xor(t5,Y))) )],[refute_0_18479,refute_0_18480]) ).
cnf(refute_0_18482,plain,
or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y)) = xor(b,xor(t5,Y)),
inference(resolve,[$cnf( $equal(or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y)),xor(xor(b,t5),Y)) )],[refute_0_18478,refute_0_18481]) ).
cnf(refute_0_18483,plain,
xor(xor(a,t6),Y) = xor(a,xor(t6,Y)),
inference(subst,[],[refute_0_526:[bind(X,$fot(a)),bind(Y,$fot(t6)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_18484,plain,
or(and(xor(a,t6),not(Y)),and(not(xor(a,t6)),Y)) = xor(xor(a,t6),Y),
inference(subst,[],[refute_0_9:[bind(X,$fot(xor(a,t6)))]]) ).
cnf(refute_0_18485,plain,
( or(and(xor(a,t6),not(Y)),and(not(xor(a,t6)),Y)) != xor(xor(a,t6),Y)
| xor(xor(a,t6),Y) != xor(a,xor(t6,Y))
| or(and(xor(a,t6),not(Y)),and(not(xor(a,t6)),Y)) = xor(a,xor(t6,Y)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(xor(a,t6),not(Y)),and(not(xor(a,t6)),Y)))),bind(Y0,$fot(xor(xor(a,t6),Y))),bind(Z0,$fot(xor(a,xor(t6,Y))))]]) ).
cnf(refute_0_18486,plain,
( xor(xor(a,t6),Y) != xor(a,xor(t6,Y))
| or(and(xor(a,t6),not(Y)),and(not(xor(a,t6)),Y)) = xor(a,xor(t6,Y)) ),
inference(resolve,[$cnf( $equal(or(and(xor(a,t6),not(Y)),and(not(xor(a,t6)),Y)),xor(xor(a,t6),Y)) )],[refute_0_18484,refute_0_18485]) ).
cnf(refute_0_18487,plain,
or(and(xor(a,t6),not(Y)),and(not(xor(a,t6)),Y)) = xor(a,xor(t6,Y)),
inference(resolve,[$cnf( $equal(xor(xor(a,t6),Y),xor(a,xor(t6,Y))) )],[refute_0_18483,refute_0_18486]) ).
cnf(refute_0_18488,plain,
not(or(not(xor(b,t5)),X_26)) = and(xor(b,t5),not(X_26)),
inference(subst,[],[refute_0_159:[bind(X,$fot(xor(b,t5)))]]) ).
cnf(refute_0_18489,plain,
( not(or(not(xor(b,t5)),X_26)) != and(xor(b,t5),not(X_26))
| not(xor(b,t5)) != not(xor(a,t6))
| not(or(not(xor(a,t6)),X_26)) = and(xor(b,t5),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(xor(b,t5)),X_26)),and(xor(b,t5),not(X_26))) ),[0,0,0],$fot(not(xor(a,t6)))]]) ).
cnf(refute_0_18490,plain,
( not(or(not(xor(b,t5)),X_26)) != and(xor(b,t5),not(X_26))
| not(or(not(xor(a,t6)),X_26)) = and(xor(b,t5),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(xor(b,t5)),not(xor(a,t6))) )],[refute_0_18475,refute_0_18489]) ).
cnf(refute_0_18491,plain,
not(or(not(xor(a,t6)),X_26)) = and(xor(b,t5),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(not(xor(b,t5)),X_26)),and(xor(b,t5),not(X_26))) )],[refute_0_18488,refute_0_18490]) ).
cnf(refute_0_18492,plain,
not(or(not(xor(a,t6)),X_26)) = and(xor(a,t6),not(X_26)),
inference(subst,[],[refute_0_159:[bind(X,$fot(xor(a,t6)))]]) ).
cnf(refute_0_18493,plain,
( not(or(not(xor(a,t6)),X_26)) != and(xor(a,t6),not(X_26))
| not(or(not(xor(a,t6)),X_26)) != and(xor(b,t5),not(X_26))
| and(xor(a,t6),not(X_26)) = and(xor(b,t5),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(xor(a,t6)),X_26)),and(xor(b,t5),not(X_26))) ),[0],$fot(and(xor(a,t6),not(X_26)))]]) ).
cnf(refute_0_18494,plain,
( not(or(not(xor(a,t6)),X_26)) != and(xor(b,t5),not(X_26))
| and(xor(a,t6),not(X_26)) = and(xor(b,t5),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(or(not(xor(a,t6)),X_26)),and(xor(a,t6),not(X_26))) )],[refute_0_18492,refute_0_18493]) ).
cnf(refute_0_18495,plain,
and(xor(a,t6),not(X_26)) = and(xor(b,t5),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(not(xor(a,t6)),X_26)),and(xor(b,t5),not(X_26))) )],[refute_0_18491,refute_0_18494]) ).
cnf(refute_0_18496,plain,
( and(xor(a,t6),not(X_26)) != and(xor(b,t5),not(X_26))
| and(xor(b,t5),not(X_26)) = and(xor(a,t6),not(X_26)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(xor(a,t6),not(X_26)))),bind(Y0,$fot(and(xor(b,t5),not(X_26))))]]) ).
cnf(refute_0_18497,plain,
and(xor(b,t5),not(X_26)) = and(xor(a,t6),not(X_26)),
inference(resolve,[$cnf( $equal(and(xor(a,t6),not(X_26)),and(xor(b,t5),not(X_26))) )],[refute_0_18495,refute_0_18496]) ).
cnf(refute_0_18498,plain,
and(xor(b,t5),not(Y)) = and(xor(a,t6),not(Y)),
inference(subst,[],[refute_0_18497:[bind(X_26,$fot(Y))]]) ).
cnf(refute_0_18499,plain,
or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y)) = or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y)),
introduced(tautology,[refl,[$fot(or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y)))]]) ).
cnf(refute_0_18500,plain,
( and(xor(b,t5),not(Y)) != and(xor(a,t6),not(Y))
| or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y)) != or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y))
| or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y)) = or(and(xor(a,t6),not(Y)),and(not(xor(a,t6)),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y)),or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y))) ),[1,0],$fot(and(xor(a,t6),not(Y)))]]) ).
cnf(refute_0_18501,plain,
( and(xor(b,t5),not(Y)) != and(xor(a,t6),not(Y))
| or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y)) = or(and(xor(a,t6),not(Y)),and(not(xor(a,t6)),Y)) ),
inference(resolve,[$cnf( $equal(or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y)),or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y))) )],[refute_0_18499,refute_0_18500]) ).
cnf(refute_0_18502,plain,
or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y)) = or(and(xor(a,t6),not(Y)),and(not(xor(a,t6)),Y)),
inference(resolve,[$cnf( $equal(and(xor(b,t5),not(Y)),and(xor(a,t6),not(Y))) )],[refute_0_18498,refute_0_18501]) ).
cnf(refute_0_18503,plain,
( or(and(xor(a,t6),not(Y)),and(not(xor(a,t6)),Y)) != xor(a,xor(t6,Y))
| or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y)) != or(and(xor(a,t6),not(Y)),and(not(xor(a,t6)),Y))
| or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y)) = xor(a,xor(t6,Y)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y)))),bind(Y0,$fot(or(and(xor(a,t6),not(Y)),and(not(xor(a,t6)),Y)))),bind(Z0,$fot(xor(a,xor(t6,Y))))]]) ).
cnf(refute_0_18504,plain,
( or(and(xor(a,t6),not(Y)),and(not(xor(a,t6)),Y)) != xor(a,xor(t6,Y))
| or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y)) = xor(a,xor(t6,Y)) ),
inference(resolve,[$cnf( $equal(or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y)),or(and(xor(a,t6),not(Y)),and(not(xor(a,t6)),Y))) )],[refute_0_18502,refute_0_18503]) ).
cnf(refute_0_18505,plain,
or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y)) = xor(a,xor(t6,Y)),
inference(resolve,[$cnf( $equal(or(and(xor(a,t6),not(Y)),and(not(xor(a,t6)),Y)),xor(a,xor(t6,Y))) )],[refute_0_18487,refute_0_18504]) ).
cnf(refute_0_18506,plain,
( or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y)) != xor(a,xor(t6,Y))
| or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y)) != xor(b,xor(t5,Y))
| xor(a,xor(t6,Y)) = xor(b,xor(t5,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y)),xor(b,xor(t5,Y))) ),[0],$fot(xor(a,xor(t6,Y)))]]) ).
cnf(refute_0_18507,plain,
( or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y)) != xor(b,xor(t5,Y))
| xor(a,xor(t6,Y)) = xor(b,xor(t5,Y)) ),
inference(resolve,[$cnf( $equal(or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y)),xor(a,xor(t6,Y))) )],[refute_0_18505,refute_0_18506]) ).
cnf(refute_0_18508,plain,
xor(a,xor(t6,Y)) = xor(b,xor(t5,Y)),
inference(resolve,[$cnf( $equal(or(and(xor(b,t5),not(Y)),and(not(xor(a,t6)),Y)),xor(b,xor(t5,Y))) )],[refute_0_18482,refute_0_18507]) ).
cnf(refute_0_18509,plain,
( xor(a,xor(t6,Y)) != xor(b,xor(t5,Y))
| xor(b,xor(t5,Y)) = xor(a,xor(t6,Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(a,xor(t6,Y)))),bind(Y0,$fot(xor(b,xor(t5,Y))))]]) ).
cnf(refute_0_18510,plain,
xor(b,xor(t5,Y)) = xor(a,xor(t6,Y)),
inference(resolve,[$cnf( $equal(xor(a,xor(t6,Y)),xor(b,xor(t5,Y))) )],[refute_0_18508,refute_0_18509]) ).
cnf(refute_0_18511,plain,
xor(b,xor(t5,or(a,t6))) = xor(a,xor(t6,or(a,t6))),
inference(subst,[],[refute_0_18510:[bind(Y,$fot(or(a,t6)))]]) ).
cnf(refute_0_18512,plain,
( and(carry,not(xor(t3,or(a,t6)))) != xor(b,xor(t5,or(a,t6)))
| xor(b,xor(t5,or(a,t6))) != xor(a,xor(t6,or(a,t6)))
| and(carry,not(xor(t3,or(a,t6)))) = xor(a,xor(t6,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(carry,not(xor(t3,or(a,t6)))),xor(a,xor(t6,or(a,t6)))) ),[0],$fot(xor(b,xor(t5,or(a,t6))))]]) ).
cnf(refute_0_18513,plain,
( and(carry,not(xor(t3,or(a,t6)))) != xor(b,xor(t5,or(a,t6)))
| and(carry,not(xor(t3,or(a,t6)))) = xor(a,xor(t6,or(a,t6))) ),
inference(resolve,[$cnf( $equal(xor(b,xor(t5,or(a,t6))),xor(a,xor(t6,or(a,t6)))) )],[refute_0_18511,refute_0_18512]) ).
cnf(refute_0_18514,plain,
and(carry,not(xor(t3,or(a,t6)))) = xor(a,xor(t6,or(a,t6))),
inference(resolve,[$cnf( $equal(and(carry,not(xor(t3,or(a,t6)))),xor(b,xor(t5,or(a,t6)))) )],[refute_0_18309,refute_0_18513]) ).
cnf(refute_0_18515,plain,
not(not(or(a,t5))) = or(a,t5),
inference(subst,[],[not_involution:[bind(X,$fot(or(a,t5)))]]) ).
cnf(refute_0_18516,plain,
not(or(not(xor(t5,or(carry,t2))),a)) = not(or(a,not(xor(t5,or(carry,t2))))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(a)),bind(X_26,$fot(not(xor(t5,or(carry,t2)))))]]) ).
cnf(refute_0_18517,plain,
or(a,not(not(xor(carry,or(carry,t2))))) = or(a,not(and(t1,not(xor(carry,or(carry,t2)))))),
inference(subst,[],[refute_0_2972:[bind(Y,$fot(not(xor(carry,or(carry,t2)))))]]) ).
cnf(refute_0_18518,plain,
or(and(t1,not(xor(carry,or(carry,t2)))),and(not(t1),xor(carry,or(carry,t2)))) = xor(t1,xor(carry,or(carry,t2))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t1)),bind(Y,$fot(xor(carry,or(carry,t2))))]]) ).
cnf(refute_0_18519,plain,
and(or(t1,not(xor(carry,or(carry,t2)))),not(or(not(xor(carry,or(carry,t2))),t1))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(not(xor(carry,or(carry,t2))))),bind(X_28,$fot(t1))]]) ).
cnf(refute_0_18520,plain,
ll1 = or(t1,not(and(t1,xor(carry,or(carry,t2))))),
inference(subst,[],[refute_0_7235:[bind(Y,$fot(xor(carry,or(carry,t2)))),bind(X_53,$fot(t1))]]) ).
cnf(refute_0_18521,plain,
and(not(carry),or(t2,and(carry,t1))) = and(t1,and(not(carry),or(t2,and(carry,t1)))),
inference(subst,[],[refute_0_10470:[bind(X_222,$fot(or(t2,and(carry,t1))))]]) ).
cnf(refute_0_18522,plain,
or(and(carry,not(or(t2,and(carry,t1)))),and(not(carry),or(t2,and(carry,t1)))) = xor(carry,or(t2,and(carry,t1))),
inference(subst,[],[refute_0_9:[bind(X,$fot(carry)),bind(Y,$fot(or(t2,and(carry,t1))))]]) ).
cnf(refute_0_18523,plain,
and(and(X_220,t1),and(carry,xor(carry,t1))) = and(X_220,and(t1,and(carry,xor(carry,t1)))),
inference(subst,[],[and_associative:[bind(X,$fot(X_220)),bind(Y,$fot(t1)),bind(Z,$fot(and(carry,xor(carry,t1))))]]) ).
cnf(refute_0_18524,plain,
and(and(t1,xor(carry,t1)),carry) = and(carry,and(t1,xor(carry,t1))),
inference(subst,[],[and_commutative:[bind(X,$fot(and(t1,xor(carry,t1)))),bind(Y,$fot(carry))]]) ).
cnf(refute_0_18525,plain,
and(and(carry,t1),not(and(carry,t1))) = ll0,
inference(subst,[],[and_complement:[bind(X,$fot(and(carry,t1)))]]) ).
cnf(refute_0_18526,plain,
( and(and(carry,t1),not(and(carry,t1))) != ll0
| not(and(carry,t1)) != xor(carry,t1)
| and(and(carry,t1),xor(carry,t1)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(carry,t1),not(and(carry,t1))),ll0) ),[0,1],$fot(xor(carry,t1))]]) ).
cnf(refute_0_18527,plain,
( and(and(carry,t1),not(and(carry,t1))) != ll0
| and(and(carry,t1),xor(carry,t1)) = ll0 ),
inference(resolve,[$cnf( $equal(not(and(carry,t1)),xor(carry,t1)) )],[refute_0_11689,refute_0_18526]) ).
cnf(refute_0_18528,plain,
and(and(carry,t1),xor(carry,t1)) = ll0,
inference(resolve,[$cnf( $equal(and(and(carry,t1),not(and(carry,t1))),ll0) )],[refute_0_18525,refute_0_18527]) ).
cnf(refute_0_18529,plain,
and(and(carry,t1),xor(carry,t1)) = and(carry,and(t1,xor(carry,t1))),
inference(subst,[],[and_associative:[bind(X,$fot(carry)),bind(Y,$fot(t1)),bind(Z,$fot(xor(carry,t1)))]]) ).
cnf(refute_0_18530,plain,
( and(and(carry,t1),xor(carry,t1)) != and(carry,and(t1,xor(carry,t1)))
| and(and(carry,t1),xor(carry,t1)) != ll0
| and(carry,and(t1,xor(carry,t1))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(carry,t1),xor(carry,t1)),ll0) ),[0],$fot(and(carry,and(t1,xor(carry,t1))))]]) ).
cnf(refute_0_18531,plain,
( and(and(carry,t1),xor(carry,t1)) != ll0
| and(carry,and(t1,xor(carry,t1))) = ll0 ),
inference(resolve,[$cnf( $equal(and(and(carry,t1),xor(carry,t1)),and(carry,and(t1,xor(carry,t1)))) )],[refute_0_18529,refute_0_18530]) ).
cnf(refute_0_18532,plain,
and(carry,and(t1,xor(carry,t1))) = ll0,
inference(resolve,[$cnf( $equal(and(and(carry,t1),xor(carry,t1)),ll0) )],[refute_0_18528,refute_0_18531]) ).
cnf(refute_0_18533,plain,
( and(and(t1,xor(carry,t1)),carry) != and(carry,and(t1,xor(carry,t1)))
| and(carry,and(t1,xor(carry,t1))) != ll0
| and(and(t1,xor(carry,t1)),carry) = ll0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(and(t1,xor(carry,t1)),carry),ll0) ),[0],$fot(and(carry,and(t1,xor(carry,t1))))]]) ).
cnf(refute_0_18534,plain,
( and(and(t1,xor(carry,t1)),carry) != and(carry,and(t1,xor(carry,t1)))
| and(and(t1,xor(carry,t1)),carry) = ll0 ),
inference(resolve,[$cnf( $equal(and(carry,and(t1,xor(carry,t1))),ll0) )],[refute_0_18532,refute_0_18533]) ).
cnf(refute_0_18535,plain,
and(and(t1,xor(carry,t1)),carry) = ll0,
inference(resolve,[$cnf( $equal(and(and(t1,xor(carry,t1)),carry),and(carry,and(t1,xor(carry,t1)))) )],[refute_0_18524,refute_0_18534]) ).
cnf(refute_0_18536,plain,
and(xor(carry,t1),carry) = and(carry,xor(carry,t1)),
inference(subst,[],[refute_0_116:[bind(X,$fot(carry)),bind(Y,$fot(xor(carry,t1)))]]) ).
cnf(refute_0_18537,plain,
and(t1,and(xor(carry,t1),carry)) = and(t1,and(xor(carry,t1),carry)),
introduced(tautology,[refl,[$fot(and(t1,and(xor(carry,t1),carry)))]]) ).
cnf(refute_0_18538,plain,
( and(t1,and(xor(carry,t1),carry)) != and(t1,and(xor(carry,t1),carry))
| and(xor(carry,t1),carry) != and(carry,xor(carry,t1))
| and(t1,and(xor(carry,t1),carry)) = and(t1,and(carry,xor(carry,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,and(xor(carry,t1),carry)),and(t1,and(xor(carry,t1),carry))) ),[1,1],$fot(and(carry,xor(carry,t1)))]]) ).
cnf(refute_0_18539,plain,
( and(xor(carry,t1),carry) != and(carry,xor(carry,t1))
| and(t1,and(xor(carry,t1),carry)) = and(t1,and(carry,xor(carry,t1))) ),
inference(resolve,[$cnf( $equal(and(t1,and(xor(carry,t1),carry)),and(t1,and(xor(carry,t1),carry))) )],[refute_0_18537,refute_0_18538]) ).
cnf(refute_0_18540,plain,
and(t1,and(xor(carry,t1),carry)) = and(t1,and(carry,xor(carry,t1))),
inference(resolve,[$cnf( $equal(and(xor(carry,t1),carry),and(carry,xor(carry,t1))) )],[refute_0_18536,refute_0_18539]) ).
cnf(refute_0_18541,plain,
and(and(t1,xor(carry,t1)),carry) = and(t1,and(xor(carry,t1),carry)),
inference(subst,[],[and_associative:[bind(X,$fot(t1)),bind(Y,$fot(xor(carry,t1))),bind(Z,$fot(carry))]]) ).
cnf(refute_0_18542,plain,
( and(and(t1,xor(carry,t1)),carry) != and(t1,and(xor(carry,t1),carry))
| and(t1,and(xor(carry,t1),carry)) != and(t1,and(carry,xor(carry,t1)))
| and(and(t1,xor(carry,t1)),carry) = and(t1,and(carry,xor(carry,t1))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(t1,xor(carry,t1)),carry))),bind(Y0,$fot(and(t1,and(xor(carry,t1),carry)))),bind(Z0,$fot(and(t1,and(carry,xor(carry,t1)))))]]) ).
cnf(refute_0_18543,plain,
( and(t1,and(xor(carry,t1),carry)) != and(t1,and(carry,xor(carry,t1)))
| and(and(t1,xor(carry,t1)),carry) = and(t1,and(carry,xor(carry,t1))) ),
inference(resolve,[$cnf( $equal(and(and(t1,xor(carry,t1)),carry),and(t1,and(xor(carry,t1),carry))) )],[refute_0_18541,refute_0_18542]) ).
cnf(refute_0_18544,plain,
and(and(t1,xor(carry,t1)),carry) = and(t1,and(carry,xor(carry,t1))),
inference(resolve,[$cnf( $equal(and(t1,and(xor(carry,t1),carry)),and(t1,and(carry,xor(carry,t1)))) )],[refute_0_18540,refute_0_18543]) ).
cnf(refute_0_18545,plain,
( and(and(t1,xor(carry,t1)),carry) != and(t1,and(carry,xor(carry,t1)))
| and(and(t1,xor(carry,t1)),carry) != ll0
| and(t1,and(carry,xor(carry,t1))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t1,xor(carry,t1)),carry),ll0) ),[0],$fot(and(t1,and(carry,xor(carry,t1))))]]) ).
cnf(refute_0_18546,plain,
( and(and(t1,xor(carry,t1)),carry) != ll0
| and(t1,and(carry,xor(carry,t1))) = ll0 ),
inference(resolve,[$cnf( $equal(and(and(t1,xor(carry,t1)),carry),and(t1,and(carry,xor(carry,t1)))) )],[refute_0_18544,refute_0_18545]) ).
cnf(refute_0_18547,plain,
and(t1,and(carry,xor(carry,t1))) = ll0,
inference(resolve,[$cnf( $equal(and(and(t1,xor(carry,t1)),carry),ll0) )],[refute_0_18535,refute_0_18546]) ).
cnf(refute_0_18548,plain,
( and(and(X_220,t1),and(carry,xor(carry,t1))) != and(X_220,and(t1,and(carry,xor(carry,t1))))
| and(t1,and(carry,xor(carry,t1))) != ll0
| and(and(X_220,t1),and(carry,xor(carry,t1))) = and(X_220,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X_220,t1),and(carry,xor(carry,t1))),and(X_220,and(t1,and(carry,xor(carry,t1))))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_18549,plain,
( and(and(X_220,t1),and(carry,xor(carry,t1))) != and(X_220,and(t1,and(carry,xor(carry,t1))))
| and(and(X_220,t1),and(carry,xor(carry,t1))) = and(X_220,ll0) ),
inference(resolve,[$cnf( $equal(and(t1,and(carry,xor(carry,t1))),ll0) )],[refute_0_18547,refute_0_18548]) ).
cnf(refute_0_18550,plain,
and(and(X_220,t1),and(carry,xor(carry,t1))) = and(X_220,ll0),
inference(resolve,[$cnf( $equal(and(and(X_220,t1),and(carry,xor(carry,t1))),and(X_220,and(t1,and(carry,xor(carry,t1))))) )],[refute_0_18523,refute_0_18549]) ).
cnf(refute_0_18551,plain,
and(and(X_220,t1),xor(carry,t1)) = and(X_220,and(t1,xor(carry,t1))),
inference(subst,[],[and_associative:[bind(X,$fot(X_220)),bind(Y,$fot(t1)),bind(Z,$fot(xor(carry,t1)))]]) ).
cnf(refute_0_18552,plain,
and(carry,and(and(X_220,t1),xor(carry,t1))) = and(carry,and(and(X_220,t1),xor(carry,t1))),
introduced(tautology,[refl,[$fot(and(carry,and(and(X_220,t1),xor(carry,t1))))]]) ).
cnf(refute_0_18553,plain,
( and(and(X_220,t1),xor(carry,t1)) != and(X_220,and(t1,xor(carry,t1)))
| and(carry,and(and(X_220,t1),xor(carry,t1))) != and(carry,and(and(X_220,t1),xor(carry,t1)))
| and(carry,and(and(X_220,t1),xor(carry,t1))) = and(carry,and(X_220,and(t1,xor(carry,t1)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,and(and(X_220,t1),xor(carry,t1))),and(carry,and(and(X_220,t1),xor(carry,t1)))) ),[1,1],$fot(and(X_220,and(t1,xor(carry,t1))))]]) ).
cnf(refute_0_18554,plain,
( and(and(X_220,t1),xor(carry,t1)) != and(X_220,and(t1,xor(carry,t1)))
| and(carry,and(and(X_220,t1),xor(carry,t1))) = and(carry,and(X_220,and(t1,xor(carry,t1)))) ),
inference(resolve,[$cnf( $equal(and(carry,and(and(X_220,t1),xor(carry,t1))),and(carry,and(and(X_220,t1),xor(carry,t1)))) )],[refute_0_18552,refute_0_18553]) ).
cnf(refute_0_18555,plain,
and(carry,and(and(X_220,t1),xor(carry,t1))) = and(carry,and(X_220,and(t1,xor(carry,t1)))),
inference(resolve,[$cnf( $equal(and(and(X_220,t1),xor(carry,t1)),and(X_220,and(t1,xor(carry,t1)))) )],[refute_0_18551,refute_0_18554]) ).
cnf(refute_0_18556,plain,
and(and(X_220,t1),and(carry,xor(carry,t1))) = and(carry,and(and(X_220,t1),xor(carry,t1))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(and(X_220,t1))),bind(X_221,$fot(carry)),bind(X_222,$fot(xor(carry,t1)))]]) ).
cnf(refute_0_18557,plain,
( and(and(X_220,t1),and(carry,xor(carry,t1))) != and(carry,and(and(X_220,t1),xor(carry,t1)))
| and(carry,and(and(X_220,t1),xor(carry,t1))) != and(carry,and(X_220,and(t1,xor(carry,t1))))
| and(and(X_220,t1),and(carry,xor(carry,t1))) = and(carry,and(X_220,and(t1,xor(carry,t1)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(X_220,t1),and(carry,xor(carry,t1))))),bind(Y0,$fot(and(carry,and(and(X_220,t1),xor(carry,t1))))),bind(Z0,$fot(and(carry,and(X_220,and(t1,xor(carry,t1))))))]]) ).
cnf(refute_0_18558,plain,
( and(carry,and(and(X_220,t1),xor(carry,t1))) != and(carry,and(X_220,and(t1,xor(carry,t1))))
| and(and(X_220,t1),and(carry,xor(carry,t1))) = and(carry,and(X_220,and(t1,xor(carry,t1)))) ),
inference(resolve,[$cnf( $equal(and(and(X_220,t1),and(carry,xor(carry,t1))),and(carry,and(and(X_220,t1),xor(carry,t1)))) )],[refute_0_18556,refute_0_18557]) ).
cnf(refute_0_18559,plain,
and(and(X_220,t1),and(carry,xor(carry,t1))) = and(carry,and(X_220,and(t1,xor(carry,t1)))),
inference(resolve,[$cnf( $equal(and(carry,and(and(X_220,t1),xor(carry,t1))),and(carry,and(X_220,and(t1,xor(carry,t1))))) )],[refute_0_18555,refute_0_18558]) ).
cnf(refute_0_18560,plain,
( and(and(X_220,t1),and(carry,xor(carry,t1))) != and(X_220,ll0)
| and(and(X_220,t1),and(carry,xor(carry,t1))) != and(carry,and(X_220,and(t1,xor(carry,t1))))
| and(carry,and(X_220,and(t1,xor(carry,t1)))) = and(X_220,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X_220,t1),and(carry,xor(carry,t1))),and(X_220,ll0)) ),[0],$fot(and(carry,and(X_220,and(t1,xor(carry,t1)))))]]) ).
cnf(refute_0_18561,plain,
( and(and(X_220,t1),and(carry,xor(carry,t1))) != and(X_220,ll0)
| and(carry,and(X_220,and(t1,xor(carry,t1)))) = and(X_220,ll0) ),
inference(resolve,[$cnf( $equal(and(and(X_220,t1),and(carry,xor(carry,t1))),and(carry,and(X_220,and(t1,xor(carry,t1))))) )],[refute_0_18559,refute_0_18560]) ).
cnf(refute_0_18562,plain,
( and(X_220,ll0) != ll0
| and(carry,and(X_220,and(t1,xor(carry,t1)))) != and(X_220,ll0)
| and(carry,and(X_220,and(t1,xor(carry,t1)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,and(X_220,and(t1,xor(carry,t1)))),and(X_220,ll0)) ),[1],$fot(ll0)]]) ).
cnf(refute_0_18563,plain,
( and(carry,and(X_220,and(t1,xor(carry,t1)))) != and(X_220,ll0)
| and(carry,and(X_220,and(t1,xor(carry,t1)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(X_220,ll0),ll0) )],[refute_0_3381,refute_0_18562]) ).
cnf(refute_0_18564,plain,
( and(and(X_220,t1),and(carry,xor(carry,t1))) != and(X_220,ll0)
| and(carry,and(X_220,and(t1,xor(carry,t1)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(carry,and(X_220,and(t1,xor(carry,t1)))),and(X_220,ll0)) )],[refute_0_18561,refute_0_18563]) ).
cnf(refute_0_18565,plain,
and(carry,and(X_220,and(t1,xor(carry,t1)))) = ll0,
inference(resolve,[$cnf( $equal(and(and(X_220,t1),and(carry,xor(carry,t1))),and(X_220,ll0)) )],[refute_0_18550,refute_0_18564]) ).
cnf(refute_0_18566,plain,
and(carry,and(a,and(t1,xor(carry,t1)))) = ll0,
inference(subst,[],[refute_0_18565:[bind(X_220,$fot(a))]]) ).
cnf(refute_0_18567,plain,
and(not(t2),xor(carry,t1)) = and(a,and(t1,xor(carry,t1))),
inference(subst,[],[refute_0_1927:[bind(X_222,$fot(xor(carry,t1)))]]) ).
cnf(refute_0_18568,plain,
( and(not(t2),xor(carry,t1)) != and(a,and(t1,xor(carry,t1)))
| and(a,and(t1,xor(carry,t1))) = and(not(t2),xor(carry,t1)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t2),xor(carry,t1)))),bind(Y0,$fot(and(a,and(t1,xor(carry,t1)))))]]) ).
cnf(refute_0_18569,plain,
and(a,and(t1,xor(carry,t1))) = and(not(t2),xor(carry,t1)),
inference(resolve,[$cnf( $equal(and(not(t2),xor(carry,t1)),and(a,and(t1,xor(carry,t1)))) )],[refute_0_18567,refute_0_18568]) ).
cnf(refute_0_18570,plain,
( and(a,and(t1,xor(carry,t1))) != and(not(t2),xor(carry,t1))
| and(carry,and(a,and(t1,xor(carry,t1)))) != ll0
| and(carry,and(not(t2),xor(carry,t1))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,and(a,and(t1,xor(carry,t1)))),ll0) ),[0,1],$fot(and(not(t2),xor(carry,t1)))]]) ).
cnf(refute_0_18571,plain,
( and(carry,and(a,and(t1,xor(carry,t1)))) != ll0
| and(carry,and(not(t2),xor(carry,t1))) = ll0 ),
inference(resolve,[$cnf( $equal(and(a,and(t1,xor(carry,t1))),and(not(t2),xor(carry,t1))) )],[refute_0_18569,refute_0_18570]) ).
cnf(refute_0_18572,plain,
and(carry,and(not(t2),xor(carry,t1))) = ll0,
inference(resolve,[$cnf( $equal(and(carry,and(a,and(t1,xor(carry,t1)))),ll0) )],[refute_0_18566,refute_0_18571]) ).
cnf(refute_0_18573,plain,
not(or(X,and(carry,t1))) = and(not(X),not(and(carry,t1))),
inference(subst,[],[or_demorgan:[bind(Y,$fot(and(carry,t1)))]]) ).
cnf(refute_0_18574,plain,
( not(and(carry,t1)) != xor(carry,t1)
| not(or(X,and(carry,t1))) != and(not(X),not(and(carry,t1)))
| not(or(X,and(carry,t1))) = and(not(X),xor(carry,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,and(carry,t1))),and(not(X),not(and(carry,t1)))) ),[1,1],$fot(xor(carry,t1))]]) ).
cnf(refute_0_18575,plain,
( not(or(X,and(carry,t1))) != and(not(X),not(and(carry,t1)))
| not(or(X,and(carry,t1))) = and(not(X),xor(carry,t1)) ),
inference(resolve,[$cnf( $equal(not(and(carry,t1)),xor(carry,t1)) )],[refute_0_11689,refute_0_18574]) ).
cnf(refute_0_18576,plain,
not(or(X,and(carry,t1))) = and(not(X),xor(carry,t1)),
inference(resolve,[$cnf( $equal(not(or(X,and(carry,t1))),and(not(X),not(and(carry,t1)))) )],[refute_0_18573,refute_0_18575]) ).
cnf(refute_0_18577,plain,
( not(or(X,and(carry,t1))) != and(not(X),xor(carry,t1))
| and(not(X),xor(carry,t1)) = not(or(X,and(carry,t1))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X,and(carry,t1))))),bind(Y0,$fot(and(not(X),xor(carry,t1))))]]) ).
cnf(refute_0_18578,plain,
and(not(X),xor(carry,t1)) = not(or(X,and(carry,t1))),
inference(resolve,[$cnf( $equal(not(or(X,and(carry,t1))),and(not(X),xor(carry,t1))) )],[refute_0_18576,refute_0_18577]) ).
cnf(refute_0_18579,plain,
and(not(t2),xor(carry,t1)) = not(or(t2,and(carry,t1))),
inference(subst,[],[refute_0_18578:[bind(X,$fot(t2))]]) ).
cnf(refute_0_18580,plain,
and(carry,and(not(t2),xor(carry,t1))) = and(carry,and(not(t2),xor(carry,t1))),
introduced(tautology,[refl,[$fot(and(carry,and(not(t2),xor(carry,t1))))]]) ).
cnf(refute_0_18581,plain,
( and(carry,and(not(t2),xor(carry,t1))) != and(carry,and(not(t2),xor(carry,t1)))
| and(not(t2),xor(carry,t1)) != not(or(t2,and(carry,t1)))
| and(carry,and(not(t2),xor(carry,t1))) = and(carry,not(or(t2,and(carry,t1)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,and(not(t2),xor(carry,t1))),and(carry,and(not(t2),xor(carry,t1)))) ),[1,1],$fot(not(or(t2,and(carry,t1))))]]) ).
cnf(refute_0_18582,plain,
( and(not(t2),xor(carry,t1)) != not(or(t2,and(carry,t1)))
| and(carry,and(not(t2),xor(carry,t1))) = and(carry,not(or(t2,and(carry,t1)))) ),
inference(resolve,[$cnf( $equal(and(carry,and(not(t2),xor(carry,t1))),and(carry,and(not(t2),xor(carry,t1)))) )],[refute_0_18580,refute_0_18581]) ).
cnf(refute_0_18583,plain,
and(carry,and(not(t2),xor(carry,t1))) = and(carry,not(or(t2,and(carry,t1)))),
inference(resolve,[$cnf( $equal(and(not(t2),xor(carry,t1)),not(or(t2,and(carry,t1)))) )],[refute_0_18579,refute_0_18582]) ).
cnf(refute_0_18584,plain,
( and(carry,and(not(t2),xor(carry,t1))) != and(carry,not(or(t2,and(carry,t1))))
| and(carry,and(not(t2),xor(carry,t1))) != ll0
| and(carry,not(or(t2,and(carry,t1)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,and(not(t2),xor(carry,t1))),ll0) ),[0],$fot(and(carry,not(or(t2,and(carry,t1)))))]]) ).
cnf(refute_0_18585,plain,
( and(carry,and(not(t2),xor(carry,t1))) != ll0
| and(carry,not(or(t2,and(carry,t1)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(carry,and(not(t2),xor(carry,t1))),and(carry,not(or(t2,and(carry,t1))))) )],[refute_0_18583,refute_0_18584]) ).
cnf(refute_0_18586,plain,
and(carry,not(or(t2,and(carry,t1)))) = ll0,
inference(resolve,[$cnf( $equal(and(carry,and(not(t2),xor(carry,t1))),ll0) )],[refute_0_18572,refute_0_18585]) ).
cnf(refute_0_18587,plain,
( and(carry,not(or(t2,and(carry,t1)))) != ll0
| or(and(carry,not(or(t2,and(carry,t1)))),and(not(carry),or(t2,and(carry,t1)))) != xor(carry,or(t2,and(carry,t1)))
| or(ll0,and(not(carry),or(t2,and(carry,t1)))) = xor(carry,or(t2,and(carry,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(carry,not(or(t2,and(carry,t1)))),and(not(carry),or(t2,and(carry,t1)))),xor(carry,or(t2,and(carry,t1)))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_18588,plain,
( or(and(carry,not(or(t2,and(carry,t1)))),and(not(carry),or(t2,and(carry,t1)))) != xor(carry,or(t2,and(carry,t1)))
| or(ll0,and(not(carry),or(t2,and(carry,t1)))) = xor(carry,or(t2,and(carry,t1))) ),
inference(resolve,[$cnf( $equal(and(carry,not(or(t2,and(carry,t1)))),ll0) )],[refute_0_18586,refute_0_18587]) ).
cnf(refute_0_18589,plain,
or(ll0,and(not(carry),or(t2,and(carry,t1)))) = xor(carry,or(t2,and(carry,t1))),
inference(resolve,[$cnf( $equal(or(and(carry,not(or(t2,and(carry,t1)))),and(not(carry),or(t2,and(carry,t1)))),xor(carry,or(t2,and(carry,t1)))) )],[refute_0_18522,refute_0_18588]) ).
cnf(refute_0_18590,plain,
or(ll0,and(not(carry),or(t2,and(carry,t1)))) = and(not(carry),or(t2,and(carry,t1))),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(carry),or(t2,and(carry,t1)))))]]) ).
cnf(refute_0_18591,plain,
( or(ll0,and(not(carry),or(t2,and(carry,t1)))) != and(not(carry),or(t2,and(carry,t1)))
| or(ll0,and(not(carry),or(t2,and(carry,t1)))) != xor(carry,or(t2,and(carry,t1)))
| and(not(carry),or(t2,and(carry,t1))) = xor(carry,or(t2,and(carry,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(carry),or(t2,and(carry,t1)))),xor(carry,or(t2,and(carry,t1)))) ),[0],$fot(and(not(carry),or(t2,and(carry,t1))))]]) ).
cnf(refute_0_18592,plain,
( or(ll0,and(not(carry),or(t2,and(carry,t1)))) != xor(carry,or(t2,and(carry,t1)))
| and(not(carry),or(t2,and(carry,t1))) = xor(carry,or(t2,and(carry,t1))) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(carry),or(t2,and(carry,t1)))),and(not(carry),or(t2,and(carry,t1)))) )],[refute_0_18590,refute_0_18591]) ).
cnf(refute_0_18593,plain,
and(not(carry),or(t2,and(carry,t1))) = xor(carry,or(t2,and(carry,t1))),
inference(resolve,[$cnf( $equal(or(ll0,and(not(carry),or(t2,and(carry,t1)))),xor(carry,or(t2,and(carry,t1)))) )],[refute_0_18589,refute_0_18592]) ).
cnf(refute_0_18594,plain,
( and(not(carry),or(t2,and(carry,t1))) != and(t1,and(not(carry),or(t2,and(carry,t1))))
| and(not(carry),or(t2,and(carry,t1))) != xor(carry,or(t2,and(carry,t1)))
| and(not(carry),or(t2,and(carry,t1))) = and(t1,xor(carry,or(t2,and(carry,t1)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),or(t2,and(carry,t1))),and(t1,and(not(carry),or(t2,and(carry,t1))))) ),[1,1],$fot(xor(carry,or(t2,and(carry,t1))))]]) ).
cnf(refute_0_18595,plain,
( and(not(carry),or(t2,and(carry,t1))) != and(t1,and(not(carry),or(t2,and(carry,t1))))
| and(not(carry),or(t2,and(carry,t1))) = and(t1,xor(carry,or(t2,and(carry,t1)))) ),
inference(resolve,[$cnf( $equal(and(not(carry),or(t2,and(carry,t1))),xor(carry,or(t2,and(carry,t1)))) )],[refute_0_18593,refute_0_18594]) ).
cnf(refute_0_18596,plain,
and(not(carry),or(t2,and(carry,t1))) = and(t1,xor(carry,or(t2,and(carry,t1)))),
inference(resolve,[$cnf( $equal(and(not(carry),or(t2,and(carry,t1))),and(t1,and(not(carry),or(t2,and(carry,t1))))) )],[refute_0_18521,refute_0_18595]) ).
cnf(refute_0_18597,plain,
( and(not(carry),or(t2,and(carry,t1))) != and(t1,xor(carry,or(t2,and(carry,t1))))
| and(not(carry),or(t2,and(carry,t1))) != xor(carry,or(t2,and(carry,t1)))
| xor(carry,or(t2,and(carry,t1))) = and(t1,xor(carry,or(t2,and(carry,t1)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),or(t2,and(carry,t1))),and(t1,xor(carry,or(t2,and(carry,t1))))) ),[0],$fot(xor(carry,or(t2,and(carry,t1))))]]) ).
cnf(refute_0_18598,plain,
( and(not(carry),or(t2,and(carry,t1))) != and(t1,xor(carry,or(t2,and(carry,t1))))
| xor(carry,or(t2,and(carry,t1))) = and(t1,xor(carry,or(t2,and(carry,t1)))) ),
inference(resolve,[$cnf( $equal(and(not(carry),or(t2,and(carry,t1))),xor(carry,or(t2,and(carry,t1)))) )],[refute_0_18593,refute_0_18597]) ).
cnf(refute_0_18599,plain,
xor(carry,or(t2,and(carry,t1))) = and(t1,xor(carry,or(t2,and(carry,t1)))),
inference(resolve,[$cnf( $equal(and(not(carry),or(t2,and(carry,t1))),and(t1,xor(carry,or(t2,and(carry,t1))))) )],[refute_0_18596,refute_0_18598]) ).
cnf(refute_0_18600,plain,
not(and(not(t2),t5)) = not(and(t5,not(t2))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(t5)),bind(X_32,$fot(not(t2)))]]) ).
cnf(refute_0_18601,plain,
( and(t5,not(t2)) != not(or(carry,t2))
| not(and(not(t2),t5)) != not(and(t5,not(t2)))
| not(and(not(t2),t5)) = not(not(or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t2),t5)),not(and(t5,not(t2)))) ),[1,0],$fot(not(or(carry,t2)))]]) ).
cnf(refute_0_18602,plain,
( not(and(not(t2),t5)) != not(and(t5,not(t2)))
| not(and(not(t2),t5)) = not(not(or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(t5,not(t2)),not(or(carry,t2))) )],[refute_0_5015,refute_0_18601]) ).
cnf(refute_0_18603,plain,
not(and(not(t2),t5)) = not(not(or(carry,t2))),
inference(resolve,[$cnf( $equal(not(and(not(t2),t5)),not(and(t5,not(t2)))) )],[refute_0_18600,refute_0_18602]) ).
cnf(refute_0_18604,plain,
not(and(not(t2),t5)) = or(t2,not(t5)),
inference(subst,[],[refute_0_787:[bind(X,$fot(t2)),bind(X_32,$fot(t5))]]) ).
cnf(refute_0_18605,plain,
( not(and(not(t2),t5)) != not(not(or(carry,t2)))
| not(and(not(t2),t5)) != or(t2,not(t5))
| or(t2,not(t5)) = not(not(or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t2),t5)),not(not(or(carry,t2)))) ),[0],$fot(or(t2,not(t5)))]]) ).
cnf(refute_0_18606,plain,
( not(and(not(t2),t5)) != not(not(or(carry,t2)))
| or(t2,not(t5)) = not(not(or(carry,t2))) ),
inference(resolve,[$cnf( $equal(not(and(not(t2),t5)),or(t2,not(t5))) )],[refute_0_18604,refute_0_18605]) ).
cnf(refute_0_18607,plain,
not(not(or(carry,t2))) = or(carry,t2),
inference(subst,[],[not_involution:[bind(X,$fot(or(carry,t2)))]]) ).
cnf(refute_0_18608,plain,
( not(not(or(carry,t2))) != or(carry,t2)
| or(t2,not(t5)) != not(not(or(carry,t2)))
| or(t2,not(t5)) = or(carry,t2) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,not(t5)),not(not(or(carry,t2)))) ),[1],$fot(or(carry,t2))]]) ).
cnf(refute_0_18609,plain,
( or(t2,not(t5)) != not(not(or(carry,t2)))
| or(t2,not(t5)) = or(carry,t2) ),
inference(resolve,[$cnf( $equal(not(not(or(carry,t2))),or(carry,t2)) )],[refute_0_18607,refute_0_18608]) ).
cnf(refute_0_18610,plain,
( not(and(not(t2),t5)) != not(not(or(carry,t2)))
| or(t2,not(t5)) = or(carry,t2) ),
inference(resolve,[$cnf( $equal(or(t2,not(t5)),not(not(or(carry,t2)))) )],[refute_0_18606,refute_0_18609]) ).
cnf(refute_0_18611,plain,
or(t2,not(t5)) = or(carry,t2),
inference(resolve,[$cnf( $equal(not(and(not(t2),t5)),not(not(or(carry,t2)))) )],[refute_0_18603,refute_0_18610]) ).
cnf(refute_0_18612,plain,
or(t2,and(carry,t1)) = or(t2,and(carry,t1)),
introduced(tautology,[refl,[$fot(or(t2,and(carry,t1)))]]) ).
cnf(refute_0_18613,plain,
( and(carry,t1) != not(t5)
| or(t2,and(carry,t1)) != or(t2,and(carry,t1))
| or(t2,and(carry,t1)) = or(t2,not(t5)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,and(carry,t1)),or(t2,and(carry,t1))) ),[1,1],$fot(not(t5))]]) ).
cnf(refute_0_18614,plain,
( and(carry,t1) != not(t5)
| or(t2,and(carry,t1)) = or(t2,not(t5)) ),
inference(resolve,[$cnf( $equal(or(t2,and(carry,t1)),or(t2,and(carry,t1))) )],[refute_0_18612,refute_0_18613]) ).
cnf(refute_0_18615,plain,
or(t2,and(carry,t1)) = or(t2,not(t5)),
inference(resolve,[$cnf( $equal(and(carry,t1),not(t5)) )],[refute_0_11697,refute_0_18614]) ).
cnf(refute_0_18616,plain,
( or(t2,and(carry,t1)) != or(t2,not(t5))
| or(t2,not(t5)) != or(carry,t2)
| or(t2,and(carry,t1)) = or(carry,t2) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t2,and(carry,t1)))),bind(Y0,$fot(or(t2,not(t5)))),bind(Z0,$fot(or(carry,t2)))]]) ).
cnf(refute_0_18617,plain,
( or(t2,not(t5)) != or(carry,t2)
| or(t2,and(carry,t1)) = or(carry,t2) ),
inference(resolve,[$cnf( $equal(or(t2,and(carry,t1)),or(t2,not(t5))) )],[refute_0_18615,refute_0_18616]) ).
cnf(refute_0_18618,plain,
or(t2,and(carry,t1)) = or(carry,t2),
inference(resolve,[$cnf( $equal(or(t2,not(t5)),or(carry,t2)) )],[refute_0_18611,refute_0_18617]) ).
cnf(refute_0_18619,plain,
xor(carry,or(t2,and(carry,t1))) = xor(carry,or(t2,and(carry,t1))),
introduced(tautology,[refl,[$fot(xor(carry,or(t2,and(carry,t1))))]]) ).
cnf(refute_0_18620,plain,
( or(t2,and(carry,t1)) != or(carry,t2)
| xor(carry,or(t2,and(carry,t1))) != xor(carry,or(t2,and(carry,t1)))
| xor(carry,or(t2,and(carry,t1))) = xor(carry,or(carry,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,or(t2,and(carry,t1))),xor(carry,or(t2,and(carry,t1)))) ),[1,1],$fot(or(carry,t2))]]) ).
cnf(refute_0_18621,plain,
( or(t2,and(carry,t1)) != or(carry,t2)
| xor(carry,or(t2,and(carry,t1))) = xor(carry,or(carry,t2)) ),
inference(resolve,[$cnf( $equal(xor(carry,or(t2,and(carry,t1))),xor(carry,or(t2,and(carry,t1)))) )],[refute_0_18619,refute_0_18620]) ).
cnf(refute_0_18622,plain,
xor(carry,or(t2,and(carry,t1))) = xor(carry,or(carry,t2)),
inference(resolve,[$cnf( $equal(or(t2,and(carry,t1)),or(carry,t2)) )],[refute_0_18618,refute_0_18621]) ).
cnf(refute_0_18623,plain,
( xor(carry,or(t2,and(carry,t1))) != and(t1,xor(carry,or(t2,and(carry,t1))))
| xor(carry,or(t2,and(carry,t1))) != xor(carry,or(carry,t2))
| xor(carry,or(carry,t2)) = and(t1,xor(carry,or(t2,and(carry,t1)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,or(t2,and(carry,t1))),and(t1,xor(carry,or(t2,and(carry,t1))))) ),[0],$fot(xor(carry,or(carry,t2)))]]) ).
cnf(refute_0_18624,plain,
( xor(carry,or(t2,and(carry,t1))) != and(t1,xor(carry,or(t2,and(carry,t1))))
| xor(carry,or(carry,t2)) = and(t1,xor(carry,or(t2,and(carry,t1)))) ),
inference(resolve,[$cnf( $equal(xor(carry,or(t2,and(carry,t1))),xor(carry,or(carry,t2))) )],[refute_0_18622,refute_0_18623]) ).
cnf(refute_0_18625,plain,
and(t1,xor(carry,or(t2,and(carry,t1)))) = and(t1,xor(carry,or(t2,and(carry,t1)))),
introduced(tautology,[refl,[$fot(and(t1,xor(carry,or(t2,and(carry,t1)))))]]) ).
cnf(refute_0_18626,plain,
( and(t1,xor(carry,or(t2,and(carry,t1)))) != and(t1,xor(carry,or(t2,and(carry,t1))))
| xor(carry,or(t2,and(carry,t1))) != xor(carry,or(carry,t2))
| and(t1,xor(carry,or(t2,and(carry,t1)))) = and(t1,xor(carry,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,xor(carry,or(t2,and(carry,t1)))),and(t1,xor(carry,or(t2,and(carry,t1))))) ),[1,1],$fot(xor(carry,or(carry,t2)))]]) ).
cnf(refute_0_18627,plain,
( xor(carry,or(t2,and(carry,t1))) != xor(carry,or(carry,t2))
| and(t1,xor(carry,or(t2,and(carry,t1)))) = and(t1,xor(carry,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(t1,xor(carry,or(t2,and(carry,t1)))),and(t1,xor(carry,or(t2,and(carry,t1))))) )],[refute_0_18625,refute_0_18626]) ).
cnf(refute_0_18628,plain,
and(t1,xor(carry,or(t2,and(carry,t1)))) = and(t1,xor(carry,or(carry,t2))),
inference(resolve,[$cnf( $equal(xor(carry,or(t2,and(carry,t1))),xor(carry,or(carry,t2))) )],[refute_0_18622,refute_0_18627]) ).
cnf(refute_0_18629,plain,
( and(t1,xor(carry,or(t2,and(carry,t1)))) != and(t1,xor(carry,or(carry,t2)))
| xor(carry,or(carry,t2)) != and(t1,xor(carry,or(t2,and(carry,t1))))
| xor(carry,or(carry,t2)) = and(t1,xor(carry,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,or(carry,t2)),and(t1,xor(carry,or(t2,and(carry,t1))))) ),[1],$fot(and(t1,xor(carry,or(carry,t2))))]]) ).
cnf(refute_0_18630,plain,
( xor(carry,or(carry,t2)) != and(t1,xor(carry,or(t2,and(carry,t1))))
| xor(carry,or(carry,t2)) = and(t1,xor(carry,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(t1,xor(carry,or(t2,and(carry,t1)))),and(t1,xor(carry,or(carry,t2)))) )],[refute_0_18628,refute_0_18629]) ).
cnf(refute_0_18631,plain,
( xor(carry,or(t2,and(carry,t1))) != and(t1,xor(carry,or(t2,and(carry,t1))))
| xor(carry,or(carry,t2)) = and(t1,xor(carry,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(xor(carry,or(carry,t2)),and(t1,xor(carry,or(t2,and(carry,t1))))) )],[refute_0_18624,refute_0_18630]) ).
cnf(refute_0_18632,plain,
xor(carry,or(carry,t2)) = and(t1,xor(carry,or(carry,t2))),
inference(resolve,[$cnf( $equal(xor(carry,or(t2,and(carry,t1))),and(t1,xor(carry,or(t2,and(carry,t1))))) )],[refute_0_18599,refute_0_18631]) ).
cnf(refute_0_18633,plain,
( xor(carry,or(carry,t2)) != and(t1,xor(carry,or(carry,t2)))
| and(t1,xor(carry,or(carry,t2))) = xor(carry,or(carry,t2)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(carry,or(carry,t2)))),bind(Y0,$fot(and(t1,xor(carry,or(carry,t2)))))]]) ).
cnf(refute_0_18634,plain,
and(t1,xor(carry,or(carry,t2))) = xor(carry,or(carry,t2)),
inference(resolve,[$cnf( $equal(xor(carry,or(carry,t2)),and(t1,xor(carry,or(carry,t2)))) )],[refute_0_18632,refute_0_18633]) ).
cnf(refute_0_18635,plain,
( and(t1,xor(carry,or(carry,t2))) != xor(carry,or(carry,t2))
| ll1 != or(t1,not(and(t1,xor(carry,or(carry,t2)))))
| ll1 = or(t1,not(xor(carry,or(carry,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t1,not(and(t1,xor(carry,or(carry,t2)))))) ),[1,1,0],$fot(xor(carry,or(carry,t2)))]]) ).
cnf(refute_0_18636,plain,
( ll1 != or(t1,not(and(t1,xor(carry,or(carry,t2)))))
| ll1 = or(t1,not(xor(carry,or(carry,t2)))) ),
inference(resolve,[$cnf( $equal(and(t1,xor(carry,or(carry,t2))),xor(carry,or(carry,t2))) )],[refute_0_18634,refute_0_18635]) ).
cnf(refute_0_18637,plain,
ll1 = or(t1,not(xor(carry,or(carry,t2)))),
inference(resolve,[$cnf( $equal(ll1,or(t1,not(and(t1,xor(carry,or(carry,t2)))))) )],[refute_0_18520,refute_0_18636]) ).
cnf(refute_0_18638,plain,
( ll1 != or(t1,not(xor(carry,or(carry,t2))))
| or(t1,not(xor(carry,or(carry,t2)))) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(t1,not(xor(carry,or(carry,t2))))))]]) ).
cnf(refute_0_18639,plain,
or(t1,not(xor(carry,or(carry,t2)))) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(t1,not(xor(carry,or(carry,t2))))) )],[refute_0_18637,refute_0_18638]) ).
cnf(refute_0_18640,plain,
( and(or(t1,not(xor(carry,or(carry,t2)))),not(or(not(xor(carry,or(carry,t2))),t1))) != ll0
| or(t1,not(xor(carry,or(carry,t2)))) != ll1
| and(ll1,not(or(not(xor(carry,or(carry,t2))),t1))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(t1,not(xor(carry,or(carry,t2)))),not(or(not(xor(carry,or(carry,t2))),t1))),ll0) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_18641,plain,
( and(or(t1,not(xor(carry,or(carry,t2)))),not(or(not(xor(carry,or(carry,t2))),t1))) != ll0
| and(ll1,not(or(not(xor(carry,or(carry,t2))),t1))) = ll0 ),
inference(resolve,[$cnf( $equal(or(t1,not(xor(carry,or(carry,t2)))),ll1) )],[refute_0_18639,refute_0_18640]) ).
cnf(refute_0_18642,plain,
and(ll1,not(or(not(xor(carry,or(carry,t2))),t1))) = ll0,
inference(resolve,[$cnf( $equal(and(or(t1,not(xor(carry,or(carry,t2)))),not(or(not(xor(carry,or(carry,t2))),t1))),ll0) )],[refute_0_18519,refute_0_18641]) ).
cnf(refute_0_18643,plain,
not(or(t1,not(xor(carry,or(carry,t2))))) = and(not(t1),xor(carry,or(carry,t2))),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(carry,or(carry,t2)))),bind(X_25,$fot(t1))]]) ).
cnf(refute_0_18644,plain,
and(ll1,not(or(t1,not(xor(carry,or(carry,t2)))))) = not(or(t1,not(xor(carry,or(carry,t2))))),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(or(t1,not(xor(carry,or(carry,t2)))))))]]) ).
cnf(refute_0_18645,plain,
( and(ll1,not(or(t1,not(xor(carry,or(carry,t2)))))) != not(or(t1,not(xor(carry,or(carry,t2)))))
| not(or(t1,not(xor(carry,or(carry,t2))))) != and(not(t1),xor(carry,or(carry,t2)))
| and(ll1,not(or(t1,not(xor(carry,or(carry,t2)))))) = and(not(t1),xor(carry,or(carry,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(t1,not(xor(carry,or(carry,t2)))))))),bind(Y0,$fot(not(or(t1,not(xor(carry,or(carry,t2))))))),bind(Z0,$fot(and(not(t1),xor(carry,or(carry,t2)))))]]) ).
cnf(refute_0_18646,plain,
( not(or(t1,not(xor(carry,or(carry,t2))))) != and(not(t1),xor(carry,or(carry,t2)))
| and(ll1,not(or(t1,not(xor(carry,or(carry,t2)))))) = and(not(t1),xor(carry,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t1,not(xor(carry,or(carry,t2)))))),not(or(t1,not(xor(carry,or(carry,t2)))))) )],[refute_0_18644,refute_0_18645]) ).
cnf(refute_0_18647,plain,
and(ll1,not(or(t1,not(xor(carry,or(carry,t2)))))) = and(not(t1),xor(carry,or(carry,t2))),
inference(resolve,[$cnf( $equal(not(or(t1,not(xor(carry,or(carry,t2))))),and(not(t1),xor(carry,or(carry,t2)))) )],[refute_0_18643,refute_0_18646]) ).
cnf(refute_0_18648,plain,
and(ll1,not(or(not(xor(carry,or(carry,t2))),t1))) = and(ll1,not(or(t1,not(xor(carry,or(carry,t2)))))),
inference(subst,[],[refute_0_815:[bind(X_25,$fot(t1)),bind(X_26,$fot(not(xor(carry,or(carry,t2))))),bind(X_29,$fot(ll1))]]) ).
cnf(refute_0_18649,plain,
( and(ll1,not(or(not(xor(carry,or(carry,t2))),t1))) != and(ll1,not(or(t1,not(xor(carry,or(carry,t2))))))
| and(ll1,not(or(t1,not(xor(carry,or(carry,t2)))))) != and(not(t1),xor(carry,or(carry,t2)))
| and(ll1,not(or(not(xor(carry,or(carry,t2))),t1))) = and(not(t1),xor(carry,or(carry,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(xor(carry,or(carry,t2))),t1))))),bind(Y0,$fot(and(ll1,not(or(t1,not(xor(carry,or(carry,t2)))))))),bind(Z0,$fot(and(not(t1),xor(carry,or(carry,t2)))))]]) ).
cnf(refute_0_18650,plain,
( and(ll1,not(or(t1,not(xor(carry,or(carry,t2)))))) != and(not(t1),xor(carry,or(carry,t2)))
| and(ll1,not(or(not(xor(carry,or(carry,t2))),t1))) = and(not(t1),xor(carry,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(carry,or(carry,t2))),t1))),and(ll1,not(or(t1,not(xor(carry,or(carry,t2))))))) )],[refute_0_18648,refute_0_18649]) ).
cnf(refute_0_18651,plain,
and(ll1,not(or(not(xor(carry,or(carry,t2))),t1))) = and(not(t1),xor(carry,or(carry,t2))),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t1,not(xor(carry,or(carry,t2)))))),and(not(t1),xor(carry,or(carry,t2)))) )],[refute_0_18647,refute_0_18650]) ).
cnf(refute_0_18652,plain,
( and(ll1,not(or(not(xor(carry,or(carry,t2))),t1))) != and(not(t1),xor(carry,or(carry,t2)))
| and(ll1,not(or(not(xor(carry,or(carry,t2))),t1))) != ll0
| and(not(t1),xor(carry,or(carry,t2))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(ll1,not(or(not(xor(carry,or(carry,t2))),t1))),ll0) ),[0],$fot(and(not(t1),xor(carry,or(carry,t2))))]]) ).
cnf(refute_0_18653,plain,
( and(ll1,not(or(not(xor(carry,or(carry,t2))),t1))) != ll0
| and(not(t1),xor(carry,or(carry,t2))) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(carry,or(carry,t2))),t1))),and(not(t1),xor(carry,or(carry,t2)))) )],[refute_0_18651,refute_0_18652]) ).
cnf(refute_0_18654,plain,
and(not(t1),xor(carry,or(carry,t2))) = ll0,
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(carry,or(carry,t2))),t1))),ll0) )],[refute_0_18642,refute_0_18653]) ).
cnf(refute_0_18655,plain,
( and(not(t1),xor(carry,or(carry,t2))) != ll0
| or(and(t1,not(xor(carry,or(carry,t2)))),and(not(t1),xor(carry,or(carry,t2)))) != xor(t1,xor(carry,or(carry,t2)))
| or(and(t1,not(xor(carry,or(carry,t2)))),ll0) = xor(t1,xor(carry,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t1,not(xor(carry,or(carry,t2)))),and(not(t1),xor(carry,or(carry,t2)))),xor(t1,xor(carry,or(carry,t2)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_18656,plain,
( or(and(t1,not(xor(carry,or(carry,t2)))),and(not(t1),xor(carry,or(carry,t2)))) != xor(t1,xor(carry,or(carry,t2)))
| or(and(t1,not(xor(carry,or(carry,t2)))),ll0) = xor(t1,xor(carry,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(not(t1),xor(carry,or(carry,t2))),ll0) )],[refute_0_18654,refute_0_18655]) ).
cnf(refute_0_18657,plain,
or(and(t1,not(xor(carry,or(carry,t2)))),ll0) = xor(t1,xor(carry,or(carry,t2))),
inference(resolve,[$cnf( $equal(or(and(t1,not(xor(carry,or(carry,t2)))),and(not(t1),xor(carry,or(carry,t2)))),xor(t1,xor(carry,or(carry,t2)))) )],[refute_0_18518,refute_0_18656]) ).
cnf(refute_0_18658,plain,
or(and(t1,not(xor(carry,or(carry,t2)))),ll0) = and(t1,not(xor(carry,or(carry,t2)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t1,not(xor(carry,or(carry,t2))))))]]) ).
cnf(refute_0_18659,plain,
( or(and(t1,not(xor(carry,or(carry,t2)))),ll0) != and(t1,not(xor(carry,or(carry,t2))))
| or(and(t1,not(xor(carry,or(carry,t2)))),ll0) != xor(t1,xor(carry,or(carry,t2)))
| and(t1,not(xor(carry,or(carry,t2)))) = xor(t1,xor(carry,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t1,not(xor(carry,or(carry,t2)))),ll0),xor(t1,xor(carry,or(carry,t2)))) ),[0],$fot(and(t1,not(xor(carry,or(carry,t2)))))]]) ).
cnf(refute_0_18660,plain,
( or(and(t1,not(xor(carry,or(carry,t2)))),ll0) != xor(t1,xor(carry,or(carry,t2)))
| and(t1,not(xor(carry,or(carry,t2)))) = xor(t1,xor(carry,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(or(and(t1,not(xor(carry,or(carry,t2)))),ll0),and(t1,not(xor(carry,or(carry,t2))))) )],[refute_0_18658,refute_0_18659]) ).
cnf(refute_0_18661,plain,
xor(carry,xor(t1,or(carry,t2))) = xor(t5,or(carry,t2)),
inference(subst,[],[refute_0_15437:[bind(Z,$fot(or(carry,t2)))]]) ).
cnf(refute_0_18662,plain,
xor(t1,xor(carry,or(carry,t2))) = xor(carry,xor(t1,or(carry,t2))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(carry)),bind(X_334,$fot(t1)),bind(X_335,$fot(or(carry,t2)))]]) ).
cnf(refute_0_18663,plain,
( xor(carry,xor(t1,or(carry,t2))) != xor(t5,or(carry,t2))
| xor(t1,xor(carry,or(carry,t2))) != xor(carry,xor(t1,or(carry,t2)))
| xor(t1,xor(carry,or(carry,t2))) = xor(t5,or(carry,t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t1,xor(carry,or(carry,t2))))),bind(Y0,$fot(xor(carry,xor(t1,or(carry,t2))))),bind(Z0,$fot(xor(t5,or(carry,t2))))]]) ).
cnf(refute_0_18664,plain,
( xor(carry,xor(t1,or(carry,t2))) != xor(t5,or(carry,t2))
| xor(t1,xor(carry,or(carry,t2))) = xor(t5,or(carry,t2)) ),
inference(resolve,[$cnf( $equal(xor(t1,xor(carry,or(carry,t2))),xor(carry,xor(t1,or(carry,t2)))) )],[refute_0_18662,refute_0_18663]) ).
cnf(refute_0_18665,plain,
xor(t1,xor(carry,or(carry,t2))) = xor(t5,or(carry,t2)),
inference(resolve,[$cnf( $equal(xor(carry,xor(t1,or(carry,t2))),xor(t5,or(carry,t2))) )],[refute_0_18661,refute_0_18664]) ).
cnf(refute_0_18666,plain,
( and(t1,not(xor(carry,or(carry,t2)))) != xor(t1,xor(carry,or(carry,t2)))
| xor(t1,xor(carry,or(carry,t2))) != xor(t5,or(carry,t2))
| and(t1,not(xor(carry,or(carry,t2)))) = xor(t5,or(carry,t2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t1,not(xor(carry,or(carry,t2)))),xor(t5,or(carry,t2))) ),[0],$fot(xor(t1,xor(carry,or(carry,t2))))]]) ).
cnf(refute_0_18667,plain,
( and(t1,not(xor(carry,or(carry,t2)))) != xor(t1,xor(carry,or(carry,t2)))
| and(t1,not(xor(carry,or(carry,t2)))) = xor(t5,or(carry,t2)) ),
inference(resolve,[$cnf( $equal(xor(t1,xor(carry,or(carry,t2))),xor(t5,or(carry,t2))) )],[refute_0_18665,refute_0_18666]) ).
cnf(refute_0_18668,plain,
( or(and(t1,not(xor(carry,or(carry,t2)))),ll0) != xor(t1,xor(carry,or(carry,t2)))
| and(t1,not(xor(carry,or(carry,t2)))) = xor(t5,or(carry,t2)) ),
inference(resolve,[$cnf( $equal(and(t1,not(xor(carry,or(carry,t2)))),xor(t1,xor(carry,or(carry,t2)))) )],[refute_0_18660,refute_0_18667]) ).
cnf(refute_0_18669,plain,
and(t1,not(xor(carry,or(carry,t2)))) = xor(t5,or(carry,t2)),
inference(resolve,[$cnf( $equal(or(and(t1,not(xor(carry,or(carry,t2)))),ll0),xor(t1,xor(carry,or(carry,t2)))) )],[refute_0_18657,refute_0_18668]) ).
cnf(refute_0_18670,plain,
( and(t1,not(xor(carry,or(carry,t2)))) != xor(t5,or(carry,t2))
| or(a,not(not(xor(carry,or(carry,t2))))) != or(a,not(and(t1,not(xor(carry,or(carry,t2))))))
| or(a,not(not(xor(carry,or(carry,t2))))) = or(a,not(xor(t5,or(carry,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(a,not(not(xor(carry,or(carry,t2))))),or(a,not(and(t1,not(xor(carry,or(carry,t2))))))) ),[1,1,0],$fot(xor(t5,or(carry,t2)))]]) ).
cnf(refute_0_18671,plain,
( or(a,not(not(xor(carry,or(carry,t2))))) != or(a,not(and(t1,not(xor(carry,or(carry,t2))))))
| or(a,not(not(xor(carry,or(carry,t2))))) = or(a,not(xor(t5,or(carry,t2)))) ),
inference(resolve,[$cnf( $equal(and(t1,not(xor(carry,or(carry,t2)))),xor(t5,or(carry,t2))) )],[refute_0_18669,refute_0_18670]) ).
cnf(refute_0_18672,plain,
or(a,not(not(xor(carry,or(carry,t2))))) = or(a,not(xor(t5,or(carry,t2)))),
inference(resolve,[$cnf( $equal(or(a,not(not(xor(carry,or(carry,t2))))),or(a,not(and(t1,not(xor(carry,or(carry,t2))))))) )],[refute_0_18517,refute_0_18671]) ).
cnf(refute_0_18673,plain,
not(not(xor(carry,or(carry,t2)))) = xor(carry,or(carry,t2)),
inference(subst,[],[not_involution:[bind(X,$fot(xor(carry,or(carry,t2))))]]) ).
cnf(refute_0_18674,plain,
or(a,not(not(xor(carry,or(carry,t2))))) = or(a,not(not(xor(carry,or(carry,t2))))),
introduced(tautology,[refl,[$fot(or(a,not(not(xor(carry,or(carry,t2))))))]]) ).
cnf(refute_0_18675,plain,
( not(not(xor(carry,or(carry,t2)))) != xor(carry,or(carry,t2))
| or(a,not(not(xor(carry,or(carry,t2))))) != or(a,not(not(xor(carry,or(carry,t2)))))
| or(a,not(not(xor(carry,or(carry,t2))))) = or(a,xor(carry,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(a,not(not(xor(carry,or(carry,t2))))),or(a,not(not(xor(carry,or(carry,t2)))))) ),[1,1],$fot(xor(carry,or(carry,t2)))]]) ).
cnf(refute_0_18676,plain,
( not(not(xor(carry,or(carry,t2)))) != xor(carry,or(carry,t2))
| or(a,not(not(xor(carry,or(carry,t2))))) = or(a,xor(carry,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(or(a,not(not(xor(carry,or(carry,t2))))),or(a,not(not(xor(carry,or(carry,t2)))))) )],[refute_0_18674,refute_0_18675]) ).
cnf(refute_0_18677,plain,
or(a,not(not(xor(carry,or(carry,t2))))) = or(a,xor(carry,or(carry,t2))),
inference(resolve,[$cnf( $equal(not(not(xor(carry,or(carry,t2)))),xor(carry,or(carry,t2))) )],[refute_0_18673,refute_0_18676]) ).
cnf(refute_0_18678,plain,
( or(a,not(not(xor(carry,or(carry,t2))))) != or(a,not(xor(t5,or(carry,t2))))
| or(a,not(not(xor(carry,or(carry,t2))))) != or(a,xor(carry,or(carry,t2)))
| or(a,xor(carry,or(carry,t2))) = or(a,not(xor(t5,or(carry,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(a,not(not(xor(carry,or(carry,t2))))),or(a,not(xor(t5,or(carry,t2))))) ),[0],$fot(or(a,xor(carry,or(carry,t2))))]]) ).
cnf(refute_0_18679,plain,
( or(a,not(not(xor(carry,or(carry,t2))))) != or(a,not(xor(t5,or(carry,t2))))
| or(a,xor(carry,or(carry,t2))) = or(a,not(xor(t5,or(carry,t2)))) ),
inference(resolve,[$cnf( $equal(or(a,not(not(xor(carry,or(carry,t2))))),or(a,xor(carry,or(carry,t2)))) )],[refute_0_18677,refute_0_18678]) ).
cnf(refute_0_18680,plain,
or(a,xor(carry,or(carry,t2))) = or(a,not(xor(t5,or(carry,t2)))),
inference(resolve,[$cnf( $equal(or(a,not(not(xor(carry,or(carry,t2))))),or(a,not(xor(t5,or(carry,t2))))) )],[refute_0_18672,refute_0_18679]) ).
cnf(refute_0_18681,plain,
( or(a,xor(carry,or(carry,t2))) != or(a,not(xor(t5,or(carry,t2))))
| or(a,not(xor(t5,or(carry,t2)))) = or(a,xor(carry,or(carry,t2))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(a,xor(carry,or(carry,t2))))),bind(Y0,$fot(or(a,not(xor(t5,or(carry,t2))))))]]) ).
cnf(refute_0_18682,plain,
or(a,not(xor(t5,or(carry,t2)))) = or(a,xor(carry,or(carry,t2))),
inference(resolve,[$cnf( $equal(or(a,xor(carry,or(carry,t2))),or(a,not(xor(t5,or(carry,t2))))) )],[refute_0_18680,refute_0_18681]) ).
cnf(refute_0_18683,plain,
( not(or(not(xor(t5,or(carry,t2))),a)) != not(or(a,not(xor(t5,or(carry,t2)))))
| or(a,not(xor(t5,or(carry,t2)))) != or(a,xor(carry,or(carry,t2)))
| not(or(not(xor(t5,or(carry,t2))),a)) = not(or(a,xor(carry,or(carry,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(xor(t5,or(carry,t2))),a)),not(or(a,not(xor(t5,or(carry,t2)))))) ),[1,0],$fot(or(a,xor(carry,or(carry,t2))))]]) ).
cnf(refute_0_18684,plain,
( not(or(not(xor(t5,or(carry,t2))),a)) != not(or(a,not(xor(t5,or(carry,t2)))))
| not(or(not(xor(t5,or(carry,t2))),a)) = not(or(a,xor(carry,or(carry,t2)))) ),
inference(resolve,[$cnf( $equal(or(a,not(xor(t5,or(carry,t2)))),or(a,xor(carry,or(carry,t2)))) )],[refute_0_18682,refute_0_18683]) ).
cnf(refute_0_18685,plain,
not(or(not(xor(t5,or(carry,t2))),a)) = not(or(a,xor(carry,or(carry,t2)))),
inference(resolve,[$cnf( $equal(not(or(not(xor(t5,or(carry,t2))),a)),not(or(a,not(xor(t5,or(carry,t2)))))) )],[refute_0_18516,refute_0_18684]) ).
cnf(refute_0_18686,plain,
not(or(a,not(xor(t5,or(carry,t2))))) = and(not(a),xor(t5,or(carry,t2))),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(t5,or(carry,t2)))),bind(X_25,$fot(a))]]) ).
cnf(refute_0_18687,plain,
( not(or(a,not(xor(t5,or(carry,t2))))) != and(not(a),xor(t5,or(carry,t2)))
| not(or(not(xor(t5,or(carry,t2))),a)) != not(or(a,not(xor(t5,or(carry,t2)))))
| not(or(not(xor(t5,or(carry,t2))),a)) = and(not(a),xor(t5,or(carry,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(not(xor(t5,or(carry,t2))),a)))),bind(Y0,$fot(not(or(a,not(xor(t5,or(carry,t2))))))),bind(Z0,$fot(and(not(a),xor(t5,or(carry,t2)))))]]) ).
cnf(refute_0_18688,plain,
( not(or(a,not(xor(t5,or(carry,t2))))) != and(not(a),xor(t5,or(carry,t2)))
| not(or(not(xor(t5,or(carry,t2))),a)) = and(not(a),xor(t5,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(not(or(not(xor(t5,or(carry,t2))),a)),not(or(a,not(xor(t5,or(carry,t2)))))) )],[refute_0_18516,refute_0_18687]) ).
cnf(refute_0_18689,plain,
not(or(not(xor(t5,or(carry,t2))),a)) = and(not(a),xor(t5,or(carry,t2))),
inference(resolve,[$cnf( $equal(not(or(a,not(xor(t5,or(carry,t2))))),and(not(a),xor(t5,or(carry,t2)))) )],[refute_0_18686,refute_0_18688]) ).
cnf(refute_0_18690,plain,
( not(or(not(xor(t5,or(carry,t2))),a)) != and(not(a),xor(t5,or(carry,t2)))
| not(or(not(xor(t5,or(carry,t2))),a)) != not(or(a,xor(carry,or(carry,t2))))
| and(not(a),xor(t5,or(carry,t2))) = not(or(a,xor(carry,or(carry,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(xor(t5,or(carry,t2))),a)),not(or(a,xor(carry,or(carry,t2))))) ),[0],$fot(and(not(a),xor(t5,or(carry,t2))))]]) ).
cnf(refute_0_18691,plain,
( not(or(not(xor(t5,or(carry,t2))),a)) != not(or(a,xor(carry,or(carry,t2))))
| and(not(a),xor(t5,or(carry,t2))) = not(or(a,xor(carry,or(carry,t2)))) ),
inference(resolve,[$cnf( $equal(not(or(not(xor(t5,or(carry,t2))),a)),and(not(a),xor(t5,or(carry,t2)))) )],[refute_0_18689,refute_0_18690]) ).
cnf(refute_0_18692,plain,
and(not(a),xor(t5,or(carry,t2))) = not(or(a,xor(carry,or(carry,t2)))),
inference(resolve,[$cnf( $equal(not(or(not(xor(t5,or(carry,t2))),a)),not(or(a,xor(carry,or(carry,t2))))) )],[refute_0_18685,refute_0_18691]) ).
cnf(refute_0_18693,plain,
or(or(b,t6),and(t2,or(b,t6))) = or(b,t6),
inference(subst,[],[refute_0_222:[bind(X_13,$fot(or(b,t6))),bind(X_14,$fot(t2))]]) ).
cnf(refute_0_18694,plain,
and(t2,or(t2,xor(t2,or(b,t6)))) = t2,
inference(subst,[],[and_absorption:[bind(X,$fot(t2)),bind(Y,$fot(xor(t2,or(b,t6))))]]) ).
cnf(refute_0_18695,plain,
or(and(t2,not(xor(t2,or(b,t6)))),and(not(t2),xor(t2,or(b,t6)))) = xor(t2,xor(t2,or(b,t6))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t2)),bind(Y,$fot(xor(t2,or(b,t6))))]]) ).
cnf(refute_0_18696,plain,
not(or(xor(t2,or(b,t6)),not(t2))) = not(or(not(t2),xor(t2,or(b,t6)))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(not(t2))),bind(X_26,$fot(xor(t2,or(b,t6))))]]) ).
cnf(refute_0_18697,plain,
or(not(t2),and(not(t2),or(b,t6))) = not(t2),
inference(subst,[],[or_absorption:[bind(X,$fot(not(t2))),bind(Y,$fot(or(b,t6)))]]) ).
cnf(refute_0_18698,plain,
or(and(t2,not(or(b,t6))),and(not(t2),or(b,t6))) = xor(t2,or(b,t6)),
inference(subst,[],[refute_0_9:[bind(X,$fot(t2)),bind(Y,$fot(or(b,t6)))]]) ).
cnf(refute_0_18699,plain,
ll0 = xor(or(b,or(t6,not(t2))),or(or(t6,not(t2)),b)),
inference(subst,[],[refute_0_131:[bind(X_146,$fot(or(t6,not(t2)))),bind(X_147,$fot(b))]]) ).
cnf(refute_0_18700,plain,
or(t6,or(X_38,not(or(not(t4),X_38)))) = or(t6,or(not(t4),or(X_38,not(or(not(t4),X_38))))),
inference(subst,[],[refute_0_7260:[bind(X_39,$fot(or(X_38,not(or(not(t4),X_38)))))]]) ).
cnf(refute_0_18701,plain,
or(not(t4),or(X_38,not(or(not(t4),X_38)))) = ll1,
inference(subst,[],[refute_0_137:[bind(X_37,$fot(not(t4)))]]) ).
cnf(refute_0_18702,plain,
( or(not(t4),or(X_38,not(or(not(t4),X_38)))) != ll1
| or(t6,or(X_38,not(or(not(t4),X_38)))) != or(t6,or(not(t4),or(X_38,not(or(not(t4),X_38)))))
| or(t6,or(X_38,not(or(not(t4),X_38)))) = or(t6,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,or(X_38,not(or(not(t4),X_38)))),or(t6,or(not(t4),or(X_38,not(or(not(t4),X_38)))))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_18703,plain,
( or(t6,or(X_38,not(or(not(t4),X_38)))) != or(t6,or(not(t4),or(X_38,not(or(not(t4),X_38)))))
| or(t6,or(X_38,not(or(not(t4),X_38)))) = or(t6,ll1) ),
inference(resolve,[$cnf( $equal(or(not(t4),or(X_38,not(or(not(t4),X_38)))),ll1) )],[refute_0_18701,refute_0_18702]) ).
cnf(refute_0_18704,plain,
or(t6,or(X_38,not(or(not(t4),X_38)))) = or(t6,ll1),
inference(resolve,[$cnf( $equal(or(t6,or(X_38,not(or(not(t4),X_38)))),or(t6,or(not(t4),or(X_38,not(or(not(t4),X_38)))))) )],[refute_0_18700,refute_0_18703]) ).
cnf(refute_0_18705,plain,
not(or(not(t4),X_38)) = and(t4,not(X_38)),
inference(subst,[],[refute_0_159:[bind(X,$fot(t4)),bind(X_26,$fot(X_38))]]) ).
cnf(refute_0_18706,plain,
or(X_38,not(or(not(t4),X_38))) = or(X_38,not(or(not(t4),X_38))),
introduced(tautology,[refl,[$fot(or(X_38,not(or(not(t4),X_38))))]]) ).
cnf(refute_0_18707,plain,
( not(or(not(t4),X_38)) != and(t4,not(X_38))
| or(X_38,not(or(not(t4),X_38))) != or(X_38,not(or(not(t4),X_38)))
| or(X_38,not(or(not(t4),X_38))) = or(X_38,and(t4,not(X_38))) ),
introduced(tautology,[equality,[$cnf( $equal(or(X_38,not(or(not(t4),X_38))),or(X_38,not(or(not(t4),X_38)))) ),[1,1],$fot(and(t4,not(X_38)))]]) ).
cnf(refute_0_18708,plain,
( not(or(not(t4),X_38)) != and(t4,not(X_38))
| or(X_38,not(or(not(t4),X_38))) = or(X_38,and(t4,not(X_38))) ),
inference(resolve,[$cnf( $equal(or(X_38,not(or(not(t4),X_38))),or(X_38,not(or(not(t4),X_38)))) )],[refute_0_18706,refute_0_18707]) ).
cnf(refute_0_18709,plain,
or(X_38,not(or(not(t4),X_38))) = or(X_38,and(t4,not(X_38))),
inference(resolve,[$cnf( $equal(not(or(not(t4),X_38)),and(t4,not(X_38))) )],[refute_0_18705,refute_0_18708]) ).
cnf(refute_0_18710,plain,
or(t6,or(X_38,not(or(not(t4),X_38)))) = or(t6,or(X_38,not(or(not(t4),X_38)))),
introduced(tautology,[refl,[$fot(or(t6,or(X_38,not(or(not(t4),X_38)))))]]) ).
cnf(refute_0_18711,plain,
( or(X_38,not(or(not(t4),X_38))) != or(X_38,and(t4,not(X_38)))
| or(t6,or(X_38,not(or(not(t4),X_38)))) != or(t6,or(X_38,not(or(not(t4),X_38))))
| or(t6,or(X_38,not(or(not(t4),X_38)))) = or(t6,or(X_38,and(t4,not(X_38)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,or(X_38,not(or(not(t4),X_38)))),or(t6,or(X_38,not(or(not(t4),X_38))))) ),[1,1],$fot(or(X_38,and(t4,not(X_38))))]]) ).
cnf(refute_0_18712,plain,
( or(X_38,not(or(not(t4),X_38))) != or(X_38,and(t4,not(X_38)))
| or(t6,or(X_38,not(or(not(t4),X_38)))) = or(t6,or(X_38,and(t4,not(X_38)))) ),
inference(resolve,[$cnf( $equal(or(t6,or(X_38,not(or(not(t4),X_38)))),or(t6,or(X_38,not(or(not(t4),X_38))))) )],[refute_0_18710,refute_0_18711]) ).
cnf(refute_0_18713,plain,
or(t6,or(X_38,not(or(not(t4),X_38)))) = or(t6,or(X_38,and(t4,not(X_38)))),
inference(resolve,[$cnf( $equal(or(X_38,not(or(not(t4),X_38))),or(X_38,and(t4,not(X_38)))) )],[refute_0_18709,refute_0_18712]) ).
cnf(refute_0_18714,plain,
( or(t6,or(X_38,not(or(not(t4),X_38)))) != or(t6,ll1)
| or(t6,or(X_38,not(or(not(t4),X_38)))) != or(t6,or(X_38,and(t4,not(X_38))))
| or(t6,or(X_38,and(t4,not(X_38)))) = or(t6,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,or(X_38,not(or(not(t4),X_38)))),or(t6,ll1)) ),[0],$fot(or(t6,or(X_38,and(t4,not(X_38)))))]]) ).
cnf(refute_0_18715,plain,
( or(t6,or(X_38,not(or(not(t4),X_38)))) != or(t6,ll1)
| or(t6,or(X_38,and(t4,not(X_38)))) = or(t6,ll1) ),
inference(resolve,[$cnf( $equal(or(t6,or(X_38,not(or(not(t4),X_38)))),or(t6,or(X_38,and(t4,not(X_38))))) )],[refute_0_18713,refute_0_18714]) ).
cnf(refute_0_18716,plain,
( or(t6,ll1) != ll1
| or(t6,or(X_38,and(t4,not(X_38)))) != or(t6,ll1)
| or(t6,or(X_38,and(t4,not(X_38)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,or(X_38,and(t4,not(X_38)))),or(t6,ll1)) ),[1],$fot(ll1)]]) ).
cnf(refute_0_18717,plain,
( or(t6,or(X_38,and(t4,not(X_38)))) != or(t6,ll1)
| or(t6,or(X_38,and(t4,not(X_38)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t6,ll1),ll1) )],[refute_0_7329,refute_0_18716]) ).
cnf(refute_0_18718,plain,
( or(t6,or(X_38,not(or(not(t4),X_38)))) != or(t6,ll1)
| or(t6,or(X_38,and(t4,not(X_38)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t6,or(X_38,and(t4,not(X_38)))),or(t6,ll1)) )],[refute_0_18715,refute_0_18717]) ).
cnf(refute_0_18719,plain,
or(t6,or(X_38,and(t4,not(X_38)))) = ll1,
inference(resolve,[$cnf( $equal(or(t6,or(X_38,not(or(not(t4),X_38)))),or(t6,ll1)) )],[refute_0_18704,refute_0_18718]) ).
cnf(refute_0_18720,plain,
or(t6,or(b,and(t4,not(b)))) = ll1,
inference(subst,[],[refute_0_18719:[bind(X_38,$fot(b))]]) ).
cnf(refute_0_18721,plain,
xor(t1,xor(t1,and(t4,not(b)))) = and(t4,not(b)),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(t1)),bind(X_335,$fot(and(t4,not(b))))]]) ).
cnf(refute_0_18722,plain,
not(xor(t1,or(b,not(t4)))) = xor(t1,not(or(b,not(t4)))),
inference(subst,[],[refute_0_1137:[bind(X_333,$fot(t1)),bind(X_334,$fot(or(b,not(t4))))]]) ).
cnf(refute_0_18723,plain,
or(and(b,not(t4)),and(not(b),t4)) = xor(b,t4),
inference(subst,[],[refute_0_9:[bind(X,$fot(b)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_18724,plain,
and(not(t1),not(t4)) = and(b,and(t3,not(t4))),
inference(subst,[],[refute_0_5432:[bind(Z,$fot(not(t4)))]]) ).
cnf(refute_0_18725,plain,
( and(not(t1),not(t4)) != and(b,and(t3,not(t4)))
| and(t3,not(t4)) != not(t4)
| and(not(t1),not(t4)) = and(b,not(t4)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t1),not(t4)),and(b,and(t3,not(t4)))) ),[1,1],$fot(not(t4))]]) ).
cnf(refute_0_18726,plain,
( and(not(t1),not(t4)) != and(b,and(t3,not(t4)))
| and(not(t1),not(t4)) = and(b,not(t4)) ),
inference(resolve,[$cnf( $equal(and(t3,not(t4)),not(t4)) )],[refute_0_14177,refute_0_18725]) ).
cnf(refute_0_18727,plain,
and(not(t1),not(t4)) = and(b,not(t4)),
inference(resolve,[$cnf( $equal(and(not(t1),not(t4)),and(b,and(t3,not(t4)))) )],[refute_0_18724,refute_0_18726]) ).
cnf(refute_0_18728,plain,
and(not(t1),not(t4)) = not(or(t1,t4)),
inference(subst,[],[refute_0_101:[bind(X,$fot(t1)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_18729,plain,
( and(not(t1),not(t4)) != not(or(t1,t4))
| not(or(t1,t4)) != not(t1)
| and(not(t1),not(t4)) = not(t1) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t1),not(t4)))),bind(Y0,$fot(not(or(t1,t4)))),bind(Z0,$fot(not(t1)))]]) ).
cnf(refute_0_18730,plain,
( not(or(t1,t4)) != not(t1)
| and(not(t1),not(t4)) = not(t1) ),
inference(resolve,[$cnf( $equal(and(not(t1),not(t4)),not(or(t1,t4))) )],[refute_0_18728,refute_0_18729]) ).
cnf(refute_0_18731,plain,
and(not(t1),not(t4)) = not(t1),
inference(resolve,[$cnf( $equal(not(or(t1,t4)),not(t1)) )],[refute_0_1294,refute_0_18730]) ).
cnf(refute_0_18732,plain,
( and(not(t1),not(t4)) != and(b,not(t4))
| and(not(t1),not(t4)) != not(t1)
| not(t1) = and(b,not(t4)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t1),not(t4)),and(b,not(t4))) ),[0],$fot(not(t1))]]) ).
cnf(refute_0_18733,plain,
( and(not(t1),not(t4)) != and(b,not(t4))
| not(t1) = and(b,not(t4)) ),
inference(resolve,[$cnf( $equal(and(not(t1),not(t4)),not(t1)) )],[refute_0_18731,refute_0_18732]) ).
cnf(refute_0_18734,plain,
not(t1) = and(b,not(t4)),
inference(resolve,[$cnf( $equal(and(not(t1),not(t4)),and(b,not(t4))) )],[refute_0_18727,refute_0_18733]) ).
cnf(refute_0_18735,plain,
( not(t1) != and(b,not(t4))
| and(b,not(t4)) = not(t1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t1))),bind(Y0,$fot(and(b,not(t4))))]]) ).
cnf(refute_0_18736,plain,
and(b,not(t4)) = not(t1),
inference(resolve,[$cnf( $equal(not(t1),and(b,not(t4))) )],[refute_0_18734,refute_0_18735]) ).
cnf(refute_0_18737,plain,
( and(b,not(t4)) != not(t1)
| or(and(b,not(t4)),and(not(b),t4)) != xor(b,t4)
| or(not(t1),and(not(b),t4)) = xor(b,t4) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(b,not(t4)),and(not(b),t4)),xor(b,t4)) ),[0,0],$fot(not(t1))]]) ).
cnf(refute_0_18738,plain,
( or(and(b,not(t4)),and(not(b),t4)) != xor(b,t4)
| or(not(t1),and(not(b),t4)) = xor(b,t4) ),
inference(resolve,[$cnf( $equal(and(b,not(t4)),not(t1)) )],[refute_0_18736,refute_0_18737]) ).
cnf(refute_0_18739,plain,
or(not(t1),and(not(b),t4)) = xor(b,t4),
inference(resolve,[$cnf( $equal(or(and(b,not(t4)),and(not(b),t4)),xor(b,t4)) )],[refute_0_18723,refute_0_18738]) ).
cnf(refute_0_18740,plain,
or(and(t1,not(or(b,X_323))),and(not(t1),or(b,X_323))) = xor(t1,or(b,X_323)),
inference(subst,[],[refute_0_9:[bind(X,$fot(t1)),bind(Y,$fot(or(b,X_323)))]]) ).
cnf(refute_0_18741,plain,
and(not(b),not(Y)) = and(t1,and(not(b),not(Y))),
inference(subst,[],[refute_0_6550:[bind(X_222,$fot(not(Y)))]]) ).
cnf(refute_0_18742,plain,
not(or(b,Y)) = and(not(b),not(Y)),
inference(subst,[],[or_demorgan:[bind(X,$fot(b))]]) ).
cnf(refute_0_18743,plain,
( not(or(b,Y)) != and(not(b),not(Y))
| and(not(b),not(Y)) = not(or(b,Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(b,Y)))),bind(Y0,$fot(and(not(b),not(Y))))]]) ).
cnf(refute_0_18744,plain,
and(not(b),not(Y)) = not(or(b,Y)),
inference(resolve,[$cnf( $equal(not(or(b,Y)),and(not(b),not(Y))) )],[refute_0_18742,refute_0_18743]) ).
cnf(refute_0_18745,plain,
( and(not(b),not(Y)) != and(t1,and(not(b),not(Y)))
| and(not(b),not(Y)) != not(or(b,Y))
| and(not(b),not(Y)) = and(t1,not(or(b,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(b),not(Y)),and(t1,and(not(b),not(Y)))) ),[1,1],$fot(not(or(b,Y)))]]) ).
cnf(refute_0_18746,plain,
( and(not(b),not(Y)) != and(t1,and(not(b),not(Y)))
| and(not(b),not(Y)) = and(t1,not(or(b,Y))) ),
inference(resolve,[$cnf( $equal(and(not(b),not(Y)),not(or(b,Y))) )],[refute_0_18744,refute_0_18745]) ).
cnf(refute_0_18747,plain,
and(not(b),not(Y)) = and(t1,not(or(b,Y))),
inference(resolve,[$cnf( $equal(and(not(b),not(Y)),and(t1,and(not(b),not(Y)))) )],[refute_0_18741,refute_0_18746]) ).
cnf(refute_0_18748,plain,
( and(not(b),not(Y)) != and(t1,not(or(b,Y)))
| and(not(b),not(Y)) != not(or(b,Y))
| not(or(b,Y)) = and(t1,not(or(b,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(b),not(Y)),and(t1,not(or(b,Y)))) ),[0],$fot(not(or(b,Y)))]]) ).
cnf(refute_0_18749,plain,
( and(not(b),not(Y)) != and(t1,not(or(b,Y)))
| not(or(b,Y)) = and(t1,not(or(b,Y))) ),
inference(resolve,[$cnf( $equal(and(not(b),not(Y)),not(or(b,Y))) )],[refute_0_18744,refute_0_18748]) ).
cnf(refute_0_18750,plain,
not(or(b,Y)) = and(t1,not(or(b,Y))),
inference(resolve,[$cnf( $equal(and(not(b),not(Y)),and(t1,not(or(b,Y)))) )],[refute_0_18747,refute_0_18749]) ).
cnf(refute_0_18751,plain,
not(or(b,X_323)) = and(t1,not(or(b,X_323))),
inference(subst,[],[refute_0_18750:[bind(Y,$fot(X_323))]]) ).
cnf(refute_0_18752,plain,
( not(or(b,X_323)) != and(t1,not(or(b,X_323)))
| and(t1,not(or(b,X_323))) = not(or(b,X_323)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(b,X_323)))),bind(Y0,$fot(and(t1,not(or(b,X_323)))))]]) ).
cnf(refute_0_18753,plain,
and(t1,not(or(b,X_323))) = not(or(b,X_323)),
inference(resolve,[$cnf( $equal(not(or(b,X_323)),and(t1,not(or(b,X_323)))) )],[refute_0_18751,refute_0_18752]) ).
cnf(refute_0_18754,plain,
( and(t1,not(or(b,X_323))) != not(or(b,X_323))
| or(and(t1,not(or(b,X_323))),and(not(t1),or(b,X_323))) != xor(t1,or(b,X_323))
| or(not(or(b,X_323)),and(not(t1),or(b,X_323))) = xor(t1,or(b,X_323)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t1,not(or(b,X_323))),and(not(t1),or(b,X_323))),xor(t1,or(b,X_323))) ),[0,0],$fot(not(or(b,X_323)))]]) ).
cnf(refute_0_18755,plain,
( or(and(t1,not(or(b,X_323))),and(not(t1),or(b,X_323))) != xor(t1,or(b,X_323))
| or(not(or(b,X_323)),and(not(t1),or(b,X_323))) = xor(t1,or(b,X_323)) ),
inference(resolve,[$cnf( $equal(and(t1,not(or(b,X_323))),not(or(b,X_323))) )],[refute_0_18753,refute_0_18754]) ).
cnf(refute_0_18756,plain,
or(not(or(b,X_323)),and(not(t1),or(b,X_323))) = xor(t1,or(b,X_323)),
inference(resolve,[$cnf( $equal(or(and(t1,not(or(b,X_323))),and(not(t1),or(b,X_323))),xor(t1,or(b,X_323))) )],[refute_0_18740,refute_0_18755]) ).
cnf(refute_0_18757,plain,
and(or(b,X_323),t1) = and(t1,or(b,X_323)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t1)),bind(Y,$fot(or(b,X_323)))]]) ).
cnf(refute_0_18758,plain,
or(t1,and(t1,and(not(b),X_295))) = t1,
inference(subst,[],[or_absorption:[bind(X,$fot(t1)),bind(Y,$fot(and(not(b),X_295)))]]) ).
cnf(refute_0_18759,plain,
and(not(b),X_295) = and(t1,and(not(b),X_295)),
inference(subst,[],[refute_0_6550:[bind(X_222,$fot(X_295))]]) ).
cnf(refute_0_18760,plain,
( and(not(b),X_295) != and(t1,and(not(b),X_295))
| and(t1,and(not(b),X_295)) = and(not(b),X_295) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(b),X_295))),bind(Y0,$fot(and(t1,and(not(b),X_295))))]]) ).
cnf(refute_0_18761,plain,
and(t1,and(not(b),X_295)) = and(not(b),X_295),
inference(resolve,[$cnf( $equal(and(not(b),X_295),and(t1,and(not(b),X_295))) )],[refute_0_18759,refute_0_18760]) ).
cnf(refute_0_18762,plain,
( and(t1,and(not(b),X_295)) != and(not(b),X_295)
| or(t1,and(t1,and(not(b),X_295))) != t1
| or(t1,and(not(b),X_295)) = t1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,and(t1,and(not(b),X_295))),t1) ),[0,1],$fot(and(not(b),X_295))]]) ).
cnf(refute_0_18763,plain,
( or(t1,and(t1,and(not(b),X_295))) != t1
| or(t1,and(not(b),X_295)) = t1 ),
inference(resolve,[$cnf( $equal(and(t1,and(not(b),X_295)),and(not(b),X_295)) )],[refute_0_18761,refute_0_18762]) ).
cnf(refute_0_18764,plain,
or(t1,and(not(b),X_295)) = t1,
inference(resolve,[$cnf( $equal(or(t1,and(t1,and(not(b),X_295))),t1) )],[refute_0_18758,refute_0_18763]) ).
cnf(refute_0_18765,plain,
or(t1,and(not(b),not(Y))) = t1,
inference(subst,[],[refute_0_18764:[bind(X_295,$fot(not(Y)))]]) ).
cnf(refute_0_18766,plain,
( and(not(b),not(Y)) != not(or(b,Y))
| or(t1,and(not(b),not(Y))) != t1
| or(t1,not(or(b,Y))) = t1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,and(not(b),not(Y))),t1) ),[0,1],$fot(not(or(b,Y)))]]) ).
cnf(refute_0_18767,plain,
( or(t1,and(not(b),not(Y))) != t1
| or(t1,not(or(b,Y))) = t1 ),
inference(resolve,[$cnf( $equal(and(not(b),not(Y)),not(or(b,Y))) )],[refute_0_18744,refute_0_18766]) ).
cnf(refute_0_18768,plain,
or(t1,not(or(b,Y))) = t1,
inference(resolve,[$cnf( $equal(or(t1,and(not(b),not(Y))),t1) )],[refute_0_18765,refute_0_18767]) ).
cnf(refute_0_18769,plain,
or(t1,not(or(b,X_323))) = t1,
inference(subst,[],[refute_0_18768:[bind(Y,$fot(X_323))]]) ).
cnf(refute_0_18770,plain,
and(or(b,X_323),or(t1,not(or(b,X_323)))) = and(or(b,X_323),or(t1,not(or(b,X_323)))),
introduced(tautology,[refl,[$fot(and(or(b,X_323),or(t1,not(or(b,X_323)))))]]) ).
cnf(refute_0_18771,plain,
( and(or(b,X_323),or(t1,not(or(b,X_323)))) != and(or(b,X_323),or(t1,not(or(b,X_323))))
| or(t1,not(or(b,X_323))) != t1
| and(or(b,X_323),or(t1,not(or(b,X_323)))) = and(or(b,X_323),t1) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(b,X_323),or(t1,not(or(b,X_323)))),and(or(b,X_323),or(t1,not(or(b,X_323))))) ),[1,1],$fot(t1)]]) ).
cnf(refute_0_18772,plain,
( or(t1,not(or(b,X_323))) != t1
| and(or(b,X_323),or(t1,not(or(b,X_323)))) = and(or(b,X_323),t1) ),
inference(resolve,[$cnf( $equal(and(or(b,X_323),or(t1,not(or(b,X_323)))),and(or(b,X_323),or(t1,not(or(b,X_323))))) )],[refute_0_18770,refute_0_18771]) ).
cnf(refute_0_18773,plain,
and(or(b,X_323),or(t1,not(or(b,X_323)))) = and(or(b,X_323),t1),
inference(resolve,[$cnf( $equal(or(t1,not(or(b,X_323))),t1) )],[refute_0_18769,refute_0_18772]) ).
cnf(refute_0_18774,plain,
( and(or(b,X_323),or(t1,not(or(b,X_323)))) != and(or(b,X_323),t1)
| and(or(b,X_323),t1) != and(t1,or(b,X_323))
| and(or(b,X_323),or(t1,not(or(b,X_323)))) = and(t1,or(b,X_323)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(or(b,X_323),or(t1,not(or(b,X_323)))))),bind(Y0,$fot(and(or(b,X_323),t1))),bind(Z0,$fot(and(t1,or(b,X_323))))]]) ).
cnf(refute_0_18775,plain,
( and(or(b,X_323),t1) != and(t1,or(b,X_323))
| and(or(b,X_323),or(t1,not(or(b,X_323)))) = and(t1,or(b,X_323)) ),
inference(resolve,[$cnf( $equal(and(or(b,X_323),or(t1,not(or(b,X_323)))),and(or(b,X_323),t1)) )],[refute_0_18773,refute_0_18774]) ).
cnf(refute_0_18776,plain,
and(or(b,X_323),or(t1,not(or(b,X_323)))) = and(t1,or(b,X_323)),
inference(resolve,[$cnf( $equal(and(or(b,X_323),t1),and(t1,or(b,X_323))) )],[refute_0_18757,refute_0_18775]) ).
cnf(refute_0_18777,plain,
not(and(or(b,X_323),or(t1,not(or(b,X_323))))) = not(and(or(b,X_323),or(t1,not(or(b,X_323))))),
introduced(tautology,[refl,[$fot(not(and(or(b,X_323),or(t1,not(or(b,X_323))))))]]) ).
cnf(refute_0_18778,plain,
( and(or(b,X_323),or(t1,not(or(b,X_323)))) != and(t1,or(b,X_323))
| not(and(or(b,X_323),or(t1,not(or(b,X_323))))) != not(and(or(b,X_323),or(t1,not(or(b,X_323)))))
| not(and(or(b,X_323),or(t1,not(or(b,X_323))))) = not(and(t1,or(b,X_323))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(b,X_323),or(t1,not(or(b,X_323))))),not(and(or(b,X_323),or(t1,not(or(b,X_323)))))) ),[1,0],$fot(and(t1,or(b,X_323)))]]) ).
cnf(refute_0_18779,plain,
( and(or(b,X_323),or(t1,not(or(b,X_323)))) != and(t1,or(b,X_323))
| not(and(or(b,X_323),or(t1,not(or(b,X_323))))) = not(and(t1,or(b,X_323))) ),
inference(resolve,[$cnf( $equal(not(and(or(b,X_323),or(t1,not(or(b,X_323))))),not(and(or(b,X_323),or(t1,not(or(b,X_323)))))) )],[refute_0_18777,refute_0_18778]) ).
cnf(refute_0_18780,plain,
not(and(or(b,X_323),or(t1,not(or(b,X_323))))) = not(and(t1,or(b,X_323))),
inference(resolve,[$cnf( $equal(and(or(b,X_323),or(t1,not(or(b,X_323)))),and(t1,or(b,X_323))) )],[refute_0_18776,refute_0_18779]) ).
cnf(refute_0_18781,plain,
or(not(or(b,X_323)),and(not(t1),or(b,X_323))) = not(and(or(b,X_323),or(t1,not(or(b,X_323))))),
inference(subst,[],[refute_0_1337:[bind(X,$fot(or(b,X_323))),bind(X_78,$fot(or(b,X_323))),bind(X_79,$fot(t1))]]) ).
cnf(refute_0_18782,plain,
( not(and(or(b,X_323),or(t1,not(or(b,X_323))))) != not(and(t1,or(b,X_323)))
| or(not(or(b,X_323)),and(not(t1),or(b,X_323))) != not(and(or(b,X_323),or(t1,not(or(b,X_323)))))
| or(not(or(b,X_323)),and(not(t1),or(b,X_323))) = not(and(t1,or(b,X_323))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(or(b,X_323)),and(not(t1),or(b,X_323))))),bind(Y0,$fot(not(and(or(b,X_323),or(t1,not(or(b,X_323))))))),bind(Z0,$fot(not(and(t1,or(b,X_323)))))]]) ).
cnf(refute_0_18783,plain,
( not(and(or(b,X_323),or(t1,not(or(b,X_323))))) != not(and(t1,or(b,X_323)))
| or(not(or(b,X_323)),and(not(t1),or(b,X_323))) = not(and(t1,or(b,X_323))) ),
inference(resolve,[$cnf( $equal(or(not(or(b,X_323)),and(not(t1),or(b,X_323))),not(and(or(b,X_323),or(t1,not(or(b,X_323)))))) )],[refute_0_18781,refute_0_18782]) ).
cnf(refute_0_18784,plain,
or(not(or(b,X_323)),and(not(t1),or(b,X_323))) = not(and(t1,or(b,X_323))),
inference(resolve,[$cnf( $equal(not(and(or(b,X_323),or(t1,not(or(b,X_323))))),not(and(t1,or(b,X_323)))) )],[refute_0_18780,refute_0_18783]) ).
cnf(refute_0_18785,plain,
( or(not(or(b,X_323)),and(not(t1),or(b,X_323))) != not(and(t1,or(b,X_323)))
| or(not(or(b,X_323)),and(not(t1),or(b,X_323))) != xor(t1,or(b,X_323))
| not(and(t1,or(b,X_323))) = xor(t1,or(b,X_323)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(or(b,X_323)),and(not(t1),or(b,X_323))),xor(t1,or(b,X_323))) ),[0],$fot(not(and(t1,or(b,X_323))))]]) ).
cnf(refute_0_18786,plain,
( or(not(or(b,X_323)),and(not(t1),or(b,X_323))) != xor(t1,or(b,X_323))
| not(and(t1,or(b,X_323))) = xor(t1,or(b,X_323)) ),
inference(resolve,[$cnf( $equal(or(not(or(b,X_323)),and(not(t1),or(b,X_323))),not(and(t1,or(b,X_323)))) )],[refute_0_18784,refute_0_18785]) ).
cnf(refute_0_18787,plain,
not(and(t1,or(b,X_323))) = xor(t1,or(b,X_323)),
inference(resolve,[$cnf( $equal(or(not(or(b,X_323)),and(not(t1),or(b,X_323))),xor(t1,or(b,X_323))) )],[refute_0_18756,refute_0_18786]) ).
cnf(refute_0_18788,plain,
not(and(t1,or(b,not(t4)))) = xor(t1,or(b,not(t4))),
inference(subst,[],[refute_0_18787:[bind(X_323,$fot(not(t4)))]]) ).
cnf(refute_0_18789,plain,
or(not(t1),and(not(b),t4)) = not(and(t1,or(b,not(t4)))),
inference(subst,[],[refute_0_1337:[bind(X,$fot(t1)),bind(X_78,$fot(t4)),bind(X_79,$fot(b))]]) ).
cnf(refute_0_18790,plain,
( not(and(t1,or(b,not(t4)))) != xor(t1,or(b,not(t4)))
| or(not(t1),and(not(b),t4)) != not(and(t1,or(b,not(t4))))
| or(not(t1),and(not(b),t4)) = xor(t1,or(b,not(t4))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t1),and(not(b),t4)))),bind(Y0,$fot(not(and(t1,or(b,not(t4)))))),bind(Z0,$fot(xor(t1,or(b,not(t4)))))]]) ).
cnf(refute_0_18791,plain,
( not(and(t1,or(b,not(t4)))) != xor(t1,or(b,not(t4)))
| or(not(t1),and(not(b),t4)) = xor(t1,or(b,not(t4))) ),
inference(resolve,[$cnf( $equal(or(not(t1),and(not(b),t4)),not(and(t1,or(b,not(t4))))) )],[refute_0_18789,refute_0_18790]) ).
cnf(refute_0_18792,plain,
or(not(t1),and(not(b),t4)) = xor(t1,or(b,not(t4))),
inference(resolve,[$cnf( $equal(not(and(t1,or(b,not(t4)))),xor(t1,or(b,not(t4)))) )],[refute_0_18788,refute_0_18791]) ).
cnf(refute_0_18793,plain,
( or(not(t1),and(not(b),t4)) != xor(b,t4)
| or(not(t1),and(not(b),t4)) != xor(t1,or(b,not(t4)))
| xor(t1,or(b,not(t4))) = xor(b,t4) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t1),and(not(b),t4)),xor(b,t4)) ),[0],$fot(xor(t1,or(b,not(t4))))]]) ).
cnf(refute_0_18794,plain,
( or(not(t1),and(not(b),t4)) != xor(b,t4)
| xor(t1,or(b,not(t4))) = xor(b,t4) ),
inference(resolve,[$cnf( $equal(or(not(t1),and(not(b),t4)),xor(t1,or(b,not(t4)))) )],[refute_0_18792,refute_0_18793]) ).
cnf(refute_0_18795,plain,
not(not(xor(b,t4))) = xor(b,t4),
inference(subst,[],[not_involution:[bind(X,$fot(xor(b,t4)))]]) ).
cnf(refute_0_18796,plain,
xor(a,xor(t1,xor(t3,and(t1,t3)))) = xor(t2,xor(t3,and(t1,t3))),
inference(subst,[],[refute_0_370:[bind(X_335,$fot(xor(t3,and(t1,t3))))]]) ).
cnf(refute_0_18797,plain,
( xor(a,xor(t1,xor(t3,and(t1,t3)))) != xor(t2,xor(t3,and(t1,t3)))
| xor(t1,xor(t3,and(t1,t3))) != ll1
| xor(a,ll1) = xor(t2,xor(t3,and(t1,t3))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t1,xor(t3,and(t1,t3)))),xor(t2,xor(t3,and(t1,t3)))) ),[0,1],$fot(ll1)]]) ).
cnf(refute_0_18798,plain,
( xor(a,xor(t1,xor(t3,and(t1,t3)))) != xor(t2,xor(t3,and(t1,t3)))
| xor(a,ll1) = xor(t2,xor(t3,and(t1,t3))) ),
inference(resolve,[$cnf( $equal(xor(t1,xor(t3,and(t1,t3))),ll1) )],[refute_0_3019,refute_0_18797]) ).
cnf(refute_0_18799,plain,
xor(a,ll1) = xor(t2,xor(t3,and(t1,t3))),
inference(resolve,[$cnf( $equal(xor(a,xor(t1,xor(t3,and(t1,t3)))),xor(t2,xor(t3,and(t1,t3)))) )],[refute_0_18796,refute_0_18798]) ).
cnf(refute_0_18800,plain,
( xor(a,ll1) != not(a)
| xor(a,ll1) != xor(t2,xor(t3,and(t1,t3)))
| not(a) = xor(t2,xor(t3,and(t1,t3))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,ll1),xor(t2,xor(t3,and(t1,t3)))) ),[0],$fot(not(a))]]) ).
cnf(refute_0_18801,plain,
( xor(a,ll1) != xor(t2,xor(t3,and(t1,t3)))
| not(a) = xor(t2,xor(t3,and(t1,t3))) ),
inference(resolve,[$cnf( $equal(xor(a,ll1),not(a)) )],[refute_0_588,refute_0_18800]) ).
cnf(refute_0_18802,plain,
or(and(xor(t2,t3),not(Y)),and(not(xor(t2,t3)),Y)) = xor(xor(t2,t3),Y),
inference(subst,[],[refute_0_9:[bind(X,$fot(xor(t2,t3)))]]) ).
cnf(refute_0_18803,plain,
( not(xor(t2,t3)) != not(t4)
| or(and(xor(t2,t3),not(Y)),and(not(xor(t2,t3)),Y)) != xor(xor(t2,t3),Y)
| or(and(xor(t2,t3),not(Y)),and(not(t4),Y)) = xor(xor(t2,t3),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(t2,t3),not(Y)),and(not(xor(t2,t3)),Y)),xor(xor(t2,t3),Y)) ),[0,1,0],$fot(not(t4))]]) ).
cnf(refute_0_18804,plain,
( or(and(xor(t2,t3),not(Y)),and(not(xor(t2,t3)),Y)) != xor(xor(t2,t3),Y)
| or(and(xor(t2,t3),not(Y)),and(not(t4),Y)) = xor(xor(t2,t3),Y) ),
inference(resolve,[$cnf( $equal(not(xor(t2,t3)),not(t4)) )],[refute_0_5931,refute_0_18803]) ).
cnf(refute_0_18805,plain,
or(and(xor(t2,t3),not(Y)),and(not(t4),Y)) = xor(xor(t2,t3),Y),
inference(resolve,[$cnf( $equal(or(and(xor(t2,t3),not(Y)),and(not(xor(t2,t3)),Y)),xor(xor(t2,t3),Y)) )],[refute_0_18802,refute_0_18804]) ).
cnf(refute_0_18806,plain,
or(and(xor(t2,t3),not(Y)),and(not(t4),Y)) = or(and(not(t4),Y),and(xor(t2,t3),not(Y))),
inference(subst,[],[refute_0_5:[bind(X,$fot(and(not(t4),Y))),bind(Y,$fot(and(xor(t2,t3),not(Y))))]]) ).
cnf(refute_0_18807,plain,
( or(and(xor(t2,t3),not(Y)),and(not(t4),Y)) != or(and(not(t4),Y),and(xor(t2,t3),not(Y)))
| or(and(xor(t2,t3),not(Y)),and(not(t4),Y)) != xor(xor(t2,t3),Y)
| or(and(not(t4),Y),and(xor(t2,t3),not(Y))) = xor(xor(t2,t3),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(t2,t3),not(Y)),and(not(t4),Y)),xor(xor(t2,t3),Y)) ),[0],$fot(or(and(not(t4),Y),and(xor(t2,t3),not(Y))))]]) ).
cnf(refute_0_18808,plain,
( or(and(xor(t2,t3),not(Y)),and(not(t4),Y)) != xor(xor(t2,t3),Y)
| or(and(not(t4),Y),and(xor(t2,t3),not(Y))) = xor(xor(t2,t3),Y) ),
inference(resolve,[$cnf( $equal(or(and(xor(t2,t3),not(Y)),and(not(t4),Y)),or(and(not(t4),Y),and(xor(t2,t3),not(Y)))) )],[refute_0_18806,refute_0_18807]) ).
cnf(refute_0_18809,plain,
xor(xor(t2,t3),Y) = xor(t2,xor(t3,Y)),
inference(subst,[],[refute_0_526:[bind(X,$fot(t2)),bind(Y,$fot(t3)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_18810,plain,
( or(and(not(t4),Y),and(xor(t2,t3),not(Y))) != xor(xor(t2,t3),Y)
| xor(xor(t2,t3),Y) != xor(t2,xor(t3,Y))
| or(and(not(t4),Y),and(xor(t2,t3),not(Y))) = xor(t2,xor(t3,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(and(not(t4),Y),and(xor(t2,t3),not(Y))),xor(t2,xor(t3,Y))) ),[0],$fot(xor(xor(t2,t3),Y))]]) ).
cnf(refute_0_18811,plain,
( or(and(not(t4),Y),and(xor(t2,t3),not(Y))) != xor(xor(t2,t3),Y)
| or(and(not(t4),Y),and(xor(t2,t3),not(Y))) = xor(t2,xor(t3,Y)) ),
inference(resolve,[$cnf( $equal(xor(xor(t2,t3),Y),xor(t2,xor(t3,Y))) )],[refute_0_18809,refute_0_18810]) ).
cnf(refute_0_18812,plain,
( or(and(xor(t2,t3),not(Y)),and(not(t4),Y)) != xor(xor(t2,t3),Y)
| or(and(not(t4),Y),and(xor(t2,t3),not(Y))) = xor(t2,xor(t3,Y)) ),
inference(resolve,[$cnf( $equal(or(and(not(t4),Y),and(xor(t2,t3),not(Y))),xor(xor(t2,t3),Y)) )],[refute_0_18808,refute_0_18811]) ).
cnf(refute_0_18813,plain,
or(and(not(t4),Y),and(xor(t2,t3),not(Y))) = xor(t2,xor(t3,Y)),
inference(resolve,[$cnf( $equal(or(and(xor(t2,t3),not(Y)),and(not(t4),Y)),xor(xor(t2,t3),Y)) )],[refute_0_18805,refute_0_18812]) ).
cnf(refute_0_18814,plain,
or(and(t4,not(Y)),and(not(t4),Y)) = xor(t4,Y),
inference(subst,[],[refute_0_9:[bind(X,$fot(t4))]]) ).
cnf(refute_0_18815,plain,
or(and(not(t4),Y),and(t4,not(Y))) = or(and(t4,not(Y)),and(not(t4),Y)),
inference(subst,[],[refute_0_5:[bind(X,$fot(and(t4,not(Y)))),bind(Y,$fot(and(not(t4),Y)))]]) ).
cnf(refute_0_18816,plain,
( or(and(not(t4),Y),and(t4,not(Y))) != or(and(t4,not(Y)),and(not(t4),Y))
| or(and(t4,not(Y)),and(not(t4),Y)) != xor(t4,Y)
| or(and(not(t4),Y),and(t4,not(Y))) = xor(t4,Y) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(not(t4),Y),and(t4,not(Y))))),bind(Y0,$fot(or(and(t4,not(Y)),and(not(t4),Y)))),bind(Z0,$fot(xor(t4,Y)))]]) ).
cnf(refute_0_18817,plain,
( or(and(t4,not(Y)),and(not(t4),Y)) != xor(t4,Y)
| or(and(not(t4),Y),and(t4,not(Y))) = xor(t4,Y) ),
inference(resolve,[$cnf( $equal(or(and(not(t4),Y),and(t4,not(Y))),or(and(t4,not(Y)),and(not(t4),Y))) )],[refute_0_18815,refute_0_18816]) ).
cnf(refute_0_18818,plain,
or(and(not(t4),Y),and(t4,not(Y))) = xor(t4,Y),
inference(resolve,[$cnf( $equal(or(and(t4,not(Y)),and(not(t4),Y)),xor(t4,Y)) )],[refute_0_18814,refute_0_18817]) ).
cnf(refute_0_18819,plain,
not(or(not(xor(t2,t3)),X_26)) = and(xor(t2,t3),not(X_26)),
inference(subst,[],[refute_0_159:[bind(X,$fot(xor(t2,t3)))]]) ).
cnf(refute_0_18820,plain,
( not(or(not(xor(t2,t3)),X_26)) != and(xor(t2,t3),not(X_26))
| not(xor(t2,t3)) != not(t4)
| not(or(not(t4),X_26)) = and(xor(t2,t3),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(xor(t2,t3)),X_26)),and(xor(t2,t3),not(X_26))) ),[0,0,0],$fot(not(t4))]]) ).
cnf(refute_0_18821,plain,
( not(or(not(xor(t2,t3)),X_26)) != and(xor(t2,t3),not(X_26))
| not(or(not(t4),X_26)) = and(xor(t2,t3),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(xor(t2,t3)),not(t4)) )],[refute_0_5931,refute_0_18820]) ).
cnf(refute_0_18822,plain,
not(or(not(t4),X_26)) = and(xor(t2,t3),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(not(xor(t2,t3)),X_26)),and(xor(t2,t3),not(X_26))) )],[refute_0_18819,refute_0_18821]) ).
cnf(refute_0_18823,plain,
not(or(not(t4),X_26)) = and(t4,not(X_26)),
inference(subst,[],[refute_0_159:[bind(X,$fot(t4))]]) ).
cnf(refute_0_18824,plain,
( not(or(not(t4),X_26)) != and(t4,not(X_26))
| not(or(not(t4),X_26)) != and(xor(t2,t3),not(X_26))
| and(t4,not(X_26)) = and(xor(t2,t3),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(t4),X_26)),and(xor(t2,t3),not(X_26))) ),[0],$fot(and(t4,not(X_26)))]]) ).
cnf(refute_0_18825,plain,
( not(or(not(t4),X_26)) != and(xor(t2,t3),not(X_26))
| and(t4,not(X_26)) = and(xor(t2,t3),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(or(not(t4),X_26)),and(t4,not(X_26))) )],[refute_0_18823,refute_0_18824]) ).
cnf(refute_0_18826,plain,
and(t4,not(X_26)) = and(xor(t2,t3),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(not(t4),X_26)),and(xor(t2,t3),not(X_26))) )],[refute_0_18822,refute_0_18825]) ).
cnf(refute_0_18827,plain,
( and(t4,not(X_26)) != and(xor(t2,t3),not(X_26))
| and(xor(t2,t3),not(X_26)) = and(t4,not(X_26)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t4,not(X_26)))),bind(Y0,$fot(and(xor(t2,t3),not(X_26))))]]) ).
cnf(refute_0_18828,plain,
and(xor(t2,t3),not(X_26)) = and(t4,not(X_26)),
inference(resolve,[$cnf( $equal(and(t4,not(X_26)),and(xor(t2,t3),not(X_26))) )],[refute_0_18826,refute_0_18827]) ).
cnf(refute_0_18829,plain,
and(xor(t2,t3),not(Y)) = and(t4,not(Y)),
inference(subst,[],[refute_0_18828:[bind(X_26,$fot(Y))]]) ).
cnf(refute_0_18830,plain,
or(and(not(t4),Y),and(xor(t2,t3),not(Y))) = or(and(not(t4),Y),and(xor(t2,t3),not(Y))),
introduced(tautology,[refl,[$fot(or(and(not(t4),Y),and(xor(t2,t3),not(Y))))]]) ).
cnf(refute_0_18831,plain,
( and(xor(t2,t3),not(Y)) != and(t4,not(Y))
| or(and(not(t4),Y),and(xor(t2,t3),not(Y))) != or(and(not(t4),Y),and(xor(t2,t3),not(Y)))
| or(and(not(t4),Y),and(xor(t2,t3),not(Y))) = or(and(not(t4),Y),and(t4,not(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(not(t4),Y),and(xor(t2,t3),not(Y))),or(and(not(t4),Y),and(xor(t2,t3),not(Y)))) ),[1,1],$fot(and(t4,not(Y)))]]) ).
cnf(refute_0_18832,plain,
( and(xor(t2,t3),not(Y)) != and(t4,not(Y))
| or(and(not(t4),Y),and(xor(t2,t3),not(Y))) = or(and(not(t4),Y),and(t4,not(Y))) ),
inference(resolve,[$cnf( $equal(or(and(not(t4),Y),and(xor(t2,t3),not(Y))),or(and(not(t4),Y),and(xor(t2,t3),not(Y)))) )],[refute_0_18830,refute_0_18831]) ).
cnf(refute_0_18833,plain,
or(and(not(t4),Y),and(xor(t2,t3),not(Y))) = or(and(not(t4),Y),and(t4,not(Y))),
inference(resolve,[$cnf( $equal(and(xor(t2,t3),not(Y)),and(t4,not(Y))) )],[refute_0_18829,refute_0_18832]) ).
cnf(refute_0_18834,plain,
( or(and(not(t4),Y),and(t4,not(Y))) != xor(t4,Y)
| or(and(not(t4),Y),and(xor(t2,t3),not(Y))) != or(and(not(t4),Y),and(t4,not(Y)))
| or(and(not(t4),Y),and(xor(t2,t3),not(Y))) = xor(t4,Y) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(not(t4),Y),and(xor(t2,t3),not(Y))))),bind(Y0,$fot(or(and(not(t4),Y),and(t4,not(Y))))),bind(Z0,$fot(xor(t4,Y)))]]) ).
cnf(refute_0_18835,plain,
( or(and(not(t4),Y),and(t4,not(Y))) != xor(t4,Y)
| or(and(not(t4),Y),and(xor(t2,t3),not(Y))) = xor(t4,Y) ),
inference(resolve,[$cnf( $equal(or(and(not(t4),Y),and(xor(t2,t3),not(Y))),or(and(not(t4),Y),and(t4,not(Y)))) )],[refute_0_18833,refute_0_18834]) ).
cnf(refute_0_18836,plain,
or(and(not(t4),Y),and(xor(t2,t3),not(Y))) = xor(t4,Y),
inference(resolve,[$cnf( $equal(or(and(not(t4),Y),and(t4,not(Y))),xor(t4,Y)) )],[refute_0_18818,refute_0_18835]) ).
cnf(refute_0_18837,plain,
( or(and(not(t4),Y),and(xor(t2,t3),not(Y))) != xor(t2,xor(t3,Y))
| or(and(not(t4),Y),and(xor(t2,t3),not(Y))) != xor(t4,Y)
| xor(t4,Y) = xor(t2,xor(t3,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(not(t4),Y),and(xor(t2,t3),not(Y))),xor(t2,xor(t3,Y))) ),[0],$fot(xor(t4,Y))]]) ).
cnf(refute_0_18838,plain,
( or(and(not(t4),Y),and(xor(t2,t3),not(Y))) != xor(t2,xor(t3,Y))
| xor(t4,Y) = xor(t2,xor(t3,Y)) ),
inference(resolve,[$cnf( $equal(or(and(not(t4),Y),and(xor(t2,t3),not(Y))),xor(t4,Y)) )],[refute_0_18836,refute_0_18837]) ).
cnf(refute_0_18839,plain,
xor(t4,Y) = xor(t2,xor(t3,Y)),
inference(resolve,[$cnf( $equal(or(and(not(t4),Y),and(xor(t2,t3),not(Y))),xor(t2,xor(t3,Y))) )],[refute_0_18813,refute_0_18838]) ).
cnf(refute_0_18840,plain,
( xor(t4,Y) != xor(t2,xor(t3,Y))
| xor(t2,xor(t3,Y)) = xor(t4,Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t4,Y))),bind(Y0,$fot(xor(t2,xor(t3,Y))))]]) ).
cnf(refute_0_18841,plain,
xor(t2,xor(t3,Y)) = xor(t4,Y),
inference(resolve,[$cnf( $equal(xor(t4,Y),xor(t2,xor(t3,Y))) )],[refute_0_18839,refute_0_18840]) ).
cnf(refute_0_18842,plain,
xor(t2,xor(t3,and(t1,t3))) = xor(t4,and(t1,t3)),
inference(subst,[],[refute_0_18841:[bind(Y,$fot(and(t1,t3)))]]) ).
cnf(refute_0_18843,plain,
( not(a) != xor(t2,xor(t3,and(t1,t3)))
| xor(t2,xor(t3,and(t1,t3))) != xor(t4,and(t1,t3))
| not(a) = xor(t4,and(t1,t3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(a),xor(t4,and(t1,t3))) ),[0],$fot(xor(t2,xor(t3,and(t1,t3))))]]) ).
cnf(refute_0_18844,plain,
( not(a) != xor(t2,xor(t3,and(t1,t3)))
| not(a) = xor(t4,and(t1,t3)) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t3,and(t1,t3))),xor(t4,and(t1,t3))) )],[refute_0_18842,refute_0_18843]) ).
cnf(refute_0_18845,plain,
( xor(a,ll1) != xor(t2,xor(t3,and(t1,t3)))
| not(a) = xor(t4,and(t1,t3)) ),
inference(resolve,[$cnf( $equal(not(a),xor(t2,xor(t3,and(t1,t3)))) )],[refute_0_18801,refute_0_18844]) ).
cnf(refute_0_18846,plain,
not(a) = xor(t4,and(t1,t3)),
inference(resolve,[$cnf( $equal(xor(a,ll1),xor(t2,xor(t3,and(t1,t3)))) )],[refute_0_18799,refute_0_18845]) ).
cnf(refute_0_18847,plain,
xor(t4,b) = xor(b,t4),
inference(subst,[],[refute_0_1913:[bind(X,$fot(b)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_18848,plain,
not(xor(t4,b)) = not(xor(t4,b)),
introduced(tautology,[refl,[$fot(not(xor(t4,b)))]]) ).
cnf(refute_0_18849,plain,
( not(xor(t4,b)) != not(xor(t4,b))
| xor(t4,b) != xor(b,t4)
| not(xor(t4,b)) = not(xor(b,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t4,b)),not(xor(t4,b))) ),[1,0],$fot(xor(b,t4))]]) ).
cnf(refute_0_18850,plain,
( xor(t4,b) != xor(b,t4)
| not(xor(t4,b)) = not(xor(b,t4)) ),
inference(resolve,[$cnf( $equal(not(xor(t4,b)),not(xor(t4,b))) )],[refute_0_18848,refute_0_18849]) ).
cnf(refute_0_18851,plain,
not(xor(t4,b)) = not(xor(b,t4)),
inference(resolve,[$cnf( $equal(xor(t4,b),xor(b,t4)) )],[refute_0_18847,refute_0_18850]) ).
cnf(refute_0_18852,plain,
xor(t4,not(b)) = not(xor(t4,b)),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t4)),bind(X_334,$fot(b))]]) ).
cnf(refute_0_18853,plain,
( not(xor(t4,b)) != not(xor(b,t4))
| xor(t4,not(b)) != not(xor(t4,b))
| xor(t4,not(b)) = not(xor(b,t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t4,not(b)))),bind(Y0,$fot(not(xor(t4,b)))),bind(Z0,$fot(not(xor(b,t4))))]]) ).
cnf(refute_0_18854,plain,
( not(xor(t4,b)) != not(xor(b,t4))
| xor(t4,not(b)) = not(xor(b,t4)) ),
inference(resolve,[$cnf( $equal(xor(t4,not(b)),not(xor(t4,b))) )],[refute_0_18852,refute_0_18853]) ).
cnf(refute_0_18855,plain,
xor(t4,not(b)) = not(xor(b,t4)),
inference(resolve,[$cnf( $equal(not(xor(t4,b)),not(xor(b,t4))) )],[refute_0_18851,refute_0_18854]) ).
cnf(refute_0_18856,plain,
xor(t4,and(t1,t3)) = xor(t4,and(t1,t3)),
introduced(tautology,[refl,[$fot(xor(t4,and(t1,t3)))]]) ).
cnf(refute_0_18857,plain,
( and(t1,t3) != not(b)
| xor(t4,and(t1,t3)) != xor(t4,and(t1,t3))
| xor(t4,and(t1,t3)) = xor(t4,not(b)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,and(t1,t3)),xor(t4,and(t1,t3))) ),[1,1],$fot(not(b))]]) ).
cnf(refute_0_18858,plain,
( and(t1,t3) != not(b)
| xor(t4,and(t1,t3)) = xor(t4,not(b)) ),
inference(resolve,[$cnf( $equal(xor(t4,and(t1,t3)),xor(t4,and(t1,t3))) )],[refute_0_18856,refute_0_18857]) ).
cnf(refute_0_18859,plain,
xor(t4,and(t1,t3)) = xor(t4,not(b)),
inference(resolve,[$cnf( $equal(and(t1,t3),not(b)) )],[refute_0_3032,refute_0_18858]) ).
cnf(refute_0_18860,plain,
( xor(t4,and(t1,t3)) != xor(t4,not(b))
| xor(t4,not(b)) != not(xor(b,t4))
| xor(t4,and(t1,t3)) = not(xor(b,t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t4,and(t1,t3)))),bind(Y0,$fot(xor(t4,not(b)))),bind(Z0,$fot(not(xor(b,t4))))]]) ).
cnf(refute_0_18861,plain,
( xor(t4,not(b)) != not(xor(b,t4))
| xor(t4,and(t1,t3)) = not(xor(b,t4)) ),
inference(resolve,[$cnf( $equal(xor(t4,and(t1,t3)),xor(t4,not(b))) )],[refute_0_18859,refute_0_18860]) ).
cnf(refute_0_18862,plain,
xor(t4,and(t1,t3)) = not(xor(b,t4)),
inference(resolve,[$cnf( $equal(xor(t4,not(b)),not(xor(b,t4))) )],[refute_0_18855,refute_0_18861]) ).
cnf(refute_0_18863,plain,
( not(a) != xor(t4,and(t1,t3))
| xor(t4,and(t1,t3)) != not(xor(b,t4))
| not(a) = not(xor(b,t4)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(a),not(xor(b,t4))) ),[0],$fot(xor(t4,and(t1,t3)))]]) ).
cnf(refute_0_18864,plain,
( not(a) != xor(t4,and(t1,t3))
| not(a) = not(xor(b,t4)) ),
inference(resolve,[$cnf( $equal(xor(t4,and(t1,t3)),not(xor(b,t4))) )],[refute_0_18862,refute_0_18863]) ).
cnf(refute_0_18865,plain,
not(a) = not(xor(b,t4)),
inference(resolve,[$cnf( $equal(not(a),xor(t4,and(t1,t3))) )],[refute_0_18846,refute_0_18864]) ).
cnf(refute_0_18866,plain,
( not(a) != not(xor(b,t4))
| not(xor(b,t4)) = not(a) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(a))),bind(Y0,$fot(not(xor(b,t4))))]]) ).
cnf(refute_0_18867,plain,
not(xor(b,t4)) = not(a),
inference(resolve,[$cnf( $equal(not(a),not(xor(b,t4))) )],[refute_0_18865,refute_0_18866]) ).
cnf(refute_0_18868,plain,
( not(not(xor(b,t4))) != xor(b,t4)
| not(xor(b,t4)) != not(a)
| not(not(a)) = xor(b,t4) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(xor(b,t4))),xor(b,t4)) ),[0,0],$fot(not(a))]]) ).
cnf(refute_0_18869,plain,
( not(not(xor(b,t4))) != xor(b,t4)
| not(not(a)) = xor(b,t4) ),
inference(resolve,[$cnf( $equal(not(xor(b,t4)),not(a)) )],[refute_0_18867,refute_0_18868]) ).
cnf(refute_0_18870,plain,
not(not(a)) = xor(b,t4),
inference(resolve,[$cnf( $equal(not(not(xor(b,t4))),xor(b,t4)) )],[refute_0_18795,refute_0_18869]) ).
cnf(refute_0_18871,plain,
( not(not(a)) != a
| not(not(a)) != xor(b,t4)
| a = xor(b,t4) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(a)),xor(b,t4)) ),[0],$fot(a)]]) ).
cnf(refute_0_18872,plain,
( not(not(a)) != xor(b,t4)
| a = xor(b,t4) ),
inference(resolve,[$cnf( $equal(not(not(a)),a) )],[refute_0_1805,refute_0_18871]) ).
cnf(refute_0_18873,plain,
a = xor(b,t4),
inference(resolve,[$cnf( $equal(not(not(a)),xor(b,t4)) )],[refute_0_18870,refute_0_18872]) ).
cnf(refute_0_18874,plain,
( a != xor(b,t4)
| xor(b,t4) = a ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(a)),bind(Y0,$fot(xor(b,t4)))]]) ).
cnf(refute_0_18875,plain,
xor(b,t4) = a,
inference(resolve,[$cnf( $equal(a,xor(b,t4)) )],[refute_0_18873,refute_0_18874]) ).
cnf(refute_0_18876,plain,
( xor(b,t4) != a
| xor(t1,or(b,not(t4))) != xor(b,t4)
| xor(t1,or(b,not(t4))) = a ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,or(b,not(t4))),xor(b,t4)) ),[1],$fot(a)]]) ).
cnf(refute_0_18877,plain,
( xor(t1,or(b,not(t4))) != xor(b,t4)
| xor(t1,or(b,not(t4))) = a ),
inference(resolve,[$cnf( $equal(xor(b,t4),a) )],[refute_0_18875,refute_0_18876]) ).
cnf(refute_0_18878,plain,
( or(not(t1),and(not(b),t4)) != xor(b,t4)
| xor(t1,or(b,not(t4))) = a ),
inference(resolve,[$cnf( $equal(xor(t1,or(b,not(t4))),xor(b,t4)) )],[refute_0_18794,refute_0_18877]) ).
cnf(refute_0_18879,plain,
xor(t1,or(b,not(t4))) = a,
inference(resolve,[$cnf( $equal(or(not(t1),and(not(b),t4)),xor(b,t4)) )],[refute_0_18739,refute_0_18878]) ).
cnf(refute_0_18880,plain,
( not(xor(t1,or(b,not(t4)))) != xor(t1,not(or(b,not(t4))))
| xor(t1,or(b,not(t4))) != a
| not(a) = xor(t1,not(or(b,not(t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t1,or(b,not(t4)))),xor(t1,not(or(b,not(t4))))) ),[0,0],$fot(a)]]) ).
cnf(refute_0_18881,plain,
( not(xor(t1,or(b,not(t4)))) != xor(t1,not(or(b,not(t4))))
| not(a) = xor(t1,not(or(b,not(t4)))) ),
inference(resolve,[$cnf( $equal(xor(t1,or(b,not(t4))),a) )],[refute_0_18879,refute_0_18880]) ).
cnf(refute_0_18882,plain,
not(a) = xor(t1,not(or(b,not(t4)))),
inference(resolve,[$cnf( $equal(not(xor(t1,or(b,not(t4)))),xor(t1,not(or(b,not(t4))))) )],[refute_0_18722,refute_0_18881]) ).
cnf(refute_0_18883,plain,
and(not(b),t4) = and(t4,not(b)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t4)),bind(Y,$fot(not(b)))]]) ).
cnf(refute_0_18884,plain,
xor(t1,and(not(b),t4)) = xor(t1,and(not(b),t4)),
introduced(tautology,[refl,[$fot(xor(t1,and(not(b),t4)))]]) ).
cnf(refute_0_18885,plain,
( and(not(b),t4) != and(t4,not(b))
| xor(t1,and(not(b),t4)) != xor(t1,and(not(b),t4))
| xor(t1,and(not(b),t4)) = xor(t1,and(t4,not(b))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,and(not(b),t4)),xor(t1,and(not(b),t4))) ),[1,1],$fot(and(t4,not(b)))]]) ).
cnf(refute_0_18886,plain,
( and(not(b),t4) != and(t4,not(b))
| xor(t1,and(not(b),t4)) = xor(t1,and(t4,not(b))) ),
inference(resolve,[$cnf( $equal(xor(t1,and(not(b),t4)),xor(t1,and(not(b),t4))) )],[refute_0_18884,refute_0_18885]) ).
cnf(refute_0_18887,plain,
xor(t1,and(not(b),t4)) = xor(t1,and(t4,not(b))),
inference(resolve,[$cnf( $equal(and(not(b),t4),and(t4,not(b))) )],[refute_0_18883,refute_0_18886]) ).
cnf(refute_0_18888,plain,
not(xor(t1,or(b,not(t4)))) = xor(t1,and(not(b),t4)),
inference(subst,[],[refute_0_7796:[bind(X,$fot(t4)),bind(X_25,$fot(b)),bind(X_377,$fot(t1))]]) ).
cnf(refute_0_18889,plain,
xor(t1,not(or(b,not(t4)))) = not(xor(t1,or(b,not(t4)))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t1)),bind(X_334,$fot(or(b,not(t4))))]]) ).
cnf(refute_0_18890,plain,
( not(xor(t1,or(b,not(t4)))) != xor(t1,and(not(b),t4))
| xor(t1,not(or(b,not(t4)))) != not(xor(t1,or(b,not(t4))))
| xor(t1,not(or(b,not(t4)))) = xor(t1,and(not(b),t4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t1,not(or(b,not(t4)))))),bind(Y0,$fot(not(xor(t1,or(b,not(t4)))))),bind(Z0,$fot(xor(t1,and(not(b),t4))))]]) ).
cnf(refute_0_18891,plain,
( not(xor(t1,or(b,not(t4)))) != xor(t1,and(not(b),t4))
| xor(t1,not(or(b,not(t4)))) = xor(t1,and(not(b),t4)) ),
inference(resolve,[$cnf( $equal(xor(t1,not(or(b,not(t4)))),not(xor(t1,or(b,not(t4))))) )],[refute_0_18889,refute_0_18890]) ).
cnf(refute_0_18892,plain,
xor(t1,not(or(b,not(t4)))) = xor(t1,and(not(b),t4)),
inference(resolve,[$cnf( $equal(not(xor(t1,or(b,not(t4)))),xor(t1,and(not(b),t4))) )],[refute_0_18888,refute_0_18891]) ).
cnf(refute_0_18893,plain,
( xor(t1,and(not(b),t4)) != xor(t1,and(t4,not(b)))
| xor(t1,not(or(b,not(t4)))) != xor(t1,and(not(b),t4))
| xor(t1,not(or(b,not(t4)))) = xor(t1,and(t4,not(b))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t1,not(or(b,not(t4)))))),bind(Y0,$fot(xor(t1,and(not(b),t4)))),bind(Z0,$fot(xor(t1,and(t4,not(b)))))]]) ).
cnf(refute_0_18894,plain,
( xor(t1,and(not(b),t4)) != xor(t1,and(t4,not(b)))
| xor(t1,not(or(b,not(t4)))) = xor(t1,and(t4,not(b))) ),
inference(resolve,[$cnf( $equal(xor(t1,not(or(b,not(t4)))),xor(t1,and(not(b),t4))) )],[refute_0_18892,refute_0_18893]) ).
cnf(refute_0_18895,plain,
xor(t1,not(or(b,not(t4)))) = xor(t1,and(t4,not(b))),
inference(resolve,[$cnf( $equal(xor(t1,and(not(b),t4)),xor(t1,and(t4,not(b)))) )],[refute_0_18887,refute_0_18894]) ).
cnf(refute_0_18896,plain,
( not(a) != xor(t1,not(or(b,not(t4))))
| xor(t1,not(or(b,not(t4)))) != xor(t1,and(t4,not(b)))
| not(a) = xor(t1,and(t4,not(b))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(a),xor(t1,and(t4,not(b)))) ),[0],$fot(xor(t1,not(or(b,not(t4)))))]]) ).
cnf(refute_0_18897,plain,
( not(a) != xor(t1,not(or(b,not(t4))))
| not(a) = xor(t1,and(t4,not(b))) ),
inference(resolve,[$cnf( $equal(xor(t1,not(or(b,not(t4)))),xor(t1,and(t4,not(b)))) )],[refute_0_18895,refute_0_18896]) ).
cnf(refute_0_18898,plain,
not(a) = xor(t1,and(t4,not(b))),
inference(resolve,[$cnf( $equal(not(a),xor(t1,not(or(b,not(t4))))) )],[refute_0_18882,refute_0_18897]) ).
cnf(refute_0_18899,plain,
( not(a) != xor(t1,and(t4,not(b)))
| xor(t1,and(t4,not(b))) = not(a) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(a))),bind(Y0,$fot(xor(t1,and(t4,not(b)))))]]) ).
cnf(refute_0_18900,plain,
xor(t1,and(t4,not(b))) = not(a),
inference(resolve,[$cnf( $equal(not(a),xor(t1,and(t4,not(b)))) )],[refute_0_18898,refute_0_18899]) ).
cnf(refute_0_18901,plain,
( xor(t1,and(t4,not(b))) != not(a)
| xor(t1,xor(t1,and(t4,not(b)))) != and(t4,not(b))
| xor(t1,not(a)) = and(t4,not(b)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,xor(t1,and(t4,not(b)))),and(t4,not(b))) ),[0,1],$fot(not(a))]]) ).
cnf(refute_0_18902,plain,
( xor(t1,xor(t1,and(t4,not(b)))) != and(t4,not(b))
| xor(t1,not(a)) = and(t4,not(b)) ),
inference(resolve,[$cnf( $equal(xor(t1,and(t4,not(b))),not(a)) )],[refute_0_18900,refute_0_18901]) ).
cnf(refute_0_18903,plain,
xor(t1,not(a)) = and(t4,not(b)),
inference(resolve,[$cnf( $equal(xor(t1,xor(t1,and(t4,not(b)))),and(t4,not(b))) )],[refute_0_18721,refute_0_18902]) ).
cnf(refute_0_18904,plain,
not(xor(a,t1)) = not(xor(a,t1)),
introduced(tautology,[refl,[$fot(not(xor(a,t1)))]]) ).
cnf(refute_0_18905,plain,
( not(xor(a,t1)) != not(xor(a,t1))
| xor(a,t1) != t2
| not(xor(a,t1)) = not(t2) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(a,t1)),not(xor(a,t1))) ),[1,0],$fot(t2)]]) ).
cnf(refute_0_18906,plain,
( xor(a,t1) != t2
| not(xor(a,t1)) = not(t2) ),
inference(resolve,[$cnf( $equal(not(xor(a,t1)),not(xor(a,t1))) )],[refute_0_18904,refute_0_18905]) ).
cnf(refute_0_18907,plain,
not(xor(a,t1)) = not(t2),
inference(resolve,[$cnf( $equal(xor(a,t1),t2) )],[refute_0_367,refute_0_18906]) ).
cnf(refute_0_18908,plain,
xor(X,xor(carry,xor(sum,xor(t2,or(cin,sum))))) = xor(xor(X,carry),xor(sum,xor(t2,or(cin,sum)))),
inference(subst,[],[xor_associative:[bind(Y,$fot(carry)),bind(Z,$fot(xor(sum,xor(t2,or(cin,sum)))))]]) ).
cnf(refute_0_18909,plain,
not(not(xor(carry,xor(sum,xor(t2,or(cin,sum)))))) = xor(carry,xor(sum,xor(t2,or(cin,sum)))),
inference(subst,[],[not_involution:[bind(X,$fot(xor(carry,xor(sum,xor(t2,or(cin,sum))))))]]) ).
cnf(refute_0_18910,plain,
xor(a,xor(t1,xor(X_380,xor(t1,X_380)))) = xor(t2,xor(X_380,xor(t1,X_380))),
inference(subst,[],[refute_0_370:[bind(X_335,$fot(xor(X_380,xor(t1,X_380))))]]) ).
cnf(refute_0_18911,plain,
ll0 = xor(t1,xor(X_380,xor(t1,X_380))),
inference(subst,[],[refute_0_13506:[bind(X_333,$fot(t1)),bind(X_334,$fot(X_380))]]) ).
cnf(refute_0_18912,plain,
( ll0 != xor(t1,xor(X_380,xor(t1,X_380)))
| xor(t1,xor(X_380,xor(t1,X_380))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(xor(t1,xor(X_380,xor(t1,X_380)))))]]) ).
cnf(refute_0_18913,plain,
xor(t1,xor(X_380,xor(t1,X_380))) = ll0,
inference(resolve,[$cnf( $equal(ll0,xor(t1,xor(X_380,xor(t1,X_380)))) )],[refute_0_18911,refute_0_18912]) ).
cnf(refute_0_18914,plain,
( xor(a,xor(t1,xor(X_380,xor(t1,X_380)))) != xor(t2,xor(X_380,xor(t1,X_380)))
| xor(t1,xor(X_380,xor(t1,X_380))) != ll0
| xor(a,ll0) = xor(t2,xor(X_380,xor(t1,X_380))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t1,xor(X_380,xor(t1,X_380)))),xor(t2,xor(X_380,xor(t1,X_380)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_18915,plain,
( xor(a,xor(t1,xor(X_380,xor(t1,X_380)))) != xor(t2,xor(X_380,xor(t1,X_380)))
| xor(a,ll0) = xor(t2,xor(X_380,xor(t1,X_380))) ),
inference(resolve,[$cnf( $equal(xor(t1,xor(X_380,xor(t1,X_380))),ll0) )],[refute_0_18913,refute_0_18914]) ).
cnf(refute_0_18916,plain,
xor(a,ll0) = xor(t2,xor(X_380,xor(t1,X_380))),
inference(resolve,[$cnf( $equal(xor(a,xor(t1,xor(X_380,xor(t1,X_380)))),xor(t2,xor(X_380,xor(t1,X_380)))) )],[refute_0_18910,refute_0_18915]) ).
cnf(refute_0_18917,plain,
( xor(a,ll0) != a
| xor(a,ll0) != xor(t2,xor(X_380,xor(t1,X_380)))
| a = xor(t2,xor(X_380,xor(t1,X_380))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,ll0),xor(t2,xor(X_380,xor(t1,X_380)))) ),[0],$fot(a)]]) ).
cnf(refute_0_18918,plain,
( xor(a,ll0) != xor(t2,xor(X_380,xor(t1,X_380)))
| a = xor(t2,xor(X_380,xor(t1,X_380))) ),
inference(resolve,[$cnf( $equal(xor(a,ll0),a) )],[refute_0_2665,refute_0_18917]) ).
cnf(refute_0_18919,plain,
a = xor(t2,xor(X_380,xor(t1,X_380))),
inference(resolve,[$cnf( $equal(xor(a,ll0),xor(t2,xor(X_380,xor(t1,X_380)))) )],[refute_0_18916,refute_0_18918]) ).
cnf(refute_0_18920,plain,
a = xor(t2,xor(or(cin,sum),xor(t1,or(cin,sum)))),
inference(subst,[],[refute_0_18919:[bind(X_380,$fot(or(cin,sum)))]]) ).
cnf(refute_0_18921,plain,
( a != xor(t2,xor(or(cin,sum),xor(t1,or(cin,sum))))
| xor(t1,or(cin,sum)) != not(xor(carry,sum))
| a = xor(t2,xor(or(cin,sum),not(xor(carry,sum)))) ),
introduced(tautology,[equality,[$cnf( $equal(a,xor(t2,xor(or(cin,sum),xor(t1,or(cin,sum))))) ),[1,1,1],$fot(not(xor(carry,sum)))]]) ).
cnf(refute_0_18922,plain,
( a != xor(t2,xor(or(cin,sum),xor(t1,or(cin,sum))))
| a = xor(t2,xor(or(cin,sum),not(xor(carry,sum)))) ),
inference(resolve,[$cnf( $equal(xor(t1,or(cin,sum)),not(xor(carry,sum))) )],[refute_0_16878,refute_0_18921]) ).
cnf(refute_0_18923,plain,
a = xor(t2,xor(or(cin,sum),not(xor(carry,sum)))),
inference(resolve,[$cnf( $equal(a,xor(t2,xor(or(cin,sum),xor(t1,or(cin,sum))))) )],[refute_0_18920,refute_0_18922]) ).
cnf(refute_0_18924,plain,
xor(t2,xor(sum,or(cin,sum))) = xor(sum,xor(t2,or(cin,sum))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(sum)),bind(X_334,$fot(t2)),bind(X_335,$fot(or(cin,sum)))]]) ).
cnf(refute_0_18925,plain,
xor(carry,xor(t2,xor(sum,or(cin,sum)))) = xor(carry,xor(t2,xor(sum,or(cin,sum)))),
introduced(tautology,[refl,[$fot(xor(carry,xor(t2,xor(sum,or(cin,sum)))))]]) ).
cnf(refute_0_18926,plain,
( xor(carry,xor(t2,xor(sum,or(cin,sum)))) != xor(carry,xor(t2,xor(sum,or(cin,sum))))
| xor(t2,xor(sum,or(cin,sum))) != xor(sum,xor(t2,or(cin,sum)))
| xor(carry,xor(t2,xor(sum,or(cin,sum)))) = xor(carry,xor(sum,xor(t2,or(cin,sum)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(t2,xor(sum,or(cin,sum)))),xor(carry,xor(t2,xor(sum,or(cin,sum))))) ),[1,1],$fot(xor(sum,xor(t2,or(cin,sum))))]]) ).
cnf(refute_0_18927,plain,
( xor(t2,xor(sum,or(cin,sum))) != xor(sum,xor(t2,or(cin,sum)))
| xor(carry,xor(t2,xor(sum,or(cin,sum)))) = xor(carry,xor(sum,xor(t2,or(cin,sum)))) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(t2,xor(sum,or(cin,sum)))),xor(carry,xor(t2,xor(sum,or(cin,sum))))) )],[refute_0_18925,refute_0_18926]) ).
cnf(refute_0_18928,plain,
xor(carry,xor(t2,xor(sum,or(cin,sum)))) = xor(carry,xor(sum,xor(t2,or(cin,sum)))),
inference(resolve,[$cnf( $equal(xor(t2,xor(sum,or(cin,sum))),xor(sum,xor(t2,or(cin,sum)))) )],[refute_0_18924,refute_0_18927]) ).
cnf(refute_0_18929,plain,
xor(t2,xor(carry,xor(sum,or(cin,sum)))) = xor(carry,xor(t2,xor(sum,or(cin,sum)))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(carry)),bind(X_334,$fot(t2)),bind(X_335,$fot(xor(sum,or(cin,sum))))]]) ).
cnf(refute_0_18930,plain,
( xor(carry,xor(t2,xor(sum,or(cin,sum)))) != xor(carry,xor(sum,xor(t2,or(cin,sum))))
| xor(t2,xor(carry,xor(sum,or(cin,sum)))) != xor(carry,xor(t2,xor(sum,or(cin,sum))))
| xor(t2,xor(carry,xor(sum,or(cin,sum)))) = xor(carry,xor(sum,xor(t2,or(cin,sum)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,xor(carry,xor(sum,or(cin,sum)))))),bind(Y0,$fot(xor(carry,xor(t2,xor(sum,or(cin,sum)))))),bind(Z0,$fot(xor(carry,xor(sum,xor(t2,or(cin,sum))))))]]) ).
cnf(refute_0_18931,plain,
( xor(carry,xor(t2,xor(sum,or(cin,sum)))) != xor(carry,xor(sum,xor(t2,or(cin,sum))))
| xor(t2,xor(carry,xor(sum,or(cin,sum)))) = xor(carry,xor(sum,xor(t2,or(cin,sum)))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(carry,xor(sum,or(cin,sum)))),xor(carry,xor(t2,xor(sum,or(cin,sum))))) )],[refute_0_18929,refute_0_18930]) ).
cnf(refute_0_18932,plain,
xor(t2,xor(carry,xor(sum,or(cin,sum)))) = xor(carry,xor(sum,xor(t2,or(cin,sum)))),
inference(resolve,[$cnf( $equal(xor(carry,xor(t2,xor(sum,or(cin,sum)))),xor(carry,xor(sum,xor(t2,or(cin,sum))))) )],[refute_0_18928,refute_0_18931]) ).
cnf(refute_0_18933,plain,
not(xor(t2,xor(carry,xor(sum,or(cin,sum))))) = not(xor(t2,xor(carry,xor(sum,or(cin,sum))))),
introduced(tautology,[refl,[$fot(not(xor(t2,xor(carry,xor(sum,or(cin,sum))))))]]) ).
cnf(refute_0_18934,plain,
( not(xor(t2,xor(carry,xor(sum,or(cin,sum))))) != not(xor(t2,xor(carry,xor(sum,or(cin,sum)))))
| xor(t2,xor(carry,xor(sum,or(cin,sum)))) != xor(carry,xor(sum,xor(t2,or(cin,sum))))
| not(xor(t2,xor(carry,xor(sum,or(cin,sum))))) = not(xor(carry,xor(sum,xor(t2,or(cin,sum))))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t2,xor(carry,xor(sum,or(cin,sum))))),not(xor(t2,xor(carry,xor(sum,or(cin,sum)))))) ),[1,0],$fot(xor(carry,xor(sum,xor(t2,or(cin,sum)))))]]) ).
cnf(refute_0_18935,plain,
( xor(t2,xor(carry,xor(sum,or(cin,sum)))) != xor(carry,xor(sum,xor(t2,or(cin,sum))))
| not(xor(t2,xor(carry,xor(sum,or(cin,sum))))) = not(xor(carry,xor(sum,xor(t2,or(cin,sum))))) ),
inference(resolve,[$cnf( $equal(not(xor(t2,xor(carry,xor(sum,or(cin,sum))))),not(xor(t2,xor(carry,xor(sum,or(cin,sum)))))) )],[refute_0_18933,refute_0_18934]) ).
cnf(refute_0_18936,plain,
not(xor(t2,xor(carry,xor(sum,or(cin,sum))))) = not(xor(carry,xor(sum,xor(t2,or(cin,sum))))),
inference(resolve,[$cnf( $equal(xor(t2,xor(carry,xor(sum,or(cin,sum)))),xor(carry,xor(sum,xor(t2,or(cin,sum))))) )],[refute_0_18932,refute_0_18935]) ).
cnf(refute_0_18937,plain,
xor(t2,not(xor(carry,xor(sum,or(cin,sum))))) = not(xor(t2,xor(carry,xor(sum,or(cin,sum))))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t2)),bind(X_334,$fot(xor(carry,xor(sum,or(cin,sum)))))]]) ).
cnf(refute_0_18938,plain,
( not(xor(t2,xor(carry,xor(sum,or(cin,sum))))) != not(xor(carry,xor(sum,xor(t2,or(cin,sum)))))
| xor(t2,not(xor(carry,xor(sum,or(cin,sum))))) != not(xor(t2,xor(carry,xor(sum,or(cin,sum)))))
| xor(t2,not(xor(carry,xor(sum,or(cin,sum))))) = not(xor(carry,xor(sum,xor(t2,or(cin,sum))))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,not(xor(carry,xor(sum,or(cin,sum))))))),bind(Y0,$fot(not(xor(t2,xor(carry,xor(sum,or(cin,sum))))))),bind(Z0,$fot(not(xor(carry,xor(sum,xor(t2,or(cin,sum)))))))]]) ).
cnf(refute_0_18939,plain,
( not(xor(t2,xor(carry,xor(sum,or(cin,sum))))) != not(xor(carry,xor(sum,xor(t2,or(cin,sum)))))
| xor(t2,not(xor(carry,xor(sum,or(cin,sum))))) = not(xor(carry,xor(sum,xor(t2,or(cin,sum))))) ),
inference(resolve,[$cnf( $equal(xor(t2,not(xor(carry,xor(sum,or(cin,sum))))),not(xor(t2,xor(carry,xor(sum,or(cin,sum)))))) )],[refute_0_18937,refute_0_18938]) ).
cnf(refute_0_18940,plain,
xor(t2,not(xor(carry,xor(sum,or(cin,sum))))) = not(xor(carry,xor(sum,xor(t2,or(cin,sum))))),
inference(resolve,[$cnf( $equal(not(xor(t2,xor(carry,xor(sum,or(cin,sum))))),not(xor(carry,xor(sum,xor(t2,or(cin,sum)))))) )],[refute_0_18936,refute_0_18939]) ).
cnf(refute_0_18941,plain,
xor(X,xor(a,xor(t3,t7))) = xor(xor(X,a),xor(t3,t7)),
inference(subst,[],[xor_associative:[bind(Y,$fot(a)),bind(Z,$fot(xor(t3,t7)))]]) ).
cnf(refute_0_18942,plain,
( xor(X,xor(a,xor(t3,t7))) != xor(xor(X,a),xor(t3,t7))
| xor(a,xor(t3,t7)) != xor(carry,sum)
| xor(X,xor(carry,sum)) = xor(xor(X,a),xor(t3,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,xor(a,xor(t3,t7))),xor(xor(X,a),xor(t3,t7))) ),[0,1],$fot(xor(carry,sum))]]) ).
cnf(refute_0_18943,plain,
( xor(X,xor(a,xor(t3,t7))) != xor(xor(X,a),xor(t3,t7))
| xor(X,xor(carry,sum)) = xor(xor(X,a),xor(t3,t7)) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,t7)),xor(carry,sum)) )],[refute_0_4893,refute_0_18942]) ).
cnf(refute_0_18944,plain,
xor(X,xor(carry,sum)) = xor(xor(X,a),xor(t3,t7)),
inference(resolve,[$cnf( $equal(xor(X,xor(a,xor(t3,t7))),xor(xor(X,a),xor(t3,t7))) )],[refute_0_18941,refute_0_18943]) ).
cnf(refute_0_18945,plain,
xor(a,xor(t3,xor(t7,X))) = xor(carry,xor(sum,X)),
inference(subst,[],[refute_0_4908:[bind(Z,$fot(X))]]) ).
cnf(refute_0_18946,plain,
xor(t3,xor(a,xor(t7,X))) = xor(a,xor(t3,xor(t7,X))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(a)),bind(X_334,$fot(t3)),bind(X_335,$fot(xor(t7,X)))]]) ).
cnf(refute_0_18947,plain,
( xor(a,xor(t3,xor(t7,X))) != xor(carry,xor(sum,X))
| xor(t3,xor(a,xor(t7,X))) != xor(a,xor(t3,xor(t7,X)))
| xor(t3,xor(a,xor(t7,X))) = xor(carry,xor(sum,X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t3,xor(a,xor(t7,X))))),bind(Y0,$fot(xor(a,xor(t3,xor(t7,X))))),bind(Z0,$fot(xor(carry,xor(sum,X))))]]) ).
cnf(refute_0_18948,plain,
( xor(a,xor(t3,xor(t7,X))) != xor(carry,xor(sum,X))
| xor(t3,xor(a,xor(t7,X))) = xor(carry,xor(sum,X)) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(a,xor(t7,X))),xor(a,xor(t3,xor(t7,X)))) )],[refute_0_18946,refute_0_18947]) ).
cnf(refute_0_18949,plain,
xor(t3,xor(a,xor(t7,X))) = xor(carry,xor(sum,X)),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,xor(t7,X))),xor(carry,xor(sum,X))) )],[refute_0_18945,refute_0_18948]) ).
cnf(refute_0_18950,plain,
xor(t7,xor(X,a)) = xor(a,xor(t7,X)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(a)),bind(X_333,$fot(t7)),bind(X_334,$fot(X))]]) ).
cnf(refute_0_18951,plain,
xor(t3,xor(t7,xor(X,a))) = xor(t3,xor(t7,xor(X,a))),
introduced(tautology,[refl,[$fot(xor(t3,xor(t7,xor(X,a))))]]) ).
cnf(refute_0_18952,plain,
( xor(t3,xor(t7,xor(X,a))) != xor(t3,xor(t7,xor(X,a)))
| xor(t7,xor(X,a)) != xor(a,xor(t7,X))
| xor(t3,xor(t7,xor(X,a))) = xor(t3,xor(a,xor(t7,X))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,xor(t7,xor(X,a))),xor(t3,xor(t7,xor(X,a)))) ),[1,1],$fot(xor(a,xor(t7,X)))]]) ).
cnf(refute_0_18953,plain,
( xor(t7,xor(X,a)) != xor(a,xor(t7,X))
| xor(t3,xor(t7,xor(X,a))) = xor(t3,xor(a,xor(t7,X))) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(t7,xor(X,a))),xor(t3,xor(t7,xor(X,a)))) )],[refute_0_18951,refute_0_18952]) ).
cnf(refute_0_18954,plain,
xor(t3,xor(t7,xor(X,a))) = xor(t3,xor(a,xor(t7,X))),
inference(resolve,[$cnf( $equal(xor(t7,xor(X,a)),xor(a,xor(t7,X))) )],[refute_0_18950,refute_0_18953]) ).
cnf(refute_0_18955,plain,
( xor(t3,xor(a,xor(t7,X))) != xor(carry,xor(sum,X))
| xor(t3,xor(t7,xor(X,a))) != xor(t3,xor(a,xor(t7,X)))
| xor(t3,xor(t7,xor(X,a))) = xor(carry,xor(sum,X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t3,xor(t7,xor(X,a))))),bind(Y0,$fot(xor(t3,xor(a,xor(t7,X))))),bind(Z0,$fot(xor(carry,xor(sum,X))))]]) ).
cnf(refute_0_18956,plain,
( xor(t3,xor(a,xor(t7,X))) != xor(carry,xor(sum,X))
| xor(t3,xor(t7,xor(X,a))) = xor(carry,xor(sum,X)) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(t7,xor(X,a))),xor(t3,xor(a,xor(t7,X)))) )],[refute_0_18954,refute_0_18955]) ).
cnf(refute_0_18957,plain,
xor(t3,xor(t7,xor(X,a))) = xor(carry,xor(sum,X)),
inference(resolve,[$cnf( $equal(xor(t3,xor(a,xor(t7,X))),xor(carry,xor(sum,X))) )],[refute_0_18949,refute_0_18956]) ).
cnf(refute_0_18958,plain,
xor(X,xor(t2,xor(t4,t7))) = xor(xor(X,t2),xor(t4,t7)),
inference(subst,[],[xor_associative:[bind(Y,$fot(t2)),bind(Z,$fot(xor(t4,t7)))]]) ).
cnf(refute_0_18959,plain,
or(and(t2,not(xor(t4,t7))),and(not(t2),xor(t4,t7))) = xor(t2,xor(t4,t7)),
inference(subst,[],[refute_0_9:[bind(X,$fot(t2)),bind(Y,$fot(xor(t4,t7)))]]) ).
cnf(refute_0_18960,plain,
and(or(t2,not(xor(t4,t7))),not(or(not(xor(t4,t7)),t2))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(not(xor(t4,t7)))),bind(X_28,$fot(t2))]]) ).
cnf(refute_0_18961,plain,
or(t2,or(not(not(t4)),X_39)) = or(t2,or(not(t4),or(not(not(t4)),X_39))),
inference(subst,[],[refute_0_17500:[bind(X_39,$fot(or(not(not(t4)),X_39)))]]) ).
cnf(refute_0_18962,plain,
( or(not(t4),or(not(not(t4)),X_39)) != ll1
| or(t2,or(not(not(t4)),X_39)) != or(t2,or(not(t4),or(not(not(t4)),X_39)))
| or(t2,or(not(not(t4)),X_39)) = or(t2,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,or(not(not(t4)),X_39)),or(t2,or(not(t4),or(not(not(t4)),X_39)))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_18963,plain,
( or(t2,or(not(not(t4)),X_39)) != or(t2,or(not(t4),or(not(not(t4)),X_39)))
| or(t2,or(not(not(t4)),X_39)) = or(t2,ll1) ),
inference(resolve,[$cnf( $equal(or(not(t4),or(not(not(t4)),X_39)),ll1) )],[refute_0_635,refute_0_18962]) ).
cnf(refute_0_18964,plain,
or(t2,or(not(not(t4)),X_39)) = or(t2,ll1),
inference(resolve,[$cnf( $equal(or(t2,or(not(not(t4)),X_39)),or(t2,or(not(t4),or(not(not(t4)),X_39)))) )],[refute_0_18961,refute_0_18963]) ).
cnf(refute_0_18965,plain,
or(t2,or(not(not(t4)),X_39)) = or(t2,or(not(not(t4)),X_39)),
introduced(tautology,[refl,[$fot(or(t2,or(not(not(t4)),X_39)))]]) ).
cnf(refute_0_18966,plain,
( or(not(not(t4)),X_39) != or(t4,X_39)
| or(t2,or(not(not(t4)),X_39)) != or(t2,or(not(not(t4)),X_39))
| or(t2,or(not(not(t4)),X_39)) = or(t2,or(t4,X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,or(not(not(t4)),X_39)),or(t2,or(not(not(t4)),X_39))) ),[1,1],$fot(or(t4,X_39))]]) ).
cnf(refute_0_18967,plain,
( or(not(not(t4)),X_39) != or(t4,X_39)
| or(t2,or(not(not(t4)),X_39)) = or(t2,or(t4,X_39)) ),
inference(resolve,[$cnf( $equal(or(t2,or(not(not(t4)),X_39)),or(t2,or(not(not(t4)),X_39))) )],[refute_0_18965,refute_0_18966]) ).
cnf(refute_0_18968,plain,
or(t2,or(not(not(t4)),X_39)) = or(t2,or(t4,X_39)),
inference(resolve,[$cnf( $equal(or(not(not(t4)),X_39),or(t4,X_39)) )],[refute_0_643,refute_0_18967]) ).
cnf(refute_0_18969,plain,
( or(t2,or(not(not(t4)),X_39)) != or(t2,ll1)
| or(t2,or(not(not(t4)),X_39)) != or(t2,or(t4,X_39))
| or(t2,or(t4,X_39)) = or(t2,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,or(not(not(t4)),X_39)),or(t2,ll1)) ),[0],$fot(or(t2,or(t4,X_39)))]]) ).
cnf(refute_0_18970,plain,
( or(t2,or(not(not(t4)),X_39)) != or(t2,ll1)
| or(t2,or(t4,X_39)) = or(t2,ll1) ),
inference(resolve,[$cnf( $equal(or(t2,or(not(not(t4)),X_39)),or(t2,or(t4,X_39))) )],[refute_0_18968,refute_0_18969]) ).
cnf(refute_0_18971,plain,
or(t2,ll1) = ll1,
inference(subst,[],[or_boundedness:[bind(X,$fot(t2))]]) ).
cnf(refute_0_18972,plain,
( or(t2,ll1) != ll1
| or(t2,or(t4,X_39)) != or(t2,ll1)
| or(t2,or(t4,X_39)) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,or(t4,X_39)),or(t2,ll1)) ),[1],$fot(ll1)]]) ).
cnf(refute_0_18973,plain,
( or(t2,or(t4,X_39)) != or(t2,ll1)
| or(t2,or(t4,X_39)) = ll1 ),
inference(resolve,[$cnf( $equal(or(t2,ll1),ll1) )],[refute_0_18971,refute_0_18972]) ).
cnf(refute_0_18974,plain,
( or(t2,or(not(not(t4)),X_39)) != or(t2,ll1)
| or(t2,or(t4,X_39)) = ll1 ),
inference(resolve,[$cnf( $equal(or(t2,or(t4,X_39)),or(t2,ll1)) )],[refute_0_18970,refute_0_18973]) ).
cnf(refute_0_18975,plain,
or(t2,or(t4,X_39)) = ll1,
inference(resolve,[$cnf( $equal(or(t2,or(not(not(t4)),X_39)),or(t2,ll1)) )],[refute_0_18964,refute_0_18974]) ).
cnf(refute_0_18976,plain,
or(t2,or(t4,not(t7))) = ll1,
inference(subst,[],[refute_0_18975:[bind(X_39,$fot(not(t7)))]]) ).
cnf(refute_0_18977,plain,
( or(t2,or(t4,not(t7))) != ll1
| or(t4,not(t7)) != not(xor(t4,t7))
| or(t2,not(xor(t4,t7))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,or(t4,not(t7))),ll1) ),[0,1],$fot(not(xor(t4,t7)))]]) ).
cnf(refute_0_18978,plain,
( or(t2,or(t4,not(t7))) != ll1
| or(t2,not(xor(t4,t7))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t4,not(t7)),not(xor(t4,t7))) )],[refute_0_791,refute_0_18977]) ).
cnf(refute_0_18979,plain,
or(t2,not(xor(t4,t7))) = ll1,
inference(resolve,[$cnf( $equal(or(t2,or(t4,not(t7))),ll1) )],[refute_0_18976,refute_0_18978]) ).
cnf(refute_0_18980,plain,
( and(or(t2,not(xor(t4,t7))),not(or(not(xor(t4,t7)),t2))) != ll0
| or(t2,not(xor(t4,t7))) != ll1
| and(ll1,not(or(not(xor(t4,t7)),t2))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(t2,not(xor(t4,t7))),not(or(not(xor(t4,t7)),t2))),ll0) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_18981,plain,
( and(or(t2,not(xor(t4,t7))),not(or(not(xor(t4,t7)),t2))) != ll0
| and(ll1,not(or(not(xor(t4,t7)),t2))) = ll0 ),
inference(resolve,[$cnf( $equal(or(t2,not(xor(t4,t7))),ll1) )],[refute_0_18979,refute_0_18980]) ).
cnf(refute_0_18982,plain,
and(ll1,not(or(not(xor(t4,t7)),t2))) = ll0,
inference(resolve,[$cnf( $equal(and(or(t2,not(xor(t4,t7))),not(or(not(xor(t4,t7)),t2))),ll0) )],[refute_0_18960,refute_0_18981]) ).
cnf(refute_0_18983,plain,
not(or(t2,not(xor(t4,t7)))) = and(not(t2),xor(t4,t7)),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(t4,t7))),bind(X_25,$fot(t2))]]) ).
cnf(refute_0_18984,plain,
and(ll1,not(or(t2,not(xor(t4,t7))))) = not(or(t2,not(xor(t4,t7)))),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(or(t2,not(xor(t4,t7))))))]]) ).
cnf(refute_0_18985,plain,
( and(ll1,not(or(t2,not(xor(t4,t7))))) != not(or(t2,not(xor(t4,t7))))
| not(or(t2,not(xor(t4,t7)))) != and(not(t2),xor(t4,t7))
| and(ll1,not(or(t2,not(xor(t4,t7))))) = and(not(t2),xor(t4,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(t2,not(xor(t4,t7))))))),bind(Y0,$fot(not(or(t2,not(xor(t4,t7)))))),bind(Z0,$fot(and(not(t2),xor(t4,t7))))]]) ).
cnf(refute_0_18986,plain,
( not(or(t2,not(xor(t4,t7)))) != and(not(t2),xor(t4,t7))
| and(ll1,not(or(t2,not(xor(t4,t7))))) = and(not(t2),xor(t4,t7)) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t2,not(xor(t4,t7))))),not(or(t2,not(xor(t4,t7))))) )],[refute_0_18984,refute_0_18985]) ).
cnf(refute_0_18987,plain,
and(ll1,not(or(t2,not(xor(t4,t7))))) = and(not(t2),xor(t4,t7)),
inference(resolve,[$cnf( $equal(not(or(t2,not(xor(t4,t7)))),and(not(t2),xor(t4,t7))) )],[refute_0_18983,refute_0_18986]) ).
cnf(refute_0_18988,plain,
and(ll1,not(or(not(xor(t4,t7)),t2))) = and(ll1,not(or(t2,not(xor(t4,t7))))),
inference(subst,[],[refute_0_815:[bind(X_25,$fot(t2)),bind(X_26,$fot(not(xor(t4,t7)))),bind(X_29,$fot(ll1))]]) ).
cnf(refute_0_18989,plain,
( and(ll1,not(or(not(xor(t4,t7)),t2))) != and(ll1,not(or(t2,not(xor(t4,t7)))))
| and(ll1,not(or(t2,not(xor(t4,t7))))) != and(not(t2),xor(t4,t7))
| and(ll1,not(or(not(xor(t4,t7)),t2))) = and(not(t2),xor(t4,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(xor(t4,t7)),t2))))),bind(Y0,$fot(and(ll1,not(or(t2,not(xor(t4,t7))))))),bind(Z0,$fot(and(not(t2),xor(t4,t7))))]]) ).
cnf(refute_0_18990,plain,
( and(ll1,not(or(t2,not(xor(t4,t7))))) != and(not(t2),xor(t4,t7))
| and(ll1,not(or(not(xor(t4,t7)),t2))) = and(not(t2),xor(t4,t7)) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t4,t7)),t2))),and(ll1,not(or(t2,not(xor(t4,t7)))))) )],[refute_0_18988,refute_0_18989]) ).
cnf(refute_0_18991,plain,
and(ll1,not(or(not(xor(t4,t7)),t2))) = and(not(t2),xor(t4,t7)),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t2,not(xor(t4,t7))))),and(not(t2),xor(t4,t7))) )],[refute_0_18987,refute_0_18990]) ).
cnf(refute_0_18992,plain,
( and(ll1,not(or(not(xor(t4,t7)),t2))) != and(not(t2),xor(t4,t7))
| and(ll1,not(or(not(xor(t4,t7)),t2))) != ll0
| and(not(t2),xor(t4,t7)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(ll1,not(or(not(xor(t4,t7)),t2))),ll0) ),[0],$fot(and(not(t2),xor(t4,t7)))]]) ).
cnf(refute_0_18993,plain,
( and(ll1,not(or(not(xor(t4,t7)),t2))) != ll0
| and(not(t2),xor(t4,t7)) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t4,t7)),t2))),and(not(t2),xor(t4,t7))) )],[refute_0_18991,refute_0_18992]) ).
cnf(refute_0_18994,plain,
and(not(t2),xor(t4,t7)) = ll0,
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t4,t7)),t2))),ll0) )],[refute_0_18982,refute_0_18993]) ).
cnf(refute_0_18995,plain,
( and(not(t2),xor(t4,t7)) != ll0
| or(and(t2,not(xor(t4,t7))),and(not(t2),xor(t4,t7))) != xor(t2,xor(t4,t7))
| or(and(t2,not(xor(t4,t7))),ll0) = xor(t2,xor(t4,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t2,not(xor(t4,t7))),and(not(t2),xor(t4,t7))),xor(t2,xor(t4,t7))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_18996,plain,
( or(and(t2,not(xor(t4,t7))),and(not(t2),xor(t4,t7))) != xor(t2,xor(t4,t7))
| or(and(t2,not(xor(t4,t7))),ll0) = xor(t2,xor(t4,t7)) ),
inference(resolve,[$cnf( $equal(and(not(t2),xor(t4,t7)),ll0) )],[refute_0_18994,refute_0_18995]) ).
cnf(refute_0_18997,plain,
or(and(t2,not(xor(t4,t7))),ll0) = xor(t2,xor(t4,t7)),
inference(resolve,[$cnf( $equal(or(and(t2,not(xor(t4,t7))),and(not(t2),xor(t4,t7))),xor(t2,xor(t4,t7))) )],[refute_0_18959,refute_0_18996]) ).
cnf(refute_0_18998,plain,
or(and(t2,not(xor(t4,t7))),ll0) = and(t2,not(xor(t4,t7))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t2,not(xor(t4,t7)))))]]) ).
cnf(refute_0_18999,plain,
( or(and(t2,not(xor(t4,t7))),ll0) != and(t2,not(xor(t4,t7)))
| or(and(t2,not(xor(t4,t7))),ll0) != xor(t2,xor(t4,t7))
| and(t2,not(xor(t4,t7))) = xor(t2,xor(t4,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t2,not(xor(t4,t7))),ll0),xor(t2,xor(t4,t7))) ),[0],$fot(and(t2,not(xor(t4,t7))))]]) ).
cnf(refute_0_19000,plain,
( or(and(t2,not(xor(t4,t7))),ll0) != xor(t2,xor(t4,t7))
| and(t2,not(xor(t4,t7))) = xor(t2,xor(t4,t7)) ),
inference(resolve,[$cnf( $equal(or(and(t2,not(xor(t4,t7))),ll0),and(t2,not(xor(t4,t7)))) )],[refute_0_18998,refute_0_18999]) ).
cnf(refute_0_19001,plain,
and(t2,not(xor(t4,t7))) = xor(t2,xor(t4,t7)),
inference(resolve,[$cnf( $equal(or(and(t2,not(xor(t4,t7))),ll0),xor(t2,xor(t4,t7))) )],[refute_0_18997,refute_0_19000]) ).
cnf(refute_0_19002,plain,
and(t2,not(xor(t4,t7))) = and(t2,not(xor(t4,t7))),
introduced(tautology,[refl,[$fot(and(t2,not(xor(t4,t7))))]]) ).
cnf(refute_0_19003,plain,
( and(t2,not(xor(t4,t7))) != and(t2,not(xor(t4,t7)))
| not(xor(t4,t7)) != or(sum,t4)
| and(t2,not(xor(t4,t7))) = and(t2,or(sum,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,not(xor(t4,t7))),and(t2,not(xor(t4,t7)))) ),[1,1],$fot(or(sum,t4))]]) ).
cnf(refute_0_19004,plain,
( not(xor(t4,t7)) != or(sum,t4)
| and(t2,not(xor(t4,t7))) = and(t2,or(sum,t4)) ),
inference(resolve,[$cnf( $equal(and(t2,not(xor(t4,t7))),and(t2,not(xor(t4,t7)))) )],[refute_0_19002,refute_0_19003]) ).
cnf(refute_0_19005,plain,
and(t2,not(xor(t4,t7))) = and(t2,or(sum,t4)),
inference(resolve,[$cnf( $equal(not(xor(t4,t7)),or(sum,t4)) )],[refute_0_1173,refute_0_19004]) ).
cnf(refute_0_19006,plain,
( and(t2,not(xor(t4,t7))) != and(t2,or(sum,t4))
| and(t2,not(xor(t4,t7))) != xor(t2,xor(t4,t7))
| and(t2,or(sum,t4)) = xor(t2,xor(t4,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,not(xor(t4,t7))),xor(t2,xor(t4,t7))) ),[0],$fot(and(t2,or(sum,t4)))]]) ).
cnf(refute_0_19007,plain,
( and(t2,not(xor(t4,t7))) != xor(t2,xor(t4,t7))
| and(t2,or(sum,t4)) = xor(t2,xor(t4,t7)) ),
inference(resolve,[$cnf( $equal(and(t2,not(xor(t4,t7))),and(t2,or(sum,t4))) )],[refute_0_19005,refute_0_19006]) ).
cnf(refute_0_19008,plain,
and(t2,or(sum,t4)) = xor(t2,xor(t4,t7)),
inference(resolve,[$cnf( $equal(and(t2,not(xor(t4,t7))),xor(t2,xor(t4,t7))) )],[refute_0_19001,refute_0_19007]) ).
cnf(refute_0_19009,plain,
( and(t2,or(sum,t4)) != xor(t2,xor(t4,t7))
| xor(t2,xor(t4,t7)) = and(t2,or(sum,t4)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t2,or(sum,t4)))),bind(Y0,$fot(xor(t2,xor(t4,t7))))]]) ).
cnf(refute_0_19010,plain,
xor(t2,xor(t4,t7)) = and(t2,or(sum,t4)),
inference(resolve,[$cnf( $equal(and(t2,or(sum,t4)),xor(t2,xor(t4,t7))) )],[refute_0_19008,refute_0_19009]) ).
cnf(refute_0_19011,plain,
( xor(X,xor(t2,xor(t4,t7))) != xor(xor(X,t2),xor(t4,t7))
| xor(t2,xor(t4,t7)) != and(t2,or(sum,t4))
| xor(X,and(t2,or(sum,t4))) = xor(xor(X,t2),xor(t4,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,xor(t2,xor(t4,t7))),xor(xor(X,t2),xor(t4,t7))) ),[0,1],$fot(and(t2,or(sum,t4)))]]) ).
cnf(refute_0_19012,plain,
( xor(X,xor(t2,xor(t4,t7))) != xor(xor(X,t2),xor(t4,t7))
| xor(X,and(t2,or(sum,t4))) = xor(xor(X,t2),xor(t4,t7)) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t4,t7)),and(t2,or(sum,t4))) )],[refute_0_19010,refute_0_19011]) ).
cnf(refute_0_19013,plain,
xor(X,and(t2,or(sum,t4))) = xor(xor(X,t2),xor(t4,t7)),
inference(resolve,[$cnf( $equal(xor(X,xor(t2,xor(t4,t7))),xor(xor(X,t2),xor(t4,t7))) )],[refute_0_18958,refute_0_19012]) ).
cnf(refute_0_19014,plain,
xor(t4,xor(t2,xor(t7,X))) = xor(t2,xor(t4,xor(t7,X))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(t2)),bind(X_334,$fot(t4)),bind(X_335,$fot(xor(t7,X)))]]) ).
cnf(refute_0_19015,plain,
xor(t7,xor(X,t2)) = xor(t2,xor(t7,X)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(t2)),bind(X_333,$fot(t7)),bind(X_334,$fot(X))]]) ).
cnf(refute_0_19016,plain,
xor(t4,xor(t7,xor(X,t2))) = xor(t4,xor(t7,xor(X,t2))),
introduced(tautology,[refl,[$fot(xor(t4,xor(t7,xor(X,t2))))]]) ).
cnf(refute_0_19017,plain,
( xor(t4,xor(t7,xor(X,t2))) != xor(t4,xor(t7,xor(X,t2)))
| xor(t7,xor(X,t2)) != xor(t2,xor(t7,X))
| xor(t4,xor(t7,xor(X,t2))) = xor(t4,xor(t2,xor(t7,X))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,xor(t7,xor(X,t2))),xor(t4,xor(t7,xor(X,t2)))) ),[1,1],$fot(xor(t2,xor(t7,X)))]]) ).
cnf(refute_0_19018,plain,
( xor(t7,xor(X,t2)) != xor(t2,xor(t7,X))
| xor(t4,xor(t7,xor(X,t2))) = xor(t4,xor(t2,xor(t7,X))) ),
inference(resolve,[$cnf( $equal(xor(t4,xor(t7,xor(X,t2))),xor(t4,xor(t7,xor(X,t2)))) )],[refute_0_19016,refute_0_19017]) ).
cnf(refute_0_19019,plain,
xor(t4,xor(t7,xor(X,t2))) = xor(t4,xor(t2,xor(t7,X))),
inference(resolve,[$cnf( $equal(xor(t7,xor(X,t2)),xor(t2,xor(t7,X))) )],[refute_0_19015,refute_0_19018]) ).
cnf(refute_0_19020,plain,
( xor(t4,xor(t2,xor(t7,X))) != xor(t2,xor(t4,xor(t7,X)))
| xor(t4,xor(t7,xor(X,t2))) != xor(t4,xor(t2,xor(t7,X)))
| xor(t4,xor(t7,xor(X,t2))) = xor(t2,xor(t4,xor(t7,X))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t4,xor(t7,xor(X,t2))))),bind(Y0,$fot(xor(t4,xor(t2,xor(t7,X))))),bind(Z0,$fot(xor(t2,xor(t4,xor(t7,X)))))]]) ).
cnf(refute_0_19021,plain,
( xor(t4,xor(t2,xor(t7,X))) != xor(t2,xor(t4,xor(t7,X)))
| xor(t4,xor(t7,xor(X,t2))) = xor(t2,xor(t4,xor(t7,X))) ),
inference(resolve,[$cnf( $equal(xor(t4,xor(t7,xor(X,t2))),xor(t4,xor(t2,xor(t7,X)))) )],[refute_0_19019,refute_0_19020]) ).
cnf(refute_0_19022,plain,
xor(t4,xor(t7,xor(X,t2))) = xor(t2,xor(t4,xor(t7,X))),
inference(resolve,[$cnf( $equal(xor(t4,xor(t2,xor(t7,X))),xor(t2,xor(t4,xor(t7,X)))) )],[refute_0_19014,refute_0_19021]) ).
cnf(refute_0_19023,plain,
xor(t4,xor(xor(X,t2),t7)) = xor(t4,xor(t7,xor(X,t2))),
inference(subst,[],[refute_0_2105:[bind(X_333,$fot(t4)),bind(X_334,$fot(xor(X,t2))),bind(X_335,$fot(t7))]]) ).
cnf(refute_0_19024,plain,
xor(xor(X,t2),xor(t4,t7)) = xor(t4,xor(xor(X,t2),t7)),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(t4)),bind(X_334,$fot(xor(X,t2))),bind(X_335,$fot(t7))]]) ).
cnf(refute_0_19025,plain,
( xor(t4,xor(xor(X,t2),t7)) != xor(t4,xor(t7,xor(X,t2)))
| xor(xor(X,t2),xor(t4,t7)) != xor(t4,xor(xor(X,t2),t7))
| xor(xor(X,t2),xor(t4,t7)) = xor(t4,xor(t7,xor(X,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X,t2),xor(t4,t7)))),bind(Y0,$fot(xor(t4,xor(xor(X,t2),t7)))),bind(Z0,$fot(xor(t4,xor(t7,xor(X,t2)))))]]) ).
cnf(refute_0_19026,plain,
( xor(t4,xor(xor(X,t2),t7)) != xor(t4,xor(t7,xor(X,t2)))
| xor(xor(X,t2),xor(t4,t7)) = xor(t4,xor(t7,xor(X,t2))) ),
inference(resolve,[$cnf( $equal(xor(xor(X,t2),xor(t4,t7)),xor(t4,xor(xor(X,t2),t7))) )],[refute_0_19024,refute_0_19025]) ).
cnf(refute_0_19027,plain,
xor(xor(X,t2),xor(t4,t7)) = xor(t4,xor(t7,xor(X,t2))),
inference(resolve,[$cnf( $equal(xor(t4,xor(xor(X,t2),t7)),xor(t4,xor(t7,xor(X,t2)))) )],[refute_0_19023,refute_0_19026]) ).
cnf(refute_0_19028,plain,
( xor(t4,xor(t7,xor(X,t2))) != xor(t2,xor(t4,xor(t7,X)))
| xor(xor(X,t2),xor(t4,t7)) != xor(t4,xor(t7,xor(X,t2)))
| xor(xor(X,t2),xor(t4,t7)) = xor(t2,xor(t4,xor(t7,X))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X,t2),xor(t4,t7)))),bind(Y0,$fot(xor(t4,xor(t7,xor(X,t2))))),bind(Z0,$fot(xor(t2,xor(t4,xor(t7,X)))))]]) ).
cnf(refute_0_19029,plain,
( xor(t4,xor(t7,xor(X,t2))) != xor(t2,xor(t4,xor(t7,X)))
| xor(xor(X,t2),xor(t4,t7)) = xor(t2,xor(t4,xor(t7,X))) ),
inference(resolve,[$cnf( $equal(xor(xor(X,t2),xor(t4,t7)),xor(t4,xor(t7,xor(X,t2)))) )],[refute_0_19027,refute_0_19028]) ).
cnf(refute_0_19030,plain,
xor(xor(X,t2),xor(t4,t7)) = xor(t2,xor(t4,xor(t7,X))),
inference(resolve,[$cnf( $equal(xor(t4,xor(t7,xor(X,t2))),xor(t2,xor(t4,xor(t7,X)))) )],[refute_0_19022,refute_0_19029]) ).
cnf(refute_0_19031,plain,
( xor(X,and(t2,or(sum,t4))) != xor(xor(X,t2),xor(t4,t7))
| xor(xor(X,t2),xor(t4,t7)) != xor(t2,xor(t4,xor(t7,X)))
| xor(X,and(t2,or(sum,t4))) = xor(t2,xor(t4,xor(t7,X))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(X,and(t2,or(sum,t4))),xor(t2,xor(t4,xor(t7,X)))) ),[0],$fot(xor(xor(X,t2),xor(t4,t7)))]]) ).
cnf(refute_0_19032,plain,
( xor(X,and(t2,or(sum,t4))) != xor(xor(X,t2),xor(t4,t7))
| xor(X,and(t2,or(sum,t4))) = xor(t2,xor(t4,xor(t7,X))) ),
inference(resolve,[$cnf( $equal(xor(xor(X,t2),xor(t4,t7)),xor(t2,xor(t4,xor(t7,X)))) )],[refute_0_19030,refute_0_19031]) ).
cnf(refute_0_19033,plain,
xor(X,and(t2,or(sum,t4))) = xor(t2,xor(t4,xor(t7,X))),
inference(resolve,[$cnf( $equal(xor(X,and(t2,or(sum,t4))),xor(xor(X,t2),xor(t4,t7))) )],[refute_0_19013,refute_0_19032]) ).
cnf(refute_0_19034,plain,
xor(t2,xor(t4,t7)) = xor(t7,t3),
inference(subst,[],[refute_0_9689:[bind(X,$fot(t7))]]) ).
cnf(refute_0_19035,plain,
( xor(t2,xor(t4,t7)) != xor(t7,t3)
| xor(t7,t3) != xor(t3,t7)
| xor(t2,xor(t4,t7)) = xor(t3,t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,xor(t4,t7)))),bind(Y0,$fot(xor(t7,t3))),bind(Z0,$fot(xor(t3,t7)))]]) ).
cnf(refute_0_19036,plain,
( xor(t7,t3) != xor(t3,t7)
| xor(t2,xor(t4,t7)) = xor(t3,t7) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t4,t7)),xor(t7,t3)) )],[refute_0_19034,refute_0_19035]) ).
cnf(refute_0_19037,plain,
xor(t2,xor(t4,t7)) = xor(t3,t7),
inference(resolve,[$cnf( $equal(xor(t7,t3),xor(t3,t7)) )],[refute_0_5605,refute_0_19036]) ).
cnf(refute_0_19038,plain,
( and(t2,or(sum,t4)) != xor(t2,xor(t4,t7))
| xor(t2,xor(t4,t7)) != xor(t3,t7)
| and(t2,or(sum,t4)) = xor(t3,t7) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t2,or(sum,t4)),xor(t3,t7)) ),[0],$fot(xor(t2,xor(t4,t7)))]]) ).
cnf(refute_0_19039,plain,
( and(t2,or(sum,t4)) != xor(t2,xor(t4,t7))
| and(t2,or(sum,t4)) = xor(t3,t7) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t4,t7)),xor(t3,t7)) )],[refute_0_19037,refute_0_19038]) ).
cnf(refute_0_19040,plain,
and(t2,or(sum,t4)) = xor(t3,t7),
inference(resolve,[$cnf( $equal(and(t2,or(sum,t4)),xor(t2,xor(t4,t7))) )],[refute_0_19008,refute_0_19039]) ).
cnf(refute_0_19041,plain,
xor(X,and(t2,or(sum,t4))) = xor(X,and(t2,or(sum,t4))),
introduced(tautology,[refl,[$fot(xor(X,and(t2,or(sum,t4))))]]) ).
cnf(refute_0_19042,plain,
( and(t2,or(sum,t4)) != xor(t3,t7)
| xor(X,and(t2,or(sum,t4))) != xor(X,and(t2,or(sum,t4)))
| xor(X,and(t2,or(sum,t4))) = xor(X,xor(t3,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,and(t2,or(sum,t4))),xor(X,and(t2,or(sum,t4)))) ),[1,1],$fot(xor(t3,t7))]]) ).
cnf(refute_0_19043,plain,
( and(t2,or(sum,t4)) != xor(t3,t7)
| xor(X,and(t2,or(sum,t4))) = xor(X,xor(t3,t7)) ),
inference(resolve,[$cnf( $equal(xor(X,and(t2,or(sum,t4))),xor(X,and(t2,or(sum,t4)))) )],[refute_0_19041,refute_0_19042]) ).
cnf(refute_0_19044,plain,
xor(X,and(t2,or(sum,t4))) = xor(X,xor(t3,t7)),
inference(resolve,[$cnf( $equal(and(t2,or(sum,t4)),xor(t3,t7)) )],[refute_0_19040,refute_0_19043]) ).
cnf(refute_0_19045,plain,
( xor(X,and(t2,or(sum,t4))) != xor(X,xor(t3,t7))
| xor(X,and(t2,or(sum,t4))) != xor(t2,xor(t4,xor(t7,X)))
| xor(X,xor(t3,t7)) = xor(t2,xor(t4,xor(t7,X))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,and(t2,or(sum,t4))),xor(t2,xor(t4,xor(t7,X)))) ),[0],$fot(xor(X,xor(t3,t7)))]]) ).
cnf(refute_0_19046,plain,
( xor(X,and(t2,or(sum,t4))) != xor(t2,xor(t4,xor(t7,X)))
| xor(X,xor(t3,t7)) = xor(t2,xor(t4,xor(t7,X))) ),
inference(resolve,[$cnf( $equal(xor(X,and(t2,or(sum,t4))),xor(X,xor(t3,t7))) )],[refute_0_19044,refute_0_19045]) ).
cnf(refute_0_19047,plain,
xor(xor(t7,X),t3) = xor(t3,xor(t7,X)),
inference(subst,[],[refute_0_1863:[bind(X_333,$fot(xor(t7,X)))]]) ).
cnf(refute_0_19048,plain,
xor(t2,xor(t4,xor(t7,X))) = xor(xor(t7,X),t3),
inference(subst,[],[refute_0_9689:[bind(X,$fot(xor(t7,X)))]]) ).
cnf(refute_0_19049,plain,
( xor(t2,xor(t4,xor(t7,X))) != xor(xor(t7,X),t3)
| xor(xor(t7,X),t3) != xor(t3,xor(t7,X))
| xor(t2,xor(t4,xor(t7,X))) = xor(t3,xor(t7,X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,xor(t4,xor(t7,X))))),bind(Y0,$fot(xor(xor(t7,X),t3))),bind(Z0,$fot(xor(t3,xor(t7,X))))]]) ).
cnf(refute_0_19050,plain,
( xor(xor(t7,X),t3) != xor(t3,xor(t7,X))
| xor(t2,xor(t4,xor(t7,X))) = xor(t3,xor(t7,X)) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t4,xor(t7,X))),xor(xor(t7,X),t3)) )],[refute_0_19048,refute_0_19049]) ).
cnf(refute_0_19051,plain,
xor(t2,xor(t4,xor(t7,X))) = xor(t3,xor(t7,X)),
inference(resolve,[$cnf( $equal(xor(xor(t7,X),t3),xor(t3,xor(t7,X))) )],[refute_0_19047,refute_0_19050]) ).
cnf(refute_0_19052,plain,
( xor(X,xor(t3,t7)) != xor(t2,xor(t4,xor(t7,X)))
| xor(t2,xor(t4,xor(t7,X))) != xor(t3,xor(t7,X))
| xor(X,xor(t3,t7)) = xor(t3,xor(t7,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(X,xor(t3,t7)),xor(t3,xor(t7,X))) ),[0],$fot(xor(t2,xor(t4,xor(t7,X))))]]) ).
cnf(refute_0_19053,plain,
( xor(X,xor(t3,t7)) != xor(t2,xor(t4,xor(t7,X)))
| xor(X,xor(t3,t7)) = xor(t3,xor(t7,X)) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t4,xor(t7,X))),xor(t3,xor(t7,X))) )],[refute_0_19051,refute_0_19052]) ).
cnf(refute_0_19054,plain,
( xor(X,and(t2,or(sum,t4))) != xor(t2,xor(t4,xor(t7,X)))
| xor(X,xor(t3,t7)) = xor(t3,xor(t7,X)) ),
inference(resolve,[$cnf( $equal(xor(X,xor(t3,t7)),xor(t2,xor(t4,xor(t7,X)))) )],[refute_0_19046,refute_0_19053]) ).
cnf(refute_0_19055,plain,
xor(X,xor(t3,t7)) = xor(t3,xor(t7,X)),
inference(resolve,[$cnf( $equal(xor(X,and(t2,or(sum,t4))),xor(t2,xor(t4,xor(t7,X)))) )],[refute_0_19033,refute_0_19054]) ).
cnf(refute_0_19056,plain,
xor(xor(X,a),xor(t3,t7)) = xor(t3,xor(t7,xor(X,a))),
inference(subst,[],[refute_0_19055:[bind(X,$fot(xor(X,a)))]]) ).
cnf(refute_0_19057,plain,
( xor(t3,xor(t7,xor(X,a))) != xor(carry,xor(sum,X))
| xor(xor(X,a),xor(t3,t7)) != xor(t3,xor(t7,xor(X,a)))
| xor(xor(X,a),xor(t3,t7)) = xor(carry,xor(sum,X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X,a),xor(t3,t7)))),bind(Y0,$fot(xor(t3,xor(t7,xor(X,a))))),bind(Z0,$fot(xor(carry,xor(sum,X))))]]) ).
cnf(refute_0_19058,plain,
( xor(t3,xor(t7,xor(X,a))) != xor(carry,xor(sum,X))
| xor(xor(X,a),xor(t3,t7)) = xor(carry,xor(sum,X)) ),
inference(resolve,[$cnf( $equal(xor(xor(X,a),xor(t3,t7)),xor(t3,xor(t7,xor(X,a)))) )],[refute_0_19056,refute_0_19057]) ).
cnf(refute_0_19059,plain,
xor(xor(X,a),xor(t3,t7)) = xor(carry,xor(sum,X)),
inference(resolve,[$cnf( $equal(xor(t3,xor(t7,xor(X,a))),xor(carry,xor(sum,X))) )],[refute_0_18957,refute_0_19058]) ).
cnf(refute_0_19060,plain,
( xor(X,xor(carry,sum)) != xor(xor(X,a),xor(t3,t7))
| xor(xor(X,a),xor(t3,t7)) != xor(carry,xor(sum,X))
| xor(X,xor(carry,sum)) = xor(carry,xor(sum,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(X,xor(carry,sum)),xor(carry,xor(sum,X))) ),[0],$fot(xor(xor(X,a),xor(t3,t7)))]]) ).
cnf(refute_0_19061,plain,
( xor(X,xor(carry,sum)) != xor(xor(X,a),xor(t3,t7))
| xor(X,xor(carry,sum)) = xor(carry,xor(sum,X)) ),
inference(resolve,[$cnf( $equal(xor(xor(X,a),xor(t3,t7)),xor(carry,xor(sum,X))) )],[refute_0_19059,refute_0_19060]) ).
cnf(refute_0_19062,plain,
xor(X,xor(carry,sum)) = xor(carry,xor(sum,X)),
inference(resolve,[$cnf( $equal(xor(X,xor(carry,sum)),xor(xor(X,a),xor(t3,t7))) )],[refute_0_18944,refute_0_19061]) ).
cnf(refute_0_19063,plain,
xor(or(cin,sum),xor(carry,sum)) = xor(carry,xor(sum,or(cin,sum))),
inference(subst,[],[refute_0_19062:[bind(X,$fot(or(cin,sum)))]]) ).
cnf(refute_0_19064,plain,
not(xor(or(cin,sum),xor(carry,sum))) = not(xor(or(cin,sum),xor(carry,sum))),
introduced(tautology,[refl,[$fot(not(xor(or(cin,sum),xor(carry,sum))))]]) ).
cnf(refute_0_19065,plain,
( not(xor(or(cin,sum),xor(carry,sum))) != not(xor(or(cin,sum),xor(carry,sum)))
| xor(or(cin,sum),xor(carry,sum)) != xor(carry,xor(sum,or(cin,sum)))
| not(xor(or(cin,sum),xor(carry,sum))) = not(xor(carry,xor(sum,or(cin,sum)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(or(cin,sum),xor(carry,sum))),not(xor(or(cin,sum),xor(carry,sum)))) ),[1,0],$fot(xor(carry,xor(sum,or(cin,sum))))]]) ).
cnf(refute_0_19066,plain,
( xor(or(cin,sum),xor(carry,sum)) != xor(carry,xor(sum,or(cin,sum)))
| not(xor(or(cin,sum),xor(carry,sum))) = not(xor(carry,xor(sum,or(cin,sum)))) ),
inference(resolve,[$cnf( $equal(not(xor(or(cin,sum),xor(carry,sum))),not(xor(or(cin,sum),xor(carry,sum)))) )],[refute_0_19064,refute_0_19065]) ).
cnf(refute_0_19067,plain,
not(xor(or(cin,sum),xor(carry,sum))) = not(xor(carry,xor(sum,or(cin,sum)))),
inference(resolve,[$cnf( $equal(xor(or(cin,sum),xor(carry,sum)),xor(carry,xor(sum,or(cin,sum)))) )],[refute_0_19063,refute_0_19066]) ).
cnf(refute_0_19068,plain,
xor(or(cin,sum),not(xor(carry,sum))) = not(xor(or(cin,sum),xor(carry,sum))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(or(cin,sum))),bind(X_334,$fot(xor(carry,sum)))]]) ).
cnf(refute_0_19069,plain,
( not(xor(or(cin,sum),xor(carry,sum))) != not(xor(carry,xor(sum,or(cin,sum))))
| xor(or(cin,sum),not(xor(carry,sum))) != not(xor(or(cin,sum),xor(carry,sum)))
| xor(or(cin,sum),not(xor(carry,sum))) = not(xor(carry,xor(sum,or(cin,sum)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(or(cin,sum),not(xor(carry,sum))))),bind(Y0,$fot(not(xor(or(cin,sum),xor(carry,sum))))),bind(Z0,$fot(not(xor(carry,xor(sum,or(cin,sum))))))]]) ).
cnf(refute_0_19070,plain,
( not(xor(or(cin,sum),xor(carry,sum))) != not(xor(carry,xor(sum,or(cin,sum))))
| xor(or(cin,sum),not(xor(carry,sum))) = not(xor(carry,xor(sum,or(cin,sum)))) ),
inference(resolve,[$cnf( $equal(xor(or(cin,sum),not(xor(carry,sum))),not(xor(or(cin,sum),xor(carry,sum)))) )],[refute_0_19068,refute_0_19069]) ).
cnf(refute_0_19071,plain,
xor(or(cin,sum),not(xor(carry,sum))) = not(xor(carry,xor(sum,or(cin,sum)))),
inference(resolve,[$cnf( $equal(not(xor(or(cin,sum),xor(carry,sum))),not(xor(carry,xor(sum,or(cin,sum))))) )],[refute_0_19067,refute_0_19070]) ).
cnf(refute_0_19072,plain,
xor(t2,xor(or(cin,sum),not(xor(carry,sum)))) = xor(t2,xor(or(cin,sum),not(xor(carry,sum)))),
introduced(tautology,[refl,[$fot(xor(t2,xor(or(cin,sum),not(xor(carry,sum)))))]]) ).
cnf(refute_0_19073,plain,
( xor(or(cin,sum),not(xor(carry,sum))) != not(xor(carry,xor(sum,or(cin,sum))))
| xor(t2,xor(or(cin,sum),not(xor(carry,sum)))) != xor(t2,xor(or(cin,sum),not(xor(carry,sum))))
| xor(t2,xor(or(cin,sum),not(xor(carry,sum)))) = xor(t2,not(xor(carry,xor(sum,or(cin,sum))))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,xor(or(cin,sum),not(xor(carry,sum)))),xor(t2,xor(or(cin,sum),not(xor(carry,sum))))) ),[1,1],$fot(not(xor(carry,xor(sum,or(cin,sum)))))]]) ).
cnf(refute_0_19074,plain,
( xor(or(cin,sum),not(xor(carry,sum))) != not(xor(carry,xor(sum,or(cin,sum))))
| xor(t2,xor(or(cin,sum),not(xor(carry,sum)))) = xor(t2,not(xor(carry,xor(sum,or(cin,sum))))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(or(cin,sum),not(xor(carry,sum)))),xor(t2,xor(or(cin,sum),not(xor(carry,sum))))) )],[refute_0_19072,refute_0_19073]) ).
cnf(refute_0_19075,plain,
xor(t2,xor(or(cin,sum),not(xor(carry,sum)))) = xor(t2,not(xor(carry,xor(sum,or(cin,sum))))),
inference(resolve,[$cnf( $equal(xor(or(cin,sum),not(xor(carry,sum))),not(xor(carry,xor(sum,or(cin,sum))))) )],[refute_0_19071,refute_0_19074]) ).
cnf(refute_0_19076,plain,
( xor(t2,not(xor(carry,xor(sum,or(cin,sum))))) != not(xor(carry,xor(sum,xor(t2,or(cin,sum)))))
| xor(t2,xor(or(cin,sum),not(xor(carry,sum)))) != xor(t2,not(xor(carry,xor(sum,or(cin,sum)))))
| xor(t2,xor(or(cin,sum),not(xor(carry,sum)))) = not(xor(carry,xor(sum,xor(t2,or(cin,sum))))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,xor(or(cin,sum),not(xor(carry,sum)))))),bind(Y0,$fot(xor(t2,not(xor(carry,xor(sum,or(cin,sum))))))),bind(Z0,$fot(not(xor(carry,xor(sum,xor(t2,or(cin,sum)))))))]]) ).
cnf(refute_0_19077,plain,
( xor(t2,not(xor(carry,xor(sum,or(cin,sum))))) != not(xor(carry,xor(sum,xor(t2,or(cin,sum)))))
| xor(t2,xor(or(cin,sum),not(xor(carry,sum)))) = not(xor(carry,xor(sum,xor(t2,or(cin,sum))))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(or(cin,sum),not(xor(carry,sum)))),xor(t2,not(xor(carry,xor(sum,or(cin,sum)))))) )],[refute_0_19075,refute_0_19076]) ).
cnf(refute_0_19078,plain,
xor(t2,xor(or(cin,sum),not(xor(carry,sum)))) = not(xor(carry,xor(sum,xor(t2,or(cin,sum))))),
inference(resolve,[$cnf( $equal(xor(t2,not(xor(carry,xor(sum,or(cin,sum))))),not(xor(carry,xor(sum,xor(t2,or(cin,sum)))))) )],[refute_0_18940,refute_0_19077]) ).
cnf(refute_0_19079,plain,
( a != xor(t2,xor(or(cin,sum),not(xor(carry,sum))))
| xor(t2,xor(or(cin,sum),not(xor(carry,sum)))) != not(xor(carry,xor(sum,xor(t2,or(cin,sum)))))
| a = not(xor(carry,xor(sum,xor(t2,or(cin,sum))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(a,not(xor(carry,xor(sum,xor(t2,or(cin,sum)))))) ),[0],$fot(xor(t2,xor(or(cin,sum),not(xor(carry,sum)))))]]) ).
cnf(refute_0_19080,plain,
( a != xor(t2,xor(or(cin,sum),not(xor(carry,sum))))
| a = not(xor(carry,xor(sum,xor(t2,or(cin,sum))))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(or(cin,sum),not(xor(carry,sum)))),not(xor(carry,xor(sum,xor(t2,or(cin,sum)))))) )],[refute_0_19078,refute_0_19079]) ).
cnf(refute_0_19081,plain,
a = not(xor(carry,xor(sum,xor(t2,or(cin,sum))))),
inference(resolve,[$cnf( $equal(a,xor(t2,xor(or(cin,sum),not(xor(carry,sum))))) )],[refute_0_18923,refute_0_19080]) ).
cnf(refute_0_19082,plain,
( a != not(xor(carry,xor(sum,xor(t2,or(cin,sum)))))
| not(xor(carry,xor(sum,xor(t2,or(cin,sum))))) = a ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(a)),bind(Y0,$fot(not(xor(carry,xor(sum,xor(t2,or(cin,sum)))))))]]) ).
cnf(refute_0_19083,plain,
not(xor(carry,xor(sum,xor(t2,or(cin,sum))))) = a,
inference(resolve,[$cnf( $equal(a,not(xor(carry,xor(sum,xor(t2,or(cin,sum)))))) )],[refute_0_19081,refute_0_19082]) ).
cnf(refute_0_19084,plain,
( not(not(xor(carry,xor(sum,xor(t2,or(cin,sum)))))) != xor(carry,xor(sum,xor(t2,or(cin,sum))))
| not(xor(carry,xor(sum,xor(t2,or(cin,sum))))) != a
| not(a) = xor(carry,xor(sum,xor(t2,or(cin,sum)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(xor(carry,xor(sum,xor(t2,or(cin,sum)))))),xor(carry,xor(sum,xor(t2,or(cin,sum))))) ),[0,0],$fot(a)]]) ).
cnf(refute_0_19085,plain,
( not(not(xor(carry,xor(sum,xor(t2,or(cin,sum)))))) != xor(carry,xor(sum,xor(t2,or(cin,sum))))
| not(a) = xor(carry,xor(sum,xor(t2,or(cin,sum)))) ),
inference(resolve,[$cnf( $equal(not(xor(carry,xor(sum,xor(t2,or(cin,sum))))),a) )],[refute_0_19083,refute_0_19084]) ).
cnf(refute_0_19086,plain,
not(a) = xor(carry,xor(sum,xor(t2,or(cin,sum)))),
inference(resolve,[$cnf( $equal(not(not(xor(carry,xor(sum,xor(t2,or(cin,sum)))))),xor(carry,xor(sum,xor(t2,or(cin,sum))))) )],[refute_0_18909,refute_0_19085]) ).
cnf(refute_0_19087,plain,
( not(a) != xor(carry,xor(sum,xor(t2,or(cin,sum))))
| xor(carry,xor(sum,xor(t2,or(cin,sum)))) = not(a) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(a))),bind(Y0,$fot(xor(carry,xor(sum,xor(t2,or(cin,sum))))))]]) ).
cnf(refute_0_19088,plain,
xor(carry,xor(sum,xor(t2,or(cin,sum)))) = not(a),
inference(resolve,[$cnf( $equal(not(a),xor(carry,xor(sum,xor(t2,or(cin,sum))))) )],[refute_0_19086,refute_0_19087]) ).
cnf(refute_0_19089,plain,
( xor(X,xor(carry,xor(sum,xor(t2,or(cin,sum))))) != xor(xor(X,carry),xor(sum,xor(t2,or(cin,sum))))
| xor(carry,xor(sum,xor(t2,or(cin,sum)))) != not(a)
| xor(X,not(a)) = xor(xor(X,carry),xor(sum,xor(t2,or(cin,sum)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,xor(carry,xor(sum,xor(t2,or(cin,sum))))),xor(xor(X,carry),xor(sum,xor(t2,or(cin,sum))))) ),[0,1],$fot(not(a))]]) ).
cnf(refute_0_19090,plain,
( xor(X,xor(carry,xor(sum,xor(t2,or(cin,sum))))) != xor(xor(X,carry),xor(sum,xor(t2,or(cin,sum))))
| xor(X,not(a)) = xor(xor(X,carry),xor(sum,xor(t2,or(cin,sum)))) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(sum,xor(t2,or(cin,sum)))),not(a)) )],[refute_0_19088,refute_0_19089]) ).
cnf(refute_0_19091,plain,
xor(X,not(a)) = xor(xor(X,carry),xor(sum,xor(t2,or(cin,sum)))),
inference(resolve,[$cnf( $equal(xor(X,xor(carry,xor(sum,xor(t2,or(cin,sum))))),xor(xor(X,carry),xor(sum,xor(t2,or(cin,sum))))) )],[refute_0_18908,refute_0_19090]) ).
cnf(refute_0_19092,plain,
xor(X,not(a)) = not(xor(X,a)),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(X)),bind(X_334,$fot(a))]]) ).
cnf(refute_0_19093,plain,
( xor(X,not(a)) != not(xor(X,a))
| xor(X,not(a)) != xor(xor(X,carry),xor(sum,xor(t2,or(cin,sum))))
| not(xor(X,a)) = xor(xor(X,carry),xor(sum,xor(t2,or(cin,sum)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,not(a)),xor(xor(X,carry),xor(sum,xor(t2,or(cin,sum))))) ),[0],$fot(not(xor(X,a)))]]) ).
cnf(refute_0_19094,plain,
( xor(X,not(a)) != xor(xor(X,carry),xor(sum,xor(t2,or(cin,sum))))
| not(xor(X,a)) = xor(xor(X,carry),xor(sum,xor(t2,or(cin,sum)))) ),
inference(resolve,[$cnf( $equal(xor(X,not(a)),not(xor(X,a))) )],[refute_0_19092,refute_0_19093]) ).
cnf(refute_0_19095,plain,
xor(X,xor(sum,xor(t6,xor(X_350,and(sum,t6))))) = xor(xor(X,sum),xor(t6,xor(X_350,and(sum,t6)))),
inference(subst,[],[xor_associative:[bind(Y,$fot(sum)),bind(Z,$fot(xor(t6,xor(X_350,and(sum,t6)))))]]) ).
cnf(refute_0_19096,plain,
xor(X_333,xor(and(sum,t6),xor(sum,t6))) = xor(xor(X_333,and(sum,t6)),xor(sum,t6)),
inference(subst,[],[xor_associative:[bind(X,$fot(X_333)),bind(Y,$fot(and(sum,t6))),bind(Z,$fot(xor(sum,t6)))]]) ).
cnf(refute_0_19097,plain,
ll1 = xor(and(sum,t6),not(and(sum,t6))),
inference(subst,[],[refute_0_473:[bind(X_64,$fot(and(sum,t6)))]]) ).
cnf(refute_0_19098,plain,
( ll1 != xor(and(sum,t6),not(and(sum,t6)))
| not(and(sum,t6)) != xor(sum,t6)
| ll1 = xor(and(sum,t6),xor(sum,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,xor(and(sum,t6),not(and(sum,t6)))) ),[1,1],$fot(xor(sum,t6))]]) ).
cnf(refute_0_19099,plain,
( ll1 != xor(and(sum,t6),not(and(sum,t6)))
| ll1 = xor(and(sum,t6),xor(sum,t6)) ),
inference(resolve,[$cnf( $equal(not(and(sum,t6)),xor(sum,t6)) )],[refute_0_4947,refute_0_19098]) ).
cnf(refute_0_19100,plain,
ll1 = xor(and(sum,t6),xor(sum,t6)),
inference(resolve,[$cnf( $equal(ll1,xor(and(sum,t6),not(and(sum,t6)))) )],[refute_0_19097,refute_0_19099]) ).
cnf(refute_0_19101,plain,
( ll1 != xor(and(sum,t6),xor(sum,t6))
| xor(and(sum,t6),xor(sum,t6)) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(xor(and(sum,t6),xor(sum,t6))))]]) ).
cnf(refute_0_19102,plain,
xor(and(sum,t6),xor(sum,t6)) = ll1,
inference(resolve,[$cnf( $equal(ll1,xor(and(sum,t6),xor(sum,t6))) )],[refute_0_19100,refute_0_19101]) ).
cnf(refute_0_19103,plain,
( xor(X_333,xor(and(sum,t6),xor(sum,t6))) != xor(xor(X_333,and(sum,t6)),xor(sum,t6))
| xor(and(sum,t6),xor(sum,t6)) != ll1
| xor(X_333,ll1) = xor(xor(X_333,and(sum,t6)),xor(sum,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,xor(and(sum,t6),xor(sum,t6))),xor(xor(X_333,and(sum,t6)),xor(sum,t6))) ),[0,1],$fot(ll1)]]) ).
cnf(refute_0_19104,plain,
( xor(X_333,xor(and(sum,t6),xor(sum,t6))) != xor(xor(X_333,and(sum,t6)),xor(sum,t6))
| xor(X_333,ll1) = xor(xor(X_333,and(sum,t6)),xor(sum,t6)) ),
inference(resolve,[$cnf( $equal(xor(and(sum,t6),xor(sum,t6)),ll1) )],[refute_0_19102,refute_0_19103]) ).
cnf(refute_0_19105,plain,
xor(X_333,ll1) = xor(xor(X_333,and(sum,t6)),xor(sum,t6)),
inference(resolve,[$cnf( $equal(xor(X_333,xor(and(sum,t6),xor(sum,t6))),xor(xor(X_333,and(sum,t6)),xor(sum,t6))) )],[refute_0_19096,refute_0_19104]) ).
cnf(refute_0_19106,plain,
( xor(X_333,ll1) != not(X_333)
| xor(X_333,ll1) != xor(xor(X_333,and(sum,t6)),xor(sum,t6))
| not(X_333) = xor(xor(X_333,and(sum,t6)),xor(sum,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X_333,ll1),xor(xor(X_333,and(sum,t6)),xor(sum,t6))) ),[0],$fot(not(X_333))]]) ).
cnf(refute_0_19107,plain,
( xor(X_333,ll1) != xor(xor(X_333,and(sum,t6)),xor(sum,t6))
| not(X_333) = xor(xor(X_333,and(sum,t6)),xor(sum,t6)) ),
inference(resolve,[$cnf( $equal(xor(X_333,ll1),not(X_333)) )],[refute_0_3465,refute_0_19106]) ).
cnf(refute_0_19108,plain,
xor(t6,xor(xor(X_333,and(sum,t6)),sum)) = xor(sum,xor(t6,xor(X_333,and(sum,t6)))),
inference(subst,[],[refute_0_1453:[bind(X,$fot(sum)),bind(X_333,$fot(t6)),bind(X_334,$fot(xor(X_333,and(sum,t6))))]]) ).
cnf(refute_0_19109,plain,
xor(xor(X_333,and(sum,t6)),xor(sum,t6)) = xor(t6,xor(xor(X_333,and(sum,t6)),sum)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(t6)),bind(X_333,$fot(xor(X_333,and(sum,t6)))),bind(X_334,$fot(sum))]]) ).
cnf(refute_0_19110,plain,
( xor(t6,xor(xor(X_333,and(sum,t6)),sum)) != xor(sum,xor(t6,xor(X_333,and(sum,t6))))
| xor(xor(X_333,and(sum,t6)),xor(sum,t6)) != xor(t6,xor(xor(X_333,and(sum,t6)),sum))
| xor(xor(X_333,and(sum,t6)),xor(sum,t6)) = xor(sum,xor(t6,xor(X_333,and(sum,t6)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X_333,and(sum,t6)),xor(sum,t6)))),bind(Y0,$fot(xor(t6,xor(xor(X_333,and(sum,t6)),sum)))),bind(Z0,$fot(xor(sum,xor(t6,xor(X_333,and(sum,t6))))))]]) ).
cnf(refute_0_19111,plain,
( xor(t6,xor(xor(X_333,and(sum,t6)),sum)) != xor(sum,xor(t6,xor(X_333,and(sum,t6))))
| xor(xor(X_333,and(sum,t6)),xor(sum,t6)) = xor(sum,xor(t6,xor(X_333,and(sum,t6)))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,and(sum,t6)),xor(sum,t6)),xor(t6,xor(xor(X_333,and(sum,t6)),sum))) )],[refute_0_19109,refute_0_19110]) ).
cnf(refute_0_19112,plain,
xor(xor(X_333,and(sum,t6)),xor(sum,t6)) = xor(sum,xor(t6,xor(X_333,and(sum,t6)))),
inference(resolve,[$cnf( $equal(xor(t6,xor(xor(X_333,and(sum,t6)),sum)),xor(sum,xor(t6,xor(X_333,and(sum,t6))))) )],[refute_0_19108,refute_0_19111]) ).
cnf(refute_0_19113,plain,
( not(X_333) != xor(xor(X_333,and(sum,t6)),xor(sum,t6))
| xor(xor(X_333,and(sum,t6)),xor(sum,t6)) != xor(sum,xor(t6,xor(X_333,and(sum,t6))))
| not(X_333) = xor(sum,xor(t6,xor(X_333,and(sum,t6)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(X_333),xor(sum,xor(t6,xor(X_333,and(sum,t6))))) ),[0],$fot(xor(xor(X_333,and(sum,t6)),xor(sum,t6)))]]) ).
cnf(refute_0_19114,plain,
( not(X_333) != xor(xor(X_333,and(sum,t6)),xor(sum,t6))
| not(X_333) = xor(sum,xor(t6,xor(X_333,and(sum,t6)))) ),
inference(resolve,[$cnf( $equal(xor(xor(X_333,and(sum,t6)),xor(sum,t6)),xor(sum,xor(t6,xor(X_333,and(sum,t6))))) )],[refute_0_19112,refute_0_19113]) ).
cnf(refute_0_19115,plain,
( xor(X_333,ll1) != xor(xor(X_333,and(sum,t6)),xor(sum,t6))
| not(X_333) = xor(sum,xor(t6,xor(X_333,and(sum,t6)))) ),
inference(resolve,[$cnf( $equal(not(X_333),xor(xor(X_333,and(sum,t6)),xor(sum,t6))) )],[refute_0_19107,refute_0_19114]) ).
cnf(refute_0_19116,plain,
not(X_333) = xor(sum,xor(t6,xor(X_333,and(sum,t6)))),
inference(resolve,[$cnf( $equal(xor(X_333,ll1),xor(xor(X_333,and(sum,t6)),xor(sum,t6))) )],[refute_0_19105,refute_0_19115]) ).
cnf(refute_0_19117,plain,
not(X_350) = xor(sum,xor(t6,xor(X_350,and(sum,t6)))),
inference(subst,[],[refute_0_19116:[bind(X_333,$fot(X_350))]]) ).
cnf(refute_0_19118,plain,
( not(X_350) != xor(sum,xor(t6,xor(X_350,and(sum,t6))))
| xor(sum,xor(t6,xor(X_350,and(sum,t6)))) = not(X_350) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(X_350))),bind(Y0,$fot(xor(sum,xor(t6,xor(X_350,and(sum,t6))))))]]) ).
cnf(refute_0_19119,plain,
xor(sum,xor(t6,xor(X_350,and(sum,t6)))) = not(X_350),
inference(resolve,[$cnf( $equal(not(X_350),xor(sum,xor(t6,xor(X_350,and(sum,t6))))) )],[refute_0_19117,refute_0_19118]) ).
cnf(refute_0_19120,plain,
( xor(X,xor(sum,xor(t6,xor(X_350,and(sum,t6))))) != xor(xor(X,sum),xor(t6,xor(X_350,and(sum,t6))))
| xor(sum,xor(t6,xor(X_350,and(sum,t6)))) != not(X_350)
| xor(X,not(X_350)) = xor(xor(X,sum),xor(t6,xor(X_350,and(sum,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,xor(sum,xor(t6,xor(X_350,and(sum,t6))))),xor(xor(X,sum),xor(t6,xor(X_350,and(sum,t6))))) ),[0,1],$fot(not(X_350))]]) ).
cnf(refute_0_19121,plain,
( xor(X,xor(sum,xor(t6,xor(X_350,and(sum,t6))))) != xor(xor(X,sum),xor(t6,xor(X_350,and(sum,t6))))
| xor(X,not(X_350)) = xor(xor(X,sum),xor(t6,xor(X_350,and(sum,t6)))) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(t6,xor(X_350,and(sum,t6)))),not(X_350)) )],[refute_0_19119,refute_0_19120]) ).
cnf(refute_0_19122,plain,
xor(X,not(X_350)) = xor(xor(X,sum),xor(t6,xor(X_350,and(sum,t6)))),
inference(resolve,[$cnf( $equal(xor(X,xor(sum,xor(t6,xor(X_350,and(sum,t6))))),xor(xor(X,sum),xor(t6,xor(X_350,and(sum,t6))))) )],[refute_0_19095,refute_0_19121]) ).
cnf(refute_0_19123,plain,
xor(X,not(X_350)) = not(xor(X,X_350)),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(X)),bind(X_334,$fot(X_350))]]) ).
cnf(refute_0_19124,plain,
( xor(X,not(X_350)) != not(xor(X,X_350))
| xor(X,not(X_350)) != xor(xor(X,sum),xor(t6,xor(X_350,and(sum,t6))))
| not(xor(X,X_350)) = xor(xor(X,sum),xor(t6,xor(X_350,and(sum,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(X,not(X_350)),xor(xor(X,sum),xor(t6,xor(X_350,and(sum,t6))))) ),[0],$fot(not(xor(X,X_350)))]]) ).
cnf(refute_0_19125,plain,
( xor(X,not(X_350)) != xor(xor(X,sum),xor(t6,xor(X_350,and(sum,t6))))
| not(xor(X,X_350)) = xor(xor(X,sum),xor(t6,xor(X_350,and(sum,t6)))) ),
inference(resolve,[$cnf( $equal(xor(X,not(X_350)),not(xor(X,X_350))) )],[refute_0_19123,refute_0_19124]) ).
cnf(refute_0_19126,plain,
xor(xor(X,sum),X_350) = xor(X,xor(sum,X_350)),
inference(subst,[],[refute_0_526:[bind(Y,$fot(sum)),bind(Z,$fot(X_350))]]) ).
cnf(refute_0_19127,plain,
xor(and(sum,t6),xor(xor(X,sum),X_350)) = xor(and(sum,t6),xor(xor(X,sum),X_350)),
introduced(tautology,[refl,[$fot(xor(and(sum,t6),xor(xor(X,sum),X_350)))]]) ).
cnf(refute_0_19128,plain,
( xor(and(sum,t6),xor(xor(X,sum),X_350)) != xor(and(sum,t6),xor(xor(X,sum),X_350))
| xor(xor(X,sum),X_350) != xor(X,xor(sum,X_350))
| xor(and(sum,t6),xor(xor(X,sum),X_350)) = xor(and(sum,t6),xor(X,xor(sum,X_350))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(and(sum,t6),xor(xor(X,sum),X_350)),xor(and(sum,t6),xor(xor(X,sum),X_350))) ),[1,1],$fot(xor(X,xor(sum,X_350)))]]) ).
cnf(refute_0_19129,plain,
( xor(xor(X,sum),X_350) != xor(X,xor(sum,X_350))
| xor(and(sum,t6),xor(xor(X,sum),X_350)) = xor(and(sum,t6),xor(X,xor(sum,X_350))) ),
inference(resolve,[$cnf( $equal(xor(and(sum,t6),xor(xor(X,sum),X_350)),xor(and(sum,t6),xor(xor(X,sum),X_350))) )],[refute_0_19127,refute_0_19128]) ).
cnf(refute_0_19130,plain,
xor(and(sum,t6),xor(xor(X,sum),X_350)) = xor(and(sum,t6),xor(X,xor(sum,X_350))),
inference(resolve,[$cnf( $equal(xor(xor(X,sum),X_350),xor(X,xor(sum,X_350))) )],[refute_0_19126,refute_0_19129]) ).
cnf(refute_0_19131,plain,
xor(xor(X,sum),xor(X_350,and(sum,t6))) = xor(and(sum,t6),xor(xor(X,sum),X_350)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(and(sum,t6))),bind(X_333,$fot(xor(X,sum))),bind(X_334,$fot(X_350))]]) ).
cnf(refute_0_19132,plain,
( xor(and(sum,t6),xor(xor(X,sum),X_350)) != xor(and(sum,t6),xor(X,xor(sum,X_350)))
| xor(xor(X,sum),xor(X_350,and(sum,t6))) != xor(and(sum,t6),xor(xor(X,sum),X_350))
| xor(xor(X,sum),xor(X_350,and(sum,t6))) = xor(and(sum,t6),xor(X,xor(sum,X_350))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X,sum),xor(X_350,and(sum,t6))))),bind(Y0,$fot(xor(and(sum,t6),xor(xor(X,sum),X_350)))),bind(Z0,$fot(xor(and(sum,t6),xor(X,xor(sum,X_350)))))]]) ).
cnf(refute_0_19133,plain,
( xor(and(sum,t6),xor(xor(X,sum),X_350)) != xor(and(sum,t6),xor(X,xor(sum,X_350)))
| xor(xor(X,sum),xor(X_350,and(sum,t6))) = xor(and(sum,t6),xor(X,xor(sum,X_350))) ),
inference(resolve,[$cnf( $equal(xor(xor(X,sum),xor(X_350,and(sum,t6))),xor(and(sum,t6),xor(xor(X,sum),X_350))) )],[refute_0_19131,refute_0_19132]) ).
cnf(refute_0_19134,plain,
xor(xor(X,sum),xor(X_350,and(sum,t6))) = xor(and(sum,t6),xor(X,xor(sum,X_350))),
inference(resolve,[$cnf( $equal(xor(and(sum,t6),xor(xor(X,sum),X_350)),xor(and(sum,t6),xor(X,xor(sum,X_350)))) )],[refute_0_19130,refute_0_19133]) ).
cnf(refute_0_19135,plain,
xor(t6,xor(xor(X,sum),xor(X_350,and(sum,t6)))) = xor(t6,xor(xor(X,sum),xor(X_350,and(sum,t6)))),
introduced(tautology,[refl,[$fot(xor(t6,xor(xor(X,sum),xor(X_350,and(sum,t6)))))]]) ).
cnf(refute_0_19136,plain,
( xor(t6,xor(xor(X,sum),xor(X_350,and(sum,t6)))) != xor(t6,xor(xor(X,sum),xor(X_350,and(sum,t6))))
| xor(xor(X,sum),xor(X_350,and(sum,t6))) != xor(and(sum,t6),xor(X,xor(sum,X_350)))
| xor(t6,xor(xor(X,sum),xor(X_350,and(sum,t6)))) = xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,xor(xor(X,sum),xor(X_350,and(sum,t6)))),xor(t6,xor(xor(X,sum),xor(X_350,and(sum,t6))))) ),[1,1],$fot(xor(and(sum,t6),xor(X,xor(sum,X_350))))]]) ).
cnf(refute_0_19137,plain,
( xor(xor(X,sum),xor(X_350,and(sum,t6))) != xor(and(sum,t6),xor(X,xor(sum,X_350)))
| xor(t6,xor(xor(X,sum),xor(X_350,and(sum,t6)))) = xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350)))) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(xor(X,sum),xor(X_350,and(sum,t6)))),xor(t6,xor(xor(X,sum),xor(X_350,and(sum,t6))))) )],[refute_0_19135,refute_0_19136]) ).
cnf(refute_0_19138,plain,
xor(t6,xor(xor(X,sum),xor(X_350,and(sum,t6)))) = xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350)))),
inference(resolve,[$cnf( $equal(xor(xor(X,sum),xor(X_350,and(sum,t6))),xor(and(sum,t6),xor(X,xor(sum,X_350)))) )],[refute_0_19134,refute_0_19137]) ).
cnf(refute_0_19139,plain,
xor(xor(X,sum),xor(t6,xor(X_350,and(sum,t6)))) = xor(t6,xor(xor(X,sum),xor(X_350,and(sum,t6)))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(t6)),bind(X_334,$fot(xor(X,sum))),bind(X_335,$fot(xor(X_350,and(sum,t6))))]]) ).
cnf(refute_0_19140,plain,
( xor(t6,xor(xor(X,sum),xor(X_350,and(sum,t6)))) != xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350))))
| xor(xor(X,sum),xor(t6,xor(X_350,and(sum,t6)))) != xor(t6,xor(xor(X,sum),xor(X_350,and(sum,t6))))
| xor(xor(X,sum),xor(t6,xor(X_350,and(sum,t6)))) = xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X,sum),xor(t6,xor(X_350,and(sum,t6)))))),bind(Y0,$fot(xor(t6,xor(xor(X,sum),xor(X_350,and(sum,t6)))))),bind(Z0,$fot(xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350))))))]]) ).
cnf(refute_0_19141,plain,
( xor(t6,xor(xor(X,sum),xor(X_350,and(sum,t6)))) != xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350))))
| xor(xor(X,sum),xor(t6,xor(X_350,and(sum,t6)))) = xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350)))) ),
inference(resolve,[$cnf( $equal(xor(xor(X,sum),xor(t6,xor(X_350,and(sum,t6)))),xor(t6,xor(xor(X,sum),xor(X_350,and(sum,t6))))) )],[refute_0_19139,refute_0_19140]) ).
cnf(refute_0_19142,plain,
xor(xor(X,sum),xor(t6,xor(X_350,and(sum,t6)))) = xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350)))),
inference(resolve,[$cnf( $equal(xor(t6,xor(xor(X,sum),xor(X_350,and(sum,t6)))),xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350))))) )],[refute_0_19138,refute_0_19141]) ).
cnf(refute_0_19143,plain,
( not(xor(X,X_350)) != xor(xor(X,sum),xor(t6,xor(X_350,and(sum,t6))))
| xor(xor(X,sum),xor(t6,xor(X_350,and(sum,t6)))) != xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350))))
| not(xor(X,X_350)) = xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(X,X_350)),xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350))))) ),[0],$fot(xor(xor(X,sum),xor(t6,xor(X_350,and(sum,t6)))))]]) ).
cnf(refute_0_19144,plain,
( not(xor(X,X_350)) != xor(xor(X,sum),xor(t6,xor(X_350,and(sum,t6))))
| not(xor(X,X_350)) = xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350)))) ),
inference(resolve,[$cnf( $equal(xor(xor(X,sum),xor(t6,xor(X_350,and(sum,t6)))),xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350))))) )],[refute_0_19142,refute_0_19143]) ).
cnf(refute_0_19145,plain,
( xor(X,not(X_350)) != xor(xor(X,sum),xor(t6,xor(X_350,and(sum,t6))))
| not(xor(X,X_350)) = xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350)))) ),
inference(resolve,[$cnf( $equal(not(xor(X,X_350)),xor(xor(X,sum),xor(t6,xor(X_350,and(sum,t6))))) )],[refute_0_19125,refute_0_19144]) ).
cnf(refute_0_19146,plain,
not(xor(X,X_350)) = xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350)))),
inference(resolve,[$cnf( $equal(xor(X,not(X_350)),xor(xor(X,sum),xor(t6,xor(X_350,and(sum,t6))))) )],[refute_0_19122,refute_0_19145]) ).
cnf(refute_0_19147,plain,
xor(t6,xor(t7,xor(X,xor(sum,X_350)))) = xor(sum,xor(X,xor(sum,X_350))),
inference(subst,[],[refute_0_6195:[bind(Y,$fot(xor(X,xor(sum,X_350))))]]) ).
cnf(refute_0_19148,plain,
not(xor(t6,xor(t7,xor(X,xor(sum,X_350))))) = not(xor(t6,xor(t7,xor(X,xor(sum,X_350))))),
introduced(tautology,[refl,[$fot(not(xor(t6,xor(t7,xor(X,xor(sum,X_350))))))]]) ).
cnf(refute_0_19149,plain,
( not(xor(t6,xor(t7,xor(X,xor(sum,X_350))))) != not(xor(t6,xor(t7,xor(X,xor(sum,X_350)))))
| xor(t6,xor(t7,xor(X,xor(sum,X_350)))) != xor(sum,xor(X,xor(sum,X_350)))
| not(xor(t6,xor(t7,xor(X,xor(sum,X_350))))) = not(xor(sum,xor(X,xor(sum,X_350)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t6,xor(t7,xor(X,xor(sum,X_350))))),not(xor(t6,xor(t7,xor(X,xor(sum,X_350)))))) ),[1,0],$fot(xor(sum,xor(X,xor(sum,X_350))))]]) ).
cnf(refute_0_19150,plain,
( xor(t6,xor(t7,xor(X,xor(sum,X_350)))) != xor(sum,xor(X,xor(sum,X_350)))
| not(xor(t6,xor(t7,xor(X,xor(sum,X_350))))) = not(xor(sum,xor(X,xor(sum,X_350)))) ),
inference(resolve,[$cnf( $equal(not(xor(t6,xor(t7,xor(X,xor(sum,X_350))))),not(xor(t6,xor(t7,xor(X,xor(sum,X_350)))))) )],[refute_0_19148,refute_0_19149]) ).
cnf(refute_0_19151,plain,
not(xor(t6,xor(t7,xor(X,xor(sum,X_350))))) = not(xor(sum,xor(X,xor(sum,X_350)))),
inference(resolve,[$cnf( $equal(xor(t6,xor(t7,xor(X,xor(sum,X_350)))),xor(sum,xor(X,xor(sum,X_350)))) )],[refute_0_19147,refute_0_19150]) ).
cnf(refute_0_19152,plain,
xor(t6,not(xor(t7,xor(X,xor(sum,X_350))))) = not(xor(t6,xor(t7,xor(X,xor(sum,X_350))))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t6)),bind(X_334,$fot(xor(t7,xor(X,xor(sum,X_350)))))]]) ).
cnf(refute_0_19153,plain,
( not(xor(t6,xor(t7,xor(X,xor(sum,X_350))))) != not(xor(sum,xor(X,xor(sum,X_350))))
| xor(t6,not(xor(t7,xor(X,xor(sum,X_350))))) != not(xor(t6,xor(t7,xor(X,xor(sum,X_350)))))
| xor(t6,not(xor(t7,xor(X,xor(sum,X_350))))) = not(xor(sum,xor(X,xor(sum,X_350)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,not(xor(t7,xor(X,xor(sum,X_350))))))),bind(Y0,$fot(not(xor(t6,xor(t7,xor(X,xor(sum,X_350))))))),bind(Z0,$fot(not(xor(sum,xor(X,xor(sum,X_350))))))]]) ).
cnf(refute_0_19154,plain,
( not(xor(t6,xor(t7,xor(X,xor(sum,X_350))))) != not(xor(sum,xor(X,xor(sum,X_350))))
| xor(t6,not(xor(t7,xor(X,xor(sum,X_350))))) = not(xor(sum,xor(X,xor(sum,X_350)))) ),
inference(resolve,[$cnf( $equal(xor(t6,not(xor(t7,xor(X,xor(sum,X_350))))),not(xor(t6,xor(t7,xor(X,xor(sum,X_350)))))) )],[refute_0_19152,refute_0_19153]) ).
cnf(refute_0_19155,plain,
xor(t6,not(xor(t7,xor(X,xor(sum,X_350))))) = not(xor(sum,xor(X,xor(sum,X_350)))),
inference(resolve,[$cnf( $equal(not(xor(t6,xor(t7,xor(X,xor(sum,X_350))))),not(xor(sum,xor(X,xor(sum,X_350))))) )],[refute_0_19151,refute_0_19154]) ).
cnf(refute_0_19156,plain,
xor(not(t7),xor(X,xor(sum,X_350))) = not(xor(t7,xor(X,xor(sum,X_350)))),
inference(subst,[],[refute_0_2075:[bind(Y,$fot(xor(X,xor(sum,X_350)))),bind(X_63,$fot(t7))]]) ).
cnf(refute_0_19157,plain,
xor(and(sum,t6),xor(X,xor(sum,X_350))) = xor(and(sum,t6),xor(X,xor(sum,X_350))),
introduced(tautology,[refl,[$fot(xor(and(sum,t6),xor(X,xor(sum,X_350))))]]) ).
cnf(refute_0_19158,plain,
( and(sum,t6) != not(t7)
| xor(and(sum,t6),xor(X,xor(sum,X_350))) != xor(and(sum,t6),xor(X,xor(sum,X_350)))
| xor(and(sum,t6),xor(X,xor(sum,X_350))) = xor(not(t7),xor(X,xor(sum,X_350))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(and(sum,t6),xor(X,xor(sum,X_350))),xor(and(sum,t6),xor(X,xor(sum,X_350)))) ),[1,0],$fot(not(t7))]]) ).
cnf(refute_0_19159,plain,
( and(sum,t6) != not(t7)
| xor(and(sum,t6),xor(X,xor(sum,X_350))) = xor(not(t7),xor(X,xor(sum,X_350))) ),
inference(resolve,[$cnf( $equal(xor(and(sum,t6),xor(X,xor(sum,X_350))),xor(and(sum,t6),xor(X,xor(sum,X_350)))) )],[refute_0_19157,refute_0_19158]) ).
cnf(refute_0_19160,plain,
xor(and(sum,t6),xor(X,xor(sum,X_350))) = xor(not(t7),xor(X,xor(sum,X_350))),
inference(resolve,[$cnf( $equal(and(sum,t6),not(t7)) )],[refute_0_5395,refute_0_19159]) ).
cnf(refute_0_19161,plain,
( xor(and(sum,t6),xor(X,xor(sum,X_350))) != xor(not(t7),xor(X,xor(sum,X_350)))
| xor(not(t7),xor(X,xor(sum,X_350))) != not(xor(t7,xor(X,xor(sum,X_350))))
| xor(and(sum,t6),xor(X,xor(sum,X_350))) = not(xor(t7,xor(X,xor(sum,X_350)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(and(sum,t6),xor(X,xor(sum,X_350))))),bind(Y0,$fot(xor(not(t7),xor(X,xor(sum,X_350))))),bind(Z0,$fot(not(xor(t7,xor(X,xor(sum,X_350))))))]]) ).
cnf(refute_0_19162,plain,
( xor(not(t7),xor(X,xor(sum,X_350))) != not(xor(t7,xor(X,xor(sum,X_350))))
| xor(and(sum,t6),xor(X,xor(sum,X_350))) = not(xor(t7,xor(X,xor(sum,X_350)))) ),
inference(resolve,[$cnf( $equal(xor(and(sum,t6),xor(X,xor(sum,X_350))),xor(not(t7),xor(X,xor(sum,X_350)))) )],[refute_0_19160,refute_0_19161]) ).
cnf(refute_0_19163,plain,
xor(and(sum,t6),xor(X,xor(sum,X_350))) = not(xor(t7,xor(X,xor(sum,X_350)))),
inference(resolve,[$cnf( $equal(xor(not(t7),xor(X,xor(sum,X_350))),not(xor(t7,xor(X,xor(sum,X_350))))) )],[refute_0_19156,refute_0_19162]) ).
cnf(refute_0_19164,plain,
xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350)))) = xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350)))),
introduced(tautology,[refl,[$fot(xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350)))))]]) ).
cnf(refute_0_19165,plain,
( xor(and(sum,t6),xor(X,xor(sum,X_350))) != not(xor(t7,xor(X,xor(sum,X_350))))
| xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350)))) != xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350))))
| xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350)))) = xor(t6,not(xor(t7,xor(X,xor(sum,X_350))))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350)))),xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350))))) ),[1,1],$fot(not(xor(t7,xor(X,xor(sum,X_350)))))]]) ).
cnf(refute_0_19166,plain,
( xor(and(sum,t6),xor(X,xor(sum,X_350))) != not(xor(t7,xor(X,xor(sum,X_350))))
| xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350)))) = xor(t6,not(xor(t7,xor(X,xor(sum,X_350))))) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350)))),xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350))))) )],[refute_0_19164,refute_0_19165]) ).
cnf(refute_0_19167,plain,
xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350)))) = xor(t6,not(xor(t7,xor(X,xor(sum,X_350))))),
inference(resolve,[$cnf( $equal(xor(and(sum,t6),xor(X,xor(sum,X_350))),not(xor(t7,xor(X,xor(sum,X_350))))) )],[refute_0_19163,refute_0_19166]) ).
cnf(refute_0_19168,plain,
( xor(t6,not(xor(t7,xor(X,xor(sum,X_350))))) != not(xor(sum,xor(X,xor(sum,X_350))))
| xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350)))) != xor(t6,not(xor(t7,xor(X,xor(sum,X_350)))))
| xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350)))) = not(xor(sum,xor(X,xor(sum,X_350)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350)))))),bind(Y0,$fot(xor(t6,not(xor(t7,xor(X,xor(sum,X_350))))))),bind(Z0,$fot(not(xor(sum,xor(X,xor(sum,X_350))))))]]) ).
cnf(refute_0_19169,plain,
( xor(t6,not(xor(t7,xor(X,xor(sum,X_350))))) != not(xor(sum,xor(X,xor(sum,X_350))))
| xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350)))) = not(xor(sum,xor(X,xor(sum,X_350)))) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350)))),xor(t6,not(xor(t7,xor(X,xor(sum,X_350)))))) )],[refute_0_19167,refute_0_19168]) ).
cnf(refute_0_19170,plain,
xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350)))) = not(xor(sum,xor(X,xor(sum,X_350)))),
inference(resolve,[$cnf( $equal(xor(t6,not(xor(t7,xor(X,xor(sum,X_350))))),not(xor(sum,xor(X,xor(sum,X_350))))) )],[refute_0_19155,refute_0_19169]) ).
cnf(refute_0_19171,plain,
( not(xor(X,X_350)) != xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350))))
| xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350)))) != not(xor(sum,xor(X,xor(sum,X_350))))
| not(xor(X,X_350)) = not(xor(sum,xor(X,xor(sum,X_350)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(X,X_350)),not(xor(sum,xor(X,xor(sum,X_350))))) ),[0],$fot(xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350)))))]]) ).
cnf(refute_0_19172,plain,
( not(xor(X,X_350)) != xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350))))
| not(xor(X,X_350)) = not(xor(sum,xor(X,xor(sum,X_350)))) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350)))),not(xor(sum,xor(X,xor(sum,X_350))))) )],[refute_0_19170,refute_0_19171]) ).
cnf(refute_0_19173,plain,
not(xor(X,X_350)) = not(xor(sum,xor(X,xor(sum,X_350)))),
inference(resolve,[$cnf( $equal(not(xor(X,X_350)),xor(t6,xor(and(sum,t6),xor(X,xor(sum,X_350))))) )],[refute_0_19146,refute_0_19172]) ).
cnf(refute_0_19174,plain,
( not(xor(X,X_350)) != not(xor(sum,xor(X,xor(sum,X_350))))
| not(xor(sum,xor(X,xor(sum,X_350)))) = not(xor(X,X_350)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(xor(X,X_350)))),bind(Y0,$fot(not(xor(sum,xor(X,xor(sum,X_350))))))]]) ).
cnf(refute_0_19175,plain,
not(xor(sum,xor(X,xor(sum,X_350)))) = not(xor(X,X_350)),
inference(resolve,[$cnf( $equal(not(xor(X,X_350)),not(xor(sum,xor(X,xor(sum,X_350))))) )],[refute_0_19173,refute_0_19174]) ).
cnf(refute_0_19176,plain,
not(xor(sum,xor(a,xor(sum,X)))) = not(xor(a,X)),
inference(subst,[],[refute_0_19175:[bind(X,$fot(a)),bind(X_350,$fot(X))]]) ).
cnf(refute_0_19177,plain,
xor(sum,not(xor(a,xor(sum,X)))) = not(xor(sum,xor(a,xor(sum,X)))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(sum)),bind(X_334,$fot(xor(a,xor(sum,X))))]]) ).
cnf(refute_0_19178,plain,
( not(xor(sum,xor(a,xor(sum,X)))) != not(xor(a,X))
| xor(sum,not(xor(a,xor(sum,X)))) != not(xor(sum,xor(a,xor(sum,X))))
| xor(sum,not(xor(a,xor(sum,X)))) = not(xor(a,X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(sum,not(xor(a,xor(sum,X)))))),bind(Y0,$fot(not(xor(sum,xor(a,xor(sum,X)))))),bind(Z0,$fot(not(xor(a,X))))]]) ).
cnf(refute_0_19179,plain,
( not(xor(sum,xor(a,xor(sum,X)))) != not(xor(a,X))
| xor(sum,not(xor(a,xor(sum,X)))) = not(xor(a,X)) ),
inference(resolve,[$cnf( $equal(xor(sum,not(xor(a,xor(sum,X)))),not(xor(sum,xor(a,xor(sum,X))))) )],[refute_0_19177,refute_0_19178]) ).
cnf(refute_0_19180,plain,
xor(sum,not(xor(a,xor(sum,X)))) = not(xor(a,X)),
inference(resolve,[$cnf( $equal(not(xor(sum,xor(a,xor(sum,X)))),not(xor(a,X))) )],[refute_0_19176,refute_0_19179]) ).
cnf(refute_0_19181,plain,
xor(sum,xor(a,X)) = xor(a,xor(sum,X)),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(a)),bind(X_334,$fot(sum)),bind(X_335,$fot(X))]]) ).
cnf(refute_0_19182,plain,
xor(t1,xor(t2,X)) = xor(a,X),
inference(subst,[],[refute_0_10100:[bind(Y,$fot(X))]]) ).
cnf(refute_0_19183,plain,
xor(t2,xor(t1,X)) = xor(t1,xor(t2,X)),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(t1)),bind(X_334,$fot(t2)),bind(X_335,$fot(X))]]) ).
cnf(refute_0_19184,plain,
( xor(t1,xor(t2,X)) != xor(a,X)
| xor(t2,xor(t1,X)) != xor(t1,xor(t2,X))
| xor(t2,xor(t1,X)) = xor(a,X) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,xor(t1,X)))),bind(Y0,$fot(xor(t1,xor(t2,X)))),bind(Z0,$fot(xor(a,X)))]]) ).
cnf(refute_0_19185,plain,
( xor(t1,xor(t2,X)) != xor(a,X)
| xor(t2,xor(t1,X)) = xor(a,X) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t1,X)),xor(t1,xor(t2,X))) )],[refute_0_19183,refute_0_19184]) ).
cnf(refute_0_19186,plain,
xor(t2,xor(t1,X)) = xor(a,X),
inference(resolve,[$cnf( $equal(xor(t1,xor(t2,X)),xor(a,X)) )],[refute_0_19182,refute_0_19185]) ).
cnf(refute_0_19187,plain,
xor(sum,xor(t2,xor(t1,X))) = xor(sum,xor(t2,xor(t1,X))),
introduced(tautology,[refl,[$fot(xor(sum,xor(t2,xor(t1,X))))]]) ).
cnf(refute_0_19188,plain,
( xor(sum,xor(t2,xor(t1,X))) != xor(sum,xor(t2,xor(t1,X)))
| xor(t2,xor(t1,X)) != xor(a,X)
| xor(sum,xor(t2,xor(t1,X))) = xor(sum,xor(a,X)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,xor(t2,xor(t1,X))),xor(sum,xor(t2,xor(t1,X)))) ),[1,1],$fot(xor(a,X))]]) ).
cnf(refute_0_19189,plain,
( xor(t2,xor(t1,X)) != xor(a,X)
| xor(sum,xor(t2,xor(t1,X))) = xor(sum,xor(a,X)) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(t2,xor(t1,X))),xor(sum,xor(t2,xor(t1,X)))) )],[refute_0_19187,refute_0_19188]) ).
cnf(refute_0_19190,plain,
xor(sum,xor(t2,xor(t1,X))) = xor(sum,xor(a,X)),
inference(resolve,[$cnf( $equal(xor(t2,xor(t1,X)),xor(a,X)) )],[refute_0_19186,refute_0_19189]) ).
cnf(refute_0_19191,plain,
( xor(sum,xor(a,X)) != xor(a,xor(sum,X))
| xor(sum,xor(t2,xor(t1,X))) != xor(sum,xor(a,X))
| xor(sum,xor(t2,xor(t1,X))) = xor(a,xor(sum,X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(sum,xor(t2,xor(t1,X))))),bind(Y0,$fot(xor(sum,xor(a,X)))),bind(Z0,$fot(xor(a,xor(sum,X))))]]) ).
cnf(refute_0_19192,plain,
( xor(sum,xor(a,X)) != xor(a,xor(sum,X))
| xor(sum,xor(t2,xor(t1,X))) = xor(a,xor(sum,X)) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(t2,xor(t1,X))),xor(sum,xor(a,X))) )],[refute_0_19190,refute_0_19191]) ).
cnf(refute_0_19193,plain,
xor(sum,xor(t2,xor(t1,X))) = xor(a,xor(sum,X)),
inference(resolve,[$cnf( $equal(xor(sum,xor(a,X)),xor(a,xor(sum,X))) )],[refute_0_19181,refute_0_19192]) ).
cnf(refute_0_19194,plain,
xor(t2,xor(sum,xor(t1,X))) = xor(sum,xor(t2,xor(t1,X))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(sum)),bind(X_334,$fot(t2)),bind(X_335,$fot(xor(t1,X)))]]) ).
cnf(refute_0_19195,plain,
( xor(sum,xor(t2,xor(t1,X))) != xor(a,xor(sum,X))
| xor(t2,xor(sum,xor(t1,X))) != xor(sum,xor(t2,xor(t1,X)))
| xor(t2,xor(sum,xor(t1,X))) = xor(a,xor(sum,X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,xor(sum,xor(t1,X))))),bind(Y0,$fot(xor(sum,xor(t2,xor(t1,X))))),bind(Z0,$fot(xor(a,xor(sum,X))))]]) ).
cnf(refute_0_19196,plain,
( xor(sum,xor(t2,xor(t1,X))) != xor(a,xor(sum,X))
| xor(t2,xor(sum,xor(t1,X))) = xor(a,xor(sum,X)) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(sum,xor(t1,X))),xor(sum,xor(t2,xor(t1,X)))) )],[refute_0_19194,refute_0_19195]) ).
cnf(refute_0_19197,plain,
xor(t2,xor(sum,xor(t1,X))) = xor(a,xor(sum,X)),
inference(resolve,[$cnf( $equal(xor(sum,xor(t2,xor(t1,X))),xor(a,xor(sum,X))) )],[refute_0_19193,refute_0_19196]) ).
cnf(refute_0_19198,plain,
not(xor(t2,xor(sum,xor(t1,X)))) = not(xor(t2,xor(sum,xor(t1,X)))),
introduced(tautology,[refl,[$fot(not(xor(t2,xor(sum,xor(t1,X)))))]]) ).
cnf(refute_0_19199,plain,
( not(xor(t2,xor(sum,xor(t1,X)))) != not(xor(t2,xor(sum,xor(t1,X))))
| xor(t2,xor(sum,xor(t1,X))) != xor(a,xor(sum,X))
| not(xor(t2,xor(sum,xor(t1,X)))) = not(xor(a,xor(sum,X))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t2,xor(sum,xor(t1,X)))),not(xor(t2,xor(sum,xor(t1,X))))) ),[1,0],$fot(xor(a,xor(sum,X)))]]) ).
cnf(refute_0_19200,plain,
( xor(t2,xor(sum,xor(t1,X))) != xor(a,xor(sum,X))
| not(xor(t2,xor(sum,xor(t1,X)))) = not(xor(a,xor(sum,X))) ),
inference(resolve,[$cnf( $equal(not(xor(t2,xor(sum,xor(t1,X)))),not(xor(t2,xor(sum,xor(t1,X))))) )],[refute_0_19198,refute_0_19199]) ).
cnf(refute_0_19201,plain,
not(xor(t2,xor(sum,xor(t1,X)))) = not(xor(a,xor(sum,X))),
inference(resolve,[$cnf( $equal(xor(t2,xor(sum,xor(t1,X))),xor(a,xor(sum,X))) )],[refute_0_19197,refute_0_19200]) ).
cnf(refute_0_19202,plain,
xor(t2,not(xor(sum,xor(t1,X)))) = not(xor(t2,xor(sum,xor(t1,X)))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t2)),bind(X_334,$fot(xor(sum,xor(t1,X))))]]) ).
cnf(refute_0_19203,plain,
( not(xor(t2,xor(sum,xor(t1,X)))) != not(xor(a,xor(sum,X)))
| xor(t2,not(xor(sum,xor(t1,X)))) != not(xor(t2,xor(sum,xor(t1,X))))
| xor(t2,not(xor(sum,xor(t1,X)))) = not(xor(a,xor(sum,X))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,not(xor(sum,xor(t1,X)))))),bind(Y0,$fot(not(xor(t2,xor(sum,xor(t1,X)))))),bind(Z0,$fot(not(xor(a,xor(sum,X)))))]]) ).
cnf(refute_0_19204,plain,
( not(xor(t2,xor(sum,xor(t1,X)))) != not(xor(a,xor(sum,X)))
| xor(t2,not(xor(sum,xor(t1,X)))) = not(xor(a,xor(sum,X))) ),
inference(resolve,[$cnf( $equal(xor(t2,not(xor(sum,xor(t1,X)))),not(xor(t2,xor(sum,xor(t1,X))))) )],[refute_0_19202,refute_0_19203]) ).
cnf(refute_0_19205,plain,
xor(t2,not(xor(sum,xor(t1,X)))) = not(xor(a,xor(sum,X))),
inference(resolve,[$cnf( $equal(not(xor(t2,xor(sum,xor(t1,X)))),not(xor(a,xor(sum,X)))) )],[refute_0_19201,refute_0_19204]) ).
cnf(refute_0_19206,plain,
xor(carry,xor(or(cin,sum),Z)) = xor(xor(carry,or(cin,sum)),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(carry)),bind(Y,$fot(or(cin,sum)))]]) ).
cnf(refute_0_19207,plain,
xor(t1,xor(t5,or(cin,sum))) = xor(carry,or(cin,sum)),
inference(subst,[],[refute_0_1349:[bind(X_335,$fot(or(cin,sum)))]]) ).
cnf(refute_0_19208,plain,
( xor(t1,xor(t5,or(cin,sum))) != xor(carry,or(cin,sum))
| xor(t5,or(cin,sum)) != not(sum)
| xor(t1,not(sum)) = xor(carry,or(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,xor(t5,or(cin,sum))),xor(carry,or(cin,sum))) ),[0,1],$fot(not(sum))]]) ).
cnf(refute_0_19209,plain,
( xor(t1,xor(t5,or(cin,sum))) != xor(carry,or(cin,sum))
| xor(t1,not(sum)) = xor(carry,or(cin,sum)) ),
inference(resolve,[$cnf( $equal(xor(t5,or(cin,sum)),not(sum)) )],[refute_0_5379,refute_0_19208]) ).
cnf(refute_0_19210,plain,
xor(t1,not(sum)) = xor(carry,or(cin,sum)),
inference(resolve,[$cnf( $equal(xor(t1,xor(t5,or(cin,sum))),xor(carry,or(cin,sum))) )],[refute_0_19207,refute_0_19209]) ).
cnf(refute_0_19211,plain,
( not(xor(X,t1)) != not(xor(t1,X))
| not(xor(t1,X)) = not(xor(X,t1)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(xor(X,t1)))),bind(Y0,$fot(not(xor(t1,X))))]]) ).
cnf(refute_0_19212,plain,
not(xor(t1,X)) = not(xor(X,t1)),
inference(resolve,[$cnf( $equal(not(xor(X,t1)),not(xor(t1,X))) )],[refute_0_2117,refute_0_19211]) ).
cnf(refute_0_19213,plain,
not(xor(t1,sum)) = not(xor(sum,t1)),
inference(subst,[],[refute_0_19212:[bind(X,$fot(sum))]]) ).
cnf(refute_0_19214,plain,
xor(t1,not(sum)) = not(xor(t1,sum)),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t1)),bind(X_334,$fot(sum))]]) ).
cnf(refute_0_19215,plain,
( not(xor(t1,sum)) != not(xor(sum,t1))
| xor(t1,not(sum)) != not(xor(t1,sum))
| xor(t1,not(sum)) = not(xor(sum,t1)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t1,not(sum)))),bind(Y0,$fot(not(xor(t1,sum)))),bind(Z0,$fot(not(xor(sum,t1))))]]) ).
cnf(refute_0_19216,plain,
( not(xor(t1,sum)) != not(xor(sum,t1))
| xor(t1,not(sum)) = not(xor(sum,t1)) ),
inference(resolve,[$cnf( $equal(xor(t1,not(sum)),not(xor(t1,sum))) )],[refute_0_19214,refute_0_19215]) ).
cnf(refute_0_19217,plain,
xor(t1,not(sum)) = not(xor(sum,t1)),
inference(resolve,[$cnf( $equal(not(xor(t1,sum)),not(xor(sum,t1))) )],[refute_0_19213,refute_0_19216]) ).
cnf(refute_0_19218,plain,
( xor(t1,not(sum)) != not(xor(sum,t1))
| xor(t1,not(sum)) != xor(carry,or(cin,sum))
| not(xor(sum,t1)) = xor(carry,or(cin,sum)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,not(sum)),xor(carry,or(cin,sum))) ),[0],$fot(not(xor(sum,t1)))]]) ).
cnf(refute_0_19219,plain,
( xor(t1,not(sum)) != xor(carry,or(cin,sum))
| not(xor(sum,t1)) = xor(carry,or(cin,sum)) ),
inference(resolve,[$cnf( $equal(xor(t1,not(sum)),not(xor(sum,t1))) )],[refute_0_19217,refute_0_19218]) ).
cnf(refute_0_19220,plain,
not(xor(sum,t1)) = xor(carry,or(cin,sum)),
inference(resolve,[$cnf( $equal(xor(t1,not(sum)),xor(carry,or(cin,sum))) )],[refute_0_19210,refute_0_19219]) ).
cnf(refute_0_19221,plain,
( not(xor(sum,t1)) != xor(carry,or(cin,sum))
| xor(carry,or(cin,sum)) = not(xor(sum,t1)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(xor(sum,t1)))),bind(Y0,$fot(xor(carry,or(cin,sum))))]]) ).
cnf(refute_0_19222,plain,
xor(carry,or(cin,sum)) = not(xor(sum,t1)),
inference(resolve,[$cnf( $equal(not(xor(sum,t1)),xor(carry,or(cin,sum))) )],[refute_0_19220,refute_0_19221]) ).
cnf(refute_0_19223,plain,
( xor(carry,or(cin,sum)) != not(xor(sum,t1))
| xor(carry,xor(or(cin,sum),Z)) != xor(xor(carry,or(cin,sum)),Z)
| xor(carry,xor(or(cin,sum),Z)) = xor(not(xor(sum,t1)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(or(cin,sum),Z)),xor(xor(carry,or(cin,sum)),Z)) ),[1,0],$fot(not(xor(sum,t1)))]]) ).
cnf(refute_0_19224,plain,
( xor(carry,xor(or(cin,sum),Z)) != xor(xor(carry,or(cin,sum)),Z)
| xor(carry,xor(or(cin,sum),Z)) = xor(not(xor(sum,t1)),Z) ),
inference(resolve,[$cnf( $equal(xor(carry,or(cin,sum)),not(xor(sum,t1))) )],[refute_0_19222,refute_0_19223]) ).
cnf(refute_0_19225,plain,
xor(carry,xor(or(cin,sum),Z)) = xor(not(xor(sum,t1)),Z),
inference(resolve,[$cnf( $equal(xor(carry,xor(or(cin,sum),Z)),xor(xor(carry,or(cin,sum)),Z)) )],[refute_0_19206,refute_0_19224]) ).
cnf(refute_0_19226,plain,
not(xor(xor(sum,t1),Z)) = not(xor(xor(sum,t1),Z)),
introduced(tautology,[refl,[$fot(not(xor(xor(sum,t1),Z)))]]) ).
cnf(refute_0_19227,plain,
( not(xor(xor(sum,t1),Z)) != not(xor(xor(sum,t1),Z))
| xor(xor(sum,t1),Z) != xor(sum,xor(t1,Z))
| not(xor(xor(sum,t1),Z)) = not(xor(sum,xor(t1,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(xor(sum,t1),Z)),not(xor(xor(sum,t1),Z))) ),[1,0],$fot(xor(sum,xor(t1,Z)))]]) ).
cnf(refute_0_19228,plain,
( xor(xor(sum,t1),Z) != xor(sum,xor(t1,Z))
| not(xor(xor(sum,t1),Z)) = not(xor(sum,xor(t1,Z))) ),
inference(resolve,[$cnf( $equal(not(xor(xor(sum,t1),Z)),not(xor(xor(sum,t1),Z))) )],[refute_0_19226,refute_0_19227]) ).
cnf(refute_0_19229,plain,
not(xor(xor(sum,t1),Z)) = not(xor(sum,xor(t1,Z))),
inference(resolve,[$cnf( $equal(xor(xor(sum,t1),Z),xor(sum,xor(t1,Z))) )],[refute_0_17032,refute_0_19228]) ).
cnf(refute_0_19230,plain,
xor(not(xor(sum,t1)),Z) = not(xor(xor(sum,t1),Z)),
inference(subst,[],[refute_0_2075:[bind(Y,$fot(Z)),bind(X_63,$fot(xor(sum,t1)))]]) ).
cnf(refute_0_19231,plain,
( not(xor(xor(sum,t1),Z)) != not(xor(sum,xor(t1,Z)))
| xor(not(xor(sum,t1)),Z) != not(xor(xor(sum,t1),Z))
| xor(not(xor(sum,t1)),Z) = not(xor(sum,xor(t1,Z))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(not(xor(sum,t1)),Z))),bind(Y0,$fot(not(xor(xor(sum,t1),Z)))),bind(Z0,$fot(not(xor(sum,xor(t1,Z)))))]]) ).
cnf(refute_0_19232,plain,
( not(xor(xor(sum,t1),Z)) != not(xor(sum,xor(t1,Z)))
| xor(not(xor(sum,t1)),Z) = not(xor(sum,xor(t1,Z))) ),
inference(resolve,[$cnf( $equal(xor(not(xor(sum,t1)),Z),not(xor(xor(sum,t1),Z))) )],[refute_0_19230,refute_0_19231]) ).
cnf(refute_0_19233,plain,
xor(not(xor(sum,t1)),Z) = not(xor(sum,xor(t1,Z))),
inference(resolve,[$cnf( $equal(not(xor(xor(sum,t1),Z)),not(xor(sum,xor(t1,Z)))) )],[refute_0_19229,refute_0_19232]) ).
cnf(refute_0_19234,plain,
( xor(carry,xor(or(cin,sum),Z)) != xor(not(xor(sum,t1)),Z)
| xor(not(xor(sum,t1)),Z) != not(xor(sum,xor(t1,Z)))
| xor(carry,xor(or(cin,sum),Z)) = not(xor(sum,xor(t1,Z))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(carry,xor(or(cin,sum),Z)),not(xor(sum,xor(t1,Z)))) ),[0],$fot(xor(not(xor(sum,t1)),Z))]]) ).
cnf(refute_0_19235,plain,
( xor(carry,xor(or(cin,sum),Z)) != xor(not(xor(sum,t1)),Z)
| xor(carry,xor(or(cin,sum),Z)) = not(xor(sum,xor(t1,Z))) ),
inference(resolve,[$cnf( $equal(xor(not(xor(sum,t1)),Z),not(xor(sum,xor(t1,Z)))) )],[refute_0_19233,refute_0_19234]) ).
cnf(refute_0_19236,plain,
xor(carry,xor(or(cin,sum),Z)) = not(xor(sum,xor(t1,Z))),
inference(resolve,[$cnf( $equal(xor(carry,xor(or(cin,sum),Z)),xor(not(xor(sum,t1)),Z)) )],[refute_0_19225,refute_0_19235]) ).
cnf(refute_0_19237,plain,
xor(carry,xor(or(cin,sum),X)) = not(xor(sum,xor(t1,X))),
inference(subst,[],[refute_0_19236:[bind(Z,$fot(X))]]) ).
cnf(refute_0_19238,plain,
xor(or(cin,sum),xor(X,carry)) = xor(carry,xor(or(cin,sum),X)),
inference(subst,[],[refute_0_1453:[bind(X,$fot(carry)),bind(X_333,$fot(or(cin,sum))),bind(X_334,$fot(X))]]) ).
cnf(refute_0_19239,plain,
( xor(carry,xor(or(cin,sum),X)) != not(xor(sum,xor(t1,X)))
| xor(or(cin,sum),xor(X,carry)) != xor(carry,xor(or(cin,sum),X))
| xor(or(cin,sum),xor(X,carry)) = not(xor(sum,xor(t1,X))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(or(cin,sum),xor(X,carry)))),bind(Y0,$fot(xor(carry,xor(or(cin,sum),X)))),bind(Z0,$fot(not(xor(sum,xor(t1,X)))))]]) ).
cnf(refute_0_19240,plain,
( xor(carry,xor(or(cin,sum),X)) != not(xor(sum,xor(t1,X)))
| xor(or(cin,sum),xor(X,carry)) = not(xor(sum,xor(t1,X))) ),
inference(resolve,[$cnf( $equal(xor(or(cin,sum),xor(X,carry)),xor(carry,xor(or(cin,sum),X))) )],[refute_0_19238,refute_0_19239]) ).
cnf(refute_0_19241,plain,
xor(or(cin,sum),xor(X,carry)) = not(xor(sum,xor(t1,X))),
inference(resolve,[$cnf( $equal(xor(carry,xor(or(cin,sum),X)),not(xor(sum,xor(t1,X)))) )],[refute_0_19237,refute_0_19240]) ).
cnf(refute_0_19242,plain,
xor(t2,xor(or(cin,sum),xor(X,carry))) = xor(t2,xor(or(cin,sum),xor(X,carry))),
introduced(tautology,[refl,[$fot(xor(t2,xor(or(cin,sum),xor(X,carry))))]]) ).
cnf(refute_0_19243,plain,
( xor(or(cin,sum),xor(X,carry)) != not(xor(sum,xor(t1,X)))
| xor(t2,xor(or(cin,sum),xor(X,carry))) != xor(t2,xor(or(cin,sum),xor(X,carry)))
| xor(t2,xor(or(cin,sum),xor(X,carry))) = xor(t2,not(xor(sum,xor(t1,X)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,xor(or(cin,sum),xor(X,carry))),xor(t2,xor(or(cin,sum),xor(X,carry)))) ),[1,1],$fot(not(xor(sum,xor(t1,X))))]]) ).
cnf(refute_0_19244,plain,
( xor(or(cin,sum),xor(X,carry)) != not(xor(sum,xor(t1,X)))
| xor(t2,xor(or(cin,sum),xor(X,carry))) = xor(t2,not(xor(sum,xor(t1,X)))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(or(cin,sum),xor(X,carry))),xor(t2,xor(or(cin,sum),xor(X,carry)))) )],[refute_0_19242,refute_0_19243]) ).
cnf(refute_0_19245,plain,
xor(t2,xor(or(cin,sum),xor(X,carry))) = xor(t2,not(xor(sum,xor(t1,X)))),
inference(resolve,[$cnf( $equal(xor(or(cin,sum),xor(X,carry)),not(xor(sum,xor(t1,X)))) )],[refute_0_19241,refute_0_19244]) ).
cnf(refute_0_19246,plain,
( xor(t2,not(xor(sum,xor(t1,X)))) != not(xor(a,xor(sum,X)))
| xor(t2,xor(or(cin,sum),xor(X,carry))) != xor(t2,not(xor(sum,xor(t1,X))))
| xor(t2,xor(or(cin,sum),xor(X,carry))) = not(xor(a,xor(sum,X))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,xor(or(cin,sum),xor(X,carry))))),bind(Y0,$fot(xor(t2,not(xor(sum,xor(t1,X)))))),bind(Z0,$fot(not(xor(a,xor(sum,X)))))]]) ).
cnf(refute_0_19247,plain,
( xor(t2,not(xor(sum,xor(t1,X)))) != not(xor(a,xor(sum,X)))
| xor(t2,xor(or(cin,sum),xor(X,carry))) = not(xor(a,xor(sum,X))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(or(cin,sum),xor(X,carry))),xor(t2,not(xor(sum,xor(t1,X))))) )],[refute_0_19245,refute_0_19246]) ).
cnf(refute_0_19248,plain,
xor(t2,xor(or(cin,sum),xor(X,carry))) = not(xor(a,xor(sum,X))),
inference(resolve,[$cnf( $equal(xor(t2,not(xor(sum,xor(t1,X)))),not(xor(a,xor(sum,X)))) )],[refute_0_19205,refute_0_19247]) ).
cnf(refute_0_19249,plain,
xor(t2,xor(xor(X,carry),or(cin,sum))) = xor(t2,xor(or(cin,sum),xor(X,carry))),
inference(subst,[],[refute_0_2105:[bind(X_333,$fot(t2)),bind(X_334,$fot(xor(X,carry))),bind(X_335,$fot(or(cin,sum)))]]) ).
cnf(refute_0_19250,plain,
xor(xor(X,carry),xor(t2,or(cin,sum))) = xor(t2,xor(xor(X,carry),or(cin,sum))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(t2)),bind(X_334,$fot(xor(X,carry))),bind(X_335,$fot(or(cin,sum)))]]) ).
cnf(refute_0_19251,plain,
( xor(t2,xor(xor(X,carry),or(cin,sum))) != xor(t2,xor(or(cin,sum),xor(X,carry)))
| xor(xor(X,carry),xor(t2,or(cin,sum))) != xor(t2,xor(xor(X,carry),or(cin,sum)))
| xor(xor(X,carry),xor(t2,or(cin,sum))) = xor(t2,xor(or(cin,sum),xor(X,carry))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X,carry),xor(t2,or(cin,sum))))),bind(Y0,$fot(xor(t2,xor(xor(X,carry),or(cin,sum))))),bind(Z0,$fot(xor(t2,xor(or(cin,sum),xor(X,carry)))))]]) ).
cnf(refute_0_19252,plain,
( xor(t2,xor(xor(X,carry),or(cin,sum))) != xor(t2,xor(or(cin,sum),xor(X,carry)))
| xor(xor(X,carry),xor(t2,or(cin,sum))) = xor(t2,xor(or(cin,sum),xor(X,carry))) ),
inference(resolve,[$cnf( $equal(xor(xor(X,carry),xor(t2,or(cin,sum))),xor(t2,xor(xor(X,carry),or(cin,sum)))) )],[refute_0_19250,refute_0_19251]) ).
cnf(refute_0_19253,plain,
xor(xor(X,carry),xor(t2,or(cin,sum))) = xor(t2,xor(or(cin,sum),xor(X,carry))),
inference(resolve,[$cnf( $equal(xor(t2,xor(xor(X,carry),or(cin,sum))),xor(t2,xor(or(cin,sum),xor(X,carry)))) )],[refute_0_19249,refute_0_19252]) ).
cnf(refute_0_19254,plain,
( xor(t2,xor(or(cin,sum),xor(X,carry))) != not(xor(a,xor(sum,X)))
| xor(xor(X,carry),xor(t2,or(cin,sum))) != xor(t2,xor(or(cin,sum),xor(X,carry)))
| xor(xor(X,carry),xor(t2,or(cin,sum))) = not(xor(a,xor(sum,X))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X,carry),xor(t2,or(cin,sum))))),bind(Y0,$fot(xor(t2,xor(or(cin,sum),xor(X,carry))))),bind(Z0,$fot(not(xor(a,xor(sum,X)))))]]) ).
cnf(refute_0_19255,plain,
( xor(t2,xor(or(cin,sum),xor(X,carry))) != not(xor(a,xor(sum,X)))
| xor(xor(X,carry),xor(t2,or(cin,sum))) = not(xor(a,xor(sum,X))) ),
inference(resolve,[$cnf( $equal(xor(xor(X,carry),xor(t2,or(cin,sum))),xor(t2,xor(or(cin,sum),xor(X,carry)))) )],[refute_0_19253,refute_0_19254]) ).
cnf(refute_0_19256,plain,
xor(xor(X,carry),xor(t2,or(cin,sum))) = not(xor(a,xor(sum,X))),
inference(resolve,[$cnf( $equal(xor(t2,xor(or(cin,sum),xor(X,carry))),not(xor(a,xor(sum,X)))) )],[refute_0_19248,refute_0_19255]) ).
cnf(refute_0_19257,plain,
xor(sum,xor(xor(X,carry),xor(t2,or(cin,sum)))) = xor(sum,xor(xor(X,carry),xor(t2,or(cin,sum)))),
introduced(tautology,[refl,[$fot(xor(sum,xor(xor(X,carry),xor(t2,or(cin,sum)))))]]) ).
cnf(refute_0_19258,plain,
( xor(sum,xor(xor(X,carry),xor(t2,or(cin,sum)))) != xor(sum,xor(xor(X,carry),xor(t2,or(cin,sum))))
| xor(xor(X,carry),xor(t2,or(cin,sum))) != not(xor(a,xor(sum,X)))
| xor(sum,xor(xor(X,carry),xor(t2,or(cin,sum)))) = xor(sum,not(xor(a,xor(sum,X)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,xor(xor(X,carry),xor(t2,or(cin,sum)))),xor(sum,xor(xor(X,carry),xor(t2,or(cin,sum))))) ),[1,1],$fot(not(xor(a,xor(sum,X))))]]) ).
cnf(refute_0_19259,plain,
( xor(xor(X,carry),xor(t2,or(cin,sum))) != not(xor(a,xor(sum,X)))
| xor(sum,xor(xor(X,carry),xor(t2,or(cin,sum)))) = xor(sum,not(xor(a,xor(sum,X)))) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(xor(X,carry),xor(t2,or(cin,sum)))),xor(sum,xor(xor(X,carry),xor(t2,or(cin,sum))))) )],[refute_0_19257,refute_0_19258]) ).
cnf(refute_0_19260,plain,
xor(sum,xor(xor(X,carry),xor(t2,or(cin,sum)))) = xor(sum,not(xor(a,xor(sum,X)))),
inference(resolve,[$cnf( $equal(xor(xor(X,carry),xor(t2,or(cin,sum))),not(xor(a,xor(sum,X)))) )],[refute_0_19256,refute_0_19259]) ).
cnf(refute_0_19261,plain,
( xor(sum,not(xor(a,xor(sum,X)))) != not(xor(a,X))
| xor(sum,xor(xor(X,carry),xor(t2,or(cin,sum)))) != xor(sum,not(xor(a,xor(sum,X))))
| xor(sum,xor(xor(X,carry),xor(t2,or(cin,sum)))) = not(xor(a,X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(sum,xor(xor(X,carry),xor(t2,or(cin,sum)))))),bind(Y0,$fot(xor(sum,not(xor(a,xor(sum,X)))))),bind(Z0,$fot(not(xor(a,X))))]]) ).
cnf(refute_0_19262,plain,
( xor(sum,not(xor(a,xor(sum,X)))) != not(xor(a,X))
| xor(sum,xor(xor(X,carry),xor(t2,or(cin,sum)))) = not(xor(a,X)) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(xor(X,carry),xor(t2,or(cin,sum)))),xor(sum,not(xor(a,xor(sum,X))))) )],[refute_0_19260,refute_0_19261]) ).
cnf(refute_0_19263,plain,
xor(sum,xor(xor(X,carry),xor(t2,or(cin,sum)))) = not(xor(a,X)),
inference(resolve,[$cnf( $equal(xor(sum,not(xor(a,xor(sum,X)))),not(xor(a,X))) )],[refute_0_19180,refute_0_19262]) ).
cnf(refute_0_19264,plain,
xor(xor(X,carry),xor(sum,xor(t2,or(cin,sum)))) = xor(sum,xor(xor(X,carry),xor(t2,or(cin,sum)))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(sum)),bind(X_334,$fot(xor(X,carry))),bind(X_335,$fot(xor(t2,or(cin,sum))))]]) ).
cnf(refute_0_19265,plain,
( xor(sum,xor(xor(X,carry),xor(t2,or(cin,sum)))) != not(xor(a,X))
| xor(xor(X,carry),xor(sum,xor(t2,or(cin,sum)))) != xor(sum,xor(xor(X,carry),xor(t2,or(cin,sum))))
| xor(xor(X,carry),xor(sum,xor(t2,or(cin,sum)))) = not(xor(a,X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(xor(X,carry),xor(sum,xor(t2,or(cin,sum)))))),bind(Y0,$fot(xor(sum,xor(xor(X,carry),xor(t2,or(cin,sum)))))),bind(Z0,$fot(not(xor(a,X))))]]) ).
cnf(refute_0_19266,plain,
( xor(sum,xor(xor(X,carry),xor(t2,or(cin,sum)))) != not(xor(a,X))
| xor(xor(X,carry),xor(sum,xor(t2,or(cin,sum)))) = not(xor(a,X)) ),
inference(resolve,[$cnf( $equal(xor(xor(X,carry),xor(sum,xor(t2,or(cin,sum)))),xor(sum,xor(xor(X,carry),xor(t2,or(cin,sum))))) )],[refute_0_19264,refute_0_19265]) ).
cnf(refute_0_19267,plain,
xor(xor(X,carry),xor(sum,xor(t2,or(cin,sum)))) = not(xor(a,X)),
inference(resolve,[$cnf( $equal(xor(sum,xor(xor(X,carry),xor(t2,or(cin,sum)))),not(xor(a,X))) )],[refute_0_19263,refute_0_19266]) ).
cnf(refute_0_19268,plain,
( not(xor(X,a)) != xor(xor(X,carry),xor(sum,xor(t2,or(cin,sum))))
| xor(xor(X,carry),xor(sum,xor(t2,or(cin,sum)))) != not(xor(a,X))
| not(xor(X,a)) = not(xor(a,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(X,a)),not(xor(a,X))) ),[0],$fot(xor(xor(X,carry),xor(sum,xor(t2,or(cin,sum)))))]]) ).
cnf(refute_0_19269,plain,
( not(xor(X,a)) != xor(xor(X,carry),xor(sum,xor(t2,or(cin,sum))))
| not(xor(X,a)) = not(xor(a,X)) ),
inference(resolve,[$cnf( $equal(xor(xor(X,carry),xor(sum,xor(t2,or(cin,sum)))),not(xor(a,X))) )],[refute_0_19267,refute_0_19268]) ).
cnf(refute_0_19270,plain,
( xor(X,not(a)) != xor(xor(X,carry),xor(sum,xor(t2,or(cin,sum))))
| not(xor(X,a)) = not(xor(a,X)) ),
inference(resolve,[$cnf( $equal(not(xor(X,a)),xor(xor(X,carry),xor(sum,xor(t2,or(cin,sum))))) )],[refute_0_19094,refute_0_19269]) ).
cnf(refute_0_19271,plain,
not(xor(X,a)) = not(xor(a,X)),
inference(resolve,[$cnf( $equal(xor(X,not(a)),xor(xor(X,carry),xor(sum,xor(t2,or(cin,sum))))) )],[refute_0_19091,refute_0_19270]) ).
cnf(refute_0_19272,plain,
not(xor(t1,a)) = not(xor(a,t1)),
inference(subst,[],[refute_0_19271:[bind(X,$fot(t1))]]) ).
cnf(refute_0_19273,plain,
xor(t1,not(a)) = not(xor(t1,a)),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t1)),bind(X_334,$fot(a))]]) ).
cnf(refute_0_19274,plain,
( not(xor(t1,a)) != not(xor(a,t1))
| xor(t1,not(a)) != not(xor(t1,a))
| xor(t1,not(a)) = not(xor(a,t1)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t1,not(a)))),bind(Y0,$fot(not(xor(t1,a)))),bind(Z0,$fot(not(xor(a,t1))))]]) ).
cnf(refute_0_19275,plain,
( not(xor(t1,a)) != not(xor(a,t1))
| xor(t1,not(a)) = not(xor(a,t1)) ),
inference(resolve,[$cnf( $equal(xor(t1,not(a)),not(xor(t1,a))) )],[refute_0_19273,refute_0_19274]) ).
cnf(refute_0_19276,plain,
xor(t1,not(a)) = not(xor(a,t1)),
inference(resolve,[$cnf( $equal(not(xor(t1,a)),not(xor(a,t1))) )],[refute_0_19272,refute_0_19275]) ).
cnf(refute_0_19277,plain,
( not(xor(a,t1)) != not(t2)
| xor(t1,not(a)) != not(xor(a,t1))
| xor(t1,not(a)) = not(t2) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t1,not(a)))),bind(Y0,$fot(not(xor(a,t1)))),bind(Z0,$fot(not(t2)))]]) ).
cnf(refute_0_19278,plain,
( not(xor(a,t1)) != not(t2)
| xor(t1,not(a)) = not(t2) ),
inference(resolve,[$cnf( $equal(xor(t1,not(a)),not(xor(a,t1))) )],[refute_0_19276,refute_0_19277]) ).
cnf(refute_0_19279,plain,
xor(t1,not(a)) = not(t2),
inference(resolve,[$cnf( $equal(not(xor(a,t1)),not(t2)) )],[refute_0_18907,refute_0_19278]) ).
cnf(refute_0_19280,plain,
( xor(t1,not(a)) != and(t4,not(b))
| xor(t1,not(a)) != not(t2)
| not(t2) = and(t4,not(b)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,not(a)),and(t4,not(b))) ),[0],$fot(not(t2))]]) ).
cnf(refute_0_19281,plain,
( xor(t1,not(a)) != and(t4,not(b))
| not(t2) = and(t4,not(b)) ),
inference(resolve,[$cnf( $equal(xor(t1,not(a)),not(t2)) )],[refute_0_19279,refute_0_19280]) ).
cnf(refute_0_19282,plain,
not(t2) = and(t4,not(b)),
inference(resolve,[$cnf( $equal(xor(t1,not(a)),and(t4,not(b))) )],[refute_0_18903,refute_0_19281]) ).
cnf(refute_0_19283,plain,
( not(t2) != and(t4,not(b))
| and(t4,not(b)) = not(t2) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t2))),bind(Y0,$fot(and(t4,not(b))))]]) ).
cnf(refute_0_19284,plain,
and(t4,not(b)) = not(t2),
inference(resolve,[$cnf( $equal(not(t2),and(t4,not(b))) )],[refute_0_19282,refute_0_19283]) ).
cnf(refute_0_19285,plain,
( and(t4,not(b)) != not(t2)
| or(t6,or(b,and(t4,not(b)))) != ll1
| or(t6,or(b,not(t2))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,or(b,and(t4,not(b)))),ll1) ),[0,1,1],$fot(not(t2))]]) ).
cnf(refute_0_19286,plain,
( or(t6,or(b,and(t4,not(b)))) != ll1
| or(t6,or(b,not(t2))) = ll1 ),
inference(resolve,[$cnf( $equal(and(t4,not(b)),not(t2)) )],[refute_0_19284,refute_0_19285]) ).
cnf(refute_0_19287,plain,
or(t6,or(b,not(t2))) = ll1,
inference(resolve,[$cnf( $equal(or(t6,or(b,and(t4,not(b)))),ll1) )],[refute_0_18720,refute_0_19286]) ).
cnf(refute_0_19288,plain,
or(t6,or(b,not(t2))) = or(b,or(t6,not(t2))),
inference(subst,[],[refute_0_267:[bind(X_37,$fot(t6)),bind(X_38,$fot(b)),bind(X_39,$fot(not(t2)))]]) ).
cnf(refute_0_19289,plain,
( or(t6,or(b,not(t2))) != ll1
| or(t6,or(b,not(t2))) != or(b,or(t6,not(t2)))
| or(b,or(t6,not(t2))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,or(b,not(t2))),ll1) ),[0],$fot(or(b,or(t6,not(t2))))]]) ).
cnf(refute_0_19290,plain,
( or(t6,or(b,not(t2))) != ll1
| or(b,or(t6,not(t2))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t6,or(b,not(t2))),or(b,or(t6,not(t2)))) )],[refute_0_19288,refute_0_19289]) ).
cnf(refute_0_19291,plain,
or(b,or(t6,not(t2))) = ll1,
inference(resolve,[$cnf( $equal(or(t6,or(b,not(t2))),ll1) )],[refute_0_19287,refute_0_19290]) ).
cnf(refute_0_19292,plain,
( ll0 != xor(or(b,or(t6,not(t2))),or(or(t6,not(t2)),b))
| or(b,or(t6,not(t2))) != ll1
| ll0 = xor(ll1,or(or(t6,not(t2)),b)) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,xor(or(b,or(t6,not(t2))),or(or(t6,not(t2)),b))) ),[1,0],$fot(ll1)]]) ).
cnf(refute_0_19293,plain,
( ll0 != xor(or(b,or(t6,not(t2))),or(or(t6,not(t2)),b))
| ll0 = xor(ll1,or(or(t6,not(t2)),b)) ),
inference(resolve,[$cnf( $equal(or(b,or(t6,not(t2))),ll1) )],[refute_0_19291,refute_0_19292]) ).
cnf(refute_0_19294,plain,
ll0 = xor(ll1,or(or(t6,not(t2)),b)),
inference(resolve,[$cnf( $equal(ll0,xor(or(b,or(t6,not(t2))),or(or(t6,not(t2)),b))) )],[refute_0_18699,refute_0_19293]) ).
cnf(refute_0_19295,plain,
and(not(or(b,t6)),t2) = and(t2,not(or(b,t6))),
inference(subst,[],[refute_0_116:[bind(X,$fot(t2)),bind(Y,$fot(not(or(b,t6))))]]) ).
cnf(refute_0_19296,plain,
not(or(b,or(t6,not(t2)))) = and(not(or(b,t6)),t2),
inference(subst,[],[refute_0_7097:[bind(X,$fot(b)),bind(Y,$fot(t6)),bind(X_78,$fot(t2))]]) ).
cnf(refute_0_19297,plain,
( and(not(or(b,t6)),t2) != and(t2,not(or(b,t6)))
| not(or(b,or(t6,not(t2)))) != and(not(or(b,t6)),t2)
| not(or(b,or(t6,not(t2)))) = and(t2,not(or(b,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(b,or(t6,not(t2)))))),bind(Y0,$fot(and(not(or(b,t6)),t2))),bind(Z0,$fot(and(t2,not(or(b,t6)))))]]) ).
cnf(refute_0_19298,plain,
( and(not(or(b,t6)),t2) != and(t2,not(or(b,t6)))
| not(or(b,or(t6,not(t2)))) = and(t2,not(or(b,t6))) ),
inference(resolve,[$cnf( $equal(not(or(b,or(t6,not(t2)))),and(not(or(b,t6)),t2)) )],[refute_0_19296,refute_0_19297]) ).
cnf(refute_0_19299,plain,
not(or(b,or(t6,not(t2)))) = and(t2,not(or(b,t6))),
inference(resolve,[$cnf( $equal(and(not(or(b,t6)),t2),and(t2,not(or(b,t6)))) )],[refute_0_19295,refute_0_19298]) ).
cnf(refute_0_19300,plain,
not(or(X,xor(t1,t3))) = and(not(X),not(xor(t1,t3))),
inference(subst,[],[or_demorgan:[bind(Y,$fot(xor(t1,t3)))]]) ).
cnf(refute_0_19301,plain,
( not(or(X,xor(t1,t3))) != and(not(X),not(xor(t1,t3)))
| not(xor(t1,t3)) != and(t1,t3)
| not(or(X,xor(t1,t3))) = and(not(X),and(t1,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t1,t3))),and(not(X),not(xor(t1,t3)))) ),[1,1],$fot(and(t1,t3))]]) ).
cnf(refute_0_19302,plain,
( not(or(X,xor(t1,t3))) != and(not(X),not(xor(t1,t3)))
| not(or(X,xor(t1,t3))) = and(not(X),and(t1,t3)) ),
inference(resolve,[$cnf( $equal(not(xor(t1,t3)),and(t1,t3)) )],[refute_0_3010,refute_0_19301]) ).
cnf(refute_0_19303,plain,
not(or(X,xor(t1,t3))) = and(not(X),and(t1,t3)),
inference(resolve,[$cnf( $equal(not(or(X,xor(t1,t3))),and(not(X),not(xor(t1,t3)))) )],[refute_0_19300,refute_0_19302]) ).
cnf(refute_0_19304,plain,
not(or(not(and(t1,t3)),X_26)) = and(and(t1,t3),not(X_26)),
inference(subst,[],[refute_0_159:[bind(X,$fot(and(t1,t3)))]]) ).
cnf(refute_0_19305,plain,
( not(and(t1,t3)) != xor(t1,t3)
| not(or(not(and(t1,t3)),X_26)) != and(and(t1,t3),not(X_26))
| not(or(xor(t1,t3),X_26)) = and(and(t1,t3),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(and(t1,t3)),X_26)),and(and(t1,t3),not(X_26))) ),[0,0,0],$fot(xor(t1,t3))]]) ).
cnf(refute_0_19306,plain,
( not(or(not(and(t1,t3)),X_26)) != and(and(t1,t3),not(X_26))
| not(or(xor(t1,t3),X_26)) = and(and(t1,t3),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(and(t1,t3)),xor(t1,t3)) )],[refute_0_3007,refute_0_19305]) ).
cnf(refute_0_19307,plain,
not(or(xor(t1,t3),X_26)) = and(and(t1,t3),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(not(and(t1,t3)),X_26)),and(and(t1,t3),not(X_26))) )],[refute_0_19304,refute_0_19306]) ).
cnf(refute_0_19308,plain,
and(and(t1,t3),not(X_26)) = and(t1,and(t3,not(X_26))),
inference(subst,[],[and_associative:[bind(X,$fot(t1)),bind(Y,$fot(t3)),bind(Z,$fot(not(X_26)))]]) ).
cnf(refute_0_19309,plain,
( and(and(t1,t3),not(X_26)) != and(t1,and(t3,not(X_26)))
| not(or(xor(t1,t3),X_26)) != and(and(t1,t3),not(X_26))
| not(or(xor(t1,t3),X_26)) = and(t1,and(t3,not(X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(t1,t3),X_26)),and(and(t1,t3),not(X_26))) ),[1],$fot(and(t1,and(t3,not(X_26))))]]) ).
cnf(refute_0_19310,plain,
( not(or(xor(t1,t3),X_26)) != and(and(t1,t3),not(X_26))
| not(or(xor(t1,t3),X_26)) = and(t1,and(t3,not(X_26))) ),
inference(resolve,[$cnf( $equal(and(and(t1,t3),not(X_26)),and(t1,and(t3,not(X_26)))) )],[refute_0_19308,refute_0_19309]) ).
cnf(refute_0_19311,plain,
not(or(xor(t1,t3),X_26)) = and(t1,and(t3,not(X_26))),
inference(resolve,[$cnf( $equal(not(or(xor(t1,t3),X_26)),and(and(t1,t3),not(X_26))) )],[refute_0_19307,refute_0_19310]) ).
cnf(refute_0_19312,plain,
( not(or(xor(t1,t3),X_26)) != and(t1,and(t3,not(X_26)))
| and(t1,and(t3,not(X_26))) = not(or(xor(t1,t3),X_26)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(xor(t1,t3),X_26)))),bind(Y0,$fot(and(t1,and(t3,not(X_26)))))]]) ).
cnf(refute_0_19313,plain,
and(t1,and(t3,not(X_26))) = not(or(xor(t1,t3),X_26)),
inference(resolve,[$cnf( $equal(not(or(xor(t1,t3),X_26)),and(t1,and(t3,not(X_26)))) )],[refute_0_19311,refute_0_19312]) ).
cnf(refute_0_19314,plain,
and(t1,and(t3,not(X))) = not(or(xor(t1,t3),X)),
inference(subst,[],[refute_0_19313:[bind(X_26,$fot(X))]]) ).
cnf(refute_0_19315,plain,
and(t1,and(not(X),t3)) = and(t1,and(t3,not(X))),
inference(subst,[],[refute_0_2637:[bind(X_220,$fot(t1)),bind(X_221,$fot(t3)),bind(X_222,$fot(not(X)))]]) ).
cnf(refute_0_19316,plain,
( and(t1,and(not(X),t3)) != and(t1,and(t3,not(X)))
| and(t1,and(t3,not(X))) != not(or(xor(t1,t3),X))
| and(t1,and(not(X),t3)) = not(or(xor(t1,t3),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t1,and(not(X),t3)))),bind(Y0,$fot(and(t1,and(t3,not(X))))),bind(Z0,$fot(not(or(xor(t1,t3),X))))]]) ).
cnf(refute_0_19317,plain,
( and(t1,and(t3,not(X))) != not(or(xor(t1,t3),X))
| and(t1,and(not(X),t3)) = not(or(xor(t1,t3),X)) ),
inference(resolve,[$cnf( $equal(and(t1,and(not(X),t3)),and(t1,and(t3,not(X)))) )],[refute_0_19315,refute_0_19316]) ).
cnf(refute_0_19318,plain,
and(t1,and(not(X),t3)) = not(or(xor(t1,t3),X)),
inference(resolve,[$cnf( $equal(and(t1,and(t3,not(X))),not(or(xor(t1,t3),X))) )],[refute_0_19314,refute_0_19317]) ).
cnf(refute_0_19319,plain,
and(not(X),and(t1,t3)) = and(t1,and(not(X),t3)),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(X))),bind(X_221,$fot(t1)),bind(X_222,$fot(t3))]]) ).
cnf(refute_0_19320,plain,
( and(not(X),and(t1,t3)) != and(t1,and(not(X),t3))
| and(t1,and(not(X),t3)) != not(or(xor(t1,t3),X))
| and(not(X),and(t1,t3)) = not(or(xor(t1,t3),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(X),and(t1,t3)))),bind(Y0,$fot(and(t1,and(not(X),t3)))),bind(Z0,$fot(not(or(xor(t1,t3),X))))]]) ).
cnf(refute_0_19321,plain,
( and(t1,and(not(X),t3)) != not(or(xor(t1,t3),X))
| and(not(X),and(t1,t3)) = not(or(xor(t1,t3),X)) ),
inference(resolve,[$cnf( $equal(and(not(X),and(t1,t3)),and(t1,and(not(X),t3))) )],[refute_0_19319,refute_0_19320]) ).
cnf(refute_0_19322,plain,
and(not(X),and(t1,t3)) = not(or(xor(t1,t3),X)),
inference(resolve,[$cnf( $equal(and(t1,and(not(X),t3)),not(or(xor(t1,t3),X))) )],[refute_0_19318,refute_0_19321]) ).
cnf(refute_0_19323,plain,
( and(not(X),and(t1,t3)) != not(or(xor(t1,t3),X))
| not(or(X,xor(t1,t3))) != and(not(X),and(t1,t3))
| not(or(X,xor(t1,t3))) = not(or(xor(t1,t3),X)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t1,t3))),and(not(X),and(t1,t3))) ),[1],$fot(not(or(xor(t1,t3),X)))]]) ).
cnf(refute_0_19324,plain,
( not(or(X,xor(t1,t3))) != and(not(X),and(t1,t3))
| not(or(X,xor(t1,t3))) = not(or(xor(t1,t3),X)) ),
inference(resolve,[$cnf( $equal(and(not(X),and(t1,t3)),not(or(xor(t1,t3),X))) )],[refute_0_19322,refute_0_19323]) ).
cnf(refute_0_19325,plain,
not(or(X,xor(t1,t3))) = not(or(xor(t1,t3),X)),
inference(resolve,[$cnf( $equal(not(or(X,xor(t1,t3))),and(not(X),and(t1,t3))) )],[refute_0_19303,refute_0_19324]) ).
cnf(refute_0_19326,plain,
or(X,xor(t1,t3)) = or(X,xor(t1,t3)),
introduced(tautology,[refl,[$fot(or(X,xor(t1,t3)))]]) ).
cnf(refute_0_19327,plain,
( or(X,xor(t1,t3)) != or(X,xor(t1,t3))
| xor(t1,t3) != b
| or(X,xor(t1,t3)) = or(X,b) ),
introduced(tautology,[equality,[$cnf( $equal(or(X,xor(t1,t3)),or(X,xor(t1,t3))) ),[1,1],$fot(b)]]) ).
cnf(refute_0_19328,plain,
( xor(t1,t3) != b
| or(X,xor(t1,t3)) = or(X,b) ),
inference(resolve,[$cnf( $equal(or(X,xor(t1,t3)),or(X,xor(t1,t3))) )],[refute_0_19326,refute_0_19327]) ).
cnf(refute_0_19329,plain,
or(X,xor(t1,t3)) = or(X,b),
inference(resolve,[$cnf( $equal(xor(t1,t3),b) )],[refute_0_1872,refute_0_19328]) ).
cnf(refute_0_19330,plain,
not(or(X,xor(t1,t3))) = not(or(X,xor(t1,t3))),
introduced(tautology,[refl,[$fot(not(or(X,xor(t1,t3))))]]) ).
cnf(refute_0_19331,plain,
( not(or(X,xor(t1,t3))) != not(or(X,xor(t1,t3)))
| or(X,xor(t1,t3)) != or(X,b)
| not(or(X,xor(t1,t3))) = not(or(X,b)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t1,t3))),not(or(X,xor(t1,t3)))) ),[1,0],$fot(or(X,b))]]) ).
cnf(refute_0_19332,plain,
( or(X,xor(t1,t3)) != or(X,b)
| not(or(X,xor(t1,t3))) = not(or(X,b)) ),
inference(resolve,[$cnf( $equal(not(or(X,xor(t1,t3))),not(or(X,xor(t1,t3)))) )],[refute_0_19330,refute_0_19331]) ).
cnf(refute_0_19333,plain,
not(or(X,xor(t1,t3))) = not(or(X,b)),
inference(resolve,[$cnf( $equal(or(X,xor(t1,t3)),or(X,b)) )],[refute_0_19329,refute_0_19332]) ).
cnf(refute_0_19334,plain,
( not(or(X,xor(t1,t3))) != not(or(X,b))
| not(or(X,xor(t1,t3))) != not(or(xor(t1,t3),X))
| not(or(X,b)) = not(or(xor(t1,t3),X)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t1,t3))),not(or(xor(t1,t3),X))) ),[0],$fot(not(or(X,b)))]]) ).
cnf(refute_0_19335,plain,
( not(or(X,xor(t1,t3))) != not(or(xor(t1,t3),X))
| not(or(X,b)) = not(or(xor(t1,t3),X)) ),
inference(resolve,[$cnf( $equal(not(or(X,xor(t1,t3))),not(or(X,b))) )],[refute_0_19333,refute_0_19334]) ).
cnf(refute_0_19336,plain,
or(xor(t1,t3),X) = or(xor(t1,t3),X),
introduced(tautology,[refl,[$fot(or(xor(t1,t3),X))]]) ).
cnf(refute_0_19337,plain,
( or(xor(t1,t3),X) != or(xor(t1,t3),X)
| xor(t1,t3) != b
| or(xor(t1,t3),X) = or(b,X) ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(t1,t3),X),or(xor(t1,t3),X)) ),[1,0],$fot(b)]]) ).
cnf(refute_0_19338,plain,
( xor(t1,t3) != b
| or(xor(t1,t3),X) = or(b,X) ),
inference(resolve,[$cnf( $equal(or(xor(t1,t3),X),or(xor(t1,t3),X)) )],[refute_0_19336,refute_0_19337]) ).
cnf(refute_0_19339,plain,
or(xor(t1,t3),X) = or(b,X),
inference(resolve,[$cnf( $equal(xor(t1,t3),b) )],[refute_0_1872,refute_0_19338]) ).
cnf(refute_0_19340,plain,
not(or(xor(t1,t3),X)) = not(or(xor(t1,t3),X)),
introduced(tautology,[refl,[$fot(not(or(xor(t1,t3),X)))]]) ).
cnf(refute_0_19341,plain,
( not(or(xor(t1,t3),X)) != not(or(xor(t1,t3),X))
| or(xor(t1,t3),X) != or(b,X)
| not(or(xor(t1,t3),X)) = not(or(b,X)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(t1,t3),X)),not(or(xor(t1,t3),X))) ),[1,0],$fot(or(b,X))]]) ).
cnf(refute_0_19342,plain,
( or(xor(t1,t3),X) != or(b,X)
| not(or(xor(t1,t3),X)) = not(or(b,X)) ),
inference(resolve,[$cnf( $equal(not(or(xor(t1,t3),X)),not(or(xor(t1,t3),X))) )],[refute_0_19340,refute_0_19341]) ).
cnf(refute_0_19343,plain,
not(or(xor(t1,t3),X)) = not(or(b,X)),
inference(resolve,[$cnf( $equal(or(xor(t1,t3),X),or(b,X)) )],[refute_0_19339,refute_0_19342]) ).
cnf(refute_0_19344,plain,
( not(or(X,b)) != not(or(xor(t1,t3),X))
| not(or(xor(t1,t3),X)) != not(or(b,X))
| not(or(X,b)) = not(or(b,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(or(X,b)),not(or(b,X))) ),[0],$fot(not(or(xor(t1,t3),X)))]]) ).
cnf(refute_0_19345,plain,
( not(or(X,b)) != not(or(xor(t1,t3),X))
| not(or(X,b)) = not(or(b,X)) ),
inference(resolve,[$cnf( $equal(not(or(xor(t1,t3),X)),not(or(b,X))) )],[refute_0_19343,refute_0_19344]) ).
cnf(refute_0_19346,plain,
( not(or(X,xor(t1,t3))) != not(or(xor(t1,t3),X))
| not(or(X,b)) = not(or(b,X)) ),
inference(resolve,[$cnf( $equal(not(or(X,b)),not(or(xor(t1,t3),X))) )],[refute_0_19335,refute_0_19345]) ).
cnf(refute_0_19347,plain,
not(or(X,b)) = not(or(b,X)),
inference(resolve,[$cnf( $equal(not(or(X,xor(t1,t3))),not(or(xor(t1,t3),X))) )],[refute_0_19325,refute_0_19346]) ).
cnf(refute_0_19348,plain,
not(or(or(t6,not(t2)),b)) = not(or(b,or(t6,not(t2)))),
inference(subst,[],[refute_0_19347:[bind(X,$fot(or(t6,not(t2))))]]) ).
cnf(refute_0_19349,plain,
( not(or(b,or(t6,not(t2)))) != and(t2,not(or(b,t6)))
| not(or(or(t6,not(t2)),b)) != not(or(b,or(t6,not(t2))))
| not(or(or(t6,not(t2)),b)) = and(t2,not(or(b,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(or(t6,not(t2)),b)))),bind(Y0,$fot(not(or(b,or(t6,not(t2)))))),bind(Z0,$fot(and(t2,not(or(b,t6)))))]]) ).
cnf(refute_0_19350,plain,
( not(or(b,or(t6,not(t2)))) != and(t2,not(or(b,t6)))
| not(or(or(t6,not(t2)),b)) = and(t2,not(or(b,t6))) ),
inference(resolve,[$cnf( $equal(not(or(or(t6,not(t2)),b)),not(or(b,or(t6,not(t2))))) )],[refute_0_19348,refute_0_19349]) ).
cnf(refute_0_19351,plain,
not(or(or(t6,not(t2)),b)) = and(t2,not(or(b,t6))),
inference(resolve,[$cnf( $equal(not(or(b,or(t6,not(t2)))),and(t2,not(or(b,t6)))) )],[refute_0_19299,refute_0_19350]) ).
cnf(refute_0_19352,plain,
xor(ll1,or(or(t6,not(t2)),b)) = not(or(or(t6,not(t2)),b)),
inference(subst,[],[refute_0_3546:[bind(X_64,$fot(or(or(t6,not(t2)),b)))]]) ).
cnf(refute_0_19353,plain,
( not(or(or(t6,not(t2)),b)) != and(t2,not(or(b,t6)))
| xor(ll1,or(or(t6,not(t2)),b)) != not(or(or(t6,not(t2)),b))
| xor(ll1,or(or(t6,not(t2)),b)) = and(t2,not(or(b,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(ll1,or(or(t6,not(t2)),b)))),bind(Y0,$fot(not(or(or(t6,not(t2)),b)))),bind(Z0,$fot(and(t2,not(or(b,t6)))))]]) ).
cnf(refute_0_19354,plain,
( not(or(or(t6,not(t2)),b)) != and(t2,not(or(b,t6)))
| xor(ll1,or(or(t6,not(t2)),b)) = and(t2,not(or(b,t6))) ),
inference(resolve,[$cnf( $equal(xor(ll1,or(or(t6,not(t2)),b)),not(or(or(t6,not(t2)),b))) )],[refute_0_19352,refute_0_19353]) ).
cnf(refute_0_19355,plain,
xor(ll1,or(or(t6,not(t2)),b)) = and(t2,not(or(b,t6))),
inference(resolve,[$cnf( $equal(not(or(or(t6,not(t2)),b)),and(t2,not(or(b,t6)))) )],[refute_0_19351,refute_0_19354]) ).
cnf(refute_0_19356,plain,
( ll0 != xor(ll1,or(or(t6,not(t2)),b))
| xor(ll1,or(or(t6,not(t2)),b)) != and(t2,not(or(b,t6)))
| ll0 = and(t2,not(or(b,t6))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll0,and(t2,not(or(b,t6)))) ),[0],$fot(xor(ll1,or(or(t6,not(t2)),b)))]]) ).
cnf(refute_0_19357,plain,
( ll0 != xor(ll1,or(or(t6,not(t2)),b))
| ll0 = and(t2,not(or(b,t6))) ),
inference(resolve,[$cnf( $equal(xor(ll1,or(or(t6,not(t2)),b)),and(t2,not(or(b,t6)))) )],[refute_0_19355,refute_0_19356]) ).
cnf(refute_0_19358,plain,
ll0 = and(t2,not(or(b,t6))),
inference(resolve,[$cnf( $equal(ll0,xor(ll1,or(or(t6,not(t2)),b))) )],[refute_0_19294,refute_0_19357]) ).
cnf(refute_0_19359,plain,
( ll0 != and(t2,not(or(b,t6)))
| and(t2,not(or(b,t6))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(t2,not(or(b,t6)))))]]) ).
cnf(refute_0_19360,plain,
and(t2,not(or(b,t6))) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(t2,not(or(b,t6)))) )],[refute_0_19358,refute_0_19359]) ).
cnf(refute_0_19361,plain,
( and(t2,not(or(b,t6))) != ll0
| or(and(t2,not(or(b,t6))),and(not(t2),or(b,t6))) != xor(t2,or(b,t6))
| or(ll0,and(not(t2),or(b,t6))) = xor(t2,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t2,not(or(b,t6))),and(not(t2),or(b,t6))),xor(t2,or(b,t6))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_19362,plain,
( or(and(t2,not(or(b,t6))),and(not(t2),or(b,t6))) != xor(t2,or(b,t6))
| or(ll0,and(not(t2),or(b,t6))) = xor(t2,or(b,t6)) ),
inference(resolve,[$cnf( $equal(and(t2,not(or(b,t6))),ll0) )],[refute_0_19360,refute_0_19361]) ).
cnf(refute_0_19363,plain,
or(ll0,and(not(t2),or(b,t6))) = xor(t2,or(b,t6)),
inference(resolve,[$cnf( $equal(or(and(t2,not(or(b,t6))),and(not(t2),or(b,t6))),xor(t2,or(b,t6))) )],[refute_0_18698,refute_0_19362]) ).
cnf(refute_0_19364,plain,
or(ll0,and(not(t2),or(b,t6))) = and(not(t2),or(b,t6)),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(t2),or(b,t6))))]]) ).
cnf(refute_0_19365,plain,
( or(ll0,and(not(t2),or(b,t6))) != and(not(t2),or(b,t6))
| or(ll0,and(not(t2),or(b,t6))) != xor(t2,or(b,t6))
| and(not(t2),or(b,t6)) = xor(t2,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(t2),or(b,t6))),xor(t2,or(b,t6))) ),[0],$fot(and(not(t2),or(b,t6)))]]) ).
cnf(refute_0_19366,plain,
( or(ll0,and(not(t2),or(b,t6))) != xor(t2,or(b,t6))
| and(not(t2),or(b,t6)) = xor(t2,or(b,t6)) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t2),or(b,t6))),and(not(t2),or(b,t6))) )],[refute_0_19364,refute_0_19365]) ).
cnf(refute_0_19367,plain,
and(not(t2),or(b,t6)) = xor(t2,or(b,t6)),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t2),or(b,t6))),xor(t2,or(b,t6))) )],[refute_0_19363,refute_0_19366]) ).
cnf(refute_0_19368,plain,
( and(not(t2),or(b,t6)) != xor(t2,or(b,t6))
| or(not(t2),and(not(t2),or(b,t6))) != not(t2)
| or(not(t2),xor(t2,or(b,t6))) = not(t2) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t2),and(not(t2),or(b,t6))),not(t2)) ),[0,1],$fot(xor(t2,or(b,t6)))]]) ).
cnf(refute_0_19369,plain,
( or(not(t2),and(not(t2),or(b,t6))) != not(t2)
| or(not(t2),xor(t2,or(b,t6))) = not(t2) ),
inference(resolve,[$cnf( $equal(and(not(t2),or(b,t6)),xor(t2,or(b,t6))) )],[refute_0_19367,refute_0_19368]) ).
cnf(refute_0_19370,plain,
or(not(t2),xor(t2,or(b,t6))) = not(t2),
inference(resolve,[$cnf( $equal(or(not(t2),and(not(t2),or(b,t6))),not(t2)) )],[refute_0_18697,refute_0_19369]) ).
cnf(refute_0_19371,plain,
( not(or(xor(t2,or(b,t6)),not(t2))) != not(or(not(t2),xor(t2,or(b,t6))))
| or(not(t2),xor(t2,or(b,t6))) != not(t2)
| not(or(xor(t2,or(b,t6)),not(t2))) = not(not(t2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(t2,or(b,t6)),not(t2))),not(or(not(t2),xor(t2,or(b,t6))))) ),[1,0],$fot(not(t2))]]) ).
cnf(refute_0_19372,plain,
( not(or(xor(t2,or(b,t6)),not(t2))) != not(or(not(t2),xor(t2,or(b,t6))))
| not(or(xor(t2,or(b,t6)),not(t2))) = not(not(t2)) ),
inference(resolve,[$cnf( $equal(or(not(t2),xor(t2,or(b,t6))),not(t2)) )],[refute_0_19370,refute_0_19371]) ).
cnf(refute_0_19373,plain,
not(or(xor(t2,or(b,t6)),not(t2))) = not(not(t2)),
inference(resolve,[$cnf( $equal(not(or(xor(t2,or(b,t6)),not(t2))),not(or(not(t2),xor(t2,or(b,t6))))) )],[refute_0_18696,refute_0_19372]) ).
cnf(refute_0_19374,plain,
and(not(xor(t2,or(b,t6))),t2) = and(t2,not(xor(t2,or(b,t6)))),
inference(subst,[],[refute_0_116:[bind(X,$fot(t2)),bind(Y,$fot(not(xor(t2,or(b,t6)))))]]) ).
cnf(refute_0_19375,plain,
not(or(xor(t2,or(b,t6)),not(t2))) = and(not(xor(t2,or(b,t6))),t2),
inference(subst,[],[refute_0_801:[bind(X,$fot(t2)),bind(X_25,$fot(xor(t2,or(b,t6))))]]) ).
cnf(refute_0_19376,plain,
( and(not(xor(t2,or(b,t6))),t2) != and(t2,not(xor(t2,or(b,t6))))
| not(or(xor(t2,or(b,t6)),not(t2))) != and(not(xor(t2,or(b,t6))),t2)
| not(or(xor(t2,or(b,t6)),not(t2))) = and(t2,not(xor(t2,or(b,t6)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(xor(t2,or(b,t6)),not(t2))))),bind(Y0,$fot(and(not(xor(t2,or(b,t6))),t2))),bind(Z0,$fot(and(t2,not(xor(t2,or(b,t6))))))]]) ).
cnf(refute_0_19377,plain,
( and(not(xor(t2,or(b,t6))),t2) != and(t2,not(xor(t2,or(b,t6))))
| not(or(xor(t2,or(b,t6)),not(t2))) = and(t2,not(xor(t2,or(b,t6)))) ),
inference(resolve,[$cnf( $equal(not(or(xor(t2,or(b,t6)),not(t2))),and(not(xor(t2,or(b,t6))),t2)) )],[refute_0_19375,refute_0_19376]) ).
cnf(refute_0_19378,plain,
not(or(xor(t2,or(b,t6)),not(t2))) = and(t2,not(xor(t2,or(b,t6)))),
inference(resolve,[$cnf( $equal(and(not(xor(t2,or(b,t6))),t2),and(t2,not(xor(t2,or(b,t6))))) )],[refute_0_19374,refute_0_19377]) ).
cnf(refute_0_19379,plain,
( not(or(xor(t2,or(b,t6)),not(t2))) != and(t2,not(xor(t2,or(b,t6))))
| not(or(xor(t2,or(b,t6)),not(t2))) != not(not(t2))
| and(t2,not(xor(t2,or(b,t6)))) = not(not(t2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(t2,or(b,t6)),not(t2))),not(not(t2))) ),[0],$fot(and(t2,not(xor(t2,or(b,t6)))))]]) ).
cnf(refute_0_19380,plain,
( not(or(xor(t2,or(b,t6)),not(t2))) != not(not(t2))
| and(t2,not(xor(t2,or(b,t6)))) = not(not(t2)) ),
inference(resolve,[$cnf( $equal(not(or(xor(t2,or(b,t6)),not(t2))),and(t2,not(xor(t2,or(b,t6))))) )],[refute_0_19378,refute_0_19379]) ).
cnf(refute_0_19381,plain,
( and(t2,not(xor(t2,or(b,t6)))) != not(not(t2))
| not(not(t2)) != t2
| and(t2,not(xor(t2,or(b,t6)))) = t2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t2,not(xor(t2,or(b,t6)))),t2) ),[0],$fot(not(not(t2)))]]) ).
cnf(refute_0_19382,plain,
( and(t2,not(xor(t2,or(b,t6)))) != not(not(t2))
| and(t2,not(xor(t2,or(b,t6)))) = t2 ),
inference(resolve,[$cnf( $equal(not(not(t2)),t2) )],[refute_0_1710,refute_0_19381]) ).
cnf(refute_0_19383,plain,
( not(or(xor(t2,or(b,t6)),not(t2))) != not(not(t2))
| and(t2,not(xor(t2,or(b,t6)))) = t2 ),
inference(resolve,[$cnf( $equal(and(t2,not(xor(t2,or(b,t6)))),not(not(t2))) )],[refute_0_19380,refute_0_19382]) ).
cnf(refute_0_19384,plain,
and(t2,not(xor(t2,or(b,t6)))) = t2,
inference(resolve,[$cnf( $equal(not(or(xor(t2,or(b,t6)),not(t2))),not(not(t2))) )],[refute_0_19373,refute_0_19383]) ).
cnf(refute_0_19385,plain,
( and(t2,not(xor(t2,or(b,t6)))) != t2
| or(and(t2,not(xor(t2,or(b,t6)))),and(not(t2),xor(t2,or(b,t6)))) != xor(t2,xor(t2,or(b,t6)))
| or(t2,and(not(t2),xor(t2,or(b,t6)))) = xor(t2,xor(t2,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t2,not(xor(t2,or(b,t6)))),and(not(t2),xor(t2,or(b,t6)))),xor(t2,xor(t2,or(b,t6)))) ),[0,0],$fot(t2)]]) ).
cnf(refute_0_19386,plain,
( or(and(t2,not(xor(t2,or(b,t6)))),and(not(t2),xor(t2,or(b,t6)))) != xor(t2,xor(t2,or(b,t6)))
| or(t2,and(not(t2),xor(t2,or(b,t6)))) = xor(t2,xor(t2,or(b,t6))) ),
inference(resolve,[$cnf( $equal(and(t2,not(xor(t2,or(b,t6)))),t2) )],[refute_0_19384,refute_0_19385]) ).
cnf(refute_0_19387,plain,
or(t2,and(not(t2),xor(t2,or(b,t6)))) = xor(t2,xor(t2,or(b,t6))),
inference(resolve,[$cnf( $equal(or(and(t2,not(xor(t2,or(b,t6)))),and(not(t2),xor(t2,or(b,t6)))),xor(t2,xor(t2,or(b,t6)))) )],[refute_0_18695,refute_0_19386]) ).
cnf(refute_0_19388,plain,
and(xor(t2,or(b,t6)),or(not(t2),xor(t2,or(b,t6)))) = xor(t2,or(b,t6)),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(xor(t2,or(b,t6)))),bind(X_20,$fot(not(t2)))]]) ).
cnf(refute_0_19389,plain,
( and(xor(t2,or(b,t6)),or(not(t2),xor(t2,or(b,t6)))) != xor(t2,or(b,t6))
| or(not(t2),xor(t2,or(b,t6))) != not(t2)
| and(xor(t2,or(b,t6)),not(t2)) = xor(t2,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t2,or(b,t6)),or(not(t2),xor(t2,or(b,t6)))),xor(t2,or(b,t6))) ),[0,1],$fot(not(t2))]]) ).
cnf(refute_0_19390,plain,
( and(xor(t2,or(b,t6)),or(not(t2),xor(t2,or(b,t6)))) != xor(t2,or(b,t6))
| and(xor(t2,or(b,t6)),not(t2)) = xor(t2,or(b,t6)) ),
inference(resolve,[$cnf( $equal(or(not(t2),xor(t2,or(b,t6))),not(t2)) )],[refute_0_19370,refute_0_19389]) ).
cnf(refute_0_19391,plain,
and(xor(t2,or(b,t6)),not(t2)) = xor(t2,or(b,t6)),
inference(resolve,[$cnf( $equal(and(xor(t2,or(b,t6)),or(not(t2),xor(t2,or(b,t6)))),xor(t2,or(b,t6))) )],[refute_0_19388,refute_0_19390]) ).
cnf(refute_0_19392,plain,
and(xor(t2,or(b,t6)),not(t2)) = and(not(t2),xor(t2,or(b,t6))),
inference(subst,[],[refute_0_116:[bind(X,$fot(not(t2))),bind(Y,$fot(xor(t2,or(b,t6))))]]) ).
cnf(refute_0_19393,plain,
( and(xor(t2,or(b,t6)),not(t2)) != and(not(t2),xor(t2,or(b,t6)))
| and(xor(t2,or(b,t6)),not(t2)) != xor(t2,or(b,t6))
| and(not(t2),xor(t2,or(b,t6))) = xor(t2,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t2,or(b,t6)),not(t2)),xor(t2,or(b,t6))) ),[0],$fot(and(not(t2),xor(t2,or(b,t6))))]]) ).
cnf(refute_0_19394,plain,
( and(xor(t2,or(b,t6)),not(t2)) != xor(t2,or(b,t6))
| and(not(t2),xor(t2,or(b,t6))) = xor(t2,or(b,t6)) ),
inference(resolve,[$cnf( $equal(and(xor(t2,or(b,t6)),not(t2)),and(not(t2),xor(t2,or(b,t6)))) )],[refute_0_19392,refute_0_19393]) ).
cnf(refute_0_19395,plain,
and(not(t2),xor(t2,or(b,t6))) = xor(t2,or(b,t6)),
inference(resolve,[$cnf( $equal(and(xor(t2,or(b,t6)),not(t2)),xor(t2,or(b,t6))) )],[refute_0_19391,refute_0_19394]) ).
cnf(refute_0_19396,plain,
or(t2,and(not(t2),xor(t2,or(b,t6)))) = or(t2,and(not(t2),xor(t2,or(b,t6)))),
introduced(tautology,[refl,[$fot(or(t2,and(not(t2),xor(t2,or(b,t6)))))]]) ).
cnf(refute_0_19397,plain,
( and(not(t2),xor(t2,or(b,t6))) != xor(t2,or(b,t6))
| or(t2,and(not(t2),xor(t2,or(b,t6)))) != or(t2,and(not(t2),xor(t2,or(b,t6))))
| or(t2,and(not(t2),xor(t2,or(b,t6)))) = or(t2,xor(t2,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,and(not(t2),xor(t2,or(b,t6)))),or(t2,and(not(t2),xor(t2,or(b,t6))))) ),[1,1],$fot(xor(t2,or(b,t6)))]]) ).
cnf(refute_0_19398,plain,
( and(not(t2),xor(t2,or(b,t6))) != xor(t2,or(b,t6))
| or(t2,and(not(t2),xor(t2,or(b,t6)))) = or(t2,xor(t2,or(b,t6))) ),
inference(resolve,[$cnf( $equal(or(t2,and(not(t2),xor(t2,or(b,t6)))),or(t2,and(not(t2),xor(t2,or(b,t6))))) )],[refute_0_19396,refute_0_19397]) ).
cnf(refute_0_19399,plain,
or(t2,and(not(t2),xor(t2,or(b,t6)))) = or(t2,xor(t2,or(b,t6))),
inference(resolve,[$cnf( $equal(and(not(t2),xor(t2,or(b,t6))),xor(t2,or(b,t6))) )],[refute_0_19395,refute_0_19398]) ).
cnf(refute_0_19400,plain,
( or(t2,and(not(t2),xor(t2,or(b,t6)))) != or(t2,xor(t2,or(b,t6)))
| or(t2,and(not(t2),xor(t2,or(b,t6)))) != xor(t2,xor(t2,or(b,t6)))
| or(t2,xor(t2,or(b,t6))) = xor(t2,xor(t2,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,and(not(t2),xor(t2,or(b,t6)))),xor(t2,xor(t2,or(b,t6)))) ),[0],$fot(or(t2,xor(t2,or(b,t6))))]]) ).
cnf(refute_0_19401,plain,
( or(t2,and(not(t2),xor(t2,or(b,t6)))) != xor(t2,xor(t2,or(b,t6)))
| or(t2,xor(t2,or(b,t6))) = xor(t2,xor(t2,or(b,t6))) ),
inference(resolve,[$cnf( $equal(or(t2,and(not(t2),xor(t2,or(b,t6)))),or(t2,xor(t2,or(b,t6)))) )],[refute_0_19399,refute_0_19400]) ).
cnf(refute_0_19402,plain,
xor(t2,xor(t2,or(b,t6))) = or(b,t6),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(t2)),bind(X_335,$fot(or(b,t6)))]]) ).
cnf(refute_0_19403,plain,
( or(t2,xor(t2,or(b,t6))) != xor(t2,xor(t2,or(b,t6)))
| xor(t2,xor(t2,or(b,t6))) != or(b,t6)
| or(t2,xor(t2,or(b,t6))) = or(b,t6) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(t2,xor(t2,or(b,t6))),or(b,t6)) ),[0],$fot(xor(t2,xor(t2,or(b,t6))))]]) ).
cnf(refute_0_19404,plain,
( or(t2,xor(t2,or(b,t6))) != xor(t2,xor(t2,or(b,t6)))
| or(t2,xor(t2,or(b,t6))) = or(b,t6) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t2,or(b,t6))),or(b,t6)) )],[refute_0_19402,refute_0_19403]) ).
cnf(refute_0_19405,plain,
( or(t2,and(not(t2),xor(t2,or(b,t6)))) != xor(t2,xor(t2,or(b,t6)))
| or(t2,xor(t2,or(b,t6))) = or(b,t6) ),
inference(resolve,[$cnf( $equal(or(t2,xor(t2,or(b,t6))),xor(t2,xor(t2,or(b,t6)))) )],[refute_0_19401,refute_0_19404]) ).
cnf(refute_0_19406,plain,
or(t2,xor(t2,or(b,t6))) = or(b,t6),
inference(resolve,[$cnf( $equal(or(t2,and(not(t2),xor(t2,or(b,t6)))),xor(t2,xor(t2,or(b,t6)))) )],[refute_0_19387,refute_0_19405]) ).
cnf(refute_0_19407,plain,
( and(t2,or(t2,xor(t2,or(b,t6)))) != t2
| or(t2,xor(t2,or(b,t6))) != or(b,t6)
| and(t2,or(b,t6)) = t2 ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,or(t2,xor(t2,or(b,t6)))),t2) ),[0,1],$fot(or(b,t6))]]) ).
cnf(refute_0_19408,plain,
( and(t2,or(t2,xor(t2,or(b,t6)))) != t2
| and(t2,or(b,t6)) = t2 ),
inference(resolve,[$cnf( $equal(or(t2,xor(t2,or(b,t6))),or(b,t6)) )],[refute_0_19406,refute_0_19407]) ).
cnf(refute_0_19409,plain,
and(t2,or(b,t6)) = t2,
inference(resolve,[$cnf( $equal(and(t2,or(t2,xor(t2,or(b,t6)))),t2) )],[refute_0_18694,refute_0_19408]) ).
cnf(refute_0_19410,plain,
( and(t2,or(b,t6)) != t2
| or(or(b,t6),and(t2,or(b,t6))) != or(b,t6)
| or(or(b,t6),t2) = or(b,t6) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(b,t6),and(t2,or(b,t6))),or(b,t6)) ),[0,1],$fot(t2)]]) ).
cnf(refute_0_19411,plain,
( or(or(b,t6),and(t2,or(b,t6))) != or(b,t6)
| or(or(b,t6),t2) = or(b,t6) ),
inference(resolve,[$cnf( $equal(and(t2,or(b,t6)),t2) )],[refute_0_19409,refute_0_19410]) ).
cnf(refute_0_19412,plain,
or(or(b,t6),t2) = or(b,t6),
inference(resolve,[$cnf( $equal(or(or(b,t6),and(t2,or(b,t6))),or(b,t6)) )],[refute_0_18693,refute_0_19411]) ).
cnf(refute_0_19413,plain,
not(not(or(t2,t6))) = or(t2,t6),
inference(subst,[],[not_involution:[bind(X,$fot(or(t2,t6)))]]) ).
cnf(refute_0_19414,plain,
and(not(t6),not(t2)) = and(t4,and(t5,not(t2))),
inference(subst,[],[refute_0_667:[bind(X_222,$fot(not(t2)))]]) ).
cnf(refute_0_19415,plain,
( and(not(t6),not(t2)) != and(t4,and(t5,not(t2)))
| and(t5,not(t2)) != not(or(carry,t2))
| and(not(t6),not(t2)) = and(t4,not(or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),not(t2)),and(t4,and(t5,not(t2)))) ),[1,1],$fot(not(or(carry,t2)))]]) ).
cnf(refute_0_19416,plain,
( and(not(t6),not(t2)) != and(t4,and(t5,not(t2)))
| and(not(t6),not(t2)) = and(t4,not(or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(t5,not(t2)),not(or(carry,t2))) )],[refute_0_5015,refute_0_19415]) ).
cnf(refute_0_19417,plain,
and(not(t6),not(t2)) = and(t4,not(or(carry,t2))),
inference(resolve,[$cnf( $equal(and(not(t6),not(t2)),and(t4,and(t5,not(t2)))) )],[refute_0_19414,refute_0_19416]) ).
cnf(refute_0_19418,plain,
not(or(t6,t2)) = not(or(t2,t6)),
inference(subst,[],[refute_0_562:[bind(X_25,$fot(t6)),bind(X_26,$fot(t2))]]) ).
cnf(refute_0_19419,plain,
and(not(t6),not(t2)) = not(or(t6,t2)),
inference(subst,[],[refute_0_101:[bind(X,$fot(t6)),bind(Y,$fot(t2))]]) ).
cnf(refute_0_19420,plain,
( and(not(t6),not(t2)) != not(or(t6,t2))
| not(or(t6,t2)) != not(or(t2,t6))
| and(not(t6),not(t2)) = not(or(t2,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t6),not(t2)))),bind(Y0,$fot(not(or(t6,t2)))),bind(Z0,$fot(not(or(t2,t6))))]]) ).
cnf(refute_0_19421,plain,
( not(or(t6,t2)) != not(or(t2,t6))
| and(not(t6),not(t2)) = not(or(t2,t6)) ),
inference(resolve,[$cnf( $equal(and(not(t6),not(t2)),not(or(t6,t2))) )],[refute_0_19419,refute_0_19420]) ).
cnf(refute_0_19422,plain,
and(not(t6),not(t2)) = not(or(t2,t6)),
inference(resolve,[$cnf( $equal(not(or(t6,t2)),not(or(t2,t6))) )],[refute_0_19418,refute_0_19421]) ).
cnf(refute_0_19423,plain,
( and(not(t6),not(t2)) != and(t4,not(or(carry,t2)))
| and(not(t6),not(t2)) != not(or(t2,t6))
| not(or(t2,t6)) = and(t4,not(or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),not(t2)),and(t4,not(or(carry,t2)))) ),[0],$fot(not(or(t2,t6)))]]) ).
cnf(refute_0_19424,plain,
( and(not(t6),not(t2)) != and(t4,not(or(carry,t2)))
| not(or(t2,t6)) = and(t4,not(or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(not(t6),not(t2)),not(or(t2,t6))) )],[refute_0_19422,refute_0_19423]) ).
cnf(refute_0_19425,plain,
and(not(or(X_107,t2)),or(t4,not(or(X_107,t2)))) = not(or(X_107,t2)),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(not(or(X_107,t2)))),bind(X_20,$fot(t4))]]) ).
cnf(refute_0_19426,plain,
or(or(t4,not(t2)),X_39) = or(t4,or(not(t2),X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(t4)),bind(Y,$fot(not(t2))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_19427,plain,
or(t4,and(t4,not(t2))) = t4,
inference(subst,[],[or_absorption:[bind(X,$fot(t4)),bind(Y,$fot(not(t2)))]]) ).
cnf(refute_0_19428,plain,
( and(t4,not(t2)) != not(t2)
| or(t4,and(t4,not(t2))) != t4
| or(t4,not(t2)) = t4 ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,and(t4,not(t2))),t4) ),[0,1],$fot(not(t2))]]) ).
cnf(refute_0_19429,plain,
( or(t4,and(t4,not(t2))) != t4
| or(t4,not(t2)) = t4 ),
inference(resolve,[$cnf( $equal(and(t4,not(t2)),not(t2)) )],[refute_0_9017,refute_0_19428]) ).
cnf(refute_0_19430,plain,
or(t4,not(t2)) = t4,
inference(resolve,[$cnf( $equal(or(t4,and(t4,not(t2))),t4) )],[refute_0_19427,refute_0_19429]) ).
cnf(refute_0_19431,plain,
( or(or(t4,not(t2)),X_39) != or(t4,or(not(t2),X_39))
| or(t4,not(t2)) != t4
| or(t4,X_39) = or(t4,or(not(t2),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t4,not(t2)),X_39),or(t4,or(not(t2),X_39))) ),[0,0],$fot(t4)]]) ).
cnf(refute_0_19432,plain,
( or(or(t4,not(t2)),X_39) != or(t4,or(not(t2),X_39))
| or(t4,X_39) = or(t4,or(not(t2),X_39)) ),
inference(resolve,[$cnf( $equal(or(t4,not(t2)),t4) )],[refute_0_19430,refute_0_19431]) ).
cnf(refute_0_19433,plain,
or(t4,X_39) = or(t4,or(not(t2),X_39)),
inference(resolve,[$cnf( $equal(or(or(t4,not(t2)),X_39),or(t4,or(not(t2),X_39))) )],[refute_0_19426,refute_0_19432]) ).
cnf(refute_0_19434,plain,
or(t4,and(X_14,not(t2))) = or(t4,or(not(t2),and(X_14,not(t2)))),
inference(subst,[],[refute_0_19433:[bind(X_39,$fot(and(X_14,not(t2))))]]) ).
cnf(refute_0_19435,plain,
or(not(t2),and(X_14,not(t2))) = not(t2),
inference(subst,[],[refute_0_222:[bind(X_13,$fot(not(t2)))]]) ).
cnf(refute_0_19436,plain,
( or(not(t2),and(X_14,not(t2))) != not(t2)
| or(t4,and(X_14,not(t2))) != or(t4,or(not(t2),and(X_14,not(t2))))
| or(t4,and(X_14,not(t2))) = or(t4,not(t2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,and(X_14,not(t2))),or(t4,or(not(t2),and(X_14,not(t2))))) ),[1,1],$fot(not(t2))]]) ).
cnf(refute_0_19437,plain,
( or(t4,and(X_14,not(t2))) != or(t4,or(not(t2),and(X_14,not(t2))))
| or(t4,and(X_14,not(t2))) = or(t4,not(t2)) ),
inference(resolve,[$cnf( $equal(or(not(t2),and(X_14,not(t2))),not(t2)) )],[refute_0_19435,refute_0_19436]) ).
cnf(refute_0_19438,plain,
or(t4,and(X_14,not(t2))) = or(t4,not(t2)),
inference(resolve,[$cnf( $equal(or(t4,and(X_14,not(t2))),or(t4,or(not(t2),and(X_14,not(t2))))) )],[refute_0_19434,refute_0_19437]) ).
cnf(refute_0_19439,plain,
( or(t4,and(X_14,not(t2))) != or(t4,not(t2))
| or(t4,not(t2)) != t4
| or(t4,and(X_14,not(t2))) = t4 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(t4,and(X_14,not(t2))),t4) ),[0],$fot(or(t4,not(t2)))]]) ).
cnf(refute_0_19440,plain,
( or(t4,and(X_14,not(t2))) != or(t4,not(t2))
| or(t4,and(X_14,not(t2))) = t4 ),
inference(resolve,[$cnf( $equal(or(t4,not(t2)),t4) )],[refute_0_19430,refute_0_19439]) ).
cnf(refute_0_19441,plain,
or(t4,and(X_14,not(t2))) = t4,
inference(resolve,[$cnf( $equal(or(t4,and(X_14,not(t2))),or(t4,not(t2))) )],[refute_0_19438,refute_0_19440]) ).
cnf(refute_0_19442,plain,
or(t4,and(not(X),not(t2))) = t4,
inference(subst,[],[refute_0_19441:[bind(X_14,$fot(not(X)))]]) ).
cnf(refute_0_19443,plain,
( and(not(X),not(t2)) != not(or(X,t2))
| or(t4,and(not(X),not(t2))) != t4
| or(t4,not(or(X,t2))) = t4 ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,and(not(X),not(t2))),t4) ),[0,1],$fot(not(or(X,t2)))]]) ).
cnf(refute_0_19444,plain,
( or(t4,and(not(X),not(t2))) != t4
| or(t4,not(or(X,t2))) = t4 ),
inference(resolve,[$cnf( $equal(and(not(X),not(t2)),not(or(X,t2))) )],[refute_0_6792,refute_0_19443]) ).
cnf(refute_0_19445,plain,
or(t4,not(or(X,t2))) = t4,
inference(resolve,[$cnf( $equal(or(t4,and(not(X),not(t2))),t4) )],[refute_0_19442,refute_0_19444]) ).
cnf(refute_0_19446,plain,
or(t4,not(or(X_107,t2))) = t4,
inference(subst,[],[refute_0_19445:[bind(X,$fot(X_107))]]) ).
cnf(refute_0_19447,plain,
( and(not(or(X_107,t2)),or(t4,not(or(X_107,t2)))) != not(or(X_107,t2))
| or(t4,not(or(X_107,t2))) != t4
| and(not(or(X_107,t2)),t4) = not(or(X_107,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(or(X_107,t2)),or(t4,not(or(X_107,t2)))),not(or(X_107,t2))) ),[0,1],$fot(t4)]]) ).
cnf(refute_0_19448,plain,
( and(not(or(X_107,t2)),or(t4,not(or(X_107,t2)))) != not(or(X_107,t2))
| and(not(or(X_107,t2)),t4) = not(or(X_107,t2)) ),
inference(resolve,[$cnf( $equal(or(t4,not(or(X_107,t2))),t4) )],[refute_0_19446,refute_0_19447]) ).
cnf(refute_0_19449,plain,
and(not(or(X_107,t2)),t4) = not(or(X_107,t2)),
inference(resolve,[$cnf( $equal(and(not(or(X_107,t2)),or(t4,not(or(X_107,t2)))),not(or(X_107,t2))) )],[refute_0_19425,refute_0_19448]) ).
cnf(refute_0_19450,plain,
and(not(or(X_107,t2)),t4) = and(t4,not(or(X_107,t2))),
inference(subst,[],[refute_0_116:[bind(X,$fot(t4)),bind(Y,$fot(not(or(X_107,t2))))]]) ).
cnf(refute_0_19451,plain,
( and(not(or(X_107,t2)),t4) != and(t4,not(or(X_107,t2)))
| and(not(or(X_107,t2)),t4) != not(or(X_107,t2))
| and(t4,not(or(X_107,t2))) = not(or(X_107,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(or(X_107,t2)),t4),not(or(X_107,t2))) ),[0],$fot(and(t4,not(or(X_107,t2))))]]) ).
cnf(refute_0_19452,plain,
( and(not(or(X_107,t2)),t4) != not(or(X_107,t2))
| and(t4,not(or(X_107,t2))) = not(or(X_107,t2)) ),
inference(resolve,[$cnf( $equal(and(not(or(X_107,t2)),t4),and(t4,not(or(X_107,t2)))) )],[refute_0_19450,refute_0_19451]) ).
cnf(refute_0_19453,plain,
and(t4,not(or(X_107,t2))) = not(or(X_107,t2)),
inference(resolve,[$cnf( $equal(and(not(or(X_107,t2)),t4),not(or(X_107,t2))) )],[refute_0_19449,refute_0_19452]) ).
cnf(refute_0_19454,plain,
and(t4,not(or(carry,t2))) = not(or(carry,t2)),
inference(subst,[],[refute_0_19453:[bind(X_107,$fot(carry))]]) ).
cnf(refute_0_19455,plain,
( and(t4,not(or(carry,t2))) != not(or(carry,t2))
| not(or(t2,t6)) != and(t4,not(or(carry,t2)))
| not(or(t2,t6)) = not(or(carry,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t2,t6)),and(t4,not(or(carry,t2)))) ),[1],$fot(not(or(carry,t2)))]]) ).
cnf(refute_0_19456,plain,
( not(or(t2,t6)) != and(t4,not(or(carry,t2)))
| not(or(t2,t6)) = not(or(carry,t2)) ),
inference(resolve,[$cnf( $equal(and(t4,not(or(carry,t2))),not(or(carry,t2))) )],[refute_0_19454,refute_0_19455]) ).
cnf(refute_0_19457,plain,
( and(not(t6),not(t2)) != and(t4,not(or(carry,t2)))
| not(or(t2,t6)) = not(or(carry,t2)) ),
inference(resolve,[$cnf( $equal(not(or(t2,t6)),and(t4,not(or(carry,t2)))) )],[refute_0_19424,refute_0_19456]) ).
cnf(refute_0_19458,plain,
not(or(t2,t6)) = not(or(carry,t2)),
inference(resolve,[$cnf( $equal(and(not(t6),not(t2)),and(t4,not(or(carry,t2)))) )],[refute_0_19417,refute_0_19457]) ).
cnf(refute_0_19459,plain,
( not(not(or(t2,t6))) != or(t2,t6)
| not(or(t2,t6)) != not(or(carry,t2))
| not(not(or(carry,t2))) = or(t2,t6) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(or(t2,t6))),or(t2,t6)) ),[0,0],$fot(not(or(carry,t2)))]]) ).
cnf(refute_0_19460,plain,
( not(not(or(t2,t6))) != or(t2,t6)
| not(not(or(carry,t2))) = or(t2,t6) ),
inference(resolve,[$cnf( $equal(not(or(t2,t6)),not(or(carry,t2))) )],[refute_0_19458,refute_0_19459]) ).
cnf(refute_0_19461,plain,
not(not(or(carry,t2))) = or(t2,t6),
inference(resolve,[$cnf( $equal(not(not(or(t2,t6))),or(t2,t6)) )],[refute_0_19413,refute_0_19460]) ).
cnf(refute_0_19462,plain,
( not(not(or(carry,t2))) != or(carry,t2)
| not(not(or(carry,t2))) != or(t2,t6)
| or(carry,t2) = or(t2,t6) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(or(carry,t2))),or(t2,t6)) ),[0],$fot(or(carry,t2))]]) ).
cnf(refute_0_19463,plain,
( not(not(or(carry,t2))) != or(t2,t6)
| or(carry,t2) = or(t2,t6) ),
inference(resolve,[$cnf( $equal(not(not(or(carry,t2))),or(carry,t2)) )],[refute_0_18607,refute_0_19462]) ).
cnf(refute_0_19464,plain,
or(carry,t2) = or(t2,t6),
inference(resolve,[$cnf( $equal(not(not(or(carry,t2))),or(t2,t6)) )],[refute_0_19461,refute_0_19463]) ).
cnf(refute_0_19465,plain,
( or(carry,t2) != or(t2,t6)
| or(t2,t6) = or(carry,t2) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(carry,t2))),bind(Y0,$fot(or(t2,t6)))]]) ).
cnf(refute_0_19466,plain,
or(t2,t6) = or(carry,t2),
inference(resolve,[$cnf( $equal(or(carry,t2),or(t2,t6)) )],[refute_0_19464,refute_0_19465]) ).
cnf(refute_0_19467,plain,
or(or(b,not(a)),Z) = or(b,or(not(a),Z)),
inference(subst,[],[or_associative:[bind(X,$fot(b)),bind(Y,$fot(not(a)))]]) ).
cnf(refute_0_19468,plain,
( or(b,not(a)) != or(b,t2)
| or(b,t2) != t2
| or(b,not(a)) = t2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(b,not(a)),t2) ),[0],$fot(or(b,t2))]]) ).
cnf(refute_0_19469,plain,
( or(b,not(a)) != or(b,t2)
| or(b,not(a)) = t2 ),
inference(resolve,[$cnf( $equal(or(b,t2),t2) )],[refute_0_6977,refute_0_19468]) ).
cnf(refute_0_19470,plain,
or(b,not(a)) = t2,
inference(resolve,[$cnf( $equal(or(b,not(a)),or(b,t2)) )],[refute_0_6474,refute_0_19469]) ).
cnf(refute_0_19471,plain,
( or(b,not(a)) != t2
| or(or(b,not(a)),Z) != or(b,or(not(a),Z))
| or(t2,Z) = or(b,or(not(a),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(b,not(a)),Z),or(b,or(not(a),Z))) ),[0,0],$fot(t2)]]) ).
cnf(refute_0_19472,plain,
( or(or(b,not(a)),Z) != or(b,or(not(a),Z))
| or(t2,Z) = or(b,or(not(a),Z)) ),
inference(resolve,[$cnf( $equal(or(b,not(a)),t2) )],[refute_0_19470,refute_0_19471]) ).
cnf(refute_0_19473,plain,
or(t2,Z) = or(b,or(not(a),Z)),
inference(resolve,[$cnf( $equal(or(or(b,not(a)),Z),or(b,or(not(a),Z))) )],[refute_0_19467,refute_0_19472]) ).
cnf(refute_0_19474,plain,
( or(b,not(a)) != or(b,t2)
| or(or(b,not(a)),Z) != or(b,or(not(a),Z))
| or(or(b,t2),Z) = or(b,or(not(a),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(b,not(a)),Z),or(b,or(not(a),Z))) ),[0,0],$fot(or(b,t2))]]) ).
cnf(refute_0_19475,plain,
( or(or(b,not(a)),Z) != or(b,or(not(a),Z))
| or(or(b,t2),Z) = or(b,or(not(a),Z)) ),
inference(resolve,[$cnf( $equal(or(b,not(a)),or(b,t2)) )],[refute_0_6474,refute_0_19474]) ).
cnf(refute_0_19476,plain,
or(or(b,t2),Z) = or(b,or(not(a),Z)),
inference(resolve,[$cnf( $equal(or(or(b,not(a)),Z),or(b,or(not(a),Z))) )],[refute_0_19467,refute_0_19475]) ).
cnf(refute_0_19477,plain,
or(or(b,t2),Z) = or(b,or(t2,Z)),
inference(subst,[],[or_associative:[bind(X,$fot(b)),bind(Y,$fot(t2))]]) ).
cnf(refute_0_19478,plain,
( or(or(b,t2),Z) != or(b,or(not(a),Z))
| or(or(b,t2),Z) != or(b,or(t2,Z))
| or(b,or(t2,Z)) = or(b,or(not(a),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(b,t2),Z),or(b,or(not(a),Z))) ),[0],$fot(or(b,or(t2,Z)))]]) ).
cnf(refute_0_19479,plain,
( or(or(b,t2),Z) != or(b,or(not(a),Z))
| or(b,or(t2,Z)) = or(b,or(not(a),Z)) ),
inference(resolve,[$cnf( $equal(or(or(b,t2),Z),or(b,or(t2,Z))) )],[refute_0_19477,refute_0_19478]) ).
cnf(refute_0_19480,plain,
or(b,or(t2,Z)) = or(b,or(not(a),Z)),
inference(resolve,[$cnf( $equal(or(or(b,t2),Z),or(b,or(not(a),Z))) )],[refute_0_19476,refute_0_19479]) ).
cnf(refute_0_19481,plain,
( or(b,or(t2,Z)) != or(b,or(not(a),Z))
| or(b,or(not(a),Z)) = or(b,or(t2,Z)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(b,or(t2,Z)))),bind(Y0,$fot(or(b,or(not(a),Z))))]]) ).
cnf(refute_0_19482,plain,
or(b,or(not(a),Z)) = or(b,or(t2,Z)),
inference(resolve,[$cnf( $equal(or(b,or(t2,Z)),or(b,or(not(a),Z))) )],[refute_0_19480,refute_0_19481]) ).
cnf(refute_0_19483,plain,
( or(b,or(not(a),Z)) != or(b,or(t2,Z))
| or(t2,Z) != or(b,or(not(a),Z))
| or(t2,Z) = or(b,or(t2,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,Z),or(b,or(not(a),Z))) ),[1],$fot(or(b,or(t2,Z)))]]) ).
cnf(refute_0_19484,plain,
( or(t2,Z) != or(b,or(not(a),Z))
| or(t2,Z) = or(b,or(t2,Z)) ),
inference(resolve,[$cnf( $equal(or(b,or(not(a),Z)),or(b,or(t2,Z))) )],[refute_0_19482,refute_0_19483]) ).
cnf(refute_0_19485,plain,
or(t2,Z) = or(b,or(t2,Z)),
inference(resolve,[$cnf( $equal(or(t2,Z),or(b,or(not(a),Z))) )],[refute_0_19473,refute_0_19484]) ).
cnf(refute_0_19486,plain,
( or(t2,Z) != or(b,or(t2,Z))
| or(b,or(t2,Z)) = or(t2,Z) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(t2,Z))),bind(Y0,$fot(or(b,or(t2,Z))))]]) ).
cnf(refute_0_19487,plain,
or(b,or(t2,Z)) = or(t2,Z),
inference(resolve,[$cnf( $equal(or(t2,Z),or(b,or(t2,Z))) )],[refute_0_19485,refute_0_19486]) ).
cnf(refute_0_19488,plain,
or(b,or(t2,t6)) = or(t2,t6),
inference(subst,[],[refute_0_19487:[bind(Z,$fot(t6))]]) ).
cnf(refute_0_19489,plain,
( or(b,or(t2,t6)) != or(t2,t6)
| or(t2,t6) != or(carry,t2)
| or(b,or(t2,t6)) = or(carry,t2) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(b,or(t2,t6)))),bind(Y0,$fot(or(t2,t6))),bind(Z0,$fot(or(carry,t2)))]]) ).
cnf(refute_0_19490,plain,
( or(t2,t6) != or(carry,t2)
| or(b,or(t2,t6)) = or(carry,t2) ),
inference(resolve,[$cnf( $equal(or(b,or(t2,t6)),or(t2,t6)) )],[refute_0_19488,refute_0_19489]) ).
cnf(refute_0_19491,plain,
or(b,or(t2,t6)) = or(carry,t2),
inference(resolve,[$cnf( $equal(or(t2,t6),or(carry,t2)) )],[refute_0_19466,refute_0_19490]) ).
cnf(refute_0_19492,plain,
or(b,or(t6,t2)) = or(b,or(t2,t6)),
inference(subst,[],[refute_0_3788:[bind(X_37,$fot(b)),bind(X_38,$fot(t2)),bind(X_39,$fot(t6))]]) ).
cnf(refute_0_19493,plain,
( or(b,or(t2,t6)) != or(carry,t2)
| or(b,or(t6,t2)) != or(b,or(t2,t6))
| or(b,or(t6,t2)) = or(carry,t2) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(b,or(t6,t2)))),bind(Y0,$fot(or(b,or(t2,t6)))),bind(Z0,$fot(or(carry,t2)))]]) ).
cnf(refute_0_19494,plain,
( or(b,or(t2,t6)) != or(carry,t2)
| or(b,or(t6,t2)) = or(carry,t2) ),
inference(resolve,[$cnf( $equal(or(b,or(t6,t2)),or(b,or(t2,t6))) )],[refute_0_19492,refute_0_19493]) ).
cnf(refute_0_19495,plain,
or(b,or(t6,t2)) = or(carry,t2),
inference(resolve,[$cnf( $equal(or(b,or(t2,t6)),or(carry,t2)) )],[refute_0_19491,refute_0_19494]) ).
cnf(refute_0_19496,plain,
or(or(b,t6),t2) = or(b,or(t6,t2)),
inference(subst,[],[or_associative:[bind(X,$fot(b)),bind(Y,$fot(t6)),bind(Z,$fot(t2))]]) ).
cnf(refute_0_19497,plain,
( or(b,or(t6,t2)) != or(carry,t2)
| or(or(b,t6),t2) != or(b,or(t6,t2))
| or(or(b,t6),t2) = or(carry,t2) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(or(b,t6),t2))),bind(Y0,$fot(or(b,or(t6,t2)))),bind(Z0,$fot(or(carry,t2)))]]) ).
cnf(refute_0_19498,plain,
( or(b,or(t6,t2)) != or(carry,t2)
| or(or(b,t6),t2) = or(carry,t2) ),
inference(resolve,[$cnf( $equal(or(or(b,t6),t2),or(b,or(t6,t2))) )],[refute_0_19496,refute_0_19497]) ).
cnf(refute_0_19499,plain,
or(or(b,t6),t2) = or(carry,t2),
inference(resolve,[$cnf( $equal(or(b,or(t6,t2)),or(carry,t2)) )],[refute_0_19495,refute_0_19498]) ).
cnf(refute_0_19500,plain,
( or(or(b,t6),t2) != or(b,t6)
| or(or(b,t6),t2) != or(carry,t2)
| or(carry,t2) = or(b,t6) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(b,t6),t2),or(b,t6)) ),[0],$fot(or(carry,t2))]]) ).
cnf(refute_0_19501,plain,
( or(or(b,t6),t2) != or(b,t6)
| or(carry,t2) = or(b,t6) ),
inference(resolve,[$cnf( $equal(or(or(b,t6),t2),or(carry,t2)) )],[refute_0_19499,refute_0_19500]) ).
cnf(refute_0_19502,plain,
or(carry,t2) = or(b,t6),
inference(resolve,[$cnf( $equal(or(or(b,t6),t2),or(b,t6)) )],[refute_0_19412,refute_0_19501]) ).
cnf(refute_0_19503,plain,
xor(t5,or(carry,t2)) = xor(t5,or(carry,t2)),
introduced(tautology,[refl,[$fot(xor(t5,or(carry,t2)))]]) ).
cnf(refute_0_19504,plain,
( or(carry,t2) != or(b,t6)
| xor(t5,or(carry,t2)) != xor(t5,or(carry,t2))
| xor(t5,or(carry,t2)) = xor(t5,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t5,or(carry,t2)),xor(t5,or(carry,t2))) ),[1,1],$fot(or(b,t6))]]) ).
cnf(refute_0_19505,plain,
( or(carry,t2) != or(b,t6)
| xor(t5,or(carry,t2)) = xor(t5,or(b,t6)) ),
inference(resolve,[$cnf( $equal(xor(t5,or(carry,t2)),xor(t5,or(carry,t2))) )],[refute_0_19503,refute_0_19504]) ).
cnf(refute_0_19506,plain,
xor(t5,or(carry,t2)) = xor(t5,or(b,t6)),
inference(resolve,[$cnf( $equal(or(carry,t2),or(b,t6)) )],[refute_0_19502,refute_0_19505]) ).
cnf(refute_0_19507,plain,
and(not(a),xor(t5,or(carry,t2))) = and(not(a),xor(t5,or(carry,t2))),
introduced(tautology,[refl,[$fot(and(not(a),xor(t5,or(carry,t2))))]]) ).
cnf(refute_0_19508,plain,
( and(not(a),xor(t5,or(carry,t2))) != and(not(a),xor(t5,or(carry,t2)))
| xor(t5,or(carry,t2)) != xor(t5,or(b,t6))
| and(not(a),xor(t5,or(carry,t2))) = and(not(a),xor(t5,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(a),xor(t5,or(carry,t2))),and(not(a),xor(t5,or(carry,t2)))) ),[1,1],$fot(xor(t5,or(b,t6)))]]) ).
cnf(refute_0_19509,plain,
( xor(t5,or(carry,t2)) != xor(t5,or(b,t6))
| and(not(a),xor(t5,or(carry,t2))) = and(not(a),xor(t5,or(b,t6))) ),
inference(resolve,[$cnf( $equal(and(not(a),xor(t5,or(carry,t2))),and(not(a),xor(t5,or(carry,t2)))) )],[refute_0_19507,refute_0_19508]) ).
cnf(refute_0_19510,plain,
and(not(a),xor(t5,or(carry,t2))) = and(not(a),xor(t5,or(b,t6))),
inference(resolve,[$cnf( $equal(xor(t5,or(carry,t2)),xor(t5,or(b,t6))) )],[refute_0_19506,refute_0_19509]) ).
cnf(refute_0_19511,plain,
( and(not(a),xor(t5,or(carry,t2))) != and(not(a),xor(t5,or(b,t6)))
| and(not(a),xor(t5,or(carry,t2))) != not(or(a,xor(carry,or(carry,t2))))
| and(not(a),xor(t5,or(b,t6))) = not(or(a,xor(carry,or(carry,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(a),xor(t5,or(carry,t2))),not(or(a,xor(carry,or(carry,t2))))) ),[0],$fot(and(not(a),xor(t5,or(b,t6))))]]) ).
cnf(refute_0_19512,plain,
( and(not(a),xor(t5,or(carry,t2))) != not(or(a,xor(carry,or(carry,t2))))
| and(not(a),xor(t5,or(b,t6))) = not(or(a,xor(carry,or(carry,t2)))) ),
inference(resolve,[$cnf( $equal(and(not(a),xor(t5,or(carry,t2))),and(not(a),xor(t5,or(b,t6)))) )],[refute_0_19510,refute_0_19511]) ).
cnf(refute_0_19513,plain,
xor(carry,or(carry,t2)) = xor(carry,or(carry,t2)),
introduced(tautology,[refl,[$fot(xor(carry,or(carry,t2)))]]) ).
cnf(refute_0_19514,plain,
( or(carry,t2) != or(b,t6)
| xor(carry,or(carry,t2)) != xor(carry,or(carry,t2))
| xor(carry,or(carry,t2)) = xor(carry,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,or(carry,t2)),xor(carry,or(carry,t2))) ),[1,1],$fot(or(b,t6))]]) ).
cnf(refute_0_19515,plain,
( or(carry,t2) != or(b,t6)
| xor(carry,or(carry,t2)) = xor(carry,or(b,t6)) ),
inference(resolve,[$cnf( $equal(xor(carry,or(carry,t2)),xor(carry,or(carry,t2))) )],[refute_0_19513,refute_0_19514]) ).
cnf(refute_0_19516,plain,
xor(carry,or(carry,t2)) = xor(carry,or(b,t6)),
inference(resolve,[$cnf( $equal(or(carry,t2),or(b,t6)) )],[refute_0_19502,refute_0_19515]) ).
cnf(refute_0_19517,plain,
or(a,xor(carry,or(carry,t2))) = or(a,xor(carry,or(carry,t2))),
introduced(tautology,[refl,[$fot(or(a,xor(carry,or(carry,t2))))]]) ).
cnf(refute_0_19518,plain,
( or(a,xor(carry,or(carry,t2))) != or(a,xor(carry,or(carry,t2)))
| xor(carry,or(carry,t2)) != xor(carry,or(b,t6))
| or(a,xor(carry,or(carry,t2))) = or(a,xor(carry,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(a,xor(carry,or(carry,t2))),or(a,xor(carry,or(carry,t2)))) ),[1,1],$fot(xor(carry,or(b,t6)))]]) ).
cnf(refute_0_19519,plain,
( xor(carry,or(carry,t2)) != xor(carry,or(b,t6))
| or(a,xor(carry,or(carry,t2))) = or(a,xor(carry,or(b,t6))) ),
inference(resolve,[$cnf( $equal(or(a,xor(carry,or(carry,t2))),or(a,xor(carry,or(carry,t2)))) )],[refute_0_19517,refute_0_19518]) ).
cnf(refute_0_19520,plain,
or(a,xor(carry,or(carry,t2))) = or(a,xor(carry,or(b,t6))),
inference(resolve,[$cnf( $equal(xor(carry,or(carry,t2)),xor(carry,or(b,t6))) )],[refute_0_19516,refute_0_19519]) ).
cnf(refute_0_19521,plain,
not(or(a,xor(carry,or(carry,t2)))) = not(or(a,xor(carry,or(carry,t2)))),
introduced(tautology,[refl,[$fot(not(or(a,xor(carry,or(carry,t2)))))]]) ).
cnf(refute_0_19522,plain,
( not(or(a,xor(carry,or(carry,t2)))) != not(or(a,xor(carry,or(carry,t2))))
| or(a,xor(carry,or(carry,t2))) != or(a,xor(carry,or(b,t6)))
| not(or(a,xor(carry,or(carry,t2)))) = not(or(a,xor(carry,or(b,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(a,xor(carry,or(carry,t2)))),not(or(a,xor(carry,or(carry,t2))))) ),[1,0],$fot(or(a,xor(carry,or(b,t6))))]]) ).
cnf(refute_0_19523,plain,
( or(a,xor(carry,or(carry,t2))) != or(a,xor(carry,or(b,t6)))
| not(or(a,xor(carry,or(carry,t2)))) = not(or(a,xor(carry,or(b,t6)))) ),
inference(resolve,[$cnf( $equal(not(or(a,xor(carry,or(carry,t2)))),not(or(a,xor(carry,or(carry,t2))))) )],[refute_0_19521,refute_0_19522]) ).
cnf(refute_0_19524,plain,
not(or(a,xor(carry,or(carry,t2)))) = not(or(a,xor(carry,or(b,t6)))),
inference(resolve,[$cnf( $equal(or(a,xor(carry,or(carry,t2))),or(a,xor(carry,or(b,t6)))) )],[refute_0_19520,refute_0_19523]) ).
cnf(refute_0_19525,plain,
( and(not(a),xor(t5,or(b,t6))) != not(or(a,xor(carry,or(carry,t2))))
| not(or(a,xor(carry,or(carry,t2)))) != not(or(a,xor(carry,or(b,t6))))
| and(not(a),xor(t5,or(b,t6))) = not(or(a,xor(carry,or(b,t6)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(a),xor(t5,or(b,t6))),not(or(a,xor(carry,or(b,t6))))) ),[0],$fot(not(or(a,xor(carry,or(carry,t2)))))]]) ).
cnf(refute_0_19526,plain,
( and(not(a),xor(t5,or(b,t6))) != not(or(a,xor(carry,or(carry,t2))))
| and(not(a),xor(t5,or(b,t6))) = not(or(a,xor(carry,or(b,t6)))) ),
inference(resolve,[$cnf( $equal(not(or(a,xor(carry,or(carry,t2)))),not(or(a,xor(carry,or(b,t6))))) )],[refute_0_19524,refute_0_19525]) ).
cnf(refute_0_19527,plain,
( and(not(a),xor(t5,or(carry,t2))) != not(or(a,xor(carry,or(carry,t2))))
| and(not(a),xor(t5,or(b,t6))) = not(or(a,xor(carry,or(b,t6)))) ),
inference(resolve,[$cnf( $equal(and(not(a),xor(t5,or(b,t6))),not(or(a,xor(carry,or(carry,t2))))) )],[refute_0_19512,refute_0_19526]) ).
cnf(refute_0_19528,plain,
and(not(a),xor(t5,or(b,t6))) = not(or(a,xor(carry,or(b,t6)))),
inference(resolve,[$cnf( $equal(and(not(a),xor(t5,or(carry,t2))),not(or(a,xor(carry,or(carry,t2))))) )],[refute_0_18692,refute_0_19527]) ).
cnf(refute_0_19529,plain,
and(not(a),not(xor(carry,or(carry,t2)))) = and(t1,and(t2,not(xor(carry,or(carry,t2))))),
inference(subst,[],[refute_0_600:[bind(Z,$fot(not(xor(carry,or(carry,t2)))))]]) ).
cnf(refute_0_19530,plain,
or(and(t2,not(xor(carry,or(carry,t2)))),and(not(t2),xor(carry,or(carry,t2)))) = xor(t2,xor(carry,or(carry,t2))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t2)),bind(Y,$fot(xor(carry,or(carry,t2))))]]) ).
cnf(refute_0_19531,plain,
and(not(t2),xor(carry,or(carry,t2))) = and(a,and(t1,xor(carry,or(carry,t2)))),
inference(subst,[],[refute_0_1927:[bind(X_222,$fot(xor(carry,or(carry,t2))))]]) ).
cnf(refute_0_19532,plain,
( and(not(t2),xor(carry,or(carry,t2))) != and(a,and(t1,xor(carry,or(carry,t2))))
| and(t1,xor(carry,or(carry,t2))) != xor(carry,or(carry,t2))
| and(not(t2),xor(carry,or(carry,t2))) = and(a,xor(carry,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),xor(carry,or(carry,t2))),and(a,and(t1,xor(carry,or(carry,t2))))) ),[1,1],$fot(xor(carry,or(carry,t2)))]]) ).
cnf(refute_0_19533,plain,
( and(not(t2),xor(carry,or(carry,t2))) != and(a,and(t1,xor(carry,or(carry,t2))))
| and(not(t2),xor(carry,or(carry,t2))) = and(a,xor(carry,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(t1,xor(carry,or(carry,t2))),xor(carry,or(carry,t2))) )],[refute_0_18634,refute_0_19532]) ).
cnf(refute_0_19534,plain,
and(not(t2),xor(carry,or(carry,t2))) = and(a,xor(carry,or(carry,t2))),
inference(resolve,[$cnf( $equal(and(not(t2),xor(carry,or(carry,t2))),and(a,and(t1,xor(carry,or(carry,t2))))) )],[refute_0_19531,refute_0_19533]) ).
cnf(refute_0_19535,plain,
and(or(t2,not(and(t5,or(carry,t2)))),not(or(not(and(t5,or(carry,t2))),t2))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(not(and(t5,or(carry,t2))))),bind(X_28,$fot(t2))]]) ).
cnf(refute_0_19536,plain,
or(not(t5),or(t2,and(t5,not(t2)))) = ll1,
inference(subst,[],[refute_0_167:[bind(X_29,$fot(t5)),bind(X_30,$fot(t2))]]) ).
cnf(refute_0_19537,plain,
( and(t5,not(t2)) != not(or(carry,t2))
| or(not(t5),or(t2,and(t5,not(t2)))) != ll1
| or(not(t5),or(t2,not(or(carry,t2)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t5),or(t2,and(t5,not(t2)))),ll1) ),[0,1,1],$fot(not(or(carry,t2)))]]) ).
cnf(refute_0_19538,plain,
( or(not(t5),or(t2,and(t5,not(t2)))) != ll1
| or(not(t5),or(t2,not(or(carry,t2)))) = ll1 ),
inference(resolve,[$cnf( $equal(and(t5,not(t2)),not(or(carry,t2))) )],[refute_0_5015,refute_0_19537]) ).
cnf(refute_0_19539,plain,
or(not(t5),or(t2,not(or(carry,t2)))) = ll1,
inference(resolve,[$cnf( $equal(or(not(t5),or(t2,and(t5,not(t2)))),ll1) )],[refute_0_19536,refute_0_19538]) ).
cnf(refute_0_19540,plain,
or(not(t5),not(or(carry,t2))) = not(and(t5,or(carry,t2))),
inference(subst,[],[refute_0_147:[bind(X,$fot(t5)),bind(Y,$fot(or(carry,t2)))]]) ).
cnf(refute_0_19541,plain,
or(t2,or(not(t5),not(or(carry,t2)))) = or(t2,or(not(t5),not(or(carry,t2)))),
introduced(tautology,[refl,[$fot(or(t2,or(not(t5),not(or(carry,t2)))))]]) ).
cnf(refute_0_19542,plain,
( or(not(t5),not(or(carry,t2))) != not(and(t5,or(carry,t2)))
| or(t2,or(not(t5),not(or(carry,t2)))) != or(t2,or(not(t5),not(or(carry,t2))))
| or(t2,or(not(t5),not(or(carry,t2)))) = or(t2,not(and(t5,or(carry,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,or(not(t5),not(or(carry,t2)))),or(t2,or(not(t5),not(or(carry,t2))))) ),[1,1],$fot(not(and(t5,or(carry,t2))))]]) ).
cnf(refute_0_19543,plain,
( or(not(t5),not(or(carry,t2))) != not(and(t5,or(carry,t2)))
| or(t2,or(not(t5),not(or(carry,t2)))) = or(t2,not(and(t5,or(carry,t2)))) ),
inference(resolve,[$cnf( $equal(or(t2,or(not(t5),not(or(carry,t2)))),or(t2,or(not(t5),not(or(carry,t2))))) )],[refute_0_19541,refute_0_19542]) ).
cnf(refute_0_19544,plain,
or(t2,or(not(t5),not(or(carry,t2)))) = or(t2,not(and(t5,or(carry,t2)))),
inference(resolve,[$cnf( $equal(or(not(t5),not(or(carry,t2))),not(and(t5,or(carry,t2)))) )],[refute_0_19540,refute_0_19543]) ).
cnf(refute_0_19545,plain,
or(not(t5),or(t2,not(or(carry,t2)))) = or(t2,or(not(t5),not(or(carry,t2)))),
inference(subst,[],[refute_0_267:[bind(X_37,$fot(not(t5))),bind(X_38,$fot(t2)),bind(X_39,$fot(not(or(carry,t2))))]]) ).
cnf(refute_0_19546,plain,
( or(not(t5),or(t2,not(or(carry,t2)))) != or(t2,or(not(t5),not(or(carry,t2))))
| or(t2,or(not(t5),not(or(carry,t2)))) != or(t2,not(and(t5,or(carry,t2))))
| or(not(t5),or(t2,not(or(carry,t2)))) = or(t2,not(and(t5,or(carry,t2)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t5),or(t2,not(or(carry,t2)))))),bind(Y0,$fot(or(t2,or(not(t5),not(or(carry,t2)))))),bind(Z0,$fot(or(t2,not(and(t5,or(carry,t2))))))]]) ).
cnf(refute_0_19547,plain,
( or(t2,or(not(t5),not(or(carry,t2)))) != or(t2,not(and(t5,or(carry,t2))))
| or(not(t5),or(t2,not(or(carry,t2)))) = or(t2,not(and(t5,or(carry,t2)))) ),
inference(resolve,[$cnf( $equal(or(not(t5),or(t2,not(or(carry,t2)))),or(t2,or(not(t5),not(or(carry,t2))))) )],[refute_0_19545,refute_0_19546]) ).
cnf(refute_0_19548,plain,
or(not(t5),or(t2,not(or(carry,t2)))) = or(t2,not(and(t5,or(carry,t2)))),
inference(resolve,[$cnf( $equal(or(t2,or(not(t5),not(or(carry,t2)))),or(t2,not(and(t5,or(carry,t2))))) )],[refute_0_19544,refute_0_19547]) ).
cnf(refute_0_19549,plain,
( or(not(t5),or(t2,not(or(carry,t2)))) != ll1
| or(not(t5),or(t2,not(or(carry,t2)))) != or(t2,not(and(t5,or(carry,t2))))
| or(t2,not(and(t5,or(carry,t2)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t5),or(t2,not(or(carry,t2)))),ll1) ),[0],$fot(or(t2,not(and(t5,or(carry,t2)))))]]) ).
cnf(refute_0_19550,plain,
( or(not(t5),or(t2,not(or(carry,t2)))) != ll1
| or(t2,not(and(t5,or(carry,t2)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(not(t5),or(t2,not(or(carry,t2)))),or(t2,not(and(t5,or(carry,t2))))) )],[refute_0_19548,refute_0_19549]) ).
cnf(refute_0_19551,plain,
or(t2,not(and(t5,or(carry,t2)))) = ll1,
inference(resolve,[$cnf( $equal(or(not(t5),or(t2,not(or(carry,t2)))),ll1) )],[refute_0_19539,refute_0_19550]) ).
cnf(refute_0_19552,plain,
( and(or(t2,not(and(t5,or(carry,t2)))),not(or(not(and(t5,or(carry,t2))),t2))) != ll0
| or(t2,not(and(t5,or(carry,t2)))) != ll1
| and(ll1,not(or(not(and(t5,or(carry,t2))),t2))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(t2,not(and(t5,or(carry,t2)))),not(or(not(and(t5,or(carry,t2))),t2))),ll0) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_19553,plain,
( and(or(t2,not(and(t5,or(carry,t2)))),not(or(not(and(t5,or(carry,t2))),t2))) != ll0
| and(ll1,not(or(not(and(t5,or(carry,t2))),t2))) = ll0 ),
inference(resolve,[$cnf( $equal(or(t2,not(and(t5,or(carry,t2)))),ll1) )],[refute_0_19551,refute_0_19552]) ).
cnf(refute_0_19554,plain,
and(ll1,not(or(not(and(t5,or(carry,t2))),t2))) = ll0,
inference(resolve,[$cnf( $equal(and(or(t2,not(and(t5,or(carry,t2)))),not(or(not(and(t5,or(carry,t2))),t2))),ll0) )],[refute_0_19535,refute_0_19553]) ).
cnf(refute_0_19555,plain,
and(and(t5,not(t2)),Z) = and(t5,and(not(t2),Z)),
inference(subst,[],[and_associative:[bind(X,$fot(t5)),bind(Y,$fot(not(t2)))]]) ).
cnf(refute_0_19556,plain,
( and(and(t5,not(t2)),Z) != and(t5,and(not(t2),Z))
| and(t5,not(t2)) != not(or(carry,t2))
| and(not(or(carry,t2)),Z) = and(t5,and(not(t2),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t5,not(t2)),Z),and(t5,and(not(t2),Z))) ),[0,0],$fot(not(or(carry,t2)))]]) ).
cnf(refute_0_19557,plain,
( and(and(t5,not(t2)),Z) != and(t5,and(not(t2),Z))
| and(not(or(carry,t2)),Z) = and(t5,and(not(t2),Z)) ),
inference(resolve,[$cnf( $equal(and(t5,not(t2)),not(or(carry,t2))) )],[refute_0_5015,refute_0_19556]) ).
cnf(refute_0_19558,plain,
and(not(or(carry,t2)),Z) = and(t5,and(not(t2),Z)),
inference(resolve,[$cnf( $equal(and(and(t5,not(t2)),Z),and(t5,and(not(t2),Z))) )],[refute_0_19555,refute_0_19557]) ).
cnf(refute_0_19559,plain,
and(and(a,not(carry)),Z) = and(a,and(not(carry),Z)),
inference(subst,[],[and_associative:[bind(X,$fot(a)),bind(Y,$fot(not(carry)))]]) ).
cnf(refute_0_19560,plain,
( and(a,not(carry)) != not(or(carry,t2))
| and(and(a,not(carry)),Z) != and(a,and(not(carry),Z))
| and(not(or(carry,t2)),Z) = and(a,and(not(carry),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(a,not(carry)),Z),and(a,and(not(carry),Z))) ),[0,0],$fot(not(or(carry,t2)))]]) ).
cnf(refute_0_19561,plain,
( and(and(a,not(carry)),Z) != and(a,and(not(carry),Z))
| and(not(or(carry,t2)),Z) = and(a,and(not(carry),Z)) ),
inference(resolve,[$cnf( $equal(and(a,not(carry)),not(or(carry,t2))) )],[refute_0_5011,refute_0_19560]) ).
cnf(refute_0_19562,plain,
and(not(or(carry,t2)),Z) = and(a,and(not(carry),Z)),
inference(resolve,[$cnf( $equal(and(and(a,not(carry)),Z),and(a,and(not(carry),Z))) )],[refute_0_19559,refute_0_19561]) ).
cnf(refute_0_19563,plain,
( and(not(or(carry,t2)),Z) != and(a,and(not(carry),Z))
| and(not(or(carry,t2)),Z) != and(t5,and(not(t2),Z))
| and(a,and(not(carry),Z)) = and(t5,and(not(t2),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(or(carry,t2)),Z),and(t5,and(not(t2),Z))) ),[0],$fot(and(a,and(not(carry),Z)))]]) ).
cnf(refute_0_19564,plain,
( and(not(or(carry,t2)),Z) != and(t5,and(not(t2),Z))
| and(a,and(not(carry),Z)) = and(t5,and(not(t2),Z)) ),
inference(resolve,[$cnf( $equal(and(not(or(carry,t2)),Z),and(a,and(not(carry),Z))) )],[refute_0_19562,refute_0_19563]) ).
cnf(refute_0_19565,plain,
and(a,and(not(carry),Z)) = and(t5,and(not(t2),Z)),
inference(resolve,[$cnf( $equal(and(not(or(carry,t2)),Z),and(t5,and(not(t2),Z))) )],[refute_0_19558,refute_0_19564]) ).
cnf(refute_0_19566,plain,
( and(a,and(not(carry),Z)) != and(t5,and(not(t2),Z))
| and(t5,and(not(t2),Z)) = and(a,and(not(carry),Z)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(a,and(not(carry),Z)))),bind(Y0,$fot(and(t5,and(not(t2),Z))))]]) ).
cnf(refute_0_19567,plain,
and(t5,and(not(t2),Z)) = and(a,and(not(carry),Z)),
inference(resolve,[$cnf( $equal(and(a,and(not(carry),Z)),and(t5,and(not(t2),Z))) )],[refute_0_19565,refute_0_19566]) ).
cnf(refute_0_19568,plain,
and(t5,and(not(t2),or(carry,t2))) = and(a,and(not(carry),or(carry,t2))),
inference(subst,[],[refute_0_19567:[bind(Z,$fot(or(carry,t2)))]]) ).
cnf(refute_0_19569,plain,
and(not(t2),and(t5,or(carry,t2))) = and(t5,and(not(t2),or(carry,t2))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(t2))),bind(X_221,$fot(t5)),bind(X_222,$fot(or(carry,t2)))]]) ).
cnf(refute_0_19570,plain,
( and(not(t2),and(t5,or(carry,t2))) != and(t5,and(not(t2),or(carry,t2)))
| and(t5,and(not(t2),or(carry,t2))) != and(a,and(not(carry),or(carry,t2)))
| and(not(t2),and(t5,or(carry,t2))) = and(a,and(not(carry),or(carry,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t2),and(t5,or(carry,t2))))),bind(Y0,$fot(and(t5,and(not(t2),or(carry,t2))))),bind(Z0,$fot(and(a,and(not(carry),or(carry,t2)))))]]) ).
cnf(refute_0_19571,plain,
( and(t5,and(not(t2),or(carry,t2))) != and(a,and(not(carry),or(carry,t2)))
| and(not(t2),and(t5,or(carry,t2))) = and(a,and(not(carry),or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(not(t2),and(t5,or(carry,t2))),and(t5,and(not(t2),or(carry,t2)))) )],[refute_0_19569,refute_0_19570]) ).
cnf(refute_0_19572,plain,
and(not(t2),and(t5,or(carry,t2))) = and(a,and(not(carry),or(carry,t2))),
inference(resolve,[$cnf( $equal(and(t5,and(not(t2),or(carry,t2))),and(a,and(not(carry),or(carry,t2)))) )],[refute_0_19568,refute_0_19571]) ).
cnf(refute_0_19573,plain,
not(or(t2,not(and(t5,or(carry,t2))))) = and(not(t2),and(t5,or(carry,t2))),
inference(subst,[],[refute_0_801:[bind(X,$fot(and(t5,or(carry,t2)))),bind(X_25,$fot(t2))]]) ).
cnf(refute_0_19574,plain,
( and(not(t2),and(t5,or(carry,t2))) != and(a,and(not(carry),or(carry,t2)))
| not(or(t2,not(and(t5,or(carry,t2))))) != and(not(t2),and(t5,or(carry,t2)))
| not(or(t2,not(and(t5,or(carry,t2))))) = and(a,and(not(carry),or(carry,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(t2,not(and(t5,or(carry,t2))))))),bind(Y0,$fot(and(not(t2),and(t5,or(carry,t2))))),bind(Z0,$fot(and(a,and(not(carry),or(carry,t2)))))]]) ).
cnf(refute_0_19575,plain,
( and(not(t2),and(t5,or(carry,t2))) != and(a,and(not(carry),or(carry,t2)))
| not(or(t2,not(and(t5,or(carry,t2))))) = and(a,and(not(carry),or(carry,t2))) ),
inference(resolve,[$cnf( $equal(not(or(t2,not(and(t5,or(carry,t2))))),and(not(t2),and(t5,or(carry,t2)))) )],[refute_0_19573,refute_0_19574]) ).
cnf(refute_0_19576,plain,
not(or(t2,not(and(t5,or(carry,t2))))) = and(a,and(not(carry),or(carry,t2))),
inference(resolve,[$cnf( $equal(and(not(t2),and(t5,or(carry,t2))),and(a,and(not(carry),or(carry,t2)))) )],[refute_0_19572,refute_0_19575]) ).
cnf(refute_0_19577,plain,
and(ll1,not(or(t2,not(and(t5,or(carry,t2)))))) = not(or(t2,not(and(t5,or(carry,t2))))),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(or(t2,not(and(t5,or(carry,t2)))))))]]) ).
cnf(refute_0_19578,plain,
( and(ll1,not(or(t2,not(and(t5,or(carry,t2)))))) != not(or(t2,not(and(t5,or(carry,t2)))))
| not(or(t2,not(and(t5,or(carry,t2))))) != and(a,and(not(carry),or(carry,t2)))
| and(ll1,not(or(t2,not(and(t5,or(carry,t2)))))) = and(a,and(not(carry),or(carry,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(t2,not(and(t5,or(carry,t2)))))))),bind(Y0,$fot(not(or(t2,not(and(t5,or(carry,t2))))))),bind(Z0,$fot(and(a,and(not(carry),or(carry,t2)))))]]) ).
cnf(refute_0_19579,plain,
( not(or(t2,not(and(t5,or(carry,t2))))) != and(a,and(not(carry),or(carry,t2)))
| and(ll1,not(or(t2,not(and(t5,or(carry,t2)))))) = and(a,and(not(carry),or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t2,not(and(t5,or(carry,t2)))))),not(or(t2,not(and(t5,or(carry,t2)))))) )],[refute_0_19577,refute_0_19578]) ).
cnf(refute_0_19580,plain,
and(ll1,not(or(t2,not(and(t5,or(carry,t2)))))) = and(a,and(not(carry),or(carry,t2))),
inference(resolve,[$cnf( $equal(not(or(t2,not(and(t5,or(carry,t2))))),and(a,and(not(carry),or(carry,t2)))) )],[refute_0_19576,refute_0_19579]) ).
cnf(refute_0_19581,plain,
and(ll1,not(or(not(and(t5,or(carry,t2))),t2))) = and(ll1,not(or(t2,not(and(t5,or(carry,t2)))))),
inference(subst,[],[refute_0_815:[bind(X_25,$fot(t2)),bind(X_26,$fot(not(and(t5,or(carry,t2))))),bind(X_29,$fot(ll1))]]) ).
cnf(refute_0_19582,plain,
( and(ll1,not(or(not(and(t5,or(carry,t2))),t2))) != and(ll1,not(or(t2,not(and(t5,or(carry,t2))))))
| and(ll1,not(or(t2,not(and(t5,or(carry,t2)))))) != and(a,and(not(carry),or(carry,t2)))
| and(ll1,not(or(not(and(t5,or(carry,t2))),t2))) = and(a,and(not(carry),or(carry,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(and(t5,or(carry,t2))),t2))))),bind(Y0,$fot(and(ll1,not(or(t2,not(and(t5,or(carry,t2)))))))),bind(Z0,$fot(and(a,and(not(carry),or(carry,t2)))))]]) ).
cnf(refute_0_19583,plain,
( and(ll1,not(or(t2,not(and(t5,or(carry,t2)))))) != and(a,and(not(carry),or(carry,t2)))
| and(ll1,not(or(not(and(t5,or(carry,t2))),t2))) = and(a,and(not(carry),or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(and(t5,or(carry,t2))),t2))),and(ll1,not(or(t2,not(and(t5,or(carry,t2))))))) )],[refute_0_19581,refute_0_19582]) ).
cnf(refute_0_19584,plain,
and(ll1,not(or(not(and(t5,or(carry,t2))),t2))) = and(a,and(not(carry),or(carry,t2))),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t2,not(and(t5,or(carry,t2)))))),and(a,and(not(carry),or(carry,t2)))) )],[refute_0_19580,refute_0_19583]) ).
cnf(refute_0_19585,plain,
( and(ll1,not(or(not(and(t5,or(carry,t2))),t2))) != and(a,and(not(carry),or(carry,t2)))
| and(ll1,not(or(not(and(t5,or(carry,t2))),t2))) != ll0
| and(a,and(not(carry),or(carry,t2))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(ll1,not(or(not(and(t5,or(carry,t2))),t2))),ll0) ),[0],$fot(and(a,and(not(carry),or(carry,t2))))]]) ).
cnf(refute_0_19586,plain,
( and(ll1,not(or(not(and(t5,or(carry,t2))),t2))) != ll0
| and(a,and(not(carry),or(carry,t2))) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(and(t5,or(carry,t2))),t2))),and(a,and(not(carry),or(carry,t2)))) )],[refute_0_19584,refute_0_19585]) ).
cnf(refute_0_19587,plain,
and(a,and(not(carry),or(carry,t2))) = ll0,
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(and(t5,or(carry,t2))),t2))),ll0) )],[refute_0_19554,refute_0_19586]) ).
cnf(refute_0_19588,plain,
and(not(carry),or(t2,and(carry,t1))) = and(not(carry),or(t2,and(carry,t1))),
introduced(tautology,[refl,[$fot(and(not(carry),or(t2,and(carry,t1))))]]) ).
cnf(refute_0_19589,plain,
( and(not(carry),or(t2,and(carry,t1))) != and(not(carry),or(t2,and(carry,t1)))
| or(t2,and(carry,t1)) != or(carry,t2)
| and(not(carry),or(t2,and(carry,t1))) = and(not(carry),or(carry,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),or(t2,and(carry,t1))),and(not(carry),or(t2,and(carry,t1)))) ),[1,1],$fot(or(carry,t2))]]) ).
cnf(refute_0_19590,plain,
( or(t2,and(carry,t1)) != or(carry,t2)
| and(not(carry),or(t2,and(carry,t1))) = and(not(carry),or(carry,t2)) ),
inference(resolve,[$cnf( $equal(and(not(carry),or(t2,and(carry,t1))),and(not(carry),or(t2,and(carry,t1)))) )],[refute_0_19588,refute_0_19589]) ).
cnf(refute_0_19591,plain,
and(not(carry),or(t2,and(carry,t1))) = and(not(carry),or(carry,t2)),
inference(resolve,[$cnf( $equal(or(t2,and(carry,t1)),or(carry,t2)) )],[refute_0_18618,refute_0_19590]) ).
cnf(refute_0_19592,plain,
( and(not(carry),or(t2,and(carry,t1))) != and(not(carry),or(carry,t2))
| and(not(carry),or(t2,and(carry,t1))) != xor(carry,or(t2,and(carry,t1)))
| and(not(carry),or(carry,t2)) = xor(carry,or(t2,and(carry,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),or(t2,and(carry,t1))),xor(carry,or(t2,and(carry,t1)))) ),[0],$fot(and(not(carry),or(carry,t2)))]]) ).
cnf(refute_0_19593,plain,
( and(not(carry),or(t2,and(carry,t1))) != xor(carry,or(t2,and(carry,t1)))
| and(not(carry),or(carry,t2)) = xor(carry,or(t2,and(carry,t1))) ),
inference(resolve,[$cnf( $equal(and(not(carry),or(t2,and(carry,t1))),and(not(carry),or(carry,t2))) )],[refute_0_19591,refute_0_19592]) ).
cnf(refute_0_19594,plain,
( and(not(carry),or(carry,t2)) != xor(carry,or(t2,and(carry,t1)))
| xor(carry,or(t2,and(carry,t1))) != xor(carry,or(carry,t2))
| and(not(carry),or(carry,t2)) = xor(carry,or(carry,t2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(carry),or(carry,t2)),xor(carry,or(carry,t2))) ),[0],$fot(xor(carry,or(t2,and(carry,t1))))]]) ).
cnf(refute_0_19595,plain,
( and(not(carry),or(carry,t2)) != xor(carry,or(t2,and(carry,t1)))
| and(not(carry),or(carry,t2)) = xor(carry,or(carry,t2)) ),
inference(resolve,[$cnf( $equal(xor(carry,or(t2,and(carry,t1))),xor(carry,or(carry,t2))) )],[refute_0_18622,refute_0_19594]) ).
cnf(refute_0_19596,plain,
( and(not(carry),or(t2,and(carry,t1))) != xor(carry,or(t2,and(carry,t1)))
| and(not(carry),or(carry,t2)) = xor(carry,or(carry,t2)) ),
inference(resolve,[$cnf( $equal(and(not(carry),or(carry,t2)),xor(carry,or(t2,and(carry,t1)))) )],[refute_0_19593,refute_0_19595]) ).
cnf(refute_0_19597,plain,
and(not(carry),or(carry,t2)) = xor(carry,or(carry,t2)),
inference(resolve,[$cnf( $equal(and(not(carry),or(t2,and(carry,t1))),xor(carry,or(t2,and(carry,t1)))) )],[refute_0_18593,refute_0_19596]) ).
cnf(refute_0_19598,plain,
and(a,and(not(carry),or(carry,t2))) = and(a,and(not(carry),or(carry,t2))),
introduced(tautology,[refl,[$fot(and(a,and(not(carry),or(carry,t2))))]]) ).
cnf(refute_0_19599,plain,
( and(a,and(not(carry),or(carry,t2))) != and(a,and(not(carry),or(carry,t2)))
| and(not(carry),or(carry,t2)) != xor(carry,or(carry,t2))
| and(a,and(not(carry),or(carry,t2))) = and(a,xor(carry,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(a,and(not(carry),or(carry,t2))),and(a,and(not(carry),or(carry,t2)))) ),[1,1],$fot(xor(carry,or(carry,t2)))]]) ).
cnf(refute_0_19600,plain,
( and(not(carry),or(carry,t2)) != xor(carry,or(carry,t2))
| and(a,and(not(carry),or(carry,t2))) = and(a,xor(carry,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(a,and(not(carry),or(carry,t2))),and(a,and(not(carry),or(carry,t2)))) )],[refute_0_19598,refute_0_19599]) ).
cnf(refute_0_19601,plain,
and(a,and(not(carry),or(carry,t2))) = and(a,xor(carry,or(carry,t2))),
inference(resolve,[$cnf( $equal(and(not(carry),or(carry,t2)),xor(carry,or(carry,t2))) )],[refute_0_19597,refute_0_19600]) ).
cnf(refute_0_19602,plain,
( and(a,and(not(carry),or(carry,t2))) != and(a,xor(carry,or(carry,t2)))
| and(a,and(not(carry),or(carry,t2))) != ll0
| and(a,xor(carry,or(carry,t2))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(a,and(not(carry),or(carry,t2))),ll0) ),[0],$fot(and(a,xor(carry,or(carry,t2))))]]) ).
cnf(refute_0_19603,plain,
( and(a,and(not(carry),or(carry,t2))) != ll0
| and(a,xor(carry,or(carry,t2))) = ll0 ),
inference(resolve,[$cnf( $equal(and(a,and(not(carry),or(carry,t2))),and(a,xor(carry,or(carry,t2)))) )],[refute_0_19601,refute_0_19602]) ).
cnf(refute_0_19604,plain,
and(a,xor(carry,or(carry,t2))) = ll0,
inference(resolve,[$cnf( $equal(and(a,and(not(carry),or(carry,t2))),ll0) )],[refute_0_19587,refute_0_19603]) ).
cnf(refute_0_19605,plain,
( and(a,xor(carry,or(carry,t2))) != ll0
| and(not(t2),xor(carry,or(carry,t2))) != and(a,xor(carry,or(carry,t2)))
| and(not(t2),xor(carry,or(carry,t2))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),xor(carry,or(carry,t2))),and(a,xor(carry,or(carry,t2)))) ),[1],$fot(ll0)]]) ).
cnf(refute_0_19606,plain,
( and(not(t2),xor(carry,or(carry,t2))) != and(a,xor(carry,or(carry,t2)))
| and(not(t2),xor(carry,or(carry,t2))) = ll0 ),
inference(resolve,[$cnf( $equal(and(a,xor(carry,or(carry,t2))),ll0) )],[refute_0_19604,refute_0_19605]) ).
cnf(refute_0_19607,plain,
and(not(t2),xor(carry,or(carry,t2))) = ll0,
inference(resolve,[$cnf( $equal(and(not(t2),xor(carry,or(carry,t2))),and(a,xor(carry,or(carry,t2)))) )],[refute_0_19534,refute_0_19606]) ).
cnf(refute_0_19608,plain,
( and(not(t2),xor(carry,or(carry,t2))) != ll0
| or(and(t2,not(xor(carry,or(carry,t2)))),and(not(t2),xor(carry,or(carry,t2)))) != xor(t2,xor(carry,or(carry,t2)))
| or(and(t2,not(xor(carry,or(carry,t2)))),ll0) = xor(t2,xor(carry,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t2,not(xor(carry,or(carry,t2)))),and(not(t2),xor(carry,or(carry,t2)))),xor(t2,xor(carry,or(carry,t2)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_19609,plain,
( or(and(t2,not(xor(carry,or(carry,t2)))),and(not(t2),xor(carry,or(carry,t2)))) != xor(t2,xor(carry,or(carry,t2)))
| or(and(t2,not(xor(carry,or(carry,t2)))),ll0) = xor(t2,xor(carry,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(not(t2),xor(carry,or(carry,t2))),ll0) )],[refute_0_19607,refute_0_19608]) ).
cnf(refute_0_19610,plain,
or(and(t2,not(xor(carry,or(carry,t2)))),ll0) = xor(t2,xor(carry,or(carry,t2))),
inference(resolve,[$cnf( $equal(or(and(t2,not(xor(carry,or(carry,t2)))),and(not(t2),xor(carry,or(carry,t2)))),xor(t2,xor(carry,or(carry,t2)))) )],[refute_0_19530,refute_0_19609]) ).
cnf(refute_0_19611,plain,
or(and(t2,not(xor(carry,or(carry,t2)))),ll0) = and(t2,not(xor(carry,or(carry,t2)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t2,not(xor(carry,or(carry,t2))))))]]) ).
cnf(refute_0_19612,plain,
( or(and(t2,not(xor(carry,or(carry,t2)))),ll0) != and(t2,not(xor(carry,or(carry,t2))))
| or(and(t2,not(xor(carry,or(carry,t2)))),ll0) != xor(t2,xor(carry,or(carry,t2)))
| and(t2,not(xor(carry,or(carry,t2)))) = xor(t2,xor(carry,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t2,not(xor(carry,or(carry,t2)))),ll0),xor(t2,xor(carry,or(carry,t2)))) ),[0],$fot(and(t2,not(xor(carry,or(carry,t2)))))]]) ).
cnf(refute_0_19613,plain,
( or(and(t2,not(xor(carry,or(carry,t2)))),ll0) != xor(t2,xor(carry,or(carry,t2)))
| and(t2,not(xor(carry,or(carry,t2)))) = xor(t2,xor(carry,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(or(and(t2,not(xor(carry,or(carry,t2)))),ll0),and(t2,not(xor(carry,or(carry,t2))))) )],[refute_0_19611,refute_0_19612]) ).
cnf(refute_0_19614,plain,
xor(t2,xor(carry,or(carry,t2))) = xor(carry,xor(t2,or(carry,t2))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(carry)),bind(X_334,$fot(t2)),bind(X_335,$fot(or(carry,t2)))]]) ).
cnf(refute_0_19615,plain,
( and(t2,not(xor(carry,or(carry,t2)))) != xor(t2,xor(carry,or(carry,t2)))
| xor(t2,xor(carry,or(carry,t2))) != xor(carry,xor(t2,or(carry,t2)))
| and(t2,not(xor(carry,or(carry,t2)))) = xor(carry,xor(t2,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t2,not(xor(carry,or(carry,t2)))),xor(carry,xor(t2,or(carry,t2)))) ),[0],$fot(xor(t2,xor(carry,or(carry,t2))))]]) ).
cnf(refute_0_19616,plain,
( and(t2,not(xor(carry,or(carry,t2)))) != xor(t2,xor(carry,or(carry,t2)))
| and(t2,not(xor(carry,or(carry,t2)))) = xor(carry,xor(t2,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(carry,or(carry,t2))),xor(carry,xor(t2,or(carry,t2)))) )],[refute_0_19614,refute_0_19615]) ).
cnf(refute_0_19617,plain,
( or(and(t2,not(xor(carry,or(carry,t2)))),ll0) != xor(t2,xor(carry,or(carry,t2)))
| and(t2,not(xor(carry,or(carry,t2)))) = xor(carry,xor(t2,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(t2,not(xor(carry,or(carry,t2)))),xor(t2,xor(carry,or(carry,t2)))) )],[refute_0_19613,refute_0_19616]) ).
cnf(refute_0_19618,plain,
and(t2,not(xor(carry,or(carry,t2)))) = xor(carry,xor(t2,or(carry,t2))),
inference(resolve,[$cnf( $equal(or(and(t2,not(xor(carry,or(carry,t2)))),ll0),xor(t2,xor(carry,or(carry,t2)))) )],[refute_0_19610,refute_0_19617]) ).
cnf(refute_0_19619,plain,
xor(carry,xor(t2,Z)) = xor(xor(carry,t2),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(carry)),bind(Y,$fot(t2))]]) ).
cnf(refute_0_19620,plain,
or(and(t2,not(carry)),and(not(t2),carry)) = xor(t2,carry),
inference(subst,[],[refute_0_9:[bind(X,$fot(t2)),bind(Y,$fot(carry))]]) ).
cnf(refute_0_19621,plain,
and(not(carry),X_296) = and(t1,and(not(carry),X_296)),
inference(subst,[],[refute_0_10470:[bind(X_222,$fot(X_296))]]) ).
cnf(refute_0_19622,plain,
and(X_296,not(carry)) = and(not(carry),X_296),
inference(subst,[],[and_commutative:[bind(X,$fot(X_296)),bind(Y,$fot(not(carry)))]]) ).
cnf(refute_0_19623,plain,
( and(X_296,not(carry)) != and(not(carry),X_296)
| and(not(carry),X_296) = and(X_296,not(carry)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X_296,not(carry)))),bind(Y0,$fot(and(not(carry),X_296)))]]) ).
cnf(refute_0_19624,plain,
and(not(carry),X_296) = and(X_296,not(carry)),
inference(resolve,[$cnf( $equal(and(X_296,not(carry)),and(not(carry),X_296)) )],[refute_0_19622,refute_0_19623]) ).
cnf(refute_0_19625,plain,
( and(not(carry),X_296) != and(X_296,not(carry))
| and(not(carry),X_296) != and(t1,and(not(carry),X_296))
| and(not(carry),X_296) = and(t1,and(X_296,not(carry))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),X_296),and(t1,and(not(carry),X_296))) ),[1,1],$fot(and(X_296,not(carry)))]]) ).
cnf(refute_0_19626,plain,
( and(not(carry),X_296) != and(t1,and(not(carry),X_296))
| and(not(carry),X_296) = and(t1,and(X_296,not(carry))) ),
inference(resolve,[$cnf( $equal(and(not(carry),X_296),and(X_296,not(carry))) )],[refute_0_19624,refute_0_19625]) ).
cnf(refute_0_19627,plain,
and(not(carry),X_296) = and(t1,and(X_296,not(carry))),
inference(resolve,[$cnf( $equal(and(not(carry),X_296),and(t1,and(not(carry),X_296))) )],[refute_0_19621,refute_0_19626]) ).
cnf(refute_0_19628,plain,
and(not(carry),t2) = and(t1,and(t2,not(carry))),
inference(subst,[],[refute_0_19627:[bind(X_296,$fot(t2))]]) ).
cnf(refute_0_19629,plain,
and(not(a),not(carry)) = and(t1,and(t2,not(carry))),
inference(subst,[],[refute_0_600:[bind(Z,$fot(not(carry)))]]) ).
cnf(refute_0_19630,plain,
( and(not(a),not(carry)) != and(t1,and(t2,not(carry)))
| and(t1,and(t2,not(carry))) = and(not(a),not(carry)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(a),not(carry)))),bind(Y0,$fot(and(t1,and(t2,not(carry)))))]]) ).
cnf(refute_0_19631,plain,
and(t1,and(t2,not(carry))) = and(not(a),not(carry)),
inference(resolve,[$cnf( $equal(and(not(a),not(carry)),and(t1,and(t2,not(carry)))) )],[refute_0_19629,refute_0_19630]) ).
cnf(refute_0_19632,plain,
( and(not(carry),t2) != and(t1,and(t2,not(carry)))
| and(t1,and(t2,not(carry))) != and(not(a),not(carry))
| and(not(carry),t2) = and(not(a),not(carry)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(carry),t2),and(not(a),not(carry))) ),[0],$fot(and(t1,and(t2,not(carry))))]]) ).
cnf(refute_0_19633,plain,
( and(not(carry),t2) != and(t1,and(t2,not(carry)))
| and(not(carry),t2) = and(not(a),not(carry)) ),
inference(resolve,[$cnf( $equal(and(t1,and(t2,not(carry))),and(not(a),not(carry))) )],[refute_0_19631,refute_0_19632]) ).
cnf(refute_0_19634,plain,
and(not(carry),t2) = and(not(a),not(carry)),
inference(resolve,[$cnf( $equal(and(not(carry),t2),and(t1,and(t2,not(carry)))) )],[refute_0_19628,refute_0_19633]) ).
cnf(refute_0_19635,plain,
and(not(carry),t2) = and(t2,not(carry)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t2)),bind(Y,$fot(not(carry)))]]) ).
cnf(refute_0_19636,plain,
( and(not(carry),t2) != and(not(a),not(carry))
| and(not(carry),t2) != and(t2,not(carry))
| and(t2,not(carry)) = and(not(a),not(carry)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),t2),and(not(a),not(carry))) ),[0],$fot(and(t2,not(carry)))]]) ).
cnf(refute_0_19637,plain,
( and(not(carry),t2) != and(not(a),not(carry))
| and(t2,not(carry)) = and(not(a),not(carry)) ),
inference(resolve,[$cnf( $equal(and(not(carry),t2),and(t2,not(carry))) )],[refute_0_19635,refute_0_19636]) ).
cnf(refute_0_19638,plain,
and(not(a),not(carry)) = not(or(a,carry)),
inference(subst,[],[refute_0_101:[bind(X,$fot(a)),bind(Y,$fot(carry))]]) ).
cnf(refute_0_19639,plain,
( and(not(a),not(carry)) != not(or(a,carry))
| and(t2,not(carry)) != and(not(a),not(carry))
| and(t2,not(carry)) = not(or(a,carry)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,not(carry)),and(not(a),not(carry))) ),[1],$fot(not(or(a,carry)))]]) ).
cnf(refute_0_19640,plain,
( and(t2,not(carry)) != and(not(a),not(carry))
| and(t2,not(carry)) = not(or(a,carry)) ),
inference(resolve,[$cnf( $equal(and(not(a),not(carry)),not(or(a,carry))) )],[refute_0_19638,refute_0_19639]) ).
cnf(refute_0_19641,plain,
( and(not(carry),t2) != and(not(a),not(carry))
| and(t2,not(carry)) = not(or(a,carry)) ),
inference(resolve,[$cnf( $equal(and(t2,not(carry)),and(not(a),not(carry))) )],[refute_0_19637,refute_0_19640]) ).
cnf(refute_0_19642,plain,
and(t2,not(carry)) = not(or(a,carry)),
inference(resolve,[$cnf( $equal(and(not(carry),t2),and(not(a),not(carry))) )],[refute_0_19634,refute_0_19641]) ).
cnf(refute_0_19643,plain,
( and(t2,not(carry)) != not(or(a,carry))
| or(and(t2,not(carry)),and(not(t2),carry)) != xor(t2,carry)
| or(not(or(a,carry)),and(not(t2),carry)) = xor(t2,carry) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t2,not(carry)),and(not(t2),carry)),xor(t2,carry)) ),[0,0],$fot(not(or(a,carry)))]]) ).
cnf(refute_0_19644,plain,
( or(and(t2,not(carry)),and(not(t2),carry)) != xor(t2,carry)
| or(not(or(a,carry)),and(not(t2),carry)) = xor(t2,carry) ),
inference(resolve,[$cnf( $equal(and(t2,not(carry)),not(or(a,carry))) )],[refute_0_19642,refute_0_19643]) ).
cnf(refute_0_19645,plain,
or(not(or(a,carry)),and(not(t2),carry)) = xor(t2,carry),
inference(resolve,[$cnf( $equal(or(and(t2,not(carry)),and(not(t2),carry)),xor(t2,carry)) )],[refute_0_19620,refute_0_19644]) ).
cnf(refute_0_19646,plain,
not(not(xor(a,t5))) = xor(a,t5),
inference(subst,[],[not_involution:[bind(X,$fot(xor(a,t5)))]]) ).
cnf(refute_0_19647,plain,
not(not(and(or(a,carry),or(b,t5)))) = and(or(a,carry),or(b,t5)),
inference(subst,[],[not_involution:[bind(X,$fot(and(or(a,carry),or(b,t5))))]]) ).
cnf(refute_0_19648,plain,
or(and(t5,not(a)),and(not(t5),a)) = xor(t5,a),
inference(subst,[],[refute_0_9:[bind(X,$fot(t5)),bind(Y,$fot(a))]]) ).
cnf(refute_0_19649,plain,
and(not(a),t5) = and(t1,and(not(a),t5)),
inference(subst,[],[refute_0_2887:[bind(X_222,$fot(t5))]]) ).
cnf(refute_0_19650,plain,
and(not(carry),not(a)) = and(t1,and(not(a),t5)),
inference(subst,[],[refute_0_185:[bind(X_237,$fot(not(a)))]]) ).
cnf(refute_0_19651,plain,
( and(not(carry),not(a)) != and(t1,and(not(a),t5))
| and(t1,and(not(a),t5)) = and(not(carry),not(a)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(carry),not(a)))),bind(Y0,$fot(and(t1,and(not(a),t5))))]]) ).
cnf(refute_0_19652,plain,
and(t1,and(not(a),t5)) = and(not(carry),not(a)),
inference(resolve,[$cnf( $equal(and(not(carry),not(a)),and(t1,and(not(a),t5))) )],[refute_0_19650,refute_0_19651]) ).
cnf(refute_0_19653,plain,
( and(not(a),t5) != and(t1,and(not(a),t5))
| and(t1,and(not(a),t5)) != and(not(carry),not(a))
| and(not(a),t5) = and(not(carry),not(a)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(a),t5),and(not(carry),not(a))) ),[0],$fot(and(t1,and(not(a),t5)))]]) ).
cnf(refute_0_19654,plain,
( and(not(a),t5) != and(t1,and(not(a),t5))
| and(not(a),t5) = and(not(carry),not(a)) ),
inference(resolve,[$cnf( $equal(and(t1,and(not(a),t5)),and(not(carry),not(a))) )],[refute_0_19652,refute_0_19653]) ).
cnf(refute_0_19655,plain,
and(not(a),t5) = and(not(carry),not(a)),
inference(resolve,[$cnf( $equal(and(not(a),t5),and(t1,and(not(a),t5))) )],[refute_0_19649,refute_0_19654]) ).
cnf(refute_0_19656,plain,
and(not(a),t5) = and(t5,not(a)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t5)),bind(Y,$fot(not(a)))]]) ).
cnf(refute_0_19657,plain,
( and(not(a),t5) != and(not(carry),not(a))
| and(not(a),t5) != and(t5,not(a))
| and(t5,not(a)) = and(not(carry),not(a)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(a),t5),and(not(carry),not(a))) ),[0],$fot(and(t5,not(a)))]]) ).
cnf(refute_0_19658,plain,
( and(not(a),t5) != and(not(carry),not(a))
| and(t5,not(a)) = and(not(carry),not(a)) ),
inference(resolve,[$cnf( $equal(and(not(a),t5),and(t5,not(a))) )],[refute_0_19656,refute_0_19657]) ).
cnf(refute_0_19659,plain,
not(or(carry,a)) = not(or(a,carry)),
inference(subst,[],[refute_0_2696:[bind(X,$fot(carry))]]) ).
cnf(refute_0_19660,plain,
and(not(carry),not(a)) = not(or(carry,a)),
inference(subst,[],[refute_0_101:[bind(X,$fot(carry)),bind(Y,$fot(a))]]) ).
cnf(refute_0_19661,plain,
( and(not(carry),not(a)) != not(or(carry,a))
| not(or(carry,a)) != not(or(a,carry))
| and(not(carry),not(a)) = not(or(a,carry)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(carry),not(a)))),bind(Y0,$fot(not(or(carry,a)))),bind(Z0,$fot(not(or(a,carry))))]]) ).
cnf(refute_0_19662,plain,
( not(or(carry,a)) != not(or(a,carry))
| and(not(carry),not(a)) = not(or(a,carry)) ),
inference(resolve,[$cnf( $equal(and(not(carry),not(a)),not(or(carry,a))) )],[refute_0_19660,refute_0_19661]) ).
cnf(refute_0_19663,plain,
and(not(carry),not(a)) = not(or(a,carry)),
inference(resolve,[$cnf( $equal(not(or(carry,a)),not(or(a,carry))) )],[refute_0_19659,refute_0_19662]) ).
cnf(refute_0_19664,plain,
( and(not(carry),not(a)) != not(or(a,carry))
| and(t5,not(a)) != and(not(carry),not(a))
| and(t5,not(a)) = not(or(a,carry)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,not(a)),and(not(carry),not(a))) ),[1],$fot(not(or(a,carry)))]]) ).
cnf(refute_0_19665,plain,
( and(t5,not(a)) != and(not(carry),not(a))
| and(t5,not(a)) = not(or(a,carry)) ),
inference(resolve,[$cnf( $equal(and(not(carry),not(a)),not(or(a,carry))) )],[refute_0_19663,refute_0_19664]) ).
cnf(refute_0_19666,plain,
( and(not(a),t5) != and(not(carry),not(a))
| and(t5,not(a)) = not(or(a,carry)) ),
inference(resolve,[$cnf( $equal(and(t5,not(a)),and(not(carry),not(a))) )],[refute_0_19658,refute_0_19665]) ).
cnf(refute_0_19667,plain,
and(t5,not(a)) = not(or(a,carry)),
inference(resolve,[$cnf( $equal(and(not(a),t5),and(not(carry),not(a))) )],[refute_0_19655,refute_0_19666]) ).
cnf(refute_0_19668,plain,
( and(t5,not(a)) != not(or(a,carry))
| or(and(t5,not(a)),and(not(t5),a)) != xor(t5,a)
| or(not(or(a,carry)),and(not(t5),a)) = xor(t5,a) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t5,not(a)),and(not(t5),a)),xor(t5,a)) ),[0,0],$fot(not(or(a,carry)))]]) ).
cnf(refute_0_19669,plain,
( or(and(t5,not(a)),and(not(t5),a)) != xor(t5,a)
| or(not(or(a,carry)),and(not(t5),a)) = xor(t5,a) ),
inference(resolve,[$cnf( $equal(and(t5,not(a)),not(or(a,carry))) )],[refute_0_19667,refute_0_19668]) ).
cnf(refute_0_19670,plain,
or(not(or(a,carry)),and(not(t5),a)) = xor(t5,a),
inference(resolve,[$cnf( $equal(or(and(t5,not(a)),and(not(t5),a)),xor(t5,a)) )],[refute_0_19648,refute_0_19669]) ).
cnf(refute_0_19671,plain,
( or(t2,t5) != or(b,t5)
| or(t5,not(a)) != or(t2,t5)
| or(t5,not(a)) = or(b,t5) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,not(a)),or(t2,t5)) ),[1],$fot(or(b,t5))]]) ).
cnf(refute_0_19672,plain,
( or(t5,not(a)) != or(t2,t5)
| or(t5,not(a)) = or(b,t5) ),
inference(resolve,[$cnf( $equal(or(t2,t5),or(b,t5)) )],[refute_0_14337,refute_0_19671]) ).
cnf(refute_0_19673,plain,
or(t5,not(a)) = or(b,t5),
inference(resolve,[$cnf( $equal(or(t5,not(a)),or(t2,t5)) )],[refute_0_14327,refute_0_19672]) ).
cnf(refute_0_19674,plain,
and(or(a,carry),or(t5,not(a))) = and(or(a,carry),or(t5,not(a))),
introduced(tautology,[refl,[$fot(and(or(a,carry),or(t5,not(a))))]]) ).
cnf(refute_0_19675,plain,
( and(or(a,carry),or(t5,not(a))) != and(or(a,carry),or(t5,not(a)))
| or(t5,not(a)) != or(b,t5)
| and(or(a,carry),or(t5,not(a))) = and(or(a,carry),or(b,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(a,carry),or(t5,not(a))),and(or(a,carry),or(t5,not(a)))) ),[1,1],$fot(or(b,t5))]]) ).
cnf(refute_0_19676,plain,
( or(t5,not(a)) != or(b,t5)
| and(or(a,carry),or(t5,not(a))) = and(or(a,carry),or(b,t5)) ),
inference(resolve,[$cnf( $equal(and(or(a,carry),or(t5,not(a))),and(or(a,carry),or(t5,not(a)))) )],[refute_0_19674,refute_0_19675]) ).
cnf(refute_0_19677,plain,
and(or(a,carry),or(t5,not(a))) = and(or(a,carry),or(b,t5)),
inference(resolve,[$cnf( $equal(or(t5,not(a)),or(b,t5)) )],[refute_0_19673,refute_0_19676]) ).
cnf(refute_0_19678,plain,
not(and(or(a,carry),or(t5,not(a)))) = not(and(or(a,carry),or(t5,not(a)))),
introduced(tautology,[refl,[$fot(not(and(or(a,carry),or(t5,not(a)))))]]) ).
cnf(refute_0_19679,plain,
( and(or(a,carry),or(t5,not(a))) != and(or(a,carry),or(b,t5))
| not(and(or(a,carry),or(t5,not(a)))) != not(and(or(a,carry),or(t5,not(a))))
| not(and(or(a,carry),or(t5,not(a)))) = not(and(or(a,carry),or(b,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(a,carry),or(t5,not(a)))),not(and(or(a,carry),or(t5,not(a))))) ),[1,0],$fot(and(or(a,carry),or(b,t5)))]]) ).
cnf(refute_0_19680,plain,
( and(or(a,carry),or(t5,not(a))) != and(or(a,carry),or(b,t5))
| not(and(or(a,carry),or(t5,not(a)))) = not(and(or(a,carry),or(b,t5))) ),
inference(resolve,[$cnf( $equal(not(and(or(a,carry),or(t5,not(a)))),not(and(or(a,carry),or(t5,not(a))))) )],[refute_0_19678,refute_0_19679]) ).
cnf(refute_0_19681,plain,
not(and(or(a,carry),or(t5,not(a)))) = not(and(or(a,carry),or(b,t5))),
inference(resolve,[$cnf( $equal(and(or(a,carry),or(t5,not(a))),and(or(a,carry),or(b,t5))) )],[refute_0_19677,refute_0_19680]) ).
cnf(refute_0_19682,plain,
or(not(or(a,carry)),and(not(t5),a)) = not(and(or(a,carry),or(t5,not(a)))),
inference(subst,[],[refute_0_1337:[bind(X,$fot(or(a,carry))),bind(X_78,$fot(a)),bind(X_79,$fot(t5))]]) ).
cnf(refute_0_19683,plain,
( not(and(or(a,carry),or(t5,not(a)))) != not(and(or(a,carry),or(b,t5)))
| or(not(or(a,carry)),and(not(t5),a)) != not(and(or(a,carry),or(t5,not(a))))
| or(not(or(a,carry)),and(not(t5),a)) = not(and(or(a,carry),or(b,t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(or(a,carry)),and(not(t5),a)))),bind(Y0,$fot(not(and(or(a,carry),or(t5,not(a)))))),bind(Z0,$fot(not(and(or(a,carry),or(b,t5)))))]]) ).
cnf(refute_0_19684,plain,
( not(and(or(a,carry),or(t5,not(a)))) != not(and(or(a,carry),or(b,t5)))
| or(not(or(a,carry)),and(not(t5),a)) = not(and(or(a,carry),or(b,t5))) ),
inference(resolve,[$cnf( $equal(or(not(or(a,carry)),and(not(t5),a)),not(and(or(a,carry),or(t5,not(a))))) )],[refute_0_19682,refute_0_19683]) ).
cnf(refute_0_19685,plain,
or(not(or(a,carry)),and(not(t5),a)) = not(and(or(a,carry),or(b,t5))),
inference(resolve,[$cnf( $equal(not(and(or(a,carry),or(t5,not(a)))),not(and(or(a,carry),or(b,t5)))) )],[refute_0_19681,refute_0_19684]) ).
cnf(refute_0_19686,plain,
( or(not(or(a,carry)),and(not(t5),a)) != not(and(or(a,carry),or(b,t5)))
| or(not(or(a,carry)),and(not(t5),a)) != xor(t5,a)
| not(and(or(a,carry),or(b,t5))) = xor(t5,a) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(or(a,carry)),and(not(t5),a)),xor(t5,a)) ),[0],$fot(not(and(or(a,carry),or(b,t5))))]]) ).
cnf(refute_0_19687,plain,
( or(not(or(a,carry)),and(not(t5),a)) != xor(t5,a)
| not(and(or(a,carry),or(b,t5))) = xor(t5,a) ),
inference(resolve,[$cnf( $equal(or(not(or(a,carry)),and(not(t5),a)),not(and(or(a,carry),or(b,t5)))) )],[refute_0_19685,refute_0_19686]) ).
cnf(refute_0_19688,plain,
xor(t5,a) = xor(a,t5),
inference(subst,[],[refute_0_1913:[bind(X,$fot(a)),bind(Y,$fot(t5))]]) ).
cnf(refute_0_19689,plain,
( not(and(or(a,carry),or(b,t5))) != xor(t5,a)
| xor(t5,a) != xor(a,t5)
| not(and(or(a,carry),or(b,t5))) = xor(a,t5) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(or(a,carry),or(b,t5))),xor(a,t5)) ),[0],$fot(xor(t5,a))]]) ).
cnf(refute_0_19690,plain,
( not(and(or(a,carry),or(b,t5))) != xor(t5,a)
| not(and(or(a,carry),or(b,t5))) = xor(a,t5) ),
inference(resolve,[$cnf( $equal(xor(t5,a),xor(a,t5)) )],[refute_0_19688,refute_0_19689]) ).
cnf(refute_0_19691,plain,
( or(not(or(a,carry)),and(not(t5),a)) != xor(t5,a)
| not(and(or(a,carry),or(b,t5))) = xor(a,t5) ),
inference(resolve,[$cnf( $equal(not(and(or(a,carry),or(b,t5))),xor(t5,a)) )],[refute_0_19687,refute_0_19690]) ).
cnf(refute_0_19692,plain,
not(and(or(a,carry),or(b,t5))) = xor(a,t5),
inference(resolve,[$cnf( $equal(or(not(or(a,carry)),and(not(t5),a)),xor(t5,a)) )],[refute_0_19670,refute_0_19691]) ).
cnf(refute_0_19693,plain,
( not(and(or(a,carry),or(b,t5))) != xor(a,t5)
| not(not(and(or(a,carry),or(b,t5)))) != and(or(a,carry),or(b,t5))
| not(xor(a,t5)) = and(or(a,carry),or(b,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(or(a,carry),or(b,t5)))),and(or(a,carry),or(b,t5))) ),[0,0],$fot(xor(a,t5))]]) ).
cnf(refute_0_19694,plain,
( not(not(and(or(a,carry),or(b,t5)))) != and(or(a,carry),or(b,t5))
| not(xor(a,t5)) = and(or(a,carry),or(b,t5)) ),
inference(resolve,[$cnf( $equal(not(and(or(a,carry),or(b,t5))),xor(a,t5)) )],[refute_0_19692,refute_0_19693]) ).
cnf(refute_0_19695,plain,
not(xor(a,t5)) = and(or(a,carry),or(b,t5)),
inference(resolve,[$cnf( $equal(not(not(and(or(a,carry),or(b,t5)))),and(or(a,carry),or(b,t5))) )],[refute_0_19647,refute_0_19694]) ).
cnf(refute_0_19696,plain,
( not(xor(a,t5)) != and(or(a,carry),or(b,t5))
| and(or(a,carry),or(b,t5)) = not(xor(a,t5)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(xor(a,t5)))),bind(Y0,$fot(and(or(a,carry),or(b,t5))))]]) ).
cnf(refute_0_19697,plain,
and(or(a,carry),or(b,t5)) = not(xor(a,t5)),
inference(resolve,[$cnf( $equal(not(xor(a,t5)),and(or(a,carry),or(b,t5))) )],[refute_0_19695,refute_0_19696]) ).
cnf(refute_0_19698,plain,
not(and(not(t2),carry)) = not(and(carry,not(t2))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(carry)),bind(X_32,$fot(not(t2)))]]) ).
cnf(refute_0_19699,plain,
and(not(t5),not(t2)) = and(carry,and(t1,not(t2))),
inference(subst,[],[refute_0_11700:[bind(Z,$fot(not(t2)))]]) ).
cnf(refute_0_19700,plain,
( and(not(t5),not(t2)) != and(carry,and(t1,not(t2)))
| and(t1,not(t2)) != not(t2)
| and(not(t5),not(t2)) = and(carry,not(t2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),not(t2)),and(carry,and(t1,not(t2)))) ),[1,1],$fot(not(t2))]]) ).
cnf(refute_0_19701,plain,
( and(not(t5),not(t2)) != and(carry,and(t1,not(t2)))
| and(not(t5),not(t2)) = and(carry,not(t2)) ),
inference(resolve,[$cnf( $equal(and(t1,not(t2)),not(t2)) )],[refute_0_488,refute_0_19700]) ).
cnf(refute_0_19702,plain,
and(not(t5),not(t2)) = and(carry,not(t2)),
inference(resolve,[$cnf( $equal(and(not(t5),not(t2)),and(carry,and(t1,not(t2)))) )],[refute_0_19699,refute_0_19701]) ).
cnf(refute_0_19703,plain,
( and(not(t5),not(t2)) != and(carry,not(t2))
| and(not(t5),not(t2)) != not(or(t2,t5))
| not(or(t2,t5)) = and(carry,not(t2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),not(t2)),and(carry,not(t2))) ),[0],$fot(not(or(t2,t5)))]]) ).
cnf(refute_0_19704,plain,
( and(not(t5),not(t2)) != and(carry,not(t2))
| not(or(t2,t5)) = and(carry,not(t2)) ),
inference(resolve,[$cnf( $equal(and(not(t5),not(t2)),not(or(t2,t5))) )],[refute_0_9025,refute_0_19703]) ).
cnf(refute_0_19705,plain,
not(or(t2,t5)) = and(carry,not(t2)),
inference(resolve,[$cnf( $equal(and(not(t5),not(t2)),and(carry,not(t2))) )],[refute_0_19702,refute_0_19704]) ).
cnf(refute_0_19706,plain,
( not(or(t2,t5)) != and(carry,not(t2))
| not(or(t2,t5)) != not(or(b,t5))
| not(or(b,t5)) = and(carry,not(t2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t2,t5)),and(carry,not(t2))) ),[0],$fot(not(or(b,t5)))]]) ).
cnf(refute_0_19707,plain,
( not(or(t2,t5)) != and(carry,not(t2))
| not(or(b,t5)) = and(carry,not(t2)) ),
inference(resolve,[$cnf( $equal(not(or(t2,t5)),not(or(b,t5))) )],[refute_0_14307,refute_0_19706]) ).
cnf(refute_0_19708,plain,
not(or(b,t5)) = and(carry,not(t2)),
inference(resolve,[$cnf( $equal(not(or(t2,t5)),and(carry,not(t2))) )],[refute_0_19705,refute_0_19707]) ).
cnf(refute_0_19709,plain,
( not(or(b,t5)) != and(carry,not(t2))
| and(carry,not(t2)) = not(or(b,t5)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(b,t5)))),bind(Y0,$fot(and(carry,not(t2))))]]) ).
cnf(refute_0_19710,plain,
and(carry,not(t2)) = not(or(b,t5)),
inference(resolve,[$cnf( $equal(not(or(b,t5)),and(carry,not(t2))) )],[refute_0_19708,refute_0_19709]) ).
cnf(refute_0_19711,plain,
( and(carry,not(t2)) != not(or(b,t5))
| not(and(not(t2),carry)) != not(and(carry,not(t2)))
| not(and(not(t2),carry)) = not(not(or(b,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t2),carry)),not(and(carry,not(t2)))) ),[1,0],$fot(not(or(b,t5)))]]) ).
cnf(refute_0_19712,plain,
( not(and(not(t2),carry)) != not(and(carry,not(t2)))
| not(and(not(t2),carry)) = not(not(or(b,t5))) ),
inference(resolve,[$cnf( $equal(and(carry,not(t2)),not(or(b,t5))) )],[refute_0_19710,refute_0_19711]) ).
cnf(refute_0_19713,plain,
not(and(not(t2),carry)) = not(not(or(b,t5))),
inference(resolve,[$cnf( $equal(not(and(not(t2),carry)),not(and(carry,not(t2)))) )],[refute_0_19698,refute_0_19712]) ).
cnf(refute_0_19714,plain,
not(and(not(t2),carry)) = or(t2,not(carry)),
inference(subst,[],[refute_0_787:[bind(X,$fot(t2)),bind(X_32,$fot(carry))]]) ).
cnf(refute_0_19715,plain,
( not(and(not(t2),carry)) != not(not(or(b,t5)))
| not(and(not(t2),carry)) != or(t2,not(carry))
| or(t2,not(carry)) = not(not(or(b,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t2),carry)),not(not(or(b,t5)))) ),[0],$fot(or(t2,not(carry)))]]) ).
cnf(refute_0_19716,plain,
( not(and(not(t2),carry)) != not(not(or(b,t5)))
| or(t2,not(carry)) = not(not(or(b,t5))) ),
inference(resolve,[$cnf( $equal(not(and(not(t2),carry)),or(t2,not(carry))) )],[refute_0_19714,refute_0_19715]) ).
cnf(refute_0_19717,plain,
( not(not(or(b,t5))) != or(b,t5)
| or(t2,not(carry)) != not(not(or(b,t5)))
| or(t2,not(carry)) = or(b,t5) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,not(carry)),not(not(or(b,t5)))) ),[1],$fot(or(b,t5))]]) ).
cnf(refute_0_19718,plain,
( or(t2,not(carry)) != not(not(or(b,t5)))
| or(t2,not(carry)) = or(b,t5) ),
inference(resolve,[$cnf( $equal(not(not(or(b,t5))),or(b,t5)) )],[refute_0_14333,refute_0_19717]) ).
cnf(refute_0_19719,plain,
( not(and(not(t2),carry)) != not(not(or(b,t5)))
| or(t2,not(carry)) = or(b,t5) ),
inference(resolve,[$cnf( $equal(or(t2,not(carry)),not(not(or(b,t5)))) )],[refute_0_19716,refute_0_19718]) ).
cnf(refute_0_19720,plain,
or(t2,not(carry)) = or(b,t5),
inference(resolve,[$cnf( $equal(not(and(not(t2),carry)),not(not(or(b,t5)))) )],[refute_0_19713,refute_0_19719]) ).
cnf(refute_0_19721,plain,
and(or(a,carry),or(t2,not(carry))) = and(or(a,carry),or(t2,not(carry))),
introduced(tautology,[refl,[$fot(and(or(a,carry),or(t2,not(carry))))]]) ).
cnf(refute_0_19722,plain,
( and(or(a,carry),or(t2,not(carry))) != and(or(a,carry),or(t2,not(carry)))
| or(t2,not(carry)) != or(b,t5)
| and(or(a,carry),or(t2,not(carry))) = and(or(a,carry),or(b,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(a,carry),or(t2,not(carry))),and(or(a,carry),or(t2,not(carry)))) ),[1,1],$fot(or(b,t5))]]) ).
cnf(refute_0_19723,plain,
( or(t2,not(carry)) != or(b,t5)
| and(or(a,carry),or(t2,not(carry))) = and(or(a,carry),or(b,t5)) ),
inference(resolve,[$cnf( $equal(and(or(a,carry),or(t2,not(carry))),and(or(a,carry),or(t2,not(carry)))) )],[refute_0_19721,refute_0_19722]) ).
cnf(refute_0_19724,plain,
and(or(a,carry),or(t2,not(carry))) = and(or(a,carry),or(b,t5)),
inference(resolve,[$cnf( $equal(or(t2,not(carry)),or(b,t5)) )],[refute_0_19720,refute_0_19723]) ).
cnf(refute_0_19725,plain,
( and(or(a,carry),or(b,t5)) != not(xor(a,t5))
| and(or(a,carry),or(t2,not(carry))) != and(or(a,carry),or(b,t5))
| and(or(a,carry),or(t2,not(carry))) = not(xor(a,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(or(a,carry),or(t2,not(carry))))),bind(Y0,$fot(and(or(a,carry),or(b,t5)))),bind(Z0,$fot(not(xor(a,t5))))]]) ).
cnf(refute_0_19726,plain,
( and(or(a,carry),or(b,t5)) != not(xor(a,t5))
| and(or(a,carry),or(t2,not(carry))) = not(xor(a,t5)) ),
inference(resolve,[$cnf( $equal(and(or(a,carry),or(t2,not(carry))),and(or(a,carry),or(b,t5))) )],[refute_0_19724,refute_0_19725]) ).
cnf(refute_0_19727,plain,
and(or(a,carry),or(t2,not(carry))) = not(xor(a,t5)),
inference(resolve,[$cnf( $equal(and(or(a,carry),or(b,t5)),not(xor(a,t5))) )],[refute_0_19697,refute_0_19726]) ).
cnf(refute_0_19728,plain,
not(and(or(a,carry),or(t2,not(carry)))) = not(and(or(a,carry),or(t2,not(carry)))),
introduced(tautology,[refl,[$fot(not(and(or(a,carry),or(t2,not(carry)))))]]) ).
cnf(refute_0_19729,plain,
( and(or(a,carry),or(t2,not(carry))) != not(xor(a,t5))
| not(and(or(a,carry),or(t2,not(carry)))) != not(and(or(a,carry),or(t2,not(carry))))
| not(and(or(a,carry),or(t2,not(carry)))) = not(not(xor(a,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(a,carry),or(t2,not(carry)))),not(and(or(a,carry),or(t2,not(carry))))) ),[1,0],$fot(not(xor(a,t5)))]]) ).
cnf(refute_0_19730,plain,
( and(or(a,carry),or(t2,not(carry))) != not(xor(a,t5))
| not(and(or(a,carry),or(t2,not(carry)))) = not(not(xor(a,t5))) ),
inference(resolve,[$cnf( $equal(not(and(or(a,carry),or(t2,not(carry)))),not(and(or(a,carry),or(t2,not(carry))))) )],[refute_0_19728,refute_0_19729]) ).
cnf(refute_0_19731,plain,
not(and(or(a,carry),or(t2,not(carry)))) = not(not(xor(a,t5))),
inference(resolve,[$cnf( $equal(and(or(a,carry),or(t2,not(carry))),not(xor(a,t5))) )],[refute_0_19727,refute_0_19730]) ).
cnf(refute_0_19732,plain,
( not(and(or(a,carry),or(t2,not(carry)))) != not(not(xor(a,t5)))
| not(not(xor(a,t5))) != xor(a,t5)
| not(and(or(a,carry),or(t2,not(carry)))) = xor(a,t5) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(or(a,carry),or(t2,not(carry)))))),bind(Y0,$fot(not(not(xor(a,t5))))),bind(Z0,$fot(xor(a,t5)))]]) ).
cnf(refute_0_19733,plain,
( not(not(xor(a,t5))) != xor(a,t5)
| not(and(or(a,carry),or(t2,not(carry)))) = xor(a,t5) ),
inference(resolve,[$cnf( $equal(not(and(or(a,carry),or(t2,not(carry)))),not(not(xor(a,t5)))) )],[refute_0_19731,refute_0_19732]) ).
cnf(refute_0_19734,plain,
not(and(or(a,carry),or(t2,not(carry)))) = xor(a,t5),
inference(resolve,[$cnf( $equal(not(not(xor(a,t5))),xor(a,t5)) )],[refute_0_19646,refute_0_19733]) ).
cnf(refute_0_19735,plain,
or(not(or(a,carry)),and(not(t2),carry)) = not(and(or(a,carry),or(t2,not(carry)))),
inference(subst,[],[refute_0_1337:[bind(X,$fot(or(a,carry))),bind(X_78,$fot(carry)),bind(X_79,$fot(t2))]]) ).
cnf(refute_0_19736,plain,
( not(and(or(a,carry),or(t2,not(carry)))) != xor(a,t5)
| or(not(or(a,carry)),and(not(t2),carry)) != not(and(or(a,carry),or(t2,not(carry))))
| or(not(or(a,carry)),and(not(t2),carry)) = xor(a,t5) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(or(a,carry)),and(not(t2),carry)))),bind(Y0,$fot(not(and(or(a,carry),or(t2,not(carry)))))),bind(Z0,$fot(xor(a,t5)))]]) ).
cnf(refute_0_19737,plain,
( not(and(or(a,carry),or(t2,not(carry)))) != xor(a,t5)
| or(not(or(a,carry)),and(not(t2),carry)) = xor(a,t5) ),
inference(resolve,[$cnf( $equal(or(not(or(a,carry)),and(not(t2),carry)),not(and(or(a,carry),or(t2,not(carry))))) )],[refute_0_19735,refute_0_19736]) ).
cnf(refute_0_19738,plain,
or(not(or(a,carry)),and(not(t2),carry)) = xor(a,t5),
inference(resolve,[$cnf( $equal(not(and(or(a,carry),or(t2,not(carry)))),xor(a,t5)) )],[refute_0_19734,refute_0_19737]) ).
cnf(refute_0_19739,plain,
( or(not(or(a,carry)),and(not(t2),carry)) != xor(a,t5)
| or(not(or(a,carry)),and(not(t2),carry)) != xor(t2,carry)
| xor(a,t5) = xor(t2,carry) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(or(a,carry)),and(not(t2),carry)),xor(t2,carry)) ),[0],$fot(xor(a,t5))]]) ).
cnf(refute_0_19740,plain,
( or(not(or(a,carry)),and(not(t2),carry)) != xor(t2,carry)
| xor(a,t5) = xor(t2,carry) ),
inference(resolve,[$cnf( $equal(or(not(or(a,carry)),and(not(t2),carry)),xor(a,t5)) )],[refute_0_19738,refute_0_19739]) ).
cnf(refute_0_19741,plain,
( xor(X,t2) != xor(t2,X)
| xor(t2,X) = xor(X,t2) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(X,t2))),bind(Y0,$fot(xor(t2,X)))]]) ).
cnf(refute_0_19742,plain,
xor(t2,X) = xor(X,t2),
inference(resolve,[$cnf( $equal(xor(X,t2),xor(t2,X)) )],[refute_0_4861,refute_0_19741]) ).
cnf(refute_0_19743,plain,
xor(t2,carry) = xor(carry,t2),
inference(subst,[],[refute_0_19742:[bind(X,$fot(carry))]]) ).
cnf(refute_0_19744,plain,
( xor(a,t5) != xor(t2,carry)
| xor(t2,carry) != xor(carry,t2)
| xor(a,t5) = xor(carry,t2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(a,t5),xor(carry,t2)) ),[0],$fot(xor(t2,carry))]]) ).
cnf(refute_0_19745,plain,
( xor(a,t5) != xor(t2,carry)
| xor(a,t5) = xor(carry,t2) ),
inference(resolve,[$cnf( $equal(xor(t2,carry),xor(carry,t2)) )],[refute_0_19743,refute_0_19744]) ).
cnf(refute_0_19746,plain,
( or(not(or(a,carry)),and(not(t2),carry)) != xor(t2,carry)
| xor(a,t5) = xor(carry,t2) ),
inference(resolve,[$cnf( $equal(xor(a,t5),xor(t2,carry)) )],[refute_0_19740,refute_0_19745]) ).
cnf(refute_0_19747,plain,
xor(a,t5) = xor(carry,t2),
inference(resolve,[$cnf( $equal(or(not(or(a,carry)),and(not(t2),carry)),xor(t2,carry)) )],[refute_0_19645,refute_0_19746]) ).
cnf(refute_0_19748,plain,
( xor(a,t5) != xor(carry,t2)
| xor(carry,t2) = xor(a,t5) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(a,t5))),bind(Y0,$fot(xor(carry,t2)))]]) ).
cnf(refute_0_19749,plain,
xor(carry,t2) = xor(a,t5),
inference(resolve,[$cnf( $equal(xor(a,t5),xor(carry,t2)) )],[refute_0_19747,refute_0_19748]) ).
cnf(refute_0_19750,plain,
( xor(carry,t2) != xor(a,t5)
| xor(carry,xor(t2,Z)) != xor(xor(carry,t2),Z)
| xor(carry,xor(t2,Z)) = xor(xor(a,t5),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(t2,Z)),xor(xor(carry,t2),Z)) ),[1,0],$fot(xor(a,t5))]]) ).
cnf(refute_0_19751,plain,
( xor(carry,xor(t2,Z)) != xor(xor(carry,t2),Z)
| xor(carry,xor(t2,Z)) = xor(xor(a,t5),Z) ),
inference(resolve,[$cnf( $equal(xor(carry,t2),xor(a,t5)) )],[refute_0_19749,refute_0_19750]) ).
cnf(refute_0_19752,plain,
xor(carry,xor(t2,Z)) = xor(xor(a,t5),Z),
inference(resolve,[$cnf( $equal(xor(carry,xor(t2,Z)),xor(xor(carry,t2),Z)) )],[refute_0_19619,refute_0_19751]) ).
cnf(refute_0_19753,plain,
xor(xor(a,t5),Z) = xor(a,xor(t5,Z)),
inference(subst,[],[refute_0_526:[bind(X,$fot(a)),bind(Y,$fot(t5))]]) ).
cnf(refute_0_19754,plain,
( xor(carry,xor(t2,Z)) != xor(xor(a,t5),Z)
| xor(xor(a,t5),Z) != xor(a,xor(t5,Z))
| xor(carry,xor(t2,Z)) = xor(a,xor(t5,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(carry,xor(t2,Z)),xor(a,xor(t5,Z))) ),[0],$fot(xor(xor(a,t5),Z))]]) ).
cnf(refute_0_19755,plain,
( xor(carry,xor(t2,Z)) != xor(xor(a,t5),Z)
| xor(carry,xor(t2,Z)) = xor(a,xor(t5,Z)) ),
inference(resolve,[$cnf( $equal(xor(xor(a,t5),Z),xor(a,xor(t5,Z))) )],[refute_0_19753,refute_0_19754]) ).
cnf(refute_0_19756,plain,
xor(carry,xor(t2,Z)) = xor(a,xor(t5,Z)),
inference(resolve,[$cnf( $equal(xor(carry,xor(t2,Z)),xor(xor(a,t5),Z)) )],[refute_0_19752,refute_0_19755]) ).
cnf(refute_0_19757,plain,
xor(carry,xor(t2,or(carry,t2))) = xor(a,xor(t5,or(carry,t2))),
inference(subst,[],[refute_0_19756:[bind(Z,$fot(or(carry,t2)))]]) ).
cnf(refute_0_19758,plain,
( and(t2,not(xor(carry,or(carry,t2)))) != xor(carry,xor(t2,or(carry,t2)))
| xor(carry,xor(t2,or(carry,t2))) != xor(a,xor(t5,or(carry,t2)))
| and(t2,not(xor(carry,or(carry,t2)))) = xor(a,xor(t5,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t2,not(xor(carry,or(carry,t2)))),xor(a,xor(t5,or(carry,t2)))) ),[0],$fot(xor(carry,xor(t2,or(carry,t2))))]]) ).
cnf(refute_0_19759,plain,
( and(t2,not(xor(carry,or(carry,t2)))) != xor(carry,xor(t2,or(carry,t2)))
| and(t2,not(xor(carry,or(carry,t2)))) = xor(a,xor(t5,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(t2,or(carry,t2))),xor(a,xor(t5,or(carry,t2)))) )],[refute_0_19757,refute_0_19758]) ).
cnf(refute_0_19760,plain,
and(t2,not(xor(carry,or(carry,t2)))) = xor(a,xor(t5,or(carry,t2))),
inference(resolve,[$cnf( $equal(and(t2,not(xor(carry,or(carry,t2)))),xor(carry,xor(t2,or(carry,t2)))) )],[refute_0_19618,refute_0_19759]) ).
cnf(refute_0_19761,plain,
( and(not(a),not(xor(carry,or(carry,t2)))) != and(t1,and(t2,not(xor(carry,or(carry,t2)))))
| and(t2,not(xor(carry,or(carry,t2)))) != xor(a,xor(t5,or(carry,t2)))
| and(not(a),not(xor(carry,or(carry,t2)))) = and(t1,xor(a,xor(t5,or(carry,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(a),not(xor(carry,or(carry,t2)))),and(t1,and(t2,not(xor(carry,or(carry,t2)))))) ),[1,1],$fot(xor(a,xor(t5,or(carry,t2))))]]) ).
cnf(refute_0_19762,plain,
( and(not(a),not(xor(carry,or(carry,t2)))) != and(t1,and(t2,not(xor(carry,or(carry,t2)))))
| and(not(a),not(xor(carry,or(carry,t2)))) = and(t1,xor(a,xor(t5,or(carry,t2)))) ),
inference(resolve,[$cnf( $equal(and(t2,not(xor(carry,or(carry,t2)))),xor(a,xor(t5,or(carry,t2)))) )],[refute_0_19760,refute_0_19761]) ).
cnf(refute_0_19763,plain,
and(not(a),not(xor(carry,or(carry,t2)))) = and(t1,xor(a,xor(t5,or(carry,t2)))),
inference(resolve,[$cnf( $equal(and(not(a),not(xor(carry,or(carry,t2)))),and(t1,and(t2,not(xor(carry,or(carry,t2)))))) )],[refute_0_19529,refute_0_19762]) ).
cnf(refute_0_19764,plain,
and(not(a),not(xor(carry,or(carry,t2)))) = not(or(a,xor(carry,or(carry,t2)))),
inference(subst,[],[refute_0_101:[bind(X,$fot(a)),bind(Y,$fot(xor(carry,or(carry,t2))))]]) ).
cnf(refute_0_19765,plain,
( and(not(a),not(xor(carry,or(carry,t2)))) != and(t1,xor(a,xor(t5,or(carry,t2))))
| and(not(a),not(xor(carry,or(carry,t2)))) != not(or(a,xor(carry,or(carry,t2))))
| not(or(a,xor(carry,or(carry,t2)))) = and(t1,xor(a,xor(t5,or(carry,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(a),not(xor(carry,or(carry,t2)))),and(t1,xor(a,xor(t5,or(carry,t2))))) ),[0],$fot(not(or(a,xor(carry,or(carry,t2)))))]]) ).
cnf(refute_0_19766,plain,
( and(not(a),not(xor(carry,or(carry,t2)))) != and(t1,xor(a,xor(t5,or(carry,t2))))
| not(or(a,xor(carry,or(carry,t2)))) = and(t1,xor(a,xor(t5,or(carry,t2)))) ),
inference(resolve,[$cnf( $equal(and(not(a),not(xor(carry,or(carry,t2)))),not(or(a,xor(carry,or(carry,t2))))) )],[refute_0_19764,refute_0_19765]) ).
cnf(refute_0_19767,plain,
not(or(a,xor(carry,or(carry,t2)))) = and(t1,xor(a,xor(t5,or(carry,t2)))),
inference(resolve,[$cnf( $equal(and(not(a),not(xor(carry,or(carry,t2)))),and(t1,xor(a,xor(t5,or(carry,t2))))) )],[refute_0_19763,refute_0_19766]) ).
cnf(refute_0_19768,plain,
( not(or(a,xor(carry,or(carry,t2)))) != and(t1,xor(a,xor(t5,or(carry,t2))))
| not(or(a,xor(carry,or(carry,t2)))) != not(or(a,xor(carry,or(b,t6))))
| not(or(a,xor(carry,or(b,t6)))) = and(t1,xor(a,xor(t5,or(carry,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(a,xor(carry,or(carry,t2)))),and(t1,xor(a,xor(t5,or(carry,t2))))) ),[0],$fot(not(or(a,xor(carry,or(b,t6)))))]]) ).
cnf(refute_0_19769,plain,
( not(or(a,xor(carry,or(carry,t2)))) != and(t1,xor(a,xor(t5,or(carry,t2))))
| not(or(a,xor(carry,or(b,t6)))) = and(t1,xor(a,xor(t5,or(carry,t2)))) ),
inference(resolve,[$cnf( $equal(not(or(a,xor(carry,or(carry,t2)))),not(or(a,xor(carry,or(b,t6))))) )],[refute_0_19524,refute_0_19768]) ).
cnf(refute_0_19770,plain,
xor(a,xor(t5,or(carry,t2))) = xor(a,xor(t5,or(carry,t2))),
introduced(tautology,[refl,[$fot(xor(a,xor(t5,or(carry,t2))))]]) ).
cnf(refute_0_19771,plain,
( xor(a,xor(t5,or(carry,t2))) != xor(a,xor(t5,or(carry,t2)))
| xor(t5,or(carry,t2)) != xor(t5,or(b,t6))
| xor(a,xor(t5,or(carry,t2))) = xor(a,xor(t5,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t5,or(carry,t2))),xor(a,xor(t5,or(carry,t2)))) ),[1,1],$fot(xor(t5,or(b,t6)))]]) ).
cnf(refute_0_19772,plain,
( xor(t5,or(carry,t2)) != xor(t5,or(b,t6))
| xor(a,xor(t5,or(carry,t2))) = xor(a,xor(t5,or(b,t6))) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t5,or(carry,t2))),xor(a,xor(t5,or(carry,t2)))) )],[refute_0_19770,refute_0_19771]) ).
cnf(refute_0_19773,plain,
xor(a,xor(t5,or(carry,t2))) = xor(a,xor(t5,or(b,t6))),
inference(resolve,[$cnf( $equal(xor(t5,or(carry,t2)),xor(t5,or(b,t6))) )],[refute_0_19506,refute_0_19772]) ).
cnf(refute_0_19774,plain,
and(t1,xor(a,xor(t5,or(carry,t2)))) = and(t1,xor(a,xor(t5,or(carry,t2)))),
introduced(tautology,[refl,[$fot(and(t1,xor(a,xor(t5,or(carry,t2)))))]]) ).
cnf(refute_0_19775,plain,
( and(t1,xor(a,xor(t5,or(carry,t2)))) != and(t1,xor(a,xor(t5,or(carry,t2))))
| xor(a,xor(t5,or(carry,t2))) != xor(a,xor(t5,or(b,t6)))
| and(t1,xor(a,xor(t5,or(carry,t2)))) = and(t1,xor(a,xor(t5,or(b,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,xor(a,xor(t5,or(carry,t2)))),and(t1,xor(a,xor(t5,or(carry,t2))))) ),[1,1],$fot(xor(a,xor(t5,or(b,t6))))]]) ).
cnf(refute_0_19776,plain,
( xor(a,xor(t5,or(carry,t2))) != xor(a,xor(t5,or(b,t6)))
| and(t1,xor(a,xor(t5,or(carry,t2)))) = and(t1,xor(a,xor(t5,or(b,t6)))) ),
inference(resolve,[$cnf( $equal(and(t1,xor(a,xor(t5,or(carry,t2)))),and(t1,xor(a,xor(t5,or(carry,t2))))) )],[refute_0_19774,refute_0_19775]) ).
cnf(refute_0_19777,plain,
and(t1,xor(a,xor(t5,or(carry,t2)))) = and(t1,xor(a,xor(t5,or(b,t6)))),
inference(resolve,[$cnf( $equal(xor(a,xor(t5,or(carry,t2))),xor(a,xor(t5,or(b,t6)))) )],[refute_0_19773,refute_0_19776]) ).
cnf(refute_0_19778,plain,
( and(t1,xor(a,xor(t5,or(carry,t2)))) != and(t1,xor(a,xor(t5,or(b,t6))))
| not(or(a,xor(carry,or(b,t6)))) != and(t1,xor(a,xor(t5,or(carry,t2))))
| not(or(a,xor(carry,or(b,t6)))) = and(t1,xor(a,xor(t5,or(b,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(a,xor(carry,or(b,t6)))),and(t1,xor(a,xor(t5,or(carry,t2))))) ),[1],$fot(and(t1,xor(a,xor(t5,or(b,t6)))))]]) ).
cnf(refute_0_19779,plain,
( not(or(a,xor(carry,or(b,t6)))) != and(t1,xor(a,xor(t5,or(carry,t2))))
| not(or(a,xor(carry,or(b,t6)))) = and(t1,xor(a,xor(t5,or(b,t6)))) ),
inference(resolve,[$cnf( $equal(and(t1,xor(a,xor(t5,or(carry,t2)))),and(t1,xor(a,xor(t5,or(b,t6))))) )],[refute_0_19777,refute_0_19778]) ).
cnf(refute_0_19780,plain,
( not(or(a,xor(carry,or(carry,t2)))) != and(t1,xor(a,xor(t5,or(carry,t2))))
| not(or(a,xor(carry,or(b,t6)))) = and(t1,xor(a,xor(t5,or(b,t6)))) ),
inference(resolve,[$cnf( $equal(not(or(a,xor(carry,or(b,t6)))),and(t1,xor(a,xor(t5,or(carry,t2))))) )],[refute_0_19769,refute_0_19779]) ).
cnf(refute_0_19781,plain,
not(or(a,xor(carry,or(b,t6)))) = and(t1,xor(a,xor(t5,or(b,t6)))),
inference(resolve,[$cnf( $equal(not(or(a,xor(carry,or(carry,t2)))),and(t1,xor(a,xor(t5,or(carry,t2))))) )],[refute_0_19767,refute_0_19780]) ).
cnf(refute_0_19782,plain,
( and(not(t5),Z) != and(carry,and(t1,Z))
| and(carry,and(t1,Z)) = and(not(t5),Z) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t5),Z))),bind(Y0,$fot(and(carry,and(t1,Z))))]]) ).
cnf(refute_0_19783,plain,
and(carry,and(t1,Z)) = and(not(t5),Z),
inference(resolve,[$cnf( $equal(and(not(t5),Z),and(carry,and(t1,Z))) )],[refute_0_11700,refute_0_19782]) ).
cnf(refute_0_19784,plain,
and(carry,and(t1,xor(t4,and(t3,t6)))) = and(not(t5),xor(t4,and(t3,t6))),
inference(subst,[],[refute_0_19783:[bind(Z,$fot(xor(t4,and(t3,t6))))]]) ).
cnf(refute_0_19785,plain,
and(t1,and(carry,xor(t4,and(t3,t6)))) = and(carry,and(t1,xor(t4,and(t3,t6)))),
inference(subst,[],[refute_0_4220:[bind(X,$fot(carry)),bind(Z,$fot(xor(t4,and(t3,t6)))),bind(X_669,$fot(t1))]]) ).
cnf(refute_0_19786,plain,
( and(carry,and(t1,xor(t4,and(t3,t6)))) != and(not(t5),xor(t4,and(t3,t6)))
| and(t1,and(carry,xor(t4,and(t3,t6)))) != and(carry,and(t1,xor(t4,and(t3,t6))))
| and(t1,and(carry,xor(t4,and(t3,t6)))) = and(not(t5),xor(t4,and(t3,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t1,and(carry,xor(t4,and(t3,t6)))))),bind(Y0,$fot(and(carry,and(t1,xor(t4,and(t3,t6)))))),bind(Z0,$fot(and(not(t5),xor(t4,and(t3,t6)))))]]) ).
cnf(refute_0_19787,plain,
( and(carry,and(t1,xor(t4,and(t3,t6)))) != and(not(t5),xor(t4,and(t3,t6)))
| and(t1,and(carry,xor(t4,and(t3,t6)))) = and(not(t5),xor(t4,and(t3,t6))) ),
inference(resolve,[$cnf( $equal(and(t1,and(carry,xor(t4,and(t3,t6)))),and(carry,and(t1,xor(t4,and(t3,t6))))) )],[refute_0_19785,refute_0_19786]) ).
cnf(refute_0_19788,plain,
and(t1,and(carry,xor(t4,and(t3,t6)))) = and(not(t5),xor(t4,and(t3,t6))),
inference(resolve,[$cnf( $equal(and(carry,and(t1,xor(t4,and(t3,t6)))),and(not(t5),xor(t4,and(t3,t6)))) )],[refute_0_19784,refute_0_19787]) ).
cnf(refute_0_19789,plain,
or(and(carry,not(xor(t2,or(carry,t2)))),and(not(carry),xor(t2,or(carry,t2)))) = xor(carry,xor(t2,or(carry,t2))),
inference(subst,[],[refute_0_9:[bind(X,$fot(carry)),bind(Y,$fot(xor(t2,or(carry,t2))))]]) ).
cnf(refute_0_19790,plain,
and(or(carry,not(xor(t2,or(carry,t2)))),not(or(not(xor(t2,or(carry,t2))),carry))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(not(xor(t2,or(carry,t2))))),bind(X_28,$fot(carry))]]) ).
cnf(refute_0_19791,plain,
or(t2,or(X_38,not(or(not(a),X_38)))) = or(t2,or(not(a),or(X_38,not(or(not(a),X_38))))),
inference(subst,[],[refute_0_2940:[bind(X_39,$fot(or(X_38,not(or(not(a),X_38)))))]]) ).
cnf(refute_0_19792,plain,
or(not(a),or(X_38,not(or(not(a),X_38)))) = ll1,
inference(subst,[],[refute_0_137:[bind(X_37,$fot(not(a)))]]) ).
cnf(refute_0_19793,plain,
( or(not(a),or(X_38,not(or(not(a),X_38)))) != ll1
| or(t2,or(X_38,not(or(not(a),X_38)))) != or(t2,or(not(a),or(X_38,not(or(not(a),X_38)))))
| or(t2,or(X_38,not(or(not(a),X_38)))) = or(t2,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,or(X_38,not(or(not(a),X_38)))),or(t2,or(not(a),or(X_38,not(or(not(a),X_38)))))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_19794,plain,
( or(t2,or(X_38,not(or(not(a),X_38)))) != or(t2,or(not(a),or(X_38,not(or(not(a),X_38)))))
| or(t2,or(X_38,not(or(not(a),X_38)))) = or(t2,ll1) ),
inference(resolve,[$cnf( $equal(or(not(a),or(X_38,not(or(not(a),X_38)))),ll1) )],[refute_0_19792,refute_0_19793]) ).
cnf(refute_0_19795,plain,
or(t2,or(X_38,not(or(not(a),X_38)))) = or(t2,ll1),
inference(resolve,[$cnf( $equal(or(t2,or(X_38,not(or(not(a),X_38)))),or(t2,or(not(a),or(X_38,not(or(not(a),X_38)))))) )],[refute_0_19791,refute_0_19794]) ).
cnf(refute_0_19796,plain,
not(or(not(a),X_38)) = and(a,not(X_38)),
inference(subst,[],[refute_0_159:[bind(X,$fot(a)),bind(X_26,$fot(X_38))]]) ).
cnf(refute_0_19797,plain,
or(X_38,not(or(not(a),X_38))) = or(X_38,not(or(not(a),X_38))),
introduced(tautology,[refl,[$fot(or(X_38,not(or(not(a),X_38))))]]) ).
cnf(refute_0_19798,plain,
( not(or(not(a),X_38)) != and(a,not(X_38))
| or(X_38,not(or(not(a),X_38))) != or(X_38,not(or(not(a),X_38)))
| or(X_38,not(or(not(a),X_38))) = or(X_38,and(a,not(X_38))) ),
introduced(tautology,[equality,[$cnf( $equal(or(X_38,not(or(not(a),X_38))),or(X_38,not(or(not(a),X_38)))) ),[1,1],$fot(and(a,not(X_38)))]]) ).
cnf(refute_0_19799,plain,
( not(or(not(a),X_38)) != and(a,not(X_38))
| or(X_38,not(or(not(a),X_38))) = or(X_38,and(a,not(X_38))) ),
inference(resolve,[$cnf( $equal(or(X_38,not(or(not(a),X_38))),or(X_38,not(or(not(a),X_38)))) )],[refute_0_19797,refute_0_19798]) ).
cnf(refute_0_19800,plain,
or(X_38,not(or(not(a),X_38))) = or(X_38,and(a,not(X_38))),
inference(resolve,[$cnf( $equal(not(or(not(a),X_38)),and(a,not(X_38))) )],[refute_0_19796,refute_0_19799]) ).
cnf(refute_0_19801,plain,
or(t2,or(X_38,not(or(not(a),X_38)))) = or(t2,or(X_38,not(or(not(a),X_38)))),
introduced(tautology,[refl,[$fot(or(t2,or(X_38,not(or(not(a),X_38)))))]]) ).
cnf(refute_0_19802,plain,
( or(X_38,not(or(not(a),X_38))) != or(X_38,and(a,not(X_38)))
| or(t2,or(X_38,not(or(not(a),X_38)))) != or(t2,or(X_38,not(or(not(a),X_38))))
| or(t2,or(X_38,not(or(not(a),X_38)))) = or(t2,or(X_38,and(a,not(X_38)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,or(X_38,not(or(not(a),X_38)))),or(t2,or(X_38,not(or(not(a),X_38))))) ),[1,1],$fot(or(X_38,and(a,not(X_38))))]]) ).
cnf(refute_0_19803,plain,
( or(X_38,not(or(not(a),X_38))) != or(X_38,and(a,not(X_38)))
| or(t2,or(X_38,not(or(not(a),X_38)))) = or(t2,or(X_38,and(a,not(X_38)))) ),
inference(resolve,[$cnf( $equal(or(t2,or(X_38,not(or(not(a),X_38)))),or(t2,or(X_38,not(or(not(a),X_38))))) )],[refute_0_19801,refute_0_19802]) ).
cnf(refute_0_19804,plain,
or(t2,or(X_38,not(or(not(a),X_38)))) = or(t2,or(X_38,and(a,not(X_38)))),
inference(resolve,[$cnf( $equal(or(X_38,not(or(not(a),X_38))),or(X_38,and(a,not(X_38)))) )],[refute_0_19800,refute_0_19803]) ).
cnf(refute_0_19805,plain,
( or(t2,or(X_38,not(or(not(a),X_38)))) != or(t2,ll1)
| or(t2,or(X_38,not(or(not(a),X_38)))) != or(t2,or(X_38,and(a,not(X_38))))
| or(t2,or(X_38,and(a,not(X_38)))) = or(t2,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,or(X_38,not(or(not(a),X_38)))),or(t2,ll1)) ),[0],$fot(or(t2,or(X_38,and(a,not(X_38)))))]]) ).
cnf(refute_0_19806,plain,
( or(t2,or(X_38,not(or(not(a),X_38)))) != or(t2,ll1)
| or(t2,or(X_38,and(a,not(X_38)))) = or(t2,ll1) ),
inference(resolve,[$cnf( $equal(or(t2,or(X_38,not(or(not(a),X_38)))),or(t2,or(X_38,and(a,not(X_38))))) )],[refute_0_19804,refute_0_19805]) ).
cnf(refute_0_19807,plain,
( or(t2,ll1) != ll1
| or(t2,or(X_38,and(a,not(X_38)))) != or(t2,ll1)
| or(t2,or(X_38,and(a,not(X_38)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,or(X_38,and(a,not(X_38)))),or(t2,ll1)) ),[1],$fot(ll1)]]) ).
cnf(refute_0_19808,plain,
( or(t2,or(X_38,and(a,not(X_38)))) != or(t2,ll1)
| or(t2,or(X_38,and(a,not(X_38)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t2,ll1),ll1) )],[refute_0_18971,refute_0_19807]) ).
cnf(refute_0_19809,plain,
( or(t2,or(X_38,not(or(not(a),X_38)))) != or(t2,ll1)
| or(t2,or(X_38,and(a,not(X_38)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t2,or(X_38,and(a,not(X_38)))),or(t2,ll1)) )],[refute_0_19806,refute_0_19808]) ).
cnf(refute_0_19810,plain,
or(t2,or(X_38,and(a,not(X_38)))) = ll1,
inference(resolve,[$cnf( $equal(or(t2,or(X_38,not(or(not(a),X_38)))),or(t2,ll1)) )],[refute_0_19795,refute_0_19809]) ).
cnf(refute_0_19811,plain,
or(t2,or(or(carry,xor(cin,t6)),and(a,not(or(carry,xor(cin,t6)))))) = ll1,
inference(subst,[],[refute_0_19810:[bind(X_38,$fot(or(carry,xor(cin,t6))))]]) ).
cnf(refute_0_19812,plain,
( not(or(carry,xor(cin,t6))) != and(sum,t1)
| or(t2,or(or(carry,xor(cin,t6)),and(a,not(or(carry,xor(cin,t6)))))) != ll1
| or(t2,or(or(carry,xor(cin,t6)),and(a,and(sum,t1)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,or(or(carry,xor(cin,t6)),and(a,not(or(carry,xor(cin,t6)))))),ll1) ),[0,1,1,1],$fot(and(sum,t1))]]) ).
cnf(refute_0_19813,plain,
( or(t2,or(or(carry,xor(cin,t6)),and(a,not(or(carry,xor(cin,t6)))))) != ll1
| or(t2,or(or(carry,xor(cin,t6)),and(a,and(sum,t1)))) = ll1 ),
inference(resolve,[$cnf( $equal(not(or(carry,xor(cin,t6))),and(sum,t1)) )],[refute_0_11295,refute_0_19812]) ).
cnf(refute_0_19814,plain,
or(t2,or(or(carry,xor(cin,t6)),and(a,and(sum,t1)))) = ll1,
inference(resolve,[$cnf( $equal(or(t2,or(or(carry,xor(cin,t6)),and(a,not(or(carry,xor(cin,t6)))))),ll1) )],[refute_0_19811,refute_0_19813]) ).
cnf(refute_0_19815,plain,
or(t2,or(carry,or(xor(cin,t6),and(sum,not(t2))))) = or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2))))),
inference(subst,[],[refute_0_267:[bind(X_37,$fot(t2)),bind(X_38,$fot(carry)),bind(X_39,$fot(or(xor(cin,t6),and(sum,not(t2)))))]]) ).
cnf(refute_0_19816,plain,
and(not(t2),sum) = and(sum,not(t2)),
inference(subst,[],[refute_0_116:[bind(X,$fot(sum)),bind(Y,$fot(not(t2)))]]) ).
cnf(refute_0_19817,plain,
and(not(t2),X_234) = and(a,and(t1,X_234)),
inference(subst,[],[refute_0_1927:[bind(X_222,$fot(X_234))]]) ).
cnf(refute_0_19818,plain,
and(X_234,t1) = and(t1,X_234),
inference(subst,[],[and_commutative:[bind(X,$fot(X_234)),bind(Y,$fot(t1))]]) ).
cnf(refute_0_19819,plain,
( and(X_234,t1) != and(t1,X_234)
| and(t1,X_234) = and(X_234,t1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X_234,t1))),bind(Y0,$fot(and(t1,X_234)))]]) ).
cnf(refute_0_19820,plain,
and(t1,X_234) = and(X_234,t1),
inference(resolve,[$cnf( $equal(and(X_234,t1),and(t1,X_234)) )],[refute_0_19818,refute_0_19819]) ).
cnf(refute_0_19821,plain,
( and(not(t2),X_234) != and(a,and(t1,X_234))
| and(t1,X_234) != and(X_234,t1)
| and(not(t2),X_234) = and(a,and(X_234,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),X_234),and(a,and(t1,X_234))) ),[1,1],$fot(and(X_234,t1))]]) ).
cnf(refute_0_19822,plain,
( and(not(t2),X_234) != and(a,and(t1,X_234))
| and(not(t2),X_234) = and(a,and(X_234,t1)) ),
inference(resolve,[$cnf( $equal(and(t1,X_234),and(X_234,t1)) )],[refute_0_19820,refute_0_19821]) ).
cnf(refute_0_19823,plain,
and(not(t2),X_234) = and(a,and(X_234,t1)),
inference(resolve,[$cnf( $equal(and(not(t2),X_234),and(a,and(t1,X_234))) )],[refute_0_19817,refute_0_19822]) ).
cnf(refute_0_19824,plain,
( and(not(t2),X_234) != and(a,and(X_234,t1))
| and(a,and(X_234,t1)) = and(not(t2),X_234) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t2),X_234))),bind(Y0,$fot(and(a,and(X_234,t1))))]]) ).
cnf(refute_0_19825,plain,
and(a,and(X_234,t1)) = and(not(t2),X_234),
inference(resolve,[$cnf( $equal(and(not(t2),X_234),and(a,and(X_234,t1))) )],[refute_0_19823,refute_0_19824]) ).
cnf(refute_0_19826,plain,
and(a,and(sum,t1)) = and(not(t2),sum),
inference(subst,[],[refute_0_19825:[bind(X_234,$fot(sum))]]) ).
cnf(refute_0_19827,plain,
( and(a,and(sum,t1)) != and(not(t2),sum)
| and(not(t2),sum) != and(sum,not(t2))
| and(a,and(sum,t1)) = and(sum,not(t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(a,and(sum,t1)))),bind(Y0,$fot(and(not(t2),sum))),bind(Z0,$fot(and(sum,not(t2))))]]) ).
cnf(refute_0_19828,plain,
( and(not(t2),sum) != and(sum,not(t2))
| and(a,and(sum,t1)) = and(sum,not(t2)) ),
inference(resolve,[$cnf( $equal(and(a,and(sum,t1)),and(not(t2),sum)) )],[refute_0_19826,refute_0_19827]) ).
cnf(refute_0_19829,plain,
and(a,and(sum,t1)) = and(sum,not(t2)),
inference(resolve,[$cnf( $equal(and(not(t2),sum),and(sum,not(t2))) )],[refute_0_19816,refute_0_19828]) ).
cnf(refute_0_19830,plain,
or(xor(cin,t6),and(a,and(sum,t1))) = or(xor(cin,t6),and(a,and(sum,t1))),
introduced(tautology,[refl,[$fot(or(xor(cin,t6),and(a,and(sum,t1))))]]) ).
cnf(refute_0_19831,plain,
( and(a,and(sum,t1)) != and(sum,not(t2))
| or(xor(cin,t6),and(a,and(sum,t1))) != or(xor(cin,t6),and(a,and(sum,t1)))
| or(xor(cin,t6),and(a,and(sum,t1))) = or(xor(cin,t6),and(sum,not(t2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(cin,t6),and(a,and(sum,t1))),or(xor(cin,t6),and(a,and(sum,t1)))) ),[1,1],$fot(and(sum,not(t2)))]]) ).
cnf(refute_0_19832,plain,
( and(a,and(sum,t1)) != and(sum,not(t2))
| or(xor(cin,t6),and(a,and(sum,t1))) = or(xor(cin,t6),and(sum,not(t2))) ),
inference(resolve,[$cnf( $equal(or(xor(cin,t6),and(a,and(sum,t1))),or(xor(cin,t6),and(a,and(sum,t1)))) )],[refute_0_19830,refute_0_19831]) ).
cnf(refute_0_19833,plain,
or(xor(cin,t6),and(a,and(sum,t1))) = or(xor(cin,t6),and(sum,not(t2))),
inference(resolve,[$cnf( $equal(and(a,and(sum,t1)),and(sum,not(t2))) )],[refute_0_19829,refute_0_19832]) ).
cnf(refute_0_19834,plain,
or(carry,or(xor(cin,t6),and(a,and(sum,t1)))) = or(carry,or(xor(cin,t6),and(a,and(sum,t1)))),
introduced(tautology,[refl,[$fot(or(carry,or(xor(cin,t6),and(a,and(sum,t1)))))]]) ).
cnf(refute_0_19835,plain,
( or(carry,or(xor(cin,t6),and(a,and(sum,t1)))) != or(carry,or(xor(cin,t6),and(a,and(sum,t1))))
| or(xor(cin,t6),and(a,and(sum,t1))) != or(xor(cin,t6),and(sum,not(t2)))
| or(carry,or(xor(cin,t6),and(a,and(sum,t1)))) = or(carry,or(xor(cin,t6),and(sum,not(t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,or(xor(cin,t6),and(a,and(sum,t1)))),or(carry,or(xor(cin,t6),and(a,and(sum,t1))))) ),[1,1],$fot(or(xor(cin,t6),and(sum,not(t2))))]]) ).
cnf(refute_0_19836,plain,
( or(xor(cin,t6),and(a,and(sum,t1))) != or(xor(cin,t6),and(sum,not(t2)))
| or(carry,or(xor(cin,t6),and(a,and(sum,t1)))) = or(carry,or(xor(cin,t6),and(sum,not(t2)))) ),
inference(resolve,[$cnf( $equal(or(carry,or(xor(cin,t6),and(a,and(sum,t1)))),or(carry,or(xor(cin,t6),and(a,and(sum,t1))))) )],[refute_0_19834,refute_0_19835]) ).
cnf(refute_0_19837,plain,
or(carry,or(xor(cin,t6),and(a,and(sum,t1)))) = or(carry,or(xor(cin,t6),and(sum,not(t2)))),
inference(resolve,[$cnf( $equal(or(xor(cin,t6),and(a,and(sum,t1))),or(xor(cin,t6),and(sum,not(t2)))) )],[refute_0_19833,refute_0_19836]) ).
cnf(refute_0_19838,plain,
or(carry,or(and(a,and(sum,t1)),xor(cin,t6))) = or(carry,or(xor(cin,t6),and(a,and(sum,t1)))),
inference(subst,[],[refute_0_3788:[bind(X_37,$fot(carry)),bind(X_38,$fot(xor(cin,t6))),bind(X_39,$fot(and(a,and(sum,t1))))]]) ).
cnf(refute_0_19839,plain,
or(and(a,and(sum,t1)),or(carry,xor(cin,t6))) = or(carry,or(and(a,and(sum,t1)),xor(cin,t6))),
inference(subst,[],[refute_0_267:[bind(X_37,$fot(and(a,and(sum,t1)))),bind(X_38,$fot(carry)),bind(X_39,$fot(xor(cin,t6)))]]) ).
cnf(refute_0_19840,plain,
( or(and(a,and(sum,t1)),or(carry,xor(cin,t6))) != or(carry,or(and(a,and(sum,t1)),xor(cin,t6)))
| or(carry,or(and(a,and(sum,t1)),xor(cin,t6))) != or(carry,or(xor(cin,t6),and(a,and(sum,t1))))
| or(and(a,and(sum,t1)),or(carry,xor(cin,t6))) = or(carry,or(xor(cin,t6),and(a,and(sum,t1)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(a,and(sum,t1)),or(carry,xor(cin,t6))))),bind(Y0,$fot(or(carry,or(and(a,and(sum,t1)),xor(cin,t6))))),bind(Z0,$fot(or(carry,or(xor(cin,t6),and(a,and(sum,t1))))))]]) ).
cnf(refute_0_19841,plain,
( or(carry,or(and(a,and(sum,t1)),xor(cin,t6))) != or(carry,or(xor(cin,t6),and(a,and(sum,t1))))
| or(and(a,and(sum,t1)),or(carry,xor(cin,t6))) = or(carry,or(xor(cin,t6),and(a,and(sum,t1)))) ),
inference(resolve,[$cnf( $equal(or(and(a,and(sum,t1)),or(carry,xor(cin,t6))),or(carry,or(and(a,and(sum,t1)),xor(cin,t6)))) )],[refute_0_19839,refute_0_19840]) ).
cnf(refute_0_19842,plain,
or(and(a,and(sum,t1)),or(carry,xor(cin,t6))) = or(carry,or(xor(cin,t6),and(a,and(sum,t1)))),
inference(resolve,[$cnf( $equal(or(carry,or(and(a,and(sum,t1)),xor(cin,t6))),or(carry,or(xor(cin,t6),and(a,and(sum,t1))))) )],[refute_0_19838,refute_0_19841]) ).
cnf(refute_0_19843,plain,
( or(and(a,and(sum,t1)),or(carry,xor(cin,t6))) != or(carry,or(xor(cin,t6),and(a,and(sum,t1))))
| or(carry,or(xor(cin,t6),and(a,and(sum,t1)))) != or(carry,or(xor(cin,t6),and(sum,not(t2))))
| or(and(a,and(sum,t1)),or(carry,xor(cin,t6))) = or(carry,or(xor(cin,t6),and(sum,not(t2)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(a,and(sum,t1)),or(carry,xor(cin,t6))))),bind(Y0,$fot(or(carry,or(xor(cin,t6),and(a,and(sum,t1)))))),bind(Z0,$fot(or(carry,or(xor(cin,t6),and(sum,not(t2))))))]]) ).
cnf(refute_0_19844,plain,
( or(carry,or(xor(cin,t6),and(a,and(sum,t1)))) != or(carry,or(xor(cin,t6),and(sum,not(t2))))
| or(and(a,and(sum,t1)),or(carry,xor(cin,t6))) = or(carry,or(xor(cin,t6),and(sum,not(t2)))) ),
inference(resolve,[$cnf( $equal(or(and(a,and(sum,t1)),or(carry,xor(cin,t6))),or(carry,or(xor(cin,t6),and(a,and(sum,t1))))) )],[refute_0_19842,refute_0_19843]) ).
cnf(refute_0_19845,plain,
or(and(a,and(sum,t1)),or(carry,xor(cin,t6))) = or(carry,or(xor(cin,t6),and(sum,not(t2)))),
inference(resolve,[$cnf( $equal(or(carry,or(xor(cin,t6),and(a,and(sum,t1)))),or(carry,or(xor(cin,t6),and(sum,not(t2))))) )],[refute_0_19837,refute_0_19844]) ).
cnf(refute_0_19846,plain,
or(t2,or(and(a,and(sum,t1)),or(carry,xor(cin,t6)))) = or(t2,or(and(a,and(sum,t1)),or(carry,xor(cin,t6)))),
introduced(tautology,[refl,[$fot(or(t2,or(and(a,and(sum,t1)),or(carry,xor(cin,t6)))))]]) ).
cnf(refute_0_19847,plain,
( or(and(a,and(sum,t1)),or(carry,xor(cin,t6))) != or(carry,or(xor(cin,t6),and(sum,not(t2))))
| or(t2,or(and(a,and(sum,t1)),or(carry,xor(cin,t6)))) != or(t2,or(and(a,and(sum,t1)),or(carry,xor(cin,t6))))
| or(t2,or(and(a,and(sum,t1)),or(carry,xor(cin,t6)))) = or(t2,or(carry,or(xor(cin,t6),and(sum,not(t2))))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,or(and(a,and(sum,t1)),or(carry,xor(cin,t6)))),or(t2,or(and(a,and(sum,t1)),or(carry,xor(cin,t6))))) ),[1,1],$fot(or(carry,or(xor(cin,t6),and(sum,not(t2)))))]]) ).
cnf(refute_0_19848,plain,
( or(and(a,and(sum,t1)),or(carry,xor(cin,t6))) != or(carry,or(xor(cin,t6),and(sum,not(t2))))
| or(t2,or(and(a,and(sum,t1)),or(carry,xor(cin,t6)))) = or(t2,or(carry,or(xor(cin,t6),and(sum,not(t2))))) ),
inference(resolve,[$cnf( $equal(or(t2,or(and(a,and(sum,t1)),or(carry,xor(cin,t6)))),or(t2,or(and(a,and(sum,t1)),or(carry,xor(cin,t6))))) )],[refute_0_19846,refute_0_19847]) ).
cnf(refute_0_19849,plain,
or(t2,or(and(a,and(sum,t1)),or(carry,xor(cin,t6)))) = or(t2,or(carry,or(xor(cin,t6),and(sum,not(t2))))),
inference(resolve,[$cnf( $equal(or(and(a,and(sum,t1)),or(carry,xor(cin,t6))),or(carry,or(xor(cin,t6),and(sum,not(t2))))) )],[refute_0_19845,refute_0_19848]) ).
cnf(refute_0_19850,plain,
( or(t2,or(and(a,and(sum,t1)),or(carry,xor(cin,t6)))) != or(t2,or(carry,or(xor(cin,t6),and(sum,not(t2)))))
| or(t2,or(carry,or(xor(cin,t6),and(sum,not(t2))))) != or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2)))))
| or(t2,or(and(a,and(sum,t1)),or(carry,xor(cin,t6)))) = or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2))))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t2,or(and(a,and(sum,t1)),or(carry,xor(cin,t6)))))),bind(Y0,$fot(or(t2,or(carry,or(xor(cin,t6),and(sum,not(t2))))))),bind(Z0,$fot(or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2)))))))]]) ).
cnf(refute_0_19851,plain,
( or(t2,or(carry,or(xor(cin,t6),and(sum,not(t2))))) != or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2)))))
| or(t2,or(and(a,and(sum,t1)),or(carry,xor(cin,t6)))) = or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2))))) ),
inference(resolve,[$cnf( $equal(or(t2,or(and(a,and(sum,t1)),or(carry,xor(cin,t6)))),or(t2,or(carry,or(xor(cin,t6),and(sum,not(t2)))))) )],[refute_0_19849,refute_0_19850]) ).
cnf(refute_0_19852,plain,
or(t2,or(and(a,and(sum,t1)),or(carry,xor(cin,t6)))) = or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2))))),
inference(resolve,[$cnf( $equal(or(t2,or(carry,or(xor(cin,t6),and(sum,not(t2))))),or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2)))))) )],[refute_0_19815,refute_0_19851]) ).
cnf(refute_0_19853,plain,
or(t2,or(or(carry,xor(cin,t6)),and(a,and(sum,t1)))) = or(t2,or(and(a,and(sum,t1)),or(carry,xor(cin,t6)))),
inference(subst,[],[refute_0_3788:[bind(X_37,$fot(t2)),bind(X_38,$fot(and(a,and(sum,t1)))),bind(X_39,$fot(or(carry,xor(cin,t6))))]]) ).
cnf(refute_0_19854,plain,
( or(t2,or(and(a,and(sum,t1)),or(carry,xor(cin,t6)))) != or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2)))))
| or(t2,or(or(carry,xor(cin,t6)),and(a,and(sum,t1)))) != or(t2,or(and(a,and(sum,t1)),or(carry,xor(cin,t6))))
| or(t2,or(or(carry,xor(cin,t6)),and(a,and(sum,t1)))) = or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2))))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t2,or(or(carry,xor(cin,t6)),and(a,and(sum,t1)))))),bind(Y0,$fot(or(t2,or(and(a,and(sum,t1)),or(carry,xor(cin,t6)))))),bind(Z0,$fot(or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2)))))))]]) ).
cnf(refute_0_19855,plain,
( or(t2,or(and(a,and(sum,t1)),or(carry,xor(cin,t6)))) != or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2)))))
| or(t2,or(or(carry,xor(cin,t6)),and(a,and(sum,t1)))) = or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2))))) ),
inference(resolve,[$cnf( $equal(or(t2,or(or(carry,xor(cin,t6)),and(a,and(sum,t1)))),or(t2,or(and(a,and(sum,t1)),or(carry,xor(cin,t6))))) )],[refute_0_19853,refute_0_19854]) ).
cnf(refute_0_19856,plain,
or(t2,or(or(carry,xor(cin,t6)),and(a,and(sum,t1)))) = or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2))))),
inference(resolve,[$cnf( $equal(or(t2,or(and(a,and(sum,t1)),or(carry,xor(cin,t6)))),or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2)))))) )],[refute_0_19852,refute_0_19855]) ).
cnf(refute_0_19857,plain,
( or(t2,or(or(carry,xor(cin,t6)),and(a,and(sum,t1)))) != ll1
| or(t2,or(or(carry,xor(cin,t6)),and(a,and(sum,t1)))) != or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2)))))
| or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2))))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,or(or(carry,xor(cin,t6)),and(a,and(sum,t1)))),ll1) ),[0],$fot(or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2))))))]]) ).
cnf(refute_0_19858,plain,
( or(t2,or(or(carry,xor(cin,t6)),and(a,and(sum,t1)))) != ll1
| or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2))))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t2,or(or(carry,xor(cin,t6)),and(a,and(sum,t1)))),or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2)))))) )],[refute_0_19856,refute_0_19857]) ).
cnf(refute_0_19859,plain,
or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2))))) = ll1,
inference(resolve,[$cnf( $equal(or(t2,or(or(carry,xor(cin,t6)),and(a,and(sum,t1)))),ll1) )],[refute_0_19814,refute_0_19858]) ).
cnf(refute_0_19860,plain,
not(and(or(carry,and(t1,t2)),not(t2))) = not(and(not(t2),or(carry,and(t1,t2)))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(not(t2))),bind(X_32,$fot(or(carry,and(t1,t2))))]]) ).
cnf(refute_0_19861,plain,
or(and(t2,not(or(carry,and(t1,t2)))),and(not(t2),or(carry,and(t1,t2)))) = xor(t2,or(carry,and(t1,t2))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t2)),bind(Y,$fot(or(carry,and(t1,t2))))]]) ).
cnf(refute_0_19862,plain,
and(not(carry),and(t2,xor(t1,t2))) = and(t1,and(not(carry),and(t2,xor(t1,t2)))),
inference(subst,[],[refute_0_10470:[bind(X_222,$fot(and(t2,xor(t1,t2))))]]) ).
cnf(refute_0_19863,plain,
and(t1,and(not(carry),and(t2,xor(t1,t2)))) = ll0,
inference(subst,[],[refute_0_6594:[bind(X_220,$fot(not(carry)))]]) ).
cnf(refute_0_19864,plain,
( and(not(carry),and(t2,xor(t1,t2))) != and(t1,and(not(carry),and(t2,xor(t1,t2))))
| and(t1,and(not(carry),and(t2,xor(t1,t2)))) != ll0
| and(not(carry),and(t2,xor(t1,t2))) = ll0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(carry),and(t2,xor(t1,t2))),ll0) ),[0],$fot(and(t1,and(not(carry),and(t2,xor(t1,t2)))))]]) ).
cnf(refute_0_19865,plain,
( and(not(carry),and(t2,xor(t1,t2))) != and(t1,and(not(carry),and(t2,xor(t1,t2))))
| and(not(carry),and(t2,xor(t1,t2))) = ll0 ),
inference(resolve,[$cnf( $equal(and(t1,and(not(carry),and(t2,xor(t1,t2)))),ll0) )],[refute_0_19863,refute_0_19864]) ).
cnf(refute_0_19866,plain,
and(not(carry),and(t2,xor(t1,t2))) = ll0,
inference(resolve,[$cnf( $equal(and(not(carry),and(t2,xor(t1,t2))),and(t1,and(not(carry),and(t2,xor(t1,t2))))) )],[refute_0_19862,refute_0_19865]) ).
cnf(refute_0_19867,plain,
and(not(carry),xor(t1,t2)) = not(or(carry,and(t1,t2))),
inference(subst,[],[refute_0_6604:[bind(X,$fot(carry))]]) ).
cnf(refute_0_19868,plain,
and(t2,and(not(carry),xor(t1,t2))) = and(t2,and(not(carry),xor(t1,t2))),
introduced(tautology,[refl,[$fot(and(t2,and(not(carry),xor(t1,t2))))]]) ).
cnf(refute_0_19869,plain,
( and(not(carry),xor(t1,t2)) != not(or(carry,and(t1,t2)))
| and(t2,and(not(carry),xor(t1,t2))) != and(t2,and(not(carry),xor(t1,t2)))
| and(t2,and(not(carry),xor(t1,t2))) = and(t2,not(or(carry,and(t1,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,and(not(carry),xor(t1,t2))),and(t2,and(not(carry),xor(t1,t2)))) ),[1,1],$fot(not(or(carry,and(t1,t2))))]]) ).
cnf(refute_0_19870,plain,
( and(not(carry),xor(t1,t2)) != not(or(carry,and(t1,t2)))
| and(t2,and(not(carry),xor(t1,t2))) = and(t2,not(or(carry,and(t1,t2)))) ),
inference(resolve,[$cnf( $equal(and(t2,and(not(carry),xor(t1,t2))),and(t2,and(not(carry),xor(t1,t2)))) )],[refute_0_19868,refute_0_19869]) ).
cnf(refute_0_19871,plain,
and(t2,and(not(carry),xor(t1,t2))) = and(t2,not(or(carry,and(t1,t2)))),
inference(resolve,[$cnf( $equal(and(not(carry),xor(t1,t2)),not(or(carry,and(t1,t2)))) )],[refute_0_19867,refute_0_19870]) ).
cnf(refute_0_19872,plain,
and(not(carry),and(t2,xor(t1,t2))) = and(t2,and(not(carry),xor(t1,t2))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(carry))),bind(X_221,$fot(t2)),bind(X_222,$fot(xor(t1,t2)))]]) ).
cnf(refute_0_19873,plain,
( and(not(carry),and(t2,xor(t1,t2))) != and(t2,and(not(carry),xor(t1,t2)))
| and(t2,and(not(carry),xor(t1,t2))) != and(t2,not(or(carry,and(t1,t2))))
| and(not(carry),and(t2,xor(t1,t2))) = and(t2,not(or(carry,and(t1,t2)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(carry),and(t2,xor(t1,t2))))),bind(Y0,$fot(and(t2,and(not(carry),xor(t1,t2))))),bind(Z0,$fot(and(t2,not(or(carry,and(t1,t2))))))]]) ).
cnf(refute_0_19874,plain,
( and(t2,and(not(carry),xor(t1,t2))) != and(t2,not(or(carry,and(t1,t2))))
| and(not(carry),and(t2,xor(t1,t2))) = and(t2,not(or(carry,and(t1,t2)))) ),
inference(resolve,[$cnf( $equal(and(not(carry),and(t2,xor(t1,t2))),and(t2,and(not(carry),xor(t1,t2)))) )],[refute_0_19872,refute_0_19873]) ).
cnf(refute_0_19875,plain,
and(not(carry),and(t2,xor(t1,t2))) = and(t2,not(or(carry,and(t1,t2)))),
inference(resolve,[$cnf( $equal(and(t2,and(not(carry),xor(t1,t2))),and(t2,not(or(carry,and(t1,t2))))) )],[refute_0_19871,refute_0_19874]) ).
cnf(refute_0_19876,plain,
( and(not(carry),and(t2,xor(t1,t2))) != and(t2,not(or(carry,and(t1,t2))))
| and(not(carry),and(t2,xor(t1,t2))) != ll0
| and(t2,not(or(carry,and(t1,t2)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),and(t2,xor(t1,t2))),ll0) ),[0],$fot(and(t2,not(or(carry,and(t1,t2)))))]]) ).
cnf(refute_0_19877,plain,
( and(not(carry),and(t2,xor(t1,t2))) != ll0
| and(t2,not(or(carry,and(t1,t2)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(not(carry),and(t2,xor(t1,t2))),and(t2,not(or(carry,and(t1,t2))))) )],[refute_0_19875,refute_0_19876]) ).
cnf(refute_0_19878,plain,
and(t2,not(or(carry,and(t1,t2)))) = ll0,
inference(resolve,[$cnf( $equal(and(not(carry),and(t2,xor(t1,t2))),ll0) )],[refute_0_19866,refute_0_19877]) ).
cnf(refute_0_19879,plain,
( and(t2,not(or(carry,and(t1,t2)))) != ll0
| or(and(t2,not(or(carry,and(t1,t2)))),and(not(t2),or(carry,and(t1,t2)))) != xor(t2,or(carry,and(t1,t2)))
| or(ll0,and(not(t2),or(carry,and(t1,t2)))) = xor(t2,or(carry,and(t1,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t2,not(or(carry,and(t1,t2)))),and(not(t2),or(carry,and(t1,t2)))),xor(t2,or(carry,and(t1,t2)))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_19880,plain,
( or(and(t2,not(or(carry,and(t1,t2)))),and(not(t2),or(carry,and(t1,t2)))) != xor(t2,or(carry,and(t1,t2)))
| or(ll0,and(not(t2),or(carry,and(t1,t2)))) = xor(t2,or(carry,and(t1,t2))) ),
inference(resolve,[$cnf( $equal(and(t2,not(or(carry,and(t1,t2)))),ll0) )],[refute_0_19878,refute_0_19879]) ).
cnf(refute_0_19881,plain,
or(ll0,and(not(t2),or(carry,and(t1,t2)))) = xor(t2,or(carry,and(t1,t2))),
inference(resolve,[$cnf( $equal(or(and(t2,not(or(carry,and(t1,t2)))),and(not(t2),or(carry,and(t1,t2)))),xor(t2,or(carry,and(t1,t2)))) )],[refute_0_19861,refute_0_19880]) ).
cnf(refute_0_19882,plain,
or(ll0,and(not(t2),or(carry,and(t1,t2)))) = and(not(t2),or(carry,and(t1,t2))),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(t2),or(carry,and(t1,t2)))))]]) ).
cnf(refute_0_19883,plain,
( or(ll0,and(not(t2),or(carry,and(t1,t2)))) != and(not(t2),or(carry,and(t1,t2)))
| or(ll0,and(not(t2),or(carry,and(t1,t2)))) != xor(t2,or(carry,and(t1,t2)))
| and(not(t2),or(carry,and(t1,t2))) = xor(t2,or(carry,and(t1,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(t2),or(carry,and(t1,t2)))),xor(t2,or(carry,and(t1,t2)))) ),[0],$fot(and(not(t2),or(carry,and(t1,t2))))]]) ).
cnf(refute_0_19884,plain,
( or(ll0,and(not(t2),or(carry,and(t1,t2)))) != xor(t2,or(carry,and(t1,t2)))
| and(not(t2),or(carry,and(t1,t2))) = xor(t2,or(carry,and(t1,t2))) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t2),or(carry,and(t1,t2)))),and(not(t2),or(carry,and(t1,t2)))) )],[refute_0_19882,refute_0_19883]) ).
cnf(refute_0_19885,plain,
and(not(t2),or(carry,and(t1,t2))) = xor(t2,or(carry,and(t1,t2))),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t2),or(carry,and(t1,t2)))),xor(t2,or(carry,and(t1,t2)))) )],[refute_0_19881,refute_0_19884]) ).
cnf(refute_0_19886,plain,
( and(not(t2),or(carry,and(t1,t2))) != xor(t2,or(carry,and(t1,t2)))
| not(and(or(carry,and(t1,t2)),not(t2))) != not(and(not(t2),or(carry,and(t1,t2))))
| not(and(or(carry,and(t1,t2)),not(t2))) = not(xor(t2,or(carry,and(t1,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(carry,and(t1,t2)),not(t2))),not(and(not(t2),or(carry,and(t1,t2))))) ),[1,0],$fot(xor(t2,or(carry,and(t1,t2))))]]) ).
cnf(refute_0_19887,plain,
( not(and(or(carry,and(t1,t2)),not(t2))) != not(and(not(t2),or(carry,and(t1,t2))))
| not(and(or(carry,and(t1,t2)),not(t2))) = not(xor(t2,or(carry,and(t1,t2)))) ),
inference(resolve,[$cnf( $equal(and(not(t2),or(carry,and(t1,t2))),xor(t2,or(carry,and(t1,t2)))) )],[refute_0_19885,refute_0_19886]) ).
cnf(refute_0_19888,plain,
not(and(or(carry,and(t1,t2)),not(t2))) = not(xor(t2,or(carry,and(t1,t2)))),
inference(resolve,[$cnf( $equal(not(and(or(carry,and(t1,t2)),not(t2))),not(and(not(t2),or(carry,and(t1,t2))))) )],[refute_0_19860,refute_0_19887]) ).
cnf(refute_0_19889,plain,
not(and(not(t2),or(carry,and(t1,t2)))) = or(t2,not(or(carry,and(t1,t2)))),
inference(subst,[],[refute_0_787:[bind(X,$fot(t2)),bind(X_32,$fot(or(carry,and(t1,t2))))]]) ).
cnf(refute_0_19890,plain,
( not(and(not(t2),or(carry,and(t1,t2)))) != or(t2,not(or(carry,and(t1,t2))))
| not(and(or(carry,and(t1,t2)),not(t2))) != not(and(not(t2),or(carry,and(t1,t2))))
| not(and(or(carry,and(t1,t2)),not(t2))) = or(t2,not(or(carry,and(t1,t2)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(or(carry,and(t1,t2)),not(t2))))),bind(Y0,$fot(not(and(not(t2),or(carry,and(t1,t2)))))),bind(Z0,$fot(or(t2,not(or(carry,and(t1,t2))))))]]) ).
cnf(refute_0_19891,plain,
( not(and(not(t2),or(carry,and(t1,t2)))) != or(t2,not(or(carry,and(t1,t2))))
| not(and(or(carry,and(t1,t2)),not(t2))) = or(t2,not(or(carry,and(t1,t2)))) ),
inference(resolve,[$cnf( $equal(not(and(or(carry,and(t1,t2)),not(t2))),not(and(not(t2),or(carry,and(t1,t2))))) )],[refute_0_19860,refute_0_19890]) ).
cnf(refute_0_19892,plain,
not(and(or(carry,and(t1,t2)),not(t2))) = or(t2,not(or(carry,and(t1,t2)))),
inference(resolve,[$cnf( $equal(not(and(not(t2),or(carry,and(t1,t2)))),or(t2,not(or(carry,and(t1,t2))))) )],[refute_0_19889,refute_0_19891]) ).
cnf(refute_0_19893,plain,
( not(and(or(carry,and(t1,t2)),not(t2))) != not(xor(t2,or(carry,and(t1,t2))))
| not(and(or(carry,and(t1,t2)),not(t2))) != or(t2,not(or(carry,and(t1,t2))))
| or(t2,not(or(carry,and(t1,t2)))) = not(xor(t2,or(carry,and(t1,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(carry,and(t1,t2)),not(t2))),not(xor(t2,or(carry,and(t1,t2))))) ),[0],$fot(or(t2,not(or(carry,and(t1,t2)))))]]) ).
cnf(refute_0_19894,plain,
( not(and(or(carry,and(t1,t2)),not(t2))) != not(xor(t2,or(carry,and(t1,t2))))
| or(t2,not(or(carry,and(t1,t2)))) = not(xor(t2,or(carry,and(t1,t2)))) ),
inference(resolve,[$cnf( $equal(not(and(or(carry,and(t1,t2)),not(t2))),or(t2,not(or(carry,and(t1,t2))))) )],[refute_0_19892,refute_0_19893]) ).
cnf(refute_0_19895,plain,
or(t2,not(or(carry,and(t1,t2)))) = not(xor(t2,or(carry,and(t1,t2)))),
inference(resolve,[$cnf( $equal(not(and(or(carry,and(t1,t2)),not(t2))),not(xor(t2,or(carry,and(t1,t2))))) )],[refute_0_19888,refute_0_19894]) ).
cnf(refute_0_19896,plain,
not(and(not(carry),a)) = not(and(a,not(carry))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(a)),bind(X_32,$fot(not(carry)))]]) ).
cnf(refute_0_19897,plain,
( and(a,not(carry)) != not(or(carry,t2))
| not(and(not(carry),a)) != not(and(a,not(carry)))
| not(and(not(carry),a)) = not(not(or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(carry),a)),not(and(a,not(carry)))) ),[1,0],$fot(not(or(carry,t2)))]]) ).
cnf(refute_0_19898,plain,
( not(and(not(carry),a)) != not(and(a,not(carry)))
| not(and(not(carry),a)) = not(not(or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(a,not(carry)),not(or(carry,t2))) )],[refute_0_5011,refute_0_19897]) ).
cnf(refute_0_19899,plain,
not(and(not(carry),a)) = not(not(or(carry,t2))),
inference(resolve,[$cnf( $equal(not(and(not(carry),a)),not(and(a,not(carry)))) )],[refute_0_19896,refute_0_19898]) ).
cnf(refute_0_19900,plain,
not(and(not(carry),a)) = or(carry,not(a)),
inference(subst,[],[refute_0_787:[bind(X,$fot(carry)),bind(X_32,$fot(a))]]) ).
cnf(refute_0_19901,plain,
( not(and(not(carry),a)) != not(not(or(carry,t2)))
| not(and(not(carry),a)) != or(carry,not(a))
| or(carry,not(a)) = not(not(or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(carry),a)),not(not(or(carry,t2)))) ),[0],$fot(or(carry,not(a)))]]) ).
cnf(refute_0_19902,plain,
( not(and(not(carry),a)) != not(not(or(carry,t2)))
| or(carry,not(a)) = not(not(or(carry,t2))) ),
inference(resolve,[$cnf( $equal(not(and(not(carry),a)),or(carry,not(a))) )],[refute_0_19900,refute_0_19901]) ).
cnf(refute_0_19903,plain,
( not(not(or(carry,t2))) != or(carry,t2)
| or(carry,not(a)) != not(not(or(carry,t2)))
| or(carry,not(a)) = or(carry,t2) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(a)),not(not(or(carry,t2)))) ),[1],$fot(or(carry,t2))]]) ).
cnf(refute_0_19904,plain,
( or(carry,not(a)) != not(not(or(carry,t2)))
| or(carry,not(a)) = or(carry,t2) ),
inference(resolve,[$cnf( $equal(not(not(or(carry,t2))),or(carry,t2)) )],[refute_0_18607,refute_0_19903]) ).
cnf(refute_0_19905,plain,
( not(and(not(carry),a)) != not(not(or(carry,t2)))
| or(carry,not(a)) = or(carry,t2) ),
inference(resolve,[$cnf( $equal(or(carry,not(a)),not(not(or(carry,t2)))) )],[refute_0_19902,refute_0_19904]) ).
cnf(refute_0_19906,plain,
or(carry,not(a)) = or(carry,t2),
inference(resolve,[$cnf( $equal(not(and(not(carry),a)),not(not(or(carry,t2)))) )],[refute_0_19899,refute_0_19905]) ).
cnf(refute_0_19907,plain,
or(carry,and(t1,t2)) = or(carry,and(t1,t2)),
introduced(tautology,[refl,[$fot(or(carry,and(t1,t2)))]]) ).
cnf(refute_0_19908,plain,
( and(t1,t2) != not(a)
| or(carry,and(t1,t2)) != or(carry,and(t1,t2))
| or(carry,and(t1,t2)) = or(carry,not(a)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,and(t1,t2)),or(carry,and(t1,t2))) ),[1,1],$fot(not(a))]]) ).
cnf(refute_0_19909,plain,
( and(t1,t2) != not(a)
| or(carry,and(t1,t2)) = or(carry,not(a)) ),
inference(resolve,[$cnf( $equal(or(carry,and(t1,t2)),or(carry,and(t1,t2))) )],[refute_0_19907,refute_0_19908]) ).
cnf(refute_0_19910,plain,
or(carry,and(t1,t2)) = or(carry,not(a)),
inference(resolve,[$cnf( $equal(and(t1,t2),not(a)) )],[refute_0_597,refute_0_19909]) ).
cnf(refute_0_19911,plain,
( or(carry,and(t1,t2)) != or(carry,not(a))
| or(carry,not(a)) != or(carry,t2)
| or(carry,and(t1,t2)) = or(carry,t2) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(carry,and(t1,t2)))),bind(Y0,$fot(or(carry,not(a)))),bind(Z0,$fot(or(carry,t2)))]]) ).
cnf(refute_0_19912,plain,
( or(carry,not(a)) != or(carry,t2)
| or(carry,and(t1,t2)) = or(carry,t2) ),
inference(resolve,[$cnf( $equal(or(carry,and(t1,t2)),or(carry,not(a))) )],[refute_0_19910,refute_0_19911]) ).
cnf(refute_0_19913,plain,
or(carry,and(t1,t2)) = or(carry,t2),
inference(resolve,[$cnf( $equal(or(carry,not(a)),or(carry,t2)) )],[refute_0_19906,refute_0_19912]) ).
cnf(refute_0_19914,plain,
not(or(carry,and(t1,t2))) = not(or(carry,and(t1,t2))),
introduced(tautology,[refl,[$fot(not(or(carry,and(t1,t2))))]]) ).
cnf(refute_0_19915,plain,
( not(or(carry,and(t1,t2))) != not(or(carry,and(t1,t2)))
| or(carry,and(t1,t2)) != or(carry,t2)
| not(or(carry,and(t1,t2))) = not(or(carry,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,and(t1,t2))),not(or(carry,and(t1,t2)))) ),[1,0],$fot(or(carry,t2))]]) ).
cnf(refute_0_19916,plain,
( or(carry,and(t1,t2)) != or(carry,t2)
| not(or(carry,and(t1,t2))) = not(or(carry,t2)) ),
inference(resolve,[$cnf( $equal(not(or(carry,and(t1,t2))),not(or(carry,and(t1,t2)))) )],[refute_0_19914,refute_0_19915]) ).
cnf(refute_0_19917,plain,
not(or(carry,and(t1,t2))) = not(or(carry,t2)),
inference(resolve,[$cnf( $equal(or(carry,and(t1,t2)),or(carry,t2)) )],[refute_0_19913,refute_0_19916]) ).
cnf(refute_0_19918,plain,
or(t2,not(or(carry,and(t1,t2)))) = or(t2,not(or(carry,and(t1,t2)))),
introduced(tautology,[refl,[$fot(or(t2,not(or(carry,and(t1,t2)))))]]) ).
cnf(refute_0_19919,plain,
( not(or(carry,and(t1,t2))) != not(or(carry,t2))
| or(t2,not(or(carry,and(t1,t2)))) != or(t2,not(or(carry,and(t1,t2))))
| or(t2,not(or(carry,and(t1,t2)))) = or(t2,not(or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,not(or(carry,and(t1,t2)))),or(t2,not(or(carry,and(t1,t2))))) ),[1,1],$fot(not(or(carry,t2)))]]) ).
cnf(refute_0_19920,plain,
( not(or(carry,and(t1,t2))) != not(or(carry,t2))
| or(t2,not(or(carry,and(t1,t2)))) = or(t2,not(or(carry,t2))) ),
inference(resolve,[$cnf( $equal(or(t2,not(or(carry,and(t1,t2)))),or(t2,not(or(carry,and(t1,t2))))) )],[refute_0_19918,refute_0_19919]) ).
cnf(refute_0_19921,plain,
or(t2,not(or(carry,and(t1,t2)))) = or(t2,not(or(carry,t2))),
inference(resolve,[$cnf( $equal(not(or(carry,and(t1,t2))),not(or(carry,t2))) )],[refute_0_19917,refute_0_19920]) ).
cnf(refute_0_19922,plain,
( or(t2,not(or(carry,and(t1,t2)))) != not(xor(t2,or(carry,and(t1,t2))))
| or(t2,not(or(carry,and(t1,t2)))) != or(t2,not(or(carry,t2)))
| or(t2,not(or(carry,t2))) = not(xor(t2,or(carry,and(t1,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,not(or(carry,and(t1,t2)))),not(xor(t2,or(carry,and(t1,t2))))) ),[0],$fot(or(t2,not(or(carry,t2))))]]) ).
cnf(refute_0_19923,plain,
( or(t2,not(or(carry,and(t1,t2)))) != not(xor(t2,or(carry,and(t1,t2))))
| or(t2,not(or(carry,t2))) = not(xor(t2,or(carry,and(t1,t2)))) ),
inference(resolve,[$cnf( $equal(or(t2,not(or(carry,and(t1,t2)))),or(t2,not(or(carry,t2)))) )],[refute_0_19921,refute_0_19922]) ).
cnf(refute_0_19924,plain,
xor(t2,or(carry,and(t1,t2))) = xor(t2,or(carry,and(t1,t2))),
introduced(tautology,[refl,[$fot(xor(t2,or(carry,and(t1,t2))))]]) ).
cnf(refute_0_19925,plain,
( or(carry,and(t1,t2)) != or(carry,t2)
| xor(t2,or(carry,and(t1,t2))) != xor(t2,or(carry,and(t1,t2)))
| xor(t2,or(carry,and(t1,t2))) = xor(t2,or(carry,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,or(carry,and(t1,t2))),xor(t2,or(carry,and(t1,t2)))) ),[1,1],$fot(or(carry,t2))]]) ).
cnf(refute_0_19926,plain,
( or(carry,and(t1,t2)) != or(carry,t2)
| xor(t2,or(carry,and(t1,t2))) = xor(t2,or(carry,t2)) ),
inference(resolve,[$cnf( $equal(xor(t2,or(carry,and(t1,t2))),xor(t2,or(carry,and(t1,t2)))) )],[refute_0_19924,refute_0_19925]) ).
cnf(refute_0_19927,plain,
xor(t2,or(carry,and(t1,t2))) = xor(t2,or(carry,t2)),
inference(resolve,[$cnf( $equal(or(carry,and(t1,t2)),or(carry,t2)) )],[refute_0_19913,refute_0_19926]) ).
cnf(refute_0_19928,plain,
not(xor(t2,or(carry,and(t1,t2)))) = not(xor(t2,or(carry,and(t1,t2)))),
introduced(tautology,[refl,[$fot(not(xor(t2,or(carry,and(t1,t2)))))]]) ).
cnf(refute_0_19929,plain,
( not(xor(t2,or(carry,and(t1,t2)))) != not(xor(t2,or(carry,and(t1,t2))))
| xor(t2,or(carry,and(t1,t2))) != xor(t2,or(carry,t2))
| not(xor(t2,or(carry,and(t1,t2)))) = not(xor(t2,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t2,or(carry,and(t1,t2)))),not(xor(t2,or(carry,and(t1,t2))))) ),[1,0],$fot(xor(t2,or(carry,t2)))]]) ).
cnf(refute_0_19930,plain,
( xor(t2,or(carry,and(t1,t2))) != xor(t2,or(carry,t2))
| not(xor(t2,or(carry,and(t1,t2)))) = not(xor(t2,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(not(xor(t2,or(carry,and(t1,t2)))),not(xor(t2,or(carry,and(t1,t2))))) )],[refute_0_19928,refute_0_19929]) ).
cnf(refute_0_19931,plain,
not(xor(t2,or(carry,and(t1,t2)))) = not(xor(t2,or(carry,t2))),
inference(resolve,[$cnf( $equal(xor(t2,or(carry,and(t1,t2))),xor(t2,or(carry,t2))) )],[refute_0_19927,refute_0_19930]) ).
cnf(refute_0_19932,plain,
( not(xor(t2,or(carry,and(t1,t2)))) != not(xor(t2,or(carry,t2)))
| or(t2,not(or(carry,t2))) != not(xor(t2,or(carry,and(t1,t2))))
| or(t2,not(or(carry,t2))) = not(xor(t2,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,not(or(carry,t2))),not(xor(t2,or(carry,and(t1,t2))))) ),[1],$fot(not(xor(t2,or(carry,t2))))]]) ).
cnf(refute_0_19933,plain,
( or(t2,not(or(carry,t2))) != not(xor(t2,or(carry,and(t1,t2))))
| or(t2,not(or(carry,t2))) = not(xor(t2,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(not(xor(t2,or(carry,and(t1,t2)))),not(xor(t2,or(carry,t2)))) )],[refute_0_19931,refute_0_19932]) ).
cnf(refute_0_19934,plain,
( or(t2,not(or(carry,and(t1,t2)))) != not(xor(t2,or(carry,and(t1,t2))))
| or(t2,not(or(carry,t2))) = not(xor(t2,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(or(t2,not(or(carry,t2))),not(xor(t2,or(carry,and(t1,t2))))) )],[refute_0_19923,refute_0_19933]) ).
cnf(refute_0_19935,plain,
or(t2,not(or(carry,t2))) = not(xor(t2,or(carry,t2))),
inference(resolve,[$cnf( $equal(or(t2,not(or(carry,and(t1,t2)))),not(xor(t2,or(carry,and(t1,t2))))) )],[refute_0_19895,refute_0_19934]) ).
cnf(refute_0_19936,plain,
and(not(t2),xor(t5,xor(cin,t6))) = and(a,and(t1,xor(t5,xor(cin,t6)))),
inference(subst,[],[refute_0_1927:[bind(X_222,$fot(xor(t5,xor(cin,t6))))]]) ).
cnf(refute_0_19937,plain,
( and(not(t2),xor(t5,xor(cin,t6))) != and(a,and(t1,xor(t5,xor(cin,t6))))
| and(t1,xor(t5,xor(cin,t6))) != not(or(carry,xor(cin,t6)))
| and(not(t2),xor(t5,xor(cin,t6))) = and(a,not(or(carry,xor(cin,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),xor(t5,xor(cin,t6))),and(a,and(t1,xor(t5,xor(cin,t6))))) ),[1,1],$fot(not(or(carry,xor(cin,t6))))]]) ).
cnf(refute_0_19938,plain,
( and(not(t2),xor(t5,xor(cin,t6))) != and(a,and(t1,xor(t5,xor(cin,t6))))
| and(not(t2),xor(t5,xor(cin,t6))) = and(a,not(or(carry,xor(cin,t6)))) ),
inference(resolve,[$cnf( $equal(and(t1,xor(t5,xor(cin,t6))),not(or(carry,xor(cin,t6)))) )],[refute_0_7928,refute_0_19937]) ).
cnf(refute_0_19939,plain,
and(not(t2),xor(t5,xor(cin,t6))) = and(a,not(or(carry,xor(cin,t6)))),
inference(resolve,[$cnf( $equal(and(not(t2),xor(t5,xor(cin,t6))),and(a,and(t1,xor(t5,xor(cin,t6))))) )],[refute_0_19936,refute_0_19938]) ).
cnf(refute_0_19940,plain,
not(or(or(t2,t6),Y)) = and(not(or(t2,t6)),not(Y)),
inference(subst,[],[or_demorgan:[bind(X,$fot(or(t2,t6)))]]) ).
cnf(refute_0_19941,plain,
( not(or(or(t2,t6),Y)) != and(not(or(t2,t6)),not(Y))
| not(or(t2,t6)) != not(or(carry,t2))
| not(or(or(t2,t6),Y)) = and(not(or(carry,t2)),not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(or(t2,t6),Y)),and(not(or(t2,t6)),not(Y))) ),[1,0],$fot(not(or(carry,t2)))]]) ).
cnf(refute_0_19942,plain,
( not(or(or(t2,t6),Y)) != and(not(or(t2,t6)),not(Y))
| not(or(or(t2,t6),Y)) = and(not(or(carry,t2)),not(Y)) ),
inference(resolve,[$cnf( $equal(not(or(t2,t6)),not(or(carry,t2))) )],[refute_0_19458,refute_0_19941]) ).
cnf(refute_0_19943,plain,
not(or(or(t2,t6),Y)) = and(not(or(carry,t2)),not(Y)),
inference(resolve,[$cnf( $equal(not(or(or(t2,t6),Y)),and(not(or(t2,t6)),not(Y))) )],[refute_0_19940,refute_0_19942]) ).
cnf(refute_0_19944,plain,
or(or(t2,t6),Y) = or(t2,or(t6,Y)),
inference(subst,[],[or_associative:[bind(X,$fot(t2)),bind(Y,$fot(t6)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_19945,plain,
not(or(or(t2,t6),Y)) = not(or(or(t2,t6),Y)),
introduced(tautology,[refl,[$fot(not(or(or(t2,t6),Y)))]]) ).
cnf(refute_0_19946,plain,
( not(or(or(t2,t6),Y)) != not(or(or(t2,t6),Y))
| or(or(t2,t6),Y) != or(t2,or(t6,Y))
| not(or(or(t2,t6),Y)) = not(or(t2,or(t6,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(or(t2,t6),Y)),not(or(or(t2,t6),Y))) ),[1,0],$fot(or(t2,or(t6,Y)))]]) ).
cnf(refute_0_19947,plain,
( or(or(t2,t6),Y) != or(t2,or(t6,Y))
| not(or(or(t2,t6),Y)) = not(or(t2,or(t6,Y))) ),
inference(resolve,[$cnf( $equal(not(or(or(t2,t6),Y)),not(or(or(t2,t6),Y))) )],[refute_0_19945,refute_0_19946]) ).
cnf(refute_0_19948,plain,
not(or(or(t2,t6),Y)) = not(or(t2,or(t6,Y))),
inference(resolve,[$cnf( $equal(or(or(t2,t6),Y),or(t2,or(t6,Y))) )],[refute_0_19944,refute_0_19947]) ).
cnf(refute_0_19949,plain,
( not(or(or(t2,t6),Y)) != and(not(or(carry,t2)),not(Y))
| not(or(or(t2,t6),Y)) != not(or(t2,or(t6,Y)))
| not(or(t2,or(t6,Y))) = and(not(or(carry,t2)),not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(or(t2,t6),Y)),and(not(or(carry,t2)),not(Y))) ),[0],$fot(not(or(t2,or(t6,Y))))]]) ).
cnf(refute_0_19950,plain,
( not(or(or(t2,t6),Y)) != and(not(or(carry,t2)),not(Y))
| not(or(t2,or(t6,Y))) = and(not(or(carry,t2)),not(Y)) ),
inference(resolve,[$cnf( $equal(not(or(or(t2,t6),Y)),not(or(t2,or(t6,Y)))) )],[refute_0_19948,refute_0_19949]) ).
cnf(refute_0_19951,plain,
and(not(carry),not(Y)) = not(or(carry,Y)),
inference(subst,[],[refute_0_101:[bind(X,$fot(carry))]]) ).
cnf(refute_0_19952,plain,
and(a,and(not(carry),not(Y))) = and(a,and(not(carry),not(Y))),
introduced(tautology,[refl,[$fot(and(a,and(not(carry),not(Y))))]]) ).
cnf(refute_0_19953,plain,
( and(a,and(not(carry),not(Y))) != and(a,and(not(carry),not(Y)))
| and(not(carry),not(Y)) != not(or(carry,Y))
| and(a,and(not(carry),not(Y))) = and(a,not(or(carry,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(and(a,and(not(carry),not(Y))),and(a,and(not(carry),not(Y)))) ),[1,1],$fot(not(or(carry,Y)))]]) ).
cnf(refute_0_19954,plain,
( and(not(carry),not(Y)) != not(or(carry,Y))
| and(a,and(not(carry),not(Y))) = and(a,not(or(carry,Y))) ),
inference(resolve,[$cnf( $equal(and(a,and(not(carry),not(Y))),and(a,and(not(carry),not(Y)))) )],[refute_0_19952,refute_0_19953]) ).
cnf(refute_0_19955,plain,
and(a,and(not(carry),not(Y))) = and(a,not(or(carry,Y))),
inference(resolve,[$cnf( $equal(and(not(carry),not(Y)),not(or(carry,Y))) )],[refute_0_19951,refute_0_19954]) ).
cnf(refute_0_19956,plain,
and(not(or(carry,t2)),not(Y)) = and(a,and(not(carry),not(Y))),
inference(subst,[],[refute_0_19562:[bind(Z,$fot(not(Y)))]]) ).
cnf(refute_0_19957,plain,
( and(a,and(not(carry),not(Y))) != and(a,not(or(carry,Y)))
| and(not(or(carry,t2)),not(Y)) != and(a,and(not(carry),not(Y)))
| and(not(or(carry,t2)),not(Y)) = and(a,not(or(carry,Y))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(or(carry,t2)),not(Y)))),bind(Y0,$fot(and(a,and(not(carry),not(Y))))),bind(Z0,$fot(and(a,not(or(carry,Y)))))]]) ).
cnf(refute_0_19958,plain,
( and(a,and(not(carry),not(Y))) != and(a,not(or(carry,Y)))
| and(not(or(carry,t2)),not(Y)) = and(a,not(or(carry,Y))) ),
inference(resolve,[$cnf( $equal(and(not(or(carry,t2)),not(Y)),and(a,and(not(carry),not(Y)))) )],[refute_0_19956,refute_0_19957]) ).
cnf(refute_0_19959,plain,
and(not(or(carry,t2)),not(Y)) = and(a,not(or(carry,Y))),
inference(resolve,[$cnf( $equal(and(a,and(not(carry),not(Y))),and(a,not(or(carry,Y)))) )],[refute_0_19955,refute_0_19958]) ).
cnf(refute_0_19960,plain,
( and(not(or(carry,t2)),not(Y)) != and(a,not(or(carry,Y)))
| not(or(t2,or(t6,Y))) != and(not(or(carry,t2)),not(Y))
| not(or(t2,or(t6,Y))) = and(a,not(or(carry,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t2,or(t6,Y))),and(not(or(carry,t2)),not(Y))) ),[1],$fot(and(a,not(or(carry,Y))))]]) ).
cnf(refute_0_19961,plain,
( not(or(t2,or(t6,Y))) != and(not(or(carry,t2)),not(Y))
| not(or(t2,or(t6,Y))) = and(a,not(or(carry,Y))) ),
inference(resolve,[$cnf( $equal(and(not(or(carry,t2)),not(Y)),and(a,not(or(carry,Y)))) )],[refute_0_19959,refute_0_19960]) ).
cnf(refute_0_19962,plain,
( not(or(or(t2,t6),Y)) != and(not(or(carry,t2)),not(Y))
| not(or(t2,or(t6,Y))) = and(a,not(or(carry,Y))) ),
inference(resolve,[$cnf( $equal(not(or(t2,or(t6,Y))),and(not(or(carry,t2)),not(Y))) )],[refute_0_19950,refute_0_19961]) ).
cnf(refute_0_19963,plain,
not(or(t2,or(t6,Y))) = and(a,not(or(carry,Y))),
inference(resolve,[$cnf( $equal(not(or(or(t2,t6),Y)),and(not(or(carry,t2)),not(Y))) )],[refute_0_19943,refute_0_19962]) ).
cnf(refute_0_19964,plain,
or(or(t2,t6),Z) = or(t2,or(t6,Z)),
inference(subst,[],[or_associative:[bind(X,$fot(t2)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_19965,plain,
( or(or(t2,t6),Z) != or(t2,or(t6,Z))
| or(t2,t6) != or(carry,t2)
| or(or(carry,t2),Z) = or(t2,or(t6,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t2,t6),Z),or(t2,or(t6,Z))) ),[0,0],$fot(or(carry,t2))]]) ).
cnf(refute_0_19966,plain,
( or(or(t2,t6),Z) != or(t2,or(t6,Z))
| or(or(carry,t2),Z) = or(t2,or(t6,Z)) ),
inference(resolve,[$cnf( $equal(or(t2,t6),or(carry,t2)) )],[refute_0_19466,refute_0_19965]) ).
cnf(refute_0_19967,plain,
or(or(carry,t2),Z) = or(t2,or(t6,Z)),
inference(resolve,[$cnf( $equal(or(or(t2,t6),Z),or(t2,or(t6,Z))) )],[refute_0_19964,refute_0_19966]) ).
cnf(refute_0_19968,plain,
or(or(carry,t2),Z) = or(carry,or(t2,Z)),
inference(subst,[],[or_associative:[bind(X,$fot(carry)),bind(Y,$fot(t2))]]) ).
cnf(refute_0_19969,plain,
( or(or(carry,t2),Z) != or(carry,or(t2,Z))
| or(or(carry,t2),Z) != or(t2,or(t6,Z))
| or(carry,or(t2,Z)) = or(t2,or(t6,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(carry,t2),Z),or(t2,or(t6,Z))) ),[0],$fot(or(carry,or(t2,Z)))]]) ).
cnf(refute_0_19970,plain,
( or(or(carry,t2),Z) != or(t2,or(t6,Z))
| or(carry,or(t2,Z)) = or(t2,or(t6,Z)) ),
inference(resolve,[$cnf( $equal(or(or(carry,t2),Z),or(carry,or(t2,Z))) )],[refute_0_19968,refute_0_19969]) ).
cnf(refute_0_19971,plain,
or(carry,or(t2,Z)) = or(t2,or(t6,Z)),
inference(resolve,[$cnf( $equal(or(or(carry,t2),Z),or(t2,or(t6,Z))) )],[refute_0_19967,refute_0_19970]) ).
cnf(refute_0_19972,plain,
( or(carry,or(t2,Z)) != or(t2,or(t6,Z))
| or(t2,or(t6,Z)) = or(carry,or(t2,Z)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(carry,or(t2,Z)))),bind(Y0,$fot(or(t2,or(t6,Z))))]]) ).
cnf(refute_0_19973,plain,
or(t2,or(t6,Z)) = or(carry,or(t2,Z)),
inference(resolve,[$cnf( $equal(or(carry,or(t2,Z)),or(t2,or(t6,Z))) )],[refute_0_19971,refute_0_19972]) ).
cnf(refute_0_19974,plain,
or(t2,or(t6,Y)) = or(carry,or(t2,Y)),
inference(subst,[],[refute_0_19973:[bind(Z,$fot(Y))]]) ).
cnf(refute_0_19975,plain,
not(or(t2,or(t6,Y))) = not(or(t2,or(t6,Y))),
introduced(tautology,[refl,[$fot(not(or(t2,or(t6,Y))))]]) ).
cnf(refute_0_19976,plain,
( not(or(t2,or(t6,Y))) != not(or(t2,or(t6,Y)))
| or(t2,or(t6,Y)) != or(carry,or(t2,Y))
| not(or(t2,or(t6,Y))) = not(or(carry,or(t2,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t2,or(t6,Y))),not(or(t2,or(t6,Y)))) ),[1,0],$fot(or(carry,or(t2,Y)))]]) ).
cnf(refute_0_19977,plain,
( or(t2,or(t6,Y)) != or(carry,or(t2,Y))
| not(or(t2,or(t6,Y))) = not(or(carry,or(t2,Y))) ),
inference(resolve,[$cnf( $equal(not(or(t2,or(t6,Y))),not(or(t2,or(t6,Y)))) )],[refute_0_19975,refute_0_19976]) ).
cnf(refute_0_19978,plain,
not(or(t2,or(t6,Y))) = not(or(carry,or(t2,Y))),
inference(resolve,[$cnf( $equal(or(t2,or(t6,Y)),or(carry,or(t2,Y))) )],[refute_0_19974,refute_0_19977]) ).
cnf(refute_0_19979,plain,
( not(or(t2,or(t6,Y))) != and(a,not(or(carry,Y)))
| not(or(t2,or(t6,Y))) != not(or(carry,or(t2,Y)))
| not(or(carry,or(t2,Y))) = and(a,not(or(carry,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t2,or(t6,Y))),and(a,not(or(carry,Y)))) ),[0],$fot(not(or(carry,or(t2,Y))))]]) ).
cnf(refute_0_19980,plain,
( not(or(t2,or(t6,Y))) != and(a,not(or(carry,Y)))
| not(or(carry,or(t2,Y))) = and(a,not(or(carry,Y))) ),
inference(resolve,[$cnf( $equal(not(or(t2,or(t6,Y))),not(or(carry,or(t2,Y)))) )],[refute_0_19978,refute_0_19979]) ).
cnf(refute_0_19981,plain,
not(or(carry,or(t2,Y))) = and(a,not(or(carry,Y))),
inference(resolve,[$cnf( $equal(not(or(t2,or(t6,Y))),and(a,not(or(carry,Y)))) )],[refute_0_19963,refute_0_19980]) ).
cnf(refute_0_19982,plain,
( not(or(carry,or(t2,Y))) != and(a,not(or(carry,Y)))
| and(a,not(or(carry,Y))) = not(or(carry,or(t2,Y))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(carry,or(t2,Y))))),bind(Y0,$fot(and(a,not(or(carry,Y)))))]]) ).
cnf(refute_0_19983,plain,
and(a,not(or(carry,Y))) = not(or(carry,or(t2,Y))),
inference(resolve,[$cnf( $equal(not(or(carry,or(t2,Y))),and(a,not(or(carry,Y)))) )],[refute_0_19981,refute_0_19982]) ).
cnf(refute_0_19984,plain,
and(a,not(or(carry,xor(cin,t6)))) = not(or(carry,or(t2,xor(cin,t6)))),
inference(subst,[],[refute_0_19983:[bind(Y,$fot(xor(cin,t6)))]]) ).
cnf(refute_0_19985,plain,
( and(a,not(or(carry,xor(cin,t6)))) != not(or(carry,or(t2,xor(cin,t6))))
| and(not(t2),xor(t5,xor(cin,t6))) != and(a,not(or(carry,xor(cin,t6))))
| and(not(t2),xor(t5,xor(cin,t6))) = not(or(carry,or(t2,xor(cin,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),xor(t5,xor(cin,t6))),and(a,not(or(carry,xor(cin,t6))))) ),[1],$fot(not(or(carry,or(t2,xor(cin,t6)))))]]) ).
cnf(refute_0_19986,plain,
( and(not(t2),xor(t5,xor(cin,t6))) != and(a,not(or(carry,xor(cin,t6))))
| and(not(t2),xor(t5,xor(cin,t6))) = not(or(carry,or(t2,xor(cin,t6)))) ),
inference(resolve,[$cnf( $equal(and(a,not(or(carry,xor(cin,t6)))),not(or(carry,or(t2,xor(cin,t6))))) )],[refute_0_19984,refute_0_19985]) ).
cnf(refute_0_19987,plain,
and(not(t2),xor(t5,xor(cin,t6))) = not(or(carry,or(t2,xor(cin,t6)))),
inference(resolve,[$cnf( $equal(and(not(t2),xor(t5,xor(cin,t6))),and(a,not(or(carry,xor(cin,t6))))) )],[refute_0_19939,refute_0_19986]) ).
cnf(refute_0_19988,plain,
and(not(t2),xor(t5,xor(cin,t6))) = and(not(t2),xor(t5,xor(cin,t6))),
introduced(tautology,[refl,[$fot(and(not(t2),xor(t5,xor(cin,t6))))]]) ).
cnf(refute_0_19989,plain,
( and(not(t2),xor(t5,xor(cin,t6))) != and(not(t2),xor(t5,xor(cin,t6)))
| xor(t5,xor(cin,t6)) != xor(t6,t7)
| and(not(t2),xor(t5,xor(cin,t6))) = and(not(t2),xor(t6,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),xor(t5,xor(cin,t6))),and(not(t2),xor(t5,xor(cin,t6)))) ),[1,1],$fot(xor(t6,t7))]]) ).
cnf(refute_0_19990,plain,
( xor(t5,xor(cin,t6)) != xor(t6,t7)
| and(not(t2),xor(t5,xor(cin,t6))) = and(not(t2),xor(t6,t7)) ),
inference(resolve,[$cnf( $equal(and(not(t2),xor(t5,xor(cin,t6))),and(not(t2),xor(t5,xor(cin,t6)))) )],[refute_0_19988,refute_0_19989]) ).
cnf(refute_0_19991,plain,
and(not(t2),xor(t5,xor(cin,t6))) = and(not(t2),xor(t6,t7)),
inference(resolve,[$cnf( $equal(xor(t5,xor(cin,t6)),xor(t6,t7)) )],[refute_0_2494,refute_0_19990]) ).
cnf(refute_0_19992,plain,
( and(not(t2),xor(t5,xor(cin,t6))) != and(not(t2),xor(t6,t7))
| and(not(t2),xor(t5,xor(cin,t6))) != not(or(carry,or(t2,xor(cin,t6))))
| and(not(t2),xor(t6,t7)) = not(or(carry,or(t2,xor(cin,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),xor(t5,xor(cin,t6))),not(or(carry,or(t2,xor(cin,t6))))) ),[0],$fot(and(not(t2),xor(t6,t7)))]]) ).
cnf(refute_0_19993,plain,
( and(not(t2),xor(t5,xor(cin,t6))) != not(or(carry,or(t2,xor(cin,t6))))
| and(not(t2),xor(t6,t7)) = not(or(carry,or(t2,xor(cin,t6)))) ),
inference(resolve,[$cnf( $equal(and(not(t2),xor(t5,xor(cin,t6))),and(not(t2),xor(t6,t7))) )],[refute_0_19991,refute_0_19992]) ).
cnf(refute_0_19994,plain,
and(not(t2),xor(t6,t7)) = not(or(carry,or(t2,xor(cin,t6)))),
inference(resolve,[$cnf( $equal(and(not(t2),xor(t5,xor(cin,t6))),not(or(carry,or(t2,xor(cin,t6))))) )],[refute_0_19987,refute_0_19993]) ).
cnf(refute_0_19995,plain,
and(not(t2),xor(t6,t7)) = and(not(t2),xor(t6,t7)),
introduced(tautology,[refl,[$fot(and(not(t2),xor(t6,t7)))]]) ).
cnf(refute_0_19996,plain,
( and(not(t2),xor(t6,t7)) != and(not(t2),xor(t6,t7))
| xor(t6,t7) != sum
| and(not(t2),xor(t6,t7)) = and(not(t2),sum) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),xor(t6,t7)),and(not(t2),xor(t6,t7))) ),[1,1],$fot(sum)]]) ).
cnf(refute_0_19997,plain,
( xor(t6,t7) != sum
| and(not(t2),xor(t6,t7)) = and(not(t2),sum) ),
inference(resolve,[$cnf( $equal(and(not(t2),xor(t6,t7)),and(not(t2),xor(t6,t7))) )],[refute_0_19995,refute_0_19996]) ).
cnf(refute_0_19998,plain,
and(not(t2),xor(t6,t7)) = and(not(t2),sum),
inference(resolve,[$cnf( $equal(xor(t6,t7),sum) )],[refute_0_1154,refute_0_19997]) ).
cnf(refute_0_19999,plain,
( and(not(t2),sum) != and(sum,not(t2))
| and(not(t2),xor(t6,t7)) != and(not(t2),sum)
| and(not(t2),xor(t6,t7)) = and(sum,not(t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t2),xor(t6,t7)))),bind(Y0,$fot(and(not(t2),sum))),bind(Z0,$fot(and(sum,not(t2))))]]) ).
cnf(refute_0_20000,plain,
( and(not(t2),sum) != and(sum,not(t2))
| and(not(t2),xor(t6,t7)) = and(sum,not(t2)) ),
inference(resolve,[$cnf( $equal(and(not(t2),xor(t6,t7)),and(not(t2),sum)) )],[refute_0_19998,refute_0_19999]) ).
cnf(refute_0_20001,plain,
and(not(t2),xor(t6,t7)) = and(sum,not(t2)),
inference(resolve,[$cnf( $equal(and(not(t2),sum),and(sum,not(t2))) )],[refute_0_19816,refute_0_20000]) ).
cnf(refute_0_20002,plain,
( and(not(t2),xor(t6,t7)) != and(sum,not(t2))
| and(not(t2),xor(t6,t7)) != not(or(carry,or(t2,xor(cin,t6))))
| and(sum,not(t2)) = not(or(carry,or(t2,xor(cin,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),xor(t6,t7)),not(or(carry,or(t2,xor(cin,t6))))) ),[0],$fot(and(sum,not(t2)))]]) ).
cnf(refute_0_20003,plain,
( and(not(t2),xor(t6,t7)) != not(or(carry,or(t2,xor(cin,t6))))
| and(sum,not(t2)) = not(or(carry,or(t2,xor(cin,t6)))) ),
inference(resolve,[$cnf( $equal(and(not(t2),xor(t6,t7)),and(sum,not(t2))) )],[refute_0_20001,refute_0_20002]) ).
cnf(refute_0_20004,plain,
and(sum,not(t2)) = not(or(carry,or(t2,xor(cin,t6)))),
inference(resolve,[$cnf( $equal(and(not(t2),xor(t6,t7)),not(or(carry,or(t2,xor(cin,t6))))) )],[refute_0_19994,refute_0_20003]) ).
cnf(refute_0_20005,plain,
or(t2,xor(t4,t7)) = or(t2,xor(t4,t7)),
introduced(tautology,[refl,[$fot(or(t2,xor(t4,t7)))]]) ).
cnf(refute_0_20006,plain,
( or(t2,xor(t4,t7)) != or(t2,xor(t4,t7))
| xor(t4,t7) != xor(cin,t6)
| or(t2,xor(t4,t7)) = or(t2,xor(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,xor(t4,t7)),or(t2,xor(t4,t7))) ),[1,1],$fot(xor(cin,t6))]]) ).
cnf(refute_0_20007,plain,
( xor(t4,t7) != xor(cin,t6)
| or(t2,xor(t4,t7)) = or(t2,xor(cin,t6)) ),
inference(resolve,[$cnf( $equal(or(t2,xor(t4,t7)),or(t2,xor(t4,t7))) )],[refute_0_20005,refute_0_20006]) ).
cnf(refute_0_20008,plain,
or(t2,xor(t4,t7)) = or(t2,xor(cin,t6)),
inference(resolve,[$cnf( $equal(xor(t4,t7),xor(cin,t6)) )],[refute_0_2524,refute_0_20007]) ).
cnf(refute_0_20009,plain,
( or(t2,xor(t4,t7)) != or(t2,xor(cin,t6))
| or(t2,xor(t4,t7)) != t2
| or(t2,xor(cin,t6)) = t2 ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,xor(t4,t7)),t2) ),[0],$fot(or(t2,xor(cin,t6)))]]) ).
cnf(refute_0_20010,plain,
( or(t2,xor(t4,t7)) != t2
| or(t2,xor(cin,t6)) = t2 ),
inference(resolve,[$cnf( $equal(or(t2,xor(t4,t7)),or(t2,xor(cin,t6))) )],[refute_0_20008,refute_0_20009]) ).
cnf(refute_0_20011,plain,
or(t2,xor(cin,t6)) = t2,
inference(resolve,[$cnf( $equal(or(t2,xor(t4,t7)),t2) )],[refute_0_17511,refute_0_20010]) ).
cnf(refute_0_20012,plain,
or(carry,or(t2,xor(cin,t6))) = or(carry,or(t2,xor(cin,t6))),
introduced(tautology,[refl,[$fot(or(carry,or(t2,xor(cin,t6))))]]) ).
cnf(refute_0_20013,plain,
( or(carry,or(t2,xor(cin,t6))) != or(carry,or(t2,xor(cin,t6)))
| or(t2,xor(cin,t6)) != t2
| or(carry,or(t2,xor(cin,t6))) = or(carry,t2) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,or(t2,xor(cin,t6))),or(carry,or(t2,xor(cin,t6)))) ),[1,1],$fot(t2)]]) ).
cnf(refute_0_20014,plain,
( or(t2,xor(cin,t6)) != t2
| or(carry,or(t2,xor(cin,t6))) = or(carry,t2) ),
inference(resolve,[$cnf( $equal(or(carry,or(t2,xor(cin,t6))),or(carry,or(t2,xor(cin,t6)))) )],[refute_0_20012,refute_0_20013]) ).
cnf(refute_0_20015,plain,
or(carry,or(t2,xor(cin,t6))) = or(carry,t2),
inference(resolve,[$cnf( $equal(or(t2,xor(cin,t6)),t2) )],[refute_0_20011,refute_0_20014]) ).
cnf(refute_0_20016,plain,
not(or(carry,or(t2,xor(cin,t6)))) = not(or(carry,or(t2,xor(cin,t6)))),
introduced(tautology,[refl,[$fot(not(or(carry,or(t2,xor(cin,t6)))))]]) ).
cnf(refute_0_20017,plain,
( not(or(carry,or(t2,xor(cin,t6)))) != not(or(carry,or(t2,xor(cin,t6))))
| or(carry,or(t2,xor(cin,t6))) != or(carry,t2)
| not(or(carry,or(t2,xor(cin,t6)))) = not(or(carry,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,or(t2,xor(cin,t6)))),not(or(carry,or(t2,xor(cin,t6))))) ),[1,0],$fot(or(carry,t2))]]) ).
cnf(refute_0_20018,plain,
( or(carry,or(t2,xor(cin,t6))) != or(carry,t2)
| not(or(carry,or(t2,xor(cin,t6)))) = not(or(carry,t2)) ),
inference(resolve,[$cnf( $equal(not(or(carry,or(t2,xor(cin,t6)))),not(or(carry,or(t2,xor(cin,t6))))) )],[refute_0_20016,refute_0_20017]) ).
cnf(refute_0_20019,plain,
not(or(carry,or(t2,xor(cin,t6)))) = not(or(carry,t2)),
inference(resolve,[$cnf( $equal(or(carry,or(t2,xor(cin,t6))),or(carry,t2)) )],[refute_0_20015,refute_0_20018]) ).
cnf(refute_0_20020,plain,
( and(sum,not(t2)) != not(or(carry,or(t2,xor(cin,t6))))
| not(or(carry,or(t2,xor(cin,t6)))) != not(or(carry,t2))
| and(sum,not(t2)) = not(or(carry,t2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(sum,not(t2)),not(or(carry,t2))) ),[0],$fot(not(or(carry,or(t2,xor(cin,t6)))))]]) ).
cnf(refute_0_20021,plain,
( and(sum,not(t2)) != not(or(carry,or(t2,xor(cin,t6))))
| and(sum,not(t2)) = not(or(carry,t2)) ),
inference(resolve,[$cnf( $equal(not(or(carry,or(t2,xor(cin,t6)))),not(or(carry,t2))) )],[refute_0_20019,refute_0_20020]) ).
cnf(refute_0_20022,plain,
and(sum,not(t2)) = not(or(carry,t2)),
inference(resolve,[$cnf( $equal(and(sum,not(t2)),not(or(carry,or(t2,xor(cin,t6))))) )],[refute_0_20004,refute_0_20021]) ).
cnf(refute_0_20023,plain,
or(t2,and(sum,not(t2))) = or(t2,and(sum,not(t2))),
introduced(tautology,[refl,[$fot(or(t2,and(sum,not(t2))))]]) ).
cnf(refute_0_20024,plain,
( and(sum,not(t2)) != not(or(carry,t2))
| or(t2,and(sum,not(t2))) != or(t2,and(sum,not(t2)))
| or(t2,and(sum,not(t2))) = or(t2,not(or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,and(sum,not(t2))),or(t2,and(sum,not(t2)))) ),[1,1],$fot(not(or(carry,t2)))]]) ).
cnf(refute_0_20025,plain,
( and(sum,not(t2)) != not(or(carry,t2))
| or(t2,and(sum,not(t2))) = or(t2,not(or(carry,t2))) ),
inference(resolve,[$cnf( $equal(or(t2,and(sum,not(t2))),or(t2,and(sum,not(t2)))) )],[refute_0_20023,refute_0_20024]) ).
cnf(refute_0_20026,plain,
or(t2,and(sum,not(t2))) = or(t2,not(or(carry,t2))),
inference(resolve,[$cnf( $equal(and(sum,not(t2)),not(or(carry,t2))) )],[refute_0_20022,refute_0_20025]) ).
cnf(refute_0_20027,plain,
( or(t2,and(sum,not(t2))) != or(t2,not(or(carry,t2)))
| or(t2,not(or(carry,t2))) != not(xor(t2,or(carry,t2)))
| or(t2,and(sum,not(t2))) = not(xor(t2,or(carry,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t2,and(sum,not(t2))))),bind(Y0,$fot(or(t2,not(or(carry,t2))))),bind(Z0,$fot(not(xor(t2,or(carry,t2)))))]]) ).
cnf(refute_0_20028,plain,
( or(t2,not(or(carry,t2))) != not(xor(t2,or(carry,t2)))
| or(t2,and(sum,not(t2))) = not(xor(t2,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(or(t2,and(sum,not(t2))),or(t2,not(or(carry,t2)))) )],[refute_0_20026,refute_0_20027]) ).
cnf(refute_0_20029,plain,
or(t2,and(sum,not(t2))) = not(xor(t2,or(carry,t2))),
inference(resolve,[$cnf( $equal(or(t2,not(or(carry,t2))),not(xor(t2,or(carry,t2)))) )],[refute_0_19935,refute_0_20028]) ).
cnf(refute_0_20030,plain,
or(or(t2,xor(t4,t7)),Z) = or(t2,or(xor(t4,t7),Z)),
inference(subst,[],[or_associative:[bind(X,$fot(t2)),bind(Y,$fot(xor(t4,t7)))]]) ).
cnf(refute_0_20031,plain,
( or(or(t2,xor(t4,t7)),Z) != or(t2,or(xor(t4,t7),Z))
| or(t2,xor(t4,t7)) != t2
| or(t2,Z) = or(t2,or(xor(t4,t7),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t2,xor(t4,t7)),Z),or(t2,or(xor(t4,t7),Z))) ),[0,0],$fot(t2)]]) ).
cnf(refute_0_20032,plain,
( or(or(t2,xor(t4,t7)),Z) != or(t2,or(xor(t4,t7),Z))
| or(t2,Z) = or(t2,or(xor(t4,t7),Z)) ),
inference(resolve,[$cnf( $equal(or(t2,xor(t4,t7)),t2) )],[refute_0_17511,refute_0_20031]) ).
cnf(refute_0_20033,plain,
or(t2,Z) = or(t2,or(xor(t4,t7),Z)),
inference(resolve,[$cnf( $equal(or(or(t2,xor(t4,t7)),Z),or(t2,or(xor(t4,t7),Z))) )],[refute_0_20030,refute_0_20032]) ).
cnf(refute_0_20034,plain,
or(xor(t4,t7),Z) = or(xor(t4,t7),Z),
introduced(tautology,[refl,[$fot(or(xor(t4,t7),Z))]]) ).
cnf(refute_0_20035,plain,
( or(xor(t4,t7),Z) != or(xor(t4,t7),Z)
| xor(t4,t7) != xor(cin,t6)
| or(xor(t4,t7),Z) = or(xor(cin,t6),Z) ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(t4,t7),Z),or(xor(t4,t7),Z)) ),[1,0],$fot(xor(cin,t6))]]) ).
cnf(refute_0_20036,plain,
( xor(t4,t7) != xor(cin,t6)
| or(xor(t4,t7),Z) = or(xor(cin,t6),Z) ),
inference(resolve,[$cnf( $equal(or(xor(t4,t7),Z),or(xor(t4,t7),Z)) )],[refute_0_20034,refute_0_20035]) ).
cnf(refute_0_20037,plain,
or(xor(t4,t7),Z) = or(xor(cin,t6),Z),
inference(resolve,[$cnf( $equal(xor(t4,t7),xor(cin,t6)) )],[refute_0_2524,refute_0_20036]) ).
cnf(refute_0_20038,plain,
or(t2,or(xor(t4,t7),Z)) = or(t2,or(xor(t4,t7),Z)),
introduced(tautology,[refl,[$fot(or(t2,or(xor(t4,t7),Z)))]]) ).
cnf(refute_0_20039,plain,
( or(t2,or(xor(t4,t7),Z)) != or(t2,or(xor(t4,t7),Z))
| or(xor(t4,t7),Z) != or(xor(cin,t6),Z)
| or(t2,or(xor(t4,t7),Z)) = or(t2,or(xor(cin,t6),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,or(xor(t4,t7),Z)),or(t2,or(xor(t4,t7),Z))) ),[1,1],$fot(or(xor(cin,t6),Z))]]) ).
cnf(refute_0_20040,plain,
( or(xor(t4,t7),Z) != or(xor(cin,t6),Z)
| or(t2,or(xor(t4,t7),Z)) = or(t2,or(xor(cin,t6),Z)) ),
inference(resolve,[$cnf( $equal(or(t2,or(xor(t4,t7),Z)),or(t2,or(xor(t4,t7),Z))) )],[refute_0_20038,refute_0_20039]) ).
cnf(refute_0_20041,plain,
or(t2,or(xor(t4,t7),Z)) = or(t2,or(xor(cin,t6),Z)),
inference(resolve,[$cnf( $equal(or(xor(t4,t7),Z),or(xor(cin,t6),Z)) )],[refute_0_20037,refute_0_20040]) ).
cnf(refute_0_20042,plain,
( or(t2,Z) != or(t2,or(xor(t4,t7),Z))
| or(t2,or(xor(t4,t7),Z)) != or(t2,or(xor(cin,t6),Z))
| or(t2,Z) = or(t2,or(xor(cin,t6),Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(t2,Z),or(t2,or(xor(cin,t6),Z))) ),[0],$fot(or(t2,or(xor(t4,t7),Z)))]]) ).
cnf(refute_0_20043,plain,
( or(t2,Z) != or(t2,or(xor(t4,t7),Z))
| or(t2,Z) = or(t2,or(xor(cin,t6),Z)) ),
inference(resolve,[$cnf( $equal(or(t2,or(xor(t4,t7),Z)),or(t2,or(xor(cin,t6),Z))) )],[refute_0_20041,refute_0_20042]) ).
cnf(refute_0_20044,plain,
or(t2,Z) = or(t2,or(xor(cin,t6),Z)),
inference(resolve,[$cnf( $equal(or(t2,Z),or(t2,or(xor(t4,t7),Z))) )],[refute_0_20033,refute_0_20043]) ).
cnf(refute_0_20045,plain,
( or(t2,Z) != or(t2,or(xor(cin,t6),Z))
| or(t2,or(xor(cin,t6),Z)) = or(t2,Z) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(t2,Z))),bind(Y0,$fot(or(t2,or(xor(cin,t6),Z))))]]) ).
cnf(refute_0_20046,plain,
or(t2,or(xor(cin,t6),Z)) = or(t2,Z),
inference(resolve,[$cnf( $equal(or(t2,Z),or(t2,or(xor(cin,t6),Z))) )],[refute_0_20044,refute_0_20045]) ).
cnf(refute_0_20047,plain,
or(t2,or(xor(cin,t6),and(sum,not(t2)))) = or(t2,and(sum,not(t2))),
inference(subst,[],[refute_0_20046:[bind(Z,$fot(and(sum,not(t2))))]]) ).
cnf(refute_0_20048,plain,
( or(t2,and(sum,not(t2))) != not(xor(t2,or(carry,t2)))
| or(t2,or(xor(cin,t6),and(sum,not(t2)))) != or(t2,and(sum,not(t2)))
| or(t2,or(xor(cin,t6),and(sum,not(t2)))) = not(xor(t2,or(carry,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t2,or(xor(cin,t6),and(sum,not(t2)))))),bind(Y0,$fot(or(t2,and(sum,not(t2))))),bind(Z0,$fot(not(xor(t2,or(carry,t2)))))]]) ).
cnf(refute_0_20049,plain,
( or(t2,and(sum,not(t2))) != not(xor(t2,or(carry,t2)))
| or(t2,or(xor(cin,t6),and(sum,not(t2)))) = not(xor(t2,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(or(t2,or(xor(cin,t6),and(sum,not(t2)))),or(t2,and(sum,not(t2)))) )],[refute_0_20047,refute_0_20048]) ).
cnf(refute_0_20050,plain,
or(t2,or(xor(cin,t6),and(sum,not(t2)))) = not(xor(t2,or(carry,t2))),
inference(resolve,[$cnf( $equal(or(t2,and(sum,not(t2))),not(xor(t2,or(carry,t2)))) )],[refute_0_20029,refute_0_20049]) ).
cnf(refute_0_20051,plain,
or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2))))) = or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2))))),
introduced(tautology,[refl,[$fot(or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2))))))]]) ).
cnf(refute_0_20052,plain,
( or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2))))) != or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2)))))
| or(t2,or(xor(cin,t6),and(sum,not(t2)))) != not(xor(t2,or(carry,t2)))
| or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2))))) = or(carry,not(xor(t2,or(carry,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2))))),or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2)))))) ),[1,1],$fot(not(xor(t2,or(carry,t2))))]]) ).
cnf(refute_0_20053,plain,
( or(t2,or(xor(cin,t6),and(sum,not(t2)))) != not(xor(t2,or(carry,t2)))
| or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2))))) = or(carry,not(xor(t2,or(carry,t2)))) ),
inference(resolve,[$cnf( $equal(or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2))))),or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2)))))) )],[refute_0_20051,refute_0_20052]) ).
cnf(refute_0_20054,plain,
or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2))))) = or(carry,not(xor(t2,or(carry,t2)))),
inference(resolve,[$cnf( $equal(or(t2,or(xor(cin,t6),and(sum,not(t2)))),not(xor(t2,or(carry,t2)))) )],[refute_0_20050,refute_0_20053]) ).
cnf(refute_0_20055,plain,
( or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2))))) != ll1
| or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2))))) != or(carry,not(xor(t2,or(carry,t2))))
| or(carry,not(xor(t2,or(carry,t2)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2))))),ll1) ),[0],$fot(or(carry,not(xor(t2,or(carry,t2)))))]]) ).
cnf(refute_0_20056,plain,
( or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2))))) != ll1
| or(carry,not(xor(t2,or(carry,t2)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2))))),or(carry,not(xor(t2,or(carry,t2))))) )],[refute_0_20054,refute_0_20055]) ).
cnf(refute_0_20057,plain,
or(carry,not(xor(t2,or(carry,t2)))) = ll1,
inference(resolve,[$cnf( $equal(or(carry,or(t2,or(xor(cin,t6),and(sum,not(t2))))),ll1) )],[refute_0_19859,refute_0_20056]) ).
cnf(refute_0_20058,plain,
( and(or(carry,not(xor(t2,or(carry,t2)))),not(or(not(xor(t2,or(carry,t2))),carry))) != ll0
| or(carry,not(xor(t2,or(carry,t2)))) != ll1
| and(ll1,not(or(not(xor(t2,or(carry,t2))),carry))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(carry,not(xor(t2,or(carry,t2)))),not(or(not(xor(t2,or(carry,t2))),carry))),ll0) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_20059,plain,
( and(or(carry,not(xor(t2,or(carry,t2)))),not(or(not(xor(t2,or(carry,t2))),carry))) != ll0
| and(ll1,not(or(not(xor(t2,or(carry,t2))),carry))) = ll0 ),
inference(resolve,[$cnf( $equal(or(carry,not(xor(t2,or(carry,t2)))),ll1) )],[refute_0_20057,refute_0_20058]) ).
cnf(refute_0_20060,plain,
and(ll1,not(or(not(xor(t2,or(carry,t2))),carry))) = ll0,
inference(resolve,[$cnf( $equal(and(or(carry,not(xor(t2,or(carry,t2)))),not(or(not(xor(t2,or(carry,t2))),carry))),ll0) )],[refute_0_19790,refute_0_20059]) ).
cnf(refute_0_20061,plain,
not(or(carry,not(xor(t2,or(carry,t2))))) = and(not(carry),xor(t2,or(carry,t2))),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(t2,or(carry,t2)))),bind(X_25,$fot(carry))]]) ).
cnf(refute_0_20062,plain,
and(ll1,not(or(carry,not(xor(t2,or(carry,t2)))))) = not(or(carry,not(xor(t2,or(carry,t2))))),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(or(carry,not(xor(t2,or(carry,t2)))))))]]) ).
cnf(refute_0_20063,plain,
( and(ll1,not(or(carry,not(xor(t2,or(carry,t2)))))) != not(or(carry,not(xor(t2,or(carry,t2)))))
| not(or(carry,not(xor(t2,or(carry,t2))))) != and(not(carry),xor(t2,or(carry,t2)))
| and(ll1,not(or(carry,not(xor(t2,or(carry,t2)))))) = and(not(carry),xor(t2,or(carry,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(carry,not(xor(t2,or(carry,t2)))))))),bind(Y0,$fot(not(or(carry,not(xor(t2,or(carry,t2))))))),bind(Z0,$fot(and(not(carry),xor(t2,or(carry,t2)))))]]) ).
cnf(refute_0_20064,plain,
( not(or(carry,not(xor(t2,or(carry,t2))))) != and(not(carry),xor(t2,or(carry,t2)))
| and(ll1,not(or(carry,not(xor(t2,or(carry,t2)))))) = and(not(carry),xor(t2,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(carry,not(xor(t2,or(carry,t2)))))),not(or(carry,not(xor(t2,or(carry,t2)))))) )],[refute_0_20062,refute_0_20063]) ).
cnf(refute_0_20065,plain,
and(ll1,not(or(carry,not(xor(t2,or(carry,t2)))))) = and(not(carry),xor(t2,or(carry,t2))),
inference(resolve,[$cnf( $equal(not(or(carry,not(xor(t2,or(carry,t2))))),and(not(carry),xor(t2,or(carry,t2)))) )],[refute_0_20061,refute_0_20064]) ).
cnf(refute_0_20066,plain,
and(ll1,not(or(not(xor(t2,or(carry,t2))),carry))) = and(ll1,not(or(carry,not(xor(t2,or(carry,t2)))))),
inference(subst,[],[refute_0_815:[bind(X_25,$fot(carry)),bind(X_26,$fot(not(xor(t2,or(carry,t2))))),bind(X_29,$fot(ll1))]]) ).
cnf(refute_0_20067,plain,
( and(ll1,not(or(carry,not(xor(t2,or(carry,t2)))))) != and(not(carry),xor(t2,or(carry,t2)))
| and(ll1,not(or(not(xor(t2,or(carry,t2))),carry))) != and(ll1,not(or(carry,not(xor(t2,or(carry,t2))))))
| and(ll1,not(or(not(xor(t2,or(carry,t2))),carry))) = and(not(carry),xor(t2,or(carry,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(xor(t2,or(carry,t2))),carry))))),bind(Y0,$fot(and(ll1,not(or(carry,not(xor(t2,or(carry,t2)))))))),bind(Z0,$fot(and(not(carry),xor(t2,or(carry,t2)))))]]) ).
cnf(refute_0_20068,plain,
( and(ll1,not(or(carry,not(xor(t2,or(carry,t2)))))) != and(not(carry),xor(t2,or(carry,t2)))
| and(ll1,not(or(not(xor(t2,or(carry,t2))),carry))) = and(not(carry),xor(t2,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t2,or(carry,t2))),carry))),and(ll1,not(or(carry,not(xor(t2,or(carry,t2))))))) )],[refute_0_20066,refute_0_20067]) ).
cnf(refute_0_20069,plain,
and(ll1,not(or(not(xor(t2,or(carry,t2))),carry))) = and(not(carry),xor(t2,or(carry,t2))),
inference(resolve,[$cnf( $equal(and(ll1,not(or(carry,not(xor(t2,or(carry,t2)))))),and(not(carry),xor(t2,or(carry,t2)))) )],[refute_0_20065,refute_0_20068]) ).
cnf(refute_0_20070,plain,
( and(ll1,not(or(not(xor(t2,or(carry,t2))),carry))) != and(not(carry),xor(t2,or(carry,t2)))
| and(ll1,not(or(not(xor(t2,or(carry,t2))),carry))) != ll0
| and(not(carry),xor(t2,or(carry,t2))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(ll1,not(or(not(xor(t2,or(carry,t2))),carry))),ll0) ),[0],$fot(and(not(carry),xor(t2,or(carry,t2))))]]) ).
cnf(refute_0_20071,plain,
( and(ll1,not(or(not(xor(t2,or(carry,t2))),carry))) != ll0
| and(not(carry),xor(t2,or(carry,t2))) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t2,or(carry,t2))),carry))),and(not(carry),xor(t2,or(carry,t2)))) )],[refute_0_20069,refute_0_20070]) ).
cnf(refute_0_20072,plain,
and(not(carry),xor(t2,or(carry,t2))) = ll0,
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t2,or(carry,t2))),carry))),ll0) )],[refute_0_20060,refute_0_20071]) ).
cnf(refute_0_20073,plain,
( and(not(carry),xor(t2,or(carry,t2))) != ll0
| or(and(carry,not(xor(t2,or(carry,t2)))),and(not(carry),xor(t2,or(carry,t2)))) != xor(carry,xor(t2,or(carry,t2)))
| or(and(carry,not(xor(t2,or(carry,t2)))),ll0) = xor(carry,xor(t2,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(carry,not(xor(t2,or(carry,t2)))),and(not(carry),xor(t2,or(carry,t2)))),xor(carry,xor(t2,or(carry,t2)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_20074,plain,
( or(and(carry,not(xor(t2,or(carry,t2)))),and(not(carry),xor(t2,or(carry,t2)))) != xor(carry,xor(t2,or(carry,t2)))
| or(and(carry,not(xor(t2,or(carry,t2)))),ll0) = xor(carry,xor(t2,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(not(carry),xor(t2,or(carry,t2))),ll0) )],[refute_0_20072,refute_0_20073]) ).
cnf(refute_0_20075,plain,
or(and(carry,not(xor(t2,or(carry,t2)))),ll0) = xor(carry,xor(t2,or(carry,t2))),
inference(resolve,[$cnf( $equal(or(and(carry,not(xor(t2,or(carry,t2)))),and(not(carry),xor(t2,or(carry,t2)))),xor(carry,xor(t2,or(carry,t2)))) )],[refute_0_19789,refute_0_20074]) ).
cnf(refute_0_20076,plain,
or(and(carry,not(xor(t2,or(carry,t2)))),ll0) = and(carry,not(xor(t2,or(carry,t2)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(carry,not(xor(t2,or(carry,t2))))))]]) ).
cnf(refute_0_20077,plain,
( or(and(carry,not(xor(t2,or(carry,t2)))),ll0) != and(carry,not(xor(t2,or(carry,t2))))
| or(and(carry,not(xor(t2,or(carry,t2)))),ll0) != xor(carry,xor(t2,or(carry,t2)))
| and(carry,not(xor(t2,or(carry,t2)))) = xor(carry,xor(t2,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(carry,not(xor(t2,or(carry,t2)))),ll0),xor(carry,xor(t2,or(carry,t2)))) ),[0],$fot(and(carry,not(xor(t2,or(carry,t2)))))]]) ).
cnf(refute_0_20078,plain,
( or(and(carry,not(xor(t2,or(carry,t2)))),ll0) != xor(carry,xor(t2,or(carry,t2)))
| and(carry,not(xor(t2,or(carry,t2)))) = xor(carry,xor(t2,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(or(and(carry,not(xor(t2,or(carry,t2)))),ll0),and(carry,not(xor(t2,or(carry,t2))))) )],[refute_0_20076,refute_0_20077]) ).
cnf(refute_0_20079,plain,
and(carry,not(xor(t2,or(carry,t2)))) = xor(carry,xor(t2,or(carry,t2))),
inference(resolve,[$cnf( $equal(or(and(carry,not(xor(t2,or(carry,t2)))),ll0),xor(carry,xor(t2,or(carry,t2)))) )],[refute_0_20075,refute_0_20078]) ).
cnf(refute_0_20080,plain,
( and(carry,not(xor(t2,or(carry,t2)))) != xor(carry,xor(t2,or(carry,t2)))
| xor(carry,xor(t2,or(carry,t2))) != xor(a,xor(t5,or(carry,t2)))
| and(carry,not(xor(t2,or(carry,t2)))) = xor(a,xor(t5,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(carry,not(xor(t2,or(carry,t2)))),xor(a,xor(t5,or(carry,t2)))) ),[0],$fot(xor(carry,xor(t2,or(carry,t2))))]]) ).
cnf(refute_0_20081,plain,
( and(carry,not(xor(t2,or(carry,t2)))) != xor(carry,xor(t2,or(carry,t2)))
| and(carry,not(xor(t2,or(carry,t2)))) = xor(a,xor(t5,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(t2,or(carry,t2))),xor(a,xor(t5,or(carry,t2)))) )],[refute_0_19757,refute_0_20080]) ).
cnf(refute_0_20082,plain,
and(carry,not(xor(t2,or(carry,t2)))) = xor(a,xor(t5,or(carry,t2))),
inference(resolve,[$cnf( $equal(and(carry,not(xor(t2,or(carry,t2)))),xor(carry,xor(t2,or(carry,t2)))) )],[refute_0_20079,refute_0_20081]) ).
cnf(refute_0_20083,plain,
xor(t2,or(carry,t2)) = xor(t2,or(carry,t2)),
introduced(tautology,[refl,[$fot(xor(t2,or(carry,t2)))]]) ).
cnf(refute_0_20084,plain,
( or(carry,t2) != or(b,t6)
| xor(t2,or(carry,t2)) != xor(t2,or(carry,t2))
| xor(t2,or(carry,t2)) = xor(t2,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,or(carry,t2)),xor(t2,or(carry,t2))) ),[1,1],$fot(or(b,t6))]]) ).
cnf(refute_0_20085,plain,
( or(carry,t2) != or(b,t6)
| xor(t2,or(carry,t2)) = xor(t2,or(b,t6)) ),
inference(resolve,[$cnf( $equal(xor(t2,or(carry,t2)),xor(t2,or(carry,t2))) )],[refute_0_20083,refute_0_20084]) ).
cnf(refute_0_20086,plain,
xor(t2,or(carry,t2)) = xor(t2,or(b,t6)),
inference(resolve,[$cnf( $equal(or(carry,t2),or(b,t6)) )],[refute_0_19502,refute_0_20085]) ).
cnf(refute_0_20087,plain,
not(xor(t2,or(carry,t2))) = not(xor(t2,or(carry,t2))),
introduced(tautology,[refl,[$fot(not(xor(t2,or(carry,t2))))]]) ).
cnf(refute_0_20088,plain,
( not(xor(t2,or(carry,t2))) != not(xor(t2,or(carry,t2)))
| xor(t2,or(carry,t2)) != xor(t2,or(b,t6))
| not(xor(t2,or(carry,t2))) = not(xor(t2,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t2,or(carry,t2))),not(xor(t2,or(carry,t2)))) ),[1,0],$fot(xor(t2,or(b,t6)))]]) ).
cnf(refute_0_20089,plain,
( xor(t2,or(carry,t2)) != xor(t2,or(b,t6))
| not(xor(t2,or(carry,t2))) = not(xor(t2,or(b,t6))) ),
inference(resolve,[$cnf( $equal(not(xor(t2,or(carry,t2))),not(xor(t2,or(carry,t2)))) )],[refute_0_20087,refute_0_20088]) ).
cnf(refute_0_20090,plain,
not(xor(t2,or(carry,t2))) = not(xor(t2,or(b,t6))),
inference(resolve,[$cnf( $equal(xor(t2,or(carry,t2)),xor(t2,or(b,t6))) )],[refute_0_20086,refute_0_20089]) ).
cnf(refute_0_20091,plain,
and(carry,not(xor(t2,or(carry,t2)))) = and(carry,not(xor(t2,or(carry,t2)))),
introduced(tautology,[refl,[$fot(and(carry,not(xor(t2,or(carry,t2)))))]]) ).
cnf(refute_0_20092,plain,
( and(carry,not(xor(t2,or(carry,t2)))) != and(carry,not(xor(t2,or(carry,t2))))
| not(xor(t2,or(carry,t2))) != not(xor(t2,or(b,t6)))
| and(carry,not(xor(t2,or(carry,t2)))) = and(carry,not(xor(t2,or(b,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,not(xor(t2,or(carry,t2)))),and(carry,not(xor(t2,or(carry,t2))))) ),[1,1],$fot(not(xor(t2,or(b,t6))))]]) ).
cnf(refute_0_20093,plain,
( not(xor(t2,or(carry,t2))) != not(xor(t2,or(b,t6)))
| and(carry,not(xor(t2,or(carry,t2)))) = and(carry,not(xor(t2,or(b,t6)))) ),
inference(resolve,[$cnf( $equal(and(carry,not(xor(t2,or(carry,t2)))),and(carry,not(xor(t2,or(carry,t2))))) )],[refute_0_20091,refute_0_20092]) ).
cnf(refute_0_20094,plain,
and(carry,not(xor(t2,or(carry,t2)))) = and(carry,not(xor(t2,or(b,t6)))),
inference(resolve,[$cnf( $equal(not(xor(t2,or(carry,t2))),not(xor(t2,or(b,t6)))) )],[refute_0_20090,refute_0_20093]) ).
cnf(refute_0_20095,plain,
( and(carry,not(xor(t2,or(carry,t2)))) != and(carry,not(xor(t2,or(b,t6))))
| and(carry,not(xor(t2,or(carry,t2)))) != xor(a,xor(t5,or(carry,t2)))
| and(carry,not(xor(t2,or(b,t6)))) = xor(a,xor(t5,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,not(xor(t2,or(carry,t2)))),xor(a,xor(t5,or(carry,t2)))) ),[0],$fot(and(carry,not(xor(t2,or(b,t6)))))]]) ).
cnf(refute_0_20096,plain,
( and(carry,not(xor(t2,or(carry,t2)))) != xor(a,xor(t5,or(carry,t2)))
| and(carry,not(xor(t2,or(b,t6)))) = xor(a,xor(t5,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(carry,not(xor(t2,or(carry,t2)))),and(carry,not(xor(t2,or(b,t6))))) )],[refute_0_20094,refute_0_20095]) ).
cnf(refute_0_20097,plain,
( and(carry,not(xor(t2,or(b,t6)))) != xor(a,xor(t5,or(carry,t2)))
| xor(a,xor(t5,or(carry,t2))) != xor(a,xor(t5,or(b,t6)))
| and(carry,not(xor(t2,or(b,t6)))) = xor(a,xor(t5,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(carry,not(xor(t2,or(b,t6)))),xor(a,xor(t5,or(b,t6)))) ),[0],$fot(xor(a,xor(t5,or(carry,t2))))]]) ).
cnf(refute_0_20098,plain,
( and(carry,not(xor(t2,or(b,t6)))) != xor(a,xor(t5,or(carry,t2)))
| and(carry,not(xor(t2,or(b,t6)))) = xor(a,xor(t5,or(b,t6))) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t5,or(carry,t2))),xor(a,xor(t5,or(b,t6)))) )],[refute_0_19773,refute_0_20097]) ).
cnf(refute_0_20099,plain,
( and(carry,not(xor(t2,or(carry,t2)))) != xor(a,xor(t5,or(carry,t2)))
| and(carry,not(xor(t2,or(b,t6)))) = xor(a,xor(t5,or(b,t6))) ),
inference(resolve,[$cnf( $equal(and(carry,not(xor(t2,or(b,t6)))),xor(a,xor(t5,or(carry,t2)))) )],[refute_0_20096,refute_0_20098]) ).
cnf(refute_0_20100,plain,
and(carry,not(xor(t2,or(b,t6)))) = xor(a,xor(t5,or(b,t6))),
inference(resolve,[$cnf( $equal(and(carry,not(xor(t2,or(carry,t2)))),xor(a,xor(t5,or(carry,t2)))) )],[refute_0_20082,refute_0_20099]) ).
cnf(refute_0_20101,plain,
not(and(or(t6,and(t2,t4)),not(t2))) = not(and(not(t2),or(t6,and(t2,t4)))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(not(t2))),bind(X_32,$fot(or(t6,and(t2,t4))))]]) ).
cnf(refute_0_20102,plain,
or(and(t2,not(or(t6,and(t2,t4)))),and(not(t2),or(t6,and(t2,t4)))) = xor(t2,or(t6,and(t2,t4))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t2)),bind(Y,$fot(or(t6,and(t2,t4))))]]) ).
cnf(refute_0_20103,plain,
and(not(t6),and(t2,xor(t2,t4))) = and(t4,and(not(t6),and(t2,xor(t2,t4)))),
inference(subst,[],[refute_0_12832:[bind(X_222,$fot(and(t2,xor(t2,t4))))]]) ).
cnf(refute_0_20104,plain,
and(and(X_220,t2),and(t4,xor(t2,t4))) = and(X_220,and(t2,and(t4,xor(t2,t4)))),
inference(subst,[],[and_associative:[bind(X,$fot(X_220)),bind(Y,$fot(t2)),bind(Z,$fot(and(t4,xor(t2,t4))))]]) ).
cnf(refute_0_20105,plain,
and(and(t2,t4),not(and(t2,t4))) = ll0,
inference(subst,[],[and_complement:[bind(X,$fot(and(t2,t4)))]]) ).
cnf(refute_0_20106,plain,
( and(and(t2,t4),not(and(t2,t4))) != ll0
| not(and(t2,t4)) != xor(t2,t4)
| and(and(t2,t4),xor(t2,t4)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t2,t4),not(and(t2,t4))),ll0) ),[0,1],$fot(xor(t2,t4))]]) ).
cnf(refute_0_20107,plain,
( and(and(t2,t4),not(and(t2,t4))) != ll0
| and(and(t2,t4),xor(t2,t4)) = ll0 ),
inference(resolve,[$cnf( $equal(not(and(t2,t4)),xor(t2,t4)) )],[refute_0_9570,refute_0_20106]) ).
cnf(refute_0_20108,plain,
and(and(t2,t4),xor(t2,t4)) = ll0,
inference(resolve,[$cnf( $equal(and(and(t2,t4),not(and(t2,t4))),ll0) )],[refute_0_20105,refute_0_20107]) ).
cnf(refute_0_20109,plain,
and(and(t2,t4),xor(t2,t4)) = and(t2,and(t4,xor(t2,t4))),
inference(subst,[],[and_associative:[bind(X,$fot(t2)),bind(Y,$fot(t4)),bind(Z,$fot(xor(t2,t4)))]]) ).
cnf(refute_0_20110,plain,
( and(and(t2,t4),xor(t2,t4)) != and(t2,and(t4,xor(t2,t4)))
| and(and(t2,t4),xor(t2,t4)) != ll0
| and(t2,and(t4,xor(t2,t4))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t2,t4),xor(t2,t4)),ll0) ),[0],$fot(and(t2,and(t4,xor(t2,t4))))]]) ).
cnf(refute_0_20111,plain,
( and(and(t2,t4),xor(t2,t4)) != ll0
| and(t2,and(t4,xor(t2,t4))) = ll0 ),
inference(resolve,[$cnf( $equal(and(and(t2,t4),xor(t2,t4)),and(t2,and(t4,xor(t2,t4)))) )],[refute_0_20109,refute_0_20110]) ).
cnf(refute_0_20112,plain,
and(t2,and(t4,xor(t2,t4))) = ll0,
inference(resolve,[$cnf( $equal(and(and(t2,t4),xor(t2,t4)),ll0) )],[refute_0_20108,refute_0_20111]) ).
cnf(refute_0_20113,plain,
( and(and(X_220,t2),and(t4,xor(t2,t4))) != and(X_220,and(t2,and(t4,xor(t2,t4))))
| and(t2,and(t4,xor(t2,t4))) != ll0
| and(and(X_220,t2),and(t4,xor(t2,t4))) = and(X_220,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X_220,t2),and(t4,xor(t2,t4))),and(X_220,and(t2,and(t4,xor(t2,t4))))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_20114,plain,
( and(and(X_220,t2),and(t4,xor(t2,t4))) != and(X_220,and(t2,and(t4,xor(t2,t4))))
| and(and(X_220,t2),and(t4,xor(t2,t4))) = and(X_220,ll0) ),
inference(resolve,[$cnf( $equal(and(t2,and(t4,xor(t2,t4))),ll0) )],[refute_0_20112,refute_0_20113]) ).
cnf(refute_0_20115,plain,
and(and(X_220,t2),and(t4,xor(t2,t4))) = and(X_220,ll0),
inference(resolve,[$cnf( $equal(and(and(X_220,t2),and(t4,xor(t2,t4))),and(X_220,and(t2,and(t4,xor(t2,t4))))) )],[refute_0_20104,refute_0_20114]) ).
cnf(refute_0_20116,plain,
and(and(X_220,t2),xor(t2,t4)) = and(X_220,and(t2,xor(t2,t4))),
inference(subst,[],[and_associative:[bind(X,$fot(X_220)),bind(Y,$fot(t2)),bind(Z,$fot(xor(t2,t4)))]]) ).
cnf(refute_0_20117,plain,
and(t4,and(and(X_220,t2),xor(t2,t4))) = and(t4,and(and(X_220,t2),xor(t2,t4))),
introduced(tautology,[refl,[$fot(and(t4,and(and(X_220,t2),xor(t2,t4))))]]) ).
cnf(refute_0_20118,plain,
( and(and(X_220,t2),xor(t2,t4)) != and(X_220,and(t2,xor(t2,t4)))
| and(t4,and(and(X_220,t2),xor(t2,t4))) != and(t4,and(and(X_220,t2),xor(t2,t4)))
| and(t4,and(and(X_220,t2),xor(t2,t4))) = and(t4,and(X_220,and(t2,xor(t2,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,and(and(X_220,t2),xor(t2,t4))),and(t4,and(and(X_220,t2),xor(t2,t4)))) ),[1,1],$fot(and(X_220,and(t2,xor(t2,t4))))]]) ).
cnf(refute_0_20119,plain,
( and(and(X_220,t2),xor(t2,t4)) != and(X_220,and(t2,xor(t2,t4)))
| and(t4,and(and(X_220,t2),xor(t2,t4))) = and(t4,and(X_220,and(t2,xor(t2,t4)))) ),
inference(resolve,[$cnf( $equal(and(t4,and(and(X_220,t2),xor(t2,t4))),and(t4,and(and(X_220,t2),xor(t2,t4)))) )],[refute_0_20117,refute_0_20118]) ).
cnf(refute_0_20120,plain,
and(t4,and(and(X_220,t2),xor(t2,t4))) = and(t4,and(X_220,and(t2,xor(t2,t4)))),
inference(resolve,[$cnf( $equal(and(and(X_220,t2),xor(t2,t4)),and(X_220,and(t2,xor(t2,t4)))) )],[refute_0_20116,refute_0_20119]) ).
cnf(refute_0_20121,plain,
and(and(X_220,t2),and(t4,xor(t2,t4))) = and(t4,and(and(X_220,t2),xor(t2,t4))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(and(X_220,t2))),bind(X_221,$fot(t4)),bind(X_222,$fot(xor(t2,t4)))]]) ).
cnf(refute_0_20122,plain,
( and(and(X_220,t2),and(t4,xor(t2,t4))) != and(t4,and(and(X_220,t2),xor(t2,t4)))
| and(t4,and(and(X_220,t2),xor(t2,t4))) != and(t4,and(X_220,and(t2,xor(t2,t4))))
| and(and(X_220,t2),and(t4,xor(t2,t4))) = and(t4,and(X_220,and(t2,xor(t2,t4)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(X_220,t2),and(t4,xor(t2,t4))))),bind(Y0,$fot(and(t4,and(and(X_220,t2),xor(t2,t4))))),bind(Z0,$fot(and(t4,and(X_220,and(t2,xor(t2,t4))))))]]) ).
cnf(refute_0_20123,plain,
( and(t4,and(and(X_220,t2),xor(t2,t4))) != and(t4,and(X_220,and(t2,xor(t2,t4))))
| and(and(X_220,t2),and(t4,xor(t2,t4))) = and(t4,and(X_220,and(t2,xor(t2,t4)))) ),
inference(resolve,[$cnf( $equal(and(and(X_220,t2),and(t4,xor(t2,t4))),and(t4,and(and(X_220,t2),xor(t2,t4)))) )],[refute_0_20121,refute_0_20122]) ).
cnf(refute_0_20124,plain,
and(and(X_220,t2),and(t4,xor(t2,t4))) = and(t4,and(X_220,and(t2,xor(t2,t4)))),
inference(resolve,[$cnf( $equal(and(t4,and(and(X_220,t2),xor(t2,t4))),and(t4,and(X_220,and(t2,xor(t2,t4))))) )],[refute_0_20120,refute_0_20123]) ).
cnf(refute_0_20125,plain,
( and(and(X_220,t2),and(t4,xor(t2,t4))) != and(X_220,ll0)
| and(and(X_220,t2),and(t4,xor(t2,t4))) != and(t4,and(X_220,and(t2,xor(t2,t4))))
| and(t4,and(X_220,and(t2,xor(t2,t4)))) = and(X_220,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X_220,t2),and(t4,xor(t2,t4))),and(X_220,ll0)) ),[0],$fot(and(t4,and(X_220,and(t2,xor(t2,t4)))))]]) ).
cnf(refute_0_20126,plain,
( and(and(X_220,t2),and(t4,xor(t2,t4))) != and(X_220,ll0)
| and(t4,and(X_220,and(t2,xor(t2,t4)))) = and(X_220,ll0) ),
inference(resolve,[$cnf( $equal(and(and(X_220,t2),and(t4,xor(t2,t4))),and(t4,and(X_220,and(t2,xor(t2,t4))))) )],[refute_0_20124,refute_0_20125]) ).
cnf(refute_0_20127,plain,
( and(X_220,ll0) != ll0
| and(t4,and(X_220,and(t2,xor(t2,t4)))) != and(X_220,ll0)
| and(t4,and(X_220,and(t2,xor(t2,t4)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,and(X_220,and(t2,xor(t2,t4)))),and(X_220,ll0)) ),[1],$fot(ll0)]]) ).
cnf(refute_0_20128,plain,
( and(t4,and(X_220,and(t2,xor(t2,t4)))) != and(X_220,ll0)
| and(t4,and(X_220,and(t2,xor(t2,t4)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(X_220,ll0),ll0) )],[refute_0_3381,refute_0_20127]) ).
cnf(refute_0_20129,plain,
( and(and(X_220,t2),and(t4,xor(t2,t4))) != and(X_220,ll0)
| and(t4,and(X_220,and(t2,xor(t2,t4)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(t4,and(X_220,and(t2,xor(t2,t4)))),and(X_220,ll0)) )],[refute_0_20126,refute_0_20128]) ).
cnf(refute_0_20130,plain,
and(t4,and(X_220,and(t2,xor(t2,t4)))) = ll0,
inference(resolve,[$cnf( $equal(and(and(X_220,t2),and(t4,xor(t2,t4))),and(X_220,ll0)) )],[refute_0_20115,refute_0_20129]) ).
cnf(refute_0_20131,plain,
and(t4,and(not(t6),and(t2,xor(t2,t4)))) = ll0,
inference(subst,[],[refute_0_20130:[bind(X_220,$fot(not(t6)))]]) ).
cnf(refute_0_20132,plain,
( and(not(t6),and(t2,xor(t2,t4))) != and(t4,and(not(t6),and(t2,xor(t2,t4))))
| and(t4,and(not(t6),and(t2,xor(t2,t4)))) != ll0
| and(not(t6),and(t2,xor(t2,t4))) = ll0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(t6),and(t2,xor(t2,t4))),ll0) ),[0],$fot(and(t4,and(not(t6),and(t2,xor(t2,t4)))))]]) ).
cnf(refute_0_20133,plain,
( and(not(t6),and(t2,xor(t2,t4))) != and(t4,and(not(t6),and(t2,xor(t2,t4))))
| and(not(t6),and(t2,xor(t2,t4))) = ll0 ),
inference(resolve,[$cnf( $equal(and(t4,and(not(t6),and(t2,xor(t2,t4)))),ll0) )],[refute_0_20131,refute_0_20132]) ).
cnf(refute_0_20134,plain,
and(not(t6),and(t2,xor(t2,t4))) = ll0,
inference(resolve,[$cnf( $equal(and(not(t6),and(t2,xor(t2,t4))),and(t4,and(not(t6),and(t2,xor(t2,t4))))) )],[refute_0_20103,refute_0_20133]) ).
cnf(refute_0_20135,plain,
not(or(X,and(t2,t4))) = and(not(X),not(and(t2,t4))),
inference(subst,[],[or_demorgan:[bind(Y,$fot(and(t2,t4)))]]) ).
cnf(refute_0_20136,plain,
( not(and(t2,t4)) != xor(t2,t4)
| not(or(X,and(t2,t4))) != and(not(X),not(and(t2,t4)))
| not(or(X,and(t2,t4))) = and(not(X),xor(t2,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,and(t2,t4))),and(not(X),not(and(t2,t4)))) ),[1,1],$fot(xor(t2,t4))]]) ).
cnf(refute_0_20137,plain,
( not(or(X,and(t2,t4))) != and(not(X),not(and(t2,t4)))
| not(or(X,and(t2,t4))) = and(not(X),xor(t2,t4)) ),
inference(resolve,[$cnf( $equal(not(and(t2,t4)),xor(t2,t4)) )],[refute_0_9570,refute_0_20136]) ).
cnf(refute_0_20138,plain,
not(or(X,and(t2,t4))) = and(not(X),xor(t2,t4)),
inference(resolve,[$cnf( $equal(not(or(X,and(t2,t4))),and(not(X),not(and(t2,t4)))) )],[refute_0_20135,refute_0_20137]) ).
cnf(refute_0_20139,plain,
( not(or(X,and(t2,t4))) != and(not(X),xor(t2,t4))
| and(not(X),xor(t2,t4)) = not(or(X,and(t2,t4))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X,and(t2,t4))))),bind(Y0,$fot(and(not(X),xor(t2,t4))))]]) ).
cnf(refute_0_20140,plain,
and(not(X),xor(t2,t4)) = not(or(X,and(t2,t4))),
inference(resolve,[$cnf( $equal(not(or(X,and(t2,t4))),and(not(X),xor(t2,t4))) )],[refute_0_20138,refute_0_20139]) ).
cnf(refute_0_20141,plain,
and(not(t6),xor(t2,t4)) = not(or(t6,and(t2,t4))),
inference(subst,[],[refute_0_20140:[bind(X,$fot(t6))]]) ).
cnf(refute_0_20142,plain,
and(t2,and(not(t6),xor(t2,t4))) = and(t2,and(not(t6),xor(t2,t4))),
introduced(tautology,[refl,[$fot(and(t2,and(not(t6),xor(t2,t4))))]]) ).
cnf(refute_0_20143,plain,
( and(not(t6),xor(t2,t4)) != not(or(t6,and(t2,t4)))
| and(t2,and(not(t6),xor(t2,t4))) != and(t2,and(not(t6),xor(t2,t4)))
| and(t2,and(not(t6),xor(t2,t4))) = and(t2,not(or(t6,and(t2,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,and(not(t6),xor(t2,t4))),and(t2,and(not(t6),xor(t2,t4)))) ),[1,1],$fot(not(or(t6,and(t2,t4))))]]) ).
cnf(refute_0_20144,plain,
( and(not(t6),xor(t2,t4)) != not(or(t6,and(t2,t4)))
| and(t2,and(not(t6),xor(t2,t4))) = and(t2,not(or(t6,and(t2,t4)))) ),
inference(resolve,[$cnf( $equal(and(t2,and(not(t6),xor(t2,t4))),and(t2,and(not(t6),xor(t2,t4)))) )],[refute_0_20142,refute_0_20143]) ).
cnf(refute_0_20145,plain,
and(t2,and(not(t6),xor(t2,t4))) = and(t2,not(or(t6,and(t2,t4)))),
inference(resolve,[$cnf( $equal(and(not(t6),xor(t2,t4)),not(or(t6,and(t2,t4)))) )],[refute_0_20141,refute_0_20144]) ).
cnf(refute_0_20146,plain,
and(not(t6),and(t2,xor(t2,t4))) = and(t2,and(not(t6),xor(t2,t4))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(t6))),bind(X_221,$fot(t2)),bind(X_222,$fot(xor(t2,t4)))]]) ).
cnf(refute_0_20147,plain,
( and(not(t6),and(t2,xor(t2,t4))) != and(t2,and(not(t6),xor(t2,t4)))
| and(t2,and(not(t6),xor(t2,t4))) != and(t2,not(or(t6,and(t2,t4))))
| and(not(t6),and(t2,xor(t2,t4))) = and(t2,not(or(t6,and(t2,t4)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t6),and(t2,xor(t2,t4))))),bind(Y0,$fot(and(t2,and(not(t6),xor(t2,t4))))),bind(Z0,$fot(and(t2,not(or(t6,and(t2,t4))))))]]) ).
cnf(refute_0_20148,plain,
( and(t2,and(not(t6),xor(t2,t4))) != and(t2,not(or(t6,and(t2,t4))))
| and(not(t6),and(t2,xor(t2,t4))) = and(t2,not(or(t6,and(t2,t4)))) ),
inference(resolve,[$cnf( $equal(and(not(t6),and(t2,xor(t2,t4))),and(t2,and(not(t6),xor(t2,t4)))) )],[refute_0_20146,refute_0_20147]) ).
cnf(refute_0_20149,plain,
and(not(t6),and(t2,xor(t2,t4))) = and(t2,not(or(t6,and(t2,t4)))),
inference(resolve,[$cnf( $equal(and(t2,and(not(t6),xor(t2,t4))),and(t2,not(or(t6,and(t2,t4))))) )],[refute_0_20145,refute_0_20148]) ).
cnf(refute_0_20150,plain,
( and(not(t6),and(t2,xor(t2,t4))) != and(t2,not(or(t6,and(t2,t4))))
| and(not(t6),and(t2,xor(t2,t4))) != ll0
| and(t2,not(or(t6,and(t2,t4)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),and(t2,xor(t2,t4))),ll0) ),[0],$fot(and(t2,not(or(t6,and(t2,t4)))))]]) ).
cnf(refute_0_20151,plain,
( and(not(t6),and(t2,xor(t2,t4))) != ll0
| and(t2,not(or(t6,and(t2,t4)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(not(t6),and(t2,xor(t2,t4))),and(t2,not(or(t6,and(t2,t4))))) )],[refute_0_20149,refute_0_20150]) ).
cnf(refute_0_20152,plain,
and(t2,not(or(t6,and(t2,t4)))) = ll0,
inference(resolve,[$cnf( $equal(and(not(t6),and(t2,xor(t2,t4))),ll0) )],[refute_0_20134,refute_0_20151]) ).
cnf(refute_0_20153,plain,
( and(t2,not(or(t6,and(t2,t4)))) != ll0
| or(and(t2,not(or(t6,and(t2,t4)))),and(not(t2),or(t6,and(t2,t4)))) != xor(t2,or(t6,and(t2,t4)))
| or(ll0,and(not(t2),or(t6,and(t2,t4)))) = xor(t2,or(t6,and(t2,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t2,not(or(t6,and(t2,t4)))),and(not(t2),or(t6,and(t2,t4)))),xor(t2,or(t6,and(t2,t4)))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_20154,plain,
( or(and(t2,not(or(t6,and(t2,t4)))),and(not(t2),or(t6,and(t2,t4)))) != xor(t2,or(t6,and(t2,t4)))
| or(ll0,and(not(t2),or(t6,and(t2,t4)))) = xor(t2,or(t6,and(t2,t4))) ),
inference(resolve,[$cnf( $equal(and(t2,not(or(t6,and(t2,t4)))),ll0) )],[refute_0_20152,refute_0_20153]) ).
cnf(refute_0_20155,plain,
or(ll0,and(not(t2),or(t6,and(t2,t4)))) = xor(t2,or(t6,and(t2,t4))),
inference(resolve,[$cnf( $equal(or(and(t2,not(or(t6,and(t2,t4)))),and(not(t2),or(t6,and(t2,t4)))),xor(t2,or(t6,and(t2,t4)))) )],[refute_0_20102,refute_0_20154]) ).
cnf(refute_0_20156,plain,
or(ll0,and(not(t2),or(t6,and(t2,t4)))) = and(not(t2),or(t6,and(t2,t4))),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(t2),or(t6,and(t2,t4)))))]]) ).
cnf(refute_0_20157,plain,
( or(ll0,and(not(t2),or(t6,and(t2,t4)))) != and(not(t2),or(t6,and(t2,t4)))
| or(ll0,and(not(t2),or(t6,and(t2,t4)))) != xor(t2,or(t6,and(t2,t4)))
| and(not(t2),or(t6,and(t2,t4))) = xor(t2,or(t6,and(t2,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(t2),or(t6,and(t2,t4)))),xor(t2,or(t6,and(t2,t4)))) ),[0],$fot(and(not(t2),or(t6,and(t2,t4))))]]) ).
cnf(refute_0_20158,plain,
( or(ll0,and(not(t2),or(t6,and(t2,t4)))) != xor(t2,or(t6,and(t2,t4)))
| and(not(t2),or(t6,and(t2,t4))) = xor(t2,or(t6,and(t2,t4))) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t2),or(t6,and(t2,t4)))),and(not(t2),or(t6,and(t2,t4)))) )],[refute_0_20156,refute_0_20157]) ).
cnf(refute_0_20159,plain,
and(not(t2),or(t6,and(t2,t4))) = xor(t2,or(t6,and(t2,t4))),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t2),or(t6,and(t2,t4)))),xor(t2,or(t6,and(t2,t4)))) )],[refute_0_20155,refute_0_20158]) ).
cnf(refute_0_20160,plain,
( and(not(t2),or(t6,and(t2,t4))) != xor(t2,or(t6,and(t2,t4)))
| not(and(or(t6,and(t2,t4)),not(t2))) != not(and(not(t2),or(t6,and(t2,t4))))
| not(and(or(t6,and(t2,t4)),not(t2))) = not(xor(t2,or(t6,and(t2,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(t6,and(t2,t4)),not(t2))),not(and(not(t2),or(t6,and(t2,t4))))) ),[1,0],$fot(xor(t2,or(t6,and(t2,t4))))]]) ).
cnf(refute_0_20161,plain,
( not(and(or(t6,and(t2,t4)),not(t2))) != not(and(not(t2),or(t6,and(t2,t4))))
| not(and(or(t6,and(t2,t4)),not(t2))) = not(xor(t2,or(t6,and(t2,t4)))) ),
inference(resolve,[$cnf( $equal(and(not(t2),or(t6,and(t2,t4))),xor(t2,or(t6,and(t2,t4)))) )],[refute_0_20159,refute_0_20160]) ).
cnf(refute_0_20162,plain,
not(and(or(t6,and(t2,t4)),not(t2))) = not(xor(t2,or(t6,and(t2,t4)))),
inference(resolve,[$cnf( $equal(not(and(or(t6,and(t2,t4)),not(t2))),not(and(not(t2),or(t6,and(t2,t4))))) )],[refute_0_20101,refute_0_20161]) ).
cnf(refute_0_20163,plain,
not(and(not(t2),or(t6,and(t2,t4)))) = or(t2,not(or(t6,and(t2,t4)))),
inference(subst,[],[refute_0_787:[bind(X,$fot(t2)),bind(X_32,$fot(or(t6,and(t2,t4))))]]) ).
cnf(refute_0_20164,plain,
( not(and(not(t2),or(t6,and(t2,t4)))) != or(t2,not(or(t6,and(t2,t4))))
| not(and(or(t6,and(t2,t4)),not(t2))) != not(and(not(t2),or(t6,and(t2,t4))))
| not(and(or(t6,and(t2,t4)),not(t2))) = or(t2,not(or(t6,and(t2,t4)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(or(t6,and(t2,t4)),not(t2))))),bind(Y0,$fot(not(and(not(t2),or(t6,and(t2,t4)))))),bind(Z0,$fot(or(t2,not(or(t6,and(t2,t4))))))]]) ).
cnf(refute_0_20165,plain,
( not(and(not(t2),or(t6,and(t2,t4)))) != or(t2,not(or(t6,and(t2,t4))))
| not(and(or(t6,and(t2,t4)),not(t2))) = or(t2,not(or(t6,and(t2,t4)))) ),
inference(resolve,[$cnf( $equal(not(and(or(t6,and(t2,t4)),not(t2))),not(and(not(t2),or(t6,and(t2,t4))))) )],[refute_0_20101,refute_0_20164]) ).
cnf(refute_0_20166,plain,
not(and(or(t6,and(t2,t4)),not(t2))) = or(t2,not(or(t6,and(t2,t4)))),
inference(resolve,[$cnf( $equal(not(and(not(t2),or(t6,and(t2,t4)))),or(t2,not(or(t6,and(t2,t4))))) )],[refute_0_20163,refute_0_20165]) ).
cnf(refute_0_20167,plain,
( not(and(or(t6,and(t2,t4)),not(t2))) != not(xor(t2,or(t6,and(t2,t4))))
| not(and(or(t6,and(t2,t4)),not(t2))) != or(t2,not(or(t6,and(t2,t4))))
| or(t2,not(or(t6,and(t2,t4)))) = not(xor(t2,or(t6,and(t2,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(t6,and(t2,t4)),not(t2))),not(xor(t2,or(t6,and(t2,t4))))) ),[0],$fot(or(t2,not(or(t6,and(t2,t4)))))]]) ).
cnf(refute_0_20168,plain,
( not(and(or(t6,and(t2,t4)),not(t2))) != not(xor(t2,or(t6,and(t2,t4))))
| or(t2,not(or(t6,and(t2,t4)))) = not(xor(t2,or(t6,and(t2,t4)))) ),
inference(resolve,[$cnf( $equal(not(and(or(t6,and(t2,t4)),not(t2))),or(t2,not(or(t6,and(t2,t4))))) )],[refute_0_20166,refute_0_20167]) ).
cnf(refute_0_20169,plain,
or(t2,not(or(t6,and(t2,t4)))) = not(xor(t2,or(t6,and(t2,t4)))),
inference(resolve,[$cnf( $equal(not(and(or(t6,and(t2,t4)),not(t2))),not(xor(t2,or(t6,and(t2,t4))))) )],[refute_0_20162,refute_0_20168]) ).
cnf(refute_0_20170,plain,
and(not(t6),t3) = and(t3,not(t6)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t3)),bind(Y,$fot(not(t6)))]]) ).
cnf(refute_0_20171,plain,
not(or(t6,not(t3))) = and(not(t6),t3),
inference(subst,[],[refute_0_801:[bind(X,$fot(t3)),bind(X_25,$fot(t6))]]) ).
cnf(refute_0_20172,plain,
( and(not(t6),t3) != and(t3,not(t6))
| not(or(t6,not(t3))) != and(not(t6),t3)
| not(or(t6,not(t3))) = and(t3,not(t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(t6,not(t3))))),bind(Y0,$fot(and(not(t6),t3))),bind(Z0,$fot(and(t3,not(t6))))]]) ).
cnf(refute_0_20173,plain,
( and(not(t6),t3) != and(t3,not(t6))
| not(or(t6,not(t3))) = and(t3,not(t6)) ),
inference(resolve,[$cnf( $equal(not(or(t6,not(t3))),and(not(t6),t3)) )],[refute_0_20171,refute_0_20172]) ).
cnf(refute_0_20174,plain,
not(or(t6,not(t3))) = and(t3,not(t6)),
inference(resolve,[$cnf( $equal(and(not(t6),t3),and(t3,not(t6))) )],[refute_0_20170,refute_0_20173]) ).
cnf(refute_0_20175,plain,
or(t6,and(t2,t4)) = or(t6,and(t2,t4)),
introduced(tautology,[refl,[$fot(or(t6,and(t2,t4)))]]) ).
cnf(refute_0_20176,plain,
( and(t2,t4) != not(t3)
| or(t6,and(t2,t4)) != or(t6,and(t2,t4))
| or(t6,and(t2,t4)) = or(t6,not(t3)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,and(t2,t4)),or(t6,and(t2,t4))) ),[1,1],$fot(not(t3))]]) ).
cnf(refute_0_20177,plain,
( and(t2,t4) != not(t3)
| or(t6,and(t2,t4)) = or(t6,not(t3)) ),
inference(resolve,[$cnf( $equal(or(t6,and(t2,t4)),or(t6,and(t2,t4))) )],[refute_0_20175,refute_0_20176]) ).
cnf(refute_0_20178,plain,
or(t6,and(t2,t4)) = or(t6,not(t3)),
inference(resolve,[$cnf( $equal(and(t2,t4),not(t3)) )],[refute_0_9619,refute_0_20177]) ).
cnf(refute_0_20179,plain,
not(or(t6,and(t2,t4))) = not(or(t6,and(t2,t4))),
introduced(tautology,[refl,[$fot(not(or(t6,and(t2,t4))))]]) ).
cnf(refute_0_20180,plain,
( not(or(t6,and(t2,t4))) != not(or(t6,and(t2,t4)))
| or(t6,and(t2,t4)) != or(t6,not(t3))
| not(or(t6,and(t2,t4))) = not(or(t6,not(t3))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t6,and(t2,t4))),not(or(t6,and(t2,t4)))) ),[1,0],$fot(or(t6,not(t3)))]]) ).
cnf(refute_0_20181,plain,
( or(t6,and(t2,t4)) != or(t6,not(t3))
| not(or(t6,and(t2,t4))) = not(or(t6,not(t3))) ),
inference(resolve,[$cnf( $equal(not(or(t6,and(t2,t4))),not(or(t6,and(t2,t4)))) )],[refute_0_20179,refute_0_20180]) ).
cnf(refute_0_20182,plain,
not(or(t6,and(t2,t4))) = not(or(t6,not(t3))),
inference(resolve,[$cnf( $equal(or(t6,and(t2,t4)),or(t6,not(t3))) )],[refute_0_20178,refute_0_20181]) ).
cnf(refute_0_20183,plain,
( not(or(t6,and(t2,t4))) != not(or(t6,not(t3)))
| not(or(t6,not(t3))) != and(t3,not(t6))
| not(or(t6,and(t2,t4))) = and(t3,not(t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(t6,and(t2,t4))))),bind(Y0,$fot(not(or(t6,not(t3))))),bind(Z0,$fot(and(t3,not(t6))))]]) ).
cnf(refute_0_20184,plain,
( not(or(t6,not(t3))) != and(t3,not(t6))
| not(or(t6,and(t2,t4))) = and(t3,not(t6)) ),
inference(resolve,[$cnf( $equal(not(or(t6,and(t2,t4))),not(or(t6,not(t3)))) )],[refute_0_20182,refute_0_20183]) ).
cnf(refute_0_20185,plain,
not(or(t6,and(t2,t4))) = and(t3,not(t6)),
inference(resolve,[$cnf( $equal(not(or(t6,not(t3))),and(t3,not(t6))) )],[refute_0_20174,refute_0_20184]) ).
cnf(refute_0_20186,plain,
or(t2,not(or(t6,and(t2,t4)))) = or(t2,not(or(t6,and(t2,t4)))),
introduced(tautology,[refl,[$fot(or(t2,not(or(t6,and(t2,t4)))))]]) ).
cnf(refute_0_20187,plain,
( not(or(t6,and(t2,t4))) != and(t3,not(t6))
| or(t2,not(or(t6,and(t2,t4)))) != or(t2,not(or(t6,and(t2,t4))))
| or(t2,not(or(t6,and(t2,t4)))) = or(t2,and(t3,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,not(or(t6,and(t2,t4)))),or(t2,not(or(t6,and(t2,t4))))) ),[1,1],$fot(and(t3,not(t6)))]]) ).
cnf(refute_0_20188,plain,
( not(or(t6,and(t2,t4))) != and(t3,not(t6))
| or(t2,not(or(t6,and(t2,t4)))) = or(t2,and(t3,not(t6))) ),
inference(resolve,[$cnf( $equal(or(t2,not(or(t6,and(t2,t4)))),or(t2,not(or(t6,and(t2,t4))))) )],[refute_0_20186,refute_0_20187]) ).
cnf(refute_0_20189,plain,
or(t2,not(or(t6,and(t2,t4)))) = or(t2,and(t3,not(t6))),
inference(resolve,[$cnf( $equal(not(or(t6,and(t2,t4))),and(t3,not(t6))) )],[refute_0_20185,refute_0_20188]) ).
cnf(refute_0_20190,plain,
( or(t2,not(or(t6,and(t2,t4)))) != not(xor(t2,or(t6,and(t2,t4))))
| or(t2,not(or(t6,and(t2,t4)))) != or(t2,and(t3,not(t6)))
| or(t2,and(t3,not(t6))) = not(xor(t2,or(t6,and(t2,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,not(or(t6,and(t2,t4)))),not(xor(t2,or(t6,and(t2,t4))))) ),[0],$fot(or(t2,and(t3,not(t6))))]]) ).
cnf(refute_0_20191,plain,
( or(t2,not(or(t6,and(t2,t4)))) != not(xor(t2,or(t6,and(t2,t4))))
| or(t2,and(t3,not(t6))) = not(xor(t2,or(t6,and(t2,t4)))) ),
inference(resolve,[$cnf( $equal(or(t2,not(or(t6,and(t2,t4)))),or(t2,and(t3,not(t6)))) )],[refute_0_20189,refute_0_20190]) ).
cnf(refute_0_20192,plain,
xor(t2,or(t6,and(t2,t4))) = xor(t2,or(t6,and(t2,t4))),
introduced(tautology,[refl,[$fot(xor(t2,or(t6,and(t2,t4))))]]) ).
cnf(refute_0_20193,plain,
( or(t6,and(t2,t4)) != or(t6,not(t3))
| xor(t2,or(t6,and(t2,t4))) != xor(t2,or(t6,and(t2,t4)))
| xor(t2,or(t6,and(t2,t4))) = xor(t2,or(t6,not(t3))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,or(t6,and(t2,t4))),xor(t2,or(t6,and(t2,t4)))) ),[1,1],$fot(or(t6,not(t3)))]]) ).
cnf(refute_0_20194,plain,
( or(t6,and(t2,t4)) != or(t6,not(t3))
| xor(t2,or(t6,and(t2,t4))) = xor(t2,or(t6,not(t3))) ),
inference(resolve,[$cnf( $equal(xor(t2,or(t6,and(t2,t4))),xor(t2,or(t6,and(t2,t4)))) )],[refute_0_20192,refute_0_20193]) ).
cnf(refute_0_20195,plain,
xor(t2,or(t6,and(t2,t4))) = xor(t2,or(t6,not(t3))),
inference(resolve,[$cnf( $equal(or(t6,and(t2,t4)),or(t6,not(t3))) )],[refute_0_20178,refute_0_20194]) ).
cnf(refute_0_20196,plain,
not(xor(t2,or(t6,and(t2,t4)))) = not(xor(t2,or(t6,and(t2,t4)))),
introduced(tautology,[refl,[$fot(not(xor(t2,or(t6,and(t2,t4)))))]]) ).
cnf(refute_0_20197,plain,
( not(xor(t2,or(t6,and(t2,t4)))) != not(xor(t2,or(t6,and(t2,t4))))
| xor(t2,or(t6,and(t2,t4))) != xor(t2,or(t6,not(t3)))
| not(xor(t2,or(t6,and(t2,t4)))) = not(xor(t2,or(t6,not(t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t2,or(t6,and(t2,t4)))),not(xor(t2,or(t6,and(t2,t4))))) ),[1,0],$fot(xor(t2,or(t6,not(t3))))]]) ).
cnf(refute_0_20198,plain,
( xor(t2,or(t6,and(t2,t4))) != xor(t2,or(t6,not(t3)))
| not(xor(t2,or(t6,and(t2,t4)))) = not(xor(t2,or(t6,not(t3)))) ),
inference(resolve,[$cnf( $equal(not(xor(t2,or(t6,and(t2,t4)))),not(xor(t2,or(t6,and(t2,t4))))) )],[refute_0_20196,refute_0_20197]) ).
cnf(refute_0_20199,plain,
not(xor(t2,or(t6,and(t2,t4)))) = not(xor(t2,or(t6,not(t3)))),
inference(resolve,[$cnf( $equal(xor(t2,or(t6,and(t2,t4))),xor(t2,or(t6,not(t3)))) )],[refute_0_20195,refute_0_20198]) ).
cnf(refute_0_20200,plain,
( not(xor(t2,or(t6,and(t2,t4)))) != not(xor(t2,or(t6,not(t3))))
| or(t2,and(t3,not(t6))) != not(xor(t2,or(t6,and(t2,t4))))
| or(t2,and(t3,not(t6))) = not(xor(t2,or(t6,not(t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,and(t3,not(t6))),not(xor(t2,or(t6,and(t2,t4))))) ),[1],$fot(not(xor(t2,or(t6,not(t3)))))]]) ).
cnf(refute_0_20201,plain,
( or(t2,and(t3,not(t6))) != not(xor(t2,or(t6,and(t2,t4))))
| or(t2,and(t3,not(t6))) = not(xor(t2,or(t6,not(t3)))) ),
inference(resolve,[$cnf( $equal(not(xor(t2,or(t6,and(t2,t4)))),not(xor(t2,or(t6,not(t3))))) )],[refute_0_20199,refute_0_20200]) ).
cnf(refute_0_20202,plain,
( or(t2,not(or(t6,and(t2,t4)))) != not(xor(t2,or(t6,and(t2,t4))))
| or(t2,and(t3,not(t6))) = not(xor(t2,or(t6,not(t3)))) ),
inference(resolve,[$cnf( $equal(or(t2,and(t3,not(t6))),not(xor(t2,or(t6,and(t2,t4))))) )],[refute_0_20191,refute_0_20201]) ).
cnf(refute_0_20203,plain,
or(t2,and(t3,not(t6))) = not(xor(t2,or(t6,not(t3)))),
inference(resolve,[$cnf( $equal(or(t2,not(or(t6,and(t2,t4)))),not(xor(t2,or(t6,and(t2,t4))))) )],[refute_0_20169,refute_0_20202]) ).
cnf(refute_0_20204,plain,
xor(t2,and(not(t6),t3)) = xor(t2,and(not(t6),t3)),
introduced(tautology,[refl,[$fot(xor(t2,and(not(t6),t3)))]]) ).
cnf(refute_0_20205,plain,
( and(not(t6),t3) != and(t3,not(t6))
| xor(t2,and(not(t6),t3)) != xor(t2,and(not(t6),t3))
| xor(t2,and(not(t6),t3)) = xor(t2,and(t3,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,and(not(t6),t3)),xor(t2,and(not(t6),t3))) ),[1,1],$fot(and(t3,not(t6)))]]) ).
cnf(refute_0_20206,plain,
( and(not(t6),t3) != and(t3,not(t6))
| xor(t2,and(not(t6),t3)) = xor(t2,and(t3,not(t6))) ),
inference(resolve,[$cnf( $equal(xor(t2,and(not(t6),t3)),xor(t2,and(not(t6),t3))) )],[refute_0_20204,refute_0_20205]) ).
cnf(refute_0_20207,plain,
xor(t2,and(not(t6),t3)) = xor(t2,and(t3,not(t6))),
inference(resolve,[$cnf( $equal(and(not(t6),t3),and(t3,not(t6))) )],[refute_0_20170,refute_0_20206]) ).
cnf(refute_0_20208,plain,
not(xor(t2,or(t6,not(t3)))) = xor(t2,and(not(t6),t3)),
inference(subst,[],[refute_0_7796:[bind(X,$fot(t3)),bind(X_25,$fot(t6)),bind(X_377,$fot(t2))]]) ).
cnf(refute_0_20209,plain,
( not(xor(t2,or(t6,not(t3)))) != xor(t2,and(not(t6),t3))
| xor(t2,and(not(t6),t3)) != xor(t2,and(t3,not(t6)))
| not(xor(t2,or(t6,not(t3)))) = xor(t2,and(t3,not(t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t2,or(t6,not(t3)))))),bind(Y0,$fot(xor(t2,and(not(t6),t3)))),bind(Z0,$fot(xor(t2,and(t3,not(t6)))))]]) ).
cnf(refute_0_20210,plain,
( xor(t2,and(not(t6),t3)) != xor(t2,and(t3,not(t6)))
| not(xor(t2,or(t6,not(t3)))) = xor(t2,and(t3,not(t6))) ),
inference(resolve,[$cnf( $equal(not(xor(t2,or(t6,not(t3)))),xor(t2,and(not(t6),t3))) )],[refute_0_20208,refute_0_20209]) ).
cnf(refute_0_20211,plain,
not(xor(t2,or(t6,not(t3)))) = xor(t2,and(t3,not(t6))),
inference(resolve,[$cnf( $equal(xor(t2,and(not(t6),t3)),xor(t2,and(t3,not(t6)))) )],[refute_0_20207,refute_0_20210]) ).
cnf(refute_0_20212,plain,
( not(xor(t2,or(t6,not(t3)))) != xor(t2,and(t3,not(t6)))
| or(t2,and(t3,not(t6))) != not(xor(t2,or(t6,not(t3))))
| or(t2,and(t3,not(t6))) = xor(t2,and(t3,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,and(t3,not(t6))),not(xor(t2,or(t6,not(t3))))) ),[1],$fot(xor(t2,and(t3,not(t6))))]]) ).
cnf(refute_0_20213,plain,
( or(t2,and(t3,not(t6))) != not(xor(t2,or(t6,not(t3))))
| or(t2,and(t3,not(t6))) = xor(t2,and(t3,not(t6))) ),
inference(resolve,[$cnf( $equal(not(xor(t2,or(t6,not(t3)))),xor(t2,and(t3,not(t6)))) )],[refute_0_20211,refute_0_20212]) ).
cnf(refute_0_20214,plain,
or(t2,and(t3,not(t6))) = xor(t2,and(t3,not(t6))),
inference(resolve,[$cnf( $equal(or(t2,and(t3,not(t6))),not(xor(t2,or(t6,not(t3))))) )],[refute_0_20203,refute_0_20213]) ).
cnf(refute_0_20215,plain,
xor(t4,xor(t4,or(t2,and(t3,not(t6))))) = or(t2,and(t3,not(t6))),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(t4)),bind(X_335,$fot(or(t2,and(t3,not(t6)))))]]) ).
cnf(refute_0_20216,plain,
xor(a,xor(b,or(t2,and(t3,not(t6))))) = xor(t4,or(t2,and(t3,not(t6)))),
inference(subst,[],[refute_0_5949:[bind(Z,$fot(or(t2,and(t3,not(t6)))))]]) ).
cnf(refute_0_20217,plain,
xor(t1,xor(t3,or(t2,and(t3,not(t6))))) = xor(b,or(t2,and(t3,not(t6)))),
inference(subst,[],[refute_0_8856:[bind(Z,$fot(or(t2,and(t3,not(t6)))))]]) ).
cnf(refute_0_20218,plain,
not(and(t3,not(and(a,X_71)))) = or(not(t3),not(not(and(a,X_71)))),
inference(subst,[],[and_demorgan:[bind(X,$fot(t3)),bind(Y,$fot(not(and(a,X_71))))]]) ).
cnf(refute_0_20219,plain,
and(t3,not(and(a,X_71))) = xor(t3,and(a,X_71)),
inference(subst,[],[refute_0_1693:[bind(X_42,$fot(X_71))]]) ).
cnf(refute_0_20220,plain,
( and(t3,not(and(a,X_71))) != xor(t3,and(a,X_71))
| not(and(t3,not(and(a,X_71)))) != or(not(t3),not(not(and(a,X_71))))
| not(xor(t3,and(a,X_71))) = or(not(t3),not(not(and(a,X_71)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(t3,not(and(a,X_71)))),or(not(t3),not(not(and(a,X_71))))) ),[0,0],$fot(xor(t3,and(a,X_71)))]]) ).
cnf(refute_0_20221,plain,
( not(and(t3,not(and(a,X_71)))) != or(not(t3),not(not(and(a,X_71))))
| not(xor(t3,and(a,X_71))) = or(not(t3),not(not(and(a,X_71)))) ),
inference(resolve,[$cnf( $equal(and(t3,not(and(a,X_71))),xor(t3,and(a,X_71))) )],[refute_0_20219,refute_0_20220]) ).
cnf(refute_0_20222,plain,
not(xor(t3,and(a,X_71))) = or(not(t3),not(not(and(a,X_71)))),
inference(resolve,[$cnf( $equal(not(and(t3,not(and(a,X_71)))),or(not(t3),not(not(and(a,X_71))))) )],[refute_0_20218,refute_0_20221]) ).
cnf(refute_0_20223,plain,
not(and(t3,not(and(a,X_71)))) = or(not(t3),and(a,X_71)),
inference(subst,[],[refute_0_435:[bind(X_29,$fot(t3)),bind(X_30,$fot(and(a,X_71)))]]) ).
cnf(refute_0_20224,plain,
or(not(t3),not(not(and(a,X_71)))) = not(and(t3,not(and(a,X_71)))),
inference(subst,[],[refute_0_147:[bind(X,$fot(t3)),bind(Y,$fot(not(and(a,X_71))))]]) ).
cnf(refute_0_20225,plain,
( not(and(t3,not(and(a,X_71)))) != or(not(t3),and(a,X_71))
| or(not(t3),not(not(and(a,X_71)))) != not(and(t3,not(and(a,X_71))))
| or(not(t3),not(not(and(a,X_71)))) = or(not(t3),and(a,X_71)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t3),not(not(and(a,X_71)))))),bind(Y0,$fot(not(and(t3,not(and(a,X_71)))))),bind(Z0,$fot(or(not(t3),and(a,X_71))))]]) ).
cnf(refute_0_20226,plain,
( not(and(t3,not(and(a,X_71)))) != or(not(t3),and(a,X_71))
| or(not(t3),not(not(and(a,X_71)))) = or(not(t3),and(a,X_71)) ),
inference(resolve,[$cnf( $equal(or(not(t3),not(not(and(a,X_71)))),not(and(t3,not(and(a,X_71))))) )],[refute_0_20224,refute_0_20225]) ).
cnf(refute_0_20227,plain,
or(not(t3),not(not(and(a,X_71)))) = or(not(t3),and(a,X_71)),
inference(resolve,[$cnf( $equal(not(and(t3,not(and(a,X_71)))),or(not(t3),and(a,X_71))) )],[refute_0_20223,refute_0_20226]) ).
cnf(refute_0_20228,plain,
( not(xor(t3,and(a,X_71))) != or(not(t3),not(not(and(a,X_71))))
| or(not(t3),not(not(and(a,X_71)))) != or(not(t3),and(a,X_71))
| not(xor(t3,and(a,X_71))) = or(not(t3),and(a,X_71)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(t3,and(a,X_71))),or(not(t3),and(a,X_71))) ),[0],$fot(or(not(t3),not(not(and(a,X_71)))))]]) ).
cnf(refute_0_20229,plain,
( not(xor(t3,and(a,X_71))) != or(not(t3),not(not(and(a,X_71))))
| not(xor(t3,and(a,X_71))) = or(not(t3),and(a,X_71)) ),
inference(resolve,[$cnf( $equal(or(not(t3),not(not(and(a,X_71)))),or(not(t3),and(a,X_71))) )],[refute_0_20227,refute_0_20228]) ).
cnf(refute_0_20230,plain,
not(xor(t3,and(a,X_71))) = or(not(t3),and(a,X_71)),
inference(resolve,[$cnf( $equal(not(xor(t3,and(a,X_71))),or(not(t3),not(not(and(a,X_71))))) )],[refute_0_20222,refute_0_20229]) ).
cnf(refute_0_20231,plain,
not(xor(t3,and(a,xor(t2,or(t6,not(t3)))))) = or(not(t3),and(a,xor(t2,or(t6,not(t3))))),
inference(subst,[],[refute_0_20230:[bind(X_71,$fot(xor(t2,or(t6,not(t3)))))]]) ).
cnf(refute_0_20232,plain,
and(xor(t2,or(t6,and(t2,t4))),or(a,xor(t2,or(t6,and(t2,t4))))) = xor(t2,or(t6,and(t2,t4))),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(xor(t2,or(t6,and(t2,t4))))),bind(X_20,$fot(a))]]) ).
cnf(refute_0_20233,plain,
or(a,and(not(t2),Y)) = or(a,or(not(t2),and(not(t2),Y))),
inference(subst,[],[refute_0_6819:[bind(X_39,$fot(and(not(t2),Y)))]]) ).
cnf(refute_0_20234,plain,
or(not(t2),and(not(t2),Y)) = not(t2),
inference(subst,[],[or_absorption:[bind(X,$fot(not(t2)))]]) ).
cnf(refute_0_20235,plain,
( or(a,and(not(t2),Y)) != or(a,or(not(t2),and(not(t2),Y)))
| or(not(t2),and(not(t2),Y)) != not(t2)
| or(a,and(not(t2),Y)) = or(a,not(t2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(a,and(not(t2),Y)),or(a,or(not(t2),and(not(t2),Y)))) ),[1,1],$fot(not(t2))]]) ).
cnf(refute_0_20236,plain,
( or(a,and(not(t2),Y)) != or(a,or(not(t2),and(not(t2),Y)))
| or(a,and(not(t2),Y)) = or(a,not(t2)) ),
inference(resolve,[$cnf( $equal(or(not(t2),and(not(t2),Y)),not(t2)) )],[refute_0_20234,refute_0_20235]) ).
cnf(refute_0_20237,plain,
or(a,and(not(t2),Y)) = or(a,not(t2)),
inference(resolve,[$cnf( $equal(or(a,and(not(t2),Y)),or(a,or(not(t2),and(not(t2),Y)))) )],[refute_0_20233,refute_0_20236]) ).
cnf(refute_0_20238,plain,
( or(a,and(not(t2),Y)) != or(a,not(t2))
| or(a,not(t2)) != a
| or(a,and(not(t2),Y)) = a ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(a,and(not(t2),Y)),a) ),[0],$fot(or(a,not(t2)))]]) ).
cnf(refute_0_20239,plain,
( or(a,and(not(t2),Y)) != or(a,not(t2))
| or(a,and(not(t2),Y)) = a ),
inference(resolve,[$cnf( $equal(or(a,not(t2)),a) )],[refute_0_287,refute_0_20238]) ).
cnf(refute_0_20240,plain,
or(a,and(not(t2),Y)) = a,
inference(resolve,[$cnf( $equal(or(a,and(not(t2),Y)),or(a,not(t2))) )],[refute_0_20237,refute_0_20239]) ).
cnf(refute_0_20241,plain,
or(a,and(not(t2),or(t6,and(t2,t4)))) = a,
inference(subst,[],[refute_0_20240:[bind(Y,$fot(or(t6,and(t2,t4))))]]) ).
cnf(refute_0_20242,plain,
( and(not(t2),or(t6,and(t2,t4))) != xor(t2,or(t6,and(t2,t4)))
| or(a,and(not(t2),or(t6,and(t2,t4)))) != a
| or(a,xor(t2,or(t6,and(t2,t4)))) = a ),
introduced(tautology,[equality,[$cnf( $equal(or(a,and(not(t2),or(t6,and(t2,t4)))),a) ),[0,1],$fot(xor(t2,or(t6,and(t2,t4))))]]) ).
cnf(refute_0_20243,plain,
( or(a,and(not(t2),or(t6,and(t2,t4)))) != a
| or(a,xor(t2,or(t6,and(t2,t4)))) = a ),
inference(resolve,[$cnf( $equal(and(not(t2),or(t6,and(t2,t4))),xor(t2,or(t6,and(t2,t4)))) )],[refute_0_20159,refute_0_20242]) ).
cnf(refute_0_20244,plain,
or(a,xor(t2,or(t6,and(t2,t4)))) = a,
inference(resolve,[$cnf( $equal(or(a,and(not(t2),or(t6,and(t2,t4)))),a) )],[refute_0_20241,refute_0_20243]) ).
cnf(refute_0_20245,plain,
( and(xor(t2,or(t6,and(t2,t4))),or(a,xor(t2,or(t6,and(t2,t4))))) != xor(t2,or(t6,and(t2,t4)))
| or(a,xor(t2,or(t6,and(t2,t4)))) != a
| and(xor(t2,or(t6,and(t2,t4))),a) = xor(t2,or(t6,and(t2,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t2,or(t6,and(t2,t4))),or(a,xor(t2,or(t6,and(t2,t4))))),xor(t2,or(t6,and(t2,t4)))) ),[0,1],$fot(a)]]) ).
cnf(refute_0_20246,plain,
( and(xor(t2,or(t6,and(t2,t4))),or(a,xor(t2,or(t6,and(t2,t4))))) != xor(t2,or(t6,and(t2,t4)))
| and(xor(t2,or(t6,and(t2,t4))),a) = xor(t2,or(t6,and(t2,t4))) ),
inference(resolve,[$cnf( $equal(or(a,xor(t2,or(t6,and(t2,t4)))),a) )],[refute_0_20244,refute_0_20245]) ).
cnf(refute_0_20247,plain,
and(xor(t2,or(t6,and(t2,t4))),a) = xor(t2,or(t6,and(t2,t4))),
inference(resolve,[$cnf( $equal(and(xor(t2,or(t6,and(t2,t4))),or(a,xor(t2,or(t6,and(t2,t4))))),xor(t2,or(t6,and(t2,t4)))) )],[refute_0_20232,refute_0_20246]) ).
cnf(refute_0_20248,plain,
and(xor(t2,or(t6,and(t2,t4))),a) = and(a,xor(t2,or(t6,and(t2,t4)))),
inference(subst,[],[refute_0_116:[bind(X,$fot(a)),bind(Y,$fot(xor(t2,or(t6,and(t2,t4)))))]]) ).
cnf(refute_0_20249,plain,
( and(xor(t2,or(t6,and(t2,t4))),a) != and(a,xor(t2,or(t6,and(t2,t4))))
| and(xor(t2,or(t6,and(t2,t4))),a) != xor(t2,or(t6,and(t2,t4)))
| and(a,xor(t2,or(t6,and(t2,t4)))) = xor(t2,or(t6,and(t2,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t2,or(t6,and(t2,t4))),a),xor(t2,or(t6,and(t2,t4)))) ),[0],$fot(and(a,xor(t2,or(t6,and(t2,t4)))))]]) ).
cnf(refute_0_20250,plain,
( and(xor(t2,or(t6,and(t2,t4))),a) != xor(t2,or(t6,and(t2,t4)))
| and(a,xor(t2,or(t6,and(t2,t4)))) = xor(t2,or(t6,and(t2,t4))) ),
inference(resolve,[$cnf( $equal(and(xor(t2,or(t6,and(t2,t4))),a),and(a,xor(t2,or(t6,and(t2,t4))))) )],[refute_0_20248,refute_0_20249]) ).
cnf(refute_0_20251,plain,
and(a,xor(t2,or(t6,and(t2,t4)))) = xor(t2,or(t6,and(t2,t4))),
inference(resolve,[$cnf( $equal(and(xor(t2,or(t6,and(t2,t4))),a),xor(t2,or(t6,and(t2,t4)))) )],[refute_0_20247,refute_0_20250]) ).
cnf(refute_0_20252,plain,
and(a,xor(t2,or(t6,and(t2,t4)))) = and(a,xor(t2,or(t6,and(t2,t4)))),
introduced(tautology,[refl,[$fot(and(a,xor(t2,or(t6,and(t2,t4)))))]]) ).
cnf(refute_0_20253,plain,
( and(a,xor(t2,or(t6,and(t2,t4)))) != and(a,xor(t2,or(t6,and(t2,t4))))
| xor(t2,or(t6,and(t2,t4))) != xor(t2,or(t6,not(t3)))
| and(a,xor(t2,or(t6,and(t2,t4)))) = and(a,xor(t2,or(t6,not(t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(a,xor(t2,or(t6,and(t2,t4)))),and(a,xor(t2,or(t6,and(t2,t4))))) ),[1,1],$fot(xor(t2,or(t6,not(t3))))]]) ).
cnf(refute_0_20254,plain,
( xor(t2,or(t6,and(t2,t4))) != xor(t2,or(t6,not(t3)))
| and(a,xor(t2,or(t6,and(t2,t4)))) = and(a,xor(t2,or(t6,not(t3)))) ),
inference(resolve,[$cnf( $equal(and(a,xor(t2,or(t6,and(t2,t4)))),and(a,xor(t2,or(t6,and(t2,t4))))) )],[refute_0_20252,refute_0_20253]) ).
cnf(refute_0_20255,plain,
and(a,xor(t2,or(t6,and(t2,t4)))) = and(a,xor(t2,or(t6,not(t3)))),
inference(resolve,[$cnf( $equal(xor(t2,or(t6,and(t2,t4))),xor(t2,or(t6,not(t3)))) )],[refute_0_20195,refute_0_20254]) ).
cnf(refute_0_20256,plain,
( and(a,xor(t2,or(t6,and(t2,t4)))) != and(a,xor(t2,or(t6,not(t3))))
| and(a,xor(t2,or(t6,and(t2,t4)))) != xor(t2,or(t6,and(t2,t4)))
| and(a,xor(t2,or(t6,not(t3)))) = xor(t2,or(t6,and(t2,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(and(a,xor(t2,or(t6,and(t2,t4)))),xor(t2,or(t6,and(t2,t4)))) ),[0],$fot(and(a,xor(t2,or(t6,not(t3)))))]]) ).
cnf(refute_0_20257,plain,
( and(a,xor(t2,or(t6,and(t2,t4)))) != xor(t2,or(t6,and(t2,t4)))
| and(a,xor(t2,or(t6,not(t3)))) = xor(t2,or(t6,and(t2,t4))) ),
inference(resolve,[$cnf( $equal(and(a,xor(t2,or(t6,and(t2,t4)))),and(a,xor(t2,or(t6,not(t3))))) )],[refute_0_20255,refute_0_20256]) ).
cnf(refute_0_20258,plain,
( and(a,xor(t2,or(t6,not(t3)))) != xor(t2,or(t6,and(t2,t4)))
| xor(t2,or(t6,and(t2,t4))) != xor(t2,or(t6,not(t3)))
| and(a,xor(t2,or(t6,not(t3)))) = xor(t2,or(t6,not(t3))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(a,xor(t2,or(t6,not(t3)))),xor(t2,or(t6,not(t3)))) ),[0],$fot(xor(t2,or(t6,and(t2,t4))))]]) ).
cnf(refute_0_20259,plain,
( and(a,xor(t2,or(t6,not(t3)))) != xor(t2,or(t6,and(t2,t4)))
| and(a,xor(t2,or(t6,not(t3)))) = xor(t2,or(t6,not(t3))) ),
inference(resolve,[$cnf( $equal(xor(t2,or(t6,and(t2,t4))),xor(t2,or(t6,not(t3)))) )],[refute_0_20195,refute_0_20258]) ).
cnf(refute_0_20260,plain,
( and(a,xor(t2,or(t6,and(t2,t4)))) != xor(t2,or(t6,and(t2,t4)))
| and(a,xor(t2,or(t6,not(t3)))) = xor(t2,or(t6,not(t3))) ),
inference(resolve,[$cnf( $equal(and(a,xor(t2,or(t6,not(t3)))),xor(t2,or(t6,and(t2,t4)))) )],[refute_0_20257,refute_0_20259]) ).
cnf(refute_0_20261,plain,
and(a,xor(t2,or(t6,not(t3)))) = xor(t2,or(t6,not(t3))),
inference(resolve,[$cnf( $equal(and(a,xor(t2,or(t6,and(t2,t4)))),xor(t2,or(t6,and(t2,t4)))) )],[refute_0_20251,refute_0_20260]) ).
cnf(refute_0_20262,plain,
( and(a,xor(t2,or(t6,not(t3)))) != xor(t2,or(t6,not(t3)))
| not(xor(t3,and(a,xor(t2,or(t6,not(t3)))))) != or(not(t3),and(a,xor(t2,or(t6,not(t3)))))
| not(xor(t3,xor(t2,or(t6,not(t3))))) = or(not(t3),and(a,xor(t2,or(t6,not(t3))))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t3,and(a,xor(t2,or(t6,not(t3)))))),or(not(t3),and(a,xor(t2,or(t6,not(t3)))))) ),[0,0,1],$fot(xor(t2,or(t6,not(t3))))]]) ).
cnf(refute_0_20263,plain,
( not(xor(t3,and(a,xor(t2,or(t6,not(t3)))))) != or(not(t3),and(a,xor(t2,or(t6,not(t3)))))
| not(xor(t3,xor(t2,or(t6,not(t3))))) = or(not(t3),and(a,xor(t2,or(t6,not(t3))))) ),
inference(resolve,[$cnf( $equal(and(a,xor(t2,or(t6,not(t3)))),xor(t2,or(t6,not(t3)))) )],[refute_0_20261,refute_0_20262]) ).
cnf(refute_0_20264,plain,
not(xor(t3,xor(t2,or(t6,not(t3))))) = or(not(t3),and(a,xor(t2,or(t6,not(t3))))),
inference(resolve,[$cnf( $equal(not(xor(t3,and(a,xor(t2,or(t6,not(t3)))))),or(not(t3),and(a,xor(t2,or(t6,not(t3)))))) )],[refute_0_20231,refute_0_20263]) ).
cnf(refute_0_20265,plain,
or(and(X,not(or(t2,and(t3,not(t6))))),and(not(X),or(t2,and(t3,not(t6))))) = xor(X,or(t2,and(t3,not(t6)))),
inference(subst,[],[refute_0_9:[bind(Y,$fot(or(t2,and(t3,not(t6)))))]]) ).
cnf(refute_0_20266,plain,
not(or(t2,and(not(t6),t3))) = not(or(t2,and(t3,not(t6)))),
inference(subst,[],[refute_0_5521:[bind(X,$fot(t2)),bind(X_205,$fot(not(t6))),bind(X_206,$fot(t3))]]) ).
cnf(refute_0_20267,plain,
and(not(t2),or(t6,not(t3))) = not(or(t2,and(not(t6),t3))),
inference(subst,[],[refute_0_5529:[bind(X,$fot(t2)),bind(X_33,$fot(t6)),bind(X_34,$fot(t3))]]) ).
cnf(refute_0_20268,plain,
( and(not(t2),or(t6,not(t3))) != not(or(t2,and(not(t6),t3)))
| not(or(t2,and(not(t6),t3))) != not(or(t2,and(t3,not(t6))))
| and(not(t2),or(t6,not(t3))) = not(or(t2,and(t3,not(t6)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t2),or(t6,not(t3))))),bind(Y0,$fot(not(or(t2,and(not(t6),t3))))),bind(Z0,$fot(not(or(t2,and(t3,not(t6))))))]]) ).
cnf(refute_0_20269,plain,
( not(or(t2,and(not(t6),t3))) != not(or(t2,and(t3,not(t6))))
| and(not(t2),or(t6,not(t3))) = not(or(t2,and(t3,not(t6)))) ),
inference(resolve,[$cnf( $equal(and(not(t2),or(t6,not(t3))),not(or(t2,and(not(t6),t3)))) )],[refute_0_20267,refute_0_20268]) ).
cnf(refute_0_20270,plain,
and(not(t2),or(t6,not(t3))) = not(or(t2,and(t3,not(t6)))),
inference(resolve,[$cnf( $equal(not(or(t2,and(not(t6),t3))),not(or(t2,and(t3,not(t6))))) )],[refute_0_20266,refute_0_20269]) ).
cnf(refute_0_20271,plain,
and(not(t2),or(t6,and(t2,t4))) = and(not(t2),or(t6,and(t2,t4))),
introduced(tautology,[refl,[$fot(and(not(t2),or(t6,and(t2,t4))))]]) ).
cnf(refute_0_20272,plain,
( and(not(t2),or(t6,and(t2,t4))) != and(not(t2),or(t6,and(t2,t4)))
| or(t6,and(t2,t4)) != or(t6,not(t3))
| and(not(t2),or(t6,and(t2,t4))) = and(not(t2),or(t6,not(t3))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),or(t6,and(t2,t4))),and(not(t2),or(t6,and(t2,t4)))) ),[1,1],$fot(or(t6,not(t3)))]]) ).
cnf(refute_0_20273,plain,
( or(t6,and(t2,t4)) != or(t6,not(t3))
| and(not(t2),or(t6,and(t2,t4))) = and(not(t2),or(t6,not(t3))) ),
inference(resolve,[$cnf( $equal(and(not(t2),or(t6,and(t2,t4))),and(not(t2),or(t6,and(t2,t4)))) )],[refute_0_20271,refute_0_20272]) ).
cnf(refute_0_20274,plain,
and(not(t2),or(t6,and(t2,t4))) = and(not(t2),or(t6,not(t3))),
inference(resolve,[$cnf( $equal(or(t6,and(t2,t4)),or(t6,not(t3))) )],[refute_0_20178,refute_0_20273]) ).
cnf(refute_0_20275,plain,
( and(not(t2),or(t6,and(t2,t4))) != and(not(t2),or(t6,not(t3)))
| and(not(t2),or(t6,not(t3))) != not(or(t2,and(t3,not(t6))))
| and(not(t2),or(t6,and(t2,t4))) = not(or(t2,and(t3,not(t6)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t2),or(t6,and(t2,t4))))),bind(Y0,$fot(and(not(t2),or(t6,not(t3))))),bind(Z0,$fot(not(or(t2,and(t3,not(t6))))))]]) ).
cnf(refute_0_20276,plain,
( and(not(t2),or(t6,not(t3))) != not(or(t2,and(t3,not(t6))))
| and(not(t2),or(t6,and(t2,t4))) = not(or(t2,and(t3,not(t6)))) ),
inference(resolve,[$cnf( $equal(and(not(t2),or(t6,and(t2,t4))),and(not(t2),or(t6,not(t3)))) )],[refute_0_20274,refute_0_20275]) ).
cnf(refute_0_20277,plain,
and(not(t2),or(t6,and(t2,t4))) = not(or(t2,and(t3,not(t6)))),
inference(resolve,[$cnf( $equal(and(not(t2),or(t6,not(t3))),not(or(t2,and(t3,not(t6))))) )],[refute_0_20270,refute_0_20276]) ).
cnf(refute_0_20278,plain,
( and(not(t2),or(t6,and(t2,t4))) != not(or(t2,and(t3,not(t6))))
| and(not(t2),or(t6,and(t2,t4))) != xor(t2,or(t6,and(t2,t4)))
| not(or(t2,and(t3,not(t6)))) = xor(t2,or(t6,and(t2,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),or(t6,and(t2,t4))),xor(t2,or(t6,and(t2,t4)))) ),[0],$fot(not(or(t2,and(t3,not(t6)))))]]) ).
cnf(refute_0_20279,plain,
( and(not(t2),or(t6,and(t2,t4))) != xor(t2,or(t6,and(t2,t4)))
| not(or(t2,and(t3,not(t6)))) = xor(t2,or(t6,and(t2,t4))) ),
inference(resolve,[$cnf( $equal(and(not(t2),or(t6,and(t2,t4))),not(or(t2,and(t3,not(t6))))) )],[refute_0_20277,refute_0_20278]) ).
cnf(refute_0_20280,plain,
( not(or(t2,and(t3,not(t6)))) != xor(t2,or(t6,and(t2,t4)))
| xor(t2,or(t6,and(t2,t4))) != xor(t2,or(t6,not(t3)))
| not(or(t2,and(t3,not(t6)))) = xor(t2,or(t6,not(t3))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(or(t2,and(t3,not(t6)))),xor(t2,or(t6,not(t3)))) ),[0],$fot(xor(t2,or(t6,and(t2,t4))))]]) ).
cnf(refute_0_20281,plain,
( not(or(t2,and(t3,not(t6)))) != xor(t2,or(t6,and(t2,t4)))
| not(or(t2,and(t3,not(t6)))) = xor(t2,or(t6,not(t3))) ),
inference(resolve,[$cnf( $equal(xor(t2,or(t6,and(t2,t4))),xor(t2,or(t6,not(t3)))) )],[refute_0_20195,refute_0_20280]) ).
cnf(refute_0_20282,plain,
( and(not(t2),or(t6,and(t2,t4))) != xor(t2,or(t6,and(t2,t4)))
| not(or(t2,and(t3,not(t6)))) = xor(t2,or(t6,not(t3))) ),
inference(resolve,[$cnf( $equal(not(or(t2,and(t3,not(t6)))),xor(t2,or(t6,and(t2,t4)))) )],[refute_0_20279,refute_0_20281]) ).
cnf(refute_0_20283,plain,
not(or(t2,and(t3,not(t6)))) = xor(t2,or(t6,not(t3))),
inference(resolve,[$cnf( $equal(and(not(t2),or(t6,and(t2,t4))),xor(t2,or(t6,and(t2,t4)))) )],[refute_0_20159,refute_0_20282]) ).
cnf(refute_0_20284,plain,
( not(or(t2,and(t3,not(t6)))) != xor(t2,or(t6,not(t3)))
| or(and(X,not(or(t2,and(t3,not(t6))))),and(not(X),or(t2,and(t3,not(t6))))) != xor(X,or(t2,and(t3,not(t6))))
| or(and(X,xor(t2,or(t6,not(t3)))),and(not(X),or(t2,and(t3,not(t6))))) = xor(X,or(t2,and(t3,not(t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X,not(or(t2,and(t3,not(t6))))),and(not(X),or(t2,and(t3,not(t6))))),xor(X,or(t2,and(t3,not(t6))))) ),[0,0,1],$fot(xor(t2,or(t6,not(t3))))]]) ).
cnf(refute_0_20285,plain,
( or(and(X,not(or(t2,and(t3,not(t6))))),and(not(X),or(t2,and(t3,not(t6))))) != xor(X,or(t2,and(t3,not(t6))))
| or(and(X,xor(t2,or(t6,not(t3)))),and(not(X),or(t2,and(t3,not(t6))))) = xor(X,or(t2,and(t3,not(t6)))) ),
inference(resolve,[$cnf( $equal(not(or(t2,and(t3,not(t6)))),xor(t2,or(t6,not(t3)))) )],[refute_0_20283,refute_0_20284]) ).
cnf(refute_0_20286,plain,
or(and(X,xor(t2,or(t6,not(t3)))),and(not(X),or(t2,and(t3,not(t6))))) = xor(X,or(t2,and(t3,not(t6)))),
inference(resolve,[$cnf( $equal(or(and(X,not(or(t2,and(t3,not(t6))))),and(not(X),or(t2,and(t3,not(t6))))),xor(X,or(t2,and(t3,not(t6))))) )],[refute_0_20265,refute_0_20285]) ).
cnf(refute_0_20287,plain,
or(and(X,xor(t2,or(t6,not(t3)))),not(or(X,xor(t2,or(t6,not(t3)))))) = not(xor(X,xor(t2,or(t6,not(t3))))),
inference(subst,[],[refute_0_3631:[bind(X_64,$fot(xor(t2,or(t6,not(t3)))))]]) ).
cnf(refute_0_20288,plain,
not(or(X_25,not(or(t2,and(t3,not(t6)))))) = and(not(X_25),or(t2,and(t3,not(t6)))),
inference(subst,[],[refute_0_801:[bind(X,$fot(or(t2,and(t3,not(t6)))))]]) ).
cnf(refute_0_20289,plain,
( not(or(X_25,not(or(t2,and(t3,not(t6)))))) != and(not(X_25),or(t2,and(t3,not(t6))))
| not(or(t2,and(t3,not(t6)))) != xor(t2,or(t6,not(t3)))
| not(or(X_25,xor(t2,or(t6,not(t3))))) = and(not(X_25),or(t2,and(t3,not(t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X_25,not(or(t2,and(t3,not(t6)))))),and(not(X_25),or(t2,and(t3,not(t6))))) ),[0,0,1],$fot(xor(t2,or(t6,not(t3))))]]) ).
cnf(refute_0_20290,plain,
( not(or(X_25,not(or(t2,and(t3,not(t6)))))) != and(not(X_25),or(t2,and(t3,not(t6))))
| not(or(X_25,xor(t2,or(t6,not(t3))))) = and(not(X_25),or(t2,and(t3,not(t6)))) ),
inference(resolve,[$cnf( $equal(not(or(t2,and(t3,not(t6)))),xor(t2,or(t6,not(t3)))) )],[refute_0_20283,refute_0_20289]) ).
cnf(refute_0_20291,plain,
not(or(X_25,xor(t2,or(t6,not(t3))))) = and(not(X_25),or(t2,and(t3,not(t6)))),
inference(resolve,[$cnf( $equal(not(or(X_25,not(or(t2,and(t3,not(t6)))))),and(not(X_25),or(t2,and(t3,not(t6))))) )],[refute_0_20288,refute_0_20290]) ).
cnf(refute_0_20292,plain,
( not(or(X_25,xor(t2,or(t6,not(t3))))) != and(not(X_25),or(t2,and(t3,not(t6))))
| and(not(X_25),or(t2,and(t3,not(t6)))) = not(or(X_25,xor(t2,or(t6,not(t3))))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X_25,xor(t2,or(t6,not(t3))))))),bind(Y0,$fot(and(not(X_25),or(t2,and(t3,not(t6))))))]]) ).
cnf(refute_0_20293,plain,
and(not(X_25),or(t2,and(t3,not(t6)))) = not(or(X_25,xor(t2,or(t6,not(t3))))),
inference(resolve,[$cnf( $equal(not(or(X_25,xor(t2,or(t6,not(t3))))),and(not(X_25),or(t2,and(t3,not(t6))))) )],[refute_0_20291,refute_0_20292]) ).
cnf(refute_0_20294,plain,
and(not(X),or(t2,and(t3,not(t6)))) = not(or(X,xor(t2,or(t6,not(t3))))),
inference(subst,[],[refute_0_20293:[bind(X_25,$fot(X))]]) ).
cnf(refute_0_20295,plain,
or(and(X,xor(t2,or(t6,not(t3)))),and(not(X),or(t2,and(t3,not(t6))))) = or(and(X,xor(t2,or(t6,not(t3)))),and(not(X),or(t2,and(t3,not(t6))))),
introduced(tautology,[refl,[$fot(or(and(X,xor(t2,or(t6,not(t3)))),and(not(X),or(t2,and(t3,not(t6))))))]]) ).
cnf(refute_0_20296,plain,
( and(not(X),or(t2,and(t3,not(t6)))) != not(or(X,xor(t2,or(t6,not(t3)))))
| or(and(X,xor(t2,or(t6,not(t3)))),and(not(X),or(t2,and(t3,not(t6))))) != or(and(X,xor(t2,or(t6,not(t3)))),and(not(X),or(t2,and(t3,not(t6)))))
| or(and(X,xor(t2,or(t6,not(t3)))),and(not(X),or(t2,and(t3,not(t6))))) = or(and(X,xor(t2,or(t6,not(t3)))),not(or(X,xor(t2,or(t6,not(t3)))))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X,xor(t2,or(t6,not(t3)))),and(not(X),or(t2,and(t3,not(t6))))),or(and(X,xor(t2,or(t6,not(t3)))),and(not(X),or(t2,and(t3,not(t6)))))) ),[1,1],$fot(not(or(X,xor(t2,or(t6,not(t3))))))]]) ).
cnf(refute_0_20297,plain,
( and(not(X),or(t2,and(t3,not(t6)))) != not(or(X,xor(t2,or(t6,not(t3)))))
| or(and(X,xor(t2,or(t6,not(t3)))),and(not(X),or(t2,and(t3,not(t6))))) = or(and(X,xor(t2,or(t6,not(t3)))),not(or(X,xor(t2,or(t6,not(t3)))))) ),
inference(resolve,[$cnf( $equal(or(and(X,xor(t2,or(t6,not(t3)))),and(not(X),or(t2,and(t3,not(t6))))),or(and(X,xor(t2,or(t6,not(t3)))),and(not(X),or(t2,and(t3,not(t6)))))) )],[refute_0_20295,refute_0_20296]) ).
cnf(refute_0_20298,plain,
or(and(X,xor(t2,or(t6,not(t3)))),and(not(X),or(t2,and(t3,not(t6))))) = or(and(X,xor(t2,or(t6,not(t3)))),not(or(X,xor(t2,or(t6,not(t3)))))),
inference(resolve,[$cnf( $equal(and(not(X),or(t2,and(t3,not(t6)))),not(or(X,xor(t2,or(t6,not(t3)))))) )],[refute_0_20294,refute_0_20297]) ).
cnf(refute_0_20299,plain,
( or(and(X,xor(t2,or(t6,not(t3)))),and(not(X),or(t2,and(t3,not(t6))))) != or(and(X,xor(t2,or(t6,not(t3)))),not(or(X,xor(t2,or(t6,not(t3))))))
| or(and(X,xor(t2,or(t6,not(t3)))),not(or(X,xor(t2,or(t6,not(t3)))))) != not(xor(X,xor(t2,or(t6,not(t3)))))
| or(and(X,xor(t2,or(t6,not(t3)))),and(not(X),or(t2,and(t3,not(t6))))) = not(xor(X,xor(t2,or(t6,not(t3))))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(X,xor(t2,or(t6,not(t3)))),and(not(X),or(t2,and(t3,not(t6))))))),bind(Y0,$fot(or(and(X,xor(t2,or(t6,not(t3)))),not(or(X,xor(t2,or(t6,not(t3)))))))),bind(Z0,$fot(not(xor(X,xor(t2,or(t6,not(t3)))))))]]) ).
cnf(refute_0_20300,plain,
( or(and(X,xor(t2,or(t6,not(t3)))),not(or(X,xor(t2,or(t6,not(t3)))))) != not(xor(X,xor(t2,or(t6,not(t3)))))
| or(and(X,xor(t2,or(t6,not(t3)))),and(not(X),or(t2,and(t3,not(t6))))) = not(xor(X,xor(t2,or(t6,not(t3))))) ),
inference(resolve,[$cnf( $equal(or(and(X,xor(t2,or(t6,not(t3)))),and(not(X),or(t2,and(t3,not(t6))))),or(and(X,xor(t2,or(t6,not(t3)))),not(or(X,xor(t2,or(t6,not(t3))))))) )],[refute_0_20298,refute_0_20299]) ).
cnf(refute_0_20301,plain,
or(and(X,xor(t2,or(t6,not(t3)))),and(not(X),or(t2,and(t3,not(t6))))) = not(xor(X,xor(t2,or(t6,not(t3))))),
inference(resolve,[$cnf( $equal(or(and(X,xor(t2,or(t6,not(t3)))),not(or(X,xor(t2,or(t6,not(t3)))))),not(xor(X,xor(t2,or(t6,not(t3)))))) )],[refute_0_20287,refute_0_20300]) ).
cnf(refute_0_20302,plain,
( or(and(X,xor(t2,or(t6,not(t3)))),and(not(X),or(t2,and(t3,not(t6))))) != not(xor(X,xor(t2,or(t6,not(t3)))))
| or(and(X,xor(t2,or(t6,not(t3)))),and(not(X),or(t2,and(t3,not(t6))))) != xor(X,or(t2,and(t3,not(t6))))
| not(xor(X,xor(t2,or(t6,not(t3))))) = xor(X,or(t2,and(t3,not(t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X,xor(t2,or(t6,not(t3)))),and(not(X),or(t2,and(t3,not(t6))))),xor(X,or(t2,and(t3,not(t6))))) ),[0],$fot(not(xor(X,xor(t2,or(t6,not(t3))))))]]) ).
cnf(refute_0_20303,plain,
( or(and(X,xor(t2,or(t6,not(t3)))),and(not(X),or(t2,and(t3,not(t6))))) != xor(X,or(t2,and(t3,not(t6))))
| not(xor(X,xor(t2,or(t6,not(t3))))) = xor(X,or(t2,and(t3,not(t6)))) ),
inference(resolve,[$cnf( $equal(or(and(X,xor(t2,or(t6,not(t3)))),and(not(X),or(t2,and(t3,not(t6))))),not(xor(X,xor(t2,or(t6,not(t3)))))) )],[refute_0_20301,refute_0_20302]) ).
cnf(refute_0_20304,plain,
not(xor(X,xor(t2,or(t6,not(t3))))) = xor(X,or(t2,and(t3,not(t6)))),
inference(resolve,[$cnf( $equal(or(and(X,xor(t2,or(t6,not(t3)))),and(not(X),or(t2,and(t3,not(t6))))),xor(X,or(t2,and(t3,not(t6))))) )],[refute_0_20286,refute_0_20303]) ).
cnf(refute_0_20305,plain,
not(xor(t3,xor(t2,or(t6,not(t3))))) = xor(t3,or(t2,and(t3,not(t6)))),
inference(subst,[],[refute_0_20304:[bind(X,$fot(t3))]]) ).
cnf(refute_0_20306,plain,
( not(xor(t3,xor(t2,or(t6,not(t3))))) != or(not(t3),and(a,xor(t2,or(t6,not(t3)))))
| not(xor(t3,xor(t2,or(t6,not(t3))))) != xor(t3,or(t2,and(t3,not(t6))))
| xor(t3,or(t2,and(t3,not(t6)))) = or(not(t3),and(a,xor(t2,or(t6,not(t3))))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t3,xor(t2,or(t6,not(t3))))),or(not(t3),and(a,xor(t2,or(t6,not(t3)))))) ),[0],$fot(xor(t3,or(t2,and(t3,not(t6)))))]]) ).
cnf(refute_0_20307,plain,
( not(xor(t3,xor(t2,or(t6,not(t3))))) != or(not(t3),and(a,xor(t2,or(t6,not(t3)))))
| xor(t3,or(t2,and(t3,not(t6)))) = or(not(t3),and(a,xor(t2,or(t6,not(t3))))) ),
inference(resolve,[$cnf( $equal(not(xor(t3,xor(t2,or(t6,not(t3))))),xor(t3,or(t2,and(t3,not(t6))))) )],[refute_0_20305,refute_0_20306]) ).
cnf(refute_0_20308,plain,
xor(t4,and(not(t6),t3)) = xor(t4,and(not(t6),t3)),
introduced(tautology,[refl,[$fot(xor(t4,and(not(t6),t3)))]]) ).
cnf(refute_0_20309,plain,
( and(not(t6),t3) != and(t3,not(t6))
| xor(t4,and(not(t6),t3)) != xor(t4,and(not(t6),t3))
| xor(t4,and(not(t6),t3)) = xor(t4,and(t3,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,and(not(t6),t3)),xor(t4,and(not(t6),t3))) ),[1,1],$fot(and(t3,not(t6)))]]) ).
cnf(refute_0_20310,plain,
( and(not(t6),t3) != and(t3,not(t6))
| xor(t4,and(not(t6),t3)) = xor(t4,and(t3,not(t6))) ),
inference(resolve,[$cnf( $equal(xor(t4,and(not(t6),t3)),xor(t4,and(not(t6),t3))) )],[refute_0_20308,refute_0_20309]) ).
cnf(refute_0_20311,plain,
xor(t4,and(not(t6),t3)) = xor(t4,and(t3,not(t6))),
inference(resolve,[$cnf( $equal(and(not(t6),t3),and(t3,not(t6))) )],[refute_0_20170,refute_0_20310]) ).
cnf(refute_0_20312,plain,
not(xor(t4,or(t6,not(t3)))) = xor(t4,and(not(t6),t3)),
inference(subst,[],[refute_0_7796:[bind(X,$fot(t3)),bind(X_25,$fot(t6)),bind(X_377,$fot(t4))]]) ).
cnf(refute_0_20313,plain,
( not(xor(t4,or(t6,not(t3)))) != xor(t4,and(not(t6),t3))
| xor(t4,and(not(t6),t3)) != xor(t4,and(t3,not(t6)))
| not(xor(t4,or(t6,not(t3)))) = xor(t4,and(t3,not(t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t4,or(t6,not(t3)))))),bind(Y0,$fot(xor(t4,and(not(t6),t3)))),bind(Z0,$fot(xor(t4,and(t3,not(t6)))))]]) ).
cnf(refute_0_20314,plain,
( xor(t4,and(not(t6),t3)) != xor(t4,and(t3,not(t6)))
| not(xor(t4,or(t6,not(t3)))) = xor(t4,and(t3,not(t6))) ),
inference(resolve,[$cnf( $equal(not(xor(t4,or(t6,not(t3)))),xor(t4,and(not(t6),t3))) )],[refute_0_20312,refute_0_20313]) ).
cnf(refute_0_20315,plain,
not(xor(t4,or(t6,not(t3)))) = xor(t4,and(t3,not(t6))),
inference(resolve,[$cnf( $equal(xor(t4,and(not(t6),t3)),xor(t4,and(t3,not(t6)))) )],[refute_0_20311,refute_0_20314]) ).
cnf(refute_0_20316,plain,
xor(t2,xor(t3,or(t6,not(t3)))) = xor(t4,or(t6,not(t3))),
inference(subst,[],[refute_0_18841:[bind(Y,$fot(or(t6,not(t3))))]]) ).
cnf(refute_0_20317,plain,
xor(t3,xor(t2,or(t6,not(t3)))) = xor(t2,xor(t3,or(t6,not(t3)))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(t2)),bind(X_334,$fot(t3)),bind(X_335,$fot(or(t6,not(t3))))]]) ).
cnf(refute_0_20318,plain,
( xor(t2,xor(t3,or(t6,not(t3)))) != xor(t4,or(t6,not(t3)))
| xor(t3,xor(t2,or(t6,not(t3)))) != xor(t2,xor(t3,or(t6,not(t3))))
| xor(t3,xor(t2,or(t6,not(t3)))) = xor(t4,or(t6,not(t3))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t3,xor(t2,or(t6,not(t3)))))),bind(Y0,$fot(xor(t2,xor(t3,or(t6,not(t3)))))),bind(Z0,$fot(xor(t4,or(t6,not(t3)))))]]) ).
cnf(refute_0_20319,plain,
( xor(t2,xor(t3,or(t6,not(t3)))) != xor(t4,or(t6,not(t3)))
| xor(t3,xor(t2,or(t6,not(t3)))) = xor(t4,or(t6,not(t3))) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(t2,or(t6,not(t3)))),xor(t2,xor(t3,or(t6,not(t3))))) )],[refute_0_20317,refute_0_20318]) ).
cnf(refute_0_20320,plain,
xor(t3,xor(t2,or(t6,not(t3)))) = xor(t4,or(t6,not(t3))),
inference(resolve,[$cnf( $equal(xor(t2,xor(t3,or(t6,not(t3)))),xor(t4,or(t6,not(t3)))) )],[refute_0_20316,refute_0_20319]) ).
cnf(refute_0_20321,plain,
xor(t3,and(a,xor(t2,or(t6,not(t3))))) = xor(t3,and(a,xor(t2,or(t6,not(t3))))),
introduced(tautology,[refl,[$fot(xor(t3,and(a,xor(t2,or(t6,not(t3))))))]]) ).
cnf(refute_0_20322,plain,
( and(a,xor(t2,or(t6,not(t3)))) != xor(t2,or(t6,not(t3)))
| xor(t3,and(a,xor(t2,or(t6,not(t3))))) != xor(t3,and(a,xor(t2,or(t6,not(t3)))))
| xor(t3,and(a,xor(t2,or(t6,not(t3))))) = xor(t3,xor(t2,or(t6,not(t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,and(a,xor(t2,or(t6,not(t3))))),xor(t3,and(a,xor(t2,or(t6,not(t3)))))) ),[1,1],$fot(xor(t2,or(t6,not(t3))))]]) ).
cnf(refute_0_20323,plain,
( and(a,xor(t2,or(t6,not(t3)))) != xor(t2,or(t6,not(t3)))
| xor(t3,and(a,xor(t2,or(t6,not(t3))))) = xor(t3,xor(t2,or(t6,not(t3)))) ),
inference(resolve,[$cnf( $equal(xor(t3,and(a,xor(t2,or(t6,not(t3))))),xor(t3,and(a,xor(t2,or(t6,not(t3)))))) )],[refute_0_20321,refute_0_20322]) ).
cnf(refute_0_20324,plain,
xor(t3,and(a,xor(t2,or(t6,not(t3))))) = xor(t3,xor(t2,or(t6,not(t3)))),
inference(resolve,[$cnf( $equal(and(a,xor(t2,or(t6,not(t3)))),xor(t2,or(t6,not(t3)))) )],[refute_0_20261,refute_0_20323]) ).
cnf(refute_0_20325,plain,
( xor(t3,and(a,xor(t2,or(t6,not(t3))))) != xor(t3,xor(t2,or(t6,not(t3))))
| xor(t3,xor(t2,or(t6,not(t3)))) != xor(t4,or(t6,not(t3)))
| xor(t3,and(a,xor(t2,or(t6,not(t3))))) = xor(t4,or(t6,not(t3))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t3,and(a,xor(t2,or(t6,not(t3))))))),bind(Y0,$fot(xor(t3,xor(t2,or(t6,not(t3)))))),bind(Z0,$fot(xor(t4,or(t6,not(t3)))))]]) ).
cnf(refute_0_20326,plain,
( xor(t3,xor(t2,or(t6,not(t3)))) != xor(t4,or(t6,not(t3)))
| xor(t3,and(a,xor(t2,or(t6,not(t3))))) = xor(t4,or(t6,not(t3))) ),
inference(resolve,[$cnf( $equal(xor(t3,and(a,xor(t2,or(t6,not(t3))))),xor(t3,xor(t2,or(t6,not(t3))))) )],[refute_0_20324,refute_0_20325]) ).
cnf(refute_0_20327,plain,
xor(t3,and(a,xor(t2,or(t6,not(t3))))) = xor(t4,or(t6,not(t3))),
inference(resolve,[$cnf( $equal(xor(t3,xor(t2,or(t6,not(t3)))),xor(t4,or(t6,not(t3)))) )],[refute_0_20320,refute_0_20326]) ).
cnf(refute_0_20328,plain,
not(xor(t3,and(a,xor(t2,or(t6,not(t3)))))) = not(xor(t3,and(a,xor(t2,or(t6,not(t3)))))),
introduced(tautology,[refl,[$fot(not(xor(t3,and(a,xor(t2,or(t6,not(t3)))))))]]) ).
cnf(refute_0_20329,plain,
( not(xor(t3,and(a,xor(t2,or(t6,not(t3)))))) != not(xor(t3,and(a,xor(t2,or(t6,not(t3))))))
| xor(t3,and(a,xor(t2,or(t6,not(t3))))) != xor(t4,or(t6,not(t3)))
| not(xor(t3,and(a,xor(t2,or(t6,not(t3)))))) = not(xor(t4,or(t6,not(t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t3,and(a,xor(t2,or(t6,not(t3)))))),not(xor(t3,and(a,xor(t2,or(t6,not(t3))))))) ),[1,0],$fot(xor(t4,or(t6,not(t3))))]]) ).
cnf(refute_0_20330,plain,
( xor(t3,and(a,xor(t2,or(t6,not(t3))))) != xor(t4,or(t6,not(t3)))
| not(xor(t3,and(a,xor(t2,or(t6,not(t3)))))) = not(xor(t4,or(t6,not(t3)))) ),
inference(resolve,[$cnf( $equal(not(xor(t3,and(a,xor(t2,or(t6,not(t3)))))),not(xor(t3,and(a,xor(t2,or(t6,not(t3))))))) )],[refute_0_20328,refute_0_20329]) ).
cnf(refute_0_20331,plain,
not(xor(t3,and(a,xor(t2,or(t6,not(t3)))))) = not(xor(t4,or(t6,not(t3)))),
inference(resolve,[$cnf( $equal(xor(t3,and(a,xor(t2,or(t6,not(t3))))),xor(t4,or(t6,not(t3)))) )],[refute_0_20327,refute_0_20330]) ).
cnf(refute_0_20332,plain,
( not(xor(t3,and(a,xor(t2,or(t6,not(t3)))))) != not(xor(t4,or(t6,not(t3))))
| not(xor(t4,or(t6,not(t3)))) != xor(t4,and(t3,not(t6)))
| not(xor(t3,and(a,xor(t2,or(t6,not(t3)))))) = xor(t4,and(t3,not(t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t3,and(a,xor(t2,or(t6,not(t3)))))))),bind(Y0,$fot(not(xor(t4,or(t6,not(t3)))))),bind(Z0,$fot(xor(t4,and(t3,not(t6)))))]]) ).
cnf(refute_0_20333,plain,
( not(xor(t4,or(t6,not(t3)))) != xor(t4,and(t3,not(t6)))
| not(xor(t3,and(a,xor(t2,or(t6,not(t3)))))) = xor(t4,and(t3,not(t6))) ),
inference(resolve,[$cnf( $equal(not(xor(t3,and(a,xor(t2,or(t6,not(t3)))))),not(xor(t4,or(t6,not(t3))))) )],[refute_0_20331,refute_0_20332]) ).
cnf(refute_0_20334,plain,
not(xor(t3,and(a,xor(t2,or(t6,not(t3)))))) = xor(t4,and(t3,not(t6))),
inference(resolve,[$cnf( $equal(not(xor(t4,or(t6,not(t3)))),xor(t4,and(t3,not(t6)))) )],[refute_0_20315,refute_0_20333]) ).
cnf(refute_0_20335,plain,
( not(xor(t3,and(a,X_71))) != or(not(t3),and(a,X_71))
| or(not(t3),and(a,X_71)) = not(xor(t3,and(a,X_71))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(xor(t3,and(a,X_71))))),bind(Y0,$fot(or(not(t3),and(a,X_71))))]]) ).
cnf(refute_0_20336,plain,
or(not(t3),and(a,X_71)) = not(xor(t3,and(a,X_71))),
inference(resolve,[$cnf( $equal(not(xor(t3,and(a,X_71))),or(not(t3),and(a,X_71))) )],[refute_0_20230,refute_0_20335]) ).
cnf(refute_0_20337,plain,
or(not(t3),and(a,xor(t2,or(t6,not(t3))))) = not(xor(t3,and(a,xor(t2,or(t6,not(t3)))))),
inference(subst,[],[refute_0_20336:[bind(X_71,$fot(xor(t2,or(t6,not(t3)))))]]) ).
cnf(refute_0_20338,plain,
( not(xor(t3,and(a,xor(t2,or(t6,not(t3)))))) != xor(t4,and(t3,not(t6)))
| or(not(t3),and(a,xor(t2,or(t6,not(t3))))) != not(xor(t3,and(a,xor(t2,or(t6,not(t3))))))
| or(not(t3),and(a,xor(t2,or(t6,not(t3))))) = xor(t4,and(t3,not(t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t3),and(a,xor(t2,or(t6,not(t3))))))),bind(Y0,$fot(not(xor(t3,and(a,xor(t2,or(t6,not(t3)))))))),bind(Z0,$fot(xor(t4,and(t3,not(t6)))))]]) ).
cnf(refute_0_20339,plain,
( not(xor(t3,and(a,xor(t2,or(t6,not(t3)))))) != xor(t4,and(t3,not(t6)))
| or(not(t3),and(a,xor(t2,or(t6,not(t3))))) = xor(t4,and(t3,not(t6))) ),
inference(resolve,[$cnf( $equal(or(not(t3),and(a,xor(t2,or(t6,not(t3))))),not(xor(t3,and(a,xor(t2,or(t6,not(t3))))))) )],[refute_0_20337,refute_0_20338]) ).
cnf(refute_0_20340,plain,
or(not(t3),and(a,xor(t2,or(t6,not(t3))))) = xor(t4,and(t3,not(t6))),
inference(resolve,[$cnf( $equal(not(xor(t3,and(a,xor(t2,or(t6,not(t3)))))),xor(t4,and(t3,not(t6)))) )],[refute_0_20334,refute_0_20339]) ).
cnf(refute_0_20341,plain,
( or(not(t3),and(a,xor(t2,or(t6,not(t3))))) != xor(t4,and(t3,not(t6)))
| xor(t3,or(t2,and(t3,not(t6)))) != or(not(t3),and(a,xor(t2,or(t6,not(t3)))))
| xor(t3,or(t2,and(t3,not(t6)))) = xor(t4,and(t3,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,or(t2,and(t3,not(t6)))),or(not(t3),and(a,xor(t2,or(t6,not(t3)))))) ),[1],$fot(xor(t4,and(t3,not(t6))))]]) ).
cnf(refute_0_20342,plain,
( xor(t3,or(t2,and(t3,not(t6)))) != or(not(t3),and(a,xor(t2,or(t6,not(t3)))))
| xor(t3,or(t2,and(t3,not(t6)))) = xor(t4,and(t3,not(t6))) ),
inference(resolve,[$cnf( $equal(or(not(t3),and(a,xor(t2,or(t6,not(t3))))),xor(t4,and(t3,not(t6)))) )],[refute_0_20340,refute_0_20341]) ).
cnf(refute_0_20343,plain,
( not(xor(t3,xor(t2,or(t6,not(t3))))) != or(not(t3),and(a,xor(t2,or(t6,not(t3)))))
| xor(t3,or(t2,and(t3,not(t6)))) = xor(t4,and(t3,not(t6))) ),
inference(resolve,[$cnf( $equal(xor(t3,or(t2,and(t3,not(t6)))),or(not(t3),and(a,xor(t2,or(t6,not(t3)))))) )],[refute_0_20307,refute_0_20342]) ).
cnf(refute_0_20344,plain,
xor(t3,or(t2,and(t3,not(t6)))) = xor(t4,and(t3,not(t6))),
inference(resolve,[$cnf( $equal(not(xor(t3,xor(t2,or(t6,not(t3))))),or(not(t3),and(a,xor(t2,or(t6,not(t3)))))) )],[refute_0_20264,refute_0_20343]) ).
cnf(refute_0_20345,plain,
( xor(t1,xor(t3,or(t2,and(t3,not(t6))))) != xor(b,or(t2,and(t3,not(t6))))
| xor(t3,or(t2,and(t3,not(t6)))) != xor(t4,and(t3,not(t6)))
| xor(t1,xor(t4,and(t3,not(t6)))) = xor(b,or(t2,and(t3,not(t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,xor(t3,or(t2,and(t3,not(t6))))),xor(b,or(t2,and(t3,not(t6))))) ),[0,1],$fot(xor(t4,and(t3,not(t6))))]]) ).
cnf(refute_0_20346,plain,
( xor(t1,xor(t3,or(t2,and(t3,not(t6))))) != xor(b,or(t2,and(t3,not(t6))))
| xor(t1,xor(t4,and(t3,not(t6)))) = xor(b,or(t2,and(t3,not(t6)))) ),
inference(resolve,[$cnf( $equal(xor(t3,or(t2,and(t3,not(t6)))),xor(t4,and(t3,not(t6)))) )],[refute_0_20344,refute_0_20345]) ).
cnf(refute_0_20347,plain,
xor(t1,xor(t4,and(t3,not(t6)))) = xor(b,or(t2,and(t3,not(t6)))),
inference(resolve,[$cnf( $equal(xor(t1,xor(t3,or(t2,and(t3,not(t6))))),xor(b,or(t2,and(t3,not(t6))))) )],[refute_0_20217,refute_0_20346]) ).
cnf(refute_0_20348,plain,
xor(t1,xor(t4,and(t3,not(t6)))) = xor(a,xor(t3,and(t3,not(t6)))),
inference(subst,[],[refute_0_16788:[bind(Z,$fot(and(t3,not(t6))))]]) ).
cnf(refute_0_20349,plain,
( xor(t1,xor(t4,and(t3,not(t6)))) != xor(a,xor(t3,and(t3,not(t6))))
| xor(t1,xor(t4,and(t3,not(t6)))) != xor(b,or(t2,and(t3,not(t6))))
| xor(a,xor(t3,and(t3,not(t6)))) = xor(b,or(t2,and(t3,not(t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,xor(t4,and(t3,not(t6)))),xor(b,or(t2,and(t3,not(t6))))) ),[0],$fot(xor(a,xor(t3,and(t3,not(t6)))))]]) ).
cnf(refute_0_20350,plain,
( xor(t1,xor(t4,and(t3,not(t6)))) != xor(b,or(t2,and(t3,not(t6))))
| xor(a,xor(t3,and(t3,not(t6)))) = xor(b,or(t2,and(t3,not(t6)))) ),
inference(resolve,[$cnf( $equal(xor(t1,xor(t4,and(t3,not(t6)))),xor(a,xor(t3,and(t3,not(t6))))) )],[refute_0_20348,refute_0_20349]) ).
cnf(refute_0_20351,plain,
xor(a,xor(t3,and(t3,not(t6)))) = xor(b,or(t2,and(t3,not(t6)))),
inference(resolve,[$cnf( $equal(xor(t1,xor(t4,and(t3,not(t6)))),xor(b,or(t2,and(t3,not(t6))))) )],[refute_0_20347,refute_0_20350]) ).
cnf(refute_0_20352,plain,
( xor(a,xor(t3,and(t3,not(t6)))) != xor(b,or(t2,and(t3,not(t6))))
| xor(b,or(t2,and(t3,not(t6)))) = xor(a,xor(t3,and(t3,not(t6)))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(a,xor(t3,and(t3,not(t6)))))),bind(Y0,$fot(xor(b,or(t2,and(t3,not(t6))))))]]) ).
cnf(refute_0_20353,plain,
xor(b,or(t2,and(t3,not(t6)))) = xor(a,xor(t3,and(t3,not(t6)))),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,and(t3,not(t6)))),xor(b,or(t2,and(t3,not(t6))))) )],[refute_0_20351,refute_0_20352]) ).
cnf(refute_0_20354,plain,
( xor(a,xor(b,or(t2,and(t3,not(t6))))) != xor(t4,or(t2,and(t3,not(t6))))
| xor(b,or(t2,and(t3,not(t6)))) != xor(a,xor(t3,and(t3,not(t6))))
| xor(a,xor(a,xor(t3,and(t3,not(t6))))) = xor(t4,or(t2,and(t3,not(t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(b,or(t2,and(t3,not(t6))))),xor(t4,or(t2,and(t3,not(t6))))) ),[0,1],$fot(xor(a,xor(t3,and(t3,not(t6)))))]]) ).
cnf(refute_0_20355,plain,
( xor(a,xor(b,or(t2,and(t3,not(t6))))) != xor(t4,or(t2,and(t3,not(t6))))
| xor(a,xor(a,xor(t3,and(t3,not(t6))))) = xor(t4,or(t2,and(t3,not(t6)))) ),
inference(resolve,[$cnf( $equal(xor(b,or(t2,and(t3,not(t6)))),xor(a,xor(t3,and(t3,not(t6))))) )],[refute_0_20353,refute_0_20354]) ).
cnf(refute_0_20356,plain,
xor(a,xor(a,xor(t3,and(t3,not(t6))))) = xor(t4,or(t2,and(t3,not(t6)))),
inference(resolve,[$cnf( $equal(xor(a,xor(b,or(t2,and(t3,not(t6))))),xor(t4,or(t2,and(t3,not(t6))))) )],[refute_0_20216,refute_0_20355]) ).
cnf(refute_0_20357,plain,
xor(a,xor(a,xor(t3,and(t3,not(t6))))) = xor(t3,and(t3,not(t6))),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(a)),bind(X_335,$fot(xor(t3,and(t3,not(t6)))))]]) ).
cnf(refute_0_20358,plain,
( xor(a,xor(a,xor(t3,and(t3,not(t6))))) != xor(t3,and(t3,not(t6)))
| xor(a,xor(a,xor(t3,and(t3,not(t6))))) != xor(t4,or(t2,and(t3,not(t6))))
| xor(t3,and(t3,not(t6))) = xor(t4,or(t2,and(t3,not(t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(a,xor(t3,and(t3,not(t6))))),xor(t4,or(t2,and(t3,not(t6))))) ),[0],$fot(xor(t3,and(t3,not(t6))))]]) ).
cnf(refute_0_20359,plain,
( xor(a,xor(a,xor(t3,and(t3,not(t6))))) != xor(t4,or(t2,and(t3,not(t6))))
| xor(t3,and(t3,not(t6))) = xor(t4,or(t2,and(t3,not(t6)))) ),
inference(resolve,[$cnf( $equal(xor(a,xor(a,xor(t3,and(t3,not(t6))))),xor(t3,and(t3,not(t6)))) )],[refute_0_20357,refute_0_20358]) ).
cnf(refute_0_20360,plain,
xor(t3,and(t3,not(t6))) = xor(t4,or(t2,and(t3,not(t6)))),
inference(resolve,[$cnf( $equal(xor(a,xor(a,xor(t3,and(t3,not(t6))))),xor(t4,or(t2,and(t3,not(t6))))) )],[refute_0_20356,refute_0_20359]) ).
cnf(refute_0_20361,plain,
not(not(xor(t3,and(t3,not(t6))))) = xor(t3,and(t3,not(t6))),
inference(subst,[],[not_involution:[bind(X,$fot(xor(t3,and(t3,not(t6)))))]]) ).
cnf(refute_0_20362,plain,
not(xor(t4,or(t2,and(t3,not(t6))))) = xor(t4,not(or(t2,and(t3,not(t6))))),
inference(subst,[],[refute_0_1137:[bind(X_333,$fot(t4)),bind(X_334,$fot(or(t2,and(t3,not(t6)))))]]) ).
cnf(refute_0_20363,plain,
( xor(t3,and(t3,not(t6))) != xor(t4,or(t2,and(t3,not(t6))))
| xor(t4,or(t2,and(t3,not(t6)))) = xor(t3,and(t3,not(t6))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t3,and(t3,not(t6))))),bind(Y0,$fot(xor(t4,or(t2,and(t3,not(t6))))))]]) ).
cnf(refute_0_20364,plain,
xor(t4,or(t2,and(t3,not(t6)))) = xor(t3,and(t3,not(t6))),
inference(resolve,[$cnf( $equal(xor(t3,and(t3,not(t6))),xor(t4,or(t2,and(t3,not(t6))))) )],[refute_0_20360,refute_0_20363]) ).
cnf(refute_0_20365,plain,
( not(xor(t4,or(t2,and(t3,not(t6))))) != xor(t4,not(or(t2,and(t3,not(t6)))))
| xor(t4,or(t2,and(t3,not(t6)))) != xor(t3,and(t3,not(t6)))
| not(xor(t3,and(t3,not(t6)))) = xor(t4,not(or(t2,and(t3,not(t6))))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t4,or(t2,and(t3,not(t6))))),xor(t4,not(or(t2,and(t3,not(t6)))))) ),[0,0],$fot(xor(t3,and(t3,not(t6))))]]) ).
cnf(refute_0_20366,plain,
( not(xor(t4,or(t2,and(t3,not(t6))))) != xor(t4,not(or(t2,and(t3,not(t6)))))
| not(xor(t3,and(t3,not(t6)))) = xor(t4,not(or(t2,and(t3,not(t6))))) ),
inference(resolve,[$cnf( $equal(xor(t4,or(t2,and(t3,not(t6)))),xor(t3,and(t3,not(t6)))) )],[refute_0_20364,refute_0_20365]) ).
cnf(refute_0_20367,plain,
not(xor(t3,and(t3,not(t6)))) = xor(t4,not(or(t2,and(t3,not(t6))))),
inference(resolve,[$cnf( $equal(not(xor(t4,or(t2,and(t3,not(t6))))),xor(t4,not(or(t2,and(t3,not(t6)))))) )],[refute_0_20362,refute_0_20366]) ).
cnf(refute_0_20368,plain,
xor(or(t6,not(t3)),t3) = xor(t3,or(t6,not(t3))),
inference(subst,[],[refute_0_1863:[bind(X_333,$fot(or(t6,not(t3))))]]) ).
cnf(refute_0_20369,plain,
xor(t2,xor(t4,or(t6,not(t3)))) = xor(or(t6,not(t3)),t3),
inference(subst,[],[refute_0_9689:[bind(X,$fot(or(t6,not(t3))))]]) ).
cnf(refute_0_20370,plain,
( xor(or(t6,not(t3)),t3) != xor(t3,or(t6,not(t3)))
| xor(t2,xor(t4,or(t6,not(t3)))) != xor(or(t6,not(t3)),t3)
| xor(t2,xor(t4,or(t6,not(t3)))) = xor(t3,or(t6,not(t3))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,xor(t4,or(t6,not(t3)))))),bind(Y0,$fot(xor(or(t6,not(t3)),t3))),bind(Z0,$fot(xor(t3,or(t6,not(t3)))))]]) ).
cnf(refute_0_20371,plain,
( xor(or(t6,not(t3)),t3) != xor(t3,or(t6,not(t3)))
| xor(t2,xor(t4,or(t6,not(t3)))) = xor(t3,or(t6,not(t3))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t4,or(t6,not(t3)))),xor(or(t6,not(t3)),t3)) )],[refute_0_20369,refute_0_20370]) ).
cnf(refute_0_20372,plain,
xor(t2,xor(t4,or(t6,not(t3)))) = xor(t3,or(t6,not(t3))),
inference(resolve,[$cnf( $equal(xor(or(t6,not(t3)),t3),xor(t3,or(t6,not(t3)))) )],[refute_0_20368,refute_0_20371]) ).
cnf(refute_0_20373,plain,
xor(t4,xor(t2,or(t6,not(t3)))) = xor(t2,xor(t4,or(t6,not(t3)))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(t2)),bind(X_334,$fot(t4)),bind(X_335,$fot(or(t6,not(t3))))]]) ).
cnf(refute_0_20374,plain,
( xor(t2,xor(t4,or(t6,not(t3)))) != xor(t3,or(t6,not(t3)))
| xor(t4,xor(t2,or(t6,not(t3)))) != xor(t2,xor(t4,or(t6,not(t3))))
| xor(t4,xor(t2,or(t6,not(t3)))) = xor(t3,or(t6,not(t3))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t4,xor(t2,or(t6,not(t3)))))),bind(Y0,$fot(xor(t2,xor(t4,or(t6,not(t3)))))),bind(Z0,$fot(xor(t3,or(t6,not(t3)))))]]) ).
cnf(refute_0_20375,plain,
( xor(t2,xor(t4,or(t6,not(t3)))) != xor(t3,or(t6,not(t3)))
| xor(t4,xor(t2,or(t6,not(t3)))) = xor(t3,or(t6,not(t3))) ),
inference(resolve,[$cnf( $equal(xor(t4,xor(t2,or(t6,not(t3)))),xor(t2,xor(t4,or(t6,not(t3))))) )],[refute_0_20373,refute_0_20374]) ).
cnf(refute_0_20376,plain,
xor(t4,xor(t2,or(t6,not(t3)))) = xor(t3,or(t6,not(t3))),
inference(resolve,[$cnf( $equal(xor(t2,xor(t4,or(t6,not(t3)))),xor(t3,or(t6,not(t3)))) )],[refute_0_20372,refute_0_20375]) ).
cnf(refute_0_20377,plain,
not(xor(X_377,or(t2,and(t3,not(t6))))) = xor(X_377,not(or(t2,and(t3,not(t6))))),
inference(subst,[],[refute_0_1137:[bind(X_333,$fot(X_377)),bind(X_334,$fot(or(t2,and(t3,not(t6)))))]]) ).
cnf(refute_0_20378,plain,
( not(or(t2,and(t3,not(t6)))) != xor(t2,or(t6,not(t3)))
| not(xor(X_377,or(t2,and(t3,not(t6))))) != xor(X_377,not(or(t2,and(t3,not(t6)))))
| not(xor(X_377,or(t2,and(t3,not(t6))))) = xor(X_377,xor(t2,or(t6,not(t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(X_377,or(t2,and(t3,not(t6))))),xor(X_377,not(or(t2,and(t3,not(t6)))))) ),[1,1],$fot(xor(t2,or(t6,not(t3))))]]) ).
cnf(refute_0_20379,plain,
( not(xor(X_377,or(t2,and(t3,not(t6))))) != xor(X_377,not(or(t2,and(t3,not(t6)))))
| not(xor(X_377,or(t2,and(t3,not(t6))))) = xor(X_377,xor(t2,or(t6,not(t3)))) ),
inference(resolve,[$cnf( $equal(not(or(t2,and(t3,not(t6)))),xor(t2,or(t6,not(t3)))) )],[refute_0_20283,refute_0_20378]) ).
cnf(refute_0_20380,plain,
not(xor(X_377,or(t2,and(t3,not(t6))))) = xor(X_377,xor(t2,or(t6,not(t3)))),
inference(resolve,[$cnf( $equal(not(xor(X_377,or(t2,and(t3,not(t6))))),xor(X_377,not(or(t2,and(t3,not(t6)))))) )],[refute_0_20377,refute_0_20379]) ).
cnf(refute_0_20381,plain,
not(xor(t4,or(t2,and(t3,not(t6))))) = xor(t4,xor(t2,or(t6,not(t3)))),
inference(subst,[],[refute_0_20380:[bind(X_377,$fot(t4))]]) ).
cnf(refute_0_20382,plain,
( not(xor(t4,or(t2,and(t3,not(t6))))) != xor(t4,xor(t2,or(t6,not(t3))))
| xor(t4,xor(t2,or(t6,not(t3)))) != xor(t3,or(t6,not(t3)))
| not(xor(t4,or(t2,and(t3,not(t6))))) = xor(t3,or(t6,not(t3))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t4,or(t2,and(t3,not(t6))))))),bind(Y0,$fot(xor(t4,xor(t2,or(t6,not(t3)))))),bind(Z0,$fot(xor(t3,or(t6,not(t3)))))]]) ).
cnf(refute_0_20383,plain,
( xor(t4,xor(t2,or(t6,not(t3)))) != xor(t3,or(t6,not(t3)))
| not(xor(t4,or(t2,and(t3,not(t6))))) = xor(t3,or(t6,not(t3))) ),
inference(resolve,[$cnf( $equal(not(xor(t4,or(t2,and(t3,not(t6))))),xor(t4,xor(t2,or(t6,not(t3))))) )],[refute_0_20381,refute_0_20382]) ).
cnf(refute_0_20384,plain,
not(xor(t4,or(t2,and(t3,not(t6))))) = xor(t3,or(t6,not(t3))),
inference(resolve,[$cnf( $equal(xor(t4,xor(t2,or(t6,not(t3)))),xor(t3,or(t6,not(t3)))) )],[refute_0_20376,refute_0_20383]) ).
cnf(refute_0_20385,plain,
xor(t4,not(or(t2,and(t3,not(t6))))) = not(xor(t4,or(t2,and(t3,not(t6))))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t4)),bind(X_334,$fot(or(t2,and(t3,not(t6)))))]]) ).
cnf(refute_0_20386,plain,
( not(xor(t4,or(t2,and(t3,not(t6))))) != xor(t3,or(t6,not(t3)))
| xor(t4,not(or(t2,and(t3,not(t6))))) != not(xor(t4,or(t2,and(t3,not(t6)))))
| xor(t4,not(or(t2,and(t3,not(t6))))) = xor(t3,or(t6,not(t3))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t4,not(or(t2,and(t3,not(t6))))))),bind(Y0,$fot(not(xor(t4,or(t2,and(t3,not(t6))))))),bind(Z0,$fot(xor(t3,or(t6,not(t3)))))]]) ).
cnf(refute_0_20387,plain,
( not(xor(t4,or(t2,and(t3,not(t6))))) != xor(t3,or(t6,not(t3)))
| xor(t4,not(or(t2,and(t3,not(t6))))) = xor(t3,or(t6,not(t3))) ),
inference(resolve,[$cnf( $equal(xor(t4,not(or(t2,and(t3,not(t6))))),not(xor(t4,or(t2,and(t3,not(t6)))))) )],[refute_0_20385,refute_0_20386]) ).
cnf(refute_0_20388,plain,
xor(t4,not(or(t2,and(t3,not(t6))))) = xor(t3,or(t6,not(t3))),
inference(resolve,[$cnf( $equal(not(xor(t4,or(t2,and(t3,not(t6))))),xor(t3,or(t6,not(t3)))) )],[refute_0_20384,refute_0_20387]) ).
cnf(refute_0_20389,plain,
( not(xor(t3,and(t3,not(t6)))) != xor(t4,not(or(t2,and(t3,not(t6)))))
| xor(t4,not(or(t2,and(t3,not(t6))))) != xor(t3,or(t6,not(t3)))
| not(xor(t3,and(t3,not(t6)))) = xor(t3,or(t6,not(t3))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(t3,and(t3,not(t6)))),xor(t3,or(t6,not(t3)))) ),[0],$fot(xor(t4,not(or(t2,and(t3,not(t6))))))]]) ).
cnf(refute_0_20390,plain,
( not(xor(t3,and(t3,not(t6)))) != xor(t4,not(or(t2,and(t3,not(t6)))))
| not(xor(t3,and(t3,not(t6)))) = xor(t3,or(t6,not(t3))) ),
inference(resolve,[$cnf( $equal(xor(t4,not(or(t2,and(t3,not(t6))))),xor(t3,or(t6,not(t3)))) )],[refute_0_20388,refute_0_20389]) ).
cnf(refute_0_20391,plain,
not(xor(t3,and(t3,not(t6)))) = xor(t3,or(t6,not(t3))),
inference(resolve,[$cnf( $equal(not(xor(t3,and(t3,not(t6)))),xor(t4,not(or(t2,and(t3,not(t6)))))) )],[refute_0_20367,refute_0_20390]) ).
cnf(refute_0_20392,plain,
or(and(X_63,not(or(X_20,not(X_63)))),and(not(X_63),or(X_20,not(X_63)))) = xor(X_63,or(X_20,not(X_63))),
inference(subst,[],[refute_0_9:[bind(X,$fot(X_63)),bind(Y,$fot(or(X_20,not(X_63))))]]) ).
cnf(refute_0_20393,plain,
and(not(X_63),or(X_20,not(X_63))) = not(X_63),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(not(X_63)))]]) ).
cnf(refute_0_20394,plain,
( and(not(X_63),or(X_20,not(X_63))) != not(X_63)
| or(and(X_63,not(or(X_20,not(X_63)))),and(not(X_63),or(X_20,not(X_63)))) != xor(X_63,or(X_20,not(X_63)))
| or(and(X_63,not(or(X_20,not(X_63)))),not(X_63)) = xor(X_63,or(X_20,not(X_63))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X_63,not(or(X_20,not(X_63)))),and(not(X_63),or(X_20,not(X_63)))),xor(X_63,or(X_20,not(X_63)))) ),[0,1],$fot(not(X_63))]]) ).
cnf(refute_0_20395,plain,
( or(and(X_63,not(or(X_20,not(X_63)))),and(not(X_63),or(X_20,not(X_63)))) != xor(X_63,or(X_20,not(X_63)))
| or(and(X_63,not(or(X_20,not(X_63)))),not(X_63)) = xor(X_63,or(X_20,not(X_63))) ),
inference(resolve,[$cnf( $equal(and(not(X_63),or(X_20,not(X_63))),not(X_63)) )],[refute_0_20393,refute_0_20394]) ).
cnf(refute_0_20396,plain,
or(and(X_63,not(or(X_20,not(X_63)))),not(X_63)) = xor(X_63,or(X_20,not(X_63))),
inference(resolve,[$cnf( $equal(or(and(X_63,not(or(X_20,not(X_63)))),and(not(X_63),or(X_20,not(X_63)))),xor(X_63,or(X_20,not(X_63)))) )],[refute_0_20392,refute_0_20395]) ).
cnf(refute_0_20397,plain,
or(or(X_36,Y),and(X_36,or(X_36,Y))) = or(X_36,Y),
inference(subst,[],[refute_0_222:[bind(X_13,$fot(or(X_36,Y))),bind(X_14,$fot(X_36))]]) ).
cnf(refute_0_20398,plain,
and(X_36,or(X_36,Y)) = X_36,
inference(subst,[],[and_absorption:[bind(X,$fot(X_36))]]) ).
cnf(refute_0_20399,plain,
( and(X_36,or(X_36,Y)) != X_36
| or(or(X_36,Y),and(X_36,or(X_36,Y))) != or(X_36,Y)
| or(or(X_36,Y),X_36) = or(X_36,Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(X_36,Y),and(X_36,or(X_36,Y))),or(X_36,Y)) ),[0,1],$fot(X_36)]]) ).
cnf(refute_0_20400,plain,
( or(or(X_36,Y),and(X_36,or(X_36,Y))) != or(X_36,Y)
| or(or(X_36,Y),X_36) = or(X_36,Y) ),
inference(resolve,[$cnf( $equal(and(X_36,or(X_36,Y)),X_36) )],[refute_0_20398,refute_0_20399]) ).
cnf(refute_0_20401,plain,
or(or(X_36,Y),X_36) = or(X_36,Y),
inference(resolve,[$cnf( $equal(or(or(X_36,Y),and(X_36,or(X_36,Y))),or(X_36,Y)) )],[refute_0_20397,refute_0_20400]) ).
cnf(refute_0_20402,plain,
or(or(X_36,Y),X_36) = or(X_36,or(Y,X_36)),
inference(subst,[],[or_associative:[bind(X,$fot(X_36)),bind(Z,$fot(X_36))]]) ).
cnf(refute_0_20403,plain,
( or(or(X_36,Y),X_36) != or(X_36,Y)
| or(or(X_36,Y),X_36) != or(X_36,or(Y,X_36))
| or(X_36,or(Y,X_36)) = or(X_36,Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(X_36,Y),X_36),or(X_36,Y)) ),[0],$fot(or(X_36,or(Y,X_36)))]]) ).
cnf(refute_0_20404,plain,
( or(or(X_36,Y),X_36) != or(X_36,Y)
| or(X_36,or(Y,X_36)) = or(X_36,Y) ),
inference(resolve,[$cnf( $equal(or(or(X_36,Y),X_36),or(X_36,or(Y,X_36))) )],[refute_0_20402,refute_0_20403]) ).
cnf(refute_0_20405,plain,
or(X_36,or(Y,X_36)) = or(X_36,Y),
inference(resolve,[$cnf( $equal(or(or(X_36,Y),X_36),or(X_36,Y)) )],[refute_0_20401,refute_0_20404]) ).
cnf(refute_0_20406,plain,
or(not(X_63),or(X_20,not(X_63))) = or(not(X_63),X_20),
inference(subst,[],[refute_0_20405:[bind(Y,$fot(X_20)),bind(X_36,$fot(not(X_63)))]]) ).
cnf(refute_0_20407,plain,
and(X_63,or(not(X_63),or(X_20,not(X_63)))) = and(X_63,or(not(X_63),or(X_20,not(X_63)))),
introduced(tautology,[refl,[$fot(and(X_63,or(not(X_63),or(X_20,not(X_63)))))]]) ).
cnf(refute_0_20408,plain,
( and(X_63,or(not(X_63),or(X_20,not(X_63)))) != and(X_63,or(not(X_63),or(X_20,not(X_63))))
| or(not(X_63),or(X_20,not(X_63))) != or(not(X_63),X_20)
| and(X_63,or(not(X_63),or(X_20,not(X_63)))) = and(X_63,or(not(X_63),X_20)) ),
introduced(tautology,[equality,[$cnf( $equal(and(X_63,or(not(X_63),or(X_20,not(X_63)))),and(X_63,or(not(X_63),or(X_20,not(X_63))))) ),[1,1],$fot(or(not(X_63),X_20))]]) ).
cnf(refute_0_20409,plain,
( or(not(X_63),or(X_20,not(X_63))) != or(not(X_63),X_20)
| and(X_63,or(not(X_63),or(X_20,not(X_63)))) = and(X_63,or(not(X_63),X_20)) ),
inference(resolve,[$cnf( $equal(and(X_63,or(not(X_63),or(X_20,not(X_63)))),and(X_63,or(not(X_63),or(X_20,not(X_63))))) )],[refute_0_20407,refute_0_20408]) ).
cnf(refute_0_20410,plain,
and(X_63,or(not(X_63),or(X_20,not(X_63)))) = and(X_63,or(not(X_63),X_20)),
inference(resolve,[$cnf( $equal(or(not(X_63),or(X_20,not(X_63))),or(not(X_63),X_20)) )],[refute_0_20406,refute_0_20409]) ).
cnf(refute_0_20411,plain,
not(and(X_63,or(not(X_63),or(X_20,not(X_63))))) = not(and(X_63,or(not(X_63),or(X_20,not(X_63))))),
introduced(tautology,[refl,[$fot(not(and(X_63,or(not(X_63),or(X_20,not(X_63))))))]]) ).
cnf(refute_0_20412,plain,
( and(X_63,or(not(X_63),or(X_20,not(X_63)))) != and(X_63,or(not(X_63),X_20))
| not(and(X_63,or(not(X_63),or(X_20,not(X_63))))) != not(and(X_63,or(not(X_63),or(X_20,not(X_63)))))
| not(and(X_63,or(not(X_63),or(X_20,not(X_63))))) = not(and(X_63,or(not(X_63),X_20))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X_63,or(not(X_63),or(X_20,not(X_63))))),not(and(X_63,or(not(X_63),or(X_20,not(X_63)))))) ),[1,0],$fot(and(X_63,or(not(X_63),X_20)))]]) ).
cnf(refute_0_20413,plain,
( and(X_63,or(not(X_63),or(X_20,not(X_63)))) != and(X_63,or(not(X_63),X_20))
| not(and(X_63,or(not(X_63),or(X_20,not(X_63))))) = not(and(X_63,or(not(X_63),X_20))) ),
inference(resolve,[$cnf( $equal(not(and(X_63,or(not(X_63),or(X_20,not(X_63))))),not(and(X_63,or(not(X_63),or(X_20,not(X_63)))))) )],[refute_0_20411,refute_0_20412]) ).
cnf(refute_0_20414,plain,
not(and(X_63,or(not(X_63),or(X_20,not(X_63))))) = not(and(X_63,or(not(X_63),X_20))),
inference(resolve,[$cnf( $equal(and(X_63,or(not(X_63),or(X_20,not(X_63)))),and(X_63,or(not(X_63),X_20))) )],[refute_0_20410,refute_0_20413]) ).
cnf(refute_0_20415,plain,
not(and(or(not(X_63),or(X_20,not(X_63))),X_63)) = not(and(X_63,or(not(X_63),or(X_20,not(X_63))))),
inference(subst,[],[refute_0_333:[bind(X_31,$fot(or(not(X_63),or(X_20,not(X_63))))),bind(X_32,$fot(X_63))]]) ).
cnf(refute_0_20416,plain,
or(and(X_63,not(or(X_20,not(X_63)))),not(X_63)) = not(and(or(not(X_63),or(X_20,not(X_63))),X_63)),
inference(subst,[],[refute_0_458:[bind(X,$fot(X_63)),bind(X_26,$fot(or(X_20,not(X_63)))),bind(X_32,$fot(X_63))]]) ).
cnf(refute_0_20417,plain,
( not(and(or(not(X_63),or(X_20,not(X_63))),X_63)) != not(and(X_63,or(not(X_63),or(X_20,not(X_63)))))
| or(and(X_63,not(or(X_20,not(X_63)))),not(X_63)) != not(and(or(not(X_63),or(X_20,not(X_63))),X_63))
| or(and(X_63,not(or(X_20,not(X_63)))),not(X_63)) = not(and(X_63,or(not(X_63),or(X_20,not(X_63))))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(X_63,not(or(X_20,not(X_63)))),not(X_63)))),bind(Y0,$fot(not(and(or(not(X_63),or(X_20,not(X_63))),X_63)))),bind(Z0,$fot(not(and(X_63,or(not(X_63),or(X_20,not(X_63)))))))]]) ).
cnf(refute_0_20418,plain,
( not(and(or(not(X_63),or(X_20,not(X_63))),X_63)) != not(and(X_63,or(not(X_63),or(X_20,not(X_63)))))
| or(and(X_63,not(or(X_20,not(X_63)))),not(X_63)) = not(and(X_63,or(not(X_63),or(X_20,not(X_63))))) ),
inference(resolve,[$cnf( $equal(or(and(X_63,not(or(X_20,not(X_63)))),not(X_63)),not(and(or(not(X_63),or(X_20,not(X_63))),X_63))) )],[refute_0_20416,refute_0_20417]) ).
cnf(refute_0_20419,plain,
or(and(X_63,not(or(X_20,not(X_63)))),not(X_63)) = not(and(X_63,or(not(X_63),or(X_20,not(X_63))))),
inference(resolve,[$cnf( $equal(not(and(or(not(X_63),or(X_20,not(X_63))),X_63)),not(and(X_63,or(not(X_63),or(X_20,not(X_63)))))) )],[refute_0_20415,refute_0_20418]) ).
cnf(refute_0_20420,plain,
( not(and(X_63,or(not(X_63),or(X_20,not(X_63))))) != not(and(X_63,or(not(X_63),X_20)))
| or(and(X_63,not(or(X_20,not(X_63)))),not(X_63)) != not(and(X_63,or(not(X_63),or(X_20,not(X_63)))))
| or(and(X_63,not(or(X_20,not(X_63)))),not(X_63)) = not(and(X_63,or(not(X_63),X_20))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(X_63,not(or(X_20,not(X_63)))),not(X_63)))),bind(Y0,$fot(not(and(X_63,or(not(X_63),or(X_20,not(X_63))))))),bind(Z0,$fot(not(and(X_63,or(not(X_63),X_20)))))]]) ).
cnf(refute_0_20421,plain,
( not(and(X_63,or(not(X_63),or(X_20,not(X_63))))) != not(and(X_63,or(not(X_63),X_20)))
| or(and(X_63,not(or(X_20,not(X_63)))),not(X_63)) = not(and(X_63,or(not(X_63),X_20))) ),
inference(resolve,[$cnf( $equal(or(and(X_63,not(or(X_20,not(X_63)))),not(X_63)),not(and(X_63,or(not(X_63),or(X_20,not(X_63)))))) )],[refute_0_20419,refute_0_20420]) ).
cnf(refute_0_20422,plain,
or(and(X_63,not(or(X_20,not(X_63)))),not(X_63)) = not(and(X_63,or(not(X_63),X_20))),
inference(resolve,[$cnf( $equal(not(and(X_63,or(not(X_63),or(X_20,not(X_63))))),not(and(X_63,or(not(X_63),X_20)))) )],[refute_0_20414,refute_0_20421]) ).
cnf(refute_0_20423,plain,
( or(and(X_63,not(or(X_20,not(X_63)))),not(X_63)) != not(and(X_63,or(not(X_63),X_20)))
| or(and(X_63,not(or(X_20,not(X_63)))),not(X_63)) != xor(X_63,or(X_20,not(X_63)))
| not(and(X_63,or(not(X_63),X_20))) = xor(X_63,or(X_20,not(X_63))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X_63,not(or(X_20,not(X_63)))),not(X_63)),xor(X_63,or(X_20,not(X_63)))) ),[0],$fot(not(and(X_63,or(not(X_63),X_20))))]]) ).
cnf(refute_0_20424,plain,
( or(and(X_63,not(or(X_20,not(X_63)))),not(X_63)) != xor(X_63,or(X_20,not(X_63)))
| not(and(X_63,or(not(X_63),X_20))) = xor(X_63,or(X_20,not(X_63))) ),
inference(resolve,[$cnf( $equal(or(and(X_63,not(or(X_20,not(X_63)))),not(X_63)),not(and(X_63,or(not(X_63),X_20)))) )],[refute_0_20422,refute_0_20423]) ).
cnf(refute_0_20425,plain,
not(and(X_63,or(not(X_63),X_20))) = xor(X_63,or(X_20,not(X_63))),
inference(resolve,[$cnf( $equal(or(and(X_63,not(or(X_20,not(X_63)))),not(X_63)),xor(X_63,or(X_20,not(X_63)))) )],[refute_0_20396,refute_0_20424]) ).
cnf(refute_0_20426,plain,
and(X_752,or(not(X_752),X_754)) = or(and(X_752,not(X_752)),and(X_752,X_754)),
inference(subst,[],[or_distributive:[bind(X,$fot(X_752)),bind(Y,$fot(not(X_752))),bind(Z,$fot(X_754))]]) ).
cnf(refute_0_20427,plain,
( and(X_752,not(X_752)) != ll0
| and(X_752,or(not(X_752),X_754)) != or(and(X_752,not(X_752)),and(X_752,X_754))
| and(X_752,or(not(X_752),X_754)) = or(ll0,and(X_752,X_754)) ),
introduced(tautology,[equality,[$cnf( $equal(and(X_752,or(not(X_752),X_754)),or(and(X_752,not(X_752)),and(X_752,X_754))) ),[1,0],$fot(ll0)]]) ).
cnf(refute_0_20428,plain,
( and(X_752,or(not(X_752),X_754)) != or(and(X_752,not(X_752)),and(X_752,X_754))
| and(X_752,or(not(X_752),X_754)) = or(ll0,and(X_752,X_754)) ),
inference(resolve,[$cnf( $equal(and(X_752,not(X_752)),ll0) )],[refute_0_14679,refute_0_20427]) ).
cnf(refute_0_20429,plain,
and(X_752,or(not(X_752),X_754)) = or(ll0,and(X_752,X_754)),
inference(resolve,[$cnf( $equal(and(X_752,or(not(X_752),X_754)),or(and(X_752,not(X_752)),and(X_752,X_754))) )],[refute_0_20426,refute_0_20428]) ).
cnf(refute_0_20430,plain,
or(ll0,and(X_752,X_754)) = and(X_752,X_754),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(X_752,X_754)))]]) ).
cnf(refute_0_20431,plain,
( and(X_752,or(not(X_752),X_754)) != or(ll0,and(X_752,X_754))
| or(ll0,and(X_752,X_754)) != and(X_752,X_754)
| and(X_752,or(not(X_752),X_754)) = and(X_752,X_754) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(X_752,or(not(X_752),X_754)),and(X_752,X_754)) ),[0],$fot(or(ll0,and(X_752,X_754)))]]) ).
cnf(refute_0_20432,plain,
( and(X_752,or(not(X_752),X_754)) != or(ll0,and(X_752,X_754))
| and(X_752,or(not(X_752),X_754)) = and(X_752,X_754) ),
inference(resolve,[$cnf( $equal(or(ll0,and(X_752,X_754)),and(X_752,X_754)) )],[refute_0_20430,refute_0_20431]) ).
cnf(refute_0_20433,plain,
and(X_752,or(not(X_752),X_754)) = and(X_752,X_754),
inference(resolve,[$cnf( $equal(and(X_752,or(not(X_752),X_754)),or(ll0,and(X_752,X_754))) )],[refute_0_20429,refute_0_20432]) ).
cnf(refute_0_20434,plain,
and(X_63,or(not(X_63),X_20)) = and(X_63,X_20),
inference(subst,[],[refute_0_20433:[bind(X_752,$fot(X_63)),bind(X_754,$fot(X_20))]]) ).
cnf(refute_0_20435,plain,
not(and(X_63,or(not(X_63),X_20))) = not(and(X_63,or(not(X_63),X_20))),
introduced(tautology,[refl,[$fot(not(and(X_63,or(not(X_63),X_20))))]]) ).
cnf(refute_0_20436,plain,
( and(X_63,or(not(X_63),X_20)) != and(X_63,X_20)
| not(and(X_63,or(not(X_63),X_20))) != not(and(X_63,or(not(X_63),X_20)))
| not(and(X_63,or(not(X_63),X_20))) = not(and(X_63,X_20)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X_63,or(not(X_63),X_20))),not(and(X_63,or(not(X_63),X_20)))) ),[1,0],$fot(and(X_63,X_20))]]) ).
cnf(refute_0_20437,plain,
( and(X_63,or(not(X_63),X_20)) != and(X_63,X_20)
| not(and(X_63,or(not(X_63),X_20))) = not(and(X_63,X_20)) ),
inference(resolve,[$cnf( $equal(not(and(X_63,or(not(X_63),X_20))),not(and(X_63,or(not(X_63),X_20)))) )],[refute_0_20435,refute_0_20436]) ).
cnf(refute_0_20438,plain,
not(and(X_63,or(not(X_63),X_20))) = not(and(X_63,X_20)),
inference(resolve,[$cnf( $equal(and(X_63,or(not(X_63),X_20)),and(X_63,X_20)) )],[refute_0_20434,refute_0_20437]) ).
cnf(refute_0_20439,plain,
( not(and(X_63,or(not(X_63),X_20))) != not(and(X_63,X_20))
| not(and(X_63,or(not(X_63),X_20))) != xor(X_63,or(X_20,not(X_63)))
| not(and(X_63,X_20)) = xor(X_63,or(X_20,not(X_63))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X_63,or(not(X_63),X_20))),xor(X_63,or(X_20,not(X_63)))) ),[0],$fot(not(and(X_63,X_20)))]]) ).
cnf(refute_0_20440,plain,
( not(and(X_63,or(not(X_63),X_20))) != xor(X_63,or(X_20,not(X_63)))
| not(and(X_63,X_20)) = xor(X_63,or(X_20,not(X_63))) ),
inference(resolve,[$cnf( $equal(not(and(X_63,or(not(X_63),X_20))),not(and(X_63,X_20))) )],[refute_0_20438,refute_0_20439]) ).
cnf(refute_0_20441,plain,
not(and(X_63,X_20)) = xor(X_63,or(X_20,not(X_63))),
inference(resolve,[$cnf( $equal(not(and(X_63,or(not(X_63),X_20))),xor(X_63,or(X_20,not(X_63)))) )],[refute_0_20425,refute_0_20440]) ).
cnf(refute_0_20442,plain,
( not(and(X_63,X_20)) != xor(X_63,or(X_20,not(X_63)))
| xor(X_63,or(X_20,not(X_63))) = not(and(X_63,X_20)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(X_63,X_20)))),bind(Y0,$fot(xor(X_63,or(X_20,not(X_63)))))]]) ).
cnf(refute_0_20443,plain,
xor(X_63,or(X_20,not(X_63))) = not(and(X_63,X_20)),
inference(resolve,[$cnf( $equal(not(and(X_63,X_20)),xor(X_63,or(X_20,not(X_63)))) )],[refute_0_20441,refute_0_20442]) ).
cnf(refute_0_20444,plain,
xor(t3,or(t6,not(t3))) = not(and(t3,t6)),
inference(subst,[],[refute_0_20443:[bind(X_20,$fot(t6)),bind(X_63,$fot(t3))]]) ).
cnf(refute_0_20445,plain,
( not(xor(t3,and(t3,not(t6)))) != xor(t3,or(t6,not(t3)))
| xor(t3,or(t6,not(t3))) != not(and(t3,t6))
| not(xor(t3,and(t3,not(t6)))) = not(and(t3,t6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(t3,and(t3,not(t6)))),not(and(t3,t6))) ),[0],$fot(xor(t3,or(t6,not(t3))))]]) ).
cnf(refute_0_20446,plain,
( not(xor(t3,and(t3,not(t6)))) != xor(t3,or(t6,not(t3)))
| not(xor(t3,and(t3,not(t6)))) = not(and(t3,t6)) ),
inference(resolve,[$cnf( $equal(xor(t3,or(t6,not(t3))),not(and(t3,t6))) )],[refute_0_20444,refute_0_20445]) ).
cnf(refute_0_20447,plain,
not(xor(t3,and(t3,not(t6)))) = not(and(t3,t6)),
inference(resolve,[$cnf( $equal(not(xor(t3,and(t3,not(t6)))),xor(t3,or(t6,not(t3)))) )],[refute_0_20391,refute_0_20446]) ).
cnf(refute_0_20448,plain,
( not(not(xor(t3,and(t3,not(t6))))) != xor(t3,and(t3,not(t6)))
| not(xor(t3,and(t3,not(t6)))) != not(and(t3,t6))
| not(not(and(t3,t6))) = xor(t3,and(t3,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(xor(t3,and(t3,not(t6))))),xor(t3,and(t3,not(t6)))) ),[0,0],$fot(not(and(t3,t6)))]]) ).
cnf(refute_0_20449,plain,
( not(not(xor(t3,and(t3,not(t6))))) != xor(t3,and(t3,not(t6)))
| not(not(and(t3,t6))) = xor(t3,and(t3,not(t6))) ),
inference(resolve,[$cnf( $equal(not(xor(t3,and(t3,not(t6)))),not(and(t3,t6))) )],[refute_0_20447,refute_0_20448]) ).
cnf(refute_0_20450,plain,
not(not(and(t3,t6))) = xor(t3,and(t3,not(t6))),
inference(resolve,[$cnf( $equal(not(not(xor(t3,and(t3,not(t6))))),xor(t3,and(t3,not(t6)))) )],[refute_0_20361,refute_0_20449]) ).
cnf(refute_0_20451,plain,
not(not(and(t3,t6))) = and(t3,t6),
inference(subst,[],[not_involution:[bind(X,$fot(and(t3,t6)))]]) ).
cnf(refute_0_20452,plain,
( not(not(and(t3,t6))) != and(t3,t6)
| not(not(and(t3,t6))) != xor(t3,and(t3,not(t6)))
| and(t3,t6) = xor(t3,and(t3,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(t3,t6))),xor(t3,and(t3,not(t6)))) ),[0],$fot(and(t3,t6))]]) ).
cnf(refute_0_20453,plain,
( not(not(and(t3,t6))) != xor(t3,and(t3,not(t6)))
| and(t3,t6) = xor(t3,and(t3,not(t6))) ),
inference(resolve,[$cnf( $equal(not(not(and(t3,t6))),and(t3,t6)) )],[refute_0_20451,refute_0_20452]) ).
cnf(refute_0_20454,plain,
and(t3,t6) = xor(t3,and(t3,not(t6))),
inference(resolve,[$cnf( $equal(not(not(and(t3,t6))),xor(t3,and(t3,not(t6)))) )],[refute_0_20450,refute_0_20453]) ).
cnf(refute_0_20455,plain,
( and(t3,t6) != xor(t3,and(t3,not(t6)))
| xor(t3,and(t3,not(t6))) = and(t3,t6) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t3,t6))),bind(Y0,$fot(xor(t3,and(t3,not(t6)))))]]) ).
cnf(refute_0_20456,plain,
xor(t3,and(t3,not(t6))) = and(t3,t6),
inference(resolve,[$cnf( $equal(and(t3,t6),xor(t3,and(t3,not(t6)))) )],[refute_0_20454,refute_0_20455]) ).
cnf(refute_0_20457,plain,
( xor(t3,and(t3,not(t6))) != and(t3,t6)
| xor(t3,and(t3,not(t6))) != xor(t4,or(t2,and(t3,not(t6))))
| and(t3,t6) = xor(t4,or(t2,and(t3,not(t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,and(t3,not(t6))),xor(t4,or(t2,and(t3,not(t6))))) ),[0],$fot(and(t3,t6))]]) ).
cnf(refute_0_20458,plain,
( xor(t3,and(t3,not(t6))) != xor(t4,or(t2,and(t3,not(t6))))
| and(t3,t6) = xor(t4,or(t2,and(t3,not(t6)))) ),
inference(resolve,[$cnf( $equal(xor(t3,and(t3,not(t6))),and(t3,t6)) )],[refute_0_20456,refute_0_20457]) ).
cnf(refute_0_20459,plain,
and(t3,t6) = xor(t4,or(t2,and(t3,not(t6)))),
inference(resolve,[$cnf( $equal(xor(t3,and(t3,not(t6))),xor(t4,or(t2,and(t3,not(t6))))) )],[refute_0_20360,refute_0_20458]) ).
cnf(refute_0_20460,plain,
( and(t3,t6) != xor(t4,or(t2,and(t3,not(t6))))
| xor(t4,or(t2,and(t3,not(t6)))) = and(t3,t6) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t3,t6))),bind(Y0,$fot(xor(t4,or(t2,and(t3,not(t6))))))]]) ).
cnf(refute_0_20461,plain,
xor(t4,or(t2,and(t3,not(t6)))) = and(t3,t6),
inference(resolve,[$cnf( $equal(and(t3,t6),xor(t4,or(t2,and(t3,not(t6))))) )],[refute_0_20459,refute_0_20460]) ).
cnf(refute_0_20462,plain,
( xor(t4,or(t2,and(t3,not(t6)))) != and(t3,t6)
| xor(t4,xor(t4,or(t2,and(t3,not(t6))))) != or(t2,and(t3,not(t6)))
| xor(t4,and(t3,t6)) = or(t2,and(t3,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,xor(t4,or(t2,and(t3,not(t6))))),or(t2,and(t3,not(t6)))) ),[0,1],$fot(and(t3,t6))]]) ).
cnf(refute_0_20463,plain,
( xor(t4,xor(t4,or(t2,and(t3,not(t6))))) != or(t2,and(t3,not(t6)))
| xor(t4,and(t3,t6)) = or(t2,and(t3,not(t6))) ),
inference(resolve,[$cnf( $equal(xor(t4,or(t2,and(t3,not(t6)))),and(t3,t6)) )],[refute_0_20461,refute_0_20462]) ).
cnf(refute_0_20464,plain,
xor(t4,and(t3,t6)) = or(t2,and(t3,not(t6))),
inference(resolve,[$cnf( $equal(xor(t4,xor(t4,or(t2,and(t3,not(t6))))),or(t2,and(t3,not(t6)))) )],[refute_0_20215,refute_0_20463]) ).
cnf(refute_0_20465,plain,
( xor(t4,and(t3,t6)) != or(t2,and(t3,not(t6)))
| or(t2,and(t3,not(t6))) = xor(t4,and(t3,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t4,and(t3,t6)))),bind(Y0,$fot(or(t2,and(t3,not(t6)))))]]) ).
cnf(refute_0_20466,plain,
or(t2,and(t3,not(t6))) = xor(t4,and(t3,t6)),
inference(resolve,[$cnf( $equal(xor(t4,and(t3,t6)),or(t2,and(t3,not(t6)))) )],[refute_0_20464,refute_0_20465]) ).
cnf(refute_0_20467,plain,
( or(t2,and(t3,not(t6))) != xor(t2,and(t3,not(t6)))
| or(t2,and(t3,not(t6))) != xor(t4,and(t3,t6))
| xor(t4,and(t3,t6)) = xor(t2,and(t3,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,and(t3,not(t6))),xor(t2,and(t3,not(t6)))) ),[0],$fot(xor(t4,and(t3,t6)))]]) ).
cnf(refute_0_20468,plain,
( or(t2,and(t3,not(t6))) != xor(t2,and(t3,not(t6)))
| xor(t4,and(t3,t6)) = xor(t2,and(t3,not(t6))) ),
inference(resolve,[$cnf( $equal(or(t2,and(t3,not(t6))),xor(t4,and(t3,t6))) )],[refute_0_20466,refute_0_20467]) ).
cnf(refute_0_20469,plain,
xor(t4,and(t3,t6)) = xor(t2,and(t3,not(t6))),
inference(resolve,[$cnf( $equal(or(t2,and(t3,not(t6))),xor(t2,and(t3,not(t6)))) )],[refute_0_20214,refute_0_20468]) ).
cnf(refute_0_20470,plain,
xor(t2,not(or(b,t6))) = not(xor(t2,or(b,t6))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t2)),bind(X_334,$fot(or(b,t6)))]]) ).
cnf(refute_0_20471,plain,
and(and(a,not(t2)),X_222) = and(a,and(not(t2),X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(a)),bind(Y,$fot(not(t2))),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_20472,plain,
( and(a,not(t2)) != not(t2)
| and(and(a,not(t2)),X_222) != and(a,and(not(t2),X_222))
| and(not(t2),X_222) = and(a,and(not(t2),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(a,not(t2)),X_222),and(a,and(not(t2),X_222))) ),[0,0],$fot(not(t2))]]) ).
cnf(refute_0_20473,plain,
( and(and(a,not(t2)),X_222) != and(a,and(not(t2),X_222))
| and(not(t2),X_222) = and(a,and(not(t2),X_222)) ),
inference(resolve,[$cnf( $equal(and(a,not(t2)),not(t2)) )],[refute_0_1702,refute_0_20472]) ).
cnf(refute_0_20474,plain,
and(not(t2),X_222) = and(a,and(not(t2),X_222)),
inference(resolve,[$cnf( $equal(and(and(a,not(t2)),X_222),and(a,and(not(t2),X_222))) )],[refute_0_20471,refute_0_20473]) ).
cnf(refute_0_20475,plain,
and(not(t2),xor(t4,and(t3,t6))) = and(a,and(not(t2),xor(t4,and(t3,t6)))),
inference(subst,[],[refute_0_20474:[bind(X_222,$fot(xor(t4,and(t3,t6))))]]) ).
cnf(refute_0_20476,plain,
or(and(t2,not(xor(t4,and(t3,t6)))),and(not(t2),xor(t4,and(t3,t6)))) = xor(t2,xor(t4,and(t3,t6))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t2)),bind(Y,$fot(xor(t4,and(t3,t6))))]]) ).
cnf(refute_0_20477,plain,
ll0 = and(t2,and(not(t2),or(t6,and(t2,t4)))),
inference(subst,[],[refute_0_5426:[bind(X_220,$fot(t2)),bind(X_222,$fot(or(t6,and(t2,t4))))]]) ).
cnf(refute_0_20478,plain,
( and(not(t2),or(t6,and(t2,t4))) != xor(t2,or(t6,and(t2,t4)))
| ll0 != and(t2,and(not(t2),or(t6,and(t2,t4))))
| ll0 = and(t2,xor(t2,or(t6,and(t2,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(t2,and(not(t2),or(t6,and(t2,t4))))) ),[1,1],$fot(xor(t2,or(t6,and(t2,t4))))]]) ).
cnf(refute_0_20479,plain,
( ll0 != and(t2,and(not(t2),or(t6,and(t2,t4))))
| ll0 = and(t2,xor(t2,or(t6,and(t2,t4)))) ),
inference(resolve,[$cnf( $equal(and(not(t2),or(t6,and(t2,t4))),xor(t2,or(t6,and(t2,t4)))) )],[refute_0_20159,refute_0_20478]) ).
cnf(refute_0_20480,plain,
ll0 = and(t2,xor(t2,or(t6,and(t2,t4)))),
inference(resolve,[$cnf( $equal(ll0,and(t2,and(not(t2),or(t6,and(t2,t4))))) )],[refute_0_20477,refute_0_20479]) ).
cnf(refute_0_20481,plain,
and(t2,xor(t2,or(t6,and(t2,t4)))) = and(t2,xor(t2,or(t6,and(t2,t4)))),
introduced(tautology,[refl,[$fot(and(t2,xor(t2,or(t6,and(t2,t4)))))]]) ).
cnf(refute_0_20482,plain,
( and(t2,xor(t2,or(t6,and(t2,t4)))) != and(t2,xor(t2,or(t6,and(t2,t4))))
| xor(t2,or(t6,and(t2,t4))) != xor(t2,or(t6,not(t3)))
| and(t2,xor(t2,or(t6,and(t2,t4)))) = and(t2,xor(t2,or(t6,not(t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,xor(t2,or(t6,and(t2,t4)))),and(t2,xor(t2,or(t6,and(t2,t4))))) ),[1,1],$fot(xor(t2,or(t6,not(t3))))]]) ).
cnf(refute_0_20483,plain,
( xor(t2,or(t6,and(t2,t4))) != xor(t2,or(t6,not(t3)))
| and(t2,xor(t2,or(t6,and(t2,t4)))) = and(t2,xor(t2,or(t6,not(t3)))) ),
inference(resolve,[$cnf( $equal(and(t2,xor(t2,or(t6,and(t2,t4)))),and(t2,xor(t2,or(t6,and(t2,t4))))) )],[refute_0_20481,refute_0_20482]) ).
cnf(refute_0_20484,plain,
and(t2,xor(t2,or(t6,and(t2,t4)))) = and(t2,xor(t2,or(t6,not(t3)))),
inference(resolve,[$cnf( $equal(xor(t2,or(t6,and(t2,t4))),xor(t2,or(t6,not(t3)))) )],[refute_0_20195,refute_0_20483]) ).
cnf(refute_0_20485,plain,
( and(t2,xor(t2,or(t6,and(t2,t4)))) != and(t2,xor(t2,or(t6,not(t3))))
| ll0 != and(t2,xor(t2,or(t6,and(t2,t4))))
| ll0 = and(t2,xor(t2,or(t6,not(t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(t2,xor(t2,or(t6,and(t2,t4))))) ),[1],$fot(and(t2,xor(t2,or(t6,not(t3)))))]]) ).
cnf(refute_0_20486,plain,
( ll0 != and(t2,xor(t2,or(t6,and(t2,t4))))
| ll0 = and(t2,xor(t2,or(t6,not(t3)))) ),
inference(resolve,[$cnf( $equal(and(t2,xor(t2,or(t6,and(t2,t4)))),and(t2,xor(t2,or(t6,not(t3))))) )],[refute_0_20484,refute_0_20485]) ).
cnf(refute_0_20487,plain,
ll0 = and(t2,xor(t2,or(t6,not(t3)))),
inference(resolve,[$cnf( $equal(ll0,and(t2,xor(t2,or(t6,and(t2,t4))))) )],[refute_0_20480,refute_0_20486]) ).
cnf(refute_0_20488,plain,
not(or(t2,and(t3,not(t6)))) = not(or(t2,and(t3,not(t6)))),
introduced(tautology,[refl,[$fot(not(or(t2,and(t3,not(t6)))))]]) ).
cnf(refute_0_20489,plain,
( not(or(t2,and(t3,not(t6)))) != not(or(t2,and(t3,not(t6))))
| or(t2,and(t3,not(t6))) != xor(t4,and(t3,t6))
| not(or(t2,and(t3,not(t6)))) = not(xor(t4,and(t3,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t2,and(t3,not(t6)))),not(or(t2,and(t3,not(t6))))) ),[1,0],$fot(xor(t4,and(t3,t6)))]]) ).
cnf(refute_0_20490,plain,
( or(t2,and(t3,not(t6))) != xor(t4,and(t3,t6))
| not(or(t2,and(t3,not(t6)))) = not(xor(t4,and(t3,t6))) ),
inference(resolve,[$cnf( $equal(not(or(t2,and(t3,not(t6)))),not(or(t2,and(t3,not(t6))))) )],[refute_0_20488,refute_0_20489]) ).
cnf(refute_0_20491,plain,
not(or(t2,and(t3,not(t6)))) = not(xor(t4,and(t3,t6))),
inference(resolve,[$cnf( $equal(or(t2,and(t3,not(t6))),xor(t4,and(t3,t6))) )],[refute_0_20466,refute_0_20490]) ).
cnf(refute_0_20492,plain,
( not(or(t2,and(t3,not(t6)))) != not(xor(t4,and(t3,t6)))
| not(or(t2,and(t3,not(t6)))) != xor(t2,or(t6,not(t3)))
| not(xor(t4,and(t3,t6))) = xor(t2,or(t6,not(t3))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t2,and(t3,not(t6)))),xor(t2,or(t6,not(t3)))) ),[0],$fot(not(xor(t4,and(t3,t6))))]]) ).
cnf(refute_0_20493,plain,
( not(or(t2,and(t3,not(t6)))) != xor(t2,or(t6,not(t3)))
| not(xor(t4,and(t3,t6))) = xor(t2,or(t6,not(t3))) ),
inference(resolve,[$cnf( $equal(not(or(t2,and(t3,not(t6)))),not(xor(t4,and(t3,t6)))) )],[refute_0_20491,refute_0_20492]) ).
cnf(refute_0_20494,plain,
not(xor(t4,and(t3,t6))) = xor(t2,or(t6,not(t3))),
inference(resolve,[$cnf( $equal(not(or(t2,and(t3,not(t6)))),xor(t2,or(t6,not(t3)))) )],[refute_0_20283,refute_0_20493]) ).
cnf(refute_0_20495,plain,
( not(xor(t4,and(t3,t6))) != xor(t2,or(t6,not(t3)))
| xor(t2,or(t6,not(t3))) = not(xor(t4,and(t3,t6))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(xor(t4,and(t3,t6))))),bind(Y0,$fot(xor(t2,or(t6,not(t3)))))]]) ).
cnf(refute_0_20496,plain,
xor(t2,or(t6,not(t3))) = not(xor(t4,and(t3,t6))),
inference(resolve,[$cnf( $equal(not(xor(t4,and(t3,t6))),xor(t2,or(t6,not(t3)))) )],[refute_0_20494,refute_0_20495]) ).
cnf(refute_0_20497,plain,
and(t2,xor(t2,or(t6,not(t3)))) = and(t2,xor(t2,or(t6,not(t3)))),
introduced(tautology,[refl,[$fot(and(t2,xor(t2,or(t6,not(t3)))))]]) ).
cnf(refute_0_20498,plain,
( and(t2,xor(t2,or(t6,not(t3)))) != and(t2,xor(t2,or(t6,not(t3))))
| xor(t2,or(t6,not(t3))) != not(xor(t4,and(t3,t6)))
| and(t2,xor(t2,or(t6,not(t3)))) = and(t2,not(xor(t4,and(t3,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,xor(t2,or(t6,not(t3)))),and(t2,xor(t2,or(t6,not(t3))))) ),[1,1],$fot(not(xor(t4,and(t3,t6))))]]) ).
cnf(refute_0_20499,plain,
( xor(t2,or(t6,not(t3))) != not(xor(t4,and(t3,t6)))
| and(t2,xor(t2,or(t6,not(t3)))) = and(t2,not(xor(t4,and(t3,t6)))) ),
inference(resolve,[$cnf( $equal(and(t2,xor(t2,or(t6,not(t3)))),and(t2,xor(t2,or(t6,not(t3))))) )],[refute_0_20497,refute_0_20498]) ).
cnf(refute_0_20500,plain,
and(t2,xor(t2,or(t6,not(t3)))) = and(t2,not(xor(t4,and(t3,t6)))),
inference(resolve,[$cnf( $equal(xor(t2,or(t6,not(t3))),not(xor(t4,and(t3,t6)))) )],[refute_0_20496,refute_0_20499]) ).
cnf(refute_0_20501,plain,
( and(t2,xor(t2,or(t6,not(t3)))) != and(t2,not(xor(t4,and(t3,t6))))
| ll0 != and(t2,xor(t2,or(t6,not(t3))))
| ll0 = and(t2,not(xor(t4,and(t3,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(t2,xor(t2,or(t6,not(t3))))) ),[1],$fot(and(t2,not(xor(t4,and(t3,t6)))))]]) ).
cnf(refute_0_20502,plain,
( ll0 != and(t2,xor(t2,or(t6,not(t3))))
| ll0 = and(t2,not(xor(t4,and(t3,t6)))) ),
inference(resolve,[$cnf( $equal(and(t2,xor(t2,or(t6,not(t3)))),and(t2,not(xor(t4,and(t3,t6))))) )],[refute_0_20500,refute_0_20501]) ).
cnf(refute_0_20503,plain,
ll0 = and(t2,not(xor(t4,and(t3,t6)))),
inference(resolve,[$cnf( $equal(ll0,and(t2,xor(t2,or(t6,not(t3))))) )],[refute_0_20487,refute_0_20502]) ).
cnf(refute_0_20504,plain,
( ll0 != and(t2,not(xor(t4,and(t3,t6))))
| and(t2,not(xor(t4,and(t3,t6)))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(t2,not(xor(t4,and(t3,t6))))))]]) ).
cnf(refute_0_20505,plain,
and(t2,not(xor(t4,and(t3,t6)))) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(t2,not(xor(t4,and(t3,t6))))) )],[refute_0_20503,refute_0_20504]) ).
cnf(refute_0_20506,plain,
( and(t2,not(xor(t4,and(t3,t6)))) != ll0
| or(and(t2,not(xor(t4,and(t3,t6)))),and(not(t2),xor(t4,and(t3,t6)))) != xor(t2,xor(t4,and(t3,t6)))
| or(ll0,and(not(t2),xor(t4,and(t3,t6)))) = xor(t2,xor(t4,and(t3,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t2,not(xor(t4,and(t3,t6)))),and(not(t2),xor(t4,and(t3,t6)))),xor(t2,xor(t4,and(t3,t6)))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_20507,plain,
( or(and(t2,not(xor(t4,and(t3,t6)))),and(not(t2),xor(t4,and(t3,t6)))) != xor(t2,xor(t4,and(t3,t6)))
| or(ll0,and(not(t2),xor(t4,and(t3,t6)))) = xor(t2,xor(t4,and(t3,t6))) ),
inference(resolve,[$cnf( $equal(and(t2,not(xor(t4,and(t3,t6)))),ll0) )],[refute_0_20505,refute_0_20506]) ).
cnf(refute_0_20508,plain,
or(ll0,and(not(t2),xor(t4,and(t3,t6)))) = xor(t2,xor(t4,and(t3,t6))),
inference(resolve,[$cnf( $equal(or(and(t2,not(xor(t4,and(t3,t6)))),and(not(t2),xor(t4,and(t3,t6)))),xor(t2,xor(t4,and(t3,t6)))) )],[refute_0_20476,refute_0_20507]) ).
cnf(refute_0_20509,plain,
or(ll0,and(not(t2),xor(t4,and(t3,t6)))) = and(not(t2),xor(t4,and(t3,t6))),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(t2),xor(t4,and(t3,t6)))))]]) ).
cnf(refute_0_20510,plain,
( or(ll0,and(not(t2),xor(t4,and(t3,t6)))) != and(not(t2),xor(t4,and(t3,t6)))
| or(ll0,and(not(t2),xor(t4,and(t3,t6)))) != xor(t2,xor(t4,and(t3,t6)))
| and(not(t2),xor(t4,and(t3,t6))) = xor(t2,xor(t4,and(t3,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(t2),xor(t4,and(t3,t6)))),xor(t2,xor(t4,and(t3,t6)))) ),[0],$fot(and(not(t2),xor(t4,and(t3,t6))))]]) ).
cnf(refute_0_20511,plain,
( or(ll0,and(not(t2),xor(t4,and(t3,t6)))) != xor(t2,xor(t4,and(t3,t6)))
| and(not(t2),xor(t4,and(t3,t6))) = xor(t2,xor(t4,and(t3,t6))) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t2),xor(t4,and(t3,t6)))),and(not(t2),xor(t4,and(t3,t6)))) )],[refute_0_20509,refute_0_20510]) ).
cnf(refute_0_20512,plain,
xor(t3,xor(t3,and(t3,not(t6)))) = and(t3,not(t6)),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(t3)),bind(X_335,$fot(and(t3,not(t6))))]]) ).
cnf(refute_0_20513,plain,
( xor(t3,and(t3,not(t6))) != and(t3,t6)
| xor(t3,xor(t3,and(t3,not(t6)))) != and(t3,not(t6))
| xor(t3,and(t3,t6)) = and(t3,not(t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,xor(t3,and(t3,not(t6)))),and(t3,not(t6))) ),[0,1],$fot(and(t3,t6))]]) ).
cnf(refute_0_20514,plain,
( xor(t3,xor(t3,and(t3,not(t6)))) != and(t3,not(t6))
| xor(t3,and(t3,t6)) = and(t3,not(t6)) ),
inference(resolve,[$cnf( $equal(xor(t3,and(t3,not(t6))),and(t3,t6)) )],[refute_0_20456,refute_0_20513]) ).
cnf(refute_0_20515,plain,
xor(t3,and(t3,t6)) = and(t3,not(t6)),
inference(resolve,[$cnf( $equal(xor(t3,xor(t3,and(t3,not(t6)))),and(t3,not(t6))) )],[refute_0_20512,refute_0_20514]) ).
cnf(refute_0_20516,plain,
xor(and(t3,t6),t3) = xor(t3,and(t3,t6)),
inference(subst,[],[refute_0_1863:[bind(X_333,$fot(and(t3,t6)))]]) ).
cnf(refute_0_20517,plain,
( xor(and(t3,t6),t3) != xor(t3,and(t3,t6))
| xor(t3,and(t3,t6)) != and(t3,not(t6))
| xor(and(t3,t6),t3) = and(t3,not(t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(and(t3,t6),t3))),bind(Y0,$fot(xor(t3,and(t3,t6)))),bind(Z0,$fot(and(t3,not(t6))))]]) ).
cnf(refute_0_20518,plain,
( xor(t3,and(t3,t6)) != and(t3,not(t6))
| xor(and(t3,t6),t3) = and(t3,not(t6)) ),
inference(resolve,[$cnf( $equal(xor(and(t3,t6),t3),xor(t3,and(t3,t6))) )],[refute_0_20516,refute_0_20517]) ).
cnf(refute_0_20519,plain,
xor(and(t3,t6),t3) = and(t3,not(t6)),
inference(resolve,[$cnf( $equal(xor(t3,and(t3,t6)),and(t3,not(t6))) )],[refute_0_20515,refute_0_20518]) ).
cnf(refute_0_20520,plain,
xor(t2,xor(t4,and(t3,t6))) = xor(and(t3,t6),t3),
inference(subst,[],[refute_0_9689:[bind(X,$fot(and(t3,t6)))]]) ).
cnf(refute_0_20521,plain,
( xor(and(t3,t6),t3) != and(t3,not(t6))
| xor(t2,xor(t4,and(t3,t6))) != xor(and(t3,t6),t3)
| xor(t2,xor(t4,and(t3,t6))) = and(t3,not(t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,xor(t4,and(t3,t6))))),bind(Y0,$fot(xor(and(t3,t6),t3))),bind(Z0,$fot(and(t3,not(t6))))]]) ).
cnf(refute_0_20522,plain,
( xor(and(t3,t6),t3) != and(t3,not(t6))
| xor(t2,xor(t4,and(t3,t6))) = and(t3,not(t6)) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t4,and(t3,t6))),xor(and(t3,t6),t3)) )],[refute_0_20520,refute_0_20521]) ).
cnf(refute_0_20523,plain,
xor(t2,xor(t4,and(t3,t6))) = and(t3,not(t6)),
inference(resolve,[$cnf( $equal(xor(and(t3,t6),t3),and(t3,not(t6))) )],[refute_0_20519,refute_0_20522]) ).
cnf(refute_0_20524,plain,
( and(not(t2),xor(t4,and(t3,t6))) != xor(t2,xor(t4,and(t3,t6)))
| xor(t2,xor(t4,and(t3,t6))) != and(t3,not(t6))
| and(not(t2),xor(t4,and(t3,t6))) = and(t3,not(t6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(t2),xor(t4,and(t3,t6))),and(t3,not(t6))) ),[0],$fot(xor(t2,xor(t4,and(t3,t6))))]]) ).
cnf(refute_0_20525,plain,
( and(not(t2),xor(t4,and(t3,t6))) != xor(t2,xor(t4,and(t3,t6)))
| and(not(t2),xor(t4,and(t3,t6))) = and(t3,not(t6)) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t4,and(t3,t6))),and(t3,not(t6))) )],[refute_0_20523,refute_0_20524]) ).
cnf(refute_0_20526,plain,
( or(ll0,and(not(t2),xor(t4,and(t3,t6)))) != xor(t2,xor(t4,and(t3,t6)))
| and(not(t2),xor(t4,and(t3,t6))) = and(t3,not(t6)) ),
inference(resolve,[$cnf( $equal(and(not(t2),xor(t4,and(t3,t6))),xor(t2,xor(t4,and(t3,t6)))) )],[refute_0_20511,refute_0_20525]) ).
cnf(refute_0_20527,plain,
and(not(t2),xor(t4,and(t3,t6))) = and(t3,not(t6)),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t2),xor(t4,and(t3,t6)))),xor(t2,xor(t4,and(t3,t6)))) )],[refute_0_20508,refute_0_20526]) ).
cnf(refute_0_20528,plain,
( and(not(t2),xor(t4,and(t3,t6))) != and(a,and(not(t2),xor(t4,and(t3,t6))))
| and(not(t2),xor(t4,and(t3,t6))) != and(t3,not(t6))
| and(not(t2),xor(t4,and(t3,t6))) = and(a,and(t3,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),xor(t4,and(t3,t6))),and(a,and(not(t2),xor(t4,and(t3,t6))))) ),[1,1],$fot(and(t3,not(t6)))]]) ).
cnf(refute_0_20529,plain,
( and(not(t2),xor(t4,and(t3,t6))) != and(a,and(not(t2),xor(t4,and(t3,t6))))
| and(not(t2),xor(t4,and(t3,t6))) = and(a,and(t3,not(t6))) ),
inference(resolve,[$cnf( $equal(and(not(t2),xor(t4,and(t3,t6))),and(t3,not(t6))) )],[refute_0_20527,refute_0_20528]) ).
cnf(refute_0_20530,plain,
and(not(t2),xor(t4,and(t3,t6))) = and(a,and(t3,not(t6))),
inference(resolve,[$cnf( $equal(and(not(t2),xor(t4,and(t3,t6))),and(a,and(not(t2),xor(t4,and(t3,t6))))) )],[refute_0_20475,refute_0_20529]) ).
cnf(refute_0_20531,plain,
( and(not(t2),xor(t4,and(t3,t6))) != and(a,and(t3,not(t6)))
| and(not(t2),xor(t4,and(t3,t6))) != and(t3,not(t6))
| and(t3,not(t6)) = and(a,and(t3,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),xor(t4,and(t3,t6))),and(a,and(t3,not(t6)))) ),[0],$fot(and(t3,not(t6)))]]) ).
cnf(refute_0_20532,plain,
( and(not(t2),xor(t4,and(t3,t6))) != and(a,and(t3,not(t6)))
| and(t3,not(t6)) = and(a,and(t3,not(t6))) ),
inference(resolve,[$cnf( $equal(and(not(t2),xor(t4,and(t3,t6))),and(t3,not(t6))) )],[refute_0_20527,refute_0_20531]) ).
cnf(refute_0_20533,plain,
and(not(t2),xor(carry,or(t4,and(carry,t5)))) = and(a,and(t1,xor(carry,or(t4,and(carry,t5))))),
inference(subst,[],[refute_0_1927:[bind(X_222,$fot(xor(carry,or(t4,and(carry,t5)))))]]) ).
cnf(refute_0_20534,plain,
( xor(carry,or(t4,and(carry,t5))) != and(t1,xor(carry,or(t4,and(carry,t5))))
| and(t1,xor(carry,or(t4,and(carry,t5)))) = xor(carry,or(t4,and(carry,t5))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(carry,or(t4,and(carry,t5))))),bind(Y0,$fot(and(t1,xor(carry,or(t4,and(carry,t5))))))]]) ).
cnf(refute_0_20535,plain,
and(t1,xor(carry,or(t4,and(carry,t5)))) = xor(carry,or(t4,and(carry,t5))),
inference(resolve,[$cnf( $equal(xor(carry,or(t4,and(carry,t5))),and(t1,xor(carry,or(t4,and(carry,t5))))) )],[refute_0_10502,refute_0_20534]) ).
cnf(refute_0_20536,plain,
( and(not(t2),xor(carry,or(t4,and(carry,t5)))) != and(a,and(t1,xor(carry,or(t4,and(carry,t5)))))
| and(t1,xor(carry,or(t4,and(carry,t5)))) != xor(carry,or(t4,and(carry,t5)))
| and(not(t2),xor(carry,or(t4,and(carry,t5)))) = and(a,xor(carry,or(t4,and(carry,t5)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),xor(carry,or(t4,and(carry,t5)))),and(a,and(t1,xor(carry,or(t4,and(carry,t5)))))) ),[1,1],$fot(xor(carry,or(t4,and(carry,t5))))]]) ).
cnf(refute_0_20537,plain,
( and(not(t2),xor(carry,or(t4,and(carry,t5)))) != and(a,and(t1,xor(carry,or(t4,and(carry,t5)))))
| and(not(t2),xor(carry,or(t4,and(carry,t5)))) = and(a,xor(carry,or(t4,and(carry,t5)))) ),
inference(resolve,[$cnf( $equal(and(t1,xor(carry,or(t4,and(carry,t5)))),xor(carry,or(t4,and(carry,t5)))) )],[refute_0_20535,refute_0_20536]) ).
cnf(refute_0_20538,plain,
and(not(t2),xor(carry,or(t4,and(carry,t5)))) = and(a,xor(carry,or(t4,and(carry,t5)))),
inference(resolve,[$cnf( $equal(and(not(t2),xor(carry,or(t4,and(carry,t5)))),and(a,and(t1,xor(carry,or(t4,and(carry,t5)))))) )],[refute_0_20533,refute_0_20537]) ).
cnf(refute_0_20539,plain,
and(not(t2),xor(carry,or(t4,and(carry,t5)))) = and(not(t2),xor(carry,or(t4,and(carry,t5)))),
introduced(tautology,[refl,[$fot(and(not(t2),xor(carry,or(t4,and(carry,t5)))))]]) ).
cnf(refute_0_20540,plain,
( and(not(t2),xor(carry,or(t4,and(carry,t5)))) != and(not(t2),xor(carry,or(t4,and(carry,t5))))
| xor(carry,or(t4,and(carry,t5))) != xor(carry,or(carry,t4))
| and(not(t2),xor(carry,or(t4,and(carry,t5)))) = and(not(t2),xor(carry,or(carry,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),xor(carry,or(t4,and(carry,t5)))),and(not(t2),xor(carry,or(t4,and(carry,t5))))) ),[1,1],$fot(xor(carry,or(carry,t4)))]]) ).
cnf(refute_0_20541,plain,
( xor(carry,or(t4,and(carry,t5))) != xor(carry,or(carry,t4))
| and(not(t2),xor(carry,or(t4,and(carry,t5)))) = and(not(t2),xor(carry,or(carry,t4))) ),
inference(resolve,[$cnf( $equal(and(not(t2),xor(carry,or(t4,and(carry,t5)))),and(not(t2),xor(carry,or(t4,and(carry,t5))))) )],[refute_0_20539,refute_0_20540]) ).
cnf(refute_0_20542,plain,
and(not(t2),xor(carry,or(t4,and(carry,t5)))) = and(not(t2),xor(carry,or(carry,t4))),
inference(resolve,[$cnf( $equal(xor(carry,or(t4,and(carry,t5))),xor(carry,or(carry,t4))) )],[refute_0_10513,refute_0_20541]) ).
cnf(refute_0_20543,plain,
( and(not(t2),xor(carry,or(t4,and(carry,t5)))) != and(a,xor(carry,or(t4,and(carry,t5))))
| and(not(t2),xor(carry,or(t4,and(carry,t5)))) != and(not(t2),xor(carry,or(carry,t4)))
| and(not(t2),xor(carry,or(carry,t4))) = and(a,xor(carry,or(t4,and(carry,t5)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),xor(carry,or(t4,and(carry,t5)))),and(a,xor(carry,or(t4,and(carry,t5))))) ),[0],$fot(and(not(t2),xor(carry,or(carry,t4))))]]) ).
cnf(refute_0_20544,plain,
( and(not(t2),xor(carry,or(t4,and(carry,t5)))) != and(a,xor(carry,or(t4,and(carry,t5))))
| and(not(t2),xor(carry,or(carry,t4))) = and(a,xor(carry,or(t4,and(carry,t5)))) ),
inference(resolve,[$cnf( $equal(and(not(t2),xor(carry,or(t4,and(carry,t5)))),and(not(t2),xor(carry,or(carry,t4)))) )],[refute_0_20542,refute_0_20543]) ).
cnf(refute_0_20545,plain,
and(a,xor(carry,or(t4,and(carry,t5)))) = and(a,xor(carry,or(t4,and(carry,t5)))),
introduced(tautology,[refl,[$fot(and(a,xor(carry,or(t4,and(carry,t5)))))]]) ).
cnf(refute_0_20546,plain,
( and(a,xor(carry,or(t4,and(carry,t5)))) != and(a,xor(carry,or(t4,and(carry,t5))))
| xor(carry,or(t4,and(carry,t5))) != xor(carry,or(carry,t4))
| and(a,xor(carry,or(t4,and(carry,t5)))) = and(a,xor(carry,or(carry,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(and(a,xor(carry,or(t4,and(carry,t5)))),and(a,xor(carry,or(t4,and(carry,t5))))) ),[1,1],$fot(xor(carry,or(carry,t4)))]]) ).
cnf(refute_0_20547,plain,
( xor(carry,or(t4,and(carry,t5))) != xor(carry,or(carry,t4))
| and(a,xor(carry,or(t4,and(carry,t5)))) = and(a,xor(carry,or(carry,t4))) ),
inference(resolve,[$cnf( $equal(and(a,xor(carry,or(t4,and(carry,t5)))),and(a,xor(carry,or(t4,and(carry,t5))))) )],[refute_0_20545,refute_0_20546]) ).
cnf(refute_0_20548,plain,
and(a,xor(carry,or(t4,and(carry,t5)))) = and(a,xor(carry,or(carry,t4))),
inference(resolve,[$cnf( $equal(xor(carry,or(t4,and(carry,t5))),xor(carry,or(carry,t4))) )],[refute_0_10513,refute_0_20547]) ).
cnf(refute_0_20549,plain,
( and(a,xor(carry,or(t4,and(carry,t5)))) != and(a,xor(carry,or(carry,t4)))
| and(not(t2),xor(carry,or(carry,t4))) != and(a,xor(carry,or(t4,and(carry,t5))))
| and(not(t2),xor(carry,or(carry,t4))) = and(a,xor(carry,or(carry,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),xor(carry,or(carry,t4))),and(a,xor(carry,or(t4,and(carry,t5))))) ),[1],$fot(and(a,xor(carry,or(carry,t4))))]]) ).
cnf(refute_0_20550,plain,
( and(not(t2),xor(carry,or(carry,t4))) != and(a,xor(carry,or(t4,and(carry,t5))))
| and(not(t2),xor(carry,or(carry,t4))) = and(a,xor(carry,or(carry,t4))) ),
inference(resolve,[$cnf( $equal(and(a,xor(carry,or(t4,and(carry,t5)))),and(a,xor(carry,or(carry,t4)))) )],[refute_0_20548,refute_0_20549]) ).
cnf(refute_0_20551,plain,
( and(not(t2),xor(carry,or(t4,and(carry,t5)))) != and(a,xor(carry,or(t4,and(carry,t5))))
| and(not(t2),xor(carry,or(carry,t4))) = and(a,xor(carry,or(carry,t4))) ),
inference(resolve,[$cnf( $equal(and(not(t2),xor(carry,or(carry,t4))),and(a,xor(carry,or(t4,and(carry,t5))))) )],[refute_0_20544,refute_0_20550]) ).
cnf(refute_0_20552,plain,
and(not(t2),xor(carry,or(carry,t4))) = and(a,xor(carry,or(carry,t4))),
inference(resolve,[$cnf( $equal(and(not(t2),xor(carry,or(t4,and(carry,t5)))),and(a,xor(carry,or(t4,and(carry,t5))))) )],[refute_0_20538,refute_0_20551]) ).
cnf(refute_0_20553,plain,
and(not(t2),not(t6)) = not(or(t2,t6)),
inference(subst,[],[refute_0_101:[bind(X,$fot(t2)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_20554,plain,
( and(not(t2),not(t6)) != not(or(t2,t6))
| not(or(t2,t6)) != not(or(carry,t2))
| and(not(t2),not(t6)) = not(or(carry,t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t2),not(t6)))),bind(Y0,$fot(not(or(t2,t6)))),bind(Z0,$fot(not(or(carry,t2))))]]) ).
cnf(refute_0_20555,plain,
( not(or(t2,t6)) != not(or(carry,t2))
| and(not(t2),not(t6)) = not(or(carry,t2)) ),
inference(resolve,[$cnf( $equal(and(not(t2),not(t6)),not(or(t2,t6))) )],[refute_0_20553,refute_0_20554]) ).
cnf(refute_0_20556,plain,
and(not(t2),not(t6)) = not(or(carry,t2)),
inference(resolve,[$cnf( $equal(not(or(t2,t6)),not(or(carry,t2))) )],[refute_0_19458,refute_0_20555]) ).
cnf(refute_0_20557,plain,
and(not(t2),xor(carry,or(carry,t4))) = and(not(t2),xor(carry,or(carry,t4))),
introduced(tautology,[refl,[$fot(and(not(t2),xor(carry,or(carry,t4))))]]) ).
cnf(refute_0_20558,plain,
( and(not(t2),xor(carry,or(carry,t4))) != and(not(t2),xor(carry,or(carry,t4)))
| xor(carry,or(carry,t4)) != not(t6)
| and(not(t2),xor(carry,or(carry,t4))) = and(not(t2),not(t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),xor(carry,or(carry,t4))),and(not(t2),xor(carry,or(carry,t4)))) ),[1,1],$fot(not(t6))]]) ).
cnf(refute_0_20559,plain,
( xor(carry,or(carry,t4)) != not(t6)
| and(not(t2),xor(carry,or(carry,t4))) = and(not(t2),not(t6)) ),
inference(resolve,[$cnf( $equal(and(not(t2),xor(carry,or(carry,t4))),and(not(t2),xor(carry,or(carry,t4)))) )],[refute_0_20557,refute_0_20558]) ).
cnf(refute_0_20560,plain,
and(not(t2),xor(carry,or(carry,t4))) = and(not(t2),not(t6)),
inference(resolve,[$cnf( $equal(xor(carry,or(carry,t4)),not(t6)) )],[refute_0_10602,refute_0_20559]) ).
cnf(refute_0_20561,plain,
( and(not(t2),not(t6)) != not(or(carry,t2))
| and(not(t2),xor(carry,or(carry,t4))) != and(not(t2),not(t6))
| and(not(t2),xor(carry,or(carry,t4))) = not(or(carry,t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t2),xor(carry,or(carry,t4))))),bind(Y0,$fot(and(not(t2),not(t6)))),bind(Z0,$fot(not(or(carry,t2))))]]) ).
cnf(refute_0_20562,plain,
( and(not(t2),not(t6)) != not(or(carry,t2))
| and(not(t2),xor(carry,or(carry,t4))) = not(or(carry,t2)) ),
inference(resolve,[$cnf( $equal(and(not(t2),xor(carry,or(carry,t4))),and(not(t2),not(t6))) )],[refute_0_20560,refute_0_20561]) ).
cnf(refute_0_20563,plain,
and(not(t2),xor(carry,or(carry,t4))) = not(or(carry,t2)),
inference(resolve,[$cnf( $equal(and(not(t2),not(t6)),not(or(carry,t2))) )],[refute_0_20556,refute_0_20562]) ).
cnf(refute_0_20564,plain,
( and(not(t2),xor(carry,or(carry,t4))) != and(a,xor(carry,or(carry,t4)))
| and(not(t2),xor(carry,or(carry,t4))) != not(or(carry,t2))
| not(or(carry,t2)) = and(a,xor(carry,or(carry,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),xor(carry,or(carry,t4))),and(a,xor(carry,or(carry,t4)))) ),[0],$fot(not(or(carry,t2)))]]) ).
cnf(refute_0_20565,plain,
( and(not(t2),xor(carry,or(carry,t4))) != and(a,xor(carry,or(carry,t4)))
| not(or(carry,t2)) = and(a,xor(carry,or(carry,t4))) ),
inference(resolve,[$cnf( $equal(and(not(t2),xor(carry,or(carry,t4))),not(or(carry,t2))) )],[refute_0_20563,refute_0_20564]) ).
cnf(refute_0_20566,plain,
and(a,xor(carry,or(carry,t4))) = and(a,xor(carry,or(carry,t4))),
introduced(tautology,[refl,[$fot(and(a,xor(carry,or(carry,t4))))]]) ).
cnf(refute_0_20567,plain,
( and(a,xor(carry,or(carry,t4))) != and(a,xor(carry,or(carry,t4)))
| xor(carry,or(carry,t4)) != not(t6)
| and(a,xor(carry,or(carry,t4))) = and(a,not(t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(a,xor(carry,or(carry,t4))),and(a,xor(carry,or(carry,t4)))) ),[1,1],$fot(not(t6))]]) ).
cnf(refute_0_20568,plain,
( xor(carry,or(carry,t4)) != not(t6)
| and(a,xor(carry,or(carry,t4))) = and(a,not(t6)) ),
inference(resolve,[$cnf( $equal(and(a,xor(carry,or(carry,t4))),and(a,xor(carry,or(carry,t4)))) )],[refute_0_20566,refute_0_20567]) ).
cnf(refute_0_20569,plain,
and(a,xor(carry,or(carry,t4))) = and(a,not(t6)),
inference(resolve,[$cnf( $equal(xor(carry,or(carry,t4)),not(t6)) )],[refute_0_10602,refute_0_20568]) ).
cnf(refute_0_20570,plain,
( and(a,xor(carry,or(carry,t4))) != and(a,not(t6))
| not(or(carry,t2)) != and(a,xor(carry,or(carry,t4)))
| not(or(carry,t2)) = and(a,not(t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,t2)),and(a,xor(carry,or(carry,t4)))) ),[1],$fot(and(a,not(t6)))]]) ).
cnf(refute_0_20571,plain,
( not(or(carry,t2)) != and(a,xor(carry,or(carry,t4)))
| not(or(carry,t2)) = and(a,not(t6)) ),
inference(resolve,[$cnf( $equal(and(a,xor(carry,or(carry,t4))),and(a,not(t6))) )],[refute_0_20569,refute_0_20570]) ).
cnf(refute_0_20572,plain,
( and(not(t2),xor(carry,or(carry,t4))) != and(a,xor(carry,or(carry,t4)))
| not(or(carry,t2)) = and(a,not(t6)) ),
inference(resolve,[$cnf( $equal(not(or(carry,t2)),and(a,xor(carry,or(carry,t4)))) )],[refute_0_20565,refute_0_20571]) ).
cnf(refute_0_20573,plain,
not(or(carry,t2)) = and(a,not(t6)),
inference(resolve,[$cnf( $equal(and(not(t2),xor(carry,or(carry,t4))),and(a,xor(carry,or(carry,t4)))) )],[refute_0_20552,refute_0_20572]) ).
cnf(refute_0_20574,plain,
not(or(carry,t2)) = not(or(carry,t2)),
introduced(tautology,[refl,[$fot(not(or(carry,t2)))]]) ).
cnf(refute_0_20575,plain,
( not(or(carry,t2)) != not(or(carry,t2))
| or(carry,t2) != or(b,t6)
| not(or(carry,t2)) = not(or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,t2)),not(or(carry,t2))) ),[1,0],$fot(or(b,t6))]]) ).
cnf(refute_0_20576,plain,
( or(carry,t2) != or(b,t6)
| not(or(carry,t2)) = not(or(b,t6)) ),
inference(resolve,[$cnf( $equal(not(or(carry,t2)),not(or(carry,t2))) )],[refute_0_20574,refute_0_20575]) ).
cnf(refute_0_20577,plain,
not(or(carry,t2)) = not(or(b,t6)),
inference(resolve,[$cnf( $equal(or(carry,t2),or(b,t6)) )],[refute_0_19502,refute_0_20576]) ).
cnf(refute_0_20578,plain,
( not(or(carry,t2)) != and(a,not(t6))
| not(or(carry,t2)) != not(or(b,t6))
| not(or(b,t6)) = and(a,not(t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,t2)),and(a,not(t6))) ),[0],$fot(not(or(b,t6)))]]) ).
cnf(refute_0_20579,plain,
( not(or(carry,t2)) != and(a,not(t6))
| not(or(b,t6)) = and(a,not(t6)) ),
inference(resolve,[$cnf( $equal(not(or(carry,t2)),not(or(b,t6))) )],[refute_0_20577,refute_0_20578]) ).
cnf(refute_0_20580,plain,
not(or(b,t6)) = and(a,not(t6)),
inference(resolve,[$cnf( $equal(not(or(carry,t2)),and(a,not(t6))) )],[refute_0_20573,refute_0_20579]) ).
cnf(refute_0_20581,plain,
( not(or(b,t6)) != and(a,not(t6))
| and(a,not(t6)) = not(or(b,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(b,t6)))),bind(Y0,$fot(and(a,not(t6))))]]) ).
cnf(refute_0_20582,plain,
and(a,not(t6)) = not(or(b,t6)),
inference(resolve,[$cnf( $equal(not(or(b,t6)),and(a,not(t6))) )],[refute_0_20580,refute_0_20581]) ).
cnf(refute_0_20583,plain,
and(and(a,t3),Z) = and(a,and(t3,Z)),
inference(subst,[],[and_associative:[bind(X,$fot(a)),bind(Y,$fot(t3))]]) ).
cnf(refute_0_20584,plain,
and(a,or(a,t3)) = a,
inference(subst,[],[and_absorption:[bind(X,$fot(a)),bind(Y,$fot(t3))]]) ).
cnf(refute_0_20585,plain,
( and(a,or(a,t3)) != a
| or(a,t3) != t3
| and(a,t3) = a ),
introduced(tautology,[equality,[$cnf( $equal(and(a,or(a,t3)),a) ),[0,1],$fot(t3)]]) ).
cnf(refute_0_20586,plain,
( and(a,or(a,t3)) != a
| and(a,t3) = a ),
inference(resolve,[$cnf( $equal(or(a,t3),t3) )],[refute_0_6919,refute_0_20585]) ).
cnf(refute_0_20587,plain,
and(a,t3) = a,
inference(resolve,[$cnf( $equal(and(a,or(a,t3)),a) )],[refute_0_20584,refute_0_20586]) ).
cnf(refute_0_20588,plain,
( and(a,t3) != a
| and(and(a,t3),Z) != and(a,and(t3,Z))
| and(a,Z) = and(a,and(t3,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(a,t3),Z),and(a,and(t3,Z))) ),[0,0],$fot(a)]]) ).
cnf(refute_0_20589,plain,
( and(and(a,t3),Z) != and(a,and(t3,Z))
| and(a,Z) = and(a,and(t3,Z)) ),
inference(resolve,[$cnf( $equal(and(a,t3),a) )],[refute_0_20587,refute_0_20588]) ).
cnf(refute_0_20590,plain,
and(a,Z) = and(a,and(t3,Z)),
inference(resolve,[$cnf( $equal(and(and(a,t3),Z),and(a,and(t3,Z))) )],[refute_0_20583,refute_0_20589]) ).
cnf(refute_0_20591,plain,
( and(a,Z) != and(a,and(t3,Z))
| and(a,and(t3,Z)) = and(a,Z) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(a,Z))),bind(Y0,$fot(and(a,and(t3,Z))))]]) ).
cnf(refute_0_20592,plain,
and(a,and(t3,Z)) = and(a,Z),
inference(resolve,[$cnf( $equal(and(a,Z),and(a,and(t3,Z))) )],[refute_0_20590,refute_0_20591]) ).
cnf(refute_0_20593,plain,
and(a,and(t3,not(t6))) = and(a,not(t6)),
inference(subst,[],[refute_0_20592:[bind(Z,$fot(not(t6)))]]) ).
cnf(refute_0_20594,plain,
( and(a,and(t3,not(t6))) != and(a,not(t6))
| and(a,not(t6)) != not(or(b,t6))
| and(a,and(t3,not(t6))) = not(or(b,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(a,and(t3,not(t6))))),bind(Y0,$fot(and(a,not(t6)))),bind(Z0,$fot(not(or(b,t6))))]]) ).
cnf(refute_0_20595,plain,
( and(a,not(t6)) != not(or(b,t6))
| and(a,and(t3,not(t6))) = not(or(b,t6)) ),
inference(resolve,[$cnf( $equal(and(a,and(t3,not(t6))),and(a,not(t6))) )],[refute_0_20593,refute_0_20594]) ).
cnf(refute_0_20596,plain,
and(a,and(t3,not(t6))) = not(or(b,t6)),
inference(resolve,[$cnf( $equal(and(a,not(t6)),not(or(b,t6))) )],[refute_0_20582,refute_0_20595]) ).
cnf(refute_0_20597,plain,
( and(a,and(t3,not(t6))) != not(or(b,t6))
| and(t3,not(t6)) != and(a,and(t3,not(t6)))
| and(t3,not(t6)) = not(or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,not(t6)),and(a,and(t3,not(t6)))) ),[1],$fot(not(or(b,t6)))]]) ).
cnf(refute_0_20598,plain,
( and(t3,not(t6)) != and(a,and(t3,not(t6)))
| and(t3,not(t6)) = not(or(b,t6)) ),
inference(resolve,[$cnf( $equal(and(a,and(t3,not(t6))),not(or(b,t6))) )],[refute_0_20596,refute_0_20597]) ).
cnf(refute_0_20599,plain,
( and(not(t2),xor(t4,and(t3,t6))) != and(a,and(t3,not(t6)))
| and(t3,not(t6)) = not(or(b,t6)) ),
inference(resolve,[$cnf( $equal(and(t3,not(t6)),and(a,and(t3,not(t6)))) )],[refute_0_20532,refute_0_20598]) ).
cnf(refute_0_20600,plain,
and(t3,not(t6)) = not(or(b,t6)),
inference(resolve,[$cnf( $equal(and(not(t2),xor(t4,and(t3,t6))),and(a,and(t3,not(t6)))) )],[refute_0_20530,refute_0_20599]) ).
cnf(refute_0_20601,plain,
xor(t2,and(t3,not(t6))) = xor(t2,and(t3,not(t6))),
introduced(tautology,[refl,[$fot(xor(t2,and(t3,not(t6))))]]) ).
cnf(refute_0_20602,plain,
( and(t3,not(t6)) != not(or(b,t6))
| xor(t2,and(t3,not(t6))) != xor(t2,and(t3,not(t6)))
| xor(t2,and(t3,not(t6))) = xor(t2,not(or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,and(t3,not(t6))),xor(t2,and(t3,not(t6)))) ),[1,1],$fot(not(or(b,t6)))]]) ).
cnf(refute_0_20603,plain,
( and(t3,not(t6)) != not(or(b,t6))
| xor(t2,and(t3,not(t6))) = xor(t2,not(or(b,t6))) ),
inference(resolve,[$cnf( $equal(xor(t2,and(t3,not(t6))),xor(t2,and(t3,not(t6)))) )],[refute_0_20601,refute_0_20602]) ).
cnf(refute_0_20604,plain,
xor(t2,and(t3,not(t6))) = xor(t2,not(or(b,t6))),
inference(resolve,[$cnf( $equal(and(t3,not(t6)),not(or(b,t6))) )],[refute_0_20600,refute_0_20603]) ).
cnf(refute_0_20605,plain,
( xor(t2,and(t3,not(t6))) != xor(t2,not(or(b,t6)))
| xor(t2,not(or(b,t6))) != not(xor(t2,or(b,t6)))
| xor(t2,and(t3,not(t6))) = not(xor(t2,or(b,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,and(t3,not(t6))))),bind(Y0,$fot(xor(t2,not(or(b,t6))))),bind(Z0,$fot(not(xor(t2,or(b,t6)))))]]) ).
cnf(refute_0_20606,plain,
( xor(t2,not(or(b,t6))) != not(xor(t2,or(b,t6)))
| xor(t2,and(t3,not(t6))) = not(xor(t2,or(b,t6))) ),
inference(resolve,[$cnf( $equal(xor(t2,and(t3,not(t6))),xor(t2,not(or(b,t6)))) )],[refute_0_20604,refute_0_20605]) ).
cnf(refute_0_20607,plain,
xor(t2,and(t3,not(t6))) = not(xor(t2,or(b,t6))),
inference(resolve,[$cnf( $equal(xor(t2,not(or(b,t6))),not(xor(t2,or(b,t6)))) )],[refute_0_20470,refute_0_20606]) ).
cnf(refute_0_20608,plain,
( xor(t2,and(t3,not(t6))) != not(xor(t2,or(b,t6)))
| xor(t4,and(t3,t6)) != xor(t2,and(t3,not(t6)))
| xor(t4,and(t3,t6)) = not(xor(t2,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,and(t3,t6)),xor(t2,and(t3,not(t6)))) ),[1],$fot(not(xor(t2,or(b,t6))))]]) ).
cnf(refute_0_20609,plain,
( xor(t4,and(t3,t6)) != xor(t2,and(t3,not(t6)))
| xor(t4,and(t3,t6)) = not(xor(t2,or(b,t6))) ),
inference(resolve,[$cnf( $equal(xor(t2,and(t3,not(t6))),not(xor(t2,or(b,t6)))) )],[refute_0_20607,refute_0_20608]) ).
cnf(refute_0_20610,plain,
xor(t4,and(t3,t6)) = not(xor(t2,or(b,t6))),
inference(resolve,[$cnf( $equal(xor(t4,and(t3,t6)),xor(t2,and(t3,not(t6)))) )],[refute_0_20469,refute_0_20609]) ).
cnf(refute_0_20611,plain,
( xor(t4,and(t3,t6)) != not(xor(t2,or(b,t6)))
| not(xor(t2,or(b,t6))) = xor(t4,and(t3,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t4,and(t3,t6)))),bind(Y0,$fot(not(xor(t2,or(b,t6)))))]]) ).
cnf(refute_0_20612,plain,
not(xor(t2,or(b,t6))) = xor(t4,and(t3,t6)),
inference(resolve,[$cnf( $equal(xor(t4,and(t3,t6)),not(xor(t2,or(b,t6)))) )],[refute_0_20610,refute_0_20611]) ).
cnf(refute_0_20613,plain,
and(carry,not(xor(t2,or(b,t6)))) = and(carry,not(xor(t2,or(b,t6)))),
introduced(tautology,[refl,[$fot(and(carry,not(xor(t2,or(b,t6)))))]]) ).
cnf(refute_0_20614,plain,
( and(carry,not(xor(t2,or(b,t6)))) != and(carry,not(xor(t2,or(b,t6))))
| not(xor(t2,or(b,t6))) != xor(t4,and(t3,t6))
| and(carry,not(xor(t2,or(b,t6)))) = and(carry,xor(t4,and(t3,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,not(xor(t2,or(b,t6)))),and(carry,not(xor(t2,or(b,t6))))) ),[1,1],$fot(xor(t4,and(t3,t6)))]]) ).
cnf(refute_0_20615,plain,
( not(xor(t2,or(b,t6))) != xor(t4,and(t3,t6))
| and(carry,not(xor(t2,or(b,t6)))) = and(carry,xor(t4,and(t3,t6))) ),
inference(resolve,[$cnf( $equal(and(carry,not(xor(t2,or(b,t6)))),and(carry,not(xor(t2,or(b,t6))))) )],[refute_0_20613,refute_0_20614]) ).
cnf(refute_0_20616,plain,
and(carry,not(xor(t2,or(b,t6)))) = and(carry,xor(t4,and(t3,t6))),
inference(resolve,[$cnf( $equal(not(xor(t2,or(b,t6))),xor(t4,and(t3,t6))) )],[refute_0_20612,refute_0_20615]) ).
cnf(refute_0_20617,plain,
( and(carry,not(xor(t2,or(b,t6)))) != and(carry,xor(t4,and(t3,t6)))
| and(carry,not(xor(t2,or(b,t6)))) != xor(a,xor(t5,or(b,t6)))
| and(carry,xor(t4,and(t3,t6))) = xor(a,xor(t5,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,not(xor(t2,or(b,t6)))),xor(a,xor(t5,or(b,t6)))) ),[0],$fot(and(carry,xor(t4,and(t3,t6))))]]) ).
cnf(refute_0_20618,plain,
( and(carry,not(xor(t2,or(b,t6)))) != xor(a,xor(t5,or(b,t6)))
| and(carry,xor(t4,and(t3,t6))) = xor(a,xor(t5,or(b,t6))) ),
inference(resolve,[$cnf( $equal(and(carry,not(xor(t2,or(b,t6)))),and(carry,xor(t4,and(t3,t6)))) )],[refute_0_20616,refute_0_20617]) ).
cnf(refute_0_20619,plain,
and(carry,xor(t4,and(t3,t6))) = xor(a,xor(t5,or(b,t6))),
inference(resolve,[$cnf( $equal(and(carry,not(xor(t2,or(b,t6)))),xor(a,xor(t5,or(b,t6)))) )],[refute_0_20100,refute_0_20618]) ).
cnf(refute_0_20620,plain,
( and(carry,xor(t4,and(t3,t6))) != xor(a,xor(t5,or(b,t6)))
| xor(a,xor(t5,or(b,t6))) = and(carry,xor(t4,and(t3,t6))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(carry,xor(t4,and(t3,t6))))),bind(Y0,$fot(xor(a,xor(t5,or(b,t6)))))]]) ).
cnf(refute_0_20621,plain,
xor(a,xor(t5,or(b,t6))) = and(carry,xor(t4,and(t3,t6))),
inference(resolve,[$cnf( $equal(and(carry,xor(t4,and(t3,t6))),xor(a,xor(t5,or(b,t6)))) )],[refute_0_20619,refute_0_20620]) ).
cnf(refute_0_20622,plain,
and(t1,xor(a,xor(t5,or(b,t6)))) = and(t1,xor(a,xor(t5,or(b,t6)))),
introduced(tautology,[refl,[$fot(and(t1,xor(a,xor(t5,or(b,t6)))))]]) ).
cnf(refute_0_20623,plain,
( and(t1,xor(a,xor(t5,or(b,t6)))) != and(t1,xor(a,xor(t5,or(b,t6))))
| xor(a,xor(t5,or(b,t6))) != and(carry,xor(t4,and(t3,t6)))
| and(t1,xor(a,xor(t5,or(b,t6)))) = and(t1,and(carry,xor(t4,and(t3,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,xor(a,xor(t5,or(b,t6)))),and(t1,xor(a,xor(t5,or(b,t6))))) ),[1,1],$fot(and(carry,xor(t4,and(t3,t6))))]]) ).
cnf(refute_0_20624,plain,
( xor(a,xor(t5,or(b,t6))) != and(carry,xor(t4,and(t3,t6)))
| and(t1,xor(a,xor(t5,or(b,t6)))) = and(t1,and(carry,xor(t4,and(t3,t6)))) ),
inference(resolve,[$cnf( $equal(and(t1,xor(a,xor(t5,or(b,t6)))),and(t1,xor(a,xor(t5,or(b,t6))))) )],[refute_0_20622,refute_0_20623]) ).
cnf(refute_0_20625,plain,
and(t1,xor(a,xor(t5,or(b,t6)))) = and(t1,and(carry,xor(t4,and(t3,t6)))),
inference(resolve,[$cnf( $equal(xor(a,xor(t5,or(b,t6))),and(carry,xor(t4,and(t3,t6)))) )],[refute_0_20621,refute_0_20624]) ).
cnf(refute_0_20626,plain,
( and(t1,and(carry,xor(t4,and(t3,t6)))) != and(not(t5),xor(t4,and(t3,t6)))
| and(t1,xor(a,xor(t5,or(b,t6)))) != and(t1,and(carry,xor(t4,and(t3,t6))))
| and(t1,xor(a,xor(t5,or(b,t6)))) = and(not(t5),xor(t4,and(t3,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t1,xor(a,xor(t5,or(b,t6)))))),bind(Y0,$fot(and(t1,and(carry,xor(t4,and(t3,t6)))))),bind(Z0,$fot(and(not(t5),xor(t4,and(t3,t6)))))]]) ).
cnf(refute_0_20627,plain,
( and(t1,and(carry,xor(t4,and(t3,t6)))) != and(not(t5),xor(t4,and(t3,t6)))
| and(t1,xor(a,xor(t5,or(b,t6)))) = and(not(t5),xor(t4,and(t3,t6))) ),
inference(resolve,[$cnf( $equal(and(t1,xor(a,xor(t5,or(b,t6)))),and(t1,and(carry,xor(t4,and(t3,t6))))) )],[refute_0_20625,refute_0_20626]) ).
cnf(refute_0_20628,plain,
and(t1,xor(a,xor(t5,or(b,t6)))) = and(not(t5),xor(t4,and(t3,t6))),
inference(resolve,[$cnf( $equal(and(t1,and(carry,xor(t4,and(t3,t6)))),and(not(t5),xor(t4,and(t3,t6)))) )],[refute_0_19788,refute_0_20627]) ).
cnf(refute_0_20629,plain,
( and(t1,xor(a,xor(t5,or(b,t6)))) != and(not(t5),xor(t4,and(t3,t6)))
| not(or(a,xor(carry,or(b,t6)))) != and(t1,xor(a,xor(t5,or(b,t6))))
| not(or(a,xor(carry,or(b,t6)))) = and(not(t5),xor(t4,and(t3,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(a,xor(carry,or(b,t6)))),and(t1,xor(a,xor(t5,or(b,t6))))) ),[1],$fot(and(not(t5),xor(t4,and(t3,t6))))]]) ).
cnf(refute_0_20630,plain,
( not(or(a,xor(carry,or(b,t6)))) != and(t1,xor(a,xor(t5,or(b,t6))))
| not(or(a,xor(carry,or(b,t6)))) = and(not(t5),xor(t4,and(t3,t6))) ),
inference(resolve,[$cnf( $equal(and(t1,xor(a,xor(t5,or(b,t6)))),and(not(t5),xor(t4,and(t3,t6)))) )],[refute_0_20628,refute_0_20629]) ).
cnf(refute_0_20631,plain,
not(or(a,xor(carry,or(b,t6)))) = and(not(t5),xor(t4,and(t3,t6))),
inference(resolve,[$cnf( $equal(not(or(a,xor(carry,or(b,t6)))),and(t1,xor(a,xor(t5,or(b,t6))))) )],[refute_0_19781,refute_0_20630]) ).
cnf(refute_0_20632,plain,
not(and(not(t5),t2)) = not(and(t2,not(t5))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(t2)),bind(X_32,$fot(not(t5)))]]) ).
cnf(refute_0_20633,plain,
and(not(t5),t2) = and(cin,and(t2,t4)),
inference(subst,[],[refute_0_14155:[bind(X_235,$fot(t2))]]) ).
cnf(refute_0_20634,plain,
( and(not(t5),t2) != and(cin,and(t2,t4))
| and(t2,t4) != not(t3)
| and(not(t5),t2) = and(cin,not(t3)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),t2),and(cin,and(t2,t4))) ),[1,1],$fot(not(t3))]]) ).
cnf(refute_0_20635,plain,
( and(not(t5),t2) != and(cin,and(t2,t4))
| and(not(t5),t2) = and(cin,not(t3)) ),
inference(resolve,[$cnf( $equal(and(t2,t4),not(t3)) )],[refute_0_9619,refute_0_20634]) ).
cnf(refute_0_20636,plain,
and(not(t5),t2) = and(cin,not(t3)),
inference(resolve,[$cnf( $equal(and(not(t5),t2),and(cin,and(t2,t4))) )],[refute_0_20633,refute_0_20635]) ).
cnf(refute_0_20637,plain,
and(not(t5),t2) = and(t2,not(t5)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t2)),bind(Y,$fot(not(t5)))]]) ).
cnf(refute_0_20638,plain,
( and(not(t5),t2) != and(cin,not(t3))
| and(not(t5),t2) != and(t2,not(t5))
| and(t2,not(t5)) = and(cin,not(t3)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),t2),and(cin,not(t3))) ),[0],$fot(and(t2,not(t5)))]]) ).
cnf(refute_0_20639,plain,
( and(not(t5),t2) != and(cin,not(t3))
| and(t2,not(t5)) = and(cin,not(t3)) ),
inference(resolve,[$cnf( $equal(and(not(t5),t2),and(t2,not(t5))) )],[refute_0_20637,refute_0_20638]) ).
cnf(refute_0_20640,plain,
and(not(t5),not(t3)) = and(cin,and(t4,not(t3))),
inference(subst,[],[refute_0_841:[bind(X_222,$fot(not(t3)))]]) ).
cnf(refute_0_20641,plain,
( and(not(t5),not(t3)) != and(cin,and(t4,not(t3)))
| and(t4,not(t3)) != not(t3)
| and(not(t5),not(t3)) = and(cin,not(t3)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),not(t3)),and(cin,and(t4,not(t3)))) ),[1,1],$fot(not(t3))]]) ).
cnf(refute_0_20642,plain,
( and(not(t5),not(t3)) != and(cin,and(t4,not(t3)))
| and(not(t5),not(t3)) = and(cin,not(t3)) ),
inference(resolve,[$cnf( $equal(and(t4,not(t3)),not(t3)) )],[refute_0_14193,refute_0_20641]) ).
cnf(refute_0_20643,plain,
and(not(t5),not(t3)) = and(cin,not(t3)),
inference(resolve,[$cnf( $equal(and(not(t5),not(t3)),and(cin,and(t4,not(t3)))) )],[refute_0_20640,refute_0_20642]) ).
cnf(refute_0_20644,plain,
not(or(t5,t3)) = not(or(t3,t5)),
inference(subst,[],[refute_0_562:[bind(X_25,$fot(t5)),bind(X_26,$fot(t3))]]) ).
cnf(refute_0_20645,plain,
and(not(t5),not(t3)) = not(or(t5,t3)),
inference(subst,[],[refute_0_101:[bind(X,$fot(t5)),bind(Y,$fot(t3))]]) ).
cnf(refute_0_20646,plain,
( and(not(t5),not(t3)) != not(or(t5,t3))
| not(or(t5,t3)) != not(or(t3,t5))
| and(not(t5),not(t3)) = not(or(t3,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t5),not(t3)))),bind(Y0,$fot(not(or(t5,t3)))),bind(Z0,$fot(not(or(t3,t5))))]]) ).
cnf(refute_0_20647,plain,
( not(or(t5,t3)) != not(or(t3,t5))
| and(not(t5),not(t3)) = not(or(t3,t5)) ),
inference(resolve,[$cnf( $equal(and(not(t5),not(t3)),not(or(t5,t3))) )],[refute_0_20645,refute_0_20646]) ).
cnf(refute_0_20648,plain,
and(not(t5),not(t3)) = not(or(t3,t5)),
inference(resolve,[$cnf( $equal(not(or(t5,t3)),not(or(t3,t5))) )],[refute_0_20644,refute_0_20647]) ).
cnf(refute_0_20649,plain,
( and(not(t5),not(t3)) != and(cin,not(t3))
| and(not(t5),not(t3)) != not(or(t3,t5))
| not(or(t3,t5)) = and(cin,not(t3)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),not(t3)),and(cin,not(t3))) ),[0],$fot(not(or(t3,t5)))]]) ).
cnf(refute_0_20650,plain,
( and(not(t5),not(t3)) != and(cin,not(t3))
| not(or(t3,t5)) = and(cin,not(t3)) ),
inference(resolve,[$cnf( $equal(and(not(t5),not(t3)),not(or(t3,t5))) )],[refute_0_20648,refute_0_20649]) ).
cnf(refute_0_20651,plain,
not(or(t3,t5)) = and(cin,not(t3)),
inference(resolve,[$cnf( $equal(and(not(t5),not(t3)),and(cin,not(t3))) )],[refute_0_20643,refute_0_20650]) ).
cnf(refute_0_20652,plain,
( not(or(t3,t5)) != and(cin,not(t3))
| and(cin,not(t3)) = not(or(t3,t5)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(t3,t5)))),bind(Y0,$fot(and(cin,not(t3))))]]) ).
cnf(refute_0_20653,plain,
and(cin,not(t3)) = not(or(t3,t5)),
inference(resolve,[$cnf( $equal(not(or(t3,t5)),and(cin,not(t3))) )],[refute_0_20651,refute_0_20652]) ).
cnf(refute_0_20654,plain,
( and(cin,not(t3)) != not(or(t3,t5))
| and(t2,not(t5)) != and(cin,not(t3))
| and(t2,not(t5)) = not(or(t3,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,not(t5)),and(cin,not(t3))) ),[1],$fot(not(or(t3,t5)))]]) ).
cnf(refute_0_20655,plain,
( and(t2,not(t5)) != and(cin,not(t3))
| and(t2,not(t5)) = not(or(t3,t5)) ),
inference(resolve,[$cnf( $equal(and(cin,not(t3)),not(or(t3,t5))) )],[refute_0_20653,refute_0_20654]) ).
cnf(refute_0_20656,plain,
( and(not(t5),t2) != and(cin,not(t3))
| and(t2,not(t5)) = not(or(t3,t5)) ),
inference(resolve,[$cnf( $equal(and(t2,not(t5)),and(cin,not(t3))) )],[refute_0_20639,refute_0_20655]) ).
cnf(refute_0_20657,plain,
and(t2,not(t5)) = not(or(t3,t5)),
inference(resolve,[$cnf( $equal(and(not(t5),t2),and(cin,not(t3))) )],[refute_0_20636,refute_0_20656]) ).
cnf(refute_0_20658,plain,
( and(t2,not(t5)) != not(or(t3,t5))
| not(and(not(t5),t2)) != not(and(t2,not(t5)))
| not(and(not(t5),t2)) = not(not(or(t3,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t5),t2)),not(and(t2,not(t5)))) ),[1,0],$fot(not(or(t3,t5)))]]) ).
cnf(refute_0_20659,plain,
( not(and(not(t5),t2)) != not(and(t2,not(t5)))
| not(and(not(t5),t2)) = not(not(or(t3,t5))) ),
inference(resolve,[$cnf( $equal(and(t2,not(t5)),not(or(t3,t5))) )],[refute_0_20657,refute_0_20658]) ).
cnf(refute_0_20660,plain,
not(and(not(t5),t2)) = not(not(or(t3,t5))),
inference(resolve,[$cnf( $equal(not(and(not(t5),t2)),not(and(t2,not(t5)))) )],[refute_0_20632,refute_0_20659]) ).
cnf(refute_0_20661,plain,
not(and(not(t5),t2)) = or(t5,not(t2)),
inference(subst,[],[refute_0_787:[bind(X,$fot(t5)),bind(X_32,$fot(t2))]]) ).
cnf(refute_0_20662,plain,
( not(and(not(t5),t2)) != not(not(or(t3,t5)))
| not(and(not(t5),t2)) != or(t5,not(t2))
| or(t5,not(t2)) = not(not(or(t3,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t5),t2)),not(not(or(t3,t5)))) ),[0],$fot(or(t5,not(t2)))]]) ).
cnf(refute_0_20663,plain,
( not(and(not(t5),t2)) != not(not(or(t3,t5)))
| or(t5,not(t2)) = not(not(or(t3,t5))) ),
inference(resolve,[$cnf( $equal(not(and(not(t5),t2)),or(t5,not(t2))) )],[refute_0_20661,refute_0_20662]) ).
cnf(refute_0_20664,plain,
not(not(or(t3,t5))) = or(t3,t5),
inference(subst,[],[not_involution:[bind(X,$fot(or(t3,t5)))]]) ).
cnf(refute_0_20665,plain,
( not(not(or(t3,t5))) != or(t3,t5)
| or(t5,not(t2)) != not(not(or(t3,t5)))
| or(t5,not(t2)) = or(t3,t5) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,not(t2)),not(not(or(t3,t5)))) ),[1],$fot(or(t3,t5))]]) ).
cnf(refute_0_20666,plain,
( or(t5,not(t2)) != not(not(or(t3,t5)))
| or(t5,not(t2)) = or(t3,t5) ),
inference(resolve,[$cnf( $equal(not(not(or(t3,t5))),or(t3,t5)) )],[refute_0_20664,refute_0_20665]) ).
cnf(refute_0_20667,plain,
( not(and(not(t5),t2)) != not(not(or(t3,t5)))
| or(t5,not(t2)) = or(t3,t5) ),
inference(resolve,[$cnf( $equal(or(t5,not(t2)),not(not(or(t3,t5)))) )],[refute_0_20663,refute_0_20666]) ).
cnf(refute_0_20668,plain,
or(t5,not(t2)) = or(t3,t5),
inference(resolve,[$cnf( $equal(not(and(not(t5),t2)),not(not(or(t3,t5)))) )],[refute_0_20660,refute_0_20667]) ).
cnf(refute_0_20669,plain,
( or(t3,t5) != or(a,t5)
| or(t5,not(t2)) != or(t3,t5)
| or(t5,not(t2)) = or(a,t5) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,not(t2)),or(t3,t5)) ),[1],$fot(or(a,t5))]]) ).
cnf(refute_0_20670,plain,
( or(t5,not(t2)) != or(t3,t5)
| or(t5,not(t2)) = or(a,t5) ),
inference(resolve,[$cnf( $equal(or(t3,t5),or(a,t5)) )],[refute_0_14444,refute_0_20669]) ).
cnf(refute_0_20671,plain,
or(t5,not(t2)) = or(a,t5),
inference(resolve,[$cnf( $equal(or(t5,not(t2)),or(t3,t5)) )],[refute_0_20668,refute_0_20670]) ).
cnf(refute_0_20672,plain,
or(t5,and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820)) = and(or(t5,or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5))))),or(t5,X_820)),
inference(subst,[],[and_distributive:[bind(X,$fot(t5)),bind(Y,$fot(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))))),bind(Z,$fot(X_820))]]) ).
cnf(refute_0_20673,plain,
or(t5,or(X_148,not(or(X_148,not(carry))))) = or(t5,or(not(carry),or(X_148,not(or(X_148,not(carry)))))),
inference(subst,[],[refute_0_4370:[bind(X_39,$fot(or(X_148,not(or(X_148,not(carry))))))]]) ).
cnf(refute_0_20674,plain,
or(not(carry),or(X_148,not(or(X_148,not(carry))))) = ll1,
inference(subst,[],[refute_0_17832:[bind(X_27,$fot(X_148)),bind(X_28,$fot(not(carry)))]]) ).
cnf(refute_0_20675,plain,
( or(not(carry),or(X_148,not(or(X_148,not(carry))))) != ll1
| or(t5,or(X_148,not(or(X_148,not(carry))))) != or(t5,or(not(carry),or(X_148,not(or(X_148,not(carry))))))
| or(t5,or(X_148,not(or(X_148,not(carry))))) = or(t5,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,or(X_148,not(or(X_148,not(carry))))),or(t5,or(not(carry),or(X_148,not(or(X_148,not(carry))))))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_20676,plain,
( or(t5,or(X_148,not(or(X_148,not(carry))))) != or(t5,or(not(carry),or(X_148,not(or(X_148,not(carry))))))
| or(t5,or(X_148,not(or(X_148,not(carry))))) = or(t5,ll1) ),
inference(resolve,[$cnf( $equal(or(not(carry),or(X_148,not(or(X_148,not(carry))))),ll1) )],[refute_0_20674,refute_0_20675]) ).
cnf(refute_0_20677,plain,
or(t5,or(X_148,not(or(X_148,not(carry))))) = or(t5,ll1),
inference(resolve,[$cnf( $equal(or(t5,or(X_148,not(or(X_148,not(carry))))),or(t5,or(not(carry),or(X_148,not(or(X_148,not(carry))))))) )],[refute_0_20673,refute_0_20676]) ).
cnf(refute_0_20678,plain,
and(not(X_148),carry) = and(carry,not(X_148)),
inference(subst,[],[refute_0_116:[bind(X,$fot(carry)),bind(Y,$fot(not(X_148)))]]) ).
cnf(refute_0_20679,plain,
not(or(X_148,not(carry))) = and(not(X_148),carry),
inference(subst,[],[refute_0_801:[bind(X,$fot(carry)),bind(X_25,$fot(X_148))]]) ).
cnf(refute_0_20680,plain,
( and(not(X_148),carry) != and(carry,not(X_148))
| not(or(X_148,not(carry))) != and(not(X_148),carry)
| not(or(X_148,not(carry))) = and(carry,not(X_148)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(X_148,not(carry))))),bind(Y0,$fot(and(not(X_148),carry))),bind(Z0,$fot(and(carry,not(X_148))))]]) ).
cnf(refute_0_20681,plain,
( and(not(X_148),carry) != and(carry,not(X_148))
| not(or(X_148,not(carry))) = and(carry,not(X_148)) ),
inference(resolve,[$cnf( $equal(not(or(X_148,not(carry))),and(not(X_148),carry)) )],[refute_0_20679,refute_0_20680]) ).
cnf(refute_0_20682,plain,
not(or(X_148,not(carry))) = and(carry,not(X_148)),
inference(resolve,[$cnf( $equal(and(not(X_148),carry),and(carry,not(X_148))) )],[refute_0_20678,refute_0_20681]) ).
cnf(refute_0_20683,plain,
or(X_148,not(or(X_148,not(carry)))) = or(X_148,not(or(X_148,not(carry)))),
introduced(tautology,[refl,[$fot(or(X_148,not(or(X_148,not(carry)))))]]) ).
cnf(refute_0_20684,plain,
( not(or(X_148,not(carry))) != and(carry,not(X_148))
| or(X_148,not(or(X_148,not(carry)))) != or(X_148,not(or(X_148,not(carry))))
| or(X_148,not(or(X_148,not(carry)))) = or(X_148,and(carry,not(X_148))) ),
introduced(tautology,[equality,[$cnf( $equal(or(X_148,not(or(X_148,not(carry)))),or(X_148,not(or(X_148,not(carry))))) ),[1,1],$fot(and(carry,not(X_148)))]]) ).
cnf(refute_0_20685,plain,
( not(or(X_148,not(carry))) != and(carry,not(X_148))
| or(X_148,not(or(X_148,not(carry)))) = or(X_148,and(carry,not(X_148))) ),
inference(resolve,[$cnf( $equal(or(X_148,not(or(X_148,not(carry)))),or(X_148,not(or(X_148,not(carry))))) )],[refute_0_20683,refute_0_20684]) ).
cnf(refute_0_20686,plain,
or(X_148,not(or(X_148,not(carry)))) = or(X_148,and(carry,not(X_148))),
inference(resolve,[$cnf( $equal(not(or(X_148,not(carry))),and(carry,not(X_148))) )],[refute_0_20682,refute_0_20685]) ).
cnf(refute_0_20687,plain,
or(t5,or(X_148,not(or(X_148,not(carry))))) = or(t5,or(X_148,not(or(X_148,not(carry))))),
introduced(tautology,[refl,[$fot(or(t5,or(X_148,not(or(X_148,not(carry))))))]]) ).
cnf(refute_0_20688,plain,
( or(X_148,not(or(X_148,not(carry)))) != or(X_148,and(carry,not(X_148)))
| or(t5,or(X_148,not(or(X_148,not(carry))))) != or(t5,or(X_148,not(or(X_148,not(carry)))))
| or(t5,or(X_148,not(or(X_148,not(carry))))) = or(t5,or(X_148,and(carry,not(X_148)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,or(X_148,not(or(X_148,not(carry))))),or(t5,or(X_148,not(or(X_148,not(carry)))))) ),[1,1],$fot(or(X_148,and(carry,not(X_148))))]]) ).
cnf(refute_0_20689,plain,
( or(X_148,not(or(X_148,not(carry)))) != or(X_148,and(carry,not(X_148)))
| or(t5,or(X_148,not(or(X_148,not(carry))))) = or(t5,or(X_148,and(carry,not(X_148)))) ),
inference(resolve,[$cnf( $equal(or(t5,or(X_148,not(or(X_148,not(carry))))),or(t5,or(X_148,not(or(X_148,not(carry)))))) )],[refute_0_20687,refute_0_20688]) ).
cnf(refute_0_20690,plain,
or(t5,or(X_148,not(or(X_148,not(carry))))) = or(t5,or(X_148,and(carry,not(X_148)))),
inference(resolve,[$cnf( $equal(or(X_148,not(or(X_148,not(carry)))),or(X_148,and(carry,not(X_148)))) )],[refute_0_20686,refute_0_20689]) ).
cnf(refute_0_20691,plain,
( or(t5,or(X_148,not(or(X_148,not(carry))))) != or(t5,ll1)
| or(t5,or(X_148,not(or(X_148,not(carry))))) != or(t5,or(X_148,and(carry,not(X_148))))
| or(t5,or(X_148,and(carry,not(X_148)))) = or(t5,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,or(X_148,not(or(X_148,not(carry))))),or(t5,ll1)) ),[0],$fot(or(t5,or(X_148,and(carry,not(X_148)))))]]) ).
cnf(refute_0_20692,plain,
( or(t5,or(X_148,not(or(X_148,not(carry))))) != or(t5,ll1)
| or(t5,or(X_148,and(carry,not(X_148)))) = or(t5,ll1) ),
inference(resolve,[$cnf( $equal(or(t5,or(X_148,not(or(X_148,not(carry))))),or(t5,or(X_148,and(carry,not(X_148))))) )],[refute_0_20690,refute_0_20691]) ).
cnf(refute_0_20693,plain,
( or(t5,ll1) != ll1
| or(t5,or(X_148,and(carry,not(X_148)))) != or(t5,ll1)
| or(t5,or(X_148,and(carry,not(X_148)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,or(X_148,and(carry,not(X_148)))),or(t5,ll1)) ),[1],$fot(ll1)]]) ).
cnf(refute_0_20694,plain,
( or(t5,or(X_148,and(carry,not(X_148)))) != or(t5,ll1)
| or(t5,or(X_148,and(carry,not(X_148)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t5,ll1),ll1) )],[refute_0_4386,refute_0_20693]) ).
cnf(refute_0_20695,plain,
( or(t5,or(X_148,not(or(X_148,not(carry))))) != or(t5,ll1)
| or(t5,or(X_148,and(carry,not(X_148)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t5,or(X_148,and(carry,not(X_148)))),or(t5,ll1)) )],[refute_0_20692,refute_0_20694]) ).
cnf(refute_0_20696,plain,
or(t5,or(X_148,and(carry,not(X_148)))) = ll1,
inference(resolve,[$cnf( $equal(or(t5,or(X_148,not(or(X_148,not(carry))))),or(t5,ll1)) )],[refute_0_20677,refute_0_20695]) ).
cnf(refute_0_20697,plain,
or(t5,or(and(t6,or(t3,t5)),and(carry,not(and(t6,or(t3,t5)))))) = ll1,
inference(subst,[],[refute_0_20696:[bind(X_148,$fot(and(t6,or(t3,t5))))]]) ).
cnf(refute_0_20698,plain,
not(not(xor(t6,or(t3,t5)))) = xor(t6,or(t3,t5)),
inference(subst,[],[not_involution:[bind(X,$fot(xor(t6,or(t3,t5))))]]) ).
cnf(refute_0_20699,plain,
and(t6,not(and(cin,not(t3)))) = xor(t6,and(cin,not(t3))),
inference(subst,[],[refute_0_1092:[bind(X_55,$fot(not(t3)))]]) ).
cnf(refute_0_20700,plain,
( and(cin,not(t3)) != not(or(t3,t5))
| and(t6,not(and(cin,not(t3)))) != xor(t6,and(cin,not(t3)))
| and(t6,not(and(cin,not(t3)))) = xor(t6,not(or(t3,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(and(cin,not(t3)))),xor(t6,and(cin,not(t3)))) ),[1,1],$fot(not(or(t3,t5)))]]) ).
cnf(refute_0_20701,plain,
( and(t6,not(and(cin,not(t3)))) != xor(t6,and(cin,not(t3)))
| and(t6,not(and(cin,not(t3)))) = xor(t6,not(or(t3,t5))) ),
inference(resolve,[$cnf( $equal(and(cin,not(t3)),not(or(t3,t5))) )],[refute_0_20653,refute_0_20700]) ).
cnf(refute_0_20702,plain,
and(t6,not(and(cin,not(t3)))) = xor(t6,not(or(t3,t5))),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,not(t3)))),xor(t6,and(cin,not(t3)))) )],[refute_0_20699,refute_0_20701]) ).
cnf(refute_0_20703,plain,
not(and(not(t3),cin)) = not(and(cin,not(t3))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(cin)),bind(X_32,$fot(not(t3)))]]) ).
cnf(refute_0_20704,plain,
( and(cin,not(t3)) != not(or(t3,t5))
| not(and(not(t3),cin)) != not(and(cin,not(t3)))
| not(and(not(t3),cin)) = not(not(or(t3,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t3),cin)),not(and(cin,not(t3)))) ),[1,0],$fot(not(or(t3,t5)))]]) ).
cnf(refute_0_20705,plain,
( not(and(not(t3),cin)) != not(and(cin,not(t3)))
| not(and(not(t3),cin)) = not(not(or(t3,t5))) ),
inference(resolve,[$cnf( $equal(and(cin,not(t3)),not(or(t3,t5))) )],[refute_0_20653,refute_0_20704]) ).
cnf(refute_0_20706,plain,
not(and(not(t3),cin)) = not(not(or(t3,t5))),
inference(resolve,[$cnf( $equal(not(and(not(t3),cin)),not(and(cin,not(t3)))) )],[refute_0_20703,refute_0_20705]) ).
cnf(refute_0_20707,plain,
not(and(not(t3),cin)) = or(t3,not(cin)),
inference(subst,[],[refute_0_787:[bind(X,$fot(t3)),bind(X_32,$fot(cin))]]) ).
cnf(refute_0_20708,plain,
( not(and(not(t3),cin)) != not(not(or(t3,t5)))
| not(and(not(t3),cin)) != or(t3,not(cin))
| or(t3,not(cin)) = not(not(or(t3,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t3),cin)),not(not(or(t3,t5)))) ),[0],$fot(or(t3,not(cin)))]]) ).
cnf(refute_0_20709,plain,
( not(and(not(t3),cin)) != not(not(or(t3,t5)))
| or(t3,not(cin)) = not(not(or(t3,t5))) ),
inference(resolve,[$cnf( $equal(not(and(not(t3),cin)),or(t3,not(cin))) )],[refute_0_20707,refute_0_20708]) ).
cnf(refute_0_20710,plain,
( not(not(or(t3,t5))) != or(t3,t5)
| or(t3,not(cin)) != not(not(or(t3,t5)))
| or(t3,not(cin)) = or(t3,t5) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,not(cin)),not(not(or(t3,t5)))) ),[1],$fot(or(t3,t5))]]) ).
cnf(refute_0_20711,plain,
( or(t3,not(cin)) != not(not(or(t3,t5)))
| or(t3,not(cin)) = or(t3,t5) ),
inference(resolve,[$cnf( $equal(not(not(or(t3,t5))),or(t3,t5)) )],[refute_0_20664,refute_0_20710]) ).
cnf(refute_0_20712,plain,
( not(and(not(t3),cin)) != not(not(or(t3,t5)))
| or(t3,not(cin)) = or(t3,t5) ),
inference(resolve,[$cnf( $equal(or(t3,not(cin)),not(not(or(t3,t5)))) )],[refute_0_20709,refute_0_20711]) ).
cnf(refute_0_20713,plain,
or(t3,not(cin)) = or(t3,t5),
inference(resolve,[$cnf( $equal(not(and(not(t3),cin)),not(not(or(t3,t5)))) )],[refute_0_20706,refute_0_20712]) ).
cnf(refute_0_20714,plain,
and(t6,or(t3,not(cin))) = and(t6,or(t3,not(cin))),
introduced(tautology,[refl,[$fot(and(t6,or(t3,not(cin))))]]) ).
cnf(refute_0_20715,plain,
( and(t6,or(t3,not(cin))) != and(t6,or(t3,not(cin)))
| or(t3,not(cin)) != or(t3,t5)
| and(t6,or(t3,not(cin))) = and(t6,or(t3,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(t3,not(cin))),and(t6,or(t3,not(cin)))) ),[1,1],$fot(or(t3,t5))]]) ).
cnf(refute_0_20716,plain,
( or(t3,not(cin)) != or(t3,t5)
| and(t6,or(t3,not(cin))) = and(t6,or(t3,t5)) ),
inference(resolve,[$cnf( $equal(and(t6,or(t3,not(cin))),and(t6,or(t3,not(cin)))) )],[refute_0_20714,refute_0_20715]) ).
cnf(refute_0_20717,plain,
and(t6,or(t3,not(cin))) = and(t6,or(t3,t5)),
inference(resolve,[$cnf( $equal(or(t3,not(cin)),or(t3,t5)) )],[refute_0_20713,refute_0_20716]) ).
cnf(refute_0_20718,plain,
xor(t6,and(cin,not(t3))) = and(t6,or(t3,not(cin))),
inference(subst,[],[refute_0_7535:[bind(X,$fot(t3))]]) ).
cnf(refute_0_20719,plain,
( and(t6,not(and(cin,not(t3)))) != xor(t6,and(cin,not(t3)))
| xor(t6,and(cin,not(t3))) != and(t6,or(t3,not(cin)))
| and(t6,not(and(cin,not(t3)))) = and(t6,or(t3,not(cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t6,not(and(cin,not(t3)))))),bind(Y0,$fot(xor(t6,and(cin,not(t3))))),bind(Z0,$fot(and(t6,or(t3,not(cin)))))]]) ).
cnf(refute_0_20720,plain,
( xor(t6,and(cin,not(t3))) != and(t6,or(t3,not(cin)))
| and(t6,not(and(cin,not(t3)))) = and(t6,or(t3,not(cin))) ),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,not(t3)))),xor(t6,and(cin,not(t3)))) )],[refute_0_20699,refute_0_20719]) ).
cnf(refute_0_20721,plain,
and(t6,not(and(cin,not(t3)))) = and(t6,or(t3,not(cin))),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,not(t3))),and(t6,or(t3,not(cin)))) )],[refute_0_20718,refute_0_20720]) ).
cnf(refute_0_20722,plain,
( and(t6,not(and(cin,not(t3)))) != and(t6,or(t3,not(cin)))
| and(t6,or(t3,not(cin))) != and(t6,or(t3,t5))
| and(t6,not(and(cin,not(t3)))) = and(t6,or(t3,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t6,not(and(cin,not(t3)))))),bind(Y0,$fot(and(t6,or(t3,not(cin))))),bind(Z0,$fot(and(t6,or(t3,t5))))]]) ).
cnf(refute_0_20723,plain,
( and(t6,or(t3,not(cin))) != and(t6,or(t3,t5))
| and(t6,not(and(cin,not(t3)))) = and(t6,or(t3,t5)) ),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,not(t3)))),and(t6,or(t3,not(cin)))) )],[refute_0_20721,refute_0_20722]) ).
cnf(refute_0_20724,plain,
and(t6,not(and(cin,not(t3)))) = and(t6,or(t3,t5)),
inference(resolve,[$cnf( $equal(and(t6,or(t3,not(cin))),and(t6,or(t3,t5))) )],[refute_0_20717,refute_0_20723]) ).
cnf(refute_0_20725,plain,
( and(t6,not(and(cin,not(t3)))) != and(t6,or(t3,t5))
| and(t6,not(and(cin,not(t3)))) != xor(t6,not(or(t3,t5)))
| and(t6,or(t3,t5)) = xor(t6,not(or(t3,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(and(cin,not(t3)))),xor(t6,not(or(t3,t5)))) ),[0],$fot(and(t6,or(t3,t5)))]]) ).
cnf(refute_0_20726,plain,
( and(t6,not(and(cin,not(t3)))) != xor(t6,not(or(t3,t5)))
| and(t6,or(t3,t5)) = xor(t6,not(or(t3,t5))) ),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,not(t3)))),and(t6,or(t3,t5))) )],[refute_0_20724,refute_0_20725]) ).
cnf(refute_0_20727,plain,
and(t6,or(t3,t5)) = xor(t6,not(or(t3,t5))),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,not(t3)))),xor(t6,not(or(t3,t5)))) )],[refute_0_20702,refute_0_20726]) ).
cnf(refute_0_20728,plain,
xor(t6,not(or(t3,t5))) = not(xor(t6,or(t3,t5))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t6)),bind(X_334,$fot(or(t3,t5)))]]) ).
cnf(refute_0_20729,plain,
( and(t6,or(t3,t5)) != xor(t6,not(or(t3,t5)))
| xor(t6,not(or(t3,t5))) != not(xor(t6,or(t3,t5)))
| and(t6,or(t3,t5)) = not(xor(t6,or(t3,t5))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,or(t3,t5)),not(xor(t6,or(t3,t5)))) ),[0],$fot(xor(t6,not(or(t3,t5))))]]) ).
cnf(refute_0_20730,plain,
( and(t6,or(t3,t5)) != xor(t6,not(or(t3,t5)))
| and(t6,or(t3,t5)) = not(xor(t6,or(t3,t5))) ),
inference(resolve,[$cnf( $equal(xor(t6,not(or(t3,t5))),not(xor(t6,or(t3,t5)))) )],[refute_0_20728,refute_0_20729]) ).
cnf(refute_0_20731,plain,
and(t6,or(t3,t5)) = not(xor(t6,or(t3,t5))),
inference(resolve,[$cnf( $equal(and(t6,or(t3,t5)),xor(t6,not(or(t3,t5)))) )],[refute_0_20727,refute_0_20730]) ).
cnf(refute_0_20732,plain,
( and(t6,or(t3,t5)) != not(xor(t6,or(t3,t5)))
| not(xor(t6,or(t3,t5))) = and(t6,or(t3,t5)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t6,or(t3,t5)))),bind(Y0,$fot(not(xor(t6,or(t3,t5)))))]]) ).
cnf(refute_0_20733,plain,
not(xor(t6,or(t3,t5))) = and(t6,or(t3,t5)),
inference(resolve,[$cnf( $equal(and(t6,or(t3,t5)),not(xor(t6,or(t3,t5)))) )],[refute_0_20731,refute_0_20732]) ).
cnf(refute_0_20734,plain,
( not(not(xor(t6,or(t3,t5)))) != xor(t6,or(t3,t5))
| not(xor(t6,or(t3,t5))) != and(t6,or(t3,t5))
| not(and(t6,or(t3,t5))) = xor(t6,or(t3,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(xor(t6,or(t3,t5)))),xor(t6,or(t3,t5))) ),[0,0],$fot(and(t6,or(t3,t5)))]]) ).
cnf(refute_0_20735,plain,
( not(not(xor(t6,or(t3,t5)))) != xor(t6,or(t3,t5))
| not(and(t6,or(t3,t5))) = xor(t6,or(t3,t5)) ),
inference(resolve,[$cnf( $equal(not(xor(t6,or(t3,t5))),and(t6,or(t3,t5))) )],[refute_0_20733,refute_0_20734]) ).
cnf(refute_0_20736,plain,
not(and(t6,or(t3,t5))) = xor(t6,or(t3,t5)),
inference(resolve,[$cnf( $equal(not(not(xor(t6,or(t3,t5)))),xor(t6,or(t3,t5))) )],[refute_0_20698,refute_0_20735]) ).
cnf(refute_0_20737,plain,
( not(and(t6,or(t3,t5))) != xor(t6,or(t3,t5))
| or(t5,or(and(t6,or(t3,t5)),and(carry,not(and(t6,or(t3,t5)))))) != ll1
| or(t5,or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5))))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,or(and(t6,or(t3,t5)),and(carry,not(and(t6,or(t3,t5)))))),ll1) ),[0,1,1,1],$fot(xor(t6,or(t3,t5)))]]) ).
cnf(refute_0_20738,plain,
( or(t5,or(and(t6,or(t3,t5)),and(carry,not(and(t6,or(t3,t5)))))) != ll1
| or(t5,or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5))))) = ll1 ),
inference(resolve,[$cnf( $equal(not(and(t6,or(t3,t5))),xor(t6,or(t3,t5))) )],[refute_0_20736,refute_0_20737]) ).
cnf(refute_0_20739,plain,
or(t5,or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5))))) = ll1,
inference(resolve,[$cnf( $equal(or(t5,or(and(t6,or(t3,t5)),and(carry,not(and(t6,or(t3,t5)))))),ll1) )],[refute_0_20697,refute_0_20738]) ).
cnf(refute_0_20740,plain,
xor(t6,or(t3,t5)) = xor(t6,or(t3,t5)),
introduced(tautology,[refl,[$fot(xor(t6,or(t3,t5)))]]) ).
cnf(refute_0_20741,plain,
( or(t3,t5) != or(a,t5)
| xor(t6,or(t3,t5)) != xor(t6,or(t3,t5))
| xor(t6,or(t3,t5)) = xor(t6,or(a,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,or(t3,t5)),xor(t6,or(t3,t5))) ),[1,1],$fot(or(a,t5))]]) ).
cnf(refute_0_20742,plain,
( or(t3,t5) != or(a,t5)
| xor(t6,or(t3,t5)) = xor(t6,or(a,t5)) ),
inference(resolve,[$cnf( $equal(xor(t6,or(t3,t5)),xor(t6,or(t3,t5))) )],[refute_0_20740,refute_0_20741]) ).
cnf(refute_0_20743,plain,
xor(t6,or(t3,t5)) = xor(t6,or(a,t5)),
inference(resolve,[$cnf( $equal(or(t3,t5),or(a,t5)) )],[refute_0_14444,refute_0_20742]) ).
cnf(refute_0_20744,plain,
and(carry,xor(t6,or(t3,t5))) = and(carry,xor(t6,or(t3,t5))),
introduced(tautology,[refl,[$fot(and(carry,xor(t6,or(t3,t5))))]]) ).
cnf(refute_0_20745,plain,
( and(carry,xor(t6,or(t3,t5))) != and(carry,xor(t6,or(t3,t5)))
| xor(t6,or(t3,t5)) != xor(t6,or(a,t5))
| and(carry,xor(t6,or(t3,t5))) = and(carry,xor(t6,or(a,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,xor(t6,or(t3,t5))),and(carry,xor(t6,or(t3,t5)))) ),[1,1],$fot(xor(t6,or(a,t5)))]]) ).
cnf(refute_0_20746,plain,
( xor(t6,or(t3,t5)) != xor(t6,or(a,t5))
| and(carry,xor(t6,or(t3,t5))) = and(carry,xor(t6,or(a,t5))) ),
inference(resolve,[$cnf( $equal(and(carry,xor(t6,or(t3,t5))),and(carry,xor(t6,or(t3,t5)))) )],[refute_0_20744,refute_0_20745]) ).
cnf(refute_0_20747,plain,
and(carry,xor(t6,or(t3,t5))) = and(carry,xor(t6,or(a,t5))),
inference(resolve,[$cnf( $equal(xor(t6,or(t3,t5)),xor(t6,or(a,t5))) )],[refute_0_20743,refute_0_20746]) ).
cnf(refute_0_20748,plain,
or(and(t6,or(a,t5)),and(carry,xor(t6,or(t3,t5)))) = or(and(t6,or(a,t5)),and(carry,xor(t6,or(t3,t5)))),
introduced(tautology,[refl,[$fot(or(and(t6,or(a,t5)),and(carry,xor(t6,or(t3,t5)))))]]) ).
cnf(refute_0_20749,plain,
( and(carry,xor(t6,or(t3,t5))) != and(carry,xor(t6,or(a,t5)))
| or(and(t6,or(a,t5)),and(carry,xor(t6,or(t3,t5)))) != or(and(t6,or(a,t5)),and(carry,xor(t6,or(t3,t5))))
| or(and(t6,or(a,t5)),and(carry,xor(t6,or(t3,t5)))) = or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,or(a,t5)),and(carry,xor(t6,or(t3,t5)))),or(and(t6,or(a,t5)),and(carry,xor(t6,or(t3,t5))))) ),[1,1],$fot(and(carry,xor(t6,or(a,t5))))]]) ).
cnf(refute_0_20750,plain,
( and(carry,xor(t6,or(t3,t5))) != and(carry,xor(t6,or(a,t5)))
| or(and(t6,or(a,t5)),and(carry,xor(t6,or(t3,t5)))) = or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))) ),
inference(resolve,[$cnf( $equal(or(and(t6,or(a,t5)),and(carry,xor(t6,or(t3,t5)))),or(and(t6,or(a,t5)),and(carry,xor(t6,or(t3,t5))))) )],[refute_0_20748,refute_0_20749]) ).
cnf(refute_0_20751,plain,
or(and(t6,or(a,t5)),and(carry,xor(t6,or(t3,t5)))) = or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),
inference(resolve,[$cnf( $equal(and(carry,xor(t6,or(t3,t5))),and(carry,xor(t6,or(a,t5)))) )],[refute_0_20747,refute_0_20750]) ).
cnf(refute_0_20752,plain,
and(t6,or(t3,t5)) = and(t6,or(t3,t5)),
introduced(tautology,[refl,[$fot(and(t6,or(t3,t5)))]]) ).
cnf(refute_0_20753,plain,
( and(t6,or(t3,t5)) != and(t6,or(t3,t5))
| or(t3,t5) != or(a,t5)
| and(t6,or(t3,t5)) = and(t6,or(a,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(t3,t5)),and(t6,or(t3,t5))) ),[1,1],$fot(or(a,t5))]]) ).
cnf(refute_0_20754,plain,
( or(t3,t5) != or(a,t5)
| and(t6,or(t3,t5)) = and(t6,or(a,t5)) ),
inference(resolve,[$cnf( $equal(and(t6,or(t3,t5)),and(t6,or(t3,t5))) )],[refute_0_20752,refute_0_20753]) ).
cnf(refute_0_20755,plain,
and(t6,or(t3,t5)) = and(t6,or(a,t5)),
inference(resolve,[$cnf( $equal(or(t3,t5),or(a,t5)) )],[refute_0_14444,refute_0_20754]) ).
cnf(refute_0_20756,plain,
or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5)))) = or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5)))),
introduced(tautology,[refl,[$fot(or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5)))))]]) ).
cnf(refute_0_20757,plain,
( and(t6,or(t3,t5)) != and(t6,or(a,t5))
| or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5)))) != or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5))))
| or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5)))) = or(and(t6,or(a,t5)),and(carry,xor(t6,or(t3,t5)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5)))),or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5))))) ),[1,0],$fot(and(t6,or(a,t5)))]]) ).
cnf(refute_0_20758,plain,
( and(t6,or(t3,t5)) != and(t6,or(a,t5))
| or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5)))) = or(and(t6,or(a,t5)),and(carry,xor(t6,or(t3,t5)))) ),
inference(resolve,[$cnf( $equal(or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5)))),or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5))))) )],[refute_0_20756,refute_0_20757]) ).
cnf(refute_0_20759,plain,
or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5)))) = or(and(t6,or(a,t5)),and(carry,xor(t6,or(t3,t5)))),
inference(resolve,[$cnf( $equal(and(t6,or(t3,t5)),and(t6,or(a,t5))) )],[refute_0_20755,refute_0_20758]) ).
cnf(refute_0_20760,plain,
( or(and(t6,or(a,t5)),and(carry,xor(t6,or(t3,t5)))) != or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5))))
| or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5)))) != or(and(t6,or(a,t5)),and(carry,xor(t6,or(t3,t5))))
| or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5)))) = or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5)))))),bind(Y0,$fot(or(and(t6,or(a,t5)),and(carry,xor(t6,or(t3,t5)))))),bind(Z0,$fot(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5))))))]]) ).
cnf(refute_0_20761,plain,
( or(and(t6,or(a,t5)),and(carry,xor(t6,or(t3,t5)))) != or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5))))
| or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5)))) = or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))) ),
inference(resolve,[$cnf( $equal(or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5)))),or(and(t6,or(a,t5)),and(carry,xor(t6,or(t3,t5))))) )],[refute_0_20759,refute_0_20760]) ).
cnf(refute_0_20762,plain,
or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5)))) = or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),
inference(resolve,[$cnf( $equal(or(and(t6,or(a,t5)),and(carry,xor(t6,or(t3,t5)))),or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5))))) )],[refute_0_20751,refute_0_20761]) ).
cnf(refute_0_20763,plain,
or(t5,or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5))))) = or(t5,or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5))))),
introduced(tautology,[refl,[$fot(or(t5,or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5))))))]]) ).
cnf(refute_0_20764,plain,
( or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5)))) != or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5))))
| or(t5,or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5))))) != or(t5,or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5)))))
| or(t5,or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5))))) = or(t5,or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5))))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5))))),or(t5,or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5)))))) ),[1,1],$fot(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))))]]) ).
cnf(refute_0_20765,plain,
( or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5)))) != or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5))))
| or(t5,or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5))))) = or(t5,or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5))))) ),
inference(resolve,[$cnf( $equal(or(t5,or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5))))),or(t5,or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5)))))) )],[refute_0_20763,refute_0_20764]) ).
cnf(refute_0_20766,plain,
or(t5,or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5))))) = or(t5,or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5))))),
inference(resolve,[$cnf( $equal(or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5)))),or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5))))) )],[refute_0_20762,refute_0_20765]) ).
cnf(refute_0_20767,plain,
( or(t5,or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5))))) != ll1
| or(t5,or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5))))) != or(t5,or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))))
| or(t5,or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5))))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5))))),ll1) ),[0],$fot(or(t5,or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5))))))]]) ).
cnf(refute_0_20768,plain,
( or(t5,or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5))))) != ll1
| or(t5,or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5))))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t5,or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5))))),or(t5,or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))))) )],[refute_0_20766,refute_0_20767]) ).
cnf(refute_0_20769,plain,
or(t5,or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5))))) = ll1,
inference(resolve,[$cnf( $equal(or(t5,or(and(t6,or(t3,t5)),and(carry,xor(t6,or(t3,t5))))),ll1) )],[refute_0_20739,refute_0_20768]) ).
cnf(refute_0_20770,plain,
( or(t5,and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820)) != and(or(t5,or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5))))),or(t5,X_820))
| or(t5,or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5))))) != ll1
| or(t5,and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820)) = and(ll1,or(t5,X_820)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820)),and(or(t5,or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5))))),or(t5,X_820))) ),[1,0],$fot(ll1)]]) ).
cnf(refute_0_20771,plain,
( or(t5,and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820)) != and(or(t5,or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5))))),or(t5,X_820))
| or(t5,and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820)) = and(ll1,or(t5,X_820)) ),
inference(resolve,[$cnf( $equal(or(t5,or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5))))),ll1) )],[refute_0_20769,refute_0_20770]) ).
cnf(refute_0_20772,plain,
or(t5,and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820)) = and(ll1,or(t5,X_820)),
inference(resolve,[$cnf( $equal(or(t5,and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820)),and(or(t5,or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5))))),or(t5,X_820))) )],[refute_0_20672,refute_0_20771]) ).
cnf(refute_0_20773,plain,
and(ll1,t6) = t6,
inference(subst,[],[refute_0_64:[bind(X,$fot(t6))]]) ).
cnf(refute_0_20774,plain,
and(t6,ll1) = and(ll1,t6),
inference(subst,[],[refute_0_4252:[bind(X_14,$fot(ll1)),bind(X_669,$fot(t6))]]) ).
cnf(refute_0_20775,plain,
( and(ll1,t6) != t6
| and(t6,ll1) != and(ll1,t6)
| and(t6,ll1) = t6 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t6,ll1))),bind(Y0,$fot(and(ll1,t6))),bind(Z0,$fot(t6))]]) ).
cnf(refute_0_20776,plain,
( and(ll1,t6) != t6
| and(t6,ll1) = t6 ),
inference(resolve,[$cnf( $equal(and(t6,ll1),and(ll1,t6)) )],[refute_0_20774,refute_0_20775]) ).
cnf(refute_0_20777,plain,
and(t6,ll1) = t6,
inference(resolve,[$cnf( $equal(and(ll1,t6),t6) )],[refute_0_20773,refute_0_20776]) ).
cnf(refute_0_20778,plain,
or(t5,or(not(not(carry)),X_39)) = or(t5,or(not(carry),or(not(not(carry)),X_39))),
inference(subst,[],[refute_0_4370:[bind(X_39,$fot(or(not(not(carry)),X_39)))]]) ).
cnf(refute_0_20779,plain,
ll1 = or(not(carry),or(not(not(carry)),X_39)),
inference(subst,[],[refute_0_632:[bind(X_37,$fot(not(carry)))]]) ).
cnf(refute_0_20780,plain,
( ll1 != or(not(carry),or(not(not(carry)),X_39))
| or(not(carry),or(not(not(carry)),X_39)) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(not(carry),or(not(not(carry)),X_39))))]]) ).
cnf(refute_0_20781,plain,
or(not(carry),or(not(not(carry)),X_39)) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(not(carry),or(not(not(carry)),X_39))) )],[refute_0_20779,refute_0_20780]) ).
cnf(refute_0_20782,plain,
( or(not(carry),or(not(not(carry)),X_39)) != ll1
| or(t5,or(not(not(carry)),X_39)) != or(t5,or(not(carry),or(not(not(carry)),X_39)))
| or(t5,or(not(not(carry)),X_39)) = or(t5,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,or(not(not(carry)),X_39)),or(t5,or(not(carry),or(not(not(carry)),X_39)))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_20783,plain,
( or(t5,or(not(not(carry)),X_39)) != or(t5,or(not(carry),or(not(not(carry)),X_39)))
| or(t5,or(not(not(carry)),X_39)) = or(t5,ll1) ),
inference(resolve,[$cnf( $equal(or(not(carry),or(not(not(carry)),X_39)),ll1) )],[refute_0_20781,refute_0_20782]) ).
cnf(refute_0_20784,plain,
or(t5,or(not(not(carry)),X_39)) = or(t5,ll1),
inference(resolve,[$cnf( $equal(or(t5,or(not(not(carry)),X_39)),or(t5,or(not(carry),or(not(not(carry)),X_39)))) )],[refute_0_20778,refute_0_20783]) ).
cnf(refute_0_20785,plain,
or(t5,or(carry,X_39)) = or(carry,or(t5,X_39)),
inference(subst,[],[refute_0_267:[bind(X_37,$fot(t5)),bind(X_38,$fot(carry))]]) ).
cnf(refute_0_20786,plain,
or(not(not(carry)),X_39) = or(not(not(carry)),X_39),
introduced(tautology,[refl,[$fot(or(not(not(carry)),X_39))]]) ).
cnf(refute_0_20787,plain,
( not(not(carry)) != carry
| or(not(not(carry)),X_39) != or(not(not(carry)),X_39)
| or(not(not(carry)),X_39) = or(carry,X_39) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(not(carry)),X_39),or(not(not(carry)),X_39)) ),[1,0],$fot(carry)]]) ).
cnf(refute_0_20788,plain,
( not(not(carry)) != carry
| or(not(not(carry)),X_39) = or(carry,X_39) ),
inference(resolve,[$cnf( $equal(or(not(not(carry)),X_39),or(not(not(carry)),X_39)) )],[refute_0_20786,refute_0_20787]) ).
cnf(refute_0_20789,plain,
or(not(not(carry)),X_39) = or(carry,X_39),
inference(resolve,[$cnf( $equal(not(not(carry)),carry) )],[refute_0_1308,refute_0_20788]) ).
cnf(refute_0_20790,plain,
or(t5,or(not(not(carry)),X_39)) = or(t5,or(not(not(carry)),X_39)),
introduced(tautology,[refl,[$fot(or(t5,or(not(not(carry)),X_39)))]]) ).
cnf(refute_0_20791,plain,
( or(not(not(carry)),X_39) != or(carry,X_39)
| or(t5,or(not(not(carry)),X_39)) != or(t5,or(not(not(carry)),X_39))
| or(t5,or(not(not(carry)),X_39)) = or(t5,or(carry,X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,or(not(not(carry)),X_39)),or(t5,or(not(not(carry)),X_39))) ),[1,1],$fot(or(carry,X_39))]]) ).
cnf(refute_0_20792,plain,
( or(not(not(carry)),X_39) != or(carry,X_39)
| or(t5,or(not(not(carry)),X_39)) = or(t5,or(carry,X_39)) ),
inference(resolve,[$cnf( $equal(or(t5,or(not(not(carry)),X_39)),or(t5,or(not(not(carry)),X_39))) )],[refute_0_20790,refute_0_20791]) ).
cnf(refute_0_20793,plain,
or(t5,or(not(not(carry)),X_39)) = or(t5,or(carry,X_39)),
inference(resolve,[$cnf( $equal(or(not(not(carry)),X_39),or(carry,X_39)) )],[refute_0_20789,refute_0_20792]) ).
cnf(refute_0_20794,plain,
( or(t5,or(carry,X_39)) != or(carry,or(t5,X_39))
| or(t5,or(not(not(carry)),X_39)) != or(t5,or(carry,X_39))
| or(t5,or(not(not(carry)),X_39)) = or(carry,or(t5,X_39)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t5,or(not(not(carry)),X_39)))),bind(Y0,$fot(or(t5,or(carry,X_39)))),bind(Z0,$fot(or(carry,or(t5,X_39))))]]) ).
cnf(refute_0_20795,plain,
( or(t5,or(carry,X_39)) != or(carry,or(t5,X_39))
| or(t5,or(not(not(carry)),X_39)) = or(carry,or(t5,X_39)) ),
inference(resolve,[$cnf( $equal(or(t5,or(not(not(carry)),X_39)),or(t5,or(carry,X_39))) )],[refute_0_20793,refute_0_20794]) ).
cnf(refute_0_20796,plain,
or(t5,or(not(not(carry)),X_39)) = or(carry,or(t5,X_39)),
inference(resolve,[$cnf( $equal(or(t5,or(carry,X_39)),or(carry,or(t5,X_39))) )],[refute_0_20785,refute_0_20795]) ).
cnf(refute_0_20797,plain,
( or(t5,or(not(not(carry)),X_39)) != or(carry,or(t5,X_39))
| or(t5,or(not(not(carry)),X_39)) != or(t5,ll1)
| or(carry,or(t5,X_39)) = or(t5,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,or(not(not(carry)),X_39)),or(t5,ll1)) ),[0],$fot(or(carry,or(t5,X_39)))]]) ).
cnf(refute_0_20798,plain,
( or(t5,or(not(not(carry)),X_39)) != or(t5,ll1)
| or(carry,or(t5,X_39)) = or(t5,ll1) ),
inference(resolve,[$cnf( $equal(or(t5,or(not(not(carry)),X_39)),or(carry,or(t5,X_39))) )],[refute_0_20796,refute_0_20797]) ).
cnf(refute_0_20799,plain,
( or(carry,or(t5,X_39)) != or(t5,ll1)
| or(t5,ll1) != ll1
| or(carry,or(t5,X_39)) = ll1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(carry,or(t5,X_39)),ll1) ),[0],$fot(or(t5,ll1))]]) ).
cnf(refute_0_20800,plain,
( or(carry,or(t5,X_39)) != or(t5,ll1)
| or(carry,or(t5,X_39)) = ll1 ),
inference(resolve,[$cnf( $equal(or(t5,ll1),ll1) )],[refute_0_4386,refute_0_20799]) ).
cnf(refute_0_20801,plain,
( or(t5,or(not(not(carry)),X_39)) != or(t5,ll1)
| or(carry,or(t5,X_39)) = ll1 ),
inference(resolve,[$cnf( $equal(or(carry,or(t5,X_39)),or(t5,ll1)) )],[refute_0_20798,refute_0_20800]) ).
cnf(refute_0_20802,plain,
or(carry,or(t5,X_39)) = ll1,
inference(resolve,[$cnf( $equal(or(t5,or(not(not(carry)),X_39)),or(t5,ll1)) )],[refute_0_20784,refute_0_20801]) ).
cnf(refute_0_20803,plain,
or(carry,or(t5,X_109)) = ll1,
inference(subst,[],[refute_0_20802:[bind(X_39,$fot(X_109))]]) ).
cnf(refute_0_20804,plain,
or(X_109,t5) = or(t5,X_109),
inference(subst,[],[or_commutative:[bind(X,$fot(X_109)),bind(Y,$fot(t5))]]) ).
cnf(refute_0_20805,plain,
( or(X_109,t5) != or(t5,X_109)
| or(t5,X_109) = or(X_109,t5) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(X_109,t5))),bind(Y0,$fot(or(t5,X_109)))]]) ).
cnf(refute_0_20806,plain,
or(t5,X_109) = or(X_109,t5),
inference(resolve,[$cnf( $equal(or(X_109,t5),or(t5,X_109)) )],[refute_0_20804,refute_0_20805]) ).
cnf(refute_0_20807,plain,
( or(carry,or(t5,X_109)) != ll1
| or(t5,X_109) != or(X_109,t5)
| or(carry,or(X_109,t5)) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,or(t5,X_109)),ll1) ),[0,1],$fot(or(X_109,t5))]]) ).
cnf(refute_0_20808,plain,
( or(carry,or(t5,X_109)) != ll1
| or(carry,or(X_109,t5)) = ll1 ),
inference(resolve,[$cnf( $equal(or(t5,X_109),or(X_109,t5)) )],[refute_0_20806,refute_0_20807]) ).
cnf(refute_0_20809,plain,
or(carry,or(X_109,t5)) = ll1,
inference(resolve,[$cnf( $equal(or(carry,or(t5,X_109)),ll1) )],[refute_0_20803,refute_0_20808]) ).
cnf(refute_0_20810,plain,
or(carry,or(a,t5)) = ll1,
inference(subst,[],[refute_0_20809:[bind(X_109,$fot(a))]]) ).
cnf(refute_0_20811,plain,
and(t6,or(carry,or(a,t5))) = and(t6,or(carry,or(a,t5))),
introduced(tautology,[refl,[$fot(and(t6,or(carry,or(a,t5))))]]) ).
cnf(refute_0_20812,plain,
( and(t6,or(carry,or(a,t5))) != and(t6,or(carry,or(a,t5)))
| or(carry,or(a,t5)) != ll1
| and(t6,or(carry,or(a,t5))) = and(t6,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(carry,or(a,t5))),and(t6,or(carry,or(a,t5)))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_20813,plain,
( or(carry,or(a,t5)) != ll1
| and(t6,or(carry,or(a,t5))) = and(t6,ll1) ),
inference(resolve,[$cnf( $equal(and(t6,or(carry,or(a,t5))),and(t6,or(carry,or(a,t5)))) )],[refute_0_20811,refute_0_20812]) ).
cnf(refute_0_20814,plain,
and(t6,or(carry,or(a,t5))) = and(t6,ll1),
inference(resolve,[$cnf( $equal(or(carry,or(a,t5)),ll1) )],[refute_0_20810,refute_0_20813]) ).
cnf(refute_0_20815,plain,
( and(t6,ll1) != t6
| and(t6,or(carry,or(a,t5))) != and(t6,ll1)
| and(t6,or(carry,or(a,t5))) = t6 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t6,or(carry,or(a,t5))))),bind(Y0,$fot(and(t6,ll1))),bind(Z0,$fot(t6))]]) ).
cnf(refute_0_20816,plain,
( and(t6,ll1) != t6
| and(t6,or(carry,or(a,t5))) = t6 ),
inference(resolve,[$cnf( $equal(and(t6,or(carry,or(a,t5))),and(t6,ll1)) )],[refute_0_20814,refute_0_20815]) ).
cnf(refute_0_20817,plain,
and(t6,or(carry,or(a,t5))) = t6,
inference(resolve,[$cnf( $equal(and(t6,ll1),t6) )],[refute_0_20777,refute_0_20816]) ).
cnf(refute_0_20818,plain,
or(carry,and(t6,X_820)) = and(or(carry,t6),or(carry,X_820)),
inference(subst,[],[and_distributive:[bind(X,$fot(carry)),bind(Y,$fot(t6)),bind(Z,$fot(X_820))]]) ).
cnf(refute_0_20819,plain,
( or(carry,and(t6,X_820)) != and(or(carry,t6),or(carry,X_820))
| or(carry,t6) != t6
| or(carry,and(t6,X_820)) = and(t6,or(carry,X_820)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,and(t6,X_820)),and(or(carry,t6),or(carry,X_820))) ),[1,0],$fot(t6)]]) ).
cnf(refute_0_20820,plain,
( or(carry,and(t6,X_820)) != and(or(carry,t6),or(carry,X_820))
| or(carry,and(t6,X_820)) = and(t6,or(carry,X_820)) ),
inference(resolve,[$cnf( $equal(or(carry,t6),t6) )],[refute_0_10664,refute_0_20819]) ).
cnf(refute_0_20821,plain,
or(carry,and(t6,X_820)) = and(t6,or(carry,X_820)),
inference(resolve,[$cnf( $equal(or(carry,and(t6,X_820)),and(or(carry,t6),or(carry,X_820))) )],[refute_0_20818,refute_0_20820]) ).
cnf(refute_0_20822,plain,
or(carry,and(t6,or(a,t5))) = and(t6,or(carry,or(a,t5))),
inference(subst,[],[refute_0_20821:[bind(X_820,$fot(or(a,t5)))]]) ).
cnf(refute_0_20823,plain,
or(and(t6,or(a,t5)),carry) = or(carry,and(t6,or(a,t5))),
inference(subst,[],[refute_0_5:[bind(X,$fot(carry)),bind(Y,$fot(and(t6,or(a,t5))))]]) ).
cnf(refute_0_20824,plain,
( or(and(t6,or(a,t5)),carry) != or(carry,and(t6,or(a,t5)))
| or(carry,and(t6,or(a,t5))) != and(t6,or(carry,or(a,t5)))
| or(and(t6,or(a,t5)),carry) = and(t6,or(carry,or(a,t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(t6,or(a,t5)),carry))),bind(Y0,$fot(or(carry,and(t6,or(a,t5))))),bind(Z0,$fot(and(t6,or(carry,or(a,t5)))))]]) ).
cnf(refute_0_20825,plain,
( or(carry,and(t6,or(a,t5))) != and(t6,or(carry,or(a,t5)))
| or(and(t6,or(a,t5)),carry) = and(t6,or(carry,or(a,t5))) ),
inference(resolve,[$cnf( $equal(or(and(t6,or(a,t5)),carry),or(carry,and(t6,or(a,t5)))) )],[refute_0_20823,refute_0_20824]) ).
cnf(refute_0_20826,plain,
or(and(t6,or(a,t5)),carry) = and(t6,or(carry,or(a,t5))),
inference(resolve,[$cnf( $equal(or(carry,and(t6,or(a,t5))),and(t6,or(carry,or(a,t5)))) )],[refute_0_20822,refute_0_20825]) ).
cnf(refute_0_20827,plain,
or(and(t6,or(a,t5)),and(X_819,xor(t6,or(a,t5)))) = and(or(and(t6,or(a,t5)),X_819),or(and(t6,or(a,t5)),xor(t6,or(a,t5)))),
inference(subst,[],[and_distributive:[bind(X,$fot(and(t6,or(a,t5)))),bind(Y,$fot(X_819)),bind(Z,$fot(xor(t6,or(a,t5))))]]) ).
cnf(refute_0_20828,plain,
or(xor(t6,or(t3,t5)),not(xor(t6,or(t3,t5)))) = ll1,
inference(subst,[],[or_complement:[bind(X,$fot(xor(t6,or(t3,t5))))]]) ).
cnf(refute_0_20829,plain,
( not(xor(t6,or(t3,t5))) != and(t6,or(t3,t5))
| or(xor(t6,or(t3,t5)),not(xor(t6,or(t3,t5)))) != ll1
| or(xor(t6,or(t3,t5)),and(t6,or(t3,t5))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(t6,or(t3,t5)),not(xor(t6,or(t3,t5)))),ll1) ),[0,1],$fot(and(t6,or(t3,t5)))]]) ).
cnf(refute_0_20830,plain,
( or(xor(t6,or(t3,t5)),not(xor(t6,or(t3,t5)))) != ll1
| or(xor(t6,or(t3,t5)),and(t6,or(t3,t5))) = ll1 ),
inference(resolve,[$cnf( $equal(not(xor(t6,or(t3,t5))),and(t6,or(t3,t5))) )],[refute_0_20733,refute_0_20829]) ).
cnf(refute_0_20831,plain,
or(xor(t6,or(t3,t5)),and(t6,or(t3,t5))) = ll1,
inference(resolve,[$cnf( $equal(or(xor(t6,or(t3,t5)),not(xor(t6,or(t3,t5)))),ll1) )],[refute_0_20828,refute_0_20830]) ).
cnf(refute_0_20832,plain,
or(xor(t6,or(t3,t5)),and(t6,or(t3,t5))) = or(and(t6,or(t3,t5)),xor(t6,or(t3,t5))),
inference(subst,[],[refute_0_5:[bind(X,$fot(and(t6,or(t3,t5)))),bind(Y,$fot(xor(t6,or(t3,t5))))]]) ).
cnf(refute_0_20833,plain,
( or(xor(t6,or(t3,t5)),and(t6,or(t3,t5))) != ll1
| or(xor(t6,or(t3,t5)),and(t6,or(t3,t5))) != or(and(t6,or(t3,t5)),xor(t6,or(t3,t5)))
| or(and(t6,or(t3,t5)),xor(t6,or(t3,t5))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(t6,or(t3,t5)),and(t6,or(t3,t5))),ll1) ),[0],$fot(or(and(t6,or(t3,t5)),xor(t6,or(t3,t5))))]]) ).
cnf(refute_0_20834,plain,
( or(xor(t6,or(t3,t5)),and(t6,or(t3,t5))) != ll1
| or(and(t6,or(t3,t5)),xor(t6,or(t3,t5))) = ll1 ),
inference(resolve,[$cnf( $equal(or(xor(t6,or(t3,t5)),and(t6,or(t3,t5))),or(and(t6,or(t3,t5)),xor(t6,or(t3,t5)))) )],[refute_0_20832,refute_0_20833]) ).
cnf(refute_0_20835,plain,
or(and(t6,or(t3,t5)),xor(t6,or(t3,t5))) = ll1,
inference(resolve,[$cnf( $equal(or(xor(t6,or(t3,t5)),and(t6,or(t3,t5))),ll1) )],[refute_0_20831,refute_0_20834]) ).
cnf(refute_0_20836,plain,
or(and(t6,or(a,t5)),xor(t6,or(t3,t5))) = or(and(t6,or(a,t5)),xor(t6,or(t3,t5))),
introduced(tautology,[refl,[$fot(or(and(t6,or(a,t5)),xor(t6,or(t3,t5))))]]) ).
cnf(refute_0_20837,plain,
( or(and(t6,or(a,t5)),xor(t6,or(t3,t5))) != or(and(t6,or(a,t5)),xor(t6,or(t3,t5)))
| xor(t6,or(t3,t5)) != xor(t6,or(a,t5))
| or(and(t6,or(a,t5)),xor(t6,or(t3,t5))) = or(and(t6,or(a,t5)),xor(t6,or(a,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,or(a,t5)),xor(t6,or(t3,t5))),or(and(t6,or(a,t5)),xor(t6,or(t3,t5)))) ),[1,1],$fot(xor(t6,or(a,t5)))]]) ).
cnf(refute_0_20838,plain,
( xor(t6,or(t3,t5)) != xor(t6,or(a,t5))
| or(and(t6,or(a,t5)),xor(t6,or(t3,t5))) = or(and(t6,or(a,t5)),xor(t6,or(a,t5))) ),
inference(resolve,[$cnf( $equal(or(and(t6,or(a,t5)),xor(t6,or(t3,t5))),or(and(t6,or(a,t5)),xor(t6,or(t3,t5)))) )],[refute_0_20836,refute_0_20837]) ).
cnf(refute_0_20839,plain,
or(and(t6,or(a,t5)),xor(t6,or(t3,t5))) = or(and(t6,or(a,t5)),xor(t6,or(a,t5))),
inference(resolve,[$cnf( $equal(xor(t6,or(t3,t5)),xor(t6,or(a,t5))) )],[refute_0_20743,refute_0_20838]) ).
cnf(refute_0_20840,plain,
or(and(t6,or(t3,t5)),xor(t6,or(t3,t5))) = or(and(t6,or(t3,t5)),xor(t6,or(t3,t5))),
introduced(tautology,[refl,[$fot(or(and(t6,or(t3,t5)),xor(t6,or(t3,t5))))]]) ).
cnf(refute_0_20841,plain,
( and(t6,or(t3,t5)) != and(t6,or(a,t5))
| or(and(t6,or(t3,t5)),xor(t6,or(t3,t5))) != or(and(t6,or(t3,t5)),xor(t6,or(t3,t5)))
| or(and(t6,or(t3,t5)),xor(t6,or(t3,t5))) = or(and(t6,or(a,t5)),xor(t6,or(t3,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,or(t3,t5)),xor(t6,or(t3,t5))),or(and(t6,or(t3,t5)),xor(t6,or(t3,t5)))) ),[1,0],$fot(and(t6,or(a,t5)))]]) ).
cnf(refute_0_20842,plain,
( and(t6,or(t3,t5)) != and(t6,or(a,t5))
| or(and(t6,or(t3,t5)),xor(t6,or(t3,t5))) = or(and(t6,or(a,t5)),xor(t6,or(t3,t5))) ),
inference(resolve,[$cnf( $equal(or(and(t6,or(t3,t5)),xor(t6,or(t3,t5))),or(and(t6,or(t3,t5)),xor(t6,or(t3,t5)))) )],[refute_0_20840,refute_0_20841]) ).
cnf(refute_0_20843,plain,
or(and(t6,or(t3,t5)),xor(t6,or(t3,t5))) = or(and(t6,or(a,t5)),xor(t6,or(t3,t5))),
inference(resolve,[$cnf( $equal(and(t6,or(t3,t5)),and(t6,or(a,t5))) )],[refute_0_20755,refute_0_20842]) ).
cnf(refute_0_20844,plain,
( or(and(t6,or(a,t5)),xor(t6,or(t3,t5))) != or(and(t6,or(a,t5)),xor(t6,or(a,t5)))
| or(and(t6,or(t3,t5)),xor(t6,or(t3,t5))) != or(and(t6,or(a,t5)),xor(t6,or(t3,t5)))
| or(and(t6,or(t3,t5)),xor(t6,or(t3,t5))) = or(and(t6,or(a,t5)),xor(t6,or(a,t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(t6,or(t3,t5)),xor(t6,or(t3,t5))))),bind(Y0,$fot(or(and(t6,or(a,t5)),xor(t6,or(t3,t5))))),bind(Z0,$fot(or(and(t6,or(a,t5)),xor(t6,or(a,t5)))))]]) ).
cnf(refute_0_20845,plain,
( or(and(t6,or(a,t5)),xor(t6,or(t3,t5))) != or(and(t6,or(a,t5)),xor(t6,or(a,t5)))
| or(and(t6,or(t3,t5)),xor(t6,or(t3,t5))) = or(and(t6,or(a,t5)),xor(t6,or(a,t5))) ),
inference(resolve,[$cnf( $equal(or(and(t6,or(t3,t5)),xor(t6,or(t3,t5))),or(and(t6,or(a,t5)),xor(t6,or(t3,t5)))) )],[refute_0_20843,refute_0_20844]) ).
cnf(refute_0_20846,plain,
or(and(t6,or(t3,t5)),xor(t6,or(t3,t5))) = or(and(t6,or(a,t5)),xor(t6,or(a,t5))),
inference(resolve,[$cnf( $equal(or(and(t6,or(a,t5)),xor(t6,or(t3,t5))),or(and(t6,or(a,t5)),xor(t6,or(a,t5)))) )],[refute_0_20839,refute_0_20845]) ).
cnf(refute_0_20847,plain,
( or(and(t6,or(t3,t5)),xor(t6,or(t3,t5))) != ll1
| or(and(t6,or(t3,t5)),xor(t6,or(t3,t5))) != or(and(t6,or(a,t5)),xor(t6,or(a,t5)))
| or(and(t6,or(a,t5)),xor(t6,or(a,t5))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,or(t3,t5)),xor(t6,or(t3,t5))),ll1) ),[0],$fot(or(and(t6,or(a,t5)),xor(t6,or(a,t5))))]]) ).
cnf(refute_0_20848,plain,
( or(and(t6,or(t3,t5)),xor(t6,or(t3,t5))) != ll1
| or(and(t6,or(a,t5)),xor(t6,or(a,t5))) = ll1 ),
inference(resolve,[$cnf( $equal(or(and(t6,or(t3,t5)),xor(t6,or(t3,t5))),or(and(t6,or(a,t5)),xor(t6,or(a,t5)))) )],[refute_0_20846,refute_0_20847]) ).
cnf(refute_0_20849,plain,
or(and(t6,or(a,t5)),xor(t6,or(a,t5))) = ll1,
inference(resolve,[$cnf( $equal(or(and(t6,or(t3,t5)),xor(t6,or(t3,t5))),ll1) )],[refute_0_20835,refute_0_20848]) ).
cnf(refute_0_20850,plain,
( or(and(t6,or(a,t5)),and(X_819,xor(t6,or(a,t5)))) != and(or(and(t6,or(a,t5)),X_819),or(and(t6,or(a,t5)),xor(t6,or(a,t5))))
| or(and(t6,or(a,t5)),xor(t6,or(a,t5))) != ll1
| or(and(t6,or(a,t5)),and(X_819,xor(t6,or(a,t5)))) = and(or(and(t6,or(a,t5)),X_819),ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,or(a,t5)),and(X_819,xor(t6,or(a,t5)))),and(or(and(t6,or(a,t5)),X_819),or(and(t6,or(a,t5)),xor(t6,or(a,t5))))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_20851,plain,
( or(and(t6,or(a,t5)),and(X_819,xor(t6,or(a,t5)))) != and(or(and(t6,or(a,t5)),X_819),or(and(t6,or(a,t5)),xor(t6,or(a,t5))))
| or(and(t6,or(a,t5)),and(X_819,xor(t6,or(a,t5)))) = and(or(and(t6,or(a,t5)),X_819),ll1) ),
inference(resolve,[$cnf( $equal(or(and(t6,or(a,t5)),xor(t6,or(a,t5))),ll1) )],[refute_0_20849,refute_0_20850]) ).
cnf(refute_0_20852,plain,
or(and(t6,or(a,t5)),and(X_819,xor(t6,or(a,t5)))) = and(or(and(t6,or(a,t5)),X_819),ll1),
inference(resolve,[$cnf( $equal(or(and(t6,or(a,t5)),and(X_819,xor(t6,or(a,t5)))),and(or(and(t6,or(a,t5)),X_819),or(and(t6,or(a,t5)),xor(t6,or(a,t5))))) )],[refute_0_20827,refute_0_20851]) ).
cnf(refute_0_20853,plain,
and(ll1,or(and(t6,or(a,t5)),X_819)) = or(and(t6,or(a,t5)),X_819),
inference(subst,[],[refute_0_64:[bind(X,$fot(or(and(t6,or(a,t5)),X_819)))]]) ).
cnf(refute_0_20854,plain,
and(or(and(t6,or(a,t5)),X_819),ll1) = and(ll1,or(and(t6,or(a,t5)),X_819)),
inference(subst,[],[refute_0_4252:[bind(X_14,$fot(ll1)),bind(X_669,$fot(or(and(t6,or(a,t5)),X_819)))]]) ).
cnf(refute_0_20855,plain,
( and(ll1,or(and(t6,or(a,t5)),X_819)) != or(and(t6,or(a,t5)),X_819)
| and(or(and(t6,or(a,t5)),X_819),ll1) != and(ll1,or(and(t6,or(a,t5)),X_819))
| and(or(and(t6,or(a,t5)),X_819),ll1) = or(and(t6,or(a,t5)),X_819) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(or(and(t6,or(a,t5)),X_819),ll1))),bind(Y0,$fot(and(ll1,or(and(t6,or(a,t5)),X_819)))),bind(Z0,$fot(or(and(t6,or(a,t5)),X_819)))]]) ).
cnf(refute_0_20856,plain,
( and(ll1,or(and(t6,or(a,t5)),X_819)) != or(and(t6,or(a,t5)),X_819)
| and(or(and(t6,or(a,t5)),X_819),ll1) = or(and(t6,or(a,t5)),X_819) ),
inference(resolve,[$cnf( $equal(and(or(and(t6,or(a,t5)),X_819),ll1),and(ll1,or(and(t6,or(a,t5)),X_819))) )],[refute_0_20854,refute_0_20855]) ).
cnf(refute_0_20857,plain,
and(or(and(t6,or(a,t5)),X_819),ll1) = or(and(t6,or(a,t5)),X_819),
inference(resolve,[$cnf( $equal(and(ll1,or(and(t6,or(a,t5)),X_819)),or(and(t6,or(a,t5)),X_819)) )],[refute_0_20853,refute_0_20856]) ).
cnf(refute_0_20858,plain,
( and(or(and(t6,or(a,t5)),X_819),ll1) != or(and(t6,or(a,t5)),X_819)
| or(and(t6,or(a,t5)),and(X_819,xor(t6,or(a,t5)))) != and(or(and(t6,or(a,t5)),X_819),ll1)
| or(and(t6,or(a,t5)),and(X_819,xor(t6,or(a,t5)))) = or(and(t6,or(a,t5)),X_819) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,or(a,t5)),and(X_819,xor(t6,or(a,t5)))),and(or(and(t6,or(a,t5)),X_819),ll1)) ),[1],$fot(or(and(t6,or(a,t5)),X_819))]]) ).
cnf(refute_0_20859,plain,
( or(and(t6,or(a,t5)),and(X_819,xor(t6,or(a,t5)))) != and(or(and(t6,or(a,t5)),X_819),ll1)
| or(and(t6,or(a,t5)),and(X_819,xor(t6,or(a,t5)))) = or(and(t6,or(a,t5)),X_819) ),
inference(resolve,[$cnf( $equal(and(or(and(t6,or(a,t5)),X_819),ll1),or(and(t6,or(a,t5)),X_819)) )],[refute_0_20857,refute_0_20858]) ).
cnf(refute_0_20860,plain,
or(and(t6,or(a,t5)),and(X_819,xor(t6,or(a,t5)))) = or(and(t6,or(a,t5)),X_819),
inference(resolve,[$cnf( $equal(or(and(t6,or(a,t5)),and(X_819,xor(t6,or(a,t5)))),and(or(and(t6,or(a,t5)),X_819),ll1)) )],[refute_0_20852,refute_0_20859]) ).
cnf(refute_0_20861,plain,
or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))) = or(and(t6,or(a,t5)),carry),
inference(subst,[],[refute_0_20860:[bind(X_819,$fot(carry))]]) ).
cnf(refute_0_20862,plain,
( or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))) != or(and(t6,or(a,t5)),carry)
| or(and(t6,or(a,t5)),carry) != and(t6,or(carry,or(a,t5)))
| or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))) = and(t6,or(carry,or(a,t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))))),bind(Y0,$fot(or(and(t6,or(a,t5)),carry))),bind(Z0,$fot(and(t6,or(carry,or(a,t5)))))]]) ).
cnf(refute_0_20863,plain,
( or(and(t6,or(a,t5)),carry) != and(t6,or(carry,or(a,t5)))
| or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))) = and(t6,or(carry,or(a,t5))) ),
inference(resolve,[$cnf( $equal(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),or(and(t6,or(a,t5)),carry)) )],[refute_0_20861,refute_0_20862]) ).
cnf(refute_0_20864,plain,
or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))) = and(t6,or(carry,or(a,t5))),
inference(resolve,[$cnf( $equal(or(and(t6,or(a,t5)),carry),and(t6,or(carry,or(a,t5)))) )],[refute_0_20826,refute_0_20863]) ).
cnf(refute_0_20865,plain,
( and(t6,or(carry,or(a,t5))) != t6
| or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))) != and(t6,or(carry,or(a,t5)))
| or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))) = t6 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))))),bind(Y0,$fot(and(t6,or(carry,or(a,t5))))),bind(Z0,$fot(t6))]]) ).
cnf(refute_0_20866,plain,
( and(t6,or(carry,or(a,t5))) != t6
| or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))) = t6 ),
inference(resolve,[$cnf( $equal(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),and(t6,or(carry,or(a,t5)))) )],[refute_0_20864,refute_0_20865]) ).
cnf(refute_0_20867,plain,
or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))) = t6,
inference(resolve,[$cnf( $equal(and(t6,or(carry,or(a,t5))),t6) )],[refute_0_20817,refute_0_20866]) ).
cnf(refute_0_20868,plain,
and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820) = and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820),
introduced(tautology,[refl,[$fot(and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820))]]) ).
cnf(refute_0_20869,plain,
( and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820) != and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820)
| or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))) != t6
| and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820) = and(t6,X_820) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820),and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820)) ),[1,0],$fot(t6)]]) ).
cnf(refute_0_20870,plain,
( or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))) != t6
| and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820) = and(t6,X_820) ),
inference(resolve,[$cnf( $equal(and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820),and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820)) )],[refute_0_20868,refute_0_20869]) ).
cnf(refute_0_20871,plain,
and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820) = and(t6,X_820),
inference(resolve,[$cnf( $equal(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),t6) )],[refute_0_20867,refute_0_20870]) ).
cnf(refute_0_20872,plain,
or(t5,and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820)) = or(t5,and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820)),
introduced(tautology,[refl,[$fot(or(t5,and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820)))]]) ).
cnf(refute_0_20873,plain,
( and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820) != and(t6,X_820)
| or(t5,and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820)) != or(t5,and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820))
| or(t5,and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820)) = or(t5,and(t6,X_820)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820)),or(t5,and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820))) ),[1,1],$fot(and(t6,X_820))]]) ).
cnf(refute_0_20874,plain,
( and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820) != and(t6,X_820)
| or(t5,and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820)) = or(t5,and(t6,X_820)) ),
inference(resolve,[$cnf( $equal(or(t5,and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820)),or(t5,and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820))) )],[refute_0_20872,refute_0_20873]) ).
cnf(refute_0_20875,plain,
or(t5,and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820)) = or(t5,and(t6,X_820)),
inference(resolve,[$cnf( $equal(and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820),and(t6,X_820)) )],[refute_0_20871,refute_0_20874]) ).
cnf(refute_0_20876,plain,
( or(t5,and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820)) != and(ll1,or(t5,X_820))
| or(t5,and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820)) != or(t5,and(t6,X_820))
| or(t5,and(t6,X_820)) = and(ll1,or(t5,X_820)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820)),and(ll1,or(t5,X_820))) ),[0],$fot(or(t5,and(t6,X_820)))]]) ).
cnf(refute_0_20877,plain,
( or(t5,and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820)) != and(ll1,or(t5,X_820))
| or(t5,and(t6,X_820)) = and(ll1,or(t5,X_820)) ),
inference(resolve,[$cnf( $equal(or(t5,and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820)),or(t5,and(t6,X_820))) )],[refute_0_20875,refute_0_20876]) ).
cnf(refute_0_20878,plain,
and(ll1,or(t5,X_820)) = or(t5,X_820),
inference(subst,[],[refute_0_64:[bind(X,$fot(or(t5,X_820)))]]) ).
cnf(refute_0_20879,plain,
( and(ll1,or(t5,X_820)) != or(t5,X_820)
| or(t5,and(t6,X_820)) != and(ll1,or(t5,X_820))
| or(t5,and(t6,X_820)) = or(t5,X_820) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,and(t6,X_820)),and(ll1,or(t5,X_820))) ),[1],$fot(or(t5,X_820))]]) ).
cnf(refute_0_20880,plain,
( or(t5,and(t6,X_820)) != and(ll1,or(t5,X_820))
| or(t5,and(t6,X_820)) = or(t5,X_820) ),
inference(resolve,[$cnf( $equal(and(ll1,or(t5,X_820)),or(t5,X_820)) )],[refute_0_20878,refute_0_20879]) ).
cnf(refute_0_20881,plain,
( or(t5,and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820)) != and(ll1,or(t5,X_820))
| or(t5,and(t6,X_820)) = or(t5,X_820) ),
inference(resolve,[$cnf( $equal(or(t5,and(t6,X_820)),and(ll1,or(t5,X_820))) )],[refute_0_20877,refute_0_20880]) ).
cnf(refute_0_20882,plain,
or(t5,and(t6,X_820)) = or(t5,X_820),
inference(resolve,[$cnf( $equal(or(t5,and(or(and(t6,or(a,t5)),and(carry,xor(t6,or(a,t5)))),X_820)),and(ll1,or(t5,X_820))) )],[refute_0_20772,refute_0_20881]) ).
cnf(refute_0_20883,plain,
or(t5,and(t6,not(t2))) = or(t5,not(t2)),
inference(subst,[],[refute_0_20882:[bind(X_820,$fot(not(t2)))]]) ).
cnf(refute_0_20884,plain,
( or(t5,and(t6,not(t2))) != or(t5,not(t2))
| or(t5,not(t2)) != or(a,t5)
| or(t5,and(t6,not(t2))) = or(a,t5) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t5,and(t6,not(t2))))),bind(Y0,$fot(or(t5,not(t2)))),bind(Z0,$fot(or(a,t5)))]]) ).
cnf(refute_0_20885,plain,
( or(t5,not(t2)) != or(a,t5)
| or(t5,and(t6,not(t2))) = or(a,t5) ),
inference(resolve,[$cnf( $equal(or(t5,and(t6,not(t2))),or(t5,not(t2))) )],[refute_0_20883,refute_0_20884]) ).
cnf(refute_0_20886,plain,
or(t5,and(t6,not(t2))) = or(a,t5),
inference(resolve,[$cnf( $equal(or(t5,not(t2)),or(a,t5)) )],[refute_0_20671,refute_0_20885]) ).
cnf(refute_0_20887,plain,
not(or(t5,and(t6,not(t2)))) = not(or(t5,and(t6,not(t2)))),
introduced(tautology,[refl,[$fot(not(or(t5,and(t6,not(t2)))))]]) ).
cnf(refute_0_20888,plain,
( not(or(t5,and(t6,not(t2)))) != not(or(t5,and(t6,not(t2))))
| or(t5,and(t6,not(t2))) != or(a,t5)
| not(or(t5,and(t6,not(t2)))) = not(or(a,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t5,and(t6,not(t2)))),not(or(t5,and(t6,not(t2))))) ),[1,0],$fot(or(a,t5))]]) ).
cnf(refute_0_20889,plain,
( or(t5,and(t6,not(t2))) != or(a,t5)
| not(or(t5,and(t6,not(t2)))) = not(or(a,t5)) ),
inference(resolve,[$cnf( $equal(not(or(t5,and(t6,not(t2)))),not(or(t5,and(t6,not(t2))))) )],[refute_0_20887,refute_0_20888]) ).
cnf(refute_0_20890,plain,
not(or(t5,and(t6,not(t2)))) = not(or(a,t5)),
inference(resolve,[$cnf( $equal(or(t5,and(t6,not(t2))),or(a,t5)) )],[refute_0_20886,refute_0_20889]) ).
cnf(refute_0_20891,plain,
not(and(or(X_818,X_820),or(X_818,X_819))) = not(and(or(X_818,X_819),or(X_818,X_820))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(or(X_818,X_819))),bind(X_32,$fot(or(X_818,X_820)))]]) ).
cnf(refute_0_20892,plain,
( and(or(X_818,X_819),or(X_818,X_820)) != or(X_818,and(X_819,X_820))
| not(and(or(X_818,X_820),or(X_818,X_819))) != not(and(or(X_818,X_819),or(X_818,X_820)))
| not(and(or(X_818,X_820),or(X_818,X_819))) = not(or(X_818,and(X_819,X_820))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(X_818,X_820),or(X_818,X_819))),not(and(or(X_818,X_819),or(X_818,X_820)))) ),[1,0],$fot(or(X_818,and(X_819,X_820)))]]) ).
cnf(refute_0_20893,plain,
( not(and(or(X_818,X_820),or(X_818,X_819))) != not(and(or(X_818,X_819),or(X_818,X_820)))
| not(and(or(X_818,X_820),or(X_818,X_819))) = not(or(X_818,and(X_819,X_820))) ),
inference(resolve,[$cnf( $equal(and(or(X_818,X_819),or(X_818,X_820)),or(X_818,and(X_819,X_820))) )],[refute_0_4331,refute_0_20892]) ).
cnf(refute_0_20894,plain,
not(and(or(X_818,X_820),or(X_818,X_819))) = not(or(X_818,and(X_819,X_820))),
inference(resolve,[$cnf( $equal(not(and(or(X_818,X_820),or(X_818,X_819))),not(and(or(X_818,X_819),or(X_818,X_820)))) )],[refute_0_20891,refute_0_20893]) ).
cnf(refute_0_20895,plain,
not(and(or(X_818,X_820),or(X_818,X_819))) = not(and(or(X_818,X_820),or(X_818,X_819))),
introduced(tautology,[refl,[$fot(not(and(or(X_818,X_820),or(X_818,X_819))))]]) ).
cnf(refute_0_20896,plain,
( and(or(X_818,X_820),or(X_818,X_819)) != or(X_818,and(X_820,X_819))
| not(and(or(X_818,X_820),or(X_818,X_819))) != not(and(or(X_818,X_820),or(X_818,X_819)))
| not(and(or(X_818,X_820),or(X_818,X_819))) = not(or(X_818,and(X_820,X_819))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(X_818,X_820),or(X_818,X_819))),not(and(or(X_818,X_820),or(X_818,X_819)))) ),[1,0],$fot(or(X_818,and(X_820,X_819)))]]) ).
cnf(refute_0_20897,plain,
( and(or(X_818,X_820),or(X_818,X_819)) != or(X_818,and(X_820,X_819))
| not(and(or(X_818,X_820),or(X_818,X_819))) = not(or(X_818,and(X_820,X_819))) ),
inference(resolve,[$cnf( $equal(not(and(or(X_818,X_820),or(X_818,X_819))),not(and(or(X_818,X_820),or(X_818,X_819)))) )],[refute_0_20895,refute_0_20896]) ).
cnf(refute_0_20898,plain,
not(and(or(X_818,X_820),or(X_818,X_819))) = not(or(X_818,and(X_820,X_819))),
inference(resolve,[$cnf( $equal(and(or(X_818,X_820),or(X_818,X_819)),or(X_818,and(X_820,X_819))) )],[refute_0_4337,refute_0_20897]) ).
cnf(refute_0_20899,plain,
( not(and(or(X_818,X_820),or(X_818,X_819))) != not(or(X_818,and(X_819,X_820)))
| not(and(or(X_818,X_820),or(X_818,X_819))) != not(or(X_818,and(X_820,X_819)))
| not(or(X_818,and(X_820,X_819))) = not(or(X_818,and(X_819,X_820))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(X_818,X_820),or(X_818,X_819))),not(or(X_818,and(X_819,X_820)))) ),[0],$fot(not(or(X_818,and(X_820,X_819))))]]) ).
cnf(refute_0_20900,plain,
( not(and(or(X_818,X_820),or(X_818,X_819))) != not(or(X_818,and(X_819,X_820)))
| not(or(X_818,and(X_820,X_819))) = not(or(X_818,and(X_819,X_820))) ),
inference(resolve,[$cnf( $equal(not(and(or(X_818,X_820),or(X_818,X_819))),not(or(X_818,and(X_820,X_819)))) )],[refute_0_20898,refute_0_20899]) ).
cnf(refute_0_20901,plain,
not(or(X_818,and(X_820,X_819))) = not(or(X_818,and(X_819,X_820))),
inference(resolve,[$cnf( $equal(not(and(or(X_818,X_820),or(X_818,X_819))),not(or(X_818,and(X_819,X_820)))) )],[refute_0_20894,refute_0_20900]) ).
cnf(refute_0_20902,plain,
( not(or(X_818,and(X_820,X_819))) != not(or(X_818,and(X_819,X_820)))
| not(or(X_818,and(X_819,X_820))) = not(or(X_818,and(X_820,X_819))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X_818,and(X_820,X_819))))),bind(Y0,$fot(not(or(X_818,and(X_819,X_820)))))]]) ).
cnf(refute_0_20903,plain,
not(or(X_818,and(X_819,X_820))) = not(or(X_818,and(X_820,X_819))),
inference(resolve,[$cnf( $equal(not(or(X_818,and(X_820,X_819))),not(or(X_818,and(X_819,X_820)))) )],[refute_0_20901,refute_0_20902]) ).
cnf(refute_0_20904,plain,
not(or(t5,and(not(t2),t6))) = not(or(t5,and(t6,not(t2)))),
inference(subst,[],[refute_0_20903:[bind(X_818,$fot(t5)),bind(X_819,$fot(not(t2))),bind(X_820,$fot(t6))]]) ).
cnf(refute_0_20905,plain,
( not(or(t5,and(not(t2),t6))) != not(or(t5,and(t6,not(t2))))
| not(or(t5,and(t6,not(t2)))) != not(or(a,t5))
| not(or(t5,and(not(t2),t6))) = not(or(a,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(t5,and(not(t2),t6))))),bind(Y0,$fot(not(or(t5,and(t6,not(t2)))))),bind(Z0,$fot(not(or(a,t5))))]]) ).
cnf(refute_0_20906,plain,
( not(or(t5,and(t6,not(t2)))) != not(or(a,t5))
| not(or(t5,and(not(t2),t6))) = not(or(a,t5)) ),
inference(resolve,[$cnf( $equal(not(or(t5,and(not(t2),t6))),not(or(t5,and(t6,not(t2))))) )],[refute_0_20904,refute_0_20905]) ).
cnf(refute_0_20907,plain,
not(or(t5,and(not(t2),t6))) = not(or(a,t5)),
inference(resolve,[$cnf( $equal(not(or(t5,and(t6,not(t2)))),not(or(a,t5))) )],[refute_0_20890,refute_0_20906]) ).
cnf(refute_0_20908,plain,
and(not(t5),or(t2,not(t6))) = not(or(t5,and(not(t2),t6))),
inference(subst,[],[refute_0_5529:[bind(X,$fot(t5)),bind(X_33,$fot(t2)),bind(X_34,$fot(t6))]]) ).
cnf(refute_0_20909,plain,
( and(not(t5),or(t2,not(t6))) != not(or(t5,and(not(t2),t6)))
| not(or(t5,and(not(t2),t6))) != not(or(a,t5))
| and(not(t5),or(t2,not(t6))) = not(or(a,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t5),or(t2,not(t6))))),bind(Y0,$fot(not(or(t5,and(not(t2),t6))))),bind(Z0,$fot(not(or(a,t5))))]]) ).
cnf(refute_0_20910,plain,
( not(or(t5,and(not(t2),t6))) != not(or(a,t5))
| and(not(t5),or(t2,not(t6))) = not(or(a,t5)) ),
inference(resolve,[$cnf( $equal(and(not(t5),or(t2,not(t6))),not(or(t5,and(not(t2),t6)))) )],[refute_0_20908,refute_0_20909]) ).
cnf(refute_0_20911,plain,
and(not(t5),or(t2,not(t6))) = not(or(a,t5)),
inference(resolve,[$cnf( $equal(not(or(t5,and(not(t2),t6))),not(or(a,t5))) )],[refute_0_20907,refute_0_20910]) ).
cnf(refute_0_20912,plain,
or(or(t2,and(t3,not(t6))),and(t3,or(t2,and(t3,not(t6))))) = or(t2,and(t3,not(t6))),
inference(subst,[],[refute_0_222:[bind(X_13,$fot(or(t2,and(t3,not(t6))))),bind(X_14,$fot(t3))]]) ).
cnf(refute_0_20913,plain,
and(t3,not(and(a,xor(t2,or(t6,not(t3)))))) = xor(t3,and(a,xor(t2,or(t6,not(t3))))),
inference(subst,[],[refute_0_1693:[bind(X_42,$fot(xor(t2,or(t6,not(t3)))))]]) ).
cnf(refute_0_20914,plain,
( and(a,xor(t2,or(t6,not(t3)))) != xor(t2,or(t6,not(t3)))
| and(t3,not(and(a,xor(t2,or(t6,not(t3)))))) != xor(t3,and(a,xor(t2,or(t6,not(t3)))))
| and(t3,not(xor(t2,or(t6,not(t3))))) = xor(t3,and(a,xor(t2,or(t6,not(t3))))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,not(and(a,xor(t2,or(t6,not(t3)))))),xor(t3,and(a,xor(t2,or(t6,not(t3)))))) ),[0,1,0],$fot(xor(t2,or(t6,not(t3))))]]) ).
cnf(refute_0_20915,plain,
( and(t3,not(and(a,xor(t2,or(t6,not(t3)))))) != xor(t3,and(a,xor(t2,or(t6,not(t3)))))
| and(t3,not(xor(t2,or(t6,not(t3))))) = xor(t3,and(a,xor(t2,or(t6,not(t3))))) ),
inference(resolve,[$cnf( $equal(and(a,xor(t2,or(t6,not(t3)))),xor(t2,or(t6,not(t3)))) )],[refute_0_20261,refute_0_20914]) ).
cnf(refute_0_20916,plain,
and(t3,not(xor(t2,or(t6,not(t3))))) = xor(t3,and(a,xor(t2,or(t6,not(t3))))),
inference(resolve,[$cnf( $equal(and(t3,not(and(a,xor(t2,or(t6,not(t3)))))),xor(t3,and(a,xor(t2,or(t6,not(t3)))))) )],[refute_0_20913,refute_0_20915]) ).
cnf(refute_0_20917,plain,
( or(t2,and(t3,not(t6))) != xor(t2,and(t3,not(t6)))
| xor(t2,and(t3,not(t6))) = or(t2,and(t3,not(t6))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(t2,and(t3,not(t6))))),bind(Y0,$fot(xor(t2,and(t3,not(t6)))))]]) ).
cnf(refute_0_20918,plain,
xor(t2,and(t3,not(t6))) = or(t2,and(t3,not(t6))),
inference(resolve,[$cnf( $equal(or(t2,and(t3,not(t6))),xor(t2,and(t3,not(t6)))) )],[refute_0_20214,refute_0_20917]) ).
cnf(refute_0_20919,plain,
( xor(t2,and(not(t6),t3)) != xor(t2,and(t3,not(t6)))
| xor(t2,and(t3,not(t6))) != or(t2,and(t3,not(t6)))
| xor(t2,and(not(t6),t3)) = or(t2,and(t3,not(t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,and(not(t6),t3)))),bind(Y0,$fot(xor(t2,and(t3,not(t6))))),bind(Z0,$fot(or(t2,and(t3,not(t6)))))]]) ).
cnf(refute_0_20920,plain,
( xor(t2,and(t3,not(t6))) != or(t2,and(t3,not(t6)))
| xor(t2,and(not(t6),t3)) = or(t2,and(t3,not(t6))) ),
inference(resolve,[$cnf( $equal(xor(t2,and(not(t6),t3)),xor(t2,and(t3,not(t6)))) )],[refute_0_20207,refute_0_20919]) ).
cnf(refute_0_20921,plain,
xor(t2,and(not(t6),t3)) = or(t2,and(t3,not(t6))),
inference(resolve,[$cnf( $equal(xor(t2,and(t3,not(t6))),or(t2,and(t3,not(t6)))) )],[refute_0_20918,refute_0_20920]) ).
cnf(refute_0_20922,plain,
( not(xor(t2,or(t6,not(t3)))) != xor(t2,and(not(t6),t3))
| xor(t2,and(not(t6),t3)) != or(t2,and(t3,not(t6)))
| not(xor(t2,or(t6,not(t3)))) = or(t2,and(t3,not(t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t2,or(t6,not(t3)))))),bind(Y0,$fot(xor(t2,and(not(t6),t3)))),bind(Z0,$fot(or(t2,and(t3,not(t6)))))]]) ).
cnf(refute_0_20923,plain,
( xor(t2,and(not(t6),t3)) != or(t2,and(t3,not(t6)))
| not(xor(t2,or(t6,not(t3)))) = or(t2,and(t3,not(t6))) ),
inference(resolve,[$cnf( $equal(not(xor(t2,or(t6,not(t3)))),xor(t2,and(not(t6),t3))) )],[refute_0_20208,refute_0_20922]) ).
cnf(refute_0_20924,plain,
not(xor(t2,or(t6,not(t3)))) = or(t2,and(t3,not(t6))),
inference(resolve,[$cnf( $equal(xor(t2,and(not(t6),t3)),or(t2,and(t3,not(t6)))) )],[refute_0_20921,refute_0_20923]) ).
cnf(refute_0_20925,plain,
and(t3,not(xor(t2,or(t6,not(t3))))) = and(t3,not(xor(t2,or(t6,not(t3))))),
introduced(tautology,[refl,[$fot(and(t3,not(xor(t2,or(t6,not(t3))))))]]) ).
cnf(refute_0_20926,plain,
( and(t3,not(xor(t2,or(t6,not(t3))))) != and(t3,not(xor(t2,or(t6,not(t3)))))
| not(xor(t2,or(t6,not(t3)))) != or(t2,and(t3,not(t6)))
| and(t3,not(xor(t2,or(t6,not(t3))))) = and(t3,or(t2,and(t3,not(t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,not(xor(t2,or(t6,not(t3))))),and(t3,not(xor(t2,or(t6,not(t3)))))) ),[1,1],$fot(or(t2,and(t3,not(t6))))]]) ).
cnf(refute_0_20927,plain,
( not(xor(t2,or(t6,not(t3)))) != or(t2,and(t3,not(t6)))
| and(t3,not(xor(t2,or(t6,not(t3))))) = and(t3,or(t2,and(t3,not(t6)))) ),
inference(resolve,[$cnf( $equal(and(t3,not(xor(t2,or(t6,not(t3))))),and(t3,not(xor(t2,or(t6,not(t3)))))) )],[refute_0_20925,refute_0_20926]) ).
cnf(refute_0_20928,plain,
and(t3,not(xor(t2,or(t6,not(t3))))) = and(t3,or(t2,and(t3,not(t6)))),
inference(resolve,[$cnf( $equal(not(xor(t2,or(t6,not(t3)))),or(t2,and(t3,not(t6)))) )],[refute_0_20924,refute_0_20927]) ).
cnf(refute_0_20929,plain,
( and(t3,not(xor(t2,or(t6,not(t3))))) != and(t3,or(t2,and(t3,not(t6))))
| and(t3,not(xor(t2,or(t6,not(t3))))) != xor(t3,and(a,xor(t2,or(t6,not(t3)))))
| and(t3,or(t2,and(t3,not(t6)))) = xor(t3,and(a,xor(t2,or(t6,not(t3))))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,not(xor(t2,or(t6,not(t3))))),xor(t3,and(a,xor(t2,or(t6,not(t3)))))) ),[0],$fot(and(t3,or(t2,and(t3,not(t6)))))]]) ).
cnf(refute_0_20930,plain,
( and(t3,not(xor(t2,or(t6,not(t3))))) != xor(t3,and(a,xor(t2,or(t6,not(t3)))))
| and(t3,or(t2,and(t3,not(t6)))) = xor(t3,and(a,xor(t2,or(t6,not(t3))))) ),
inference(resolve,[$cnf( $equal(and(t3,not(xor(t2,or(t6,not(t3))))),and(t3,or(t2,and(t3,not(t6))))) )],[refute_0_20928,refute_0_20929]) ).
cnf(refute_0_20931,plain,
( and(t3,or(t2,and(t3,not(t6)))) != xor(t3,and(a,xor(t2,or(t6,not(t3)))))
| xor(t3,and(a,xor(t2,or(t6,not(t3))))) != xor(t4,or(t6,not(t3)))
| and(t3,or(t2,and(t3,not(t6)))) = xor(t4,or(t6,not(t3))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t3,or(t2,and(t3,not(t6)))),xor(t4,or(t6,not(t3)))) ),[0],$fot(xor(t3,and(a,xor(t2,or(t6,not(t3))))))]]) ).
cnf(refute_0_20932,plain,
( and(t3,or(t2,and(t3,not(t6)))) != xor(t3,and(a,xor(t2,or(t6,not(t3)))))
| and(t3,or(t2,and(t3,not(t6)))) = xor(t4,or(t6,not(t3))) ),
inference(resolve,[$cnf( $equal(xor(t3,and(a,xor(t2,or(t6,not(t3))))),xor(t4,or(t6,not(t3)))) )],[refute_0_20327,refute_0_20931]) ).
cnf(refute_0_20933,plain,
( and(t3,not(xor(t2,or(t6,not(t3))))) != xor(t3,and(a,xor(t2,or(t6,not(t3)))))
| and(t3,or(t2,and(t3,not(t6)))) = xor(t4,or(t6,not(t3))) ),
inference(resolve,[$cnf( $equal(and(t3,or(t2,and(t3,not(t6)))),xor(t3,and(a,xor(t2,or(t6,not(t3)))))) )],[refute_0_20930,refute_0_20932]) ).
cnf(refute_0_20934,plain,
and(t3,or(t2,and(t3,not(t6)))) = xor(t4,or(t6,not(t3))),
inference(resolve,[$cnf( $equal(and(t3,not(xor(t2,or(t6,not(t3))))),xor(t3,and(a,xor(t2,or(t6,not(t3)))))) )],[refute_0_20916,refute_0_20933]) ).
cnf(refute_0_20935,plain,
( and(t3,or(t2,and(t3,not(t6)))) != xor(t4,or(t6,not(t3)))
| or(or(t2,and(t3,not(t6))),and(t3,or(t2,and(t3,not(t6))))) != or(t2,and(t3,not(t6)))
| or(or(t2,and(t3,not(t6))),xor(t4,or(t6,not(t3)))) = or(t2,and(t3,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t2,and(t3,not(t6))),and(t3,or(t2,and(t3,not(t6))))),or(t2,and(t3,not(t6)))) ),[0,1],$fot(xor(t4,or(t6,not(t3))))]]) ).
cnf(refute_0_20936,plain,
( or(or(t2,and(t3,not(t6))),and(t3,or(t2,and(t3,not(t6))))) != or(t2,and(t3,not(t6)))
| or(or(t2,and(t3,not(t6))),xor(t4,or(t6,not(t3)))) = or(t2,and(t3,not(t6))) ),
inference(resolve,[$cnf( $equal(and(t3,or(t2,and(t3,not(t6)))),xor(t4,or(t6,not(t3)))) )],[refute_0_20934,refute_0_20935]) ).
cnf(refute_0_20937,plain,
or(or(t2,and(t3,not(t6))),xor(t4,or(t6,not(t3)))) = or(t2,and(t3,not(t6))),
inference(resolve,[$cnf( $equal(or(or(t2,and(t3,not(t6))),and(t3,or(t2,and(t3,not(t6))))),or(t2,and(t3,not(t6)))) )],[refute_0_20912,refute_0_20936]) ).
cnf(refute_0_20938,plain,
or(or(t2,and(t3,not(t6))),xor(t4,or(t6,not(t3)))) = or(t2,or(and(t3,not(t6)),xor(t4,or(t6,not(t3))))),
inference(subst,[],[or_associative:[bind(X,$fot(t2)),bind(Y,$fot(and(t3,not(t6)))),bind(Z,$fot(xor(t4,or(t6,not(t3)))))]]) ).
cnf(refute_0_20939,plain,
( or(or(t2,and(t3,not(t6))),xor(t4,or(t6,not(t3)))) != or(t2,and(t3,not(t6)))
| or(or(t2,and(t3,not(t6))),xor(t4,or(t6,not(t3)))) != or(t2,or(and(t3,not(t6)),xor(t4,or(t6,not(t3)))))
| or(t2,or(and(t3,not(t6)),xor(t4,or(t6,not(t3))))) = or(t2,and(t3,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t2,and(t3,not(t6))),xor(t4,or(t6,not(t3)))),or(t2,and(t3,not(t6)))) ),[0],$fot(or(t2,or(and(t3,not(t6)),xor(t4,or(t6,not(t3))))))]]) ).
cnf(refute_0_20940,plain,
( or(or(t2,and(t3,not(t6))),xor(t4,or(t6,not(t3)))) != or(t2,and(t3,not(t6)))
| or(t2,or(and(t3,not(t6)),xor(t4,or(t6,not(t3))))) = or(t2,and(t3,not(t6))) ),
inference(resolve,[$cnf( $equal(or(or(t2,and(t3,not(t6))),xor(t4,or(t6,not(t3)))),or(t2,or(and(t3,not(t6)),xor(t4,or(t6,not(t3)))))) )],[refute_0_20938,refute_0_20939]) ).
cnf(refute_0_20941,plain,
or(t2,or(and(t3,not(t6)),xor(t4,or(t6,not(t3))))) = or(t2,and(t3,not(t6))),
inference(resolve,[$cnf( $equal(or(or(t2,and(t3,not(t6))),xor(t4,or(t6,not(t3)))),or(t2,and(t3,not(t6)))) )],[refute_0_20937,refute_0_20940]) ).
cnf(refute_0_20942,plain,
and(t6,or(t6,not(t3))) = t6,
inference(subst,[],[and_absorption:[bind(X,$fot(t6)),bind(Y,$fot(not(t3)))]]) ).
cnf(refute_0_20943,plain,
not(and(t6,or(t6,not(t3)))) = not(and(t6,or(t6,not(t3)))),
introduced(tautology,[refl,[$fot(not(and(t6,or(t6,not(t3)))))]]) ).
cnf(refute_0_20944,plain,
( and(t6,or(t6,not(t3))) != t6
| not(and(t6,or(t6,not(t3)))) != not(and(t6,or(t6,not(t3))))
| not(and(t6,or(t6,not(t3)))) = not(t6) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(t6,or(t6,not(t3)))),not(and(t6,or(t6,not(t3))))) ),[1,0],$fot(t6)]]) ).
cnf(refute_0_20945,plain,
( and(t6,or(t6,not(t3))) != t6
| not(and(t6,or(t6,not(t3)))) = not(t6) ),
inference(resolve,[$cnf( $equal(not(and(t6,or(t6,not(t3)))),not(and(t6,or(t6,not(t3))))) )],[refute_0_20943,refute_0_20944]) ).
cnf(refute_0_20946,plain,
not(and(t6,or(t6,not(t3)))) = not(t6),
inference(resolve,[$cnf( $equal(and(t6,or(t6,not(t3))),t6) )],[refute_0_20942,refute_0_20945]) ).
cnf(refute_0_20947,plain,
not(and(t6,or(not(t3),t6))) = not(and(t6,or(t6,not(t3)))),
inference(subst,[],[refute_0_15045:[bind(X_752,$fot(t6)),bind(X_753,$fot(not(t3))),bind(X_754,$fot(t6))]]) ).
cnf(refute_0_20948,plain,
or(not(t6),and(t3,not(t6))) = not(and(t6,or(not(t3),t6))),
inference(subst,[],[refute_0_15052:[bind(X,$fot(t3)),bind(X_26,$fot(t6)),bind(X_31,$fot(t6))]]) ).
cnf(refute_0_20949,plain,
( not(and(t6,or(not(t3),t6))) != not(and(t6,or(t6,not(t3))))
| or(not(t6),and(t3,not(t6))) != not(and(t6,or(not(t3),t6)))
| or(not(t6),and(t3,not(t6))) = not(and(t6,or(t6,not(t3)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t6),and(t3,not(t6))))),bind(Y0,$fot(not(and(t6,or(not(t3),t6))))),bind(Z0,$fot(not(and(t6,or(t6,not(t3))))))]]) ).
cnf(refute_0_20950,plain,
( not(and(t6,or(not(t3),t6))) != not(and(t6,or(t6,not(t3))))
| or(not(t6),and(t3,not(t6))) = not(and(t6,or(t6,not(t3)))) ),
inference(resolve,[$cnf( $equal(or(not(t6),and(t3,not(t6))),not(and(t6,or(not(t3),t6)))) )],[refute_0_20948,refute_0_20949]) ).
cnf(refute_0_20951,plain,
or(not(t6),and(t3,not(t6))) = not(and(t6,or(t6,not(t3)))),
inference(resolve,[$cnf( $equal(not(and(t6,or(not(t3),t6))),not(and(t6,or(t6,not(t3))))) )],[refute_0_20947,refute_0_20950]) ).
cnf(refute_0_20952,plain,
( not(and(t6,or(t6,not(t3)))) != not(t6)
| or(not(t6),and(t3,not(t6))) != not(and(t6,or(t6,not(t3))))
| or(not(t6),and(t3,not(t6))) = not(t6) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t6),and(t3,not(t6))))),bind(Y0,$fot(not(and(t6,or(t6,not(t3)))))),bind(Z0,$fot(not(t6)))]]) ).
cnf(refute_0_20953,plain,
( not(and(t6,or(t6,not(t3)))) != not(t6)
| or(not(t6),and(t3,not(t6))) = not(t6) ),
inference(resolve,[$cnf( $equal(or(not(t6),and(t3,not(t6))),not(and(t6,or(t6,not(t3))))) )],[refute_0_20951,refute_0_20952]) ).
cnf(refute_0_20954,plain,
or(not(t6),and(t3,not(t6))) = not(t6),
inference(resolve,[$cnf( $equal(not(and(t6,or(t6,not(t3)))),not(t6)) )],[refute_0_20946,refute_0_20953]) ).
cnf(refute_0_20955,plain,
or(t2,or(not(t6),and(t3,not(t6)))) = or(t2,or(not(t6),and(t3,not(t6)))),
introduced(tautology,[refl,[$fot(or(t2,or(not(t6),and(t3,not(t6)))))]]) ).
cnf(refute_0_20956,plain,
( or(not(t6),and(t3,not(t6))) != not(t6)
| or(t2,or(not(t6),and(t3,not(t6)))) != or(t2,or(not(t6),and(t3,not(t6))))
| or(t2,or(not(t6),and(t3,not(t6)))) = or(t2,not(t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,or(not(t6),and(t3,not(t6)))),or(t2,or(not(t6),and(t3,not(t6))))) ),[1,1],$fot(not(t6))]]) ).
cnf(refute_0_20957,plain,
( or(not(t6),and(t3,not(t6))) != not(t6)
| or(t2,or(not(t6),and(t3,not(t6)))) = or(t2,not(t6)) ),
inference(resolve,[$cnf( $equal(or(t2,or(not(t6),and(t3,not(t6)))),or(t2,or(not(t6),and(t3,not(t6))))) )],[refute_0_20955,refute_0_20956]) ).
cnf(refute_0_20958,plain,
or(t2,or(not(t6),and(t3,not(t6)))) = or(t2,not(t6)),
inference(resolve,[$cnf( $equal(or(not(t6),and(t3,not(t6))),not(t6)) )],[refute_0_20954,refute_0_20957]) ).
cnf(refute_0_20959,plain,
or(not(t6),or(t2,and(t3,not(t6)))) = or(t2,or(not(t6),and(t3,not(t6)))),
inference(subst,[],[refute_0_267:[bind(X_37,$fot(not(t6))),bind(X_38,$fot(t2)),bind(X_39,$fot(and(t3,not(t6))))]]) ).
cnf(refute_0_20960,plain,
( or(not(t6),or(t2,and(t3,not(t6)))) != or(t2,or(not(t6),and(t3,not(t6))))
| or(t2,or(not(t6),and(t3,not(t6)))) != or(t2,not(t6))
| or(not(t6),or(t2,and(t3,not(t6)))) = or(t2,not(t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t6),or(t2,and(t3,not(t6)))))),bind(Y0,$fot(or(t2,or(not(t6),and(t3,not(t6)))))),bind(Z0,$fot(or(t2,not(t6))))]]) ).
cnf(refute_0_20961,plain,
( or(t2,or(not(t6),and(t3,not(t6)))) != or(t2,not(t6))
| or(not(t6),or(t2,and(t3,not(t6)))) = or(t2,not(t6)) ),
inference(resolve,[$cnf( $equal(or(not(t6),or(t2,and(t3,not(t6)))),or(t2,or(not(t6),and(t3,not(t6))))) )],[refute_0_20959,refute_0_20960]) ).
cnf(refute_0_20962,plain,
or(not(t6),or(t2,and(t3,not(t6)))) = or(t2,not(t6)),
inference(resolve,[$cnf( $equal(or(t2,or(not(t6),and(t3,not(t6)))),or(t2,not(t6))) )],[refute_0_20958,refute_0_20961]) ).
cnf(refute_0_20963,plain,
and(t3,or(not(t6),or(t2,and(t3,not(t6))))) = and(t3,or(not(t6),or(t2,and(t3,not(t6))))),
introduced(tautology,[refl,[$fot(and(t3,or(not(t6),or(t2,and(t3,not(t6))))))]]) ).
cnf(refute_0_20964,plain,
( and(t3,or(not(t6),or(t2,and(t3,not(t6))))) != and(t3,or(not(t6),or(t2,and(t3,not(t6)))))
| or(not(t6),or(t2,and(t3,not(t6)))) != or(t2,not(t6))
| and(t3,or(not(t6),or(t2,and(t3,not(t6))))) = and(t3,or(t2,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,or(not(t6),or(t2,and(t3,not(t6))))),and(t3,or(not(t6),or(t2,and(t3,not(t6)))))) ),[1,1],$fot(or(t2,not(t6)))]]) ).
cnf(refute_0_20965,plain,
( or(not(t6),or(t2,and(t3,not(t6)))) != or(t2,not(t6))
| and(t3,or(not(t6),or(t2,and(t3,not(t6))))) = and(t3,or(t2,not(t6))) ),
inference(resolve,[$cnf( $equal(and(t3,or(not(t6),or(t2,and(t3,not(t6))))),and(t3,or(not(t6),or(t2,and(t3,not(t6)))))) )],[refute_0_20963,refute_0_20964]) ).
cnf(refute_0_20966,plain,
and(t3,or(not(t6),or(t2,and(t3,not(t6))))) = and(t3,or(t2,not(t6))),
inference(resolve,[$cnf( $equal(or(not(t6),or(t2,and(t3,not(t6)))),or(t2,not(t6))) )],[refute_0_20962,refute_0_20965]) ).
cnf(refute_0_20967,plain,
and(t3,or(X_753,or(t2,and(t3,not(t6))))) = or(and(t3,X_753),and(t3,or(t2,and(t3,not(t6))))),
inference(subst,[],[or_distributive:[bind(X,$fot(t3)),bind(Y,$fot(X_753)),bind(Z,$fot(or(t2,and(t3,not(t6)))))]]) ).
cnf(refute_0_20968,plain,
( and(t3,or(X_753,or(t2,and(t3,not(t6))))) != or(and(t3,X_753),and(t3,or(t2,and(t3,not(t6)))))
| and(t3,or(t2,and(t3,not(t6)))) != xor(t4,or(t6,not(t3)))
| and(t3,or(X_753,or(t2,and(t3,not(t6))))) = or(and(t3,X_753),xor(t4,or(t6,not(t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,or(X_753,or(t2,and(t3,not(t6))))),or(and(t3,X_753),and(t3,or(t2,and(t3,not(t6)))))) ),[1,1],$fot(xor(t4,or(t6,not(t3))))]]) ).
cnf(refute_0_20969,plain,
( and(t3,or(X_753,or(t2,and(t3,not(t6))))) != or(and(t3,X_753),and(t3,or(t2,and(t3,not(t6)))))
| and(t3,or(X_753,or(t2,and(t3,not(t6))))) = or(and(t3,X_753),xor(t4,or(t6,not(t3)))) ),
inference(resolve,[$cnf( $equal(and(t3,or(t2,and(t3,not(t6)))),xor(t4,or(t6,not(t3)))) )],[refute_0_20934,refute_0_20968]) ).
cnf(refute_0_20970,plain,
and(t3,or(X_753,or(t2,and(t3,not(t6))))) = or(and(t3,X_753),xor(t4,or(t6,not(t3)))),
inference(resolve,[$cnf( $equal(and(t3,or(X_753,or(t2,and(t3,not(t6))))),or(and(t3,X_753),and(t3,or(t2,and(t3,not(t6)))))) )],[refute_0_20967,refute_0_20969]) ).
cnf(refute_0_20971,plain,
( and(t3,or(X_753,or(t2,and(t3,not(t6))))) != or(and(t3,X_753),xor(t4,or(t6,not(t3))))
| or(and(t3,X_753),xor(t4,or(t6,not(t3)))) = and(t3,or(X_753,or(t2,and(t3,not(t6))))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t3,or(X_753,or(t2,and(t3,not(t6))))))),bind(Y0,$fot(or(and(t3,X_753),xor(t4,or(t6,not(t3))))))]]) ).
cnf(refute_0_20972,plain,
or(and(t3,X_753),xor(t4,or(t6,not(t3)))) = and(t3,or(X_753,or(t2,and(t3,not(t6))))),
inference(resolve,[$cnf( $equal(and(t3,or(X_753,or(t2,and(t3,not(t6))))),or(and(t3,X_753),xor(t4,or(t6,not(t3))))) )],[refute_0_20970,refute_0_20971]) ).
cnf(refute_0_20973,plain,
or(and(t3,not(t6)),xor(t4,or(t6,not(t3)))) = and(t3,or(not(t6),or(t2,and(t3,not(t6))))),
inference(subst,[],[refute_0_20972:[bind(X_753,$fot(not(t6)))]]) ).
cnf(refute_0_20974,plain,
( and(t3,or(not(t6),or(t2,and(t3,not(t6))))) != and(t3,or(t2,not(t6)))
| or(and(t3,not(t6)),xor(t4,or(t6,not(t3)))) != and(t3,or(not(t6),or(t2,and(t3,not(t6)))))
| or(and(t3,not(t6)),xor(t4,or(t6,not(t3)))) = and(t3,or(t2,not(t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(t3,not(t6)),xor(t4,or(t6,not(t3)))))),bind(Y0,$fot(and(t3,or(not(t6),or(t2,and(t3,not(t6))))))),bind(Z0,$fot(and(t3,or(t2,not(t6)))))]]) ).
cnf(refute_0_20975,plain,
( and(t3,or(not(t6),or(t2,and(t3,not(t6))))) != and(t3,or(t2,not(t6)))
| or(and(t3,not(t6)),xor(t4,or(t6,not(t3)))) = and(t3,or(t2,not(t6))) ),
inference(resolve,[$cnf( $equal(or(and(t3,not(t6)),xor(t4,or(t6,not(t3)))),and(t3,or(not(t6),or(t2,and(t3,not(t6)))))) )],[refute_0_20973,refute_0_20974]) ).
cnf(refute_0_20976,plain,
or(and(t3,not(t6)),xor(t4,or(t6,not(t3)))) = and(t3,or(t2,not(t6))),
inference(resolve,[$cnf( $equal(and(t3,or(not(t6),or(t2,and(t3,not(t6))))),and(t3,or(t2,not(t6)))) )],[refute_0_20966,refute_0_20975]) ).
cnf(refute_0_20977,plain,
or(t2,or(and(t3,not(t6)),xor(t4,or(t6,not(t3))))) = or(t2,or(and(t3,not(t6)),xor(t4,or(t6,not(t3))))),
introduced(tautology,[refl,[$fot(or(t2,or(and(t3,not(t6)),xor(t4,or(t6,not(t3))))))]]) ).
cnf(refute_0_20978,plain,
( or(and(t3,not(t6)),xor(t4,or(t6,not(t3)))) != and(t3,or(t2,not(t6)))
| or(t2,or(and(t3,not(t6)),xor(t4,or(t6,not(t3))))) != or(t2,or(and(t3,not(t6)),xor(t4,or(t6,not(t3)))))
| or(t2,or(and(t3,not(t6)),xor(t4,or(t6,not(t3))))) = or(t2,and(t3,or(t2,not(t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,or(and(t3,not(t6)),xor(t4,or(t6,not(t3))))),or(t2,or(and(t3,not(t6)),xor(t4,or(t6,not(t3)))))) ),[1,1],$fot(and(t3,or(t2,not(t6))))]]) ).
cnf(refute_0_20979,plain,
( or(and(t3,not(t6)),xor(t4,or(t6,not(t3)))) != and(t3,or(t2,not(t6)))
| or(t2,or(and(t3,not(t6)),xor(t4,or(t6,not(t3))))) = or(t2,and(t3,or(t2,not(t6)))) ),
inference(resolve,[$cnf( $equal(or(t2,or(and(t3,not(t6)),xor(t4,or(t6,not(t3))))),or(t2,or(and(t3,not(t6)),xor(t4,or(t6,not(t3)))))) )],[refute_0_20977,refute_0_20978]) ).
cnf(refute_0_20980,plain,
or(t2,or(and(t3,not(t6)),xor(t4,or(t6,not(t3))))) = or(t2,and(t3,or(t2,not(t6)))),
inference(resolve,[$cnf( $equal(or(and(t3,not(t6)),xor(t4,or(t6,not(t3)))),and(t3,or(t2,not(t6)))) )],[refute_0_20976,refute_0_20979]) ).
cnf(refute_0_20981,plain,
( or(t2,or(and(t3,not(t6)),xor(t4,or(t6,not(t3))))) != or(t2,and(t3,not(t6)))
| or(t2,or(and(t3,not(t6)),xor(t4,or(t6,not(t3))))) != or(t2,and(t3,or(t2,not(t6))))
| or(t2,and(t3,or(t2,not(t6)))) = or(t2,and(t3,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,or(and(t3,not(t6)),xor(t4,or(t6,not(t3))))),or(t2,and(t3,not(t6)))) ),[0],$fot(or(t2,and(t3,or(t2,not(t6)))))]]) ).
cnf(refute_0_20982,plain,
( or(t2,or(and(t3,not(t6)),xor(t4,or(t6,not(t3))))) != or(t2,and(t3,not(t6)))
| or(t2,and(t3,or(t2,not(t6)))) = or(t2,and(t3,not(t6))) ),
inference(resolve,[$cnf( $equal(or(t2,or(and(t3,not(t6)),xor(t4,or(t6,not(t3))))),or(t2,and(t3,or(t2,not(t6))))) )],[refute_0_20980,refute_0_20981]) ).
cnf(refute_0_20983,plain,
or(t2,and(t3,or(t2,not(t6)))) = or(t2,and(t3,not(t6))),
inference(resolve,[$cnf( $equal(or(t2,or(and(t3,not(t6)),xor(t4,or(t6,not(t3))))),or(t2,and(t3,not(t6)))) )],[refute_0_20941,refute_0_20982]) ).
cnf(refute_0_20984,plain,
( or(t2,and(t3,not(t6))) != xor(t4,and(t3,t6))
| or(t2,and(t3,or(t2,not(t6)))) != or(t2,and(t3,not(t6)))
| or(t2,and(t3,or(t2,not(t6)))) = xor(t4,and(t3,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,and(t3,or(t2,not(t6)))),or(t2,and(t3,not(t6)))) ),[1],$fot(xor(t4,and(t3,t6)))]]) ).
cnf(refute_0_20985,plain,
( or(t2,and(t3,or(t2,not(t6)))) != or(t2,and(t3,not(t6)))
| or(t2,and(t3,or(t2,not(t6)))) = xor(t4,and(t3,t6)) ),
inference(resolve,[$cnf( $equal(or(t2,and(t3,not(t6))),xor(t4,and(t3,t6))) )],[refute_0_20466,refute_0_20984]) ).
cnf(refute_0_20986,plain,
or(t2,and(t3,or(t2,not(t6)))) = xor(t4,and(t3,t6)),
inference(resolve,[$cnf( $equal(or(t2,and(t3,or(t2,not(t6)))),or(t2,and(t3,not(t6)))) )],[refute_0_20983,refute_0_20985]) ).
cnf(refute_0_20987,plain,
or(t2,or(t2,not(t6))) = or(t2,not(t6)),
inference(subst,[],[refute_0_9830:[bind(X_38,$fot(t2)),bind(X_39,$fot(not(t6)))]]) ).
cnf(refute_0_20988,plain,
or(t2,and(t3,X_820)) = and(or(t2,t3),or(t2,X_820)),
inference(subst,[],[and_distributive:[bind(X,$fot(t2)),bind(Y,$fot(t3)),bind(Z,$fot(X_820))]]) ).
cnf(refute_0_20989,plain,
ll1 = or(t3,or(t2,not(a))),
inference(subst,[],[refute_0_11012:[bind(X_40,$fot(t2))]]) ).
cnf(refute_0_20990,plain,
( ll1 != or(t3,or(t2,not(a)))
| or(t2,not(a)) != t2
| ll1 = or(t3,t2) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t3,or(t2,not(a)))) ),[1,1],$fot(t2)]]) ).
cnf(refute_0_20991,plain,
( ll1 != or(t3,or(t2,not(a)))
| ll1 = or(t3,t2) ),
inference(resolve,[$cnf( $equal(or(t2,not(a)),t2) )],[refute_0_2937,refute_0_20990]) ).
cnf(refute_0_20992,plain,
ll1 = or(t3,t2),
inference(resolve,[$cnf( $equal(ll1,or(t3,or(t2,not(a)))) )],[refute_0_20989,refute_0_20991]) ).
cnf(refute_0_20993,plain,
or(t3,t2) = or(t2,t3),
inference(subst,[],[refute_0_5:[bind(X,$fot(t2)),bind(Y,$fot(t3))]]) ).
cnf(refute_0_20994,plain,
( ll1 != or(t3,t2)
| or(t3,t2) != or(t2,t3)
| ll1 = or(t2,t3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll1,or(t2,t3)) ),[0],$fot(or(t3,t2))]]) ).
cnf(refute_0_20995,plain,
( ll1 != or(t3,t2)
| ll1 = or(t2,t3) ),
inference(resolve,[$cnf( $equal(or(t3,t2),or(t2,t3)) )],[refute_0_20993,refute_0_20994]) ).
cnf(refute_0_20996,plain,
ll1 = or(t2,t3),
inference(resolve,[$cnf( $equal(ll1,or(t3,t2)) )],[refute_0_20992,refute_0_20995]) ).
cnf(refute_0_20997,plain,
( ll1 != or(t2,t3)
| or(t2,t3) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(t2,t3)))]]) ).
cnf(refute_0_20998,plain,
or(t2,t3) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(t2,t3)) )],[refute_0_20996,refute_0_20997]) ).
cnf(refute_0_20999,plain,
( or(t2,and(t3,X_820)) != and(or(t2,t3),or(t2,X_820))
| or(t2,t3) != ll1
| or(t2,and(t3,X_820)) = and(ll1,or(t2,X_820)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,and(t3,X_820)),and(or(t2,t3),or(t2,X_820))) ),[1,0],$fot(ll1)]]) ).
cnf(refute_0_21000,plain,
( or(t2,and(t3,X_820)) != and(or(t2,t3),or(t2,X_820))
| or(t2,and(t3,X_820)) = and(ll1,or(t2,X_820)) ),
inference(resolve,[$cnf( $equal(or(t2,t3),ll1) )],[refute_0_20998,refute_0_20999]) ).
cnf(refute_0_21001,plain,
or(t2,and(t3,X_820)) = and(ll1,or(t2,X_820)),
inference(resolve,[$cnf( $equal(or(t2,and(t3,X_820)),and(or(t2,t3),or(t2,X_820))) )],[refute_0_20988,refute_0_21000]) ).
cnf(refute_0_21002,plain,
and(ll1,or(t2,X_820)) = or(t2,X_820),
inference(subst,[],[refute_0_64:[bind(X,$fot(or(t2,X_820)))]]) ).
cnf(refute_0_21003,plain,
( and(ll1,or(t2,X_820)) != or(t2,X_820)
| or(t2,and(t3,X_820)) != and(ll1,or(t2,X_820))
| or(t2,and(t3,X_820)) = or(t2,X_820) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,and(t3,X_820)),and(ll1,or(t2,X_820))) ),[1],$fot(or(t2,X_820))]]) ).
cnf(refute_0_21004,plain,
( or(t2,and(t3,X_820)) != and(ll1,or(t2,X_820))
| or(t2,and(t3,X_820)) = or(t2,X_820) ),
inference(resolve,[$cnf( $equal(and(ll1,or(t2,X_820)),or(t2,X_820)) )],[refute_0_21002,refute_0_21003]) ).
cnf(refute_0_21005,plain,
or(t2,and(t3,X_820)) = or(t2,X_820),
inference(resolve,[$cnf( $equal(or(t2,and(t3,X_820)),and(ll1,or(t2,X_820))) )],[refute_0_21001,refute_0_21004]) ).
cnf(refute_0_21006,plain,
or(t2,and(t3,or(t2,not(t6)))) = or(t2,or(t2,not(t6))),
inference(subst,[],[refute_0_21005:[bind(X_820,$fot(or(t2,not(t6))))]]) ).
cnf(refute_0_21007,plain,
( or(t2,and(t3,or(t2,not(t6)))) != or(t2,or(t2,not(t6)))
| or(t2,or(t2,not(t6))) != or(t2,not(t6))
| or(t2,and(t3,or(t2,not(t6)))) = or(t2,not(t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t2,and(t3,or(t2,not(t6)))))),bind(Y0,$fot(or(t2,or(t2,not(t6))))),bind(Z0,$fot(or(t2,not(t6))))]]) ).
cnf(refute_0_21008,plain,
( or(t2,or(t2,not(t6))) != or(t2,not(t6))
| or(t2,and(t3,or(t2,not(t6)))) = or(t2,not(t6)) ),
inference(resolve,[$cnf( $equal(or(t2,and(t3,or(t2,not(t6)))),or(t2,or(t2,not(t6)))) )],[refute_0_21006,refute_0_21007]) ).
cnf(refute_0_21009,plain,
or(t2,and(t3,or(t2,not(t6)))) = or(t2,not(t6)),
inference(resolve,[$cnf( $equal(or(t2,or(t2,not(t6))),or(t2,not(t6))) )],[refute_0_20987,refute_0_21008]) ).
cnf(refute_0_21010,plain,
( or(t2,and(t3,or(t2,not(t6)))) != or(t2,not(t6))
| or(t2,and(t3,or(t2,not(t6)))) != xor(t4,and(t3,t6))
| or(t2,not(t6)) = xor(t4,and(t3,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,and(t3,or(t2,not(t6)))),xor(t4,and(t3,t6))) ),[0],$fot(or(t2,not(t6)))]]) ).
cnf(refute_0_21011,plain,
( or(t2,and(t3,or(t2,not(t6)))) != xor(t4,and(t3,t6))
| or(t2,not(t6)) = xor(t4,and(t3,t6)) ),
inference(resolve,[$cnf( $equal(or(t2,and(t3,or(t2,not(t6)))),or(t2,not(t6))) )],[refute_0_21009,refute_0_21010]) ).
cnf(refute_0_21012,plain,
or(t2,not(t6)) = xor(t4,and(t3,t6)),
inference(resolve,[$cnf( $equal(or(t2,and(t3,or(t2,not(t6)))),xor(t4,and(t3,t6))) )],[refute_0_20986,refute_0_21011]) ).
cnf(refute_0_21013,plain,
( or(t2,not(t6)) != xor(t4,and(t3,t6))
| xor(t4,and(t3,t6)) = or(t2,not(t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(t2,not(t6)))),bind(Y0,$fot(xor(t4,and(t3,t6))))]]) ).
cnf(refute_0_21014,plain,
xor(t4,and(t3,t6)) = or(t2,not(t6)),
inference(resolve,[$cnf( $equal(or(t2,not(t6)),xor(t4,and(t3,t6))) )],[refute_0_21012,refute_0_21013]) ).
cnf(refute_0_21015,plain,
and(not(t5),xor(t4,and(t3,t6))) = and(not(t5),xor(t4,and(t3,t6))),
introduced(tautology,[refl,[$fot(and(not(t5),xor(t4,and(t3,t6))))]]) ).
cnf(refute_0_21016,plain,
( and(not(t5),xor(t4,and(t3,t6))) != and(not(t5),xor(t4,and(t3,t6)))
| xor(t4,and(t3,t6)) != or(t2,not(t6))
| and(not(t5),xor(t4,and(t3,t6))) = and(not(t5),or(t2,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),xor(t4,and(t3,t6))),and(not(t5),xor(t4,and(t3,t6)))) ),[1,1],$fot(or(t2,not(t6)))]]) ).
cnf(refute_0_21017,plain,
( xor(t4,and(t3,t6)) != or(t2,not(t6))
| and(not(t5),xor(t4,and(t3,t6))) = and(not(t5),or(t2,not(t6))) ),
inference(resolve,[$cnf( $equal(and(not(t5),xor(t4,and(t3,t6))),and(not(t5),xor(t4,and(t3,t6)))) )],[refute_0_21015,refute_0_21016]) ).
cnf(refute_0_21018,plain,
and(not(t5),xor(t4,and(t3,t6))) = and(not(t5),or(t2,not(t6))),
inference(resolve,[$cnf( $equal(xor(t4,and(t3,t6)),or(t2,not(t6))) )],[refute_0_21014,refute_0_21017]) ).
cnf(refute_0_21019,plain,
( and(not(t5),or(t2,not(t6))) != not(or(a,t5))
| and(not(t5),xor(t4,and(t3,t6))) != and(not(t5),or(t2,not(t6)))
| and(not(t5),xor(t4,and(t3,t6))) = not(or(a,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t5),xor(t4,and(t3,t6))))),bind(Y0,$fot(and(not(t5),or(t2,not(t6))))),bind(Z0,$fot(not(or(a,t5))))]]) ).
cnf(refute_0_21020,plain,
( and(not(t5),or(t2,not(t6))) != not(or(a,t5))
| and(not(t5),xor(t4,and(t3,t6))) = not(or(a,t5)) ),
inference(resolve,[$cnf( $equal(and(not(t5),xor(t4,and(t3,t6))),and(not(t5),or(t2,not(t6)))) )],[refute_0_21018,refute_0_21019]) ).
cnf(refute_0_21021,plain,
and(not(t5),xor(t4,and(t3,t6))) = not(or(a,t5)),
inference(resolve,[$cnf( $equal(and(not(t5),or(t2,not(t6))),not(or(a,t5))) )],[refute_0_20911,refute_0_21020]) ).
cnf(refute_0_21022,plain,
( and(not(t5),xor(t4,and(t3,t6))) != not(or(a,t5))
| not(or(a,xor(carry,or(b,t6)))) != and(not(t5),xor(t4,and(t3,t6)))
| not(or(a,xor(carry,or(b,t6)))) = not(or(a,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(a,xor(carry,or(b,t6)))),and(not(t5),xor(t4,and(t3,t6)))) ),[1],$fot(not(or(a,t5)))]]) ).
cnf(refute_0_21023,plain,
( not(or(a,xor(carry,or(b,t6)))) != and(not(t5),xor(t4,and(t3,t6)))
| not(or(a,xor(carry,or(b,t6)))) = not(or(a,t5)) ),
inference(resolve,[$cnf( $equal(and(not(t5),xor(t4,and(t3,t6))),not(or(a,t5))) )],[refute_0_21021,refute_0_21022]) ).
cnf(refute_0_21024,plain,
not(or(a,xor(carry,or(b,t6)))) = not(or(a,t5)),
inference(resolve,[$cnf( $equal(not(or(a,xor(carry,or(b,t6)))),and(not(t5),xor(t4,and(t3,t6)))) )],[refute_0_20631,refute_0_21023]) ).
cnf(refute_0_21025,plain,
( and(not(a),xor(t5,or(b,t6))) != not(or(a,xor(carry,or(b,t6))))
| not(or(a,xor(carry,or(b,t6)))) != not(or(a,t5))
| and(not(a),xor(t5,or(b,t6))) = not(or(a,t5)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(a),xor(t5,or(b,t6))),not(or(a,t5))) ),[0],$fot(not(or(a,xor(carry,or(b,t6)))))]]) ).
cnf(refute_0_21026,plain,
( and(not(a),xor(t5,or(b,t6))) != not(or(a,xor(carry,or(b,t6))))
| and(not(a),xor(t5,or(b,t6))) = not(or(a,t5)) ),
inference(resolve,[$cnf( $equal(not(or(a,xor(carry,or(b,t6)))),not(or(a,t5))) )],[refute_0_21024,refute_0_21025]) ).
cnf(refute_0_21027,plain,
and(not(a),xor(t5,or(b,t6))) = not(or(a,t5)),
inference(resolve,[$cnf( $equal(and(not(a),xor(t5,or(b,t6))),not(or(a,xor(carry,or(b,t6))))) )],[refute_0_19528,refute_0_21026]) ).
cnf(refute_0_21028,plain,
or(and(t3,not(or(a,t6))),and(not(t3),or(a,t6))) = xor(t3,or(a,t6)),
inference(subst,[],[refute_0_9:[bind(X,$fot(t3)),bind(Y,$fot(or(a,t6)))]]) ).
cnf(refute_0_21029,plain,
ll0 = and(t3,not(or(carry,t3))),
inference(subst,[],[refute_0_18222:[bind(X,$fot(carry))]]) ).
cnf(refute_0_21030,plain,
( ll0 != and(t3,not(or(carry,t3)))
| or(carry,t3) != or(a,t6)
| ll0 = and(t3,not(or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(t3,not(or(carry,t3)))) ),[1,1,0],$fot(or(a,t6))]]) ).
cnf(refute_0_21031,plain,
( ll0 != and(t3,not(or(carry,t3)))
| ll0 = and(t3,not(or(a,t6))) ),
inference(resolve,[$cnf( $equal(or(carry,t3),or(a,t6)) )],[refute_0_14021,refute_0_21030]) ).
cnf(refute_0_21032,plain,
ll0 = and(t3,not(or(a,t6))),
inference(resolve,[$cnf( $equal(ll0,and(t3,not(or(carry,t3)))) )],[refute_0_21029,refute_0_21031]) ).
cnf(refute_0_21033,plain,
( ll0 != and(t3,not(or(a,t6)))
| and(t3,not(or(a,t6))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(t3,not(or(a,t6)))))]]) ).
cnf(refute_0_21034,plain,
and(t3,not(or(a,t6))) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(t3,not(or(a,t6)))) )],[refute_0_21032,refute_0_21033]) ).
cnf(refute_0_21035,plain,
( and(t3,not(or(a,t6))) != ll0
| or(and(t3,not(or(a,t6))),and(not(t3),or(a,t6))) != xor(t3,or(a,t6))
| or(ll0,and(not(t3),or(a,t6))) = xor(t3,or(a,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t3,not(or(a,t6))),and(not(t3),or(a,t6))),xor(t3,or(a,t6))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_21036,plain,
( or(and(t3,not(or(a,t6))),and(not(t3),or(a,t6))) != xor(t3,or(a,t6))
| or(ll0,and(not(t3),or(a,t6))) = xor(t3,or(a,t6)) ),
inference(resolve,[$cnf( $equal(and(t3,not(or(a,t6))),ll0) )],[refute_0_21034,refute_0_21035]) ).
cnf(refute_0_21037,plain,
or(ll0,and(not(t3),or(a,t6))) = xor(t3,or(a,t6)),
inference(resolve,[$cnf( $equal(or(and(t3,not(or(a,t6))),and(not(t3),or(a,t6))),xor(t3,or(a,t6))) )],[refute_0_21028,refute_0_21036]) ).
cnf(refute_0_21038,plain,
or(ll0,and(not(t3),or(a,t6))) = and(not(t3),or(a,t6)),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(t3),or(a,t6))))]]) ).
cnf(refute_0_21039,plain,
( or(ll0,and(not(t3),or(a,t6))) != and(not(t3),or(a,t6))
| or(ll0,and(not(t3),or(a,t6))) != xor(t3,or(a,t6))
| and(not(t3),or(a,t6)) = xor(t3,or(a,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(t3),or(a,t6))),xor(t3,or(a,t6))) ),[0],$fot(and(not(t3),or(a,t6)))]]) ).
cnf(refute_0_21040,plain,
( or(ll0,and(not(t3),or(a,t6))) != xor(t3,or(a,t6))
| and(not(t3),or(a,t6)) = xor(t3,or(a,t6)) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t3),or(a,t6))),and(not(t3),or(a,t6))) )],[refute_0_21038,refute_0_21039]) ).
cnf(refute_0_21041,plain,
and(not(t3),or(a,t6)) = xor(t3,or(a,t6)),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t3),or(a,t6))),xor(t3,or(a,t6))) )],[refute_0_21037,refute_0_21040]) ).
cnf(refute_0_21042,plain,
and(and(t4,not(a)),Z) = and(t4,and(not(a),Z)),
inference(subst,[],[and_associative:[bind(X,$fot(t4)),bind(Y,$fot(not(a)))]]) ).
cnf(refute_0_21043,plain,
( and(and(t4,not(a)),Z) != and(t4,and(not(a),Z))
| and(t4,not(a)) != not(t3)
| and(not(t3),Z) = and(t4,and(not(a),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t4,not(a)),Z),and(t4,and(not(a),Z))) ),[0,0],$fot(not(t3))]]) ).
cnf(refute_0_21044,plain,
( and(and(t4,not(a)),Z) != and(t4,and(not(a),Z))
| and(not(t3),Z) = and(t4,and(not(a),Z)) ),
inference(resolve,[$cnf( $equal(and(t4,not(a)),not(t3)) )],[refute_0_13491,refute_0_21043]) ).
cnf(refute_0_21045,plain,
and(not(t3),Z) = and(t4,and(not(a),Z)),
inference(resolve,[$cnf( $equal(and(and(t4,not(a)),Z),and(t4,and(not(a),Z))) )],[refute_0_21042,refute_0_21044]) ).
cnf(refute_0_21046,plain,
( and(not(t3),Z) != and(t4,and(not(a),Z))
| and(t4,and(not(a),Z)) = and(not(t3),Z) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t3),Z))),bind(Y0,$fot(and(t4,and(not(a),Z))))]]) ).
cnf(refute_0_21047,plain,
and(t4,and(not(a),Z)) = and(not(t3),Z),
inference(resolve,[$cnf( $equal(and(not(t3),Z),and(t4,and(not(a),Z))) )],[refute_0_21045,refute_0_21046]) ).
cnf(refute_0_21048,plain,
and(t4,and(not(a),or(a,t6))) = and(not(t3),or(a,t6)),
inference(subst,[],[refute_0_21047:[bind(Z,$fot(or(a,t6)))]]) ).
cnf(refute_0_21049,plain,
( and(not(t3),or(a,t6)) != xor(t3,or(a,t6))
| and(t4,and(not(a),or(a,t6))) != and(not(t3),or(a,t6))
| and(t4,and(not(a),or(a,t6))) = xor(t3,or(a,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t4,and(not(a),or(a,t6))))),bind(Y0,$fot(and(not(t3),or(a,t6)))),bind(Z0,$fot(xor(t3,or(a,t6))))]]) ).
cnf(refute_0_21050,plain,
( and(not(t3),or(a,t6)) != xor(t3,or(a,t6))
| and(t4,and(not(a),or(a,t6))) = xor(t3,or(a,t6)) ),
inference(resolve,[$cnf( $equal(and(t4,and(not(a),or(a,t6))),and(not(t3),or(a,t6))) )],[refute_0_21048,refute_0_21049]) ).
cnf(refute_0_21051,plain,
and(t4,and(not(a),or(a,t6))) = xor(t3,or(a,t6)),
inference(resolve,[$cnf( $equal(and(not(t3),or(a,t6)),xor(t3,or(a,t6))) )],[refute_0_21041,refute_0_21050]) ).
cnf(refute_0_21052,plain,
and(not(a),and(t4,or(a,t6))) = and(t4,and(not(a),or(a,t6))),
inference(subst,[],[refute_0_4220:[bind(X,$fot(t4)),bind(Z,$fot(or(a,t6))),bind(X_669,$fot(not(a)))]]) ).
cnf(refute_0_21053,plain,
( and(not(a),and(t4,or(a,t6))) != and(t4,and(not(a),or(a,t6)))
| and(t4,and(not(a),or(a,t6))) != xor(t3,or(a,t6))
| and(not(a),and(t4,or(a,t6))) = xor(t3,or(a,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(a),and(t4,or(a,t6))))),bind(Y0,$fot(and(t4,and(not(a),or(a,t6))))),bind(Z0,$fot(xor(t3,or(a,t6))))]]) ).
cnf(refute_0_21054,plain,
( and(t4,and(not(a),or(a,t6))) != xor(t3,or(a,t6))
| and(not(a),and(t4,or(a,t6))) = xor(t3,or(a,t6)) ),
inference(resolve,[$cnf( $equal(and(not(a),and(t4,or(a,t6))),and(t4,and(not(a),or(a,t6)))) )],[refute_0_21052,refute_0_21053]) ).
cnf(refute_0_21055,plain,
and(not(a),and(t4,or(a,t6))) = xor(t3,or(a,t6)),
inference(resolve,[$cnf( $equal(and(t4,and(not(a),or(a,t6))),xor(t3,or(a,t6))) )],[refute_0_21051,refute_0_21054]) ).
cnf(refute_0_21056,plain,
or(and(t4,not(xor(t6,or(carry,t2)))),and(not(t4),xor(t6,or(carry,t2)))) = xor(t4,xor(t6,or(carry,t2))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t4)),bind(Y,$fot(xor(t6,or(carry,t2))))]]) ).
cnf(refute_0_21057,plain,
and(not(t4),xor(t6,or(carry,t2))) = and(t5,and(t6,xor(t6,or(carry,t2)))),
inference(subst,[],[refute_0_5450:[bind(Z,$fot(xor(t6,or(carry,t2))))]]) ).
cnf(refute_0_21058,plain,
ll0 = and(t6,and(not(t6),or(carry,t2))),
inference(subst,[],[refute_0_5426:[bind(X_220,$fot(t6)),bind(X_222,$fot(or(carry,t2)))]]) ).
cnf(refute_0_21059,plain,
or(and(or(cin,t6),not(or(cin,t2))),and(not(or(cin,t6)),or(cin,t2))) = xor(or(cin,t6),or(cin,t2)),
inference(subst,[],[refute_0_9:[bind(X,$fot(or(cin,t6))),bind(Y,$fot(or(cin,t2)))]]) ).
cnf(refute_0_21060,plain,
and(or(cin,or(t2,not(or(cin,t6)))),not(or(or(t2,not(or(cin,t6))),cin))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(or(t2,not(or(cin,t6))))),bind(X_28,$fot(cin))]]) ).
cnf(refute_0_21061,plain,
or(t2,or(X_148,not(or(X_148,not(t4))))) = or(t2,or(not(t4),or(X_148,not(or(X_148,not(t4)))))),
inference(subst,[],[refute_0_17500:[bind(X_39,$fot(or(X_148,not(or(X_148,not(t4))))))]]) ).
cnf(refute_0_21062,plain,
( or(not(t4),or(X_148,not(or(X_148,not(t4))))) != ll1
| or(t2,or(X_148,not(or(X_148,not(t4))))) != or(t2,or(not(t4),or(X_148,not(or(X_148,not(t4))))))
| or(t2,or(X_148,not(or(X_148,not(t4))))) = or(t2,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,or(X_148,not(or(X_148,not(t4))))),or(t2,or(not(t4),or(X_148,not(or(X_148,not(t4))))))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_21063,plain,
( or(t2,or(X_148,not(or(X_148,not(t4))))) != or(t2,or(not(t4),or(X_148,not(or(X_148,not(t4))))))
| or(t2,or(X_148,not(or(X_148,not(t4))))) = or(t2,ll1) ),
inference(resolve,[$cnf( $equal(or(not(t4),or(X_148,not(or(X_148,not(t4))))),ll1) )],[refute_0_17833,refute_0_21062]) ).
cnf(refute_0_21064,plain,
or(t2,or(X_148,not(or(X_148,not(t4))))) = or(t2,ll1),
inference(resolve,[$cnf( $equal(or(t2,or(X_148,not(or(X_148,not(t4))))),or(t2,or(not(t4),or(X_148,not(or(X_148,not(t4))))))) )],[refute_0_21061,refute_0_21063]) ).
cnf(refute_0_21065,plain,
or(t2,or(X_148,not(or(X_148,not(t4))))) = or(t2,or(X_148,not(or(X_148,not(t4))))),
introduced(tautology,[refl,[$fot(or(t2,or(X_148,not(or(X_148,not(t4))))))]]) ).
cnf(refute_0_21066,plain,
( or(X_148,not(or(X_148,not(t4)))) != or(X_148,and(t4,not(X_148)))
| or(t2,or(X_148,not(or(X_148,not(t4))))) != or(t2,or(X_148,not(or(X_148,not(t4)))))
| or(t2,or(X_148,not(or(X_148,not(t4))))) = or(t2,or(X_148,and(t4,not(X_148)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,or(X_148,not(or(X_148,not(t4))))),or(t2,or(X_148,not(or(X_148,not(t4)))))) ),[1,1],$fot(or(X_148,and(t4,not(X_148))))]]) ).
cnf(refute_0_21067,plain,
( or(X_148,not(or(X_148,not(t4)))) != or(X_148,and(t4,not(X_148)))
| or(t2,or(X_148,not(or(X_148,not(t4))))) = or(t2,or(X_148,and(t4,not(X_148)))) ),
inference(resolve,[$cnf( $equal(or(t2,or(X_148,not(or(X_148,not(t4))))),or(t2,or(X_148,not(or(X_148,not(t4)))))) )],[refute_0_21065,refute_0_21066]) ).
cnf(refute_0_21068,plain,
or(t2,or(X_148,not(or(X_148,not(t4))))) = or(t2,or(X_148,and(t4,not(X_148)))),
inference(resolve,[$cnf( $equal(or(X_148,not(or(X_148,not(t4)))),or(X_148,and(t4,not(X_148)))) )],[refute_0_17845,refute_0_21067]) ).
cnf(refute_0_21069,plain,
( or(t2,or(X_148,not(or(X_148,not(t4))))) != or(t2,ll1)
| or(t2,or(X_148,not(or(X_148,not(t4))))) != or(t2,or(X_148,and(t4,not(X_148))))
| or(t2,or(X_148,and(t4,not(X_148)))) = or(t2,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,or(X_148,not(or(X_148,not(t4))))),or(t2,ll1)) ),[0],$fot(or(t2,or(X_148,and(t4,not(X_148)))))]]) ).
cnf(refute_0_21070,plain,
( or(t2,or(X_148,not(or(X_148,not(t4))))) != or(t2,ll1)
| or(t2,or(X_148,and(t4,not(X_148)))) = or(t2,ll1) ),
inference(resolve,[$cnf( $equal(or(t2,or(X_148,not(or(X_148,not(t4))))),or(t2,or(X_148,and(t4,not(X_148))))) )],[refute_0_21068,refute_0_21069]) ).
cnf(refute_0_21071,plain,
( or(t2,ll1) != ll1
| or(t2,or(X_148,and(t4,not(X_148)))) != or(t2,ll1)
| or(t2,or(X_148,and(t4,not(X_148)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,or(X_148,and(t4,not(X_148)))),or(t2,ll1)) ),[1],$fot(ll1)]]) ).
cnf(refute_0_21072,plain,
( or(t2,or(X_148,and(t4,not(X_148)))) != or(t2,ll1)
| or(t2,or(X_148,and(t4,not(X_148)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t2,ll1),ll1) )],[refute_0_18971,refute_0_21071]) ).
cnf(refute_0_21073,plain,
( or(t2,or(X_148,not(or(X_148,not(t4))))) != or(t2,ll1)
| or(t2,or(X_148,and(t4,not(X_148)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t2,or(X_148,and(t4,not(X_148)))),or(t2,ll1)) )],[refute_0_21070,refute_0_21072]) ).
cnf(refute_0_21074,plain,
or(t2,or(X_148,and(t4,not(X_148)))) = ll1,
inference(resolve,[$cnf( $equal(or(t2,or(X_148,not(or(X_148,not(t4))))),or(t2,ll1)) )],[refute_0_21064,refute_0_21073]) ).
cnf(refute_0_21075,plain,
or(t2,or(cin,and(t4,not(cin)))) = ll1,
inference(subst,[],[refute_0_21074:[bind(X_148,$fot(cin))]]) ).
cnf(refute_0_21076,plain,
( and(t4,not(cin)) != not(or(cin,t6))
| or(t2,or(cin,and(t4,not(cin)))) != ll1
| or(t2,or(cin,not(or(cin,t6)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,or(cin,and(t4,not(cin)))),ll1) ),[0,1,1],$fot(not(or(cin,t6)))]]) ).
cnf(refute_0_21077,plain,
( or(t2,or(cin,and(t4,not(cin)))) != ll1
| or(t2,or(cin,not(or(cin,t6)))) = ll1 ),
inference(resolve,[$cnf( $equal(and(t4,not(cin)),not(or(cin,t6))) )],[refute_0_5467,refute_0_21076]) ).
cnf(refute_0_21078,plain,
or(t2,or(cin,not(or(cin,t6)))) = ll1,
inference(resolve,[$cnf( $equal(or(t2,or(cin,and(t4,not(cin)))),ll1) )],[refute_0_21075,refute_0_21077]) ).
cnf(refute_0_21079,plain,
or(t2,or(cin,not(or(cin,t6)))) = or(cin,or(t2,not(or(cin,t6)))),
inference(subst,[],[refute_0_267:[bind(X_37,$fot(t2)),bind(X_38,$fot(cin)),bind(X_39,$fot(not(or(cin,t6))))]]) ).
cnf(refute_0_21080,plain,
( or(t2,or(cin,not(or(cin,t6)))) != ll1
| or(t2,or(cin,not(or(cin,t6)))) != or(cin,or(t2,not(or(cin,t6))))
| or(cin,or(t2,not(or(cin,t6)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,or(cin,not(or(cin,t6)))),ll1) ),[0],$fot(or(cin,or(t2,not(or(cin,t6)))))]]) ).
cnf(refute_0_21081,plain,
( or(t2,or(cin,not(or(cin,t6)))) != ll1
| or(cin,or(t2,not(or(cin,t6)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t2,or(cin,not(or(cin,t6)))),or(cin,or(t2,not(or(cin,t6))))) )],[refute_0_21079,refute_0_21080]) ).
cnf(refute_0_21082,plain,
or(cin,or(t2,not(or(cin,t6)))) = ll1,
inference(resolve,[$cnf( $equal(or(t2,or(cin,not(or(cin,t6)))),ll1) )],[refute_0_21078,refute_0_21081]) ).
cnf(refute_0_21083,plain,
( and(or(cin,or(t2,not(or(cin,t6)))),not(or(or(t2,not(or(cin,t6))),cin))) != ll0
| or(cin,or(t2,not(or(cin,t6)))) != ll1
| and(ll1,not(or(or(t2,not(or(cin,t6))),cin))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(cin,or(t2,not(or(cin,t6)))),not(or(or(t2,not(or(cin,t6))),cin))),ll0) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_21084,plain,
( and(or(cin,or(t2,not(or(cin,t6)))),not(or(or(t2,not(or(cin,t6))),cin))) != ll0
| and(ll1,not(or(or(t2,not(or(cin,t6))),cin))) = ll0 ),
inference(resolve,[$cnf( $equal(or(cin,or(t2,not(or(cin,t6)))),ll1) )],[refute_0_21082,refute_0_21083]) ).
cnf(refute_0_21085,plain,
and(ll1,not(or(or(t2,not(or(cin,t6))),cin))) = ll0,
inference(resolve,[$cnf( $equal(and(or(cin,or(t2,not(or(cin,t6)))),not(or(or(t2,not(or(cin,t6))),cin))),ll0) )],[refute_0_21060,refute_0_21084]) ).
cnf(refute_0_21086,plain,
and(not(or(cin,t2)),or(cin,t6)) = and(or(cin,t6),not(or(cin,t2))),
inference(subst,[],[refute_0_116:[bind(X,$fot(or(cin,t6))),bind(Y,$fot(not(or(cin,t2))))]]) ).
cnf(refute_0_21087,plain,
not(or(cin,or(t2,not(or(cin,t6))))) = and(not(or(cin,t2)),or(cin,t6)),
inference(subst,[],[refute_0_7097:[bind(X,$fot(cin)),bind(Y,$fot(t2)),bind(X_78,$fot(or(cin,t6)))]]) ).
cnf(refute_0_21088,plain,
( and(not(or(cin,t2)),or(cin,t6)) != and(or(cin,t6),not(or(cin,t2)))
| not(or(cin,or(t2,not(or(cin,t6))))) != and(not(or(cin,t2)),or(cin,t6))
| not(or(cin,or(t2,not(or(cin,t6))))) = and(or(cin,t6),not(or(cin,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(cin,or(t2,not(or(cin,t6))))))),bind(Y0,$fot(and(not(or(cin,t2)),or(cin,t6)))),bind(Z0,$fot(and(or(cin,t6),not(or(cin,t2)))))]]) ).
cnf(refute_0_21089,plain,
( and(not(or(cin,t2)),or(cin,t6)) != and(or(cin,t6),not(or(cin,t2)))
| not(or(cin,or(t2,not(or(cin,t6))))) = and(or(cin,t6),not(or(cin,t2))) ),
inference(resolve,[$cnf( $equal(not(or(cin,or(t2,not(or(cin,t6))))),and(not(or(cin,t2)),or(cin,t6))) )],[refute_0_21087,refute_0_21088]) ).
cnf(refute_0_21090,plain,
not(or(cin,or(t2,not(or(cin,t6))))) = and(or(cin,t6),not(or(cin,t2))),
inference(resolve,[$cnf( $equal(and(not(or(cin,t2)),or(cin,t6)),and(or(cin,t6),not(or(cin,t2)))) )],[refute_0_21086,refute_0_21089]) ).
cnf(refute_0_21091,plain,
and(ll1,not(or(cin,or(t2,not(or(cin,t6)))))) = not(or(cin,or(t2,not(or(cin,t6))))),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(or(cin,or(t2,not(or(cin,t6)))))))]]) ).
cnf(refute_0_21092,plain,
( and(ll1,not(or(cin,or(t2,not(or(cin,t6)))))) != not(or(cin,or(t2,not(or(cin,t6)))))
| not(or(cin,or(t2,not(or(cin,t6))))) != and(or(cin,t6),not(or(cin,t2)))
| and(ll1,not(or(cin,or(t2,not(or(cin,t6)))))) = and(or(cin,t6),not(or(cin,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(cin,or(t2,not(or(cin,t6)))))))),bind(Y0,$fot(not(or(cin,or(t2,not(or(cin,t6))))))),bind(Z0,$fot(and(or(cin,t6),not(or(cin,t2)))))]]) ).
cnf(refute_0_21093,plain,
( not(or(cin,or(t2,not(or(cin,t6))))) != and(or(cin,t6),not(or(cin,t2)))
| and(ll1,not(or(cin,or(t2,not(or(cin,t6)))))) = and(or(cin,t6),not(or(cin,t2))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(cin,or(t2,not(or(cin,t6)))))),not(or(cin,or(t2,not(or(cin,t6)))))) )],[refute_0_21091,refute_0_21092]) ).
cnf(refute_0_21094,plain,
and(ll1,not(or(cin,or(t2,not(or(cin,t6)))))) = and(or(cin,t6),not(or(cin,t2))),
inference(resolve,[$cnf( $equal(not(or(cin,or(t2,not(or(cin,t6))))),and(or(cin,t6),not(or(cin,t2)))) )],[refute_0_21090,refute_0_21093]) ).
cnf(refute_0_21095,plain,
and(ll1,not(or(or(t2,not(or(cin,t6))),cin))) = and(ll1,not(or(cin,or(t2,not(or(cin,t6)))))),
inference(subst,[],[refute_0_815:[bind(X_25,$fot(cin)),bind(X_26,$fot(or(t2,not(or(cin,t6))))),bind(X_29,$fot(ll1))]]) ).
cnf(refute_0_21096,plain,
( and(ll1,not(or(cin,or(t2,not(or(cin,t6)))))) != and(or(cin,t6),not(or(cin,t2)))
| and(ll1,not(or(or(t2,not(or(cin,t6))),cin))) != and(ll1,not(or(cin,or(t2,not(or(cin,t6))))))
| and(ll1,not(or(or(t2,not(or(cin,t6))),cin))) = and(or(cin,t6),not(or(cin,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(or(t2,not(or(cin,t6))),cin))))),bind(Y0,$fot(and(ll1,not(or(cin,or(t2,not(or(cin,t6)))))))),bind(Z0,$fot(and(or(cin,t6),not(or(cin,t2)))))]]) ).
cnf(refute_0_21097,plain,
( and(ll1,not(or(cin,or(t2,not(or(cin,t6)))))) != and(or(cin,t6),not(or(cin,t2)))
| and(ll1,not(or(or(t2,not(or(cin,t6))),cin))) = and(or(cin,t6),not(or(cin,t2))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(or(t2,not(or(cin,t6))),cin))),and(ll1,not(or(cin,or(t2,not(or(cin,t6))))))) )],[refute_0_21095,refute_0_21096]) ).
cnf(refute_0_21098,plain,
and(ll1,not(or(or(t2,not(or(cin,t6))),cin))) = and(or(cin,t6),not(or(cin,t2))),
inference(resolve,[$cnf( $equal(and(ll1,not(or(cin,or(t2,not(or(cin,t6)))))),and(or(cin,t6),not(or(cin,t2)))) )],[refute_0_21094,refute_0_21097]) ).
cnf(refute_0_21099,plain,
( and(ll1,not(or(or(t2,not(or(cin,t6))),cin))) != and(or(cin,t6),not(or(cin,t2)))
| and(ll1,not(or(or(t2,not(or(cin,t6))),cin))) != ll0
| and(or(cin,t6),not(or(cin,t2))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(ll1,not(or(or(t2,not(or(cin,t6))),cin))),ll0) ),[0],$fot(and(or(cin,t6),not(or(cin,t2))))]]) ).
cnf(refute_0_21100,plain,
( and(ll1,not(or(or(t2,not(or(cin,t6))),cin))) != ll0
| and(or(cin,t6),not(or(cin,t2))) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(or(t2,not(or(cin,t6))),cin))),and(or(cin,t6),not(or(cin,t2)))) )],[refute_0_21098,refute_0_21099]) ).
cnf(refute_0_21101,plain,
and(or(cin,t6),not(or(cin,t2))) = ll0,
inference(resolve,[$cnf( $equal(and(ll1,not(or(or(t2,not(or(cin,t6))),cin))),ll0) )],[refute_0_21085,refute_0_21100]) ).
cnf(refute_0_21102,plain,
( and(or(cin,t6),not(or(cin,t2))) != ll0
| or(and(or(cin,t6),not(or(cin,t2))),and(not(or(cin,t6)),or(cin,t2))) != xor(or(cin,t6),or(cin,t2))
| or(ll0,and(not(or(cin,t6)),or(cin,t2))) = xor(or(cin,t6),or(cin,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(or(cin,t6),not(or(cin,t2))),and(not(or(cin,t6)),or(cin,t2))),xor(or(cin,t6),or(cin,t2))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_21103,plain,
( or(and(or(cin,t6),not(or(cin,t2))),and(not(or(cin,t6)),or(cin,t2))) != xor(or(cin,t6),or(cin,t2))
| or(ll0,and(not(or(cin,t6)),or(cin,t2))) = xor(or(cin,t6),or(cin,t2)) ),
inference(resolve,[$cnf( $equal(and(or(cin,t6),not(or(cin,t2))),ll0) )],[refute_0_21101,refute_0_21102]) ).
cnf(refute_0_21104,plain,
or(ll0,and(not(or(cin,t6)),or(cin,t2))) = xor(or(cin,t6),or(cin,t2)),
inference(resolve,[$cnf( $equal(or(and(or(cin,t6),not(or(cin,t2))),and(not(or(cin,t6)),or(cin,t2))),xor(or(cin,t6),or(cin,t2))) )],[refute_0_21059,refute_0_21103]) ).
cnf(refute_0_21105,plain,
and(not(or(cin,t6)),or(cin,t2)) = and(t4,and(not(cin),or(cin,t2))),
inference(subst,[],[refute_0_17889:[bind(Z,$fot(or(cin,t2)))]]) ).
cnf(refute_0_21106,plain,
or(ll0,and(not(or(cin,t6)),or(cin,t2))) = and(not(or(cin,t6)),or(cin,t2)),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(or(cin,t6)),or(cin,t2))))]]) ).
cnf(refute_0_21107,plain,
( and(not(or(cin,t6)),or(cin,t2)) != and(t4,and(not(cin),or(cin,t2)))
| or(ll0,and(not(or(cin,t6)),or(cin,t2))) != and(not(or(cin,t6)),or(cin,t2))
| or(ll0,and(not(or(cin,t6)),or(cin,t2))) = and(t4,and(not(cin),or(cin,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(ll0,and(not(or(cin,t6)),or(cin,t2))))),bind(Y0,$fot(and(not(or(cin,t6)),or(cin,t2)))),bind(Z0,$fot(and(t4,and(not(cin),or(cin,t2)))))]]) ).
cnf(refute_0_21108,plain,
( and(not(or(cin,t6)),or(cin,t2)) != and(t4,and(not(cin),or(cin,t2)))
| or(ll0,and(not(or(cin,t6)),or(cin,t2))) = and(t4,and(not(cin),or(cin,t2))) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(or(cin,t6)),or(cin,t2))),and(not(or(cin,t6)),or(cin,t2))) )],[refute_0_21106,refute_0_21107]) ).
cnf(refute_0_21109,plain,
or(ll0,and(not(or(cin,t6)),or(cin,t2))) = and(t4,and(not(cin),or(cin,t2))),
inference(resolve,[$cnf( $equal(and(not(or(cin,t6)),or(cin,t2)),and(t4,and(not(cin),or(cin,t2)))) )],[refute_0_21105,refute_0_21108]) ).
cnf(refute_0_21110,plain,
( or(ll0,and(not(or(cin,t6)),or(cin,t2))) != and(t4,and(not(cin),or(cin,t2)))
| or(ll0,and(not(or(cin,t6)),or(cin,t2))) != xor(or(cin,t6),or(cin,t2))
| and(t4,and(not(cin),or(cin,t2))) = xor(or(cin,t6),or(cin,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(or(cin,t6)),or(cin,t2))),xor(or(cin,t6),or(cin,t2))) ),[0],$fot(and(t4,and(not(cin),or(cin,t2))))]]) ).
cnf(refute_0_21111,plain,
( or(ll0,and(not(or(cin,t6)),or(cin,t2))) != xor(or(cin,t6),or(cin,t2))
| and(t4,and(not(cin),or(cin,t2))) = xor(or(cin,t6),or(cin,t2)) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(or(cin,t6)),or(cin,t2))),and(t4,and(not(cin),or(cin,t2)))) )],[refute_0_21109,refute_0_21110]) ).
cnf(refute_0_21112,plain,
xor(or(cin,t6),or(cin,t2)) = xor(or(cin,t2),or(cin,t6)),
inference(subst,[],[refute_0_1913:[bind(X,$fot(or(cin,t2))),bind(Y,$fot(or(cin,t6)))]]) ).
cnf(refute_0_21113,plain,
( and(t4,and(not(cin),or(cin,t2))) != xor(or(cin,t6),or(cin,t2))
| xor(or(cin,t6),or(cin,t2)) != xor(or(cin,t2),or(cin,t6))
| and(t4,and(not(cin),or(cin,t2))) = xor(or(cin,t2),or(cin,t6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t4,and(not(cin),or(cin,t2))),xor(or(cin,t2),or(cin,t6))) ),[0],$fot(xor(or(cin,t6),or(cin,t2)))]]) ).
cnf(refute_0_21114,plain,
( and(t4,and(not(cin),or(cin,t2))) != xor(or(cin,t6),or(cin,t2))
| and(t4,and(not(cin),or(cin,t2))) = xor(or(cin,t2),or(cin,t6)) ),
inference(resolve,[$cnf( $equal(xor(or(cin,t6),or(cin,t2)),xor(or(cin,t2),or(cin,t6))) )],[refute_0_21112,refute_0_21113]) ).
cnf(refute_0_21115,plain,
( or(ll0,and(not(or(cin,t6)),or(cin,t2))) != xor(or(cin,t6),or(cin,t2))
| and(t4,and(not(cin),or(cin,t2))) = xor(or(cin,t2),or(cin,t6)) ),
inference(resolve,[$cnf( $equal(and(t4,and(not(cin),or(cin,t2))),xor(or(cin,t6),or(cin,t2))) )],[refute_0_21111,refute_0_21114]) ).
cnf(refute_0_21116,plain,
and(t4,and(not(cin),or(cin,t2))) = xor(or(cin,t2),or(cin,t6)),
inference(resolve,[$cnf( $equal(or(ll0,and(not(or(cin,t6)),or(cin,t2))),xor(or(cin,t6),or(cin,t2))) )],[refute_0_21104,refute_0_21115]) ).
cnf(refute_0_21117,plain,
and(t4,and(not(cin),or(cin,t2))) = and(not(t6),or(cin,t2)),
inference(subst,[],[refute_0_17910:[bind(Z,$fot(or(cin,t2)))]]) ).
cnf(refute_0_21118,plain,
( and(t4,and(not(cin),or(cin,t2))) != and(not(t6),or(cin,t2))
| and(t4,and(not(cin),or(cin,t2))) != xor(or(cin,t2),or(cin,t6))
| and(not(t6),or(cin,t2)) = xor(or(cin,t2),or(cin,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,and(not(cin),or(cin,t2))),xor(or(cin,t2),or(cin,t6))) ),[0],$fot(and(not(t6),or(cin,t2)))]]) ).
cnf(refute_0_21119,plain,
( and(t4,and(not(cin),or(cin,t2))) != xor(or(cin,t2),or(cin,t6))
| and(not(t6),or(cin,t2)) = xor(or(cin,t2),or(cin,t6)) ),
inference(resolve,[$cnf( $equal(and(t4,and(not(cin),or(cin,t2))),and(not(t6),or(cin,t2))) )],[refute_0_21117,refute_0_21118]) ).
cnf(refute_0_21120,plain,
xor(or(cin,t2),t6) = xor(t6,or(cin,t2)),
inference(subst,[],[refute_0_1484:[bind(X_333,$fot(or(cin,t2)))]]) ).
cnf(refute_0_21121,plain,
xor(or(cin,t2),or(cin,t6)) = xor(or(cin,t2),or(cin,t6)),
introduced(tautology,[refl,[$fot(xor(or(cin,t2),or(cin,t6)))]]) ).
cnf(refute_0_21122,plain,
( or(cin,t6) != t6
| xor(or(cin,t2),or(cin,t6)) != xor(or(cin,t2),or(cin,t6))
| xor(or(cin,t2),or(cin,t6)) = xor(or(cin,t2),t6) ),
introduced(tautology,[equality,[$cnf( $equal(xor(or(cin,t2),or(cin,t6)),xor(or(cin,t2),or(cin,t6))) ),[1,1],$fot(t6)]]) ).
cnf(refute_0_21123,plain,
( or(cin,t6) != t6
| xor(or(cin,t2),or(cin,t6)) = xor(or(cin,t2),t6) ),
inference(resolve,[$cnf( $equal(xor(or(cin,t2),or(cin,t6)),xor(or(cin,t2),or(cin,t6))) )],[refute_0_21121,refute_0_21122]) ).
cnf(refute_0_21124,plain,
xor(or(cin,t2),or(cin,t6)) = xor(or(cin,t2),t6),
inference(resolve,[$cnf( $equal(or(cin,t6),t6) )],[refute_0_5492,refute_0_21123]) ).
cnf(refute_0_21125,plain,
( xor(or(cin,t2),or(cin,t6)) != xor(or(cin,t2),t6)
| xor(or(cin,t2),t6) != xor(t6,or(cin,t2))
| xor(or(cin,t2),or(cin,t6)) = xor(t6,or(cin,t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(or(cin,t2),or(cin,t6)))),bind(Y0,$fot(xor(or(cin,t2),t6))),bind(Z0,$fot(xor(t6,or(cin,t2))))]]) ).
cnf(refute_0_21126,plain,
( xor(or(cin,t2),t6) != xor(t6,or(cin,t2))
| xor(or(cin,t2),or(cin,t6)) = xor(t6,or(cin,t2)) ),
inference(resolve,[$cnf( $equal(xor(or(cin,t2),or(cin,t6)),xor(or(cin,t2),t6)) )],[refute_0_21124,refute_0_21125]) ).
cnf(refute_0_21127,plain,
xor(or(cin,t2),or(cin,t6)) = xor(t6,or(cin,t2)),
inference(resolve,[$cnf( $equal(xor(or(cin,t2),t6),xor(t6,or(cin,t2))) )],[refute_0_21120,refute_0_21126]) ).
cnf(refute_0_21128,plain,
( and(not(t6),or(cin,t2)) != xor(or(cin,t2),or(cin,t6))
| xor(or(cin,t2),or(cin,t6)) != xor(t6,or(cin,t2))
| and(not(t6),or(cin,t2)) = xor(t6,or(cin,t2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(t6),or(cin,t2)),xor(t6,or(cin,t2))) ),[0],$fot(xor(or(cin,t2),or(cin,t6)))]]) ).
cnf(refute_0_21129,plain,
( and(not(t6),or(cin,t2)) != xor(or(cin,t2),or(cin,t6))
| and(not(t6),or(cin,t2)) = xor(t6,or(cin,t2)) ),
inference(resolve,[$cnf( $equal(xor(or(cin,t2),or(cin,t6)),xor(t6,or(cin,t2))) )],[refute_0_21127,refute_0_21128]) ).
cnf(refute_0_21130,plain,
( and(t4,and(not(cin),or(cin,t2))) != xor(or(cin,t2),or(cin,t6))
| and(not(t6),or(cin,t2)) = xor(t6,or(cin,t2)) ),
inference(resolve,[$cnf( $equal(and(not(t6),or(cin,t2)),xor(or(cin,t2),or(cin,t6))) )],[refute_0_21119,refute_0_21129]) ).
cnf(refute_0_21131,plain,
and(not(t6),or(cin,t2)) = xor(t6,or(cin,t2)),
inference(resolve,[$cnf( $equal(and(t4,and(not(cin),or(cin,t2))),xor(or(cin,t2),or(cin,t6))) )],[refute_0_21116,refute_0_21130]) ).
cnf(refute_0_21132,plain,
or(or(carry,t2),and(cin,or(carry,t2))) = or(carry,t2),
inference(subst,[],[refute_0_222:[bind(X_13,$fot(or(carry,t2))),bind(X_14,$fot(cin))]]) ).
cnf(refute_0_21133,plain,
and(cin,or(cin,or(xor(cin,t6),X_397))) = cin,
inference(subst,[],[and_absorption:[bind(X,$fot(cin)),bind(Y,$fot(or(xor(cin,t6),X_397)))]]) ).
cnf(refute_0_21134,plain,
( or(t6,X_397) != or(cin,or(xor(cin,t6),X_397))
| or(cin,or(xor(cin,t6),X_397)) = or(t6,X_397) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(t6,X_397))),bind(Y0,$fot(or(cin,or(xor(cin,t6),X_397))))]]) ).
cnf(refute_0_21135,plain,
or(cin,or(xor(cin,t6),X_397)) = or(t6,X_397),
inference(resolve,[$cnf( $equal(or(t6,X_397),or(cin,or(xor(cin,t6),X_397))) )],[refute_0_17180,refute_0_21134]) ).
cnf(refute_0_21136,plain,
( and(cin,or(cin,or(xor(cin,t6),X_397))) != cin
| or(cin,or(xor(cin,t6),X_397)) != or(t6,X_397)
| and(cin,or(t6,X_397)) = cin ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,or(cin,or(xor(cin,t6),X_397))),cin) ),[0,1],$fot(or(t6,X_397))]]) ).
cnf(refute_0_21137,plain,
( and(cin,or(cin,or(xor(cin,t6),X_397))) != cin
| and(cin,or(t6,X_397)) = cin ),
inference(resolve,[$cnf( $equal(or(cin,or(xor(cin,t6),X_397)),or(t6,X_397)) )],[refute_0_21135,refute_0_21136]) ).
cnf(refute_0_21138,plain,
and(cin,or(t6,X_397)) = cin,
inference(resolve,[$cnf( $equal(and(cin,or(cin,or(xor(cin,t6),X_397))),cin) )],[refute_0_21133,refute_0_21137]) ).
cnf(refute_0_21139,plain,
and(cin,or(t6,X_398)) = cin,
inference(subst,[],[refute_0_21138:[bind(X_397,$fot(X_398))]]) ).
cnf(refute_0_21140,plain,
or(X_398,t6) = or(t6,X_398),
inference(subst,[],[or_commutative:[bind(X,$fot(X_398)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_21141,plain,
( or(X_398,t6) != or(t6,X_398)
| or(t6,X_398) = or(X_398,t6) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(X_398,t6))),bind(Y0,$fot(or(t6,X_398)))]]) ).
cnf(refute_0_21142,plain,
or(t6,X_398) = or(X_398,t6),
inference(resolve,[$cnf( $equal(or(X_398,t6),or(t6,X_398)) )],[refute_0_21140,refute_0_21141]) ).
cnf(refute_0_21143,plain,
( and(cin,or(t6,X_398)) != cin
| or(t6,X_398) != or(X_398,t6)
| and(cin,or(X_398,t6)) = cin ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,or(t6,X_398)),cin) ),[0,1],$fot(or(X_398,t6))]]) ).
cnf(refute_0_21144,plain,
( and(cin,or(t6,X_398)) != cin
| and(cin,or(X_398,t6)) = cin ),
inference(resolve,[$cnf( $equal(or(t6,X_398),or(X_398,t6)) )],[refute_0_21142,refute_0_21143]) ).
cnf(refute_0_21145,plain,
and(cin,or(X_398,t6)) = cin,
inference(resolve,[$cnf( $equal(and(cin,or(t6,X_398)),cin) )],[refute_0_21139,refute_0_21144]) ).
cnf(refute_0_21146,plain,
and(cin,or(t2,t6)) = cin,
inference(subst,[],[refute_0_21145:[bind(X_398,$fot(t2))]]) ).
cnf(refute_0_21147,plain,
( and(cin,or(t2,t6)) != cin
| or(t2,t6) != or(carry,t2)
| and(cin,or(carry,t2)) = cin ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,or(t2,t6)),cin) ),[0,1],$fot(or(carry,t2))]]) ).
cnf(refute_0_21148,plain,
( and(cin,or(t2,t6)) != cin
| and(cin,or(carry,t2)) = cin ),
inference(resolve,[$cnf( $equal(or(t2,t6),or(carry,t2)) )],[refute_0_19466,refute_0_21147]) ).
cnf(refute_0_21149,plain,
and(cin,or(carry,t2)) = cin,
inference(resolve,[$cnf( $equal(and(cin,or(t2,t6)),cin) )],[refute_0_21146,refute_0_21148]) ).
cnf(refute_0_21150,plain,
( and(cin,or(carry,t2)) != cin
| or(or(carry,t2),and(cin,or(carry,t2))) != or(carry,t2)
| or(or(carry,t2),cin) = or(carry,t2) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(carry,t2),and(cin,or(carry,t2))),or(carry,t2)) ),[0,1],$fot(cin)]]) ).
cnf(refute_0_21151,plain,
( or(or(carry,t2),and(cin,or(carry,t2))) != or(carry,t2)
| or(or(carry,t2),cin) = or(carry,t2) ),
inference(resolve,[$cnf( $equal(and(cin,or(carry,t2)),cin) )],[refute_0_21149,refute_0_21150]) ).
cnf(refute_0_21152,plain,
or(or(carry,t2),cin) = or(carry,t2),
inference(resolve,[$cnf( $equal(or(or(carry,t2),and(cin,or(carry,t2))),or(carry,t2)) )],[refute_0_21132,refute_0_21151]) ).
cnf(refute_0_21153,plain,
not(and(a,not(or(carry,cin)))) = or(not(a),not(not(or(carry,cin)))),
inference(subst,[],[and_demorgan:[bind(X,$fot(a)),bind(Y,$fot(not(or(carry,cin))))]]) ).
cnf(refute_0_21154,plain,
and(not(t2),not(cin)) = and(a,and(t1,not(cin))),
inference(subst,[],[refute_0_1927:[bind(X_222,$fot(not(cin)))]]) ).
cnf(refute_0_21155,plain,
( and(not(t2),not(cin)) != and(a,and(t1,not(cin)))
| and(t1,not(cin)) != not(or(carry,cin))
| and(not(t2),not(cin)) = and(a,not(or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),not(cin)),and(a,and(t1,not(cin)))) ),[1,1],$fot(not(or(carry,cin)))]]) ).
cnf(refute_0_21156,plain,
( and(not(t2),not(cin)) != and(a,and(t1,not(cin)))
| and(not(t2),not(cin)) = and(a,not(or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(t1,not(cin)),not(or(carry,cin))) )],[refute_0_11746,refute_0_21155]) ).
cnf(refute_0_21157,plain,
and(not(t2),not(cin)) = and(a,not(or(carry,cin))),
inference(resolve,[$cnf( $equal(and(not(t2),not(cin)),and(a,and(t1,not(cin)))) )],[refute_0_21154,refute_0_21156]) ).
cnf(refute_0_21158,plain,
not(or(t2,cin)) = not(or(cin,t2)),
inference(subst,[],[refute_0_562:[bind(X_25,$fot(t2)),bind(X_26,$fot(cin))]]) ).
cnf(refute_0_21159,plain,
and(not(t2),not(cin)) = not(or(t2,cin)),
inference(subst,[],[refute_0_101:[bind(X,$fot(t2)),bind(Y,$fot(cin))]]) ).
cnf(refute_0_21160,plain,
( and(not(t2),not(cin)) != not(or(t2,cin))
| not(or(t2,cin)) != not(or(cin,t2))
| and(not(t2),not(cin)) = not(or(cin,t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t2),not(cin)))),bind(Y0,$fot(not(or(t2,cin)))),bind(Z0,$fot(not(or(cin,t2))))]]) ).
cnf(refute_0_21161,plain,
( not(or(t2,cin)) != not(or(cin,t2))
| and(not(t2),not(cin)) = not(or(cin,t2)) ),
inference(resolve,[$cnf( $equal(and(not(t2),not(cin)),not(or(t2,cin))) )],[refute_0_21159,refute_0_21160]) ).
cnf(refute_0_21162,plain,
and(not(t2),not(cin)) = not(or(cin,t2)),
inference(resolve,[$cnf( $equal(not(or(t2,cin)),not(or(cin,t2))) )],[refute_0_21158,refute_0_21161]) ).
cnf(refute_0_21163,plain,
( and(not(t2),not(cin)) != and(a,not(or(carry,cin)))
| and(not(t2),not(cin)) != not(or(cin,t2))
| not(or(cin,t2)) = and(a,not(or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),not(cin)),and(a,not(or(carry,cin)))) ),[0],$fot(not(or(cin,t2)))]]) ).
cnf(refute_0_21164,plain,
( and(not(t2),not(cin)) != and(a,not(or(carry,cin)))
| not(or(cin,t2)) = and(a,not(or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(not(t2),not(cin)),not(or(cin,t2))) )],[refute_0_21162,refute_0_21163]) ).
cnf(refute_0_21165,plain,
not(or(cin,t2)) = and(a,not(or(carry,cin))),
inference(resolve,[$cnf( $equal(and(not(t2),not(cin)),and(a,not(or(carry,cin)))) )],[refute_0_21157,refute_0_21164]) ).
cnf(refute_0_21166,plain,
( not(or(cin,t2)) != and(a,not(or(carry,cin)))
| and(a,not(or(carry,cin))) = not(or(cin,t2)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(cin,t2)))),bind(Y0,$fot(and(a,not(or(carry,cin)))))]]) ).
cnf(refute_0_21167,plain,
and(a,not(or(carry,cin))) = not(or(cin,t2)),
inference(resolve,[$cnf( $equal(not(or(cin,t2)),and(a,not(or(carry,cin)))) )],[refute_0_21165,refute_0_21166]) ).
cnf(refute_0_21168,plain,
( and(a,not(or(carry,cin))) != not(or(cin,t2))
| not(and(a,not(or(carry,cin)))) != or(not(a),not(not(or(carry,cin))))
| not(not(or(cin,t2))) = or(not(a),not(not(or(carry,cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(a,not(or(carry,cin)))),or(not(a),not(not(or(carry,cin))))) ),[0,0],$fot(not(or(cin,t2)))]]) ).
cnf(refute_0_21169,plain,
( not(and(a,not(or(carry,cin)))) != or(not(a),not(not(or(carry,cin))))
| not(not(or(cin,t2))) = or(not(a),not(not(or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(and(a,not(or(carry,cin))),not(or(cin,t2))) )],[refute_0_21167,refute_0_21168]) ).
cnf(refute_0_21170,plain,
not(not(or(cin,t2))) = or(not(a),not(not(or(carry,cin)))),
inference(resolve,[$cnf( $equal(not(and(a,not(or(carry,cin)))),or(not(a),not(not(or(carry,cin))))) )],[refute_0_21153,refute_0_21169]) ).
cnf(refute_0_21171,plain,
not(not(or(cin,t2))) = or(cin,t2),
inference(subst,[],[not_involution:[bind(X,$fot(or(cin,t2)))]]) ).
cnf(refute_0_21172,plain,
( not(not(or(cin,t2))) != or(cin,t2)
| not(not(or(cin,t2))) != or(not(a),not(not(or(carry,cin))))
| or(cin,t2) = or(not(a),not(not(or(carry,cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(or(cin,t2))),or(not(a),not(not(or(carry,cin))))) ),[0],$fot(or(cin,t2))]]) ).
cnf(refute_0_21173,plain,
( not(not(or(cin,t2))) != or(not(a),not(not(or(carry,cin))))
| or(cin,t2) = or(not(a),not(not(or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(not(not(or(cin,t2))),or(cin,t2)) )],[refute_0_21171,refute_0_21172]) ).
cnf(refute_0_21174,plain,
or(carry,or(t2,cin)) = or(carry,or(cin,t2)),
inference(subst,[],[refute_0_3788:[bind(X_37,$fot(carry)),bind(X_38,$fot(cin)),bind(X_39,$fot(t2))]]) ).
cnf(refute_0_21175,plain,
or(or(carry,not(a)),Z) = or(carry,or(not(a),Z)),
inference(subst,[],[or_associative:[bind(X,$fot(carry)),bind(Y,$fot(not(a)))]]) ).
cnf(refute_0_21176,plain,
( or(carry,not(a)) != or(carry,t2)
| or(or(carry,not(a)),Z) != or(carry,or(not(a),Z))
| or(or(carry,t2),Z) = or(carry,or(not(a),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(carry,not(a)),Z),or(carry,or(not(a),Z))) ),[0,0],$fot(or(carry,t2))]]) ).
cnf(refute_0_21177,plain,
( or(or(carry,not(a)),Z) != or(carry,or(not(a),Z))
| or(or(carry,t2),Z) = or(carry,or(not(a),Z)) ),
inference(resolve,[$cnf( $equal(or(carry,not(a)),or(carry,t2)) )],[refute_0_19906,refute_0_21176]) ).
cnf(refute_0_21178,plain,
or(or(carry,t2),Z) = or(carry,or(not(a),Z)),
inference(resolve,[$cnf( $equal(or(or(carry,not(a)),Z),or(carry,or(not(a),Z))) )],[refute_0_21175,refute_0_21177]) ).
cnf(refute_0_21179,plain,
( or(or(carry,t2),Z) != or(carry,or(not(a),Z))
| or(or(carry,t2),Z) != or(carry,or(t2,Z))
| or(carry,or(t2,Z)) = or(carry,or(not(a),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(carry,t2),Z),or(carry,or(not(a),Z))) ),[0],$fot(or(carry,or(t2,Z)))]]) ).
cnf(refute_0_21180,plain,
( or(or(carry,t2),Z) != or(carry,or(not(a),Z))
| or(carry,or(t2,Z)) = or(carry,or(not(a),Z)) ),
inference(resolve,[$cnf( $equal(or(or(carry,t2),Z),or(carry,or(t2,Z))) )],[refute_0_19968,refute_0_21179]) ).
cnf(refute_0_21181,plain,
or(carry,or(t2,Z)) = or(carry,or(not(a),Z)),
inference(resolve,[$cnf( $equal(or(or(carry,t2),Z),or(carry,or(not(a),Z))) )],[refute_0_21178,refute_0_21180]) ).
cnf(refute_0_21182,plain,
( or(carry,or(t2,Z)) != or(carry,or(not(a),Z))
| or(carry,or(not(a),Z)) = or(carry,or(t2,Z)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(carry,or(t2,Z)))),bind(Y0,$fot(or(carry,or(not(a),Z))))]]) ).
cnf(refute_0_21183,plain,
or(carry,or(not(a),Z)) = or(carry,or(t2,Z)),
inference(resolve,[$cnf( $equal(or(carry,or(t2,Z)),or(carry,or(not(a),Z))) )],[refute_0_21181,refute_0_21182]) ).
cnf(refute_0_21184,plain,
or(carry,or(not(a),cin)) = or(carry,or(t2,cin)),
inference(subst,[],[refute_0_21183:[bind(Z,$fot(cin))]]) ).
cnf(refute_0_21185,plain,
( or(carry,or(not(a),cin)) != or(carry,or(t2,cin))
| or(carry,or(t2,cin)) != or(carry,or(cin,t2))
| or(carry,or(not(a),cin)) = or(carry,or(cin,t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(carry,or(not(a),cin)))),bind(Y0,$fot(or(carry,or(t2,cin)))),bind(Z0,$fot(or(carry,or(cin,t2))))]]) ).
cnf(refute_0_21186,plain,
( or(carry,or(t2,cin)) != or(carry,or(cin,t2))
| or(carry,or(not(a),cin)) = or(carry,or(cin,t2)) ),
inference(resolve,[$cnf( $equal(or(carry,or(not(a),cin)),or(carry,or(t2,cin))) )],[refute_0_21184,refute_0_21185]) ).
cnf(refute_0_21187,plain,
or(carry,or(not(a),cin)) = or(carry,or(cin,t2)),
inference(resolve,[$cnf( $equal(or(carry,or(t2,cin)),or(carry,or(cin,t2))) )],[refute_0_21174,refute_0_21186]) ).
cnf(refute_0_21188,plain,
or(not(a),or(carry,cin)) = or(carry,or(not(a),cin)),
inference(subst,[],[refute_0_267:[bind(X_37,$fot(not(a))),bind(X_38,$fot(carry)),bind(X_39,$fot(cin))]]) ).
cnf(refute_0_21189,plain,
( or(carry,or(not(a),cin)) != or(carry,or(cin,t2))
| or(not(a),or(carry,cin)) != or(carry,or(not(a),cin))
| or(not(a),or(carry,cin)) = or(carry,or(cin,t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(a),or(carry,cin)))),bind(Y0,$fot(or(carry,or(not(a),cin)))),bind(Z0,$fot(or(carry,or(cin,t2))))]]) ).
cnf(refute_0_21190,plain,
( or(carry,or(not(a),cin)) != or(carry,or(cin,t2))
| or(not(a),or(carry,cin)) = or(carry,or(cin,t2)) ),
inference(resolve,[$cnf( $equal(or(not(a),or(carry,cin)),or(carry,or(not(a),cin))) )],[refute_0_21188,refute_0_21189]) ).
cnf(refute_0_21191,plain,
or(not(a),or(carry,cin)) = or(carry,or(cin,t2)),
inference(resolve,[$cnf( $equal(or(carry,or(not(a),cin)),or(carry,or(cin,t2))) )],[refute_0_21187,refute_0_21190]) ).
cnf(refute_0_21192,plain,
not(and(a,not(or(carry,cin)))) = or(not(a),or(carry,cin)),
inference(subst,[],[refute_0_435:[bind(X_29,$fot(a)),bind(X_30,$fot(or(carry,cin)))]]) ).
cnf(refute_0_21193,plain,
( not(and(a,not(or(carry,cin)))) != or(not(a),or(carry,cin))
| or(not(a),or(carry,cin)) != or(carry,or(cin,t2))
| not(and(a,not(or(carry,cin)))) = or(carry,or(cin,t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(a,not(or(carry,cin)))))),bind(Y0,$fot(or(not(a),or(carry,cin)))),bind(Z0,$fot(or(carry,or(cin,t2))))]]) ).
cnf(refute_0_21194,plain,
( or(not(a),or(carry,cin)) != or(carry,or(cin,t2))
| not(and(a,not(or(carry,cin)))) = or(carry,or(cin,t2)) ),
inference(resolve,[$cnf( $equal(not(and(a,not(or(carry,cin)))),or(not(a),or(carry,cin))) )],[refute_0_21192,refute_0_21193]) ).
cnf(refute_0_21195,plain,
not(and(a,not(or(carry,cin)))) = or(carry,or(cin,t2)),
inference(resolve,[$cnf( $equal(or(not(a),or(carry,cin)),or(carry,or(cin,t2))) )],[refute_0_21191,refute_0_21194]) ).
cnf(refute_0_21196,plain,
or(not(a),not(not(or(carry,cin)))) = not(and(a,not(or(carry,cin)))),
inference(subst,[],[refute_0_147:[bind(X,$fot(a)),bind(Y,$fot(not(or(carry,cin))))]]) ).
cnf(refute_0_21197,plain,
( not(and(a,not(or(carry,cin)))) != or(carry,or(cin,t2))
| or(not(a),not(not(or(carry,cin)))) != not(and(a,not(or(carry,cin))))
| or(not(a),not(not(or(carry,cin)))) = or(carry,or(cin,t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(a),not(not(or(carry,cin)))))),bind(Y0,$fot(not(and(a,not(or(carry,cin)))))),bind(Z0,$fot(or(carry,or(cin,t2))))]]) ).
cnf(refute_0_21198,plain,
( not(and(a,not(or(carry,cin)))) != or(carry,or(cin,t2))
| or(not(a),not(not(or(carry,cin)))) = or(carry,or(cin,t2)) ),
inference(resolve,[$cnf( $equal(or(not(a),not(not(or(carry,cin)))),not(and(a,not(or(carry,cin))))) )],[refute_0_21196,refute_0_21197]) ).
cnf(refute_0_21199,plain,
or(not(a),not(not(or(carry,cin)))) = or(carry,or(cin,t2)),
inference(resolve,[$cnf( $equal(not(and(a,not(or(carry,cin)))),or(carry,or(cin,t2))) )],[refute_0_21195,refute_0_21198]) ).
cnf(refute_0_21200,plain,
( or(cin,t2) != or(not(a),not(not(or(carry,cin))))
| or(not(a),not(not(or(carry,cin)))) != or(carry,or(cin,t2))
| or(cin,t2) = or(carry,or(cin,t2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(cin,t2),or(carry,or(cin,t2))) ),[0],$fot(or(not(a),not(not(or(carry,cin)))))]]) ).
cnf(refute_0_21201,plain,
( or(cin,t2) != or(not(a),not(not(or(carry,cin))))
| or(cin,t2) = or(carry,or(cin,t2)) ),
inference(resolve,[$cnf( $equal(or(not(a),not(not(or(carry,cin)))),or(carry,or(cin,t2))) )],[refute_0_21199,refute_0_21200]) ).
cnf(refute_0_21202,plain,
( not(not(or(cin,t2))) != or(not(a),not(not(or(carry,cin))))
| or(cin,t2) = or(carry,or(cin,t2)) ),
inference(resolve,[$cnf( $equal(or(cin,t2),or(not(a),not(not(or(carry,cin))))) )],[refute_0_21173,refute_0_21201]) ).
cnf(refute_0_21203,plain,
or(cin,t2) = or(carry,or(cin,t2)),
inference(resolve,[$cnf( $equal(not(not(or(cin,t2))),or(not(a),not(not(or(carry,cin))))) )],[refute_0_21170,refute_0_21202]) ).
cnf(refute_0_21204,plain,
( or(cin,t2) != or(carry,or(cin,t2))
| or(carry,or(cin,t2)) = or(cin,t2) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(cin,t2))),bind(Y0,$fot(or(carry,or(cin,t2))))]]) ).
cnf(refute_0_21205,plain,
or(carry,or(cin,t2)) = or(cin,t2),
inference(resolve,[$cnf( $equal(or(cin,t2),or(carry,or(cin,t2))) )],[refute_0_21203,refute_0_21204]) ).
cnf(refute_0_21206,plain,
( or(carry,or(cin,t2)) != or(cin,t2)
| or(carry,or(t2,cin)) != or(carry,or(cin,t2))
| or(carry,or(t2,cin)) = or(cin,t2) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(carry,or(t2,cin)))),bind(Y0,$fot(or(carry,or(cin,t2)))),bind(Z0,$fot(or(cin,t2)))]]) ).
cnf(refute_0_21207,plain,
( or(carry,or(cin,t2)) != or(cin,t2)
| or(carry,or(t2,cin)) = or(cin,t2) ),
inference(resolve,[$cnf( $equal(or(carry,or(t2,cin)),or(carry,or(cin,t2))) )],[refute_0_21174,refute_0_21206]) ).
cnf(refute_0_21208,plain,
or(carry,or(t2,cin)) = or(cin,t2),
inference(resolve,[$cnf( $equal(or(carry,or(cin,t2)),or(cin,t2)) )],[refute_0_21205,refute_0_21207]) ).
cnf(refute_0_21209,plain,
or(or(carry,t2),cin) = or(carry,or(t2,cin)),
inference(subst,[],[or_associative:[bind(X,$fot(carry)),bind(Y,$fot(t2)),bind(Z,$fot(cin))]]) ).
cnf(refute_0_21210,plain,
( or(carry,or(t2,cin)) != or(cin,t2)
| or(or(carry,t2),cin) != or(carry,or(t2,cin))
| or(or(carry,t2),cin) = or(cin,t2) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(or(carry,t2),cin))),bind(Y0,$fot(or(carry,or(t2,cin)))),bind(Z0,$fot(or(cin,t2)))]]) ).
cnf(refute_0_21211,plain,
( or(carry,or(t2,cin)) != or(cin,t2)
| or(or(carry,t2),cin) = or(cin,t2) ),
inference(resolve,[$cnf( $equal(or(or(carry,t2),cin),or(carry,or(t2,cin))) )],[refute_0_21209,refute_0_21210]) ).
cnf(refute_0_21212,plain,
or(or(carry,t2),cin) = or(cin,t2),
inference(resolve,[$cnf( $equal(or(carry,or(t2,cin)),or(cin,t2)) )],[refute_0_21208,refute_0_21211]) ).
cnf(refute_0_21213,plain,
( or(or(carry,t2),cin) != or(carry,t2)
| or(or(carry,t2),cin) != or(cin,t2)
| or(cin,t2) = or(carry,t2) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(carry,t2),cin),or(carry,t2)) ),[0],$fot(or(cin,t2))]]) ).
cnf(refute_0_21214,plain,
( or(or(carry,t2),cin) != or(carry,t2)
| or(cin,t2) = or(carry,t2) ),
inference(resolve,[$cnf( $equal(or(or(carry,t2),cin),or(cin,t2)) )],[refute_0_21212,refute_0_21213]) ).
cnf(refute_0_21215,plain,
or(cin,t2) = or(carry,t2),
inference(resolve,[$cnf( $equal(or(or(carry,t2),cin),or(carry,t2)) )],[refute_0_21152,refute_0_21214]) ).
cnf(refute_0_21216,plain,
and(not(t6),or(cin,t2)) = and(not(t6),or(cin,t2)),
introduced(tautology,[refl,[$fot(and(not(t6),or(cin,t2)))]]) ).
cnf(refute_0_21217,plain,
( and(not(t6),or(cin,t2)) != and(not(t6),or(cin,t2))
| or(cin,t2) != or(carry,t2)
| and(not(t6),or(cin,t2)) = and(not(t6),or(carry,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),or(cin,t2)),and(not(t6),or(cin,t2))) ),[1,1],$fot(or(carry,t2))]]) ).
cnf(refute_0_21218,plain,
( or(cin,t2) != or(carry,t2)
| and(not(t6),or(cin,t2)) = and(not(t6),or(carry,t2)) ),
inference(resolve,[$cnf( $equal(and(not(t6),or(cin,t2)),and(not(t6),or(cin,t2))) )],[refute_0_21216,refute_0_21217]) ).
cnf(refute_0_21219,plain,
and(not(t6),or(cin,t2)) = and(not(t6),or(carry,t2)),
inference(resolve,[$cnf( $equal(or(cin,t2),or(carry,t2)) )],[refute_0_21215,refute_0_21218]) ).
cnf(refute_0_21220,plain,
( and(not(t6),or(cin,t2)) != and(not(t6),or(carry,t2))
| and(not(t6),or(cin,t2)) != xor(t6,or(cin,t2))
| and(not(t6),or(carry,t2)) = xor(t6,or(cin,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),or(cin,t2)),xor(t6,or(cin,t2))) ),[0],$fot(and(not(t6),or(carry,t2)))]]) ).
cnf(refute_0_21221,plain,
( and(not(t6),or(cin,t2)) != xor(t6,or(cin,t2))
| and(not(t6),or(carry,t2)) = xor(t6,or(cin,t2)) ),
inference(resolve,[$cnf( $equal(and(not(t6),or(cin,t2)),and(not(t6),or(carry,t2))) )],[refute_0_21219,refute_0_21220]) ).
cnf(refute_0_21222,plain,
xor(t6,or(cin,t2)) = xor(t6,or(cin,t2)),
introduced(tautology,[refl,[$fot(xor(t6,or(cin,t2)))]]) ).
cnf(refute_0_21223,plain,
( or(cin,t2) != or(carry,t2)
| xor(t6,or(cin,t2)) != xor(t6,or(cin,t2))
| xor(t6,or(cin,t2)) = xor(t6,or(carry,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,or(cin,t2)),xor(t6,or(cin,t2))) ),[1,1],$fot(or(carry,t2))]]) ).
cnf(refute_0_21224,plain,
( or(cin,t2) != or(carry,t2)
| xor(t6,or(cin,t2)) = xor(t6,or(carry,t2)) ),
inference(resolve,[$cnf( $equal(xor(t6,or(cin,t2)),xor(t6,or(cin,t2))) )],[refute_0_21222,refute_0_21223]) ).
cnf(refute_0_21225,plain,
xor(t6,or(cin,t2)) = xor(t6,or(carry,t2)),
inference(resolve,[$cnf( $equal(or(cin,t2),or(carry,t2)) )],[refute_0_21215,refute_0_21224]) ).
cnf(refute_0_21226,plain,
( and(not(t6),or(carry,t2)) != xor(t6,or(cin,t2))
| xor(t6,or(cin,t2)) != xor(t6,or(carry,t2))
| and(not(t6),or(carry,t2)) = xor(t6,or(carry,t2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(t6),or(carry,t2)),xor(t6,or(carry,t2))) ),[0],$fot(xor(t6,or(cin,t2)))]]) ).
cnf(refute_0_21227,plain,
( and(not(t6),or(carry,t2)) != xor(t6,or(cin,t2))
| and(not(t6),or(carry,t2)) = xor(t6,or(carry,t2)) ),
inference(resolve,[$cnf( $equal(xor(t6,or(cin,t2)),xor(t6,or(carry,t2))) )],[refute_0_21225,refute_0_21226]) ).
cnf(refute_0_21228,plain,
( and(not(t6),or(cin,t2)) != xor(t6,or(cin,t2))
| and(not(t6),or(carry,t2)) = xor(t6,or(carry,t2)) ),
inference(resolve,[$cnf( $equal(and(not(t6),or(carry,t2)),xor(t6,or(cin,t2))) )],[refute_0_21221,refute_0_21227]) ).
cnf(refute_0_21229,plain,
and(not(t6),or(carry,t2)) = xor(t6,or(carry,t2)),
inference(resolve,[$cnf( $equal(and(not(t6),or(cin,t2)),xor(t6,or(cin,t2))) )],[refute_0_21131,refute_0_21228]) ).
cnf(refute_0_21230,plain,
( and(not(t6),or(carry,t2)) != xor(t6,or(carry,t2))
| ll0 != and(t6,and(not(t6),or(carry,t2)))
| ll0 = and(t6,xor(t6,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(t6,and(not(t6),or(carry,t2)))) ),[1,1],$fot(xor(t6,or(carry,t2)))]]) ).
cnf(refute_0_21231,plain,
( ll0 != and(t6,and(not(t6),or(carry,t2)))
| ll0 = and(t6,xor(t6,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(not(t6),or(carry,t2)),xor(t6,or(carry,t2))) )],[refute_0_21229,refute_0_21230]) ).
cnf(refute_0_21232,plain,
ll0 = and(t6,xor(t6,or(carry,t2))),
inference(resolve,[$cnf( $equal(ll0,and(t6,and(not(t6),or(carry,t2)))) )],[refute_0_21058,refute_0_21231]) ).
cnf(refute_0_21233,plain,
( ll0 != and(t6,xor(t6,or(carry,t2)))
| and(t6,xor(t6,or(carry,t2))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(t6,xor(t6,or(carry,t2)))))]]) ).
cnf(refute_0_21234,plain,
and(t6,xor(t6,or(carry,t2))) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(t6,xor(t6,or(carry,t2)))) )],[refute_0_21232,refute_0_21233]) ).
cnf(refute_0_21235,plain,
( and(not(t4),xor(t6,or(carry,t2))) != and(t5,and(t6,xor(t6,or(carry,t2))))
| and(t6,xor(t6,or(carry,t2))) != ll0
| and(not(t4),xor(t6,or(carry,t2))) = and(t5,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),xor(t6,or(carry,t2))),and(t5,and(t6,xor(t6,or(carry,t2))))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_21236,plain,
( and(not(t4),xor(t6,or(carry,t2))) != and(t5,and(t6,xor(t6,or(carry,t2))))
| and(not(t4),xor(t6,or(carry,t2))) = and(t5,ll0) ),
inference(resolve,[$cnf( $equal(and(t6,xor(t6,or(carry,t2))),ll0) )],[refute_0_21234,refute_0_21235]) ).
cnf(refute_0_21237,plain,
and(not(t4),xor(t6,or(carry,t2))) = and(t5,ll0),
inference(resolve,[$cnf( $equal(and(not(t4),xor(t6,or(carry,t2))),and(t5,and(t6,xor(t6,or(carry,t2))))) )],[refute_0_21057,refute_0_21236]) ).
cnf(refute_0_21238,plain,
( and(not(t4),xor(t6,or(carry,t2))) != and(t5,ll0)
| and(t5,ll0) != ll0
| and(not(t4),xor(t6,or(carry,t2))) = ll0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(t4),xor(t6,or(carry,t2))),ll0) ),[0],$fot(and(t5,ll0))]]) ).
cnf(refute_0_21239,plain,
( and(not(t4),xor(t6,or(carry,t2))) != and(t5,ll0)
| and(not(t4),xor(t6,or(carry,t2))) = ll0 ),
inference(resolve,[$cnf( $equal(and(t5,ll0),ll0) )],[refute_0_12257,refute_0_21238]) ).
cnf(refute_0_21240,plain,
and(not(t4),xor(t6,or(carry,t2))) = ll0,
inference(resolve,[$cnf( $equal(and(not(t4),xor(t6,or(carry,t2))),and(t5,ll0)) )],[refute_0_21237,refute_0_21239]) ).
cnf(refute_0_21241,plain,
( and(not(t4),xor(t6,or(carry,t2))) != ll0
| or(and(t4,not(xor(t6,or(carry,t2)))),and(not(t4),xor(t6,or(carry,t2)))) != xor(t4,xor(t6,or(carry,t2)))
| or(and(t4,not(xor(t6,or(carry,t2)))),ll0) = xor(t4,xor(t6,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,not(xor(t6,or(carry,t2)))),and(not(t4),xor(t6,or(carry,t2)))),xor(t4,xor(t6,or(carry,t2)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_21242,plain,
( or(and(t4,not(xor(t6,or(carry,t2)))),and(not(t4),xor(t6,or(carry,t2)))) != xor(t4,xor(t6,or(carry,t2)))
| or(and(t4,not(xor(t6,or(carry,t2)))),ll0) = xor(t4,xor(t6,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(not(t4),xor(t6,or(carry,t2))),ll0) )],[refute_0_21240,refute_0_21241]) ).
cnf(refute_0_21243,plain,
or(and(t4,not(xor(t6,or(carry,t2)))),ll0) = xor(t4,xor(t6,or(carry,t2))),
inference(resolve,[$cnf( $equal(or(and(t4,not(xor(t6,or(carry,t2)))),and(not(t4),xor(t6,or(carry,t2)))),xor(t4,xor(t6,or(carry,t2)))) )],[refute_0_21056,refute_0_21242]) ).
cnf(refute_0_21244,plain,
or(and(t4,not(xor(t6,or(carry,t2)))),ll0) = and(t4,not(xor(t6,or(carry,t2)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t4,not(xor(t6,or(carry,t2))))))]]) ).
cnf(refute_0_21245,plain,
( or(and(t4,not(xor(t6,or(carry,t2)))),ll0) != and(t4,not(xor(t6,or(carry,t2))))
| or(and(t4,not(xor(t6,or(carry,t2)))),ll0) != xor(t4,xor(t6,or(carry,t2)))
| and(t4,not(xor(t6,or(carry,t2)))) = xor(t4,xor(t6,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,not(xor(t6,or(carry,t2)))),ll0),xor(t4,xor(t6,or(carry,t2)))) ),[0],$fot(and(t4,not(xor(t6,or(carry,t2)))))]]) ).
cnf(refute_0_21246,plain,
( or(and(t4,not(xor(t6,or(carry,t2)))),ll0) != xor(t4,xor(t6,or(carry,t2)))
| and(t4,not(xor(t6,or(carry,t2)))) = xor(t4,xor(t6,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(or(and(t4,not(xor(t6,or(carry,t2)))),ll0),and(t4,not(xor(t6,or(carry,t2))))) )],[refute_0_21244,refute_0_21245]) ).
cnf(refute_0_21247,plain,
xor(t4,xor(t6,or(carry,t2))) = xor(t5,or(carry,t2)),
inference(subst,[],[refute_0_13087:[bind(Y,$fot(or(carry,t2)))]]) ).
cnf(refute_0_21248,plain,
( and(t4,not(xor(t6,or(carry,t2)))) != xor(t4,xor(t6,or(carry,t2)))
| xor(t4,xor(t6,or(carry,t2))) != xor(t5,or(carry,t2))
| and(t4,not(xor(t6,or(carry,t2)))) = xor(t5,or(carry,t2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t4,not(xor(t6,or(carry,t2)))),xor(t5,or(carry,t2))) ),[0],$fot(xor(t4,xor(t6,or(carry,t2))))]]) ).
cnf(refute_0_21249,plain,
( and(t4,not(xor(t6,or(carry,t2)))) != xor(t4,xor(t6,or(carry,t2)))
| and(t4,not(xor(t6,or(carry,t2)))) = xor(t5,or(carry,t2)) ),
inference(resolve,[$cnf( $equal(xor(t4,xor(t6,or(carry,t2))),xor(t5,or(carry,t2))) )],[refute_0_21247,refute_0_21248]) ).
cnf(refute_0_21250,plain,
( or(and(t4,not(xor(t6,or(carry,t2)))),ll0) != xor(t4,xor(t6,or(carry,t2)))
| and(t4,not(xor(t6,or(carry,t2)))) = xor(t5,or(carry,t2)) ),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t6,or(carry,t2)))),xor(t4,xor(t6,or(carry,t2)))) )],[refute_0_21246,refute_0_21249]) ).
cnf(refute_0_21251,plain,
and(t4,not(xor(t6,or(carry,t2)))) = xor(t5,or(carry,t2)),
inference(resolve,[$cnf( $equal(or(and(t4,not(xor(t6,or(carry,t2)))),ll0),xor(t4,xor(t6,or(carry,t2)))) )],[refute_0_21243,refute_0_21250]) ).
cnf(refute_0_21252,plain,
xor(t6,or(carry,t2)) = xor(t6,or(carry,t2)),
introduced(tautology,[refl,[$fot(xor(t6,or(carry,t2)))]]) ).
cnf(refute_0_21253,plain,
( or(carry,t2) != or(b,t6)
| xor(t6,or(carry,t2)) != xor(t6,or(carry,t2))
| xor(t6,or(carry,t2)) = xor(t6,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,or(carry,t2)),xor(t6,or(carry,t2))) ),[1,1],$fot(or(b,t6))]]) ).
cnf(refute_0_21254,plain,
( or(carry,t2) != or(b,t6)
| xor(t6,or(carry,t2)) = xor(t6,or(b,t6)) ),
inference(resolve,[$cnf( $equal(xor(t6,or(carry,t2)),xor(t6,or(carry,t2))) )],[refute_0_21252,refute_0_21253]) ).
cnf(refute_0_21255,plain,
xor(t6,or(carry,t2)) = xor(t6,or(b,t6)),
inference(resolve,[$cnf( $equal(or(carry,t2),or(b,t6)) )],[refute_0_19502,refute_0_21254]) ).
cnf(refute_0_21256,plain,
not(xor(t6,or(carry,t2))) = not(xor(t6,or(carry,t2))),
introduced(tautology,[refl,[$fot(not(xor(t6,or(carry,t2))))]]) ).
cnf(refute_0_21257,plain,
( not(xor(t6,or(carry,t2))) != not(xor(t6,or(carry,t2)))
| xor(t6,or(carry,t2)) != xor(t6,or(b,t6))
| not(xor(t6,or(carry,t2))) = not(xor(t6,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t6,or(carry,t2))),not(xor(t6,or(carry,t2)))) ),[1,0],$fot(xor(t6,or(b,t6)))]]) ).
cnf(refute_0_21258,plain,
( xor(t6,or(carry,t2)) != xor(t6,or(b,t6))
| not(xor(t6,or(carry,t2))) = not(xor(t6,or(b,t6))) ),
inference(resolve,[$cnf( $equal(not(xor(t6,or(carry,t2))),not(xor(t6,or(carry,t2)))) )],[refute_0_21256,refute_0_21257]) ).
cnf(refute_0_21259,plain,
not(xor(t6,or(carry,t2))) = not(xor(t6,or(b,t6))),
inference(resolve,[$cnf( $equal(xor(t6,or(carry,t2)),xor(t6,or(b,t6))) )],[refute_0_21255,refute_0_21258]) ).
cnf(refute_0_21260,plain,
and(t4,not(xor(t6,or(carry,t2)))) = and(t4,not(xor(t6,or(carry,t2)))),
introduced(tautology,[refl,[$fot(and(t4,not(xor(t6,or(carry,t2)))))]]) ).
cnf(refute_0_21261,plain,
( and(t4,not(xor(t6,or(carry,t2)))) != and(t4,not(xor(t6,or(carry,t2))))
| not(xor(t6,or(carry,t2))) != not(xor(t6,or(b,t6)))
| and(t4,not(xor(t6,or(carry,t2)))) = and(t4,not(xor(t6,or(b,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,not(xor(t6,or(carry,t2)))),and(t4,not(xor(t6,or(carry,t2))))) ),[1,1],$fot(not(xor(t6,or(b,t6))))]]) ).
cnf(refute_0_21262,plain,
( not(xor(t6,or(carry,t2))) != not(xor(t6,or(b,t6)))
| and(t4,not(xor(t6,or(carry,t2)))) = and(t4,not(xor(t6,or(b,t6)))) ),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t6,or(carry,t2)))),and(t4,not(xor(t6,or(carry,t2))))) )],[refute_0_21260,refute_0_21261]) ).
cnf(refute_0_21263,plain,
and(t4,not(xor(t6,or(carry,t2)))) = and(t4,not(xor(t6,or(b,t6)))),
inference(resolve,[$cnf( $equal(not(xor(t6,or(carry,t2))),not(xor(t6,or(b,t6)))) )],[refute_0_21259,refute_0_21262]) ).
cnf(refute_0_21264,plain,
( and(t4,not(xor(t6,or(carry,t2)))) != and(t4,not(xor(t6,or(b,t6))))
| and(t4,not(xor(t6,or(carry,t2)))) != xor(t5,or(carry,t2))
| and(t4,not(xor(t6,or(b,t6)))) = xor(t5,or(carry,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,not(xor(t6,or(carry,t2)))),xor(t5,or(carry,t2))) ),[0],$fot(and(t4,not(xor(t6,or(b,t6)))))]]) ).
cnf(refute_0_21265,plain,
( and(t4,not(xor(t6,or(carry,t2)))) != xor(t5,or(carry,t2))
| and(t4,not(xor(t6,or(b,t6)))) = xor(t5,or(carry,t2)) ),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t6,or(carry,t2)))),and(t4,not(xor(t6,or(b,t6))))) )],[refute_0_21263,refute_0_21264]) ).
cnf(refute_0_21266,plain,
( and(t4,not(xor(t6,or(b,t6)))) != xor(t5,or(carry,t2))
| xor(t5,or(carry,t2)) != xor(t5,or(b,t6))
| and(t4,not(xor(t6,or(b,t6)))) = xor(t5,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t4,not(xor(t6,or(b,t6)))),xor(t5,or(b,t6))) ),[0],$fot(xor(t5,or(carry,t2)))]]) ).
cnf(refute_0_21267,plain,
( and(t4,not(xor(t6,or(b,t6)))) != xor(t5,or(carry,t2))
| and(t4,not(xor(t6,or(b,t6)))) = xor(t5,or(b,t6)) ),
inference(resolve,[$cnf( $equal(xor(t5,or(carry,t2)),xor(t5,or(b,t6))) )],[refute_0_19506,refute_0_21266]) ).
cnf(refute_0_21268,plain,
( and(t4,not(xor(t6,or(carry,t2)))) != xor(t5,or(carry,t2))
| and(t4,not(xor(t6,or(b,t6)))) = xor(t5,or(b,t6)) ),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t6,or(b,t6)))),xor(t5,or(carry,t2))) )],[refute_0_21265,refute_0_21267]) ).
cnf(refute_0_21269,plain,
and(t4,not(xor(t6,or(b,t6)))) = xor(t5,or(b,t6)),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t6,or(carry,t2)))),xor(t5,or(carry,t2))) )],[refute_0_21251,refute_0_21268]) ).
cnf(refute_0_21270,plain,
or(t6,not(and(t4,or(b,t6)))) = or(t6,not(and(t4,and(t4,or(b,t6))))),
inference(subst,[],[refute_0_14898:[bind(Y,$fot(and(t4,or(b,t6))))]]) ).
cnf(refute_0_21271,plain,
or(and(t4,not(or(b,t6))),and(not(t4),or(b,t6))) = xor(t4,or(b,t6)),
inference(subst,[],[refute_0_9:[bind(X,$fot(t4)),bind(Y,$fot(or(b,t6)))]]) ).
cnf(refute_0_21272,plain,
and(not(or(b,t6)),or(t4,not(or(b,t6)))) = not(or(b,t6)),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(not(or(b,t6)))),bind(X_20,$fot(t4))]]) ).
cnf(refute_0_21273,plain,
or(t4,and(t4,not(or(b,carry)))) = t4,
inference(subst,[],[or_absorption:[bind(X,$fot(t4)),bind(Y,$fot(not(or(b,carry))))]]) ).
cnf(refute_0_21274,plain,
and(not(t6),not(b)) = and(t4,and(t5,not(b))),
inference(subst,[],[refute_0_667:[bind(X_222,$fot(not(b)))]]) ).
cnf(refute_0_21275,plain,
and(not(carry),not(b)) = and(t1,and(t5,not(b))),
inference(subst,[],[refute_0_178:[bind(X_222,$fot(not(b)))]]) ).
cnf(refute_0_21276,plain,
and(X_295,not(b)) = and(not(b),X_295),
inference(subst,[],[and_commutative:[bind(X,$fot(X_295)),bind(Y,$fot(not(b)))]]) ).
cnf(refute_0_21277,plain,
( and(X_295,not(b)) != and(not(b),X_295)
| and(not(b),X_295) = and(X_295,not(b)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X_295,not(b)))),bind(Y0,$fot(and(not(b),X_295)))]]) ).
cnf(refute_0_21278,plain,
and(not(b),X_295) = and(X_295,not(b)),
inference(resolve,[$cnf( $equal(and(X_295,not(b)),and(not(b),X_295)) )],[refute_0_21276,refute_0_21277]) ).
cnf(refute_0_21279,plain,
( and(not(b),X_295) != and(X_295,not(b))
| and(not(b),X_295) != and(t1,and(not(b),X_295))
| and(not(b),X_295) = and(t1,and(X_295,not(b))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(b),X_295),and(t1,and(not(b),X_295))) ),[1,1],$fot(and(X_295,not(b)))]]) ).
cnf(refute_0_21280,plain,
( and(not(b),X_295) != and(t1,and(not(b),X_295))
| and(not(b),X_295) = and(t1,and(X_295,not(b))) ),
inference(resolve,[$cnf( $equal(and(not(b),X_295),and(X_295,not(b))) )],[refute_0_21278,refute_0_21279]) ).
cnf(refute_0_21281,plain,
and(not(b),X_295) = and(t1,and(X_295,not(b))),
inference(resolve,[$cnf( $equal(and(not(b),X_295),and(t1,and(not(b),X_295))) )],[refute_0_18759,refute_0_21280]) ).
cnf(refute_0_21282,plain,
and(not(b),t5) = and(t1,and(t5,not(b))),
inference(subst,[],[refute_0_21281:[bind(X_295,$fot(t5))]]) ).
cnf(refute_0_21283,plain,
( and(not(b),t5) != and(t1,and(t5,not(b)))
| and(t1,and(t5,not(b))) = and(not(b),t5) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(b),t5))),bind(Y0,$fot(and(t1,and(t5,not(b)))))]]) ).
cnf(refute_0_21284,plain,
and(t1,and(t5,not(b))) = and(not(b),t5),
inference(resolve,[$cnf( $equal(and(not(b),t5),and(t1,and(t5,not(b)))) )],[refute_0_21282,refute_0_21283]) ).
cnf(refute_0_21285,plain,
( and(not(carry),not(b)) != and(t1,and(t5,not(b)))
| and(t1,and(t5,not(b))) != and(not(b),t5)
| and(not(carry),not(b)) = and(not(b),t5) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(carry),not(b)),and(not(b),t5)) ),[0],$fot(and(t1,and(t5,not(b))))]]) ).
cnf(refute_0_21286,plain,
( and(not(carry),not(b)) != and(t1,and(t5,not(b)))
| and(not(carry),not(b)) = and(not(b),t5) ),
inference(resolve,[$cnf( $equal(and(t1,and(t5,not(b))),and(not(b),t5)) )],[refute_0_21284,refute_0_21285]) ).
cnf(refute_0_21287,plain,
and(not(carry),not(b)) = and(not(b),t5),
inference(resolve,[$cnf( $equal(and(not(carry),not(b)),and(t1,and(t5,not(b)))) )],[refute_0_21275,refute_0_21286]) ).
cnf(refute_0_21288,plain,
not(or(carry,b)) = not(or(b,carry)),
inference(subst,[],[refute_0_562:[bind(X_25,$fot(carry)),bind(X_26,$fot(b))]]) ).
cnf(refute_0_21289,plain,
and(not(carry),not(b)) = not(or(carry,b)),
inference(subst,[],[refute_0_101:[bind(X,$fot(carry)),bind(Y,$fot(b))]]) ).
cnf(refute_0_21290,plain,
( and(not(carry),not(b)) != not(or(carry,b))
| not(or(carry,b)) != not(or(b,carry))
| and(not(carry),not(b)) = not(or(b,carry)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(carry),not(b)))),bind(Y0,$fot(not(or(carry,b)))),bind(Z0,$fot(not(or(b,carry))))]]) ).
cnf(refute_0_21291,plain,
( not(or(carry,b)) != not(or(b,carry))
| and(not(carry),not(b)) = not(or(b,carry)) ),
inference(resolve,[$cnf( $equal(and(not(carry),not(b)),not(or(carry,b))) )],[refute_0_21289,refute_0_21290]) ).
cnf(refute_0_21292,plain,
and(not(carry),not(b)) = not(or(b,carry)),
inference(resolve,[$cnf( $equal(not(or(carry,b)),not(or(b,carry))) )],[refute_0_21288,refute_0_21291]) ).
cnf(refute_0_21293,plain,
( and(not(carry),not(b)) != and(not(b),t5)
| and(not(carry),not(b)) != not(or(b,carry))
| not(or(b,carry)) = and(not(b),t5) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),not(b)),and(not(b),t5)) ),[0],$fot(not(or(b,carry)))]]) ).
cnf(refute_0_21294,plain,
( and(not(carry),not(b)) != and(not(b),t5)
| not(or(b,carry)) = and(not(b),t5) ),
inference(resolve,[$cnf( $equal(and(not(carry),not(b)),not(or(b,carry))) )],[refute_0_21292,refute_0_21293]) ).
cnf(refute_0_21295,plain,
and(not(b),t5) = and(t5,not(b)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t5)),bind(Y,$fot(not(b)))]]) ).
cnf(refute_0_21296,plain,
( and(not(b),t5) != and(t5,not(b))
| not(or(b,carry)) != and(not(b),t5)
| not(or(b,carry)) = and(t5,not(b)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(b,carry)),and(not(b),t5)) ),[1],$fot(and(t5,not(b)))]]) ).
cnf(refute_0_21297,plain,
( not(or(b,carry)) != and(not(b),t5)
| not(or(b,carry)) = and(t5,not(b)) ),
inference(resolve,[$cnf( $equal(and(not(b),t5),and(t5,not(b))) )],[refute_0_21295,refute_0_21296]) ).
cnf(refute_0_21298,plain,
( and(not(carry),not(b)) != and(not(b),t5)
| not(or(b,carry)) = and(t5,not(b)) ),
inference(resolve,[$cnf( $equal(not(or(b,carry)),and(not(b),t5)) )],[refute_0_21294,refute_0_21297]) ).
cnf(refute_0_21299,plain,
not(or(b,carry)) = and(t5,not(b)),
inference(resolve,[$cnf( $equal(and(not(carry),not(b)),and(not(b),t5)) )],[refute_0_21287,refute_0_21298]) ).
cnf(refute_0_21300,plain,
( not(or(b,carry)) != and(t5,not(b))
| and(t5,not(b)) = not(or(b,carry)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(b,carry)))),bind(Y0,$fot(and(t5,not(b))))]]) ).
cnf(refute_0_21301,plain,
and(t5,not(b)) = not(or(b,carry)),
inference(resolve,[$cnf( $equal(not(or(b,carry)),and(t5,not(b))) )],[refute_0_21299,refute_0_21300]) ).
cnf(refute_0_21302,plain,
( and(not(t6),not(b)) != and(t4,and(t5,not(b)))
| and(t5,not(b)) != not(or(b,carry))
| and(not(t6),not(b)) = and(t4,not(or(b,carry))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),not(b)),and(t4,and(t5,not(b)))) ),[1,1],$fot(not(or(b,carry)))]]) ).
cnf(refute_0_21303,plain,
( and(not(t6),not(b)) != and(t4,and(t5,not(b)))
| and(not(t6),not(b)) = and(t4,not(or(b,carry))) ),
inference(resolve,[$cnf( $equal(and(t5,not(b)),not(or(b,carry))) )],[refute_0_21301,refute_0_21302]) ).
cnf(refute_0_21304,plain,
and(not(t6),not(b)) = and(t4,not(or(b,carry))),
inference(resolve,[$cnf( $equal(and(not(t6),not(b)),and(t4,and(t5,not(b)))) )],[refute_0_21274,refute_0_21303]) ).
cnf(refute_0_21305,plain,
not(or(t6,b)) = not(or(b,t6)),
inference(subst,[],[refute_0_562:[bind(X_25,$fot(t6)),bind(X_26,$fot(b))]]) ).
cnf(refute_0_21306,plain,
and(not(t6),not(b)) = not(or(t6,b)),
inference(subst,[],[refute_0_101:[bind(X,$fot(t6)),bind(Y,$fot(b))]]) ).
cnf(refute_0_21307,plain,
( and(not(t6),not(b)) != not(or(t6,b))
| not(or(t6,b)) != not(or(b,t6))
| and(not(t6),not(b)) = not(or(b,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t6),not(b)))),bind(Y0,$fot(not(or(t6,b)))),bind(Z0,$fot(not(or(b,t6))))]]) ).
cnf(refute_0_21308,plain,
( not(or(t6,b)) != not(or(b,t6))
| and(not(t6),not(b)) = not(or(b,t6)) ),
inference(resolve,[$cnf( $equal(and(not(t6),not(b)),not(or(t6,b))) )],[refute_0_21306,refute_0_21307]) ).
cnf(refute_0_21309,plain,
and(not(t6),not(b)) = not(or(b,t6)),
inference(resolve,[$cnf( $equal(not(or(t6,b)),not(or(b,t6))) )],[refute_0_21305,refute_0_21308]) ).
cnf(refute_0_21310,plain,
( and(not(t6),not(b)) != and(t4,not(or(b,carry)))
| and(not(t6),not(b)) != not(or(b,t6))
| not(or(b,t6)) = and(t4,not(or(b,carry))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),not(b)),and(t4,not(or(b,carry)))) ),[0],$fot(not(or(b,t6)))]]) ).
cnf(refute_0_21311,plain,
( and(not(t6),not(b)) != and(t4,not(or(b,carry)))
| not(or(b,t6)) = and(t4,not(or(b,carry))) ),
inference(resolve,[$cnf( $equal(and(not(t6),not(b)),not(or(b,t6))) )],[refute_0_21309,refute_0_21310]) ).
cnf(refute_0_21312,plain,
not(or(b,t6)) = and(t4,not(or(b,carry))),
inference(resolve,[$cnf( $equal(and(not(t6),not(b)),and(t4,not(or(b,carry)))) )],[refute_0_21304,refute_0_21311]) ).
cnf(refute_0_21313,plain,
( not(or(b,t6)) != and(t4,not(or(b,carry)))
| and(t4,not(or(b,carry))) = not(or(b,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(b,t6)))),bind(Y0,$fot(and(t4,not(or(b,carry)))))]]) ).
cnf(refute_0_21314,plain,
and(t4,not(or(b,carry))) = not(or(b,t6)),
inference(resolve,[$cnf( $equal(not(or(b,t6)),and(t4,not(or(b,carry)))) )],[refute_0_21312,refute_0_21313]) ).
cnf(refute_0_21315,plain,
( and(t4,not(or(b,carry))) != not(or(b,t6))
| or(t4,and(t4,not(or(b,carry)))) != t4
| or(t4,not(or(b,t6))) = t4 ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,and(t4,not(or(b,carry)))),t4) ),[0,1],$fot(not(or(b,t6)))]]) ).
cnf(refute_0_21316,plain,
( or(t4,and(t4,not(or(b,carry)))) != t4
| or(t4,not(or(b,t6))) = t4 ),
inference(resolve,[$cnf( $equal(and(t4,not(or(b,carry))),not(or(b,t6))) )],[refute_0_21314,refute_0_21315]) ).
cnf(refute_0_21317,plain,
or(t4,not(or(b,t6))) = t4,
inference(resolve,[$cnf( $equal(or(t4,and(t4,not(or(b,carry)))),t4) )],[refute_0_21273,refute_0_21316]) ).
cnf(refute_0_21318,plain,
( and(not(or(b,t6)),or(t4,not(or(b,t6)))) != not(or(b,t6))
| or(t4,not(or(b,t6))) != t4
| and(not(or(b,t6)),t4) = not(or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(or(b,t6)),or(t4,not(or(b,t6)))),not(or(b,t6))) ),[0,1],$fot(t4)]]) ).
cnf(refute_0_21319,plain,
( and(not(or(b,t6)),or(t4,not(or(b,t6)))) != not(or(b,t6))
| and(not(or(b,t6)),t4) = not(or(b,t6)) ),
inference(resolve,[$cnf( $equal(or(t4,not(or(b,t6))),t4) )],[refute_0_21317,refute_0_21318]) ).
cnf(refute_0_21320,plain,
and(not(or(b,t6)),t4) = not(or(b,t6)),
inference(resolve,[$cnf( $equal(and(not(or(b,t6)),or(t4,not(or(b,t6)))),not(or(b,t6))) )],[refute_0_21272,refute_0_21319]) ).
cnf(refute_0_21321,plain,
and(not(or(b,t6)),t4) = and(t4,not(or(b,t6))),
inference(subst,[],[refute_0_116:[bind(X,$fot(t4)),bind(Y,$fot(not(or(b,t6))))]]) ).
cnf(refute_0_21322,plain,
( and(not(or(b,t6)),t4) != and(t4,not(or(b,t6)))
| and(not(or(b,t6)),t4) != not(or(b,t6))
| and(t4,not(or(b,t6))) = not(or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(or(b,t6)),t4),not(or(b,t6))) ),[0],$fot(and(t4,not(or(b,t6))))]]) ).
cnf(refute_0_21323,plain,
( and(not(or(b,t6)),t4) != not(or(b,t6))
| and(t4,not(or(b,t6))) = not(or(b,t6)) ),
inference(resolve,[$cnf( $equal(and(not(or(b,t6)),t4),and(t4,not(or(b,t6)))) )],[refute_0_21321,refute_0_21322]) ).
cnf(refute_0_21324,plain,
and(t4,not(or(b,t6))) = not(or(b,t6)),
inference(resolve,[$cnf( $equal(and(not(or(b,t6)),t4),not(or(b,t6))) )],[refute_0_21320,refute_0_21323]) ).
cnf(refute_0_21325,plain,
( and(t4,not(or(b,t6))) != not(or(b,t6))
| or(and(t4,not(or(b,t6))),and(not(t4),or(b,t6))) != xor(t4,or(b,t6))
| or(not(or(b,t6)),and(not(t4),or(b,t6))) = xor(t4,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,not(or(b,t6))),and(not(t4),or(b,t6))),xor(t4,or(b,t6))) ),[0,0],$fot(not(or(b,t6)))]]) ).
cnf(refute_0_21326,plain,
( or(and(t4,not(or(b,t6))),and(not(t4),or(b,t6))) != xor(t4,or(b,t6))
| or(not(or(b,t6)),and(not(t4),or(b,t6))) = xor(t4,or(b,t6)) ),
inference(resolve,[$cnf( $equal(and(t4,not(or(b,t6))),not(or(b,t6))) )],[refute_0_21324,refute_0_21325]) ).
cnf(refute_0_21327,plain,
or(not(or(b,t6)),and(not(t4),or(b,t6))) = xor(t4,or(b,t6)),
inference(resolve,[$cnf( $equal(or(and(t4,not(or(b,t6))),and(not(t4),or(b,t6))),xor(t4,or(b,t6))) )],[refute_0_21271,refute_0_21326]) ).
cnf(refute_0_21328,plain,
and(or(b,t6),t4) = and(t4,or(b,t6)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t4)),bind(Y,$fot(or(b,t6)))]]) ).
cnf(refute_0_21329,plain,
and(or(b,t6),or(t4,not(or(b,t6)))) = and(or(b,t6),or(t4,not(or(b,t6)))),
introduced(tautology,[refl,[$fot(and(or(b,t6),or(t4,not(or(b,t6)))))]]) ).
cnf(refute_0_21330,plain,
( and(or(b,t6),or(t4,not(or(b,t6)))) != and(or(b,t6),or(t4,not(or(b,t6))))
| or(t4,not(or(b,t6))) != t4
| and(or(b,t6),or(t4,not(or(b,t6)))) = and(or(b,t6),t4) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(b,t6),or(t4,not(or(b,t6)))),and(or(b,t6),or(t4,not(or(b,t6))))) ),[1,1],$fot(t4)]]) ).
cnf(refute_0_21331,plain,
( or(t4,not(or(b,t6))) != t4
| and(or(b,t6),or(t4,not(or(b,t6)))) = and(or(b,t6),t4) ),
inference(resolve,[$cnf( $equal(and(or(b,t6),or(t4,not(or(b,t6)))),and(or(b,t6),or(t4,not(or(b,t6))))) )],[refute_0_21329,refute_0_21330]) ).
cnf(refute_0_21332,plain,
and(or(b,t6),or(t4,not(or(b,t6)))) = and(or(b,t6),t4),
inference(resolve,[$cnf( $equal(or(t4,not(or(b,t6))),t4) )],[refute_0_21317,refute_0_21331]) ).
cnf(refute_0_21333,plain,
( and(or(b,t6),or(t4,not(or(b,t6)))) != and(or(b,t6),t4)
| and(or(b,t6),t4) != and(t4,or(b,t6))
| and(or(b,t6),or(t4,not(or(b,t6)))) = and(t4,or(b,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(or(b,t6),or(t4,not(or(b,t6)))))),bind(Y0,$fot(and(or(b,t6),t4))),bind(Z0,$fot(and(t4,or(b,t6))))]]) ).
cnf(refute_0_21334,plain,
( and(or(b,t6),t4) != and(t4,or(b,t6))
| and(or(b,t6),or(t4,not(or(b,t6)))) = and(t4,or(b,t6)) ),
inference(resolve,[$cnf( $equal(and(or(b,t6),or(t4,not(or(b,t6)))),and(or(b,t6),t4)) )],[refute_0_21332,refute_0_21333]) ).
cnf(refute_0_21335,plain,
and(or(b,t6),or(t4,not(or(b,t6)))) = and(t4,or(b,t6)),
inference(resolve,[$cnf( $equal(and(or(b,t6),t4),and(t4,or(b,t6))) )],[refute_0_21328,refute_0_21334]) ).
cnf(refute_0_21336,plain,
not(and(or(b,t6),or(t4,not(or(b,t6))))) = not(and(or(b,t6),or(t4,not(or(b,t6))))),
introduced(tautology,[refl,[$fot(not(and(or(b,t6),or(t4,not(or(b,t6))))))]]) ).
cnf(refute_0_21337,plain,
( and(or(b,t6),or(t4,not(or(b,t6)))) != and(t4,or(b,t6))
| not(and(or(b,t6),or(t4,not(or(b,t6))))) != not(and(or(b,t6),or(t4,not(or(b,t6)))))
| not(and(or(b,t6),or(t4,not(or(b,t6))))) = not(and(t4,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(b,t6),or(t4,not(or(b,t6))))),not(and(or(b,t6),or(t4,not(or(b,t6)))))) ),[1,0],$fot(and(t4,or(b,t6)))]]) ).
cnf(refute_0_21338,plain,
( and(or(b,t6),or(t4,not(or(b,t6)))) != and(t4,or(b,t6))
| not(and(or(b,t6),or(t4,not(or(b,t6))))) = not(and(t4,or(b,t6))) ),
inference(resolve,[$cnf( $equal(not(and(or(b,t6),or(t4,not(or(b,t6))))),not(and(or(b,t6),or(t4,not(or(b,t6)))))) )],[refute_0_21336,refute_0_21337]) ).
cnf(refute_0_21339,plain,
not(and(or(b,t6),or(t4,not(or(b,t6))))) = not(and(t4,or(b,t6))),
inference(resolve,[$cnf( $equal(and(or(b,t6),or(t4,not(or(b,t6)))),and(t4,or(b,t6))) )],[refute_0_21335,refute_0_21338]) ).
cnf(refute_0_21340,plain,
or(not(or(b,t6)),and(not(t4),or(b,t6))) = not(and(or(b,t6),or(t4,not(or(b,t6))))),
inference(subst,[],[refute_0_1337:[bind(X,$fot(or(b,t6))),bind(X_78,$fot(or(b,t6))),bind(X_79,$fot(t4))]]) ).
cnf(refute_0_21341,plain,
( not(and(or(b,t6),or(t4,not(or(b,t6))))) != not(and(t4,or(b,t6)))
| or(not(or(b,t6)),and(not(t4),or(b,t6))) != not(and(or(b,t6),or(t4,not(or(b,t6)))))
| or(not(or(b,t6)),and(not(t4),or(b,t6))) = not(and(t4,or(b,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(or(b,t6)),and(not(t4),or(b,t6))))),bind(Y0,$fot(not(and(or(b,t6),or(t4,not(or(b,t6))))))),bind(Z0,$fot(not(and(t4,or(b,t6)))))]]) ).
cnf(refute_0_21342,plain,
( not(and(or(b,t6),or(t4,not(or(b,t6))))) != not(and(t4,or(b,t6)))
| or(not(or(b,t6)),and(not(t4),or(b,t6))) = not(and(t4,or(b,t6))) ),
inference(resolve,[$cnf( $equal(or(not(or(b,t6)),and(not(t4),or(b,t6))),not(and(or(b,t6),or(t4,not(or(b,t6)))))) )],[refute_0_21340,refute_0_21341]) ).
cnf(refute_0_21343,plain,
or(not(or(b,t6)),and(not(t4),or(b,t6))) = not(and(t4,or(b,t6))),
inference(resolve,[$cnf( $equal(not(and(or(b,t6),or(t4,not(or(b,t6))))),not(and(t4,or(b,t6)))) )],[refute_0_21339,refute_0_21342]) ).
cnf(refute_0_21344,plain,
( or(not(or(b,t6)),and(not(t4),or(b,t6))) != not(and(t4,or(b,t6)))
| or(not(or(b,t6)),and(not(t4),or(b,t6))) != xor(t4,or(b,t6))
| not(and(t4,or(b,t6))) = xor(t4,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(or(b,t6)),and(not(t4),or(b,t6))),xor(t4,or(b,t6))) ),[0],$fot(not(and(t4,or(b,t6))))]]) ).
cnf(refute_0_21345,plain,
( or(not(or(b,t6)),and(not(t4),or(b,t6))) != xor(t4,or(b,t6))
| not(and(t4,or(b,t6))) = xor(t4,or(b,t6)) ),
inference(resolve,[$cnf( $equal(or(not(or(b,t6)),and(not(t4),or(b,t6))),not(and(t4,or(b,t6)))) )],[refute_0_21343,refute_0_21344]) ).
cnf(refute_0_21346,plain,
not(and(t4,or(b,t6))) = xor(t4,or(b,t6)),
inference(resolve,[$cnf( $equal(or(not(or(b,t6)),and(not(t4),or(b,t6))),xor(t4,or(b,t6))) )],[refute_0_21327,refute_0_21345]) ).
cnf(refute_0_21347,plain,
( not(and(t4,or(b,t6))) != xor(t4,or(b,t6))
| or(t6,not(and(t4,or(b,t6)))) != or(t6,not(and(t4,and(t4,or(b,t6)))))
| or(t6,xor(t4,or(b,t6))) = or(t6,not(and(t4,and(t4,or(b,t6))))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,not(and(t4,or(b,t6)))),or(t6,not(and(t4,and(t4,or(b,t6)))))) ),[0,1],$fot(xor(t4,or(b,t6)))]]) ).
cnf(refute_0_21348,plain,
( or(t6,not(and(t4,or(b,t6)))) != or(t6,not(and(t4,and(t4,or(b,t6)))))
| or(t6,xor(t4,or(b,t6))) = or(t6,not(and(t4,and(t4,or(b,t6))))) ),
inference(resolve,[$cnf( $equal(not(and(t4,or(b,t6))),xor(t4,or(b,t6))) )],[refute_0_21346,refute_0_21347]) ).
cnf(refute_0_21349,plain,
or(t6,xor(t4,or(b,t6))) = or(t6,not(and(t4,and(t4,or(b,t6))))),
inference(resolve,[$cnf( $equal(or(t6,not(and(t4,or(b,t6)))),or(t6,not(and(t4,and(t4,or(b,t6)))))) )],[refute_0_21270,refute_0_21348]) ).
cnf(refute_0_21350,plain,
not(and(or(carry,t2),not(t6))) = not(and(not(t6),or(carry,t2))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(not(t6))),bind(X_32,$fot(or(carry,t2)))]]) ).
cnf(refute_0_21351,plain,
( and(not(t6),or(carry,t2)) != xor(t6,or(carry,t2))
| not(and(or(carry,t2),not(t6))) != not(and(not(t6),or(carry,t2)))
| not(and(or(carry,t2),not(t6))) = not(xor(t6,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(carry,t2),not(t6))),not(and(not(t6),or(carry,t2)))) ),[1,0],$fot(xor(t6,or(carry,t2)))]]) ).
cnf(refute_0_21352,plain,
( not(and(or(carry,t2),not(t6))) != not(and(not(t6),or(carry,t2)))
| not(and(or(carry,t2),not(t6))) = not(xor(t6,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(not(t6),or(carry,t2)),xor(t6,or(carry,t2))) )],[refute_0_21229,refute_0_21351]) ).
cnf(refute_0_21353,plain,
not(and(or(carry,t2),not(t6))) = not(xor(t6,or(carry,t2))),
inference(resolve,[$cnf( $equal(not(and(or(carry,t2),not(t6))),not(and(not(t6),or(carry,t2)))) )],[refute_0_21350,refute_0_21352]) ).
cnf(refute_0_21354,plain,
not(and(not(t6),or(carry,t2))) = or(t6,not(or(carry,t2))),
inference(subst,[],[refute_0_787:[bind(X,$fot(t6)),bind(X_32,$fot(or(carry,t2)))]]) ).
cnf(refute_0_21355,plain,
( not(and(not(t6),or(carry,t2))) != or(t6,not(or(carry,t2)))
| not(and(or(carry,t2),not(t6))) != not(and(not(t6),or(carry,t2)))
| not(and(or(carry,t2),not(t6))) = or(t6,not(or(carry,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(or(carry,t2),not(t6))))),bind(Y0,$fot(not(and(not(t6),or(carry,t2))))),bind(Z0,$fot(or(t6,not(or(carry,t2)))))]]) ).
cnf(refute_0_21356,plain,
( not(and(not(t6),or(carry,t2))) != or(t6,not(or(carry,t2)))
| not(and(or(carry,t2),not(t6))) = or(t6,not(or(carry,t2))) ),
inference(resolve,[$cnf( $equal(not(and(or(carry,t2),not(t6))),not(and(not(t6),or(carry,t2)))) )],[refute_0_21350,refute_0_21355]) ).
cnf(refute_0_21357,plain,
not(and(or(carry,t2),not(t6))) = or(t6,not(or(carry,t2))),
inference(resolve,[$cnf( $equal(not(and(not(t6),or(carry,t2))),or(t6,not(or(carry,t2)))) )],[refute_0_21354,refute_0_21356]) ).
cnf(refute_0_21358,plain,
( not(and(or(carry,t2),not(t6))) != not(xor(t6,or(carry,t2)))
| not(and(or(carry,t2),not(t6))) != or(t6,not(or(carry,t2)))
| or(t6,not(or(carry,t2))) = not(xor(t6,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(carry,t2),not(t6))),not(xor(t6,or(carry,t2)))) ),[0],$fot(or(t6,not(or(carry,t2))))]]) ).
cnf(refute_0_21359,plain,
( not(and(or(carry,t2),not(t6))) != not(xor(t6,or(carry,t2)))
| or(t6,not(or(carry,t2))) = not(xor(t6,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(not(and(or(carry,t2),not(t6))),or(t6,not(or(carry,t2)))) )],[refute_0_21357,refute_0_21358]) ).
cnf(refute_0_21360,plain,
or(t6,not(or(carry,t2))) = not(xor(t6,or(carry,t2))),
inference(resolve,[$cnf( $equal(not(and(or(carry,t2),not(t6))),not(xor(t6,or(carry,t2)))) )],[refute_0_21353,refute_0_21359]) ).
cnf(refute_0_21361,plain,
or(t6,not(or(carry,t2))) = or(t6,not(or(carry,t2))),
introduced(tautology,[refl,[$fot(or(t6,not(or(carry,t2))))]]) ).
cnf(refute_0_21362,plain,
( not(or(carry,t2)) != not(or(b,t6))
| or(t6,not(or(carry,t2))) != or(t6,not(or(carry,t2)))
| or(t6,not(or(carry,t2))) = or(t6,not(or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,not(or(carry,t2))),or(t6,not(or(carry,t2)))) ),[1,1],$fot(not(or(b,t6)))]]) ).
cnf(refute_0_21363,plain,
( not(or(carry,t2)) != not(or(b,t6))
| or(t6,not(or(carry,t2))) = or(t6,not(or(b,t6))) ),
inference(resolve,[$cnf( $equal(or(t6,not(or(carry,t2))),or(t6,not(or(carry,t2)))) )],[refute_0_21361,refute_0_21362]) ).
cnf(refute_0_21364,plain,
or(t6,not(or(carry,t2))) = or(t6,not(or(b,t6))),
inference(resolve,[$cnf( $equal(not(or(carry,t2)),not(or(b,t6))) )],[refute_0_20577,refute_0_21363]) ).
cnf(refute_0_21365,plain,
( or(t6,not(or(carry,t2))) != not(xor(t6,or(carry,t2)))
| or(t6,not(or(carry,t2))) != or(t6,not(or(b,t6)))
| or(t6,not(or(b,t6))) = not(xor(t6,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,not(or(carry,t2))),not(xor(t6,or(carry,t2)))) ),[0],$fot(or(t6,not(or(b,t6))))]]) ).
cnf(refute_0_21366,plain,
( or(t6,not(or(carry,t2))) != not(xor(t6,or(carry,t2)))
| or(t6,not(or(b,t6))) = not(xor(t6,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(or(t6,not(or(carry,t2))),or(t6,not(or(b,t6)))) )],[refute_0_21364,refute_0_21365]) ).
cnf(refute_0_21367,plain,
( not(xor(t6,or(carry,t2))) != not(xor(t6,or(b,t6)))
| or(t6,not(or(b,t6))) != not(xor(t6,or(carry,t2)))
| or(t6,not(or(b,t6))) = not(xor(t6,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,not(or(b,t6))),not(xor(t6,or(carry,t2)))) ),[1],$fot(not(xor(t6,or(b,t6))))]]) ).
cnf(refute_0_21368,plain,
( or(t6,not(or(b,t6))) != not(xor(t6,or(carry,t2)))
| or(t6,not(or(b,t6))) = not(xor(t6,or(b,t6))) ),
inference(resolve,[$cnf( $equal(not(xor(t6,or(carry,t2))),not(xor(t6,or(b,t6)))) )],[refute_0_21259,refute_0_21367]) ).
cnf(refute_0_21369,plain,
( or(t6,not(or(carry,t2))) != not(xor(t6,or(carry,t2)))
| or(t6,not(or(b,t6))) = not(xor(t6,or(b,t6))) ),
inference(resolve,[$cnf( $equal(or(t6,not(or(b,t6))),not(xor(t6,or(carry,t2)))) )],[refute_0_21366,refute_0_21368]) ).
cnf(refute_0_21370,plain,
or(t6,not(or(b,t6))) = not(xor(t6,or(b,t6))),
inference(resolve,[$cnf( $equal(or(t6,not(or(carry,t2))),not(xor(t6,or(carry,t2)))) )],[refute_0_21360,refute_0_21369]) ).
cnf(refute_0_21371,plain,
( or(t6,not(Y)) != or(t6,not(and(t4,Y)))
| or(t6,not(and(t4,Y))) = or(t6,not(Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(t6,not(Y)))),bind(Y0,$fot(or(t6,not(and(t4,Y)))))]]) ).
cnf(refute_0_21372,plain,
or(t6,not(and(t4,Y))) = or(t6,not(Y)),
inference(resolve,[$cnf( $equal(or(t6,not(Y)),or(t6,not(and(t4,Y)))) )],[refute_0_14898,refute_0_21371]) ).
cnf(refute_0_21373,plain,
or(t6,not(and(t4,or(b,t6)))) = or(t6,not(or(b,t6))),
inference(subst,[],[refute_0_21372:[bind(Y,$fot(or(b,t6)))]]) ).
cnf(refute_0_21374,plain,
( or(t6,not(and(t4,or(b,t6)))) != or(t6,not(or(b,t6)))
| or(t6,not(or(b,t6))) != not(xor(t6,or(b,t6)))
| or(t6,not(and(t4,or(b,t6)))) = not(xor(t6,or(b,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t6,not(and(t4,or(b,t6)))))),bind(Y0,$fot(or(t6,not(or(b,t6))))),bind(Z0,$fot(not(xor(t6,or(b,t6)))))]]) ).
cnf(refute_0_21375,plain,
( or(t6,not(or(b,t6))) != not(xor(t6,or(b,t6)))
| or(t6,not(and(t4,or(b,t6)))) = not(xor(t6,or(b,t6))) ),
inference(resolve,[$cnf( $equal(or(t6,not(and(t4,or(b,t6)))),or(t6,not(or(b,t6)))) )],[refute_0_21373,refute_0_21374]) ).
cnf(refute_0_21376,plain,
or(t6,not(and(t4,or(b,t6)))) = not(xor(t6,or(b,t6))),
inference(resolve,[$cnf( $equal(or(t6,not(or(b,t6))),not(xor(t6,or(b,t6)))) )],[refute_0_21370,refute_0_21375]) ).
cnf(refute_0_21377,plain,
or(t6,not(and(t4,and(t4,or(b,t6))))) = or(t6,not(and(t4,or(b,t6)))),
inference(subst,[],[refute_0_21372:[bind(Y,$fot(and(t4,or(b,t6))))]]) ).
cnf(refute_0_21378,plain,
( or(t6,not(and(t4,and(t4,or(b,t6))))) != or(t6,not(and(t4,or(b,t6))))
| or(t6,not(and(t4,or(b,t6)))) != not(xor(t6,or(b,t6)))
| or(t6,not(and(t4,and(t4,or(b,t6))))) = not(xor(t6,or(b,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t6,not(and(t4,and(t4,or(b,t6))))))),bind(Y0,$fot(or(t6,not(and(t4,or(b,t6)))))),bind(Z0,$fot(not(xor(t6,or(b,t6)))))]]) ).
cnf(refute_0_21379,plain,
( or(t6,not(and(t4,or(b,t6)))) != not(xor(t6,or(b,t6)))
| or(t6,not(and(t4,and(t4,or(b,t6))))) = not(xor(t6,or(b,t6))) ),
inference(resolve,[$cnf( $equal(or(t6,not(and(t4,and(t4,or(b,t6))))),or(t6,not(and(t4,or(b,t6))))) )],[refute_0_21377,refute_0_21378]) ).
cnf(refute_0_21380,plain,
or(t6,not(and(t4,and(t4,or(b,t6))))) = not(xor(t6,or(b,t6))),
inference(resolve,[$cnf( $equal(or(t6,not(and(t4,or(b,t6)))),not(xor(t6,or(b,t6)))) )],[refute_0_21376,refute_0_21379]) ).
cnf(refute_0_21381,plain,
( or(t6,not(and(t4,and(t4,or(b,t6))))) != not(xor(t6,or(b,t6)))
| or(t6,xor(t4,or(b,t6))) != or(t6,not(and(t4,and(t4,or(b,t6)))))
| or(t6,xor(t4,or(b,t6))) = not(xor(t6,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,xor(t4,or(b,t6))),or(t6,not(and(t4,and(t4,or(b,t6)))))) ),[1],$fot(not(xor(t6,or(b,t6))))]]) ).
cnf(refute_0_21382,plain,
( or(t6,xor(t4,or(b,t6))) != or(t6,not(and(t4,and(t4,or(b,t6)))))
| or(t6,xor(t4,or(b,t6))) = not(xor(t6,or(b,t6))) ),
inference(resolve,[$cnf( $equal(or(t6,not(and(t4,and(t4,or(b,t6))))),not(xor(t6,or(b,t6)))) )],[refute_0_21380,refute_0_21381]) ).
cnf(refute_0_21383,plain,
or(t6,xor(t4,or(b,t6))) = not(xor(t6,or(b,t6))),
inference(resolve,[$cnf( $equal(or(t6,xor(t4,or(b,t6))),or(t6,not(and(t4,and(t4,or(b,t6)))))) )],[refute_0_21349,refute_0_21382]) ).
cnf(refute_0_21384,plain,
or(t6,and(X_819,or(X_38,and(t5,not(X_38))))) = and(or(t6,X_819),or(t6,or(X_38,and(t5,not(X_38))))),
inference(subst,[],[and_distributive:[bind(X,$fot(t6)),bind(Y,$fot(X_819)),bind(Z,$fot(or(X_38,and(t5,not(X_38)))))]]) ).
cnf(refute_0_21385,plain,
or(or(t6,not(t5)),X_39) = or(t6,or(not(t5),X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(t6)),bind(Y,$fot(not(t5))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_21386,plain,
or(t6,and(t6,not(t5))) = t6,
inference(subst,[],[or_absorption:[bind(X,$fot(t6)),bind(Y,$fot(not(t5)))]]) ).
cnf(refute_0_21387,plain,
( and(t6,not(t5)) != not(t5)
| or(t6,and(t6,not(t5))) != t6
| or(t6,not(t5)) = t6 ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,and(t6,not(t5))),t6) ),[0,1],$fot(not(t5))]]) ).
cnf(refute_0_21388,plain,
( or(t6,and(t6,not(t5))) != t6
| or(t6,not(t5)) = t6 ),
inference(resolve,[$cnf( $equal(and(t6,not(t5)),not(t5)) )],[refute_0_2019,refute_0_21387]) ).
cnf(refute_0_21389,plain,
or(t6,not(t5)) = t6,
inference(resolve,[$cnf( $equal(or(t6,and(t6,not(t5))),t6) )],[refute_0_21386,refute_0_21388]) ).
cnf(refute_0_21390,plain,
( or(or(t6,not(t5)),X_39) != or(t6,or(not(t5),X_39))
| or(t6,not(t5)) != t6
| or(t6,X_39) = or(t6,or(not(t5),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t6,not(t5)),X_39),or(t6,or(not(t5),X_39))) ),[0,0],$fot(t6)]]) ).
cnf(refute_0_21391,plain,
( or(or(t6,not(t5)),X_39) != or(t6,or(not(t5),X_39))
| or(t6,X_39) = or(t6,or(not(t5),X_39)) ),
inference(resolve,[$cnf( $equal(or(t6,not(t5)),t6) )],[refute_0_21389,refute_0_21390]) ).
cnf(refute_0_21392,plain,
or(t6,X_39) = or(t6,or(not(t5),X_39)),
inference(resolve,[$cnf( $equal(or(or(t6,not(t5)),X_39),or(t6,or(not(t5),X_39))) )],[refute_0_21385,refute_0_21391]) ).
cnf(refute_0_21393,plain,
or(t6,or(X_38,not(or(not(t5),X_38)))) = or(t6,or(not(t5),or(X_38,not(or(not(t5),X_38))))),
inference(subst,[],[refute_0_21392:[bind(X_39,$fot(or(X_38,not(or(not(t5),X_38)))))]]) ).
cnf(refute_0_21394,plain,
or(not(t5),or(X_38,not(or(not(t5),X_38)))) = ll1,
inference(subst,[],[refute_0_137:[bind(X_37,$fot(not(t5)))]]) ).
cnf(refute_0_21395,plain,
( or(not(t5),or(X_38,not(or(not(t5),X_38)))) != ll1
| or(t6,or(X_38,not(or(not(t5),X_38)))) != or(t6,or(not(t5),or(X_38,not(or(not(t5),X_38)))))
| or(t6,or(X_38,not(or(not(t5),X_38)))) = or(t6,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,or(X_38,not(or(not(t5),X_38)))),or(t6,or(not(t5),or(X_38,not(or(not(t5),X_38)))))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_21396,plain,
( or(t6,or(X_38,not(or(not(t5),X_38)))) != or(t6,or(not(t5),or(X_38,not(or(not(t5),X_38)))))
| or(t6,or(X_38,not(or(not(t5),X_38)))) = or(t6,ll1) ),
inference(resolve,[$cnf( $equal(or(not(t5),or(X_38,not(or(not(t5),X_38)))),ll1) )],[refute_0_21394,refute_0_21395]) ).
cnf(refute_0_21397,plain,
or(t6,or(X_38,not(or(not(t5),X_38)))) = or(t6,ll1),
inference(resolve,[$cnf( $equal(or(t6,or(X_38,not(or(not(t5),X_38)))),or(t6,or(not(t5),or(X_38,not(or(not(t5),X_38)))))) )],[refute_0_21393,refute_0_21396]) ).
cnf(refute_0_21398,plain,
not(or(not(t5),X_38)) = and(t5,not(X_38)),
inference(subst,[],[refute_0_159:[bind(X,$fot(t5)),bind(X_26,$fot(X_38))]]) ).
cnf(refute_0_21399,plain,
or(X_38,not(or(not(t5),X_38))) = or(X_38,not(or(not(t5),X_38))),
introduced(tautology,[refl,[$fot(or(X_38,not(or(not(t5),X_38))))]]) ).
cnf(refute_0_21400,plain,
( not(or(not(t5),X_38)) != and(t5,not(X_38))
| or(X_38,not(or(not(t5),X_38))) != or(X_38,not(or(not(t5),X_38)))
| or(X_38,not(or(not(t5),X_38))) = or(X_38,and(t5,not(X_38))) ),
introduced(tautology,[equality,[$cnf( $equal(or(X_38,not(or(not(t5),X_38))),or(X_38,not(or(not(t5),X_38)))) ),[1,1],$fot(and(t5,not(X_38)))]]) ).
cnf(refute_0_21401,plain,
( not(or(not(t5),X_38)) != and(t5,not(X_38))
| or(X_38,not(or(not(t5),X_38))) = or(X_38,and(t5,not(X_38))) ),
inference(resolve,[$cnf( $equal(or(X_38,not(or(not(t5),X_38))),or(X_38,not(or(not(t5),X_38)))) )],[refute_0_21399,refute_0_21400]) ).
cnf(refute_0_21402,plain,
or(X_38,not(or(not(t5),X_38))) = or(X_38,and(t5,not(X_38))),
inference(resolve,[$cnf( $equal(not(or(not(t5),X_38)),and(t5,not(X_38))) )],[refute_0_21398,refute_0_21401]) ).
cnf(refute_0_21403,plain,
or(t6,or(X_38,not(or(not(t5),X_38)))) = or(t6,or(X_38,not(or(not(t5),X_38)))),
introduced(tautology,[refl,[$fot(or(t6,or(X_38,not(or(not(t5),X_38)))))]]) ).
cnf(refute_0_21404,plain,
( or(X_38,not(or(not(t5),X_38))) != or(X_38,and(t5,not(X_38)))
| or(t6,or(X_38,not(or(not(t5),X_38)))) != or(t6,or(X_38,not(or(not(t5),X_38))))
| or(t6,or(X_38,not(or(not(t5),X_38)))) = or(t6,or(X_38,and(t5,not(X_38)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,or(X_38,not(or(not(t5),X_38)))),or(t6,or(X_38,not(or(not(t5),X_38))))) ),[1,1],$fot(or(X_38,and(t5,not(X_38))))]]) ).
cnf(refute_0_21405,plain,
( or(X_38,not(or(not(t5),X_38))) != or(X_38,and(t5,not(X_38)))
| or(t6,or(X_38,not(or(not(t5),X_38)))) = or(t6,or(X_38,and(t5,not(X_38)))) ),
inference(resolve,[$cnf( $equal(or(t6,or(X_38,not(or(not(t5),X_38)))),or(t6,or(X_38,not(or(not(t5),X_38))))) )],[refute_0_21403,refute_0_21404]) ).
cnf(refute_0_21406,plain,
or(t6,or(X_38,not(or(not(t5),X_38)))) = or(t6,or(X_38,and(t5,not(X_38)))),
inference(resolve,[$cnf( $equal(or(X_38,not(or(not(t5),X_38))),or(X_38,and(t5,not(X_38)))) )],[refute_0_21402,refute_0_21405]) ).
cnf(refute_0_21407,plain,
( or(t6,or(X_38,not(or(not(t5),X_38)))) != or(t6,ll1)
| or(t6,or(X_38,not(or(not(t5),X_38)))) != or(t6,or(X_38,and(t5,not(X_38))))
| or(t6,or(X_38,and(t5,not(X_38)))) = or(t6,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,or(X_38,not(or(not(t5),X_38)))),or(t6,ll1)) ),[0],$fot(or(t6,or(X_38,and(t5,not(X_38)))))]]) ).
cnf(refute_0_21408,plain,
( or(t6,or(X_38,not(or(not(t5),X_38)))) != or(t6,ll1)
| or(t6,or(X_38,and(t5,not(X_38)))) = or(t6,ll1) ),
inference(resolve,[$cnf( $equal(or(t6,or(X_38,not(or(not(t5),X_38)))),or(t6,or(X_38,and(t5,not(X_38))))) )],[refute_0_21406,refute_0_21407]) ).
cnf(refute_0_21409,plain,
( or(t6,ll1) != ll1
| or(t6,or(X_38,and(t5,not(X_38)))) != or(t6,ll1)
| or(t6,or(X_38,and(t5,not(X_38)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,or(X_38,and(t5,not(X_38)))),or(t6,ll1)) ),[1],$fot(ll1)]]) ).
cnf(refute_0_21410,plain,
( or(t6,or(X_38,and(t5,not(X_38)))) != or(t6,ll1)
| or(t6,or(X_38,and(t5,not(X_38)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t6,ll1),ll1) )],[refute_0_7329,refute_0_21409]) ).
cnf(refute_0_21411,plain,
( or(t6,or(X_38,not(or(not(t5),X_38)))) != or(t6,ll1)
| or(t6,or(X_38,and(t5,not(X_38)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t6,or(X_38,and(t5,not(X_38)))),or(t6,ll1)) )],[refute_0_21408,refute_0_21410]) ).
cnf(refute_0_21412,plain,
or(t6,or(X_38,and(t5,not(X_38)))) = ll1,
inference(resolve,[$cnf( $equal(or(t6,or(X_38,not(or(not(t5),X_38)))),or(t6,ll1)) )],[refute_0_21397,refute_0_21411]) ).
cnf(refute_0_21413,plain,
( or(t6,and(X_819,or(X_38,and(t5,not(X_38))))) != and(or(t6,X_819),or(t6,or(X_38,and(t5,not(X_38)))))
| or(t6,or(X_38,and(t5,not(X_38)))) != ll1
| or(t6,and(X_819,or(X_38,and(t5,not(X_38))))) = and(or(t6,X_819),ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,and(X_819,or(X_38,and(t5,not(X_38))))),and(or(t6,X_819),or(t6,or(X_38,and(t5,not(X_38)))))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_21414,plain,
( or(t6,and(X_819,or(X_38,and(t5,not(X_38))))) != and(or(t6,X_819),or(t6,or(X_38,and(t5,not(X_38)))))
| or(t6,and(X_819,or(X_38,and(t5,not(X_38))))) = and(or(t6,X_819),ll1) ),
inference(resolve,[$cnf( $equal(or(t6,or(X_38,and(t5,not(X_38)))),ll1) )],[refute_0_21412,refute_0_21413]) ).
cnf(refute_0_21415,plain,
or(t6,and(X_819,or(X_38,and(t5,not(X_38))))) = and(or(t6,X_819),ll1),
inference(resolve,[$cnf( $equal(or(t6,and(X_819,or(X_38,and(t5,not(X_38))))),and(or(t6,X_819),or(t6,or(X_38,and(t5,not(X_38)))))) )],[refute_0_21384,refute_0_21414]) ).
cnf(refute_0_21416,plain,
and(ll1,or(t6,X_819)) = or(t6,X_819),
inference(subst,[],[refute_0_64:[bind(X,$fot(or(t6,X_819)))]]) ).
cnf(refute_0_21417,plain,
and(or(t6,X_819),ll1) = and(ll1,or(t6,X_819)),
inference(subst,[],[refute_0_4252:[bind(X_14,$fot(ll1)),bind(X_669,$fot(or(t6,X_819)))]]) ).
cnf(refute_0_21418,plain,
( and(ll1,or(t6,X_819)) != or(t6,X_819)
| and(or(t6,X_819),ll1) != and(ll1,or(t6,X_819))
| and(or(t6,X_819),ll1) = or(t6,X_819) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(or(t6,X_819),ll1))),bind(Y0,$fot(and(ll1,or(t6,X_819)))),bind(Z0,$fot(or(t6,X_819)))]]) ).
cnf(refute_0_21419,plain,
( and(ll1,or(t6,X_819)) != or(t6,X_819)
| and(or(t6,X_819),ll1) = or(t6,X_819) ),
inference(resolve,[$cnf( $equal(and(or(t6,X_819),ll1),and(ll1,or(t6,X_819))) )],[refute_0_21417,refute_0_21418]) ).
cnf(refute_0_21420,plain,
and(or(t6,X_819),ll1) = or(t6,X_819),
inference(resolve,[$cnf( $equal(and(ll1,or(t6,X_819)),or(t6,X_819)) )],[refute_0_21416,refute_0_21419]) ).
cnf(refute_0_21421,plain,
( and(or(t6,X_819),ll1) != or(t6,X_819)
| or(t6,and(X_819,or(X_38,and(t5,not(X_38))))) != and(or(t6,X_819),ll1)
| or(t6,and(X_819,or(X_38,and(t5,not(X_38))))) = or(t6,X_819) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,and(X_819,or(X_38,and(t5,not(X_38))))),and(or(t6,X_819),ll1)) ),[1],$fot(or(t6,X_819))]]) ).
cnf(refute_0_21422,plain,
( or(t6,and(X_819,or(X_38,and(t5,not(X_38))))) != and(or(t6,X_819),ll1)
| or(t6,and(X_819,or(X_38,and(t5,not(X_38))))) = or(t6,X_819) ),
inference(resolve,[$cnf( $equal(and(or(t6,X_819),ll1),or(t6,X_819)) )],[refute_0_21420,refute_0_21421]) ).
cnf(refute_0_21423,plain,
or(t6,and(X_819,or(X_38,and(t5,not(X_38))))) = or(t6,X_819),
inference(resolve,[$cnf( $equal(or(t6,and(X_819,or(X_38,and(t5,not(X_38))))),and(or(t6,X_819),ll1)) )],[refute_0_21415,refute_0_21422]) ).
cnf(refute_0_21424,plain,
or(X_38,and(t5,not(X_38))) = or(X_38,t5),
inference(subst,[],[refute_0_8405:[bind(X_818,$fot(X_38)),bind(X_819,$fot(t5))]]) ).
cnf(refute_0_21425,plain,
and(X_819,or(X_38,and(t5,not(X_38)))) = and(X_819,or(X_38,and(t5,not(X_38)))),
introduced(tautology,[refl,[$fot(and(X_819,or(X_38,and(t5,not(X_38)))))]]) ).
cnf(refute_0_21426,plain,
( and(X_819,or(X_38,and(t5,not(X_38)))) != and(X_819,or(X_38,and(t5,not(X_38))))
| or(X_38,and(t5,not(X_38))) != or(X_38,t5)
| and(X_819,or(X_38,and(t5,not(X_38)))) = and(X_819,or(X_38,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(X_819,or(X_38,and(t5,not(X_38)))),and(X_819,or(X_38,and(t5,not(X_38))))) ),[1,1],$fot(or(X_38,t5))]]) ).
cnf(refute_0_21427,plain,
( or(X_38,and(t5,not(X_38))) != or(X_38,t5)
| and(X_819,or(X_38,and(t5,not(X_38)))) = and(X_819,or(X_38,t5)) ),
inference(resolve,[$cnf( $equal(and(X_819,or(X_38,and(t5,not(X_38)))),and(X_819,or(X_38,and(t5,not(X_38))))) )],[refute_0_21425,refute_0_21426]) ).
cnf(refute_0_21428,plain,
and(X_819,or(X_38,and(t5,not(X_38)))) = and(X_819,or(X_38,t5)),
inference(resolve,[$cnf( $equal(or(X_38,and(t5,not(X_38))),or(X_38,t5)) )],[refute_0_21424,refute_0_21427]) ).
cnf(refute_0_21429,plain,
or(t6,and(X_819,or(X_38,and(t5,not(X_38))))) = or(t6,and(X_819,or(X_38,and(t5,not(X_38))))),
introduced(tautology,[refl,[$fot(or(t6,and(X_819,or(X_38,and(t5,not(X_38))))))]]) ).
cnf(refute_0_21430,plain,
( and(X_819,or(X_38,and(t5,not(X_38)))) != and(X_819,or(X_38,t5))
| or(t6,and(X_819,or(X_38,and(t5,not(X_38))))) != or(t6,and(X_819,or(X_38,and(t5,not(X_38)))))
| or(t6,and(X_819,or(X_38,and(t5,not(X_38))))) = or(t6,and(X_819,or(X_38,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,and(X_819,or(X_38,and(t5,not(X_38))))),or(t6,and(X_819,or(X_38,and(t5,not(X_38)))))) ),[1,1],$fot(and(X_819,or(X_38,t5)))]]) ).
cnf(refute_0_21431,plain,
( and(X_819,or(X_38,and(t5,not(X_38)))) != and(X_819,or(X_38,t5))
| or(t6,and(X_819,or(X_38,and(t5,not(X_38))))) = or(t6,and(X_819,or(X_38,t5))) ),
inference(resolve,[$cnf( $equal(or(t6,and(X_819,or(X_38,and(t5,not(X_38))))),or(t6,and(X_819,or(X_38,and(t5,not(X_38)))))) )],[refute_0_21429,refute_0_21430]) ).
cnf(refute_0_21432,plain,
or(t6,and(X_819,or(X_38,and(t5,not(X_38))))) = or(t6,and(X_819,or(X_38,t5))),
inference(resolve,[$cnf( $equal(and(X_819,or(X_38,and(t5,not(X_38)))),and(X_819,or(X_38,t5))) )],[refute_0_21428,refute_0_21431]) ).
cnf(refute_0_21433,plain,
( or(t6,and(X_819,or(X_38,and(t5,not(X_38))))) != or(t6,X_819)
| or(t6,and(X_819,or(X_38,and(t5,not(X_38))))) != or(t6,and(X_819,or(X_38,t5)))
| or(t6,and(X_819,or(X_38,t5))) = or(t6,X_819) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,and(X_819,or(X_38,and(t5,not(X_38))))),or(t6,X_819)) ),[0],$fot(or(t6,and(X_819,or(X_38,t5))))]]) ).
cnf(refute_0_21434,plain,
( or(t6,and(X_819,or(X_38,and(t5,not(X_38))))) != or(t6,X_819)
| or(t6,and(X_819,or(X_38,t5))) = or(t6,X_819) ),
inference(resolve,[$cnf( $equal(or(t6,and(X_819,or(X_38,and(t5,not(X_38))))),or(t6,and(X_819,or(X_38,t5)))) )],[refute_0_21432,refute_0_21433]) ).
cnf(refute_0_21435,plain,
or(t6,and(X_819,or(X_38,t5))) = or(t6,X_819),
inference(resolve,[$cnf( $equal(or(t6,and(X_819,or(X_38,and(t5,not(X_38))))),or(t6,X_819)) )],[refute_0_21423,refute_0_21434]) ).
cnf(refute_0_21436,plain,
or(t6,and(t3,or(b,t5))) = or(t6,t3),
inference(subst,[],[refute_0_21435:[bind(X_38,$fot(b)),bind(X_819,$fot(t3))]]) ).
cnf(refute_0_21437,plain,
( or(t6,and(t3,or(b,t5))) != or(t6,t3)
| or(t6,t3) != or(a,t6)
| or(t6,and(t3,or(b,t5))) = or(a,t6) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t6,and(t3,or(b,t5))))),bind(Y0,$fot(or(t6,t3))),bind(Z0,$fot(or(a,t6)))]]) ).
cnf(refute_0_21438,plain,
( or(t6,t3) != or(a,t6)
| or(t6,and(t3,or(b,t5))) = or(a,t6) ),
inference(resolve,[$cnf( $equal(or(t6,and(t3,or(b,t5))),or(t6,t3)) )],[refute_0_21436,refute_0_21437]) ).
cnf(refute_0_21439,plain,
or(t6,and(t3,or(b,t5))) = or(a,t6),
inference(resolve,[$cnf( $equal(or(t6,t3),or(a,t6)) )],[refute_0_17969,refute_0_21438]) ).
cnf(refute_0_21440,plain,
and(t3,or(t2,and(t3,not(t6)))) = and(t3,or(t2,and(t3,not(t6)))),
introduced(tautology,[refl,[$fot(and(t3,or(t2,and(t3,not(t6)))))]]) ).
cnf(refute_0_21441,plain,
( and(t3,or(t2,and(t3,not(t6)))) != and(t3,or(t2,and(t3,not(t6))))
| or(t2,and(t3,not(t6))) != xor(t4,and(t3,t6))
| and(t3,or(t2,and(t3,not(t6)))) = and(t3,xor(t4,and(t3,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,or(t2,and(t3,not(t6)))),and(t3,or(t2,and(t3,not(t6))))) ),[1,1],$fot(xor(t4,and(t3,t6)))]]) ).
cnf(refute_0_21442,plain,
( or(t2,and(t3,not(t6))) != xor(t4,and(t3,t6))
| and(t3,or(t2,and(t3,not(t6)))) = and(t3,xor(t4,and(t3,t6))) ),
inference(resolve,[$cnf( $equal(and(t3,or(t2,and(t3,not(t6)))),and(t3,or(t2,and(t3,not(t6))))) )],[refute_0_21440,refute_0_21441]) ).
cnf(refute_0_21443,plain,
and(t3,or(t2,and(t3,not(t6)))) = and(t3,xor(t4,and(t3,t6))),
inference(resolve,[$cnf( $equal(or(t2,and(t3,not(t6))),xor(t4,and(t3,t6))) )],[refute_0_20466,refute_0_21442]) ).
cnf(refute_0_21444,plain,
( and(t3,or(t2,and(t3,not(t6)))) != and(t3,xor(t4,and(t3,t6)))
| and(t3,or(t2,and(t3,not(t6)))) != xor(t4,or(t6,not(t3)))
| and(t3,xor(t4,and(t3,t6))) = xor(t4,or(t6,not(t3))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,or(t2,and(t3,not(t6)))),xor(t4,or(t6,not(t3)))) ),[0],$fot(and(t3,xor(t4,and(t3,t6))))]]) ).
cnf(refute_0_21445,plain,
( and(t3,or(t2,and(t3,not(t6)))) != xor(t4,or(t6,not(t3)))
| and(t3,xor(t4,and(t3,t6))) = xor(t4,or(t6,not(t3))) ),
inference(resolve,[$cnf( $equal(and(t3,or(t2,and(t3,not(t6)))),and(t3,xor(t4,and(t3,t6)))) )],[refute_0_21443,refute_0_21444]) ).
cnf(refute_0_21446,plain,
and(t3,xor(t4,and(t3,t6))) = xor(t4,or(t6,not(t3))),
inference(resolve,[$cnf( $equal(and(t3,or(t2,and(t3,not(t6)))),xor(t4,or(t6,not(t3)))) )],[refute_0_20934,refute_0_21445]) ).
cnf(refute_0_21447,plain,
not(xor(t3,or(t2,and(t3,not(t6))))) = xor(t3,not(or(t2,and(t3,not(t6))))),
inference(subst,[],[refute_0_1137:[bind(X_333,$fot(t3)),bind(X_334,$fot(or(t2,and(t3,not(t6)))))]]) ).
cnf(refute_0_21448,plain,
( not(xor(t3,or(t2,and(t3,not(t6))))) != xor(t3,not(or(t2,and(t3,not(t6)))))
| xor(t3,or(t2,and(t3,not(t6)))) != xor(t4,and(t3,not(t6)))
| not(xor(t4,and(t3,not(t6)))) = xor(t3,not(or(t2,and(t3,not(t6))))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t3,or(t2,and(t3,not(t6))))),xor(t3,not(or(t2,and(t3,not(t6)))))) ),[0,0],$fot(xor(t4,and(t3,not(t6))))]]) ).
cnf(refute_0_21449,plain,
( not(xor(t3,or(t2,and(t3,not(t6))))) != xor(t3,not(or(t2,and(t3,not(t6)))))
| not(xor(t4,and(t3,not(t6)))) = xor(t3,not(or(t2,and(t3,not(t6))))) ),
inference(resolve,[$cnf( $equal(xor(t3,or(t2,and(t3,not(t6)))),xor(t4,and(t3,not(t6)))) )],[refute_0_20344,refute_0_21448]) ).
cnf(refute_0_21450,plain,
not(xor(t4,and(t3,not(t6)))) = xor(t3,not(or(t2,and(t3,not(t6))))),
inference(resolve,[$cnf( $equal(not(xor(t3,or(t2,and(t3,not(t6))))),xor(t3,not(or(t2,and(t3,not(t6)))))) )],[refute_0_21447,refute_0_21449]) ).
cnf(refute_0_21451,plain,
not(xor(t3,or(t2,and(t3,not(t6))))) = xor(t3,xor(t2,or(t6,not(t3)))),
inference(subst,[],[refute_0_20380:[bind(X_377,$fot(t3))]]) ).
cnf(refute_0_21452,plain,
( not(xor(t3,or(t2,and(t3,not(t6))))) != xor(t3,xor(t2,or(t6,not(t3))))
| xor(t3,xor(t2,or(t6,not(t3)))) != xor(t4,or(t6,not(t3)))
| not(xor(t3,or(t2,and(t3,not(t6))))) = xor(t4,or(t6,not(t3))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t3,or(t2,and(t3,not(t6))))))),bind(Y0,$fot(xor(t3,xor(t2,or(t6,not(t3)))))),bind(Z0,$fot(xor(t4,or(t6,not(t3)))))]]) ).
cnf(refute_0_21453,plain,
( xor(t3,xor(t2,or(t6,not(t3)))) != xor(t4,or(t6,not(t3)))
| not(xor(t3,or(t2,and(t3,not(t6))))) = xor(t4,or(t6,not(t3))) ),
inference(resolve,[$cnf( $equal(not(xor(t3,or(t2,and(t3,not(t6))))),xor(t3,xor(t2,or(t6,not(t3))))) )],[refute_0_21451,refute_0_21452]) ).
cnf(refute_0_21454,plain,
not(xor(t3,or(t2,and(t3,not(t6))))) = xor(t4,or(t6,not(t3))),
inference(resolve,[$cnf( $equal(xor(t3,xor(t2,or(t6,not(t3)))),xor(t4,or(t6,not(t3)))) )],[refute_0_20320,refute_0_21453]) ).
cnf(refute_0_21455,plain,
xor(t3,not(or(t2,and(t3,not(t6))))) = not(xor(t3,or(t2,and(t3,not(t6))))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t3)),bind(X_334,$fot(or(t2,and(t3,not(t6)))))]]) ).
cnf(refute_0_21456,plain,
( not(xor(t3,or(t2,and(t3,not(t6))))) != xor(t4,or(t6,not(t3)))
| xor(t3,not(or(t2,and(t3,not(t6))))) != not(xor(t3,or(t2,and(t3,not(t6)))))
| xor(t3,not(or(t2,and(t3,not(t6))))) = xor(t4,or(t6,not(t3))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t3,not(or(t2,and(t3,not(t6))))))),bind(Y0,$fot(not(xor(t3,or(t2,and(t3,not(t6))))))),bind(Z0,$fot(xor(t4,or(t6,not(t3)))))]]) ).
cnf(refute_0_21457,plain,
( not(xor(t3,or(t2,and(t3,not(t6))))) != xor(t4,or(t6,not(t3)))
| xor(t3,not(or(t2,and(t3,not(t6))))) = xor(t4,or(t6,not(t3))) ),
inference(resolve,[$cnf( $equal(xor(t3,not(or(t2,and(t3,not(t6))))),not(xor(t3,or(t2,and(t3,not(t6)))))) )],[refute_0_21455,refute_0_21456]) ).
cnf(refute_0_21458,plain,
xor(t3,not(or(t2,and(t3,not(t6))))) = xor(t4,or(t6,not(t3))),
inference(resolve,[$cnf( $equal(not(xor(t3,or(t2,and(t3,not(t6))))),xor(t4,or(t6,not(t3)))) )],[refute_0_21454,refute_0_21457]) ).
cnf(refute_0_21459,plain,
( not(xor(t4,and(t3,not(t6)))) != xor(t3,not(or(t2,and(t3,not(t6)))))
| xor(t3,not(or(t2,and(t3,not(t6))))) != xor(t4,or(t6,not(t3)))
| not(xor(t4,and(t3,not(t6)))) = xor(t4,or(t6,not(t3))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(t4,and(t3,not(t6)))),xor(t4,or(t6,not(t3)))) ),[0],$fot(xor(t3,not(or(t2,and(t3,not(t6))))))]]) ).
cnf(refute_0_21460,plain,
( not(xor(t4,and(t3,not(t6)))) != xor(t3,not(or(t2,and(t3,not(t6)))))
| not(xor(t4,and(t3,not(t6)))) = xor(t4,or(t6,not(t3))) ),
inference(resolve,[$cnf( $equal(xor(t3,not(or(t2,and(t3,not(t6))))),xor(t4,or(t6,not(t3)))) )],[refute_0_21458,refute_0_21459]) ).
cnf(refute_0_21461,plain,
not(xor(t4,and(t3,not(t6)))) = xor(t4,or(t6,not(t3))),
inference(resolve,[$cnf( $equal(not(xor(t4,and(t3,not(t6)))),xor(t3,not(or(t2,and(t3,not(t6)))))) )],[refute_0_21450,refute_0_21460]) ).
cnf(refute_0_21462,plain,
xor(t3,xor(t4,and(t3,t6))) = xor(t2,and(t3,t6)),
inference(subst,[],[refute_0_2264:[bind(Z,$fot(and(t3,t6)))]]) ).
cnf(refute_0_21463,plain,
xor(t3,or(t2,and(t3,not(t6)))) = xor(t3,or(t2,and(t3,not(t6)))),
introduced(tautology,[refl,[$fot(xor(t3,or(t2,and(t3,not(t6)))))]]) ).
cnf(refute_0_21464,plain,
( or(t2,and(t3,not(t6))) != xor(t4,and(t3,t6))
| xor(t3,or(t2,and(t3,not(t6)))) != xor(t3,or(t2,and(t3,not(t6))))
| xor(t3,or(t2,and(t3,not(t6)))) = xor(t3,xor(t4,and(t3,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,or(t2,and(t3,not(t6)))),xor(t3,or(t2,and(t3,not(t6))))) ),[1,1],$fot(xor(t4,and(t3,t6)))]]) ).
cnf(refute_0_21465,plain,
( or(t2,and(t3,not(t6))) != xor(t4,and(t3,t6))
| xor(t3,or(t2,and(t3,not(t6)))) = xor(t3,xor(t4,and(t3,t6))) ),
inference(resolve,[$cnf( $equal(xor(t3,or(t2,and(t3,not(t6)))),xor(t3,or(t2,and(t3,not(t6))))) )],[refute_0_21463,refute_0_21464]) ).
cnf(refute_0_21466,plain,
xor(t3,or(t2,and(t3,not(t6)))) = xor(t3,xor(t4,and(t3,t6))),
inference(resolve,[$cnf( $equal(or(t2,and(t3,not(t6))),xor(t4,and(t3,t6))) )],[refute_0_20466,refute_0_21465]) ).
cnf(refute_0_21467,plain,
( xor(t3,or(t2,and(t3,not(t6)))) != xor(t3,xor(t4,and(t3,t6)))
| xor(t3,xor(t4,and(t3,t6))) != xor(t2,and(t3,t6))
| xor(t3,or(t2,and(t3,not(t6)))) = xor(t2,and(t3,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t3,or(t2,and(t3,not(t6)))))),bind(Y0,$fot(xor(t3,xor(t4,and(t3,t6))))),bind(Z0,$fot(xor(t2,and(t3,t6))))]]) ).
cnf(refute_0_21468,plain,
( xor(t3,xor(t4,and(t3,t6))) != xor(t2,and(t3,t6))
| xor(t3,or(t2,and(t3,not(t6)))) = xor(t2,and(t3,t6)) ),
inference(resolve,[$cnf( $equal(xor(t3,or(t2,and(t3,not(t6)))),xor(t3,xor(t4,and(t3,t6)))) )],[refute_0_21466,refute_0_21467]) ).
cnf(refute_0_21469,plain,
xor(t3,or(t2,and(t3,not(t6)))) = xor(t2,and(t3,t6)),
inference(resolve,[$cnf( $equal(xor(t3,xor(t4,and(t3,t6))),xor(t2,and(t3,t6))) )],[refute_0_21462,refute_0_21468]) ).
cnf(refute_0_21470,plain,
( xor(t3,or(t2,and(t3,not(t6)))) != xor(t2,and(t3,t6))
| xor(t3,or(t2,and(t3,not(t6)))) != xor(t4,and(t3,not(t6)))
| xor(t2,and(t3,t6)) = xor(t4,and(t3,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,or(t2,and(t3,not(t6)))),xor(t4,and(t3,not(t6)))) ),[0],$fot(xor(t2,and(t3,t6)))]]) ).
cnf(refute_0_21471,plain,
( xor(t3,or(t2,and(t3,not(t6)))) != xor(t4,and(t3,not(t6)))
| xor(t2,and(t3,t6)) = xor(t4,and(t3,not(t6))) ),
inference(resolve,[$cnf( $equal(xor(t3,or(t2,and(t3,not(t6)))),xor(t2,and(t3,t6))) )],[refute_0_21469,refute_0_21470]) ).
cnf(refute_0_21472,plain,
xor(t2,and(t3,t6)) = xor(t4,and(t3,not(t6))),
inference(resolve,[$cnf( $equal(xor(t3,or(t2,and(t3,not(t6)))),xor(t4,and(t3,not(t6)))) )],[refute_0_20344,refute_0_21471]) ).
cnf(refute_0_21473,plain,
( xor(t2,and(t3,t6)) != xor(t4,and(t3,not(t6)))
| xor(t4,and(t3,not(t6))) = xor(t2,and(t3,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t2,and(t3,t6)))),bind(Y0,$fot(xor(t4,and(t3,not(t6)))))]]) ).
cnf(refute_0_21474,plain,
xor(t4,and(t3,not(t6))) = xor(t2,and(t3,t6)),
inference(resolve,[$cnf( $equal(xor(t2,and(t3,t6)),xor(t4,and(t3,not(t6)))) )],[refute_0_21472,refute_0_21473]) ).
cnf(refute_0_21475,plain,
not(xor(t4,and(t3,not(t6)))) = not(xor(t4,and(t3,not(t6)))),
introduced(tautology,[refl,[$fot(not(xor(t4,and(t3,not(t6)))))]]) ).
cnf(refute_0_21476,plain,
( not(xor(t4,and(t3,not(t6)))) != not(xor(t4,and(t3,not(t6))))
| xor(t4,and(t3,not(t6))) != xor(t2,and(t3,t6))
| not(xor(t4,and(t3,not(t6)))) = not(xor(t2,and(t3,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t4,and(t3,not(t6)))),not(xor(t4,and(t3,not(t6))))) ),[1,0],$fot(xor(t2,and(t3,t6)))]]) ).
cnf(refute_0_21477,plain,
( xor(t4,and(t3,not(t6))) != xor(t2,and(t3,t6))
| not(xor(t4,and(t3,not(t6)))) = not(xor(t2,and(t3,t6))) ),
inference(resolve,[$cnf( $equal(not(xor(t4,and(t3,not(t6)))),not(xor(t4,and(t3,not(t6))))) )],[refute_0_21475,refute_0_21476]) ).
cnf(refute_0_21478,plain,
not(xor(t4,and(t3,not(t6)))) = not(xor(t2,and(t3,t6))),
inference(resolve,[$cnf( $equal(xor(t4,and(t3,not(t6))),xor(t2,and(t3,t6))) )],[refute_0_21474,refute_0_21477]) ).
cnf(refute_0_21479,plain,
( not(xor(t4,and(t3,not(t6)))) != not(xor(t2,and(t3,t6)))
| not(xor(t4,and(t3,not(t6)))) != xor(t4,or(t6,not(t3)))
| not(xor(t2,and(t3,t6))) = xor(t4,or(t6,not(t3))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t4,and(t3,not(t6)))),xor(t4,or(t6,not(t3)))) ),[0],$fot(not(xor(t2,and(t3,t6))))]]) ).
cnf(refute_0_21480,plain,
( not(xor(t4,and(t3,not(t6)))) != xor(t4,or(t6,not(t3)))
| not(xor(t2,and(t3,t6))) = xor(t4,or(t6,not(t3))) ),
inference(resolve,[$cnf( $equal(not(xor(t4,and(t3,not(t6)))),not(xor(t2,and(t3,t6)))) )],[refute_0_21478,refute_0_21479]) ).
cnf(refute_0_21481,plain,
not(xor(t2,and(t3,t6))) = xor(t4,or(t6,not(t3))),
inference(resolve,[$cnf( $equal(not(xor(t4,and(t3,not(t6)))),xor(t4,or(t6,not(t3)))) )],[refute_0_21461,refute_0_21480]) ).
cnf(refute_0_21482,plain,
( not(xor(t2,and(t3,t6))) != xor(t4,or(t6,not(t3)))
| xor(t4,or(t6,not(t3))) = not(xor(t2,and(t3,t6))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(xor(t2,and(t3,t6))))),bind(Y0,$fot(xor(t4,or(t6,not(t3)))))]]) ).
cnf(refute_0_21483,plain,
xor(t4,or(t6,not(t3))) = not(xor(t2,and(t3,t6))),
inference(resolve,[$cnf( $equal(not(xor(t2,and(t3,t6))),xor(t4,or(t6,not(t3)))) )],[refute_0_21481,refute_0_21482]) ).
cnf(refute_0_21484,plain,
( and(t3,xor(t4,and(t3,t6))) != xor(t4,or(t6,not(t3)))
| xor(t4,or(t6,not(t3))) != not(xor(t2,and(t3,t6)))
| and(t3,xor(t4,and(t3,t6))) = not(xor(t2,and(t3,t6))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t3,xor(t4,and(t3,t6))),not(xor(t2,and(t3,t6)))) ),[0],$fot(xor(t4,or(t6,not(t3))))]]) ).
cnf(refute_0_21485,plain,
( and(t3,xor(t4,and(t3,t6))) != xor(t4,or(t6,not(t3)))
| and(t3,xor(t4,and(t3,t6))) = not(xor(t2,and(t3,t6))) ),
inference(resolve,[$cnf( $equal(xor(t4,or(t6,not(t3))),not(xor(t2,and(t3,t6)))) )],[refute_0_21483,refute_0_21484]) ).
cnf(refute_0_21486,plain,
and(t3,xor(t4,and(t3,t6))) = not(xor(t2,and(t3,t6))),
inference(resolve,[$cnf( $equal(and(t3,xor(t4,and(t3,t6))),xor(t4,or(t6,not(t3)))) )],[refute_0_21446,refute_0_21485]) ).
cnf(refute_0_21487,plain,
not(not(and(t4,or(b,t6)))) = and(t4,or(b,t6)),
inference(subst,[],[not_involution:[bind(X,$fot(and(t4,or(b,t6))))]]) ).
cnf(refute_0_21488,plain,
( not(and(t4,or(b,t6))) != xor(t4,or(b,t6))
| not(not(and(t4,or(b,t6)))) != and(t4,or(b,t6))
| not(xor(t4,or(b,t6))) = and(t4,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(t4,or(b,t6)))),and(t4,or(b,t6))) ),[0,0],$fot(xor(t4,or(b,t6)))]]) ).
cnf(refute_0_21489,plain,
( not(not(and(t4,or(b,t6)))) != and(t4,or(b,t6))
| not(xor(t4,or(b,t6))) = and(t4,or(b,t6)) ),
inference(resolve,[$cnf( $equal(not(and(t4,or(b,t6))),xor(t4,or(b,t6))) )],[refute_0_21346,refute_0_21488]) ).
cnf(refute_0_21490,plain,
not(xor(t4,or(b,t6))) = and(t4,or(b,t6)),
inference(resolve,[$cnf( $equal(not(not(and(t4,or(b,t6)))),and(t4,or(b,t6))) )],[refute_0_21487,refute_0_21489]) ).
cnf(refute_0_21491,plain,
xor(t4,not(or(b,t6))) = not(xor(t4,or(b,t6))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t4)),bind(X_334,$fot(or(b,t6)))]]) ).
cnf(refute_0_21492,plain,
( not(xor(t4,or(b,t6))) != and(t4,or(b,t6))
| xor(t4,not(or(b,t6))) != not(xor(t4,or(b,t6)))
| xor(t4,not(or(b,t6))) = and(t4,or(b,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t4,not(or(b,t6))))),bind(Y0,$fot(not(xor(t4,or(b,t6))))),bind(Z0,$fot(and(t4,or(b,t6))))]]) ).
cnf(refute_0_21493,plain,
( not(xor(t4,or(b,t6))) != and(t4,or(b,t6))
| xor(t4,not(or(b,t6))) = and(t4,or(b,t6)) ),
inference(resolve,[$cnf( $equal(xor(t4,not(or(b,t6))),not(xor(t4,or(b,t6)))) )],[refute_0_21491,refute_0_21492]) ).
cnf(refute_0_21494,plain,
xor(t4,not(or(b,t6))) = and(t4,or(b,t6)),
inference(resolve,[$cnf( $equal(not(xor(t4,or(b,t6))),and(t4,or(b,t6))) )],[refute_0_21490,refute_0_21493]) ).
cnf(refute_0_21495,plain,
xor(t4,and(t3,not(t6))) = xor(t4,and(t3,not(t6))),
introduced(tautology,[refl,[$fot(xor(t4,and(t3,not(t6))))]]) ).
cnf(refute_0_21496,plain,
( and(t3,not(t6)) != not(or(b,t6))
| xor(t4,and(t3,not(t6))) != xor(t4,and(t3,not(t6)))
| xor(t4,and(t3,not(t6))) = xor(t4,not(or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,and(t3,not(t6))),xor(t4,and(t3,not(t6)))) ),[1,1],$fot(not(or(b,t6)))]]) ).
cnf(refute_0_21497,plain,
( and(t3,not(t6)) != not(or(b,t6))
| xor(t4,and(t3,not(t6))) = xor(t4,not(or(b,t6))) ),
inference(resolve,[$cnf( $equal(xor(t4,and(t3,not(t6))),xor(t4,and(t3,not(t6)))) )],[refute_0_21495,refute_0_21496]) ).
cnf(refute_0_21498,plain,
xor(t4,and(t3,not(t6))) = xor(t4,not(or(b,t6))),
inference(resolve,[$cnf( $equal(and(t3,not(t6)),not(or(b,t6))) )],[refute_0_20600,refute_0_21497]) ).
cnf(refute_0_21499,plain,
( xor(t4,and(t3,not(t6))) != xor(t4,not(or(b,t6)))
| xor(t4,not(or(b,t6))) != and(t4,or(b,t6))
| xor(t4,and(t3,not(t6))) = and(t4,or(b,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t4,and(t3,not(t6))))),bind(Y0,$fot(xor(t4,not(or(b,t6))))),bind(Z0,$fot(and(t4,or(b,t6))))]]) ).
cnf(refute_0_21500,plain,
( xor(t4,not(or(b,t6))) != and(t4,or(b,t6))
| xor(t4,and(t3,not(t6))) = and(t4,or(b,t6)) ),
inference(resolve,[$cnf( $equal(xor(t4,and(t3,not(t6))),xor(t4,not(or(b,t6)))) )],[refute_0_21498,refute_0_21499]) ).
cnf(refute_0_21501,plain,
xor(t4,and(t3,not(t6))) = and(t4,or(b,t6)),
inference(resolve,[$cnf( $equal(xor(t4,not(or(b,t6))),and(t4,or(b,t6))) )],[refute_0_21494,refute_0_21500]) ).
cnf(refute_0_21502,plain,
( xor(t2,and(t3,t6)) != xor(t4,and(t3,not(t6)))
| xor(t4,and(t3,not(t6))) != and(t4,or(b,t6))
| xor(t2,and(t3,t6)) = and(t4,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(t2,and(t3,t6)),and(t4,or(b,t6))) ),[0],$fot(xor(t4,and(t3,not(t6))))]]) ).
cnf(refute_0_21503,plain,
( xor(t2,and(t3,t6)) != xor(t4,and(t3,not(t6)))
| xor(t2,and(t3,t6)) = and(t4,or(b,t6)) ),
inference(resolve,[$cnf( $equal(xor(t4,and(t3,not(t6))),and(t4,or(b,t6))) )],[refute_0_21501,refute_0_21502]) ).
cnf(refute_0_21504,plain,
xor(t2,and(t3,t6)) = and(t4,or(b,t6)),
inference(resolve,[$cnf( $equal(xor(t2,and(t3,t6)),xor(t4,and(t3,not(t6)))) )],[refute_0_21472,refute_0_21503]) ).
cnf(refute_0_21505,plain,
not(xor(t2,and(t3,t6))) = not(xor(t2,and(t3,t6))),
introduced(tautology,[refl,[$fot(not(xor(t2,and(t3,t6))))]]) ).
cnf(refute_0_21506,plain,
( not(xor(t2,and(t3,t6))) != not(xor(t2,and(t3,t6)))
| xor(t2,and(t3,t6)) != and(t4,or(b,t6))
| not(xor(t2,and(t3,t6))) = not(and(t4,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t2,and(t3,t6))),not(xor(t2,and(t3,t6)))) ),[1,0],$fot(and(t4,or(b,t6)))]]) ).
cnf(refute_0_21507,plain,
( xor(t2,and(t3,t6)) != and(t4,or(b,t6))
| not(xor(t2,and(t3,t6))) = not(and(t4,or(b,t6))) ),
inference(resolve,[$cnf( $equal(not(xor(t2,and(t3,t6))),not(xor(t2,and(t3,t6)))) )],[refute_0_21505,refute_0_21506]) ).
cnf(refute_0_21508,plain,
not(xor(t2,and(t3,t6))) = not(and(t4,or(b,t6))),
inference(resolve,[$cnf( $equal(xor(t2,and(t3,t6)),and(t4,or(b,t6))) )],[refute_0_21504,refute_0_21507]) ).
cnf(refute_0_21509,plain,
( not(and(t4,or(b,t6))) != xor(t4,or(b,t6))
| not(xor(t2,and(t3,t6))) != not(and(t4,or(b,t6)))
| not(xor(t2,and(t3,t6))) = xor(t4,or(b,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t2,and(t3,t6))))),bind(Y0,$fot(not(and(t4,or(b,t6))))),bind(Z0,$fot(xor(t4,or(b,t6))))]]) ).
cnf(refute_0_21510,plain,
( not(and(t4,or(b,t6))) != xor(t4,or(b,t6))
| not(xor(t2,and(t3,t6))) = xor(t4,or(b,t6)) ),
inference(resolve,[$cnf( $equal(not(xor(t2,and(t3,t6))),not(and(t4,or(b,t6)))) )],[refute_0_21508,refute_0_21509]) ).
cnf(refute_0_21511,plain,
not(xor(t2,and(t3,t6))) = xor(t4,or(b,t6)),
inference(resolve,[$cnf( $equal(not(and(t4,or(b,t6))),xor(t4,or(b,t6))) )],[refute_0_21346,refute_0_21510]) ).
cnf(refute_0_21512,plain,
( and(t3,xor(t4,and(t3,t6))) != not(xor(t2,and(t3,t6)))
| not(xor(t2,and(t3,t6))) != xor(t4,or(b,t6))
| and(t3,xor(t4,and(t3,t6))) = xor(t4,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t3,xor(t4,and(t3,t6))),xor(t4,or(b,t6))) ),[0],$fot(not(xor(t2,and(t3,t6))))]]) ).
cnf(refute_0_21513,plain,
( and(t3,xor(t4,and(t3,t6))) != not(xor(t2,and(t3,t6)))
| and(t3,xor(t4,and(t3,t6))) = xor(t4,or(b,t6)) ),
inference(resolve,[$cnf( $equal(not(xor(t2,and(t3,t6))),xor(t4,or(b,t6))) )],[refute_0_21511,refute_0_21512]) ).
cnf(refute_0_21514,plain,
and(t3,xor(t4,and(t3,t6))) = xor(t4,or(b,t6)),
inference(resolve,[$cnf( $equal(and(t3,xor(t4,and(t3,t6))),not(xor(t2,and(t3,t6)))) )],[refute_0_21486,refute_0_21513]) ).
cnf(refute_0_21515,plain,
and(t3,xor(t4,and(t3,t6))) = and(t3,xor(t4,and(t3,t6))),
introduced(tautology,[refl,[$fot(and(t3,xor(t4,and(t3,t6))))]]) ).
cnf(refute_0_21516,plain,
( and(t3,xor(t4,and(t3,t6))) != and(t3,xor(t4,and(t3,t6)))
| xor(t4,and(t3,t6)) != or(t2,not(t6))
| and(t3,xor(t4,and(t3,t6))) = and(t3,or(t2,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,xor(t4,and(t3,t6))),and(t3,xor(t4,and(t3,t6)))) ),[1,1],$fot(or(t2,not(t6)))]]) ).
cnf(refute_0_21517,plain,
( xor(t4,and(t3,t6)) != or(t2,not(t6))
| and(t3,xor(t4,and(t3,t6))) = and(t3,or(t2,not(t6))) ),
inference(resolve,[$cnf( $equal(and(t3,xor(t4,and(t3,t6))),and(t3,xor(t4,and(t3,t6)))) )],[refute_0_21515,refute_0_21516]) ).
cnf(refute_0_21518,plain,
and(t3,xor(t4,and(t3,t6))) = and(t3,or(t2,not(t6))),
inference(resolve,[$cnf( $equal(xor(t4,and(t3,t6)),or(t2,not(t6))) )],[refute_0_21014,refute_0_21517]) ).
cnf(refute_0_21519,plain,
( and(t3,xor(t4,and(t3,t6))) != and(t3,or(t2,not(t6)))
| and(t3,xor(t4,and(t3,t6))) != xor(t4,or(b,t6))
| and(t3,or(t2,not(t6))) = xor(t4,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,xor(t4,and(t3,t6))),xor(t4,or(b,t6))) ),[0],$fot(and(t3,or(t2,not(t6))))]]) ).
cnf(refute_0_21520,plain,
( and(t3,xor(t4,and(t3,t6))) != xor(t4,or(b,t6))
| and(t3,or(t2,not(t6))) = xor(t4,or(b,t6)) ),
inference(resolve,[$cnf( $equal(and(t3,xor(t4,and(t3,t6))),and(t3,or(t2,not(t6)))) )],[refute_0_21518,refute_0_21519]) ).
cnf(refute_0_21521,plain,
and(t3,or(t2,not(t6))) = xor(t4,or(b,t6)),
inference(resolve,[$cnf( $equal(and(t3,xor(t4,and(t3,t6))),xor(t4,or(b,t6))) )],[refute_0_21514,refute_0_21520]) ).
cnf(refute_0_21522,plain,
or(and(t2,not(xor(t2,or(t5,and(t2,t4))))),and(not(t2),xor(t2,or(t5,and(t2,t4))))) = xor(t2,xor(t2,or(t5,and(t2,t4)))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t2)),bind(Y,$fot(xor(t2,or(t5,and(t2,t4)))))]]) ).
cnf(refute_0_21523,plain,
not(or(xor(t2,or(t5,and(t2,t4))),not(t2))) = not(or(not(t2),xor(t2,or(t5,and(t2,t4))))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(not(t2))),bind(X_26,$fot(xor(t2,or(t5,and(t2,t4)))))]]) ).
cnf(refute_0_21524,plain,
or(not(t2),and(not(t2),or(t5,and(t2,t4)))) = not(t2),
inference(subst,[],[or_absorption:[bind(X,$fot(not(t2))),bind(Y,$fot(or(t5,and(t2,t4))))]]) ).
cnf(refute_0_21525,plain,
or(and(t2,not(or(t5,and(t2,t4)))),and(not(t2),or(t5,and(t2,t4)))) = xor(t2,or(t5,and(t2,t4))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t2)),bind(Y,$fot(or(t5,and(t2,t4))))]]) ).
cnf(refute_0_21526,plain,
and(and(t4,not(t5)),X_222) = and(t4,and(not(t5),X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(t4)),bind(Y,$fot(not(t5))),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_21527,plain,
( and(and(t4,not(t5)),X_222) != and(t4,and(not(t5),X_222))
| and(t4,not(t5)) != not(t5)
| and(not(t5),X_222) = and(t4,and(not(t5),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t4,not(t5)),X_222),and(t4,and(not(t5),X_222))) ),[0,0],$fot(not(t5))]]) ).
cnf(refute_0_21528,plain,
( and(and(t4,not(t5)),X_222) != and(t4,and(not(t5),X_222))
| and(not(t5),X_222) = and(t4,and(not(t5),X_222)) ),
inference(resolve,[$cnf( $equal(and(t4,not(t5)),not(t5)) )],[refute_0_962,refute_0_21527]) ).
cnf(refute_0_21529,plain,
and(not(t5),X_222) = and(t4,and(not(t5),X_222)),
inference(resolve,[$cnf( $equal(and(and(t4,not(t5)),X_222),and(t4,and(not(t5),X_222))) )],[refute_0_21526,refute_0_21528]) ).
cnf(refute_0_21530,plain,
and(not(t5),and(t2,xor(t2,t4))) = and(t4,and(not(t5),and(t2,xor(t2,t4)))),
inference(subst,[],[refute_0_21529:[bind(X_222,$fot(and(t2,xor(t2,t4))))]]) ).
cnf(refute_0_21531,plain,
and(t4,and(not(t5),and(t2,xor(t2,t4)))) = ll0,
inference(subst,[],[refute_0_20130:[bind(X_220,$fot(not(t5)))]]) ).
cnf(refute_0_21532,plain,
( and(not(t5),and(t2,xor(t2,t4))) != and(t4,and(not(t5),and(t2,xor(t2,t4))))
| and(t4,and(not(t5),and(t2,xor(t2,t4)))) != ll0
| and(not(t5),and(t2,xor(t2,t4))) = ll0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(t5),and(t2,xor(t2,t4))),ll0) ),[0],$fot(and(t4,and(not(t5),and(t2,xor(t2,t4)))))]]) ).
cnf(refute_0_21533,plain,
( and(not(t5),and(t2,xor(t2,t4))) != and(t4,and(not(t5),and(t2,xor(t2,t4))))
| and(not(t5),and(t2,xor(t2,t4))) = ll0 ),
inference(resolve,[$cnf( $equal(and(t4,and(not(t5),and(t2,xor(t2,t4)))),ll0) )],[refute_0_21531,refute_0_21532]) ).
cnf(refute_0_21534,plain,
and(not(t5),and(t2,xor(t2,t4))) = ll0,
inference(resolve,[$cnf( $equal(and(not(t5),and(t2,xor(t2,t4))),and(t4,and(not(t5),and(t2,xor(t2,t4))))) )],[refute_0_21530,refute_0_21533]) ).
cnf(refute_0_21535,plain,
and(not(t5),xor(t2,t4)) = not(or(t5,and(t2,t4))),
inference(subst,[],[refute_0_20140:[bind(X,$fot(t5))]]) ).
cnf(refute_0_21536,plain,
and(t2,and(not(t5),xor(t2,t4))) = and(t2,and(not(t5),xor(t2,t4))),
introduced(tautology,[refl,[$fot(and(t2,and(not(t5),xor(t2,t4))))]]) ).
cnf(refute_0_21537,plain,
( and(not(t5),xor(t2,t4)) != not(or(t5,and(t2,t4)))
| and(t2,and(not(t5),xor(t2,t4))) != and(t2,and(not(t5),xor(t2,t4)))
| and(t2,and(not(t5),xor(t2,t4))) = and(t2,not(or(t5,and(t2,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,and(not(t5),xor(t2,t4))),and(t2,and(not(t5),xor(t2,t4)))) ),[1,1],$fot(not(or(t5,and(t2,t4))))]]) ).
cnf(refute_0_21538,plain,
( and(not(t5),xor(t2,t4)) != not(or(t5,and(t2,t4)))
| and(t2,and(not(t5),xor(t2,t4))) = and(t2,not(or(t5,and(t2,t4)))) ),
inference(resolve,[$cnf( $equal(and(t2,and(not(t5),xor(t2,t4))),and(t2,and(not(t5),xor(t2,t4)))) )],[refute_0_21536,refute_0_21537]) ).
cnf(refute_0_21539,plain,
and(t2,and(not(t5),xor(t2,t4))) = and(t2,not(or(t5,and(t2,t4)))),
inference(resolve,[$cnf( $equal(and(not(t5),xor(t2,t4)),not(or(t5,and(t2,t4)))) )],[refute_0_21535,refute_0_21538]) ).
cnf(refute_0_21540,plain,
and(not(t5),and(t2,xor(t2,t4))) = and(t2,and(not(t5),xor(t2,t4))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(t5))),bind(X_221,$fot(t2)),bind(X_222,$fot(xor(t2,t4)))]]) ).
cnf(refute_0_21541,plain,
( and(not(t5),and(t2,xor(t2,t4))) != and(t2,and(not(t5),xor(t2,t4)))
| and(t2,and(not(t5),xor(t2,t4))) != and(t2,not(or(t5,and(t2,t4))))
| and(not(t5),and(t2,xor(t2,t4))) = and(t2,not(or(t5,and(t2,t4)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t5),and(t2,xor(t2,t4))))),bind(Y0,$fot(and(t2,and(not(t5),xor(t2,t4))))),bind(Z0,$fot(and(t2,not(or(t5,and(t2,t4))))))]]) ).
cnf(refute_0_21542,plain,
( and(t2,and(not(t5),xor(t2,t4))) != and(t2,not(or(t5,and(t2,t4))))
| and(not(t5),and(t2,xor(t2,t4))) = and(t2,not(or(t5,and(t2,t4)))) ),
inference(resolve,[$cnf( $equal(and(not(t5),and(t2,xor(t2,t4))),and(t2,and(not(t5),xor(t2,t4)))) )],[refute_0_21540,refute_0_21541]) ).
cnf(refute_0_21543,plain,
and(not(t5),and(t2,xor(t2,t4))) = and(t2,not(or(t5,and(t2,t4)))),
inference(resolve,[$cnf( $equal(and(t2,and(not(t5),xor(t2,t4))),and(t2,not(or(t5,and(t2,t4))))) )],[refute_0_21539,refute_0_21542]) ).
cnf(refute_0_21544,plain,
( and(not(t5),and(t2,xor(t2,t4))) != and(t2,not(or(t5,and(t2,t4))))
| and(not(t5),and(t2,xor(t2,t4))) != ll0
| and(t2,not(or(t5,and(t2,t4)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),and(t2,xor(t2,t4))),ll0) ),[0],$fot(and(t2,not(or(t5,and(t2,t4)))))]]) ).
cnf(refute_0_21545,plain,
( and(not(t5),and(t2,xor(t2,t4))) != ll0
| and(t2,not(or(t5,and(t2,t4)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(not(t5),and(t2,xor(t2,t4))),and(t2,not(or(t5,and(t2,t4))))) )],[refute_0_21543,refute_0_21544]) ).
cnf(refute_0_21546,plain,
and(t2,not(or(t5,and(t2,t4)))) = ll0,
inference(resolve,[$cnf( $equal(and(not(t5),and(t2,xor(t2,t4))),ll0) )],[refute_0_21534,refute_0_21545]) ).
cnf(refute_0_21547,plain,
( and(t2,not(or(t5,and(t2,t4)))) != ll0
| or(and(t2,not(or(t5,and(t2,t4)))),and(not(t2),or(t5,and(t2,t4)))) != xor(t2,or(t5,and(t2,t4)))
| or(ll0,and(not(t2),or(t5,and(t2,t4)))) = xor(t2,or(t5,and(t2,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t2,not(or(t5,and(t2,t4)))),and(not(t2),or(t5,and(t2,t4)))),xor(t2,or(t5,and(t2,t4)))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_21548,plain,
( or(and(t2,not(or(t5,and(t2,t4)))),and(not(t2),or(t5,and(t2,t4)))) != xor(t2,or(t5,and(t2,t4)))
| or(ll0,and(not(t2),or(t5,and(t2,t4)))) = xor(t2,or(t5,and(t2,t4))) ),
inference(resolve,[$cnf( $equal(and(t2,not(or(t5,and(t2,t4)))),ll0) )],[refute_0_21546,refute_0_21547]) ).
cnf(refute_0_21549,plain,
or(ll0,and(not(t2),or(t5,and(t2,t4)))) = xor(t2,or(t5,and(t2,t4))),
inference(resolve,[$cnf( $equal(or(and(t2,not(or(t5,and(t2,t4)))),and(not(t2),or(t5,and(t2,t4)))),xor(t2,or(t5,and(t2,t4)))) )],[refute_0_21525,refute_0_21548]) ).
cnf(refute_0_21550,plain,
or(ll0,and(not(t2),or(t5,and(t2,t4)))) = and(not(t2),or(t5,and(t2,t4))),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(t2),or(t5,and(t2,t4)))))]]) ).
cnf(refute_0_21551,plain,
( or(ll0,and(not(t2),or(t5,and(t2,t4)))) != and(not(t2),or(t5,and(t2,t4)))
| or(ll0,and(not(t2),or(t5,and(t2,t4)))) != xor(t2,or(t5,and(t2,t4)))
| and(not(t2),or(t5,and(t2,t4))) = xor(t2,or(t5,and(t2,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(t2),or(t5,and(t2,t4)))),xor(t2,or(t5,and(t2,t4)))) ),[0],$fot(and(not(t2),or(t5,and(t2,t4))))]]) ).
cnf(refute_0_21552,plain,
( or(ll0,and(not(t2),or(t5,and(t2,t4)))) != xor(t2,or(t5,and(t2,t4)))
| and(not(t2),or(t5,and(t2,t4))) = xor(t2,or(t5,and(t2,t4))) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t2),or(t5,and(t2,t4)))),and(not(t2),or(t5,and(t2,t4)))) )],[refute_0_21550,refute_0_21551]) ).
cnf(refute_0_21553,plain,
and(not(t2),or(t5,and(t2,t4))) = xor(t2,or(t5,and(t2,t4))),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t2),or(t5,and(t2,t4)))),xor(t2,or(t5,and(t2,t4)))) )],[refute_0_21549,refute_0_21552]) ).
cnf(refute_0_21554,plain,
( and(not(t2),or(t5,and(t2,t4))) != xor(t2,or(t5,and(t2,t4)))
| or(not(t2),and(not(t2),or(t5,and(t2,t4)))) != not(t2)
| or(not(t2),xor(t2,or(t5,and(t2,t4)))) = not(t2) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t2),and(not(t2),or(t5,and(t2,t4)))),not(t2)) ),[0,1],$fot(xor(t2,or(t5,and(t2,t4))))]]) ).
cnf(refute_0_21555,plain,
( or(not(t2),and(not(t2),or(t5,and(t2,t4)))) != not(t2)
| or(not(t2),xor(t2,or(t5,and(t2,t4)))) = not(t2) ),
inference(resolve,[$cnf( $equal(and(not(t2),or(t5,and(t2,t4))),xor(t2,or(t5,and(t2,t4)))) )],[refute_0_21553,refute_0_21554]) ).
cnf(refute_0_21556,plain,
or(not(t2),xor(t2,or(t5,and(t2,t4)))) = not(t2),
inference(resolve,[$cnf( $equal(or(not(t2),and(not(t2),or(t5,and(t2,t4)))),not(t2)) )],[refute_0_21524,refute_0_21555]) ).
cnf(refute_0_21557,plain,
( not(or(xor(t2,or(t5,and(t2,t4))),not(t2))) != not(or(not(t2),xor(t2,or(t5,and(t2,t4)))))
| or(not(t2),xor(t2,or(t5,and(t2,t4)))) != not(t2)
| not(or(xor(t2,or(t5,and(t2,t4))),not(t2))) = not(not(t2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(t2,or(t5,and(t2,t4))),not(t2))),not(or(not(t2),xor(t2,or(t5,and(t2,t4)))))) ),[1,0],$fot(not(t2))]]) ).
cnf(refute_0_21558,plain,
( not(or(xor(t2,or(t5,and(t2,t4))),not(t2))) != not(or(not(t2),xor(t2,or(t5,and(t2,t4)))))
| not(or(xor(t2,or(t5,and(t2,t4))),not(t2))) = not(not(t2)) ),
inference(resolve,[$cnf( $equal(or(not(t2),xor(t2,or(t5,and(t2,t4)))),not(t2)) )],[refute_0_21556,refute_0_21557]) ).
cnf(refute_0_21559,plain,
not(or(xor(t2,or(t5,and(t2,t4))),not(t2))) = not(not(t2)),
inference(resolve,[$cnf( $equal(not(or(xor(t2,or(t5,and(t2,t4))),not(t2))),not(or(not(t2),xor(t2,or(t5,and(t2,t4)))))) )],[refute_0_21523,refute_0_21558]) ).
cnf(refute_0_21560,plain,
and(not(xor(t2,or(t5,and(t2,t4)))),t2) = and(t2,not(xor(t2,or(t5,and(t2,t4))))),
inference(subst,[],[refute_0_116:[bind(X,$fot(t2)),bind(Y,$fot(not(xor(t2,or(t5,and(t2,t4))))))]]) ).
cnf(refute_0_21561,plain,
not(or(xor(t2,or(t5,and(t2,t4))),not(t2))) = and(not(xor(t2,or(t5,and(t2,t4)))),t2),
inference(subst,[],[refute_0_801:[bind(X,$fot(t2)),bind(X_25,$fot(xor(t2,or(t5,and(t2,t4)))))]]) ).
cnf(refute_0_21562,plain,
( and(not(xor(t2,or(t5,and(t2,t4)))),t2) != and(t2,not(xor(t2,or(t5,and(t2,t4)))))
| not(or(xor(t2,or(t5,and(t2,t4))),not(t2))) != and(not(xor(t2,or(t5,and(t2,t4)))),t2)
| not(or(xor(t2,or(t5,and(t2,t4))),not(t2))) = and(t2,not(xor(t2,or(t5,and(t2,t4))))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(xor(t2,or(t5,and(t2,t4))),not(t2))))),bind(Y0,$fot(and(not(xor(t2,or(t5,and(t2,t4)))),t2))),bind(Z0,$fot(and(t2,not(xor(t2,or(t5,and(t2,t4)))))))]]) ).
cnf(refute_0_21563,plain,
( and(not(xor(t2,or(t5,and(t2,t4)))),t2) != and(t2,not(xor(t2,or(t5,and(t2,t4)))))
| not(or(xor(t2,or(t5,and(t2,t4))),not(t2))) = and(t2,not(xor(t2,or(t5,and(t2,t4))))) ),
inference(resolve,[$cnf( $equal(not(or(xor(t2,or(t5,and(t2,t4))),not(t2))),and(not(xor(t2,or(t5,and(t2,t4)))),t2)) )],[refute_0_21561,refute_0_21562]) ).
cnf(refute_0_21564,plain,
not(or(xor(t2,or(t5,and(t2,t4))),not(t2))) = and(t2,not(xor(t2,or(t5,and(t2,t4))))),
inference(resolve,[$cnf( $equal(and(not(xor(t2,or(t5,and(t2,t4)))),t2),and(t2,not(xor(t2,or(t5,and(t2,t4)))))) )],[refute_0_21560,refute_0_21563]) ).
cnf(refute_0_21565,plain,
( not(or(xor(t2,or(t5,and(t2,t4))),not(t2))) != and(t2,not(xor(t2,or(t5,and(t2,t4)))))
| not(or(xor(t2,or(t5,and(t2,t4))),not(t2))) != not(not(t2))
| and(t2,not(xor(t2,or(t5,and(t2,t4))))) = not(not(t2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(t2,or(t5,and(t2,t4))),not(t2))),not(not(t2))) ),[0],$fot(and(t2,not(xor(t2,or(t5,and(t2,t4))))))]]) ).
cnf(refute_0_21566,plain,
( not(or(xor(t2,or(t5,and(t2,t4))),not(t2))) != not(not(t2))
| and(t2,not(xor(t2,or(t5,and(t2,t4))))) = not(not(t2)) ),
inference(resolve,[$cnf( $equal(not(or(xor(t2,or(t5,and(t2,t4))),not(t2))),and(t2,not(xor(t2,or(t5,and(t2,t4)))))) )],[refute_0_21564,refute_0_21565]) ).
cnf(refute_0_21567,plain,
( and(t2,not(xor(t2,or(t5,and(t2,t4))))) != not(not(t2))
| not(not(t2)) != t2
| and(t2,not(xor(t2,or(t5,and(t2,t4))))) = t2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t2,not(xor(t2,or(t5,and(t2,t4))))),t2) ),[0],$fot(not(not(t2)))]]) ).
cnf(refute_0_21568,plain,
( and(t2,not(xor(t2,or(t5,and(t2,t4))))) != not(not(t2))
| and(t2,not(xor(t2,or(t5,and(t2,t4))))) = t2 ),
inference(resolve,[$cnf( $equal(not(not(t2)),t2) )],[refute_0_1710,refute_0_21567]) ).
cnf(refute_0_21569,plain,
( not(or(xor(t2,or(t5,and(t2,t4))),not(t2))) != not(not(t2))
| and(t2,not(xor(t2,or(t5,and(t2,t4))))) = t2 ),
inference(resolve,[$cnf( $equal(and(t2,not(xor(t2,or(t5,and(t2,t4))))),not(not(t2))) )],[refute_0_21566,refute_0_21568]) ).
cnf(refute_0_21570,plain,
and(t2,not(xor(t2,or(t5,and(t2,t4))))) = t2,
inference(resolve,[$cnf( $equal(not(or(xor(t2,or(t5,and(t2,t4))),not(t2))),not(not(t2))) )],[refute_0_21559,refute_0_21569]) ).
cnf(refute_0_21571,plain,
( and(t2,not(xor(t2,or(t5,and(t2,t4))))) != t2
| or(and(t2,not(xor(t2,or(t5,and(t2,t4))))),and(not(t2),xor(t2,or(t5,and(t2,t4))))) != xor(t2,xor(t2,or(t5,and(t2,t4))))
| or(t2,and(not(t2),xor(t2,or(t5,and(t2,t4))))) = xor(t2,xor(t2,or(t5,and(t2,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t2,not(xor(t2,or(t5,and(t2,t4))))),and(not(t2),xor(t2,or(t5,and(t2,t4))))),xor(t2,xor(t2,or(t5,and(t2,t4))))) ),[0,0],$fot(t2)]]) ).
cnf(refute_0_21572,plain,
( or(and(t2,not(xor(t2,or(t5,and(t2,t4))))),and(not(t2),xor(t2,or(t5,and(t2,t4))))) != xor(t2,xor(t2,or(t5,and(t2,t4))))
| or(t2,and(not(t2),xor(t2,or(t5,and(t2,t4))))) = xor(t2,xor(t2,or(t5,and(t2,t4)))) ),
inference(resolve,[$cnf( $equal(and(t2,not(xor(t2,or(t5,and(t2,t4))))),t2) )],[refute_0_21570,refute_0_21571]) ).
cnf(refute_0_21573,plain,
or(t2,and(not(t2),xor(t2,or(t5,and(t2,t4))))) = xor(t2,xor(t2,or(t5,and(t2,t4)))),
inference(resolve,[$cnf( $equal(or(and(t2,not(xor(t2,or(t5,and(t2,t4))))),and(not(t2),xor(t2,or(t5,and(t2,t4))))),xor(t2,xor(t2,or(t5,and(t2,t4))))) )],[refute_0_21522,refute_0_21572]) ).
cnf(refute_0_21574,plain,
and(xor(t2,or(t5,and(t2,t4))),or(not(t2),xor(t2,or(t5,and(t2,t4))))) = xor(t2,or(t5,and(t2,t4))),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(xor(t2,or(t5,and(t2,t4))))),bind(X_20,$fot(not(t2)))]]) ).
cnf(refute_0_21575,plain,
( and(xor(t2,or(t5,and(t2,t4))),or(not(t2),xor(t2,or(t5,and(t2,t4))))) != xor(t2,or(t5,and(t2,t4)))
| or(not(t2),xor(t2,or(t5,and(t2,t4)))) != not(t2)
| and(xor(t2,or(t5,and(t2,t4))),not(t2)) = xor(t2,or(t5,and(t2,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t2,or(t5,and(t2,t4))),or(not(t2),xor(t2,or(t5,and(t2,t4))))),xor(t2,or(t5,and(t2,t4)))) ),[0,1],$fot(not(t2))]]) ).
cnf(refute_0_21576,plain,
( and(xor(t2,or(t5,and(t2,t4))),or(not(t2),xor(t2,or(t5,and(t2,t4))))) != xor(t2,or(t5,and(t2,t4)))
| and(xor(t2,or(t5,and(t2,t4))),not(t2)) = xor(t2,or(t5,and(t2,t4))) ),
inference(resolve,[$cnf( $equal(or(not(t2),xor(t2,or(t5,and(t2,t4)))),not(t2)) )],[refute_0_21556,refute_0_21575]) ).
cnf(refute_0_21577,plain,
and(xor(t2,or(t5,and(t2,t4))),not(t2)) = xor(t2,or(t5,and(t2,t4))),
inference(resolve,[$cnf( $equal(and(xor(t2,or(t5,and(t2,t4))),or(not(t2),xor(t2,or(t5,and(t2,t4))))),xor(t2,or(t5,and(t2,t4)))) )],[refute_0_21574,refute_0_21576]) ).
cnf(refute_0_21578,plain,
and(xor(t2,or(t5,and(t2,t4))),not(t2)) = and(not(t2),xor(t2,or(t5,and(t2,t4)))),
inference(subst,[],[refute_0_116:[bind(X,$fot(not(t2))),bind(Y,$fot(xor(t2,or(t5,and(t2,t4)))))]]) ).
cnf(refute_0_21579,plain,
( and(xor(t2,or(t5,and(t2,t4))),not(t2)) != and(not(t2),xor(t2,or(t5,and(t2,t4))))
| and(xor(t2,or(t5,and(t2,t4))),not(t2)) != xor(t2,or(t5,and(t2,t4)))
| and(not(t2),xor(t2,or(t5,and(t2,t4)))) = xor(t2,or(t5,and(t2,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t2,or(t5,and(t2,t4))),not(t2)),xor(t2,or(t5,and(t2,t4)))) ),[0],$fot(and(not(t2),xor(t2,or(t5,and(t2,t4)))))]]) ).
cnf(refute_0_21580,plain,
( and(xor(t2,or(t5,and(t2,t4))),not(t2)) != xor(t2,or(t5,and(t2,t4)))
| and(not(t2),xor(t2,or(t5,and(t2,t4)))) = xor(t2,or(t5,and(t2,t4))) ),
inference(resolve,[$cnf( $equal(and(xor(t2,or(t5,and(t2,t4))),not(t2)),and(not(t2),xor(t2,or(t5,and(t2,t4))))) )],[refute_0_21578,refute_0_21579]) ).
cnf(refute_0_21581,plain,
and(not(t2),xor(t2,or(t5,and(t2,t4)))) = xor(t2,or(t5,and(t2,t4))),
inference(resolve,[$cnf( $equal(and(xor(t2,or(t5,and(t2,t4))),not(t2)),xor(t2,or(t5,and(t2,t4)))) )],[refute_0_21577,refute_0_21580]) ).
cnf(refute_0_21582,plain,
or(t2,and(not(t2),xor(t2,or(t5,and(t2,t4))))) = or(t2,and(not(t2),xor(t2,or(t5,and(t2,t4))))),
introduced(tautology,[refl,[$fot(or(t2,and(not(t2),xor(t2,or(t5,and(t2,t4))))))]]) ).
cnf(refute_0_21583,plain,
( and(not(t2),xor(t2,or(t5,and(t2,t4)))) != xor(t2,or(t5,and(t2,t4)))
| or(t2,and(not(t2),xor(t2,or(t5,and(t2,t4))))) != or(t2,and(not(t2),xor(t2,or(t5,and(t2,t4)))))
| or(t2,and(not(t2),xor(t2,or(t5,and(t2,t4))))) = or(t2,xor(t2,or(t5,and(t2,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,and(not(t2),xor(t2,or(t5,and(t2,t4))))),or(t2,and(not(t2),xor(t2,or(t5,and(t2,t4)))))) ),[1,1],$fot(xor(t2,or(t5,and(t2,t4))))]]) ).
cnf(refute_0_21584,plain,
( and(not(t2),xor(t2,or(t5,and(t2,t4)))) != xor(t2,or(t5,and(t2,t4)))
| or(t2,and(not(t2),xor(t2,or(t5,and(t2,t4))))) = or(t2,xor(t2,or(t5,and(t2,t4)))) ),
inference(resolve,[$cnf( $equal(or(t2,and(not(t2),xor(t2,or(t5,and(t2,t4))))),or(t2,and(not(t2),xor(t2,or(t5,and(t2,t4)))))) )],[refute_0_21582,refute_0_21583]) ).
cnf(refute_0_21585,plain,
or(t2,and(not(t2),xor(t2,or(t5,and(t2,t4))))) = or(t2,xor(t2,or(t5,and(t2,t4)))),
inference(resolve,[$cnf( $equal(and(not(t2),xor(t2,or(t5,and(t2,t4)))),xor(t2,or(t5,and(t2,t4)))) )],[refute_0_21581,refute_0_21584]) ).
cnf(refute_0_21586,plain,
( or(t2,and(not(t2),xor(t2,or(t5,and(t2,t4))))) != or(t2,xor(t2,or(t5,and(t2,t4))))
| or(t2,and(not(t2),xor(t2,or(t5,and(t2,t4))))) != xor(t2,xor(t2,or(t5,and(t2,t4))))
| or(t2,xor(t2,or(t5,and(t2,t4)))) = xor(t2,xor(t2,or(t5,and(t2,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,and(not(t2),xor(t2,or(t5,and(t2,t4))))),xor(t2,xor(t2,or(t5,and(t2,t4))))) ),[0],$fot(or(t2,xor(t2,or(t5,and(t2,t4)))))]]) ).
cnf(refute_0_21587,plain,
( or(t2,and(not(t2),xor(t2,or(t5,and(t2,t4))))) != xor(t2,xor(t2,or(t5,and(t2,t4))))
| or(t2,xor(t2,or(t5,and(t2,t4)))) = xor(t2,xor(t2,or(t5,and(t2,t4)))) ),
inference(resolve,[$cnf( $equal(or(t2,and(not(t2),xor(t2,or(t5,and(t2,t4))))),or(t2,xor(t2,or(t5,and(t2,t4))))) )],[refute_0_21585,refute_0_21586]) ).
cnf(refute_0_21588,plain,
or(t2,xor(t2,or(t5,and(t2,t4)))) = xor(t2,xor(t2,or(t5,and(t2,t4)))),
inference(resolve,[$cnf( $equal(or(t2,and(not(t2),xor(t2,or(t5,and(t2,t4))))),xor(t2,xor(t2,or(t5,and(t2,t4))))) )],[refute_0_21573,refute_0_21587]) ).
cnf(refute_0_21589,plain,
xor(t2,xor(t2,or(t5,and(t2,t4)))) = or(t5,and(t2,t4)),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(t2)),bind(X_335,$fot(or(t5,and(t2,t4))))]]) ).
cnf(refute_0_21590,plain,
( or(t2,xor(t2,or(t5,and(t2,t4)))) != xor(t2,xor(t2,or(t5,and(t2,t4))))
| xor(t2,xor(t2,or(t5,and(t2,t4)))) != or(t5,and(t2,t4))
| or(t2,xor(t2,or(t5,and(t2,t4)))) = or(t5,and(t2,t4)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(t2,xor(t2,or(t5,and(t2,t4)))),or(t5,and(t2,t4))) ),[0],$fot(xor(t2,xor(t2,or(t5,and(t2,t4)))))]]) ).
cnf(refute_0_21591,plain,
( or(t2,xor(t2,or(t5,and(t2,t4)))) != xor(t2,xor(t2,or(t5,and(t2,t4))))
| or(t2,xor(t2,or(t5,and(t2,t4)))) = or(t5,and(t2,t4)) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t2,or(t5,and(t2,t4)))),or(t5,and(t2,t4))) )],[refute_0_21589,refute_0_21590]) ).
cnf(refute_0_21592,plain,
or(t2,xor(t2,or(t5,and(t2,t4)))) = or(t5,and(t2,t4)),
inference(resolve,[$cnf( $equal(or(t2,xor(t2,or(t5,and(t2,t4)))),xor(t2,xor(t2,or(t5,and(t2,t4))))) )],[refute_0_21588,refute_0_21591]) ).
cnf(refute_0_21593,plain,
not(and(not(t5),t3)) = not(and(t3,not(t5))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(t3)),bind(X_32,$fot(not(t5)))]]) ).
cnf(refute_0_21594,plain,
( and(t3,not(t5)) != not(or(t2,t5))
| not(and(not(t5),t3)) != not(and(t3,not(t5)))
| not(and(not(t5),t3)) = not(not(or(t2,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t5),t3)),not(and(t3,not(t5)))) ),[1,0],$fot(not(or(t2,t5)))]]) ).
cnf(refute_0_21595,plain,
( not(and(not(t5),t3)) != not(and(t3,not(t5)))
| not(and(not(t5),t3)) = not(not(or(t2,t5))) ),
inference(resolve,[$cnf( $equal(and(t3,not(t5)),not(or(t2,t5))) )],[refute_0_14234,refute_0_21594]) ).
cnf(refute_0_21596,plain,
not(and(not(t5),t3)) = not(not(or(t2,t5))),
inference(resolve,[$cnf( $equal(not(and(not(t5),t3)),not(and(t3,not(t5)))) )],[refute_0_21593,refute_0_21595]) ).
cnf(refute_0_21597,plain,
not(and(not(t5),t3)) = or(t5,not(t3)),
inference(subst,[],[refute_0_787:[bind(X,$fot(t5)),bind(X_32,$fot(t3))]]) ).
cnf(refute_0_21598,plain,
( not(and(not(t5),t3)) != not(not(or(t2,t5)))
| not(and(not(t5),t3)) != or(t5,not(t3))
| or(t5,not(t3)) = not(not(or(t2,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t5),t3)),not(not(or(t2,t5)))) ),[0],$fot(or(t5,not(t3)))]]) ).
cnf(refute_0_21599,plain,
( not(and(not(t5),t3)) != not(not(or(t2,t5)))
| or(t5,not(t3)) = not(not(or(t2,t5))) ),
inference(resolve,[$cnf( $equal(not(and(not(t5),t3)),or(t5,not(t3))) )],[refute_0_21597,refute_0_21598]) ).
cnf(refute_0_21600,plain,
( not(not(or(t2,t5))) != or(t2,t5)
| or(t5,not(t3)) != not(not(or(t2,t5)))
| or(t5,not(t3)) = or(t2,t5) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,not(t3)),not(not(or(t2,t5)))) ),[1],$fot(or(t2,t5))]]) ).
cnf(refute_0_21601,plain,
( or(t5,not(t3)) != not(not(or(t2,t5)))
| or(t5,not(t3)) = or(t2,t5) ),
inference(resolve,[$cnf( $equal(not(not(or(t2,t5))),or(t2,t5)) )],[refute_0_14113,refute_0_21600]) ).
cnf(refute_0_21602,plain,
( not(and(not(t5),t3)) != not(not(or(t2,t5)))
| or(t5,not(t3)) = or(t2,t5) ),
inference(resolve,[$cnf( $equal(or(t5,not(t3)),not(not(or(t2,t5)))) )],[refute_0_21599,refute_0_21601]) ).
cnf(refute_0_21603,plain,
or(t5,not(t3)) = or(t2,t5),
inference(resolve,[$cnf( $equal(not(and(not(t5),t3)),not(not(or(t2,t5)))) )],[refute_0_21596,refute_0_21602]) ).
cnf(refute_0_21604,plain,
or(t5,and(t2,t4)) = or(t5,and(t2,t4)),
introduced(tautology,[refl,[$fot(or(t5,and(t2,t4)))]]) ).
cnf(refute_0_21605,plain,
( and(t2,t4) != not(t3)
| or(t5,and(t2,t4)) != or(t5,and(t2,t4))
| or(t5,and(t2,t4)) = or(t5,not(t3)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,and(t2,t4)),or(t5,and(t2,t4))) ),[1,1],$fot(not(t3))]]) ).
cnf(refute_0_21606,plain,
( and(t2,t4) != not(t3)
| or(t5,and(t2,t4)) = or(t5,not(t3)) ),
inference(resolve,[$cnf( $equal(or(t5,and(t2,t4)),or(t5,and(t2,t4))) )],[refute_0_21604,refute_0_21605]) ).
cnf(refute_0_21607,plain,
or(t5,and(t2,t4)) = or(t5,not(t3)),
inference(resolve,[$cnf( $equal(and(t2,t4),not(t3)) )],[refute_0_9619,refute_0_21606]) ).
cnf(refute_0_21608,plain,
( or(t5,and(t2,t4)) != or(t5,not(t3))
| or(t5,not(t3)) != or(t2,t5)
| or(t5,and(t2,t4)) = or(t2,t5) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t5,and(t2,t4)))),bind(Y0,$fot(or(t5,not(t3)))),bind(Z0,$fot(or(t2,t5)))]]) ).
cnf(refute_0_21609,plain,
( or(t5,not(t3)) != or(t2,t5)
| or(t5,and(t2,t4)) = or(t2,t5) ),
inference(resolve,[$cnf( $equal(or(t5,and(t2,t4)),or(t5,not(t3))) )],[refute_0_21607,refute_0_21608]) ).
cnf(refute_0_21610,plain,
or(t5,and(t2,t4)) = or(t2,t5),
inference(resolve,[$cnf( $equal(or(t5,not(t3)),or(t2,t5)) )],[refute_0_21603,refute_0_21609]) ).
cnf(refute_0_21611,plain,
xor(t2,or(t5,and(t2,t4))) = xor(t2,or(t5,and(t2,t4))),
introduced(tautology,[refl,[$fot(xor(t2,or(t5,and(t2,t4))))]]) ).
cnf(refute_0_21612,plain,
( or(t5,and(t2,t4)) != or(t2,t5)
| xor(t2,or(t5,and(t2,t4))) != xor(t2,or(t5,and(t2,t4)))
| xor(t2,or(t5,and(t2,t4))) = xor(t2,or(t2,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,or(t5,and(t2,t4))),xor(t2,or(t5,and(t2,t4)))) ),[1,1],$fot(or(t2,t5))]]) ).
cnf(refute_0_21613,plain,
( or(t5,and(t2,t4)) != or(t2,t5)
| xor(t2,or(t5,and(t2,t4))) = xor(t2,or(t2,t5)) ),
inference(resolve,[$cnf( $equal(xor(t2,or(t5,and(t2,t4))),xor(t2,or(t5,and(t2,t4)))) )],[refute_0_21611,refute_0_21612]) ).
cnf(refute_0_21614,plain,
xor(t2,or(t5,and(t2,t4))) = xor(t2,or(t2,t5)),
inference(resolve,[$cnf( $equal(or(t5,and(t2,t4)),or(t2,t5)) )],[refute_0_21610,refute_0_21613]) ).
cnf(refute_0_21615,plain,
or(t2,xor(t2,or(t5,and(t2,t4)))) = or(t2,xor(t2,or(t5,and(t2,t4)))),
introduced(tautology,[refl,[$fot(or(t2,xor(t2,or(t5,and(t2,t4)))))]]) ).
cnf(refute_0_21616,plain,
( or(t2,xor(t2,or(t5,and(t2,t4)))) != or(t2,xor(t2,or(t5,and(t2,t4))))
| xor(t2,or(t5,and(t2,t4))) != xor(t2,or(t2,t5))
| or(t2,xor(t2,or(t5,and(t2,t4)))) = or(t2,xor(t2,or(t2,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,xor(t2,or(t5,and(t2,t4)))),or(t2,xor(t2,or(t5,and(t2,t4))))) ),[1,1],$fot(xor(t2,or(t2,t5)))]]) ).
cnf(refute_0_21617,plain,
( xor(t2,or(t5,and(t2,t4))) != xor(t2,or(t2,t5))
| or(t2,xor(t2,or(t5,and(t2,t4)))) = or(t2,xor(t2,or(t2,t5))) ),
inference(resolve,[$cnf( $equal(or(t2,xor(t2,or(t5,and(t2,t4)))),or(t2,xor(t2,or(t5,and(t2,t4))))) )],[refute_0_21615,refute_0_21616]) ).
cnf(refute_0_21618,plain,
or(t2,xor(t2,or(t5,and(t2,t4)))) = or(t2,xor(t2,or(t2,t5))),
inference(resolve,[$cnf( $equal(xor(t2,or(t5,and(t2,t4))),xor(t2,or(t2,t5))) )],[refute_0_21614,refute_0_21617]) ).
cnf(refute_0_21619,plain,
( or(t2,xor(t2,or(t5,and(t2,t4)))) != or(t2,xor(t2,or(t2,t5)))
| or(t2,xor(t2,or(t5,and(t2,t4)))) != or(t5,and(t2,t4))
| or(t2,xor(t2,or(t2,t5))) = or(t5,and(t2,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,xor(t2,or(t5,and(t2,t4)))),or(t5,and(t2,t4))) ),[0],$fot(or(t2,xor(t2,or(t2,t5))))]]) ).
cnf(refute_0_21620,plain,
( or(t2,xor(t2,or(t5,and(t2,t4)))) != or(t5,and(t2,t4))
| or(t2,xor(t2,or(t2,t5))) = or(t5,and(t2,t4)) ),
inference(resolve,[$cnf( $equal(or(t2,xor(t2,or(t5,and(t2,t4)))),or(t2,xor(t2,or(t2,t5)))) )],[refute_0_21618,refute_0_21619]) ).
cnf(refute_0_21621,plain,
( or(t2,xor(t2,or(t2,t5))) != or(t5,and(t2,t4))
| or(t5,and(t2,t4)) != or(t2,t5)
| or(t2,xor(t2,or(t2,t5))) = or(t2,t5) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(t2,xor(t2,or(t2,t5))),or(t2,t5)) ),[0],$fot(or(t5,and(t2,t4)))]]) ).
cnf(refute_0_21622,plain,
( or(t2,xor(t2,or(t2,t5))) != or(t5,and(t2,t4))
| or(t2,xor(t2,or(t2,t5))) = or(t2,t5) ),
inference(resolve,[$cnf( $equal(or(t5,and(t2,t4)),or(t2,t5)) )],[refute_0_21610,refute_0_21621]) ).
cnf(refute_0_21623,plain,
( or(t2,xor(t2,or(t5,and(t2,t4)))) != or(t5,and(t2,t4))
| or(t2,xor(t2,or(t2,t5))) = or(t2,t5) ),
inference(resolve,[$cnf( $equal(or(t2,xor(t2,or(t2,t5))),or(t5,and(t2,t4))) )],[refute_0_21620,refute_0_21622]) ).
cnf(refute_0_21624,plain,
or(t2,xor(t2,or(t2,t5))) = or(t2,t5),
inference(resolve,[$cnf( $equal(or(t2,xor(t2,or(t5,and(t2,t4)))),or(t5,and(t2,t4))) )],[refute_0_21592,refute_0_21623]) ).
cnf(refute_0_21625,plain,
xor(t2,or(t2,t5)) = xor(t2,or(t2,t5)),
introduced(tautology,[refl,[$fot(xor(t2,or(t2,t5)))]]) ).
cnf(refute_0_21626,plain,
( or(t2,t5) != or(b,t5)
| xor(t2,or(t2,t5)) != xor(t2,or(t2,t5))
| xor(t2,or(t2,t5)) = xor(t2,or(b,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,or(t2,t5)),xor(t2,or(t2,t5))) ),[1,1],$fot(or(b,t5))]]) ).
cnf(refute_0_21627,plain,
( or(t2,t5) != or(b,t5)
| xor(t2,or(t2,t5)) = xor(t2,or(b,t5)) ),
inference(resolve,[$cnf( $equal(xor(t2,or(t2,t5)),xor(t2,or(t2,t5))) )],[refute_0_21625,refute_0_21626]) ).
cnf(refute_0_21628,plain,
xor(t2,or(t2,t5)) = xor(t2,or(b,t5)),
inference(resolve,[$cnf( $equal(or(t2,t5),or(b,t5)) )],[refute_0_14337,refute_0_21627]) ).
cnf(refute_0_21629,plain,
or(t2,xor(t2,or(t2,t5))) = or(t2,xor(t2,or(t2,t5))),
introduced(tautology,[refl,[$fot(or(t2,xor(t2,or(t2,t5))))]]) ).
cnf(refute_0_21630,plain,
( or(t2,xor(t2,or(t2,t5))) != or(t2,xor(t2,or(t2,t5)))
| xor(t2,or(t2,t5)) != xor(t2,or(b,t5))
| or(t2,xor(t2,or(t2,t5))) = or(t2,xor(t2,or(b,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,xor(t2,or(t2,t5))),or(t2,xor(t2,or(t2,t5)))) ),[1,1],$fot(xor(t2,or(b,t5)))]]) ).
cnf(refute_0_21631,plain,
( xor(t2,or(t2,t5)) != xor(t2,or(b,t5))
| or(t2,xor(t2,or(t2,t5))) = or(t2,xor(t2,or(b,t5))) ),
inference(resolve,[$cnf( $equal(or(t2,xor(t2,or(t2,t5))),or(t2,xor(t2,or(t2,t5)))) )],[refute_0_21629,refute_0_21630]) ).
cnf(refute_0_21632,plain,
or(t2,xor(t2,or(t2,t5))) = or(t2,xor(t2,or(b,t5))),
inference(resolve,[$cnf( $equal(xor(t2,or(t2,t5)),xor(t2,or(b,t5))) )],[refute_0_21628,refute_0_21631]) ).
cnf(refute_0_21633,plain,
( or(t2,xor(t2,or(t2,t5))) != or(t2,t5)
| or(t2,xor(t2,or(t2,t5))) != or(t2,xor(t2,or(b,t5)))
| or(t2,xor(t2,or(b,t5))) = or(t2,t5) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,xor(t2,or(t2,t5))),or(t2,t5)) ),[0],$fot(or(t2,xor(t2,or(b,t5))))]]) ).
cnf(refute_0_21634,plain,
( or(t2,xor(t2,or(t2,t5))) != or(t2,t5)
| or(t2,xor(t2,or(b,t5))) = or(t2,t5) ),
inference(resolve,[$cnf( $equal(or(t2,xor(t2,or(t2,t5))),or(t2,xor(t2,or(b,t5)))) )],[refute_0_21632,refute_0_21633]) ).
cnf(refute_0_21635,plain,
( or(t2,t5) != or(b,t5)
| or(t2,xor(t2,or(b,t5))) != or(t2,t5)
| or(t2,xor(t2,or(b,t5))) = or(b,t5) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,xor(t2,or(b,t5))),or(t2,t5)) ),[1],$fot(or(b,t5))]]) ).
cnf(refute_0_21636,plain,
( or(t2,xor(t2,or(b,t5))) != or(t2,t5)
| or(t2,xor(t2,or(b,t5))) = or(b,t5) ),
inference(resolve,[$cnf( $equal(or(t2,t5),or(b,t5)) )],[refute_0_14337,refute_0_21635]) ).
cnf(refute_0_21637,plain,
( or(t2,xor(t2,or(t2,t5))) != or(t2,t5)
| or(t2,xor(t2,or(b,t5))) = or(b,t5) ),
inference(resolve,[$cnf( $equal(or(t2,xor(t2,or(b,t5))),or(t2,t5)) )],[refute_0_21634,refute_0_21636]) ).
cnf(refute_0_21638,plain,
or(t2,xor(t2,or(b,t5))) = or(b,t5),
inference(resolve,[$cnf( $equal(or(t2,xor(t2,or(t2,t5))),or(t2,t5)) )],[refute_0_21624,refute_0_21637]) ).
cnf(refute_0_21639,plain,
not(and(or(b,t6),not(t2))) = not(and(not(t2),or(b,t6))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(not(t2))),bind(X_32,$fot(or(b,t6)))]]) ).
cnf(refute_0_21640,plain,
( and(not(t2),or(b,t6)) != xor(t2,or(b,t6))
| not(and(or(b,t6),not(t2))) != not(and(not(t2),or(b,t6)))
| not(and(or(b,t6),not(t2))) = not(xor(t2,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(b,t6),not(t2))),not(and(not(t2),or(b,t6)))) ),[1,0],$fot(xor(t2,or(b,t6)))]]) ).
cnf(refute_0_21641,plain,
( not(and(or(b,t6),not(t2))) != not(and(not(t2),or(b,t6)))
| not(and(or(b,t6),not(t2))) = not(xor(t2,or(b,t6))) ),
inference(resolve,[$cnf( $equal(and(not(t2),or(b,t6)),xor(t2,or(b,t6))) )],[refute_0_19367,refute_0_21640]) ).
cnf(refute_0_21642,plain,
not(and(or(b,t6),not(t2))) = not(xor(t2,or(b,t6))),
inference(resolve,[$cnf( $equal(not(and(or(b,t6),not(t2))),not(and(not(t2),or(b,t6)))) )],[refute_0_21639,refute_0_21641]) ).
cnf(refute_0_21643,plain,
not(and(not(t2),or(b,t6))) = or(t2,not(or(b,t6))),
inference(subst,[],[refute_0_787:[bind(X,$fot(t2)),bind(X_32,$fot(or(b,t6)))]]) ).
cnf(refute_0_21644,plain,
( not(and(not(t2),or(b,t6))) != or(t2,not(or(b,t6)))
| not(and(or(b,t6),not(t2))) != not(and(not(t2),or(b,t6)))
| not(and(or(b,t6),not(t2))) = or(t2,not(or(b,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(or(b,t6),not(t2))))),bind(Y0,$fot(not(and(not(t2),or(b,t6))))),bind(Z0,$fot(or(t2,not(or(b,t6)))))]]) ).
cnf(refute_0_21645,plain,
( not(and(not(t2),or(b,t6))) != or(t2,not(or(b,t6)))
| not(and(or(b,t6),not(t2))) = or(t2,not(or(b,t6))) ),
inference(resolve,[$cnf( $equal(not(and(or(b,t6),not(t2))),not(and(not(t2),or(b,t6)))) )],[refute_0_21639,refute_0_21644]) ).
cnf(refute_0_21646,plain,
not(and(or(b,t6),not(t2))) = or(t2,not(or(b,t6))),
inference(resolve,[$cnf( $equal(not(and(not(t2),or(b,t6))),or(t2,not(or(b,t6)))) )],[refute_0_21643,refute_0_21645]) ).
cnf(refute_0_21647,plain,
( not(and(or(b,t6),not(t2))) != not(xor(t2,or(b,t6)))
| not(and(or(b,t6),not(t2))) != or(t2,not(or(b,t6)))
| or(t2,not(or(b,t6))) = not(xor(t2,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(b,t6),not(t2))),not(xor(t2,or(b,t6)))) ),[0],$fot(or(t2,not(or(b,t6))))]]) ).
cnf(refute_0_21648,plain,
( not(and(or(b,t6),not(t2))) != not(xor(t2,or(b,t6)))
| or(t2,not(or(b,t6))) = not(xor(t2,or(b,t6))) ),
inference(resolve,[$cnf( $equal(not(and(or(b,t6),not(t2))),or(t2,not(or(b,t6)))) )],[refute_0_21646,refute_0_21647]) ).
cnf(refute_0_21649,plain,
or(t2,not(or(b,t6))) = not(xor(t2,or(b,t6))),
inference(resolve,[$cnf( $equal(not(and(or(b,t6),not(t2))),not(xor(t2,or(b,t6)))) )],[refute_0_21642,refute_0_21648]) ).
cnf(refute_0_21650,plain,
( not(xor(t2,or(b,t6))) != xor(t4,and(t3,t6))
| or(t2,not(or(b,t6))) != not(xor(t2,or(b,t6)))
| or(t2,not(or(b,t6))) = xor(t4,and(t3,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,not(or(b,t6))),not(xor(t2,or(b,t6)))) ),[1],$fot(xor(t4,and(t3,t6)))]]) ).
cnf(refute_0_21651,plain,
( or(t2,not(or(b,t6))) != not(xor(t2,or(b,t6)))
| or(t2,not(or(b,t6))) = xor(t4,and(t3,t6)) ),
inference(resolve,[$cnf( $equal(not(xor(t2,or(b,t6))),xor(t4,and(t3,t6))) )],[refute_0_20612,refute_0_21650]) ).
cnf(refute_0_21652,plain,
or(t2,not(or(b,t6))) = xor(t4,and(t3,t6)),
inference(resolve,[$cnf( $equal(or(t2,not(or(b,t6))),not(xor(t2,or(b,t6)))) )],[refute_0_21649,refute_0_21651]) ).
cnf(refute_0_21653,plain,
( or(t2,not(or(b,t6))) != xor(t4,and(t3,t6))
| xor(t4,and(t3,t6)) != or(t2,not(t6))
| or(t2,not(or(b,t6))) = or(t2,not(t6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(t2,not(or(b,t6))),or(t2,not(t6))) ),[0],$fot(xor(t4,and(t3,t6)))]]) ).
cnf(refute_0_21654,plain,
( or(t2,not(or(b,t6))) != xor(t4,and(t3,t6))
| or(t2,not(or(b,t6))) = or(t2,not(t6)) ),
inference(resolve,[$cnf( $equal(xor(t4,and(t3,t6)),or(t2,not(t6))) )],[refute_0_21014,refute_0_21653]) ).
cnf(refute_0_21655,plain,
or(t2,not(or(b,t6))) = or(t2,not(t6)),
inference(resolve,[$cnf( $equal(or(t2,not(or(b,t6))),xor(t4,and(t3,t6))) )],[refute_0_21652,refute_0_21654]) ).
cnf(refute_0_21656,plain,
or(and(t3,not(xor(t4,or(b,t5)))),and(not(t3),xor(t4,or(b,t5)))) = xor(t3,xor(t4,or(b,t5))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t3)),bind(Y,$fot(xor(t4,or(b,t5))))]]) ).
cnf(refute_0_21657,plain,
and(or(t3,not(xor(t4,or(b,t5)))),not(or(not(xor(t4,or(b,t5))),t3))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(not(xor(t4,or(b,t5))))),bind(X_28,$fot(t3))]]) ).
cnf(refute_0_21658,plain,
ll1 = or(t3,not(xor(t3,and(a,and(not(t2),X_495))))),
inference(subst,[],[refute_0_14371:[bind(X_162,$fot(and(not(t2),X_495)))]]) ).
cnf(refute_0_21659,plain,
and(not(t2),X_495) = and(a,and(not(t2),X_495)),
inference(subst,[],[refute_0_20474:[bind(X_222,$fot(X_495))]]) ).
cnf(refute_0_21660,plain,
( and(not(t2),X_495) != and(a,and(not(t2),X_495))
| and(a,and(not(t2),X_495)) = and(not(t2),X_495) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t2),X_495))),bind(Y0,$fot(and(a,and(not(t2),X_495))))]]) ).
cnf(refute_0_21661,plain,
and(a,and(not(t2),X_495)) = and(not(t2),X_495),
inference(resolve,[$cnf( $equal(and(not(t2),X_495),and(a,and(not(t2),X_495))) )],[refute_0_21659,refute_0_21660]) ).
cnf(refute_0_21662,plain,
( and(a,and(not(t2),X_495)) != and(not(t2),X_495)
| ll1 != or(t3,not(xor(t3,and(a,and(not(t2),X_495)))))
| ll1 = or(t3,not(xor(t3,and(not(t2),X_495)))) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t3,not(xor(t3,and(a,and(not(t2),X_495)))))) ),[1,1,0,1],$fot(and(not(t2),X_495))]]) ).
cnf(refute_0_21663,plain,
( ll1 != or(t3,not(xor(t3,and(a,and(not(t2),X_495)))))
| ll1 = or(t3,not(xor(t3,and(not(t2),X_495)))) ),
inference(resolve,[$cnf( $equal(and(a,and(not(t2),X_495)),and(not(t2),X_495)) )],[refute_0_21661,refute_0_21662]) ).
cnf(refute_0_21664,plain,
ll1 = or(t3,not(xor(t3,and(not(t2),X_495)))),
inference(resolve,[$cnf( $equal(ll1,or(t3,not(xor(t3,and(a,and(not(t2),X_495)))))) )],[refute_0_21658,refute_0_21663]) ).
cnf(refute_0_21665,plain,
not(xor(X_377,and(not(X),X_32))) = xor(X_377,not(and(not(X),X_32))),
inference(subst,[],[refute_0_1137:[bind(X_333,$fot(X_377)),bind(X_334,$fot(and(not(X),X_32)))]]) ).
cnf(refute_0_21666,plain,
( not(and(not(X),X_32)) != or(X,not(X_32))
| not(xor(X_377,and(not(X),X_32))) != xor(X_377,not(and(not(X),X_32)))
| not(xor(X_377,and(not(X),X_32))) = xor(X_377,or(X,not(X_32))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(X_377,and(not(X),X_32))),xor(X_377,not(and(not(X),X_32)))) ),[1,1],$fot(or(X,not(X_32)))]]) ).
cnf(refute_0_21667,plain,
( not(xor(X_377,and(not(X),X_32))) != xor(X_377,not(and(not(X),X_32)))
| not(xor(X_377,and(not(X),X_32))) = xor(X_377,or(X,not(X_32))) ),
inference(resolve,[$cnf( $equal(not(and(not(X),X_32)),or(X,not(X_32))) )],[refute_0_787,refute_0_21666]) ).
cnf(refute_0_21668,plain,
not(xor(X_377,and(not(X),X_32))) = xor(X_377,or(X,not(X_32))),
inference(resolve,[$cnf( $equal(not(xor(X_377,and(not(X),X_32))),xor(X_377,not(and(not(X),X_32)))) )],[refute_0_21665,refute_0_21667]) ).
cnf(refute_0_21669,plain,
not(xor(t3,and(not(t2),X_495))) = xor(t3,or(t2,not(X_495))),
inference(subst,[],[refute_0_21668:[bind(X,$fot(t2)),bind(X_32,$fot(X_495)),bind(X_377,$fot(t3))]]) ).
cnf(refute_0_21670,plain,
or(t3,not(xor(t3,and(not(t2),X_495)))) = or(t3,not(xor(t3,and(not(t2),X_495)))),
introduced(tautology,[refl,[$fot(or(t3,not(xor(t3,and(not(t2),X_495)))))]]) ).
cnf(refute_0_21671,plain,
( not(xor(t3,and(not(t2),X_495))) != xor(t3,or(t2,not(X_495)))
| or(t3,not(xor(t3,and(not(t2),X_495)))) != or(t3,not(xor(t3,and(not(t2),X_495))))
| or(t3,not(xor(t3,and(not(t2),X_495)))) = or(t3,xor(t3,or(t2,not(X_495)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,not(xor(t3,and(not(t2),X_495)))),or(t3,not(xor(t3,and(not(t2),X_495))))) ),[1,1],$fot(xor(t3,or(t2,not(X_495))))]]) ).
cnf(refute_0_21672,plain,
( not(xor(t3,and(not(t2),X_495))) != xor(t3,or(t2,not(X_495)))
| or(t3,not(xor(t3,and(not(t2),X_495)))) = or(t3,xor(t3,or(t2,not(X_495)))) ),
inference(resolve,[$cnf( $equal(or(t3,not(xor(t3,and(not(t2),X_495)))),or(t3,not(xor(t3,and(not(t2),X_495))))) )],[refute_0_21670,refute_0_21671]) ).
cnf(refute_0_21673,plain,
or(t3,not(xor(t3,and(not(t2),X_495)))) = or(t3,xor(t3,or(t2,not(X_495)))),
inference(resolve,[$cnf( $equal(not(xor(t3,and(not(t2),X_495))),xor(t3,or(t2,not(X_495)))) )],[refute_0_21669,refute_0_21672]) ).
cnf(refute_0_21674,plain,
( ll1 != or(t3,not(xor(t3,and(not(t2),X_495))))
| or(t3,not(xor(t3,and(not(t2),X_495)))) != or(t3,xor(t3,or(t2,not(X_495))))
| ll1 = or(t3,xor(t3,or(t2,not(X_495)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll1,or(t3,xor(t3,or(t2,not(X_495))))) ),[0],$fot(or(t3,not(xor(t3,and(not(t2),X_495)))))]]) ).
cnf(refute_0_21675,plain,
( ll1 != or(t3,not(xor(t3,and(not(t2),X_495))))
| ll1 = or(t3,xor(t3,or(t2,not(X_495)))) ),
inference(resolve,[$cnf( $equal(or(t3,not(xor(t3,and(not(t2),X_495)))),or(t3,xor(t3,or(t2,not(X_495))))) )],[refute_0_21673,refute_0_21674]) ).
cnf(refute_0_21676,plain,
ll1 = or(t3,xor(t3,or(t2,not(X_495)))),
inference(resolve,[$cnf( $equal(ll1,or(t3,not(xor(t3,and(not(t2),X_495))))) )],[refute_0_21664,refute_0_21675]) ).
cnf(refute_0_21677,plain,
ll1 = or(t3,xor(t3,or(t2,not(or(b,t5))))),
inference(subst,[],[refute_0_21676:[bind(X_495,$fot(or(b,t5)))]]) ).
cnf(refute_0_21678,plain,
not(and(or(t5,and(t2,t4)),not(t2))) = not(and(not(t2),or(t5,and(t2,t4)))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(not(t2))),bind(X_32,$fot(or(t5,and(t2,t4))))]]) ).
cnf(refute_0_21679,plain,
( and(not(t2),or(t5,and(t2,t4))) != xor(t2,or(t5,and(t2,t4)))
| not(and(or(t5,and(t2,t4)),not(t2))) != not(and(not(t2),or(t5,and(t2,t4))))
| not(and(or(t5,and(t2,t4)),not(t2))) = not(xor(t2,or(t5,and(t2,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(t5,and(t2,t4)),not(t2))),not(and(not(t2),or(t5,and(t2,t4))))) ),[1,0],$fot(xor(t2,or(t5,and(t2,t4))))]]) ).
cnf(refute_0_21680,plain,
( not(and(or(t5,and(t2,t4)),not(t2))) != not(and(not(t2),or(t5,and(t2,t4))))
| not(and(or(t5,and(t2,t4)),not(t2))) = not(xor(t2,or(t5,and(t2,t4)))) ),
inference(resolve,[$cnf( $equal(and(not(t2),or(t5,and(t2,t4))),xor(t2,or(t5,and(t2,t4)))) )],[refute_0_21553,refute_0_21679]) ).
cnf(refute_0_21681,plain,
not(and(or(t5,and(t2,t4)),not(t2))) = not(xor(t2,or(t5,and(t2,t4)))),
inference(resolve,[$cnf( $equal(not(and(or(t5,and(t2,t4)),not(t2))),not(and(not(t2),or(t5,and(t2,t4))))) )],[refute_0_21678,refute_0_21680]) ).
cnf(refute_0_21682,plain,
not(and(not(t2),or(t5,and(t2,t4)))) = or(t2,not(or(t5,and(t2,t4)))),
inference(subst,[],[refute_0_787:[bind(X,$fot(t2)),bind(X_32,$fot(or(t5,and(t2,t4))))]]) ).
cnf(refute_0_21683,plain,
( not(and(not(t2),or(t5,and(t2,t4)))) != or(t2,not(or(t5,and(t2,t4))))
| not(and(or(t5,and(t2,t4)),not(t2))) != not(and(not(t2),or(t5,and(t2,t4))))
| not(and(or(t5,and(t2,t4)),not(t2))) = or(t2,not(or(t5,and(t2,t4)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(or(t5,and(t2,t4)),not(t2))))),bind(Y0,$fot(not(and(not(t2),or(t5,and(t2,t4)))))),bind(Z0,$fot(or(t2,not(or(t5,and(t2,t4))))))]]) ).
cnf(refute_0_21684,plain,
( not(and(not(t2),or(t5,and(t2,t4)))) != or(t2,not(or(t5,and(t2,t4))))
| not(and(or(t5,and(t2,t4)),not(t2))) = or(t2,not(or(t5,and(t2,t4)))) ),
inference(resolve,[$cnf( $equal(not(and(or(t5,and(t2,t4)),not(t2))),not(and(not(t2),or(t5,and(t2,t4))))) )],[refute_0_21678,refute_0_21683]) ).
cnf(refute_0_21685,plain,
not(and(or(t5,and(t2,t4)),not(t2))) = or(t2,not(or(t5,and(t2,t4)))),
inference(resolve,[$cnf( $equal(not(and(not(t2),or(t5,and(t2,t4)))),or(t2,not(or(t5,and(t2,t4))))) )],[refute_0_21682,refute_0_21684]) ).
cnf(refute_0_21686,plain,
( not(and(or(t5,and(t2,t4)),not(t2))) != not(xor(t2,or(t5,and(t2,t4))))
| not(and(or(t5,and(t2,t4)),not(t2))) != or(t2,not(or(t5,and(t2,t4))))
| or(t2,not(or(t5,and(t2,t4)))) = not(xor(t2,or(t5,and(t2,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(t5,and(t2,t4)),not(t2))),not(xor(t2,or(t5,and(t2,t4))))) ),[0],$fot(or(t2,not(or(t5,and(t2,t4)))))]]) ).
cnf(refute_0_21687,plain,
( not(and(or(t5,and(t2,t4)),not(t2))) != not(xor(t2,or(t5,and(t2,t4))))
| or(t2,not(or(t5,and(t2,t4)))) = not(xor(t2,or(t5,and(t2,t4)))) ),
inference(resolve,[$cnf( $equal(not(and(or(t5,and(t2,t4)),not(t2))),or(t2,not(or(t5,and(t2,t4))))) )],[refute_0_21685,refute_0_21686]) ).
cnf(refute_0_21688,plain,
or(t2,not(or(t5,and(t2,t4)))) = not(xor(t2,or(t5,and(t2,t4)))),
inference(resolve,[$cnf( $equal(not(and(or(t5,and(t2,t4)),not(t2))),not(xor(t2,or(t5,and(t2,t4))))) )],[refute_0_21681,refute_0_21687]) ).
cnf(refute_0_21689,plain,
not(or(t5,and(t2,t4))) = not(or(t5,and(t2,t4))),
introduced(tautology,[refl,[$fot(not(or(t5,and(t2,t4))))]]) ).
cnf(refute_0_21690,plain,
( not(or(t5,and(t2,t4))) != not(or(t5,and(t2,t4)))
| or(t5,and(t2,t4)) != or(t2,t5)
| not(or(t5,and(t2,t4))) = not(or(t2,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t5,and(t2,t4))),not(or(t5,and(t2,t4)))) ),[1,0],$fot(or(t2,t5))]]) ).
cnf(refute_0_21691,plain,
( or(t5,and(t2,t4)) != or(t2,t5)
| not(or(t5,and(t2,t4))) = not(or(t2,t5)) ),
inference(resolve,[$cnf( $equal(not(or(t5,and(t2,t4))),not(or(t5,and(t2,t4)))) )],[refute_0_21689,refute_0_21690]) ).
cnf(refute_0_21692,plain,
not(or(t5,and(t2,t4))) = not(or(t2,t5)),
inference(resolve,[$cnf( $equal(or(t5,and(t2,t4)),or(t2,t5)) )],[refute_0_21610,refute_0_21691]) ).
cnf(refute_0_21693,plain,
or(t2,not(or(t5,and(t2,t4)))) = or(t2,not(or(t5,and(t2,t4)))),
introduced(tautology,[refl,[$fot(or(t2,not(or(t5,and(t2,t4)))))]]) ).
cnf(refute_0_21694,plain,
( not(or(t5,and(t2,t4))) != not(or(t2,t5))
| or(t2,not(or(t5,and(t2,t4)))) != or(t2,not(or(t5,and(t2,t4))))
| or(t2,not(or(t5,and(t2,t4)))) = or(t2,not(or(t2,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,not(or(t5,and(t2,t4)))),or(t2,not(or(t5,and(t2,t4))))) ),[1,1],$fot(not(or(t2,t5)))]]) ).
cnf(refute_0_21695,plain,
( not(or(t5,and(t2,t4))) != not(or(t2,t5))
| or(t2,not(or(t5,and(t2,t4)))) = or(t2,not(or(t2,t5))) ),
inference(resolve,[$cnf( $equal(or(t2,not(or(t5,and(t2,t4)))),or(t2,not(or(t5,and(t2,t4))))) )],[refute_0_21693,refute_0_21694]) ).
cnf(refute_0_21696,plain,
or(t2,not(or(t5,and(t2,t4)))) = or(t2,not(or(t2,t5))),
inference(resolve,[$cnf( $equal(not(or(t5,and(t2,t4))),not(or(t2,t5))) )],[refute_0_21692,refute_0_21695]) ).
cnf(refute_0_21697,plain,
( or(t2,not(or(t5,and(t2,t4)))) != not(xor(t2,or(t5,and(t2,t4))))
| or(t2,not(or(t5,and(t2,t4)))) != or(t2,not(or(t2,t5)))
| or(t2,not(or(t2,t5))) = not(xor(t2,or(t5,and(t2,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,not(or(t5,and(t2,t4)))),not(xor(t2,or(t5,and(t2,t4))))) ),[0],$fot(or(t2,not(or(t2,t5))))]]) ).
cnf(refute_0_21698,plain,
( or(t2,not(or(t5,and(t2,t4)))) != not(xor(t2,or(t5,and(t2,t4))))
| or(t2,not(or(t2,t5))) = not(xor(t2,or(t5,and(t2,t4)))) ),
inference(resolve,[$cnf( $equal(or(t2,not(or(t5,and(t2,t4)))),or(t2,not(or(t2,t5)))) )],[refute_0_21696,refute_0_21697]) ).
cnf(refute_0_21699,plain,
not(xor(t2,or(t5,and(t2,t4)))) = not(xor(t2,or(t5,and(t2,t4)))),
introduced(tautology,[refl,[$fot(not(xor(t2,or(t5,and(t2,t4)))))]]) ).
cnf(refute_0_21700,plain,
( not(xor(t2,or(t5,and(t2,t4)))) != not(xor(t2,or(t5,and(t2,t4))))
| xor(t2,or(t5,and(t2,t4))) != xor(t2,or(t2,t5))
| not(xor(t2,or(t5,and(t2,t4)))) = not(xor(t2,or(t2,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t2,or(t5,and(t2,t4)))),not(xor(t2,or(t5,and(t2,t4))))) ),[1,0],$fot(xor(t2,or(t2,t5)))]]) ).
cnf(refute_0_21701,plain,
( xor(t2,or(t5,and(t2,t4))) != xor(t2,or(t2,t5))
| not(xor(t2,or(t5,and(t2,t4)))) = not(xor(t2,or(t2,t5))) ),
inference(resolve,[$cnf( $equal(not(xor(t2,or(t5,and(t2,t4)))),not(xor(t2,or(t5,and(t2,t4))))) )],[refute_0_21699,refute_0_21700]) ).
cnf(refute_0_21702,plain,
not(xor(t2,or(t5,and(t2,t4)))) = not(xor(t2,or(t2,t5))),
inference(resolve,[$cnf( $equal(xor(t2,or(t5,and(t2,t4))),xor(t2,or(t2,t5))) )],[refute_0_21614,refute_0_21701]) ).
cnf(refute_0_21703,plain,
( not(xor(t2,or(t5,and(t2,t4)))) != not(xor(t2,or(t2,t5)))
| or(t2,not(or(t2,t5))) != not(xor(t2,or(t5,and(t2,t4))))
| or(t2,not(or(t2,t5))) = not(xor(t2,or(t2,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,not(or(t2,t5))),not(xor(t2,or(t5,and(t2,t4))))) ),[1],$fot(not(xor(t2,or(t2,t5))))]]) ).
cnf(refute_0_21704,plain,
( or(t2,not(or(t2,t5))) != not(xor(t2,or(t5,and(t2,t4))))
| or(t2,not(or(t2,t5))) = not(xor(t2,or(t2,t5))) ),
inference(resolve,[$cnf( $equal(not(xor(t2,or(t5,and(t2,t4)))),not(xor(t2,or(t2,t5)))) )],[refute_0_21702,refute_0_21703]) ).
cnf(refute_0_21705,plain,
( or(t2,not(or(t5,and(t2,t4)))) != not(xor(t2,or(t5,and(t2,t4))))
| or(t2,not(or(t2,t5))) = not(xor(t2,or(t2,t5))) ),
inference(resolve,[$cnf( $equal(or(t2,not(or(t2,t5))),not(xor(t2,or(t5,and(t2,t4))))) )],[refute_0_21698,refute_0_21704]) ).
cnf(refute_0_21706,plain,
or(t2,not(or(t2,t5))) = not(xor(t2,or(t2,t5))),
inference(resolve,[$cnf( $equal(or(t2,not(or(t5,and(t2,t4)))),not(xor(t2,or(t5,and(t2,t4))))) )],[refute_0_21688,refute_0_21705]) ).
cnf(refute_0_21707,plain,
or(t2,not(or(t2,t5))) = or(t2,not(or(t2,t5))),
introduced(tautology,[refl,[$fot(or(t2,not(or(t2,t5))))]]) ).
cnf(refute_0_21708,plain,
( not(or(t2,t5)) != not(or(b,t5))
| or(t2,not(or(t2,t5))) != or(t2,not(or(t2,t5)))
| or(t2,not(or(t2,t5))) = or(t2,not(or(b,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,not(or(t2,t5))),or(t2,not(or(t2,t5)))) ),[1,1],$fot(not(or(b,t5)))]]) ).
cnf(refute_0_21709,plain,
( not(or(t2,t5)) != not(or(b,t5))
| or(t2,not(or(t2,t5))) = or(t2,not(or(b,t5))) ),
inference(resolve,[$cnf( $equal(or(t2,not(or(t2,t5))),or(t2,not(or(t2,t5)))) )],[refute_0_21707,refute_0_21708]) ).
cnf(refute_0_21710,plain,
or(t2,not(or(t2,t5))) = or(t2,not(or(b,t5))),
inference(resolve,[$cnf( $equal(not(or(t2,t5)),not(or(b,t5))) )],[refute_0_14307,refute_0_21709]) ).
cnf(refute_0_21711,plain,
( or(t2,not(or(t2,t5))) != not(xor(t2,or(t2,t5)))
| or(t2,not(or(t2,t5))) != or(t2,not(or(b,t5)))
| or(t2,not(or(b,t5))) = not(xor(t2,or(t2,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,not(or(t2,t5))),not(xor(t2,or(t2,t5)))) ),[0],$fot(or(t2,not(or(b,t5))))]]) ).
cnf(refute_0_21712,plain,
( or(t2,not(or(t2,t5))) != not(xor(t2,or(t2,t5)))
| or(t2,not(or(b,t5))) = not(xor(t2,or(t2,t5))) ),
inference(resolve,[$cnf( $equal(or(t2,not(or(t2,t5))),or(t2,not(or(b,t5)))) )],[refute_0_21710,refute_0_21711]) ).
cnf(refute_0_21713,plain,
or(t2,not(or(b,t5))) = not(xor(t2,or(t2,t5))),
inference(resolve,[$cnf( $equal(or(t2,not(or(t2,t5))),not(xor(t2,or(t2,t5)))) )],[refute_0_21706,refute_0_21712]) ).
cnf(refute_0_21714,plain,
not(xor(t2,or(t2,t5))) = not(xor(t2,or(t2,t5))),
introduced(tautology,[refl,[$fot(not(xor(t2,or(t2,t5))))]]) ).
cnf(refute_0_21715,plain,
( not(xor(t2,or(t2,t5))) != not(xor(t2,or(t2,t5)))
| xor(t2,or(t2,t5)) != xor(t2,or(b,t5))
| not(xor(t2,or(t2,t5))) = not(xor(t2,or(b,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t2,or(t2,t5))),not(xor(t2,or(t2,t5)))) ),[1,0],$fot(xor(t2,or(b,t5)))]]) ).
cnf(refute_0_21716,plain,
( xor(t2,or(t2,t5)) != xor(t2,or(b,t5))
| not(xor(t2,or(t2,t5))) = not(xor(t2,or(b,t5))) ),
inference(resolve,[$cnf( $equal(not(xor(t2,or(t2,t5))),not(xor(t2,or(t2,t5)))) )],[refute_0_21714,refute_0_21715]) ).
cnf(refute_0_21717,plain,
not(xor(t2,or(t2,t5))) = not(xor(t2,or(b,t5))),
inference(resolve,[$cnf( $equal(xor(t2,or(t2,t5)),xor(t2,or(b,t5))) )],[refute_0_21628,refute_0_21716]) ).
cnf(refute_0_21718,plain,
( not(xor(t2,or(t2,t5))) != not(xor(t2,or(b,t5)))
| or(t2,not(or(b,t5))) != not(xor(t2,or(t2,t5)))
| or(t2,not(or(b,t5))) = not(xor(t2,or(b,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,not(or(b,t5))),not(xor(t2,or(t2,t5)))) ),[1],$fot(not(xor(t2,or(b,t5))))]]) ).
cnf(refute_0_21719,plain,
( or(t2,not(or(b,t5))) != not(xor(t2,or(t2,t5)))
| or(t2,not(or(b,t5))) = not(xor(t2,or(b,t5))) ),
inference(resolve,[$cnf( $equal(not(xor(t2,or(t2,t5))),not(xor(t2,or(b,t5)))) )],[refute_0_21717,refute_0_21718]) ).
cnf(refute_0_21720,plain,
or(t2,not(or(b,t5))) = not(xor(t2,or(b,t5))),
inference(resolve,[$cnf( $equal(or(t2,not(or(b,t5))),not(xor(t2,or(t2,t5)))) )],[refute_0_21713,refute_0_21719]) ).
cnf(refute_0_21721,plain,
( ll1 != or(t3,xor(t3,or(t2,not(or(b,t5)))))
| or(t2,not(or(b,t5))) != not(xor(t2,or(b,t5)))
| ll1 = or(t3,xor(t3,not(xor(t2,or(b,t5))))) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t3,xor(t3,or(t2,not(or(b,t5)))))) ),[1,1,1],$fot(not(xor(t2,or(b,t5))))]]) ).
cnf(refute_0_21722,plain,
( ll1 != or(t3,xor(t3,or(t2,not(or(b,t5)))))
| ll1 = or(t3,xor(t3,not(xor(t2,or(b,t5))))) ),
inference(resolve,[$cnf( $equal(or(t2,not(or(b,t5))),not(xor(t2,or(b,t5)))) )],[refute_0_21720,refute_0_21721]) ).
cnf(refute_0_21723,plain,
ll1 = or(t3,xor(t3,not(xor(t2,or(b,t5))))),
inference(resolve,[$cnf( $equal(ll1,or(t3,xor(t3,or(t2,not(or(b,t5)))))) )],[refute_0_21677,refute_0_21722]) ).
cnf(refute_0_21724,plain,
xor(t2,xor(t3,or(b,t5))) = xor(t4,or(b,t5)),
inference(subst,[],[refute_0_18841:[bind(Y,$fot(or(b,t5)))]]) ).
cnf(refute_0_21725,plain,
xor(t3,xor(t2,or(b,t5))) = xor(t2,xor(t3,or(b,t5))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(t2)),bind(X_334,$fot(t3)),bind(X_335,$fot(or(b,t5)))]]) ).
cnf(refute_0_21726,plain,
( xor(t2,xor(t3,or(b,t5))) != xor(t4,or(b,t5))
| xor(t3,xor(t2,or(b,t5))) != xor(t2,xor(t3,or(b,t5)))
| xor(t3,xor(t2,or(b,t5))) = xor(t4,or(b,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t3,xor(t2,or(b,t5))))),bind(Y0,$fot(xor(t2,xor(t3,or(b,t5))))),bind(Z0,$fot(xor(t4,or(b,t5))))]]) ).
cnf(refute_0_21727,plain,
( xor(t2,xor(t3,or(b,t5))) != xor(t4,or(b,t5))
| xor(t3,xor(t2,or(b,t5))) = xor(t4,or(b,t5)) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(t2,or(b,t5))),xor(t2,xor(t3,or(b,t5)))) )],[refute_0_21725,refute_0_21726]) ).
cnf(refute_0_21728,plain,
xor(t3,xor(t2,or(b,t5))) = xor(t4,or(b,t5)),
inference(resolve,[$cnf( $equal(xor(t2,xor(t3,or(b,t5))),xor(t4,or(b,t5))) )],[refute_0_21724,refute_0_21727]) ).
cnf(refute_0_21729,plain,
not(xor(t3,xor(t2,or(b,t5)))) = not(xor(t3,xor(t2,or(b,t5)))),
introduced(tautology,[refl,[$fot(not(xor(t3,xor(t2,or(b,t5)))))]]) ).
cnf(refute_0_21730,plain,
( not(xor(t3,xor(t2,or(b,t5)))) != not(xor(t3,xor(t2,or(b,t5))))
| xor(t3,xor(t2,or(b,t5))) != xor(t4,or(b,t5))
| not(xor(t3,xor(t2,or(b,t5)))) = not(xor(t4,or(b,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t3,xor(t2,or(b,t5)))),not(xor(t3,xor(t2,or(b,t5))))) ),[1,0],$fot(xor(t4,or(b,t5)))]]) ).
cnf(refute_0_21731,plain,
( xor(t3,xor(t2,or(b,t5))) != xor(t4,or(b,t5))
| not(xor(t3,xor(t2,or(b,t5)))) = not(xor(t4,or(b,t5))) ),
inference(resolve,[$cnf( $equal(not(xor(t3,xor(t2,or(b,t5)))),not(xor(t3,xor(t2,or(b,t5))))) )],[refute_0_21729,refute_0_21730]) ).
cnf(refute_0_21732,plain,
not(xor(t3,xor(t2,or(b,t5)))) = not(xor(t4,or(b,t5))),
inference(resolve,[$cnf( $equal(xor(t3,xor(t2,or(b,t5))),xor(t4,or(b,t5))) )],[refute_0_21728,refute_0_21731]) ).
cnf(refute_0_21733,plain,
xor(t3,not(xor(t2,or(b,t5)))) = not(xor(t3,xor(t2,or(b,t5)))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t3)),bind(X_334,$fot(xor(t2,or(b,t5))))]]) ).
cnf(refute_0_21734,plain,
( not(xor(t3,xor(t2,or(b,t5)))) != not(xor(t4,or(b,t5)))
| xor(t3,not(xor(t2,or(b,t5)))) != not(xor(t3,xor(t2,or(b,t5))))
| xor(t3,not(xor(t2,or(b,t5)))) = not(xor(t4,or(b,t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t3,not(xor(t2,or(b,t5)))))),bind(Y0,$fot(not(xor(t3,xor(t2,or(b,t5)))))),bind(Z0,$fot(not(xor(t4,or(b,t5)))))]]) ).
cnf(refute_0_21735,plain,
( not(xor(t3,xor(t2,or(b,t5)))) != not(xor(t4,or(b,t5)))
| xor(t3,not(xor(t2,or(b,t5)))) = not(xor(t4,or(b,t5))) ),
inference(resolve,[$cnf( $equal(xor(t3,not(xor(t2,or(b,t5)))),not(xor(t3,xor(t2,or(b,t5))))) )],[refute_0_21733,refute_0_21734]) ).
cnf(refute_0_21736,plain,
xor(t3,not(xor(t2,or(b,t5)))) = not(xor(t4,or(b,t5))),
inference(resolve,[$cnf( $equal(not(xor(t3,xor(t2,or(b,t5)))),not(xor(t4,or(b,t5)))) )],[refute_0_21732,refute_0_21735]) ).
cnf(refute_0_21737,plain,
or(t3,xor(t3,not(xor(t2,or(b,t5))))) = or(t3,xor(t3,not(xor(t2,or(b,t5))))),
introduced(tautology,[refl,[$fot(or(t3,xor(t3,not(xor(t2,or(b,t5))))))]]) ).
cnf(refute_0_21738,plain,
( or(t3,xor(t3,not(xor(t2,or(b,t5))))) != or(t3,xor(t3,not(xor(t2,or(b,t5)))))
| xor(t3,not(xor(t2,or(b,t5)))) != not(xor(t4,or(b,t5)))
| or(t3,xor(t3,not(xor(t2,or(b,t5))))) = or(t3,not(xor(t4,or(b,t5)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,xor(t3,not(xor(t2,or(b,t5))))),or(t3,xor(t3,not(xor(t2,or(b,t5)))))) ),[1,1],$fot(not(xor(t4,or(b,t5))))]]) ).
cnf(refute_0_21739,plain,
( xor(t3,not(xor(t2,or(b,t5)))) != not(xor(t4,or(b,t5)))
| or(t3,xor(t3,not(xor(t2,or(b,t5))))) = or(t3,not(xor(t4,or(b,t5)))) ),
inference(resolve,[$cnf( $equal(or(t3,xor(t3,not(xor(t2,or(b,t5))))),or(t3,xor(t3,not(xor(t2,or(b,t5)))))) )],[refute_0_21737,refute_0_21738]) ).
cnf(refute_0_21740,plain,
or(t3,xor(t3,not(xor(t2,or(b,t5))))) = or(t3,not(xor(t4,or(b,t5)))),
inference(resolve,[$cnf( $equal(xor(t3,not(xor(t2,or(b,t5)))),not(xor(t4,or(b,t5)))) )],[refute_0_21736,refute_0_21739]) ).
cnf(refute_0_21741,plain,
( ll1 != or(t3,xor(t3,not(xor(t2,or(b,t5)))))
| or(t3,xor(t3,not(xor(t2,or(b,t5))))) != or(t3,not(xor(t4,or(b,t5))))
| ll1 = or(t3,not(xor(t4,or(b,t5)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll1,or(t3,not(xor(t4,or(b,t5))))) ),[0],$fot(or(t3,xor(t3,not(xor(t2,or(b,t5))))))]]) ).
cnf(refute_0_21742,plain,
( ll1 != or(t3,xor(t3,not(xor(t2,or(b,t5)))))
| ll1 = or(t3,not(xor(t4,or(b,t5)))) ),
inference(resolve,[$cnf( $equal(or(t3,xor(t3,not(xor(t2,or(b,t5))))),or(t3,not(xor(t4,or(b,t5))))) )],[refute_0_21740,refute_0_21741]) ).
cnf(refute_0_21743,plain,
ll1 = or(t3,not(xor(t4,or(b,t5)))),
inference(resolve,[$cnf( $equal(ll1,or(t3,xor(t3,not(xor(t2,or(b,t5)))))) )],[refute_0_21723,refute_0_21742]) ).
cnf(refute_0_21744,plain,
( ll1 != or(t3,not(xor(t4,or(b,t5))))
| or(t3,not(xor(t4,or(b,t5)))) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(t3,not(xor(t4,or(b,t5))))))]]) ).
cnf(refute_0_21745,plain,
or(t3,not(xor(t4,or(b,t5)))) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(t3,not(xor(t4,or(b,t5))))) )],[refute_0_21743,refute_0_21744]) ).
cnf(refute_0_21746,plain,
( and(or(t3,not(xor(t4,or(b,t5)))),not(or(not(xor(t4,or(b,t5))),t3))) != ll0
| or(t3,not(xor(t4,or(b,t5)))) != ll1
| and(ll1,not(or(not(xor(t4,or(b,t5))),t3))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(t3,not(xor(t4,or(b,t5)))),not(or(not(xor(t4,or(b,t5))),t3))),ll0) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_21747,plain,
( and(or(t3,not(xor(t4,or(b,t5)))),not(or(not(xor(t4,or(b,t5))),t3))) != ll0
| and(ll1,not(or(not(xor(t4,or(b,t5))),t3))) = ll0 ),
inference(resolve,[$cnf( $equal(or(t3,not(xor(t4,or(b,t5)))),ll1) )],[refute_0_21745,refute_0_21746]) ).
cnf(refute_0_21748,plain,
and(ll1,not(or(not(xor(t4,or(b,t5))),t3))) = ll0,
inference(resolve,[$cnf( $equal(and(or(t3,not(xor(t4,or(b,t5)))),not(or(not(xor(t4,or(b,t5))),t3))),ll0) )],[refute_0_21657,refute_0_21747]) ).
cnf(refute_0_21749,plain,
not(or(t3,not(xor(t4,or(b,t5))))) = and(not(t3),xor(t4,or(b,t5))),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(t4,or(b,t5)))),bind(X_25,$fot(t3))]]) ).
cnf(refute_0_21750,plain,
and(ll1,not(or(t3,not(xor(t4,or(b,t5)))))) = not(or(t3,not(xor(t4,or(b,t5))))),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(or(t3,not(xor(t4,or(b,t5)))))))]]) ).
cnf(refute_0_21751,plain,
( and(ll1,not(or(t3,not(xor(t4,or(b,t5)))))) != not(or(t3,not(xor(t4,or(b,t5)))))
| not(or(t3,not(xor(t4,or(b,t5))))) != and(not(t3),xor(t4,or(b,t5)))
| and(ll1,not(or(t3,not(xor(t4,or(b,t5)))))) = and(not(t3),xor(t4,or(b,t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(t3,not(xor(t4,or(b,t5)))))))),bind(Y0,$fot(not(or(t3,not(xor(t4,or(b,t5))))))),bind(Z0,$fot(and(not(t3),xor(t4,or(b,t5)))))]]) ).
cnf(refute_0_21752,plain,
( not(or(t3,not(xor(t4,or(b,t5))))) != and(not(t3),xor(t4,or(b,t5)))
| and(ll1,not(or(t3,not(xor(t4,or(b,t5)))))) = and(not(t3),xor(t4,or(b,t5))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t3,not(xor(t4,or(b,t5)))))),not(or(t3,not(xor(t4,or(b,t5)))))) )],[refute_0_21750,refute_0_21751]) ).
cnf(refute_0_21753,plain,
and(ll1,not(or(t3,not(xor(t4,or(b,t5)))))) = and(not(t3),xor(t4,or(b,t5))),
inference(resolve,[$cnf( $equal(not(or(t3,not(xor(t4,or(b,t5))))),and(not(t3),xor(t4,or(b,t5)))) )],[refute_0_21749,refute_0_21752]) ).
cnf(refute_0_21754,plain,
and(ll1,not(or(not(xor(t4,or(b,t5))),t3))) = and(ll1,not(or(t3,not(xor(t4,or(b,t5)))))),
inference(subst,[],[refute_0_815:[bind(X_25,$fot(t3)),bind(X_26,$fot(not(xor(t4,or(b,t5))))),bind(X_29,$fot(ll1))]]) ).
cnf(refute_0_21755,plain,
( and(ll1,not(or(not(xor(t4,or(b,t5))),t3))) != and(ll1,not(or(t3,not(xor(t4,or(b,t5))))))
| and(ll1,not(or(t3,not(xor(t4,or(b,t5)))))) != and(not(t3),xor(t4,or(b,t5)))
| and(ll1,not(or(not(xor(t4,or(b,t5))),t3))) = and(not(t3),xor(t4,or(b,t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(xor(t4,or(b,t5))),t3))))),bind(Y0,$fot(and(ll1,not(or(t3,not(xor(t4,or(b,t5)))))))),bind(Z0,$fot(and(not(t3),xor(t4,or(b,t5)))))]]) ).
cnf(refute_0_21756,plain,
( and(ll1,not(or(t3,not(xor(t4,or(b,t5)))))) != and(not(t3),xor(t4,or(b,t5)))
| and(ll1,not(or(not(xor(t4,or(b,t5))),t3))) = and(not(t3),xor(t4,or(b,t5))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t4,or(b,t5))),t3))),and(ll1,not(or(t3,not(xor(t4,or(b,t5))))))) )],[refute_0_21754,refute_0_21755]) ).
cnf(refute_0_21757,plain,
and(ll1,not(or(not(xor(t4,or(b,t5))),t3))) = and(not(t3),xor(t4,or(b,t5))),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t3,not(xor(t4,or(b,t5)))))),and(not(t3),xor(t4,or(b,t5)))) )],[refute_0_21753,refute_0_21756]) ).
cnf(refute_0_21758,plain,
( and(ll1,not(or(not(xor(t4,or(b,t5))),t3))) != and(not(t3),xor(t4,or(b,t5)))
| and(ll1,not(or(not(xor(t4,or(b,t5))),t3))) != ll0
| and(not(t3),xor(t4,or(b,t5))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(ll1,not(or(not(xor(t4,or(b,t5))),t3))),ll0) ),[0],$fot(and(not(t3),xor(t4,or(b,t5))))]]) ).
cnf(refute_0_21759,plain,
( and(ll1,not(or(not(xor(t4,or(b,t5))),t3))) != ll0
| and(not(t3),xor(t4,or(b,t5))) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t4,or(b,t5))),t3))),and(not(t3),xor(t4,or(b,t5)))) )],[refute_0_21757,refute_0_21758]) ).
cnf(refute_0_21760,plain,
and(not(t3),xor(t4,or(b,t5))) = ll0,
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t4,or(b,t5))),t3))),ll0) )],[refute_0_21748,refute_0_21759]) ).
cnf(refute_0_21761,plain,
( and(not(t3),xor(t4,or(b,t5))) != ll0
| or(and(t3,not(xor(t4,or(b,t5)))),and(not(t3),xor(t4,or(b,t5)))) != xor(t3,xor(t4,or(b,t5)))
| or(and(t3,not(xor(t4,or(b,t5)))),ll0) = xor(t3,xor(t4,or(b,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t3,not(xor(t4,or(b,t5)))),and(not(t3),xor(t4,or(b,t5)))),xor(t3,xor(t4,or(b,t5)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_21762,plain,
( or(and(t3,not(xor(t4,or(b,t5)))),and(not(t3),xor(t4,or(b,t5)))) != xor(t3,xor(t4,or(b,t5)))
| or(and(t3,not(xor(t4,or(b,t5)))),ll0) = xor(t3,xor(t4,or(b,t5))) ),
inference(resolve,[$cnf( $equal(and(not(t3),xor(t4,or(b,t5))),ll0) )],[refute_0_21760,refute_0_21761]) ).
cnf(refute_0_21763,plain,
or(and(t3,not(xor(t4,or(b,t5)))),ll0) = xor(t3,xor(t4,or(b,t5))),
inference(resolve,[$cnf( $equal(or(and(t3,not(xor(t4,or(b,t5)))),and(not(t3),xor(t4,or(b,t5)))),xor(t3,xor(t4,or(b,t5)))) )],[refute_0_21656,refute_0_21762]) ).
cnf(refute_0_21764,plain,
or(and(t3,not(xor(t4,or(b,t5)))),ll0) = and(t3,not(xor(t4,or(b,t5)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t3,not(xor(t4,or(b,t5))))))]]) ).
cnf(refute_0_21765,plain,
( or(and(t3,not(xor(t4,or(b,t5)))),ll0) != and(t3,not(xor(t4,or(b,t5))))
| or(and(t3,not(xor(t4,or(b,t5)))),ll0) != xor(t3,xor(t4,or(b,t5)))
| and(t3,not(xor(t4,or(b,t5)))) = xor(t3,xor(t4,or(b,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t3,not(xor(t4,or(b,t5)))),ll0),xor(t3,xor(t4,or(b,t5)))) ),[0],$fot(and(t3,not(xor(t4,or(b,t5)))))]]) ).
cnf(refute_0_21766,plain,
( or(and(t3,not(xor(t4,or(b,t5)))),ll0) != xor(t3,xor(t4,or(b,t5)))
| and(t3,not(xor(t4,or(b,t5)))) = xor(t3,xor(t4,or(b,t5))) ),
inference(resolve,[$cnf( $equal(or(and(t3,not(xor(t4,or(b,t5)))),ll0),and(t3,not(xor(t4,or(b,t5))))) )],[refute_0_21764,refute_0_21765]) ).
cnf(refute_0_21767,plain,
xor(t3,xor(t4,or(b,t5))) = xor(t2,or(b,t5)),
inference(subst,[],[refute_0_2264:[bind(Z,$fot(or(b,t5)))]]) ).
cnf(refute_0_21768,plain,
( and(t3,not(xor(t4,or(b,t5)))) != xor(t3,xor(t4,or(b,t5)))
| xor(t3,xor(t4,or(b,t5))) != xor(t2,or(b,t5))
| and(t3,not(xor(t4,or(b,t5)))) = xor(t2,or(b,t5)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t3,not(xor(t4,or(b,t5)))),xor(t2,or(b,t5))) ),[0],$fot(xor(t3,xor(t4,or(b,t5))))]]) ).
cnf(refute_0_21769,plain,
( and(t3,not(xor(t4,or(b,t5)))) != xor(t3,xor(t4,or(b,t5)))
| and(t3,not(xor(t4,or(b,t5)))) = xor(t2,or(b,t5)) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(t4,or(b,t5))),xor(t2,or(b,t5))) )],[refute_0_21767,refute_0_21768]) ).
cnf(refute_0_21770,plain,
( or(and(t3,not(xor(t4,or(b,t5)))),ll0) != xor(t3,xor(t4,or(b,t5)))
| and(t3,not(xor(t4,or(b,t5)))) = xor(t2,or(b,t5)) ),
inference(resolve,[$cnf( $equal(and(t3,not(xor(t4,or(b,t5)))),xor(t3,xor(t4,or(b,t5)))) )],[refute_0_21766,refute_0_21769]) ).
cnf(refute_0_21771,plain,
and(t3,not(xor(t4,or(b,t5)))) = xor(t2,or(b,t5)),
inference(resolve,[$cnf( $equal(or(and(t3,not(xor(t4,or(b,t5)))),ll0),xor(t3,xor(t4,or(b,t5)))) )],[refute_0_21763,refute_0_21770]) ).
cnf(refute_0_21772,plain,
( and(t3,not(t6)) != not(or(b,t6))
| xor(t3,and(t3,t6)) != and(t3,not(t6))
| xor(t3,and(t3,t6)) = not(or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,and(t3,t6)),and(t3,not(t6))) ),[1],$fot(not(or(b,t6)))]]) ).
cnf(refute_0_21773,plain,
( xor(t3,and(t3,t6)) != and(t3,not(t6))
| xor(t3,and(t3,t6)) = not(or(b,t6)) ),
inference(resolve,[$cnf( $equal(and(t3,not(t6)),not(or(b,t6))) )],[refute_0_20600,refute_0_21772]) ).
cnf(refute_0_21774,plain,
xor(t3,and(t3,t6)) = not(or(b,t6)),
inference(resolve,[$cnf( $equal(xor(t3,and(t3,t6)),and(t3,not(t6))) )],[refute_0_20515,refute_0_21773]) ).
cnf(refute_0_21775,plain,
and(t3,not(and(t3,t6))) = xor(t3,and(t3,t6)),
inference(subst,[],[refute_0_12636:[bind(X,$fot(t3)),bind(X_282,$fot(t6))]]) ).
cnf(refute_0_21776,plain,
( and(t3,not(and(t3,t6))) != xor(t3,and(t3,t6))
| xor(t3,and(t3,t6)) != not(or(b,t6))
| and(t3,not(and(t3,t6))) = not(or(b,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t3,not(and(t3,t6))))),bind(Y0,$fot(xor(t3,and(t3,t6)))),bind(Z0,$fot(not(or(b,t6))))]]) ).
cnf(refute_0_21777,plain,
( xor(t3,and(t3,t6)) != not(or(b,t6))
| and(t3,not(and(t3,t6))) = not(or(b,t6)) ),
inference(resolve,[$cnf( $equal(and(t3,not(and(t3,t6))),xor(t3,and(t3,t6))) )],[refute_0_21775,refute_0_21776]) ).
cnf(refute_0_21778,plain,
and(t3,not(and(t3,t6))) = not(or(b,t6)),
inference(resolve,[$cnf( $equal(xor(t3,and(t3,t6)),not(or(b,t6))) )],[refute_0_21774,refute_0_21777]) ).
cnf(refute_0_21779,plain,
or(and(t3,not(xor(t2,or(b,t5)))),and(not(t3),xor(t2,or(b,t5)))) = xor(t3,xor(t2,or(b,t5))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t3)),bind(Y,$fot(xor(t2,or(b,t5))))]]) ).
cnf(refute_0_21780,plain,
and(or(t3,not(xor(t2,or(b,t5)))),not(or(not(xor(t2,or(b,t5))),t3))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(not(xor(t2,or(b,t5))))),bind(X_28,$fot(t3))]]) ).
cnf(refute_0_21781,plain,
ll1 = or(t3,not(and(t3,not(xor(t4,or(b,t5)))))),
inference(subst,[],[refute_0_7235:[bind(Y,$fot(not(xor(t4,or(b,t5))))),bind(X_53,$fot(t3))]]) ).
cnf(refute_0_21782,plain,
( and(t3,not(xor(t4,or(b,t5)))) != xor(t2,or(b,t5))
| ll1 != or(t3,not(and(t3,not(xor(t4,or(b,t5))))))
| ll1 = or(t3,not(xor(t2,or(b,t5)))) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t3,not(and(t3,not(xor(t4,or(b,t5))))))) ),[1,1,0],$fot(xor(t2,or(b,t5)))]]) ).
cnf(refute_0_21783,plain,
( ll1 != or(t3,not(and(t3,not(xor(t4,or(b,t5))))))
| ll1 = or(t3,not(xor(t2,or(b,t5)))) ),
inference(resolve,[$cnf( $equal(and(t3,not(xor(t4,or(b,t5)))),xor(t2,or(b,t5))) )],[refute_0_21771,refute_0_21782]) ).
cnf(refute_0_21784,plain,
ll1 = or(t3,not(xor(t2,or(b,t5)))),
inference(resolve,[$cnf( $equal(ll1,or(t3,not(and(t3,not(xor(t4,or(b,t5))))))) )],[refute_0_21781,refute_0_21783]) ).
cnf(refute_0_21785,plain,
( ll1 != or(t3,not(xor(t2,or(b,t5))))
| or(t3,not(xor(t2,or(b,t5)))) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(t3,not(xor(t2,or(b,t5))))))]]) ).
cnf(refute_0_21786,plain,
or(t3,not(xor(t2,or(b,t5)))) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(t3,not(xor(t2,or(b,t5))))) )],[refute_0_21784,refute_0_21785]) ).
cnf(refute_0_21787,plain,
( and(or(t3,not(xor(t2,or(b,t5)))),not(or(not(xor(t2,or(b,t5))),t3))) != ll0
| or(t3,not(xor(t2,or(b,t5)))) != ll1
| and(ll1,not(or(not(xor(t2,or(b,t5))),t3))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(t3,not(xor(t2,or(b,t5)))),not(or(not(xor(t2,or(b,t5))),t3))),ll0) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_21788,plain,
( and(or(t3,not(xor(t2,or(b,t5)))),not(or(not(xor(t2,or(b,t5))),t3))) != ll0
| and(ll1,not(or(not(xor(t2,or(b,t5))),t3))) = ll0 ),
inference(resolve,[$cnf( $equal(or(t3,not(xor(t2,or(b,t5)))),ll1) )],[refute_0_21786,refute_0_21787]) ).
cnf(refute_0_21789,plain,
and(ll1,not(or(not(xor(t2,or(b,t5))),t3))) = ll0,
inference(resolve,[$cnf( $equal(and(or(t3,not(xor(t2,or(b,t5)))),not(or(not(xor(t2,or(b,t5))),t3))),ll0) )],[refute_0_21780,refute_0_21788]) ).
cnf(refute_0_21790,plain,
not(or(t3,not(xor(t2,or(b,t5))))) = and(not(t3),xor(t2,or(b,t5))),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(t2,or(b,t5)))),bind(X_25,$fot(t3))]]) ).
cnf(refute_0_21791,plain,
and(ll1,not(or(t3,not(xor(t2,or(b,t5)))))) = not(or(t3,not(xor(t2,or(b,t5))))),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(or(t3,not(xor(t2,or(b,t5)))))))]]) ).
cnf(refute_0_21792,plain,
( and(ll1,not(or(t3,not(xor(t2,or(b,t5)))))) != not(or(t3,not(xor(t2,or(b,t5)))))
| not(or(t3,not(xor(t2,or(b,t5))))) != and(not(t3),xor(t2,or(b,t5)))
| and(ll1,not(or(t3,not(xor(t2,or(b,t5)))))) = and(not(t3),xor(t2,or(b,t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(t3,not(xor(t2,or(b,t5)))))))),bind(Y0,$fot(not(or(t3,not(xor(t2,or(b,t5))))))),bind(Z0,$fot(and(not(t3),xor(t2,or(b,t5)))))]]) ).
cnf(refute_0_21793,plain,
( not(or(t3,not(xor(t2,or(b,t5))))) != and(not(t3),xor(t2,or(b,t5)))
| and(ll1,not(or(t3,not(xor(t2,or(b,t5)))))) = and(not(t3),xor(t2,or(b,t5))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t3,not(xor(t2,or(b,t5)))))),not(or(t3,not(xor(t2,or(b,t5)))))) )],[refute_0_21791,refute_0_21792]) ).
cnf(refute_0_21794,plain,
and(ll1,not(or(t3,not(xor(t2,or(b,t5)))))) = and(not(t3),xor(t2,or(b,t5))),
inference(resolve,[$cnf( $equal(not(or(t3,not(xor(t2,or(b,t5))))),and(not(t3),xor(t2,or(b,t5)))) )],[refute_0_21790,refute_0_21793]) ).
cnf(refute_0_21795,plain,
and(ll1,not(or(not(xor(t2,or(b,t5))),t3))) = and(ll1,not(or(t3,not(xor(t2,or(b,t5)))))),
inference(subst,[],[refute_0_815:[bind(X_25,$fot(t3)),bind(X_26,$fot(not(xor(t2,or(b,t5))))),bind(X_29,$fot(ll1))]]) ).
cnf(refute_0_21796,plain,
( and(ll1,not(or(not(xor(t2,or(b,t5))),t3))) != and(ll1,not(or(t3,not(xor(t2,or(b,t5))))))
| and(ll1,not(or(t3,not(xor(t2,or(b,t5)))))) != and(not(t3),xor(t2,or(b,t5)))
| and(ll1,not(or(not(xor(t2,or(b,t5))),t3))) = and(not(t3),xor(t2,or(b,t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(xor(t2,or(b,t5))),t3))))),bind(Y0,$fot(and(ll1,not(or(t3,not(xor(t2,or(b,t5)))))))),bind(Z0,$fot(and(not(t3),xor(t2,or(b,t5)))))]]) ).
cnf(refute_0_21797,plain,
( and(ll1,not(or(t3,not(xor(t2,or(b,t5)))))) != and(not(t3),xor(t2,or(b,t5)))
| and(ll1,not(or(not(xor(t2,or(b,t5))),t3))) = and(not(t3),xor(t2,or(b,t5))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t2,or(b,t5))),t3))),and(ll1,not(or(t3,not(xor(t2,or(b,t5))))))) )],[refute_0_21795,refute_0_21796]) ).
cnf(refute_0_21798,plain,
and(ll1,not(or(not(xor(t2,or(b,t5))),t3))) = and(not(t3),xor(t2,or(b,t5))),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t3,not(xor(t2,or(b,t5)))))),and(not(t3),xor(t2,or(b,t5)))) )],[refute_0_21794,refute_0_21797]) ).
cnf(refute_0_21799,plain,
( and(ll1,not(or(not(xor(t2,or(b,t5))),t3))) != and(not(t3),xor(t2,or(b,t5)))
| and(ll1,not(or(not(xor(t2,or(b,t5))),t3))) != ll0
| and(not(t3),xor(t2,or(b,t5))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(ll1,not(or(not(xor(t2,or(b,t5))),t3))),ll0) ),[0],$fot(and(not(t3),xor(t2,or(b,t5))))]]) ).
cnf(refute_0_21800,plain,
( and(ll1,not(or(not(xor(t2,or(b,t5))),t3))) != ll0
| and(not(t3),xor(t2,or(b,t5))) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t2,or(b,t5))),t3))),and(not(t3),xor(t2,or(b,t5)))) )],[refute_0_21798,refute_0_21799]) ).
cnf(refute_0_21801,plain,
and(not(t3),xor(t2,or(b,t5))) = ll0,
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t2,or(b,t5))),t3))),ll0) )],[refute_0_21789,refute_0_21800]) ).
cnf(refute_0_21802,plain,
( and(not(t3),xor(t2,or(b,t5))) != ll0
| or(and(t3,not(xor(t2,or(b,t5)))),and(not(t3),xor(t2,or(b,t5)))) != xor(t3,xor(t2,or(b,t5)))
| or(and(t3,not(xor(t2,or(b,t5)))),ll0) = xor(t3,xor(t2,or(b,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t3,not(xor(t2,or(b,t5)))),and(not(t3),xor(t2,or(b,t5)))),xor(t3,xor(t2,or(b,t5)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_21803,plain,
( or(and(t3,not(xor(t2,or(b,t5)))),and(not(t3),xor(t2,or(b,t5)))) != xor(t3,xor(t2,or(b,t5)))
| or(and(t3,not(xor(t2,or(b,t5)))),ll0) = xor(t3,xor(t2,or(b,t5))) ),
inference(resolve,[$cnf( $equal(and(not(t3),xor(t2,or(b,t5))),ll0) )],[refute_0_21801,refute_0_21802]) ).
cnf(refute_0_21804,plain,
or(and(t3,not(xor(t2,or(b,t5)))),ll0) = xor(t3,xor(t2,or(b,t5))),
inference(resolve,[$cnf( $equal(or(and(t3,not(xor(t2,or(b,t5)))),and(not(t3),xor(t2,or(b,t5)))),xor(t3,xor(t2,or(b,t5)))) )],[refute_0_21779,refute_0_21803]) ).
cnf(refute_0_21805,plain,
or(and(t3,not(xor(t2,or(b,t5)))),ll0) = and(t3,not(xor(t2,or(b,t5)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t3,not(xor(t2,or(b,t5))))))]]) ).
cnf(refute_0_21806,plain,
( or(and(t3,not(xor(t2,or(b,t5)))),ll0) != and(t3,not(xor(t2,or(b,t5))))
| or(and(t3,not(xor(t2,or(b,t5)))),ll0) != xor(t3,xor(t2,or(b,t5)))
| and(t3,not(xor(t2,or(b,t5)))) = xor(t3,xor(t2,or(b,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t3,not(xor(t2,or(b,t5)))),ll0),xor(t3,xor(t2,or(b,t5)))) ),[0],$fot(and(t3,not(xor(t2,or(b,t5)))))]]) ).
cnf(refute_0_21807,plain,
( or(and(t3,not(xor(t2,or(b,t5)))),ll0) != xor(t3,xor(t2,or(b,t5)))
| and(t3,not(xor(t2,or(b,t5)))) = xor(t3,xor(t2,or(b,t5))) ),
inference(resolve,[$cnf( $equal(or(and(t3,not(xor(t2,or(b,t5)))),ll0),and(t3,not(xor(t2,or(b,t5))))) )],[refute_0_21805,refute_0_21806]) ).
cnf(refute_0_21808,plain,
( and(t3,not(xor(t2,or(b,t5)))) != xor(t3,xor(t2,or(b,t5)))
| xor(t3,xor(t2,or(b,t5))) != xor(t4,or(b,t5))
| and(t3,not(xor(t2,or(b,t5)))) = xor(t4,or(b,t5)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t3,not(xor(t2,or(b,t5)))),xor(t4,or(b,t5))) ),[0],$fot(xor(t3,xor(t2,or(b,t5))))]]) ).
cnf(refute_0_21809,plain,
( and(t3,not(xor(t2,or(b,t5)))) != xor(t3,xor(t2,or(b,t5)))
| and(t3,not(xor(t2,or(b,t5)))) = xor(t4,or(b,t5)) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(t2,or(b,t5))),xor(t4,or(b,t5))) )],[refute_0_21728,refute_0_21808]) ).
cnf(refute_0_21810,plain,
( or(and(t3,not(xor(t2,or(b,t5)))),ll0) != xor(t3,xor(t2,or(b,t5)))
| and(t3,not(xor(t2,or(b,t5)))) = xor(t4,or(b,t5)) ),
inference(resolve,[$cnf( $equal(and(t3,not(xor(t2,or(b,t5)))),xor(t3,xor(t2,or(b,t5)))) )],[refute_0_21807,refute_0_21809]) ).
cnf(refute_0_21811,plain,
and(t3,not(xor(t2,or(b,t5)))) = xor(t4,or(b,t5)),
inference(resolve,[$cnf( $equal(or(and(t3,not(xor(t2,or(b,t5)))),ll0),xor(t3,xor(t2,or(b,t5)))) )],[refute_0_21804,refute_0_21810]) ).
cnf(refute_0_21812,plain,
and(t3,not(and(a,not(carry)))) = xor(t3,and(a,not(carry))),
inference(subst,[],[refute_0_1693:[bind(X_42,$fot(not(carry)))]]) ).
cnf(refute_0_21813,plain,
( and(a,not(carry)) != not(or(carry,t2))
| and(t3,not(and(a,not(carry)))) != xor(t3,and(a,not(carry)))
| and(t3,not(and(a,not(carry)))) = xor(t3,not(or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,not(and(a,not(carry)))),xor(t3,and(a,not(carry)))) ),[1,1],$fot(not(or(carry,t2)))]]) ).
cnf(refute_0_21814,plain,
( and(t3,not(and(a,not(carry)))) != xor(t3,and(a,not(carry)))
| and(t3,not(and(a,not(carry)))) = xor(t3,not(or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(a,not(carry)),not(or(carry,t2))) )],[refute_0_5011,refute_0_21813]) ).
cnf(refute_0_21815,plain,
and(t3,not(and(a,not(carry)))) = xor(t3,not(or(carry,t2))),
inference(resolve,[$cnf( $equal(and(t3,not(and(a,not(carry)))),xor(t3,and(a,not(carry)))) )],[refute_0_21812,refute_0_21814]) ).
cnf(refute_0_21816,plain,
and(t3,or(carry,not(a))) = and(t3,or(carry,not(a))),
introduced(tautology,[refl,[$fot(and(t3,or(carry,not(a))))]]) ).
cnf(refute_0_21817,plain,
( and(t3,or(carry,not(a))) != and(t3,or(carry,not(a)))
| or(carry,not(a)) != or(carry,t2)
| and(t3,or(carry,not(a))) = and(t3,or(carry,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,or(carry,not(a))),and(t3,or(carry,not(a)))) ),[1,1],$fot(or(carry,t2))]]) ).
cnf(refute_0_21818,plain,
( or(carry,not(a)) != or(carry,t2)
| and(t3,or(carry,not(a))) = and(t3,or(carry,t2)) ),
inference(resolve,[$cnf( $equal(and(t3,or(carry,not(a))),and(t3,or(carry,not(a)))) )],[refute_0_21816,refute_0_21817]) ).
cnf(refute_0_21819,plain,
and(t3,or(carry,not(a))) = and(t3,or(carry,t2)),
inference(resolve,[$cnf( $equal(or(carry,not(a)),or(carry,t2)) )],[refute_0_19906,refute_0_21818]) ).
cnf(refute_0_21820,plain,
xor(t3,and(a,not(carry))) = and(t3,or(carry,not(a))),
inference(subst,[],[refute_0_6519:[bind(X,$fot(carry))]]) ).
cnf(refute_0_21821,plain,
( and(t3,not(and(a,not(carry)))) != xor(t3,and(a,not(carry)))
| xor(t3,and(a,not(carry))) != and(t3,or(carry,not(a)))
| and(t3,not(and(a,not(carry)))) = and(t3,or(carry,not(a))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t3,not(and(a,not(carry)))))),bind(Y0,$fot(xor(t3,and(a,not(carry))))),bind(Z0,$fot(and(t3,or(carry,not(a)))))]]) ).
cnf(refute_0_21822,plain,
( xor(t3,and(a,not(carry))) != and(t3,or(carry,not(a)))
| and(t3,not(and(a,not(carry)))) = and(t3,or(carry,not(a))) ),
inference(resolve,[$cnf( $equal(and(t3,not(and(a,not(carry)))),xor(t3,and(a,not(carry)))) )],[refute_0_21812,refute_0_21821]) ).
cnf(refute_0_21823,plain,
and(t3,not(and(a,not(carry)))) = and(t3,or(carry,not(a))),
inference(resolve,[$cnf( $equal(xor(t3,and(a,not(carry))),and(t3,or(carry,not(a)))) )],[refute_0_21820,refute_0_21822]) ).
cnf(refute_0_21824,plain,
( and(t3,not(and(a,not(carry)))) != and(t3,or(carry,not(a)))
| and(t3,or(carry,not(a))) != and(t3,or(carry,t2))
| and(t3,not(and(a,not(carry)))) = and(t3,or(carry,t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t3,not(and(a,not(carry)))))),bind(Y0,$fot(and(t3,or(carry,not(a))))),bind(Z0,$fot(and(t3,or(carry,t2))))]]) ).
cnf(refute_0_21825,plain,
( and(t3,or(carry,not(a))) != and(t3,or(carry,t2))
| and(t3,not(and(a,not(carry)))) = and(t3,or(carry,t2)) ),
inference(resolve,[$cnf( $equal(and(t3,not(and(a,not(carry)))),and(t3,or(carry,not(a)))) )],[refute_0_21823,refute_0_21824]) ).
cnf(refute_0_21826,plain,
and(t3,not(and(a,not(carry)))) = and(t3,or(carry,t2)),
inference(resolve,[$cnf( $equal(and(t3,or(carry,not(a))),and(t3,or(carry,t2))) )],[refute_0_21819,refute_0_21825]) ).
cnf(refute_0_21827,plain,
( and(t3,not(and(a,not(carry)))) != and(t3,or(carry,t2))
| and(t3,not(and(a,not(carry)))) != xor(t3,not(or(carry,t2)))
| and(t3,or(carry,t2)) = xor(t3,not(or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,not(and(a,not(carry)))),xor(t3,not(or(carry,t2)))) ),[0],$fot(and(t3,or(carry,t2)))]]) ).
cnf(refute_0_21828,plain,
( and(t3,not(and(a,not(carry)))) != xor(t3,not(or(carry,t2)))
| and(t3,or(carry,t2)) = xor(t3,not(or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(t3,not(and(a,not(carry)))),and(t3,or(carry,t2))) )],[refute_0_21826,refute_0_21827]) ).
cnf(refute_0_21829,plain,
and(t3,or(carry,t2)) = xor(t3,not(or(carry,t2))),
inference(resolve,[$cnf( $equal(and(t3,not(and(a,not(carry)))),xor(t3,not(or(carry,t2)))) )],[refute_0_21815,refute_0_21828]) ).
cnf(refute_0_21830,plain,
xor(t3,not(or(carry,t2))) = not(xor(t3,or(carry,t2))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t3)),bind(X_334,$fot(or(carry,t2)))]]) ).
cnf(refute_0_21831,plain,
( and(t3,or(carry,t2)) != xor(t3,not(or(carry,t2)))
| xor(t3,not(or(carry,t2))) != not(xor(t3,or(carry,t2)))
| and(t3,or(carry,t2)) = not(xor(t3,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t3,or(carry,t2)),not(xor(t3,or(carry,t2)))) ),[0],$fot(xor(t3,not(or(carry,t2))))]]) ).
cnf(refute_0_21832,plain,
( and(t3,or(carry,t2)) != xor(t3,not(or(carry,t2)))
| and(t3,or(carry,t2)) = not(xor(t3,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(xor(t3,not(or(carry,t2))),not(xor(t3,or(carry,t2)))) )],[refute_0_21830,refute_0_21831]) ).
cnf(refute_0_21833,plain,
and(t3,or(carry,t2)) = not(xor(t3,or(carry,t2))),
inference(resolve,[$cnf( $equal(and(t3,or(carry,t2)),xor(t3,not(or(carry,t2)))) )],[refute_0_21829,refute_0_21832]) ).
cnf(refute_0_21834,plain,
and(t3,or(carry,t2)) = and(t3,or(carry,t2)),
introduced(tautology,[refl,[$fot(and(t3,or(carry,t2)))]]) ).
cnf(refute_0_21835,plain,
( and(t3,or(carry,t2)) != and(t3,or(carry,t2))
| or(carry,t2) != or(b,t6)
| and(t3,or(carry,t2)) = and(t3,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,or(carry,t2)),and(t3,or(carry,t2))) ),[1,1],$fot(or(b,t6))]]) ).
cnf(refute_0_21836,plain,
( or(carry,t2) != or(b,t6)
| and(t3,or(carry,t2)) = and(t3,or(b,t6)) ),
inference(resolve,[$cnf( $equal(and(t3,or(carry,t2)),and(t3,or(carry,t2))) )],[refute_0_21834,refute_0_21835]) ).
cnf(refute_0_21837,plain,
and(t3,or(carry,t2)) = and(t3,or(b,t6)),
inference(resolve,[$cnf( $equal(or(carry,t2),or(b,t6)) )],[refute_0_19502,refute_0_21836]) ).
cnf(refute_0_21838,plain,
( and(t3,or(carry,t2)) != and(t3,or(b,t6))
| and(t3,or(carry,t2)) != not(xor(t3,or(carry,t2)))
| and(t3,or(b,t6)) = not(xor(t3,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,or(carry,t2)),not(xor(t3,or(carry,t2)))) ),[0],$fot(and(t3,or(b,t6)))]]) ).
cnf(refute_0_21839,plain,
( and(t3,or(carry,t2)) != not(xor(t3,or(carry,t2)))
| and(t3,or(b,t6)) = not(xor(t3,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(t3,or(carry,t2)),and(t3,or(b,t6))) )],[refute_0_21837,refute_0_21838]) ).
cnf(refute_0_21840,plain,
xor(t3,or(carry,t2)) = xor(t3,or(carry,t2)),
introduced(tautology,[refl,[$fot(xor(t3,or(carry,t2)))]]) ).
cnf(refute_0_21841,plain,
( or(carry,t2) != or(b,t6)
| xor(t3,or(carry,t2)) != xor(t3,or(carry,t2))
| xor(t3,or(carry,t2)) = xor(t3,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,or(carry,t2)),xor(t3,or(carry,t2))) ),[1,1],$fot(or(b,t6))]]) ).
cnf(refute_0_21842,plain,
( or(carry,t2) != or(b,t6)
| xor(t3,or(carry,t2)) = xor(t3,or(b,t6)) ),
inference(resolve,[$cnf( $equal(xor(t3,or(carry,t2)),xor(t3,or(carry,t2))) )],[refute_0_21840,refute_0_21841]) ).
cnf(refute_0_21843,plain,
xor(t3,or(carry,t2)) = xor(t3,or(b,t6)),
inference(resolve,[$cnf( $equal(or(carry,t2),or(b,t6)) )],[refute_0_19502,refute_0_21842]) ).
cnf(refute_0_21844,plain,
not(xor(t3,or(carry,t2))) = not(xor(t3,or(carry,t2))),
introduced(tautology,[refl,[$fot(not(xor(t3,or(carry,t2))))]]) ).
cnf(refute_0_21845,plain,
( not(xor(t3,or(carry,t2))) != not(xor(t3,or(carry,t2)))
| xor(t3,or(carry,t2)) != xor(t3,or(b,t6))
| not(xor(t3,or(carry,t2))) = not(xor(t3,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t3,or(carry,t2))),not(xor(t3,or(carry,t2)))) ),[1,0],$fot(xor(t3,or(b,t6)))]]) ).
cnf(refute_0_21846,plain,
( xor(t3,or(carry,t2)) != xor(t3,or(b,t6))
| not(xor(t3,or(carry,t2))) = not(xor(t3,or(b,t6))) ),
inference(resolve,[$cnf( $equal(not(xor(t3,or(carry,t2))),not(xor(t3,or(carry,t2)))) )],[refute_0_21844,refute_0_21845]) ).
cnf(refute_0_21847,plain,
not(xor(t3,or(carry,t2))) = not(xor(t3,or(b,t6))),
inference(resolve,[$cnf( $equal(xor(t3,or(carry,t2)),xor(t3,or(b,t6))) )],[refute_0_21843,refute_0_21846]) ).
cnf(refute_0_21848,plain,
( and(t3,or(b,t6)) != not(xor(t3,or(carry,t2)))
| not(xor(t3,or(carry,t2))) != not(xor(t3,or(b,t6)))
| and(t3,or(b,t6)) = not(xor(t3,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t3,or(b,t6)),not(xor(t3,or(b,t6)))) ),[0],$fot(not(xor(t3,or(carry,t2))))]]) ).
cnf(refute_0_21849,plain,
( and(t3,or(b,t6)) != not(xor(t3,or(carry,t2)))
| and(t3,or(b,t6)) = not(xor(t3,or(b,t6))) ),
inference(resolve,[$cnf( $equal(not(xor(t3,or(carry,t2))),not(xor(t3,or(b,t6)))) )],[refute_0_21847,refute_0_21848]) ).
cnf(refute_0_21850,plain,
( and(t3,or(carry,t2)) != not(xor(t3,or(carry,t2)))
| and(t3,or(b,t6)) = not(xor(t3,or(b,t6))) ),
inference(resolve,[$cnf( $equal(and(t3,or(b,t6)),not(xor(t3,or(carry,t2)))) )],[refute_0_21839,refute_0_21849]) ).
cnf(refute_0_21851,plain,
and(t3,or(b,t6)) = not(xor(t3,or(b,t6))),
inference(resolve,[$cnf( $equal(and(t3,or(carry,t2)),not(xor(t3,or(carry,t2)))) )],[refute_0_21833,refute_0_21850]) ).
cnf(refute_0_21852,plain,
( and(t3,or(b,t6)) != not(xor(t3,or(b,t6)))
| not(xor(t3,or(b,t6))) = and(t3,or(b,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t3,or(b,t6)))),bind(Y0,$fot(not(xor(t3,or(b,t6)))))]]) ).
cnf(refute_0_21853,plain,
not(xor(t3,or(b,t6))) = and(t3,or(b,t6)),
inference(resolve,[$cnf( $equal(and(t3,or(b,t6)),not(xor(t3,or(b,t6)))) )],[refute_0_21851,refute_0_21852]) ).
cnf(refute_0_21854,plain,
xor(t3,not(or(b,t6))) = not(xor(t3,or(b,t6))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t3)),bind(X_334,$fot(or(b,t6)))]]) ).
cnf(refute_0_21855,plain,
( not(xor(t3,or(b,t6))) != and(t3,or(b,t6))
| xor(t3,not(or(b,t6))) != not(xor(t3,or(b,t6)))
| xor(t3,not(or(b,t6))) = and(t3,or(b,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t3,not(or(b,t6))))),bind(Y0,$fot(not(xor(t3,or(b,t6))))),bind(Z0,$fot(and(t3,or(b,t6))))]]) ).
cnf(refute_0_21856,plain,
( not(xor(t3,or(b,t6))) != and(t3,or(b,t6))
| xor(t3,not(or(b,t6))) = and(t3,or(b,t6)) ),
inference(resolve,[$cnf( $equal(xor(t3,not(or(b,t6))),not(xor(t3,or(b,t6)))) )],[refute_0_21854,refute_0_21855]) ).
cnf(refute_0_21857,plain,
xor(t3,not(or(b,t6))) = and(t3,or(b,t6)),
inference(resolve,[$cnf( $equal(not(xor(t3,or(b,t6))),and(t3,or(b,t6))) )],[refute_0_21853,refute_0_21856]) ).
cnf(refute_0_21858,plain,
xor(t3,and(t3,not(t6))) = xor(t3,and(t3,not(t6))),
introduced(tautology,[refl,[$fot(xor(t3,and(t3,not(t6))))]]) ).
cnf(refute_0_21859,plain,
( and(t3,not(t6)) != not(or(b,t6))
| xor(t3,and(t3,not(t6))) != xor(t3,and(t3,not(t6)))
| xor(t3,and(t3,not(t6))) = xor(t3,not(or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,and(t3,not(t6))),xor(t3,and(t3,not(t6)))) ),[1,1],$fot(not(or(b,t6)))]]) ).
cnf(refute_0_21860,plain,
( and(t3,not(t6)) != not(or(b,t6))
| xor(t3,and(t3,not(t6))) = xor(t3,not(or(b,t6))) ),
inference(resolve,[$cnf( $equal(xor(t3,and(t3,not(t6))),xor(t3,and(t3,not(t6)))) )],[refute_0_21858,refute_0_21859]) ).
cnf(refute_0_21861,plain,
xor(t3,and(t3,not(t6))) = xor(t3,not(or(b,t6))),
inference(resolve,[$cnf( $equal(and(t3,not(t6)),not(or(b,t6))) )],[refute_0_20600,refute_0_21860]) ).
cnf(refute_0_21862,plain,
( xor(t3,and(t3,not(t6))) != xor(t3,not(or(b,t6)))
| xor(t3,not(or(b,t6))) != and(t3,or(b,t6))
| xor(t3,and(t3,not(t6))) = and(t3,or(b,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t3,and(t3,not(t6))))),bind(Y0,$fot(xor(t3,not(or(b,t6))))),bind(Z0,$fot(and(t3,or(b,t6))))]]) ).
cnf(refute_0_21863,plain,
( xor(t3,not(or(b,t6))) != and(t3,or(b,t6))
| xor(t3,and(t3,not(t6))) = and(t3,or(b,t6)) ),
inference(resolve,[$cnf( $equal(xor(t3,and(t3,not(t6))),xor(t3,not(or(b,t6)))) )],[refute_0_21861,refute_0_21862]) ).
cnf(refute_0_21864,plain,
xor(t3,and(t3,not(t6))) = and(t3,or(b,t6)),
inference(resolve,[$cnf( $equal(xor(t3,not(or(b,t6))),and(t3,or(b,t6))) )],[refute_0_21857,refute_0_21863]) ).
cnf(refute_0_21865,plain,
( and(t3,t6) != xor(t3,and(t3,not(t6)))
| xor(t3,and(t3,not(t6))) != and(t3,or(b,t6))
| and(t3,t6) = and(t3,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t3,t6),and(t3,or(b,t6))) ),[0],$fot(xor(t3,and(t3,not(t6))))]]) ).
cnf(refute_0_21866,plain,
( and(t3,t6) != xor(t3,and(t3,not(t6)))
| and(t3,t6) = and(t3,or(b,t6)) ),
inference(resolve,[$cnf( $equal(xor(t3,and(t3,not(t6))),and(t3,or(b,t6))) )],[refute_0_21864,refute_0_21865]) ).
cnf(refute_0_21867,plain,
and(t3,t6) = and(t3,or(b,t6)),
inference(resolve,[$cnf( $equal(and(t3,t6),xor(t3,and(t3,not(t6)))) )],[refute_0_20454,refute_0_21866]) ).
cnf(refute_0_21868,plain,
( and(t3,t6) != and(t3,or(b,t6))
| and(t3,or(b,t6)) = and(t3,t6) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t3,t6))),bind(Y0,$fot(and(t3,or(b,t6))))]]) ).
cnf(refute_0_21869,plain,
and(t3,or(b,t6)) = and(t3,t6),
inference(resolve,[$cnf( $equal(and(t3,t6),and(t3,or(b,t6))) )],[refute_0_21867,refute_0_21868]) ).
cnf(refute_0_21870,plain,
or(and(t3,not(xor(t4,or(t6,not(t3))))),and(not(t3),xor(t4,or(t6,not(t3))))) = xor(t3,xor(t4,or(t6,not(t3)))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t3)),bind(Y,$fot(xor(t4,or(t6,not(t3)))))]]) ).
cnf(refute_0_21871,plain,
and(not(t3),xor(t3,and(X_163,a))) = ll0,
inference(subst,[],[refute_0_6861:[bind(X_162,$fot(X_163))]]) ).
cnf(refute_0_21872,plain,
and(a,X_163) = and(X_163,a),
inference(subst,[],[and_commutative:[bind(X,$fot(a)),bind(Y,$fot(X_163))]]) ).
cnf(refute_0_21873,plain,
( and(a,X_163) != and(X_163,a)
| and(X_163,a) = and(a,X_163) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(a,X_163))),bind(Y0,$fot(and(X_163,a)))]]) ).
cnf(refute_0_21874,plain,
and(X_163,a) = and(a,X_163),
inference(resolve,[$cnf( $equal(and(a,X_163),and(X_163,a)) )],[refute_0_21872,refute_0_21873]) ).
cnf(refute_0_21875,plain,
( and(X_163,a) != and(a,X_163)
| and(not(t3),xor(t3,and(X_163,a))) != ll0
| and(not(t3),xor(t3,and(a,X_163))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t3),xor(t3,and(X_163,a))),ll0) ),[0,1,1],$fot(and(a,X_163))]]) ).
cnf(refute_0_21876,plain,
( and(not(t3),xor(t3,and(X_163,a))) != ll0
| and(not(t3),xor(t3,and(a,X_163))) = ll0 ),
inference(resolve,[$cnf( $equal(and(X_163,a),and(a,X_163)) )],[refute_0_21874,refute_0_21875]) ).
cnf(refute_0_21877,plain,
and(not(t3),xor(t3,and(a,X_163))) = ll0,
inference(resolve,[$cnf( $equal(and(not(t3),xor(t3,and(X_163,a))),ll0) )],[refute_0_21871,refute_0_21876]) ).
cnf(refute_0_21878,plain,
and(not(t3),xor(t3,and(a,xor(t2,or(t6,not(t3)))))) = ll0,
inference(subst,[],[refute_0_21877:[bind(X_163,$fot(xor(t2,or(t6,not(t3)))))]]) ).
cnf(refute_0_21879,plain,
( and(a,xor(t2,or(t6,not(t3)))) != xor(t2,or(t6,not(t3)))
| and(not(t3),xor(t3,and(a,xor(t2,or(t6,not(t3)))))) != ll0
| and(not(t3),xor(t3,xor(t2,or(t6,not(t3))))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t3),xor(t3,and(a,xor(t2,or(t6,not(t3)))))),ll0) ),[0,1,1],$fot(xor(t2,or(t6,not(t3))))]]) ).
cnf(refute_0_21880,plain,
( and(not(t3),xor(t3,and(a,xor(t2,or(t6,not(t3)))))) != ll0
| and(not(t3),xor(t3,xor(t2,or(t6,not(t3))))) = ll0 ),
inference(resolve,[$cnf( $equal(and(a,xor(t2,or(t6,not(t3)))),xor(t2,or(t6,not(t3)))) )],[refute_0_20261,refute_0_21879]) ).
cnf(refute_0_21881,plain,
and(not(t3),xor(t3,xor(t2,or(t6,not(t3))))) = ll0,
inference(resolve,[$cnf( $equal(and(not(t3),xor(t3,and(a,xor(t2,or(t6,not(t3)))))),ll0) )],[refute_0_21878,refute_0_21880]) ).
cnf(refute_0_21882,plain,
and(not(t3),xor(t3,xor(t2,or(t6,not(t3))))) = and(not(t3),xor(t3,xor(t2,or(t6,not(t3))))),
introduced(tautology,[refl,[$fot(and(not(t3),xor(t3,xor(t2,or(t6,not(t3))))))]]) ).
cnf(refute_0_21883,plain,
( and(not(t3),xor(t3,xor(t2,or(t6,not(t3))))) != and(not(t3),xor(t3,xor(t2,or(t6,not(t3)))))
| xor(t3,xor(t2,or(t6,not(t3)))) != xor(t4,or(t6,not(t3)))
| and(not(t3),xor(t3,xor(t2,or(t6,not(t3))))) = and(not(t3),xor(t4,or(t6,not(t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t3),xor(t3,xor(t2,or(t6,not(t3))))),and(not(t3),xor(t3,xor(t2,or(t6,not(t3)))))) ),[1,1],$fot(xor(t4,or(t6,not(t3))))]]) ).
cnf(refute_0_21884,plain,
( xor(t3,xor(t2,or(t6,not(t3)))) != xor(t4,or(t6,not(t3)))
| and(not(t3),xor(t3,xor(t2,or(t6,not(t3))))) = and(not(t3),xor(t4,or(t6,not(t3)))) ),
inference(resolve,[$cnf( $equal(and(not(t3),xor(t3,xor(t2,or(t6,not(t3))))),and(not(t3),xor(t3,xor(t2,or(t6,not(t3)))))) )],[refute_0_21882,refute_0_21883]) ).
cnf(refute_0_21885,plain,
and(not(t3),xor(t3,xor(t2,or(t6,not(t3))))) = and(not(t3),xor(t4,or(t6,not(t3)))),
inference(resolve,[$cnf( $equal(xor(t3,xor(t2,or(t6,not(t3)))),xor(t4,or(t6,not(t3)))) )],[refute_0_20320,refute_0_21884]) ).
cnf(refute_0_21886,plain,
( and(not(t3),xor(t3,xor(t2,or(t6,not(t3))))) != and(not(t3),xor(t4,or(t6,not(t3))))
| and(not(t3),xor(t3,xor(t2,or(t6,not(t3))))) != ll0
| and(not(t3),xor(t4,or(t6,not(t3)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t3),xor(t3,xor(t2,or(t6,not(t3))))),ll0) ),[0],$fot(and(not(t3),xor(t4,or(t6,not(t3)))))]]) ).
cnf(refute_0_21887,plain,
( and(not(t3),xor(t3,xor(t2,or(t6,not(t3))))) != ll0
| and(not(t3),xor(t4,or(t6,not(t3)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(not(t3),xor(t3,xor(t2,or(t6,not(t3))))),and(not(t3),xor(t4,or(t6,not(t3))))) )],[refute_0_21885,refute_0_21886]) ).
cnf(refute_0_21888,plain,
and(not(t3),xor(t4,or(t6,not(t3)))) = ll0,
inference(resolve,[$cnf( $equal(and(not(t3),xor(t3,xor(t2,or(t6,not(t3))))),ll0) )],[refute_0_21881,refute_0_21887]) ).
cnf(refute_0_21889,plain,
( and(not(t3),xor(t4,or(t6,not(t3)))) != ll0
| or(and(t3,not(xor(t4,or(t6,not(t3))))),and(not(t3),xor(t4,or(t6,not(t3))))) != xor(t3,xor(t4,or(t6,not(t3))))
| or(and(t3,not(xor(t4,or(t6,not(t3))))),ll0) = xor(t3,xor(t4,or(t6,not(t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t3,not(xor(t4,or(t6,not(t3))))),and(not(t3),xor(t4,or(t6,not(t3))))),xor(t3,xor(t4,or(t6,not(t3))))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_21890,plain,
( or(and(t3,not(xor(t4,or(t6,not(t3))))),and(not(t3),xor(t4,or(t6,not(t3))))) != xor(t3,xor(t4,or(t6,not(t3))))
| or(and(t3,not(xor(t4,or(t6,not(t3))))),ll0) = xor(t3,xor(t4,or(t6,not(t3)))) ),
inference(resolve,[$cnf( $equal(and(not(t3),xor(t4,or(t6,not(t3)))),ll0) )],[refute_0_21888,refute_0_21889]) ).
cnf(refute_0_21891,plain,
or(and(t3,not(xor(t4,or(t6,not(t3))))),ll0) = xor(t3,xor(t4,or(t6,not(t3)))),
inference(resolve,[$cnf( $equal(or(and(t3,not(xor(t4,or(t6,not(t3))))),and(not(t3),xor(t4,or(t6,not(t3))))),xor(t3,xor(t4,or(t6,not(t3))))) )],[refute_0_21870,refute_0_21890]) ).
cnf(refute_0_21892,plain,
and(t3,not(xor(t4,or(t6,not(t3))))) = and(t3,not(xor(t4,or(t6,not(t3))))),
introduced(tautology,[refl,[$fot(and(t3,not(xor(t4,or(t6,not(t3))))))]]) ).
cnf(refute_0_21893,plain,
( and(t3,not(xor(t4,or(t6,not(t3))))) != and(t3,not(xor(t4,or(t6,not(t3)))))
| not(xor(t4,or(t6,not(t3)))) != xor(t4,and(t3,not(t6)))
| and(t3,not(xor(t4,or(t6,not(t3))))) = and(t3,xor(t4,and(t3,not(t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,not(xor(t4,or(t6,not(t3))))),and(t3,not(xor(t4,or(t6,not(t3)))))) ),[1,1],$fot(xor(t4,and(t3,not(t6))))]]) ).
cnf(refute_0_21894,plain,
( not(xor(t4,or(t6,not(t3)))) != xor(t4,and(t3,not(t6)))
| and(t3,not(xor(t4,or(t6,not(t3))))) = and(t3,xor(t4,and(t3,not(t6)))) ),
inference(resolve,[$cnf( $equal(and(t3,not(xor(t4,or(t6,not(t3))))),and(t3,not(xor(t4,or(t6,not(t3)))))) )],[refute_0_21892,refute_0_21893]) ).
cnf(refute_0_21895,plain,
and(t3,not(xor(t4,or(t6,not(t3))))) = and(t3,xor(t4,and(t3,not(t6)))),
inference(resolve,[$cnf( $equal(not(xor(t4,or(t6,not(t3)))),xor(t4,and(t3,not(t6)))) )],[refute_0_20315,refute_0_21894]) ).
cnf(refute_0_21896,plain,
or(and(t3,not(xor(t4,or(t6,not(t3))))),ll0) = and(t3,not(xor(t4,or(t6,not(t3))))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t3,not(xor(t4,or(t6,not(t3)))))))]]) ).
cnf(refute_0_21897,plain,
( and(t3,not(xor(t4,or(t6,not(t3))))) != and(t3,xor(t4,and(t3,not(t6))))
| or(and(t3,not(xor(t4,or(t6,not(t3))))),ll0) != and(t3,not(xor(t4,or(t6,not(t3)))))
| or(and(t3,not(xor(t4,or(t6,not(t3))))),ll0) = and(t3,xor(t4,and(t3,not(t6)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(t3,not(xor(t4,or(t6,not(t3))))),ll0))),bind(Y0,$fot(and(t3,not(xor(t4,or(t6,not(t3))))))),bind(Z0,$fot(and(t3,xor(t4,and(t3,not(t6))))))]]) ).
cnf(refute_0_21898,plain,
( and(t3,not(xor(t4,or(t6,not(t3))))) != and(t3,xor(t4,and(t3,not(t6))))
| or(and(t3,not(xor(t4,or(t6,not(t3))))),ll0) = and(t3,xor(t4,and(t3,not(t6)))) ),
inference(resolve,[$cnf( $equal(or(and(t3,not(xor(t4,or(t6,not(t3))))),ll0),and(t3,not(xor(t4,or(t6,not(t3)))))) )],[refute_0_21896,refute_0_21897]) ).
cnf(refute_0_21899,plain,
or(and(t3,not(xor(t4,or(t6,not(t3))))),ll0) = and(t3,xor(t4,and(t3,not(t6)))),
inference(resolve,[$cnf( $equal(and(t3,not(xor(t4,or(t6,not(t3))))),and(t3,xor(t4,and(t3,not(t6))))) )],[refute_0_21895,refute_0_21898]) ).
cnf(refute_0_21900,plain,
( or(and(t3,not(xor(t4,or(t6,not(t3))))),ll0) != and(t3,xor(t4,and(t3,not(t6))))
| or(and(t3,not(xor(t4,or(t6,not(t3))))),ll0) != xor(t3,xor(t4,or(t6,not(t3))))
| and(t3,xor(t4,and(t3,not(t6)))) = xor(t3,xor(t4,or(t6,not(t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t3,not(xor(t4,or(t6,not(t3))))),ll0),xor(t3,xor(t4,or(t6,not(t3))))) ),[0],$fot(and(t3,xor(t4,and(t3,not(t6)))))]]) ).
cnf(refute_0_21901,plain,
( or(and(t3,not(xor(t4,or(t6,not(t3))))),ll0) != xor(t3,xor(t4,or(t6,not(t3))))
| and(t3,xor(t4,and(t3,not(t6)))) = xor(t3,xor(t4,or(t6,not(t3)))) ),
inference(resolve,[$cnf( $equal(or(and(t3,not(xor(t4,or(t6,not(t3))))),ll0),and(t3,xor(t4,and(t3,not(t6))))) )],[refute_0_21899,refute_0_21900]) ).
cnf(refute_0_21902,plain,
xor(t3,xor(t4,or(t6,not(t3)))) = xor(t2,or(t6,not(t3))),
inference(subst,[],[refute_0_2264:[bind(Z,$fot(or(t6,not(t3))))]]) ).
cnf(refute_0_21903,plain,
( and(t3,xor(t4,and(t3,not(t6)))) != xor(t3,xor(t4,or(t6,not(t3))))
| xor(t3,xor(t4,or(t6,not(t3)))) != xor(t2,or(t6,not(t3)))
| and(t3,xor(t4,and(t3,not(t6)))) = xor(t2,or(t6,not(t3))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t3,xor(t4,and(t3,not(t6)))),xor(t2,or(t6,not(t3)))) ),[0],$fot(xor(t3,xor(t4,or(t6,not(t3)))))]]) ).
cnf(refute_0_21904,plain,
( and(t3,xor(t4,and(t3,not(t6)))) != xor(t3,xor(t4,or(t6,not(t3))))
| and(t3,xor(t4,and(t3,not(t6)))) = xor(t2,or(t6,not(t3))) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(t4,or(t6,not(t3)))),xor(t2,or(t6,not(t3)))) )],[refute_0_21902,refute_0_21903]) ).
cnf(refute_0_21905,plain,
( or(and(t3,not(xor(t4,or(t6,not(t3))))),ll0) != xor(t3,xor(t4,or(t6,not(t3))))
| and(t3,xor(t4,and(t3,not(t6)))) = xor(t2,or(t6,not(t3))) ),
inference(resolve,[$cnf( $equal(and(t3,xor(t4,and(t3,not(t6)))),xor(t3,xor(t4,or(t6,not(t3))))) )],[refute_0_21901,refute_0_21904]) ).
cnf(refute_0_21906,plain,
and(t3,xor(t4,and(t3,not(t6)))) = xor(t2,or(t6,not(t3))),
inference(resolve,[$cnf( $equal(or(and(t3,not(xor(t4,or(t6,not(t3))))),ll0),xor(t3,xor(t4,or(t6,not(t3))))) )],[refute_0_21891,refute_0_21905]) ).
cnf(refute_0_21907,plain,
and(t3,xor(t4,and(t3,not(t6)))) = and(t3,xor(t4,and(t3,not(t6)))),
introduced(tautology,[refl,[$fot(and(t3,xor(t4,and(t3,not(t6)))))]]) ).
cnf(refute_0_21908,plain,
( and(t3,xor(t4,and(t3,not(t6)))) != and(t3,xor(t4,and(t3,not(t6))))
| xor(t4,and(t3,not(t6))) != xor(t2,and(t3,t6))
| and(t3,xor(t4,and(t3,not(t6)))) = and(t3,xor(t2,and(t3,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,xor(t4,and(t3,not(t6)))),and(t3,xor(t4,and(t3,not(t6))))) ),[1,1],$fot(xor(t2,and(t3,t6)))]]) ).
cnf(refute_0_21909,plain,
( xor(t4,and(t3,not(t6))) != xor(t2,and(t3,t6))
| and(t3,xor(t4,and(t3,not(t6)))) = and(t3,xor(t2,and(t3,t6))) ),
inference(resolve,[$cnf( $equal(and(t3,xor(t4,and(t3,not(t6)))),and(t3,xor(t4,and(t3,not(t6))))) )],[refute_0_21907,refute_0_21908]) ).
cnf(refute_0_21910,plain,
and(t3,xor(t4,and(t3,not(t6)))) = and(t3,xor(t2,and(t3,t6))),
inference(resolve,[$cnf( $equal(xor(t4,and(t3,not(t6))),xor(t2,and(t3,t6))) )],[refute_0_21474,refute_0_21909]) ).
cnf(refute_0_21911,plain,
( and(t3,xor(t4,and(t3,not(t6)))) != and(t3,xor(t2,and(t3,t6)))
| and(t3,xor(t4,and(t3,not(t6)))) != xor(t2,or(t6,not(t3)))
| and(t3,xor(t2,and(t3,t6))) = xor(t2,or(t6,not(t3))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,xor(t4,and(t3,not(t6)))),xor(t2,or(t6,not(t3)))) ),[0],$fot(and(t3,xor(t2,and(t3,t6))))]]) ).
cnf(refute_0_21912,plain,
( and(t3,xor(t4,and(t3,not(t6)))) != xor(t2,or(t6,not(t3)))
| and(t3,xor(t2,and(t3,t6))) = xor(t2,or(t6,not(t3))) ),
inference(resolve,[$cnf( $equal(and(t3,xor(t4,and(t3,not(t6)))),and(t3,xor(t2,and(t3,t6)))) )],[refute_0_21910,refute_0_21911]) ).
cnf(refute_0_21913,plain,
( and(t3,xor(t2,and(t3,t6))) != xor(t2,or(t6,not(t3)))
| xor(t2,or(t6,not(t3))) != not(xor(t4,and(t3,t6)))
| and(t3,xor(t2,and(t3,t6))) = not(xor(t4,and(t3,t6))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t3,xor(t2,and(t3,t6))),not(xor(t4,and(t3,t6)))) ),[0],$fot(xor(t2,or(t6,not(t3))))]]) ).
cnf(refute_0_21914,plain,
( and(t3,xor(t2,and(t3,t6))) != xor(t2,or(t6,not(t3)))
| and(t3,xor(t2,and(t3,t6))) = not(xor(t4,and(t3,t6))) ),
inference(resolve,[$cnf( $equal(xor(t2,or(t6,not(t3))),not(xor(t4,and(t3,t6)))) )],[refute_0_20496,refute_0_21913]) ).
cnf(refute_0_21915,plain,
( and(t3,xor(t4,and(t3,not(t6)))) != xor(t2,or(t6,not(t3)))
| and(t3,xor(t2,and(t3,t6))) = not(xor(t4,and(t3,t6))) ),
inference(resolve,[$cnf( $equal(and(t3,xor(t2,and(t3,t6))),xor(t2,or(t6,not(t3)))) )],[refute_0_21912,refute_0_21914]) ).
cnf(refute_0_21916,plain,
and(t3,xor(t2,and(t3,t6))) = not(xor(t4,and(t3,t6))),
inference(resolve,[$cnf( $equal(and(t3,xor(t4,and(t3,not(t6)))),xor(t2,or(t6,not(t3)))) )],[refute_0_21906,refute_0_21915]) ).
cnf(refute_0_21917,plain,
and(and(t3,t4),Z) = and(t3,and(t4,Z)),
inference(subst,[],[and_associative:[bind(X,$fot(t3)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_21918,plain,
( and(and(t3,t4),Z) != and(t3,and(t4,Z))
| and(t3,t4) != not(t2)
| and(not(t2),Z) = and(t3,and(t4,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t3,t4),Z),and(t3,and(t4,Z))) ),[0,0],$fot(not(t2))]]) ).
cnf(refute_0_21919,plain,
( and(and(t3,t4),Z) != and(t3,and(t4,Z))
| and(not(t2),Z) = and(t3,and(t4,Z)) ),
inference(resolve,[$cnf( $equal(and(t3,t4),not(t2)) )],[refute_0_14224,refute_0_21918]) ).
cnf(refute_0_21920,plain,
and(not(t2),Z) = and(t3,and(t4,Z)),
inference(resolve,[$cnf( $equal(and(and(t3,t4),Z),and(t3,and(t4,Z))) )],[refute_0_21917,refute_0_21919]) ).
cnf(refute_0_21921,plain,
( and(not(t2),Z) != and(t3,and(t4,Z))
| and(t3,and(t4,Z)) = and(not(t2),Z) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t2),Z))),bind(Y0,$fot(and(t3,and(t4,Z))))]]) ).
cnf(refute_0_21922,plain,
and(t3,and(t4,Z)) = and(not(t2),Z),
inference(resolve,[$cnf( $equal(and(not(t2),Z),and(t3,and(t4,Z))) )],[refute_0_21920,refute_0_21921]) ).
cnf(refute_0_21923,plain,
and(t3,and(t4,or(b,t6))) = and(not(t2),or(b,t6)),
inference(subst,[],[refute_0_21922:[bind(Z,$fot(or(b,t6)))]]) ).
cnf(refute_0_21924,plain,
( and(not(t2),or(b,t6)) != xor(t2,or(b,t6))
| and(t3,and(t4,or(b,t6))) != and(not(t2),or(b,t6))
| and(t3,and(t4,or(b,t6))) = xor(t2,or(b,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t3,and(t4,or(b,t6))))),bind(Y0,$fot(and(not(t2),or(b,t6)))),bind(Z0,$fot(xor(t2,or(b,t6))))]]) ).
cnf(refute_0_21925,plain,
( and(not(t2),or(b,t6)) != xor(t2,or(b,t6))
| and(t3,and(t4,or(b,t6))) = xor(t2,or(b,t6)) ),
inference(resolve,[$cnf( $equal(and(t3,and(t4,or(b,t6))),and(not(t2),or(b,t6))) )],[refute_0_21923,refute_0_21924]) ).
cnf(refute_0_21926,plain,
and(t3,and(t4,or(b,t6))) = xor(t2,or(b,t6)),
inference(resolve,[$cnf( $equal(and(not(t2),or(b,t6)),xor(t2,or(b,t6))) )],[refute_0_19367,refute_0_21925]) ).
cnf(refute_0_21927,plain,
and(t3,xor(t2,and(t3,t6))) = and(t3,xor(t2,and(t3,t6))),
introduced(tautology,[refl,[$fot(and(t3,xor(t2,and(t3,t6))))]]) ).
cnf(refute_0_21928,plain,
( and(t3,xor(t2,and(t3,t6))) != and(t3,xor(t2,and(t3,t6)))
| xor(t2,and(t3,t6)) != and(t4,or(b,t6))
| and(t3,xor(t2,and(t3,t6))) = and(t3,and(t4,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,xor(t2,and(t3,t6))),and(t3,xor(t2,and(t3,t6)))) ),[1,1],$fot(and(t4,or(b,t6)))]]) ).
cnf(refute_0_21929,plain,
( xor(t2,and(t3,t6)) != and(t4,or(b,t6))
| and(t3,xor(t2,and(t3,t6))) = and(t3,and(t4,or(b,t6))) ),
inference(resolve,[$cnf( $equal(and(t3,xor(t2,and(t3,t6))),and(t3,xor(t2,and(t3,t6)))) )],[refute_0_21927,refute_0_21928]) ).
cnf(refute_0_21930,plain,
and(t3,xor(t2,and(t3,t6))) = and(t3,and(t4,or(b,t6))),
inference(resolve,[$cnf( $equal(xor(t2,and(t3,t6)),and(t4,or(b,t6))) )],[refute_0_21504,refute_0_21929]) ).
cnf(refute_0_21931,plain,
( and(t3,and(t4,or(b,t6))) != xor(t2,or(b,t6))
| and(t3,xor(t2,and(t3,t6))) != and(t3,and(t4,or(b,t6)))
| and(t3,xor(t2,and(t3,t6))) = xor(t2,or(b,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t3,xor(t2,and(t3,t6))))),bind(Y0,$fot(and(t3,and(t4,or(b,t6))))),bind(Z0,$fot(xor(t2,or(b,t6))))]]) ).
cnf(refute_0_21932,plain,
( and(t3,and(t4,or(b,t6))) != xor(t2,or(b,t6))
| and(t3,xor(t2,and(t3,t6))) = xor(t2,or(b,t6)) ),
inference(resolve,[$cnf( $equal(and(t3,xor(t2,and(t3,t6))),and(t3,and(t4,or(b,t6)))) )],[refute_0_21930,refute_0_21931]) ).
cnf(refute_0_21933,plain,
and(t3,xor(t2,and(t3,t6))) = xor(t2,or(b,t6)),
inference(resolve,[$cnf( $equal(and(t3,and(t4,or(b,t6))),xor(t2,or(b,t6))) )],[refute_0_21926,refute_0_21932]) ).
cnf(refute_0_21934,plain,
( and(t3,xor(t2,and(t3,t6))) != not(xor(t4,and(t3,t6)))
| and(t3,xor(t2,and(t3,t6))) != xor(t2,or(b,t6))
| xor(t2,or(b,t6)) = not(xor(t4,and(t3,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,xor(t2,and(t3,t6))),not(xor(t4,and(t3,t6)))) ),[0],$fot(xor(t2,or(b,t6)))]]) ).
cnf(refute_0_21935,plain,
( and(t3,xor(t2,and(t3,t6))) != not(xor(t4,and(t3,t6)))
| xor(t2,or(b,t6)) = not(xor(t4,and(t3,t6))) ),
inference(resolve,[$cnf( $equal(and(t3,xor(t2,and(t3,t6))),xor(t2,or(b,t6))) )],[refute_0_21933,refute_0_21934]) ).
cnf(refute_0_21936,plain,
xor(t2,or(b,t6)) = not(xor(t4,and(t3,t6))),
inference(resolve,[$cnf( $equal(and(t3,xor(t2,and(t3,t6))),not(xor(t4,and(t3,t6)))) )],[refute_0_21916,refute_0_21935]) ).
cnf(refute_0_21937,plain,
and(not(t2),t6) = and(t6,not(t2)),
inference(subst,[],[refute_0_4252:[bind(X_14,$fot(t6)),bind(X_669,$fot(not(t2)))]]) ).
cnf(refute_0_21938,plain,
not(or(t2,not(t6))) = and(not(t2),t6),
inference(subst,[],[refute_0_801:[bind(X,$fot(t6)),bind(X_25,$fot(t2))]]) ).
cnf(refute_0_21939,plain,
( and(not(t2),t6) != and(t6,not(t2))
| not(or(t2,not(t6))) != and(not(t2),t6)
| not(or(t2,not(t6))) = and(t6,not(t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(t2,not(t6))))),bind(Y0,$fot(and(not(t2),t6))),bind(Z0,$fot(and(t6,not(t2))))]]) ).
cnf(refute_0_21940,plain,
( and(not(t2),t6) != and(t6,not(t2))
| not(or(t2,not(t6))) = and(t6,not(t2)) ),
inference(resolve,[$cnf( $equal(not(or(t2,not(t6))),and(not(t2),t6)) )],[refute_0_21938,refute_0_21939]) ).
cnf(refute_0_21941,plain,
not(or(t2,not(t6))) = and(t6,not(t2)),
inference(resolve,[$cnf( $equal(and(not(t2),t6),and(t6,not(t2))) )],[refute_0_21937,refute_0_21940]) ).
cnf(refute_0_21942,plain,
not(xor(t4,and(t3,t6))) = not(xor(t4,and(t3,t6))),
introduced(tautology,[refl,[$fot(not(xor(t4,and(t3,t6))))]]) ).
cnf(refute_0_21943,plain,
( not(xor(t4,and(t3,t6))) != not(xor(t4,and(t3,t6)))
| xor(t4,and(t3,t6)) != or(t2,not(t6))
| not(xor(t4,and(t3,t6))) = not(or(t2,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t4,and(t3,t6))),not(xor(t4,and(t3,t6)))) ),[1,0],$fot(or(t2,not(t6)))]]) ).
cnf(refute_0_21944,plain,
( xor(t4,and(t3,t6)) != or(t2,not(t6))
| not(xor(t4,and(t3,t6))) = not(or(t2,not(t6))) ),
inference(resolve,[$cnf( $equal(not(xor(t4,and(t3,t6))),not(xor(t4,and(t3,t6)))) )],[refute_0_21942,refute_0_21943]) ).
cnf(refute_0_21945,plain,
not(xor(t4,and(t3,t6))) = not(or(t2,not(t6))),
inference(resolve,[$cnf( $equal(xor(t4,and(t3,t6)),or(t2,not(t6))) )],[refute_0_21014,refute_0_21944]) ).
cnf(refute_0_21946,plain,
( not(or(t2,not(t6))) != and(t6,not(t2))
| not(xor(t4,and(t3,t6))) != not(or(t2,not(t6)))
| not(xor(t4,and(t3,t6))) = and(t6,not(t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t4,and(t3,t6))))),bind(Y0,$fot(not(or(t2,not(t6))))),bind(Z0,$fot(and(t6,not(t2))))]]) ).
cnf(refute_0_21947,plain,
( not(or(t2,not(t6))) != and(t6,not(t2))
| not(xor(t4,and(t3,t6))) = and(t6,not(t2)) ),
inference(resolve,[$cnf( $equal(not(xor(t4,and(t3,t6))),not(or(t2,not(t6)))) )],[refute_0_21945,refute_0_21946]) ).
cnf(refute_0_21948,plain,
not(xor(t4,and(t3,t6))) = and(t6,not(t2)),
inference(resolve,[$cnf( $equal(not(or(t2,not(t6))),and(t6,not(t2))) )],[refute_0_21941,refute_0_21947]) ).
cnf(refute_0_21949,plain,
( not(xor(t4,and(t3,t6))) != and(t6,not(t2))
| xor(t2,or(b,t6)) != not(xor(t4,and(t3,t6)))
| xor(t2,or(b,t6)) = and(t6,not(t2)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,or(b,t6)),not(xor(t4,and(t3,t6)))) ),[1],$fot(and(t6,not(t2)))]]) ).
cnf(refute_0_21950,plain,
( xor(t2,or(b,t6)) != not(xor(t4,and(t3,t6)))
| xor(t2,or(b,t6)) = and(t6,not(t2)) ),
inference(resolve,[$cnf( $equal(not(xor(t4,and(t3,t6))),and(t6,not(t2))) )],[refute_0_21948,refute_0_21949]) ).
cnf(refute_0_21951,plain,
xor(t2,or(b,t6)) = and(t6,not(t2)),
inference(resolve,[$cnf( $equal(xor(t2,or(b,t6)),not(xor(t4,and(t3,t6)))) )],[refute_0_21936,refute_0_21950]) ).
cnf(refute_0_21952,plain,
and(and(t4,not(t2)),X_222) = and(t4,and(not(t2),X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(t4)),bind(Y,$fot(not(t2))),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_21953,plain,
( and(and(t4,not(t2)),X_222) != and(t4,and(not(t2),X_222))
| and(t4,not(t2)) != not(t2)
| and(not(t2),X_222) = and(t4,and(not(t2),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t4,not(t2)),X_222),and(t4,and(not(t2),X_222))) ),[0,0],$fot(not(t2))]]) ).
cnf(refute_0_21954,plain,
( and(and(t4,not(t2)),X_222) != and(t4,and(not(t2),X_222))
| and(not(t2),X_222) = and(t4,and(not(t2),X_222)) ),
inference(resolve,[$cnf( $equal(and(t4,not(t2)),not(t2)) )],[refute_0_9017,refute_0_21953]) ).
cnf(refute_0_21955,plain,
and(not(t2),X_222) = and(t4,and(not(t2),X_222)),
inference(resolve,[$cnf( $equal(and(and(t4,not(t2)),X_222),and(t4,and(not(t2),X_222))) )],[refute_0_21952,refute_0_21954]) ).
cnf(refute_0_21956,plain,
and(not(t2),or(b,t6)) = and(t4,and(not(t2),or(b,t6))),
inference(subst,[],[refute_0_21955:[bind(X_222,$fot(or(b,t6)))]]) ).
cnf(refute_0_21957,plain,
( and(not(t2),or(b,t6)) != and(t4,and(not(t2),or(b,t6)))
| and(not(t2),or(b,t6)) != xor(t2,or(b,t6))
| and(not(t2),or(b,t6)) = and(t4,xor(t2,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),or(b,t6)),and(t4,and(not(t2),or(b,t6)))) ),[1,1],$fot(xor(t2,or(b,t6)))]]) ).
cnf(refute_0_21958,plain,
( and(not(t2),or(b,t6)) != and(t4,and(not(t2),or(b,t6)))
| and(not(t2),or(b,t6)) = and(t4,xor(t2,or(b,t6))) ),
inference(resolve,[$cnf( $equal(and(not(t2),or(b,t6)),xor(t2,or(b,t6))) )],[refute_0_19367,refute_0_21957]) ).
cnf(refute_0_21959,plain,
and(not(t2),or(b,t6)) = and(t4,xor(t2,or(b,t6))),
inference(resolve,[$cnf( $equal(and(not(t2),or(b,t6)),and(t4,and(not(t2),or(b,t6)))) )],[refute_0_21956,refute_0_21958]) ).
cnf(refute_0_21960,plain,
( and(not(t2),or(b,t6)) != and(t4,xor(t2,or(b,t6)))
| and(not(t2),or(b,t6)) != xor(t2,or(b,t6))
| xor(t2,or(b,t6)) = and(t4,xor(t2,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t2),or(b,t6)),and(t4,xor(t2,or(b,t6)))) ),[0],$fot(xor(t2,or(b,t6)))]]) ).
cnf(refute_0_21961,plain,
( and(not(t2),or(b,t6)) != and(t4,xor(t2,or(b,t6)))
| xor(t2,or(b,t6)) = and(t4,xor(t2,or(b,t6))) ),
inference(resolve,[$cnf( $equal(and(not(t2),or(b,t6)),xor(t2,or(b,t6))) )],[refute_0_19367,refute_0_21960]) ).
cnf(refute_0_21962,plain,
xor(t2,or(b,t6)) = and(t4,xor(t2,or(b,t6))),
inference(resolve,[$cnf( $equal(and(not(t2),or(b,t6)),and(t4,xor(t2,or(b,t6)))) )],[refute_0_21959,refute_0_21961]) ).
cnf(refute_0_21963,plain,
( xor(t2,or(b,t6)) != and(t4,xor(t2,or(b,t6)))
| xor(t2,or(b,t6)) != and(t6,not(t2))
| and(t6,not(t2)) = and(t4,xor(t2,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,or(b,t6)),and(t4,xor(t2,or(b,t6)))) ),[0],$fot(and(t6,not(t2)))]]) ).
cnf(refute_0_21964,plain,
( xor(t2,or(b,t6)) != and(t4,xor(t2,or(b,t6)))
| and(t6,not(t2)) = and(t4,xor(t2,or(b,t6))) ),
inference(resolve,[$cnf( $equal(xor(t2,or(b,t6)),and(t6,not(t2))) )],[refute_0_21951,refute_0_21963]) ).
cnf(refute_0_21965,plain,
( and(not(t5),not(t2)) != not(or(t2,t5))
| not(or(t2,t5)) != not(or(b,t5))
| and(not(t5),not(t2)) = not(or(b,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t5),not(t2)))),bind(Y0,$fot(not(or(t2,t5)))),bind(Z0,$fot(not(or(b,t5))))]]) ).
cnf(refute_0_21966,plain,
( not(or(t2,t5)) != not(or(b,t5))
| and(not(t5),not(t2)) = not(or(b,t5)) ),
inference(resolve,[$cnf( $equal(and(not(t5),not(t2)),not(or(t2,t5))) )],[refute_0_9025,refute_0_21965]) ).
cnf(refute_0_21967,plain,
and(not(t5),not(t2)) = not(or(b,t5)),
inference(resolve,[$cnf( $equal(not(or(t2,t5)),not(or(b,t5))) )],[refute_0_14307,refute_0_21966]) ).
cnf(refute_0_21968,plain,
and(t4,and(t6,not(t2))) = and(not(t5),not(t2)),
inference(subst,[],[refute_0_13074:[bind(Z,$fot(not(t2)))]]) ).
cnf(refute_0_21969,plain,
( and(not(t5),not(t2)) != not(or(b,t5))
| and(t4,and(t6,not(t2))) != and(not(t5),not(t2))
| and(t4,and(t6,not(t2))) = not(or(b,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t4,and(t6,not(t2))))),bind(Y0,$fot(and(not(t5),not(t2)))),bind(Z0,$fot(not(or(b,t5))))]]) ).
cnf(refute_0_21970,plain,
( and(not(t5),not(t2)) != not(or(b,t5))
| and(t4,and(t6,not(t2))) = not(or(b,t5)) ),
inference(resolve,[$cnf( $equal(and(t4,and(t6,not(t2))),and(not(t5),not(t2))) )],[refute_0_21968,refute_0_21969]) ).
cnf(refute_0_21971,plain,
and(t4,and(t6,not(t2))) = not(or(b,t5)),
inference(resolve,[$cnf( $equal(and(not(t5),not(t2)),not(or(b,t5))) )],[refute_0_21967,refute_0_21970]) ).
cnf(refute_0_21972,plain,
and(t4,xor(t2,or(b,t6))) = and(t4,xor(t2,or(b,t6))),
introduced(tautology,[refl,[$fot(and(t4,xor(t2,or(b,t6))))]]) ).
cnf(refute_0_21973,plain,
( and(t4,xor(t2,or(b,t6))) != and(t4,xor(t2,or(b,t6)))
| xor(t2,or(b,t6)) != and(t6,not(t2))
| and(t4,xor(t2,or(b,t6))) = and(t4,and(t6,not(t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,xor(t2,or(b,t6))),and(t4,xor(t2,or(b,t6)))) ),[1,1],$fot(and(t6,not(t2)))]]) ).
cnf(refute_0_21974,plain,
( xor(t2,or(b,t6)) != and(t6,not(t2))
| and(t4,xor(t2,or(b,t6))) = and(t4,and(t6,not(t2))) ),
inference(resolve,[$cnf( $equal(and(t4,xor(t2,or(b,t6))),and(t4,xor(t2,or(b,t6)))) )],[refute_0_21972,refute_0_21973]) ).
cnf(refute_0_21975,plain,
and(t4,xor(t2,or(b,t6))) = and(t4,and(t6,not(t2))),
inference(resolve,[$cnf( $equal(xor(t2,or(b,t6)),and(t6,not(t2))) )],[refute_0_21951,refute_0_21974]) ).
cnf(refute_0_21976,plain,
( and(t4,and(t6,not(t2))) != not(or(b,t5))
| and(t4,xor(t2,or(b,t6))) != and(t4,and(t6,not(t2)))
| and(t4,xor(t2,or(b,t6))) = not(or(b,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t4,xor(t2,or(b,t6))))),bind(Y0,$fot(and(t4,and(t6,not(t2))))),bind(Z0,$fot(not(or(b,t5))))]]) ).
cnf(refute_0_21977,plain,
( and(t4,and(t6,not(t2))) != not(or(b,t5))
| and(t4,xor(t2,or(b,t6))) = not(or(b,t5)) ),
inference(resolve,[$cnf( $equal(and(t4,xor(t2,or(b,t6))),and(t4,and(t6,not(t2)))) )],[refute_0_21975,refute_0_21976]) ).
cnf(refute_0_21978,plain,
and(t4,xor(t2,or(b,t6))) = not(or(b,t5)),
inference(resolve,[$cnf( $equal(and(t4,and(t6,not(t2))),not(or(b,t5))) )],[refute_0_21971,refute_0_21977]) ).
cnf(refute_0_21979,plain,
( and(t4,xor(t2,or(b,t6))) != not(or(b,t5))
| and(t6,not(t2)) != and(t4,xor(t2,or(b,t6)))
| and(t6,not(t2)) = not(or(b,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(t2)),and(t4,xor(t2,or(b,t6)))) ),[1],$fot(not(or(b,t5)))]]) ).
cnf(refute_0_21980,plain,
( and(t6,not(t2)) != and(t4,xor(t2,or(b,t6)))
| and(t6,not(t2)) = not(or(b,t5)) ),
inference(resolve,[$cnf( $equal(and(t4,xor(t2,or(b,t6))),not(or(b,t5))) )],[refute_0_21978,refute_0_21979]) ).
cnf(refute_0_21981,plain,
( xor(t2,or(b,t6)) != and(t4,xor(t2,or(b,t6)))
| and(t6,not(t2)) = not(or(b,t5)) ),
inference(resolve,[$cnf( $equal(and(t6,not(t2)),and(t4,xor(t2,or(b,t6)))) )],[refute_0_21964,refute_0_21980]) ).
cnf(refute_0_21982,plain,
and(t6,not(t2)) = not(or(b,t5)),
inference(resolve,[$cnf( $equal(xor(t2,or(b,t6)),and(t4,xor(t2,or(b,t6)))) )],[refute_0_21962,refute_0_21981]) ).
cnf(refute_0_21983,plain,
( and(t6,not(t2)) != not(or(b,t5))
| xor(t2,or(b,t6)) != and(t6,not(t2))
| xor(t2,or(b,t6)) = not(or(b,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,or(b,t6)),and(t6,not(t2))) ),[1],$fot(not(or(b,t5)))]]) ).
cnf(refute_0_21984,plain,
( xor(t2,or(b,t6)) != and(t6,not(t2))
| xor(t2,or(b,t6)) = not(or(b,t5)) ),
inference(resolve,[$cnf( $equal(and(t6,not(t2)),not(or(b,t5))) )],[refute_0_21982,refute_0_21983]) ).
cnf(refute_0_21985,plain,
xor(t2,or(b,t6)) = not(or(b,t5)),
inference(resolve,[$cnf( $equal(xor(t2,or(b,t6)),and(t6,not(t2))) )],[refute_0_21951,refute_0_21984]) ).
cnf(refute_0_21986,plain,
or(t2,xor(t2,or(b,t6))) = or(t2,xor(t2,or(b,t6))),
introduced(tautology,[refl,[$fot(or(t2,xor(t2,or(b,t6))))]]) ).
cnf(refute_0_21987,plain,
( or(t2,xor(t2,or(b,t6))) != or(t2,xor(t2,or(b,t6)))
| xor(t2,or(b,t6)) != not(or(b,t5))
| or(t2,xor(t2,or(b,t6))) = or(t2,not(or(b,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,xor(t2,or(b,t6))),or(t2,xor(t2,or(b,t6)))) ),[1,1],$fot(not(or(b,t5)))]]) ).
cnf(refute_0_21988,plain,
( xor(t2,or(b,t6)) != not(or(b,t5))
| or(t2,xor(t2,or(b,t6))) = or(t2,not(or(b,t5))) ),
inference(resolve,[$cnf( $equal(or(t2,xor(t2,or(b,t6))),or(t2,xor(t2,or(b,t6)))) )],[refute_0_21986,refute_0_21987]) ).
cnf(refute_0_21989,plain,
or(t2,xor(t2,or(b,t6))) = or(t2,not(or(b,t5))),
inference(resolve,[$cnf( $equal(xor(t2,or(b,t6)),not(or(b,t5))) )],[refute_0_21985,refute_0_21988]) ).
cnf(refute_0_21990,plain,
( or(t2,not(or(b,t5))) != not(xor(t2,or(b,t5)))
| or(t2,xor(t2,or(b,t6))) != or(t2,not(or(b,t5)))
| or(t2,xor(t2,or(b,t6))) = not(xor(t2,or(b,t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t2,xor(t2,or(b,t6))))),bind(Y0,$fot(or(t2,not(or(b,t5))))),bind(Z0,$fot(not(xor(t2,or(b,t5)))))]]) ).
cnf(refute_0_21991,plain,
( or(t2,not(or(b,t5))) != not(xor(t2,or(b,t5)))
| or(t2,xor(t2,or(b,t6))) = not(xor(t2,or(b,t5))) ),
inference(resolve,[$cnf( $equal(or(t2,xor(t2,or(b,t6))),or(t2,not(or(b,t5)))) )],[refute_0_21989,refute_0_21990]) ).
cnf(refute_0_21992,plain,
or(t2,xor(t2,or(b,t6))) = not(xor(t2,or(b,t5))),
inference(resolve,[$cnf( $equal(or(t2,not(or(b,t5))),not(xor(t2,or(b,t5)))) )],[refute_0_21720,refute_0_21991]) ).
cnf(refute_0_21993,plain,
( or(t2,xor(t2,or(b,t6))) != not(xor(t2,or(b,t5)))
| or(t2,xor(t2,or(b,t6))) != or(b,t6)
| not(xor(t2,or(b,t5))) = or(b,t6) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,xor(t2,or(b,t6))),or(b,t6)) ),[0],$fot(not(xor(t2,or(b,t5))))]]) ).
cnf(refute_0_21994,plain,
( or(t2,xor(t2,or(b,t6))) != or(b,t6)
| not(xor(t2,or(b,t5))) = or(b,t6) ),
inference(resolve,[$cnf( $equal(or(t2,xor(t2,or(b,t6))),not(xor(t2,or(b,t5)))) )],[refute_0_21992,refute_0_21993]) ).
cnf(refute_0_21995,plain,
not(xor(t2,or(b,t5))) = or(b,t6),
inference(resolve,[$cnf( $equal(or(t2,xor(t2,or(b,t6))),or(b,t6)) )],[refute_0_19406,refute_0_21994]) ).
cnf(refute_0_21996,plain,
and(t3,not(xor(t2,or(b,t5)))) = and(t3,not(xor(t2,or(b,t5)))),
introduced(tautology,[refl,[$fot(and(t3,not(xor(t2,or(b,t5)))))]]) ).
cnf(refute_0_21997,plain,
( and(t3,not(xor(t2,or(b,t5)))) != and(t3,not(xor(t2,or(b,t5))))
| not(xor(t2,or(b,t5))) != or(b,t6)
| and(t3,not(xor(t2,or(b,t5)))) = and(t3,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,not(xor(t2,or(b,t5)))),and(t3,not(xor(t2,or(b,t5))))) ),[1,1],$fot(or(b,t6))]]) ).
cnf(refute_0_21998,plain,
( not(xor(t2,or(b,t5))) != or(b,t6)
| and(t3,not(xor(t2,or(b,t5)))) = and(t3,or(b,t6)) ),
inference(resolve,[$cnf( $equal(and(t3,not(xor(t2,or(b,t5)))),and(t3,not(xor(t2,or(b,t5))))) )],[refute_0_21996,refute_0_21997]) ).
cnf(refute_0_21999,plain,
and(t3,not(xor(t2,or(b,t5)))) = and(t3,or(b,t6)),
inference(resolve,[$cnf( $equal(not(xor(t2,or(b,t5))),or(b,t6)) )],[refute_0_21995,refute_0_21998]) ).
cnf(refute_0_22000,plain,
( and(t3,not(xor(t2,or(b,t5)))) != and(t3,or(b,t6))
| and(t3,or(b,t6)) != and(t3,t6)
| and(t3,not(xor(t2,or(b,t5)))) = and(t3,t6) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t3,not(xor(t2,or(b,t5)))))),bind(Y0,$fot(and(t3,or(b,t6)))),bind(Z0,$fot(and(t3,t6)))]]) ).
cnf(refute_0_22001,plain,
( and(t3,or(b,t6)) != and(t3,t6)
| and(t3,not(xor(t2,or(b,t5)))) = and(t3,t6) ),
inference(resolve,[$cnf( $equal(and(t3,not(xor(t2,or(b,t5)))),and(t3,or(b,t6))) )],[refute_0_21999,refute_0_22000]) ).
cnf(refute_0_22002,plain,
and(t3,not(xor(t2,or(b,t5)))) = and(t3,t6),
inference(resolve,[$cnf( $equal(and(t3,or(b,t6)),and(t3,t6)) )],[refute_0_21869,refute_0_22001]) ).
cnf(refute_0_22003,plain,
( and(t3,not(xor(t2,or(b,t5)))) != and(t3,t6)
| and(t3,not(xor(t2,or(b,t5)))) != xor(t4,or(b,t5))
| and(t3,t6) = xor(t4,or(b,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,not(xor(t2,or(b,t5)))),xor(t4,or(b,t5))) ),[0],$fot(and(t3,t6))]]) ).
cnf(refute_0_22004,plain,
( and(t3,not(xor(t2,or(b,t5)))) != xor(t4,or(b,t5))
| and(t3,t6) = xor(t4,or(b,t5)) ),
inference(resolve,[$cnf( $equal(and(t3,not(xor(t2,or(b,t5)))),and(t3,t6)) )],[refute_0_22002,refute_0_22003]) ).
cnf(refute_0_22005,plain,
and(t3,t6) = xor(t4,or(b,t5)),
inference(resolve,[$cnf( $equal(and(t3,not(xor(t2,or(b,t5)))),xor(t4,or(b,t5))) )],[refute_0_21811,refute_0_22004]) ).
cnf(refute_0_22006,plain,
( and(t3,t6) != xor(t4,or(b,t5))
| xor(t4,or(b,t5)) = and(t3,t6) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t3,t6))),bind(Y0,$fot(xor(t4,or(b,t5))))]]) ).
cnf(refute_0_22007,plain,
xor(t4,or(b,t5)) = and(t3,t6),
inference(resolve,[$cnf( $equal(and(t3,t6),xor(t4,or(b,t5))) )],[refute_0_22005,refute_0_22006]) ).
cnf(refute_0_22008,plain,
not(xor(t4,or(b,t5))) = not(xor(t4,or(b,t5))),
introduced(tautology,[refl,[$fot(not(xor(t4,or(b,t5))))]]) ).
cnf(refute_0_22009,plain,
( not(xor(t4,or(b,t5))) != not(xor(t4,or(b,t5)))
| xor(t4,or(b,t5)) != and(t3,t6)
| not(xor(t4,or(b,t5))) = not(and(t3,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t4,or(b,t5))),not(xor(t4,or(b,t5)))) ),[1,0],$fot(and(t3,t6))]]) ).
cnf(refute_0_22010,plain,
( xor(t4,or(b,t5)) != and(t3,t6)
| not(xor(t4,or(b,t5))) = not(and(t3,t6)) ),
inference(resolve,[$cnf( $equal(not(xor(t4,or(b,t5))),not(xor(t4,or(b,t5)))) )],[refute_0_22008,refute_0_22009]) ).
cnf(refute_0_22011,plain,
not(xor(t4,or(b,t5))) = not(and(t3,t6)),
inference(resolve,[$cnf( $equal(xor(t4,or(b,t5)),and(t3,t6)) )],[refute_0_22007,refute_0_22010]) ).
cnf(refute_0_22012,plain,
and(t3,not(xor(t4,or(b,t5)))) = and(t3,not(xor(t4,or(b,t5)))),
introduced(tautology,[refl,[$fot(and(t3,not(xor(t4,or(b,t5)))))]]) ).
cnf(refute_0_22013,plain,
( and(t3,not(xor(t4,or(b,t5)))) != and(t3,not(xor(t4,or(b,t5))))
| not(xor(t4,or(b,t5))) != not(and(t3,t6))
| and(t3,not(xor(t4,or(b,t5)))) = and(t3,not(and(t3,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,not(xor(t4,or(b,t5)))),and(t3,not(xor(t4,or(b,t5))))) ),[1,1],$fot(not(and(t3,t6)))]]) ).
cnf(refute_0_22014,plain,
( not(xor(t4,or(b,t5))) != not(and(t3,t6))
| and(t3,not(xor(t4,or(b,t5)))) = and(t3,not(and(t3,t6))) ),
inference(resolve,[$cnf( $equal(and(t3,not(xor(t4,or(b,t5)))),and(t3,not(xor(t4,or(b,t5))))) )],[refute_0_22012,refute_0_22013]) ).
cnf(refute_0_22015,plain,
and(t3,not(xor(t4,or(b,t5)))) = and(t3,not(and(t3,t6))),
inference(resolve,[$cnf( $equal(not(xor(t4,or(b,t5))),not(and(t3,t6))) )],[refute_0_22011,refute_0_22014]) ).
cnf(refute_0_22016,plain,
( and(t3,not(and(t3,t6))) != not(or(b,t6))
| and(t3,not(xor(t4,or(b,t5)))) != and(t3,not(and(t3,t6)))
| and(t3,not(xor(t4,or(b,t5)))) = not(or(b,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t3,not(xor(t4,or(b,t5)))))),bind(Y0,$fot(and(t3,not(and(t3,t6))))),bind(Z0,$fot(not(or(b,t6))))]]) ).
cnf(refute_0_22017,plain,
( and(t3,not(and(t3,t6))) != not(or(b,t6))
| and(t3,not(xor(t4,or(b,t5)))) = not(or(b,t6)) ),
inference(resolve,[$cnf( $equal(and(t3,not(xor(t4,or(b,t5)))),and(t3,not(and(t3,t6)))) )],[refute_0_22015,refute_0_22016]) ).
cnf(refute_0_22018,plain,
and(t3,not(xor(t4,or(b,t5)))) = not(or(b,t6)),
inference(resolve,[$cnf( $equal(and(t3,not(and(t3,t6))),not(or(b,t6))) )],[refute_0_21778,refute_0_22017]) ).
cnf(refute_0_22019,plain,
( and(t3,not(xor(t4,or(b,t5)))) != not(or(b,t6))
| and(t3,not(xor(t4,or(b,t5)))) != xor(t2,or(b,t5))
| not(or(b,t6)) = xor(t2,or(b,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,not(xor(t4,or(b,t5)))),xor(t2,or(b,t5))) ),[0],$fot(not(or(b,t6)))]]) ).
cnf(refute_0_22020,plain,
( and(t3,not(xor(t4,or(b,t5)))) != xor(t2,or(b,t5))
| not(or(b,t6)) = xor(t2,or(b,t5)) ),
inference(resolve,[$cnf( $equal(and(t3,not(xor(t4,or(b,t5)))),not(or(b,t6))) )],[refute_0_22018,refute_0_22019]) ).
cnf(refute_0_22021,plain,
not(or(b,t6)) = xor(t2,or(b,t5)),
inference(resolve,[$cnf( $equal(and(t3,not(xor(t4,or(b,t5)))),xor(t2,or(b,t5))) )],[refute_0_21771,refute_0_22020]) ).
cnf(refute_0_22022,plain,
( not(or(b,t6)) != xor(t2,or(b,t5))
| xor(t2,or(b,t5)) = not(or(b,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(b,t6)))),bind(Y0,$fot(xor(t2,or(b,t5))))]]) ).
cnf(refute_0_22023,plain,
xor(t2,or(b,t5)) = not(or(b,t6)),
inference(resolve,[$cnf( $equal(not(or(b,t6)),xor(t2,or(b,t5))) )],[refute_0_22021,refute_0_22022]) ).
cnf(refute_0_22024,plain,
or(t2,xor(t2,or(b,t5))) = or(t2,xor(t2,or(b,t5))),
introduced(tautology,[refl,[$fot(or(t2,xor(t2,or(b,t5))))]]) ).
cnf(refute_0_22025,plain,
( or(t2,xor(t2,or(b,t5))) != or(t2,xor(t2,or(b,t5)))
| xor(t2,or(b,t5)) != not(or(b,t6))
| or(t2,xor(t2,or(b,t5))) = or(t2,not(or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,xor(t2,or(b,t5))),or(t2,xor(t2,or(b,t5)))) ),[1,1],$fot(not(or(b,t6)))]]) ).
cnf(refute_0_22026,plain,
( xor(t2,or(b,t5)) != not(or(b,t6))
| or(t2,xor(t2,or(b,t5))) = or(t2,not(or(b,t6))) ),
inference(resolve,[$cnf( $equal(or(t2,xor(t2,or(b,t5))),or(t2,xor(t2,or(b,t5)))) )],[refute_0_22024,refute_0_22025]) ).
cnf(refute_0_22027,plain,
or(t2,xor(t2,or(b,t5))) = or(t2,not(or(b,t6))),
inference(resolve,[$cnf( $equal(xor(t2,or(b,t5)),not(or(b,t6))) )],[refute_0_22023,refute_0_22026]) ).
cnf(refute_0_22028,plain,
( or(t2,not(or(b,t6))) != or(t2,not(t6))
| or(t2,xor(t2,or(b,t5))) != or(t2,not(or(b,t6)))
| or(t2,xor(t2,or(b,t5))) = or(t2,not(t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t2,xor(t2,or(b,t5))))),bind(Y0,$fot(or(t2,not(or(b,t6))))),bind(Z0,$fot(or(t2,not(t6))))]]) ).
cnf(refute_0_22029,plain,
( or(t2,not(or(b,t6))) != or(t2,not(t6))
| or(t2,xor(t2,or(b,t5))) = or(t2,not(t6)) ),
inference(resolve,[$cnf( $equal(or(t2,xor(t2,or(b,t5))),or(t2,not(or(b,t6)))) )],[refute_0_22027,refute_0_22028]) ).
cnf(refute_0_22030,plain,
or(t2,xor(t2,or(b,t5))) = or(t2,not(t6)),
inference(resolve,[$cnf( $equal(or(t2,not(or(b,t6))),or(t2,not(t6))) )],[refute_0_21655,refute_0_22029]) ).
cnf(refute_0_22031,plain,
( or(t2,xor(t2,or(b,t5))) != or(b,t5)
| or(t2,xor(t2,or(b,t5))) != or(t2,not(t6))
| or(t2,not(t6)) = or(b,t5) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,xor(t2,or(b,t5))),or(b,t5)) ),[0],$fot(or(t2,not(t6)))]]) ).
cnf(refute_0_22032,plain,
( or(t2,xor(t2,or(b,t5))) != or(b,t5)
| or(t2,not(t6)) = or(b,t5) ),
inference(resolve,[$cnf( $equal(or(t2,xor(t2,or(b,t5))),or(t2,not(t6))) )],[refute_0_22030,refute_0_22031]) ).
cnf(refute_0_22033,plain,
or(t2,not(t6)) = or(b,t5),
inference(resolve,[$cnf( $equal(or(t2,xor(t2,or(b,t5))),or(b,t5)) )],[refute_0_21638,refute_0_22032]) ).
cnf(refute_0_22034,plain,
and(t3,or(t2,not(t6))) = and(t3,or(t2,not(t6))),
introduced(tautology,[refl,[$fot(and(t3,or(t2,not(t6))))]]) ).
cnf(refute_0_22035,plain,
( and(t3,or(t2,not(t6))) != and(t3,or(t2,not(t6)))
| or(t2,not(t6)) != or(b,t5)
| and(t3,or(t2,not(t6))) = and(t3,or(b,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,or(t2,not(t6))),and(t3,or(t2,not(t6)))) ),[1,1],$fot(or(b,t5))]]) ).
cnf(refute_0_22036,plain,
( or(t2,not(t6)) != or(b,t5)
| and(t3,or(t2,not(t6))) = and(t3,or(b,t5)) ),
inference(resolve,[$cnf( $equal(and(t3,or(t2,not(t6))),and(t3,or(t2,not(t6)))) )],[refute_0_22034,refute_0_22035]) ).
cnf(refute_0_22037,plain,
and(t3,or(t2,not(t6))) = and(t3,or(b,t5)),
inference(resolve,[$cnf( $equal(or(t2,not(t6)),or(b,t5)) )],[refute_0_22033,refute_0_22036]) ).
cnf(refute_0_22038,plain,
( and(t3,or(t2,not(t6))) != and(t3,or(b,t5))
| and(t3,or(t2,not(t6))) != xor(t4,or(b,t6))
| and(t3,or(b,t5)) = xor(t4,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,or(t2,not(t6))),xor(t4,or(b,t6))) ),[0],$fot(and(t3,or(b,t5)))]]) ).
cnf(refute_0_22039,plain,
( and(t3,or(t2,not(t6))) != xor(t4,or(b,t6))
| and(t3,or(b,t5)) = xor(t4,or(b,t6)) ),
inference(resolve,[$cnf( $equal(and(t3,or(t2,not(t6))),and(t3,or(b,t5))) )],[refute_0_22037,refute_0_22038]) ).
cnf(refute_0_22040,plain,
and(t3,or(b,t5)) = xor(t4,or(b,t6)),
inference(resolve,[$cnf( $equal(and(t3,or(t2,not(t6))),xor(t4,or(b,t6))) )],[refute_0_21521,refute_0_22039]) ).
cnf(refute_0_22041,plain,
( and(t3,or(b,t5)) != xor(t4,or(b,t6))
| xor(t4,or(b,t6)) = and(t3,or(b,t5)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t3,or(b,t5)))),bind(Y0,$fot(xor(t4,or(b,t6))))]]) ).
cnf(refute_0_22042,plain,
xor(t4,or(b,t6)) = and(t3,or(b,t5)),
inference(resolve,[$cnf( $equal(and(t3,or(b,t5)),xor(t4,or(b,t6))) )],[refute_0_22040,refute_0_22041]) ).
cnf(refute_0_22043,plain,
or(t6,xor(t4,or(b,t6))) = or(t6,xor(t4,or(b,t6))),
introduced(tautology,[refl,[$fot(or(t6,xor(t4,or(b,t6))))]]) ).
cnf(refute_0_22044,plain,
( or(t6,xor(t4,or(b,t6))) != or(t6,xor(t4,or(b,t6)))
| xor(t4,or(b,t6)) != and(t3,or(b,t5))
| or(t6,xor(t4,or(b,t6))) = or(t6,and(t3,or(b,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,xor(t4,or(b,t6))),or(t6,xor(t4,or(b,t6)))) ),[1,1],$fot(and(t3,or(b,t5)))]]) ).
cnf(refute_0_22045,plain,
( xor(t4,or(b,t6)) != and(t3,or(b,t5))
| or(t6,xor(t4,or(b,t6))) = or(t6,and(t3,or(b,t5))) ),
inference(resolve,[$cnf( $equal(or(t6,xor(t4,or(b,t6))),or(t6,xor(t4,or(b,t6)))) )],[refute_0_22043,refute_0_22044]) ).
cnf(refute_0_22046,plain,
or(t6,xor(t4,or(b,t6))) = or(t6,and(t3,or(b,t5))),
inference(resolve,[$cnf( $equal(xor(t4,or(b,t6)),and(t3,or(b,t5))) )],[refute_0_22042,refute_0_22045]) ).
cnf(refute_0_22047,plain,
( or(t6,and(t3,or(b,t5))) != or(a,t6)
| or(t6,xor(t4,or(b,t6))) != or(t6,and(t3,or(b,t5)))
| or(t6,xor(t4,or(b,t6))) = or(a,t6) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t6,xor(t4,or(b,t6))))),bind(Y0,$fot(or(t6,and(t3,or(b,t5))))),bind(Z0,$fot(or(a,t6)))]]) ).
cnf(refute_0_22048,plain,
( or(t6,and(t3,or(b,t5))) != or(a,t6)
| or(t6,xor(t4,or(b,t6))) = or(a,t6) ),
inference(resolve,[$cnf( $equal(or(t6,xor(t4,or(b,t6))),or(t6,and(t3,or(b,t5)))) )],[refute_0_22046,refute_0_22047]) ).
cnf(refute_0_22049,plain,
or(t6,xor(t4,or(b,t6))) = or(a,t6),
inference(resolve,[$cnf( $equal(or(t6,and(t3,or(b,t5))),or(a,t6)) )],[refute_0_21439,refute_0_22048]) ).
cnf(refute_0_22050,plain,
( or(t6,xor(t4,or(b,t6))) != not(xor(t6,or(b,t6)))
| or(t6,xor(t4,or(b,t6))) != or(a,t6)
| or(a,t6) = not(xor(t6,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,xor(t4,or(b,t6))),not(xor(t6,or(b,t6)))) ),[0],$fot(or(a,t6))]]) ).
cnf(refute_0_22051,plain,
( or(t6,xor(t4,or(b,t6))) != not(xor(t6,or(b,t6)))
| or(a,t6) = not(xor(t6,or(b,t6))) ),
inference(resolve,[$cnf( $equal(or(t6,xor(t4,or(b,t6))),or(a,t6)) )],[refute_0_22049,refute_0_22050]) ).
cnf(refute_0_22052,plain,
or(a,t6) = not(xor(t6,or(b,t6))),
inference(resolve,[$cnf( $equal(or(t6,xor(t4,or(b,t6))),not(xor(t6,or(b,t6)))) )],[refute_0_21383,refute_0_22051]) ).
cnf(refute_0_22053,plain,
( or(a,t6) != not(xor(t6,or(b,t6)))
| not(xor(t6,or(b,t6))) = or(a,t6) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(a,t6))),bind(Y0,$fot(not(xor(t6,or(b,t6)))))]]) ).
cnf(refute_0_22054,plain,
not(xor(t6,or(b,t6))) = or(a,t6),
inference(resolve,[$cnf( $equal(or(a,t6),not(xor(t6,or(b,t6)))) )],[refute_0_22052,refute_0_22053]) ).
cnf(refute_0_22055,plain,
and(t4,not(xor(t6,or(b,t6)))) = and(t4,not(xor(t6,or(b,t6)))),
introduced(tautology,[refl,[$fot(and(t4,not(xor(t6,or(b,t6)))))]]) ).
cnf(refute_0_22056,plain,
( and(t4,not(xor(t6,or(b,t6)))) != and(t4,not(xor(t6,or(b,t6))))
| not(xor(t6,or(b,t6))) != or(a,t6)
| and(t4,not(xor(t6,or(b,t6)))) = and(t4,or(a,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,not(xor(t6,or(b,t6)))),and(t4,not(xor(t6,or(b,t6))))) ),[1,1],$fot(or(a,t6))]]) ).
cnf(refute_0_22057,plain,
( not(xor(t6,or(b,t6))) != or(a,t6)
| and(t4,not(xor(t6,or(b,t6)))) = and(t4,or(a,t6)) ),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t6,or(b,t6)))),and(t4,not(xor(t6,or(b,t6))))) )],[refute_0_22055,refute_0_22056]) ).
cnf(refute_0_22058,plain,
and(t4,not(xor(t6,or(b,t6)))) = and(t4,or(a,t6)),
inference(resolve,[$cnf( $equal(not(xor(t6,or(b,t6))),or(a,t6)) )],[refute_0_22054,refute_0_22057]) ).
cnf(refute_0_22059,plain,
( and(t4,not(xor(t6,or(b,t6)))) != and(t4,or(a,t6))
| and(t4,not(xor(t6,or(b,t6)))) != xor(t5,or(b,t6))
| and(t4,or(a,t6)) = xor(t5,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,not(xor(t6,or(b,t6)))),xor(t5,or(b,t6))) ),[0],$fot(and(t4,or(a,t6)))]]) ).
cnf(refute_0_22060,plain,
( and(t4,not(xor(t6,or(b,t6)))) != xor(t5,or(b,t6))
| and(t4,or(a,t6)) = xor(t5,or(b,t6)) ),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t6,or(b,t6)))),and(t4,or(a,t6))) )],[refute_0_22058,refute_0_22059]) ).
cnf(refute_0_22061,plain,
and(t4,or(a,t6)) = xor(t5,or(b,t6)),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t6,or(b,t6)))),xor(t5,or(b,t6))) )],[refute_0_21269,refute_0_22060]) ).
cnf(refute_0_22062,plain,
( and(t4,or(a,t6)) != xor(t5,or(b,t6))
| xor(t5,or(b,t6)) = and(t4,or(a,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t4,or(a,t6)))),bind(Y0,$fot(xor(t5,or(b,t6))))]]) ).
cnf(refute_0_22063,plain,
xor(t5,or(b,t6)) = and(t4,or(a,t6)),
inference(resolve,[$cnf( $equal(and(t4,or(a,t6)),xor(t5,or(b,t6))) )],[refute_0_22061,refute_0_22062]) ).
cnf(refute_0_22064,plain,
and(not(a),xor(t5,or(b,t6))) = and(not(a),xor(t5,or(b,t6))),
introduced(tautology,[refl,[$fot(and(not(a),xor(t5,or(b,t6))))]]) ).
cnf(refute_0_22065,plain,
( and(not(a),xor(t5,or(b,t6))) != and(not(a),xor(t5,or(b,t6)))
| xor(t5,or(b,t6)) != and(t4,or(a,t6))
| and(not(a),xor(t5,or(b,t6))) = and(not(a),and(t4,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(a),xor(t5,or(b,t6))),and(not(a),xor(t5,or(b,t6)))) ),[1,1],$fot(and(t4,or(a,t6)))]]) ).
cnf(refute_0_22066,plain,
( xor(t5,or(b,t6)) != and(t4,or(a,t6))
| and(not(a),xor(t5,or(b,t6))) = and(not(a),and(t4,or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(not(a),xor(t5,or(b,t6))),and(not(a),xor(t5,or(b,t6)))) )],[refute_0_22064,refute_0_22065]) ).
cnf(refute_0_22067,plain,
and(not(a),xor(t5,or(b,t6))) = and(not(a),and(t4,or(a,t6))),
inference(resolve,[$cnf( $equal(xor(t5,or(b,t6)),and(t4,or(a,t6))) )],[refute_0_22063,refute_0_22066]) ).
cnf(refute_0_22068,plain,
( and(not(a),and(t4,or(a,t6))) != xor(t3,or(a,t6))
| and(not(a),xor(t5,or(b,t6))) != and(not(a),and(t4,or(a,t6)))
| and(not(a),xor(t5,or(b,t6))) = xor(t3,or(a,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(a),xor(t5,or(b,t6))))),bind(Y0,$fot(and(not(a),and(t4,or(a,t6))))),bind(Z0,$fot(xor(t3,or(a,t6))))]]) ).
cnf(refute_0_22069,plain,
( and(not(a),and(t4,or(a,t6))) != xor(t3,or(a,t6))
| and(not(a),xor(t5,or(b,t6))) = xor(t3,or(a,t6)) ),
inference(resolve,[$cnf( $equal(and(not(a),xor(t5,or(b,t6))),and(not(a),and(t4,or(a,t6)))) )],[refute_0_22067,refute_0_22068]) ).
cnf(refute_0_22070,plain,
and(not(a),xor(t5,or(b,t6))) = xor(t3,or(a,t6)),
inference(resolve,[$cnf( $equal(and(not(a),and(t4,or(a,t6))),xor(t3,or(a,t6))) )],[refute_0_21055,refute_0_22069]) ).
cnf(refute_0_22071,plain,
( and(not(a),xor(t5,or(b,t6))) != not(or(a,t5))
| and(not(a),xor(t5,or(b,t6))) != xor(t3,or(a,t6))
| xor(t3,or(a,t6)) = not(or(a,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(a),xor(t5,or(b,t6))),not(or(a,t5))) ),[0],$fot(xor(t3,or(a,t6)))]]) ).
cnf(refute_0_22072,plain,
( and(not(a),xor(t5,or(b,t6))) != not(or(a,t5))
| xor(t3,or(a,t6)) = not(or(a,t5)) ),
inference(resolve,[$cnf( $equal(and(not(a),xor(t5,or(b,t6))),xor(t3,or(a,t6))) )],[refute_0_22070,refute_0_22071]) ).
cnf(refute_0_22073,plain,
xor(t3,or(a,t6)) = not(or(a,t5)),
inference(resolve,[$cnf( $equal(and(not(a),xor(t5,or(b,t6))),not(or(a,t5))) )],[refute_0_21027,refute_0_22072]) ).
cnf(refute_0_22074,plain,
not(xor(t3,or(a,t6))) = not(xor(t3,or(a,t6))),
introduced(tautology,[refl,[$fot(not(xor(t3,or(a,t6))))]]) ).
cnf(refute_0_22075,plain,
( not(xor(t3,or(a,t6))) != not(xor(t3,or(a,t6)))
| xor(t3,or(a,t6)) != not(or(a,t5))
| not(xor(t3,or(a,t6))) = not(not(or(a,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t3,or(a,t6))),not(xor(t3,or(a,t6)))) ),[1,0],$fot(not(or(a,t5)))]]) ).
cnf(refute_0_22076,plain,
( xor(t3,or(a,t6)) != not(or(a,t5))
| not(xor(t3,or(a,t6))) = not(not(or(a,t5))) ),
inference(resolve,[$cnf( $equal(not(xor(t3,or(a,t6))),not(xor(t3,or(a,t6)))) )],[refute_0_22074,refute_0_22075]) ).
cnf(refute_0_22077,plain,
not(xor(t3,or(a,t6))) = not(not(or(a,t5))),
inference(resolve,[$cnf( $equal(xor(t3,or(a,t6)),not(or(a,t5))) )],[refute_0_22073,refute_0_22076]) ).
cnf(refute_0_22078,plain,
( not(not(or(a,t5))) != or(a,t5)
| not(xor(t3,or(a,t6))) != not(not(or(a,t5)))
| not(xor(t3,or(a,t6))) = or(a,t5) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t3,or(a,t6))))),bind(Y0,$fot(not(not(or(a,t5))))),bind(Z0,$fot(or(a,t5)))]]) ).
cnf(refute_0_22079,plain,
( not(not(or(a,t5))) != or(a,t5)
| not(xor(t3,or(a,t6))) = or(a,t5) ),
inference(resolve,[$cnf( $equal(not(xor(t3,or(a,t6))),not(not(or(a,t5)))) )],[refute_0_22077,refute_0_22078]) ).
cnf(refute_0_22080,plain,
not(xor(t3,or(a,t6))) = or(a,t5),
inference(resolve,[$cnf( $equal(not(not(or(a,t5))),or(a,t5)) )],[refute_0_18515,refute_0_22079]) ).
cnf(refute_0_22081,plain,
and(carry,not(xor(t3,or(a,t6)))) = and(carry,not(xor(t3,or(a,t6)))),
introduced(tautology,[refl,[$fot(and(carry,not(xor(t3,or(a,t6)))))]]) ).
cnf(refute_0_22082,plain,
( and(carry,not(xor(t3,or(a,t6)))) != and(carry,not(xor(t3,or(a,t6))))
| not(xor(t3,or(a,t6))) != or(a,t5)
| and(carry,not(xor(t3,or(a,t6)))) = and(carry,or(a,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,not(xor(t3,or(a,t6)))),and(carry,not(xor(t3,or(a,t6))))) ),[1,1],$fot(or(a,t5))]]) ).
cnf(refute_0_22083,plain,
( not(xor(t3,or(a,t6))) != or(a,t5)
| and(carry,not(xor(t3,or(a,t6)))) = and(carry,or(a,t5)) ),
inference(resolve,[$cnf( $equal(and(carry,not(xor(t3,or(a,t6)))),and(carry,not(xor(t3,or(a,t6))))) )],[refute_0_22081,refute_0_22082]) ).
cnf(refute_0_22084,plain,
and(carry,not(xor(t3,or(a,t6)))) = and(carry,or(a,t5)),
inference(resolve,[$cnf( $equal(not(xor(t3,or(a,t6))),or(a,t5)) )],[refute_0_22080,refute_0_22083]) ).
cnf(refute_0_22085,plain,
( and(carry,not(xor(t3,or(a,t6)))) != and(carry,or(a,t5))
| and(carry,not(xor(t3,or(a,t6)))) != xor(a,xor(t6,or(a,t6)))
| and(carry,or(a,t5)) = xor(a,xor(t6,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,not(xor(t3,or(a,t6)))),xor(a,xor(t6,or(a,t6)))) ),[0],$fot(and(carry,or(a,t5)))]]) ).
cnf(refute_0_22086,plain,
( and(carry,not(xor(t3,or(a,t6)))) != xor(a,xor(t6,or(a,t6)))
| and(carry,or(a,t5)) = xor(a,xor(t6,or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(carry,not(xor(t3,or(a,t6)))),and(carry,or(a,t5))) )],[refute_0_22084,refute_0_22085]) ).
cnf(refute_0_22087,plain,
and(carry,or(a,t5)) = xor(a,xor(t6,or(a,t6))),
inference(resolve,[$cnf( $equal(and(carry,not(xor(t3,or(a,t6)))),xor(a,xor(t6,or(a,t6)))) )],[refute_0_18514,refute_0_22086]) ).
cnf(refute_0_22088,plain,
and(xor(a,xor(t6,or(a,t6))),or(a,xor(a,xor(t6,or(a,t6))))) = xor(a,xor(t6,or(a,t6))),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(xor(a,xor(t6,or(a,t6))))),bind(X_20,$fot(a))]]) ).
cnf(refute_0_22089,plain,
or(a,and(a,not(xor(t6,or(a,t6))))) = a,
inference(subst,[],[or_absorption:[bind(X,$fot(a)),bind(Y,$fot(not(xor(t6,or(a,t6)))))]]) ).
cnf(refute_0_22090,plain,
( and(a,not(xor(t6,or(a,t6)))) != xor(a,xor(t6,or(a,t6)))
| or(a,and(a,not(xor(t6,or(a,t6))))) != a
| or(a,xor(a,xor(t6,or(a,t6)))) = a ),
introduced(tautology,[equality,[$cnf( $equal(or(a,and(a,not(xor(t6,or(a,t6))))),a) ),[0,1],$fot(xor(a,xor(t6,or(a,t6))))]]) ).
cnf(refute_0_22091,plain,
( or(a,and(a,not(xor(t6,or(a,t6))))) != a
| or(a,xor(a,xor(t6,or(a,t6)))) = a ),
inference(resolve,[$cnf( $equal(and(a,not(xor(t6,or(a,t6)))),xor(a,xor(t6,or(a,t6)))) )],[refute_0_18089,refute_0_22090]) ).
cnf(refute_0_22092,plain,
or(a,xor(a,xor(t6,or(a,t6)))) = a,
inference(resolve,[$cnf( $equal(or(a,and(a,not(xor(t6,or(a,t6))))),a) )],[refute_0_22089,refute_0_22091]) ).
cnf(refute_0_22093,plain,
( and(xor(a,xor(t6,or(a,t6))),or(a,xor(a,xor(t6,or(a,t6))))) != xor(a,xor(t6,or(a,t6)))
| or(a,xor(a,xor(t6,or(a,t6)))) != a
| and(xor(a,xor(t6,or(a,t6))),a) = xor(a,xor(t6,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(a,xor(t6,or(a,t6))),or(a,xor(a,xor(t6,or(a,t6))))),xor(a,xor(t6,or(a,t6)))) ),[0,1],$fot(a)]]) ).
cnf(refute_0_22094,plain,
( and(xor(a,xor(t6,or(a,t6))),or(a,xor(a,xor(t6,or(a,t6))))) != xor(a,xor(t6,or(a,t6)))
| and(xor(a,xor(t6,or(a,t6))),a) = xor(a,xor(t6,or(a,t6))) ),
inference(resolve,[$cnf( $equal(or(a,xor(a,xor(t6,or(a,t6)))),a) )],[refute_0_22092,refute_0_22093]) ).
cnf(refute_0_22095,plain,
and(xor(a,xor(t6,or(a,t6))),a) = xor(a,xor(t6,or(a,t6))),
inference(resolve,[$cnf( $equal(and(xor(a,xor(t6,or(a,t6))),or(a,xor(a,xor(t6,or(a,t6))))),xor(a,xor(t6,or(a,t6)))) )],[refute_0_22088,refute_0_22094]) ).
cnf(refute_0_22096,plain,
and(xor(a,xor(t6,or(a,t6))),a) = and(a,xor(a,xor(t6,or(a,t6)))),
inference(subst,[],[refute_0_116:[bind(X,$fot(a)),bind(Y,$fot(xor(a,xor(t6,or(a,t6)))))]]) ).
cnf(refute_0_22097,plain,
( and(xor(a,xor(t6,or(a,t6))),a) != and(a,xor(a,xor(t6,or(a,t6))))
| and(xor(a,xor(t6,or(a,t6))),a) != xor(a,xor(t6,or(a,t6)))
| and(a,xor(a,xor(t6,or(a,t6)))) = xor(a,xor(t6,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(a,xor(t6,or(a,t6))),a),xor(a,xor(t6,or(a,t6)))) ),[0],$fot(and(a,xor(a,xor(t6,or(a,t6)))))]]) ).
cnf(refute_0_22098,plain,
( and(xor(a,xor(t6,or(a,t6))),a) != xor(a,xor(t6,or(a,t6)))
| and(a,xor(a,xor(t6,or(a,t6)))) = xor(a,xor(t6,or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(xor(a,xor(t6,or(a,t6))),a),and(a,xor(a,xor(t6,or(a,t6))))) )],[refute_0_22096,refute_0_22097]) ).
cnf(refute_0_22099,plain,
and(a,xor(a,xor(t6,or(a,t6)))) = xor(a,xor(t6,or(a,t6))),
inference(resolve,[$cnf( $equal(and(xor(a,xor(t6,or(a,t6))),a),xor(a,xor(t6,or(a,t6)))) )],[refute_0_22095,refute_0_22098]) ).
cnf(refute_0_22100,plain,
and(and(X_220,X_221),or(and(X_220,X_221),Y)) = and(X_220,X_221),
inference(subst,[],[and_absorption:[bind(X,$fot(and(X_220,X_221)))]]) ).
cnf(refute_0_22101,plain,
and(and(X_220,X_221),or(and(X_220,X_221),Y)) = and(X_220,and(X_221,or(and(X_220,X_221),Y))),
inference(subst,[],[and_associative:[bind(X,$fot(X_220)),bind(Y,$fot(X_221)),bind(Z,$fot(or(and(X_220,X_221),Y)))]]) ).
cnf(refute_0_22102,plain,
( and(and(X_220,X_221),or(and(X_220,X_221),Y)) != and(X_220,X_221)
| and(and(X_220,X_221),or(and(X_220,X_221),Y)) != and(X_220,and(X_221,or(and(X_220,X_221),Y)))
| and(X_220,and(X_221,or(and(X_220,X_221),Y))) = and(X_220,X_221) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X_220,X_221),or(and(X_220,X_221),Y)),and(X_220,X_221)) ),[0],$fot(and(X_220,and(X_221,or(and(X_220,X_221),Y))))]]) ).
cnf(refute_0_22103,plain,
( and(and(X_220,X_221),or(and(X_220,X_221),Y)) != and(X_220,X_221)
| and(X_220,and(X_221,or(and(X_220,X_221),Y))) = and(X_220,X_221) ),
inference(resolve,[$cnf( $equal(and(and(X_220,X_221),or(and(X_220,X_221),Y)),and(X_220,and(X_221,or(and(X_220,X_221),Y)))) )],[refute_0_22101,refute_0_22102]) ).
cnf(refute_0_22104,plain,
and(X_220,and(X_221,or(and(X_220,X_221),Y))) = and(X_220,X_221),
inference(resolve,[$cnf( $equal(and(and(X_220,X_221),or(and(X_220,X_221),Y)),and(X_220,X_221)) )],[refute_0_22100,refute_0_22103]) ).
cnf(refute_0_22105,plain,
and(X_752,or(and(Y,X_752),X_754)) = or(and(X_752,and(Y,X_752)),and(X_752,X_754)),
inference(subst,[],[or_distributive:[bind(X,$fot(X_752)),bind(Y,$fot(and(Y,X_752))),bind(Z,$fot(X_754))]]) ).
cnf(refute_0_22106,plain,
( and(X_752,and(Y,X_752)) != and(X_752,Y)
| and(X_752,or(and(Y,X_752),X_754)) != or(and(X_752,and(Y,X_752)),and(X_752,X_754))
| and(X_752,or(and(Y,X_752),X_754)) = or(and(X_752,Y),and(X_752,X_754)) ),
introduced(tautology,[equality,[$cnf( $equal(and(X_752,or(and(Y,X_752),X_754)),or(and(X_752,and(Y,X_752)),and(X_752,X_754))) ),[1,0],$fot(and(X_752,Y))]]) ).
cnf(refute_0_22107,plain,
( and(X_752,or(and(Y,X_752),X_754)) != or(and(X_752,and(Y,X_752)),and(X_752,X_754))
| and(X_752,or(and(Y,X_752),X_754)) = or(and(X_752,Y),and(X_752,X_754)) ),
inference(resolve,[$cnf( $equal(and(X_752,and(Y,X_752)),and(X_752,Y)) )],[refute_0_13717,refute_0_22106]) ).
cnf(refute_0_22108,plain,
and(X_752,or(and(Y,X_752),X_754)) = or(and(X_752,Y),and(X_752,X_754)),
inference(resolve,[$cnf( $equal(and(X_752,or(and(Y,X_752),X_754)),or(and(X_752,and(Y,X_752)),and(X_752,X_754))) )],[refute_0_22105,refute_0_22107]) ).
cnf(refute_0_22109,plain,
or(and(X_752,Y),and(X_752,X_754)) = and(X_752,or(Y,X_754)),
inference(subst,[],[refute_0_3842:[bind(X,$fot(X_752)),bind(Z,$fot(X_754))]]) ).
cnf(refute_0_22110,plain,
( and(X_752,or(and(Y,X_752),X_754)) != or(and(X_752,Y),and(X_752,X_754))
| or(and(X_752,Y),and(X_752,X_754)) != and(X_752,or(Y,X_754))
| and(X_752,or(and(Y,X_752),X_754)) = and(X_752,or(Y,X_754)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(X_752,or(and(Y,X_752),X_754)),and(X_752,or(Y,X_754))) ),[0],$fot(or(and(X_752,Y),and(X_752,X_754)))]]) ).
cnf(refute_0_22111,plain,
( and(X_752,or(and(Y,X_752),X_754)) != or(and(X_752,Y),and(X_752,X_754))
| and(X_752,or(and(Y,X_752),X_754)) = and(X_752,or(Y,X_754)) ),
inference(resolve,[$cnf( $equal(or(and(X_752,Y),and(X_752,X_754)),and(X_752,or(Y,X_754))) )],[refute_0_22109,refute_0_22110]) ).
cnf(refute_0_22112,plain,
and(X_752,or(and(Y,X_752),X_754)) = and(X_752,or(Y,X_754)),
inference(resolve,[$cnf( $equal(and(X_752,or(and(Y,X_752),X_754)),or(and(X_752,Y),and(X_752,X_754))) )],[refute_0_22108,refute_0_22111]) ).
cnf(refute_0_22113,plain,
and(X_221,or(and(X_220,X_221),Y)) = and(X_221,or(X_220,Y)),
inference(subst,[],[refute_0_22112:[bind(Y,$fot(X_220)),bind(X_752,$fot(X_221)),bind(X_754,$fot(Y))]]) ).
cnf(refute_0_22114,plain,
and(X_220,and(X_221,or(and(X_220,X_221),Y))) = and(X_220,and(X_221,or(and(X_220,X_221),Y))),
introduced(tautology,[refl,[$fot(and(X_220,and(X_221,or(and(X_220,X_221),Y))))]]) ).
cnf(refute_0_22115,plain,
( and(X_220,and(X_221,or(and(X_220,X_221),Y))) != and(X_220,and(X_221,or(and(X_220,X_221),Y)))
| and(X_221,or(and(X_220,X_221),Y)) != and(X_221,or(X_220,Y))
| and(X_220,and(X_221,or(and(X_220,X_221),Y))) = and(X_220,and(X_221,or(X_220,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(and(X_220,and(X_221,or(and(X_220,X_221),Y))),and(X_220,and(X_221,or(and(X_220,X_221),Y)))) ),[1,1],$fot(and(X_221,or(X_220,Y)))]]) ).
cnf(refute_0_22116,plain,
( and(X_221,or(and(X_220,X_221),Y)) != and(X_221,or(X_220,Y))
| and(X_220,and(X_221,or(and(X_220,X_221),Y))) = and(X_220,and(X_221,or(X_220,Y))) ),
inference(resolve,[$cnf( $equal(and(X_220,and(X_221,or(and(X_220,X_221),Y))),and(X_220,and(X_221,or(and(X_220,X_221),Y)))) )],[refute_0_22114,refute_0_22115]) ).
cnf(refute_0_22117,plain,
and(X_220,and(X_221,or(and(X_220,X_221),Y))) = and(X_220,and(X_221,or(X_220,Y))),
inference(resolve,[$cnf( $equal(and(X_221,or(and(X_220,X_221),Y)),and(X_221,or(X_220,Y))) )],[refute_0_22113,refute_0_22116]) ).
cnf(refute_0_22118,plain,
( and(X_220,and(X_221,or(and(X_220,X_221),Y))) != and(X_220,X_221)
| and(X_220,and(X_221,or(and(X_220,X_221),Y))) != and(X_220,and(X_221,or(X_220,Y)))
| and(X_220,and(X_221,or(X_220,Y))) = and(X_220,X_221) ),
introduced(tautology,[equality,[$cnf( $equal(and(X_220,and(X_221,or(and(X_220,X_221),Y))),and(X_220,X_221)) ),[0],$fot(and(X_220,and(X_221,or(X_220,Y))))]]) ).
cnf(refute_0_22119,plain,
( and(X_220,and(X_221,or(and(X_220,X_221),Y))) != and(X_220,X_221)
| and(X_220,and(X_221,or(X_220,Y))) = and(X_220,X_221) ),
inference(resolve,[$cnf( $equal(and(X_220,and(X_221,or(and(X_220,X_221),Y))),and(X_220,and(X_221,or(X_220,Y)))) )],[refute_0_22117,refute_0_22118]) ).
cnf(refute_0_22120,plain,
and(X_220,and(X_221,or(X_220,Y))) = and(X_220,X_221),
inference(resolve,[$cnf( $equal(and(X_220,and(X_221,or(and(X_220,X_221),Y))),and(X_220,X_221)) )],[refute_0_22104,refute_0_22119]) ).
cnf(refute_0_22121,plain,
and(a,and(carry,or(a,t5))) = and(a,carry),
inference(subst,[],[refute_0_22120:[bind(Y,$fot(t5)),bind(X_220,$fot(a)),bind(X_221,$fot(carry))]]) ).
cnf(refute_0_22122,plain,
( and(carry,or(a,t5)) != xor(a,xor(t6,or(a,t6)))
| xor(a,xor(t6,or(a,t6))) = and(carry,or(a,t5)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(carry,or(a,t5)))),bind(Y0,$fot(xor(a,xor(t6,or(a,t6)))))]]) ).
cnf(refute_0_22123,plain,
xor(a,xor(t6,or(a,t6))) = and(carry,or(a,t5)),
inference(resolve,[$cnf( $equal(and(carry,or(a,t5)),xor(a,xor(t6,or(a,t6)))) )],[refute_0_22087,refute_0_22122]) ).
cnf(refute_0_22124,plain,
and(a,xor(a,xor(t6,or(a,t6)))) = and(a,xor(a,xor(t6,or(a,t6)))),
introduced(tautology,[refl,[$fot(and(a,xor(a,xor(t6,or(a,t6)))))]]) ).
cnf(refute_0_22125,plain,
( and(a,xor(a,xor(t6,or(a,t6)))) != and(a,xor(a,xor(t6,or(a,t6))))
| xor(a,xor(t6,or(a,t6))) != and(carry,or(a,t5))
| and(a,xor(a,xor(t6,or(a,t6)))) = and(a,and(carry,or(a,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(and(a,xor(a,xor(t6,or(a,t6)))),and(a,xor(a,xor(t6,or(a,t6))))) ),[1,1],$fot(and(carry,or(a,t5)))]]) ).
cnf(refute_0_22126,plain,
( xor(a,xor(t6,or(a,t6))) != and(carry,or(a,t5))
| and(a,xor(a,xor(t6,or(a,t6)))) = and(a,and(carry,or(a,t5))) ),
inference(resolve,[$cnf( $equal(and(a,xor(a,xor(t6,or(a,t6)))),and(a,xor(a,xor(t6,or(a,t6))))) )],[refute_0_22124,refute_0_22125]) ).
cnf(refute_0_22127,plain,
and(a,xor(a,xor(t6,or(a,t6)))) = and(a,and(carry,or(a,t5))),
inference(resolve,[$cnf( $equal(xor(a,xor(t6,or(a,t6))),and(carry,or(a,t5))) )],[refute_0_22123,refute_0_22126]) ).
cnf(refute_0_22128,plain,
( and(a,and(carry,or(a,t5))) != and(a,carry)
| and(a,xor(a,xor(t6,or(a,t6)))) != and(a,and(carry,or(a,t5)))
| and(a,xor(a,xor(t6,or(a,t6)))) = and(a,carry) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(a,xor(a,xor(t6,or(a,t6)))))),bind(Y0,$fot(and(a,and(carry,or(a,t5))))),bind(Z0,$fot(and(a,carry)))]]) ).
cnf(refute_0_22129,plain,
( and(a,and(carry,or(a,t5))) != and(a,carry)
| and(a,xor(a,xor(t6,or(a,t6)))) = and(a,carry) ),
inference(resolve,[$cnf( $equal(and(a,xor(a,xor(t6,or(a,t6)))),and(a,and(carry,or(a,t5)))) )],[refute_0_22127,refute_0_22128]) ).
cnf(refute_0_22130,plain,
and(a,xor(a,xor(t6,or(a,t6)))) = and(a,carry),
inference(resolve,[$cnf( $equal(and(a,and(carry,or(a,t5))),and(a,carry)) )],[refute_0_22121,refute_0_22129]) ).
cnf(refute_0_22131,plain,
( and(a,xor(a,xor(t6,or(a,t6)))) != and(a,carry)
| and(a,xor(a,xor(t6,or(a,t6)))) != xor(a,xor(t6,or(a,t6)))
| and(a,carry) = xor(a,xor(t6,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(a,xor(a,xor(t6,or(a,t6)))),xor(a,xor(t6,or(a,t6)))) ),[0],$fot(and(a,carry))]]) ).
cnf(refute_0_22132,plain,
( and(a,xor(a,xor(t6,or(a,t6)))) != xor(a,xor(t6,or(a,t6)))
| and(a,carry) = xor(a,xor(t6,or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(a,xor(a,xor(t6,or(a,t6)))),and(a,carry)) )],[refute_0_22130,refute_0_22131]) ).
cnf(refute_0_22133,plain,
( and(a,carry) != xor(a,xor(t6,or(a,t6)))
| xor(a,xor(t6,or(a,t6))) != and(carry,or(a,t5))
| and(a,carry) = and(carry,or(a,t5)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(a,carry),and(carry,or(a,t5))) ),[0],$fot(xor(a,xor(t6,or(a,t6))))]]) ).
cnf(refute_0_22134,plain,
( and(a,carry) != xor(a,xor(t6,or(a,t6)))
| and(a,carry) = and(carry,or(a,t5)) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t6,or(a,t6))),and(carry,or(a,t5))) )],[refute_0_22123,refute_0_22133]) ).
cnf(refute_0_22135,plain,
( and(a,xor(a,xor(t6,or(a,t6)))) != xor(a,xor(t6,or(a,t6)))
| and(a,carry) = and(carry,or(a,t5)) ),
inference(resolve,[$cnf( $equal(and(a,carry),xor(a,xor(t6,or(a,t6)))) )],[refute_0_22132,refute_0_22134]) ).
cnf(refute_0_22136,plain,
and(a,carry) = and(carry,or(a,t5)),
inference(resolve,[$cnf( $equal(and(a,xor(a,xor(t6,or(a,t6)))),xor(a,xor(t6,or(a,t6)))) )],[refute_0_22099,refute_0_22135]) ).
cnf(refute_0_22137,plain,
( and(a,carry) != and(carry,or(a,t5))
| and(carry,or(a,t5)) = and(a,carry) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(a,carry))),bind(Y0,$fot(and(carry,or(a,t5))))]]) ).
cnf(refute_0_22138,plain,
and(carry,or(a,t5)) = and(a,carry),
inference(resolve,[$cnf( $equal(and(a,carry),and(carry,or(a,t5))) )],[refute_0_22136,refute_0_22137]) ).
cnf(refute_0_22139,plain,
( and(carry,or(a,t5)) != and(a,carry)
| and(carry,or(a,t5)) != xor(a,xor(t6,or(a,t6)))
| and(a,carry) = xor(a,xor(t6,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry,or(a,t5)),xor(a,xor(t6,or(a,t6)))) ),[0],$fot(and(a,carry))]]) ).
cnf(refute_0_22140,plain,
( and(carry,or(a,t5)) != xor(a,xor(t6,or(a,t6)))
| and(a,carry) = xor(a,xor(t6,or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(carry,or(a,t5)),and(a,carry)) )],[refute_0_22138,refute_0_22139]) ).
cnf(refute_0_22141,plain,
and(a,carry) = xor(a,xor(t6,or(a,t6))),
inference(resolve,[$cnf( $equal(and(carry,or(a,t5)),xor(a,xor(t6,or(a,t6)))) )],[refute_0_22087,refute_0_22140]) ).
cnf(refute_0_22142,plain,
( and(a,carry) != xor(a,xor(t6,or(a,t6)))
| xor(a,xor(t6,or(a,t6))) = and(a,carry) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(a,carry))),bind(Y0,$fot(xor(a,xor(t6,or(a,t6)))))]]) ).
cnf(refute_0_22143,plain,
xor(a,xor(t6,or(a,t6))) = and(a,carry),
inference(resolve,[$cnf( $equal(and(a,carry),xor(a,xor(t6,or(a,t6)))) )],[refute_0_22141,refute_0_22142]) ).
cnf(refute_0_22144,plain,
not(xor(a,xor(t6,or(a,t6)))) = not(xor(a,xor(t6,or(a,t6)))),
introduced(tautology,[refl,[$fot(not(xor(a,xor(t6,or(a,t6)))))]]) ).
cnf(refute_0_22145,plain,
( not(xor(a,xor(t6,or(a,t6)))) != not(xor(a,xor(t6,or(a,t6))))
| xor(a,xor(t6,or(a,t6))) != and(a,carry)
| not(xor(a,xor(t6,or(a,t6)))) = not(and(a,carry)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(a,xor(t6,or(a,t6)))),not(xor(a,xor(t6,or(a,t6))))) ),[1,0],$fot(and(a,carry))]]) ).
cnf(refute_0_22146,plain,
( xor(a,xor(t6,or(a,t6))) != and(a,carry)
| not(xor(a,xor(t6,or(a,t6)))) = not(and(a,carry)) ),
inference(resolve,[$cnf( $equal(not(xor(a,xor(t6,or(a,t6)))),not(xor(a,xor(t6,or(a,t6))))) )],[refute_0_22144,refute_0_22145]) ).
cnf(refute_0_22147,plain,
not(xor(a,xor(t6,or(a,t6)))) = not(and(a,carry)),
inference(resolve,[$cnf( $equal(xor(a,xor(t6,or(a,t6))),and(a,carry)) )],[refute_0_22143,refute_0_22146]) ).
cnf(refute_0_22148,plain,
and(a,not(xor(a,xor(t6,or(a,t6))))) = and(a,not(xor(a,xor(t6,or(a,t6))))),
introduced(tautology,[refl,[$fot(and(a,not(xor(a,xor(t6,or(a,t6))))))]]) ).
cnf(refute_0_22149,plain,
( and(a,not(xor(a,xor(t6,or(a,t6))))) != and(a,not(xor(a,xor(t6,or(a,t6)))))
| not(xor(a,xor(t6,or(a,t6)))) != not(and(a,carry))
| and(a,not(xor(a,xor(t6,or(a,t6))))) = and(a,not(and(a,carry))) ),
introduced(tautology,[equality,[$cnf( $equal(and(a,not(xor(a,xor(t6,or(a,t6))))),and(a,not(xor(a,xor(t6,or(a,t6)))))) ),[1,1],$fot(not(and(a,carry)))]]) ).
cnf(refute_0_22150,plain,
( not(xor(a,xor(t6,or(a,t6)))) != not(and(a,carry))
| and(a,not(xor(a,xor(t6,or(a,t6))))) = and(a,not(and(a,carry))) ),
inference(resolve,[$cnf( $equal(and(a,not(xor(a,xor(t6,or(a,t6))))),and(a,not(xor(a,xor(t6,or(a,t6)))))) )],[refute_0_22148,refute_0_22149]) ).
cnf(refute_0_22151,plain,
and(a,not(xor(a,xor(t6,or(a,t6))))) = and(a,not(and(a,carry))),
inference(resolve,[$cnf( $equal(not(xor(a,xor(t6,or(a,t6)))),not(and(a,carry))) )],[refute_0_22147,refute_0_22150]) ).
cnf(refute_0_22152,plain,
( and(a,not(and(a,carry))) != xor(a,and(a,carry))
| and(a,not(xor(a,xor(t6,or(a,t6))))) != and(a,not(and(a,carry)))
| and(a,not(xor(a,xor(t6,or(a,t6))))) = xor(a,and(a,carry)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(a,not(xor(a,xor(t6,or(a,t6))))))),bind(Y0,$fot(and(a,not(and(a,carry))))),bind(Z0,$fot(xor(a,and(a,carry))))]]) ).
cnf(refute_0_22153,plain,
( and(a,not(and(a,carry))) != xor(a,and(a,carry))
| and(a,not(xor(a,xor(t6,or(a,t6))))) = xor(a,and(a,carry)) ),
inference(resolve,[$cnf( $equal(and(a,not(xor(a,xor(t6,or(a,t6))))),and(a,not(and(a,carry)))) )],[refute_0_22151,refute_0_22152]) ).
cnf(refute_0_22154,plain,
and(a,not(xor(a,xor(t6,or(a,t6))))) = xor(a,and(a,carry)),
inference(resolve,[$cnf( $equal(and(a,not(and(a,carry))),xor(a,and(a,carry))) )],[refute_0_18121,refute_0_22153]) ).
cnf(refute_0_22155,plain,
( and(a,not(xor(a,xor(t6,or(a,t6))))) != xor(a,and(a,carry))
| and(a,not(xor(a,xor(t6,or(a,t6))))) != xor(t6,or(a,t6))
| xor(a,and(a,carry)) = xor(t6,or(a,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(a,not(xor(a,xor(t6,or(a,t6))))),xor(t6,or(a,t6))) ),[0],$fot(xor(a,and(a,carry)))]]) ).
cnf(refute_0_22156,plain,
( and(a,not(xor(a,xor(t6,or(a,t6))))) != xor(t6,or(a,t6))
| xor(a,and(a,carry)) = xor(t6,or(a,t6)) ),
inference(resolve,[$cnf( $equal(and(a,not(xor(a,xor(t6,or(a,t6))))),xor(a,and(a,carry))) )],[refute_0_22154,refute_0_22155]) ).
cnf(refute_0_22157,plain,
xor(a,and(a,carry)) = xor(t6,or(a,t6)),
inference(resolve,[$cnf( $equal(and(a,not(xor(a,xor(t6,or(a,t6))))),xor(t6,or(a,t6))) )],[refute_0_18120,refute_0_22156]) ).
cnf(refute_0_22158,plain,
( xor(a,and(a,carry)) != xor(t6,or(a,t6))
| xor(t6,or(a,t6)) = xor(a,and(a,carry)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(a,and(a,carry)))),bind(Y0,$fot(xor(t6,or(a,t6))))]]) ).
cnf(refute_0_22159,plain,
xor(t6,or(a,t6)) = xor(a,and(a,carry)),
inference(resolve,[$cnf( $equal(xor(a,and(a,carry)),xor(t6,or(a,t6))) )],[refute_0_22157,refute_0_22158]) ).
cnf(refute_0_22160,plain,
not(xor(t6,or(a,t6))) = not(xor(t6,or(a,t6))),
introduced(tautology,[refl,[$fot(not(xor(t6,or(a,t6))))]]) ).
cnf(refute_0_22161,plain,
( not(xor(t6,or(a,t6))) != not(xor(t6,or(a,t6)))
| xor(t6,or(a,t6)) != xor(a,and(a,carry))
| not(xor(t6,or(a,t6))) = not(xor(a,and(a,carry))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t6,or(a,t6))),not(xor(t6,or(a,t6)))) ),[1,0],$fot(xor(a,and(a,carry)))]]) ).
cnf(refute_0_22162,plain,
( xor(t6,or(a,t6)) != xor(a,and(a,carry))
| not(xor(t6,or(a,t6))) = not(xor(a,and(a,carry))) ),
inference(resolve,[$cnf( $equal(not(xor(t6,or(a,t6))),not(xor(t6,or(a,t6)))) )],[refute_0_22160,refute_0_22161]) ).
cnf(refute_0_22163,plain,
not(xor(t6,or(a,t6))) = not(xor(a,and(a,carry))),
inference(resolve,[$cnf( $equal(xor(t6,or(a,t6)),xor(a,and(a,carry))) )],[refute_0_22159,refute_0_22162]) ).
cnf(refute_0_22164,plain,
and(t4,not(xor(t6,or(a,t6)))) = and(t4,not(xor(t6,or(a,t6)))),
introduced(tautology,[refl,[$fot(and(t4,not(xor(t6,or(a,t6)))))]]) ).
cnf(refute_0_22165,plain,
( and(t4,not(xor(t6,or(a,t6)))) != and(t4,not(xor(t6,or(a,t6))))
| not(xor(t6,or(a,t6))) != not(xor(a,and(a,carry)))
| and(t4,not(xor(t6,or(a,t6)))) = and(t4,not(xor(a,and(a,carry)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,not(xor(t6,or(a,t6)))),and(t4,not(xor(t6,or(a,t6))))) ),[1,1],$fot(not(xor(a,and(a,carry))))]]) ).
cnf(refute_0_22166,plain,
( not(xor(t6,or(a,t6))) != not(xor(a,and(a,carry)))
| and(t4,not(xor(t6,or(a,t6)))) = and(t4,not(xor(a,and(a,carry)))) ),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t6,or(a,t6)))),and(t4,not(xor(t6,or(a,t6))))) )],[refute_0_22164,refute_0_22165]) ).
cnf(refute_0_22167,plain,
and(t4,not(xor(t6,or(a,t6)))) = and(t4,not(xor(a,and(a,carry)))),
inference(resolve,[$cnf( $equal(not(xor(t6,or(a,t6))),not(xor(a,and(a,carry)))) )],[refute_0_22163,refute_0_22166]) ).
cnf(refute_0_22168,plain,
( and(t4,not(xor(t6,or(a,t6)))) != and(t4,not(xor(a,and(a,carry))))
| and(t4,not(xor(t6,or(a,t6)))) != xor(t5,or(a,t6))
| and(t4,not(xor(a,and(a,carry)))) = xor(t5,or(a,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,not(xor(t6,or(a,t6)))),xor(t5,or(a,t6))) ),[0],$fot(and(t4,not(xor(a,and(a,carry)))))]]) ).
cnf(refute_0_22169,plain,
( and(t4,not(xor(t6,or(a,t6)))) != xor(t5,or(a,t6))
| and(t4,not(xor(a,and(a,carry)))) = xor(t5,or(a,t6)) ),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t6,or(a,t6)))),and(t4,not(xor(a,and(a,carry))))) )],[refute_0_22167,refute_0_22168]) ).
cnf(refute_0_22170,plain,
and(t4,not(xor(a,and(a,carry)))) = xor(t5,or(a,t6)),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t6,or(a,t6)))),xor(t5,or(a,t6))) )],[refute_0_17996,refute_0_22169]) ).
cnf(refute_0_22171,plain,
not(not(or(b,t6))) = or(b,t6),
inference(subst,[],[not_involution:[bind(X,$fot(or(b,t6)))]]) ).
cnf(refute_0_22172,plain,
and(not(carry),xor(t5,or(carry,t2))) = and(t1,and(xor(t5,or(carry,t2)),t5)),
inference(subst,[],[refute_0_185:[bind(X_237,$fot(xor(t5,or(carry,t2))))]]) ).
cnf(refute_0_22173,plain,
not(or(not(xor(t5,or(carry,t2))),carry)) = not(or(carry,not(xor(t5,or(carry,t2))))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(carry)),bind(X_26,$fot(not(xor(t5,or(carry,t2)))))]]) ).
cnf(refute_0_22174,plain,
or(carry,not(Y)) = or(carry,or(not(t1),not(Y))),
inference(subst,[],[refute_0_13788:[bind(X_39,$fot(not(Y)))]]) ).
cnf(refute_0_22175,plain,
( or(carry,not(Y)) != or(carry,or(not(t1),not(Y)))
| or(not(t1),not(Y)) != not(and(t1,Y))
| or(carry,not(Y)) = or(carry,not(and(t1,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(Y)),or(carry,or(not(t1),not(Y)))) ),[1,1],$fot(not(and(t1,Y)))]]) ).
cnf(refute_0_22176,plain,
( or(carry,not(Y)) != or(carry,or(not(t1),not(Y)))
| or(carry,not(Y)) = or(carry,not(and(t1,Y))) ),
inference(resolve,[$cnf( $equal(or(not(t1),not(Y)),not(and(t1,Y))) )],[refute_0_2969,refute_0_22175]) ).
cnf(refute_0_22177,plain,
or(carry,not(Y)) = or(carry,not(and(t1,Y))),
inference(resolve,[$cnf( $equal(or(carry,not(Y)),or(carry,or(not(t1),not(Y)))) )],[refute_0_22174,refute_0_22176]) ).
cnf(refute_0_22178,plain,
or(carry,not(not(xor(carry,or(carry,t2))))) = or(carry,not(and(t1,not(xor(carry,or(carry,t2)))))),
inference(subst,[],[refute_0_22177:[bind(Y,$fot(not(xor(carry,or(carry,t2)))))]]) ).
cnf(refute_0_22179,plain,
( and(t1,not(xor(carry,or(carry,t2)))) != xor(t5,or(carry,t2))
| or(carry,not(not(xor(carry,or(carry,t2))))) != or(carry,not(and(t1,not(xor(carry,or(carry,t2))))))
| or(carry,not(not(xor(carry,or(carry,t2))))) = or(carry,not(xor(t5,or(carry,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(not(xor(carry,or(carry,t2))))),or(carry,not(and(t1,not(xor(carry,or(carry,t2))))))) ),[1,1,0],$fot(xor(t5,or(carry,t2)))]]) ).
cnf(refute_0_22180,plain,
( or(carry,not(not(xor(carry,or(carry,t2))))) != or(carry,not(and(t1,not(xor(carry,or(carry,t2))))))
| or(carry,not(not(xor(carry,or(carry,t2))))) = or(carry,not(xor(t5,or(carry,t2)))) ),
inference(resolve,[$cnf( $equal(and(t1,not(xor(carry,or(carry,t2)))),xor(t5,or(carry,t2))) )],[refute_0_18669,refute_0_22179]) ).
cnf(refute_0_22181,plain,
or(carry,not(not(xor(carry,or(carry,t2))))) = or(carry,not(xor(t5,or(carry,t2)))),
inference(resolve,[$cnf( $equal(or(carry,not(not(xor(carry,or(carry,t2))))),or(carry,not(and(t1,not(xor(carry,or(carry,t2))))))) )],[refute_0_22178,refute_0_22180]) ).
cnf(refute_0_22182,plain,
or(and(carry,not(xor(carry,or(t2,and(carry,t1))))),and(not(carry),xor(carry,or(t2,and(carry,t1))))) = xor(carry,xor(carry,or(t2,and(carry,t1)))),
inference(subst,[],[refute_0_9:[bind(X,$fot(carry)),bind(Y,$fot(xor(carry,or(t2,and(carry,t1)))))]]) ).
cnf(refute_0_22183,plain,
not(or(xor(carry,or(t2,and(carry,t1))),not(carry))) = not(or(not(carry),xor(carry,or(t2,and(carry,t1))))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(not(carry))),bind(X_26,$fot(xor(carry,or(t2,and(carry,t1)))))]]) ).
cnf(refute_0_22184,plain,
or(not(carry),and(not(carry),or(t2,and(carry,t1)))) = not(carry),
inference(subst,[],[or_absorption:[bind(X,$fot(not(carry))),bind(Y,$fot(or(t2,and(carry,t1))))]]) ).
cnf(refute_0_22185,plain,
( and(not(carry),or(t2,and(carry,t1))) != xor(carry,or(t2,and(carry,t1)))
| or(not(carry),and(not(carry),or(t2,and(carry,t1)))) != not(carry)
| or(not(carry),xor(carry,or(t2,and(carry,t1)))) = not(carry) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(carry),and(not(carry),or(t2,and(carry,t1)))),not(carry)) ),[0,1],$fot(xor(carry,or(t2,and(carry,t1))))]]) ).
cnf(refute_0_22186,plain,
( or(not(carry),and(not(carry),or(t2,and(carry,t1)))) != not(carry)
| or(not(carry),xor(carry,or(t2,and(carry,t1)))) = not(carry) ),
inference(resolve,[$cnf( $equal(and(not(carry),or(t2,and(carry,t1))),xor(carry,or(t2,and(carry,t1)))) )],[refute_0_18593,refute_0_22185]) ).
cnf(refute_0_22187,plain,
or(not(carry),xor(carry,or(t2,and(carry,t1)))) = not(carry),
inference(resolve,[$cnf( $equal(or(not(carry),and(not(carry),or(t2,and(carry,t1)))),not(carry)) )],[refute_0_22184,refute_0_22186]) ).
cnf(refute_0_22188,plain,
( not(or(xor(carry,or(t2,and(carry,t1))),not(carry))) != not(or(not(carry),xor(carry,or(t2,and(carry,t1)))))
| or(not(carry),xor(carry,or(t2,and(carry,t1)))) != not(carry)
| not(or(xor(carry,or(t2,and(carry,t1))),not(carry))) = not(not(carry)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(carry,or(t2,and(carry,t1))),not(carry))),not(or(not(carry),xor(carry,or(t2,and(carry,t1)))))) ),[1,0],$fot(not(carry))]]) ).
cnf(refute_0_22189,plain,
( not(or(xor(carry,or(t2,and(carry,t1))),not(carry))) != not(or(not(carry),xor(carry,or(t2,and(carry,t1)))))
| not(or(xor(carry,or(t2,and(carry,t1))),not(carry))) = not(not(carry)) ),
inference(resolve,[$cnf( $equal(or(not(carry),xor(carry,or(t2,and(carry,t1)))),not(carry)) )],[refute_0_22187,refute_0_22188]) ).
cnf(refute_0_22190,plain,
not(or(xor(carry,or(t2,and(carry,t1))),not(carry))) = not(not(carry)),
inference(resolve,[$cnf( $equal(not(or(xor(carry,or(t2,and(carry,t1))),not(carry))),not(or(not(carry),xor(carry,or(t2,and(carry,t1)))))) )],[refute_0_22183,refute_0_22189]) ).
cnf(refute_0_22191,plain,
and(not(xor(carry,or(t2,and(carry,t1)))),carry) = and(carry,not(xor(carry,or(t2,and(carry,t1))))),
inference(subst,[],[refute_0_116:[bind(X,$fot(carry)),bind(Y,$fot(not(xor(carry,or(t2,and(carry,t1))))))]]) ).
cnf(refute_0_22192,plain,
not(or(xor(carry,or(t2,and(carry,t1))),not(carry))) = and(not(xor(carry,or(t2,and(carry,t1)))),carry),
inference(subst,[],[refute_0_801:[bind(X,$fot(carry)),bind(X_25,$fot(xor(carry,or(t2,and(carry,t1)))))]]) ).
cnf(refute_0_22193,plain,
( and(not(xor(carry,or(t2,and(carry,t1)))),carry) != and(carry,not(xor(carry,or(t2,and(carry,t1)))))
| not(or(xor(carry,or(t2,and(carry,t1))),not(carry))) != and(not(xor(carry,or(t2,and(carry,t1)))),carry)
| not(or(xor(carry,or(t2,and(carry,t1))),not(carry))) = and(carry,not(xor(carry,or(t2,and(carry,t1))))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(xor(carry,or(t2,and(carry,t1))),not(carry))))),bind(Y0,$fot(and(not(xor(carry,or(t2,and(carry,t1)))),carry))),bind(Z0,$fot(and(carry,not(xor(carry,or(t2,and(carry,t1)))))))]]) ).
cnf(refute_0_22194,plain,
( and(not(xor(carry,or(t2,and(carry,t1)))),carry) != and(carry,not(xor(carry,or(t2,and(carry,t1)))))
| not(or(xor(carry,or(t2,and(carry,t1))),not(carry))) = and(carry,not(xor(carry,or(t2,and(carry,t1))))) ),
inference(resolve,[$cnf( $equal(not(or(xor(carry,or(t2,and(carry,t1))),not(carry))),and(not(xor(carry,or(t2,and(carry,t1)))),carry)) )],[refute_0_22192,refute_0_22193]) ).
cnf(refute_0_22195,plain,
not(or(xor(carry,or(t2,and(carry,t1))),not(carry))) = and(carry,not(xor(carry,or(t2,and(carry,t1))))),
inference(resolve,[$cnf( $equal(and(not(xor(carry,or(t2,and(carry,t1)))),carry),and(carry,not(xor(carry,or(t2,and(carry,t1)))))) )],[refute_0_22191,refute_0_22194]) ).
cnf(refute_0_22196,plain,
( not(or(xor(carry,or(t2,and(carry,t1))),not(carry))) != and(carry,not(xor(carry,or(t2,and(carry,t1)))))
| not(or(xor(carry,or(t2,and(carry,t1))),not(carry))) != not(not(carry))
| and(carry,not(xor(carry,or(t2,and(carry,t1))))) = not(not(carry)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(carry,or(t2,and(carry,t1))),not(carry))),not(not(carry))) ),[0],$fot(and(carry,not(xor(carry,or(t2,and(carry,t1))))))]]) ).
cnf(refute_0_22197,plain,
( not(or(xor(carry,or(t2,and(carry,t1))),not(carry))) != not(not(carry))
| and(carry,not(xor(carry,or(t2,and(carry,t1))))) = not(not(carry)) ),
inference(resolve,[$cnf( $equal(not(or(xor(carry,or(t2,and(carry,t1))),not(carry))),and(carry,not(xor(carry,or(t2,and(carry,t1)))))) )],[refute_0_22195,refute_0_22196]) ).
cnf(refute_0_22198,plain,
( and(carry,not(xor(carry,or(t2,and(carry,t1))))) != not(not(carry))
| not(not(carry)) != carry
| and(carry,not(xor(carry,or(t2,and(carry,t1))))) = carry ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(carry,not(xor(carry,or(t2,and(carry,t1))))),carry) ),[0],$fot(not(not(carry)))]]) ).
cnf(refute_0_22199,plain,
( and(carry,not(xor(carry,or(t2,and(carry,t1))))) != not(not(carry))
| and(carry,not(xor(carry,or(t2,and(carry,t1))))) = carry ),
inference(resolve,[$cnf( $equal(not(not(carry)),carry) )],[refute_0_1308,refute_0_22198]) ).
cnf(refute_0_22200,plain,
( not(or(xor(carry,or(t2,and(carry,t1))),not(carry))) != not(not(carry))
| and(carry,not(xor(carry,or(t2,and(carry,t1))))) = carry ),
inference(resolve,[$cnf( $equal(and(carry,not(xor(carry,or(t2,and(carry,t1))))),not(not(carry))) )],[refute_0_22197,refute_0_22199]) ).
cnf(refute_0_22201,plain,
and(carry,not(xor(carry,or(t2,and(carry,t1))))) = carry,
inference(resolve,[$cnf( $equal(not(or(xor(carry,or(t2,and(carry,t1))),not(carry))),not(not(carry))) )],[refute_0_22190,refute_0_22200]) ).
cnf(refute_0_22202,plain,
( and(carry,not(xor(carry,or(t2,and(carry,t1))))) != carry
| or(and(carry,not(xor(carry,or(t2,and(carry,t1))))),and(not(carry),xor(carry,or(t2,and(carry,t1))))) != xor(carry,xor(carry,or(t2,and(carry,t1))))
| or(carry,and(not(carry),xor(carry,or(t2,and(carry,t1))))) = xor(carry,xor(carry,or(t2,and(carry,t1)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(carry,not(xor(carry,or(t2,and(carry,t1))))),and(not(carry),xor(carry,or(t2,and(carry,t1))))),xor(carry,xor(carry,or(t2,and(carry,t1))))) ),[0,0],$fot(carry)]]) ).
cnf(refute_0_22203,plain,
( or(and(carry,not(xor(carry,or(t2,and(carry,t1))))),and(not(carry),xor(carry,or(t2,and(carry,t1))))) != xor(carry,xor(carry,or(t2,and(carry,t1))))
| or(carry,and(not(carry),xor(carry,or(t2,and(carry,t1))))) = xor(carry,xor(carry,or(t2,and(carry,t1)))) ),
inference(resolve,[$cnf( $equal(and(carry,not(xor(carry,or(t2,and(carry,t1))))),carry) )],[refute_0_22201,refute_0_22202]) ).
cnf(refute_0_22204,plain,
or(carry,and(not(carry),xor(carry,or(t2,and(carry,t1))))) = xor(carry,xor(carry,or(t2,and(carry,t1)))),
inference(resolve,[$cnf( $equal(or(and(carry,not(xor(carry,or(t2,and(carry,t1))))),and(not(carry),xor(carry,or(t2,and(carry,t1))))),xor(carry,xor(carry,or(t2,and(carry,t1))))) )],[refute_0_22182,refute_0_22203]) ).
cnf(refute_0_22205,plain,
and(xor(carry,or(t2,and(carry,t1))),or(not(carry),xor(carry,or(t2,and(carry,t1))))) = xor(carry,or(t2,and(carry,t1))),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(xor(carry,or(t2,and(carry,t1))))),bind(X_20,$fot(not(carry)))]]) ).
cnf(refute_0_22206,plain,
( and(xor(carry,or(t2,and(carry,t1))),or(not(carry),xor(carry,or(t2,and(carry,t1))))) != xor(carry,or(t2,and(carry,t1)))
| or(not(carry),xor(carry,or(t2,and(carry,t1)))) != not(carry)
| and(xor(carry,or(t2,and(carry,t1))),not(carry)) = xor(carry,or(t2,and(carry,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(carry,or(t2,and(carry,t1))),or(not(carry),xor(carry,or(t2,and(carry,t1))))),xor(carry,or(t2,and(carry,t1)))) ),[0,1],$fot(not(carry))]]) ).
cnf(refute_0_22207,plain,
( and(xor(carry,or(t2,and(carry,t1))),or(not(carry),xor(carry,or(t2,and(carry,t1))))) != xor(carry,or(t2,and(carry,t1)))
| and(xor(carry,or(t2,and(carry,t1))),not(carry)) = xor(carry,or(t2,and(carry,t1))) ),
inference(resolve,[$cnf( $equal(or(not(carry),xor(carry,or(t2,and(carry,t1)))),not(carry)) )],[refute_0_22187,refute_0_22206]) ).
cnf(refute_0_22208,plain,
and(xor(carry,or(t2,and(carry,t1))),not(carry)) = xor(carry,or(t2,and(carry,t1))),
inference(resolve,[$cnf( $equal(and(xor(carry,or(t2,and(carry,t1))),or(not(carry),xor(carry,or(t2,and(carry,t1))))),xor(carry,or(t2,and(carry,t1)))) )],[refute_0_22205,refute_0_22207]) ).
cnf(refute_0_22209,plain,
and(xor(carry,or(t2,and(carry,t1))),not(carry)) = and(not(carry),xor(carry,or(t2,and(carry,t1)))),
inference(subst,[],[refute_0_116:[bind(X,$fot(not(carry))),bind(Y,$fot(xor(carry,or(t2,and(carry,t1)))))]]) ).
cnf(refute_0_22210,plain,
( and(xor(carry,or(t2,and(carry,t1))),not(carry)) != and(not(carry),xor(carry,or(t2,and(carry,t1))))
| and(xor(carry,or(t2,and(carry,t1))),not(carry)) != xor(carry,or(t2,and(carry,t1)))
| and(not(carry),xor(carry,or(t2,and(carry,t1)))) = xor(carry,or(t2,and(carry,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(carry,or(t2,and(carry,t1))),not(carry)),xor(carry,or(t2,and(carry,t1)))) ),[0],$fot(and(not(carry),xor(carry,or(t2,and(carry,t1)))))]]) ).
cnf(refute_0_22211,plain,
( and(xor(carry,or(t2,and(carry,t1))),not(carry)) != xor(carry,or(t2,and(carry,t1)))
| and(not(carry),xor(carry,or(t2,and(carry,t1)))) = xor(carry,or(t2,and(carry,t1))) ),
inference(resolve,[$cnf( $equal(and(xor(carry,or(t2,and(carry,t1))),not(carry)),and(not(carry),xor(carry,or(t2,and(carry,t1))))) )],[refute_0_22209,refute_0_22210]) ).
cnf(refute_0_22212,plain,
and(not(carry),xor(carry,or(t2,and(carry,t1)))) = xor(carry,or(t2,and(carry,t1))),
inference(resolve,[$cnf( $equal(and(xor(carry,or(t2,and(carry,t1))),not(carry)),xor(carry,or(t2,and(carry,t1)))) )],[refute_0_22208,refute_0_22211]) ).
cnf(refute_0_22213,plain,
or(carry,and(not(carry),xor(carry,or(t2,and(carry,t1))))) = or(carry,and(not(carry),xor(carry,or(t2,and(carry,t1))))),
introduced(tautology,[refl,[$fot(or(carry,and(not(carry),xor(carry,or(t2,and(carry,t1))))))]]) ).
cnf(refute_0_22214,plain,
( and(not(carry),xor(carry,or(t2,and(carry,t1)))) != xor(carry,or(t2,and(carry,t1)))
| or(carry,and(not(carry),xor(carry,or(t2,and(carry,t1))))) != or(carry,and(not(carry),xor(carry,or(t2,and(carry,t1)))))
| or(carry,and(not(carry),xor(carry,or(t2,and(carry,t1))))) = or(carry,xor(carry,or(t2,and(carry,t1)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,and(not(carry),xor(carry,or(t2,and(carry,t1))))),or(carry,and(not(carry),xor(carry,or(t2,and(carry,t1)))))) ),[1,1],$fot(xor(carry,or(t2,and(carry,t1))))]]) ).
cnf(refute_0_22215,plain,
( and(not(carry),xor(carry,or(t2,and(carry,t1)))) != xor(carry,or(t2,and(carry,t1)))
| or(carry,and(not(carry),xor(carry,or(t2,and(carry,t1))))) = or(carry,xor(carry,or(t2,and(carry,t1)))) ),
inference(resolve,[$cnf( $equal(or(carry,and(not(carry),xor(carry,or(t2,and(carry,t1))))),or(carry,and(not(carry),xor(carry,or(t2,and(carry,t1)))))) )],[refute_0_22213,refute_0_22214]) ).
cnf(refute_0_22216,plain,
or(carry,and(not(carry),xor(carry,or(t2,and(carry,t1))))) = or(carry,xor(carry,or(t2,and(carry,t1)))),
inference(resolve,[$cnf( $equal(and(not(carry),xor(carry,or(t2,and(carry,t1)))),xor(carry,or(t2,and(carry,t1)))) )],[refute_0_22212,refute_0_22215]) ).
cnf(refute_0_22217,plain,
( or(carry,and(not(carry),xor(carry,or(t2,and(carry,t1))))) != or(carry,xor(carry,or(t2,and(carry,t1))))
| or(carry,and(not(carry),xor(carry,or(t2,and(carry,t1))))) != xor(carry,xor(carry,or(t2,and(carry,t1))))
| or(carry,xor(carry,or(t2,and(carry,t1)))) = xor(carry,xor(carry,or(t2,and(carry,t1)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,and(not(carry),xor(carry,or(t2,and(carry,t1))))),xor(carry,xor(carry,or(t2,and(carry,t1))))) ),[0],$fot(or(carry,xor(carry,or(t2,and(carry,t1)))))]]) ).
cnf(refute_0_22218,plain,
( or(carry,and(not(carry),xor(carry,or(t2,and(carry,t1))))) != xor(carry,xor(carry,or(t2,and(carry,t1))))
| or(carry,xor(carry,or(t2,and(carry,t1)))) = xor(carry,xor(carry,or(t2,and(carry,t1)))) ),
inference(resolve,[$cnf( $equal(or(carry,and(not(carry),xor(carry,or(t2,and(carry,t1))))),or(carry,xor(carry,or(t2,and(carry,t1))))) )],[refute_0_22216,refute_0_22217]) ).
cnf(refute_0_22219,plain,
or(carry,xor(carry,or(t2,and(carry,t1)))) = xor(carry,xor(carry,or(t2,and(carry,t1)))),
inference(resolve,[$cnf( $equal(or(carry,and(not(carry),xor(carry,or(t2,and(carry,t1))))),xor(carry,xor(carry,or(t2,and(carry,t1))))) )],[refute_0_22204,refute_0_22218]) ).
cnf(refute_0_22220,plain,
xor(carry,xor(carry,or(t2,and(carry,t1)))) = or(t2,and(carry,t1)),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(carry)),bind(X_335,$fot(or(t2,and(carry,t1))))]]) ).
cnf(refute_0_22221,plain,
( or(carry,xor(carry,or(t2,and(carry,t1)))) != xor(carry,xor(carry,or(t2,and(carry,t1))))
| xor(carry,xor(carry,or(t2,and(carry,t1)))) != or(t2,and(carry,t1))
| or(carry,xor(carry,or(t2,and(carry,t1)))) = or(t2,and(carry,t1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(carry,xor(carry,or(t2,and(carry,t1)))),or(t2,and(carry,t1))) ),[0],$fot(xor(carry,xor(carry,or(t2,and(carry,t1)))))]]) ).
cnf(refute_0_22222,plain,
( or(carry,xor(carry,or(t2,and(carry,t1)))) != xor(carry,xor(carry,or(t2,and(carry,t1))))
| or(carry,xor(carry,or(t2,and(carry,t1)))) = or(t2,and(carry,t1)) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(carry,or(t2,and(carry,t1)))),or(t2,and(carry,t1))) )],[refute_0_22220,refute_0_22221]) ).
cnf(refute_0_22223,plain,
or(carry,xor(carry,or(t2,and(carry,t1)))) = or(t2,and(carry,t1)),
inference(resolve,[$cnf( $equal(or(carry,xor(carry,or(t2,and(carry,t1)))),xor(carry,xor(carry,or(t2,and(carry,t1))))) )],[refute_0_22219,refute_0_22222]) ).
cnf(refute_0_22224,plain,
or(carry,xor(carry,or(t2,and(carry,t1)))) = or(carry,xor(carry,or(t2,and(carry,t1)))),
introduced(tautology,[refl,[$fot(or(carry,xor(carry,or(t2,and(carry,t1)))))]]) ).
cnf(refute_0_22225,plain,
( or(carry,xor(carry,or(t2,and(carry,t1)))) != or(carry,xor(carry,or(t2,and(carry,t1))))
| xor(carry,or(t2,and(carry,t1))) != xor(carry,or(carry,t2))
| or(carry,xor(carry,or(t2,and(carry,t1)))) = or(carry,xor(carry,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,xor(carry,or(t2,and(carry,t1)))),or(carry,xor(carry,or(t2,and(carry,t1))))) ),[1,1],$fot(xor(carry,or(carry,t2)))]]) ).
cnf(refute_0_22226,plain,
( xor(carry,or(t2,and(carry,t1))) != xor(carry,or(carry,t2))
| or(carry,xor(carry,or(t2,and(carry,t1)))) = or(carry,xor(carry,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(or(carry,xor(carry,or(t2,and(carry,t1)))),or(carry,xor(carry,or(t2,and(carry,t1))))) )],[refute_0_22224,refute_0_22225]) ).
cnf(refute_0_22227,plain,
or(carry,xor(carry,or(t2,and(carry,t1)))) = or(carry,xor(carry,or(carry,t2))),
inference(resolve,[$cnf( $equal(xor(carry,or(t2,and(carry,t1))),xor(carry,or(carry,t2))) )],[refute_0_18622,refute_0_22226]) ).
cnf(refute_0_22228,plain,
( or(carry,xor(carry,or(t2,and(carry,t1)))) != or(carry,xor(carry,or(carry,t2)))
| or(carry,xor(carry,or(t2,and(carry,t1)))) != or(t2,and(carry,t1))
| or(carry,xor(carry,or(carry,t2))) = or(t2,and(carry,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,xor(carry,or(t2,and(carry,t1)))),or(t2,and(carry,t1))) ),[0],$fot(or(carry,xor(carry,or(carry,t2))))]]) ).
cnf(refute_0_22229,plain,
( or(carry,xor(carry,or(t2,and(carry,t1)))) != or(t2,and(carry,t1))
| or(carry,xor(carry,or(carry,t2))) = or(t2,and(carry,t1)) ),
inference(resolve,[$cnf( $equal(or(carry,xor(carry,or(t2,and(carry,t1)))),or(carry,xor(carry,or(carry,t2)))) )],[refute_0_22227,refute_0_22228]) ).
cnf(refute_0_22230,plain,
( or(carry,xor(carry,or(carry,t2))) != or(t2,and(carry,t1))
| or(t2,and(carry,t1)) != or(carry,t2)
| or(carry,xor(carry,or(carry,t2))) = or(carry,t2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(carry,xor(carry,or(carry,t2))),or(carry,t2)) ),[0],$fot(or(t2,and(carry,t1)))]]) ).
cnf(refute_0_22231,plain,
( or(carry,xor(carry,or(carry,t2))) != or(t2,and(carry,t1))
| or(carry,xor(carry,or(carry,t2))) = or(carry,t2) ),
inference(resolve,[$cnf( $equal(or(t2,and(carry,t1)),or(carry,t2)) )],[refute_0_18618,refute_0_22230]) ).
cnf(refute_0_22232,plain,
( or(carry,xor(carry,or(t2,and(carry,t1)))) != or(t2,and(carry,t1))
| or(carry,xor(carry,or(carry,t2))) = or(carry,t2) ),
inference(resolve,[$cnf( $equal(or(carry,xor(carry,or(carry,t2))),or(t2,and(carry,t1))) )],[refute_0_22229,refute_0_22231]) ).
cnf(refute_0_22233,plain,
or(carry,xor(carry,or(carry,t2))) = or(carry,t2),
inference(resolve,[$cnf( $equal(or(carry,xor(carry,or(t2,and(carry,t1)))),or(t2,and(carry,t1))) )],[refute_0_22223,refute_0_22232]) ).
cnf(refute_0_22234,plain,
or(carry,not(not(xor(carry,or(carry,t2))))) = or(carry,not(not(xor(carry,or(carry,t2))))),
introduced(tautology,[refl,[$fot(or(carry,not(not(xor(carry,or(carry,t2))))))]]) ).
cnf(refute_0_22235,plain,
( not(not(xor(carry,or(carry,t2)))) != xor(carry,or(carry,t2))
| or(carry,not(not(xor(carry,or(carry,t2))))) != or(carry,not(not(xor(carry,or(carry,t2)))))
| or(carry,not(not(xor(carry,or(carry,t2))))) = or(carry,xor(carry,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(not(xor(carry,or(carry,t2))))),or(carry,not(not(xor(carry,or(carry,t2)))))) ),[1,1],$fot(xor(carry,or(carry,t2)))]]) ).
cnf(refute_0_22236,plain,
( not(not(xor(carry,or(carry,t2)))) != xor(carry,or(carry,t2))
| or(carry,not(not(xor(carry,or(carry,t2))))) = or(carry,xor(carry,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(or(carry,not(not(xor(carry,or(carry,t2))))),or(carry,not(not(xor(carry,or(carry,t2)))))) )],[refute_0_22234,refute_0_22235]) ).
cnf(refute_0_22237,plain,
or(carry,not(not(xor(carry,or(carry,t2))))) = or(carry,xor(carry,or(carry,t2))),
inference(resolve,[$cnf( $equal(not(not(xor(carry,or(carry,t2)))),xor(carry,or(carry,t2))) )],[refute_0_18673,refute_0_22236]) ).
cnf(refute_0_22238,plain,
( or(carry,not(not(xor(carry,or(carry,t2))))) != or(carry,xor(carry,or(carry,t2)))
| or(carry,xor(carry,or(carry,t2))) != or(carry,t2)
| or(carry,not(not(xor(carry,or(carry,t2))))) = or(carry,t2) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(carry,not(not(xor(carry,or(carry,t2))))))),bind(Y0,$fot(or(carry,xor(carry,or(carry,t2))))),bind(Z0,$fot(or(carry,t2)))]]) ).
cnf(refute_0_22239,plain,
( or(carry,xor(carry,or(carry,t2))) != or(carry,t2)
| or(carry,not(not(xor(carry,or(carry,t2))))) = or(carry,t2) ),
inference(resolve,[$cnf( $equal(or(carry,not(not(xor(carry,or(carry,t2))))),or(carry,xor(carry,or(carry,t2)))) )],[refute_0_22237,refute_0_22238]) ).
cnf(refute_0_22240,plain,
or(carry,not(not(xor(carry,or(carry,t2))))) = or(carry,t2),
inference(resolve,[$cnf( $equal(or(carry,xor(carry,or(carry,t2))),or(carry,t2)) )],[refute_0_22233,refute_0_22239]) ).
cnf(refute_0_22241,plain,
( or(carry,not(not(xor(carry,or(carry,t2))))) != or(carry,not(xor(t5,or(carry,t2))))
| or(carry,not(not(xor(carry,or(carry,t2))))) != or(carry,t2)
| or(carry,t2) = or(carry,not(xor(t5,or(carry,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,not(not(xor(carry,or(carry,t2))))),or(carry,not(xor(t5,or(carry,t2))))) ),[0],$fot(or(carry,t2))]]) ).
cnf(refute_0_22242,plain,
( or(carry,not(not(xor(carry,or(carry,t2))))) != or(carry,not(xor(t5,or(carry,t2))))
| or(carry,t2) = or(carry,not(xor(t5,or(carry,t2)))) ),
inference(resolve,[$cnf( $equal(or(carry,not(not(xor(carry,or(carry,t2))))),or(carry,t2)) )],[refute_0_22240,refute_0_22241]) ).
cnf(refute_0_22243,plain,
or(carry,t2) = or(carry,not(xor(t5,or(carry,t2)))),
inference(resolve,[$cnf( $equal(or(carry,not(not(xor(carry,or(carry,t2))))),or(carry,not(xor(t5,or(carry,t2))))) )],[refute_0_22181,refute_0_22242]) ).
cnf(refute_0_22244,plain,
( or(carry,t2) != or(carry,not(xor(t5,or(carry,t2))))
| or(carry,not(xor(t5,or(carry,t2)))) = or(carry,t2) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(carry,t2))),bind(Y0,$fot(or(carry,not(xor(t5,or(carry,t2))))))]]) ).
cnf(refute_0_22245,plain,
or(carry,not(xor(t5,or(carry,t2)))) = or(carry,t2),
inference(resolve,[$cnf( $equal(or(carry,t2),or(carry,not(xor(t5,or(carry,t2))))) )],[refute_0_22243,refute_0_22244]) ).
cnf(refute_0_22246,plain,
( not(or(not(xor(t5,or(carry,t2))),carry)) != not(or(carry,not(xor(t5,or(carry,t2)))))
| or(carry,not(xor(t5,or(carry,t2)))) != or(carry,t2)
| not(or(not(xor(t5,or(carry,t2))),carry)) = not(or(carry,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(xor(t5,or(carry,t2))),carry)),not(or(carry,not(xor(t5,or(carry,t2)))))) ),[1,0],$fot(or(carry,t2))]]) ).
cnf(refute_0_22247,plain,
( not(or(not(xor(t5,or(carry,t2))),carry)) != not(or(carry,not(xor(t5,or(carry,t2)))))
| not(or(not(xor(t5,or(carry,t2))),carry)) = not(or(carry,t2)) ),
inference(resolve,[$cnf( $equal(or(carry,not(xor(t5,or(carry,t2)))),or(carry,t2)) )],[refute_0_22245,refute_0_22246]) ).
cnf(refute_0_22248,plain,
not(or(not(xor(t5,or(carry,t2))),carry)) = not(or(carry,t2)),
inference(resolve,[$cnf( $equal(not(or(not(xor(t5,or(carry,t2))),carry)),not(or(carry,not(xor(t5,or(carry,t2)))))) )],[refute_0_22173,refute_0_22247]) ).
cnf(refute_0_22249,plain,
and(xor(t5,or(carry,t2)),not(carry)) = and(not(carry),xor(t5,or(carry,t2))),
inference(subst,[],[refute_0_116:[bind(X,$fot(not(carry))),bind(Y,$fot(xor(t5,or(carry,t2))))]]) ).
cnf(refute_0_22250,plain,
not(or(not(xor(t5,or(carry,t2))),carry)) = and(xor(t5,or(carry,t2)),not(carry)),
inference(subst,[],[refute_0_159:[bind(X,$fot(xor(t5,or(carry,t2)))),bind(X_26,$fot(carry))]]) ).
cnf(refute_0_22251,plain,
( and(xor(t5,or(carry,t2)),not(carry)) != and(not(carry),xor(t5,or(carry,t2)))
| not(or(not(xor(t5,or(carry,t2))),carry)) != and(xor(t5,or(carry,t2)),not(carry))
| not(or(not(xor(t5,or(carry,t2))),carry)) = and(not(carry),xor(t5,or(carry,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(not(xor(t5,or(carry,t2))),carry)))),bind(Y0,$fot(and(xor(t5,or(carry,t2)),not(carry)))),bind(Z0,$fot(and(not(carry),xor(t5,or(carry,t2)))))]]) ).
cnf(refute_0_22252,plain,
( and(xor(t5,or(carry,t2)),not(carry)) != and(not(carry),xor(t5,or(carry,t2)))
| not(or(not(xor(t5,or(carry,t2))),carry)) = and(not(carry),xor(t5,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(not(or(not(xor(t5,or(carry,t2))),carry)),and(xor(t5,or(carry,t2)),not(carry))) )],[refute_0_22250,refute_0_22251]) ).
cnf(refute_0_22253,plain,
not(or(not(xor(t5,or(carry,t2))),carry)) = and(not(carry),xor(t5,or(carry,t2))),
inference(resolve,[$cnf( $equal(and(xor(t5,or(carry,t2)),not(carry)),and(not(carry),xor(t5,or(carry,t2)))) )],[refute_0_22249,refute_0_22252]) ).
cnf(refute_0_22254,plain,
( not(or(not(xor(t5,or(carry,t2))),carry)) != and(not(carry),xor(t5,or(carry,t2)))
| not(or(not(xor(t5,or(carry,t2))),carry)) != not(or(carry,t2))
| and(not(carry),xor(t5,or(carry,t2))) = not(or(carry,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(xor(t5,or(carry,t2))),carry)),not(or(carry,t2))) ),[0],$fot(and(not(carry),xor(t5,or(carry,t2))))]]) ).
cnf(refute_0_22255,plain,
( not(or(not(xor(t5,or(carry,t2))),carry)) != not(or(carry,t2))
| and(not(carry),xor(t5,or(carry,t2))) = not(or(carry,t2)) ),
inference(resolve,[$cnf( $equal(not(or(not(xor(t5,or(carry,t2))),carry)),and(not(carry),xor(t5,or(carry,t2)))) )],[refute_0_22253,refute_0_22254]) ).
cnf(refute_0_22256,plain,
and(not(carry),xor(t5,or(carry,t2))) = not(or(carry,t2)),
inference(resolve,[$cnf( $equal(not(or(not(xor(t5,or(carry,t2))),carry)),not(or(carry,t2))) )],[refute_0_22248,refute_0_22255]) ).
cnf(refute_0_22257,plain,
( and(not(carry),xor(t5,or(carry,t2))) != and(t1,and(xor(t5,or(carry,t2)),t5))
| and(not(carry),xor(t5,or(carry,t2))) != not(or(carry,t2))
| not(or(carry,t2)) = and(t1,and(xor(t5,or(carry,t2)),t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),xor(t5,or(carry,t2))),and(t1,and(xor(t5,or(carry,t2)),t5))) ),[0],$fot(not(or(carry,t2)))]]) ).
cnf(refute_0_22258,plain,
( and(not(carry),xor(t5,or(carry,t2))) != and(t1,and(xor(t5,or(carry,t2)),t5))
| not(or(carry,t2)) = and(t1,and(xor(t5,or(carry,t2)),t5)) ),
inference(resolve,[$cnf( $equal(and(not(carry),xor(t5,or(carry,t2))),not(or(carry,t2))) )],[refute_0_22256,refute_0_22257]) ).
cnf(refute_0_22259,plain,
not(or(carry,t2)) = and(t1,and(xor(t5,or(carry,t2)),t5)),
inference(resolve,[$cnf( $equal(and(not(carry),xor(t5,or(carry,t2))),and(t1,and(xor(t5,or(carry,t2)),t5))) )],[refute_0_22172,refute_0_22258]) ).
cnf(refute_0_22260,plain,
and(xor(t5,or(carry,t2)),t5) = and(t5,xor(t5,or(carry,t2))),
inference(subst,[],[refute_0_116:[bind(X,$fot(t5)),bind(Y,$fot(xor(t5,or(carry,t2))))]]) ).
cnf(refute_0_22261,plain,
and(and(t1,xor(t5,or(carry,t2))),Z) = and(t1,and(xor(t5,or(carry,t2)),Z)),
inference(subst,[],[and_associative:[bind(X,$fot(t1)),bind(Y,$fot(xor(t5,or(carry,t2))))]]) ).
cnf(refute_0_22262,plain,
and(xor(t5,or(carry,t2)),or(t1,xor(t5,or(carry,t2)))) = xor(t5,or(carry,t2)),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(xor(t5,or(carry,t2)))),bind(X_20,$fot(t1))]]) ).
cnf(refute_0_22263,plain,
or(t1,and(t1,not(xor(carry,or(carry,t2))))) = t1,
inference(subst,[],[or_absorption:[bind(X,$fot(t1)),bind(Y,$fot(not(xor(carry,or(carry,t2)))))]]) ).
cnf(refute_0_22264,plain,
( and(t1,not(xor(carry,or(carry,t2)))) != xor(t5,or(carry,t2))
| or(t1,and(t1,not(xor(carry,or(carry,t2))))) != t1
| or(t1,xor(t5,or(carry,t2))) = t1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,and(t1,not(xor(carry,or(carry,t2))))),t1) ),[0,1],$fot(xor(t5,or(carry,t2)))]]) ).
cnf(refute_0_22265,plain,
( or(t1,and(t1,not(xor(carry,or(carry,t2))))) != t1
| or(t1,xor(t5,or(carry,t2))) = t1 ),
inference(resolve,[$cnf( $equal(and(t1,not(xor(carry,or(carry,t2)))),xor(t5,or(carry,t2))) )],[refute_0_18669,refute_0_22264]) ).
cnf(refute_0_22266,plain,
or(t1,xor(t5,or(carry,t2))) = t1,
inference(resolve,[$cnf( $equal(or(t1,and(t1,not(xor(carry,or(carry,t2))))),t1) )],[refute_0_22263,refute_0_22265]) ).
cnf(refute_0_22267,plain,
( and(xor(t5,or(carry,t2)),or(t1,xor(t5,or(carry,t2)))) != xor(t5,or(carry,t2))
| or(t1,xor(t5,or(carry,t2))) != t1
| and(xor(t5,or(carry,t2)),t1) = xor(t5,or(carry,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t5,or(carry,t2)),or(t1,xor(t5,or(carry,t2)))),xor(t5,or(carry,t2))) ),[0,1],$fot(t1)]]) ).
cnf(refute_0_22268,plain,
( and(xor(t5,or(carry,t2)),or(t1,xor(t5,or(carry,t2)))) != xor(t5,or(carry,t2))
| and(xor(t5,or(carry,t2)),t1) = xor(t5,or(carry,t2)) ),
inference(resolve,[$cnf( $equal(or(t1,xor(t5,or(carry,t2))),t1) )],[refute_0_22266,refute_0_22267]) ).
cnf(refute_0_22269,plain,
and(xor(t5,or(carry,t2)),t1) = xor(t5,or(carry,t2)),
inference(resolve,[$cnf( $equal(and(xor(t5,or(carry,t2)),or(t1,xor(t5,or(carry,t2)))),xor(t5,or(carry,t2))) )],[refute_0_22262,refute_0_22268]) ).
cnf(refute_0_22270,plain,
and(xor(t5,or(carry,t2)),t1) = and(t1,xor(t5,or(carry,t2))),
inference(subst,[],[refute_0_116:[bind(X,$fot(t1)),bind(Y,$fot(xor(t5,or(carry,t2))))]]) ).
cnf(refute_0_22271,plain,
( and(xor(t5,or(carry,t2)),t1) != and(t1,xor(t5,or(carry,t2)))
| and(xor(t5,or(carry,t2)),t1) != xor(t5,or(carry,t2))
| and(t1,xor(t5,or(carry,t2))) = xor(t5,or(carry,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t5,or(carry,t2)),t1),xor(t5,or(carry,t2))) ),[0],$fot(and(t1,xor(t5,or(carry,t2))))]]) ).
cnf(refute_0_22272,plain,
( and(xor(t5,or(carry,t2)),t1) != xor(t5,or(carry,t2))
| and(t1,xor(t5,or(carry,t2))) = xor(t5,or(carry,t2)) ),
inference(resolve,[$cnf( $equal(and(xor(t5,or(carry,t2)),t1),and(t1,xor(t5,or(carry,t2)))) )],[refute_0_22270,refute_0_22271]) ).
cnf(refute_0_22273,plain,
and(t1,xor(t5,or(carry,t2))) = xor(t5,or(carry,t2)),
inference(resolve,[$cnf( $equal(and(xor(t5,or(carry,t2)),t1),xor(t5,or(carry,t2))) )],[refute_0_22269,refute_0_22272]) ).
cnf(refute_0_22274,plain,
( and(and(t1,xor(t5,or(carry,t2))),Z) != and(t1,and(xor(t5,or(carry,t2)),Z))
| and(t1,xor(t5,or(carry,t2))) != xor(t5,or(carry,t2))
| and(xor(t5,or(carry,t2)),Z) = and(t1,and(xor(t5,or(carry,t2)),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t1,xor(t5,or(carry,t2))),Z),and(t1,and(xor(t5,or(carry,t2)),Z))) ),[0,0],$fot(xor(t5,or(carry,t2)))]]) ).
cnf(refute_0_22275,plain,
( and(and(t1,xor(t5,or(carry,t2))),Z) != and(t1,and(xor(t5,or(carry,t2)),Z))
| and(xor(t5,or(carry,t2)),Z) = and(t1,and(xor(t5,or(carry,t2)),Z)) ),
inference(resolve,[$cnf( $equal(and(t1,xor(t5,or(carry,t2))),xor(t5,or(carry,t2))) )],[refute_0_22273,refute_0_22274]) ).
cnf(refute_0_22276,plain,
and(xor(t5,or(carry,t2)),Z) = and(t1,and(xor(t5,or(carry,t2)),Z)),
inference(resolve,[$cnf( $equal(and(and(t1,xor(t5,or(carry,t2))),Z),and(t1,and(xor(t5,or(carry,t2)),Z))) )],[refute_0_22261,refute_0_22275]) ).
cnf(refute_0_22277,plain,
( and(xor(t5,or(carry,t2)),Z) != and(t1,and(xor(t5,or(carry,t2)),Z))
| and(t1,and(xor(t5,or(carry,t2)),Z)) = and(xor(t5,or(carry,t2)),Z) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(xor(t5,or(carry,t2)),Z))),bind(Y0,$fot(and(t1,and(xor(t5,or(carry,t2)),Z))))]]) ).
cnf(refute_0_22278,plain,
and(t1,and(xor(t5,or(carry,t2)),Z)) = and(xor(t5,or(carry,t2)),Z),
inference(resolve,[$cnf( $equal(and(xor(t5,or(carry,t2)),Z),and(t1,and(xor(t5,or(carry,t2)),Z))) )],[refute_0_22276,refute_0_22277]) ).
cnf(refute_0_22279,plain,
and(t1,and(xor(t5,or(carry,t2)),t5)) = and(xor(t5,or(carry,t2)),t5),
inference(subst,[],[refute_0_22278:[bind(Z,$fot(t5))]]) ).
cnf(refute_0_22280,plain,
( and(t1,and(xor(t5,or(carry,t2)),t5)) != and(xor(t5,or(carry,t2)),t5)
| and(xor(t5,or(carry,t2)),t5) != and(t5,xor(t5,or(carry,t2)))
| and(t1,and(xor(t5,or(carry,t2)),t5)) = and(t5,xor(t5,or(carry,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t1,and(xor(t5,or(carry,t2)),t5)))),bind(Y0,$fot(and(xor(t5,or(carry,t2)),t5))),bind(Z0,$fot(and(t5,xor(t5,or(carry,t2)))))]]) ).
cnf(refute_0_22281,plain,
( and(xor(t5,or(carry,t2)),t5) != and(t5,xor(t5,or(carry,t2)))
| and(t1,and(xor(t5,or(carry,t2)),t5)) = and(t5,xor(t5,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(t1,and(xor(t5,or(carry,t2)),t5)),and(xor(t5,or(carry,t2)),t5)) )],[refute_0_22279,refute_0_22280]) ).
cnf(refute_0_22282,plain,
and(t1,and(xor(t5,or(carry,t2)),t5)) = and(t5,xor(t5,or(carry,t2))),
inference(resolve,[$cnf( $equal(and(xor(t5,or(carry,t2)),t5),and(t5,xor(t5,or(carry,t2)))) )],[refute_0_22260,refute_0_22281]) ).
cnf(refute_0_22283,plain,
( and(t1,and(xor(t5,or(carry,t2)),t5)) != and(t5,xor(t5,or(carry,t2)))
| not(or(carry,t2)) != and(t1,and(xor(t5,or(carry,t2)),t5))
| not(or(carry,t2)) = and(t5,xor(t5,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,t2)),and(t1,and(xor(t5,or(carry,t2)),t5))) ),[1],$fot(and(t5,xor(t5,or(carry,t2))))]]) ).
cnf(refute_0_22284,plain,
( not(or(carry,t2)) != and(t1,and(xor(t5,or(carry,t2)),t5))
| not(or(carry,t2)) = and(t5,xor(t5,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(t1,and(xor(t5,or(carry,t2)),t5)),and(t5,xor(t5,or(carry,t2)))) )],[refute_0_22282,refute_0_22283]) ).
cnf(refute_0_22285,plain,
not(or(carry,t2)) = and(t5,xor(t5,or(carry,t2))),
inference(resolve,[$cnf( $equal(not(or(carry,t2)),and(t1,and(xor(t5,or(carry,t2)),t5))) )],[refute_0_22259,refute_0_22284]) ).
cnf(refute_0_22286,plain,
( not(or(carry,t2)) != and(t5,xor(t5,or(carry,t2)))
| not(or(carry,t2)) != not(or(b,t6))
| not(or(b,t6)) = and(t5,xor(t5,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,t2)),and(t5,xor(t5,or(carry,t2)))) ),[0],$fot(not(or(b,t6)))]]) ).
cnf(refute_0_22287,plain,
( not(or(carry,t2)) != and(t5,xor(t5,or(carry,t2)))
| not(or(b,t6)) = and(t5,xor(t5,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(not(or(carry,t2)),not(or(b,t6))) )],[refute_0_20577,refute_0_22286]) ).
cnf(refute_0_22288,plain,
and(t5,xor(t5,or(carry,t2))) = and(t5,xor(t5,or(carry,t2))),
introduced(tautology,[refl,[$fot(and(t5,xor(t5,or(carry,t2))))]]) ).
cnf(refute_0_22289,plain,
( and(t5,xor(t5,or(carry,t2))) != and(t5,xor(t5,or(carry,t2)))
| xor(t5,or(carry,t2)) != xor(t5,or(b,t6))
| and(t5,xor(t5,or(carry,t2))) = and(t5,xor(t5,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,xor(t5,or(carry,t2))),and(t5,xor(t5,or(carry,t2)))) ),[1,1],$fot(xor(t5,or(b,t6)))]]) ).
cnf(refute_0_22290,plain,
( xor(t5,or(carry,t2)) != xor(t5,or(b,t6))
| and(t5,xor(t5,or(carry,t2))) = and(t5,xor(t5,or(b,t6))) ),
inference(resolve,[$cnf( $equal(and(t5,xor(t5,or(carry,t2))),and(t5,xor(t5,or(carry,t2)))) )],[refute_0_22288,refute_0_22289]) ).
cnf(refute_0_22291,plain,
and(t5,xor(t5,or(carry,t2))) = and(t5,xor(t5,or(b,t6))),
inference(resolve,[$cnf( $equal(xor(t5,or(carry,t2)),xor(t5,or(b,t6))) )],[refute_0_19506,refute_0_22290]) ).
cnf(refute_0_22292,plain,
( and(t5,xor(t5,or(carry,t2))) != and(t5,xor(t5,or(b,t6)))
| not(or(b,t6)) != and(t5,xor(t5,or(carry,t2)))
| not(or(b,t6)) = and(t5,xor(t5,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(b,t6)),and(t5,xor(t5,or(carry,t2)))) ),[1],$fot(and(t5,xor(t5,or(b,t6))))]]) ).
cnf(refute_0_22293,plain,
( not(or(b,t6)) != and(t5,xor(t5,or(carry,t2)))
| not(or(b,t6)) = and(t5,xor(t5,or(b,t6))) ),
inference(resolve,[$cnf( $equal(and(t5,xor(t5,or(carry,t2))),and(t5,xor(t5,or(b,t6)))) )],[refute_0_22291,refute_0_22292]) ).
cnf(refute_0_22294,plain,
( not(or(carry,t2)) != and(t5,xor(t5,or(carry,t2)))
| not(or(b,t6)) = and(t5,xor(t5,or(b,t6))) ),
inference(resolve,[$cnf( $equal(not(or(b,t6)),and(t5,xor(t5,or(carry,t2)))) )],[refute_0_22287,refute_0_22293]) ).
cnf(refute_0_22295,plain,
not(or(b,t6)) = and(t5,xor(t5,or(b,t6))),
inference(resolve,[$cnf( $equal(not(or(carry,t2)),and(t5,xor(t5,or(carry,t2)))) )],[refute_0_22285,refute_0_22294]) ).
cnf(refute_0_22296,plain,
or(and(t6,not(or(X_270,t6))),and(not(t6),or(X_270,t6))) = xor(t6,or(X_270,t6)),
inference(subst,[],[refute_0_9:[bind(X,$fot(t6)),bind(Y,$fot(or(X_270,t6)))]]) ).
cnf(refute_0_22297,plain,
and(and(t5,and(t4,t6)),X_222) = and(t5,and(and(t4,t6),X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(t5)),bind(Y,$fot(and(t4,t6))),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_22298,plain,
and(t4,and(t5,t6)) = and(and(t5,t6),t4),
inference(subst,[],[and_commutative:[bind(X,$fot(t4)),bind(Y,$fot(and(t5,t6)))]]) ).
cnf(refute_0_22299,plain,
and(and(t4,t5),not(and(t4,t5))) = ll0,
inference(subst,[],[and_complement:[bind(X,$fot(and(t4,t5)))]]) ).
cnf(refute_0_22300,plain,
( and(and(t4,t5),not(and(t4,t5))) != ll0
| not(and(t4,t5)) != t6
| and(and(t4,t5),t6) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t4,t5),not(and(t4,t5))),ll0) ),[0,1],$fot(t6)]]) ).
cnf(refute_0_22301,plain,
( and(and(t4,t5),not(and(t4,t5))) != ll0
| and(and(t4,t5),t6) = ll0 ),
inference(resolve,[$cnf( $equal(not(and(t4,t5)),t6) )],[t6,refute_0_22300]) ).
cnf(refute_0_22302,plain,
and(and(t4,t5),t6) = ll0,
inference(resolve,[$cnf( $equal(and(and(t4,t5),not(and(t4,t5))),ll0) )],[refute_0_22299,refute_0_22301]) ).
cnf(refute_0_22303,plain,
and(and(t4,t5),t6) = and(t4,and(t5,t6)),
inference(subst,[],[and_associative:[bind(X,$fot(t4)),bind(Y,$fot(t5)),bind(Z,$fot(t6))]]) ).
cnf(refute_0_22304,plain,
( and(and(t4,t5),t6) != and(t4,and(t5,t6))
| and(and(t4,t5),t6) != ll0
| and(t4,and(t5,t6)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t4,t5),t6),ll0) ),[0],$fot(and(t4,and(t5,t6)))]]) ).
cnf(refute_0_22305,plain,
( and(and(t4,t5),t6) != ll0
| and(t4,and(t5,t6)) = ll0 ),
inference(resolve,[$cnf( $equal(and(and(t4,t5),t6),and(t4,and(t5,t6))) )],[refute_0_22303,refute_0_22304]) ).
cnf(refute_0_22306,plain,
and(t4,and(t5,t6)) = ll0,
inference(resolve,[$cnf( $equal(and(and(t4,t5),t6),ll0) )],[refute_0_22302,refute_0_22305]) ).
cnf(refute_0_22307,plain,
( and(t4,and(t5,t6)) != and(and(t5,t6),t4)
| and(t4,and(t5,t6)) != ll0
| ll0 = and(and(t5,t6),t4) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,and(t5,t6)),and(and(t5,t6),t4)) ),[0],$fot(ll0)]]) ).
cnf(refute_0_22308,plain,
( and(t4,and(t5,t6)) != and(and(t5,t6),t4)
| ll0 = and(and(t5,t6),t4) ),
inference(resolve,[$cnf( $equal(and(t4,and(t5,t6)),ll0) )],[refute_0_22306,refute_0_22307]) ).
cnf(refute_0_22309,plain,
ll0 = and(and(t5,t6),t4),
inference(resolve,[$cnf( $equal(and(t4,and(t5,t6)),and(and(t5,t6),t4)) )],[refute_0_22298,refute_0_22308]) ).
cnf(refute_0_22310,plain,
and(t6,t4) = and(t4,t6),
inference(subst,[],[refute_0_116:[bind(X,$fot(t4)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_22311,plain,
and(t5,and(t6,t4)) = and(t5,and(t6,t4)),
introduced(tautology,[refl,[$fot(and(t5,and(t6,t4)))]]) ).
cnf(refute_0_22312,plain,
( and(t5,and(t6,t4)) != and(t5,and(t6,t4))
| and(t6,t4) != and(t4,t6)
| and(t5,and(t6,t4)) = and(t5,and(t4,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,and(t6,t4)),and(t5,and(t6,t4))) ),[1,1],$fot(and(t4,t6))]]) ).
cnf(refute_0_22313,plain,
( and(t6,t4) != and(t4,t6)
| and(t5,and(t6,t4)) = and(t5,and(t4,t6)) ),
inference(resolve,[$cnf( $equal(and(t5,and(t6,t4)),and(t5,and(t6,t4))) )],[refute_0_22311,refute_0_22312]) ).
cnf(refute_0_22314,plain,
and(t5,and(t6,t4)) = and(t5,and(t4,t6)),
inference(resolve,[$cnf( $equal(and(t6,t4),and(t4,t6)) )],[refute_0_22310,refute_0_22313]) ).
cnf(refute_0_22315,plain,
and(and(t5,t6),t4) = and(t5,and(t6,t4)),
inference(subst,[],[and_associative:[bind(X,$fot(t5)),bind(Y,$fot(t6)),bind(Z,$fot(t4))]]) ).
cnf(refute_0_22316,plain,
( and(and(t5,t6),t4) != and(t5,and(t6,t4))
| and(t5,and(t6,t4)) != and(t5,and(t4,t6))
| and(and(t5,t6),t4) = and(t5,and(t4,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(t5,t6),t4))),bind(Y0,$fot(and(t5,and(t6,t4)))),bind(Z0,$fot(and(t5,and(t4,t6))))]]) ).
cnf(refute_0_22317,plain,
( and(t5,and(t6,t4)) != and(t5,and(t4,t6))
| and(and(t5,t6),t4) = and(t5,and(t4,t6)) ),
inference(resolve,[$cnf( $equal(and(and(t5,t6),t4),and(t5,and(t6,t4))) )],[refute_0_22315,refute_0_22316]) ).
cnf(refute_0_22318,plain,
and(and(t5,t6),t4) = and(t5,and(t4,t6)),
inference(resolve,[$cnf( $equal(and(t5,and(t6,t4)),and(t5,and(t4,t6))) )],[refute_0_22314,refute_0_22317]) ).
cnf(refute_0_22319,plain,
( and(and(t5,t6),t4) != and(t5,and(t4,t6))
| ll0 != and(and(t5,t6),t4)
| ll0 = and(t5,and(t4,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(and(t5,t6),t4)) ),[1],$fot(and(t5,and(t4,t6)))]]) ).
cnf(refute_0_22320,plain,
( ll0 != and(and(t5,t6),t4)
| ll0 = and(t5,and(t4,t6)) ),
inference(resolve,[$cnf( $equal(and(and(t5,t6),t4),and(t5,and(t4,t6))) )],[refute_0_22318,refute_0_22319]) ).
cnf(refute_0_22321,plain,
ll0 = and(t5,and(t4,t6)),
inference(resolve,[$cnf( $equal(ll0,and(and(t5,t6),t4)) )],[refute_0_22309,refute_0_22320]) ).
cnf(refute_0_22322,plain,
( ll0 != and(t5,and(t4,t6))
| and(t5,and(t4,t6)) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(t5,and(t4,t6))))]]) ).
cnf(refute_0_22323,plain,
and(t5,and(t4,t6)) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(t5,and(t4,t6))) )],[refute_0_22321,refute_0_22322]) ).
cnf(refute_0_22324,plain,
( and(and(t5,and(t4,t6)),X_222) != and(t5,and(and(t4,t6),X_222))
| and(t5,and(t4,t6)) != ll0
| and(ll0,X_222) = and(t5,and(and(t4,t6),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t5,and(t4,t6)),X_222),and(t5,and(and(t4,t6),X_222))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_22325,plain,
( and(and(t5,and(t4,t6)),X_222) != and(t5,and(and(t4,t6),X_222))
| and(ll0,X_222) = and(t5,and(and(t4,t6),X_222)) ),
inference(resolve,[$cnf( $equal(and(t5,and(t4,t6)),ll0) )],[refute_0_22323,refute_0_22324]) ).
cnf(refute_0_22326,plain,
and(ll0,X_222) = and(t5,and(and(t4,t6),X_222)),
inference(resolve,[$cnf( $equal(and(and(t5,and(t4,t6)),X_222),and(t5,and(and(t4,t6),X_222))) )],[refute_0_22297,refute_0_22325]) ).
cnf(refute_0_22327,plain,
( and(ll0,X_222) != and(t5,and(and(t4,t6),X_222))
| and(ll0,X_222) != ll0
| ll0 = and(t5,and(and(t4,t6),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(ll0,X_222),and(t5,and(and(t4,t6),X_222))) ),[0],$fot(ll0)]]) ).
cnf(refute_0_22328,plain,
( and(ll0,X_222) != and(t5,and(and(t4,t6),X_222))
| ll0 = and(t5,and(and(t4,t6),X_222)) ),
inference(resolve,[$cnf( $equal(and(ll0,X_222),ll0) )],[refute_0_873,refute_0_22327]) ).
cnf(refute_0_22329,plain,
and(not(t6),and(t6,X_222)) = and(t6,and(X_222,not(t6))),
inference(subst,[],[refute_0_880:[bind(X,$fot(not(t6))),bind(X_220,$fot(t6)),bind(X_221,$fot(X_222))]]) ).
cnf(refute_0_22330,plain,
( and(not(t6),X_222) != and(t4,and(t5,X_222))
| and(t4,and(t5,X_222)) = and(not(t6),X_222) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t6),X_222))),bind(Y0,$fot(and(t4,and(t5,X_222))))]]) ).
cnf(refute_0_22331,plain,
and(t4,and(t5,X_222)) = and(not(t6),X_222),
inference(resolve,[$cnf( $equal(and(not(t6),X_222),and(t4,and(t5,X_222))) )],[refute_0_667,refute_0_22330]) ).
cnf(refute_0_22332,plain,
and(t4,and(t5,and(t6,X_222))) = and(not(t6),and(t6,X_222)),
inference(subst,[],[refute_0_22331:[bind(X_222,$fot(and(t6,X_222)))]]) ).
cnf(refute_0_22333,plain,
( and(not(t6),and(t6,X_222)) != and(t6,and(X_222,not(t6)))
| and(t4,and(t5,and(t6,X_222))) != and(not(t6),and(t6,X_222))
| and(t4,and(t5,and(t6,X_222))) = and(t6,and(X_222,not(t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t4,and(t5,and(t6,X_222))))),bind(Y0,$fot(and(not(t6),and(t6,X_222)))),bind(Z0,$fot(and(t6,and(X_222,not(t6)))))]]) ).
cnf(refute_0_22334,plain,
( and(not(t6),and(t6,X_222)) != and(t6,and(X_222,not(t6)))
| and(t4,and(t5,and(t6,X_222))) = and(t6,and(X_222,not(t6))) ),
inference(resolve,[$cnf( $equal(and(t4,and(t5,and(t6,X_222))),and(not(t6),and(t6,X_222))) )],[refute_0_22332,refute_0_22333]) ).
cnf(refute_0_22335,plain,
and(t4,and(t5,and(t6,X_222))) = and(t6,and(X_222,not(t6))),
inference(resolve,[$cnf( $equal(and(not(t6),and(t6,X_222)),and(t6,and(X_222,not(t6)))) )],[refute_0_22329,refute_0_22334]) ).
cnf(refute_0_22336,plain,
and(t6,and(X_222,t5)) = and(t5,and(t6,X_222)),
inference(subst,[],[refute_0_889:[bind(X,$fot(t5)),bind(X_220,$fot(t6)),bind(X_221,$fot(X_222))]]) ).
cnf(refute_0_22337,plain,
and(and(t6,X_222),t5) = and(t6,and(X_222,t5)),
inference(subst,[],[and_associative:[bind(X,$fot(t6)),bind(Y,$fot(X_222)),bind(Z,$fot(t5))]]) ).
cnf(refute_0_22338,plain,
( and(and(t6,X_222),t5) != and(t6,and(X_222,t5))
| and(t6,and(X_222,t5)) != and(t5,and(t6,X_222))
| and(and(t6,X_222),t5) = and(t5,and(t6,X_222)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(t6,X_222),t5))),bind(Y0,$fot(and(t6,and(X_222,t5)))),bind(Z0,$fot(and(t5,and(t6,X_222))))]]) ).
cnf(refute_0_22339,plain,
( and(t6,and(X_222,t5)) != and(t5,and(t6,X_222))
| and(and(t6,X_222),t5) = and(t5,and(t6,X_222)) ),
inference(resolve,[$cnf( $equal(and(and(t6,X_222),t5),and(t6,and(X_222,t5))) )],[refute_0_22337,refute_0_22338]) ).
cnf(refute_0_22340,plain,
and(and(t6,X_222),t5) = and(t5,and(t6,X_222)),
inference(resolve,[$cnf( $equal(and(t6,and(X_222,t5)),and(t5,and(t6,X_222))) )],[refute_0_22336,refute_0_22339]) ).
cnf(refute_0_22341,plain,
and(t4,and(and(t6,X_222),t5)) = and(t4,and(and(t6,X_222),t5)),
introduced(tautology,[refl,[$fot(and(t4,and(and(t6,X_222),t5)))]]) ).
cnf(refute_0_22342,plain,
( and(and(t6,X_222),t5) != and(t5,and(t6,X_222))
| and(t4,and(and(t6,X_222),t5)) != and(t4,and(and(t6,X_222),t5))
| and(t4,and(and(t6,X_222),t5)) = and(t4,and(t5,and(t6,X_222))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,and(and(t6,X_222),t5)),and(t4,and(and(t6,X_222),t5))) ),[1,1],$fot(and(t5,and(t6,X_222)))]]) ).
cnf(refute_0_22343,plain,
( and(and(t6,X_222),t5) != and(t5,and(t6,X_222))
| and(t4,and(and(t6,X_222),t5)) = and(t4,and(t5,and(t6,X_222))) ),
inference(resolve,[$cnf( $equal(and(t4,and(and(t6,X_222),t5)),and(t4,and(and(t6,X_222),t5))) )],[refute_0_22341,refute_0_22342]) ).
cnf(refute_0_22344,plain,
and(t4,and(and(t6,X_222),t5)) = and(t4,and(t5,and(t6,X_222))),
inference(resolve,[$cnf( $equal(and(and(t6,X_222),t5),and(t5,and(t6,X_222))) )],[refute_0_22340,refute_0_22343]) ).
cnf(refute_0_22345,plain,
( and(t4,and(and(t6,X_222),t5)) != and(t4,and(t5,and(t6,X_222)))
| and(t4,and(t5,and(t6,X_222))) != and(t6,and(X_222,not(t6)))
| and(t4,and(and(t6,X_222),t5)) = and(t6,and(X_222,not(t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t4,and(and(t6,X_222),t5)))),bind(Y0,$fot(and(t4,and(t5,and(t6,X_222))))),bind(Z0,$fot(and(t6,and(X_222,not(t6)))))]]) ).
cnf(refute_0_22346,plain,
( and(t4,and(t5,and(t6,X_222))) != and(t6,and(X_222,not(t6)))
| and(t4,and(and(t6,X_222),t5)) = and(t6,and(X_222,not(t6))) ),
inference(resolve,[$cnf( $equal(and(t4,and(and(t6,X_222),t5)),and(t4,and(t5,and(t6,X_222)))) )],[refute_0_22344,refute_0_22345]) ).
cnf(refute_0_22347,plain,
and(t4,and(and(t6,X_222),t5)) = and(t6,and(X_222,not(t6))),
inference(resolve,[$cnf( $equal(and(t4,and(t5,and(t6,X_222))),and(t6,and(X_222,not(t6)))) )],[refute_0_22335,refute_0_22346]) ).
cnf(refute_0_22348,plain,
and(t5,and(t4,and(t6,X_222))) = and(t4,and(and(t6,X_222),t5)),
inference(subst,[],[refute_0_880:[bind(X,$fot(t5)),bind(X_220,$fot(t4)),bind(X_221,$fot(and(t6,X_222)))]]) ).
cnf(refute_0_22349,plain,
( and(t4,and(and(t6,X_222),t5)) != and(t6,and(X_222,not(t6)))
| and(t5,and(t4,and(t6,X_222))) != and(t4,and(and(t6,X_222),t5))
| and(t5,and(t4,and(t6,X_222))) = and(t6,and(X_222,not(t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t5,and(t4,and(t6,X_222))))),bind(Y0,$fot(and(t4,and(and(t6,X_222),t5)))),bind(Z0,$fot(and(t6,and(X_222,not(t6)))))]]) ).
cnf(refute_0_22350,plain,
( and(t4,and(and(t6,X_222),t5)) != and(t6,and(X_222,not(t6)))
| and(t5,and(t4,and(t6,X_222))) = and(t6,and(X_222,not(t6))) ),
inference(resolve,[$cnf( $equal(and(t5,and(t4,and(t6,X_222))),and(t4,and(and(t6,X_222),t5))) )],[refute_0_22348,refute_0_22349]) ).
cnf(refute_0_22351,plain,
and(t5,and(t4,and(t6,X_222))) = and(t6,and(X_222,not(t6))),
inference(resolve,[$cnf( $equal(and(t4,and(and(t6,X_222),t5)),and(t6,and(X_222,not(t6)))) )],[refute_0_22347,refute_0_22350]) ).
cnf(refute_0_22352,plain,
and(and(t4,t6),X_222) = and(t4,and(t6,X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(t4)),bind(Y,$fot(t6)),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_22353,plain,
and(t5,and(and(t4,t6),X_222)) = and(t5,and(and(t4,t6),X_222)),
introduced(tautology,[refl,[$fot(and(t5,and(and(t4,t6),X_222)))]]) ).
cnf(refute_0_22354,plain,
( and(and(t4,t6),X_222) != and(t4,and(t6,X_222))
| and(t5,and(and(t4,t6),X_222)) != and(t5,and(and(t4,t6),X_222))
| and(t5,and(and(t4,t6),X_222)) = and(t5,and(t4,and(t6,X_222))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,and(and(t4,t6),X_222)),and(t5,and(and(t4,t6),X_222))) ),[1,1],$fot(and(t4,and(t6,X_222)))]]) ).
cnf(refute_0_22355,plain,
( and(and(t4,t6),X_222) != and(t4,and(t6,X_222))
| and(t5,and(and(t4,t6),X_222)) = and(t5,and(t4,and(t6,X_222))) ),
inference(resolve,[$cnf( $equal(and(t5,and(and(t4,t6),X_222)),and(t5,and(and(t4,t6),X_222))) )],[refute_0_22353,refute_0_22354]) ).
cnf(refute_0_22356,plain,
and(t5,and(and(t4,t6),X_222)) = and(t5,and(t4,and(t6,X_222))),
inference(resolve,[$cnf( $equal(and(and(t4,t6),X_222),and(t4,and(t6,X_222))) )],[refute_0_22352,refute_0_22355]) ).
cnf(refute_0_22357,plain,
( and(t5,and(and(t4,t6),X_222)) != and(t5,and(t4,and(t6,X_222)))
| and(t5,and(t4,and(t6,X_222))) != and(t6,and(X_222,not(t6)))
| and(t5,and(and(t4,t6),X_222)) = and(t6,and(X_222,not(t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t5,and(and(t4,t6),X_222)))),bind(Y0,$fot(and(t5,and(t4,and(t6,X_222))))),bind(Z0,$fot(and(t6,and(X_222,not(t6)))))]]) ).
cnf(refute_0_22358,plain,
( and(t5,and(t4,and(t6,X_222))) != and(t6,and(X_222,not(t6)))
| and(t5,and(and(t4,t6),X_222)) = and(t6,and(X_222,not(t6))) ),
inference(resolve,[$cnf( $equal(and(t5,and(and(t4,t6),X_222)),and(t5,and(t4,and(t6,X_222)))) )],[refute_0_22356,refute_0_22357]) ).
cnf(refute_0_22359,plain,
and(t5,and(and(t4,t6),X_222)) = and(t6,and(X_222,not(t6))),
inference(resolve,[$cnf( $equal(and(t5,and(t4,and(t6,X_222))),and(t6,and(X_222,not(t6)))) )],[refute_0_22351,refute_0_22358]) ).
cnf(refute_0_22360,plain,
( and(t5,and(and(t4,t6),X_222)) != and(t6,and(X_222,not(t6)))
| ll0 != and(t5,and(and(t4,t6),X_222))
| ll0 = and(t6,and(X_222,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(t5,and(and(t4,t6),X_222))) ),[1],$fot(and(t6,and(X_222,not(t6))))]]) ).
cnf(refute_0_22361,plain,
( ll0 != and(t5,and(and(t4,t6),X_222))
| ll0 = and(t6,and(X_222,not(t6))) ),
inference(resolve,[$cnf( $equal(and(t5,and(and(t4,t6),X_222)),and(t6,and(X_222,not(t6)))) )],[refute_0_22359,refute_0_22360]) ).
cnf(refute_0_22362,plain,
( and(ll0,X_222) != and(t5,and(and(t4,t6),X_222))
| ll0 = and(t6,and(X_222,not(t6))) ),
inference(resolve,[$cnf( $equal(ll0,and(t5,and(and(t4,t6),X_222))) )],[refute_0_22328,refute_0_22361]) ).
cnf(refute_0_22363,plain,
ll0 = and(t6,and(X_222,not(t6))),
inference(resolve,[$cnf( $equal(and(ll0,X_222),and(t5,and(and(t4,t6),X_222))) )],[refute_0_22326,refute_0_22362]) ).
cnf(refute_0_22364,plain,
ll0 = and(t6,and(not(X),not(t6))),
inference(subst,[],[refute_0_22363:[bind(X_222,$fot(not(X)))]]) ).
cnf(refute_0_22365,plain,
not(or(X,t6)) = and(not(X),not(t6)),
inference(subst,[],[or_demorgan:[bind(Y,$fot(t6))]]) ).
cnf(refute_0_22366,plain,
( not(or(X,t6)) != and(not(X),not(t6))
| and(not(X),not(t6)) = not(or(X,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X,t6)))),bind(Y0,$fot(and(not(X),not(t6))))]]) ).
cnf(refute_0_22367,plain,
and(not(X),not(t6)) = not(or(X,t6)),
inference(resolve,[$cnf( $equal(not(or(X,t6)),and(not(X),not(t6))) )],[refute_0_22365,refute_0_22366]) ).
cnf(refute_0_22368,plain,
( and(not(X),not(t6)) != not(or(X,t6))
| ll0 != and(t6,and(not(X),not(t6)))
| ll0 = and(t6,not(or(X,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(t6,and(not(X),not(t6)))) ),[1,1],$fot(not(or(X,t6)))]]) ).
cnf(refute_0_22369,plain,
( ll0 != and(t6,and(not(X),not(t6)))
| ll0 = and(t6,not(or(X,t6))) ),
inference(resolve,[$cnf( $equal(and(not(X),not(t6)),not(or(X,t6))) )],[refute_0_22367,refute_0_22368]) ).
cnf(refute_0_22370,plain,
ll0 = and(t6,not(or(X,t6))),
inference(resolve,[$cnf( $equal(ll0,and(t6,and(not(X),not(t6)))) )],[refute_0_22364,refute_0_22369]) ).
cnf(refute_0_22371,plain,
ll0 = and(t6,not(or(X_270,t6))),
inference(subst,[],[refute_0_22370:[bind(X,$fot(X_270))]]) ).
cnf(refute_0_22372,plain,
( ll0 != and(t6,not(or(X_270,t6)))
| and(t6,not(or(X_270,t6))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(t6,not(or(X_270,t6)))))]]) ).
cnf(refute_0_22373,plain,
and(t6,not(or(X_270,t6))) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(t6,not(or(X_270,t6)))) )],[refute_0_22371,refute_0_22372]) ).
cnf(refute_0_22374,plain,
( and(t6,not(or(X_270,t6))) != ll0
| or(and(t6,not(or(X_270,t6))),and(not(t6),or(X_270,t6))) != xor(t6,or(X_270,t6))
| or(ll0,and(not(t6),or(X_270,t6))) = xor(t6,or(X_270,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,not(or(X_270,t6))),and(not(t6),or(X_270,t6))),xor(t6,or(X_270,t6))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_22375,plain,
( or(and(t6,not(or(X_270,t6))),and(not(t6),or(X_270,t6))) != xor(t6,or(X_270,t6))
| or(ll0,and(not(t6),or(X_270,t6))) = xor(t6,or(X_270,t6)) ),
inference(resolve,[$cnf( $equal(and(t6,not(or(X_270,t6))),ll0) )],[refute_0_22373,refute_0_22374]) ).
cnf(refute_0_22376,plain,
or(ll0,and(not(t6),or(X_270,t6))) = xor(t6,or(X_270,t6)),
inference(resolve,[$cnf( $equal(or(and(t6,not(or(X_270,t6))),and(not(t6),or(X_270,t6))),xor(t6,or(X_270,t6))) )],[refute_0_22296,refute_0_22375]) ).
cnf(refute_0_22377,plain,
or(ll0,and(not(t6),or(X_270,t6))) = and(not(t6),or(X_270,t6)),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(t6),or(X_270,t6))))]]) ).
cnf(refute_0_22378,plain,
( or(ll0,and(not(t6),or(X_270,t6))) != and(not(t6),or(X_270,t6))
| or(ll0,and(not(t6),or(X_270,t6))) != xor(t6,or(X_270,t6))
| and(not(t6),or(X_270,t6)) = xor(t6,or(X_270,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(t6),or(X_270,t6))),xor(t6,or(X_270,t6))) ),[0],$fot(and(not(t6),or(X_270,t6)))]]) ).
cnf(refute_0_22379,plain,
( or(ll0,and(not(t6),or(X_270,t6))) != xor(t6,or(X_270,t6))
| and(not(t6),or(X_270,t6)) = xor(t6,or(X_270,t6)) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t6),or(X_270,t6))),and(not(t6),or(X_270,t6))) )],[refute_0_22377,refute_0_22378]) ).
cnf(refute_0_22380,plain,
and(not(t6),or(X_270,t6)) = xor(t6,or(X_270,t6)),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t6),or(X_270,t6))),xor(t6,or(X_270,t6))) )],[refute_0_22376,refute_0_22379]) ).
cnf(refute_0_22381,plain,
and(not(t6),or(a,t6)) = xor(t6,or(a,t6)),
inference(subst,[],[refute_0_22380:[bind(X_270,$fot(a))]]) ).
cnf(refute_0_22382,plain,
( and(not(t6),or(a,t6)) != xor(t6,or(a,t6))
| xor(t6,or(a,t6)) != xor(a,and(a,carry))
| and(not(t6),or(a,t6)) = xor(a,and(a,carry)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t6),or(a,t6)))),bind(Y0,$fot(xor(t6,or(a,t6)))),bind(Z0,$fot(xor(a,and(a,carry))))]]) ).
cnf(refute_0_22383,plain,
( xor(t6,or(a,t6)) != xor(a,and(a,carry))
| and(not(t6),or(a,t6)) = xor(a,and(a,carry)) ),
inference(resolve,[$cnf( $equal(and(not(t6),or(a,t6)),xor(t6,or(a,t6))) )],[refute_0_22381,refute_0_22382]) ).
cnf(refute_0_22384,plain,
and(not(t6),or(a,t6)) = xor(a,and(a,carry)),
inference(resolve,[$cnf( $equal(xor(t6,or(a,t6)),xor(a,and(a,carry))) )],[refute_0_22159,refute_0_22383]) ).
cnf(refute_0_22385,plain,
and(t4,and(t5,or(a,t6))) = and(not(t6),or(a,t6)),
inference(subst,[],[refute_0_22331:[bind(X_222,$fot(or(a,t6)))]]) ).
cnf(refute_0_22386,plain,
( and(not(t6),or(a,t6)) != xor(a,and(a,carry))
| and(t4,and(t5,or(a,t6))) != and(not(t6),or(a,t6))
| and(t4,and(t5,or(a,t6))) = xor(a,and(a,carry)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t4,and(t5,or(a,t6))))),bind(Y0,$fot(and(not(t6),or(a,t6)))),bind(Z0,$fot(xor(a,and(a,carry))))]]) ).
cnf(refute_0_22387,plain,
( and(not(t6),or(a,t6)) != xor(a,and(a,carry))
| and(t4,and(t5,or(a,t6))) = xor(a,and(a,carry)) ),
inference(resolve,[$cnf( $equal(and(t4,and(t5,or(a,t6))),and(not(t6),or(a,t6))) )],[refute_0_22385,refute_0_22386]) ).
cnf(refute_0_22388,plain,
and(t4,and(t5,or(a,t6))) = xor(a,and(a,carry)),
inference(resolve,[$cnf( $equal(and(not(t6),or(a,t6)),xor(a,and(a,carry))) )],[refute_0_22384,refute_0_22387]) ).
cnf(refute_0_22389,plain,
and(t5,and(t4,or(a,t6))) = and(t4,and(t5,or(a,t6))),
inference(subst,[],[refute_0_4220:[bind(X,$fot(t4)),bind(Z,$fot(or(a,t6))),bind(X_669,$fot(t5))]]) ).
cnf(refute_0_22390,plain,
( and(t4,and(t5,or(a,t6))) != xor(a,and(a,carry))
| and(t5,and(t4,or(a,t6))) != and(t4,and(t5,or(a,t6)))
| and(t5,and(t4,or(a,t6))) = xor(a,and(a,carry)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t5,and(t4,or(a,t6))))),bind(Y0,$fot(and(t4,and(t5,or(a,t6))))),bind(Z0,$fot(xor(a,and(a,carry))))]]) ).
cnf(refute_0_22391,plain,
( and(t4,and(t5,or(a,t6))) != xor(a,and(a,carry))
| and(t5,and(t4,or(a,t6))) = xor(a,and(a,carry)) ),
inference(resolve,[$cnf( $equal(and(t5,and(t4,or(a,t6))),and(t4,and(t5,or(a,t6)))) )],[refute_0_22389,refute_0_22390]) ).
cnf(refute_0_22392,plain,
and(t5,and(t4,or(a,t6))) = xor(a,and(a,carry)),
inference(resolve,[$cnf( $equal(and(t4,and(t5,or(a,t6))),xor(a,and(a,carry))) )],[refute_0_22388,refute_0_22391]) ).
cnf(refute_0_22393,plain,
and(t5,xor(t5,or(b,t6))) = and(t5,xor(t5,or(b,t6))),
introduced(tautology,[refl,[$fot(and(t5,xor(t5,or(b,t6))))]]) ).
cnf(refute_0_22394,plain,
( and(t5,xor(t5,or(b,t6))) != and(t5,xor(t5,or(b,t6)))
| xor(t5,or(b,t6)) != and(t4,or(a,t6))
| and(t5,xor(t5,or(b,t6))) = and(t5,and(t4,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,xor(t5,or(b,t6))),and(t5,xor(t5,or(b,t6)))) ),[1,1],$fot(and(t4,or(a,t6)))]]) ).
cnf(refute_0_22395,plain,
( xor(t5,or(b,t6)) != and(t4,or(a,t6))
| and(t5,xor(t5,or(b,t6))) = and(t5,and(t4,or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(t5,xor(t5,or(b,t6))),and(t5,xor(t5,or(b,t6)))) )],[refute_0_22393,refute_0_22394]) ).
cnf(refute_0_22396,plain,
and(t5,xor(t5,or(b,t6))) = and(t5,and(t4,or(a,t6))),
inference(resolve,[$cnf( $equal(xor(t5,or(b,t6)),and(t4,or(a,t6))) )],[refute_0_22063,refute_0_22395]) ).
cnf(refute_0_22397,plain,
( and(t5,and(t4,or(a,t6))) != xor(a,and(a,carry))
| and(t5,xor(t5,or(b,t6))) != and(t5,and(t4,or(a,t6)))
| and(t5,xor(t5,or(b,t6))) = xor(a,and(a,carry)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t5,xor(t5,or(b,t6))))),bind(Y0,$fot(and(t5,and(t4,or(a,t6))))),bind(Z0,$fot(xor(a,and(a,carry))))]]) ).
cnf(refute_0_22398,plain,
( and(t5,and(t4,or(a,t6))) != xor(a,and(a,carry))
| and(t5,xor(t5,or(b,t6))) = xor(a,and(a,carry)) ),
inference(resolve,[$cnf( $equal(and(t5,xor(t5,or(b,t6))),and(t5,and(t4,or(a,t6)))) )],[refute_0_22396,refute_0_22397]) ).
cnf(refute_0_22399,plain,
and(t5,xor(t5,or(b,t6))) = xor(a,and(a,carry)),
inference(resolve,[$cnf( $equal(and(t5,and(t4,or(a,t6))),xor(a,and(a,carry))) )],[refute_0_22392,refute_0_22398]) ).
cnf(refute_0_22400,plain,
( and(t5,xor(t5,or(b,t6))) != xor(a,and(a,carry))
| not(or(b,t6)) != and(t5,xor(t5,or(b,t6)))
| not(or(b,t6)) = xor(a,and(a,carry)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(b,t6)),and(t5,xor(t5,or(b,t6)))) ),[1],$fot(xor(a,and(a,carry)))]]) ).
cnf(refute_0_22401,plain,
( not(or(b,t6)) != and(t5,xor(t5,or(b,t6)))
| not(or(b,t6)) = xor(a,and(a,carry)) ),
inference(resolve,[$cnf( $equal(and(t5,xor(t5,or(b,t6))),xor(a,and(a,carry))) )],[refute_0_22399,refute_0_22400]) ).
cnf(refute_0_22402,plain,
not(or(b,t6)) = xor(a,and(a,carry)),
inference(resolve,[$cnf( $equal(not(or(b,t6)),and(t5,xor(t5,or(b,t6)))) )],[refute_0_22295,refute_0_22401]) ).
cnf(refute_0_22403,plain,
( not(or(b,t6)) != xor(a,and(a,carry))
| xor(a,and(a,carry)) = not(or(b,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(b,t6)))),bind(Y0,$fot(xor(a,and(a,carry))))]]) ).
cnf(refute_0_22404,plain,
xor(a,and(a,carry)) = not(or(b,t6)),
inference(resolve,[$cnf( $equal(not(or(b,t6)),xor(a,and(a,carry))) )],[refute_0_22402,refute_0_22403]) ).
cnf(refute_0_22405,plain,
not(xor(a,and(a,carry))) = not(xor(a,and(a,carry))),
introduced(tautology,[refl,[$fot(not(xor(a,and(a,carry))))]]) ).
cnf(refute_0_22406,plain,
( not(xor(a,and(a,carry))) != not(xor(a,and(a,carry)))
| xor(a,and(a,carry)) != not(or(b,t6))
| not(xor(a,and(a,carry))) = not(not(or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(a,and(a,carry))),not(xor(a,and(a,carry)))) ),[1,0],$fot(not(or(b,t6)))]]) ).
cnf(refute_0_22407,plain,
( xor(a,and(a,carry)) != not(or(b,t6))
| not(xor(a,and(a,carry))) = not(not(or(b,t6))) ),
inference(resolve,[$cnf( $equal(not(xor(a,and(a,carry))),not(xor(a,and(a,carry)))) )],[refute_0_22405,refute_0_22406]) ).
cnf(refute_0_22408,plain,
not(xor(a,and(a,carry))) = not(not(or(b,t6))),
inference(resolve,[$cnf( $equal(xor(a,and(a,carry)),not(or(b,t6))) )],[refute_0_22404,refute_0_22407]) ).
cnf(refute_0_22409,plain,
( not(not(or(b,t6))) != or(b,t6)
| not(xor(a,and(a,carry))) != not(not(or(b,t6)))
| not(xor(a,and(a,carry))) = or(b,t6) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(a,and(a,carry))))),bind(Y0,$fot(not(not(or(b,t6))))),bind(Z0,$fot(or(b,t6)))]]) ).
cnf(refute_0_22410,plain,
( not(not(or(b,t6))) != or(b,t6)
| not(xor(a,and(a,carry))) = or(b,t6) ),
inference(resolve,[$cnf( $equal(not(xor(a,and(a,carry))),not(not(or(b,t6)))) )],[refute_0_22408,refute_0_22409]) ).
cnf(refute_0_22411,plain,
not(xor(a,and(a,carry))) = or(b,t6),
inference(resolve,[$cnf( $equal(not(not(or(b,t6))),or(b,t6)) )],[refute_0_22171,refute_0_22410]) ).
cnf(refute_0_22412,plain,
and(t4,not(xor(a,and(a,carry)))) = and(t4,not(xor(a,and(a,carry)))),
introduced(tautology,[refl,[$fot(and(t4,not(xor(a,and(a,carry)))))]]) ).
cnf(refute_0_22413,plain,
( and(t4,not(xor(a,and(a,carry)))) != and(t4,not(xor(a,and(a,carry))))
| not(xor(a,and(a,carry))) != or(b,t6)
| and(t4,not(xor(a,and(a,carry)))) = and(t4,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,not(xor(a,and(a,carry)))),and(t4,not(xor(a,and(a,carry))))) ),[1,1],$fot(or(b,t6))]]) ).
cnf(refute_0_22414,plain,
( not(xor(a,and(a,carry))) != or(b,t6)
| and(t4,not(xor(a,and(a,carry)))) = and(t4,or(b,t6)) ),
inference(resolve,[$cnf( $equal(and(t4,not(xor(a,and(a,carry)))),and(t4,not(xor(a,and(a,carry))))) )],[refute_0_22412,refute_0_22413]) ).
cnf(refute_0_22415,plain,
and(t4,not(xor(a,and(a,carry)))) = and(t4,or(b,t6)),
inference(resolve,[$cnf( $equal(not(xor(a,and(a,carry))),or(b,t6)) )],[refute_0_22411,refute_0_22414]) ).
cnf(refute_0_22416,plain,
( and(t4,not(xor(a,and(a,carry)))) != and(t4,or(b,t6))
| and(t4,not(xor(a,and(a,carry)))) != xor(t5,or(a,t6))
| and(t4,or(b,t6)) = xor(t5,or(a,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,not(xor(a,and(a,carry)))),xor(t5,or(a,t6))) ),[0],$fot(and(t4,or(b,t6)))]]) ).
cnf(refute_0_22417,plain,
( and(t4,not(xor(a,and(a,carry)))) != xor(t5,or(a,t6))
| and(t4,or(b,t6)) = xor(t5,or(a,t6)) ),
inference(resolve,[$cnf( $equal(and(t4,not(xor(a,and(a,carry)))),and(t4,or(b,t6))) )],[refute_0_22415,refute_0_22416]) ).
cnf(refute_0_22418,plain,
and(t4,or(b,t6)) = xor(t5,or(a,t6)),
inference(resolve,[$cnf( $equal(and(t4,not(xor(a,and(a,carry)))),xor(t5,or(a,t6))) )],[refute_0_22170,refute_0_22417]) ).
cnf(refute_0_22419,plain,
not(not(xor(t3,or(b,t5)))) = xor(t3,or(b,t5)),
inference(subst,[],[not_involution:[bind(X,$fot(xor(t3,or(b,t5))))]]) ).
cnf(refute_0_22420,plain,
and(t3,not(and(a,not(t5)))) = xor(t3,and(a,not(t5))),
inference(subst,[],[refute_0_1693:[bind(X_42,$fot(not(t5)))]]) ).
cnf(refute_0_22421,plain,
( and(a,not(t5)) != not(or(b,t5))
| and(t3,not(and(a,not(t5)))) != xor(t3,and(a,not(t5)))
| and(t3,not(and(a,not(t5)))) = xor(t3,not(or(b,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,not(and(a,not(t5)))),xor(t3,and(a,not(t5)))) ),[1,1],$fot(not(or(b,t5)))]]) ).
cnf(refute_0_22422,plain,
( and(t3,not(and(a,not(t5)))) != xor(t3,and(a,not(t5)))
| and(t3,not(and(a,not(t5)))) = xor(t3,not(or(b,t5))) ),
inference(resolve,[$cnf( $equal(and(a,not(t5)),not(or(b,t5))) )],[refute_0_14312,refute_0_22421]) ).
cnf(refute_0_22423,plain,
and(t3,not(and(a,not(t5)))) = xor(t3,not(or(b,t5))),
inference(resolve,[$cnf( $equal(and(t3,not(and(a,not(t5)))),xor(t3,and(a,not(t5)))) )],[refute_0_22420,refute_0_22422]) ).
cnf(refute_0_22424,plain,
and(t3,or(t5,not(a))) = and(t3,or(t5,not(a))),
introduced(tautology,[refl,[$fot(and(t3,or(t5,not(a))))]]) ).
cnf(refute_0_22425,plain,
( and(t3,or(t5,not(a))) != and(t3,or(t5,not(a)))
| or(t5,not(a)) != or(b,t5)
| and(t3,or(t5,not(a))) = and(t3,or(b,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,or(t5,not(a))),and(t3,or(t5,not(a)))) ),[1,1],$fot(or(b,t5))]]) ).
cnf(refute_0_22426,plain,
( or(t5,not(a)) != or(b,t5)
| and(t3,or(t5,not(a))) = and(t3,or(b,t5)) ),
inference(resolve,[$cnf( $equal(and(t3,or(t5,not(a))),and(t3,or(t5,not(a)))) )],[refute_0_22424,refute_0_22425]) ).
cnf(refute_0_22427,plain,
and(t3,or(t5,not(a))) = and(t3,or(b,t5)),
inference(resolve,[$cnf( $equal(or(t5,not(a)),or(b,t5)) )],[refute_0_19673,refute_0_22426]) ).
cnf(refute_0_22428,plain,
xor(t3,and(a,not(t5))) = and(t3,or(t5,not(a))),
inference(subst,[],[refute_0_6519:[bind(X,$fot(t5))]]) ).
cnf(refute_0_22429,plain,
( and(t3,not(and(a,not(t5)))) != xor(t3,and(a,not(t5)))
| xor(t3,and(a,not(t5))) != and(t3,or(t5,not(a)))
| and(t3,not(and(a,not(t5)))) = and(t3,or(t5,not(a))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t3,not(and(a,not(t5)))))),bind(Y0,$fot(xor(t3,and(a,not(t5))))),bind(Z0,$fot(and(t3,or(t5,not(a)))))]]) ).
cnf(refute_0_22430,plain,
( xor(t3,and(a,not(t5))) != and(t3,or(t5,not(a)))
| and(t3,not(and(a,not(t5)))) = and(t3,or(t5,not(a))) ),
inference(resolve,[$cnf( $equal(and(t3,not(and(a,not(t5)))),xor(t3,and(a,not(t5)))) )],[refute_0_22420,refute_0_22429]) ).
cnf(refute_0_22431,plain,
and(t3,not(and(a,not(t5)))) = and(t3,or(t5,not(a))),
inference(resolve,[$cnf( $equal(xor(t3,and(a,not(t5))),and(t3,or(t5,not(a)))) )],[refute_0_22428,refute_0_22430]) ).
cnf(refute_0_22432,plain,
( and(t3,not(and(a,not(t5)))) != and(t3,or(t5,not(a)))
| and(t3,or(t5,not(a))) != and(t3,or(b,t5))
| and(t3,not(and(a,not(t5)))) = and(t3,or(b,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t3,not(and(a,not(t5)))))),bind(Y0,$fot(and(t3,or(t5,not(a))))),bind(Z0,$fot(and(t3,or(b,t5))))]]) ).
cnf(refute_0_22433,plain,
( and(t3,or(t5,not(a))) != and(t3,or(b,t5))
| and(t3,not(and(a,not(t5)))) = and(t3,or(b,t5)) ),
inference(resolve,[$cnf( $equal(and(t3,not(and(a,not(t5)))),and(t3,or(t5,not(a)))) )],[refute_0_22431,refute_0_22432]) ).
cnf(refute_0_22434,plain,
and(t3,not(and(a,not(t5)))) = and(t3,or(b,t5)),
inference(resolve,[$cnf( $equal(and(t3,or(t5,not(a))),and(t3,or(b,t5))) )],[refute_0_22427,refute_0_22433]) ).
cnf(refute_0_22435,plain,
( and(t3,not(and(a,not(t5)))) != and(t3,or(b,t5))
| and(t3,not(and(a,not(t5)))) != xor(t3,not(or(b,t5)))
| and(t3,or(b,t5)) = xor(t3,not(or(b,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,not(and(a,not(t5)))),xor(t3,not(or(b,t5)))) ),[0],$fot(and(t3,or(b,t5)))]]) ).
cnf(refute_0_22436,plain,
( and(t3,not(and(a,not(t5)))) != xor(t3,not(or(b,t5)))
| and(t3,or(b,t5)) = xor(t3,not(or(b,t5))) ),
inference(resolve,[$cnf( $equal(and(t3,not(and(a,not(t5)))),and(t3,or(b,t5))) )],[refute_0_22434,refute_0_22435]) ).
cnf(refute_0_22437,plain,
xor(t3,not(or(b,t5))) = not(xor(t3,or(b,t5))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t3)),bind(X_334,$fot(or(b,t5)))]]) ).
cnf(refute_0_22438,plain,
( and(t3,or(b,t5)) != xor(t3,not(or(b,t5)))
| xor(t3,not(or(b,t5))) != not(xor(t3,or(b,t5)))
| and(t3,or(b,t5)) = not(xor(t3,or(b,t5))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t3,or(b,t5)),not(xor(t3,or(b,t5)))) ),[0],$fot(xor(t3,not(or(b,t5))))]]) ).
cnf(refute_0_22439,plain,
( and(t3,or(b,t5)) != xor(t3,not(or(b,t5)))
| and(t3,or(b,t5)) = not(xor(t3,or(b,t5))) ),
inference(resolve,[$cnf( $equal(xor(t3,not(or(b,t5))),not(xor(t3,or(b,t5)))) )],[refute_0_22437,refute_0_22438]) ).
cnf(refute_0_22440,plain,
( and(t3,not(and(a,not(t5)))) != xor(t3,not(or(b,t5)))
| and(t3,or(b,t5)) = not(xor(t3,or(b,t5))) ),
inference(resolve,[$cnf( $equal(and(t3,or(b,t5)),xor(t3,not(or(b,t5)))) )],[refute_0_22436,refute_0_22439]) ).
cnf(refute_0_22441,plain,
and(t3,or(b,t5)) = not(xor(t3,or(b,t5))),
inference(resolve,[$cnf( $equal(and(t3,not(and(a,not(t5)))),xor(t3,not(or(b,t5)))) )],[refute_0_22423,refute_0_22440]) ).
cnf(refute_0_22442,plain,
( and(t3,or(b,t5)) != not(xor(t3,or(b,t5)))
| not(xor(t3,or(b,t5))) = and(t3,or(b,t5)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t3,or(b,t5)))),bind(Y0,$fot(not(xor(t3,or(b,t5)))))]]) ).
cnf(refute_0_22443,plain,
not(xor(t3,or(b,t5))) = and(t3,or(b,t5)),
inference(resolve,[$cnf( $equal(and(t3,or(b,t5)),not(xor(t3,or(b,t5)))) )],[refute_0_22441,refute_0_22442]) ).
cnf(refute_0_22444,plain,
( not(not(xor(t3,or(b,t5)))) != xor(t3,or(b,t5))
| not(xor(t3,or(b,t5))) != and(t3,or(b,t5))
| not(and(t3,or(b,t5))) = xor(t3,or(b,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(xor(t3,or(b,t5)))),xor(t3,or(b,t5))) ),[0,0],$fot(and(t3,or(b,t5)))]]) ).
cnf(refute_0_22445,plain,
( not(not(xor(t3,or(b,t5)))) != xor(t3,or(b,t5))
| not(and(t3,or(b,t5))) = xor(t3,or(b,t5)) ),
inference(resolve,[$cnf( $equal(not(xor(t3,or(b,t5))),and(t3,or(b,t5))) )],[refute_0_22443,refute_0_22444]) ).
cnf(refute_0_22446,plain,
not(and(t3,or(b,t5))) = xor(t3,or(b,t5)),
inference(resolve,[$cnf( $equal(not(not(xor(t3,or(b,t5)))),xor(t3,or(b,t5))) )],[refute_0_22419,refute_0_22445]) ).
cnf(refute_0_22447,plain,
not(xor(t4,or(b,t6))) = not(xor(t4,or(b,t6))),
introduced(tautology,[refl,[$fot(not(xor(t4,or(b,t6))))]]) ).
cnf(refute_0_22448,plain,
( not(xor(t4,or(b,t6))) != not(xor(t4,or(b,t6)))
| xor(t4,or(b,t6)) != and(t3,or(b,t5))
| not(xor(t4,or(b,t6))) = not(and(t3,or(b,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t4,or(b,t6))),not(xor(t4,or(b,t6)))) ),[1,0],$fot(and(t3,or(b,t5)))]]) ).
cnf(refute_0_22449,plain,
( xor(t4,or(b,t6)) != and(t3,or(b,t5))
| not(xor(t4,or(b,t6))) = not(and(t3,or(b,t5))) ),
inference(resolve,[$cnf( $equal(not(xor(t4,or(b,t6))),not(xor(t4,or(b,t6)))) )],[refute_0_22447,refute_0_22448]) ).
cnf(refute_0_22450,plain,
not(xor(t4,or(b,t6))) = not(and(t3,or(b,t5))),
inference(resolve,[$cnf( $equal(xor(t4,or(b,t6)),and(t3,or(b,t5))) )],[refute_0_22042,refute_0_22449]) ).
cnf(refute_0_22451,plain,
( not(and(t3,or(b,t5))) != xor(t3,or(b,t5))
| not(xor(t4,or(b,t6))) != not(and(t3,or(b,t5)))
| not(xor(t4,or(b,t6))) = xor(t3,or(b,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t4,or(b,t6))))),bind(Y0,$fot(not(and(t3,or(b,t5))))),bind(Z0,$fot(xor(t3,or(b,t5))))]]) ).
cnf(refute_0_22452,plain,
( not(and(t3,or(b,t5))) != xor(t3,or(b,t5))
| not(xor(t4,or(b,t6))) = xor(t3,or(b,t5)) ),
inference(resolve,[$cnf( $equal(not(xor(t4,or(b,t6))),not(and(t3,or(b,t5)))) )],[refute_0_22450,refute_0_22451]) ).
cnf(refute_0_22453,plain,
not(xor(t4,or(b,t6))) = xor(t3,or(b,t5)),
inference(resolve,[$cnf( $equal(not(and(t3,or(b,t5))),xor(t3,or(b,t5))) )],[refute_0_22446,refute_0_22452]) ).
cnf(refute_0_22454,plain,
( not(xor(t4,or(b,t6))) != and(t4,or(b,t6))
| not(xor(t4,or(b,t6))) != xor(t3,or(b,t5))
| xor(t3,or(b,t5)) = and(t4,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t4,or(b,t6))),and(t4,or(b,t6))) ),[0],$fot(xor(t3,or(b,t5)))]]) ).
cnf(refute_0_22455,plain,
( not(xor(t4,or(b,t6))) != and(t4,or(b,t6))
| xor(t3,or(b,t5)) = and(t4,or(b,t6)) ),
inference(resolve,[$cnf( $equal(not(xor(t4,or(b,t6))),xor(t3,or(b,t5))) )],[refute_0_22453,refute_0_22454]) ).
cnf(refute_0_22456,plain,
xor(t3,or(b,t5)) = and(t4,or(b,t6)),
inference(resolve,[$cnf( $equal(not(xor(t4,or(b,t6))),and(t4,or(b,t6))) )],[refute_0_21490,refute_0_22455]) ).
cnf(refute_0_22457,plain,
( not(and(t3,or(b,t5))) != xor(t3,or(b,t5))
| xor(t3,or(b,t5)) != and(t4,or(b,t6))
| not(and(t3,or(b,t5))) = and(t4,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(t3,or(b,t5))),and(t4,or(b,t6))) ),[0],$fot(xor(t3,or(b,t5)))]]) ).
cnf(refute_0_22458,plain,
( not(and(t3,or(b,t5))) != xor(t3,or(b,t5))
| not(and(t3,or(b,t5))) = and(t4,or(b,t6)) ),
inference(resolve,[$cnf( $equal(xor(t3,or(b,t5)),and(t4,or(b,t6))) )],[refute_0_22456,refute_0_22457]) ).
cnf(refute_0_22459,plain,
not(and(t3,or(b,t5))) = and(t4,or(b,t6)),
inference(resolve,[$cnf( $equal(not(and(t3,or(b,t5))),xor(t3,or(b,t5))) )],[refute_0_22446,refute_0_22458]) ).
cnf(refute_0_22460,plain,
and(not(xor(t5,or(a,t6))),or(t5,not(xor(t5,or(a,t6))))) = not(xor(t5,or(a,t6))),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(not(xor(t5,or(a,t6))))),bind(X_20,$fot(t5))]]) ).
cnf(refute_0_22461,plain,
not(and(xor(t5,or(a,t6)),not(t5))) = not(and(not(t5),xor(t5,or(a,t6)))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(not(t5))),bind(X_32,$fot(xor(t5,or(a,t6))))]]) ).
cnf(refute_0_22462,plain,
and(xor(t5,or(a,t6)),and(cin,xor(t5,or(a,t6)))) = and(xor(t5,or(a,t6)),cin),
inference(subst,[],[refute_0_4181:[bind(Y,$fot(cin)),bind(X_22,$fot(xor(t5,or(a,t6))))]]) ).
cnf(refute_0_22463,plain,
( not(t5) != and(cin,xor(t5,or(a,t6)))
| and(cin,xor(t5,or(a,t6))) = not(t5) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t5))),bind(Y0,$fot(and(cin,xor(t5,or(a,t6)))))]]) ).
cnf(refute_0_22464,plain,
and(cin,xor(t5,or(a,t6))) = not(t5),
inference(resolve,[$cnf( $equal(not(t5),and(cin,xor(t5,or(a,t6)))) )],[refute_0_18033,refute_0_22463]) ).
cnf(refute_0_22465,plain,
( and(cin,xor(t5,or(a,t6))) != not(t5)
| and(xor(t5,or(a,t6)),and(cin,xor(t5,or(a,t6)))) != and(xor(t5,or(a,t6)),cin)
| and(xor(t5,or(a,t6)),not(t5)) = and(xor(t5,or(a,t6)),cin) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t5,or(a,t6)),and(cin,xor(t5,or(a,t6)))),and(xor(t5,or(a,t6)),cin)) ),[0,1],$fot(not(t5))]]) ).
cnf(refute_0_22466,plain,
( and(xor(t5,or(a,t6)),and(cin,xor(t5,or(a,t6)))) != and(xor(t5,or(a,t6)),cin)
| and(xor(t5,or(a,t6)),not(t5)) = and(xor(t5,or(a,t6)),cin) ),
inference(resolve,[$cnf( $equal(and(cin,xor(t5,or(a,t6))),not(t5)) )],[refute_0_22464,refute_0_22465]) ).
cnf(refute_0_22467,plain,
and(xor(t5,or(a,t6)),not(t5)) = and(xor(t5,or(a,t6)),cin),
inference(resolve,[$cnf( $equal(and(xor(t5,or(a,t6)),and(cin,xor(t5,or(a,t6)))),and(xor(t5,or(a,t6)),cin)) )],[refute_0_22462,refute_0_22466]) ).
cnf(refute_0_22468,plain,
and(xor(t5,or(a,t6)),not(t5)) = and(not(t5),xor(t5,or(a,t6))),
inference(subst,[],[refute_0_116:[bind(X,$fot(not(t5))),bind(Y,$fot(xor(t5,or(a,t6))))]]) ).
cnf(refute_0_22469,plain,
( and(xor(t5,or(a,t6)),not(t5)) != and(not(t5),xor(t5,or(a,t6)))
| and(xor(t5,or(a,t6)),not(t5)) != and(xor(t5,or(a,t6)),cin)
| and(not(t5),xor(t5,or(a,t6))) = and(xor(t5,or(a,t6)),cin) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t5,or(a,t6)),not(t5)),and(xor(t5,or(a,t6)),cin)) ),[0],$fot(and(not(t5),xor(t5,or(a,t6))))]]) ).
cnf(refute_0_22470,plain,
( and(xor(t5,or(a,t6)),not(t5)) != and(xor(t5,or(a,t6)),cin)
| and(not(t5),xor(t5,or(a,t6))) = and(xor(t5,or(a,t6)),cin) ),
inference(resolve,[$cnf( $equal(and(xor(t5,or(a,t6)),not(t5)),and(not(t5),xor(t5,or(a,t6)))) )],[refute_0_22468,refute_0_22469]) ).
cnf(refute_0_22471,plain,
and(xor(t5,or(a,t6)),cin) = and(cin,xor(t5,or(a,t6))),
inference(subst,[],[refute_0_116:[bind(X,$fot(cin)),bind(Y,$fot(xor(t5,or(a,t6))))]]) ).
cnf(refute_0_22472,plain,
( and(cin,xor(t5,or(a,t6))) != not(t5)
| and(xor(t5,or(a,t6)),cin) != and(cin,xor(t5,or(a,t6)))
| and(xor(t5,or(a,t6)),cin) = not(t5) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(xor(t5,or(a,t6)),cin))),bind(Y0,$fot(and(cin,xor(t5,or(a,t6))))),bind(Z0,$fot(not(t5)))]]) ).
cnf(refute_0_22473,plain,
( and(cin,xor(t5,or(a,t6))) != not(t5)
| and(xor(t5,or(a,t6)),cin) = not(t5) ),
inference(resolve,[$cnf( $equal(and(xor(t5,or(a,t6)),cin),and(cin,xor(t5,or(a,t6)))) )],[refute_0_22471,refute_0_22472]) ).
cnf(refute_0_22474,plain,
and(xor(t5,or(a,t6)),cin) = not(t5),
inference(resolve,[$cnf( $equal(and(cin,xor(t5,or(a,t6))),not(t5)) )],[refute_0_22464,refute_0_22473]) ).
cnf(refute_0_22475,plain,
( and(not(t5),xor(t5,or(a,t6))) != and(xor(t5,or(a,t6)),cin)
| and(xor(t5,or(a,t6)),cin) != not(t5)
| and(not(t5),xor(t5,or(a,t6))) = not(t5) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(t5),xor(t5,or(a,t6))),not(t5)) ),[0],$fot(and(xor(t5,or(a,t6)),cin))]]) ).
cnf(refute_0_22476,plain,
( and(not(t5),xor(t5,or(a,t6))) != and(xor(t5,or(a,t6)),cin)
| and(not(t5),xor(t5,or(a,t6))) = not(t5) ),
inference(resolve,[$cnf( $equal(and(xor(t5,or(a,t6)),cin),not(t5)) )],[refute_0_22474,refute_0_22475]) ).
cnf(refute_0_22477,plain,
( and(xor(t5,or(a,t6)),not(t5)) != and(xor(t5,or(a,t6)),cin)
| and(not(t5),xor(t5,or(a,t6))) = not(t5) ),
inference(resolve,[$cnf( $equal(and(not(t5),xor(t5,or(a,t6))),and(xor(t5,or(a,t6)),cin)) )],[refute_0_22470,refute_0_22476]) ).
cnf(refute_0_22478,plain,
and(not(t5),xor(t5,or(a,t6))) = not(t5),
inference(resolve,[$cnf( $equal(and(xor(t5,or(a,t6)),not(t5)),and(xor(t5,or(a,t6)),cin)) )],[refute_0_22467,refute_0_22477]) ).
cnf(refute_0_22479,plain,
( and(not(t5),xor(t5,or(a,t6))) != not(t5)
| not(and(xor(t5,or(a,t6)),not(t5))) != not(and(not(t5),xor(t5,or(a,t6))))
| not(and(xor(t5,or(a,t6)),not(t5))) = not(not(t5)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(xor(t5,or(a,t6)),not(t5))),not(and(not(t5),xor(t5,or(a,t6))))) ),[1,0],$fot(not(t5))]]) ).
cnf(refute_0_22480,plain,
( not(and(xor(t5,or(a,t6)),not(t5))) != not(and(not(t5),xor(t5,or(a,t6))))
| not(and(xor(t5,or(a,t6)),not(t5))) = not(not(t5)) ),
inference(resolve,[$cnf( $equal(and(not(t5),xor(t5,or(a,t6))),not(t5)) )],[refute_0_22478,refute_0_22479]) ).
cnf(refute_0_22481,plain,
not(and(xor(t5,or(a,t6)),not(t5))) = not(not(t5)),
inference(resolve,[$cnf( $equal(not(and(xor(t5,or(a,t6)),not(t5))),not(and(not(t5),xor(t5,or(a,t6))))) )],[refute_0_22461,refute_0_22480]) ).
cnf(refute_0_22482,plain,
not(and(not(t5),xor(t5,or(a,t6)))) = or(t5,not(xor(t5,or(a,t6)))),
inference(subst,[],[refute_0_787:[bind(X,$fot(t5)),bind(X_32,$fot(xor(t5,or(a,t6))))]]) ).
cnf(refute_0_22483,plain,
( not(and(not(t5),xor(t5,or(a,t6)))) != or(t5,not(xor(t5,or(a,t6))))
| not(and(xor(t5,or(a,t6)),not(t5))) != not(and(not(t5),xor(t5,or(a,t6))))
| not(and(xor(t5,or(a,t6)),not(t5))) = or(t5,not(xor(t5,or(a,t6)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(xor(t5,or(a,t6)),not(t5))))),bind(Y0,$fot(not(and(not(t5),xor(t5,or(a,t6)))))),bind(Z0,$fot(or(t5,not(xor(t5,or(a,t6))))))]]) ).
cnf(refute_0_22484,plain,
( not(and(not(t5),xor(t5,or(a,t6)))) != or(t5,not(xor(t5,or(a,t6))))
| not(and(xor(t5,or(a,t6)),not(t5))) = or(t5,not(xor(t5,or(a,t6)))) ),
inference(resolve,[$cnf( $equal(not(and(xor(t5,or(a,t6)),not(t5))),not(and(not(t5),xor(t5,or(a,t6))))) )],[refute_0_22461,refute_0_22483]) ).
cnf(refute_0_22485,plain,
not(and(xor(t5,or(a,t6)),not(t5))) = or(t5,not(xor(t5,or(a,t6)))),
inference(resolve,[$cnf( $equal(not(and(not(t5),xor(t5,or(a,t6)))),or(t5,not(xor(t5,or(a,t6))))) )],[refute_0_22482,refute_0_22484]) ).
cnf(refute_0_22486,plain,
( not(and(xor(t5,or(a,t6)),not(t5))) != not(not(t5))
| not(and(xor(t5,or(a,t6)),not(t5))) != or(t5,not(xor(t5,or(a,t6))))
| or(t5,not(xor(t5,or(a,t6)))) = not(not(t5)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(xor(t5,or(a,t6)),not(t5))),not(not(t5))) ),[0],$fot(or(t5,not(xor(t5,or(a,t6)))))]]) ).
cnf(refute_0_22487,plain,
( not(and(xor(t5,or(a,t6)),not(t5))) != not(not(t5))
| or(t5,not(xor(t5,or(a,t6)))) = not(not(t5)) ),
inference(resolve,[$cnf( $equal(not(and(xor(t5,or(a,t6)),not(t5))),or(t5,not(xor(t5,or(a,t6))))) )],[refute_0_22485,refute_0_22486]) ).
cnf(refute_0_22488,plain,
( not(not(t5)) != t5
| or(t5,not(xor(t5,or(a,t6)))) != not(not(t5))
| or(t5,not(xor(t5,or(a,t6)))) = t5 ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,not(xor(t5,or(a,t6)))),not(not(t5))) ),[1],$fot(t5)]]) ).
cnf(refute_0_22489,plain,
( or(t5,not(xor(t5,or(a,t6)))) != not(not(t5))
| or(t5,not(xor(t5,or(a,t6)))) = t5 ),
inference(resolve,[$cnf( $equal(not(not(t5)),t5) )],[refute_0_4051,refute_0_22488]) ).
cnf(refute_0_22490,plain,
( not(and(xor(t5,or(a,t6)),not(t5))) != not(not(t5))
| or(t5,not(xor(t5,or(a,t6)))) = t5 ),
inference(resolve,[$cnf( $equal(or(t5,not(xor(t5,or(a,t6)))),not(not(t5))) )],[refute_0_22487,refute_0_22489]) ).
cnf(refute_0_22491,plain,
or(t5,not(xor(t5,or(a,t6)))) = t5,
inference(resolve,[$cnf( $equal(not(and(xor(t5,or(a,t6)),not(t5))),not(not(t5))) )],[refute_0_22481,refute_0_22490]) ).
cnf(refute_0_22492,plain,
( and(not(xor(t5,or(a,t6))),or(t5,not(xor(t5,or(a,t6))))) != not(xor(t5,or(a,t6)))
| or(t5,not(xor(t5,or(a,t6)))) != t5
| and(not(xor(t5,or(a,t6))),t5) = not(xor(t5,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(xor(t5,or(a,t6))),or(t5,not(xor(t5,or(a,t6))))),not(xor(t5,or(a,t6)))) ),[0,1],$fot(t5)]]) ).
cnf(refute_0_22493,plain,
( and(not(xor(t5,or(a,t6))),or(t5,not(xor(t5,or(a,t6))))) != not(xor(t5,or(a,t6)))
| and(not(xor(t5,or(a,t6))),t5) = not(xor(t5,or(a,t6))) ),
inference(resolve,[$cnf( $equal(or(t5,not(xor(t5,or(a,t6)))),t5) )],[refute_0_22491,refute_0_22492]) ).
cnf(refute_0_22494,plain,
and(not(xor(t5,or(a,t6))),t5) = not(xor(t5,or(a,t6))),
inference(resolve,[$cnf( $equal(and(not(xor(t5,or(a,t6))),or(t5,not(xor(t5,or(a,t6))))),not(xor(t5,or(a,t6)))) )],[refute_0_22460,refute_0_22493]) ).
cnf(refute_0_22495,plain,
and(not(xor(t5,or(a,t6))),t5) = and(t5,not(xor(t5,or(a,t6)))),
inference(subst,[],[refute_0_116:[bind(X,$fot(t5)),bind(Y,$fot(not(xor(t5,or(a,t6)))))]]) ).
cnf(refute_0_22496,plain,
( and(not(xor(t5,or(a,t6))),t5) != and(t5,not(xor(t5,or(a,t6))))
| and(not(xor(t5,or(a,t6))),t5) != not(xor(t5,or(a,t6)))
| and(t5,not(xor(t5,or(a,t6)))) = not(xor(t5,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(xor(t5,or(a,t6))),t5),not(xor(t5,or(a,t6)))) ),[0],$fot(and(t5,not(xor(t5,or(a,t6)))))]]) ).
cnf(refute_0_22497,plain,
( and(not(xor(t5,or(a,t6))),t5) != not(xor(t5,or(a,t6)))
| and(t5,not(xor(t5,or(a,t6)))) = not(xor(t5,or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(not(xor(t5,or(a,t6))),t5),and(t5,not(xor(t5,or(a,t6))))) )],[refute_0_22495,refute_0_22496]) ).
cnf(refute_0_22498,plain,
and(t5,not(xor(t5,or(a,t6)))) = not(xor(t5,or(a,t6))),
inference(resolve,[$cnf( $equal(and(not(xor(t5,or(a,t6))),t5),not(xor(t5,or(a,t6)))) )],[refute_0_22494,refute_0_22497]) ).
cnf(refute_0_22499,plain,
and(t5,or(b,t5)) = t5,
inference(subst,[],[refute_0_214:[bind(X_19,$fot(t5)),bind(X_20,$fot(b))]]) ).
cnf(refute_0_22500,plain,
and(t3,and(t5,or(b,t5))) = and(t3,and(t5,or(b,t5))),
introduced(tautology,[refl,[$fot(and(t3,and(t5,or(b,t5))))]]) ).
cnf(refute_0_22501,plain,
( and(t3,and(t5,or(b,t5))) != and(t3,and(t5,or(b,t5)))
| and(t5,or(b,t5)) != t5
| and(t3,and(t5,or(b,t5))) = and(t3,t5) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,and(t5,or(b,t5))),and(t3,and(t5,or(b,t5)))) ),[1,1],$fot(t5)]]) ).
cnf(refute_0_22502,plain,
( and(t5,or(b,t5)) != t5
| and(t3,and(t5,or(b,t5))) = and(t3,t5) ),
inference(resolve,[$cnf( $equal(and(t3,and(t5,or(b,t5))),and(t3,and(t5,or(b,t5)))) )],[refute_0_22500,refute_0_22501]) ).
cnf(refute_0_22503,plain,
and(t3,and(t5,or(b,t5))) = and(t3,t5),
inference(resolve,[$cnf( $equal(and(t5,or(b,t5)),t5) )],[refute_0_22499,refute_0_22502]) ).
cnf(refute_0_22504,plain,
and(t5,and(t3,or(b,t5))) = and(t3,and(t5,or(b,t5))),
inference(subst,[],[refute_0_4220:[bind(X,$fot(t3)),bind(Z,$fot(or(b,t5))),bind(X_669,$fot(t5))]]) ).
cnf(refute_0_22505,plain,
( and(t3,and(t5,or(b,t5))) != and(t3,t5)
| and(t5,and(t3,or(b,t5))) != and(t3,and(t5,or(b,t5)))
| and(t5,and(t3,or(b,t5))) = and(t3,t5) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t5,and(t3,or(b,t5))))),bind(Y0,$fot(and(t3,and(t5,or(b,t5))))),bind(Z0,$fot(and(t3,t5)))]]) ).
cnf(refute_0_22506,plain,
( and(t3,and(t5,or(b,t5))) != and(t3,t5)
| and(t5,and(t3,or(b,t5))) = and(t3,t5) ),
inference(resolve,[$cnf( $equal(and(t5,and(t3,or(b,t5))),and(t3,and(t5,or(b,t5)))) )],[refute_0_22504,refute_0_22505]) ).
cnf(refute_0_22507,plain,
and(t5,and(t3,or(b,t5))) = and(t3,t5),
inference(resolve,[$cnf( $equal(and(t3,and(t5,or(b,t5))),and(t3,t5)) )],[refute_0_22503,refute_0_22506]) ).
cnf(refute_0_22508,plain,
( not(and(t4,or(b,t6))) != xor(t4,or(b,t6))
| xor(t4,or(b,t6)) != and(t3,or(b,t5))
| not(and(t4,or(b,t6))) = and(t3,or(b,t5)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(t4,or(b,t6))),and(t3,or(b,t5))) ),[0],$fot(xor(t4,or(b,t6)))]]) ).
cnf(refute_0_22509,plain,
( not(and(t4,or(b,t6))) != xor(t4,or(b,t6))
| not(and(t4,or(b,t6))) = and(t3,or(b,t5)) ),
inference(resolve,[$cnf( $equal(xor(t4,or(b,t6)),and(t3,or(b,t5))) )],[refute_0_22042,refute_0_22508]) ).
cnf(refute_0_22510,plain,
not(and(t4,or(b,t6))) = and(t3,or(b,t5)),
inference(resolve,[$cnf( $equal(not(and(t4,or(b,t6))),xor(t4,or(b,t6))) )],[refute_0_21346,refute_0_22509]) ).
cnf(refute_0_22511,plain,
( and(t4,or(b,t6)) != xor(t5,or(a,t6))
| xor(t5,or(a,t6)) = and(t4,or(b,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t4,or(b,t6)))),bind(Y0,$fot(xor(t5,or(a,t6))))]]) ).
cnf(refute_0_22512,plain,
xor(t5,or(a,t6)) = and(t4,or(b,t6)),
inference(resolve,[$cnf( $equal(and(t4,or(b,t6)),xor(t5,or(a,t6))) )],[refute_0_22418,refute_0_22511]) ).
cnf(refute_0_22513,plain,
not(xor(t5,or(a,t6))) = not(xor(t5,or(a,t6))),
introduced(tautology,[refl,[$fot(not(xor(t5,or(a,t6))))]]) ).
cnf(refute_0_22514,plain,
( not(xor(t5,or(a,t6))) != not(xor(t5,or(a,t6)))
| xor(t5,or(a,t6)) != and(t4,or(b,t6))
| not(xor(t5,or(a,t6))) = not(and(t4,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t5,or(a,t6))),not(xor(t5,or(a,t6)))) ),[1,0],$fot(and(t4,or(b,t6)))]]) ).
cnf(refute_0_22515,plain,
( xor(t5,or(a,t6)) != and(t4,or(b,t6))
| not(xor(t5,or(a,t6))) = not(and(t4,or(b,t6))) ),
inference(resolve,[$cnf( $equal(not(xor(t5,or(a,t6))),not(xor(t5,or(a,t6)))) )],[refute_0_22513,refute_0_22514]) ).
cnf(refute_0_22516,plain,
not(xor(t5,or(a,t6))) = not(and(t4,or(b,t6))),
inference(resolve,[$cnf( $equal(xor(t5,or(a,t6)),and(t4,or(b,t6))) )],[refute_0_22512,refute_0_22515]) ).
cnf(refute_0_22517,plain,
( not(and(t4,or(b,t6))) != and(t3,or(b,t5))
| not(xor(t5,or(a,t6))) != not(and(t4,or(b,t6)))
| not(xor(t5,or(a,t6))) = and(t3,or(b,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t5,or(a,t6))))),bind(Y0,$fot(not(and(t4,or(b,t6))))),bind(Z0,$fot(and(t3,or(b,t5))))]]) ).
cnf(refute_0_22518,plain,
( not(and(t4,or(b,t6))) != and(t3,or(b,t5))
| not(xor(t5,or(a,t6))) = and(t3,or(b,t5)) ),
inference(resolve,[$cnf( $equal(not(xor(t5,or(a,t6))),not(and(t4,or(b,t6)))) )],[refute_0_22516,refute_0_22517]) ).
cnf(refute_0_22519,plain,
not(xor(t5,or(a,t6))) = and(t3,or(b,t5)),
inference(resolve,[$cnf( $equal(not(and(t4,or(b,t6))),and(t3,or(b,t5))) )],[refute_0_22510,refute_0_22518]) ).
cnf(refute_0_22520,plain,
and(t5,not(xor(t5,or(a,t6)))) = and(t5,not(xor(t5,or(a,t6)))),
introduced(tautology,[refl,[$fot(and(t5,not(xor(t5,or(a,t6)))))]]) ).
cnf(refute_0_22521,plain,
( and(t5,not(xor(t5,or(a,t6)))) != and(t5,not(xor(t5,or(a,t6))))
| not(xor(t5,or(a,t6))) != and(t3,or(b,t5))
| and(t5,not(xor(t5,or(a,t6)))) = and(t5,and(t3,or(b,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,not(xor(t5,or(a,t6)))),and(t5,not(xor(t5,or(a,t6))))) ),[1,1],$fot(and(t3,or(b,t5)))]]) ).
cnf(refute_0_22522,plain,
( not(xor(t5,or(a,t6))) != and(t3,or(b,t5))
| and(t5,not(xor(t5,or(a,t6)))) = and(t5,and(t3,or(b,t5))) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t5,or(a,t6)))),and(t5,not(xor(t5,or(a,t6))))) )],[refute_0_22520,refute_0_22521]) ).
cnf(refute_0_22523,plain,
and(t5,not(xor(t5,or(a,t6)))) = and(t5,and(t3,or(b,t5))),
inference(resolve,[$cnf( $equal(not(xor(t5,or(a,t6))),and(t3,or(b,t5))) )],[refute_0_22519,refute_0_22522]) ).
cnf(refute_0_22524,plain,
( and(t5,and(t3,or(b,t5))) != and(t3,t5)
| and(t5,not(xor(t5,or(a,t6)))) != and(t5,and(t3,or(b,t5)))
| and(t5,not(xor(t5,or(a,t6)))) = and(t3,t5) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t5,not(xor(t5,or(a,t6)))))),bind(Y0,$fot(and(t5,and(t3,or(b,t5))))),bind(Z0,$fot(and(t3,t5)))]]) ).
cnf(refute_0_22525,plain,
( and(t5,and(t3,or(b,t5))) != and(t3,t5)
| and(t5,not(xor(t5,or(a,t6)))) = and(t3,t5) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t5,or(a,t6)))),and(t5,and(t3,or(b,t5)))) )],[refute_0_22523,refute_0_22524]) ).
cnf(refute_0_22526,plain,
and(t5,not(xor(t5,or(a,t6)))) = and(t3,t5),
inference(resolve,[$cnf( $equal(and(t5,and(t3,or(b,t5))),and(t3,t5)) )],[refute_0_22507,refute_0_22525]) ).
cnf(refute_0_22527,plain,
( and(t5,not(xor(t5,or(a,t6)))) != and(t3,t5)
| and(t5,not(xor(t5,or(a,t6)))) != not(xor(t5,or(a,t6)))
| and(t3,t5) = not(xor(t5,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,not(xor(t5,or(a,t6)))),not(xor(t5,or(a,t6)))) ),[0],$fot(and(t3,t5))]]) ).
cnf(refute_0_22528,plain,
( and(t5,not(xor(t5,or(a,t6)))) != not(xor(t5,or(a,t6)))
| and(t3,t5) = not(xor(t5,or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t5,or(a,t6)))),and(t3,t5)) )],[refute_0_22526,refute_0_22527]) ).
cnf(refute_0_22529,plain,
( and(t3,t5) != not(xor(t5,or(a,t6)))
| not(xor(t5,or(a,t6))) != and(t3,or(b,t5))
| and(t3,t5) = and(t3,or(b,t5)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t3,t5),and(t3,or(b,t5))) ),[0],$fot(not(xor(t5,or(a,t6))))]]) ).
cnf(refute_0_22530,plain,
( and(t3,t5) != not(xor(t5,or(a,t6)))
| and(t3,t5) = and(t3,or(b,t5)) ),
inference(resolve,[$cnf( $equal(not(xor(t5,or(a,t6))),and(t3,or(b,t5))) )],[refute_0_22519,refute_0_22529]) ).
cnf(refute_0_22531,plain,
( and(t5,not(xor(t5,or(a,t6)))) != not(xor(t5,or(a,t6)))
| and(t3,t5) = and(t3,or(b,t5)) ),
inference(resolve,[$cnf( $equal(and(t3,t5),not(xor(t5,or(a,t6)))) )],[refute_0_22528,refute_0_22530]) ).
cnf(refute_0_22532,plain,
and(t3,t5) = and(t3,or(b,t5)),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t5,or(a,t6)))),not(xor(t5,or(a,t6)))) )],[refute_0_22498,refute_0_22531]) ).
cnf(refute_0_22533,plain,
( and(t3,t5) != and(t3,or(b,t5))
| and(t3,or(b,t5)) = and(t3,t5) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t3,t5))),bind(Y0,$fot(and(t3,or(b,t5))))]]) ).
cnf(refute_0_22534,plain,
and(t3,or(b,t5)) = and(t3,t5),
inference(resolve,[$cnf( $equal(and(t3,t5),and(t3,or(b,t5))) )],[refute_0_22532,refute_0_22533]) ).
cnf(refute_0_22535,plain,
not(and(t3,or(b,t5))) = not(and(t3,or(b,t5))),
introduced(tautology,[refl,[$fot(not(and(t3,or(b,t5))))]]) ).
cnf(refute_0_22536,plain,
( and(t3,or(b,t5)) != and(t3,t5)
| not(and(t3,or(b,t5))) != not(and(t3,or(b,t5)))
| not(and(t3,or(b,t5))) = not(and(t3,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(t3,or(b,t5))),not(and(t3,or(b,t5)))) ),[1,0],$fot(and(t3,t5))]]) ).
cnf(refute_0_22537,plain,
( and(t3,or(b,t5)) != and(t3,t5)
| not(and(t3,or(b,t5))) = not(and(t3,t5)) ),
inference(resolve,[$cnf( $equal(not(and(t3,or(b,t5))),not(and(t3,or(b,t5)))) )],[refute_0_22535,refute_0_22536]) ).
cnf(refute_0_22538,plain,
not(and(t3,or(b,t5))) = not(and(t3,t5)),
inference(resolve,[$cnf( $equal(and(t3,or(b,t5)),and(t3,t5)) )],[refute_0_22534,refute_0_22537]) ).
cnf(refute_0_22539,plain,
( not(and(t3,or(b,t5))) != and(t4,or(b,t6))
| not(and(t3,or(b,t5))) != not(and(t3,t5))
| not(and(t3,t5)) = and(t4,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(t3,or(b,t5))),and(t4,or(b,t6))) ),[0],$fot(not(and(t3,t5)))]]) ).
cnf(refute_0_22540,plain,
( not(and(t3,or(b,t5))) != and(t4,or(b,t6))
| not(and(t3,t5)) = and(t4,or(b,t6)) ),
inference(resolve,[$cnf( $equal(not(and(t3,or(b,t5))),not(and(t3,t5))) )],[refute_0_22538,refute_0_22539]) ).
cnf(refute_0_22541,plain,
not(and(t3,t5)) = and(t4,or(b,t6)),
inference(resolve,[$cnf( $equal(not(and(t3,or(b,t5))),and(t4,or(b,t6))) )],[refute_0_22459,refute_0_22540]) ).
cnf(refute_0_22542,plain,
( not(and(t3,t5)) != and(t4,or(b,t6))
| and(t4,or(b,t6)) = not(and(t3,t5)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(t3,t5)))),bind(Y0,$fot(and(t4,or(b,t6))))]]) ).
cnf(refute_0_22543,plain,
and(t4,or(b,t6)) = not(and(t3,t5)),
inference(resolve,[$cnf( $equal(not(and(t3,t5)),and(t4,or(b,t6))) )],[refute_0_22541,refute_0_22542]) ).
cnf(refute_0_22544,plain,
( and(t4,or(b,t6)) != not(and(t3,t5))
| and(t4,or(b,t6)) != xor(t5,or(a,t6))
| not(and(t3,t5)) = xor(t5,or(a,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,or(b,t6)),xor(t5,or(a,t6))) ),[0],$fot(not(and(t3,t5)))]]) ).
cnf(refute_0_22545,plain,
( and(t4,or(b,t6)) != xor(t5,or(a,t6))
| not(and(t3,t5)) = xor(t5,or(a,t6)) ),
inference(resolve,[$cnf( $equal(and(t4,or(b,t6)),not(and(t3,t5))) )],[refute_0_22543,refute_0_22544]) ).
cnf(refute_0_22546,plain,
not(and(t3,t5)) = xor(t5,or(a,t6)),
inference(resolve,[$cnf( $equal(and(t4,or(b,t6)),xor(t5,or(a,t6))) )],[refute_0_22418,refute_0_22545]) ).
cnf(refute_0_22547,plain,
( not(and(t3,t5)) != xor(t5,or(a,t6))
| xor(t5,or(a,t6)) = not(and(t3,t5)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(t3,t5)))),bind(Y0,$fot(xor(t5,or(a,t6))))]]) ).
cnf(refute_0_22548,plain,
xor(t5,or(a,t6)) = not(and(t3,t5)),
inference(resolve,[$cnf( $equal(not(and(t3,t5)),xor(t5,or(a,t6))) )],[refute_0_22546,refute_0_22547]) ).
cnf(refute_0_22549,plain,
and(cin,xor(t5,or(a,t6))) = and(cin,xor(t5,or(a,t6))),
introduced(tautology,[refl,[$fot(and(cin,xor(t5,or(a,t6))))]]) ).
cnf(refute_0_22550,plain,
( and(cin,xor(t5,or(a,t6))) != and(cin,xor(t5,or(a,t6)))
| xor(t5,or(a,t6)) != not(and(t3,t5))
| and(cin,xor(t5,or(a,t6))) = and(cin,not(and(t3,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,xor(t5,or(a,t6))),and(cin,xor(t5,or(a,t6)))) ),[1,1],$fot(not(and(t3,t5)))]]) ).
cnf(refute_0_22551,plain,
( xor(t5,or(a,t6)) != not(and(t3,t5))
| and(cin,xor(t5,or(a,t6))) = and(cin,not(and(t3,t5))) ),
inference(resolve,[$cnf( $equal(and(cin,xor(t5,or(a,t6))),and(cin,xor(t5,or(a,t6)))) )],[refute_0_22549,refute_0_22550]) ).
cnf(refute_0_22552,plain,
and(cin,xor(t5,or(a,t6))) = and(cin,not(and(t3,t5))),
inference(resolve,[$cnf( $equal(xor(t5,or(a,t6)),not(and(t3,t5))) )],[refute_0_22548,refute_0_22551]) ).
cnf(refute_0_22553,plain,
( and(cin,xor(t5,or(a,t6))) != and(cin,not(and(t3,t5)))
| not(t5) != and(cin,xor(t5,or(a,t6)))
| not(t5) = and(cin,not(and(t3,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(not(t5),and(cin,xor(t5,or(a,t6)))) ),[1],$fot(and(cin,not(and(t3,t5))))]]) ).
cnf(refute_0_22554,plain,
( not(t5) != and(cin,xor(t5,or(a,t6)))
| not(t5) = and(cin,not(and(t3,t5))) ),
inference(resolve,[$cnf( $equal(and(cin,xor(t5,or(a,t6))),and(cin,not(and(t3,t5)))) )],[refute_0_22552,refute_0_22553]) ).
cnf(refute_0_22555,plain,
not(t5) = and(cin,not(and(t3,t5))),
inference(resolve,[$cnf( $equal(not(t5),and(cin,xor(t5,or(a,t6)))) )],[refute_0_18033,refute_0_22554]) ).
cnf(refute_0_22556,plain,
( not(t5) != and(cin,not(and(t3,t5)))
| and(cin,not(and(t3,t5))) = not(t5) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t5))),bind(Y0,$fot(and(cin,not(and(t3,t5)))))]]) ).
cnf(refute_0_22557,plain,
and(cin,not(and(t3,t5))) = not(t5),
inference(resolve,[$cnf( $equal(not(t5),and(cin,not(and(t3,t5)))) )],[refute_0_22555,refute_0_22556]) ).
cnf(refute_0_22558,plain,
( and(cin,not(and(t3,t5))) != not(t5)
| or(and(cin,not(and(t3,t5))),and(not(cin),and(t3,t5))) != xor(cin,and(t3,t5))
| or(not(t5),and(not(cin),and(t3,t5))) = xor(cin,and(t3,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(cin,not(and(t3,t5))),and(not(cin),and(t3,t5))),xor(cin,and(t3,t5))) ),[0,0],$fot(not(t5))]]) ).
cnf(refute_0_22559,plain,
( or(and(cin,not(and(t3,t5))),and(not(cin),and(t3,t5))) != xor(cin,and(t3,t5))
| or(not(t5),and(not(cin),and(t3,t5))) = xor(cin,and(t3,t5)) ),
inference(resolve,[$cnf( $equal(and(cin,not(and(t3,t5))),not(t5)) )],[refute_0_22557,refute_0_22558]) ).
cnf(refute_0_22560,plain,
or(not(t5),and(not(cin),and(t3,t5))) = xor(cin,and(t3,t5)),
inference(resolve,[$cnf( $equal(or(and(cin,not(and(t3,t5))),and(not(cin),and(t3,t5))),xor(cin,and(t3,t5))) )],[refute_0_17817,refute_0_22559]) ).
cnf(refute_0_22561,plain,
or(or(cin,not(t5)),X_39) = or(cin,or(not(t5),X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(cin)),bind(Y,$fot(not(t5))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_22562,plain,
( or(cin,not(t5)) != cin
| or(or(cin,not(t5)),X_39) != or(cin,or(not(t5),X_39))
| or(cin,X_39) = or(cin,or(not(t5),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(cin,not(t5)),X_39),or(cin,or(not(t5),X_39))) ),[0,0],$fot(cin)]]) ).
cnf(refute_0_22563,plain,
( or(or(cin,not(t5)),X_39) != or(cin,or(not(t5),X_39))
| or(cin,X_39) = or(cin,or(not(t5),X_39)) ),
inference(resolve,[$cnf( $equal(or(cin,not(t5)),cin) )],[refute_0_2280,refute_0_22562]) ).
cnf(refute_0_22564,plain,
or(cin,X_39) = or(cin,or(not(t5),X_39)),
inference(resolve,[$cnf( $equal(or(or(cin,not(t5)),X_39),or(cin,or(not(t5),X_39))) )],[refute_0_22561,refute_0_22563]) ).
cnf(refute_0_22565,plain,
or(cin,X_462) = or(cin,or(not(t5),X_462)),
inference(subst,[],[refute_0_22564:[bind(X_39,$fot(X_462))]]) ).
cnf(refute_0_22566,plain,
or(X_462,not(t5)) = or(not(t5),X_462),
inference(subst,[],[or_commutative:[bind(X,$fot(X_462)),bind(Y,$fot(not(t5)))]]) ).
cnf(refute_0_22567,plain,
( or(X_462,not(t5)) != or(not(t5),X_462)
| or(not(t5),X_462) = or(X_462,not(t5)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(X_462,not(t5)))),bind(Y0,$fot(or(not(t5),X_462)))]]) ).
cnf(refute_0_22568,plain,
or(not(t5),X_462) = or(X_462,not(t5)),
inference(resolve,[$cnf( $equal(or(X_462,not(t5)),or(not(t5),X_462)) )],[refute_0_22566,refute_0_22567]) ).
cnf(refute_0_22569,plain,
( or(cin,X_462) != or(cin,or(not(t5),X_462))
| or(not(t5),X_462) != or(X_462,not(t5))
| or(cin,X_462) = or(cin,or(X_462,not(t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,X_462),or(cin,or(not(t5),X_462))) ),[1,1],$fot(or(X_462,not(t5)))]]) ).
cnf(refute_0_22570,plain,
( or(cin,X_462) != or(cin,or(not(t5),X_462))
| or(cin,X_462) = or(cin,or(X_462,not(t5))) ),
inference(resolve,[$cnf( $equal(or(not(t5),X_462),or(X_462,not(t5))) )],[refute_0_22568,refute_0_22569]) ).
cnf(refute_0_22571,plain,
or(cin,X_462) = or(cin,or(X_462,not(t5))),
inference(resolve,[$cnf( $equal(or(cin,X_462),or(cin,or(not(t5),X_462))) )],[refute_0_22565,refute_0_22570]) ).
cnf(refute_0_22572,plain,
or(cin,not(X)) = or(cin,or(not(X),not(t5))),
inference(subst,[],[refute_0_22571:[bind(X_462,$fot(not(X)))]]) ).
cnf(refute_0_22573,plain,
not(and(X,t5)) = or(not(X),not(t5)),
inference(subst,[],[and_demorgan:[bind(Y,$fot(t5))]]) ).
cnf(refute_0_22574,plain,
( not(and(X,t5)) != or(not(X),not(t5))
| or(not(X),not(t5)) = not(and(X,t5)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(X,t5)))),bind(Y0,$fot(or(not(X),not(t5))))]]) ).
cnf(refute_0_22575,plain,
or(not(X),not(t5)) = not(and(X,t5)),
inference(resolve,[$cnf( $equal(not(and(X,t5)),or(not(X),not(t5))) )],[refute_0_22573,refute_0_22574]) ).
cnf(refute_0_22576,plain,
( or(cin,not(X)) != or(cin,or(not(X),not(t5)))
| or(not(X),not(t5)) != not(and(X,t5))
| or(cin,not(X)) = or(cin,not(and(X,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,not(X)),or(cin,or(not(X),not(t5)))) ),[1,1],$fot(not(and(X,t5)))]]) ).
cnf(refute_0_22577,plain,
( or(cin,not(X)) != or(cin,or(not(X),not(t5)))
| or(cin,not(X)) = or(cin,not(and(X,t5))) ),
inference(resolve,[$cnf( $equal(or(not(X),not(t5)),not(and(X,t5))) )],[refute_0_22575,refute_0_22576]) ).
cnf(refute_0_22578,plain,
or(cin,not(X)) = or(cin,not(and(X,t5))),
inference(resolve,[$cnf( $equal(or(cin,not(X)),or(cin,or(not(X),not(t5)))) )],[refute_0_22572,refute_0_22577]) ).
cnf(refute_0_22579,plain,
( or(cin,not(X)) != or(cin,not(and(X,t5)))
| or(cin,not(and(X,t5))) = or(cin,not(X)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(cin,not(X)))),bind(Y0,$fot(or(cin,not(and(X,t5)))))]]) ).
cnf(refute_0_22580,plain,
or(cin,not(and(X,t5))) = or(cin,not(X)),
inference(resolve,[$cnf( $equal(or(cin,not(X)),or(cin,not(and(X,t5)))) )],[refute_0_22578,refute_0_22579]) ).
cnf(refute_0_22581,plain,
or(cin,not(and(t3,t5))) = or(cin,not(t3)),
inference(subst,[],[refute_0_22580:[bind(X,$fot(t3))]]) ).
cnf(refute_0_22582,plain,
and(t5,or(cin,not(and(t3,t5)))) = and(t5,or(cin,not(and(t3,t5)))),
introduced(tautology,[refl,[$fot(and(t5,or(cin,not(and(t3,t5)))))]]) ).
cnf(refute_0_22583,plain,
( and(t5,or(cin,not(and(t3,t5)))) != and(t5,or(cin,not(and(t3,t5))))
| or(cin,not(and(t3,t5))) != or(cin,not(t3))
| and(t5,or(cin,not(and(t3,t5)))) = and(t5,or(cin,not(t3))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,or(cin,not(and(t3,t5)))),and(t5,or(cin,not(and(t3,t5))))) ),[1,1],$fot(or(cin,not(t3)))]]) ).
cnf(refute_0_22584,plain,
( or(cin,not(and(t3,t5))) != or(cin,not(t3))
| and(t5,or(cin,not(and(t3,t5)))) = and(t5,or(cin,not(t3))) ),
inference(resolve,[$cnf( $equal(and(t5,or(cin,not(and(t3,t5)))),and(t5,or(cin,not(and(t3,t5))))) )],[refute_0_22582,refute_0_22583]) ).
cnf(refute_0_22585,plain,
and(t5,or(cin,not(and(t3,t5)))) = and(t5,or(cin,not(t3))),
inference(resolve,[$cnf( $equal(or(cin,not(and(t3,t5))),or(cin,not(t3))) )],[refute_0_22581,refute_0_22584]) ).
cnf(refute_0_22586,plain,
not(and(t5,or(cin,not(and(t3,t5))))) = not(and(t5,or(cin,not(and(t3,t5))))),
introduced(tautology,[refl,[$fot(not(and(t5,or(cin,not(and(t3,t5))))))]]) ).
cnf(refute_0_22587,plain,
( and(t5,or(cin,not(and(t3,t5)))) != and(t5,or(cin,not(t3)))
| not(and(t5,or(cin,not(and(t3,t5))))) != not(and(t5,or(cin,not(and(t3,t5)))))
| not(and(t5,or(cin,not(and(t3,t5))))) = not(and(t5,or(cin,not(t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(t5,or(cin,not(and(t3,t5))))),not(and(t5,or(cin,not(and(t3,t5)))))) ),[1,0],$fot(and(t5,or(cin,not(t3))))]]) ).
cnf(refute_0_22588,plain,
( and(t5,or(cin,not(and(t3,t5)))) != and(t5,or(cin,not(t3)))
| not(and(t5,or(cin,not(and(t3,t5))))) = not(and(t5,or(cin,not(t3)))) ),
inference(resolve,[$cnf( $equal(not(and(t5,or(cin,not(and(t3,t5))))),not(and(t5,or(cin,not(and(t3,t5)))))) )],[refute_0_22586,refute_0_22587]) ).
cnf(refute_0_22589,plain,
not(and(t5,or(cin,not(and(t3,t5))))) = not(and(t5,or(cin,not(t3)))),
inference(resolve,[$cnf( $equal(and(t5,or(cin,not(and(t3,t5)))),and(t5,or(cin,not(t3)))) )],[refute_0_22585,refute_0_22588]) ).
cnf(refute_0_22590,plain,
or(not(t5),and(not(cin),and(t3,t5))) = not(and(t5,or(cin,not(and(t3,t5))))),
inference(subst,[],[refute_0_1337:[bind(X,$fot(t5)),bind(X_78,$fot(and(t3,t5))),bind(X_79,$fot(cin))]]) ).
cnf(refute_0_22591,plain,
( not(and(t5,or(cin,not(and(t3,t5))))) != not(and(t5,or(cin,not(t3))))
| or(not(t5),and(not(cin),and(t3,t5))) != not(and(t5,or(cin,not(and(t3,t5)))))
| or(not(t5),and(not(cin),and(t3,t5))) = not(and(t5,or(cin,not(t3)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t5),and(not(cin),and(t3,t5))))),bind(Y0,$fot(not(and(t5,or(cin,not(and(t3,t5))))))),bind(Z0,$fot(not(and(t5,or(cin,not(t3))))))]]) ).
cnf(refute_0_22592,plain,
( not(and(t5,or(cin,not(and(t3,t5))))) != not(and(t5,or(cin,not(t3))))
| or(not(t5),and(not(cin),and(t3,t5))) = not(and(t5,or(cin,not(t3)))) ),
inference(resolve,[$cnf( $equal(or(not(t5),and(not(cin),and(t3,t5))),not(and(t5,or(cin,not(and(t3,t5)))))) )],[refute_0_22590,refute_0_22591]) ).
cnf(refute_0_22593,plain,
or(not(t5),and(not(cin),and(t3,t5))) = not(and(t5,or(cin,not(t3)))),
inference(resolve,[$cnf( $equal(not(and(t5,or(cin,not(and(t3,t5))))),not(and(t5,or(cin,not(t3))))) )],[refute_0_22589,refute_0_22592]) ).
cnf(refute_0_22594,plain,
( or(not(t5),and(not(cin),and(t3,t5))) != not(and(t5,or(cin,not(t3))))
| or(not(t5),and(not(cin),and(t3,t5))) != xor(cin,and(t3,t5))
| not(and(t5,or(cin,not(t3)))) = xor(cin,and(t3,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t5),and(not(cin),and(t3,t5))),xor(cin,and(t3,t5))) ),[0],$fot(not(and(t5,or(cin,not(t3)))))]]) ).
cnf(refute_0_22595,plain,
( or(not(t5),and(not(cin),and(t3,t5))) != xor(cin,and(t3,t5))
| not(and(t5,or(cin,not(t3)))) = xor(cin,and(t3,t5)) ),
inference(resolve,[$cnf( $equal(or(not(t5),and(not(cin),and(t3,t5))),not(and(t5,or(cin,not(t3))))) )],[refute_0_22593,refute_0_22594]) ).
cnf(refute_0_22596,plain,
not(and(t5,or(cin,not(t3)))) = xor(cin,and(t3,t5)),
inference(resolve,[$cnf( $equal(or(not(t5),and(not(cin),and(t3,t5))),xor(cin,and(t3,t5))) )],[refute_0_22560,refute_0_22595]) ).
cnf(refute_0_22597,plain,
not(not(xor(cin,and(t3,t5)))) = xor(cin,and(t3,t5)),
inference(subst,[],[not_involution:[bind(X,$fot(xor(cin,and(t3,t5))))]]) ).
cnf(refute_0_22598,plain,
xor(cin,xor(t4,and(t3,not(t6)))) = xor(sum,and(t3,not(t6))),
inference(subst,[],[refute_0_5968:[bind(Z,$fot(and(t3,not(t6))))]]) ).
cnf(refute_0_22599,plain,
( xor(cin,xor(t4,and(t3,not(t6)))) != xor(sum,and(t3,not(t6)))
| xor(t4,and(t3,not(t6))) != xor(t2,and(t3,t6))
| xor(cin,xor(t2,and(t3,t6))) = xor(sum,and(t3,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t4,and(t3,not(t6)))),xor(sum,and(t3,not(t6)))) ),[0,1],$fot(xor(t2,and(t3,t6)))]]) ).
cnf(refute_0_22600,plain,
( xor(cin,xor(t4,and(t3,not(t6)))) != xor(sum,and(t3,not(t6)))
| xor(cin,xor(t2,and(t3,t6))) = xor(sum,and(t3,not(t6))) ),
inference(resolve,[$cnf( $equal(xor(t4,and(t3,not(t6))),xor(t2,and(t3,t6))) )],[refute_0_21474,refute_0_22599]) ).
cnf(refute_0_22601,plain,
xor(cin,xor(t2,and(t3,t6))) = xor(sum,and(t3,not(t6))),
inference(resolve,[$cnf( $equal(xor(cin,xor(t4,and(t3,not(t6)))),xor(sum,and(t3,not(t6)))) )],[refute_0_22598,refute_0_22600]) ).
cnf(refute_0_22602,plain,
xor(cin,xor(t2,and(t3,t6))) = xor(cin,xor(t2,and(t3,t6))),
introduced(tautology,[refl,[$fot(xor(cin,xor(t2,and(t3,t6))))]]) ).
cnf(refute_0_22603,plain,
( xor(cin,xor(t2,and(t3,t6))) != xor(cin,xor(t2,and(t3,t6)))
| xor(t2,and(t3,t6)) != and(t4,or(b,t6))
| xor(cin,xor(t2,and(t3,t6))) = xor(cin,and(t4,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t2,and(t3,t6))),xor(cin,xor(t2,and(t3,t6)))) ),[1,1],$fot(and(t4,or(b,t6)))]]) ).
cnf(refute_0_22604,plain,
( xor(t2,and(t3,t6)) != and(t4,or(b,t6))
| xor(cin,xor(t2,and(t3,t6))) = xor(cin,and(t4,or(b,t6))) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t2,and(t3,t6))),xor(cin,xor(t2,and(t3,t6)))) )],[refute_0_22602,refute_0_22603]) ).
cnf(refute_0_22605,plain,
xor(cin,xor(t2,and(t3,t6))) = xor(cin,and(t4,or(b,t6))),
inference(resolve,[$cnf( $equal(xor(t2,and(t3,t6)),and(t4,or(b,t6))) )],[refute_0_21504,refute_0_22604]) ).
cnf(refute_0_22606,plain,
( xor(cin,xor(t2,and(t3,t6))) != xor(cin,and(t4,or(b,t6)))
| xor(cin,xor(t2,and(t3,t6))) != xor(sum,and(t3,not(t6)))
| xor(cin,and(t4,or(b,t6))) = xor(sum,and(t3,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t2,and(t3,t6))),xor(sum,and(t3,not(t6)))) ),[0],$fot(xor(cin,and(t4,or(b,t6))))]]) ).
cnf(refute_0_22607,plain,
( xor(cin,xor(t2,and(t3,t6))) != xor(sum,and(t3,not(t6)))
| xor(cin,and(t4,or(b,t6))) = xor(sum,and(t3,not(t6))) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t2,and(t3,t6))),xor(cin,and(t4,or(b,t6)))) )],[refute_0_22605,refute_0_22606]) ).
cnf(refute_0_22608,plain,
xor(sum,not(or(b,t6))) = not(xor(sum,or(b,t6))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(sum)),bind(X_334,$fot(or(b,t6)))]]) ).
cnf(refute_0_22609,plain,
xor(sum,and(t3,not(t6))) = xor(sum,and(t3,not(t6))),
introduced(tautology,[refl,[$fot(xor(sum,and(t3,not(t6))))]]) ).
cnf(refute_0_22610,plain,
( and(t3,not(t6)) != not(or(b,t6))
| xor(sum,and(t3,not(t6))) != xor(sum,and(t3,not(t6)))
| xor(sum,and(t3,not(t6))) = xor(sum,not(or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,and(t3,not(t6))),xor(sum,and(t3,not(t6)))) ),[1,1],$fot(not(or(b,t6)))]]) ).
cnf(refute_0_22611,plain,
( and(t3,not(t6)) != not(or(b,t6))
| xor(sum,and(t3,not(t6))) = xor(sum,not(or(b,t6))) ),
inference(resolve,[$cnf( $equal(xor(sum,and(t3,not(t6))),xor(sum,and(t3,not(t6)))) )],[refute_0_22609,refute_0_22610]) ).
cnf(refute_0_22612,plain,
xor(sum,and(t3,not(t6))) = xor(sum,not(or(b,t6))),
inference(resolve,[$cnf( $equal(and(t3,not(t6)),not(or(b,t6))) )],[refute_0_20600,refute_0_22611]) ).
cnf(refute_0_22613,plain,
( xor(sum,and(t3,not(t6))) != xor(sum,not(or(b,t6)))
| xor(sum,not(or(b,t6))) != not(xor(sum,or(b,t6)))
| xor(sum,and(t3,not(t6))) = not(xor(sum,or(b,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(sum,and(t3,not(t6))))),bind(Y0,$fot(xor(sum,not(or(b,t6))))),bind(Z0,$fot(not(xor(sum,or(b,t6)))))]]) ).
cnf(refute_0_22614,plain,
( xor(sum,not(or(b,t6))) != not(xor(sum,or(b,t6)))
| xor(sum,and(t3,not(t6))) = not(xor(sum,or(b,t6))) ),
inference(resolve,[$cnf( $equal(xor(sum,and(t3,not(t6))),xor(sum,not(or(b,t6)))) )],[refute_0_22612,refute_0_22613]) ).
cnf(refute_0_22615,plain,
xor(sum,and(t3,not(t6))) = not(xor(sum,or(b,t6))),
inference(resolve,[$cnf( $equal(xor(sum,not(or(b,t6))),not(xor(sum,or(b,t6)))) )],[refute_0_22608,refute_0_22614]) ).
cnf(refute_0_22616,plain,
( xor(cin,and(t4,or(b,t6))) != xor(sum,and(t3,not(t6)))
| xor(sum,and(t3,not(t6))) != not(xor(sum,or(b,t6)))
| xor(cin,and(t4,or(b,t6))) = not(xor(sum,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(cin,and(t4,or(b,t6))),not(xor(sum,or(b,t6)))) ),[0],$fot(xor(sum,and(t3,not(t6))))]]) ).
cnf(refute_0_22617,plain,
( xor(cin,and(t4,or(b,t6))) != xor(sum,and(t3,not(t6)))
| xor(cin,and(t4,or(b,t6))) = not(xor(sum,or(b,t6))) ),
inference(resolve,[$cnf( $equal(xor(sum,and(t3,not(t6))),not(xor(sum,or(b,t6)))) )],[refute_0_22615,refute_0_22616]) ).
cnf(refute_0_22618,plain,
( xor(cin,xor(t2,and(t3,t6))) != xor(sum,and(t3,not(t6)))
| xor(cin,and(t4,or(b,t6))) = not(xor(sum,or(b,t6))) ),
inference(resolve,[$cnf( $equal(xor(cin,and(t4,or(b,t6))),xor(sum,and(t3,not(t6)))) )],[refute_0_22607,refute_0_22617]) ).
cnf(refute_0_22619,plain,
xor(cin,and(t4,or(b,t6))) = not(xor(sum,or(b,t6))),
inference(resolve,[$cnf( $equal(xor(cin,xor(t2,and(t3,t6))),xor(sum,and(t3,not(t6)))) )],[refute_0_22601,refute_0_22618]) ).
cnf(refute_0_22620,plain,
xor(cin,not(and(t3,t5))) = not(xor(cin,and(t3,t5))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(cin)),bind(X_334,$fot(and(t3,t5)))]]) ).
cnf(refute_0_22621,plain,
xor(cin,and(t4,or(b,t6))) = xor(cin,and(t4,or(b,t6))),
introduced(tautology,[refl,[$fot(xor(cin,and(t4,or(b,t6))))]]) ).
cnf(refute_0_22622,plain,
( and(t4,or(b,t6)) != not(and(t3,t5))
| xor(cin,and(t4,or(b,t6))) != xor(cin,and(t4,or(b,t6)))
| xor(cin,and(t4,or(b,t6))) = xor(cin,not(and(t3,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,and(t4,or(b,t6))),xor(cin,and(t4,or(b,t6)))) ),[1,1],$fot(not(and(t3,t5)))]]) ).
cnf(refute_0_22623,plain,
( and(t4,or(b,t6)) != not(and(t3,t5))
| xor(cin,and(t4,or(b,t6))) = xor(cin,not(and(t3,t5))) ),
inference(resolve,[$cnf( $equal(xor(cin,and(t4,or(b,t6))),xor(cin,and(t4,or(b,t6)))) )],[refute_0_22621,refute_0_22622]) ).
cnf(refute_0_22624,plain,
xor(cin,and(t4,or(b,t6))) = xor(cin,not(and(t3,t5))),
inference(resolve,[$cnf( $equal(and(t4,or(b,t6)),not(and(t3,t5))) )],[refute_0_22543,refute_0_22623]) ).
cnf(refute_0_22625,plain,
( xor(cin,and(t4,or(b,t6))) != xor(cin,not(and(t3,t5)))
| xor(cin,not(and(t3,t5))) != not(xor(cin,and(t3,t5)))
| xor(cin,and(t4,or(b,t6))) = not(xor(cin,and(t3,t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(cin,and(t4,or(b,t6))))),bind(Y0,$fot(xor(cin,not(and(t3,t5))))),bind(Z0,$fot(not(xor(cin,and(t3,t5)))))]]) ).
cnf(refute_0_22626,plain,
( xor(cin,not(and(t3,t5))) != not(xor(cin,and(t3,t5)))
| xor(cin,and(t4,or(b,t6))) = not(xor(cin,and(t3,t5))) ),
inference(resolve,[$cnf( $equal(xor(cin,and(t4,or(b,t6))),xor(cin,not(and(t3,t5)))) )],[refute_0_22624,refute_0_22625]) ).
cnf(refute_0_22627,plain,
xor(cin,and(t4,or(b,t6))) = not(xor(cin,and(t3,t5))),
inference(resolve,[$cnf( $equal(xor(cin,not(and(t3,t5))),not(xor(cin,and(t3,t5)))) )],[refute_0_22620,refute_0_22626]) ).
cnf(refute_0_22628,plain,
( xor(cin,and(t4,or(b,t6))) != not(xor(cin,and(t3,t5)))
| xor(cin,and(t4,or(b,t6))) != not(xor(sum,or(b,t6)))
| not(xor(cin,and(t3,t5))) = not(xor(sum,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,and(t4,or(b,t6))),not(xor(sum,or(b,t6)))) ),[0],$fot(not(xor(cin,and(t3,t5))))]]) ).
cnf(refute_0_22629,plain,
( xor(cin,and(t4,or(b,t6))) != not(xor(sum,or(b,t6)))
| not(xor(cin,and(t3,t5))) = not(xor(sum,or(b,t6))) ),
inference(resolve,[$cnf( $equal(xor(cin,and(t4,or(b,t6))),not(xor(cin,and(t3,t5)))) )],[refute_0_22627,refute_0_22628]) ).
cnf(refute_0_22630,plain,
or(and(t7,not(xor(t6,or(carry,t2)))),and(not(t7),xor(t6,or(carry,t2)))) = xor(t7,xor(t6,or(carry,t2))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t7)),bind(Y,$fot(xor(t6,or(carry,t2))))]]) ).
cnf(refute_0_22631,plain,
and(or(t7,not(xor(t6,or(carry,t2)))),not(or(not(xor(t6,or(carry,t2))),t7))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(not(xor(t6,or(carry,t2))))),bind(X_28,$fot(t7))]]) ).
cnf(refute_0_22632,plain,
or(or(t7,not(t4)),Z) = or(t7,or(not(t4),Z)),
inference(subst,[],[or_associative:[bind(X,$fot(t7)),bind(Y,$fot(not(t4)))]]) ).
cnf(refute_0_22633,plain,
not(and(not(t7),t4)) = not(and(t4,not(t7))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(t4)),bind(X_32,$fot(not(t7)))]]) ).
cnf(refute_0_22634,plain,
( and(t4,not(t7)) != ll0
| not(and(not(t7),t4)) != not(and(t4,not(t7)))
| not(and(not(t7),t4)) = not(ll0) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t7),t4)),not(and(t4,not(t7)))) ),[1,0],$fot(ll0)]]) ).
cnf(refute_0_22635,plain,
( not(and(not(t7),t4)) != not(and(t4,not(t7)))
| not(and(not(t7),t4)) = not(ll0) ),
inference(resolve,[$cnf( $equal(and(t4,not(t7)),ll0) )],[refute_0_769,refute_0_22634]) ).
cnf(refute_0_22636,plain,
not(and(not(t7),t4)) = not(ll0),
inference(resolve,[$cnf( $equal(not(and(not(t7),t4)),not(and(t4,not(t7)))) )],[refute_0_22633,refute_0_22635]) ).
cnf(refute_0_22637,plain,
not(and(not(t7),t4)) = or(t7,not(t4)),
inference(subst,[],[refute_0_787:[bind(X,$fot(t7)),bind(X_32,$fot(t4))]]) ).
cnf(refute_0_22638,plain,
( not(and(not(t7),t4)) != not(ll0)
| not(and(not(t7),t4)) != or(t7,not(t4))
| or(t7,not(t4)) = not(ll0) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t7),t4)),not(ll0)) ),[0],$fot(or(t7,not(t4)))]]) ).
cnf(refute_0_22639,plain,
( not(and(not(t7),t4)) != not(ll0)
| or(t7,not(t4)) = not(ll0) ),
inference(resolve,[$cnf( $equal(not(and(not(t7),t4)),or(t7,not(t4))) )],[refute_0_22637,refute_0_22638]) ).
cnf(refute_0_22640,plain,
( not(ll0) != ll1
| or(t7,not(t4)) != not(ll0)
| or(t7,not(t4)) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,not(t4)),not(ll0)) ),[1],$fot(ll1)]]) ).
cnf(refute_0_22641,plain,
( or(t7,not(t4)) != not(ll0)
| or(t7,not(t4)) = ll1 ),
inference(resolve,[$cnf( $equal(not(ll0),ll1) )],[ll0_inverse,refute_0_22640]) ).
cnf(refute_0_22642,plain,
( not(and(not(t7),t4)) != not(ll0)
| or(t7,not(t4)) = ll1 ),
inference(resolve,[$cnf( $equal(or(t7,not(t4)),not(ll0)) )],[refute_0_22639,refute_0_22641]) ).
cnf(refute_0_22643,plain,
or(t7,not(t4)) = ll1,
inference(resolve,[$cnf( $equal(not(and(not(t7),t4)),not(ll0)) )],[refute_0_22636,refute_0_22642]) ).
cnf(refute_0_22644,plain,
( or(or(t7,not(t4)),Z) != or(t7,or(not(t4),Z))
| or(t7,not(t4)) != ll1
| or(ll1,Z) = or(t7,or(not(t4),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t7,not(t4)),Z),or(t7,or(not(t4),Z))) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_22645,plain,
( or(or(t7,not(t4)),Z) != or(t7,or(not(t4),Z))
| or(ll1,Z) = or(t7,or(not(t4),Z)) ),
inference(resolve,[$cnf( $equal(or(t7,not(t4)),ll1) )],[refute_0_22643,refute_0_22644]) ).
cnf(refute_0_22646,plain,
or(ll1,Z) = or(t7,or(not(t4),Z)),
inference(resolve,[$cnf( $equal(or(or(t7,not(t4)),Z),or(t7,or(not(t4),Z))) )],[refute_0_22632,refute_0_22645]) ).
cnf(refute_0_22647,plain,
( or(ll1,Z) != ll1
| or(ll1,Z) != or(t7,or(not(t4),Z))
| ll1 = or(t7,or(not(t4),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll1,Z),or(t7,or(not(t4),Z))) ),[0],$fot(ll1)]]) ).
cnf(refute_0_22648,plain,
( or(ll1,Z) != or(t7,or(not(t4),Z))
| ll1 = or(t7,or(not(t4),Z)) ),
inference(resolve,[$cnf( $equal(or(ll1,Z),ll1) )],[refute_0_6102,refute_0_22647]) ).
cnf(refute_0_22649,plain,
ll1 = or(t7,or(not(t4),Z)),
inference(resolve,[$cnf( $equal(or(ll1,Z),or(t7,or(not(t4),Z))) )],[refute_0_22646,refute_0_22648]) ).
cnf(refute_0_22650,plain,
ll1 = or(t7,or(not(t4),not(Y))),
inference(subst,[],[refute_0_22649:[bind(Z,$fot(not(Y)))]]) ).
cnf(refute_0_22651,plain,
( ll1 != or(t7,or(not(t4),not(Y)))
| or(not(t4),not(Y)) != not(and(t4,Y))
| ll1 = or(t7,not(and(t4,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t7,or(not(t4),not(Y)))) ),[1,1],$fot(not(and(t4,Y)))]]) ).
cnf(refute_0_22652,plain,
( ll1 != or(t7,or(not(t4),not(Y)))
| ll1 = or(t7,not(and(t4,Y))) ),
inference(resolve,[$cnf( $equal(or(not(t4),not(Y)),not(and(t4,Y))) )],[refute_0_14895,refute_0_22651]) ).
cnf(refute_0_22653,plain,
ll1 = or(t7,not(and(t4,Y))),
inference(resolve,[$cnf( $equal(ll1,or(t7,or(not(t4),not(Y)))) )],[refute_0_22650,refute_0_22652]) ).
cnf(refute_0_22654,plain,
ll1 = or(t7,not(and(t4,xor(t6,or(carry,t2))))),
inference(subst,[],[refute_0_22653:[bind(Y,$fot(xor(t6,or(carry,t2))))]]) ).
cnf(refute_0_22655,plain,
and(not(t6),or(carry,t2)) = and(t4,and(not(t6),or(carry,t2))),
inference(subst,[],[refute_0_12832:[bind(X_222,$fot(or(carry,t2)))]]) ).
cnf(refute_0_22656,plain,
( and(not(t6),or(carry,t2)) != and(t4,and(not(t6),or(carry,t2)))
| and(not(t6),or(carry,t2)) != xor(t6,or(carry,t2))
| and(not(t6),or(carry,t2)) = and(t4,xor(t6,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),or(carry,t2)),and(t4,and(not(t6),or(carry,t2)))) ),[1,1],$fot(xor(t6,or(carry,t2)))]]) ).
cnf(refute_0_22657,plain,
( and(not(t6),or(carry,t2)) != and(t4,and(not(t6),or(carry,t2)))
| and(not(t6),or(carry,t2)) = and(t4,xor(t6,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(not(t6),or(carry,t2)),xor(t6,or(carry,t2))) )],[refute_0_21229,refute_0_22656]) ).
cnf(refute_0_22658,plain,
and(not(t6),or(carry,t2)) = and(t4,xor(t6,or(carry,t2))),
inference(resolve,[$cnf( $equal(and(not(t6),or(carry,t2)),and(t4,and(not(t6),or(carry,t2)))) )],[refute_0_22655,refute_0_22657]) ).
cnf(refute_0_22659,plain,
( and(not(t6),or(carry,t2)) != and(t4,xor(t6,or(carry,t2)))
| and(not(t6),or(carry,t2)) != xor(t6,or(carry,t2))
| xor(t6,or(carry,t2)) = and(t4,xor(t6,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),or(carry,t2)),and(t4,xor(t6,or(carry,t2)))) ),[0],$fot(xor(t6,or(carry,t2)))]]) ).
cnf(refute_0_22660,plain,
( and(not(t6),or(carry,t2)) != and(t4,xor(t6,or(carry,t2)))
| xor(t6,or(carry,t2)) = and(t4,xor(t6,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(not(t6),or(carry,t2)),xor(t6,or(carry,t2))) )],[refute_0_21229,refute_0_22659]) ).
cnf(refute_0_22661,plain,
xor(t6,or(carry,t2)) = and(t4,xor(t6,or(carry,t2))),
inference(resolve,[$cnf( $equal(and(not(t6),or(carry,t2)),and(t4,xor(t6,or(carry,t2)))) )],[refute_0_22658,refute_0_22660]) ).
cnf(refute_0_22662,plain,
( xor(t6,or(carry,t2)) != and(t4,xor(t6,or(carry,t2)))
| and(t4,xor(t6,or(carry,t2))) = xor(t6,or(carry,t2)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t6,or(carry,t2)))),bind(Y0,$fot(and(t4,xor(t6,or(carry,t2)))))]]) ).
cnf(refute_0_22663,plain,
and(t4,xor(t6,or(carry,t2))) = xor(t6,or(carry,t2)),
inference(resolve,[$cnf( $equal(xor(t6,or(carry,t2)),and(t4,xor(t6,or(carry,t2)))) )],[refute_0_22661,refute_0_22662]) ).
cnf(refute_0_22664,plain,
( and(t4,xor(t6,or(carry,t2))) != xor(t6,or(carry,t2))
| ll1 != or(t7,not(and(t4,xor(t6,or(carry,t2)))))
| ll1 = or(t7,not(xor(t6,or(carry,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t7,not(and(t4,xor(t6,or(carry,t2)))))) ),[1,1,0],$fot(xor(t6,or(carry,t2)))]]) ).
cnf(refute_0_22665,plain,
( ll1 != or(t7,not(and(t4,xor(t6,or(carry,t2)))))
| ll1 = or(t7,not(xor(t6,or(carry,t2)))) ),
inference(resolve,[$cnf( $equal(and(t4,xor(t6,or(carry,t2))),xor(t6,or(carry,t2))) )],[refute_0_22663,refute_0_22664]) ).
cnf(refute_0_22666,plain,
ll1 = or(t7,not(xor(t6,or(carry,t2)))),
inference(resolve,[$cnf( $equal(ll1,or(t7,not(and(t4,xor(t6,or(carry,t2)))))) )],[refute_0_22654,refute_0_22665]) ).
cnf(refute_0_22667,plain,
( ll1 != or(t7,not(xor(t6,or(carry,t2))))
| or(t7,not(xor(t6,or(carry,t2)))) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(t7,not(xor(t6,or(carry,t2))))))]]) ).
cnf(refute_0_22668,plain,
or(t7,not(xor(t6,or(carry,t2)))) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(t7,not(xor(t6,or(carry,t2))))) )],[refute_0_22666,refute_0_22667]) ).
cnf(refute_0_22669,plain,
( and(or(t7,not(xor(t6,or(carry,t2)))),not(or(not(xor(t6,or(carry,t2))),t7))) != ll0
| or(t7,not(xor(t6,or(carry,t2)))) != ll1
| and(ll1,not(or(not(xor(t6,or(carry,t2))),t7))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(t7,not(xor(t6,or(carry,t2)))),not(or(not(xor(t6,or(carry,t2))),t7))),ll0) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_22670,plain,
( and(or(t7,not(xor(t6,or(carry,t2)))),not(or(not(xor(t6,or(carry,t2))),t7))) != ll0
| and(ll1,not(or(not(xor(t6,or(carry,t2))),t7))) = ll0 ),
inference(resolve,[$cnf( $equal(or(t7,not(xor(t6,or(carry,t2)))),ll1) )],[refute_0_22668,refute_0_22669]) ).
cnf(refute_0_22671,plain,
and(ll1,not(or(not(xor(t6,or(carry,t2))),t7))) = ll0,
inference(resolve,[$cnf( $equal(and(or(t7,not(xor(t6,or(carry,t2)))),not(or(not(xor(t6,or(carry,t2))),t7))),ll0) )],[refute_0_22631,refute_0_22670]) ).
cnf(refute_0_22672,plain,
not(or(t7,not(xor(t6,or(carry,t2))))) = and(not(t7),xor(t6,or(carry,t2))),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(t6,or(carry,t2)))),bind(X_25,$fot(t7))]]) ).
cnf(refute_0_22673,plain,
and(ll1,not(or(t7,not(xor(t6,or(carry,t2)))))) = not(or(t7,not(xor(t6,or(carry,t2))))),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(or(t7,not(xor(t6,or(carry,t2)))))))]]) ).
cnf(refute_0_22674,plain,
( and(ll1,not(or(t7,not(xor(t6,or(carry,t2)))))) != not(or(t7,not(xor(t6,or(carry,t2)))))
| not(or(t7,not(xor(t6,or(carry,t2))))) != and(not(t7),xor(t6,or(carry,t2)))
| and(ll1,not(or(t7,not(xor(t6,or(carry,t2)))))) = and(not(t7),xor(t6,or(carry,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(t7,not(xor(t6,or(carry,t2)))))))),bind(Y0,$fot(not(or(t7,not(xor(t6,or(carry,t2))))))),bind(Z0,$fot(and(not(t7),xor(t6,or(carry,t2)))))]]) ).
cnf(refute_0_22675,plain,
( not(or(t7,not(xor(t6,or(carry,t2))))) != and(not(t7),xor(t6,or(carry,t2)))
| and(ll1,not(or(t7,not(xor(t6,or(carry,t2)))))) = and(not(t7),xor(t6,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t7,not(xor(t6,or(carry,t2)))))),not(or(t7,not(xor(t6,or(carry,t2)))))) )],[refute_0_22673,refute_0_22674]) ).
cnf(refute_0_22676,plain,
and(ll1,not(or(t7,not(xor(t6,or(carry,t2)))))) = and(not(t7),xor(t6,or(carry,t2))),
inference(resolve,[$cnf( $equal(not(or(t7,not(xor(t6,or(carry,t2))))),and(not(t7),xor(t6,or(carry,t2)))) )],[refute_0_22672,refute_0_22675]) ).
cnf(refute_0_22677,plain,
and(ll1,not(or(not(xor(t6,or(carry,t2))),t7))) = and(ll1,not(or(t7,not(xor(t6,or(carry,t2)))))),
inference(subst,[],[refute_0_815:[bind(X_25,$fot(t7)),bind(X_26,$fot(not(xor(t6,or(carry,t2))))),bind(X_29,$fot(ll1))]]) ).
cnf(refute_0_22678,plain,
( and(ll1,not(or(not(xor(t6,or(carry,t2))),t7))) != and(ll1,not(or(t7,not(xor(t6,or(carry,t2))))))
| and(ll1,not(or(t7,not(xor(t6,or(carry,t2)))))) != and(not(t7),xor(t6,or(carry,t2)))
| and(ll1,not(or(not(xor(t6,or(carry,t2))),t7))) = and(not(t7),xor(t6,or(carry,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(xor(t6,or(carry,t2))),t7))))),bind(Y0,$fot(and(ll1,not(or(t7,not(xor(t6,or(carry,t2)))))))),bind(Z0,$fot(and(not(t7),xor(t6,or(carry,t2)))))]]) ).
cnf(refute_0_22679,plain,
( and(ll1,not(or(t7,not(xor(t6,or(carry,t2)))))) != and(not(t7),xor(t6,or(carry,t2)))
| and(ll1,not(or(not(xor(t6,or(carry,t2))),t7))) = and(not(t7),xor(t6,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t6,or(carry,t2))),t7))),and(ll1,not(or(t7,not(xor(t6,or(carry,t2))))))) )],[refute_0_22677,refute_0_22678]) ).
cnf(refute_0_22680,plain,
and(ll1,not(or(not(xor(t6,or(carry,t2))),t7))) = and(not(t7),xor(t6,or(carry,t2))),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t7,not(xor(t6,or(carry,t2)))))),and(not(t7),xor(t6,or(carry,t2)))) )],[refute_0_22676,refute_0_22679]) ).
cnf(refute_0_22681,plain,
( and(ll1,not(or(not(xor(t6,or(carry,t2))),t7))) != and(not(t7),xor(t6,or(carry,t2)))
| and(ll1,not(or(not(xor(t6,or(carry,t2))),t7))) != ll0
| and(not(t7),xor(t6,or(carry,t2))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(ll1,not(or(not(xor(t6,or(carry,t2))),t7))),ll0) ),[0],$fot(and(not(t7),xor(t6,or(carry,t2))))]]) ).
cnf(refute_0_22682,plain,
( and(ll1,not(or(not(xor(t6,or(carry,t2))),t7))) != ll0
| and(not(t7),xor(t6,or(carry,t2))) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t6,or(carry,t2))),t7))),and(not(t7),xor(t6,or(carry,t2)))) )],[refute_0_22680,refute_0_22681]) ).
cnf(refute_0_22683,plain,
and(not(t7),xor(t6,or(carry,t2))) = ll0,
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t6,or(carry,t2))),t7))),ll0) )],[refute_0_22671,refute_0_22682]) ).
cnf(refute_0_22684,plain,
( and(not(t7),xor(t6,or(carry,t2))) != ll0
| or(and(t7,not(xor(t6,or(carry,t2)))),and(not(t7),xor(t6,or(carry,t2)))) != xor(t7,xor(t6,or(carry,t2)))
| or(and(t7,not(xor(t6,or(carry,t2)))),ll0) = xor(t7,xor(t6,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t7,not(xor(t6,or(carry,t2)))),and(not(t7),xor(t6,or(carry,t2)))),xor(t7,xor(t6,or(carry,t2)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_22685,plain,
( or(and(t7,not(xor(t6,or(carry,t2)))),and(not(t7),xor(t6,or(carry,t2)))) != xor(t7,xor(t6,or(carry,t2)))
| or(and(t7,not(xor(t6,or(carry,t2)))),ll0) = xor(t7,xor(t6,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(not(t7),xor(t6,or(carry,t2))),ll0) )],[refute_0_22683,refute_0_22684]) ).
cnf(refute_0_22686,plain,
or(and(t7,not(xor(t6,or(carry,t2)))),ll0) = xor(t7,xor(t6,or(carry,t2))),
inference(resolve,[$cnf( $equal(or(and(t7,not(xor(t6,or(carry,t2)))),and(not(t7),xor(t6,or(carry,t2)))),xor(t7,xor(t6,or(carry,t2)))) )],[refute_0_22630,refute_0_22685]) ).
cnf(refute_0_22687,plain,
or(and(t7,not(xor(t6,or(carry,t2)))),ll0) = and(t7,not(xor(t6,or(carry,t2)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t7,not(xor(t6,or(carry,t2))))))]]) ).
cnf(refute_0_22688,plain,
( or(and(t7,not(xor(t6,or(carry,t2)))),ll0) != and(t7,not(xor(t6,or(carry,t2))))
| or(and(t7,not(xor(t6,or(carry,t2)))),ll0) != xor(t7,xor(t6,or(carry,t2)))
| and(t7,not(xor(t6,or(carry,t2)))) = xor(t7,xor(t6,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t7,not(xor(t6,or(carry,t2)))),ll0),xor(t7,xor(t6,or(carry,t2)))) ),[0],$fot(and(t7,not(xor(t6,or(carry,t2)))))]]) ).
cnf(refute_0_22689,plain,
( or(and(t7,not(xor(t6,or(carry,t2)))),ll0) != xor(t7,xor(t6,or(carry,t2)))
| and(t7,not(xor(t6,or(carry,t2)))) = xor(t7,xor(t6,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(or(and(t7,not(xor(t6,or(carry,t2)))),ll0),and(t7,not(xor(t6,or(carry,t2))))) )],[refute_0_22687,refute_0_22688]) ).
cnf(refute_0_22690,plain,
xor(t6,xor(t7,or(carry,t2))) = xor(sum,or(carry,t2)),
inference(subst,[],[refute_0_6195:[bind(Y,$fot(or(carry,t2)))]]) ).
cnf(refute_0_22691,plain,
xor(t7,xor(t6,or(carry,t2))) = xor(t6,xor(t7,or(carry,t2))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(t6)),bind(X_334,$fot(t7)),bind(X_335,$fot(or(carry,t2)))]]) ).
cnf(refute_0_22692,plain,
( xor(t6,xor(t7,or(carry,t2))) != xor(sum,or(carry,t2))
| xor(t7,xor(t6,or(carry,t2))) != xor(t6,xor(t7,or(carry,t2)))
| xor(t7,xor(t6,or(carry,t2))) = xor(sum,or(carry,t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t7,xor(t6,or(carry,t2))))),bind(Y0,$fot(xor(t6,xor(t7,or(carry,t2))))),bind(Z0,$fot(xor(sum,or(carry,t2))))]]) ).
cnf(refute_0_22693,plain,
( xor(t6,xor(t7,or(carry,t2))) != xor(sum,or(carry,t2))
| xor(t7,xor(t6,or(carry,t2))) = xor(sum,or(carry,t2)) ),
inference(resolve,[$cnf( $equal(xor(t7,xor(t6,or(carry,t2))),xor(t6,xor(t7,or(carry,t2)))) )],[refute_0_22691,refute_0_22692]) ).
cnf(refute_0_22694,plain,
xor(t7,xor(t6,or(carry,t2))) = xor(sum,or(carry,t2)),
inference(resolve,[$cnf( $equal(xor(t6,xor(t7,or(carry,t2))),xor(sum,or(carry,t2))) )],[refute_0_22690,refute_0_22693]) ).
cnf(refute_0_22695,plain,
( and(t7,not(xor(t6,or(carry,t2)))) != xor(t7,xor(t6,or(carry,t2)))
| xor(t7,xor(t6,or(carry,t2))) != xor(sum,or(carry,t2))
| and(t7,not(xor(t6,or(carry,t2)))) = xor(sum,or(carry,t2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t7,not(xor(t6,or(carry,t2)))),xor(sum,or(carry,t2))) ),[0],$fot(xor(t7,xor(t6,or(carry,t2))))]]) ).
cnf(refute_0_22696,plain,
( and(t7,not(xor(t6,or(carry,t2)))) != xor(t7,xor(t6,or(carry,t2)))
| and(t7,not(xor(t6,or(carry,t2)))) = xor(sum,or(carry,t2)) ),
inference(resolve,[$cnf( $equal(xor(t7,xor(t6,or(carry,t2))),xor(sum,or(carry,t2))) )],[refute_0_22694,refute_0_22695]) ).
cnf(refute_0_22697,plain,
( or(and(t7,not(xor(t6,or(carry,t2)))),ll0) != xor(t7,xor(t6,or(carry,t2)))
| and(t7,not(xor(t6,or(carry,t2)))) = xor(sum,or(carry,t2)) ),
inference(resolve,[$cnf( $equal(and(t7,not(xor(t6,or(carry,t2)))),xor(t7,xor(t6,or(carry,t2)))) )],[refute_0_22689,refute_0_22696]) ).
cnf(refute_0_22698,plain,
and(t7,not(xor(t6,or(carry,t2)))) = xor(sum,or(carry,t2)),
inference(resolve,[$cnf( $equal(or(and(t7,not(xor(t6,or(carry,t2)))),ll0),xor(t7,xor(t6,or(carry,t2)))) )],[refute_0_22686,refute_0_22697]) ).
cnf(refute_0_22699,plain,
and(t7,not(xor(t6,or(carry,t2)))) = and(t7,not(xor(t6,or(carry,t2)))),
introduced(tautology,[refl,[$fot(and(t7,not(xor(t6,or(carry,t2)))))]]) ).
cnf(refute_0_22700,plain,
( and(t7,not(xor(t6,or(carry,t2)))) != and(t7,not(xor(t6,or(carry,t2))))
| not(xor(t6,or(carry,t2))) != not(xor(t6,or(b,t6)))
| and(t7,not(xor(t6,or(carry,t2)))) = and(t7,not(xor(t6,or(b,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t7,not(xor(t6,or(carry,t2)))),and(t7,not(xor(t6,or(carry,t2))))) ),[1,1],$fot(not(xor(t6,or(b,t6))))]]) ).
cnf(refute_0_22701,plain,
( not(xor(t6,or(carry,t2))) != not(xor(t6,or(b,t6)))
| and(t7,not(xor(t6,or(carry,t2)))) = and(t7,not(xor(t6,or(b,t6)))) ),
inference(resolve,[$cnf( $equal(and(t7,not(xor(t6,or(carry,t2)))),and(t7,not(xor(t6,or(carry,t2))))) )],[refute_0_22699,refute_0_22700]) ).
cnf(refute_0_22702,plain,
and(t7,not(xor(t6,or(carry,t2)))) = and(t7,not(xor(t6,or(b,t6)))),
inference(resolve,[$cnf( $equal(not(xor(t6,or(carry,t2))),not(xor(t6,or(b,t6)))) )],[refute_0_21259,refute_0_22701]) ).
cnf(refute_0_22703,plain,
( and(t7,not(xor(t6,or(carry,t2)))) != and(t7,not(xor(t6,or(b,t6))))
| and(t7,not(xor(t6,or(carry,t2)))) != xor(sum,or(carry,t2))
| and(t7,not(xor(t6,or(b,t6)))) = xor(sum,or(carry,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t7,not(xor(t6,or(carry,t2)))),xor(sum,or(carry,t2))) ),[0],$fot(and(t7,not(xor(t6,or(b,t6)))))]]) ).
cnf(refute_0_22704,plain,
( and(t7,not(xor(t6,or(carry,t2)))) != xor(sum,or(carry,t2))
| and(t7,not(xor(t6,or(b,t6)))) = xor(sum,or(carry,t2)) ),
inference(resolve,[$cnf( $equal(and(t7,not(xor(t6,or(carry,t2)))),and(t7,not(xor(t6,or(b,t6))))) )],[refute_0_22702,refute_0_22703]) ).
cnf(refute_0_22705,plain,
xor(sum,or(carry,t2)) = xor(sum,or(carry,t2)),
introduced(tautology,[refl,[$fot(xor(sum,or(carry,t2)))]]) ).
cnf(refute_0_22706,plain,
( or(carry,t2) != or(b,t6)
| xor(sum,or(carry,t2)) != xor(sum,or(carry,t2))
| xor(sum,or(carry,t2)) = xor(sum,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,or(carry,t2)),xor(sum,or(carry,t2))) ),[1,1],$fot(or(b,t6))]]) ).
cnf(refute_0_22707,plain,
( or(carry,t2) != or(b,t6)
| xor(sum,or(carry,t2)) = xor(sum,or(b,t6)) ),
inference(resolve,[$cnf( $equal(xor(sum,or(carry,t2)),xor(sum,or(carry,t2))) )],[refute_0_22705,refute_0_22706]) ).
cnf(refute_0_22708,plain,
xor(sum,or(carry,t2)) = xor(sum,or(b,t6)),
inference(resolve,[$cnf( $equal(or(carry,t2),or(b,t6)) )],[refute_0_19502,refute_0_22707]) ).
cnf(refute_0_22709,plain,
( and(t7,not(xor(t6,or(b,t6)))) != xor(sum,or(carry,t2))
| xor(sum,or(carry,t2)) != xor(sum,or(b,t6))
| and(t7,not(xor(t6,or(b,t6)))) = xor(sum,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t7,not(xor(t6,or(b,t6)))),xor(sum,or(b,t6))) ),[0],$fot(xor(sum,or(carry,t2)))]]) ).
cnf(refute_0_22710,plain,
( and(t7,not(xor(t6,or(b,t6)))) != xor(sum,or(carry,t2))
| and(t7,not(xor(t6,or(b,t6)))) = xor(sum,or(b,t6)) ),
inference(resolve,[$cnf( $equal(xor(sum,or(carry,t2)),xor(sum,or(b,t6))) )],[refute_0_22708,refute_0_22709]) ).
cnf(refute_0_22711,plain,
( and(t7,not(xor(t6,or(carry,t2)))) != xor(sum,or(carry,t2))
| and(t7,not(xor(t6,or(b,t6)))) = xor(sum,or(b,t6)) ),
inference(resolve,[$cnf( $equal(and(t7,not(xor(t6,or(b,t6)))),xor(sum,or(carry,t2))) )],[refute_0_22704,refute_0_22710]) ).
cnf(refute_0_22712,plain,
and(t7,not(xor(t6,or(b,t6)))) = xor(sum,or(b,t6)),
inference(resolve,[$cnf( $equal(and(t7,not(xor(t6,or(carry,t2)))),xor(sum,or(carry,t2))) )],[refute_0_22698,refute_0_22711]) ).
cnf(refute_0_22713,plain,
and(t7,not(xor(t6,or(b,t6)))) = and(t7,not(xor(t6,or(b,t6)))),
introduced(tautology,[refl,[$fot(and(t7,not(xor(t6,or(b,t6)))))]]) ).
cnf(refute_0_22714,plain,
( and(t7,not(xor(t6,or(b,t6)))) != and(t7,not(xor(t6,or(b,t6))))
| not(xor(t6,or(b,t6))) != or(a,t6)
| and(t7,not(xor(t6,or(b,t6)))) = and(t7,or(a,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t7,not(xor(t6,or(b,t6)))),and(t7,not(xor(t6,or(b,t6))))) ),[1,1],$fot(or(a,t6))]]) ).
cnf(refute_0_22715,plain,
( not(xor(t6,or(b,t6))) != or(a,t6)
| and(t7,not(xor(t6,or(b,t6)))) = and(t7,or(a,t6)) ),
inference(resolve,[$cnf( $equal(and(t7,not(xor(t6,or(b,t6)))),and(t7,not(xor(t6,or(b,t6))))) )],[refute_0_22713,refute_0_22714]) ).
cnf(refute_0_22716,plain,
and(t7,not(xor(t6,or(b,t6)))) = and(t7,or(a,t6)),
inference(resolve,[$cnf( $equal(not(xor(t6,or(b,t6))),or(a,t6)) )],[refute_0_22054,refute_0_22715]) ).
cnf(refute_0_22717,plain,
( and(t7,not(xor(t6,or(b,t6)))) != and(t7,or(a,t6))
| and(t7,not(xor(t6,or(b,t6)))) != xor(sum,or(b,t6))
| and(t7,or(a,t6)) = xor(sum,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t7,not(xor(t6,or(b,t6)))),xor(sum,or(b,t6))) ),[0],$fot(and(t7,or(a,t6)))]]) ).
cnf(refute_0_22718,plain,
( and(t7,not(xor(t6,or(b,t6)))) != xor(sum,or(b,t6))
| and(t7,or(a,t6)) = xor(sum,or(b,t6)) ),
inference(resolve,[$cnf( $equal(and(t7,not(xor(t6,or(b,t6)))),and(t7,or(a,t6))) )],[refute_0_22716,refute_0_22717]) ).
cnf(refute_0_22719,plain,
and(t7,or(a,t6)) = xor(sum,or(b,t6)),
inference(resolve,[$cnf( $equal(and(t7,not(xor(t6,or(b,t6)))),xor(sum,or(b,t6))) )],[refute_0_22712,refute_0_22718]) ).
cnf(refute_0_22720,plain,
( and(t7,or(a,t6)) != xor(sum,or(b,t6))
| xor(sum,or(b,t6)) = and(t7,or(a,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t7,or(a,t6)))),bind(Y0,$fot(xor(sum,or(b,t6))))]]) ).
cnf(refute_0_22721,plain,
xor(sum,or(b,t6)) = and(t7,or(a,t6)),
inference(resolve,[$cnf( $equal(and(t7,or(a,t6)),xor(sum,or(b,t6))) )],[refute_0_22719,refute_0_22720]) ).
cnf(refute_0_22722,plain,
not(xor(sum,or(b,t6))) = not(xor(sum,or(b,t6))),
introduced(tautology,[refl,[$fot(not(xor(sum,or(b,t6))))]]) ).
cnf(refute_0_22723,plain,
( not(xor(sum,or(b,t6))) != not(xor(sum,or(b,t6)))
| xor(sum,or(b,t6)) != and(t7,or(a,t6))
| not(xor(sum,or(b,t6))) = not(and(t7,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(sum,or(b,t6))),not(xor(sum,or(b,t6)))) ),[1,0],$fot(and(t7,or(a,t6)))]]) ).
cnf(refute_0_22724,plain,
( xor(sum,or(b,t6)) != and(t7,or(a,t6))
| not(xor(sum,or(b,t6))) = not(and(t7,or(a,t6))) ),
inference(resolve,[$cnf( $equal(not(xor(sum,or(b,t6))),not(xor(sum,or(b,t6)))) )],[refute_0_22722,refute_0_22723]) ).
cnf(refute_0_22725,plain,
not(xor(sum,or(b,t6))) = not(and(t7,or(a,t6))),
inference(resolve,[$cnf( $equal(xor(sum,or(b,t6)),and(t7,or(a,t6))) )],[refute_0_22721,refute_0_22724]) ).
cnf(refute_0_22726,plain,
( not(xor(cin,and(t3,t5))) != not(xor(sum,or(b,t6)))
| not(xor(sum,or(b,t6))) != not(and(t7,or(a,t6)))
| not(xor(cin,and(t3,t5))) = not(and(t7,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(cin,and(t3,t5))),not(and(t7,or(a,t6)))) ),[0],$fot(not(xor(sum,or(b,t6))))]]) ).
cnf(refute_0_22727,plain,
( not(xor(cin,and(t3,t5))) != not(xor(sum,or(b,t6)))
| not(xor(cin,and(t3,t5))) = not(and(t7,or(a,t6))) ),
inference(resolve,[$cnf( $equal(not(xor(sum,or(b,t6))),not(and(t7,or(a,t6)))) )],[refute_0_22725,refute_0_22726]) ).
cnf(refute_0_22728,plain,
( xor(cin,and(t4,or(b,t6))) != not(xor(sum,or(b,t6)))
| not(xor(cin,and(t3,t5))) = not(and(t7,or(a,t6))) ),
inference(resolve,[$cnf( $equal(not(xor(cin,and(t3,t5))),not(xor(sum,or(b,t6)))) )],[refute_0_22629,refute_0_22727]) ).
cnf(refute_0_22729,plain,
not(xor(cin,and(t3,t5))) = not(and(t7,or(a,t6))),
inference(resolve,[$cnf( $equal(xor(cin,and(t4,or(b,t6))),not(xor(sum,or(b,t6)))) )],[refute_0_22619,refute_0_22728]) ).
cnf(refute_0_22730,plain,
xor(cin,xor(t5,or(a,t6))) = xor(t7,or(a,t6)),
inference(subst,[],[refute_0_2486:[bind(X_335,$fot(or(a,t6)))]]) ).
cnf(refute_0_22731,plain,
( xor(cin,xor(t5,or(a,t6))) != xor(t7,or(a,t6))
| xor(t5,or(a,t6)) != not(and(t3,t5))
| xor(cin,not(and(t3,t5))) = xor(t7,or(a,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t5,or(a,t6))),xor(t7,or(a,t6))) ),[0,1],$fot(not(and(t3,t5)))]]) ).
cnf(refute_0_22732,plain,
( xor(cin,xor(t5,or(a,t6))) != xor(t7,or(a,t6))
| xor(cin,not(and(t3,t5))) = xor(t7,or(a,t6)) ),
inference(resolve,[$cnf( $equal(xor(t5,or(a,t6)),not(and(t3,t5))) )],[refute_0_22548,refute_0_22731]) ).
cnf(refute_0_22733,plain,
xor(cin,not(and(t3,t5))) = xor(t7,or(a,t6)),
inference(resolve,[$cnf( $equal(xor(cin,xor(t5,or(a,t6))),xor(t7,or(a,t6))) )],[refute_0_22730,refute_0_22732]) ).
cnf(refute_0_22734,plain,
( not(xor(cin,and(t3,t5))) != not(and(t7,or(a,t6)))
| xor(cin,not(and(t3,t5))) != not(xor(cin,and(t3,t5)))
| xor(cin,not(and(t3,t5))) = not(and(t7,or(a,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(cin,not(and(t3,t5))))),bind(Y0,$fot(not(xor(cin,and(t3,t5))))),bind(Z0,$fot(not(and(t7,or(a,t6)))))]]) ).
cnf(refute_0_22735,plain,
( not(xor(cin,and(t3,t5))) != not(and(t7,or(a,t6)))
| xor(cin,not(and(t3,t5))) = not(and(t7,or(a,t6))) ),
inference(resolve,[$cnf( $equal(xor(cin,not(and(t3,t5))),not(xor(cin,and(t3,t5)))) )],[refute_0_22620,refute_0_22734]) ).
cnf(refute_0_22736,plain,
xor(cin,not(and(t3,t5))) = not(and(t7,or(a,t6))),
inference(resolve,[$cnf( $equal(not(xor(cin,and(t3,t5))),not(and(t7,or(a,t6)))) )],[refute_0_22729,refute_0_22735]) ).
cnf(refute_0_22737,plain,
( xor(cin,not(and(t3,t5))) != not(and(t7,or(a,t6)))
| xor(cin,not(and(t3,t5))) != xor(t7,or(a,t6))
| not(and(t7,or(a,t6))) = xor(t7,or(a,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,not(and(t3,t5))),xor(t7,or(a,t6))) ),[0],$fot(not(and(t7,or(a,t6))))]]) ).
cnf(refute_0_22738,plain,
( xor(cin,not(and(t3,t5))) != xor(t7,or(a,t6))
| not(and(t7,or(a,t6))) = xor(t7,or(a,t6)) ),
inference(resolve,[$cnf( $equal(xor(cin,not(and(t3,t5))),not(and(t7,or(a,t6)))) )],[refute_0_22736,refute_0_22737]) ).
cnf(refute_0_22739,plain,
or(and(sum,not(xor(t6,or(cin,t3)))),and(not(sum),xor(t6,or(cin,t3)))) = xor(sum,xor(t6,or(cin,t3))),
inference(subst,[],[refute_0_9:[bind(X,$fot(sum)),bind(Y,$fot(xor(t6,or(cin,t3))))]]) ).
cnf(refute_0_22740,plain,
and(or(sum,not(xor(t6,or(cin,t3)))),not(or(not(xor(t6,or(cin,t3))),sum))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(not(xor(t6,or(cin,t3))))),bind(X_28,$fot(sum))]]) ).
cnf(refute_0_22741,plain,
or(or(sum,not(t6)),X_39) = or(sum,or(not(t6),X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(sum)),bind(Y,$fot(not(t6))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_22742,plain,
or(sum,and(sum,not(t6))) = sum,
inference(subst,[],[or_absorption:[bind(X,$fot(sum)),bind(Y,$fot(not(t6)))]]) ).
cnf(refute_0_22743,plain,
( and(sum,not(t6)) != not(t6)
| or(sum,and(sum,not(t6))) != sum
| or(sum,not(t6)) = sum ),
introduced(tautology,[equality,[$cnf( $equal(or(sum,and(sum,not(t6))),sum) ),[0,1],$fot(not(t6))]]) ).
cnf(refute_0_22744,plain,
( or(sum,and(sum,not(t6))) != sum
| or(sum,not(t6)) = sum ),
inference(resolve,[$cnf( $equal(and(sum,not(t6)),not(t6)) )],[refute_0_4925,refute_0_22743]) ).
cnf(refute_0_22745,plain,
or(sum,not(t6)) = sum,
inference(resolve,[$cnf( $equal(or(sum,and(sum,not(t6))),sum) )],[refute_0_22742,refute_0_22744]) ).
cnf(refute_0_22746,plain,
( or(or(sum,not(t6)),X_39) != or(sum,or(not(t6),X_39))
| or(sum,not(t6)) != sum
| or(sum,X_39) = or(sum,or(not(t6),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(sum,not(t6)),X_39),or(sum,or(not(t6),X_39))) ),[0,0],$fot(sum)]]) ).
cnf(refute_0_22747,plain,
( or(or(sum,not(t6)),X_39) != or(sum,or(not(t6),X_39))
| or(sum,X_39) = or(sum,or(not(t6),X_39)) ),
inference(resolve,[$cnf( $equal(or(sum,not(t6)),sum) )],[refute_0_22745,refute_0_22746]) ).
cnf(refute_0_22748,plain,
or(sum,X_39) = or(sum,or(not(t6),X_39)),
inference(resolve,[$cnf( $equal(or(or(sum,not(t6)),X_39),or(sum,or(not(t6),X_39))) )],[refute_0_22741,refute_0_22747]) ).
cnf(refute_0_22749,plain,
or(sum,or(not(not(t6)),X_39)) = or(sum,or(not(t6),or(not(not(t6)),X_39))),
inference(subst,[],[refute_0_22748:[bind(X_39,$fot(or(not(not(t6)),X_39)))]]) ).
cnf(refute_0_22750,plain,
ll1 = or(not(t6),or(not(not(t6)),X_39)),
inference(subst,[],[refute_0_632:[bind(X_37,$fot(not(t6)))]]) ).
cnf(refute_0_22751,plain,
( ll1 != or(not(t6),or(not(not(t6)),X_39))
| or(not(t6),or(not(not(t6)),X_39)) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(not(t6),or(not(not(t6)),X_39))))]]) ).
cnf(refute_0_22752,plain,
or(not(t6),or(not(not(t6)),X_39)) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(not(t6),or(not(not(t6)),X_39))) )],[refute_0_22750,refute_0_22751]) ).
cnf(refute_0_22753,plain,
( or(not(t6),or(not(not(t6)),X_39)) != ll1
| or(sum,or(not(not(t6)),X_39)) != or(sum,or(not(t6),or(not(not(t6)),X_39)))
| or(sum,or(not(not(t6)),X_39)) = or(sum,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(sum,or(not(not(t6)),X_39)),or(sum,or(not(t6),or(not(not(t6)),X_39)))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_22754,plain,
( or(sum,or(not(not(t6)),X_39)) != or(sum,or(not(t6),or(not(not(t6)),X_39)))
| or(sum,or(not(not(t6)),X_39)) = or(sum,ll1) ),
inference(resolve,[$cnf( $equal(or(not(t6),or(not(not(t6)),X_39)),ll1) )],[refute_0_22752,refute_0_22753]) ).
cnf(refute_0_22755,plain,
or(sum,or(not(not(t6)),X_39)) = or(sum,ll1),
inference(resolve,[$cnf( $equal(or(sum,or(not(not(t6)),X_39)),or(sum,or(not(t6),or(not(not(t6)),X_39)))) )],[refute_0_22749,refute_0_22754]) ).
cnf(refute_0_22756,plain,
or(not(not(t6)),X_39) = or(not(not(t6)),X_39),
introduced(tautology,[refl,[$fot(or(not(not(t6)),X_39))]]) ).
cnf(refute_0_22757,plain,
( not(not(t6)) != t6
| or(not(not(t6)),X_39) != or(not(not(t6)),X_39)
| or(not(not(t6)),X_39) = or(t6,X_39) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(not(t6)),X_39),or(not(not(t6)),X_39)) ),[1,0],$fot(t6)]]) ).
cnf(refute_0_22758,plain,
( not(not(t6)) != t6
| or(not(not(t6)),X_39) = or(t6,X_39) ),
inference(resolve,[$cnf( $equal(or(not(not(t6)),X_39),or(not(not(t6)),X_39)) )],[refute_0_22756,refute_0_22757]) ).
cnf(refute_0_22759,plain,
or(not(not(t6)),X_39) = or(t6,X_39),
inference(resolve,[$cnf( $equal(not(not(t6)),t6) )],[refute_0_10660,refute_0_22758]) ).
cnf(refute_0_22760,plain,
or(sum,or(not(not(t6)),X_39)) = or(sum,or(not(not(t6)),X_39)),
introduced(tautology,[refl,[$fot(or(sum,or(not(not(t6)),X_39)))]]) ).
cnf(refute_0_22761,plain,
( or(not(not(t6)),X_39) != or(t6,X_39)
| or(sum,or(not(not(t6)),X_39)) != or(sum,or(not(not(t6)),X_39))
| or(sum,or(not(not(t6)),X_39)) = or(sum,or(t6,X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(sum,or(not(not(t6)),X_39)),or(sum,or(not(not(t6)),X_39))) ),[1,1],$fot(or(t6,X_39))]]) ).
cnf(refute_0_22762,plain,
( or(not(not(t6)),X_39) != or(t6,X_39)
| or(sum,or(not(not(t6)),X_39)) = or(sum,or(t6,X_39)) ),
inference(resolve,[$cnf( $equal(or(sum,or(not(not(t6)),X_39)),or(sum,or(not(not(t6)),X_39))) )],[refute_0_22760,refute_0_22761]) ).
cnf(refute_0_22763,plain,
or(sum,or(not(not(t6)),X_39)) = or(sum,or(t6,X_39)),
inference(resolve,[$cnf( $equal(or(not(not(t6)),X_39),or(t6,X_39)) )],[refute_0_22759,refute_0_22762]) ).
cnf(refute_0_22764,plain,
( or(sum,or(not(not(t6)),X_39)) != or(sum,ll1)
| or(sum,or(not(not(t6)),X_39)) != or(sum,or(t6,X_39))
| or(sum,or(t6,X_39)) = or(sum,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(sum,or(not(not(t6)),X_39)),or(sum,ll1)) ),[0],$fot(or(sum,or(t6,X_39)))]]) ).
cnf(refute_0_22765,plain,
( or(sum,or(not(not(t6)),X_39)) != or(sum,ll1)
| or(sum,or(t6,X_39)) = or(sum,ll1) ),
inference(resolve,[$cnf( $equal(or(sum,or(not(not(t6)),X_39)),or(sum,or(t6,X_39))) )],[refute_0_22763,refute_0_22764]) ).
cnf(refute_0_22766,plain,
or(sum,ll1) = ll1,
inference(subst,[],[or_boundedness:[bind(X,$fot(sum))]]) ).
cnf(refute_0_22767,plain,
( or(sum,ll1) != ll1
| or(sum,or(t6,X_39)) != or(sum,ll1)
| or(sum,or(t6,X_39)) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(sum,or(t6,X_39)),or(sum,ll1)) ),[1],$fot(ll1)]]) ).
cnf(refute_0_22768,plain,
( or(sum,or(t6,X_39)) != or(sum,ll1)
| or(sum,or(t6,X_39)) = ll1 ),
inference(resolve,[$cnf( $equal(or(sum,ll1),ll1) )],[refute_0_22766,refute_0_22767]) ).
cnf(refute_0_22769,plain,
( or(sum,or(not(not(t6)),X_39)) != or(sum,ll1)
| or(sum,or(t6,X_39)) = ll1 ),
inference(resolve,[$cnf( $equal(or(sum,or(t6,X_39)),or(sum,ll1)) )],[refute_0_22765,refute_0_22768]) ).
cnf(refute_0_22770,plain,
or(sum,or(t6,X_39)) = ll1,
inference(resolve,[$cnf( $equal(or(sum,or(not(not(t6)),X_39)),or(sum,ll1)) )],[refute_0_22755,refute_0_22769]) ).
cnf(refute_0_22771,plain,
or(sum,or(t6,not(or(cin,t3)))) = ll1,
inference(subst,[],[refute_0_22770:[bind(X_39,$fot(not(or(cin,t3))))]]) ).
cnf(refute_0_22772,plain,
( or(sum,or(t6,not(or(cin,t3)))) != ll1
| or(t6,not(or(cin,t3))) != not(xor(t6,or(cin,t3)))
| or(sum,not(xor(t6,or(cin,t3)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(sum,or(t6,not(or(cin,t3)))),ll1) ),[0,1],$fot(not(xor(t6,or(cin,t3))))]]) ).
cnf(refute_0_22773,plain,
( or(sum,or(t6,not(or(cin,t3)))) != ll1
| or(sum,not(xor(t6,or(cin,t3)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(t6,not(or(cin,t3))),not(xor(t6,or(cin,t3)))) )],[refute_0_18050,refute_0_22772]) ).
cnf(refute_0_22774,plain,
or(sum,not(xor(t6,or(cin,t3)))) = ll1,
inference(resolve,[$cnf( $equal(or(sum,or(t6,not(or(cin,t3)))),ll1) )],[refute_0_22771,refute_0_22773]) ).
cnf(refute_0_22775,plain,
( and(or(sum,not(xor(t6,or(cin,t3)))),not(or(not(xor(t6,or(cin,t3))),sum))) != ll0
| or(sum,not(xor(t6,or(cin,t3)))) != ll1
| and(ll1,not(or(not(xor(t6,or(cin,t3))),sum))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(sum,not(xor(t6,or(cin,t3)))),not(or(not(xor(t6,or(cin,t3))),sum))),ll0) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_22776,plain,
( and(or(sum,not(xor(t6,or(cin,t3)))),not(or(not(xor(t6,or(cin,t3))),sum))) != ll0
| and(ll1,not(or(not(xor(t6,or(cin,t3))),sum))) = ll0 ),
inference(resolve,[$cnf( $equal(or(sum,not(xor(t6,or(cin,t3)))),ll1) )],[refute_0_22774,refute_0_22775]) ).
cnf(refute_0_22777,plain,
and(ll1,not(or(not(xor(t6,or(cin,t3))),sum))) = ll0,
inference(resolve,[$cnf( $equal(and(or(sum,not(xor(t6,or(cin,t3)))),not(or(not(xor(t6,or(cin,t3))),sum))),ll0) )],[refute_0_22740,refute_0_22776]) ).
cnf(refute_0_22778,plain,
not(or(sum,not(xor(t6,or(cin,t3))))) = and(not(sum),xor(t6,or(cin,t3))),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(t6,or(cin,t3)))),bind(X_25,$fot(sum))]]) ).
cnf(refute_0_22779,plain,
and(ll1,not(or(sum,not(xor(t6,or(cin,t3)))))) = not(or(sum,not(xor(t6,or(cin,t3))))),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(or(sum,not(xor(t6,or(cin,t3)))))))]]) ).
cnf(refute_0_22780,plain,
( and(ll1,not(or(sum,not(xor(t6,or(cin,t3)))))) != not(or(sum,not(xor(t6,or(cin,t3)))))
| not(or(sum,not(xor(t6,or(cin,t3))))) != and(not(sum),xor(t6,or(cin,t3)))
| and(ll1,not(or(sum,not(xor(t6,or(cin,t3)))))) = and(not(sum),xor(t6,or(cin,t3))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(sum,not(xor(t6,or(cin,t3)))))))),bind(Y0,$fot(not(or(sum,not(xor(t6,or(cin,t3))))))),bind(Z0,$fot(and(not(sum),xor(t6,or(cin,t3)))))]]) ).
cnf(refute_0_22781,plain,
( not(or(sum,not(xor(t6,or(cin,t3))))) != and(not(sum),xor(t6,or(cin,t3)))
| and(ll1,not(or(sum,not(xor(t6,or(cin,t3)))))) = and(not(sum),xor(t6,or(cin,t3))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(sum,not(xor(t6,or(cin,t3)))))),not(or(sum,not(xor(t6,or(cin,t3)))))) )],[refute_0_22779,refute_0_22780]) ).
cnf(refute_0_22782,plain,
and(ll1,not(or(sum,not(xor(t6,or(cin,t3)))))) = and(not(sum),xor(t6,or(cin,t3))),
inference(resolve,[$cnf( $equal(not(or(sum,not(xor(t6,or(cin,t3))))),and(not(sum),xor(t6,or(cin,t3)))) )],[refute_0_22778,refute_0_22781]) ).
cnf(refute_0_22783,plain,
and(ll1,not(or(not(xor(t6,or(cin,t3))),sum))) = and(ll1,not(or(sum,not(xor(t6,or(cin,t3)))))),
inference(subst,[],[refute_0_815:[bind(X_25,$fot(sum)),bind(X_26,$fot(not(xor(t6,or(cin,t3))))),bind(X_29,$fot(ll1))]]) ).
cnf(refute_0_22784,plain,
( and(ll1,not(or(not(xor(t6,or(cin,t3))),sum))) != and(ll1,not(or(sum,not(xor(t6,or(cin,t3))))))
| and(ll1,not(or(sum,not(xor(t6,or(cin,t3)))))) != and(not(sum),xor(t6,or(cin,t3)))
| and(ll1,not(or(not(xor(t6,or(cin,t3))),sum))) = and(not(sum),xor(t6,or(cin,t3))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(xor(t6,or(cin,t3))),sum))))),bind(Y0,$fot(and(ll1,not(or(sum,not(xor(t6,or(cin,t3)))))))),bind(Z0,$fot(and(not(sum),xor(t6,or(cin,t3)))))]]) ).
cnf(refute_0_22785,plain,
( and(ll1,not(or(sum,not(xor(t6,or(cin,t3)))))) != and(not(sum),xor(t6,or(cin,t3)))
| and(ll1,not(or(not(xor(t6,or(cin,t3))),sum))) = and(not(sum),xor(t6,or(cin,t3))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t6,or(cin,t3))),sum))),and(ll1,not(or(sum,not(xor(t6,or(cin,t3))))))) )],[refute_0_22783,refute_0_22784]) ).
cnf(refute_0_22786,plain,
and(ll1,not(or(not(xor(t6,or(cin,t3))),sum))) = and(not(sum),xor(t6,or(cin,t3))),
inference(resolve,[$cnf( $equal(and(ll1,not(or(sum,not(xor(t6,or(cin,t3)))))),and(not(sum),xor(t6,or(cin,t3)))) )],[refute_0_22782,refute_0_22785]) ).
cnf(refute_0_22787,plain,
( and(ll1,not(or(not(xor(t6,or(cin,t3))),sum))) != and(not(sum),xor(t6,or(cin,t3)))
| and(ll1,not(or(not(xor(t6,or(cin,t3))),sum))) != ll0
| and(not(sum),xor(t6,or(cin,t3))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(ll1,not(or(not(xor(t6,or(cin,t3))),sum))),ll0) ),[0],$fot(and(not(sum),xor(t6,or(cin,t3))))]]) ).
cnf(refute_0_22788,plain,
( and(ll1,not(or(not(xor(t6,or(cin,t3))),sum))) != ll0
| and(not(sum),xor(t6,or(cin,t3))) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t6,or(cin,t3))),sum))),and(not(sum),xor(t6,or(cin,t3)))) )],[refute_0_22786,refute_0_22787]) ).
cnf(refute_0_22789,plain,
and(not(sum),xor(t6,or(cin,t3))) = ll0,
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t6,or(cin,t3))),sum))),ll0) )],[refute_0_22777,refute_0_22788]) ).
cnf(refute_0_22790,plain,
( and(not(sum),xor(t6,or(cin,t3))) != ll0
| or(and(sum,not(xor(t6,or(cin,t3)))),and(not(sum),xor(t6,or(cin,t3)))) != xor(sum,xor(t6,or(cin,t3)))
| or(and(sum,not(xor(t6,or(cin,t3)))),ll0) = xor(sum,xor(t6,or(cin,t3))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(sum,not(xor(t6,or(cin,t3)))),and(not(sum),xor(t6,or(cin,t3)))),xor(sum,xor(t6,or(cin,t3)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_22791,plain,
( or(and(sum,not(xor(t6,or(cin,t3)))),and(not(sum),xor(t6,or(cin,t3)))) != xor(sum,xor(t6,or(cin,t3)))
| or(and(sum,not(xor(t6,or(cin,t3)))),ll0) = xor(sum,xor(t6,or(cin,t3))) ),
inference(resolve,[$cnf( $equal(and(not(sum),xor(t6,or(cin,t3))),ll0) )],[refute_0_22789,refute_0_22790]) ).
cnf(refute_0_22792,plain,
or(and(sum,not(xor(t6,or(cin,t3)))),ll0) = xor(sum,xor(t6,or(cin,t3))),
inference(resolve,[$cnf( $equal(or(and(sum,not(xor(t6,or(cin,t3)))),and(not(sum),xor(t6,or(cin,t3)))),xor(sum,xor(t6,or(cin,t3)))) )],[refute_0_22739,refute_0_22791]) ).
cnf(refute_0_22793,plain,
or(and(sum,not(xor(t6,or(cin,t3)))),ll0) = and(sum,not(xor(t6,or(cin,t3)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(sum,not(xor(t6,or(cin,t3))))))]]) ).
cnf(refute_0_22794,plain,
( or(and(sum,not(xor(t6,or(cin,t3)))),ll0) != and(sum,not(xor(t6,or(cin,t3))))
| or(and(sum,not(xor(t6,or(cin,t3)))),ll0) != xor(sum,xor(t6,or(cin,t3)))
| and(sum,not(xor(t6,or(cin,t3)))) = xor(sum,xor(t6,or(cin,t3))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(sum,not(xor(t6,or(cin,t3)))),ll0),xor(sum,xor(t6,or(cin,t3)))) ),[0],$fot(and(sum,not(xor(t6,or(cin,t3)))))]]) ).
cnf(refute_0_22795,plain,
( or(and(sum,not(xor(t6,or(cin,t3)))),ll0) != xor(sum,xor(t6,or(cin,t3)))
| and(sum,not(xor(t6,or(cin,t3)))) = xor(sum,xor(t6,or(cin,t3))) ),
inference(resolve,[$cnf( $equal(or(and(sum,not(xor(t6,or(cin,t3)))),ll0),and(sum,not(xor(t6,or(cin,t3))))) )],[refute_0_22793,refute_0_22794]) ).
cnf(refute_0_22796,plain,
xor(sum,xor(t6,or(cin,t3))) = xor(t7,or(cin,t3)),
inference(subst,[],[refute_0_5410:[bind(Z,$fot(or(cin,t3)))]]) ).
cnf(refute_0_22797,plain,
( and(sum,not(xor(t6,or(cin,t3)))) != xor(sum,xor(t6,or(cin,t3)))
| xor(sum,xor(t6,or(cin,t3))) != xor(t7,or(cin,t3))
| and(sum,not(xor(t6,or(cin,t3)))) = xor(t7,or(cin,t3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(sum,not(xor(t6,or(cin,t3)))),xor(t7,or(cin,t3))) ),[0],$fot(xor(sum,xor(t6,or(cin,t3))))]]) ).
cnf(refute_0_22798,plain,
( and(sum,not(xor(t6,or(cin,t3)))) != xor(sum,xor(t6,or(cin,t3)))
| and(sum,not(xor(t6,or(cin,t3)))) = xor(t7,or(cin,t3)) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(t6,or(cin,t3))),xor(t7,or(cin,t3))) )],[refute_0_22796,refute_0_22797]) ).
cnf(refute_0_22799,plain,
( or(and(sum,not(xor(t6,or(cin,t3)))),ll0) != xor(sum,xor(t6,or(cin,t3)))
| and(sum,not(xor(t6,or(cin,t3)))) = xor(t7,or(cin,t3)) ),
inference(resolve,[$cnf( $equal(and(sum,not(xor(t6,or(cin,t3)))),xor(sum,xor(t6,or(cin,t3)))) )],[refute_0_22795,refute_0_22798]) ).
cnf(refute_0_22800,plain,
and(sum,not(xor(t6,or(cin,t3)))) = xor(t7,or(cin,t3)),
inference(resolve,[$cnf( $equal(or(and(sum,not(xor(t6,or(cin,t3)))),ll0),xor(sum,xor(t6,or(cin,t3)))) )],[refute_0_22792,refute_0_22799]) ).
cnf(refute_0_22801,plain,
and(sum,not(xor(t6,or(cin,t3)))) = and(sum,not(xor(t6,or(cin,t3)))),
introduced(tautology,[refl,[$fot(and(sum,not(xor(t6,or(cin,t3)))))]]) ).
cnf(refute_0_22802,plain,
( and(sum,not(xor(t6,or(cin,t3)))) != and(sum,not(xor(t6,or(cin,t3))))
| not(xor(t6,or(cin,t3))) != not(xor(t6,or(a,t6)))
| and(sum,not(xor(t6,or(cin,t3)))) = and(sum,not(xor(t6,or(a,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(sum,not(xor(t6,or(cin,t3)))),and(sum,not(xor(t6,or(cin,t3))))) ),[1,1],$fot(not(xor(t6,or(a,t6))))]]) ).
cnf(refute_0_22803,plain,
( not(xor(t6,or(cin,t3))) != not(xor(t6,or(a,t6)))
| and(sum,not(xor(t6,or(cin,t3)))) = and(sum,not(xor(t6,or(a,t6)))) ),
inference(resolve,[$cnf( $equal(and(sum,not(xor(t6,or(cin,t3)))),and(sum,not(xor(t6,or(cin,t3))))) )],[refute_0_22801,refute_0_22802]) ).
cnf(refute_0_22804,plain,
and(sum,not(xor(t6,or(cin,t3)))) = and(sum,not(xor(t6,or(a,t6)))),
inference(resolve,[$cnf( $equal(not(xor(t6,or(cin,t3))),not(xor(t6,or(a,t6)))) )],[refute_0_17982,refute_0_22803]) ).
cnf(refute_0_22805,plain,
( and(sum,not(xor(t6,or(cin,t3)))) != and(sum,not(xor(t6,or(a,t6))))
| and(sum,not(xor(t6,or(cin,t3)))) != xor(t7,or(cin,t3))
| and(sum,not(xor(t6,or(a,t6)))) = xor(t7,or(cin,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(and(sum,not(xor(t6,or(cin,t3)))),xor(t7,or(cin,t3))) ),[0],$fot(and(sum,not(xor(t6,or(a,t6)))))]]) ).
cnf(refute_0_22806,plain,
( and(sum,not(xor(t6,or(cin,t3)))) != xor(t7,or(cin,t3))
| and(sum,not(xor(t6,or(a,t6)))) = xor(t7,or(cin,t3)) ),
inference(resolve,[$cnf( $equal(and(sum,not(xor(t6,or(cin,t3)))),and(sum,not(xor(t6,or(a,t6))))) )],[refute_0_22804,refute_0_22805]) ).
cnf(refute_0_22807,plain,
xor(t7,or(cin,t3)) = xor(t7,or(cin,t3)),
introduced(tautology,[refl,[$fot(xor(t7,or(cin,t3)))]]) ).
cnf(refute_0_22808,plain,
( or(cin,t3) != or(a,t6)
| xor(t7,or(cin,t3)) != xor(t7,or(cin,t3))
| xor(t7,or(cin,t3)) = xor(t7,or(a,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t7,or(cin,t3)),xor(t7,or(cin,t3))) ),[1,1],$fot(or(a,t6))]]) ).
cnf(refute_0_22809,plain,
( or(cin,t3) != or(a,t6)
| xor(t7,or(cin,t3)) = xor(t7,or(a,t6)) ),
inference(resolve,[$cnf( $equal(xor(t7,or(cin,t3)),xor(t7,or(cin,t3))) )],[refute_0_22807,refute_0_22808]) ).
cnf(refute_0_22810,plain,
xor(t7,or(cin,t3)) = xor(t7,or(a,t6)),
inference(resolve,[$cnf( $equal(or(cin,t3),or(a,t6)) )],[refute_0_17974,refute_0_22809]) ).
cnf(refute_0_22811,plain,
( and(sum,not(xor(t6,or(a,t6)))) != xor(t7,or(cin,t3))
| xor(t7,or(cin,t3)) != xor(t7,or(a,t6))
| and(sum,not(xor(t6,or(a,t6)))) = xor(t7,or(a,t6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(sum,not(xor(t6,or(a,t6)))),xor(t7,or(a,t6))) ),[0],$fot(xor(t7,or(cin,t3)))]]) ).
cnf(refute_0_22812,plain,
( and(sum,not(xor(t6,or(a,t6)))) != xor(t7,or(cin,t3))
| and(sum,not(xor(t6,or(a,t6)))) = xor(t7,or(a,t6)) ),
inference(resolve,[$cnf( $equal(xor(t7,or(cin,t3)),xor(t7,or(a,t6))) )],[refute_0_22810,refute_0_22811]) ).
cnf(refute_0_22813,plain,
( and(sum,not(xor(t6,or(cin,t3)))) != xor(t7,or(cin,t3))
| and(sum,not(xor(t6,or(a,t6)))) = xor(t7,or(a,t6)) ),
inference(resolve,[$cnf( $equal(and(sum,not(xor(t6,or(a,t6)))),xor(t7,or(cin,t3))) )],[refute_0_22806,refute_0_22812]) ).
cnf(refute_0_22814,plain,
and(sum,not(xor(t6,or(a,t6)))) = xor(t7,or(a,t6)),
inference(resolve,[$cnf( $equal(and(sum,not(xor(t6,or(cin,t3)))),xor(t7,or(cin,t3))) )],[refute_0_22800,refute_0_22813]) ).
cnf(refute_0_22815,plain,
and(sum,not(xor(t6,or(a,t6)))) = and(sum,not(xor(t6,or(a,t6)))),
introduced(tautology,[refl,[$fot(and(sum,not(xor(t6,or(a,t6)))))]]) ).
cnf(refute_0_22816,plain,
( and(sum,not(xor(t6,or(a,t6)))) != and(sum,not(xor(t6,or(a,t6))))
| not(xor(t6,or(a,t6))) != not(xor(a,and(a,carry)))
| and(sum,not(xor(t6,or(a,t6)))) = and(sum,not(xor(a,and(a,carry)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(sum,not(xor(t6,or(a,t6)))),and(sum,not(xor(t6,or(a,t6))))) ),[1,1],$fot(not(xor(a,and(a,carry))))]]) ).
cnf(refute_0_22817,plain,
( not(xor(t6,or(a,t6))) != not(xor(a,and(a,carry)))
| and(sum,not(xor(t6,or(a,t6)))) = and(sum,not(xor(a,and(a,carry)))) ),
inference(resolve,[$cnf( $equal(and(sum,not(xor(t6,or(a,t6)))),and(sum,not(xor(t6,or(a,t6))))) )],[refute_0_22815,refute_0_22816]) ).
cnf(refute_0_22818,plain,
and(sum,not(xor(t6,or(a,t6)))) = and(sum,not(xor(a,and(a,carry)))),
inference(resolve,[$cnf( $equal(not(xor(t6,or(a,t6))),not(xor(a,and(a,carry)))) )],[refute_0_22163,refute_0_22817]) ).
cnf(refute_0_22819,plain,
( and(sum,not(xor(t6,or(a,t6)))) != and(sum,not(xor(a,and(a,carry))))
| and(sum,not(xor(t6,or(a,t6)))) != xor(t7,or(a,t6))
| and(sum,not(xor(a,and(a,carry)))) = xor(t7,or(a,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(sum,not(xor(t6,or(a,t6)))),xor(t7,or(a,t6))) ),[0],$fot(and(sum,not(xor(a,and(a,carry)))))]]) ).
cnf(refute_0_22820,plain,
( and(sum,not(xor(t6,or(a,t6)))) != xor(t7,or(a,t6))
| and(sum,not(xor(a,and(a,carry)))) = xor(t7,or(a,t6)) ),
inference(resolve,[$cnf( $equal(and(sum,not(xor(t6,or(a,t6)))),and(sum,not(xor(a,and(a,carry))))) )],[refute_0_22818,refute_0_22819]) ).
cnf(refute_0_22821,plain,
and(sum,not(xor(a,and(a,carry)))) = xor(t7,or(a,t6)),
inference(resolve,[$cnf( $equal(and(sum,not(xor(t6,or(a,t6)))),xor(t7,or(a,t6))) )],[refute_0_22814,refute_0_22820]) ).
cnf(refute_0_22822,plain,
and(sum,not(xor(a,and(a,carry)))) = and(sum,not(xor(a,and(a,carry)))),
introduced(tautology,[refl,[$fot(and(sum,not(xor(a,and(a,carry)))))]]) ).
cnf(refute_0_22823,plain,
( and(sum,not(xor(a,and(a,carry)))) != and(sum,not(xor(a,and(a,carry))))
| not(xor(a,and(a,carry))) != or(b,t6)
| and(sum,not(xor(a,and(a,carry)))) = and(sum,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(sum,not(xor(a,and(a,carry)))),and(sum,not(xor(a,and(a,carry))))) ),[1,1],$fot(or(b,t6))]]) ).
cnf(refute_0_22824,plain,
( not(xor(a,and(a,carry))) != or(b,t6)
| and(sum,not(xor(a,and(a,carry)))) = and(sum,or(b,t6)) ),
inference(resolve,[$cnf( $equal(and(sum,not(xor(a,and(a,carry)))),and(sum,not(xor(a,and(a,carry))))) )],[refute_0_22822,refute_0_22823]) ).
cnf(refute_0_22825,plain,
and(sum,not(xor(a,and(a,carry)))) = and(sum,or(b,t6)),
inference(resolve,[$cnf( $equal(not(xor(a,and(a,carry))),or(b,t6)) )],[refute_0_22411,refute_0_22824]) ).
cnf(refute_0_22826,plain,
( and(sum,not(xor(a,and(a,carry)))) != and(sum,or(b,t6))
| and(sum,not(xor(a,and(a,carry)))) != xor(t7,or(a,t6))
| and(sum,or(b,t6)) = xor(t7,or(a,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(sum,not(xor(a,and(a,carry)))),xor(t7,or(a,t6))) ),[0],$fot(and(sum,or(b,t6)))]]) ).
cnf(refute_0_22827,plain,
( and(sum,not(xor(a,and(a,carry)))) != xor(t7,or(a,t6))
| and(sum,or(b,t6)) = xor(t7,or(a,t6)) ),
inference(resolve,[$cnf( $equal(and(sum,not(xor(a,and(a,carry)))),and(sum,or(b,t6))) )],[refute_0_22825,refute_0_22826]) ).
cnf(refute_0_22828,plain,
and(sum,or(b,t6)) = xor(t7,or(a,t6)),
inference(resolve,[$cnf( $equal(and(sum,not(xor(a,and(a,carry)))),xor(t7,or(a,t6))) )],[refute_0_22821,refute_0_22827]) ).
cnf(refute_0_22829,plain,
( and(sum,or(b,t6)) != xor(t7,or(a,t6))
| xor(t7,or(a,t6)) = and(sum,or(b,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(sum,or(b,t6)))),bind(Y0,$fot(xor(t7,or(a,t6))))]]) ).
cnf(refute_0_22830,plain,
xor(t7,or(a,t6)) = and(sum,or(b,t6)),
inference(resolve,[$cnf( $equal(and(sum,or(b,t6)),xor(t7,or(a,t6))) )],[refute_0_22828,refute_0_22829]) ).
cnf(refute_0_22831,plain,
( not(and(t7,or(a,t6))) != xor(t7,or(a,t6))
| xor(t7,or(a,t6)) != and(sum,or(b,t6))
| not(and(t7,or(a,t6))) = and(sum,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(t7,or(a,t6))),and(sum,or(b,t6))) ),[0],$fot(xor(t7,or(a,t6)))]]) ).
cnf(refute_0_22832,plain,
( not(and(t7,or(a,t6))) != xor(t7,or(a,t6))
| not(and(t7,or(a,t6))) = and(sum,or(b,t6)) ),
inference(resolve,[$cnf( $equal(xor(t7,or(a,t6)),and(sum,or(b,t6))) )],[refute_0_22830,refute_0_22831]) ).
cnf(refute_0_22833,plain,
( xor(cin,not(and(t3,t5))) != xor(t7,or(a,t6))
| not(and(t7,or(a,t6))) = and(sum,or(b,t6)) ),
inference(resolve,[$cnf( $equal(not(and(t7,or(a,t6))),xor(t7,or(a,t6))) )],[refute_0_22738,refute_0_22832]) ).
cnf(refute_0_22834,plain,
not(and(t7,or(a,t6))) = and(sum,or(b,t6)),
inference(resolve,[$cnf( $equal(xor(cin,not(and(t3,t5))),xor(t7,or(a,t6))) )],[refute_0_22733,refute_0_22833]) ).
cnf(refute_0_22835,plain,
( not(and(t7,or(a,t6))) != and(sum,or(b,t6))
| not(xor(cin,and(t3,t5))) != not(and(t7,or(a,t6)))
| not(xor(cin,and(t3,t5))) = and(sum,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(cin,and(t3,t5))),not(and(t7,or(a,t6)))) ),[1],$fot(and(sum,or(b,t6)))]]) ).
cnf(refute_0_22836,plain,
( not(xor(cin,and(t3,t5))) != not(and(t7,or(a,t6)))
| not(xor(cin,and(t3,t5))) = and(sum,or(b,t6)) ),
inference(resolve,[$cnf( $equal(not(and(t7,or(a,t6))),and(sum,or(b,t6))) )],[refute_0_22834,refute_0_22835]) ).
cnf(refute_0_22837,plain,
not(xor(cin,and(t3,t5))) = and(sum,or(b,t6)),
inference(resolve,[$cnf( $equal(not(xor(cin,and(t3,t5))),not(and(t7,or(a,t6)))) )],[refute_0_22729,refute_0_22836]) ).
cnf(refute_0_22838,plain,
not(not(and(sum,or(b,t6)))) = and(sum,or(b,t6)),
inference(subst,[],[not_involution:[bind(X,$fot(and(sum,or(b,t6))))]]) ).
cnf(refute_0_22839,plain,
xor(carry,xor(carry,xor(t7,and(t2,not(t6))))) = xor(t7,and(t2,not(t6))),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(carry)),bind(X_335,$fot(xor(t7,and(t2,not(t6)))))]]) ).
cnf(refute_0_22840,plain,
xor(cin,xor(t1,and(t2,not(t6)))) = xor(carry,xor(t7,and(t2,not(t6)))),
inference(subst,[],[refute_0_15479:[bind(Z,$fot(and(t2,not(t6))))]]) ).
cnf(refute_0_22841,plain,
xor(t1,xor(t3,or(t3,and(t2,not(t6))))) = xor(b,or(t3,and(t2,not(t6)))),
inference(subst,[],[refute_0_8856:[bind(Z,$fot(or(t3,and(t2,not(t6)))))]]) ).
cnf(refute_0_22842,plain,
xor(t3,xor(t3,and(t2,not(t6)))) = and(t2,not(t6)),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(t3)),bind(X_335,$fot(and(t2,not(t6))))]]) ).
cnf(refute_0_22843,plain,
not(and(or(t6,and(t3,t4)),not(t3))) = not(and(not(t3),or(t6,and(t3,t4)))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(not(t3))),bind(X_32,$fot(or(t6,and(t3,t4))))]]) ).
cnf(refute_0_22844,plain,
or(and(t3,not(or(t6,and(t3,t4)))),and(not(t3),or(t6,and(t3,t4)))) = xor(t3,or(t6,and(t3,t4))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t3)),bind(Y,$fot(or(t6,and(t3,t4))))]]) ).
cnf(refute_0_22845,plain,
and(and(t3,and(t4,xor(t3,t4))),X_222) = and(t3,and(and(t4,xor(t3,t4)),X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(t3)),bind(Y,$fot(and(t4,xor(t3,t4)))),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_22846,plain,
and(and(t3,t4),not(and(t3,t4))) = ll0,
inference(subst,[],[and_complement:[bind(X,$fot(and(t3,t4)))]]) ).
cnf(refute_0_22847,plain,
( and(and(t3,t4),not(and(t3,t4))) != ll0
| not(and(t3,t4)) != xor(t3,t4)
| and(and(t3,t4),xor(t3,t4)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t3,t4),not(and(t3,t4))),ll0) ),[0,1],$fot(xor(t3,t4))]]) ).
cnf(refute_0_22848,plain,
( and(and(t3,t4),not(and(t3,t4))) != ll0
| and(and(t3,t4),xor(t3,t4)) = ll0 ),
inference(resolve,[$cnf( $equal(not(and(t3,t4)),xor(t3,t4)) )],[refute_0_14207,refute_0_22847]) ).
cnf(refute_0_22849,plain,
and(and(t3,t4),xor(t3,t4)) = ll0,
inference(resolve,[$cnf( $equal(and(and(t3,t4),not(and(t3,t4))),ll0) )],[refute_0_22846,refute_0_22848]) ).
cnf(refute_0_22850,plain,
and(and(t3,t4),xor(t3,t4)) = and(t3,and(t4,xor(t3,t4))),
inference(subst,[],[and_associative:[bind(X,$fot(t3)),bind(Y,$fot(t4)),bind(Z,$fot(xor(t3,t4)))]]) ).
cnf(refute_0_22851,plain,
( and(and(t3,t4),xor(t3,t4)) != and(t3,and(t4,xor(t3,t4)))
| and(and(t3,t4),xor(t3,t4)) != ll0
| and(t3,and(t4,xor(t3,t4))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t3,t4),xor(t3,t4)),ll0) ),[0],$fot(and(t3,and(t4,xor(t3,t4))))]]) ).
cnf(refute_0_22852,plain,
( and(and(t3,t4),xor(t3,t4)) != ll0
| and(t3,and(t4,xor(t3,t4))) = ll0 ),
inference(resolve,[$cnf( $equal(and(and(t3,t4),xor(t3,t4)),and(t3,and(t4,xor(t3,t4)))) )],[refute_0_22850,refute_0_22851]) ).
cnf(refute_0_22853,plain,
and(t3,and(t4,xor(t3,t4))) = ll0,
inference(resolve,[$cnf( $equal(and(and(t3,t4),xor(t3,t4)),ll0) )],[refute_0_22849,refute_0_22852]) ).
cnf(refute_0_22854,plain,
( and(and(t3,and(t4,xor(t3,t4))),X_222) != and(t3,and(and(t4,xor(t3,t4)),X_222))
| and(t3,and(t4,xor(t3,t4))) != ll0
| and(ll0,X_222) = and(t3,and(and(t4,xor(t3,t4)),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t3,and(t4,xor(t3,t4))),X_222),and(t3,and(and(t4,xor(t3,t4)),X_222))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_22855,plain,
( and(and(t3,and(t4,xor(t3,t4))),X_222) != and(t3,and(and(t4,xor(t3,t4)),X_222))
| and(ll0,X_222) = and(t3,and(and(t4,xor(t3,t4)),X_222)) ),
inference(resolve,[$cnf( $equal(and(t3,and(t4,xor(t3,t4))),ll0) )],[refute_0_22853,refute_0_22854]) ).
cnf(refute_0_22856,plain,
and(ll0,X_222) = and(t3,and(and(t4,xor(t3,t4)),X_222)),
inference(resolve,[$cnf( $equal(and(and(t3,and(t4,xor(t3,t4))),X_222),and(t3,and(and(t4,xor(t3,t4)),X_222))) )],[refute_0_22845,refute_0_22855]) ).
cnf(refute_0_22857,plain,
( and(ll0,X_222) != and(t3,and(and(t4,xor(t3,t4)),X_222))
| and(ll0,X_222) != ll0
| ll0 = and(t3,and(and(t4,xor(t3,t4)),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(ll0,X_222),and(t3,and(and(t4,xor(t3,t4)),X_222))) ),[0],$fot(ll0)]]) ).
cnf(refute_0_22858,plain,
( and(ll0,X_222) != and(t3,and(and(t4,xor(t3,t4)),X_222))
| ll0 = and(t3,and(and(t4,xor(t3,t4)),X_222)) ),
inference(resolve,[$cnf( $equal(and(ll0,X_222),ll0) )],[refute_0_873,refute_0_22857]) ).
cnf(refute_0_22859,plain,
and(and(t4,xor(t3,t4)),X_222) = and(t4,and(xor(t3,t4),X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(t4)),bind(Y,$fot(xor(t3,t4))),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_22860,plain,
and(t3,and(and(t4,xor(t3,t4)),X_222)) = and(t3,and(and(t4,xor(t3,t4)),X_222)),
introduced(tautology,[refl,[$fot(and(t3,and(and(t4,xor(t3,t4)),X_222)))]]) ).
cnf(refute_0_22861,plain,
( and(and(t4,xor(t3,t4)),X_222) != and(t4,and(xor(t3,t4),X_222))
| and(t3,and(and(t4,xor(t3,t4)),X_222)) != and(t3,and(and(t4,xor(t3,t4)),X_222))
| and(t3,and(and(t4,xor(t3,t4)),X_222)) = and(t3,and(t4,and(xor(t3,t4),X_222))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,and(and(t4,xor(t3,t4)),X_222)),and(t3,and(and(t4,xor(t3,t4)),X_222))) ),[1,1],$fot(and(t4,and(xor(t3,t4),X_222)))]]) ).
cnf(refute_0_22862,plain,
( and(and(t4,xor(t3,t4)),X_222) != and(t4,and(xor(t3,t4),X_222))
| and(t3,and(and(t4,xor(t3,t4)),X_222)) = and(t3,and(t4,and(xor(t3,t4),X_222))) ),
inference(resolve,[$cnf( $equal(and(t3,and(and(t4,xor(t3,t4)),X_222)),and(t3,and(and(t4,xor(t3,t4)),X_222))) )],[refute_0_22860,refute_0_22861]) ).
cnf(refute_0_22863,plain,
and(t3,and(and(t4,xor(t3,t4)),X_222)) = and(t3,and(t4,and(xor(t3,t4),X_222))),
inference(resolve,[$cnf( $equal(and(and(t4,xor(t3,t4)),X_222),and(t4,and(xor(t3,t4),X_222))) )],[refute_0_22859,refute_0_22862]) ).
cnf(refute_0_22864,plain,
( and(t3,and(and(t4,xor(t3,t4)),X_222)) != and(t3,and(t4,and(xor(t3,t4),X_222)))
| ll0 != and(t3,and(and(t4,xor(t3,t4)),X_222))
| ll0 = and(t3,and(t4,and(xor(t3,t4),X_222))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(t3,and(and(t4,xor(t3,t4)),X_222))) ),[1],$fot(and(t3,and(t4,and(xor(t3,t4),X_222))))]]) ).
cnf(refute_0_22865,plain,
( ll0 != and(t3,and(and(t4,xor(t3,t4)),X_222))
| ll0 = and(t3,and(t4,and(xor(t3,t4),X_222))) ),
inference(resolve,[$cnf( $equal(and(t3,and(and(t4,xor(t3,t4)),X_222)),and(t3,and(t4,and(xor(t3,t4),X_222)))) )],[refute_0_22863,refute_0_22864]) ).
cnf(refute_0_22866,plain,
( and(ll0,X_222) != and(t3,and(and(t4,xor(t3,t4)),X_222))
| ll0 = and(t3,and(t4,and(xor(t3,t4),X_222))) ),
inference(resolve,[$cnf( $equal(ll0,and(t3,and(and(t4,xor(t3,t4)),X_222))) )],[refute_0_22858,refute_0_22865]) ).
cnf(refute_0_22867,plain,
ll0 = and(t3,and(t4,and(xor(t3,t4),X_222))),
inference(resolve,[$cnf( $equal(and(ll0,X_222),and(t3,and(and(t4,xor(t3,t4)),X_222))) )],[refute_0_22856,refute_0_22866]) ).
cnf(refute_0_22868,plain,
ll0 = and(t3,and(t4,and(xor(t3,t4),not(t6)))),
inference(subst,[],[refute_0_22867:[bind(X_222,$fot(not(t6)))]]) ).
cnf(refute_0_22869,plain,
and(not(t6),X_300) = and(t4,and(not(t6),X_300)),
inference(subst,[],[refute_0_12832:[bind(X_222,$fot(X_300))]]) ).
cnf(refute_0_22870,plain,
and(X_300,not(t6)) = and(not(t6),X_300),
inference(subst,[],[and_commutative:[bind(X,$fot(X_300)),bind(Y,$fot(not(t6)))]]) ).
cnf(refute_0_22871,plain,
( and(X_300,not(t6)) != and(not(t6),X_300)
| and(not(t6),X_300) = and(X_300,not(t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X_300,not(t6)))),bind(Y0,$fot(and(not(t6),X_300)))]]) ).
cnf(refute_0_22872,plain,
and(not(t6),X_300) = and(X_300,not(t6)),
inference(resolve,[$cnf( $equal(and(X_300,not(t6)),and(not(t6),X_300)) )],[refute_0_22870,refute_0_22871]) ).
cnf(refute_0_22873,plain,
( and(not(t6),X_300) != and(X_300,not(t6))
| and(not(t6),X_300) != and(t4,and(not(t6),X_300))
| and(not(t6),X_300) = and(t4,and(X_300,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),X_300),and(t4,and(not(t6),X_300))) ),[1,1],$fot(and(X_300,not(t6)))]]) ).
cnf(refute_0_22874,plain,
( and(not(t6),X_300) != and(t4,and(not(t6),X_300))
| and(not(t6),X_300) = and(t4,and(X_300,not(t6))) ),
inference(resolve,[$cnf( $equal(and(not(t6),X_300),and(X_300,not(t6))) )],[refute_0_22872,refute_0_22873]) ).
cnf(refute_0_22875,plain,
and(not(t6),X_300) = and(t4,and(X_300,not(t6))),
inference(resolve,[$cnf( $equal(and(not(t6),X_300),and(t4,and(not(t6),X_300))) )],[refute_0_22869,refute_0_22874]) ).
cnf(refute_0_22876,plain,
and(not(t6),xor(t3,t4)) = and(t4,and(xor(t3,t4),not(t6))),
inference(subst,[],[refute_0_22875:[bind(X_300,$fot(xor(t3,t4)))]]) ).
cnf(refute_0_22877,plain,
( and(not(t6),xor(t3,t4)) != and(t4,and(xor(t3,t4),not(t6)))
| and(t4,and(xor(t3,t4),not(t6))) = and(not(t6),xor(t3,t4)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t6),xor(t3,t4)))),bind(Y0,$fot(and(t4,and(xor(t3,t4),not(t6)))))]]) ).
cnf(refute_0_22878,plain,
and(t4,and(xor(t3,t4),not(t6))) = and(not(t6),xor(t3,t4)),
inference(resolve,[$cnf( $equal(and(not(t6),xor(t3,t4)),and(t4,and(xor(t3,t4),not(t6)))) )],[refute_0_22876,refute_0_22877]) ).
cnf(refute_0_22879,plain,
( and(t4,and(xor(t3,t4),not(t6))) != and(not(t6),xor(t3,t4))
| ll0 != and(t3,and(t4,and(xor(t3,t4),not(t6))))
| ll0 = and(t3,and(not(t6),xor(t3,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(t3,and(t4,and(xor(t3,t4),not(t6))))) ),[1,1],$fot(and(not(t6),xor(t3,t4)))]]) ).
cnf(refute_0_22880,plain,
( ll0 != and(t3,and(t4,and(xor(t3,t4),not(t6))))
| ll0 = and(t3,and(not(t6),xor(t3,t4))) ),
inference(resolve,[$cnf( $equal(and(t4,and(xor(t3,t4),not(t6))),and(not(t6),xor(t3,t4))) )],[refute_0_22878,refute_0_22879]) ).
cnf(refute_0_22881,plain,
ll0 = and(t3,and(not(t6),xor(t3,t4))),
inference(resolve,[$cnf( $equal(ll0,and(t3,and(t4,and(xor(t3,t4),not(t6))))) )],[refute_0_22868,refute_0_22880]) ).
cnf(refute_0_22882,plain,
not(or(X,and(t3,t4))) = and(not(X),not(and(t3,t4))),
inference(subst,[],[or_demorgan:[bind(Y,$fot(and(t3,t4)))]]) ).
cnf(refute_0_22883,plain,
( not(and(t3,t4)) != xor(t3,t4)
| not(or(X,and(t3,t4))) != and(not(X),not(and(t3,t4)))
| not(or(X,and(t3,t4))) = and(not(X),xor(t3,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,and(t3,t4))),and(not(X),not(and(t3,t4)))) ),[1,1],$fot(xor(t3,t4))]]) ).
cnf(refute_0_22884,plain,
( not(or(X,and(t3,t4))) != and(not(X),not(and(t3,t4)))
| not(or(X,and(t3,t4))) = and(not(X),xor(t3,t4)) ),
inference(resolve,[$cnf( $equal(not(and(t3,t4)),xor(t3,t4)) )],[refute_0_14207,refute_0_22883]) ).
cnf(refute_0_22885,plain,
not(or(X,and(t3,t4))) = and(not(X),xor(t3,t4)),
inference(resolve,[$cnf( $equal(not(or(X,and(t3,t4))),and(not(X),not(and(t3,t4)))) )],[refute_0_22882,refute_0_22884]) ).
cnf(refute_0_22886,plain,
( not(or(X,and(t3,t4))) != and(not(X),xor(t3,t4))
| and(not(X),xor(t3,t4)) = not(or(X,and(t3,t4))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X,and(t3,t4))))),bind(Y0,$fot(and(not(X),xor(t3,t4))))]]) ).
cnf(refute_0_22887,plain,
and(not(X),xor(t3,t4)) = not(or(X,and(t3,t4))),
inference(resolve,[$cnf( $equal(not(or(X,and(t3,t4))),and(not(X),xor(t3,t4))) )],[refute_0_22885,refute_0_22886]) ).
cnf(refute_0_22888,plain,
and(not(t6),xor(t3,t4)) = not(or(t6,and(t3,t4))),
inference(subst,[],[refute_0_22887:[bind(X,$fot(t6))]]) ).
cnf(refute_0_22889,plain,
and(t3,and(not(t6),xor(t3,t4))) = and(t3,and(not(t6),xor(t3,t4))),
introduced(tautology,[refl,[$fot(and(t3,and(not(t6),xor(t3,t4))))]]) ).
cnf(refute_0_22890,plain,
( and(not(t6),xor(t3,t4)) != not(or(t6,and(t3,t4)))
| and(t3,and(not(t6),xor(t3,t4))) != and(t3,and(not(t6),xor(t3,t4)))
| and(t3,and(not(t6),xor(t3,t4))) = and(t3,not(or(t6,and(t3,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,and(not(t6),xor(t3,t4))),and(t3,and(not(t6),xor(t3,t4)))) ),[1,1],$fot(not(or(t6,and(t3,t4))))]]) ).
cnf(refute_0_22891,plain,
( and(not(t6),xor(t3,t4)) != not(or(t6,and(t3,t4)))
| and(t3,and(not(t6),xor(t3,t4))) = and(t3,not(or(t6,and(t3,t4)))) ),
inference(resolve,[$cnf( $equal(and(t3,and(not(t6),xor(t3,t4))),and(t3,and(not(t6),xor(t3,t4)))) )],[refute_0_22889,refute_0_22890]) ).
cnf(refute_0_22892,plain,
and(t3,and(not(t6),xor(t3,t4))) = and(t3,not(or(t6,and(t3,t4)))),
inference(resolve,[$cnf( $equal(and(not(t6),xor(t3,t4)),not(or(t6,and(t3,t4)))) )],[refute_0_22888,refute_0_22891]) ).
cnf(refute_0_22893,plain,
( and(t3,and(not(t6),xor(t3,t4))) != and(t3,not(or(t6,and(t3,t4))))
| ll0 != and(t3,and(not(t6),xor(t3,t4)))
| ll0 = and(t3,not(or(t6,and(t3,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(t3,and(not(t6),xor(t3,t4)))) ),[1],$fot(and(t3,not(or(t6,and(t3,t4)))))]]) ).
cnf(refute_0_22894,plain,
( ll0 != and(t3,and(not(t6),xor(t3,t4)))
| ll0 = and(t3,not(or(t6,and(t3,t4)))) ),
inference(resolve,[$cnf( $equal(and(t3,and(not(t6),xor(t3,t4))),and(t3,not(or(t6,and(t3,t4))))) )],[refute_0_22892,refute_0_22893]) ).
cnf(refute_0_22895,plain,
ll0 = and(t3,not(or(t6,and(t3,t4)))),
inference(resolve,[$cnf( $equal(ll0,and(t3,and(not(t6),xor(t3,t4)))) )],[refute_0_22881,refute_0_22894]) ).
cnf(refute_0_22896,plain,
( ll0 != and(t3,not(or(t6,and(t3,t4))))
| and(t3,not(or(t6,and(t3,t4)))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(t3,not(or(t6,and(t3,t4))))))]]) ).
cnf(refute_0_22897,plain,
and(t3,not(or(t6,and(t3,t4)))) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(t3,not(or(t6,and(t3,t4))))) )],[refute_0_22895,refute_0_22896]) ).
cnf(refute_0_22898,plain,
( and(t3,not(or(t6,and(t3,t4)))) != ll0
| or(and(t3,not(or(t6,and(t3,t4)))),and(not(t3),or(t6,and(t3,t4)))) != xor(t3,or(t6,and(t3,t4)))
| or(ll0,and(not(t3),or(t6,and(t3,t4)))) = xor(t3,or(t6,and(t3,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t3,not(or(t6,and(t3,t4)))),and(not(t3),or(t6,and(t3,t4)))),xor(t3,or(t6,and(t3,t4)))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_22899,plain,
( or(and(t3,not(or(t6,and(t3,t4)))),and(not(t3),or(t6,and(t3,t4)))) != xor(t3,or(t6,and(t3,t4)))
| or(ll0,and(not(t3),or(t6,and(t3,t4)))) = xor(t3,or(t6,and(t3,t4))) ),
inference(resolve,[$cnf( $equal(and(t3,not(or(t6,and(t3,t4)))),ll0) )],[refute_0_22897,refute_0_22898]) ).
cnf(refute_0_22900,plain,
or(ll0,and(not(t3),or(t6,and(t3,t4)))) = xor(t3,or(t6,and(t3,t4))),
inference(resolve,[$cnf( $equal(or(and(t3,not(or(t6,and(t3,t4)))),and(not(t3),or(t6,and(t3,t4)))),xor(t3,or(t6,and(t3,t4)))) )],[refute_0_22844,refute_0_22899]) ).
cnf(refute_0_22901,plain,
or(ll0,and(not(t3),or(t6,and(t3,t4)))) = and(not(t3),or(t6,and(t3,t4))),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(t3),or(t6,and(t3,t4)))))]]) ).
cnf(refute_0_22902,plain,
( or(ll0,and(not(t3),or(t6,and(t3,t4)))) != and(not(t3),or(t6,and(t3,t4)))
| or(ll0,and(not(t3),or(t6,and(t3,t4)))) != xor(t3,or(t6,and(t3,t4)))
| and(not(t3),or(t6,and(t3,t4))) = xor(t3,or(t6,and(t3,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(t3),or(t6,and(t3,t4)))),xor(t3,or(t6,and(t3,t4)))) ),[0],$fot(and(not(t3),or(t6,and(t3,t4))))]]) ).
cnf(refute_0_22903,plain,
( or(ll0,and(not(t3),or(t6,and(t3,t4)))) != xor(t3,or(t6,and(t3,t4)))
| and(not(t3),or(t6,and(t3,t4))) = xor(t3,or(t6,and(t3,t4))) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t3),or(t6,and(t3,t4)))),and(not(t3),or(t6,and(t3,t4)))) )],[refute_0_22901,refute_0_22902]) ).
cnf(refute_0_22904,plain,
and(not(t3),or(t6,and(t3,t4))) = xor(t3,or(t6,and(t3,t4))),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t3),or(t6,and(t3,t4)))),xor(t3,or(t6,and(t3,t4)))) )],[refute_0_22900,refute_0_22903]) ).
cnf(refute_0_22905,plain,
( and(not(t3),or(t6,and(t3,t4))) != xor(t3,or(t6,and(t3,t4)))
| not(and(or(t6,and(t3,t4)),not(t3))) != not(and(not(t3),or(t6,and(t3,t4))))
| not(and(or(t6,and(t3,t4)),not(t3))) = not(xor(t3,or(t6,and(t3,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(t6,and(t3,t4)),not(t3))),not(and(not(t3),or(t6,and(t3,t4))))) ),[1,0],$fot(xor(t3,or(t6,and(t3,t4))))]]) ).
cnf(refute_0_22906,plain,
( not(and(or(t6,and(t3,t4)),not(t3))) != not(and(not(t3),or(t6,and(t3,t4))))
| not(and(or(t6,and(t3,t4)),not(t3))) = not(xor(t3,or(t6,and(t3,t4)))) ),
inference(resolve,[$cnf( $equal(and(not(t3),or(t6,and(t3,t4))),xor(t3,or(t6,and(t3,t4)))) )],[refute_0_22904,refute_0_22905]) ).
cnf(refute_0_22907,plain,
not(and(or(t6,and(t3,t4)),not(t3))) = not(xor(t3,or(t6,and(t3,t4)))),
inference(resolve,[$cnf( $equal(not(and(or(t6,and(t3,t4)),not(t3))),not(and(not(t3),or(t6,and(t3,t4))))) )],[refute_0_22843,refute_0_22906]) ).
cnf(refute_0_22908,plain,
not(and(not(t3),or(t6,and(t3,t4)))) = or(t3,not(or(t6,and(t3,t4)))),
inference(subst,[],[refute_0_787:[bind(X,$fot(t3)),bind(X_32,$fot(or(t6,and(t3,t4))))]]) ).
cnf(refute_0_22909,plain,
( not(and(not(t3),or(t6,and(t3,t4)))) != or(t3,not(or(t6,and(t3,t4))))
| not(and(or(t6,and(t3,t4)),not(t3))) != not(and(not(t3),or(t6,and(t3,t4))))
| not(and(or(t6,and(t3,t4)),not(t3))) = or(t3,not(or(t6,and(t3,t4)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(or(t6,and(t3,t4)),not(t3))))),bind(Y0,$fot(not(and(not(t3),or(t6,and(t3,t4)))))),bind(Z0,$fot(or(t3,not(or(t6,and(t3,t4))))))]]) ).
cnf(refute_0_22910,plain,
( not(and(not(t3),or(t6,and(t3,t4)))) != or(t3,not(or(t6,and(t3,t4))))
| not(and(or(t6,and(t3,t4)),not(t3))) = or(t3,not(or(t6,and(t3,t4)))) ),
inference(resolve,[$cnf( $equal(not(and(or(t6,and(t3,t4)),not(t3))),not(and(not(t3),or(t6,and(t3,t4))))) )],[refute_0_22843,refute_0_22909]) ).
cnf(refute_0_22911,plain,
not(and(or(t6,and(t3,t4)),not(t3))) = or(t3,not(or(t6,and(t3,t4)))),
inference(resolve,[$cnf( $equal(not(and(not(t3),or(t6,and(t3,t4)))),or(t3,not(or(t6,and(t3,t4))))) )],[refute_0_22908,refute_0_22910]) ).
cnf(refute_0_22912,plain,
( not(and(or(t6,and(t3,t4)),not(t3))) != not(xor(t3,or(t6,and(t3,t4))))
| not(and(or(t6,and(t3,t4)),not(t3))) != or(t3,not(or(t6,and(t3,t4))))
| or(t3,not(or(t6,and(t3,t4)))) = not(xor(t3,or(t6,and(t3,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(t6,and(t3,t4)),not(t3))),not(xor(t3,or(t6,and(t3,t4))))) ),[0],$fot(or(t3,not(or(t6,and(t3,t4)))))]]) ).
cnf(refute_0_22913,plain,
( not(and(or(t6,and(t3,t4)),not(t3))) != not(xor(t3,or(t6,and(t3,t4))))
| or(t3,not(or(t6,and(t3,t4)))) = not(xor(t3,or(t6,and(t3,t4)))) ),
inference(resolve,[$cnf( $equal(not(and(or(t6,and(t3,t4)),not(t3))),or(t3,not(or(t6,and(t3,t4))))) )],[refute_0_22911,refute_0_22912]) ).
cnf(refute_0_22914,plain,
or(t3,not(or(t6,and(t3,t4)))) = not(xor(t3,or(t6,and(t3,t4)))),
inference(resolve,[$cnf( $equal(not(and(or(t6,and(t3,t4)),not(t3))),not(xor(t3,or(t6,and(t3,t4))))) )],[refute_0_22907,refute_0_22913]) ).
cnf(refute_0_22915,plain,
and(not(t6),t2) = and(t2,not(t6)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t2)),bind(Y,$fot(not(t6)))]]) ).
cnf(refute_0_22916,plain,
not(or(t6,not(t2))) = and(not(t6),t2),
inference(subst,[],[refute_0_801:[bind(X,$fot(t2)),bind(X_25,$fot(t6))]]) ).
cnf(refute_0_22917,plain,
( and(not(t6),t2) != and(t2,not(t6))
| not(or(t6,not(t2))) != and(not(t6),t2)
| not(or(t6,not(t2))) = and(t2,not(t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(t6,not(t2))))),bind(Y0,$fot(and(not(t6),t2))),bind(Z0,$fot(and(t2,not(t6))))]]) ).
cnf(refute_0_22918,plain,
( and(not(t6),t2) != and(t2,not(t6))
| not(or(t6,not(t2))) = and(t2,not(t6)) ),
inference(resolve,[$cnf( $equal(not(or(t6,not(t2))),and(not(t6),t2)) )],[refute_0_22916,refute_0_22917]) ).
cnf(refute_0_22919,plain,
not(or(t6,not(t2))) = and(t2,not(t6)),
inference(resolve,[$cnf( $equal(and(not(t6),t2),and(t2,not(t6))) )],[refute_0_22915,refute_0_22918]) ).
cnf(refute_0_22920,plain,
or(t6,and(t3,t4)) = or(t6,and(t3,t4)),
introduced(tautology,[refl,[$fot(or(t6,and(t3,t4)))]]) ).
cnf(refute_0_22921,plain,
( and(t3,t4) != not(t2)
| or(t6,and(t3,t4)) != or(t6,and(t3,t4))
| or(t6,and(t3,t4)) = or(t6,not(t2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,and(t3,t4)),or(t6,and(t3,t4))) ),[1,1],$fot(not(t2))]]) ).
cnf(refute_0_22922,plain,
( and(t3,t4) != not(t2)
| or(t6,and(t3,t4)) = or(t6,not(t2)) ),
inference(resolve,[$cnf( $equal(or(t6,and(t3,t4)),or(t6,and(t3,t4))) )],[refute_0_22920,refute_0_22921]) ).
cnf(refute_0_22923,plain,
or(t6,and(t3,t4)) = or(t6,not(t2)),
inference(resolve,[$cnf( $equal(and(t3,t4),not(t2)) )],[refute_0_14224,refute_0_22922]) ).
cnf(refute_0_22924,plain,
not(or(t6,and(t3,t4))) = not(or(t6,and(t3,t4))),
introduced(tautology,[refl,[$fot(not(or(t6,and(t3,t4))))]]) ).
cnf(refute_0_22925,plain,
( not(or(t6,and(t3,t4))) != not(or(t6,and(t3,t4)))
| or(t6,and(t3,t4)) != or(t6,not(t2))
| not(or(t6,and(t3,t4))) = not(or(t6,not(t2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t6,and(t3,t4))),not(or(t6,and(t3,t4)))) ),[1,0],$fot(or(t6,not(t2)))]]) ).
cnf(refute_0_22926,plain,
( or(t6,and(t3,t4)) != or(t6,not(t2))
| not(or(t6,and(t3,t4))) = not(or(t6,not(t2))) ),
inference(resolve,[$cnf( $equal(not(or(t6,and(t3,t4))),not(or(t6,and(t3,t4)))) )],[refute_0_22924,refute_0_22925]) ).
cnf(refute_0_22927,plain,
not(or(t6,and(t3,t4))) = not(or(t6,not(t2))),
inference(resolve,[$cnf( $equal(or(t6,and(t3,t4)),or(t6,not(t2))) )],[refute_0_22923,refute_0_22926]) ).
cnf(refute_0_22928,plain,
( not(or(t6,and(t3,t4))) != not(or(t6,not(t2)))
| not(or(t6,not(t2))) != and(t2,not(t6))
| not(or(t6,and(t3,t4))) = and(t2,not(t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(t6,and(t3,t4))))),bind(Y0,$fot(not(or(t6,not(t2))))),bind(Z0,$fot(and(t2,not(t6))))]]) ).
cnf(refute_0_22929,plain,
( not(or(t6,not(t2))) != and(t2,not(t6))
| not(or(t6,and(t3,t4))) = and(t2,not(t6)) ),
inference(resolve,[$cnf( $equal(not(or(t6,and(t3,t4))),not(or(t6,not(t2)))) )],[refute_0_22927,refute_0_22928]) ).
cnf(refute_0_22930,plain,
not(or(t6,and(t3,t4))) = and(t2,not(t6)),
inference(resolve,[$cnf( $equal(not(or(t6,not(t2))),and(t2,not(t6))) )],[refute_0_22919,refute_0_22929]) ).
cnf(refute_0_22931,plain,
or(t3,not(or(t6,and(t3,t4)))) = or(t3,not(or(t6,and(t3,t4)))),
introduced(tautology,[refl,[$fot(or(t3,not(or(t6,and(t3,t4)))))]]) ).
cnf(refute_0_22932,plain,
( not(or(t6,and(t3,t4))) != and(t2,not(t6))
| or(t3,not(or(t6,and(t3,t4)))) != or(t3,not(or(t6,and(t3,t4))))
| or(t3,not(or(t6,and(t3,t4)))) = or(t3,and(t2,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,not(or(t6,and(t3,t4)))),or(t3,not(or(t6,and(t3,t4))))) ),[1,1],$fot(and(t2,not(t6)))]]) ).
cnf(refute_0_22933,plain,
( not(or(t6,and(t3,t4))) != and(t2,not(t6))
| or(t3,not(or(t6,and(t3,t4)))) = or(t3,and(t2,not(t6))) ),
inference(resolve,[$cnf( $equal(or(t3,not(or(t6,and(t3,t4)))),or(t3,not(or(t6,and(t3,t4))))) )],[refute_0_22931,refute_0_22932]) ).
cnf(refute_0_22934,plain,
or(t3,not(or(t6,and(t3,t4)))) = or(t3,and(t2,not(t6))),
inference(resolve,[$cnf( $equal(not(or(t6,and(t3,t4))),and(t2,not(t6))) )],[refute_0_22930,refute_0_22933]) ).
cnf(refute_0_22935,plain,
( or(t3,not(or(t6,and(t3,t4)))) != not(xor(t3,or(t6,and(t3,t4))))
| or(t3,not(or(t6,and(t3,t4)))) != or(t3,and(t2,not(t6)))
| or(t3,and(t2,not(t6))) = not(xor(t3,or(t6,and(t3,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,not(or(t6,and(t3,t4)))),not(xor(t3,or(t6,and(t3,t4))))) ),[0],$fot(or(t3,and(t2,not(t6))))]]) ).
cnf(refute_0_22936,plain,
( or(t3,not(or(t6,and(t3,t4)))) != not(xor(t3,or(t6,and(t3,t4))))
| or(t3,and(t2,not(t6))) = not(xor(t3,or(t6,and(t3,t4)))) ),
inference(resolve,[$cnf( $equal(or(t3,not(or(t6,and(t3,t4)))),or(t3,and(t2,not(t6)))) )],[refute_0_22934,refute_0_22935]) ).
cnf(refute_0_22937,plain,
xor(t3,or(t6,and(t3,t4))) = xor(t3,or(t6,and(t3,t4))),
introduced(tautology,[refl,[$fot(xor(t3,or(t6,and(t3,t4))))]]) ).
cnf(refute_0_22938,plain,
( or(t6,and(t3,t4)) != or(t6,not(t2))
| xor(t3,or(t6,and(t3,t4))) != xor(t3,or(t6,and(t3,t4)))
| xor(t3,or(t6,and(t3,t4))) = xor(t3,or(t6,not(t2))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,or(t6,and(t3,t4))),xor(t3,or(t6,and(t3,t4)))) ),[1,1],$fot(or(t6,not(t2)))]]) ).
cnf(refute_0_22939,plain,
( or(t6,and(t3,t4)) != or(t6,not(t2))
| xor(t3,or(t6,and(t3,t4))) = xor(t3,or(t6,not(t2))) ),
inference(resolve,[$cnf( $equal(xor(t3,or(t6,and(t3,t4))),xor(t3,or(t6,and(t3,t4)))) )],[refute_0_22937,refute_0_22938]) ).
cnf(refute_0_22940,plain,
xor(t3,or(t6,and(t3,t4))) = xor(t3,or(t6,not(t2))),
inference(resolve,[$cnf( $equal(or(t6,and(t3,t4)),or(t6,not(t2))) )],[refute_0_22923,refute_0_22939]) ).
cnf(refute_0_22941,plain,
not(xor(t3,or(t6,and(t3,t4)))) = not(xor(t3,or(t6,and(t3,t4)))),
introduced(tautology,[refl,[$fot(not(xor(t3,or(t6,and(t3,t4)))))]]) ).
cnf(refute_0_22942,plain,
( not(xor(t3,or(t6,and(t3,t4)))) != not(xor(t3,or(t6,and(t3,t4))))
| xor(t3,or(t6,and(t3,t4))) != xor(t3,or(t6,not(t2)))
| not(xor(t3,or(t6,and(t3,t4)))) = not(xor(t3,or(t6,not(t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t3,or(t6,and(t3,t4)))),not(xor(t3,or(t6,and(t3,t4))))) ),[1,0],$fot(xor(t3,or(t6,not(t2))))]]) ).
cnf(refute_0_22943,plain,
( xor(t3,or(t6,and(t3,t4))) != xor(t3,or(t6,not(t2)))
| not(xor(t3,or(t6,and(t3,t4)))) = not(xor(t3,or(t6,not(t2)))) ),
inference(resolve,[$cnf( $equal(not(xor(t3,or(t6,and(t3,t4)))),not(xor(t3,or(t6,and(t3,t4))))) )],[refute_0_22941,refute_0_22942]) ).
cnf(refute_0_22944,plain,
not(xor(t3,or(t6,and(t3,t4)))) = not(xor(t3,or(t6,not(t2)))),
inference(resolve,[$cnf( $equal(xor(t3,or(t6,and(t3,t4))),xor(t3,or(t6,not(t2)))) )],[refute_0_22940,refute_0_22943]) ).
cnf(refute_0_22945,plain,
( not(xor(t3,or(t6,and(t3,t4)))) != not(xor(t3,or(t6,not(t2))))
| or(t3,and(t2,not(t6))) != not(xor(t3,or(t6,and(t3,t4))))
| or(t3,and(t2,not(t6))) = not(xor(t3,or(t6,not(t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,and(t2,not(t6))),not(xor(t3,or(t6,and(t3,t4))))) ),[1],$fot(not(xor(t3,or(t6,not(t2)))))]]) ).
cnf(refute_0_22946,plain,
( or(t3,and(t2,not(t6))) != not(xor(t3,or(t6,and(t3,t4))))
| or(t3,and(t2,not(t6))) = not(xor(t3,or(t6,not(t2)))) ),
inference(resolve,[$cnf( $equal(not(xor(t3,or(t6,and(t3,t4)))),not(xor(t3,or(t6,not(t2))))) )],[refute_0_22944,refute_0_22945]) ).
cnf(refute_0_22947,plain,
( or(t3,not(or(t6,and(t3,t4)))) != not(xor(t3,or(t6,and(t3,t4))))
| or(t3,and(t2,not(t6))) = not(xor(t3,or(t6,not(t2)))) ),
inference(resolve,[$cnf( $equal(or(t3,and(t2,not(t6))),not(xor(t3,or(t6,and(t3,t4))))) )],[refute_0_22936,refute_0_22946]) ).
cnf(refute_0_22948,plain,
or(t3,and(t2,not(t6))) = not(xor(t3,or(t6,not(t2)))),
inference(resolve,[$cnf( $equal(or(t3,not(or(t6,and(t3,t4)))),not(xor(t3,or(t6,and(t3,t4))))) )],[refute_0_22914,refute_0_22947]) ).
cnf(refute_0_22949,plain,
xor(t3,and(not(t6),t2)) = xor(t3,and(not(t6),t2)),
introduced(tautology,[refl,[$fot(xor(t3,and(not(t6),t2)))]]) ).
cnf(refute_0_22950,plain,
( and(not(t6),t2) != and(t2,not(t6))
| xor(t3,and(not(t6),t2)) != xor(t3,and(not(t6),t2))
| xor(t3,and(not(t6),t2)) = xor(t3,and(t2,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,and(not(t6),t2)),xor(t3,and(not(t6),t2))) ),[1,1],$fot(and(t2,not(t6)))]]) ).
cnf(refute_0_22951,plain,
( and(not(t6),t2) != and(t2,not(t6))
| xor(t3,and(not(t6),t2)) = xor(t3,and(t2,not(t6))) ),
inference(resolve,[$cnf( $equal(xor(t3,and(not(t6),t2)),xor(t3,and(not(t6),t2))) )],[refute_0_22949,refute_0_22950]) ).
cnf(refute_0_22952,plain,
xor(t3,and(not(t6),t2)) = xor(t3,and(t2,not(t6))),
inference(resolve,[$cnf( $equal(and(not(t6),t2),and(t2,not(t6))) )],[refute_0_22915,refute_0_22951]) ).
cnf(refute_0_22953,plain,
not(xor(t3,or(t6,not(t2)))) = xor(t3,and(not(t6),t2)),
inference(subst,[],[refute_0_7796:[bind(X,$fot(t2)),bind(X_25,$fot(t6)),bind(X_377,$fot(t3))]]) ).
cnf(refute_0_22954,plain,
( not(xor(t3,or(t6,not(t2)))) != xor(t3,and(not(t6),t2))
| xor(t3,and(not(t6),t2)) != xor(t3,and(t2,not(t6)))
| not(xor(t3,or(t6,not(t2)))) = xor(t3,and(t2,not(t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t3,or(t6,not(t2)))))),bind(Y0,$fot(xor(t3,and(not(t6),t2)))),bind(Z0,$fot(xor(t3,and(t2,not(t6)))))]]) ).
cnf(refute_0_22955,plain,
( xor(t3,and(not(t6),t2)) != xor(t3,and(t2,not(t6)))
| not(xor(t3,or(t6,not(t2)))) = xor(t3,and(t2,not(t6))) ),
inference(resolve,[$cnf( $equal(not(xor(t3,or(t6,not(t2)))),xor(t3,and(not(t6),t2))) )],[refute_0_22953,refute_0_22954]) ).
cnf(refute_0_22956,plain,
not(xor(t3,or(t6,not(t2)))) = xor(t3,and(t2,not(t6))),
inference(resolve,[$cnf( $equal(xor(t3,and(not(t6),t2)),xor(t3,and(t2,not(t6)))) )],[refute_0_22952,refute_0_22955]) ).
cnf(refute_0_22957,plain,
( not(xor(t3,or(t6,not(t2)))) != xor(t3,and(t2,not(t6)))
| or(t3,and(t2,not(t6))) != not(xor(t3,or(t6,not(t2))))
| or(t3,and(t2,not(t6))) = xor(t3,and(t2,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,and(t2,not(t6))),not(xor(t3,or(t6,not(t2))))) ),[1],$fot(xor(t3,and(t2,not(t6))))]]) ).
cnf(refute_0_22958,plain,
( or(t3,and(t2,not(t6))) != not(xor(t3,or(t6,not(t2))))
| or(t3,and(t2,not(t6))) = xor(t3,and(t2,not(t6))) ),
inference(resolve,[$cnf( $equal(not(xor(t3,or(t6,not(t2)))),xor(t3,and(t2,not(t6)))) )],[refute_0_22956,refute_0_22957]) ).
cnf(refute_0_22959,plain,
or(t3,and(t2,not(t6))) = xor(t3,and(t2,not(t6))),
inference(resolve,[$cnf( $equal(or(t3,and(t2,not(t6))),not(xor(t3,or(t6,not(t2))))) )],[refute_0_22948,refute_0_22958]) ).
cnf(refute_0_22960,plain,
( or(t3,and(t2,not(t6))) != xor(t3,and(t2,not(t6)))
| xor(t3,and(t2,not(t6))) = or(t3,and(t2,not(t6))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(t3,and(t2,not(t6))))),bind(Y0,$fot(xor(t3,and(t2,not(t6)))))]]) ).
cnf(refute_0_22961,plain,
xor(t3,and(t2,not(t6))) = or(t3,and(t2,not(t6))),
inference(resolve,[$cnf( $equal(or(t3,and(t2,not(t6))),xor(t3,and(t2,not(t6)))) )],[refute_0_22959,refute_0_22960]) ).
cnf(refute_0_22962,plain,
( xor(t3,and(t2,not(t6))) != or(t3,and(t2,not(t6)))
| xor(t3,xor(t3,and(t2,not(t6)))) != and(t2,not(t6))
| xor(t3,or(t3,and(t2,not(t6)))) = and(t2,not(t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,xor(t3,and(t2,not(t6)))),and(t2,not(t6))) ),[0,1],$fot(or(t3,and(t2,not(t6))))]]) ).
cnf(refute_0_22963,plain,
( xor(t3,xor(t3,and(t2,not(t6)))) != and(t2,not(t6))
| xor(t3,or(t3,and(t2,not(t6)))) = and(t2,not(t6)) ),
inference(resolve,[$cnf( $equal(xor(t3,and(t2,not(t6))),or(t3,and(t2,not(t6)))) )],[refute_0_22961,refute_0_22962]) ).
cnf(refute_0_22964,plain,
xor(t3,or(t3,and(t2,not(t6)))) = and(t2,not(t6)),
inference(resolve,[$cnf( $equal(xor(t3,xor(t3,and(t2,not(t6)))),and(t2,not(t6))) )],[refute_0_22842,refute_0_22963]) ).
cnf(refute_0_22965,plain,
( xor(t1,xor(t3,or(t3,and(t2,not(t6))))) != xor(b,or(t3,and(t2,not(t6))))
| xor(t3,or(t3,and(t2,not(t6)))) != and(t2,not(t6))
| xor(t1,and(t2,not(t6))) = xor(b,or(t3,and(t2,not(t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,xor(t3,or(t3,and(t2,not(t6))))),xor(b,or(t3,and(t2,not(t6))))) ),[0,1],$fot(and(t2,not(t6)))]]) ).
cnf(refute_0_22966,plain,
( xor(t1,xor(t3,or(t3,and(t2,not(t6))))) != xor(b,or(t3,and(t2,not(t6))))
| xor(t1,and(t2,not(t6))) = xor(b,or(t3,and(t2,not(t6)))) ),
inference(resolve,[$cnf( $equal(xor(t3,or(t3,and(t2,not(t6)))),and(t2,not(t6))) )],[refute_0_22964,refute_0_22965]) ).
cnf(refute_0_22967,plain,
xor(t1,and(t2,not(t6))) = xor(b,or(t3,and(t2,not(t6)))),
inference(resolve,[$cnf( $equal(xor(t1,xor(t3,or(t3,and(t2,not(t6))))),xor(b,or(t3,and(t2,not(t6))))) )],[refute_0_22841,refute_0_22966]) ).
cnf(refute_0_22968,plain,
or(and(xor(b,t4),not(Y)),and(not(xor(b,t4)),Y)) = xor(xor(b,t4),Y),
inference(subst,[],[refute_0_9:[bind(X,$fot(xor(b,t4)))]]) ).
cnf(refute_0_22969,plain,
( not(xor(b,t4)) != not(a)
| or(and(xor(b,t4),not(Y)),and(not(xor(b,t4)),Y)) != xor(xor(b,t4),Y)
| or(and(xor(b,t4),not(Y)),and(not(a),Y)) = xor(xor(b,t4),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(b,t4),not(Y)),and(not(xor(b,t4)),Y)),xor(xor(b,t4),Y)) ),[0,1,0],$fot(not(a))]]) ).
cnf(refute_0_22970,plain,
( or(and(xor(b,t4),not(Y)),and(not(xor(b,t4)),Y)) != xor(xor(b,t4),Y)
| or(and(xor(b,t4),not(Y)),and(not(a),Y)) = xor(xor(b,t4),Y) ),
inference(resolve,[$cnf( $equal(not(xor(b,t4)),not(a)) )],[refute_0_18867,refute_0_22969]) ).
cnf(refute_0_22971,plain,
or(and(xor(b,t4),not(Y)),and(not(a),Y)) = xor(xor(b,t4),Y),
inference(resolve,[$cnf( $equal(or(and(xor(b,t4),not(Y)),and(not(xor(b,t4)),Y)),xor(xor(b,t4),Y)) )],[refute_0_22968,refute_0_22970]) ).
cnf(refute_0_22972,plain,
or(and(xor(b,t4),not(Y)),and(not(a),Y)) = or(and(not(a),Y),and(xor(b,t4),not(Y))),
inference(subst,[],[refute_0_5:[bind(X,$fot(and(not(a),Y))),bind(Y,$fot(and(xor(b,t4),not(Y))))]]) ).
cnf(refute_0_22973,plain,
( or(and(xor(b,t4),not(Y)),and(not(a),Y)) != or(and(not(a),Y),and(xor(b,t4),not(Y)))
| or(and(xor(b,t4),not(Y)),and(not(a),Y)) != xor(xor(b,t4),Y)
| or(and(not(a),Y),and(xor(b,t4),not(Y))) = xor(xor(b,t4),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(b,t4),not(Y)),and(not(a),Y)),xor(xor(b,t4),Y)) ),[0],$fot(or(and(not(a),Y),and(xor(b,t4),not(Y))))]]) ).
cnf(refute_0_22974,plain,
( or(and(xor(b,t4),not(Y)),and(not(a),Y)) != xor(xor(b,t4),Y)
| or(and(not(a),Y),and(xor(b,t4),not(Y))) = xor(xor(b,t4),Y) ),
inference(resolve,[$cnf( $equal(or(and(xor(b,t4),not(Y)),and(not(a),Y)),or(and(not(a),Y),and(xor(b,t4),not(Y)))) )],[refute_0_22972,refute_0_22973]) ).
cnf(refute_0_22975,plain,
xor(xor(b,t4),Y) = xor(b,xor(t4,Y)),
inference(subst,[],[refute_0_526:[bind(X,$fot(b)),bind(Y,$fot(t4)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_22976,plain,
( or(and(not(a),Y),and(xor(b,t4),not(Y))) != xor(xor(b,t4),Y)
| xor(xor(b,t4),Y) != xor(b,xor(t4,Y))
| or(and(not(a),Y),and(xor(b,t4),not(Y))) = xor(b,xor(t4,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(and(not(a),Y),and(xor(b,t4),not(Y))),xor(b,xor(t4,Y))) ),[0],$fot(xor(xor(b,t4),Y))]]) ).
cnf(refute_0_22977,plain,
( or(and(not(a),Y),and(xor(b,t4),not(Y))) != xor(xor(b,t4),Y)
| or(and(not(a),Y),and(xor(b,t4),not(Y))) = xor(b,xor(t4,Y)) ),
inference(resolve,[$cnf( $equal(xor(xor(b,t4),Y),xor(b,xor(t4,Y))) )],[refute_0_22975,refute_0_22976]) ).
cnf(refute_0_22978,plain,
( or(and(xor(b,t4),not(Y)),and(not(a),Y)) != xor(xor(b,t4),Y)
| or(and(not(a),Y),and(xor(b,t4),not(Y))) = xor(b,xor(t4,Y)) ),
inference(resolve,[$cnf( $equal(or(and(not(a),Y),and(xor(b,t4),not(Y))),xor(xor(b,t4),Y)) )],[refute_0_22974,refute_0_22977]) ).
cnf(refute_0_22979,plain,
or(and(not(a),Y),and(xor(b,t4),not(Y))) = xor(b,xor(t4,Y)),
inference(resolve,[$cnf( $equal(or(and(xor(b,t4),not(Y)),and(not(a),Y)),xor(xor(b,t4),Y)) )],[refute_0_22971,refute_0_22978]) ).
cnf(refute_0_22980,plain,
or(and(not(a),Y),and(a,not(Y))) = or(and(a,not(Y)),and(not(a),Y)),
inference(subst,[],[refute_0_5:[bind(X,$fot(and(a,not(Y)))),bind(Y,$fot(and(not(a),Y)))]]) ).
cnf(refute_0_22981,plain,
( or(and(a,not(Y)),and(not(a),Y)) != xor(a,Y)
| or(and(not(a),Y),and(a,not(Y))) != or(and(a,not(Y)),and(not(a),Y))
| or(and(not(a),Y),and(a,not(Y))) = xor(a,Y) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(not(a),Y),and(a,not(Y))))),bind(Y0,$fot(or(and(a,not(Y)),and(not(a),Y)))),bind(Z0,$fot(xor(a,Y)))]]) ).
cnf(refute_0_22982,plain,
( or(and(a,not(Y)),and(not(a),Y)) != xor(a,Y)
| or(and(not(a),Y),and(a,not(Y))) = xor(a,Y) ),
inference(resolve,[$cnf( $equal(or(and(not(a),Y),and(a,not(Y))),or(and(a,not(Y)),and(not(a),Y))) )],[refute_0_22980,refute_0_22981]) ).
cnf(refute_0_22983,plain,
or(and(not(a),Y),and(a,not(Y))) = xor(a,Y),
inference(resolve,[$cnf( $equal(or(and(a,not(Y)),and(not(a),Y)),xor(a,Y)) )],[refute_0_10085,refute_0_22982]) ).
cnf(refute_0_22984,plain,
not(or(not(xor(b,t4)),X_26)) = and(xor(b,t4),not(X_26)),
inference(subst,[],[refute_0_159:[bind(X,$fot(xor(b,t4)))]]) ).
cnf(refute_0_22985,plain,
( not(or(not(xor(b,t4)),X_26)) != and(xor(b,t4),not(X_26))
| not(xor(b,t4)) != not(a)
| not(or(not(a),X_26)) = and(xor(b,t4),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(xor(b,t4)),X_26)),and(xor(b,t4),not(X_26))) ),[0,0,0],$fot(not(a))]]) ).
cnf(refute_0_22986,plain,
( not(or(not(xor(b,t4)),X_26)) != and(xor(b,t4),not(X_26))
| not(or(not(a),X_26)) = and(xor(b,t4),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(xor(b,t4)),not(a)) )],[refute_0_18867,refute_0_22985]) ).
cnf(refute_0_22987,plain,
not(or(not(a),X_26)) = and(xor(b,t4),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(not(xor(b,t4)),X_26)),and(xor(b,t4),not(X_26))) )],[refute_0_22984,refute_0_22986]) ).
cnf(refute_0_22988,plain,
not(or(not(a),X_26)) = and(a,not(X_26)),
inference(subst,[],[refute_0_159:[bind(X,$fot(a))]]) ).
cnf(refute_0_22989,plain,
( not(or(not(a),X_26)) != and(a,not(X_26))
| not(or(not(a),X_26)) != and(xor(b,t4),not(X_26))
| and(a,not(X_26)) = and(xor(b,t4),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(a),X_26)),and(xor(b,t4),not(X_26))) ),[0],$fot(and(a,not(X_26)))]]) ).
cnf(refute_0_22990,plain,
( not(or(not(a),X_26)) != and(xor(b,t4),not(X_26))
| and(a,not(X_26)) = and(xor(b,t4),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(or(not(a),X_26)),and(a,not(X_26))) )],[refute_0_22988,refute_0_22989]) ).
cnf(refute_0_22991,plain,
and(a,not(X_26)) = and(xor(b,t4),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(not(a),X_26)),and(xor(b,t4),not(X_26))) )],[refute_0_22987,refute_0_22990]) ).
cnf(refute_0_22992,plain,
( and(a,not(X_26)) != and(xor(b,t4),not(X_26))
| and(xor(b,t4),not(X_26)) = and(a,not(X_26)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(a,not(X_26)))),bind(Y0,$fot(and(xor(b,t4),not(X_26))))]]) ).
cnf(refute_0_22993,plain,
and(xor(b,t4),not(X_26)) = and(a,not(X_26)),
inference(resolve,[$cnf( $equal(and(a,not(X_26)),and(xor(b,t4),not(X_26))) )],[refute_0_22991,refute_0_22992]) ).
cnf(refute_0_22994,plain,
and(xor(b,t4),not(Y)) = and(a,not(Y)),
inference(subst,[],[refute_0_22993:[bind(X_26,$fot(Y))]]) ).
cnf(refute_0_22995,plain,
or(and(not(a),Y),and(xor(b,t4),not(Y))) = or(and(not(a),Y),and(xor(b,t4),not(Y))),
introduced(tautology,[refl,[$fot(or(and(not(a),Y),and(xor(b,t4),not(Y))))]]) ).
cnf(refute_0_22996,plain,
( and(xor(b,t4),not(Y)) != and(a,not(Y))
| or(and(not(a),Y),and(xor(b,t4),not(Y))) != or(and(not(a),Y),and(xor(b,t4),not(Y)))
| or(and(not(a),Y),and(xor(b,t4),not(Y))) = or(and(not(a),Y),and(a,not(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(not(a),Y),and(xor(b,t4),not(Y))),or(and(not(a),Y),and(xor(b,t4),not(Y)))) ),[1,1],$fot(and(a,not(Y)))]]) ).
cnf(refute_0_22997,plain,
( and(xor(b,t4),not(Y)) != and(a,not(Y))
| or(and(not(a),Y),and(xor(b,t4),not(Y))) = or(and(not(a),Y),and(a,not(Y))) ),
inference(resolve,[$cnf( $equal(or(and(not(a),Y),and(xor(b,t4),not(Y))),or(and(not(a),Y),and(xor(b,t4),not(Y)))) )],[refute_0_22995,refute_0_22996]) ).
cnf(refute_0_22998,plain,
or(and(not(a),Y),and(xor(b,t4),not(Y))) = or(and(not(a),Y),and(a,not(Y))),
inference(resolve,[$cnf( $equal(and(xor(b,t4),not(Y)),and(a,not(Y))) )],[refute_0_22994,refute_0_22997]) ).
cnf(refute_0_22999,plain,
( or(and(not(a),Y),and(a,not(Y))) != xor(a,Y)
| or(and(not(a),Y),and(xor(b,t4),not(Y))) != or(and(not(a),Y),and(a,not(Y)))
| or(and(not(a),Y),and(xor(b,t4),not(Y))) = xor(a,Y) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(not(a),Y),and(xor(b,t4),not(Y))))),bind(Y0,$fot(or(and(not(a),Y),and(a,not(Y))))),bind(Z0,$fot(xor(a,Y)))]]) ).
cnf(refute_0_23000,plain,
( or(and(not(a),Y),and(a,not(Y))) != xor(a,Y)
| or(and(not(a),Y),and(xor(b,t4),not(Y))) = xor(a,Y) ),
inference(resolve,[$cnf( $equal(or(and(not(a),Y),and(xor(b,t4),not(Y))),or(and(not(a),Y),and(a,not(Y)))) )],[refute_0_22998,refute_0_22999]) ).
cnf(refute_0_23001,plain,
or(and(not(a),Y),and(xor(b,t4),not(Y))) = xor(a,Y),
inference(resolve,[$cnf( $equal(or(and(not(a),Y),and(a,not(Y))),xor(a,Y)) )],[refute_0_22983,refute_0_23000]) ).
cnf(refute_0_23002,plain,
( or(and(not(a),Y),and(xor(b,t4),not(Y))) != xor(a,Y)
| or(and(not(a),Y),and(xor(b,t4),not(Y))) != xor(b,xor(t4,Y))
| xor(a,Y) = xor(b,xor(t4,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(not(a),Y),and(xor(b,t4),not(Y))),xor(b,xor(t4,Y))) ),[0],$fot(xor(a,Y))]]) ).
cnf(refute_0_23003,plain,
( or(and(not(a),Y),and(xor(b,t4),not(Y))) != xor(b,xor(t4,Y))
| xor(a,Y) = xor(b,xor(t4,Y)) ),
inference(resolve,[$cnf( $equal(or(and(not(a),Y),and(xor(b,t4),not(Y))),xor(a,Y)) )],[refute_0_23001,refute_0_23002]) ).
cnf(refute_0_23004,plain,
xor(a,Y) = xor(b,xor(t4,Y)),
inference(resolve,[$cnf( $equal(or(and(not(a),Y),and(xor(b,t4),not(Y))),xor(b,xor(t4,Y))) )],[refute_0_22979,refute_0_23003]) ).
cnf(refute_0_23005,plain,
( xor(a,Y) != xor(b,xor(t4,Y))
| xor(b,xor(t4,Y)) = xor(a,Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(a,Y))),bind(Y0,$fot(xor(b,xor(t4,Y))))]]) ).
cnf(refute_0_23006,plain,
xor(b,xor(t4,Y)) = xor(a,Y),
inference(resolve,[$cnf( $equal(xor(a,Y),xor(b,xor(t4,Y))) )],[refute_0_23004,refute_0_23005]) ).
cnf(refute_0_23007,plain,
xor(b,xor(t4,and(t2,t6))) = xor(a,and(t2,t6)),
inference(subst,[],[refute_0_23006:[bind(Y,$fot(and(t2,t6)))]]) ).
cnf(refute_0_23008,plain,
xor(t4,xor(t4,or(t3,and(t2,not(t6))))) = or(t3,and(t2,not(t6))),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(t4)),bind(X_335,$fot(or(t3,and(t2,not(t6)))))]]) ).
cnf(refute_0_23009,plain,
xor(a,xor(b,or(t3,and(t2,not(t6))))) = xor(t4,or(t3,and(t2,not(t6)))),
inference(subst,[],[refute_0_5949:[bind(Z,$fot(or(t3,and(t2,not(t6)))))]]) ).
cnf(refute_0_23010,plain,
( xor(t1,and(t2,not(t6))) != xor(b,or(t3,and(t2,not(t6))))
| xor(b,or(t3,and(t2,not(t6)))) = xor(t1,and(t2,not(t6))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t1,and(t2,not(t6))))),bind(Y0,$fot(xor(b,or(t3,and(t2,not(t6))))))]]) ).
cnf(refute_0_23011,plain,
xor(b,or(t3,and(t2,not(t6)))) = xor(t1,and(t2,not(t6))),
inference(resolve,[$cnf( $equal(xor(t1,and(t2,not(t6))),xor(b,or(t3,and(t2,not(t6))))) )],[refute_0_22967,refute_0_23010]) ).
cnf(refute_0_23012,plain,
( xor(a,xor(b,or(t3,and(t2,not(t6))))) != xor(t4,or(t3,and(t2,not(t6))))
| xor(b,or(t3,and(t2,not(t6)))) != xor(t1,and(t2,not(t6)))
| xor(a,xor(t1,and(t2,not(t6)))) = xor(t4,or(t3,and(t2,not(t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(b,or(t3,and(t2,not(t6))))),xor(t4,or(t3,and(t2,not(t6))))) ),[0,1],$fot(xor(t1,and(t2,not(t6))))]]) ).
cnf(refute_0_23013,plain,
( xor(a,xor(b,or(t3,and(t2,not(t6))))) != xor(t4,or(t3,and(t2,not(t6))))
| xor(a,xor(t1,and(t2,not(t6)))) = xor(t4,or(t3,and(t2,not(t6)))) ),
inference(resolve,[$cnf( $equal(xor(b,or(t3,and(t2,not(t6)))),xor(t1,and(t2,not(t6)))) )],[refute_0_23011,refute_0_23012]) ).
cnf(refute_0_23014,plain,
xor(a,xor(t1,and(t2,not(t6)))) = xor(t4,or(t3,and(t2,not(t6)))),
inference(resolve,[$cnf( $equal(xor(a,xor(b,or(t3,and(t2,not(t6))))),xor(t4,or(t3,and(t2,not(t6))))) )],[refute_0_23009,refute_0_23013]) ).
cnf(refute_0_23015,plain,
xor(a,xor(t1,and(t2,not(t6)))) = xor(t2,and(t2,not(t6))),
inference(subst,[],[refute_0_370:[bind(X_335,$fot(and(t2,not(t6))))]]) ).
cnf(refute_0_23016,plain,
( xor(a,xor(t1,and(t2,not(t6)))) != xor(t2,and(t2,not(t6)))
| xor(a,xor(t1,and(t2,not(t6)))) != xor(t4,or(t3,and(t2,not(t6))))
| xor(t2,and(t2,not(t6))) = xor(t4,or(t3,and(t2,not(t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t1,and(t2,not(t6)))),xor(t4,or(t3,and(t2,not(t6))))) ),[0],$fot(xor(t2,and(t2,not(t6))))]]) ).
cnf(refute_0_23017,plain,
( xor(a,xor(t1,and(t2,not(t6)))) != xor(t4,or(t3,and(t2,not(t6))))
| xor(t2,and(t2,not(t6))) = xor(t4,or(t3,and(t2,not(t6)))) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t1,and(t2,not(t6)))),xor(t2,and(t2,not(t6)))) )],[refute_0_23015,refute_0_23016]) ).
cnf(refute_0_23018,plain,
xor(t2,and(t2,not(t6))) = xor(t4,or(t3,and(t2,not(t6)))),
inference(resolve,[$cnf( $equal(xor(a,xor(t1,and(t2,not(t6)))),xor(t4,or(t3,and(t2,not(t6))))) )],[refute_0_23014,refute_0_23017]) ).
cnf(refute_0_23019,plain,
not(not(xor(t2,and(t2,not(t6))))) = xor(t2,and(t2,not(t6))),
inference(subst,[],[not_involution:[bind(X,$fot(xor(t2,and(t2,not(t6)))))]]) ).
cnf(refute_0_23020,plain,
not(xor(t4,or(t3,and(t2,not(t6))))) = xor(t4,not(or(t3,and(t2,not(t6))))),
inference(subst,[],[refute_0_1137:[bind(X_333,$fot(t4)),bind(X_334,$fot(or(t3,and(t2,not(t6)))))]]) ).
cnf(refute_0_23021,plain,
( xor(t2,and(t2,not(t6))) != xor(t4,or(t3,and(t2,not(t6))))
| xor(t4,or(t3,and(t2,not(t6)))) = xor(t2,and(t2,not(t6))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t2,and(t2,not(t6))))),bind(Y0,$fot(xor(t4,or(t3,and(t2,not(t6))))))]]) ).
cnf(refute_0_23022,plain,
xor(t4,or(t3,and(t2,not(t6)))) = xor(t2,and(t2,not(t6))),
inference(resolve,[$cnf( $equal(xor(t2,and(t2,not(t6))),xor(t4,or(t3,and(t2,not(t6))))) )],[refute_0_23018,refute_0_23021]) ).
cnf(refute_0_23023,plain,
( not(xor(t4,or(t3,and(t2,not(t6))))) != xor(t4,not(or(t3,and(t2,not(t6)))))
| xor(t4,or(t3,and(t2,not(t6)))) != xor(t2,and(t2,not(t6)))
| not(xor(t2,and(t2,not(t6)))) = xor(t4,not(or(t3,and(t2,not(t6))))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t4,or(t3,and(t2,not(t6))))),xor(t4,not(or(t3,and(t2,not(t6)))))) ),[0,0],$fot(xor(t2,and(t2,not(t6))))]]) ).
cnf(refute_0_23024,plain,
( not(xor(t4,or(t3,and(t2,not(t6))))) != xor(t4,not(or(t3,and(t2,not(t6)))))
| not(xor(t2,and(t2,not(t6)))) = xor(t4,not(or(t3,and(t2,not(t6))))) ),
inference(resolve,[$cnf( $equal(xor(t4,or(t3,and(t2,not(t6)))),xor(t2,and(t2,not(t6)))) )],[refute_0_23022,refute_0_23023]) ).
cnf(refute_0_23025,plain,
not(xor(t2,and(t2,not(t6)))) = xor(t4,not(or(t3,and(t2,not(t6))))),
inference(resolve,[$cnf( $equal(not(xor(t4,or(t3,and(t2,not(t6))))),xor(t4,not(or(t3,and(t2,not(t6)))))) )],[refute_0_23020,refute_0_23024]) ).
cnf(refute_0_23026,plain,
xor(t3,xor(t4,or(t6,not(t2)))) = xor(t2,or(t6,not(t2))),
inference(subst,[],[refute_0_2264:[bind(Z,$fot(or(t6,not(t2))))]]) ).
cnf(refute_0_23027,plain,
xor(t4,xor(t3,or(t6,not(t2)))) = xor(t3,xor(t4,or(t6,not(t2)))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(t3)),bind(X_334,$fot(t4)),bind(X_335,$fot(or(t6,not(t2))))]]) ).
cnf(refute_0_23028,plain,
( xor(t3,xor(t4,or(t6,not(t2)))) != xor(t2,or(t6,not(t2)))
| xor(t4,xor(t3,or(t6,not(t2)))) != xor(t3,xor(t4,or(t6,not(t2))))
| xor(t4,xor(t3,or(t6,not(t2)))) = xor(t2,or(t6,not(t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t4,xor(t3,or(t6,not(t2)))))),bind(Y0,$fot(xor(t3,xor(t4,or(t6,not(t2)))))),bind(Z0,$fot(xor(t2,or(t6,not(t2)))))]]) ).
cnf(refute_0_23029,plain,
( xor(t3,xor(t4,or(t6,not(t2)))) != xor(t2,or(t6,not(t2)))
| xor(t4,xor(t3,or(t6,not(t2)))) = xor(t2,or(t6,not(t2))) ),
inference(resolve,[$cnf( $equal(xor(t4,xor(t3,or(t6,not(t2)))),xor(t3,xor(t4,or(t6,not(t2))))) )],[refute_0_23027,refute_0_23028]) ).
cnf(refute_0_23030,plain,
xor(t4,xor(t3,or(t6,not(t2)))) = xor(t2,or(t6,not(t2))),
inference(resolve,[$cnf( $equal(xor(t3,xor(t4,or(t6,not(t2)))),xor(t2,or(t6,not(t2)))) )],[refute_0_23026,refute_0_23029]) ).
cnf(refute_0_23031,plain,
not(xor(X_377,or(t3,and(t2,not(t6))))) = xor(X_377,not(or(t3,and(t2,not(t6))))),
inference(subst,[],[refute_0_1137:[bind(X_333,$fot(X_377)),bind(X_334,$fot(or(t3,and(t2,not(t6)))))]]) ).
cnf(refute_0_23032,plain,
not(or(t3,and(not(t6),t2))) = not(or(t3,and(t2,not(t6)))),
inference(subst,[],[refute_0_5521:[bind(X,$fot(t3)),bind(X_205,$fot(not(t6))),bind(X_206,$fot(t2))]]) ).
cnf(refute_0_23033,plain,
and(not(t3),or(t6,not(t2))) = not(or(t3,and(not(t6),t2))),
inference(subst,[],[refute_0_5529:[bind(X,$fot(t3)),bind(X_33,$fot(t6)),bind(X_34,$fot(t2))]]) ).
cnf(refute_0_23034,plain,
( and(not(t3),or(t6,not(t2))) != not(or(t3,and(not(t6),t2)))
| not(or(t3,and(not(t6),t2))) != not(or(t3,and(t2,not(t6))))
| and(not(t3),or(t6,not(t2))) = not(or(t3,and(t2,not(t6)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t3),or(t6,not(t2))))),bind(Y0,$fot(not(or(t3,and(not(t6),t2))))),bind(Z0,$fot(not(or(t3,and(t2,not(t6))))))]]) ).
cnf(refute_0_23035,plain,
( not(or(t3,and(not(t6),t2))) != not(or(t3,and(t2,not(t6))))
| and(not(t3),or(t6,not(t2))) = not(or(t3,and(t2,not(t6)))) ),
inference(resolve,[$cnf( $equal(and(not(t3),or(t6,not(t2))),not(or(t3,and(not(t6),t2)))) )],[refute_0_23033,refute_0_23034]) ).
cnf(refute_0_23036,plain,
and(not(t3),or(t6,not(t2))) = not(or(t3,and(t2,not(t6)))),
inference(resolve,[$cnf( $equal(not(or(t3,and(not(t6),t2))),not(or(t3,and(t2,not(t6))))) )],[refute_0_23032,refute_0_23035]) ).
cnf(refute_0_23037,plain,
and(not(t3),or(t6,and(t3,t4))) = and(not(t3),or(t6,and(t3,t4))),
introduced(tautology,[refl,[$fot(and(not(t3),or(t6,and(t3,t4))))]]) ).
cnf(refute_0_23038,plain,
( and(not(t3),or(t6,and(t3,t4))) != and(not(t3),or(t6,and(t3,t4)))
| or(t6,and(t3,t4)) != or(t6,not(t2))
| and(not(t3),or(t6,and(t3,t4))) = and(not(t3),or(t6,not(t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t3),or(t6,and(t3,t4))),and(not(t3),or(t6,and(t3,t4)))) ),[1,1],$fot(or(t6,not(t2)))]]) ).
cnf(refute_0_23039,plain,
( or(t6,and(t3,t4)) != or(t6,not(t2))
| and(not(t3),or(t6,and(t3,t4))) = and(not(t3),or(t6,not(t2))) ),
inference(resolve,[$cnf( $equal(and(not(t3),or(t6,and(t3,t4))),and(not(t3),or(t6,and(t3,t4)))) )],[refute_0_23037,refute_0_23038]) ).
cnf(refute_0_23040,plain,
and(not(t3),or(t6,and(t3,t4))) = and(not(t3),or(t6,not(t2))),
inference(resolve,[$cnf( $equal(or(t6,and(t3,t4)),or(t6,not(t2))) )],[refute_0_22923,refute_0_23039]) ).
cnf(refute_0_23041,plain,
( and(not(t3),or(t6,and(t3,t4))) != and(not(t3),or(t6,not(t2)))
| and(not(t3),or(t6,not(t2))) != not(or(t3,and(t2,not(t6))))
| and(not(t3),or(t6,and(t3,t4))) = not(or(t3,and(t2,not(t6)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t3),or(t6,and(t3,t4))))),bind(Y0,$fot(and(not(t3),or(t6,not(t2))))),bind(Z0,$fot(not(or(t3,and(t2,not(t6))))))]]) ).
cnf(refute_0_23042,plain,
( and(not(t3),or(t6,not(t2))) != not(or(t3,and(t2,not(t6))))
| and(not(t3),or(t6,and(t3,t4))) = not(or(t3,and(t2,not(t6)))) ),
inference(resolve,[$cnf( $equal(and(not(t3),or(t6,and(t3,t4))),and(not(t3),or(t6,not(t2)))) )],[refute_0_23040,refute_0_23041]) ).
cnf(refute_0_23043,plain,
and(not(t3),or(t6,and(t3,t4))) = not(or(t3,and(t2,not(t6)))),
inference(resolve,[$cnf( $equal(and(not(t3),or(t6,not(t2))),not(or(t3,and(t2,not(t6))))) )],[refute_0_23036,refute_0_23042]) ).
cnf(refute_0_23044,plain,
( and(not(t3),or(t6,and(t3,t4))) != not(or(t3,and(t2,not(t6))))
| and(not(t3),or(t6,and(t3,t4))) != xor(t3,or(t6,and(t3,t4)))
| not(or(t3,and(t2,not(t6)))) = xor(t3,or(t6,and(t3,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t3),or(t6,and(t3,t4))),xor(t3,or(t6,and(t3,t4)))) ),[0],$fot(not(or(t3,and(t2,not(t6)))))]]) ).
cnf(refute_0_23045,plain,
( and(not(t3),or(t6,and(t3,t4))) != xor(t3,or(t6,and(t3,t4)))
| not(or(t3,and(t2,not(t6)))) = xor(t3,or(t6,and(t3,t4))) ),
inference(resolve,[$cnf( $equal(and(not(t3),or(t6,and(t3,t4))),not(or(t3,and(t2,not(t6))))) )],[refute_0_23043,refute_0_23044]) ).
cnf(refute_0_23046,plain,
( not(or(t3,and(t2,not(t6)))) != xor(t3,or(t6,and(t3,t4)))
| xor(t3,or(t6,and(t3,t4))) != xor(t3,or(t6,not(t2)))
| not(or(t3,and(t2,not(t6)))) = xor(t3,or(t6,not(t2))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(or(t3,and(t2,not(t6)))),xor(t3,or(t6,not(t2)))) ),[0],$fot(xor(t3,or(t6,and(t3,t4))))]]) ).
cnf(refute_0_23047,plain,
( not(or(t3,and(t2,not(t6)))) != xor(t3,or(t6,and(t3,t4)))
| not(or(t3,and(t2,not(t6)))) = xor(t3,or(t6,not(t2))) ),
inference(resolve,[$cnf( $equal(xor(t3,or(t6,and(t3,t4))),xor(t3,or(t6,not(t2)))) )],[refute_0_22940,refute_0_23046]) ).
cnf(refute_0_23048,plain,
( and(not(t3),or(t6,and(t3,t4))) != xor(t3,or(t6,and(t3,t4)))
| not(or(t3,and(t2,not(t6)))) = xor(t3,or(t6,not(t2))) ),
inference(resolve,[$cnf( $equal(not(or(t3,and(t2,not(t6)))),xor(t3,or(t6,and(t3,t4)))) )],[refute_0_23045,refute_0_23047]) ).
cnf(refute_0_23049,plain,
not(or(t3,and(t2,not(t6)))) = xor(t3,or(t6,not(t2))),
inference(resolve,[$cnf( $equal(and(not(t3),or(t6,and(t3,t4))),xor(t3,or(t6,and(t3,t4)))) )],[refute_0_22904,refute_0_23048]) ).
cnf(refute_0_23050,plain,
( not(or(t3,and(t2,not(t6)))) != xor(t3,or(t6,not(t2)))
| not(xor(X_377,or(t3,and(t2,not(t6))))) != xor(X_377,not(or(t3,and(t2,not(t6)))))
| not(xor(X_377,or(t3,and(t2,not(t6))))) = xor(X_377,xor(t3,or(t6,not(t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(X_377,or(t3,and(t2,not(t6))))),xor(X_377,not(or(t3,and(t2,not(t6)))))) ),[1,1],$fot(xor(t3,or(t6,not(t2))))]]) ).
cnf(refute_0_23051,plain,
( not(xor(X_377,or(t3,and(t2,not(t6))))) != xor(X_377,not(or(t3,and(t2,not(t6)))))
| not(xor(X_377,or(t3,and(t2,not(t6))))) = xor(X_377,xor(t3,or(t6,not(t2)))) ),
inference(resolve,[$cnf( $equal(not(or(t3,and(t2,not(t6)))),xor(t3,or(t6,not(t2)))) )],[refute_0_23049,refute_0_23050]) ).
cnf(refute_0_23052,plain,
not(xor(X_377,or(t3,and(t2,not(t6))))) = xor(X_377,xor(t3,or(t6,not(t2)))),
inference(resolve,[$cnf( $equal(not(xor(X_377,or(t3,and(t2,not(t6))))),xor(X_377,not(or(t3,and(t2,not(t6)))))) )],[refute_0_23031,refute_0_23051]) ).
cnf(refute_0_23053,plain,
not(xor(t4,or(t3,and(t2,not(t6))))) = xor(t4,xor(t3,or(t6,not(t2)))),
inference(subst,[],[refute_0_23052:[bind(X_377,$fot(t4))]]) ).
cnf(refute_0_23054,plain,
( not(xor(t4,or(t3,and(t2,not(t6))))) != xor(t4,xor(t3,or(t6,not(t2))))
| xor(t4,xor(t3,or(t6,not(t2)))) != xor(t2,or(t6,not(t2)))
| not(xor(t4,or(t3,and(t2,not(t6))))) = xor(t2,or(t6,not(t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t4,or(t3,and(t2,not(t6))))))),bind(Y0,$fot(xor(t4,xor(t3,or(t6,not(t2)))))),bind(Z0,$fot(xor(t2,or(t6,not(t2)))))]]) ).
cnf(refute_0_23055,plain,
( xor(t4,xor(t3,or(t6,not(t2)))) != xor(t2,or(t6,not(t2)))
| not(xor(t4,or(t3,and(t2,not(t6))))) = xor(t2,or(t6,not(t2))) ),
inference(resolve,[$cnf( $equal(not(xor(t4,or(t3,and(t2,not(t6))))),xor(t4,xor(t3,or(t6,not(t2))))) )],[refute_0_23053,refute_0_23054]) ).
cnf(refute_0_23056,plain,
not(xor(t4,or(t3,and(t2,not(t6))))) = xor(t2,or(t6,not(t2))),
inference(resolve,[$cnf( $equal(xor(t4,xor(t3,or(t6,not(t2)))),xor(t2,or(t6,not(t2)))) )],[refute_0_23030,refute_0_23055]) ).
cnf(refute_0_23057,plain,
xor(t4,not(or(t3,and(t2,not(t6))))) = not(xor(t4,or(t3,and(t2,not(t6))))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t4)),bind(X_334,$fot(or(t3,and(t2,not(t6)))))]]) ).
cnf(refute_0_23058,plain,
( not(xor(t4,or(t3,and(t2,not(t6))))) != xor(t2,or(t6,not(t2)))
| xor(t4,not(or(t3,and(t2,not(t6))))) != not(xor(t4,or(t3,and(t2,not(t6)))))
| xor(t4,not(or(t3,and(t2,not(t6))))) = xor(t2,or(t6,not(t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t4,not(or(t3,and(t2,not(t6))))))),bind(Y0,$fot(not(xor(t4,or(t3,and(t2,not(t6))))))),bind(Z0,$fot(xor(t2,or(t6,not(t2)))))]]) ).
cnf(refute_0_23059,plain,
( not(xor(t4,or(t3,and(t2,not(t6))))) != xor(t2,or(t6,not(t2)))
| xor(t4,not(or(t3,and(t2,not(t6))))) = xor(t2,or(t6,not(t2))) ),
inference(resolve,[$cnf( $equal(xor(t4,not(or(t3,and(t2,not(t6))))),not(xor(t4,or(t3,and(t2,not(t6)))))) )],[refute_0_23057,refute_0_23058]) ).
cnf(refute_0_23060,plain,
xor(t4,not(or(t3,and(t2,not(t6))))) = xor(t2,or(t6,not(t2))),
inference(resolve,[$cnf( $equal(not(xor(t4,or(t3,and(t2,not(t6))))),xor(t2,or(t6,not(t2)))) )],[refute_0_23056,refute_0_23059]) ).
cnf(refute_0_23061,plain,
( not(xor(t2,and(t2,not(t6)))) != xor(t4,not(or(t3,and(t2,not(t6)))))
| xor(t4,not(or(t3,and(t2,not(t6))))) != xor(t2,or(t6,not(t2)))
| not(xor(t2,and(t2,not(t6)))) = xor(t2,or(t6,not(t2))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(t2,and(t2,not(t6)))),xor(t2,or(t6,not(t2)))) ),[0],$fot(xor(t4,not(or(t3,and(t2,not(t6))))))]]) ).
cnf(refute_0_23062,plain,
( not(xor(t2,and(t2,not(t6)))) != xor(t4,not(or(t3,and(t2,not(t6)))))
| not(xor(t2,and(t2,not(t6)))) = xor(t2,or(t6,not(t2))) ),
inference(resolve,[$cnf( $equal(xor(t4,not(or(t3,and(t2,not(t6))))),xor(t2,or(t6,not(t2)))) )],[refute_0_23060,refute_0_23061]) ).
cnf(refute_0_23063,plain,
not(xor(t2,and(t2,not(t6)))) = xor(t2,or(t6,not(t2))),
inference(resolve,[$cnf( $equal(not(xor(t2,and(t2,not(t6)))),xor(t4,not(or(t3,and(t2,not(t6)))))) )],[refute_0_23025,refute_0_23062]) ).
cnf(refute_0_23064,plain,
xor(t2,or(t6,not(t2))) = not(and(t2,t6)),
inference(subst,[],[refute_0_20443:[bind(X_20,$fot(t6)),bind(X_63,$fot(t2))]]) ).
cnf(refute_0_23065,plain,
( not(xor(t2,and(t2,not(t6)))) != xor(t2,or(t6,not(t2)))
| xor(t2,or(t6,not(t2))) != not(and(t2,t6))
| not(xor(t2,and(t2,not(t6)))) = not(and(t2,t6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(t2,and(t2,not(t6)))),not(and(t2,t6))) ),[0],$fot(xor(t2,or(t6,not(t2))))]]) ).
cnf(refute_0_23066,plain,
( not(xor(t2,and(t2,not(t6)))) != xor(t2,or(t6,not(t2)))
| not(xor(t2,and(t2,not(t6)))) = not(and(t2,t6)) ),
inference(resolve,[$cnf( $equal(xor(t2,or(t6,not(t2))),not(and(t2,t6))) )],[refute_0_23064,refute_0_23065]) ).
cnf(refute_0_23067,plain,
not(xor(t2,and(t2,not(t6)))) = not(and(t2,t6)),
inference(resolve,[$cnf( $equal(not(xor(t2,and(t2,not(t6)))),xor(t2,or(t6,not(t2)))) )],[refute_0_23063,refute_0_23066]) ).
cnf(refute_0_23068,plain,
( not(not(xor(t2,and(t2,not(t6))))) != xor(t2,and(t2,not(t6)))
| not(xor(t2,and(t2,not(t6)))) != not(and(t2,t6))
| not(not(and(t2,t6))) = xor(t2,and(t2,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(xor(t2,and(t2,not(t6))))),xor(t2,and(t2,not(t6)))) ),[0,0],$fot(not(and(t2,t6)))]]) ).
cnf(refute_0_23069,plain,
( not(not(xor(t2,and(t2,not(t6))))) != xor(t2,and(t2,not(t6)))
| not(not(and(t2,t6))) = xor(t2,and(t2,not(t6))) ),
inference(resolve,[$cnf( $equal(not(xor(t2,and(t2,not(t6)))),not(and(t2,t6))) )],[refute_0_23067,refute_0_23068]) ).
cnf(refute_0_23070,plain,
not(not(and(t2,t6))) = xor(t2,and(t2,not(t6))),
inference(resolve,[$cnf( $equal(not(not(xor(t2,and(t2,not(t6))))),xor(t2,and(t2,not(t6)))) )],[refute_0_23019,refute_0_23069]) ).
cnf(refute_0_23071,plain,
not(not(and(t2,t6))) = and(t2,t6),
inference(subst,[],[not_involution:[bind(X,$fot(and(t2,t6)))]]) ).
cnf(refute_0_23072,plain,
( not(not(and(t2,t6))) != and(t2,t6)
| not(not(and(t2,t6))) != xor(t2,and(t2,not(t6)))
| and(t2,t6) = xor(t2,and(t2,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(t2,t6))),xor(t2,and(t2,not(t6)))) ),[0],$fot(and(t2,t6))]]) ).
cnf(refute_0_23073,plain,
( not(not(and(t2,t6))) != xor(t2,and(t2,not(t6)))
| and(t2,t6) = xor(t2,and(t2,not(t6))) ),
inference(resolve,[$cnf( $equal(not(not(and(t2,t6))),and(t2,t6)) )],[refute_0_23071,refute_0_23072]) ).
cnf(refute_0_23074,plain,
and(t2,t6) = xor(t2,and(t2,not(t6))),
inference(resolve,[$cnf( $equal(not(not(and(t2,t6))),xor(t2,and(t2,not(t6)))) )],[refute_0_23070,refute_0_23073]) ).
cnf(refute_0_23075,plain,
( and(t2,t6) != xor(t2,and(t2,not(t6)))
| xor(t2,and(t2,not(t6))) = and(t2,t6) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t2,t6))),bind(Y0,$fot(xor(t2,and(t2,not(t6)))))]]) ).
cnf(refute_0_23076,plain,
xor(t2,and(t2,not(t6))) = and(t2,t6),
inference(resolve,[$cnf( $equal(and(t2,t6),xor(t2,and(t2,not(t6)))) )],[refute_0_23074,refute_0_23075]) ).
cnf(refute_0_23077,plain,
( xor(t2,and(t2,not(t6))) != and(t2,t6)
| xor(t2,and(t2,not(t6))) != xor(t4,or(t3,and(t2,not(t6))))
| and(t2,t6) = xor(t4,or(t3,and(t2,not(t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,and(t2,not(t6))),xor(t4,or(t3,and(t2,not(t6))))) ),[0],$fot(and(t2,t6))]]) ).
cnf(refute_0_23078,plain,
( xor(t2,and(t2,not(t6))) != xor(t4,or(t3,and(t2,not(t6))))
| and(t2,t6) = xor(t4,or(t3,and(t2,not(t6)))) ),
inference(resolve,[$cnf( $equal(xor(t2,and(t2,not(t6))),and(t2,t6)) )],[refute_0_23076,refute_0_23077]) ).
cnf(refute_0_23079,plain,
and(t2,t6) = xor(t4,or(t3,and(t2,not(t6)))),
inference(resolve,[$cnf( $equal(xor(t2,and(t2,not(t6))),xor(t4,or(t3,and(t2,not(t6))))) )],[refute_0_23018,refute_0_23078]) ).
cnf(refute_0_23080,plain,
( and(t2,t6) != xor(t4,or(t3,and(t2,not(t6))))
| xor(t4,or(t3,and(t2,not(t6)))) = and(t2,t6) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t2,t6))),bind(Y0,$fot(xor(t4,or(t3,and(t2,not(t6))))))]]) ).
cnf(refute_0_23081,plain,
xor(t4,or(t3,and(t2,not(t6)))) = and(t2,t6),
inference(resolve,[$cnf( $equal(and(t2,t6),xor(t4,or(t3,and(t2,not(t6))))) )],[refute_0_23079,refute_0_23080]) ).
cnf(refute_0_23082,plain,
( xor(t4,or(t3,and(t2,not(t6)))) != and(t2,t6)
| xor(t4,xor(t4,or(t3,and(t2,not(t6))))) != or(t3,and(t2,not(t6)))
| xor(t4,and(t2,t6)) = or(t3,and(t2,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,xor(t4,or(t3,and(t2,not(t6))))),or(t3,and(t2,not(t6)))) ),[0,1],$fot(and(t2,t6))]]) ).
cnf(refute_0_23083,plain,
( xor(t4,xor(t4,or(t3,and(t2,not(t6))))) != or(t3,and(t2,not(t6)))
| xor(t4,and(t2,t6)) = or(t3,and(t2,not(t6))) ),
inference(resolve,[$cnf( $equal(xor(t4,or(t3,and(t2,not(t6)))),and(t2,t6)) )],[refute_0_23081,refute_0_23082]) ).
cnf(refute_0_23084,plain,
xor(t4,and(t2,t6)) = or(t3,and(t2,not(t6))),
inference(resolve,[$cnf( $equal(xor(t4,xor(t4,or(t3,and(t2,not(t6))))),or(t3,and(t2,not(t6)))) )],[refute_0_23008,refute_0_23083]) ).
cnf(refute_0_23085,plain,
( xor(t4,and(t2,t6)) != or(t3,and(t2,not(t6)))
| or(t3,and(t2,not(t6))) = xor(t4,and(t2,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t4,and(t2,t6)))),bind(Y0,$fot(or(t3,and(t2,not(t6)))))]]) ).
cnf(refute_0_23086,plain,
or(t3,and(t2,not(t6))) = xor(t4,and(t2,t6)),
inference(resolve,[$cnf( $equal(xor(t4,and(t2,t6)),or(t3,and(t2,not(t6)))) )],[refute_0_23084,refute_0_23085]) ).
cnf(refute_0_23087,plain,
xor(b,or(t3,and(t2,not(t6)))) = xor(b,or(t3,and(t2,not(t6)))),
introduced(tautology,[refl,[$fot(xor(b,or(t3,and(t2,not(t6)))))]]) ).
cnf(refute_0_23088,plain,
( or(t3,and(t2,not(t6))) != xor(t4,and(t2,t6))
| xor(b,or(t3,and(t2,not(t6)))) != xor(b,or(t3,and(t2,not(t6))))
| xor(b,or(t3,and(t2,not(t6)))) = xor(b,xor(t4,and(t2,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,or(t3,and(t2,not(t6)))),xor(b,or(t3,and(t2,not(t6))))) ),[1,1],$fot(xor(t4,and(t2,t6)))]]) ).
cnf(refute_0_23089,plain,
( or(t3,and(t2,not(t6))) != xor(t4,and(t2,t6))
| xor(b,or(t3,and(t2,not(t6)))) = xor(b,xor(t4,and(t2,t6))) ),
inference(resolve,[$cnf( $equal(xor(b,or(t3,and(t2,not(t6)))),xor(b,or(t3,and(t2,not(t6))))) )],[refute_0_23087,refute_0_23088]) ).
cnf(refute_0_23090,plain,
xor(b,or(t3,and(t2,not(t6)))) = xor(b,xor(t4,and(t2,t6))),
inference(resolve,[$cnf( $equal(or(t3,and(t2,not(t6))),xor(t4,and(t2,t6))) )],[refute_0_23086,refute_0_23089]) ).
cnf(refute_0_23091,plain,
( xor(b,or(t3,and(t2,not(t6)))) != xor(b,xor(t4,and(t2,t6)))
| xor(b,xor(t4,and(t2,t6))) != xor(a,and(t2,t6))
| xor(b,or(t3,and(t2,not(t6)))) = xor(a,and(t2,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(b,or(t3,and(t2,not(t6)))))),bind(Y0,$fot(xor(b,xor(t4,and(t2,t6))))),bind(Z0,$fot(xor(a,and(t2,t6))))]]) ).
cnf(refute_0_23092,plain,
( xor(b,xor(t4,and(t2,t6))) != xor(a,and(t2,t6))
| xor(b,or(t3,and(t2,not(t6)))) = xor(a,and(t2,t6)) ),
inference(resolve,[$cnf( $equal(xor(b,or(t3,and(t2,not(t6)))),xor(b,xor(t4,and(t2,t6)))) )],[refute_0_23090,refute_0_23091]) ).
cnf(refute_0_23093,plain,
xor(b,or(t3,and(t2,not(t6)))) = xor(a,and(t2,t6)),
inference(resolve,[$cnf( $equal(xor(b,xor(t4,and(t2,t6))),xor(a,and(t2,t6))) )],[refute_0_23007,refute_0_23092]) ).
cnf(refute_0_23094,plain,
( xor(b,or(t3,and(t2,not(t6)))) != xor(a,and(t2,t6))
| xor(t1,and(t2,not(t6))) != xor(b,or(t3,and(t2,not(t6))))
| xor(t1,and(t2,not(t6))) = xor(a,and(t2,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,and(t2,not(t6))),xor(b,or(t3,and(t2,not(t6))))) ),[1],$fot(xor(a,and(t2,t6)))]]) ).
cnf(refute_0_23095,plain,
( xor(t1,and(t2,not(t6))) != xor(b,or(t3,and(t2,not(t6))))
| xor(t1,and(t2,not(t6))) = xor(a,and(t2,t6)) ),
inference(resolve,[$cnf( $equal(xor(b,or(t3,and(t2,not(t6)))),xor(a,and(t2,t6))) )],[refute_0_23093,refute_0_23094]) ).
cnf(refute_0_23096,plain,
xor(t1,and(t2,not(t6))) = xor(a,and(t2,t6)),
inference(resolve,[$cnf( $equal(xor(t1,and(t2,not(t6))),xor(b,or(t3,and(t2,not(t6))))) )],[refute_0_22967,refute_0_23095]) ).
cnf(refute_0_23097,plain,
( xor(cin,xor(t1,and(t2,not(t6)))) != xor(carry,xor(t7,and(t2,not(t6))))
| xor(t1,and(t2,not(t6))) != xor(a,and(t2,t6))
| xor(cin,xor(a,and(t2,t6))) = xor(carry,xor(t7,and(t2,not(t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t1,and(t2,not(t6)))),xor(carry,xor(t7,and(t2,not(t6))))) ),[0,1],$fot(xor(a,and(t2,t6)))]]) ).
cnf(refute_0_23098,plain,
( xor(cin,xor(t1,and(t2,not(t6)))) != xor(carry,xor(t7,and(t2,not(t6))))
| xor(cin,xor(a,and(t2,t6))) = xor(carry,xor(t7,and(t2,not(t6)))) ),
inference(resolve,[$cnf( $equal(xor(t1,and(t2,not(t6))),xor(a,and(t2,t6))) )],[refute_0_23096,refute_0_23097]) ).
cnf(refute_0_23099,plain,
xor(cin,xor(a,and(t2,t6))) = xor(carry,xor(t7,and(t2,not(t6)))),
inference(resolve,[$cnf( $equal(xor(cin,xor(t1,and(t2,not(t6)))),xor(carry,xor(t7,and(t2,not(t6))))) )],[refute_0_22840,refute_0_23098]) ).
cnf(refute_0_23100,plain,
xor(cin,xor(a,and(t2,t6))) = xor(a,xor(cin,and(t2,t6))),
inference(subst,[],[refute_0_14837:[bind(Z,$fot(and(t2,t6))),bind(X_357,$fot(cin))]]) ).
cnf(refute_0_23101,plain,
( xor(cin,xor(a,and(t2,t6))) != xor(a,xor(cin,and(t2,t6)))
| xor(cin,xor(a,and(t2,t6))) != xor(carry,xor(t7,and(t2,not(t6))))
| xor(a,xor(cin,and(t2,t6))) = xor(carry,xor(t7,and(t2,not(t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(a,and(t2,t6))),xor(carry,xor(t7,and(t2,not(t6))))) ),[0],$fot(xor(a,xor(cin,and(t2,t6))))]]) ).
cnf(refute_0_23102,plain,
( xor(cin,xor(a,and(t2,t6))) != xor(carry,xor(t7,and(t2,not(t6))))
| xor(a,xor(cin,and(t2,t6))) = xor(carry,xor(t7,and(t2,not(t6)))) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(a,and(t2,t6))),xor(a,xor(cin,and(t2,t6)))) )],[refute_0_23100,refute_0_23101]) ).
cnf(refute_0_23103,plain,
xor(a,xor(cin,and(t2,t6))) = xor(carry,xor(t7,and(t2,not(t6)))),
inference(resolve,[$cnf( $equal(xor(cin,xor(a,and(t2,t6))),xor(carry,xor(t7,and(t2,not(t6))))) )],[refute_0_23099,refute_0_23102]) ).
cnf(refute_0_23104,plain,
( xor(a,xor(cin,and(t2,t6))) != xor(carry,xor(t7,and(t2,not(t6))))
| xor(carry,xor(t7,and(t2,not(t6)))) = xor(a,xor(cin,and(t2,t6))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(a,xor(cin,and(t2,t6))))),bind(Y0,$fot(xor(carry,xor(t7,and(t2,not(t6))))))]]) ).
cnf(refute_0_23105,plain,
xor(carry,xor(t7,and(t2,not(t6)))) = xor(a,xor(cin,and(t2,t6))),
inference(resolve,[$cnf( $equal(xor(a,xor(cin,and(t2,t6))),xor(carry,xor(t7,and(t2,not(t6))))) )],[refute_0_23103,refute_0_23104]) ).
cnf(refute_0_23106,plain,
( xor(carry,xor(carry,xor(t7,and(t2,not(t6))))) != xor(t7,and(t2,not(t6)))
| xor(carry,xor(t7,and(t2,not(t6)))) != xor(a,xor(cin,and(t2,t6)))
| xor(carry,xor(a,xor(cin,and(t2,t6)))) = xor(t7,and(t2,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(carry,xor(t7,and(t2,not(t6))))),xor(t7,and(t2,not(t6)))) ),[0,1],$fot(xor(a,xor(cin,and(t2,t6))))]]) ).
cnf(refute_0_23107,plain,
( xor(carry,xor(carry,xor(t7,and(t2,not(t6))))) != xor(t7,and(t2,not(t6)))
| xor(carry,xor(a,xor(cin,and(t2,t6)))) = xor(t7,and(t2,not(t6))) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(t7,and(t2,not(t6)))),xor(a,xor(cin,and(t2,t6)))) )],[refute_0_23105,refute_0_23106]) ).
cnf(refute_0_23108,plain,
xor(carry,xor(a,xor(cin,and(t2,t6)))) = xor(t7,and(t2,not(t6))),
inference(resolve,[$cnf( $equal(xor(carry,xor(carry,xor(t7,and(t2,not(t6))))),xor(t7,and(t2,not(t6)))) )],[refute_0_22839,refute_0_23107]) ).
cnf(refute_0_23109,plain,
xor(a,xor(xor(carry,cin),Z)) = xor(xor(a,xor(carry,cin)),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(a)),bind(Y,$fot(xor(carry,cin)))]]) ).
cnf(refute_0_23110,plain,
xor(a,xor(t1,t7)) = xor(t2,t7),
inference(subst,[],[refute_0_370:[bind(X_335,$fot(t7))]]) ).
cnf(refute_0_23111,plain,
xor(t1,xor(cin,t5)) = xor(carry,cin),
inference(subst,[],[refute_0_15546:[bind(X_337,$fot(cin))]]) ).
cnf(refute_0_23112,plain,
( xor(cin,t5) != t7
| xor(t1,xor(cin,t5)) != xor(carry,cin)
| xor(t1,t7) = xor(carry,cin) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,xor(cin,t5)),xor(carry,cin)) ),[0,1],$fot(t7)]]) ).
cnf(refute_0_23113,plain,
( xor(t1,xor(cin,t5)) != xor(carry,cin)
| xor(t1,t7) = xor(carry,cin) ),
inference(resolve,[$cnf( $equal(xor(cin,t5),t7) )],[refute_0_2483,refute_0_23112]) ).
cnf(refute_0_23114,plain,
xor(t1,t7) = xor(carry,cin),
inference(resolve,[$cnf( $equal(xor(t1,xor(cin,t5)),xor(carry,cin)) )],[refute_0_23111,refute_0_23113]) ).
cnf(refute_0_23115,plain,
( xor(a,xor(t1,t7)) != xor(t2,t7)
| xor(t1,t7) != xor(carry,cin)
| xor(a,xor(carry,cin)) = xor(t2,t7) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t1,t7)),xor(t2,t7)) ),[0,1],$fot(xor(carry,cin))]]) ).
cnf(refute_0_23116,plain,
( xor(a,xor(t1,t7)) != xor(t2,t7)
| xor(a,xor(carry,cin)) = xor(t2,t7) ),
inference(resolve,[$cnf( $equal(xor(t1,t7),xor(carry,cin)) )],[refute_0_23114,refute_0_23115]) ).
cnf(refute_0_23117,plain,
xor(a,xor(carry,cin)) = xor(t2,t7),
inference(resolve,[$cnf( $equal(xor(a,xor(t1,t7)),xor(t2,t7)) )],[refute_0_23110,refute_0_23116]) ).
cnf(refute_0_23118,plain,
( xor(a,xor(carry,cin)) != xor(t2,t7)
| xor(a,xor(xor(carry,cin),Z)) != xor(xor(a,xor(carry,cin)),Z)
| xor(a,xor(xor(carry,cin),Z)) = xor(xor(t2,t7),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(xor(carry,cin),Z)),xor(xor(a,xor(carry,cin)),Z)) ),[1,0],$fot(xor(t2,t7))]]) ).
cnf(refute_0_23119,plain,
( xor(a,xor(xor(carry,cin),Z)) != xor(xor(a,xor(carry,cin)),Z)
| xor(a,xor(xor(carry,cin),Z)) = xor(xor(t2,t7),Z) ),
inference(resolve,[$cnf( $equal(xor(a,xor(carry,cin)),xor(t2,t7)) )],[refute_0_23117,refute_0_23118]) ).
cnf(refute_0_23120,plain,
xor(a,xor(xor(carry,cin),Z)) = xor(xor(t2,t7),Z),
inference(resolve,[$cnf( $equal(xor(a,xor(xor(carry,cin),Z)),xor(xor(a,xor(carry,cin)),Z)) )],[refute_0_23109,refute_0_23119]) ).
cnf(refute_0_23121,plain,
xor(xor(carry,cin),Z) = xor(carry,xor(cin,Z)),
inference(subst,[],[refute_0_526:[bind(X,$fot(carry)),bind(Y,$fot(cin))]]) ).
cnf(refute_0_23122,plain,
xor(a,xor(xor(carry,cin),Z)) = xor(a,xor(xor(carry,cin),Z)),
introduced(tautology,[refl,[$fot(xor(a,xor(xor(carry,cin),Z)))]]) ).
cnf(refute_0_23123,plain,
( xor(a,xor(xor(carry,cin),Z)) != xor(a,xor(xor(carry,cin),Z))
| xor(xor(carry,cin),Z) != xor(carry,xor(cin,Z))
| xor(a,xor(xor(carry,cin),Z)) = xor(a,xor(carry,xor(cin,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(xor(carry,cin),Z)),xor(a,xor(xor(carry,cin),Z))) ),[1,1],$fot(xor(carry,xor(cin,Z)))]]) ).
cnf(refute_0_23124,plain,
( xor(xor(carry,cin),Z) != xor(carry,xor(cin,Z))
| xor(a,xor(xor(carry,cin),Z)) = xor(a,xor(carry,xor(cin,Z))) ),
inference(resolve,[$cnf( $equal(xor(a,xor(xor(carry,cin),Z)),xor(a,xor(xor(carry,cin),Z))) )],[refute_0_23122,refute_0_23123]) ).
cnf(refute_0_23125,plain,
xor(a,xor(xor(carry,cin),Z)) = xor(a,xor(carry,xor(cin,Z))),
inference(resolve,[$cnf( $equal(xor(xor(carry,cin),Z),xor(carry,xor(cin,Z))) )],[refute_0_23121,refute_0_23124]) ).
cnf(refute_0_23126,plain,
( xor(a,xor(xor(carry,cin),Z)) != xor(a,xor(carry,xor(cin,Z)))
| xor(a,xor(xor(carry,cin),Z)) != xor(xor(t2,t7),Z)
| xor(a,xor(carry,xor(cin,Z))) = xor(xor(t2,t7),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(xor(carry,cin),Z)),xor(xor(t2,t7),Z)) ),[0],$fot(xor(a,xor(carry,xor(cin,Z))))]]) ).
cnf(refute_0_23127,plain,
( xor(a,xor(xor(carry,cin),Z)) != xor(xor(t2,t7),Z)
| xor(a,xor(carry,xor(cin,Z))) = xor(xor(t2,t7),Z) ),
inference(resolve,[$cnf( $equal(xor(a,xor(xor(carry,cin),Z)),xor(a,xor(carry,xor(cin,Z)))) )],[refute_0_23125,refute_0_23126]) ).
cnf(refute_0_23128,plain,
xor(xor(t2,t7),Z) = xor(t2,xor(t7,Z)),
inference(subst,[],[refute_0_526:[bind(X,$fot(t2)),bind(Y,$fot(t7))]]) ).
cnf(refute_0_23129,plain,
( xor(a,xor(carry,xor(cin,Z))) != xor(xor(t2,t7),Z)
| xor(xor(t2,t7),Z) != xor(t2,xor(t7,Z))
| xor(a,xor(carry,xor(cin,Z))) = xor(t2,xor(t7,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(a,xor(carry,xor(cin,Z))),xor(t2,xor(t7,Z))) ),[0],$fot(xor(xor(t2,t7),Z))]]) ).
cnf(refute_0_23130,plain,
( xor(a,xor(carry,xor(cin,Z))) != xor(xor(t2,t7),Z)
| xor(a,xor(carry,xor(cin,Z))) = xor(t2,xor(t7,Z)) ),
inference(resolve,[$cnf( $equal(xor(xor(t2,t7),Z),xor(t2,xor(t7,Z))) )],[refute_0_23128,refute_0_23129]) ).
cnf(refute_0_23131,plain,
( xor(a,xor(xor(carry,cin),Z)) != xor(xor(t2,t7),Z)
| xor(a,xor(carry,xor(cin,Z))) = xor(t2,xor(t7,Z)) ),
inference(resolve,[$cnf( $equal(xor(a,xor(carry,xor(cin,Z))),xor(xor(t2,t7),Z)) )],[refute_0_23127,refute_0_23130]) ).
cnf(refute_0_23132,plain,
xor(a,xor(carry,xor(cin,Z))) = xor(t2,xor(t7,Z)),
inference(resolve,[$cnf( $equal(xor(a,xor(xor(carry,cin),Z)),xor(xor(t2,t7),Z)) )],[refute_0_23120,refute_0_23131]) ).
cnf(refute_0_23133,plain,
xor(a,xor(carry,xor(cin,and(t2,t6)))) = xor(t2,xor(t7,and(t2,t6))),
inference(subst,[],[refute_0_23132:[bind(Z,$fot(and(t2,t6)))]]) ).
cnf(refute_0_23134,plain,
xor(carry,xor(a,xor(cin,and(t2,t6)))) = xor(a,xor(carry,xor(cin,and(t2,t6)))),
inference(subst,[],[refute_0_14837:[bind(Z,$fot(xor(cin,and(t2,t6)))),bind(X_357,$fot(carry))]]) ).
cnf(refute_0_23135,plain,
( xor(a,xor(carry,xor(cin,and(t2,t6)))) != xor(t2,xor(t7,and(t2,t6)))
| xor(carry,xor(a,xor(cin,and(t2,t6)))) != xor(a,xor(carry,xor(cin,and(t2,t6))))
| xor(carry,xor(a,xor(cin,and(t2,t6)))) = xor(t2,xor(t7,and(t2,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(carry,xor(a,xor(cin,and(t2,t6)))))),bind(Y0,$fot(xor(a,xor(carry,xor(cin,and(t2,t6)))))),bind(Z0,$fot(xor(t2,xor(t7,and(t2,t6)))))]]) ).
cnf(refute_0_23136,plain,
( xor(a,xor(carry,xor(cin,and(t2,t6)))) != xor(t2,xor(t7,and(t2,t6)))
| xor(carry,xor(a,xor(cin,and(t2,t6)))) = xor(t2,xor(t7,and(t2,t6))) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(a,xor(cin,and(t2,t6)))),xor(a,xor(carry,xor(cin,and(t2,t6))))) )],[refute_0_23134,refute_0_23135]) ).
cnf(refute_0_23137,plain,
xor(carry,xor(a,xor(cin,and(t2,t6)))) = xor(t2,xor(t7,and(t2,t6))),
inference(resolve,[$cnf( $equal(xor(a,xor(carry,xor(cin,and(t2,t6)))),xor(t2,xor(t7,and(t2,t6)))) )],[refute_0_23133,refute_0_23136]) ).
cnf(refute_0_23138,plain,
( xor(carry,xor(a,xor(cin,and(t2,t6)))) != xor(t2,xor(t7,and(t2,t6)))
| xor(carry,xor(a,xor(cin,and(t2,t6)))) != xor(t7,and(t2,not(t6)))
| xor(t2,xor(t7,and(t2,t6))) = xor(t7,and(t2,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(a,xor(cin,and(t2,t6)))),xor(t7,and(t2,not(t6)))) ),[0],$fot(xor(t2,xor(t7,and(t2,t6))))]]) ).
cnf(refute_0_23139,plain,
( xor(carry,xor(a,xor(cin,and(t2,t6)))) != xor(t7,and(t2,not(t6)))
| xor(t2,xor(t7,and(t2,t6))) = xor(t7,and(t2,not(t6))) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(a,xor(cin,and(t2,t6)))),xor(t2,xor(t7,and(t2,t6)))) )],[refute_0_23137,refute_0_23138]) ).
cnf(refute_0_23140,plain,
xor(t2,xor(t7,and(t2,t6))) = xor(t7,and(t2,not(t6))),
inference(resolve,[$cnf( $equal(xor(carry,xor(a,xor(cin,and(t2,t6)))),xor(t7,and(t2,not(t6)))) )],[refute_0_23108,refute_0_23139]) ).
cnf(refute_0_23141,plain,
not(xor(t7,or(a,t6))) = not(xor(t7,or(a,t6))),
introduced(tautology,[refl,[$fot(not(xor(t7,or(a,t6))))]]) ).
cnf(refute_0_23142,plain,
( not(xor(t7,or(a,t6))) != not(xor(t7,or(a,t6)))
| xor(t7,or(a,t6)) != and(sum,or(b,t6))
| not(xor(t7,or(a,t6))) = not(and(sum,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t7,or(a,t6))),not(xor(t7,or(a,t6)))) ),[1,0],$fot(and(sum,or(b,t6)))]]) ).
cnf(refute_0_23143,plain,
( xor(t7,or(a,t6)) != and(sum,or(b,t6))
| not(xor(t7,or(a,t6))) = not(and(sum,or(b,t6))) ),
inference(resolve,[$cnf( $equal(not(xor(t7,or(a,t6))),not(xor(t7,or(a,t6)))) )],[refute_0_23141,refute_0_23142]) ).
cnf(refute_0_23144,plain,
not(xor(t7,or(a,t6))) = not(and(sum,or(b,t6))),
inference(resolve,[$cnf( $equal(xor(t7,or(a,t6)),and(sum,or(b,t6))) )],[refute_0_22830,refute_0_23143]) ).
cnf(refute_0_23145,plain,
xor(t7,not(or(a,t6))) = not(xor(t7,or(a,t6))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t7)),bind(X_334,$fot(or(a,t6)))]]) ).
cnf(refute_0_23146,plain,
( not(xor(t7,or(a,t6))) != not(and(sum,or(b,t6)))
| xor(t7,not(or(a,t6))) != not(xor(t7,or(a,t6)))
| xor(t7,not(or(a,t6))) = not(and(sum,or(b,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t7,not(or(a,t6))))),bind(Y0,$fot(not(xor(t7,or(a,t6))))),bind(Z0,$fot(not(and(sum,or(b,t6)))))]]) ).
cnf(refute_0_23147,plain,
( not(xor(t7,or(a,t6))) != not(and(sum,or(b,t6)))
| xor(t7,not(or(a,t6))) = not(and(sum,or(b,t6))) ),
inference(resolve,[$cnf( $equal(xor(t7,not(or(a,t6))),not(xor(t7,or(a,t6)))) )],[refute_0_23145,refute_0_23146]) ).
cnf(refute_0_23148,plain,
xor(t7,not(or(a,t6))) = not(and(sum,or(b,t6))),
inference(resolve,[$cnf( $equal(not(xor(t7,or(a,t6))),not(and(sum,or(b,t6)))) )],[refute_0_23144,refute_0_23147]) ).
cnf(refute_0_23149,plain,
and(not(t6),xor(cin,or(b,t6))) = and(t4,and(t5,xor(cin,or(b,t6)))),
inference(subst,[],[refute_0_667:[bind(X_222,$fot(xor(cin,or(b,t6))))]]) ).
cnf(refute_0_23150,plain,
and(not(cin),or(carry,t2)) = and(t5,and(not(cin),or(carry,t2))),
inference(subst,[],[refute_0_4402:[bind(X_222,$fot(or(carry,t2)))]]) ).
cnf(refute_0_23151,plain,
or(and(cin,not(or(t6,X_129))),and(not(cin),or(t6,X_129))) = xor(cin,or(t6,X_129)),
inference(subst,[],[refute_0_9:[bind(X,$fot(cin)),bind(Y,$fot(or(t6,X_129)))]]) ).
cnf(refute_0_23152,plain,
and(cin,and(not(t6),not(Y))) = ll0,
inference(subst,[],[refute_0_12907:[bind(X_56,$fot(not(Y)))]]) ).
cnf(refute_0_23153,plain,
not(or(t6,Y)) = and(not(t6),not(Y)),
inference(subst,[],[or_demorgan:[bind(X,$fot(t6))]]) ).
cnf(refute_0_23154,plain,
( not(or(t6,Y)) != and(not(t6),not(Y))
| and(not(t6),not(Y)) = not(or(t6,Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(t6,Y)))),bind(Y0,$fot(and(not(t6),not(Y))))]]) ).
cnf(refute_0_23155,plain,
and(not(t6),not(Y)) = not(or(t6,Y)),
inference(resolve,[$cnf( $equal(not(or(t6,Y)),and(not(t6),not(Y))) )],[refute_0_23153,refute_0_23154]) ).
cnf(refute_0_23156,plain,
( and(cin,and(not(t6),not(Y))) != ll0
| and(not(t6),not(Y)) != not(or(t6,Y))
| and(cin,not(or(t6,Y))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,and(not(t6),not(Y))),ll0) ),[0,1],$fot(not(or(t6,Y)))]]) ).
cnf(refute_0_23157,plain,
( and(cin,and(not(t6),not(Y))) != ll0
| and(cin,not(or(t6,Y))) = ll0 ),
inference(resolve,[$cnf( $equal(and(not(t6),not(Y)),not(or(t6,Y))) )],[refute_0_23155,refute_0_23156]) ).
cnf(refute_0_23158,plain,
and(cin,not(or(t6,Y))) = ll0,
inference(resolve,[$cnf( $equal(and(cin,and(not(t6),not(Y))),ll0) )],[refute_0_23152,refute_0_23157]) ).
cnf(refute_0_23159,plain,
and(cin,not(or(t6,X_129))) = ll0,
inference(subst,[],[refute_0_23158:[bind(Y,$fot(X_129))]]) ).
cnf(refute_0_23160,plain,
( and(cin,not(or(t6,X_129))) != ll0
| or(and(cin,not(or(t6,X_129))),and(not(cin),or(t6,X_129))) != xor(cin,or(t6,X_129))
| or(ll0,and(not(cin),or(t6,X_129))) = xor(cin,or(t6,X_129)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(cin,not(or(t6,X_129))),and(not(cin),or(t6,X_129))),xor(cin,or(t6,X_129))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_23161,plain,
( or(and(cin,not(or(t6,X_129))),and(not(cin),or(t6,X_129))) != xor(cin,or(t6,X_129))
| or(ll0,and(not(cin),or(t6,X_129))) = xor(cin,or(t6,X_129)) ),
inference(resolve,[$cnf( $equal(and(cin,not(or(t6,X_129))),ll0) )],[refute_0_23159,refute_0_23160]) ).
cnf(refute_0_23162,plain,
or(ll0,and(not(cin),or(t6,X_129))) = xor(cin,or(t6,X_129)),
inference(resolve,[$cnf( $equal(or(and(cin,not(or(t6,X_129))),and(not(cin),or(t6,X_129))),xor(cin,or(t6,X_129))) )],[refute_0_23151,refute_0_23161]) ).
cnf(refute_0_23163,plain,
or(ll0,and(not(cin),or(t6,X_129))) = and(not(cin),or(t6,X_129)),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(cin),or(t6,X_129))))]]) ).
cnf(refute_0_23164,plain,
( or(ll0,and(not(cin),or(t6,X_129))) != and(not(cin),or(t6,X_129))
| or(ll0,and(not(cin),or(t6,X_129))) != xor(cin,or(t6,X_129))
| and(not(cin),or(t6,X_129)) = xor(cin,or(t6,X_129)) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(cin),or(t6,X_129))),xor(cin,or(t6,X_129))) ),[0],$fot(and(not(cin),or(t6,X_129)))]]) ).
cnf(refute_0_23165,plain,
( or(ll0,and(not(cin),or(t6,X_129))) != xor(cin,or(t6,X_129))
| and(not(cin),or(t6,X_129)) = xor(cin,or(t6,X_129)) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(cin),or(t6,X_129))),and(not(cin),or(t6,X_129))) )],[refute_0_23163,refute_0_23164]) ).
cnf(refute_0_23166,plain,
and(not(cin),or(t6,X_129)) = xor(cin,or(t6,X_129)),
inference(resolve,[$cnf( $equal(or(ll0,and(not(cin),or(t6,X_129))),xor(cin,or(t6,X_129))) )],[refute_0_23162,refute_0_23165]) ).
cnf(refute_0_23167,plain,
and(not(cin),or(t6,not(xor(t5,or(carry,t2))))) = xor(cin,or(t6,not(xor(t5,or(carry,t2))))),
inference(subst,[],[refute_0_23166:[bind(X_129,$fot(not(xor(t5,or(carry,t2)))))]]) ).
cnf(refute_0_23168,plain,
or(t6,not(Y)) = or(t6,or(not(t5),not(Y))),
inference(subst,[],[refute_0_21392:[bind(X_39,$fot(not(Y)))]]) ).
cnf(refute_0_23169,plain,
( or(not(t5),not(Y)) != not(and(t5,Y))
| or(t6,not(Y)) != or(t6,or(not(t5),not(Y)))
| or(t6,not(Y)) = or(t6,not(and(t5,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,not(Y)),or(t6,or(not(t5),not(Y)))) ),[1,1],$fot(not(and(t5,Y)))]]) ).
cnf(refute_0_23170,plain,
( or(t6,not(Y)) != or(t6,or(not(t5),not(Y)))
| or(t6,not(Y)) = or(t6,not(and(t5,Y))) ),
inference(resolve,[$cnf( $equal(or(not(t5),not(Y)),not(and(t5,Y))) )],[refute_0_11284,refute_0_23169]) ).
cnf(refute_0_23171,plain,
or(t6,not(Y)) = or(t6,not(and(t5,Y))),
inference(resolve,[$cnf( $equal(or(t6,not(Y)),or(t6,or(not(t5),not(Y)))) )],[refute_0_23168,refute_0_23170]) ).
cnf(refute_0_23172,plain,
or(t6,not(xor(t5,or(carry,t2)))) = or(t6,not(and(t5,xor(t5,or(carry,t2))))),
inference(subst,[],[refute_0_23171:[bind(Y,$fot(xor(t5,or(carry,t2))))]]) ).
cnf(refute_0_23173,plain,
( not(or(carry,t2)) != and(t5,xor(t5,or(carry,t2)))
| and(t5,xor(t5,or(carry,t2))) = not(or(carry,t2)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(carry,t2)))),bind(Y0,$fot(and(t5,xor(t5,or(carry,t2)))))]]) ).
cnf(refute_0_23174,plain,
and(t5,xor(t5,or(carry,t2))) = not(or(carry,t2)),
inference(resolve,[$cnf( $equal(not(or(carry,t2)),and(t5,xor(t5,or(carry,t2)))) )],[refute_0_22285,refute_0_23173]) ).
cnf(refute_0_23175,plain,
( and(t5,xor(t5,or(carry,t2))) != not(or(carry,t2))
| or(t6,not(xor(t5,or(carry,t2)))) != or(t6,not(and(t5,xor(t5,or(carry,t2)))))
| or(t6,not(xor(t5,or(carry,t2)))) = or(t6,not(not(or(carry,t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,not(xor(t5,or(carry,t2)))),or(t6,not(and(t5,xor(t5,or(carry,t2)))))) ),[1,1,0],$fot(not(or(carry,t2)))]]) ).
cnf(refute_0_23176,plain,
( or(t6,not(xor(t5,or(carry,t2)))) != or(t6,not(and(t5,xor(t5,or(carry,t2)))))
| or(t6,not(xor(t5,or(carry,t2)))) = or(t6,not(not(or(carry,t2)))) ),
inference(resolve,[$cnf( $equal(and(t5,xor(t5,or(carry,t2))),not(or(carry,t2))) )],[refute_0_23174,refute_0_23175]) ).
cnf(refute_0_23177,plain,
or(t6,not(xor(t5,or(carry,t2)))) = or(t6,not(not(or(carry,t2)))),
inference(resolve,[$cnf( $equal(or(t6,not(xor(t5,or(carry,t2)))),or(t6,not(and(t5,xor(t5,or(carry,t2)))))) )],[refute_0_23172,refute_0_23176]) ).
cnf(refute_0_23178,plain,
or(carry,or(carry,t2)) = or(carry,t2),
inference(subst,[],[refute_0_9830:[bind(X_38,$fot(carry)),bind(X_39,$fot(t2))]]) ).
cnf(refute_0_23179,plain,
or(carry,or(t2,t6)) = or(carry,or(t2,t6)),
introduced(tautology,[refl,[$fot(or(carry,or(t2,t6)))]]) ).
cnf(refute_0_23180,plain,
( or(carry,or(t2,t6)) != or(carry,or(t2,t6))
| or(t2,t6) != or(carry,t2)
| or(carry,or(t2,t6)) = or(carry,or(carry,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,or(t2,t6)),or(carry,or(t2,t6))) ),[1,1],$fot(or(carry,t2))]]) ).
cnf(refute_0_23181,plain,
( or(t2,t6) != or(carry,t2)
| or(carry,or(t2,t6)) = or(carry,or(carry,t2)) ),
inference(resolve,[$cnf( $equal(or(carry,or(t2,t6)),or(carry,or(t2,t6))) )],[refute_0_23179,refute_0_23180]) ).
cnf(refute_0_23182,plain,
or(carry,or(t2,t6)) = or(carry,or(carry,t2)),
inference(resolve,[$cnf( $equal(or(t2,t6),or(carry,t2)) )],[refute_0_19466,refute_0_23181]) ).
cnf(refute_0_23183,plain,
( or(carry,or(carry,t2)) != or(carry,t2)
| or(carry,or(t2,t6)) != or(carry,or(carry,t2))
| or(carry,or(t2,t6)) = or(carry,t2) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(carry,or(t2,t6)))),bind(Y0,$fot(or(carry,or(carry,t2)))),bind(Z0,$fot(or(carry,t2)))]]) ).
cnf(refute_0_23184,plain,
( or(carry,or(carry,t2)) != or(carry,t2)
| or(carry,or(t2,t6)) = or(carry,t2) ),
inference(resolve,[$cnf( $equal(or(carry,or(t2,t6)),or(carry,or(carry,t2))) )],[refute_0_23182,refute_0_23183]) ).
cnf(refute_0_23185,plain,
or(carry,or(t2,t6)) = or(carry,t2),
inference(resolve,[$cnf( $equal(or(carry,or(carry,t2)),or(carry,t2)) )],[refute_0_23178,refute_0_23184]) ).
cnf(refute_0_23186,plain,
or(or(carry,or(cin,t2)),Z) = or(carry,or(or(cin,t2),Z)),
inference(subst,[],[or_associative:[bind(X,$fot(carry)),bind(Y,$fot(or(cin,t2)))]]) ).
cnf(refute_0_23187,plain,
( or(carry,or(cin,t2)) != or(cin,t2)
| or(or(carry,or(cin,t2)),Z) != or(carry,or(or(cin,t2),Z))
| or(or(cin,t2),Z) = or(carry,or(or(cin,t2),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(carry,or(cin,t2)),Z),or(carry,or(or(cin,t2),Z))) ),[0,0],$fot(or(cin,t2))]]) ).
cnf(refute_0_23188,plain,
( or(or(carry,or(cin,t2)),Z) != or(carry,or(or(cin,t2),Z))
| or(or(cin,t2),Z) = or(carry,or(or(cin,t2),Z)) ),
inference(resolve,[$cnf( $equal(or(carry,or(cin,t2)),or(cin,t2)) )],[refute_0_21205,refute_0_23187]) ).
cnf(refute_0_23189,plain,
or(or(cin,t2),Z) = or(carry,or(or(cin,t2),Z)),
inference(resolve,[$cnf( $equal(or(or(carry,or(cin,t2)),Z),or(carry,or(or(cin,t2),Z))) )],[refute_0_23186,refute_0_23188]) ).
cnf(refute_0_23190,plain,
or(or(cin,t2),Z) = or(cin,or(t2,Z)),
inference(subst,[],[or_associative:[bind(X,$fot(cin)),bind(Y,$fot(t2))]]) ).
cnf(refute_0_23191,plain,
( or(or(cin,t2),Z) != or(carry,or(or(cin,t2),Z))
| or(or(cin,t2),Z) != or(cin,or(t2,Z))
| or(cin,or(t2,Z)) = or(carry,or(or(cin,t2),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(cin,t2),Z),or(carry,or(or(cin,t2),Z))) ),[0],$fot(or(cin,or(t2,Z)))]]) ).
cnf(refute_0_23192,plain,
( or(or(cin,t2),Z) != or(carry,or(or(cin,t2),Z))
| or(cin,or(t2,Z)) = or(carry,or(or(cin,t2),Z)) ),
inference(resolve,[$cnf( $equal(or(or(cin,t2),Z),or(cin,or(t2,Z))) )],[refute_0_23190,refute_0_23191]) ).
cnf(refute_0_23193,plain,
or(or(X,carry),or(cin,t2)) = or(X,or(carry,or(cin,t2))),
inference(subst,[],[or_associative:[bind(Y,$fot(carry)),bind(Z,$fot(or(cin,t2)))]]) ).
cnf(refute_0_23194,plain,
( or(carry,or(cin,t2)) != or(cin,t2)
| or(or(X,carry),or(cin,t2)) != or(X,or(carry,or(cin,t2)))
| or(or(X,carry),or(cin,t2)) = or(X,or(cin,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(X,carry),or(cin,t2)),or(X,or(carry,or(cin,t2)))) ),[1,1],$fot(or(cin,t2))]]) ).
cnf(refute_0_23195,plain,
( or(or(X,carry),or(cin,t2)) != or(X,or(carry,or(cin,t2)))
| or(or(X,carry),or(cin,t2)) = or(X,or(cin,t2)) ),
inference(resolve,[$cnf( $equal(or(carry,or(cin,t2)),or(cin,t2)) )],[refute_0_21205,refute_0_23194]) ).
cnf(refute_0_23196,plain,
or(or(X,carry),or(cin,t2)) = or(X,or(cin,t2)),
inference(resolve,[$cnf( $equal(or(or(X,carry),or(cin,t2)),or(X,or(carry,or(cin,t2)))) )],[refute_0_23193,refute_0_23195]) ).
cnf(refute_0_23197,plain,
or(cin,or(carry,or(t2,X))) = or(carry,or(cin,or(t2,X))),
inference(subst,[],[refute_0_267:[bind(X_37,$fot(cin)),bind(X_38,$fot(carry)),bind(X_39,$fot(or(t2,X)))]]) ).
cnf(refute_0_23198,plain,
or(t2,or(X,carry)) = or(carry,or(t2,X)),
inference(subst,[],[refute_0_3769:[bind(X,$fot(carry)),bind(X_37,$fot(t2)),bind(X_38,$fot(X))]]) ).
cnf(refute_0_23199,plain,
or(cin,or(t2,or(X,carry))) = or(cin,or(t2,or(X,carry))),
introduced(tautology,[refl,[$fot(or(cin,or(t2,or(X,carry))))]]) ).
cnf(refute_0_23200,plain,
( or(cin,or(t2,or(X,carry))) != or(cin,or(t2,or(X,carry)))
| or(t2,or(X,carry)) != or(carry,or(t2,X))
| or(cin,or(t2,or(X,carry))) = or(cin,or(carry,or(t2,X))) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,or(t2,or(X,carry))),or(cin,or(t2,or(X,carry)))) ),[1,1],$fot(or(carry,or(t2,X)))]]) ).
cnf(refute_0_23201,plain,
( or(t2,or(X,carry)) != or(carry,or(t2,X))
| or(cin,or(t2,or(X,carry))) = or(cin,or(carry,or(t2,X))) ),
inference(resolve,[$cnf( $equal(or(cin,or(t2,or(X,carry))),or(cin,or(t2,or(X,carry)))) )],[refute_0_23199,refute_0_23200]) ).
cnf(refute_0_23202,plain,
or(cin,or(t2,or(X,carry))) = or(cin,or(carry,or(t2,X))),
inference(resolve,[$cnf( $equal(or(t2,or(X,carry)),or(carry,or(t2,X))) )],[refute_0_23198,refute_0_23201]) ).
cnf(refute_0_23203,plain,
( or(cin,or(carry,or(t2,X))) != or(carry,or(cin,or(t2,X)))
| or(cin,or(t2,or(X,carry))) != or(cin,or(carry,or(t2,X)))
| or(cin,or(t2,or(X,carry))) = or(carry,or(cin,or(t2,X))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(cin,or(t2,or(X,carry))))),bind(Y0,$fot(or(cin,or(carry,or(t2,X))))),bind(Z0,$fot(or(carry,or(cin,or(t2,X)))))]]) ).
cnf(refute_0_23204,plain,
( or(cin,or(carry,or(t2,X))) != or(carry,or(cin,or(t2,X)))
| or(cin,or(t2,or(X,carry))) = or(carry,or(cin,or(t2,X))) ),
inference(resolve,[$cnf( $equal(or(cin,or(t2,or(X,carry))),or(cin,or(carry,or(t2,X)))) )],[refute_0_23202,refute_0_23203]) ).
cnf(refute_0_23205,plain,
or(cin,or(t2,or(X,carry))) = or(carry,or(cin,or(t2,X))),
inference(resolve,[$cnf( $equal(or(cin,or(carry,or(t2,X))),or(carry,or(cin,or(t2,X)))) )],[refute_0_23197,refute_0_23204]) ).
cnf(refute_0_23206,plain,
or(cin,or(or(X,carry),t2)) = or(cin,or(t2,or(X,carry))),
inference(subst,[],[refute_0_3788:[bind(X_37,$fot(cin)),bind(X_38,$fot(t2)),bind(X_39,$fot(or(X,carry)))]]) ).
cnf(refute_0_23207,plain,
or(or(X,carry),or(cin,t2)) = or(cin,or(or(X,carry),t2)),
inference(subst,[],[refute_0_267:[bind(X_37,$fot(or(X,carry))),bind(X_38,$fot(cin)),bind(X_39,$fot(t2))]]) ).
cnf(refute_0_23208,plain,
( or(cin,or(or(X,carry),t2)) != or(cin,or(t2,or(X,carry)))
| or(or(X,carry),or(cin,t2)) != or(cin,or(or(X,carry),t2))
| or(or(X,carry),or(cin,t2)) = or(cin,or(t2,or(X,carry))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(or(X,carry),or(cin,t2)))),bind(Y0,$fot(or(cin,or(or(X,carry),t2)))),bind(Z0,$fot(or(cin,or(t2,or(X,carry)))))]]) ).
cnf(refute_0_23209,plain,
( or(cin,or(or(X,carry),t2)) != or(cin,or(t2,or(X,carry)))
| or(or(X,carry),or(cin,t2)) = or(cin,or(t2,or(X,carry))) ),
inference(resolve,[$cnf( $equal(or(or(X,carry),or(cin,t2)),or(cin,or(or(X,carry),t2))) )],[refute_0_23207,refute_0_23208]) ).
cnf(refute_0_23210,plain,
or(or(X,carry),or(cin,t2)) = or(cin,or(t2,or(X,carry))),
inference(resolve,[$cnf( $equal(or(cin,or(or(X,carry),t2)),or(cin,or(t2,or(X,carry)))) )],[refute_0_23206,refute_0_23209]) ).
cnf(refute_0_23211,plain,
( or(cin,or(t2,or(X,carry))) != or(carry,or(cin,or(t2,X)))
| or(or(X,carry),or(cin,t2)) != or(cin,or(t2,or(X,carry)))
| or(or(X,carry),or(cin,t2)) = or(carry,or(cin,or(t2,X))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(or(X,carry),or(cin,t2)))),bind(Y0,$fot(or(cin,or(t2,or(X,carry))))),bind(Z0,$fot(or(carry,or(cin,or(t2,X)))))]]) ).
cnf(refute_0_23212,plain,
( or(cin,or(t2,or(X,carry))) != or(carry,or(cin,or(t2,X)))
| or(or(X,carry),or(cin,t2)) = or(carry,or(cin,or(t2,X))) ),
inference(resolve,[$cnf( $equal(or(or(X,carry),or(cin,t2)),or(cin,or(t2,or(X,carry)))) )],[refute_0_23210,refute_0_23211]) ).
cnf(refute_0_23213,plain,
or(or(X,carry),or(cin,t2)) = or(carry,or(cin,or(t2,X))),
inference(resolve,[$cnf( $equal(or(cin,or(t2,or(X,carry))),or(carry,or(cin,or(t2,X)))) )],[refute_0_23205,refute_0_23212]) ).
cnf(refute_0_23214,plain,
( or(or(X,carry),or(cin,t2)) != or(X,or(cin,t2))
| or(or(X,carry),or(cin,t2)) != or(carry,or(cin,or(t2,X)))
| or(carry,or(cin,or(t2,X))) = or(X,or(cin,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(X,carry),or(cin,t2)),or(X,or(cin,t2))) ),[0],$fot(or(carry,or(cin,or(t2,X))))]]) ).
cnf(refute_0_23215,plain,
( or(or(X,carry),or(cin,t2)) != or(X,or(cin,t2))
| or(carry,or(cin,or(t2,X))) = or(X,or(cin,t2)) ),
inference(resolve,[$cnf( $equal(or(or(X,carry),or(cin,t2)),or(carry,or(cin,or(t2,X)))) )],[refute_0_23213,refute_0_23214]) ).
cnf(refute_0_23216,plain,
or(carry,or(cin,or(t2,X))) = or(X,or(cin,t2)),
inference(resolve,[$cnf( $equal(or(or(X,carry),or(cin,t2)),or(X,or(cin,t2))) )],[refute_0_23196,refute_0_23215]) ).
cnf(refute_0_23217,plain,
or(carry,or(cin,or(t2,Z))) = or(Z,or(cin,t2)),
inference(subst,[],[refute_0_23216:[bind(X,$fot(Z))]]) ).
cnf(refute_0_23218,plain,
or(carry,or(or(cin,t2),Z)) = or(carry,or(or(cin,t2),Z)),
introduced(tautology,[refl,[$fot(or(carry,or(or(cin,t2),Z)))]]) ).
cnf(refute_0_23219,plain,
( or(carry,or(or(cin,t2),Z)) != or(carry,or(or(cin,t2),Z))
| or(or(cin,t2),Z) != or(cin,or(t2,Z))
| or(carry,or(or(cin,t2),Z)) = or(carry,or(cin,or(t2,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,or(or(cin,t2),Z)),or(carry,or(or(cin,t2),Z))) ),[1,1],$fot(or(cin,or(t2,Z)))]]) ).
cnf(refute_0_23220,plain,
( or(or(cin,t2),Z) != or(cin,or(t2,Z))
| or(carry,or(or(cin,t2),Z)) = or(carry,or(cin,or(t2,Z))) ),
inference(resolve,[$cnf( $equal(or(carry,or(or(cin,t2),Z)),or(carry,or(or(cin,t2),Z))) )],[refute_0_23218,refute_0_23219]) ).
cnf(refute_0_23221,plain,
or(carry,or(or(cin,t2),Z)) = or(carry,or(cin,or(t2,Z))),
inference(resolve,[$cnf( $equal(or(or(cin,t2),Z),or(cin,or(t2,Z))) )],[refute_0_23190,refute_0_23220]) ).
cnf(refute_0_23222,plain,
( or(carry,or(cin,or(t2,Z))) != or(Z,or(cin,t2))
| or(carry,or(or(cin,t2),Z)) != or(carry,or(cin,or(t2,Z)))
| or(carry,or(or(cin,t2),Z)) = or(Z,or(cin,t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(carry,or(or(cin,t2),Z)))),bind(Y0,$fot(or(carry,or(cin,or(t2,Z))))),bind(Z0,$fot(or(Z,or(cin,t2))))]]) ).
cnf(refute_0_23223,plain,
( or(carry,or(cin,or(t2,Z))) != or(Z,or(cin,t2))
| or(carry,or(or(cin,t2),Z)) = or(Z,or(cin,t2)) ),
inference(resolve,[$cnf( $equal(or(carry,or(or(cin,t2),Z)),or(carry,or(cin,or(t2,Z)))) )],[refute_0_23221,refute_0_23222]) ).
cnf(refute_0_23224,plain,
or(carry,or(or(cin,t2),Z)) = or(Z,or(cin,t2)),
inference(resolve,[$cnf( $equal(or(carry,or(cin,or(t2,Z))),or(Z,or(cin,t2))) )],[refute_0_23217,refute_0_23223]) ).
cnf(refute_0_23225,plain,
( or(carry,or(or(cin,t2),Z)) != or(Z,or(cin,t2))
| or(cin,or(t2,Z)) != or(carry,or(or(cin,t2),Z))
| or(cin,or(t2,Z)) = or(Z,or(cin,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,or(t2,Z)),or(carry,or(or(cin,t2),Z))) ),[1],$fot(or(Z,or(cin,t2)))]]) ).
cnf(refute_0_23226,plain,
( or(cin,or(t2,Z)) != or(carry,or(or(cin,t2),Z))
| or(cin,or(t2,Z)) = or(Z,or(cin,t2)) ),
inference(resolve,[$cnf( $equal(or(carry,or(or(cin,t2),Z)),or(Z,or(cin,t2))) )],[refute_0_23224,refute_0_23225]) ).
cnf(refute_0_23227,plain,
( or(or(cin,t2),Z) != or(carry,or(or(cin,t2),Z))
| or(cin,or(t2,Z)) = or(Z,or(cin,t2)) ),
inference(resolve,[$cnf( $equal(or(cin,or(t2,Z)),or(carry,or(or(cin,t2),Z))) )],[refute_0_23192,refute_0_23226]) ).
cnf(refute_0_23228,plain,
or(cin,or(t2,Z)) = or(Z,or(cin,t2)),
inference(resolve,[$cnf( $equal(or(or(cin,t2),Z),or(carry,or(or(cin,t2),Z))) )],[refute_0_23189,refute_0_23227]) ).
cnf(refute_0_23229,plain,
or(Z,or(cin,t2)) = or(Z,or(cin,t2)),
introduced(tautology,[refl,[$fot(or(Z,or(cin,t2)))]]) ).
cnf(refute_0_23230,plain,
( or(Z,or(cin,t2)) != or(Z,or(cin,t2))
| or(cin,t2) != or(carry,t2)
| or(Z,or(cin,t2)) = or(Z,or(carry,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(Z,or(cin,t2)),or(Z,or(cin,t2))) ),[1,1],$fot(or(carry,t2))]]) ).
cnf(refute_0_23231,plain,
( or(cin,t2) != or(carry,t2)
| or(Z,or(cin,t2)) = or(Z,or(carry,t2)) ),
inference(resolve,[$cnf( $equal(or(Z,or(cin,t2)),or(Z,or(cin,t2))) )],[refute_0_23229,refute_0_23230]) ).
cnf(refute_0_23232,plain,
or(Z,or(cin,t2)) = or(Z,or(carry,t2)),
inference(resolve,[$cnf( $equal(or(cin,t2),or(carry,t2)) )],[refute_0_21215,refute_0_23231]) ).
cnf(refute_0_23233,plain,
( or(Z,or(cin,t2)) != or(Z,or(carry,t2))
| or(cin,or(t2,Z)) != or(Z,or(cin,t2))
| or(cin,or(t2,Z)) = or(Z,or(carry,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,or(t2,Z)),or(Z,or(cin,t2))) ),[1],$fot(or(Z,or(carry,t2)))]]) ).
cnf(refute_0_23234,plain,
( or(cin,or(t2,Z)) != or(Z,or(cin,t2))
| or(cin,or(t2,Z)) = or(Z,or(carry,t2)) ),
inference(resolve,[$cnf( $equal(or(Z,or(cin,t2)),or(Z,or(carry,t2))) )],[refute_0_23232,refute_0_23233]) ).
cnf(refute_0_23235,plain,
or(cin,or(t2,Z)) = or(Z,or(carry,t2)),
inference(resolve,[$cnf( $equal(or(cin,or(t2,Z)),or(Z,or(cin,t2))) )],[refute_0_23228,refute_0_23234]) ).
cnf(refute_0_23236,plain,
( or(cin,t2) != or(carry,t2)
| or(or(cin,t2),Z) != or(cin,or(t2,Z))
| or(or(carry,t2),Z) = or(cin,or(t2,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(cin,t2),Z),or(cin,or(t2,Z))) ),[0,0],$fot(or(carry,t2))]]) ).
cnf(refute_0_23237,plain,
( or(or(cin,t2),Z) != or(cin,or(t2,Z))
| or(or(carry,t2),Z) = or(cin,or(t2,Z)) ),
inference(resolve,[$cnf( $equal(or(cin,t2),or(carry,t2)) )],[refute_0_21215,refute_0_23236]) ).
cnf(refute_0_23238,plain,
or(or(carry,t2),Z) = or(cin,or(t2,Z)),
inference(resolve,[$cnf( $equal(or(or(cin,t2),Z),or(cin,or(t2,Z))) )],[refute_0_23190,refute_0_23237]) ).
cnf(refute_0_23239,plain,
( or(or(carry,t2),Z) != or(carry,or(t2,Z))
| or(or(carry,t2),Z) != or(cin,or(t2,Z))
| or(carry,or(t2,Z)) = or(cin,or(t2,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(carry,t2),Z),or(cin,or(t2,Z))) ),[0],$fot(or(carry,or(t2,Z)))]]) ).
cnf(refute_0_23240,plain,
( or(or(carry,t2),Z) != or(cin,or(t2,Z))
| or(carry,or(t2,Z)) = or(cin,or(t2,Z)) ),
inference(resolve,[$cnf( $equal(or(or(carry,t2),Z),or(carry,or(t2,Z))) )],[refute_0_19968,refute_0_23239]) ).
cnf(refute_0_23241,plain,
or(carry,or(t2,Z)) = or(cin,or(t2,Z)),
inference(resolve,[$cnf( $equal(or(or(carry,t2),Z),or(cin,or(t2,Z))) )],[refute_0_23238,refute_0_23240]) ).
cnf(refute_0_23242,plain,
( or(carry,or(t2,Z)) != or(cin,or(t2,Z))
| or(cin,or(t2,Z)) = or(carry,or(t2,Z)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(carry,or(t2,Z)))),bind(Y0,$fot(or(cin,or(t2,Z))))]]) ).
cnf(refute_0_23243,plain,
or(cin,or(t2,Z)) = or(carry,or(t2,Z)),
inference(resolve,[$cnf( $equal(or(carry,or(t2,Z)),or(cin,or(t2,Z))) )],[refute_0_23241,refute_0_23242]) ).
cnf(refute_0_23244,plain,
( or(cin,or(t2,Z)) != or(Z,or(carry,t2))
| or(cin,or(t2,Z)) != or(carry,or(t2,Z))
| or(carry,or(t2,Z)) = or(Z,or(carry,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,or(t2,Z)),or(Z,or(carry,t2))) ),[0],$fot(or(carry,or(t2,Z)))]]) ).
cnf(refute_0_23245,plain,
( or(cin,or(t2,Z)) != or(Z,or(carry,t2))
| or(carry,or(t2,Z)) = or(Z,or(carry,t2)) ),
inference(resolve,[$cnf( $equal(or(cin,or(t2,Z)),or(carry,or(t2,Z))) )],[refute_0_23243,refute_0_23244]) ).
cnf(refute_0_23246,plain,
or(carry,or(t2,Z)) = or(Z,or(carry,t2)),
inference(resolve,[$cnf( $equal(or(cin,or(t2,Z)),or(Z,or(carry,t2))) )],[refute_0_23235,refute_0_23245]) ).
cnf(refute_0_23247,plain,
( or(carry,or(t2,Z)) != or(Z,or(carry,t2))
| or(Z,or(carry,t2)) = or(carry,or(t2,Z)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(carry,or(t2,Z)))),bind(Y0,$fot(or(Z,or(carry,t2))))]]) ).
cnf(refute_0_23248,plain,
or(Z,or(carry,t2)) = or(carry,or(t2,Z)),
inference(resolve,[$cnf( $equal(or(carry,or(t2,Z)),or(Z,or(carry,t2))) )],[refute_0_23246,refute_0_23247]) ).
cnf(refute_0_23249,plain,
or(t6,or(carry,t2)) = or(carry,or(t2,t6)),
inference(subst,[],[refute_0_23248:[bind(Z,$fot(t6))]]) ).
cnf(refute_0_23250,plain,
( or(carry,or(t2,t6)) != or(carry,t2)
| or(t6,or(carry,t2)) != or(carry,or(t2,t6))
| or(t6,or(carry,t2)) = or(carry,t2) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t6,or(carry,t2)))),bind(Y0,$fot(or(carry,or(t2,t6)))),bind(Z0,$fot(or(carry,t2)))]]) ).
cnf(refute_0_23251,plain,
( or(carry,or(t2,t6)) != or(carry,t2)
| or(t6,or(carry,t2)) = or(carry,t2) ),
inference(resolve,[$cnf( $equal(or(t6,or(carry,t2)),or(carry,or(t2,t6))) )],[refute_0_23249,refute_0_23250]) ).
cnf(refute_0_23252,plain,
or(t6,or(carry,t2)) = or(carry,t2),
inference(resolve,[$cnf( $equal(or(carry,or(t2,t6)),or(carry,t2)) )],[refute_0_23185,refute_0_23251]) ).
cnf(refute_0_23253,plain,
or(t6,not(not(or(carry,t2)))) = or(t6,not(not(or(carry,t2)))),
introduced(tautology,[refl,[$fot(or(t6,not(not(or(carry,t2)))))]]) ).
cnf(refute_0_23254,plain,
( not(not(or(carry,t2))) != or(carry,t2)
| or(t6,not(not(or(carry,t2)))) != or(t6,not(not(or(carry,t2))))
| or(t6,not(not(or(carry,t2)))) = or(t6,or(carry,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,not(not(or(carry,t2)))),or(t6,not(not(or(carry,t2))))) ),[1,1],$fot(or(carry,t2))]]) ).
cnf(refute_0_23255,plain,
( not(not(or(carry,t2))) != or(carry,t2)
| or(t6,not(not(or(carry,t2)))) = or(t6,or(carry,t2)) ),
inference(resolve,[$cnf( $equal(or(t6,not(not(or(carry,t2)))),or(t6,not(not(or(carry,t2))))) )],[refute_0_23253,refute_0_23254]) ).
cnf(refute_0_23256,plain,
or(t6,not(not(or(carry,t2)))) = or(t6,or(carry,t2)),
inference(resolve,[$cnf( $equal(not(not(or(carry,t2))),or(carry,t2)) )],[refute_0_18607,refute_0_23255]) ).
cnf(refute_0_23257,plain,
( or(t6,not(not(or(carry,t2)))) != or(t6,or(carry,t2))
| or(t6,or(carry,t2)) != or(carry,t2)
| or(t6,not(not(or(carry,t2)))) = or(carry,t2) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t6,not(not(or(carry,t2)))))),bind(Y0,$fot(or(t6,or(carry,t2)))),bind(Z0,$fot(or(carry,t2)))]]) ).
cnf(refute_0_23258,plain,
( or(t6,or(carry,t2)) != or(carry,t2)
| or(t6,not(not(or(carry,t2)))) = or(carry,t2) ),
inference(resolve,[$cnf( $equal(or(t6,not(not(or(carry,t2)))),or(t6,or(carry,t2))) )],[refute_0_23256,refute_0_23257]) ).
cnf(refute_0_23259,plain,
or(t6,not(not(or(carry,t2)))) = or(carry,t2),
inference(resolve,[$cnf( $equal(or(t6,or(carry,t2)),or(carry,t2)) )],[refute_0_23252,refute_0_23258]) ).
cnf(refute_0_23260,plain,
( or(t6,not(not(or(carry,t2)))) != or(carry,t2)
| or(t6,not(xor(t5,or(carry,t2)))) != or(t6,not(not(or(carry,t2))))
| or(t6,not(xor(t5,or(carry,t2)))) = or(carry,t2) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,not(xor(t5,or(carry,t2)))),or(t6,not(not(or(carry,t2))))) ),[1],$fot(or(carry,t2))]]) ).
cnf(refute_0_23261,plain,
( or(t6,not(xor(t5,or(carry,t2)))) != or(t6,not(not(or(carry,t2))))
| or(t6,not(xor(t5,or(carry,t2)))) = or(carry,t2) ),
inference(resolve,[$cnf( $equal(or(t6,not(not(or(carry,t2)))),or(carry,t2)) )],[refute_0_23259,refute_0_23260]) ).
cnf(refute_0_23262,plain,
or(t6,not(xor(t5,or(carry,t2)))) = or(carry,t2),
inference(resolve,[$cnf( $equal(or(t6,not(xor(t5,or(carry,t2)))),or(t6,not(not(or(carry,t2))))) )],[refute_0_23177,refute_0_23261]) ).
cnf(refute_0_23263,plain,
( and(not(cin),or(t6,not(xor(t5,or(carry,t2))))) != xor(cin,or(t6,not(xor(t5,or(carry,t2)))))
| or(t6,not(xor(t5,or(carry,t2)))) != or(carry,t2)
| and(not(cin),or(carry,t2)) = xor(cin,or(t6,not(xor(t5,or(carry,t2))))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(cin),or(t6,not(xor(t5,or(carry,t2))))),xor(cin,or(t6,not(xor(t5,or(carry,t2)))))) ),[0,1],$fot(or(carry,t2))]]) ).
cnf(refute_0_23264,plain,
( and(not(cin),or(t6,not(xor(t5,or(carry,t2))))) != xor(cin,or(t6,not(xor(t5,or(carry,t2)))))
| and(not(cin),or(carry,t2)) = xor(cin,or(t6,not(xor(t5,or(carry,t2))))) ),
inference(resolve,[$cnf( $equal(or(t6,not(xor(t5,or(carry,t2)))),or(carry,t2)) )],[refute_0_23262,refute_0_23263]) ).
cnf(refute_0_23265,plain,
and(not(cin),or(carry,t2)) = xor(cin,or(t6,not(xor(t5,or(carry,t2))))),
inference(resolve,[$cnf( $equal(and(not(cin),or(t6,not(xor(t5,or(carry,t2))))),xor(cin,or(t6,not(xor(t5,or(carry,t2)))))) )],[refute_0_23167,refute_0_23264]) ).
cnf(refute_0_23266,plain,
xor(cin,or(t6,not(xor(t5,or(carry,t2))))) = xor(cin,or(t6,not(xor(t5,or(carry,t2))))),
introduced(tautology,[refl,[$fot(xor(cin,or(t6,not(xor(t5,or(carry,t2))))))]]) ).
cnf(refute_0_23267,plain,
( or(t6,not(xor(t5,or(carry,t2)))) != or(carry,t2)
| xor(cin,or(t6,not(xor(t5,or(carry,t2))))) != xor(cin,or(t6,not(xor(t5,or(carry,t2)))))
| xor(cin,or(t6,not(xor(t5,or(carry,t2))))) = xor(cin,or(carry,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,or(t6,not(xor(t5,or(carry,t2))))),xor(cin,or(t6,not(xor(t5,or(carry,t2)))))) ),[1,1],$fot(or(carry,t2))]]) ).
cnf(refute_0_23268,plain,
( or(t6,not(xor(t5,or(carry,t2)))) != or(carry,t2)
| xor(cin,or(t6,not(xor(t5,or(carry,t2))))) = xor(cin,or(carry,t2)) ),
inference(resolve,[$cnf( $equal(xor(cin,or(t6,not(xor(t5,or(carry,t2))))),xor(cin,or(t6,not(xor(t5,or(carry,t2)))))) )],[refute_0_23266,refute_0_23267]) ).
cnf(refute_0_23269,plain,
xor(cin,or(t6,not(xor(t5,or(carry,t2))))) = xor(cin,or(carry,t2)),
inference(resolve,[$cnf( $equal(or(t6,not(xor(t5,or(carry,t2)))),or(carry,t2)) )],[refute_0_23262,refute_0_23268]) ).
cnf(refute_0_23270,plain,
( and(not(cin),or(carry,t2)) != xor(cin,or(t6,not(xor(t5,or(carry,t2)))))
| xor(cin,or(t6,not(xor(t5,or(carry,t2))))) != xor(cin,or(carry,t2))
| and(not(cin),or(carry,t2)) = xor(cin,or(carry,t2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(cin),or(carry,t2)),xor(cin,or(carry,t2))) ),[0],$fot(xor(cin,or(t6,not(xor(t5,or(carry,t2))))))]]) ).
cnf(refute_0_23271,plain,
( and(not(cin),or(carry,t2)) != xor(cin,or(t6,not(xor(t5,or(carry,t2)))))
| and(not(cin),or(carry,t2)) = xor(cin,or(carry,t2)) ),
inference(resolve,[$cnf( $equal(xor(cin,or(t6,not(xor(t5,or(carry,t2))))),xor(cin,or(carry,t2))) )],[refute_0_23269,refute_0_23270]) ).
cnf(refute_0_23272,plain,
and(not(cin),or(carry,t2)) = xor(cin,or(carry,t2)),
inference(resolve,[$cnf( $equal(and(not(cin),or(carry,t2)),xor(cin,or(t6,not(xor(t5,or(carry,t2)))))) )],[refute_0_23265,refute_0_23271]) ).
cnf(refute_0_23273,plain,
( and(not(cin),or(carry,t2)) != and(t5,and(not(cin),or(carry,t2)))
| and(not(cin),or(carry,t2)) != xor(cin,or(carry,t2))
| and(not(cin),or(carry,t2)) = and(t5,xor(cin,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(cin),or(carry,t2)),and(t5,and(not(cin),or(carry,t2)))) ),[1,1],$fot(xor(cin,or(carry,t2)))]]) ).
cnf(refute_0_23274,plain,
( and(not(cin),or(carry,t2)) != and(t5,and(not(cin),or(carry,t2)))
| and(not(cin),or(carry,t2)) = and(t5,xor(cin,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(not(cin),or(carry,t2)),xor(cin,or(carry,t2))) )],[refute_0_23272,refute_0_23273]) ).
cnf(refute_0_23275,plain,
and(not(cin),or(carry,t2)) = and(t5,xor(cin,or(carry,t2))),
inference(resolve,[$cnf( $equal(and(not(cin),or(carry,t2)),and(t5,and(not(cin),or(carry,t2)))) )],[refute_0_23150,refute_0_23274]) ).
cnf(refute_0_23276,plain,
( and(not(cin),or(carry,t2)) != and(t5,xor(cin,or(carry,t2)))
| and(not(cin),or(carry,t2)) != xor(cin,or(carry,t2))
| xor(cin,or(carry,t2)) = and(t5,xor(cin,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(cin),or(carry,t2)),and(t5,xor(cin,or(carry,t2)))) ),[0],$fot(xor(cin,or(carry,t2)))]]) ).
cnf(refute_0_23277,plain,
( and(not(cin),or(carry,t2)) != and(t5,xor(cin,or(carry,t2)))
| xor(cin,or(carry,t2)) = and(t5,xor(cin,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(not(cin),or(carry,t2)),xor(cin,or(carry,t2))) )],[refute_0_23272,refute_0_23276]) ).
cnf(refute_0_23278,plain,
xor(cin,or(carry,t2)) = and(t5,xor(cin,or(carry,t2))),
inference(resolve,[$cnf( $equal(and(not(cin),or(carry,t2)),and(t5,xor(cin,or(carry,t2)))) )],[refute_0_23275,refute_0_23277]) ).
cnf(refute_0_23279,plain,
xor(cin,or(carry,t2)) = xor(cin,or(carry,t2)),
introduced(tautology,[refl,[$fot(xor(cin,or(carry,t2)))]]) ).
cnf(refute_0_23280,plain,
( or(carry,t2) != or(b,t6)
| xor(cin,or(carry,t2)) != xor(cin,or(carry,t2))
| xor(cin,or(carry,t2)) = xor(cin,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,or(carry,t2)),xor(cin,or(carry,t2))) ),[1,1],$fot(or(b,t6))]]) ).
cnf(refute_0_23281,plain,
( or(carry,t2) != or(b,t6)
| xor(cin,or(carry,t2)) = xor(cin,or(b,t6)) ),
inference(resolve,[$cnf( $equal(xor(cin,or(carry,t2)),xor(cin,or(carry,t2))) )],[refute_0_23279,refute_0_23280]) ).
cnf(refute_0_23282,plain,
xor(cin,or(carry,t2)) = xor(cin,or(b,t6)),
inference(resolve,[$cnf( $equal(or(carry,t2),or(b,t6)) )],[refute_0_19502,refute_0_23281]) ).
cnf(refute_0_23283,plain,
( xor(cin,or(carry,t2)) != and(t5,xor(cin,or(carry,t2)))
| xor(cin,or(carry,t2)) != xor(cin,or(b,t6))
| xor(cin,or(b,t6)) = and(t5,xor(cin,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,or(carry,t2)),and(t5,xor(cin,or(carry,t2)))) ),[0],$fot(xor(cin,or(b,t6)))]]) ).
cnf(refute_0_23284,plain,
( xor(cin,or(carry,t2)) != and(t5,xor(cin,or(carry,t2)))
| xor(cin,or(b,t6)) = and(t5,xor(cin,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(xor(cin,or(carry,t2)),xor(cin,or(b,t6))) )],[refute_0_23282,refute_0_23283]) ).
cnf(refute_0_23285,plain,
and(t5,xor(cin,or(carry,t2))) = and(t5,xor(cin,or(carry,t2))),
introduced(tautology,[refl,[$fot(and(t5,xor(cin,or(carry,t2))))]]) ).
cnf(refute_0_23286,plain,
( and(t5,xor(cin,or(carry,t2))) != and(t5,xor(cin,or(carry,t2)))
| xor(cin,or(carry,t2)) != xor(cin,or(b,t6))
| and(t5,xor(cin,or(carry,t2))) = and(t5,xor(cin,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,xor(cin,or(carry,t2))),and(t5,xor(cin,or(carry,t2)))) ),[1,1],$fot(xor(cin,or(b,t6)))]]) ).
cnf(refute_0_23287,plain,
( xor(cin,or(carry,t2)) != xor(cin,or(b,t6))
| and(t5,xor(cin,or(carry,t2))) = and(t5,xor(cin,or(b,t6))) ),
inference(resolve,[$cnf( $equal(and(t5,xor(cin,or(carry,t2))),and(t5,xor(cin,or(carry,t2)))) )],[refute_0_23285,refute_0_23286]) ).
cnf(refute_0_23288,plain,
and(t5,xor(cin,or(carry,t2))) = and(t5,xor(cin,or(b,t6))),
inference(resolve,[$cnf( $equal(xor(cin,or(carry,t2)),xor(cin,or(b,t6))) )],[refute_0_23282,refute_0_23287]) ).
cnf(refute_0_23289,plain,
( and(t5,xor(cin,or(carry,t2))) != and(t5,xor(cin,or(b,t6)))
| xor(cin,or(b,t6)) != and(t5,xor(cin,or(carry,t2)))
| xor(cin,or(b,t6)) = and(t5,xor(cin,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,or(b,t6)),and(t5,xor(cin,or(carry,t2)))) ),[1],$fot(and(t5,xor(cin,or(b,t6))))]]) ).
cnf(refute_0_23290,plain,
( xor(cin,or(b,t6)) != and(t5,xor(cin,or(carry,t2)))
| xor(cin,or(b,t6)) = and(t5,xor(cin,or(b,t6))) ),
inference(resolve,[$cnf( $equal(and(t5,xor(cin,or(carry,t2))),and(t5,xor(cin,or(b,t6)))) )],[refute_0_23288,refute_0_23289]) ).
cnf(refute_0_23291,plain,
( xor(cin,or(carry,t2)) != and(t5,xor(cin,or(carry,t2)))
| xor(cin,or(b,t6)) = and(t5,xor(cin,or(b,t6))) ),
inference(resolve,[$cnf( $equal(xor(cin,or(b,t6)),and(t5,xor(cin,or(carry,t2)))) )],[refute_0_23284,refute_0_23290]) ).
cnf(refute_0_23292,plain,
xor(cin,or(b,t6)) = and(t5,xor(cin,or(b,t6))),
inference(resolve,[$cnf( $equal(xor(cin,or(carry,t2)),and(t5,xor(cin,or(carry,t2)))) )],[refute_0_23278,refute_0_23291]) ).
cnf(refute_0_23293,plain,
( xor(cin,or(b,t6)) != and(t5,xor(cin,or(b,t6)))
| and(t5,xor(cin,or(b,t6))) = xor(cin,or(b,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(cin,or(b,t6)))),bind(Y0,$fot(and(t5,xor(cin,or(b,t6)))))]]) ).
cnf(refute_0_23294,plain,
and(t5,xor(cin,or(b,t6))) = xor(cin,or(b,t6)),
inference(resolve,[$cnf( $equal(xor(cin,or(b,t6)),and(t5,xor(cin,or(b,t6)))) )],[refute_0_23292,refute_0_23293]) ).
cnf(refute_0_23295,plain,
( and(not(t6),xor(cin,or(b,t6))) != and(t4,and(t5,xor(cin,or(b,t6))))
| and(t5,xor(cin,or(b,t6))) != xor(cin,or(b,t6))
| and(not(t6),xor(cin,or(b,t6))) = and(t4,xor(cin,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),xor(cin,or(b,t6))),and(t4,and(t5,xor(cin,or(b,t6))))) ),[1,1],$fot(xor(cin,or(b,t6)))]]) ).
cnf(refute_0_23296,plain,
( and(not(t6),xor(cin,or(b,t6))) != and(t4,and(t5,xor(cin,or(b,t6))))
| and(not(t6),xor(cin,or(b,t6))) = and(t4,xor(cin,or(b,t6))) ),
inference(resolve,[$cnf( $equal(and(t5,xor(cin,or(b,t6))),xor(cin,or(b,t6))) )],[refute_0_23294,refute_0_23295]) ).
cnf(refute_0_23297,plain,
and(not(t6),xor(cin,or(b,t6))) = and(t4,xor(cin,or(b,t6))),
inference(resolve,[$cnf( $equal(and(not(t6),xor(cin,or(b,t6))),and(t4,and(t5,xor(cin,or(b,t6))))) )],[refute_0_23149,refute_0_23296]) ).
cnf(refute_0_23298,plain,
and(not(cin),not(t6)) = not(or(cin,t6)),
inference(subst,[],[refute_0_101:[bind(X,$fot(cin)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_23299,plain,
( and(not(cin),not(t6)) != not(or(cin,t6))
| not(or(cin,t6)) != not(t6)
| and(not(cin),not(t6)) = not(t6) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(cin),not(t6)))),bind(Y0,$fot(not(or(cin,t6)))),bind(Z0,$fot(not(t6)))]]) ).
cnf(refute_0_23300,plain,
( not(or(cin,t6)) != not(t6)
| and(not(cin),not(t6)) = not(t6) ),
inference(resolve,[$cnf( $equal(and(not(cin),not(t6)),not(or(cin,t6))) )],[refute_0_23298,refute_0_23299]) ).
cnf(refute_0_23301,plain,
and(not(cin),not(t6)) = not(t6),
inference(resolve,[$cnf( $equal(not(or(cin,t6)),not(t6)) )],[refute_0_15984,refute_0_23300]) ).
cnf(refute_0_23302,plain,
and(t2,and(not(cin),not(t6))) = and(t2,and(not(cin),not(t6))),
introduced(tautology,[refl,[$fot(and(t2,and(not(cin),not(t6))))]]) ).
cnf(refute_0_23303,plain,
( and(not(cin),not(t6)) != not(t6)
| and(t2,and(not(cin),not(t6))) != and(t2,and(not(cin),not(t6)))
| and(t2,and(not(cin),not(t6))) = and(t2,not(t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,and(not(cin),not(t6))),and(t2,and(not(cin),not(t6)))) ),[1,1],$fot(not(t6))]]) ).
cnf(refute_0_23304,plain,
( and(not(cin),not(t6)) != not(t6)
| and(t2,and(not(cin),not(t6))) = and(t2,not(t6)) ),
inference(resolve,[$cnf( $equal(and(t2,and(not(cin),not(t6))),and(t2,and(not(cin),not(t6)))) )],[refute_0_23302,refute_0_23303]) ).
cnf(refute_0_23305,plain,
and(t2,and(not(cin),not(t6))) = and(t2,not(t6)),
inference(resolve,[$cnf( $equal(and(not(cin),not(t6)),not(t6)) )],[refute_0_23301,refute_0_23304]) ).
cnf(refute_0_23306,plain,
( and(X_708,and(not(cin),X_709)) != and(X_708,and(X_709,not(cin)))
| and(X_708,and(X_709,not(cin))) = and(X_708,and(not(cin),X_709)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X_708,and(not(cin),X_709)))),bind(Y0,$fot(and(X_708,and(X_709,not(cin)))))]]) ).
cnf(refute_0_23307,plain,
and(X_708,and(X_709,not(cin))) = and(X_708,and(not(cin),X_709)),
inference(resolve,[$cnf( $equal(and(X_708,and(not(cin),X_709)),and(X_708,and(X_709,not(cin)))) )],[refute_0_16033,refute_0_23306]) ).
cnf(refute_0_23308,plain,
and(t2,and(not(t6),not(cin))) = and(t2,and(not(cin),not(t6))),
inference(subst,[],[refute_0_23307:[bind(X_708,$fot(t2)),bind(X_709,$fot(not(t6)))]]) ).
cnf(refute_0_23309,plain,
( and(t2,and(not(cin),not(t6))) != and(t2,not(t6))
| and(t2,and(not(t6),not(cin))) != and(t2,and(not(cin),not(t6)))
| and(t2,and(not(t6),not(cin))) = and(t2,not(t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t2,and(not(t6),not(cin))))),bind(Y0,$fot(and(t2,and(not(cin),not(t6))))),bind(Z0,$fot(and(t2,not(t6))))]]) ).
cnf(refute_0_23310,plain,
( and(t2,and(not(cin),not(t6))) != and(t2,not(t6))
| and(t2,and(not(t6),not(cin))) = and(t2,not(t6)) ),
inference(resolve,[$cnf( $equal(and(t2,and(not(t6),not(cin))),and(t2,and(not(cin),not(t6)))) )],[refute_0_23308,refute_0_23309]) ).
cnf(refute_0_23311,plain,
and(t2,and(not(t6),not(cin))) = and(t2,not(t6)),
inference(resolve,[$cnf( $equal(and(t2,and(not(cin),not(t6))),and(t2,not(t6))) )],[refute_0_23305,refute_0_23310]) ).
cnf(refute_0_23312,plain,
and(not(t6),and(t2,not(cin))) = and(t2,and(not(t6),not(cin))),
inference(subst,[],[refute_0_4220:[bind(X,$fot(t2)),bind(Z,$fot(not(cin))),bind(X_669,$fot(not(t6)))]]) ).
cnf(refute_0_23313,plain,
( and(not(t6),and(t2,not(cin))) != and(t2,and(not(t6),not(cin)))
| and(t2,and(not(t6),not(cin))) != and(t2,not(t6))
| and(not(t6),and(t2,not(cin))) = and(t2,not(t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t6),and(t2,not(cin))))),bind(Y0,$fot(and(t2,and(not(t6),not(cin))))),bind(Z0,$fot(and(t2,not(t6))))]]) ).
cnf(refute_0_23314,plain,
( and(t2,and(not(t6),not(cin))) != and(t2,not(t6))
| and(not(t6),and(t2,not(cin))) = and(t2,not(t6)) ),
inference(resolve,[$cnf( $equal(and(not(t6),and(t2,not(cin))),and(t2,and(not(t6),not(cin)))) )],[refute_0_23312,refute_0_23313]) ).
cnf(refute_0_23315,plain,
and(not(t6),and(t2,not(cin))) = and(t2,not(t6)),
inference(resolve,[$cnf( $equal(and(t2,and(not(t6),not(cin))),and(t2,not(t6))) )],[refute_0_23311,refute_0_23314]) ).
cnf(refute_0_23316,plain,
or(and(t7,not(xor(t5,or(b,t6)))),and(not(t7),xor(t5,or(b,t6)))) = xor(t7,xor(t5,or(b,t6))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t7)),bind(Y,$fot(xor(t5,or(b,t6))))]]) ).
cnf(refute_0_23317,plain,
ll0 = xor(or(t7,not(xor(t5,or(b,t6)))),or(not(xor(t5,or(b,t6))),t7)),
inference(subst,[],[refute_0_131:[bind(X_146,$fot(not(xor(t5,or(b,t6))))),bind(X_147,$fot(t7))]]) ).
cnf(refute_0_23318,plain,
ll1 = or(t7,not(and(t4,not(xor(t6,or(b,t6)))))),
inference(subst,[],[refute_0_22653:[bind(Y,$fot(not(xor(t6,or(b,t6)))))]]) ).
cnf(refute_0_23319,plain,
( and(t4,not(xor(t6,or(b,t6)))) != xor(t5,or(b,t6))
| ll1 != or(t7,not(and(t4,not(xor(t6,or(b,t6))))))
| ll1 = or(t7,not(xor(t5,or(b,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t7,not(and(t4,not(xor(t6,or(b,t6))))))) ),[1,1,0],$fot(xor(t5,or(b,t6)))]]) ).
cnf(refute_0_23320,plain,
( ll1 != or(t7,not(and(t4,not(xor(t6,or(b,t6))))))
| ll1 = or(t7,not(xor(t5,or(b,t6)))) ),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t6,or(b,t6)))),xor(t5,or(b,t6))) )],[refute_0_21269,refute_0_23319]) ).
cnf(refute_0_23321,plain,
ll1 = or(t7,not(xor(t5,or(b,t6)))),
inference(resolve,[$cnf( $equal(ll1,or(t7,not(and(t4,not(xor(t6,or(b,t6))))))) )],[refute_0_23318,refute_0_23320]) ).
cnf(refute_0_23322,plain,
( ll1 != or(t7,not(xor(t5,or(b,t6))))
| or(t7,not(xor(t5,or(b,t6)))) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(t7,not(xor(t5,or(b,t6))))))]]) ).
cnf(refute_0_23323,plain,
or(t7,not(xor(t5,or(b,t6)))) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(t7,not(xor(t5,or(b,t6))))) )],[refute_0_23321,refute_0_23322]) ).
cnf(refute_0_23324,plain,
( ll0 != xor(or(t7,not(xor(t5,or(b,t6)))),or(not(xor(t5,or(b,t6))),t7))
| or(t7,not(xor(t5,or(b,t6)))) != ll1
| ll0 = xor(ll1,or(not(xor(t5,or(b,t6))),t7)) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,xor(or(t7,not(xor(t5,or(b,t6)))),or(not(xor(t5,or(b,t6))),t7))) ),[1,0],$fot(ll1)]]) ).
cnf(refute_0_23325,plain,
( ll0 != xor(or(t7,not(xor(t5,or(b,t6)))),or(not(xor(t5,or(b,t6))),t7))
| ll0 = xor(ll1,or(not(xor(t5,or(b,t6))),t7)) ),
inference(resolve,[$cnf( $equal(or(t7,not(xor(t5,or(b,t6)))),ll1) )],[refute_0_23323,refute_0_23324]) ).
cnf(refute_0_23326,plain,
ll0 = xor(ll1,or(not(xor(t5,or(b,t6))),t7)),
inference(resolve,[$cnf( $equal(ll0,xor(or(t7,not(xor(t5,or(b,t6)))),or(not(xor(t5,or(b,t6))),t7))) )],[refute_0_23317,refute_0_23325]) ).
cnf(refute_0_23327,plain,
not(or(t7,not(xor(t5,or(b,t6))))) = and(not(t7),xor(t5,or(b,t6))),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(t5,or(b,t6)))),bind(X_25,$fot(t7))]]) ).
cnf(refute_0_23328,plain,
not(or(X,xor(sum,t6))) = and(not(X),not(xor(sum,t6))),
inference(subst,[],[or_demorgan:[bind(Y,$fot(xor(sum,t6)))]]) ).
cnf(refute_0_23329,plain,
( not(or(X,xor(sum,t6))) != and(not(X),not(xor(sum,t6)))
| not(xor(sum,t6)) != and(sum,t6)
| not(or(X,xor(sum,t6))) = and(not(X),and(sum,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(sum,t6))),and(not(X),not(xor(sum,t6)))) ),[1,1],$fot(and(sum,t6))]]) ).
cnf(refute_0_23330,plain,
( not(or(X,xor(sum,t6))) != and(not(X),not(xor(sum,t6)))
| not(or(X,xor(sum,t6))) = and(not(X),and(sum,t6)) ),
inference(resolve,[$cnf( $equal(not(xor(sum,t6)),and(sum,t6)) )],[refute_0_4973,refute_0_23329]) ).
cnf(refute_0_23331,plain,
not(or(X,xor(sum,t6))) = and(not(X),and(sum,t6)),
inference(resolve,[$cnf( $equal(not(or(X,xor(sum,t6))),and(not(X),not(xor(sum,t6)))) )],[refute_0_23328,refute_0_23330]) ).
cnf(refute_0_23332,plain,
not(or(not(and(sum,t6)),X_26)) = and(and(sum,t6),not(X_26)),
inference(subst,[],[refute_0_159:[bind(X,$fot(and(sum,t6)))]]) ).
cnf(refute_0_23333,plain,
( not(and(sum,t6)) != xor(sum,t6)
| not(or(not(and(sum,t6)),X_26)) != and(and(sum,t6),not(X_26))
| not(or(xor(sum,t6),X_26)) = and(and(sum,t6),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(and(sum,t6)),X_26)),and(and(sum,t6),not(X_26))) ),[0,0,0],$fot(xor(sum,t6))]]) ).
cnf(refute_0_23334,plain,
( not(or(not(and(sum,t6)),X_26)) != and(and(sum,t6),not(X_26))
| not(or(xor(sum,t6),X_26)) = and(and(sum,t6),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(and(sum,t6)),xor(sum,t6)) )],[refute_0_4947,refute_0_23333]) ).
cnf(refute_0_23335,plain,
not(or(xor(sum,t6),X_26)) = and(and(sum,t6),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(not(and(sum,t6)),X_26)),and(and(sum,t6),not(X_26))) )],[refute_0_23332,refute_0_23334]) ).
cnf(refute_0_23336,plain,
and(and(sum,t6),not(X_26)) = and(sum,and(t6,not(X_26))),
inference(subst,[],[and_associative:[bind(X,$fot(sum)),bind(Y,$fot(t6)),bind(Z,$fot(not(X_26)))]]) ).
cnf(refute_0_23337,plain,
( and(and(sum,t6),not(X_26)) != and(sum,and(t6,not(X_26)))
| not(or(xor(sum,t6),X_26)) != and(and(sum,t6),not(X_26))
| not(or(xor(sum,t6),X_26)) = and(sum,and(t6,not(X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(sum,t6),X_26)),and(and(sum,t6),not(X_26))) ),[1],$fot(and(sum,and(t6,not(X_26))))]]) ).
cnf(refute_0_23338,plain,
( not(or(xor(sum,t6),X_26)) != and(and(sum,t6),not(X_26))
| not(or(xor(sum,t6),X_26)) = and(sum,and(t6,not(X_26))) ),
inference(resolve,[$cnf( $equal(and(and(sum,t6),not(X_26)),and(sum,and(t6,not(X_26)))) )],[refute_0_23336,refute_0_23337]) ).
cnf(refute_0_23339,plain,
not(or(xor(sum,t6),X_26)) = and(sum,and(t6,not(X_26))),
inference(resolve,[$cnf( $equal(not(or(xor(sum,t6),X_26)),and(and(sum,t6),not(X_26))) )],[refute_0_23335,refute_0_23338]) ).
cnf(refute_0_23340,plain,
( not(or(xor(sum,t6),X_26)) != and(sum,and(t6,not(X_26)))
| and(sum,and(t6,not(X_26))) = not(or(xor(sum,t6),X_26)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(xor(sum,t6),X_26)))),bind(Y0,$fot(and(sum,and(t6,not(X_26)))))]]) ).
cnf(refute_0_23341,plain,
and(sum,and(t6,not(X_26))) = not(or(xor(sum,t6),X_26)),
inference(resolve,[$cnf( $equal(not(or(xor(sum,t6),X_26)),and(sum,and(t6,not(X_26)))) )],[refute_0_23339,refute_0_23340]) ).
cnf(refute_0_23342,plain,
and(sum,and(t6,not(X))) = not(or(xor(sum,t6),X)),
inference(subst,[],[refute_0_23341:[bind(X_26,$fot(X))]]) ).
cnf(refute_0_23343,plain,
and(sum,and(not(X),t6)) = and(sum,and(t6,not(X))),
inference(subst,[],[refute_0_2637:[bind(X_220,$fot(sum)),bind(X_221,$fot(t6)),bind(X_222,$fot(not(X)))]]) ).
cnf(refute_0_23344,plain,
( and(sum,and(not(X),t6)) != and(sum,and(t6,not(X)))
| and(sum,and(t6,not(X))) != not(or(xor(sum,t6),X))
| and(sum,and(not(X),t6)) = not(or(xor(sum,t6),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(sum,and(not(X),t6)))),bind(Y0,$fot(and(sum,and(t6,not(X))))),bind(Z0,$fot(not(or(xor(sum,t6),X))))]]) ).
cnf(refute_0_23345,plain,
( and(sum,and(t6,not(X))) != not(or(xor(sum,t6),X))
| and(sum,and(not(X),t6)) = not(or(xor(sum,t6),X)) ),
inference(resolve,[$cnf( $equal(and(sum,and(not(X),t6)),and(sum,and(t6,not(X)))) )],[refute_0_23343,refute_0_23344]) ).
cnf(refute_0_23346,plain,
and(sum,and(not(X),t6)) = not(or(xor(sum,t6),X)),
inference(resolve,[$cnf( $equal(and(sum,and(t6,not(X))),not(or(xor(sum,t6),X))) )],[refute_0_23342,refute_0_23345]) ).
cnf(refute_0_23347,plain,
and(not(X),and(sum,t6)) = and(sum,and(not(X),t6)),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(X))),bind(X_221,$fot(sum)),bind(X_222,$fot(t6))]]) ).
cnf(refute_0_23348,plain,
( and(not(X),and(sum,t6)) != and(sum,and(not(X),t6))
| and(sum,and(not(X),t6)) != not(or(xor(sum,t6),X))
| and(not(X),and(sum,t6)) = not(or(xor(sum,t6),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(X),and(sum,t6)))),bind(Y0,$fot(and(sum,and(not(X),t6)))),bind(Z0,$fot(not(or(xor(sum,t6),X))))]]) ).
cnf(refute_0_23349,plain,
( and(sum,and(not(X),t6)) != not(or(xor(sum,t6),X))
| and(not(X),and(sum,t6)) = not(or(xor(sum,t6),X)) ),
inference(resolve,[$cnf( $equal(and(not(X),and(sum,t6)),and(sum,and(not(X),t6))) )],[refute_0_23347,refute_0_23348]) ).
cnf(refute_0_23350,plain,
and(not(X),and(sum,t6)) = not(or(xor(sum,t6),X)),
inference(resolve,[$cnf( $equal(and(sum,and(not(X),t6)),not(or(xor(sum,t6),X))) )],[refute_0_23346,refute_0_23349]) ).
cnf(refute_0_23351,plain,
( and(not(X),and(sum,t6)) != not(or(xor(sum,t6),X))
| not(or(X,xor(sum,t6))) != and(not(X),and(sum,t6))
| not(or(X,xor(sum,t6))) = not(or(xor(sum,t6),X)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(sum,t6))),and(not(X),and(sum,t6))) ),[1],$fot(not(or(xor(sum,t6),X)))]]) ).
cnf(refute_0_23352,plain,
( not(or(X,xor(sum,t6))) != and(not(X),and(sum,t6))
| not(or(X,xor(sum,t6))) = not(or(xor(sum,t6),X)) ),
inference(resolve,[$cnf( $equal(and(not(X),and(sum,t6)),not(or(xor(sum,t6),X))) )],[refute_0_23350,refute_0_23351]) ).
cnf(refute_0_23353,plain,
not(or(X,xor(sum,t6))) = not(or(xor(sum,t6),X)),
inference(resolve,[$cnf( $equal(not(or(X,xor(sum,t6))),and(not(X),and(sum,t6))) )],[refute_0_23331,refute_0_23352]) ).
cnf(refute_0_23354,plain,
or(X,xor(sum,t6)) = or(X,xor(sum,t6)),
introduced(tautology,[refl,[$fot(or(X,xor(sum,t6)))]]) ).
cnf(refute_0_23355,plain,
( or(X,xor(sum,t6)) != or(X,xor(sum,t6))
| xor(sum,t6) != t7
| or(X,xor(sum,t6)) = or(X,t7) ),
introduced(tautology,[equality,[$cnf( $equal(or(X,xor(sum,t6)),or(X,xor(sum,t6))) ),[1,1],$fot(t7)]]) ).
cnf(refute_0_23356,plain,
( xor(sum,t6) != t7
| or(X,xor(sum,t6)) = or(X,t7) ),
inference(resolve,[$cnf( $equal(or(X,xor(sum,t6)),or(X,xor(sum,t6))) )],[refute_0_23354,refute_0_23355]) ).
cnf(refute_0_23357,plain,
or(X,xor(sum,t6)) = or(X,t7),
inference(resolve,[$cnf( $equal(xor(sum,t6),t7) )],[refute_0_5407,refute_0_23356]) ).
cnf(refute_0_23358,plain,
not(or(X,xor(sum,t6))) = not(or(X,xor(sum,t6))),
introduced(tautology,[refl,[$fot(not(or(X,xor(sum,t6))))]]) ).
cnf(refute_0_23359,plain,
( not(or(X,xor(sum,t6))) != not(or(X,xor(sum,t6)))
| or(X,xor(sum,t6)) != or(X,t7)
| not(or(X,xor(sum,t6))) = not(or(X,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(sum,t6))),not(or(X,xor(sum,t6)))) ),[1,0],$fot(or(X,t7))]]) ).
cnf(refute_0_23360,plain,
( or(X,xor(sum,t6)) != or(X,t7)
| not(or(X,xor(sum,t6))) = not(or(X,t7)) ),
inference(resolve,[$cnf( $equal(not(or(X,xor(sum,t6))),not(or(X,xor(sum,t6)))) )],[refute_0_23358,refute_0_23359]) ).
cnf(refute_0_23361,plain,
not(or(X,xor(sum,t6))) = not(or(X,t7)),
inference(resolve,[$cnf( $equal(or(X,xor(sum,t6)),or(X,t7)) )],[refute_0_23357,refute_0_23360]) ).
cnf(refute_0_23362,plain,
( not(or(X,xor(sum,t6))) != not(or(X,t7))
| not(or(X,xor(sum,t6))) != not(or(xor(sum,t6),X))
| not(or(X,t7)) = not(or(xor(sum,t6),X)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(sum,t6))),not(or(xor(sum,t6),X))) ),[0],$fot(not(or(X,t7)))]]) ).
cnf(refute_0_23363,plain,
( not(or(X,xor(sum,t6))) != not(or(xor(sum,t6),X))
| not(or(X,t7)) = not(or(xor(sum,t6),X)) ),
inference(resolve,[$cnf( $equal(not(or(X,xor(sum,t6))),not(or(X,t7))) )],[refute_0_23361,refute_0_23362]) ).
cnf(refute_0_23364,plain,
or(xor(sum,t6),X) = or(xor(sum,t6),X),
introduced(tautology,[refl,[$fot(or(xor(sum,t6),X))]]) ).
cnf(refute_0_23365,plain,
( or(xor(sum,t6),X) != or(xor(sum,t6),X)
| xor(sum,t6) != t7
| or(xor(sum,t6),X) = or(t7,X) ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(sum,t6),X),or(xor(sum,t6),X)) ),[1,0],$fot(t7)]]) ).
cnf(refute_0_23366,plain,
( xor(sum,t6) != t7
| or(xor(sum,t6),X) = or(t7,X) ),
inference(resolve,[$cnf( $equal(or(xor(sum,t6),X),or(xor(sum,t6),X)) )],[refute_0_23364,refute_0_23365]) ).
cnf(refute_0_23367,plain,
or(xor(sum,t6),X) = or(t7,X),
inference(resolve,[$cnf( $equal(xor(sum,t6),t7) )],[refute_0_5407,refute_0_23366]) ).
cnf(refute_0_23368,plain,
not(or(xor(sum,t6),X)) = not(or(xor(sum,t6),X)),
introduced(tautology,[refl,[$fot(not(or(xor(sum,t6),X)))]]) ).
cnf(refute_0_23369,plain,
( not(or(xor(sum,t6),X)) != not(or(xor(sum,t6),X))
| or(xor(sum,t6),X) != or(t7,X)
| not(or(xor(sum,t6),X)) = not(or(t7,X)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(sum,t6),X)),not(or(xor(sum,t6),X))) ),[1,0],$fot(or(t7,X))]]) ).
cnf(refute_0_23370,plain,
( or(xor(sum,t6),X) != or(t7,X)
| not(or(xor(sum,t6),X)) = not(or(t7,X)) ),
inference(resolve,[$cnf( $equal(not(or(xor(sum,t6),X)),not(or(xor(sum,t6),X))) )],[refute_0_23368,refute_0_23369]) ).
cnf(refute_0_23371,plain,
not(or(xor(sum,t6),X)) = not(or(t7,X)),
inference(resolve,[$cnf( $equal(or(xor(sum,t6),X),or(t7,X)) )],[refute_0_23367,refute_0_23370]) ).
cnf(refute_0_23372,plain,
( not(or(X,t7)) != not(or(xor(sum,t6),X))
| not(or(xor(sum,t6),X)) != not(or(t7,X))
| not(or(X,t7)) = not(or(t7,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(or(X,t7)),not(or(t7,X))) ),[0],$fot(not(or(xor(sum,t6),X)))]]) ).
cnf(refute_0_23373,plain,
( not(or(X,t7)) != not(or(xor(sum,t6),X))
| not(or(X,t7)) = not(or(t7,X)) ),
inference(resolve,[$cnf( $equal(not(or(xor(sum,t6),X)),not(or(t7,X))) )],[refute_0_23371,refute_0_23372]) ).
cnf(refute_0_23374,plain,
( not(or(X,xor(sum,t6))) != not(or(xor(sum,t6),X))
| not(or(X,t7)) = not(or(t7,X)) ),
inference(resolve,[$cnf( $equal(not(or(X,t7)),not(or(xor(sum,t6),X))) )],[refute_0_23363,refute_0_23373]) ).
cnf(refute_0_23375,plain,
not(or(X,t7)) = not(or(t7,X)),
inference(resolve,[$cnf( $equal(not(or(X,xor(sum,t6))),not(or(xor(sum,t6),X))) )],[refute_0_23353,refute_0_23374]) ).
cnf(refute_0_23376,plain,
not(or(not(xor(t5,or(b,t6))),t7)) = not(or(t7,not(xor(t5,or(b,t6))))),
inference(subst,[],[refute_0_23375:[bind(X,$fot(not(xor(t5,or(b,t6)))))]]) ).
cnf(refute_0_23377,plain,
( not(or(not(xor(t5,or(b,t6))),t7)) != not(or(t7,not(xor(t5,or(b,t6)))))
| not(or(t7,not(xor(t5,or(b,t6))))) != and(not(t7),xor(t5,or(b,t6)))
| not(or(not(xor(t5,or(b,t6))),t7)) = and(not(t7),xor(t5,or(b,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(not(xor(t5,or(b,t6))),t7)))),bind(Y0,$fot(not(or(t7,not(xor(t5,or(b,t6))))))),bind(Z0,$fot(and(not(t7),xor(t5,or(b,t6)))))]]) ).
cnf(refute_0_23378,plain,
( not(or(t7,not(xor(t5,or(b,t6))))) != and(not(t7),xor(t5,or(b,t6)))
| not(or(not(xor(t5,or(b,t6))),t7)) = and(not(t7),xor(t5,or(b,t6))) ),
inference(resolve,[$cnf( $equal(not(or(not(xor(t5,or(b,t6))),t7)),not(or(t7,not(xor(t5,or(b,t6)))))) )],[refute_0_23376,refute_0_23377]) ).
cnf(refute_0_23379,plain,
not(or(not(xor(t5,or(b,t6))),t7)) = and(not(t7),xor(t5,or(b,t6))),
inference(resolve,[$cnf( $equal(not(or(t7,not(xor(t5,or(b,t6))))),and(not(t7),xor(t5,or(b,t6)))) )],[refute_0_23327,refute_0_23378]) ).
cnf(refute_0_23380,plain,
xor(ll1,or(not(xor(t5,or(b,t6))),t7)) = not(or(not(xor(t5,or(b,t6))),t7)),
inference(subst,[],[refute_0_3546:[bind(X_64,$fot(or(not(xor(t5,or(b,t6))),t7)))]]) ).
cnf(refute_0_23381,plain,
( not(or(not(xor(t5,or(b,t6))),t7)) != and(not(t7),xor(t5,or(b,t6)))
| xor(ll1,or(not(xor(t5,or(b,t6))),t7)) != not(or(not(xor(t5,or(b,t6))),t7))
| xor(ll1,or(not(xor(t5,or(b,t6))),t7)) = and(not(t7),xor(t5,or(b,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(ll1,or(not(xor(t5,or(b,t6))),t7)))),bind(Y0,$fot(not(or(not(xor(t5,or(b,t6))),t7)))),bind(Z0,$fot(and(not(t7),xor(t5,or(b,t6)))))]]) ).
cnf(refute_0_23382,plain,
( not(or(not(xor(t5,or(b,t6))),t7)) != and(not(t7),xor(t5,or(b,t6)))
| xor(ll1,or(not(xor(t5,or(b,t6))),t7)) = and(not(t7),xor(t5,or(b,t6))) ),
inference(resolve,[$cnf( $equal(xor(ll1,or(not(xor(t5,or(b,t6))),t7)),not(or(not(xor(t5,or(b,t6))),t7))) )],[refute_0_23380,refute_0_23381]) ).
cnf(refute_0_23383,plain,
xor(ll1,or(not(xor(t5,or(b,t6))),t7)) = and(not(t7),xor(t5,or(b,t6))),
inference(resolve,[$cnf( $equal(not(or(not(xor(t5,or(b,t6))),t7)),and(not(t7),xor(t5,or(b,t6)))) )],[refute_0_23379,refute_0_23382]) ).
cnf(refute_0_23384,plain,
( ll0 != xor(ll1,or(not(xor(t5,or(b,t6))),t7))
| xor(ll1,or(not(xor(t5,or(b,t6))),t7)) != and(not(t7),xor(t5,or(b,t6)))
| ll0 = and(not(t7),xor(t5,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll0,and(not(t7),xor(t5,or(b,t6)))) ),[0],$fot(xor(ll1,or(not(xor(t5,or(b,t6))),t7)))]]) ).
cnf(refute_0_23385,plain,
( ll0 != xor(ll1,or(not(xor(t5,or(b,t6))),t7))
| ll0 = and(not(t7),xor(t5,or(b,t6))) ),
inference(resolve,[$cnf( $equal(xor(ll1,or(not(xor(t5,or(b,t6))),t7)),and(not(t7),xor(t5,or(b,t6)))) )],[refute_0_23383,refute_0_23384]) ).
cnf(refute_0_23386,plain,
ll0 = and(not(t7),xor(t5,or(b,t6))),
inference(resolve,[$cnf( $equal(ll0,xor(ll1,or(not(xor(t5,or(b,t6))),t7))) )],[refute_0_23326,refute_0_23385]) ).
cnf(refute_0_23387,plain,
( ll0 != and(not(t7),xor(t5,or(b,t6)))
| and(not(t7),xor(t5,or(b,t6))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(not(t7),xor(t5,or(b,t6)))))]]) ).
cnf(refute_0_23388,plain,
and(not(t7),xor(t5,or(b,t6))) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(not(t7),xor(t5,or(b,t6)))) )],[refute_0_23386,refute_0_23387]) ).
cnf(refute_0_23389,plain,
( and(not(t7),xor(t5,or(b,t6))) != ll0
| or(and(t7,not(xor(t5,or(b,t6)))),and(not(t7),xor(t5,or(b,t6)))) != xor(t7,xor(t5,or(b,t6)))
| or(and(t7,not(xor(t5,or(b,t6)))),ll0) = xor(t7,xor(t5,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t7,not(xor(t5,or(b,t6)))),and(not(t7),xor(t5,or(b,t6)))),xor(t7,xor(t5,or(b,t6)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_23390,plain,
( or(and(t7,not(xor(t5,or(b,t6)))),and(not(t7),xor(t5,or(b,t6)))) != xor(t7,xor(t5,or(b,t6)))
| or(and(t7,not(xor(t5,or(b,t6)))),ll0) = xor(t7,xor(t5,or(b,t6))) ),
inference(resolve,[$cnf( $equal(and(not(t7),xor(t5,or(b,t6))),ll0) )],[refute_0_23388,refute_0_23389]) ).
cnf(refute_0_23391,plain,
or(and(t7,not(xor(t5,or(b,t6)))),ll0) = xor(t7,xor(t5,or(b,t6))),
inference(resolve,[$cnf( $equal(or(and(t7,not(xor(t5,or(b,t6)))),and(not(t7),xor(t5,or(b,t6)))),xor(t7,xor(t5,or(b,t6)))) )],[refute_0_23316,refute_0_23390]) ).
cnf(refute_0_23392,plain,
or(and(t7,not(xor(t5,or(b,t6)))),ll0) = and(t7,not(xor(t5,or(b,t6)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t7,not(xor(t5,or(b,t6))))))]]) ).
cnf(refute_0_23393,plain,
( or(and(t7,not(xor(t5,or(b,t6)))),ll0) != and(t7,not(xor(t5,or(b,t6))))
| or(and(t7,not(xor(t5,or(b,t6)))),ll0) != xor(t7,xor(t5,or(b,t6)))
| and(t7,not(xor(t5,or(b,t6)))) = xor(t7,xor(t5,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t7,not(xor(t5,or(b,t6)))),ll0),xor(t7,xor(t5,or(b,t6)))) ),[0],$fot(and(t7,not(xor(t5,or(b,t6)))))]]) ).
cnf(refute_0_23394,plain,
( or(and(t7,not(xor(t5,or(b,t6)))),ll0) != xor(t7,xor(t5,or(b,t6)))
| and(t7,not(xor(t5,or(b,t6)))) = xor(t7,xor(t5,or(b,t6))) ),
inference(resolve,[$cnf( $equal(or(and(t7,not(xor(t5,or(b,t6)))),ll0),and(t7,not(xor(t5,or(b,t6))))) )],[refute_0_23392,refute_0_23393]) ).
cnf(refute_0_23395,plain,
xor(t5,xor(t7,or(b,t6))) = xor(cin,or(b,t6)),
inference(subst,[],[refute_0_8910:[bind(Z,$fot(or(b,t6)))]]) ).
cnf(refute_0_23396,plain,
xor(t7,xor(t5,or(b,t6))) = xor(t5,xor(t7,or(b,t6))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(t5)),bind(X_334,$fot(t7)),bind(X_335,$fot(or(b,t6)))]]) ).
cnf(refute_0_23397,plain,
( xor(t5,xor(t7,or(b,t6))) != xor(cin,or(b,t6))
| xor(t7,xor(t5,or(b,t6))) != xor(t5,xor(t7,or(b,t6)))
| xor(t7,xor(t5,or(b,t6))) = xor(cin,or(b,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t7,xor(t5,or(b,t6))))),bind(Y0,$fot(xor(t5,xor(t7,or(b,t6))))),bind(Z0,$fot(xor(cin,or(b,t6))))]]) ).
cnf(refute_0_23398,plain,
( xor(t5,xor(t7,or(b,t6))) != xor(cin,or(b,t6))
| xor(t7,xor(t5,or(b,t6))) = xor(cin,or(b,t6)) ),
inference(resolve,[$cnf( $equal(xor(t7,xor(t5,or(b,t6))),xor(t5,xor(t7,or(b,t6)))) )],[refute_0_23396,refute_0_23397]) ).
cnf(refute_0_23399,plain,
xor(t7,xor(t5,or(b,t6))) = xor(cin,or(b,t6)),
inference(resolve,[$cnf( $equal(xor(t5,xor(t7,or(b,t6))),xor(cin,or(b,t6))) )],[refute_0_23395,refute_0_23398]) ).
cnf(refute_0_23400,plain,
( and(t7,not(xor(t5,or(b,t6)))) != xor(t7,xor(t5,or(b,t6)))
| xor(t7,xor(t5,or(b,t6))) != xor(cin,or(b,t6))
| and(t7,not(xor(t5,or(b,t6)))) = xor(cin,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t7,not(xor(t5,or(b,t6)))),xor(cin,or(b,t6))) ),[0],$fot(xor(t7,xor(t5,or(b,t6))))]]) ).
cnf(refute_0_23401,plain,
( and(t7,not(xor(t5,or(b,t6)))) != xor(t7,xor(t5,or(b,t6)))
| and(t7,not(xor(t5,or(b,t6)))) = xor(cin,or(b,t6)) ),
inference(resolve,[$cnf( $equal(xor(t7,xor(t5,or(b,t6))),xor(cin,or(b,t6))) )],[refute_0_23399,refute_0_23400]) ).
cnf(refute_0_23402,plain,
( or(and(t7,not(xor(t5,or(b,t6)))),ll0) != xor(t7,xor(t5,or(b,t6)))
| and(t7,not(xor(t5,or(b,t6)))) = xor(cin,or(b,t6)) ),
inference(resolve,[$cnf( $equal(and(t7,not(xor(t5,or(b,t6)))),xor(t7,xor(t5,or(b,t6)))) )],[refute_0_23394,refute_0_23401]) ).
cnf(refute_0_23403,plain,
and(t7,not(xor(t5,or(b,t6)))) = xor(cin,or(b,t6)),
inference(resolve,[$cnf( $equal(or(and(t7,not(xor(t5,or(b,t6)))),ll0),xor(t7,xor(t5,or(b,t6)))) )],[refute_0_23391,refute_0_23402]) ).
cnf(refute_0_23404,plain,
and(t2,and(t5,t7)) = and(t2,and(t5,t7)),
introduced(tautology,[refl,[$fot(and(t2,and(t5,t7)))]]) ).
cnf(refute_0_23405,plain,
( and(t2,and(t5,t7)) != and(t2,and(t5,t7))
| and(t5,t7) != not(cin)
| and(t2,and(t5,t7)) = and(t2,not(cin)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,and(t5,t7)),and(t2,and(t5,t7))) ),[1,1],$fot(not(cin))]]) ).
cnf(refute_0_23406,plain,
( and(t5,t7) != not(cin)
| and(t2,and(t5,t7)) = and(t2,not(cin)) ),
inference(resolve,[$cnf( $equal(and(t2,and(t5,t7)),and(t2,and(t5,t7))) )],[refute_0_23404,refute_0_23405]) ).
cnf(refute_0_23407,plain,
and(t2,and(t5,t7)) = and(t2,not(cin)),
inference(resolve,[$cnf( $equal(and(t5,t7),not(cin)) )],[refute_0_4015,refute_0_23406]) ).
cnf(refute_0_23408,plain,
and(t2,and(t7,t5)) = and(t2,and(t5,t7)),
inference(subst,[],[refute_0_2637:[bind(X_220,$fot(t2)),bind(X_221,$fot(t5)),bind(X_222,$fot(t7))]]) ).
cnf(refute_0_23409,plain,
( and(t2,and(t5,t7)) != and(t2,not(cin))
| and(t2,and(t7,t5)) != and(t2,and(t5,t7))
| and(t2,and(t7,t5)) = and(t2,not(cin)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t2,and(t7,t5)))),bind(Y0,$fot(and(t2,and(t5,t7)))),bind(Z0,$fot(and(t2,not(cin))))]]) ).
cnf(refute_0_23410,plain,
( and(t2,and(t5,t7)) != and(t2,not(cin))
| and(t2,and(t7,t5)) = and(t2,not(cin)) ),
inference(resolve,[$cnf( $equal(and(t2,and(t7,t5)),and(t2,and(t5,t7))) )],[refute_0_23408,refute_0_23409]) ).
cnf(refute_0_23411,plain,
and(t2,and(t7,t5)) = and(t2,not(cin)),
inference(resolve,[$cnf( $equal(and(t2,and(t5,t7)),and(t2,not(cin))) )],[refute_0_23407,refute_0_23410]) ).
cnf(refute_0_23412,plain,
and(t7,and(t2,t5)) = and(t2,and(t7,t5)),
inference(subst,[],[refute_0_4220:[bind(X,$fot(t2)),bind(Z,$fot(t5)),bind(X_669,$fot(t7))]]) ).
cnf(refute_0_23413,plain,
( and(t2,and(t7,t5)) != and(t2,not(cin))
| and(t7,and(t2,t5)) != and(t2,and(t7,t5))
| and(t7,and(t2,t5)) = and(t2,not(cin)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t7,and(t2,t5)))),bind(Y0,$fot(and(t2,and(t7,t5)))),bind(Z0,$fot(and(t2,not(cin))))]]) ).
cnf(refute_0_23414,plain,
( and(t2,and(t7,t5)) != and(t2,not(cin))
| and(t7,and(t2,t5)) = and(t2,not(cin)) ),
inference(resolve,[$cnf( $equal(and(t7,and(t2,t5)),and(t2,and(t7,t5))) )],[refute_0_23412,refute_0_23413]) ).
cnf(refute_0_23415,plain,
and(t7,and(t2,t5)) = and(t2,not(cin)),
inference(resolve,[$cnf( $equal(and(t2,and(t7,t5)),and(t2,not(cin))) )],[refute_0_23411,refute_0_23414]) ).
cnf(refute_0_23416,plain,
or(and(t2,not(xor(t3,or(a,t6)))),and(not(t2),xor(t3,or(a,t6)))) = xor(t2,xor(t3,or(a,t6))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t2)),bind(Y,$fot(xor(t3,or(a,t6))))]]) ).
cnf(refute_0_23417,plain,
and(or(t2,not(xor(t3,or(a,t6)))),not(or(not(xor(t3,or(a,t6))),t2))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(not(xor(t3,or(a,t6))))),bind(X_28,$fot(t2))]]) ).
cnf(refute_0_23418,plain,
or(or(t2,t3),Z) = or(t2,or(t3,Z)),
inference(subst,[],[or_associative:[bind(X,$fot(t2)),bind(Y,$fot(t3))]]) ).
cnf(refute_0_23419,plain,
( or(or(t2,t3),Z) != or(t2,or(t3,Z))
| or(t2,t3) != ll1
| or(ll1,Z) = or(t2,or(t3,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t2,t3),Z),or(t2,or(t3,Z))) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_23420,plain,
( or(or(t2,t3),Z) != or(t2,or(t3,Z))
| or(ll1,Z) = or(t2,or(t3,Z)) ),
inference(resolve,[$cnf( $equal(or(t2,t3),ll1) )],[refute_0_20998,refute_0_23419]) ).
cnf(refute_0_23421,plain,
or(ll1,Z) = or(t2,or(t3,Z)),
inference(resolve,[$cnf( $equal(or(or(t2,t3),Z),or(t2,or(t3,Z))) )],[refute_0_23418,refute_0_23420]) ).
cnf(refute_0_23422,plain,
( or(ll1,Z) != ll1
| or(ll1,Z) != or(t2,or(t3,Z))
| ll1 = or(t2,or(t3,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll1,Z),or(t2,or(t3,Z))) ),[0],$fot(ll1)]]) ).
cnf(refute_0_23423,plain,
( or(ll1,Z) != or(t2,or(t3,Z))
| ll1 = or(t2,or(t3,Z)) ),
inference(resolve,[$cnf( $equal(or(ll1,Z),ll1) )],[refute_0_6102,refute_0_23422]) ).
cnf(refute_0_23424,plain,
ll1 = or(t2,or(t3,Z)),
inference(resolve,[$cnf( $equal(or(ll1,Z),or(t2,or(t3,Z))) )],[refute_0_23421,refute_0_23423]) ).
cnf(refute_0_23425,plain,
ll1 = or(t2,or(t3,not(or(a,t6)))),
inference(subst,[],[refute_0_23424:[bind(Z,$fot(not(or(a,t6))))]]) ).
cnf(refute_0_23426,plain,
not(and(or(a,t6),not(t3))) = not(and(not(t3),or(a,t6))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(not(t3))),bind(X_32,$fot(or(a,t6)))]]) ).
cnf(refute_0_23427,plain,
( and(not(t3),or(a,t6)) != xor(t3,or(a,t6))
| not(and(or(a,t6),not(t3))) != not(and(not(t3),or(a,t6)))
| not(and(or(a,t6),not(t3))) = not(xor(t3,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(a,t6),not(t3))),not(and(not(t3),or(a,t6)))) ),[1,0],$fot(xor(t3,or(a,t6)))]]) ).
cnf(refute_0_23428,plain,
( not(and(or(a,t6),not(t3))) != not(and(not(t3),or(a,t6)))
| not(and(or(a,t6),not(t3))) = not(xor(t3,or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(not(t3),or(a,t6)),xor(t3,or(a,t6))) )],[refute_0_21041,refute_0_23427]) ).
cnf(refute_0_23429,plain,
not(and(or(a,t6),not(t3))) = not(xor(t3,or(a,t6))),
inference(resolve,[$cnf( $equal(not(and(or(a,t6),not(t3))),not(and(not(t3),or(a,t6)))) )],[refute_0_23426,refute_0_23428]) ).
cnf(refute_0_23430,plain,
not(and(not(t3),or(a,t6))) = or(t3,not(or(a,t6))),
inference(subst,[],[refute_0_787:[bind(X,$fot(t3)),bind(X_32,$fot(or(a,t6)))]]) ).
cnf(refute_0_23431,plain,
( not(and(not(t3),or(a,t6))) != or(t3,not(or(a,t6)))
| not(and(or(a,t6),not(t3))) != not(and(not(t3),or(a,t6)))
| not(and(or(a,t6),not(t3))) = or(t3,not(or(a,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(or(a,t6),not(t3))))),bind(Y0,$fot(not(and(not(t3),or(a,t6))))),bind(Z0,$fot(or(t3,not(or(a,t6)))))]]) ).
cnf(refute_0_23432,plain,
( not(and(not(t3),or(a,t6))) != or(t3,not(or(a,t6)))
| not(and(or(a,t6),not(t3))) = or(t3,not(or(a,t6))) ),
inference(resolve,[$cnf( $equal(not(and(or(a,t6),not(t3))),not(and(not(t3),or(a,t6)))) )],[refute_0_23426,refute_0_23431]) ).
cnf(refute_0_23433,plain,
not(and(or(a,t6),not(t3))) = or(t3,not(or(a,t6))),
inference(resolve,[$cnf( $equal(not(and(not(t3),or(a,t6))),or(t3,not(or(a,t6)))) )],[refute_0_23430,refute_0_23432]) ).
cnf(refute_0_23434,plain,
( not(and(or(a,t6),not(t3))) != not(xor(t3,or(a,t6)))
| not(and(or(a,t6),not(t3))) != or(t3,not(or(a,t6)))
| or(t3,not(or(a,t6))) = not(xor(t3,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(a,t6),not(t3))),not(xor(t3,or(a,t6)))) ),[0],$fot(or(t3,not(or(a,t6))))]]) ).
cnf(refute_0_23435,plain,
( not(and(or(a,t6),not(t3))) != not(xor(t3,or(a,t6)))
| or(t3,not(or(a,t6))) = not(xor(t3,or(a,t6))) ),
inference(resolve,[$cnf( $equal(not(and(or(a,t6),not(t3))),or(t3,not(or(a,t6)))) )],[refute_0_23433,refute_0_23434]) ).
cnf(refute_0_23436,plain,
or(t3,not(or(a,t6))) = not(xor(t3,or(a,t6))),
inference(resolve,[$cnf( $equal(not(and(or(a,t6),not(t3))),not(xor(t3,or(a,t6)))) )],[refute_0_23429,refute_0_23435]) ).
cnf(refute_0_23437,plain,
( ll1 != or(t2,or(t3,not(or(a,t6))))
| or(t3,not(or(a,t6))) != not(xor(t3,or(a,t6)))
| ll1 = or(t2,not(xor(t3,or(a,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t2,or(t3,not(or(a,t6))))) ),[1,1],$fot(not(xor(t3,or(a,t6))))]]) ).
cnf(refute_0_23438,plain,
( ll1 != or(t2,or(t3,not(or(a,t6))))
| ll1 = or(t2,not(xor(t3,or(a,t6)))) ),
inference(resolve,[$cnf( $equal(or(t3,not(or(a,t6))),not(xor(t3,or(a,t6)))) )],[refute_0_23436,refute_0_23437]) ).
cnf(refute_0_23439,plain,
ll1 = or(t2,not(xor(t3,or(a,t6)))),
inference(resolve,[$cnf( $equal(ll1,or(t2,or(t3,not(or(a,t6))))) )],[refute_0_23425,refute_0_23438]) ).
cnf(refute_0_23440,plain,
( ll1 != or(t2,not(xor(t3,or(a,t6))))
| or(t2,not(xor(t3,or(a,t6)))) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(t2,not(xor(t3,or(a,t6))))))]]) ).
cnf(refute_0_23441,plain,
or(t2,not(xor(t3,or(a,t6)))) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(t2,not(xor(t3,or(a,t6))))) )],[refute_0_23439,refute_0_23440]) ).
cnf(refute_0_23442,plain,
( and(or(t2,not(xor(t3,or(a,t6)))),not(or(not(xor(t3,or(a,t6))),t2))) != ll0
| or(t2,not(xor(t3,or(a,t6)))) != ll1
| and(ll1,not(or(not(xor(t3,or(a,t6))),t2))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(t2,not(xor(t3,or(a,t6)))),not(or(not(xor(t3,or(a,t6))),t2))),ll0) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_23443,plain,
( and(or(t2,not(xor(t3,or(a,t6)))),not(or(not(xor(t3,or(a,t6))),t2))) != ll0
| and(ll1,not(or(not(xor(t3,or(a,t6))),t2))) = ll0 ),
inference(resolve,[$cnf( $equal(or(t2,not(xor(t3,or(a,t6)))),ll1) )],[refute_0_23441,refute_0_23442]) ).
cnf(refute_0_23444,plain,
and(ll1,not(or(not(xor(t3,or(a,t6))),t2))) = ll0,
inference(resolve,[$cnf( $equal(and(or(t2,not(xor(t3,or(a,t6)))),not(or(not(xor(t3,or(a,t6))),t2))),ll0) )],[refute_0_23417,refute_0_23443]) ).
cnf(refute_0_23445,plain,
not(or(t2,not(xor(t3,or(a,t6))))) = and(not(t2),xor(t3,or(a,t6))),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(t3,or(a,t6)))),bind(X_25,$fot(t2))]]) ).
cnf(refute_0_23446,plain,
and(ll1,not(or(t2,not(xor(t3,or(a,t6)))))) = not(or(t2,not(xor(t3,or(a,t6))))),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(or(t2,not(xor(t3,or(a,t6)))))))]]) ).
cnf(refute_0_23447,plain,
( and(ll1,not(or(t2,not(xor(t3,or(a,t6)))))) != not(or(t2,not(xor(t3,or(a,t6)))))
| not(or(t2,not(xor(t3,or(a,t6))))) != and(not(t2),xor(t3,or(a,t6)))
| and(ll1,not(or(t2,not(xor(t3,or(a,t6)))))) = and(not(t2),xor(t3,or(a,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(t2,not(xor(t3,or(a,t6)))))))),bind(Y0,$fot(not(or(t2,not(xor(t3,or(a,t6))))))),bind(Z0,$fot(and(not(t2),xor(t3,or(a,t6)))))]]) ).
cnf(refute_0_23448,plain,
( not(or(t2,not(xor(t3,or(a,t6))))) != and(not(t2),xor(t3,or(a,t6)))
| and(ll1,not(or(t2,not(xor(t3,or(a,t6)))))) = and(not(t2),xor(t3,or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t2,not(xor(t3,or(a,t6)))))),not(or(t2,not(xor(t3,or(a,t6)))))) )],[refute_0_23446,refute_0_23447]) ).
cnf(refute_0_23449,plain,
and(ll1,not(or(t2,not(xor(t3,or(a,t6)))))) = and(not(t2),xor(t3,or(a,t6))),
inference(resolve,[$cnf( $equal(not(or(t2,not(xor(t3,or(a,t6))))),and(not(t2),xor(t3,or(a,t6)))) )],[refute_0_23445,refute_0_23448]) ).
cnf(refute_0_23450,plain,
and(ll1,not(or(not(xor(t3,or(a,t6))),t2))) = and(ll1,not(or(t2,not(xor(t3,or(a,t6)))))),
inference(subst,[],[refute_0_815:[bind(X_25,$fot(t2)),bind(X_26,$fot(not(xor(t3,or(a,t6))))),bind(X_29,$fot(ll1))]]) ).
cnf(refute_0_23451,plain,
( and(ll1,not(or(not(xor(t3,or(a,t6))),t2))) != and(ll1,not(or(t2,not(xor(t3,or(a,t6))))))
| and(ll1,not(or(t2,not(xor(t3,or(a,t6)))))) != and(not(t2),xor(t3,or(a,t6)))
| and(ll1,not(or(not(xor(t3,or(a,t6))),t2))) = and(not(t2),xor(t3,or(a,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(xor(t3,or(a,t6))),t2))))),bind(Y0,$fot(and(ll1,not(or(t2,not(xor(t3,or(a,t6)))))))),bind(Z0,$fot(and(not(t2),xor(t3,or(a,t6)))))]]) ).
cnf(refute_0_23452,plain,
( and(ll1,not(or(t2,not(xor(t3,or(a,t6)))))) != and(not(t2),xor(t3,or(a,t6)))
| and(ll1,not(or(not(xor(t3,or(a,t6))),t2))) = and(not(t2),xor(t3,or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t3,or(a,t6))),t2))),and(ll1,not(or(t2,not(xor(t3,or(a,t6))))))) )],[refute_0_23450,refute_0_23451]) ).
cnf(refute_0_23453,plain,
and(ll1,not(or(not(xor(t3,or(a,t6))),t2))) = and(not(t2),xor(t3,or(a,t6))),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t2,not(xor(t3,or(a,t6)))))),and(not(t2),xor(t3,or(a,t6)))) )],[refute_0_23449,refute_0_23452]) ).
cnf(refute_0_23454,plain,
( and(ll1,not(or(not(xor(t3,or(a,t6))),t2))) != and(not(t2),xor(t3,or(a,t6)))
| and(ll1,not(or(not(xor(t3,or(a,t6))),t2))) != ll0
| and(not(t2),xor(t3,or(a,t6))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(ll1,not(or(not(xor(t3,or(a,t6))),t2))),ll0) ),[0],$fot(and(not(t2),xor(t3,or(a,t6))))]]) ).
cnf(refute_0_23455,plain,
( and(ll1,not(or(not(xor(t3,or(a,t6))),t2))) != ll0
| and(not(t2),xor(t3,or(a,t6))) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t3,or(a,t6))),t2))),and(not(t2),xor(t3,or(a,t6)))) )],[refute_0_23453,refute_0_23454]) ).
cnf(refute_0_23456,plain,
and(not(t2),xor(t3,or(a,t6))) = ll0,
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t3,or(a,t6))),t2))),ll0) )],[refute_0_23444,refute_0_23455]) ).
cnf(refute_0_23457,plain,
( and(not(t2),xor(t3,or(a,t6))) != ll0
| or(and(t2,not(xor(t3,or(a,t6)))),and(not(t2),xor(t3,or(a,t6)))) != xor(t2,xor(t3,or(a,t6)))
| or(and(t2,not(xor(t3,or(a,t6)))),ll0) = xor(t2,xor(t3,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t2,not(xor(t3,or(a,t6)))),and(not(t2),xor(t3,or(a,t6)))),xor(t2,xor(t3,or(a,t6)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_23458,plain,
( or(and(t2,not(xor(t3,or(a,t6)))),and(not(t2),xor(t3,or(a,t6)))) != xor(t2,xor(t3,or(a,t6)))
| or(and(t2,not(xor(t3,or(a,t6)))),ll0) = xor(t2,xor(t3,or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(not(t2),xor(t3,or(a,t6))),ll0) )],[refute_0_23456,refute_0_23457]) ).
cnf(refute_0_23459,plain,
or(and(t2,not(xor(t3,or(a,t6)))),ll0) = xor(t2,xor(t3,or(a,t6))),
inference(resolve,[$cnf( $equal(or(and(t2,not(xor(t3,or(a,t6)))),and(not(t2),xor(t3,or(a,t6)))),xor(t2,xor(t3,or(a,t6)))) )],[refute_0_23416,refute_0_23458]) ).
cnf(refute_0_23460,plain,
or(and(t2,not(xor(t3,or(a,t6)))),ll0) = and(t2,not(xor(t3,or(a,t6)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t2,not(xor(t3,or(a,t6))))))]]) ).
cnf(refute_0_23461,plain,
( or(and(t2,not(xor(t3,or(a,t6)))),ll0) != and(t2,not(xor(t3,or(a,t6))))
| or(and(t2,not(xor(t3,or(a,t6)))),ll0) != xor(t2,xor(t3,or(a,t6)))
| and(t2,not(xor(t3,or(a,t6)))) = xor(t2,xor(t3,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t2,not(xor(t3,or(a,t6)))),ll0),xor(t2,xor(t3,or(a,t6)))) ),[0],$fot(and(t2,not(xor(t3,or(a,t6)))))]]) ).
cnf(refute_0_23462,plain,
( or(and(t2,not(xor(t3,or(a,t6)))),ll0) != xor(t2,xor(t3,or(a,t6)))
| and(t2,not(xor(t3,or(a,t6)))) = xor(t2,xor(t3,or(a,t6))) ),
inference(resolve,[$cnf( $equal(or(and(t2,not(xor(t3,or(a,t6)))),ll0),and(t2,not(xor(t3,or(a,t6))))) )],[refute_0_23460,refute_0_23461]) ).
cnf(refute_0_23463,plain,
xor(t2,xor(t3,or(a,t6))) = xor(t4,or(a,t6)),
inference(subst,[],[refute_0_18841:[bind(Y,$fot(or(a,t6)))]]) ).
cnf(refute_0_23464,plain,
( and(t2,not(xor(t3,or(a,t6)))) != xor(t2,xor(t3,or(a,t6)))
| xor(t2,xor(t3,or(a,t6))) != xor(t4,or(a,t6))
| and(t2,not(xor(t3,or(a,t6)))) = xor(t4,or(a,t6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t2,not(xor(t3,or(a,t6)))),xor(t4,or(a,t6))) ),[0],$fot(xor(t2,xor(t3,or(a,t6))))]]) ).
cnf(refute_0_23465,plain,
( and(t2,not(xor(t3,or(a,t6)))) != xor(t2,xor(t3,or(a,t6)))
| and(t2,not(xor(t3,or(a,t6)))) = xor(t4,or(a,t6)) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t3,or(a,t6))),xor(t4,or(a,t6))) )],[refute_0_23463,refute_0_23464]) ).
cnf(refute_0_23466,plain,
( or(and(t2,not(xor(t3,or(a,t6)))),ll0) != xor(t2,xor(t3,or(a,t6)))
| and(t2,not(xor(t3,or(a,t6)))) = xor(t4,or(a,t6)) ),
inference(resolve,[$cnf( $equal(and(t2,not(xor(t3,or(a,t6)))),xor(t2,xor(t3,or(a,t6)))) )],[refute_0_23462,refute_0_23465]) ).
cnf(refute_0_23467,plain,
and(t2,not(xor(t3,or(a,t6)))) = xor(t4,or(a,t6)),
inference(resolve,[$cnf( $equal(or(and(t2,not(xor(t3,or(a,t6)))),ll0),xor(t2,xor(t3,or(a,t6)))) )],[refute_0_23459,refute_0_23466]) ).
cnf(refute_0_23468,plain,
and(t2,not(xor(t3,or(a,t6)))) = and(t2,not(xor(t3,or(a,t6)))),
introduced(tautology,[refl,[$fot(and(t2,not(xor(t3,or(a,t6)))))]]) ).
cnf(refute_0_23469,plain,
( and(t2,not(xor(t3,or(a,t6)))) != and(t2,not(xor(t3,or(a,t6))))
| not(xor(t3,or(a,t6))) != or(a,t5)
| and(t2,not(xor(t3,or(a,t6)))) = and(t2,or(a,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,not(xor(t3,or(a,t6)))),and(t2,not(xor(t3,or(a,t6))))) ),[1,1],$fot(or(a,t5))]]) ).
cnf(refute_0_23470,plain,
( not(xor(t3,or(a,t6))) != or(a,t5)
| and(t2,not(xor(t3,or(a,t6)))) = and(t2,or(a,t5)) ),
inference(resolve,[$cnf( $equal(and(t2,not(xor(t3,or(a,t6)))),and(t2,not(xor(t3,or(a,t6))))) )],[refute_0_23468,refute_0_23469]) ).
cnf(refute_0_23471,plain,
and(t2,not(xor(t3,or(a,t6)))) = and(t2,or(a,t5)),
inference(resolve,[$cnf( $equal(not(xor(t3,or(a,t6))),or(a,t5)) )],[refute_0_22080,refute_0_23470]) ).
cnf(refute_0_23472,plain,
( and(t2,not(xor(t3,or(a,t6)))) != and(t2,or(a,t5))
| and(t2,not(xor(t3,or(a,t6)))) != xor(t4,or(a,t6))
| and(t2,or(a,t5)) = xor(t4,or(a,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,not(xor(t3,or(a,t6)))),xor(t4,or(a,t6))) ),[0],$fot(and(t2,or(a,t5)))]]) ).
cnf(refute_0_23473,plain,
( and(t2,not(xor(t3,or(a,t6)))) != xor(t4,or(a,t6))
| and(t2,or(a,t5)) = xor(t4,or(a,t6)) ),
inference(resolve,[$cnf( $equal(and(t2,not(xor(t3,or(a,t6)))),and(t2,or(a,t5))) )],[refute_0_23471,refute_0_23472]) ).
cnf(refute_0_23474,plain,
and(t2,or(a,t5)) = xor(t4,or(a,t6)),
inference(resolve,[$cnf( $equal(and(t2,not(xor(t3,or(a,t6)))),xor(t4,or(a,t6))) )],[refute_0_23467,refute_0_23473]) ).
cnf(refute_0_23475,plain,
( and(t2,or(a,t5)) != xor(t4,or(a,t6))
| xor(t4,or(a,t6)) = and(t2,or(a,t5)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t2,or(a,t5)))),bind(Y0,$fot(xor(t4,or(a,t6))))]]) ).
cnf(refute_0_23476,plain,
xor(t4,or(a,t6)) = and(t2,or(a,t5)),
inference(resolve,[$cnf( $equal(and(t2,or(a,t5)),xor(t4,or(a,t6))) )],[refute_0_23474,refute_0_23475]) ).
cnf(refute_0_23477,plain,
( not(and(t4,or(a,t6))) != xor(t4,or(a,t6))
| xor(t4,or(a,t6)) != and(t2,or(a,t5))
| not(and(t4,or(a,t6))) = and(t2,or(a,t5)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(t4,or(a,t6))),and(t2,or(a,t5))) ),[0],$fot(xor(t4,or(a,t6)))]]) ).
cnf(refute_0_23478,plain,
( not(and(t4,or(a,t6))) != xor(t4,or(a,t6))
| not(and(t4,or(a,t6))) = and(t2,or(a,t5)) ),
inference(resolve,[$cnf( $equal(xor(t4,or(a,t6)),and(t2,or(a,t5))) )],[refute_0_23476,refute_0_23477]) ).
cnf(refute_0_23479,plain,
not(and(t4,or(a,t6))) = and(t2,or(a,t5)),
inference(resolve,[$cnf( $equal(not(and(t4,or(a,t6))),xor(t4,or(a,t6))) )],[refute_0_14057,refute_0_23478]) ).
cnf(refute_0_23480,plain,
and(not(xor(t5,or(carry,t2))),or(t5,not(xor(t5,or(carry,t2))))) = not(xor(t5,or(carry,t2))),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(not(xor(t5,or(carry,t2))))),bind(X_20,$fot(t5))]]) ).
cnf(refute_0_23481,plain,
not(and(xor(t5,or(carry,t2)),not(t5))) = not(and(not(t5),xor(t5,or(carry,t2)))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(not(t5))),bind(X_32,$fot(xor(t5,or(carry,t2))))]]) ).
cnf(refute_0_23482,plain,
and(not(t5),xor(t5,or(carry,t2))) = and(carry,and(t1,xor(t5,or(carry,t2)))),
inference(subst,[],[refute_0_11700:[bind(Z,$fot(xor(t5,or(carry,t2))))]]) ).
cnf(refute_0_23483,plain,
( and(not(t5),xor(t5,or(carry,t2))) != and(carry,and(t1,xor(t5,or(carry,t2))))
| and(t1,xor(t5,or(carry,t2))) != xor(t5,or(carry,t2))
| and(not(t5),xor(t5,or(carry,t2))) = and(carry,xor(t5,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),xor(t5,or(carry,t2))),and(carry,and(t1,xor(t5,or(carry,t2))))) ),[1,1],$fot(xor(t5,or(carry,t2)))]]) ).
cnf(refute_0_23484,plain,
( and(not(t5),xor(t5,or(carry,t2))) != and(carry,and(t1,xor(t5,or(carry,t2))))
| and(not(t5),xor(t5,or(carry,t2))) = and(carry,xor(t5,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(t1,xor(t5,or(carry,t2))),xor(t5,or(carry,t2))) )],[refute_0_22273,refute_0_23483]) ).
cnf(refute_0_23485,plain,
and(not(t5),xor(t5,or(carry,t2))) = and(carry,xor(t5,or(carry,t2))),
inference(resolve,[$cnf( $equal(and(not(t5),xor(t5,or(carry,t2))),and(carry,and(t1,xor(t5,or(carry,t2))))) )],[refute_0_23482,refute_0_23484]) ).
cnf(refute_0_23486,plain,
and(not(t5),not(xor(carry,or(carry,t2)))) = and(carry,and(t1,not(xor(carry,or(carry,t2))))),
inference(subst,[],[refute_0_11700:[bind(Z,$fot(not(xor(carry,or(carry,t2)))))]]) ).
cnf(refute_0_23487,plain,
( and(not(t5),not(xor(carry,or(carry,t2)))) != and(carry,and(t1,not(xor(carry,or(carry,t2)))))
| and(t1,not(xor(carry,or(carry,t2)))) != xor(t5,or(carry,t2))
| and(not(t5),not(xor(carry,or(carry,t2)))) = and(carry,xor(t5,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),not(xor(carry,or(carry,t2)))),and(carry,and(t1,not(xor(carry,or(carry,t2)))))) ),[1,1],$fot(xor(t5,or(carry,t2)))]]) ).
cnf(refute_0_23488,plain,
( and(not(t5),not(xor(carry,or(carry,t2)))) != and(carry,and(t1,not(xor(carry,or(carry,t2)))))
| and(not(t5),not(xor(carry,or(carry,t2)))) = and(carry,xor(t5,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(t1,not(xor(carry,or(carry,t2)))),xor(t5,or(carry,t2))) )],[refute_0_18669,refute_0_23487]) ).
cnf(refute_0_23489,plain,
and(not(t5),not(xor(carry,or(carry,t2)))) = and(carry,xor(t5,or(carry,t2))),
inference(resolve,[$cnf( $equal(and(not(t5),not(xor(carry,or(carry,t2)))),and(carry,and(t1,not(xor(carry,or(carry,t2)))))) )],[refute_0_23486,refute_0_23488]) ).
cnf(refute_0_23490,plain,
or(t5,and(not(carry),Y)) = or(t5,or(not(carry),and(not(carry),Y))),
inference(subst,[],[refute_0_4370:[bind(X_39,$fot(and(not(carry),Y)))]]) ).
cnf(refute_0_23491,plain,
or(not(carry),and(not(carry),Y)) = not(carry),
inference(subst,[],[or_absorption:[bind(X,$fot(not(carry)))]]) ).
cnf(refute_0_23492,plain,
( or(not(carry),and(not(carry),Y)) != not(carry)
| or(t5,and(not(carry),Y)) != or(t5,or(not(carry),and(not(carry),Y)))
| or(t5,and(not(carry),Y)) = or(t5,not(carry)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,and(not(carry),Y)),or(t5,or(not(carry),and(not(carry),Y)))) ),[1,1],$fot(not(carry))]]) ).
cnf(refute_0_23493,plain,
( or(t5,and(not(carry),Y)) != or(t5,or(not(carry),and(not(carry),Y)))
| or(t5,and(not(carry),Y)) = or(t5,not(carry)) ),
inference(resolve,[$cnf( $equal(or(not(carry),and(not(carry),Y)),not(carry)) )],[refute_0_23491,refute_0_23492]) ).
cnf(refute_0_23494,plain,
or(t5,and(not(carry),Y)) = or(t5,not(carry)),
inference(resolve,[$cnf( $equal(or(t5,and(not(carry),Y)),or(t5,or(not(carry),and(not(carry),Y)))) )],[refute_0_23490,refute_0_23493]) ).
cnf(refute_0_23495,plain,
( or(t5,and(not(carry),Y)) != or(t5,not(carry))
| or(t5,not(carry)) != t5
| or(t5,and(not(carry),Y)) = t5 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(t5,and(not(carry),Y)),t5) ),[0],$fot(or(t5,not(carry)))]]) ).
cnf(refute_0_23496,plain,
( or(t5,and(not(carry),Y)) != or(t5,not(carry))
| or(t5,and(not(carry),Y)) = t5 ),
inference(resolve,[$cnf( $equal(or(t5,not(carry)),t5) )],[refute_0_4310,refute_0_23495]) ).
cnf(refute_0_23497,plain,
or(t5,and(not(carry),Y)) = t5,
inference(resolve,[$cnf( $equal(or(t5,and(not(carry),Y)),or(t5,not(carry))) )],[refute_0_23494,refute_0_23496]) ).
cnf(refute_0_23498,plain,
or(t5,and(not(carry),or(t2,and(carry,t1)))) = t5,
inference(subst,[],[refute_0_23497:[bind(Y,$fot(or(t2,and(carry,t1))))]]) ).
cnf(refute_0_23499,plain,
( and(not(carry),or(t2,and(carry,t1))) != xor(carry,or(t2,and(carry,t1)))
| or(t5,and(not(carry),or(t2,and(carry,t1)))) != t5
| or(t5,xor(carry,or(t2,and(carry,t1)))) = t5 ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,and(not(carry),or(t2,and(carry,t1)))),t5) ),[0,1],$fot(xor(carry,or(t2,and(carry,t1))))]]) ).
cnf(refute_0_23500,plain,
( or(t5,and(not(carry),or(t2,and(carry,t1)))) != t5
| or(t5,xor(carry,or(t2,and(carry,t1)))) = t5 ),
inference(resolve,[$cnf( $equal(and(not(carry),or(t2,and(carry,t1))),xor(carry,or(t2,and(carry,t1)))) )],[refute_0_18593,refute_0_23499]) ).
cnf(refute_0_23501,plain,
or(t5,xor(carry,or(t2,and(carry,t1)))) = t5,
inference(resolve,[$cnf( $equal(or(t5,and(not(carry),or(t2,and(carry,t1)))),t5) )],[refute_0_23498,refute_0_23500]) ).
cnf(refute_0_23502,plain,
or(t5,xor(carry,or(t2,and(carry,t1)))) = or(t5,xor(carry,or(t2,and(carry,t1)))),
introduced(tautology,[refl,[$fot(or(t5,xor(carry,or(t2,and(carry,t1)))))]]) ).
cnf(refute_0_23503,plain,
( or(t5,xor(carry,or(t2,and(carry,t1)))) != or(t5,xor(carry,or(t2,and(carry,t1))))
| xor(carry,or(t2,and(carry,t1))) != xor(carry,or(carry,t2))
| or(t5,xor(carry,or(t2,and(carry,t1)))) = or(t5,xor(carry,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,xor(carry,or(t2,and(carry,t1)))),or(t5,xor(carry,or(t2,and(carry,t1))))) ),[1,1],$fot(xor(carry,or(carry,t2)))]]) ).
cnf(refute_0_23504,plain,
( xor(carry,or(t2,and(carry,t1))) != xor(carry,or(carry,t2))
| or(t5,xor(carry,or(t2,and(carry,t1)))) = or(t5,xor(carry,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(or(t5,xor(carry,or(t2,and(carry,t1)))),or(t5,xor(carry,or(t2,and(carry,t1))))) )],[refute_0_23502,refute_0_23503]) ).
cnf(refute_0_23505,plain,
or(t5,xor(carry,or(t2,and(carry,t1)))) = or(t5,xor(carry,or(carry,t2))),
inference(resolve,[$cnf( $equal(xor(carry,or(t2,and(carry,t1))),xor(carry,or(carry,t2))) )],[refute_0_18622,refute_0_23504]) ).
cnf(refute_0_23506,plain,
( or(t5,xor(carry,or(t2,and(carry,t1)))) != or(t5,xor(carry,or(carry,t2)))
| or(t5,xor(carry,or(t2,and(carry,t1)))) != t5
| or(t5,xor(carry,or(carry,t2))) = t5 ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,xor(carry,or(t2,and(carry,t1)))),t5) ),[0],$fot(or(t5,xor(carry,or(carry,t2))))]]) ).
cnf(refute_0_23507,plain,
( or(t5,xor(carry,or(t2,and(carry,t1)))) != t5
| or(t5,xor(carry,or(carry,t2))) = t5 ),
inference(resolve,[$cnf( $equal(or(t5,xor(carry,or(t2,and(carry,t1)))),or(t5,xor(carry,or(carry,t2)))) )],[refute_0_23505,refute_0_23506]) ).
cnf(refute_0_23508,plain,
or(t5,xor(carry,or(carry,t2))) = t5,
inference(resolve,[$cnf( $equal(or(t5,xor(carry,or(t2,and(carry,t1)))),t5) )],[refute_0_23501,refute_0_23507]) ).
cnf(refute_0_23509,plain,
not(or(t5,xor(carry,or(carry,t2)))) = not(or(t5,xor(carry,or(carry,t2)))),
introduced(tautology,[refl,[$fot(not(or(t5,xor(carry,or(carry,t2)))))]]) ).
cnf(refute_0_23510,plain,
( not(or(t5,xor(carry,or(carry,t2)))) != not(or(t5,xor(carry,or(carry,t2))))
| or(t5,xor(carry,or(carry,t2))) != t5
| not(or(t5,xor(carry,or(carry,t2)))) = not(t5) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t5,xor(carry,or(carry,t2)))),not(or(t5,xor(carry,or(carry,t2))))) ),[1,0],$fot(t5)]]) ).
cnf(refute_0_23511,plain,
( or(t5,xor(carry,or(carry,t2))) != t5
| not(or(t5,xor(carry,or(carry,t2)))) = not(t5) ),
inference(resolve,[$cnf( $equal(not(or(t5,xor(carry,or(carry,t2)))),not(or(t5,xor(carry,or(carry,t2))))) )],[refute_0_23509,refute_0_23510]) ).
cnf(refute_0_23512,plain,
not(or(t5,xor(carry,or(carry,t2)))) = not(t5),
inference(resolve,[$cnf( $equal(or(t5,xor(carry,or(carry,t2))),t5) )],[refute_0_23508,refute_0_23511]) ).
cnf(refute_0_23513,plain,
and(not(t5),not(xor(carry,or(carry,t2)))) = not(or(t5,xor(carry,or(carry,t2)))),
inference(subst,[],[refute_0_101:[bind(X,$fot(t5)),bind(Y,$fot(xor(carry,or(carry,t2))))]]) ).
cnf(refute_0_23514,plain,
( and(not(t5),not(xor(carry,or(carry,t2)))) != not(or(t5,xor(carry,or(carry,t2))))
| not(or(t5,xor(carry,or(carry,t2)))) != not(t5)
| and(not(t5),not(xor(carry,or(carry,t2)))) = not(t5) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t5),not(xor(carry,or(carry,t2)))))),bind(Y0,$fot(not(or(t5,xor(carry,or(carry,t2)))))),bind(Z0,$fot(not(t5)))]]) ).
cnf(refute_0_23515,plain,
( not(or(t5,xor(carry,or(carry,t2)))) != not(t5)
| and(not(t5),not(xor(carry,or(carry,t2)))) = not(t5) ),
inference(resolve,[$cnf( $equal(and(not(t5),not(xor(carry,or(carry,t2)))),not(or(t5,xor(carry,or(carry,t2))))) )],[refute_0_23513,refute_0_23514]) ).
cnf(refute_0_23516,plain,
and(not(t5),not(xor(carry,or(carry,t2)))) = not(t5),
inference(resolve,[$cnf( $equal(not(or(t5,xor(carry,or(carry,t2)))),not(t5)) )],[refute_0_23512,refute_0_23515]) ).
cnf(refute_0_23517,plain,
( and(not(t5),not(xor(carry,or(carry,t2)))) != and(carry,xor(t5,or(carry,t2)))
| and(not(t5),not(xor(carry,or(carry,t2)))) != not(t5)
| not(t5) = and(carry,xor(t5,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),not(xor(carry,or(carry,t2)))),and(carry,xor(t5,or(carry,t2)))) ),[0],$fot(not(t5))]]) ).
cnf(refute_0_23518,plain,
( and(not(t5),not(xor(carry,or(carry,t2)))) != and(carry,xor(t5,or(carry,t2)))
| not(t5) = and(carry,xor(t5,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(not(t5),not(xor(carry,or(carry,t2)))),not(t5)) )],[refute_0_23516,refute_0_23517]) ).
cnf(refute_0_23519,plain,
not(t5) = and(carry,xor(t5,or(carry,t2))),
inference(resolve,[$cnf( $equal(and(not(t5),not(xor(carry,or(carry,t2)))),and(carry,xor(t5,or(carry,t2)))) )],[refute_0_23489,refute_0_23518]) ).
cnf(refute_0_23520,plain,
( not(t5) != and(carry,xor(t5,or(carry,t2)))
| and(carry,xor(t5,or(carry,t2))) = not(t5) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(t5))),bind(Y0,$fot(and(carry,xor(t5,or(carry,t2)))))]]) ).
cnf(refute_0_23521,plain,
and(carry,xor(t5,or(carry,t2))) = not(t5),
inference(resolve,[$cnf( $equal(not(t5),and(carry,xor(t5,or(carry,t2)))) )],[refute_0_23519,refute_0_23520]) ).
cnf(refute_0_23522,plain,
( and(carry,xor(t5,or(carry,t2))) != not(t5)
| and(not(t5),xor(t5,or(carry,t2))) != and(carry,xor(t5,or(carry,t2)))
| and(not(t5),xor(t5,or(carry,t2))) = not(t5) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),xor(t5,or(carry,t2))),and(carry,xor(t5,or(carry,t2)))) ),[1],$fot(not(t5))]]) ).
cnf(refute_0_23523,plain,
( and(not(t5),xor(t5,or(carry,t2))) != and(carry,xor(t5,or(carry,t2)))
| and(not(t5),xor(t5,or(carry,t2))) = not(t5) ),
inference(resolve,[$cnf( $equal(and(carry,xor(t5,or(carry,t2))),not(t5)) )],[refute_0_23521,refute_0_23522]) ).
cnf(refute_0_23524,plain,
and(not(t5),xor(t5,or(carry,t2))) = not(t5),
inference(resolve,[$cnf( $equal(and(not(t5),xor(t5,or(carry,t2))),and(carry,xor(t5,or(carry,t2)))) )],[refute_0_23485,refute_0_23523]) ).
cnf(refute_0_23525,plain,
( and(not(t5),xor(t5,or(carry,t2))) != not(t5)
| not(and(xor(t5,or(carry,t2)),not(t5))) != not(and(not(t5),xor(t5,or(carry,t2))))
| not(and(xor(t5,or(carry,t2)),not(t5))) = not(not(t5)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(xor(t5,or(carry,t2)),not(t5))),not(and(not(t5),xor(t5,or(carry,t2))))) ),[1,0],$fot(not(t5))]]) ).
cnf(refute_0_23526,plain,
( not(and(xor(t5,or(carry,t2)),not(t5))) != not(and(not(t5),xor(t5,or(carry,t2))))
| not(and(xor(t5,or(carry,t2)),not(t5))) = not(not(t5)) ),
inference(resolve,[$cnf( $equal(and(not(t5),xor(t5,or(carry,t2))),not(t5)) )],[refute_0_23524,refute_0_23525]) ).
cnf(refute_0_23527,plain,
not(and(xor(t5,or(carry,t2)),not(t5))) = not(not(t5)),
inference(resolve,[$cnf( $equal(not(and(xor(t5,or(carry,t2)),not(t5))),not(and(not(t5),xor(t5,or(carry,t2))))) )],[refute_0_23481,refute_0_23526]) ).
cnf(refute_0_23528,plain,
not(and(not(t5),xor(t5,or(carry,t2)))) = or(t5,not(xor(t5,or(carry,t2)))),
inference(subst,[],[refute_0_787:[bind(X,$fot(t5)),bind(X_32,$fot(xor(t5,or(carry,t2))))]]) ).
cnf(refute_0_23529,plain,
( not(and(not(t5),xor(t5,or(carry,t2)))) != or(t5,not(xor(t5,or(carry,t2))))
| not(and(xor(t5,or(carry,t2)),not(t5))) != not(and(not(t5),xor(t5,or(carry,t2))))
| not(and(xor(t5,or(carry,t2)),not(t5))) = or(t5,not(xor(t5,or(carry,t2)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(xor(t5,or(carry,t2)),not(t5))))),bind(Y0,$fot(not(and(not(t5),xor(t5,or(carry,t2)))))),bind(Z0,$fot(or(t5,not(xor(t5,or(carry,t2))))))]]) ).
cnf(refute_0_23530,plain,
( not(and(not(t5),xor(t5,or(carry,t2)))) != or(t5,not(xor(t5,or(carry,t2))))
| not(and(xor(t5,or(carry,t2)),not(t5))) = or(t5,not(xor(t5,or(carry,t2)))) ),
inference(resolve,[$cnf( $equal(not(and(xor(t5,or(carry,t2)),not(t5))),not(and(not(t5),xor(t5,or(carry,t2))))) )],[refute_0_23481,refute_0_23529]) ).
cnf(refute_0_23531,plain,
not(and(xor(t5,or(carry,t2)),not(t5))) = or(t5,not(xor(t5,or(carry,t2)))),
inference(resolve,[$cnf( $equal(not(and(not(t5),xor(t5,or(carry,t2)))),or(t5,not(xor(t5,or(carry,t2))))) )],[refute_0_23528,refute_0_23530]) ).
cnf(refute_0_23532,plain,
( not(and(xor(t5,or(carry,t2)),not(t5))) != not(not(t5))
| not(and(xor(t5,or(carry,t2)),not(t5))) != or(t5,not(xor(t5,or(carry,t2))))
| or(t5,not(xor(t5,or(carry,t2)))) = not(not(t5)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(xor(t5,or(carry,t2)),not(t5))),not(not(t5))) ),[0],$fot(or(t5,not(xor(t5,or(carry,t2)))))]]) ).
cnf(refute_0_23533,plain,
( not(and(xor(t5,or(carry,t2)),not(t5))) != not(not(t5))
| or(t5,not(xor(t5,or(carry,t2)))) = not(not(t5)) ),
inference(resolve,[$cnf( $equal(not(and(xor(t5,or(carry,t2)),not(t5))),or(t5,not(xor(t5,or(carry,t2))))) )],[refute_0_23531,refute_0_23532]) ).
cnf(refute_0_23534,plain,
( not(not(t5)) != t5
| or(t5,not(xor(t5,or(carry,t2)))) != not(not(t5))
| or(t5,not(xor(t5,or(carry,t2)))) = t5 ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,not(xor(t5,or(carry,t2)))),not(not(t5))) ),[1],$fot(t5)]]) ).
cnf(refute_0_23535,plain,
( or(t5,not(xor(t5,or(carry,t2)))) != not(not(t5))
| or(t5,not(xor(t5,or(carry,t2)))) = t5 ),
inference(resolve,[$cnf( $equal(not(not(t5)),t5) )],[refute_0_4051,refute_0_23534]) ).
cnf(refute_0_23536,plain,
( not(and(xor(t5,or(carry,t2)),not(t5))) != not(not(t5))
| or(t5,not(xor(t5,or(carry,t2)))) = t5 ),
inference(resolve,[$cnf( $equal(or(t5,not(xor(t5,or(carry,t2)))),not(not(t5))) )],[refute_0_23533,refute_0_23535]) ).
cnf(refute_0_23537,plain,
or(t5,not(xor(t5,or(carry,t2)))) = t5,
inference(resolve,[$cnf( $equal(not(and(xor(t5,or(carry,t2)),not(t5))),not(not(t5))) )],[refute_0_23527,refute_0_23536]) ).
cnf(refute_0_23538,plain,
( and(not(xor(t5,or(carry,t2))),or(t5,not(xor(t5,or(carry,t2))))) != not(xor(t5,or(carry,t2)))
| or(t5,not(xor(t5,or(carry,t2)))) != t5
| and(not(xor(t5,or(carry,t2))),t5) = not(xor(t5,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(xor(t5,or(carry,t2))),or(t5,not(xor(t5,or(carry,t2))))),not(xor(t5,or(carry,t2)))) ),[0,1],$fot(t5)]]) ).
cnf(refute_0_23539,plain,
( and(not(xor(t5,or(carry,t2))),or(t5,not(xor(t5,or(carry,t2))))) != not(xor(t5,or(carry,t2)))
| and(not(xor(t5,or(carry,t2))),t5) = not(xor(t5,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(or(t5,not(xor(t5,or(carry,t2)))),t5) )],[refute_0_23537,refute_0_23538]) ).
cnf(refute_0_23540,plain,
and(not(xor(t5,or(carry,t2))),t5) = not(xor(t5,or(carry,t2))),
inference(resolve,[$cnf( $equal(and(not(xor(t5,or(carry,t2))),or(t5,not(xor(t5,or(carry,t2))))),not(xor(t5,or(carry,t2)))) )],[refute_0_23480,refute_0_23539]) ).
cnf(refute_0_23541,plain,
and(not(xor(t5,or(carry,t2))),t5) = and(t5,not(xor(t5,or(carry,t2)))),
inference(subst,[],[refute_0_116:[bind(X,$fot(t5)),bind(Y,$fot(not(xor(t5,or(carry,t2)))))]]) ).
cnf(refute_0_23542,plain,
( and(not(xor(t5,or(carry,t2))),t5) != and(t5,not(xor(t5,or(carry,t2))))
| and(not(xor(t5,or(carry,t2))),t5) != not(xor(t5,or(carry,t2)))
| and(t5,not(xor(t5,or(carry,t2)))) = not(xor(t5,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(xor(t5,or(carry,t2))),t5),not(xor(t5,or(carry,t2)))) ),[0],$fot(and(t5,not(xor(t5,or(carry,t2)))))]]) ).
cnf(refute_0_23543,plain,
( and(not(xor(t5,or(carry,t2))),t5) != not(xor(t5,or(carry,t2)))
| and(t5,not(xor(t5,or(carry,t2)))) = not(xor(t5,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(not(xor(t5,or(carry,t2))),t5),and(t5,not(xor(t5,or(carry,t2))))) )],[refute_0_23541,refute_0_23542]) ).
cnf(refute_0_23544,plain,
and(t5,not(xor(t5,or(carry,t2)))) = not(xor(t5,or(carry,t2))),
inference(resolve,[$cnf( $equal(and(not(xor(t5,or(carry,t2))),t5),not(xor(t5,or(carry,t2)))) )],[refute_0_23540,refute_0_23543]) ).
cnf(refute_0_23545,plain,
not(xor(t5,or(carry,t2))) = not(xor(t5,or(carry,t2))),
introduced(tautology,[refl,[$fot(not(xor(t5,or(carry,t2))))]]) ).
cnf(refute_0_23546,plain,
( not(xor(t5,or(carry,t2))) != not(xor(t5,or(carry,t2)))
| xor(t5,or(carry,t2)) != xor(t5,or(b,t6))
| not(xor(t5,or(carry,t2))) = not(xor(t5,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t5,or(carry,t2))),not(xor(t5,or(carry,t2)))) ),[1,0],$fot(xor(t5,or(b,t6)))]]) ).
cnf(refute_0_23547,plain,
( xor(t5,or(carry,t2)) != xor(t5,or(b,t6))
| not(xor(t5,or(carry,t2))) = not(xor(t5,or(b,t6))) ),
inference(resolve,[$cnf( $equal(not(xor(t5,or(carry,t2))),not(xor(t5,or(carry,t2)))) )],[refute_0_23545,refute_0_23546]) ).
cnf(refute_0_23548,plain,
not(xor(t5,or(carry,t2))) = not(xor(t5,or(b,t6))),
inference(resolve,[$cnf( $equal(xor(t5,or(carry,t2)),xor(t5,or(b,t6))) )],[refute_0_19506,refute_0_23547]) ).
cnf(refute_0_23549,plain,
and(t5,not(xor(t5,or(carry,t2)))) = and(t5,not(xor(t5,or(carry,t2)))),
introduced(tautology,[refl,[$fot(and(t5,not(xor(t5,or(carry,t2)))))]]) ).
cnf(refute_0_23550,plain,
( and(t5,not(xor(t5,or(carry,t2)))) != and(t5,not(xor(t5,or(carry,t2))))
| not(xor(t5,or(carry,t2))) != not(xor(t5,or(b,t6)))
| and(t5,not(xor(t5,or(carry,t2)))) = and(t5,not(xor(t5,or(b,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,not(xor(t5,or(carry,t2)))),and(t5,not(xor(t5,or(carry,t2))))) ),[1,1],$fot(not(xor(t5,or(b,t6))))]]) ).
cnf(refute_0_23551,plain,
( not(xor(t5,or(carry,t2))) != not(xor(t5,or(b,t6)))
| and(t5,not(xor(t5,or(carry,t2)))) = and(t5,not(xor(t5,or(b,t6)))) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t5,or(carry,t2)))),and(t5,not(xor(t5,or(carry,t2))))) )],[refute_0_23549,refute_0_23550]) ).
cnf(refute_0_23552,plain,
and(t5,not(xor(t5,or(carry,t2)))) = and(t5,not(xor(t5,or(b,t6)))),
inference(resolve,[$cnf( $equal(not(xor(t5,or(carry,t2))),not(xor(t5,or(b,t6)))) )],[refute_0_23548,refute_0_23551]) ).
cnf(refute_0_23553,plain,
( and(t5,not(xor(t5,or(carry,t2)))) != and(t5,not(xor(t5,or(b,t6))))
| and(t5,not(xor(t5,or(carry,t2)))) != not(xor(t5,or(carry,t2)))
| and(t5,not(xor(t5,or(b,t6)))) = not(xor(t5,or(carry,t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,not(xor(t5,or(carry,t2)))),not(xor(t5,or(carry,t2)))) ),[0],$fot(and(t5,not(xor(t5,or(b,t6)))))]]) ).
cnf(refute_0_23554,plain,
( and(t5,not(xor(t5,or(carry,t2)))) != not(xor(t5,or(carry,t2)))
| and(t5,not(xor(t5,or(b,t6)))) = not(xor(t5,or(carry,t2))) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t5,or(carry,t2)))),and(t5,not(xor(t5,or(b,t6))))) )],[refute_0_23552,refute_0_23553]) ).
cnf(refute_0_23555,plain,
( and(t5,not(xor(t5,or(b,t6)))) != not(xor(t5,or(carry,t2)))
| not(xor(t5,or(carry,t2))) != not(xor(t5,or(b,t6)))
| and(t5,not(xor(t5,or(b,t6)))) = not(xor(t5,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t5,not(xor(t5,or(b,t6)))),not(xor(t5,or(b,t6)))) ),[0],$fot(not(xor(t5,or(carry,t2))))]]) ).
cnf(refute_0_23556,plain,
( and(t5,not(xor(t5,or(b,t6)))) != not(xor(t5,or(carry,t2)))
| and(t5,not(xor(t5,or(b,t6)))) = not(xor(t5,or(b,t6))) ),
inference(resolve,[$cnf( $equal(not(xor(t5,or(carry,t2))),not(xor(t5,or(b,t6)))) )],[refute_0_23548,refute_0_23555]) ).
cnf(refute_0_23557,plain,
( and(t5,not(xor(t5,or(carry,t2)))) != not(xor(t5,or(carry,t2)))
| and(t5,not(xor(t5,or(b,t6)))) = not(xor(t5,or(b,t6))) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t5,or(b,t6)))),not(xor(t5,or(carry,t2)))) )],[refute_0_23554,refute_0_23556]) ).
cnf(refute_0_23558,plain,
and(t5,not(xor(t5,or(b,t6)))) = not(xor(t5,or(b,t6))),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t5,or(carry,t2)))),not(xor(t5,or(carry,t2)))) )],[refute_0_23544,refute_0_23557]) ).
cnf(refute_0_23559,plain,
and(t5,or(a,t5)) = t5,
inference(subst,[],[refute_0_214:[bind(X_19,$fot(t5)),bind(X_20,$fot(a))]]) ).
cnf(refute_0_23560,plain,
and(t2,and(t5,or(a,t5))) = and(t2,and(t5,or(a,t5))),
introduced(tautology,[refl,[$fot(and(t2,and(t5,or(a,t5))))]]) ).
cnf(refute_0_23561,plain,
( and(t2,and(t5,or(a,t5))) != and(t2,and(t5,or(a,t5)))
| and(t5,or(a,t5)) != t5
| and(t2,and(t5,or(a,t5))) = and(t2,t5) ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,and(t5,or(a,t5))),and(t2,and(t5,or(a,t5)))) ),[1,1],$fot(t5)]]) ).
cnf(refute_0_23562,plain,
( and(t5,or(a,t5)) != t5
| and(t2,and(t5,or(a,t5))) = and(t2,t5) ),
inference(resolve,[$cnf( $equal(and(t2,and(t5,or(a,t5))),and(t2,and(t5,or(a,t5)))) )],[refute_0_23560,refute_0_23561]) ).
cnf(refute_0_23563,plain,
and(t2,and(t5,or(a,t5))) = and(t2,t5),
inference(resolve,[$cnf( $equal(and(t5,or(a,t5)),t5) )],[refute_0_23559,refute_0_23562]) ).
cnf(refute_0_23564,plain,
and(t5,and(t2,or(a,t5))) = and(t2,and(t5,or(a,t5))),
inference(subst,[],[refute_0_4220:[bind(X,$fot(t2)),bind(Z,$fot(or(a,t5))),bind(X_669,$fot(t5))]]) ).
cnf(refute_0_23565,plain,
( and(t2,and(t5,or(a,t5))) != and(t2,t5)
| and(t5,and(t2,or(a,t5))) != and(t2,and(t5,or(a,t5)))
| and(t5,and(t2,or(a,t5))) = and(t2,t5) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t5,and(t2,or(a,t5))))),bind(Y0,$fot(and(t2,and(t5,or(a,t5))))),bind(Z0,$fot(and(t2,t5)))]]) ).
cnf(refute_0_23566,plain,
( and(t2,and(t5,or(a,t5))) != and(t2,t5)
| and(t5,and(t2,or(a,t5))) = and(t2,t5) ),
inference(resolve,[$cnf( $equal(and(t5,and(t2,or(a,t5))),and(t2,and(t5,or(a,t5)))) )],[refute_0_23564,refute_0_23565]) ).
cnf(refute_0_23567,plain,
and(t5,and(t2,or(a,t5))) = and(t2,t5),
inference(resolve,[$cnf( $equal(and(t2,and(t5,or(a,t5))),and(t2,t5)) )],[refute_0_23563,refute_0_23566]) ).
cnf(refute_0_23568,plain,
not(xor(t5,or(b,t6))) = not(xor(t5,or(b,t6))),
introduced(tautology,[refl,[$fot(not(xor(t5,or(b,t6))))]]) ).
cnf(refute_0_23569,plain,
( not(xor(t5,or(b,t6))) != not(xor(t5,or(b,t6)))
| xor(t5,or(b,t6)) != and(t4,or(a,t6))
| not(xor(t5,or(b,t6))) = not(and(t4,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t5,or(b,t6))),not(xor(t5,or(b,t6)))) ),[1,0],$fot(and(t4,or(a,t6)))]]) ).
cnf(refute_0_23570,plain,
( xor(t5,or(b,t6)) != and(t4,or(a,t6))
| not(xor(t5,or(b,t6))) = not(and(t4,or(a,t6))) ),
inference(resolve,[$cnf( $equal(not(xor(t5,or(b,t6))),not(xor(t5,or(b,t6)))) )],[refute_0_23568,refute_0_23569]) ).
cnf(refute_0_23571,plain,
not(xor(t5,or(b,t6))) = not(and(t4,or(a,t6))),
inference(resolve,[$cnf( $equal(xor(t5,or(b,t6)),and(t4,or(a,t6))) )],[refute_0_22063,refute_0_23570]) ).
cnf(refute_0_23572,plain,
( not(and(t4,or(a,t6))) != and(t2,or(a,t5))
| not(xor(t5,or(b,t6))) != not(and(t4,or(a,t6)))
| not(xor(t5,or(b,t6))) = and(t2,or(a,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t5,or(b,t6))))),bind(Y0,$fot(not(and(t4,or(a,t6))))),bind(Z0,$fot(and(t2,or(a,t5))))]]) ).
cnf(refute_0_23573,plain,
( not(and(t4,or(a,t6))) != and(t2,or(a,t5))
| not(xor(t5,or(b,t6))) = and(t2,or(a,t5)) ),
inference(resolve,[$cnf( $equal(not(xor(t5,or(b,t6))),not(and(t4,or(a,t6)))) )],[refute_0_23571,refute_0_23572]) ).
cnf(refute_0_23574,plain,
not(xor(t5,or(b,t6))) = and(t2,or(a,t5)),
inference(resolve,[$cnf( $equal(not(and(t4,or(a,t6))),and(t2,or(a,t5))) )],[refute_0_23479,refute_0_23573]) ).
cnf(refute_0_23575,plain,
and(t5,not(xor(t5,or(b,t6)))) = and(t5,not(xor(t5,or(b,t6)))),
introduced(tautology,[refl,[$fot(and(t5,not(xor(t5,or(b,t6)))))]]) ).
cnf(refute_0_23576,plain,
( and(t5,not(xor(t5,or(b,t6)))) != and(t5,not(xor(t5,or(b,t6))))
| not(xor(t5,or(b,t6))) != and(t2,or(a,t5))
| and(t5,not(xor(t5,or(b,t6)))) = and(t5,and(t2,or(a,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,not(xor(t5,or(b,t6)))),and(t5,not(xor(t5,or(b,t6))))) ),[1,1],$fot(and(t2,or(a,t5)))]]) ).
cnf(refute_0_23577,plain,
( not(xor(t5,or(b,t6))) != and(t2,or(a,t5))
| and(t5,not(xor(t5,or(b,t6)))) = and(t5,and(t2,or(a,t5))) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t5,or(b,t6)))),and(t5,not(xor(t5,or(b,t6))))) )],[refute_0_23575,refute_0_23576]) ).
cnf(refute_0_23578,plain,
and(t5,not(xor(t5,or(b,t6)))) = and(t5,and(t2,or(a,t5))),
inference(resolve,[$cnf( $equal(not(xor(t5,or(b,t6))),and(t2,or(a,t5))) )],[refute_0_23574,refute_0_23577]) ).
cnf(refute_0_23579,plain,
( and(t5,and(t2,or(a,t5))) != and(t2,t5)
| and(t5,not(xor(t5,or(b,t6)))) != and(t5,and(t2,or(a,t5)))
| and(t5,not(xor(t5,or(b,t6)))) = and(t2,t5) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t5,not(xor(t5,or(b,t6)))))),bind(Y0,$fot(and(t5,and(t2,or(a,t5))))),bind(Z0,$fot(and(t2,t5)))]]) ).
cnf(refute_0_23580,plain,
( and(t5,and(t2,or(a,t5))) != and(t2,t5)
| and(t5,not(xor(t5,or(b,t6)))) = and(t2,t5) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t5,or(b,t6)))),and(t5,and(t2,or(a,t5)))) )],[refute_0_23578,refute_0_23579]) ).
cnf(refute_0_23581,plain,
and(t5,not(xor(t5,or(b,t6)))) = and(t2,t5),
inference(resolve,[$cnf( $equal(and(t5,and(t2,or(a,t5))),and(t2,t5)) )],[refute_0_23567,refute_0_23580]) ).
cnf(refute_0_23582,plain,
( and(t5,not(xor(t5,or(b,t6)))) != and(t2,t5)
| and(t5,not(xor(t5,or(b,t6)))) != not(xor(t5,or(b,t6)))
| and(t2,t5) = not(xor(t5,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,not(xor(t5,or(b,t6)))),not(xor(t5,or(b,t6)))) ),[0],$fot(and(t2,t5))]]) ).
cnf(refute_0_23583,plain,
( and(t5,not(xor(t5,or(b,t6)))) != not(xor(t5,or(b,t6)))
| and(t2,t5) = not(xor(t5,or(b,t6))) ),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t5,or(b,t6)))),and(t2,t5)) )],[refute_0_23581,refute_0_23582]) ).
cnf(refute_0_23584,plain,
( and(t2,t5) != not(xor(t5,or(b,t6)))
| not(xor(t5,or(b,t6))) != and(t2,or(a,t5))
| and(t2,t5) = and(t2,or(a,t5)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t2,t5),and(t2,or(a,t5))) ),[0],$fot(not(xor(t5,or(b,t6))))]]) ).
cnf(refute_0_23585,plain,
( and(t2,t5) != not(xor(t5,or(b,t6)))
| and(t2,t5) = and(t2,or(a,t5)) ),
inference(resolve,[$cnf( $equal(not(xor(t5,or(b,t6))),and(t2,or(a,t5))) )],[refute_0_23574,refute_0_23584]) ).
cnf(refute_0_23586,plain,
( and(t5,not(xor(t5,or(b,t6)))) != not(xor(t5,or(b,t6)))
| and(t2,t5) = and(t2,or(a,t5)) ),
inference(resolve,[$cnf( $equal(and(t2,t5),not(xor(t5,or(b,t6)))) )],[refute_0_23583,refute_0_23585]) ).
cnf(refute_0_23587,plain,
and(t2,t5) = and(t2,or(a,t5)),
inference(resolve,[$cnf( $equal(and(t5,not(xor(t5,or(b,t6)))),not(xor(t5,or(b,t6)))) )],[refute_0_23558,refute_0_23586]) ).
cnf(refute_0_23588,plain,
( and(t2,t5) != and(t2,or(a,t5))
| and(t2,or(a,t5)) = and(t2,t5) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t2,t5))),bind(Y0,$fot(and(t2,or(a,t5))))]]) ).
cnf(refute_0_23589,plain,
and(t2,or(a,t5)) = and(t2,t5),
inference(resolve,[$cnf( $equal(and(t2,t5),and(t2,or(a,t5))) )],[refute_0_23587,refute_0_23588]) ).
cnf(refute_0_23590,plain,
( and(t2,or(a,t5)) != and(t2,t5)
| not(and(t4,or(a,t6))) != and(t2,or(a,t5))
| not(and(t4,or(a,t6))) = and(t2,t5) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(t4,or(a,t6))),and(t2,or(a,t5))) ),[1],$fot(and(t2,t5))]]) ).
cnf(refute_0_23591,plain,
( not(and(t4,or(a,t6))) != and(t2,or(a,t5))
| not(and(t4,or(a,t6))) = and(t2,t5) ),
inference(resolve,[$cnf( $equal(and(t2,or(a,t5)),and(t2,t5)) )],[refute_0_23589,refute_0_23590]) ).
cnf(refute_0_23592,plain,
not(and(t4,or(a,t6))) = and(t2,t5),
inference(resolve,[$cnf( $equal(not(and(t4,or(a,t6))),and(t2,or(a,t5))) )],[refute_0_23479,refute_0_23591]) ).
cnf(refute_0_23593,plain,
( not(and(t4,or(a,t6))) != and(t2,t5)
| not(xor(t5,or(b,t6))) != not(and(t4,or(a,t6)))
| not(xor(t5,or(b,t6))) = and(t2,t5) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t5,or(b,t6))))),bind(Y0,$fot(not(and(t4,or(a,t6))))),bind(Z0,$fot(and(t2,t5)))]]) ).
cnf(refute_0_23594,plain,
( not(and(t4,or(a,t6))) != and(t2,t5)
| not(xor(t5,or(b,t6))) = and(t2,t5) ),
inference(resolve,[$cnf( $equal(not(xor(t5,or(b,t6))),not(and(t4,or(a,t6)))) )],[refute_0_23571,refute_0_23593]) ).
cnf(refute_0_23595,plain,
not(xor(t5,or(b,t6))) = and(t2,t5),
inference(resolve,[$cnf( $equal(not(and(t4,or(a,t6))),and(t2,t5)) )],[refute_0_23592,refute_0_23594]) ).
cnf(refute_0_23596,plain,
and(t7,not(xor(t5,or(b,t6)))) = and(t7,not(xor(t5,or(b,t6)))),
introduced(tautology,[refl,[$fot(and(t7,not(xor(t5,or(b,t6)))))]]) ).
cnf(refute_0_23597,plain,
( and(t7,not(xor(t5,or(b,t6)))) != and(t7,not(xor(t5,or(b,t6))))
| not(xor(t5,or(b,t6))) != and(t2,t5)
| and(t7,not(xor(t5,or(b,t6)))) = and(t7,and(t2,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t7,not(xor(t5,or(b,t6)))),and(t7,not(xor(t5,or(b,t6))))) ),[1,1],$fot(and(t2,t5))]]) ).
cnf(refute_0_23598,plain,
( not(xor(t5,or(b,t6))) != and(t2,t5)
| and(t7,not(xor(t5,or(b,t6)))) = and(t7,and(t2,t5)) ),
inference(resolve,[$cnf( $equal(and(t7,not(xor(t5,or(b,t6)))),and(t7,not(xor(t5,or(b,t6))))) )],[refute_0_23596,refute_0_23597]) ).
cnf(refute_0_23599,plain,
and(t7,not(xor(t5,or(b,t6)))) = and(t7,and(t2,t5)),
inference(resolve,[$cnf( $equal(not(xor(t5,or(b,t6))),and(t2,t5)) )],[refute_0_23595,refute_0_23598]) ).
cnf(refute_0_23600,plain,
( and(t7,and(t2,t5)) != and(t2,not(cin))
| and(t7,not(xor(t5,or(b,t6)))) != and(t7,and(t2,t5))
| and(t7,not(xor(t5,or(b,t6)))) = and(t2,not(cin)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t7,not(xor(t5,or(b,t6)))))),bind(Y0,$fot(and(t7,and(t2,t5)))),bind(Z0,$fot(and(t2,not(cin))))]]) ).
cnf(refute_0_23601,plain,
( and(t7,and(t2,t5)) != and(t2,not(cin))
| and(t7,not(xor(t5,or(b,t6)))) = and(t2,not(cin)) ),
inference(resolve,[$cnf( $equal(and(t7,not(xor(t5,or(b,t6)))),and(t7,and(t2,t5))) )],[refute_0_23599,refute_0_23600]) ).
cnf(refute_0_23602,plain,
and(t7,not(xor(t5,or(b,t6)))) = and(t2,not(cin)),
inference(resolve,[$cnf( $equal(and(t7,and(t2,t5)),and(t2,not(cin))) )],[refute_0_23415,refute_0_23601]) ).
cnf(refute_0_23603,plain,
( and(t7,not(xor(t5,or(b,t6)))) != and(t2,not(cin))
| and(t7,not(xor(t5,or(b,t6)))) != xor(cin,or(b,t6))
| and(t2,not(cin)) = xor(cin,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t7,not(xor(t5,or(b,t6)))),xor(cin,or(b,t6))) ),[0],$fot(and(t2,not(cin)))]]) ).
cnf(refute_0_23604,plain,
( and(t7,not(xor(t5,or(b,t6)))) != xor(cin,or(b,t6))
| and(t2,not(cin)) = xor(cin,or(b,t6)) ),
inference(resolve,[$cnf( $equal(and(t7,not(xor(t5,or(b,t6)))),and(t2,not(cin))) )],[refute_0_23602,refute_0_23603]) ).
cnf(refute_0_23605,plain,
and(t2,not(cin)) = xor(cin,or(b,t6)),
inference(resolve,[$cnf( $equal(and(t7,not(xor(t5,or(b,t6)))),xor(cin,or(b,t6))) )],[refute_0_23403,refute_0_23604]) ).
cnf(refute_0_23606,plain,
( and(t2,not(cin)) != xor(cin,or(b,t6))
| xor(cin,or(b,t6)) = and(t2,not(cin)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t2,not(cin)))),bind(Y0,$fot(xor(cin,or(b,t6))))]]) ).
cnf(refute_0_23607,plain,
xor(cin,or(b,t6)) = and(t2,not(cin)),
inference(resolve,[$cnf( $equal(and(t2,not(cin)),xor(cin,or(b,t6))) )],[refute_0_23605,refute_0_23606]) ).
cnf(refute_0_23608,plain,
and(not(t6),xor(cin,or(b,t6))) = and(not(t6),xor(cin,or(b,t6))),
introduced(tautology,[refl,[$fot(and(not(t6),xor(cin,or(b,t6))))]]) ).
cnf(refute_0_23609,plain,
( and(not(t6),xor(cin,or(b,t6))) != and(not(t6),xor(cin,or(b,t6)))
| xor(cin,or(b,t6)) != and(t2,not(cin))
| and(not(t6),xor(cin,or(b,t6))) = and(not(t6),and(t2,not(cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),xor(cin,or(b,t6))),and(not(t6),xor(cin,or(b,t6)))) ),[1,1],$fot(and(t2,not(cin)))]]) ).
cnf(refute_0_23610,plain,
( xor(cin,or(b,t6)) != and(t2,not(cin))
| and(not(t6),xor(cin,or(b,t6))) = and(not(t6),and(t2,not(cin))) ),
inference(resolve,[$cnf( $equal(and(not(t6),xor(cin,or(b,t6))),and(not(t6),xor(cin,or(b,t6)))) )],[refute_0_23608,refute_0_23609]) ).
cnf(refute_0_23611,plain,
and(not(t6),xor(cin,or(b,t6))) = and(not(t6),and(t2,not(cin))),
inference(resolve,[$cnf( $equal(xor(cin,or(b,t6)),and(t2,not(cin))) )],[refute_0_23607,refute_0_23610]) ).
cnf(refute_0_23612,plain,
( and(not(t6),and(t2,not(cin))) != and(t2,not(t6))
| and(not(t6),xor(cin,or(b,t6))) != and(not(t6),and(t2,not(cin)))
| and(not(t6),xor(cin,or(b,t6))) = and(t2,not(t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t6),xor(cin,or(b,t6))))),bind(Y0,$fot(and(not(t6),and(t2,not(cin))))),bind(Z0,$fot(and(t2,not(t6))))]]) ).
cnf(refute_0_23613,plain,
( and(not(t6),and(t2,not(cin))) != and(t2,not(t6))
| and(not(t6),xor(cin,or(b,t6))) = and(t2,not(t6)) ),
inference(resolve,[$cnf( $equal(and(not(t6),xor(cin,or(b,t6))),and(not(t6),and(t2,not(cin)))) )],[refute_0_23611,refute_0_23612]) ).
cnf(refute_0_23614,plain,
and(not(t6),xor(cin,or(b,t6))) = and(t2,not(t6)),
inference(resolve,[$cnf( $equal(and(not(t6),and(t2,not(cin))),and(t2,not(t6))) )],[refute_0_23315,refute_0_23613]) ).
cnf(refute_0_23615,plain,
( and(not(t6),xor(cin,or(b,t6))) != and(t2,not(t6))
| and(not(t6),xor(cin,or(b,t6))) != and(t4,xor(cin,or(b,t6)))
| and(t2,not(t6)) = and(t4,xor(cin,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),xor(cin,or(b,t6))),and(t4,xor(cin,or(b,t6)))) ),[0],$fot(and(t2,not(t6)))]]) ).
cnf(refute_0_23616,plain,
( and(not(t6),xor(cin,or(b,t6))) != and(t4,xor(cin,or(b,t6)))
| and(t2,not(t6)) = and(t4,xor(cin,or(b,t6))) ),
inference(resolve,[$cnf( $equal(and(not(t6),xor(cin,or(b,t6))),and(t2,not(t6))) )],[refute_0_23614,refute_0_23615]) ).
cnf(refute_0_23617,plain,
and(not(cin),not(t3)) = not(or(cin,t3)),
inference(subst,[],[refute_0_101:[bind(X,$fot(cin)),bind(Y,$fot(t3))]]) ).
cnf(refute_0_23618,plain,
and(not(t3),not(cin)) = and(not(cin),not(t3)),
inference(subst,[],[refute_0_4252:[bind(X_14,$fot(not(cin))),bind(X_669,$fot(not(t3)))]]) ).
cnf(refute_0_23619,plain,
( and(not(cin),not(t3)) != not(or(cin,t3))
| and(not(t3),not(cin)) != and(not(cin),not(t3))
| and(not(t3),not(cin)) = not(or(cin,t3)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t3),not(cin)))),bind(Y0,$fot(and(not(cin),not(t3)))),bind(Z0,$fot(not(or(cin,t3))))]]) ).
cnf(refute_0_23620,plain,
( and(not(cin),not(t3)) != not(or(cin,t3))
| and(not(t3),not(cin)) = not(or(cin,t3)) ),
inference(resolve,[$cnf( $equal(and(not(t3),not(cin)),and(not(cin),not(t3))) )],[refute_0_23618,refute_0_23619]) ).
cnf(refute_0_23621,plain,
and(not(t3),not(cin)) = not(or(cin,t3)),
inference(resolve,[$cnf( $equal(and(not(cin),not(t3)),not(or(cin,t3))) )],[refute_0_23617,refute_0_23620]) ).
cnf(refute_0_23622,plain,
and(and(t2,t4),Z) = and(t2,and(t4,Z)),
inference(subst,[],[and_associative:[bind(X,$fot(t2)),bind(Y,$fot(t4))]]) ).
cnf(refute_0_23623,plain,
( and(and(t2,t4),Z) != and(t2,and(t4,Z))
| and(t2,t4) != not(t3)
| and(not(t3),Z) = and(t2,and(t4,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t2,t4),Z),and(t2,and(t4,Z))) ),[0,0],$fot(not(t3))]]) ).
cnf(refute_0_23624,plain,
( and(and(t2,t4),Z) != and(t2,and(t4,Z))
| and(not(t3),Z) = and(t2,and(t4,Z)) ),
inference(resolve,[$cnf( $equal(and(t2,t4),not(t3)) )],[refute_0_9619,refute_0_23623]) ).
cnf(refute_0_23625,plain,
and(not(t3),Z) = and(t2,and(t4,Z)),
inference(resolve,[$cnf( $equal(and(and(t2,t4),Z),and(t2,and(t4,Z))) )],[refute_0_23622,refute_0_23624]) ).
cnf(refute_0_23626,plain,
( and(not(t3),Z) != and(t2,and(t4,Z))
| and(t2,and(t4,Z)) = and(not(t3),Z) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t3),Z))),bind(Y0,$fot(and(t2,and(t4,Z))))]]) ).
cnf(refute_0_23627,plain,
and(t2,and(t4,Z)) = and(not(t3),Z),
inference(resolve,[$cnf( $equal(and(not(t3),Z),and(t2,and(t4,Z))) )],[refute_0_23625,refute_0_23626]) ).
cnf(refute_0_23628,plain,
and(t2,and(t4,not(cin))) = and(not(t3),not(cin)),
inference(subst,[],[refute_0_23627:[bind(Z,$fot(not(cin)))]]) ).
cnf(refute_0_23629,plain,
( and(not(t3),not(cin)) != not(or(cin,t3))
| and(t2,and(t4,not(cin))) != and(not(t3),not(cin))
| and(t2,and(t4,not(cin))) = not(or(cin,t3)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t2,and(t4,not(cin))))),bind(Y0,$fot(and(not(t3),not(cin)))),bind(Z0,$fot(not(or(cin,t3))))]]) ).
cnf(refute_0_23630,plain,
( and(not(t3),not(cin)) != not(or(cin,t3))
| and(t2,and(t4,not(cin))) = not(or(cin,t3)) ),
inference(resolve,[$cnf( $equal(and(t2,and(t4,not(cin))),and(not(t3),not(cin))) )],[refute_0_23628,refute_0_23629]) ).
cnf(refute_0_23631,plain,
and(t2,and(t4,not(cin))) = not(or(cin,t3)),
inference(resolve,[$cnf( $equal(and(not(t3),not(cin)),not(or(cin,t3))) )],[refute_0_23621,refute_0_23630]) ).
cnf(refute_0_23632,plain,
( and(t2,and(t4,not(cin))) != not(or(cin,t3))
| not(or(cin,t3)) != not(or(a,t6))
| and(t2,and(t4,not(cin))) = not(or(a,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t2,and(t4,not(cin))))),bind(Y0,$fot(not(or(cin,t3)))),bind(Z0,$fot(not(or(a,t6))))]]) ).
cnf(refute_0_23633,plain,
( not(or(cin,t3)) != not(or(a,t6))
| and(t2,and(t4,not(cin))) = not(or(a,t6)) ),
inference(resolve,[$cnf( $equal(and(t2,and(t4,not(cin))),not(or(cin,t3))) )],[refute_0_23631,refute_0_23632]) ).
cnf(refute_0_23634,plain,
and(t2,and(t4,not(cin))) = not(or(a,t6)),
inference(resolve,[$cnf( $equal(not(or(cin,t3)),not(or(a,t6))) )],[refute_0_18054,refute_0_23633]) ).
cnf(refute_0_23635,plain,
and(t4,and(t2,not(cin))) = and(t2,and(t4,not(cin))),
inference(subst,[],[refute_0_4220:[bind(X,$fot(t2)),bind(Z,$fot(not(cin))),bind(X_669,$fot(t4))]]) ).
cnf(refute_0_23636,plain,
( and(t2,and(t4,not(cin))) != not(or(a,t6))
| and(t4,and(t2,not(cin))) != and(t2,and(t4,not(cin)))
| and(t4,and(t2,not(cin))) = not(or(a,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t4,and(t2,not(cin))))),bind(Y0,$fot(and(t2,and(t4,not(cin))))),bind(Z0,$fot(not(or(a,t6))))]]) ).
cnf(refute_0_23637,plain,
( and(t2,and(t4,not(cin))) != not(or(a,t6))
| and(t4,and(t2,not(cin))) = not(or(a,t6)) ),
inference(resolve,[$cnf( $equal(and(t4,and(t2,not(cin))),and(t2,and(t4,not(cin)))) )],[refute_0_23635,refute_0_23636]) ).
cnf(refute_0_23638,plain,
and(t4,and(t2,not(cin))) = not(or(a,t6)),
inference(resolve,[$cnf( $equal(and(t2,and(t4,not(cin))),not(or(a,t6))) )],[refute_0_23634,refute_0_23637]) ).
cnf(refute_0_23639,plain,
and(t4,xor(cin,or(b,t6))) = and(t4,xor(cin,or(b,t6))),
introduced(tautology,[refl,[$fot(and(t4,xor(cin,or(b,t6))))]]) ).
cnf(refute_0_23640,plain,
( and(t4,xor(cin,or(b,t6))) != and(t4,xor(cin,or(b,t6)))
| xor(cin,or(b,t6)) != and(t2,not(cin))
| and(t4,xor(cin,or(b,t6))) = and(t4,and(t2,not(cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,xor(cin,or(b,t6))),and(t4,xor(cin,or(b,t6)))) ),[1,1],$fot(and(t2,not(cin)))]]) ).
cnf(refute_0_23641,plain,
( xor(cin,or(b,t6)) != and(t2,not(cin))
| and(t4,xor(cin,or(b,t6))) = and(t4,and(t2,not(cin))) ),
inference(resolve,[$cnf( $equal(and(t4,xor(cin,or(b,t6))),and(t4,xor(cin,or(b,t6)))) )],[refute_0_23639,refute_0_23640]) ).
cnf(refute_0_23642,plain,
and(t4,xor(cin,or(b,t6))) = and(t4,and(t2,not(cin))),
inference(resolve,[$cnf( $equal(xor(cin,or(b,t6)),and(t2,not(cin))) )],[refute_0_23607,refute_0_23641]) ).
cnf(refute_0_23643,plain,
( and(t4,and(t2,not(cin))) != not(or(a,t6))
| and(t4,xor(cin,or(b,t6))) != and(t4,and(t2,not(cin)))
| and(t4,xor(cin,or(b,t6))) = not(or(a,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t4,xor(cin,or(b,t6))))),bind(Y0,$fot(and(t4,and(t2,not(cin))))),bind(Z0,$fot(not(or(a,t6))))]]) ).
cnf(refute_0_23644,plain,
( and(t4,and(t2,not(cin))) != not(or(a,t6))
| and(t4,xor(cin,or(b,t6))) = not(or(a,t6)) ),
inference(resolve,[$cnf( $equal(and(t4,xor(cin,or(b,t6))),and(t4,and(t2,not(cin)))) )],[refute_0_23642,refute_0_23643]) ).
cnf(refute_0_23645,plain,
and(t4,xor(cin,or(b,t6))) = not(or(a,t6)),
inference(resolve,[$cnf( $equal(and(t4,and(t2,not(cin))),not(or(a,t6))) )],[refute_0_23638,refute_0_23644]) ).
cnf(refute_0_23646,plain,
( and(t2,not(t6)) != and(t4,xor(cin,or(b,t6)))
| and(t4,xor(cin,or(b,t6))) != not(or(a,t6))
| and(t2,not(t6)) = not(or(a,t6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t2,not(t6)),not(or(a,t6))) ),[0],$fot(and(t4,xor(cin,or(b,t6))))]]) ).
cnf(refute_0_23647,plain,
( and(t2,not(t6)) != and(t4,xor(cin,or(b,t6)))
| and(t2,not(t6)) = not(or(a,t6)) ),
inference(resolve,[$cnf( $equal(and(t4,xor(cin,or(b,t6))),not(or(a,t6))) )],[refute_0_23645,refute_0_23646]) ).
cnf(refute_0_23648,plain,
( and(not(t6),xor(cin,or(b,t6))) != and(t4,xor(cin,or(b,t6)))
| and(t2,not(t6)) = not(or(a,t6)) ),
inference(resolve,[$cnf( $equal(and(t2,not(t6)),and(t4,xor(cin,or(b,t6)))) )],[refute_0_23616,refute_0_23647]) ).
cnf(refute_0_23649,plain,
and(t2,not(t6)) = not(or(a,t6)),
inference(resolve,[$cnf( $equal(and(not(t6),xor(cin,or(b,t6))),and(t4,xor(cin,or(b,t6)))) )],[refute_0_23297,refute_0_23648]) ).
cnf(refute_0_23650,plain,
xor(t7,and(t2,not(t6))) = xor(t7,and(t2,not(t6))),
introduced(tautology,[refl,[$fot(xor(t7,and(t2,not(t6))))]]) ).
cnf(refute_0_23651,plain,
( and(t2,not(t6)) != not(or(a,t6))
| xor(t7,and(t2,not(t6))) != xor(t7,and(t2,not(t6)))
| xor(t7,and(t2,not(t6))) = xor(t7,not(or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t7,and(t2,not(t6))),xor(t7,and(t2,not(t6)))) ),[1,1],$fot(not(or(a,t6)))]]) ).
cnf(refute_0_23652,plain,
( and(t2,not(t6)) != not(or(a,t6))
| xor(t7,and(t2,not(t6))) = xor(t7,not(or(a,t6))) ),
inference(resolve,[$cnf( $equal(xor(t7,and(t2,not(t6))),xor(t7,and(t2,not(t6)))) )],[refute_0_23650,refute_0_23651]) ).
cnf(refute_0_23653,plain,
xor(t7,and(t2,not(t6))) = xor(t7,not(or(a,t6))),
inference(resolve,[$cnf( $equal(and(t2,not(t6)),not(or(a,t6))) )],[refute_0_23649,refute_0_23652]) ).
cnf(refute_0_23654,plain,
( xor(t7,and(t2,not(t6))) != xor(t7,not(or(a,t6)))
| xor(t7,not(or(a,t6))) != not(and(sum,or(b,t6)))
| xor(t7,and(t2,not(t6))) = not(and(sum,or(b,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t7,and(t2,not(t6))))),bind(Y0,$fot(xor(t7,not(or(a,t6))))),bind(Z0,$fot(not(and(sum,or(b,t6)))))]]) ).
cnf(refute_0_23655,plain,
( xor(t7,not(or(a,t6))) != not(and(sum,or(b,t6)))
| xor(t7,and(t2,not(t6))) = not(and(sum,or(b,t6))) ),
inference(resolve,[$cnf( $equal(xor(t7,and(t2,not(t6))),xor(t7,not(or(a,t6)))) )],[refute_0_23653,refute_0_23654]) ).
cnf(refute_0_23656,plain,
xor(t7,and(t2,not(t6))) = not(and(sum,or(b,t6))),
inference(resolve,[$cnf( $equal(xor(t7,not(or(a,t6))),not(and(sum,or(b,t6)))) )],[refute_0_23148,refute_0_23655]) ).
cnf(refute_0_23657,plain,
( xor(t2,xor(t7,and(t2,t6))) != xor(t7,and(t2,not(t6)))
| xor(t7,and(t2,not(t6))) != not(and(sum,or(b,t6)))
| xor(t2,xor(t7,and(t2,t6))) = not(and(sum,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(t2,xor(t7,and(t2,t6))),not(and(sum,or(b,t6)))) ),[0],$fot(xor(t7,and(t2,not(t6))))]]) ).
cnf(refute_0_23658,plain,
( xor(t2,xor(t7,and(t2,t6))) != xor(t7,and(t2,not(t6)))
| xor(t2,xor(t7,and(t2,t6))) = not(and(sum,or(b,t6))) ),
inference(resolve,[$cnf( $equal(xor(t7,and(t2,not(t6))),not(and(sum,or(b,t6)))) )],[refute_0_23656,refute_0_23657]) ).
cnf(refute_0_23659,plain,
xor(t2,xor(t7,and(t2,t6))) = not(and(sum,or(b,t6))),
inference(resolve,[$cnf( $equal(xor(t2,xor(t7,and(t2,t6))),xor(t7,and(t2,not(t6)))) )],[refute_0_23140,refute_0_23658]) ).
cnf(refute_0_23660,plain,
not(and(t2,sum)) = not(and(sum,t2)),
inference(subst,[],[refute_0_333:[bind(X_31,$fot(t2)),bind(X_32,$fot(sum))]]) ).
cnf(refute_0_23661,plain,
xor(t2,or(sum,not(t2))) = not(and(t2,sum)),
inference(subst,[],[refute_0_20443:[bind(X_20,$fot(sum)),bind(X_63,$fot(t2))]]) ).
cnf(refute_0_23662,plain,
( not(and(t2,sum)) != not(and(sum,t2))
| xor(t2,or(sum,not(t2))) != not(and(t2,sum))
| xor(t2,or(sum,not(t2))) = not(and(sum,t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,or(sum,not(t2))))),bind(Y0,$fot(not(and(t2,sum)))),bind(Z0,$fot(not(and(sum,t2))))]]) ).
cnf(refute_0_23663,plain,
( not(and(t2,sum)) != not(and(sum,t2))
| xor(t2,or(sum,not(t2))) = not(and(sum,t2)) ),
inference(resolve,[$cnf( $equal(xor(t2,or(sum,not(t2))),not(and(t2,sum))) )],[refute_0_23661,refute_0_23662]) ).
cnf(refute_0_23664,plain,
xor(t2,or(sum,not(t2))) = not(and(sum,t2)),
inference(resolve,[$cnf( $equal(not(and(t2,sum)),not(and(sum,t2))) )],[refute_0_23660,refute_0_23663]) ).
cnf(refute_0_23665,plain,
xor(t2,xor(t2,xor(t7,and(t2,t6)))) = xor(t7,and(t2,t6)),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(t2)),bind(X_335,$fot(xor(t7,and(t2,t6))))]]) ).
cnf(refute_0_23666,plain,
( xor(t2,xor(t2,xor(t7,and(t2,t6)))) != xor(t7,and(t2,t6))
| xor(t2,xor(t7,and(t2,t6))) != xor(t7,and(t2,not(t6)))
| xor(t2,xor(t7,and(t2,not(t6)))) = xor(t7,and(t2,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,xor(t2,xor(t7,and(t2,t6)))),xor(t7,and(t2,t6))) ),[0,1],$fot(xor(t7,and(t2,not(t6))))]]) ).
cnf(refute_0_23667,plain,
( xor(t2,xor(t2,xor(t7,and(t2,t6)))) != xor(t7,and(t2,t6))
| xor(t2,xor(t7,and(t2,not(t6)))) = xor(t7,and(t2,t6)) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t7,and(t2,t6))),xor(t7,and(t2,not(t6)))) )],[refute_0_23140,refute_0_23666]) ).
cnf(refute_0_23668,plain,
xor(t2,xor(t7,and(t2,not(t6)))) = xor(t7,and(t2,t6)),
inference(resolve,[$cnf( $equal(xor(t2,xor(t2,xor(t7,and(t2,t6)))),xor(t7,and(t2,t6))) )],[refute_0_23665,refute_0_23667]) ).
cnf(refute_0_23669,plain,
or(or(X,not(t6)),or(and(cin,sum),xor(sum,and(cin,sum)))) = or(X,or(not(t6),or(and(cin,sum),xor(sum,and(cin,sum))))),
inference(subst,[],[or_associative:[bind(Y,$fot(not(t6))),bind(Z,$fot(or(and(cin,sum),xor(sum,and(cin,sum)))))]]) ).
cnf(refute_0_23670,plain,
or(not(xor(t6,and(cin,sum))),and(t7,not(xor(t6,and(cin,sum))))) = not(xor(t6,and(cin,sum))),
inference(subst,[],[refute_0_222:[bind(X_13,$fot(not(xor(t6,and(cin,sum))))),bind(X_14,$fot(t7))]]) ).
cnf(refute_0_23671,plain,
( and(t7,not(xor(t6,and(cin,sum)))) != xor(sum,and(cin,sum))
| or(not(xor(t6,and(cin,sum))),and(t7,not(xor(t6,and(cin,sum))))) != not(xor(t6,and(cin,sum)))
| or(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum))) = not(xor(t6,and(cin,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(xor(t6,and(cin,sum))),and(t7,not(xor(t6,and(cin,sum))))),not(xor(t6,and(cin,sum)))) ),[0,1],$fot(xor(sum,and(cin,sum)))]]) ).
cnf(refute_0_23672,plain,
( or(not(xor(t6,and(cin,sum))),and(t7,not(xor(t6,and(cin,sum))))) != not(xor(t6,and(cin,sum)))
| or(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum))) = not(xor(t6,and(cin,sum))) ),
inference(resolve,[$cnf( $equal(and(t7,not(xor(t6,and(cin,sum)))),xor(sum,and(cin,sum))) )],[refute_0_6204,refute_0_23671]) ).
cnf(refute_0_23673,plain,
or(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum))) = not(xor(t6,and(cin,sum))),
inference(resolve,[$cnf( $equal(or(not(xor(t6,and(cin,sum))),and(t7,not(xor(t6,and(cin,sum))))),not(xor(t6,and(cin,sum)))) )],[refute_0_23670,refute_0_23672]) ).
cnf(refute_0_23674,plain,
or(or(not(t6),and(cin,X_433)),Z) = or(not(t6),or(and(cin,X_433),Z)),
inference(subst,[],[or_associative:[bind(X,$fot(not(t6))),bind(Y,$fot(and(cin,X_433)))]]) ).
cnf(refute_0_23675,plain,
not(xor(t6,and(cin,X_433))) = or(not(t6),and(cin,X_433)),
inference(subst,[],[refute_0_6126:[bind(X_74,$fot(X_433))]]) ).
cnf(refute_0_23676,plain,
( not(xor(t6,and(cin,X_433))) != or(not(t6),and(cin,X_433))
| or(not(t6),and(cin,X_433)) = not(xor(t6,and(cin,X_433))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(xor(t6,and(cin,X_433))))),bind(Y0,$fot(or(not(t6),and(cin,X_433))))]]) ).
cnf(refute_0_23677,plain,
or(not(t6),and(cin,X_433)) = not(xor(t6,and(cin,X_433))),
inference(resolve,[$cnf( $equal(not(xor(t6,and(cin,X_433))),or(not(t6),and(cin,X_433))) )],[refute_0_23675,refute_0_23676]) ).
cnf(refute_0_23678,plain,
( or(not(t6),and(cin,X_433)) != not(xor(t6,and(cin,X_433)))
| or(or(not(t6),and(cin,X_433)),Z) != or(not(t6),or(and(cin,X_433),Z))
| or(not(xor(t6,and(cin,X_433))),Z) = or(not(t6),or(and(cin,X_433),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(not(t6),and(cin,X_433)),Z),or(not(t6),or(and(cin,X_433),Z))) ),[0,0],$fot(not(xor(t6,and(cin,X_433))))]]) ).
cnf(refute_0_23679,plain,
( or(or(not(t6),and(cin,X_433)),Z) != or(not(t6),or(and(cin,X_433),Z))
| or(not(xor(t6,and(cin,X_433))),Z) = or(not(t6),or(and(cin,X_433),Z)) ),
inference(resolve,[$cnf( $equal(or(not(t6),and(cin,X_433)),not(xor(t6,and(cin,X_433)))) )],[refute_0_23677,refute_0_23678]) ).
cnf(refute_0_23680,plain,
or(not(xor(t6,and(cin,X_433))),Z) = or(not(t6),or(and(cin,X_433),Z)),
inference(resolve,[$cnf( $equal(or(or(not(t6),and(cin,X_433)),Z),or(not(t6),or(and(cin,X_433),Z))) )],[refute_0_23674,refute_0_23679]) ).
cnf(refute_0_23681,plain,
or(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum))) = or(not(t6),or(and(cin,sum),xor(sum,and(cin,sum)))),
inference(subst,[],[refute_0_23680:[bind(Z,$fot(xor(sum,and(cin,sum)))),bind(X_433,$fot(sum))]]) ).
cnf(refute_0_23682,plain,
( or(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum))) != not(xor(t6,and(cin,sum)))
| or(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum))) != or(not(t6),or(and(cin,sum),xor(sum,and(cin,sum))))
| or(not(t6),or(and(cin,sum),xor(sum,and(cin,sum)))) = not(xor(t6,and(cin,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum))),not(xor(t6,and(cin,sum)))) ),[0],$fot(or(not(t6),or(and(cin,sum),xor(sum,and(cin,sum)))))]]) ).
cnf(refute_0_23683,plain,
( or(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum))) != not(xor(t6,and(cin,sum)))
| or(not(t6),or(and(cin,sum),xor(sum,and(cin,sum)))) = not(xor(t6,and(cin,sum))) ),
inference(resolve,[$cnf( $equal(or(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum))),or(not(t6),or(and(cin,sum),xor(sum,and(cin,sum))))) )],[refute_0_23681,refute_0_23682]) ).
cnf(refute_0_23684,plain,
or(not(t6),or(and(cin,sum),xor(sum,and(cin,sum)))) = not(xor(t6,and(cin,sum))),
inference(resolve,[$cnf( $equal(or(not(xor(t6,and(cin,sum))),xor(sum,and(cin,sum))),not(xor(t6,and(cin,sum)))) )],[refute_0_23673,refute_0_23683]) ).
cnf(refute_0_23685,plain,
( or(not(t6),or(and(cin,sum),xor(sum,and(cin,sum)))) != not(xor(t6,and(cin,sum)))
| or(or(X,not(t6)),or(and(cin,sum),xor(sum,and(cin,sum)))) != or(X,or(not(t6),or(and(cin,sum),xor(sum,and(cin,sum)))))
| or(or(X,not(t6)),or(and(cin,sum),xor(sum,and(cin,sum)))) = or(X,not(xor(t6,and(cin,sum)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(X,not(t6)),or(and(cin,sum),xor(sum,and(cin,sum)))),or(X,or(not(t6),or(and(cin,sum),xor(sum,and(cin,sum)))))) ),[1,1],$fot(not(xor(t6,and(cin,sum))))]]) ).
cnf(refute_0_23686,plain,
( or(or(X,not(t6)),or(and(cin,sum),xor(sum,and(cin,sum)))) != or(X,or(not(t6),or(and(cin,sum),xor(sum,and(cin,sum)))))
| or(or(X,not(t6)),or(and(cin,sum),xor(sum,and(cin,sum)))) = or(X,not(xor(t6,and(cin,sum)))) ),
inference(resolve,[$cnf( $equal(or(not(t6),or(and(cin,sum),xor(sum,and(cin,sum)))),not(xor(t6,and(cin,sum)))) )],[refute_0_23684,refute_0_23685]) ).
cnf(refute_0_23687,plain,
or(or(X,not(t6)),or(and(cin,sum),xor(sum,and(cin,sum)))) = or(X,not(xor(t6,and(cin,sum)))),
inference(resolve,[$cnf( $equal(or(or(X,not(t6)),or(and(cin,sum),xor(sum,and(cin,sum)))),or(X,or(not(t6),or(and(cin,sum),xor(sum,and(cin,sum)))))) )],[refute_0_23669,refute_0_23686]) ).
cnf(refute_0_23688,plain,
or(or(X,not(t6)),xor(sum,and(cin,sum))) = or(X,or(not(t6),xor(sum,and(cin,sum)))),
inference(subst,[],[or_associative:[bind(Y,$fot(not(t6))),bind(Z,$fot(xor(sum,and(cin,sum))))]]) ).
cnf(refute_0_23689,plain,
or(and(cin,sum),or(or(X,not(t6)),xor(sum,and(cin,sum)))) = or(and(cin,sum),or(or(X,not(t6)),xor(sum,and(cin,sum)))),
introduced(tautology,[refl,[$fot(or(and(cin,sum),or(or(X,not(t6)),xor(sum,and(cin,sum)))))]]) ).
cnf(refute_0_23690,plain,
( or(and(cin,sum),or(or(X,not(t6)),xor(sum,and(cin,sum)))) != or(and(cin,sum),or(or(X,not(t6)),xor(sum,and(cin,sum))))
| or(or(X,not(t6)),xor(sum,and(cin,sum))) != or(X,or(not(t6),xor(sum,and(cin,sum))))
| or(and(cin,sum),or(or(X,not(t6)),xor(sum,and(cin,sum)))) = or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(cin,sum),or(or(X,not(t6)),xor(sum,and(cin,sum)))),or(and(cin,sum),or(or(X,not(t6)),xor(sum,and(cin,sum))))) ),[1,1],$fot(or(X,or(not(t6),xor(sum,and(cin,sum)))))]]) ).
cnf(refute_0_23691,plain,
( or(or(X,not(t6)),xor(sum,and(cin,sum))) != or(X,or(not(t6),xor(sum,and(cin,sum))))
| or(and(cin,sum),or(or(X,not(t6)),xor(sum,and(cin,sum)))) = or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))) ),
inference(resolve,[$cnf( $equal(or(and(cin,sum),or(or(X,not(t6)),xor(sum,and(cin,sum)))),or(and(cin,sum),or(or(X,not(t6)),xor(sum,and(cin,sum))))) )],[refute_0_23689,refute_0_23690]) ).
cnf(refute_0_23692,plain,
or(and(cin,sum),or(or(X,not(t6)),xor(sum,and(cin,sum)))) = or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))),
inference(resolve,[$cnf( $equal(or(or(X,not(t6)),xor(sum,and(cin,sum))),or(X,or(not(t6),xor(sum,and(cin,sum))))) )],[refute_0_23688,refute_0_23691]) ).
cnf(refute_0_23693,plain,
or(or(X,not(t6)),or(and(cin,sum),xor(sum,and(cin,sum)))) = or(and(cin,sum),or(or(X,not(t6)),xor(sum,and(cin,sum)))),
inference(subst,[],[refute_0_267:[bind(X_37,$fot(or(X,not(t6)))),bind(X_38,$fot(and(cin,sum))),bind(X_39,$fot(xor(sum,and(cin,sum))))]]) ).
cnf(refute_0_23694,plain,
( or(and(cin,sum),or(or(X,not(t6)),xor(sum,and(cin,sum)))) != or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum)))))
| or(or(X,not(t6)),or(and(cin,sum),xor(sum,and(cin,sum)))) != or(and(cin,sum),or(or(X,not(t6)),xor(sum,and(cin,sum))))
| or(or(X,not(t6)),or(and(cin,sum),xor(sum,and(cin,sum)))) = or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(or(X,not(t6)),or(and(cin,sum),xor(sum,and(cin,sum)))))),bind(Y0,$fot(or(and(cin,sum),or(or(X,not(t6)),xor(sum,and(cin,sum)))))),bind(Z0,$fot(or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum)))))))]]) ).
cnf(refute_0_23695,plain,
( or(and(cin,sum),or(or(X,not(t6)),xor(sum,and(cin,sum)))) != or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum)))))
| or(or(X,not(t6)),or(and(cin,sum),xor(sum,and(cin,sum)))) = or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))) ),
inference(resolve,[$cnf( $equal(or(or(X,not(t6)),or(and(cin,sum),xor(sum,and(cin,sum)))),or(and(cin,sum),or(or(X,not(t6)),xor(sum,and(cin,sum))))) )],[refute_0_23693,refute_0_23694]) ).
cnf(refute_0_23696,plain,
or(or(X,not(t6)),or(and(cin,sum),xor(sum,and(cin,sum)))) = or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))),
inference(resolve,[$cnf( $equal(or(and(cin,sum),or(or(X,not(t6)),xor(sum,and(cin,sum)))),or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum)))))) )],[refute_0_23692,refute_0_23695]) ).
cnf(refute_0_23697,plain,
( or(or(X,not(t6)),or(and(cin,sum),xor(sum,and(cin,sum)))) != or(X,not(xor(t6,and(cin,sum))))
| or(or(X,not(t6)),or(and(cin,sum),xor(sum,and(cin,sum)))) != or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum)))))
| or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))) = or(X,not(xor(t6,and(cin,sum)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(X,not(t6)),or(and(cin,sum),xor(sum,and(cin,sum)))),or(X,not(xor(t6,and(cin,sum))))) ),[0],$fot(or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))))]]) ).
cnf(refute_0_23698,plain,
( or(or(X,not(t6)),or(and(cin,sum),xor(sum,and(cin,sum)))) != or(X,not(xor(t6,and(cin,sum))))
| or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))) = or(X,not(xor(t6,and(cin,sum)))) ),
inference(resolve,[$cnf( $equal(or(or(X,not(t6)),or(and(cin,sum),xor(sum,and(cin,sum)))),or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum)))))) )],[refute_0_23696,refute_0_23697]) ).
cnf(refute_0_23699,plain,
or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))) = or(X,not(xor(t6,and(cin,sum)))),
inference(resolve,[$cnf( $equal(or(or(X,not(t6)),or(and(cin,sum),xor(sum,and(cin,sum)))),or(X,not(xor(t6,and(cin,sum))))) )],[refute_0_23687,refute_0_23698]) ).
cnf(refute_0_23700,plain,
or(not(and(t6,t7)),X) = or(not(and(t6,t7)),X),
introduced(tautology,[refl,[$fot(or(not(and(t6,t7)),X))]]) ).
cnf(refute_0_23701,plain,
( not(and(t6,t7)) != sum
| or(not(and(t6,t7)),X) != or(not(and(t6,t7)),X)
| or(not(and(t6,t7)),X) = or(sum,X) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(and(t6,t7)),X),or(not(and(t6,t7)),X)) ),[1,0],$fot(sum)]]) ).
cnf(refute_0_23702,plain,
( not(and(t6,t7)) != sum
| or(not(and(t6,t7)),X) = or(sum,X) ),
inference(resolve,[$cnf( $equal(or(not(and(t6,t7)),X),or(not(and(t6,t7)),X)) )],[refute_0_23700,refute_0_23701]) ).
cnf(refute_0_23703,plain,
or(not(and(t6,t7)),X) = or(sum,X),
inference(resolve,[$cnf( $equal(not(and(t6,t7)),sum) )],[sum,refute_0_23702]) ).
cnf(refute_0_23704,plain,
or(or(not(X),not(Y)),X_39) = or(not(X),or(not(Y),X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(not(X))),bind(Y,$fot(not(Y))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_23705,plain,
( or(not(X),not(Y)) != not(and(X,Y))
| or(or(not(X),not(Y)),X_39) != or(not(X),or(not(Y),X_39))
| or(not(and(X,Y)),X_39) = or(not(X),or(not(Y),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(not(X),not(Y)),X_39),or(not(X),or(not(Y),X_39))) ),[0,0],$fot(not(and(X,Y)))]]) ).
cnf(refute_0_23706,plain,
( or(or(not(X),not(Y)),X_39) != or(not(X),or(not(Y),X_39))
| or(not(and(X,Y)),X_39) = or(not(X),or(not(Y),X_39)) ),
inference(resolve,[$cnf( $equal(or(not(X),not(Y)),not(and(X,Y))) )],[refute_0_147,refute_0_23705]) ).
cnf(refute_0_23707,plain,
or(not(and(X,Y)),X_39) = or(not(X),or(not(Y),X_39)),
inference(resolve,[$cnf( $equal(or(or(not(X),not(Y)),X_39),or(not(X),or(not(Y),X_39))) )],[refute_0_23704,refute_0_23706]) ).
cnf(refute_0_23708,plain,
( or(not(and(X,Y)),X_39) != or(not(X),or(not(Y),X_39))
| or(not(X),or(not(Y),X_39)) = or(not(and(X,Y)),X_39) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(not(and(X,Y)),X_39))),bind(Y0,$fot(or(not(X),or(not(Y),X_39))))]]) ).
cnf(refute_0_23709,plain,
or(not(X),or(not(Y),X_39)) = or(not(and(X,Y)),X_39),
inference(resolve,[$cnf( $equal(or(not(and(X,Y)),X_39),or(not(X),or(not(Y),X_39))) )],[refute_0_23707,refute_0_23708]) ).
cnf(refute_0_23710,plain,
or(not(t6),or(not(t7),X)) = or(not(and(t6,t7)),X),
inference(subst,[],[refute_0_23709:[bind(X,$fot(t6)),bind(Y,$fot(t7)),bind(X_39,$fot(X))]]) ).
cnf(refute_0_23711,plain,
( or(not(and(t6,t7)),X) != or(sum,X)
| or(not(t6),or(not(t7),X)) != or(not(and(t6,t7)),X)
| or(not(t6),or(not(t7),X)) = or(sum,X) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t6),or(not(t7),X)))),bind(Y0,$fot(or(not(and(t6,t7)),X))),bind(Z0,$fot(or(sum,X)))]]) ).
cnf(refute_0_23712,plain,
( or(not(and(t6,t7)),X) != or(sum,X)
| or(not(t6),or(not(t7),X)) = or(sum,X) ),
inference(resolve,[$cnf( $equal(or(not(t6),or(not(t7),X)),or(not(and(t6,t7)),X)) )],[refute_0_23710,refute_0_23711]) ).
cnf(refute_0_23713,plain,
or(not(t6),or(not(t7),X)) = or(sum,X),
inference(resolve,[$cnf( $equal(or(not(and(t6,t7)),X),or(sum,X)) )],[refute_0_23703,refute_0_23712]) ).
cnf(refute_0_23714,plain,
or(not(t7),or(X,not(t6))) = or(not(t6),or(not(t7),X)),
inference(subst,[],[refute_0_3769:[bind(X,$fot(not(t6))),bind(X_37,$fot(not(t7))),bind(X_38,$fot(X))]]) ).
cnf(refute_0_23715,plain,
( or(not(t6),or(not(t7),X)) != or(sum,X)
| or(not(t7),or(X,not(t6))) != or(not(t6),or(not(t7),X))
| or(not(t7),or(X,not(t6))) = or(sum,X) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t7),or(X,not(t6))))),bind(Y0,$fot(or(not(t6),or(not(t7),X)))),bind(Z0,$fot(or(sum,X)))]]) ).
cnf(refute_0_23716,plain,
( or(not(t6),or(not(t7),X)) != or(sum,X)
| or(not(t7),or(X,not(t6))) = or(sum,X) ),
inference(resolve,[$cnf( $equal(or(not(t7),or(X,not(t6))),or(not(t6),or(not(t7),X))) )],[refute_0_23714,refute_0_23715]) ).
cnf(refute_0_23717,plain,
or(not(t7),or(X,not(t6))) = or(sum,X),
inference(resolve,[$cnf( $equal(or(not(t6),or(not(t7),X)),or(sum,X)) )],[refute_0_23713,refute_0_23716]) ).
cnf(refute_0_23718,plain,
and(t6,t6) = t6,
inference(subst,[],[and_idempotent:[bind(X,$fot(t6))]]) ).
cnf(refute_0_23719,plain,
not(and(t6,t6)) = not(and(t6,t6)),
introduced(tautology,[refl,[$fot(not(and(t6,t6)))]]) ).
cnf(refute_0_23720,plain,
( and(t6,t6) != t6
| not(and(t6,t6)) != not(and(t6,t6))
| not(and(t6,t6)) = not(t6) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(t6,t6)),not(and(t6,t6))) ),[1,0],$fot(t6)]]) ).
cnf(refute_0_23721,plain,
( and(t6,t6) != t6
| not(and(t6,t6)) = not(t6) ),
inference(resolve,[$cnf( $equal(not(and(t6,t6)),not(and(t6,t6))) )],[refute_0_23719,refute_0_23720]) ).
cnf(refute_0_23722,plain,
not(and(t6,t6)) = not(t6),
inference(resolve,[$cnf( $equal(and(t6,t6),t6) )],[refute_0_23718,refute_0_23721]) ).
cnf(refute_0_23723,plain,
or(not(t6),not(t6)) = not(and(t6,t6)),
inference(subst,[],[refute_0_147:[bind(X,$fot(t6)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_23724,plain,
( not(and(t6,t6)) != not(t6)
| or(not(t6),not(t6)) != not(and(t6,t6))
| or(not(t6),not(t6)) = not(t6) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t6),not(t6)))),bind(Y0,$fot(not(and(t6,t6)))),bind(Z0,$fot(not(t6)))]]) ).
cnf(refute_0_23725,plain,
( not(and(t6,t6)) != not(t6)
| or(not(t6),not(t6)) = not(t6) ),
inference(resolve,[$cnf( $equal(or(not(t6),not(t6)),not(and(t6,t6))) )],[refute_0_23723,refute_0_23724]) ).
cnf(refute_0_23726,plain,
or(not(t6),not(t6)) = not(t6),
inference(resolve,[$cnf( $equal(not(and(t6,t6)),not(t6)) )],[refute_0_23722,refute_0_23725]) ).
cnf(refute_0_23727,plain,
or(not(t6),xor(sum,and(cin,sum))) = or(not(t6),xor(sum,and(cin,sum))),
introduced(tautology,[refl,[$fot(or(not(t6),xor(sum,and(cin,sum))))]]) ).
cnf(refute_0_23728,plain,
( or(not(t6),xor(sum,and(cin,sum))) != or(not(t6),xor(sum,and(cin,sum)))
| xor(sum,and(cin,sum)) != not(t6)
| or(not(t6),xor(sum,and(cin,sum))) = or(not(t6),not(t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t6),xor(sum,and(cin,sum))),or(not(t6),xor(sum,and(cin,sum)))) ),[1,1],$fot(not(t6))]]) ).
cnf(refute_0_23729,plain,
( xor(sum,and(cin,sum)) != not(t6)
| or(not(t6),xor(sum,and(cin,sum))) = or(not(t6),not(t6)) ),
inference(resolve,[$cnf( $equal(or(not(t6),xor(sum,and(cin,sum))),or(not(t6),xor(sum,and(cin,sum)))) )],[refute_0_23727,refute_0_23728]) ).
cnf(refute_0_23730,plain,
or(not(t6),xor(sum,and(cin,sum))) = or(not(t6),not(t6)),
inference(resolve,[$cnf( $equal(xor(sum,and(cin,sum)),not(t6)) )],[refute_0_7185,refute_0_23729]) ).
cnf(refute_0_23731,plain,
( or(not(t6),not(t6)) != not(t6)
| or(not(t6),xor(sum,and(cin,sum))) != or(not(t6),not(t6))
| or(not(t6),xor(sum,and(cin,sum))) = not(t6) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t6),xor(sum,and(cin,sum))))),bind(Y0,$fot(or(not(t6),not(t6)))),bind(Z0,$fot(not(t6)))]]) ).
cnf(refute_0_23732,plain,
( or(not(t6),not(t6)) != not(t6)
| or(not(t6),xor(sum,and(cin,sum))) = not(t6) ),
inference(resolve,[$cnf( $equal(or(not(t6),xor(sum,and(cin,sum))),or(not(t6),not(t6))) )],[refute_0_23730,refute_0_23731]) ).
cnf(refute_0_23733,plain,
or(not(t6),xor(sum,and(cin,sum))) = not(t6),
inference(resolve,[$cnf( $equal(or(not(t6),not(t6)),not(t6)) )],[refute_0_23726,refute_0_23732]) ).
cnf(refute_0_23734,plain,
or(X,or(not(t6),xor(sum,and(cin,sum)))) = or(X,or(not(t6),xor(sum,and(cin,sum)))),
introduced(tautology,[refl,[$fot(or(X,or(not(t6),xor(sum,and(cin,sum)))))]]) ).
cnf(refute_0_23735,plain,
( or(X,or(not(t6),xor(sum,and(cin,sum)))) != or(X,or(not(t6),xor(sum,and(cin,sum))))
| or(not(t6),xor(sum,and(cin,sum))) != not(t6)
| or(X,or(not(t6),xor(sum,and(cin,sum)))) = or(X,not(t6)) ),
introduced(tautology,[equality,[$cnf( $equal(or(X,or(not(t6),xor(sum,and(cin,sum)))),or(X,or(not(t6),xor(sum,and(cin,sum))))) ),[1,1],$fot(not(t6))]]) ).
cnf(refute_0_23736,plain,
( or(not(t6),xor(sum,and(cin,sum))) != not(t6)
| or(X,or(not(t6),xor(sum,and(cin,sum)))) = or(X,not(t6)) ),
inference(resolve,[$cnf( $equal(or(X,or(not(t6),xor(sum,and(cin,sum)))),or(X,or(not(t6),xor(sum,and(cin,sum))))) )],[refute_0_23734,refute_0_23735]) ).
cnf(refute_0_23737,plain,
or(X,or(not(t6),xor(sum,and(cin,sum)))) = or(X,not(t6)),
inference(resolve,[$cnf( $equal(or(not(t6),xor(sum,and(cin,sum))),not(t6)) )],[refute_0_23733,refute_0_23736]) ).
cnf(refute_0_23738,plain,
or(not(t7),or(X,or(not(t6),xor(sum,and(cin,sum))))) = or(not(t7),or(X,or(not(t6),xor(sum,and(cin,sum))))),
introduced(tautology,[refl,[$fot(or(not(t7),or(X,or(not(t6),xor(sum,and(cin,sum))))))]]) ).
cnf(refute_0_23739,plain,
( or(X,or(not(t6),xor(sum,and(cin,sum)))) != or(X,not(t6))
| or(not(t7),or(X,or(not(t6),xor(sum,and(cin,sum))))) != or(not(t7),or(X,or(not(t6),xor(sum,and(cin,sum)))))
| or(not(t7),or(X,or(not(t6),xor(sum,and(cin,sum))))) = or(not(t7),or(X,not(t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t7),or(X,or(not(t6),xor(sum,and(cin,sum))))),or(not(t7),or(X,or(not(t6),xor(sum,and(cin,sum)))))) ),[1,1],$fot(or(X,not(t6)))]]) ).
cnf(refute_0_23740,plain,
( or(X,or(not(t6),xor(sum,and(cin,sum)))) != or(X,not(t6))
| or(not(t7),or(X,or(not(t6),xor(sum,and(cin,sum))))) = or(not(t7),or(X,not(t6))) ),
inference(resolve,[$cnf( $equal(or(not(t7),or(X,or(not(t6),xor(sum,and(cin,sum))))),or(not(t7),or(X,or(not(t6),xor(sum,and(cin,sum)))))) )],[refute_0_23738,refute_0_23739]) ).
cnf(refute_0_23741,plain,
or(not(t7),or(X,or(not(t6),xor(sum,and(cin,sum))))) = or(not(t7),or(X,not(t6))),
inference(resolve,[$cnf( $equal(or(X,or(not(t6),xor(sum,and(cin,sum)))),or(X,not(t6))) )],[refute_0_23737,refute_0_23740]) ).
cnf(refute_0_23742,plain,
or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))) = or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))),
introduced(tautology,[refl,[$fot(or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))))]]) ).
cnf(refute_0_23743,plain,
( and(cin,sum) != not(t7)
| or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))) != or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum)))))
| or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))) = or(not(t7),or(X,or(not(t6),xor(sum,and(cin,sum))))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))),or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum)))))) ),[1,0],$fot(not(t7))]]) ).
cnf(refute_0_23744,plain,
( and(cin,sum) != not(t7)
| or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))) = or(not(t7),or(X,or(not(t6),xor(sum,and(cin,sum))))) ),
inference(resolve,[$cnf( $equal(or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))),or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum)))))) )],[refute_0_23742,refute_0_23743]) ).
cnf(refute_0_23745,plain,
or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))) = or(not(t7),or(X,or(not(t6),xor(sum,and(cin,sum))))),
inference(resolve,[$cnf( $equal(and(cin,sum),not(t7)) )],[refute_0_7154,refute_0_23744]) ).
cnf(refute_0_23746,plain,
( or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))) != or(not(t7),or(X,or(not(t6),xor(sum,and(cin,sum)))))
| or(not(t7),or(X,or(not(t6),xor(sum,and(cin,sum))))) != or(not(t7),or(X,not(t6)))
| or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))) = or(not(t7),or(X,not(t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))))),bind(Y0,$fot(or(not(t7),or(X,or(not(t6),xor(sum,and(cin,sum))))))),bind(Z0,$fot(or(not(t7),or(X,not(t6)))))]]) ).
cnf(refute_0_23747,plain,
( or(not(t7),or(X,or(not(t6),xor(sum,and(cin,sum))))) != or(not(t7),or(X,not(t6)))
| or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))) = or(not(t7),or(X,not(t6))) ),
inference(resolve,[$cnf( $equal(or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))),or(not(t7),or(X,or(not(t6),xor(sum,and(cin,sum)))))) )],[refute_0_23745,refute_0_23746]) ).
cnf(refute_0_23748,plain,
or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))) = or(not(t7),or(X,not(t6))),
inference(resolve,[$cnf( $equal(or(not(t7),or(X,or(not(t6),xor(sum,and(cin,sum))))),or(not(t7),or(X,not(t6)))) )],[refute_0_23741,refute_0_23747]) ).
cnf(refute_0_23749,plain,
( or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))) != or(not(t7),or(X,not(t6)))
| or(not(t7),or(X,not(t6))) != or(sum,X)
| or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))) = or(sum,X) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))))),bind(Y0,$fot(or(not(t7),or(X,not(t6))))),bind(Z0,$fot(or(sum,X)))]]) ).
cnf(refute_0_23750,plain,
( or(not(t7),or(X,not(t6))) != or(sum,X)
| or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))) = or(sum,X) ),
inference(resolve,[$cnf( $equal(or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))),or(not(t7),or(X,not(t6)))) )],[refute_0_23748,refute_0_23749]) ).
cnf(refute_0_23751,plain,
or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))) = or(sum,X),
inference(resolve,[$cnf( $equal(or(not(t7),or(X,not(t6))),or(sum,X)) )],[refute_0_23717,refute_0_23750]) ).
cnf(refute_0_23752,plain,
( or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))) != or(X,not(xor(t6,and(cin,sum))))
| or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))) != or(sum,X)
| or(sum,X) = or(X,not(xor(t6,and(cin,sum)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))),or(X,not(xor(t6,and(cin,sum))))) ),[0],$fot(or(sum,X))]]) ).
cnf(refute_0_23753,plain,
( or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))) != or(X,not(xor(t6,and(cin,sum))))
| or(sum,X) = or(X,not(xor(t6,and(cin,sum)))) ),
inference(resolve,[$cnf( $equal(or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))),or(sum,X)) )],[refute_0_23751,refute_0_23752]) ).
cnf(refute_0_23754,plain,
or(X,not(xor(t6,and(cin,sum)))) = or(X,not(xor(t6,and(cin,sum)))),
introduced(tautology,[refl,[$fot(or(X,not(xor(t6,and(cin,sum)))))]]) ).
cnf(refute_0_23755,plain,
( not(xor(t6,and(cin,sum))) != sum
| or(X,not(xor(t6,and(cin,sum)))) != or(X,not(xor(t6,and(cin,sum))))
| or(X,not(xor(t6,and(cin,sum)))) = or(X,sum) ),
introduced(tautology,[equality,[$cnf( $equal(or(X,not(xor(t6,and(cin,sum)))),or(X,not(xor(t6,and(cin,sum))))) ),[1,1],$fot(sum)]]) ).
cnf(refute_0_23756,plain,
( not(xor(t6,and(cin,sum))) != sum
| or(X,not(xor(t6,and(cin,sum)))) = or(X,sum) ),
inference(resolve,[$cnf( $equal(or(X,not(xor(t6,and(cin,sum)))),or(X,not(xor(t6,and(cin,sum))))) )],[refute_0_23754,refute_0_23755]) ).
cnf(refute_0_23757,plain,
or(X,not(xor(t6,and(cin,sum)))) = or(X,sum),
inference(resolve,[$cnf( $equal(not(xor(t6,and(cin,sum))),sum) )],[refute_0_8318,refute_0_23756]) ).
cnf(refute_0_23758,plain,
( or(X,not(xor(t6,and(cin,sum)))) != or(X,sum)
| or(sum,X) != or(X,not(xor(t6,and(cin,sum))))
| or(sum,X) = or(X,sum) ),
introduced(tautology,[equality,[$cnf( $equal(or(sum,X),or(X,not(xor(t6,and(cin,sum))))) ),[1],$fot(or(X,sum))]]) ).
cnf(refute_0_23759,plain,
( or(sum,X) != or(X,not(xor(t6,and(cin,sum))))
| or(sum,X) = or(X,sum) ),
inference(resolve,[$cnf( $equal(or(X,not(xor(t6,and(cin,sum)))),or(X,sum)) )],[refute_0_23757,refute_0_23758]) ).
cnf(refute_0_23760,plain,
( or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))) != or(X,not(xor(t6,and(cin,sum))))
| or(sum,X) = or(X,sum) ),
inference(resolve,[$cnf( $equal(or(sum,X),or(X,not(xor(t6,and(cin,sum))))) )],[refute_0_23753,refute_0_23759]) ).
cnf(refute_0_23761,plain,
or(sum,X) = or(X,sum),
inference(resolve,[$cnf( $equal(or(and(cin,sum),or(X,or(not(t6),xor(sum,and(cin,sum))))),or(X,not(xor(t6,and(cin,sum))))) )],[refute_0_23699,refute_0_23760]) ).
cnf(refute_0_23762,plain,
( or(sum,X) != or(X,sum)
| or(X,sum) = or(sum,X) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(sum,X))),bind(Y0,$fot(or(X,sum)))]]) ).
cnf(refute_0_23763,plain,
or(X,sum) = or(sum,X),
inference(resolve,[$cnf( $equal(or(sum,X),or(X,sum)) )],[refute_0_23761,refute_0_23762]) ).
cnf(refute_0_23764,plain,
or(not(t2),sum) = or(sum,not(t2)),
inference(subst,[],[refute_0_23763:[bind(X,$fot(not(t2)))]]) ).
cnf(refute_0_23765,plain,
not(and(t2,not(sum))) = or(not(t2),sum),
inference(subst,[],[refute_0_435:[bind(X_29,$fot(t2)),bind(X_30,$fot(sum))]]) ).
cnf(refute_0_23766,plain,
( not(and(t2,not(sum))) != or(not(t2),sum)
| or(not(t2),sum) != or(sum,not(t2))
| not(and(t2,not(sum))) = or(sum,not(t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(t2,not(sum))))),bind(Y0,$fot(or(not(t2),sum))),bind(Z0,$fot(or(sum,not(t2))))]]) ).
cnf(refute_0_23767,plain,
( or(not(t2),sum) != or(sum,not(t2))
| not(and(t2,not(sum))) = or(sum,not(t2)) ),
inference(resolve,[$cnf( $equal(not(and(t2,not(sum))),or(not(t2),sum)) )],[refute_0_23765,refute_0_23766]) ).
cnf(refute_0_23768,plain,
not(and(t2,not(sum))) = or(sum,not(t2)),
inference(resolve,[$cnf( $equal(or(not(t2),sum),or(sum,not(t2))) )],[refute_0_23764,refute_0_23767]) ).
cnf(refute_0_23769,plain,
and(t6,not(and(cin,not(xor(t3,or(a,t6)))))) = xor(t6,and(cin,not(xor(t3,or(a,t6))))),
inference(subst,[],[refute_0_1092:[bind(X_55,$fot(not(xor(t3,or(a,t6)))))]]) ).
cnf(refute_0_23770,plain,
or(and(cin,not(xor(t3,or(a,t6)))),and(not(cin),xor(t3,or(a,t6)))) = xor(cin,xor(t3,or(a,t6))),
inference(subst,[],[refute_0_9:[bind(X,$fot(cin)),bind(Y,$fot(xor(t3,or(a,t6))))]]) ).
cnf(refute_0_23771,plain,
and(or(cin,not(xor(t3,or(a,t6)))),not(or(not(xor(t3,or(a,t6))),cin))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(not(xor(t3,or(a,t6))))),bind(X_28,$fot(cin))]]) ).
cnf(refute_0_23772,plain,
or(cin,or(X_38,not(or(not(t5),X_38)))) = or(cin,or(not(t5),or(X_38,not(or(not(t5),X_38))))),
inference(subst,[],[refute_0_22564:[bind(X_39,$fot(or(X_38,not(or(not(t5),X_38)))))]]) ).
cnf(refute_0_23773,plain,
( or(cin,or(X_38,not(or(not(t5),X_38)))) != or(cin,or(not(t5),or(X_38,not(or(not(t5),X_38)))))
| or(not(t5),or(X_38,not(or(not(t5),X_38)))) != ll1
| or(cin,or(X_38,not(or(not(t5),X_38)))) = or(cin,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,or(X_38,not(or(not(t5),X_38)))),or(cin,or(not(t5),or(X_38,not(or(not(t5),X_38)))))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_23774,plain,
( or(cin,or(X_38,not(or(not(t5),X_38)))) != or(cin,or(not(t5),or(X_38,not(or(not(t5),X_38)))))
| or(cin,or(X_38,not(or(not(t5),X_38)))) = or(cin,ll1) ),
inference(resolve,[$cnf( $equal(or(not(t5),or(X_38,not(or(not(t5),X_38)))),ll1) )],[refute_0_21394,refute_0_23773]) ).
cnf(refute_0_23775,plain,
or(cin,or(X_38,not(or(not(t5),X_38)))) = or(cin,ll1),
inference(resolve,[$cnf( $equal(or(cin,or(X_38,not(or(not(t5),X_38)))),or(cin,or(not(t5),or(X_38,not(or(not(t5),X_38)))))) )],[refute_0_23772,refute_0_23774]) ).
cnf(refute_0_23776,plain,
or(cin,or(X_38,not(or(not(t5),X_38)))) = or(cin,or(X_38,not(or(not(t5),X_38)))),
introduced(tautology,[refl,[$fot(or(cin,or(X_38,not(or(not(t5),X_38)))))]]) ).
cnf(refute_0_23777,plain,
( or(X_38,not(or(not(t5),X_38))) != or(X_38,and(t5,not(X_38)))
| or(cin,or(X_38,not(or(not(t5),X_38)))) != or(cin,or(X_38,not(or(not(t5),X_38))))
| or(cin,or(X_38,not(or(not(t5),X_38)))) = or(cin,or(X_38,and(t5,not(X_38)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,or(X_38,not(or(not(t5),X_38)))),or(cin,or(X_38,not(or(not(t5),X_38))))) ),[1,1],$fot(or(X_38,and(t5,not(X_38))))]]) ).
cnf(refute_0_23778,plain,
( or(X_38,not(or(not(t5),X_38))) != or(X_38,and(t5,not(X_38)))
| or(cin,or(X_38,not(or(not(t5),X_38)))) = or(cin,or(X_38,and(t5,not(X_38)))) ),
inference(resolve,[$cnf( $equal(or(cin,or(X_38,not(or(not(t5),X_38)))),or(cin,or(X_38,not(or(not(t5),X_38))))) )],[refute_0_23776,refute_0_23777]) ).
cnf(refute_0_23779,plain,
or(cin,or(X_38,not(or(not(t5),X_38)))) = or(cin,or(X_38,and(t5,not(X_38)))),
inference(resolve,[$cnf( $equal(or(X_38,not(or(not(t5),X_38))),or(X_38,and(t5,not(X_38)))) )],[refute_0_21402,refute_0_23778]) ).
cnf(refute_0_23780,plain,
( or(cin,or(X_38,not(or(not(t5),X_38)))) != or(cin,ll1)
| or(cin,or(X_38,not(or(not(t5),X_38)))) != or(cin,or(X_38,and(t5,not(X_38))))
| or(cin,or(X_38,and(t5,not(X_38)))) = or(cin,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,or(X_38,not(or(not(t5),X_38)))),or(cin,ll1)) ),[0],$fot(or(cin,or(X_38,and(t5,not(X_38)))))]]) ).
cnf(refute_0_23781,plain,
( or(cin,or(X_38,not(or(not(t5),X_38)))) != or(cin,ll1)
| or(cin,or(X_38,and(t5,not(X_38)))) = or(cin,ll1) ),
inference(resolve,[$cnf( $equal(or(cin,or(X_38,not(or(not(t5),X_38)))),or(cin,or(X_38,and(t5,not(X_38))))) )],[refute_0_23779,refute_0_23780]) ).
cnf(refute_0_23782,plain,
( or(cin,ll1) != ll1
| or(cin,or(X_38,and(t5,not(X_38)))) != or(cin,ll1)
| or(cin,or(X_38,and(t5,not(X_38)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,or(X_38,and(t5,not(X_38)))),or(cin,ll1)) ),[1],$fot(ll1)]]) ).
cnf(refute_0_23783,plain,
( or(cin,or(X_38,and(t5,not(X_38)))) != or(cin,ll1)
| or(cin,or(X_38,and(t5,not(X_38)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(cin,ll1),ll1) )],[refute_0_3271,refute_0_23782]) ).
cnf(refute_0_23784,plain,
( or(cin,or(X_38,not(or(not(t5),X_38)))) != or(cin,ll1)
| or(cin,or(X_38,and(t5,not(X_38)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(cin,or(X_38,and(t5,not(X_38)))),or(cin,ll1)) )],[refute_0_23781,refute_0_23783]) ).
cnf(refute_0_23785,plain,
or(cin,or(X_38,and(t5,not(X_38)))) = ll1,
inference(resolve,[$cnf( $equal(or(cin,or(X_38,not(or(not(t5),X_38)))),or(cin,ll1)) )],[refute_0_23775,refute_0_23784]) ).
cnf(refute_0_23786,plain,
or(cin,or(t3,and(t5,not(t3)))) = ll1,
inference(subst,[],[refute_0_23785:[bind(X_38,$fot(t3))]]) ).
cnf(refute_0_23787,plain,
( not(or(carry,t3)) != and(t5,not(t3))
| not(or(carry,t3)) != not(or(a,t6))
| not(or(a,t6)) = and(t5,not(t3)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,t3)),and(t5,not(t3))) ),[0],$fot(not(or(a,t6)))]]) ).
cnf(refute_0_23788,plain,
( not(or(carry,t3)) != and(t5,not(t3))
| not(or(a,t6)) = and(t5,not(t3)) ),
inference(resolve,[$cnf( $equal(not(or(carry,t3)),not(or(a,t6))) )],[refute_0_14025,refute_0_23787]) ).
cnf(refute_0_23789,plain,
not(or(a,t6)) = and(t5,not(t3)),
inference(resolve,[$cnf( $equal(not(or(carry,t3)),and(t5,not(t3))) )],[refute_0_13847,refute_0_23788]) ).
cnf(refute_0_23790,plain,
( not(or(a,t6)) != and(t5,not(t3))
| and(t5,not(t3)) = not(or(a,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(a,t6)))),bind(Y0,$fot(and(t5,not(t3))))]]) ).
cnf(refute_0_23791,plain,
and(t5,not(t3)) = not(or(a,t6)),
inference(resolve,[$cnf( $equal(not(or(a,t6)),and(t5,not(t3))) )],[refute_0_23789,refute_0_23790]) ).
cnf(refute_0_23792,plain,
( and(t5,not(t3)) != not(or(a,t6))
| or(cin,or(t3,and(t5,not(t3)))) != ll1
| or(cin,or(t3,not(or(a,t6)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,or(t3,and(t5,not(t3)))),ll1) ),[0,1,1],$fot(not(or(a,t6)))]]) ).
cnf(refute_0_23793,plain,
( or(cin,or(t3,and(t5,not(t3)))) != ll1
| or(cin,or(t3,not(or(a,t6)))) = ll1 ),
inference(resolve,[$cnf( $equal(and(t5,not(t3)),not(or(a,t6))) )],[refute_0_23791,refute_0_23792]) ).
cnf(refute_0_23794,plain,
or(cin,or(t3,not(or(a,t6)))) = ll1,
inference(resolve,[$cnf( $equal(or(cin,or(t3,and(t5,not(t3)))),ll1) )],[refute_0_23786,refute_0_23793]) ).
cnf(refute_0_23795,plain,
or(cin,or(t3,not(or(a,t6)))) = or(cin,or(t3,not(or(a,t6)))),
introduced(tautology,[refl,[$fot(or(cin,or(t3,not(or(a,t6)))))]]) ).
cnf(refute_0_23796,plain,
( or(cin,or(t3,not(or(a,t6)))) != or(cin,or(t3,not(or(a,t6))))
| or(t3,not(or(a,t6))) != not(xor(t3,or(a,t6)))
| or(cin,or(t3,not(or(a,t6)))) = or(cin,not(xor(t3,or(a,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,or(t3,not(or(a,t6)))),or(cin,or(t3,not(or(a,t6))))) ),[1,1],$fot(not(xor(t3,or(a,t6))))]]) ).
cnf(refute_0_23797,plain,
( or(t3,not(or(a,t6))) != not(xor(t3,or(a,t6)))
| or(cin,or(t3,not(or(a,t6)))) = or(cin,not(xor(t3,or(a,t6)))) ),
inference(resolve,[$cnf( $equal(or(cin,or(t3,not(or(a,t6)))),or(cin,or(t3,not(or(a,t6))))) )],[refute_0_23795,refute_0_23796]) ).
cnf(refute_0_23798,plain,
or(cin,or(t3,not(or(a,t6)))) = or(cin,not(xor(t3,or(a,t6)))),
inference(resolve,[$cnf( $equal(or(t3,not(or(a,t6))),not(xor(t3,or(a,t6)))) )],[refute_0_23436,refute_0_23797]) ).
cnf(refute_0_23799,plain,
( or(cin,or(t3,not(or(a,t6)))) != ll1
| or(cin,or(t3,not(or(a,t6)))) != or(cin,not(xor(t3,or(a,t6))))
| or(cin,not(xor(t3,or(a,t6)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,or(t3,not(or(a,t6)))),ll1) ),[0],$fot(or(cin,not(xor(t3,or(a,t6)))))]]) ).
cnf(refute_0_23800,plain,
( or(cin,or(t3,not(or(a,t6)))) != ll1
| or(cin,not(xor(t3,or(a,t6)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(cin,or(t3,not(or(a,t6)))),or(cin,not(xor(t3,or(a,t6))))) )],[refute_0_23798,refute_0_23799]) ).
cnf(refute_0_23801,plain,
or(cin,not(xor(t3,or(a,t6)))) = ll1,
inference(resolve,[$cnf( $equal(or(cin,or(t3,not(or(a,t6)))),ll1) )],[refute_0_23794,refute_0_23800]) ).
cnf(refute_0_23802,plain,
( and(or(cin,not(xor(t3,or(a,t6)))),not(or(not(xor(t3,or(a,t6))),cin))) != ll0
| or(cin,not(xor(t3,or(a,t6)))) != ll1
| and(ll1,not(or(not(xor(t3,or(a,t6))),cin))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(cin,not(xor(t3,or(a,t6)))),not(or(not(xor(t3,or(a,t6))),cin))),ll0) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_23803,plain,
( and(or(cin,not(xor(t3,or(a,t6)))),not(or(not(xor(t3,or(a,t6))),cin))) != ll0
| and(ll1,not(or(not(xor(t3,or(a,t6))),cin))) = ll0 ),
inference(resolve,[$cnf( $equal(or(cin,not(xor(t3,or(a,t6)))),ll1) )],[refute_0_23801,refute_0_23802]) ).
cnf(refute_0_23804,plain,
and(ll1,not(or(not(xor(t3,or(a,t6))),cin))) = ll0,
inference(resolve,[$cnf( $equal(and(or(cin,not(xor(t3,or(a,t6)))),not(or(not(xor(t3,or(a,t6))),cin))),ll0) )],[refute_0_23771,refute_0_23803]) ).
cnf(refute_0_23805,plain,
not(or(cin,not(xor(t3,or(a,t6))))) = and(not(cin),xor(t3,or(a,t6))),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(t3,or(a,t6)))),bind(X_25,$fot(cin))]]) ).
cnf(refute_0_23806,plain,
and(ll1,not(or(cin,not(xor(t3,or(a,t6)))))) = not(or(cin,not(xor(t3,or(a,t6))))),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(or(cin,not(xor(t3,or(a,t6)))))))]]) ).
cnf(refute_0_23807,plain,
( and(ll1,not(or(cin,not(xor(t3,or(a,t6)))))) != not(or(cin,not(xor(t3,or(a,t6)))))
| not(or(cin,not(xor(t3,or(a,t6))))) != and(not(cin),xor(t3,or(a,t6)))
| and(ll1,not(or(cin,not(xor(t3,or(a,t6)))))) = and(not(cin),xor(t3,or(a,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(cin,not(xor(t3,or(a,t6)))))))),bind(Y0,$fot(not(or(cin,not(xor(t3,or(a,t6))))))),bind(Z0,$fot(and(not(cin),xor(t3,or(a,t6)))))]]) ).
cnf(refute_0_23808,plain,
( not(or(cin,not(xor(t3,or(a,t6))))) != and(not(cin),xor(t3,or(a,t6)))
| and(ll1,not(or(cin,not(xor(t3,or(a,t6)))))) = and(not(cin),xor(t3,or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(cin,not(xor(t3,or(a,t6)))))),not(or(cin,not(xor(t3,or(a,t6)))))) )],[refute_0_23806,refute_0_23807]) ).
cnf(refute_0_23809,plain,
and(ll1,not(or(cin,not(xor(t3,or(a,t6)))))) = and(not(cin),xor(t3,or(a,t6))),
inference(resolve,[$cnf( $equal(not(or(cin,not(xor(t3,or(a,t6))))),and(not(cin),xor(t3,or(a,t6)))) )],[refute_0_23805,refute_0_23808]) ).
cnf(refute_0_23810,plain,
and(ll1,not(or(not(xor(t3,or(a,t6))),cin))) = and(ll1,not(or(cin,not(xor(t3,or(a,t6)))))),
inference(subst,[],[refute_0_815:[bind(X_25,$fot(cin)),bind(X_26,$fot(not(xor(t3,or(a,t6))))),bind(X_29,$fot(ll1))]]) ).
cnf(refute_0_23811,plain,
( and(ll1,not(or(cin,not(xor(t3,or(a,t6)))))) != and(not(cin),xor(t3,or(a,t6)))
| and(ll1,not(or(not(xor(t3,or(a,t6))),cin))) != and(ll1,not(or(cin,not(xor(t3,or(a,t6))))))
| and(ll1,not(or(not(xor(t3,or(a,t6))),cin))) = and(not(cin),xor(t3,or(a,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(xor(t3,or(a,t6))),cin))))),bind(Y0,$fot(and(ll1,not(or(cin,not(xor(t3,or(a,t6)))))))),bind(Z0,$fot(and(not(cin),xor(t3,or(a,t6)))))]]) ).
cnf(refute_0_23812,plain,
( and(ll1,not(or(cin,not(xor(t3,or(a,t6)))))) != and(not(cin),xor(t3,or(a,t6)))
| and(ll1,not(or(not(xor(t3,or(a,t6))),cin))) = and(not(cin),xor(t3,or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t3,or(a,t6))),cin))),and(ll1,not(or(cin,not(xor(t3,or(a,t6))))))) )],[refute_0_23810,refute_0_23811]) ).
cnf(refute_0_23813,plain,
and(ll1,not(or(not(xor(t3,or(a,t6))),cin))) = and(not(cin),xor(t3,or(a,t6))),
inference(resolve,[$cnf( $equal(and(ll1,not(or(cin,not(xor(t3,or(a,t6)))))),and(not(cin),xor(t3,or(a,t6)))) )],[refute_0_23809,refute_0_23812]) ).
cnf(refute_0_23814,plain,
( and(ll1,not(or(not(xor(t3,or(a,t6))),cin))) != and(not(cin),xor(t3,or(a,t6)))
| and(ll1,not(or(not(xor(t3,or(a,t6))),cin))) != ll0
| and(not(cin),xor(t3,or(a,t6))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(ll1,not(or(not(xor(t3,or(a,t6))),cin))),ll0) ),[0],$fot(and(not(cin),xor(t3,or(a,t6))))]]) ).
cnf(refute_0_23815,plain,
( and(ll1,not(or(not(xor(t3,or(a,t6))),cin))) != ll0
| and(not(cin),xor(t3,or(a,t6))) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t3,or(a,t6))),cin))),and(not(cin),xor(t3,or(a,t6)))) )],[refute_0_23813,refute_0_23814]) ).
cnf(refute_0_23816,plain,
and(not(cin),xor(t3,or(a,t6))) = ll0,
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t3,or(a,t6))),cin))),ll0) )],[refute_0_23804,refute_0_23815]) ).
cnf(refute_0_23817,plain,
( and(not(cin),xor(t3,or(a,t6))) != ll0
| or(and(cin,not(xor(t3,or(a,t6)))),and(not(cin),xor(t3,or(a,t6)))) != xor(cin,xor(t3,or(a,t6)))
| or(and(cin,not(xor(t3,or(a,t6)))),ll0) = xor(cin,xor(t3,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(cin,not(xor(t3,or(a,t6)))),and(not(cin),xor(t3,or(a,t6)))),xor(cin,xor(t3,or(a,t6)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_23818,plain,
( or(and(cin,not(xor(t3,or(a,t6)))),and(not(cin),xor(t3,or(a,t6)))) != xor(cin,xor(t3,or(a,t6)))
| or(and(cin,not(xor(t3,or(a,t6)))),ll0) = xor(cin,xor(t3,or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(not(cin),xor(t3,or(a,t6))),ll0) )],[refute_0_23816,refute_0_23817]) ).
cnf(refute_0_23819,plain,
or(and(cin,not(xor(t3,or(a,t6)))),ll0) = xor(cin,xor(t3,or(a,t6))),
inference(resolve,[$cnf( $equal(or(and(cin,not(xor(t3,or(a,t6)))),and(not(cin),xor(t3,or(a,t6)))),xor(cin,xor(t3,or(a,t6)))) )],[refute_0_23770,refute_0_23818]) ).
cnf(refute_0_23820,plain,
or(and(cin,not(xor(t3,or(a,t6)))),ll0) = and(cin,not(xor(t3,or(a,t6)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(cin,not(xor(t3,or(a,t6))))))]]) ).
cnf(refute_0_23821,plain,
( or(and(cin,not(xor(t3,or(a,t6)))),ll0) != and(cin,not(xor(t3,or(a,t6))))
| or(and(cin,not(xor(t3,or(a,t6)))),ll0) != xor(cin,xor(t3,or(a,t6)))
| and(cin,not(xor(t3,or(a,t6)))) = xor(cin,xor(t3,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(cin,not(xor(t3,or(a,t6)))),ll0),xor(cin,xor(t3,or(a,t6)))) ),[0],$fot(and(cin,not(xor(t3,or(a,t6)))))]]) ).
cnf(refute_0_23822,plain,
( or(and(cin,not(xor(t3,or(a,t6)))),ll0) != xor(cin,xor(t3,or(a,t6)))
| and(cin,not(xor(t3,or(a,t6)))) = xor(cin,xor(t3,or(a,t6))) ),
inference(resolve,[$cnf( $equal(or(and(cin,not(xor(t3,or(a,t6)))),ll0),and(cin,not(xor(t3,or(a,t6))))) )],[refute_0_23820,refute_0_23821]) ).
cnf(refute_0_23823,plain,
and(cin,not(xor(t3,or(a,t6)))) = xor(cin,xor(t3,or(a,t6))),
inference(resolve,[$cnf( $equal(or(and(cin,not(xor(t3,or(a,t6)))),ll0),xor(cin,xor(t3,or(a,t6)))) )],[refute_0_23819,refute_0_23822]) ).
cnf(refute_0_23824,plain,
( and(cin,not(xor(t3,or(a,t6)))) != xor(cin,xor(t3,or(a,t6)))
| and(t6,not(and(cin,not(xor(t3,or(a,t6)))))) != xor(t6,and(cin,not(xor(t3,or(a,t6)))))
| and(t6,not(and(cin,not(xor(t3,or(a,t6)))))) = xor(t6,xor(cin,xor(t3,or(a,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(and(cin,not(xor(t3,or(a,t6)))))),xor(t6,and(cin,not(xor(t3,or(a,t6)))))) ),[1,1],$fot(xor(cin,xor(t3,or(a,t6))))]]) ).
cnf(refute_0_23825,plain,
( and(t6,not(and(cin,not(xor(t3,or(a,t6)))))) != xor(t6,and(cin,not(xor(t3,or(a,t6)))))
| and(t6,not(and(cin,not(xor(t3,or(a,t6)))))) = xor(t6,xor(cin,xor(t3,or(a,t6)))) ),
inference(resolve,[$cnf( $equal(and(cin,not(xor(t3,or(a,t6)))),xor(cin,xor(t3,or(a,t6)))) )],[refute_0_23823,refute_0_23824]) ).
cnf(refute_0_23826,plain,
and(t6,not(and(cin,not(xor(t3,or(a,t6)))))) = xor(t6,xor(cin,xor(t3,or(a,t6)))),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,not(xor(t3,or(a,t6)))))),xor(t6,and(cin,not(xor(t3,or(a,t6)))))) )],[refute_0_23769,refute_0_23825]) ).
cnf(refute_0_23827,plain,
not(and(not(xor(t3,or(a,t6))),cin)) = not(and(cin,not(xor(t3,or(a,t6))))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(cin)),bind(X_32,$fot(not(xor(t3,or(a,t6)))))]]) ).
cnf(refute_0_23828,plain,
( and(cin,not(xor(t3,or(a,t6)))) != xor(cin,xor(t3,or(a,t6)))
| not(and(not(xor(t3,or(a,t6))),cin)) != not(and(cin,not(xor(t3,or(a,t6)))))
| not(and(not(xor(t3,or(a,t6))),cin)) = not(xor(cin,xor(t3,or(a,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(xor(t3,or(a,t6))),cin)),not(and(cin,not(xor(t3,or(a,t6)))))) ),[1,0],$fot(xor(cin,xor(t3,or(a,t6))))]]) ).
cnf(refute_0_23829,plain,
( not(and(not(xor(t3,or(a,t6))),cin)) != not(and(cin,not(xor(t3,or(a,t6)))))
| not(and(not(xor(t3,or(a,t6))),cin)) = not(xor(cin,xor(t3,or(a,t6)))) ),
inference(resolve,[$cnf( $equal(and(cin,not(xor(t3,or(a,t6)))),xor(cin,xor(t3,or(a,t6)))) )],[refute_0_23823,refute_0_23828]) ).
cnf(refute_0_23830,plain,
not(and(not(xor(t3,or(a,t6))),cin)) = not(xor(cin,xor(t3,or(a,t6)))),
inference(resolve,[$cnf( $equal(not(and(not(xor(t3,or(a,t6))),cin)),not(and(cin,not(xor(t3,or(a,t6)))))) )],[refute_0_23827,refute_0_23829]) ).
cnf(refute_0_23831,plain,
or(xor(t3,or(a,t6)),not(cin)) = or(not(cin),xor(t3,or(a,t6))),
inference(subst,[],[refute_0_5:[bind(X,$fot(not(cin))),bind(Y,$fot(xor(t3,or(a,t6))))]]) ).
cnf(refute_0_23832,plain,
not(and(not(xor(t3,or(a,t6))),cin)) = or(xor(t3,or(a,t6)),not(cin)),
inference(subst,[],[refute_0_787:[bind(X,$fot(xor(t3,or(a,t6)))),bind(X_32,$fot(cin))]]) ).
cnf(refute_0_23833,plain,
( not(and(not(xor(t3,or(a,t6))),cin)) != or(xor(t3,or(a,t6)),not(cin))
| or(xor(t3,or(a,t6)),not(cin)) != or(not(cin),xor(t3,or(a,t6)))
| not(and(not(xor(t3,or(a,t6))),cin)) = or(not(cin),xor(t3,or(a,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(not(xor(t3,or(a,t6))),cin)))),bind(Y0,$fot(or(xor(t3,or(a,t6)),not(cin)))),bind(Z0,$fot(or(not(cin),xor(t3,or(a,t6)))))]]) ).
cnf(refute_0_23834,plain,
( or(xor(t3,or(a,t6)),not(cin)) != or(not(cin),xor(t3,or(a,t6)))
| not(and(not(xor(t3,or(a,t6))),cin)) = or(not(cin),xor(t3,or(a,t6))) ),
inference(resolve,[$cnf( $equal(not(and(not(xor(t3,or(a,t6))),cin)),or(xor(t3,or(a,t6)),not(cin))) )],[refute_0_23832,refute_0_23833]) ).
cnf(refute_0_23835,plain,
not(and(not(xor(t3,or(a,t6))),cin)) = or(not(cin),xor(t3,or(a,t6))),
inference(resolve,[$cnf( $equal(or(xor(t3,or(a,t6)),not(cin)),or(not(cin),xor(t3,or(a,t6)))) )],[refute_0_23831,refute_0_23834]) ).
cnf(refute_0_23836,plain,
( not(and(not(xor(t3,or(a,t6))),cin)) != not(xor(cin,xor(t3,or(a,t6))))
| not(and(not(xor(t3,or(a,t6))),cin)) != or(not(cin),xor(t3,or(a,t6)))
| or(not(cin),xor(t3,or(a,t6))) = not(xor(cin,xor(t3,or(a,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(xor(t3,or(a,t6))),cin)),not(xor(cin,xor(t3,or(a,t6))))) ),[0],$fot(or(not(cin),xor(t3,or(a,t6))))]]) ).
cnf(refute_0_23837,plain,
( not(and(not(xor(t3,or(a,t6))),cin)) != not(xor(cin,xor(t3,or(a,t6))))
| or(not(cin),xor(t3,or(a,t6))) = not(xor(cin,xor(t3,or(a,t6)))) ),
inference(resolve,[$cnf( $equal(not(and(not(xor(t3,or(a,t6))),cin)),or(not(cin),xor(t3,or(a,t6)))) )],[refute_0_23835,refute_0_23836]) ).
cnf(refute_0_23838,plain,
or(not(cin),xor(t3,or(a,t6))) = not(xor(cin,xor(t3,or(a,t6)))),
inference(resolve,[$cnf( $equal(not(and(not(xor(t3,or(a,t6))),cin)),not(xor(cin,xor(t3,or(a,t6))))) )],[refute_0_23830,refute_0_23837]) ).
cnf(refute_0_23839,plain,
and(t6,or(not(cin),xor(t3,or(a,t6)))) = and(t6,or(not(cin),xor(t3,or(a,t6)))),
introduced(tautology,[refl,[$fot(and(t6,or(not(cin),xor(t3,or(a,t6)))))]]) ).
cnf(refute_0_23840,plain,
( and(t6,or(not(cin),xor(t3,or(a,t6)))) != and(t6,or(not(cin),xor(t3,or(a,t6))))
| or(not(cin),xor(t3,or(a,t6))) != not(xor(cin,xor(t3,or(a,t6))))
| and(t6,or(not(cin),xor(t3,or(a,t6)))) = and(t6,not(xor(cin,xor(t3,or(a,t6))))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(not(cin),xor(t3,or(a,t6)))),and(t6,or(not(cin),xor(t3,or(a,t6))))) ),[1,1],$fot(not(xor(cin,xor(t3,or(a,t6)))))]]) ).
cnf(refute_0_23841,plain,
( or(not(cin),xor(t3,or(a,t6))) != not(xor(cin,xor(t3,or(a,t6))))
| and(t6,or(not(cin),xor(t3,or(a,t6)))) = and(t6,not(xor(cin,xor(t3,or(a,t6))))) ),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(t3,or(a,t6)))),and(t6,or(not(cin),xor(t3,or(a,t6))))) )],[refute_0_23839,refute_0_23840]) ).
cnf(refute_0_23842,plain,
and(t6,or(not(cin),xor(t3,or(a,t6)))) = and(t6,not(xor(cin,xor(t3,or(a,t6))))),
inference(resolve,[$cnf( $equal(or(not(cin),xor(t3,or(a,t6))),not(xor(cin,xor(t3,or(a,t6))))) )],[refute_0_23838,refute_0_23841]) ).
cnf(refute_0_23843,plain,
and(t6,or(xor(t3,or(a,t6)),not(cin))) = and(t6,or(not(cin),xor(t3,or(a,t6)))),
inference(subst,[],[refute_0_9736:[bind(X_453,$fot(xor(t3,or(a,t6))))]]) ).
cnf(refute_0_23844,plain,
xor(t6,and(cin,not(xor(t3,or(a,t6))))) = and(t6,or(xor(t3,or(a,t6)),not(cin))),
inference(subst,[],[refute_0_7535:[bind(X,$fot(xor(t3,or(a,t6))))]]) ).
cnf(refute_0_23845,plain,
( and(t6,or(xor(t3,or(a,t6)),not(cin))) != and(t6,or(not(cin),xor(t3,or(a,t6))))
| xor(t6,and(cin,not(xor(t3,or(a,t6))))) != and(t6,or(xor(t3,or(a,t6)),not(cin)))
| xor(t6,and(cin,not(xor(t3,or(a,t6))))) = and(t6,or(not(cin),xor(t3,or(a,t6)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,and(cin,not(xor(t3,or(a,t6))))))),bind(Y0,$fot(and(t6,or(xor(t3,or(a,t6)),not(cin))))),bind(Z0,$fot(and(t6,or(not(cin),xor(t3,or(a,t6))))))]]) ).
cnf(refute_0_23846,plain,
( and(t6,or(xor(t3,or(a,t6)),not(cin))) != and(t6,or(not(cin),xor(t3,or(a,t6))))
| xor(t6,and(cin,not(xor(t3,or(a,t6))))) = and(t6,or(not(cin),xor(t3,or(a,t6)))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,not(xor(t3,or(a,t6))))),and(t6,or(xor(t3,or(a,t6)),not(cin)))) )],[refute_0_23844,refute_0_23845]) ).
cnf(refute_0_23847,plain,
xor(t6,and(cin,not(xor(t3,or(a,t6))))) = and(t6,or(not(cin),xor(t3,or(a,t6)))),
inference(resolve,[$cnf( $equal(and(t6,or(xor(t3,or(a,t6)),not(cin))),and(t6,or(not(cin),xor(t3,or(a,t6))))) )],[refute_0_23843,refute_0_23846]) ).
cnf(refute_0_23848,plain,
( and(t6,not(and(cin,not(xor(t3,or(a,t6)))))) != xor(t6,and(cin,not(xor(t3,or(a,t6)))))
| xor(t6,and(cin,not(xor(t3,or(a,t6))))) != and(t6,or(not(cin),xor(t3,or(a,t6))))
| and(t6,not(and(cin,not(xor(t3,or(a,t6)))))) = and(t6,or(not(cin),xor(t3,or(a,t6)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t6,not(and(cin,not(xor(t3,or(a,t6)))))))),bind(Y0,$fot(xor(t6,and(cin,not(xor(t3,or(a,t6))))))),bind(Z0,$fot(and(t6,or(not(cin),xor(t3,or(a,t6))))))]]) ).
cnf(refute_0_23849,plain,
( xor(t6,and(cin,not(xor(t3,or(a,t6))))) != and(t6,or(not(cin),xor(t3,or(a,t6))))
| and(t6,not(and(cin,not(xor(t3,or(a,t6)))))) = and(t6,or(not(cin),xor(t3,or(a,t6)))) ),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,not(xor(t3,or(a,t6)))))),xor(t6,and(cin,not(xor(t3,or(a,t6)))))) )],[refute_0_23769,refute_0_23848]) ).
cnf(refute_0_23850,plain,
and(t6,not(and(cin,not(xor(t3,or(a,t6)))))) = and(t6,or(not(cin),xor(t3,or(a,t6)))),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,not(xor(t3,or(a,t6))))),and(t6,or(not(cin),xor(t3,or(a,t6))))) )],[refute_0_23847,refute_0_23849]) ).
cnf(refute_0_23851,plain,
( and(t6,not(and(cin,not(xor(t3,or(a,t6)))))) != and(t6,or(not(cin),xor(t3,or(a,t6))))
| and(t6,or(not(cin),xor(t3,or(a,t6)))) != and(t6,not(xor(cin,xor(t3,or(a,t6)))))
| and(t6,not(and(cin,not(xor(t3,or(a,t6)))))) = and(t6,not(xor(cin,xor(t3,or(a,t6))))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t6,not(and(cin,not(xor(t3,or(a,t6)))))))),bind(Y0,$fot(and(t6,or(not(cin),xor(t3,or(a,t6)))))),bind(Z0,$fot(and(t6,not(xor(cin,xor(t3,or(a,t6)))))))]]) ).
cnf(refute_0_23852,plain,
( and(t6,or(not(cin),xor(t3,or(a,t6)))) != and(t6,not(xor(cin,xor(t3,or(a,t6)))))
| and(t6,not(and(cin,not(xor(t3,or(a,t6)))))) = and(t6,not(xor(cin,xor(t3,or(a,t6))))) ),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,not(xor(t3,or(a,t6)))))),and(t6,or(not(cin),xor(t3,or(a,t6))))) )],[refute_0_23850,refute_0_23851]) ).
cnf(refute_0_23853,plain,
and(t6,not(and(cin,not(xor(t3,or(a,t6)))))) = and(t6,not(xor(cin,xor(t3,or(a,t6))))),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(t3,or(a,t6)))),and(t6,not(xor(cin,xor(t3,or(a,t6)))))) )],[refute_0_23842,refute_0_23852]) ).
cnf(refute_0_23854,plain,
( and(t6,not(and(cin,not(xor(t3,or(a,t6)))))) != and(t6,not(xor(cin,xor(t3,or(a,t6)))))
| and(t6,not(and(cin,not(xor(t3,or(a,t6)))))) != xor(t6,xor(cin,xor(t3,or(a,t6))))
| and(t6,not(xor(cin,xor(t3,or(a,t6))))) = xor(t6,xor(cin,xor(t3,or(a,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(and(cin,not(xor(t3,or(a,t6)))))),xor(t6,xor(cin,xor(t3,or(a,t6))))) ),[0],$fot(and(t6,not(xor(cin,xor(t3,or(a,t6))))))]]) ).
cnf(refute_0_23855,plain,
( and(t6,not(and(cin,not(xor(t3,or(a,t6)))))) != xor(t6,xor(cin,xor(t3,or(a,t6))))
| and(t6,not(xor(cin,xor(t3,or(a,t6))))) = xor(t6,xor(cin,xor(t3,or(a,t6)))) ),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,not(xor(t3,or(a,t6)))))),and(t6,not(xor(cin,xor(t3,or(a,t6)))))) )],[refute_0_23853,refute_0_23854]) ).
cnf(refute_0_23856,plain,
xor(a,xor(carry,xor(cin,or(a,t6)))) = xor(t2,xor(t7,or(a,t6))),
inference(subst,[],[refute_0_23132:[bind(Z,$fot(or(a,t6)))]]) ).
cnf(refute_0_23857,plain,
xor(cin,xor(carry,or(a,t6))) = xor(carry,xor(cin,or(a,t6))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(carry)),bind(X_334,$fot(cin)),bind(X_335,$fot(or(a,t6)))]]) ).
cnf(refute_0_23858,plain,
xor(a,xor(cin,xor(carry,or(a,t6)))) = xor(a,xor(cin,xor(carry,or(a,t6)))),
introduced(tautology,[refl,[$fot(xor(a,xor(cin,xor(carry,or(a,t6)))))]]) ).
cnf(refute_0_23859,plain,
( xor(a,xor(cin,xor(carry,or(a,t6)))) != xor(a,xor(cin,xor(carry,or(a,t6))))
| xor(cin,xor(carry,or(a,t6))) != xor(carry,xor(cin,or(a,t6)))
| xor(a,xor(cin,xor(carry,or(a,t6)))) = xor(a,xor(carry,xor(cin,or(a,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(cin,xor(carry,or(a,t6)))),xor(a,xor(cin,xor(carry,or(a,t6))))) ),[1,1],$fot(xor(carry,xor(cin,or(a,t6))))]]) ).
cnf(refute_0_23860,plain,
( xor(cin,xor(carry,or(a,t6))) != xor(carry,xor(cin,or(a,t6)))
| xor(a,xor(cin,xor(carry,or(a,t6)))) = xor(a,xor(carry,xor(cin,or(a,t6)))) ),
inference(resolve,[$cnf( $equal(xor(a,xor(cin,xor(carry,or(a,t6)))),xor(a,xor(cin,xor(carry,or(a,t6))))) )],[refute_0_23858,refute_0_23859]) ).
cnf(refute_0_23861,plain,
xor(a,xor(cin,xor(carry,or(a,t6)))) = xor(a,xor(carry,xor(cin,or(a,t6)))),
inference(resolve,[$cnf( $equal(xor(cin,xor(carry,or(a,t6))),xor(carry,xor(cin,or(a,t6)))) )],[refute_0_23857,refute_0_23860]) ).
cnf(refute_0_23862,plain,
( xor(a,xor(carry,xor(cin,or(a,t6)))) != xor(t2,xor(t7,or(a,t6)))
| xor(a,xor(cin,xor(carry,or(a,t6)))) != xor(a,xor(carry,xor(cin,or(a,t6))))
| xor(a,xor(cin,xor(carry,or(a,t6)))) = xor(t2,xor(t7,or(a,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(a,xor(cin,xor(carry,or(a,t6)))))),bind(Y0,$fot(xor(a,xor(carry,xor(cin,or(a,t6)))))),bind(Z0,$fot(xor(t2,xor(t7,or(a,t6)))))]]) ).
cnf(refute_0_23863,plain,
( xor(a,xor(carry,xor(cin,or(a,t6)))) != xor(t2,xor(t7,or(a,t6)))
| xor(a,xor(cin,xor(carry,or(a,t6)))) = xor(t2,xor(t7,or(a,t6))) ),
inference(resolve,[$cnf( $equal(xor(a,xor(cin,xor(carry,or(a,t6)))),xor(a,xor(carry,xor(cin,or(a,t6))))) )],[refute_0_23861,refute_0_23862]) ).
cnf(refute_0_23864,plain,
xor(a,xor(cin,xor(carry,or(a,t6)))) = xor(t2,xor(t7,or(a,t6))),
inference(resolve,[$cnf( $equal(xor(a,xor(carry,xor(cin,or(a,t6)))),xor(t2,xor(t7,or(a,t6)))) )],[refute_0_23856,refute_0_23863]) ).
cnf(refute_0_23865,plain,
xor(cin,xor(a,xor(carry,or(a,t6)))) = xor(a,xor(cin,xor(carry,or(a,t6)))),
inference(subst,[],[refute_0_14837:[bind(Z,$fot(xor(carry,or(a,t6)))),bind(X_357,$fot(cin))]]) ).
cnf(refute_0_23866,plain,
( xor(a,xor(cin,xor(carry,or(a,t6)))) != xor(t2,xor(t7,or(a,t6)))
| xor(cin,xor(a,xor(carry,or(a,t6)))) != xor(a,xor(cin,xor(carry,or(a,t6))))
| xor(cin,xor(a,xor(carry,or(a,t6)))) = xor(t2,xor(t7,or(a,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(cin,xor(a,xor(carry,or(a,t6)))))),bind(Y0,$fot(xor(a,xor(cin,xor(carry,or(a,t6)))))),bind(Z0,$fot(xor(t2,xor(t7,or(a,t6)))))]]) ).
cnf(refute_0_23867,plain,
( xor(a,xor(cin,xor(carry,or(a,t6)))) != xor(t2,xor(t7,or(a,t6)))
| xor(cin,xor(a,xor(carry,or(a,t6)))) = xor(t2,xor(t7,or(a,t6))) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(a,xor(carry,or(a,t6)))),xor(a,xor(cin,xor(carry,or(a,t6))))) )],[refute_0_23865,refute_0_23866]) ).
cnf(refute_0_23868,plain,
xor(cin,xor(a,xor(carry,or(a,t6)))) = xor(t2,xor(t7,or(a,t6))),
inference(resolve,[$cnf( $equal(xor(a,xor(cin,xor(carry,or(a,t6)))),xor(t2,xor(t7,or(a,t6)))) )],[refute_0_23864,refute_0_23867]) ).
cnf(refute_0_23869,plain,
xor(t3,xor(t6,Z)) = xor(xor(t3,t6),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(t3)),bind(Y,$fot(t6))]]) ).
cnf(refute_0_23870,plain,
xor(t4,xor(t3,t5)) = xor(t6,t3),
inference(subst,[],[refute_0_2517:[bind(X_338,$fot(t3))]]) ).
cnf(refute_0_23871,plain,
( xor(t3,t5) != xor(b,carry)
| xor(t4,xor(t3,t5)) != xor(t6,t3)
| xor(t4,xor(b,carry)) = xor(t6,t3) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,xor(t3,t5)),xor(t6,t3)) ),[0,1],$fot(xor(b,carry))]]) ).
cnf(refute_0_23872,plain,
( xor(t4,xor(t3,t5)) != xor(t6,t3)
| xor(t4,xor(b,carry)) = xor(t6,t3) ),
inference(resolve,[$cnf( $equal(xor(t3,t5),xor(b,carry)) )],[refute_0_16912,refute_0_23871]) ).
cnf(refute_0_23873,plain,
xor(t4,xor(b,carry)) = xor(t6,t3),
inference(resolve,[$cnf( $equal(xor(t4,xor(t3,t5)),xor(t6,t3)) )],[refute_0_23870,refute_0_23872]) ).
cnf(refute_0_23874,plain,
xor(b,xor(t4,carry)) = xor(a,carry),
inference(subst,[],[refute_0_23006:[bind(Y,$fot(carry))]]) ).
cnf(refute_0_23875,plain,
xor(t4,xor(b,carry)) = xor(b,xor(t4,carry)),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(b)),bind(X_334,$fot(t4)),bind(X_335,$fot(carry))]]) ).
cnf(refute_0_23876,plain,
( xor(b,xor(t4,carry)) != xor(a,carry)
| xor(t4,xor(b,carry)) != xor(b,xor(t4,carry))
| xor(t4,xor(b,carry)) = xor(a,carry) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t4,xor(b,carry)))),bind(Y0,$fot(xor(b,xor(t4,carry)))),bind(Z0,$fot(xor(a,carry)))]]) ).
cnf(refute_0_23877,plain,
( xor(b,xor(t4,carry)) != xor(a,carry)
| xor(t4,xor(b,carry)) = xor(a,carry) ),
inference(resolve,[$cnf( $equal(xor(t4,xor(b,carry)),xor(b,xor(t4,carry))) )],[refute_0_23875,refute_0_23876]) ).
cnf(refute_0_23878,plain,
xor(t4,xor(b,carry)) = xor(a,carry),
inference(resolve,[$cnf( $equal(xor(b,xor(t4,carry)),xor(a,carry)) )],[refute_0_23874,refute_0_23877]) ).
cnf(refute_0_23879,plain,
( xor(t4,xor(b,carry)) != xor(a,carry)
| xor(t4,xor(b,carry)) != xor(t6,t3)
| xor(a,carry) = xor(t6,t3) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,xor(b,carry)),xor(t6,t3)) ),[0],$fot(xor(a,carry))]]) ).
cnf(refute_0_23880,plain,
( xor(t4,xor(b,carry)) != xor(t6,t3)
| xor(a,carry) = xor(t6,t3) ),
inference(resolve,[$cnf( $equal(xor(t4,xor(b,carry)),xor(a,carry)) )],[refute_0_23878,refute_0_23879]) ).
cnf(refute_0_23881,plain,
xor(t6,t3) = xor(t3,t6),
inference(subst,[],[refute_0_1486:[bind(X_333,$fot(t3))]]) ).
cnf(refute_0_23882,plain,
( xor(a,carry) != xor(t6,t3)
| xor(t6,t3) != xor(t3,t6)
| xor(a,carry) = xor(t3,t6) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(a,carry),xor(t3,t6)) ),[0],$fot(xor(t6,t3))]]) ).
cnf(refute_0_23883,plain,
( xor(a,carry) != xor(t6,t3)
| xor(a,carry) = xor(t3,t6) ),
inference(resolve,[$cnf( $equal(xor(t6,t3),xor(t3,t6)) )],[refute_0_23881,refute_0_23882]) ).
cnf(refute_0_23884,plain,
( xor(t4,xor(b,carry)) != xor(t6,t3)
| xor(a,carry) = xor(t3,t6) ),
inference(resolve,[$cnf( $equal(xor(a,carry),xor(t6,t3)) )],[refute_0_23880,refute_0_23883]) ).
cnf(refute_0_23885,plain,
xor(a,carry) = xor(t3,t6),
inference(resolve,[$cnf( $equal(xor(t4,xor(b,carry)),xor(t6,t3)) )],[refute_0_23873,refute_0_23884]) ).
cnf(refute_0_23886,plain,
( xor(a,carry) != xor(t3,t6)
| xor(t3,t6) = xor(a,carry) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(a,carry))),bind(Y0,$fot(xor(t3,t6)))]]) ).
cnf(refute_0_23887,plain,
xor(t3,t6) = xor(a,carry),
inference(resolve,[$cnf( $equal(xor(a,carry),xor(t3,t6)) )],[refute_0_23885,refute_0_23886]) ).
cnf(refute_0_23888,plain,
( xor(t3,t6) != xor(a,carry)
| xor(t3,xor(t6,Z)) != xor(xor(t3,t6),Z)
| xor(t3,xor(t6,Z)) = xor(xor(a,carry),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,xor(t6,Z)),xor(xor(t3,t6),Z)) ),[1,0],$fot(xor(a,carry))]]) ).
cnf(refute_0_23889,plain,
( xor(t3,xor(t6,Z)) != xor(xor(t3,t6),Z)
| xor(t3,xor(t6,Z)) = xor(xor(a,carry),Z) ),
inference(resolve,[$cnf( $equal(xor(t3,t6),xor(a,carry)) )],[refute_0_23887,refute_0_23888]) ).
cnf(refute_0_23890,plain,
xor(t3,xor(t6,Z)) = xor(xor(a,carry),Z),
inference(resolve,[$cnf( $equal(xor(t3,xor(t6,Z)),xor(xor(t3,t6),Z)) )],[refute_0_23869,refute_0_23889]) ).
cnf(refute_0_23891,plain,
xor(xor(a,carry),Z) = xor(a,xor(carry,Z)),
inference(subst,[],[refute_0_526:[bind(X,$fot(a)),bind(Y,$fot(carry))]]) ).
cnf(refute_0_23892,plain,
( xor(t3,xor(t6,Z)) != xor(xor(a,carry),Z)
| xor(xor(a,carry),Z) != xor(a,xor(carry,Z))
| xor(t3,xor(t6,Z)) = xor(a,xor(carry,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(t3,xor(t6,Z)),xor(a,xor(carry,Z))) ),[0],$fot(xor(xor(a,carry),Z))]]) ).
cnf(refute_0_23893,plain,
( xor(t3,xor(t6,Z)) != xor(xor(a,carry),Z)
| xor(t3,xor(t6,Z)) = xor(a,xor(carry,Z)) ),
inference(resolve,[$cnf( $equal(xor(xor(a,carry),Z),xor(a,xor(carry,Z))) )],[refute_0_23891,refute_0_23892]) ).
cnf(refute_0_23894,plain,
xor(t3,xor(t6,Z)) = xor(a,xor(carry,Z)),
inference(resolve,[$cnf( $equal(xor(t3,xor(t6,Z)),xor(xor(a,carry),Z)) )],[refute_0_23890,refute_0_23893]) ).
cnf(refute_0_23895,plain,
xor(t3,xor(t6,or(a,t6))) = xor(a,xor(carry,or(a,t6))),
inference(subst,[],[refute_0_23894:[bind(Z,$fot(or(a,t6)))]]) ).
cnf(refute_0_23896,plain,
xor(t6,xor(t3,or(a,t6))) = xor(t3,xor(t6,or(a,t6))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(t3)),bind(X_334,$fot(t6)),bind(X_335,$fot(or(a,t6)))]]) ).
cnf(refute_0_23897,plain,
( xor(t3,xor(t6,or(a,t6))) != xor(a,xor(carry,or(a,t6)))
| xor(t6,xor(t3,or(a,t6))) != xor(t3,xor(t6,or(a,t6)))
| xor(t6,xor(t3,or(a,t6))) = xor(a,xor(carry,or(a,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,xor(t3,or(a,t6))))),bind(Y0,$fot(xor(t3,xor(t6,or(a,t6))))),bind(Z0,$fot(xor(a,xor(carry,or(a,t6)))))]]) ).
cnf(refute_0_23898,plain,
( xor(t3,xor(t6,or(a,t6))) != xor(a,xor(carry,or(a,t6)))
| xor(t6,xor(t3,or(a,t6))) = xor(a,xor(carry,or(a,t6))) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(t3,or(a,t6))),xor(t3,xor(t6,or(a,t6)))) )],[refute_0_23896,refute_0_23897]) ).
cnf(refute_0_23899,plain,
xor(t6,xor(t3,or(a,t6))) = xor(a,xor(carry,or(a,t6))),
inference(resolve,[$cnf( $equal(xor(t3,xor(t6,or(a,t6))),xor(a,xor(carry,or(a,t6)))) )],[refute_0_23895,refute_0_23898]) ).
cnf(refute_0_23900,plain,
xor(cin,xor(t6,xor(t3,or(a,t6)))) = xor(cin,xor(t6,xor(t3,or(a,t6)))),
introduced(tautology,[refl,[$fot(xor(cin,xor(t6,xor(t3,or(a,t6)))))]]) ).
cnf(refute_0_23901,plain,
( xor(cin,xor(t6,xor(t3,or(a,t6)))) != xor(cin,xor(t6,xor(t3,or(a,t6))))
| xor(t6,xor(t3,or(a,t6))) != xor(a,xor(carry,or(a,t6)))
| xor(cin,xor(t6,xor(t3,or(a,t6)))) = xor(cin,xor(a,xor(carry,or(a,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t6,xor(t3,or(a,t6)))),xor(cin,xor(t6,xor(t3,or(a,t6))))) ),[1,1],$fot(xor(a,xor(carry,or(a,t6))))]]) ).
cnf(refute_0_23902,plain,
( xor(t6,xor(t3,or(a,t6))) != xor(a,xor(carry,or(a,t6)))
| xor(cin,xor(t6,xor(t3,or(a,t6)))) = xor(cin,xor(a,xor(carry,or(a,t6)))) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t6,xor(t3,or(a,t6)))),xor(cin,xor(t6,xor(t3,or(a,t6))))) )],[refute_0_23900,refute_0_23901]) ).
cnf(refute_0_23903,plain,
xor(cin,xor(t6,xor(t3,or(a,t6)))) = xor(cin,xor(a,xor(carry,or(a,t6)))),
inference(resolve,[$cnf( $equal(xor(t6,xor(t3,or(a,t6))),xor(a,xor(carry,or(a,t6)))) )],[refute_0_23899,refute_0_23902]) ).
cnf(refute_0_23904,plain,
( xor(cin,xor(a,xor(carry,or(a,t6)))) != xor(t2,xor(t7,or(a,t6)))
| xor(cin,xor(t6,xor(t3,or(a,t6)))) != xor(cin,xor(a,xor(carry,or(a,t6))))
| xor(cin,xor(t6,xor(t3,or(a,t6)))) = xor(t2,xor(t7,or(a,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(cin,xor(t6,xor(t3,or(a,t6)))))),bind(Y0,$fot(xor(cin,xor(a,xor(carry,or(a,t6)))))),bind(Z0,$fot(xor(t2,xor(t7,or(a,t6)))))]]) ).
cnf(refute_0_23905,plain,
( xor(cin,xor(a,xor(carry,or(a,t6)))) != xor(t2,xor(t7,or(a,t6)))
| xor(cin,xor(t6,xor(t3,or(a,t6)))) = xor(t2,xor(t7,or(a,t6))) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t6,xor(t3,or(a,t6)))),xor(cin,xor(a,xor(carry,or(a,t6))))) )],[refute_0_23903,refute_0_23904]) ).
cnf(refute_0_23906,plain,
xor(cin,xor(t6,xor(t3,or(a,t6)))) = xor(t2,xor(t7,or(a,t6))),
inference(resolve,[$cnf( $equal(xor(cin,xor(a,xor(carry,or(a,t6)))),xor(t2,xor(t7,or(a,t6)))) )],[refute_0_23868,refute_0_23905]) ).
cnf(refute_0_23907,plain,
xor(t6,xor(cin,xor(t3,or(a,t6)))) = xor(cin,xor(t6,xor(t3,or(a,t6)))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(cin)),bind(X_334,$fot(t6)),bind(X_335,$fot(xor(t3,or(a,t6))))]]) ).
cnf(refute_0_23908,plain,
( xor(cin,xor(t6,xor(t3,or(a,t6)))) != xor(t2,xor(t7,or(a,t6)))
| xor(t6,xor(cin,xor(t3,or(a,t6)))) != xor(cin,xor(t6,xor(t3,or(a,t6))))
| xor(t6,xor(cin,xor(t3,or(a,t6)))) = xor(t2,xor(t7,or(a,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,xor(cin,xor(t3,or(a,t6)))))),bind(Y0,$fot(xor(cin,xor(t6,xor(t3,or(a,t6)))))),bind(Z0,$fot(xor(t2,xor(t7,or(a,t6)))))]]) ).
cnf(refute_0_23909,plain,
( xor(cin,xor(t6,xor(t3,or(a,t6)))) != xor(t2,xor(t7,or(a,t6)))
| xor(t6,xor(cin,xor(t3,or(a,t6)))) = xor(t2,xor(t7,or(a,t6))) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(cin,xor(t3,or(a,t6)))),xor(cin,xor(t6,xor(t3,or(a,t6))))) )],[refute_0_23907,refute_0_23908]) ).
cnf(refute_0_23910,plain,
xor(t6,xor(cin,xor(t3,or(a,t6)))) = xor(t2,xor(t7,or(a,t6))),
inference(resolve,[$cnf( $equal(xor(cin,xor(t6,xor(t3,or(a,t6)))),xor(t2,xor(t7,or(a,t6)))) )],[refute_0_23906,refute_0_23909]) ).
cnf(refute_0_23911,plain,
( and(t6,not(xor(cin,xor(t3,or(a,t6))))) != xor(t6,xor(cin,xor(t3,or(a,t6))))
| xor(t6,xor(cin,xor(t3,or(a,t6)))) != xor(t2,xor(t7,or(a,t6)))
| and(t6,not(xor(cin,xor(t3,or(a,t6))))) = xor(t2,xor(t7,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,not(xor(cin,xor(t3,or(a,t6))))),xor(t2,xor(t7,or(a,t6)))) ),[0],$fot(xor(t6,xor(cin,xor(t3,or(a,t6)))))]]) ).
cnf(refute_0_23912,plain,
( and(t6,not(xor(cin,xor(t3,or(a,t6))))) != xor(t6,xor(cin,xor(t3,or(a,t6))))
| and(t6,not(xor(cin,xor(t3,or(a,t6))))) = xor(t2,xor(t7,or(a,t6))) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(cin,xor(t3,or(a,t6)))),xor(t2,xor(t7,or(a,t6)))) )],[refute_0_23910,refute_0_23911]) ).
cnf(refute_0_23913,plain,
( and(t6,not(and(cin,not(xor(t3,or(a,t6)))))) != xor(t6,xor(cin,xor(t3,or(a,t6))))
| and(t6,not(xor(cin,xor(t3,or(a,t6))))) = xor(t2,xor(t7,or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(cin,xor(t3,or(a,t6))))),xor(t6,xor(cin,xor(t3,or(a,t6))))) )],[refute_0_23855,refute_0_23912]) ).
cnf(refute_0_23914,plain,
and(t6,not(xor(cin,xor(t3,or(a,t6))))) = xor(t2,xor(t7,or(a,t6))),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,not(xor(t3,or(a,t6)))))),xor(t6,xor(cin,xor(t3,or(a,t6))))) )],[refute_0_23826,refute_0_23913]) ).
cnf(refute_0_23915,plain,
or(and(cin,not(or(a,t5))),and(not(cin),or(a,t5))) = xor(cin,or(a,t5)),
inference(subst,[],[refute_0_9:[bind(X,$fot(cin)),bind(Y,$fot(or(a,t5)))]]) ).
cnf(refute_0_23916,plain,
and(not(or(a,t5)),or(t3,not(or(a,t5)))) = not(or(a,t5)),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(not(or(a,t5)))),bind(X_20,$fot(t3))]]) ).
cnf(refute_0_23917,plain,
not(and(or(t3,t5),not(t3))) = not(and(not(t3),or(t3,t5))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(not(t3))),bind(X_32,$fot(or(t3,t5)))]]) ).
cnf(refute_0_23918,plain,
or(and(t3,not(or(t5,and(t3,t4)))),and(not(t3),or(t5,and(t3,t4)))) = xor(t3,or(t5,and(t3,t4))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t3)),bind(Y,$fot(or(t5,and(t3,t4))))]]) ).
cnf(refute_0_23919,plain,
ll0 = and(t3,and(t4,and(xor(t3,t4),not(t5)))),
inference(subst,[],[refute_0_22867:[bind(X_222,$fot(not(t5)))]]) ).
cnf(refute_0_23920,plain,
and(not(t5),X_299) = and(t4,and(not(t5),X_299)),
inference(subst,[],[refute_0_21529:[bind(X_222,$fot(X_299))]]) ).
cnf(refute_0_23921,plain,
and(X_299,not(t5)) = and(not(t5),X_299),
inference(subst,[],[and_commutative:[bind(X,$fot(X_299)),bind(Y,$fot(not(t5)))]]) ).
cnf(refute_0_23922,plain,
( and(X_299,not(t5)) != and(not(t5),X_299)
| and(not(t5),X_299) = and(X_299,not(t5)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X_299,not(t5)))),bind(Y0,$fot(and(not(t5),X_299)))]]) ).
cnf(refute_0_23923,plain,
and(not(t5),X_299) = and(X_299,not(t5)),
inference(resolve,[$cnf( $equal(and(X_299,not(t5)),and(not(t5),X_299)) )],[refute_0_23921,refute_0_23922]) ).
cnf(refute_0_23924,plain,
( and(not(t5),X_299) != and(X_299,not(t5))
| and(not(t5),X_299) != and(t4,and(not(t5),X_299))
| and(not(t5),X_299) = and(t4,and(X_299,not(t5))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),X_299),and(t4,and(not(t5),X_299))) ),[1,1],$fot(and(X_299,not(t5)))]]) ).
cnf(refute_0_23925,plain,
( and(not(t5),X_299) != and(t4,and(not(t5),X_299))
| and(not(t5),X_299) = and(t4,and(X_299,not(t5))) ),
inference(resolve,[$cnf( $equal(and(not(t5),X_299),and(X_299,not(t5))) )],[refute_0_23923,refute_0_23924]) ).
cnf(refute_0_23926,plain,
and(not(t5),X_299) = and(t4,and(X_299,not(t5))),
inference(resolve,[$cnf( $equal(and(not(t5),X_299),and(t4,and(not(t5),X_299))) )],[refute_0_23920,refute_0_23925]) ).
cnf(refute_0_23927,plain,
and(not(t5),xor(t3,t4)) = and(t4,and(xor(t3,t4),not(t5))),
inference(subst,[],[refute_0_23926:[bind(X_299,$fot(xor(t3,t4)))]]) ).
cnf(refute_0_23928,plain,
( and(not(t5),xor(t3,t4)) != and(t4,and(xor(t3,t4),not(t5)))
| and(t4,and(xor(t3,t4),not(t5))) = and(not(t5),xor(t3,t4)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t5),xor(t3,t4)))),bind(Y0,$fot(and(t4,and(xor(t3,t4),not(t5)))))]]) ).
cnf(refute_0_23929,plain,
and(t4,and(xor(t3,t4),not(t5))) = and(not(t5),xor(t3,t4)),
inference(resolve,[$cnf( $equal(and(not(t5),xor(t3,t4)),and(t4,and(xor(t3,t4),not(t5)))) )],[refute_0_23927,refute_0_23928]) ).
cnf(refute_0_23930,plain,
( and(t4,and(xor(t3,t4),not(t5))) != and(not(t5),xor(t3,t4))
| ll0 != and(t3,and(t4,and(xor(t3,t4),not(t5))))
| ll0 = and(t3,and(not(t5),xor(t3,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(t3,and(t4,and(xor(t3,t4),not(t5))))) ),[1,1],$fot(and(not(t5),xor(t3,t4)))]]) ).
cnf(refute_0_23931,plain,
( ll0 != and(t3,and(t4,and(xor(t3,t4),not(t5))))
| ll0 = and(t3,and(not(t5),xor(t3,t4))) ),
inference(resolve,[$cnf( $equal(and(t4,and(xor(t3,t4),not(t5))),and(not(t5),xor(t3,t4))) )],[refute_0_23929,refute_0_23930]) ).
cnf(refute_0_23932,plain,
ll0 = and(t3,and(not(t5),xor(t3,t4))),
inference(resolve,[$cnf( $equal(ll0,and(t3,and(t4,and(xor(t3,t4),not(t5))))) )],[refute_0_23919,refute_0_23931]) ).
cnf(refute_0_23933,plain,
and(not(t5),xor(t3,t4)) = not(or(t5,and(t3,t4))),
inference(subst,[],[refute_0_22887:[bind(X,$fot(t5))]]) ).
cnf(refute_0_23934,plain,
and(t3,and(not(t5),xor(t3,t4))) = and(t3,and(not(t5),xor(t3,t4))),
introduced(tautology,[refl,[$fot(and(t3,and(not(t5),xor(t3,t4))))]]) ).
cnf(refute_0_23935,plain,
( and(not(t5),xor(t3,t4)) != not(or(t5,and(t3,t4)))
| and(t3,and(not(t5),xor(t3,t4))) != and(t3,and(not(t5),xor(t3,t4)))
| and(t3,and(not(t5),xor(t3,t4))) = and(t3,not(or(t5,and(t3,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,and(not(t5),xor(t3,t4))),and(t3,and(not(t5),xor(t3,t4)))) ),[1,1],$fot(not(or(t5,and(t3,t4))))]]) ).
cnf(refute_0_23936,plain,
( and(not(t5),xor(t3,t4)) != not(or(t5,and(t3,t4)))
| and(t3,and(not(t5),xor(t3,t4))) = and(t3,not(or(t5,and(t3,t4)))) ),
inference(resolve,[$cnf( $equal(and(t3,and(not(t5),xor(t3,t4))),and(t3,and(not(t5),xor(t3,t4)))) )],[refute_0_23934,refute_0_23935]) ).
cnf(refute_0_23937,plain,
and(t3,and(not(t5),xor(t3,t4))) = and(t3,not(or(t5,and(t3,t4)))),
inference(resolve,[$cnf( $equal(and(not(t5),xor(t3,t4)),not(or(t5,and(t3,t4)))) )],[refute_0_23933,refute_0_23936]) ).
cnf(refute_0_23938,plain,
( and(t3,and(not(t5),xor(t3,t4))) != and(t3,not(or(t5,and(t3,t4))))
| ll0 != and(t3,and(not(t5),xor(t3,t4)))
| ll0 = and(t3,not(or(t5,and(t3,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(t3,and(not(t5),xor(t3,t4)))) ),[1],$fot(and(t3,not(or(t5,and(t3,t4)))))]]) ).
cnf(refute_0_23939,plain,
( ll0 != and(t3,and(not(t5),xor(t3,t4)))
| ll0 = and(t3,not(or(t5,and(t3,t4)))) ),
inference(resolve,[$cnf( $equal(and(t3,and(not(t5),xor(t3,t4))),and(t3,not(or(t5,and(t3,t4))))) )],[refute_0_23937,refute_0_23938]) ).
cnf(refute_0_23940,plain,
ll0 = and(t3,not(or(t5,and(t3,t4)))),
inference(resolve,[$cnf( $equal(ll0,and(t3,and(not(t5),xor(t3,t4)))) )],[refute_0_23932,refute_0_23939]) ).
cnf(refute_0_23941,plain,
( ll0 != and(t3,not(or(t5,and(t3,t4))))
| and(t3,not(or(t5,and(t3,t4)))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(t3,not(or(t5,and(t3,t4))))))]]) ).
cnf(refute_0_23942,plain,
and(t3,not(or(t5,and(t3,t4)))) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(t3,not(or(t5,and(t3,t4))))) )],[refute_0_23940,refute_0_23941]) ).
cnf(refute_0_23943,plain,
( and(t3,not(or(t5,and(t3,t4)))) != ll0
| or(and(t3,not(or(t5,and(t3,t4)))),and(not(t3),or(t5,and(t3,t4)))) != xor(t3,or(t5,and(t3,t4)))
| or(ll0,and(not(t3),or(t5,and(t3,t4)))) = xor(t3,or(t5,and(t3,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t3,not(or(t5,and(t3,t4)))),and(not(t3),or(t5,and(t3,t4)))),xor(t3,or(t5,and(t3,t4)))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_23944,plain,
( or(and(t3,not(or(t5,and(t3,t4)))),and(not(t3),or(t5,and(t3,t4)))) != xor(t3,or(t5,and(t3,t4)))
| or(ll0,and(not(t3),or(t5,and(t3,t4)))) = xor(t3,or(t5,and(t3,t4))) ),
inference(resolve,[$cnf( $equal(and(t3,not(or(t5,and(t3,t4)))),ll0) )],[refute_0_23942,refute_0_23943]) ).
cnf(refute_0_23945,plain,
or(ll0,and(not(t3),or(t5,and(t3,t4)))) = xor(t3,or(t5,and(t3,t4))),
inference(resolve,[$cnf( $equal(or(and(t3,not(or(t5,and(t3,t4)))),and(not(t3),or(t5,and(t3,t4)))),xor(t3,or(t5,and(t3,t4)))) )],[refute_0_23918,refute_0_23944]) ).
cnf(refute_0_23946,plain,
or(ll0,and(not(t3),or(t5,and(t3,t4)))) = and(not(t3),or(t5,and(t3,t4))),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(t3),or(t5,and(t3,t4)))))]]) ).
cnf(refute_0_23947,plain,
( or(ll0,and(not(t3),or(t5,and(t3,t4)))) != and(not(t3),or(t5,and(t3,t4)))
| or(ll0,and(not(t3),or(t5,and(t3,t4)))) != xor(t3,or(t5,and(t3,t4)))
| and(not(t3),or(t5,and(t3,t4))) = xor(t3,or(t5,and(t3,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(t3),or(t5,and(t3,t4)))),xor(t3,or(t5,and(t3,t4)))) ),[0],$fot(and(not(t3),or(t5,and(t3,t4))))]]) ).
cnf(refute_0_23948,plain,
( or(ll0,and(not(t3),or(t5,and(t3,t4)))) != xor(t3,or(t5,and(t3,t4)))
| and(not(t3),or(t5,and(t3,t4))) = xor(t3,or(t5,and(t3,t4))) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t3),or(t5,and(t3,t4)))),and(not(t3),or(t5,and(t3,t4)))) )],[refute_0_23946,refute_0_23947]) ).
cnf(refute_0_23949,plain,
and(not(t3),or(t5,and(t3,t4))) = xor(t3,or(t5,and(t3,t4))),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t3),or(t5,and(t3,t4)))),xor(t3,or(t5,and(t3,t4)))) )],[refute_0_23945,refute_0_23948]) ).
cnf(refute_0_23950,plain,
not(or(t3,and(not(t5),t2))) = not(or(t3,and(t2,not(t5)))),
inference(subst,[],[refute_0_5521:[bind(X,$fot(t3)),bind(X_205,$fot(not(t5))),bind(X_206,$fot(t2))]]) ).
cnf(refute_0_23951,plain,
and(not(t3),or(t5,not(t2))) = not(or(t3,and(not(t5),t2))),
inference(subst,[],[refute_0_5529:[bind(X,$fot(t3)),bind(X_33,$fot(t5)),bind(X_34,$fot(t2))]]) ).
cnf(refute_0_23952,plain,
( and(not(t3),or(t5,not(t2))) != not(or(t3,and(not(t5),t2)))
| not(or(t3,and(not(t5),t2))) != not(or(t3,and(t2,not(t5))))
| and(not(t3),or(t5,not(t2))) = not(or(t3,and(t2,not(t5)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t3),or(t5,not(t2))))),bind(Y0,$fot(not(or(t3,and(not(t5),t2))))),bind(Z0,$fot(not(or(t3,and(t2,not(t5))))))]]) ).
cnf(refute_0_23953,plain,
( not(or(t3,and(not(t5),t2))) != not(or(t3,and(t2,not(t5))))
| and(not(t3),or(t5,not(t2))) = not(or(t3,and(t2,not(t5)))) ),
inference(resolve,[$cnf( $equal(and(not(t3),or(t5,not(t2))),not(or(t3,and(not(t5),t2)))) )],[refute_0_23951,refute_0_23952]) ).
cnf(refute_0_23954,plain,
and(not(t3),or(t5,not(t2))) = not(or(t3,and(t2,not(t5)))),
inference(resolve,[$cnf( $equal(not(or(t3,and(not(t5),t2))),not(or(t3,and(t2,not(t5))))) )],[refute_0_23950,refute_0_23953]) ).
cnf(refute_0_23955,plain,
or(t5,and(t3,t4)) = or(t5,and(t3,t4)),
introduced(tautology,[refl,[$fot(or(t5,and(t3,t4)))]]) ).
cnf(refute_0_23956,plain,
( and(t3,t4) != not(t2)
| or(t5,and(t3,t4)) != or(t5,and(t3,t4))
| or(t5,and(t3,t4)) = or(t5,not(t2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t5,and(t3,t4)),or(t5,and(t3,t4))) ),[1,1],$fot(not(t2))]]) ).
cnf(refute_0_23957,plain,
( and(t3,t4) != not(t2)
| or(t5,and(t3,t4)) = or(t5,not(t2)) ),
inference(resolve,[$cnf( $equal(or(t5,and(t3,t4)),or(t5,and(t3,t4))) )],[refute_0_23955,refute_0_23956]) ).
cnf(refute_0_23958,plain,
or(t5,and(t3,t4)) = or(t5,not(t2)),
inference(resolve,[$cnf( $equal(and(t3,t4),not(t2)) )],[refute_0_14224,refute_0_23957]) ).
cnf(refute_0_23959,plain,
and(not(t3),or(t5,and(t3,t4))) = and(not(t3),or(t5,and(t3,t4))),
introduced(tautology,[refl,[$fot(and(not(t3),or(t5,and(t3,t4))))]]) ).
cnf(refute_0_23960,plain,
( and(not(t3),or(t5,and(t3,t4))) != and(not(t3),or(t5,and(t3,t4)))
| or(t5,and(t3,t4)) != or(t5,not(t2))
| and(not(t3),or(t5,and(t3,t4))) = and(not(t3),or(t5,not(t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t3),or(t5,and(t3,t4))),and(not(t3),or(t5,and(t3,t4)))) ),[1,1],$fot(or(t5,not(t2)))]]) ).
cnf(refute_0_23961,plain,
( or(t5,and(t3,t4)) != or(t5,not(t2))
| and(not(t3),or(t5,and(t3,t4))) = and(not(t3),or(t5,not(t2))) ),
inference(resolve,[$cnf( $equal(and(not(t3),or(t5,and(t3,t4))),and(not(t3),or(t5,and(t3,t4)))) )],[refute_0_23959,refute_0_23960]) ).
cnf(refute_0_23962,plain,
and(not(t3),or(t5,and(t3,t4))) = and(not(t3),or(t5,not(t2))),
inference(resolve,[$cnf( $equal(or(t5,and(t3,t4)),or(t5,not(t2))) )],[refute_0_23958,refute_0_23961]) ).
cnf(refute_0_23963,plain,
( and(not(t3),or(t5,and(t3,t4))) != and(not(t3),or(t5,not(t2)))
| and(not(t3),or(t5,not(t2))) != not(or(t3,and(t2,not(t5))))
| and(not(t3),or(t5,and(t3,t4))) = not(or(t3,and(t2,not(t5)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t3),or(t5,and(t3,t4))))),bind(Y0,$fot(and(not(t3),or(t5,not(t2))))),bind(Z0,$fot(not(or(t3,and(t2,not(t5))))))]]) ).
cnf(refute_0_23964,plain,
( and(not(t3),or(t5,not(t2))) != not(or(t3,and(t2,not(t5))))
| and(not(t3),or(t5,and(t3,t4))) = not(or(t3,and(t2,not(t5)))) ),
inference(resolve,[$cnf( $equal(and(not(t3),or(t5,and(t3,t4))),and(not(t3),or(t5,not(t2)))) )],[refute_0_23962,refute_0_23963]) ).
cnf(refute_0_23965,plain,
and(not(t3),or(t5,and(t3,t4))) = not(or(t3,and(t2,not(t5)))),
inference(resolve,[$cnf( $equal(and(not(t3),or(t5,not(t2))),not(or(t3,and(t2,not(t5))))) )],[refute_0_23954,refute_0_23964]) ).
cnf(refute_0_23966,plain,
( and(not(t3),or(t5,and(t3,t4))) != not(or(t3,and(t2,not(t5))))
| and(not(t3),or(t5,and(t3,t4))) != xor(t3,or(t5,and(t3,t4)))
| not(or(t3,and(t2,not(t5)))) = xor(t3,or(t5,and(t3,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t3),or(t5,and(t3,t4))),xor(t3,or(t5,and(t3,t4)))) ),[0],$fot(not(or(t3,and(t2,not(t5)))))]]) ).
cnf(refute_0_23967,plain,
( and(not(t3),or(t5,and(t3,t4))) != xor(t3,or(t5,and(t3,t4)))
| not(or(t3,and(t2,not(t5)))) = xor(t3,or(t5,and(t3,t4))) ),
inference(resolve,[$cnf( $equal(and(not(t3),or(t5,and(t3,t4))),not(or(t3,and(t2,not(t5))))) )],[refute_0_23965,refute_0_23966]) ).
cnf(refute_0_23968,plain,
xor(t3,or(t5,and(t3,t4))) = xor(t3,or(t5,and(t3,t4))),
introduced(tautology,[refl,[$fot(xor(t3,or(t5,and(t3,t4))))]]) ).
cnf(refute_0_23969,plain,
( or(t5,and(t3,t4)) != or(t5,not(t2))
| xor(t3,or(t5,and(t3,t4))) != xor(t3,or(t5,and(t3,t4)))
| xor(t3,or(t5,and(t3,t4))) = xor(t3,or(t5,not(t2))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,or(t5,and(t3,t4))),xor(t3,or(t5,and(t3,t4)))) ),[1,1],$fot(or(t5,not(t2)))]]) ).
cnf(refute_0_23970,plain,
( or(t5,and(t3,t4)) != or(t5,not(t2))
| xor(t3,or(t5,and(t3,t4))) = xor(t3,or(t5,not(t2))) ),
inference(resolve,[$cnf( $equal(xor(t3,or(t5,and(t3,t4))),xor(t3,or(t5,and(t3,t4)))) )],[refute_0_23968,refute_0_23969]) ).
cnf(refute_0_23971,plain,
xor(t3,or(t5,and(t3,t4))) = xor(t3,or(t5,not(t2))),
inference(resolve,[$cnf( $equal(or(t5,and(t3,t4)),or(t5,not(t2))) )],[refute_0_23958,refute_0_23970]) ).
cnf(refute_0_23972,plain,
( not(or(t3,and(t2,not(t5)))) != xor(t3,or(t5,and(t3,t4)))
| xor(t3,or(t5,and(t3,t4))) != xor(t3,or(t5,not(t2)))
| not(or(t3,and(t2,not(t5)))) = xor(t3,or(t5,not(t2))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(or(t3,and(t2,not(t5)))),xor(t3,or(t5,not(t2)))) ),[0],$fot(xor(t3,or(t5,and(t3,t4))))]]) ).
cnf(refute_0_23973,plain,
( not(or(t3,and(t2,not(t5)))) != xor(t3,or(t5,and(t3,t4)))
| not(or(t3,and(t2,not(t5)))) = xor(t3,or(t5,not(t2))) ),
inference(resolve,[$cnf( $equal(xor(t3,or(t5,and(t3,t4))),xor(t3,or(t5,not(t2)))) )],[refute_0_23971,refute_0_23972]) ).
cnf(refute_0_23974,plain,
( and(not(t3),or(t5,and(t3,t4))) != xor(t3,or(t5,and(t3,t4)))
| not(or(t3,and(t2,not(t5)))) = xor(t3,or(t5,not(t2))) ),
inference(resolve,[$cnf( $equal(not(or(t3,and(t2,not(t5)))),xor(t3,or(t5,and(t3,t4)))) )],[refute_0_23967,refute_0_23973]) ).
cnf(refute_0_23975,plain,
not(or(t3,and(t2,not(t5)))) = xor(t3,or(t5,not(t2))),
inference(resolve,[$cnf( $equal(and(not(t3),or(t5,and(t3,t4))),xor(t3,or(t5,and(t3,t4)))) )],[refute_0_23949,refute_0_23974]) ).
cnf(refute_0_23976,plain,
not(or(t3,not(or(t3,t5)))) = and(not(t3),or(t3,t5)),
inference(subst,[],[refute_0_801:[bind(X,$fot(or(t3,t5))),bind(X_25,$fot(t3))]]) ).
cnf(refute_0_23977,plain,
or(t3,and(t2,not(t5))) = or(t3,and(t2,not(t5))),
introduced(tautology,[refl,[$fot(or(t3,and(t2,not(t5))))]]) ).
cnf(refute_0_23978,plain,
( and(t2,not(t5)) != not(or(t3,t5))
| or(t3,and(t2,not(t5))) != or(t3,and(t2,not(t5)))
| or(t3,and(t2,not(t5))) = or(t3,not(or(t3,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,and(t2,not(t5))),or(t3,and(t2,not(t5)))) ),[1,1],$fot(not(or(t3,t5)))]]) ).
cnf(refute_0_23979,plain,
( and(t2,not(t5)) != not(or(t3,t5))
| or(t3,and(t2,not(t5))) = or(t3,not(or(t3,t5))) ),
inference(resolve,[$cnf( $equal(or(t3,and(t2,not(t5))),or(t3,and(t2,not(t5)))) )],[refute_0_23977,refute_0_23978]) ).
cnf(refute_0_23980,plain,
or(t3,and(t2,not(t5))) = or(t3,not(or(t3,t5))),
inference(resolve,[$cnf( $equal(and(t2,not(t5)),not(or(t3,t5))) )],[refute_0_20657,refute_0_23979]) ).
cnf(refute_0_23981,plain,
not(or(t3,and(t2,not(t5)))) = not(or(t3,and(t2,not(t5)))),
introduced(tautology,[refl,[$fot(not(or(t3,and(t2,not(t5)))))]]) ).
cnf(refute_0_23982,plain,
( not(or(t3,and(t2,not(t5)))) != not(or(t3,and(t2,not(t5))))
| or(t3,and(t2,not(t5))) != or(t3,not(or(t3,t5)))
| not(or(t3,and(t2,not(t5)))) = not(or(t3,not(or(t3,t5)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t3,and(t2,not(t5)))),not(or(t3,and(t2,not(t5))))) ),[1,0],$fot(or(t3,not(or(t3,t5))))]]) ).
cnf(refute_0_23983,plain,
( or(t3,and(t2,not(t5))) != or(t3,not(or(t3,t5)))
| not(or(t3,and(t2,not(t5)))) = not(or(t3,not(or(t3,t5)))) ),
inference(resolve,[$cnf( $equal(not(or(t3,and(t2,not(t5)))),not(or(t3,and(t2,not(t5))))) )],[refute_0_23981,refute_0_23982]) ).
cnf(refute_0_23984,plain,
not(or(t3,and(t2,not(t5)))) = not(or(t3,not(or(t3,t5)))),
inference(resolve,[$cnf( $equal(or(t3,and(t2,not(t5))),or(t3,not(or(t3,t5)))) )],[refute_0_23980,refute_0_23983]) ).
cnf(refute_0_23985,plain,
( not(or(t3,and(t2,not(t5)))) != not(or(t3,not(or(t3,t5))))
| not(or(t3,not(or(t3,t5)))) != and(not(t3),or(t3,t5))
| not(or(t3,and(t2,not(t5)))) = and(not(t3),or(t3,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(t3,and(t2,not(t5)))))),bind(Y0,$fot(not(or(t3,not(or(t3,t5)))))),bind(Z0,$fot(and(not(t3),or(t3,t5))))]]) ).
cnf(refute_0_23986,plain,
( not(or(t3,not(or(t3,t5)))) != and(not(t3),or(t3,t5))
| not(or(t3,and(t2,not(t5)))) = and(not(t3),or(t3,t5)) ),
inference(resolve,[$cnf( $equal(not(or(t3,and(t2,not(t5)))),not(or(t3,not(or(t3,t5))))) )],[refute_0_23984,refute_0_23985]) ).
cnf(refute_0_23987,plain,
not(or(t3,and(t2,not(t5)))) = and(not(t3),or(t3,t5)),
inference(resolve,[$cnf( $equal(not(or(t3,not(or(t3,t5)))),and(not(t3),or(t3,t5))) )],[refute_0_23976,refute_0_23986]) ).
cnf(refute_0_23988,plain,
( not(or(t3,and(t2,not(t5)))) != and(not(t3),or(t3,t5))
| not(or(t3,and(t2,not(t5)))) != xor(t3,or(t5,not(t2)))
| and(not(t3),or(t3,t5)) = xor(t3,or(t5,not(t2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t3,and(t2,not(t5)))),xor(t3,or(t5,not(t2)))) ),[0],$fot(and(not(t3),or(t3,t5)))]]) ).
cnf(refute_0_23989,plain,
( not(or(t3,and(t2,not(t5)))) != xor(t3,or(t5,not(t2)))
| and(not(t3),or(t3,t5)) = xor(t3,or(t5,not(t2))) ),
inference(resolve,[$cnf( $equal(not(or(t3,and(t2,not(t5)))),and(not(t3),or(t3,t5))) )],[refute_0_23987,refute_0_23988]) ).
cnf(refute_0_23990,plain,
and(not(t3),or(t3,t5)) = xor(t3,or(t5,not(t2))),
inference(resolve,[$cnf( $equal(not(or(t3,and(t2,not(t5)))),xor(t3,or(t5,not(t2)))) )],[refute_0_23975,refute_0_23989]) ).
cnf(refute_0_23991,plain,
xor(t3,or(t5,not(t2))) = xor(t3,or(t5,not(t2))),
introduced(tautology,[refl,[$fot(xor(t3,or(t5,not(t2))))]]) ).
cnf(refute_0_23992,plain,
( or(t5,not(t2)) != or(t3,t5)
| xor(t3,or(t5,not(t2))) != xor(t3,or(t5,not(t2)))
| xor(t3,or(t5,not(t2))) = xor(t3,or(t3,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,or(t5,not(t2))),xor(t3,or(t5,not(t2)))) ),[1,1],$fot(or(t3,t5))]]) ).
cnf(refute_0_23993,plain,
( or(t5,not(t2)) != or(t3,t5)
| xor(t3,or(t5,not(t2))) = xor(t3,or(t3,t5)) ),
inference(resolve,[$cnf( $equal(xor(t3,or(t5,not(t2))),xor(t3,or(t5,not(t2)))) )],[refute_0_23991,refute_0_23992]) ).
cnf(refute_0_23994,plain,
xor(t3,or(t5,not(t2))) = xor(t3,or(t3,t5)),
inference(resolve,[$cnf( $equal(or(t5,not(t2)),or(t3,t5)) )],[refute_0_20668,refute_0_23993]) ).
cnf(refute_0_23995,plain,
( and(not(t3),or(t3,t5)) != xor(t3,or(t5,not(t2)))
| xor(t3,or(t5,not(t2))) != xor(t3,or(t3,t5))
| and(not(t3),or(t3,t5)) = xor(t3,or(t3,t5)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(t3),or(t3,t5)),xor(t3,or(t3,t5))) ),[0],$fot(xor(t3,or(t5,not(t2))))]]) ).
cnf(refute_0_23996,plain,
( and(not(t3),or(t3,t5)) != xor(t3,or(t5,not(t2)))
| and(not(t3),or(t3,t5)) = xor(t3,or(t3,t5)) ),
inference(resolve,[$cnf( $equal(xor(t3,or(t5,not(t2))),xor(t3,or(t3,t5))) )],[refute_0_23994,refute_0_23995]) ).
cnf(refute_0_23997,plain,
and(not(t3),or(t3,t5)) = xor(t3,or(t3,t5)),
inference(resolve,[$cnf( $equal(and(not(t3),or(t3,t5)),xor(t3,or(t5,not(t2)))) )],[refute_0_23990,refute_0_23996]) ).
cnf(refute_0_23998,plain,
( and(not(t3),or(t3,t5)) != xor(t3,or(t3,t5))
| not(and(or(t3,t5),not(t3))) != not(and(not(t3),or(t3,t5)))
| not(and(or(t3,t5),not(t3))) = not(xor(t3,or(t3,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(t3,t5),not(t3))),not(and(not(t3),or(t3,t5)))) ),[1,0],$fot(xor(t3,or(t3,t5)))]]) ).
cnf(refute_0_23999,plain,
( not(and(or(t3,t5),not(t3))) != not(and(not(t3),or(t3,t5)))
| not(and(or(t3,t5),not(t3))) = not(xor(t3,or(t3,t5))) ),
inference(resolve,[$cnf( $equal(and(not(t3),or(t3,t5)),xor(t3,or(t3,t5))) )],[refute_0_23997,refute_0_23998]) ).
cnf(refute_0_24000,plain,
not(and(or(t3,t5),not(t3))) = not(xor(t3,or(t3,t5))),
inference(resolve,[$cnf( $equal(not(and(or(t3,t5),not(t3))),not(and(not(t3),or(t3,t5)))) )],[refute_0_23917,refute_0_23999]) ).
cnf(refute_0_24001,plain,
not(and(not(t3),or(t3,t5))) = or(t3,not(or(t3,t5))),
inference(subst,[],[refute_0_787:[bind(X,$fot(t3)),bind(X_32,$fot(or(t3,t5)))]]) ).
cnf(refute_0_24002,plain,
( not(and(not(t3),or(t3,t5))) != or(t3,not(or(t3,t5)))
| not(and(or(t3,t5),not(t3))) != not(and(not(t3),or(t3,t5)))
| not(and(or(t3,t5),not(t3))) = or(t3,not(or(t3,t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(or(t3,t5),not(t3))))),bind(Y0,$fot(not(and(not(t3),or(t3,t5))))),bind(Z0,$fot(or(t3,not(or(t3,t5)))))]]) ).
cnf(refute_0_24003,plain,
( not(and(not(t3),or(t3,t5))) != or(t3,not(or(t3,t5)))
| not(and(or(t3,t5),not(t3))) = or(t3,not(or(t3,t5))) ),
inference(resolve,[$cnf( $equal(not(and(or(t3,t5),not(t3))),not(and(not(t3),or(t3,t5)))) )],[refute_0_23917,refute_0_24002]) ).
cnf(refute_0_24004,plain,
not(and(or(t3,t5),not(t3))) = or(t3,not(or(t3,t5))),
inference(resolve,[$cnf( $equal(not(and(not(t3),or(t3,t5))),or(t3,not(or(t3,t5)))) )],[refute_0_24001,refute_0_24003]) ).
cnf(refute_0_24005,plain,
( not(and(or(t3,t5),not(t3))) != not(xor(t3,or(t3,t5)))
| not(and(or(t3,t5),not(t3))) != or(t3,not(or(t3,t5)))
| or(t3,not(or(t3,t5))) = not(xor(t3,or(t3,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(t3,t5),not(t3))),not(xor(t3,or(t3,t5)))) ),[0],$fot(or(t3,not(or(t3,t5))))]]) ).
cnf(refute_0_24006,plain,
( not(and(or(t3,t5),not(t3))) != not(xor(t3,or(t3,t5)))
| or(t3,not(or(t3,t5))) = not(xor(t3,or(t3,t5))) ),
inference(resolve,[$cnf( $equal(not(and(or(t3,t5),not(t3))),or(t3,not(or(t3,t5)))) )],[refute_0_24004,refute_0_24005]) ).
cnf(refute_0_24007,plain,
or(t3,not(or(t3,t5))) = not(xor(t3,or(t3,t5))),
inference(resolve,[$cnf( $equal(not(and(or(t3,t5),not(t3))),not(xor(t3,or(t3,t5)))) )],[refute_0_24000,refute_0_24006]) ).
cnf(refute_0_24008,plain,
not(or(t3,t5)) = not(or(t3,t5)),
introduced(tautology,[refl,[$fot(not(or(t3,t5)))]]) ).
cnf(refute_0_24009,plain,
( not(or(t3,t5)) != not(or(t3,t5))
| or(t3,t5) != or(a,t5)
| not(or(t3,t5)) = not(or(a,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t3,t5)),not(or(t3,t5))) ),[1,0],$fot(or(a,t5))]]) ).
cnf(refute_0_24010,plain,
( or(t3,t5) != or(a,t5)
| not(or(t3,t5)) = not(or(a,t5)) ),
inference(resolve,[$cnf( $equal(not(or(t3,t5)),not(or(t3,t5))) )],[refute_0_24008,refute_0_24009]) ).
cnf(refute_0_24011,plain,
not(or(t3,t5)) = not(or(a,t5)),
inference(resolve,[$cnf( $equal(or(t3,t5),or(a,t5)) )],[refute_0_14444,refute_0_24010]) ).
cnf(refute_0_24012,plain,
or(t3,not(or(t3,t5))) = or(t3,not(or(t3,t5))),
introduced(tautology,[refl,[$fot(or(t3,not(or(t3,t5))))]]) ).
cnf(refute_0_24013,plain,
( not(or(t3,t5)) != not(or(a,t5))
| or(t3,not(or(t3,t5))) != or(t3,not(or(t3,t5)))
| or(t3,not(or(t3,t5))) = or(t3,not(or(a,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,not(or(t3,t5))),or(t3,not(or(t3,t5)))) ),[1,1],$fot(not(or(a,t5)))]]) ).
cnf(refute_0_24014,plain,
( not(or(t3,t5)) != not(or(a,t5))
| or(t3,not(or(t3,t5))) = or(t3,not(or(a,t5))) ),
inference(resolve,[$cnf( $equal(or(t3,not(or(t3,t5))),or(t3,not(or(t3,t5)))) )],[refute_0_24012,refute_0_24013]) ).
cnf(refute_0_24015,plain,
or(t3,not(or(t3,t5))) = or(t3,not(or(a,t5))),
inference(resolve,[$cnf( $equal(not(or(t3,t5)),not(or(a,t5))) )],[refute_0_24011,refute_0_24014]) ).
cnf(refute_0_24016,plain,
( or(t3,not(or(t3,t5))) != not(xor(t3,or(t3,t5)))
| or(t3,not(or(t3,t5))) != or(t3,not(or(a,t5)))
| or(t3,not(or(a,t5))) = not(xor(t3,or(t3,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,not(or(t3,t5))),not(xor(t3,or(t3,t5)))) ),[0],$fot(or(t3,not(or(a,t5))))]]) ).
cnf(refute_0_24017,plain,
( or(t3,not(or(t3,t5))) != not(xor(t3,or(t3,t5)))
| or(t3,not(or(a,t5))) = not(xor(t3,or(t3,t5))) ),
inference(resolve,[$cnf( $equal(or(t3,not(or(t3,t5))),or(t3,not(or(a,t5)))) )],[refute_0_24015,refute_0_24016]) ).
cnf(refute_0_24018,plain,
xor(t3,or(t3,t5)) = xor(t3,or(t3,t5)),
introduced(tautology,[refl,[$fot(xor(t3,or(t3,t5)))]]) ).
cnf(refute_0_24019,plain,
( or(t3,t5) != or(a,t5)
| xor(t3,or(t3,t5)) != xor(t3,or(t3,t5))
| xor(t3,or(t3,t5)) = xor(t3,or(a,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,or(t3,t5)),xor(t3,or(t3,t5))) ),[1,1],$fot(or(a,t5))]]) ).
cnf(refute_0_24020,plain,
( or(t3,t5) != or(a,t5)
| xor(t3,or(t3,t5)) = xor(t3,or(a,t5)) ),
inference(resolve,[$cnf( $equal(xor(t3,or(t3,t5)),xor(t3,or(t3,t5))) )],[refute_0_24018,refute_0_24019]) ).
cnf(refute_0_24021,plain,
xor(t3,or(t3,t5)) = xor(t3,or(a,t5)),
inference(resolve,[$cnf( $equal(or(t3,t5),or(a,t5)) )],[refute_0_14444,refute_0_24020]) ).
cnf(refute_0_24022,plain,
not(xor(t3,or(t3,t5))) = not(xor(t3,or(t3,t5))),
introduced(tautology,[refl,[$fot(not(xor(t3,or(t3,t5))))]]) ).
cnf(refute_0_24023,plain,
( not(xor(t3,or(t3,t5))) != not(xor(t3,or(t3,t5)))
| xor(t3,or(t3,t5)) != xor(t3,or(a,t5))
| not(xor(t3,or(t3,t5))) = not(xor(t3,or(a,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t3,or(t3,t5))),not(xor(t3,or(t3,t5)))) ),[1,0],$fot(xor(t3,or(a,t5)))]]) ).
cnf(refute_0_24024,plain,
( xor(t3,or(t3,t5)) != xor(t3,or(a,t5))
| not(xor(t3,or(t3,t5))) = not(xor(t3,or(a,t5))) ),
inference(resolve,[$cnf( $equal(not(xor(t3,or(t3,t5))),not(xor(t3,or(t3,t5)))) )],[refute_0_24022,refute_0_24023]) ).
cnf(refute_0_24025,plain,
not(xor(t3,or(t3,t5))) = not(xor(t3,or(a,t5))),
inference(resolve,[$cnf( $equal(xor(t3,or(t3,t5)),xor(t3,or(a,t5))) )],[refute_0_24021,refute_0_24024]) ).
cnf(refute_0_24026,plain,
( not(xor(t3,or(t3,t5))) != not(xor(t3,or(a,t5)))
| or(t3,not(or(a,t5))) != not(xor(t3,or(t3,t5)))
| or(t3,not(or(a,t5))) = not(xor(t3,or(a,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,not(or(a,t5))),not(xor(t3,or(t3,t5)))) ),[1],$fot(not(xor(t3,or(a,t5))))]]) ).
cnf(refute_0_24027,plain,
( or(t3,not(or(a,t5))) != not(xor(t3,or(t3,t5)))
| or(t3,not(or(a,t5))) = not(xor(t3,or(a,t5))) ),
inference(resolve,[$cnf( $equal(not(xor(t3,or(t3,t5))),not(xor(t3,or(a,t5)))) )],[refute_0_24025,refute_0_24026]) ).
cnf(refute_0_24028,plain,
( or(t3,not(or(t3,t5))) != not(xor(t3,or(t3,t5)))
| or(t3,not(or(a,t5))) = not(xor(t3,or(a,t5))) ),
inference(resolve,[$cnf( $equal(or(t3,not(or(a,t5))),not(xor(t3,or(t3,t5)))) )],[refute_0_24017,refute_0_24027]) ).
cnf(refute_0_24029,plain,
or(t3,not(or(a,t5))) = not(xor(t3,or(a,t5))),
inference(resolve,[$cnf( $equal(or(t3,not(or(t3,t5))),not(xor(t3,or(t3,t5)))) )],[refute_0_24007,refute_0_24028]) ).
cnf(refute_0_24030,plain,
( and(not(or(a,t5)),or(t3,not(or(a,t5)))) != not(or(a,t5))
| or(t3,not(or(a,t5))) != not(xor(t3,or(a,t5)))
| and(not(or(a,t5)),not(xor(t3,or(a,t5)))) = not(or(a,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(or(a,t5)),or(t3,not(or(a,t5)))),not(or(a,t5))) ),[0,1],$fot(not(xor(t3,or(a,t5))))]]) ).
cnf(refute_0_24031,plain,
( and(not(or(a,t5)),or(t3,not(or(a,t5)))) != not(or(a,t5))
| and(not(or(a,t5)),not(xor(t3,or(a,t5)))) = not(or(a,t5)) ),
inference(resolve,[$cnf( $equal(or(t3,not(or(a,t5))),not(xor(t3,or(a,t5)))) )],[refute_0_24029,refute_0_24030]) ).
cnf(refute_0_24032,plain,
and(not(or(a,t5)),not(xor(t3,or(a,t5)))) = not(or(a,t5)),
inference(resolve,[$cnf( $equal(and(not(or(a,t5)),or(t3,not(or(a,t5)))),not(or(a,t5))) )],[refute_0_23916,refute_0_24031]) ).
cnf(refute_0_24033,plain,
or(and(t3,not(xor(t3,or(t5,and(t3,t4))))),and(not(t3),xor(t3,or(t5,and(t3,t4))))) = xor(t3,xor(t3,or(t5,and(t3,t4)))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t3)),bind(Y,$fot(xor(t3,or(t5,and(t3,t4)))))]]) ).
cnf(refute_0_24034,plain,
not(or(xor(t3,or(t5,and(t3,t4))),not(t3))) = not(or(not(t3),xor(t3,or(t5,and(t3,t4))))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(not(t3))),bind(X_26,$fot(xor(t3,or(t5,and(t3,t4)))))]]) ).
cnf(refute_0_24035,plain,
or(not(t3),and(not(t3),or(t5,and(t3,t4)))) = not(t3),
inference(subst,[],[or_absorption:[bind(X,$fot(not(t3))),bind(Y,$fot(or(t5,and(t3,t4))))]]) ).
cnf(refute_0_24036,plain,
( and(not(t3),or(t5,and(t3,t4))) != xor(t3,or(t5,and(t3,t4)))
| or(not(t3),and(not(t3),or(t5,and(t3,t4)))) != not(t3)
| or(not(t3),xor(t3,or(t5,and(t3,t4)))) = not(t3) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t3),and(not(t3),or(t5,and(t3,t4)))),not(t3)) ),[0,1],$fot(xor(t3,or(t5,and(t3,t4))))]]) ).
cnf(refute_0_24037,plain,
( or(not(t3),and(not(t3),or(t5,and(t3,t4)))) != not(t3)
| or(not(t3),xor(t3,or(t5,and(t3,t4)))) = not(t3) ),
inference(resolve,[$cnf( $equal(and(not(t3),or(t5,and(t3,t4))),xor(t3,or(t5,and(t3,t4)))) )],[refute_0_23949,refute_0_24036]) ).
cnf(refute_0_24038,plain,
or(not(t3),xor(t3,or(t5,and(t3,t4)))) = not(t3),
inference(resolve,[$cnf( $equal(or(not(t3),and(not(t3),or(t5,and(t3,t4)))),not(t3)) )],[refute_0_24035,refute_0_24037]) ).
cnf(refute_0_24039,plain,
( not(or(xor(t3,or(t5,and(t3,t4))),not(t3))) != not(or(not(t3),xor(t3,or(t5,and(t3,t4)))))
| or(not(t3),xor(t3,or(t5,and(t3,t4)))) != not(t3)
| not(or(xor(t3,or(t5,and(t3,t4))),not(t3))) = not(not(t3)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(t3,or(t5,and(t3,t4))),not(t3))),not(or(not(t3),xor(t3,or(t5,and(t3,t4)))))) ),[1,0],$fot(not(t3))]]) ).
cnf(refute_0_24040,plain,
( not(or(xor(t3,or(t5,and(t3,t4))),not(t3))) != not(or(not(t3),xor(t3,or(t5,and(t3,t4)))))
| not(or(xor(t3,or(t5,and(t3,t4))),not(t3))) = not(not(t3)) ),
inference(resolve,[$cnf( $equal(or(not(t3),xor(t3,or(t5,and(t3,t4)))),not(t3)) )],[refute_0_24038,refute_0_24039]) ).
cnf(refute_0_24041,plain,
not(or(xor(t3,or(t5,and(t3,t4))),not(t3))) = not(not(t3)),
inference(resolve,[$cnf( $equal(not(or(xor(t3,or(t5,and(t3,t4))),not(t3))),not(or(not(t3),xor(t3,or(t5,and(t3,t4)))))) )],[refute_0_24034,refute_0_24040]) ).
cnf(refute_0_24042,plain,
and(not(xor(t3,or(t5,and(t3,t4)))),t3) = and(t3,not(xor(t3,or(t5,and(t3,t4))))),
inference(subst,[],[refute_0_116:[bind(X,$fot(t3)),bind(Y,$fot(not(xor(t3,or(t5,and(t3,t4))))))]]) ).
cnf(refute_0_24043,plain,
not(or(xor(t3,or(t5,and(t3,t4))),not(t3))) = and(not(xor(t3,or(t5,and(t3,t4)))),t3),
inference(subst,[],[refute_0_801:[bind(X,$fot(t3)),bind(X_25,$fot(xor(t3,or(t5,and(t3,t4)))))]]) ).
cnf(refute_0_24044,plain,
( and(not(xor(t3,or(t5,and(t3,t4)))),t3) != and(t3,not(xor(t3,or(t5,and(t3,t4)))))
| not(or(xor(t3,or(t5,and(t3,t4))),not(t3))) != and(not(xor(t3,or(t5,and(t3,t4)))),t3)
| not(or(xor(t3,or(t5,and(t3,t4))),not(t3))) = and(t3,not(xor(t3,or(t5,and(t3,t4))))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(xor(t3,or(t5,and(t3,t4))),not(t3))))),bind(Y0,$fot(and(not(xor(t3,or(t5,and(t3,t4)))),t3))),bind(Z0,$fot(and(t3,not(xor(t3,or(t5,and(t3,t4)))))))]]) ).
cnf(refute_0_24045,plain,
( and(not(xor(t3,or(t5,and(t3,t4)))),t3) != and(t3,not(xor(t3,or(t5,and(t3,t4)))))
| not(or(xor(t3,or(t5,and(t3,t4))),not(t3))) = and(t3,not(xor(t3,or(t5,and(t3,t4))))) ),
inference(resolve,[$cnf( $equal(not(or(xor(t3,or(t5,and(t3,t4))),not(t3))),and(not(xor(t3,or(t5,and(t3,t4)))),t3)) )],[refute_0_24043,refute_0_24044]) ).
cnf(refute_0_24046,plain,
not(or(xor(t3,or(t5,and(t3,t4))),not(t3))) = and(t3,not(xor(t3,or(t5,and(t3,t4))))),
inference(resolve,[$cnf( $equal(and(not(xor(t3,or(t5,and(t3,t4)))),t3),and(t3,not(xor(t3,or(t5,and(t3,t4)))))) )],[refute_0_24042,refute_0_24045]) ).
cnf(refute_0_24047,plain,
( not(or(xor(t3,or(t5,and(t3,t4))),not(t3))) != and(t3,not(xor(t3,or(t5,and(t3,t4)))))
| not(or(xor(t3,or(t5,and(t3,t4))),not(t3))) != not(not(t3))
| and(t3,not(xor(t3,or(t5,and(t3,t4))))) = not(not(t3)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(t3,or(t5,and(t3,t4))),not(t3))),not(not(t3))) ),[0],$fot(and(t3,not(xor(t3,or(t5,and(t3,t4))))))]]) ).
cnf(refute_0_24048,plain,
( not(or(xor(t3,or(t5,and(t3,t4))),not(t3))) != not(not(t3))
| and(t3,not(xor(t3,or(t5,and(t3,t4))))) = not(not(t3)) ),
inference(resolve,[$cnf( $equal(not(or(xor(t3,or(t5,and(t3,t4))),not(t3))),and(t3,not(xor(t3,or(t5,and(t3,t4)))))) )],[refute_0_24046,refute_0_24047]) ).
cnf(refute_0_24049,plain,
not(not(t3)) = t3,
inference(subst,[],[not_involution:[bind(X,$fot(t3))]]) ).
cnf(refute_0_24050,plain,
( and(t3,not(xor(t3,or(t5,and(t3,t4))))) != not(not(t3))
| not(not(t3)) != t3
| and(t3,not(xor(t3,or(t5,and(t3,t4))))) = t3 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t3,not(xor(t3,or(t5,and(t3,t4))))),t3) ),[0],$fot(not(not(t3)))]]) ).
cnf(refute_0_24051,plain,
( and(t3,not(xor(t3,or(t5,and(t3,t4))))) != not(not(t3))
| and(t3,not(xor(t3,or(t5,and(t3,t4))))) = t3 ),
inference(resolve,[$cnf( $equal(not(not(t3)),t3) )],[refute_0_24049,refute_0_24050]) ).
cnf(refute_0_24052,plain,
( not(or(xor(t3,or(t5,and(t3,t4))),not(t3))) != not(not(t3))
| and(t3,not(xor(t3,or(t5,and(t3,t4))))) = t3 ),
inference(resolve,[$cnf( $equal(and(t3,not(xor(t3,or(t5,and(t3,t4))))),not(not(t3))) )],[refute_0_24048,refute_0_24051]) ).
cnf(refute_0_24053,plain,
and(t3,not(xor(t3,or(t5,and(t3,t4))))) = t3,
inference(resolve,[$cnf( $equal(not(or(xor(t3,or(t5,and(t3,t4))),not(t3))),not(not(t3))) )],[refute_0_24041,refute_0_24052]) ).
cnf(refute_0_24054,plain,
( and(t3,not(xor(t3,or(t5,and(t3,t4))))) != t3
| or(and(t3,not(xor(t3,or(t5,and(t3,t4))))),and(not(t3),xor(t3,or(t5,and(t3,t4))))) != xor(t3,xor(t3,or(t5,and(t3,t4))))
| or(t3,and(not(t3),xor(t3,or(t5,and(t3,t4))))) = xor(t3,xor(t3,or(t5,and(t3,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t3,not(xor(t3,or(t5,and(t3,t4))))),and(not(t3),xor(t3,or(t5,and(t3,t4))))),xor(t3,xor(t3,or(t5,and(t3,t4))))) ),[0,0],$fot(t3)]]) ).
cnf(refute_0_24055,plain,
( or(and(t3,not(xor(t3,or(t5,and(t3,t4))))),and(not(t3),xor(t3,or(t5,and(t3,t4))))) != xor(t3,xor(t3,or(t5,and(t3,t4))))
| or(t3,and(not(t3),xor(t3,or(t5,and(t3,t4))))) = xor(t3,xor(t3,or(t5,and(t3,t4)))) ),
inference(resolve,[$cnf( $equal(and(t3,not(xor(t3,or(t5,and(t3,t4))))),t3) )],[refute_0_24053,refute_0_24054]) ).
cnf(refute_0_24056,plain,
or(t3,and(not(t3),xor(t3,or(t5,and(t3,t4))))) = xor(t3,xor(t3,or(t5,and(t3,t4)))),
inference(resolve,[$cnf( $equal(or(and(t3,not(xor(t3,or(t5,and(t3,t4))))),and(not(t3),xor(t3,or(t5,and(t3,t4))))),xor(t3,xor(t3,or(t5,and(t3,t4))))) )],[refute_0_24033,refute_0_24055]) ).
cnf(refute_0_24057,plain,
and(xor(t3,or(t5,and(t3,t4))),or(not(t3),xor(t3,or(t5,and(t3,t4))))) = xor(t3,or(t5,and(t3,t4))),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(xor(t3,or(t5,and(t3,t4))))),bind(X_20,$fot(not(t3)))]]) ).
cnf(refute_0_24058,plain,
( and(xor(t3,or(t5,and(t3,t4))),or(not(t3),xor(t3,or(t5,and(t3,t4))))) != xor(t3,or(t5,and(t3,t4)))
| or(not(t3),xor(t3,or(t5,and(t3,t4)))) != not(t3)
| and(xor(t3,or(t5,and(t3,t4))),not(t3)) = xor(t3,or(t5,and(t3,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t3,or(t5,and(t3,t4))),or(not(t3),xor(t3,or(t5,and(t3,t4))))),xor(t3,or(t5,and(t3,t4)))) ),[0,1],$fot(not(t3))]]) ).
cnf(refute_0_24059,plain,
( and(xor(t3,or(t5,and(t3,t4))),or(not(t3),xor(t3,or(t5,and(t3,t4))))) != xor(t3,or(t5,and(t3,t4)))
| and(xor(t3,or(t5,and(t3,t4))),not(t3)) = xor(t3,or(t5,and(t3,t4))) ),
inference(resolve,[$cnf( $equal(or(not(t3),xor(t3,or(t5,and(t3,t4)))),not(t3)) )],[refute_0_24038,refute_0_24058]) ).
cnf(refute_0_24060,plain,
and(xor(t3,or(t5,and(t3,t4))),not(t3)) = xor(t3,or(t5,and(t3,t4))),
inference(resolve,[$cnf( $equal(and(xor(t3,or(t5,and(t3,t4))),or(not(t3),xor(t3,or(t5,and(t3,t4))))),xor(t3,or(t5,and(t3,t4)))) )],[refute_0_24057,refute_0_24059]) ).
cnf(refute_0_24061,plain,
and(xor(t3,or(t5,and(t3,t4))),not(t3)) = and(not(t3),xor(t3,or(t5,and(t3,t4)))),
inference(subst,[],[refute_0_116:[bind(X,$fot(not(t3))),bind(Y,$fot(xor(t3,or(t5,and(t3,t4)))))]]) ).
cnf(refute_0_24062,plain,
( and(xor(t3,or(t5,and(t3,t4))),not(t3)) != and(not(t3),xor(t3,or(t5,and(t3,t4))))
| and(xor(t3,or(t5,and(t3,t4))),not(t3)) != xor(t3,or(t5,and(t3,t4)))
| and(not(t3),xor(t3,or(t5,and(t3,t4)))) = xor(t3,or(t5,and(t3,t4))) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t3,or(t5,and(t3,t4))),not(t3)),xor(t3,or(t5,and(t3,t4)))) ),[0],$fot(and(not(t3),xor(t3,or(t5,and(t3,t4)))))]]) ).
cnf(refute_0_24063,plain,
( and(xor(t3,or(t5,and(t3,t4))),not(t3)) != xor(t3,or(t5,and(t3,t4)))
| and(not(t3),xor(t3,or(t5,and(t3,t4)))) = xor(t3,or(t5,and(t3,t4))) ),
inference(resolve,[$cnf( $equal(and(xor(t3,or(t5,and(t3,t4))),not(t3)),and(not(t3),xor(t3,or(t5,and(t3,t4))))) )],[refute_0_24061,refute_0_24062]) ).
cnf(refute_0_24064,plain,
and(not(t3),xor(t3,or(t5,and(t3,t4)))) = xor(t3,or(t5,and(t3,t4))),
inference(resolve,[$cnf( $equal(and(xor(t3,or(t5,and(t3,t4))),not(t3)),xor(t3,or(t5,and(t3,t4)))) )],[refute_0_24060,refute_0_24063]) ).
cnf(refute_0_24065,plain,
or(t3,and(not(t3),xor(t3,or(t5,and(t3,t4))))) = or(t3,and(not(t3),xor(t3,or(t5,and(t3,t4))))),
introduced(tautology,[refl,[$fot(or(t3,and(not(t3),xor(t3,or(t5,and(t3,t4))))))]]) ).
cnf(refute_0_24066,plain,
( and(not(t3),xor(t3,or(t5,and(t3,t4)))) != xor(t3,or(t5,and(t3,t4)))
| or(t3,and(not(t3),xor(t3,or(t5,and(t3,t4))))) != or(t3,and(not(t3),xor(t3,or(t5,and(t3,t4)))))
| or(t3,and(not(t3),xor(t3,or(t5,and(t3,t4))))) = or(t3,xor(t3,or(t5,and(t3,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,and(not(t3),xor(t3,or(t5,and(t3,t4))))),or(t3,and(not(t3),xor(t3,or(t5,and(t3,t4)))))) ),[1,1],$fot(xor(t3,or(t5,and(t3,t4))))]]) ).
cnf(refute_0_24067,plain,
( and(not(t3),xor(t3,or(t5,and(t3,t4)))) != xor(t3,or(t5,and(t3,t4)))
| or(t3,and(not(t3),xor(t3,or(t5,and(t3,t4))))) = or(t3,xor(t3,or(t5,and(t3,t4)))) ),
inference(resolve,[$cnf( $equal(or(t3,and(not(t3),xor(t3,or(t5,and(t3,t4))))),or(t3,and(not(t3),xor(t3,or(t5,and(t3,t4)))))) )],[refute_0_24065,refute_0_24066]) ).
cnf(refute_0_24068,plain,
or(t3,and(not(t3),xor(t3,or(t5,and(t3,t4))))) = or(t3,xor(t3,or(t5,and(t3,t4)))),
inference(resolve,[$cnf( $equal(and(not(t3),xor(t3,or(t5,and(t3,t4)))),xor(t3,or(t5,and(t3,t4)))) )],[refute_0_24064,refute_0_24067]) ).
cnf(refute_0_24069,plain,
( or(t3,and(not(t3),xor(t3,or(t5,and(t3,t4))))) != or(t3,xor(t3,or(t5,and(t3,t4))))
| or(t3,and(not(t3),xor(t3,or(t5,and(t3,t4))))) != xor(t3,xor(t3,or(t5,and(t3,t4))))
| or(t3,xor(t3,or(t5,and(t3,t4)))) = xor(t3,xor(t3,or(t5,and(t3,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,and(not(t3),xor(t3,or(t5,and(t3,t4))))),xor(t3,xor(t3,or(t5,and(t3,t4))))) ),[0],$fot(or(t3,xor(t3,or(t5,and(t3,t4)))))]]) ).
cnf(refute_0_24070,plain,
( or(t3,and(not(t3),xor(t3,or(t5,and(t3,t4))))) != xor(t3,xor(t3,or(t5,and(t3,t4))))
| or(t3,xor(t3,or(t5,and(t3,t4)))) = xor(t3,xor(t3,or(t5,and(t3,t4)))) ),
inference(resolve,[$cnf( $equal(or(t3,and(not(t3),xor(t3,or(t5,and(t3,t4))))),or(t3,xor(t3,or(t5,and(t3,t4))))) )],[refute_0_24068,refute_0_24069]) ).
cnf(refute_0_24071,plain,
or(t3,xor(t3,or(t5,and(t3,t4)))) = xor(t3,xor(t3,or(t5,and(t3,t4)))),
inference(resolve,[$cnf( $equal(or(t3,and(not(t3),xor(t3,or(t5,and(t3,t4))))),xor(t3,xor(t3,or(t5,and(t3,t4))))) )],[refute_0_24056,refute_0_24070]) ).
cnf(refute_0_24072,plain,
xor(t3,xor(t3,or(t5,and(t3,t4)))) = or(t5,and(t3,t4)),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(t3)),bind(X_335,$fot(or(t5,and(t3,t4))))]]) ).
cnf(refute_0_24073,plain,
( or(t3,xor(t3,or(t5,and(t3,t4)))) != xor(t3,xor(t3,or(t5,and(t3,t4))))
| xor(t3,xor(t3,or(t5,and(t3,t4)))) != or(t5,and(t3,t4))
| or(t3,xor(t3,or(t5,and(t3,t4)))) = or(t5,and(t3,t4)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(t3,xor(t3,or(t5,and(t3,t4)))),or(t5,and(t3,t4))) ),[0],$fot(xor(t3,xor(t3,or(t5,and(t3,t4)))))]]) ).
cnf(refute_0_24074,plain,
( or(t3,xor(t3,or(t5,and(t3,t4)))) != xor(t3,xor(t3,or(t5,and(t3,t4))))
| or(t3,xor(t3,or(t5,and(t3,t4)))) = or(t5,and(t3,t4)) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(t3,or(t5,and(t3,t4)))),or(t5,and(t3,t4))) )],[refute_0_24072,refute_0_24073]) ).
cnf(refute_0_24075,plain,
or(t3,xor(t3,or(t5,and(t3,t4)))) = or(t5,and(t3,t4)),
inference(resolve,[$cnf( $equal(or(t3,xor(t3,or(t5,and(t3,t4)))),xor(t3,xor(t3,or(t5,and(t3,t4))))) )],[refute_0_24071,refute_0_24074]) ).
cnf(refute_0_24076,plain,
or(t3,xor(t3,or(t5,and(t3,t4)))) = or(t3,xor(t3,or(t5,and(t3,t4)))),
introduced(tautology,[refl,[$fot(or(t3,xor(t3,or(t5,and(t3,t4)))))]]) ).
cnf(refute_0_24077,plain,
( or(t3,xor(t3,or(t5,and(t3,t4)))) != or(t3,xor(t3,or(t5,and(t3,t4))))
| xor(t3,or(t5,and(t3,t4))) != xor(t3,or(t5,not(t2)))
| or(t3,xor(t3,or(t5,and(t3,t4)))) = or(t3,xor(t3,or(t5,not(t2)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,xor(t3,or(t5,and(t3,t4)))),or(t3,xor(t3,or(t5,and(t3,t4))))) ),[1,1],$fot(xor(t3,or(t5,not(t2))))]]) ).
cnf(refute_0_24078,plain,
( xor(t3,or(t5,and(t3,t4))) != xor(t3,or(t5,not(t2)))
| or(t3,xor(t3,or(t5,and(t3,t4)))) = or(t3,xor(t3,or(t5,not(t2)))) ),
inference(resolve,[$cnf( $equal(or(t3,xor(t3,or(t5,and(t3,t4)))),or(t3,xor(t3,or(t5,and(t3,t4))))) )],[refute_0_24076,refute_0_24077]) ).
cnf(refute_0_24079,plain,
or(t3,xor(t3,or(t5,and(t3,t4)))) = or(t3,xor(t3,or(t5,not(t2)))),
inference(resolve,[$cnf( $equal(xor(t3,or(t5,and(t3,t4))),xor(t3,or(t5,not(t2)))) )],[refute_0_23971,refute_0_24078]) ).
cnf(refute_0_24080,plain,
( or(t3,xor(t3,or(t5,and(t3,t4)))) != or(t3,xor(t3,or(t5,not(t2))))
| or(t3,xor(t3,or(t5,and(t3,t4)))) != or(t5,and(t3,t4))
| or(t3,xor(t3,or(t5,not(t2)))) = or(t5,and(t3,t4)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,xor(t3,or(t5,and(t3,t4)))),or(t5,and(t3,t4))) ),[0],$fot(or(t3,xor(t3,or(t5,not(t2)))))]]) ).
cnf(refute_0_24081,plain,
( or(t3,xor(t3,or(t5,and(t3,t4)))) != or(t5,and(t3,t4))
| or(t3,xor(t3,or(t5,not(t2)))) = or(t5,and(t3,t4)) ),
inference(resolve,[$cnf( $equal(or(t3,xor(t3,or(t5,and(t3,t4)))),or(t3,xor(t3,or(t5,not(t2))))) )],[refute_0_24079,refute_0_24080]) ).
cnf(refute_0_24082,plain,
( or(t3,xor(t3,or(t5,not(t2)))) != or(t5,and(t3,t4))
| or(t5,and(t3,t4)) != or(t5,not(t2))
| or(t3,xor(t3,or(t5,not(t2)))) = or(t5,not(t2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(t3,xor(t3,or(t5,not(t2)))),or(t5,not(t2))) ),[0],$fot(or(t5,and(t3,t4)))]]) ).
cnf(refute_0_24083,plain,
( or(t3,xor(t3,or(t5,not(t2)))) != or(t5,and(t3,t4))
| or(t3,xor(t3,or(t5,not(t2)))) = or(t5,not(t2)) ),
inference(resolve,[$cnf( $equal(or(t5,and(t3,t4)),or(t5,not(t2))) )],[refute_0_23958,refute_0_24082]) ).
cnf(refute_0_24084,plain,
( or(t3,xor(t3,or(t5,and(t3,t4)))) != or(t5,and(t3,t4))
| or(t3,xor(t3,or(t5,not(t2)))) = or(t5,not(t2)) ),
inference(resolve,[$cnf( $equal(or(t3,xor(t3,or(t5,not(t2)))),or(t5,and(t3,t4))) )],[refute_0_24081,refute_0_24083]) ).
cnf(refute_0_24085,plain,
or(t3,xor(t3,or(t5,not(t2)))) = or(t5,not(t2)),
inference(resolve,[$cnf( $equal(or(t3,xor(t3,or(t5,and(t3,t4)))),or(t5,and(t3,t4))) )],[refute_0_24075,refute_0_24084]) ).
cnf(refute_0_24086,plain,
( and(not(t3),or(t3,t5)) != xor(t3,or(t5,not(t2)))
| xor(t3,or(t5,not(t2))) = and(not(t3),or(t3,t5)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t3),or(t3,t5)))),bind(Y0,$fot(xor(t3,or(t5,not(t2)))))]]) ).
cnf(refute_0_24087,plain,
xor(t3,or(t5,not(t2))) = and(not(t3),or(t3,t5)),
inference(resolve,[$cnf( $equal(and(not(t3),or(t3,t5)),xor(t3,or(t5,not(t2)))) )],[refute_0_23990,refute_0_24086]) ).
cnf(refute_0_24088,plain,
or(t3,xor(t3,or(t5,not(t2)))) = or(t3,xor(t3,or(t5,not(t2)))),
introduced(tautology,[refl,[$fot(or(t3,xor(t3,or(t5,not(t2)))))]]) ).
cnf(refute_0_24089,plain,
( or(t3,xor(t3,or(t5,not(t2)))) != or(t3,xor(t3,or(t5,not(t2))))
| xor(t3,or(t5,not(t2))) != and(not(t3),or(t3,t5))
| or(t3,xor(t3,or(t5,not(t2)))) = or(t3,and(not(t3),or(t3,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,xor(t3,or(t5,not(t2)))),or(t3,xor(t3,or(t5,not(t2))))) ),[1,1],$fot(and(not(t3),or(t3,t5)))]]) ).
cnf(refute_0_24090,plain,
( xor(t3,or(t5,not(t2))) != and(not(t3),or(t3,t5))
| or(t3,xor(t3,or(t5,not(t2)))) = or(t3,and(not(t3),or(t3,t5))) ),
inference(resolve,[$cnf( $equal(or(t3,xor(t3,or(t5,not(t2)))),or(t3,xor(t3,or(t5,not(t2))))) )],[refute_0_24088,refute_0_24089]) ).
cnf(refute_0_24091,plain,
or(t3,xor(t3,or(t5,not(t2)))) = or(t3,and(not(t3),or(t3,t5))),
inference(resolve,[$cnf( $equal(xor(t3,or(t5,not(t2))),and(not(t3),or(t3,t5))) )],[refute_0_24087,refute_0_24090]) ).
cnf(refute_0_24092,plain,
( or(t3,xor(t3,or(t5,not(t2)))) != or(t3,and(not(t3),or(t3,t5)))
| or(t3,xor(t3,or(t5,not(t2)))) != or(t5,not(t2))
| or(t3,and(not(t3),or(t3,t5))) = or(t5,not(t2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,xor(t3,or(t5,not(t2)))),or(t5,not(t2))) ),[0],$fot(or(t3,and(not(t3),or(t3,t5))))]]) ).
cnf(refute_0_24093,plain,
( or(t3,xor(t3,or(t5,not(t2)))) != or(t5,not(t2))
| or(t3,and(not(t3),or(t3,t5))) = or(t5,not(t2)) ),
inference(resolve,[$cnf( $equal(or(t3,xor(t3,or(t5,not(t2)))),or(t3,and(not(t3),or(t3,t5)))) )],[refute_0_24091,refute_0_24092]) ).
cnf(refute_0_24094,plain,
or(t3,and(not(t3),or(t3,t5))) = or(t5,not(t2)),
inference(resolve,[$cnf( $equal(or(t3,xor(t3,or(t5,not(t2)))),or(t5,not(t2))) )],[refute_0_24085,refute_0_24093]) ).
cnf(refute_0_24095,plain,
or(t3,and(not(t3),or(t3,t5))) = or(t3,and(not(t3),or(t3,t5))),
introduced(tautology,[refl,[$fot(or(t3,and(not(t3),or(t3,t5))))]]) ).
cnf(refute_0_24096,plain,
( and(not(t3),or(t3,t5)) != xor(t3,or(t3,t5))
| or(t3,and(not(t3),or(t3,t5))) != or(t3,and(not(t3),or(t3,t5)))
| or(t3,and(not(t3),or(t3,t5))) = or(t3,xor(t3,or(t3,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,and(not(t3),or(t3,t5))),or(t3,and(not(t3),or(t3,t5)))) ),[1,1],$fot(xor(t3,or(t3,t5)))]]) ).
cnf(refute_0_24097,plain,
( and(not(t3),or(t3,t5)) != xor(t3,or(t3,t5))
| or(t3,and(not(t3),or(t3,t5))) = or(t3,xor(t3,or(t3,t5))) ),
inference(resolve,[$cnf( $equal(or(t3,and(not(t3),or(t3,t5))),or(t3,and(not(t3),or(t3,t5)))) )],[refute_0_24095,refute_0_24096]) ).
cnf(refute_0_24098,plain,
or(t3,and(not(t3),or(t3,t5))) = or(t3,xor(t3,or(t3,t5))),
inference(resolve,[$cnf( $equal(and(not(t3),or(t3,t5)),xor(t3,or(t3,t5))) )],[refute_0_23997,refute_0_24097]) ).
cnf(refute_0_24099,plain,
( or(t3,and(not(t3),or(t3,t5))) != or(t3,xor(t3,or(t3,t5)))
| or(t3,and(not(t3),or(t3,t5))) != or(t5,not(t2))
| or(t3,xor(t3,or(t3,t5))) = or(t5,not(t2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,and(not(t3),or(t3,t5))),or(t5,not(t2))) ),[0],$fot(or(t3,xor(t3,or(t3,t5))))]]) ).
cnf(refute_0_24100,plain,
( or(t3,and(not(t3),or(t3,t5))) != or(t5,not(t2))
| or(t3,xor(t3,or(t3,t5))) = or(t5,not(t2)) ),
inference(resolve,[$cnf( $equal(or(t3,and(not(t3),or(t3,t5))),or(t3,xor(t3,or(t3,t5)))) )],[refute_0_24098,refute_0_24099]) ).
cnf(refute_0_24101,plain,
( or(t3,xor(t3,or(t3,t5))) != or(t5,not(t2))
| or(t5,not(t2)) != or(t3,t5)
| or(t3,xor(t3,or(t3,t5))) = or(t3,t5) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(t3,xor(t3,or(t3,t5))),or(t3,t5)) ),[0],$fot(or(t5,not(t2)))]]) ).
cnf(refute_0_24102,plain,
( or(t3,xor(t3,or(t3,t5))) != or(t5,not(t2))
| or(t3,xor(t3,or(t3,t5))) = or(t3,t5) ),
inference(resolve,[$cnf( $equal(or(t5,not(t2)),or(t3,t5)) )],[refute_0_20668,refute_0_24101]) ).
cnf(refute_0_24103,plain,
( or(t3,and(not(t3),or(t3,t5))) != or(t5,not(t2))
| or(t3,xor(t3,or(t3,t5))) = or(t3,t5) ),
inference(resolve,[$cnf( $equal(or(t3,xor(t3,or(t3,t5))),or(t5,not(t2))) )],[refute_0_24100,refute_0_24102]) ).
cnf(refute_0_24104,plain,
or(t3,xor(t3,or(t3,t5))) = or(t3,t5),
inference(resolve,[$cnf( $equal(or(t3,and(not(t3),or(t3,t5))),or(t5,not(t2))) )],[refute_0_24094,refute_0_24103]) ).
cnf(refute_0_24105,plain,
or(t3,xor(t3,or(t3,t5))) = or(t3,xor(t3,or(t3,t5))),
introduced(tautology,[refl,[$fot(or(t3,xor(t3,or(t3,t5))))]]) ).
cnf(refute_0_24106,plain,
( or(t3,xor(t3,or(t3,t5))) != or(t3,xor(t3,or(t3,t5)))
| xor(t3,or(t3,t5)) != xor(t3,or(a,t5))
| or(t3,xor(t3,or(t3,t5))) = or(t3,xor(t3,or(a,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,xor(t3,or(t3,t5))),or(t3,xor(t3,or(t3,t5)))) ),[1,1],$fot(xor(t3,or(a,t5)))]]) ).
cnf(refute_0_24107,plain,
( xor(t3,or(t3,t5)) != xor(t3,or(a,t5))
| or(t3,xor(t3,or(t3,t5))) = or(t3,xor(t3,or(a,t5))) ),
inference(resolve,[$cnf( $equal(or(t3,xor(t3,or(t3,t5))),or(t3,xor(t3,or(t3,t5)))) )],[refute_0_24105,refute_0_24106]) ).
cnf(refute_0_24108,plain,
or(t3,xor(t3,or(t3,t5))) = or(t3,xor(t3,or(a,t5))),
inference(resolve,[$cnf( $equal(xor(t3,or(t3,t5)),xor(t3,or(a,t5))) )],[refute_0_24021,refute_0_24107]) ).
cnf(refute_0_24109,plain,
( or(t3,xor(t3,or(t3,t5))) != or(t3,t5)
| or(t3,xor(t3,or(t3,t5))) != or(t3,xor(t3,or(a,t5)))
| or(t3,xor(t3,or(a,t5))) = or(t3,t5) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,xor(t3,or(t3,t5))),or(t3,t5)) ),[0],$fot(or(t3,xor(t3,or(a,t5))))]]) ).
cnf(refute_0_24110,plain,
( or(t3,xor(t3,or(t3,t5))) != or(t3,t5)
| or(t3,xor(t3,or(a,t5))) = or(t3,t5) ),
inference(resolve,[$cnf( $equal(or(t3,xor(t3,or(t3,t5))),or(t3,xor(t3,or(a,t5)))) )],[refute_0_24108,refute_0_24109]) ).
cnf(refute_0_24111,plain,
( or(t3,t5) != or(a,t5)
| or(t3,xor(t3,or(a,t5))) != or(t3,t5)
| or(t3,xor(t3,or(a,t5))) = or(a,t5) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,xor(t3,or(a,t5))),or(t3,t5)) ),[1],$fot(or(a,t5))]]) ).
cnf(refute_0_24112,plain,
( or(t3,xor(t3,or(a,t5))) != or(t3,t5)
| or(t3,xor(t3,or(a,t5))) = or(a,t5) ),
inference(resolve,[$cnf( $equal(or(t3,t5),or(a,t5)) )],[refute_0_14444,refute_0_24111]) ).
cnf(refute_0_24113,plain,
( or(t3,xor(t3,or(t3,t5))) != or(t3,t5)
| or(t3,xor(t3,or(a,t5))) = or(a,t5) ),
inference(resolve,[$cnf( $equal(or(t3,xor(t3,or(a,t5))),or(t3,t5)) )],[refute_0_24110,refute_0_24112]) ).
cnf(refute_0_24114,plain,
or(t3,xor(t3,or(a,t5))) = or(a,t5),
inference(resolve,[$cnf( $equal(or(t3,xor(t3,or(t3,t5))),or(t3,t5)) )],[refute_0_24104,refute_0_24113]) ).
cnf(refute_0_24115,plain,
not(or(t3,xor(t3,or(a,t5)))) = not(or(t3,xor(t3,or(a,t5)))),
introduced(tautology,[refl,[$fot(not(or(t3,xor(t3,or(a,t5)))))]]) ).
cnf(refute_0_24116,plain,
( not(or(t3,xor(t3,or(a,t5)))) != not(or(t3,xor(t3,or(a,t5))))
| or(t3,xor(t3,or(a,t5))) != or(a,t5)
| not(or(t3,xor(t3,or(a,t5)))) = not(or(a,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t3,xor(t3,or(a,t5)))),not(or(t3,xor(t3,or(a,t5))))) ),[1,0],$fot(or(a,t5))]]) ).
cnf(refute_0_24117,plain,
( or(t3,xor(t3,or(a,t5))) != or(a,t5)
| not(or(t3,xor(t3,or(a,t5)))) = not(or(a,t5)) ),
inference(resolve,[$cnf( $equal(not(or(t3,xor(t3,or(a,t5)))),not(or(t3,xor(t3,or(a,t5))))) )],[refute_0_24115,refute_0_24116]) ).
cnf(refute_0_24118,plain,
not(or(t3,xor(t3,or(a,t5)))) = not(or(a,t5)),
inference(resolve,[$cnf( $equal(or(t3,xor(t3,or(a,t5))),or(a,t5)) )],[refute_0_24114,refute_0_24117]) ).
cnf(refute_0_24119,plain,
and(not(t3),not(xor(t3,or(a,t5)))) = not(or(t3,xor(t3,or(a,t5)))),
inference(subst,[],[refute_0_101:[bind(X,$fot(t3)),bind(Y,$fot(xor(t3,or(a,t5))))]]) ).
cnf(refute_0_24120,plain,
( and(not(t3),not(xor(t3,or(a,t5)))) != not(or(t3,xor(t3,or(a,t5))))
| not(or(t3,xor(t3,or(a,t5)))) != not(or(a,t5))
| and(not(t3),not(xor(t3,or(a,t5)))) = not(or(a,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t3),not(xor(t3,or(a,t5)))))),bind(Y0,$fot(not(or(t3,xor(t3,or(a,t5)))))),bind(Z0,$fot(not(or(a,t5))))]]) ).
cnf(refute_0_24121,plain,
( not(or(t3,xor(t3,or(a,t5)))) != not(or(a,t5))
| and(not(t3),not(xor(t3,or(a,t5)))) = not(or(a,t5)) ),
inference(resolve,[$cnf( $equal(and(not(t3),not(xor(t3,or(a,t5)))),not(or(t3,xor(t3,or(a,t5))))) )],[refute_0_24119,refute_0_24120]) ).
cnf(refute_0_24122,plain,
and(not(t3),not(xor(t3,or(a,t5)))) = not(or(a,t5)),
inference(resolve,[$cnf( $equal(not(or(t3,xor(t3,or(a,t5)))),not(or(a,t5))) )],[refute_0_24118,refute_0_24121]) ).
cnf(refute_0_24123,plain,
and(cin,and(not(t3),not(xor(t3,or(a,t5))))) = and(cin,and(not(t3),not(xor(t3,or(a,t5))))),
introduced(tautology,[refl,[$fot(and(cin,and(not(t3),not(xor(t3,or(a,t5))))))]]) ).
cnf(refute_0_24124,plain,
( and(cin,and(not(t3),not(xor(t3,or(a,t5))))) != and(cin,and(not(t3),not(xor(t3,or(a,t5)))))
| and(not(t3),not(xor(t3,or(a,t5)))) != not(or(a,t5))
| and(cin,and(not(t3),not(xor(t3,or(a,t5))))) = and(cin,not(or(a,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,and(not(t3),not(xor(t3,or(a,t5))))),and(cin,and(not(t3),not(xor(t3,or(a,t5)))))) ),[1,1],$fot(not(or(a,t5)))]]) ).
cnf(refute_0_24125,plain,
( and(not(t3),not(xor(t3,or(a,t5)))) != not(or(a,t5))
| and(cin,and(not(t3),not(xor(t3,or(a,t5))))) = and(cin,not(or(a,t5))) ),
inference(resolve,[$cnf( $equal(and(cin,and(not(t3),not(xor(t3,or(a,t5))))),and(cin,and(not(t3),not(xor(t3,or(a,t5)))))) )],[refute_0_24123,refute_0_24124]) ).
cnf(refute_0_24126,plain,
and(cin,and(not(t3),not(xor(t3,or(a,t5))))) = and(cin,not(or(a,t5))),
inference(resolve,[$cnf( $equal(and(not(t3),not(xor(t3,or(a,t5)))),not(or(a,t5))) )],[refute_0_24122,refute_0_24125]) ).
cnf(refute_0_24127,plain,
and(and(cin,not(t3)),Z) = and(cin,and(not(t3),Z)),
inference(subst,[],[and_associative:[bind(X,$fot(cin)),bind(Y,$fot(not(t3)))]]) ).
cnf(refute_0_24128,plain,
( and(and(cin,not(t3)),Z) != and(cin,and(not(t3),Z))
| and(cin,not(t3)) != not(or(t3,t5))
| and(not(or(t3,t5)),Z) = and(cin,and(not(t3),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(cin,not(t3)),Z),and(cin,and(not(t3),Z))) ),[0,0],$fot(not(or(t3,t5)))]]) ).
cnf(refute_0_24129,plain,
( and(and(cin,not(t3)),Z) != and(cin,and(not(t3),Z))
| and(not(or(t3,t5)),Z) = and(cin,and(not(t3),Z)) ),
inference(resolve,[$cnf( $equal(and(cin,not(t3)),not(or(t3,t5))) )],[refute_0_20653,refute_0_24128]) ).
cnf(refute_0_24130,plain,
and(not(or(t3,t5)),Z) = and(cin,and(not(t3),Z)),
inference(resolve,[$cnf( $equal(and(and(cin,not(t3)),Z),and(cin,and(not(t3),Z))) )],[refute_0_24127,refute_0_24129]) ).
cnf(refute_0_24131,plain,
and(not(or(t3,t5)),Z) = and(not(or(t3,t5)),Z),
introduced(tautology,[refl,[$fot(and(not(or(t3,t5)),Z))]]) ).
cnf(refute_0_24132,plain,
( and(not(or(t3,t5)),Z) != and(not(or(t3,t5)),Z)
| not(or(t3,t5)) != not(or(a,t5))
| and(not(or(t3,t5)),Z) = and(not(or(a,t5)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(or(t3,t5)),Z),and(not(or(t3,t5)),Z)) ),[1,0],$fot(not(or(a,t5)))]]) ).
cnf(refute_0_24133,plain,
( not(or(t3,t5)) != not(or(a,t5))
| and(not(or(t3,t5)),Z) = and(not(or(a,t5)),Z) ),
inference(resolve,[$cnf( $equal(and(not(or(t3,t5)),Z),and(not(or(t3,t5)),Z)) )],[refute_0_24131,refute_0_24132]) ).
cnf(refute_0_24134,plain,
and(not(or(t3,t5)),Z) = and(not(or(a,t5)),Z),
inference(resolve,[$cnf( $equal(not(or(t3,t5)),not(or(a,t5))) )],[refute_0_24011,refute_0_24133]) ).
cnf(refute_0_24135,plain,
( and(not(or(t3,t5)),Z) != and(cin,and(not(t3),Z))
| and(not(or(t3,t5)),Z) != and(not(or(a,t5)),Z)
| and(not(or(a,t5)),Z) = and(cin,and(not(t3),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(or(t3,t5)),Z),and(cin,and(not(t3),Z))) ),[0],$fot(and(not(or(a,t5)),Z))]]) ).
cnf(refute_0_24136,plain,
( and(not(or(t3,t5)),Z) != and(cin,and(not(t3),Z))
| and(not(or(a,t5)),Z) = and(cin,and(not(t3),Z)) ),
inference(resolve,[$cnf( $equal(and(not(or(t3,t5)),Z),and(not(or(a,t5)),Z)) )],[refute_0_24134,refute_0_24135]) ).
cnf(refute_0_24137,plain,
and(not(or(a,t5)),Z) = and(cin,and(not(t3),Z)),
inference(resolve,[$cnf( $equal(and(not(or(t3,t5)),Z),and(cin,and(not(t3),Z))) )],[refute_0_24130,refute_0_24136]) ).
cnf(refute_0_24138,plain,
and(not(or(a,t5)),not(xor(t3,or(a,t5)))) = and(cin,and(not(t3),not(xor(t3,or(a,t5))))),
inference(subst,[],[refute_0_24137:[bind(Z,$fot(not(xor(t3,or(a,t5)))))]]) ).
cnf(refute_0_24139,plain,
( and(cin,and(not(t3),not(xor(t3,or(a,t5))))) != and(cin,not(or(a,t5)))
| and(not(or(a,t5)),not(xor(t3,or(a,t5)))) != and(cin,and(not(t3),not(xor(t3,or(a,t5)))))
| and(not(or(a,t5)),not(xor(t3,or(a,t5)))) = and(cin,not(or(a,t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(or(a,t5)),not(xor(t3,or(a,t5)))))),bind(Y0,$fot(and(cin,and(not(t3),not(xor(t3,or(a,t5))))))),bind(Z0,$fot(and(cin,not(or(a,t5)))))]]) ).
cnf(refute_0_24140,plain,
( and(cin,and(not(t3),not(xor(t3,or(a,t5))))) != and(cin,not(or(a,t5)))
| and(not(or(a,t5)),not(xor(t3,or(a,t5)))) = and(cin,not(or(a,t5))) ),
inference(resolve,[$cnf( $equal(and(not(or(a,t5)),not(xor(t3,or(a,t5)))),and(cin,and(not(t3),not(xor(t3,or(a,t5)))))) )],[refute_0_24138,refute_0_24139]) ).
cnf(refute_0_24141,plain,
and(not(or(a,t5)),not(xor(t3,or(a,t5)))) = and(cin,not(or(a,t5))),
inference(resolve,[$cnf( $equal(and(cin,and(not(t3),not(xor(t3,or(a,t5))))),and(cin,not(or(a,t5)))) )],[refute_0_24126,refute_0_24140]) ).
cnf(refute_0_24142,plain,
( and(not(or(a,t5)),not(xor(t3,or(a,t5)))) != and(cin,not(or(a,t5)))
| and(not(or(a,t5)),not(xor(t3,or(a,t5)))) != not(or(a,t5))
| and(cin,not(or(a,t5))) = not(or(a,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(or(a,t5)),not(xor(t3,or(a,t5)))),not(or(a,t5))) ),[0],$fot(and(cin,not(or(a,t5))))]]) ).
cnf(refute_0_24143,plain,
( and(not(or(a,t5)),not(xor(t3,or(a,t5)))) != not(or(a,t5))
| and(cin,not(or(a,t5))) = not(or(a,t5)) ),
inference(resolve,[$cnf( $equal(and(not(or(a,t5)),not(xor(t3,or(a,t5)))),and(cin,not(or(a,t5)))) )],[refute_0_24141,refute_0_24142]) ).
cnf(refute_0_24144,plain,
and(cin,not(or(a,t5))) = not(or(a,t5)),
inference(resolve,[$cnf( $equal(and(not(or(a,t5)),not(xor(t3,or(a,t5)))),not(or(a,t5))) )],[refute_0_24032,refute_0_24143]) ).
cnf(refute_0_24145,plain,
( and(cin,not(or(a,t5))) != not(or(a,t5))
| or(and(cin,not(or(a,t5))),and(not(cin),or(a,t5))) != xor(cin,or(a,t5))
| or(not(or(a,t5)),and(not(cin),or(a,t5))) = xor(cin,or(a,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(cin,not(or(a,t5))),and(not(cin),or(a,t5))),xor(cin,or(a,t5))) ),[0,0],$fot(not(or(a,t5)))]]) ).
cnf(refute_0_24146,plain,
( or(and(cin,not(or(a,t5))),and(not(cin),or(a,t5))) != xor(cin,or(a,t5))
| or(not(or(a,t5)),and(not(cin),or(a,t5))) = xor(cin,or(a,t5)) ),
inference(resolve,[$cnf( $equal(and(cin,not(or(a,t5))),not(or(a,t5))) )],[refute_0_24144,refute_0_24145]) ).
cnf(refute_0_24147,plain,
or(not(or(a,t5)),and(not(cin),or(a,t5))) = xor(cin,or(a,t5)),
inference(resolve,[$cnf( $equal(or(and(cin,not(or(a,t5))),and(not(cin),or(a,t5))),xor(cin,or(a,t5))) )],[refute_0_23915,refute_0_24146]) ).
cnf(refute_0_24148,plain,
and(or(a,t5),cin) = and(cin,or(a,t5)),
inference(subst,[],[refute_0_116:[bind(X,$fot(cin)),bind(Y,$fot(or(a,t5)))]]) ).
cnf(refute_0_24149,plain,
or(cin,and(cin,not(t3))) = cin,
inference(subst,[],[or_absorption:[bind(X,$fot(cin)),bind(Y,$fot(not(t3)))]]) ).
cnf(refute_0_24150,plain,
( and(cin,not(t3)) != not(or(t3,t5))
| or(cin,and(cin,not(t3))) != cin
| or(cin,not(or(t3,t5))) = cin ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,and(cin,not(t3))),cin) ),[0,1],$fot(not(or(t3,t5)))]]) ).
cnf(refute_0_24151,plain,
( or(cin,and(cin,not(t3))) != cin
| or(cin,not(or(t3,t5))) = cin ),
inference(resolve,[$cnf( $equal(and(cin,not(t3)),not(or(t3,t5))) )],[refute_0_20653,refute_0_24150]) ).
cnf(refute_0_24152,plain,
or(cin,not(or(t3,t5))) = cin,
inference(resolve,[$cnf( $equal(or(cin,and(cin,not(t3))),cin) )],[refute_0_24149,refute_0_24151]) ).
cnf(refute_0_24153,plain,
or(cin,not(or(t3,t5))) = or(cin,not(or(t3,t5))),
introduced(tautology,[refl,[$fot(or(cin,not(or(t3,t5))))]]) ).
cnf(refute_0_24154,plain,
( not(or(t3,t5)) != not(or(a,t5))
| or(cin,not(or(t3,t5))) != or(cin,not(or(t3,t5)))
| or(cin,not(or(t3,t5))) = or(cin,not(or(a,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,not(or(t3,t5))),or(cin,not(or(t3,t5)))) ),[1,1],$fot(not(or(a,t5)))]]) ).
cnf(refute_0_24155,plain,
( not(or(t3,t5)) != not(or(a,t5))
| or(cin,not(or(t3,t5))) = or(cin,not(or(a,t5))) ),
inference(resolve,[$cnf( $equal(or(cin,not(or(t3,t5))),or(cin,not(or(t3,t5)))) )],[refute_0_24153,refute_0_24154]) ).
cnf(refute_0_24156,plain,
or(cin,not(or(t3,t5))) = or(cin,not(or(a,t5))),
inference(resolve,[$cnf( $equal(not(or(t3,t5)),not(or(a,t5))) )],[refute_0_24011,refute_0_24155]) ).
cnf(refute_0_24157,plain,
( or(cin,not(or(t3,t5))) != cin
| or(cin,not(or(t3,t5))) != or(cin,not(or(a,t5)))
| or(cin,not(or(a,t5))) = cin ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,not(or(t3,t5))),cin) ),[0],$fot(or(cin,not(or(a,t5))))]]) ).
cnf(refute_0_24158,plain,
( or(cin,not(or(t3,t5))) != cin
| or(cin,not(or(a,t5))) = cin ),
inference(resolve,[$cnf( $equal(or(cin,not(or(t3,t5))),or(cin,not(or(a,t5)))) )],[refute_0_24156,refute_0_24157]) ).
cnf(refute_0_24159,plain,
or(cin,not(or(a,t5))) = cin,
inference(resolve,[$cnf( $equal(or(cin,not(or(t3,t5))),cin) )],[refute_0_24152,refute_0_24158]) ).
cnf(refute_0_24160,plain,
and(or(a,t5),or(cin,not(or(a,t5)))) = and(or(a,t5),or(cin,not(or(a,t5)))),
introduced(tautology,[refl,[$fot(and(or(a,t5),or(cin,not(or(a,t5)))))]]) ).
cnf(refute_0_24161,plain,
( and(or(a,t5),or(cin,not(or(a,t5)))) != and(or(a,t5),or(cin,not(or(a,t5))))
| or(cin,not(or(a,t5))) != cin
| and(or(a,t5),or(cin,not(or(a,t5)))) = and(or(a,t5),cin) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(a,t5),or(cin,not(or(a,t5)))),and(or(a,t5),or(cin,not(or(a,t5))))) ),[1,1],$fot(cin)]]) ).
cnf(refute_0_24162,plain,
( or(cin,not(or(a,t5))) != cin
| and(or(a,t5),or(cin,not(or(a,t5)))) = and(or(a,t5),cin) ),
inference(resolve,[$cnf( $equal(and(or(a,t5),or(cin,not(or(a,t5)))),and(or(a,t5),or(cin,not(or(a,t5))))) )],[refute_0_24160,refute_0_24161]) ).
cnf(refute_0_24163,plain,
and(or(a,t5),or(cin,not(or(a,t5)))) = and(or(a,t5),cin),
inference(resolve,[$cnf( $equal(or(cin,not(or(a,t5))),cin) )],[refute_0_24159,refute_0_24162]) ).
cnf(refute_0_24164,plain,
( and(or(a,t5),cin) != and(cin,or(a,t5))
| and(or(a,t5),or(cin,not(or(a,t5)))) != and(or(a,t5),cin)
| and(or(a,t5),or(cin,not(or(a,t5)))) = and(cin,or(a,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(or(a,t5),or(cin,not(or(a,t5)))))),bind(Y0,$fot(and(or(a,t5),cin))),bind(Z0,$fot(and(cin,or(a,t5))))]]) ).
cnf(refute_0_24165,plain,
( and(or(a,t5),cin) != and(cin,or(a,t5))
| and(or(a,t5),or(cin,not(or(a,t5)))) = and(cin,or(a,t5)) ),
inference(resolve,[$cnf( $equal(and(or(a,t5),or(cin,not(or(a,t5)))),and(or(a,t5),cin)) )],[refute_0_24163,refute_0_24164]) ).
cnf(refute_0_24166,plain,
and(or(a,t5),or(cin,not(or(a,t5)))) = and(cin,or(a,t5)),
inference(resolve,[$cnf( $equal(and(or(a,t5),cin),and(cin,or(a,t5))) )],[refute_0_24148,refute_0_24165]) ).
cnf(refute_0_24167,plain,
not(and(or(a,t5),or(cin,not(or(a,t5))))) = not(and(or(a,t5),or(cin,not(or(a,t5))))),
introduced(tautology,[refl,[$fot(not(and(or(a,t5),or(cin,not(or(a,t5))))))]]) ).
cnf(refute_0_24168,plain,
( and(or(a,t5),or(cin,not(or(a,t5)))) != and(cin,or(a,t5))
| not(and(or(a,t5),or(cin,not(or(a,t5))))) != not(and(or(a,t5),or(cin,not(or(a,t5)))))
| not(and(or(a,t5),or(cin,not(or(a,t5))))) = not(and(cin,or(a,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(a,t5),or(cin,not(or(a,t5))))),not(and(or(a,t5),or(cin,not(or(a,t5)))))) ),[1,0],$fot(and(cin,or(a,t5)))]]) ).
cnf(refute_0_24169,plain,
( and(or(a,t5),or(cin,not(or(a,t5)))) != and(cin,or(a,t5))
| not(and(or(a,t5),or(cin,not(or(a,t5))))) = not(and(cin,or(a,t5))) ),
inference(resolve,[$cnf( $equal(not(and(or(a,t5),or(cin,not(or(a,t5))))),not(and(or(a,t5),or(cin,not(or(a,t5)))))) )],[refute_0_24167,refute_0_24168]) ).
cnf(refute_0_24170,plain,
not(and(or(a,t5),or(cin,not(or(a,t5))))) = not(and(cin,or(a,t5))),
inference(resolve,[$cnf( $equal(and(or(a,t5),or(cin,not(or(a,t5)))),and(cin,or(a,t5))) )],[refute_0_24166,refute_0_24169]) ).
cnf(refute_0_24171,plain,
or(not(or(a,t5)),and(not(cin),or(a,t5))) = not(and(or(a,t5),or(cin,not(or(a,t5))))),
inference(subst,[],[refute_0_1337:[bind(X,$fot(or(a,t5))),bind(X_78,$fot(or(a,t5))),bind(X_79,$fot(cin))]]) ).
cnf(refute_0_24172,plain,
( not(and(or(a,t5),or(cin,not(or(a,t5))))) != not(and(cin,or(a,t5)))
| or(not(or(a,t5)),and(not(cin),or(a,t5))) != not(and(or(a,t5),or(cin,not(or(a,t5)))))
| or(not(or(a,t5)),and(not(cin),or(a,t5))) = not(and(cin,or(a,t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(or(a,t5)),and(not(cin),or(a,t5))))),bind(Y0,$fot(not(and(or(a,t5),or(cin,not(or(a,t5))))))),bind(Z0,$fot(not(and(cin,or(a,t5)))))]]) ).
cnf(refute_0_24173,plain,
( not(and(or(a,t5),or(cin,not(or(a,t5))))) != not(and(cin,or(a,t5)))
| or(not(or(a,t5)),and(not(cin),or(a,t5))) = not(and(cin,or(a,t5))) ),
inference(resolve,[$cnf( $equal(or(not(or(a,t5)),and(not(cin),or(a,t5))),not(and(or(a,t5),or(cin,not(or(a,t5)))))) )],[refute_0_24171,refute_0_24172]) ).
cnf(refute_0_24174,plain,
or(not(or(a,t5)),and(not(cin),or(a,t5))) = not(and(cin,or(a,t5))),
inference(resolve,[$cnf( $equal(not(and(or(a,t5),or(cin,not(or(a,t5))))),not(and(cin,or(a,t5)))) )],[refute_0_24170,refute_0_24173]) ).
cnf(refute_0_24175,plain,
( or(not(or(a,t5)),and(not(cin),or(a,t5))) != not(and(cin,or(a,t5)))
| or(not(or(a,t5)),and(not(cin),or(a,t5))) != xor(cin,or(a,t5))
| not(and(cin,or(a,t5))) = xor(cin,or(a,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(or(a,t5)),and(not(cin),or(a,t5))),xor(cin,or(a,t5))) ),[0],$fot(not(and(cin,or(a,t5))))]]) ).
cnf(refute_0_24176,plain,
( or(not(or(a,t5)),and(not(cin),or(a,t5))) != xor(cin,or(a,t5))
| not(and(cin,or(a,t5))) = xor(cin,or(a,t5)) ),
inference(resolve,[$cnf( $equal(or(not(or(a,t5)),and(not(cin),or(a,t5))),not(and(cin,or(a,t5)))) )],[refute_0_24174,refute_0_24175]) ).
cnf(refute_0_24177,plain,
not(and(cin,or(a,t5))) = xor(cin,or(a,t5)),
inference(resolve,[$cnf( $equal(or(not(or(a,t5)),and(not(cin),or(a,t5))),xor(cin,or(a,t5))) )],[refute_0_24147,refute_0_24176]) ).
cnf(refute_0_24178,plain,
and(cin,or(X_753,t5)) = or(and(cin,X_753),and(cin,t5)),
inference(subst,[],[or_distributive:[bind(X,$fot(cin)),bind(Y,$fot(X_753)),bind(Z,$fot(t5))]]) ).
cnf(refute_0_24179,plain,
( and(cin,or(X_753,t5)) != or(and(cin,X_753),and(cin,t5))
| and(cin,t5) != not(t7)
| and(cin,or(X_753,t5)) = or(and(cin,X_753),not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,or(X_753,t5)),or(and(cin,X_753),and(cin,t5))) ),[1,1],$fot(not(t7))]]) ).
cnf(refute_0_24180,plain,
( and(cin,or(X_753,t5)) != or(and(cin,X_753),and(cin,t5))
| and(cin,or(X_753,t5)) = or(and(cin,X_753),not(t7)) ),
inference(resolve,[$cnf( $equal(and(cin,t5),not(t7)) )],[refute_0_200,refute_0_24179]) ).
cnf(refute_0_24181,plain,
and(cin,or(X_753,t5)) = or(and(cin,X_753),not(t7)),
inference(resolve,[$cnf( $equal(and(cin,or(X_753,t5)),or(and(cin,X_753),and(cin,t5))) )],[refute_0_24178,refute_0_24180]) ).
cnf(refute_0_24182,plain,
and(cin,or(X_753,sum)) = or(and(cin,X_753),and(cin,sum)),
inference(subst,[],[or_distributive:[bind(X,$fot(cin)),bind(Y,$fot(X_753)),bind(Z,$fot(sum))]]) ).
cnf(refute_0_24183,plain,
( and(cin,or(X_753,sum)) != or(and(cin,X_753),and(cin,sum))
| and(cin,sum) != not(t7)
| and(cin,or(X_753,sum)) = or(and(cin,X_753),not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,or(X_753,sum)),or(and(cin,X_753),and(cin,sum))) ),[1,1],$fot(not(t7))]]) ).
cnf(refute_0_24184,plain,
( and(cin,or(X_753,sum)) != or(and(cin,X_753),and(cin,sum))
| and(cin,or(X_753,sum)) = or(and(cin,X_753),not(t7)) ),
inference(resolve,[$cnf( $equal(and(cin,sum),not(t7)) )],[refute_0_7154,refute_0_24183]) ).
cnf(refute_0_24185,plain,
and(cin,or(X_753,sum)) = or(and(cin,X_753),not(t7)),
inference(resolve,[$cnf( $equal(and(cin,or(X_753,sum)),or(and(cin,X_753),and(cin,sum))) )],[refute_0_24182,refute_0_24184]) ).
cnf(refute_0_24186,plain,
and(cin,or(X_753,not(t4))) = or(and(cin,X_753),and(cin,not(t4))),
inference(subst,[],[or_distributive:[bind(X,$fot(cin)),bind(Y,$fot(X_753)),bind(Z,$fot(not(t4)))]]) ).
cnf(refute_0_24187,plain,
( and(cin,not(t4)) != not(t7)
| and(cin,or(X_753,not(t4))) != or(and(cin,X_753),and(cin,not(t4)))
| and(cin,or(X_753,not(t4))) = or(and(cin,X_753),not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,or(X_753,not(t4))),or(and(cin,X_753),and(cin,not(t4)))) ),[1,1],$fot(not(t7))]]) ).
cnf(refute_0_24188,plain,
( and(cin,or(X_753,not(t4))) != or(and(cin,X_753),and(cin,not(t4)))
| and(cin,or(X_753,not(t4))) = or(and(cin,X_753),not(t7)) ),
inference(resolve,[$cnf( $equal(and(cin,not(t4)),not(t7)) )],[refute_0_5566,refute_0_24187]) ).
cnf(refute_0_24189,plain,
and(cin,or(X_753,not(t4))) = or(and(cin,X_753),not(t7)),
inference(resolve,[$cnf( $equal(and(cin,or(X_753,not(t4))),or(and(cin,X_753),and(cin,not(t4)))) )],[refute_0_24186,refute_0_24188]) ).
cnf(refute_0_24190,plain,
or(and(cin,X_753),not(t7)) = or(not(t7),and(cin,X_753)),
inference(subst,[],[refute_0_5:[bind(X,$fot(not(t7))),bind(Y,$fot(and(cin,X_753)))]]) ).
cnf(refute_0_24191,plain,
( and(cin,or(X_753,not(t4))) != or(and(cin,X_753),not(t7))
| or(and(cin,X_753),not(t7)) != or(not(t7),and(cin,X_753))
| and(cin,or(X_753,not(t4))) = or(not(t7),and(cin,X_753)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(cin,or(X_753,not(t4))),or(not(t7),and(cin,X_753))) ),[0],$fot(or(and(cin,X_753),not(t7)))]]) ).
cnf(refute_0_24192,plain,
( and(cin,or(X_753,not(t4))) != or(and(cin,X_753),not(t7))
| and(cin,or(X_753,not(t4))) = or(not(t7),and(cin,X_753)) ),
inference(resolve,[$cnf( $equal(or(and(cin,X_753),not(t7)),or(not(t7),and(cin,X_753))) )],[refute_0_24190,refute_0_24191]) ).
cnf(refute_0_24193,plain,
and(cin,or(X_753,not(t4))) = or(not(t7),and(cin,X_753)),
inference(resolve,[$cnf( $equal(and(cin,or(X_753,not(t4))),or(and(cin,X_753),not(t7))) )],[refute_0_24189,refute_0_24192]) ).
cnf(refute_0_24194,plain,
( and(cin,or(X_753,not(t4))) != or(not(t7),and(cin,X_753))
| or(not(t7),and(cin,X_753)) = and(cin,or(X_753,not(t4))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(cin,or(X_753,not(t4))))),bind(Y0,$fot(or(not(t7),and(cin,X_753))))]]) ).
cnf(refute_0_24195,plain,
or(not(t7),and(cin,X_753)) = and(cin,or(X_753,not(t4))),
inference(resolve,[$cnf( $equal(and(cin,or(X_753,not(t4))),or(not(t7),and(cin,X_753))) )],[refute_0_24193,refute_0_24194]) ).
cnf(refute_0_24196,plain,
( or(and(cin,X_753),not(t7)) != or(not(t7),and(cin,X_753))
| or(not(t7),and(cin,X_753)) != and(cin,or(X_753,not(t4)))
| or(and(cin,X_753),not(t7)) = and(cin,or(X_753,not(t4))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(cin,X_753),not(t7)))),bind(Y0,$fot(or(not(t7),and(cin,X_753)))),bind(Z0,$fot(and(cin,or(X_753,not(t4)))))]]) ).
cnf(refute_0_24197,plain,
( or(not(t7),and(cin,X_753)) != and(cin,or(X_753,not(t4)))
| or(and(cin,X_753),not(t7)) = and(cin,or(X_753,not(t4))) ),
inference(resolve,[$cnf( $equal(or(and(cin,X_753),not(t7)),or(not(t7),and(cin,X_753))) )],[refute_0_24190,refute_0_24196]) ).
cnf(refute_0_24198,plain,
or(and(cin,X_753),not(t7)) = and(cin,or(X_753,not(t4))),
inference(resolve,[$cnf( $equal(or(not(t7),and(cin,X_753)),and(cin,or(X_753,not(t4)))) )],[refute_0_24195,refute_0_24197]) ).
cnf(refute_0_24199,plain,
( and(cin,or(X_753,sum)) != or(and(cin,X_753),not(t7))
| or(and(cin,X_753),not(t7)) != and(cin,or(X_753,not(t4)))
| and(cin,or(X_753,sum)) = and(cin,or(X_753,not(t4))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(cin,or(X_753,sum)),and(cin,or(X_753,not(t4)))) ),[0],$fot(or(and(cin,X_753),not(t7)))]]) ).
cnf(refute_0_24200,plain,
( and(cin,or(X_753,sum)) != or(and(cin,X_753),not(t7))
| and(cin,or(X_753,sum)) = and(cin,or(X_753,not(t4))) ),
inference(resolve,[$cnf( $equal(or(and(cin,X_753),not(t7)),and(cin,or(X_753,not(t4)))) )],[refute_0_24198,refute_0_24199]) ).
cnf(refute_0_24201,plain,
and(cin,or(X_753,sum)) = and(cin,or(X_753,not(t4))),
inference(resolve,[$cnf( $equal(and(cin,or(X_753,sum)),or(and(cin,X_753),not(t7))) )],[refute_0_24185,refute_0_24200]) ).
cnf(refute_0_24202,plain,
( and(cin,or(X_753,sum)) != and(cin,or(X_753,not(t4)))
| and(cin,or(X_753,not(t4))) = and(cin,or(X_753,sum)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(cin,or(X_753,sum)))),bind(Y0,$fot(and(cin,or(X_753,not(t4)))))]]) ).
cnf(refute_0_24203,plain,
and(cin,or(X_753,not(t4))) = and(cin,or(X_753,sum)),
inference(resolve,[$cnf( $equal(and(cin,or(X_753,sum)),and(cin,or(X_753,not(t4)))) )],[refute_0_24201,refute_0_24202]) ).
cnf(refute_0_24204,plain,
( and(cin,or(X_753,not(t4))) != and(cin,or(X_753,sum))
| or(not(t7),and(cin,X_753)) != and(cin,or(X_753,not(t4)))
| or(not(t7),and(cin,X_753)) = and(cin,or(X_753,sum)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t7),and(cin,X_753)))),bind(Y0,$fot(and(cin,or(X_753,not(t4))))),bind(Z0,$fot(and(cin,or(X_753,sum))))]]) ).
cnf(refute_0_24205,plain,
( and(cin,or(X_753,not(t4))) != and(cin,or(X_753,sum))
| or(not(t7),and(cin,X_753)) = and(cin,or(X_753,sum)) ),
inference(resolve,[$cnf( $equal(or(not(t7),and(cin,X_753)),and(cin,or(X_753,not(t4)))) )],[refute_0_24195,refute_0_24204]) ).
cnf(refute_0_24206,plain,
or(not(t7),and(cin,X_753)) = and(cin,or(X_753,sum)),
inference(resolve,[$cnf( $equal(and(cin,or(X_753,not(t4))),and(cin,or(X_753,sum))) )],[refute_0_24203,refute_0_24205]) ).
cnf(refute_0_24207,plain,
( or(and(cin,X_753),not(t7)) != or(not(t7),and(cin,X_753))
| or(not(t7),and(cin,X_753)) != and(cin,or(X_753,sum))
| or(and(cin,X_753),not(t7)) = and(cin,or(X_753,sum)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(cin,X_753),not(t7)))),bind(Y0,$fot(or(not(t7),and(cin,X_753)))),bind(Z0,$fot(and(cin,or(X_753,sum))))]]) ).
cnf(refute_0_24208,plain,
( or(not(t7),and(cin,X_753)) != and(cin,or(X_753,sum))
| or(and(cin,X_753),not(t7)) = and(cin,or(X_753,sum)) ),
inference(resolve,[$cnf( $equal(or(and(cin,X_753),not(t7)),or(not(t7),and(cin,X_753))) )],[refute_0_24190,refute_0_24207]) ).
cnf(refute_0_24209,plain,
or(and(cin,X_753),not(t7)) = and(cin,or(X_753,sum)),
inference(resolve,[$cnf( $equal(or(not(t7),and(cin,X_753)),and(cin,or(X_753,sum))) )],[refute_0_24206,refute_0_24208]) ).
cnf(refute_0_24210,plain,
( and(cin,or(X_753,t5)) != or(and(cin,X_753),not(t7))
| or(and(cin,X_753),not(t7)) != and(cin,or(X_753,sum))
| and(cin,or(X_753,t5)) = and(cin,or(X_753,sum)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(cin,or(X_753,t5)),and(cin,or(X_753,sum))) ),[0],$fot(or(and(cin,X_753),not(t7)))]]) ).
cnf(refute_0_24211,plain,
( and(cin,or(X_753,t5)) != or(and(cin,X_753),not(t7))
| and(cin,or(X_753,t5)) = and(cin,or(X_753,sum)) ),
inference(resolve,[$cnf( $equal(or(and(cin,X_753),not(t7)),and(cin,or(X_753,sum))) )],[refute_0_24209,refute_0_24210]) ).
cnf(refute_0_24212,plain,
and(cin,or(X_753,t5)) = and(cin,or(X_753,sum)),
inference(resolve,[$cnf( $equal(and(cin,or(X_753,t5)),or(and(cin,X_753),not(t7))) )],[refute_0_24181,refute_0_24211]) ).
cnf(refute_0_24213,plain,
and(cin,or(a,t5)) = and(cin,or(a,sum)),
inference(subst,[],[refute_0_24212:[bind(X_753,$fot(a))]]) ).
cnf(refute_0_24214,plain,
not(and(cin,or(a,t5))) = not(and(cin,or(a,t5))),
introduced(tautology,[refl,[$fot(not(and(cin,or(a,t5))))]]) ).
cnf(refute_0_24215,plain,
( and(cin,or(a,t5)) != and(cin,or(a,sum))
| not(and(cin,or(a,t5))) != not(and(cin,or(a,t5)))
| not(and(cin,or(a,t5))) = not(and(cin,or(a,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(cin,or(a,t5))),not(and(cin,or(a,t5)))) ),[1,0],$fot(and(cin,or(a,sum)))]]) ).
cnf(refute_0_24216,plain,
( and(cin,or(a,t5)) != and(cin,or(a,sum))
| not(and(cin,or(a,t5))) = not(and(cin,or(a,sum))) ),
inference(resolve,[$cnf( $equal(not(and(cin,or(a,t5))),not(and(cin,or(a,t5)))) )],[refute_0_24214,refute_0_24215]) ).
cnf(refute_0_24217,plain,
not(and(cin,or(a,t5))) = not(and(cin,or(a,sum))),
inference(resolve,[$cnf( $equal(and(cin,or(a,t5)),and(cin,or(a,sum))) )],[refute_0_24213,refute_0_24216]) ).
cnf(refute_0_24218,plain,
( not(and(cin,or(a,t5))) != not(and(cin,or(a,sum)))
| not(and(cin,or(a,t5))) != xor(cin,or(a,t5))
| not(and(cin,or(a,sum))) = xor(cin,or(a,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(cin,or(a,t5))),xor(cin,or(a,t5))) ),[0],$fot(not(and(cin,or(a,sum))))]]) ).
cnf(refute_0_24219,plain,
( not(and(cin,or(a,t5))) != xor(cin,or(a,t5))
| not(and(cin,or(a,sum))) = xor(cin,or(a,t5)) ),
inference(resolve,[$cnf( $equal(not(and(cin,or(a,t5))),not(and(cin,or(a,sum)))) )],[refute_0_24217,refute_0_24218]) ).
cnf(refute_0_24220,plain,
not(and(cin,or(a,sum))) = xor(cin,or(a,t5)),
inference(resolve,[$cnf( $equal(not(and(cin,or(a,t5))),xor(cin,or(a,t5))) )],[refute_0_24177,refute_0_24219]) ).
cnf(refute_0_24221,plain,
and(cin,not(xor(t3,or(a,t6)))) = and(cin,not(xor(t3,or(a,t6)))),
introduced(tautology,[refl,[$fot(and(cin,not(xor(t3,or(a,t6)))))]]) ).
cnf(refute_0_24222,plain,
( and(cin,not(xor(t3,or(a,t6)))) != and(cin,not(xor(t3,or(a,t6))))
| not(xor(t3,or(a,t6))) != or(a,t5)
| and(cin,not(xor(t3,or(a,t6)))) = and(cin,or(a,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,not(xor(t3,or(a,t6)))),and(cin,not(xor(t3,or(a,t6))))) ),[1,1],$fot(or(a,t5))]]) ).
cnf(refute_0_24223,plain,
( not(xor(t3,or(a,t6))) != or(a,t5)
| and(cin,not(xor(t3,or(a,t6)))) = and(cin,or(a,t5)) ),
inference(resolve,[$cnf( $equal(and(cin,not(xor(t3,or(a,t6)))),and(cin,not(xor(t3,or(a,t6))))) )],[refute_0_24221,refute_0_24222]) ).
cnf(refute_0_24224,plain,
and(cin,not(xor(t3,or(a,t6)))) = and(cin,or(a,t5)),
inference(resolve,[$cnf( $equal(not(xor(t3,or(a,t6))),or(a,t5)) )],[refute_0_22080,refute_0_24223]) ).
cnf(refute_0_24225,plain,
( and(cin,not(xor(t3,or(a,t6)))) != and(cin,or(a,t5))
| and(cin,or(a,t5)) != and(cin,or(a,sum))
| and(cin,not(xor(t3,or(a,t6)))) = and(cin,or(a,sum)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(cin,not(xor(t3,or(a,t6)))))),bind(Y0,$fot(and(cin,or(a,t5)))),bind(Z0,$fot(and(cin,or(a,sum))))]]) ).
cnf(refute_0_24226,plain,
( and(cin,or(a,t5)) != and(cin,or(a,sum))
| and(cin,not(xor(t3,or(a,t6)))) = and(cin,or(a,sum)) ),
inference(resolve,[$cnf( $equal(and(cin,not(xor(t3,or(a,t6)))),and(cin,or(a,t5))) )],[refute_0_24224,refute_0_24225]) ).
cnf(refute_0_24227,plain,
and(cin,not(xor(t3,or(a,t6)))) = and(cin,or(a,sum)),
inference(resolve,[$cnf( $equal(and(cin,or(a,t5)),and(cin,or(a,sum))) )],[refute_0_24213,refute_0_24226]) ).
cnf(refute_0_24228,plain,
( and(cin,not(xor(t3,or(a,t6)))) != and(cin,or(a,sum))
| and(cin,not(xor(t3,or(a,t6)))) != xor(cin,xor(t3,or(a,t6)))
| and(cin,or(a,sum)) = xor(cin,xor(t3,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,not(xor(t3,or(a,t6)))),xor(cin,xor(t3,or(a,t6)))) ),[0],$fot(and(cin,or(a,sum)))]]) ).
cnf(refute_0_24229,plain,
( and(cin,not(xor(t3,or(a,t6)))) != xor(cin,xor(t3,or(a,t6)))
| and(cin,or(a,sum)) = xor(cin,xor(t3,or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(cin,not(xor(t3,or(a,t6)))),and(cin,or(a,sum))) )],[refute_0_24227,refute_0_24228]) ).
cnf(refute_0_24230,plain,
xor(cin,not(or(a,t5))) = not(xor(cin,or(a,t5))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(cin)),bind(X_334,$fot(or(a,t5)))]]) ).
cnf(refute_0_24231,plain,
xor(cin,xor(t3,or(a,t6))) = xor(cin,xor(t3,or(a,t6))),
introduced(tautology,[refl,[$fot(xor(cin,xor(t3,or(a,t6))))]]) ).
cnf(refute_0_24232,plain,
( xor(cin,xor(t3,or(a,t6))) != xor(cin,xor(t3,or(a,t6)))
| xor(t3,or(a,t6)) != not(or(a,t5))
| xor(cin,xor(t3,or(a,t6))) = xor(cin,not(or(a,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(cin,xor(t3,or(a,t6))),xor(cin,xor(t3,or(a,t6)))) ),[1,1],$fot(not(or(a,t5)))]]) ).
cnf(refute_0_24233,plain,
( xor(t3,or(a,t6)) != not(or(a,t5))
| xor(cin,xor(t3,or(a,t6))) = xor(cin,not(or(a,t5))) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t3,or(a,t6))),xor(cin,xor(t3,or(a,t6)))) )],[refute_0_24231,refute_0_24232]) ).
cnf(refute_0_24234,plain,
xor(cin,xor(t3,or(a,t6))) = xor(cin,not(or(a,t5))),
inference(resolve,[$cnf( $equal(xor(t3,or(a,t6)),not(or(a,t5))) )],[refute_0_22073,refute_0_24233]) ).
cnf(refute_0_24235,plain,
( xor(cin,not(or(a,t5))) != not(xor(cin,or(a,t5)))
| xor(cin,xor(t3,or(a,t6))) != xor(cin,not(or(a,t5)))
| xor(cin,xor(t3,or(a,t6))) = not(xor(cin,or(a,t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(cin,xor(t3,or(a,t6))))),bind(Y0,$fot(xor(cin,not(or(a,t5))))),bind(Z0,$fot(not(xor(cin,or(a,t5)))))]]) ).
cnf(refute_0_24236,plain,
( xor(cin,not(or(a,t5))) != not(xor(cin,or(a,t5)))
| xor(cin,xor(t3,or(a,t6))) = not(xor(cin,or(a,t5))) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t3,or(a,t6))),xor(cin,not(or(a,t5)))) )],[refute_0_24234,refute_0_24235]) ).
cnf(refute_0_24237,plain,
xor(cin,xor(t3,or(a,t6))) = not(xor(cin,or(a,t5))),
inference(resolve,[$cnf( $equal(xor(cin,not(or(a,t5))),not(xor(cin,or(a,t5)))) )],[refute_0_24230,refute_0_24236]) ).
cnf(refute_0_24238,plain,
( and(cin,or(a,sum)) != xor(cin,xor(t3,or(a,t6)))
| xor(cin,xor(t3,or(a,t6))) != not(xor(cin,or(a,t5)))
| and(cin,or(a,sum)) = not(xor(cin,or(a,t5))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(cin,or(a,sum)),not(xor(cin,or(a,t5)))) ),[0],$fot(xor(cin,xor(t3,or(a,t6))))]]) ).
cnf(refute_0_24239,plain,
( and(cin,or(a,sum)) != xor(cin,xor(t3,or(a,t6)))
| and(cin,or(a,sum)) = not(xor(cin,or(a,t5))) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t3,or(a,t6))),not(xor(cin,or(a,t5)))) )],[refute_0_24237,refute_0_24238]) ).
cnf(refute_0_24240,plain,
( and(cin,not(xor(t3,or(a,t6)))) != xor(cin,xor(t3,or(a,t6)))
| and(cin,or(a,sum)) = not(xor(cin,or(a,t5))) ),
inference(resolve,[$cnf( $equal(and(cin,or(a,sum)),xor(cin,xor(t3,or(a,t6)))) )],[refute_0_24229,refute_0_24239]) ).
cnf(refute_0_24241,plain,
and(cin,or(a,sum)) = not(xor(cin,or(a,t5))),
inference(resolve,[$cnf( $equal(and(cin,not(xor(t3,or(a,t6)))),xor(cin,xor(t3,or(a,t6)))) )],[refute_0_23823,refute_0_24240]) ).
cnf(refute_0_24242,plain,
( and(cin,or(a,sum)) != not(xor(cin,or(a,t5)))
| not(xor(cin,or(a,t5))) = and(cin,or(a,sum)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(cin,or(a,sum)))),bind(Y0,$fot(not(xor(cin,or(a,t5)))))]]) ).
cnf(refute_0_24243,plain,
not(xor(cin,or(a,t5))) = and(cin,or(a,sum)),
inference(resolve,[$cnf( $equal(and(cin,or(a,sum)),not(xor(cin,or(a,t5)))) )],[refute_0_24241,refute_0_24242]) ).
cnf(refute_0_24244,plain,
( not(xor(cin,or(a,t5))) != and(cin,or(a,sum))
| xor(cin,not(or(a,t5))) != not(xor(cin,or(a,t5)))
| xor(cin,not(or(a,t5))) = and(cin,or(a,sum)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(cin,not(or(a,t5))))),bind(Y0,$fot(not(xor(cin,or(a,t5))))),bind(Z0,$fot(and(cin,or(a,sum))))]]) ).
cnf(refute_0_24245,plain,
( not(xor(cin,or(a,t5))) != and(cin,or(a,sum))
| xor(cin,not(or(a,t5))) = and(cin,or(a,sum)) ),
inference(resolve,[$cnf( $equal(xor(cin,not(or(a,t5))),not(xor(cin,or(a,t5)))) )],[refute_0_24230,refute_0_24244]) ).
cnf(refute_0_24246,plain,
xor(cin,not(or(a,t5))) = and(cin,or(a,sum)),
inference(resolve,[$cnf( $equal(not(xor(cin,or(a,t5))),and(cin,or(a,sum))) )],[refute_0_24243,refute_0_24245]) ).
cnf(refute_0_24247,plain,
( xor(cin,not(or(a,t5))) != and(cin,or(a,sum))
| xor(cin,xor(t3,or(a,t6))) != xor(cin,not(or(a,t5)))
| xor(cin,xor(t3,or(a,t6))) = and(cin,or(a,sum)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(cin,xor(t3,or(a,t6))))),bind(Y0,$fot(xor(cin,not(or(a,t5))))),bind(Z0,$fot(and(cin,or(a,sum))))]]) ).
cnf(refute_0_24248,plain,
( xor(cin,not(or(a,t5))) != and(cin,or(a,sum))
| xor(cin,xor(t3,or(a,t6))) = and(cin,or(a,sum)) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(t3,or(a,t6))),xor(cin,not(or(a,t5)))) )],[refute_0_24234,refute_0_24247]) ).
cnf(refute_0_24249,plain,
xor(cin,xor(t3,or(a,t6))) = and(cin,or(a,sum)),
inference(resolve,[$cnf( $equal(xor(cin,not(or(a,t5))),and(cin,or(a,sum))) )],[refute_0_24246,refute_0_24248]) ).
cnf(refute_0_24250,plain,
not(xor(cin,xor(t3,or(a,t6)))) = not(xor(cin,xor(t3,or(a,t6)))),
introduced(tautology,[refl,[$fot(not(xor(cin,xor(t3,or(a,t6)))))]]) ).
cnf(refute_0_24251,plain,
( not(xor(cin,xor(t3,or(a,t6)))) != not(xor(cin,xor(t3,or(a,t6))))
| xor(cin,xor(t3,or(a,t6))) != and(cin,or(a,sum))
| not(xor(cin,xor(t3,or(a,t6)))) = not(and(cin,or(a,sum))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(cin,xor(t3,or(a,t6)))),not(xor(cin,xor(t3,or(a,t6))))) ),[1,0],$fot(and(cin,or(a,sum)))]]) ).
cnf(refute_0_24252,plain,
( xor(cin,xor(t3,or(a,t6))) != and(cin,or(a,sum))
| not(xor(cin,xor(t3,or(a,t6)))) = not(and(cin,or(a,sum))) ),
inference(resolve,[$cnf( $equal(not(xor(cin,xor(t3,or(a,t6)))),not(xor(cin,xor(t3,or(a,t6))))) )],[refute_0_24250,refute_0_24251]) ).
cnf(refute_0_24253,plain,
not(xor(cin,xor(t3,or(a,t6)))) = not(and(cin,or(a,sum))),
inference(resolve,[$cnf( $equal(xor(cin,xor(t3,or(a,t6))),and(cin,or(a,sum))) )],[refute_0_24249,refute_0_24252]) ).
cnf(refute_0_24254,plain,
( not(and(cin,or(a,sum))) != xor(cin,or(a,t5))
| not(xor(cin,xor(t3,or(a,t6)))) != not(and(cin,or(a,sum)))
| not(xor(cin,xor(t3,or(a,t6)))) = xor(cin,or(a,t5)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(cin,xor(t3,or(a,t6)))))),bind(Y0,$fot(not(and(cin,or(a,sum))))),bind(Z0,$fot(xor(cin,or(a,t5))))]]) ).
cnf(refute_0_24255,plain,
( not(and(cin,or(a,sum))) != xor(cin,or(a,t5))
| not(xor(cin,xor(t3,or(a,t6)))) = xor(cin,or(a,t5)) ),
inference(resolve,[$cnf( $equal(not(xor(cin,xor(t3,or(a,t6)))),not(and(cin,or(a,sum)))) )],[refute_0_24253,refute_0_24254]) ).
cnf(refute_0_24256,plain,
not(xor(cin,xor(t3,or(a,t6)))) = xor(cin,or(a,t5)),
inference(resolve,[$cnf( $equal(not(and(cin,or(a,sum))),xor(cin,or(a,t5))) )],[refute_0_24220,refute_0_24255]) ).
cnf(refute_0_24257,plain,
and(t6,not(xor(cin,xor(t3,or(a,t6))))) = and(t6,not(xor(cin,xor(t3,or(a,t6))))),
introduced(tautology,[refl,[$fot(and(t6,not(xor(cin,xor(t3,or(a,t6))))))]]) ).
cnf(refute_0_24258,plain,
( and(t6,not(xor(cin,xor(t3,or(a,t6))))) != and(t6,not(xor(cin,xor(t3,or(a,t6)))))
| not(xor(cin,xor(t3,or(a,t6)))) != xor(cin,or(a,t5))
| and(t6,not(xor(cin,xor(t3,or(a,t6))))) = and(t6,xor(cin,or(a,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(xor(cin,xor(t3,or(a,t6))))),and(t6,not(xor(cin,xor(t3,or(a,t6)))))) ),[1,1],$fot(xor(cin,or(a,t5)))]]) ).
cnf(refute_0_24259,plain,
( not(xor(cin,xor(t3,or(a,t6)))) != xor(cin,or(a,t5))
| and(t6,not(xor(cin,xor(t3,or(a,t6))))) = and(t6,xor(cin,or(a,t5))) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(cin,xor(t3,or(a,t6))))),and(t6,not(xor(cin,xor(t3,or(a,t6)))))) )],[refute_0_24257,refute_0_24258]) ).
cnf(refute_0_24260,plain,
and(t6,not(xor(cin,xor(t3,or(a,t6))))) = and(t6,xor(cin,or(a,t5))),
inference(resolve,[$cnf( $equal(not(xor(cin,xor(t3,or(a,t6)))),xor(cin,or(a,t5))) )],[refute_0_24256,refute_0_24259]) ).
cnf(refute_0_24261,plain,
( and(t6,not(xor(cin,xor(t3,or(a,t6))))) != and(t6,xor(cin,or(a,t5)))
| and(t6,not(xor(cin,xor(t3,or(a,t6))))) != xor(t2,xor(t7,or(a,t6)))
| and(t6,xor(cin,or(a,t5))) = xor(t2,xor(t7,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(xor(cin,xor(t3,or(a,t6))))),xor(t2,xor(t7,or(a,t6)))) ),[0],$fot(and(t6,xor(cin,or(a,t5))))]]) ).
cnf(refute_0_24262,plain,
( and(t6,not(xor(cin,xor(t3,or(a,t6))))) != xor(t2,xor(t7,or(a,t6)))
| and(t6,xor(cin,or(a,t5))) = xor(t2,xor(t7,or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(cin,xor(t3,or(a,t6))))),and(t6,xor(cin,or(a,t5)))) )],[refute_0_24260,refute_0_24261]) ).
cnf(refute_0_24263,plain,
and(t6,xor(cin,or(a,t5))) = xor(t2,xor(t7,or(a,t6))),
inference(resolve,[$cnf( $equal(and(t6,not(xor(cin,xor(t3,or(a,t6))))),xor(t2,xor(t7,or(a,t6)))) )],[refute_0_23914,refute_0_24262]) ).
cnf(refute_0_24264,plain,
xor(t2,xor(t7,or(a,t6))) = xor(t2,xor(t7,or(a,t6))),
introduced(tautology,[refl,[$fot(xor(t2,xor(t7,or(a,t6))))]]) ).
cnf(refute_0_24265,plain,
( xor(t2,xor(t7,or(a,t6))) != xor(t2,xor(t7,or(a,t6)))
| xor(t7,or(a,t6)) != and(sum,or(b,t6))
| xor(t2,xor(t7,or(a,t6))) = xor(t2,and(sum,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,xor(t7,or(a,t6))),xor(t2,xor(t7,or(a,t6)))) ),[1,1],$fot(and(sum,or(b,t6)))]]) ).
cnf(refute_0_24266,plain,
( xor(t7,or(a,t6)) != and(sum,or(b,t6))
| xor(t2,xor(t7,or(a,t6))) = xor(t2,and(sum,or(b,t6))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t7,or(a,t6))),xor(t2,xor(t7,or(a,t6)))) )],[refute_0_24264,refute_0_24265]) ).
cnf(refute_0_24267,plain,
xor(t2,xor(t7,or(a,t6))) = xor(t2,and(sum,or(b,t6))),
inference(resolve,[$cnf( $equal(xor(t7,or(a,t6)),and(sum,or(b,t6))) )],[refute_0_22830,refute_0_24266]) ).
cnf(refute_0_24268,plain,
( and(t6,xor(cin,or(a,t5))) != xor(t2,xor(t7,or(a,t6)))
| xor(t2,xor(t7,or(a,t6))) != xor(t2,and(sum,or(b,t6)))
| and(t6,xor(cin,or(a,t5))) = xor(t2,and(sum,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,xor(cin,or(a,t5))),xor(t2,and(sum,or(b,t6)))) ),[0],$fot(xor(t2,xor(t7,or(a,t6))))]]) ).
cnf(refute_0_24269,plain,
( and(t6,xor(cin,or(a,t5))) != xor(t2,xor(t7,or(a,t6)))
| and(t6,xor(cin,or(a,t5))) = xor(t2,and(sum,or(b,t6))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t7,or(a,t6))),xor(t2,and(sum,or(b,t6)))) )],[refute_0_24267,refute_0_24268]) ).
cnf(refute_0_24270,plain,
and(t6,xor(cin,or(a,t5))) = xor(t2,and(sum,or(b,t6))),
inference(resolve,[$cnf( $equal(and(t6,xor(cin,or(a,t5))),xor(t2,xor(t7,or(a,t6)))) )],[refute_0_24263,refute_0_24269]) ).
cnf(refute_0_24271,plain,
or(and(t7,not(xor(t2,or(a,t6)))),and(not(t7),xor(t2,or(a,t6)))) = xor(t7,xor(t2,or(a,t6))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t7)),bind(Y,$fot(xor(t2,or(a,t6))))]]) ).
cnf(refute_0_24272,plain,
ll0 = xor(or(t7,not(xor(t2,or(a,t6)))),or(not(xor(t2,or(a,t6))),t7)),
inference(subst,[],[refute_0_131:[bind(X_146,$fot(not(xor(t2,or(a,t6))))),bind(X_147,$fot(t7))]]) ).
cnf(refute_0_24273,plain,
ll1 = or(t7,not(and(t4,or(t3,and(b,not(carry)))))),
inference(subst,[],[refute_0_22653:[bind(Y,$fot(or(t3,and(b,not(carry)))))]]) ).
cnf(refute_0_24274,plain,
or(and(t4,not(xor(t3,or(carry,and(t1,t3))))),and(not(t4),xor(t3,or(carry,and(t1,t3))))) = xor(t4,xor(t3,or(carry,and(t1,t3)))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t4)),bind(Y,$fot(xor(t3,or(carry,and(t1,t3)))))]]) ).
cnf(refute_0_24275,plain,
and(not(t4),xor(t3,or(carry,and(t1,t3)))) = and(t2,and(t3,xor(t3,or(carry,and(t1,t3))))),
inference(subst,[],[refute_0_611:[bind(X_222,$fot(xor(t3,or(carry,and(t1,t3)))))]]) ).
cnf(refute_0_24276,plain,
ll0 = and(t3,and(not(t3),or(carry,and(t1,t3)))),
inference(subst,[],[refute_0_5426:[bind(X_220,$fot(t3)),bind(X_222,$fot(or(carry,and(t1,t3))))]]) ).
cnf(refute_0_24277,plain,
or(and(t3,not(or(carry,and(t1,t3)))),and(not(t3),or(carry,and(t1,t3)))) = xor(t3,or(carry,and(t1,t3))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t3)),bind(Y,$fot(or(carry,and(t1,t3))))]]) ).
cnf(refute_0_24278,plain,
and(not(carry),and(t3,xor(t1,t3))) = and(t1,and(not(carry),and(t3,xor(t1,t3)))),
inference(subst,[],[refute_0_10470:[bind(X_222,$fot(and(t3,xor(t1,t3))))]]) ).
cnf(refute_0_24279,plain,
and(and(X_220,t3),and(t1,xor(t1,t3))) = and(X_220,and(t3,and(t1,xor(t1,t3)))),
inference(subst,[],[and_associative:[bind(X,$fot(X_220)),bind(Y,$fot(t3)),bind(Z,$fot(and(t1,xor(t1,t3))))]]) ).
cnf(refute_0_24280,plain,
and(and(t3,xor(t1,t3)),t1) = and(t1,and(t3,xor(t1,t3))),
inference(subst,[],[and_commutative:[bind(X,$fot(and(t3,xor(t1,t3)))),bind(Y,$fot(t1))]]) ).
cnf(refute_0_24281,plain,
and(and(t1,t3),not(and(t1,t3))) = ll0,
inference(subst,[],[and_complement:[bind(X,$fot(and(t1,t3)))]]) ).
cnf(refute_0_24282,plain,
( and(and(t1,t3),not(and(t1,t3))) != ll0
| not(and(t1,t3)) != xor(t1,t3)
| and(and(t1,t3),xor(t1,t3)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t1,t3),not(and(t1,t3))),ll0) ),[0,1],$fot(xor(t1,t3))]]) ).
cnf(refute_0_24283,plain,
( and(and(t1,t3),not(and(t1,t3))) != ll0
| and(and(t1,t3),xor(t1,t3)) = ll0 ),
inference(resolve,[$cnf( $equal(not(and(t1,t3)),xor(t1,t3)) )],[refute_0_3007,refute_0_24282]) ).
cnf(refute_0_24284,plain,
and(and(t1,t3),xor(t1,t3)) = ll0,
inference(resolve,[$cnf( $equal(and(and(t1,t3),not(and(t1,t3))),ll0) )],[refute_0_24281,refute_0_24283]) ).
cnf(refute_0_24285,plain,
and(and(t1,t3),xor(t1,t3)) = and(t1,and(t3,xor(t1,t3))),
inference(subst,[],[and_associative:[bind(X,$fot(t1)),bind(Y,$fot(t3)),bind(Z,$fot(xor(t1,t3)))]]) ).
cnf(refute_0_24286,plain,
( and(and(t1,t3),xor(t1,t3)) != and(t1,and(t3,xor(t1,t3)))
| and(and(t1,t3),xor(t1,t3)) != ll0
| and(t1,and(t3,xor(t1,t3))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t1,t3),xor(t1,t3)),ll0) ),[0],$fot(and(t1,and(t3,xor(t1,t3))))]]) ).
cnf(refute_0_24287,plain,
( and(and(t1,t3),xor(t1,t3)) != ll0
| and(t1,and(t3,xor(t1,t3))) = ll0 ),
inference(resolve,[$cnf( $equal(and(and(t1,t3),xor(t1,t3)),and(t1,and(t3,xor(t1,t3)))) )],[refute_0_24285,refute_0_24286]) ).
cnf(refute_0_24288,plain,
and(t1,and(t3,xor(t1,t3))) = ll0,
inference(resolve,[$cnf( $equal(and(and(t1,t3),xor(t1,t3)),ll0) )],[refute_0_24284,refute_0_24287]) ).
cnf(refute_0_24289,plain,
( and(and(t3,xor(t1,t3)),t1) != and(t1,and(t3,xor(t1,t3)))
| and(t1,and(t3,xor(t1,t3))) != ll0
| and(and(t3,xor(t1,t3)),t1) = ll0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(and(t3,xor(t1,t3)),t1),ll0) ),[0],$fot(and(t1,and(t3,xor(t1,t3))))]]) ).
cnf(refute_0_24290,plain,
( and(and(t3,xor(t1,t3)),t1) != and(t1,and(t3,xor(t1,t3)))
| and(and(t3,xor(t1,t3)),t1) = ll0 ),
inference(resolve,[$cnf( $equal(and(t1,and(t3,xor(t1,t3))),ll0) )],[refute_0_24288,refute_0_24289]) ).
cnf(refute_0_24291,plain,
and(and(t3,xor(t1,t3)),t1) = ll0,
inference(resolve,[$cnf( $equal(and(and(t3,xor(t1,t3)),t1),and(t1,and(t3,xor(t1,t3)))) )],[refute_0_24280,refute_0_24290]) ).
cnf(refute_0_24292,plain,
and(xor(t1,t3),t1) = and(t1,xor(t1,t3)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t1)),bind(Y,$fot(xor(t1,t3)))]]) ).
cnf(refute_0_24293,plain,
and(t3,and(xor(t1,t3),t1)) = and(t3,and(xor(t1,t3),t1)),
introduced(tautology,[refl,[$fot(and(t3,and(xor(t1,t3),t1)))]]) ).
cnf(refute_0_24294,plain,
( and(t3,and(xor(t1,t3),t1)) != and(t3,and(xor(t1,t3),t1))
| and(xor(t1,t3),t1) != and(t1,xor(t1,t3))
| and(t3,and(xor(t1,t3),t1)) = and(t3,and(t1,xor(t1,t3))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,and(xor(t1,t3),t1)),and(t3,and(xor(t1,t3),t1))) ),[1,1],$fot(and(t1,xor(t1,t3)))]]) ).
cnf(refute_0_24295,plain,
( and(xor(t1,t3),t1) != and(t1,xor(t1,t3))
| and(t3,and(xor(t1,t3),t1)) = and(t3,and(t1,xor(t1,t3))) ),
inference(resolve,[$cnf( $equal(and(t3,and(xor(t1,t3),t1)),and(t3,and(xor(t1,t3),t1))) )],[refute_0_24293,refute_0_24294]) ).
cnf(refute_0_24296,plain,
and(t3,and(xor(t1,t3),t1)) = and(t3,and(t1,xor(t1,t3))),
inference(resolve,[$cnf( $equal(and(xor(t1,t3),t1),and(t1,xor(t1,t3))) )],[refute_0_24292,refute_0_24295]) ).
cnf(refute_0_24297,plain,
and(and(t3,xor(t1,t3)),t1) = and(t3,and(xor(t1,t3),t1)),
inference(subst,[],[and_associative:[bind(X,$fot(t3)),bind(Y,$fot(xor(t1,t3))),bind(Z,$fot(t1))]]) ).
cnf(refute_0_24298,plain,
( and(and(t3,xor(t1,t3)),t1) != and(t3,and(xor(t1,t3),t1))
| and(t3,and(xor(t1,t3),t1)) != and(t3,and(t1,xor(t1,t3)))
| and(and(t3,xor(t1,t3)),t1) = and(t3,and(t1,xor(t1,t3))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(t3,xor(t1,t3)),t1))),bind(Y0,$fot(and(t3,and(xor(t1,t3),t1)))),bind(Z0,$fot(and(t3,and(t1,xor(t1,t3)))))]]) ).
cnf(refute_0_24299,plain,
( and(t3,and(xor(t1,t3),t1)) != and(t3,and(t1,xor(t1,t3)))
| and(and(t3,xor(t1,t3)),t1) = and(t3,and(t1,xor(t1,t3))) ),
inference(resolve,[$cnf( $equal(and(and(t3,xor(t1,t3)),t1),and(t3,and(xor(t1,t3),t1))) )],[refute_0_24297,refute_0_24298]) ).
cnf(refute_0_24300,plain,
and(and(t3,xor(t1,t3)),t1) = and(t3,and(t1,xor(t1,t3))),
inference(resolve,[$cnf( $equal(and(t3,and(xor(t1,t3),t1)),and(t3,and(t1,xor(t1,t3)))) )],[refute_0_24296,refute_0_24299]) ).
cnf(refute_0_24301,plain,
( and(and(t3,xor(t1,t3)),t1) != and(t3,and(t1,xor(t1,t3)))
| and(and(t3,xor(t1,t3)),t1) != ll0
| and(t3,and(t1,xor(t1,t3))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t3,xor(t1,t3)),t1),ll0) ),[0],$fot(and(t3,and(t1,xor(t1,t3))))]]) ).
cnf(refute_0_24302,plain,
( and(and(t3,xor(t1,t3)),t1) != ll0
| and(t3,and(t1,xor(t1,t3))) = ll0 ),
inference(resolve,[$cnf( $equal(and(and(t3,xor(t1,t3)),t1),and(t3,and(t1,xor(t1,t3)))) )],[refute_0_24300,refute_0_24301]) ).
cnf(refute_0_24303,plain,
and(t3,and(t1,xor(t1,t3))) = ll0,
inference(resolve,[$cnf( $equal(and(and(t3,xor(t1,t3)),t1),ll0) )],[refute_0_24291,refute_0_24302]) ).
cnf(refute_0_24304,plain,
( and(and(X_220,t3),and(t1,xor(t1,t3))) != and(X_220,and(t3,and(t1,xor(t1,t3))))
| and(t3,and(t1,xor(t1,t3))) != ll0
| and(and(X_220,t3),and(t1,xor(t1,t3))) = and(X_220,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X_220,t3),and(t1,xor(t1,t3))),and(X_220,and(t3,and(t1,xor(t1,t3))))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_24305,plain,
( and(and(X_220,t3),and(t1,xor(t1,t3))) != and(X_220,and(t3,and(t1,xor(t1,t3))))
| and(and(X_220,t3),and(t1,xor(t1,t3))) = and(X_220,ll0) ),
inference(resolve,[$cnf( $equal(and(t3,and(t1,xor(t1,t3))),ll0) )],[refute_0_24303,refute_0_24304]) ).
cnf(refute_0_24306,plain,
and(and(X_220,t3),and(t1,xor(t1,t3))) = and(X_220,ll0),
inference(resolve,[$cnf( $equal(and(and(X_220,t3),and(t1,xor(t1,t3))),and(X_220,and(t3,and(t1,xor(t1,t3))))) )],[refute_0_24279,refute_0_24305]) ).
cnf(refute_0_24307,plain,
and(and(X_220,t3),xor(t1,t3)) = and(X_220,and(t3,xor(t1,t3))),
inference(subst,[],[and_associative:[bind(X,$fot(X_220)),bind(Y,$fot(t3)),bind(Z,$fot(xor(t1,t3)))]]) ).
cnf(refute_0_24308,plain,
and(t1,and(and(X_220,t3),xor(t1,t3))) = and(t1,and(and(X_220,t3),xor(t1,t3))),
introduced(tautology,[refl,[$fot(and(t1,and(and(X_220,t3),xor(t1,t3))))]]) ).
cnf(refute_0_24309,plain,
( and(and(X_220,t3),xor(t1,t3)) != and(X_220,and(t3,xor(t1,t3)))
| and(t1,and(and(X_220,t3),xor(t1,t3))) != and(t1,and(and(X_220,t3),xor(t1,t3)))
| and(t1,and(and(X_220,t3),xor(t1,t3))) = and(t1,and(X_220,and(t3,xor(t1,t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,and(and(X_220,t3),xor(t1,t3))),and(t1,and(and(X_220,t3),xor(t1,t3)))) ),[1,1],$fot(and(X_220,and(t3,xor(t1,t3))))]]) ).
cnf(refute_0_24310,plain,
( and(and(X_220,t3),xor(t1,t3)) != and(X_220,and(t3,xor(t1,t3)))
| and(t1,and(and(X_220,t3),xor(t1,t3))) = and(t1,and(X_220,and(t3,xor(t1,t3)))) ),
inference(resolve,[$cnf( $equal(and(t1,and(and(X_220,t3),xor(t1,t3))),and(t1,and(and(X_220,t3),xor(t1,t3)))) )],[refute_0_24308,refute_0_24309]) ).
cnf(refute_0_24311,plain,
and(t1,and(and(X_220,t3),xor(t1,t3))) = and(t1,and(X_220,and(t3,xor(t1,t3)))),
inference(resolve,[$cnf( $equal(and(and(X_220,t3),xor(t1,t3)),and(X_220,and(t3,xor(t1,t3)))) )],[refute_0_24307,refute_0_24310]) ).
cnf(refute_0_24312,plain,
and(and(X_220,t3),and(t1,xor(t1,t3))) = and(t1,and(and(X_220,t3),xor(t1,t3))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(and(X_220,t3))),bind(X_221,$fot(t1)),bind(X_222,$fot(xor(t1,t3)))]]) ).
cnf(refute_0_24313,plain,
( and(and(X_220,t3),and(t1,xor(t1,t3))) != and(t1,and(and(X_220,t3),xor(t1,t3)))
| and(t1,and(and(X_220,t3),xor(t1,t3))) != and(t1,and(X_220,and(t3,xor(t1,t3))))
| and(and(X_220,t3),and(t1,xor(t1,t3))) = and(t1,and(X_220,and(t3,xor(t1,t3)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(X_220,t3),and(t1,xor(t1,t3))))),bind(Y0,$fot(and(t1,and(and(X_220,t3),xor(t1,t3))))),bind(Z0,$fot(and(t1,and(X_220,and(t3,xor(t1,t3))))))]]) ).
cnf(refute_0_24314,plain,
( and(t1,and(and(X_220,t3),xor(t1,t3))) != and(t1,and(X_220,and(t3,xor(t1,t3))))
| and(and(X_220,t3),and(t1,xor(t1,t3))) = and(t1,and(X_220,and(t3,xor(t1,t3)))) ),
inference(resolve,[$cnf( $equal(and(and(X_220,t3),and(t1,xor(t1,t3))),and(t1,and(and(X_220,t3),xor(t1,t3)))) )],[refute_0_24312,refute_0_24313]) ).
cnf(refute_0_24315,plain,
and(and(X_220,t3),and(t1,xor(t1,t3))) = and(t1,and(X_220,and(t3,xor(t1,t3)))),
inference(resolve,[$cnf( $equal(and(t1,and(and(X_220,t3),xor(t1,t3))),and(t1,and(X_220,and(t3,xor(t1,t3))))) )],[refute_0_24311,refute_0_24314]) ).
cnf(refute_0_24316,plain,
( and(and(X_220,t3),and(t1,xor(t1,t3))) != and(X_220,ll0)
| and(and(X_220,t3),and(t1,xor(t1,t3))) != and(t1,and(X_220,and(t3,xor(t1,t3))))
| and(t1,and(X_220,and(t3,xor(t1,t3)))) = and(X_220,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X_220,t3),and(t1,xor(t1,t3))),and(X_220,ll0)) ),[0],$fot(and(t1,and(X_220,and(t3,xor(t1,t3)))))]]) ).
cnf(refute_0_24317,plain,
( and(and(X_220,t3),and(t1,xor(t1,t3))) != and(X_220,ll0)
| and(t1,and(X_220,and(t3,xor(t1,t3)))) = and(X_220,ll0) ),
inference(resolve,[$cnf( $equal(and(and(X_220,t3),and(t1,xor(t1,t3))),and(t1,and(X_220,and(t3,xor(t1,t3))))) )],[refute_0_24315,refute_0_24316]) ).
cnf(refute_0_24318,plain,
( and(X_220,ll0) != ll0
| and(t1,and(X_220,and(t3,xor(t1,t3)))) != and(X_220,ll0)
| and(t1,and(X_220,and(t3,xor(t1,t3)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(t1,and(X_220,and(t3,xor(t1,t3)))),and(X_220,ll0)) ),[1],$fot(ll0)]]) ).
cnf(refute_0_24319,plain,
( and(t1,and(X_220,and(t3,xor(t1,t3)))) != and(X_220,ll0)
| and(t1,and(X_220,and(t3,xor(t1,t3)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(X_220,ll0),ll0) )],[refute_0_3381,refute_0_24318]) ).
cnf(refute_0_24320,plain,
( and(and(X_220,t3),and(t1,xor(t1,t3))) != and(X_220,ll0)
| and(t1,and(X_220,and(t3,xor(t1,t3)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(t1,and(X_220,and(t3,xor(t1,t3)))),and(X_220,ll0)) )],[refute_0_24317,refute_0_24319]) ).
cnf(refute_0_24321,plain,
and(t1,and(X_220,and(t3,xor(t1,t3)))) = ll0,
inference(resolve,[$cnf( $equal(and(and(X_220,t3),and(t1,xor(t1,t3))),and(X_220,ll0)) )],[refute_0_24306,refute_0_24320]) ).
cnf(refute_0_24322,plain,
and(t1,and(not(carry),and(t3,xor(t1,t3)))) = ll0,
inference(subst,[],[refute_0_24321:[bind(X_220,$fot(not(carry)))]]) ).
cnf(refute_0_24323,plain,
( and(not(carry),and(t3,xor(t1,t3))) != and(t1,and(not(carry),and(t3,xor(t1,t3))))
| and(t1,and(not(carry),and(t3,xor(t1,t3)))) != ll0
| and(not(carry),and(t3,xor(t1,t3))) = ll0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(carry),and(t3,xor(t1,t3))),ll0) ),[0],$fot(and(t1,and(not(carry),and(t3,xor(t1,t3)))))]]) ).
cnf(refute_0_24324,plain,
( and(not(carry),and(t3,xor(t1,t3))) != and(t1,and(not(carry),and(t3,xor(t1,t3))))
| and(not(carry),and(t3,xor(t1,t3))) = ll0 ),
inference(resolve,[$cnf( $equal(and(t1,and(not(carry),and(t3,xor(t1,t3)))),ll0) )],[refute_0_24322,refute_0_24323]) ).
cnf(refute_0_24325,plain,
and(not(carry),and(t3,xor(t1,t3))) = ll0,
inference(resolve,[$cnf( $equal(and(not(carry),and(t3,xor(t1,t3))),and(t1,and(not(carry),and(t3,xor(t1,t3))))) )],[refute_0_24278,refute_0_24324]) ).
cnf(refute_0_24326,plain,
not(or(X,and(t1,t3))) = and(not(X),not(and(t1,t3))),
inference(subst,[],[or_demorgan:[bind(Y,$fot(and(t1,t3)))]]) ).
cnf(refute_0_24327,plain,
( not(and(t1,t3)) != xor(t1,t3)
| not(or(X,and(t1,t3))) != and(not(X),not(and(t1,t3)))
| not(or(X,and(t1,t3))) = and(not(X),xor(t1,t3)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,and(t1,t3))),and(not(X),not(and(t1,t3)))) ),[1,1],$fot(xor(t1,t3))]]) ).
cnf(refute_0_24328,plain,
( not(or(X,and(t1,t3))) != and(not(X),not(and(t1,t3)))
| not(or(X,and(t1,t3))) = and(not(X),xor(t1,t3)) ),
inference(resolve,[$cnf( $equal(not(and(t1,t3)),xor(t1,t3)) )],[refute_0_3007,refute_0_24327]) ).
cnf(refute_0_24329,plain,
not(or(X,and(t1,t3))) = and(not(X),xor(t1,t3)),
inference(resolve,[$cnf( $equal(not(or(X,and(t1,t3))),and(not(X),not(and(t1,t3)))) )],[refute_0_24326,refute_0_24328]) ).
cnf(refute_0_24330,plain,
( not(or(X,and(t1,t3))) != and(not(X),xor(t1,t3))
| and(not(X),xor(t1,t3)) = not(or(X,and(t1,t3))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X,and(t1,t3))))),bind(Y0,$fot(and(not(X),xor(t1,t3))))]]) ).
cnf(refute_0_24331,plain,
and(not(X),xor(t1,t3)) = not(or(X,and(t1,t3))),
inference(resolve,[$cnf( $equal(not(or(X,and(t1,t3))),and(not(X),xor(t1,t3))) )],[refute_0_24329,refute_0_24330]) ).
cnf(refute_0_24332,plain,
and(not(carry),xor(t1,t3)) = not(or(carry,and(t1,t3))),
inference(subst,[],[refute_0_24331:[bind(X,$fot(carry))]]) ).
cnf(refute_0_24333,plain,
and(t3,and(not(carry),xor(t1,t3))) = and(t3,and(not(carry),xor(t1,t3))),
introduced(tautology,[refl,[$fot(and(t3,and(not(carry),xor(t1,t3))))]]) ).
cnf(refute_0_24334,plain,
( and(not(carry),xor(t1,t3)) != not(or(carry,and(t1,t3)))
| and(t3,and(not(carry),xor(t1,t3))) != and(t3,and(not(carry),xor(t1,t3)))
| and(t3,and(not(carry),xor(t1,t3))) = and(t3,not(or(carry,and(t1,t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,and(not(carry),xor(t1,t3))),and(t3,and(not(carry),xor(t1,t3)))) ),[1,1],$fot(not(or(carry,and(t1,t3))))]]) ).
cnf(refute_0_24335,plain,
( and(not(carry),xor(t1,t3)) != not(or(carry,and(t1,t3)))
| and(t3,and(not(carry),xor(t1,t3))) = and(t3,not(or(carry,and(t1,t3)))) ),
inference(resolve,[$cnf( $equal(and(t3,and(not(carry),xor(t1,t3))),and(t3,and(not(carry),xor(t1,t3)))) )],[refute_0_24333,refute_0_24334]) ).
cnf(refute_0_24336,plain,
and(t3,and(not(carry),xor(t1,t3))) = and(t3,not(or(carry,and(t1,t3)))),
inference(resolve,[$cnf( $equal(and(not(carry),xor(t1,t3)),not(or(carry,and(t1,t3)))) )],[refute_0_24332,refute_0_24335]) ).
cnf(refute_0_24337,plain,
and(not(carry),and(t3,xor(t1,t3))) = and(t3,and(not(carry),xor(t1,t3))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(carry))),bind(X_221,$fot(t3)),bind(X_222,$fot(xor(t1,t3)))]]) ).
cnf(refute_0_24338,plain,
( and(not(carry),and(t3,xor(t1,t3))) != and(t3,and(not(carry),xor(t1,t3)))
| and(t3,and(not(carry),xor(t1,t3))) != and(t3,not(or(carry,and(t1,t3))))
| and(not(carry),and(t3,xor(t1,t3))) = and(t3,not(or(carry,and(t1,t3)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(carry),and(t3,xor(t1,t3))))),bind(Y0,$fot(and(t3,and(not(carry),xor(t1,t3))))),bind(Z0,$fot(and(t3,not(or(carry,and(t1,t3))))))]]) ).
cnf(refute_0_24339,plain,
( and(t3,and(not(carry),xor(t1,t3))) != and(t3,not(or(carry,and(t1,t3))))
| and(not(carry),and(t3,xor(t1,t3))) = and(t3,not(or(carry,and(t1,t3)))) ),
inference(resolve,[$cnf( $equal(and(not(carry),and(t3,xor(t1,t3))),and(t3,and(not(carry),xor(t1,t3)))) )],[refute_0_24337,refute_0_24338]) ).
cnf(refute_0_24340,plain,
and(not(carry),and(t3,xor(t1,t3))) = and(t3,not(or(carry,and(t1,t3)))),
inference(resolve,[$cnf( $equal(and(t3,and(not(carry),xor(t1,t3))),and(t3,not(or(carry,and(t1,t3))))) )],[refute_0_24336,refute_0_24339]) ).
cnf(refute_0_24341,plain,
( and(not(carry),and(t3,xor(t1,t3))) != and(t3,not(or(carry,and(t1,t3))))
| and(not(carry),and(t3,xor(t1,t3))) != ll0
| and(t3,not(or(carry,and(t1,t3)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(not(carry),and(t3,xor(t1,t3))),ll0) ),[0],$fot(and(t3,not(or(carry,and(t1,t3)))))]]) ).
cnf(refute_0_24342,plain,
( and(not(carry),and(t3,xor(t1,t3))) != ll0
| and(t3,not(or(carry,and(t1,t3)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(not(carry),and(t3,xor(t1,t3))),and(t3,not(or(carry,and(t1,t3))))) )],[refute_0_24340,refute_0_24341]) ).
cnf(refute_0_24343,plain,
and(t3,not(or(carry,and(t1,t3)))) = ll0,
inference(resolve,[$cnf( $equal(and(not(carry),and(t3,xor(t1,t3))),ll0) )],[refute_0_24325,refute_0_24342]) ).
cnf(refute_0_24344,plain,
( and(t3,not(or(carry,and(t1,t3)))) != ll0
| or(and(t3,not(or(carry,and(t1,t3)))),and(not(t3),or(carry,and(t1,t3)))) != xor(t3,or(carry,and(t1,t3)))
| or(ll0,and(not(t3),or(carry,and(t1,t3)))) = xor(t3,or(carry,and(t1,t3))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t3,not(or(carry,and(t1,t3)))),and(not(t3),or(carry,and(t1,t3)))),xor(t3,or(carry,and(t1,t3)))) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_24345,plain,
( or(and(t3,not(or(carry,and(t1,t3)))),and(not(t3),or(carry,and(t1,t3)))) != xor(t3,or(carry,and(t1,t3)))
| or(ll0,and(not(t3),or(carry,and(t1,t3)))) = xor(t3,or(carry,and(t1,t3))) ),
inference(resolve,[$cnf( $equal(and(t3,not(or(carry,and(t1,t3)))),ll0) )],[refute_0_24343,refute_0_24344]) ).
cnf(refute_0_24346,plain,
or(ll0,and(not(t3),or(carry,and(t1,t3)))) = xor(t3,or(carry,and(t1,t3))),
inference(resolve,[$cnf( $equal(or(and(t3,not(or(carry,and(t1,t3)))),and(not(t3),or(carry,and(t1,t3)))),xor(t3,or(carry,and(t1,t3)))) )],[refute_0_24277,refute_0_24345]) ).
cnf(refute_0_24347,plain,
or(ll0,and(not(t3),or(carry,and(t1,t3)))) = and(not(t3),or(carry,and(t1,t3))),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(not(t3),or(carry,and(t1,t3)))))]]) ).
cnf(refute_0_24348,plain,
( or(ll0,and(not(t3),or(carry,and(t1,t3)))) != and(not(t3),or(carry,and(t1,t3)))
| or(ll0,and(not(t3),or(carry,and(t1,t3)))) != xor(t3,or(carry,and(t1,t3)))
| and(not(t3),or(carry,and(t1,t3))) = xor(t3,or(carry,and(t1,t3))) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(t3),or(carry,and(t1,t3)))),xor(t3,or(carry,and(t1,t3)))) ),[0],$fot(and(not(t3),or(carry,and(t1,t3))))]]) ).
cnf(refute_0_24349,plain,
( or(ll0,and(not(t3),or(carry,and(t1,t3)))) != xor(t3,or(carry,and(t1,t3)))
| and(not(t3),or(carry,and(t1,t3))) = xor(t3,or(carry,and(t1,t3))) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t3),or(carry,and(t1,t3)))),and(not(t3),or(carry,and(t1,t3)))) )],[refute_0_24347,refute_0_24348]) ).
cnf(refute_0_24350,plain,
and(not(t3),or(carry,and(t1,t3))) = xor(t3,or(carry,and(t1,t3))),
inference(resolve,[$cnf( $equal(or(ll0,and(not(t3),or(carry,and(t1,t3)))),xor(t3,or(carry,and(t1,t3)))) )],[refute_0_24346,refute_0_24349]) ).
cnf(refute_0_24351,plain,
( and(not(t3),or(carry,and(t1,t3))) != xor(t3,or(carry,and(t1,t3)))
| ll0 != and(t3,and(not(t3),or(carry,and(t1,t3))))
| ll0 = and(t3,xor(t3,or(carry,and(t1,t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(t3,and(not(t3),or(carry,and(t1,t3))))) ),[1,1],$fot(xor(t3,or(carry,and(t1,t3))))]]) ).
cnf(refute_0_24352,plain,
( ll0 != and(t3,and(not(t3),or(carry,and(t1,t3))))
| ll0 = and(t3,xor(t3,or(carry,and(t1,t3)))) ),
inference(resolve,[$cnf( $equal(and(not(t3),or(carry,and(t1,t3))),xor(t3,or(carry,and(t1,t3)))) )],[refute_0_24350,refute_0_24351]) ).
cnf(refute_0_24353,plain,
ll0 = and(t3,xor(t3,or(carry,and(t1,t3)))),
inference(resolve,[$cnf( $equal(ll0,and(t3,and(not(t3),or(carry,and(t1,t3))))) )],[refute_0_24276,refute_0_24352]) ).
cnf(refute_0_24354,plain,
( ll0 != and(t3,xor(t3,or(carry,and(t1,t3))))
| and(t3,xor(t3,or(carry,and(t1,t3)))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(t3,xor(t3,or(carry,and(t1,t3))))))]]) ).
cnf(refute_0_24355,plain,
and(t3,xor(t3,or(carry,and(t1,t3)))) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(t3,xor(t3,or(carry,and(t1,t3))))) )],[refute_0_24353,refute_0_24354]) ).
cnf(refute_0_24356,plain,
( and(not(t4),xor(t3,or(carry,and(t1,t3)))) != and(t2,and(t3,xor(t3,or(carry,and(t1,t3)))))
| and(t3,xor(t3,or(carry,and(t1,t3)))) != ll0
| and(not(t4),xor(t3,or(carry,and(t1,t3)))) = and(t2,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),xor(t3,or(carry,and(t1,t3)))),and(t2,and(t3,xor(t3,or(carry,and(t1,t3)))))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_24357,plain,
( and(not(t4),xor(t3,or(carry,and(t1,t3)))) != and(t2,and(t3,xor(t3,or(carry,and(t1,t3)))))
| and(not(t4),xor(t3,or(carry,and(t1,t3)))) = and(t2,ll0) ),
inference(resolve,[$cnf( $equal(and(t3,xor(t3,or(carry,and(t1,t3)))),ll0) )],[refute_0_24355,refute_0_24356]) ).
cnf(refute_0_24358,plain,
and(not(t4),xor(t3,or(carry,and(t1,t3)))) = and(t2,ll0),
inference(resolve,[$cnf( $equal(and(not(t4),xor(t3,or(carry,and(t1,t3)))),and(t2,and(t3,xor(t3,or(carry,and(t1,t3)))))) )],[refute_0_24275,refute_0_24357]) ).
cnf(refute_0_24359,plain,
and(t2,ll0) = ll0,
inference(subst,[],[and_boundedness:[bind(X,$fot(t2))]]) ).
cnf(refute_0_24360,plain,
( and(not(t4),xor(t3,or(carry,and(t1,t3)))) != and(t2,ll0)
| and(t2,ll0) != ll0
| and(not(t4),xor(t3,or(carry,and(t1,t3)))) = ll0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(t4),xor(t3,or(carry,and(t1,t3)))),ll0) ),[0],$fot(and(t2,ll0))]]) ).
cnf(refute_0_24361,plain,
( and(not(t4),xor(t3,or(carry,and(t1,t3)))) != and(t2,ll0)
| and(not(t4),xor(t3,or(carry,and(t1,t3)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(t2,ll0),ll0) )],[refute_0_24359,refute_0_24360]) ).
cnf(refute_0_24362,plain,
and(not(t4),xor(t3,or(carry,and(t1,t3)))) = ll0,
inference(resolve,[$cnf( $equal(and(not(t4),xor(t3,or(carry,and(t1,t3)))),and(t2,ll0)) )],[refute_0_24358,refute_0_24361]) ).
cnf(refute_0_24363,plain,
( and(not(t4),xor(t3,or(carry,and(t1,t3)))) != ll0
| or(and(t4,not(xor(t3,or(carry,and(t1,t3))))),and(not(t4),xor(t3,or(carry,and(t1,t3))))) != xor(t4,xor(t3,or(carry,and(t1,t3))))
| or(and(t4,not(xor(t3,or(carry,and(t1,t3))))),ll0) = xor(t4,xor(t3,or(carry,and(t1,t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,not(xor(t3,or(carry,and(t1,t3))))),and(not(t4),xor(t3,or(carry,and(t1,t3))))),xor(t4,xor(t3,or(carry,and(t1,t3))))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_24364,plain,
( or(and(t4,not(xor(t3,or(carry,and(t1,t3))))),and(not(t4),xor(t3,or(carry,and(t1,t3))))) != xor(t4,xor(t3,or(carry,and(t1,t3))))
| or(and(t4,not(xor(t3,or(carry,and(t1,t3))))),ll0) = xor(t4,xor(t3,or(carry,and(t1,t3)))) ),
inference(resolve,[$cnf( $equal(and(not(t4),xor(t3,or(carry,and(t1,t3)))),ll0) )],[refute_0_24362,refute_0_24363]) ).
cnf(refute_0_24365,plain,
or(and(t4,not(xor(t3,or(carry,and(t1,t3))))),ll0) = xor(t4,xor(t3,or(carry,and(t1,t3)))),
inference(resolve,[$cnf( $equal(or(and(t4,not(xor(t3,or(carry,and(t1,t3))))),and(not(t4),xor(t3,or(carry,and(t1,t3))))),xor(t4,xor(t3,or(carry,and(t1,t3))))) )],[refute_0_24274,refute_0_24364]) ).
cnf(refute_0_24366,plain,
or(and(t4,not(xor(t3,or(carry,and(t1,t3))))),ll0) = and(t4,not(xor(t3,or(carry,and(t1,t3))))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t4,not(xor(t3,or(carry,and(t1,t3)))))))]]) ).
cnf(refute_0_24367,plain,
( or(and(t4,not(xor(t3,or(carry,and(t1,t3))))),ll0) != and(t4,not(xor(t3,or(carry,and(t1,t3)))))
| or(and(t4,not(xor(t3,or(carry,and(t1,t3))))),ll0) != xor(t4,xor(t3,or(carry,and(t1,t3))))
| and(t4,not(xor(t3,or(carry,and(t1,t3))))) = xor(t4,xor(t3,or(carry,and(t1,t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,not(xor(t3,or(carry,and(t1,t3))))),ll0),xor(t4,xor(t3,or(carry,and(t1,t3))))) ),[0],$fot(and(t4,not(xor(t3,or(carry,and(t1,t3))))))]]) ).
cnf(refute_0_24368,plain,
( or(and(t4,not(xor(t3,or(carry,and(t1,t3))))),ll0) != xor(t4,xor(t3,or(carry,and(t1,t3))))
| and(t4,not(xor(t3,or(carry,and(t1,t3))))) = xor(t4,xor(t3,or(carry,and(t1,t3)))) ),
inference(resolve,[$cnf( $equal(or(and(t4,not(xor(t3,or(carry,and(t1,t3))))),ll0),and(t4,not(xor(t3,or(carry,and(t1,t3)))))) )],[refute_0_24366,refute_0_24367]) ).
cnf(refute_0_24369,plain,
and(t4,not(xor(t3,or(carry,and(t1,t3))))) = xor(t4,xor(t3,or(carry,and(t1,t3)))),
inference(resolve,[$cnf( $equal(or(and(t4,not(xor(t3,or(carry,and(t1,t3))))),ll0),xor(t4,xor(t3,or(carry,and(t1,t3))))) )],[refute_0_24365,refute_0_24368]) ).
cnf(refute_0_24370,plain,
xor(t4,xor(t3,or(carry,and(t1,t3)))) = xor(t3,xor(t4,or(carry,and(t1,t3)))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(t3)),bind(X_334,$fot(t4)),bind(X_335,$fot(or(carry,and(t1,t3))))]]) ).
cnf(refute_0_24371,plain,
( and(t4,not(xor(t3,or(carry,and(t1,t3))))) != xor(t4,xor(t3,or(carry,and(t1,t3))))
| xor(t4,xor(t3,or(carry,and(t1,t3)))) != xor(t3,xor(t4,or(carry,and(t1,t3))))
| and(t4,not(xor(t3,or(carry,and(t1,t3))))) = xor(t3,xor(t4,or(carry,and(t1,t3)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t4,not(xor(t3,or(carry,and(t1,t3))))),xor(t3,xor(t4,or(carry,and(t1,t3))))) ),[0],$fot(xor(t4,xor(t3,or(carry,and(t1,t3)))))]]) ).
cnf(refute_0_24372,plain,
( and(t4,not(xor(t3,or(carry,and(t1,t3))))) != xor(t4,xor(t3,or(carry,and(t1,t3))))
| and(t4,not(xor(t3,or(carry,and(t1,t3))))) = xor(t3,xor(t4,or(carry,and(t1,t3)))) ),
inference(resolve,[$cnf( $equal(xor(t4,xor(t3,or(carry,and(t1,t3)))),xor(t3,xor(t4,or(carry,and(t1,t3))))) )],[refute_0_24370,refute_0_24371]) ).
cnf(refute_0_24373,plain,
and(t4,not(xor(t3,or(carry,and(t1,t3))))) = xor(t3,xor(t4,or(carry,and(t1,t3)))),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t3,or(carry,and(t1,t3))))),xor(t4,xor(t3,or(carry,and(t1,t3))))) )],[refute_0_24369,refute_0_24372]) ).
cnf(refute_0_24374,plain,
not(and(or(carry,and(t1,t3)),not(t3))) = not(and(not(t3),or(carry,and(t1,t3)))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(not(t3))),bind(X_32,$fot(or(carry,and(t1,t3))))]]) ).
cnf(refute_0_24375,plain,
( and(not(t3),or(carry,and(t1,t3))) != xor(t3,or(carry,and(t1,t3)))
| not(and(or(carry,and(t1,t3)),not(t3))) != not(and(not(t3),or(carry,and(t1,t3))))
| not(and(or(carry,and(t1,t3)),not(t3))) = not(xor(t3,or(carry,and(t1,t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(carry,and(t1,t3)),not(t3))),not(and(not(t3),or(carry,and(t1,t3))))) ),[1,0],$fot(xor(t3,or(carry,and(t1,t3))))]]) ).
cnf(refute_0_24376,plain,
( not(and(or(carry,and(t1,t3)),not(t3))) != not(and(not(t3),or(carry,and(t1,t3))))
| not(and(or(carry,and(t1,t3)),not(t3))) = not(xor(t3,or(carry,and(t1,t3)))) ),
inference(resolve,[$cnf( $equal(and(not(t3),or(carry,and(t1,t3))),xor(t3,or(carry,and(t1,t3)))) )],[refute_0_24350,refute_0_24375]) ).
cnf(refute_0_24377,plain,
not(and(or(carry,and(t1,t3)),not(t3))) = not(xor(t3,or(carry,and(t1,t3)))),
inference(resolve,[$cnf( $equal(not(and(or(carry,and(t1,t3)),not(t3))),not(and(not(t3),or(carry,and(t1,t3))))) )],[refute_0_24374,refute_0_24376]) ).
cnf(refute_0_24378,plain,
not(and(not(t3),or(carry,and(t1,t3)))) = or(t3,not(or(carry,and(t1,t3)))),
inference(subst,[],[refute_0_787:[bind(X,$fot(t3)),bind(X_32,$fot(or(carry,and(t1,t3))))]]) ).
cnf(refute_0_24379,plain,
( not(and(not(t3),or(carry,and(t1,t3)))) != or(t3,not(or(carry,and(t1,t3))))
| not(and(or(carry,and(t1,t3)),not(t3))) != not(and(not(t3),or(carry,and(t1,t3))))
| not(and(or(carry,and(t1,t3)),not(t3))) = or(t3,not(or(carry,and(t1,t3)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(or(carry,and(t1,t3)),not(t3))))),bind(Y0,$fot(not(and(not(t3),or(carry,and(t1,t3)))))),bind(Z0,$fot(or(t3,not(or(carry,and(t1,t3))))))]]) ).
cnf(refute_0_24380,plain,
( not(and(not(t3),or(carry,and(t1,t3)))) != or(t3,not(or(carry,and(t1,t3))))
| not(and(or(carry,and(t1,t3)),not(t3))) = or(t3,not(or(carry,and(t1,t3)))) ),
inference(resolve,[$cnf( $equal(not(and(or(carry,and(t1,t3)),not(t3))),not(and(not(t3),or(carry,and(t1,t3))))) )],[refute_0_24374,refute_0_24379]) ).
cnf(refute_0_24381,plain,
not(and(or(carry,and(t1,t3)),not(t3))) = or(t3,not(or(carry,and(t1,t3)))),
inference(resolve,[$cnf( $equal(not(and(not(t3),or(carry,and(t1,t3)))),or(t3,not(or(carry,and(t1,t3))))) )],[refute_0_24378,refute_0_24380]) ).
cnf(refute_0_24382,plain,
( not(and(or(carry,and(t1,t3)),not(t3))) != not(xor(t3,or(carry,and(t1,t3))))
| not(and(or(carry,and(t1,t3)),not(t3))) != or(t3,not(or(carry,and(t1,t3))))
| or(t3,not(or(carry,and(t1,t3)))) = not(xor(t3,or(carry,and(t1,t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(carry,and(t1,t3)),not(t3))),not(xor(t3,or(carry,and(t1,t3))))) ),[0],$fot(or(t3,not(or(carry,and(t1,t3)))))]]) ).
cnf(refute_0_24383,plain,
( not(and(or(carry,and(t1,t3)),not(t3))) != not(xor(t3,or(carry,and(t1,t3))))
| or(t3,not(or(carry,and(t1,t3)))) = not(xor(t3,or(carry,and(t1,t3)))) ),
inference(resolve,[$cnf( $equal(not(and(or(carry,and(t1,t3)),not(t3))),or(t3,not(or(carry,and(t1,t3))))) )],[refute_0_24381,refute_0_24382]) ).
cnf(refute_0_24384,plain,
or(t3,not(or(carry,and(t1,t3)))) = not(xor(t3,or(carry,and(t1,t3)))),
inference(resolve,[$cnf( $equal(not(and(or(carry,and(t1,t3)),not(t3))),not(xor(t3,or(carry,and(t1,t3))))) )],[refute_0_24377,refute_0_24383]) ).
cnf(refute_0_24385,plain,
and(not(carry),b) = and(b,not(carry)),
inference(subst,[],[refute_0_116:[bind(X,$fot(b)),bind(Y,$fot(not(carry)))]]) ).
cnf(refute_0_24386,plain,
not(or(carry,not(b))) = and(not(carry),b),
inference(subst,[],[refute_0_801:[bind(X,$fot(b)),bind(X_25,$fot(carry))]]) ).
cnf(refute_0_24387,plain,
( and(not(carry),b) != and(b,not(carry))
| not(or(carry,not(b))) != and(not(carry),b)
| not(or(carry,not(b))) = and(b,not(carry)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(carry,not(b))))),bind(Y0,$fot(and(not(carry),b))),bind(Z0,$fot(and(b,not(carry))))]]) ).
cnf(refute_0_24388,plain,
( and(not(carry),b) != and(b,not(carry))
| not(or(carry,not(b))) = and(b,not(carry)) ),
inference(resolve,[$cnf( $equal(not(or(carry,not(b))),and(not(carry),b)) )],[refute_0_24386,refute_0_24387]) ).
cnf(refute_0_24389,plain,
not(or(carry,not(b))) = and(b,not(carry)),
inference(resolve,[$cnf( $equal(and(not(carry),b),and(b,not(carry))) )],[refute_0_24385,refute_0_24388]) ).
cnf(refute_0_24390,plain,
or(carry,and(t1,t3)) = or(carry,and(t1,t3)),
introduced(tautology,[refl,[$fot(or(carry,and(t1,t3)))]]) ).
cnf(refute_0_24391,plain,
( and(t1,t3) != not(b)
| or(carry,and(t1,t3)) != or(carry,and(t1,t3))
| or(carry,and(t1,t3)) = or(carry,not(b)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry,and(t1,t3)),or(carry,and(t1,t3))) ),[1,1],$fot(not(b))]]) ).
cnf(refute_0_24392,plain,
( and(t1,t3) != not(b)
| or(carry,and(t1,t3)) = or(carry,not(b)) ),
inference(resolve,[$cnf( $equal(or(carry,and(t1,t3)),or(carry,and(t1,t3))) )],[refute_0_24390,refute_0_24391]) ).
cnf(refute_0_24393,plain,
or(carry,and(t1,t3)) = or(carry,not(b)),
inference(resolve,[$cnf( $equal(and(t1,t3),not(b)) )],[refute_0_3032,refute_0_24392]) ).
cnf(refute_0_24394,plain,
not(or(carry,and(t1,t3))) = not(or(carry,and(t1,t3))),
introduced(tautology,[refl,[$fot(not(or(carry,and(t1,t3))))]]) ).
cnf(refute_0_24395,plain,
( not(or(carry,and(t1,t3))) != not(or(carry,and(t1,t3)))
| or(carry,and(t1,t3)) != or(carry,not(b))
| not(or(carry,and(t1,t3))) = not(or(carry,not(b))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(carry,and(t1,t3))),not(or(carry,and(t1,t3)))) ),[1,0],$fot(or(carry,not(b)))]]) ).
cnf(refute_0_24396,plain,
( or(carry,and(t1,t3)) != or(carry,not(b))
| not(or(carry,and(t1,t3))) = not(or(carry,not(b))) ),
inference(resolve,[$cnf( $equal(not(or(carry,and(t1,t3))),not(or(carry,and(t1,t3)))) )],[refute_0_24394,refute_0_24395]) ).
cnf(refute_0_24397,plain,
not(or(carry,and(t1,t3))) = not(or(carry,not(b))),
inference(resolve,[$cnf( $equal(or(carry,and(t1,t3)),or(carry,not(b))) )],[refute_0_24393,refute_0_24396]) ).
cnf(refute_0_24398,plain,
( not(or(carry,and(t1,t3))) != not(or(carry,not(b)))
| not(or(carry,not(b))) != and(b,not(carry))
| not(or(carry,and(t1,t3))) = and(b,not(carry)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(carry,and(t1,t3))))),bind(Y0,$fot(not(or(carry,not(b))))),bind(Z0,$fot(and(b,not(carry))))]]) ).
cnf(refute_0_24399,plain,
( not(or(carry,not(b))) != and(b,not(carry))
| not(or(carry,and(t1,t3))) = and(b,not(carry)) ),
inference(resolve,[$cnf( $equal(not(or(carry,and(t1,t3))),not(or(carry,not(b)))) )],[refute_0_24397,refute_0_24398]) ).
cnf(refute_0_24400,plain,
not(or(carry,and(t1,t3))) = and(b,not(carry)),
inference(resolve,[$cnf( $equal(not(or(carry,not(b))),and(b,not(carry))) )],[refute_0_24389,refute_0_24399]) ).
cnf(refute_0_24401,plain,
or(t3,not(or(carry,and(t1,t3)))) = or(t3,not(or(carry,and(t1,t3)))),
introduced(tautology,[refl,[$fot(or(t3,not(or(carry,and(t1,t3)))))]]) ).
cnf(refute_0_24402,plain,
( not(or(carry,and(t1,t3))) != and(b,not(carry))
| or(t3,not(or(carry,and(t1,t3)))) != or(t3,not(or(carry,and(t1,t3))))
| or(t3,not(or(carry,and(t1,t3)))) = or(t3,and(b,not(carry))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,not(or(carry,and(t1,t3)))),or(t3,not(or(carry,and(t1,t3))))) ),[1,1],$fot(and(b,not(carry)))]]) ).
cnf(refute_0_24403,plain,
( not(or(carry,and(t1,t3))) != and(b,not(carry))
| or(t3,not(or(carry,and(t1,t3)))) = or(t3,and(b,not(carry))) ),
inference(resolve,[$cnf( $equal(or(t3,not(or(carry,and(t1,t3)))),or(t3,not(or(carry,and(t1,t3))))) )],[refute_0_24401,refute_0_24402]) ).
cnf(refute_0_24404,plain,
or(t3,not(or(carry,and(t1,t3)))) = or(t3,and(b,not(carry))),
inference(resolve,[$cnf( $equal(not(or(carry,and(t1,t3))),and(b,not(carry))) )],[refute_0_24400,refute_0_24403]) ).
cnf(refute_0_24405,plain,
( or(t3,not(or(carry,and(t1,t3)))) != not(xor(t3,or(carry,and(t1,t3))))
| or(t3,not(or(carry,and(t1,t3)))) != or(t3,and(b,not(carry)))
| or(t3,and(b,not(carry))) = not(xor(t3,or(carry,and(t1,t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,not(or(carry,and(t1,t3)))),not(xor(t3,or(carry,and(t1,t3))))) ),[0],$fot(or(t3,and(b,not(carry))))]]) ).
cnf(refute_0_24406,plain,
( or(t3,not(or(carry,and(t1,t3)))) != not(xor(t3,or(carry,and(t1,t3))))
| or(t3,and(b,not(carry))) = not(xor(t3,or(carry,and(t1,t3)))) ),
inference(resolve,[$cnf( $equal(or(t3,not(or(carry,and(t1,t3)))),or(t3,and(b,not(carry)))) )],[refute_0_24404,refute_0_24405]) ).
cnf(refute_0_24407,plain,
xor(t3,or(carry,and(t1,t3))) = xor(t3,or(carry,and(t1,t3))),
introduced(tautology,[refl,[$fot(xor(t3,or(carry,and(t1,t3))))]]) ).
cnf(refute_0_24408,plain,
( or(carry,and(t1,t3)) != or(carry,not(b))
| xor(t3,or(carry,and(t1,t3))) != xor(t3,or(carry,and(t1,t3)))
| xor(t3,or(carry,and(t1,t3))) = xor(t3,or(carry,not(b))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,or(carry,and(t1,t3))),xor(t3,or(carry,and(t1,t3)))) ),[1,1],$fot(or(carry,not(b)))]]) ).
cnf(refute_0_24409,plain,
( or(carry,and(t1,t3)) != or(carry,not(b))
| xor(t3,or(carry,and(t1,t3))) = xor(t3,or(carry,not(b))) ),
inference(resolve,[$cnf( $equal(xor(t3,or(carry,and(t1,t3))),xor(t3,or(carry,and(t1,t3)))) )],[refute_0_24407,refute_0_24408]) ).
cnf(refute_0_24410,plain,
xor(t3,or(carry,and(t1,t3))) = xor(t3,or(carry,not(b))),
inference(resolve,[$cnf( $equal(or(carry,and(t1,t3)),or(carry,not(b))) )],[refute_0_24393,refute_0_24409]) ).
cnf(refute_0_24411,plain,
not(xor(t3,or(carry,and(t1,t3)))) = not(xor(t3,or(carry,and(t1,t3)))),
introduced(tautology,[refl,[$fot(not(xor(t3,or(carry,and(t1,t3)))))]]) ).
cnf(refute_0_24412,plain,
( not(xor(t3,or(carry,and(t1,t3)))) != not(xor(t3,or(carry,and(t1,t3))))
| xor(t3,or(carry,and(t1,t3))) != xor(t3,or(carry,not(b)))
| not(xor(t3,or(carry,and(t1,t3)))) = not(xor(t3,or(carry,not(b)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t3,or(carry,and(t1,t3)))),not(xor(t3,or(carry,and(t1,t3))))) ),[1,0],$fot(xor(t3,or(carry,not(b))))]]) ).
cnf(refute_0_24413,plain,
( xor(t3,or(carry,and(t1,t3))) != xor(t3,or(carry,not(b)))
| not(xor(t3,or(carry,and(t1,t3)))) = not(xor(t3,or(carry,not(b)))) ),
inference(resolve,[$cnf( $equal(not(xor(t3,or(carry,and(t1,t3)))),not(xor(t3,or(carry,and(t1,t3))))) )],[refute_0_24411,refute_0_24412]) ).
cnf(refute_0_24414,plain,
not(xor(t3,or(carry,and(t1,t3)))) = not(xor(t3,or(carry,not(b)))),
inference(resolve,[$cnf( $equal(xor(t3,or(carry,and(t1,t3))),xor(t3,or(carry,not(b)))) )],[refute_0_24410,refute_0_24413]) ).
cnf(refute_0_24415,plain,
( not(xor(t3,or(carry,and(t1,t3)))) != not(xor(t3,or(carry,not(b))))
| or(t3,and(b,not(carry))) != not(xor(t3,or(carry,and(t1,t3))))
| or(t3,and(b,not(carry))) = not(xor(t3,or(carry,not(b)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,and(b,not(carry))),not(xor(t3,or(carry,and(t1,t3))))) ),[1],$fot(not(xor(t3,or(carry,not(b)))))]]) ).
cnf(refute_0_24416,plain,
( or(t3,and(b,not(carry))) != not(xor(t3,or(carry,and(t1,t3))))
| or(t3,and(b,not(carry))) = not(xor(t3,or(carry,not(b)))) ),
inference(resolve,[$cnf( $equal(not(xor(t3,or(carry,and(t1,t3)))),not(xor(t3,or(carry,not(b))))) )],[refute_0_24414,refute_0_24415]) ).
cnf(refute_0_24417,plain,
( or(t3,not(or(carry,and(t1,t3)))) != not(xor(t3,or(carry,and(t1,t3))))
| or(t3,and(b,not(carry))) = not(xor(t3,or(carry,not(b)))) ),
inference(resolve,[$cnf( $equal(or(t3,and(b,not(carry))),not(xor(t3,or(carry,and(t1,t3))))) )],[refute_0_24406,refute_0_24416]) ).
cnf(refute_0_24418,plain,
or(t3,and(b,not(carry))) = not(xor(t3,or(carry,not(b)))),
inference(resolve,[$cnf( $equal(or(t3,not(or(carry,and(t1,t3)))),not(xor(t3,or(carry,and(t1,t3))))) )],[refute_0_24384,refute_0_24417]) ).
cnf(refute_0_24419,plain,
( or(t3,and(b,not(carry))) != not(xor(t3,or(carry,not(b))))
| not(xor(t3,or(carry,not(b)))) = or(t3,and(b,not(carry))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(t3,and(b,not(carry))))),bind(Y0,$fot(not(xor(t3,or(carry,not(b))))))]]) ).
cnf(refute_0_24420,plain,
not(xor(t3,or(carry,not(b)))) = or(t3,and(b,not(carry))),
inference(resolve,[$cnf( $equal(or(t3,and(b,not(carry))),not(xor(t3,or(carry,not(b))))) )],[refute_0_24418,refute_0_24419]) ).
cnf(refute_0_24421,plain,
( not(xor(t3,or(carry,and(t1,t3)))) != not(xor(t3,or(carry,not(b))))
| not(xor(t3,or(carry,not(b)))) != or(t3,and(b,not(carry)))
| not(xor(t3,or(carry,and(t1,t3)))) = or(t3,and(b,not(carry))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t3,or(carry,and(t1,t3)))))),bind(Y0,$fot(not(xor(t3,or(carry,not(b)))))),bind(Z0,$fot(or(t3,and(b,not(carry)))))]]) ).
cnf(refute_0_24422,plain,
( not(xor(t3,or(carry,not(b)))) != or(t3,and(b,not(carry)))
| not(xor(t3,or(carry,and(t1,t3)))) = or(t3,and(b,not(carry))) ),
inference(resolve,[$cnf( $equal(not(xor(t3,or(carry,and(t1,t3)))),not(xor(t3,or(carry,not(b))))) )],[refute_0_24414,refute_0_24421]) ).
cnf(refute_0_24423,plain,
not(xor(t3,or(carry,and(t1,t3)))) = or(t3,and(b,not(carry))),
inference(resolve,[$cnf( $equal(not(xor(t3,or(carry,not(b)))),or(t3,and(b,not(carry)))) )],[refute_0_24420,refute_0_24422]) ).
cnf(refute_0_24424,plain,
and(t4,not(xor(t3,or(carry,and(t1,t3))))) = and(t4,not(xor(t3,or(carry,and(t1,t3))))),
introduced(tautology,[refl,[$fot(and(t4,not(xor(t3,or(carry,and(t1,t3))))))]]) ).
cnf(refute_0_24425,plain,
( and(t4,not(xor(t3,or(carry,and(t1,t3))))) != and(t4,not(xor(t3,or(carry,and(t1,t3)))))
| not(xor(t3,or(carry,and(t1,t3)))) != or(t3,and(b,not(carry)))
| and(t4,not(xor(t3,or(carry,and(t1,t3))))) = and(t4,or(t3,and(b,not(carry)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,not(xor(t3,or(carry,and(t1,t3))))),and(t4,not(xor(t3,or(carry,and(t1,t3)))))) ),[1,1],$fot(or(t3,and(b,not(carry))))]]) ).
cnf(refute_0_24426,plain,
( not(xor(t3,or(carry,and(t1,t3)))) != or(t3,and(b,not(carry)))
| and(t4,not(xor(t3,or(carry,and(t1,t3))))) = and(t4,or(t3,and(b,not(carry)))) ),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t3,or(carry,and(t1,t3))))),and(t4,not(xor(t3,or(carry,and(t1,t3)))))) )],[refute_0_24424,refute_0_24425]) ).
cnf(refute_0_24427,plain,
and(t4,not(xor(t3,or(carry,and(t1,t3))))) = and(t4,or(t3,and(b,not(carry)))),
inference(resolve,[$cnf( $equal(not(xor(t3,or(carry,and(t1,t3)))),or(t3,and(b,not(carry)))) )],[refute_0_24423,refute_0_24426]) ).
cnf(refute_0_24428,plain,
( and(t4,not(xor(t3,or(carry,and(t1,t3))))) != and(t4,or(t3,and(b,not(carry))))
| and(t4,not(xor(t3,or(carry,and(t1,t3))))) != xor(t3,xor(t4,or(carry,and(t1,t3))))
| and(t4,or(t3,and(b,not(carry)))) = xor(t3,xor(t4,or(carry,and(t1,t3)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,not(xor(t3,or(carry,and(t1,t3))))),xor(t3,xor(t4,or(carry,and(t1,t3))))) ),[0],$fot(and(t4,or(t3,and(b,not(carry)))))]]) ).
cnf(refute_0_24429,plain,
( and(t4,not(xor(t3,or(carry,and(t1,t3))))) != xor(t3,xor(t4,or(carry,and(t1,t3))))
| and(t4,or(t3,and(b,not(carry)))) = xor(t3,xor(t4,or(carry,and(t1,t3)))) ),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t3,or(carry,and(t1,t3))))),and(t4,or(t3,and(b,not(carry))))) )],[refute_0_24427,refute_0_24428]) ).
cnf(refute_0_24430,plain,
xor(t4,or(carry,and(t1,t3))) = xor(t4,or(carry,and(t1,t3))),
introduced(tautology,[refl,[$fot(xor(t4,or(carry,and(t1,t3))))]]) ).
cnf(refute_0_24431,plain,
( or(carry,and(t1,t3)) != or(carry,not(b))
| xor(t4,or(carry,and(t1,t3))) != xor(t4,or(carry,and(t1,t3)))
| xor(t4,or(carry,and(t1,t3))) = xor(t4,or(carry,not(b))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t4,or(carry,and(t1,t3))),xor(t4,or(carry,and(t1,t3)))) ),[1,1],$fot(or(carry,not(b)))]]) ).
cnf(refute_0_24432,plain,
( or(carry,and(t1,t3)) != or(carry,not(b))
| xor(t4,or(carry,and(t1,t3))) = xor(t4,or(carry,not(b))) ),
inference(resolve,[$cnf( $equal(xor(t4,or(carry,and(t1,t3))),xor(t4,or(carry,and(t1,t3)))) )],[refute_0_24430,refute_0_24431]) ).
cnf(refute_0_24433,plain,
xor(t4,or(carry,and(t1,t3))) = xor(t4,or(carry,not(b))),
inference(resolve,[$cnf( $equal(or(carry,and(t1,t3)),or(carry,not(b))) )],[refute_0_24393,refute_0_24432]) ).
cnf(refute_0_24434,plain,
xor(t3,xor(t4,or(carry,and(t1,t3)))) = xor(t3,xor(t4,or(carry,and(t1,t3)))),
introduced(tautology,[refl,[$fot(xor(t3,xor(t4,or(carry,and(t1,t3)))))]]) ).
cnf(refute_0_24435,plain,
( xor(t3,xor(t4,or(carry,and(t1,t3)))) != xor(t3,xor(t4,or(carry,and(t1,t3))))
| xor(t4,or(carry,and(t1,t3))) != xor(t4,or(carry,not(b)))
| xor(t3,xor(t4,or(carry,and(t1,t3)))) = xor(t3,xor(t4,or(carry,not(b)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,xor(t4,or(carry,and(t1,t3)))),xor(t3,xor(t4,or(carry,and(t1,t3))))) ),[1,1],$fot(xor(t4,or(carry,not(b))))]]) ).
cnf(refute_0_24436,plain,
( xor(t4,or(carry,and(t1,t3))) != xor(t4,or(carry,not(b)))
| xor(t3,xor(t4,or(carry,and(t1,t3)))) = xor(t3,xor(t4,or(carry,not(b)))) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(t4,or(carry,and(t1,t3)))),xor(t3,xor(t4,or(carry,and(t1,t3))))) )],[refute_0_24434,refute_0_24435]) ).
cnf(refute_0_24437,plain,
xor(t3,xor(t4,or(carry,and(t1,t3)))) = xor(t3,xor(t4,or(carry,not(b)))),
inference(resolve,[$cnf( $equal(xor(t4,or(carry,and(t1,t3))),xor(t4,or(carry,not(b)))) )],[refute_0_24433,refute_0_24436]) ).
cnf(refute_0_24438,plain,
( and(t4,or(t3,and(b,not(carry)))) != xor(t3,xor(t4,or(carry,and(t1,t3))))
| xor(t3,xor(t4,or(carry,and(t1,t3)))) != xor(t3,xor(t4,or(carry,not(b))))
| and(t4,or(t3,and(b,not(carry)))) = xor(t3,xor(t4,or(carry,not(b)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t4,or(t3,and(b,not(carry)))),xor(t3,xor(t4,or(carry,not(b))))) ),[0],$fot(xor(t3,xor(t4,or(carry,and(t1,t3)))))]]) ).
cnf(refute_0_24439,plain,
( and(t4,or(t3,and(b,not(carry)))) != xor(t3,xor(t4,or(carry,and(t1,t3))))
| and(t4,or(t3,and(b,not(carry)))) = xor(t3,xor(t4,or(carry,not(b)))) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(t4,or(carry,and(t1,t3)))),xor(t3,xor(t4,or(carry,not(b))))) )],[refute_0_24437,refute_0_24438]) ).
cnf(refute_0_24440,plain,
( and(t4,not(xor(t3,or(carry,and(t1,t3))))) != xor(t3,xor(t4,or(carry,and(t1,t3))))
| and(t4,or(t3,and(b,not(carry)))) = xor(t3,xor(t4,or(carry,not(b)))) ),
inference(resolve,[$cnf( $equal(and(t4,or(t3,and(b,not(carry)))),xor(t3,xor(t4,or(carry,and(t1,t3))))) )],[refute_0_24429,refute_0_24439]) ).
cnf(refute_0_24441,plain,
and(t4,or(t3,and(b,not(carry)))) = xor(t3,xor(t4,or(carry,not(b)))),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t3,or(carry,and(t1,t3))))),xor(t3,xor(t4,or(carry,and(t1,t3))))) )],[refute_0_24373,refute_0_24440]) ).
cnf(refute_0_24442,plain,
xor(t3,xor(t4,or(carry,not(b)))) = xor(t2,or(carry,not(b))),
inference(subst,[],[refute_0_2264:[bind(Z,$fot(or(carry,not(b))))]]) ).
cnf(refute_0_24443,plain,
( and(t4,or(t3,and(b,not(carry)))) != xor(t3,xor(t4,or(carry,not(b))))
| xor(t3,xor(t4,or(carry,not(b)))) != xor(t2,or(carry,not(b)))
| and(t4,or(t3,and(b,not(carry)))) = xor(t2,or(carry,not(b))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t4,or(t3,and(b,not(carry)))),xor(t2,or(carry,not(b)))) ),[0],$fot(xor(t3,xor(t4,or(carry,not(b)))))]]) ).
cnf(refute_0_24444,plain,
( and(t4,or(t3,and(b,not(carry)))) != xor(t3,xor(t4,or(carry,not(b))))
| and(t4,or(t3,and(b,not(carry)))) = xor(t2,or(carry,not(b))) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(t4,or(carry,not(b)))),xor(t2,or(carry,not(b)))) )],[refute_0_24442,refute_0_24443]) ).
cnf(refute_0_24445,plain,
and(t4,or(t3,and(b,not(carry)))) = xor(t2,or(carry,not(b))),
inference(resolve,[$cnf( $equal(and(t4,or(t3,and(b,not(carry)))),xor(t3,xor(t4,or(carry,not(b))))) )],[refute_0_24441,refute_0_24444]) ).
cnf(refute_0_24446,plain,
( and(t4,or(t3,and(b,not(carry)))) != xor(t2,or(carry,not(b)))
| ll1 != or(t7,not(and(t4,or(t3,and(b,not(carry))))))
| ll1 = or(t7,not(xor(t2,or(carry,not(b))))) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t7,not(and(t4,or(t3,and(b,not(carry))))))) ),[1,1,0],$fot(xor(t2,or(carry,not(b))))]]) ).
cnf(refute_0_24447,plain,
( ll1 != or(t7,not(and(t4,or(t3,and(b,not(carry))))))
| ll1 = or(t7,not(xor(t2,or(carry,not(b))))) ),
inference(resolve,[$cnf( $equal(and(t4,or(t3,and(b,not(carry)))),xor(t2,or(carry,not(b)))) )],[refute_0_24445,refute_0_24446]) ).
cnf(refute_0_24448,plain,
ll1 = or(t7,not(xor(t2,or(carry,not(b))))),
inference(resolve,[$cnf( $equal(ll1,or(t7,not(and(t4,or(t3,and(b,not(carry))))))) )],[refute_0_24273,refute_0_24447]) ).
cnf(refute_0_24449,plain,
xor(t2,and(not(carry),b)) = xor(t2,and(not(carry),b)),
introduced(tautology,[refl,[$fot(xor(t2,and(not(carry),b)))]]) ).
cnf(refute_0_24450,plain,
( and(not(carry),b) != and(b,not(carry))
| xor(t2,and(not(carry),b)) != xor(t2,and(not(carry),b))
| xor(t2,and(not(carry),b)) = xor(t2,and(b,not(carry))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,and(not(carry),b)),xor(t2,and(not(carry),b))) ),[1,1],$fot(and(b,not(carry)))]]) ).
cnf(refute_0_24451,plain,
( and(not(carry),b) != and(b,not(carry))
| xor(t2,and(not(carry),b)) = xor(t2,and(b,not(carry))) ),
inference(resolve,[$cnf( $equal(xor(t2,and(not(carry),b)),xor(t2,and(not(carry),b))) )],[refute_0_24449,refute_0_24450]) ).
cnf(refute_0_24452,plain,
xor(t2,and(not(carry),b)) = xor(t2,and(b,not(carry))),
inference(resolve,[$cnf( $equal(and(not(carry),b),and(b,not(carry))) )],[refute_0_24385,refute_0_24451]) ).
cnf(refute_0_24453,plain,
not(xor(t2,or(carry,not(b)))) = xor(t2,and(not(carry),b)),
inference(subst,[],[refute_0_7796:[bind(X,$fot(b)),bind(X_25,$fot(carry)),bind(X_377,$fot(t2))]]) ).
cnf(refute_0_24454,plain,
( not(xor(t2,or(carry,not(b)))) != xor(t2,and(not(carry),b))
| xor(t2,and(not(carry),b)) != xor(t2,and(b,not(carry)))
| not(xor(t2,or(carry,not(b)))) = xor(t2,and(b,not(carry))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t2,or(carry,not(b)))))),bind(Y0,$fot(xor(t2,and(not(carry),b)))),bind(Z0,$fot(xor(t2,and(b,not(carry)))))]]) ).
cnf(refute_0_24455,plain,
( xor(t2,and(not(carry),b)) != xor(t2,and(b,not(carry)))
| not(xor(t2,or(carry,not(b)))) = xor(t2,and(b,not(carry))) ),
inference(resolve,[$cnf( $equal(not(xor(t2,or(carry,not(b)))),xor(t2,and(not(carry),b))) )],[refute_0_24453,refute_0_24454]) ).
cnf(refute_0_24456,plain,
not(xor(t2,or(carry,not(b)))) = xor(t2,and(b,not(carry))),
inference(resolve,[$cnf( $equal(xor(t2,and(not(carry),b)),xor(t2,and(b,not(carry)))) )],[refute_0_24452,refute_0_24455]) ).
cnf(refute_0_24457,plain,
or(t7,not(xor(t2,or(carry,not(b))))) = or(t7,not(xor(t2,or(carry,not(b))))),
introduced(tautology,[refl,[$fot(or(t7,not(xor(t2,or(carry,not(b))))))]]) ).
cnf(refute_0_24458,plain,
( not(xor(t2,or(carry,not(b)))) != xor(t2,and(b,not(carry)))
| or(t7,not(xor(t2,or(carry,not(b))))) != or(t7,not(xor(t2,or(carry,not(b)))))
| or(t7,not(xor(t2,or(carry,not(b))))) = or(t7,xor(t2,and(b,not(carry)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,not(xor(t2,or(carry,not(b))))),or(t7,not(xor(t2,or(carry,not(b)))))) ),[1,1],$fot(xor(t2,and(b,not(carry))))]]) ).
cnf(refute_0_24459,plain,
( not(xor(t2,or(carry,not(b)))) != xor(t2,and(b,not(carry)))
| or(t7,not(xor(t2,or(carry,not(b))))) = or(t7,xor(t2,and(b,not(carry)))) ),
inference(resolve,[$cnf( $equal(or(t7,not(xor(t2,or(carry,not(b))))),or(t7,not(xor(t2,or(carry,not(b)))))) )],[refute_0_24457,refute_0_24458]) ).
cnf(refute_0_24460,plain,
or(t7,not(xor(t2,or(carry,not(b))))) = or(t7,xor(t2,and(b,not(carry)))),
inference(resolve,[$cnf( $equal(not(xor(t2,or(carry,not(b)))),xor(t2,and(b,not(carry)))) )],[refute_0_24456,refute_0_24459]) ).
cnf(refute_0_24461,plain,
( ll1 != or(t7,not(xor(t2,or(carry,not(b)))))
| or(t7,not(xor(t2,or(carry,not(b))))) != or(t7,xor(t2,and(b,not(carry))))
| ll1 = or(t7,xor(t2,and(b,not(carry)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll1,or(t7,xor(t2,and(b,not(carry))))) ),[0],$fot(or(t7,not(xor(t2,or(carry,not(b))))))]]) ).
cnf(refute_0_24462,plain,
( ll1 != or(t7,not(xor(t2,or(carry,not(b)))))
| ll1 = or(t7,xor(t2,and(b,not(carry)))) ),
inference(resolve,[$cnf( $equal(or(t7,not(xor(t2,or(carry,not(b))))),or(t7,xor(t2,and(b,not(carry))))) )],[refute_0_24460,refute_0_24461]) ).
cnf(refute_0_24463,plain,
ll1 = or(t7,xor(t2,and(b,not(carry)))),
inference(resolve,[$cnf( $equal(ll1,or(t7,not(xor(t2,or(carry,not(b)))))) )],[refute_0_24448,refute_0_24462]) ).
cnf(refute_0_24464,plain,
xor(t2,not(or(a,t6))) = not(xor(t2,or(a,t6))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t2)),bind(X_334,$fot(or(a,t6)))]]) ).
cnf(refute_0_24465,plain,
and(not(t3),not(carry)) = and(b,and(t1,not(carry))),
inference(subst,[],[refute_0_18181:[bind(X_222,$fot(not(carry)))]]) ).
cnf(refute_0_24466,plain,
( and(not(t3),not(carry)) != and(b,and(t1,not(carry)))
| and(t1,not(carry)) != not(carry)
| and(not(t3),not(carry)) = and(b,not(carry)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t3),not(carry)),and(b,and(t1,not(carry)))) ),[1,1],$fot(not(carry))]]) ).
cnf(refute_0_24467,plain,
( and(not(t3),not(carry)) != and(b,and(t1,not(carry)))
| and(not(t3),not(carry)) = and(b,not(carry)) ),
inference(resolve,[$cnf( $equal(and(t1,not(carry)),not(carry)) )],[refute_0_4998,refute_0_24466]) ).
cnf(refute_0_24468,plain,
and(not(t3),not(carry)) = and(b,not(carry)),
inference(resolve,[$cnf( $equal(and(not(t3),not(carry)),and(b,and(t1,not(carry)))) )],[refute_0_24465,refute_0_24467]) ).
cnf(refute_0_24469,plain,
( not(or(X,t3)) != not(or(t3,X))
| not(or(t3,X)) = not(or(X,t3)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X,t3)))),bind(Y0,$fot(not(or(t3,X))))]]) ).
cnf(refute_0_24470,plain,
not(or(t3,X)) = not(or(X,t3)),
inference(resolve,[$cnf( $equal(not(or(X,t3)),not(or(t3,X))) )],[refute_0_13956,refute_0_24469]) ).
cnf(refute_0_24471,plain,
not(or(t3,carry)) = not(or(carry,t3)),
inference(subst,[],[refute_0_24470:[bind(X,$fot(carry))]]) ).
cnf(refute_0_24472,plain,
and(not(t3),not(carry)) = not(or(t3,carry)),
inference(subst,[],[refute_0_101:[bind(X,$fot(t3)),bind(Y,$fot(carry))]]) ).
cnf(refute_0_24473,plain,
( and(not(t3),not(carry)) != not(or(t3,carry))
| not(or(t3,carry)) != not(or(carry,t3))
| and(not(t3),not(carry)) = not(or(carry,t3)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t3),not(carry)))),bind(Y0,$fot(not(or(t3,carry)))),bind(Z0,$fot(not(or(carry,t3))))]]) ).
cnf(refute_0_24474,plain,
( not(or(t3,carry)) != not(or(carry,t3))
| and(not(t3),not(carry)) = not(or(carry,t3)) ),
inference(resolve,[$cnf( $equal(and(not(t3),not(carry)),not(or(t3,carry))) )],[refute_0_24472,refute_0_24473]) ).
cnf(refute_0_24475,plain,
and(not(t3),not(carry)) = not(or(carry,t3)),
inference(resolve,[$cnf( $equal(not(or(t3,carry)),not(or(carry,t3))) )],[refute_0_24471,refute_0_24474]) ).
cnf(refute_0_24476,plain,
( and(not(t3),not(carry)) != not(or(carry,t3))
| not(or(carry,t3)) != not(or(a,t6))
| and(not(t3),not(carry)) = not(or(a,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t3),not(carry)))),bind(Y0,$fot(not(or(carry,t3)))),bind(Z0,$fot(not(or(a,t6))))]]) ).
cnf(refute_0_24477,plain,
( not(or(carry,t3)) != not(or(a,t6))
| and(not(t3),not(carry)) = not(or(a,t6)) ),
inference(resolve,[$cnf( $equal(and(not(t3),not(carry)),not(or(carry,t3))) )],[refute_0_24475,refute_0_24476]) ).
cnf(refute_0_24478,plain,
and(not(t3),not(carry)) = not(or(a,t6)),
inference(resolve,[$cnf( $equal(not(or(carry,t3)),not(or(a,t6))) )],[refute_0_14025,refute_0_24477]) ).
cnf(refute_0_24479,plain,
( and(not(t3),not(carry)) != and(b,not(carry))
| and(not(t3),not(carry)) != not(or(a,t6))
| not(or(a,t6)) = and(b,not(carry)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t3),not(carry)),and(b,not(carry))) ),[0],$fot(not(or(a,t6)))]]) ).
cnf(refute_0_24480,plain,
( and(not(t3),not(carry)) != and(b,not(carry))
| not(or(a,t6)) = and(b,not(carry)) ),
inference(resolve,[$cnf( $equal(and(not(t3),not(carry)),not(or(a,t6))) )],[refute_0_24478,refute_0_24479]) ).
cnf(refute_0_24481,plain,
not(or(a,t6)) = and(b,not(carry)),
inference(resolve,[$cnf( $equal(and(not(t3),not(carry)),and(b,not(carry))) )],[refute_0_24468,refute_0_24480]) ).
cnf(refute_0_24482,plain,
( not(or(a,t6)) != and(b,not(carry))
| and(b,not(carry)) = not(or(a,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(a,t6)))),bind(Y0,$fot(and(b,not(carry))))]]) ).
cnf(refute_0_24483,plain,
and(b,not(carry)) = not(or(a,t6)),
inference(resolve,[$cnf( $equal(not(or(a,t6)),and(b,not(carry))) )],[refute_0_24481,refute_0_24482]) ).
cnf(refute_0_24484,plain,
xor(t2,and(b,not(carry))) = xor(t2,and(b,not(carry))),
introduced(tautology,[refl,[$fot(xor(t2,and(b,not(carry))))]]) ).
cnf(refute_0_24485,plain,
( and(b,not(carry)) != not(or(a,t6))
| xor(t2,and(b,not(carry))) != xor(t2,and(b,not(carry)))
| xor(t2,and(b,not(carry))) = xor(t2,not(or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,and(b,not(carry))),xor(t2,and(b,not(carry)))) ),[1,1],$fot(not(or(a,t6)))]]) ).
cnf(refute_0_24486,plain,
( and(b,not(carry)) != not(or(a,t6))
| xor(t2,and(b,not(carry))) = xor(t2,not(or(a,t6))) ),
inference(resolve,[$cnf( $equal(xor(t2,and(b,not(carry))),xor(t2,and(b,not(carry)))) )],[refute_0_24484,refute_0_24485]) ).
cnf(refute_0_24487,plain,
xor(t2,and(b,not(carry))) = xor(t2,not(or(a,t6))),
inference(resolve,[$cnf( $equal(and(b,not(carry)),not(or(a,t6))) )],[refute_0_24483,refute_0_24486]) ).
cnf(refute_0_24488,plain,
( xor(t2,and(b,not(carry))) != xor(t2,not(or(a,t6)))
| xor(t2,not(or(a,t6))) != not(xor(t2,or(a,t6)))
| xor(t2,and(b,not(carry))) = not(xor(t2,or(a,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,and(b,not(carry))))),bind(Y0,$fot(xor(t2,not(or(a,t6))))),bind(Z0,$fot(not(xor(t2,or(a,t6)))))]]) ).
cnf(refute_0_24489,plain,
( xor(t2,not(or(a,t6))) != not(xor(t2,or(a,t6)))
| xor(t2,and(b,not(carry))) = not(xor(t2,or(a,t6))) ),
inference(resolve,[$cnf( $equal(xor(t2,and(b,not(carry))),xor(t2,not(or(a,t6)))) )],[refute_0_24487,refute_0_24488]) ).
cnf(refute_0_24490,plain,
xor(t2,and(b,not(carry))) = not(xor(t2,or(a,t6))),
inference(resolve,[$cnf( $equal(xor(t2,not(or(a,t6))),not(xor(t2,or(a,t6)))) )],[refute_0_24464,refute_0_24489]) ).
cnf(refute_0_24491,plain,
or(t7,xor(t2,and(b,not(carry)))) = or(t7,xor(t2,and(b,not(carry)))),
introduced(tautology,[refl,[$fot(or(t7,xor(t2,and(b,not(carry)))))]]) ).
cnf(refute_0_24492,plain,
( or(t7,xor(t2,and(b,not(carry)))) != or(t7,xor(t2,and(b,not(carry))))
| xor(t2,and(b,not(carry))) != not(xor(t2,or(a,t6)))
| or(t7,xor(t2,and(b,not(carry)))) = or(t7,not(xor(t2,or(a,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t7,xor(t2,and(b,not(carry)))),or(t7,xor(t2,and(b,not(carry))))) ),[1,1],$fot(not(xor(t2,or(a,t6))))]]) ).
cnf(refute_0_24493,plain,
( xor(t2,and(b,not(carry))) != not(xor(t2,or(a,t6)))
| or(t7,xor(t2,and(b,not(carry)))) = or(t7,not(xor(t2,or(a,t6)))) ),
inference(resolve,[$cnf( $equal(or(t7,xor(t2,and(b,not(carry)))),or(t7,xor(t2,and(b,not(carry))))) )],[refute_0_24491,refute_0_24492]) ).
cnf(refute_0_24494,plain,
or(t7,xor(t2,and(b,not(carry)))) = or(t7,not(xor(t2,or(a,t6)))),
inference(resolve,[$cnf( $equal(xor(t2,and(b,not(carry))),not(xor(t2,or(a,t6)))) )],[refute_0_24490,refute_0_24493]) ).
cnf(refute_0_24495,plain,
( ll1 != or(t7,xor(t2,and(b,not(carry))))
| or(t7,xor(t2,and(b,not(carry)))) != or(t7,not(xor(t2,or(a,t6))))
| ll1 = or(t7,not(xor(t2,or(a,t6)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll1,or(t7,not(xor(t2,or(a,t6))))) ),[0],$fot(or(t7,xor(t2,and(b,not(carry)))))]]) ).
cnf(refute_0_24496,plain,
( ll1 != or(t7,xor(t2,and(b,not(carry))))
| ll1 = or(t7,not(xor(t2,or(a,t6)))) ),
inference(resolve,[$cnf( $equal(or(t7,xor(t2,and(b,not(carry)))),or(t7,not(xor(t2,or(a,t6))))) )],[refute_0_24494,refute_0_24495]) ).
cnf(refute_0_24497,plain,
ll1 = or(t7,not(xor(t2,or(a,t6)))),
inference(resolve,[$cnf( $equal(ll1,or(t7,xor(t2,and(b,not(carry))))) )],[refute_0_24463,refute_0_24496]) ).
cnf(refute_0_24498,plain,
( ll1 != or(t7,not(xor(t2,or(a,t6))))
| or(t7,not(xor(t2,or(a,t6)))) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(t7,not(xor(t2,or(a,t6))))))]]) ).
cnf(refute_0_24499,plain,
or(t7,not(xor(t2,or(a,t6)))) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(t7,not(xor(t2,or(a,t6))))) )],[refute_0_24497,refute_0_24498]) ).
cnf(refute_0_24500,plain,
( ll0 != xor(or(t7,not(xor(t2,or(a,t6)))),or(not(xor(t2,or(a,t6))),t7))
| or(t7,not(xor(t2,or(a,t6)))) != ll1
| ll0 = xor(ll1,or(not(xor(t2,or(a,t6))),t7)) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,xor(or(t7,not(xor(t2,or(a,t6)))),or(not(xor(t2,or(a,t6))),t7))) ),[1,0],$fot(ll1)]]) ).
cnf(refute_0_24501,plain,
( ll0 != xor(or(t7,not(xor(t2,or(a,t6)))),or(not(xor(t2,or(a,t6))),t7))
| ll0 = xor(ll1,or(not(xor(t2,or(a,t6))),t7)) ),
inference(resolve,[$cnf( $equal(or(t7,not(xor(t2,or(a,t6)))),ll1) )],[refute_0_24499,refute_0_24500]) ).
cnf(refute_0_24502,plain,
ll0 = xor(ll1,or(not(xor(t2,or(a,t6))),t7)),
inference(resolve,[$cnf( $equal(ll0,xor(or(t7,not(xor(t2,or(a,t6)))),or(not(xor(t2,or(a,t6))),t7))) )],[refute_0_24272,refute_0_24501]) ).
cnf(refute_0_24503,plain,
not(or(t7,not(xor(t2,or(a,t6))))) = and(not(t7),xor(t2,or(a,t6))),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(t2,or(a,t6)))),bind(X_25,$fot(t7))]]) ).
cnf(refute_0_24504,plain,
not(or(not(xor(t2,or(a,t6))),t7)) = not(or(t7,not(xor(t2,or(a,t6))))),
inference(subst,[],[refute_0_23375:[bind(X,$fot(not(xor(t2,or(a,t6)))))]]) ).
cnf(refute_0_24505,plain,
( not(or(not(xor(t2,or(a,t6))),t7)) != not(or(t7,not(xor(t2,or(a,t6)))))
| not(or(t7,not(xor(t2,or(a,t6))))) != and(not(t7),xor(t2,or(a,t6)))
| not(or(not(xor(t2,or(a,t6))),t7)) = and(not(t7),xor(t2,or(a,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(not(xor(t2,or(a,t6))),t7)))),bind(Y0,$fot(not(or(t7,not(xor(t2,or(a,t6))))))),bind(Z0,$fot(and(not(t7),xor(t2,or(a,t6)))))]]) ).
cnf(refute_0_24506,plain,
( not(or(t7,not(xor(t2,or(a,t6))))) != and(not(t7),xor(t2,or(a,t6)))
| not(or(not(xor(t2,or(a,t6))),t7)) = and(not(t7),xor(t2,or(a,t6))) ),
inference(resolve,[$cnf( $equal(not(or(not(xor(t2,or(a,t6))),t7)),not(or(t7,not(xor(t2,or(a,t6)))))) )],[refute_0_24504,refute_0_24505]) ).
cnf(refute_0_24507,plain,
not(or(not(xor(t2,or(a,t6))),t7)) = and(not(t7),xor(t2,or(a,t6))),
inference(resolve,[$cnf( $equal(not(or(t7,not(xor(t2,or(a,t6))))),and(not(t7),xor(t2,or(a,t6)))) )],[refute_0_24503,refute_0_24506]) ).
cnf(refute_0_24508,plain,
xor(ll1,or(not(xor(t2,or(a,t6))),t7)) = not(or(not(xor(t2,or(a,t6))),t7)),
inference(subst,[],[refute_0_3546:[bind(X_64,$fot(or(not(xor(t2,or(a,t6))),t7)))]]) ).
cnf(refute_0_24509,plain,
( not(or(not(xor(t2,or(a,t6))),t7)) != and(not(t7),xor(t2,or(a,t6)))
| xor(ll1,or(not(xor(t2,or(a,t6))),t7)) != not(or(not(xor(t2,or(a,t6))),t7))
| xor(ll1,or(not(xor(t2,or(a,t6))),t7)) = and(not(t7),xor(t2,or(a,t6))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(ll1,or(not(xor(t2,or(a,t6))),t7)))),bind(Y0,$fot(not(or(not(xor(t2,or(a,t6))),t7)))),bind(Z0,$fot(and(not(t7),xor(t2,or(a,t6)))))]]) ).
cnf(refute_0_24510,plain,
( not(or(not(xor(t2,or(a,t6))),t7)) != and(not(t7),xor(t2,or(a,t6)))
| xor(ll1,or(not(xor(t2,or(a,t6))),t7)) = and(not(t7),xor(t2,or(a,t6))) ),
inference(resolve,[$cnf( $equal(xor(ll1,or(not(xor(t2,or(a,t6))),t7)),not(or(not(xor(t2,or(a,t6))),t7))) )],[refute_0_24508,refute_0_24509]) ).
cnf(refute_0_24511,plain,
xor(ll1,or(not(xor(t2,or(a,t6))),t7)) = and(not(t7),xor(t2,or(a,t6))),
inference(resolve,[$cnf( $equal(not(or(not(xor(t2,or(a,t6))),t7)),and(not(t7),xor(t2,or(a,t6)))) )],[refute_0_24507,refute_0_24510]) ).
cnf(refute_0_24512,plain,
( ll0 != xor(ll1,or(not(xor(t2,or(a,t6))),t7))
| xor(ll1,or(not(xor(t2,or(a,t6))),t7)) != and(not(t7),xor(t2,or(a,t6)))
| ll0 = and(not(t7),xor(t2,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll0,and(not(t7),xor(t2,or(a,t6)))) ),[0],$fot(xor(ll1,or(not(xor(t2,or(a,t6))),t7)))]]) ).
cnf(refute_0_24513,plain,
( ll0 != xor(ll1,or(not(xor(t2,or(a,t6))),t7))
| ll0 = and(not(t7),xor(t2,or(a,t6))) ),
inference(resolve,[$cnf( $equal(xor(ll1,or(not(xor(t2,or(a,t6))),t7)),and(not(t7),xor(t2,or(a,t6)))) )],[refute_0_24511,refute_0_24512]) ).
cnf(refute_0_24514,plain,
ll0 = and(not(t7),xor(t2,or(a,t6))),
inference(resolve,[$cnf( $equal(ll0,xor(ll1,or(not(xor(t2,or(a,t6))),t7))) )],[refute_0_24502,refute_0_24513]) ).
cnf(refute_0_24515,plain,
( ll0 != and(not(t7),xor(t2,or(a,t6)))
| and(not(t7),xor(t2,or(a,t6))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(not(t7),xor(t2,or(a,t6)))))]]) ).
cnf(refute_0_24516,plain,
and(not(t7),xor(t2,or(a,t6))) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(not(t7),xor(t2,or(a,t6)))) )],[refute_0_24514,refute_0_24515]) ).
cnf(refute_0_24517,plain,
( and(not(t7),xor(t2,or(a,t6))) != ll0
| or(and(t7,not(xor(t2,or(a,t6)))),and(not(t7),xor(t2,or(a,t6)))) != xor(t7,xor(t2,or(a,t6)))
| or(and(t7,not(xor(t2,or(a,t6)))),ll0) = xor(t7,xor(t2,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t7,not(xor(t2,or(a,t6)))),and(not(t7),xor(t2,or(a,t6)))),xor(t7,xor(t2,or(a,t6)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_24518,plain,
( or(and(t7,not(xor(t2,or(a,t6)))),and(not(t7),xor(t2,or(a,t6)))) != xor(t7,xor(t2,or(a,t6)))
| or(and(t7,not(xor(t2,or(a,t6)))),ll0) = xor(t7,xor(t2,or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(not(t7),xor(t2,or(a,t6))),ll0) )],[refute_0_24516,refute_0_24517]) ).
cnf(refute_0_24519,plain,
or(and(t7,not(xor(t2,or(a,t6)))),ll0) = xor(t7,xor(t2,or(a,t6))),
inference(resolve,[$cnf( $equal(or(and(t7,not(xor(t2,or(a,t6)))),and(not(t7),xor(t2,or(a,t6)))),xor(t7,xor(t2,or(a,t6)))) )],[refute_0_24271,refute_0_24518]) ).
cnf(refute_0_24520,plain,
or(and(t7,not(xor(t2,or(a,t6)))),ll0) = and(t7,not(xor(t2,or(a,t6)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t7,not(xor(t2,or(a,t6))))))]]) ).
cnf(refute_0_24521,plain,
( or(and(t7,not(xor(t2,or(a,t6)))),ll0) != and(t7,not(xor(t2,or(a,t6))))
| or(and(t7,not(xor(t2,or(a,t6)))),ll0) != xor(t7,xor(t2,or(a,t6)))
| and(t7,not(xor(t2,or(a,t6)))) = xor(t7,xor(t2,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t7,not(xor(t2,or(a,t6)))),ll0),xor(t7,xor(t2,or(a,t6)))) ),[0],$fot(and(t7,not(xor(t2,or(a,t6)))))]]) ).
cnf(refute_0_24522,plain,
( or(and(t7,not(xor(t2,or(a,t6)))),ll0) != xor(t7,xor(t2,or(a,t6)))
| and(t7,not(xor(t2,or(a,t6)))) = xor(t7,xor(t2,or(a,t6))) ),
inference(resolve,[$cnf( $equal(or(and(t7,not(xor(t2,or(a,t6)))),ll0),and(t7,not(xor(t2,or(a,t6))))) )],[refute_0_24520,refute_0_24521]) ).
cnf(refute_0_24523,plain,
xor(t7,xor(t2,or(a,t6))) = xor(t2,xor(t7,or(a,t6))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(t2)),bind(X_334,$fot(t7)),bind(X_335,$fot(or(a,t6)))]]) ).
cnf(refute_0_24524,plain,
( and(t7,not(xor(t2,or(a,t6)))) != xor(t7,xor(t2,or(a,t6)))
| xor(t7,xor(t2,or(a,t6))) != xor(t2,xor(t7,or(a,t6)))
| and(t7,not(xor(t2,or(a,t6)))) = xor(t2,xor(t7,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t7,not(xor(t2,or(a,t6)))),xor(t2,xor(t7,or(a,t6)))) ),[0],$fot(xor(t7,xor(t2,or(a,t6))))]]) ).
cnf(refute_0_24525,plain,
( and(t7,not(xor(t2,or(a,t6)))) != xor(t7,xor(t2,or(a,t6)))
| and(t7,not(xor(t2,or(a,t6)))) = xor(t2,xor(t7,or(a,t6))) ),
inference(resolve,[$cnf( $equal(xor(t7,xor(t2,or(a,t6))),xor(t2,xor(t7,or(a,t6)))) )],[refute_0_24523,refute_0_24524]) ).
cnf(refute_0_24526,plain,
( or(and(t7,not(xor(t2,or(a,t6)))),ll0) != xor(t7,xor(t2,or(a,t6)))
| and(t7,not(xor(t2,or(a,t6)))) = xor(t2,xor(t7,or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(t7,not(xor(t2,or(a,t6)))),xor(t7,xor(t2,or(a,t6)))) )],[refute_0_24522,refute_0_24525]) ).
cnf(refute_0_24527,plain,
and(t7,not(xor(t2,or(a,t6)))) = xor(t2,xor(t7,or(a,t6))),
inference(resolve,[$cnf( $equal(or(and(t7,not(xor(t2,or(a,t6)))),ll0),xor(t7,xor(t2,or(a,t6)))) )],[refute_0_24519,refute_0_24526]) ).
cnf(refute_0_24528,plain,
or(and(t4,not(xor(t3,or(a,t6)))),and(not(t4),xor(t3,or(a,t6)))) = xor(t4,xor(t3,or(a,t6))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t4)),bind(Y,$fot(xor(t3,or(a,t6))))]]) ).
cnf(refute_0_24529,plain,
and(not(t4),xor(t3,or(a,t6))) = and(t2,and(t3,xor(t3,or(a,t6)))),
inference(subst,[],[refute_0_611:[bind(X_222,$fot(xor(t3,or(a,t6))))]]) ).
cnf(refute_0_24530,plain,
ll0 = and(t3,and(not(t3),or(a,t6))),
inference(subst,[],[refute_0_5426:[bind(X_220,$fot(t3)),bind(X_222,$fot(or(a,t6)))]]) ).
cnf(refute_0_24531,plain,
( and(not(t3),or(a,t6)) != xor(t3,or(a,t6))
| ll0 != and(t3,and(not(t3),or(a,t6)))
| ll0 = and(t3,xor(t3,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(t3,and(not(t3),or(a,t6)))) ),[1,1],$fot(xor(t3,or(a,t6)))]]) ).
cnf(refute_0_24532,plain,
( ll0 != and(t3,and(not(t3),or(a,t6)))
| ll0 = and(t3,xor(t3,or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(not(t3),or(a,t6)),xor(t3,or(a,t6))) )],[refute_0_21041,refute_0_24531]) ).
cnf(refute_0_24533,plain,
ll0 = and(t3,xor(t3,or(a,t6))),
inference(resolve,[$cnf( $equal(ll0,and(t3,and(not(t3),or(a,t6)))) )],[refute_0_24530,refute_0_24532]) ).
cnf(refute_0_24534,plain,
( ll0 != and(t3,xor(t3,or(a,t6)))
| and(t3,xor(t3,or(a,t6))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(t3,xor(t3,or(a,t6)))))]]) ).
cnf(refute_0_24535,plain,
and(t3,xor(t3,or(a,t6))) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(t3,xor(t3,or(a,t6)))) )],[refute_0_24533,refute_0_24534]) ).
cnf(refute_0_24536,plain,
( and(not(t4),xor(t3,or(a,t6))) != and(t2,and(t3,xor(t3,or(a,t6))))
| and(t3,xor(t3,or(a,t6))) != ll0
| and(not(t4),xor(t3,or(a,t6))) = and(t2,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),xor(t3,or(a,t6))),and(t2,and(t3,xor(t3,or(a,t6))))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_24537,plain,
( and(not(t4),xor(t3,or(a,t6))) != and(t2,and(t3,xor(t3,or(a,t6))))
| and(not(t4),xor(t3,or(a,t6))) = and(t2,ll0) ),
inference(resolve,[$cnf( $equal(and(t3,xor(t3,or(a,t6))),ll0) )],[refute_0_24535,refute_0_24536]) ).
cnf(refute_0_24538,plain,
and(not(t4),xor(t3,or(a,t6))) = and(t2,ll0),
inference(resolve,[$cnf( $equal(and(not(t4),xor(t3,or(a,t6))),and(t2,and(t3,xor(t3,or(a,t6))))) )],[refute_0_24529,refute_0_24537]) ).
cnf(refute_0_24539,plain,
( and(not(t4),xor(t3,or(a,t6))) != and(t2,ll0)
| and(t2,ll0) != ll0
| and(not(t4),xor(t3,or(a,t6))) = ll0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(t4),xor(t3,or(a,t6))),ll0) ),[0],$fot(and(t2,ll0))]]) ).
cnf(refute_0_24540,plain,
( and(not(t4),xor(t3,or(a,t6))) != and(t2,ll0)
| and(not(t4),xor(t3,or(a,t6))) = ll0 ),
inference(resolve,[$cnf( $equal(and(t2,ll0),ll0) )],[refute_0_24359,refute_0_24539]) ).
cnf(refute_0_24541,plain,
and(not(t4),xor(t3,or(a,t6))) = ll0,
inference(resolve,[$cnf( $equal(and(not(t4),xor(t3,or(a,t6))),and(t2,ll0)) )],[refute_0_24538,refute_0_24540]) ).
cnf(refute_0_24542,plain,
( and(not(t4),xor(t3,or(a,t6))) != ll0
| or(and(t4,not(xor(t3,or(a,t6)))),and(not(t4),xor(t3,or(a,t6)))) != xor(t4,xor(t3,or(a,t6)))
| or(and(t4,not(xor(t3,or(a,t6)))),ll0) = xor(t4,xor(t3,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,not(xor(t3,or(a,t6)))),and(not(t4),xor(t3,or(a,t6)))),xor(t4,xor(t3,or(a,t6)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_24543,plain,
( or(and(t4,not(xor(t3,or(a,t6)))),and(not(t4),xor(t3,or(a,t6)))) != xor(t4,xor(t3,or(a,t6)))
| or(and(t4,not(xor(t3,or(a,t6)))),ll0) = xor(t4,xor(t3,or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(not(t4),xor(t3,or(a,t6))),ll0) )],[refute_0_24541,refute_0_24542]) ).
cnf(refute_0_24544,plain,
or(and(t4,not(xor(t3,or(a,t6)))),ll0) = xor(t4,xor(t3,or(a,t6))),
inference(resolve,[$cnf( $equal(or(and(t4,not(xor(t3,or(a,t6)))),and(not(t4),xor(t3,or(a,t6)))),xor(t4,xor(t3,or(a,t6)))) )],[refute_0_24528,refute_0_24543]) ).
cnf(refute_0_24545,plain,
or(and(t4,not(xor(t3,or(a,t6)))),ll0) = and(t4,not(xor(t3,or(a,t6)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t4,not(xor(t3,or(a,t6))))))]]) ).
cnf(refute_0_24546,plain,
( or(and(t4,not(xor(t3,or(a,t6)))),ll0) != and(t4,not(xor(t3,or(a,t6))))
| or(and(t4,not(xor(t3,or(a,t6)))),ll0) != xor(t4,xor(t3,or(a,t6)))
| and(t4,not(xor(t3,or(a,t6)))) = xor(t4,xor(t3,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,not(xor(t3,or(a,t6)))),ll0),xor(t4,xor(t3,or(a,t6)))) ),[0],$fot(and(t4,not(xor(t3,or(a,t6)))))]]) ).
cnf(refute_0_24547,plain,
( or(and(t4,not(xor(t3,or(a,t6)))),ll0) != xor(t4,xor(t3,or(a,t6)))
| and(t4,not(xor(t3,or(a,t6)))) = xor(t4,xor(t3,or(a,t6))) ),
inference(resolve,[$cnf( $equal(or(and(t4,not(xor(t3,or(a,t6)))),ll0),and(t4,not(xor(t3,or(a,t6))))) )],[refute_0_24545,refute_0_24546]) ).
cnf(refute_0_24548,plain,
xor(t3,xor(t4,or(a,t6))) = xor(t2,or(a,t6)),
inference(subst,[],[refute_0_2264:[bind(Z,$fot(or(a,t6)))]]) ).
cnf(refute_0_24549,plain,
xor(t4,xor(t3,or(a,t6))) = xor(t3,xor(t4,or(a,t6))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(t3)),bind(X_334,$fot(t4)),bind(X_335,$fot(or(a,t6)))]]) ).
cnf(refute_0_24550,plain,
( xor(t3,xor(t4,or(a,t6))) != xor(t2,or(a,t6))
| xor(t4,xor(t3,or(a,t6))) != xor(t3,xor(t4,or(a,t6)))
| xor(t4,xor(t3,or(a,t6))) = xor(t2,or(a,t6)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t4,xor(t3,or(a,t6))))),bind(Y0,$fot(xor(t3,xor(t4,or(a,t6))))),bind(Z0,$fot(xor(t2,or(a,t6))))]]) ).
cnf(refute_0_24551,plain,
( xor(t3,xor(t4,or(a,t6))) != xor(t2,or(a,t6))
| xor(t4,xor(t3,or(a,t6))) = xor(t2,or(a,t6)) ),
inference(resolve,[$cnf( $equal(xor(t4,xor(t3,or(a,t6))),xor(t3,xor(t4,or(a,t6)))) )],[refute_0_24549,refute_0_24550]) ).
cnf(refute_0_24552,plain,
xor(t4,xor(t3,or(a,t6))) = xor(t2,or(a,t6)),
inference(resolve,[$cnf( $equal(xor(t3,xor(t4,or(a,t6))),xor(t2,or(a,t6))) )],[refute_0_24548,refute_0_24551]) ).
cnf(refute_0_24553,plain,
( and(t4,not(xor(t3,or(a,t6)))) != xor(t4,xor(t3,or(a,t6)))
| xor(t4,xor(t3,or(a,t6))) != xor(t2,or(a,t6))
| and(t4,not(xor(t3,or(a,t6)))) = xor(t2,or(a,t6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t4,not(xor(t3,or(a,t6)))),xor(t2,or(a,t6))) ),[0],$fot(xor(t4,xor(t3,or(a,t6))))]]) ).
cnf(refute_0_24554,plain,
( and(t4,not(xor(t3,or(a,t6)))) != xor(t4,xor(t3,or(a,t6)))
| and(t4,not(xor(t3,or(a,t6)))) = xor(t2,or(a,t6)) ),
inference(resolve,[$cnf( $equal(xor(t4,xor(t3,or(a,t6))),xor(t2,or(a,t6))) )],[refute_0_24552,refute_0_24553]) ).
cnf(refute_0_24555,plain,
( or(and(t4,not(xor(t3,or(a,t6)))),ll0) != xor(t4,xor(t3,or(a,t6)))
| and(t4,not(xor(t3,or(a,t6)))) = xor(t2,or(a,t6)) ),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t3,or(a,t6)))),xor(t4,xor(t3,or(a,t6)))) )],[refute_0_24547,refute_0_24554]) ).
cnf(refute_0_24556,plain,
and(t4,not(xor(t3,or(a,t6)))) = xor(t2,or(a,t6)),
inference(resolve,[$cnf( $equal(or(and(t4,not(xor(t3,or(a,t6)))),ll0),xor(t4,xor(t3,or(a,t6)))) )],[refute_0_24544,refute_0_24555]) ).
cnf(refute_0_24557,plain,
and(t4,not(xor(t3,or(a,t6)))) = and(t4,not(xor(t3,or(a,t6)))),
introduced(tautology,[refl,[$fot(and(t4,not(xor(t3,or(a,t6)))))]]) ).
cnf(refute_0_24558,plain,
( and(t4,not(xor(t3,or(a,t6)))) != and(t4,not(xor(t3,or(a,t6))))
| not(xor(t3,or(a,t6))) != or(a,t5)
| and(t4,not(xor(t3,or(a,t6)))) = and(t4,or(a,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,not(xor(t3,or(a,t6)))),and(t4,not(xor(t3,or(a,t6))))) ),[1,1],$fot(or(a,t5))]]) ).
cnf(refute_0_24559,plain,
( not(xor(t3,or(a,t6))) != or(a,t5)
| and(t4,not(xor(t3,or(a,t6)))) = and(t4,or(a,t5)) ),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t3,or(a,t6)))),and(t4,not(xor(t3,or(a,t6))))) )],[refute_0_24557,refute_0_24558]) ).
cnf(refute_0_24560,plain,
and(t4,not(xor(t3,or(a,t6)))) = and(t4,or(a,t5)),
inference(resolve,[$cnf( $equal(not(xor(t3,or(a,t6))),or(a,t5)) )],[refute_0_22080,refute_0_24559]) ).
cnf(refute_0_24561,plain,
( and(t4,not(xor(t3,or(a,t6)))) != and(t4,or(a,t5))
| and(t4,not(xor(t3,or(a,t6)))) != xor(t2,or(a,t6))
| and(t4,or(a,t5)) = xor(t2,or(a,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,not(xor(t3,or(a,t6)))),xor(t2,or(a,t6))) ),[0],$fot(and(t4,or(a,t5)))]]) ).
cnf(refute_0_24562,plain,
( and(t4,not(xor(t3,or(a,t6)))) != xor(t2,or(a,t6))
| and(t4,or(a,t5)) = xor(t2,or(a,t6)) ),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t3,or(a,t6)))),and(t4,or(a,t5))) )],[refute_0_24560,refute_0_24561]) ).
cnf(refute_0_24563,plain,
and(t4,or(a,t5)) = xor(t2,or(a,t6)),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t3,or(a,t6)))),xor(t2,or(a,t6))) )],[refute_0_24556,refute_0_24562]) ).
cnf(refute_0_24564,plain,
( and(t4,or(a,t5)) != xor(t2,or(a,t6))
| xor(t2,or(a,t6)) = and(t4,or(a,t5)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t4,or(a,t5)))),bind(Y0,$fot(xor(t2,or(a,t6))))]]) ).
cnf(refute_0_24565,plain,
xor(t2,or(a,t6)) = and(t4,or(a,t5)),
inference(resolve,[$cnf( $equal(and(t4,or(a,t5)),xor(t2,or(a,t6))) )],[refute_0_24563,refute_0_24564]) ).
cnf(refute_0_24566,plain,
not(xor(t2,or(a,t6))) = not(xor(t2,or(a,t6))),
introduced(tautology,[refl,[$fot(not(xor(t2,or(a,t6))))]]) ).
cnf(refute_0_24567,plain,
( not(xor(t2,or(a,t6))) != not(xor(t2,or(a,t6)))
| xor(t2,or(a,t6)) != and(t4,or(a,t5))
| not(xor(t2,or(a,t6))) = not(and(t4,or(a,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t2,or(a,t6))),not(xor(t2,or(a,t6)))) ),[1,0],$fot(and(t4,or(a,t5)))]]) ).
cnf(refute_0_24568,plain,
( xor(t2,or(a,t6)) != and(t4,or(a,t5))
| not(xor(t2,or(a,t6))) = not(and(t4,or(a,t5))) ),
inference(resolve,[$cnf( $equal(not(xor(t2,or(a,t6))),not(xor(t2,or(a,t6)))) )],[refute_0_24566,refute_0_24567]) ).
cnf(refute_0_24569,plain,
not(xor(t2,or(a,t6))) = not(and(t4,or(a,t5))),
inference(resolve,[$cnf( $equal(xor(t2,or(a,t6)),and(t4,or(a,t5))) )],[refute_0_24565,refute_0_24568]) ).
cnf(refute_0_24570,plain,
and(t7,not(xor(t2,or(a,t6)))) = and(t7,not(xor(t2,or(a,t6)))),
introduced(tautology,[refl,[$fot(and(t7,not(xor(t2,or(a,t6)))))]]) ).
cnf(refute_0_24571,plain,
( and(t7,not(xor(t2,or(a,t6)))) != and(t7,not(xor(t2,or(a,t6))))
| not(xor(t2,or(a,t6))) != not(and(t4,or(a,t5)))
| and(t7,not(xor(t2,or(a,t6)))) = and(t7,not(and(t4,or(a,t5)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t7,not(xor(t2,or(a,t6)))),and(t7,not(xor(t2,or(a,t6))))) ),[1,1],$fot(not(and(t4,or(a,t5))))]]) ).
cnf(refute_0_24572,plain,
( not(xor(t2,or(a,t6))) != not(and(t4,or(a,t5)))
| and(t7,not(xor(t2,or(a,t6)))) = and(t7,not(and(t4,or(a,t5)))) ),
inference(resolve,[$cnf( $equal(and(t7,not(xor(t2,or(a,t6)))),and(t7,not(xor(t2,or(a,t6))))) )],[refute_0_24570,refute_0_24571]) ).
cnf(refute_0_24573,plain,
and(t7,not(xor(t2,or(a,t6)))) = and(t7,not(and(t4,or(a,t5)))),
inference(resolve,[$cnf( $equal(not(xor(t2,or(a,t6))),not(and(t4,or(a,t5)))) )],[refute_0_24569,refute_0_24572]) ).
cnf(refute_0_24574,plain,
( and(t7,not(xor(t2,or(a,t6)))) != and(t7,not(and(t4,or(a,t5))))
| and(t7,not(xor(t2,or(a,t6)))) != xor(t2,xor(t7,or(a,t6)))
| and(t7,not(and(t4,or(a,t5)))) = xor(t2,xor(t7,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t7,not(xor(t2,or(a,t6)))),xor(t2,xor(t7,or(a,t6)))) ),[0],$fot(and(t7,not(and(t4,or(a,t5)))))]]) ).
cnf(refute_0_24575,plain,
( and(t7,not(xor(t2,or(a,t6)))) != xor(t2,xor(t7,or(a,t6)))
| and(t7,not(and(t4,or(a,t5)))) = xor(t2,xor(t7,or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(t7,not(xor(t2,or(a,t6)))),and(t7,not(and(t4,or(a,t5))))) )],[refute_0_24573,refute_0_24574]) ).
cnf(refute_0_24576,plain,
( and(t6,xor(cin,or(a,t5))) != xor(t2,and(sum,or(b,t6)))
| xor(t2,and(sum,or(b,t6))) = and(t6,xor(cin,or(a,t5))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t6,xor(cin,or(a,t5))))),bind(Y0,$fot(xor(t2,and(sum,or(b,t6)))))]]) ).
cnf(refute_0_24577,plain,
xor(t2,and(sum,or(b,t6))) = and(t6,xor(cin,or(a,t5))),
inference(resolve,[$cnf( $equal(and(t6,xor(cin,or(a,t5))),xor(t2,and(sum,or(b,t6)))) )],[refute_0_24270,refute_0_24576]) ).
cnf(refute_0_24578,plain,
( xor(t2,and(sum,or(b,t6))) != and(t6,xor(cin,or(a,t5)))
| xor(t2,xor(t7,or(a,t6))) != xor(t2,and(sum,or(b,t6)))
| xor(t2,xor(t7,or(a,t6))) = and(t6,xor(cin,or(a,t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,xor(t7,or(a,t6))))),bind(Y0,$fot(xor(t2,and(sum,or(b,t6))))),bind(Z0,$fot(and(t6,xor(cin,or(a,t5)))))]]) ).
cnf(refute_0_24579,plain,
( xor(t2,and(sum,or(b,t6))) != and(t6,xor(cin,or(a,t5)))
| xor(t2,xor(t7,or(a,t6))) = and(t6,xor(cin,or(a,t5))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t7,or(a,t6))),xor(t2,and(sum,or(b,t6)))) )],[refute_0_24267,refute_0_24578]) ).
cnf(refute_0_24580,plain,
xor(t2,xor(t7,or(a,t6))) = and(t6,xor(cin,or(a,t5))),
inference(resolve,[$cnf( $equal(xor(t2,and(sum,or(b,t6))),and(t6,xor(cin,or(a,t5)))) )],[refute_0_24577,refute_0_24579]) ).
cnf(refute_0_24581,plain,
( and(t7,not(and(t4,or(a,t5)))) != xor(t2,xor(t7,or(a,t6)))
| xor(t2,xor(t7,or(a,t6))) != and(t6,xor(cin,or(a,t5)))
| and(t7,not(and(t4,or(a,t5)))) = and(t6,xor(cin,or(a,t5))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t7,not(and(t4,or(a,t5)))),and(t6,xor(cin,or(a,t5)))) ),[0],$fot(xor(t2,xor(t7,or(a,t6))))]]) ).
cnf(refute_0_24582,plain,
( and(t7,not(and(t4,or(a,t5)))) != xor(t2,xor(t7,or(a,t6)))
| and(t7,not(and(t4,or(a,t5)))) = and(t6,xor(cin,or(a,t5))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t7,or(a,t6))),and(t6,xor(cin,or(a,t5)))) )],[refute_0_24580,refute_0_24581]) ).
cnf(refute_0_24583,plain,
( and(t7,not(xor(t2,or(a,t6)))) != xor(t2,xor(t7,or(a,t6)))
| and(t7,not(and(t4,or(a,t5)))) = and(t6,xor(cin,or(a,t5))) ),
inference(resolve,[$cnf( $equal(and(t7,not(and(t4,or(a,t5)))),xor(t2,xor(t7,or(a,t6)))) )],[refute_0_24575,refute_0_24582]) ).
cnf(refute_0_24584,plain,
and(t7,not(and(t4,or(a,t5)))) = and(t6,xor(cin,or(a,t5))),
inference(resolve,[$cnf( $equal(and(t7,not(xor(t2,or(a,t6)))),xor(t2,xor(t7,or(a,t6)))) )],[refute_0_24527,refute_0_24583]) ).
cnf(refute_0_24585,plain,
and(t2,and(t6,t7)) = and(t2,and(t6,t7)),
introduced(tautology,[refl,[$fot(and(t2,and(t6,t7)))]]) ).
cnf(refute_0_24586,plain,
( and(t2,and(t6,t7)) != and(t2,and(t6,t7))
| and(t6,t7) != not(sum)
| and(t2,and(t6,t7)) = and(t2,not(sum)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,and(t6,t7)),and(t2,and(t6,t7))) ),[1,1],$fot(not(sum))]]) ).
cnf(refute_0_24587,plain,
( and(t6,t7) != not(sum)
| and(t2,and(t6,t7)) = and(t2,not(sum)) ),
inference(resolve,[$cnf( $equal(and(t2,and(t6,t7)),and(t2,and(t6,t7))) )],[refute_0_24585,refute_0_24586]) ).
cnf(refute_0_24588,plain,
and(t2,and(t6,t7)) = and(t2,not(sum)),
inference(resolve,[$cnf( $equal(and(t6,t7),not(sum)) )],[refute_0_1039,refute_0_24587]) ).
cnf(refute_0_24589,plain,
and(t2,and(t7,t6)) = and(t2,and(t6,t7)),
inference(subst,[],[refute_0_2637:[bind(X_220,$fot(t2)),bind(X_221,$fot(t6)),bind(X_222,$fot(t7))]]) ).
cnf(refute_0_24590,plain,
( and(t2,and(t6,t7)) != and(t2,not(sum))
| and(t2,and(t7,t6)) != and(t2,and(t6,t7))
| and(t2,and(t7,t6)) = and(t2,not(sum)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t2,and(t7,t6)))),bind(Y0,$fot(and(t2,and(t6,t7)))),bind(Z0,$fot(and(t2,not(sum))))]]) ).
cnf(refute_0_24591,plain,
( and(t2,and(t6,t7)) != and(t2,not(sum))
| and(t2,and(t7,t6)) = and(t2,not(sum)) ),
inference(resolve,[$cnf( $equal(and(t2,and(t7,t6)),and(t2,and(t6,t7))) )],[refute_0_24589,refute_0_24590]) ).
cnf(refute_0_24592,plain,
and(t2,and(t7,t6)) = and(t2,not(sum)),
inference(resolve,[$cnf( $equal(and(t2,and(t6,t7)),and(t2,not(sum))) )],[refute_0_24588,refute_0_24591]) ).
cnf(refute_0_24593,plain,
and(t7,and(t2,t6)) = and(t2,and(t7,t6)),
inference(subst,[],[refute_0_4220:[bind(X,$fot(t2)),bind(Z,$fot(t6)),bind(X_669,$fot(t7))]]) ).
cnf(refute_0_24594,plain,
( and(t2,and(t7,t6)) != and(t2,not(sum))
| and(t7,and(t2,t6)) != and(t2,and(t7,t6))
| and(t7,and(t2,t6)) = and(t2,not(sum)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t7,and(t2,t6)))),bind(Y0,$fot(and(t2,and(t7,t6)))),bind(Z0,$fot(and(t2,not(sum))))]]) ).
cnf(refute_0_24595,plain,
( and(t2,and(t7,t6)) != and(t2,not(sum))
| and(t7,and(t2,t6)) = and(t2,not(sum)) ),
inference(resolve,[$cnf( $equal(and(t7,and(t2,t6)),and(t2,and(t7,t6))) )],[refute_0_24593,refute_0_24594]) ).
cnf(refute_0_24596,plain,
and(t7,and(t2,t6)) = and(t2,not(sum)),
inference(resolve,[$cnf( $equal(and(t2,and(t7,t6)),and(t2,not(sum))) )],[refute_0_24592,refute_0_24595]) ).
cnf(refute_0_24597,plain,
or(and(t4,not(xor(t3,or(t6,and(t3,t4))))),and(not(t4),xor(t3,or(t6,and(t3,t4))))) = xor(t4,xor(t3,or(t6,and(t3,t4)))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t4)),bind(Y,$fot(xor(t3,or(t6,and(t3,t4)))))]]) ).
cnf(refute_0_24598,plain,
and(not(t4),xor(t3,or(t6,and(t3,t4)))) = and(t2,and(t3,xor(t3,or(t6,and(t3,t4))))),
inference(subst,[],[refute_0_611:[bind(X_222,$fot(xor(t3,or(t6,and(t3,t4)))))]]) ).
cnf(refute_0_24599,plain,
ll0 = and(t3,and(not(t3),or(t6,and(t3,t4)))),
inference(subst,[],[refute_0_5426:[bind(X_220,$fot(t3)),bind(X_222,$fot(or(t6,and(t3,t4))))]]) ).
cnf(refute_0_24600,plain,
( and(not(t3),or(t6,and(t3,t4))) != xor(t3,or(t6,and(t3,t4)))
| ll0 != and(t3,and(not(t3),or(t6,and(t3,t4))))
| ll0 = and(t3,xor(t3,or(t6,and(t3,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,and(t3,and(not(t3),or(t6,and(t3,t4))))) ),[1,1],$fot(xor(t3,or(t6,and(t3,t4))))]]) ).
cnf(refute_0_24601,plain,
( ll0 != and(t3,and(not(t3),or(t6,and(t3,t4))))
| ll0 = and(t3,xor(t3,or(t6,and(t3,t4)))) ),
inference(resolve,[$cnf( $equal(and(not(t3),or(t6,and(t3,t4))),xor(t3,or(t6,and(t3,t4)))) )],[refute_0_22904,refute_0_24600]) ).
cnf(refute_0_24602,plain,
ll0 = and(t3,xor(t3,or(t6,and(t3,t4)))),
inference(resolve,[$cnf( $equal(ll0,and(t3,and(not(t3),or(t6,and(t3,t4))))) )],[refute_0_24599,refute_0_24601]) ).
cnf(refute_0_24603,plain,
( ll0 != and(t3,xor(t3,or(t6,and(t3,t4))))
| and(t3,xor(t3,or(t6,and(t3,t4)))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(t3,xor(t3,or(t6,and(t3,t4))))))]]) ).
cnf(refute_0_24604,plain,
and(t3,xor(t3,or(t6,and(t3,t4)))) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(t3,xor(t3,or(t6,and(t3,t4))))) )],[refute_0_24602,refute_0_24603]) ).
cnf(refute_0_24605,plain,
( and(not(t4),xor(t3,or(t6,and(t3,t4)))) != and(t2,and(t3,xor(t3,or(t6,and(t3,t4)))))
| and(t3,xor(t3,or(t6,and(t3,t4)))) != ll0
| and(not(t4),xor(t3,or(t6,and(t3,t4)))) = and(t2,ll0) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),xor(t3,or(t6,and(t3,t4)))),and(t2,and(t3,xor(t3,or(t6,and(t3,t4)))))) ),[1,1],$fot(ll0)]]) ).
cnf(refute_0_24606,plain,
( and(not(t4),xor(t3,or(t6,and(t3,t4)))) != and(t2,and(t3,xor(t3,or(t6,and(t3,t4)))))
| and(not(t4),xor(t3,or(t6,and(t3,t4)))) = and(t2,ll0) ),
inference(resolve,[$cnf( $equal(and(t3,xor(t3,or(t6,and(t3,t4)))),ll0) )],[refute_0_24604,refute_0_24605]) ).
cnf(refute_0_24607,plain,
and(not(t4),xor(t3,or(t6,and(t3,t4)))) = and(t2,ll0),
inference(resolve,[$cnf( $equal(and(not(t4),xor(t3,or(t6,and(t3,t4)))),and(t2,and(t3,xor(t3,or(t6,and(t3,t4)))))) )],[refute_0_24598,refute_0_24606]) ).
cnf(refute_0_24608,plain,
( and(not(t4),xor(t3,or(t6,and(t3,t4)))) != and(t2,ll0)
| and(t2,ll0) != ll0
| and(not(t4),xor(t3,or(t6,and(t3,t4)))) = ll0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(t4),xor(t3,or(t6,and(t3,t4)))),ll0) ),[0],$fot(and(t2,ll0))]]) ).
cnf(refute_0_24609,plain,
( and(not(t4),xor(t3,or(t6,and(t3,t4)))) != and(t2,ll0)
| and(not(t4),xor(t3,or(t6,and(t3,t4)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(t2,ll0),ll0) )],[refute_0_24359,refute_0_24608]) ).
cnf(refute_0_24610,plain,
and(not(t4),xor(t3,or(t6,and(t3,t4)))) = ll0,
inference(resolve,[$cnf( $equal(and(not(t4),xor(t3,or(t6,and(t3,t4)))),and(t2,ll0)) )],[refute_0_24607,refute_0_24609]) ).
cnf(refute_0_24611,plain,
( and(not(t4),xor(t3,or(t6,and(t3,t4)))) != ll0
| or(and(t4,not(xor(t3,or(t6,and(t3,t4))))),and(not(t4),xor(t3,or(t6,and(t3,t4))))) != xor(t4,xor(t3,or(t6,and(t3,t4))))
| or(and(t4,not(xor(t3,or(t6,and(t3,t4))))),ll0) = xor(t4,xor(t3,or(t6,and(t3,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,not(xor(t3,or(t6,and(t3,t4))))),and(not(t4),xor(t3,or(t6,and(t3,t4))))),xor(t4,xor(t3,or(t6,and(t3,t4))))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_24612,plain,
( or(and(t4,not(xor(t3,or(t6,and(t3,t4))))),and(not(t4),xor(t3,or(t6,and(t3,t4))))) != xor(t4,xor(t3,or(t6,and(t3,t4))))
| or(and(t4,not(xor(t3,or(t6,and(t3,t4))))),ll0) = xor(t4,xor(t3,or(t6,and(t3,t4)))) ),
inference(resolve,[$cnf( $equal(and(not(t4),xor(t3,or(t6,and(t3,t4)))),ll0) )],[refute_0_24610,refute_0_24611]) ).
cnf(refute_0_24613,plain,
or(and(t4,not(xor(t3,or(t6,and(t3,t4))))),ll0) = xor(t4,xor(t3,or(t6,and(t3,t4)))),
inference(resolve,[$cnf( $equal(or(and(t4,not(xor(t3,or(t6,and(t3,t4))))),and(not(t4),xor(t3,or(t6,and(t3,t4))))),xor(t4,xor(t3,or(t6,and(t3,t4))))) )],[refute_0_24597,refute_0_24612]) ).
cnf(refute_0_24614,plain,
or(and(t4,not(xor(t3,or(t6,and(t3,t4))))),ll0) = and(t4,not(xor(t3,or(t6,and(t3,t4))))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t4,not(xor(t3,or(t6,and(t3,t4)))))))]]) ).
cnf(refute_0_24615,plain,
( or(and(t4,not(xor(t3,or(t6,and(t3,t4))))),ll0) != and(t4,not(xor(t3,or(t6,and(t3,t4)))))
| or(and(t4,not(xor(t3,or(t6,and(t3,t4))))),ll0) != xor(t4,xor(t3,or(t6,and(t3,t4))))
| and(t4,not(xor(t3,or(t6,and(t3,t4))))) = xor(t4,xor(t3,or(t6,and(t3,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t4,not(xor(t3,or(t6,and(t3,t4))))),ll0),xor(t4,xor(t3,or(t6,and(t3,t4))))) ),[0],$fot(and(t4,not(xor(t3,or(t6,and(t3,t4))))))]]) ).
cnf(refute_0_24616,plain,
( or(and(t4,not(xor(t3,or(t6,and(t3,t4))))),ll0) != xor(t4,xor(t3,or(t6,and(t3,t4))))
| and(t4,not(xor(t3,or(t6,and(t3,t4))))) = xor(t4,xor(t3,or(t6,and(t3,t4)))) ),
inference(resolve,[$cnf( $equal(or(and(t4,not(xor(t3,or(t6,and(t3,t4))))),ll0),and(t4,not(xor(t3,or(t6,and(t3,t4)))))) )],[refute_0_24614,refute_0_24615]) ).
cnf(refute_0_24617,plain,
and(t4,not(xor(t3,or(t6,and(t3,t4))))) = xor(t4,xor(t3,or(t6,and(t3,t4)))),
inference(resolve,[$cnf( $equal(or(and(t4,not(xor(t3,or(t6,and(t3,t4))))),ll0),xor(t4,xor(t3,or(t6,and(t3,t4))))) )],[refute_0_24613,refute_0_24616]) ).
cnf(refute_0_24618,plain,
xor(t4,xor(t3,or(t6,and(t3,t4)))) = xor(t3,xor(t4,or(t6,and(t3,t4)))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(t3)),bind(X_334,$fot(t4)),bind(X_335,$fot(or(t6,and(t3,t4))))]]) ).
cnf(refute_0_24619,plain,
( and(t4,not(xor(t3,or(t6,and(t3,t4))))) != xor(t4,xor(t3,or(t6,and(t3,t4))))
| xor(t4,xor(t3,or(t6,and(t3,t4)))) != xor(t3,xor(t4,or(t6,and(t3,t4))))
| and(t4,not(xor(t3,or(t6,and(t3,t4))))) = xor(t3,xor(t4,or(t6,and(t3,t4)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t4,not(xor(t3,or(t6,and(t3,t4))))),xor(t3,xor(t4,or(t6,and(t3,t4))))) ),[0],$fot(xor(t4,xor(t3,or(t6,and(t3,t4)))))]]) ).
cnf(refute_0_24620,plain,
( and(t4,not(xor(t3,or(t6,and(t3,t4))))) != xor(t4,xor(t3,or(t6,and(t3,t4))))
| and(t4,not(xor(t3,or(t6,and(t3,t4))))) = xor(t3,xor(t4,or(t6,and(t3,t4)))) ),
inference(resolve,[$cnf( $equal(xor(t4,xor(t3,or(t6,and(t3,t4)))),xor(t3,xor(t4,or(t6,and(t3,t4))))) )],[refute_0_24618,refute_0_24619]) ).
cnf(refute_0_24621,plain,
and(t4,not(xor(t3,or(t6,and(t3,t4))))) = xor(t3,xor(t4,or(t6,and(t3,t4)))),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t3,or(t6,and(t3,t4))))),xor(t4,xor(t3,or(t6,and(t3,t4))))) )],[refute_0_24617,refute_0_24620]) ).
cnf(refute_0_24622,plain,
and(t4,not(xor(t3,or(t6,and(t3,t4))))) = and(t4,not(xor(t3,or(t6,and(t3,t4))))),
introduced(tautology,[refl,[$fot(and(t4,not(xor(t3,or(t6,and(t3,t4))))))]]) ).
cnf(refute_0_24623,plain,
( and(t4,not(xor(t3,or(t6,and(t3,t4))))) != and(t4,not(xor(t3,or(t6,and(t3,t4)))))
| not(xor(t3,or(t6,and(t3,t4)))) != not(xor(t3,or(t6,not(t2))))
| and(t4,not(xor(t3,or(t6,and(t3,t4))))) = and(t4,not(xor(t3,or(t6,not(t2))))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,not(xor(t3,or(t6,and(t3,t4))))),and(t4,not(xor(t3,or(t6,and(t3,t4)))))) ),[1,1],$fot(not(xor(t3,or(t6,not(t2)))))]]) ).
cnf(refute_0_24624,plain,
( not(xor(t3,or(t6,and(t3,t4)))) != not(xor(t3,or(t6,not(t2))))
| and(t4,not(xor(t3,or(t6,and(t3,t4))))) = and(t4,not(xor(t3,or(t6,not(t2))))) ),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t3,or(t6,and(t3,t4))))),and(t4,not(xor(t3,or(t6,and(t3,t4)))))) )],[refute_0_24622,refute_0_24623]) ).
cnf(refute_0_24625,plain,
and(t4,not(xor(t3,or(t6,and(t3,t4))))) = and(t4,not(xor(t3,or(t6,not(t2))))),
inference(resolve,[$cnf( $equal(not(xor(t3,or(t6,and(t3,t4)))),not(xor(t3,or(t6,not(t2))))) )],[refute_0_22944,refute_0_24624]) ).
cnf(refute_0_24626,plain,
( and(t4,not(xor(t3,or(t6,and(t3,t4))))) != and(t4,not(xor(t3,or(t6,not(t2)))))
| and(t4,not(xor(t3,or(t6,and(t3,t4))))) != xor(t3,xor(t4,or(t6,and(t3,t4))))
| and(t4,not(xor(t3,or(t6,not(t2))))) = xor(t3,xor(t4,or(t6,and(t3,t4)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,not(xor(t3,or(t6,and(t3,t4))))),xor(t3,xor(t4,or(t6,and(t3,t4))))) ),[0],$fot(and(t4,not(xor(t3,or(t6,not(t2))))))]]) ).
cnf(refute_0_24627,plain,
( and(t4,not(xor(t3,or(t6,and(t3,t4))))) != xor(t3,xor(t4,or(t6,and(t3,t4))))
| and(t4,not(xor(t3,or(t6,not(t2))))) = xor(t3,xor(t4,or(t6,and(t3,t4)))) ),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t3,or(t6,and(t3,t4))))),and(t4,not(xor(t3,or(t6,not(t2)))))) )],[refute_0_24625,refute_0_24626]) ).
cnf(refute_0_24628,plain,
xor(t2,or(t6,and(t3,t4))) = xor(t2,or(t6,and(t3,t4))),
introduced(tautology,[refl,[$fot(xor(t2,or(t6,and(t3,t4))))]]) ).
cnf(refute_0_24629,plain,
( or(t6,and(t3,t4)) != or(t6,not(t2))
| xor(t2,or(t6,and(t3,t4))) != xor(t2,or(t6,and(t3,t4)))
| xor(t2,or(t6,and(t3,t4))) = xor(t2,or(t6,not(t2))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,or(t6,and(t3,t4))),xor(t2,or(t6,and(t3,t4)))) ),[1,1],$fot(or(t6,not(t2)))]]) ).
cnf(refute_0_24630,plain,
( or(t6,and(t3,t4)) != or(t6,not(t2))
| xor(t2,or(t6,and(t3,t4))) = xor(t2,or(t6,not(t2))) ),
inference(resolve,[$cnf( $equal(xor(t2,or(t6,and(t3,t4))),xor(t2,or(t6,and(t3,t4)))) )],[refute_0_24628,refute_0_24629]) ).
cnf(refute_0_24631,plain,
xor(t2,or(t6,and(t3,t4))) = xor(t2,or(t6,not(t2))),
inference(resolve,[$cnf( $equal(or(t6,and(t3,t4)),or(t6,not(t2))) )],[refute_0_22923,refute_0_24630]) ).
cnf(refute_0_24632,plain,
xor(t3,xor(t4,or(t6,and(t3,t4)))) = xor(t2,or(t6,and(t3,t4))),
inference(subst,[],[refute_0_2264:[bind(Z,$fot(or(t6,and(t3,t4))))]]) ).
cnf(refute_0_24633,plain,
( xor(t2,or(t6,and(t3,t4))) != xor(t2,or(t6,not(t2)))
| xor(t3,xor(t4,or(t6,and(t3,t4)))) != xor(t2,or(t6,and(t3,t4)))
| xor(t3,xor(t4,or(t6,and(t3,t4)))) = xor(t2,or(t6,not(t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t3,xor(t4,or(t6,and(t3,t4)))))),bind(Y0,$fot(xor(t2,or(t6,and(t3,t4))))),bind(Z0,$fot(xor(t2,or(t6,not(t2)))))]]) ).
cnf(refute_0_24634,plain,
( xor(t2,or(t6,and(t3,t4))) != xor(t2,or(t6,not(t2)))
| xor(t3,xor(t4,or(t6,and(t3,t4)))) = xor(t2,or(t6,not(t2))) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(t4,or(t6,and(t3,t4)))),xor(t2,or(t6,and(t3,t4)))) )],[refute_0_24632,refute_0_24633]) ).
cnf(refute_0_24635,plain,
xor(t3,xor(t4,or(t6,and(t3,t4)))) = xor(t2,or(t6,not(t2))),
inference(resolve,[$cnf( $equal(xor(t2,or(t6,and(t3,t4))),xor(t2,or(t6,not(t2)))) )],[refute_0_24631,refute_0_24634]) ).
cnf(refute_0_24636,plain,
( and(t4,not(xor(t3,or(t6,not(t2))))) != xor(t3,xor(t4,or(t6,and(t3,t4))))
| xor(t3,xor(t4,or(t6,and(t3,t4)))) != xor(t2,or(t6,not(t2)))
| and(t4,not(xor(t3,or(t6,not(t2))))) = xor(t2,or(t6,not(t2))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t4,not(xor(t3,or(t6,not(t2))))),xor(t2,or(t6,not(t2)))) ),[0],$fot(xor(t3,xor(t4,or(t6,and(t3,t4)))))]]) ).
cnf(refute_0_24637,plain,
( and(t4,not(xor(t3,or(t6,not(t2))))) != xor(t3,xor(t4,or(t6,and(t3,t4))))
| and(t4,not(xor(t3,or(t6,not(t2))))) = xor(t2,or(t6,not(t2))) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(t4,or(t6,and(t3,t4)))),xor(t2,or(t6,not(t2)))) )],[refute_0_24635,refute_0_24636]) ).
cnf(refute_0_24638,plain,
( and(t4,not(xor(t3,or(t6,and(t3,t4))))) != xor(t3,xor(t4,or(t6,and(t3,t4))))
| and(t4,not(xor(t3,or(t6,not(t2))))) = xor(t2,or(t6,not(t2))) ),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t3,or(t6,not(t2))))),xor(t3,xor(t4,or(t6,and(t3,t4))))) )],[refute_0_24627,refute_0_24637]) ).
cnf(refute_0_24639,plain,
and(t4,not(xor(t3,or(t6,not(t2))))) = xor(t2,or(t6,not(t2))),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t3,or(t6,and(t3,t4))))),xor(t3,xor(t4,or(t6,and(t3,t4))))) )],[refute_0_24621,refute_0_24638]) ).
cnf(refute_0_24640,plain,
( or(t3,and(t2,not(t6))) != not(xor(t3,or(t6,not(t2))))
| not(xor(t3,or(t6,not(t2)))) = or(t3,and(t2,not(t6))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(t3,and(t2,not(t6))))),bind(Y0,$fot(not(xor(t3,or(t6,not(t2))))))]]) ).
cnf(refute_0_24641,plain,
not(xor(t3,or(t6,not(t2)))) = or(t3,and(t2,not(t6))),
inference(resolve,[$cnf( $equal(or(t3,and(t2,not(t6))),not(xor(t3,or(t6,not(t2))))) )],[refute_0_22948,refute_0_24640]) ).
cnf(refute_0_24642,plain,
and(t4,not(xor(t3,or(t6,not(t2))))) = and(t4,not(xor(t3,or(t6,not(t2))))),
introduced(tautology,[refl,[$fot(and(t4,not(xor(t3,or(t6,not(t2))))))]]) ).
cnf(refute_0_24643,plain,
( and(t4,not(xor(t3,or(t6,not(t2))))) != and(t4,not(xor(t3,or(t6,not(t2)))))
| not(xor(t3,or(t6,not(t2)))) != or(t3,and(t2,not(t6)))
| and(t4,not(xor(t3,or(t6,not(t2))))) = and(t4,or(t3,and(t2,not(t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,not(xor(t3,or(t6,not(t2))))),and(t4,not(xor(t3,or(t6,not(t2)))))) ),[1,1],$fot(or(t3,and(t2,not(t6))))]]) ).
cnf(refute_0_24644,plain,
( not(xor(t3,or(t6,not(t2)))) != or(t3,and(t2,not(t6)))
| and(t4,not(xor(t3,or(t6,not(t2))))) = and(t4,or(t3,and(t2,not(t6)))) ),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t3,or(t6,not(t2))))),and(t4,not(xor(t3,or(t6,not(t2)))))) )],[refute_0_24642,refute_0_24643]) ).
cnf(refute_0_24645,plain,
and(t4,not(xor(t3,or(t6,not(t2))))) = and(t4,or(t3,and(t2,not(t6)))),
inference(resolve,[$cnf( $equal(not(xor(t3,or(t6,not(t2)))),or(t3,and(t2,not(t6)))) )],[refute_0_24641,refute_0_24644]) ).
cnf(refute_0_24646,plain,
( and(t4,not(xor(t3,or(t6,not(t2))))) != and(t4,or(t3,and(t2,not(t6))))
| and(t4,not(xor(t3,or(t6,not(t2))))) != xor(t2,or(t6,not(t2)))
| and(t4,or(t3,and(t2,not(t6)))) = xor(t2,or(t6,not(t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,not(xor(t3,or(t6,not(t2))))),xor(t2,or(t6,not(t2)))) ),[0],$fot(and(t4,or(t3,and(t2,not(t6)))))]]) ).
cnf(refute_0_24647,plain,
( and(t4,not(xor(t3,or(t6,not(t2))))) != xor(t2,or(t6,not(t2)))
| and(t4,or(t3,and(t2,not(t6)))) = xor(t2,or(t6,not(t2))) ),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t3,or(t6,not(t2))))),and(t4,or(t3,and(t2,not(t6))))) )],[refute_0_24645,refute_0_24646]) ).
cnf(refute_0_24648,plain,
and(t4,or(t3,and(t2,not(t6)))) = xor(t2,or(t6,not(t2))),
inference(resolve,[$cnf( $equal(and(t4,not(xor(t3,or(t6,not(t2))))),xor(t2,or(t6,not(t2)))) )],[refute_0_24639,refute_0_24647]) ).
cnf(refute_0_24649,plain,
and(t4,or(X_753,and(X_239,t5))) = or(and(t4,X_753),and(t4,and(X_239,t5))),
inference(subst,[],[or_distributive:[bind(X,$fot(t4)),bind(Y,$fot(X_753)),bind(Z,$fot(and(X_239,t5)))]]) ).
cnf(refute_0_24650,plain,
and(not(t6),X_239) = and(t4,and(t5,X_239)),
inference(subst,[],[refute_0_667:[bind(X_222,$fot(X_239))]]) ).
cnf(refute_0_24651,plain,
and(X_239,t5) = and(t5,X_239),
inference(subst,[],[and_commutative:[bind(X,$fot(X_239)),bind(Y,$fot(t5))]]) ).
cnf(refute_0_24652,plain,
( and(X_239,t5) != and(t5,X_239)
| and(t5,X_239) = and(X_239,t5) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(X_239,t5))),bind(Y0,$fot(and(t5,X_239)))]]) ).
cnf(refute_0_24653,plain,
and(t5,X_239) = and(X_239,t5),
inference(resolve,[$cnf( $equal(and(X_239,t5),and(t5,X_239)) )],[refute_0_24651,refute_0_24652]) ).
cnf(refute_0_24654,plain,
( and(not(t6),X_239) != and(t4,and(t5,X_239))
| and(t5,X_239) != and(X_239,t5)
| and(not(t6),X_239) = and(t4,and(X_239,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t6),X_239),and(t4,and(t5,X_239))) ),[1,1],$fot(and(X_239,t5))]]) ).
cnf(refute_0_24655,plain,
( and(not(t6),X_239) != and(t4,and(t5,X_239))
| and(not(t6),X_239) = and(t4,and(X_239,t5)) ),
inference(resolve,[$cnf( $equal(and(t5,X_239),and(X_239,t5)) )],[refute_0_24653,refute_0_24654]) ).
cnf(refute_0_24656,plain,
and(not(t6),X_239) = and(t4,and(X_239,t5)),
inference(resolve,[$cnf( $equal(and(not(t6),X_239),and(t4,and(t5,X_239))) )],[refute_0_24650,refute_0_24655]) ).
cnf(refute_0_24657,plain,
( and(not(t6),X_239) != and(t4,and(X_239,t5))
| and(t4,and(X_239,t5)) = and(not(t6),X_239) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t6),X_239))),bind(Y0,$fot(and(t4,and(X_239,t5))))]]) ).
cnf(refute_0_24658,plain,
and(t4,and(X_239,t5)) = and(not(t6),X_239),
inference(resolve,[$cnf( $equal(and(not(t6),X_239),and(t4,and(X_239,t5))) )],[refute_0_24656,refute_0_24657]) ).
cnf(refute_0_24659,plain,
( and(t4,and(X_239,t5)) != and(not(t6),X_239)
| and(t4,or(X_753,and(X_239,t5))) != or(and(t4,X_753),and(t4,and(X_239,t5)))
| and(t4,or(X_753,and(X_239,t5))) = or(and(t4,X_753),and(not(t6),X_239)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,or(X_753,and(X_239,t5))),or(and(t4,X_753),and(t4,and(X_239,t5)))) ),[1,1],$fot(and(not(t6),X_239))]]) ).
cnf(refute_0_24660,plain,
( and(t4,or(X_753,and(X_239,t5))) != or(and(t4,X_753),and(t4,and(X_239,t5)))
| and(t4,or(X_753,and(X_239,t5))) = or(and(t4,X_753),and(not(t6),X_239)) ),
inference(resolve,[$cnf( $equal(and(t4,and(X_239,t5)),and(not(t6),X_239)) )],[refute_0_24658,refute_0_24659]) ).
cnf(refute_0_24661,plain,
and(t4,or(X_753,and(X_239,t5))) = or(and(t4,X_753),and(not(t6),X_239)),
inference(resolve,[$cnf( $equal(and(t4,or(X_753,and(X_239,t5))),or(and(t4,X_753),and(t4,and(X_239,t5)))) )],[refute_0_24649,refute_0_24660]) ).
cnf(refute_0_24662,plain,
and(t4,or(X_753,and(t5,X_222))) = or(and(t4,X_753),and(t4,and(t5,X_222))),
inference(subst,[],[or_distributive:[bind(X,$fot(t4)),bind(Y,$fot(X_753)),bind(Z,$fot(and(t5,X_222)))]]) ).
cnf(refute_0_24663,plain,
( and(t4,and(t5,X_222)) != and(not(t6),X_222)
| and(t4,or(X_753,and(t5,X_222))) != or(and(t4,X_753),and(t4,and(t5,X_222)))
| and(t4,or(X_753,and(t5,X_222))) = or(and(t4,X_753),and(not(t6),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,or(X_753,and(t5,X_222))),or(and(t4,X_753),and(t4,and(t5,X_222)))) ),[1,1],$fot(and(not(t6),X_222))]]) ).
cnf(refute_0_24664,plain,
( and(t4,or(X_753,and(t5,X_222))) != or(and(t4,X_753),and(t4,and(t5,X_222)))
| and(t4,or(X_753,and(t5,X_222))) = or(and(t4,X_753),and(not(t6),X_222)) ),
inference(resolve,[$cnf( $equal(and(t4,and(t5,X_222)),and(not(t6),X_222)) )],[refute_0_22331,refute_0_24663]) ).
cnf(refute_0_24665,plain,
and(t4,or(X_753,and(t5,X_222))) = or(and(t4,X_753),and(not(t6),X_222)),
inference(resolve,[$cnf( $equal(and(t4,or(X_753,and(t5,X_222))),or(and(t4,X_753),and(t4,and(t5,X_222)))) )],[refute_0_24662,refute_0_24664]) ).
cnf(refute_0_24666,plain,
and(t4,or(X_753,and(not(t6),X_222))) = or(and(t4,X_753),and(t4,and(not(t6),X_222))),
inference(subst,[],[or_distributive:[bind(X,$fot(t4)),bind(Y,$fot(X_753)),bind(Z,$fot(and(not(t6),X_222)))]]) ).
cnf(refute_0_24667,plain,
( and(not(t6),X_222) != and(t4,and(not(t6),X_222))
| and(t4,and(not(t6),X_222)) = and(not(t6),X_222) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t6),X_222))),bind(Y0,$fot(and(t4,and(not(t6),X_222))))]]) ).
cnf(refute_0_24668,plain,
and(t4,and(not(t6),X_222)) = and(not(t6),X_222),
inference(resolve,[$cnf( $equal(and(not(t6),X_222),and(t4,and(not(t6),X_222))) )],[refute_0_12832,refute_0_24667]) ).
cnf(refute_0_24669,plain,
( and(t4,and(not(t6),X_222)) != and(not(t6),X_222)
| and(t4,or(X_753,and(not(t6),X_222))) != or(and(t4,X_753),and(t4,and(not(t6),X_222)))
| and(t4,or(X_753,and(not(t6),X_222))) = or(and(t4,X_753),and(not(t6),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,or(X_753,and(not(t6),X_222))),or(and(t4,X_753),and(t4,and(not(t6),X_222)))) ),[1,1],$fot(and(not(t6),X_222))]]) ).
cnf(refute_0_24670,plain,
( and(t4,or(X_753,and(not(t6),X_222))) != or(and(t4,X_753),and(t4,and(not(t6),X_222)))
| and(t4,or(X_753,and(not(t6),X_222))) = or(and(t4,X_753),and(not(t6),X_222)) ),
inference(resolve,[$cnf( $equal(and(t4,and(not(t6),X_222)),and(not(t6),X_222)) )],[refute_0_24668,refute_0_24669]) ).
cnf(refute_0_24671,plain,
and(t4,or(X_753,and(not(t6),X_222))) = or(and(t4,X_753),and(not(t6),X_222)),
inference(resolve,[$cnf( $equal(and(t4,or(X_753,and(not(t6),X_222))),or(and(t4,X_753),and(t4,and(not(t6),X_222)))) )],[refute_0_24666,refute_0_24670]) ).
cnf(refute_0_24672,plain,
( and(t4,or(X_753,and(not(t6),X_222))) != or(and(t4,X_753),and(not(t6),X_222))
| or(and(t4,X_753),and(not(t6),X_222)) = and(t4,or(X_753,and(not(t6),X_222))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t4,or(X_753,and(not(t6),X_222))))),bind(Y0,$fot(or(and(t4,X_753),and(not(t6),X_222))))]]) ).
cnf(refute_0_24673,plain,
or(and(t4,X_753),and(not(t6),X_222)) = and(t4,or(X_753,and(not(t6),X_222))),
inference(resolve,[$cnf( $equal(and(t4,or(X_753,and(not(t6),X_222))),or(and(t4,X_753),and(not(t6),X_222))) )],[refute_0_24671,refute_0_24672]) ).
cnf(refute_0_24674,plain,
( and(t4,or(X_753,and(t5,X_222))) != or(and(t4,X_753),and(not(t6),X_222))
| or(and(t4,X_753),and(not(t6),X_222)) != and(t4,or(X_753,and(not(t6),X_222)))
| and(t4,or(X_753,and(t5,X_222))) = and(t4,or(X_753,and(not(t6),X_222))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t4,or(X_753,and(t5,X_222))),and(t4,or(X_753,and(not(t6),X_222)))) ),[0],$fot(or(and(t4,X_753),and(not(t6),X_222)))]]) ).
cnf(refute_0_24675,plain,
( and(t4,or(X_753,and(t5,X_222))) != or(and(t4,X_753),and(not(t6),X_222))
| and(t4,or(X_753,and(t5,X_222))) = and(t4,or(X_753,and(not(t6),X_222))) ),
inference(resolve,[$cnf( $equal(or(and(t4,X_753),and(not(t6),X_222)),and(t4,or(X_753,and(not(t6),X_222)))) )],[refute_0_24673,refute_0_24674]) ).
cnf(refute_0_24676,plain,
and(t4,or(X_753,and(t5,X_222))) = and(t4,or(X_753,and(not(t6),X_222))),
inference(resolve,[$cnf( $equal(and(t4,or(X_753,and(t5,X_222))),or(and(t4,X_753),and(not(t6),X_222))) )],[refute_0_24665,refute_0_24675]) ).
cnf(refute_0_24677,plain,
( and(t4,or(X_753,and(t5,X_222))) != and(t4,or(X_753,and(not(t6),X_222)))
| and(t4,or(X_753,and(not(t6),X_222))) = and(t4,or(X_753,and(t5,X_222))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t4,or(X_753,and(t5,X_222))))),bind(Y0,$fot(and(t4,or(X_753,and(not(t6),X_222)))))]]) ).
cnf(refute_0_24678,plain,
and(t4,or(X_753,and(not(t6),X_222))) = and(t4,or(X_753,and(t5,X_222))),
inference(resolve,[$cnf( $equal(and(t4,or(X_753,and(t5,X_222))),and(t4,or(X_753,and(not(t6),X_222)))) )],[refute_0_24676,refute_0_24677]) ).
cnf(refute_0_24679,plain,
and(t4,or(X_753,and(not(t6),X_239))) = and(t4,or(X_753,and(t5,X_239))),
inference(subst,[],[refute_0_24678:[bind(X_222,$fot(X_239))]]) ).
cnf(refute_0_24680,plain,
or(and(t4,X_753),and(not(t6),X_239)) = and(t4,or(X_753,and(not(t6),X_239))),
inference(subst,[],[refute_0_24673:[bind(X_222,$fot(X_239))]]) ).
cnf(refute_0_24681,plain,
( and(t4,or(X_753,and(not(t6),X_239))) != and(t4,or(X_753,and(t5,X_239)))
| or(and(t4,X_753),and(not(t6),X_239)) != and(t4,or(X_753,and(not(t6),X_239)))
| or(and(t4,X_753),and(not(t6),X_239)) = and(t4,or(X_753,and(t5,X_239))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(t4,X_753),and(not(t6),X_239)))),bind(Y0,$fot(and(t4,or(X_753,and(not(t6),X_239))))),bind(Z0,$fot(and(t4,or(X_753,and(t5,X_239)))))]]) ).
cnf(refute_0_24682,plain,
( and(t4,or(X_753,and(not(t6),X_239))) != and(t4,or(X_753,and(t5,X_239)))
| or(and(t4,X_753),and(not(t6),X_239)) = and(t4,or(X_753,and(t5,X_239))) ),
inference(resolve,[$cnf( $equal(or(and(t4,X_753),and(not(t6),X_239)),and(t4,or(X_753,and(not(t6),X_239)))) )],[refute_0_24680,refute_0_24681]) ).
cnf(refute_0_24683,plain,
or(and(t4,X_753),and(not(t6),X_239)) = and(t4,or(X_753,and(t5,X_239))),
inference(resolve,[$cnf( $equal(and(t4,or(X_753,and(not(t6),X_239))),and(t4,or(X_753,and(t5,X_239)))) )],[refute_0_24679,refute_0_24682]) ).
cnf(refute_0_24684,plain,
( and(t4,or(X_753,and(X_239,t5))) != or(and(t4,X_753),and(not(t6),X_239))
| or(and(t4,X_753),and(not(t6),X_239)) != and(t4,or(X_753,and(t5,X_239)))
| and(t4,or(X_753,and(X_239,t5))) = and(t4,or(X_753,and(t5,X_239))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t4,or(X_753,and(X_239,t5))),and(t4,or(X_753,and(t5,X_239)))) ),[0],$fot(or(and(t4,X_753),and(not(t6),X_239)))]]) ).
cnf(refute_0_24685,plain,
( and(t4,or(X_753,and(X_239,t5))) != or(and(t4,X_753),and(not(t6),X_239))
| and(t4,or(X_753,and(X_239,t5))) = and(t4,or(X_753,and(t5,X_239))) ),
inference(resolve,[$cnf( $equal(or(and(t4,X_753),and(not(t6),X_239)),and(t4,or(X_753,and(t5,X_239)))) )],[refute_0_24683,refute_0_24684]) ).
cnf(refute_0_24686,plain,
and(t4,or(X_753,and(X_239,t5))) = and(t4,or(X_753,and(t5,X_239))),
inference(resolve,[$cnf( $equal(and(t4,or(X_753,and(X_239,t5))),or(and(t4,X_753),and(not(t6),X_239))) )],[refute_0_24661,refute_0_24685]) ).
cnf(refute_0_24687,plain,
( and(t4,or(X_753,and(X_239,t5))) != and(t4,or(X_753,and(t5,X_239)))
| and(t4,or(X_753,and(t5,X_239))) = and(t4,or(X_753,and(X_239,t5))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t4,or(X_753,and(X_239,t5))))),bind(Y0,$fot(and(t4,or(X_753,and(t5,X_239)))))]]) ).
cnf(refute_0_24688,plain,
and(t4,or(X_753,and(t5,X_239))) = and(t4,or(X_753,and(X_239,t5))),
inference(resolve,[$cnf( $equal(and(t4,or(X_753,and(X_239,t5))),and(t4,or(X_753,and(t5,X_239)))) )],[refute_0_24686,refute_0_24687]) ).
cnf(refute_0_24689,plain,
and(t4,or(t3,and(t5,t2))) = and(t4,or(t3,and(t2,t5))),
inference(subst,[],[refute_0_24688:[bind(X_239,$fot(t2)),bind(X_753,$fot(t3))]]) ).
cnf(refute_0_24690,plain,
and(t4,or(X_753,and(X_300,not(t6)))) = or(and(t4,X_753),and(t4,and(X_300,not(t6)))),
inference(subst,[],[or_distributive:[bind(X,$fot(t4)),bind(Y,$fot(X_753)),bind(Z,$fot(and(X_300,not(t6))))]]) ).
cnf(refute_0_24691,plain,
( and(not(t6),X_300) != and(t4,and(X_300,not(t6)))
| and(t4,and(X_300,not(t6))) = and(not(t6),X_300) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t6),X_300))),bind(Y0,$fot(and(t4,and(X_300,not(t6)))))]]) ).
cnf(refute_0_24692,plain,
and(t4,and(X_300,not(t6))) = and(not(t6),X_300),
inference(resolve,[$cnf( $equal(and(not(t6),X_300),and(t4,and(X_300,not(t6)))) )],[refute_0_22875,refute_0_24691]) ).
cnf(refute_0_24693,plain,
( and(t4,and(X_300,not(t6))) != and(not(t6),X_300)
| and(t4,or(X_753,and(X_300,not(t6)))) != or(and(t4,X_753),and(t4,and(X_300,not(t6))))
| and(t4,or(X_753,and(X_300,not(t6)))) = or(and(t4,X_753),and(not(t6),X_300)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,or(X_753,and(X_300,not(t6)))),or(and(t4,X_753),and(t4,and(X_300,not(t6))))) ),[1,1],$fot(and(not(t6),X_300))]]) ).
cnf(refute_0_24694,plain,
( and(t4,or(X_753,and(X_300,not(t6)))) != or(and(t4,X_753),and(t4,and(X_300,not(t6))))
| and(t4,or(X_753,and(X_300,not(t6)))) = or(and(t4,X_753),and(not(t6),X_300)) ),
inference(resolve,[$cnf( $equal(and(t4,and(X_300,not(t6))),and(not(t6),X_300)) )],[refute_0_24692,refute_0_24693]) ).
cnf(refute_0_24695,plain,
and(t4,or(X_753,and(X_300,not(t6)))) = or(and(t4,X_753),and(not(t6),X_300)),
inference(resolve,[$cnf( $equal(and(t4,or(X_753,and(X_300,not(t6)))),or(and(t4,X_753),and(t4,and(X_300,not(t6))))) )],[refute_0_24690,refute_0_24694]) ).
cnf(refute_0_24696,plain,
and(t4,or(X_753,and(not(t6),X_300))) = and(t4,or(X_753,and(t5,X_300))),
inference(subst,[],[refute_0_24678:[bind(X_222,$fot(X_300))]]) ).
cnf(refute_0_24697,plain,
or(and(t4,X_753),and(not(t6),X_300)) = and(t4,or(X_753,and(not(t6),X_300))),
inference(subst,[],[refute_0_24673:[bind(X_222,$fot(X_300))]]) ).
cnf(refute_0_24698,plain,
( and(t4,or(X_753,and(not(t6),X_300))) != and(t4,or(X_753,and(t5,X_300)))
| or(and(t4,X_753),and(not(t6),X_300)) != and(t4,or(X_753,and(not(t6),X_300)))
| or(and(t4,X_753),and(not(t6),X_300)) = and(t4,or(X_753,and(t5,X_300))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(t4,X_753),and(not(t6),X_300)))),bind(Y0,$fot(and(t4,or(X_753,and(not(t6),X_300))))),bind(Z0,$fot(and(t4,or(X_753,and(t5,X_300)))))]]) ).
cnf(refute_0_24699,plain,
( and(t4,or(X_753,and(not(t6),X_300))) != and(t4,or(X_753,and(t5,X_300)))
| or(and(t4,X_753),and(not(t6),X_300)) = and(t4,or(X_753,and(t5,X_300))) ),
inference(resolve,[$cnf( $equal(or(and(t4,X_753),and(not(t6),X_300)),and(t4,or(X_753,and(not(t6),X_300)))) )],[refute_0_24697,refute_0_24698]) ).
cnf(refute_0_24700,plain,
or(and(t4,X_753),and(not(t6),X_300)) = and(t4,or(X_753,and(t5,X_300))),
inference(resolve,[$cnf( $equal(and(t4,or(X_753,and(not(t6),X_300))),and(t4,or(X_753,and(t5,X_300)))) )],[refute_0_24696,refute_0_24699]) ).
cnf(refute_0_24701,plain,
( and(t4,or(X_753,and(X_300,not(t6)))) != or(and(t4,X_753),and(not(t6),X_300))
| or(and(t4,X_753),and(not(t6),X_300)) != and(t4,or(X_753,and(t5,X_300)))
| and(t4,or(X_753,and(X_300,not(t6)))) = and(t4,or(X_753,and(t5,X_300))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t4,or(X_753,and(X_300,not(t6)))),and(t4,or(X_753,and(t5,X_300)))) ),[0],$fot(or(and(t4,X_753),and(not(t6),X_300)))]]) ).
cnf(refute_0_24702,plain,
( and(t4,or(X_753,and(X_300,not(t6)))) != or(and(t4,X_753),and(not(t6),X_300))
| and(t4,or(X_753,and(X_300,not(t6)))) = and(t4,or(X_753,and(t5,X_300))) ),
inference(resolve,[$cnf( $equal(or(and(t4,X_753),and(not(t6),X_300)),and(t4,or(X_753,and(t5,X_300)))) )],[refute_0_24700,refute_0_24701]) ).
cnf(refute_0_24703,plain,
and(t4,or(X_753,and(X_300,not(t6)))) = and(t4,or(X_753,and(t5,X_300))),
inference(resolve,[$cnf( $equal(and(t4,or(X_753,and(X_300,not(t6)))),or(and(t4,X_753),and(not(t6),X_300))) )],[refute_0_24695,refute_0_24702]) ).
cnf(refute_0_24704,plain,
and(t4,or(t3,and(t2,not(t6)))) = and(t4,or(t3,and(t5,t2))),
inference(subst,[],[refute_0_24703:[bind(X_300,$fot(t2)),bind(X_753,$fot(t3))]]) ).
cnf(refute_0_24705,plain,
( and(t4,or(t3,and(t2,not(t6)))) != and(t4,or(t3,and(t5,t2)))
| and(t4,or(t3,and(t5,t2))) != and(t4,or(t3,and(t2,t5)))
| and(t4,or(t3,and(t2,not(t6)))) = and(t4,or(t3,and(t2,t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t4,or(t3,and(t2,not(t6)))))),bind(Y0,$fot(and(t4,or(t3,and(t5,t2))))),bind(Z0,$fot(and(t4,or(t3,and(t2,t5)))))]]) ).
cnf(refute_0_24706,plain,
( and(t4,or(t3,and(t5,t2))) != and(t4,or(t3,and(t2,t5)))
| and(t4,or(t3,and(t2,not(t6)))) = and(t4,or(t3,and(t2,t5))) ),
inference(resolve,[$cnf( $equal(and(t4,or(t3,and(t2,not(t6)))),and(t4,or(t3,and(t5,t2)))) )],[refute_0_24704,refute_0_24705]) ).
cnf(refute_0_24707,plain,
and(t4,or(t3,and(t2,not(t6)))) = and(t4,or(t3,and(t2,t5))),
inference(resolve,[$cnf( $equal(and(t4,or(t3,and(t5,t2))),and(t4,or(t3,and(t2,t5)))) )],[refute_0_24689,refute_0_24706]) ).
cnf(refute_0_24708,plain,
( and(t4,or(t3,and(t2,not(t6)))) != and(t4,or(t3,and(t2,t5)))
| and(t4,or(t3,and(t2,not(t6)))) != xor(t2,or(t6,not(t2)))
| and(t4,or(t3,and(t2,t5))) = xor(t2,or(t6,not(t2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,or(t3,and(t2,not(t6)))),xor(t2,or(t6,not(t2)))) ),[0],$fot(and(t4,or(t3,and(t2,t5))))]]) ).
cnf(refute_0_24709,plain,
( and(t4,or(t3,and(t2,not(t6)))) != xor(t2,or(t6,not(t2)))
| and(t4,or(t3,and(t2,t5))) = xor(t2,or(t6,not(t2))) ),
inference(resolve,[$cnf( $equal(and(t4,or(t3,and(t2,not(t6)))),and(t4,or(t3,and(t2,t5)))) )],[refute_0_24707,refute_0_24708]) ).
cnf(refute_0_24710,plain,
and(t4,or(t3,and(t2,t5))) = xor(t2,or(t6,not(t2))),
inference(resolve,[$cnf( $equal(and(t4,or(t3,and(t2,not(t6)))),xor(t2,or(t6,not(t2)))) )],[refute_0_24648,refute_0_24709]) ).
cnf(refute_0_24711,plain,
( and(t4,or(t3,and(t2,t5))) != xor(t2,or(t6,not(t2)))
| xor(t2,or(t6,not(t2))) != not(and(t2,t6))
| and(t4,or(t3,and(t2,t5))) = not(and(t2,t6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t4,or(t3,and(t2,t5))),not(and(t2,t6))) ),[0],$fot(xor(t2,or(t6,not(t2))))]]) ).
cnf(refute_0_24712,plain,
( and(t4,or(t3,and(t2,t5))) != xor(t2,or(t6,not(t2)))
| and(t4,or(t3,and(t2,t5))) = not(and(t2,t6)) ),
inference(resolve,[$cnf( $equal(xor(t2,or(t6,not(t2))),not(and(t2,t6))) )],[refute_0_23064,refute_0_24711]) ).
cnf(refute_0_24713,plain,
and(t4,or(t3,and(t2,t5))) = not(and(t2,t6)),
inference(resolve,[$cnf( $equal(and(t4,or(t3,and(t2,t5))),xor(t2,or(t6,not(t2)))) )],[refute_0_24710,refute_0_24712]) ).
cnf(refute_0_24714,plain,
not(not(or(t3,xor(t4,or(a,t6))))) = or(t3,xor(t4,or(a,t6))),
inference(subst,[],[not_involution:[bind(X,$fot(or(t3,xor(t4,or(a,t6)))))]]) ).
cnf(refute_0_24715,plain,
and(and(t4,not(t3)),X_222) = and(t4,and(not(t3),X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(t4)),bind(Y,$fot(not(t3))),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_24716,plain,
( and(and(t4,not(t3)),X_222) != and(t4,and(not(t3),X_222))
| and(t4,not(t3)) != not(t3)
| and(not(t3),X_222) = and(t4,and(not(t3),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(t4,not(t3)),X_222),and(t4,and(not(t3),X_222))) ),[0,0],$fot(not(t3))]]) ).
cnf(refute_0_24717,plain,
( and(and(t4,not(t3)),X_222) != and(t4,and(not(t3),X_222))
| and(not(t3),X_222) = and(t4,and(not(t3),X_222)) ),
inference(resolve,[$cnf( $equal(and(t4,not(t3)),not(t3)) )],[refute_0_14193,refute_0_24716]) ).
cnf(refute_0_24718,plain,
and(not(t3),X_222) = and(t4,and(not(t3),X_222)),
inference(resolve,[$cnf( $equal(and(and(t4,not(t3)),X_222),and(t4,and(not(t3),X_222))) )],[refute_0_24715,refute_0_24717]) ).
cnf(refute_0_24719,plain,
and(not(t3),or(a,t6)) = and(t4,and(not(t3),or(a,t6))),
inference(subst,[],[refute_0_24718:[bind(X_222,$fot(or(a,t6)))]]) ).
cnf(refute_0_24720,plain,
( and(not(t3),or(a,t6)) != and(t4,and(not(t3),or(a,t6)))
| and(not(t3),or(a,t6)) != xor(t3,or(a,t6))
| xor(t3,or(a,t6)) = and(t4,and(not(t3),or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t3),or(a,t6)),and(t4,and(not(t3),or(a,t6)))) ),[0],$fot(xor(t3,or(a,t6)))]]) ).
cnf(refute_0_24721,plain,
( and(not(t3),or(a,t6)) != and(t4,and(not(t3),or(a,t6)))
| xor(t3,or(a,t6)) = and(t4,and(not(t3),or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(not(t3),or(a,t6)),xor(t3,or(a,t6))) )],[refute_0_21041,refute_0_24720]) ).
cnf(refute_0_24722,plain,
xor(t3,or(a,t6)) = and(t4,and(not(t3),or(a,t6))),
inference(resolve,[$cnf( $equal(and(not(t3),or(a,t6)),and(t4,and(not(t3),or(a,t6)))) )],[refute_0_24719,refute_0_24721]) ).
cnf(refute_0_24723,plain,
not(or(X_25,not(and(t4,or(a,t6))))) = and(not(X_25),and(t4,or(a,t6))),
inference(subst,[],[refute_0_801:[bind(X,$fot(and(t4,or(a,t6))))]]) ).
cnf(refute_0_24724,plain,
( not(and(t4,or(a,t6))) != xor(t4,or(a,t6))
| not(or(X_25,not(and(t4,or(a,t6))))) != and(not(X_25),and(t4,or(a,t6)))
| not(or(X_25,xor(t4,or(a,t6)))) = and(not(X_25),and(t4,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X_25,not(and(t4,or(a,t6))))),and(not(X_25),and(t4,or(a,t6)))) ),[0,0,1],$fot(xor(t4,or(a,t6)))]]) ).
cnf(refute_0_24725,plain,
( not(or(X_25,not(and(t4,or(a,t6))))) != and(not(X_25),and(t4,or(a,t6)))
| not(or(X_25,xor(t4,or(a,t6)))) = and(not(X_25),and(t4,or(a,t6))) ),
inference(resolve,[$cnf( $equal(not(and(t4,or(a,t6))),xor(t4,or(a,t6))) )],[refute_0_14057,refute_0_24724]) ).
cnf(refute_0_24726,plain,
not(or(X_25,xor(t4,or(a,t6)))) = and(not(X_25),and(t4,or(a,t6))),
inference(resolve,[$cnf( $equal(not(or(X_25,not(and(t4,or(a,t6))))),and(not(X_25),and(t4,or(a,t6)))) )],[refute_0_24723,refute_0_24725]) ).
cnf(refute_0_24727,plain,
and(not(X_25),and(t4,or(a,t6))) = and(t4,and(not(X_25),or(a,t6))),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(X_25))),bind(X_221,$fot(t4)),bind(X_222,$fot(or(a,t6)))]]) ).
cnf(refute_0_24728,plain,
( and(not(X_25),and(t4,or(a,t6))) != and(t4,and(not(X_25),or(a,t6)))
| not(or(X_25,xor(t4,or(a,t6)))) != and(not(X_25),and(t4,or(a,t6)))
| not(or(X_25,xor(t4,or(a,t6)))) = and(t4,and(not(X_25),or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X_25,xor(t4,or(a,t6)))),and(not(X_25),and(t4,or(a,t6)))) ),[1],$fot(and(t4,and(not(X_25),or(a,t6))))]]) ).
cnf(refute_0_24729,plain,
( not(or(X_25,xor(t4,or(a,t6)))) != and(not(X_25),and(t4,or(a,t6)))
| not(or(X_25,xor(t4,or(a,t6)))) = and(t4,and(not(X_25),or(a,t6))) ),
inference(resolve,[$cnf( $equal(and(not(X_25),and(t4,or(a,t6))),and(t4,and(not(X_25),or(a,t6)))) )],[refute_0_24727,refute_0_24728]) ).
cnf(refute_0_24730,plain,
not(or(X_25,xor(t4,or(a,t6)))) = and(t4,and(not(X_25),or(a,t6))),
inference(resolve,[$cnf( $equal(not(or(X_25,xor(t4,or(a,t6)))),and(not(X_25),and(t4,or(a,t6)))) )],[refute_0_24726,refute_0_24729]) ).
cnf(refute_0_24731,plain,
( not(or(X_25,xor(t4,or(a,t6)))) != and(t4,and(not(X_25),or(a,t6)))
| and(t4,and(not(X_25),or(a,t6))) = not(or(X_25,xor(t4,or(a,t6)))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X_25,xor(t4,or(a,t6)))))),bind(Y0,$fot(and(t4,and(not(X_25),or(a,t6)))))]]) ).
cnf(refute_0_24732,plain,
and(t4,and(not(X_25),or(a,t6))) = not(or(X_25,xor(t4,or(a,t6)))),
inference(resolve,[$cnf( $equal(not(or(X_25,xor(t4,or(a,t6)))),and(t4,and(not(X_25),or(a,t6)))) )],[refute_0_24730,refute_0_24731]) ).
cnf(refute_0_24733,plain,
and(t4,and(not(t3),or(a,t6))) = not(or(t3,xor(t4,or(a,t6)))),
inference(subst,[],[refute_0_24732:[bind(X_25,$fot(t3))]]) ).
cnf(refute_0_24734,plain,
( and(t4,and(not(t3),or(a,t6))) != not(or(t3,xor(t4,or(a,t6))))
| xor(t3,or(a,t6)) != and(t4,and(not(t3),or(a,t6)))
| xor(t3,or(a,t6)) = not(or(t3,xor(t4,or(a,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t3,or(a,t6)),and(t4,and(not(t3),or(a,t6)))) ),[1],$fot(not(or(t3,xor(t4,or(a,t6)))))]]) ).
cnf(refute_0_24735,plain,
( xor(t3,or(a,t6)) != and(t4,and(not(t3),or(a,t6)))
| xor(t3,or(a,t6)) = not(or(t3,xor(t4,or(a,t6)))) ),
inference(resolve,[$cnf( $equal(and(t4,and(not(t3),or(a,t6))),not(or(t3,xor(t4,or(a,t6))))) )],[refute_0_24733,refute_0_24734]) ).
cnf(refute_0_24736,plain,
xor(t3,or(a,t6)) = not(or(t3,xor(t4,or(a,t6)))),
inference(resolve,[$cnf( $equal(xor(t3,or(a,t6)),and(t4,and(not(t3),or(a,t6)))) )],[refute_0_24722,refute_0_24735]) ).
cnf(refute_0_24737,plain,
( xor(t3,or(a,t6)) != not(or(t3,xor(t4,or(a,t6))))
| not(or(t3,xor(t4,or(a,t6)))) = xor(t3,or(a,t6)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t3,or(a,t6)))),bind(Y0,$fot(not(or(t3,xor(t4,or(a,t6))))))]]) ).
cnf(refute_0_24738,plain,
not(or(t3,xor(t4,or(a,t6)))) = xor(t3,or(a,t6)),
inference(resolve,[$cnf( $equal(xor(t3,or(a,t6)),not(or(t3,xor(t4,or(a,t6))))) )],[refute_0_24736,refute_0_24737]) ).
cnf(refute_0_24739,plain,
( not(not(or(t3,xor(t4,or(a,t6))))) != or(t3,xor(t4,or(a,t6)))
| not(or(t3,xor(t4,or(a,t6)))) != xor(t3,or(a,t6))
| not(xor(t3,or(a,t6))) = or(t3,xor(t4,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(or(t3,xor(t4,or(a,t6))))),or(t3,xor(t4,or(a,t6)))) ),[0,0],$fot(xor(t3,or(a,t6)))]]) ).
cnf(refute_0_24740,plain,
( not(not(or(t3,xor(t4,or(a,t6))))) != or(t3,xor(t4,or(a,t6)))
| not(xor(t3,or(a,t6))) = or(t3,xor(t4,or(a,t6))) ),
inference(resolve,[$cnf( $equal(not(or(t3,xor(t4,or(a,t6)))),xor(t3,or(a,t6))) )],[refute_0_24738,refute_0_24739]) ).
cnf(refute_0_24741,plain,
not(xor(t3,or(a,t6))) = or(t3,xor(t4,or(a,t6))),
inference(resolve,[$cnf( $equal(not(not(or(t3,xor(t4,or(a,t6))))),or(t3,xor(t4,or(a,t6)))) )],[refute_0_24714,refute_0_24740]) ).
cnf(refute_0_24742,plain,
( not(xor(t3,or(a,t6))) != or(a,t5)
| not(xor(t3,or(a,t6))) != or(t3,xor(t4,or(a,t6)))
| or(a,t5) = or(t3,xor(t4,or(a,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t3,or(a,t6))),or(t3,xor(t4,or(a,t6)))) ),[0],$fot(or(a,t5))]]) ).
cnf(refute_0_24743,plain,
( not(xor(t3,or(a,t6))) != or(t3,xor(t4,or(a,t6)))
| or(a,t5) = or(t3,xor(t4,or(a,t6))) ),
inference(resolve,[$cnf( $equal(not(xor(t3,or(a,t6))),or(a,t5)) )],[refute_0_22080,refute_0_24742]) ).
cnf(refute_0_24744,plain,
( and(t2,or(a,t5)) != and(t2,t5)
| and(t2,or(a,t5)) != xor(t4,or(a,t6))
| and(t2,t5) = xor(t4,or(a,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,or(a,t5)),xor(t4,or(a,t6))) ),[0],$fot(and(t2,t5))]]) ).
cnf(refute_0_24745,plain,
( and(t2,or(a,t5)) != xor(t4,or(a,t6))
| and(t2,t5) = xor(t4,or(a,t6)) ),
inference(resolve,[$cnf( $equal(and(t2,or(a,t5)),and(t2,t5)) )],[refute_0_23589,refute_0_24744]) ).
cnf(refute_0_24746,plain,
and(t2,t5) = xor(t4,or(a,t6)),
inference(resolve,[$cnf( $equal(and(t2,or(a,t5)),xor(t4,or(a,t6))) )],[refute_0_23474,refute_0_24745]) ).
cnf(refute_0_24747,plain,
( and(t2,t5) != xor(t4,or(a,t6))
| xor(t4,or(a,t6)) = and(t2,t5) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t2,t5))),bind(Y0,$fot(xor(t4,or(a,t6))))]]) ).
cnf(refute_0_24748,plain,
xor(t4,or(a,t6)) = and(t2,t5),
inference(resolve,[$cnf( $equal(and(t2,t5),xor(t4,or(a,t6))) )],[refute_0_24746,refute_0_24747]) ).
cnf(refute_0_24749,plain,
or(t3,xor(t4,or(a,t6))) = or(t3,xor(t4,or(a,t6))),
introduced(tautology,[refl,[$fot(or(t3,xor(t4,or(a,t6))))]]) ).
cnf(refute_0_24750,plain,
( or(t3,xor(t4,or(a,t6))) != or(t3,xor(t4,or(a,t6)))
| xor(t4,or(a,t6)) != and(t2,t5)
| or(t3,xor(t4,or(a,t6))) = or(t3,and(t2,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,xor(t4,or(a,t6))),or(t3,xor(t4,or(a,t6)))) ),[1,1],$fot(and(t2,t5))]]) ).
cnf(refute_0_24751,plain,
( xor(t4,or(a,t6)) != and(t2,t5)
| or(t3,xor(t4,or(a,t6))) = or(t3,and(t2,t5)) ),
inference(resolve,[$cnf( $equal(or(t3,xor(t4,or(a,t6))),or(t3,xor(t4,or(a,t6)))) )],[refute_0_24749,refute_0_24750]) ).
cnf(refute_0_24752,plain,
or(t3,xor(t4,or(a,t6))) = or(t3,and(t2,t5)),
inference(resolve,[$cnf( $equal(xor(t4,or(a,t6)),and(t2,t5)) )],[refute_0_24748,refute_0_24751]) ).
cnf(refute_0_24753,plain,
( or(a,t5) != or(t3,xor(t4,or(a,t6)))
| or(t3,xor(t4,or(a,t6))) != or(t3,and(t2,t5))
| or(a,t5) = or(t3,and(t2,t5)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(a,t5),or(t3,and(t2,t5))) ),[0],$fot(or(t3,xor(t4,or(a,t6))))]]) ).
cnf(refute_0_24754,plain,
( or(a,t5) != or(t3,xor(t4,or(a,t6)))
| or(a,t5) = or(t3,and(t2,t5)) ),
inference(resolve,[$cnf( $equal(or(t3,xor(t4,or(a,t6))),or(t3,and(t2,t5))) )],[refute_0_24752,refute_0_24753]) ).
cnf(refute_0_24755,plain,
( not(xor(t3,or(a,t6))) != or(t3,xor(t4,or(a,t6)))
| or(a,t5) = or(t3,and(t2,t5)) ),
inference(resolve,[$cnf( $equal(or(a,t5),or(t3,xor(t4,or(a,t6)))) )],[refute_0_24743,refute_0_24754]) ).
cnf(refute_0_24756,plain,
or(a,t5) = or(t3,and(t2,t5)),
inference(resolve,[$cnf( $equal(not(xor(t3,or(a,t6))),or(t3,xor(t4,or(a,t6)))) )],[refute_0_24741,refute_0_24755]) ).
cnf(refute_0_24757,plain,
( or(a,t5) != or(t3,and(t2,t5))
| or(t3,and(t2,t5)) = or(a,t5) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(a,t5))),bind(Y0,$fot(or(t3,and(t2,t5))))]]) ).
cnf(refute_0_24758,plain,
or(t3,and(t2,t5)) = or(a,t5),
inference(resolve,[$cnf( $equal(or(a,t5),or(t3,and(t2,t5))) )],[refute_0_24756,refute_0_24757]) ).
cnf(refute_0_24759,plain,
and(t4,or(t3,and(t2,t5))) = and(t4,or(t3,and(t2,t5))),
introduced(tautology,[refl,[$fot(and(t4,or(t3,and(t2,t5))))]]) ).
cnf(refute_0_24760,plain,
( and(t4,or(t3,and(t2,t5))) != and(t4,or(t3,and(t2,t5)))
| or(t3,and(t2,t5)) != or(a,t5)
| and(t4,or(t3,and(t2,t5))) = and(t4,or(a,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,or(t3,and(t2,t5))),and(t4,or(t3,and(t2,t5)))) ),[1,1],$fot(or(a,t5))]]) ).
cnf(refute_0_24761,plain,
( or(t3,and(t2,t5)) != or(a,t5)
| and(t4,or(t3,and(t2,t5))) = and(t4,or(a,t5)) ),
inference(resolve,[$cnf( $equal(and(t4,or(t3,and(t2,t5))),and(t4,or(t3,and(t2,t5)))) )],[refute_0_24759,refute_0_24760]) ).
cnf(refute_0_24762,plain,
and(t4,or(t3,and(t2,t5))) = and(t4,or(a,t5)),
inference(resolve,[$cnf( $equal(or(t3,and(t2,t5)),or(a,t5)) )],[refute_0_24758,refute_0_24761]) ).
cnf(refute_0_24763,plain,
( and(t4,or(t3,and(t2,t5))) != and(t4,or(a,t5))
| and(t4,or(t3,and(t2,t5))) != not(and(t2,t6))
| and(t4,or(a,t5)) = not(and(t2,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t4,or(t3,and(t2,t5))),not(and(t2,t6))) ),[0],$fot(and(t4,or(a,t5)))]]) ).
cnf(refute_0_24764,plain,
( and(t4,or(t3,and(t2,t5))) != not(and(t2,t6))
| and(t4,or(a,t5)) = not(and(t2,t6)) ),
inference(resolve,[$cnf( $equal(and(t4,or(t3,and(t2,t5))),and(t4,or(a,t5))) )],[refute_0_24762,refute_0_24763]) ).
cnf(refute_0_24765,plain,
and(t4,or(a,t5)) = not(and(t2,t6)),
inference(resolve,[$cnf( $equal(and(t4,or(t3,and(t2,t5))),not(and(t2,t6))) )],[refute_0_24713,refute_0_24764]) ).
cnf(refute_0_24766,plain,
not(and(t4,or(a,t5))) = not(and(t4,or(a,t5))),
introduced(tautology,[refl,[$fot(not(and(t4,or(a,t5))))]]) ).
cnf(refute_0_24767,plain,
( and(t4,or(a,t5)) != not(and(t2,t6))
| not(and(t4,or(a,t5))) != not(and(t4,or(a,t5)))
| not(and(t4,or(a,t5))) = not(not(and(t2,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(t4,or(a,t5))),not(and(t4,or(a,t5)))) ),[1,0],$fot(not(and(t2,t6)))]]) ).
cnf(refute_0_24768,plain,
( and(t4,or(a,t5)) != not(and(t2,t6))
| not(and(t4,or(a,t5))) = not(not(and(t2,t6))) ),
inference(resolve,[$cnf( $equal(not(and(t4,or(a,t5))),not(and(t4,or(a,t5)))) )],[refute_0_24766,refute_0_24767]) ).
cnf(refute_0_24769,plain,
not(and(t4,or(a,t5))) = not(not(and(t2,t6))),
inference(resolve,[$cnf( $equal(and(t4,or(a,t5)),not(and(t2,t6))) )],[refute_0_24765,refute_0_24768]) ).
cnf(refute_0_24770,plain,
( not(and(t4,or(a,t5))) != not(not(and(t2,t6)))
| not(not(and(t2,t6))) != and(t2,t6)
| not(and(t4,or(a,t5))) = and(t2,t6) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(t4,or(a,t5))))),bind(Y0,$fot(not(not(and(t2,t6))))),bind(Z0,$fot(and(t2,t6)))]]) ).
cnf(refute_0_24771,plain,
( not(not(and(t2,t6))) != and(t2,t6)
| not(and(t4,or(a,t5))) = and(t2,t6) ),
inference(resolve,[$cnf( $equal(not(and(t4,or(a,t5))),not(not(and(t2,t6)))) )],[refute_0_24769,refute_0_24770]) ).
cnf(refute_0_24772,plain,
not(and(t4,or(a,t5))) = and(t2,t6),
inference(resolve,[$cnf( $equal(not(not(and(t2,t6))),and(t2,t6)) )],[refute_0_23071,refute_0_24771]) ).
cnf(refute_0_24773,plain,
and(t7,not(and(t4,or(a,t5)))) = and(t7,not(and(t4,or(a,t5)))),
introduced(tautology,[refl,[$fot(and(t7,not(and(t4,or(a,t5)))))]]) ).
cnf(refute_0_24774,plain,
( and(t7,not(and(t4,or(a,t5)))) != and(t7,not(and(t4,or(a,t5))))
| not(and(t4,or(a,t5))) != and(t2,t6)
| and(t7,not(and(t4,or(a,t5)))) = and(t7,and(t2,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t7,not(and(t4,or(a,t5)))),and(t7,not(and(t4,or(a,t5))))) ),[1,1],$fot(and(t2,t6))]]) ).
cnf(refute_0_24775,plain,
( not(and(t4,or(a,t5))) != and(t2,t6)
| and(t7,not(and(t4,or(a,t5)))) = and(t7,and(t2,t6)) ),
inference(resolve,[$cnf( $equal(and(t7,not(and(t4,or(a,t5)))),and(t7,not(and(t4,or(a,t5))))) )],[refute_0_24773,refute_0_24774]) ).
cnf(refute_0_24776,plain,
and(t7,not(and(t4,or(a,t5)))) = and(t7,and(t2,t6)),
inference(resolve,[$cnf( $equal(not(and(t4,or(a,t5))),and(t2,t6)) )],[refute_0_24772,refute_0_24775]) ).
cnf(refute_0_24777,plain,
( and(t7,and(t2,t6)) != and(t2,not(sum))
| and(t7,not(and(t4,or(a,t5)))) != and(t7,and(t2,t6))
| and(t7,not(and(t4,or(a,t5)))) = and(t2,not(sum)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t7,not(and(t4,or(a,t5)))))),bind(Y0,$fot(and(t7,and(t2,t6)))),bind(Z0,$fot(and(t2,not(sum))))]]) ).
cnf(refute_0_24778,plain,
( and(t7,and(t2,t6)) != and(t2,not(sum))
| and(t7,not(and(t4,or(a,t5)))) = and(t2,not(sum)) ),
inference(resolve,[$cnf( $equal(and(t7,not(and(t4,or(a,t5)))),and(t7,and(t2,t6))) )],[refute_0_24776,refute_0_24777]) ).
cnf(refute_0_24779,plain,
and(t7,not(and(t4,or(a,t5)))) = and(t2,not(sum)),
inference(resolve,[$cnf( $equal(and(t7,and(t2,t6)),and(t2,not(sum))) )],[refute_0_24596,refute_0_24778]) ).
cnf(refute_0_24780,plain,
( and(t7,not(and(t4,or(a,t5)))) != and(t2,not(sum))
| and(t7,not(and(t4,or(a,t5)))) != and(t6,xor(cin,or(a,t5)))
| and(t2,not(sum)) = and(t6,xor(cin,or(a,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t7,not(and(t4,or(a,t5)))),and(t6,xor(cin,or(a,t5)))) ),[0],$fot(and(t2,not(sum)))]]) ).
cnf(refute_0_24781,plain,
( and(t7,not(and(t4,or(a,t5)))) != and(t6,xor(cin,or(a,t5)))
| and(t2,not(sum)) = and(t6,xor(cin,or(a,t5))) ),
inference(resolve,[$cnf( $equal(and(t7,not(and(t4,or(a,t5)))),and(t2,not(sum))) )],[refute_0_24779,refute_0_24780]) ).
cnf(refute_0_24782,plain,
and(t2,not(sum)) = and(t6,xor(cin,or(a,t5))),
inference(resolve,[$cnf( $equal(and(t7,not(and(t4,or(a,t5)))),and(t6,xor(cin,or(a,t5)))) )],[refute_0_24584,refute_0_24781]) ).
cnf(refute_0_24783,plain,
( and(t2,not(sum)) != and(t6,xor(cin,or(a,t5)))
| and(t6,xor(cin,or(a,t5))) = and(t2,not(sum)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t2,not(sum)))),bind(Y0,$fot(and(t6,xor(cin,or(a,t5)))))]]) ).
cnf(refute_0_24784,plain,
and(t6,xor(cin,or(a,t5))) = and(t2,not(sum)),
inference(resolve,[$cnf( $equal(and(t2,not(sum)),and(t6,xor(cin,or(a,t5)))) )],[refute_0_24782,refute_0_24783]) ).
cnf(refute_0_24785,plain,
( and(t6,xor(cin,or(a,t5))) != and(t2,not(sum))
| and(t6,xor(cin,or(a,t5))) != xor(t2,and(sum,or(b,t6)))
| and(t2,not(sum)) = xor(t2,and(sum,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,xor(cin,or(a,t5))),xor(t2,and(sum,or(b,t6)))) ),[0],$fot(and(t2,not(sum)))]]) ).
cnf(refute_0_24786,plain,
( and(t6,xor(cin,or(a,t5))) != xor(t2,and(sum,or(b,t6)))
| and(t2,not(sum)) = xor(t2,and(sum,or(b,t6))) ),
inference(resolve,[$cnf( $equal(and(t6,xor(cin,or(a,t5))),and(t2,not(sum))) )],[refute_0_24784,refute_0_24785]) ).
cnf(refute_0_24787,plain,
and(t2,not(sum)) = xor(t2,and(sum,or(b,t6))),
inference(resolve,[$cnf( $equal(and(t6,xor(cin,or(a,t5))),xor(t2,and(sum,or(b,t6)))) )],[refute_0_24270,refute_0_24786]) ).
cnf(refute_0_24788,plain,
( and(t2,not(sum)) != xor(t2,and(sum,or(b,t6)))
| xor(t2,and(sum,or(b,t6))) = and(t2,not(sum)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t2,not(sum)))),bind(Y0,$fot(xor(t2,and(sum,or(b,t6)))))]]) ).
cnf(refute_0_24789,plain,
xor(t2,and(sum,or(b,t6))) = and(t2,not(sum)),
inference(resolve,[$cnf( $equal(and(t2,not(sum)),xor(t2,and(sum,or(b,t6)))) )],[refute_0_24787,refute_0_24788]) ).
cnf(refute_0_24790,plain,
not(xor(t2,and(sum,or(b,t6)))) = not(xor(t2,and(sum,or(b,t6)))),
introduced(tautology,[refl,[$fot(not(xor(t2,and(sum,or(b,t6)))))]]) ).
cnf(refute_0_24791,plain,
( not(xor(t2,and(sum,or(b,t6)))) != not(xor(t2,and(sum,or(b,t6))))
| xor(t2,and(sum,or(b,t6))) != and(t2,not(sum))
| not(xor(t2,and(sum,or(b,t6)))) = not(and(t2,not(sum))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t2,and(sum,or(b,t6)))),not(xor(t2,and(sum,or(b,t6))))) ),[1,0],$fot(and(t2,not(sum)))]]) ).
cnf(refute_0_24792,plain,
( xor(t2,and(sum,or(b,t6))) != and(t2,not(sum))
| not(xor(t2,and(sum,or(b,t6)))) = not(and(t2,not(sum))) ),
inference(resolve,[$cnf( $equal(not(xor(t2,and(sum,or(b,t6)))),not(xor(t2,and(sum,or(b,t6))))) )],[refute_0_24790,refute_0_24791]) ).
cnf(refute_0_24793,plain,
not(xor(t2,and(sum,or(b,t6)))) = not(and(t2,not(sum))),
inference(resolve,[$cnf( $equal(xor(t2,and(sum,or(b,t6))),and(t2,not(sum))) )],[refute_0_24789,refute_0_24792]) ).
cnf(refute_0_24794,plain,
( not(and(t2,not(sum))) != or(sum,not(t2))
| not(xor(t2,and(sum,or(b,t6)))) != not(and(t2,not(sum)))
| not(xor(t2,and(sum,or(b,t6)))) = or(sum,not(t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t2,and(sum,or(b,t6)))))),bind(Y0,$fot(not(and(t2,not(sum))))),bind(Z0,$fot(or(sum,not(t2))))]]) ).
cnf(refute_0_24795,plain,
( not(and(t2,not(sum))) != or(sum,not(t2))
| not(xor(t2,and(sum,or(b,t6)))) = or(sum,not(t2)) ),
inference(resolve,[$cnf( $equal(not(xor(t2,and(sum,or(b,t6)))),not(and(t2,not(sum)))) )],[refute_0_24793,refute_0_24794]) ).
cnf(refute_0_24796,plain,
not(xor(t2,and(sum,or(b,t6)))) = or(sum,not(t2)),
inference(resolve,[$cnf( $equal(not(and(t2,not(sum))),or(sum,not(t2))) )],[refute_0_23768,refute_0_24795]) ).
cnf(refute_0_24797,plain,
xor(t2,not(and(sum,or(b,t6)))) = not(xor(t2,and(sum,or(b,t6)))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(t2)),bind(X_334,$fot(and(sum,or(b,t6))))]]) ).
cnf(refute_0_24798,plain,
( not(xor(t2,and(sum,or(b,t6)))) != or(sum,not(t2))
| xor(t2,not(and(sum,or(b,t6)))) != not(xor(t2,and(sum,or(b,t6))))
| xor(t2,not(and(sum,or(b,t6)))) = or(sum,not(t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,not(and(sum,or(b,t6)))))),bind(Y0,$fot(not(xor(t2,and(sum,or(b,t6)))))),bind(Z0,$fot(or(sum,not(t2))))]]) ).
cnf(refute_0_24799,plain,
( not(xor(t2,and(sum,or(b,t6)))) != or(sum,not(t2))
| xor(t2,not(and(sum,or(b,t6)))) = or(sum,not(t2)) ),
inference(resolve,[$cnf( $equal(xor(t2,not(and(sum,or(b,t6)))),not(xor(t2,and(sum,or(b,t6))))) )],[refute_0_24797,refute_0_24798]) ).
cnf(refute_0_24800,plain,
xor(t2,not(and(sum,or(b,t6)))) = or(sum,not(t2)),
inference(resolve,[$cnf( $equal(not(xor(t2,and(sum,or(b,t6)))),or(sum,not(t2))) )],[refute_0_24796,refute_0_24799]) ).
cnf(refute_0_24801,plain,
xor(t2,xor(t7,and(t2,not(t6)))) = xor(t2,xor(t7,and(t2,not(t6)))),
introduced(tautology,[refl,[$fot(xor(t2,xor(t7,and(t2,not(t6)))))]]) ).
cnf(refute_0_24802,plain,
( xor(t2,xor(t7,and(t2,not(t6)))) != xor(t2,xor(t7,and(t2,not(t6))))
| xor(t7,and(t2,not(t6))) != not(and(sum,or(b,t6)))
| xor(t2,xor(t7,and(t2,not(t6)))) = xor(t2,not(and(sum,or(b,t6)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,xor(t7,and(t2,not(t6)))),xor(t2,xor(t7,and(t2,not(t6))))) ),[1,1],$fot(not(and(sum,or(b,t6))))]]) ).
cnf(refute_0_24803,plain,
( xor(t7,and(t2,not(t6))) != not(and(sum,or(b,t6)))
| xor(t2,xor(t7,and(t2,not(t6)))) = xor(t2,not(and(sum,or(b,t6)))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t7,and(t2,not(t6)))),xor(t2,xor(t7,and(t2,not(t6))))) )],[refute_0_24801,refute_0_24802]) ).
cnf(refute_0_24804,plain,
xor(t2,xor(t7,and(t2,not(t6)))) = xor(t2,not(and(sum,or(b,t6)))),
inference(resolve,[$cnf( $equal(xor(t7,and(t2,not(t6))),not(and(sum,or(b,t6)))) )],[refute_0_23656,refute_0_24803]) ).
cnf(refute_0_24805,plain,
( xor(t2,not(and(sum,or(b,t6)))) != or(sum,not(t2))
| xor(t2,xor(t7,and(t2,not(t6)))) != xor(t2,not(and(sum,or(b,t6))))
| xor(t2,xor(t7,and(t2,not(t6)))) = or(sum,not(t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,xor(t7,and(t2,not(t6)))))),bind(Y0,$fot(xor(t2,not(and(sum,or(b,t6)))))),bind(Z0,$fot(or(sum,not(t2))))]]) ).
cnf(refute_0_24806,plain,
( xor(t2,not(and(sum,or(b,t6)))) != or(sum,not(t2))
| xor(t2,xor(t7,and(t2,not(t6)))) = or(sum,not(t2)) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t7,and(t2,not(t6)))),xor(t2,not(and(sum,or(b,t6))))) )],[refute_0_24804,refute_0_24805]) ).
cnf(refute_0_24807,plain,
xor(t2,xor(t7,and(t2,not(t6)))) = or(sum,not(t2)),
inference(resolve,[$cnf( $equal(xor(t2,not(and(sum,or(b,t6)))),or(sum,not(t2))) )],[refute_0_24800,refute_0_24806]) ).
cnf(refute_0_24808,plain,
( xor(t2,xor(t7,and(t2,not(t6)))) != or(sum,not(t2))
| xor(t2,xor(t7,and(t2,not(t6)))) != xor(t7,and(t2,t6))
| or(sum,not(t2)) = xor(t7,and(t2,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,xor(t7,and(t2,not(t6)))),xor(t7,and(t2,t6))) ),[0],$fot(or(sum,not(t2)))]]) ).
cnf(refute_0_24809,plain,
( xor(t2,xor(t7,and(t2,not(t6)))) != xor(t7,and(t2,t6))
| or(sum,not(t2)) = xor(t7,and(t2,t6)) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t7,and(t2,not(t6)))),or(sum,not(t2))) )],[refute_0_24807,refute_0_24808]) ).
cnf(refute_0_24810,plain,
or(sum,not(t2)) = xor(t7,and(t2,t6)),
inference(resolve,[$cnf( $equal(xor(t2,xor(t7,and(t2,not(t6)))),xor(t7,and(t2,t6))) )],[refute_0_23668,refute_0_24809]) ).
cnf(refute_0_24811,plain,
( or(sum,not(t2)) != xor(t7,and(t2,t6))
| xor(t7,and(t2,t6)) = or(sum,not(t2)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(sum,not(t2)))),bind(Y0,$fot(xor(t7,and(t2,t6))))]]) ).
cnf(refute_0_24812,plain,
xor(t7,and(t2,t6)) = or(sum,not(t2)),
inference(resolve,[$cnf( $equal(or(sum,not(t2)),xor(t7,and(t2,t6))) )],[refute_0_24810,refute_0_24811]) ).
cnf(refute_0_24813,plain,
xor(t2,xor(t7,and(t2,t6))) = xor(t2,xor(t7,and(t2,t6))),
introduced(tautology,[refl,[$fot(xor(t2,xor(t7,and(t2,t6))))]]) ).
cnf(refute_0_24814,plain,
( xor(t2,xor(t7,and(t2,t6))) != xor(t2,xor(t7,and(t2,t6)))
| xor(t7,and(t2,t6)) != or(sum,not(t2))
| xor(t2,xor(t7,and(t2,t6))) = xor(t2,or(sum,not(t2))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,xor(t7,and(t2,t6))),xor(t2,xor(t7,and(t2,t6)))) ),[1,1],$fot(or(sum,not(t2)))]]) ).
cnf(refute_0_24815,plain,
( xor(t7,and(t2,t6)) != or(sum,not(t2))
| xor(t2,xor(t7,and(t2,t6))) = xor(t2,or(sum,not(t2))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t7,and(t2,t6))),xor(t2,xor(t7,and(t2,t6)))) )],[refute_0_24813,refute_0_24814]) ).
cnf(refute_0_24816,plain,
xor(t2,xor(t7,and(t2,t6))) = xor(t2,or(sum,not(t2))),
inference(resolve,[$cnf( $equal(xor(t7,and(t2,t6)),or(sum,not(t2))) )],[refute_0_24812,refute_0_24815]) ).
cnf(refute_0_24817,plain,
( xor(t2,or(sum,not(t2))) != not(and(sum,t2))
| xor(t2,xor(t7,and(t2,t6))) != xor(t2,or(sum,not(t2)))
| xor(t2,xor(t7,and(t2,t6))) = not(and(sum,t2)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,xor(t7,and(t2,t6))))),bind(Y0,$fot(xor(t2,or(sum,not(t2))))),bind(Z0,$fot(not(and(sum,t2))))]]) ).
cnf(refute_0_24818,plain,
( xor(t2,or(sum,not(t2))) != not(and(sum,t2))
| xor(t2,xor(t7,and(t2,t6))) = not(and(sum,t2)) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t7,and(t2,t6))),xor(t2,or(sum,not(t2)))) )],[refute_0_24816,refute_0_24817]) ).
cnf(refute_0_24819,plain,
xor(t2,xor(t7,and(t2,t6))) = not(and(sum,t2)),
inference(resolve,[$cnf( $equal(xor(t2,or(sum,not(t2))),not(and(sum,t2))) )],[refute_0_23664,refute_0_24818]) ).
cnf(refute_0_24820,plain,
( xor(t2,xor(t7,and(t2,t6))) != not(and(sum,or(b,t6)))
| xor(t2,xor(t7,and(t2,t6))) != not(and(sum,t2))
| not(and(sum,t2)) = not(and(sum,or(b,t6))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t2,xor(t7,and(t2,t6))),not(and(sum,or(b,t6)))) ),[0],$fot(not(and(sum,t2)))]]) ).
cnf(refute_0_24821,plain,
( xor(t2,xor(t7,and(t2,t6))) != not(and(sum,or(b,t6)))
| not(and(sum,t2)) = not(and(sum,or(b,t6))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(t7,and(t2,t6))),not(and(sum,t2))) )],[refute_0_24819,refute_0_24820]) ).
cnf(refute_0_24822,plain,
not(and(sum,t2)) = not(and(sum,or(b,t6))),
inference(resolve,[$cnf( $equal(xor(t2,xor(t7,and(t2,t6))),not(and(sum,or(b,t6)))) )],[refute_0_23659,refute_0_24821]) ).
cnf(refute_0_24823,plain,
( not(and(sum,t2)) != not(and(sum,or(b,t6)))
| not(and(sum,or(b,t6))) = not(and(sum,t2)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(sum,t2)))),bind(Y0,$fot(not(and(sum,or(b,t6)))))]]) ).
cnf(refute_0_24824,plain,
not(and(sum,or(b,t6))) = not(and(sum,t2)),
inference(resolve,[$cnf( $equal(not(and(sum,t2)),not(and(sum,or(b,t6)))) )],[refute_0_24822,refute_0_24823]) ).
cnf(refute_0_24825,plain,
( not(and(sum,or(b,t6))) != not(and(sum,t2))
| not(not(and(sum,or(b,t6)))) != and(sum,or(b,t6))
| not(not(and(sum,t2))) = and(sum,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(sum,or(b,t6)))),and(sum,or(b,t6))) ),[0,0],$fot(not(and(sum,t2)))]]) ).
cnf(refute_0_24826,plain,
( not(not(and(sum,or(b,t6)))) != and(sum,or(b,t6))
| not(not(and(sum,t2))) = and(sum,or(b,t6)) ),
inference(resolve,[$cnf( $equal(not(and(sum,or(b,t6))),not(and(sum,t2))) )],[refute_0_24824,refute_0_24825]) ).
cnf(refute_0_24827,plain,
not(not(and(sum,t2))) = and(sum,or(b,t6)),
inference(resolve,[$cnf( $equal(not(not(and(sum,or(b,t6)))),and(sum,or(b,t6))) )],[refute_0_22838,refute_0_24826]) ).
cnf(refute_0_24828,plain,
not(not(and(sum,t2))) = and(sum,t2),
inference(subst,[],[not_involution:[bind(X,$fot(and(sum,t2)))]]) ).
cnf(refute_0_24829,plain,
( not(not(and(sum,t2))) != and(sum,or(b,t6))
| not(not(and(sum,t2))) != and(sum,t2)
| and(sum,t2) = and(sum,or(b,t6)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(sum,t2))),and(sum,or(b,t6))) ),[0],$fot(and(sum,t2))]]) ).
cnf(refute_0_24830,plain,
( not(not(and(sum,t2))) != and(sum,or(b,t6))
| and(sum,t2) = and(sum,or(b,t6)) ),
inference(resolve,[$cnf( $equal(not(not(and(sum,t2))),and(sum,t2)) )],[refute_0_24828,refute_0_24829]) ).
cnf(refute_0_24831,plain,
and(sum,t2) = and(sum,or(b,t6)),
inference(resolve,[$cnf( $equal(not(not(and(sum,t2))),and(sum,or(b,t6))) )],[refute_0_24827,refute_0_24830]) ).
cnf(refute_0_24832,plain,
( and(sum,t2) != and(sum,or(b,t6))
| and(sum,or(b,t6)) = and(sum,t2) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(sum,t2))),bind(Y0,$fot(and(sum,or(b,t6))))]]) ).
cnf(refute_0_24833,plain,
and(sum,or(b,t6)) = and(sum,t2),
inference(resolve,[$cnf( $equal(and(sum,t2),and(sum,or(b,t6))) )],[refute_0_24831,refute_0_24832]) ).
cnf(refute_0_24834,plain,
( and(sum,or(b,t6)) != and(sum,t2)
| not(xor(cin,and(t3,t5))) != and(sum,or(b,t6))
| not(xor(cin,and(t3,t5))) = and(sum,t2) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(cin,and(t3,t5))),and(sum,or(b,t6))) ),[1],$fot(and(sum,t2))]]) ).
cnf(refute_0_24835,plain,
( not(xor(cin,and(t3,t5))) != and(sum,or(b,t6))
| not(xor(cin,and(t3,t5))) = and(sum,t2) ),
inference(resolve,[$cnf( $equal(and(sum,or(b,t6)),and(sum,t2)) )],[refute_0_24833,refute_0_24834]) ).
cnf(refute_0_24836,plain,
not(xor(cin,and(t3,t5))) = and(sum,t2),
inference(resolve,[$cnf( $equal(not(xor(cin,and(t3,t5))),and(sum,or(b,t6))) )],[refute_0_22837,refute_0_24835]) ).
cnf(refute_0_24837,plain,
( not(not(xor(cin,and(t3,t5)))) != xor(cin,and(t3,t5))
| not(xor(cin,and(t3,t5))) != and(sum,t2)
| not(and(sum,t2)) = xor(cin,and(t3,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(xor(cin,and(t3,t5)))),xor(cin,and(t3,t5))) ),[0,0],$fot(and(sum,t2))]]) ).
cnf(refute_0_24838,plain,
( not(not(xor(cin,and(t3,t5)))) != xor(cin,and(t3,t5))
| not(and(sum,t2)) = xor(cin,and(t3,t5)) ),
inference(resolve,[$cnf( $equal(not(xor(cin,and(t3,t5))),and(sum,t2)) )],[refute_0_24836,refute_0_24837]) ).
cnf(refute_0_24839,plain,
not(and(sum,t2)) = xor(cin,and(t3,t5)),
inference(resolve,[$cnf( $equal(not(not(xor(cin,and(t3,t5)))),xor(cin,and(t3,t5))) )],[refute_0_22597,refute_0_24838]) ).
cnf(refute_0_24840,plain,
( not(and(sum,t2)) != xor(cin,and(t3,t5))
| xor(cin,and(t3,t5)) = not(and(sum,t2)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(sum,t2)))),bind(Y0,$fot(xor(cin,and(t3,t5))))]]) ).
cnf(refute_0_24841,plain,
xor(cin,and(t3,t5)) = not(and(sum,t2)),
inference(resolve,[$cnf( $equal(not(and(sum,t2)),xor(cin,and(t3,t5))) )],[refute_0_24839,refute_0_24840]) ).
cnf(refute_0_24842,plain,
( not(and(t5,or(cin,not(t3)))) != xor(cin,and(t3,t5))
| xor(cin,and(t3,t5)) != not(and(sum,t2))
| not(and(t5,or(cin,not(t3)))) = not(and(sum,t2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(t5,or(cin,not(t3)))),not(and(sum,t2))) ),[0],$fot(xor(cin,and(t3,t5)))]]) ).
cnf(refute_0_24843,plain,
( not(and(t5,or(cin,not(t3)))) != xor(cin,and(t3,t5))
| not(and(t5,or(cin,not(t3)))) = not(and(sum,t2)) ),
inference(resolve,[$cnf( $equal(xor(cin,and(t3,t5)),not(and(sum,t2))) )],[refute_0_24841,refute_0_24842]) ).
cnf(refute_0_24844,plain,
not(and(t5,or(cin,not(t3)))) = not(and(sum,t2)),
inference(resolve,[$cnf( $equal(not(and(t5,or(cin,not(t3)))),xor(cin,and(t3,t5))) )],[refute_0_22596,refute_0_24843]) ).
cnf(refute_0_24845,plain,
( not(and(t5,or(cin,not(t3)))) != not(and(sum,t2))
| not(not(and(t5,or(cin,not(t3))))) != and(t5,or(cin,not(t3)))
| not(not(and(sum,t2))) = and(t5,or(cin,not(t3))) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(t5,or(cin,not(t3))))),and(t5,or(cin,not(t3)))) ),[0,0],$fot(not(and(sum,t2)))]]) ).
cnf(refute_0_24846,plain,
( not(not(and(t5,or(cin,not(t3))))) != and(t5,or(cin,not(t3)))
| not(not(and(sum,t2))) = and(t5,or(cin,not(t3))) ),
inference(resolve,[$cnf( $equal(not(and(t5,or(cin,not(t3)))),not(and(sum,t2))) )],[refute_0_24844,refute_0_24845]) ).
cnf(refute_0_24847,plain,
not(not(and(sum,t2))) = and(t5,or(cin,not(t3))),
inference(resolve,[$cnf( $equal(not(not(and(t5,or(cin,not(t3))))),and(t5,or(cin,not(t3)))) )],[refute_0_17816,refute_0_24846]) ).
cnf(refute_0_24848,plain,
( not(not(and(sum,t2))) != and(sum,t2)
| not(not(and(sum,t2))) != and(t5,or(cin,not(t3)))
| and(sum,t2) = and(t5,or(cin,not(t3))) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(sum,t2))),and(t5,or(cin,not(t3)))) ),[0],$fot(and(sum,t2))]]) ).
cnf(refute_0_24849,plain,
( not(not(and(sum,t2))) != and(t5,or(cin,not(t3)))
| and(sum,t2) = and(t5,or(cin,not(t3))) ),
inference(resolve,[$cnf( $equal(not(not(and(sum,t2))),and(sum,t2)) )],[refute_0_24828,refute_0_24848]) ).
cnf(refute_0_24850,plain,
and(sum,t2) = and(t5,or(cin,not(t3))),
inference(resolve,[$cnf( $equal(not(not(and(sum,t2))),and(t5,or(cin,not(t3)))) )],[refute_0_24847,refute_0_24849]) ).
cnf(refute_0_24851,plain,
( and(sum,t2) != and(t5,or(cin,not(t3)))
| and(t5,or(cin,not(t3))) = and(sum,t2) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(sum,t2))),bind(Y0,$fot(and(t5,or(cin,not(t3)))))]]) ).
cnf(refute_0_24852,plain,
and(t5,or(cin,not(t3))) = and(sum,t2),
inference(resolve,[$cnf( $equal(and(sum,t2),and(t5,or(cin,not(t3)))) )],[refute_0_24850,refute_0_24851]) ).
cnf(refute_0_24853,plain,
( and(t5,or(cin,not(t3))) != and(sum,t2)
| or(or(cin,not(t3)),and(t5,or(cin,not(t3)))) != or(cin,not(t3))
| or(or(cin,not(t3)),and(sum,t2)) = or(cin,not(t3)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(cin,not(t3)),and(t5,or(cin,not(t3)))),or(cin,not(t3))) ),[0,1],$fot(and(sum,t2))]]) ).
cnf(refute_0_24854,plain,
( or(or(cin,not(t3)),and(t5,or(cin,not(t3)))) != or(cin,not(t3))
| or(or(cin,not(t3)),and(sum,t2)) = or(cin,not(t3)) ),
inference(resolve,[$cnf( $equal(and(t5,or(cin,not(t3))),and(sum,t2)) )],[refute_0_24852,refute_0_24853]) ).
cnf(refute_0_24855,plain,
or(or(cin,not(t3)),and(sum,t2)) = or(cin,not(t3)),
inference(resolve,[$cnf( $equal(or(or(cin,not(t3)),and(t5,or(cin,not(t3)))),or(cin,not(t3))) )],[refute_0_17815,refute_0_24854]) ).
cnf(refute_0_24856,plain,
or(or(cin,not(t3)),and(sum,t2)) = or(cin,or(not(t3),and(sum,t2))),
inference(subst,[],[or_associative:[bind(X,$fot(cin)),bind(Y,$fot(not(t3))),bind(Z,$fot(and(sum,t2)))]]) ).
cnf(refute_0_24857,plain,
( or(or(cin,not(t3)),and(sum,t2)) != or(cin,not(t3))
| or(or(cin,not(t3)),and(sum,t2)) != or(cin,or(not(t3),and(sum,t2)))
| or(cin,or(not(t3),and(sum,t2))) = or(cin,not(t3)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(cin,not(t3)),and(sum,t2)),or(cin,not(t3))) ),[0],$fot(or(cin,or(not(t3),and(sum,t2))))]]) ).
cnf(refute_0_24858,plain,
( or(or(cin,not(t3)),and(sum,t2)) != or(cin,not(t3))
| or(cin,or(not(t3),and(sum,t2))) = or(cin,not(t3)) ),
inference(resolve,[$cnf( $equal(or(or(cin,not(t3)),and(sum,t2)),or(cin,or(not(t3),and(sum,t2)))) )],[refute_0_24856,refute_0_24857]) ).
cnf(refute_0_24859,plain,
or(cin,or(not(t3),and(sum,t2))) = or(cin,not(t3)),
inference(resolve,[$cnf( $equal(or(or(cin,not(t3)),and(sum,t2)),or(cin,not(t3))) )],[refute_0_24855,refute_0_24858]) ).
cnf(refute_0_24860,plain,
( and(or(not(t3),and(sum,t2)),or(cin,or(not(t3),and(sum,t2)))) != or(not(t3),and(sum,t2))
| or(cin,or(not(t3),and(sum,t2))) != or(cin,not(t3))
| and(or(not(t3),and(sum,t2)),or(cin,not(t3))) = or(not(t3),and(sum,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(not(t3),and(sum,t2)),or(cin,or(not(t3),and(sum,t2)))),or(not(t3),and(sum,t2))) ),[0,1],$fot(or(cin,not(t3)))]]) ).
cnf(refute_0_24861,plain,
( and(or(not(t3),and(sum,t2)),or(cin,or(not(t3),and(sum,t2)))) != or(not(t3),and(sum,t2))
| and(or(not(t3),and(sum,t2)),or(cin,not(t3))) = or(not(t3),and(sum,t2)) ),
inference(resolve,[$cnf( $equal(or(cin,or(not(t3),and(sum,t2))),or(cin,not(t3))) )],[refute_0_24859,refute_0_24860]) ).
cnf(refute_0_24862,plain,
and(or(not(t3),and(sum,t2)),or(cin,not(t3))) = or(not(t3),and(sum,t2)),
inference(resolve,[$cnf( $equal(and(or(not(t3),and(sum,t2)),or(cin,or(not(t3),and(sum,t2)))),or(not(t3),and(sum,t2))) )],[refute_0_17814,refute_0_24861]) ).
cnf(refute_0_24863,plain,
or(not(t3),not(t7)) = not(and(t3,t7)),
inference(subst,[],[refute_0_147:[bind(X,$fot(t3)),bind(Y,$fot(t7))]]) ).
cnf(refute_0_24864,plain,
( not(and(t3,t7)) != xor(t3,t7)
| or(not(t3),not(t7)) != not(and(t3,t7))
| or(not(t3),not(t7)) = xor(t3,t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t3),not(t7)))),bind(Y0,$fot(not(and(t3,t7)))),bind(Z0,$fot(xor(t3,t7)))]]) ).
cnf(refute_0_24865,plain,
( not(and(t3,t7)) != xor(t3,t7)
| or(not(t3),not(t7)) = xor(t3,t7) ),
inference(resolve,[$cnf( $equal(or(not(t3),not(t7)),not(and(t3,t7))) )],[refute_0_24863,refute_0_24864]) ).
cnf(refute_0_24866,plain,
or(not(t3),not(t7)) = xor(t3,t7),
inference(resolve,[$cnf( $equal(not(and(t3,t7)),xor(t3,t7)) )],[refute_0_5609,refute_0_24865]) ).
cnf(refute_0_24867,plain,
and(not(t7),or(t2,not(t7))) = not(t7),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(not(t7))),bind(X_20,$fot(t2))]]) ).
cnf(refute_0_24868,plain,
or(t2,and(cin,not(t4))) = t2,
inference(subst,[],[refute_0_17507:[bind(X_14,$fot(cin))]]) ).
cnf(refute_0_24869,plain,
( and(cin,not(t4)) != not(t7)
| or(t2,and(cin,not(t4))) != t2
| or(t2,not(t7)) = t2 ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,and(cin,not(t4))),t2) ),[0,1],$fot(not(t7))]]) ).
cnf(refute_0_24870,plain,
( or(t2,and(cin,not(t4))) != t2
| or(t2,not(t7)) = t2 ),
inference(resolve,[$cnf( $equal(and(cin,not(t4)),not(t7)) )],[refute_0_5566,refute_0_24869]) ).
cnf(refute_0_24871,plain,
or(t2,not(t7)) = t2,
inference(resolve,[$cnf( $equal(or(t2,and(cin,not(t4))),t2) )],[refute_0_24868,refute_0_24870]) ).
cnf(refute_0_24872,plain,
( and(not(t7),or(t2,not(t7))) != not(t7)
| or(t2,not(t7)) != t2
| and(not(t7),t2) = not(t7) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t7),or(t2,not(t7))),not(t7)) ),[0,1],$fot(t2)]]) ).
cnf(refute_0_24873,plain,
( and(not(t7),or(t2,not(t7))) != not(t7)
| and(not(t7),t2) = not(t7) ),
inference(resolve,[$cnf( $equal(or(t2,not(t7)),t2) )],[refute_0_24871,refute_0_24872]) ).
cnf(refute_0_24874,plain,
and(not(t7),t2) = not(t7),
inference(resolve,[$cnf( $equal(and(not(t7),or(t2,not(t7))),not(t7)) )],[refute_0_24867,refute_0_24873]) ).
cnf(refute_0_24875,plain,
and(cin,and(sum,t2)) = and(not(t7),t2),
inference(subst,[],[refute_0_8332:[bind(Z,$fot(t2))]]) ).
cnf(refute_0_24876,plain,
( and(cin,and(sum,t2)) != and(not(t7),t2)
| and(not(t7),t2) != not(t7)
| and(cin,and(sum,t2)) = not(t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(cin,and(sum,t2)))),bind(Y0,$fot(and(not(t7),t2))),bind(Z0,$fot(not(t7)))]]) ).
cnf(refute_0_24877,plain,
( and(not(t7),t2) != not(t7)
| and(cin,and(sum,t2)) = not(t7) ),
inference(resolve,[$cnf( $equal(and(cin,and(sum,t2)),and(not(t7),t2)) )],[refute_0_24875,refute_0_24876]) ).
cnf(refute_0_24878,plain,
and(cin,and(sum,t2)) = not(t7),
inference(resolve,[$cnf( $equal(and(not(t7),t2),not(t7)) )],[refute_0_24874,refute_0_24877]) ).
cnf(refute_0_24879,plain,
or(not(t3),and(cin,and(sum,t2))) = or(not(t3),and(cin,and(sum,t2))),
introduced(tautology,[refl,[$fot(or(not(t3),and(cin,and(sum,t2))))]]) ).
cnf(refute_0_24880,plain,
( and(cin,and(sum,t2)) != not(t7)
| or(not(t3),and(cin,and(sum,t2))) != or(not(t3),and(cin,and(sum,t2)))
| or(not(t3),and(cin,and(sum,t2))) = or(not(t3),not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t3),and(cin,and(sum,t2))),or(not(t3),and(cin,and(sum,t2)))) ),[1,1],$fot(not(t7))]]) ).
cnf(refute_0_24881,plain,
( and(cin,and(sum,t2)) != not(t7)
| or(not(t3),and(cin,and(sum,t2))) = or(not(t3),not(t7)) ),
inference(resolve,[$cnf( $equal(or(not(t3),and(cin,and(sum,t2))),or(not(t3),and(cin,and(sum,t2)))) )],[refute_0_24879,refute_0_24880]) ).
cnf(refute_0_24882,plain,
or(not(t3),and(cin,and(sum,t2))) = or(not(t3),not(t7)),
inference(resolve,[$cnf( $equal(and(cin,and(sum,t2)),not(t7)) )],[refute_0_24878,refute_0_24881]) ).
cnf(refute_0_24883,plain,
( or(not(t3),and(cin,and(sum,t2))) != or(not(t3),not(t7))
| or(not(t3),not(t7)) != xor(t3,t7)
| or(not(t3),and(cin,and(sum,t2))) = xor(t3,t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(t3),and(cin,and(sum,t2))))),bind(Y0,$fot(or(not(t3),not(t7)))),bind(Z0,$fot(xor(t3,t7)))]]) ).
cnf(refute_0_24884,plain,
( or(not(t3),not(t7)) != xor(t3,t7)
| or(not(t3),and(cin,and(sum,t2))) = xor(t3,t7) ),
inference(resolve,[$cnf( $equal(or(not(t3),and(cin,and(sum,t2))),or(not(t3),not(t7))) )],[refute_0_24882,refute_0_24883]) ).
cnf(refute_0_24885,plain,
or(not(t3),and(cin,and(sum,t2))) = xor(t3,t7),
inference(resolve,[$cnf( $equal(or(not(t3),not(t7)),xor(t3,t7)) )],[refute_0_24866,refute_0_24884]) ).
cnf(refute_0_24886,plain,
or(not(t3),and(and(sum,t2),cin)) = or(not(t3),and(cin,and(sum,t2))),
inference(subst,[],[refute_0_4342:[bind(X_818,$fot(not(t3))),bind(X_819,$fot(and(sum,t2))),bind(X_820,$fot(cin))]]) ).
cnf(refute_0_24887,plain,
or(X_820,X_818) = or(X_818,X_820),
inference(subst,[],[or_commutative:[bind(X,$fot(X_820)),bind(Y,$fot(X_818))]]) ).
cnf(refute_0_24888,plain,
( or(X_820,X_818) != or(X_818,X_820)
| or(X_818,X_820) = or(X_820,X_818) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(X_820,X_818))),bind(Y0,$fot(or(X_818,X_820)))]]) ).
cnf(refute_0_24889,plain,
or(X_818,X_820) = or(X_820,X_818),
inference(resolve,[$cnf( $equal(or(X_820,X_818),or(X_818,X_820)) )],[refute_0_24887,refute_0_24888]) ).
cnf(refute_0_24890,plain,
( or(X_818,X_820) != or(X_820,X_818)
| or(X_818,and(X_819,X_820)) != and(or(X_818,X_819),or(X_818,X_820))
| or(X_818,and(X_819,X_820)) = and(or(X_818,X_819),or(X_820,X_818)) ),
introduced(tautology,[equality,[$cnf( $equal(or(X_818,and(X_819,X_820)),and(or(X_818,X_819),or(X_818,X_820))) ),[1,1],$fot(or(X_820,X_818))]]) ).
cnf(refute_0_24891,plain,
( or(X_818,and(X_819,X_820)) != and(or(X_818,X_819),or(X_818,X_820))
| or(X_818,and(X_819,X_820)) = and(or(X_818,X_819),or(X_820,X_818)) ),
inference(resolve,[$cnf( $equal(or(X_818,X_820),or(X_820,X_818)) )],[refute_0_24889,refute_0_24890]) ).
cnf(refute_0_24892,plain,
or(X_818,and(X_819,X_820)) = and(or(X_818,X_819),or(X_820,X_818)),
inference(resolve,[$cnf( $equal(or(X_818,and(X_819,X_820)),and(or(X_818,X_819),or(X_818,X_820))) )],[refute_0_4329,refute_0_24891]) ).
cnf(refute_0_24893,plain,
( or(X_818,and(X_819,X_820)) != and(or(X_818,X_819),or(X_820,X_818))
| and(or(X_818,X_819),or(X_820,X_818)) = or(X_818,and(X_819,X_820)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(X_818,and(X_819,X_820)))),bind(Y0,$fot(and(or(X_818,X_819),or(X_820,X_818))))]]) ).
cnf(refute_0_24894,plain,
and(or(X_818,X_819),or(X_820,X_818)) = or(X_818,and(X_819,X_820)),
inference(resolve,[$cnf( $equal(or(X_818,and(X_819,X_820)),and(or(X_818,X_819),or(X_820,X_818))) )],[refute_0_24892,refute_0_24893]) ).
cnf(refute_0_24895,plain,
and(or(not(t3),and(sum,t2)),or(cin,not(t3))) = or(not(t3),and(and(sum,t2),cin)),
inference(subst,[],[refute_0_24894:[bind(X_818,$fot(not(t3))),bind(X_819,$fot(and(sum,t2))),bind(X_820,$fot(cin))]]) ).
cnf(refute_0_24896,plain,
( and(or(not(t3),and(sum,t2)),or(cin,not(t3))) != or(not(t3),and(and(sum,t2),cin))
| or(not(t3),and(and(sum,t2),cin)) != or(not(t3),and(cin,and(sum,t2)))
| and(or(not(t3),and(sum,t2)),or(cin,not(t3))) = or(not(t3),and(cin,and(sum,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(or(not(t3),and(sum,t2)),or(cin,not(t3))))),bind(Y0,$fot(or(not(t3),and(and(sum,t2),cin)))),bind(Z0,$fot(or(not(t3),and(cin,and(sum,t2)))))]]) ).
cnf(refute_0_24897,plain,
( or(not(t3),and(and(sum,t2),cin)) != or(not(t3),and(cin,and(sum,t2)))
| and(or(not(t3),and(sum,t2)),or(cin,not(t3))) = or(not(t3),and(cin,and(sum,t2))) ),
inference(resolve,[$cnf( $equal(and(or(not(t3),and(sum,t2)),or(cin,not(t3))),or(not(t3),and(and(sum,t2),cin))) )],[refute_0_24895,refute_0_24896]) ).
cnf(refute_0_24898,plain,
and(or(not(t3),and(sum,t2)),or(cin,not(t3))) = or(not(t3),and(cin,and(sum,t2))),
inference(resolve,[$cnf( $equal(or(not(t3),and(and(sum,t2),cin)),or(not(t3),and(cin,and(sum,t2)))) )],[refute_0_24886,refute_0_24897]) ).
cnf(refute_0_24899,plain,
( and(or(not(t3),and(sum,t2)),or(cin,not(t3))) != or(not(t3),and(cin,and(sum,t2)))
| or(not(t3),and(cin,and(sum,t2))) != xor(t3,t7)
| and(or(not(t3),and(sum,t2)),or(cin,not(t3))) = xor(t3,t7) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(or(not(t3),and(sum,t2)),or(cin,not(t3))))),bind(Y0,$fot(or(not(t3),and(cin,and(sum,t2))))),bind(Z0,$fot(xor(t3,t7)))]]) ).
cnf(refute_0_24900,plain,
( or(not(t3),and(cin,and(sum,t2))) != xor(t3,t7)
| and(or(not(t3),and(sum,t2)),or(cin,not(t3))) = xor(t3,t7) ),
inference(resolve,[$cnf( $equal(and(or(not(t3),and(sum,t2)),or(cin,not(t3))),or(not(t3),and(cin,and(sum,t2)))) )],[refute_0_24898,refute_0_24899]) ).
cnf(refute_0_24901,plain,
and(or(not(t3),and(sum,t2)),or(cin,not(t3))) = xor(t3,t7),
inference(resolve,[$cnf( $equal(or(not(t3),and(cin,and(sum,t2))),xor(t3,t7)) )],[refute_0_24885,refute_0_24900]) ).
cnf(refute_0_24902,plain,
( and(or(not(t3),and(sum,t2)),or(cin,not(t3))) != or(not(t3),and(sum,t2))
| and(or(not(t3),and(sum,t2)),or(cin,not(t3))) != xor(t3,t7)
| xor(t3,t7) = or(not(t3),and(sum,t2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(not(t3),and(sum,t2)),or(cin,not(t3))),or(not(t3),and(sum,t2))) ),[0],$fot(xor(t3,t7))]]) ).
cnf(refute_0_24903,plain,
( and(or(not(t3),and(sum,t2)),or(cin,not(t3))) != or(not(t3),and(sum,t2))
| xor(t3,t7) = or(not(t3),and(sum,t2)) ),
inference(resolve,[$cnf( $equal(and(or(not(t3),and(sum,t2)),or(cin,not(t3))),xor(t3,t7)) )],[refute_0_24901,refute_0_24902]) ).
cnf(refute_0_24904,plain,
xor(t3,t7) = or(not(t3),and(sum,t2)),
inference(resolve,[$cnf( $equal(and(or(not(t3),and(sum,t2)),or(cin,not(t3))),or(not(t3),and(sum,t2))) )],[refute_0_24862,refute_0_24903]) ).
cnf(refute_0_24905,plain,
( xor(t3,t7) != or(not(t3),and(sum,t2))
| or(not(t3),and(sum,t2)) = xor(t3,t7) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t3,t7))),bind(Y0,$fot(or(not(t3),and(sum,t2))))]]) ).
cnf(refute_0_24906,plain,
or(not(t3),and(sum,t2)) = xor(t3,t7),
inference(resolve,[$cnf( $equal(xor(t3,t7),or(not(t3),and(sum,t2))) )],[refute_0_24904,refute_0_24905]) ).
cnf(refute_0_24907,plain,
( not(or(and(sum,t2),not(t3))) != not(or(not(t3),and(sum,t2)))
| or(not(t3),and(sum,t2)) != xor(t3,t7)
| not(or(and(sum,t2),not(t3))) = not(xor(t3,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(and(sum,t2),not(t3))),not(or(not(t3),and(sum,t2)))) ),[1,0],$fot(xor(t3,t7))]]) ).
cnf(refute_0_24908,plain,
( not(or(and(sum,t2),not(t3))) != not(or(not(t3),and(sum,t2)))
| not(or(and(sum,t2),not(t3))) = not(xor(t3,t7)) ),
inference(resolve,[$cnf( $equal(or(not(t3),and(sum,t2)),xor(t3,t7)) )],[refute_0_24906,refute_0_24907]) ).
cnf(refute_0_24909,plain,
not(or(and(sum,t2),not(t3))) = not(xor(t3,t7)),
inference(resolve,[$cnf( $equal(not(or(and(sum,t2),not(t3))),not(or(not(t3),and(sum,t2)))) )],[refute_0_17813,refute_0_24908]) ).
cnf(refute_0_24910,plain,
and(not(and(sum,t2)),t3) = and(t3,not(and(sum,t2))),
inference(subst,[],[refute_0_4252:[bind(X_14,$fot(t3)),bind(X_669,$fot(not(and(sum,t2))))]]) ).
cnf(refute_0_24911,plain,
not(or(and(sum,t2),not(t3))) = and(not(and(sum,t2)),t3),
inference(subst,[],[refute_0_801:[bind(X,$fot(t3)),bind(X_25,$fot(and(sum,t2)))]]) ).
cnf(refute_0_24912,plain,
( and(not(and(sum,t2)),t3) != and(t3,not(and(sum,t2)))
| not(or(and(sum,t2),not(t3))) != and(not(and(sum,t2)),t3)
| not(or(and(sum,t2),not(t3))) = and(t3,not(and(sum,t2))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(and(sum,t2),not(t3))))),bind(Y0,$fot(and(not(and(sum,t2)),t3))),bind(Z0,$fot(and(t3,not(and(sum,t2)))))]]) ).
cnf(refute_0_24913,plain,
( and(not(and(sum,t2)),t3) != and(t3,not(and(sum,t2)))
| not(or(and(sum,t2),not(t3))) = and(t3,not(and(sum,t2))) ),
inference(resolve,[$cnf( $equal(not(or(and(sum,t2),not(t3))),and(not(and(sum,t2)),t3)) )],[refute_0_24911,refute_0_24912]) ).
cnf(refute_0_24914,plain,
not(or(and(sum,t2),not(t3))) = and(t3,not(and(sum,t2))),
inference(resolve,[$cnf( $equal(and(not(and(sum,t2)),t3),and(t3,not(and(sum,t2)))) )],[refute_0_24910,refute_0_24913]) ).
cnf(refute_0_24915,plain,
( not(or(and(sum,t2),not(t3))) != and(t3,not(and(sum,t2)))
| not(or(and(sum,t2),not(t3))) != not(xor(t3,t7))
| and(t3,not(and(sum,t2))) = not(xor(t3,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(and(sum,t2),not(t3))),not(xor(t3,t7))) ),[0],$fot(and(t3,not(and(sum,t2))))]]) ).
cnf(refute_0_24916,plain,
( not(or(and(sum,t2),not(t3))) != not(xor(t3,t7))
| and(t3,not(and(sum,t2))) = not(xor(t3,t7)) ),
inference(resolve,[$cnf( $equal(not(or(and(sum,t2),not(t3))),and(t3,not(and(sum,t2)))) )],[refute_0_24914,refute_0_24915]) ).
cnf(refute_0_24917,plain,
not(not(and(t3,t7))) = and(t3,t7),
inference(subst,[],[not_involution:[bind(X,$fot(and(t3,t7)))]]) ).
cnf(refute_0_24918,plain,
( not(and(t3,t7)) != xor(t3,t7)
| not(not(and(t3,t7))) != and(t3,t7)
| not(xor(t3,t7)) = and(t3,t7) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(t3,t7))),and(t3,t7)) ),[0,0],$fot(xor(t3,t7))]]) ).
cnf(refute_0_24919,plain,
( not(not(and(t3,t7))) != and(t3,t7)
| not(xor(t3,t7)) = and(t3,t7) ),
inference(resolve,[$cnf( $equal(not(and(t3,t7)),xor(t3,t7)) )],[refute_0_5609,refute_0_24918]) ).
cnf(refute_0_24920,plain,
not(xor(t3,t7)) = and(t3,t7),
inference(resolve,[$cnf( $equal(not(not(and(t3,t7))),and(t3,t7)) )],[refute_0_24917,refute_0_24919]) ).
cnf(refute_0_24921,plain,
( and(t3,not(and(sum,t2))) != not(xor(t3,t7))
| not(xor(t3,t7)) != and(t3,t7)
| and(t3,not(and(sum,t2))) = and(t3,t7) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t3,not(and(sum,t2))),and(t3,t7)) ),[0],$fot(not(xor(t3,t7)))]]) ).
cnf(refute_0_24922,plain,
( and(t3,not(and(sum,t2))) != not(xor(t3,t7))
| and(t3,not(and(sum,t2))) = and(t3,t7) ),
inference(resolve,[$cnf( $equal(not(xor(t3,t7)),and(t3,t7)) )],[refute_0_24920,refute_0_24921]) ).
cnf(refute_0_24923,plain,
( not(or(and(sum,t2),not(t3))) != not(xor(t3,t7))
| and(t3,not(and(sum,t2))) = and(t3,t7) ),
inference(resolve,[$cnf( $equal(and(t3,not(and(sum,t2))),not(xor(t3,t7))) )],[refute_0_24916,refute_0_24922]) ).
cnf(refute_0_24924,plain,
and(t3,not(and(sum,t2))) = and(t3,t7),
inference(resolve,[$cnf( $equal(not(or(and(sum,t2),not(t3))),not(xor(t3,t7))) )],[refute_0_24909,refute_0_24923]) ).
cnf(refute_0_24925,plain,
( and(not(t1),not(and(sum,t2))) != and(b,and(t3,not(and(sum,t2))))
| and(t3,not(and(sum,t2))) != and(t3,t7)
| and(not(t1),not(and(sum,t2))) = and(b,and(t3,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t1),not(and(sum,t2))),and(b,and(t3,not(and(sum,t2))))) ),[1,1],$fot(and(t3,t7))]]) ).
cnf(refute_0_24926,plain,
( and(not(t1),not(and(sum,t2))) != and(b,and(t3,not(and(sum,t2))))
| and(not(t1),not(and(sum,t2))) = and(b,and(t3,t7)) ),
inference(resolve,[$cnf( $equal(and(t3,not(and(sum,t2))),and(t3,t7)) )],[refute_0_24924,refute_0_24925]) ).
cnf(refute_0_24927,plain,
and(not(t1),not(and(sum,t2))) = and(b,and(t3,t7)),
inference(resolve,[$cnf( $equal(and(not(t1),not(and(sum,t2))),and(b,and(t3,not(and(sum,t2))))) )],[refute_0_17812,refute_0_24926]) ).
cnf(refute_0_24928,plain,
or(t1,sum) = or(sum,t1),
inference(subst,[],[refute_0_23763:[bind(X,$fot(t1))]]) ).
cnf(refute_0_24929,plain,
or(t1,and(X_819,t2)) = and(or(t1,X_819),or(t1,t2)),
inference(subst,[],[and_distributive:[bind(X,$fot(t1)),bind(Y,$fot(X_819)),bind(Z,$fot(t2))]]) ).
cnf(refute_0_24930,plain,
or(or(t1,not(t2)),X_39) = or(t1,or(not(t2),X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(t1)),bind(Y,$fot(not(t2))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_24931,plain,
( or(or(t1,not(t2)),X_39) != or(t1,or(not(t2),X_39))
| or(t1,not(t2)) != t1
| or(t1,X_39) = or(t1,or(not(t2),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t1,not(t2)),X_39),or(t1,or(not(t2),X_39))) ),[0,0],$fot(t1)]]) ).
cnf(refute_0_24932,plain,
( or(or(t1,not(t2)),X_39) != or(t1,or(not(t2),X_39))
| or(t1,X_39) = or(t1,or(not(t2),X_39)) ),
inference(resolve,[$cnf( $equal(or(t1,not(t2)),t1) )],[refute_0_481,refute_0_24931]) ).
cnf(refute_0_24933,plain,
or(t1,X_39) = or(t1,or(not(t2),X_39)),
inference(resolve,[$cnf( $equal(or(or(t1,not(t2)),X_39),or(t1,or(not(t2),X_39))) )],[refute_0_24930,refute_0_24932]) ).
cnf(refute_0_24934,plain,
or(t1,not(not(t2))) = or(t1,or(not(t2),not(not(t2)))),
inference(subst,[],[refute_0_24933:[bind(X_39,$fot(not(not(t2))))]]) ).
cnf(refute_0_24935,plain,
or(not(t2),not(not(t2))) = ll1,
inference(subst,[],[or_complement:[bind(X,$fot(not(t2)))]]) ).
cnf(refute_0_24936,plain,
( or(not(t2),not(not(t2))) != ll1
| or(t1,not(not(t2))) != or(t1,or(not(t2),not(not(t2))))
| or(t1,not(not(t2))) = or(t1,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,not(not(t2))),or(t1,or(not(t2),not(not(t2))))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_24937,plain,
( or(t1,not(not(t2))) != or(t1,or(not(t2),not(not(t2))))
| or(t1,not(not(t2))) = or(t1,ll1) ),
inference(resolve,[$cnf( $equal(or(not(t2),not(not(t2))),ll1) )],[refute_0_24935,refute_0_24936]) ).
cnf(refute_0_24938,plain,
or(t1,not(not(t2))) = or(t1,ll1),
inference(resolve,[$cnf( $equal(or(t1,not(not(t2))),or(t1,or(not(t2),not(not(t2))))) )],[refute_0_24934,refute_0_24937]) ).
cnf(refute_0_24939,plain,
or(t1,not(not(t2))) = or(t1,not(not(t2))),
introduced(tautology,[refl,[$fot(or(t1,not(not(t2))))]]) ).
cnf(refute_0_24940,plain,
( not(not(t2)) != t2
| or(t1,not(not(t2))) != or(t1,not(not(t2)))
| or(t1,not(not(t2))) = or(t1,t2) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,not(not(t2))),or(t1,not(not(t2)))) ),[1,1],$fot(t2)]]) ).
cnf(refute_0_24941,plain,
( not(not(t2)) != t2
| or(t1,not(not(t2))) = or(t1,t2) ),
inference(resolve,[$cnf( $equal(or(t1,not(not(t2))),or(t1,not(not(t2)))) )],[refute_0_24939,refute_0_24940]) ).
cnf(refute_0_24942,plain,
or(t1,not(not(t2))) = or(t1,t2),
inference(resolve,[$cnf( $equal(not(not(t2)),t2) )],[refute_0_1710,refute_0_24941]) ).
cnf(refute_0_24943,plain,
( or(t1,not(not(t2))) != or(t1,ll1)
| or(t1,not(not(t2))) != or(t1,t2)
| or(t1,t2) = or(t1,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,not(not(t2))),or(t1,ll1)) ),[0],$fot(or(t1,t2))]]) ).
cnf(refute_0_24944,plain,
( or(t1,not(not(t2))) != or(t1,ll1)
| or(t1,t2) = or(t1,ll1) ),
inference(resolve,[$cnf( $equal(or(t1,not(not(t2))),or(t1,t2)) )],[refute_0_24942,refute_0_24943]) ).
cnf(refute_0_24945,plain,
( or(t1,ll1) != ll1
| or(t1,t2) != or(t1,ll1)
| or(t1,t2) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,t2),or(t1,ll1)) ),[1],$fot(ll1)]]) ).
cnf(refute_0_24946,plain,
( or(t1,t2) != or(t1,ll1)
| or(t1,t2) = ll1 ),
inference(resolve,[$cnf( $equal(or(t1,ll1),ll1) )],[refute_0_14096,refute_0_24945]) ).
cnf(refute_0_24947,plain,
( or(t1,not(not(t2))) != or(t1,ll1)
| or(t1,t2) = ll1 ),
inference(resolve,[$cnf( $equal(or(t1,t2),or(t1,ll1)) )],[refute_0_24944,refute_0_24946]) ).
cnf(refute_0_24948,plain,
or(t1,t2) = ll1,
inference(resolve,[$cnf( $equal(or(t1,not(not(t2))),or(t1,ll1)) )],[refute_0_24938,refute_0_24947]) ).
cnf(refute_0_24949,plain,
( or(t1,and(X_819,t2)) != and(or(t1,X_819),or(t1,t2))
| or(t1,t2) != ll1
| or(t1,and(X_819,t2)) = and(or(t1,X_819),ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,and(X_819,t2)),and(or(t1,X_819),or(t1,t2))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_24950,plain,
( or(t1,and(X_819,t2)) != and(or(t1,X_819),or(t1,t2))
| or(t1,and(X_819,t2)) = and(or(t1,X_819),ll1) ),
inference(resolve,[$cnf( $equal(or(t1,t2),ll1) )],[refute_0_24948,refute_0_24949]) ).
cnf(refute_0_24951,plain,
or(t1,and(X_819,t2)) = and(or(t1,X_819),ll1),
inference(resolve,[$cnf( $equal(or(t1,and(X_819,t2)),and(or(t1,X_819),or(t1,t2))) )],[refute_0_24929,refute_0_24950]) ).
cnf(refute_0_24952,plain,
( and(or(t1,X_819),ll1) != or(t1,X_819)
| or(t1,and(X_819,t2)) != and(or(t1,X_819),ll1)
| or(t1,and(X_819,t2)) = or(t1,X_819) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,and(X_819,t2)),and(or(t1,X_819),ll1)) ),[1],$fot(or(t1,X_819))]]) ).
cnf(refute_0_24953,plain,
( or(t1,and(X_819,t2)) != and(or(t1,X_819),ll1)
| or(t1,and(X_819,t2)) = or(t1,X_819) ),
inference(resolve,[$cnf( $equal(and(or(t1,X_819),ll1),or(t1,X_819)) )],[refute_0_14524,refute_0_24952]) ).
cnf(refute_0_24954,plain,
or(t1,and(X_819,t2)) = or(t1,X_819),
inference(resolve,[$cnf( $equal(or(t1,and(X_819,t2)),and(or(t1,X_819),ll1)) )],[refute_0_24951,refute_0_24953]) ).
cnf(refute_0_24955,plain,
or(t1,and(sum,t2)) = or(t1,sum),
inference(subst,[],[refute_0_24954:[bind(X_819,$fot(sum))]]) ).
cnf(refute_0_24956,plain,
( or(t1,and(sum,t2)) != or(t1,sum)
| or(t1,sum) != or(sum,t1)
| or(t1,and(sum,t2)) = or(sum,t1) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t1,and(sum,t2)))),bind(Y0,$fot(or(t1,sum))),bind(Z0,$fot(or(sum,t1)))]]) ).
cnf(refute_0_24957,plain,
( or(t1,sum) != or(sum,t1)
| or(t1,and(sum,t2)) = or(sum,t1) ),
inference(resolve,[$cnf( $equal(or(t1,and(sum,t2)),or(t1,sum)) )],[refute_0_24955,refute_0_24956]) ).
cnf(refute_0_24958,plain,
or(t1,and(sum,t2)) = or(sum,t1),
inference(resolve,[$cnf( $equal(or(t1,sum),or(sum,t1)) )],[refute_0_24928,refute_0_24957]) ).
cnf(refute_0_24959,plain,
not(or(t1,and(sum,t2))) = not(or(t1,and(sum,t2))),
introduced(tautology,[refl,[$fot(not(or(t1,and(sum,t2))))]]) ).
cnf(refute_0_24960,plain,
( not(or(t1,and(sum,t2))) != not(or(t1,and(sum,t2)))
| or(t1,and(sum,t2)) != or(sum,t1)
| not(or(t1,and(sum,t2))) = not(or(sum,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t1,and(sum,t2))),not(or(t1,and(sum,t2)))) ),[1,0],$fot(or(sum,t1))]]) ).
cnf(refute_0_24961,plain,
( or(t1,and(sum,t2)) != or(sum,t1)
| not(or(t1,and(sum,t2))) = not(or(sum,t1)) ),
inference(resolve,[$cnf( $equal(not(or(t1,and(sum,t2))),not(or(t1,and(sum,t2)))) )],[refute_0_24959,refute_0_24960]) ).
cnf(refute_0_24962,plain,
not(or(t1,and(sum,t2))) = not(or(sum,t1)),
inference(resolve,[$cnf( $equal(or(t1,and(sum,t2)),or(sum,t1)) )],[refute_0_24958,refute_0_24961]) ).
cnf(refute_0_24963,plain,
and(not(t1),not(and(sum,t2))) = not(or(t1,and(sum,t2))),
inference(subst,[],[refute_0_101:[bind(X,$fot(t1)),bind(Y,$fot(and(sum,t2)))]]) ).
cnf(refute_0_24964,plain,
( and(not(t1),not(and(sum,t2))) != not(or(t1,and(sum,t2)))
| not(or(t1,and(sum,t2))) != not(or(sum,t1))
| and(not(t1),not(and(sum,t2))) = not(or(sum,t1)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t1),not(and(sum,t2))))),bind(Y0,$fot(not(or(t1,and(sum,t2))))),bind(Z0,$fot(not(or(sum,t1))))]]) ).
cnf(refute_0_24965,plain,
( not(or(t1,and(sum,t2))) != not(or(sum,t1))
| and(not(t1),not(and(sum,t2))) = not(or(sum,t1)) ),
inference(resolve,[$cnf( $equal(and(not(t1),not(and(sum,t2))),not(or(t1,and(sum,t2)))) )],[refute_0_24963,refute_0_24964]) ).
cnf(refute_0_24966,plain,
and(not(t1),not(and(sum,t2))) = not(or(sum,t1)),
inference(resolve,[$cnf( $equal(not(or(t1,and(sum,t2))),not(or(sum,t1))) )],[refute_0_24962,refute_0_24965]) ).
cnf(refute_0_24967,plain,
( and(not(t1),not(and(sum,t2))) != and(b,and(t3,t7))
| and(not(t1),not(and(sum,t2))) != not(or(sum,t1))
| not(or(sum,t1)) = and(b,and(t3,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t1),not(and(sum,t2))),and(b,and(t3,t7))) ),[0],$fot(not(or(sum,t1)))]]) ).
cnf(refute_0_24968,plain,
( and(not(t1),not(and(sum,t2))) != and(b,and(t3,t7))
| not(or(sum,t1)) = and(b,and(t3,t7)) ),
inference(resolve,[$cnf( $equal(and(not(t1),not(and(sum,t2))),not(or(sum,t1))) )],[refute_0_24966,refute_0_24967]) ).
cnf(refute_0_24969,plain,
and(not(t1),t7) = and(t7,not(t1)),
inference(subst,[],[refute_0_4252:[bind(X_14,$fot(t7)),bind(X_669,$fot(not(t1)))]]) ).
cnf(refute_0_24970,plain,
( and(not(t1),Z) != and(b,and(t3,Z))
| and(b,and(t3,Z)) = and(not(t1),Z) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(not(t1),Z))),bind(Y0,$fot(and(b,and(t3,Z))))]]) ).
cnf(refute_0_24971,plain,
and(b,and(t3,Z)) = and(not(t1),Z),
inference(resolve,[$cnf( $equal(and(not(t1),Z),and(b,and(t3,Z))) )],[refute_0_5432,refute_0_24970]) ).
cnf(refute_0_24972,plain,
and(b,and(t3,t7)) = and(not(t1),t7),
inference(subst,[],[refute_0_24971:[bind(Z,$fot(t7))]]) ).
cnf(refute_0_24973,plain,
( and(b,and(t3,t7)) != and(not(t1),t7)
| and(not(t1),t7) != and(t7,not(t1))
| and(b,and(t3,t7)) = and(t7,not(t1)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(b,and(t3,t7)))),bind(Y0,$fot(and(not(t1),t7))),bind(Z0,$fot(and(t7,not(t1))))]]) ).
cnf(refute_0_24974,plain,
( and(not(t1),t7) != and(t7,not(t1))
| and(b,and(t3,t7)) = and(t7,not(t1)) ),
inference(resolve,[$cnf( $equal(and(b,and(t3,t7)),and(not(t1),t7)) )],[refute_0_24972,refute_0_24973]) ).
cnf(refute_0_24975,plain,
and(b,and(t3,t7)) = and(t7,not(t1)),
inference(resolve,[$cnf( $equal(and(not(t1),t7),and(t7,not(t1))) )],[refute_0_24969,refute_0_24974]) ).
cnf(refute_0_24976,plain,
( and(b,and(t3,t7)) != and(t7,not(t1))
| not(or(sum,t1)) != and(b,and(t3,t7))
| not(or(sum,t1)) = and(t7,not(t1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(sum,t1)),and(b,and(t3,t7))) ),[1],$fot(and(t7,not(t1)))]]) ).
cnf(refute_0_24977,plain,
( not(or(sum,t1)) != and(b,and(t3,t7))
| not(or(sum,t1)) = and(t7,not(t1)) ),
inference(resolve,[$cnf( $equal(and(b,and(t3,t7)),and(t7,not(t1))) )],[refute_0_24975,refute_0_24976]) ).
cnf(refute_0_24978,plain,
( and(not(t1),not(and(sum,t2))) != and(b,and(t3,t7))
| not(or(sum,t1)) = and(t7,not(t1)) ),
inference(resolve,[$cnf( $equal(not(or(sum,t1)),and(b,and(t3,t7))) )],[refute_0_24968,refute_0_24977]) ).
cnf(refute_0_24979,plain,
not(or(sum,t1)) = and(t7,not(t1)),
inference(resolve,[$cnf( $equal(and(not(t1),not(and(sum,t2))),and(b,and(t3,t7))) )],[refute_0_24927,refute_0_24978]) ).
cnf(refute_0_24980,plain,
( not(or(sum,t1)) != and(t7,not(t1))
| and(t7,not(t1)) = not(or(sum,t1)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(sum,t1)))),bind(Y0,$fot(and(t7,not(t1))))]]) ).
cnf(refute_0_24981,plain,
and(t7,not(t1)) = not(or(sum,t1)),
inference(resolve,[$cnf( $equal(not(or(sum,t1)),and(t7,not(t1))) )],[refute_0_24979,refute_0_24980]) ).
cnf(refute_0_24982,plain,
( and(t7,not(t1)) != not(or(sum,t1))
| not(and(not(t1),t7)) != not(and(t7,not(t1)))
| not(and(not(t1),t7)) = not(not(or(sum,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t1),t7)),not(and(t7,not(t1)))) ),[1,0],$fot(not(or(sum,t1)))]]) ).
cnf(refute_0_24983,plain,
( not(and(not(t1),t7)) != not(and(t7,not(t1)))
| not(and(not(t1),t7)) = not(not(or(sum,t1))) ),
inference(resolve,[$cnf( $equal(and(t7,not(t1)),not(or(sum,t1))) )],[refute_0_24981,refute_0_24982]) ).
cnf(refute_0_24984,plain,
not(and(not(t1),t7)) = not(not(or(sum,t1))),
inference(resolve,[$cnf( $equal(not(and(not(t1),t7)),not(and(t7,not(t1)))) )],[refute_0_17811,refute_0_24983]) ).
cnf(refute_0_24985,plain,
not(and(not(t1),t7)) = or(t1,not(t7)),
inference(subst,[],[refute_0_787:[bind(X,$fot(t1)),bind(X_32,$fot(t7))]]) ).
cnf(refute_0_24986,plain,
( not(and(not(t1),t7)) != not(not(or(sum,t1)))
| not(and(not(t1),t7)) != or(t1,not(t7))
| or(t1,not(t7)) = not(not(or(sum,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(t1),t7)),not(not(or(sum,t1)))) ),[0],$fot(or(t1,not(t7)))]]) ).
cnf(refute_0_24987,plain,
( not(and(not(t1),t7)) != not(not(or(sum,t1)))
| or(t1,not(t7)) = not(not(or(sum,t1))) ),
inference(resolve,[$cnf( $equal(not(and(not(t1),t7)),or(t1,not(t7))) )],[refute_0_24985,refute_0_24986]) ).
cnf(refute_0_24988,plain,
not(not(or(sum,t1))) = or(sum,t1),
inference(subst,[],[not_involution:[bind(X,$fot(or(sum,t1)))]]) ).
cnf(refute_0_24989,plain,
( not(not(or(sum,t1))) != or(sum,t1)
| or(t1,not(t7)) != not(not(or(sum,t1)))
| or(t1,not(t7)) = or(sum,t1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,not(t7)),not(not(or(sum,t1)))) ),[1],$fot(or(sum,t1))]]) ).
cnf(refute_0_24990,plain,
( or(t1,not(t7)) != not(not(or(sum,t1)))
| or(t1,not(t7)) = or(sum,t1) ),
inference(resolve,[$cnf( $equal(not(not(or(sum,t1))),or(sum,t1)) )],[refute_0_24988,refute_0_24989]) ).
cnf(refute_0_24991,plain,
( not(and(not(t1),t7)) != not(not(or(sum,t1)))
| or(t1,not(t7)) = or(sum,t1) ),
inference(resolve,[$cnf( $equal(or(t1,not(t7)),not(not(or(sum,t1)))) )],[refute_0_24987,refute_0_24990]) ).
cnf(refute_0_24992,plain,
or(t1,not(t7)) = or(sum,t1),
inference(resolve,[$cnf( $equal(not(and(not(t1),t7)),not(not(or(sum,t1)))) )],[refute_0_24984,refute_0_24991]) ).
cnf(refute_0_24993,plain,
or(t1,not(Y)) = or(t1,or(not(carry),not(Y))),
inference(subst,[],[refute_0_15119:[bind(X_39,$fot(not(Y)))]]) ).
cnf(refute_0_24994,plain,
not(and(carry,Y)) = or(not(carry),not(Y)),
inference(subst,[],[and_demorgan:[bind(X,$fot(carry))]]) ).
cnf(refute_0_24995,plain,
( not(and(carry,Y)) != or(not(carry),not(Y))
| or(not(carry),not(Y)) = not(and(carry,Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(carry,Y)))),bind(Y0,$fot(or(not(carry),not(Y))))]]) ).
cnf(refute_0_24996,plain,
or(not(carry),not(Y)) = not(and(carry,Y)),
inference(resolve,[$cnf( $equal(not(and(carry,Y)),or(not(carry),not(Y))) )],[refute_0_24994,refute_0_24995]) ).
cnf(refute_0_24997,plain,
( or(not(carry),not(Y)) != not(and(carry,Y))
| or(t1,not(Y)) != or(t1,or(not(carry),not(Y)))
| or(t1,not(Y)) = or(t1,not(and(carry,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,not(Y)),or(t1,or(not(carry),not(Y)))) ),[1,1],$fot(not(and(carry,Y)))]]) ).
cnf(refute_0_24998,plain,
( or(t1,not(Y)) != or(t1,or(not(carry),not(Y)))
| or(t1,not(Y)) = or(t1,not(and(carry,Y))) ),
inference(resolve,[$cnf( $equal(or(not(carry),not(Y)),not(and(carry,Y))) )],[refute_0_24996,refute_0_24997]) ).
cnf(refute_0_24999,plain,
or(t1,not(Y)) = or(t1,not(and(carry,Y))),
inference(resolve,[$cnf( $equal(or(t1,not(Y)),or(t1,or(not(carry),not(Y)))) )],[refute_0_24993,refute_0_24998]) ).
cnf(refute_0_25000,plain,
( or(t1,not(Y)) != or(t1,not(and(carry,Y)))
| or(t1,not(and(carry,Y))) = or(t1,not(Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(t1,not(Y)))),bind(Y0,$fot(or(t1,not(and(carry,Y)))))]]) ).
cnf(refute_0_25001,plain,
or(t1,not(and(carry,Y))) = or(t1,not(Y)),
inference(resolve,[$cnf( $equal(or(t1,not(Y)),or(t1,not(and(carry,Y)))) )],[refute_0_24999,refute_0_25000]) ).
cnf(refute_0_25002,plain,
or(t1,not(and(carry,t7))) = or(t1,not(t7)),
inference(subst,[],[refute_0_25001:[bind(Y,$fot(t7))]]) ).
cnf(refute_0_25003,plain,
( or(t1,not(and(carry,t7))) != or(t1,not(t7))
| or(t1,not(t7)) != or(sum,t1)
| or(t1,not(and(carry,t7))) = or(sum,t1) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t1,not(and(carry,t7))))),bind(Y0,$fot(or(t1,not(t7)))),bind(Z0,$fot(or(sum,t1)))]]) ).
cnf(refute_0_25004,plain,
( or(t1,not(t7)) != or(sum,t1)
| or(t1,not(and(carry,t7))) = or(sum,t1) ),
inference(resolve,[$cnf( $equal(or(t1,not(and(carry,t7))),or(t1,not(t7))) )],[refute_0_25002,refute_0_25003]) ).
cnf(refute_0_25005,plain,
or(t1,not(and(carry,t7))) = or(sum,t1),
inference(resolve,[$cnf( $equal(or(t1,not(t7)),or(sum,t1)) )],[refute_0_24992,refute_0_25004]) ).
cnf(refute_0_25006,plain,
( or(t1,not(and(carry,t7))) != or(sum,t1)
| or(t1,not(and(carry,t7))) != or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin)))))))
| or(sum,t1) = or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin))))))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,not(and(carry,t7))),or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin)))))))) ),[0],$fot(or(sum,t1))]]) ).
cnf(refute_0_25007,plain,
( or(t1,not(and(carry,t7))) != or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin)))))))
| or(sum,t1) = or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin))))))) ),
inference(resolve,[$cnf( $equal(or(t1,not(and(carry,t7))),or(sum,t1)) )],[refute_0_25005,refute_0_25006]) ).
cnf(refute_0_25008,plain,
not(and(or(t1,t7),not(t1))) = not(and(not(t1),or(t1,t7))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(not(t1))),bind(X_32,$fot(or(t1,t7)))]]) ).
cnf(refute_0_25009,plain,
or(and(t3,not(xor(b,or(t1,t7)))),and(not(t3),xor(b,or(t1,t7)))) = xor(t3,xor(b,or(t1,t7))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t3)),bind(Y,$fot(xor(b,or(t1,t7))))]]) ).
cnf(refute_0_25010,plain,
and(or(t3,not(xor(carry,xor(sum,or(carry,t7))))),not(or(not(xor(carry,xor(sum,or(carry,t7)))),t3))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(not(xor(carry,xor(sum,or(carry,t7)))))),bind(X_28,$fot(t3))]]) ).
cnf(refute_0_25011,plain,
ll1 = or(t3,not(xor(t3,and(a,not(xor(t7,or(carry,t7))))))),
inference(subst,[],[refute_0_14371:[bind(X_162,$fot(not(xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_25012,plain,
or(and(a,not(xor(t7,or(carry,t7)))),and(not(a),xor(t7,or(carry,t7)))) = xor(a,xor(t7,or(carry,t7))),
inference(subst,[],[refute_0_9:[bind(X,$fot(a)),bind(Y,$fot(xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_25013,plain,
and(or(a,not(xor(t7,or(carry,t7)))),not(or(not(xor(t7,or(carry,t7))),a))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(not(xor(t7,or(carry,t7))))),bind(X_28,$fot(a))]]) ).
cnf(refute_0_25014,plain,
or(a,not(xor(t7,or(carry,t7)))) = or(a,not(and(t1,xor(t7,or(carry,t7))))),
inference(subst,[],[refute_0_2972:[bind(Y,$fot(xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_25015,plain,
( and(t1,xor(t7,or(carry,t7))) != ll0
| or(a,not(xor(t7,or(carry,t7)))) != or(a,not(and(t1,xor(t7,or(carry,t7)))))
| or(a,not(xor(t7,or(carry,t7)))) = or(a,not(ll0)) ),
introduced(tautology,[equality,[$cnf( $equal(or(a,not(xor(t7,or(carry,t7)))),or(a,not(and(t1,xor(t7,or(carry,t7)))))) ),[1,1,0],$fot(ll0)]]) ).
cnf(refute_0_25016,plain,
( or(a,not(xor(t7,or(carry,t7)))) != or(a,not(and(t1,xor(t7,or(carry,t7)))))
| or(a,not(xor(t7,or(carry,t7)))) = or(a,not(ll0)) ),
inference(resolve,[$cnf( $equal(and(t1,xor(t7,or(carry,t7))),ll0) )],[refute_0_12022,refute_0_25015]) ).
cnf(refute_0_25017,plain,
or(a,not(xor(t7,or(carry,t7)))) = or(a,not(ll0)),
inference(resolve,[$cnf( $equal(or(a,not(xor(t7,or(carry,t7)))),or(a,not(and(t1,xor(t7,or(carry,t7)))))) )],[refute_0_25014,refute_0_25016]) ).
cnf(refute_0_25018,plain,
or(a,not(ll0)) = or(a,not(ll0)),
introduced(tautology,[refl,[$fot(or(a,not(ll0)))]]) ).
cnf(refute_0_25019,plain,
( not(ll0) != ll1
| or(a,not(ll0)) != or(a,not(ll0))
| or(a,not(ll0)) = or(a,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(a,not(ll0)),or(a,not(ll0))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_25020,plain,
( not(ll0) != ll1
| or(a,not(ll0)) = or(a,ll1) ),
inference(resolve,[$cnf( $equal(or(a,not(ll0)),or(a,not(ll0))) )],[refute_0_25018,refute_0_25019]) ).
cnf(refute_0_25021,plain,
or(a,not(ll0)) = or(a,ll1),
inference(resolve,[$cnf( $equal(not(ll0),ll1) )],[ll0_inverse,refute_0_25020]) ).
cnf(refute_0_25022,plain,
( or(a,ll1) != ll1
| or(a,not(ll0)) != or(a,ll1)
| or(a,not(ll0)) = ll1 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(a,not(ll0)))),bind(Y0,$fot(or(a,ll1))),bind(Z0,$fot(ll1))]]) ).
cnf(refute_0_25023,plain,
( or(a,ll1) != ll1
| or(a,not(ll0)) = ll1 ),
inference(resolve,[$cnf( $equal(or(a,not(ll0)),or(a,ll1)) )],[refute_0_25021,refute_0_25022]) ).
cnf(refute_0_25024,plain,
or(a,not(ll0)) = ll1,
inference(resolve,[$cnf( $equal(or(a,ll1),ll1) )],[refute_0_3290,refute_0_25023]) ).
cnf(refute_0_25025,plain,
( or(a,not(ll0)) != ll1
| or(a,not(xor(t7,or(carry,t7)))) != or(a,not(ll0))
| or(a,not(xor(t7,or(carry,t7)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(a,not(xor(t7,or(carry,t7)))),or(a,not(ll0))) ),[1],$fot(ll1)]]) ).
cnf(refute_0_25026,plain,
( or(a,not(xor(t7,or(carry,t7)))) != or(a,not(ll0))
| or(a,not(xor(t7,or(carry,t7)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(a,not(ll0)),ll1) )],[refute_0_25024,refute_0_25025]) ).
cnf(refute_0_25027,plain,
or(a,not(xor(t7,or(carry,t7)))) = ll1,
inference(resolve,[$cnf( $equal(or(a,not(xor(t7,or(carry,t7)))),or(a,not(ll0))) )],[refute_0_25017,refute_0_25026]) ).
cnf(refute_0_25028,plain,
( and(or(a,not(xor(t7,or(carry,t7)))),not(or(not(xor(t7,or(carry,t7))),a))) != ll0
| or(a,not(xor(t7,or(carry,t7)))) != ll1
| and(ll1,not(or(not(xor(t7,or(carry,t7))),a))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(a,not(xor(t7,or(carry,t7)))),not(or(not(xor(t7,or(carry,t7))),a))),ll0) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_25029,plain,
( and(or(a,not(xor(t7,or(carry,t7)))),not(or(not(xor(t7,or(carry,t7))),a))) != ll0
| and(ll1,not(or(not(xor(t7,or(carry,t7))),a))) = ll0 ),
inference(resolve,[$cnf( $equal(or(a,not(xor(t7,or(carry,t7)))),ll1) )],[refute_0_25027,refute_0_25028]) ).
cnf(refute_0_25030,plain,
and(ll1,not(or(not(xor(t7,or(carry,t7))),a))) = ll0,
inference(resolve,[$cnf( $equal(and(or(a,not(xor(t7,or(carry,t7)))),not(or(not(xor(t7,or(carry,t7))),a))),ll0) )],[refute_0_25013,refute_0_25029]) ).
cnf(refute_0_25031,plain,
not(or(a,not(xor(t7,or(carry,t7))))) = and(not(a),xor(t7,or(carry,t7))),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(t7,or(carry,t7)))),bind(X_25,$fot(a))]]) ).
cnf(refute_0_25032,plain,
and(ll1,not(or(a,not(xor(t7,or(carry,t7)))))) = not(or(a,not(xor(t7,or(carry,t7))))),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(or(a,not(xor(t7,or(carry,t7)))))))]]) ).
cnf(refute_0_25033,plain,
( and(ll1,not(or(a,not(xor(t7,or(carry,t7)))))) != not(or(a,not(xor(t7,or(carry,t7)))))
| not(or(a,not(xor(t7,or(carry,t7))))) != and(not(a),xor(t7,or(carry,t7)))
| and(ll1,not(or(a,not(xor(t7,or(carry,t7)))))) = and(not(a),xor(t7,or(carry,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(a,not(xor(t7,or(carry,t7)))))))),bind(Y0,$fot(not(or(a,not(xor(t7,or(carry,t7))))))),bind(Z0,$fot(and(not(a),xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_25034,plain,
( not(or(a,not(xor(t7,or(carry,t7))))) != and(not(a),xor(t7,or(carry,t7)))
| and(ll1,not(or(a,not(xor(t7,or(carry,t7)))))) = and(not(a),xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(a,not(xor(t7,or(carry,t7)))))),not(or(a,not(xor(t7,or(carry,t7)))))) )],[refute_0_25032,refute_0_25033]) ).
cnf(refute_0_25035,plain,
and(ll1,not(or(a,not(xor(t7,or(carry,t7)))))) = and(not(a),xor(t7,or(carry,t7))),
inference(resolve,[$cnf( $equal(not(or(a,not(xor(t7,or(carry,t7))))),and(not(a),xor(t7,or(carry,t7)))) )],[refute_0_25031,refute_0_25034]) ).
cnf(refute_0_25036,plain,
and(ll1,not(or(not(xor(t7,or(carry,t7))),a))) = and(ll1,not(or(a,not(xor(t7,or(carry,t7)))))),
inference(subst,[],[refute_0_815:[bind(X_25,$fot(a)),bind(X_26,$fot(not(xor(t7,or(carry,t7))))),bind(X_29,$fot(ll1))]]) ).
cnf(refute_0_25037,plain,
( and(ll1,not(or(a,not(xor(t7,or(carry,t7)))))) != and(not(a),xor(t7,or(carry,t7)))
| and(ll1,not(or(not(xor(t7,or(carry,t7))),a))) != and(ll1,not(or(a,not(xor(t7,or(carry,t7))))))
| and(ll1,not(or(not(xor(t7,or(carry,t7))),a))) = and(not(a),xor(t7,or(carry,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(xor(t7,or(carry,t7))),a))))),bind(Y0,$fot(and(ll1,not(or(a,not(xor(t7,or(carry,t7)))))))),bind(Z0,$fot(and(not(a),xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_25038,plain,
( and(ll1,not(or(a,not(xor(t7,or(carry,t7)))))) != and(not(a),xor(t7,or(carry,t7)))
| and(ll1,not(or(not(xor(t7,or(carry,t7))),a))) = and(not(a),xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t7,or(carry,t7))),a))),and(ll1,not(or(a,not(xor(t7,or(carry,t7))))))) )],[refute_0_25036,refute_0_25037]) ).
cnf(refute_0_25039,plain,
and(ll1,not(or(not(xor(t7,or(carry,t7))),a))) = and(not(a),xor(t7,or(carry,t7))),
inference(resolve,[$cnf( $equal(and(ll1,not(or(a,not(xor(t7,or(carry,t7)))))),and(not(a),xor(t7,or(carry,t7)))) )],[refute_0_25035,refute_0_25038]) ).
cnf(refute_0_25040,plain,
( and(ll1,not(or(not(xor(t7,or(carry,t7))),a))) != and(not(a),xor(t7,or(carry,t7)))
| and(ll1,not(or(not(xor(t7,or(carry,t7))),a))) != ll0
| and(not(a),xor(t7,or(carry,t7))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(ll1,not(or(not(xor(t7,or(carry,t7))),a))),ll0) ),[0],$fot(and(not(a),xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_25041,plain,
( and(ll1,not(or(not(xor(t7,or(carry,t7))),a))) != ll0
| and(not(a),xor(t7,or(carry,t7))) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t7,or(carry,t7))),a))),and(not(a),xor(t7,or(carry,t7)))) )],[refute_0_25039,refute_0_25040]) ).
cnf(refute_0_25042,plain,
and(not(a),xor(t7,or(carry,t7))) = ll0,
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t7,or(carry,t7))),a))),ll0) )],[refute_0_25030,refute_0_25041]) ).
cnf(refute_0_25043,plain,
( and(not(a),xor(t7,or(carry,t7))) != ll0
| or(and(a,not(xor(t7,or(carry,t7)))),and(not(a),xor(t7,or(carry,t7)))) != xor(a,xor(t7,or(carry,t7)))
| or(and(a,not(xor(t7,or(carry,t7)))),ll0) = xor(a,xor(t7,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(a,not(xor(t7,or(carry,t7)))),and(not(a),xor(t7,or(carry,t7)))),xor(a,xor(t7,or(carry,t7)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_25044,plain,
( or(and(a,not(xor(t7,or(carry,t7)))),and(not(a),xor(t7,or(carry,t7)))) != xor(a,xor(t7,or(carry,t7)))
| or(and(a,not(xor(t7,or(carry,t7)))),ll0) = xor(a,xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(not(a),xor(t7,or(carry,t7))),ll0) )],[refute_0_25042,refute_0_25043]) ).
cnf(refute_0_25045,plain,
or(and(a,not(xor(t7,or(carry,t7)))),ll0) = xor(a,xor(t7,or(carry,t7))),
inference(resolve,[$cnf( $equal(or(and(a,not(xor(t7,or(carry,t7)))),and(not(a),xor(t7,or(carry,t7)))),xor(a,xor(t7,or(carry,t7)))) )],[refute_0_25012,refute_0_25044]) ).
cnf(refute_0_25046,plain,
or(and(a,not(xor(t7,or(carry,t7)))),ll0) = and(a,not(xor(t7,or(carry,t7)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(a,not(xor(t7,or(carry,t7))))))]]) ).
cnf(refute_0_25047,plain,
( or(and(a,not(xor(t7,or(carry,t7)))),ll0) != and(a,not(xor(t7,or(carry,t7))))
| or(and(a,not(xor(t7,or(carry,t7)))),ll0) != xor(a,xor(t7,or(carry,t7)))
| and(a,not(xor(t7,or(carry,t7)))) = xor(a,xor(t7,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(a,not(xor(t7,or(carry,t7)))),ll0),xor(a,xor(t7,or(carry,t7)))) ),[0],$fot(and(a,not(xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_25048,plain,
( or(and(a,not(xor(t7,or(carry,t7)))),ll0) != xor(a,xor(t7,or(carry,t7)))
| and(a,not(xor(t7,or(carry,t7)))) = xor(a,xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(or(and(a,not(xor(t7,or(carry,t7)))),ll0),and(a,not(xor(t7,or(carry,t7))))) )],[refute_0_25046,refute_0_25047]) ).
cnf(refute_0_25049,plain,
and(a,not(xor(t7,or(carry,t7)))) = xor(a,xor(t7,or(carry,t7))),
inference(resolve,[$cnf( $equal(or(and(a,not(xor(t7,or(carry,t7)))),ll0),xor(a,xor(t7,or(carry,t7)))) )],[refute_0_25045,refute_0_25048]) ).
cnf(refute_0_25050,plain,
( and(a,not(xor(t7,or(carry,t7)))) != xor(a,xor(t7,or(carry,t7)))
| ll1 != or(t3,not(xor(t3,and(a,not(xor(t7,or(carry,t7)))))))
| ll1 = or(t3,not(xor(t3,xor(a,xor(t7,or(carry,t7)))))) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t3,not(xor(t3,and(a,not(xor(t7,or(carry,t7)))))))) ),[1,1,0,1],$fot(xor(a,xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_25051,plain,
( ll1 != or(t3,not(xor(t3,and(a,not(xor(t7,or(carry,t7)))))))
| ll1 = or(t3,not(xor(t3,xor(a,xor(t7,or(carry,t7)))))) ),
inference(resolve,[$cnf( $equal(and(a,not(xor(t7,or(carry,t7)))),xor(a,xor(t7,or(carry,t7)))) )],[refute_0_25049,refute_0_25050]) ).
cnf(refute_0_25052,plain,
ll1 = or(t3,not(xor(t3,xor(a,xor(t7,or(carry,t7)))))),
inference(resolve,[$cnf( $equal(ll1,or(t3,not(xor(t3,and(a,not(xor(t7,or(carry,t7)))))))) )],[refute_0_25011,refute_0_25051]) ).
cnf(refute_0_25053,plain,
xor(a,xor(t3,xor(t7,or(carry,t7)))) = xor(carry,xor(sum,or(carry,t7))),
inference(subst,[],[refute_0_4908:[bind(Z,$fot(or(carry,t7)))]]) ).
cnf(refute_0_25054,plain,
xor(t3,xor(a,xor(t7,or(carry,t7)))) = xor(a,xor(t3,xor(t7,or(carry,t7)))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(a)),bind(X_334,$fot(t3)),bind(X_335,$fot(xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_25055,plain,
( xor(a,xor(t3,xor(t7,or(carry,t7)))) != xor(carry,xor(sum,or(carry,t7)))
| xor(t3,xor(a,xor(t7,or(carry,t7)))) != xor(a,xor(t3,xor(t7,or(carry,t7))))
| xor(t3,xor(a,xor(t7,or(carry,t7)))) = xor(carry,xor(sum,or(carry,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t3,xor(a,xor(t7,or(carry,t7)))))),bind(Y0,$fot(xor(a,xor(t3,xor(t7,or(carry,t7)))))),bind(Z0,$fot(xor(carry,xor(sum,or(carry,t7)))))]]) ).
cnf(refute_0_25056,plain,
( xor(a,xor(t3,xor(t7,or(carry,t7)))) != xor(carry,xor(sum,or(carry,t7)))
| xor(t3,xor(a,xor(t7,or(carry,t7)))) = xor(carry,xor(sum,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(a,xor(t7,or(carry,t7)))),xor(a,xor(t3,xor(t7,or(carry,t7))))) )],[refute_0_25054,refute_0_25055]) ).
cnf(refute_0_25057,plain,
xor(t3,xor(a,xor(t7,or(carry,t7)))) = xor(carry,xor(sum,or(carry,t7))),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,xor(t7,or(carry,t7)))),xor(carry,xor(sum,or(carry,t7)))) )],[refute_0_25053,refute_0_25056]) ).
cnf(refute_0_25058,plain,
not(xor(t3,xor(a,xor(t7,or(carry,t7))))) = not(xor(t3,xor(a,xor(t7,or(carry,t7))))),
introduced(tautology,[refl,[$fot(not(xor(t3,xor(a,xor(t7,or(carry,t7))))))]]) ).
cnf(refute_0_25059,plain,
( not(xor(t3,xor(a,xor(t7,or(carry,t7))))) != not(xor(t3,xor(a,xor(t7,or(carry,t7)))))
| xor(t3,xor(a,xor(t7,or(carry,t7)))) != xor(carry,xor(sum,or(carry,t7)))
| not(xor(t3,xor(a,xor(t7,or(carry,t7))))) = not(xor(carry,xor(sum,or(carry,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t3,xor(a,xor(t7,or(carry,t7))))),not(xor(t3,xor(a,xor(t7,or(carry,t7)))))) ),[1,0],$fot(xor(carry,xor(sum,or(carry,t7))))]]) ).
cnf(refute_0_25060,plain,
( xor(t3,xor(a,xor(t7,or(carry,t7)))) != xor(carry,xor(sum,or(carry,t7)))
| not(xor(t3,xor(a,xor(t7,or(carry,t7))))) = not(xor(carry,xor(sum,or(carry,t7)))) ),
inference(resolve,[$cnf( $equal(not(xor(t3,xor(a,xor(t7,or(carry,t7))))),not(xor(t3,xor(a,xor(t7,or(carry,t7)))))) )],[refute_0_25058,refute_0_25059]) ).
cnf(refute_0_25061,plain,
not(xor(t3,xor(a,xor(t7,or(carry,t7))))) = not(xor(carry,xor(sum,or(carry,t7)))),
inference(resolve,[$cnf( $equal(xor(t3,xor(a,xor(t7,or(carry,t7)))),xor(carry,xor(sum,or(carry,t7)))) )],[refute_0_25057,refute_0_25060]) ).
cnf(refute_0_25062,plain,
or(t3,not(xor(t3,xor(a,xor(t7,or(carry,t7)))))) = or(t3,not(xor(t3,xor(a,xor(t7,or(carry,t7)))))),
introduced(tautology,[refl,[$fot(or(t3,not(xor(t3,xor(a,xor(t7,or(carry,t7)))))))]]) ).
cnf(refute_0_25063,plain,
( not(xor(t3,xor(a,xor(t7,or(carry,t7))))) != not(xor(carry,xor(sum,or(carry,t7))))
| or(t3,not(xor(t3,xor(a,xor(t7,or(carry,t7)))))) != or(t3,not(xor(t3,xor(a,xor(t7,or(carry,t7))))))
| or(t3,not(xor(t3,xor(a,xor(t7,or(carry,t7)))))) = or(t3,not(xor(carry,xor(sum,or(carry,t7))))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t3,not(xor(t3,xor(a,xor(t7,or(carry,t7)))))),or(t3,not(xor(t3,xor(a,xor(t7,or(carry,t7))))))) ),[1,1],$fot(not(xor(carry,xor(sum,or(carry,t7)))))]]) ).
cnf(refute_0_25064,plain,
( not(xor(t3,xor(a,xor(t7,or(carry,t7))))) != not(xor(carry,xor(sum,or(carry,t7))))
| or(t3,not(xor(t3,xor(a,xor(t7,or(carry,t7)))))) = or(t3,not(xor(carry,xor(sum,or(carry,t7))))) ),
inference(resolve,[$cnf( $equal(or(t3,not(xor(t3,xor(a,xor(t7,or(carry,t7)))))),or(t3,not(xor(t3,xor(a,xor(t7,or(carry,t7))))))) )],[refute_0_25062,refute_0_25063]) ).
cnf(refute_0_25065,plain,
or(t3,not(xor(t3,xor(a,xor(t7,or(carry,t7)))))) = or(t3,not(xor(carry,xor(sum,or(carry,t7))))),
inference(resolve,[$cnf( $equal(not(xor(t3,xor(a,xor(t7,or(carry,t7))))),not(xor(carry,xor(sum,or(carry,t7))))) )],[refute_0_25061,refute_0_25064]) ).
cnf(refute_0_25066,plain,
( ll1 != or(t3,not(xor(t3,xor(a,xor(t7,or(carry,t7))))))
| or(t3,not(xor(t3,xor(a,xor(t7,or(carry,t7)))))) != or(t3,not(xor(carry,xor(sum,or(carry,t7)))))
| ll1 = or(t3,not(xor(carry,xor(sum,or(carry,t7))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll1,or(t3,not(xor(carry,xor(sum,or(carry,t7)))))) ),[0],$fot(or(t3,not(xor(t3,xor(a,xor(t7,or(carry,t7)))))))]]) ).
cnf(refute_0_25067,plain,
( ll1 != or(t3,not(xor(t3,xor(a,xor(t7,or(carry,t7))))))
| ll1 = or(t3,not(xor(carry,xor(sum,or(carry,t7))))) ),
inference(resolve,[$cnf( $equal(or(t3,not(xor(t3,xor(a,xor(t7,or(carry,t7)))))),or(t3,not(xor(carry,xor(sum,or(carry,t7)))))) )],[refute_0_25065,refute_0_25066]) ).
cnf(refute_0_25068,plain,
ll1 = or(t3,not(xor(carry,xor(sum,or(carry,t7))))),
inference(resolve,[$cnf( $equal(ll1,or(t3,not(xor(t3,xor(a,xor(t7,or(carry,t7))))))) )],[refute_0_25052,refute_0_25067]) ).
cnf(refute_0_25069,plain,
( ll1 != or(t3,not(xor(carry,xor(sum,or(carry,t7)))))
| or(t3,not(xor(carry,xor(sum,or(carry,t7))))) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(t3,not(xor(carry,xor(sum,or(carry,t7)))))))]]) ).
cnf(refute_0_25070,plain,
or(t3,not(xor(carry,xor(sum,or(carry,t7))))) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(t3,not(xor(carry,xor(sum,or(carry,t7)))))) )],[refute_0_25068,refute_0_25069]) ).
cnf(refute_0_25071,plain,
( and(or(t3,not(xor(carry,xor(sum,or(carry,t7))))),not(or(not(xor(carry,xor(sum,or(carry,t7)))),t3))) != ll0
| or(t3,not(xor(carry,xor(sum,or(carry,t7))))) != ll1
| and(ll1,not(or(not(xor(carry,xor(sum,or(carry,t7)))),t3))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(t3,not(xor(carry,xor(sum,or(carry,t7))))),not(or(not(xor(carry,xor(sum,or(carry,t7)))),t3))),ll0) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_25072,plain,
( and(or(t3,not(xor(carry,xor(sum,or(carry,t7))))),not(or(not(xor(carry,xor(sum,or(carry,t7)))),t3))) != ll0
| and(ll1,not(or(not(xor(carry,xor(sum,or(carry,t7)))),t3))) = ll0 ),
inference(resolve,[$cnf( $equal(or(t3,not(xor(carry,xor(sum,or(carry,t7))))),ll1) )],[refute_0_25070,refute_0_25071]) ).
cnf(refute_0_25073,plain,
and(ll1,not(or(not(xor(carry,xor(sum,or(carry,t7)))),t3))) = ll0,
inference(resolve,[$cnf( $equal(and(or(t3,not(xor(carry,xor(sum,or(carry,t7))))),not(or(not(xor(carry,xor(sum,or(carry,t7)))),t3))),ll0) )],[refute_0_25010,refute_0_25072]) ).
cnf(refute_0_25074,plain,
not(or(t3,not(xor(carry,xor(sum,or(carry,t7)))))) = and(not(t3),xor(carry,xor(sum,or(carry,t7)))),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(carry,xor(sum,or(carry,t7))))),bind(X_25,$fot(t3))]]) ).
cnf(refute_0_25075,plain,
and(ll1,not(or(t3,not(xor(carry,xor(sum,or(carry,t7))))))) = not(or(t3,not(xor(carry,xor(sum,or(carry,t7)))))),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(or(t3,not(xor(carry,xor(sum,or(carry,t7))))))))]]) ).
cnf(refute_0_25076,plain,
( and(ll1,not(or(t3,not(xor(carry,xor(sum,or(carry,t7))))))) != not(or(t3,not(xor(carry,xor(sum,or(carry,t7))))))
| not(or(t3,not(xor(carry,xor(sum,or(carry,t7)))))) != and(not(t3),xor(carry,xor(sum,or(carry,t7))))
| and(ll1,not(or(t3,not(xor(carry,xor(sum,or(carry,t7))))))) = and(not(t3),xor(carry,xor(sum,or(carry,t7)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(t3,not(xor(carry,xor(sum,or(carry,t7))))))))),bind(Y0,$fot(not(or(t3,not(xor(carry,xor(sum,or(carry,t7)))))))),bind(Z0,$fot(and(not(t3),xor(carry,xor(sum,or(carry,t7))))))]]) ).
cnf(refute_0_25077,plain,
( not(or(t3,not(xor(carry,xor(sum,or(carry,t7)))))) != and(not(t3),xor(carry,xor(sum,or(carry,t7))))
| and(ll1,not(or(t3,not(xor(carry,xor(sum,or(carry,t7))))))) = and(not(t3),xor(carry,xor(sum,or(carry,t7)))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t3,not(xor(carry,xor(sum,or(carry,t7))))))),not(or(t3,not(xor(carry,xor(sum,or(carry,t7))))))) )],[refute_0_25075,refute_0_25076]) ).
cnf(refute_0_25078,plain,
and(ll1,not(or(t3,not(xor(carry,xor(sum,or(carry,t7))))))) = and(not(t3),xor(carry,xor(sum,or(carry,t7)))),
inference(resolve,[$cnf( $equal(not(or(t3,not(xor(carry,xor(sum,or(carry,t7)))))),and(not(t3),xor(carry,xor(sum,or(carry,t7))))) )],[refute_0_25074,refute_0_25077]) ).
cnf(refute_0_25079,plain,
and(ll1,not(or(not(xor(carry,xor(sum,or(carry,t7)))),t3))) = and(ll1,not(or(t3,not(xor(carry,xor(sum,or(carry,t7))))))),
inference(subst,[],[refute_0_815:[bind(X_25,$fot(t3)),bind(X_26,$fot(not(xor(carry,xor(sum,or(carry,t7)))))),bind(X_29,$fot(ll1))]]) ).
cnf(refute_0_25080,plain,
( and(ll1,not(or(not(xor(carry,xor(sum,or(carry,t7)))),t3))) != and(ll1,not(or(t3,not(xor(carry,xor(sum,or(carry,t7)))))))
| and(ll1,not(or(t3,not(xor(carry,xor(sum,or(carry,t7))))))) != and(not(t3),xor(carry,xor(sum,or(carry,t7))))
| and(ll1,not(or(not(xor(carry,xor(sum,or(carry,t7)))),t3))) = and(not(t3),xor(carry,xor(sum,or(carry,t7)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(xor(carry,xor(sum,or(carry,t7)))),t3))))),bind(Y0,$fot(and(ll1,not(or(t3,not(xor(carry,xor(sum,or(carry,t7))))))))),bind(Z0,$fot(and(not(t3),xor(carry,xor(sum,or(carry,t7))))))]]) ).
cnf(refute_0_25081,plain,
( and(ll1,not(or(t3,not(xor(carry,xor(sum,or(carry,t7))))))) != and(not(t3),xor(carry,xor(sum,or(carry,t7))))
| and(ll1,not(or(not(xor(carry,xor(sum,or(carry,t7)))),t3))) = and(not(t3),xor(carry,xor(sum,or(carry,t7)))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(carry,xor(sum,or(carry,t7)))),t3))),and(ll1,not(or(t3,not(xor(carry,xor(sum,or(carry,t7)))))))) )],[refute_0_25079,refute_0_25080]) ).
cnf(refute_0_25082,plain,
and(ll1,not(or(not(xor(carry,xor(sum,or(carry,t7)))),t3))) = and(not(t3),xor(carry,xor(sum,or(carry,t7)))),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t3,not(xor(carry,xor(sum,or(carry,t7))))))),and(not(t3),xor(carry,xor(sum,or(carry,t7))))) )],[refute_0_25078,refute_0_25081]) ).
cnf(refute_0_25083,plain,
( and(ll1,not(or(not(xor(carry,xor(sum,or(carry,t7)))),t3))) != and(not(t3),xor(carry,xor(sum,or(carry,t7))))
| and(ll1,not(or(not(xor(carry,xor(sum,or(carry,t7)))),t3))) != ll0
| and(not(t3),xor(carry,xor(sum,or(carry,t7)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(ll1,not(or(not(xor(carry,xor(sum,or(carry,t7)))),t3))),ll0) ),[0],$fot(and(not(t3),xor(carry,xor(sum,or(carry,t7)))))]]) ).
cnf(refute_0_25084,plain,
( and(ll1,not(or(not(xor(carry,xor(sum,or(carry,t7)))),t3))) != ll0
| and(not(t3),xor(carry,xor(sum,or(carry,t7)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(carry,xor(sum,or(carry,t7)))),t3))),and(not(t3),xor(carry,xor(sum,or(carry,t7))))) )],[refute_0_25082,refute_0_25083]) ).
cnf(refute_0_25085,plain,
and(not(t3),xor(carry,xor(sum,or(carry,t7)))) = ll0,
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(carry,xor(sum,or(carry,t7)))),t3))),ll0) )],[refute_0_25073,refute_0_25084]) ).
cnf(refute_0_25086,plain,
xor(carry,xor(sum,or(carry,t7))) = xor(carry,xor(sum,or(carry,t7))),
introduced(tautology,[refl,[$fot(xor(carry,xor(sum,or(carry,t7))))]]) ).
cnf(refute_0_25087,plain,
( xor(carry,xor(sum,or(carry,t7))) != xor(carry,xor(sum,or(carry,t7)))
| xor(sum,or(carry,t7)) != xor(sum,or(a,t7))
| xor(carry,xor(sum,or(carry,t7))) = xor(carry,xor(sum,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(sum,or(carry,t7))),xor(carry,xor(sum,or(carry,t7)))) ),[1,1],$fot(xor(sum,or(a,t7)))]]) ).
cnf(refute_0_25088,plain,
( xor(sum,or(carry,t7)) != xor(sum,or(a,t7))
| xor(carry,xor(sum,or(carry,t7))) = xor(carry,xor(sum,or(a,t7))) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(sum,or(carry,t7))),xor(carry,xor(sum,or(carry,t7)))) )],[refute_0_25086,refute_0_25087]) ).
cnf(refute_0_25089,plain,
xor(carry,xor(sum,or(carry,t7))) = xor(carry,xor(sum,or(a,t7))),
inference(resolve,[$cnf( $equal(xor(sum,or(carry,t7)),xor(sum,or(a,t7))) )],[refute_0_9458,refute_0_25088]) ).
cnf(refute_0_25090,plain,
and(not(t3),xor(carry,xor(sum,or(carry,t7)))) = and(not(t3),xor(carry,xor(sum,or(carry,t7)))),
introduced(tautology,[refl,[$fot(and(not(t3),xor(carry,xor(sum,or(carry,t7)))))]]) ).
cnf(refute_0_25091,plain,
( and(not(t3),xor(carry,xor(sum,or(carry,t7)))) != and(not(t3),xor(carry,xor(sum,or(carry,t7))))
| xor(carry,xor(sum,or(carry,t7))) != xor(carry,xor(sum,or(a,t7)))
| and(not(t3),xor(carry,xor(sum,or(carry,t7)))) = and(not(t3),xor(carry,xor(sum,or(a,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t3),xor(carry,xor(sum,or(carry,t7)))),and(not(t3),xor(carry,xor(sum,or(carry,t7))))) ),[1,1],$fot(xor(carry,xor(sum,or(a,t7))))]]) ).
cnf(refute_0_25092,plain,
( xor(carry,xor(sum,or(carry,t7))) != xor(carry,xor(sum,or(a,t7)))
| and(not(t3),xor(carry,xor(sum,or(carry,t7)))) = and(not(t3),xor(carry,xor(sum,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(and(not(t3),xor(carry,xor(sum,or(carry,t7)))),and(not(t3),xor(carry,xor(sum,or(carry,t7))))) )],[refute_0_25090,refute_0_25091]) ).
cnf(refute_0_25093,plain,
and(not(t3),xor(carry,xor(sum,or(carry,t7)))) = and(not(t3),xor(carry,xor(sum,or(a,t7)))),
inference(resolve,[$cnf( $equal(xor(carry,xor(sum,or(carry,t7))),xor(carry,xor(sum,or(a,t7)))) )],[refute_0_25089,refute_0_25092]) ).
cnf(refute_0_25094,plain,
( and(not(t3),xor(carry,xor(sum,or(carry,t7)))) != and(not(t3),xor(carry,xor(sum,or(a,t7))))
| and(not(t3),xor(carry,xor(sum,or(carry,t7)))) != ll0
| and(not(t3),xor(carry,xor(sum,or(a,t7)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t3),xor(carry,xor(sum,or(carry,t7)))),ll0) ),[0],$fot(and(not(t3),xor(carry,xor(sum,or(a,t7)))))]]) ).
cnf(refute_0_25095,plain,
( and(not(t3),xor(carry,xor(sum,or(carry,t7)))) != ll0
| and(not(t3),xor(carry,xor(sum,or(a,t7)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(not(t3),xor(carry,xor(sum,or(carry,t7)))),and(not(t3),xor(carry,xor(sum,or(a,t7))))) )],[refute_0_25093,refute_0_25094]) ).
cnf(refute_0_25096,plain,
and(not(t3),xor(carry,xor(sum,or(a,t7)))) = ll0,
inference(resolve,[$cnf( $equal(and(not(t3),xor(carry,xor(sum,or(carry,t7)))),ll0) )],[refute_0_25085,refute_0_25095]) ).
cnf(refute_0_25097,plain,
xor(carry,xor(sum,or(a,t7))) = xor(carry,xor(sum,or(a,t7))),
introduced(tautology,[refl,[$fot(xor(carry,xor(sum,or(a,t7))))]]) ).
cnf(refute_0_25098,plain,
( xor(carry,xor(sum,or(a,t7))) != xor(carry,xor(sum,or(a,t7)))
| xor(sum,or(a,t7)) != and(t6,or(t1,t7))
| xor(carry,xor(sum,or(a,t7))) = xor(carry,and(t6,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(sum,or(a,t7))),xor(carry,xor(sum,or(a,t7)))) ),[1,1],$fot(and(t6,or(t1,t7)))]]) ).
cnf(refute_0_25099,plain,
( xor(sum,or(a,t7)) != and(t6,or(t1,t7))
| xor(carry,xor(sum,or(a,t7))) = xor(carry,and(t6,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(sum,or(a,t7))),xor(carry,xor(sum,or(a,t7)))) )],[refute_0_25097,refute_0_25098]) ).
cnf(refute_0_25100,plain,
xor(carry,xor(sum,or(a,t7))) = xor(carry,and(t6,or(t1,t7))),
inference(resolve,[$cnf( $equal(xor(sum,or(a,t7)),and(t6,or(t1,t7))) )],[refute_0_10985,refute_0_25099]) ).
cnf(refute_0_25101,plain,
and(not(t3),xor(carry,xor(sum,or(a,t7)))) = and(not(t3),xor(carry,xor(sum,or(a,t7)))),
introduced(tautology,[refl,[$fot(and(not(t3),xor(carry,xor(sum,or(a,t7)))))]]) ).
cnf(refute_0_25102,plain,
( and(not(t3),xor(carry,xor(sum,or(a,t7)))) != and(not(t3),xor(carry,xor(sum,or(a,t7))))
| xor(carry,xor(sum,or(a,t7))) != xor(carry,and(t6,or(t1,t7)))
| and(not(t3),xor(carry,xor(sum,or(a,t7)))) = and(not(t3),xor(carry,and(t6,or(t1,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t3),xor(carry,xor(sum,or(a,t7)))),and(not(t3),xor(carry,xor(sum,or(a,t7))))) ),[1,1],$fot(xor(carry,and(t6,or(t1,t7))))]]) ).
cnf(refute_0_25103,plain,
( xor(carry,xor(sum,or(a,t7))) != xor(carry,and(t6,or(t1,t7)))
| and(not(t3),xor(carry,xor(sum,or(a,t7)))) = and(not(t3),xor(carry,and(t6,or(t1,t7)))) ),
inference(resolve,[$cnf( $equal(and(not(t3),xor(carry,xor(sum,or(a,t7)))),and(not(t3),xor(carry,xor(sum,or(a,t7))))) )],[refute_0_25101,refute_0_25102]) ).
cnf(refute_0_25104,plain,
and(not(t3),xor(carry,xor(sum,or(a,t7)))) = and(not(t3),xor(carry,and(t6,or(t1,t7)))),
inference(resolve,[$cnf( $equal(xor(carry,xor(sum,or(a,t7))),xor(carry,and(t6,or(t1,t7)))) )],[refute_0_25100,refute_0_25103]) ).
cnf(refute_0_25105,plain,
( and(not(t3),xor(carry,xor(sum,or(a,t7)))) != and(not(t3),xor(carry,and(t6,or(t1,t7))))
| and(not(t3),xor(carry,xor(sum,or(a,t7)))) != ll0
| and(not(t3),xor(carry,and(t6,or(t1,t7)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t3),xor(carry,xor(sum,or(a,t7)))),ll0) ),[0],$fot(and(not(t3),xor(carry,and(t6,or(t1,t7)))))]]) ).
cnf(refute_0_25106,plain,
( and(not(t3),xor(carry,xor(sum,or(a,t7)))) != ll0
| and(not(t3),xor(carry,and(t6,or(t1,t7)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(not(t3),xor(carry,xor(sum,or(a,t7)))),and(not(t3),xor(carry,and(t6,or(t1,t7))))) )],[refute_0_25104,refute_0_25105]) ).
cnf(refute_0_25107,plain,
and(not(t3),xor(carry,and(t6,or(t1,t7)))) = ll0,
inference(resolve,[$cnf( $equal(and(not(t3),xor(carry,xor(sum,or(a,t7)))),ll0) )],[refute_0_25096,refute_0_25106]) ).
cnf(refute_0_25108,plain,
and(and(not(t3),X_591),or(t2,and(not(t3),X_591))) = and(not(t3),X_591),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(and(not(t3),X_591))),bind(X_20,$fot(t2))]]) ).
cnf(refute_0_25109,plain,
or(t2,and(not(a),Y)) = or(t2,or(not(a),and(not(a),Y))),
inference(subst,[],[refute_0_2940:[bind(X_39,$fot(and(not(a),Y)))]]) ).
cnf(refute_0_25110,plain,
or(not(a),and(not(a),Y)) = not(a),
inference(subst,[],[or_absorption:[bind(X,$fot(not(a)))]]) ).
cnf(refute_0_25111,plain,
( or(not(a),and(not(a),Y)) != not(a)
| or(t2,and(not(a),Y)) != or(t2,or(not(a),and(not(a),Y)))
| or(t2,and(not(a),Y)) = or(t2,not(a)) ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,and(not(a),Y)),or(t2,or(not(a),and(not(a),Y)))) ),[1,1],$fot(not(a))]]) ).
cnf(refute_0_25112,plain,
( or(t2,and(not(a),Y)) != or(t2,or(not(a),and(not(a),Y)))
| or(t2,and(not(a),Y)) = or(t2,not(a)) ),
inference(resolve,[$cnf( $equal(or(not(a),and(not(a),Y)),not(a)) )],[refute_0_25110,refute_0_25111]) ).
cnf(refute_0_25113,plain,
or(t2,and(not(a),Y)) = or(t2,not(a)),
inference(resolve,[$cnf( $equal(or(t2,and(not(a),Y)),or(t2,or(not(a),and(not(a),Y)))) )],[refute_0_25109,refute_0_25112]) ).
cnf(refute_0_25114,plain,
( or(t2,and(not(a),Y)) != or(t2,not(a))
| or(t2,not(a)) != t2
| or(t2,and(not(a),Y)) = t2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(t2,and(not(a),Y)),t2) ),[0],$fot(or(t2,not(a)))]]) ).
cnf(refute_0_25115,plain,
( or(t2,and(not(a),Y)) != or(t2,not(a))
| or(t2,and(not(a),Y)) = t2 ),
inference(resolve,[$cnf( $equal(or(t2,not(a)),t2) )],[refute_0_2937,refute_0_25114]) ).
cnf(refute_0_25116,plain,
or(t2,and(not(a),Y)) = t2,
inference(resolve,[$cnf( $equal(or(t2,and(not(a),Y)),or(t2,not(a))) )],[refute_0_25113,refute_0_25115]) ).
cnf(refute_0_25117,plain,
or(t2,and(not(a),not(Y))) = t2,
inference(subst,[],[refute_0_25116:[bind(Y,$fot(not(Y)))]]) ).
cnf(refute_0_25118,plain,
( and(not(a),not(Y)) != not(or(a,Y))
| or(t2,and(not(a),not(Y))) != t2
| or(t2,not(or(a,Y))) = t2 ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,and(not(a),not(Y))),t2) ),[0,1],$fot(not(or(a,Y)))]]) ).
cnf(refute_0_25119,plain,
( or(t2,and(not(a),not(Y))) != t2
| or(t2,not(or(a,Y))) = t2 ),
inference(resolve,[$cnf( $equal(and(not(a),not(Y)),not(or(a,Y))) )],[refute_0_10712,refute_0_25118]) ).
cnf(refute_0_25120,plain,
or(t2,not(or(a,Y))) = t2,
inference(resolve,[$cnf( $equal(or(t2,and(not(a),not(Y))),t2) )],[refute_0_25117,refute_0_25119]) ).
cnf(refute_0_25121,plain,
or(t2,not(or(a,or(xor(a,t3),Z)))) = t2,
inference(subst,[],[refute_0_25120:[bind(Y,$fot(or(xor(a,t3),Z)))]]) ).
cnf(refute_0_25122,plain,
( or(t3,Z) != or(a,or(xor(a,t3),Z))
| or(a,or(xor(a,t3),Z)) = or(t3,Z) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(t3,Z))),bind(Y0,$fot(or(a,or(xor(a,t3),Z))))]]) ).
cnf(refute_0_25123,plain,
or(a,or(xor(a,t3),Z)) = or(t3,Z),
inference(resolve,[$cnf( $equal(or(t3,Z),or(a,or(xor(a,t3),Z))) )],[refute_0_13856,refute_0_25122]) ).
cnf(refute_0_25124,plain,
( or(a,or(xor(a,t3),Z)) != or(t3,Z)
| or(t2,not(or(a,or(xor(a,t3),Z)))) != t2
| or(t2,not(or(t3,Z))) = t2 ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,not(or(a,or(xor(a,t3),Z)))),t2) ),[0,1,0],$fot(or(t3,Z))]]) ).
cnf(refute_0_25125,plain,
( or(t2,not(or(a,or(xor(a,t3),Z)))) != t2
| or(t2,not(or(t3,Z))) = t2 ),
inference(resolve,[$cnf( $equal(or(a,or(xor(a,t3),Z)),or(t3,Z)) )],[refute_0_25123,refute_0_25124]) ).
cnf(refute_0_25126,plain,
or(t2,not(or(t3,Z))) = t2,
inference(resolve,[$cnf( $equal(or(t2,not(or(a,or(xor(a,t3),Z)))),t2) )],[refute_0_25121,refute_0_25125]) ).
cnf(refute_0_25127,plain,
or(t2,not(or(t3,not(X)))) = t2,
inference(subst,[],[refute_0_25126:[bind(Z,$fot(not(X)))]]) ).
cnf(refute_0_25128,plain,
not(or(t3,not(X))) = and(not(t3),X),
inference(subst,[],[refute_0_801:[bind(X_25,$fot(t3))]]) ).
cnf(refute_0_25129,plain,
( not(or(t3,not(X))) != and(not(t3),X)
| or(t2,not(or(t3,not(X)))) != t2
| or(t2,and(not(t3),X)) = t2 ),
introduced(tautology,[equality,[$cnf( $equal(or(t2,not(or(t3,not(X)))),t2) ),[0,1],$fot(and(not(t3),X))]]) ).
cnf(refute_0_25130,plain,
( or(t2,not(or(t3,not(X)))) != t2
| or(t2,and(not(t3),X)) = t2 ),
inference(resolve,[$cnf( $equal(not(or(t3,not(X))),and(not(t3),X)) )],[refute_0_25128,refute_0_25129]) ).
cnf(refute_0_25131,plain,
or(t2,and(not(t3),X)) = t2,
inference(resolve,[$cnf( $equal(or(t2,not(or(t3,not(X)))),t2) )],[refute_0_25127,refute_0_25130]) ).
cnf(refute_0_25132,plain,
or(t2,and(not(t3),X_591)) = t2,
inference(subst,[],[refute_0_25131:[bind(X,$fot(X_591))]]) ).
cnf(refute_0_25133,plain,
( and(and(not(t3),X_591),or(t2,and(not(t3),X_591))) != and(not(t3),X_591)
| or(t2,and(not(t3),X_591)) != t2
| and(and(not(t3),X_591),t2) = and(not(t3),X_591) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(not(t3),X_591),or(t2,and(not(t3),X_591))),and(not(t3),X_591)) ),[0,1],$fot(t2)]]) ).
cnf(refute_0_25134,plain,
( and(and(not(t3),X_591),or(t2,and(not(t3),X_591))) != and(not(t3),X_591)
| and(and(not(t3),X_591),t2) = and(not(t3),X_591) ),
inference(resolve,[$cnf( $equal(or(t2,and(not(t3),X_591)),t2) )],[refute_0_25132,refute_0_25133]) ).
cnf(refute_0_25135,plain,
and(and(not(t3),X_591),t2) = and(not(t3),X_591),
inference(resolve,[$cnf( $equal(and(and(not(t3),X_591),or(t2,and(not(t3),X_591))),and(not(t3),X_591)) )],[refute_0_25108,refute_0_25134]) ).
cnf(refute_0_25136,plain,
and(not(t3),and(X_591,t2)) = and(t2,and(not(t3),X_591)),
inference(subst,[],[refute_0_889:[bind(X,$fot(t2)),bind(X_220,$fot(not(t3))),bind(X_221,$fot(X_591))]]) ).
cnf(refute_0_25137,plain,
and(and(not(t3),X_591),t2) = and(not(t3),and(X_591,t2)),
inference(subst,[],[and_associative:[bind(X,$fot(not(t3))),bind(Y,$fot(X_591)),bind(Z,$fot(t2))]]) ).
cnf(refute_0_25138,plain,
( and(and(not(t3),X_591),t2) != and(not(t3),and(X_591,t2))
| and(not(t3),and(X_591,t2)) != and(t2,and(not(t3),X_591))
| and(and(not(t3),X_591),t2) = and(t2,and(not(t3),X_591)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(and(not(t3),X_591),t2))),bind(Y0,$fot(and(not(t3),and(X_591,t2)))),bind(Z0,$fot(and(t2,and(not(t3),X_591))))]]) ).
cnf(refute_0_25139,plain,
( and(not(t3),and(X_591,t2)) != and(t2,and(not(t3),X_591))
| and(and(not(t3),X_591),t2) = and(t2,and(not(t3),X_591)) ),
inference(resolve,[$cnf( $equal(and(and(not(t3),X_591),t2),and(not(t3),and(X_591,t2))) )],[refute_0_25137,refute_0_25138]) ).
cnf(refute_0_25140,plain,
and(and(not(t3),X_591),t2) = and(t2,and(not(t3),X_591)),
inference(resolve,[$cnf( $equal(and(not(t3),and(X_591,t2)),and(t2,and(not(t3),X_591))) )],[refute_0_25136,refute_0_25139]) ).
cnf(refute_0_25141,plain,
( and(and(not(t3),X_591),t2) != and(not(t3),X_591)
| and(and(not(t3),X_591),t2) != and(t2,and(not(t3),X_591))
| and(t2,and(not(t3),X_591)) = and(not(t3),X_591) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(not(t3),X_591),t2),and(not(t3),X_591)) ),[0],$fot(and(t2,and(not(t3),X_591)))]]) ).
cnf(refute_0_25142,plain,
( and(and(not(t3),X_591),t2) != and(not(t3),X_591)
| and(t2,and(not(t3),X_591)) = and(not(t3),X_591) ),
inference(resolve,[$cnf( $equal(and(and(not(t3),X_591),t2),and(t2,and(not(t3),X_591))) )],[refute_0_25140,refute_0_25141]) ).
cnf(refute_0_25143,plain,
and(t2,and(not(t3),X_591)) = and(not(t3),X_591),
inference(resolve,[$cnf( $equal(and(and(not(t3),X_591),t2),and(not(t3),X_591)) )],[refute_0_25135,refute_0_25142]) ).
cnf(refute_0_25144,plain,
and(t2,and(not(t3),xor(b,or(t1,t7)))) = and(not(t3),xor(b,or(t1,t7))),
inference(subst,[],[refute_0_25143:[bind(X_591,$fot(xor(b,or(t1,t7))))]]) ).
cnf(refute_0_25145,plain,
and(not(t3),and(t2,xor(b,or(t1,t7)))) = and(t2,and(not(t3),xor(b,or(t1,t7)))),
inference(subst,[],[refute_0_4220:[bind(X,$fot(t2)),bind(Z,$fot(xor(b,or(t1,t7)))),bind(X_669,$fot(not(t3)))]]) ).
cnf(refute_0_25146,plain,
( and(not(t3),and(t2,xor(b,or(t1,t7)))) != and(t2,and(not(t3),xor(b,or(t1,t7))))
| and(t2,and(not(t3),xor(b,or(t1,t7)))) != and(not(t3),xor(b,or(t1,t7)))
| and(not(t3),and(t2,xor(b,or(t1,t7)))) = and(not(t3),xor(b,or(t1,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t3),and(t2,xor(b,or(t1,t7)))))),bind(Y0,$fot(and(t2,and(not(t3),xor(b,or(t1,t7)))))),bind(Z0,$fot(and(not(t3),xor(b,or(t1,t7)))))]]) ).
cnf(refute_0_25147,plain,
( and(t2,and(not(t3),xor(b,or(t1,t7)))) != and(not(t3),xor(b,or(t1,t7)))
| and(not(t3),and(t2,xor(b,or(t1,t7)))) = and(not(t3),xor(b,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(and(not(t3),and(t2,xor(b,or(t1,t7)))),and(t2,and(not(t3),xor(b,or(t1,t7))))) )],[refute_0_25145,refute_0_25146]) ).
cnf(refute_0_25148,plain,
and(not(t3),and(t2,xor(b,or(t1,t7)))) = and(not(t3),xor(b,or(t1,t7))),
inference(resolve,[$cnf( $equal(and(t2,and(not(t3),xor(b,or(t1,t7)))),and(not(t3),xor(b,or(t1,t7)))) )],[refute_0_25144,refute_0_25147]) ).
cnf(refute_0_25149,plain,
or(and(t2,not(xor(b,xor(t7,or(carry,t7))))),and(not(t2),xor(b,xor(t7,or(carry,t7))))) = xor(t2,xor(b,xor(t7,or(carry,t7)))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t2)),bind(Y,$fot(xor(b,xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_25150,plain,
and(or(t2,not(xor(b,xor(t7,or(carry,t7))))),not(or(not(xor(b,xor(t7,or(carry,t7)))),t2))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(not(xor(b,xor(t7,or(carry,t7)))))),bind(X_28,$fot(t2))]]) ).
cnf(refute_0_25151,plain,
or(or(t2,not(b)),Z) = or(t2,or(not(b),Z)),
inference(subst,[],[or_associative:[bind(X,$fot(t2)),bind(Y,$fot(not(b)))]]) ).
cnf(refute_0_25152,plain,
( or(or(t2,not(b)),Z) != or(t2,or(not(b),Z))
| or(t2,not(b)) != ll1
| or(ll1,Z) = or(t2,or(not(b),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(t2,not(b)),Z),or(t2,or(not(b),Z))) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_25153,plain,
( or(or(t2,not(b)),Z) != or(t2,or(not(b),Z))
| or(ll1,Z) = or(t2,or(not(b),Z)) ),
inference(resolve,[$cnf( $equal(or(t2,not(b)),ll1) )],[refute_0_1967,refute_0_25152]) ).
cnf(refute_0_25154,plain,
or(ll1,Z) = or(t2,or(not(b),Z)),
inference(resolve,[$cnf( $equal(or(or(t2,not(b)),Z),or(t2,or(not(b),Z))) )],[refute_0_25151,refute_0_25153]) ).
cnf(refute_0_25155,plain,
( or(ll1,Z) != ll1
| or(ll1,Z) != or(t2,or(not(b),Z))
| ll1 = or(t2,or(not(b),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll1,Z),or(t2,or(not(b),Z))) ),[0],$fot(ll1)]]) ).
cnf(refute_0_25156,plain,
( or(ll1,Z) != or(t2,or(not(b),Z))
| ll1 = or(t2,or(not(b),Z)) ),
inference(resolve,[$cnf( $equal(or(ll1,Z),ll1) )],[refute_0_6102,refute_0_25155]) ).
cnf(refute_0_25157,plain,
ll1 = or(t2,or(not(b),Z)),
inference(resolve,[$cnf( $equal(or(ll1,Z),or(t2,or(not(b),Z))) )],[refute_0_25154,refute_0_25156]) ).
cnf(refute_0_25158,plain,
ll1 = or(t2,or(not(b),not(Y))),
inference(subst,[],[refute_0_25157:[bind(Z,$fot(not(Y)))]]) ).
cnf(refute_0_25159,plain,
( ll1 != or(t2,or(not(b),not(Y)))
| or(not(b),not(Y)) != not(and(b,Y))
| ll1 = or(t2,not(and(b,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t2,or(not(b),not(Y)))) ),[1,1],$fot(not(and(b,Y)))]]) ).
cnf(refute_0_25160,plain,
( ll1 != or(t2,or(not(b),not(Y)))
| ll1 = or(t2,not(and(b,Y))) ),
inference(resolve,[$cnf( $equal(or(not(b),not(Y)),not(and(b,Y))) )],[refute_0_9812,refute_0_25159]) ).
cnf(refute_0_25161,plain,
ll1 = or(t2,not(and(b,Y))),
inference(resolve,[$cnf( $equal(ll1,or(t2,or(not(b),not(Y)))) )],[refute_0_25158,refute_0_25160]) ).
cnf(refute_0_25162,plain,
ll1 = or(t2,not(and(b,not(xor(t7,or(carry,t7)))))),
inference(subst,[],[refute_0_25161:[bind(Y,$fot(not(xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_25163,plain,
or(and(b,not(xor(t7,or(carry,t7)))),and(not(b),xor(t7,or(carry,t7)))) = xor(b,xor(t7,or(carry,t7))),
inference(subst,[],[refute_0_9:[bind(X,$fot(b)),bind(Y,$fot(xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_25164,plain,
and(or(b,not(xor(t7,or(carry,t7)))),not(or(not(xor(t7,or(carry,t7))),b))) = ll0,
inference(subst,[],[refute_0_109:[bind(X_27,$fot(not(xor(t7,or(carry,t7))))),bind(X_28,$fot(b))]]) ).
cnf(refute_0_25165,plain,
or(or(b,not(t1)),X_39) = or(b,or(not(t1),X_39)),
inference(subst,[],[or_associative:[bind(X,$fot(b)),bind(Y,$fot(not(t1))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_25166,plain,
( or(b,not(t1)) != b
| or(or(b,not(t1)),X_39) != or(b,or(not(t1),X_39))
| or(b,X_39) = or(b,or(not(t1),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(b,not(t1)),X_39),or(b,or(not(t1),X_39))) ),[0,0],$fot(b)]]) ).
cnf(refute_0_25167,plain,
( or(or(b,not(t1)),X_39) != or(b,or(not(t1),X_39))
| or(b,X_39) = or(b,or(not(t1),X_39)) ),
inference(resolve,[$cnf( $equal(or(b,not(t1)),b) )],[refute_0_1188,refute_0_25166]) ).
cnf(refute_0_25168,plain,
or(b,X_39) = or(b,or(not(t1),X_39)),
inference(resolve,[$cnf( $equal(or(or(b,not(t1)),X_39),or(b,or(not(t1),X_39))) )],[refute_0_25165,refute_0_25167]) ).
cnf(refute_0_25169,plain,
or(b,or(X_148,not(or(X_148,not(t1))))) = or(b,or(not(t1),or(X_148,not(or(X_148,not(t1)))))),
inference(subst,[],[refute_0_25168:[bind(X_39,$fot(or(X_148,not(or(X_148,not(t1))))))]]) ).
cnf(refute_0_25170,plain,
or(not(t1),or(X_148,not(or(X_148,not(t1))))) = ll1,
inference(subst,[],[refute_0_17832:[bind(X_27,$fot(X_148)),bind(X_28,$fot(not(t1)))]]) ).
cnf(refute_0_25171,plain,
( or(b,or(X_148,not(or(X_148,not(t1))))) != or(b,or(not(t1),or(X_148,not(or(X_148,not(t1))))))
| or(not(t1),or(X_148,not(or(X_148,not(t1))))) != ll1
| or(b,or(X_148,not(or(X_148,not(t1))))) = or(b,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(b,or(X_148,not(or(X_148,not(t1))))),or(b,or(not(t1),or(X_148,not(or(X_148,not(t1))))))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_25172,plain,
( or(b,or(X_148,not(or(X_148,not(t1))))) != or(b,or(not(t1),or(X_148,not(or(X_148,not(t1))))))
| or(b,or(X_148,not(or(X_148,not(t1))))) = or(b,ll1) ),
inference(resolve,[$cnf( $equal(or(not(t1),or(X_148,not(or(X_148,not(t1))))),ll1) )],[refute_0_25170,refute_0_25171]) ).
cnf(refute_0_25173,plain,
or(b,or(X_148,not(or(X_148,not(t1))))) = or(b,ll1),
inference(resolve,[$cnf( $equal(or(b,or(X_148,not(or(X_148,not(t1))))),or(b,or(not(t1),or(X_148,not(or(X_148,not(t1))))))) )],[refute_0_25169,refute_0_25172]) ).
cnf(refute_0_25174,plain,
and(not(X_148),t1) = and(t1,not(X_148)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t1)),bind(Y,$fot(not(X_148)))]]) ).
cnf(refute_0_25175,plain,
not(or(X_148,not(t1))) = and(not(X_148),t1),
inference(subst,[],[refute_0_801:[bind(X,$fot(t1)),bind(X_25,$fot(X_148))]]) ).
cnf(refute_0_25176,plain,
( and(not(X_148),t1) != and(t1,not(X_148))
| not(or(X_148,not(t1))) != and(not(X_148),t1)
| not(or(X_148,not(t1))) = and(t1,not(X_148)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(X_148,not(t1))))),bind(Y0,$fot(and(not(X_148),t1))),bind(Z0,$fot(and(t1,not(X_148))))]]) ).
cnf(refute_0_25177,plain,
( and(not(X_148),t1) != and(t1,not(X_148))
| not(or(X_148,not(t1))) = and(t1,not(X_148)) ),
inference(resolve,[$cnf( $equal(not(or(X_148,not(t1))),and(not(X_148),t1)) )],[refute_0_25175,refute_0_25176]) ).
cnf(refute_0_25178,plain,
not(or(X_148,not(t1))) = and(t1,not(X_148)),
inference(resolve,[$cnf( $equal(and(not(X_148),t1),and(t1,not(X_148))) )],[refute_0_25174,refute_0_25177]) ).
cnf(refute_0_25179,plain,
or(X_148,not(or(X_148,not(t1)))) = or(X_148,not(or(X_148,not(t1)))),
introduced(tautology,[refl,[$fot(or(X_148,not(or(X_148,not(t1)))))]]) ).
cnf(refute_0_25180,plain,
( not(or(X_148,not(t1))) != and(t1,not(X_148))
| or(X_148,not(or(X_148,not(t1)))) != or(X_148,not(or(X_148,not(t1))))
| or(X_148,not(or(X_148,not(t1)))) = or(X_148,and(t1,not(X_148))) ),
introduced(tautology,[equality,[$cnf( $equal(or(X_148,not(or(X_148,not(t1)))),or(X_148,not(or(X_148,not(t1))))) ),[1,1],$fot(and(t1,not(X_148)))]]) ).
cnf(refute_0_25181,plain,
( not(or(X_148,not(t1))) != and(t1,not(X_148))
| or(X_148,not(or(X_148,not(t1)))) = or(X_148,and(t1,not(X_148))) ),
inference(resolve,[$cnf( $equal(or(X_148,not(or(X_148,not(t1)))),or(X_148,not(or(X_148,not(t1))))) )],[refute_0_25179,refute_0_25180]) ).
cnf(refute_0_25182,plain,
or(X_148,not(or(X_148,not(t1)))) = or(X_148,and(t1,not(X_148))),
inference(resolve,[$cnf( $equal(not(or(X_148,not(t1))),and(t1,not(X_148))) )],[refute_0_25178,refute_0_25181]) ).
cnf(refute_0_25183,plain,
or(b,or(X_148,not(or(X_148,not(t1))))) = or(b,or(X_148,not(or(X_148,not(t1))))),
introduced(tautology,[refl,[$fot(or(b,or(X_148,not(or(X_148,not(t1))))))]]) ).
cnf(refute_0_25184,plain,
( or(X_148,not(or(X_148,not(t1)))) != or(X_148,and(t1,not(X_148)))
| or(b,or(X_148,not(or(X_148,not(t1))))) != or(b,or(X_148,not(or(X_148,not(t1)))))
| or(b,or(X_148,not(or(X_148,not(t1))))) = or(b,or(X_148,and(t1,not(X_148)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(b,or(X_148,not(or(X_148,not(t1))))),or(b,or(X_148,not(or(X_148,not(t1)))))) ),[1,1],$fot(or(X_148,and(t1,not(X_148))))]]) ).
cnf(refute_0_25185,plain,
( or(X_148,not(or(X_148,not(t1)))) != or(X_148,and(t1,not(X_148)))
| or(b,or(X_148,not(or(X_148,not(t1))))) = or(b,or(X_148,and(t1,not(X_148)))) ),
inference(resolve,[$cnf( $equal(or(b,or(X_148,not(or(X_148,not(t1))))),or(b,or(X_148,not(or(X_148,not(t1)))))) )],[refute_0_25183,refute_0_25184]) ).
cnf(refute_0_25186,plain,
or(b,or(X_148,not(or(X_148,not(t1))))) = or(b,or(X_148,and(t1,not(X_148)))),
inference(resolve,[$cnf( $equal(or(X_148,not(or(X_148,not(t1)))),or(X_148,and(t1,not(X_148)))) )],[refute_0_25182,refute_0_25185]) ).
cnf(refute_0_25187,plain,
( or(b,or(X_148,not(or(X_148,not(t1))))) != or(b,ll1)
| or(b,or(X_148,not(or(X_148,not(t1))))) != or(b,or(X_148,and(t1,not(X_148))))
| or(b,or(X_148,and(t1,not(X_148)))) = or(b,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(b,or(X_148,not(or(X_148,not(t1))))),or(b,ll1)) ),[0],$fot(or(b,or(X_148,and(t1,not(X_148)))))]]) ).
cnf(refute_0_25188,plain,
( or(b,or(X_148,not(or(X_148,not(t1))))) != or(b,ll1)
| or(b,or(X_148,and(t1,not(X_148)))) = or(b,ll1) ),
inference(resolve,[$cnf( $equal(or(b,or(X_148,not(or(X_148,not(t1))))),or(b,or(X_148,and(t1,not(X_148))))) )],[refute_0_25186,refute_0_25187]) ).
cnf(refute_0_25189,plain,
or(b,ll1) = ll1,
inference(subst,[],[or_boundedness:[bind(X,$fot(b))]]) ).
cnf(refute_0_25190,plain,
( or(b,ll1) != ll1
| or(b,or(X_148,and(t1,not(X_148)))) != or(b,ll1)
| or(b,or(X_148,and(t1,not(X_148)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(b,or(X_148,and(t1,not(X_148)))),or(b,ll1)) ),[1],$fot(ll1)]]) ).
cnf(refute_0_25191,plain,
( or(b,or(X_148,and(t1,not(X_148)))) != or(b,ll1)
| or(b,or(X_148,and(t1,not(X_148)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(b,ll1),ll1) )],[refute_0_25189,refute_0_25190]) ).
cnf(refute_0_25192,plain,
( or(b,or(X_148,not(or(X_148,not(t1))))) != or(b,ll1)
| or(b,or(X_148,and(t1,not(X_148)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(b,or(X_148,and(t1,not(X_148)))),or(b,ll1)) )],[refute_0_25188,refute_0_25191]) ).
cnf(refute_0_25193,plain,
or(b,or(X_148,and(t1,not(X_148)))) = ll1,
inference(resolve,[$cnf( $equal(or(b,or(X_148,not(or(X_148,not(t1))))),or(b,ll1)) )],[refute_0_25173,refute_0_25192]) ).
cnf(refute_0_25194,plain,
or(b,or(t7,and(t1,not(t7)))) = ll1,
inference(subst,[],[refute_0_25193:[bind(X_148,$fot(t7))]]) ).
cnf(refute_0_25195,plain,
( and(t1,not(t7)) != not(or(carry,t7))
| or(b,or(t7,and(t1,not(t7)))) != ll1
| or(b,or(t7,not(or(carry,t7)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(b,or(t7,and(t1,not(t7)))),ll1) ),[0,1,1],$fot(not(or(carry,t7)))]]) ).
cnf(refute_0_25196,plain,
( or(b,or(t7,and(t1,not(t7)))) != ll1
| or(b,or(t7,not(or(carry,t7)))) = ll1 ),
inference(resolve,[$cnf( $equal(and(t1,not(t7)),not(or(carry,t7))) )],[refute_0_242,refute_0_25195]) ).
cnf(refute_0_25197,plain,
or(b,or(t7,not(or(carry,t7)))) = ll1,
inference(resolve,[$cnf( $equal(or(b,or(t7,and(t1,not(t7)))),ll1) )],[refute_0_25194,refute_0_25196]) ).
cnf(refute_0_25198,plain,
or(b,or(t7,not(or(carry,t7)))) = or(b,or(t7,not(or(carry,t7)))),
introduced(tautology,[refl,[$fot(or(b,or(t7,not(or(carry,t7)))))]]) ).
cnf(refute_0_25199,plain,
( or(b,or(t7,not(or(carry,t7)))) != or(b,or(t7,not(or(carry,t7))))
| or(t7,not(or(carry,t7))) != not(xor(t7,or(carry,t7)))
| or(b,or(t7,not(or(carry,t7)))) = or(b,not(xor(t7,or(carry,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(b,or(t7,not(or(carry,t7)))),or(b,or(t7,not(or(carry,t7))))) ),[1,1],$fot(not(xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_25200,plain,
( or(t7,not(or(carry,t7))) != not(xor(t7,or(carry,t7)))
| or(b,or(t7,not(or(carry,t7)))) = or(b,not(xor(t7,or(carry,t7)))) ),
inference(resolve,[$cnf( $equal(or(b,or(t7,not(or(carry,t7)))),or(b,or(t7,not(or(carry,t7))))) )],[refute_0_25198,refute_0_25199]) ).
cnf(refute_0_25201,plain,
or(b,or(t7,not(or(carry,t7)))) = or(b,not(xor(t7,or(carry,t7)))),
inference(resolve,[$cnf( $equal(or(t7,not(or(carry,t7))),not(xor(t7,or(carry,t7)))) )],[refute_0_7821,refute_0_25200]) ).
cnf(refute_0_25202,plain,
( or(b,or(t7,not(or(carry,t7)))) != ll1
| or(b,or(t7,not(or(carry,t7)))) != or(b,not(xor(t7,or(carry,t7))))
| or(b,not(xor(t7,or(carry,t7)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(b,or(t7,not(or(carry,t7)))),ll1) ),[0],$fot(or(b,not(xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_25203,plain,
( or(b,or(t7,not(or(carry,t7)))) != ll1
| or(b,not(xor(t7,or(carry,t7)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(b,or(t7,not(or(carry,t7)))),or(b,not(xor(t7,or(carry,t7))))) )],[refute_0_25201,refute_0_25202]) ).
cnf(refute_0_25204,plain,
or(b,not(xor(t7,or(carry,t7)))) = ll1,
inference(resolve,[$cnf( $equal(or(b,or(t7,not(or(carry,t7)))),ll1) )],[refute_0_25197,refute_0_25203]) ).
cnf(refute_0_25205,plain,
( and(or(b,not(xor(t7,or(carry,t7)))),not(or(not(xor(t7,or(carry,t7))),b))) != ll0
| or(b,not(xor(t7,or(carry,t7)))) != ll1
| and(ll1,not(or(not(xor(t7,or(carry,t7))),b))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(b,not(xor(t7,or(carry,t7)))),not(or(not(xor(t7,or(carry,t7))),b))),ll0) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_25206,plain,
( and(or(b,not(xor(t7,or(carry,t7)))),not(or(not(xor(t7,or(carry,t7))),b))) != ll0
| and(ll1,not(or(not(xor(t7,or(carry,t7))),b))) = ll0 ),
inference(resolve,[$cnf( $equal(or(b,not(xor(t7,or(carry,t7)))),ll1) )],[refute_0_25204,refute_0_25205]) ).
cnf(refute_0_25207,plain,
and(ll1,not(or(not(xor(t7,or(carry,t7))),b))) = ll0,
inference(resolve,[$cnf( $equal(and(or(b,not(xor(t7,or(carry,t7)))),not(or(not(xor(t7,or(carry,t7))),b))),ll0) )],[refute_0_25164,refute_0_25206]) ).
cnf(refute_0_25208,plain,
not(or(b,not(xor(t7,or(carry,t7))))) = and(not(b),xor(t7,or(carry,t7))),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(t7,or(carry,t7)))),bind(X_25,$fot(b))]]) ).
cnf(refute_0_25209,plain,
and(ll1,not(or(b,not(xor(t7,or(carry,t7)))))) = not(or(b,not(xor(t7,or(carry,t7))))),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(or(b,not(xor(t7,or(carry,t7)))))))]]) ).
cnf(refute_0_25210,plain,
( and(ll1,not(or(b,not(xor(t7,or(carry,t7)))))) != not(or(b,not(xor(t7,or(carry,t7)))))
| not(or(b,not(xor(t7,or(carry,t7))))) != and(not(b),xor(t7,or(carry,t7)))
| and(ll1,not(or(b,not(xor(t7,or(carry,t7)))))) = and(not(b),xor(t7,or(carry,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(b,not(xor(t7,or(carry,t7)))))))),bind(Y0,$fot(not(or(b,not(xor(t7,or(carry,t7))))))),bind(Z0,$fot(and(not(b),xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_25211,plain,
( not(or(b,not(xor(t7,or(carry,t7))))) != and(not(b),xor(t7,or(carry,t7)))
| and(ll1,not(or(b,not(xor(t7,or(carry,t7)))))) = and(not(b),xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(b,not(xor(t7,or(carry,t7)))))),not(or(b,not(xor(t7,or(carry,t7)))))) )],[refute_0_25209,refute_0_25210]) ).
cnf(refute_0_25212,plain,
and(ll1,not(or(b,not(xor(t7,or(carry,t7)))))) = and(not(b),xor(t7,or(carry,t7))),
inference(resolve,[$cnf( $equal(not(or(b,not(xor(t7,or(carry,t7))))),and(not(b),xor(t7,or(carry,t7)))) )],[refute_0_25208,refute_0_25211]) ).
cnf(refute_0_25213,plain,
and(ll1,not(or(not(xor(t7,or(carry,t7))),b))) = and(ll1,not(or(b,not(xor(t7,or(carry,t7)))))),
inference(subst,[],[refute_0_815:[bind(X_25,$fot(b)),bind(X_26,$fot(not(xor(t7,or(carry,t7))))),bind(X_29,$fot(ll1))]]) ).
cnf(refute_0_25214,plain,
( and(ll1,not(or(b,not(xor(t7,or(carry,t7)))))) != and(not(b),xor(t7,or(carry,t7)))
| and(ll1,not(or(not(xor(t7,or(carry,t7))),b))) != and(ll1,not(or(b,not(xor(t7,or(carry,t7))))))
| and(ll1,not(or(not(xor(t7,or(carry,t7))),b))) = and(not(b),xor(t7,or(carry,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(xor(t7,or(carry,t7))),b))))),bind(Y0,$fot(and(ll1,not(or(b,not(xor(t7,or(carry,t7)))))))),bind(Z0,$fot(and(not(b),xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_25215,plain,
( and(ll1,not(or(b,not(xor(t7,or(carry,t7)))))) != and(not(b),xor(t7,or(carry,t7)))
| and(ll1,not(or(not(xor(t7,or(carry,t7))),b))) = and(not(b),xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t7,or(carry,t7))),b))),and(ll1,not(or(b,not(xor(t7,or(carry,t7))))))) )],[refute_0_25213,refute_0_25214]) ).
cnf(refute_0_25216,plain,
and(ll1,not(or(not(xor(t7,or(carry,t7))),b))) = and(not(b),xor(t7,or(carry,t7))),
inference(resolve,[$cnf( $equal(and(ll1,not(or(b,not(xor(t7,or(carry,t7)))))),and(not(b),xor(t7,or(carry,t7)))) )],[refute_0_25212,refute_0_25215]) ).
cnf(refute_0_25217,plain,
( and(ll1,not(or(not(xor(t7,or(carry,t7))),b))) != and(not(b),xor(t7,or(carry,t7)))
| and(ll1,not(or(not(xor(t7,or(carry,t7))),b))) != ll0
| and(not(b),xor(t7,or(carry,t7))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(ll1,not(or(not(xor(t7,or(carry,t7))),b))),ll0) ),[0],$fot(and(not(b),xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_25218,plain,
( and(ll1,not(or(not(xor(t7,or(carry,t7))),b))) != ll0
| and(not(b),xor(t7,or(carry,t7))) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t7,or(carry,t7))),b))),and(not(b),xor(t7,or(carry,t7)))) )],[refute_0_25216,refute_0_25217]) ).
cnf(refute_0_25219,plain,
and(not(b),xor(t7,or(carry,t7))) = ll0,
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(t7,or(carry,t7))),b))),ll0) )],[refute_0_25207,refute_0_25218]) ).
cnf(refute_0_25220,plain,
( and(not(b),xor(t7,or(carry,t7))) != ll0
| or(and(b,not(xor(t7,or(carry,t7)))),and(not(b),xor(t7,or(carry,t7)))) != xor(b,xor(t7,or(carry,t7)))
| or(and(b,not(xor(t7,or(carry,t7)))),ll0) = xor(b,xor(t7,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(b,not(xor(t7,or(carry,t7)))),and(not(b),xor(t7,or(carry,t7)))),xor(b,xor(t7,or(carry,t7)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_25221,plain,
( or(and(b,not(xor(t7,or(carry,t7)))),and(not(b),xor(t7,or(carry,t7)))) != xor(b,xor(t7,or(carry,t7)))
| or(and(b,not(xor(t7,or(carry,t7)))),ll0) = xor(b,xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(not(b),xor(t7,or(carry,t7))),ll0) )],[refute_0_25219,refute_0_25220]) ).
cnf(refute_0_25222,plain,
or(and(b,not(xor(t7,or(carry,t7)))),ll0) = xor(b,xor(t7,or(carry,t7))),
inference(resolve,[$cnf( $equal(or(and(b,not(xor(t7,or(carry,t7)))),and(not(b),xor(t7,or(carry,t7)))),xor(b,xor(t7,or(carry,t7)))) )],[refute_0_25163,refute_0_25221]) ).
cnf(refute_0_25223,plain,
or(and(b,not(xor(t7,or(carry,t7)))),ll0) = and(b,not(xor(t7,or(carry,t7)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(b,not(xor(t7,or(carry,t7))))))]]) ).
cnf(refute_0_25224,plain,
( or(and(b,not(xor(t7,or(carry,t7)))),ll0) != and(b,not(xor(t7,or(carry,t7))))
| or(and(b,not(xor(t7,or(carry,t7)))),ll0) != xor(b,xor(t7,or(carry,t7)))
| and(b,not(xor(t7,or(carry,t7)))) = xor(b,xor(t7,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(b,not(xor(t7,or(carry,t7)))),ll0),xor(b,xor(t7,or(carry,t7)))) ),[0],$fot(and(b,not(xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_25225,plain,
( or(and(b,not(xor(t7,or(carry,t7)))),ll0) != xor(b,xor(t7,or(carry,t7)))
| and(b,not(xor(t7,or(carry,t7)))) = xor(b,xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(or(and(b,not(xor(t7,or(carry,t7)))),ll0),and(b,not(xor(t7,or(carry,t7))))) )],[refute_0_25223,refute_0_25224]) ).
cnf(refute_0_25226,plain,
and(b,not(xor(t7,or(carry,t7)))) = xor(b,xor(t7,or(carry,t7))),
inference(resolve,[$cnf( $equal(or(and(b,not(xor(t7,or(carry,t7)))),ll0),xor(b,xor(t7,or(carry,t7)))) )],[refute_0_25222,refute_0_25225]) ).
cnf(refute_0_25227,plain,
( and(b,not(xor(t7,or(carry,t7)))) != xor(b,xor(t7,or(carry,t7)))
| ll1 != or(t2,not(and(b,not(xor(t7,or(carry,t7))))))
| ll1 = or(t2,not(xor(b,xor(t7,or(carry,t7))))) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t2,not(and(b,not(xor(t7,or(carry,t7))))))) ),[1,1,0],$fot(xor(b,xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_25228,plain,
( ll1 != or(t2,not(and(b,not(xor(t7,or(carry,t7))))))
| ll1 = or(t2,not(xor(b,xor(t7,or(carry,t7))))) ),
inference(resolve,[$cnf( $equal(and(b,not(xor(t7,or(carry,t7)))),xor(b,xor(t7,or(carry,t7)))) )],[refute_0_25226,refute_0_25227]) ).
cnf(refute_0_25229,plain,
ll1 = or(t2,not(xor(b,xor(t7,or(carry,t7))))),
inference(resolve,[$cnf( $equal(ll1,or(t2,not(and(b,not(xor(t7,or(carry,t7))))))) )],[refute_0_25162,refute_0_25228]) ).
cnf(refute_0_25230,plain,
( ll1 != or(t2,not(xor(b,xor(t7,or(carry,t7)))))
| or(t2,not(xor(b,xor(t7,or(carry,t7))))) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(t2,not(xor(b,xor(t7,or(carry,t7)))))))]]) ).
cnf(refute_0_25231,plain,
or(t2,not(xor(b,xor(t7,or(carry,t7))))) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(t2,not(xor(b,xor(t7,or(carry,t7)))))) )],[refute_0_25229,refute_0_25230]) ).
cnf(refute_0_25232,plain,
( and(or(t2,not(xor(b,xor(t7,or(carry,t7))))),not(or(not(xor(b,xor(t7,or(carry,t7)))),t2))) != ll0
| or(t2,not(xor(b,xor(t7,or(carry,t7))))) != ll1
| and(ll1,not(or(not(xor(b,xor(t7,or(carry,t7)))),t2))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(or(t2,not(xor(b,xor(t7,or(carry,t7))))),not(or(not(xor(b,xor(t7,or(carry,t7)))),t2))),ll0) ),[0,0],$fot(ll1)]]) ).
cnf(refute_0_25233,plain,
( and(or(t2,not(xor(b,xor(t7,or(carry,t7))))),not(or(not(xor(b,xor(t7,or(carry,t7)))),t2))) != ll0
| and(ll1,not(or(not(xor(b,xor(t7,or(carry,t7)))),t2))) = ll0 ),
inference(resolve,[$cnf( $equal(or(t2,not(xor(b,xor(t7,or(carry,t7))))),ll1) )],[refute_0_25231,refute_0_25232]) ).
cnf(refute_0_25234,plain,
and(ll1,not(or(not(xor(b,xor(t7,or(carry,t7)))),t2))) = ll0,
inference(resolve,[$cnf( $equal(and(or(t2,not(xor(b,xor(t7,or(carry,t7))))),not(or(not(xor(b,xor(t7,or(carry,t7)))),t2))),ll0) )],[refute_0_25150,refute_0_25233]) ).
cnf(refute_0_25235,plain,
not(or(t2,not(xor(b,xor(t7,or(carry,t7)))))) = and(not(t2),xor(b,xor(t7,or(carry,t7)))),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(b,xor(t7,or(carry,t7))))),bind(X_25,$fot(t2))]]) ).
cnf(refute_0_25236,plain,
and(ll1,not(or(t2,not(xor(b,xor(t7,or(carry,t7))))))) = not(or(t2,not(xor(b,xor(t7,or(carry,t7)))))),
inference(subst,[],[refute_0_64:[bind(X,$fot(not(or(t2,not(xor(b,xor(t7,or(carry,t7))))))))]]) ).
cnf(refute_0_25237,plain,
( and(ll1,not(or(t2,not(xor(b,xor(t7,or(carry,t7))))))) != not(or(t2,not(xor(b,xor(t7,or(carry,t7))))))
| not(or(t2,not(xor(b,xor(t7,or(carry,t7)))))) != and(not(t2),xor(b,xor(t7,or(carry,t7))))
| and(ll1,not(or(t2,not(xor(b,xor(t7,or(carry,t7))))))) = and(not(t2),xor(b,xor(t7,or(carry,t7)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(t2,not(xor(b,xor(t7,or(carry,t7))))))))),bind(Y0,$fot(not(or(t2,not(xor(b,xor(t7,or(carry,t7)))))))),bind(Z0,$fot(and(not(t2),xor(b,xor(t7,or(carry,t7))))))]]) ).
cnf(refute_0_25238,plain,
( not(or(t2,not(xor(b,xor(t7,or(carry,t7)))))) != and(not(t2),xor(b,xor(t7,or(carry,t7))))
| and(ll1,not(or(t2,not(xor(b,xor(t7,or(carry,t7))))))) = and(not(t2),xor(b,xor(t7,or(carry,t7)))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t2,not(xor(b,xor(t7,or(carry,t7))))))),not(or(t2,not(xor(b,xor(t7,or(carry,t7))))))) )],[refute_0_25236,refute_0_25237]) ).
cnf(refute_0_25239,plain,
and(ll1,not(or(t2,not(xor(b,xor(t7,or(carry,t7))))))) = and(not(t2),xor(b,xor(t7,or(carry,t7)))),
inference(resolve,[$cnf( $equal(not(or(t2,not(xor(b,xor(t7,or(carry,t7)))))),and(not(t2),xor(b,xor(t7,or(carry,t7))))) )],[refute_0_25235,refute_0_25238]) ).
cnf(refute_0_25240,plain,
and(ll1,not(or(not(xor(b,xor(t7,or(carry,t7)))),t2))) = and(ll1,not(or(t2,not(xor(b,xor(t7,or(carry,t7))))))),
inference(subst,[],[refute_0_815:[bind(X_25,$fot(t2)),bind(X_26,$fot(not(xor(b,xor(t7,or(carry,t7)))))),bind(X_29,$fot(ll1))]]) ).
cnf(refute_0_25241,plain,
( and(ll1,not(or(not(xor(b,xor(t7,or(carry,t7)))),t2))) != and(ll1,not(or(t2,not(xor(b,xor(t7,or(carry,t7)))))))
| and(ll1,not(or(t2,not(xor(b,xor(t7,or(carry,t7))))))) != and(not(t2),xor(b,xor(t7,or(carry,t7))))
| and(ll1,not(or(not(xor(b,xor(t7,or(carry,t7)))),t2))) = and(not(t2),xor(b,xor(t7,or(carry,t7)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(ll1,not(or(not(xor(b,xor(t7,or(carry,t7)))),t2))))),bind(Y0,$fot(and(ll1,not(or(t2,not(xor(b,xor(t7,or(carry,t7))))))))),bind(Z0,$fot(and(not(t2),xor(b,xor(t7,or(carry,t7))))))]]) ).
cnf(refute_0_25242,plain,
( and(ll1,not(or(t2,not(xor(b,xor(t7,or(carry,t7))))))) != and(not(t2),xor(b,xor(t7,or(carry,t7))))
| and(ll1,not(or(not(xor(b,xor(t7,or(carry,t7)))),t2))) = and(not(t2),xor(b,xor(t7,or(carry,t7)))) ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(b,xor(t7,or(carry,t7)))),t2))),and(ll1,not(or(t2,not(xor(b,xor(t7,or(carry,t7)))))))) )],[refute_0_25240,refute_0_25241]) ).
cnf(refute_0_25243,plain,
and(ll1,not(or(not(xor(b,xor(t7,or(carry,t7)))),t2))) = and(not(t2),xor(b,xor(t7,or(carry,t7)))),
inference(resolve,[$cnf( $equal(and(ll1,not(or(t2,not(xor(b,xor(t7,or(carry,t7))))))),and(not(t2),xor(b,xor(t7,or(carry,t7))))) )],[refute_0_25239,refute_0_25242]) ).
cnf(refute_0_25244,plain,
( and(ll1,not(or(not(xor(b,xor(t7,or(carry,t7)))),t2))) != and(not(t2),xor(b,xor(t7,or(carry,t7))))
| and(ll1,not(or(not(xor(b,xor(t7,or(carry,t7)))),t2))) != ll0
| and(not(t2),xor(b,xor(t7,or(carry,t7)))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(ll1,not(or(not(xor(b,xor(t7,or(carry,t7)))),t2))),ll0) ),[0],$fot(and(not(t2),xor(b,xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_25245,plain,
( and(ll1,not(or(not(xor(b,xor(t7,or(carry,t7)))),t2))) != ll0
| and(not(t2),xor(b,xor(t7,or(carry,t7)))) = ll0 ),
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(b,xor(t7,or(carry,t7)))),t2))),and(not(t2),xor(b,xor(t7,or(carry,t7))))) )],[refute_0_25243,refute_0_25244]) ).
cnf(refute_0_25246,plain,
and(not(t2),xor(b,xor(t7,or(carry,t7)))) = ll0,
inference(resolve,[$cnf( $equal(and(ll1,not(or(not(xor(b,xor(t7,or(carry,t7)))),t2))),ll0) )],[refute_0_25234,refute_0_25245]) ).
cnf(refute_0_25247,plain,
( and(not(t2),xor(b,xor(t7,or(carry,t7)))) != ll0
| or(and(t2,not(xor(b,xor(t7,or(carry,t7))))),and(not(t2),xor(b,xor(t7,or(carry,t7))))) != xor(t2,xor(b,xor(t7,or(carry,t7))))
| or(and(t2,not(xor(b,xor(t7,or(carry,t7))))),ll0) = xor(t2,xor(b,xor(t7,or(carry,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t2,not(xor(b,xor(t7,or(carry,t7))))),and(not(t2),xor(b,xor(t7,or(carry,t7))))),xor(t2,xor(b,xor(t7,or(carry,t7))))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_25248,plain,
( or(and(t2,not(xor(b,xor(t7,or(carry,t7))))),and(not(t2),xor(b,xor(t7,or(carry,t7))))) != xor(t2,xor(b,xor(t7,or(carry,t7))))
| or(and(t2,not(xor(b,xor(t7,or(carry,t7))))),ll0) = xor(t2,xor(b,xor(t7,or(carry,t7)))) ),
inference(resolve,[$cnf( $equal(and(not(t2),xor(b,xor(t7,or(carry,t7)))),ll0) )],[refute_0_25246,refute_0_25247]) ).
cnf(refute_0_25249,plain,
or(and(t2,not(xor(b,xor(t7,or(carry,t7))))),ll0) = xor(t2,xor(b,xor(t7,or(carry,t7)))),
inference(resolve,[$cnf( $equal(or(and(t2,not(xor(b,xor(t7,or(carry,t7))))),and(not(t2),xor(b,xor(t7,or(carry,t7))))),xor(t2,xor(b,xor(t7,or(carry,t7))))) )],[refute_0_25149,refute_0_25248]) ).
cnf(refute_0_25250,plain,
or(and(t2,not(xor(b,xor(t7,or(carry,t7))))),ll0) = and(t2,not(xor(b,xor(t7,or(carry,t7))))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t2,not(xor(b,xor(t7,or(carry,t7)))))))]]) ).
cnf(refute_0_25251,plain,
( or(and(t2,not(xor(b,xor(t7,or(carry,t7))))),ll0) != and(t2,not(xor(b,xor(t7,or(carry,t7)))))
| or(and(t2,not(xor(b,xor(t7,or(carry,t7))))),ll0) != xor(t2,xor(b,xor(t7,or(carry,t7))))
| and(t2,not(xor(b,xor(t7,or(carry,t7))))) = xor(t2,xor(b,xor(t7,or(carry,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t2,not(xor(b,xor(t7,or(carry,t7))))),ll0),xor(t2,xor(b,xor(t7,or(carry,t7))))) ),[0],$fot(and(t2,not(xor(b,xor(t7,or(carry,t7))))))]]) ).
cnf(refute_0_25252,plain,
( or(and(t2,not(xor(b,xor(t7,or(carry,t7))))),ll0) != xor(t2,xor(b,xor(t7,or(carry,t7))))
| and(t2,not(xor(b,xor(t7,or(carry,t7))))) = xor(t2,xor(b,xor(t7,or(carry,t7)))) ),
inference(resolve,[$cnf( $equal(or(and(t2,not(xor(b,xor(t7,or(carry,t7))))),ll0),and(t2,not(xor(b,xor(t7,or(carry,t7)))))) )],[refute_0_25250,refute_0_25251]) ).
cnf(refute_0_25253,plain,
xor(b,xor(t2,xor(t7,or(carry,t7)))) = xor(a,xor(t3,xor(t7,or(carry,t7)))),
inference(subst,[],[refute_0_4805:[bind(Y,$fot(xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_25254,plain,
( xor(a,xor(t3,xor(t7,or(carry,t7)))) != xor(carry,xor(sum,or(carry,t7)))
| xor(b,xor(t2,xor(t7,or(carry,t7)))) != xor(a,xor(t3,xor(t7,or(carry,t7))))
| xor(b,xor(t2,xor(t7,or(carry,t7)))) = xor(carry,xor(sum,or(carry,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(b,xor(t2,xor(t7,or(carry,t7)))))),bind(Y0,$fot(xor(a,xor(t3,xor(t7,or(carry,t7)))))),bind(Z0,$fot(xor(carry,xor(sum,or(carry,t7)))))]]) ).
cnf(refute_0_25255,plain,
( xor(a,xor(t3,xor(t7,or(carry,t7)))) != xor(carry,xor(sum,or(carry,t7)))
| xor(b,xor(t2,xor(t7,or(carry,t7)))) = xor(carry,xor(sum,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(xor(b,xor(t2,xor(t7,or(carry,t7)))),xor(a,xor(t3,xor(t7,or(carry,t7))))) )],[refute_0_25253,refute_0_25254]) ).
cnf(refute_0_25256,plain,
xor(b,xor(t2,xor(t7,or(carry,t7)))) = xor(carry,xor(sum,or(carry,t7))),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,xor(t7,or(carry,t7)))),xor(carry,xor(sum,or(carry,t7)))) )],[refute_0_25053,refute_0_25255]) ).
cnf(refute_0_25257,plain,
xor(t2,xor(b,xor(t7,or(carry,t7)))) = xor(b,xor(t2,xor(t7,or(carry,t7)))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(b)),bind(X_334,$fot(t2)),bind(X_335,$fot(xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_25258,plain,
( xor(b,xor(t2,xor(t7,or(carry,t7)))) != xor(carry,xor(sum,or(carry,t7)))
| xor(t2,xor(b,xor(t7,or(carry,t7)))) != xor(b,xor(t2,xor(t7,or(carry,t7))))
| xor(t2,xor(b,xor(t7,or(carry,t7)))) = xor(carry,xor(sum,or(carry,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t2,xor(b,xor(t7,or(carry,t7)))))),bind(Y0,$fot(xor(b,xor(t2,xor(t7,or(carry,t7)))))),bind(Z0,$fot(xor(carry,xor(sum,or(carry,t7)))))]]) ).
cnf(refute_0_25259,plain,
( xor(b,xor(t2,xor(t7,or(carry,t7)))) != xor(carry,xor(sum,or(carry,t7)))
| xor(t2,xor(b,xor(t7,or(carry,t7)))) = xor(carry,xor(sum,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(b,xor(t7,or(carry,t7)))),xor(b,xor(t2,xor(t7,or(carry,t7))))) )],[refute_0_25257,refute_0_25258]) ).
cnf(refute_0_25260,plain,
xor(t2,xor(b,xor(t7,or(carry,t7)))) = xor(carry,xor(sum,or(carry,t7))),
inference(resolve,[$cnf( $equal(xor(b,xor(t2,xor(t7,or(carry,t7)))),xor(carry,xor(sum,or(carry,t7)))) )],[refute_0_25256,refute_0_25259]) ).
cnf(refute_0_25261,plain,
( and(t2,not(xor(b,xor(t7,or(carry,t7))))) != xor(t2,xor(b,xor(t7,or(carry,t7))))
| xor(t2,xor(b,xor(t7,or(carry,t7)))) != xor(carry,xor(sum,or(carry,t7)))
| and(t2,not(xor(b,xor(t7,or(carry,t7))))) = xor(carry,xor(sum,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t2,not(xor(b,xor(t7,or(carry,t7))))),xor(carry,xor(sum,or(carry,t7)))) ),[0],$fot(xor(t2,xor(b,xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_25262,plain,
( and(t2,not(xor(b,xor(t7,or(carry,t7))))) != xor(t2,xor(b,xor(t7,or(carry,t7))))
| and(t2,not(xor(b,xor(t7,or(carry,t7))))) = xor(carry,xor(sum,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(xor(t2,xor(b,xor(t7,or(carry,t7)))),xor(carry,xor(sum,or(carry,t7)))) )],[refute_0_25260,refute_0_25261]) ).
cnf(refute_0_25263,plain,
( or(and(t2,not(xor(b,xor(t7,or(carry,t7))))),ll0) != xor(t2,xor(b,xor(t7,or(carry,t7))))
| and(t2,not(xor(b,xor(t7,or(carry,t7))))) = xor(carry,xor(sum,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(t2,not(xor(b,xor(t7,or(carry,t7))))),xor(t2,xor(b,xor(t7,or(carry,t7))))) )],[refute_0_25252,refute_0_25262]) ).
cnf(refute_0_25264,plain,
and(t2,not(xor(b,xor(t7,or(carry,t7))))) = xor(carry,xor(sum,or(carry,t7))),
inference(resolve,[$cnf( $equal(or(and(t2,not(xor(b,xor(t7,or(carry,t7))))),ll0),xor(t2,xor(b,xor(t7,or(carry,t7))))) )],[refute_0_25249,refute_0_25263]) ).
cnf(refute_0_25265,plain,
xor(b,xor(t7,or(carry,t7))) = xor(b,xor(t7,or(carry,t7))),
introduced(tautology,[refl,[$fot(xor(b,xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_25266,plain,
( xor(b,xor(t7,or(carry,t7))) != xor(b,xor(t7,or(carry,t7)))
| xor(t7,or(carry,t7)) != xor(t7,or(a,t7))
| xor(b,xor(t7,or(carry,t7))) = xor(b,xor(t7,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,xor(t7,or(carry,t7))),xor(b,xor(t7,or(carry,t7)))) ),[1,1],$fot(xor(t7,or(a,t7)))]]) ).
cnf(refute_0_25267,plain,
( xor(t7,or(carry,t7)) != xor(t7,or(a,t7))
| xor(b,xor(t7,or(carry,t7))) = xor(b,xor(t7,or(a,t7))) ),
inference(resolve,[$cnf( $equal(xor(b,xor(t7,or(carry,t7))),xor(b,xor(t7,or(carry,t7)))) )],[refute_0_25265,refute_0_25266]) ).
cnf(refute_0_25268,plain,
xor(b,xor(t7,or(carry,t7))) = xor(b,xor(t7,or(a,t7))),
inference(resolve,[$cnf( $equal(xor(t7,or(carry,t7)),xor(t7,or(a,t7))) )],[refute_0_7858,refute_0_25267]) ).
cnf(refute_0_25269,plain,
not(xor(b,xor(t7,or(carry,t7)))) = not(xor(b,xor(t7,or(carry,t7)))),
introduced(tautology,[refl,[$fot(not(xor(b,xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_25270,plain,
( not(xor(b,xor(t7,or(carry,t7)))) != not(xor(b,xor(t7,or(carry,t7))))
| xor(b,xor(t7,or(carry,t7))) != xor(b,xor(t7,or(a,t7)))
| not(xor(b,xor(t7,or(carry,t7)))) = not(xor(b,xor(t7,or(a,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(b,xor(t7,or(carry,t7)))),not(xor(b,xor(t7,or(carry,t7))))) ),[1,0],$fot(xor(b,xor(t7,or(a,t7))))]]) ).
cnf(refute_0_25271,plain,
( xor(b,xor(t7,or(carry,t7))) != xor(b,xor(t7,or(a,t7)))
| not(xor(b,xor(t7,or(carry,t7)))) = not(xor(b,xor(t7,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(not(xor(b,xor(t7,or(carry,t7)))),not(xor(b,xor(t7,or(carry,t7))))) )],[refute_0_25269,refute_0_25270]) ).
cnf(refute_0_25272,plain,
not(xor(b,xor(t7,or(carry,t7)))) = not(xor(b,xor(t7,or(a,t7)))),
inference(resolve,[$cnf( $equal(xor(b,xor(t7,or(carry,t7))),xor(b,xor(t7,or(a,t7)))) )],[refute_0_25268,refute_0_25271]) ).
cnf(refute_0_25273,plain,
and(t2,not(xor(b,xor(t7,or(carry,t7))))) = and(t2,not(xor(b,xor(t7,or(carry,t7))))),
introduced(tautology,[refl,[$fot(and(t2,not(xor(b,xor(t7,or(carry,t7))))))]]) ).
cnf(refute_0_25274,plain,
( and(t2,not(xor(b,xor(t7,or(carry,t7))))) != and(t2,not(xor(b,xor(t7,or(carry,t7)))))
| not(xor(b,xor(t7,or(carry,t7)))) != not(xor(b,xor(t7,or(a,t7))))
| and(t2,not(xor(b,xor(t7,or(carry,t7))))) = and(t2,not(xor(b,xor(t7,or(a,t7))))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,not(xor(b,xor(t7,or(carry,t7))))),and(t2,not(xor(b,xor(t7,or(carry,t7)))))) ),[1,1],$fot(not(xor(b,xor(t7,or(a,t7)))))]]) ).
cnf(refute_0_25275,plain,
( not(xor(b,xor(t7,or(carry,t7)))) != not(xor(b,xor(t7,or(a,t7))))
| and(t2,not(xor(b,xor(t7,or(carry,t7))))) = and(t2,not(xor(b,xor(t7,or(a,t7))))) ),
inference(resolve,[$cnf( $equal(and(t2,not(xor(b,xor(t7,or(carry,t7))))),and(t2,not(xor(b,xor(t7,or(carry,t7)))))) )],[refute_0_25273,refute_0_25274]) ).
cnf(refute_0_25276,plain,
and(t2,not(xor(b,xor(t7,or(carry,t7))))) = and(t2,not(xor(b,xor(t7,or(a,t7))))),
inference(resolve,[$cnf( $equal(not(xor(b,xor(t7,or(carry,t7)))),not(xor(b,xor(t7,or(a,t7))))) )],[refute_0_25272,refute_0_25275]) ).
cnf(refute_0_25277,plain,
( and(t2,not(xor(b,xor(t7,or(carry,t7))))) != and(t2,not(xor(b,xor(t7,or(a,t7)))))
| and(t2,not(xor(b,xor(t7,or(carry,t7))))) != xor(carry,xor(sum,or(carry,t7)))
| and(t2,not(xor(b,xor(t7,or(a,t7))))) = xor(carry,xor(sum,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,not(xor(b,xor(t7,or(carry,t7))))),xor(carry,xor(sum,or(carry,t7)))) ),[0],$fot(and(t2,not(xor(b,xor(t7,or(a,t7))))))]]) ).
cnf(refute_0_25278,plain,
( and(t2,not(xor(b,xor(t7,or(carry,t7))))) != xor(carry,xor(sum,or(carry,t7)))
| and(t2,not(xor(b,xor(t7,or(a,t7))))) = xor(carry,xor(sum,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(t2,not(xor(b,xor(t7,or(carry,t7))))),and(t2,not(xor(b,xor(t7,or(a,t7)))))) )],[refute_0_25276,refute_0_25277]) ).
cnf(refute_0_25279,plain,
( and(t2,not(xor(b,xor(t7,or(a,t7))))) != xor(carry,xor(sum,or(carry,t7)))
| xor(carry,xor(sum,or(carry,t7))) != xor(carry,xor(sum,or(a,t7)))
| and(t2,not(xor(b,xor(t7,or(a,t7))))) = xor(carry,xor(sum,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t2,not(xor(b,xor(t7,or(a,t7))))),xor(carry,xor(sum,or(a,t7)))) ),[0],$fot(xor(carry,xor(sum,or(carry,t7))))]]) ).
cnf(refute_0_25280,plain,
( and(t2,not(xor(b,xor(t7,or(a,t7))))) != xor(carry,xor(sum,or(carry,t7)))
| and(t2,not(xor(b,xor(t7,or(a,t7))))) = xor(carry,xor(sum,or(a,t7))) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(sum,or(carry,t7))),xor(carry,xor(sum,or(a,t7)))) )],[refute_0_25089,refute_0_25279]) ).
cnf(refute_0_25281,plain,
( and(t2,not(xor(b,xor(t7,or(carry,t7))))) != xor(carry,xor(sum,or(carry,t7)))
| and(t2,not(xor(b,xor(t7,or(a,t7))))) = xor(carry,xor(sum,or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(t2,not(xor(b,xor(t7,or(a,t7))))),xor(carry,xor(sum,or(carry,t7)))) )],[refute_0_25278,refute_0_25280]) ).
cnf(refute_0_25282,plain,
and(t2,not(xor(b,xor(t7,or(a,t7))))) = xor(carry,xor(sum,or(a,t7))),
inference(resolve,[$cnf( $equal(and(t2,not(xor(b,xor(t7,or(carry,t7))))),xor(carry,xor(sum,or(carry,t7)))) )],[refute_0_25264,refute_0_25281]) ).
cnf(refute_0_25283,plain,
and(b,not(xor(t7,or(carry,t7)))) = and(b,not(xor(t7,or(carry,t7)))),
introduced(tautology,[refl,[$fot(and(b,not(xor(t7,or(carry,t7)))))]]) ).
cnf(refute_0_25284,plain,
( and(b,not(xor(t7,or(carry,t7)))) != and(b,not(xor(t7,or(carry,t7))))
| not(xor(t7,or(carry,t7))) != not(xor(t7,or(a,t7)))
| and(b,not(xor(t7,or(carry,t7)))) = and(b,not(xor(t7,or(a,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(b,not(xor(t7,or(carry,t7)))),and(b,not(xor(t7,or(carry,t7))))) ),[1,1],$fot(not(xor(t7,or(a,t7))))]]) ).
cnf(refute_0_25285,plain,
( not(xor(t7,or(carry,t7))) != not(xor(t7,or(a,t7)))
| and(b,not(xor(t7,or(carry,t7)))) = and(b,not(xor(t7,or(a,t7)))) ),
inference(resolve,[$cnf( $equal(and(b,not(xor(t7,or(carry,t7)))),and(b,not(xor(t7,or(carry,t7))))) )],[refute_0_25283,refute_0_25284]) ).
cnf(refute_0_25286,plain,
and(b,not(xor(t7,or(carry,t7)))) = and(b,not(xor(t7,or(a,t7)))),
inference(resolve,[$cnf( $equal(not(xor(t7,or(carry,t7))),not(xor(t7,or(a,t7)))) )],[refute_0_7862,refute_0_25285]) ).
cnf(refute_0_25287,plain,
( and(b,not(xor(t7,or(carry,t7)))) != and(b,not(xor(t7,or(a,t7))))
| and(b,not(xor(t7,or(carry,t7)))) != xor(b,xor(t7,or(carry,t7)))
| and(b,not(xor(t7,or(a,t7)))) = xor(b,xor(t7,or(carry,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(b,not(xor(t7,or(carry,t7)))),xor(b,xor(t7,or(carry,t7)))) ),[0],$fot(and(b,not(xor(t7,or(a,t7)))))]]) ).
cnf(refute_0_25288,plain,
( and(b,not(xor(t7,or(carry,t7)))) != xor(b,xor(t7,or(carry,t7)))
| and(b,not(xor(t7,or(a,t7)))) = xor(b,xor(t7,or(carry,t7))) ),
inference(resolve,[$cnf( $equal(and(b,not(xor(t7,or(carry,t7)))),and(b,not(xor(t7,or(a,t7))))) )],[refute_0_25286,refute_0_25287]) ).
cnf(refute_0_25289,plain,
( and(b,not(xor(t7,or(a,t7)))) != xor(b,xor(t7,or(carry,t7)))
| xor(b,xor(t7,or(carry,t7))) != xor(b,xor(t7,or(a,t7)))
| and(b,not(xor(t7,or(a,t7)))) = xor(b,xor(t7,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(b,not(xor(t7,or(a,t7)))),xor(b,xor(t7,or(a,t7)))) ),[0],$fot(xor(b,xor(t7,or(carry,t7))))]]) ).
cnf(refute_0_25290,plain,
( and(b,not(xor(t7,or(a,t7)))) != xor(b,xor(t7,or(carry,t7)))
| and(b,not(xor(t7,or(a,t7)))) = xor(b,xor(t7,or(a,t7))) ),
inference(resolve,[$cnf( $equal(xor(b,xor(t7,or(carry,t7))),xor(b,xor(t7,or(a,t7)))) )],[refute_0_25268,refute_0_25289]) ).
cnf(refute_0_25291,plain,
( and(b,not(xor(t7,or(carry,t7)))) != xor(b,xor(t7,or(carry,t7)))
| and(b,not(xor(t7,or(a,t7)))) = xor(b,xor(t7,or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(b,not(xor(t7,or(a,t7)))),xor(b,xor(t7,or(carry,t7)))) )],[refute_0_25288,refute_0_25290]) ).
cnf(refute_0_25292,plain,
and(b,not(xor(t7,or(a,t7)))) = xor(b,xor(t7,or(a,t7))),
inference(resolve,[$cnf( $equal(and(b,not(xor(t7,or(carry,t7)))),xor(b,xor(t7,or(carry,t7)))) )],[refute_0_25226,refute_0_25291]) ).
cnf(refute_0_25293,plain,
and(b,not(xor(t7,or(a,t7)))) = and(b,not(xor(t7,or(a,t7)))),
introduced(tautology,[refl,[$fot(and(b,not(xor(t7,or(a,t7)))))]]) ).
cnf(refute_0_25294,plain,
( and(b,not(xor(t7,or(a,t7)))) != and(b,not(xor(t7,or(a,t7))))
| not(xor(t7,or(a,t7))) != or(t7,not(carry))
| and(b,not(xor(t7,or(a,t7)))) = and(b,or(t7,not(carry))) ),
introduced(tautology,[equality,[$cnf( $equal(and(b,not(xor(t7,or(a,t7)))),and(b,not(xor(t7,or(a,t7))))) ),[1,1],$fot(or(t7,not(carry)))]]) ).
cnf(refute_0_25295,plain,
( not(xor(t7,or(a,t7))) != or(t7,not(carry))
| and(b,not(xor(t7,or(a,t7)))) = and(b,or(t7,not(carry))) ),
inference(resolve,[$cnf( $equal(and(b,not(xor(t7,or(a,t7)))),and(b,not(xor(t7,or(a,t7))))) )],[refute_0_25293,refute_0_25294]) ).
cnf(refute_0_25296,plain,
and(b,not(xor(t7,or(a,t7)))) = and(b,or(t7,not(carry))),
inference(resolve,[$cnf( $equal(not(xor(t7,or(a,t7))),or(t7,not(carry))) )],[refute_0_8435,refute_0_25295]) ).
cnf(refute_0_25297,plain,
( and(b,not(xor(t7,or(a,t7)))) != and(b,or(t7,not(carry)))
| and(b,not(xor(t7,or(a,t7)))) != xor(b,xor(t7,or(a,t7)))
| and(b,or(t7,not(carry))) = xor(b,xor(t7,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(b,not(xor(t7,or(a,t7)))),xor(b,xor(t7,or(a,t7)))) ),[0],$fot(and(b,or(t7,not(carry))))]]) ).
cnf(refute_0_25298,plain,
( and(b,not(xor(t7,or(a,t7)))) != xor(b,xor(t7,or(a,t7)))
| and(b,or(t7,not(carry))) = xor(b,xor(t7,or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(b,not(xor(t7,or(a,t7)))),and(b,or(t7,not(carry)))) )],[refute_0_25296,refute_0_25297]) ).
cnf(refute_0_25299,plain,
xor(b,xor(t7,or(a,t7))) = xor(b,xor(t7,or(a,t7))),
introduced(tautology,[refl,[$fot(xor(b,xor(t7,or(a,t7))))]]) ).
cnf(refute_0_25300,plain,
( xor(b,xor(t7,or(a,t7))) != xor(b,xor(t7,or(a,t7)))
| xor(t7,or(a,t7)) != and(carry,not(t7))
| xor(b,xor(t7,or(a,t7))) = xor(b,and(carry,not(t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,xor(t7,or(a,t7))),xor(b,xor(t7,or(a,t7)))) ),[1,1],$fot(and(carry,not(t7)))]]) ).
cnf(refute_0_25301,plain,
( xor(t7,or(a,t7)) != and(carry,not(t7))
| xor(b,xor(t7,or(a,t7))) = xor(b,and(carry,not(t7))) ),
inference(resolve,[$cnf( $equal(xor(b,xor(t7,or(a,t7))),xor(b,xor(t7,or(a,t7)))) )],[refute_0_25299,refute_0_25300]) ).
cnf(refute_0_25302,plain,
xor(b,xor(t7,or(a,t7))) = xor(b,and(carry,not(t7))),
inference(resolve,[$cnf( $equal(xor(t7,or(a,t7)),and(carry,not(t7))) )],[refute_0_8428,refute_0_25301]) ).
cnf(refute_0_25303,plain,
( and(b,or(t7,not(carry))) != xor(b,xor(t7,or(a,t7)))
| xor(b,xor(t7,or(a,t7))) != xor(b,and(carry,not(t7)))
| and(b,or(t7,not(carry))) = xor(b,and(carry,not(t7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(b,or(t7,not(carry))),xor(b,and(carry,not(t7)))) ),[0],$fot(xor(b,xor(t7,or(a,t7))))]]) ).
cnf(refute_0_25304,plain,
( and(b,or(t7,not(carry))) != xor(b,xor(t7,or(a,t7)))
| and(b,or(t7,not(carry))) = xor(b,and(carry,not(t7))) ),
inference(resolve,[$cnf( $equal(xor(b,xor(t7,or(a,t7))),xor(b,and(carry,not(t7)))) )],[refute_0_25302,refute_0_25303]) ).
cnf(refute_0_25305,plain,
( and(b,not(xor(t7,or(a,t7)))) != xor(b,xor(t7,or(a,t7)))
| and(b,or(t7,not(carry))) = xor(b,and(carry,not(t7))) ),
inference(resolve,[$cnf( $equal(and(b,or(t7,not(carry))),xor(b,xor(t7,or(a,t7)))) )],[refute_0_25298,refute_0_25304]) ).
cnf(refute_0_25306,plain,
and(b,or(t7,not(carry))) = xor(b,and(carry,not(t7))),
inference(resolve,[$cnf( $equal(and(b,not(xor(t7,or(a,t7)))),xor(b,xor(t7,or(a,t7)))) )],[refute_0_25292,refute_0_25305]) ).
cnf(refute_0_25307,plain,
( and(b,or(t7,not(carry))) != xor(b,and(carry,not(t7)))
| xor(b,and(carry,not(t7))) = and(b,or(t7,not(carry))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(b,or(t7,not(carry))))),bind(Y0,$fot(xor(b,and(carry,not(t7)))))]]) ).
cnf(refute_0_25308,plain,
xor(b,and(carry,not(t7))) = and(b,or(t7,not(carry))),
inference(resolve,[$cnf( $equal(and(b,or(t7,not(carry))),xor(b,and(carry,not(t7)))) )],[refute_0_25306,refute_0_25307]) ).
cnf(refute_0_25309,plain,
( xor(b,and(carry,not(t7))) != and(b,or(t7,not(carry)))
| xor(b,xor(t7,or(a,t7))) != xor(b,and(carry,not(t7)))
| xor(b,xor(t7,or(a,t7))) = and(b,or(t7,not(carry))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(b,xor(t7,or(a,t7))))),bind(Y0,$fot(xor(b,and(carry,not(t7))))),bind(Z0,$fot(and(b,or(t7,not(carry)))))]]) ).
cnf(refute_0_25310,plain,
( xor(b,and(carry,not(t7))) != and(b,or(t7,not(carry)))
| xor(b,xor(t7,or(a,t7))) = and(b,or(t7,not(carry))) ),
inference(resolve,[$cnf( $equal(xor(b,xor(t7,or(a,t7))),xor(b,and(carry,not(t7)))) )],[refute_0_25302,refute_0_25309]) ).
cnf(refute_0_25311,plain,
xor(b,xor(t7,or(a,t7))) = and(b,or(t7,not(carry))),
inference(resolve,[$cnf( $equal(xor(b,and(carry,not(t7))),and(b,or(t7,not(carry)))) )],[refute_0_25308,refute_0_25310]) ).
cnf(refute_0_25312,plain,
not(xor(b,xor(t7,or(a,t7)))) = not(xor(b,xor(t7,or(a,t7)))),
introduced(tautology,[refl,[$fot(not(xor(b,xor(t7,or(a,t7)))))]]) ).
cnf(refute_0_25313,plain,
( not(xor(b,xor(t7,or(a,t7)))) != not(xor(b,xor(t7,or(a,t7))))
| xor(b,xor(t7,or(a,t7))) != and(b,or(t7,not(carry)))
| not(xor(b,xor(t7,or(a,t7)))) = not(and(b,or(t7,not(carry)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(b,xor(t7,or(a,t7)))),not(xor(b,xor(t7,or(a,t7))))) ),[1,0],$fot(and(b,or(t7,not(carry))))]]) ).
cnf(refute_0_25314,plain,
( xor(b,xor(t7,or(a,t7))) != and(b,or(t7,not(carry)))
| not(xor(b,xor(t7,or(a,t7)))) = not(and(b,or(t7,not(carry)))) ),
inference(resolve,[$cnf( $equal(not(xor(b,xor(t7,or(a,t7)))),not(xor(b,xor(t7,or(a,t7))))) )],[refute_0_25312,refute_0_25313]) ).
cnf(refute_0_25315,plain,
not(xor(b,xor(t7,or(a,t7)))) = not(and(b,or(t7,not(carry)))),
inference(resolve,[$cnf( $equal(xor(b,xor(t7,or(a,t7))),and(b,or(t7,not(carry)))) )],[refute_0_25311,refute_0_25314]) ).
cnf(refute_0_25316,plain,
and(t2,not(xor(b,xor(t7,or(a,t7))))) = and(t2,not(xor(b,xor(t7,or(a,t7))))),
introduced(tautology,[refl,[$fot(and(t2,not(xor(b,xor(t7,or(a,t7))))))]]) ).
cnf(refute_0_25317,plain,
( and(t2,not(xor(b,xor(t7,or(a,t7))))) != and(t2,not(xor(b,xor(t7,or(a,t7)))))
| not(xor(b,xor(t7,or(a,t7)))) != not(and(b,or(t7,not(carry))))
| and(t2,not(xor(b,xor(t7,or(a,t7))))) = and(t2,not(and(b,or(t7,not(carry))))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,not(xor(b,xor(t7,or(a,t7))))),and(t2,not(xor(b,xor(t7,or(a,t7)))))) ),[1,1],$fot(not(and(b,or(t7,not(carry)))))]]) ).
cnf(refute_0_25318,plain,
( not(xor(b,xor(t7,or(a,t7)))) != not(and(b,or(t7,not(carry))))
| and(t2,not(xor(b,xor(t7,or(a,t7))))) = and(t2,not(and(b,or(t7,not(carry))))) ),
inference(resolve,[$cnf( $equal(and(t2,not(xor(b,xor(t7,or(a,t7))))),and(t2,not(xor(b,xor(t7,or(a,t7)))))) )],[refute_0_25316,refute_0_25317]) ).
cnf(refute_0_25319,plain,
and(t2,not(xor(b,xor(t7,or(a,t7))))) = and(t2,not(and(b,or(t7,not(carry))))),
inference(resolve,[$cnf( $equal(not(xor(b,xor(t7,or(a,t7)))),not(and(b,or(t7,not(carry))))) )],[refute_0_25315,refute_0_25318]) ).
cnf(refute_0_25320,plain,
( and(t2,not(xor(b,xor(t7,or(a,t7))))) != and(t2,not(and(b,or(t7,not(carry)))))
| and(t2,not(xor(b,xor(t7,or(a,t7))))) != xor(carry,xor(sum,or(a,t7)))
| and(t2,not(and(b,or(t7,not(carry))))) = xor(carry,xor(sum,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,not(xor(b,xor(t7,or(a,t7))))),xor(carry,xor(sum,or(a,t7)))) ),[0],$fot(and(t2,not(and(b,or(t7,not(carry))))))]]) ).
cnf(refute_0_25321,plain,
( and(t2,not(xor(b,xor(t7,or(a,t7))))) != xor(carry,xor(sum,or(a,t7)))
| and(t2,not(and(b,or(t7,not(carry))))) = xor(carry,xor(sum,or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(t2,not(xor(b,xor(t7,or(a,t7))))),and(t2,not(and(b,or(t7,not(carry)))))) )],[refute_0_25319,refute_0_25320]) ).
cnf(refute_0_25322,plain,
and(t2,not(and(b,or(t7,not(carry))))) = xor(carry,xor(sum,or(a,t7))),
inference(resolve,[$cnf( $equal(and(t2,not(xor(b,xor(t7,or(a,t7))))),xor(carry,xor(sum,or(a,t7)))) )],[refute_0_25282,refute_0_25321]) ).
cnf(refute_0_25323,plain,
not(not(xor(b,or(t1,t7)))) = xor(b,or(t1,t7)),
inference(subst,[],[not_involution:[bind(X,$fot(xor(b,or(t1,t7))))]]) ).
cnf(refute_0_25324,plain,
xor(b,not(or(t1,t7))) = not(xor(b,or(t1,t7))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(b)),bind(X_334,$fot(or(t1,t7)))]]) ).
cnf(refute_0_25325,plain,
xor(b,and(carry,not(t7))) = xor(b,and(carry,not(t7))),
introduced(tautology,[refl,[$fot(xor(b,and(carry,not(t7))))]]) ).
cnf(refute_0_25326,plain,
( and(carry,not(t7)) != not(or(t1,t7))
| xor(b,and(carry,not(t7))) != xor(b,and(carry,not(t7)))
| xor(b,and(carry,not(t7))) = xor(b,not(or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(b,and(carry,not(t7))),xor(b,and(carry,not(t7)))) ),[1,1],$fot(not(or(t1,t7)))]]) ).
cnf(refute_0_25327,plain,
( and(carry,not(t7)) != not(or(t1,t7))
| xor(b,and(carry,not(t7))) = xor(b,not(or(t1,t7))) ),
inference(resolve,[$cnf( $equal(xor(b,and(carry,not(t7))),xor(b,and(carry,not(t7)))) )],[refute_0_25325,refute_0_25326]) ).
cnf(refute_0_25328,plain,
xor(b,and(carry,not(t7))) = xor(b,not(or(t1,t7))),
inference(resolve,[$cnf( $equal(and(carry,not(t7)),not(or(t1,t7))) )],[refute_0_10975,refute_0_25327]) ).
cnf(refute_0_25329,plain,
( xor(b,and(carry,not(t7))) != xor(b,not(or(t1,t7)))
| xor(b,not(or(t1,t7))) != not(xor(b,or(t1,t7)))
| xor(b,and(carry,not(t7))) = not(xor(b,or(t1,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(b,and(carry,not(t7))))),bind(Y0,$fot(xor(b,not(or(t1,t7))))),bind(Z0,$fot(not(xor(b,or(t1,t7)))))]]) ).
cnf(refute_0_25330,plain,
( xor(b,not(or(t1,t7))) != not(xor(b,or(t1,t7)))
| xor(b,and(carry,not(t7))) = not(xor(b,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(xor(b,and(carry,not(t7))),xor(b,not(or(t1,t7)))) )],[refute_0_25328,refute_0_25329]) ).
cnf(refute_0_25331,plain,
xor(b,and(carry,not(t7))) = not(xor(b,or(t1,t7))),
inference(resolve,[$cnf( $equal(xor(b,not(or(t1,t7))),not(xor(b,or(t1,t7)))) )],[refute_0_25324,refute_0_25330]) ).
cnf(refute_0_25332,plain,
( and(b,or(t7,not(carry))) != xor(b,and(carry,not(t7)))
| xor(b,and(carry,not(t7))) != not(xor(b,or(t1,t7)))
| and(b,or(t7,not(carry))) = not(xor(b,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(b,or(t7,not(carry))),not(xor(b,or(t1,t7)))) ),[0],$fot(xor(b,and(carry,not(t7))))]]) ).
cnf(refute_0_25333,plain,
( and(b,or(t7,not(carry))) != xor(b,and(carry,not(t7)))
| and(b,or(t7,not(carry))) = not(xor(b,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(xor(b,and(carry,not(t7))),not(xor(b,or(t1,t7)))) )],[refute_0_25331,refute_0_25332]) ).
cnf(refute_0_25334,plain,
and(b,or(t7,not(carry))) = not(xor(b,or(t1,t7))),
inference(resolve,[$cnf( $equal(and(b,or(t7,not(carry))),xor(b,and(carry,not(t7)))) )],[refute_0_25306,refute_0_25333]) ).
cnf(refute_0_25335,plain,
not(and(b,or(t7,not(carry)))) = not(and(b,or(t7,not(carry)))),
introduced(tautology,[refl,[$fot(not(and(b,or(t7,not(carry)))))]]) ).
cnf(refute_0_25336,plain,
( and(b,or(t7,not(carry))) != not(xor(b,or(t1,t7)))
| not(and(b,or(t7,not(carry)))) != not(and(b,or(t7,not(carry))))
| not(and(b,or(t7,not(carry)))) = not(not(xor(b,or(t1,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(b,or(t7,not(carry)))),not(and(b,or(t7,not(carry))))) ),[1,0],$fot(not(xor(b,or(t1,t7))))]]) ).
cnf(refute_0_25337,plain,
( and(b,or(t7,not(carry))) != not(xor(b,or(t1,t7)))
| not(and(b,or(t7,not(carry)))) = not(not(xor(b,or(t1,t7)))) ),
inference(resolve,[$cnf( $equal(not(and(b,or(t7,not(carry)))),not(and(b,or(t7,not(carry))))) )],[refute_0_25335,refute_0_25336]) ).
cnf(refute_0_25338,plain,
not(and(b,or(t7,not(carry)))) = not(not(xor(b,or(t1,t7)))),
inference(resolve,[$cnf( $equal(and(b,or(t7,not(carry))),not(xor(b,or(t1,t7)))) )],[refute_0_25334,refute_0_25337]) ).
cnf(refute_0_25339,plain,
( not(and(b,or(t7,not(carry)))) != not(not(xor(b,or(t1,t7))))
| not(not(xor(b,or(t1,t7)))) != xor(b,or(t1,t7))
| not(and(b,or(t7,not(carry)))) = xor(b,or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(b,or(t7,not(carry)))))),bind(Y0,$fot(not(not(xor(b,or(t1,t7)))))),bind(Z0,$fot(xor(b,or(t1,t7))))]]) ).
cnf(refute_0_25340,plain,
( not(not(xor(b,or(t1,t7)))) != xor(b,or(t1,t7))
| not(and(b,or(t7,not(carry)))) = xor(b,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(not(and(b,or(t7,not(carry)))),not(not(xor(b,or(t1,t7))))) )],[refute_0_25338,refute_0_25339]) ).
cnf(refute_0_25341,plain,
not(and(b,or(t7,not(carry)))) = xor(b,or(t1,t7)),
inference(resolve,[$cnf( $equal(not(not(xor(b,or(t1,t7)))),xor(b,or(t1,t7))) )],[refute_0_25323,refute_0_25340]) ).
cnf(refute_0_25342,plain,
and(t2,not(and(b,or(t7,not(carry))))) = and(t2,not(and(b,or(t7,not(carry))))),
introduced(tautology,[refl,[$fot(and(t2,not(and(b,or(t7,not(carry))))))]]) ).
cnf(refute_0_25343,plain,
( and(t2,not(and(b,or(t7,not(carry))))) != and(t2,not(and(b,or(t7,not(carry)))))
| not(and(b,or(t7,not(carry)))) != xor(b,or(t1,t7))
| and(t2,not(and(b,or(t7,not(carry))))) = and(t2,xor(b,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,not(and(b,or(t7,not(carry))))),and(t2,not(and(b,or(t7,not(carry)))))) ),[1,1],$fot(xor(b,or(t1,t7)))]]) ).
cnf(refute_0_25344,plain,
( not(and(b,or(t7,not(carry)))) != xor(b,or(t1,t7))
| and(t2,not(and(b,or(t7,not(carry))))) = and(t2,xor(b,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(and(t2,not(and(b,or(t7,not(carry))))),and(t2,not(and(b,or(t7,not(carry)))))) )],[refute_0_25342,refute_0_25343]) ).
cnf(refute_0_25345,plain,
and(t2,not(and(b,or(t7,not(carry))))) = and(t2,xor(b,or(t1,t7))),
inference(resolve,[$cnf( $equal(not(and(b,or(t7,not(carry)))),xor(b,or(t1,t7))) )],[refute_0_25341,refute_0_25344]) ).
cnf(refute_0_25346,plain,
( and(t2,not(and(b,or(t7,not(carry))))) != and(t2,xor(b,or(t1,t7)))
| and(t2,not(and(b,or(t7,not(carry))))) != xor(carry,xor(sum,or(a,t7)))
| and(t2,xor(b,or(t1,t7))) = xor(carry,xor(sum,or(a,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t2,not(and(b,or(t7,not(carry))))),xor(carry,xor(sum,or(a,t7)))) ),[0],$fot(and(t2,xor(b,or(t1,t7))))]]) ).
cnf(refute_0_25347,plain,
( and(t2,not(and(b,or(t7,not(carry))))) != xor(carry,xor(sum,or(a,t7)))
| and(t2,xor(b,or(t1,t7))) = xor(carry,xor(sum,or(a,t7))) ),
inference(resolve,[$cnf( $equal(and(t2,not(and(b,or(t7,not(carry))))),and(t2,xor(b,or(t1,t7)))) )],[refute_0_25345,refute_0_25346]) ).
cnf(refute_0_25348,plain,
( and(t2,xor(b,or(t1,t7))) != xor(carry,xor(sum,or(a,t7)))
| xor(carry,xor(sum,or(a,t7))) != xor(carry,and(t6,or(t1,t7)))
| and(t2,xor(b,or(t1,t7))) = xor(carry,and(t6,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t2,xor(b,or(t1,t7))),xor(carry,and(t6,or(t1,t7)))) ),[0],$fot(xor(carry,xor(sum,or(a,t7))))]]) ).
cnf(refute_0_25349,plain,
( and(t2,xor(b,or(t1,t7))) != xor(carry,xor(sum,or(a,t7)))
| and(t2,xor(b,or(t1,t7))) = xor(carry,and(t6,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(sum,or(a,t7))),xor(carry,and(t6,or(t1,t7)))) )],[refute_0_25100,refute_0_25348]) ).
cnf(refute_0_25350,plain,
( and(t2,not(and(b,or(t7,not(carry))))) != xor(carry,xor(sum,or(a,t7)))
| and(t2,xor(b,or(t1,t7))) = xor(carry,and(t6,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(and(t2,xor(b,or(t1,t7))),xor(carry,xor(sum,or(a,t7)))) )],[refute_0_25347,refute_0_25349]) ).
cnf(refute_0_25351,plain,
and(t2,xor(b,or(t1,t7))) = xor(carry,and(t6,or(t1,t7))),
inference(resolve,[$cnf( $equal(and(t2,not(and(b,or(t7,not(carry))))),xor(carry,xor(sum,or(a,t7)))) )],[refute_0_25322,refute_0_25350]) ).
cnf(refute_0_25352,plain,
( and(t2,xor(b,or(t1,t7))) != xor(carry,and(t6,or(t1,t7)))
| xor(carry,and(t6,or(t1,t7))) = and(t2,xor(b,or(t1,t7))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(t2,xor(b,or(t1,t7))))),bind(Y0,$fot(xor(carry,and(t6,or(t1,t7)))))]]) ).
cnf(refute_0_25353,plain,
xor(carry,and(t6,or(t1,t7))) = and(t2,xor(b,or(t1,t7))),
inference(resolve,[$cnf( $equal(and(t2,xor(b,or(t1,t7))),xor(carry,and(t6,or(t1,t7)))) )],[refute_0_25351,refute_0_25352]) ).
cnf(refute_0_25354,plain,
and(not(t3),xor(carry,and(t6,or(t1,t7)))) = and(not(t3),xor(carry,and(t6,or(t1,t7)))),
introduced(tautology,[refl,[$fot(and(not(t3),xor(carry,and(t6,or(t1,t7)))))]]) ).
cnf(refute_0_25355,plain,
( and(not(t3),xor(carry,and(t6,or(t1,t7)))) != and(not(t3),xor(carry,and(t6,or(t1,t7))))
| xor(carry,and(t6,or(t1,t7))) != and(t2,xor(b,or(t1,t7)))
| and(not(t3),xor(carry,and(t6,or(t1,t7)))) = and(not(t3),and(t2,xor(b,or(t1,t7)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t3),xor(carry,and(t6,or(t1,t7)))),and(not(t3),xor(carry,and(t6,or(t1,t7))))) ),[1,1],$fot(and(t2,xor(b,or(t1,t7))))]]) ).
cnf(refute_0_25356,plain,
( xor(carry,and(t6,or(t1,t7))) != and(t2,xor(b,or(t1,t7)))
| and(not(t3),xor(carry,and(t6,or(t1,t7)))) = and(not(t3),and(t2,xor(b,or(t1,t7)))) ),
inference(resolve,[$cnf( $equal(and(not(t3),xor(carry,and(t6,or(t1,t7)))),and(not(t3),xor(carry,and(t6,or(t1,t7))))) )],[refute_0_25354,refute_0_25355]) ).
cnf(refute_0_25357,plain,
and(not(t3),xor(carry,and(t6,or(t1,t7)))) = and(not(t3),and(t2,xor(b,or(t1,t7)))),
inference(resolve,[$cnf( $equal(xor(carry,and(t6,or(t1,t7))),and(t2,xor(b,or(t1,t7)))) )],[refute_0_25353,refute_0_25356]) ).
cnf(refute_0_25358,plain,
( and(not(t3),and(t2,xor(b,or(t1,t7)))) != and(not(t3),xor(b,or(t1,t7)))
| and(not(t3),xor(carry,and(t6,or(t1,t7)))) != and(not(t3),and(t2,xor(b,or(t1,t7))))
| and(not(t3),xor(carry,and(t6,or(t1,t7)))) = and(not(t3),xor(b,or(t1,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t3),xor(carry,and(t6,or(t1,t7)))))),bind(Y0,$fot(and(not(t3),and(t2,xor(b,or(t1,t7)))))),bind(Z0,$fot(and(not(t3),xor(b,or(t1,t7)))))]]) ).
cnf(refute_0_25359,plain,
( and(not(t3),and(t2,xor(b,or(t1,t7)))) != and(not(t3),xor(b,or(t1,t7)))
| and(not(t3),xor(carry,and(t6,or(t1,t7)))) = and(not(t3),xor(b,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(and(not(t3),xor(carry,and(t6,or(t1,t7)))),and(not(t3),and(t2,xor(b,or(t1,t7))))) )],[refute_0_25357,refute_0_25358]) ).
cnf(refute_0_25360,plain,
and(not(t3),xor(carry,and(t6,or(t1,t7)))) = and(not(t3),xor(b,or(t1,t7))),
inference(resolve,[$cnf( $equal(and(not(t3),and(t2,xor(b,or(t1,t7)))),and(not(t3),xor(b,or(t1,t7)))) )],[refute_0_25148,refute_0_25359]) ).
cnf(refute_0_25361,plain,
( and(not(t3),xor(carry,and(t6,or(t1,t7)))) != and(not(t3),xor(b,or(t1,t7)))
| and(not(t3),xor(carry,and(t6,or(t1,t7)))) != ll0
| and(not(t3),xor(b,or(t1,t7))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t3),xor(carry,and(t6,or(t1,t7)))),ll0) ),[0],$fot(and(not(t3),xor(b,or(t1,t7))))]]) ).
cnf(refute_0_25362,plain,
( and(not(t3),xor(carry,and(t6,or(t1,t7)))) != ll0
| and(not(t3),xor(b,or(t1,t7))) = ll0 ),
inference(resolve,[$cnf( $equal(and(not(t3),xor(carry,and(t6,or(t1,t7)))),and(not(t3),xor(b,or(t1,t7)))) )],[refute_0_25360,refute_0_25361]) ).
cnf(refute_0_25363,plain,
and(not(t3),xor(b,or(t1,t7))) = ll0,
inference(resolve,[$cnf( $equal(and(not(t3),xor(carry,and(t6,or(t1,t7)))),ll0) )],[refute_0_25107,refute_0_25362]) ).
cnf(refute_0_25364,plain,
( and(not(t3),xor(b,or(t1,t7))) != ll0
| or(and(t3,not(xor(b,or(t1,t7)))),and(not(t3),xor(b,or(t1,t7)))) != xor(t3,xor(b,or(t1,t7)))
| or(and(t3,not(xor(b,or(t1,t7)))),ll0) = xor(t3,xor(b,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t3,not(xor(b,or(t1,t7)))),and(not(t3),xor(b,or(t1,t7)))),xor(t3,xor(b,or(t1,t7)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_25365,plain,
( or(and(t3,not(xor(b,or(t1,t7)))),and(not(t3),xor(b,or(t1,t7)))) != xor(t3,xor(b,or(t1,t7)))
| or(and(t3,not(xor(b,or(t1,t7)))),ll0) = xor(t3,xor(b,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(and(not(t3),xor(b,or(t1,t7))),ll0) )],[refute_0_25363,refute_0_25364]) ).
cnf(refute_0_25366,plain,
or(and(t3,not(xor(b,or(t1,t7)))),ll0) = xor(t3,xor(b,or(t1,t7))),
inference(resolve,[$cnf( $equal(or(and(t3,not(xor(b,or(t1,t7)))),and(not(t3),xor(b,or(t1,t7)))),xor(t3,xor(b,or(t1,t7)))) )],[refute_0_25009,refute_0_25365]) ).
cnf(refute_0_25367,plain,
and(b,and(t3,or(t1,t7))) = and(not(t1),or(t1,t7)),
inference(subst,[],[refute_0_24971:[bind(Z,$fot(or(t1,t7)))]]) ).
cnf(refute_0_25368,plain,
and(t3,and(b,or(t1,t7))) = and(b,and(t3,or(t1,t7))),
inference(subst,[],[refute_0_4220:[bind(X,$fot(b)),bind(Z,$fot(or(t1,t7))),bind(X_669,$fot(t3))]]) ).
cnf(refute_0_25369,plain,
( and(b,and(t3,or(t1,t7))) != and(not(t1),or(t1,t7))
| and(t3,and(b,or(t1,t7))) != and(b,and(t3,or(t1,t7)))
| and(t3,and(b,or(t1,t7))) = and(not(t1),or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t3,and(b,or(t1,t7))))),bind(Y0,$fot(and(b,and(t3,or(t1,t7))))),bind(Z0,$fot(and(not(t1),or(t1,t7))))]]) ).
cnf(refute_0_25370,plain,
( and(b,and(t3,or(t1,t7))) != and(not(t1),or(t1,t7))
| and(t3,and(b,or(t1,t7))) = and(not(t1),or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(t3,and(b,or(t1,t7))),and(b,and(t3,or(t1,t7)))) )],[refute_0_25368,refute_0_25369]) ).
cnf(refute_0_25371,plain,
and(t3,and(b,or(t1,t7))) = and(not(t1),or(t1,t7)),
inference(resolve,[$cnf( $equal(and(b,and(t3,or(t1,t7))),and(not(t1),or(t1,t7))) )],[refute_0_25367,refute_0_25370]) ).
cnf(refute_0_25372,plain,
and(b,or(t7,not(carry))) = and(b,or(t7,not(carry))),
introduced(tautology,[refl,[$fot(and(b,or(t7,not(carry))))]]) ).
cnf(refute_0_25373,plain,
( and(b,or(t7,not(carry))) != and(b,or(t7,not(carry)))
| or(t7,not(carry)) != or(t1,t7)
| and(b,or(t7,not(carry))) = and(b,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(b,or(t7,not(carry))),and(b,or(t7,not(carry)))) ),[1,1],$fot(or(t1,t7))]]) ).
cnf(refute_0_25374,plain,
( or(t7,not(carry)) != or(t1,t7)
| and(b,or(t7,not(carry))) = and(b,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(b,or(t7,not(carry))),and(b,or(t7,not(carry)))) )],[refute_0_25372,refute_0_25373]) ).
cnf(refute_0_25375,plain,
and(b,or(t7,not(carry))) = and(b,or(t1,t7)),
inference(resolve,[$cnf( $equal(or(t7,not(carry)),or(t1,t7)) )],[refute_0_11951,refute_0_25374]) ).
cnf(refute_0_25376,plain,
( and(b,or(t7,not(carry))) != and(b,or(t1,t7))
| and(b,or(t7,not(carry))) != not(xor(b,or(t1,t7)))
| and(b,or(t1,t7)) = not(xor(b,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(b,or(t7,not(carry))),not(xor(b,or(t1,t7)))) ),[0],$fot(and(b,or(t1,t7)))]]) ).
cnf(refute_0_25377,plain,
( and(b,or(t7,not(carry))) != not(xor(b,or(t1,t7)))
| and(b,or(t1,t7)) = not(xor(b,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(and(b,or(t7,not(carry))),and(b,or(t1,t7))) )],[refute_0_25375,refute_0_25376]) ).
cnf(refute_0_25378,plain,
and(b,or(t1,t7)) = not(xor(b,or(t1,t7))),
inference(resolve,[$cnf( $equal(and(b,or(t7,not(carry))),not(xor(b,or(t1,t7)))) )],[refute_0_25334,refute_0_25377]) ).
cnf(refute_0_25379,plain,
( and(b,or(t1,t7)) != not(xor(b,or(t1,t7)))
| not(xor(b,or(t1,t7))) = and(b,or(t1,t7)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(b,or(t1,t7)))),bind(Y0,$fot(not(xor(b,or(t1,t7)))))]]) ).
cnf(refute_0_25380,plain,
not(xor(b,or(t1,t7))) = and(b,or(t1,t7)),
inference(resolve,[$cnf( $equal(and(b,or(t1,t7)),not(xor(b,or(t1,t7)))) )],[refute_0_25378,refute_0_25379]) ).
cnf(refute_0_25381,plain,
and(t3,not(xor(b,or(t1,t7)))) = and(t3,not(xor(b,or(t1,t7)))),
introduced(tautology,[refl,[$fot(and(t3,not(xor(b,or(t1,t7)))))]]) ).
cnf(refute_0_25382,plain,
( and(t3,not(xor(b,or(t1,t7)))) != and(t3,not(xor(b,or(t1,t7))))
| not(xor(b,or(t1,t7))) != and(b,or(t1,t7))
| and(t3,not(xor(b,or(t1,t7)))) = and(t3,and(b,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t3,not(xor(b,or(t1,t7)))),and(t3,not(xor(b,or(t1,t7))))) ),[1,1],$fot(and(b,or(t1,t7)))]]) ).
cnf(refute_0_25383,plain,
( not(xor(b,or(t1,t7))) != and(b,or(t1,t7))
| and(t3,not(xor(b,or(t1,t7)))) = and(t3,and(b,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(and(t3,not(xor(b,or(t1,t7)))),and(t3,not(xor(b,or(t1,t7))))) )],[refute_0_25381,refute_0_25382]) ).
cnf(refute_0_25384,plain,
and(t3,not(xor(b,or(t1,t7)))) = and(t3,and(b,or(t1,t7))),
inference(resolve,[$cnf( $equal(not(xor(b,or(t1,t7))),and(b,or(t1,t7))) )],[refute_0_25380,refute_0_25383]) ).
cnf(refute_0_25385,plain,
( and(t3,and(b,or(t1,t7))) != and(not(t1),or(t1,t7))
| and(t3,not(xor(b,or(t1,t7)))) != and(t3,and(b,or(t1,t7)))
| and(t3,not(xor(b,or(t1,t7)))) = and(not(t1),or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t3,not(xor(b,or(t1,t7)))))),bind(Y0,$fot(and(t3,and(b,or(t1,t7))))),bind(Z0,$fot(and(not(t1),or(t1,t7))))]]) ).
cnf(refute_0_25386,plain,
( and(t3,and(b,or(t1,t7))) != and(not(t1),or(t1,t7))
| and(t3,not(xor(b,or(t1,t7)))) = and(not(t1),or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(t3,not(xor(b,or(t1,t7)))),and(t3,and(b,or(t1,t7)))) )],[refute_0_25384,refute_0_25385]) ).
cnf(refute_0_25387,plain,
and(t3,not(xor(b,or(t1,t7)))) = and(not(t1),or(t1,t7)),
inference(resolve,[$cnf( $equal(and(t3,and(b,or(t1,t7))),and(not(t1),or(t1,t7))) )],[refute_0_25371,refute_0_25386]) ).
cnf(refute_0_25388,plain,
or(and(t3,not(xor(b,or(t1,t7)))),ll0) = and(t3,not(xor(b,or(t1,t7)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t3,not(xor(b,or(t1,t7))))))]]) ).
cnf(refute_0_25389,plain,
( and(t3,not(xor(b,or(t1,t7)))) != and(not(t1),or(t1,t7))
| or(and(t3,not(xor(b,or(t1,t7)))),ll0) != and(t3,not(xor(b,or(t1,t7))))
| or(and(t3,not(xor(b,or(t1,t7)))),ll0) = and(not(t1),or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(t3,not(xor(b,or(t1,t7)))),ll0))),bind(Y0,$fot(and(t3,not(xor(b,or(t1,t7)))))),bind(Z0,$fot(and(not(t1),or(t1,t7))))]]) ).
cnf(refute_0_25390,plain,
( and(t3,not(xor(b,or(t1,t7)))) != and(not(t1),or(t1,t7))
| or(and(t3,not(xor(b,or(t1,t7)))),ll0) = and(not(t1),or(t1,t7)) ),
inference(resolve,[$cnf( $equal(or(and(t3,not(xor(b,or(t1,t7)))),ll0),and(t3,not(xor(b,or(t1,t7))))) )],[refute_0_25388,refute_0_25389]) ).
cnf(refute_0_25391,plain,
or(and(t3,not(xor(b,or(t1,t7)))),ll0) = and(not(t1),or(t1,t7)),
inference(resolve,[$cnf( $equal(and(t3,not(xor(b,or(t1,t7)))),and(not(t1),or(t1,t7))) )],[refute_0_25387,refute_0_25390]) ).
cnf(refute_0_25392,plain,
( or(and(t3,not(xor(b,or(t1,t7)))),ll0) != and(not(t1),or(t1,t7))
| or(and(t3,not(xor(b,or(t1,t7)))),ll0) != xor(t3,xor(b,or(t1,t7)))
| and(not(t1),or(t1,t7)) = xor(t3,xor(b,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t3,not(xor(b,or(t1,t7)))),ll0),xor(t3,xor(b,or(t1,t7)))) ),[0],$fot(and(not(t1),or(t1,t7)))]]) ).
cnf(refute_0_25393,plain,
( or(and(t3,not(xor(b,or(t1,t7)))),ll0) != xor(t3,xor(b,or(t1,t7)))
| and(not(t1),or(t1,t7)) = xor(t3,xor(b,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(or(and(t3,not(xor(b,or(t1,t7)))),ll0),and(not(t1),or(t1,t7))) )],[refute_0_25391,refute_0_25392]) ).
cnf(refute_0_25394,plain,
xor(b,xor(t3,or(t1,t7))) = xor(t1,or(t1,t7)),
inference(subst,[],[refute_0_16961:[bind(Z,$fot(or(t1,t7)))]]) ).
cnf(refute_0_25395,plain,
xor(t3,xor(b,or(t1,t7))) = xor(b,xor(t3,or(t1,t7))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(b)),bind(X_334,$fot(t3)),bind(X_335,$fot(or(t1,t7)))]]) ).
cnf(refute_0_25396,plain,
( xor(b,xor(t3,or(t1,t7))) != xor(t1,or(t1,t7))
| xor(t3,xor(b,or(t1,t7))) != xor(b,xor(t3,or(t1,t7)))
| xor(t3,xor(b,or(t1,t7))) = xor(t1,or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t3,xor(b,or(t1,t7))))),bind(Y0,$fot(xor(b,xor(t3,or(t1,t7))))),bind(Z0,$fot(xor(t1,or(t1,t7))))]]) ).
cnf(refute_0_25397,plain,
( xor(b,xor(t3,or(t1,t7))) != xor(t1,or(t1,t7))
| xor(t3,xor(b,or(t1,t7))) = xor(t1,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(b,or(t1,t7))),xor(b,xor(t3,or(t1,t7)))) )],[refute_0_25395,refute_0_25396]) ).
cnf(refute_0_25398,plain,
xor(t3,xor(b,or(t1,t7))) = xor(t1,or(t1,t7)),
inference(resolve,[$cnf( $equal(xor(b,xor(t3,or(t1,t7))),xor(t1,or(t1,t7))) )],[refute_0_25394,refute_0_25397]) ).
cnf(refute_0_25399,plain,
( and(not(t1),or(t1,t7)) != xor(t3,xor(b,or(t1,t7)))
| xor(t3,xor(b,or(t1,t7))) != xor(t1,or(t1,t7))
| and(not(t1),or(t1,t7)) = xor(t1,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(t1),or(t1,t7)),xor(t1,or(t1,t7))) ),[0],$fot(xor(t3,xor(b,or(t1,t7))))]]) ).
cnf(refute_0_25400,plain,
( and(not(t1),or(t1,t7)) != xor(t3,xor(b,or(t1,t7)))
| and(not(t1),or(t1,t7)) = xor(t1,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(xor(t3,xor(b,or(t1,t7))),xor(t1,or(t1,t7))) )],[refute_0_25398,refute_0_25399]) ).
cnf(refute_0_25401,plain,
( or(and(t3,not(xor(b,or(t1,t7)))),ll0) != xor(t3,xor(b,or(t1,t7)))
| and(not(t1),or(t1,t7)) = xor(t1,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(not(t1),or(t1,t7)),xor(t3,xor(b,or(t1,t7)))) )],[refute_0_25393,refute_0_25400]) ).
cnf(refute_0_25402,plain,
and(not(t1),or(t1,t7)) = xor(t1,or(t1,t7)),
inference(resolve,[$cnf( $equal(or(and(t3,not(xor(b,or(t1,t7)))),ll0),xor(t3,xor(b,or(t1,t7)))) )],[refute_0_25366,refute_0_25401]) ).
cnf(refute_0_25403,plain,
( and(not(t1),or(t1,t7)) != xor(t1,or(t1,t7))
| not(and(or(t1,t7),not(t1))) != not(and(not(t1),or(t1,t7)))
| not(and(or(t1,t7),not(t1))) = not(xor(t1,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(t1,t7),not(t1))),not(and(not(t1),or(t1,t7)))) ),[1,0],$fot(xor(t1,or(t1,t7)))]]) ).
cnf(refute_0_25404,plain,
( not(and(or(t1,t7),not(t1))) != not(and(not(t1),or(t1,t7)))
| not(and(or(t1,t7),not(t1))) = not(xor(t1,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(and(not(t1),or(t1,t7)),xor(t1,or(t1,t7))) )],[refute_0_25402,refute_0_25403]) ).
cnf(refute_0_25405,plain,
not(and(or(t1,t7),not(t1))) = not(xor(t1,or(t1,t7))),
inference(resolve,[$cnf( $equal(not(and(or(t1,t7),not(t1))),not(and(not(t1),or(t1,t7)))) )],[refute_0_25008,refute_0_25404]) ).
cnf(refute_0_25406,plain,
not(and(not(t1),or(t1,t7))) = or(t1,not(or(t1,t7))),
inference(subst,[],[refute_0_787:[bind(X,$fot(t1)),bind(X_32,$fot(or(t1,t7)))]]) ).
cnf(refute_0_25407,plain,
( not(and(not(t1),or(t1,t7))) != or(t1,not(or(t1,t7)))
| not(and(or(t1,t7),not(t1))) != not(and(not(t1),or(t1,t7)))
| not(and(or(t1,t7),not(t1))) = or(t1,not(or(t1,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(or(t1,t7),not(t1))))),bind(Y0,$fot(not(and(not(t1),or(t1,t7))))),bind(Z0,$fot(or(t1,not(or(t1,t7)))))]]) ).
cnf(refute_0_25408,plain,
( not(and(not(t1),or(t1,t7))) != or(t1,not(or(t1,t7)))
| not(and(or(t1,t7),not(t1))) = or(t1,not(or(t1,t7))) ),
inference(resolve,[$cnf( $equal(not(and(or(t1,t7),not(t1))),not(and(not(t1),or(t1,t7)))) )],[refute_0_25008,refute_0_25407]) ).
cnf(refute_0_25409,plain,
not(and(or(t1,t7),not(t1))) = or(t1,not(or(t1,t7))),
inference(resolve,[$cnf( $equal(not(and(not(t1),or(t1,t7))),or(t1,not(or(t1,t7)))) )],[refute_0_25406,refute_0_25408]) ).
cnf(refute_0_25410,plain,
( not(and(or(t1,t7),not(t1))) != not(xor(t1,or(t1,t7)))
| not(and(or(t1,t7),not(t1))) != or(t1,not(or(t1,t7)))
| or(t1,not(or(t1,t7))) = not(xor(t1,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(t1,t7),not(t1))),not(xor(t1,or(t1,t7)))) ),[0],$fot(or(t1,not(or(t1,t7))))]]) ).
cnf(refute_0_25411,plain,
( not(and(or(t1,t7),not(t1))) != not(xor(t1,or(t1,t7)))
| or(t1,not(or(t1,t7))) = not(xor(t1,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(not(and(or(t1,t7),not(t1))),or(t1,not(or(t1,t7)))) )],[refute_0_25409,refute_0_25410]) ).
cnf(refute_0_25412,plain,
or(t1,not(or(t1,t7))) = not(xor(t1,or(t1,t7))),
inference(resolve,[$cnf( $equal(not(and(or(t1,t7),not(t1))),not(xor(t1,or(t1,t7)))) )],[refute_0_25405,refute_0_25411]) ).
cnf(refute_0_25413,plain,
and(and(b,not(t1)),X_222) = and(b,and(not(t1),X_222)),
inference(subst,[],[and_associative:[bind(X,$fot(b)),bind(Y,$fot(not(t1))),bind(Z,$fot(X_222))]]) ).
cnf(refute_0_25414,plain,
( and(and(b,not(t1)),X_222) != and(b,and(not(t1),X_222))
| and(b,not(t1)) != not(t1)
| and(not(t1),X_222) = and(b,and(not(t1),X_222)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(b,not(t1)),X_222),and(b,and(not(t1),X_222))) ),[0,0],$fot(not(t1))]]) ).
cnf(refute_0_25415,plain,
( and(and(b,not(t1)),X_222) != and(b,and(not(t1),X_222))
| and(not(t1),X_222) = and(b,and(not(t1),X_222)) ),
inference(resolve,[$cnf( $equal(and(b,not(t1)),not(t1)) )],[refute_0_1195,refute_0_25414]) ).
cnf(refute_0_25416,plain,
and(not(t1),X_222) = and(b,and(not(t1),X_222)),
inference(resolve,[$cnf( $equal(and(and(b,not(t1)),X_222),and(b,and(not(t1),X_222))) )],[refute_0_25413,refute_0_25415]) ).
cnf(refute_0_25417,plain,
and(not(t1),not(Y)) = and(b,and(not(t1),not(Y))),
inference(subst,[],[refute_0_25416:[bind(X_222,$fot(not(Y)))]]) ).
cnf(refute_0_25418,plain,
not(or(t1,Y)) = and(not(t1),not(Y)),
inference(subst,[],[or_demorgan:[bind(X,$fot(t1))]]) ).
cnf(refute_0_25419,plain,
( not(or(t1,Y)) != and(not(t1),not(Y))
| and(not(t1),not(Y)) = not(or(t1,Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(t1,Y)))),bind(Y0,$fot(and(not(t1),not(Y))))]]) ).
cnf(refute_0_25420,plain,
and(not(t1),not(Y)) = not(or(t1,Y)),
inference(resolve,[$cnf( $equal(not(or(t1,Y)),and(not(t1),not(Y))) )],[refute_0_25418,refute_0_25419]) ).
cnf(refute_0_25421,plain,
( and(not(t1),not(Y)) != and(b,and(not(t1),not(Y)))
| and(not(t1),not(Y)) != not(or(t1,Y))
| and(not(t1),not(Y)) = and(b,not(or(t1,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t1),not(Y)),and(b,and(not(t1),not(Y)))) ),[1,1],$fot(not(or(t1,Y)))]]) ).
cnf(refute_0_25422,plain,
( and(not(t1),not(Y)) != and(b,and(not(t1),not(Y)))
| and(not(t1),not(Y)) = and(b,not(or(t1,Y))) ),
inference(resolve,[$cnf( $equal(and(not(t1),not(Y)),not(or(t1,Y))) )],[refute_0_25420,refute_0_25421]) ).
cnf(refute_0_25423,plain,
and(not(t1),not(Y)) = and(b,not(or(t1,Y))),
inference(resolve,[$cnf( $equal(and(not(t1),not(Y)),and(b,and(not(t1),not(Y)))) )],[refute_0_25417,refute_0_25422]) ).
cnf(refute_0_25424,plain,
( and(not(t1),not(Y)) != and(b,not(or(t1,Y)))
| and(not(t1),not(Y)) != not(or(t1,Y))
| not(or(t1,Y)) = and(b,not(or(t1,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t1),not(Y)),and(b,not(or(t1,Y)))) ),[0],$fot(not(or(t1,Y)))]]) ).
cnf(refute_0_25425,plain,
( and(not(t1),not(Y)) != and(b,not(or(t1,Y)))
| not(or(t1,Y)) = and(b,not(or(t1,Y))) ),
inference(resolve,[$cnf( $equal(and(not(t1),not(Y)),not(or(t1,Y))) )],[refute_0_25420,refute_0_25424]) ).
cnf(refute_0_25426,plain,
not(or(t1,Y)) = and(b,not(or(t1,Y))),
inference(resolve,[$cnf( $equal(and(not(t1),not(Y)),and(b,not(or(t1,Y)))) )],[refute_0_25423,refute_0_25425]) ).
cnf(refute_0_25427,plain,
( not(or(t1,Y)) != and(b,not(or(t1,Y)))
| and(b,not(or(t1,Y))) = not(or(t1,Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(t1,Y)))),bind(Y0,$fot(and(b,not(or(t1,Y)))))]]) ).
cnf(refute_0_25428,plain,
and(b,not(or(t1,Y))) = not(or(t1,Y)),
inference(resolve,[$cnf( $equal(not(or(t1,Y)),and(b,not(or(t1,Y)))) )],[refute_0_25426,refute_0_25427]) ).
cnf(refute_0_25429,plain,
and(b,not(or(t1,t7))) = not(or(t1,t7)),
inference(subst,[],[refute_0_25428:[bind(Y,$fot(t7))]]) ).
cnf(refute_0_25430,plain,
and(not(t4),not(xor(sum,xor(t1,or(carry,cin))))) = and(t5,and(t6,not(xor(sum,xor(t1,or(carry,cin)))))),
inference(subst,[],[refute_0_5450:[bind(Z,$fot(not(xor(sum,xor(t1,or(carry,cin))))))]]) ).
cnf(refute_0_25431,plain,
or(and(t6,not(xor(sum,xor(t1,or(carry,cin))))),and(not(t6),xor(sum,xor(t1,or(carry,cin))))) = xor(t6,xor(sum,xor(t1,or(carry,cin)))),
inference(subst,[],[refute_0_9:[bind(X,$fot(t6)),bind(Y,$fot(xor(sum,xor(t1,or(carry,cin)))))]]) ).
cnf(refute_0_25432,plain,
ll0 = xor(or(t6,not(xor(sum,xor(t1,or(carry,cin))))),or(not(xor(sum,xor(t1,or(carry,cin)))),t6)),
inference(subst,[],[refute_0_131:[bind(X_146,$fot(not(xor(sum,xor(t1,or(carry,cin)))))),bind(X_147,$fot(t6))]]) ).
cnf(refute_0_25433,plain,
ll1 = or(t6,not(xor(t6,and(X_208,cin)))),
inference(subst,[],[refute_0_2350:[bind(X_207,$fot(X_208))]]) ).
cnf(refute_0_25434,plain,
and(cin,X_208) = and(X_208,cin),
inference(subst,[],[and_commutative:[bind(X,$fot(cin)),bind(Y,$fot(X_208))]]) ).
cnf(refute_0_25435,plain,
( and(cin,X_208) != and(X_208,cin)
| and(X_208,cin) = and(cin,X_208) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(cin,X_208))),bind(Y0,$fot(and(X_208,cin)))]]) ).
cnf(refute_0_25436,plain,
and(X_208,cin) = and(cin,X_208),
inference(resolve,[$cnf( $equal(and(cin,X_208),and(X_208,cin)) )],[refute_0_25434,refute_0_25435]) ).
cnf(refute_0_25437,plain,
( and(X_208,cin) != and(cin,X_208)
| ll1 != or(t6,not(xor(t6,and(X_208,cin))))
| ll1 = or(t6,not(xor(t6,and(cin,X_208)))) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t6,not(xor(t6,and(X_208,cin))))) ),[1,1,0,1],$fot(and(cin,X_208))]]) ).
cnf(refute_0_25438,plain,
( ll1 != or(t6,not(xor(t6,and(X_208,cin))))
| ll1 = or(t6,not(xor(t6,and(cin,X_208)))) ),
inference(resolve,[$cnf( $equal(and(X_208,cin),and(cin,X_208)) )],[refute_0_25436,refute_0_25437]) ).
cnf(refute_0_25439,plain,
ll1 = or(t6,not(xor(t6,and(cin,X_208)))),
inference(resolve,[$cnf( $equal(ll1,or(t6,not(xor(t6,and(X_208,cin))))) )],[refute_0_25433,refute_0_25438]) ).
cnf(refute_0_25440,plain,
ll1 = or(t6,not(xor(t6,and(cin,not(xor(carry,or(carry,cin))))))),
inference(subst,[],[refute_0_25439:[bind(X_208,$fot(not(xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_25441,plain,
or(and(cin,not(xor(carry,or(carry,cin)))),and(not(cin),xor(carry,or(carry,cin)))) = xor(cin,xor(carry,or(carry,cin))),
inference(subst,[],[refute_0_9:[bind(X,$fot(cin)),bind(Y,$fot(xor(carry,or(carry,cin))))]]) ).
cnf(refute_0_25442,plain,
ll0 = xor(or(cin,not(xor(carry,or(carry,cin)))),or(not(xor(carry,or(carry,cin))),cin)),
inference(subst,[],[refute_0_131:[bind(X_146,$fot(not(xor(carry,or(carry,cin))))),bind(X_147,$fot(cin))]]) ).
cnf(refute_0_25443,plain,
or(cin,not(and(X_34,or(not(t7),not(X_34))))) = or(cin,or(not(t7),not(and(X_34,or(not(t7),not(X_34)))))),
inference(subst,[],[refute_0_9778:[bind(X_39,$fot(not(and(X_34,or(not(t7),not(X_34))))))]]) ).
cnf(refute_0_25444,plain,
or(not(t7),not(and(X_34,or(not(t7),not(X_34))))) = ll1,
inference(subst,[],[refute_0_7305:[bind(X_33,$fot(not(t7)))]]) ).
cnf(refute_0_25445,plain,
( or(cin,not(and(X_34,or(not(t7),not(X_34))))) != or(cin,or(not(t7),not(and(X_34,or(not(t7),not(X_34))))))
| or(not(t7),not(and(X_34,or(not(t7),not(X_34))))) != ll1
| or(cin,not(and(X_34,or(not(t7),not(X_34))))) = or(cin,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,not(and(X_34,or(not(t7),not(X_34))))),or(cin,or(not(t7),not(and(X_34,or(not(t7),not(X_34))))))) ),[1,1],$fot(ll1)]]) ).
cnf(refute_0_25446,plain,
( or(cin,not(and(X_34,or(not(t7),not(X_34))))) != or(cin,or(not(t7),not(and(X_34,or(not(t7),not(X_34))))))
| or(cin,not(and(X_34,or(not(t7),not(X_34))))) = or(cin,ll1) ),
inference(resolve,[$cnf( $equal(or(not(t7),not(and(X_34,or(not(t7),not(X_34))))),ll1) )],[refute_0_25444,refute_0_25445]) ).
cnf(refute_0_25447,plain,
or(cin,not(and(X_34,or(not(t7),not(X_34))))) = or(cin,ll1),
inference(resolve,[$cnf( $equal(or(cin,not(and(X_34,or(not(t7),not(X_34))))),or(cin,or(not(t7),not(and(X_34,or(not(t7),not(X_34))))))) )],[refute_0_25443,refute_0_25446]) ).
cnf(refute_0_25448,plain,
not(and(X_34,not(and(t7,X_34)))) = or(not(X_34),and(t7,X_34)),
inference(subst,[],[refute_0_435:[bind(X_29,$fot(X_34)),bind(X_30,$fot(and(t7,X_34)))]]) ).
cnf(refute_0_25449,plain,
or(not(t7),not(X_34)) = not(and(t7,X_34)),
inference(subst,[],[refute_0_147:[bind(X,$fot(t7)),bind(Y,$fot(X_34))]]) ).
cnf(refute_0_25450,plain,
and(X_34,or(not(t7),not(X_34))) = and(X_34,or(not(t7),not(X_34))),
introduced(tautology,[refl,[$fot(and(X_34,or(not(t7),not(X_34))))]]) ).
cnf(refute_0_25451,plain,
( and(X_34,or(not(t7),not(X_34))) != and(X_34,or(not(t7),not(X_34)))
| or(not(t7),not(X_34)) != not(and(t7,X_34))
| and(X_34,or(not(t7),not(X_34))) = and(X_34,not(and(t7,X_34))) ),
introduced(tautology,[equality,[$cnf( $equal(and(X_34,or(not(t7),not(X_34))),and(X_34,or(not(t7),not(X_34)))) ),[1,1],$fot(not(and(t7,X_34)))]]) ).
cnf(refute_0_25452,plain,
( or(not(t7),not(X_34)) != not(and(t7,X_34))
| and(X_34,or(not(t7),not(X_34))) = and(X_34,not(and(t7,X_34))) ),
inference(resolve,[$cnf( $equal(and(X_34,or(not(t7),not(X_34))),and(X_34,or(not(t7),not(X_34)))) )],[refute_0_25450,refute_0_25451]) ).
cnf(refute_0_25453,plain,
and(X_34,or(not(t7),not(X_34))) = and(X_34,not(and(t7,X_34))),
inference(resolve,[$cnf( $equal(or(not(t7),not(X_34)),not(and(t7,X_34))) )],[refute_0_25449,refute_0_25452]) ).
cnf(refute_0_25454,plain,
not(and(X_34,or(not(t7),not(X_34)))) = not(and(X_34,or(not(t7),not(X_34)))),
introduced(tautology,[refl,[$fot(not(and(X_34,or(not(t7),not(X_34)))))]]) ).
cnf(refute_0_25455,plain,
( and(X_34,or(not(t7),not(X_34))) != and(X_34,not(and(t7,X_34)))
| not(and(X_34,or(not(t7),not(X_34)))) != not(and(X_34,or(not(t7),not(X_34))))
| not(and(X_34,or(not(t7),not(X_34)))) = not(and(X_34,not(and(t7,X_34)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X_34,or(not(t7),not(X_34)))),not(and(X_34,or(not(t7),not(X_34))))) ),[1,0],$fot(and(X_34,not(and(t7,X_34))))]]) ).
cnf(refute_0_25456,plain,
( and(X_34,or(not(t7),not(X_34))) != and(X_34,not(and(t7,X_34)))
| not(and(X_34,or(not(t7),not(X_34)))) = not(and(X_34,not(and(t7,X_34)))) ),
inference(resolve,[$cnf( $equal(not(and(X_34,or(not(t7),not(X_34)))),not(and(X_34,or(not(t7),not(X_34))))) )],[refute_0_25454,refute_0_25455]) ).
cnf(refute_0_25457,plain,
not(and(X_34,or(not(t7),not(X_34)))) = not(and(X_34,not(and(t7,X_34)))),
inference(resolve,[$cnf( $equal(and(X_34,or(not(t7),not(X_34))),and(X_34,not(and(t7,X_34)))) )],[refute_0_25453,refute_0_25456]) ).
cnf(refute_0_25458,plain,
( not(and(X_34,not(and(t7,X_34)))) != or(not(X_34),and(t7,X_34))
| not(and(X_34,or(not(t7),not(X_34)))) != not(and(X_34,not(and(t7,X_34))))
| not(and(X_34,or(not(t7),not(X_34)))) = or(not(X_34),and(t7,X_34)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(X_34,or(not(t7),not(X_34)))))),bind(Y0,$fot(not(and(X_34,not(and(t7,X_34)))))),bind(Z0,$fot(or(not(X_34),and(t7,X_34))))]]) ).
cnf(refute_0_25459,plain,
( not(and(X_34,not(and(t7,X_34)))) != or(not(X_34),and(t7,X_34))
| not(and(X_34,or(not(t7),not(X_34)))) = or(not(X_34),and(t7,X_34)) ),
inference(resolve,[$cnf( $equal(not(and(X_34,or(not(t7),not(X_34)))),not(and(X_34,not(and(t7,X_34))))) )],[refute_0_25457,refute_0_25458]) ).
cnf(refute_0_25460,plain,
not(and(X_34,or(not(t7),not(X_34)))) = or(not(X_34),and(t7,X_34)),
inference(resolve,[$cnf( $equal(not(and(X_34,not(and(t7,X_34)))),or(not(X_34),and(t7,X_34))) )],[refute_0_25448,refute_0_25459]) ).
cnf(refute_0_25461,plain,
or(cin,not(and(X_34,or(not(t7),not(X_34))))) = or(cin,not(and(X_34,or(not(t7),not(X_34))))),
introduced(tautology,[refl,[$fot(or(cin,not(and(X_34,or(not(t7),not(X_34))))))]]) ).
cnf(refute_0_25462,plain,
( not(and(X_34,or(not(t7),not(X_34)))) != or(not(X_34),and(t7,X_34))
| or(cin,not(and(X_34,or(not(t7),not(X_34))))) != or(cin,not(and(X_34,or(not(t7),not(X_34)))))
| or(cin,not(and(X_34,or(not(t7),not(X_34))))) = or(cin,or(not(X_34),and(t7,X_34))) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,not(and(X_34,or(not(t7),not(X_34))))),or(cin,not(and(X_34,or(not(t7),not(X_34)))))) ),[1,1],$fot(or(not(X_34),and(t7,X_34)))]]) ).
cnf(refute_0_25463,plain,
( not(and(X_34,or(not(t7),not(X_34)))) != or(not(X_34),and(t7,X_34))
| or(cin,not(and(X_34,or(not(t7),not(X_34))))) = or(cin,or(not(X_34),and(t7,X_34))) ),
inference(resolve,[$cnf( $equal(or(cin,not(and(X_34,or(not(t7),not(X_34))))),or(cin,not(and(X_34,or(not(t7),not(X_34)))))) )],[refute_0_25461,refute_0_25462]) ).
cnf(refute_0_25464,plain,
or(cin,not(and(X_34,or(not(t7),not(X_34))))) = or(cin,or(not(X_34),and(t7,X_34))),
inference(resolve,[$cnf( $equal(not(and(X_34,or(not(t7),not(X_34)))),or(not(X_34),and(t7,X_34))) )],[refute_0_25460,refute_0_25463]) ).
cnf(refute_0_25465,plain,
( or(cin,not(and(X_34,or(not(t7),not(X_34))))) != or(cin,ll1)
| or(cin,not(and(X_34,or(not(t7),not(X_34))))) != or(cin,or(not(X_34),and(t7,X_34)))
| or(cin,or(not(X_34),and(t7,X_34))) = or(cin,ll1) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,not(and(X_34,or(not(t7),not(X_34))))),or(cin,ll1)) ),[0],$fot(or(cin,or(not(X_34),and(t7,X_34))))]]) ).
cnf(refute_0_25466,plain,
( or(cin,not(and(X_34,or(not(t7),not(X_34))))) != or(cin,ll1)
| or(cin,or(not(X_34),and(t7,X_34))) = or(cin,ll1) ),
inference(resolve,[$cnf( $equal(or(cin,not(and(X_34,or(not(t7),not(X_34))))),or(cin,or(not(X_34),and(t7,X_34)))) )],[refute_0_25464,refute_0_25465]) ).
cnf(refute_0_25467,plain,
( or(cin,ll1) != ll1
| or(cin,or(not(X_34),and(t7,X_34))) != or(cin,ll1)
| or(cin,or(not(X_34),and(t7,X_34))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,or(not(X_34),and(t7,X_34))),or(cin,ll1)) ),[1],$fot(ll1)]]) ).
cnf(refute_0_25468,plain,
( or(cin,or(not(X_34),and(t7,X_34))) != or(cin,ll1)
| or(cin,or(not(X_34),and(t7,X_34))) = ll1 ),
inference(resolve,[$cnf( $equal(or(cin,ll1),ll1) )],[refute_0_3271,refute_0_25467]) ).
cnf(refute_0_25469,plain,
( or(cin,not(and(X_34,or(not(t7),not(X_34))))) != or(cin,ll1)
| or(cin,or(not(X_34),and(t7,X_34))) = ll1 ),
inference(resolve,[$cnf( $equal(or(cin,or(not(X_34),and(t7,X_34))),or(cin,ll1)) )],[refute_0_25466,refute_0_25468]) ).
cnf(refute_0_25470,plain,
or(cin,or(not(X_34),and(t7,X_34))) = ll1,
inference(resolve,[$cnf( $equal(or(cin,not(and(X_34,or(not(t7),not(X_34))))),or(cin,ll1)) )],[refute_0_25447,refute_0_25469]) ).
cnf(refute_0_25471,plain,
or(cin,or(not(not(carry)),and(t7,not(carry)))) = ll1,
inference(subst,[],[refute_0_25470:[bind(X_34,$fot(not(carry)))]]) ).
cnf(refute_0_25472,plain,
( and(t7,not(carry)) != not(or(carry,cin))
| or(cin,or(not(not(carry)),and(t7,not(carry)))) != ll1
| or(cin,or(not(not(carry)),not(or(carry,cin)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,or(not(not(carry)),and(t7,not(carry)))),ll1) ),[0,1,1],$fot(not(or(carry,cin)))]]) ).
cnf(refute_0_25473,plain,
( or(cin,or(not(not(carry)),and(t7,not(carry)))) != ll1
| or(cin,or(not(not(carry)),not(or(carry,cin)))) = ll1 ),
inference(resolve,[$cnf( $equal(and(t7,not(carry)),not(or(carry,cin))) )],[refute_0_15833,refute_0_25472]) ).
cnf(refute_0_25474,plain,
or(cin,or(not(not(carry)),not(or(carry,cin)))) = ll1,
inference(resolve,[$cnf( $equal(or(cin,or(not(not(carry)),and(t7,not(carry)))),ll1) )],[refute_0_25471,refute_0_25473]) ).
cnf(refute_0_25475,plain,
not(and(not(carry),or(carry,cin))) = or(carry,not(or(carry,cin))),
inference(subst,[],[refute_0_787:[bind(X,$fot(carry)),bind(X_32,$fot(or(carry,cin)))]]) ).
cnf(refute_0_25476,plain,
( not(and(not(carry),or(carry,cin))) != or(carry,not(or(carry,cin)))
| or(carry,not(or(carry,cin))) != not(xor(carry,or(carry,cin)))
| not(and(not(carry),or(carry,cin))) = not(xor(carry,or(carry,cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(not(carry),or(carry,cin))))),bind(Y0,$fot(or(carry,not(or(carry,cin))))),bind(Z0,$fot(not(xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_25477,plain,
( or(carry,not(or(carry,cin))) != not(xor(carry,or(carry,cin)))
| not(and(not(carry),or(carry,cin))) = not(xor(carry,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(not(and(not(carry),or(carry,cin))),or(carry,not(or(carry,cin)))) )],[refute_0_25475,refute_0_25476]) ).
cnf(refute_0_25478,plain,
not(and(not(carry),or(carry,cin))) = not(xor(carry,or(carry,cin))),
inference(resolve,[$cnf( $equal(or(carry,not(or(carry,cin))),not(xor(carry,or(carry,cin)))) )],[refute_0_14603,refute_0_25477]) ).
cnf(refute_0_25479,plain,
or(not(not(carry)),not(or(carry,cin))) = not(and(not(carry),or(carry,cin))),
inference(subst,[],[refute_0_147:[bind(X,$fot(not(carry))),bind(Y,$fot(or(carry,cin)))]]) ).
cnf(refute_0_25480,plain,
( not(and(not(carry),or(carry,cin))) != not(xor(carry,or(carry,cin)))
| or(not(not(carry)),not(or(carry,cin))) != not(and(not(carry),or(carry,cin)))
| or(not(not(carry)),not(or(carry,cin))) = not(xor(carry,or(carry,cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(not(carry)),not(or(carry,cin))))),bind(Y0,$fot(not(and(not(carry),or(carry,cin))))),bind(Z0,$fot(not(xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_25481,plain,
( not(and(not(carry),or(carry,cin))) != not(xor(carry,or(carry,cin)))
| or(not(not(carry)),not(or(carry,cin))) = not(xor(carry,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(or(not(not(carry)),not(or(carry,cin))),not(and(not(carry),or(carry,cin)))) )],[refute_0_25479,refute_0_25480]) ).
cnf(refute_0_25482,plain,
or(not(not(carry)),not(or(carry,cin))) = not(xor(carry,or(carry,cin))),
inference(resolve,[$cnf( $equal(not(and(not(carry),or(carry,cin))),not(xor(carry,or(carry,cin)))) )],[refute_0_25478,refute_0_25481]) ).
cnf(refute_0_25483,plain,
or(cin,or(not(not(carry)),not(or(carry,cin)))) = or(cin,or(not(not(carry)),not(or(carry,cin)))),
introduced(tautology,[refl,[$fot(or(cin,or(not(not(carry)),not(or(carry,cin)))))]]) ).
cnf(refute_0_25484,plain,
( or(cin,or(not(not(carry)),not(or(carry,cin)))) != or(cin,or(not(not(carry)),not(or(carry,cin))))
| or(not(not(carry)),not(or(carry,cin))) != not(xor(carry,or(carry,cin)))
| or(cin,or(not(not(carry)),not(or(carry,cin)))) = or(cin,not(xor(carry,or(carry,cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,or(not(not(carry)),not(or(carry,cin)))),or(cin,or(not(not(carry)),not(or(carry,cin))))) ),[1,1],$fot(not(xor(carry,or(carry,cin))))]]) ).
cnf(refute_0_25485,plain,
( or(not(not(carry)),not(or(carry,cin))) != not(xor(carry,or(carry,cin)))
| or(cin,or(not(not(carry)),not(or(carry,cin)))) = or(cin,not(xor(carry,or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(or(cin,or(not(not(carry)),not(or(carry,cin)))),or(cin,or(not(not(carry)),not(or(carry,cin))))) )],[refute_0_25483,refute_0_25484]) ).
cnf(refute_0_25486,plain,
or(cin,or(not(not(carry)),not(or(carry,cin)))) = or(cin,not(xor(carry,or(carry,cin)))),
inference(resolve,[$cnf( $equal(or(not(not(carry)),not(or(carry,cin))),not(xor(carry,or(carry,cin)))) )],[refute_0_25482,refute_0_25485]) ).
cnf(refute_0_25487,plain,
( or(cin,or(not(not(carry)),not(or(carry,cin)))) != ll1
| or(cin,or(not(not(carry)),not(or(carry,cin)))) != or(cin,not(xor(carry,or(carry,cin))))
| or(cin,not(xor(carry,or(carry,cin)))) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(cin,or(not(not(carry)),not(or(carry,cin)))),ll1) ),[0],$fot(or(cin,not(xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_25488,plain,
( or(cin,or(not(not(carry)),not(or(carry,cin)))) != ll1
| or(cin,not(xor(carry,or(carry,cin)))) = ll1 ),
inference(resolve,[$cnf( $equal(or(cin,or(not(not(carry)),not(or(carry,cin)))),or(cin,not(xor(carry,or(carry,cin))))) )],[refute_0_25486,refute_0_25487]) ).
cnf(refute_0_25489,plain,
or(cin,not(xor(carry,or(carry,cin)))) = ll1,
inference(resolve,[$cnf( $equal(or(cin,or(not(not(carry)),not(or(carry,cin)))),ll1) )],[refute_0_25474,refute_0_25488]) ).
cnf(refute_0_25490,plain,
( ll0 != xor(or(cin,not(xor(carry,or(carry,cin)))),or(not(xor(carry,or(carry,cin))),cin))
| or(cin,not(xor(carry,or(carry,cin)))) != ll1
| ll0 = xor(ll1,or(not(xor(carry,or(carry,cin))),cin)) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,xor(or(cin,not(xor(carry,or(carry,cin)))),or(not(xor(carry,or(carry,cin))),cin))) ),[1,0],$fot(ll1)]]) ).
cnf(refute_0_25491,plain,
( ll0 != xor(or(cin,not(xor(carry,or(carry,cin)))),or(not(xor(carry,or(carry,cin))),cin))
| ll0 = xor(ll1,or(not(xor(carry,or(carry,cin))),cin)) ),
inference(resolve,[$cnf( $equal(or(cin,not(xor(carry,or(carry,cin)))),ll1) )],[refute_0_25489,refute_0_25490]) ).
cnf(refute_0_25492,plain,
ll0 = xor(ll1,or(not(xor(carry,or(carry,cin))),cin)),
inference(resolve,[$cnf( $equal(ll0,xor(or(cin,not(xor(carry,or(carry,cin)))),or(not(xor(carry,or(carry,cin))),cin))) )],[refute_0_25442,refute_0_25491]) ).
cnf(refute_0_25493,plain,
not(or(cin,not(xor(carry,or(carry,cin))))) = and(not(cin),xor(carry,or(carry,cin))),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(carry,or(carry,cin)))),bind(X_25,$fot(cin))]]) ).
cnf(refute_0_25494,plain,
not(or(X,xor(t5,t7))) = and(not(X),not(xor(t5,t7))),
inference(subst,[],[or_demorgan:[bind(Y,$fot(xor(t5,t7)))]]) ).
cnf(refute_0_25495,plain,
not(not(and(t5,t7))) = and(t5,t7),
inference(subst,[],[not_involution:[bind(X,$fot(and(t5,t7)))]]) ).
cnf(refute_0_25496,plain,
( not(and(t5,t7)) != xor(t5,t7)
| not(not(and(t5,t7))) != and(t5,t7)
| not(xor(t5,t7)) = and(t5,t7) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(t5,t7))),and(t5,t7)) ),[0,0],$fot(xor(t5,t7))]]) ).
cnf(refute_0_25497,plain,
( not(not(and(t5,t7))) != and(t5,t7)
| not(xor(t5,t7)) = and(t5,t7) ),
inference(resolve,[$cnf( $equal(not(and(t5,t7)),xor(t5,t7)) )],[refute_0_3977,refute_0_25496]) ).
cnf(refute_0_25498,plain,
not(xor(t5,t7)) = and(t5,t7),
inference(resolve,[$cnf( $equal(not(not(and(t5,t7))),and(t5,t7)) )],[refute_0_25495,refute_0_25497]) ).
cnf(refute_0_25499,plain,
( not(or(X,xor(t5,t7))) != and(not(X),not(xor(t5,t7)))
| not(xor(t5,t7)) != and(t5,t7)
| not(or(X,xor(t5,t7))) = and(not(X),and(t5,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t5,t7))),and(not(X),not(xor(t5,t7)))) ),[1,1],$fot(and(t5,t7))]]) ).
cnf(refute_0_25500,plain,
( not(or(X,xor(t5,t7))) != and(not(X),not(xor(t5,t7)))
| not(or(X,xor(t5,t7))) = and(not(X),and(t5,t7)) ),
inference(resolve,[$cnf( $equal(not(xor(t5,t7)),and(t5,t7)) )],[refute_0_25498,refute_0_25499]) ).
cnf(refute_0_25501,plain,
not(or(X,xor(t5,t7))) = and(not(X),and(t5,t7)),
inference(resolve,[$cnf( $equal(not(or(X,xor(t5,t7))),and(not(X),not(xor(t5,t7)))) )],[refute_0_25494,refute_0_25500]) ).
cnf(refute_0_25502,plain,
not(or(not(and(t5,t7)),X_26)) = and(and(t5,t7),not(X_26)),
inference(subst,[],[refute_0_159:[bind(X,$fot(and(t5,t7)))]]) ).
cnf(refute_0_25503,plain,
( not(and(t5,t7)) != xor(t5,t7)
| not(or(not(and(t5,t7)),X_26)) != and(and(t5,t7),not(X_26))
| not(or(xor(t5,t7),X_26)) = and(and(t5,t7),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(and(t5,t7)),X_26)),and(and(t5,t7),not(X_26))) ),[0,0,0],$fot(xor(t5,t7))]]) ).
cnf(refute_0_25504,plain,
( not(or(not(and(t5,t7)),X_26)) != and(and(t5,t7),not(X_26))
| not(or(xor(t5,t7),X_26)) = and(and(t5,t7),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(and(t5,t7)),xor(t5,t7)) )],[refute_0_3977,refute_0_25503]) ).
cnf(refute_0_25505,plain,
not(or(xor(t5,t7),X_26)) = and(and(t5,t7),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(not(and(t5,t7)),X_26)),and(and(t5,t7),not(X_26))) )],[refute_0_25502,refute_0_25504]) ).
cnf(refute_0_25506,plain,
and(and(t5,t7),not(X_26)) = and(t5,and(t7,not(X_26))),
inference(subst,[],[and_associative:[bind(X,$fot(t5)),bind(Y,$fot(t7)),bind(Z,$fot(not(X_26)))]]) ).
cnf(refute_0_25507,plain,
( and(and(t5,t7),not(X_26)) != and(t5,and(t7,not(X_26)))
| not(or(xor(t5,t7),X_26)) != and(and(t5,t7),not(X_26))
| not(or(xor(t5,t7),X_26)) = and(t5,and(t7,not(X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(t5,t7),X_26)),and(and(t5,t7),not(X_26))) ),[1],$fot(and(t5,and(t7,not(X_26))))]]) ).
cnf(refute_0_25508,plain,
( not(or(xor(t5,t7),X_26)) != and(and(t5,t7),not(X_26))
| not(or(xor(t5,t7),X_26)) = and(t5,and(t7,not(X_26))) ),
inference(resolve,[$cnf( $equal(and(and(t5,t7),not(X_26)),and(t5,and(t7,not(X_26)))) )],[refute_0_25506,refute_0_25507]) ).
cnf(refute_0_25509,plain,
not(or(xor(t5,t7),X_26)) = and(t5,and(t7,not(X_26))),
inference(resolve,[$cnf( $equal(not(or(xor(t5,t7),X_26)),and(and(t5,t7),not(X_26))) )],[refute_0_25505,refute_0_25508]) ).
cnf(refute_0_25510,plain,
( not(or(xor(t5,t7),X_26)) != and(t5,and(t7,not(X_26)))
| and(t5,and(t7,not(X_26))) = not(or(xor(t5,t7),X_26)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(xor(t5,t7),X_26)))),bind(Y0,$fot(and(t5,and(t7,not(X_26)))))]]) ).
cnf(refute_0_25511,plain,
and(t5,and(t7,not(X_26))) = not(or(xor(t5,t7),X_26)),
inference(resolve,[$cnf( $equal(not(or(xor(t5,t7),X_26)),and(t5,and(t7,not(X_26)))) )],[refute_0_25509,refute_0_25510]) ).
cnf(refute_0_25512,plain,
and(t5,and(t7,not(X))) = not(or(xor(t5,t7),X)),
inference(subst,[],[refute_0_25511:[bind(X_26,$fot(X))]]) ).
cnf(refute_0_25513,plain,
and(t5,and(not(X),t7)) = and(t5,and(t7,not(X))),
inference(subst,[],[refute_0_2637:[bind(X_220,$fot(t5)),bind(X_221,$fot(t7)),bind(X_222,$fot(not(X)))]]) ).
cnf(refute_0_25514,plain,
( and(t5,and(not(X),t7)) != and(t5,and(t7,not(X)))
| and(t5,and(t7,not(X))) != not(or(xor(t5,t7),X))
| and(t5,and(not(X),t7)) = not(or(xor(t5,t7),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t5,and(not(X),t7)))),bind(Y0,$fot(and(t5,and(t7,not(X))))),bind(Z0,$fot(not(or(xor(t5,t7),X))))]]) ).
cnf(refute_0_25515,plain,
( and(t5,and(t7,not(X))) != not(or(xor(t5,t7),X))
| and(t5,and(not(X),t7)) = not(or(xor(t5,t7),X)) ),
inference(resolve,[$cnf( $equal(and(t5,and(not(X),t7)),and(t5,and(t7,not(X)))) )],[refute_0_25513,refute_0_25514]) ).
cnf(refute_0_25516,plain,
and(t5,and(not(X),t7)) = not(or(xor(t5,t7),X)),
inference(resolve,[$cnf( $equal(and(t5,and(t7,not(X))),not(or(xor(t5,t7),X))) )],[refute_0_25512,refute_0_25515]) ).
cnf(refute_0_25517,plain,
and(not(X),and(t5,t7)) = and(t5,and(not(X),t7)),
inference(subst,[],[refute_0_2653:[bind(X_220,$fot(not(X))),bind(X_221,$fot(t5)),bind(X_222,$fot(t7))]]) ).
cnf(refute_0_25518,plain,
( and(not(X),and(t5,t7)) != and(t5,and(not(X),t7))
| and(t5,and(not(X),t7)) != not(or(xor(t5,t7),X))
| and(not(X),and(t5,t7)) = not(or(xor(t5,t7),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(X),and(t5,t7)))),bind(Y0,$fot(and(t5,and(not(X),t7)))),bind(Z0,$fot(not(or(xor(t5,t7),X))))]]) ).
cnf(refute_0_25519,plain,
( and(t5,and(not(X),t7)) != not(or(xor(t5,t7),X))
| and(not(X),and(t5,t7)) = not(or(xor(t5,t7),X)) ),
inference(resolve,[$cnf( $equal(and(not(X),and(t5,t7)),and(t5,and(not(X),t7))) )],[refute_0_25517,refute_0_25518]) ).
cnf(refute_0_25520,plain,
and(not(X),and(t5,t7)) = not(or(xor(t5,t7),X)),
inference(resolve,[$cnf( $equal(and(t5,and(not(X),t7)),not(or(xor(t5,t7),X))) )],[refute_0_25516,refute_0_25519]) ).
cnf(refute_0_25521,plain,
( and(not(X),and(t5,t7)) != not(or(xor(t5,t7),X))
| not(or(X,xor(t5,t7))) != and(not(X),and(t5,t7))
| not(or(X,xor(t5,t7))) = not(or(xor(t5,t7),X)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t5,t7))),and(not(X),and(t5,t7))) ),[1],$fot(not(or(xor(t5,t7),X)))]]) ).
cnf(refute_0_25522,plain,
( not(or(X,xor(t5,t7))) != and(not(X),and(t5,t7))
| not(or(X,xor(t5,t7))) = not(or(xor(t5,t7),X)) ),
inference(resolve,[$cnf( $equal(and(not(X),and(t5,t7)),not(or(xor(t5,t7),X))) )],[refute_0_25520,refute_0_25521]) ).
cnf(refute_0_25523,plain,
not(or(X,xor(t5,t7))) = not(or(xor(t5,t7),X)),
inference(resolve,[$cnf( $equal(not(or(X,xor(t5,t7))),and(not(X),and(t5,t7))) )],[refute_0_25501,refute_0_25522]) ).
cnf(refute_0_25524,plain,
or(X,xor(t5,t7)) = or(X,xor(t5,t7)),
introduced(tautology,[refl,[$fot(or(X,xor(t5,t7)))]]) ).
cnf(refute_0_25525,plain,
( or(X,xor(t5,t7)) != or(X,xor(t5,t7))
| xor(t5,t7) != cin
| or(X,xor(t5,t7)) = or(X,cin) ),
introduced(tautology,[equality,[$cnf( $equal(or(X,xor(t5,t7)),or(X,xor(t5,t7))) ),[1,1],$fot(cin)]]) ).
cnf(refute_0_25526,plain,
( xor(t5,t7) != cin
| or(X,xor(t5,t7)) = or(X,cin) ),
inference(resolve,[$cnf( $equal(or(X,xor(t5,t7)),or(X,xor(t5,t7))) )],[refute_0_25524,refute_0_25525]) ).
cnf(refute_0_25527,plain,
or(X,xor(t5,t7)) = or(X,cin),
inference(resolve,[$cnf( $equal(xor(t5,t7),cin) )],[refute_0_4699,refute_0_25526]) ).
cnf(refute_0_25528,plain,
not(or(X,xor(t5,t7))) = not(or(X,xor(t5,t7))),
introduced(tautology,[refl,[$fot(not(or(X,xor(t5,t7))))]]) ).
cnf(refute_0_25529,plain,
( not(or(X,xor(t5,t7))) != not(or(X,xor(t5,t7)))
| or(X,xor(t5,t7)) != or(X,cin)
| not(or(X,xor(t5,t7))) = not(or(X,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t5,t7))),not(or(X,xor(t5,t7)))) ),[1,0],$fot(or(X,cin))]]) ).
cnf(refute_0_25530,plain,
( or(X,xor(t5,t7)) != or(X,cin)
| not(or(X,xor(t5,t7))) = not(or(X,cin)) ),
inference(resolve,[$cnf( $equal(not(or(X,xor(t5,t7))),not(or(X,xor(t5,t7)))) )],[refute_0_25528,refute_0_25529]) ).
cnf(refute_0_25531,plain,
not(or(X,xor(t5,t7))) = not(or(X,cin)),
inference(resolve,[$cnf( $equal(or(X,xor(t5,t7)),or(X,cin)) )],[refute_0_25527,refute_0_25530]) ).
cnf(refute_0_25532,plain,
( not(or(X,xor(t5,t7))) != not(or(X,cin))
| not(or(X,xor(t5,t7))) != not(or(xor(t5,t7),X))
| not(or(X,cin)) = not(or(xor(t5,t7),X)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X,xor(t5,t7))),not(or(xor(t5,t7),X))) ),[0],$fot(not(or(X,cin)))]]) ).
cnf(refute_0_25533,plain,
( not(or(X,xor(t5,t7))) != not(or(xor(t5,t7),X))
| not(or(X,cin)) = not(or(xor(t5,t7),X)) ),
inference(resolve,[$cnf( $equal(not(or(X,xor(t5,t7))),not(or(X,cin))) )],[refute_0_25531,refute_0_25532]) ).
cnf(refute_0_25534,plain,
or(xor(t5,t7),X) = or(xor(t5,t7),X),
introduced(tautology,[refl,[$fot(or(xor(t5,t7),X))]]) ).
cnf(refute_0_25535,plain,
( or(xor(t5,t7),X) != or(xor(t5,t7),X)
| xor(t5,t7) != cin
| or(xor(t5,t7),X) = or(cin,X) ),
introduced(tautology,[equality,[$cnf( $equal(or(xor(t5,t7),X),or(xor(t5,t7),X)) ),[1,0],$fot(cin)]]) ).
cnf(refute_0_25536,plain,
( xor(t5,t7) != cin
| or(xor(t5,t7),X) = or(cin,X) ),
inference(resolve,[$cnf( $equal(or(xor(t5,t7),X),or(xor(t5,t7),X)) )],[refute_0_25534,refute_0_25535]) ).
cnf(refute_0_25537,plain,
or(xor(t5,t7),X) = or(cin,X),
inference(resolve,[$cnf( $equal(xor(t5,t7),cin) )],[refute_0_4699,refute_0_25536]) ).
cnf(refute_0_25538,plain,
not(or(xor(t5,t7),X)) = not(or(xor(t5,t7),X)),
introduced(tautology,[refl,[$fot(not(or(xor(t5,t7),X)))]]) ).
cnf(refute_0_25539,plain,
( not(or(xor(t5,t7),X)) != not(or(xor(t5,t7),X))
| or(xor(t5,t7),X) != or(cin,X)
| not(or(xor(t5,t7),X)) = not(or(cin,X)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(t5,t7),X)),not(or(xor(t5,t7),X))) ),[1,0],$fot(or(cin,X))]]) ).
cnf(refute_0_25540,plain,
( or(xor(t5,t7),X) != or(cin,X)
| not(or(xor(t5,t7),X)) = not(or(cin,X)) ),
inference(resolve,[$cnf( $equal(not(or(xor(t5,t7),X)),not(or(xor(t5,t7),X))) )],[refute_0_25538,refute_0_25539]) ).
cnf(refute_0_25541,plain,
not(or(xor(t5,t7),X)) = not(or(cin,X)),
inference(resolve,[$cnf( $equal(or(xor(t5,t7),X),or(cin,X)) )],[refute_0_25537,refute_0_25540]) ).
cnf(refute_0_25542,plain,
( not(or(X,cin)) != not(or(xor(t5,t7),X))
| not(or(xor(t5,t7),X)) != not(or(cin,X))
| not(or(X,cin)) = not(or(cin,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(or(X,cin)),not(or(cin,X))) ),[0],$fot(not(or(xor(t5,t7),X)))]]) ).
cnf(refute_0_25543,plain,
( not(or(X,cin)) != not(or(xor(t5,t7),X))
| not(or(X,cin)) = not(or(cin,X)) ),
inference(resolve,[$cnf( $equal(not(or(xor(t5,t7),X)),not(or(cin,X))) )],[refute_0_25541,refute_0_25542]) ).
cnf(refute_0_25544,plain,
( not(or(X,xor(t5,t7))) != not(or(xor(t5,t7),X))
| not(or(X,cin)) = not(or(cin,X)) ),
inference(resolve,[$cnf( $equal(not(or(X,cin)),not(or(xor(t5,t7),X))) )],[refute_0_25533,refute_0_25543]) ).
cnf(refute_0_25545,plain,
not(or(X,cin)) = not(or(cin,X)),
inference(resolve,[$cnf( $equal(not(or(X,xor(t5,t7))),not(or(xor(t5,t7),X))) )],[refute_0_25523,refute_0_25544]) ).
cnf(refute_0_25546,plain,
not(or(not(xor(carry,or(carry,cin))),cin)) = not(or(cin,not(xor(carry,or(carry,cin))))),
inference(subst,[],[refute_0_25545:[bind(X,$fot(not(xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_25547,plain,
( not(or(cin,not(xor(carry,or(carry,cin))))) != and(not(cin),xor(carry,or(carry,cin)))
| not(or(not(xor(carry,or(carry,cin))),cin)) != not(or(cin,not(xor(carry,or(carry,cin)))))
| not(or(not(xor(carry,or(carry,cin))),cin)) = and(not(cin),xor(carry,or(carry,cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(not(xor(carry,or(carry,cin))),cin)))),bind(Y0,$fot(not(or(cin,not(xor(carry,or(carry,cin))))))),bind(Z0,$fot(and(not(cin),xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_25548,plain,
( not(or(cin,not(xor(carry,or(carry,cin))))) != and(not(cin),xor(carry,or(carry,cin)))
| not(or(not(xor(carry,or(carry,cin))),cin)) = and(not(cin),xor(carry,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(not(or(not(xor(carry,or(carry,cin))),cin)),not(or(cin,not(xor(carry,or(carry,cin)))))) )],[refute_0_25546,refute_0_25547]) ).
cnf(refute_0_25549,plain,
not(or(not(xor(carry,or(carry,cin))),cin)) = and(not(cin),xor(carry,or(carry,cin))),
inference(resolve,[$cnf( $equal(not(or(cin,not(xor(carry,or(carry,cin))))),and(not(cin),xor(carry,or(carry,cin)))) )],[refute_0_25493,refute_0_25548]) ).
cnf(refute_0_25550,plain,
xor(ll1,or(not(xor(carry,or(carry,cin))),cin)) = not(or(not(xor(carry,or(carry,cin))),cin)),
inference(subst,[],[refute_0_3546:[bind(X_64,$fot(or(not(xor(carry,or(carry,cin))),cin)))]]) ).
cnf(refute_0_25551,plain,
( not(or(not(xor(carry,or(carry,cin))),cin)) != and(not(cin),xor(carry,or(carry,cin)))
| xor(ll1,or(not(xor(carry,or(carry,cin))),cin)) != not(or(not(xor(carry,or(carry,cin))),cin))
| xor(ll1,or(not(xor(carry,or(carry,cin))),cin)) = and(not(cin),xor(carry,or(carry,cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(ll1,or(not(xor(carry,or(carry,cin))),cin)))),bind(Y0,$fot(not(or(not(xor(carry,or(carry,cin))),cin)))),bind(Z0,$fot(and(not(cin),xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_25552,plain,
( not(or(not(xor(carry,or(carry,cin))),cin)) != and(not(cin),xor(carry,or(carry,cin)))
| xor(ll1,or(not(xor(carry,or(carry,cin))),cin)) = and(not(cin),xor(carry,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(xor(ll1,or(not(xor(carry,or(carry,cin))),cin)),not(or(not(xor(carry,or(carry,cin))),cin))) )],[refute_0_25550,refute_0_25551]) ).
cnf(refute_0_25553,plain,
xor(ll1,or(not(xor(carry,or(carry,cin))),cin)) = and(not(cin),xor(carry,or(carry,cin))),
inference(resolve,[$cnf( $equal(not(or(not(xor(carry,or(carry,cin))),cin)),and(not(cin),xor(carry,or(carry,cin)))) )],[refute_0_25549,refute_0_25552]) ).
cnf(refute_0_25554,plain,
( ll0 != xor(ll1,or(not(xor(carry,or(carry,cin))),cin))
| xor(ll1,or(not(xor(carry,or(carry,cin))),cin)) != and(not(cin),xor(carry,or(carry,cin)))
| ll0 = and(not(cin),xor(carry,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll0,and(not(cin),xor(carry,or(carry,cin)))) ),[0],$fot(xor(ll1,or(not(xor(carry,or(carry,cin))),cin)))]]) ).
cnf(refute_0_25555,plain,
( ll0 != xor(ll1,or(not(xor(carry,or(carry,cin))),cin))
| ll0 = and(not(cin),xor(carry,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(xor(ll1,or(not(xor(carry,or(carry,cin))),cin)),and(not(cin),xor(carry,or(carry,cin)))) )],[refute_0_25553,refute_0_25554]) ).
cnf(refute_0_25556,plain,
ll0 = and(not(cin),xor(carry,or(carry,cin))),
inference(resolve,[$cnf( $equal(ll0,xor(ll1,or(not(xor(carry,or(carry,cin))),cin))) )],[refute_0_25492,refute_0_25555]) ).
cnf(refute_0_25557,plain,
( ll0 != and(not(cin),xor(carry,or(carry,cin)))
| and(not(cin),xor(carry,or(carry,cin))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(not(cin),xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_25558,plain,
and(not(cin),xor(carry,or(carry,cin))) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(not(cin),xor(carry,or(carry,cin)))) )],[refute_0_25556,refute_0_25557]) ).
cnf(refute_0_25559,plain,
( and(not(cin),xor(carry,or(carry,cin))) != ll0
| or(and(cin,not(xor(carry,or(carry,cin)))),and(not(cin),xor(carry,or(carry,cin)))) != xor(cin,xor(carry,or(carry,cin)))
| or(and(cin,not(xor(carry,or(carry,cin)))),ll0) = xor(cin,xor(carry,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(cin,not(xor(carry,or(carry,cin)))),and(not(cin),xor(carry,or(carry,cin)))),xor(cin,xor(carry,or(carry,cin)))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_25560,plain,
( or(and(cin,not(xor(carry,or(carry,cin)))),and(not(cin),xor(carry,or(carry,cin)))) != xor(cin,xor(carry,or(carry,cin)))
| or(and(cin,not(xor(carry,or(carry,cin)))),ll0) = xor(cin,xor(carry,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(not(cin),xor(carry,or(carry,cin))),ll0) )],[refute_0_25558,refute_0_25559]) ).
cnf(refute_0_25561,plain,
or(and(cin,not(xor(carry,or(carry,cin)))),ll0) = xor(cin,xor(carry,or(carry,cin))),
inference(resolve,[$cnf( $equal(or(and(cin,not(xor(carry,or(carry,cin)))),and(not(cin),xor(carry,or(carry,cin)))),xor(cin,xor(carry,or(carry,cin)))) )],[refute_0_25441,refute_0_25560]) ).
cnf(refute_0_25562,plain,
or(and(cin,not(xor(carry,or(carry,cin)))),ll0) = and(cin,not(xor(carry,or(carry,cin)))),
inference(subst,[],[or_identity:[bind(X,$fot(and(cin,not(xor(carry,or(carry,cin))))))]]) ).
cnf(refute_0_25563,plain,
( or(and(cin,not(xor(carry,or(carry,cin)))),ll0) != and(cin,not(xor(carry,or(carry,cin))))
| or(and(cin,not(xor(carry,or(carry,cin)))),ll0) != xor(cin,xor(carry,or(carry,cin)))
| and(cin,not(xor(carry,or(carry,cin)))) = xor(cin,xor(carry,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(cin,not(xor(carry,or(carry,cin)))),ll0),xor(cin,xor(carry,or(carry,cin)))) ),[0],$fot(and(cin,not(xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_25564,plain,
( or(and(cin,not(xor(carry,or(carry,cin)))),ll0) != xor(cin,xor(carry,or(carry,cin)))
| and(cin,not(xor(carry,or(carry,cin)))) = xor(cin,xor(carry,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(or(and(cin,not(xor(carry,or(carry,cin)))),ll0),and(cin,not(xor(carry,or(carry,cin))))) )],[refute_0_25562,refute_0_25563]) ).
cnf(refute_0_25565,plain,
xor(cin,xor(carry,or(carry,cin))) = xor(carry,xor(cin,or(carry,cin))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(carry)),bind(X_334,$fot(cin)),bind(X_335,$fot(or(carry,cin)))]]) ).
cnf(refute_0_25566,plain,
( and(cin,not(xor(carry,or(carry,cin)))) != xor(cin,xor(carry,or(carry,cin)))
| xor(cin,xor(carry,or(carry,cin))) != xor(carry,xor(cin,or(carry,cin)))
| and(cin,not(xor(carry,or(carry,cin)))) = xor(carry,xor(cin,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(cin,not(xor(carry,or(carry,cin)))),xor(carry,xor(cin,or(carry,cin)))) ),[0],$fot(xor(cin,xor(carry,or(carry,cin))))]]) ).
cnf(refute_0_25567,plain,
( and(cin,not(xor(carry,or(carry,cin)))) != xor(cin,xor(carry,or(carry,cin)))
| and(cin,not(xor(carry,or(carry,cin)))) = xor(carry,xor(cin,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(xor(cin,xor(carry,or(carry,cin))),xor(carry,xor(cin,or(carry,cin)))) )],[refute_0_25565,refute_0_25566]) ).
cnf(refute_0_25568,plain,
( or(and(cin,not(xor(carry,or(carry,cin)))),ll0) != xor(cin,xor(carry,or(carry,cin)))
| and(cin,not(xor(carry,or(carry,cin)))) = xor(carry,xor(cin,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(cin,not(xor(carry,or(carry,cin)))),xor(cin,xor(carry,or(carry,cin)))) )],[refute_0_25564,refute_0_25567]) ).
cnf(refute_0_25569,plain,
and(cin,not(xor(carry,or(carry,cin)))) = xor(carry,xor(cin,or(carry,cin))),
inference(resolve,[$cnf( $equal(or(and(cin,not(xor(carry,or(carry,cin)))),ll0),xor(cin,xor(carry,or(carry,cin)))) )],[refute_0_25561,refute_0_25568]) ).
cnf(refute_0_25570,plain,
( and(cin,not(xor(carry,or(carry,cin)))) != xor(carry,xor(cin,or(carry,cin)))
| ll1 != or(t6,not(xor(t6,and(cin,not(xor(carry,or(carry,cin)))))))
| ll1 = or(t6,not(xor(t6,xor(carry,xor(cin,or(carry,cin)))))) ),
introduced(tautology,[equality,[$cnf( $equal(ll1,or(t6,not(xor(t6,and(cin,not(xor(carry,or(carry,cin)))))))) ),[1,1,0,1],$fot(xor(carry,xor(cin,or(carry,cin))))]]) ).
cnf(refute_0_25571,plain,
( ll1 != or(t6,not(xor(t6,and(cin,not(xor(carry,or(carry,cin)))))))
| ll1 = or(t6,not(xor(t6,xor(carry,xor(cin,or(carry,cin)))))) ),
inference(resolve,[$cnf( $equal(and(cin,not(xor(carry,or(carry,cin)))),xor(carry,xor(cin,or(carry,cin)))) )],[refute_0_25569,refute_0_25570]) ).
cnf(refute_0_25572,plain,
ll1 = or(t6,not(xor(t6,xor(carry,xor(cin,or(carry,cin)))))),
inference(resolve,[$cnf( $equal(ll1,or(t6,not(xor(t6,and(cin,not(xor(carry,or(carry,cin)))))))) )],[refute_0_25440,refute_0_25571]) ).
cnf(refute_0_25573,plain,
xor(a,xor(cin,xor(t3,or(carry,cin)))) = xor(sum,xor(t1,or(carry,cin))),
inference(subst,[],[refute_0_17036:[bind(Z,$fot(or(carry,cin)))]]) ).
cnf(refute_0_25574,plain,
xor(t3,xor(cin,or(carry,cin))) = xor(cin,xor(t3,or(carry,cin))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(cin)),bind(X_334,$fot(t3)),bind(X_335,$fot(or(carry,cin)))]]) ).
cnf(refute_0_25575,plain,
xor(a,xor(t3,xor(cin,or(carry,cin)))) = xor(a,xor(t3,xor(cin,or(carry,cin)))),
introduced(tautology,[refl,[$fot(xor(a,xor(t3,xor(cin,or(carry,cin)))))]]) ).
cnf(refute_0_25576,plain,
( xor(a,xor(t3,xor(cin,or(carry,cin)))) != xor(a,xor(t3,xor(cin,or(carry,cin))))
| xor(t3,xor(cin,or(carry,cin))) != xor(cin,xor(t3,or(carry,cin)))
| xor(a,xor(t3,xor(cin,or(carry,cin)))) = xor(a,xor(cin,xor(t3,or(carry,cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(a,xor(t3,xor(cin,or(carry,cin)))),xor(a,xor(t3,xor(cin,or(carry,cin))))) ),[1,1],$fot(xor(cin,xor(t3,or(carry,cin))))]]) ).
cnf(refute_0_25577,plain,
( xor(t3,xor(cin,or(carry,cin))) != xor(cin,xor(t3,or(carry,cin)))
| xor(a,xor(t3,xor(cin,or(carry,cin)))) = xor(a,xor(cin,xor(t3,or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,xor(cin,or(carry,cin)))),xor(a,xor(t3,xor(cin,or(carry,cin))))) )],[refute_0_25575,refute_0_25576]) ).
cnf(refute_0_25578,plain,
xor(a,xor(t3,xor(cin,or(carry,cin)))) = xor(a,xor(cin,xor(t3,or(carry,cin)))),
inference(resolve,[$cnf( $equal(xor(t3,xor(cin,or(carry,cin))),xor(cin,xor(t3,or(carry,cin)))) )],[refute_0_25574,refute_0_25577]) ).
cnf(refute_0_25579,plain,
( xor(a,xor(cin,xor(t3,or(carry,cin)))) != xor(sum,xor(t1,or(carry,cin)))
| xor(a,xor(t3,xor(cin,or(carry,cin)))) != xor(a,xor(cin,xor(t3,or(carry,cin))))
| xor(a,xor(t3,xor(cin,or(carry,cin)))) = xor(sum,xor(t1,or(carry,cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(a,xor(t3,xor(cin,or(carry,cin)))))),bind(Y0,$fot(xor(a,xor(cin,xor(t3,or(carry,cin)))))),bind(Z0,$fot(xor(sum,xor(t1,or(carry,cin)))))]]) ).
cnf(refute_0_25580,plain,
( xor(a,xor(cin,xor(t3,or(carry,cin)))) != xor(sum,xor(t1,or(carry,cin)))
| xor(a,xor(t3,xor(cin,or(carry,cin)))) = xor(sum,xor(t1,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,xor(cin,or(carry,cin)))),xor(a,xor(cin,xor(t3,or(carry,cin))))) )],[refute_0_25578,refute_0_25579]) ).
cnf(refute_0_25581,plain,
xor(a,xor(t3,xor(cin,or(carry,cin)))) = xor(sum,xor(t1,or(carry,cin))),
inference(resolve,[$cnf( $equal(xor(a,xor(cin,xor(t3,or(carry,cin)))),xor(sum,xor(t1,or(carry,cin)))) )],[refute_0_25573,refute_0_25580]) ).
cnf(refute_0_25582,plain,
xor(carry,xor(xor(cin,or(carry,cin)),t6)) = xor(a,xor(t3,xor(cin,or(carry,cin)))),
inference(subst,[],[refute_0_17011:[bind(X_366,$fot(xor(cin,or(carry,cin))))]]) ).
cnf(refute_0_25583,plain,
xor(t6,xor(carry,xor(cin,or(carry,cin)))) = xor(carry,xor(xor(cin,or(carry,cin)),t6)),
inference(subst,[],[refute_0_7460:[bind(X,$fot(carry)),bind(Y,$fot(xor(cin,or(carry,cin))))]]) ).
cnf(refute_0_25584,plain,
( xor(carry,xor(xor(cin,or(carry,cin)),t6)) != xor(a,xor(t3,xor(cin,or(carry,cin))))
| xor(t6,xor(carry,xor(cin,or(carry,cin)))) != xor(carry,xor(xor(cin,or(carry,cin)),t6))
| xor(t6,xor(carry,xor(cin,or(carry,cin)))) = xor(a,xor(t3,xor(cin,or(carry,cin)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,xor(carry,xor(cin,or(carry,cin)))))),bind(Y0,$fot(xor(carry,xor(xor(cin,or(carry,cin)),t6)))),bind(Z0,$fot(xor(a,xor(t3,xor(cin,or(carry,cin))))))]]) ).
cnf(refute_0_25585,plain,
( xor(carry,xor(xor(cin,or(carry,cin)),t6)) != xor(a,xor(t3,xor(cin,or(carry,cin))))
| xor(t6,xor(carry,xor(cin,or(carry,cin)))) = xor(a,xor(t3,xor(cin,or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(carry,xor(cin,or(carry,cin)))),xor(carry,xor(xor(cin,or(carry,cin)),t6))) )],[refute_0_25583,refute_0_25584]) ).
cnf(refute_0_25586,plain,
xor(t6,xor(carry,xor(cin,or(carry,cin)))) = xor(a,xor(t3,xor(cin,or(carry,cin)))),
inference(resolve,[$cnf( $equal(xor(carry,xor(xor(cin,or(carry,cin)),t6)),xor(a,xor(t3,xor(cin,or(carry,cin))))) )],[refute_0_25582,refute_0_25585]) ).
cnf(refute_0_25587,plain,
( xor(a,xor(t3,xor(cin,or(carry,cin)))) != xor(sum,xor(t1,or(carry,cin)))
| xor(t6,xor(carry,xor(cin,or(carry,cin)))) != xor(a,xor(t3,xor(cin,or(carry,cin))))
| xor(t6,xor(carry,xor(cin,or(carry,cin)))) = xor(sum,xor(t1,or(carry,cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,xor(carry,xor(cin,or(carry,cin)))))),bind(Y0,$fot(xor(a,xor(t3,xor(cin,or(carry,cin)))))),bind(Z0,$fot(xor(sum,xor(t1,or(carry,cin)))))]]) ).
cnf(refute_0_25588,plain,
( xor(a,xor(t3,xor(cin,or(carry,cin)))) != xor(sum,xor(t1,or(carry,cin)))
| xor(t6,xor(carry,xor(cin,or(carry,cin)))) = xor(sum,xor(t1,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(carry,xor(cin,or(carry,cin)))),xor(a,xor(t3,xor(cin,or(carry,cin))))) )],[refute_0_25586,refute_0_25587]) ).
cnf(refute_0_25589,plain,
xor(t6,xor(carry,xor(cin,or(carry,cin)))) = xor(sum,xor(t1,or(carry,cin))),
inference(resolve,[$cnf( $equal(xor(a,xor(t3,xor(cin,or(carry,cin)))),xor(sum,xor(t1,or(carry,cin)))) )],[refute_0_25581,refute_0_25588]) ).
cnf(refute_0_25590,plain,
not(xor(t6,xor(carry,xor(cin,or(carry,cin))))) = not(xor(t6,xor(carry,xor(cin,or(carry,cin))))),
introduced(tautology,[refl,[$fot(not(xor(t6,xor(carry,xor(cin,or(carry,cin))))))]]) ).
cnf(refute_0_25591,plain,
( not(xor(t6,xor(carry,xor(cin,or(carry,cin))))) != not(xor(t6,xor(carry,xor(cin,or(carry,cin)))))
| xor(t6,xor(carry,xor(cin,or(carry,cin)))) != xor(sum,xor(t1,or(carry,cin)))
| not(xor(t6,xor(carry,xor(cin,or(carry,cin))))) = not(xor(sum,xor(t1,or(carry,cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t6,xor(carry,xor(cin,or(carry,cin))))),not(xor(t6,xor(carry,xor(cin,or(carry,cin)))))) ),[1,0],$fot(xor(sum,xor(t1,or(carry,cin))))]]) ).
cnf(refute_0_25592,plain,
( xor(t6,xor(carry,xor(cin,or(carry,cin)))) != xor(sum,xor(t1,or(carry,cin)))
| not(xor(t6,xor(carry,xor(cin,or(carry,cin))))) = not(xor(sum,xor(t1,or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(not(xor(t6,xor(carry,xor(cin,or(carry,cin))))),not(xor(t6,xor(carry,xor(cin,or(carry,cin)))))) )],[refute_0_25590,refute_0_25591]) ).
cnf(refute_0_25593,plain,
not(xor(t6,xor(carry,xor(cin,or(carry,cin))))) = not(xor(sum,xor(t1,or(carry,cin)))),
inference(resolve,[$cnf( $equal(xor(t6,xor(carry,xor(cin,or(carry,cin)))),xor(sum,xor(t1,or(carry,cin)))) )],[refute_0_25589,refute_0_25592]) ).
cnf(refute_0_25594,plain,
or(t6,not(xor(t6,xor(carry,xor(cin,or(carry,cin)))))) = or(t6,not(xor(t6,xor(carry,xor(cin,or(carry,cin)))))),
introduced(tautology,[refl,[$fot(or(t6,not(xor(t6,xor(carry,xor(cin,or(carry,cin)))))))]]) ).
cnf(refute_0_25595,plain,
( not(xor(t6,xor(carry,xor(cin,or(carry,cin))))) != not(xor(sum,xor(t1,or(carry,cin))))
| or(t6,not(xor(t6,xor(carry,xor(cin,or(carry,cin)))))) != or(t6,not(xor(t6,xor(carry,xor(cin,or(carry,cin))))))
| or(t6,not(xor(t6,xor(carry,xor(cin,or(carry,cin)))))) = or(t6,not(xor(sum,xor(t1,or(carry,cin))))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t6,not(xor(t6,xor(carry,xor(cin,or(carry,cin)))))),or(t6,not(xor(t6,xor(carry,xor(cin,or(carry,cin))))))) ),[1,1],$fot(not(xor(sum,xor(t1,or(carry,cin)))))]]) ).
cnf(refute_0_25596,plain,
( not(xor(t6,xor(carry,xor(cin,or(carry,cin))))) != not(xor(sum,xor(t1,or(carry,cin))))
| or(t6,not(xor(t6,xor(carry,xor(cin,or(carry,cin)))))) = or(t6,not(xor(sum,xor(t1,or(carry,cin))))) ),
inference(resolve,[$cnf( $equal(or(t6,not(xor(t6,xor(carry,xor(cin,or(carry,cin)))))),or(t6,not(xor(t6,xor(carry,xor(cin,or(carry,cin))))))) )],[refute_0_25594,refute_0_25595]) ).
cnf(refute_0_25597,plain,
or(t6,not(xor(t6,xor(carry,xor(cin,or(carry,cin)))))) = or(t6,not(xor(sum,xor(t1,or(carry,cin))))),
inference(resolve,[$cnf( $equal(not(xor(t6,xor(carry,xor(cin,or(carry,cin))))),not(xor(sum,xor(t1,or(carry,cin))))) )],[refute_0_25593,refute_0_25596]) ).
cnf(refute_0_25598,plain,
( ll1 != or(t6,not(xor(t6,xor(carry,xor(cin,or(carry,cin))))))
| or(t6,not(xor(t6,xor(carry,xor(cin,or(carry,cin)))))) != or(t6,not(xor(sum,xor(t1,or(carry,cin)))))
| ll1 = or(t6,not(xor(sum,xor(t1,or(carry,cin))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll1,or(t6,not(xor(sum,xor(t1,or(carry,cin)))))) ),[0],$fot(or(t6,not(xor(t6,xor(carry,xor(cin,or(carry,cin)))))))]]) ).
cnf(refute_0_25599,plain,
( ll1 != or(t6,not(xor(t6,xor(carry,xor(cin,or(carry,cin))))))
| ll1 = or(t6,not(xor(sum,xor(t1,or(carry,cin))))) ),
inference(resolve,[$cnf( $equal(or(t6,not(xor(t6,xor(carry,xor(cin,or(carry,cin)))))),or(t6,not(xor(sum,xor(t1,or(carry,cin)))))) )],[refute_0_25597,refute_0_25598]) ).
cnf(refute_0_25600,plain,
ll1 = or(t6,not(xor(sum,xor(t1,or(carry,cin))))),
inference(resolve,[$cnf( $equal(ll1,or(t6,not(xor(t6,xor(carry,xor(cin,or(carry,cin))))))) )],[refute_0_25572,refute_0_25599]) ).
cnf(refute_0_25601,plain,
( ll1 != or(t6,not(xor(sum,xor(t1,or(carry,cin)))))
| or(t6,not(xor(sum,xor(t1,or(carry,cin))))) = ll1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll1)),bind(Y0,$fot(or(t6,not(xor(sum,xor(t1,or(carry,cin)))))))]]) ).
cnf(refute_0_25602,plain,
or(t6,not(xor(sum,xor(t1,or(carry,cin))))) = ll1,
inference(resolve,[$cnf( $equal(ll1,or(t6,not(xor(sum,xor(t1,or(carry,cin)))))) )],[refute_0_25600,refute_0_25601]) ).
cnf(refute_0_25603,plain,
( ll0 != xor(or(t6,not(xor(sum,xor(t1,or(carry,cin))))),or(not(xor(sum,xor(t1,or(carry,cin)))),t6))
| or(t6,not(xor(sum,xor(t1,or(carry,cin))))) != ll1
| ll0 = xor(ll1,or(not(xor(sum,xor(t1,or(carry,cin)))),t6)) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,xor(or(t6,not(xor(sum,xor(t1,or(carry,cin))))),or(not(xor(sum,xor(t1,or(carry,cin)))),t6))) ),[1,0],$fot(ll1)]]) ).
cnf(refute_0_25604,plain,
( ll0 != xor(or(t6,not(xor(sum,xor(t1,or(carry,cin))))),or(not(xor(sum,xor(t1,or(carry,cin)))),t6))
| ll0 = xor(ll1,or(not(xor(sum,xor(t1,or(carry,cin)))),t6)) ),
inference(resolve,[$cnf( $equal(or(t6,not(xor(sum,xor(t1,or(carry,cin))))),ll1) )],[refute_0_25602,refute_0_25603]) ).
cnf(refute_0_25605,plain,
ll0 = xor(ll1,or(not(xor(sum,xor(t1,or(carry,cin)))),t6)),
inference(resolve,[$cnf( $equal(ll0,xor(or(t6,not(xor(sum,xor(t1,or(carry,cin))))),or(not(xor(sum,xor(t1,or(carry,cin)))),t6))) )],[refute_0_25432,refute_0_25604]) ).
cnf(refute_0_25606,plain,
not(or(t6,not(xor(sum,xor(t1,or(carry,cin)))))) = and(not(t6),xor(sum,xor(t1,or(carry,cin)))),
inference(subst,[],[refute_0_801:[bind(X,$fot(xor(sum,xor(t1,or(carry,cin))))),bind(X_25,$fot(t6))]]) ).
cnf(refute_0_25607,plain,
not(or(not(xor(sum,xor(t1,or(carry,cin)))),t6)) = not(or(t6,not(xor(sum,xor(t1,or(carry,cin)))))),
inference(subst,[],[refute_0_7405:[bind(X,$fot(not(xor(sum,xor(t1,or(carry,cin))))))]]) ).
cnf(refute_0_25608,plain,
( not(or(not(xor(sum,xor(t1,or(carry,cin)))),t6)) != not(or(t6,not(xor(sum,xor(t1,or(carry,cin))))))
| not(or(t6,not(xor(sum,xor(t1,or(carry,cin)))))) != and(not(t6),xor(sum,xor(t1,or(carry,cin))))
| not(or(not(xor(sum,xor(t1,or(carry,cin)))),t6)) = and(not(t6),xor(sum,xor(t1,or(carry,cin)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(not(xor(sum,xor(t1,or(carry,cin)))),t6)))),bind(Y0,$fot(not(or(t6,not(xor(sum,xor(t1,or(carry,cin)))))))),bind(Z0,$fot(and(not(t6),xor(sum,xor(t1,or(carry,cin))))))]]) ).
cnf(refute_0_25609,plain,
( not(or(t6,not(xor(sum,xor(t1,or(carry,cin)))))) != and(not(t6),xor(sum,xor(t1,or(carry,cin))))
| not(or(not(xor(sum,xor(t1,or(carry,cin)))),t6)) = and(not(t6),xor(sum,xor(t1,or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(not(or(not(xor(sum,xor(t1,or(carry,cin)))),t6)),not(or(t6,not(xor(sum,xor(t1,or(carry,cin))))))) )],[refute_0_25607,refute_0_25608]) ).
cnf(refute_0_25610,plain,
not(or(not(xor(sum,xor(t1,or(carry,cin)))),t6)) = and(not(t6),xor(sum,xor(t1,or(carry,cin)))),
inference(resolve,[$cnf( $equal(not(or(t6,not(xor(sum,xor(t1,or(carry,cin)))))),and(not(t6),xor(sum,xor(t1,or(carry,cin))))) )],[refute_0_25606,refute_0_25609]) ).
cnf(refute_0_25611,plain,
xor(ll1,or(not(xor(sum,xor(t1,or(carry,cin)))),t6)) = not(or(not(xor(sum,xor(t1,or(carry,cin)))),t6)),
inference(subst,[],[refute_0_3546:[bind(X_64,$fot(or(not(xor(sum,xor(t1,or(carry,cin)))),t6)))]]) ).
cnf(refute_0_25612,plain,
( not(or(not(xor(sum,xor(t1,or(carry,cin)))),t6)) != and(not(t6),xor(sum,xor(t1,or(carry,cin))))
| xor(ll1,or(not(xor(sum,xor(t1,or(carry,cin)))),t6)) != not(or(not(xor(sum,xor(t1,or(carry,cin)))),t6))
| xor(ll1,or(not(xor(sum,xor(t1,or(carry,cin)))),t6)) = and(not(t6),xor(sum,xor(t1,or(carry,cin)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(ll1,or(not(xor(sum,xor(t1,or(carry,cin)))),t6)))),bind(Y0,$fot(not(or(not(xor(sum,xor(t1,or(carry,cin)))),t6)))),bind(Z0,$fot(and(not(t6),xor(sum,xor(t1,or(carry,cin))))))]]) ).
cnf(refute_0_25613,plain,
( not(or(not(xor(sum,xor(t1,or(carry,cin)))),t6)) != and(not(t6),xor(sum,xor(t1,or(carry,cin))))
| xor(ll1,or(not(xor(sum,xor(t1,or(carry,cin)))),t6)) = and(not(t6),xor(sum,xor(t1,or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(xor(ll1,or(not(xor(sum,xor(t1,or(carry,cin)))),t6)),not(or(not(xor(sum,xor(t1,or(carry,cin)))),t6))) )],[refute_0_25611,refute_0_25612]) ).
cnf(refute_0_25614,plain,
xor(ll1,or(not(xor(sum,xor(t1,or(carry,cin)))),t6)) = and(not(t6),xor(sum,xor(t1,or(carry,cin)))),
inference(resolve,[$cnf( $equal(not(or(not(xor(sum,xor(t1,or(carry,cin)))),t6)),and(not(t6),xor(sum,xor(t1,or(carry,cin))))) )],[refute_0_25610,refute_0_25613]) ).
cnf(refute_0_25615,plain,
( ll0 != xor(ll1,or(not(xor(sum,xor(t1,or(carry,cin)))),t6))
| xor(ll1,or(not(xor(sum,xor(t1,or(carry,cin)))),t6)) != and(not(t6),xor(sum,xor(t1,or(carry,cin))))
| ll0 = and(not(t6),xor(sum,xor(t1,or(carry,cin)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll0,and(not(t6),xor(sum,xor(t1,or(carry,cin))))) ),[0],$fot(xor(ll1,or(not(xor(sum,xor(t1,or(carry,cin)))),t6)))]]) ).
cnf(refute_0_25616,plain,
( ll0 != xor(ll1,or(not(xor(sum,xor(t1,or(carry,cin)))),t6))
| ll0 = and(not(t6),xor(sum,xor(t1,or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(xor(ll1,or(not(xor(sum,xor(t1,or(carry,cin)))),t6)),and(not(t6),xor(sum,xor(t1,or(carry,cin))))) )],[refute_0_25614,refute_0_25615]) ).
cnf(refute_0_25617,plain,
ll0 = and(not(t6),xor(sum,xor(t1,or(carry,cin)))),
inference(resolve,[$cnf( $equal(ll0,xor(ll1,or(not(xor(sum,xor(t1,or(carry,cin)))),t6))) )],[refute_0_25605,refute_0_25616]) ).
cnf(refute_0_25618,plain,
( ll0 != and(not(t6),xor(sum,xor(t1,or(carry,cin))))
| and(not(t6),xor(sum,xor(t1,or(carry,cin)))) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(not(t6),xor(sum,xor(t1,or(carry,cin))))))]]) ).
cnf(refute_0_25619,plain,
and(not(t6),xor(sum,xor(t1,or(carry,cin)))) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(not(t6),xor(sum,xor(t1,or(carry,cin))))) )],[refute_0_25617,refute_0_25618]) ).
cnf(refute_0_25620,plain,
( and(not(t6),xor(sum,xor(t1,or(carry,cin)))) != ll0
| or(and(t6,not(xor(sum,xor(t1,or(carry,cin))))),and(not(t6),xor(sum,xor(t1,or(carry,cin))))) != xor(t6,xor(sum,xor(t1,or(carry,cin))))
| or(and(t6,not(xor(sum,xor(t1,or(carry,cin))))),ll0) = xor(t6,xor(sum,xor(t1,or(carry,cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,not(xor(sum,xor(t1,or(carry,cin))))),and(not(t6),xor(sum,xor(t1,or(carry,cin))))),xor(t6,xor(sum,xor(t1,or(carry,cin))))) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_25621,plain,
( or(and(t6,not(xor(sum,xor(t1,or(carry,cin))))),and(not(t6),xor(sum,xor(t1,or(carry,cin))))) != xor(t6,xor(sum,xor(t1,or(carry,cin))))
| or(and(t6,not(xor(sum,xor(t1,or(carry,cin))))),ll0) = xor(t6,xor(sum,xor(t1,or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(and(not(t6),xor(sum,xor(t1,or(carry,cin)))),ll0) )],[refute_0_25619,refute_0_25620]) ).
cnf(refute_0_25622,plain,
or(and(t6,not(xor(sum,xor(t1,or(carry,cin))))),ll0) = xor(t6,xor(sum,xor(t1,or(carry,cin)))),
inference(resolve,[$cnf( $equal(or(and(t6,not(xor(sum,xor(t1,or(carry,cin))))),and(not(t6),xor(sum,xor(t1,or(carry,cin))))),xor(t6,xor(sum,xor(t1,or(carry,cin))))) )],[refute_0_25431,refute_0_25621]) ).
cnf(refute_0_25623,plain,
or(and(t6,not(xor(sum,xor(t1,or(carry,cin))))),ll0) = and(t6,not(xor(sum,xor(t1,or(carry,cin))))),
inference(subst,[],[or_identity:[bind(X,$fot(and(t6,not(xor(sum,xor(t1,or(carry,cin)))))))]]) ).
cnf(refute_0_25624,plain,
( or(and(t6,not(xor(sum,xor(t1,or(carry,cin))))),ll0) != and(t6,not(xor(sum,xor(t1,or(carry,cin)))))
| or(and(t6,not(xor(sum,xor(t1,or(carry,cin))))),ll0) != xor(t6,xor(sum,xor(t1,or(carry,cin))))
| and(t6,not(xor(sum,xor(t1,or(carry,cin))))) = xor(t6,xor(sum,xor(t1,or(carry,cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(t6,not(xor(sum,xor(t1,or(carry,cin))))),ll0),xor(t6,xor(sum,xor(t1,or(carry,cin))))) ),[0],$fot(and(t6,not(xor(sum,xor(t1,or(carry,cin))))))]]) ).
cnf(refute_0_25625,plain,
( or(and(t6,not(xor(sum,xor(t1,or(carry,cin))))),ll0) != xor(t6,xor(sum,xor(t1,or(carry,cin))))
| and(t6,not(xor(sum,xor(t1,or(carry,cin))))) = xor(t6,xor(sum,xor(t1,or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(or(and(t6,not(xor(sum,xor(t1,or(carry,cin))))),ll0),and(t6,not(xor(sum,xor(t1,or(carry,cin)))))) )],[refute_0_25623,refute_0_25624]) ).
cnf(refute_0_25626,plain,
xor(t1,xor(t7,Z)) = xor(xor(t1,t7),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(t1)),bind(Y,$fot(t7))]]) ).
cnf(refute_0_25627,plain,
( xor(t1,t7) != xor(carry,cin)
| xor(t1,xor(t7,Z)) != xor(xor(t1,t7),Z)
| xor(t1,xor(t7,Z)) = xor(xor(carry,cin),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t1,xor(t7,Z)),xor(xor(t1,t7),Z)) ),[1,0],$fot(xor(carry,cin))]]) ).
cnf(refute_0_25628,plain,
( xor(t1,xor(t7,Z)) != xor(xor(t1,t7),Z)
| xor(t1,xor(t7,Z)) = xor(xor(carry,cin),Z) ),
inference(resolve,[$cnf( $equal(xor(t1,t7),xor(carry,cin)) )],[refute_0_23114,refute_0_25627]) ).
cnf(refute_0_25629,plain,
xor(t1,xor(t7,Z)) = xor(xor(carry,cin),Z),
inference(resolve,[$cnf( $equal(xor(t1,xor(t7,Z)),xor(xor(t1,t7),Z)) )],[refute_0_25626,refute_0_25628]) ).
cnf(refute_0_25630,plain,
( xor(t1,xor(t7,Z)) != xor(xor(carry,cin),Z)
| xor(xor(carry,cin),Z) != xor(carry,xor(cin,Z))
| xor(t1,xor(t7,Z)) = xor(carry,xor(cin,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(t1,xor(t7,Z)),xor(carry,xor(cin,Z))) ),[0],$fot(xor(xor(carry,cin),Z))]]) ).
cnf(refute_0_25631,plain,
( xor(t1,xor(t7,Z)) != xor(xor(carry,cin),Z)
| xor(t1,xor(t7,Z)) = xor(carry,xor(cin,Z)) ),
inference(resolve,[$cnf( $equal(xor(xor(carry,cin),Z),xor(carry,xor(cin,Z))) )],[refute_0_23121,refute_0_25630]) ).
cnf(refute_0_25632,plain,
xor(t1,xor(t7,Z)) = xor(carry,xor(cin,Z)),
inference(resolve,[$cnf( $equal(xor(t1,xor(t7,Z)),xor(xor(carry,cin),Z)) )],[refute_0_25629,refute_0_25631]) ).
cnf(refute_0_25633,plain,
xor(t1,xor(t7,or(carry,cin))) = xor(carry,xor(cin,or(carry,cin))),
inference(subst,[],[refute_0_25632:[bind(Z,$fot(or(carry,cin)))]]) ).
cnf(refute_0_25634,plain,
xor(t7,xor(t1,or(carry,cin))) = xor(t1,xor(t7,or(carry,cin))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(t1)),bind(X_334,$fot(t7)),bind(X_335,$fot(or(carry,cin)))]]) ).
cnf(refute_0_25635,plain,
( xor(t1,xor(t7,or(carry,cin))) != xor(carry,xor(cin,or(carry,cin)))
| xor(t7,xor(t1,or(carry,cin))) != xor(t1,xor(t7,or(carry,cin)))
| xor(t7,xor(t1,or(carry,cin))) = xor(carry,xor(cin,or(carry,cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t7,xor(t1,or(carry,cin))))),bind(Y0,$fot(xor(t1,xor(t7,or(carry,cin))))),bind(Z0,$fot(xor(carry,xor(cin,or(carry,cin)))))]]) ).
cnf(refute_0_25636,plain,
( xor(t1,xor(t7,or(carry,cin))) != xor(carry,xor(cin,or(carry,cin)))
| xor(t7,xor(t1,or(carry,cin))) = xor(carry,xor(cin,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(xor(t7,xor(t1,or(carry,cin))),xor(t1,xor(t7,or(carry,cin)))) )],[refute_0_25634,refute_0_25635]) ).
cnf(refute_0_25637,plain,
xor(t7,xor(t1,or(carry,cin))) = xor(carry,xor(cin,or(carry,cin))),
inference(resolve,[$cnf( $equal(xor(t1,xor(t7,or(carry,cin))),xor(carry,xor(cin,or(carry,cin)))) )],[refute_0_25633,refute_0_25636]) ).
cnf(refute_0_25638,plain,
xor(sum,xor(xor(t1,or(carry,cin)),t6)) = xor(t7,xor(t1,or(carry,cin))),
inference(subst,[],[refute_0_6267:[bind(X_385,$fot(xor(t1,or(carry,cin))))]]) ).
cnf(refute_0_25639,plain,
( xor(sum,xor(xor(t1,or(carry,cin)),t6)) != xor(t7,xor(t1,or(carry,cin)))
| xor(t7,xor(t1,or(carry,cin))) != xor(carry,xor(cin,or(carry,cin)))
| xor(sum,xor(xor(t1,or(carry,cin)),t6)) = xor(carry,xor(cin,or(carry,cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(sum,xor(xor(t1,or(carry,cin)),t6)))),bind(Y0,$fot(xor(t7,xor(t1,or(carry,cin))))),bind(Z0,$fot(xor(carry,xor(cin,or(carry,cin)))))]]) ).
cnf(refute_0_25640,plain,
( xor(t7,xor(t1,or(carry,cin))) != xor(carry,xor(cin,or(carry,cin)))
| xor(sum,xor(xor(t1,or(carry,cin)),t6)) = xor(carry,xor(cin,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(xor(t1,or(carry,cin)),t6)),xor(t7,xor(t1,or(carry,cin)))) )],[refute_0_25638,refute_0_25639]) ).
cnf(refute_0_25641,plain,
xor(sum,xor(xor(t1,or(carry,cin)),t6)) = xor(carry,xor(cin,or(carry,cin))),
inference(resolve,[$cnf( $equal(xor(t7,xor(t1,or(carry,cin))),xor(carry,xor(cin,or(carry,cin)))) )],[refute_0_25637,refute_0_25640]) ).
cnf(refute_0_25642,plain,
xor(t6,xor(sum,xor(t1,or(carry,cin)))) = xor(sum,xor(xor(t1,or(carry,cin)),t6)),
inference(subst,[],[refute_0_7460:[bind(X,$fot(sum)),bind(Y,$fot(xor(t1,or(carry,cin))))]]) ).
cnf(refute_0_25643,plain,
( xor(sum,xor(xor(t1,or(carry,cin)),t6)) != xor(carry,xor(cin,or(carry,cin)))
| xor(t6,xor(sum,xor(t1,or(carry,cin)))) != xor(sum,xor(xor(t1,or(carry,cin)),t6))
| xor(t6,xor(sum,xor(t1,or(carry,cin)))) = xor(carry,xor(cin,or(carry,cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,xor(sum,xor(t1,or(carry,cin)))))),bind(Y0,$fot(xor(sum,xor(xor(t1,or(carry,cin)),t6)))),bind(Z0,$fot(xor(carry,xor(cin,or(carry,cin)))))]]) ).
cnf(refute_0_25644,plain,
( xor(sum,xor(xor(t1,or(carry,cin)),t6)) != xor(carry,xor(cin,or(carry,cin)))
| xor(t6,xor(sum,xor(t1,or(carry,cin)))) = xor(carry,xor(cin,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(sum,xor(t1,or(carry,cin)))),xor(sum,xor(xor(t1,or(carry,cin)),t6))) )],[refute_0_25642,refute_0_25643]) ).
cnf(refute_0_25645,plain,
xor(t6,xor(sum,xor(t1,or(carry,cin)))) = xor(carry,xor(cin,or(carry,cin))),
inference(resolve,[$cnf( $equal(xor(sum,xor(xor(t1,or(carry,cin)),t6)),xor(carry,xor(cin,or(carry,cin)))) )],[refute_0_25641,refute_0_25644]) ).
cnf(refute_0_25646,plain,
( and(t6,not(xor(sum,xor(t1,or(carry,cin))))) != xor(t6,xor(sum,xor(t1,or(carry,cin))))
| xor(t6,xor(sum,xor(t1,or(carry,cin)))) != xor(carry,xor(cin,or(carry,cin)))
| and(t6,not(xor(sum,xor(t1,or(carry,cin))))) = xor(carry,xor(cin,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,not(xor(sum,xor(t1,or(carry,cin))))),xor(carry,xor(cin,or(carry,cin)))) ),[0],$fot(xor(t6,xor(sum,xor(t1,or(carry,cin)))))]]) ).
cnf(refute_0_25647,plain,
( and(t6,not(xor(sum,xor(t1,or(carry,cin))))) != xor(t6,xor(sum,xor(t1,or(carry,cin))))
| and(t6,not(xor(sum,xor(t1,or(carry,cin))))) = xor(carry,xor(cin,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(sum,xor(t1,or(carry,cin)))),xor(carry,xor(cin,or(carry,cin)))) )],[refute_0_25645,refute_0_25646]) ).
cnf(refute_0_25648,plain,
( or(and(t6,not(xor(sum,xor(t1,or(carry,cin))))),ll0) != xor(t6,xor(sum,xor(t1,or(carry,cin))))
| and(t6,not(xor(sum,xor(t1,or(carry,cin))))) = xor(carry,xor(cin,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(sum,xor(t1,or(carry,cin))))),xor(t6,xor(sum,xor(t1,or(carry,cin))))) )],[refute_0_25625,refute_0_25647]) ).
cnf(refute_0_25649,plain,
and(t6,not(xor(sum,xor(t1,or(carry,cin))))) = xor(carry,xor(cin,or(carry,cin))),
inference(resolve,[$cnf( $equal(or(and(t6,not(xor(sum,xor(t1,or(carry,cin))))),ll0),xor(t6,xor(sum,xor(t1,or(carry,cin))))) )],[refute_0_25622,refute_0_25648]) ).
cnf(refute_0_25650,plain,
( and(not(t4),not(xor(sum,xor(t1,or(carry,cin))))) != and(t5,and(t6,not(xor(sum,xor(t1,or(carry,cin))))))
| and(t6,not(xor(sum,xor(t1,or(carry,cin))))) != xor(carry,xor(cin,or(carry,cin)))
| and(not(t4),not(xor(sum,xor(t1,or(carry,cin))))) = and(t5,xor(carry,xor(cin,or(carry,cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),not(xor(sum,xor(t1,or(carry,cin))))),and(t5,and(t6,not(xor(sum,xor(t1,or(carry,cin))))))) ),[1,1],$fot(xor(carry,xor(cin,or(carry,cin))))]]) ).
cnf(refute_0_25651,plain,
( and(not(t4),not(xor(sum,xor(t1,or(carry,cin))))) != and(t5,and(t6,not(xor(sum,xor(t1,or(carry,cin))))))
| and(not(t4),not(xor(sum,xor(t1,or(carry,cin))))) = and(t5,xor(carry,xor(cin,or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(sum,xor(t1,or(carry,cin))))),xor(carry,xor(cin,or(carry,cin)))) )],[refute_0_25649,refute_0_25650]) ).
cnf(refute_0_25652,plain,
and(not(t4),not(xor(sum,xor(t1,or(carry,cin))))) = and(t5,xor(carry,xor(cin,or(carry,cin)))),
inference(resolve,[$cnf( $equal(and(not(t4),not(xor(sum,xor(t1,or(carry,cin))))),and(t5,and(t6,not(xor(sum,xor(t1,or(carry,cin))))))) )],[refute_0_25430,refute_0_25651]) ).
cnf(refute_0_25653,plain,
and(not(t4),not(xor(sum,xor(t1,or(carry,cin))))) = not(or(t4,xor(sum,xor(t1,or(carry,cin))))),
inference(subst,[],[refute_0_101:[bind(X,$fot(t4)),bind(Y,$fot(xor(sum,xor(t1,or(carry,cin)))))]]) ).
cnf(refute_0_25654,plain,
( and(not(t4),not(xor(sum,xor(t1,or(carry,cin))))) != and(t5,xor(carry,xor(cin,or(carry,cin))))
| and(not(t4),not(xor(sum,xor(t1,or(carry,cin))))) != not(or(t4,xor(sum,xor(t1,or(carry,cin)))))
| not(or(t4,xor(sum,xor(t1,or(carry,cin))))) = and(t5,xor(carry,xor(cin,or(carry,cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),not(xor(sum,xor(t1,or(carry,cin))))),and(t5,xor(carry,xor(cin,or(carry,cin))))) ),[0],$fot(not(or(t4,xor(sum,xor(t1,or(carry,cin))))))]]) ).
cnf(refute_0_25655,plain,
( and(not(t4),not(xor(sum,xor(t1,or(carry,cin))))) != and(t5,xor(carry,xor(cin,or(carry,cin))))
| not(or(t4,xor(sum,xor(t1,or(carry,cin))))) = and(t5,xor(carry,xor(cin,or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(and(not(t4),not(xor(sum,xor(t1,or(carry,cin))))),not(or(t4,xor(sum,xor(t1,or(carry,cin)))))) )],[refute_0_25653,refute_0_25654]) ).
cnf(refute_0_25656,plain,
not(or(t4,xor(sum,xor(t1,or(carry,cin))))) = and(t5,xor(carry,xor(cin,or(carry,cin)))),
inference(resolve,[$cnf( $equal(and(not(t4),not(xor(sum,xor(t1,or(carry,cin))))),and(t5,xor(carry,xor(cin,or(carry,cin))))) )],[refute_0_25652,refute_0_25655]) ).
cnf(refute_0_25657,plain,
and(t6,not(and(cin,not(xor(carry,or(carry,cin)))))) = xor(t6,and(cin,not(xor(carry,or(carry,cin))))),
inference(subst,[],[refute_0_1092:[bind(X_55,$fot(not(xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_25658,plain,
( and(cin,not(xor(carry,or(carry,cin)))) != xor(carry,xor(cin,or(carry,cin)))
| and(t6,not(and(cin,not(xor(carry,or(carry,cin)))))) != xor(t6,and(cin,not(xor(carry,or(carry,cin)))))
| and(t6,not(and(cin,not(xor(carry,or(carry,cin)))))) = xor(t6,xor(carry,xor(cin,or(carry,cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(and(cin,not(xor(carry,or(carry,cin)))))),xor(t6,and(cin,not(xor(carry,or(carry,cin)))))) ),[1,1],$fot(xor(carry,xor(cin,or(carry,cin))))]]) ).
cnf(refute_0_25659,plain,
( and(t6,not(and(cin,not(xor(carry,or(carry,cin)))))) != xor(t6,and(cin,not(xor(carry,or(carry,cin)))))
| and(t6,not(and(cin,not(xor(carry,or(carry,cin)))))) = xor(t6,xor(carry,xor(cin,or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(and(cin,not(xor(carry,or(carry,cin)))),xor(carry,xor(cin,or(carry,cin)))) )],[refute_0_25569,refute_0_25658]) ).
cnf(refute_0_25660,plain,
and(t6,not(and(cin,not(xor(carry,or(carry,cin)))))) = xor(t6,xor(carry,xor(cin,or(carry,cin)))),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,not(xor(carry,or(carry,cin)))))),xor(t6,and(cin,not(xor(carry,or(carry,cin)))))) )],[refute_0_25657,refute_0_25659]) ).
cnf(refute_0_25661,plain,
not(and(not(xor(carry,or(carry,cin))),cin)) = not(and(cin,not(xor(carry,or(carry,cin))))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(cin)),bind(X_32,$fot(not(xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_25662,plain,
( and(cin,not(xor(carry,or(carry,cin)))) != xor(carry,xor(cin,or(carry,cin)))
| not(and(not(xor(carry,or(carry,cin))),cin)) != not(and(cin,not(xor(carry,or(carry,cin)))))
| not(and(not(xor(carry,or(carry,cin))),cin)) = not(xor(carry,xor(cin,or(carry,cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(xor(carry,or(carry,cin))),cin)),not(and(cin,not(xor(carry,or(carry,cin)))))) ),[1,0],$fot(xor(carry,xor(cin,or(carry,cin))))]]) ).
cnf(refute_0_25663,plain,
( not(and(not(xor(carry,or(carry,cin))),cin)) != not(and(cin,not(xor(carry,or(carry,cin)))))
| not(and(not(xor(carry,or(carry,cin))),cin)) = not(xor(carry,xor(cin,or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(and(cin,not(xor(carry,or(carry,cin)))),xor(carry,xor(cin,or(carry,cin)))) )],[refute_0_25569,refute_0_25662]) ).
cnf(refute_0_25664,plain,
not(and(not(xor(carry,or(carry,cin))),cin)) = not(xor(carry,xor(cin,or(carry,cin)))),
inference(resolve,[$cnf( $equal(not(and(not(xor(carry,or(carry,cin))),cin)),not(and(cin,not(xor(carry,or(carry,cin)))))) )],[refute_0_25661,refute_0_25663]) ).
cnf(refute_0_25665,plain,
or(xor(carry,or(carry,cin)),not(cin)) = or(not(cin),xor(carry,or(carry,cin))),
inference(subst,[],[refute_0_5:[bind(X,$fot(not(cin))),bind(Y,$fot(xor(carry,or(carry,cin))))]]) ).
cnf(refute_0_25666,plain,
not(and(not(xor(carry,or(carry,cin))),cin)) = or(xor(carry,or(carry,cin)),not(cin)),
inference(subst,[],[refute_0_787:[bind(X,$fot(xor(carry,or(carry,cin)))),bind(X_32,$fot(cin))]]) ).
cnf(refute_0_25667,plain,
( not(and(not(xor(carry,or(carry,cin))),cin)) != or(xor(carry,or(carry,cin)),not(cin))
| or(xor(carry,or(carry,cin)),not(cin)) != or(not(cin),xor(carry,or(carry,cin)))
| not(and(not(xor(carry,or(carry,cin))),cin)) = or(not(cin),xor(carry,or(carry,cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(not(xor(carry,or(carry,cin))),cin)))),bind(Y0,$fot(or(xor(carry,or(carry,cin)),not(cin)))),bind(Z0,$fot(or(not(cin),xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_25668,plain,
( or(xor(carry,or(carry,cin)),not(cin)) != or(not(cin),xor(carry,or(carry,cin)))
| not(and(not(xor(carry,or(carry,cin))),cin)) = or(not(cin),xor(carry,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(not(and(not(xor(carry,or(carry,cin))),cin)),or(xor(carry,or(carry,cin)),not(cin))) )],[refute_0_25666,refute_0_25667]) ).
cnf(refute_0_25669,plain,
not(and(not(xor(carry,or(carry,cin))),cin)) = or(not(cin),xor(carry,or(carry,cin))),
inference(resolve,[$cnf( $equal(or(xor(carry,or(carry,cin)),not(cin)),or(not(cin),xor(carry,or(carry,cin)))) )],[refute_0_25665,refute_0_25668]) ).
cnf(refute_0_25670,plain,
( not(and(not(xor(carry,or(carry,cin))),cin)) != not(xor(carry,xor(cin,or(carry,cin))))
| not(and(not(xor(carry,or(carry,cin))),cin)) != or(not(cin),xor(carry,or(carry,cin)))
| or(not(cin),xor(carry,or(carry,cin))) = not(xor(carry,xor(cin,or(carry,cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(not(xor(carry,or(carry,cin))),cin)),not(xor(carry,xor(cin,or(carry,cin))))) ),[0],$fot(or(not(cin),xor(carry,or(carry,cin))))]]) ).
cnf(refute_0_25671,plain,
( not(and(not(xor(carry,or(carry,cin))),cin)) != not(xor(carry,xor(cin,or(carry,cin))))
| or(not(cin),xor(carry,or(carry,cin))) = not(xor(carry,xor(cin,or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(not(and(not(xor(carry,or(carry,cin))),cin)),or(not(cin),xor(carry,or(carry,cin)))) )],[refute_0_25669,refute_0_25670]) ).
cnf(refute_0_25672,plain,
or(not(cin),xor(carry,or(carry,cin))) = not(xor(carry,xor(cin,or(carry,cin)))),
inference(resolve,[$cnf( $equal(not(and(not(xor(carry,or(carry,cin))),cin)),not(xor(carry,xor(cin,or(carry,cin))))) )],[refute_0_25664,refute_0_25671]) ).
cnf(refute_0_25673,plain,
and(t6,or(not(cin),xor(carry,or(carry,cin)))) = and(t6,or(not(cin),xor(carry,or(carry,cin)))),
introduced(tautology,[refl,[$fot(and(t6,or(not(cin),xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_25674,plain,
( and(t6,or(not(cin),xor(carry,or(carry,cin)))) != and(t6,or(not(cin),xor(carry,or(carry,cin))))
| or(not(cin),xor(carry,or(carry,cin))) != not(xor(carry,xor(cin,or(carry,cin))))
| and(t6,or(not(cin),xor(carry,or(carry,cin)))) = and(t6,not(xor(carry,xor(cin,or(carry,cin))))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,or(not(cin),xor(carry,or(carry,cin)))),and(t6,or(not(cin),xor(carry,or(carry,cin))))) ),[1,1],$fot(not(xor(carry,xor(cin,or(carry,cin)))))]]) ).
cnf(refute_0_25675,plain,
( or(not(cin),xor(carry,or(carry,cin))) != not(xor(carry,xor(cin,or(carry,cin))))
| and(t6,or(not(cin),xor(carry,or(carry,cin)))) = and(t6,not(xor(carry,xor(cin,or(carry,cin))))) ),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(carry,or(carry,cin)))),and(t6,or(not(cin),xor(carry,or(carry,cin))))) )],[refute_0_25673,refute_0_25674]) ).
cnf(refute_0_25676,plain,
and(t6,or(not(cin),xor(carry,or(carry,cin)))) = and(t6,not(xor(carry,xor(cin,or(carry,cin))))),
inference(resolve,[$cnf( $equal(or(not(cin),xor(carry,or(carry,cin))),not(xor(carry,xor(cin,or(carry,cin))))) )],[refute_0_25672,refute_0_25675]) ).
cnf(refute_0_25677,plain,
and(t6,or(xor(carry,or(carry,cin)),not(cin))) = and(t6,or(not(cin),xor(carry,or(carry,cin)))),
inference(subst,[],[refute_0_9736:[bind(X_453,$fot(xor(carry,or(carry,cin))))]]) ).
cnf(refute_0_25678,plain,
xor(t6,and(cin,not(xor(carry,or(carry,cin))))) = and(t6,or(xor(carry,or(carry,cin)),not(cin))),
inference(subst,[],[refute_0_7535:[bind(X,$fot(xor(carry,or(carry,cin))))]]) ).
cnf(refute_0_25679,plain,
( and(t6,or(xor(carry,or(carry,cin)),not(cin))) != and(t6,or(not(cin),xor(carry,or(carry,cin))))
| xor(t6,and(cin,not(xor(carry,or(carry,cin))))) != and(t6,or(xor(carry,or(carry,cin)),not(cin)))
| xor(t6,and(cin,not(xor(carry,or(carry,cin))))) = and(t6,or(not(cin),xor(carry,or(carry,cin)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t6,and(cin,not(xor(carry,or(carry,cin))))))),bind(Y0,$fot(and(t6,or(xor(carry,or(carry,cin)),not(cin))))),bind(Z0,$fot(and(t6,or(not(cin),xor(carry,or(carry,cin))))))]]) ).
cnf(refute_0_25680,plain,
( and(t6,or(xor(carry,or(carry,cin)),not(cin))) != and(t6,or(not(cin),xor(carry,or(carry,cin))))
| xor(t6,and(cin,not(xor(carry,or(carry,cin))))) = and(t6,or(not(cin),xor(carry,or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,not(xor(carry,or(carry,cin))))),and(t6,or(xor(carry,or(carry,cin)),not(cin)))) )],[refute_0_25678,refute_0_25679]) ).
cnf(refute_0_25681,plain,
xor(t6,and(cin,not(xor(carry,or(carry,cin))))) = and(t6,or(not(cin),xor(carry,or(carry,cin)))),
inference(resolve,[$cnf( $equal(and(t6,or(xor(carry,or(carry,cin)),not(cin))),and(t6,or(not(cin),xor(carry,or(carry,cin))))) )],[refute_0_25677,refute_0_25680]) ).
cnf(refute_0_25682,plain,
( and(t6,not(and(cin,not(xor(carry,or(carry,cin)))))) != xor(t6,and(cin,not(xor(carry,or(carry,cin)))))
| xor(t6,and(cin,not(xor(carry,or(carry,cin))))) != and(t6,or(not(cin),xor(carry,or(carry,cin))))
| and(t6,not(and(cin,not(xor(carry,or(carry,cin)))))) = and(t6,or(not(cin),xor(carry,or(carry,cin)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t6,not(and(cin,not(xor(carry,or(carry,cin)))))))),bind(Y0,$fot(xor(t6,and(cin,not(xor(carry,or(carry,cin))))))),bind(Z0,$fot(and(t6,or(not(cin),xor(carry,or(carry,cin))))))]]) ).
cnf(refute_0_25683,plain,
( xor(t6,and(cin,not(xor(carry,or(carry,cin))))) != and(t6,or(not(cin),xor(carry,or(carry,cin))))
| and(t6,not(and(cin,not(xor(carry,or(carry,cin)))))) = and(t6,or(not(cin),xor(carry,or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,not(xor(carry,or(carry,cin)))))),xor(t6,and(cin,not(xor(carry,or(carry,cin)))))) )],[refute_0_25657,refute_0_25682]) ).
cnf(refute_0_25684,plain,
and(t6,not(and(cin,not(xor(carry,or(carry,cin)))))) = and(t6,or(not(cin),xor(carry,or(carry,cin)))),
inference(resolve,[$cnf( $equal(xor(t6,and(cin,not(xor(carry,or(carry,cin))))),and(t6,or(not(cin),xor(carry,or(carry,cin))))) )],[refute_0_25681,refute_0_25683]) ).
cnf(refute_0_25685,plain,
( and(t6,not(and(cin,not(xor(carry,or(carry,cin)))))) != and(t6,or(not(cin),xor(carry,or(carry,cin))))
| and(t6,or(not(cin),xor(carry,or(carry,cin)))) != and(t6,not(xor(carry,xor(cin,or(carry,cin)))))
| and(t6,not(and(cin,not(xor(carry,or(carry,cin)))))) = and(t6,not(xor(carry,xor(cin,or(carry,cin))))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t6,not(and(cin,not(xor(carry,or(carry,cin)))))))),bind(Y0,$fot(and(t6,or(not(cin),xor(carry,or(carry,cin)))))),bind(Z0,$fot(and(t6,not(xor(carry,xor(cin,or(carry,cin)))))))]]) ).
cnf(refute_0_25686,plain,
( and(t6,or(not(cin),xor(carry,or(carry,cin)))) != and(t6,not(xor(carry,xor(cin,or(carry,cin)))))
| and(t6,not(and(cin,not(xor(carry,or(carry,cin)))))) = and(t6,not(xor(carry,xor(cin,or(carry,cin))))) ),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,not(xor(carry,or(carry,cin)))))),and(t6,or(not(cin),xor(carry,or(carry,cin))))) )],[refute_0_25684,refute_0_25685]) ).
cnf(refute_0_25687,plain,
and(t6,not(and(cin,not(xor(carry,or(carry,cin)))))) = and(t6,not(xor(carry,xor(cin,or(carry,cin))))),
inference(resolve,[$cnf( $equal(and(t6,or(not(cin),xor(carry,or(carry,cin)))),and(t6,not(xor(carry,xor(cin,or(carry,cin)))))) )],[refute_0_25676,refute_0_25686]) ).
cnf(refute_0_25688,plain,
( and(t6,not(and(cin,not(xor(carry,or(carry,cin)))))) != and(t6,not(xor(carry,xor(cin,or(carry,cin)))))
| and(t6,not(and(cin,not(xor(carry,or(carry,cin)))))) != xor(t6,xor(carry,xor(cin,or(carry,cin))))
| and(t6,not(xor(carry,xor(cin,or(carry,cin))))) = xor(t6,xor(carry,xor(cin,or(carry,cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(and(cin,not(xor(carry,or(carry,cin)))))),xor(t6,xor(carry,xor(cin,or(carry,cin))))) ),[0],$fot(and(t6,not(xor(carry,xor(cin,or(carry,cin))))))]]) ).
cnf(refute_0_25689,plain,
( and(t6,not(and(cin,not(xor(carry,or(carry,cin)))))) != xor(t6,xor(carry,xor(cin,or(carry,cin))))
| and(t6,not(xor(carry,xor(cin,or(carry,cin))))) = xor(t6,xor(carry,xor(cin,or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,not(xor(carry,or(carry,cin)))))),and(t6,not(xor(carry,xor(cin,or(carry,cin)))))) )],[refute_0_25687,refute_0_25688]) ).
cnf(refute_0_25690,plain,
( and(t6,not(xor(carry,xor(cin,or(carry,cin))))) != xor(t6,xor(carry,xor(cin,or(carry,cin))))
| xor(t6,xor(carry,xor(cin,or(carry,cin)))) != xor(sum,xor(t1,or(carry,cin)))
| and(t6,not(xor(carry,xor(cin,or(carry,cin))))) = xor(sum,xor(t1,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,not(xor(carry,xor(cin,or(carry,cin))))),xor(sum,xor(t1,or(carry,cin)))) ),[0],$fot(xor(t6,xor(carry,xor(cin,or(carry,cin)))))]]) ).
cnf(refute_0_25691,plain,
( and(t6,not(xor(carry,xor(cin,or(carry,cin))))) != xor(t6,xor(carry,xor(cin,or(carry,cin))))
| and(t6,not(xor(carry,xor(cin,or(carry,cin))))) = xor(sum,xor(t1,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(xor(t6,xor(carry,xor(cin,or(carry,cin)))),xor(sum,xor(t1,or(carry,cin)))) )],[refute_0_25589,refute_0_25690]) ).
cnf(refute_0_25692,plain,
( and(t6,not(and(cin,not(xor(carry,or(carry,cin)))))) != xor(t6,xor(carry,xor(cin,or(carry,cin))))
| and(t6,not(xor(carry,xor(cin,or(carry,cin))))) = xor(sum,xor(t1,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(carry,xor(cin,or(carry,cin))))),xor(t6,xor(carry,xor(cin,or(carry,cin))))) )],[refute_0_25689,refute_0_25691]) ).
cnf(refute_0_25693,plain,
and(t6,not(xor(carry,xor(cin,or(carry,cin))))) = xor(sum,xor(t1,or(carry,cin))),
inference(resolve,[$cnf( $equal(and(t6,not(and(cin,not(xor(carry,or(carry,cin)))))),xor(t6,xor(carry,xor(cin,or(carry,cin))))) )],[refute_0_25660,refute_0_25692]) ).
cnf(refute_0_25694,plain,
and(t6,not(and(carry_def,cin))) = xor(t6,and(carry_def,cin)),
inference(subst,[],[refute_0_2332:[bind(X_60,$fot(carry_def))]]) ).
cnf(refute_0_25695,plain,
and(cin,not(xor(carry,or(carry,cin)))) = and(cin,not(xor(carry,or(carry,cin)))),
introduced(tautology,[refl,[$fot(and(cin,not(xor(carry,or(carry,cin)))))]]) ).
cnf(refute_0_25696,plain,
( and(cin,not(xor(carry,or(carry,cin)))) != and(cin,not(xor(carry,or(carry,cin))))
| not(xor(carry,or(carry,cin))) != or(a,t7)
| and(cin,not(xor(carry,or(carry,cin)))) = and(cin,or(a,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,not(xor(carry,or(carry,cin)))),and(cin,not(xor(carry,or(carry,cin))))) ),[1,1],$fot(or(a,t7))]]) ).
cnf(refute_0_25697,plain,
( not(xor(carry,or(carry,cin))) != or(a,t7)
| and(cin,not(xor(carry,or(carry,cin)))) = and(cin,or(a,t7)) ),
inference(resolve,[$cnf( $equal(and(cin,not(xor(carry,or(carry,cin)))),and(cin,not(xor(carry,or(carry,cin))))) )],[refute_0_25695,refute_0_25696]) ).
cnf(refute_0_25698,plain,
and(cin,not(xor(carry,or(carry,cin)))) = and(cin,or(a,t7)),
inference(resolve,[$cnf( $equal(not(xor(carry,or(carry,cin))),or(a,t7)) )],[refute_0_14609,refute_0_25697]) ).
cnf(refute_0_25699,plain,
( and(cin,not(xor(carry,or(carry,cin)))) != and(cin,or(a,t7))
| and(cin,or(a,t7)) != and(carry_def,cin)
| and(cin,not(xor(carry,or(carry,cin)))) = and(carry_def,cin) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(cin,not(xor(carry,or(carry,cin)))))),bind(Y0,$fot(and(cin,or(a,t7)))),bind(Z0,$fot(and(carry_def,cin)))]]) ).
cnf(refute_0_25700,plain,
( and(cin,or(a,t7)) != and(carry_def,cin)
| and(cin,not(xor(carry,or(carry,cin)))) = and(carry_def,cin) ),
inference(resolve,[$cnf( $equal(and(cin,not(xor(carry,or(carry,cin)))),and(cin,or(a,t7))) )],[refute_0_25698,refute_0_25699]) ).
cnf(refute_0_25701,plain,
and(cin,not(xor(carry,or(carry,cin)))) = and(carry_def,cin),
inference(resolve,[$cnf( $equal(and(cin,or(a,t7)),and(carry_def,cin)) )],[refute_0_4149,refute_0_25700]) ).
cnf(refute_0_25702,plain,
( and(cin,not(xor(carry,or(carry,cin)))) != and(carry_def,cin)
| and(cin,not(xor(carry,or(carry,cin)))) != xor(carry,xor(cin,or(carry,cin)))
| and(carry_def,cin) = xor(carry,xor(cin,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(cin,not(xor(carry,or(carry,cin)))),xor(carry,xor(cin,or(carry,cin)))) ),[0],$fot(and(carry_def,cin))]]) ).
cnf(refute_0_25703,plain,
( and(cin,not(xor(carry,or(carry,cin)))) != xor(carry,xor(cin,or(carry,cin)))
| and(carry_def,cin) = xor(carry,xor(cin,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(cin,not(xor(carry,or(carry,cin)))),and(carry_def,cin)) )],[refute_0_25701,refute_0_25702]) ).
cnf(refute_0_25704,plain,
and(carry_def,cin) = xor(carry,xor(cin,or(carry,cin))),
inference(resolve,[$cnf( $equal(and(cin,not(xor(carry,or(carry,cin)))),xor(carry,xor(cin,or(carry,cin)))) )],[refute_0_25569,refute_0_25703]) ).
cnf(refute_0_25705,plain,
( and(carry_def,cin) != xor(carry,xor(cin,or(carry,cin)))
| xor(carry,xor(cin,or(carry,cin))) = and(carry_def,cin) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(carry_def,cin))),bind(Y0,$fot(xor(carry,xor(cin,or(carry,cin)))))]]) ).
cnf(refute_0_25706,plain,
xor(carry,xor(cin,or(carry,cin))) = and(carry_def,cin),
inference(resolve,[$cnf( $equal(and(carry_def,cin),xor(carry,xor(cin,or(carry,cin)))) )],[refute_0_25704,refute_0_25705]) ).
cnf(refute_0_25707,plain,
not(xor(carry,xor(cin,or(carry,cin)))) = not(xor(carry,xor(cin,or(carry,cin)))),
introduced(tautology,[refl,[$fot(not(xor(carry,xor(cin,or(carry,cin)))))]]) ).
cnf(refute_0_25708,plain,
( not(xor(carry,xor(cin,or(carry,cin)))) != not(xor(carry,xor(cin,or(carry,cin))))
| xor(carry,xor(cin,or(carry,cin))) != and(carry_def,cin)
| not(xor(carry,xor(cin,or(carry,cin)))) = not(and(carry_def,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(carry,xor(cin,or(carry,cin)))),not(xor(carry,xor(cin,or(carry,cin))))) ),[1,0],$fot(and(carry_def,cin))]]) ).
cnf(refute_0_25709,plain,
( xor(carry,xor(cin,or(carry,cin))) != and(carry_def,cin)
| not(xor(carry,xor(cin,or(carry,cin)))) = not(and(carry_def,cin)) ),
inference(resolve,[$cnf( $equal(not(xor(carry,xor(cin,or(carry,cin)))),not(xor(carry,xor(cin,or(carry,cin))))) )],[refute_0_25707,refute_0_25708]) ).
cnf(refute_0_25710,plain,
not(xor(carry,xor(cin,or(carry,cin)))) = not(and(carry_def,cin)),
inference(resolve,[$cnf( $equal(xor(carry,xor(cin,or(carry,cin))),and(carry_def,cin)) )],[refute_0_25706,refute_0_25709]) ).
cnf(refute_0_25711,plain,
and(t6,not(xor(carry,xor(cin,or(carry,cin))))) = and(t6,not(xor(carry,xor(cin,or(carry,cin))))),
introduced(tautology,[refl,[$fot(and(t6,not(xor(carry,xor(cin,or(carry,cin))))))]]) ).
cnf(refute_0_25712,plain,
( and(t6,not(xor(carry,xor(cin,or(carry,cin))))) != and(t6,not(xor(carry,xor(cin,or(carry,cin)))))
| not(xor(carry,xor(cin,or(carry,cin)))) != not(and(carry_def,cin))
| and(t6,not(xor(carry,xor(cin,or(carry,cin))))) = and(t6,not(and(carry_def,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(xor(carry,xor(cin,or(carry,cin))))),and(t6,not(xor(carry,xor(cin,or(carry,cin)))))) ),[1,1],$fot(not(and(carry_def,cin)))]]) ).
cnf(refute_0_25713,plain,
( not(xor(carry,xor(cin,or(carry,cin)))) != not(and(carry_def,cin))
| and(t6,not(xor(carry,xor(cin,or(carry,cin))))) = and(t6,not(and(carry_def,cin))) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(carry,xor(cin,or(carry,cin))))),and(t6,not(xor(carry,xor(cin,or(carry,cin)))))) )],[refute_0_25711,refute_0_25712]) ).
cnf(refute_0_25714,plain,
and(t6,not(xor(carry,xor(cin,or(carry,cin))))) = and(t6,not(and(carry_def,cin))),
inference(resolve,[$cnf( $equal(not(xor(carry,xor(cin,or(carry,cin)))),not(and(carry_def,cin))) )],[refute_0_25710,refute_0_25713]) ).
cnf(refute_0_25715,plain,
( and(t6,not(and(carry_def,cin))) != xor(t6,and(carry_def,cin))
| and(t6,not(xor(carry,xor(cin,or(carry,cin))))) != and(t6,not(and(carry_def,cin)))
| and(t6,not(xor(carry,xor(cin,or(carry,cin))))) = xor(t6,and(carry_def,cin)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t6,not(xor(carry,xor(cin,or(carry,cin))))))),bind(Y0,$fot(and(t6,not(and(carry_def,cin))))),bind(Z0,$fot(xor(t6,and(carry_def,cin))))]]) ).
cnf(refute_0_25716,plain,
( and(t6,not(and(carry_def,cin))) != xor(t6,and(carry_def,cin))
| and(t6,not(xor(carry,xor(cin,or(carry,cin))))) = xor(t6,and(carry_def,cin)) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(carry,xor(cin,or(carry,cin))))),and(t6,not(and(carry_def,cin)))) )],[refute_0_25714,refute_0_25715]) ).
cnf(refute_0_25717,plain,
and(t6,not(xor(carry,xor(cin,or(carry,cin))))) = xor(t6,and(carry_def,cin)),
inference(resolve,[$cnf( $equal(and(t6,not(and(carry_def,cin))),xor(t6,and(carry_def,cin))) )],[refute_0_25694,refute_0_25716]) ).
cnf(refute_0_25718,plain,
( and(t6,not(xor(carry,xor(cin,or(carry,cin))))) != xor(sum,xor(t1,or(carry,cin)))
| and(t6,not(xor(carry,xor(cin,or(carry,cin))))) != xor(t6,and(carry_def,cin))
| xor(t6,and(carry_def,cin)) = xor(sum,xor(t1,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(xor(carry,xor(cin,or(carry,cin))))),xor(sum,xor(t1,or(carry,cin)))) ),[0],$fot(xor(t6,and(carry_def,cin)))]]) ).
cnf(refute_0_25719,plain,
( and(t6,not(xor(carry,xor(cin,or(carry,cin))))) != xor(sum,xor(t1,or(carry,cin)))
| xor(t6,and(carry_def,cin)) = xor(sum,xor(t1,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(carry,xor(cin,or(carry,cin))))),xor(t6,and(carry_def,cin))) )],[refute_0_25717,refute_0_25718]) ).
cnf(refute_0_25720,plain,
xor(sum,not(and(cin,t1))) = not(xor(sum,and(cin,t1))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(sum)),bind(X_334,$fot(and(cin,t1)))]]) ).
cnf(refute_0_25721,plain,
xor(sum,xor(t1,or(carry,cin))) = xor(sum,xor(t1,or(carry,cin))),
introduced(tautology,[refl,[$fot(xor(sum,xor(t1,or(carry,cin))))]]) ).
cnf(refute_0_25722,plain,
( xor(sum,xor(t1,or(carry,cin))) != xor(sum,xor(t1,or(carry,cin)))
| xor(t1,or(carry,cin)) != not(and(cin,t1))
| xor(sum,xor(t1,or(carry,cin))) = xor(sum,not(and(cin,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,xor(t1,or(carry,cin))),xor(sum,xor(t1,or(carry,cin)))) ),[1,1],$fot(not(and(cin,t1)))]]) ).
cnf(refute_0_25723,plain,
( xor(t1,or(carry,cin)) != not(and(cin,t1))
| xor(sum,xor(t1,or(carry,cin))) = xor(sum,not(and(cin,t1))) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(t1,or(carry,cin))),xor(sum,xor(t1,or(carry,cin)))) )],[refute_0_25721,refute_0_25722]) ).
cnf(refute_0_25724,plain,
xor(sum,xor(t1,or(carry,cin))) = xor(sum,not(and(cin,t1))),
inference(resolve,[$cnf( $equal(xor(t1,or(carry,cin)),not(and(cin,t1))) )],[refute_0_14621,refute_0_25723]) ).
cnf(refute_0_25725,plain,
( xor(sum,not(and(cin,t1))) != not(xor(sum,and(cin,t1)))
| xor(sum,xor(t1,or(carry,cin))) != xor(sum,not(and(cin,t1)))
| xor(sum,xor(t1,or(carry,cin))) = not(xor(sum,and(cin,t1))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(sum,xor(t1,or(carry,cin))))),bind(Y0,$fot(xor(sum,not(and(cin,t1))))),bind(Z0,$fot(not(xor(sum,and(cin,t1)))))]]) ).
cnf(refute_0_25726,plain,
( xor(sum,not(and(cin,t1))) != not(xor(sum,and(cin,t1)))
| xor(sum,xor(t1,or(carry,cin))) = not(xor(sum,and(cin,t1))) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(t1,or(carry,cin))),xor(sum,not(and(cin,t1)))) )],[refute_0_25724,refute_0_25725]) ).
cnf(refute_0_25727,plain,
xor(sum,xor(t1,or(carry,cin))) = not(xor(sum,and(cin,t1))),
inference(resolve,[$cnf( $equal(xor(sum,not(and(cin,t1))),not(xor(sum,and(cin,t1)))) )],[refute_0_25720,refute_0_25726]) ).
cnf(refute_0_25728,plain,
( xor(sum,xor(t1,or(carry,cin))) != not(xor(sum,and(cin,t1)))
| xor(t6,and(carry_def,cin)) != xor(sum,xor(t1,or(carry,cin)))
| xor(t6,and(carry_def,cin)) = not(xor(sum,and(cin,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(t6,and(carry_def,cin)),xor(sum,xor(t1,or(carry,cin)))) ),[1],$fot(not(xor(sum,and(cin,t1))))]]) ).
cnf(refute_0_25729,plain,
( xor(t6,and(carry_def,cin)) != xor(sum,xor(t1,or(carry,cin)))
| xor(t6,and(carry_def,cin)) = not(xor(sum,and(cin,t1))) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(t1,or(carry,cin))),not(xor(sum,and(cin,t1)))) )],[refute_0_25727,refute_0_25728]) ).
cnf(refute_0_25730,plain,
( and(t6,not(xor(carry,xor(cin,or(carry,cin))))) != xor(sum,xor(t1,or(carry,cin)))
| xor(t6,and(carry_def,cin)) = not(xor(sum,and(cin,t1))) ),
inference(resolve,[$cnf( $equal(xor(t6,and(carry_def,cin)),xor(sum,xor(t1,or(carry,cin)))) )],[refute_0_25719,refute_0_25729]) ).
cnf(refute_0_25731,plain,
xor(t6,and(carry_def,cin)) = not(xor(sum,and(cin,t1))),
inference(resolve,[$cnf( $equal(and(t6,not(xor(carry,xor(cin,or(carry,cin))))),xor(sum,xor(t1,or(carry,cin)))) )],[refute_0_25693,refute_0_25730]) ).
cnf(refute_0_25732,plain,
( xor(t6,and(carry_def,cin)) != not(xor(sum,and(cin,t1)))
| not(xor(sum,and(cin,t1))) = xor(t6,and(carry_def,cin)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(xor(t6,and(carry_def,cin)))),bind(Y0,$fot(not(xor(sum,and(cin,t1)))))]]) ).
cnf(refute_0_25733,plain,
not(xor(sum,and(cin,t1))) = xor(t6,and(carry_def,cin)),
inference(resolve,[$cnf( $equal(xor(t6,and(carry_def,cin)),not(xor(sum,and(cin,t1)))) )],[refute_0_25731,refute_0_25732]) ).
cnf(refute_0_25734,plain,
( not(xor(sum,and(cin,t1))) != xor(t6,and(carry_def,cin))
| xor(sum,not(and(cin,t1))) != not(xor(sum,and(cin,t1)))
| xor(sum,not(and(cin,t1))) = xor(t6,and(carry_def,cin)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(sum,not(and(cin,t1))))),bind(Y0,$fot(not(xor(sum,and(cin,t1))))),bind(Z0,$fot(xor(t6,and(carry_def,cin))))]]) ).
cnf(refute_0_25735,plain,
( not(xor(sum,and(cin,t1))) != xor(t6,and(carry_def,cin))
| xor(sum,not(and(cin,t1))) = xor(t6,and(carry_def,cin)) ),
inference(resolve,[$cnf( $equal(xor(sum,not(and(cin,t1))),not(xor(sum,and(cin,t1)))) )],[refute_0_25720,refute_0_25734]) ).
cnf(refute_0_25736,plain,
xor(sum,not(and(cin,t1))) = xor(t6,and(carry_def,cin)),
inference(resolve,[$cnf( $equal(not(xor(sum,and(cin,t1))),xor(t6,and(carry_def,cin))) )],[refute_0_25733,refute_0_25735]) ).
cnf(refute_0_25737,plain,
( xor(sum,not(and(cin,t1))) != xor(t6,and(carry_def,cin))
| xor(sum,xor(t1,or(carry,cin))) != xor(sum,not(and(cin,t1)))
| xor(sum,xor(t1,or(carry,cin))) = xor(t6,and(carry_def,cin)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(sum,xor(t1,or(carry,cin))))),bind(Y0,$fot(xor(sum,not(and(cin,t1))))),bind(Z0,$fot(xor(t6,and(carry_def,cin))))]]) ).
cnf(refute_0_25738,plain,
( xor(sum,not(and(cin,t1))) != xor(t6,and(carry_def,cin))
| xor(sum,xor(t1,or(carry,cin))) = xor(t6,and(carry_def,cin)) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(t1,or(carry,cin))),xor(sum,not(and(cin,t1)))) )],[refute_0_25724,refute_0_25737]) ).
cnf(refute_0_25739,plain,
xor(sum,xor(t1,or(carry,cin))) = xor(t6,and(carry_def,cin)),
inference(resolve,[$cnf( $equal(xor(sum,not(and(cin,t1))),xor(t6,and(carry_def,cin))) )],[refute_0_25736,refute_0_25738]) ).
cnf(refute_0_25740,plain,
or(t4,xor(sum,xor(t1,or(carry,cin)))) = or(t4,xor(sum,xor(t1,or(carry,cin)))),
introduced(tautology,[refl,[$fot(or(t4,xor(sum,xor(t1,or(carry,cin)))))]]) ).
cnf(refute_0_25741,plain,
( or(t4,xor(sum,xor(t1,or(carry,cin)))) != or(t4,xor(sum,xor(t1,or(carry,cin))))
| xor(sum,xor(t1,or(carry,cin))) != xor(t6,and(carry_def,cin))
| or(t4,xor(sum,xor(t1,or(carry,cin)))) = or(t4,xor(t6,and(carry_def,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,xor(sum,xor(t1,or(carry,cin)))),or(t4,xor(sum,xor(t1,or(carry,cin))))) ),[1,1],$fot(xor(t6,and(carry_def,cin)))]]) ).
cnf(refute_0_25742,plain,
( xor(sum,xor(t1,or(carry,cin))) != xor(t6,and(carry_def,cin))
| or(t4,xor(sum,xor(t1,or(carry,cin)))) = or(t4,xor(t6,and(carry_def,cin))) ),
inference(resolve,[$cnf( $equal(or(t4,xor(sum,xor(t1,or(carry,cin)))),or(t4,xor(sum,xor(t1,or(carry,cin))))) )],[refute_0_25740,refute_0_25741]) ).
cnf(refute_0_25743,plain,
or(t4,xor(sum,xor(t1,or(carry,cin)))) = or(t4,xor(t6,and(carry_def,cin))),
inference(resolve,[$cnf( $equal(xor(sum,xor(t1,or(carry,cin))),xor(t6,and(carry_def,cin))) )],[refute_0_25739,refute_0_25742]) ).
cnf(refute_0_25744,plain,
not(or(t4,xor(sum,xor(t1,or(carry,cin))))) = not(or(t4,xor(sum,xor(t1,or(carry,cin))))),
introduced(tautology,[refl,[$fot(not(or(t4,xor(sum,xor(t1,or(carry,cin))))))]]) ).
cnf(refute_0_25745,plain,
( not(or(t4,xor(sum,xor(t1,or(carry,cin))))) != not(or(t4,xor(sum,xor(t1,or(carry,cin)))))
| or(t4,xor(sum,xor(t1,or(carry,cin)))) != or(t4,xor(t6,and(carry_def,cin)))
| not(or(t4,xor(sum,xor(t1,or(carry,cin))))) = not(or(t4,xor(t6,and(carry_def,cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t4,xor(sum,xor(t1,or(carry,cin))))),not(or(t4,xor(sum,xor(t1,or(carry,cin)))))) ),[1,0],$fot(or(t4,xor(t6,and(carry_def,cin))))]]) ).
cnf(refute_0_25746,plain,
( or(t4,xor(sum,xor(t1,or(carry,cin)))) != or(t4,xor(t6,and(carry_def,cin)))
| not(or(t4,xor(sum,xor(t1,or(carry,cin))))) = not(or(t4,xor(t6,and(carry_def,cin)))) ),
inference(resolve,[$cnf( $equal(not(or(t4,xor(sum,xor(t1,or(carry,cin))))),not(or(t4,xor(sum,xor(t1,or(carry,cin)))))) )],[refute_0_25744,refute_0_25745]) ).
cnf(refute_0_25747,plain,
not(or(t4,xor(sum,xor(t1,or(carry,cin))))) = not(or(t4,xor(t6,and(carry_def,cin)))),
inference(resolve,[$cnf( $equal(or(t4,xor(sum,xor(t1,or(carry,cin)))),or(t4,xor(t6,and(carry_def,cin)))) )],[refute_0_25743,refute_0_25746]) ).
cnf(refute_0_25748,plain,
( not(or(t4,xor(sum,xor(t1,or(carry,cin))))) != and(t5,xor(carry,xor(cin,or(carry,cin))))
| not(or(t4,xor(sum,xor(t1,or(carry,cin))))) != not(or(t4,xor(t6,and(carry_def,cin))))
| not(or(t4,xor(t6,and(carry_def,cin)))) = and(t5,xor(carry,xor(cin,or(carry,cin)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t4,xor(sum,xor(t1,or(carry,cin))))),and(t5,xor(carry,xor(cin,or(carry,cin))))) ),[0],$fot(not(or(t4,xor(t6,and(carry_def,cin)))))]]) ).
cnf(refute_0_25749,plain,
( not(or(t4,xor(sum,xor(t1,or(carry,cin))))) != and(t5,xor(carry,xor(cin,or(carry,cin))))
| not(or(t4,xor(t6,and(carry_def,cin)))) = and(t5,xor(carry,xor(cin,or(carry,cin)))) ),
inference(resolve,[$cnf( $equal(not(or(t4,xor(sum,xor(t1,or(carry,cin))))),not(or(t4,xor(t6,and(carry_def,cin))))) )],[refute_0_25747,refute_0_25748]) ).
cnf(refute_0_25750,plain,
and(t5,and(carry_def,cin)) = and(carry_def,and(t5,cin)),
inference(subst,[],[refute_0_4220:[bind(X,$fot(carry_def)),bind(Z,$fot(cin)),bind(X_669,$fot(t5))]]) ).
cnf(refute_0_25751,plain,
( and(carry_def,and(t5,cin)) != and(carry_def,not(t7))
| and(t5,and(carry_def,cin)) != and(carry_def,and(t5,cin))
| and(t5,and(carry_def,cin)) = and(carry_def,not(t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t5,and(carry_def,cin)))),bind(Y0,$fot(and(carry_def,and(t5,cin)))),bind(Z0,$fot(and(carry_def,not(t7))))]]) ).
cnf(refute_0_25752,plain,
( and(carry_def,and(t5,cin)) != and(carry_def,not(t7))
| and(t5,and(carry_def,cin)) = and(carry_def,not(t7)) ),
inference(resolve,[$cnf( $equal(and(t5,and(carry_def,cin)),and(carry_def,and(t5,cin))) )],[refute_0_25750,refute_0_25751]) ).
cnf(refute_0_25753,plain,
and(t5,and(carry_def,cin)) = and(carry_def,not(t7)),
inference(resolve,[$cnf( $equal(and(carry_def,and(t5,cin)),and(carry_def,not(t7))) )],[refute_0_15275,refute_0_25752]) ).
cnf(refute_0_25754,plain,
and(t5,xor(carry,xor(cin,or(carry,cin)))) = and(t5,xor(carry,xor(cin,or(carry,cin)))),
introduced(tautology,[refl,[$fot(and(t5,xor(carry,xor(cin,or(carry,cin)))))]]) ).
cnf(refute_0_25755,plain,
( and(t5,xor(carry,xor(cin,or(carry,cin)))) != and(t5,xor(carry,xor(cin,or(carry,cin))))
| xor(carry,xor(cin,or(carry,cin))) != and(carry_def,cin)
| and(t5,xor(carry,xor(cin,or(carry,cin)))) = and(t5,and(carry_def,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,xor(carry,xor(cin,or(carry,cin)))),and(t5,xor(carry,xor(cin,or(carry,cin))))) ),[1,1],$fot(and(carry_def,cin))]]) ).
cnf(refute_0_25756,plain,
( xor(carry,xor(cin,or(carry,cin))) != and(carry_def,cin)
| and(t5,xor(carry,xor(cin,or(carry,cin)))) = and(t5,and(carry_def,cin)) ),
inference(resolve,[$cnf( $equal(and(t5,xor(carry,xor(cin,or(carry,cin)))),and(t5,xor(carry,xor(cin,or(carry,cin))))) )],[refute_0_25754,refute_0_25755]) ).
cnf(refute_0_25757,plain,
and(t5,xor(carry,xor(cin,or(carry,cin)))) = and(t5,and(carry_def,cin)),
inference(resolve,[$cnf( $equal(xor(carry,xor(cin,or(carry,cin))),and(carry_def,cin)) )],[refute_0_25706,refute_0_25756]) ).
cnf(refute_0_25758,plain,
( and(t5,and(carry_def,cin)) != and(carry_def,not(t7))
| and(t5,xor(carry,xor(cin,or(carry,cin)))) != and(t5,and(carry_def,cin))
| and(t5,xor(carry,xor(cin,or(carry,cin)))) = and(carry_def,not(t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t5,xor(carry,xor(cin,or(carry,cin)))))),bind(Y0,$fot(and(t5,and(carry_def,cin)))),bind(Z0,$fot(and(carry_def,not(t7))))]]) ).
cnf(refute_0_25759,plain,
( and(t5,and(carry_def,cin)) != and(carry_def,not(t7))
| and(t5,xor(carry,xor(cin,or(carry,cin)))) = and(carry_def,not(t7)) ),
inference(resolve,[$cnf( $equal(and(t5,xor(carry,xor(cin,or(carry,cin)))),and(t5,and(carry_def,cin))) )],[refute_0_25757,refute_0_25758]) ).
cnf(refute_0_25760,plain,
and(t5,xor(carry,xor(cin,or(carry,cin)))) = and(carry_def,not(t7)),
inference(resolve,[$cnf( $equal(and(t5,and(carry_def,cin)),and(carry_def,not(t7))) )],[refute_0_25753,refute_0_25759]) ).
cnf(refute_0_25761,plain,
( and(t5,xor(carry,xor(cin,or(carry,cin)))) != and(carry_def,not(t7))
| not(or(t4,xor(t6,and(carry_def,cin)))) != and(t5,xor(carry,xor(cin,or(carry,cin))))
| not(or(t4,xor(t6,and(carry_def,cin)))) = and(carry_def,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t4,xor(t6,and(carry_def,cin)))),and(t5,xor(carry,xor(cin,or(carry,cin))))) ),[1],$fot(and(carry_def,not(t7)))]]) ).
cnf(refute_0_25762,plain,
( not(or(t4,xor(t6,and(carry_def,cin)))) != and(t5,xor(carry,xor(cin,or(carry,cin))))
| not(or(t4,xor(t6,and(carry_def,cin)))) = and(carry_def,not(t7)) ),
inference(resolve,[$cnf( $equal(and(t5,xor(carry,xor(cin,or(carry,cin)))),and(carry_def,not(t7))) )],[refute_0_25760,refute_0_25761]) ).
cnf(refute_0_25763,plain,
( not(or(t4,xor(sum,xor(t1,or(carry,cin))))) != and(t5,xor(carry,xor(cin,or(carry,cin))))
| not(or(t4,xor(t6,and(carry_def,cin)))) = and(carry_def,not(t7)) ),
inference(resolve,[$cnf( $equal(not(or(t4,xor(t6,and(carry_def,cin)))),and(t5,xor(carry,xor(cin,or(carry,cin))))) )],[refute_0_25749,refute_0_25762]) ).
cnf(refute_0_25764,plain,
not(or(t4,xor(t6,and(carry_def,cin)))) = and(carry_def,not(t7)),
inference(resolve,[$cnf( $equal(not(or(t4,xor(sum,xor(t1,or(carry,cin))))),and(t5,xor(carry,xor(cin,or(carry,cin))))) )],[refute_0_25656,refute_0_25763]) ).
cnf(refute_0_25765,plain,
not(and(xor(sum,and(cin,t1)),not(t4))) = not(and(not(t4),xor(sum,and(cin,t1)))),
inference(subst,[],[refute_0_151:[bind(X_31,$fot(not(t4))),bind(X_32,$fot(xor(sum,and(cin,t1))))]]) ).
cnf(refute_0_25766,plain,
and(not(t4),xor(sum,and(cin,t1))) = and(t5,and(t6,xor(sum,and(cin,t1)))),
inference(subst,[],[refute_0_5450:[bind(Z,$fot(xor(sum,and(cin,t1))))]]) ).
cnf(refute_0_25767,plain,
not(not(xor(sum,and(cin,t1)))) = xor(sum,and(cin,t1)),
inference(subst,[],[not_involution:[bind(X,$fot(xor(sum,and(cin,t1))))]]) ).
cnf(refute_0_25768,plain,
not(xor(sum,xor(t1,or(carry,cin)))) = not(xor(sum,xor(t1,or(carry,cin)))),
introduced(tautology,[refl,[$fot(not(xor(sum,xor(t1,or(carry,cin)))))]]) ).
cnf(refute_0_25769,plain,
( not(xor(sum,xor(t1,or(carry,cin)))) != not(xor(sum,xor(t1,or(carry,cin))))
| xor(sum,xor(t1,or(carry,cin))) != not(xor(sum,and(cin,t1)))
| not(xor(sum,xor(t1,or(carry,cin)))) = not(not(xor(sum,and(cin,t1)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(sum,xor(t1,or(carry,cin)))),not(xor(sum,xor(t1,or(carry,cin))))) ),[1,0],$fot(not(xor(sum,and(cin,t1))))]]) ).
cnf(refute_0_25770,plain,
( xor(sum,xor(t1,or(carry,cin))) != not(xor(sum,and(cin,t1)))
| not(xor(sum,xor(t1,or(carry,cin)))) = not(not(xor(sum,and(cin,t1)))) ),
inference(resolve,[$cnf( $equal(not(xor(sum,xor(t1,or(carry,cin)))),not(xor(sum,xor(t1,or(carry,cin))))) )],[refute_0_25768,refute_0_25769]) ).
cnf(refute_0_25771,plain,
not(xor(sum,xor(t1,or(carry,cin)))) = not(not(xor(sum,and(cin,t1)))),
inference(resolve,[$cnf( $equal(xor(sum,xor(t1,or(carry,cin))),not(xor(sum,and(cin,t1)))) )],[refute_0_25727,refute_0_25770]) ).
cnf(refute_0_25772,plain,
( not(not(xor(sum,and(cin,t1)))) != xor(sum,and(cin,t1))
| not(xor(sum,xor(t1,or(carry,cin)))) != not(not(xor(sum,and(cin,t1))))
| not(xor(sum,xor(t1,or(carry,cin)))) = xor(sum,and(cin,t1)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(sum,xor(t1,or(carry,cin)))))),bind(Y0,$fot(not(not(xor(sum,and(cin,t1)))))),bind(Z0,$fot(xor(sum,and(cin,t1))))]]) ).
cnf(refute_0_25773,plain,
( not(not(xor(sum,and(cin,t1)))) != xor(sum,and(cin,t1))
| not(xor(sum,xor(t1,or(carry,cin)))) = xor(sum,and(cin,t1)) ),
inference(resolve,[$cnf( $equal(not(xor(sum,xor(t1,or(carry,cin)))),not(not(xor(sum,and(cin,t1))))) )],[refute_0_25771,refute_0_25772]) ).
cnf(refute_0_25774,plain,
not(xor(sum,xor(t1,or(carry,cin)))) = xor(sum,and(cin,t1)),
inference(resolve,[$cnf( $equal(not(not(xor(sum,and(cin,t1)))),xor(sum,and(cin,t1))) )],[refute_0_25767,refute_0_25773]) ).
cnf(refute_0_25775,plain,
and(t6,not(xor(sum,xor(t1,or(carry,cin))))) = and(t6,not(xor(sum,xor(t1,or(carry,cin))))),
introduced(tautology,[refl,[$fot(and(t6,not(xor(sum,xor(t1,or(carry,cin))))))]]) ).
cnf(refute_0_25776,plain,
( and(t6,not(xor(sum,xor(t1,or(carry,cin))))) != and(t6,not(xor(sum,xor(t1,or(carry,cin)))))
| not(xor(sum,xor(t1,or(carry,cin)))) != xor(sum,and(cin,t1))
| and(t6,not(xor(sum,xor(t1,or(carry,cin))))) = and(t6,xor(sum,and(cin,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(xor(sum,xor(t1,or(carry,cin))))),and(t6,not(xor(sum,xor(t1,or(carry,cin)))))) ),[1,1],$fot(xor(sum,and(cin,t1)))]]) ).
cnf(refute_0_25777,plain,
( not(xor(sum,xor(t1,or(carry,cin)))) != xor(sum,and(cin,t1))
| and(t6,not(xor(sum,xor(t1,or(carry,cin))))) = and(t6,xor(sum,and(cin,t1))) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(sum,xor(t1,or(carry,cin))))),and(t6,not(xor(sum,xor(t1,or(carry,cin)))))) )],[refute_0_25775,refute_0_25776]) ).
cnf(refute_0_25778,plain,
and(t6,not(xor(sum,xor(t1,or(carry,cin))))) = and(t6,xor(sum,and(cin,t1))),
inference(resolve,[$cnf( $equal(not(xor(sum,xor(t1,or(carry,cin)))),xor(sum,and(cin,t1))) )],[refute_0_25774,refute_0_25777]) ).
cnf(refute_0_25779,plain,
( and(t6,not(xor(sum,xor(t1,or(carry,cin))))) != and(t6,xor(sum,and(cin,t1)))
| and(t6,not(xor(sum,xor(t1,or(carry,cin))))) != xor(carry,xor(cin,or(carry,cin)))
| and(t6,xor(sum,and(cin,t1))) = xor(carry,xor(cin,or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t6,not(xor(sum,xor(t1,or(carry,cin))))),xor(carry,xor(cin,or(carry,cin)))) ),[0],$fot(and(t6,xor(sum,and(cin,t1))))]]) ).
cnf(refute_0_25780,plain,
( and(t6,not(xor(sum,xor(t1,or(carry,cin))))) != xor(carry,xor(cin,or(carry,cin)))
| and(t6,xor(sum,and(cin,t1))) = xor(carry,xor(cin,or(carry,cin))) ),
inference(resolve,[$cnf( $equal(and(t6,not(xor(sum,xor(t1,or(carry,cin))))),and(t6,xor(sum,and(cin,t1)))) )],[refute_0_25778,refute_0_25779]) ).
cnf(refute_0_25781,plain,
( and(t6,xor(sum,and(cin,t1))) != xor(carry,xor(cin,or(carry,cin)))
| xor(carry,xor(cin,or(carry,cin))) != and(carry_def,cin)
| and(t6,xor(sum,and(cin,t1))) = and(carry_def,cin) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t6,xor(sum,and(cin,t1))),and(carry_def,cin)) ),[0],$fot(xor(carry,xor(cin,or(carry,cin))))]]) ).
cnf(refute_0_25782,plain,
( and(t6,xor(sum,and(cin,t1))) != xor(carry,xor(cin,or(carry,cin)))
| and(t6,xor(sum,and(cin,t1))) = and(carry_def,cin) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(cin,or(carry,cin))),and(carry_def,cin)) )],[refute_0_25706,refute_0_25781]) ).
cnf(refute_0_25783,plain,
( and(t6,not(xor(sum,xor(t1,or(carry,cin))))) != xor(carry,xor(cin,or(carry,cin)))
| and(t6,xor(sum,and(cin,t1))) = and(carry_def,cin) ),
inference(resolve,[$cnf( $equal(and(t6,xor(sum,and(cin,t1))),xor(carry,xor(cin,or(carry,cin)))) )],[refute_0_25780,refute_0_25782]) ).
cnf(refute_0_25784,plain,
and(t6,xor(sum,and(cin,t1))) = and(carry_def,cin),
inference(resolve,[$cnf( $equal(and(t6,not(xor(sum,xor(t1,or(carry,cin))))),xor(carry,xor(cin,or(carry,cin)))) )],[refute_0_25649,refute_0_25783]) ).
cnf(refute_0_25785,plain,
( and(not(t4),xor(sum,and(cin,t1))) != and(t5,and(t6,xor(sum,and(cin,t1))))
| and(t6,xor(sum,and(cin,t1))) != and(carry_def,cin)
| and(not(t4),xor(sum,and(cin,t1))) = and(t5,and(carry_def,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),xor(sum,and(cin,t1))),and(t5,and(t6,xor(sum,and(cin,t1))))) ),[1,1],$fot(and(carry_def,cin))]]) ).
cnf(refute_0_25786,plain,
( and(not(t4),xor(sum,and(cin,t1))) != and(t5,and(t6,xor(sum,and(cin,t1))))
| and(not(t4),xor(sum,and(cin,t1))) = and(t5,and(carry_def,cin)) ),
inference(resolve,[$cnf( $equal(and(t6,xor(sum,and(cin,t1))),and(carry_def,cin)) )],[refute_0_25784,refute_0_25785]) ).
cnf(refute_0_25787,plain,
and(not(t4),xor(sum,and(cin,t1))) = and(t5,and(carry_def,cin)),
inference(resolve,[$cnf( $equal(and(not(t4),xor(sum,and(cin,t1))),and(t5,and(t6,xor(sum,and(cin,t1))))) )],[refute_0_25766,refute_0_25786]) ).
cnf(refute_0_25788,plain,
( and(not(t4),xor(sum,and(cin,t1))) != and(t5,and(carry_def,cin))
| and(t5,and(carry_def,cin)) != and(carry_def,not(t7))
| and(not(t4),xor(sum,and(cin,t1))) = and(carry_def,not(t7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(not(t4),xor(sum,and(cin,t1))),and(carry_def,not(t7))) ),[0],$fot(and(t5,and(carry_def,cin)))]]) ).
cnf(refute_0_25789,plain,
( and(not(t4),xor(sum,and(cin,t1))) != and(t5,and(carry_def,cin))
| and(not(t4),xor(sum,and(cin,t1))) = and(carry_def,not(t7)) ),
inference(resolve,[$cnf( $equal(and(t5,and(carry_def,cin)),and(carry_def,not(t7))) )],[refute_0_25753,refute_0_25788]) ).
cnf(refute_0_25790,plain,
and(not(t4),xor(sum,and(cin,t1))) = and(carry_def,not(t7)),
inference(resolve,[$cnf( $equal(and(not(t4),xor(sum,and(cin,t1))),and(t5,and(carry_def,cin))) )],[refute_0_25787,refute_0_25789]) ).
cnf(refute_0_25791,plain,
( and(not(t4),xor(sum,and(cin,t1))) != and(carry_def,not(t7))
| not(and(xor(sum,and(cin,t1)),not(t4))) != not(and(not(t4),xor(sum,and(cin,t1))))
| not(and(xor(sum,and(cin,t1)),not(t4))) = not(and(carry_def,not(t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(xor(sum,and(cin,t1)),not(t4))),not(and(not(t4),xor(sum,and(cin,t1))))) ),[1,0],$fot(and(carry_def,not(t7)))]]) ).
cnf(refute_0_25792,plain,
( not(and(xor(sum,and(cin,t1)),not(t4))) != not(and(not(t4),xor(sum,and(cin,t1))))
| not(and(xor(sum,and(cin,t1)),not(t4))) = not(and(carry_def,not(t7))) ),
inference(resolve,[$cnf( $equal(and(not(t4),xor(sum,and(cin,t1))),and(carry_def,not(t7))) )],[refute_0_25790,refute_0_25791]) ).
cnf(refute_0_25793,plain,
not(and(xor(sum,and(cin,t1)),not(t4))) = not(and(carry_def,not(t7))),
inference(resolve,[$cnf( $equal(not(and(xor(sum,and(cin,t1)),not(t4))),not(and(not(t4),xor(sum,and(cin,t1))))) )],[refute_0_25765,refute_0_25792]) ).
cnf(refute_0_25794,plain,
or(t4,not(xor(sum,and(cin,t1)))) = or(t4,not(xor(sum,and(cin,t1)))),
introduced(tautology,[refl,[$fot(or(t4,not(xor(sum,and(cin,t1)))))]]) ).
cnf(refute_0_25795,plain,
( not(xor(sum,and(cin,t1))) != xor(t6,and(carry_def,cin))
| or(t4,not(xor(sum,and(cin,t1)))) != or(t4,not(xor(sum,and(cin,t1))))
| or(t4,not(xor(sum,and(cin,t1)))) = or(t4,xor(t6,and(carry_def,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,not(xor(sum,and(cin,t1)))),or(t4,not(xor(sum,and(cin,t1))))) ),[1,1],$fot(xor(t6,and(carry_def,cin)))]]) ).
cnf(refute_0_25796,plain,
( not(xor(sum,and(cin,t1))) != xor(t6,and(carry_def,cin))
| or(t4,not(xor(sum,and(cin,t1)))) = or(t4,xor(t6,and(carry_def,cin))) ),
inference(resolve,[$cnf( $equal(or(t4,not(xor(sum,and(cin,t1)))),or(t4,not(xor(sum,and(cin,t1))))) )],[refute_0_25794,refute_0_25795]) ).
cnf(refute_0_25797,plain,
or(t4,not(xor(sum,and(cin,t1)))) = or(t4,xor(t6,and(carry_def,cin))),
inference(resolve,[$cnf( $equal(not(xor(sum,and(cin,t1))),xor(t6,and(carry_def,cin))) )],[refute_0_25733,refute_0_25796]) ).
cnf(refute_0_25798,plain,
not(and(not(t4),xor(sum,and(cin,t1)))) = or(t4,not(xor(sum,and(cin,t1)))),
inference(subst,[],[refute_0_787:[bind(X,$fot(t4)),bind(X_32,$fot(xor(sum,and(cin,t1))))]]) ).
cnf(refute_0_25799,plain,
( not(and(not(t4),xor(sum,and(cin,t1)))) != or(t4,not(xor(sum,and(cin,t1))))
| not(and(xor(sum,and(cin,t1)),not(t4))) != not(and(not(t4),xor(sum,and(cin,t1))))
| not(and(xor(sum,and(cin,t1)),not(t4))) = or(t4,not(xor(sum,and(cin,t1)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(xor(sum,and(cin,t1)),not(t4))))),bind(Y0,$fot(not(and(not(t4),xor(sum,and(cin,t1)))))),bind(Z0,$fot(or(t4,not(xor(sum,and(cin,t1))))))]]) ).
cnf(refute_0_25800,plain,
( not(and(not(t4),xor(sum,and(cin,t1)))) != or(t4,not(xor(sum,and(cin,t1))))
| not(and(xor(sum,and(cin,t1)),not(t4))) = or(t4,not(xor(sum,and(cin,t1)))) ),
inference(resolve,[$cnf( $equal(not(and(xor(sum,and(cin,t1)),not(t4))),not(and(not(t4),xor(sum,and(cin,t1))))) )],[refute_0_25765,refute_0_25799]) ).
cnf(refute_0_25801,plain,
not(and(xor(sum,and(cin,t1)),not(t4))) = or(t4,not(xor(sum,and(cin,t1)))),
inference(resolve,[$cnf( $equal(not(and(not(t4),xor(sum,and(cin,t1)))),or(t4,not(xor(sum,and(cin,t1))))) )],[refute_0_25798,refute_0_25800]) ).
cnf(refute_0_25802,plain,
( not(and(xor(sum,and(cin,t1)),not(t4))) != or(t4,not(xor(sum,and(cin,t1))))
| or(t4,not(xor(sum,and(cin,t1)))) != or(t4,xor(t6,and(carry_def,cin)))
| not(and(xor(sum,and(cin,t1)),not(t4))) = or(t4,xor(t6,and(carry_def,cin))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(and(xor(sum,and(cin,t1)),not(t4))))),bind(Y0,$fot(or(t4,not(xor(sum,and(cin,t1)))))),bind(Z0,$fot(or(t4,xor(t6,and(carry_def,cin)))))]]) ).
cnf(refute_0_25803,plain,
( or(t4,not(xor(sum,and(cin,t1)))) != or(t4,xor(t6,and(carry_def,cin)))
| not(and(xor(sum,and(cin,t1)),not(t4))) = or(t4,xor(t6,and(carry_def,cin))) ),
inference(resolve,[$cnf( $equal(not(and(xor(sum,and(cin,t1)),not(t4))),or(t4,not(xor(sum,and(cin,t1))))) )],[refute_0_25801,refute_0_25802]) ).
cnf(refute_0_25804,plain,
not(and(xor(sum,and(cin,t1)),not(t4))) = or(t4,xor(t6,and(carry_def,cin))),
inference(resolve,[$cnf( $equal(or(t4,not(xor(sum,and(cin,t1)))),or(t4,xor(t6,and(carry_def,cin)))) )],[refute_0_25797,refute_0_25803]) ).
cnf(refute_0_25805,plain,
( not(and(xor(sum,and(cin,t1)),not(t4))) != not(and(carry_def,not(t7)))
| not(and(xor(sum,and(cin,t1)),not(t4))) != or(t4,xor(t6,and(carry_def,cin)))
| or(t4,xor(t6,and(carry_def,cin))) = not(and(carry_def,not(t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(xor(sum,and(cin,t1)),not(t4))),not(and(carry_def,not(t7)))) ),[0],$fot(or(t4,xor(t6,and(carry_def,cin))))]]) ).
cnf(refute_0_25806,plain,
( not(and(xor(sum,and(cin,t1)),not(t4))) != not(and(carry_def,not(t7)))
| or(t4,xor(t6,and(carry_def,cin))) = not(and(carry_def,not(t7))) ),
inference(resolve,[$cnf( $equal(not(and(xor(sum,and(cin,t1)),not(t4))),or(t4,xor(t6,and(carry_def,cin)))) )],[refute_0_25804,refute_0_25805]) ).
cnf(refute_0_25807,plain,
( not(and(carry_def,not(t7))) != or(t1,t7)
| or(t4,xor(t6,and(carry_def,cin))) != not(and(carry_def,not(t7)))
| or(t4,xor(t6,and(carry_def,cin))) = or(t1,t7) ),
introduced(tautology,[equality,[$cnf( $equal(or(t4,xor(t6,and(carry_def,cin))),not(and(carry_def,not(t7)))) ),[1],$fot(or(t1,t7))]]) ).
cnf(refute_0_25808,plain,
( or(t4,xor(t6,and(carry_def,cin))) != not(and(carry_def,not(t7)))
| or(t4,xor(t6,and(carry_def,cin))) = or(t1,t7) ),
inference(resolve,[$cnf( $equal(not(and(carry_def,not(t7))),or(t1,t7)) )],[refute_0_15232,refute_0_25807]) ).
cnf(refute_0_25809,plain,
( not(and(xor(sum,and(cin,t1)),not(t4))) != not(and(carry_def,not(t7)))
| or(t4,xor(t6,and(carry_def,cin))) = or(t1,t7) ),
inference(resolve,[$cnf( $equal(or(t4,xor(t6,and(carry_def,cin))),not(and(carry_def,not(t7)))) )],[refute_0_25806,refute_0_25808]) ).
cnf(refute_0_25810,plain,
or(t4,xor(t6,and(carry_def,cin))) = or(t1,t7),
inference(resolve,[$cnf( $equal(not(and(xor(sum,and(cin,t1)),not(t4))),not(and(carry_def,not(t7)))) )],[refute_0_25793,refute_0_25809]) ).
cnf(refute_0_25811,plain,
not(or(t4,xor(t6,and(carry_def,cin)))) = not(or(t4,xor(t6,and(carry_def,cin)))),
introduced(tautology,[refl,[$fot(not(or(t4,xor(t6,and(carry_def,cin)))))]]) ).
cnf(refute_0_25812,plain,
( not(or(t4,xor(t6,and(carry_def,cin)))) != not(or(t4,xor(t6,and(carry_def,cin))))
| or(t4,xor(t6,and(carry_def,cin))) != or(t1,t7)
| not(or(t4,xor(t6,and(carry_def,cin)))) = not(or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t4,xor(t6,and(carry_def,cin)))),not(or(t4,xor(t6,and(carry_def,cin))))) ),[1,0],$fot(or(t1,t7))]]) ).
cnf(refute_0_25813,plain,
( or(t4,xor(t6,and(carry_def,cin))) != or(t1,t7)
| not(or(t4,xor(t6,and(carry_def,cin)))) = not(or(t1,t7)) ),
inference(resolve,[$cnf( $equal(not(or(t4,xor(t6,and(carry_def,cin)))),not(or(t4,xor(t6,and(carry_def,cin))))) )],[refute_0_25811,refute_0_25812]) ).
cnf(refute_0_25814,plain,
not(or(t4,xor(t6,and(carry_def,cin)))) = not(or(t1,t7)),
inference(resolve,[$cnf( $equal(or(t4,xor(t6,and(carry_def,cin))),or(t1,t7)) )],[refute_0_25810,refute_0_25813]) ).
cnf(refute_0_25815,plain,
( not(or(t4,xor(t6,and(carry_def,cin)))) != and(carry_def,not(t7))
| not(or(t4,xor(t6,and(carry_def,cin)))) != not(or(t1,t7))
| not(or(t1,t7)) = and(carry_def,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t4,xor(t6,and(carry_def,cin)))),and(carry_def,not(t7))) ),[0],$fot(not(or(t1,t7)))]]) ).
cnf(refute_0_25816,plain,
( not(or(t4,xor(t6,and(carry_def,cin)))) != and(carry_def,not(t7))
| not(or(t1,t7)) = and(carry_def,not(t7)) ),
inference(resolve,[$cnf( $equal(not(or(t4,xor(t6,and(carry_def,cin)))),not(or(t1,t7))) )],[refute_0_25814,refute_0_25815]) ).
cnf(refute_0_25817,plain,
not(or(t1,t7)) = and(carry_def,not(t7)),
inference(resolve,[$cnf( $equal(not(or(t4,xor(t6,and(carry_def,cin)))),and(carry_def,not(t7))) )],[refute_0_25764,refute_0_25816]) ).
cnf(refute_0_25818,plain,
( not(or(t1,t7)) != and(carry_def,not(t7))
| and(carry_def,not(t7)) = not(or(t1,t7)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(t1,t7)))),bind(Y0,$fot(and(carry_def,not(t7))))]]) ).
cnf(refute_0_25819,plain,
and(carry_def,not(t7)) = not(or(t1,t7)),
inference(resolve,[$cnf( $equal(not(or(t1,t7)),and(carry_def,not(t7))) )],[refute_0_25817,refute_0_25818]) ).
cnf(refute_0_25820,plain,
and(b,and(carry_def,not(t7))) = and(b,and(carry_def,not(t7))),
introduced(tautology,[refl,[$fot(and(b,and(carry_def,not(t7))))]]) ).
cnf(refute_0_25821,plain,
( and(b,and(carry_def,not(t7))) != and(b,and(carry_def,not(t7)))
| and(carry_def,not(t7)) != not(or(t1,t7))
| and(b,and(carry_def,not(t7))) = and(b,not(or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(b,and(carry_def,not(t7))),and(b,and(carry_def,not(t7)))) ),[1,1],$fot(not(or(t1,t7)))]]) ).
cnf(refute_0_25822,plain,
( and(carry_def,not(t7)) != not(or(t1,t7))
| and(b,and(carry_def,not(t7))) = and(b,not(or(t1,t7))) ),
inference(resolve,[$cnf( $equal(and(b,and(carry_def,not(t7))),and(b,and(carry_def,not(t7)))) )],[refute_0_25820,refute_0_25821]) ).
cnf(refute_0_25823,plain,
and(b,and(carry_def,not(t7))) = and(b,not(or(t1,t7))),
inference(resolve,[$cnf( $equal(and(carry_def,not(t7)),not(or(t1,t7))) )],[refute_0_25819,refute_0_25822]) ).
cnf(refute_0_25824,plain,
( and(b,and(carry_def,not(t7))) != and(b,not(or(t1,t7)))
| and(b,not(or(t1,t7))) != not(or(t1,t7))
| and(b,and(carry_def,not(t7))) = not(or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(b,and(carry_def,not(t7))))),bind(Y0,$fot(and(b,not(or(t1,t7))))),bind(Z0,$fot(not(or(t1,t7))))]]) ).
cnf(refute_0_25825,plain,
( and(b,not(or(t1,t7))) != not(or(t1,t7))
| and(b,and(carry_def,not(t7))) = not(or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(b,and(carry_def,not(t7))),and(b,not(or(t1,t7)))) )],[refute_0_25823,refute_0_25824]) ).
cnf(refute_0_25826,plain,
and(b,and(carry_def,not(t7))) = not(or(t1,t7)),
inference(resolve,[$cnf( $equal(and(b,not(or(t1,t7))),not(or(t1,t7))) )],[refute_0_25429,refute_0_25825]) ).
cnf(refute_0_25827,plain,
and(b,and(not(t7),carry_def)) = and(b,and(carry_def,not(t7))),
inference(subst,[],[refute_0_2637:[bind(X_220,$fot(b)),bind(X_221,$fot(carry_def)),bind(X_222,$fot(not(t7)))]]) ).
cnf(refute_0_25828,plain,
( and(b,and(carry_def,not(t7))) != not(or(t1,t7))
| and(b,and(not(t7),carry_def)) != and(b,and(carry_def,not(t7)))
| and(b,and(not(t7),carry_def)) = not(or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(b,and(not(t7),carry_def)))),bind(Y0,$fot(and(b,and(carry_def,not(t7))))),bind(Z0,$fot(not(or(t1,t7))))]]) ).
cnf(refute_0_25829,plain,
( and(b,and(carry_def,not(t7))) != not(or(t1,t7))
| and(b,and(not(t7),carry_def)) = not(or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(b,and(not(t7),carry_def)),and(b,and(carry_def,not(t7)))) )],[refute_0_25827,refute_0_25828]) ).
cnf(refute_0_25830,plain,
and(b,and(not(t7),carry_def)) = not(or(t1,t7)),
inference(resolve,[$cnf( $equal(and(b,and(carry_def,not(t7))),not(or(t1,t7))) )],[refute_0_25826,refute_0_25829]) ).
cnf(refute_0_25831,plain,
not(or(not(X),or(t7,xor(carry_def,t5)))) = and(X,not(or(t7,xor(carry_def,t5)))),
inference(subst,[],[refute_0_159:[bind(X_26,$fot(or(t7,xor(carry_def,t5))))]]) ).
cnf(refute_0_25832,plain,
and(not(t4),xor(sum,and(cin,t1))) = and(t5,and(not(t4),xor(sum,and(cin,t1)))),
inference(subst,[],[refute_0_10323:[bind(X_222,$fot(xor(sum,and(cin,t1))))]]) ).
cnf(refute_0_25833,plain,
( and(not(t4),xor(sum,and(cin,t1))) != and(carry_def,not(t7))
| and(not(t4),xor(sum,and(cin,t1))) != and(t5,and(not(t4),xor(sum,and(cin,t1))))
| and(not(t4),xor(sum,and(cin,t1))) = and(t5,and(carry_def,not(t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),xor(sum,and(cin,t1))),and(t5,and(not(t4),xor(sum,and(cin,t1))))) ),[1,1],$fot(and(carry_def,not(t7)))]]) ).
cnf(refute_0_25834,plain,
( and(not(t4),xor(sum,and(cin,t1))) != and(t5,and(not(t4),xor(sum,and(cin,t1))))
| and(not(t4),xor(sum,and(cin,t1))) = and(t5,and(carry_def,not(t7))) ),
inference(resolve,[$cnf( $equal(and(not(t4),xor(sum,and(cin,t1))),and(carry_def,not(t7))) )],[refute_0_25790,refute_0_25833]) ).
cnf(refute_0_25835,plain,
and(not(t4),xor(sum,and(cin,t1))) = and(t5,and(carry_def,not(t7))),
inference(resolve,[$cnf( $equal(and(not(t4),xor(sum,and(cin,t1))),and(t5,and(not(t4),xor(sum,and(cin,t1))))) )],[refute_0_25832,refute_0_25834]) ).
cnf(refute_0_25836,plain,
( and(not(t4),xor(sum,and(cin,t1))) != and(carry_def,not(t7))
| and(not(t4),xor(sum,and(cin,t1))) != and(t5,and(carry_def,not(t7)))
| and(carry_def,not(t7)) = and(t5,and(carry_def,not(t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t4),xor(sum,and(cin,t1))),and(t5,and(carry_def,not(t7)))) ),[0],$fot(and(carry_def,not(t7)))]]) ).
cnf(refute_0_25837,plain,
( and(not(t4),xor(sum,and(cin,t1))) != and(t5,and(carry_def,not(t7)))
| and(carry_def,not(t7)) = and(t5,and(carry_def,not(t7))) ),
inference(resolve,[$cnf( $equal(and(not(t4),xor(sum,and(cin,t1))),and(carry_def,not(t7))) )],[refute_0_25790,refute_0_25836]) ).
cnf(refute_0_25838,plain,
not(or(X_25,not(and(carry_def,t5)))) = and(not(X_25),and(carry_def,t5)),
inference(subst,[],[refute_0_801:[bind(X,$fot(and(carry_def,t5)))]]) ).
cnf(refute_0_25839,plain,
( not(and(carry_def,t5)) != xor(carry_def,t5)
| not(or(X_25,not(and(carry_def,t5)))) != and(not(X_25),and(carry_def,t5))
| not(or(X_25,xor(carry_def,t5))) = and(not(X_25),and(carry_def,t5)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X_25,not(and(carry_def,t5)))),and(not(X_25),and(carry_def,t5))) ),[0,0,1],$fot(xor(carry_def,t5))]]) ).
cnf(refute_0_25840,plain,
( not(or(X_25,not(and(carry_def,t5)))) != and(not(X_25),and(carry_def,t5))
| not(or(X_25,xor(carry_def,t5))) = and(not(X_25),and(carry_def,t5)) ),
inference(resolve,[$cnf( $equal(not(and(carry_def,t5)),xor(carry_def,t5)) )],[refute_0_15066,refute_0_25839]) ).
cnf(refute_0_25841,plain,
not(or(X_25,xor(carry_def,t5))) = and(not(X_25),and(carry_def,t5)),
inference(resolve,[$cnf( $equal(not(or(X_25,not(and(carry_def,t5)))),and(not(X_25),and(carry_def,t5))) )],[refute_0_25838,refute_0_25840]) ).
cnf(refute_0_25842,plain,
and(carry_def,and(not(X_25),t5)) = and(carry_def,and(t5,not(X_25))),
inference(subst,[],[refute_0_2637:[bind(X_220,$fot(carry_def)),bind(X_221,$fot(t5)),bind(X_222,$fot(not(X_25)))]]) ).
cnf(refute_0_25843,plain,
and(not(X_25),and(carry_def,t5)) = and(carry_def,and(not(X_25),t5)),
inference(subst,[],[refute_0_4220:[bind(X,$fot(carry_def)),bind(Z,$fot(t5)),bind(X_669,$fot(not(X_25)))]]) ).
cnf(refute_0_25844,plain,
( and(carry_def,and(not(X_25),t5)) != and(carry_def,and(t5,not(X_25)))
| and(not(X_25),and(carry_def,t5)) != and(carry_def,and(not(X_25),t5))
| and(not(X_25),and(carry_def,t5)) = and(carry_def,and(t5,not(X_25))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(X_25),and(carry_def,t5)))),bind(Y0,$fot(and(carry_def,and(not(X_25),t5)))),bind(Z0,$fot(and(carry_def,and(t5,not(X_25)))))]]) ).
cnf(refute_0_25845,plain,
( and(carry_def,and(not(X_25),t5)) != and(carry_def,and(t5,not(X_25)))
| and(not(X_25),and(carry_def,t5)) = and(carry_def,and(t5,not(X_25))) ),
inference(resolve,[$cnf( $equal(and(not(X_25),and(carry_def,t5)),and(carry_def,and(not(X_25),t5))) )],[refute_0_25843,refute_0_25844]) ).
cnf(refute_0_25846,plain,
and(not(X_25),and(carry_def,t5)) = and(carry_def,and(t5,not(X_25))),
inference(resolve,[$cnf( $equal(and(carry_def,and(not(X_25),t5)),and(carry_def,and(t5,not(X_25)))) )],[refute_0_25842,refute_0_25845]) ).
cnf(refute_0_25847,plain,
( and(not(X_25),and(carry_def,t5)) != and(carry_def,and(t5,not(X_25)))
| not(or(X_25,xor(carry_def,t5))) != and(not(X_25),and(carry_def,t5))
| not(or(X_25,xor(carry_def,t5))) = and(carry_def,and(t5,not(X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(X_25,xor(carry_def,t5))),and(not(X_25),and(carry_def,t5))) ),[1],$fot(and(carry_def,and(t5,not(X_25))))]]) ).
cnf(refute_0_25848,plain,
( not(or(X_25,xor(carry_def,t5))) != and(not(X_25),and(carry_def,t5))
| not(or(X_25,xor(carry_def,t5))) = and(carry_def,and(t5,not(X_25))) ),
inference(resolve,[$cnf( $equal(and(not(X_25),and(carry_def,t5)),and(carry_def,and(t5,not(X_25)))) )],[refute_0_25846,refute_0_25847]) ).
cnf(refute_0_25849,plain,
not(or(X_25,xor(carry_def,t5))) = and(carry_def,and(t5,not(X_25))),
inference(resolve,[$cnf( $equal(not(or(X_25,xor(carry_def,t5))),and(not(X_25),and(carry_def,t5))) )],[refute_0_25841,refute_0_25848]) ).
cnf(refute_0_25850,plain,
( not(or(X_25,xor(carry_def,t5))) != and(carry_def,and(t5,not(X_25)))
| and(carry_def,and(t5,not(X_25))) = not(or(X_25,xor(carry_def,t5))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(X_25,xor(carry_def,t5))))),bind(Y0,$fot(and(carry_def,and(t5,not(X_25)))))]]) ).
cnf(refute_0_25851,plain,
and(carry_def,and(t5,not(X_25))) = not(or(X_25,xor(carry_def,t5))),
inference(resolve,[$cnf( $equal(not(or(X_25,xor(carry_def,t5))),and(carry_def,and(t5,not(X_25)))) )],[refute_0_25849,refute_0_25850]) ).
cnf(refute_0_25852,plain,
and(carry_def,and(t5,not(t7))) = not(or(t7,xor(carry_def,t5))),
inference(subst,[],[refute_0_25851:[bind(X_25,$fot(t7))]]) ).
cnf(refute_0_25853,plain,
and(t5,and(carry_def,not(t7))) = and(carry_def,and(t5,not(t7))),
inference(subst,[],[refute_0_4220:[bind(X,$fot(carry_def)),bind(Z,$fot(not(t7))),bind(X_669,$fot(t5))]]) ).
cnf(refute_0_25854,plain,
( and(carry_def,and(t5,not(t7))) != not(or(t7,xor(carry_def,t5)))
| and(t5,and(carry_def,not(t7))) != and(carry_def,and(t5,not(t7)))
| and(t5,and(carry_def,not(t7))) = not(or(t7,xor(carry_def,t5))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t5,and(carry_def,not(t7))))),bind(Y0,$fot(and(carry_def,and(t5,not(t7))))),bind(Z0,$fot(not(or(t7,xor(carry_def,t5)))))]]) ).
cnf(refute_0_25855,plain,
( and(carry_def,and(t5,not(t7))) != not(or(t7,xor(carry_def,t5)))
| and(t5,and(carry_def,not(t7))) = not(or(t7,xor(carry_def,t5))) ),
inference(resolve,[$cnf( $equal(and(t5,and(carry_def,not(t7))),and(carry_def,and(t5,not(t7)))) )],[refute_0_25853,refute_0_25854]) ).
cnf(refute_0_25856,plain,
and(t5,and(carry_def,not(t7))) = not(or(t7,xor(carry_def,t5))),
inference(resolve,[$cnf( $equal(and(carry_def,and(t5,not(t7))),not(or(t7,xor(carry_def,t5)))) )],[refute_0_25852,refute_0_25855]) ).
cnf(refute_0_25857,plain,
( and(carry_def,not(t7)) != and(t5,and(carry_def,not(t7)))
| and(t5,and(carry_def,not(t7))) != not(or(t7,xor(carry_def,t5)))
| and(carry_def,not(t7)) = not(or(t7,xor(carry_def,t5))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(carry_def,not(t7)),not(or(t7,xor(carry_def,t5)))) ),[0],$fot(and(t5,and(carry_def,not(t7))))]]) ).
cnf(refute_0_25858,plain,
( and(carry_def,not(t7)) != and(t5,and(carry_def,not(t7)))
| and(carry_def,not(t7)) = not(or(t7,xor(carry_def,t5))) ),
inference(resolve,[$cnf( $equal(and(t5,and(carry_def,not(t7))),not(or(t7,xor(carry_def,t5)))) )],[refute_0_25856,refute_0_25857]) ).
cnf(refute_0_25859,plain,
( and(not(t4),xor(sum,and(cin,t1))) != and(t5,and(carry_def,not(t7)))
| and(carry_def,not(t7)) = not(or(t7,xor(carry_def,t5))) ),
inference(resolve,[$cnf( $equal(and(carry_def,not(t7)),and(t5,and(carry_def,not(t7)))) )],[refute_0_25837,refute_0_25858]) ).
cnf(refute_0_25860,plain,
and(carry_def,not(t7)) = not(or(t7,xor(carry_def,t5))),
inference(resolve,[$cnf( $equal(and(not(t4),xor(sum,and(cin,t1))),and(t5,and(carry_def,not(t7)))) )],[refute_0_25835,refute_0_25859]) ).
cnf(refute_0_25861,plain,
( and(carry_def,not(t7)) != not(or(t1,t7))
| and(carry_def,not(t7)) != not(or(t7,xor(carry_def,t5)))
| not(or(t1,t7)) = not(or(t7,xor(carry_def,t5))) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry_def,not(t7)),not(or(t7,xor(carry_def,t5)))) ),[0],$fot(not(or(t1,t7)))]]) ).
cnf(refute_0_25862,plain,
( and(carry_def,not(t7)) != not(or(t7,xor(carry_def,t5)))
| not(or(t1,t7)) = not(or(t7,xor(carry_def,t5))) ),
inference(resolve,[$cnf( $equal(and(carry_def,not(t7)),not(or(t1,t7))) )],[refute_0_25819,refute_0_25861]) ).
cnf(refute_0_25863,plain,
not(or(t1,t7)) = not(or(t7,xor(carry_def,t5))),
inference(resolve,[$cnf( $equal(and(carry_def,not(t7)),not(or(t7,xor(carry_def,t5)))) )],[refute_0_25860,refute_0_25862]) ).
cnf(refute_0_25864,plain,
( not(or(t1,t7)) != not(or(t7,xor(carry_def,t5)))
| not(or(t7,xor(carry_def,t5))) = not(or(t1,t7)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(t1,t7)))),bind(Y0,$fot(not(or(t7,xor(carry_def,t5)))))]]) ).
cnf(refute_0_25865,plain,
not(or(t7,xor(carry_def,t5))) = not(or(t1,t7)),
inference(resolve,[$cnf( $equal(not(or(t1,t7)),not(or(t7,xor(carry_def,t5)))) )],[refute_0_25863,refute_0_25864]) ).
cnf(refute_0_25866,plain,
( not(or(not(X),or(t7,xor(carry_def,t5)))) != and(X,not(or(t7,xor(carry_def,t5))))
| not(or(t7,xor(carry_def,t5))) != not(or(t1,t7))
| not(or(not(X),or(t7,xor(carry_def,t5)))) = and(X,not(or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(X),or(t7,xor(carry_def,t5)))),and(X,not(or(t7,xor(carry_def,t5))))) ),[1,1],$fot(not(or(t1,t7)))]]) ).
cnf(refute_0_25867,plain,
( not(or(not(X),or(t7,xor(carry_def,t5)))) != and(X,not(or(t7,xor(carry_def,t5))))
| not(or(not(X),or(t7,xor(carry_def,t5)))) = and(X,not(or(t1,t7))) ),
inference(resolve,[$cnf( $equal(not(or(t7,xor(carry_def,t5))),not(or(t1,t7))) )],[refute_0_25865,refute_0_25866]) ).
cnf(refute_0_25868,plain,
not(or(not(X),or(t7,xor(carry_def,t5)))) = and(X,not(or(t1,t7))),
inference(resolve,[$cnf( $equal(not(or(not(X),or(t7,xor(carry_def,t5)))),and(X,not(or(t7,xor(carry_def,t5))))) )],[refute_0_25831,refute_0_25867]) ).
cnf(refute_0_25869,plain,
and(and(b,not(t7)),Z) = and(b,and(not(t7),Z)),
inference(subst,[],[and_associative:[bind(X,$fot(b)),bind(Y,$fot(not(t7)))]]) ).
cnf(refute_0_25870,plain,
and(not(t1),not(t7)) = and(b,and(t3,not(t7))),
inference(subst,[],[refute_0_5432:[bind(Z,$fot(not(t7)))]]) ).
cnf(refute_0_25871,plain,
and(not(t7),or(t3,not(t7))) = not(t7),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(not(t7))),bind(X_20,$fot(t3))]]) ).
cnf(refute_0_25872,plain,
( and(not(t7),or(t3,not(t7))) != not(t7)
| or(t3,not(t7)) != t3
| and(not(t7),t3) = not(t7) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t7),or(t3,not(t7))),not(t7)) ),[0,1],$fot(t3)]]) ).
cnf(refute_0_25873,plain,
( and(not(t7),or(t3,not(t7))) != not(t7)
| and(not(t7),t3) = not(t7) ),
inference(resolve,[$cnf( $equal(or(t3,not(t7)),t3) )],[refute_0_5569,refute_0_25872]) ).
cnf(refute_0_25874,plain,
and(not(t7),t3) = not(t7),
inference(resolve,[$cnf( $equal(and(not(t7),or(t3,not(t7))),not(t7)) )],[refute_0_25871,refute_0_25873]) ).
cnf(refute_0_25875,plain,
and(not(t7),t3) = and(t3,not(t7)),
inference(subst,[],[refute_0_116:[bind(X,$fot(t3)),bind(Y,$fot(not(t7)))]]) ).
cnf(refute_0_25876,plain,
( and(not(t7),t3) != and(t3,not(t7))
| and(not(t7),t3) != not(t7)
| and(t3,not(t7)) = not(t7) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t7),t3),not(t7)) ),[0],$fot(and(t3,not(t7)))]]) ).
cnf(refute_0_25877,plain,
( and(not(t7),t3) != not(t7)
| and(t3,not(t7)) = not(t7) ),
inference(resolve,[$cnf( $equal(and(not(t7),t3),and(t3,not(t7))) )],[refute_0_25875,refute_0_25876]) ).
cnf(refute_0_25878,plain,
and(t3,not(t7)) = not(t7),
inference(resolve,[$cnf( $equal(and(not(t7),t3),not(t7)) )],[refute_0_25874,refute_0_25877]) ).
cnf(refute_0_25879,plain,
( and(not(t1),not(t7)) != and(b,and(t3,not(t7)))
| and(t3,not(t7)) != not(t7)
| and(not(t1),not(t7)) = and(b,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t1),not(t7)),and(b,and(t3,not(t7)))) ),[1,1],$fot(not(t7))]]) ).
cnf(refute_0_25880,plain,
( and(not(t1),not(t7)) != and(b,and(t3,not(t7)))
| and(not(t1),not(t7)) = and(b,not(t7)) ),
inference(resolve,[$cnf( $equal(and(t3,not(t7)),not(t7)) )],[refute_0_25878,refute_0_25879]) ).
cnf(refute_0_25881,plain,
and(not(t1),not(t7)) = and(b,not(t7)),
inference(resolve,[$cnf( $equal(and(not(t1),not(t7)),and(b,and(t3,not(t7)))) )],[refute_0_25870,refute_0_25880]) ).
cnf(refute_0_25882,plain,
( and(not(t1),not(t7)) != and(b,not(t7))
| and(not(t1),not(t7)) != not(or(t1,t7))
| not(or(t1,t7)) = and(b,not(t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t1),not(t7)),and(b,not(t7))) ),[0],$fot(not(or(t1,t7)))]]) ).
cnf(refute_0_25883,plain,
( and(not(t1),not(t7)) != and(b,not(t7))
| not(or(t1,t7)) = and(b,not(t7)) ),
inference(resolve,[$cnf( $equal(and(not(t1),not(t7)),not(or(t1,t7))) )],[refute_0_10950,refute_0_25882]) ).
cnf(refute_0_25884,plain,
not(or(t1,t7)) = and(b,not(t7)),
inference(resolve,[$cnf( $equal(and(not(t1),not(t7)),and(b,not(t7))) )],[refute_0_25881,refute_0_25883]) ).
cnf(refute_0_25885,plain,
( not(or(t1,t7)) != and(b,not(t7))
| and(b,not(t7)) = not(or(t1,t7)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(t1,t7)))),bind(Y0,$fot(and(b,not(t7))))]]) ).
cnf(refute_0_25886,plain,
and(b,not(t7)) = not(or(t1,t7)),
inference(resolve,[$cnf( $equal(not(or(t1,t7)),and(b,not(t7))) )],[refute_0_25884,refute_0_25885]) ).
cnf(refute_0_25887,plain,
( and(and(b,not(t7)),Z) != and(b,and(not(t7),Z))
| and(b,not(t7)) != not(or(t1,t7))
| and(not(or(t1,t7)),Z) = and(b,and(not(t7),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(b,not(t7)),Z),and(b,and(not(t7),Z))) ),[0,0],$fot(not(or(t1,t7)))]]) ).
cnf(refute_0_25888,plain,
( and(and(b,not(t7)),Z) != and(b,and(not(t7),Z))
| and(not(or(t1,t7)),Z) = and(b,and(not(t7),Z)) ),
inference(resolve,[$cnf( $equal(and(b,not(t7)),not(or(t1,t7))) )],[refute_0_25886,refute_0_25887]) ).
cnf(refute_0_25889,plain,
and(not(or(t1,t7)),Z) = and(b,and(not(t7),Z)),
inference(resolve,[$cnf( $equal(and(and(b,not(t7)),Z),and(b,and(not(t7),Z))) )],[refute_0_25869,refute_0_25888]) ).
cnf(refute_0_25890,plain,
and(not(or(t1,t7)),X) = and(b,and(not(t7),X)),
inference(subst,[],[refute_0_25889:[bind(Z,$fot(X))]]) ).
cnf(refute_0_25891,plain,
and(not(or(t7,xor(carry_def,t5))),X) = and(not(or(t7,xor(carry_def,t5))),X),
introduced(tautology,[refl,[$fot(and(not(or(t7,xor(carry_def,t5))),X))]]) ).
cnf(refute_0_25892,plain,
( and(not(or(t7,xor(carry_def,t5))),X) != and(not(or(t7,xor(carry_def,t5))),X)
| not(or(t7,xor(carry_def,t5))) != not(or(t1,t7))
| and(not(or(t7,xor(carry_def,t5))),X) = and(not(or(t1,t7)),X) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(or(t7,xor(carry_def,t5))),X),and(not(or(t7,xor(carry_def,t5))),X)) ),[1,0],$fot(not(or(t1,t7)))]]) ).
cnf(refute_0_25893,plain,
( not(or(t7,xor(carry_def,t5))) != not(or(t1,t7))
| and(not(or(t7,xor(carry_def,t5))),X) = and(not(or(t1,t7)),X) ),
inference(resolve,[$cnf( $equal(and(not(or(t7,xor(carry_def,t5))),X),and(not(or(t7,xor(carry_def,t5))),X)) )],[refute_0_25891,refute_0_25892]) ).
cnf(refute_0_25894,plain,
and(not(or(t7,xor(carry_def,t5))),X) = and(not(or(t1,t7)),X),
inference(resolve,[$cnf( $equal(not(or(t7,xor(carry_def,t5))),not(or(t1,t7))) )],[refute_0_25865,refute_0_25893]) ).
cnf(refute_0_25895,plain,
( and(not(or(t1,t7)),X) != and(b,and(not(t7),X))
| and(not(or(t7,xor(carry_def,t5))),X) != and(not(or(t1,t7)),X)
| and(not(or(t7,xor(carry_def,t5))),X) = and(b,and(not(t7),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(or(t7,xor(carry_def,t5))),X))),bind(Y0,$fot(and(not(or(t1,t7)),X))),bind(Z0,$fot(and(b,and(not(t7),X))))]]) ).
cnf(refute_0_25896,plain,
( and(not(or(t1,t7)),X) != and(b,and(not(t7),X))
| and(not(or(t7,xor(carry_def,t5))),X) = and(b,and(not(t7),X)) ),
inference(resolve,[$cnf( $equal(and(not(or(t7,xor(carry_def,t5))),X),and(not(or(t1,t7)),X)) )],[refute_0_25894,refute_0_25895]) ).
cnf(refute_0_25897,plain,
and(not(or(t7,xor(carry_def,t5))),X) = and(b,and(not(t7),X)),
inference(resolve,[$cnf( $equal(and(not(or(t1,t7)),X),and(b,and(not(t7),X))) )],[refute_0_25890,refute_0_25896]) ).
cnf(refute_0_25898,plain,
not(or(t7,or(xor(carry_def,t5),not(X)))) = and(not(or(t7,xor(carry_def,t5))),X),
inference(subst,[],[refute_0_7097:[bind(X,$fot(t7)),bind(Y,$fot(xor(carry_def,t5))),bind(X_78,$fot(X))]]) ).
cnf(refute_0_25899,plain,
not(or(not(X),or(t7,xor(carry_def,t5)))) = not(or(t7,or(xor(carry_def,t5),not(X)))),
inference(subst,[],[refute_0_2912:[bind(X_26,$fot(not(X))),bind(X_37,$fot(t7)),bind(X_38,$fot(xor(carry_def,t5)))]]) ).
cnf(refute_0_25900,plain,
( not(or(not(X),or(t7,xor(carry_def,t5)))) != not(or(t7,or(xor(carry_def,t5),not(X))))
| not(or(t7,or(xor(carry_def,t5),not(X)))) != and(not(or(t7,xor(carry_def,t5))),X)
| not(or(not(X),or(t7,xor(carry_def,t5)))) = and(not(or(t7,xor(carry_def,t5))),X) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(not(X),or(t7,xor(carry_def,t5)))))),bind(Y0,$fot(not(or(t7,or(xor(carry_def,t5),not(X)))))),bind(Z0,$fot(and(not(or(t7,xor(carry_def,t5))),X)))]]) ).
cnf(refute_0_25901,plain,
( not(or(t7,or(xor(carry_def,t5),not(X)))) != and(not(or(t7,xor(carry_def,t5))),X)
| not(or(not(X),or(t7,xor(carry_def,t5)))) = and(not(or(t7,xor(carry_def,t5))),X) ),
inference(resolve,[$cnf( $equal(not(or(not(X),or(t7,xor(carry_def,t5)))),not(or(t7,or(xor(carry_def,t5),not(X))))) )],[refute_0_25899,refute_0_25900]) ).
cnf(refute_0_25902,plain,
not(or(not(X),or(t7,xor(carry_def,t5)))) = and(not(or(t7,xor(carry_def,t5))),X),
inference(resolve,[$cnf( $equal(not(or(t7,or(xor(carry_def,t5),not(X)))),and(not(or(t7,xor(carry_def,t5))),X)) )],[refute_0_25898,refute_0_25901]) ).
cnf(refute_0_25903,plain,
( and(not(or(t7,xor(carry_def,t5))),X) != and(b,and(not(t7),X))
| not(or(not(X),or(t7,xor(carry_def,t5)))) != and(not(or(t7,xor(carry_def,t5))),X)
| not(or(not(X),or(t7,xor(carry_def,t5)))) = and(b,and(not(t7),X)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(not(X),or(t7,xor(carry_def,t5)))))),bind(Y0,$fot(and(not(or(t7,xor(carry_def,t5))),X))),bind(Z0,$fot(and(b,and(not(t7),X))))]]) ).
cnf(refute_0_25904,plain,
( and(not(or(t7,xor(carry_def,t5))),X) != and(b,and(not(t7),X))
| not(or(not(X),or(t7,xor(carry_def,t5)))) = and(b,and(not(t7),X)) ),
inference(resolve,[$cnf( $equal(not(or(not(X),or(t7,xor(carry_def,t5)))),and(not(or(t7,xor(carry_def,t5))),X)) )],[refute_0_25902,refute_0_25903]) ).
cnf(refute_0_25905,plain,
not(or(not(X),or(t7,xor(carry_def,t5)))) = and(b,and(not(t7),X)),
inference(resolve,[$cnf( $equal(and(not(or(t7,xor(carry_def,t5))),X),and(b,and(not(t7),X))) )],[refute_0_25897,refute_0_25904]) ).
cnf(refute_0_25906,plain,
( not(or(not(X),or(t7,xor(carry_def,t5)))) != and(X,not(or(t1,t7)))
| not(or(not(X),or(t7,xor(carry_def,t5)))) != and(b,and(not(t7),X))
| and(b,and(not(t7),X)) = and(X,not(or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(X),or(t7,xor(carry_def,t5)))),and(X,not(or(t1,t7)))) ),[0],$fot(and(b,and(not(t7),X)))]]) ).
cnf(refute_0_25907,plain,
( not(or(not(X),or(t7,xor(carry_def,t5)))) != and(X,not(or(t1,t7)))
| and(b,and(not(t7),X)) = and(X,not(or(t1,t7))) ),
inference(resolve,[$cnf( $equal(not(or(not(X),or(t7,xor(carry_def,t5)))),and(b,and(not(t7),X))) )],[refute_0_25905,refute_0_25906]) ).
cnf(refute_0_25908,plain,
and(b,and(not(t7),X)) = and(X,not(or(t1,t7))),
inference(resolve,[$cnf( $equal(not(or(not(X),or(t7,xor(carry_def,t5)))),and(X,not(or(t1,t7)))) )],[refute_0_25868,refute_0_25907]) ).
cnf(refute_0_25909,plain,
( and(b,and(not(t7),X)) != and(X,not(or(t1,t7)))
| and(X,not(or(t1,t7))) = and(b,and(not(t7),X)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(and(b,and(not(t7),X)))),bind(Y0,$fot(and(X,not(or(t1,t7)))))]]) ).
cnf(refute_0_25910,plain,
and(X,not(or(t1,t7))) = and(b,and(not(t7),X)),
inference(resolve,[$cnf( $equal(and(b,and(not(t7),X)),and(X,not(or(t1,t7)))) )],[refute_0_25908,refute_0_25909]) ).
cnf(refute_0_25911,plain,
and(carry_def,not(or(t1,t7))) = and(b,and(not(t7),carry_def)),
inference(subst,[],[refute_0_25910:[bind(X,$fot(carry_def))]]) ).
cnf(refute_0_25912,plain,
( and(b,and(not(t7),carry_def)) != not(or(t1,t7))
| and(carry_def,not(or(t1,t7))) != and(b,and(not(t7),carry_def))
| and(carry_def,not(or(t1,t7))) = not(or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(carry_def,not(or(t1,t7))))),bind(Y0,$fot(and(b,and(not(t7),carry_def)))),bind(Z0,$fot(not(or(t1,t7))))]]) ).
cnf(refute_0_25913,plain,
( and(b,and(not(t7),carry_def)) != not(or(t1,t7))
| and(carry_def,not(or(t1,t7))) = not(or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(carry_def,not(or(t1,t7))),and(b,and(not(t7),carry_def))) )],[refute_0_25911,refute_0_25912]) ).
cnf(refute_0_25914,plain,
and(carry_def,not(or(t1,t7))) = not(or(t1,t7)),
inference(resolve,[$cnf( $equal(and(b,and(not(t7),carry_def)),not(or(t1,t7))) )],[refute_0_25830,refute_0_25913]) ).
cnf(refute_0_25915,plain,
and(carry_def,and(cin,not(t1))) = and(carry_def,and(cin,not(t1))),
introduced(tautology,[refl,[$fot(and(carry_def,and(cin,not(t1))))]]) ).
cnf(refute_0_25916,plain,
( and(carry_def,and(cin,not(t1))) != and(carry_def,and(cin,not(t1)))
| and(cin,not(t1)) != not(or(t1,t7))
| and(carry_def,and(cin,not(t1))) = and(carry_def,not(or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry_def,and(cin,not(t1))),and(carry_def,and(cin,not(t1)))) ),[1,1],$fot(not(or(t1,t7)))]]) ).
cnf(refute_0_25917,plain,
( and(cin,not(t1)) != not(or(t1,t7))
| and(carry_def,and(cin,not(t1))) = and(carry_def,not(or(t1,t7))) ),
inference(resolve,[$cnf( $equal(and(carry_def,and(cin,not(t1))),and(carry_def,and(cin,not(t1)))) )],[refute_0_25915,refute_0_25916]) ).
cnf(refute_0_25918,plain,
and(carry_def,and(cin,not(t1))) = and(carry_def,not(or(t1,t7))),
inference(resolve,[$cnf( $equal(and(cin,not(t1)),not(or(t1,t7))) )],[refute_0_10211,refute_0_25917]) ).
cnf(refute_0_25919,plain,
( and(carry_def,and(cin,not(t1))) != and(carry_def,not(or(t1,t7)))
| and(carry_def,not(or(t1,t7))) != not(or(t1,t7))
| and(carry_def,and(cin,not(t1))) = not(or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(carry_def,and(cin,not(t1))))),bind(Y0,$fot(and(carry_def,not(or(t1,t7))))),bind(Z0,$fot(not(or(t1,t7))))]]) ).
cnf(refute_0_25920,plain,
( and(carry_def,not(or(t1,t7))) != not(or(t1,t7))
| and(carry_def,and(cin,not(t1))) = not(or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(carry_def,and(cin,not(t1))),and(carry_def,not(or(t1,t7)))) )],[refute_0_25918,refute_0_25919]) ).
cnf(refute_0_25921,plain,
and(carry_def,and(cin,not(t1))) = not(or(t1,t7)),
inference(resolve,[$cnf( $equal(and(carry_def,not(or(t1,t7))),not(or(t1,t7))) )],[refute_0_25914,refute_0_25920]) ).
cnf(refute_0_25922,plain,
and(carry_def,and(not(t1),cin)) = and(carry_def,and(cin,not(t1))),
inference(subst,[],[refute_0_2637:[bind(X_220,$fot(carry_def)),bind(X_221,$fot(cin)),bind(X_222,$fot(not(t1)))]]) ).
cnf(refute_0_25923,plain,
and(not(t1),and(carry_def,cin)) = and(carry_def,and(not(t1),cin)),
inference(subst,[],[refute_0_4220:[bind(X,$fot(carry_def)),bind(Z,$fot(cin)),bind(X_669,$fot(not(t1)))]]) ).
cnf(refute_0_25924,plain,
( and(carry_def,and(not(t1),cin)) != and(carry_def,and(cin,not(t1)))
| and(not(t1),and(carry_def,cin)) != and(carry_def,and(not(t1),cin))
| and(not(t1),and(carry_def,cin)) = and(carry_def,and(cin,not(t1))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(not(t1),and(carry_def,cin)))),bind(Y0,$fot(and(carry_def,and(not(t1),cin)))),bind(Z0,$fot(and(carry_def,and(cin,not(t1)))))]]) ).
cnf(refute_0_25925,plain,
( and(carry_def,and(not(t1),cin)) != and(carry_def,and(cin,not(t1)))
| and(not(t1),and(carry_def,cin)) = and(carry_def,and(cin,not(t1))) ),
inference(resolve,[$cnf( $equal(and(not(t1),and(carry_def,cin)),and(carry_def,and(not(t1),cin))) )],[refute_0_25923,refute_0_25924]) ).
cnf(refute_0_25926,plain,
and(not(t1),and(carry_def,cin)) = and(carry_def,and(cin,not(t1))),
inference(resolve,[$cnf( $equal(and(carry_def,and(not(t1),cin)),and(carry_def,and(cin,not(t1)))) )],[refute_0_25922,refute_0_25925]) ).
cnf(refute_0_25927,plain,
not(or(t1,not(and(carry_def,cin)))) = and(not(t1),and(carry_def,cin)),
inference(subst,[],[refute_0_801:[bind(X,$fot(and(carry_def,cin))),bind(X_25,$fot(t1))]]) ).
cnf(refute_0_25928,plain,
( and(not(t1),and(carry_def,cin)) != and(carry_def,and(cin,not(t1)))
| not(or(t1,not(and(carry_def,cin)))) != and(not(t1),and(carry_def,cin))
| not(or(t1,not(and(carry_def,cin)))) = and(carry_def,and(cin,not(t1))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(t1,not(and(carry_def,cin)))))),bind(Y0,$fot(and(not(t1),and(carry_def,cin)))),bind(Z0,$fot(and(carry_def,and(cin,not(t1)))))]]) ).
cnf(refute_0_25929,plain,
( and(not(t1),and(carry_def,cin)) != and(carry_def,and(cin,not(t1)))
| not(or(t1,not(and(carry_def,cin)))) = and(carry_def,and(cin,not(t1))) ),
inference(resolve,[$cnf( $equal(not(or(t1,not(and(carry_def,cin)))),and(not(t1),and(carry_def,cin))) )],[refute_0_25927,refute_0_25928]) ).
cnf(refute_0_25930,plain,
not(or(t1,not(and(carry_def,cin)))) = and(carry_def,and(cin,not(t1))),
inference(resolve,[$cnf( $equal(and(not(t1),and(carry_def,cin)),and(carry_def,and(cin,not(t1)))) )],[refute_0_25926,refute_0_25929]) ).
cnf(refute_0_25931,plain,
( and(carry_def,and(cin,not(t1))) != not(or(t1,t7))
| not(or(t1,not(and(carry_def,cin)))) != and(carry_def,and(cin,not(t1)))
| not(or(t1,not(and(carry_def,cin)))) = not(or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(t1,not(and(carry_def,cin)))))),bind(Y0,$fot(and(carry_def,and(cin,not(t1))))),bind(Z0,$fot(not(or(t1,t7))))]]) ).
cnf(refute_0_25932,plain,
( and(carry_def,and(cin,not(t1))) != not(or(t1,t7))
| not(or(t1,not(and(carry_def,cin)))) = not(or(t1,t7)) ),
inference(resolve,[$cnf( $equal(not(or(t1,not(and(carry_def,cin)))),and(carry_def,and(cin,not(t1)))) )],[refute_0_25930,refute_0_25931]) ).
cnf(refute_0_25933,plain,
not(or(t1,not(and(carry_def,cin)))) = not(or(t1,t7)),
inference(resolve,[$cnf( $equal(and(carry_def,and(cin,not(t1))),not(or(t1,t7))) )],[refute_0_25921,refute_0_25932]) ).
cnf(refute_0_25934,plain,
or(t1,not(or(t1,not(and(carry_def,cin))))) = or(t1,not(or(t1,not(and(carry_def,cin))))),
introduced(tautology,[refl,[$fot(or(t1,not(or(t1,not(and(carry_def,cin))))))]]) ).
cnf(refute_0_25935,plain,
( not(or(t1,not(and(carry_def,cin)))) != not(or(t1,t7))
| or(t1,not(or(t1,not(and(carry_def,cin))))) != or(t1,not(or(t1,not(and(carry_def,cin)))))
| or(t1,not(or(t1,not(and(carry_def,cin))))) = or(t1,not(or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,not(or(t1,not(and(carry_def,cin))))),or(t1,not(or(t1,not(and(carry_def,cin)))))) ),[1,1],$fot(not(or(t1,t7)))]]) ).
cnf(refute_0_25936,plain,
( not(or(t1,not(and(carry_def,cin)))) != not(or(t1,t7))
| or(t1,not(or(t1,not(and(carry_def,cin))))) = or(t1,not(or(t1,t7))) ),
inference(resolve,[$cnf( $equal(or(t1,not(or(t1,not(and(carry_def,cin))))),or(t1,not(or(t1,not(and(carry_def,cin)))))) )],[refute_0_25934,refute_0_25935]) ).
cnf(refute_0_25937,plain,
or(t1,not(or(t1,not(and(carry_def,cin))))) = or(t1,not(or(t1,t7))),
inference(resolve,[$cnf( $equal(not(or(t1,not(and(carry_def,cin)))),not(or(t1,t7))) )],[refute_0_25933,refute_0_25936]) ).
cnf(refute_0_25938,plain,
( or(t1,not(or(t1,not(and(carry_def,cin))))) != or(t1,not(or(t1,t7)))
| or(t1,not(or(t1,t7))) != not(xor(t1,or(t1,t7)))
| or(t1,not(or(t1,not(and(carry_def,cin))))) = not(xor(t1,or(t1,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t1,not(or(t1,not(and(carry_def,cin))))))),bind(Y0,$fot(or(t1,not(or(t1,t7))))),bind(Z0,$fot(not(xor(t1,or(t1,t7)))))]]) ).
cnf(refute_0_25939,plain,
( or(t1,not(or(t1,t7))) != not(xor(t1,or(t1,t7)))
| or(t1,not(or(t1,not(and(carry_def,cin))))) = not(xor(t1,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(or(t1,not(or(t1,not(and(carry_def,cin))))),or(t1,not(or(t1,t7)))) )],[refute_0_25937,refute_0_25938]) ).
cnf(refute_0_25940,plain,
or(t1,not(or(t1,not(and(carry_def,cin))))) = not(xor(t1,or(t1,t7))),
inference(resolve,[$cnf( $equal(or(t1,not(or(t1,t7))),not(xor(t1,or(t1,t7)))) )],[refute_0_25412,refute_0_25939]) ).
cnf(refute_0_25941,plain,
or(t1,not(and(carry,or(t1,not(and(carry_def,cin)))))) = or(t1,not(or(t1,not(and(carry_def,cin))))),
inference(subst,[],[refute_0_25001:[bind(Y,$fot(or(t1,not(and(carry_def,cin)))))]]) ).
cnf(refute_0_25942,plain,
or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin))))))) = or(t1,not(and(carry,or(t1,not(and(carry_def,cin)))))),
inference(subst,[],[refute_0_9835:[bind(Y,$fot(and(carry,or(t1,not(and(carry_def,cin))))))]]) ).
cnf(refute_0_25943,plain,
( or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin))))))) != or(t1,not(and(carry,or(t1,not(and(carry_def,cin))))))
| or(t1,not(and(carry,or(t1,not(and(carry_def,cin)))))) != or(t1,not(or(t1,not(and(carry_def,cin)))))
| or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin))))))) = or(t1,not(or(t1,not(and(carry_def,cin))))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin))))))))),bind(Y0,$fot(or(t1,not(and(carry,or(t1,not(and(carry_def,cin)))))))),bind(Z0,$fot(or(t1,not(or(t1,not(and(carry_def,cin)))))))]]) ).
cnf(refute_0_25944,plain,
( or(t1,not(and(carry,or(t1,not(and(carry_def,cin)))))) != or(t1,not(or(t1,not(and(carry_def,cin)))))
| or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin))))))) = or(t1,not(or(t1,not(and(carry_def,cin))))) ),
inference(resolve,[$cnf( $equal(or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin))))))),or(t1,not(and(carry,or(t1,not(and(carry_def,cin))))))) )],[refute_0_25942,refute_0_25943]) ).
cnf(refute_0_25945,plain,
or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin))))))) = or(t1,not(or(t1,not(and(carry_def,cin))))),
inference(resolve,[$cnf( $equal(or(t1,not(and(carry,or(t1,not(and(carry_def,cin)))))),or(t1,not(or(t1,not(and(carry_def,cin)))))) )],[refute_0_25941,refute_0_25944]) ).
cnf(refute_0_25946,plain,
( or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin))))))) != or(t1,not(or(t1,not(and(carry_def,cin)))))
| or(t1,not(or(t1,not(and(carry_def,cin))))) != not(xor(t1,or(t1,t7)))
| or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin))))))) = not(xor(t1,or(t1,t7))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin))))))))),bind(Y0,$fot(or(t1,not(or(t1,not(and(carry_def,cin))))))),bind(Z0,$fot(not(xor(t1,or(t1,t7)))))]]) ).
cnf(refute_0_25947,plain,
( or(t1,not(or(t1,not(and(carry_def,cin))))) != not(xor(t1,or(t1,t7)))
| or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin))))))) = not(xor(t1,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin))))))),or(t1,not(or(t1,not(and(carry_def,cin)))))) )],[refute_0_25945,refute_0_25946]) ).
cnf(refute_0_25948,plain,
or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin))))))) = not(xor(t1,or(t1,t7))),
inference(resolve,[$cnf( $equal(or(t1,not(or(t1,not(and(carry_def,cin))))),not(xor(t1,or(t1,t7)))) )],[refute_0_25940,refute_0_25947]) ).
cnf(refute_0_25949,plain,
( or(sum,t1) != or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin)))))))
| or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin))))))) != not(xor(t1,or(t1,t7)))
| or(sum,t1) = not(xor(t1,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(sum,t1),not(xor(t1,or(t1,t7)))) ),[0],$fot(or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin))))))))]]) ).
cnf(refute_0_25950,plain,
( or(sum,t1) != or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin)))))))
| or(sum,t1) = not(xor(t1,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin))))))),not(xor(t1,or(t1,t7)))) )],[refute_0_25948,refute_0_25949]) ).
cnf(refute_0_25951,plain,
( or(t1,not(and(carry,t7))) != or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin)))))))
| or(sum,t1) = not(xor(t1,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(or(sum,t1),or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin)))))))) )],[refute_0_25007,refute_0_25950]) ).
cnf(refute_0_25952,plain,
or(sum,t1) = not(xor(t1,or(t1,t7))),
inference(resolve,[$cnf( $equal(or(t1,not(and(carry,t7))),or(t1,not(and(b,and(carry,or(t1,not(and(carry_def,cin)))))))) )],[refute_0_17810,refute_0_25951]) ).
cnf(refute_0_25953,plain,
not(not(or(cin,t1))) = or(cin,t1),
inference(subst,[],[not_involution:[bind(X,$fot(or(cin,t1)))]]) ).
cnf(refute_0_25954,plain,
and(xor(t1,or(t1,t7)),or(t5,xor(t1,or(t1,t7)))) = xor(t1,or(t1,t7)),
inference(subst,[],[refute_0_214:[bind(X_19,$fot(xor(t1,or(t1,t7)))),bind(X_20,$fot(t5))]]) ).
cnf(refute_0_25955,plain,
not(not(or(t5,xor(t1,or(t1,t7))))) = or(t5,xor(t1,or(t1,t7))),
inference(subst,[],[not_involution:[bind(X,$fot(or(t5,xor(t1,or(t1,t7)))))]]) ).
cnf(refute_0_25956,plain,
and(not(t5),not(xor(t1,or(t1,t7)))) = and(carry,and(t1,not(xor(t1,or(t1,t7))))),
inference(subst,[],[refute_0_11700:[bind(Z,$fot(not(xor(t1,or(t1,t7)))))]]) ).
cnf(refute_0_25957,plain,
not(or(xor(t1,or(t1,t7)),not(t1))) = not(or(not(t1),xor(t1,or(t1,t7)))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(not(t1))),bind(X_26,$fot(xor(t1,or(t1,t7))))]]) ).
cnf(refute_0_25958,plain,
or(not(t1),and(not(t1),or(t1,t7))) = not(t1),
inference(subst,[],[or_absorption:[bind(X,$fot(not(t1))),bind(Y,$fot(or(t1,t7)))]]) ).
cnf(refute_0_25959,plain,
( and(not(t1),or(t1,t7)) != xor(t1,or(t1,t7))
| or(not(t1),and(not(t1),or(t1,t7))) != not(t1)
| or(not(t1),xor(t1,or(t1,t7))) = not(t1) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(t1),and(not(t1),or(t1,t7))),not(t1)) ),[0,1],$fot(xor(t1,or(t1,t7)))]]) ).
cnf(refute_0_25960,plain,
( or(not(t1),and(not(t1),or(t1,t7))) != not(t1)
| or(not(t1),xor(t1,or(t1,t7))) = not(t1) ),
inference(resolve,[$cnf( $equal(and(not(t1),or(t1,t7)),xor(t1,or(t1,t7))) )],[refute_0_25402,refute_0_25959]) ).
cnf(refute_0_25961,plain,
or(not(t1),xor(t1,or(t1,t7))) = not(t1),
inference(resolve,[$cnf( $equal(or(not(t1),and(not(t1),or(t1,t7))),not(t1)) )],[refute_0_25958,refute_0_25960]) ).
cnf(refute_0_25962,plain,
( not(or(xor(t1,or(t1,t7)),not(t1))) != not(or(not(t1),xor(t1,or(t1,t7))))
| or(not(t1),xor(t1,or(t1,t7))) != not(t1)
| not(or(xor(t1,or(t1,t7)),not(t1))) = not(not(t1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(t1,or(t1,t7)),not(t1))),not(or(not(t1),xor(t1,or(t1,t7))))) ),[1,0],$fot(not(t1))]]) ).
cnf(refute_0_25963,plain,
( not(or(xor(t1,or(t1,t7)),not(t1))) != not(or(not(t1),xor(t1,or(t1,t7))))
| not(or(xor(t1,or(t1,t7)),not(t1))) = not(not(t1)) ),
inference(resolve,[$cnf( $equal(or(not(t1),xor(t1,or(t1,t7))),not(t1)) )],[refute_0_25961,refute_0_25962]) ).
cnf(refute_0_25964,plain,
not(or(xor(t1,or(t1,t7)),not(t1))) = not(not(t1)),
inference(resolve,[$cnf( $equal(not(or(xor(t1,or(t1,t7)),not(t1))),not(or(not(t1),xor(t1,or(t1,t7))))) )],[refute_0_25957,refute_0_25963]) ).
cnf(refute_0_25965,plain,
and(not(xor(t1,or(t1,t7))),t1) = and(t1,not(xor(t1,or(t1,t7)))),
inference(subst,[],[refute_0_4252:[bind(X_14,$fot(t1)),bind(X_669,$fot(not(xor(t1,or(t1,t7)))))]]) ).
cnf(refute_0_25966,plain,
not(or(xor(t1,or(t1,t7)),not(t1))) = and(not(xor(t1,or(t1,t7))),t1),
inference(subst,[],[refute_0_801:[bind(X,$fot(t1)),bind(X_25,$fot(xor(t1,or(t1,t7))))]]) ).
cnf(refute_0_25967,plain,
( and(not(xor(t1,or(t1,t7))),t1) != and(t1,not(xor(t1,or(t1,t7))))
| not(or(xor(t1,or(t1,t7)),not(t1))) != and(not(xor(t1,or(t1,t7))),t1)
| not(or(xor(t1,or(t1,t7)),not(t1))) = and(t1,not(xor(t1,or(t1,t7)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(xor(t1,or(t1,t7)),not(t1))))),bind(Y0,$fot(and(not(xor(t1,or(t1,t7))),t1))),bind(Z0,$fot(and(t1,not(xor(t1,or(t1,t7))))))]]) ).
cnf(refute_0_25968,plain,
( and(not(xor(t1,or(t1,t7))),t1) != and(t1,not(xor(t1,or(t1,t7))))
| not(or(xor(t1,or(t1,t7)),not(t1))) = and(t1,not(xor(t1,or(t1,t7)))) ),
inference(resolve,[$cnf( $equal(not(or(xor(t1,or(t1,t7)),not(t1))),and(not(xor(t1,or(t1,t7))),t1)) )],[refute_0_25966,refute_0_25967]) ).
cnf(refute_0_25969,plain,
not(or(xor(t1,or(t1,t7)),not(t1))) = and(t1,not(xor(t1,or(t1,t7)))),
inference(resolve,[$cnf( $equal(and(not(xor(t1,or(t1,t7))),t1),and(t1,not(xor(t1,or(t1,t7))))) )],[refute_0_25965,refute_0_25968]) ).
cnf(refute_0_25970,plain,
( not(or(xor(t1,or(t1,t7)),not(t1))) != and(t1,not(xor(t1,or(t1,t7))))
| not(or(xor(t1,or(t1,t7)),not(t1))) != not(not(t1))
| and(t1,not(xor(t1,or(t1,t7)))) = not(not(t1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(xor(t1,or(t1,t7)),not(t1))),not(not(t1))) ),[0],$fot(and(t1,not(xor(t1,or(t1,t7)))))]]) ).
cnf(refute_0_25971,plain,
( not(or(xor(t1,or(t1,t7)),not(t1))) != not(not(t1))
| and(t1,not(xor(t1,or(t1,t7)))) = not(not(t1)) ),
inference(resolve,[$cnf( $equal(not(or(xor(t1,or(t1,t7)),not(t1))),and(t1,not(xor(t1,or(t1,t7))))) )],[refute_0_25969,refute_0_25970]) ).
cnf(refute_0_25972,plain,
( and(t1,not(xor(t1,or(t1,t7)))) != not(not(t1))
| not(not(t1)) != t1
| and(t1,not(xor(t1,or(t1,t7)))) = t1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(t1,not(xor(t1,or(t1,t7)))),t1) ),[0],$fot(not(not(t1)))]]) ).
cnf(refute_0_25973,plain,
( and(t1,not(xor(t1,or(t1,t7)))) != not(not(t1))
| and(t1,not(xor(t1,or(t1,t7)))) = t1 ),
inference(resolve,[$cnf( $equal(not(not(t1)),t1) )],[refute_0_3279,refute_0_25972]) ).
cnf(refute_0_25974,plain,
( not(or(xor(t1,or(t1,t7)),not(t1))) != not(not(t1))
| and(t1,not(xor(t1,or(t1,t7)))) = t1 ),
inference(resolve,[$cnf( $equal(and(t1,not(xor(t1,or(t1,t7)))),not(not(t1))) )],[refute_0_25971,refute_0_25973]) ).
cnf(refute_0_25975,plain,
and(t1,not(xor(t1,or(t1,t7)))) = t1,
inference(resolve,[$cnf( $equal(not(or(xor(t1,or(t1,t7)),not(t1))),not(not(t1))) )],[refute_0_25964,refute_0_25974]) ).
cnf(refute_0_25976,plain,
( and(not(t5),not(xor(t1,or(t1,t7)))) != and(carry,and(t1,not(xor(t1,or(t1,t7)))))
| and(t1,not(xor(t1,or(t1,t7)))) != t1
| and(not(t5),not(xor(t1,or(t1,t7)))) = and(carry,t1) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),not(xor(t1,or(t1,t7)))),and(carry,and(t1,not(xor(t1,or(t1,t7)))))) ),[1,1],$fot(t1)]]) ).
cnf(refute_0_25977,plain,
( and(not(t5),not(xor(t1,or(t1,t7)))) != and(carry,and(t1,not(xor(t1,or(t1,t7)))))
| and(not(t5),not(xor(t1,or(t1,t7)))) = and(carry,t1) ),
inference(resolve,[$cnf( $equal(and(t1,not(xor(t1,or(t1,t7)))),t1) )],[refute_0_25975,refute_0_25976]) ).
cnf(refute_0_25978,plain,
and(not(t5),not(xor(t1,or(t1,t7)))) = and(carry,t1),
inference(resolve,[$cnf( $equal(and(not(t5),not(xor(t1,or(t1,t7)))),and(carry,and(t1,not(xor(t1,or(t1,t7)))))) )],[refute_0_25956,refute_0_25977]) ).
cnf(refute_0_25979,plain,
and(not(t5),not(xor(t1,or(t1,t7)))) = not(or(t5,xor(t1,or(t1,t7)))),
inference(subst,[],[refute_0_101:[bind(X,$fot(t5)),bind(Y,$fot(xor(t1,or(t1,t7))))]]) ).
cnf(refute_0_25980,plain,
( and(not(t5),not(xor(t1,or(t1,t7)))) != and(carry,t1)
| and(not(t5),not(xor(t1,or(t1,t7)))) != not(or(t5,xor(t1,or(t1,t7))))
| not(or(t5,xor(t1,or(t1,t7)))) = and(carry,t1) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(t5),not(xor(t1,or(t1,t7)))),and(carry,t1)) ),[0],$fot(not(or(t5,xor(t1,or(t1,t7)))))]]) ).
cnf(refute_0_25981,plain,
( and(not(t5),not(xor(t1,or(t1,t7)))) != and(carry,t1)
| not(or(t5,xor(t1,or(t1,t7)))) = and(carry,t1) ),
inference(resolve,[$cnf( $equal(and(not(t5),not(xor(t1,or(t1,t7)))),not(or(t5,xor(t1,or(t1,t7))))) )],[refute_0_25979,refute_0_25980]) ).
cnf(refute_0_25982,plain,
( and(carry,t1) != not(t5)
| not(or(t5,xor(t1,or(t1,t7)))) != and(carry,t1)
| not(or(t5,xor(t1,or(t1,t7)))) = not(t5) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(t5,xor(t1,or(t1,t7)))),and(carry,t1)) ),[1],$fot(not(t5))]]) ).
cnf(refute_0_25983,plain,
( not(or(t5,xor(t1,or(t1,t7)))) != and(carry,t1)
| not(or(t5,xor(t1,or(t1,t7)))) = not(t5) ),
inference(resolve,[$cnf( $equal(and(carry,t1),not(t5)) )],[refute_0_11697,refute_0_25982]) ).
cnf(refute_0_25984,plain,
( and(not(t5),not(xor(t1,or(t1,t7)))) != and(carry,t1)
| not(or(t5,xor(t1,or(t1,t7)))) = not(t5) ),
inference(resolve,[$cnf( $equal(not(or(t5,xor(t1,or(t1,t7)))),and(carry,t1)) )],[refute_0_25981,refute_0_25983]) ).
cnf(refute_0_25985,plain,
not(or(t5,xor(t1,or(t1,t7)))) = not(t5),
inference(resolve,[$cnf( $equal(and(not(t5),not(xor(t1,or(t1,t7)))),and(carry,t1)) )],[refute_0_25978,refute_0_25984]) ).
cnf(refute_0_25986,plain,
( not(not(or(t5,xor(t1,or(t1,t7))))) != or(t5,xor(t1,or(t1,t7)))
| not(or(t5,xor(t1,or(t1,t7)))) != not(t5)
| not(not(t5)) = or(t5,xor(t1,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(or(t5,xor(t1,or(t1,t7))))),or(t5,xor(t1,or(t1,t7)))) ),[0,0],$fot(not(t5))]]) ).
cnf(refute_0_25987,plain,
( not(not(or(t5,xor(t1,or(t1,t7))))) != or(t5,xor(t1,or(t1,t7)))
| not(not(t5)) = or(t5,xor(t1,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(not(or(t5,xor(t1,or(t1,t7)))),not(t5)) )],[refute_0_25985,refute_0_25986]) ).
cnf(refute_0_25988,plain,
not(not(t5)) = or(t5,xor(t1,or(t1,t7))),
inference(resolve,[$cnf( $equal(not(not(or(t5,xor(t1,or(t1,t7))))),or(t5,xor(t1,or(t1,t7)))) )],[refute_0_25955,refute_0_25987]) ).
cnf(refute_0_25989,plain,
( not(not(t5)) != or(t5,xor(t1,or(t1,t7)))
| not(not(t5)) != t5
| t5 = or(t5,xor(t1,or(t1,t7))) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(t5)),or(t5,xor(t1,or(t1,t7)))) ),[0],$fot(t5)]]) ).
cnf(refute_0_25990,plain,
( not(not(t5)) != or(t5,xor(t1,or(t1,t7)))
| t5 = or(t5,xor(t1,or(t1,t7))) ),
inference(resolve,[$cnf( $equal(not(not(t5)),t5) )],[refute_0_4051,refute_0_25989]) ).
cnf(refute_0_25991,plain,
t5 = or(t5,xor(t1,or(t1,t7))),
inference(resolve,[$cnf( $equal(not(not(t5)),or(t5,xor(t1,or(t1,t7)))) )],[refute_0_25988,refute_0_25990]) ).
cnf(refute_0_25992,plain,
( t5 != or(t5,xor(t1,or(t1,t7)))
| or(t5,xor(t1,or(t1,t7))) = t5 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(t5)),bind(Y0,$fot(or(t5,xor(t1,or(t1,t7)))))]]) ).
cnf(refute_0_25993,plain,
or(t5,xor(t1,or(t1,t7))) = t5,
inference(resolve,[$cnf( $equal(t5,or(t5,xor(t1,or(t1,t7)))) )],[refute_0_25991,refute_0_25992]) ).
cnf(refute_0_25994,plain,
( and(xor(t1,or(t1,t7)),or(t5,xor(t1,or(t1,t7)))) != xor(t1,or(t1,t7))
| or(t5,xor(t1,or(t1,t7))) != t5
| and(xor(t1,or(t1,t7)),t5) = xor(t1,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t1,or(t1,t7)),or(t5,xor(t1,or(t1,t7)))),xor(t1,or(t1,t7))) ),[0,1],$fot(t5)]]) ).
cnf(refute_0_25995,plain,
( and(xor(t1,or(t1,t7)),or(t5,xor(t1,or(t1,t7)))) != xor(t1,or(t1,t7))
| and(xor(t1,or(t1,t7)),t5) = xor(t1,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(or(t5,xor(t1,or(t1,t7))),t5) )],[refute_0_25993,refute_0_25994]) ).
cnf(refute_0_25996,plain,
and(xor(t1,or(t1,t7)),t5) = xor(t1,or(t1,t7)),
inference(resolve,[$cnf( $equal(and(xor(t1,or(t1,t7)),or(t5,xor(t1,or(t1,t7)))),xor(t1,or(t1,t7))) )],[refute_0_25954,refute_0_25995]) ).
cnf(refute_0_25997,plain,
and(xor(t1,or(t1,t7)),t5) = and(t5,xor(t1,or(t1,t7))),
inference(subst,[],[refute_0_4252:[bind(X_14,$fot(t5)),bind(X_669,$fot(xor(t1,or(t1,t7))))]]) ).
cnf(refute_0_25998,plain,
( and(xor(t1,or(t1,t7)),t5) != and(t5,xor(t1,or(t1,t7)))
| and(xor(t1,or(t1,t7)),t5) != xor(t1,or(t1,t7))
| and(t5,xor(t1,or(t1,t7))) = xor(t1,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(xor(t1,or(t1,t7)),t5),xor(t1,or(t1,t7))) ),[0],$fot(and(t5,xor(t1,or(t1,t7))))]]) ).
cnf(refute_0_25999,plain,
( and(xor(t1,or(t1,t7)),t5) != xor(t1,or(t1,t7))
| and(t5,xor(t1,or(t1,t7))) = xor(t1,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(xor(t1,or(t1,t7)),t5),and(t5,xor(t1,or(t1,t7)))) )],[refute_0_25997,refute_0_25998]) ).
cnf(refute_0_26000,plain,
and(t5,xor(t1,or(t1,t7))) = xor(t1,or(t1,t7)),
inference(resolve,[$cnf( $equal(and(xor(t1,or(t1,t7)),t5),xor(t1,or(t1,t7))) )],[refute_0_25996,refute_0_25999]) ).
cnf(refute_0_26001,plain,
and(not(cin),not(t1)) = and(t5,and(t7,not(t1))),
inference(subst,[],[refute_0_4419:[bind(Z,$fot(not(t1)))]]) ).
cnf(refute_0_26002,plain,
( and(not(cin),not(t1)) != and(t5,and(t7,not(t1)))
| and(t7,not(t1)) != not(or(sum,t1))
| and(not(cin),not(t1)) = and(t5,not(or(sum,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(cin),not(t1)),and(t5,and(t7,not(t1)))) ),[1,1],$fot(not(or(sum,t1)))]]) ).
cnf(refute_0_26003,plain,
( and(not(cin),not(t1)) != and(t5,and(t7,not(t1)))
| and(not(cin),not(t1)) = and(t5,not(or(sum,t1))) ),
inference(resolve,[$cnf( $equal(and(t7,not(t1)),not(or(sum,t1))) )],[refute_0_24981,refute_0_26002]) ).
cnf(refute_0_26004,plain,
and(not(cin),not(t1)) = and(t5,not(or(sum,t1))),
inference(resolve,[$cnf( $equal(and(not(cin),not(t1)),and(t5,and(t7,not(t1)))) )],[refute_0_26001,refute_0_26003]) ).
cnf(refute_0_26005,plain,
( and(not(cin),not(t1)) != and(t5,not(or(sum,t1)))
| and(not(cin),not(t1)) != not(or(cin,t1))
| not(or(cin,t1)) = and(t5,not(or(sum,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(cin),not(t1)),and(t5,not(or(sum,t1)))) ),[0],$fot(not(or(cin,t1)))]]) ).
cnf(refute_0_26006,plain,
( and(not(cin),not(t1)) != and(t5,not(or(sum,t1)))
| not(or(cin,t1)) = and(t5,not(or(sum,t1))) ),
inference(resolve,[$cnf( $equal(and(not(cin),not(t1)),not(or(cin,t1))) )],[refute_0_2767,refute_0_26005]) ).
cnf(refute_0_26007,plain,
not(or(cin,t1)) = and(t5,not(or(sum,t1))),
inference(resolve,[$cnf( $equal(and(not(cin),not(t1)),and(t5,not(or(sum,t1)))) )],[refute_0_26004,refute_0_26006]) ).
cnf(refute_0_26008,plain,
( not(or(cin,t1)) != and(t5,not(or(sum,t1)))
| and(t5,not(or(sum,t1))) = not(or(cin,t1)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(cin,t1)))),bind(Y0,$fot(and(t5,not(or(sum,t1)))))]]) ).
cnf(refute_0_26009,plain,
and(t5,not(or(sum,t1))) = not(or(cin,t1)),
inference(resolve,[$cnf( $equal(not(or(cin,t1)),and(t5,not(or(sum,t1)))) )],[refute_0_26007,refute_0_26008]) ).
cnf(refute_0_26010,plain,
not(or(not(or(t1,t7)),t1)) = not(or(t1,not(or(t1,t7)))),
inference(subst,[],[refute_0_105:[bind(X_25,$fot(t1)),bind(X_26,$fot(not(or(t1,t7))))]]) ).
cnf(refute_0_26011,plain,
( or(sum,t1) != not(xor(t1,or(t1,t7)))
| not(xor(t1,or(t1,t7))) = or(sum,t1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(or(sum,t1))),bind(Y0,$fot(not(xor(t1,or(t1,t7)))))]]) ).
cnf(refute_0_26012,plain,
not(xor(t1,or(t1,t7))) = or(sum,t1),
inference(resolve,[$cnf( $equal(or(sum,t1),not(xor(t1,or(t1,t7)))) )],[refute_0_25952,refute_0_26011]) ).
cnf(refute_0_26013,plain,
( not(xor(t1,or(t1,t7))) != or(sum,t1)
| or(t1,not(or(t1,t7))) != not(xor(t1,or(t1,t7)))
| or(t1,not(or(t1,t7))) = or(sum,t1) ),
introduced(tautology,[equality,[$cnf( $equal(or(t1,not(or(t1,t7))),not(xor(t1,or(t1,t7)))) ),[1],$fot(or(sum,t1))]]) ).
cnf(refute_0_26014,plain,
( or(t1,not(or(t1,t7))) != not(xor(t1,or(t1,t7)))
| or(t1,not(or(t1,t7))) = or(sum,t1) ),
inference(resolve,[$cnf( $equal(not(xor(t1,or(t1,t7))),or(sum,t1)) )],[refute_0_26012,refute_0_26013]) ).
cnf(refute_0_26015,plain,
or(t1,not(or(t1,t7))) = or(sum,t1),
inference(resolve,[$cnf( $equal(or(t1,not(or(t1,t7))),not(xor(t1,or(t1,t7)))) )],[refute_0_25412,refute_0_26014]) ).
cnf(refute_0_26016,plain,
( not(or(not(or(t1,t7)),t1)) != not(or(t1,not(or(t1,t7))))
| or(t1,not(or(t1,t7))) != or(sum,t1)
| not(or(not(or(t1,t7)),t1)) = not(or(sum,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(or(t1,t7)),t1)),not(or(t1,not(or(t1,t7))))) ),[1,0],$fot(or(sum,t1))]]) ).
cnf(refute_0_26017,plain,
( not(or(not(or(t1,t7)),t1)) != not(or(t1,not(or(t1,t7))))
| not(or(not(or(t1,t7)),t1)) = not(or(sum,t1)) ),
inference(resolve,[$cnf( $equal(or(t1,not(or(t1,t7))),or(sum,t1)) )],[refute_0_26015,refute_0_26016]) ).
cnf(refute_0_26018,plain,
not(or(not(or(t1,t7)),t1)) = not(or(sum,t1)),
inference(resolve,[$cnf( $equal(not(or(not(or(t1,t7)),t1)),not(or(t1,not(or(t1,t7))))) )],[refute_0_26010,refute_0_26017]) ).
cnf(refute_0_26019,plain,
not(or(t1,not(or(t1,t7)))) = and(not(t1),or(t1,t7)),
inference(subst,[],[refute_0_801:[bind(X,$fot(or(t1,t7))),bind(X_25,$fot(t1))]]) ).
cnf(refute_0_26020,plain,
( and(not(t1),or(t1,t7)) != xor(t1,or(t1,t7))
| not(or(t1,not(or(t1,t7)))) != and(not(t1),or(t1,t7))
| not(or(t1,not(or(t1,t7)))) = xor(t1,or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(t1,not(or(t1,t7)))))),bind(Y0,$fot(and(not(t1),or(t1,t7)))),bind(Z0,$fot(xor(t1,or(t1,t7))))]]) ).
cnf(refute_0_26021,plain,
( and(not(t1),or(t1,t7)) != xor(t1,or(t1,t7))
| not(or(t1,not(or(t1,t7)))) = xor(t1,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(not(or(t1,not(or(t1,t7)))),and(not(t1),or(t1,t7))) )],[refute_0_26019,refute_0_26020]) ).
cnf(refute_0_26022,plain,
not(or(t1,not(or(t1,t7)))) = xor(t1,or(t1,t7)),
inference(resolve,[$cnf( $equal(and(not(t1),or(t1,t7)),xor(t1,or(t1,t7))) )],[refute_0_25402,refute_0_26021]) ).
cnf(refute_0_26023,plain,
( not(or(not(or(t1,t7)),t1)) != not(or(t1,not(or(t1,t7))))
| not(or(t1,not(or(t1,t7)))) != xor(t1,or(t1,t7))
| not(or(not(or(t1,t7)),t1)) = xor(t1,or(t1,t7)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(or(not(or(t1,t7)),t1)))),bind(Y0,$fot(not(or(t1,not(or(t1,t7)))))),bind(Z0,$fot(xor(t1,or(t1,t7))))]]) ).
cnf(refute_0_26024,plain,
( not(or(t1,not(or(t1,t7)))) != xor(t1,or(t1,t7))
| not(or(not(or(t1,t7)),t1)) = xor(t1,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(not(or(not(or(t1,t7)),t1)),not(or(t1,not(or(t1,t7))))) )],[refute_0_26010,refute_0_26023]) ).
cnf(refute_0_26025,plain,
not(or(not(or(t1,t7)),t1)) = xor(t1,or(t1,t7)),
inference(resolve,[$cnf( $equal(not(or(t1,not(or(t1,t7)))),xor(t1,or(t1,t7))) )],[refute_0_26022,refute_0_26024]) ).
cnf(refute_0_26026,plain,
( not(or(not(or(t1,t7)),t1)) != not(or(sum,t1))
| not(or(not(or(t1,t7)),t1)) != xor(t1,or(t1,t7))
| xor(t1,or(t1,t7)) = not(or(sum,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(or(t1,t7)),t1)),not(or(sum,t1))) ),[0],$fot(xor(t1,or(t1,t7)))]]) ).
cnf(refute_0_26027,plain,
( not(or(not(or(t1,t7)),t1)) != not(or(sum,t1))
| xor(t1,or(t1,t7)) = not(or(sum,t1)) ),
inference(resolve,[$cnf( $equal(not(or(not(or(t1,t7)),t1)),xor(t1,or(t1,t7))) )],[refute_0_26025,refute_0_26026]) ).
cnf(refute_0_26028,plain,
xor(t1,or(t1,t7)) = not(or(sum,t1)),
inference(resolve,[$cnf( $equal(not(or(not(or(t1,t7)),t1)),not(or(sum,t1))) )],[refute_0_26018,refute_0_26027]) ).
cnf(refute_0_26029,plain,
and(t5,xor(t1,or(t1,t7))) = and(t5,xor(t1,or(t1,t7))),
introduced(tautology,[refl,[$fot(and(t5,xor(t1,or(t1,t7))))]]) ).
cnf(refute_0_26030,plain,
( and(t5,xor(t1,or(t1,t7))) != and(t5,xor(t1,or(t1,t7)))
| xor(t1,or(t1,t7)) != not(or(sum,t1))
| and(t5,xor(t1,or(t1,t7))) = and(t5,not(or(sum,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,xor(t1,or(t1,t7))),and(t5,xor(t1,or(t1,t7)))) ),[1,1],$fot(not(or(sum,t1)))]]) ).
cnf(refute_0_26031,plain,
( xor(t1,or(t1,t7)) != not(or(sum,t1))
| and(t5,xor(t1,or(t1,t7))) = and(t5,not(or(sum,t1))) ),
inference(resolve,[$cnf( $equal(and(t5,xor(t1,or(t1,t7))),and(t5,xor(t1,or(t1,t7)))) )],[refute_0_26029,refute_0_26030]) ).
cnf(refute_0_26032,plain,
and(t5,xor(t1,or(t1,t7))) = and(t5,not(or(sum,t1))),
inference(resolve,[$cnf( $equal(xor(t1,or(t1,t7)),not(or(sum,t1))) )],[refute_0_26028,refute_0_26031]) ).
cnf(refute_0_26033,plain,
( and(t5,not(or(sum,t1))) != not(or(cin,t1))
| and(t5,xor(t1,or(t1,t7))) != and(t5,not(or(sum,t1)))
| and(t5,xor(t1,or(t1,t7))) = not(or(cin,t1)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t5,xor(t1,or(t1,t7))))),bind(Y0,$fot(and(t5,not(or(sum,t1))))),bind(Z0,$fot(not(or(cin,t1))))]]) ).
cnf(refute_0_26034,plain,
( and(t5,not(or(sum,t1))) != not(or(cin,t1))
| and(t5,xor(t1,or(t1,t7))) = not(or(cin,t1)) ),
inference(resolve,[$cnf( $equal(and(t5,xor(t1,or(t1,t7))),and(t5,not(or(sum,t1)))) )],[refute_0_26032,refute_0_26033]) ).
cnf(refute_0_26035,plain,
and(t5,xor(t1,or(t1,t7))) = not(or(cin,t1)),
inference(resolve,[$cnf( $equal(and(t5,not(or(sum,t1))),not(or(cin,t1))) )],[refute_0_26009,refute_0_26034]) ).
cnf(refute_0_26036,plain,
( and(t5,xor(t1,or(t1,t7))) != not(or(cin,t1))
| and(t5,xor(t1,or(t1,t7))) != xor(t1,or(t1,t7))
| not(or(cin,t1)) = xor(t1,or(t1,t7)) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,xor(t1,or(t1,t7))),xor(t1,or(t1,t7))) ),[0],$fot(not(or(cin,t1)))]]) ).
cnf(refute_0_26037,plain,
( and(t5,xor(t1,or(t1,t7))) != xor(t1,or(t1,t7))
| not(or(cin,t1)) = xor(t1,or(t1,t7)) ),
inference(resolve,[$cnf( $equal(and(t5,xor(t1,or(t1,t7))),not(or(cin,t1))) )],[refute_0_26035,refute_0_26036]) ).
cnf(refute_0_26038,plain,
( not(or(cin,t1)) != xor(t1,or(t1,t7))
| xor(t1,or(t1,t7)) != not(or(sum,t1))
| not(or(cin,t1)) = not(or(sum,t1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(or(cin,t1)),not(or(sum,t1))) ),[0],$fot(xor(t1,or(t1,t7)))]]) ).
cnf(refute_0_26039,plain,
( not(or(cin,t1)) != xor(t1,or(t1,t7))
| not(or(cin,t1)) = not(or(sum,t1)) ),
inference(resolve,[$cnf( $equal(xor(t1,or(t1,t7)),not(or(sum,t1))) )],[refute_0_26028,refute_0_26038]) ).
cnf(refute_0_26040,plain,
( and(t5,xor(t1,or(t1,t7))) != xor(t1,or(t1,t7))
| not(or(cin,t1)) = not(or(sum,t1)) ),
inference(resolve,[$cnf( $equal(not(or(cin,t1)),xor(t1,or(t1,t7))) )],[refute_0_26037,refute_0_26039]) ).
cnf(refute_0_26041,plain,
not(or(cin,t1)) = not(or(sum,t1)),
inference(resolve,[$cnf( $equal(and(t5,xor(t1,or(t1,t7))),xor(t1,or(t1,t7))) )],[refute_0_26000,refute_0_26040]) ).
cnf(refute_0_26042,plain,
( not(or(cin,t1)) != not(or(sum,t1))
| not(or(sum,t1)) = not(or(cin,t1)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(cin,t1)))),bind(Y0,$fot(not(or(sum,t1))))]]) ).
cnf(refute_0_26043,plain,
not(or(sum,t1)) = not(or(cin,t1)),
inference(resolve,[$cnf( $equal(not(or(cin,t1)),not(or(sum,t1))) )],[refute_0_26041,refute_0_26042]) ).
cnf(refute_0_26044,plain,
( not(or(sum,t1)) != not(or(cin,t1))
| xor(t1,or(t1,t7)) != not(or(sum,t1))
| xor(t1,or(t1,t7)) = not(or(cin,t1)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(t1,or(t1,t7)))),bind(Y0,$fot(not(or(sum,t1)))),bind(Z0,$fot(not(or(cin,t1))))]]) ).
cnf(refute_0_26045,plain,
( not(or(sum,t1)) != not(or(cin,t1))
| xor(t1,or(t1,t7)) = not(or(cin,t1)) ),
inference(resolve,[$cnf( $equal(xor(t1,or(t1,t7)),not(or(sum,t1))) )],[refute_0_26028,refute_0_26044]) ).
cnf(refute_0_26046,plain,
xor(t1,or(t1,t7)) = not(or(cin,t1)),
inference(resolve,[$cnf( $equal(not(or(sum,t1)),not(or(cin,t1))) )],[refute_0_26043,refute_0_26045]) ).
cnf(refute_0_26047,plain,
not(xor(t1,or(t1,t7))) = not(xor(t1,or(t1,t7))),
introduced(tautology,[refl,[$fot(not(xor(t1,or(t1,t7))))]]) ).
cnf(refute_0_26048,plain,
( not(xor(t1,or(t1,t7))) != not(xor(t1,or(t1,t7)))
| xor(t1,or(t1,t7)) != not(or(cin,t1))
| not(xor(t1,or(t1,t7))) = not(not(or(cin,t1))) ),
introduced(tautology,[equality,[$cnf( $equal(not(xor(t1,or(t1,t7))),not(xor(t1,or(t1,t7)))) ),[1,0],$fot(not(or(cin,t1)))]]) ).
cnf(refute_0_26049,plain,
( xor(t1,or(t1,t7)) != not(or(cin,t1))
| not(xor(t1,or(t1,t7))) = not(not(or(cin,t1))) ),
inference(resolve,[$cnf( $equal(not(xor(t1,or(t1,t7))),not(xor(t1,or(t1,t7)))) )],[refute_0_26047,refute_0_26048]) ).
cnf(refute_0_26050,plain,
not(xor(t1,or(t1,t7))) = not(not(or(cin,t1))),
inference(resolve,[$cnf( $equal(xor(t1,or(t1,t7)),not(or(cin,t1))) )],[refute_0_26046,refute_0_26049]) ).
cnf(refute_0_26051,plain,
( not(not(or(cin,t1))) != or(cin,t1)
| not(xor(t1,or(t1,t7))) != not(not(or(cin,t1)))
| not(xor(t1,or(t1,t7))) = or(cin,t1) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(not(xor(t1,or(t1,t7))))),bind(Y0,$fot(not(not(or(cin,t1))))),bind(Z0,$fot(or(cin,t1)))]]) ).
cnf(refute_0_26052,plain,
( not(not(or(cin,t1))) != or(cin,t1)
| not(xor(t1,or(t1,t7))) = or(cin,t1) ),
inference(resolve,[$cnf( $equal(not(xor(t1,or(t1,t7))),not(not(or(cin,t1)))) )],[refute_0_26050,refute_0_26051]) ).
cnf(refute_0_26053,plain,
not(xor(t1,or(t1,t7))) = or(cin,t1),
inference(resolve,[$cnf( $equal(not(not(or(cin,t1))),or(cin,t1)) )],[refute_0_25953,refute_0_26052]) ).
cnf(refute_0_26054,plain,
( not(xor(t1,or(t1,t7))) != or(cin,t1)
| or(sum,t1) != not(xor(t1,or(t1,t7)))
| or(sum,t1) = or(cin,t1) ),
introduced(tautology,[equality,[$cnf( $equal(or(sum,t1),not(xor(t1,or(t1,t7)))) ),[1],$fot(or(cin,t1))]]) ).
cnf(refute_0_26055,plain,
( or(sum,t1) != not(xor(t1,or(t1,t7)))
| or(sum,t1) = or(cin,t1) ),
inference(resolve,[$cnf( $equal(not(xor(t1,or(t1,t7))),or(cin,t1)) )],[refute_0_26053,refute_0_26054]) ).
cnf(refute_0_26056,plain,
or(sum,t1) = or(cin,t1),
inference(resolve,[$cnf( $equal(or(sum,t1),not(xor(t1,or(t1,t7)))) )],[refute_0_25952,refute_0_26055]) ).
cnf(refute_0_26057,plain,
( not(xor(carry,and(carry_def,cin))) != or(sum,t1)
| or(sum,t1) != or(cin,t1)
| not(xor(carry,and(carry_def,cin))) = or(cin,t1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(xor(carry,and(carry_def,cin))),or(cin,t1)) ),[0],$fot(or(sum,t1))]]) ).
cnf(refute_0_26058,plain,
( not(xor(carry,and(carry_def,cin))) != or(sum,t1)
| not(xor(carry,and(carry_def,cin))) = or(cin,t1) ),
inference(resolve,[$cnf( $equal(or(sum,t1),or(cin,t1)) )],[refute_0_26056,refute_0_26057]) ).
cnf(refute_0_26059,plain,
not(xor(carry,and(carry_def,cin))) = or(cin,t1),
inference(resolve,[$cnf( $equal(not(xor(carry,and(carry_def,cin))),or(sum,t1)) )],[refute_0_16592,refute_0_26058]) ).
cnf(refute_0_26060,plain,
( not(xor(carry,and(carry_def,cin))) != or(cin,t1)
| or(and(xor(carry,and(carry_def,cin)),not(Y)),and(not(xor(carry,and(carry_def,cin))),Y)) != xor(xor(carry,and(carry_def,cin)),Y)
| or(and(xor(carry,and(carry_def,cin)),not(Y)),and(or(cin,t1),Y)) = xor(xor(carry,and(carry_def,cin)),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(carry,and(carry_def,cin)),not(Y)),and(not(xor(carry,and(carry_def,cin))),Y)),xor(xor(carry,and(carry_def,cin)),Y)) ),[0,1,0],$fot(or(cin,t1))]]) ).
cnf(refute_0_26061,plain,
( or(and(xor(carry,and(carry_def,cin)),not(Y)),and(not(xor(carry,and(carry_def,cin))),Y)) != xor(xor(carry,and(carry_def,cin)),Y)
| or(and(xor(carry,and(carry_def,cin)),not(Y)),and(or(cin,t1),Y)) = xor(xor(carry,and(carry_def,cin)),Y) ),
inference(resolve,[$cnf( $equal(not(xor(carry,and(carry_def,cin))),or(cin,t1)) )],[refute_0_26059,refute_0_26060]) ).
cnf(refute_0_26062,plain,
or(and(xor(carry,and(carry_def,cin)),not(Y)),and(or(cin,t1),Y)) = xor(xor(carry,and(carry_def,cin)),Y),
inference(resolve,[$cnf( $equal(or(and(xor(carry,and(carry_def,cin)),not(Y)),and(not(xor(carry,and(carry_def,cin))),Y)),xor(xor(carry,and(carry_def,cin)),Y)) )],[refute_0_16493,refute_0_26061]) ).
cnf(refute_0_26063,plain,
or(and(xor(carry,and(carry_def,cin)),not(Y)),and(or(cin,t1),Y)) = or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))),
inference(subst,[],[refute_0_5:[bind(X,$fot(and(or(cin,t1),Y))),bind(Y,$fot(and(xor(carry,and(carry_def,cin)),not(Y))))]]) ).
cnf(refute_0_26064,plain,
( or(and(xor(carry,and(carry_def,cin)),not(Y)),and(or(cin,t1),Y)) != or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y)))
| or(and(xor(carry,and(carry_def,cin)),not(Y)),and(or(cin,t1),Y)) != xor(xor(carry,and(carry_def,cin)),Y)
| or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))) = xor(xor(carry,and(carry_def,cin)),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(carry,and(carry_def,cin)),not(Y)),and(or(cin,t1),Y)),xor(xor(carry,and(carry_def,cin)),Y)) ),[0],$fot(or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))))]]) ).
cnf(refute_0_26065,plain,
( or(and(xor(carry,and(carry_def,cin)),not(Y)),and(or(cin,t1),Y)) != xor(xor(carry,and(carry_def,cin)),Y)
| or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))) = xor(xor(carry,and(carry_def,cin)),Y) ),
inference(resolve,[$cnf( $equal(or(and(xor(carry,and(carry_def,cin)),not(Y)),and(or(cin,t1),Y)),or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y)))) )],[refute_0_26063,refute_0_26064]) ).
cnf(refute_0_26066,plain,
xor(xor(carry,and(carry_def,cin)),Y) = xor(carry,xor(and(carry_def,cin),Y)),
inference(subst,[],[refute_0_526:[bind(X,$fot(carry)),bind(Y,$fot(and(carry_def,cin))),bind(Z,$fot(Y))]]) ).
cnf(refute_0_26067,plain,
( or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))) != xor(xor(carry,and(carry_def,cin)),Y)
| xor(xor(carry,and(carry_def,cin)),Y) != xor(carry,xor(and(carry_def,cin),Y))
| or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))) = xor(carry,xor(and(carry_def,cin),Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))),xor(carry,xor(and(carry_def,cin),Y))) ),[0],$fot(xor(xor(carry,and(carry_def,cin)),Y))]]) ).
cnf(refute_0_26068,plain,
( or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))) != xor(xor(carry,and(carry_def,cin)),Y)
| or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))) = xor(carry,xor(and(carry_def,cin),Y)) ),
inference(resolve,[$cnf( $equal(xor(xor(carry,and(carry_def,cin)),Y),xor(carry,xor(and(carry_def,cin),Y))) )],[refute_0_26066,refute_0_26067]) ).
cnf(refute_0_26069,plain,
( or(and(xor(carry,and(carry_def,cin)),not(Y)),and(or(cin,t1),Y)) != xor(xor(carry,and(carry_def,cin)),Y)
| or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))) = xor(carry,xor(and(carry_def,cin),Y)) ),
inference(resolve,[$cnf( $equal(or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))),xor(xor(carry,and(carry_def,cin)),Y)) )],[refute_0_26065,refute_0_26068]) ).
cnf(refute_0_26070,plain,
or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))) = xor(carry,xor(and(carry_def,cin),Y)),
inference(resolve,[$cnf( $equal(or(and(xor(carry,and(carry_def,cin)),not(Y)),and(or(cin,t1),Y)),xor(xor(carry,and(carry_def,cin)),Y)) )],[refute_0_26062,refute_0_26069]) ).
cnf(refute_0_26071,plain,
or(and(xor(carry_def,and(carry_def,cin)),not(Y)),and(not(xor(carry_def,and(carry_def,cin))),Y)) = xor(xor(carry_def,and(carry_def,cin)),Y),
inference(subst,[],[refute_0_9:[bind(X,$fot(xor(carry_def,and(carry_def,cin))))]]) ).
cnf(refute_0_26072,plain,
xor(carry_def,xor(carry_def,or(cin,t1))) = or(cin,t1),
inference(subst,[],[refute_0_88:[bind(X_334,$fot(carry_def)),bind(X_335,$fot(or(cin,t1)))]]) ).
cnf(refute_0_26073,plain,
not(and(carry_def,or(cin,t1))) = not(and(carry_def,or(cin,t1))),
introduced(tautology,[refl,[$fot(not(and(carry_def,or(cin,t1))))]]) ).
cnf(refute_0_26074,plain,
( and(carry_def,or(cin,t1)) != and(carry_def,cin)
| not(and(carry_def,or(cin,t1))) != not(and(carry_def,or(cin,t1)))
| not(and(carry_def,or(cin,t1))) = not(and(carry_def,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(carry_def,or(cin,t1))),not(and(carry_def,or(cin,t1)))) ),[1,0],$fot(and(carry_def,cin))]]) ).
cnf(refute_0_26075,plain,
( and(carry_def,or(cin,t1)) != and(carry_def,cin)
| not(and(carry_def,or(cin,t1))) = not(and(carry_def,cin)) ),
inference(resolve,[$cnf( $equal(not(and(carry_def,or(cin,t1))),not(and(carry_def,or(cin,t1)))) )],[refute_0_26073,refute_0_26074]) ).
cnf(refute_0_26076,plain,
not(and(carry_def,or(cin,t1))) = not(and(carry_def,cin)),
inference(resolve,[$cnf( $equal(and(carry_def,or(cin,t1)),and(carry_def,cin)) )],[refute_0_3902,refute_0_26075]) ).
cnf(refute_0_26077,plain,
( not(and(carry_def,or(cin,t1))) != not(and(carry_def,cin))
| not(and(carry_def,or(cin,t1))) != xor(carry_def,or(cin,t1))
| not(and(carry_def,cin)) = xor(carry_def,or(cin,t1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(carry_def,or(cin,t1))),xor(carry_def,or(cin,t1))) ),[0],$fot(not(and(carry_def,cin)))]]) ).
cnf(refute_0_26078,plain,
( not(and(carry_def,or(cin,t1))) != xor(carry_def,or(cin,t1))
| not(and(carry_def,cin)) = xor(carry_def,or(cin,t1)) ),
inference(resolve,[$cnf( $equal(not(and(carry_def,or(cin,t1))),not(and(carry_def,cin))) )],[refute_0_26076,refute_0_26077]) ).
cnf(refute_0_26079,plain,
not(and(carry_def,cin)) = xor(carry_def,or(cin,t1)),
inference(resolve,[$cnf( $equal(not(and(carry_def,or(cin,t1))),xor(carry_def,or(cin,t1))) )],[refute_0_3177,refute_0_26078]) ).
cnf(refute_0_26080,plain,
( not(and(carry_def,cin)) != xor(carry_def,or(cin,t1))
| xor(carry_def,or(cin,t1)) = not(and(carry_def,cin)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(and(carry_def,cin)))),bind(Y0,$fot(xor(carry_def,or(cin,t1))))]]) ).
cnf(refute_0_26081,plain,
xor(carry_def,or(cin,t1)) = not(and(carry_def,cin)),
inference(resolve,[$cnf( $equal(not(and(carry_def,cin)),xor(carry_def,or(cin,t1))) )],[refute_0_26079,refute_0_26080]) ).
cnf(refute_0_26082,plain,
( xor(carry_def,or(cin,t1)) != not(and(carry_def,cin))
| xor(carry_def,xor(carry_def,or(cin,t1))) != or(cin,t1)
| xor(carry_def,not(and(carry_def,cin))) = or(cin,t1) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry_def,xor(carry_def,or(cin,t1))),or(cin,t1)) ),[0,1],$fot(not(and(carry_def,cin)))]]) ).
cnf(refute_0_26083,plain,
( xor(carry_def,xor(carry_def,or(cin,t1))) != or(cin,t1)
| xor(carry_def,not(and(carry_def,cin))) = or(cin,t1) ),
inference(resolve,[$cnf( $equal(xor(carry_def,or(cin,t1)),not(and(carry_def,cin))) )],[refute_0_26081,refute_0_26082]) ).
cnf(refute_0_26084,plain,
xor(carry_def,not(and(carry_def,cin))) = or(cin,t1),
inference(resolve,[$cnf( $equal(xor(carry_def,xor(carry_def,or(cin,t1))),or(cin,t1)) )],[refute_0_26072,refute_0_26083]) ).
cnf(refute_0_26085,plain,
xor(carry_def,not(and(carry_def,cin))) = not(xor(carry_def,and(carry_def,cin))),
inference(subst,[],[refute_0_1139:[bind(X_333,$fot(carry_def)),bind(X_334,$fot(and(carry_def,cin)))]]) ).
cnf(refute_0_26086,plain,
( xor(carry_def,not(and(carry_def,cin))) != not(xor(carry_def,and(carry_def,cin)))
| xor(carry_def,not(and(carry_def,cin))) != or(cin,t1)
| not(xor(carry_def,and(carry_def,cin))) = or(cin,t1) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry_def,not(and(carry_def,cin))),or(cin,t1)) ),[0],$fot(not(xor(carry_def,and(carry_def,cin))))]]) ).
cnf(refute_0_26087,plain,
( xor(carry_def,not(and(carry_def,cin))) != or(cin,t1)
| not(xor(carry_def,and(carry_def,cin))) = or(cin,t1) ),
inference(resolve,[$cnf( $equal(xor(carry_def,not(and(carry_def,cin))),not(xor(carry_def,and(carry_def,cin)))) )],[refute_0_26085,refute_0_26086]) ).
cnf(refute_0_26088,plain,
not(xor(carry_def,and(carry_def,cin))) = or(cin,t1),
inference(resolve,[$cnf( $equal(xor(carry_def,not(and(carry_def,cin))),or(cin,t1)) )],[refute_0_26084,refute_0_26087]) ).
cnf(refute_0_26089,plain,
( not(xor(carry_def,and(carry_def,cin))) != or(cin,t1)
| or(and(xor(carry_def,and(carry_def,cin)),not(Y)),and(not(xor(carry_def,and(carry_def,cin))),Y)) != xor(xor(carry_def,and(carry_def,cin)),Y)
| or(and(xor(carry_def,and(carry_def,cin)),not(Y)),and(or(cin,t1),Y)) = xor(xor(carry_def,and(carry_def,cin)),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(carry_def,and(carry_def,cin)),not(Y)),and(not(xor(carry_def,and(carry_def,cin))),Y)),xor(xor(carry_def,and(carry_def,cin)),Y)) ),[0,1,0],$fot(or(cin,t1))]]) ).
cnf(refute_0_26090,plain,
( or(and(xor(carry_def,and(carry_def,cin)),not(Y)),and(not(xor(carry_def,and(carry_def,cin))),Y)) != xor(xor(carry_def,and(carry_def,cin)),Y)
| or(and(xor(carry_def,and(carry_def,cin)),not(Y)),and(or(cin,t1),Y)) = xor(xor(carry_def,and(carry_def,cin)),Y) ),
inference(resolve,[$cnf( $equal(not(xor(carry_def,and(carry_def,cin))),or(cin,t1)) )],[refute_0_26088,refute_0_26089]) ).
cnf(refute_0_26091,plain,
or(and(xor(carry_def,and(carry_def,cin)),not(Y)),and(or(cin,t1),Y)) = xor(xor(carry_def,and(carry_def,cin)),Y),
inference(resolve,[$cnf( $equal(or(and(xor(carry_def,and(carry_def,cin)),not(Y)),and(not(xor(carry_def,and(carry_def,cin))),Y)),xor(xor(carry_def,and(carry_def,cin)),Y)) )],[refute_0_26071,refute_0_26090]) ).
cnf(refute_0_26092,plain,
or(and(xor(carry_def,and(carry_def,cin)),not(Y)),and(or(cin,t1),Y)) = or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y))),
inference(subst,[],[refute_0_5:[bind(X,$fot(and(or(cin,t1),Y))),bind(Y,$fot(and(xor(carry_def,and(carry_def,cin)),not(Y))))]]) ).
cnf(refute_0_26093,plain,
( or(and(xor(carry_def,and(carry_def,cin)),not(Y)),and(or(cin,t1),Y)) != or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y)))
| or(and(xor(carry_def,and(carry_def,cin)),not(Y)),and(or(cin,t1),Y)) != xor(xor(carry_def,and(carry_def,cin)),Y)
| or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y))) = xor(xor(carry_def,and(carry_def,cin)),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(xor(carry_def,and(carry_def,cin)),not(Y)),and(or(cin,t1),Y)),xor(xor(carry_def,and(carry_def,cin)),Y)) ),[0],$fot(or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y))))]]) ).
cnf(refute_0_26094,plain,
( or(and(xor(carry_def,and(carry_def,cin)),not(Y)),and(or(cin,t1),Y)) != xor(xor(carry_def,and(carry_def,cin)),Y)
| or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y))) = xor(xor(carry_def,and(carry_def,cin)),Y) ),
inference(resolve,[$cnf( $equal(or(and(xor(carry_def,and(carry_def,cin)),not(Y)),and(or(cin,t1),Y)),or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y)))) )],[refute_0_26092,refute_0_26093]) ).
cnf(refute_0_26095,plain,
xor(xor(carry_def,and(carry_def,cin)),Y) = xor(carry_def,xor(and(carry_def,cin),Y)),
inference(subst,[],[refute_0_526:[bind(X,$fot(carry_def)),bind(Y,$fot(and(carry_def,cin))),bind(Z,$fot(Y))]]) ).
cnf(refute_0_26096,plain,
( or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y))) != xor(xor(carry_def,and(carry_def,cin)),Y)
| xor(xor(carry_def,and(carry_def,cin)),Y) != xor(carry_def,xor(and(carry_def,cin),Y))
| or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y))) = xor(carry_def,xor(and(carry_def,cin),Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y))),xor(carry_def,xor(and(carry_def,cin),Y))) ),[0],$fot(xor(xor(carry_def,and(carry_def,cin)),Y))]]) ).
cnf(refute_0_26097,plain,
( or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y))) != xor(xor(carry_def,and(carry_def,cin)),Y)
| or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y))) = xor(carry_def,xor(and(carry_def,cin),Y)) ),
inference(resolve,[$cnf( $equal(xor(xor(carry_def,and(carry_def,cin)),Y),xor(carry_def,xor(and(carry_def,cin),Y))) )],[refute_0_26095,refute_0_26096]) ).
cnf(refute_0_26098,plain,
( or(and(xor(carry_def,and(carry_def,cin)),not(Y)),and(or(cin,t1),Y)) != xor(xor(carry_def,and(carry_def,cin)),Y)
| or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y))) = xor(carry_def,xor(and(carry_def,cin),Y)) ),
inference(resolve,[$cnf( $equal(or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y))),xor(xor(carry_def,and(carry_def,cin)),Y)) )],[refute_0_26094,refute_0_26097]) ).
cnf(refute_0_26099,plain,
or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y))) = xor(carry_def,xor(and(carry_def,cin),Y)),
inference(resolve,[$cnf( $equal(or(and(xor(carry_def,and(carry_def,cin)),not(Y)),and(or(cin,t1),Y)),xor(xor(carry_def,and(carry_def,cin)),Y)) )],[refute_0_26091,refute_0_26098]) ).
cnf(refute_0_26100,plain,
not(or(not(xor(carry_def,and(carry_def,cin))),X_26)) = and(xor(carry_def,and(carry_def,cin)),not(X_26)),
inference(subst,[],[refute_0_159:[bind(X,$fot(xor(carry_def,and(carry_def,cin))))]]) ).
cnf(refute_0_26101,plain,
( not(or(not(xor(carry_def,and(carry_def,cin))),X_26)) != and(xor(carry_def,and(carry_def,cin)),not(X_26))
| not(xor(carry_def,and(carry_def,cin))) != or(cin,t1)
| not(or(or(cin,t1),X_26)) = and(xor(carry_def,and(carry_def,cin)),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(xor(carry_def,and(carry_def,cin))),X_26)),and(xor(carry_def,and(carry_def,cin)),not(X_26))) ),[0,0,0],$fot(or(cin,t1))]]) ).
cnf(refute_0_26102,plain,
( not(or(not(xor(carry_def,and(carry_def,cin))),X_26)) != and(xor(carry_def,and(carry_def,cin)),not(X_26))
| not(or(or(cin,t1),X_26)) = and(xor(carry_def,and(carry_def,cin)),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(xor(carry_def,and(carry_def,cin))),or(cin,t1)) )],[refute_0_26088,refute_0_26101]) ).
cnf(refute_0_26103,plain,
not(or(or(cin,t1),X_26)) = and(xor(carry_def,and(carry_def,cin)),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(not(xor(carry_def,and(carry_def,cin))),X_26)),and(xor(carry_def,and(carry_def,cin)),not(X_26))) )],[refute_0_26100,refute_0_26102]) ).
cnf(refute_0_26104,plain,
or(or(cin,t1),X_26) = or(cin,or(t1,X_26)),
inference(subst,[],[or_associative:[bind(X,$fot(cin)),bind(Y,$fot(t1)),bind(Z,$fot(X_26))]]) ).
cnf(refute_0_26105,plain,
not(or(or(cin,t1),X_26)) = not(or(or(cin,t1),X_26)),
introduced(tautology,[refl,[$fot(not(or(or(cin,t1),X_26)))]]) ).
cnf(refute_0_26106,plain,
( not(or(or(cin,t1),X_26)) != not(or(or(cin,t1),X_26))
| or(or(cin,t1),X_26) != or(cin,or(t1,X_26))
| not(or(or(cin,t1),X_26)) = not(or(cin,or(t1,X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(or(cin,t1),X_26)),not(or(or(cin,t1),X_26))) ),[1,0],$fot(or(cin,or(t1,X_26)))]]) ).
cnf(refute_0_26107,plain,
( or(or(cin,t1),X_26) != or(cin,or(t1,X_26))
| not(or(or(cin,t1),X_26)) = not(or(cin,or(t1,X_26))) ),
inference(resolve,[$cnf( $equal(not(or(or(cin,t1),X_26)),not(or(or(cin,t1),X_26))) )],[refute_0_26105,refute_0_26106]) ).
cnf(refute_0_26108,plain,
not(or(or(cin,t1),X_26)) = not(or(cin,or(t1,X_26))),
inference(resolve,[$cnf( $equal(or(or(cin,t1),X_26),or(cin,or(t1,X_26))) )],[refute_0_26104,refute_0_26107]) ).
cnf(refute_0_26109,plain,
( not(or(or(cin,t1),X_26)) != and(xor(carry_def,and(carry_def,cin)),not(X_26))
| not(or(or(cin,t1),X_26)) != not(or(cin,or(t1,X_26)))
| not(or(cin,or(t1,X_26))) = and(xor(carry_def,and(carry_def,cin)),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(or(cin,t1),X_26)),and(xor(carry_def,and(carry_def,cin)),not(X_26))) ),[0],$fot(not(or(cin,or(t1,X_26))))]]) ).
cnf(refute_0_26110,plain,
( not(or(or(cin,t1),X_26)) != and(xor(carry_def,and(carry_def,cin)),not(X_26))
| not(or(cin,or(t1,X_26))) = and(xor(carry_def,and(carry_def,cin)),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(or(or(cin,t1),X_26)),not(or(cin,or(t1,X_26)))) )],[refute_0_26108,refute_0_26109]) ).
cnf(refute_0_26111,plain,
not(or(cin,or(t1,X_26))) = and(xor(carry_def,and(carry_def,cin)),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(or(cin,t1),X_26)),and(xor(carry_def,and(carry_def,cin)),not(X_26))) )],[refute_0_26103,refute_0_26110]) ).
cnf(refute_0_26112,plain,
( not(or(cin,or(t1,X_26))) != and(xor(carry_def,and(carry_def,cin)),not(X_26))
| and(xor(carry_def,and(carry_def,cin)),not(X_26)) = not(or(cin,or(t1,X_26))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(cin,or(t1,X_26))))),bind(Y0,$fot(and(xor(carry_def,and(carry_def,cin)),not(X_26))))]]) ).
cnf(refute_0_26113,plain,
and(xor(carry_def,and(carry_def,cin)),not(X_26)) = not(or(cin,or(t1,X_26))),
inference(resolve,[$cnf( $equal(not(or(cin,or(t1,X_26))),and(xor(carry_def,and(carry_def,cin)),not(X_26))) )],[refute_0_26111,refute_0_26112]) ).
cnf(refute_0_26114,plain,
and(xor(carry_def,and(carry_def,cin)),not(Y)) = not(or(cin,or(t1,Y))),
inference(subst,[],[refute_0_26113:[bind(X_26,$fot(Y))]]) ).
cnf(refute_0_26115,plain,
or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y))) = or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y))),
introduced(tautology,[refl,[$fot(or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y))))]]) ).
cnf(refute_0_26116,plain,
( and(xor(carry_def,and(carry_def,cin)),not(Y)) != not(or(cin,or(t1,Y)))
| or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y))) != or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y)))
| or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y))) = or(and(or(cin,t1),Y),not(or(cin,or(t1,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y))),or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y)))) ),[1,1],$fot(not(or(cin,or(t1,Y))))]]) ).
cnf(refute_0_26117,plain,
( and(xor(carry_def,and(carry_def,cin)),not(Y)) != not(or(cin,or(t1,Y)))
| or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y))) = or(and(or(cin,t1),Y),not(or(cin,or(t1,Y)))) ),
inference(resolve,[$cnf( $equal(or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y))),or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y)))) )],[refute_0_26115,refute_0_26116]) ).
cnf(refute_0_26118,plain,
or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y))) = or(and(or(cin,t1),Y),not(or(cin,or(t1,Y)))),
inference(resolve,[$cnf( $equal(and(xor(carry_def,and(carry_def,cin)),not(Y)),not(or(cin,or(t1,Y)))) )],[refute_0_26114,refute_0_26117]) ).
cnf(refute_0_26119,plain,
( or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y))) != or(and(or(cin,t1),Y),not(or(cin,or(t1,Y))))
| or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y))) != xor(carry_def,xor(and(carry_def,cin),Y))
| or(and(or(cin,t1),Y),not(or(cin,or(t1,Y)))) = xor(carry_def,xor(and(carry_def,cin),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y))),xor(carry_def,xor(and(carry_def,cin),Y))) ),[0],$fot(or(and(or(cin,t1),Y),not(or(cin,or(t1,Y)))))]]) ).
cnf(refute_0_26120,plain,
( or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y))) != xor(carry_def,xor(and(carry_def,cin),Y))
| or(and(or(cin,t1),Y),not(or(cin,or(t1,Y)))) = xor(carry_def,xor(and(carry_def,cin),Y)) ),
inference(resolve,[$cnf( $equal(or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y))),or(and(or(cin,t1),Y),not(or(cin,or(t1,Y))))) )],[refute_0_26118,refute_0_26119]) ).
cnf(refute_0_26121,plain,
or(and(or(cin,t1),Y),not(or(cin,or(t1,Y)))) = xor(carry_def,xor(and(carry_def,cin),Y)),
inference(resolve,[$cnf( $equal(or(and(or(cin,t1),Y),and(xor(carry_def,and(carry_def,cin)),not(Y))),xor(carry_def,xor(and(carry_def,cin),Y))) )],[refute_0_26099,refute_0_26120]) ).
cnf(refute_0_26122,plain,
xor(carry_def,xor(and(carry_def,cin),Z)) = xor(xor(carry_def,and(carry_def,cin)),Z),
inference(subst,[],[xor_associative:[bind(X,$fot(carry_def)),bind(Y,$fot(and(carry_def,cin)))]]) ).
cnf(refute_0_26123,plain,
not(not(xor(carry_def,and(carry_def,cin)))) = xor(carry_def,and(carry_def,cin)),
inference(subst,[],[not_involution:[bind(X,$fot(xor(carry_def,and(carry_def,cin))))]]) ).
cnf(refute_0_26124,plain,
( not(not(xor(carry_def,and(carry_def,cin)))) != xor(carry_def,and(carry_def,cin))
| not(xor(carry_def,and(carry_def,cin))) != or(cin,t1)
| not(or(cin,t1)) = xor(carry_def,and(carry_def,cin)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(xor(carry_def,and(carry_def,cin)))),xor(carry_def,and(carry_def,cin))) ),[0,0],$fot(or(cin,t1))]]) ).
cnf(refute_0_26125,plain,
( not(not(xor(carry_def,and(carry_def,cin)))) != xor(carry_def,and(carry_def,cin))
| not(or(cin,t1)) = xor(carry_def,and(carry_def,cin)) ),
inference(resolve,[$cnf( $equal(not(xor(carry_def,and(carry_def,cin))),or(cin,t1)) )],[refute_0_26088,refute_0_26124]) ).
cnf(refute_0_26126,plain,
not(or(cin,t1)) = xor(carry_def,and(carry_def,cin)),
inference(resolve,[$cnf( $equal(not(not(xor(carry_def,and(carry_def,cin)))),xor(carry_def,and(carry_def,cin))) )],[refute_0_26123,refute_0_26125]) ).
cnf(refute_0_26127,plain,
( not(or(cin,t1)) != xor(carry_def,and(carry_def,cin))
| xor(carry_def,and(carry_def,cin)) = not(or(cin,t1)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(cin,t1)))),bind(Y0,$fot(xor(carry_def,and(carry_def,cin))))]]) ).
cnf(refute_0_26128,plain,
xor(carry_def,and(carry_def,cin)) = not(or(cin,t1)),
inference(resolve,[$cnf( $equal(not(or(cin,t1)),xor(carry_def,and(carry_def,cin))) )],[refute_0_26126,refute_0_26127]) ).
cnf(refute_0_26129,plain,
( xor(carry_def,and(carry_def,cin)) != not(or(cin,t1))
| xor(carry_def,xor(and(carry_def,cin),Z)) != xor(xor(carry_def,and(carry_def,cin)),Z)
| xor(carry_def,xor(and(carry_def,cin),Z)) = xor(not(or(cin,t1)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry_def,xor(and(carry_def,cin),Z)),xor(xor(carry_def,and(carry_def,cin)),Z)) ),[1,0],$fot(not(or(cin,t1)))]]) ).
cnf(refute_0_26130,plain,
( xor(carry_def,xor(and(carry_def,cin),Z)) != xor(xor(carry_def,and(carry_def,cin)),Z)
| xor(carry_def,xor(and(carry_def,cin),Z)) = xor(not(or(cin,t1)),Z) ),
inference(resolve,[$cnf( $equal(xor(carry_def,and(carry_def,cin)),not(or(cin,t1))) )],[refute_0_26128,refute_0_26129]) ).
cnf(refute_0_26131,plain,
xor(carry_def,xor(and(carry_def,cin),Z)) = xor(not(or(cin,t1)),Z),
inference(resolve,[$cnf( $equal(xor(carry_def,xor(and(carry_def,cin),Z)),xor(xor(carry_def,and(carry_def,cin)),Z)) )],[refute_0_26122,refute_0_26130]) ).
cnf(refute_0_26132,plain,
xor(not(or(cin,t1)),Z) = not(xor(or(cin,t1),Z)),
inference(subst,[],[refute_0_2075:[bind(Y,$fot(Z)),bind(X_63,$fot(or(cin,t1)))]]) ).
cnf(refute_0_26133,plain,
( xor(carry_def,xor(and(carry_def,cin),Z)) != xor(not(or(cin,t1)),Z)
| xor(not(or(cin,t1)),Z) != not(xor(or(cin,t1),Z))
| xor(carry_def,xor(and(carry_def,cin),Z)) = not(xor(or(cin,t1),Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(xor(carry_def,xor(and(carry_def,cin),Z)),not(xor(or(cin,t1),Z))) ),[0],$fot(xor(not(or(cin,t1)),Z))]]) ).
cnf(refute_0_26134,plain,
( xor(carry_def,xor(and(carry_def,cin),Z)) != xor(not(or(cin,t1)),Z)
| xor(carry_def,xor(and(carry_def,cin),Z)) = not(xor(or(cin,t1),Z)) ),
inference(resolve,[$cnf( $equal(xor(not(or(cin,t1)),Z),not(xor(or(cin,t1),Z))) )],[refute_0_26132,refute_0_26133]) ).
cnf(refute_0_26135,plain,
xor(carry_def,xor(and(carry_def,cin),Z)) = not(xor(or(cin,t1),Z)),
inference(resolve,[$cnf( $equal(xor(carry_def,xor(and(carry_def,cin),Z)),xor(not(or(cin,t1)),Z)) )],[refute_0_26131,refute_0_26134]) ).
cnf(refute_0_26136,plain,
xor(carry_def,xor(and(carry_def,cin),Y)) = not(xor(or(cin,t1),Y)),
inference(subst,[],[refute_0_26135:[bind(Z,$fot(Y))]]) ).
cnf(refute_0_26137,plain,
( or(and(or(cin,t1),Y),not(or(cin,or(t1,Y)))) != xor(carry_def,xor(and(carry_def,cin),Y))
| xor(carry_def,xor(and(carry_def,cin),Y)) != not(xor(or(cin,t1),Y))
| or(and(or(cin,t1),Y),not(or(cin,or(t1,Y)))) = not(xor(or(cin,t1),Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(and(or(cin,t1),Y),not(or(cin,or(t1,Y)))),not(xor(or(cin,t1),Y))) ),[0],$fot(xor(carry_def,xor(and(carry_def,cin),Y)))]]) ).
cnf(refute_0_26138,plain,
( or(and(or(cin,t1),Y),not(or(cin,or(t1,Y)))) != xor(carry_def,xor(and(carry_def,cin),Y))
| or(and(or(cin,t1),Y),not(or(cin,or(t1,Y)))) = not(xor(or(cin,t1),Y)) ),
inference(resolve,[$cnf( $equal(xor(carry_def,xor(and(carry_def,cin),Y)),not(xor(or(cin,t1),Y))) )],[refute_0_26136,refute_0_26137]) ).
cnf(refute_0_26139,plain,
or(and(or(cin,t1),Y),not(or(cin,or(t1,Y)))) = not(xor(or(cin,t1),Y)),
inference(resolve,[$cnf( $equal(or(and(or(cin,t1),Y),not(or(cin,or(t1,Y)))),xor(carry_def,xor(and(carry_def,cin),Y))) )],[refute_0_26121,refute_0_26138]) ).
cnf(refute_0_26140,plain,
not(or(not(xor(carry,and(carry_def,cin))),X_26)) = and(xor(carry,and(carry_def,cin)),not(X_26)),
inference(subst,[],[refute_0_159:[bind(X,$fot(xor(carry,and(carry_def,cin))))]]) ).
cnf(refute_0_26141,plain,
( not(or(not(xor(carry,and(carry_def,cin))),X_26)) != and(xor(carry,and(carry_def,cin)),not(X_26))
| not(xor(carry,and(carry_def,cin))) != or(cin,t1)
| not(or(or(cin,t1),X_26)) = and(xor(carry,and(carry_def,cin)),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(xor(carry,and(carry_def,cin))),X_26)),and(xor(carry,and(carry_def,cin)),not(X_26))) ),[0,0,0],$fot(or(cin,t1))]]) ).
cnf(refute_0_26142,plain,
( not(or(not(xor(carry,and(carry_def,cin))),X_26)) != and(xor(carry,and(carry_def,cin)),not(X_26))
| not(or(or(cin,t1),X_26)) = and(xor(carry,and(carry_def,cin)),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(xor(carry,and(carry_def,cin))),or(cin,t1)) )],[refute_0_26059,refute_0_26141]) ).
cnf(refute_0_26143,plain,
not(or(or(cin,t1),X_26)) = and(xor(carry,and(carry_def,cin)),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(not(xor(carry,and(carry_def,cin))),X_26)),and(xor(carry,and(carry_def,cin)),not(X_26))) )],[refute_0_26140,refute_0_26142]) ).
cnf(refute_0_26144,plain,
( not(or(or(cin,t1),X_26)) != and(xor(carry,and(carry_def,cin)),not(X_26))
| not(or(or(cin,t1),X_26)) != not(or(cin,or(t1,X_26)))
| not(or(cin,or(t1,X_26))) = and(xor(carry,and(carry_def,cin)),not(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(or(cin,t1),X_26)),and(xor(carry,and(carry_def,cin)),not(X_26))) ),[0],$fot(not(or(cin,or(t1,X_26))))]]) ).
cnf(refute_0_26145,plain,
( not(or(or(cin,t1),X_26)) != and(xor(carry,and(carry_def,cin)),not(X_26))
| not(or(cin,or(t1,X_26))) = and(xor(carry,and(carry_def,cin)),not(X_26)) ),
inference(resolve,[$cnf( $equal(not(or(or(cin,t1),X_26)),not(or(cin,or(t1,X_26)))) )],[refute_0_26108,refute_0_26144]) ).
cnf(refute_0_26146,plain,
not(or(cin,or(t1,X_26))) = and(xor(carry,and(carry_def,cin)),not(X_26)),
inference(resolve,[$cnf( $equal(not(or(or(cin,t1),X_26)),and(xor(carry,and(carry_def,cin)),not(X_26))) )],[refute_0_26143,refute_0_26145]) ).
cnf(refute_0_26147,plain,
( not(or(cin,or(t1,X_26))) != and(xor(carry,and(carry_def,cin)),not(X_26))
| and(xor(carry,and(carry_def,cin)),not(X_26)) = not(or(cin,or(t1,X_26))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(or(cin,or(t1,X_26))))),bind(Y0,$fot(and(xor(carry,and(carry_def,cin)),not(X_26))))]]) ).
cnf(refute_0_26148,plain,
and(xor(carry,and(carry_def,cin)),not(X_26)) = not(or(cin,or(t1,X_26))),
inference(resolve,[$cnf( $equal(not(or(cin,or(t1,X_26))),and(xor(carry,and(carry_def,cin)),not(X_26))) )],[refute_0_26146,refute_0_26147]) ).
cnf(refute_0_26149,plain,
and(xor(carry,and(carry_def,cin)),not(Y)) = not(or(cin,or(t1,Y))),
inference(subst,[],[refute_0_26148:[bind(X_26,$fot(Y))]]) ).
cnf(refute_0_26150,plain,
or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))) = or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))),
introduced(tautology,[refl,[$fot(or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))))]]) ).
cnf(refute_0_26151,plain,
( and(xor(carry,and(carry_def,cin)),not(Y)) != not(or(cin,or(t1,Y)))
| or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))) != or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y)))
| or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))) = or(and(or(cin,t1),Y),not(or(cin,or(t1,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))),or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y)))) ),[1,1],$fot(not(or(cin,or(t1,Y))))]]) ).
cnf(refute_0_26152,plain,
( and(xor(carry,and(carry_def,cin)),not(Y)) != not(or(cin,or(t1,Y)))
| or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))) = or(and(or(cin,t1),Y),not(or(cin,or(t1,Y)))) ),
inference(resolve,[$cnf( $equal(or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))),or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y)))) )],[refute_0_26150,refute_0_26151]) ).
cnf(refute_0_26153,plain,
or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))) = or(and(or(cin,t1),Y),not(or(cin,or(t1,Y)))),
inference(resolve,[$cnf( $equal(and(xor(carry,and(carry_def,cin)),not(Y)),not(or(cin,or(t1,Y)))) )],[refute_0_26149,refute_0_26152]) ).
cnf(refute_0_26154,plain,
( or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))) != or(and(or(cin,t1),Y),not(or(cin,or(t1,Y))))
| or(and(or(cin,t1),Y),not(or(cin,or(t1,Y)))) != not(xor(or(cin,t1),Y))
| or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))) = not(xor(or(cin,t1),Y)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))))),bind(Y0,$fot(or(and(or(cin,t1),Y),not(or(cin,or(t1,Y)))))),bind(Z0,$fot(not(xor(or(cin,t1),Y))))]]) ).
cnf(refute_0_26155,plain,
( or(and(or(cin,t1),Y),not(or(cin,or(t1,Y)))) != not(xor(or(cin,t1),Y))
| or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))) = not(xor(or(cin,t1),Y)) ),
inference(resolve,[$cnf( $equal(or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))),or(and(or(cin,t1),Y),not(or(cin,or(t1,Y))))) )],[refute_0_26153,refute_0_26154]) ).
cnf(refute_0_26156,plain,
or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))) = not(xor(or(cin,t1),Y)),
inference(resolve,[$cnf( $equal(or(and(or(cin,t1),Y),not(or(cin,or(t1,Y)))),not(xor(or(cin,t1),Y))) )],[refute_0_26139,refute_0_26155]) ).
cnf(refute_0_26157,plain,
( or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))) != not(xor(or(cin,t1),Y))
| or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))) != xor(carry,xor(and(carry_def,cin),Y))
| not(xor(or(cin,t1),Y)) = xor(carry,xor(and(carry_def,cin),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))),xor(carry,xor(and(carry_def,cin),Y))) ),[0],$fot(not(xor(or(cin,t1),Y)))]]) ).
cnf(refute_0_26158,plain,
( or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))) != xor(carry,xor(and(carry_def,cin),Y))
| not(xor(or(cin,t1),Y)) = xor(carry,xor(and(carry_def,cin),Y)) ),
inference(resolve,[$cnf( $equal(or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))),not(xor(or(cin,t1),Y))) )],[refute_0_26156,refute_0_26157]) ).
cnf(refute_0_26159,plain,
not(xor(or(cin,t1),Y)) = xor(carry,xor(and(carry_def,cin),Y)),
inference(resolve,[$cnf( $equal(or(and(or(cin,t1),Y),and(xor(carry,and(carry_def,cin)),not(Y))),xor(carry,xor(and(carry_def,cin),Y))) )],[refute_0_26070,refute_0_26158]) ).
cnf(refute_0_26160,plain,
( not(xor(or(cin,t1),Y)) != xor(carry,xor(and(carry_def,cin),Y))
| xor(carry,xor(and(carry_def,cin),Y)) = not(xor(or(cin,t1),Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(not(xor(or(cin,t1),Y)))),bind(Y0,$fot(xor(carry,xor(and(carry_def,cin),Y))))]]) ).
cnf(refute_0_26161,plain,
xor(carry,xor(and(carry_def,cin),Y)) = not(xor(or(cin,t1),Y)),
inference(resolve,[$cnf( $equal(not(xor(or(cin,t1),Y)),xor(carry,xor(and(carry_def,cin),Y))) )],[refute_0_26159,refute_0_26160]) ).
cnf(refute_0_26162,plain,
xor(carry,xor(and(carry_def,cin),Z)) = not(xor(or(cin,t1),Z)),
inference(subst,[],[refute_0_26161:[bind(Y,$fot(Z))]]) ).
cnf(refute_0_26163,plain,
( xor(carry,xor(and(carry_def,cin),Z)) != not(xor(or(cin,t1),Z))
| xor(sum,xor(or(sum,not(t1)),Z)) != xor(carry,xor(and(carry_def,cin),Z))
| xor(sum,xor(or(sum,not(t1)),Z)) = not(xor(or(cin,t1),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(xor(sum,xor(or(sum,not(t1)),Z)),xor(carry,xor(and(carry_def,cin),Z))) ),[1],$fot(not(xor(or(cin,t1),Z)))]]) ).
cnf(refute_0_26164,plain,
( xor(sum,xor(or(sum,not(t1)),Z)) != xor(carry,xor(and(carry_def,cin),Z))
| xor(sum,xor(or(sum,not(t1)),Z)) = not(xor(or(cin,t1),Z)) ),
inference(resolve,[$cnf( $equal(xor(carry,xor(and(carry_def,cin),Z)),not(xor(or(cin,t1),Z))) )],[refute_0_26162,refute_0_26163]) ).
cnf(refute_0_26165,plain,
xor(sum,xor(or(sum,not(t1)),Z)) = not(xor(or(cin,t1),Z)),
inference(resolve,[$cnf( $equal(xor(sum,xor(or(sum,not(t1)),Z)),xor(carry,xor(and(carry_def,cin),Z))) )],[refute_0_16492,refute_0_26164]) ).
cnf(refute_0_26166,plain,
xor(sum,xor(or(sum,not(t1)),xor(and(carry_def,cin),Z))) = not(xor(or(cin,t1),xor(and(carry_def,cin),Z))),
inference(subst,[],[refute_0_26165:[bind(Z,$fot(xor(and(carry_def,cin),Z)))]]) ).
cnf(refute_0_26167,plain,
( not(xor(or(cin,t1),xor(and(carry_def,cin),Z))) != xor(carry_def,Z)
| xor(sum,xor(or(sum,not(t1)),xor(and(carry_def,cin),Z))) != not(xor(or(cin,t1),xor(and(carry_def,cin),Z)))
| xor(sum,xor(or(sum,not(t1)),xor(and(carry_def,cin),Z))) = xor(carry_def,Z) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(sum,xor(or(sum,not(t1)),xor(and(carry_def,cin),Z))))),bind(Y0,$fot(not(xor(or(cin,t1),xor(and(carry_def,cin),Z))))),bind(Z0,$fot(xor(carry_def,Z)))]]) ).
cnf(refute_0_26168,plain,
( not(xor(or(cin,t1),xor(and(carry_def,cin),Z))) != xor(carry_def,Z)
| xor(sum,xor(or(sum,not(t1)),xor(and(carry_def,cin),Z))) = xor(carry_def,Z) ),
inference(resolve,[$cnf( $equal(xor(sum,xor(or(sum,not(t1)),xor(and(carry_def,cin),Z))),not(xor(or(cin,t1),xor(and(carry_def,cin),Z)))) )],[refute_0_26166,refute_0_26167]) ).
cnf(refute_0_26169,plain,
xor(sum,xor(or(sum,not(t1)),xor(and(carry_def,cin),Z))) = xor(carry_def,Z),
inference(resolve,[$cnf( $equal(not(xor(or(cin,t1),xor(and(carry_def,cin),Z))),xor(carry_def,Z)) )],[refute_0_16465,refute_0_26168]) ).
cnf(refute_0_26170,plain,
xor(or(sum,not(t1)),xor(sum,xor(and(carry_def,cin),Z))) = xor(sum,xor(or(sum,not(t1)),xor(and(carry_def,cin),Z))),
inference(subst,[],[refute_0_1014:[bind(X_333,$fot(sum)),bind(X_334,$fot(or(sum,not(t1)))),bind(X_335,$fot(xor(and(carry_def,cin),Z)))]]) ).
cnf(refute_0_26171,plain,
( xor(or(sum,not(t1)),xor(sum,xor(and(carry_def,cin),Z))) != xor(sum,xor(or(sum,not(t1)),xor(and(carry_def,cin),Z)))
| xor(sum,xor(or(sum,not(t1)),xor(and(carry_def,cin),Z))) != xor(carry_def,Z)
| xor(or(sum,not(t1)),xor(sum,xor(and(carry_def,cin),Z))) = xor(carry_def,Z) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(or(sum,not(t1)),xor(sum,xor(and(carry_def,cin),Z))))),bind(Y0,$fot(xor(sum,xor(or(sum,not(t1)),xor(and(carry_def,cin),Z))))),bind(Z0,$fot(xor(carry_def,Z)))]]) ).
cnf(refute_0_26172,plain,
( xor(sum,xor(or(sum,not(t1)),xor(and(carry_def,cin),Z))) != xor(carry_def,Z)
| xor(or(sum,not(t1)),xor(sum,xor(and(carry_def,cin),Z))) = xor(carry_def,Z) ),
inference(resolve,[$cnf( $equal(xor(or(sum,not(t1)),xor(sum,xor(and(carry_def,cin),Z))),xor(sum,xor(or(sum,not(t1)),xor(and(carry_def,cin),Z)))) )],[refute_0_26170,refute_0_26171]) ).
cnf(refute_0_26173,plain,
xor(or(sum,not(t1)),xor(sum,xor(and(carry_def,cin),Z))) = xor(carry_def,Z),
inference(resolve,[$cnf( $equal(xor(sum,xor(or(sum,not(t1)),xor(and(carry_def,cin),Z))),xor(carry_def,Z)) )],[refute_0_26169,refute_0_26172]) ).
cnf(refute_0_26174,plain,
xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z)) = xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z)),
introduced(tautology,[refl,[$fot(xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z)))]]) ).
cnf(refute_0_26175,plain,
( xor(and(t1,or(cin,sum)),Z) != xor(sum,xor(and(carry_def,cin),Z))
| xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z)) != xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z))
| xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z)) = xor(or(sum,not(t1)),xor(sum,xor(and(carry_def,cin),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z)),xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z))) ),[1,1],$fot(xor(sum,xor(and(carry_def,cin),Z)))]]) ).
cnf(refute_0_26176,plain,
( xor(and(t1,or(cin,sum)),Z) != xor(sum,xor(and(carry_def,cin),Z))
| xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z)) = xor(or(sum,not(t1)),xor(sum,xor(and(carry_def,cin),Z))) ),
inference(resolve,[$cnf( $equal(xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z)),xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z))) )],[refute_0_26174,refute_0_26175]) ).
cnf(refute_0_26177,plain,
xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z)) = xor(or(sum,not(t1)),xor(sum,xor(and(carry_def,cin),Z))),
inference(resolve,[$cnf( $equal(xor(and(t1,or(cin,sum)),Z),xor(sum,xor(and(carry_def,cin),Z))) )],[refute_0_15376,refute_0_26176]) ).
cnf(refute_0_26178,plain,
( xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z)) != xor(or(sum,not(t1)),xor(sum,xor(and(carry_def,cin),Z)))
| xor(or(sum,not(t1)),xor(sum,xor(and(carry_def,cin),Z))) != xor(carry_def,Z)
| xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z)) = xor(carry_def,Z) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z)))),bind(Y0,$fot(xor(or(sum,not(t1)),xor(sum,xor(and(carry_def,cin),Z))))),bind(Z0,$fot(xor(carry_def,Z)))]]) ).
cnf(refute_0_26179,plain,
( xor(or(sum,not(t1)),xor(sum,xor(and(carry_def,cin),Z))) != xor(carry_def,Z)
| xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z)) = xor(carry_def,Z) ),
inference(resolve,[$cnf( $equal(xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z)),xor(or(sum,not(t1)),xor(sum,xor(and(carry_def,cin),Z)))) )],[refute_0_26177,refute_0_26178]) ).
cnf(refute_0_26180,plain,
xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z)) = xor(carry_def,Z),
inference(resolve,[$cnf( $equal(xor(or(sum,not(t1)),xor(sum,xor(and(carry_def,cin),Z))),xor(carry_def,Z)) )],[refute_0_26173,refute_0_26179]) ).
cnf(refute_0_26181,plain,
( xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z)) != xor(carry,Z)
| xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z)) != xor(carry_def,Z)
| xor(carry_def,Z) = xor(carry,Z) ),
introduced(tautology,[equality,[$cnf( $equal(xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z)),xor(carry,Z)) ),[0],$fot(xor(carry_def,Z))]]) ).
cnf(refute_0_26182,plain,
( xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z)) != xor(carry,Z)
| xor(carry_def,Z) = xor(carry,Z) ),
inference(resolve,[$cnf( $equal(xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z)),xor(carry_def,Z)) )],[refute_0_26180,refute_0_26181]) ).
cnf(refute_0_26183,plain,
xor(carry_def,Z) = xor(carry,Z),
inference(resolve,[$cnf( $equal(xor(or(sum,not(t1)),xor(and(t1,or(cin,sum)),Z)),xor(carry,Z)) )],[refute_0_16420,refute_0_26182]) ).
cnf(refute_0_26184,plain,
xor(carry_def,or(a,t7)) = xor(carry,or(a,t7)),
inference(subst,[],[refute_0_26183:[bind(Z,$fot(or(a,t7)))]]) ).
cnf(refute_0_26185,plain,
( xor(carry,or(a,t7)) != not(or(carry,cin))
| xor(carry_def,or(a,t7)) != xor(carry,or(a,t7))
| xor(carry_def,or(a,t7)) = not(or(carry,cin)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(carry_def,or(a,t7)))),bind(Y0,$fot(xor(carry,or(a,t7)))),bind(Z0,$fot(not(or(carry,cin))))]]) ).
cnf(refute_0_26186,plain,
( xor(carry,or(a,t7)) != not(or(carry,cin))
| xor(carry_def,or(a,t7)) = not(or(carry,cin)) ),
inference(resolve,[$cnf( $equal(xor(carry_def,or(a,t7)),xor(carry,or(a,t7))) )],[refute_0_26184,refute_0_26185]) ).
cnf(refute_0_26187,plain,
xor(carry_def,or(a,t7)) = not(or(carry,cin)),
inference(resolve,[$cnf( $equal(xor(carry,or(a,t7)),not(or(carry,cin))) )],[refute_0_14865,refute_0_26186]) ).
cnf(refute_0_26188,plain,
or(not(or(a,t7)),xor(carry_def,or(a,t7))) = or(not(or(a,t7)),xor(carry_def,or(a,t7))),
introduced(tautology,[refl,[$fot(or(not(or(a,t7)),xor(carry_def,or(a,t7))))]]) ).
cnf(refute_0_26189,plain,
( or(not(or(a,t7)),xor(carry_def,or(a,t7))) != or(not(or(a,t7)),xor(carry_def,or(a,t7)))
| xor(carry_def,or(a,t7)) != not(or(carry,cin))
| or(not(or(a,t7)),xor(carry_def,or(a,t7))) = or(not(or(a,t7)),not(or(carry,cin))) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(or(a,t7)),xor(carry_def,or(a,t7))),or(not(or(a,t7)),xor(carry_def,or(a,t7)))) ),[1,1],$fot(not(or(carry,cin)))]]) ).
cnf(refute_0_26190,plain,
( xor(carry_def,or(a,t7)) != not(or(carry,cin))
| or(not(or(a,t7)),xor(carry_def,or(a,t7))) = or(not(or(a,t7)),not(or(carry,cin))) ),
inference(resolve,[$cnf( $equal(or(not(or(a,t7)),xor(carry_def,or(a,t7))),or(not(or(a,t7)),xor(carry_def,or(a,t7)))) )],[refute_0_26188,refute_0_26189]) ).
cnf(refute_0_26191,plain,
or(not(or(a,t7)),xor(carry_def,or(a,t7))) = or(not(or(a,t7)),not(or(carry,cin))),
inference(resolve,[$cnf( $equal(xor(carry_def,or(a,t7)),not(or(carry,cin))) )],[refute_0_26187,refute_0_26190]) ).
cnf(refute_0_26192,plain,
( or(not(or(a,t7)),not(or(carry,cin))) != not(carry)
| or(not(or(a,t7)),xor(carry_def,or(a,t7))) != or(not(or(a,t7)),not(or(carry,cin)))
| or(not(or(a,t7)),xor(carry_def,or(a,t7))) = not(carry) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(not(or(a,t7)),xor(carry_def,or(a,t7))))),bind(Y0,$fot(or(not(or(a,t7)),not(or(carry,cin))))),bind(Z0,$fot(not(carry)))]]) ).
cnf(refute_0_26193,plain,
( or(not(or(a,t7)),not(or(carry,cin))) != not(carry)
| or(not(or(a,t7)),xor(carry_def,or(a,t7))) = not(carry) ),
inference(resolve,[$cnf( $equal(or(not(or(a,t7)),xor(carry_def,or(a,t7))),or(not(or(a,t7)),not(or(carry,cin)))) )],[refute_0_26191,refute_0_26192]) ).
cnf(refute_0_26194,plain,
or(not(or(a,t7)),xor(carry_def,or(a,t7))) = not(carry),
inference(resolve,[$cnf( $equal(or(not(or(a,t7)),not(or(carry,cin))),not(carry)) )],[refute_0_4451,refute_0_26193]) ).
cnf(refute_0_26195,plain,
or(carry_def,or(not(or(a,t7)),xor(carry_def,or(a,t7)))) = or(carry_def,or(not(or(a,t7)),xor(carry_def,or(a,t7)))),
introduced(tautology,[refl,[$fot(or(carry_def,or(not(or(a,t7)),xor(carry_def,or(a,t7)))))]]) ).
cnf(refute_0_26196,plain,
( or(carry_def,or(not(or(a,t7)),xor(carry_def,or(a,t7)))) != or(carry_def,or(not(or(a,t7)),xor(carry_def,or(a,t7))))
| or(not(or(a,t7)),xor(carry_def,or(a,t7))) != not(carry)
| or(carry_def,or(not(or(a,t7)),xor(carry_def,or(a,t7)))) = or(carry_def,not(carry)) ),
introduced(tautology,[equality,[$cnf( $equal(or(carry_def,or(not(or(a,t7)),xor(carry_def,or(a,t7)))),or(carry_def,or(not(or(a,t7)),xor(carry_def,or(a,t7))))) ),[1,1],$fot(not(carry))]]) ).
cnf(refute_0_26197,plain,
( or(not(or(a,t7)),xor(carry_def,or(a,t7))) != not(carry)
| or(carry_def,or(not(or(a,t7)),xor(carry_def,or(a,t7)))) = or(carry_def,not(carry)) ),
inference(resolve,[$cnf( $equal(or(carry_def,or(not(or(a,t7)),xor(carry_def,or(a,t7)))),or(carry_def,or(not(or(a,t7)),xor(carry_def,or(a,t7))))) )],[refute_0_26195,refute_0_26196]) ).
cnf(refute_0_26198,plain,
or(carry_def,or(not(or(a,t7)),xor(carry_def,or(a,t7)))) = or(carry_def,not(carry)),
inference(resolve,[$cnf( $equal(or(not(or(a,t7)),xor(carry_def,or(a,t7))),not(carry)) )],[refute_0_26194,refute_0_26197]) ).
cnf(refute_0_26199,plain,
( or(carry_def,or(not(or(a,t7)),xor(carry_def,or(a,t7)))) != ll1
| or(carry_def,or(not(or(a,t7)),xor(carry_def,or(a,t7)))) != or(carry_def,not(carry))
| or(carry_def,not(carry)) = ll1 ),
introduced(tautology,[equality,[$cnf( $equal(or(carry_def,or(not(or(a,t7)),xor(carry_def,or(a,t7)))),ll1) ),[0],$fot(or(carry_def,not(carry)))]]) ).
cnf(refute_0_26200,plain,
( or(carry_def,or(not(or(a,t7)),xor(carry_def,or(a,t7)))) != ll1
| or(carry_def,not(carry)) = ll1 ),
inference(resolve,[$cnf( $equal(or(carry_def,or(not(or(a,t7)),xor(carry_def,or(a,t7)))),or(carry_def,not(carry))) )],[refute_0_26198,refute_0_26199]) ).
cnf(refute_0_26201,plain,
or(carry_def,not(carry)) = ll1,
inference(resolve,[$cnf( $equal(or(carry_def,or(not(or(a,t7)),xor(carry_def,or(a,t7)))),ll1) )],[refute_0_4304,refute_0_26200]) ).
cnf(refute_0_26202,plain,
( ll0 != xor(or(carry_def,not(carry)),or(not(carry),carry_def))
| or(carry_def,not(carry)) != ll1
| ll0 = xor(ll1,or(not(carry),carry_def)) ),
introduced(tautology,[equality,[$cnf( $equal(ll0,xor(or(carry_def,not(carry)),or(not(carry),carry_def))) ),[1,0],$fot(ll1)]]) ).
cnf(refute_0_26203,plain,
( ll0 != xor(or(carry_def,not(carry)),or(not(carry),carry_def))
| ll0 = xor(ll1,or(not(carry),carry_def)) ),
inference(resolve,[$cnf( $equal(or(carry_def,not(carry)),ll1) )],[refute_0_26201,refute_0_26202]) ).
cnf(refute_0_26204,plain,
ll0 = xor(ll1,or(not(carry),carry_def)),
inference(resolve,[$cnf( $equal(ll0,xor(or(carry_def,not(carry)),or(not(carry),carry_def))) )],[refute_0_132,refute_0_26203]) ).
cnf(refute_0_26205,plain,
not(or(not(carry),carry_def)) = and(carry,not(carry_def)),
inference(subst,[],[refute_0_159:[bind(X,$fot(carry)),bind(X_26,$fot(carry_def))]]) ).
cnf(refute_0_26206,plain,
xor(ll1,or(not(carry),carry_def)) = not(or(not(carry),carry_def)),
inference(subst,[],[refute_0_3546:[bind(X_64,$fot(or(not(carry),carry_def)))]]) ).
cnf(refute_0_26207,plain,
( not(or(not(carry),carry_def)) != and(carry,not(carry_def))
| xor(ll1,or(not(carry),carry_def)) != not(or(not(carry),carry_def))
| xor(ll1,or(not(carry),carry_def)) = and(carry,not(carry_def)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(ll1,or(not(carry),carry_def)))),bind(Y0,$fot(not(or(not(carry),carry_def)))),bind(Z0,$fot(and(carry,not(carry_def))))]]) ).
cnf(refute_0_26208,plain,
( not(or(not(carry),carry_def)) != and(carry,not(carry_def))
| xor(ll1,or(not(carry),carry_def)) = and(carry,not(carry_def)) ),
inference(resolve,[$cnf( $equal(xor(ll1,or(not(carry),carry_def)),not(or(not(carry),carry_def))) )],[refute_0_26206,refute_0_26207]) ).
cnf(refute_0_26209,plain,
xor(ll1,or(not(carry),carry_def)) = and(carry,not(carry_def)),
inference(resolve,[$cnf( $equal(not(or(not(carry),carry_def)),and(carry,not(carry_def))) )],[refute_0_26205,refute_0_26208]) ).
cnf(refute_0_26210,plain,
( ll0 != xor(ll1,or(not(carry),carry_def))
| xor(ll1,or(not(carry),carry_def)) != and(carry,not(carry_def))
| ll0 = and(carry,not(carry_def)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ll0,and(carry,not(carry_def))) ),[0],$fot(xor(ll1,or(not(carry),carry_def)))]]) ).
cnf(refute_0_26211,plain,
( ll0 != xor(ll1,or(not(carry),carry_def))
| ll0 = and(carry,not(carry_def)) ),
inference(resolve,[$cnf( $equal(xor(ll1,or(not(carry),carry_def)),and(carry,not(carry_def))) )],[refute_0_26209,refute_0_26210]) ).
cnf(refute_0_26212,plain,
ll0 = and(carry,not(carry_def)),
inference(resolve,[$cnf( $equal(ll0,xor(ll1,or(not(carry),carry_def))) )],[refute_0_26204,refute_0_26211]) ).
cnf(refute_0_26213,plain,
( ll0 != and(carry,not(carry_def))
| and(carry,not(carry_def)) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(and(carry,not(carry_def))))]]) ).
cnf(refute_0_26214,plain,
and(carry,not(carry_def)) = ll0,
inference(resolve,[$cnf( $equal(ll0,and(carry,not(carry_def))) )],[refute_0_26212,refute_0_26213]) ).
cnf(refute_0_26215,plain,
( and(carry,not(carry_def)) != ll0
| or(and(carry,not(carry_def)),and(not(carry),carry_def)) != xor(carry,carry_def)
| or(ll0,and(not(carry),carry_def)) = xor(carry,carry_def) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(carry,not(carry_def)),and(not(carry),carry_def)),xor(carry,carry_def)) ),[0,0],$fot(ll0)]]) ).
cnf(refute_0_26216,plain,
( or(and(carry,not(carry_def)),and(not(carry),carry_def)) != xor(carry,carry_def)
| or(ll0,and(not(carry),carry_def)) = xor(carry,carry_def) ),
inference(resolve,[$cnf( $equal(and(carry,not(carry_def)),ll0) )],[refute_0_26214,refute_0_26215]) ).
cnf(refute_0_26217,plain,
or(ll0,and(not(carry),carry_def)) = xor(carry,carry_def),
inference(resolve,[$cnf( $equal(or(and(carry,not(carry_def)),and(not(carry),carry_def)),xor(carry,carry_def)) )],[refute_0_90,refute_0_26216]) ).
cnf(refute_0_26218,plain,
and(and(carry_def,t5),not(and(carry_def,t5))) = ll0,
inference(subst,[],[and_complement:[bind(X,$fot(and(carry_def,t5)))]]) ).
cnf(refute_0_26219,plain,
( and(and(carry_def,t5),not(and(carry_def,t5))) != ll0
| not(and(carry_def,t5)) != xor(carry_def,t5)
| and(and(carry_def,t5),xor(carry_def,t5)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(carry_def,t5),not(and(carry_def,t5))),ll0) ),[0,1],$fot(xor(carry_def,t5))]]) ).
cnf(refute_0_26220,plain,
( and(and(carry_def,t5),not(and(carry_def,t5))) != ll0
| and(and(carry_def,t5),xor(carry_def,t5)) = ll0 ),
inference(resolve,[$cnf( $equal(not(and(carry_def,t5)),xor(carry_def,t5)) )],[refute_0_15066,refute_0_26219]) ).
cnf(refute_0_26221,plain,
and(and(carry_def,t5),xor(carry_def,t5)) = ll0,
inference(resolve,[$cnf( $equal(and(and(carry_def,t5),not(and(carry_def,t5))),ll0) )],[refute_0_26218,refute_0_26220]) ).
cnf(refute_0_26222,plain,
and(and(carry_def,t5),xor(carry_def,t5)) = and(carry_def,and(t5,xor(carry_def,t5))),
inference(subst,[],[and_associative:[bind(X,$fot(carry_def)),bind(Y,$fot(t5)),bind(Z,$fot(xor(carry_def,t5)))]]) ).
cnf(refute_0_26223,plain,
( and(and(carry_def,t5),xor(carry_def,t5)) != and(carry_def,and(t5,xor(carry_def,t5)))
| and(and(carry_def,t5),xor(carry_def,t5)) != ll0
| and(carry_def,and(t5,xor(carry_def,t5))) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(carry_def,t5),xor(carry_def,t5)),ll0) ),[0],$fot(and(carry_def,and(t5,xor(carry_def,t5))))]]) ).
cnf(refute_0_26224,plain,
( and(and(carry_def,t5),xor(carry_def,t5)) != ll0
| and(carry_def,and(t5,xor(carry_def,t5))) = ll0 ),
inference(resolve,[$cnf( $equal(and(and(carry_def,t5),xor(carry_def,t5)),and(carry_def,and(t5,xor(carry_def,t5)))) )],[refute_0_26222,refute_0_26223]) ).
cnf(refute_0_26225,plain,
and(carry_def,and(t5,xor(carry_def,t5))) = ll0,
inference(resolve,[$cnf( $equal(and(and(carry_def,t5),xor(carry_def,t5)),ll0) )],[refute_0_26221,refute_0_26224]) ).
cnf(refute_0_26226,plain,
xor(carry_def,t5) = xor(carry,t5),
inference(subst,[],[refute_0_26183:[bind(Z,$fot(t5))]]) ).
cnf(refute_0_26227,plain,
( xor(carry,t5) != t1
| xor(carry_def,t5) != xor(carry,t5)
| xor(carry_def,t5) = t1 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(xor(carry_def,t5))),bind(Y0,$fot(xor(carry,t5))),bind(Z0,$fot(t1))]]) ).
cnf(refute_0_26228,plain,
( xor(carry,t5) != t1
| xor(carry_def,t5) = t1 ),
inference(resolve,[$cnf( $equal(xor(carry_def,t5),xor(carry,t5)) )],[refute_0_26226,refute_0_26227]) ).
cnf(refute_0_26229,plain,
xor(carry_def,t5) = t1,
inference(resolve,[$cnf( $equal(xor(carry,t5),t1) )],[refute_0_8957,refute_0_26228]) ).
cnf(refute_0_26230,plain,
and(t5,xor(carry_def,t5)) = and(t5,xor(carry_def,t5)),
introduced(tautology,[refl,[$fot(and(t5,xor(carry_def,t5)))]]) ).
cnf(refute_0_26231,plain,
( and(t5,xor(carry_def,t5)) != and(t5,xor(carry_def,t5))
| xor(carry_def,t5) != t1
| and(t5,xor(carry_def,t5)) = and(t5,t1) ),
introduced(tautology,[equality,[$cnf( $equal(and(t5,xor(carry_def,t5)),and(t5,xor(carry_def,t5))) ),[1,1],$fot(t1)]]) ).
cnf(refute_0_26232,plain,
( xor(carry_def,t5) != t1
| and(t5,xor(carry_def,t5)) = and(t5,t1) ),
inference(resolve,[$cnf( $equal(and(t5,xor(carry_def,t5)),and(t5,xor(carry_def,t5))) )],[refute_0_26230,refute_0_26231]) ).
cnf(refute_0_26233,plain,
and(t5,xor(carry_def,t5)) = and(t5,t1),
inference(resolve,[$cnf( $equal(xor(carry_def,t5),t1) )],[refute_0_26229,refute_0_26232]) ).
cnf(refute_0_26234,plain,
( and(t5,t1) != not(carry)
| and(t5,xor(carry_def,t5)) != and(t5,t1)
| and(t5,xor(carry_def,t5)) = not(carry) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(and(t5,xor(carry_def,t5)))),bind(Y0,$fot(and(t5,t1))),bind(Z0,$fot(not(carry)))]]) ).
cnf(refute_0_26235,plain,
( and(t5,t1) != not(carry)
| and(t5,xor(carry_def,t5)) = not(carry) ),
inference(resolve,[$cnf( $equal(and(t5,xor(carry_def,t5)),and(t5,t1)) )],[refute_0_26233,refute_0_26234]) ).
cnf(refute_0_26236,plain,
and(t5,xor(carry_def,t5)) = not(carry),
inference(resolve,[$cnf( $equal(and(t5,t1),not(carry)) )],[refute_0_1312,refute_0_26235]) ).
cnf(refute_0_26237,plain,
and(carry_def,and(t5,xor(carry_def,t5))) = and(carry_def,and(t5,xor(carry_def,t5))),
introduced(tautology,[refl,[$fot(and(carry_def,and(t5,xor(carry_def,t5))))]]) ).
cnf(refute_0_26238,plain,
( and(carry_def,and(t5,xor(carry_def,t5))) != and(carry_def,and(t5,xor(carry_def,t5)))
| and(t5,xor(carry_def,t5)) != not(carry)
| and(carry_def,and(t5,xor(carry_def,t5))) = and(carry_def,not(carry)) ),
introduced(tautology,[equality,[$cnf( $equal(and(carry_def,and(t5,xor(carry_def,t5))),and(carry_def,and(t5,xor(carry_def,t5)))) ),[1,1],$fot(not(carry))]]) ).
cnf(refute_0_26239,plain,
( and(t5,xor(carry_def,t5)) != not(carry)
| and(carry_def,and(t5,xor(carry_def,t5))) = and(carry_def,not(carry)) ),
inference(resolve,[$cnf( $equal(and(carry_def,and(t5,xor(carry_def,t5))),and(carry_def,and(t5,xor(carry_def,t5)))) )],[refute_0_26237,refute_0_26238]) ).
cnf(refute_0_26240,plain,
and(carry_def,and(t5,xor(carry_def,t5))) = and(carry_def,not(carry)),
inference(resolve,[$cnf( $equal(and(t5,xor(carry_def,t5)),not(carry)) )],[refute_0_26236,refute_0_26239]) ).
cnf(refute_0_26241,plain,
( and(carry_def,and(t5,xor(carry_def,t5))) != and(carry_def,not(carry))
| and(carry_def,and(t5,xor(carry_def,t5))) != ll0
| and(carry_def,not(carry)) = ll0 ),
introduced(tautology,[equality,[$cnf( $equal(and(carry_def,and(t5,xor(carry_def,t5))),ll0) ),[0],$fot(and(carry_def,not(carry)))]]) ).
cnf(refute_0_26242,plain,
( and(carry_def,and(t5,xor(carry_def,t5))) != ll0
| and(carry_def,not(carry)) = ll0 ),
inference(resolve,[$cnf( $equal(and(carry_def,and(t5,xor(carry_def,t5))),and(carry_def,not(carry))) )],[refute_0_26240,refute_0_26241]) ).
cnf(refute_0_26243,plain,
and(carry_def,not(carry)) = ll0,
inference(resolve,[$cnf( $equal(and(carry_def,and(t5,xor(carry_def,t5))),ll0) )],[refute_0_26225,refute_0_26242]) ).
cnf(refute_0_26244,plain,
or(ll0,and(carry_def,not(carry))) = and(carry_def,not(carry)),
inference(subst,[],[refute_0_124:[bind(X,$fot(and(carry_def,not(carry))))]]) ).
cnf(refute_0_26245,plain,
( and(carry_def,not(carry)) != ll0
| or(ll0,and(carry_def,not(carry))) != and(carry_def,not(carry))
| or(ll0,and(carry_def,not(carry))) = ll0 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(ll0,and(carry_def,not(carry))))),bind(Y0,$fot(and(carry_def,not(carry)))),bind(Z0,$fot(ll0))]]) ).
cnf(refute_0_26246,plain,
( and(carry_def,not(carry)) != ll0
| or(ll0,and(carry_def,not(carry))) = ll0 ),
inference(resolve,[$cnf( $equal(or(ll0,and(carry_def,not(carry))),and(carry_def,not(carry))) )],[refute_0_26244,refute_0_26245]) ).
cnf(refute_0_26247,plain,
or(ll0,and(carry_def,not(carry))) = ll0,
inference(resolve,[$cnf( $equal(and(carry_def,not(carry)),ll0) )],[refute_0_26243,refute_0_26246]) ).
cnf(refute_0_26248,plain,
or(ll0,and(not(carry),carry_def)) = or(ll0,and(carry_def,not(carry))),
inference(subst,[],[refute_0_4342:[bind(X_818,$fot(ll0)),bind(X_819,$fot(not(carry))),bind(X_820,$fot(carry_def))]]) ).
cnf(refute_0_26249,plain,
( or(ll0,and(carry_def,not(carry))) != ll0
| or(ll0,and(not(carry),carry_def)) != or(ll0,and(carry_def,not(carry)))
| or(ll0,and(not(carry),carry_def)) = ll0 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(or(ll0,and(not(carry),carry_def)))),bind(Y0,$fot(or(ll0,and(carry_def,not(carry))))),bind(Z0,$fot(ll0))]]) ).
cnf(refute_0_26250,plain,
( or(ll0,and(carry_def,not(carry))) != ll0
| or(ll0,and(not(carry),carry_def)) = ll0 ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(carry),carry_def)),or(ll0,and(carry_def,not(carry)))) )],[refute_0_26248,refute_0_26249]) ).
cnf(refute_0_26251,plain,
or(ll0,and(not(carry),carry_def)) = ll0,
inference(resolve,[$cnf( $equal(or(ll0,and(carry_def,not(carry))),ll0) )],[refute_0_26247,refute_0_26250]) ).
cnf(refute_0_26252,plain,
( or(ll0,and(not(carry),carry_def)) != ll0
| or(ll0,and(not(carry),carry_def)) != xor(carry,carry_def)
| ll0 = xor(carry,carry_def) ),
introduced(tautology,[equality,[$cnf( $equal(or(ll0,and(not(carry),carry_def)),xor(carry,carry_def)) ),[0],$fot(ll0)]]) ).
cnf(refute_0_26253,plain,
( or(ll0,and(not(carry),carry_def)) != xor(carry,carry_def)
| ll0 = xor(carry,carry_def) ),
inference(resolve,[$cnf( $equal(or(ll0,and(not(carry),carry_def)),ll0) )],[refute_0_26251,refute_0_26252]) ).
cnf(refute_0_26254,plain,
ll0 = xor(carry,carry_def),
inference(resolve,[$cnf( $equal(or(ll0,and(not(carry),carry_def)),xor(carry,carry_def)) )],[refute_0_26217,refute_0_26253]) ).
cnf(refute_0_26255,plain,
( ll0 != xor(carry,carry_def)
| xor(carry,carry_def) = ll0 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(ll0)),bind(Y0,$fot(xor(carry,carry_def)))]]) ).
cnf(refute_0_26256,plain,
xor(carry,carry_def) = ll0,
inference(resolve,[$cnf( $equal(ll0,xor(carry,carry_def)) )],[refute_0_26254,refute_0_26255]) ).
cnf(refute_0_26257,plain,
( xor(carry,carry_def) != ll0
| xor(carry,xor(carry,carry_def)) != carry_def
| xor(carry,ll0) = carry_def ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,xor(carry,carry_def)),carry_def) ),[0,1],$fot(ll0)]]) ).
cnf(refute_0_26258,plain,
( xor(carry,xor(carry,carry_def)) != carry_def
| xor(carry,ll0) = carry_def ),
inference(resolve,[$cnf( $equal(xor(carry,carry_def),ll0) )],[refute_0_26256,refute_0_26257]) ).
cnf(refute_0_26259,plain,
xor(carry,ll0) = carry_def,
inference(resolve,[$cnf( $equal(xor(carry,xor(carry,carry_def)),carry_def) )],[refute_0_89,refute_0_26258]) ).
cnf(refute_0_26260,plain,
( xor(carry,ll0) != carry
| xor(carry,ll0) != carry_def
| carry = carry_def ),
introduced(tautology,[equality,[$cnf( $equal(xor(carry,ll0),carry_def) ),[0],$fot(carry)]]) ).
cnf(refute_0_26261,plain,
( xor(carry,ll0) != carry_def
| carry = carry_def ),
inference(resolve,[$cnf( $equal(xor(carry,ll0),carry) )],[refute_0_16413,refute_0_26260]) ).
cnf(refute_0_26262,plain,
carry = carry_def,
inference(resolve,[$cnf( $equal(xor(carry,ll0),carry_def) )],[refute_0_26259,refute_0_26261]) ).
cnf(refute_0_26263,plain,
( sum != sum
| sum_def != sum
| sum = sum_def ),
introduced(tautology,[equality,[$cnf( ~ $equal(sum,sum_def) ),[1],$fot(sum)]]) ).
cnf(refute_0_26264,plain,
( sum != sum
| sum = sum_def ),
inference(resolve,[$cnf( $equal(sum_def,sum) )],[refute_0_5958,refute_0_26263]) ).
cnf(refute_0_26265,plain,
( carry != carry_def
| sum != sum ),
inference(resolve,[$cnf( $equal(sum,sum_def) )],[refute_0_26264,prove_circuit]) ).
cnf(refute_0_26266,plain,
sum = sum,
introduced(tautology,[refl,[$fot(sum)]]) ).
cnf(refute_0_26267,plain,
carry != carry_def,
inference(resolve,[$cnf( $equal(sum,sum) )],[refute_0_26266,refute_0_26265]) ).
cnf(refute_0_26268,plain,
$false,
inference(resolve,[$cnf( $equal(carry,carry_def) )],[refute_0_26262,refute_0_26267]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : HWV003-2 : TPTP v8.1.0. Released v2.7.0.
% 0.08/0.14 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jun 17 06:08:06 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 52.71/52.87 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 52.71/52.87
% 52.71/52.87 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 56.21/56.44
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