0.12/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.12/0.13	% Command    : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.1ddcczH0nr
0.13/0.34	% Computer   : n025.cluster.edu
0.13/0.34	% Model      : x86_64 x86_64
0.13/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory     : 8042.1875MB
0.13/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit   : 180
0.13/0.34	% DateTime   : Thu Aug 29 14:08:45 EDT 2019
0.13/0.35	% CPUTime    : 
27.25/27.56	% Running portfolio for 180 s
27.25/27.56	% File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
27.25/27.56	% TempDir      : /export/starexec/sandbox2/tmp/tmp.1ddcczH0nr
27.25/27.56	% Recognized as monomorphic HO.
27.25/27.56	% Running /export/starexec/sandbox2/solver/bin/competitive.sh for 18
27.25/27.56	% Running /export/starexec/sandbox2/solver/bin/competitive.2.sh for 13
27.25/27.56	% Solved by: competitive.2.sh
27.25/27.56	% done 1203 iterations in 9.078s
27.25/27.56	% hashcons stats for terms: size 9223, num 52714, sum length 82635, buckets: small 0, median 7, big 22
27.25/27.56	% proof state stats: {active 662, passive 21111, simpl 0}
27.25/27.56	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
27.25/27.56	% SZS output start Refutation
27.25/27.56	tff(ex1, axiom, ex1() =
27.25/27.56	  ^[A,Xphi:($i > $o)]: singleton(dsetconstr(A,^[Xx]: Xphi(Xx)))).
27.25/27.56	tff('0', plain,
27.25/27.56	    ex1 = (^[V_1,V_2:($i > $o)]: singleton(dsetconstr(V_1,^[V_3]: V_2(V_3)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(singletonprop, axiom, singletonprop <=>
27.25/27.56	  (![A,Xphi:($i > $o)]:
27.25/27.56	     ((![Xx]:
27.25/27.56	         (in(Xx,A) =>
27.25/27.56	          (![Xy]: (in(Xy,A) => (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))) =>
27.25/27.56	      ((?[Xx]: (Xphi(Xx) & in(Xx,A))) =>
27.25/27.56	       singleton(dsetconstr(A,^[Xx]: Xphi(Xx))))))).
27.25/27.56	tff('1', plain,
27.25/27.56	    singletonprop =
27.25/27.56	    (![X2,X3:($i > $o)]:
27.25/27.56	       ((![X4]:
27.25/27.56	           (in(X4,X2) =>
27.25/27.56	            (![X5]: (in(X5,X2) => (X3(X4) => (X3(X5) => (X4 = X5))))))) =>
27.25/27.56	        ((?[X6]: (X3(X6) & in(X6,X2))) =>
27.25/27.56	         singleton(dsetconstr(X2,^[V_1]: X3(V_1)))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(singleton, axiom, singleton() =
27.25/27.56	  ^[A]: (?[Xx]: ((A = setadjoin(Xx,emptyset)) & in(Xx,A)))).
27.25/27.56	tff('2', plain,
27.25/27.56	    singleton =
27.25/27.56	    (^[V_1]: (?[X2]: ((V_1 = setadjoin(X2,emptyset)) & in(X2,V_1)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(setunionsingleton, axiom, setunionsingleton <=>
27.25/27.56	  (![Xx]: (setunion(setadjoin(Xx,emptyset)) = Xx))).
27.25/27.56	tff('3', plain,
27.25/27.56	    setunionsingleton = (![X2]: (setunion(setadjoin(X2,emptyset)) = X2)),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(setunionsingleton2, axiom, setunionsingleton2 <=>
27.25/27.56	  (![A]: subset(A,setunion(setadjoin(A,emptyset))))).
27.25/27.56	tff('4', plain,
27.25/27.56	    setunionsingleton2 = (![X2]: subset(X2,setunion(setadjoin(X2,emptyset)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(setunionsingleton1, axiom, setunionsingleton1 <=>
27.25/27.56	  (![A]: subset(setunion(setadjoin(A,emptyset)),A))).
27.25/27.56	tff('5', plain,
27.25/27.56	    setunionsingleton1 = (![X2]: subset(setunion(setadjoin(X2,emptyset)),X2)),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(setunionE2, axiom, setunionE2 <=>
27.25/27.56	  (![A,Xx]: (in(Xx,setunion(A)) => (?[X]: (in(Xx,X) & in(X,A)))))).
27.25/27.56	tff('6', plain,
27.25/27.56	    setunionE2 =
27.25/27.56	    (![X2,X3]: (in(X3,setunion(X2)) => (?[X4]: (in(X3,X4) & in(X4,X2))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(cartprodmempair, axiom, cartprodmempair <=>
27.25/27.56	  (![A,B,Xu]: (in(Xu,cartprod(A,B)) => iskpair(Xu)))).
27.25/27.56	tff('7', plain,
27.25/27.56	    cartprodmempair = (![X2,X3,X4]: (in(X4,cartprod(X2,X3)) => iskpair(X4))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(cartprodmempair1, axiom, cartprodmempair1 <=>
27.25/27.56	  (![A,B,Xu]:
27.25/27.56	     (in(Xu,cartprod(A,B)) =>
27.25/27.56	      (?[Xx]: ((?[Xy]: ((Xu = kpair(Xx,Xy)) & in(Xy,B))) & in(Xx,A)))))).
27.25/27.56	tff('8', plain,
27.25/27.56	    cartprodmempair1 =
27.25/27.56	    (![X2,X3,X4]:
27.25/27.56	       (in(X4,cartprod(X2,X3)) =>
27.25/27.56	        (?[X5]: ((?[X6]: ((X4 = kpair(X5,X6)) & in(X6,X3))) & in(X5,X2))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(cartprodpairin, axiom, cartprodpairin <=>
27.25/27.56	  (![A,B,Xx]:
27.25/27.56	     (in(Xx,A) => (![Xy]: (in(Xy,B) => in(kpair(Xx,Xy),cartprod(A,B))))))).
27.25/27.56	tff('9', plain,
27.25/27.56	    cartprodpairin =
27.25/27.56	    (![X2,X3,X4]:
27.25/27.56	       (in(X4,X2) => (![X5]: (in(X5,X3) => in(kpair(X4,X5),cartprod(X2,X3)))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(ubforcartprodlem3, axiom, ubforcartprodlem3 <=>
27.25/27.56	  (![A,B,Xx]:
27.25/27.56	     (in(Xx,A) =>
27.25/27.56	      (![Xy]:
27.25/27.56	         (in(Xy,B) => in(kpair(Xx,Xy),powerset(powerset(binunion(A,B))))))))).
27.25/27.56	tff('10', plain,
27.25/27.56	    ubforcartprodlem3 =
27.25/27.56	    (![X2,X3,X4]:
27.25/27.56	       (in(X4,X2) =>
27.25/27.56	        (![X5]:
27.25/27.56	           (in(X5,X3) => in(kpair(X4,X5),powerset(powerset(binunion(X2,X3)))))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(ubforcartprodlem2, axiom, ubforcartprodlem2 <=>
27.25/27.56	  (![A,B,Xx]:
27.25/27.56	     (in(Xx,A) =>
27.25/27.56	      (![Xy]:
27.25/27.56	         (in(Xy,B) =>
27.25/27.56	          in(setadjoin(setadjoin(Xx,emptyset),
27.25/27.56	                       setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),
27.25/27.56	                                 emptyset)),
27.25/27.56	             powerset(powerset(binunion(A,B))))))))).
27.25/27.56	tff('11', plain,
27.25/27.56	    ubforcartprodlem2 =
27.25/27.56	    (![X2,X3,X4]:
27.25/27.56	       (in(X4,X2) =>
27.25/27.56	        (![X5]:
27.25/27.56	           (in(X5,X3) =>
27.25/27.56	            in(setadjoin(setadjoin(X4,emptyset),
27.25/27.56	                         setadjoin(setadjoin(X4,setadjoin(X5,emptyset)),
27.25/27.56	                                   emptyset)),
27.25/27.56	               powerset(powerset(binunion(X2,X3)))))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(ubforcartprodlem1, axiom, ubforcartprodlem1 <=>
27.25/27.56	  (![A,B,Xx]:
27.25/27.56	     (in(Xx,A) =>
27.25/27.56	      (![Xy]:
27.25/27.56	         (in(Xy,B) =>
27.25/27.56	          subset(setadjoin(setadjoin(Xx,emptyset),
27.25/27.56	                           setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),
27.25/27.56	                                     emptyset)),
27.25/27.56	                 powerset(binunion(A,B)))))))).
27.25/27.56	tff('12', plain,
27.25/27.56	    ubforcartprodlem1 =
27.25/27.56	    (![X2,X3,X4]:
27.25/27.56	       (in(X4,X2) =>
27.25/27.56	        (![X5]:
27.25/27.56	           (in(X5,X3) =>
27.25/27.56	            subset(setadjoin(setadjoin(X4,emptyset),
27.25/27.56	                             setadjoin(setadjoin(X4,setadjoin(X5,emptyset)),
27.25/27.56	                                       emptyset)),
27.25/27.56	                   powerset(binunion(X2,X3))))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(upairinpowunion, axiom, upairinpowunion <=>
27.25/27.56	  (![A,B,Xx]:
27.25/27.56	     (in(Xx,A) =>
27.25/27.56	      (![Xy]:
27.25/27.56	         (in(Xy,B) =>
27.25/27.56	          in(setadjoin(Xx,setadjoin(Xy,emptyset)),powerset(binunion(A,B)))))))).
27.25/27.56	tff('13', plain,
27.25/27.56	    upairinpowunion =
27.25/27.56	    (![X2,X3,X4]:
27.25/27.56	       (in(X4,X2) =>
27.25/27.56	        (![X5]:
27.25/27.56	           (in(X5,X3) =>
27.25/27.56	            in(setadjoin(X4,setadjoin(X5,emptyset)),powerset(binunion(X2,X3))))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(upairsubunion, axiom, upairsubunion <=>
27.25/27.56	  (![A,B,Xx]:
27.25/27.56	     (in(Xx,A) =>
27.25/27.56	      (![Xy]:
27.25/27.56	         (in(Xy,B) =>
27.25/27.56	          subset(setadjoin(Xx,setadjoin(Xy,emptyset)),binunion(A,B))))))).
27.25/27.56	tff('14', plain,
27.25/27.56	    upairsubunion =
27.25/27.56	    (![X2,X3,X4]:
27.25/27.56	       (in(X4,X2) =>
27.25/27.56	        (![X5]:
27.25/27.56	           (in(X5,X3) =>
27.25/27.56	            subset(setadjoin(X4,setadjoin(X5,emptyset)),binunion(X2,X3)))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(upairset2E, axiom, upairset2E <=>
27.25/27.56	  (![Xx,Xy,Xz]:
27.25/27.56	     (in(Xz,setadjoin(Xx,setadjoin(Xy,emptyset))) => ((Xz = Xy) | (Xz = Xx))))).
27.25/27.56	tff('15', plain,
27.25/27.56	    upairset2E =
27.25/27.56	    (![X2,X3,X4]:
27.25/27.56	       (in(X4,setadjoin(X2,setadjoin(X3,emptyset))) =>
27.25/27.56	        ((X4 = X3) | (X4 = X2)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(singletoninpowunion, axiom, singletoninpowunion <=>
27.25/27.56	  (![A,B,Xx]:
27.25/27.56	     (in(Xx,A) => in(setadjoin(Xx,emptyset),powerset(binunion(A,B)))))).
27.25/27.56	tff('16', plain,
27.25/27.56	    singletoninpowunion =
27.25/27.56	    (![X2,X3,X4]:
27.25/27.56	       (in(X4,X2) => in(setadjoin(X4,emptyset),powerset(binunion(X2,X3))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(singletoninpowerset, axiom, singletoninpowerset <=>
27.25/27.56	  (![A,Xx]: (in(Xx,A) => in(setadjoin(Xx,emptyset),powerset(A))))).
27.25/27.56	tff('17', plain,
27.25/27.56	    singletoninpowerset =
27.25/27.56	    (![X2,X3]: (in(X3,X2) => in(setadjoin(X3,emptyset),powerset(X2)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(singletonsubset, axiom, singletonsubset <=>
27.25/27.56	  (![A,Xx]: (in(Xx,A) => subset(setadjoin(Xx,emptyset),A)))).
27.25/27.56	tff('18', plain,
27.25/27.56	    singletonsubset =
27.25/27.56	    (![X2,X3]: (in(X3,X2) => subset(setadjoin(X3,emptyset),X2))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(kpairp, axiom, kpairp <=> (![Xx,Xy]: iskpair(kpair(Xx,Xy)))).
27.25/27.56	tff('19', plain, kpairp = (![X2,X3]: iskpair(kpair(X2,X3))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(kpair, axiom, kpair() =
27.25/27.56	  ^[Xx,Xy]:
27.25/27.56	    setadjoin(setadjoin(Xx,emptyset),
27.25/27.56	              setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset))).
27.25/27.56	tff('20', plain,
27.25/27.56	    kpair =
27.25/27.56	    (^[V_1,V_2]:
27.25/27.56	       setadjoin(setadjoin(V_1,emptyset),
27.25/27.56	                 setadjoin(setadjoin(V_1,setadjoin(V_2,emptyset)),emptyset))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(kpairiskpair, axiom, kpairiskpair <=>
27.25/27.56	  (![Xx,Xy]:
27.25/27.56	     iskpair(setadjoin(setadjoin(Xx,emptyset),
27.25/27.56	                       setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),
27.25/27.56	                                 emptyset))))).
27.25/27.56	tff('21', plain,
27.25/27.56	    kpairiskpair =
27.25/27.56	    (![X2,X3]:
27.25/27.56	       iskpair(setadjoin(setadjoin(X2,emptyset),
27.25/27.56	                         setadjoin(setadjoin(X2,setadjoin(X3,emptyset)),
27.25/27.56	                                   emptyset)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(setukpairIR, axiom, setukpairIR <=>
27.25/27.56	  (![Xx,Xy]:
27.25/27.56	     in(Xy,
27.25/27.56	        setunion(setadjoin(setadjoin(Xx,emptyset),
27.25/27.56	                           setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),
27.25/27.56	                                     emptyset)))))).
27.25/27.56	tff('22', plain,
27.25/27.56	    setukpairIR =
27.25/27.56	    (![X2,X3]:
27.25/27.56	       in(X3,
27.25/27.56	          setunion(setadjoin(setadjoin(X2,emptyset),
27.25/27.56	                             setadjoin(setadjoin(X2,setadjoin(X3,emptyset)),
27.25/27.56	                                       emptyset))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(setukpairIL, axiom, setukpairIL <=>
27.25/27.56	  (![Xx,Xy]:
27.25/27.56	     in(Xx,
27.25/27.56	        setunion(setadjoin(setadjoin(Xx,emptyset),
27.25/27.56	                           setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),
27.25/27.56	                                     emptyset)))))).
27.25/27.56	tff('23', plain,
27.25/27.56	    setukpairIL =
27.25/27.56	    (![X2,X3]:
27.25/27.56	       in(X2,
27.25/27.56	          setunion(setadjoin(setadjoin(X2,emptyset),
27.25/27.56	                             setadjoin(setadjoin(X2,setadjoin(X3,emptyset)),
27.25/27.56	                                       emptyset))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(secondinupair, axiom, secondinupair <=>
27.25/27.56	  (![Xx,Xy]: in(Xy,setadjoin(Xx,setadjoin(Xy,emptyset))))).
27.25/27.56	tff('24', plain,
27.25/27.56	    secondinupair = (![X2,X3]: in(X3,setadjoin(X2,setadjoin(X3,emptyset)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(iskpair, axiom, iskpair() =
27.25/27.56	  ^[A]:
27.25/27.56	    (?[Xx]:
27.25/27.56	       ((?[Xy]:
27.25/27.56	           ((A =
27.25/27.56	             setadjoin(setadjoin(Xx,emptyset),
27.25/27.56	                       setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),
27.25/27.56	                                 emptyset))) & 
27.25/27.56	            in(Xy,setunion(A)))) & 
27.25/27.56	        in(Xx,setunion(A))))).
27.25/27.56	tff('25', plain,
27.25/27.56	    iskpair =
27.25/27.56	    (^[V_1]:
27.25/27.56	       (?[X2]:
27.25/27.56	          ((?[X3]:
27.25/27.56	              ((V_1 =
27.25/27.56	                setadjoin(setadjoin(X2,emptyset),
27.25/27.56	                          setadjoin(setadjoin(X2,setadjoin(X3,emptyset)),
27.25/27.56	                                    emptyset))) & 
27.25/27.56	               in(X3,setunion(V_1)))) & 
27.25/27.56	           in(X2,setunion(V_1))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(symdiffIneg2, axiom, symdiffIneg2 <=>
27.25/27.56	  (![A,B,Xx]: ((~in(Xx,A)) => ((~in(Xx,B)) => (~in(Xx,symdiff(A,B))))))).
27.25/27.56	tff('26', plain,
27.25/27.56	    symdiffIneg2 =
27.25/27.56	    (![X2,X3,X4]:
27.25/27.56	       ((~in(X4,X2)) => ((~in(X4,X3)) => (~in(X4,symdiff(X2,X3)))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(symdiffIneg1, axiom, symdiffIneg1 <=>
27.25/27.56	  (![A,B,Xx]: (in(Xx,A) => (in(Xx,B) => (~in(Xx,symdiff(A,B))))))).
27.25/27.56	tff('27', plain,
27.25/27.56	    symdiffIneg1 =
27.25/27.56	    (![X2,X3,X4]: (in(X4,X2) => (in(X4,X3) => (~in(X4,symdiff(X2,X3)))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(symdiffI2, axiom, symdiffI2 <=>
27.25/27.56	  (![A,B,Xx]: ((~in(Xx,A)) => (in(Xx,B) => in(Xx,symdiff(A,B)))))).
27.25/27.56	tff('28', plain,
27.25/27.56	    symdiffI2 =
27.25/27.56	    (![X2,X3,X4]: ((~in(X4,X2)) => (in(X4,X3) => in(X4,symdiff(X2,X3))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(symdiffI1, axiom, symdiffI1 <=>
27.25/27.56	  (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => in(Xx,symdiff(A,B)))))).
27.25/27.56	tff('29', plain,
27.25/27.56	    symdiffI1 =
27.25/27.56	    (![X2,X3,X4]: (in(X4,X2) => ((~in(X4,X3)) => in(X4,symdiff(X2,X3))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(symdiffE, axiom, symdiffE <=>
27.25/27.56	  (![A,B,Xx]:
27.25/27.56	     (in(Xx,symdiff(A,B)) =>
27.25/27.56	      (![Xphi:$o]:
27.25/27.56	         ((in(Xx,A) => ((~in(Xx,B)) => Xphi)) =>
27.25/27.56	          (((~in(Xx,A)) => (in(Xx,B) => Xphi)) => Xphi)))))).
27.25/27.56	tff('30', plain,
27.25/27.56	    symdiffE =
27.25/27.56	    (![X2,X3,X4]:
27.25/27.56	       (in(X4,symdiff(X2,X3)) =>
27.25/27.56	        (![X5:$o]:
27.25/27.56	           ((in(X4,X2) => ((~in(X4,X3)) => X5)) =>
27.25/27.56	            (((~in(X4,X2)) => (in(X4,X3) => X5)) => X5))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(setminusSubset1, axiom, setminusSubset1 <=>
27.25/27.56	  (![A,B]: ((setminus(A,B) = emptyset) => subset(A,B)))).
27.25/27.56	tff('31', plain,
27.25/27.56	    setminusSubset1 =
27.25/27.56	    (![X2,X3]: ((setminus(X2,X3) = emptyset) => subset(X2,X3))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(setminusLsub, axiom, setminusLsub <=> (![A,B]: subset(setminus(A,B),A))).
27.25/27.56	tff('32', plain, setminusLsub = (![X2,X3]: subset(setminus(X2,X3),X2)),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(setminusIRneg, axiom, setminusIRneg <=>
27.25/27.56	  (![A,B,Xx]: (in(Xx,B) => (~in(Xx,setminus(A,B)))))).
27.25/27.56	tff('33', plain,
27.25/27.56	    setminusIRneg = (![X2,X3,X4]: (in(X4,X3) => (~in(X4,setminus(X2,X3))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(setminusILneg, axiom, setminusILneg <=>
27.25/27.56	  (![A,B,Xx]: ((~in(Xx,A)) => (~in(Xx,setminus(A,B)))))).
27.25/27.56	tff('34', plain,
27.25/27.56	    setminusILneg =
27.25/27.56	    (![X2,X3,X4]: ((~in(X4,X2)) => (~in(X4,setminus(X2,X3))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(setminusELneg, axiom, setminusELneg <=>
27.25/27.56	  (![A,B,Xx]: ((~in(Xx,setminus(A,B))) => ((~in(Xx,B)) => (~in(Xx,A)))))).
27.25/27.56	tff('35', plain,
27.25/27.56	    setminusELneg =
27.25/27.56	    (![X2,X3,X4]:
27.25/27.56	       ((~in(X4,setminus(X2,X3))) => ((~in(X4,X3)) => (~in(X4,X2))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(setminusERneg, axiom, setminusERneg <=>
27.25/27.56	  (![A,B,Xx]: ((~in(Xx,setminus(A,B))) => (in(Xx,A) => in(Xx,B))))).
27.25/27.56	tff('36', plain,
27.25/27.56	    setminusERneg =
27.25/27.56	    (![X2,X3,X4]: ((~in(X4,setminus(X2,X3))) => (in(X4,X2) => in(X4,X3)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(setminusSubset2, axiom, setminusSubset2 <=>
27.25/27.56	  (![A,B]: (subset(A,B) => (setminus(A,B) = emptyset)))).
27.25/27.56	tff('37', plain,
27.25/27.56	    setminusSubset2 =
27.25/27.56	    (![X2,X3]: (subset(X2,X3) => (setminus(X2,X3) = emptyset))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(setminusER, axiom, setminusER <=>
27.25/27.56	  (![A,B,Xx]: (in(Xx,setminus(A,B)) => (~in(Xx,B))))).
27.25/27.56	tff('38', plain,
27.25/27.56	    setminusER = (![X2,X3,X4]: (in(X4,setminus(X2,X3)) => (~in(X4,X3)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(setminusEL, axiom, setminusEL <=>
27.25/27.56	  (![A,B,Xx]: (in(Xx,setminus(A,B)) => in(Xx,A)))).
27.25/27.56	tff('39', plain,
27.25/27.56	    setminusEL = (![X2,X3,X4]: (in(X4,setminus(X2,X3)) => in(X4,X2))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(setminusI, axiom, setminusI <=>
27.25/27.56	  (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => in(Xx,setminus(A,B)))))).
27.25/27.56	tff('40', plain,
27.25/27.56	    setminusI =
27.25/27.56	    (![X2,X3,X4]: (in(X4,X2) => ((~in(X4,X3)) => in(X4,setminus(X2,X3))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(bs114d, axiom, bs114d <=>
27.25/27.56	  (![A,B,C]:
27.25/27.56	     (binintersect(A,binunion(B,C)) =
27.25/27.56	      binunion(binintersect(A,B),binintersect(A,C))))).
27.25/27.56	tff('41', plain,
27.25/27.56	    bs114d =
27.25/27.56	    (![X2,X3,X4]:
27.25/27.56	       (binintersect(X2,binunion(X3,X4)) =
27.25/27.56	        binunion(binintersect(X2,X3),binintersect(X2,X4)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(binintersectSubset1, axiom, binintersectSubset1 <=>
27.25/27.56	  (![A,B]: ((binintersect(A,B) = A) => subset(A,B)))).
27.25/27.56	tff('42', plain,
27.25/27.56	    binintersectSubset1 =
27.25/27.56	    (![X2,X3]: ((binintersect(X2,X3) = X2) => subset(X2,X3))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(binintersectSubset4, axiom, binintersectSubset4 <=>
27.25/27.56	  (![A,B]: (subset(B,A) => (binintersect(A,B) = B)))).
27.25/27.56	tff('43', plain,
27.25/27.56	    binintersectSubset4 =
27.25/27.56	    (![X2,X3]: (subset(X3,X2) => (binintersect(X2,X3) = X3))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(binintersectRsub, axiom, binintersectRsub <=>
27.25/27.56	  (![A,B]: subset(binintersect(A,B),B))).
27.25/27.56	tff('44', plain,
27.25/27.56	    binintersectRsub = (![X2,X3]: subset(binintersect(X2,X3),X3)),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(disjointsetsI1, axiom, disjointsetsI1 <=>
27.25/27.56	  (![A,B]:
27.25/27.56	     ((~(?[Xx]: (in(Xx,B) & in(Xx,A)))) => (binintersect(A,B) = emptyset)))).
27.25/27.56	tff('45', plain,
27.25/27.56	    disjointsetsI1 =
27.25/27.56	    (![X2,X3]:
27.25/27.56	       ((~(?[X4]: (in(X4,X3) & in(X4,X2)))) =>
27.25/27.56	        (binintersect(X2,X3) = emptyset))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(binintersectER, axiom, binintersectER <=>
27.25/27.56	  (![A,B,Xx]: (in(Xx,binintersect(A,B)) => in(Xx,B)))).
27.25/27.56	tff('46', plain,
27.25/27.56	    binintersectER = (![X2,X3,X4]: (in(X4,binintersect(X2,X3)) => in(X4,X3))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(binintersectSubset3, axiom, binintersectSubset3 <=>
27.25/27.56	  (![A,B]: ((binintersect(A,B) = B) => subset(B,A)))).
27.25/27.56	tff('47', plain,
27.25/27.56	    binintersectSubset3 =
27.25/27.56	    (![X2,X3]: ((binintersect(X2,X3) = X3) => subset(X3,X2))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(binintersectSubset2, axiom, binintersectSubset2 <=>
27.25/27.56	  (![A,B]: (subset(A,B) => (binintersect(A,B) = A)))).
27.25/27.56	tff('48', plain,
27.25/27.56	    binintersectSubset2 =
27.25/27.56	    (![X2,X3]: (subset(X2,X3) => (binintersect(X2,X3) = X2))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(binintersectLsub, axiom, binintersectLsub <=>
27.25/27.56	  (![A,B]: subset(binintersect(A,B),A))).
27.25/27.56	tff('49', plain,
27.25/27.56	    binintersectLsub = (![X2,X3]: subset(binintersect(X2,X3),X2)),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(binintersectEL, axiom, binintersectEL <=>
27.25/27.56	  (![A,B,Xx]: (in(Xx,binintersect(A,B)) => in(Xx,A)))).
27.25/27.56	tff('50', plain,
27.25/27.56	    binintersectEL = (![X2,X3,X4]: (in(X4,binintersect(X2,X3)) => in(X4,X2))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(binintersectSubset5, axiom, binintersectSubset5 <=>
27.25/27.56	  (![A,B,C]: (subset(C,A) => (subset(C,B) => subset(C,binintersect(A,B)))))).
27.25/27.56	tff('51', plain,
27.25/27.56	    binintersectSubset5 =
27.25/27.56	    (![X2,X3,X4]:
27.25/27.56	       (subset(X4,X2) => (subset(X4,X3) => subset(X4,binintersect(X2,X3))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(binintersectI, axiom, binintersectI <=>
27.25/27.56	  (![A,B,Xx]: (in(Xx,A) => (in(Xx,B) => in(Xx,binintersect(A,B)))))).
27.25/27.56	tff('52', plain,
27.25/27.56	    binintersectI =
27.25/27.56	    (![X2,X3,X4]: (in(X4,X2) => (in(X4,X3) => in(X4,binintersect(X2,X3))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(binunionRsub, axiom, binunionRsub <=> (![A,B]: subset(B,binunion(A,B)))).
27.25/27.56	tff('53', plain, binunionRsub = (![X2,X3]: subset(X3,binunion(X2,X3))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(binunionLsub, axiom, binunionLsub <=> (![A,B]: subset(A,binunion(A,B)))).
27.25/27.56	tff('54', plain, binunionLsub = (![X2,X3]: subset(X2,binunion(X2,X3))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(binunionE, axiom, binunionE <=>
27.25/27.56	  (![A,B,Xx]: (in(Xx,binunion(A,B)) => (in(Xx,B) | in(Xx,A))))).
27.25/27.56	tff('55', plain,
27.25/27.56	    binunionE =
27.25/27.56	    (![X2,X3,X4]: (in(X4,binunion(X2,X3)) => (in(X4,X3) | in(X4,X2)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(binunionEcases, axiom, binunionEcases <=>
27.25/27.56	  (![A,B,Xx,Xphi:$o]:
27.25/27.56	     (in(Xx,binunion(A,B)) =>
27.25/27.56	      ((in(Xx,A) => Xphi) => ((in(Xx,B) => Xphi) => Xphi))))).
27.25/27.56	tff('56', plain,
27.25/27.56	    binunionEcases =
27.25/27.56	    (![X2,X3,X4,X5:$o]:
27.25/27.56	       (in(X4,binunion(X2,X3)) =>
27.25/27.56	        ((in(X4,X2) => X5) => ((in(X4,X3) => X5) => X5)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(binunionIR, axiom, binunionIR <=>
27.25/27.56	  (![A,B,Xx]: (in(Xx,B) => in(Xx,binunion(A,B))))).
27.25/27.56	tff('57', plain,
27.25/27.56	    binunionIR = (![X2,X3,X4]: (in(X4,X3) => in(X4,binunion(X2,X3)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(upairset2IR, axiom, upairset2IR <=>
27.25/27.56	  (![Xx,Xy]: in(Xy,setadjoin(Xx,setadjoin(Xy,emptyset))))).
27.25/27.56	tff('58', plain,
27.25/27.56	    upairset2IR = (![X2,X3]: in(X3,setadjoin(X2,setadjoin(X3,emptyset)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(binunionIL, axiom, binunionIL <=>
27.25/27.56	  (![A,B,Xx]: (in(Xx,A) => in(Xx,binunion(A,B))))).
27.25/27.56	tff('59', plain,
27.25/27.56	    binunionIL = (![X2,X3,X4]: (in(X4,X2) => in(X4,binunion(X2,X3)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(sepSubset, axiom, sepSubset <=>
27.25/27.56	  (![A,Xphi:($i > $o)]: subset(dsetconstr(A,^[Xx]: Xphi(Xx)),A))).
27.25/27.56	tff('60', plain,
27.25/27.56	    sepSubset =
27.25/27.56	    (![X2,X3:($i > $o)]: subset(dsetconstr(X2,^[V_1]: X3(V_1)),X2)),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(sepInPowerset, axiom, sepInPowerset <=>
27.25/27.56	  (![A,Xphi:($i > $o)]: in(dsetconstr(A,^[Xx]: Xphi(Xx)),powerset(A)))).
27.25/27.56	tff('61', plain,
27.25/27.56	    sepInPowerset =
27.25/27.56	    (![X2,X3:($i > $o)]: in(dsetconstr(X2,^[V_1]: X3(V_1)),powerset(X2))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(powersetsubset, axiom, powersetsubset <=>
27.25/27.56	  (![A,B]: (subset(A,B) => subset(powerset(A),powerset(B))))).
27.25/27.56	tff('62', plain,
27.25/27.56	    powersetsubset =
27.25/27.56	    (![X2,X3]: (subset(X2,X3) => subset(powerset(X2),powerset(X3)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(inPowerset, axiom, inPowerset <=> (![A]: in(A,powerset(A)))).
27.25/27.56	tff('63', plain, inPowerset = (![X2]: in(X2,powerset(X2))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(powersetE1, axiom, powersetE1 <=>
27.25/27.56	  (![A,B]: (in(B,powerset(A)) => subset(B,A)))).
27.25/27.56	tff('64', plain,
27.25/27.56	    powersetE1 = (![X2,X3]: (in(X3,powerset(X2)) => subset(X3,X2))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(powersetI1, axiom, powersetI1 <=>
27.25/27.56	  (![A,B]: (subset(B,A) => in(B,powerset(A))))).
27.25/27.56	tff('65', plain,
27.25/27.56	    powersetI1 = (![X2,X3]: (subset(X3,X2) => in(X3,powerset(X2)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(subsetemptysetimpeq, axiom, subsetemptysetimpeq <=>
27.25/27.56	  (![A]: (subset(A,emptyset) => (A = emptyset)))).
27.25/27.56	tff('66', plain,
27.25/27.56	    subsetemptysetimpeq = (![X2]: (subset(X2,emptyset) => (X2 = emptyset))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(setextsub, axiom, setextsub <=>
27.25/27.56	  (![A,B]: (subset(A,B) => (subset(B,A) => (A = B))))).
27.25/27.56	tff('67', plain,
27.25/27.56	    setextsub = (![X2,X3]: (subset(X2,X3) => (subset(X3,X2) => (X2 = X3)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(subset2powerset, axiom, subset2powerset <=>
27.25/27.56	  (![A,B]: (subset(A,B) => in(A,powerset(B))))).
27.25/27.56	tff('68', plain,
27.25/27.56	    subset2powerset = (![X2,X3]: (subset(X2,X3) => in(X2,powerset(X3)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(setadjoinSub2, axiom, setadjoinSub2 <=>
27.25/27.56	  (![A,Xx,B]: (subset(A,B) => subset(A,setadjoin(Xx,B))))).
27.25/27.56	tff('69', plain,
27.25/27.56	    setadjoinSub2 =
27.25/27.56	    (![X2,X3,X4]: (subset(X2,X4) => subset(X2,setadjoin(X3,X4)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(setadjoinSub, axiom, setadjoinSub <=>
27.25/27.56	  (![Xx,A]: subset(A,setadjoin(Xx,A)))).
27.25/27.56	tff('70', plain, setadjoinSub = (![X2,X3]: subset(X3,setadjoin(X2,X3))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(subsetTrans, axiom, subsetTrans <=>
27.25/27.56	  (![A,B,C]: (subset(A,B) => (subset(B,C) => subset(A,C))))).
27.25/27.56	tff('71', plain,
27.25/27.56	    subsetTrans =
27.25/27.56	    (![X2,X3,X4]: (subset(X2,X3) => (subset(X3,X4) => subset(X2,X4)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(subsetRefl, axiom, subsetRefl <=> (![A]: subset(A,A))).
27.25/27.56	tff('72', plain, subsetRefl = (![X2]: subset(X2,X2)), define([status(thm)])).
27.25/27.56	tff(notequalI2, axiom, notequalI2 <=>
27.25/27.56	  (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => (A != B))))).
27.25/27.56	tff('73', plain,
27.25/27.56	    notequalI2 = (![X2,X3,X4]: (in(X4,X2) => ((~in(X4,X3)) => (X2 != X3)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(notequalI1, axiom, notequalI1 <=> (![A,B]: ((~subset(A,B)) => (A != B)))).
27.25/27.56	tff('74', plain, notequalI1 = (![X2,X3]: ((~subset(X2,X3)) => (X2 != X3))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(notsubsetI, axiom, notsubsetI <=>
27.25/27.56	  (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => (~subset(A,B)))))).
27.25/27.56	tff('75', plain,
27.25/27.56	    notsubsetI =
27.25/27.56	    (![X2,X3,X4]: (in(X4,X2) => ((~in(X4,X3)) => (~subset(X2,X3))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(subsetE2, axiom, subsetE2 <=>
27.25/27.56	  (![A,B,Xx]: (subset(A,B) => ((~in(Xx,B)) => (~in(Xx,A)))))).
27.25/27.56	tff('76', plain,
27.25/27.56	    subsetE2 =
27.25/27.56	    (![X2,X3,X4]: (subset(X2,X3) => ((~in(X4,X3)) => (~in(X4,X2))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(subsetE, axiom, subsetE <=>
27.25/27.56	  (![A,B,Xx]: (subset(A,B) => (in(Xx,A) => in(Xx,B))))).
27.25/27.56	tff('77', plain,
27.25/27.56	    subsetE = (![X2,X3,X4]: (subset(X2,X3) => (in(X4,X2) => in(X4,X3)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(emptysetsubset, axiom, emptysetsubset <=> (![A]: subset(emptyset,A))).
27.25/27.56	tff('78', plain, emptysetsubset = (![X2]: subset(emptyset,X2)),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(subsetI2, axiom, subsetI2 <=>
27.25/27.56	  (![A,B]: ((![Xx]: (in(Xx,A) => in(Xx,B))) => subset(A,B)))).
27.25/27.56	tff('79', plain,
27.25/27.56	    subsetI2 =
27.25/27.56	    (![X2,X3]: ((![X4]: (in(X4,X2) => in(X4,X3))) => subset(X2,X3))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(eqimpsubset1, axiom, eqimpsubset1 <=> (![A,B]: ((A = B) => subset(A,B)))).
27.25/27.56	tff('80', plain, eqimpsubset1 = (![X2,X3]: ((X2 = X3) => subset(X2,X3))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(eqimpsubset2, axiom, eqimpsubset2 <=> (![A,B]: ((A = B) => subset(B,A)))).
27.25/27.56	tff('81', plain, eqimpsubset2 = (![X2,X3]: ((X2 = X3) => subset(X3,X2))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(subsetI1, axiom, subsetI1 <=>
27.25/27.56	  (![A,B]: ((![Xx]: (in(Xx,A) => in(Xx,B))) => subset(A,B)))).
27.25/27.56	tff('82', plain,
27.25/27.56	    subsetI1 =
27.25/27.56	    (![X2,X3]: ((![X4]: (in(X4,X2) => in(X4,X3))) => subset(X2,X3))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(dsetconstr__Cong, axiom, dsetconstr__Cong <=>
27.25/27.56	  (![A,B]:
27.25/27.56	     ((A = B) =>
27.25/27.56	      (![Xphi:($i > $o),Xpsi:($i > $o)]:
27.25/27.56	         ((![Xx]:
27.25/27.56	             (in(Xx,A) =>
27.25/27.56	              (![Xy]: (in(Xy,B) => ((Xx = Xy) => (Xphi(Xx) <=> Xpsi(Xy))))))) =>
27.25/27.56	          (dsetconstr(A,^[Xx]: Xphi(Xx)) = dsetconstr(B,^[Xx]: Xpsi(Xx)))))))).
27.25/27.56	tff('83', plain,
27.25/27.56	    dsetconstr__Cong =
27.25/27.56	    (![X2,X3]:
27.25/27.56	       ((X2 = X3) =>
27.25/27.56	        (![X4:($i > $o),X5:($i > $o)]:
27.25/27.56	           ((![X6]:
27.25/27.56	               (in(X6,X2) =>
27.25/27.56	                (![X7]: (in(X7,X3) => ((X6 = X7) => (X4(X6) <=> X5(X7))))))) =>
27.25/27.56	            (dsetconstr(X2,^[V_1]: X4(V_1)) = dsetconstr(X3,^[V_2]: X5(V_2))))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(descr__Cong, axiom, descr__Cong <=>
27.25/27.56	  (![Xphi:($i > $o),Xpsi:($i > $o)]:
27.25/27.56	     ((![Xx,Xy]: ((Xx = Xy) => (Xphi(Xx) <=> Xpsi(Xy)))) =>
27.25/27.56	      (exu(^[Xx]: Xphi(Xx)) =>
27.25/27.56	       (exu(^[Xx]: Xpsi(Xx)) =>
27.25/27.56	        (descr(^[Xx]: Xphi(Xx)) = descr(^[Xx]: Xpsi(Xx)))))))).
27.25/27.56	tff('84', plain,
27.25/27.56	    descr__Cong =
27.25/27.56	    (![X2:($i > $o),X3:($i > $o)]:
27.25/27.56	       ((![X4,X5]: ((X4 = X5) => (X2(X4) <=> X3(X5)))) =>
27.25/27.56	        (exu(^[V_1]: X2(V_1)) =>
27.25/27.56	         (exu(^[V_2]: X3(V_2)) =>
27.25/27.56	          (descr(^[V_3]: X2(V_3)) = descr(^[V_4]: X3(V_4))))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(exuEu, axiom, exuEu <=>
27.25/27.56	  (![Xphi:($i > $o)]:
27.25/27.56	     (exu(^[Xx]: Xphi(Xx)) =>
27.25/27.56	      (![Xx,Xy]: (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))).
27.25/27.56	tff('85', plain,
27.25/27.56	    exuEu =
27.25/27.56	    (![X2:($i > $o)]:
27.25/27.56	       (exu(^[V_1]: X2(V_1)) => (![X3,X4]: (X2(X3) => (X2(X4) => (X3 = X4)))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(omega__Cong, axiom, omega__Cong <=> (omega = omega)).
27.25/27.56	tff('86', plain, omega__Cong = (omega = omega), define([status(thm)])).
27.25/27.56	tff(setunion__Cong, axiom, setunion__Cong <=>
27.25/27.56	  (![A,B]: ((A = B) => (setunion(A) = setunion(B))))).
27.25/27.56	tff('87', plain,
27.25/27.56	    setunion__Cong = (![X2,X3]: ((X2 = X3) => (setunion(X2) = setunion(X3)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(powerset__Cong, axiom, powerset__Cong <=>
27.25/27.56	  (![A,B]: ((A = B) => (powerset(A) = powerset(B))))).
27.25/27.56	tff('88', plain,
27.25/27.56	    powerset__Cong = (![X2,X3]: ((X2 = X3) => (powerset(X2) = powerset(X3)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(setadjoin__Cong, axiom, setadjoin__Cong <=>
27.25/27.56	  (![Xx,Xy]:
27.25/27.56	     ((Xx = Xy) =>
27.25/27.56	      (![Xz,Xu]: ((Xz = Xu) => (setadjoin(Xx,Xz) = setadjoin(Xy,Xu))))))).
27.25/27.56	tff('89', plain,
27.25/27.56	    setadjoin__Cong =
27.25/27.56	    (![X2,X3]:
27.25/27.56	       ((X2 = X3) =>
27.25/27.56	        (![X4,X5]: ((X4 = X5) => (setadjoin(X2,X4) = setadjoin(X3,X5)))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(emptyset__Cong, axiom, emptyset__Cong <=> (emptyset = emptyset)).
27.25/27.56	tff('90', plain, emptyset__Cong = (emptyset = emptyset),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(exu__Cong, axiom, exu__Cong <=>
27.25/27.56	  (![Xphi:($i > $o),Xpsi:($i > $o)]:
27.25/27.56	     ((![Xx,Xy]: ((Xx = Xy) => (Xphi(Xx) <=> Xpsi(Xy)))) =>
27.25/27.56	      (exu(^[Xx]: Xphi(Xx)) <=> exu(^[Xx]: Xpsi(Xx)))))).
27.25/27.56	tff('91', plain,
27.25/27.56	    exu__Cong =
27.25/27.56	    (![X2:($i > $o),X3:($i > $o)]:
27.25/27.56	       ((![X4,X5]: ((X4 = X5) => (X2(X4) <=> X3(X5)))) =>
27.25/27.56	        (exu(^[V_1]: X2(V_1)) <=> exu(^[V_2]: X3(V_2))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(exuE3u, axiom, exuE3u <=>
27.25/27.56	  (![Xphi:($i > $o)]:
27.25/27.56	     (exu(^[Xx]: Xphi(Xx)) =>
27.25/27.56	      (![Xx,Xy]: (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))).
27.25/27.56	tff('92', plain,
27.25/27.56	    exuE3u =
27.25/27.56	    (![X2:($i > $o)]:
27.25/27.56	       (exu(^[V_1]: X2(V_1)) => (![X3,X4]: (X2(X3) => (X2(X4) => (X3 = X4)))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(in__Cong, axiom, in__Cong <=>
27.25/27.56	  (![A,B]: ((A = B) => (![Xx,Xy]: ((Xx = Xy) => (in(Xx,A) <=> in(Xy,B))))))).
27.25/27.56	tff('93', plain,
27.25/27.56	    in__Cong =
27.25/27.56	    (![X2,X3]:
27.25/27.56	       ((X2 = X3) => (![X4,X5]: ((X4 = X5) => (in(X4,X2) <=> in(X5,X3)))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(inCongP, axiom, inCongP <=>
27.25/27.56	  (![A,B]: ((A = B) => (![Xx,Xy]: ((Xx = Xy) => (in(Xx,A) => in(Xy,B))))))).
27.25/27.56	tff('94', plain,
27.25/27.56	    inCongP =
27.25/27.56	    (![X2,X3]:
27.25/27.56	       ((X2 = X3) => (![X4,X5]: ((X4 = X5) => (in(X4,X2) => in(X5,X3)))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(exuI2, axiom, exuI2 <=>
27.25/27.56	  (![Xphi:($i > $o)]:
27.25/27.56	     ((?[Xx]: (![Xy]: (Xphi(Xy) <=> (Xy = Xx)))) => exu(^[Xx]: Xphi(Xx))))).
27.25/27.56	tff('95', plain,
27.25/27.56	    exuI2 =
27.25/27.56	    (![X2:($i > $o)]:
27.25/27.56	       ((?[X3]: (![X4]: (X2(X4) <=> (X4 = X3)))) => exu(^[V_1]: X2(V_1)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(exuI3, axiom, exuI3 <=>
27.25/27.56	  (![Xphi:($i > $o)]:
27.25/27.56	     ((?[Xx]: Xphi(Xx)) =>
27.25/27.56	      ((![Xx,Xy]: (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy)))) =>
27.25/27.56	       exu(^[Xx]: Xphi(Xx)))))).
27.25/27.56	tff('96', plain,
27.25/27.56	    exuI3 =
27.25/27.56	    (![X2:($i > $o)]:
27.25/27.56	       ((?[X3]: X2(X3)) =>
27.25/27.56	        ((![X4,X5]: (X2(X4) => (X2(X5) => (X4 = X5)))) =>
27.25/27.56	         exu(^[V_1]: X2(V_1))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(exuI1, axiom, exuI1 <=>
27.25/27.56	  (![Xphi:($i > $o)]:
27.25/27.56	     ((?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx))) =>
27.25/27.56	      exu(^[Xx]: Xphi(Xx))))).
27.25/27.56	tff('97', plain,
27.25/27.56	    exuI1 =
27.25/27.56	    (![X2:($i > $o)]:
27.25/27.56	       ((?[X3]: ((![X4]: (X2(X4) => (X3 = X4))) & X2(X3))) =>
27.25/27.56	        exu(^[V_1]: X2(V_1)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(notdallE, axiom, notdallE <=>
27.25/27.56	  (![A,Xphi:($i > $o)]:
27.25/27.56	     ((~(![Xx]: (in(Xx,A) => Xphi(Xx)))) => (?[Xx]: ((~Xphi(Xx)) & in(Xx,A)))))).
27.25/27.56	tff('98', plain,
27.25/27.56	    notdallE =
27.25/27.56	    (![X2,X3:($i > $o)]:
27.25/27.56	       ((~(![X4]: (in(X4,X2) => X3(X4)))) => (?[X5]: ((~X3(X5)) & in(X5,X2))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(notdexE, axiom, notdexE <=>
27.25/27.56	  (![A,Xphi:($i > $o)]:
27.25/27.56	     ((~(?[Xx]: (Xphi(Xx) & in(Xx,A)))) => (![Xx]: (in(Xx,A) => (~Xphi(Xx))))))).
27.25/27.56	tff('99', plain,
27.25/27.56	    notdexE =
27.25/27.56	    (![X2,X3:($i > $o)]:
27.25/27.56	       ((~(?[X4]: (X3(X4) & in(X4,X2)))) => (![X5]: (in(X5,X2) => (~X3(X5)))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(prop2set2propI, axiom, prop2set2propI <=>
27.25/27.56	  (![Xphi:$o]: (Xphi => set2prop(prop2set(Xphi))))).
27.25/27.56	tff('100', plain,
27.25/27.56	    prop2set2propI = (![X2:$o]: (X2 => set2prop(prop2set(X2)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(prop2setI, axiom, prop2setI <=>
27.25/27.56	  (![Xphi:$o]: (Xphi => in(emptyset,prop2set(Xphi))))).
27.25/27.56	tff('101', plain, prop2setI = (![X2:$o]: (X2 => in(emptyset,prop2set(X2)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(quantDeMorgan4, axiom, quantDeMorgan4 <=>
27.25/27.56	  (![A,Xphi:($i > $o)]:
27.25/27.56	     ((?[Xx]: ((~Xphi(Xx)) & in(Xx,A))) => (~(![Xx]: (in(Xx,A) => Xphi(Xx))))))).
27.25/27.56	tff('102', plain,
27.25/27.56	    quantDeMorgan4 =
27.25/27.56	    (![X2,X3:($i > $o)]:
27.25/27.56	       ((?[X4]: ((~X3(X4)) & in(X4,X2))) => (~(![X5]: (in(X5,X2) => X3(X5)))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(quantDeMorgan3, axiom, quantDeMorgan3 <=>
27.25/27.56	  (![A,Xphi:($i > $o)]:
27.25/27.56	     ((~(?[Xx]: (Xphi(Xx) & in(Xx,A)))) => (![Xx]: (in(Xx,A) => (~Xphi(Xx))))))).
27.25/27.56	tff('103', plain,
27.25/27.56	    quantDeMorgan3 =
27.25/27.56	    (![X2,X3:($i > $o)]:
27.25/27.56	       ((~(?[X4]: (X3(X4) & in(X4,X2)))) => (![X5]: (in(X5,X2) => (~X3(X5)))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(quantDeMorgan2, axiom, quantDeMorgan2 <=>
27.25/27.56	  (![A,Xphi:($i > $o)]:
27.25/27.56	     ((![Xx]: (in(Xx,A) => (~Xphi(Xx)))) => (~(?[Xx]: (Xphi(Xx) & in(Xx,A))))))).
27.25/27.56	tff('104', plain,
27.25/27.56	    quantDeMorgan2 =
27.25/27.56	    (![X2,X3:($i > $o)]:
27.25/27.56	       ((![X4]: (in(X4,X2) => (~X3(X4)))) => (~(?[X5]: (X3(X5) & in(X5,X2)))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(quantDeMorgan1, axiom, quantDeMorgan1 <=>
27.25/27.56	  (![A,Xphi:($i > $o)]:
27.25/27.56	     ((~(![Xx]: (in(Xx,A) => Xphi(Xx)))) => (?[Xx]: ((~Xphi(Xx)) & in(Xx,A)))))).
27.25/27.56	tff('105', plain,
27.25/27.56	    quantDeMorgan1 =
27.25/27.56	    (![X2,X3:($i > $o)]:
27.25/27.56	       ((~(![X4]: (in(X4,X2) => X3(X4)))) => (?[X5]: ((~X3(X5)) & in(X5,X2))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(vacuousDall, axiom, vacuousDall <=>
27.25/27.56	  (![Xphi:($i > $o),Xx]: (in(Xx,emptyset) => Xphi(Xx)))).
27.25/27.56	tff('106', plain,
27.25/27.56	    vacuousDall = (![X2:($i > $o),X3]: (in(X3,emptyset) => X2(X3))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(emptyE1, axiom, emptyE1 <=>
27.25/27.56	  (![A,Xphi:($i > $o)]:
27.25/27.56	     ((?[Xx]: (Xphi(Xx) & in(Xx,A))) =>
27.25/27.56	      ((dsetconstr(A,^[Xx]: Xphi(Xx)) = emptyset) => $false)))).
27.25/27.56	tff('107', plain,
27.25/27.56	    emptyE1 =
27.25/27.56	    (![X2,X3:($i > $o)]:
27.25/27.56	       ((?[X4]: (X3(X4) & in(X4,X2))) =>
27.25/27.56	        ((dsetconstr(X2,^[V_1]: X3(V_1)) = emptyset) => $false))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(upairsetIR, axiom, upairsetIR <=>
27.25/27.56	  (![Xx,Xy]: in(Xy,setadjoin(Xx,setadjoin(Xy,emptyset))))).
27.25/27.56	tff('108', plain,
27.25/27.56	    upairsetIR = (![X2,X3]: in(X3,setadjoin(X2,setadjoin(X3,emptyset)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(upairsetIL, axiom, upairsetIL <=>
27.25/27.56	  (![Xx,Xy]: in(Xx,setadjoin(Xx,setadjoin(Xy,emptyset))))).
27.25/27.56	tff('109', plain,
27.25/27.56	    upairsetIL = (![X2,X3]: in(X2,setadjoin(X2,setadjoin(X3,emptyset)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(upairsetE, axiom, upairsetE <=>
27.25/27.56	  (![Xx,Xy,Xz]:
27.25/27.56	     (in(Xz,setadjoin(Xx,setadjoin(Xy,emptyset))) => ((Xz = Xy) | (Xz = Xx))))).
27.25/27.56	tff('110', plain,
27.25/27.56	    upairsetE =
27.25/27.56	    (![X2,X3,X4]:
27.25/27.56	       (in(X4,setadjoin(X2,setadjoin(X3,emptyset))) =>
27.25/27.56	        ((X4 = X3) | (X4 = X2)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(singletonsswitch, axiom, singletonsswitch <=>
27.25/27.56	  (![Xx,Xy]: (in(Xx,setadjoin(Xy,emptyset)) => in(Xy,setadjoin(Xx,emptyset))))).
27.25/27.56	tff('111', plain,
27.25/27.56	    singletonsswitch =
27.25/27.56	    (![X2,X3]:
27.25/27.56	       (in(X2,setadjoin(X3,emptyset)) => in(X3,setadjoin(X2,emptyset)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(eqinunit, axiom, eqinunit <=>
27.25/27.56	  (![Xx,Xy]: ((Xx = Xy) => in(Xx,setadjoin(Xy,emptyset))))).
27.25/27.56	tff('112', plain,
27.25/27.56	    eqinunit = (![X2,X3]: ((X2 = X3) => in(X2,setadjoin(X3,emptyset)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(notinsingleton, axiom, notinsingleton <=>
27.25/27.56	  (![Xx,Xy]: ((Xx != Xy) => (~in(Xy,setadjoin(Xx,emptyset)))))).
27.25/27.56	tff('113', plain,
27.25/27.56	    notinsingleton =
27.25/27.56	    (![X2,X3]: ((X2 != X3) => (~in(X3,setadjoin(X2,emptyset))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(uniqinunit, axiom, uniqinunit <=>
27.25/27.56	  (![Xx,Xy]: (in(Xx,setadjoin(Xy,emptyset)) => (Xx = Xy)))).
27.25/27.56	tff('114', plain,
27.25/27.56	    uniqinunit = (![X2,X3]: (in(X2,setadjoin(X3,emptyset)) => (X2 = X3))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(nonemptyImpWitness, axiom, nonemptyImpWitness <=>
27.25/27.56	  (![A]: (nonempty(A) => (?[Xx]: (in(Xx,A)))))).
27.25/27.56	tff('115', plain,
27.25/27.56	    nonemptyImpWitness = (![X2]: (nonempty(X2) => (?[X3]: (in(X3,X2))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(exuE2, axiom, exuE2 <=>
27.25/27.56	  (![Xphi:($i > $o)]:
27.25/27.56	     (exu(^[Xx]: Xphi(Xx)) => (?[Xx]: (![Xy]: (Xphi(Xy) <=> (Xy = Xx))))))).
27.25/27.56	tff('116', plain,
27.25/27.56	    exuE2 =
27.25/27.56	    (![X2:($i > $o)]:
27.25/27.56	       (exu(^[V_1]: X2(V_1)) => (?[X3]: (![X4]: (X2(X4) <=> (X4 = X3)))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(subPowSU, axiom, subPowSU <=>
27.25/27.56	  (![A,Xx]: (in(Xx,A) => in(Xx,powerset(setunion(A)))))).
27.25/27.56	tff('117', plain,
27.25/27.56	    subPowSU = (![X2,X3]: (in(X3,X2) => in(X3,powerset(setunion(X2))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(setunionE, axiom, setunionE <=>
27.25/27.56	  (![A,Xx]:
27.25/27.56	     (in(Xx,setunion(A)) =>
27.25/27.56	      (![Xphi:$o]: ((![B]: (in(Xx,B) => (in(B,A) => Xphi))) => Xphi))))).
27.25/27.56	tff('118', plain,
27.25/27.56	    setunionE =
27.25/27.56	    (![X2,X3]:
27.25/27.56	       (in(X3,setunion(X2)) =>
27.25/27.56	        (![X4:$o]: ((![X5]: (in(X3,X5) => (in(X5,X2) => X4))) => X4)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(setunionI, axiom, setunionI <=>
27.25/27.56	  (![A,Xx,B]: (in(Xx,B) => (in(B,A) => in(Xx,setunion(A)))))).
27.25/27.56	tff('119', plain,
27.25/27.56	    setunionI =
27.25/27.56	    (![X2,X3,X4]: (in(X3,X4) => (in(X4,X2) => in(X3,setunion(X2))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(powersetE, axiom, powersetE <=>
27.25/27.56	  (![A,B,Xx]: (in(B,powerset(A)) => (in(Xx,B) => in(Xx,A))))).
27.25/27.56	tff('120', plain,
27.25/27.56	    powersetE =
27.25/27.56	    (![X2,X3,X4]: (in(X3,powerset(X2)) => (in(X4,X3) => in(X4,X2)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(emptyInPowerset, axiom, emptyInPowerset <=>
27.25/27.56	  (![A]: in(emptyset,powerset(A)))).
27.25/27.56	tff('121', plain, emptyInPowerset = (![X2]: in(emptyset,powerset(X2))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(emptyinPowerset, axiom, emptyinPowerset <=>
27.25/27.56	  (![A]: in(emptyset,powerset(A)))).
27.25/27.56	tff('122', plain, emptyinPowerset = (![X2]: in(emptyset,powerset(X2))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(powersetI, axiom, powersetI <=>
27.25/27.56	  (![A,B]: ((![Xx]: (in(Xx,B) => in(Xx,A))) => in(B,powerset(A))))).
27.25/27.56	tff('123', plain,
27.25/27.56	    powersetI =
27.25/27.56	    (![X2,X3]: ((![X4]: (in(X4,X3) => in(X4,X2))) => in(X3,powerset(X2)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(setoftrueEq, axiom, setoftrueEq <=>
27.25/27.56	  (![A]: (dsetconstr(A,^[Xx]: $true) = A))).
27.25/27.56	tff('124', plain, setoftrueEq = (![X2]: (dsetconstr(X2,^[V_1]: $true) = X2)),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(setadjoinOr, axiom, setadjoinOr <=>
27.25/27.56	  (![Xx,A,Xy]: (in(Xy,setadjoin(Xx,A)) => (in(Xy,A) | (Xy = Xx))))).
27.25/27.56	tff('125', plain,
27.25/27.56	    setadjoinOr =
27.25/27.56	    (![X2,X3,X4]: (in(X4,setadjoin(X2,X3)) => (in(X4,X3) | (X4 = X2)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(setadjoinE, axiom, setadjoinE <=>
27.25/27.56	  (![Xx,A,Xy]:
27.25/27.56	     (in(Xy,setadjoin(Xx,A)) =>
27.25/27.56	      (![Xphi:$o]: (((Xy = Xx) => Xphi) => ((in(Xy,A) => Xphi) => Xphi)))))).
27.25/27.56	tff('126', plain,
27.25/27.56	    setadjoinE =
27.25/27.56	    (![X2,X3,X4]:
27.25/27.56	       (in(X4,setadjoin(X2,X3)) =>
27.25/27.56	        (![X5:$o]: (((X4 = X2) => X5) => ((in(X4,X3) => X5) => X5))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(setadjoinIR, axiom, setadjoinIR <=>
27.25/27.56	  (![Xx,A,Xy]: (in(Xy,A) => in(Xy,setadjoin(Xx,A))))).
27.25/27.56	tff('127', plain,
27.25/27.56	    setadjoinIR = (![X2,X3,X4]: (in(X4,X3) => in(X4,setadjoin(X2,X3)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(emptyinunitempty, axiom, emptyinunitempty() =
27.25/27.56	  in(emptyset,setadjoin(emptyset,emptyset))).
27.25/27.56	tff('128', plain,
27.25/27.56	    emptyinunitempty = in(emptyset,setadjoin(emptyset,emptyset)),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(setadjoinIL, axiom, setadjoinIL <=> (![Xx,Xy]: in(Xx,setadjoin(Xx,Xy)))).
27.25/27.56	tff('129', plain, setadjoinIL = (![X2,X3]: in(X2,setadjoin(X2,X3))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(nonemptyI1, axiom, nonemptyI1 <=>
27.25/27.56	  (![A]: ((?[Xx]: in(Xx,A)) => nonempty(A)))).
27.25/27.56	tff('130', plain, nonemptyI1 = (![X2]: ((?[X3]: in(X3,X2)) => nonempty(X2))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(nonemptyI, axiom, nonemptyI <=>
27.25/27.56	  (![A,Xphi:($i > $o),Xx]:
27.25/27.56	     (in(Xx,A) => (Xphi(Xx) => nonempty(dsetconstr(A,^[Xy]: Xphi(Xy))))))).
27.25/27.56	tff('131', plain,
27.25/27.56	    nonemptyI =
27.25/27.56	    (![X2,X3:($i > $o),X4]:
27.25/27.56	       (in(X4,X2) => (X3(X4) => nonempty(dsetconstr(X2,^[V_1]: X3(V_1)))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(nonemptyE1, axiom, nonemptyE1 <=>
27.25/27.56	  (![A]: (nonempty(A) => (?[Xx]: in(Xx,A))))).
27.25/27.56	tff('132', plain, nonemptyE1 = (![X2]: (nonempty(X2) => (?[X3]: in(X3,X2)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(nonempty, axiom, nonempty() = ^[Xx]: (Xx != emptyset)).
27.25/27.56	tff('133', plain, nonempty = (^[V_1]: (V_1 != emptyset)),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(setbeta, axiom, setbeta <=>
27.25/27.56	  (![A,Xphi:($i > $o),Xx]:
27.25/27.56	     (in(Xx,A) => (in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))) <=> Xphi(Xx))))).
27.25/27.56	tff('134', plain,
27.25/27.56	    setbeta =
27.25/27.56	    (![X2,X3:($i > $o),X4]:
27.25/27.56	       (in(X4,X2) => (in(X4,dsetconstr(X2,^[V_1]: X3(V_1))) <=> X3(X4)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(noeltsimpempty, axiom, noeltsimpempty <=>
27.25/27.56	  (![A]: ((![Xx]: (~in(Xx,A))) => (A = emptyset)))).
27.25/27.56	tff('135', plain,
27.25/27.56	    noeltsimpempty = (![X2]: ((![X3]: (~in(X3,X2))) => (X2 = emptyset))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(emptyI, axiom, emptyI <=>
27.25/27.56	  (![A]: ((![Xx]: (~in(Xx,A))) => (A = emptyset)))).
27.25/27.56	tff('136', plain,
27.25/27.56	    emptyI = (![X2]: ((![X3]: (~in(X3,X2))) => (X2 = emptyset))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(setext, axiom, setext <=>
27.25/27.56	  (![A,B]:
27.25/27.56	     ((![Xx]: (in(Xx,A) => in(Xx,B))) =>
27.25/27.56	      ((![Xx]: (in(Xx,B) => in(Xx,A))) => (A = B))))).
27.25/27.56	tff('137', plain,
27.25/27.56	    setext =
27.25/27.56	    (![X2,X3]:
27.25/27.56	       ((![X4]: (in(X4,X2) => in(X4,X3))) =>
27.25/27.56	        ((![X5]: (in(X5,X3) => in(X5,X2))) => (X2 = X3)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(exuE3e, axiom, exuE3e <=>
27.25/27.56	  (![Xphi:($i > $o)]: (exu(^[Xx]: Xphi(Xx)) => (?[Xx]: Xphi(Xx))))).
27.25/27.56	tff('138', plain,
27.25/27.56	    exuE3e = (![X2:($i > $o)]: (exu(^[V_1]: X2(V_1)) => (?[X3]: X2(X3)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(notinemptyset, axiom, notinemptyset <=> (![Xx]: (~in(Xx,emptyset)))).
27.25/27.56	tff('139', plain, notinemptyset = (![X2]: (~in(X2,emptyset))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(emptysetimpfalse, axiom, emptysetimpfalse <=>
27.25/27.56	  (![Xx]: (in(Xx,emptyset) => $false))).
27.25/27.56	tff('140', plain, emptysetimpfalse = (![X2]: (in(X2,emptyset) => $false)),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(emptysetE, axiom, emptysetE <=>
27.25/27.56	  (![Xx]: (in(Xx,emptyset) => (![Xphi:$o]: Xphi)))).
27.25/27.56	tff('141', plain, emptysetE = (![X2]: (in(X2,emptyset) => (![X3:$o]: X3))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(prop2setE, axiom, prop2setE <=>
27.25/27.56	  (![Xphi:$o,Xx]: (in(Xx,prop2set(Xphi)) => Xphi))).
27.25/27.56	tff('142', plain, prop2setE = (![X2:$o,X3]: (in(X3,prop2set(X2)) => X2)),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(exuE1, axiom, exuE1 <=>
27.25/27.56	  (![Xphi:($i > $o)]:
27.25/27.56	     (exu(^[Xx]: Xphi(Xx)) =>
27.25/27.56	      (?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx)))))).
27.25/27.56	tff('143', plain,
27.25/27.56	    exuE1 =
27.25/27.56	    (![X2:($i > $o)]:
27.25/27.56	       (exu(^[V_1]: X2(V_1)) =>
27.25/27.56	        (?[X3]: ((![X4]: (X2(X4) => (X3 = X4))) & X2(X3))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(dsetconstrER, axiom, dsetconstrER <=>
27.25/27.56	  (![A,Xphi:($i > $o),Xx]: (in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))) => Xphi(Xx)))).
27.25/27.56	tff('144', plain,
27.25/27.56	    dsetconstrER =
27.25/27.56	    (![X2,X3:($i > $o),X4]: (in(X4,dsetconstr(X2,^[V_1]: X3(V_1))) => X3(X4))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(dsetconstrEL, axiom, dsetconstrEL <=>
27.25/27.56	  (![A,Xphi:($i > $o),Xx]: (in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))) => in(Xx,A)))).
27.25/27.56	tff('145', plain,
27.25/27.56	    dsetconstrEL =
27.25/27.56	    (![X2,X3:($i > $o),X4]:
27.25/27.56	       (in(X4,dsetconstr(X2,^[V_1]: X3(V_1))) => in(X4,X2))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(dsetconstrI, axiom, dsetconstrI <=>
27.25/27.56	  (![A,Xphi:($i > $o),Xx]:
27.25/27.56	     (in(Xx,A) => (Xphi(Xx) => in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))))))).
27.25/27.56	tff('146', plain,
27.25/27.56	    dsetconstrI =
27.25/27.56	    (![X2,X3:($i > $o),X4]:
27.25/27.56	       (in(X4,X2) => (X3(X4) => in(X4,dsetconstr(X2,^[V_1]: X3(V_1)))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(descrp, axiom, descrp <=>
27.25/27.56	  (![Xphi:($i > $o)]: (exu(^[Xx]: Xphi(Xx)) => Xphi(descr(^[Xx]: Xphi(Xx)))))).
27.25/27.56	tff('147', plain,
27.25/27.56	    descrp =
27.25/27.56	    (![X2:($i > $o)]: (exu(^[V_1]: X2(V_1)) => X2(descr(^[V_2]: X2(V_2))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(wellorderingAx, axiom, wellorderingAx <=>
27.25/27.56	  (![A]:
27.25/27.56	     (?[B]:
27.25/27.56	        ((![C]:
27.25/27.56	            (((?[Xx]: in(Xx,C)) & (![Xx]: (in(Xx,C) => in(Xx,A)))) =>
27.25/27.56	             (?[D,Xx]:
27.25/27.56	                ((![E]:
27.25/27.56	                    (in(E,B) => (in(Xx,E) | (![Xy]: (in(Xy,E) => in(Xy,D)))))) & 
27.25/27.56	                 (~(?[Xy]: (in(Xy,C) & in(Xy,D)))) & in(Xx,C) & in(D,B))))) & 
27.25/27.56	         (![C,D]:
27.25/27.56	            ((in(D,B) & in(C,B)) =>
27.25/27.56	             ((![Xx]: (in(Xx,D) => in(Xx,C))) | 
27.25/27.56	              (![Xx]: (in(Xx,C) => in(Xx,D)))))) & 
27.25/27.56	         (![Xx,Xy]:
27.25/27.56	            ((in(Xy,A) & in(Xx,A)) =>
27.25/27.56	             ((![C]: (in(C,B) => (in(Xx,C) <=> in(Xy,C)))) => (Xx = Xy)))) & 
27.25/27.56	         (![C]: (in(C,B) => (![Xx]: (in(Xx,C) => in(Xx,A))))))))).
27.25/27.56	tff('148', plain,
27.25/27.56	    wellorderingAx =
27.25/27.56	    (![X2]:
27.25/27.56	       (?[X3]:
27.25/27.56	          ((![X4]:
27.25/27.56	              (((?[X5]: in(X5,X4)) & (![X6]: (in(X6,X4) => in(X6,X2)))) =>
27.25/27.56	               (?[X7,X8]:
27.25/27.56	                  ((![X9]:
27.25/27.56	                      (in(X9,X3) =>
27.25/27.56	                       (in(X8,X9) | (![X10]: (in(X10,X9) => in(X10,X7)))))) & 
27.25/27.56	                   (~(?[X11]: (in(X11,X4) & in(X11,X7)))) & in(X8,X4) & 
27.25/27.56	                   in(X7,X3))))) & 
27.25/27.56	           (![X12,X13]:
27.25/27.56	              ((in(X13,X3) & in(X12,X3)) =>
27.25/27.56	               ((![X14]: (in(X14,X13) => in(X14,X12))) | 
27.25/27.56	                (![X15]: (in(X15,X12) => in(X15,X13)))))) & 
27.25/27.56	           (![X16,X17]:
27.25/27.56	              ((in(X17,X2) & in(X16,X2)) =>
27.25/27.56	               ((![X18]: (in(X18,X3) => (in(X16,X18) <=> in(X17,X18)))) =>
27.25/27.56	                (X16 = X17)))) & 
27.25/27.56	           (![X19]: (in(X19,X3) => (![X20]: (in(X20,X19) => in(X20,X2)))))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(foundationAx, axiom, foundationAx <=>
27.25/27.56	  (![A]:
27.25/27.56	     ((?[Xx]: in(Xx,A)) =>
27.25/27.56	      (?[B]: ((~(?[Xx]: (in(Xx,A) & in(Xx,B)))) & in(B,A)))))).
27.25/27.56	tff('149', plain,
27.25/27.56	    foundationAx =
27.25/27.56	    (![X2]:
27.25/27.56	       ((?[X3]: in(X3,X2)) =>
27.25/27.56	        (?[X4]: ((~(?[X5]: (in(X5,X2) & in(X5,X4)))) & in(X4,X2))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(replAx, axiom, replAx <=>
27.25/27.56	  (![Xphi:(($i * $i) > $o),A]:
27.25/27.56	     ((![Xx]: (in(Xx,A) => exu(^[Xy]: Xphi(Xx,Xy)))) =>
27.25/27.56	      (?[B]: (![Xx]: (in(Xx,B) <=> (?[Xy]: (Xphi(Xy,Xx) & in(Xy,A))))))))).
27.25/27.56	tff('150', plain,
27.25/27.56	    replAx =
27.25/27.56	    (![X2:(($i * $i) > $o),X3]:
27.25/27.56	       ((![X4]: (in(X4,X3) => exu(^[V_1]: X2(X4,V_1)))) =>
27.25/27.56	        (?[X5]: (![X6]: (in(X6,X5) <=> (?[X7]: (X2(X7,X6) & in(X7,X3)))))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(omegaIndAx, axiom, omegaIndAx <=>
27.25/27.56	  (![A]:
27.25/27.56	     (((![Xx]: ((in(Xx,A) & in(Xx,omega)) => in(setadjoin(Xx,Xx),A))) & 
27.25/27.56	       in(emptyset,A)) =>
27.25/27.56	      (![Xx]: (in(Xx,omega) => in(Xx,A)))))).
27.25/27.56	tff('151', plain,
27.25/27.56	    omegaIndAx =
27.25/27.56	    (![X2]:
27.25/27.56	       (((![X3]: ((in(X3,X2) & in(X3,omega)) => in(setadjoin(X3,X3),X2))) & 
27.25/27.56	         in(emptyset,X2)) =>
27.25/27.56	        (![X4]: (in(X4,omega) => in(X4,X2))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(omegaSAx, axiom, omegaSAx <=>
27.25/27.56	  (![Xx]: (in(Xx,omega) => in(setadjoin(Xx,Xx),omega)))).
27.25/27.56	tff('152', plain,
27.25/27.56	    omegaSAx = (![X2]: (in(X2,omega) => in(setadjoin(X2,X2),omega))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(omega0Ax, axiom, omega0Ax() = in(emptyset,omega)).
27.25/27.56	tff('153', plain, omega0Ax = in(emptyset,omega), define([status(thm)])).
27.25/27.56	tff(setunionAx, axiom, setunionAx <=>
27.25/27.56	  (![A,Xx]: (in(Xx,setunion(A)) <=> (?[B]: (in(B,A) & in(Xx,B)))))).
27.25/27.56	tff('154', plain,
27.25/27.56	    setunionAx =
27.25/27.56	    (![X2,X3]: (in(X3,setunion(X2)) <=> (?[X4]: (in(X4,X2) & in(X3,X4))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(powersetAx, axiom, powersetAx <=>
27.25/27.56	  (![A,B]: (in(B,powerset(A)) <=> (![Xx]: (in(Xx,B) => in(Xx,A)))))).
27.25/27.56	tff('155', plain,
27.25/27.56	    powersetAx =
27.25/27.56	    (![X2,X3]: (in(X3,powerset(X2)) <=> (![X4]: (in(X4,X3) => in(X4,X2))))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(setadjoinAx, axiom, setadjoinAx <=>
27.25/27.56	  (![Xx,A,Xy]: (in(Xy,setadjoin(Xx,A)) <=> (in(Xy,A) | (Xy = Xx))))).
27.25/27.56	tff('156', plain,
27.25/27.56	    setadjoinAx =
27.25/27.56	    (![X2,X3,X4]: (in(X4,setadjoin(X2,X3)) <=> (in(X4,X3) | (X4 = X2)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(emptysetAx, axiom, emptysetAx <=> (![Xx]: (~in(Xx,emptyset)))).
27.25/27.56	tff('157', plain, emptysetAx = (![X2]: (~in(X2,emptyset))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(setextAx, axiom, setextAx <=>
27.25/27.56	  (![A,B]: ((![Xx]: (in(Xx,A) <=> in(Xx,B))) => (A = B)))).
27.25/27.56	tff('158', plain,
27.25/27.56	    setextAx = (![X2,X3]: ((![X4]: (in(X4,X2) <=> in(X4,X3))) => (X2 = X3))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(exu, axiom, exu() =
27.25/27.56	  ^[Xphi:($i > $o)]: (?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx)))).
27.25/27.56	tff('159', plain,
27.25/27.56	    exu =
27.25/27.56	    (^[V_1:($i > $o)]: (?[X2]: ((![X3]: (V_1(X3) => (X2 = X3))) & V_1(X2)))),
27.25/27.56	    define([status(thm)])).
27.25/27.56	tff(ex1E1, conjecture,
27.25/27.56	  (setextAx =>
27.25/27.56	   (emptysetAx =>
27.25/27.56	    (setadjoinAx =>
27.25/27.56	     (powersetAx =>
27.25/27.56	      (setunionAx =>
27.25/27.56	       (omega0Ax =>
27.25/27.56	        (omegaSAx =>
27.25/27.56	         (omegaIndAx =>
27.25/27.56	          (replAx =>
27.25/27.56	           (foundationAx =>
27.25/27.56	            (wellorderingAx =>
27.25/27.56	             (descrp =>
27.25/27.56	              (dsetconstrI =>
27.25/27.56	               (dsetconstrEL =>
27.25/27.56	                (dsetconstrER =>
27.25/27.56	                 (exuE1 =>
27.25/27.56	                  (prop2setE =>
27.25/27.56	                   (emptysetE =>
27.25/27.56	                    (emptysetimpfalse =>
27.25/27.56	                     (notinemptyset =>
27.25/27.56	                      (exuE3e =>
27.25/27.56	                       (setext =>
27.25/27.56	                        (emptyI =>
27.25/27.56	                         (noeltsimpempty =>
27.25/27.56	                          (setbeta =>
27.25/27.56	                           (nonemptyE1 =>
27.25/27.56	                            (nonemptyI =>
27.25/27.56	                             (nonemptyI1 =>
27.25/27.56	                              (setadjoinIL =>
27.25/27.56	                               (emptyinunitempty =>
27.25/27.56	                                (setadjoinIR =>
27.25/27.56	                                 (setadjoinE =>
27.25/27.56	                                  (setadjoinOr =>
27.25/27.56	                                   (setoftrueEq =>
27.25/27.56	                                    (powersetI =>
27.25/27.56	                                     (emptyinPowerset =>
27.25/27.56	                                      (emptyInPowerset =>
27.25/27.56	                                       (powersetE =>
27.25/27.56	                                        (setunionI =>
27.25/27.56	                                         (setunionE =>
27.25/27.56	                                          (subPowSU =>
27.25/27.56	                                           (exuE2 =>
27.25/27.56	                                            (nonemptyImpWitness =>
27.25/27.56	                                             (uniqinunit =>
27.25/27.56	                                              (notinsingleton =>
27.25/27.56	                                               (eqinunit =>
27.25/27.56	                                                (singletonsswitch =>
27.25/27.56	                                                 (upairsetE =>
27.25/27.56	                                                  (upairsetIL =>
27.25/27.56	                                                   (upairsetIR =>
27.25/27.56	                                                    (emptyE1 =>
27.25/27.56	                                                     (vacuousDall =>
27.25/27.56	                                                      (quantDeMorgan1 =>
27.25/27.56	                                                       (quantDeMorgan2 =>
27.25/27.56	                                                        (quantDeMorgan3 =>
27.25/27.56	                                                         (quantDeMorgan4 =>
27.25/27.56	                                                          (prop2setI =>
27.25/27.56	                                                           (prop2set2propI =>
27.25/27.56	                                                            (notdexE =>
27.25/27.56	                                                             (notdallE =>
27.25/27.56	                                                              (exuI1 =>
27.25/27.56	                                                               (exuI3 =>
27.25/27.56	                                                                (exuI2 =>
27.25/27.56	                                                                 (inCongP =>
27.25/27.56	                                                                  (in__Cong =>
27.25/27.56	                                                                   (exuE3u =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    exu__Cong =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    emptyset__Cong =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    setadjoin__Cong =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    powerset__Cong =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    setunion__Cong =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    omega__Cong =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    exuEu =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    descr__Cong =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    dsetconstr__Cong =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    subsetI1 =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    eqimpsubset2 =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    eqimpsubset1 =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    subsetI2 =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    emptysetsubset =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    subsetE =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    subsetE2 =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    notsubsetI =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    notequalI1 =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    notequalI2 =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    subsetRefl =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    subsetTrans =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    setadjoinSub =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    setadjoinSub2 =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    subset2powerset =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    setextsub =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    subsetemptysetimpeq =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    powersetI1 =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    powersetE1 =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    inPowerset =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    powersetsubset =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    sepInPowerset =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    sepSubset =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    binunionIL =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    upairset2IR =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    binunionIR =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    binunionEcases =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    binunionE =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    binunionLsub =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    binunionRsub =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    binintersectI =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    binintersectSubset5 =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    binintersectEL =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    binintersectLsub =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    binintersectSubset2 =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    binintersectSubset3 =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    binintersectER =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    disjointsetsI1 =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    binintersectRsub =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    binintersectSubset4 =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    binintersectSubset1 =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    bs114d =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    setminusI =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    setminusEL =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    setminusER =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    setminusSubset2 =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    setminusERneg =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    setminusELneg =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    setminusILneg =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    setminusIRneg =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    setminusLsub =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    setminusSubset1 =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    symdiffE =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    symdiffI1 =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    symdiffI2 =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    symdiffIneg1 =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    symdiffIneg2 =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    secondinupair =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    setukpairIL =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    setukpairIR =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    kpairiskpair =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    kpairp =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    singletonsubset =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    singletoninpowerset =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    singletoninpowunion =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    upairset2E =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    upairsubunion =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    upairinpowunion =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ubforcartprodlem1 =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ubforcartprodlem2 =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ubforcartprodlem3 =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    cartprodpairin =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    cartprodmempair1 =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    cartprodmempair =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    setunionE2 =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    setunionsingleton1 =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    setunionsingleton2 =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    setunionsingleton =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    singletonprop =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![A,
27.25/27.56	                                                                    Xphi:(
27.25/27.56	                                                                    $i > $o)]:
27.25/27.56	                                                                    (ex1(
27.25/27.56	                                                                    A,
27.25/27.56	                                                                    ^[Xx]:
27.25/27.56	                                                                    Xphi(Xx)) =>
27.25/27.56	                                                                    (?[Xx]:
27.25/27.56	                                                                    (Xphi(Xx) & 
27.25/27.56	                                                                    in(Xx,A)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))).
27.25/27.56	tff(zf_stmt_0, conjecture,
27.25/27.56	  ((![X2,X3]: ((![X4]: (in(X4,X2) <=> in(X4,X3))) => (X2 = X3))) =>
27.25/27.56	   ((![X5]: (~in(X5,emptyset))) =>
27.25/27.56	    ((![X6,X7,X8]: (in(X8,setadjoin(X6,X7)) <=> ((X8 = X6) | in(X8,X7)))) =>
27.25/27.56	     ((![X9,X10]:
27.25/27.56	         (in(X10,powerset(X9)) <=> (![X11]: (in(X11,X10) => in(X11,X9))))) =>
27.25/27.56	      ((![X12,X13]:
27.25/27.56	          (in(X13,setunion(X12)) <=> (?[X14]: (in(X13,X14) & in(X14,X12))))) =>
27.25/27.56	       (in(emptyset,omega) =>
27.25/27.56	        ((![X15]: (in(X15,omega) => in(setadjoin(X15,X15),omega))) =>
27.25/27.56	         ((![X16]:
27.25/27.56	             ((in(emptyset,X16) & 
27.25/27.56	               (![X17]:
27.25/27.56	                  ((in(X17,omega) & in(X17,X16)) =>
27.25/27.56	                   in(setadjoin(X17,X17),X16)))) =>
27.25/27.56	              (![X18]: (in(X18,omega) => in(X18,X16))))) =>
27.25/27.56	          ((![X19:(($i * $i) > $o),X20]:
27.25/27.56	              ((![X21]:
27.25/27.56	                  (in(X21,X20) =>
27.25/27.56	                   (?[X22]:
27.25/27.56	                      (X19(X21,X22) & (![X23]: (X19(X21,X23) => (X22 = X23))))))) =>
27.25/27.56	               (?[X24]:
27.25/27.56	                  (![X25]:
27.25/27.56	                     (in(X25,X24) <=> (?[X26]: (in(X26,X20) & X19(X26,X25)))))))) =>
27.25/27.56	           ((![X27]:
27.25/27.56	               ((?[X28]: in(X28,X27)) =>
27.25/27.56	                (?[X29]:
27.25/27.56	                   (in(X29,X27) & (~(?[X30]: (in(X30,X29) & in(X30,X27)))))))) =>
27.25/27.56	            ((![X31]:
27.25/27.56	                (?[X32]:
27.25/27.56	                   ((![X48]:
27.25/27.56	                       (in(X48,X32) => (![X49]: (in(X49,X48) => in(X49,X31))))) & 
27.25/27.56	                    (![X45,X46]:
27.25/27.56	                       ((in(X45,X31) & in(X46,X31)) =>
27.25/27.56	                        ((![X47]:
27.25/27.56	                            (in(X47,X32) => (in(X45,X47) <=> in(X46,X47)))) =>
27.25/27.56	                         (X45 = X46)))) & 
27.25/27.56	                    (![X41,X42]:
27.25/27.56	                       ((in(X41,X32) & in(X42,X32)) =>
27.25/27.56	                        ((![X44]: (in(X44,X41) => in(X44,X42))) | 
27.25/27.56	                         (![X43]: (in(X43,X42) => in(X43,X41)))))) & 
27.25/27.56	                    (![X33]:
27.25/27.56	                       (((![X35]: (in(X35,X33) => in(X35,X31))) & 
27.25/27.56	                         (?[X34]: in(X34,X33))) =>
27.25/27.56	                        (?[X36,X37]:
27.25/27.56	                           (in(X36,X32) & in(X37,X33) & 
27.25/27.56	                            (~(?[X40]: (in(X40,X36) & in(X40,X33)))) & 
27.25/27.56	                            (![X38]:
27.25/27.56	                               (in(X38,X32) =>
27.25/27.56	                                ((![X39]: (in(X39,X38) => in(X39,X36))) | 
27.25/27.56	                                 in(X37,X38))))))))))) =>
27.25/27.56	             ((![X50:($i > $o)]:
27.25/27.56	                 ((?[X51]: (X50(X51) & (![X52]: (X50(X52) => (X51 = X52))))) =>
27.25/27.56	                  X50(descr(^[V_1]: X50(V_1))))) =>
27.25/27.56	              ((![X53,X54:($i > $o),X55]:
27.25/27.56	                  (in(X55,X53) =>
27.25/27.56	                   (X54(X55) => in(X55,dsetconstr(X53,^[V_2]: X54(V_2)))))) =>
27.25/27.56	               ((![X56,X57:($i > $o),X58]:
27.25/27.56	                   (in(X58,dsetconstr(X56,^[V_3]: X57(V_3))) => in(X58,X56))) =>
27.25/27.56	                ((![X59,X60:($i > $o),X61]:
27.25/27.56	                    (in(X61,dsetconstr(X59,^[V_4]: X60(V_4))) => X60(X61))) =>
27.25/27.56	                 ((![X62:($i > $o)]:
27.25/27.56	                     ((?[X63]:
27.25/27.56	                         (X62(X63) & (![X64]: (X62(X64) => (X63 = X64))))) =>
27.25/27.56	                      (?[X65]:
27.25/27.56	                         (X62(X65) & (![X66]: (X62(X66) => (X65 = X66))))))) =>
27.25/27.56	                  ((![X67:$o,X68]: (in(X68,prop2set(X67)) => X67)) =>
27.25/27.56	                   ((![X69]: (in(X69,emptyset) => (![X70:$o]: X70))) =>
27.25/27.56	                    ((![X71]: (in(X71,emptyset) => $false)) =>
27.25/27.56	                     ((![X72]: (~in(X72,emptyset))) =>
27.25/27.56	                      ((![X73:($i > $o)]:
27.25/27.56	                          ((?[X74]:
27.25/27.56	                              (X73(X74) & (![X75]: (X73(X75) => (X74 = X75))))) =>
27.25/27.56	                           (?[X76]: X73(X76)))) =>
27.25/27.56	                       ((![X77,X78]:
27.25/27.56	                           ((![X79]: (in(X79,X77) => in(X79,X78))) =>
27.25/27.56	                            ((![X80]: (in(X80,X78) => in(X80,X77))) =>
27.25/27.56	                             (X77 = X78)))) =>
27.25/27.56	                        ((![X81]:
27.25/27.56	                            ((![X82]: (~in(X82,X81))) => (X81 = emptyset))) =>
27.25/27.56	                         ((![X83]:
27.25/27.56	                             ((![X84]: (~in(X84,X83))) => (X83 = emptyset))) =>
27.25/27.56	                          ((![X85,X86:($i > $o),X87]:
27.25/27.56	                              (in(X87,X85) =>
27.25/27.56	                               (in(X87,dsetconstr(X85,^[V_5]: X86(V_5))) <=>
27.25/27.56	                                X86(X87)))) =>
27.25/27.56	                           ((![X88]:
27.25/27.56	                               ((X88 != emptyset) => (?[X89]: in(X89,X88)))) =>
27.25/27.56	                            ((![X90,X91:($i > $o),X92]:
27.25/27.56	                                (in(X92,X90) =>
27.25/27.56	                                 (X91(X92) =>
27.25/27.56	                                  (dsetconstr(X90,^[V_6]: X91(V_6)) !=
27.25/27.56	                                   emptyset)))) =>
27.25/27.56	                             ((![X93]:
27.25/27.56	                                 ((?[X94]: in(X94,X93)) => (X93 != emptyset))) =>
27.25/27.56	                              ((![X95,X96]: in(X95,setadjoin(X95,X96))) =>
27.25/27.56	                               (in(emptyset,setadjoin(emptyset,emptyset)) =>
27.25/27.56	                                ((![X97,X98,X99]:
27.25/27.56	                                    (in(X99,X98) =>
27.25/27.56	                                     in(X99,setadjoin(X97,X98)))) =>
27.25/27.56	                                 ((![X100,X101,X102]:
27.25/27.56	                                     (in(X102,setadjoin(X100,X101)) =>
27.25/27.56	                                      (![X103:$o]:
27.25/27.56	                                         (((X102 = X100) => X103) =>
27.25/27.56	                                          ((in(X102,X101) => X103) => X103))))) =>
27.25/27.56	                                  ((![X104,X105,X106]:
27.25/27.56	                                      (in(X106,setadjoin(X104,X105)) =>
27.25/27.56	                                       ((X106 = X104) | in(X106,X105)))) =>
27.25/27.56	                                   ((![X107]:
27.25/27.56	                                       (dsetconstr(X107,^[V_7]: $true) = X107)) =>
27.25/27.56	                                    ((![X108,X109]:
27.25/27.56	                                        ((![X110]:
27.25/27.56	                                            (in(X110,X109) => in(X110,X108))) =>
27.25/27.56	                                         in(X109,powerset(X108)))) =>
27.25/27.56	                                     ((![X111]: in(emptyset,powerset(X111))) =>
27.25/27.56	                                      ((![X112]: in(emptyset,powerset(X112))) =>
27.25/27.56	                                       ((![X113,X114,X115]:
27.25/27.56	                                           (in(X114,powerset(X113)) =>
27.25/27.56	                                            (in(X115,X114) => in(X115,X113)))) =>
27.25/27.56	                                        ((![X116,X117,X118]:
27.25/27.56	                                            (in(X117,X118) =>
27.25/27.56	                                             (in(X118,X116) =>
27.25/27.56	                                              in(X117,setunion(X116))))) =>
27.25/27.56	                                         ((![X119,X120]:
27.25/27.56	                                             (in(X120,setunion(X119)) =>
27.25/27.56	                                              (![X121:$o]:
27.25/27.56	                                                 ((![X122]:
27.25/27.56	                                                     (in(X120,X122) =>
27.25/27.56	                                                      (in(X122,X119) => X121))) =>
27.25/27.56	                                                  X121)))) =>
27.25/27.56	                                          ((![X123,X124]:
27.25/27.56	                                              (in(X124,X123) =>
27.25/27.56	                                               in(X124,
27.25/27.56	                                                  powerset(setunion(X123))))) =>
27.25/27.56	                                           ((![X125:($i > $o)]:
27.25/27.56	                                               ((?[X126]:
27.25/27.56	                                                   (X125(X126) & 
27.25/27.56	                                                    (![X127]:
27.25/27.56	                                                       (X125(X127) =>
27.25/27.56	                                                        (X126 = X127))))) =>
27.25/27.56	                                                (?[X128]:
27.25/27.56	                                                   (![X129]:
27.25/27.56	                                                      (X125(X129) <=>
27.25/27.56	                                                       (X129 = X128)))))) =>
27.25/27.56	                                            ((![X130]:
27.25/27.56	                                                ((X130 != emptyset) =>
27.25/27.56	                                                 (?[X131]: in(X131,X130)))) =>
27.25/27.56	                                             ((![X132,X133]:
27.25/27.56	                                                 (in(X132,
27.25/27.56	                                                     setadjoin(X133,emptyset)) =>
27.25/27.56	                                                  (X132 = X133))) =>
27.25/27.56	                                              ((![X134,X135]:
27.25/27.56	                                                  ((X134 != X135) =>
27.25/27.56	                                                   (~
27.25/27.56	                                                     in(X135,
27.25/27.56	                                                        setadjoin(X134,
27.25/27.56	                                                                  emptyset))))) =>
27.25/27.56	                                               ((![X136,X137]:
27.25/27.56	                                                   ((X136 = X137) =>
27.25/27.56	                                                    in(X136,
27.25/27.56	                                                       setadjoin(X137,
27.25/27.56	                                                                 emptyset)))) =>
27.25/27.56	                                                ((![X138,X139]:
27.25/27.56	                                                    (in(X138,
27.25/27.56	                                                        setadjoin(X139,
27.25/27.56	                                                                  emptyset)) =>
27.25/27.56	                                                     in(X139,
27.25/27.56	                                                        setadjoin(X138,
27.25/27.56	                                                                  emptyset)))) =>
27.25/27.56	                                                 ((![X140,X141,X142]:
27.25/27.56	                                                     (in(X142,
27.25/27.56	                                                         setadjoin(X140,
27.25/27.56	                                                                   setadjoin(
27.25/27.56	                                                                   X141,
27.25/27.56	                                                                   emptyset))) =>
27.25/27.56	                                                      ((X142 = X140) | 
27.25/27.56	                                                       (X142 = X141)))) =>
27.25/27.56	                                                  ((![X143,X144]:
27.25/27.56	                                                      in(X143,
27.25/27.56	                                                         setadjoin(X143,
27.25/27.56	                                                                   setadjoin(
27.25/27.56	                                                                   X144,
27.25/27.56	                                                                   emptyset)))) =>
27.25/27.56	                                                   ((![X145,X146]:
27.25/27.56	                                                       in(X146,
27.25/27.56	                                                          setadjoin(X145,
27.25/27.56	                                                                    setadjoin(
27.25/27.56	                                                                    X146,
27.25/27.56	                                                                    emptyset)))) =>
27.25/27.56	                                                    ((![X147,X148:($i > $o)]:
27.25/27.56	                                                        ((?[X149]:
27.25/27.56	                                                            (in(X149,X147) & 
27.25/27.56	                                                             X148(X149))) =>
27.25/27.56	                                                         ((dsetconstr(
27.25/27.56	                                                           X147,
27.25/27.56	                                                           ^[V_8]: X148(V_8)) =
27.25/27.56	                                                           emptyset) =>
27.25/27.56	                                                          $false))) =>
27.25/27.56	                                                     ((![X150:($i > $o),X151]:
27.25/27.56	                                                         (in(X151,emptyset) =>
27.25/27.56	                                                          X150(X151))) =>
27.25/27.56	                                                      ((![X152,X153:($i > $o)]:
27.25/27.56	                                                          ((~
27.25/27.56	                                                             (![X154]:
27.25/27.56	                                                                (in(X154,X152) =>
27.25/27.56	                                                                 X153(X154)))) =>
27.25/27.56	                                                           (?[X155]:
27.25/27.56	                                                              (in(X155,X152) & 
27.25/27.56	                                                               (~X153(X155)))))) =>
27.25/27.56	                                                       ((![X156,
27.25/27.56	                                                           X157:($i > $o)]:
27.25/27.56	                                                           ((![X158]:
27.25/27.56	                                                               (in(X158,X156) =>
27.25/27.56	                                                                (~X157(X158)))) =>
27.25/27.56	                                                            (~
27.25/27.56	                                                              (?[X159]:
27.25/27.56	                                                                 (in(
27.25/27.56	                                                                  X159,X156) & 
27.25/27.56	                                                                  X157(X159)))))) =>
27.25/27.56	                                                        ((![X160,
27.25/27.56	                                                            X161:($i > $o)]:
27.25/27.56	                                                            ((~
27.25/27.56	                                                               (?[X162]:
27.25/27.56	                                                                  (in(
27.25/27.56	                                                                   X162,X160) & 
27.25/27.56	                                                                   X161(X162)))) =>
27.25/27.56	                                                             (![X163]:
27.25/27.56	                                                                (in(X163,X160) =>
27.25/27.56	                                                                 (~X161(X163)))))) =>
27.25/27.56	                                                         ((![X164,
27.25/27.56	                                                             X165:($i > $o)]:
27.25/27.56	                                                             ((?[X166]:
27.25/27.56	                                                                 (in(
27.25/27.56	                                                                  X166,X164) & 
27.25/27.56	                                                                  (~
27.25/27.56	                                                                    X165(
27.25/27.56	                                                                    X166)))) =>
27.25/27.56	                                                              (~
27.25/27.56	                                                                (![X167]:
27.25/27.56	                                                                   (in(
27.25/27.56	                                                                    X167,X164) =>
27.25/27.56	                                                                    X165(
27.25/27.56	                                                                    X167)))))) =>
27.25/27.56	                                                          ((![X168:$o]:
27.25/27.56	                                                              (X168 =>
27.25/27.56	                                                               in(emptyset,
27.25/27.56	                                                                  prop2set(
27.25/27.56	                                                                  X168)))) =>
27.25/27.56	                                                           ((![X169:$o]:
27.25/27.56	                                                               (X169 =>
27.25/27.56	                                                                set2prop(
27.25/27.56	                                                                prop2set(
27.25/27.56	                                                                X169)))) =>
27.25/27.56	                                                            ((![X170,
27.25/27.56	                                                                X171:(
27.25/27.56	                                                                $i > $o)]:
27.25/27.56	                                                                ((~
27.25/27.56	                                                                   (?[X172]:
27.25/27.56	                                                                    (in(
27.25/27.56	                                                                    X172,X170) & 
27.25/27.56	                                                                    X171(
27.25/27.56	                                                                    X172)))) =>
27.25/27.56	                                                                 (![X173]:
27.25/27.56	                                                                    (
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X173,X170) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ~
27.25/27.56	                                                                    X171(
27.25/27.56	                                                                    X173)))))) =>
27.25/27.56	                                                             ((![X174,
27.25/27.56	                                                                 X175:(
27.25/27.56	                                                                 $i > $o)]:
27.25/27.56	                                                                 ((~
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X176]:
27.25/27.56	                                                                    (in(
27.25/27.56	                                                                    X176,X174) =>
27.25/27.56	                                                                    X175(
27.25/27.56	                                                                    X176)))) =>
27.25/27.56	                                                                  (?[X177]:
27.25/27.56	                                                                    (in(
27.25/27.56	                                                                    X177,X174) & 
27.25/27.56	                                                                    (~
27.25/27.56	                                                                    X175(
27.25/27.56	                                                                    X177)))))) =>
27.25/27.56	                                                              ((![X178:(
27.25/27.56	                                                                  $i > $o)]:
27.25/27.56	                                                                  ((?[X179]:
27.25/27.56	                                                                    (X178(
27.25/27.56	                                                                    X179) & 
27.25/27.56	                                                                    (![X180]:
27.25/27.56	                                                                    (X178(
27.25/27.56	                                                                    X180) =>
27.25/27.56	                                                                    (X179 =
27.25/27.56	                                                                    X180))))) =>
27.25/27.56	                                                                   (?[X181]:
27.25/27.56	                                                                    (X178(
27.25/27.56	                                                                    X181) & 
27.25/27.56	                                                                    (![X182]:
27.25/27.56	                                                                    (X178(
27.25/27.56	                                                                    X182) =>
27.25/27.56	                                                                    (X181 =
27.25/27.56	                                                                    X182))))))) =>
27.25/27.56	                                                               ((![X183:(
27.25/27.56	                                                                   $i > $o)]:
27.25/27.56	                                                                   ((
27.25/27.56	                                                                    ?[X184]:
27.25/27.56	                                                                    X183(
27.25/27.56	                                                                    X184)) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X185,
27.25/27.56	                                                                    X186]:
27.25/27.56	                                                                    (X183(
27.25/27.56	                                                                    X185) =>
27.25/27.56	                                                                    (X183(
27.25/27.56	                                                                    X186) =>
27.25/27.56	                                                                    (X185 =
27.25/27.56	                                                                    X186)))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ?[X187]:
27.25/27.56	                                                                    (X183(
27.25/27.56	                                                                    X187) & 
27.25/27.56	                                                                    (![X188]:
27.25/27.56	                                                                    (X183(
27.25/27.56	                                                                    X188) =>
27.25/27.56	                                                                    (X187 =
27.25/27.56	                                                                    X188)))))))) =>
27.25/27.56	                                                                ((![X189:(
27.25/27.56	                                                                    $i > $o)]:
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ?[X190]:
27.25/27.56	                                                                    (![X191]:
27.25/27.56	                                                                    (X189(
27.25/27.56	                                                                    X191) <=>
27.25/27.56	                                                                    (X191 =
27.25/27.56	                                                                    X190)))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ?[X192]:
27.25/27.56	                                                                    (X189(
27.25/27.56	                                                                    X192) & 
27.25/27.56	                                                                    (![X193]:
27.25/27.56	                                                                    (X189(
27.25/27.56	                                                                    X193) =>
27.25/27.56	                                                                    (X192 =
27.25/27.56	                                                                    X193))))))) =>
27.25/27.56	                                                                 ((![X194,
27.25/27.56	                                                                    X195]:
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    X194 =
27.25/27.56	                                                                    X195) =>
27.25/27.56	                                                                    (![X196,
27.25/27.56	                                                                    X197]:
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    X196 =
27.25/27.56	                                                                    X197) =>
27.25/27.56	                                                                    (in(
27.25/27.56	                                                                    X196,X194) =>
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X197,X195)))))) =>
27.25/27.56	                                                                  ((![X198,
27.25/27.56	                                                                    X199]:
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    X198 =
27.25/27.56	                                                                    X199) =>
27.25/27.56	                                                                    (![X200,
27.25/27.56	                                                                    X201]:
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    X200 =
27.25/27.56	                                                                    X201) =>
27.25/27.56	                                                                    (in(
27.25/27.56	                                                                    X200,X198) <=>
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X201,X199)))))) =>
27.25/27.56	                                                                   ((
27.25/27.56	                                                                    ![X202:(
27.25/27.56	                                                                    $i > $o)]:
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    ?[X203]:
27.25/27.56	                                                                    (X202(
27.25/27.56	                                                                    X203) & 
27.25/27.56	                                                                    (![X204]:
27.25/27.56	                                                                    (X202(
27.25/27.56	                                                                    X204) =>
27.25/27.56	                                                                    (X203 =
27.25/27.56	                                                                    X204))))) =>
27.25/27.56	                                                                    (![X205,
27.25/27.56	                                                                    X206]:
27.25/27.56	                                                                    (X202(
27.25/27.56	                                                                    X205) =>
27.25/27.56	                                                                    (X202(
27.25/27.56	                                                                    X206) =>
27.25/27.56	                                                                    (X205 =
27.25/27.56	                                                                    X206)))))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X207:(
27.25/27.56	                                                                    $i > $o),
27.25/27.56	                                                                    X208:(
27.25/27.56	                                                                    $i > $o)]:
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    ![X209,
27.25/27.56	                                                                    X210]:
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    X209 =
27.25/27.56	                                                                    X210) =>
27.25/27.56	                                                                    (X207(
27.25/27.56	                                                                    X209) <=>
27.25/27.56	                                                                    X208(
27.25/27.56	                                                                    X210)))) =>
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    ?[X211]:
27.25/27.56	                                                                    (X207(
27.25/27.56	                                                                    X211) & 
27.25/27.56	                                                                    (![X212]:
27.25/27.56	                                                                    (X207(
27.25/27.56	                                                                    X212) =>
27.25/27.56	                                                                    (X211 =
27.25/27.56	                                                                    X212))))) <=>
27.25/27.56	                                                                    (?[X213]:
27.25/27.56	                                                                    (X208(
27.25/27.56	                                                                    X213) & 
27.25/27.56	                                                                    (![X214]:
27.25/27.56	                                                                    (X208(
27.25/27.56	                                                                    X214) =>
27.25/27.56	                                                                    (X213 =
27.25/27.56	                                                                    X214)))))))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    emptyset =
27.25/27.56	                                                                    emptyset) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X215,
27.25/27.56	                                                                    X216]:
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    X215 =
27.25/27.56	                                                                    X216) =>
27.25/27.56	                                                                    (![X217,
27.25/27.56	                                                                    X218]:
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    X217 =
27.25/27.56	                                                                    X218) =>
27.25/27.56	                                                                    (setadjoin(
27.25/27.56	                                                                    X215,X217) =
27.25/27.56	                                                                    setadjoin(
27.25/27.56	                                                                    X216,X218)))))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X219,
27.25/27.56	                                                                    X220]:
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    X219 =
27.25/27.56	                                                                    X220) =>
27.25/27.56	                                                                    (powerset(
27.25/27.56	                                                                    X219) =
27.25/27.56	                                                                    powerset(
27.25/27.56	                                                                    X220)))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X221,
27.25/27.56	                                                                    X222]:
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    X221 =
27.25/27.56	                                                                    X222) =>
27.25/27.56	                                                                    (setunion(
27.25/27.56	                                                                    X221) =
27.25/27.56	                                                                    setunion(
27.25/27.56	                                                                    X222)))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    omega =
27.25/27.56	                                                                    omega) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X223:(
27.25/27.56	                                                                    $i > $o)]:
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    ?[X224]:
27.25/27.56	                                                                    (X223(
27.25/27.56	                                                                    X224) & 
27.25/27.56	                                                                    (![X225]:
27.25/27.56	                                                                    (X223(
27.25/27.56	                                                                    X225) =>
27.25/27.56	                                                                    (X224 =
27.25/27.56	                                                                    X225))))) =>
27.25/27.56	                                                                    (![X226,
27.25/27.56	                                                                    X227]:
27.25/27.56	                                                                    (X223(
27.25/27.56	                                                                    X226) =>
27.25/27.56	                                                                    (X223(
27.25/27.56	                                                                    X227) =>
27.25/27.56	                                                                    (X226 =
27.25/27.56	                                                                    X227)))))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X228:(
27.25/27.56	                                                                    $i > $o),
27.25/27.56	                                                                    X229:(
27.25/27.56	                                                                    $i > $o)]:
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    ![X230,
27.25/27.56	                                                                    X231]:
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    X230 =
27.25/27.56	                                                                    X231) =>
27.25/27.56	                                                                    (X228(
27.25/27.56	                                                                    X230) <=>
27.25/27.56	                                                                    X229(
27.25/27.56	                                                                    X231)))) =>
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    ?[X232]:
27.25/27.56	                                                                    (X228(
27.25/27.56	                                                                    X232) & 
27.25/27.56	                                                                    (![X233]:
27.25/27.56	                                                                    (X228(
27.25/27.56	                                                                    X233) =>
27.25/27.56	                                                                    (X232 =
27.25/27.56	                                                                    X233))))) =>
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    ?[X234]:
27.25/27.56	                                                                    (X229(
27.25/27.56	                                                                    X234) & 
27.25/27.56	                                                                    (![X235]:
27.25/27.56	                                                                    (X229(
27.25/27.56	                                                                    X235) =>
27.25/27.56	                                                                    (X234 =
27.25/27.56	                                                                    X235))))) =>
27.25/27.56	                                                                    (descr(
27.25/27.56	                                                                    ^[V_9]:
27.25/27.56	                                                                    X228(V_9)) =
27.25/27.56	                                                                    descr(
27.25/27.56	                                                                    ^[V_10]:
27.25/27.56	                                                                    X229(
27.25/27.56	                                                                    V_10))))))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X236,
27.25/27.56	                                                                    X237]:
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    X236 =
27.25/27.56	                                                                    X237) =>
27.25/27.56	                                                                    (![X238:(
27.25/27.56	                                                                    $i > $o),
27.25/27.56	                                                                    X239:(
27.25/27.56	                                                                    $i > $o)]:
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    ![X240]:
27.25/27.56	                                                                    (in(
27.25/27.56	                                                                    X240,X236) =>
27.25/27.56	                                                                    (![X241]:
27.25/27.56	                                                                    (in(
27.25/27.56	                                                                    X241,X237) =>
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    X240 =
27.25/27.56	                                                                    X241) =>
27.25/27.56	                                                                    (X238(
27.25/27.56	                                                                    X240) <=>
27.25/27.56	                                                                    X239(
27.25/27.56	                                                                    X241))))))) =>
27.25/27.56	                                                                    (dsetconstr(
27.25/27.56	                                                                    X236,
27.25/27.56	                                                                    ^[V_11]:
27.25/27.56	                                                                    X238(
27.25/27.56	                                                                    V_11)) =
27.25/27.56	                                                                    dsetconstr(
27.25/27.56	                                                                    X237,
27.25/27.56	                                                                    ^[V_12]:
27.25/27.56	                                                                    X239(
27.25/27.56	                                                                    V_12))))))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X242,
27.25/27.56	                                                                    X243]:
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    ![X244]:
27.25/27.56	                                                                    (in(
27.25/27.56	                                                                    X244,X242) =>
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X244,X243))) =>
27.25/27.56	                                                                    subset(
27.25/27.56	                                                                    X242,X243))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X245,
27.25/27.56	                                                                    X246]:
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    X245 =
27.25/27.56	                                                                    X246) =>
27.25/27.56	                                                                    subset(
27.25/27.56	                                                                    X246,X245))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X247,
27.25/27.56	                                                                    X248]:
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    X247 =
27.25/27.56	                                                                    X248) =>
27.25/27.56	                                                                    subset(
27.25/27.56	                                                                    X247,X248))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X249,
27.25/27.56	                                                                    X250]:
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    ![X251]:
27.25/27.56	                                                                    (in(
27.25/27.56	                                                                    X251,X249) =>
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X251,X250))) =>
27.25/27.56	                                                                    subset(
27.25/27.56	                                                                    X249,X250))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X252]:
27.25/27.56	                                                                    subset(
27.25/27.56	                                                                    emptyset,
27.25/27.56	                                                                    X252)) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X253,
27.25/27.56	                                                                    X254,X255]:
27.25/27.56	                                                                    (subset(
27.25/27.56	                                                                    X253,X254) =>
27.25/27.56	                                                                    (in(
27.25/27.56	                                                                    X255,X253) =>
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X255,X254)))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X256,
27.25/27.56	                                                                    X257,X258]:
27.25/27.56	                                                                    (subset(
27.25/27.56	                                                                    X256,X257) =>
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    ~
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X258,X257)) =>
27.25/27.56	                                                                    (~
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X258,X256))))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X259,
27.25/27.56	                                                                    X260,X261]:
27.25/27.56	                                                                    (in(
27.25/27.56	                                                                    X261,X259) =>
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    ~
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X261,X260)) =>
27.25/27.56	                                                                    (~
27.25/27.56	                                                                    subset(
27.25/27.56	                                                                    X259,X260))))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X262,
27.25/27.56	                                                                    X263]:
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    ~
27.25/27.56	                                                                    subset(
27.25/27.56	                                                                    X262,X263)) =>
27.25/27.56	                                                                    (X262 !=
27.25/27.56	                                                                    X263))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X264,
27.25/27.56	                                                                    X265,X266]:
27.25/27.56	                                                                    (in(
27.25/27.56	                                                                    X266,X264) =>
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    ~
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X266,X265)) =>
27.25/27.56	                                                                    (X264 !=
27.25/27.56	                                                                    X265)))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X267]:
27.25/27.56	                                                                    subset(
27.25/27.56	                                                                    X267,X267)) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X268,
27.25/27.56	                                                                    X269,X270]:
27.25/27.56	                                                                    (subset(
27.25/27.56	                                                                    X268,X269) =>
27.25/27.56	                                                                    (subset(
27.25/27.56	                                                                    X269,X270) =>
27.25/27.56	                                                                    subset(
27.25/27.56	                                                                    X268,X270)))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X271,
27.25/27.56	                                                                    X272]:
27.25/27.56	                                                                    subset(
27.25/27.56	                                                                    X272,
27.25/27.56	                                                                    setadjoin(
27.25/27.56	                                                                    X271,X272))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X273,
27.25/27.56	                                                                    X274,X275]:
27.25/27.56	                                                                    (subset(
27.25/27.56	                                                                    X273,X275) =>
27.25/27.56	                                                                    subset(
27.25/27.56	                                                                    X273,
27.25/27.56	                                                                    setadjoin(
27.25/27.56	                                                                    X274,X275)))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X276,
27.25/27.56	                                                                    X277]:
27.25/27.56	                                                                    (subset(
27.25/27.56	                                                                    X276,X277) =>
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X276,
27.25/27.56	                                                                    powerset(
27.25/27.56	                                                                    X277)))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X278,
27.25/27.56	                                                                    X279]:
27.25/27.56	                                                                    (subset(
27.25/27.56	                                                                    X278,X279) =>
27.25/27.56	                                                                    (subset(
27.25/27.56	                                                                    X279,X278) =>
27.25/27.56	                                                                    (X278 =
27.25/27.56	                                                                    X279)))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X280]:
27.25/27.56	                                                                    (subset(
27.25/27.56	                                                                    X280,
27.25/27.56	                                                                    emptyset) =>
27.25/27.56	                                                                    (X280 =
27.25/27.56	                                                                    emptyset))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X281,
27.25/27.56	                                                                    X282]:
27.25/27.56	                                                                    (subset(
27.25/27.56	                                                                    X282,X281) =>
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X282,
27.25/27.56	                                                                    powerset(
27.25/27.56	                                                                    X281)))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X283,
27.25/27.56	                                                                    X284]:
27.25/27.56	                                                                    (in(
27.25/27.56	                                                                    X284,
27.25/27.56	                                                                    powerset(
27.25/27.56	                                                                    X283)) =>
27.25/27.56	                                                                    subset(
27.25/27.56	                                                                    X284,X283))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X285]:
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X285,
27.25/27.56	                                                                    powerset(
27.25/27.56	                                                                    X285))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X286,
27.25/27.56	                                                                    X287]:
27.25/27.56	                                                                    (subset(
27.25/27.56	                                                                    X286,X287) =>
27.25/27.56	                                                                    subset(
27.25/27.56	                                                                    powerset(
27.25/27.56	                                                                    X286),
27.25/27.56	                                                                    powerset(
27.25/27.56	                                                                    X287)))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X288,
27.25/27.56	                                                                    X289:(
27.25/27.56	                                                                    $i > $o)]:
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    dsetconstr(
27.25/27.56	                                                                    X288,
27.25/27.56	                                                                    ^[V_13]:
27.25/27.56	                                                                    X289(
27.25/27.56	                                                                    V_13)),
27.25/27.56	                                                                    powerset(
27.25/27.56	                                                                    X288))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X290,
27.25/27.56	                                                                    X291:(
27.25/27.56	                                                                    $i > $o)]:
27.25/27.56	                                                                    subset(
27.25/27.56	                                                                    dsetconstr(
27.25/27.56	                                                                    X290,
27.25/27.56	                                                                    ^[V_14]:
27.25/27.56	                                                                    X291(
27.25/27.56	                                                                    V_14)),
27.25/27.56	                                                                    X290)) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X292,
27.25/27.56	                                                                    X293,X294]:
27.25/27.56	                                                                    (in(
27.25/27.56	                                                                    X294,X292) =>
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X294,
27.25/27.56	                                                                    binunion(
27.25/27.56	                                                                    X292,X293)))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X295,
27.25/27.56	                                                                    X296]:
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X296,
27.25/27.56	                                                                    setadjoin(
27.25/27.56	                                                                    X295,
27.25/27.56	                                                                    setadjoin(
27.25/27.56	                                                                    X296,
27.25/27.56	                                                                    emptyset)))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X297,
27.25/27.56	                                                                    X298,X299]:
27.25/27.56	                                                                    (in(
27.25/27.56	                                                                    X299,X298) =>
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X299,
27.25/27.56	                                                                    binunion(
27.25/27.56	                                                                    X297,X298)))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X300,
27.25/27.56	                                                                    X301,
27.25/27.56	                                                                    X302,
27.25/27.56	                                                                    X303:$o]:
27.25/27.56	                                                                    (in(
27.25/27.56	                                                                    X302,
27.25/27.56	                                                                    binunion(
27.25/27.56	                                                                    X300,X301)) =>
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X302,X300) =>
27.25/27.56	                                                                    X303) =>
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X302,X301) =>
27.25/27.56	                                                                    X303) =>
27.25/27.56	                                                                    X303)))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X304,
27.25/27.56	                                                                    X305,X306]:
27.25/27.56	                                                                    (in(
27.25/27.56	                                                                    X306,
27.25/27.56	                                                                    binunion(
27.25/27.56	                                                                    X304,X305)) =>
27.25/27.56	                                                                    (in(
27.25/27.56	                                                                    X306,X304) | 
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X306,X305)))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X307,
27.25/27.56	                                                                    X308]:
27.25/27.56	                                                                    subset(
27.25/27.56	                                                                    X307,
27.25/27.56	                                                                    binunion(
27.25/27.56	                                                                    X307,X308))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X309,
27.25/27.56	                                                                    X310]:
27.25/27.56	                                                                    subset(
27.25/27.56	                                                                    X310,
27.25/27.56	                                                                    binunion(
27.25/27.56	                                                                    X309,X310))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X311,
27.25/27.56	                                                                    X312,X313]:
27.25/27.56	                                                                    (in(
27.25/27.56	                                                                    X313,X311) =>
27.25/27.56	                                                                    (in(
27.25/27.56	                                                                    X313,X312) =>
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X313,
27.25/27.56	                                                                    binintersect(
27.25/27.56	                                                                    X311,X312))))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X314,
27.25/27.56	                                                                    X315,X316]:
27.25/27.56	                                                                    (subset(
27.25/27.56	                                                                    X316,X314) =>
27.25/27.56	                                                                    (subset(
27.25/27.56	                                                                    X316,X315) =>
27.25/27.56	                                                                    subset(
27.25/27.56	                                                                    X316,
27.25/27.56	                                                                    binintersect(
27.25/27.56	                                                                    X314,X315))))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X317,
27.25/27.56	                                                                    X318,X319]:
27.25/27.56	                                                                    (in(
27.25/27.56	                                                                    X319,
27.25/27.56	                                                                    binintersect(
27.25/27.56	                                                                    X317,X318)) =>
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X319,X317))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X320,
27.25/27.56	                                                                    X321]:
27.25/27.56	                                                                    subset(
27.25/27.56	                                                                    binintersect(
27.25/27.56	                                                                    X320,X321),
27.25/27.56	                                                                    X320)) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X322,
27.25/27.56	                                                                    X323]:
27.25/27.56	                                                                    (subset(
27.25/27.56	                                                                    X322,X323) =>
27.25/27.56	                                                                    (binintersect(
27.25/27.56	                                                                    X322,X323) =
27.25/27.56	                                                                    X322))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X324,
27.25/27.56	                                                                    X325]:
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    binintersect(
27.25/27.56	                                                                    X324,X325) =
27.25/27.56	                                                                    X325) =>
27.25/27.56	                                                                    subset(
27.25/27.56	                                                                    X325,X324))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X326,
27.25/27.56	                                                                    X327,X328]:
27.25/27.56	                                                                    (in(
27.25/27.56	                                                                    X328,
27.25/27.56	                                                                    binintersect(
27.25/27.56	                                                                    X326,X327)) =>
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X328,X327))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X329,
27.25/27.56	                                                                    X330]:
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    ~
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ?[X331]:
27.25/27.56	                                                                    (in(
27.25/27.56	                                                                    X331,X329) & 
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X331,X330)))) =>
27.25/27.56	                                                                    (binintersect(
27.25/27.56	                                                                    X329,X330) =
27.25/27.56	                                                                    emptyset))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X332,
27.25/27.56	                                                                    X333]:
27.25/27.56	                                                                    subset(
27.25/27.56	                                                                    binintersect(
27.25/27.56	                                                                    X332,X333),
27.25/27.56	                                                                    X333)) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X334,
27.25/27.56	                                                                    X335]:
27.25/27.56	                                                                    (subset(
27.25/27.56	                                                                    X335,X334) =>
27.25/27.56	                                                                    (binintersect(
27.25/27.56	                                                                    X334,X335) =
27.25/27.56	                                                                    X335))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X336,
27.25/27.56	                                                                    X337]:
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    binintersect(
27.25/27.56	                                                                    X336,X337) =
27.25/27.56	                                                                    X336) =>
27.25/27.56	                                                                    subset(
27.25/27.56	                                                                    X336,X337))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X338,
27.25/27.56	                                                                    X339,X340]:
27.25/27.56	                                                                    (binintersect(
27.25/27.56	                                                                    X338,
27.25/27.56	                                                                    binunion(
27.25/27.56	                                                                    X339,X340)) =
27.25/27.56	                                                                    binunion(
27.25/27.56	                                                                    binintersect(
27.25/27.56	                                                                    X338,X339),
27.25/27.56	                                                                    binintersect(
27.25/27.56	                                                                    X338,X340)))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X341,
27.25/27.56	                                                                    X342,X343]:
27.25/27.56	                                                                    (in(
27.25/27.56	                                                                    X343,X341) =>
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    ~
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X343,X342)) =>
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X343,
27.25/27.56	                                                                    setminus(
27.25/27.56	                                                                    X341,X342))))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X344,
27.25/27.56	                                                                    X345,X346]:
27.25/27.56	                                                                    (in(
27.25/27.56	                                                                    X346,
27.25/27.56	                                                                    setminus(
27.25/27.56	                                                                    X344,X345)) =>
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X346,X344))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X347,
27.25/27.56	                                                                    X348,X349]:
27.25/27.56	                                                                    (in(
27.25/27.56	                                                                    X349,
27.25/27.56	                                                                    setminus(
27.25/27.56	                                                                    X347,X348)) =>
27.25/27.56	                                                                    (~
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X349,X348)))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X350,
27.25/27.56	                                                                    X351]:
27.25/27.56	                                                                    (subset(
27.25/27.56	                                                                    X350,X351) =>
27.25/27.56	                                                                    (setminus(
27.25/27.56	                                                                    X350,X351) =
27.25/27.56	                                                                    emptyset))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X352,
27.25/27.56	                                                                    X353,X354]:
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    ~
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X354,
27.25/27.56	                                                                    setminus(
27.25/27.56	                                                                    X352,X353))) =>
27.25/27.56	                                                                    (in(
27.25/27.56	                                                                    X354,X352) =>
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X354,X353)))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X355,
27.25/27.56	                                                                    X356,X357]:
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    ~
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X357,
27.25/27.56	                                                                    setminus(
27.25/27.56	                                                                    X355,X356))) =>
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    ~
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X357,X356)) =>
27.25/27.56	                                                                    (~
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X357,X355))))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X358,
27.25/27.56	                                                                    X359,X360]:
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    ~
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X360,X358)) =>
27.25/27.56	                                                                    (~
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X360,
27.25/27.56	                                                                    setminus(
27.25/27.56	                                                                    X358,X359))))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X361,
27.25/27.56	                                                                    X362,X363]:
27.25/27.56	                                                                    (in(
27.25/27.56	                                                                    X363,X362) =>
27.25/27.56	                                                                    (~
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X363,
27.25/27.56	                                                                    setminus(
27.25/27.56	                                                                    X361,X362))))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X364,
27.25/27.56	                                                                    X365]:
27.25/27.56	                                                                    subset(
27.25/27.56	                                                                    setminus(
27.25/27.56	                                                                    X364,X365),
27.25/27.56	                                                                    X364)) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X366,
27.25/27.56	                                                                    X367]:
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    setminus(
27.25/27.56	                                                                    X366,X367) =
27.25/27.56	                                                                    emptyset) =>
27.25/27.56	                                                                    subset(
27.25/27.56	                                                                    X366,X367))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X368,
27.25/27.56	                                                                    X369,X370]:
27.25/27.56	                                                                    (in(
27.25/27.56	                                                                    X370,
27.25/27.56	                                                                    symdiff(
27.25/27.56	                                                                    X368,X369)) =>
27.25/27.56	                                                                    (![X371:$o]:
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X370,X368) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ~
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X370,X369)) =>
27.25/27.56	                                                                    X371)) =>
27.25/27.56	                                                                    ((
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ~
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X370,X368)) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    in(
27.25/27.56	                                                                    X370,X369) =>
27.25/27.56	                                                                    X371)) =>
27.25/27.56	                                                                    X371))))) =>
27.25/27.56	                                                                    (
27.25/27.56	                                                                    (
27.25/27.56	                                                                    ![X372,
27.25/27.56	                                                                    X373,X374]:
27.25/27.56	                                                                    (in(
27.25/27.56	                                                                    X374,X372) =>
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ~
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X374,X373)) =>
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X374,
27.25/27.57	                                                                    symdiff(
27.25/27.57	                                                                    X372,X373))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X375,
27.25/27.57	                                                                    X376,X377]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ~
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X377,X375)) =>
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X377,X376) =>
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X377,
27.25/27.57	                                                                    symdiff(
27.25/27.57	                                                                    X375,X376))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X378,
27.25/27.57	                                                                    X379,X380]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X380,X378) =>
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X380,X379) =>
27.25/27.57	                                                                    (~
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X380,
27.25/27.57	                                                                    symdiff(
27.25/27.57	                                                                    X378,X379)))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X381,
27.25/27.57	                                                                    X382,X383]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ~
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X383,X381)) =>
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ~
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X383,X382)) =>
27.25/27.57	                                                                    (~
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X383,
27.25/27.57	                                                                    symdiff(
27.25/27.57	                                                                    X381,X382)))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X384,
27.25/27.57	                                                                    X385]:
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X385,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X384,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X385,
27.25/27.57	                                                                    emptyset)))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X386,
27.25/27.57	                                                                    X387]:
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X386,
27.25/27.57	                                                                    setunion(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X386,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X386,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X387,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X388,
27.25/27.57	                                                                    X389]:
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X389,
27.25/27.57	                                                                    setunion(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X388,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X388,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X389,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X390,
27.25/27.57	                                                                    X391]:
27.25/27.57	                                                                    (?[X392]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X392,
27.25/27.57	                                                                    setunion(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X390,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X390,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X391,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset)))) & 
27.25/27.57	                                                                    (?[X393]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X393,
27.25/27.57	                                                                    setunion(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X390,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X390,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X391,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset)))) & 
27.25/27.57	                                                                    (setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X390,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X390,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X391,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset)) =
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X392,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X392,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X393,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset)))))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X394,
27.25/27.57	                                                                    X395]:
27.25/27.57	                                                                    (?[X396]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X396,
27.25/27.57	                                                                    setunion(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X394,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X394,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X395,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset)))) & 
27.25/27.57	                                                                    (?[X397]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X397,
27.25/27.57	                                                                    setunion(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X394,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X394,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X395,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset)))) & 
27.25/27.57	                                                                    (setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X394,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X394,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X395,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset)) =
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X396,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X396,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X397,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset)))))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X398,
27.25/27.57	                                                                    X399]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X399,X398) =>
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X399,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    X398))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X400,
27.25/27.57	                                                                    X401]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X401,X400) =>
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X401,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    powerset(
27.25/27.57	                                                                    X400)))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X402,
27.25/27.57	                                                                    X403,X404]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X404,X402) =>
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X404,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    powerset(
27.25/27.57	                                                                    binunion(
27.25/27.57	                                                                    X402,X403))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X405,
27.25/27.57	                                                                    X406,X407]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X407,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X405,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X406,
27.25/27.57	                                                                    emptyset))) =>
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    X407 =
27.25/27.57	                                                                    X405) | 
27.25/27.57	                                                                    (X407 =
27.25/27.57	                                                                    X406)))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X408,
27.25/27.57	                                                                    X409,X410]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X410,X408) =>
27.25/27.57	                                                                    (![X411]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X411,X409) =>
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X410,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X411,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    binunion(
27.25/27.57	                                                                    X408,X409)))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X412,
27.25/27.57	                                                                    X413,X414]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X414,X412) =>
27.25/27.57	                                                                    (![X415]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X415,X413) =>
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X414,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X415,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    powerset(
27.25/27.57	                                                                    binunion(
27.25/27.57	                                                                    X412,X413))))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X416,
27.25/27.57	                                                                    X417,X418]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X418,X416) =>
27.25/27.57	                                                                    (![X419]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X419,X417) =>
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X418,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X418,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X419,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    powerset(
27.25/27.57	                                                                    binunion(
27.25/27.57	                                                                    X416,X417))))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X420,
27.25/27.57	                                                                    X421,X422]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X422,X420) =>
27.25/27.57	                                                                    (![X423]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X423,X421) =>
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X422,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X422,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X423,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    powerset(
27.25/27.57	                                                                    powerset(
27.25/27.57	                                                                    binunion(
27.25/27.57	                                                                    X420,X421)))))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X424,
27.25/27.57	                                                                    X425,X426]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X426,X424) =>
27.25/27.57	                                                                    (![X427]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X427,X425) =>
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X426,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X426,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X427,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    powerset(
27.25/27.57	                                                                    powerset(
27.25/27.57	                                                                    binunion(
27.25/27.57	                                                                    X424,X425)))))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X428,
27.25/27.57	                                                                    X429,X430]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X430,X428) =>
27.25/27.57	                                                                    (![X431]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X431,X429) =>
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X430,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X430,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X431,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    cartprod(
27.25/27.57	                                                                    X428,X429)))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X432,
27.25/27.57	                                                                    X433,X434]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X434,
27.25/27.57	                                                                    cartprod(
27.25/27.57	                                                                    X432,X433)) =>
27.25/27.57	                                                                    (?[X435]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X435,X432) & 
27.25/27.57	                                                                    (?[X436]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X436,X433) & 
27.25/27.57	                                                                    (X434 =
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X435,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X435,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X436,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset))))))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X437,
27.25/27.57	                                                                    X438,X439]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X439,
27.25/27.57	                                                                    cartprod(
27.25/27.57	                                                                    X437,X438)) =>
27.25/27.57	                                                                    (?[X440]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X440,
27.25/27.57	                                                                    setunion(
27.25/27.57	                                                                    X439)) & 
27.25/27.57	                                                                    (?[X441]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X441,
27.25/27.57	                                                                    setunion(
27.25/27.57	                                                                    X439)) & 
27.25/27.57	                                                                    (X439 =
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X440,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X440,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X441,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset))))))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X442,
27.25/27.57	                                                                    X443]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X443,
27.25/27.57	                                                                    setunion(
27.25/27.57	                                                                    X442)) =>
27.25/27.57	                                                                    (?[X444]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X444,X442) & 
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X443,X444))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X445]:
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    setunion(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X445,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    X445)) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X446]:
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    X446,
27.25/27.57	                                                                    setunion(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X446,
27.25/27.57	                                                                    emptyset)))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X447]:
27.25/27.57	                                                                    (setunion(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X447,
27.25/27.57	                                                                    emptyset)) =
27.25/27.57	                                                                    X447)) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X448,
27.25/27.57	                                                                    X449:(
27.25/27.57	                                                                    $i > $o)]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ![X450]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X450,X448) =>
27.25/27.57	                                                                    (![X451]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X451,X448) =>
27.25/27.57	                                                                    (X449(
27.25/27.57	                                                                    X450) =>
27.25/27.57	                                                                    (X449(
27.25/27.57	                                                                    X451) =>
27.25/27.57	                                                                    (X450 =
27.25/27.57	                                                                    X451))))))) =>
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ?[X452]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X452,X448) & 
27.25/27.57	                                                                    X449(
27.25/27.57	                                                                    X452))) =>
27.25/27.57	                                                                    (?[X453]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X453,
27.25/27.57	                                                                    dsetconstr(
27.25/27.57	                                                                    X448,
27.25/27.57	                                                                    ^[V_16]:
27.25/27.57	                                                                    X449(
27.25/27.57	                                                                    V_16))) & 
27.25/27.57	                                                                    (dsetconstr(
27.25/27.57	                                                                    X448,
27.25/27.57	                                                                    ^[V_15]:
27.25/27.57	                                                                    X449(
27.25/27.57	                                                                    V_15)) =
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X453,
27.25/27.57	                                                                    emptyset))))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X454,
27.25/27.57	                                                                    X455:(
27.25/27.57	                                                                    $i > $o)]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ?[X456]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X456,
27.25/27.57	                                                                    dsetconstr(
27.25/27.57	                                                                    X454,
27.25/27.57	                                                                    ^[V_18]:
27.25/27.57	                                                                    X455(
27.25/27.57	                                                                    V_18))) & 
27.25/27.57	                                                                    (dsetconstr(
27.25/27.57	                                                                    X454,
27.25/27.57	                                                                    ^[V_17]:
27.25/27.57	                                                                    X455(
27.25/27.57	                                                                    V_17)) =
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X456,
27.25/27.57	                                                                    emptyset)))) =>
27.25/27.57	                                                                    (?[X457]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X457,X454) & 
27.25/27.57	                                                                    X455(
27.25/27.57	                                                                    X457)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))).
27.25/27.57	tff(zf_stmt_1, type, zip_tseitin5 : ($i * $i > $o) > $o).
27.25/27.57	tff(zf_stmt_2, axiom,
27.25/27.57	  (zip_tseitin5(X211,X207) <=>
27.25/27.57	   ((![X212]: zip_tseitin4(X212,X211,X207)) & X207(X211)))).
27.25/27.57	tff(zf_stmt_3, type, zip_tseitin4 : ($i * $i * $i > $o) > $o).
27.25/27.57	tff(zf_stmt_4, axiom,
27.25/27.57	  (zip_tseitin4(X212,X211,X207) <=> (X207(X212) => (X211 = X212)))).
27.25/27.57	tff(zf_stmt_5, type, zip_tseitin3 : ($i * $i * $i * ($i * $i) > $o) > $o).
27.25/27.57	tff(zf_stmt_6, axiom,
27.25/27.57	  (zip_tseitin3(X26,X25,X20,X19) <=> (X19(X26,X25) & in(X26,X20)))).
27.25/27.57	tff(zf_stmt_7, type, zip_tseitin2 : ($i * $i * $i) > $o).
27.25/27.57	tff(zf_stmt_8, axiom,
27.25/27.57	  (zip_tseitin2(X14,X13,X12) <=> (in(X14,X12) & in(X13,X14)))).
27.25/27.57	tff(zf_stmt_9, type, zip_tseitin1 : ($i * $i * $i) > $o).
27.25/27.57	tff(zf_stmt_10, axiom,
27.25/27.57	  (zip_tseitin1(X11,X10,X9) <=> (in(X11,X10) => in(X11,X9)))).
27.25/27.57	tff(zf_stmt_11, type, zip_tseitin0 : ($i * $i * $i) > $o).
27.25/27.57	tff(zf_stmt_12, axiom, (zip_tseitin0(X8,X7,X6) <=> (in(X8,X7) | (X8 = X6)))).
27.25/27.57	tff(zf_stmt_13, conjecture,
27.25/27.57	  ((![X2,X3]: ((![X4]: (in(X4,X2) <=> in(X4,X3))) => (X2 = X3))) =>
27.25/27.57	   ((![X5]: (~in(X5,emptyset))) =>
27.25/27.57	    ((![X6,X7,X8]: (in(X8,setadjoin(X6,X7)) <=> zip_tseitin0(X8,X7,X6))) =>
27.25/27.57	     ((![X9,X10]:
27.25/27.57	         (in(X10,powerset(X9)) <=> (![X11]: zip_tseitin1(X11,X10,X9)))) =>
27.25/27.57	      ((![X12,X13]:
27.25/27.57	          (in(X13,setunion(X12)) <=> (?[X14]: zip_tseitin2(X14,X13,X12)))) =>
27.25/27.57	       (in(emptyset,omega) =>
27.25/27.57	        ((![X15]: (in(X15,omega) => in(setadjoin(X15,X15),omega))) =>
27.25/27.57	         ((![X16]:
27.25/27.57	             (((![X17]:
27.25/27.57	                  ((in(X17,X16) & in(X17,omega)) =>
27.25/27.57	                   in(setadjoin(X17,X17),X16))) & 
27.25/27.57	               in(emptyset,X16)) =>
27.25/27.57	              (![X18]: (in(X18,omega) => in(X18,X16))))) =>
27.25/27.57	          ((![X19:(($i * $i) > $o),X20]:
27.25/27.57	              ((![X21]:
27.25/27.57	                  (in(X21,X20) =>
27.25/27.57	                   (?[X22]:
27.25/27.57	                      ((![X23]: (X19(X21,X23) => (X22 = X23))) & X19(X21,X22))))) =>
27.25/27.57	               (?[X24]:
27.25/27.57	                  (![X25]:
27.25/27.57	                     (in(X25,X24) <=> (?[X26]: zip_tseitin3(X26,X25,X20,X19))))))) =>
27.25/27.57	           ((![X27]:
27.25/27.57	               ((?[X28]: in(X28,X27)) =>
27.25/27.57	                (?[X29]:
27.25/27.57	                   ((~(?[X30]: (in(X30,X27) & in(X30,X29)))) & in(X29,X27))))) =>
27.25/27.57	            ((![X31]:
27.25/27.57	                (?[X32]:
27.25/27.57	                   ((![X33]:
27.25/27.57	                       (((?[X34]: in(X34,X33)) & 
27.25/27.57	                         (![X35]: (in(X35,X33) => in(X35,X31)))) =>
27.25/27.57	                        (?[X36,X37]:
27.25/27.57	                           ((![X38]:
27.25/27.57	                               (in(X38,X32) =>
27.25/27.57	                                (in(X37,X38) | 
27.25/27.57	                                 (![X39]: (in(X39,X38) => in(X39,X36)))))) & 
27.25/27.57	                            (~(?[X40]: (in(X40,X33) & in(X40,X36)))) & 
27.25/27.57	                            in(X37,X33) & in(X36,X32))))) & 
27.25/27.57	                    (![X41,X42]:
27.25/27.57	                       ((in(X42,X32) & in(X41,X32)) =>
27.25/27.57	                        ((![X43]: (in(X43,X42) => in(X43,X41))) | 
27.25/27.57	                         (![X44]: (in(X44,X41) => in(X44,X42)))))) & 
27.25/27.57	                    (![X45,X46]:
27.25/27.57	                       ((in(X46,X31) & in(X45,X31)) =>
27.25/27.57	                        ((![X47]:
27.25/27.57	                            (in(X47,X32) => (in(X45,X47) <=> in(X46,X47)))) =>
27.25/27.57	                         (X45 = X46)))) & 
27.25/27.57	                    (![X48]:
27.25/27.57	                       (in(X48,X32) => (![X49]: (in(X49,X48) => in(X49,X31)))))))) =>
27.25/27.57	             ((![X50:($i > $o)]:
27.25/27.57	                 ((?[X51]: ((![X52]: (X50(X52) => (X51 = X52))) & X50(X51))) =>
27.25/27.57	                  X50(descr(^[V_1]: X50(V_1))))) =>
27.25/27.57	              ((![X53,X54:($i > $o),X55]:
27.25/27.57	                  (in(X55,X53) =>
27.25/27.57	                   (X54(X55) => in(X55,dsetconstr(X53,^[V_2]: X54(V_2)))))) =>
27.25/27.57	               ((![X56,X57:($i > $o),X58]:
27.25/27.57	                   (in(X58,dsetconstr(X56,^[V_3]: X57(V_3))) => in(X58,X56))) =>
27.25/27.57	                ((![X59,X60:($i > $o),X61]:
27.25/27.57	                    (in(X61,dsetconstr(X59,^[V_4]: X60(V_4))) => X60(X61))) =>
27.25/27.57	                 ((![X62:($i > $o)]:
27.25/27.57	                     ((?[X63]:
27.25/27.57	                         ((![X64]: (X62(X64) => (X63 = X64))) & X62(X63))) =>
27.25/27.57	                      (?[X65]:
27.25/27.57	                         ((![X66]: (X62(X66) => (X65 = X66))) & X62(X65))))) =>
27.25/27.57	                  ((![X67:$o,X68]: (in(X68,prop2set(X67)) => X67)) =>
27.25/27.57	                   ((![X69]: (in(X69,emptyset) => (![X70:$o]: X70))) =>
27.25/27.57	                    ((![X71]: (in(X71,emptyset) => $false)) =>
27.25/27.57	                     ((![X72]: (~in(X72,emptyset))) =>
27.25/27.57	                      ((![X73:($i > $o)]:
27.25/27.57	                          ((?[X74]:
27.25/27.57	                              ((![X75]: (X73(X75) => (X74 = X75))) & X73(X74))) =>
27.25/27.57	                           (?[X76]: X73(X76)))) =>
27.25/27.57	                       ((![X77,X78]:
27.25/27.57	                           ((![X79]: (in(X79,X77) => in(X79,X78))) =>
27.25/27.57	                            ((![X80]: (in(X80,X78) => in(X80,X77))) =>
27.25/27.57	                             (X77 = X78)))) =>
27.25/27.57	                        ((![X81]:
27.25/27.57	                            ((![X82]: (~in(X82,X81))) => (X81 = emptyset))) =>
27.25/27.57	                         ((![X83]:
27.25/27.57	                             ((![X84]: (~in(X84,X83))) => (X83 = emptyset))) =>
27.25/27.57	                          ((![X85,X86:($i > $o),X87]:
27.25/27.57	                              (in(X87,X85) =>
27.25/27.57	                               (in(X87,dsetconstr(X85,^[V_5]: X86(V_5))) <=>
27.25/27.57	                                X86(X87)))) =>
27.25/27.57	                           ((![X88]:
27.25/27.57	                               ((X88 != emptyset) => (?[X89]: in(X89,X88)))) =>
27.25/27.57	                            ((![X90,X91:($i > $o),X92]:
27.25/27.57	                                (in(X92,X90) =>
27.25/27.57	                                 (X91(X92) =>
27.25/27.57	                                  (dsetconstr(X90,^[V_6]: X91(V_6)) !=
27.25/27.57	                                   emptyset)))) =>
27.25/27.57	                             ((![X93]:
27.25/27.57	                                 ((?[X94]: in(X94,X93)) => (X93 != emptyset))) =>
27.25/27.57	                              ((![X95,X96]: in(X95,setadjoin(X95,X96))) =>
27.25/27.57	                               (in(emptyset,setadjoin(emptyset,emptyset)) =>
27.25/27.57	                                ((![X97,X98,X99]:
27.25/27.57	                                    (in(X99,X98) =>
27.25/27.57	                                     in(X99,setadjoin(X97,X98)))) =>
27.25/27.57	                                 ((![X100,X101,X102]:
27.25/27.57	                                     (in(X102,setadjoin(X100,X101)) =>
27.25/27.57	                                      (![X103:$o]:
27.25/27.57	                                         (((X102 = X100) => X103) =>
27.25/27.57	                                          ((in(X102,X101) => X103) => X103))))) =>
27.25/27.57	                                  ((![X104,X105,X106]:
27.25/27.57	                                      (in(X106,setadjoin(X104,X105)) =>
27.25/27.57	                                       (in(X106,X105) | (X106 = X104)))) =>
27.25/27.57	                                   ((![X107]:
27.25/27.57	                                       (dsetconstr(X107,^[V_7]: $true) = X107)) =>
27.25/27.57	                                    ((![X108,X109]:
27.25/27.57	                                        ((![X110]:
27.25/27.57	                                            (in(X110,X109) => in(X110,X108))) =>
27.25/27.57	                                         in(X109,powerset(X108)))) =>
27.25/27.57	                                     ((![X111]: in(emptyset,powerset(X111))) =>
27.25/27.57	                                      ((![X112]: in(emptyset,powerset(X112))) =>
27.25/27.57	                                       ((![X113,X114,X115]:
27.25/27.57	                                           (in(X114,powerset(X113)) =>
27.25/27.57	                                            (in(X115,X114) => in(X115,X113)))) =>
27.25/27.57	                                        ((![X116,X117,X118]:
27.25/27.57	                                            (in(X117,X118) =>
27.25/27.57	                                             (in(X118,X116) =>
27.25/27.57	                                              in(X117,setunion(X116))))) =>
27.25/27.57	                                         ((![X119,X120]:
27.25/27.57	                                             (in(X120,setunion(X119)) =>
27.25/27.57	                                              (![X121:$o]:
27.25/27.57	                                                 ((![X122]:
27.25/27.57	                                                     (in(X120,X122) =>
27.25/27.57	                                                      (in(X122,X119) => X121))) =>
27.25/27.57	                                                  X121)))) =>
27.25/27.57	                                          ((![X123,X124]:
27.25/27.57	                                              (in(X124,X123) =>
27.25/27.57	                                               in(X124,
27.25/27.57	                                                  powerset(setunion(X123))))) =>
27.25/27.57	                                           ((![X125:($i > $o)]:
27.25/27.57	                                               ((?[X126]:
27.25/27.57	                                                   ((![X127]:
27.25/27.57	                                                       (X125(X127) =>
27.25/27.57	                                                        (X126 = X127))) & 
27.25/27.57	                                                    X125(X126))) =>
27.25/27.57	                                                (?[X128]:
27.25/27.57	                                                   (![X129]:
27.25/27.57	                                                      (X125(X129) <=>
27.25/27.57	                                                       (X129 = X128)))))) =>
27.25/27.57	                                            ((![X130]:
27.25/27.57	                                                ((X130 != emptyset) =>
27.25/27.57	                                                 (?[X131]: in(X131,X130)))) =>
27.25/27.57	                                             ((![X132,X133]:
27.25/27.57	                                                 (in(X132,
27.25/27.57	                                                     setadjoin(X133,emptyset)) =>
27.25/27.57	                                                  (X132 = X133))) =>
27.25/27.57	                                              ((![X134,X135]:
27.25/27.57	                                                  ((X134 != X135) =>
27.25/27.57	                                                   (~
27.25/27.57	                                                     in(X135,
27.25/27.57	                                                        setadjoin(X134,
27.25/27.57	                                                                  emptyset))))) =>
27.25/27.57	                                               ((![X136,X137]:
27.25/27.57	                                                   ((X136 = X137) =>
27.25/27.57	                                                    in(X136,
27.25/27.57	                                                       setadjoin(X137,
27.25/27.57	                                                                 emptyset)))) =>
27.25/27.57	                                                ((![X138,X139]:
27.25/27.57	                                                    (in(X138,
27.25/27.57	                                                        setadjoin(X139,
27.25/27.57	                                                                  emptyset)) =>
27.25/27.57	                                                     in(X139,
27.25/27.57	                                                        setadjoin(X138,
27.25/27.57	                                                                  emptyset)))) =>
27.25/27.57	                                                 ((![X140,X141,X142]:
27.25/27.57	                                                     (in(X142,
27.25/27.57	                                                         setadjoin(X140,
27.25/27.57	                                                                   setadjoin(
27.25/27.57	                                                                   X141,
27.25/27.57	                                                                   emptyset))) =>
27.25/27.57	                                                      ((X142 = X141) | 
27.25/27.57	                                                       (X142 = X140)))) =>
27.25/27.57	                                                  ((![X143,X144]:
27.25/27.57	                                                      in(X143,
27.25/27.57	                                                         setadjoin(X143,
27.25/27.57	                                                                   setadjoin(
27.25/27.57	                                                                   X144,
27.25/27.57	                                                                   emptyset)))) =>
27.25/27.57	                                                   ((![X145,X146]:
27.25/27.57	                                                       in(X146,
27.25/27.57	                                                          setadjoin(X145,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X146,
27.25/27.57	                                                                    emptyset)))) =>
27.25/27.57	                                                    ((![X147,X148:($i > $o)]:
27.25/27.57	                                                        ((?[X149]:
27.25/27.57	                                                            (X148(X149) & 
27.25/27.57	                                                             in(X149,X147))) =>
27.25/27.57	                                                         ((dsetconstr(
27.25/27.57	                                                           X147,
27.25/27.57	                                                           ^[V_8]: X148(V_8)) =
27.25/27.57	                                                           emptyset) =>
27.25/27.57	                                                          $false))) =>
27.25/27.57	                                                     ((![X150:($i > $o),X151]:
27.25/27.57	                                                         (in(X151,emptyset) =>
27.25/27.57	                                                          X150(X151))) =>
27.25/27.57	                                                      ((![X152,X153:($i > $o)]:
27.25/27.57	                                                          ((~
27.25/27.57	                                                             (![X154]:
27.25/27.57	                                                                (in(X154,X152) =>
27.25/27.57	                                                                 X153(X154)))) =>
27.25/27.57	                                                           (?[X155]:
27.25/27.57	                                                              ((~X153(X155)) & 
27.25/27.57	                                                               in(X155,X152))))) =>
27.25/27.57	                                                       ((![X156,
27.25/27.57	                                                           X157:($i > $o)]:
27.25/27.57	                                                           ((![X158]:
27.25/27.57	                                                               (in(X158,X156) =>
27.25/27.57	                                                                (~X157(X158)))) =>
27.25/27.57	                                                            (~
27.25/27.57	                                                              (?[X159]:
27.25/27.57	                                                                 (X157(X159) & 
27.25/27.57	                                                                  in(
27.25/27.57	                                                                  X159,X156)))))) =>
27.25/27.57	                                                        ((![X160,
27.25/27.57	                                                            X161:($i > $o)]:
27.25/27.57	                                                            ((~
27.25/27.57	                                                               (?[X162]:
27.25/27.57	                                                                  (X161(X162) & 
27.25/27.57	                                                                   in(
27.25/27.57	                                                                   X162,X160)))) =>
27.25/27.57	                                                             (![X163]:
27.25/27.57	                                                                (in(X163,X160) =>
27.25/27.57	                                                                 (~X161(X163)))))) =>
27.25/27.57	                                                         ((![X164,
27.25/27.57	                                                             X165:($i > $o)]:
27.25/27.57	                                                             ((?[X166]:
27.25/27.57	                                                                 ((~
27.25/27.57	                                                                    X165(
27.25/27.57	                                                                    X166)) & 
27.25/27.57	                                                                  in(
27.25/27.57	                                                                  X166,X164))) =>
27.25/27.57	                                                              (~
27.25/27.57	                                                                (![X167]:
27.25/27.57	                                                                   (in(
27.25/27.57	                                                                    X167,X164) =>
27.25/27.57	                                                                    X165(
27.25/27.57	                                                                    X167)))))) =>
27.25/27.57	                                                          ((![X168:$o]:
27.25/27.57	                                                              (X168 =>
27.25/27.57	                                                               in(emptyset,
27.25/27.57	                                                                  prop2set(
27.25/27.57	                                                                  X168)))) =>
27.25/27.57	                                                           ((![X169:$o]:
27.25/27.57	                                                               (X169 =>
27.25/27.57	                                                                set2prop(
27.25/27.57	                                                                prop2set(
27.25/27.57	                                                                X169)))) =>
27.25/27.57	                                                            ((![X170,
27.25/27.57	                                                                X171:(
27.25/27.57	                                                                $i > $o)]:
27.25/27.57	                                                                ((~
27.25/27.57	                                                                   (?[X172]:
27.25/27.57	                                                                    (X171(
27.25/27.57	                                                                    X172) & 
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X172,X170)))) =>
27.25/27.57	                                                                 (![X173]:
27.25/27.57	                                                                    (
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X173,X170) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ~
27.25/27.57	                                                                    X171(
27.25/27.57	                                                                    X173)))))) =>
27.25/27.57	                                                             ((![X174,
27.25/27.57	                                                                 X175:(
27.25/27.57	                                                                 $i > $o)]:
27.25/27.57	                                                                 ((~
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X176]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X176,X174) =>
27.25/27.57	                                                                    X175(
27.25/27.57	                                                                    X176)))) =>
27.25/27.57	                                                                  (?[X177]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ~
27.25/27.57	                                                                    X175(
27.25/27.57	                                                                    X177)) & 
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X177,X174))))) =>
27.25/27.57	                                                              ((![X178:(
27.25/27.57	                                                                  $i > $o)]:
27.25/27.57	                                                                  ((?[X179]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ![X180]:
27.25/27.57	                                                                    (X178(
27.25/27.57	                                                                    X180) =>
27.25/27.57	                                                                    (X179 =
27.25/27.57	                                                                    X180))) & 
27.25/27.57	                                                                    X178(
27.25/27.57	                                                                    X179))) =>
27.25/27.57	                                                                   (?[X181]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ![X182]:
27.25/27.57	                                                                    (X178(
27.25/27.57	                                                                    X182) =>
27.25/27.57	                                                                    (X181 =
27.25/27.57	                                                                    X182))) & 
27.25/27.57	                                                                    X178(
27.25/27.57	                                                                    X181))))) =>
27.25/27.57	                                                               ((![X183:(
27.25/27.57	                                                                   $i > $o)]:
27.25/27.57	                                                                   ((
27.25/27.57	                                                                    ?[X184]:
27.25/27.57	                                                                    X183(
27.25/27.57	                                                                    X184)) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X185,
27.25/27.57	                                                                    X186]:
27.25/27.57	                                                                    (X183(
27.25/27.57	                                                                    X185) =>
27.25/27.57	                                                                    (X183(
27.25/27.57	                                                                    X186) =>
27.25/27.57	                                                                    (X185 =
27.25/27.57	                                                                    X186)))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ?[X187]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ![X188]:
27.25/27.57	                                                                    (X183(
27.25/27.57	                                                                    X188) =>
27.25/27.57	                                                                    (X187 =
27.25/27.57	                                                                    X188))) & 
27.25/27.57	                                                                    X183(
27.25/27.57	                                                                    X187)))))) =>
27.25/27.57	                                                                ((![X189:(
27.25/27.57	                                                                    $i > $o)]:
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ?[X190]:
27.25/27.57	                                                                    (![X191]:
27.25/27.57	                                                                    (X189(
27.25/27.57	                                                                    X191) <=>
27.25/27.57	                                                                    (X191 =
27.25/27.57	                                                                    X190)))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ?[X192]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ![X193]:
27.25/27.57	                                                                    (X189(
27.25/27.57	                                                                    X193) =>
27.25/27.57	                                                                    (X192 =
27.25/27.57	                                                                    X193))) & 
27.25/27.57	                                                                    X189(
27.25/27.57	                                                                    X192))))) =>
27.25/27.57	                                                                 ((![X194,
27.25/27.57	                                                                    X195]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    X194 =
27.25/27.57	                                                                    X195) =>
27.25/27.57	                                                                    (![X196,
27.25/27.57	                                                                    X197]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    X196 =
27.25/27.57	                                                                    X197) =>
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X196,X194) =>
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X197,X195)))))) =>
27.25/27.57	                                                                  ((![X198,
27.25/27.57	                                                                    X199]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    X198 =
27.25/27.57	                                                                    X199) =>
27.25/27.57	                                                                    (![X200,
27.25/27.57	                                                                    X201]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    X200 =
27.25/27.57	                                                                    X201) =>
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X200,X198) <=>
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X201,X199)))))) =>
27.25/27.57	                                                                   ((
27.25/27.57	                                                                    ![X202:(
27.25/27.57	                                                                    $i > $o)]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ?[X203]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ![X204]:
27.25/27.57	                                                                    (X202(
27.25/27.57	                                                                    X204) =>
27.25/27.57	                                                                    (X203 =
27.25/27.57	                                                                    X204))) & 
27.25/27.57	                                                                    X202(
27.25/27.57	                                                                    X203))) =>
27.25/27.57	                                                                    (![X205,
27.25/27.57	                                                                    X206]:
27.25/27.57	                                                                    (X202(
27.25/27.57	                                                                    X205) =>
27.25/27.57	                                                                    (X202(
27.25/27.57	                                                                    X206) =>
27.25/27.57	                                                                    (X205 =
27.25/27.57	                                                                    X206)))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X207:(
27.25/27.57	                                                                    $i > $o),
27.25/27.57	                                                                    X208:(
27.25/27.57	                                                                    $i > $o)]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ![X209,
27.25/27.57	                                                                    X210]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    X209 =
27.25/27.57	                                                                    X210) =>
27.25/27.57	                                                                    (X207(
27.25/27.57	                                                                    X209) <=>
27.25/27.57	                                                                    X208(
27.25/27.57	                                                                    X210)))) =>
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ?[X211]:
27.25/27.57	                                                                    zip_tseitin5(
27.25/27.57	                                                                    X211,X207)) <=>
27.25/27.57	                                                                    (?[X213]:
27.25/27.57	                                                                    zip_tseitin5(
27.25/27.57	                                                                    X213,X208))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    emptyset =
27.25/27.57	                                                                    emptyset) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X215,
27.25/27.57	                                                                    X216]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    X215 =
27.25/27.57	                                                                    X216) =>
27.25/27.57	                                                                    (![X217,
27.25/27.57	                                                                    X218]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    X217 =
27.25/27.57	                                                                    X218) =>
27.25/27.57	                                                                    (setadjoin(
27.25/27.57	                                                                    X215,X217) =
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X216,X218)))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X219,
27.25/27.57	                                                                    X220]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    X219 =
27.25/27.57	                                                                    X220) =>
27.25/27.57	                                                                    (powerset(
27.25/27.57	                                                                    X219) =
27.25/27.57	                                                                    powerset(
27.25/27.57	                                                                    X220)))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X221,
27.25/27.57	                                                                    X222]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    X221 =
27.25/27.57	                                                                    X222) =>
27.25/27.57	                                                                    (setunion(
27.25/27.57	                                                                    X221) =
27.25/27.57	                                                                    setunion(
27.25/27.57	                                                                    X222)))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    omega =
27.25/27.57	                                                                    omega) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X223:(
27.25/27.57	                                                                    $i > $o)]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ?[X224]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ![X225]:
27.25/27.57	                                                                    (X223(
27.25/27.57	                                                                    X225) =>
27.25/27.57	                                                                    (X224 =
27.25/27.57	                                                                    X225))) & 
27.25/27.57	                                                                    X223(
27.25/27.57	                                                                    X224))) =>
27.25/27.57	                                                                    (![X226,
27.25/27.57	                                                                    X227]:
27.25/27.57	                                                                    (X223(
27.25/27.57	                                                                    X226) =>
27.25/27.57	                                                                    (X223(
27.25/27.57	                                                                    X227) =>
27.25/27.57	                                                                    (X226 =
27.25/27.57	                                                                    X227)))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X228:(
27.25/27.57	                                                                    $i > $o),
27.25/27.57	                                                                    X229:(
27.25/27.57	                                                                    $i > $o)]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ![X230,
27.25/27.57	                                                                    X231]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    X230 =
27.25/27.57	                                                                    X231) =>
27.25/27.57	                                                                    (X228(
27.25/27.57	                                                                    X230) <=>
27.25/27.57	                                                                    X229(
27.25/27.57	                                                                    X231)))) =>
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ?[X232]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ![X233]:
27.25/27.57	                                                                    (X228(
27.25/27.57	                                                                    X233) =>
27.25/27.57	                                                                    (X232 =
27.25/27.57	                                                                    X233))) & 
27.25/27.57	                                                                    X228(
27.25/27.57	                                                                    X232))) =>
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ?[X234]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ![X235]:
27.25/27.57	                                                                    (X229(
27.25/27.57	                                                                    X235) =>
27.25/27.57	                                                                    (X234 =
27.25/27.57	                                                                    X235))) & 
27.25/27.57	                                                                    X229(
27.25/27.57	                                                                    X234))) =>
27.25/27.57	                                                                    (descr(
27.25/27.57	                                                                    ^[V_9]:
27.25/27.57	                                                                    X228(V_9)) =
27.25/27.57	                                                                    descr(
27.25/27.57	                                                                    ^[V_10]:
27.25/27.57	                                                                    X229(
27.25/27.57	                                                                    V_10))))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X236,
27.25/27.57	                                                                    X237]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    X236 =
27.25/27.57	                                                                    X237) =>
27.25/27.57	                                                                    (![X238:(
27.25/27.57	                                                                    $i > $o),
27.25/27.57	                                                                    X239:(
27.25/27.57	                                                                    $i > $o)]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ![X240]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X240,X236) =>
27.25/27.57	                                                                    (![X241]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X241,X237) =>
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    X240 =
27.25/27.57	                                                                    X241) =>
27.25/27.57	                                                                    (X238(
27.25/27.57	                                                                    X240) <=>
27.25/27.57	                                                                    X239(
27.25/27.57	                                                                    X241))))))) =>
27.25/27.57	                                                                    (dsetconstr(
27.25/27.57	                                                                    X236,
27.25/27.57	                                                                    ^[V_11]:
27.25/27.57	                                                                    X238(
27.25/27.57	                                                                    V_11)) =
27.25/27.57	                                                                    dsetconstr(
27.25/27.57	                                                                    X237,
27.25/27.57	                                                                    ^[V_12]:
27.25/27.57	                                                                    X239(
27.25/27.57	                                                                    V_12))))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X242,
27.25/27.57	                                                                    X243]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ![X244]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X244,X242) =>
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X244,X243))) =>
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    X242,X243))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X245,
27.25/27.57	                                                                    X246]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    X245 =
27.25/27.57	                                                                    X246) =>
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    X246,X245))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X247,
27.25/27.57	                                                                    X248]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    X247 =
27.25/27.57	                                                                    X248) =>
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    X247,X248))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X249,
27.25/27.57	                                                                    X250]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ![X251]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X251,X249) =>
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X251,X250))) =>
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    X249,X250))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X252]:
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    emptyset,
27.25/27.57	                                                                    X252)) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X253,
27.25/27.57	                                                                    X254,X255]:
27.25/27.57	                                                                    (subset(
27.25/27.57	                                                                    X253,X254) =>
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X255,X253) =>
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X255,X254)))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X256,
27.25/27.57	                                                                    X257,X258]:
27.25/27.57	                                                                    (subset(
27.25/27.57	                                                                    X256,X257) =>
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ~
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X258,X257)) =>
27.25/27.57	                                                                    (~
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X258,X256))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X259,
27.25/27.57	                                                                    X260,X261]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X261,X259) =>
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ~
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X261,X260)) =>
27.25/27.57	                                                                    (~
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    X259,X260))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X262,
27.25/27.57	                                                                    X263]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ~
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    X262,X263)) =>
27.25/27.57	                                                                    (X262 !=
27.25/27.57	                                                                    X263))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X264,
27.25/27.57	                                                                    X265,X266]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X266,X264) =>
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ~
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X266,X265)) =>
27.25/27.57	                                                                    (X264 !=
27.25/27.57	                                                                    X265)))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X267]:
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    X267,X267)) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X268,
27.25/27.57	                                                                    X269,X270]:
27.25/27.57	                                                                    (subset(
27.25/27.57	                                                                    X268,X269) =>
27.25/27.57	                                                                    (subset(
27.25/27.57	                                                                    X269,X270) =>
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    X268,X270)))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X271,
27.25/27.57	                                                                    X272]:
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    X272,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X271,X272))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X273,
27.25/27.57	                                                                    X274,X275]:
27.25/27.57	                                                                    (subset(
27.25/27.57	                                                                    X273,X275) =>
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    X273,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X274,X275)))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X276,
27.25/27.57	                                                                    X277]:
27.25/27.57	                                                                    (subset(
27.25/27.57	                                                                    X276,X277) =>
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X276,
27.25/27.57	                                                                    powerset(
27.25/27.57	                                                                    X277)))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X278,
27.25/27.57	                                                                    X279]:
27.25/27.57	                                                                    (subset(
27.25/27.57	                                                                    X278,X279) =>
27.25/27.57	                                                                    (subset(
27.25/27.57	                                                                    X279,X278) =>
27.25/27.57	                                                                    (X278 =
27.25/27.57	                                                                    X279)))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X280]:
27.25/27.57	                                                                    (subset(
27.25/27.57	                                                                    X280,
27.25/27.57	                                                                    emptyset) =>
27.25/27.57	                                                                    (X280 =
27.25/27.57	                                                                    emptyset))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X281,
27.25/27.57	                                                                    X282]:
27.25/27.57	                                                                    (subset(
27.25/27.57	                                                                    X282,X281) =>
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X282,
27.25/27.57	                                                                    powerset(
27.25/27.57	                                                                    X281)))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X283,
27.25/27.57	                                                                    X284]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X284,
27.25/27.57	                                                                    powerset(
27.25/27.57	                                                                    X283)) =>
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    X284,X283))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X285]:
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X285,
27.25/27.57	                                                                    powerset(
27.25/27.57	                                                                    X285))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X286,
27.25/27.57	                                                                    X287]:
27.25/27.57	                                                                    (subset(
27.25/27.57	                                                                    X286,X287) =>
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    powerset(
27.25/27.57	                                                                    X286),
27.25/27.57	                                                                    powerset(
27.25/27.57	                                                                    X287)))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X288,
27.25/27.57	                                                                    X289:(
27.25/27.57	                                                                    $i > $o)]:
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    dsetconstr(
27.25/27.57	                                                                    X288,
27.25/27.57	                                                                    ^[V_13]:
27.25/27.57	                                                                    X289(
27.25/27.57	                                                                    V_13)),
27.25/27.57	                                                                    powerset(
27.25/27.57	                                                                    X288))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X290,
27.25/27.57	                                                                    X291:(
27.25/27.57	                                                                    $i > $o)]:
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    dsetconstr(
27.25/27.57	                                                                    X290,
27.25/27.57	                                                                    ^[V_14]:
27.25/27.57	                                                                    X291(
27.25/27.57	                                                                    V_14)),
27.25/27.57	                                                                    X290)) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X292,
27.25/27.57	                                                                    X293,X294]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X294,X292) =>
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X294,
27.25/27.57	                                                                    binunion(
27.25/27.57	                                                                    X292,X293)))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X295,
27.25/27.57	                                                                    X296]:
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X296,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X295,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X296,
27.25/27.57	                                                                    emptyset)))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X297,
27.25/27.57	                                                                    X298,X299]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X299,X298) =>
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X299,
27.25/27.57	                                                                    binunion(
27.25/27.57	                                                                    X297,X298)))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X300,
27.25/27.57	                                                                    X301,
27.25/27.57	                                                                    X302,
27.25/27.57	                                                                    X303:$o]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X302,
27.25/27.57	                                                                    binunion(
27.25/27.57	                                                                    X300,X301)) =>
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X302,X300) =>
27.25/27.57	                                                                    X303) =>
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X302,X301) =>
27.25/27.57	                                                                    X303) =>
27.25/27.57	                                                                    X303)))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X304,
27.25/27.57	                                                                    X305,X306]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X306,
27.25/27.57	                                                                    binunion(
27.25/27.57	                                                                    X304,X305)) =>
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X306,X305) | 
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X306,X304)))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X307,
27.25/27.57	                                                                    X308]:
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    X307,
27.25/27.57	                                                                    binunion(
27.25/27.57	                                                                    X307,X308))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X309,
27.25/27.57	                                                                    X310]:
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    X310,
27.25/27.57	                                                                    binunion(
27.25/27.57	                                                                    X309,X310))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X311,
27.25/27.57	                                                                    X312,X313]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X313,X311) =>
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X313,X312) =>
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X313,
27.25/27.57	                                                                    binintersect(
27.25/27.57	                                                                    X311,X312))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X314,
27.25/27.57	                                                                    X315,X316]:
27.25/27.57	                                                                    (subset(
27.25/27.57	                                                                    X316,X314) =>
27.25/27.57	                                                                    (subset(
27.25/27.57	                                                                    X316,X315) =>
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    X316,
27.25/27.57	                                                                    binintersect(
27.25/27.57	                                                                    X314,X315))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X317,
27.25/27.57	                                                                    X318,X319]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X319,
27.25/27.57	                                                                    binintersect(
27.25/27.57	                                                                    X317,X318)) =>
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X319,X317))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X320,
27.25/27.57	                                                                    X321]:
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    binintersect(
27.25/27.57	                                                                    X320,X321),
27.25/27.57	                                                                    X320)) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X322,
27.25/27.57	                                                                    X323]:
27.25/27.57	                                                                    (subset(
27.25/27.57	                                                                    X322,X323) =>
27.25/27.57	                                                                    (binintersect(
27.25/27.57	                                                                    X322,X323) =
27.25/27.57	                                                                    X322))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X324,
27.25/27.57	                                                                    X325]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    binintersect(
27.25/27.57	                                                                    X324,X325) =
27.25/27.57	                                                                    X325) =>
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    X325,X324))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X326,
27.25/27.57	                                                                    X327,X328]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X328,
27.25/27.57	                                                                    binintersect(
27.25/27.57	                                                                    X326,X327)) =>
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X328,X327))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X329,
27.25/27.57	                                                                    X330]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ~
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ?[X331]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X331,X330) & 
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X331,X329)))) =>
27.25/27.57	                                                                    (binintersect(
27.25/27.57	                                                                    X329,X330) =
27.25/27.57	                                                                    emptyset))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X332,
27.25/27.57	                                                                    X333]:
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    binintersect(
27.25/27.57	                                                                    X332,X333),
27.25/27.57	                                                                    X333)) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X334,
27.25/27.57	                                                                    X335]:
27.25/27.57	                                                                    (subset(
27.25/27.57	                                                                    X335,X334) =>
27.25/27.57	                                                                    (binintersect(
27.25/27.57	                                                                    X334,X335) =
27.25/27.57	                                                                    X335))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X336,
27.25/27.57	                                                                    X337]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    binintersect(
27.25/27.57	                                                                    X336,X337) =
27.25/27.57	                                                                    X336) =>
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    X336,X337))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X338,
27.25/27.57	                                                                    X339,X340]:
27.25/27.57	                                                                    (binintersect(
27.25/27.57	                                                                    X338,
27.25/27.57	                                                                    binunion(
27.25/27.57	                                                                    X339,X340)) =
27.25/27.57	                                                                    binunion(
27.25/27.57	                                                                    binintersect(
27.25/27.57	                                                                    X338,X339),
27.25/27.57	                                                                    binintersect(
27.25/27.57	                                                                    X338,X340)))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X341,
27.25/27.57	                                                                    X342,X343]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X343,X341) =>
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ~
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X343,X342)) =>
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X343,
27.25/27.57	                                                                    setminus(
27.25/27.57	                                                                    X341,X342))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X344,
27.25/27.57	                                                                    X345,X346]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X346,
27.25/27.57	                                                                    setminus(
27.25/27.57	                                                                    X344,X345)) =>
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X346,X344))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X347,
27.25/27.57	                                                                    X348,X349]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X349,
27.25/27.57	                                                                    setminus(
27.25/27.57	                                                                    X347,X348)) =>
27.25/27.57	                                                                    (~
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X349,X348)))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X350,
27.25/27.57	                                                                    X351]:
27.25/27.57	                                                                    (subset(
27.25/27.57	                                                                    X350,X351) =>
27.25/27.57	                                                                    (setminus(
27.25/27.57	                                                                    X350,X351) =
27.25/27.57	                                                                    emptyset))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X352,
27.25/27.57	                                                                    X353,X354]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ~
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X354,
27.25/27.57	                                                                    setminus(
27.25/27.57	                                                                    X352,X353))) =>
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X354,X352) =>
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X354,X353)))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X355,
27.25/27.57	                                                                    X356,X357]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ~
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X357,
27.25/27.57	                                                                    setminus(
27.25/27.57	                                                                    X355,X356))) =>
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ~
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X357,X356)) =>
27.25/27.57	                                                                    (~
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X357,X355))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X358,
27.25/27.57	                                                                    X359,X360]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ~
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X360,X358)) =>
27.25/27.57	                                                                    (~
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X360,
27.25/27.57	                                                                    setminus(
27.25/27.57	                                                                    X358,X359))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X361,
27.25/27.57	                                                                    X362,X363]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X363,X362) =>
27.25/27.57	                                                                    (~
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X363,
27.25/27.57	                                                                    setminus(
27.25/27.57	                                                                    X361,X362))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X364,
27.25/27.57	                                                                    X365]:
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    setminus(
27.25/27.57	                                                                    X364,X365),
27.25/27.57	                                                                    X364)) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X366,
27.25/27.57	                                                                    X367]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    setminus(
27.25/27.57	                                                                    X366,X367) =
27.25/27.57	                                                                    emptyset) =>
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    X366,X367))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X368,
27.25/27.57	                                                                    X369,X370]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X370,
27.25/27.57	                                                                    symdiff(
27.25/27.57	                                                                    X368,X369)) =>
27.25/27.57	                                                                    (![X371:$o]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X370,X368) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ~
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X370,X369)) =>
27.25/27.57	                                                                    X371)) =>
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ~
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X370,X368)) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X370,X369) =>
27.25/27.57	                                                                    X371)) =>
27.25/27.57	                                                                    X371))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X372,
27.25/27.57	                                                                    X373,X374]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X374,X372) =>
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ~
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X374,X373)) =>
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X374,
27.25/27.57	                                                                    symdiff(
27.25/27.57	                                                                    X372,X373))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X375,
27.25/27.57	                                                                    X376,X377]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ~
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X377,X375)) =>
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X377,X376) =>
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X377,
27.25/27.57	                                                                    symdiff(
27.25/27.57	                                                                    X375,X376))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X378,
27.25/27.57	                                                                    X379,X380]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X380,X378) =>
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X380,X379) =>
27.25/27.57	                                                                    (~
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X380,
27.25/27.57	                                                                    symdiff(
27.25/27.57	                                                                    X378,X379)))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X381,
27.25/27.57	                                                                    X382,X383]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ~
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X383,X381)) =>
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ~
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X383,X382)) =>
27.25/27.57	                                                                    (~
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X383,
27.25/27.57	                                                                    symdiff(
27.25/27.57	                                                                    X381,X382)))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X384,
27.25/27.57	                                                                    X385]:
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X385,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X384,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X385,
27.25/27.57	                                                                    emptyset)))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X386,
27.25/27.57	                                                                    X387]:
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X386,
27.25/27.57	                                                                    setunion(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X386,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X386,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X387,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X388,
27.25/27.57	                                                                    X389]:
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X389,
27.25/27.57	                                                                    setunion(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X388,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X388,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X389,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X390,
27.25/27.57	                                                                    X391]:
27.25/27.57	                                                                    (?[X392]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ?[X393]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X390,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X390,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X391,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset)) =
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X392,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X392,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X393,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset))) & 
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X393,
27.25/27.57	                                                                    setunion(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X390,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X390,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X391,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset)))))) & 
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X392,
27.25/27.57	                                                                    setunion(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X390,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X390,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X391,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset))))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X394,
27.25/27.57	                                                                    X395]:
27.25/27.57	                                                                    (?[X396]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ?[X397]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X394,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X394,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X395,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset)) =
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X396,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X396,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X397,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset))) & 
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X397,
27.25/27.57	                                                                    setunion(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X394,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X394,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X395,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset)))))) & 
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X396,
27.25/27.57	                                                                    setunion(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X394,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X394,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X395,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset))))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X398,
27.25/27.57	                                                                    X399]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X399,X398) =>
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X399,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    X398))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X400,
27.25/27.57	                                                                    X401]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X401,X400) =>
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X401,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    powerset(
27.25/27.57	                                                                    X400)))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X402,
27.25/27.57	                                                                    X403,X404]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X404,X402) =>
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X404,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    powerset(
27.25/27.57	                                                                    binunion(
27.25/27.57	                                                                    X402,X403))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X405,
27.25/27.57	                                                                    X406,X407]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X407,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X405,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X406,
27.25/27.57	                                                                    emptyset))) =>
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    X407 =
27.25/27.57	                                                                    X406) | 
27.25/27.57	                                                                    (X407 =
27.25/27.57	                                                                    X405)))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X408,
27.25/27.57	                                                                    X409,X410]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X410,X408) =>
27.25/27.57	                                                                    (![X411]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X411,X409) =>
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X410,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X411,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    binunion(
27.25/27.57	                                                                    X408,X409)))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X412,
27.25/27.57	                                                                    X413,X414]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X414,X412) =>
27.25/27.57	                                                                    (![X415]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X415,X413) =>
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X414,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X415,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    powerset(
27.25/27.57	                                                                    binunion(
27.25/27.57	                                                                    X412,X413))))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X416,
27.25/27.57	                                                                    X417,X418]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X418,X416) =>
27.25/27.57	                                                                    (![X419]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X419,X417) =>
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X418,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X418,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X419,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    powerset(
27.25/27.57	                                                                    binunion(
27.25/27.57	                                                                    X416,X417))))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X420,
27.25/27.57	                                                                    X421,X422]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X422,X420) =>
27.25/27.57	                                                                    (![X423]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X423,X421) =>
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X422,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X422,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X423,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    powerset(
27.25/27.57	                                                                    powerset(
27.25/27.57	                                                                    binunion(
27.25/27.57	                                                                    X420,X421)))))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X424,
27.25/27.57	                                                                    X425,X426]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X426,X424) =>
27.25/27.57	                                                                    (![X427]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X427,X425) =>
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X426,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X426,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X427,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    powerset(
27.25/27.57	                                                                    powerset(
27.25/27.57	                                                                    binunion(
27.25/27.57	                                                                    X424,X425)))))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X428,
27.25/27.57	                                                                    X429,X430]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X430,X428) =>
27.25/27.57	                                                                    (![X431]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X431,X429) =>
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X430,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X430,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X431,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    cartprod(
27.25/27.57	                                                                    X428,X429)))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X432,
27.25/27.57	                                                                    X433,X434]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X434,
27.25/27.57	                                                                    cartprod(
27.25/27.57	                                                                    X432,X433)) =>
27.25/27.57	                                                                    (?[X435]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ?[X436]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    X434 =
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X435,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X435,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X436,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset))) & 
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X436,X433))) & 
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X435,X432))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X437,
27.25/27.57	                                                                    X438,X439]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X439,
27.25/27.57	                                                                    cartprod(
27.25/27.57	                                                                    X437,X438)) =>
27.25/27.57	                                                                    (?[X440]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ?[X441]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    X439 =
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X440,
27.25/27.57	                                                                    emptyset),
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X440,
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X441,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    emptyset))) & 
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X441,
27.25/27.57	                                                                    setunion(
27.25/27.57	                                                                    X439)))) & 
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X440,
27.25/27.57	                                                                    setunion(
27.25/27.57	                                                                    X439)))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X442,
27.25/27.57	                                                                    X443]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X443,
27.25/27.57	                                                                    setunion(
27.25/27.57	                                                                    X442)) =>
27.25/27.57	                                                                    (?[X444]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X443,X444) & 
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X444,X442))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X445]:
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    setunion(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X445,
27.25/27.57	                                                                    emptyset)),
27.25/27.57	                                                                    X445)) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X446]:
27.25/27.57	                                                                    subset(
27.25/27.57	                                                                    X446,
27.25/27.57	                                                                    setunion(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X446,
27.25/27.57	                                                                    emptyset)))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X447]:
27.25/27.57	                                                                    (setunion(
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X447,
27.25/27.57	                                                                    emptyset)) =
27.25/27.57	                                                                    X447)) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X448,
27.25/27.57	                                                                    X449:(
27.25/27.57	                                                                    $i > $o)]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ![X450]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X450,X448) =>
27.25/27.57	                                                                    (![X451]:
27.25/27.57	                                                                    (in(
27.25/27.57	                                                                    X451,X448) =>
27.25/27.57	                                                                    (X449(
27.25/27.57	                                                                    X450) =>
27.25/27.57	                                                                    (X449(
27.25/27.57	                                                                    X451) =>
27.25/27.57	                                                                    (X450 =
27.25/27.57	                                                                    X451))))))) =>
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ?[X452]:
27.25/27.57	                                                                    (X449(
27.25/27.57	                                                                    X452) & 
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X452,X448))) =>
27.25/27.57	                                                                    (?[X453]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    dsetconstr(
27.25/27.57	                                                                    X448,
27.25/27.57	                                                                    ^[V_15]:
27.25/27.57	                                                                    X449(
27.25/27.57	                                                                    V_15)) =
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X453,
27.25/27.57	                                                                    emptyset)) & 
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X453,
27.25/27.57	                                                                    dsetconstr(
27.25/27.57	                                                                    X448,
27.25/27.57	                                                                    ^[V_16]:
27.25/27.57	                                                                    X449(
27.25/27.57	                                                                    V_16)))))))) =>
27.25/27.57	                                                                    (
27.25/27.57	                                                                    ![X454,
27.25/27.57	                                                                    X455:(
27.25/27.57	                                                                    $i > $o)]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    ?[X456]:
27.25/27.57	                                                                    ((
27.25/27.57	                                                                    dsetconstr(
27.25/27.57	                                                                    X454,
27.25/27.57	                                                                    ^[V_17]:
27.25/27.57	                                                                    X455(
27.25/27.57	                                                                    V_17)) =
27.25/27.57	                                                                    setadjoin(
27.25/27.57	                                                                    X456,
27.25/27.57	                                                                    emptyset)) & 
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X456,
27.25/27.57	                                                                    dsetconstr(
27.25/27.57	                                                                    X454,
27.25/27.57	                                                                    ^[V_18]:
27.25/27.57	                                                                    X455(
27.25/27.57	                                                                    V_18))))) =>
27.25/27.57	                                                                    (?[X457]:
27.25/27.57	                                                                    (X455(
27.25/27.57	                                                                    X457) & 
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X457,X454)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))).
27.25/27.57	tff(zf_stmt_14, negated_conjecture,
27.25/27.57	  (~
27.25/27.57	    ((![X2,X3]: ((![X4]: (in(X4,X2) <=> in(X4,X3))) => (X2 = X3))) =>
27.25/27.57	     ((![X5]: (~in(X5,emptyset))) =>
27.25/27.57	      ((![X6,X7,X8]: (in(X8,setadjoin(X6,X7)) <=> zip_tseitin0(X8,X7,X6))) =>
27.25/27.57	       ((![X9,X10]:
27.25/27.57	           (in(X10,powerset(X9)) <=> (![X11]: zip_tseitin1(X11,X10,X9)))) =>
27.25/27.57	        ((![X12,X13]:
27.25/27.57	            (in(X13,setunion(X12)) <=> (?[X14]: zip_tseitin2(X14,X13,X12)))) =>
27.25/27.57	         (in(emptyset,omega) =>
27.25/27.57	          ((![X15]: (in(X15,omega) => in(setadjoin(X15,X15),omega))) =>
27.25/27.57	           ((![X16]:
27.25/27.57	               (((![X17]:
27.25/27.57	                    ((in(X17,X16) & in(X17,omega)) =>
27.25/27.57	                     in(setadjoin(X17,X17),X16))) & 
27.25/27.57	                 in(emptyset,X16)) =>
27.25/27.57	                (![X18]: (in(X18,omega) => in(X18,X16))))) =>
27.25/27.57	            ((![X19:(($i * $i) > $o),X20]:
27.25/27.57	                ((![X21]:
27.25/27.57	                    (in(X21,X20) =>
27.25/27.57	                     (?[X22]:
27.25/27.57	                        ((![X23]: (X19(X21,X23) => (X22 = X23))) & 
27.25/27.57	                         X19(X21,X22))))) =>
27.25/27.57	                 (?[X24]:
27.25/27.57	                    (![X25]:
27.25/27.57	                       (in(X25,X24) <=>
27.25/27.57	                        (?[X26]: zip_tseitin3(X26,X25,X20,X19))))))) =>
27.25/27.57	             ((![X27]:
27.25/27.57	                 ((?[X28]: in(X28,X27)) =>
27.25/27.57	                  (?[X29]:
27.25/27.57	                     ((~(?[X30]: (in(X30,X27) & in(X30,X29)))) & in(X29,X27))))) =>
27.25/27.57	              ((![X31]:
27.25/27.57	                  (?[X32]:
27.25/27.57	                     ((![X33]:
27.25/27.57	                         (((?[X34]: in(X34,X33)) & 
27.25/27.57	                           (![X35]: (in(X35,X33) => in(X35,X31)))) =>
27.25/27.57	                          (?[X36,X37]:
27.25/27.57	                             ((![X38]:
27.25/27.57	                                 (in(X38,X32) =>
27.25/27.57	                                  (in(X37,X38) | 
27.25/27.57	                                   (![X39]: (in(X39,X38) => in(X39,X36)))))) & 
27.25/27.57	                              (~(?[X40]: (in(X40,X33) & in(X40,X36)))) & 
27.25/27.57	                              in(X37,X33) & in(X36,X32))))) & 
27.25/27.57	                      (![X41,X42]:
27.25/27.57	                         ((in(X42,X32) & in(X41,X32)) =>
27.25/27.57	                          ((![X43]: (in(X43,X42) => in(X43,X41))) | 
27.25/27.57	                           (![X44]: (in(X44,X41) => in(X44,X42)))))) & 
27.25/27.57	                      (![X45,X46]:
27.25/27.57	                         ((in(X46,X31) & in(X45,X31)) =>
27.25/27.57	                          ((![X47]:
27.25/27.57	                              (in(X47,X32) => (in(X45,X47) <=> in(X46,X47)))) =>
27.25/27.57	                           (X45 = X46)))) & 
27.25/27.57	                      (![X48]:
27.25/27.57	                         (in(X48,X32) =>
27.25/27.57	                          (![X49]: (in(X49,X48) => in(X49,X31)))))))) =>
27.25/27.57	               ((![X50:($i > $o)]:
27.25/27.57	                   ((?[X51]: ((![X52]: (X50(X52) => (X51 = X52))) & X50(X51))) =>
27.25/27.57	                    X50(descr(^[V_1]: X50(V_1))))) =>
27.25/27.57	                ((![X53,X54:($i > $o),X55]:
27.25/27.57	                    (in(X55,X53) =>
27.25/27.57	                     (X54(X55) => in(X55,dsetconstr(X53,^[V_2]: X54(V_2)))))) =>
27.25/27.57	                 ((![X56,X57:($i > $o),X58]:
27.25/27.57	                     (in(X58,dsetconstr(X56,^[V_3]: X57(V_3))) => in(X58,X56))) =>
27.25/27.57	                  ((![X59,X60:($i > $o),X61]:
27.25/27.57	                      (in(X61,dsetconstr(X59,^[V_4]: X60(V_4))) => X60(X61))) =>
27.25/27.57	                   ((![X62:($i > $o)]:
27.25/27.57	                       ((?[X63]:
27.25/27.57	                           ((![X64]: (X62(X64) => (X63 = X64))) & X62(X63))) =>
27.25/27.57	                        (?[X65]:
27.25/27.57	                           ((![X66]: (X62(X66) => (X65 = X66))) & X62(X65))))) =>
27.25/27.57	                    ((![X67:$o,X68]: (in(X68,prop2set(X67)) => X67)) =>
27.25/27.57	                     ((![X69]: (in(X69,emptyset) => (![X70:$o]: X70))) =>
27.25/27.57	                      ((![X71]: (in(X71,emptyset) => $false)) =>
27.25/27.57	                       ((![X72]: (~in(X72,emptyset))) =>
27.25/27.57	                        ((![X73:($i > $o)]:
27.25/27.57	                            ((?[X74]:
27.25/27.57	                                ((![X75]: (X73(X75) => (X74 = X75))) & 
27.25/27.57	                                 X73(X74))) =>
27.25/27.57	                             (?[X76]: X73(X76)))) =>
27.25/27.57	                         ((![X77,X78]:
27.25/27.57	                             ((![X79]: (in(X79,X77) => in(X79,X78))) =>
27.25/27.57	                              ((![X80]: (in(X80,X78) => in(X80,X77))) =>
27.25/27.57	                               (X77 = X78)))) =>
27.25/27.57	                          ((![X81]:
27.25/27.57	                              ((![X82]: (~in(X82,X81))) => (X81 = emptyset))) =>
27.25/27.57	                           ((![X83]:
27.25/27.57	                               ((![X84]: (~in(X84,X83))) => (X83 = emptyset))) =>
27.25/27.57	                            ((![X85,X86:($i > $o),X87]:
27.25/27.57	                                (in(X87,X85) =>
27.25/27.57	                                 (in(X87,dsetconstr(X85,^[V_5]: X86(V_5))) <=>
27.25/27.57	                                  X86(X87)))) =>
27.25/27.57	                             ((![X88]:
27.25/27.57	                                 ((X88 != emptyset) => (?[X89]: in(X89,X88)))) =>
27.25/27.57	                              ((![X90,X91:($i > $o),X92]:
27.25/27.57	                                  (in(X92,X90) =>
27.25/27.57	                                   (X91(X92) =>
27.25/27.57	                                    (dsetconstr(X90,^[V_6]: X91(V_6)) !=
27.25/27.57	                                     emptyset)))) =>
27.25/27.57	                               ((![X93]:
27.25/27.57	                                   ((?[X94]: in(X94,X93)) =>
27.25/27.57	                                    (X93 != emptyset))) =>
27.25/27.57	                                ((![X95,X96]: in(X95,setadjoin(X95,X96))) =>
27.25/27.57	                                 (in(emptyset,setadjoin(emptyset,emptyset)) =>
27.25/27.57	                                  ((![X97,X98,X99]:
27.25/27.57	                                      (in(X99,X98) =>
27.25/27.57	                                       in(X99,setadjoin(X97,X98)))) =>
27.25/27.57	                                   ((![X100,X101,X102]:
27.25/27.57	                                       (in(X102,setadjoin(X100,X101)) =>
27.25/27.57	                                        (![X103:$o]:
27.25/27.57	                                           (((X102 = X100) => X103) =>
27.25/27.57	                                            ((in(X102,X101) => X103) => X103))))) =>
27.25/27.57	                                    ((![X104,X105,X106]:
27.25/27.57	                                        (in(X106,setadjoin(X104,X105)) =>
27.25/27.57	                                         (in(X106,X105) | (X106 = X104)))) =>
27.25/27.57	                                     ((![X107]:
27.25/27.57	                                         (dsetconstr(X107,^[V_7]: $true) =
27.25/27.57	                                          X107)) =>
27.25/27.57	                                      ((![X108,X109]:
27.25/27.57	                                          ((![X110]:
27.25/27.57	                                              (in(X110,X109) => in(X110,X108))) =>
27.25/27.57	                                           in(X109,powerset(X108)))) =>
27.25/27.57	                                       ((![X111]: in(emptyset,powerset(X111))) =>
27.25/27.57	                                        ((![X112]:
27.25/27.57	                                            in(emptyset,powerset(X112))) =>
27.25/27.57	                                         ((![X113,X114,X115]:
27.25/27.57	                                             (in(X114,powerset(X113)) =>
27.25/27.57	                                              (in(X115,X114) => in(X115,X113)))) =>
27.25/27.57	                                          ((![X116,X117,X118]:
27.25/27.57	                                              (in(X117,X118) =>
27.25/27.57	                                               (in(X118,X116) =>
27.25/27.57	                                                in(X117,setunion(X116))))) =>
27.25/27.57	                                           ((![X119,X120]:
27.25/27.57	                                               (in(X120,setunion(X119)) =>
27.25/27.57	                                                (![X121:$o]:
27.25/27.57	                                                   ((![X122]:
27.25/27.57	                                                       (in(X120,X122) =>
27.25/27.57	                                                        (in(X122,X119) =>
27.25/27.57	                                                         X121))) =>
27.25/27.57	                                                    X121)))) =>
27.25/27.57	                                            ((![X123,X124]:
27.25/27.57	                                                (in(X124,X123) =>
27.25/27.57	                                                 in(X124,
27.25/27.57	                                                    powerset(setunion(X123))))) =>
27.25/27.57	                                             ((![X125:($i > $o)]:
27.25/27.57	                                                 ((?[X126]:
27.25/27.57	                                                     ((![X127]:
27.25/27.57	                                                         (X125(X127) =>
27.25/27.57	                                                          (X126 = X127))) & 
27.25/27.57	                                                      X125(X126))) =>
27.25/27.57	                                                  (?[X128]:
27.25/27.57	                                                     (![X129]:
27.25/27.57	                                                        (X125(X129) <=>
27.25/27.57	                                                         (X129 = X128)))))) =>
27.25/27.57	                                              ((![X130]:
27.25/27.57	                                                  ((X130 != emptyset) =>
27.25/27.57	                                                   (?[X131]: in(X131,X130)))) =>
27.25/27.57	                                               ((![X132,X133]:
27.25/27.57	                                                   (in(X132,
27.25/27.57	                                                       setadjoin(X133,
27.25/27.57	                                                                 emptyset)) =>
27.25/27.57	                                                    (X132 = X133))) =>
27.25/27.57	                                                ((![X134,X135]:
27.25/27.57	                                                    ((X134 != X135) =>
27.25/27.57	                                                     (~
27.25/27.57	                                                       in(X135,
27.25/27.57	                                                          setadjoin(X134,
27.25/27.57	                                                                    emptyset))))) =>
27.25/27.57	                                                 ((![X136,X137]:
27.25/27.57	                                                     ((X136 = X137) =>
27.25/27.57	                                                      in(X136,
27.25/27.57	                                                         setadjoin(X137,
27.25/27.57	                                                                   emptyset)))) =>
27.25/27.57	                                                  ((![X138,X139]:
27.25/27.57	                                                      (in(X138,
27.25/27.57	                                                          setadjoin(X139,
27.25/27.57	                                                                    emptyset)) =>
27.25/27.57	                                                       in(X139,
27.25/27.57	                                                          setadjoin(X138,
27.25/27.57	                                                                    emptyset)))) =>
27.25/27.57	                                                   ((![X140,X141,X142]:
27.25/27.57	                                                       (in(X142,
27.25/27.57	                                                           setadjoin(
27.25/27.57	                                                           X140,
27.25/27.57	                                                           setadjoin(
27.25/27.57	                                                           X141,emptyset))) =>
27.25/27.57	                                                        ((X142 = X141) | 
27.25/27.57	                                                         (X142 = X140)))) =>
27.25/27.57	                                                    ((![X143,X144]:
27.25/27.57	                                                        in(X143,
27.25/27.57	                                                           setadjoin(
27.25/27.57	                                                           X143,
27.25/27.57	                                                           setadjoin(
27.25/27.57	                                                           X144,emptyset)))) =>
27.25/27.57	                                                     ((![X145,X146]:
27.25/27.57	                                                         in(X146,
27.25/27.57	                                                            setadjoin(
27.25/27.57	                                                            X145,
27.25/27.57	                                                            setadjoin(
27.25/27.57	                                                            X146,emptyset)))) =>
27.25/27.57	                                                      ((![X147,X148:($i > $o)]:
27.25/27.57	                                                          ((?[X149]:
27.25/27.57	                                                              (X148(X149) & 
27.25/27.57	                                                               in(X149,X147))) =>
27.25/27.57	                                                           ((dsetconstr(
27.25/27.57	                                                             X147,
27.25/27.57	                                                             ^[V_8]:
27.25/27.57	                                                               X148(V_8)) =
27.25/27.57	                                                             emptyset) =>
27.25/27.57	                                                            $false))) =>
27.25/27.57	                                                       ((![X150:($i > $o),
27.25/27.57	                                                           X151]:
27.25/27.57	                                                           (in(X151,emptyset) =>
27.25/27.57	                                                            X150(X151))) =>
27.25/27.57	                                                        ((![X152,
27.25/27.57	                                                            X153:($i > $o)]:
27.25/27.57	                                                            ((~
27.25/27.57	                                                               (![X154]:
27.25/27.57	                                                                  (in(
27.25/27.57	                                                                   X154,X152) =>
27.25/27.57	                                                                   X153(X154)))) =>
27.25/27.57	                                                             (?[X155]:
27.25/27.57	                                                                ((~X153(X155)) & 
27.25/27.57	                                                                 in(X155,X152))))) =>
27.25/27.57	                                                         ((![X156,
27.25/27.57	                                                             X157:($i > $o)]:
27.25/27.57	                                                             ((![X158]:
27.25/27.57	                                                                 (in(
27.25/27.57	                                                                  X158,X156) =>
27.25/27.57	                                                                  (~
27.25/27.57	                                                                    X157(
27.25/27.57	                                                                    X158)))) =>
27.25/27.57	                                                              (~
27.25/27.57	                                                                (?[X159]:
27.25/27.57	                                                                   (X157(
27.25/27.57	                                                                    X159) & 
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X159,X156)))))) =>
27.25/27.57	                                                          ((![X160,
27.25/27.57	                                                              X161:($i > $o)]:
27.25/27.57	                                                              ((~
27.25/27.57	                                                                 (?[X162]:
27.25/27.57	                                                                    (
27.25/27.57	                                                                    X161(
27.25/27.57	                                                                    X162) & 
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X162,X160)))) =>
27.25/27.57	                                                               (![X163]:
27.25/27.57	                                                                  (in(
27.25/27.57	                                                                   X163,X160) =>
27.25/27.57	                                                                   (~
27.25/27.57	                                                                    X161(
27.25/27.57	                                                                    X163)))))) =>
27.25/27.57	                                                           ((![X164,
27.25/27.57	                                                               X165:(
27.25/27.57	                                                               $i > $o)]:
27.25/27.57	                                                               ((?[X166]:
27.25/27.57	                                                                   ((
27.25/27.57	                                                                    ~
27.25/27.57	                                                                    X165(
27.25/27.57	                                                                    X166)) & 
27.25/27.57	                                                                    in(
27.25/27.57	                                                                    X166,X164))) =>
27.25/27.58	                                                                (~
27.25/27.58	                                                                  (![X167]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X167,X164) =>
27.25/27.58	                                                                    X165(
27.25/27.58	                                                                    X167)))))) =>
27.25/27.58	                                                            ((![X168:$o]:
27.25/27.58	                                                                (X168 =>
27.25/27.58	                                                                 in(emptyset,
27.25/27.58	                                                                    prop2set(
27.25/27.58	                                                                    X168)))) =>
27.25/27.58	                                                             ((![X169:$o]:
27.25/27.58	                                                                 (X169 =>
27.25/27.58	                                                                  set2prop(
27.25/27.58	                                                                  prop2set(
27.25/27.58	                                                                  X169)))) =>
27.25/27.58	                                                              ((![X170,
27.25/27.58	                                                                  X171:(
27.25/27.58	                                                                  $i > $o)]:
27.25/27.58	                                                                  ((~
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ?[X172]:
27.25/27.58	                                                                    (X171(
27.25/27.58	                                                                    X172) & 
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X172,X170)))) =>
27.25/27.58	                                                                   (![X173]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X173,X170) =>
27.25/27.58	                                                                    (~
27.25/27.58	                                                                    X171(
27.25/27.58	                                                                    X173)))))) =>
27.25/27.58	                                                               ((![X174,
27.25/27.58	                                                                   X175:(
27.25/27.58	                                                                   $i > $o)]:
27.25/27.58	                                                                   ((
27.25/27.58	                                                                    ~
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X176]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X176,X174) =>
27.25/27.58	                                                                    X175(
27.25/27.58	                                                                    X176)))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ?[X177]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ~
27.25/27.58	                                                                    X175(
27.25/27.58	                                                                    X177)) & 
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X177,X174))))) =>
27.25/27.58	                                                                ((![X178:(
27.25/27.58	                                                                    $i > $o)]:
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ?[X179]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ![X180]:
27.25/27.58	                                                                    (X178(
27.25/27.58	                                                                    X180) =>
27.25/27.58	                                                                    (X179 =
27.25/27.58	                                                                    X180))) & 
27.25/27.58	                                                                    X178(
27.25/27.58	                                                                    X179))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ?[X181]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ![X182]:
27.25/27.58	                                                                    (X178(
27.25/27.58	                                                                    X182) =>
27.25/27.58	                                                                    (X181 =
27.25/27.58	                                                                    X182))) & 
27.25/27.58	                                                                    X178(
27.25/27.58	                                                                    X181))))) =>
27.25/27.58	                                                                 ((![X183:(
27.25/27.58	                                                                    $i > $o)]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ?[X184]:
27.25/27.58	                                                                    X183(
27.25/27.58	                                                                    X184)) =>
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ![X185,
27.25/27.58	                                                                    X186]:
27.25/27.58	                                                                    (X183(
27.25/27.58	                                                                    X185) =>
27.25/27.58	                                                                    (X183(
27.25/27.58	                                                                    X186) =>
27.25/27.58	                                                                    (X185 =
27.25/27.58	                                                                    X186)))) =>
27.25/27.58	                                                                    (?[X187]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ![X188]:
27.25/27.58	                                                                    (X183(
27.25/27.58	                                                                    X188) =>
27.25/27.58	                                                                    (X187 =
27.25/27.58	                                                                    X188))) & 
27.25/27.58	                                                                    X183(
27.25/27.58	                                                                    X187)))))) =>
27.25/27.58	                                                                  ((![X189:(
27.25/27.58	                                                                    $i > $o)]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ?[X190]:
27.25/27.58	                                                                    (![X191]:
27.25/27.58	                                                                    (X189(
27.25/27.58	                                                                    X191) <=>
27.25/27.58	                                                                    (X191 =
27.25/27.58	                                                                    X190)))) =>
27.25/27.58	                                                                    (?[X192]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ![X193]:
27.25/27.58	                                                                    (X189(
27.25/27.58	                                                                    X193) =>
27.25/27.58	                                                                    (X192 =
27.25/27.58	                                                                    X193))) & 
27.25/27.58	                                                                    X189(
27.25/27.58	                                                                    X192))))) =>
27.25/27.58	                                                                   ((
27.25/27.58	                                                                    ![X194,
27.25/27.58	                                                                    X195]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    X194 =
27.25/27.58	                                                                    X195) =>
27.25/27.58	                                                                    (![X196,
27.25/27.58	                                                                    X197]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    X196 =
27.25/27.58	                                                                    X197) =>
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X196,X194) =>
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X197,X195)))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X198,
27.25/27.58	                                                                    X199]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    X198 =
27.25/27.58	                                                                    X199) =>
27.25/27.58	                                                                    (![X200,
27.25/27.58	                                                                    X201]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    X200 =
27.25/27.58	                                                                    X201) =>
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X200,X198) <=>
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X201,X199)))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X202:(
27.25/27.58	                                                                    $i > $o)]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ?[X203]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ![X204]:
27.25/27.58	                                                                    (X202(
27.25/27.58	                                                                    X204) =>
27.25/27.58	                                                                    (X203 =
27.25/27.58	                                                                    X204))) & 
27.25/27.58	                                                                    X202(
27.25/27.58	                                                                    X203))) =>
27.25/27.58	                                                                    (![X205,
27.25/27.58	                                                                    X206]:
27.25/27.58	                                                                    (X202(
27.25/27.58	                                                                    X205) =>
27.25/27.58	                                                                    (X202(
27.25/27.58	                                                                    X206) =>
27.25/27.58	                                                                    (X205 =
27.25/27.58	                                                                    X206)))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X207:(
27.25/27.58	                                                                    $i > $o),
27.25/27.58	                                                                    X208:(
27.25/27.58	                                                                    $i > $o)]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ![X209,
27.25/27.58	                                                                    X210]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    X209 =
27.25/27.58	                                                                    X210) =>
27.25/27.58	                                                                    (X207(
27.25/27.58	                                                                    X209) <=>
27.25/27.58	                                                                    X208(
27.25/27.58	                                                                    X210)))) =>
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ?[X211]:
27.25/27.58	                                                                    zip_tseitin5(
27.25/27.58	                                                                    X211,X207)) <=>
27.25/27.58	                                                                    (?[X213]:
27.25/27.58	                                                                    zip_tseitin5(
27.25/27.58	                                                                    X213,X208))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    emptyset =
27.25/27.58	                                                                    emptyset) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X215,
27.25/27.58	                                                                    X216]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    X215 =
27.25/27.58	                                                                    X216) =>
27.25/27.58	                                                                    (![X217,
27.25/27.58	                                                                    X218]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    X217 =
27.25/27.58	                                                                    X218) =>
27.25/27.58	                                                                    (setadjoin(
27.25/27.58	                                                                    X215,X217) =
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X216,X218)))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X219,
27.25/27.58	                                                                    X220]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    X219 =
27.25/27.58	                                                                    X220) =>
27.25/27.58	                                                                    (powerset(
27.25/27.58	                                                                    X219) =
27.25/27.58	                                                                    powerset(
27.25/27.58	                                                                    X220)))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X221,
27.25/27.58	                                                                    X222]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    X221 =
27.25/27.58	                                                                    X222) =>
27.25/27.58	                                                                    (setunion(
27.25/27.58	                                                                    X221) =
27.25/27.58	                                                                    setunion(
27.25/27.58	                                                                    X222)))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    omega =
27.25/27.58	                                                                    omega) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X223:(
27.25/27.58	                                                                    $i > $o)]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ?[X224]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ![X225]:
27.25/27.58	                                                                    (X223(
27.25/27.58	                                                                    X225) =>
27.25/27.58	                                                                    (X224 =
27.25/27.58	                                                                    X225))) & 
27.25/27.58	                                                                    X223(
27.25/27.58	                                                                    X224))) =>
27.25/27.58	                                                                    (![X226,
27.25/27.58	                                                                    X227]:
27.25/27.58	                                                                    (X223(
27.25/27.58	                                                                    X226) =>
27.25/27.58	                                                                    (X223(
27.25/27.58	                                                                    X227) =>
27.25/27.58	                                                                    (X226 =
27.25/27.58	                                                                    X227)))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X228:(
27.25/27.58	                                                                    $i > $o),
27.25/27.58	                                                                    X229:(
27.25/27.58	                                                                    $i > $o)]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ![X230,
27.25/27.58	                                                                    X231]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    X230 =
27.25/27.58	                                                                    X231) =>
27.25/27.58	                                                                    (X228(
27.25/27.58	                                                                    X230) <=>
27.25/27.58	                                                                    X229(
27.25/27.58	                                                                    X231)))) =>
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ?[X232]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ![X233]:
27.25/27.58	                                                                    (X228(
27.25/27.58	                                                                    X233) =>
27.25/27.58	                                                                    (X232 =
27.25/27.58	                                                                    X233))) & 
27.25/27.58	                                                                    X228(
27.25/27.58	                                                                    X232))) =>
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ?[X234]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ![X235]:
27.25/27.58	                                                                    (X229(
27.25/27.58	                                                                    X235) =>
27.25/27.58	                                                                    (X234 =
27.25/27.58	                                                                    X235))) & 
27.25/27.58	                                                                    X229(
27.25/27.58	                                                                    X234))) =>
27.25/27.58	                                                                    (descr(
27.25/27.58	                                                                    ^[V_9]:
27.25/27.58	                                                                    X228(V_9)) =
27.25/27.58	                                                                    descr(
27.25/27.58	                                                                    ^[V_10]:
27.25/27.58	                                                                    X229(
27.25/27.58	                                                                    V_10))))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X236,
27.25/27.58	                                                                    X237]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    X236 =
27.25/27.58	                                                                    X237) =>
27.25/27.58	                                                                    (![X238:(
27.25/27.58	                                                                    $i > $o),
27.25/27.58	                                                                    X239:(
27.25/27.58	                                                                    $i > $o)]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ![X240]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X240,X236) =>
27.25/27.58	                                                                    (![X241]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X241,X237) =>
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    X240 =
27.25/27.58	                                                                    X241) =>
27.25/27.58	                                                                    (X238(
27.25/27.58	                                                                    X240) <=>
27.25/27.58	                                                                    X239(
27.25/27.58	                                                                    X241))))))) =>
27.25/27.58	                                                                    (dsetconstr(
27.25/27.58	                                                                    X236,
27.25/27.58	                                                                    ^[V_11]:
27.25/27.58	                                                                    X238(
27.25/27.58	                                                                    V_11)) =
27.25/27.58	                                                                    dsetconstr(
27.25/27.58	                                                                    X237,
27.25/27.58	                                                                    ^[V_12]:
27.25/27.58	                                                                    X239(
27.25/27.58	                                                                    V_12))))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X242,
27.25/27.58	                                                                    X243]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ![X244]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X244,X242) =>
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X244,X243))) =>
27.25/27.58	                                                                    subset(
27.25/27.58	                                                                    X242,X243))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X245,
27.25/27.58	                                                                    X246]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    X245 =
27.25/27.58	                                                                    X246) =>
27.25/27.58	                                                                    subset(
27.25/27.58	                                                                    X246,X245))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X247,
27.25/27.58	                                                                    X248]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    X247 =
27.25/27.58	                                                                    X248) =>
27.25/27.58	                                                                    subset(
27.25/27.58	                                                                    X247,X248))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X249,
27.25/27.58	                                                                    X250]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ![X251]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X251,X249) =>
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X251,X250))) =>
27.25/27.58	                                                                    subset(
27.25/27.58	                                                                    X249,X250))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X252]:
27.25/27.58	                                                                    subset(
27.25/27.58	                                                                    emptyset,
27.25/27.58	                                                                    X252)) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X253,
27.25/27.58	                                                                    X254,X255]:
27.25/27.58	                                                                    (subset(
27.25/27.58	                                                                    X253,X254) =>
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X255,X253) =>
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X255,X254)))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X256,
27.25/27.58	                                                                    X257,X258]:
27.25/27.58	                                                                    (subset(
27.25/27.58	                                                                    X256,X257) =>
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ~
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X258,X257)) =>
27.25/27.58	                                                                    (~
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X258,X256))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X259,
27.25/27.58	                                                                    X260,X261]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X261,X259) =>
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ~
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X261,X260)) =>
27.25/27.58	                                                                    (~
27.25/27.58	                                                                    subset(
27.25/27.58	                                                                    X259,X260))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X262,
27.25/27.58	                                                                    X263]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ~
27.25/27.58	                                                                    subset(
27.25/27.58	                                                                    X262,X263)) =>
27.25/27.58	                                                                    (X262 !=
27.25/27.58	                                                                    X263))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X264,
27.25/27.58	                                                                    X265,X266]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X266,X264) =>
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ~
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X266,X265)) =>
27.25/27.58	                                                                    (X264 !=
27.25/27.58	                                                                    X265)))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X267]:
27.25/27.58	                                                                    subset(
27.25/27.58	                                                                    X267,X267)) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X268,
27.25/27.58	                                                                    X269,X270]:
27.25/27.58	                                                                    (subset(
27.25/27.58	                                                                    X268,X269) =>
27.25/27.58	                                                                    (subset(
27.25/27.58	                                                                    X269,X270) =>
27.25/27.58	                                                                    subset(
27.25/27.58	                                                                    X268,X270)))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X271,
27.25/27.58	                                                                    X272]:
27.25/27.58	                                                                    subset(
27.25/27.58	                                                                    X272,
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X271,X272))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X273,
27.25/27.58	                                                                    X274,X275]:
27.25/27.58	                                                                    (subset(
27.25/27.58	                                                                    X273,X275) =>
27.25/27.58	                                                                    subset(
27.25/27.58	                                                                    X273,
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X274,X275)))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X276,
27.25/27.58	                                                                    X277]:
27.25/27.58	                                                                    (subset(
27.25/27.58	                                                                    X276,X277) =>
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X276,
27.25/27.58	                                                                    powerset(
27.25/27.58	                                                                    X277)))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X278,
27.25/27.58	                                                                    X279]:
27.25/27.58	                                                                    (subset(
27.25/27.58	                                                                    X278,X279) =>
27.25/27.58	                                                                    (subset(
27.25/27.58	                                                                    X279,X278) =>
27.25/27.58	                                                                    (X278 =
27.25/27.58	                                                                    X279)))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X280]:
27.25/27.58	                                                                    (subset(
27.25/27.58	                                                                    X280,
27.25/27.58	                                                                    emptyset) =>
27.25/27.58	                                                                    (X280 =
27.25/27.58	                                                                    emptyset))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X281,
27.25/27.58	                                                                    X282]:
27.25/27.58	                                                                    (subset(
27.25/27.58	                                                                    X282,X281) =>
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X282,
27.25/27.58	                                                                    powerset(
27.25/27.58	                                                                    X281)))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X283,
27.25/27.58	                                                                    X284]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X284,
27.25/27.58	                                                                    powerset(
27.25/27.58	                                                                    X283)) =>
27.25/27.58	                                                                    subset(
27.25/27.58	                                                                    X284,X283))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X285]:
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X285,
27.25/27.58	                                                                    powerset(
27.25/27.58	                                                                    X285))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X286,
27.25/27.58	                                                                    X287]:
27.25/27.58	                                                                    (subset(
27.25/27.58	                                                                    X286,X287) =>
27.25/27.58	                                                                    subset(
27.25/27.58	                                                                    powerset(
27.25/27.58	                                                                    X286),
27.25/27.58	                                                                    powerset(
27.25/27.58	                                                                    X287)))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X288,
27.25/27.58	                                                                    X289:(
27.25/27.58	                                                                    $i > $o)]:
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    dsetconstr(
27.25/27.58	                                                                    X288,
27.25/27.58	                                                                    ^[V_13]:
27.25/27.58	                                                                    X289(
27.25/27.58	                                                                    V_13)),
27.25/27.58	                                                                    powerset(
27.25/27.58	                                                                    X288))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X290,
27.25/27.58	                                                                    X291:(
27.25/27.58	                                                                    $i > $o)]:
27.25/27.58	                                                                    subset(
27.25/27.58	                                                                    dsetconstr(
27.25/27.58	                                                                    X290,
27.25/27.58	                                                                    ^[V_14]:
27.25/27.58	                                                                    X291(
27.25/27.58	                                                                    V_14)),
27.25/27.58	                                                                    X290)) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X292,
27.25/27.58	                                                                    X293,X294]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X294,X292) =>
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X294,
27.25/27.58	                                                                    binunion(
27.25/27.58	                                                                    X292,X293)))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X295,
27.25/27.58	                                                                    X296]:
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X296,
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X295,
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X296,
27.25/27.58	                                                                    emptyset)))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X297,
27.25/27.58	                                                                    X298,X299]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X299,X298) =>
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X299,
27.25/27.58	                                                                    binunion(
27.25/27.58	                                                                    X297,X298)))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X300,
27.25/27.58	                                                                    X301,
27.25/27.58	                                                                    X302,
27.25/27.58	                                                                    X303:$o]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X302,
27.25/27.58	                                                                    binunion(
27.25/27.58	                                                                    X300,X301)) =>
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X302,X300) =>
27.25/27.58	                                                                    X303) =>
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X302,X301) =>
27.25/27.58	                                                                    X303) =>
27.25/27.58	                                                                    X303)))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X304,
27.25/27.58	                                                                    X305,X306]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X306,
27.25/27.58	                                                                    binunion(
27.25/27.58	                                                                    X304,X305)) =>
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X306,X305) | 
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X306,X304)))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X307,
27.25/27.58	                                                                    X308]:
27.25/27.58	                                                                    subset(
27.25/27.58	                                                                    X307,
27.25/27.58	                                                                    binunion(
27.25/27.58	                                                                    X307,X308))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X309,
27.25/27.58	                                                                    X310]:
27.25/27.58	                                                                    subset(
27.25/27.58	                                                                    X310,
27.25/27.58	                                                                    binunion(
27.25/27.58	                                                                    X309,X310))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X311,
27.25/27.58	                                                                    X312,X313]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X313,X311) =>
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X313,X312) =>
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X313,
27.25/27.58	                                                                    binintersect(
27.25/27.58	                                                                    X311,X312))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X314,
27.25/27.58	                                                                    X315,X316]:
27.25/27.58	                                                                    (subset(
27.25/27.58	                                                                    X316,X314) =>
27.25/27.58	                                                                    (subset(
27.25/27.58	                                                                    X316,X315) =>
27.25/27.58	                                                                    subset(
27.25/27.58	                                                                    X316,
27.25/27.58	                                                                    binintersect(
27.25/27.58	                                                                    X314,X315))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X317,
27.25/27.58	                                                                    X318,X319]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X319,
27.25/27.58	                                                                    binintersect(
27.25/27.58	                                                                    X317,X318)) =>
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X319,X317))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X320,
27.25/27.58	                                                                    X321]:
27.25/27.58	                                                                    subset(
27.25/27.58	                                                                    binintersect(
27.25/27.58	                                                                    X320,X321),
27.25/27.58	                                                                    X320)) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X322,
27.25/27.58	                                                                    X323]:
27.25/27.58	                                                                    (subset(
27.25/27.58	                                                                    X322,X323) =>
27.25/27.58	                                                                    (binintersect(
27.25/27.58	                                                                    X322,X323) =
27.25/27.58	                                                                    X322))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X324,
27.25/27.58	                                                                    X325]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    binintersect(
27.25/27.58	                                                                    X324,X325) =
27.25/27.58	                                                                    X325) =>
27.25/27.58	                                                                    subset(
27.25/27.58	                                                                    X325,X324))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X326,
27.25/27.58	                                                                    X327,X328]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X328,
27.25/27.58	                                                                    binintersect(
27.25/27.58	                                                                    X326,X327)) =>
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X328,X327))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X329,
27.25/27.58	                                                                    X330]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ~
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ?[X331]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X331,X330) & 
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X331,X329)))) =>
27.25/27.58	                                                                    (binintersect(
27.25/27.58	                                                                    X329,X330) =
27.25/27.58	                                                                    emptyset))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X332,
27.25/27.58	                                                                    X333]:
27.25/27.58	                                                                    subset(
27.25/27.58	                                                                    binintersect(
27.25/27.58	                                                                    X332,X333),
27.25/27.58	                                                                    X333)) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X334,
27.25/27.58	                                                                    X335]:
27.25/27.58	                                                                    (subset(
27.25/27.58	                                                                    X335,X334) =>
27.25/27.58	                                                                    (binintersect(
27.25/27.58	                                                                    X334,X335) =
27.25/27.58	                                                                    X335))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X336,
27.25/27.58	                                                                    X337]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    binintersect(
27.25/27.58	                                                                    X336,X337) =
27.25/27.58	                                                                    X336) =>
27.25/27.58	                                                                    subset(
27.25/27.58	                                                                    X336,X337))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X338,
27.25/27.58	                                                                    X339,X340]:
27.25/27.58	                                                                    (binintersect(
27.25/27.58	                                                                    X338,
27.25/27.58	                                                                    binunion(
27.25/27.58	                                                                    X339,X340)) =
27.25/27.58	                                                                    binunion(
27.25/27.58	                                                                    binintersect(
27.25/27.58	                                                                    X338,X339),
27.25/27.58	                                                                    binintersect(
27.25/27.58	                                                                    X338,X340)))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X341,
27.25/27.58	                                                                    X342,X343]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X343,X341) =>
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ~
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X343,X342)) =>
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X343,
27.25/27.58	                                                                    setminus(
27.25/27.58	                                                                    X341,X342))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X344,
27.25/27.58	                                                                    X345,X346]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X346,
27.25/27.58	                                                                    setminus(
27.25/27.58	                                                                    X344,X345)) =>
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X346,X344))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X347,
27.25/27.58	                                                                    X348,X349]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X349,
27.25/27.58	                                                                    setminus(
27.25/27.58	                                                                    X347,X348)) =>
27.25/27.58	                                                                    (~
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X349,X348)))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X350,
27.25/27.58	                                                                    X351]:
27.25/27.58	                                                                    (subset(
27.25/27.58	                                                                    X350,X351) =>
27.25/27.58	                                                                    (setminus(
27.25/27.58	                                                                    X350,X351) =
27.25/27.58	                                                                    emptyset))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X352,
27.25/27.58	                                                                    X353,X354]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ~
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X354,
27.25/27.58	                                                                    setminus(
27.25/27.58	                                                                    X352,X353))) =>
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X354,X352) =>
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X354,X353)))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X355,
27.25/27.58	                                                                    X356,X357]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ~
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X357,
27.25/27.58	                                                                    setminus(
27.25/27.58	                                                                    X355,X356))) =>
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ~
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X357,X356)) =>
27.25/27.58	                                                                    (~
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X357,X355))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X358,
27.25/27.58	                                                                    X359,X360]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ~
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X360,X358)) =>
27.25/27.58	                                                                    (~
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X360,
27.25/27.58	                                                                    setminus(
27.25/27.58	                                                                    X358,X359))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X361,
27.25/27.58	                                                                    X362,X363]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X363,X362) =>
27.25/27.58	                                                                    (~
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X363,
27.25/27.58	                                                                    setminus(
27.25/27.58	                                                                    X361,X362))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X364,
27.25/27.58	                                                                    X365]:
27.25/27.58	                                                                    subset(
27.25/27.58	                                                                    setminus(
27.25/27.58	                                                                    X364,X365),
27.25/27.58	                                                                    X364)) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X366,
27.25/27.58	                                                                    X367]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    setminus(
27.25/27.58	                                                                    X366,X367) =
27.25/27.58	                                                                    emptyset) =>
27.25/27.58	                                                                    subset(
27.25/27.58	                                                                    X366,X367))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X368,
27.25/27.58	                                                                    X369,X370]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X370,
27.25/27.58	                                                                    symdiff(
27.25/27.58	                                                                    X368,X369)) =>
27.25/27.58	                                                                    (![X371:$o]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X370,X368) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ~
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X370,X369)) =>
27.25/27.58	                                                                    X371)) =>
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ~
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X370,X368)) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X370,X369) =>
27.25/27.58	                                                                    X371)) =>
27.25/27.58	                                                                    X371))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X372,
27.25/27.58	                                                                    X373,X374]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X374,X372) =>
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ~
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X374,X373)) =>
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X374,
27.25/27.58	                                                                    symdiff(
27.25/27.58	                                                                    X372,X373))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X375,
27.25/27.58	                                                                    X376,X377]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ~
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X377,X375)) =>
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X377,X376) =>
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X377,
27.25/27.58	                                                                    symdiff(
27.25/27.58	                                                                    X375,X376))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X378,
27.25/27.58	                                                                    X379,X380]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X380,X378) =>
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X380,X379) =>
27.25/27.58	                                                                    (~
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X380,
27.25/27.58	                                                                    symdiff(
27.25/27.58	                                                                    X378,X379)))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X381,
27.25/27.58	                                                                    X382,X383]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ~
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X383,X381)) =>
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ~
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X383,X382)) =>
27.25/27.58	                                                                    (~
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X383,
27.25/27.58	                                                                    symdiff(
27.25/27.58	                                                                    X381,X382)))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X384,
27.25/27.58	                                                                    X385]:
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X385,
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X384,
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X385,
27.25/27.58	                                                                    emptyset)))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X386,
27.25/27.58	                                                                    X387]:
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X386,
27.25/27.58	                                                                    setunion(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X386,
27.25/27.58	                                                                    emptyset),
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X386,
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X387,
27.25/27.58	                                                                    emptyset)),
27.25/27.58	                                                                    emptyset))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X388,
27.25/27.58	                                                                    X389]:
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X389,
27.25/27.58	                                                                    setunion(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X388,
27.25/27.58	                                                                    emptyset),
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X388,
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X389,
27.25/27.58	                                                                    emptyset)),
27.25/27.58	                                                                    emptyset))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X390,
27.25/27.58	                                                                    X391]:
27.25/27.58	                                                                    (?[X392]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ?[X393]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X390,
27.25/27.58	                                                                    emptyset),
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X390,
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X391,
27.25/27.58	                                                                    emptyset)),
27.25/27.58	                                                                    emptyset)) =
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X392,
27.25/27.58	                                                                    emptyset),
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X392,
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X393,
27.25/27.58	                                                                    emptyset)),
27.25/27.58	                                                                    emptyset))) & 
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X393,
27.25/27.58	                                                                    setunion(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X390,
27.25/27.58	                                                                    emptyset),
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X390,
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X391,
27.25/27.58	                                                                    emptyset)),
27.25/27.58	                                                                    emptyset)))))) & 
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X392,
27.25/27.58	                                                                    setunion(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X390,
27.25/27.58	                                                                    emptyset),
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X390,
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X391,
27.25/27.58	                                                                    emptyset)),
27.25/27.58	                                                                    emptyset))))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X394,
27.25/27.58	                                                                    X395]:
27.25/27.58	                                                                    (?[X396]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ?[X397]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X394,
27.25/27.58	                                                                    emptyset),
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X394,
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X395,
27.25/27.58	                                                                    emptyset)),
27.25/27.58	                                                                    emptyset)) =
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X396,
27.25/27.58	                                                                    emptyset),
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X396,
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X397,
27.25/27.58	                                                                    emptyset)),
27.25/27.58	                                                                    emptyset))) & 
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X397,
27.25/27.58	                                                                    setunion(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X394,
27.25/27.58	                                                                    emptyset),
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X394,
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X395,
27.25/27.58	                                                                    emptyset)),
27.25/27.58	                                                                    emptyset)))))) & 
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X396,
27.25/27.58	                                                                    setunion(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X394,
27.25/27.58	                                                                    emptyset),
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X394,
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X395,
27.25/27.58	                                                                    emptyset)),
27.25/27.58	                                                                    emptyset))))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X398,
27.25/27.58	                                                                    X399]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X399,X398) =>
27.25/27.58	                                                                    subset(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X399,
27.25/27.58	                                                                    emptyset),
27.25/27.58	                                                                    X398))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X400,
27.25/27.58	                                                                    X401]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X401,X400) =>
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X401,
27.25/27.58	                                                                    emptyset),
27.25/27.58	                                                                    powerset(
27.25/27.58	                                                                    X400)))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X402,
27.25/27.58	                                                                    X403,X404]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X404,X402) =>
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X404,
27.25/27.58	                                                                    emptyset),
27.25/27.58	                                                                    powerset(
27.25/27.58	                                                                    binunion(
27.25/27.58	                                                                    X402,X403))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X405,
27.25/27.58	                                                                    X406,X407]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X407,
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X405,
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X406,
27.25/27.58	                                                                    emptyset))) =>
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    X407 =
27.25/27.58	                                                                    X406) | 
27.25/27.58	                                                                    (X407 =
27.25/27.58	                                                                    X405)))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X408,
27.25/27.58	                                                                    X409,X410]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X410,X408) =>
27.25/27.58	                                                                    (![X411]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X411,X409) =>
27.25/27.58	                                                                    subset(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X410,
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X411,
27.25/27.58	                                                                    emptyset)),
27.25/27.58	                                                                    binunion(
27.25/27.58	                                                                    X408,X409)))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X412,
27.25/27.58	                                                                    X413,X414]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X414,X412) =>
27.25/27.58	                                                                    (![X415]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X415,X413) =>
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X414,
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X415,
27.25/27.58	                                                                    emptyset)),
27.25/27.58	                                                                    powerset(
27.25/27.58	                                                                    binunion(
27.25/27.58	                                                                    X412,X413))))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X416,
27.25/27.58	                                                                    X417,X418]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X418,X416) =>
27.25/27.58	                                                                    (![X419]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X419,X417) =>
27.25/27.58	                                                                    subset(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X418,
27.25/27.58	                                                                    emptyset),
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X418,
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X419,
27.25/27.58	                                                                    emptyset)),
27.25/27.58	                                                                    emptyset)),
27.25/27.58	                                                                    powerset(
27.25/27.58	                                                                    binunion(
27.25/27.58	                                                                    X416,X417))))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X420,
27.25/27.58	                                                                    X421,X422]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X422,X420) =>
27.25/27.58	                                                                    (![X423]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X423,X421) =>
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X422,
27.25/27.58	                                                                    emptyset),
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X422,
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X423,
27.25/27.58	                                                                    emptyset)),
27.25/27.58	                                                                    emptyset)),
27.25/27.58	                                                                    powerset(
27.25/27.58	                                                                    powerset(
27.25/27.58	                                                                    binunion(
27.25/27.58	                                                                    X420,X421)))))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X424,
27.25/27.58	                                                                    X425,X426]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X426,X424) =>
27.25/27.58	                                                                    (![X427]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X427,X425) =>
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X426,
27.25/27.58	                                                                    emptyset),
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X426,
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X427,
27.25/27.58	                                                                    emptyset)),
27.25/27.58	                                                                    emptyset)),
27.25/27.58	                                                                    powerset(
27.25/27.58	                                                                    powerset(
27.25/27.58	                                                                    binunion(
27.25/27.58	                                                                    X424,X425)))))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X428,
27.25/27.58	                                                                    X429,X430]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X430,X428) =>
27.25/27.58	                                                                    (![X431]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X431,X429) =>
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X430,
27.25/27.58	                                                                    emptyset),
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X430,
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X431,
27.25/27.58	                                                                    emptyset)),
27.25/27.58	                                                                    emptyset)),
27.25/27.58	                                                                    cartprod(
27.25/27.58	                                                                    X428,X429)))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X432,
27.25/27.58	                                                                    X433,X434]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X434,
27.25/27.58	                                                                    cartprod(
27.25/27.58	                                                                    X432,X433)) =>
27.25/27.58	                                                                    (?[X435]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ?[X436]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    X434 =
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X435,
27.25/27.58	                                                                    emptyset),
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X435,
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X436,
27.25/27.58	                                                                    emptyset)),
27.25/27.58	                                                                    emptyset))) & 
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X436,X433))) & 
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X435,X432))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X437,
27.25/27.58	                                                                    X438,X439]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X439,
27.25/27.58	                                                                    cartprod(
27.25/27.58	                                                                    X437,X438)) =>
27.25/27.58	                                                                    (?[X440]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ?[X441]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    X439 =
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X440,
27.25/27.58	                                                                    emptyset),
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X440,
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X441,
27.25/27.58	                                                                    emptyset)),
27.25/27.58	                                                                    emptyset))) & 
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X441,
27.25/27.58	                                                                    setunion(
27.25/27.58	                                                                    X439)))) & 
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X440,
27.25/27.58	                                                                    setunion(
27.25/27.58	                                                                    X439)))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X442,
27.25/27.58	                                                                    X443]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X443,
27.25/27.58	                                                                    setunion(
27.25/27.58	                                                                    X442)) =>
27.25/27.58	                                                                    (?[X444]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X443,X444) & 
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X444,X442))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X445]:
27.25/27.58	                                                                    subset(
27.25/27.58	                                                                    setunion(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X445,
27.25/27.58	                                                                    emptyset)),
27.25/27.58	                                                                    X445)) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X446]:
27.25/27.58	                                                                    subset(
27.25/27.58	                                                                    X446,
27.25/27.58	                                                                    setunion(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X446,
27.25/27.58	                                                                    emptyset)))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X447]:
27.25/27.58	                                                                    (setunion(
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X447,
27.25/27.58	                                                                    emptyset)) =
27.25/27.58	                                                                    X447)) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X448,
27.25/27.58	                                                                    X449:(
27.25/27.58	                                                                    $i > $o)]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ![X450]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X450,X448) =>
27.25/27.58	                                                                    (![X451]:
27.25/27.58	                                                                    (in(
27.25/27.58	                                                                    X451,X448) =>
27.25/27.58	                                                                    (X449(
27.25/27.58	                                                                    X450) =>
27.25/27.58	                                                                    (X449(
27.25/27.58	                                                                    X451) =>
27.25/27.58	                                                                    (X450 =
27.25/27.58	                                                                    X451))))))) =>
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ?[X452]:
27.25/27.58	                                                                    (X449(
27.25/27.58	                                                                    X452) & 
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X452,X448))) =>
27.25/27.58	                                                                    (?[X453]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    dsetconstr(
27.25/27.58	                                                                    X448,
27.25/27.58	                                                                    ^[V_15]:
27.25/27.58	                                                                    X449(
27.25/27.58	                                                                    V_15)) =
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X453,
27.25/27.58	                                                                    emptyset)) & 
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X453,
27.25/27.58	                                                                    dsetconstr(
27.25/27.58	                                                                    X448,
27.25/27.58	                                                                    ^[V_16]:
27.25/27.58	                                                                    X449(
27.25/27.58	                                                                    V_16)))))))) =>
27.25/27.58	                                                                    (
27.25/27.58	                                                                    ![X454,
27.25/27.58	                                                                    X455:(
27.25/27.58	                                                                    $i > $o)]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    ?[X456]:
27.25/27.58	                                                                    ((
27.25/27.58	                                                                    dsetconstr(
27.25/27.58	                                                                    X454,
27.25/27.58	                                                                    ^[V_17]:
27.25/27.58	                                                                    X455(
27.25/27.58	                                                                    V_17)) =
27.25/27.58	                                                                    setadjoin(
27.25/27.58	                                                                    X456,
27.25/27.58	                                                                    emptyset)) & 
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X456,
27.25/27.58	                                                                    dsetconstr(
27.25/27.58	                                                                    X454,
27.25/27.58	                                                                    ^[V_18]:
27.25/27.58	                                                                    X455(
27.25/27.58	                                                                    V_18))))) =>
27.25/27.58	                                                                    (?[X457]:
27.25/27.58	                                                                    (X455(
27.25/27.58	                                                                    X457) & 
27.25/27.58	                                                                    in(
27.25/27.58	                                                                    X457,X454))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))).
27.25/27.58	tff('160', plain,
27.25/27.58	    in(sk_X456_, dsetconstr(sk_X454_, (^[Y0 : $i]: sk_X455_(Y0)))),
27.25/27.58	    inference('cnf', [status(esa)], [zf_stmt_14])).
27.25/27.58	tff('161', plain, in(sk_X456_, dsetconstr(sk_X454_, sk_X455_)),
27.25/27.58	    inference('lambda-normalize', [status(thm)], ['160'])).
27.25/27.58	tff('162', plain,
27.25/27.58	    ![X491 : $i > $o, X492, X493]:
27.25/27.58	      (X491(X492) | ~ in(X492, dsetconstr(X493, (^[Y0 : $i]: X491(Y0))))),
27.25/27.58	    inference('cnf', [status(esa)], [zf_stmt_14])).
27.25/27.58	tff('163', plain,
27.25/27.58	    ![X491 : $i > $o, X492, X493]:
27.25/27.58	      (X491(X492) | ~ in(X492, dsetconstr(X493, X491))),
27.25/27.58	    inference('lambda-normalize', [status(thm)], ['162'])).
27.25/27.58	tff('164', plain, sk_X455_(sk_X456_),
27.25/27.58	    inference('sup-', [status(thm)], ['161', '163'])).
27.25/27.58	tff('165', plain,
27.25/27.58	    ![X594, X595 : $i > $o]:
27.25/27.58	      in(dsetconstr(X594, (^[Y0 : $i]: X595(Y0))), powerset(X594)),
27.25/27.58	    inference('cnf', [status(esa)], [zf_stmt_14])).
27.25/27.58	tff('166', plain,
27.25/27.58	    ![X594, X595 : $i > $o]: in(dsetconstr(X594, X595), powerset(X594)),
27.25/27.58	    inference('lambda-normalize', [status(thm)], ['165'])).
27.25/27.58	tff('167', plain,
27.25/27.58	    ![X517, X518, X519]:
27.25/27.58	      (in(X517, setunion(X518)) | ~ in(X517, X519) | ~ in(X519, X518)),
27.25/27.58	    inference('cnf', [status(esa)], [zf_stmt_14])).
27.25/27.58	tff('168', plain,
27.25/27.58	    ![X0]:
27.25/27.58	      (~ in(dsetconstr(sk_X454_, sk_X455_), X0) | in(sk_X456_, setunion(X0))),
27.25/27.58	    inference('sup-', [status(thm)], ['161', '167'])).
27.25/27.58	tff('169', plain, in(sk_X456_, setunion(powerset(sk_X454_))),
27.25/27.58	    inference('sup-', [status(thm)], ['166', '168'])).
27.25/27.58	tff('170', plain,
27.25/27.58	    ![X464, X466]:
27.25/27.58	      (zip_tseitin2(sk_X14_(X466, X464), X466, X464)
27.25/27.58	       | ~ in(X466, setunion(X464))),
27.25/27.58	    inference('cnf', [status(esa)], [zf_stmt_14])).
27.25/27.58	tff('171', plain,
27.25/27.58	    zip_tseitin2(sk_X14_(sk_X456_, powerset(sk_X454_)), sk_X456_, 
27.25/27.58	      powerset(sk_X454_)),
27.25/27.58	    inference('sup-', [status(thm)], ['169', '170'])).
27.25/27.58	tff('172', plain,
27.25/27.58	    ![X446, X447, X448]: (in(X448, X446) | ~ zip_tseitin2(X446, X448, X447)),
27.25/27.58	    inference('cnf', [status(esa)], [zf_stmt_8])).
27.25/27.58	tff('173', plain, in(sk_X456_, sk_X14_(sk_X456_, powerset(sk_X454_))),
27.25/27.58	    inference('sup-', [status(thm)], ['171', '172'])).
27.25/27.58	tff('174', plain,
27.25/27.58	    ![X446, X447, X448]: (in(X446, X447) | ~ zip_tseitin2(X446, X448, X447)),
27.25/27.58	    inference('cnf', [status(esa)], [zf_stmt_8])).
27.25/27.58	tff('175', plain,
27.25/27.58	    in(sk_X14_(sk_X456_, powerset(sk_X454_)), powerset(sk_X454_)),
27.25/27.58	    inference('sup-', [status(thm)], ['171', '174'])).
27.25/27.58	tff('176', plain,
27.25/27.58	    ![X750, X751]: (subset(X750, X751) | ~ in(X750, powerset(X751))),
27.25/27.58	    inference('cnf', [status(esa)], [zf_stmt_14])).
27.25/27.58	tff('177', plain, subset(sk_X14_(sk_X456_, powerset(sk_X454_)), sk_X454_),
27.25/27.58	    inference('sup-', [status(thm)], ['175', '176'])).
27.25/27.58	tff('178', plain,
27.25/27.58	    ![X574, X575, X576]:
27.25/27.58	      (~ subset(X574, X575) | in(X576, X575) | ~ in(X576, X574)),
27.25/27.58	    inference('cnf', [status(esa)], [zf_stmt_14])).
27.25/27.58	tff('179', plain,
27.25/27.58	    ![X0]:
27.25/27.58	      (~ in(X0, sk_X14_(sk_X456_, powerset(sk_X454_))) | in(X0, sk_X454_)),
27.25/27.58	    inference('sup-', [status(thm)], ['177', '178'])).
27.25/27.58	tff('180', plain, in(sk_X456_, sk_X454_),
27.25/27.58	    inference('sup-', [status(thm)], ['173', '179'])).
27.25/27.58	tff('181', plain, ![X668]: (~ sk_X455_(X668) | ~ in(X668, sk_X454_)),
27.25/27.58	    inference('cnf', [status(esa)], [zf_stmt_14])).
27.25/27.58	tff('182', plain, ~ sk_X455_(sk_X456_),
27.25/27.58	    inference('sup-', [status(thm)], ['180', '181'])).
27.25/27.58	tff('183', plain, $false, inference('sup-', [status(thm)], ['164', '182'])).
27.25/27.58	
27.25/27.58	% SZS output end Refutation
27.25/27.58	% Zipperpin 1.5 exiting
27.25/27.59	EOF